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stringlengths 1.4k
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ms in 72*z + 56*z + 10*z.
138*z
Collect the terms in 142*o + 140*o + 132*o - 684*o + 133*o + 138*o.
o
Collect the terms in 112*b**2 - 14 - 58*b**2 - 56*b**2 + 14.
-2*b**2
Collect the terms in -85145 + 10*t**3 + 12*t**3 + 85145.
22*t**3
Collect the terms in -3*g - 18*g**2 + 2346 + 2348 - 4694.
-18*g**2 - 3*g
Collect the terms in -14*f - 17*f - 45*f**2 - 23*f + 54*f + 66*f**2.
21*f**2
Collect the terms in -718*q**3 + 356*q**3 + 360*q**3.
-2*q**3
Collect the terms in 363501*t**3 - 726983*t**3 + 363477*t**3.
-5*t**3
Collect the terms in -3719*y**3 - 20959*y**3 - 10922*y**3 - 14801*y**3.
-50401*y**3
Collect the terms in 3 - 30*x + 7*x - 84*x - 266*x.
-373*x + 3
Collect the terms in -128 - 112 + 247 - 24*k - 21*k.
-45*k + 7
Collect the terms in -158*r + 447494878 - 447494878.
-158*r
Collect the terms in 439*p**3 - 159*p**3 - 276*p**3.
4*p**3
Collect the terms in 6*a**3 - 1746*a**2 + 5248*a**2 - 1751*a**2 - 1751*a**2 - a**3.
5*a**3
Collect the terms in -232*y**2 + 87*y - 87*y + 1039*y**2.
807*y**2
Collect the terms in -721*i + 324*i + 615*i.
218*i
Collect the terms in 16 - 9 - 7 - 77*q + 145*q.
68*q
Collect the terms in 49*f**2 - 22*f**2 + 244*f**2 + 4*f.
271*f**2 + 4*f
Collect the terms in -2 + 2 + 37*n**2 + 30*n**2 - 74*n**2.
-7*n**2
Collect the terms in 7*l + 12*l - 6*l + 284.
13*l + 284
Collect the terms in 2145 - 97*p**2 - 2145.
-97*p**2
Collect the terms in 3*v**3 - 33*v**3 - 38*v**3 - 31*v**3.
-99*v**3
Collect the terms in -20840*p + 41493*p + 4*p**3 - 20653*p.
4*p**3
Collect the terms in 539*q**3 - 5*q**2 + 5*q**2 - 278*q**3 - 264*q**3.
-3*q**3
Collect the terms in 33*f - 1 + 28*f - 122*f.
-61*f - 1
Collect the terms in -25 + 27*c + 152*c**2 + 98*c**2 - 84*c**2.
166*c**2 + 27*c - 25
Collect the terms in -8392*a + 6 - 6 + 8229*a.
-163*a
Collect the terms in -11 - 9*u + 37 + 30*u - 9*u - 10*u.
2*u + 26
Collect the terms in -27*a - 4*a + 112*a**2 + 31*a.
112*a**2
Collect the terms in 223*j**3 - 62*j**3 - 81*j**3 - 75*j**3.
5*j**3
Collect the terms in -459*z**3 + 1428*z**3 - 489*z**3 - 479*z**3.
z**3
Collect the terms in -1437 + 1437 + 8937*q**2 - 8956*q**2.
-19*q**2
Collect the terms in 3*z - z - 3*z + 331.
-z + 331
Collect the terms in -312 + 312 - 16673*x**2.
-16673*x**2
Collect the terms in 1412*l + 172*l**3 - 1412*l + 179*l**3 - 346*l**3.
5*l**3
Collect the terms in 183*c**2 - 26*c**2 - 38*c**2 - 59*c**2 - 39*c**2.
21*c**2
Collect the terms in -114*k - 27 + 19 + 96*k + 8.
-18*k
Collect the terms in -20*h + 92*h + 13*h + 16*h + 80*h.
181*h
Collect the terms in 58*r**2 + 67*r**2 + 70*r**2 + 18 - 196*r**2.
-r**2 + 18
Collect the terms in -r**2 + 5*r + 362 + 2*r - 7*r.
-r**2 + 362
Collect the terms in -31 - 4546*o - 35 + 97 + 4552*o - 31.
6*o
Collect the terms in -19*p + 6*p + 3*p.
-10*p
Collect the terms in 3*g**2 - 4*g**2 - 6981*g - 2*g**2.
-3*g**2 - 6981*g
Collect the terms in 73 - 218 + 68 + 71 - 22*u.
-22*u - 6
Collect the terms in 17*t + 14*t - 42*t + 7*t + 8*t.
4*t
Collect the terms in 479 + 15*y - 8*y - 5097 - 5*y.
2*y - 4618
Collect the terms in -7200*h + 3650*h + 3559*h.
9*h
Collect the terms in b**3 - 34798*b + 0*b**3 + 34798*b.
b**3
Collect the terms in 107*q + 144*q - 96*q + 1.
155*q + 1
Collect the terms in 782*x**3 - 276*x**3 - 241*x**3 - 273*x**3.
-8*x**3
Collect the terms in 2089*c**3 - 697*c**3 - 698*c**3 - 704*c**3.
-10*c**3
Collect the terms in 69 - 69 + 4132*w.
4132*w
Collect the terms in 102 - 16 - 13*v - 84.
-13*v + 2
Collect the terms in 41*z**3 - 39*z**3 - 14*z**3.
-12*z**3
Collect the terms in 1028*p**2 + 1048*p**2 + 1040*p**2 - 3117*p**2.
-p**2
Collect the terms in -19*u - 131*u**2 + 19*u - 158*u**2.
-289*u**2
Collect the terms in -3*t**2 - 116*t**3 + 11*t + 9*t**3 - 12*t.
-107*t**3 - 3*t**2 - t
Collect the terms in -107 - f**3 + 2*f**3 + 107 - 2*f**3 + 2*f**3.
f**3
Collect the terms in -386 + 13*v - 393 - 395 + 1566 - 392.
13*v
Collect the terms in -264 + 120 + 144 + 3*h**3 + 22*h.
3*h**3 + 22*h
Collect the terms in -601*x**2 + 86*x + 932*x**2 - 329*x**2 - 86*x.
2*x**2
Collect the terms in 9*c - 34*c - 47*c.
-72*c
Collect the terms in -2212*r**2 - 2233*r**2 + 4454*r**2.
9*r**2
Collect the terms in 5489632 - 28*q**2 - 5489632.
-28*q**2
Collect the terms in 4*o**2 + 0*o**2 - 3*o**2 - 348*o**3 + 5.
-348*o**3 + o**2 + 5
Collect the terms in -845*z**3 + 9*z**2 - 9*z**2 - 687*z + 687*z.
-845*z**3
Collect the terms in 1286*w**2 - 2607*w**2 + 1310*w**2.
-11*w**2
Collect the terms in 132*c**2 - 24408*c**3 - 132*c**2.
-24408*c**3
Collect the terms in 2*x - 284 + 76 + 78 + 92.
2*x - 38
Collect the terms in 59079*c**3 - 29552*c**3 - 29561*c**3.
-34*c**3
Collect the terms in -92*h - 64*h + 14*h.
-142*h
Collect the terms in -867 + 28*m**3 + 867.
28*m**3
Collect the terms in -800*r + 8570 - 8570.
-800*r
Collect the terms in 2*l + l - 77*l**3 + 23*l**3 - 4*l + 0*l.
-54*l**3 - l
Collect the terms in 91*d**3 - 27*d**2 + 27*d**2 - 2*d - 74*d**3.
17*d**3 - 2*d
Collect the terms in 19579782973 - 19579782973 - s**2.
-s**2
Collect the terms in -33*m**2 + 64*m**2 + 9*m**2 - 13*m**2 - 24*m**2.
3*m**2
Collect the terms in -214*p + 16065 - 16065 + 207*p.
-7*p
Collect the terms in 32*p**3 - 10 + 24 + 70*p**3 - 14.
102*p**3
Collect the terms in 6*z**3 - 22*z**3 + 14*z**3 + 280.
-2*z**3 + 280
Collect the terms in 218*p - 29*p + 71 - 104*p - 69 + 267*p.
352*p + 2
Collect the terms in -93*f + 94*f + 53 - 25.
f + 28
Collect the terms in 72*m**2 + 93*m**2 - 32*m**2.
133*m**2
Collect the terms in 28*o**3 - 27*o**3 - 43*o**3.
-42*o**3
Collect the terms in 369 + 368 - d - 741.
-d - 4
Collect the terms in 1049*m + 263*m + 1117*m - 403*m.
2026*m
Collect the terms in 15 - 42 + 11 + 16 + 232*i.
232*i
Collect the terms in 313298*i - 626562*i + 313292*i.
28*i
Collect the terms in -2908 + 2908 - 95*o**2.
-95*o**2
Collect the terms in 1271*n**2 - 1067360*n + 1067360*n.
1271*n**2
Collect the terms in -73*o - 89*o - 71*o + 305*o - 76*o.
-4*o
Collect the terms in 65*f - 32*f - 2 - 9*f - 27*f.
-3*f - 2
Collect the terms in -263 - 102*b**3 - 5*b + 3*b + 264.
-102*b**3 - 2*b + 1
Collect the terms in 141*o**2 + 935*o - 935*o.
141*o**2
Collect the terms in 13*w**3 - 1000*w + 498*w + 502*w - 2.
13*w**3 - 2
Collect the terms in 3 - 40 + 37 - 27*i - 23*i.
-50*i
Collect the terms in -7408 - 207*u + 7408.
-207*u
Collect the terms in 457*f - 74*f**2 - 457*f.
-74*f**2
Collect the terms in -49*l + 39*l**2 + 68*l**2 - 78*l**2.
29*l**2 - 49*l
Collect the terms in -50*x**3 + x**2 + 7*x**3 + 42*x**3 - 7*x**2 + 6*x**2.
-x**3
Collect the terms in 428 - 759*k + 759*k + 107*k**2 - 428.
107*k**2
Collect the terms in -1993814*b + 63*b**3 + 1993814*b.
63*b**3
Collect the terms in 145320*h + 145342*h - 290690*h.
-28*h
Collect the terms in -3*k**3 - 773*k + 440*k + 333*k.
-3*k**3
Collect the terms in 822*r - 355*r - 394*r.
73*r
Collect the terms in -22*y**2 - 2777201 + 2777201.
-22*y**2
Collect the terms in 4950*y - 2467*y - 2483*y + 2*y**2.
2*y**2
Collect the terms in 0 + 7*m + 4 + 0*m + 13*m - 1.
20*m + 3
Collect the terms in 91 - 36*c**2 - 2 - 11.
-36*c**2 + 78
Collect the terms in 8*j + 17*j**3 - j**3 + 57*j**3 + 57*j**3.
130*j**3 + 8*j
Collect the terms in -9*z + 3 - 43*z + 10*z - 15*z.
-57*z + 3
Collect the terms in -80 + 141 - 2*w**2 - 90.
-2*w**2 - 29
Collect the terms in 421*r**3 + 5*r - 5*r - 419*r**3 - 18*r**2.
2*r**3 - 18*r**2
Collect the terms in 1088*v + 503*v - 448*v.
1143*v
Collect the terms in 35*g + 4*g**2 - 131*g + 2*g**2 - 2 - 7*g**2.
-g**2 - 96*g - 2
Collect the terms in 779 + 778 - 1582 - 7*z.
-7*z - 25
Collect the terms in 771 + 764 + 771 - 16*j - 3077 + 771.
-16*j
Collect the terms in 28*q + 36*q + 36*q - 128*q + 36*q.
8*q
Collect the terms in 1 - 63*l**3 + 325*l**3 - 188*l**3 - 1 - 75*l**3.
-l**3
Collect the terms in -l - 5*l**2 - 439*l - 177*l - 5*l**2.
-10*l**2 - 617*l
Collect the terms in -92*r + 2088*r + 264*r.
2260*r
Collect the terms in 123 - c**3 - 402 + 279.
-c**3
Collect the terms in -75*s**3 - 11*s - 4*s**3 - 31*s**3 + 2*s + 11*s.
-110*s**3 + 2*s
Collect the terms in 995426*g**2 - g + g - 995231*g**2.
195*g**2
Collect the terms in 5 - 2308*j**2 + 0 - 4 + j.
-2308*j**2 + j + 1
Collect the terms in 3 - 21*w - 30*w - 23*w - 24*w + 103*w.
5*w + 3
Collect the terms in -24*u + 112*u - 44*u - 10*u**2 + 0*u**2 - 46*u.
-10*u**2 - 2*u
Collect the terms in -1800
|
{
"pile_set_name": "DM Mathematics"
}
|
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q).
q**3
Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b).
-b**3 + 2*b - 1
Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) - 3*v(r).
3*r**2
Let t = 7 - 12. Let s = -1 - t. Let k(z) = 3*z - 2. Suppose 0 = 2*l + l + 15. Let x(a) = 4*a - 2. Calculate l*k(o) + s*x(o).
o + 2
Let b(d) = 13*d**3 + 3*d**2 + 4*d + 3. Let r(a) = -12*a**3 - 4*a**2 - 5*a - 4. Give -4*b(h) - 3*r(h).
-16*h**3 - h
Let q(i) = -4*i + 1. Let j(w) = 13*w - 2. What is 4*j(k) + 14*q(k)?
-4*k + 6
Suppose 125*b - 20 = 129*b. Let i(k) = k. Let y(x) = 5*x + 1. Let d(o) = -11*i(o) + 2*y(o). Let p(c) = c - 1. What is b*p(f) - 3*d(f)?
-2*f - 1
Let h(a) = -8*a + 1. Let z be h(-1). Let l(y) = y - z*y**2 + 9 + y**3 + 0*y**3 - y. Let k(j) = 2*j**3 - 22*j**2 + 22. Determine 5*k(m) - 12*l(m).
-2*m**3 - 2*m**2 + 2
Let w(o) = -7*o - 4. Let d(n) = -6*n - 4. Give -4*d(x) + 3*w(x).
3*x + 4
Let g(k) = -7*k - k**3 - k**3 - 5*k**2 + 0*k + 5. Let p(a) = -2*a**3 - 4*a**2 - 6*a + 4. Let q(c) = -c**2 + 16*c + 5. Let n be q(16). Give n*p(d) - 4*g(d).
-2*d**3 - 2*d
Let c(v) = -12*v - 11. Let d(f) = -6*f - 6. Give -6*c(h) + 11*d(h).
6*h
Suppose -g + 20 = 3*l, -4*l = -3*g - 16 - 2. Let m(a) = -7*a**2 + 7*a + 4. Let i(t) = t**2 - t - 1. Give l*i(w) + m(w).
-w**2 + w - 2
Let u = -16 - -10. Let b(k) = -13*k - 7. Let q(d) = -14*d - 7. Let v(y) = -5*b(y) + 4*q(y). Let i(t) = -5*t - 4. Calculate u*v(j) - 11*i(j).
j + 2
Let l(c) be the third derivative of -c**4/6 - 7*c**3/6 - 3*c**2. Let y(q) = 0*q + 3*q + 1 - 2*q. Calculate l(p) + 6*y(p).
2*p - 1
Let i(r) = -2*r**2 + 4*r + 6. Let s(y) = y**2 - y - 1. Let m be (-2)/(((-1)/3 + 0)*6). Calculate m*i(u) + 4*s(u).
2*u**2 + 2
Suppose 4*h - 10 = 2*i, 11 = -2*i + 2*h + 3*h. Let r(n) = 2*n + 5. Let v(m) = 3*m + 9. What is i*v(f) + 5*r(f)?
f - 2
Let x(j) = -9*j + 5. Let l(o) = 0*o - 3 - 4*o + 5. Suppose -2*w + w = -5. Calculate w*l(p) - 2*x(p).
-2*p
Let j(z) = -z**2 + 3*z + 4. Let s(i) = 2*i**2 - 5*i - 7. Let c = -104 - -107. Give c*s(m) + 5*j(m).
m**2 - 1
Let d(c) = 4*c - 3. Let w(l) = 63*l - 48. Let k(u) = 42*u - 32. Let v be ((-3)/(-2))/((-3)/(-10)). Let r(h) = v*w(h) - 8*k(h). Calculate -11*d(m) - 2*r(m).
-2*m + 1
Let c(o) = 4*o**2 - o - 2. Let i be 3 + 3 + -1*8. Let k(s) = 9*s**2 - 3*s - 5. Give i*k(p) + 5*c(p).
2*p**2 + p
Let d(a) = -a - 1. Let x(y) = 2*y**2 - 2*y - 3. Calculate 3*d(u) - x(u).
-2*u**2 - u
Let f(u) = 16*u + 4. Let b(n) = -4*n - 1. Calculate 9*b(w) + 2*f(w).
-4*w - 1
Suppose -5*r - 6 = -16. Let k(g) = 10*g**3 - 9*g**2 - 9*g + 9. Let p(v) = -v**3 + v**2 + v - 1. Let h(d) = 19*d - 1. Let n be h(1). Determine n*p(o) + r*k(o).
2*o**3
Let p(c) = -c**2 + 2*c - 3. Let n(z) = z**2 - z + 2. Give -5*n(t) - 3*p(t).
-2*t**2 - t - 1
Let c(z) = 1 + 2 - 1 - z**2. Let h(b) = -2*b**2 - b + 5. Give 5*c(o) - 2*h(o).
-o**2 + 2*o
Let z(r) = -15*r**2. Let a(h) = -8*h**2 - 5*h**2 + 10*h**2. Determine 11*a(x) - 2*z(x).
-3*x**2
Let m(u) = -16*u + 4. Let c(y) = -5*y + 1. What is 7*c(w) - 2*m(w)?
-3*w - 1
Let w(p) = -p**3 + 4*p**2 - 2*p. Let c(r) = 5*r**3 - 17*r**2 + 9*r + 1. Determine 2*c(a) + 9*w(a).
a**3 + 2*a**2 + 2
Let n(i) = 2. Let k(g) = 2*g + 25. What is -k(b) + 5*n(b)?
-2*b - 15
Let b(a) = -a**2 - 3*a + 1. Let y(u) = -u**2 - 2*u + 1. Give -3*b(s) + 5*y(s).
-2*s**2 - s + 2
Let i(r) = 2*r**3 - 2*r - 2. Let o(g) = g**3 - 2*g - 1. Suppose 3*s + 2 = -7. Let v be 3 + s*2/(-6). What is v*o(z) - 3*i(z)?
-2*z**3 - 2*z + 2
Suppose 5*m - 2*a + 30 = -7*a, -2 = 2*a. Let f(n) = 22*n**2 - 16*n - 16. Let j(o) = -7*o**2 + 5*o + 5. Determine m*f(t) - 16*j(t).
2*t**2
Let m be (-77)/44 + 5/(-4). Let r(w) = -w**3 + w**2 + 3*w. Let n(a) = 3*a**3 - 2*a**2 - 8*a. What is m*n(i) - 8*r(i)?
-i**3 - 2*i**2
Let r(m) = -15*m**3 - 13*m**2 - m - 17. Let a(i) = 7*i**3 + 6*i**2 + i + 8. Determine -13*a(b) - 6*r(b).
-b**3 - 7*b - 2
Let f(c) = 3*c + 2. Let o(j) = -4*j - 3. Let w(r) = -3*f(r) - 2*o(r). Let d(y) = 2*y - 1. Determine -3*d(m) - 4*w(m).
-2*m + 3
Let m(a) = -a + 1. Let i = -118 + 122. Let f(q) be the second derivative of 0 - 1/2*q**2 + 1/6*q**i - 2*q + 1/6*q**3. Calculate -f(d) - m(d).
-2*d**2
Let c(k) = k. Let u(p) = -6*p + 4. Give -3*c(o) - u(o).
3*o - 4
Let d(x) = -x - 4. Let p(z) = -7 - 2*z + 5 - 18 - 2*z. Give -14*d(b) + 3*p(b).
2*b - 4
Let m(q) = 11*q + 5. Let v(i) = -5*i - 5. Let y(x) = x - 1. Let a(j) = -v(j) + 2*y(j). What is 8*a(p) - 5*m(p)?
p - 1
Let r(f) = f + 1. Let a(v) be the second derivative of v**3/6 + 13*v. Give a(p) - 2*r(p).
-p - 2
Let v be ((-22)/(-8))/(4/(-16)). Let c be 2/v + 2/11. Suppose c*t + 1 = t. Let h(i) = -i + 1. Let w(z) = 2*z - 2. What is t*w(m) + 4*h(m)?
-2*m + 2
Let w(r) = -7*r**2 - 9. Let s(u) = -1. Determine -18*s(f) + 2*w(f).
-14*f**2
Let n(x) = x**2 + 3*x - 4. Let b be n(3). Let u(l) = l**2 - b*l - 4*l**2 + 2*l**2 + 13*l. Let k(y) = 2*y**2 + 5*y + 1. Give -k(r) - 3*u(r).
r**2 - 2*r - 1
Suppose 0*j - 6 = 2*j + 4*w, j = -5*w. Let n(o) = -8*o**3 + 5*o - 5. Let k(l) = -l**3 + l - 1. Calculate j*k(b) + n(b).
-3*b**3
Suppose -4*i + 0*z - 5*z - 9 = 0, 3*z = i - 19. Suppose 3*f = i*f - 1. Let u(n) = 2 - f - n + 0. Let k(p) = p**2 - 5*p + 1. What is -k(h) + 3*u(h)?
-h**2 + 2*h + 2
Suppose 3*s = 5*i - 26 + 8, -5*i - 5*s = -50. Let h(u) = 2*u + 11. Let g(o) = -4*o - 23. Let b(c) = i*g(c) + 13*h(c). Let j(f) = 2*f + 4. Give -4*b(n) + 5*j(n).
2*n
Let s(a) = -3. Let r(b) = b + 10. Let m(u) = 2*u - 49. Let t be m(21). Calculate t*s(z) - 2*r(z).
-2*z + 1
Let x(d) = -1. Let n(c) be the second derivative of -3*c**5/20 - c**4/12 - 5*c**2/2 + 3*c. Calculate n(a) - 5*x(a).
-3*a**3 - a**2
Let l(g) = g**3 - g**2 + 1. Let x(o) = 13*o**3 - 6*o**2 + 4. Determine -4*l(b) + x(b).
9*b**3 - 2*b**2
Let n(b) = 3*b**3 + b**2 + 6*b + 6. Suppose -j = -108 + 103. Let f(w) = 2*w**3 + w**2 + 5*w + 5. Determine j*n(l) - 6*f(l).
3*l**3 - l**2
Let w be 6/10 + (-12)/20. Suppose w = -5*s + 4*s + 5. Let p(a) = a + 3. Let k(g) = 1. Give s*k(c) - p(c).
-c + 2
Let r(z) = -210*z + 85. Let d(j) = -5*j + 2. Determine 255*d(q) - 6*r(q).
-15*q
Let o(m) = -5*m**3 + 8*m**2 + 7*m + 5. Let d(v) = 4*v**3 - 7*v**2 - 6*v - 4. Determine -6*d(t) - 5*o(t).
t**3 + 2*t**2 + t - 1
Let v(p) = -989*p**3 + 115*p + 115. Let h(t) = 26*t**3 - 3*t - 3. Determine -115*h(l) - 3*v(l).
-23*l**3
Let x(t) = 6*t**2 - 5*t + 7. Suppose -2*q + 3*i + 2*i = 2, -5*q - 40 = 5*i. Let u(z) = 2 + 7*z**2 - 11*z + 6 + 5*z. Calculate q*x(d) + 5*u(d).
-d**2 - 2
Let j(d) = d + 2. Let k = 28 + -23. Let b(i) = 2*i**2 - 11*i + 2. Let v be b(k). Let u(z) = 1. What is v*u(a) + j(a)?
a - 1
Let n(x) = 3*x**2 - 6*x. Let c(m) = -m - 12. Let p be c(-11). Let i(a) = 8*a + a - 8*a - 2*a. Give p*n(f) + 5*i(f).
-3*f**2 + f
Let t(k) = -13*k**3 - 11*k**2 - 15*k + 9. Let h(i) = -7*i**3 - 6*i**2 - 8*i + 5. Calculate 11*h(g) - 6*t(g).
g**3 + 2*g + 1
Let x(f) = 3*f**3 + 5*f**2 - 6*f + 1. Let s(m) = -4*m**3 - 6*m**2 + 7*m - 1. Suppose 188 = 2*t + 16. Let p be t/18 - 16/(-72). Give p*s(j) + 6*x(j).
-2*j**3 - j + 1
Let o(f) = 16*f**2 - f + 1. Let x(y) = 15*y**2 - y + 1. What is -4*o(n) + 3*x(n)?
-19*n**2 + n - 1
Let q(p) = 2*p + 4. Let v(u) = -4*u - 8. Give -9*q(l) - 4*v(l).
-2*l - 4
Suppose -4*a + 315 = 3*l, -2*a + 210 = 2*l - 0*a. Let f(u) = 105*u - l*u + u**2. Let z(k) = -k**3 - k**2. Give f(h) + z(h).
-h**3
Let o(p) = 4*p**3 - 10*p**2 - 10*p - 10. Let k(h) = h**3 - 3*h**2 - 3*h - 3. Determine 20*k(g) - 6*o(g).
-4*g**3
Let i(z) = 320*z. Let s(d) = 11*d. Give -6*i(g) + 176*s(g).
16*g
Let f = -12 - -15. Suppose -f*m = -2*m - 4. Let v(w) = -5*w**2 - 14*w + 6. Let j(x) = 2*x**2 + 5*x - 2. What is m*v(t) + 11*j(t)?
2*t**2 - t + 2
Let i(g) = -3*g**2 + 7*g - 8. Let h(j) = j**2 - 3*j + 4. Suppose -1 - 5 = f - d, 0 = -2*f + 3*d - 13. Determine f*h(a) - 2*i(a).
a**2 + a - 4
Let y(c) = 6*c**2 + c**3 - 2*c**2 - 3*c + c**3. Let h(l) = l**2 - l. Give -4*h(j) + y(j).
2*j**3 + j
Let p(u) = u**3 - u**2 + u + 1. Let x be -2 + (-3)/(6/(-8)). Let y(i) = i**3 + x*i**2 + 6*i**2 - 7*i**3 - 5*i - 5 - 3*i**2. Determine 5*p(b) + y(b).
-b**3
Let u(t) be the first derivative of t**3/6 - t**2 - 4*t - 5. Let o(s) be the first derivative of u(s). Let z(j) = 2. Give 2*o(n) + 3*z(n).
2*n + 2
Let w(r) = 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
e h = 4*l + 4*y - 146, 239 = 3*l - y. Is l a prime number?
True
Let a(c) = 7*c**3 - 16*c**2 - 9*c + 115. Is a(11) composite?
True
Let j(b) = b**3 - b**2 + 3*b + 1. Let o(y) = -y**2. Let a(l) = j(l) + 2*o(l). Let v be a(5). Suppose -v = -n - n. Is n a composite number?
True
Suppose -5*d + t + 590312 = 0, -4*t - 115288 = -2*d + 120826. Is d composite?
True
Let s(b) = b + 1. Let d(k) = 15*k**2 + 2*k + 16. Let a(w) = 5*w**2 + w + 5. Let g(j) = 8*a(j) - 3*d(j). Let o(n) = -g(n) - 2*s(n). Is o(5) a composite number?
True
Suppose -507 = -5*d + 848. Suppose 4*z - d = 5*x, -247 = -3*z - 2*x - 3*x. Let y = -37 + z. Is y composite?
False
Let g be 5 + -3 + 0 + (-1)/(-1). Let h(n) = 14*n**3 + n**2 - 4*n + 2. Is h(g) a prime number?
False
Let o(z) = 3*z + 15. Let p be o(-6). Is 660 - p - (0 - -1) prime?
False
Let o(k) = 7*k + 1. Let i be o(-5). Is (-8 + -30)*i/4 composite?
True
Let o = -10 - -13. Suppose -f - 2 = o. Let x(u) = -36*u + 5. Is x(f) a composite number?
True
Let u = 14593 - 10146. Is u prime?
True
Let y(i) = -1338*i - 575. Is y(-11) a prime number?
True
Suppose 4*g + n = -n - 20, -g = 2*n + 5. Let z(f) = 6 + 5 - 169*f**3 - 2*f**2 + 168*f**3 - f - 12 + 0*f. Is z(g) a composite number?
False
Suppose 7*u - 7 = 266. Suppose 40*z = u*z + 485. Is z prime?
False
Suppose 2*m - 3*m = 4*z, 5*z = 0. Suppose o = -m*o + 319. Is o prime?
False
Suppose 4*b - g = -1 - 42, -4*g = 4*b + 68. Let y be 508/b*(-17 + 2). Suppose -p = 4*p - y. Is p a composite number?
False
Suppose -5*m + 15 = -0*m + 5*l, -m - 5*l + 7 = 0. Let i(s) = 17*s**2 + 4*s + 1. Is i(m) composite?
True
Suppose -4*q = 3*k - 25, -4*q = -3*k - 0*q + 17. Suppose 0*b = k*b - 1295. Is b prime?
False
Let o be (-3)/12 - (-37)/4. Let r = -5 + o. Suppose 0 = 2*w + 3*i - 178, -r*w - 4*i + 392 = -7*i. Is w prime?
False
Suppose -5*q + 2*q + 5*l - 8 = 0, q - l = 0. Is (-111)/(-6) - q/(-8) composite?
False
Let c = -257 + 470. Suppose 0 = 5*j - 722 - c. Is j a prime number?
False
Let q(x) = 2*x**2 - 6*x + 11. Suppose -4*f + 34 + 4 = 3*n, 34 = 4*f + n. Is q(f) prime?
False
Let i(v) = -v**3 - 5*v**2 - 13*v - 7. Let n be (-30)/3*(-1)/(-2). Let o be i(n). Is (2 + -1)/(1/o) prime?
False
Suppose 68579 = -284*k + 291*k. Is k a prime number?
False
Let z = -130 - -442. Suppose 0 = -5*h + 4*h + 3*g + 151, 0 = -2*h + g + z. Is h a prime number?
True
Let c(j) = 31441*j + 172. Is c(3) prime?
False
Suppose 2*m = -p + 12, -2 = -p - 0. Suppose -m*v + 2077 = -518. Is v composite?
True
Suppose -2*l = 10 - 6, 0 = 4*c - 2*l - 19760. Is c prime?
False
Suppose 0 = 3*h - 2736 - 3312. Suppose 3*b - h = -0*b. Suppose -3*j - 3*z = -j - 668, 2*j - b = -5*z. Is j a prime number?
True
Let f(k) = -2*k**3 + 6*k**2 + 2*k + 14. Let y be f(-7). Suppose 2*h - 3 = 13. Is (-3)/2 + y/h a prime number?
False
Let z(r) be the second derivative of 403*r**5/20 + r**4/3 - 5*r**3/6 + 5*r**2/2 + 4*r + 4. Is z(2) a composite number?
True
Suppose 0 = 4*m - 3*m - 3. Suppose 0 = 3*o + m*r - 5925, -4*o + 4*r - 974 + 8858 = 0. Is o prime?
True
Suppose -3 + 8 = m. Suppose -m*k + 5117 + 2158 = 0. Suppose -5*g + k = -2*v + 4*v, 4*v - 273 = -g. Is g a composite number?
False
Let x be (-3)/21 + 58/14. Suppose 6*q + 6 = 4*q, -x*z + q + 895 = 0. Is z a prime number?
True
Suppose 12 = 4*r, 4*f - 4*r = f - 735. Suppose -2*m = -7*m + 2260. Let u = m + f. Is u a composite number?
False
Suppose -17*d = 8869 - 34556. Is d a prime number?
True
Let i(y) = 164*y + 849. Is i(8) composite?
False
Suppose -178*h + 168*h + 16570 = 0. Is h prime?
True
Let z = -22 - -4. Is 16/72 - (-40)/z - -424 composite?
True
Suppose 21*t = 4*t + 11917. Is t a composite number?
False
Suppose 32 = -4*i + 2*k, -3 = 4*i + 3*k + 9. Let m(o) = -5*o + 8. Is m(i) a composite number?
True
Let t(h) = -h**3 + 4*h**2 + 5*h - 16. Let q be t(4). Suppose 4*i + 8*m - 12644 = q*m, 4*m + 9497 = 3*i. Is i a prime number?
True
Suppose -4*d - 3*a = -13, 0*a + 2 = 5*d - a. Suppose 5*c - d = -6. Is (-12)/c + (2 - 3) composite?
False
Let y(n) = 57*n + 4. Let w be y(-7). Suppose 3*x - 5*x = 500. Let c = x - w. Is c a prime number?
False
Let z(s) = 2*s**2 + s - 6. Let v be z(-3). Is v/(9/(-2)) + 193 composite?
False
Is (-6)/(24/(-140))*3006/90 composite?
True
Let y = 9 - -22. Let r = -28 + y. Is 795/2*2/r a composite number?
True
Let i = 108 + 128. Let a = i + -75. Is a composite?
True
Let j = 2378 - 1207. Is j composite?
False
Suppose 5*i = 82428 - 22618. Is i composite?
True
Let d(k) = k**2 - 4. Let c = -12 + 9. Let r be d(c). Suppose 0*h - 215 = -r*h. Is h prime?
True
Suppose -5*k = -h - h - 16257, 2*k - 6499 = -3*h. Is k composite?
False
Suppose -4*h + 3*q + 3731 = -0*q, 2*h - 2*q - 1866 = 0. Let j(b) = -b**3 - 16*b**2 - 7*b - 28. Let w be j(-16). Is h/14 + 36/w composite?
False
Is (-2)/(((-4)/(-5842))/(-1)) composite?
True
Suppose -3*u + 5562 = 3*q, 2*q = -3*q - 2*u + 9261. Is q prime?
False
Let s = -7 - -7. Let a(v) = -50*v**2 - 11 + v + 56 + 49*v**2 + 50. Is a(s) composite?
True
Let i = -4190 + 11047. Let g = -4404 + i. Is g prime?
False
Let k = 64 + -62. Suppose -k*w + 1174 = -2628. Is w a composite number?
False
Let o(y) = y**3 + 12*y**2 - 11*y - 13. Let x be o(-12). Suppose 5*z = 4*z + x. Is z composite?
True
Is 59 - (3*(-5 - -4) - -5) a composite number?
True
Suppose 2*c - z + 12 = 0, -12 - 12 = 2*c - 4*z. Let j be (-702)/c*(4 - 2). Suppose -j - 1384 = -5*g. Is g a prime number?
True
Suppose -53*b + 37*b = -301856. Is b a composite number?
True
Let g(z) = 4*z**2 + 4*z - 39. Let v = -10 - -26. Is g(v) composite?
False
Suppose 4*h + 9327 = 5*k - 17831, -4*k = 3*h - 21745. Suppose 7*t - 2*t - 4*c - 6797 = 0, -4*t = -5*c - k. Is t prime?
True
Let o(s) = -8 - 9*s - 20*s + 0*s - 8. Is o(-15) a prime number?
True
Let m = -11 + 47. Is 27/m - (-18841)/4 a prime number?
False
Suppose 3*u - 4264 = -4*q + 4*u, 4*u + 3185 = 3*q. Is q a prime number?
False
Let m be (-360)/(1/(0 + 1)). Suppose 1657 = -8*k - 3231. Let p = m - k. Is p a composite number?
False
Let c(d) = -d**2 + 12*d - 8. Suppose 4*y - 6*y + 18 = 0. Is c(y) a prime number?
True
Suppose -2*g - 161 = -4*m - 3*g, -m + 38 = g. Let u = m + -28. Let r(n) = 20*n - 7. Is r(u) a composite number?
True
Let q(w) be the second derivative of 2*w**4/3 - w**3/6 + 3*w**2 - 27*w. Let v(l) = -4*l**2 - 1. Let g be v(-1). Is q(g) prime?
True
Let i(g) = 8*g - 22. Let t be i(4). Suppose t*v + 655 = 15*v. Is v a composite number?
False
Suppose 13*l - 12*l = 3. Let h be (4/(-6))/((-10)/45). Suppose l*d = -h*n + 261 - 90, 0 = -4*n. Is d prime?
False
Suppose 0 = 2*y - 4*m - 20, -m = 3*y - 0 - 2. Suppose 6 = d + y. Suppose 0 = j - 4*j - 5*n + 1256, -d*j = 4*n - 1672. Is j prime?
False
Let b(x) = -x**3 - 7*x**2 + 11*x - 2. Let j = -38 + 25. Let t be b(j). Is (-4)/6 - t/(-3) prime?
False
Suppose h + h + 3604 = -4*u, -2*h = 3*u + 2705. Let b = -582 - u. Is b composite?
False
Let k(j) = j + 26. Let c be k(0). Suppose 0 = 3*n - 15, 3*b - c = -n - 9. Suppose -b*x + 4*o = o - 139, 68 = 2*x - 2*o. Is x composite?
False
Let z(m) = -225*m + 256. Is z(-35) a prime number?
False
Let k = 7 - 5. Suppose -2*y + 10 = 0, -3*o + k*o + 17 = -y. Suppose 0 = p - 255 + o. Is p a composite number?
False
Suppose 0 = 2*s - 2*p + 6*p + 10, 14 = 2*s - 2*p. Let f(b) = b**2 - b - 2. Let z be f(s). Suppose z*u - 31 - 5 = 0. Is u composite?
True
Suppose -28 - 23 = -3*j - 2*o, -5*j + o = -72. Suppose j*l + 5915 = 24800. Is l a prime number?
True
Suppose 2*o = 10058 + 1616. Is o a prime number?
False
Let g(x) = 99*x - 88. Is g(5) a composite number?
True
Let n(c) = 67*c**3 - 7*c**2 - 4*c + 29. Is n(5) a composite number?
False
Let k(q) = -q**3 - 9*q**2 - 2*q - 16. Let c be k(-9). Suppose 3*o + 5*w - 662 = 0, c*o + 3*w + 214 = 655. Is o prime?
False
Let w = -3626 + 15875. Is (w/27)/(1/3) prime?
True
Let d(y) = -27*y**3 - 8*y**2 - 35*y + 1. Is d(-6) a composite number?
True
Let t(q) = -q**2 - 8*q + 6. Let i be t(-7). Is (99 - i)/((-4)/(-14)) prime?
False
Suppose 5*s = 2*j + 29185, 10*s + 3*j = 5*s + 29185. Is s a prime number?
False
Let r = 18525 + -7471. Is r composite?
True
Let h(i) = -1477*i + 309. Is h(-5) a prime number?
False
Let h(b) = -3*b + b + b - 5*b - 10. Let j be h(-13). Is j/6 - 7/21 a prime number?
True
Let w = 91 + -61. Let v(j) = -3 + w*j - 1 + 1 + 21*j. Is v(6) a prime number?
False
Let j(n) be the fi
|
{
"pile_set_name": "DM Mathematics"
}
|
*((c*c**(5/4)*c)/(c*c**(-12)/c))**(-11) assuming c is positive.
c**(-7577/28)
Simplify (v/v**0)**(-1/6)/(v**(-1/4))**(34/5)*v*(v/((v**(1/5)*v*v*v)/v))/v*v*(v/(v/(v**(2/13)/v)))/v*v**(-8)/((v*v**6*v)/v*v*v*v) assuming v is positive.
v**(-722/39)
Simplify ((z*z*z**(-2/7))**(-28))**(-5/2)*(z**0)**39*(z/(z/((z/(z*z**(-3/2)*z*z*z)*z*z*z)/z))*z)/z*z/(z*z**(-1/2)*z) assuming z is positive.
z**120
Simplify ((v**(-1/4)/(v*v**(2/13)))/(v**(-6)/v*v**(1/7)))/((v/(v/(v/(v**3/v))))/v*v**(3/7))**(-1/36) assuming v is positive.
v**(8861/1638)
Simplify ((c*(c**(-6/5)*c)/c*c)/c*c*((c**22*c)/c)/c*c**26*c**(-26))**(-1/15) assuming c is positive.
c**(-109/75)
Simplify (h**9/(h**(-2/3)*h)*h**(-1)/(h/(h/(h*h**(-7/3)*h*h*h))))**(-37) assuming h is positive.
h**(-222)
Simplify ((k/((k**(-1/3)*k*k)/k)*k)/(k/(k*k/k**(-3)*k*k)))**(-30)*(k/(k**0*k))**(-16/7)/((k/k**3)/k**3) assuming k is positive.
k**(-215)
Simplify ((((t/(t*t/(t*(t/(t**(10/17)/t))/t)*t))/t*t/(t*t**(1/45)*t)*t*t*t*t)**(-3/10))**(-42/11))**(1/22) assuming t is positive.
t**(7441/102850)
Simplify (q*q/q**45)/q**40*q/(q*((q**(-31)/q)/q)/q)*q**(-2/83) assuming q is positive.
q**(-4069/83)
Simplify (i*i/i**(-2/3)*(i*i**(-2)*i)/i*i)/(i**(-5)*i**(-2/5))*((i**(-2)*i)**(-30))**20 assuming i is positive.
i**(9121/15)
Simplify ((v/v**(7/5))/(v/v**(5/3)*v))**45/((v*v**1/v)**41*(v*(v/(v**(2/21)*v))/v)/((v*v*v/(v/(v**(4/5)/v)))/v)) assuming v is positive.
v**(-7676/105)
Simplify ((k**(-21)*k*k**17)/(k/(k*k**(-1/8)/k))**21)**42 assuming k is positive.
k**(-4473/4)
Simplify ((i**2/i)/i**(-1/31)*(i*i**(-2/39))/i**(-13))**(-1/3) assuming i is positive.
i**(-18112/3627)
Simplify (j*j*j**3*j/((j**(-2)*j)/j)*j*j)**42*(j**(-6)/(j*j*j/(j*(j*j**(-2))/j*j)))**49 assuming j is positive.
j**(-21)
Simplify ((x**0/x)**(2/9)/((x**(-1/12)*x*x)/x**(-3)))/(x/x**(-3/8)*x/x**(-1)*x**(-7)/(x*x/x**(2/9))) assuming x is positive.
x**(19/72)
Simplify (((m**(-1)*m*m)**(42/13)*(m*m**1/m)**7)**39)**(-3/16) assuming m is positive.
m**(-1197/16)
Simplify ((y**35/(y*(y/(y**16/y))/y))/((y*y/y**(1/11))/((y**7*y)/y)))**11 assuming y is positive.
y**595
Simplify d*d**(-4)*d*d*d**(-1/4)*(d*d**(-1/4))/d**(-1)*(d**(-1)/d**(-2/11))/((d/(d*d**(-2)/d))/(d**4/d)) assuming d is positive.
d**(-7/22)
Simplify (y/y**(-2))/y*y*y**(-1/5)*(y/y**0*y)/y**(-2/7)*(y**5/y*y/y**(-4)*y)/(y/(y**0/y)*y*y)**(-49) assuming y is positive.
y**(7388/35)
Simplify ((d**(-1))**(-5/2))**(-15)/(((d*d**(4/7)/d)/(d**0/d*d))/((d**(-2/11)/d)/d**(5/6))) assuming d is positive.
d**(-9260/231)
Simplify (l**(2/17)/l**2)/(l**(-1/2)/l)**8*(l**(-3)/(l*l**(-1/13)))/(l**(-1/5)*l**8) assuming l is positive.
l**(-1774/1105)
Simplify (y**3*y**(-2/15))**(1/9)*(y/y**(-2))**34/(y**5/y*y*y*y**(-1/15)) assuming y is positive.
y**(13012/135)
Simplify ((((z/z**(1/7))/z*z)/z*z)/z**(-2/5)*z**1/z**(-6))/(z**(-4)/z**(-5)*z/z**(6/7)*z**(-5)) assuming z is positive.
z**(424/35)
Simplify (l**(4/7)*l**(1/4)*(l/(l/(l*l/l**3*l)*l*l))/l**(-2/9))/((l**(4/5)*l**(1/10))/(l**(2/9)*l**(-1)*l*l)) assuming l is positive.
l**(-799/1260)
Simplify ((z**(-1/68))**(-2/93)*(z*z**13)**(-31))**(2/39) assuming z is positive.
z**(-1372307/61659)
Simplify ((f*f*f**17*f)**(-11/4)/((f*(f*f**(1/22)*f*f)/f)/(f**24/f)))**(-12/13) assuming f is positive.
f**(4626/143)
Simplify ((s/s**1)/(s**(-1/3)*s*s))**(21/5)*s/(s/(s/s**4))*((s*s/(s*s**(2/7)))/s)/s*(s**(-2/5))**(-31) assuming s is positive.
s**(39/35)
Simplify (((h**(-5)/h)/h)**(-6)/(h**(-1/9)/(h/h**(-2/15)*h)))**(-32) assuming h is positive.
h**(-63712/45)
Simplify ((r*(r/(r/((r/r**(-1))/r))*r)/r)**25)**(-28)/(((r*r/((r**(-1/4)*r)/r)*r*r)/r**7)/(r**2/r**(-3))) assuming r is positive.
r**(-5569/4)
Simplify ((s**(-2/69)*s/s**(-1/27))/((s/((s/s**(2/51))/s))/(s/(s**(-1/8)/s))))**(1/38) assuming s is positive.
s**(176837/3209328)
Simplify ((l*l**29*l)/l)/((l/((l*l**(-27)*l)/l))/l)*(l**(-4/3)*l*l)/l**(-34) assuming l is positive.
l**(116/3)
Simplify (c/(c**(-8)*c)*c**(4/9)*c**8/c*c**(-4))/((c*c/(c*c**0))/c**(3/11)*c*c**5/c*c*c**5) assuming c is positive.
c**(-28/99)
Simplify ((x**(6/7)/(((x/x**18*x)/x)/x))/(x/(x**7/x)*x**3))**(-11/2) assuming x is positive.
x**(-803/7)
Simplify ((o/o**(1/15))/o**(-7))**(16/9)/(o/(o/(o/(o**(-3)/o)))*o**4/o*o/(o*o**2)*o*o**(-4)) assuming o is positive.
o**(1499/135)
Simplify (r**5/(r/(r/(r/(r/r**(-2/15)))))*(r**(-2/5)*r)**(-7))/(r**(-1/3)*r**(-2/5)*((r*r**(1/2)*r)/r*r)**(-36)) assuming r is positive.
r**(275/3)
Simplify (o*o**14*o/o**5*o*o)**(17/5)*((o**2*o*o*o)/o**(2/23))/((o/(o**(-2/21)/o))/(o*o*o**(-2)*o)) assuming o is positive.
o**(115963/2415)
Simplify ((m**(1/17)/m**(2/21))/(m**(1/17)/(m/(m**(2/33)/m))))**41 assuming m is positive.
m**(5822/77)
Simplify (m**11/(m**2/m*m))**(2/47)*m*m**1*m**(-1/4)*((m*m**(-2/7)*m)/m)**(-2/131) assuming m is positive.
m**(365837/172396)
Simplify s/s**(-5)*s*s*s**(-1)/s*s*s*s*s/s**(-1/10)*s*s**(-4)/s*(s/s**(1/2)*(s*(s*s*s*s**(-10)*s)/s*s)/s)**(-10/11) assuming s is positive.
s**(111/10)
Simplify ((q**(3/5)*q*q*(q/((q*(q/(q/(q*q**(-9))))/q)/q*q))/q)/(q**(-1/7)/q**(3/7)))**(-44) assuming q is positive.
q**(-17204/35)
Simplify (w/w**6)/(w**(-1/2)*w*w)*(w/w**(-8))/w**(-2/3)*((w*w**(1/3)*w)/w)/w**2*(w/(((w*w**5*w)/w)/w))/w**(-3) assuming w is positive.
w**(3/2)
Simplify ((((o**(-2/13))**19)**19)**34)**40 assuming o is positive.
o**(-981920/13)
Simplify ((d/d**8)/(d*d**(-2/13)*d)*(d**(-1/2)/d)**(14/11))/(d**(-1/16)/(d/(d*d*d**(-13)*d*d)))**44 assuming d is positive.
d**(247101/572)
Simplify ((n**(2/9)/(n/(n/(n*n**10))*n))/(n*n*n**(-2)*n*n/((n/(n**(10/7)/n*n))/n)*n))**(-2/37) assuming n is positive.
n**(2042/2331)
Simplify ((a**(-1/4)/a)**34*a**(-2/13)/a*a**(-1/3)/a)/(a*a**(-1/6)*a/(a**(3/4)/a)*a*a**(1/13)/(a*a**(-1)/a)) assuming a is positive.
a**(-7667/156)
Simplify (z**(2/7)*z*z**(-2/7))**(-35)/(((z/(z/((z**(-3)*z*z)/z)))/(z*(z/(z**(-4)*z*z))/z*z))/(z/z**(-2/9)*z*z**(-1/3))) assuming z is positive.
z**(-244/9)
Simplify ((k/(k**(-1)*k)*k*k)**(-44))**(-5/3)*(k**(2/9))**(-3/29)/(k**(2/5)/k**(2/17)) assuming k is positive.
k**(1624642/7395)
Simplify ((l*l/(l*l*l*l**(2/5)*l*l))/l*l**12/l*l**(6/17)*l/((l/(l*l*l**(-4)*l))/l))**31 assuming l is positive.
l**(18321/85)
Simplify (a*a**(-2/79)*a*a*a/(a/a**(-16))*(a/(a**16*a))**(-1/3))**(-28) assuming a is positive.
a**(51044/237)
Simplify ((v**0*v)**(-1/13)/(v**(-26/7)*v*v**32))**(1/6) assuming v is positive.
v**(-1336/273)
Simplify (((q**(-15/8)*q)/(q/q**20))**37)**(-10) assuming q is positive.
q**(-26825/4)
Simplify (m/m**2*m**(4/9)*m*m)**4/(m**7*(m*(m/(m*m**3)*m)/m*m*m*m)/m*m)**(1/24) assuming m is positive.
m**(49/9)
Simplify ((w**(1/4))**(-23/5)*w**(-2/7)*w*w*w**(-5/3)/w)/(((w*w**(1/7)/w)/(w*w/w**(-2)*w))/(w**1)**(1/10)) assuming w is positive.
w**(1199/420)
Simplify ((v**31*v)/v**(11/5))/(v**(-9/8)*v*v**(7/3)*v) assuming v is positive.
v**(3191/120)
Simplify ((d**(-15))**(5/12)*d*d**19*d*(d/(d/(d/(d/d**(-38)*d))))/d)**(-18) assuming d is positive.
d**(909/2)
Simplify u/u**(1/8)*(u*u**(-3/20)/u)/u*u*u**(8/7)*u**(-42) assuming u is positive.
u**(-11237/280)
Simplify ((c**(7/3)/c*c)/(c/c**(-2/9)))**27/(c**(-3/2)*c*c**2*c*c*((c*(c/(c*c**(-2/9)))/c*c)/c)/(c**(-2/13)/c)) assuming c is positive.
c**(5879/234)
Simplify (j**(-10)*j/((j/(j*j**(3/11)))/j)*j)**(-9)/(j**(-2/21)/j**(-2/13))**(-4/5) assuming j is positive.
j**(909794/15015)
Simplify j**(-2)/(j/(j*(j*j*j**(-1/2)/j)/j*j))*((j*j*j**(5/4)*j)/j)/j**(1/7)*(j/(j**(-1)*j))**(11/8)*j*j**(-6)*j*(j*j**(-1/4)*j)/j assuming j is positive.
j**(-15/56)
Simplify ((r**(-3/22)/(r/(r*r*r**(-21)/r)))/(r**(-11)*r*r**(1/24)))**44 assuming r is positive.
r**(-2951/6)
Simplify ((h**11*h)/h*h)**(-2/7)/(((h**(5/9)/h)/h*h*h)/h**(3/34)) assuming h is positive.
h**(-8345/2142)
Simplify ((l**(-1))**(-9/7))**11/((((l/((l**(2/5)/l)/l))/l)/l)**(-11/2)*(l**(-1/3))**(-18)) assuming l is positive.
l**(801/70)
Simplify ((c*c**(-1)*c)**(-25))**(1/27)/(c**10*(c/c**4)/c)**(-13/3) assuming c is positive.
c**(677/27)
Simplify ((l*l**(-6))/l**(-5)*((l*(l/(l/(l*l**6*l)))/l*l)/l*l)/l**2)/((l**(-1/4))**(-5/8))**(2/5) assuming l is positive.
l**(111/16)
Simplify ((d*d**(3/4)/d)/(d*d*d**(3/8)))**28*(d*d**(-5)*d**(-2))/(d**4*d*d**4/d) assuming d is positive.
d**(-119/2)
Simplify ((z*z/(z**(1/18)/z))**10/((z/(z/z**10))/z)**(5/21))**1 assuming z is positive.
z**(1720/63)
Simplif
|
{
"pile_set_name": "DM Mathematics"
}
|
863*n**3 + 24773*n.
-227178*n
Find the second derivative of 3*m**5 - 12111*m**3 + 6*m - 1425.
60*m**3 - 72666*m
What is the second derivative of -40*i**4*j + i**4 + 432*i**3 - 73*i*j + 9*i - 2*j - 1 wrt i?
-480*i**2*j + 12*i**2 + 2592*i
What is the third derivative of 381*w**6 + w**5 + 54*w**3 + 3*w**2 + 307*w wrt w?
45720*w**3 + 60*w**2 + 324
What is the third derivative of -3*o**4*z**3 + 6781*o**3*z - 57*o**2*z - 102*o*z**3 wrt o?
-72*o*z**3 + 40686*z
Find the third derivative of 1853752*k**4 + 196856*k**2 + 1 wrt k.
44490048*k
What is the derivative of -4*i*l**3 + 2265*i + 2*l**3 - 1498 wrt i?
-4*l**3 + 2265
Find the second derivative of 10*b**3*i*r + 3*b**2*i*r - 22*b**2*i + 19*b**2 + b*i + 7*i - 876*r wrt b.
60*b*i*r + 6*i*r - 44*i + 38
What is the third derivative of -q**4 + 2*q**3*r - 4435*q**3 - 2*q**2*r + 5*q**2 + q*r + 477*q + 27 wrt q?
-24*q + 12*r - 26610
What is the derivative of 2*p**4 + 2*p**3 + 1651110*p**2 + 661611 wrt p?
8*p**3 + 6*p**2 + 3302220*p
Find the third derivative of 52744*j**6 + j**2 - 16894.
6329280*j**3
Find the third derivative of 4*p**5 + p**4*w**2 + 85*p**3 + 17*p**2*w - p**2 - 20*p*w**2 - 2*w**2 wrt p.
240*p**2 + 24*p*w**2 + 510
What is the third derivative of -298*f**2*v**3 - 395*f**2*v - 4*f*v**3 + 4*v**3 + 10*v**2 - 1 wrt v?
-1788*f**2 - 24*f + 24
What is the first derivative of 71188*g**2*t**3 + 11008*t**3 wrt g?
142376*g*t**3
Find the third derivative of 374602*y**3 - y**2 - 84*y - 41.
2247612
Find the first derivative of b*d**3 + 5937*b*d + 48989*b + 19*d**4 wrt d.
3*b*d**2 + 5937*b + 76*d**3
What is the third derivative of -90059*a**3*w**3 - a**3*w**2 - 2*a**3*w + 28*a**2*w**2 + 21*a**2*w wrt w?
-540354*a**3
Find the second derivative of -830*p**4 + 9*p**3 + 3*p**2 + 688*p - 68 wrt p.
-9960*p**2 + 54*p + 6
Find the second derivative of 552371*s**3 + 142423*s.
3314226*s
What is the third derivative of -2320*k**5 + 9*k**4 + k**2 + 72185?
-139200*k**2 + 216*k
What is the second derivative of 675*b**4 - 21*b**3 - 8*b**2 + 10*b + 16138 wrt b?
8100*b**2 - 126*b - 16
Find the first derivative of -23*c**3*u - 2*c**3 - 6949*c + 189*u wrt u.
-23*c**3 + 189
Find the third derivative of -438523*u**3 - 2*u**2 + 39*u + 160.
-2631138
Find the third derivative of -152*v**6 + 14*v**5 - 2*v**3 + 969*v**2 - 1.
-18240*v**3 + 840*v**2 - 12
Find the first derivative of -2266*i**3 - 70*i**2 - 1868529.
-6798*i**2 - 140*i
What is the second derivative of -10728*z**5 - 64*z - 19?
-214560*z**3
Find the third derivative of -146706*v**5 - v**4 - 2*v**3 - 1824273*v**2 wrt v.
-8802360*v**2 - 24*v - 12
What is the third derivative of -4*z**5 - 16*z**4 + 28*z**3 - 97542*z**2?
-240*z**2 - 384*z + 168
What is the second derivative of 5710906*k**2 - 4649147*k?
11421812
Find the second derivative of -40694*m**4 + 27305*m.
-488328*m**2
What is the third derivative of -682*r**4 + 713*r**3 - r**2 - 10260*r - 1 wrt r?
-16368*r + 4278
What is the second derivative of 33*d**4 + 2*d**3 + 47*d**2 - 61817*d wrt d?
396*d**2 + 12*d + 94
Differentiate 2*y**4 + 1647*y**2 + 4*y + 137682.
8*y**3 + 3294*y + 4
Find the first derivative of 11432*q**4 - 79*q**3 + 4502783.
45728*q**3 - 237*q**2
What is the second derivative of -2*m**2*p**2 + 2179*m**2 + m*p**2 - 14589*p**2 - 3*p wrt m?
-4*p**2 + 4358
Find the first derivative of 49851*p + 57744 wrt p.
49851
Differentiate 55*y**2 + 56*y - 20673.
110*y + 56
What is the third derivative of -331*g**2*n*z**2 + 4*g**2*z**3 + g*n*z**3 - 72*g*z**2 + 18*n*z**3 + 3*n*z**2 + 36*z**3 wrt z?
24*g**2 + 6*g*n + 108*n + 216
What is the first derivative of -27107*k**2 - 179860 wrt k?
-54214*k
Find the third derivative of 1217*k**5*p**3 - 260*k**3*p**3 - k**2*p**2 + 268880*k*p**3 wrt k.
73020*k**2*p**3 - 1560*p**3
What is the third derivative of 3*l**4 - 423538*l**3 + 1135*l**2 + 61?
72*l - 2541228
What is the third derivative of 2768218*f**4 + 117*f**2 + 134?
66437232*f
Differentiate -2*f*j**2*v - f*j**2 - f + 697*j**2*v**3 + 1752 with respect to v.
-2*f*j**2 + 2091*j**2*v**2
Find the second derivative of 24341*n**4 + n**3 + 5489*n wrt n.
292092*n**2 + 6*n
Find the second derivative of -3*t**4*u**3 - 22814*t**4*u - 11*t*u**2 + t - 4*u**3 + 57*u wrt t.
-36*t**2*u**3 - 273768*t**2*u
What is the second derivative of -10203*f**3 - 15*f**2 - 303718*f?
-61218*f - 30
Find the third derivative of -3*z**4 + 263973*z**3 - 3081394*z**2 wrt z.
-72*z + 1583838
What is the derivative of -230620*t**3 - 444394?
-691860*t**2
What is the third derivative of -5617*o**5 - 3*o**4 - 10*o**3 + 6199184*o**2?
-337020*o**2 - 72*o - 60
Find the third derivative of -67321*o**4 - 8*o**2 - 15*o + 25.
-1615704*o
What is the third derivative of -914*b**4*n + 8*b**3*n**3 - 33*b**2*n - 1114*n**3 wrt b?
-21936*b*n + 48*n**3
Differentiate 14400*c**4*y**3 - c**4*y - 2546*y**3 + 3 wrt c.
57600*c**3*y**3 - 4*c**3*y
What is the second derivative of -24*f**5 + 500*f**3*z**2 + 7*f*z**2 - f*z + 711*f wrt f?
-480*f**3 + 3000*f*z**2
Find the third derivative of -2*l**3*r*w - 406*l**3*w + 3*l**3 - 74*l**2*r*w + 3*l**2*r - 2*l - 10*r*w wrt l.
-12*r*w - 2436*w + 18
Find the second derivative of -91836*x**2 + 8450*x + 1.
-183672
What is the second derivative of 135351*g**3 - 4*g - 23490 wrt g?
812106*g
What is the third derivative of 404214*w**6 + 1392004*w**2 + 2*w wrt w?
48505680*w**3
Find the third derivative of -18*m**6 + 22*m**5 + 6*m**4 + 8679*m**2 - 2.
-2160*m**3 + 1320*m**2 + 144*m
Find the second derivative of 46959*l**4 + 2*l**3 + 2*l**2 + 91*l + 472 wrt l.
563508*l**2 + 12*l + 4
Find the second derivative of -3642*b**3*j*n**2 - 84*b**3*j*n - 4*j*n**2 + 118*j*n wrt n.
-7284*b**3*j - 8*j
Differentiate -14*d**2*i - 24710*d**2 - 567*i**2 + 2 wrt i.
-14*d**2 - 1134*i
What is the second derivative of 1853*c**3*x**2 - 100*c**3 + c**2*x**2 + 221*c**2*x + x**2 wrt x?
3706*c**3 + 2*c**2 + 2
Differentiate 800066*p - 1349963 with respect to p.
800066
Find the third derivative of -18*j**4 - 3018*j**3 - 4395*j**2 + 143*j.
-432*j - 18108
What is the third derivative of 3*m**5 - 7204*m**4 - 32527*m**2?
180*m**2 - 172896*m
What is the third derivative of 15588*v**5 - 2*v**4 - 77255*v**2 wrt v?
935280*v**2 - 48*v
What is the third derivative of -1135176*j**5 - 346216*j**2?
-68110560*j**2
Find the first derivative of -2404*q**2 - 4*q - 22082 wrt q.
-4808*q - 4
Find the second derivative of 4*g**3*p**2 - 2994*g**3 + 2*g*p - 17487*p**2 wrt g.
24*g*p**2 - 17964*g
Differentiate 5*c*i**3*u - 169*c*i**2*u - 1223*c + 5*i**3*u + 4*i**3 - 547*i**2*u - 26*i*u wrt c.
5*i**3*u - 169*i**2*u - 1223
Find the first derivative of 17*f**3*o + 44*f**2*o**3 + 2*f**2*o + 2*o**3 + 6337*o wrt f.
51*f**2*o + 88*f*o**3 + 4*f*o
What is the derivative of 8*z**4 + 1171*z**2 - 27778?
32*z**3 + 2342*z
What is the third derivative of 10719*i**4 - i**3 - 97*i**2 - 2*i - 38 wrt i?
257256*i - 6
What is the third derivative of -7789*f**5*r**2 - 2*f**5 - 5*f**2 + 2*f*r - 108*r**2 + 6*r wrt f?
-467340*f**2*r**2 - 120*f**2
What is the first derivative of 10*a**4 - 2*a**2 + 3530*a + 140485 wrt a?
40*a**3 - 4*a + 3530
What is the first derivative of -5*b**3*r - 186*b**3 + 31649*b**2*r**3 + 12*b + 5 wrt r?
-5*b**3 + 94947*b**2*r**2
Find the second derivative of a**3*c*u**3 + 2*a**3*c*u - 43*a**3*c - 60139*a**3*u**3 - 42*a**2*c*u - 6*a**2*c + 2*a*u wrt u.
6*a**3*c*u - 360834*a**3*u
What is the third derivative of 547090*j**5 + 2*j**4 - 2*j**3 + 999896*j**2 wrt j?
32825400*j**2 + 48*j - 12
What is the first derivative of 90827*s*t**3 + t**3 - 347*t**2 + 24*t wrt s?
90827*t**3
Find the third derivative of 55296*n**3 + 17*n**2 - 349 wrt n.
331776
Find the third derivative of 2*h**4 - 828501*h**3 + h**2 + 110*h - 1017.
48*h - 4971006
What is the second derivative of -1114026*c**2 - 1444293*c - 2 wrt c?
-2228052
Differentiate 35*k**2*t + 554*k*t**2 - 7*t**2 + 18*t - 47 wrt k.
70*k*t + 554*t**2
Find the second derivative of 2413532*q**4 + 2324308*q wrt q.
28962384*q**2
Find the third derivative of 3571*f*o**3*u*x**4 - 2*f*o**2*u**2*x - f*u**2*x**4 - 29*f + o**3*u*x - 7*o**3*u + 2*u**2*x**2 + 4*u**2*x wrt x.
85704*f*o**3*u*x - 24*f*u**2*x
What is the first derivative of -3*r**4 + 8672*r**3 + 2*r**2 - 43025?
-12*r**3 + 26016*r**2 + 4*r
What is the derivative of 48539*p**3 - 93345?
145617*p**2
Find the third derivative of 7*k
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the derivative of n(o) wrt o?
-2007
What is the third derivative of 854*p**2 - 5 + 8 - 1319*p**4 - 920*p**2 wrt p?
-31656*p
Let q be (2/15*6)/((-22)/(-715)). What is the second derivative of -q*o**2 - 91*o**3 + 26*o + 2 + 186*o**3 - 98*o**3 wrt o?
-18*o - 52
Find the second derivative of -833*h + 176*h - 267*h + 473*h**3 - h**2 wrt h.
2838*h - 2
Suppose -11*n + 10*n + 6 = 0. What is the third derivative of -1 - 84*s**n + 13745*s - 13745*s - 9*s**2 wrt s?
-10080*s**3
Differentiate -6501 + 6866 - 382*s**3 + s**3 wrt s.
-1143*s**2
Let z(h) be the third derivative of -195*h**8/112 + h**4/6 + 53*h**3/2 + 1556*h**2. Find the second derivative of z(t) wrt t.
-11700*t**3
Let r(f) be the first derivative of 2*f**7/7 - 14*f**6/3 - 7*f**3 + 51*f - 3138. Find the third derivative of r(c) wrt c.
240*c**3 - 1680*c**2
Let n = 270 + -265. Find the third derivative of 69*u**5 - 30*u**2 - 69*u**n - 8*u**6 wrt u.
-960*u**3
Let q(o) = -495*o**3 + 5*o + 1713. Let f(h) = -485*h**3 + 4*h + 1715. Let u(r) = 5*f(r) - 4*q(r). What is the first derivative of u(z) wrt z?
-1335*z**2
Let o(d) = -2*d**2 - 1. Let c(b) = 300*b**3 - 8*b**2 - 792. Let h(s) = -5*c(s) + 20*o(s). Find the first derivative of h(l) wrt l.
-4500*l**2
Let g = 2 - 0. Let d be 8 + ((-3)/g)/(8/16). Find the third derivative of 758*y - 758*y + 2*y**d + 17*y**2 wrt y.
120*y**2
Let u(h) = 16*h - 63*h + 32*h**2 - 86*h - 16. Let c(p) = -31*p**2 + 133*p + 12. Let a(l) = -4*c(l) - 3*u(l). What is the second derivative of a(w) wrt w?
56
Let d(n) = -21*n**2 + 19*n - 2275. Let t(c) = -6*c**2 + 9*c - 1137. Let s(q) = -2*d(q) + 5*t(q). What is the derivative of s(l) wrt l?
24*l + 7
Let f = -113 + 119. Suppose 9*c - 6*c = f. Find the third derivative of -59*r**c + 43*r**4 + 149*r**2 - 64*r**2 wrt r.
1032*r
Suppose 6*g - 272 - 40 = 0. What is the first derivative of -51 - 89 + 41 - g*j - 51*j - 51*j wrt j?
-154
Find the third derivative of 485*o**4 + 60*o**2 + 589*o**4 + 1657*o**4 - 912*o**2 wrt o.
65544*o
Let c(s) be the first derivative of 0*s**2 - 10 - 2/3*s**3 + 5/4*s**4 + 31*s. Find the first derivative of c(m) wrt m.
15*m**2 - 4*m
Differentiate 140 + 787 + 607*l**3 + 728*l**3 + 1735*l**3 + 110*l**3 with respect to l.
9540*l**2
Let l(i) = -64*i**5 + 56 - 29 - 27 + 23*i**2 + 3*i. Let y(s) = 704*s**5 - 252*s**2 - 32*s. Let b(j) = 32*l(j) + 3*y(j). Find the third derivative of b(a) wrt a.
3840*a**2
Let i be -7 + (-39)/(-4) + 1*(-2 + 0). Let q(p) be the second derivative of -5*p**2 + 0 - i*p**4 + 19*p + 0*p**3. What is the derivative of q(l) wrt l?
-18*l
Let a(c) be the third derivative of 1135*c**4/12 - 527*c**3/3 + 1320*c**2. Find the first derivative of a(m) wrt m.
2270
Find the third derivative of 1087*x**4 + x**4 + 1524*x - 444*x - 3*x**2 + x**2 wrt x.
26112*x
What is the second derivative of 4*z**2 + 62045*z**3 - 62251*z**3 - 2*z**2 + 2285*z wrt z?
-1236*z + 4
Let d(l) = 1790*l**2 - 3740*l + 18. Let u(m) = 3578*m**2 - 7477*m + 42. Let y(x) = -7*d(x) + 3*u(x). What is the second derivative of y(f) wrt f?
-3592
Let b(k) = 3*k**2 - 251*k + 372. Let v(p) = 4*p**2 - 268*p + 376. Let f(j) = 2*b(j) - 3*v(j). Differentiate f(d) with respect to d.
-12*d + 302
Let k(j) = j**4 - 284*j**3 + 2521*j**2 + 2. Let a(r) = -r**4 + 285*r**3 - 2522*r**2 - 3. Let o(v) = -2*a(v) - 3*k(v). Find the third derivative of o(t) wrt t.
-24*t + 1692
Let s(d) = 227*d + 1081. Let h(r) = 456*r + 2163. Let g(x) = 4*h(x) - 9*s(x). What is the first derivative of g(l) wrt l?
-219
Let h = 232 - 228. Find the second derivative of 4*l + 14*l**4 - 3 + 12*l**h + 11*l**4 + 0*l wrt l.
444*l**2
Let g(r) = 2111*r**2 - 23*r + 58. Let n(b) = 10560*b**2 - 112*b + 290. Let c(a) = -19*g(a) + 4*n(a). What is the second derivative of c(i) wrt i?
4262
Suppose 143*a - 144*a = -2. Find the third derivative of -k**3 + 1 + 3 + a*k**6 - 6*k**2 + 62*k**3 wrt k.
240*k**3 + 366
Find the third derivative of -5895*s**3 - 1284 - s + 2512 - 1209 + 6*s**2 wrt s.
-35370
What is the derivative of 15 + 1393*i - 214*i - 25 + 15 - 7*i wrt i?
1172
Let g(r) be the third derivative of r**5/60 + r**4/12 - 5*r**3/6 - 4*r**2. Let m be g(2). Differentiate 72 - 7*q**3 - 67 - 5*q**m wrt q.
-36*q**2
Find the first derivative of -4578*i**2 + 197*i**2 + 501*i**2 - 3221 wrt i.
-7760*i
Let n(r) = -22*r + 184. Let k be n(7). Differentiate 10 + k + h - 3*h**2 + 12 with respect to h.
-6*h + 1
Suppose -2*c + 3*v = -29, -c + v = -6 - 7. Suppose 5*x - 2*n = 7 + 34, 0 = 5*n - c. Differentiate 9*i - x*i + 28 - 13*i**3 + 0*i with respect to i.
-39*i**2
Let l(j) = 13456*j**3 - 3706*j**2 + 2*j - 6. Let q(f) = f**3 + f**2 - f + 3. Let o(s) = -l(s) - 2*q(s). What is the third derivative of o(v) wrt v?
-80748
Let b = 28 - 23. Let v(r) be the first derivative of -b*r + 7 - r - r**5 + 7*r. Find the first derivative of v(k) wrt k.
-20*k**3
Let v(a) = -66*a**5 + 670*a**2 + 4*a. Let n(d) = -67*d**5 + 669*d**2 + 5*d. Let b(g) = 4*n(g) - 5*v(g). What is the third derivative of b(s) wrt s?
3720*s**2
Differentiate -41081*l**3 - 41083*l**3 + 75*l**4 + 693 + 82162*l**3 with respect to l.
300*l**3 - 6*l**2
Let l(k) be the first derivative of 4*k**5/5 - 317*k**4/4 + 1704*k**3 - 2205. What is the third derivative of l(r) wrt r?
96*r - 1902
Let y(g) be the second derivative of -4019*g**5/10 - 3823*g**3/6 - 476*g. What is the second derivative of y(o) wrt o?
-48228*o
Let h(d) be the second derivative of 0*d**2 - d - 19/20*d**5 + 0*d**3 - 5/3*d**4 - 9. What is the third derivative of h(a) wrt a?
-114
What is the third derivative of 6364237*f**2 - 207*f**3 - 6364851*f**2 - 119*f**3 wrt f?
-1956
Let n(l) = 8*l**2 - 5*l + 3. Let d be n(2). Suppose 6*u - 5*g - d = u, -22 = -5*u + 4*g. Differentiate 1 + 7 - 2 - 22 + 20*w**u with respect to w.
40*w
Let v(d) be the first derivative of 3*d**5/5 + 33*d**4/4 + 13*d + 62. Let j(s) be the first derivative of v(s). What is the third derivative of j(z) wrt z?
72
Let b(y) = -1264*y**2 - 29*y - 534. Let n(l) = 632*l**2 + 16*l + 276. Let m(q) = -6*b(q) - 11*n(q). What is the first derivative of m(s) wrt s?
1264*s - 2
Let n(r) be the second derivative of 0*r**4 + 0*r**5 - 3/10*r**6 - 29/3*r**3 + 1/21*r**7 + 0 + 0*r**2 - 90*r. Find the second derivative of n(k) wrt k.
40*k**3 - 108*k**2
Let p(d) be the first derivative of -41*d**6/6 + 25*d**4/4 + 2*d**3/3 - 1183*d**2 - 4197. What is the third derivative of p(j) wrt j?
-2460*j**2 + 150
Let j(i) be the second derivative of -1438*i**5/5 + 204*i**4 - i**2 - 10422*i. Find the third derivative of j(q) wrt q.
-34512
Let j(s) = -30 + 25*s - 17*s + s**2 - 1. Let u be j(-11). What is the derivative of 19 - 2*q - u*q - 16*q wrt q?
-20
Let c(m) be the third derivative of -5537*m**5/60 - 6187*m**3/6 - 12007*m**2. Differentiate c(r) wrt r.
-11074*r
Let k(n) be the first derivative of -23*n**2 + 0*n**4 + 0*n + 0*n**5 + 0*n**3 + 169 - 103/3*n**6. Find the second derivative of k(r) wrt r.
-4120*r**3
Let q(o) be the second derivative of -5*o**4/12 + 49*o**3/6 + 378*o**2 - 2783*o. Find the first derivative of q(r) wrt r.
-10*r + 49
Differentiate -14*d**2 + 5639*d - 2842*d - 2834*d - 1246 wrt d.
-28*d - 37
Let l = -326 + 329. What is the first derivative of -3*d**3 - 5*d - 3 - l*d - 81 + 3*d wrt d?
-9*d**2 - 5
Let m = -55 + -14. Let i be -4 + 4 + 4 - m. Find the first derivative of -24 + i - 5*o**4 - 2*o**4 wrt o.
-28*o**3
Let j(p) = -69*p - 10. Let x be (-18 + 20)*((-6)/4 - 1). Let m(a) = 70*a + 11. Let l(v) = x*j(v) - 4*m(v). What is the first derivative of l(o) wrt o?
65
Let o(b) = -3*b**4 + 7*b**3 - 4*b**2 + 9*b - 928. Let w(f) = -13*f**4 + 28*f**3 - 17*f**2 + 34*f - 3706. Let g(c) = 17*o(c) - 4*w(c). Differentiate g(j) wrt j.
4*j**3 + 21*j**2 + 17
Suppose 309*m = 312*m - 156. What is the derivative of -2*q**2 + 30*q + 56*q - 127 - 112 - 116 + m wrt q?
-4*q + 86
Suppose 0 = -2*l - 4*o + 26, -19 = -4*l - 3*o + 8. Let t(r) be the second derivative of -1/6*r**l + 15*r**2 + 21*r + 0. Differentiate t(u) wrt u.
-1
Let p(u) = 1033*u - 924. Let c(t) = -2047*t + 1844. Let z(y) = -3*c(y) - 5*p(y). Differentiate z(h) wrt h.
976
Let v(n) be the first derivative of n**3/3 + 304*n**2 - 1062*n - 2605. What is the derivative of v(o) wrt o?
2*o + 608
Suppose -13*y = 14 - 170. Let p = 6 + 9. Differentiate 12 - p + 15 + 16*s**4 + y wrt s.
64*s**3
What is the third der
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(153)/(sqrt(45)/sqrt(5)))**2).
3
Simplify -2*-5*(4 + (sqrt(300) + 5)**2).
1000*sqrt(3) + 3290
Simplify 2*((4*sqrt(3))**2 + -4 + sqrt(108)*-3).
-36*sqrt(3) + 88
Simplify 4 + (-2 + 6*(sqrt(1872) - (sqrt(1872) + -2 + sqrt(1872))))**2.
-1440*sqrt(13) + 67496
Simplify (((sqrt(352)*2 + sqrt(352))/sqrt(8))/sqrt(144) + 0)**2.
11/4
Simplify ((-1*sqrt(544) + sqrt(544) + sqrt(544))*-1)/(-4*(sqrt(162) + 2*sqrt(162) - sqrt(162))).
sqrt(17)/18
Simplify (-4*-3*-1*5*(sqrt(704)*-1 + 1))**2.
-57600*sqrt(11) + 2538000
Simplify (3*4*(-1 + 4*sqrt(1300) + sqrt(1300) + 2))**2.
14400*sqrt(13) + 4680144
Simplify (sqrt(540)/(sqrt(192) + sqrt(12) + sqrt(12)))/sqrt(9) - (sqrt(50)/(sqrt(810) + -3*sqrt(810)))**2.
-5/324 + sqrt(5)/6
Simplify (-3*sqrt(16)/sqrt(8)*6)**2 - 2*1*sqrt(8)/sqrt(4).
-2*sqrt(2) + 648
Simplify 6*-2*((sqrt(144)*-1)/sqrt(12))**2*-5.
720
Simplify -2*(-3*sqrt(150)/sqrt(6))/(sqrt(10)/sqrt(2)*-4)*-5.
15*sqrt(5)/2
Simplify ((sqrt(675) - (sqrt(675) + (-5 + sqrt(675) + -2 - sqrt(675) - sqrt(675))) - -3*(-1 + sqrt(675)))*-5)**2.
12000*sqrt(3) + 270400
Simplify (-1*sqrt(1008)*-4 + sqrt(1008)*-1 + -2 - -6*(sqrt(1008) + 1*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 1)))))**2.
-2880*sqrt(7) + 226864
Simplify (((sqrt(330)*2)/sqrt(11) + (sqrt(30) - (1*sqrt(30) + sqrt(30))*5 - sqrt(30) - sqrt(30)))/(sqrt(24)*-1 + sqrt(24) + sqrt(72)/sqrt(3)))**2.
405/4
Simplify 2*(sqrt(104)/(sqrt(2)*2*4) + 3).
sqrt(13)/2 + 6
Simplify ((sqrt(72)/sqrt(3)*-5)/(sqrt(120)/sqrt(90) + sqrt(12)) + -2)**2 + 2.
15*sqrt(2) + 273/8
Simplify 3*(6*3*sqrt(209) - sqrt(209))/(sqrt(11) - (sqrt(22)/sqrt(2)*3 - sqrt(11))) + 0.
-51*sqrt(19)
Simplify 2 + (-6*5*sqrt(77)*2)/(sqrt(396) + sqrt(396) + (sqrt(396) + (sqrt(396) - (sqrt(396) + (sqrt(396) - (sqrt(396) - -1*sqrt(396))))))*-2 - sqrt(396)).
2 + 10*sqrt(7)/3
Simplify ((sqrt(88) + sqrt(88)*-3)/sqrt(4))/sqrt(2) - ((4*sqrt(792))/sqrt(2))**2.
-6336 - 2*sqrt(11)
Simplify (sqrt(3645)*2 + sqrt(720)*-2)/(sqrt(1089) - 5*sqrt(1089)*2).
-10*sqrt(5)/99
Simplify (5 + (2*sqrt(200) - sqrt(200)) + -2*(3 + sqrt(200)) + sqrt(200) + 3)**2.
4
Simplify ((sqrt(125) + (sqrt(125) - (-4 + -1 + sqrt(125))) + (-3*(sqrt(125) + 1) - sqrt(125)) + 4)*4)**2.
-2880*sqrt(5) + 18576
Simplify (sqrt(325) + -1*sqrt(325))*2 - (-3*sqrt(325)*-5)**2.
-73125
Simplify ((sqrt(1600) + sqrt(1600)*-3 + sqrt(1600))*4 - sqrt(1600))/(sqrt(30)/(1*sqrt(6)*-3)).
120*sqrt(5)
Simplify -2*(sqrt(22)/(sqrt(1100) + (sqrt(1100) - (2*sqrt(1100) + sqrt(1100)) - sqrt(1100))))**2 + (sqrt(288) - (0 + (sqrt(288)*2 + sqrt(288))**2)) + 2.
-259001/100 + 12*sqrt(2)
Simplify 3 + (-6*(sqrt(612) - (sqrt(612) + -1)))**2 - ((sqrt(612)*1)**2 + 1 - (sqrt(612) - (-4*(sqrt(612) - (2*sqrt(612) + sqrt(612))))**2)).
-39742 + 6*sqrt(17)
Simplify (2*sqrt(187))/sqrt(11) + 2 + 1 + (sqrt(17) - (-2 + sqrt(425) + sqrt(425) + sqrt(17)))**2 + 5.
-38*sqrt(17) + 1712
Simplify -1*(1*(sqrt(1584) + 2 + sqrt(1584)) + 1)**2.
-6345 - 144*sqrt(11)
Simplify ((sqrt(180) + sqrt(180)*5)/sqrt(6))/(-5*sqrt(160) + sqrt(10)).
-6*sqrt(3)/19
Simplify -1 + (sqrt(42) + (sqrt(42) - (sqrt(5082) + 4*sqrt(5082) - sqrt(5082))))/(sqrt(96)*-3)*4.
-1 + 14*sqrt(7)
Simplify -2*((sqrt(11) + sqrt(539) + 3)**2 + -6*(-2 + sqrt(11))).
-1450 - 84*sqrt(11)
Simplify ((((-2*sqrt(420))/sqrt(10))/sqrt(2))/((-4*sqrt(192) + sqrt(192))*3))**2.
7/1296
Simplify (-5 + (sqrt(108) + -1 + sqrt(108))*4*1 + -1)**2.
-960*sqrt(3) + 7012
Simplify (sqrt(1500) - -1*sqrt(1500))/sqrt(12) - (2*sqrt(560) - sqrt(560))/sqrt(7).
6*sqrt(5)
Simplify -1*(-2 + (sqrt(52)*-3)**2 + 1).
-467
Simplify -2 + (((sqrt(567) - 2*sqrt(567)) + sqrt(567))*1 - (1 + sqrt(7) + 1)*-6)**2.
144*sqrt(7) + 394
Simplify (((1 + sqrt(153))*6 + sqrt(153) + sqrt(153) + ((-3 + sqrt(153))*-3 - sqrt(153)))*-1)**2.
360*sqrt(17) + 2673
Simplify (-5*sqrt(153)*1 - -2*((-2*sqrt(153) - sqrt(153)) + sqrt(153)))/(((sqrt(576)*1 - sqrt(576)) + sqrt(576))*-6).
3*sqrt(17)/16
Simplify ((1*(sqrt(567)*2)**2 - sqrt(56)/((sqrt(8) - (sqrt(8) - sqrt(24)/sqrt(3)))*-2 - sqrt(8) - sqrt(8))) + -1)*4.
sqrt(7) + 9068
Simplify 3 + (0 + (sqrt(300) - (sqrt(300) + -2 + -1 + sqrt(300) - sqrt(300)))**2)*2.
21
Simplify -4*(-4 + (sqrt(1300))**2*4 + -2).
-20776
Simplify ((2 + sqrt(468))*3*-5)**2 - ((sqrt(468) + 0 + sqrt(468) + -4)**2 + (0 + sqrt(468))**2 + 1).
5496*sqrt(13) + 103843
Simplify (sqrt(192) + 1 + -4)**2 + 3 + (sqrt(27))**2*5.
-48*sqrt(3) + 339
Simplify 2 + (6*1*sqrt(14))/(sqrt(4)/(sqrt(4)/sqrt(2))) + 4.
6 + 6*sqrt(7)
Simplify (-3 + (sqrt(288) + 0 - sqrt(2) - (-4 + sqrt(128)))**2)*3.
93 + 72*sqrt(2)
Simplify (sqrt(33)/sqrt(3) + 0)*2 - (-5 + sqrt(11)*-4)**2*4.
-804 - 158*sqrt(11)
Simplify (-6*(sqrt(108) + sqrt(108) + -1 + 0 + (sqrt(108) - (sqrt(108) + -1 + -1) - sqrt(108))))**2.
432*sqrt(3) + 3924
Simplify ((sqrt(280)/(sqrt(15)/sqrt(3)*-1))/(sqrt(40)/sqrt(5)*6 - sqrt(24)/(sqrt(3)*-1 - sqrt(3))))**2.
28/169
Simplify 0 + ((1 + sqrt(700) + sqrt(28)/(sqrt(4)*1))*-5)**2 + -5.
550*sqrt(7) + 21195
Simplify -3*(5*1*sqrt(110)*2)/((sqrt(480) - (sqrt(480) + sqrt(480) + 1*sqrt(480) + sqrt(480)) - sqrt(480))/sqrt(3)).
15*sqrt(11)/8
Simplify -1 + (sqrt(132)/(3*sqrt(3)) - sqrt(44))/(1*(sqrt(4) + sqrt(28)/sqrt(7))).
-sqrt(11)/3 - 1
Simplify ((-1 + (2 + sqrt(170)/sqrt(10) - sqrt(153)/sqrt(9)*-1))*-6)**2.
144*sqrt(17) + 2484
Simplify (5*(1*sqrt(12) - sqrt(3) - sqrt(3) - (sqrt(432) + 2)))**2 + 2.
1200*sqrt(3) + 10902
Simplify ((sqrt(20)*2*-3)/sqrt(4) + (sqrt(450)/(sqrt(9)*-1 - sqrt(9)))/sqrt(10))**2.
845/4
Simplify (-4 + (sqrt(308)/(sqrt(11) - (sqrt(11) - sqrt(176))) - ((sqrt(147) - 1*sqrt(147))/sqrt(7))/sqrt(3)))*-3.
-3*sqrt(7)/2 + 12
Simplify -5*2*(-2 + 0 + sqrt(125))*-3*-3.
-450*sqrt(5) + 180
Simplify ((-1*sqrt(80) + -2 - sqrt(80))**2 - (3 + sqrt(80) + 1)**2) + ((sqrt(80) + 2 + sqrt(80) + 0)*5)**2.
800*sqrt(5) + 8328
Simplify -1 + (sqrt(475) + 0 + -3 + sqrt(475) + sqrt(475) + sqrt(475) + 0 + -2)**2 + -3.
-200*sqrt(19) + 7621
Simplify -1*(sqrt(252) + sqrt(252) + 2 + sqrt(252) - sqrt(252)) - (-5 + sqrt(252) + 1 + sqrt(252))**2.
-1026 + 84*sqrt(7)
Simplify (sqrt(1872)*-2*-2 - -5*sqrt(1872)*5)**2.
1574352
Simplify (((sqrt(150)/sqrt(3) - sqrt(50)) + 0 + (sqrt(72) + 0 - sqrt(2)) + (sqrt(2) - (sqrt(2)*-1 + -4)))*5)**2.
1400*sqrt(2) + 2850
Simplify 2 + sqrt(7) + 3 + -4 - 5*sqrt(14)/(sqrt(2) - (sqrt(2) + sqrt(8)/sqrt(4))).
1 + 6*sqrt(7)
Simplify (5*(sqrt(76) - 1*sqrt(76))*6)/((sqrt(324) + (sqrt(324) - -2*sqrt(324)))*-4).
0
Simplify 3*((0 + 3*sqrt(112) + sqrt(112) - sqrt(112) - sqrt(112)) + 4) + -1.
11 + 24*sqrt(7)
Simplify -6*1*((sqrt(2268) + -1)*5)**2*-2.
-10800*sqrt(7) + 680700
Simplify (sqrt(187)*-1*4)/(sqrt(22)/sqrt(2)*-6) - (1*sqrt(272)*1)**2*-4.
2*sqrt(17)/3 + 1088
Simplify 0 + sqrt(405) + (sqrt(405)*3 + 3)**2 + 1 + 5 + 2*sqrt(405).
189*sqrt(5) + 3660
Simplify 1*(sqrt(112) + -2 + 1 - -4*(3 + sqrt(112) + sqrt(112)))**2 + -3.
792*sqrt(7) + 9190
Simplify -1*sqrt(55)/(-6*(sqrt(20) - sqrt(5)))*-1.
-sqrt(11)/6
Simplify (sqrt(540)/(2*sqrt(12)) - ((sqrt(5445) - (-2*sqrt(5445) + sqrt(5445) + sqrt(5445))) + sqrt(45)))/((sqrt(144) + sqrt(144)*1)*5 + sqrt(144)) + -4.
-4 - 23*sqrt(5)/88
Simplify (-2 + sqrt(272)*-5 + sqrt(2448)*1 + 1 + sqrt(425) + sqrt(425))**2.
-4*sqrt(17) + 69
Simplify (0 + (sqrt(1584) + 1)*-6 - -1*(3 + (sqrt(1584) - 1*sqrt(1584))))**2.
432*sqrt(11) + 57033
Simplify (sqrt(3) + sqrt(3) + (2*sqrt(27)/sqrt(9) - sqrt(3)) + 2)*-5 + -5.
-15*sqrt(3) - 15
Simplify -1*(-6*sqrt(114)*-2 + 1*sqrt(114)*3)/(sqrt(54) + sqrt(108)/sqrt(2)*1).
-5*sqrt(19)/2
Simplify -2 + ((sqrt(132) + (sqrt(132)*-1 - sqrt(132)))*6 - sqrt(132))/(sqrt(12) + (sqrt(72)*-1)/sqrt(6) - sqrt(12)).
-2 + 7*sqrt(11)
Simplify (1*((-2*sqrt(825) - sqrt(825) - sqrt(825)) + sqrt(825)) + sqrt(825) + sqrt(825))/((sqrt(33) - sqrt(4752)*-2)/sqrt(3)).
-sqrt(3)/5
Simplify (sqrt(272) - (sqrt(272) - (3*sqrt(272) + sqrt(272))*-1 - sqrt(272))**2) + 0 + -5.
-4357 + 4*sqrt(17)
Simplify (sqrt(119) - sqrt(119)*4*3)/(sqrt(63)/(sqrt(63)/sqrt(7))).
-11*sqrt(17)
Simplify ((sqrt(640) + 1*(sqrt(640) - (sqrt(640)*-1 - sqrt(640))) + sqrt(640))/((sqrt(6655)*-2)/sqrt(11)))**2.
800/121
Simplify sqrt(143)/(-2*sqrt(99) + sqrt(11))*-4 - (0 + sqrt(117) + sqrt(91)/(sqrt(28)/sqrt(4)) + -3).
-16*sqrt(13)/5 + 3
Simplify (-2 + (-4 + -4*(sqrt(1300) + 1)*1)**2)*6.
3840*sqrt(13) + 125172
Simplify -5 + 2*(sqrt(1539) - (sqrt(1539) - (5*(sqrt(1539) - (0 + sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
he form o*p**4 + k*p**2 + m + i*p + l*p**3 and give l.
0
Express 2 - 1 + 2*g - 2*g**3 - 462*g**2 + 0 + g**4 + 460*g**2 as k*g**4 + t*g + q*g**2 + c*g**3 + m and give m.
1
Rearrange 797*b**4 - 798*b**4 + 4*b**3 - 4 + 3*b**3 + 2*b**2 - b**2 to the form r*b**3 + c*b**2 + k*b + j + s*b**4 and give s.
-1
Express 0*i**4 + 1143*i**2 + 2*i**4 - 1141*i**2 - 2*i**3 as a*i + f*i**3 + r + k*i**2 + v*i**4 and give k.
2
Rearrange -2*i - 41 + 15 - 8 to r*i + x and give r.
-2
Express (5*g - 5*g - 2*g)*(-4*g - 2 + 7*g - 5*g) as c + k*g + z*g**2 and give k.
4
Rearrange (87 - 24 - 17)*(5*d - 4*d - 2*d) + (2 + 4 - 5)*(3*d - 5 + 5) to o + w*d and give w.
-43
Express (-31 + 11 - 3 + (-2 + 1 + 2)*(2 + 2 - 2) + 3 - 3 + 2)*(0 + 0 - 2*c**3) in the form f*c + r + m*c**2 + k*c**3 and give k.
38
Rearrange 7 + 0*j**2 + 0 - 7*j**2 + 6*j**2 to n*j**2 + w*j + y and give y.
7
Express (-3*j - 2*j + 2*j)*(j - 2*j + 0*j)*(-9*j - 19*j + 0*j) - 2*j**3 + 3*j**3 - 2*j**3 in the form z*j**2 + l*j**3 + t*j + a and give l.
-85
Rearrange -2*y**4 + 2*y**4 + 0*y**4 - 1 - 3*y**2 - 9*y**4 to r + a*y**4 + i*y**3 + j*y + x*y**2 and give a.
-9
Rearrange -x - x - 2*x - 2*x to p + u*x and give u.
-6
Rearrange -19*k + 45*k + 29*k to g + x*k and give x.
55
Rearrange 0*a**2 - 3*a**2 + a**2 + 1 + a**2 - 1 + (4*a - 3*a - 3*a)*(a + a + 0*a) - 109 + 109 + 4*a - 2*a**2 to c*a**2 + p*a + q and give c.
-7
Express -2*a**3 + 8*a**3 + 80*a**2 - 82*a**2 in the form t*a**2 + n*a + p*a**3 + q and give p.
6
Express (-k + 0*k + 0*k)*(-3 + 6 - 7*k + 0) as m*k**2 + v*k + l and give m.
7
Rearrange 419 + z**2 + 2*z**3 - 2*z**3 + 2*z**4 - 420 to s + v*z**4 + x*z + k*z**3 + a*z**2 and give a.
1
Express -56 + 15*m**3 + m + 56 in the form d*m + v*m**3 + i*m**2 + a and give v.
15
Rearrange (-4 + t**2 + 4)*(-3*t + t - t) + 51 + t**3 - 51 + (-2*t**2 + 0*t**2 + 0*t**2)*(7*t - 3*t - 3*t) to g*t**3 + p*t + u*t**2 + y and give g.
-4
Rearrange 2*r**4 - 2*r**2 - 8*r**4 - 2*r**4 + (-3 + 3 + r**3)*(3*r - 5*r + 3*r) to u*r**2 + m*r**4 + w + y*r**3 + l*r and give u.
-2
Rearrange -8*y - y**2 + 2*y**2 + y**2 + (-y - y + 0*y)*(-y + 0 + 0) to l + k*y**2 + q*y and give k.
4
Express n - 4*n + 0*n + (-3*n + 4*n - 2*n)*(-4 + 2 + 3) - 3 + 3 - n + (8 - 4*n - 8)*(0 + 2 - 1) - 4*n - 4*n + 5*n in the form i*n + y and give i.
-12
Rearrange -2*s + 1 + 2*s + 6*s**2 - 4*s**2 + s**3 to the form y*s**2 + h*s**3 + n + v*s and give v.
0
Rearrange -13*k**2 + 26*k**2 - 3*k + 17*k**2 to x + q*k**2 + a*k and give q.
30
Express 38*t**4 + 39*t**4 - 75*t**4 + 2*t**3 + 2 + t + 3*t**2 in the form m + w*t**2 + n*t**3 + f*t + l*t**4 and give m.
2
Express (2 - 2 - h**2)*(-4*h + 3*h + 0*h) + (-h**3 - 2*h**3 + 0*h**3)*(5 - 3 - 1) as v*h**2 + c*h**3 + x*h + t and give c.
-2
Express 0*p**2 + 2 + p**2 + 2*p**3 - p**4 - 1 + 0*p**2 as v*p**2 + g*p**3 + m*p**4 + h + d*p and give m.
-1
Express (-1 - a**2 + 1)*(3*a - a**2 - 3*a) + (-10*a**3 + 10*a**3 - 12*a**3)*(-3 - a + 3) in the form u*a + m*a**3 + k*a**4 + c + r*a**2 and give k.
13
Rearrange n - 73*n**3 + 71*n**3 + 0*n to u*n + w + d*n**2 + b*n**3 and give u.
1
Express 29*f - 6*f - 15*f as p + c*f and give p.
0
Express (3 - 4 + 0)*(3 - 3 - y) - 11*y + 4*y - 13*y as d + j*y and give j.
-19
Rearrange 75 + 5*h**2 - 75 to the form m + g*h + u*h**2 and give u.
5
Rearrange -2*j + 4*j - 3*j + (2*j - 6*j - 7*j)*(3 - 1 - 4) + j - j - j to the form t*j + g and give t.
20
Rearrange -60 + 8*b**2 - b**2 + 57 to h*b**2 + s + a*b and give h.
7
Rearrange 2*p**4 + 675*p**2 - 683*p**2 + 4*p - p to the form z*p**3 + o*p**2 + b*p + r*p**4 + x and give r.
2
Express -2*f**4 - 3*f + 0*f**4 - 3 - 2*f**2 + 1 in the form v*f**3 + w + t*f + g*f**4 + c*f**2 and give w.
-2
Express 2*u**3 + u**3 + 4*u**2 - u**2 - 2*u**3 - 2*u in the form m*u + c*u**3 + q + p*u**2 and give p.
3
Express -30 - 127*w**3 + 30 + 2*w in the form p + g*w**3 + k*w**2 + s*w and give s.
2
Rearrange (-9 - 3 - 3)*(-27 - y + 27) to the form q + i*y and give i.
15
Express -2*w - w**3 + 3*w**3 - 3*w**3 + 4*w - 11 in the form h + p*w + t*w**3 + z*w**2 and give t.
-1
Express -10*u + 13*u + 29*u in the form g + f*u and give f.
32
Express -2 + 96*b**3 - 100*b**3 + b**2 + 0 in the form g*b**2 + k*b**3 + a + p*b and give k.
-4
Express (6 - 1 - 1)*(0*o - 3*o + 5*o) - 3*o + 14*o + 9*o as q*o + x and give q.
28
Express -3*v + 2*v + 3*v + 2*v - 3*v + 0*v - 3 - 2*v + 3 + (-3*v + v + v)*(-3 + 3 - 1) - 1 + v + 1 + v - 5*v + 4 + v as p + g*v and give p.
4
Rearrange (-2*j + 4*j + 0*j)*(j**3 + j - j) - 2*j**4 - j**4 - j**4 to the form m*j**3 + r*j**2 + c*j + v*j**4 + p and give v.
-2
Express -2 + 7*c**3 + 2*c - 9*c**3 - 8*c**3 - 9*c**3 as g + v*c**3 + f*c + m*c**2 and give g.
-2
Express 24*l - 3*l + 2 + 49*l as g + z*l and give z.
70
Express 8*s**3 - s**3 + 11*s**3 + (-s + 1 - 1)*(-3*s**2 + s**2 + s**2) + (2 - 2*s**2 - 2)*(-3*s + 2*s + 2*s) in the form o + h*s**2 + q*s**3 + z*s and give q.
17
Express -3*z**4 + 3*z**4 + 2*z**4 + 14*z**4 + 7 - 7 + (-z - z + 3*z)*(-3*z**3 + 2*z**3 + 0*z**3) in the form f*z**4 + x + b*z**2 + y*z + u*z**3 and give f.
15
Rearrange -27*s**2 - 11*s**2 - 15*s**2 + 5*s**2 - 3*s**2 - s**2 - 2*s**2 + 1 - 1 + (s + 1 - 1)*(-3*s - s + 2*s) to r*s**2 + k + x*s and give r.
-56
Rearrange (18*z - 54*z - 76*z + (-2 + 5 - 2)*(-4*z + 2*z + 3*z))*(-z**2 + 3*z - z - 3*z) to x*z**2 + j*z**3 + t + i*z and give x.
111
Express (0*m - 3*m + 5*m)*(-4*m + 4*m + 2*m + (-2 + 2*m + 2)*(4 + 0 - 3) + 18*m - 22 + 22 - m - 4*m + 4*m) as j*m**2 + i + w*m and give j.
42
Express 2*k**2 + k**3 - 6*k + 3*k - k + 7*k in the form c + d*k**3 + y*k + v*k**2 and give v.
2
Rearrange 3 - 2*o - 3 + (1 - 4 + 1)*(-1 + o + 1) + 18*o + 41 - 41 to t + l*o and give l.
14
Rearrange (-3*u + u - 6*u)*(8*u**2 + 0*u**2 - u**2)*(0 - u + 1 - 2) to w*u + i + l*u**4 + o*u**3 + t*u**2 and give l.
56
Rearrange 9 - 68*d - 3*d**3 + 68*d to b + c*d**2 + n*d + a*d**3 and give b.
9
Rearrange -22*j**2 - 60*j**2 + 250*j**2 to the form f + i*j + m*j**2 and give m.
168
Rearrange (-3 - 2 + 2)*(-3 - 5 + 6)*(-4 + 3 + 2)*(3*z**2 - 3*z**2 - 5*z**2) to x*z**2 + m + v*z and give m.
0
Rearrange (1 - 3 + 3)*(2*q - q + 0*q) + 1 + q - 1 + 127 - 114*q - 127 to v + s*q and give s.
-112
Express -3*o**3 + 10*o**2 + 9*o + o**3 - 2 - 9*o as i*o**2 + r*o**3 + s + a*o and give r.
-2
Rearrange (-d**3 - 2*d**3 + 4*d**3)*(0 - 8 + 20)*(1 + 3 - 3) to the form b*d**2 + z*d**3 + o*d + j and give z.
12
Express (-2 + 2 + i)*(-3*i + 10*i - 4*i) in the form g + v*i + t*i**2 and give t.
3
Express 5*c**3 - 18*c**2 - 2 - 4*c**3 + 22*c**2 + 2*c**4 in the form u*c + x*c**3 + a*c**4 + t*c**2 + o and give t.
4
Express 523*f - 2 + 2 - 525*f - 5*f**3 in the form h*f**3 + q*f**2 + x*f + l and give l.
0
Express (4 + 3*q - 4)*(5 - 10 + 17) + (3 - q - 3)*(-1 + 1 + 2)*(3 + 1 - 6) in the form y*q + j and give y.
40
Express (2 - 3 + 3)*(-y**2 + 2*y**3 + y**2) - y**3 - y**3 + 4*y**3 - 4*y**3 - 3 + 3 in the form z + i*y**3 + w*y + t*y**2 and give i.
2
Express -24 - 86*a**2 + 53 - 29 in the form j + g*a + k*a**2 and give k.
-86
Express 6 - 2 - 4 + 5*z in the form u + m*z and give m.
5
Rearrange 2*m**4 - m**4 - 2*m**2 - 4 + 2*m**4 + 2 to the form b*m**4 + l*m + w + n*m**3 + g*m**2 and give w.
-2
Rearrange -10 - 3 + 13 - 227*k to the form p*k + u and give p.
-227
Express (-5 - 5*j + 5)*(-j**2 + 4*j**2 - j**2 + (-2*j**2 + 4*j**2 + 0*j**2)*(1 + 0 + 3)) as q*j**2 + p*j**3 + d + w*j and give p.
-50
Rearrange 1 - 1 - 86*j + 133*j to c*j + r and give c.
47
Rearrange -f + 8*f - 13*f - 47*f to the form r*f + j and give r.
-53
Express -11*h + 5*h + 31*h as q*h + y and give q.
25
Express -c + 0*c - 4*c + (-4 - 1 + 3)*(-3 - 1 + 7)*(-3*c - 3*c + 5*c) in the form m + w*c and give w.
1
Rearrange (1 - 1 + 1)*(-1 - 1 + 6)*(2 - 3 - 2)*(l - l + l) to v*l + y and give v.
-12
Express (m - 4 + 4 - 2)*(8*m + 3 - 3) in the form u + w*m + i*m**2 and give w.
-16
Rearrange (-s - s + 4*s)*(36*s**2 + 36*s**3 - 36*s**2) to the form m*s**2 + a + y*s + f*s**3 + c*s**4 and give c.
72
Rearrange (1 + 2 + 2)*(53*c**2 + 2 + 0 - 51*c**2) to the form o + a*c + g*c**2 and give o.
10
Express (-1 + 2 + 1)*(7*r**2 + 6*r + 5*r - 2 - 9*r) as u*r**2 + t*r + c and give t.
4
Express (28 + 48*a - 28)*(3 + a - 3) - a**2 + a - a as k + w*a + n*a**2 and give n.
47
Rearrange (-8*n**3 + 15*n**3 - 11*n**3 - 5)*(-4 + 5 - 2) to the form i*n**2
|
{
"pile_set_name": "DM Mathematics"
}
|
rms in -10*h**2 + 8*h**2 - 133383*h + 133383*h + 6*h**2.
4*h**2
Collect the terms in -2845*n**3 - 4194*n**3 - 4205*n**3 + 11243*n**3.
-n**3
Collect the terms in 2 + 4422*h**2 + 7365*h**2 + 8*h**3 - 2.
8*h**3 + 11787*h**2
Collect the terms in -33919*s + 5650*s + 5652*s + 5657*s + 5632*s + 5661*s + 5655*s.
-12*s
Collect the terms in 3 - 3 - 32531*t**3 - 136588*t**3.
-169119*t**3
Collect the terms in 1193*f**2 + 17*f + 32*f + 1902*f**2 + 202*f**2 + 5.
3297*f**2 + 49*f + 5
Collect the terms in 0 - 31893*h - 2 + 30573*h.
-1320*h - 2
Collect the terms in 24*s**2 - 374*s + 170*s + 158*s - 9*s**2 - 17*s**2.
-2*s**2 - 46*s
Collect the terms in 381*p - 130*p - 1178*p - 574*p.
-1501*p
Collect the terms in -4274*l**3 + 51*l**2 + 4271*l**3 - 150*l - 51*l**2.
-3*l**3 - 150*l
Collect the terms in -2067*p + 465*p + 403*p + 407*p + 396*p + 404*p.
8*p
Collect the terms in -4104*o + 8245*o + 14 + 9 - 27 - 4123*o + 4.
18*o
Collect the terms in 67*k**2 - 122*k**2 + 54*k**2 + 6565 - 6565.
-k**2
Collect the terms in 97280*y + 97237*y - 194965*y - 4.
-448*y - 4
Collect the terms in 21081807*h**2 - 21081807*h**2 - 2*h**3.
-2*h**3
Collect the terms in -24873173*g**3 + 49746273*g**3 - 24873146*g**3.
-46*g**3
Collect the terms in -21*g - 292 + 290 + 147*g + 121*g - 22*g + 61*g.
286*g - 2
Collect the terms in 7 + 17*j**2 - 12*j**2 + 21 + 22.
5*j**2 + 50
Collect the terms in 839740001866*r**2 - 839740001866*r**2 + 2*r**3.
2*r**3
Collect the terms in 128*r**3 + 142*r**3 + 115*r**3.
385*r**3
Collect the terms in -458*f**3 + 554*f**3 + 396*f**3 - 465*f**3.
27*f**3
Collect the terms in 135 + 154 - 4*q + 155 + 154.
-4*q + 598
Collect the terms in -1357564*n - 7*n**2 + 678778*n - 7*n**3 - 8*n**3 + 678786*n + 14*n**3.
-n**3 - 7*n**2
Collect the terms in -6183173*i + 334981*i - 1358235*i.
-7206427*i
Collect the terms in -11972*w - 13503*w - 22596*w.
-48071*w
Collect the terms in 1542 - 52*n**2 - n + 43*n + 29*n**2 + 25*n**2.
2*n**2 + 42*n + 1542
Collect the terms in -391513*l**2 - 67329*l**2 - 169710*l**2.
-628552*l**2
Collect the terms in -15 - 2018*t + 15 - 3712*t.
-5730*t
Collect the terms in -6*f**3 + 73*f - 106 - 885*f - 486*f - 191*f.
-6*f**3 - 1489*f - 106
Collect the terms in -15*p - 2*p - 2781 + 54*p - 28*p + 2779.
9*p - 2
Collect the terms in 2 - 5 - 131478425706*k + 131478425679*k + 3.
-27*k
Collect the terms in -86926*j**2 + 173850*j**2 - 86984*j**2 - 1 + 3.
-60*j**2 + 2
Collect the terms in 15254*i**3 - 11939*i**3 + 26668*i**3.
29983*i**3
Collect the terms in -127*g - 117*g - 886*g**2 - 49*g**2 + 369*g - 123*g.
-935*g**2 + 2*g
Collect the terms in -7*h**3 - 20*h**3 - 2122639*h + 2122639*h.
-27*h**3
Collect the terms in 7 - 8 + 3 + 1069*j**3 + 2492*j**3 + 658*j**3.
4219*j**3 + 2
Collect the terms in 14375*l + 16110*l - 30466*l.
19*l
Collect the terms in 3711*h**3 - 7660*h**3 - 1 - 4325*h**3 - 6823*h**3.
-15097*h**3 - 1
Collect the terms in 2523*k**2 + 2900*k**2 - 62 + 29 + 22 + 13.
5423*k**2 + 2
Collect the terms in 16 - 52 + 77*b + 14 + 22 - 3*b.
74*b
Collect the terms in -631 + 614*r**2 - 38*r + 38*r - 631 - 612*r**2 + 1262.
2*r**2
Collect the terms in 8270 - 2755 - 2757 + 173*n - 2757 - 287*n.
-114*n + 1
Collect the terms in 2690*r**2 - 3 - 8348*r**2 + 5664*r**2.
6*r**2 - 3
Collect the terms in -35826*a - 282 + 150 + 132.
-35826*a
Collect the terms in 2 + 0 - 145238*l**3 - 2 + 145223*l**3.
-15*l**3
Collect the terms in 11 - 43 + 29 + 1032*a.
1032*a - 3
Collect the terms in -3 - 6152*s**2 - 5*s + 2053*s**2 + 2053*s**2 + 3 + 2045*s**2.
-s**2 - 5*s
Collect the terms in 310 + 15*y**2 - 3*y + 16*y**2 - 23*y**2.
8*y**2 - 3*y + 310
Collect the terms in 2025252894352 + 2*t**2 + 15*t**2 - 2025252894356.
17*t**2 - 4
Collect the terms in 681*f - 2755*f + 653*f + 705*f + 656*f.
-60*f
Collect the terms in 21*p + 33*p + 73127 + 24615 - 19*p.
35*p + 97742
Collect the terms in -31866 - 31863 + 1238*p + 63729.
1238*p
Collect the terms in -352*r - 358*r + 1416*r - 345*r - 364*r.
-3*r
Collect the terms in -254*i - 244*i - 336*i**3 + 812*i - 314*i.
-336*i**3
Collect the terms in 22306509*x**3 - 22306592*x**3 + 39*x**2 - 39*x**2.
-83*x**3
Collect the terms in -20 - 45 - 72*m - 46 - 44 + 35.
-72*m - 120
Collect the terms in -1856995*x**2 + 187 - 116 + 316 + 1856997*x**2.
2*x**2 + 387
Collect the terms in -1257 - 1213 + 62*v + 2471 - 96*v.
-34*v + 1
Collect the terms in -11850*i**2 - 9452*i**2 - 3771*i**2.
-25073*i**2
Collect the terms in 5*o**2 + 1 + 10*o**2 - 3*o**2 + 2*o**2 + 39*o - 605*o.
14*o**2 - 566*o + 1
Collect the terms in -103*i**2 + 113446 - 226862 + 113416.
-103*i**2
Collect the terms in -489*y**3 - 468*y**3 - 106*y**3 + 91*y**3.
-972*y**3
Collect the terms in 18532*j**2 - 9267*j**2 + 254*j**3 - 206*j**3 - 9265*j**2.
48*j**3
Collect the terms in -222 - 29 - 8*t**2 - 118 + 369.
-8*t**2
Collect the terms in -57963*c + 57963*c - 1870*c**2.
-1870*c**2
Collect the terms in 369456918*b + 35*b**3 - 369456918*b.
35*b**3
Collect the terms in -3130*f**2 - 4*f**3 + 1566*f**2 + 1564*f**2 - 2*f**3 - 3*f**3 + 5*f**3.
-4*f**3
Collect the terms in -38 + 1 + 3 + 23*j + 27 + 2 + 31*j.
54*j - 5
Collect the terms in -6566*x**3 - 150 + 277 - 589*x**3 - 127.
-7155*x**3
Collect the terms in -72315840 - 17*i + 72315840.
-17*i
Collect the terms in -4783*y**2 + 253*y**2 + 6654*y**2 + 1.
2124*y**2 + 1
Collect the terms in 734151*s**2 + 3 - 839318*s**2 - 3.
-105167*s**2
Collect the terms in -266403*k**3 - 15*k**2 + 9*k**2 + 6*k**2.
-266403*k**3
Collect the terms in 3*k - k + 333586 - 8*k + 4*k.
-2*k + 333586
Collect the terms in 5*z**2 + 1 - z**2 - 12*z**2 + 560*z**3 + 8*z**2 - 103*z**3.
457*z**3 + 1
Collect the terms in -3729*l**3 + 2*l**2 + 1790*l**3 + 1958*l**3.
19*l**3 + 2*l**2
Collect the terms in 14015*o + 15602*o + 9930*o.
39547*o
Collect the terms in -1 + 1 + 141369*y - 282730*y + 141310*y.
-51*y
Collect the terms in -2098258 + 1048976 - 2*p + 1049282.
-2*p
Collect the terms in -201005*l + 402 - 402.
-201005*l
Collect the terms in -2*r - 156*r**3 - 316*r**3 + 1127*r**3 - 247*r**3 - 508*r**3 - 484*r**3.
-584*r**3 - 2*r
Collect the terms in -24*x + 931 + 952 - 1884.
-24*x - 1
Collect the terms in -2753*d**2 - 1535*d**2 + 1343*d**2 - 2899*d**2 - 504*d**2.
-6348*d**2
Collect the terms in 28*x - 14 + 34*x + 15 + 25*x - 5*x - 13*x.
69*x + 1
Collect the terms in -12 + 69*c**3 - 31 - 21 - 224*c**3 + 156*c**3 - 28 + 26.
c**3 - 66
Collect the terms in -88121*v + 369338*v**3 + 88121*v.
369338*v**3
Collect the terms in 39880*y**3 + 2*y**2 + 39897*y**3 - 4*y**2 + 39950*y**3 - 119836*y**3 + 2*y**2.
-109*y**3
Collect the terms in 18*m**2 + 4579 - 4579 - 300*m**2.
-282*m**2
Collect the terms in -5*r**2 - 298 + 546 + 8*r**2 - 4*r**2 - 248.
-r**2
Collect the terms in -804 + 2332 - 741 - 787 + 18*v**3.
18*v**3
Collect the terms in -124*c**3 - 210626*c - 210656*c - 3 + 421245*c.
-124*c**3 - 37*c - 3
Collect the terms in -165122*k + 0 + 165307*k - 2 + 2.
185*k
Collect the terms in -340*s - 173*s + 2621*s + 2778*s.
4886*s
Collect the terms in 168309437202*j - 336618874397*j + 168309437194*j.
-j
Collect the terms in -9495113*t**2 + 2*t**3 + 3 - 9495102*t**2 + 18990215*t**2 - 3.
2*t**3
Collect the terms in -132385 - 3*m**2 + 262621 - 130236.
-3*m**2
Collect the terms in -5*l - 41*l - 2*l - 3*l + 53*l.
2*l
Collect the terms in -228 - 6*r**2 + 662 - 209 - 225.
-6*r**2
Collect the terms in 124*b**2 - 9 + 116 + 2861*b - 2863*b.
124*b**2 - 2*b + 107
Collect the terms in -74*f**3 - 383*f**3 - 404*f**3 + 426*f**3 + 1 - 1.
-435*f**3
Collect the terms in 21*t + 1388 + 1382 - 4275 + 1503 + 30*t.
51*t - 2
Collect the terms in 109 + 84*f**2 - 5*f + 106 - 215 - 169*f.
84*f**2 - 174*f
Collect the terms in -121186*r + 808338*r + 751584*r.
1438736*r
Collect the terms in -237*p + 451*p - 205*p + 580*p.
589*p
Collect the terms in -6*i - 9*i - 9810 + 9824 - 2*i - 3*i.
-20*i + 14
Collect the terms in -1476*x + 743*x - 3953*x**2 + 733*x.
-3953*x**2
Collect the terms in 5065*f + 5516*f - 2042*f + 7180*f - 39.
15719*f - 39
Collect the terms in -195*c**3 - 1 + 1 - 4*c**3 - 10*c**3.
-209*c**3
Collect the terms in -5464 - 482*z**2 + 243*z**2 + 245*z**2.
6*z**2 - 5464
Collect the terms in 1420*b**3 - 5*b - 18*b - 172*b**3 + 23*b.
1248*b**3
Collect the terms in -1185 - x**2 - 9652*x - 108 + 9650*x.
-x**2 - 2*x - 1293
Collect the terms in -5*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h).
-4*h**2
Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x).
-x - 2
Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)?
-j**2 + 1
Let j(u) = -u**3 - 96*u + 4. Let p(b) = 3*b**3 + 191*b - 9. Calculate -5*j(s) - 2*p(s).
-s**3 + 98*s - 2
Let z(g) = -22*g**3 + 2*g**2 - 6*g - 4. Let t(p) = p**3 + p + 1. Calculate -5*t(y) - z(y).
17*y**3 - 2*y**2 + y - 1
Let k(f) = 0*f**2 + 5*f**2 + 6 - f**2. Let s(t) = 7*t**2 + 11. Suppose 290 = -3*g + h + 113, -4*h = -5*g - 302. Let r be 9/(-75)*-5 + g/5. Give r*k(v) + 6*s(v).
-2*v**2
Let t(w) = -11*w**2 + 7. Let u(n) = 11*n**2 - 18*n - 4. Let p(h) = -12*h**2 + 21*h + 4. Let l(b) = -6*p(b) - 7*u(b). Give 7*l(m) - 4*t(m).
9*m**2
Let z(m) = 2*m**2 + 1. Let l(h) = h**2. Let u(i) = -i**3 + 39*i**2 - 39*i + 37. Let j be u(38). Give j*z(w) - 2*l(w).
-4*w**2 - 1
Let k(g) be the first derivative of 0*g**3 + 21 + 55/4*g**4 + 25*g + 0*g**2. Let q(o) = 9*o**3 + 4. Give 4*k(b) - 25*q(b).
-5*b**3
Let a(x) = -15*x - 267. Let b(r) = 3*r + 53. Give 5*a(j) + 24*b(j).
-3*j - 63
Let y(n) = -472*n**2 - 1 + 474*n**2 + 2*n**3 + 0 - 1. Let r(w) = -6*w**3 - 7*w**2 + 7. Calculate 2*r(v) + 7*y(v).
2*v**3
Let c(j) = -6*j**2 + 7*j**3 + 260 - 266 + 3*j**3. Let u(r) = -3*r**3 + 2*r**2 + 2. Let h = 8 - 6. What is h*c(p) + 7*u(p)?
-p**3 + 2*p**2 + 2
Let s(y) = -5*y**2 - 8*y - 109. Let q(r) = 2*r**2 + 3*r + 37. Determine 11*q(c) + 4*s(c).
2*c**2 + c - 29
Let p(h) = -5 + 4*h + h**2 - 3*h + 4. Let v(d) = 2*d**3 - 6*d**2 - 4*d + 6. Give -6*p(b) - v(b).
-2*b**3 - 2*b
Let r(j) = j**2 + 6*j + 3. Let b(l) = -6*l**2 - 31*l - 16. Let z be (-1)/2 + -3*56/(-48). Suppose -z*u + 50 = 17. Determine u*r(q) + 2*b(q).
-q**2 + 4*q + 1
Let x(y) = 7*y**2 + 3*y - 4. Let v(m) = 4*m**2 + 2*m - 2. Let j = 26 + -21. Suppose 3*z - 15 = 0, -5*z = -j*g - 0 - 10. Calculate g*x(p) - 5*v(p).
p**2 - p - 2
Let f(l) = -1104998*l. Let v(g) = 1897*g. Give -5*f(p) - 2913*v(p).
-971*p
Let q be 10/4 + (-3)/6. Let b(a) = 69*a**2 + 4*a - 72*a**q - 4 + 4. Let o(x) = -2*x - 1. Let g be o(-3). Let t(l) = -l**2 + 2*l. Determine g*t(u) - 2*b(u).
u**2 + 2*u
Let v(p) = -5*p**2 + 4*p + 3. Let t(i) = 5*i**2 - 5*i - 3. Determine 2*t(c) + 3*v(c).
-5*c**2 + 2*c + 3
Let o be (-32 - -30)*4/8. Let j(a) = a**2 - a + 1. Let v(w) = -4*w**2 + 2*w - 3. Calculate o*v(n) - 5*j(n).
-n**2 + 3*n - 2
Let y(i) = -84*i**2 - 2*i - 1. Let g(p) = -p**2. What is g(q) + y(q)?
-85*q**2 - 2*q - 1
Let u(g) = -g - 1. Let i(s) = 16*s + 10. Give i(d) + 6*u(d).
10*d + 4
Let g(m) = -m**3 + 2*m**2 + 4. Let q(r) = -r**3 + 3*r**2 + 3. Determine 6*g(x) - 5*q(x).
-x**3 - 3*x**2 + 9
Let j(x) = 6*x**2 - 7. Let y = 98 - 96. Let f(s) = 4*s**y - 8 + 4*s**2 + 2*s**2 - 3*s**2. Give -4*f(l) + 5*j(l).
2*l**2 - 3
Let d be 1*(-3)/6 - 162/(-36). Let r(w) = -4*w**3 + 19*w**2 - 7*w + 7. Let t(i) = -i**3 + 6*i**2 - 2*i + 2. Calculate d*r(z) - 14*t(z).
-2*z**3 - 8*z**2
Let c(g) = -6*g + 12. Let u(a) = 5*a - 14. What is 6*c(h) + 5*u(h)?
-11*h + 2
Let n(x) = -89*x**2 - 6. Let v(l) = 30*l**2 + 2. Give -3*n(i) - 8*v(i).
27*i**2 + 2
Let k(c) = 5*c**2 - 41*c + 6. Let x be k(8). Let u(t) = t**2 + t - 2. Let n(i) = -i + 3. Determine x*n(a) - 3*u(a).
-3*a**2 - a
Let d(m) be the second derivative of -m**3/3 + 5*m**2/2 - 2*m + 1. Let q(b) = -6*b + 14. What is 11*d(y) - 4*q(y)?
2*y - 1
Let n(o) = -8*o. Let z(a) = -2*a**3 + 23*a**2 - 12*a + 17. Let f be z(11). Let y(d) = -3*d. What is f*n(k) - 17*y(k)?
3*k
Let g(r) = -r**3 - 5*r**2 - 18*r - 7. Let h(y) = y**3 + 4*y**2 + 12*y + 5. What is 5*g(t) + 7*h(t)?
2*t**3 + 3*t**2 - 6*t
Let a(j) = -215*j - 9. Let o(w) = 209*w + 11. Give -7*a(c) - 6*o(c).
251*c - 3
Let u(v) = -v**2 + 2. Let n = -34 + 39. Suppose 2*c - 26 = 4*b + 2, -10 = n*b. Let k(q) = -3*q**2 + 5. Determine c*u(w) - 4*k(w).
2*w**2
Let s(a) = -2*a - 2. Let n(p) = -24*p - 18. Give 4*n(y) - 40*s(y).
-16*y + 8
Let w(g) = -2*g**2 - g - 2. Let p(v) = -6*v**2 - 3*v - 7. Suppose -44*h = -15*h - 58. Calculate h*p(i) - 7*w(i).
2*i**2 + i
Let p(l) = l + 5. Let s(m) = 3*m**2 + m + 23. Determine 3*p(u) - s(u).
-3*u**2 + 2*u - 8
Let v(x) = 443*x - 906*x - 5 + 3 + 462*x - 6*x**3. Let u(a) = -11*a**3 + a + 3*a - 6*a - 3. Determine -4*u(h) + 7*v(h).
2*h**3 + h - 2
Let n(l) = -792*l + 440. Let h(i) = -88*i + 48. Determine -55*h(c) + 6*n(c).
88*c
Let g(y) be the first derivative of -y**4/4 + y**3/3 - y**2/2 + y + 1. Let s(w) = -6*w**3 + 4*w**2 - 4*w + 4. What is -12*g(q) + 3*s(q)?
-6*q**3
Let u(q) = 327*q**2 - 5*q + 10. Let l(m) = 490*m**2 - 7*m + 14. What is 5*l(z) - 7*u(z)?
161*z**2
Let c(m) be the third derivative of -m**4/12 + m**3/2 + 72*m**2. Let t(x) = 2*x - 4. Determine -4*c(l) - 3*t(l).
2*l
Let u(a) = 12*a - 6*a - 1 + 0 - 5*a. Let s(d) = 6*d - 3. Determine -s(y) + 5*u(y).
-y - 2
Let x be (-1 - 1)/(4/(-22)). Let q(r) be the first derivative of r**4/2 + 7*r**3/3 - 3*r + 3128. Let v(b) = 4*b**3 + 13*b**2 - 5. Give x*q(s) - 6*v(s).
-2*s**3 - s**2 - 3
Let o(l) = 23*l**2 + 40*l + 7. Let w(y) = -15*y**2 - 27*y - 5. Calculate 5*o(k) + 7*w(k).
10*k**2 + 11*k
Let h(x) = -2*x**3 - 4*x**2 + x. Let y(d) = d**3 + d**2. Suppose 2 = 21*m - 19*m. What is m*h(f) + 3*y(f)?
f**3 - f**2 + f
Let x(r) = 5*r**2. Let j(z) = -3*z + z**2 + 5*z - 2*z. Let m(t) = 12*t**2 - t. Suppose 6 - 9 = -3*u. Let n be m(u). Give n*j(w) - 2*x(w).
w**2
Let j(d) = -d. Let v(m) = 35*m - 9. Give -6*j(f) + v(f).
41*f - 9
Let r = 205 - 206. Let l(o) = -o**3. Let g(s) = s**3 + s**2 + 4*s. Determine r*g(a) + l(a).
-2*a**3 - a**2 - 4*a
Let n(p) = -p + 1. Let v be -1 - (3 + -3)*(2 + -3). Let x(m) = -3*m + 6. What is v*x(t) + 2*n(t)?
t - 4
Let t(h) = 19*h**2 + 8*h + 21. Let p(z) = -13*z**2 - 5*z - 14. Calculate -8*p(g) - 5*t(g).
9*g**2 + 7
Let k be -2 - 32/(-12)*30/4. Let z(v) = v**3 - v**2. Let i(u) = -4*u**3 + 4*u**2. Let o be (-184)/(-6) - 8/12. Suppose 10 = -5*x + o. Give k*z(a) + x*i(a).
2*a**3 - 2*a**2
Let y(h) = -31*h - 11. Let q(g) = 152*g + 54. Determine -3*q(b) - 14*y(b).
-22*b - 8
Let n(o) = o**3 - 5. Suppose 0*w - 4*w + 16 = 0. Suppose -w*j + 4 = 2*z - 3*z, 0 = -3*j - 5*z - 20. Let f(q) = 74 + q**3 + j*q**3 - 80. What is 5*f(s) - 6*n(s)?
-s**3
Let l = 20 - 7. Let x(w) = -7*w**2 - 6*w + 9. Let n(q) = -15*q**2 - 13*q + 19. Let g(c) = l*x(c) - 6*n(c). Let b(j) = -2*j**2 + 8. Give 3*b(f) - 8*g(f).
2*f**2
Let b(z) = 11*z**3 - 4*z**2 - 5*z - 7. Let d = 531 - 526. Let l(f) = 17*f**3 - 6*f**2 - 8*f - 11. Give d*l(n) - 8*b(n).
-3*n**3 + 2*n**2 + 1
Let g(j) = -j**3 - 16*j**2 + 19*j + 40. Let y be g(-17). Let o(f) = -13*f + 6. Let t(b) = -26*b + 13. Determine y*t(v) - 13*o(v).
13*v
Let d(w) = 2*w**2 + w - 2. Let f(b) = 6*b**2 + 3*b - 5. Suppose k + 3*m = 0, -k + 6*k + 2*m = 13. Calculate k*f(s) - 8*d(s).
2*s**2 + s + 1
Suppose g = 3*g + 110. Let c = g + 97. Let h = -59 + c. Let y(d) = -8*d**2 - 3*d + 17. Let o(s) = -3*s**2 - s + 6. Determine h*o(k) + 6*y(k).
3*k**2 - k
Let q(k) = -3*k**2 + 4*k - 1. Let j(y) = -5*y**2 + 7*y - 2. Let f(o) = -4*j(o) + 7*q(o). Let n(w) = 3*w**2 - 2*w - 4. Give 2*f(r) + n(r).
r**2 - 2*r - 2
Let j(v) = -7*v**2 + 12*v + 14. Let d(t) = t**2 - 3. What is 5*d(q) + j(q)?
-2*q**2 + 12*q - 1
Let a(f) = 15*f**3 + 5*f**2 - 7*f - 2. Let p(u) = 23*u**3 + 8*u**2 - 11*u - 3. Let y be (0 - 10)/(-10 - (-13 - -5)). Determine y*p(v) - 8*a(v).
-5*v**3 + v + 1
Suppose 8*d + 14 + 10 = 0. Let a(m) = -240*m - 155. Let z(t) = 34*t + 22. Let s(y) = d*a(y) - 20*z(y). Let p(b) = -5*b - 3. Give -25*p(u) - 3*s(u).
5*u
Let z(t) = -13*t**2 + 8*t + 125. Let o(c) = 28*c**2 - 17*c - 250. What is -6*o(p) - 13*z(p)?
p**2 - 2*p - 125
Let p(h) = 26*h**3 - 16*h**2 + 11*h - 1. Let b(l) = 5*l**3 - 3*l**2 + 2*l. Suppose 165*y - 44 = 169*y. Give y*b(j) + 2*p(j).
-3*j**3 + j**2 - 2
Let s(o) = 67*o + 15. Let k(f) = 202*f + 41. Give -4*k(n) + 11*s(n).
-71*n + 1
Let h(n) = 5*n - 3. Let t(d) be the second derivative of 2*d**3/3 - d**2 - 2*d - 57. Determine 3*h(g) - 4*t(g).
-g - 1
Let i(m) = -2*m**3 - m**2 + m + 1. Let d = 1 - -4. Let k(l) = 748 - 749 - l**3 - 4*l**2 + d*l**2. Give -i(c) - k(c).
3*c**3 - c
Let z(w) = -4*w**2 - 2*w + 3. Let j(h) = 1. Give -6*j(g) + 2*z(g).
-8*g**2 - 4*g
Let u(a) = -1. Suppose f + 5*c = -15, -9*f + 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify (((z**9/z)/z**(-17))**(4/5))**21 assuming z is positive.
z**420
Simplify (a*(a*a**8)/a*a**(1/9))/(((a*(a**(-11)*a)/a*a)/a)/a**5) assuming a is positive.
a**(217/9)
Simplify (u/(u/(u/((u/(u/(u*u/(u*u*u**(-2)*u))))/u))*u))**(-4)/((u**11*u)/u**(2/23)) assuming u is positive.
u**(-274/23)
Simplify ((z*z**(-18)/z)/z*z)/(z*z**(5/9)*z)*z**(-2/11)/z**(7/3) assuming z is positive.
z**(-2284/99)
Simplify ((p*p*(p*p**8)/p)/p*p*p/p**3*(p**(1/3))**(6/25))**14 assuming p is positive.
p**(2828/25)
Simplify (a*a**(-24/5))**(-14)/(a**(-2/3))**(2/111) assuming a is positive.
a**(88598/1665)
Simplify (((m/(m/m**(1/13)))/(m/(m**(2/33)*m)))**(-40))**27 assuming m is positive.
m**(-21240/143)
Simplify (z/z**(-6))**(-1/14)/(z**(1/2)/z**(-13)) assuming z is positive.
z**(-14)
Simplify (n*n/n**13*n*n**(8/9))/(n/(((n*n**(-1))/n)/n*n*n*n))**(-8) assuming n is positive.
n**(-82/9)
Simplify (d**(8/9)/(d*d**10*d))/(d**(-10)/(d/(d*d*d/(d*d**(3/11))))) assuming d is positive.
d**(-182/99)
Simplify (v**4)**(4/11)/((v/v**(2/17))/(v/v**16)) assuming v is positive.
v**(-2698/187)
Simplify ((i**(-5)*i*i)/i)**29*((i/i**5*i)/i)/i**17 assuming i is positive.
i**(-137)
Simplify (g/((g*g**7)/g))**(-10/9)*g**(-4)*g/((g*g**15)/g) assuming g is positive.
g**(-34/3)
Simplify (((l*l/(l/l**3))/l)/(l**(-1/4)*l)*((l/(l**2/l))/l)/(((l*l*l**(-4/9)*l)/l)/l))**(1/2) assuming l is positive.
l**(25/72)
Simplify ((d**(-3))**(-24)/(d**(-12)/(d/d**(1/4))))**(-1/5) assuming d is positive.
d**(-339/20)
Simplify (d**14/d*d)/(d**11*d*d)*d*(d/d**(-1/4))/d*d*d*d**8 assuming d is positive.
d**(49/4)
Simplify ((j*j**(-13/3)/j)/j**20)/(j/(j**(-7)*j)*(j*j*j**(-1/18)*j*j)/j) assuming j is positive.
j**(-617/18)
Simplify ((y*y**1)**(2/119)*y*y**(-6)*y*(y*y**(-3/5)/y)/y)**(1/3) assuming y is positive.
y**(-1104/595)
Simplify (t**(1/4))**(-1/15)*(t**(-3/8))**(-5) assuming t is positive.
t**(223/120)
Simplify (p*p*p/p**(7/2))**(1/31)/((p/(p*p**3/p))/p)**(35/2) assuming p is positive.
p**(1627/31)
Simplify ((((w**(1/3)*w*w)/w)**(-6/29))**(-16/7))**(3/8) assuming w is positive.
w**(48/203)
Simplify ((p**(-1/19)*p*p)/(p/((p*(p/(p/((p**(-10/3)/p)/p)))/p)/p)*p))/(p*p**(1/4)*p*p**(-23)) assuming p is positive.
p**(3275/228)
Simplify ((q**11)**(2/17))**(1/44) assuming q is positive.
q**(1/34)
Simplify ((o**(1/4)/o*o)/o)**(-38)*(o*o**(-13))/(o/(o/(o**(-2/63)*o))) assuming o is positive.
o**(1957/126)
Simplify ((w*((w**(-3/7)/w)/w*w)/w)**44)**30 assuming w is positive.
w**(-13200/7)
Simplify ((l*l**(-1/2))**(2/25)/(l**(-1)/(l*l/l**(1/2)*l)))**(-14/5) assuming l is positive.
l**(-1239/125)
Simplify (d**1*d**(-1/3)/d*d**5/d**(-6))**33 assuming d is positive.
d**352
Simplify (t**11/t*t**(1/4)*t)/(((t*t/t**(-2/31))/t)/t*t*((t*t*t*t**5*t*t)/t*t)/t) assuming t is positive.
t**(147/124)
Simplify (d**(-2/7))**(-20/9)*(d**(-1/2))**28 assuming d is positive.
d**(-842/63)
Simplify (d*d/(d**(9/5)*d))/d**6*d/d**(-3/13)*d/d**9 assuming d is positive.
d**(-882/65)
Simplify (((d*((d**(-9/4)*d)/d)/d)/(d**(-2)/d))**(-4/5))**(-10) assuming d is positive.
d**6
Simplify (r*r/(r**10*r))/r**(-1)*r**9/(r*r**6*r*r) assuming r is positive.
r**(-8)
Simplify u**(-2/15)*u/u**20*u**8*(u/u**(-1/2))/u assuming u is positive.
u**(-319/30)
Simplify s*s*s/s**14*s*s/(s/(s*(s**13*s*s)/s))*s*s*(s**4)**(-43) assuming s is positive.
s**(-165)
Simplify ((g**(-2)*g*g*g)**(-2/17)*((g*g**2)/g*g)**(-9))**(-1/7) assuming g is positive.
g**(461/119)
Simplify (g/(g*g*g**5*g))/g*g*(g**12*g)/g*(g/(g**(2/3)*g))/(g**(-6)/g) assuming g is positive.
g**(34/3)
Simplify (r*r**(-3)*r)**16*r*((r/(r*r*r**8*r*r)*r)/r)/r*r**(-1) assuming r is positive.
r**(-28)
Simplify (x*x**(-11))/(x/x**(-17/2)*x*x*x*x)*x**(-23)/x*x*x**24/x assuming x is positive.
x**(-47/2)
Simplify (x**(-1/6))**(9/7)*(x/x**0)/x**(3/2) assuming x is positive.
x**(-5/7)
Simplify (b**(-4)*b/b**(1/10)*(b**(2/3)*b)**(-35))**(29/3) assuming b is positive.
b**(-53447/90)
Simplify ((n/((n*n*n**(-1/2))/n)*n)/n**6)/((n*n*n**8)/(n**(-1/4)/n)) assuming n is positive.
n**(-63/4)
Simplify (m/m**(-2/47)*m)/((m/m**31)/m)*(m**(-5/12)/m)**(-8) assuming m is positive.
m**(6257/141)
Simplify (q*q**(-7)/q)**(-1)/(q*q**(-1/15)*q*q**(-1/21)*q) assuming q is positive.
q**(144/35)
Simplify n**(-4)*n*n**17*n*n*(n*n*(n*n**(-11)/n)/n)/n**(-2/11) assuming n is positive.
n**(68/11)
Simplify i**13*i*i*i**(-2/9)*i*i*(i/(i/i**(-3/14)))/(i*i**11) assuming i is positive.
i**(575/126)
Simplify ((g**(-1/2))**(-9/7)*g/(g/(g*g**(-7)/g))*g*(g/(g*(g/((g/g**(1/7))/g))/g))/g*g)**(13/2) assuming g is positive.
g**(-143/4)
Simplify (y**(10/3)/y*y**(-29))**(-5) assuming y is positive.
y**(400/3)
Simplify t**(-3/11)*t**(-6/5)*(t*t**(-1/10))/(t/(t**(-2/7)*t)) assuming t is positive.
t**(-661/770)
Simplify (((l**(-1/32)/l)/l)/l**9)/((l*l*l/l**(-14))/(l/(l*(l/(l/l**(1/11))*l)/l)*l)) assuming l is positive.
l**(-9547/352)
Simplify (c*c/(c*c**(1/5))*c)**35*c**(5/4)/((c**(11/5)*c)/c) assuming c is positive.
c**(1241/20)
Simplify x**5/(x**(7/3)*x)*(x/(x**(-2/5)/x)*x)**(5/2) assuming x is positive.
x**(61/6)
Simplify j**1*j*j**(-2/9)*j/((j/(j*j**(-1/3)))/j*j)*j/j**(2/5)*j assuming j is positive.
j**(182/45)
Simplify h*h/(h/(h**14/h)*h*h)*h/(h/(h/h**12))*h**(-11)/(((h**(-4)*h)/h)/h) assuming h is positive.
h**(-5)
Simplify (k/(k*k**1)*k/(k/(k/(k/k**21))))**(5/16) assuming k is positive.
k**(25/4)
Simplify ((n**(-3/5))**(-1/4))**(-1/19) assuming n is positive.
n**(-3/380)
Simplify (j/j**(-2/41))/j**(-20)*(j**(2/19))**(-36) assuming j is positive.
j**(13445/779)
Simplify (k**(-33)*k**(-2/15))/((k**(-1/27)/k)/k**(-32)) assuming k is positive.
k**(-8653/135)
Simplify (((a*a/(a**(-2)*a))/a)/(((a/((a**(-3/4)/a)/a))/a)/a))/(a*a*a*a**(-6)*a)**(-2/47) assuming a is positive.
a**(31/188)
Simplify (q**(-3/2)/(q/q**(1/11))*q*q/(q/(q/(q/(q*q*q**(-2/3)/q))))*q/(q/((q*q**(-2/7))/q))*q)**29 assuming q is positive.
q**(-4843/462)
Simplify (o**(2/5)/o*o*o)**(-13)/((o**(-4/5)*o*o)/o**11) assuming o is positive.
o**(-42/5)
Simplify ((c*c/(c**(-31)/c)*c)/c**(2/7))**(1/4) assuming c is positive.
c**(243/28)
Simplify h/(h/(h*h*h**6/h))*h*h**(1/3)*h**(2/37)*h*h*h**(-4)*h*h*h*h assuming h is positive.
h**(1153/111)
Simplify ((v/v**(2/5))**(1/56)/(v*v*v/(v**(-3)*v)*v*v**(-5/4)*v*v))**41 assuming v is positive.
v**(-77367/280)
Simplify ((t**(-2/5)*t*t/(t*t**(2/5)*t))/(t**(-1))**(12/7))**(-10) assuming t is positive.
t**(-64/7)
Simplify ((f**(3/5))**(3/5))**(1/10) assuming f is positive.
f**(9/250)
Simplify (r**(1/4)/r)**(-2/13)*(r**(2/9))**(-2/107) assuming r is positive.
r**(2785/25038)
Simplify (b**(-2/5)*b*b**(-2/9))/(b*b**(-1/33))**(-2/11) assuming b is positive.
b**(3017/5445)
Simplify ((y**(2/5)/y)/y*y)**(3/7)/((y**(2/27)/y)/(y**(1/3)*y)) assuming y is positive.
y**(1892/945)
Simplify (d**(-1/13))**2/(d**(2/21))**(7/5) assuming d is positive.
d**(-56/195)
Simplify o*o/o**(-16)*o**(-2)*(o/(((o*o**(1/2))/o)/o))**(-23/2) assuming o is positive.
o**(-5/4)
Simplify (t**(-2/11)*t/(t/(t*(t**(-24)*t)/t)))/(t*t**(-1/2)*t*t**(-8)*t) assuming t is positive.
t**(-389/22)
Simplify (g*g**(-2/21)/g)/(g*g**8*g*g)*(((g*g/(g*g*g**(-2/35)*g))/g)/g*g)/(g/g**(2/25)) assuming g is positive.
g**(-7328/525)
Simplify ((i**(-11/6)*i*i)/(i/i**(-11)))/(i*i**1*i*i/(i/i**(2/57))) assuming i is positive.
i**(-565/38)
Simplify d**(2/9)*(d/d**(11/3))/d*d*((d*d*d/(d/d**(-11)))/d)/(d**(4/5)/d*d) assuming d is positive.
d**(-596/45)
Simplify (t**(-5/8)*t**8)/(((t*t**(9/5))/t)/t*t*t**(-23)) assuming t is positive.
t**(1143/40)
Simplify ((w**(-11)*w)/w*w*w**3/w)**(4/11) assuming w is positive.
w**(-32/11)
Simplify ((h/((h/(h**(-1/2)/h))/h))**20*(h*h**(-3))/((h/(h*h**(-2)*h))/h))**(-26) assuming h is positive.
h**312
Simplify ((r*r*r/(r/(r/(r/r**(-2/91))*r)))/r*r**(-2/21))**(-2/97) assuming r is positive.
r**(-1028/26481)
Simplify y**(-3)/y**(2/9)*(y*(y/y**(3/7))/y)**(-5/9) assuming y is positive.
y**(-223/63)
Simplify (w/(w*(w**7/w)/w*w))**20/(w**(-2/9))**(-3/10) assuming w is positive.
w**(-1801/15)
Simplify ((b*b**21*b)/b*b**(-9/4))/(b/b**(7/3))**(2/21) assuming b is positive.
b**(5009/252)
Simplify ((t/(t*t**(-2/13)))**(3/10)/(t**(2/13))**(3/4))**12 assuming t is positive.
t**(-54/65)
Simplify ((j/(j/(j/j**17)))**(-5/2))**(-5) assuming j is positive.
j**(-200)
Simplify (i**(8/3)*i**(3/23))/(i**16)**34 assumin
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*t) - 4*t**4 - t**4 + 3*t**4 as m + d*t**3 + o*t**4 + x*t**2 + l*t and give d.
0
Express 154*u - 242*u + 1 + 1 - 2 in the form o*u + w and give w.
0
Rearrange -3 + 171*x**2 + 3 + 8 - 169*x**2 - x + 1 to h + f*x**2 + o*x and give h.
9
Express -2*d**3 + d**2 + 11 - 8 - 4 - 12*d**4 + 7*d**4 as k + s*d**3 + t*d + i*d**2 + h*d**4 and give i.
1
Rearrange (2*l**2 - l**2 - 2*l**2)*(-274 - 14 - 31) to y*l + u*l**2 + o and give u.
319
Rearrange -4*p**3 + 7*p**3 - 7*p**2 + 0*p**3 + 6*p**2 - p + 32*p**2 to the form d*p + s + a*p**3 + z*p**2 and give d.
-1
Express (-g + 3*g + 0*g)*(14*g + 0*g + 3*g)*(4 - 3 + 6*g**2 + 2) in the form p*g + f + x*g**3 + m*g**2 + q*g**4 and give q.
204
Rearrange 234*g**2 - 590*g**2 + 290*g**2 + 1 to r*g + x + a*g**2 and give x.
1
Express -30*b**2 + 70*b**2 - 134*b**2 - 129*b**2 as q*b + u*b**2 + a and give u.
-223
Rearrange -250*c + 130*c + 291 + 125*c to the form a + x*c and give x.
5
Rearrange 0*z**2 + z**2 + 2*z**2 + (-2*z - 88 + 163 - 121)*(3*z + 0*z - 4*z) to p*z**2 + n*z + x and give p.
5
Rearrange (-2*d + 3 - 3)*(0*d + 0*d - 2*d) - 5*d**2 + 5*d**2 + 2*d**2 - 5 + 5 + 7*d**2 + 20*d**2 - 6*d**2 - d**2 to x*d**2 + t*d + n and give x.
26
Express -40 + 105 - 34 - 5*u**2 - 34 - 3*u as c*u**2 + g + q*u and give g.
-3
Express (-5 + 4 + 2)*(-7*z + 8823 - 17602 + 8617) as n*z + x and give x.
-162
Express y**2 + 9 - 3*y**2 - 10*y**2 - 3*y**2 in the form s*y**2 + x*y + t and give t.
9
Rearrange (27 + 4 + 16)*(-9*m - 12 + 12)*(-m - 3*m + 2*m) to c*m**2 + f + y*m and give c.
846
Rearrange -126 - 2*p + 4*p**3 + 125 + 50*p**4 + 0*p**3 - 4*p**3 to the form u + x*p + r*p**3 + k*p**2 + o*p**4 and give x.
-2
Express (3 + 2 - 7)*(8 - 8 - 12*j)*(-3*j - 4*j + 4*j) as d*j + m + b*j**2 and give b.
-72
Express (-2*x + 4 - 4)*(2 + 2 - 6)*(-37*x - 30 + 20*x + 19*x) as h*x + r*x**2 + m and give h.
-120
Rearrange (-4 + m + 0 + 5 + (0 + 0 - m)*(23 + 17 - 14))*(-2 + 1 + 0) to the form k + q*m and give q.
25
Rearrange -2*j**4 + 6*j**2 - 29*j**3 + 29*j**3 - 5*j**3 - 10*j to n + g*j**3 + k*j**2 + r*j + y*j**4 and give y.
-2
Rearrange -3*i**3 - 75*i - 22*i**4 + 40*i + 33*i + 4*i**3 to h*i**4 + l*i + w*i**2 + c + q*i**3 and give q.
1
Express -4*v + 2*v**4 + 3*v**3 - 5*v**3 - 8*v**3 + 0*v**4 + 8*v**3 in the form d*v**3 + j*v + p*v**4 + k + q*v**2 and give j.
-4
Express (u**2 + 6 - 6)*(-2 + 0 + 3)*(-22*u - 27 + 27) in the form t*u + p*u**2 + b*u**3 + d and give p.
0
Rearrange (-3*s + s + 0 - 1)*(-12299 + 2*s + 12455 - s) to n*s + c + f*s**2 and give n.
-313
Rearrange (-1 + 6 - 1)*(-70*c - 76*c - 59*c + 65*c) to i*c + z and give i.
-560
Rearrange -7882 + 7882 + 27*n**4 + (-n**3 + 0*n**3 + 5*n**3)*(n + n + 0*n) + n**4 + 3*n - 3*n to the form l*n**4 + y + b*n**2 + f*n**3 + r*n and give l.
36
Express ((4 - 4 - 2*x)*(3 - 2 + 0) + x - 2*x + 2*x)*(-11 - 77 - 28) as a + b*x and give b.
116
Rearrange (k - 2*k - 2*k)*(4 + 4 - 3) + (1 - 4 + 2)*(0*k - 8*k + 2*k) + (0 + 0 + 2*k)*(0 + 0 + 1) to the form d*k + j and give j.
0
Rearrange -9*w**3 - 14*w**2 - 3*w**3 - 4*w + 10*w**3 - 53*w**4 + 2*w + 18*w**2 to h*w**4 + x*w + g + d*w**3 + z*w**2 and give x.
-2
Rearrange 3*x**4 + 3*x**3 - 14 + 7 + 9 + 4*x - 3*x**3 + 2*x**3 to p*x**2 + c*x**3 + k*x**4 + d + n*x and give k.
3
Rearrange -19*n + 3598*n**3 - 1808*n**3 - 1798*n**3 to c*n**2 + s*n**3 + o*n + f and give o.
-19
Rearrange 6*h + 46*h**3 - 85*h**2 - 77*h**3 + 85*h**2 to q*h**2 + y + a*h + d*h**3 and give d.
-31
Express y**4 - y**2 - 4*y**3 + 7*y**3 + 4 - 4 - 1 in the form v*y**3 + z*y + u + o*y**2 + k*y**4 and give k.
1
Express -22*t**2 + 2 + 822*t**3 + 20*t**2 - 821*t**3 as b*t + q + h*t**2 + m*t**3 and give m.
1
Express 32*b**3 - 3*b**2 + 267*b + 277*b - 542*b as v*b + o + s*b**3 + j*b**2 and give s.
32
Rearrange (3*x + x - 2*x)*(-26 + 80 + 52)*(-4 - 1 + 3) to the form w*x + r and give r.
0
Rearrange (-4 + 3 - 3)*(-15*l - 10*l + 18*l) + 23*l + 15*l + 17*l - 20*l to o + i*l and give o.
0
Express -2206*w + 1108*w + 1105*w + 47 in the form x*w + q and give x.
7
Express (-s - 2*s**2 + s)*(123 + 507 + 139) in the form r + a*s + v*s**2 and give a.
0
Express (6 + 29*c**3 - 6)*(-38 - 3 - 39)*(-3 + 3 + 2) in the form d*c**3 + j*c**2 + w*c + m and give d.
-4640
Express 735*d**3 - 2*d - 10*d**4 + 3*d**2 - 737*d**3 - d**2 as a*d**3 + r*d + o*d**4 + w*d**2 + c and give o.
-10
Express 4*x + 0*x - x + (-1 + 1 - x)*(4 - 2 - 4) + 37*x - 74*x + 36*x - 2 + 0*x - x + 1 as l*x + q and give q.
-1
Express -85*k + 10*k - 2 + 123*k + 0 - 262*k as v + c*k and give c.
-214
Express 0*r + 3*r + 0*r - 2*r + r - r - 2*r + 0 + 0 + (-3 + 2 + 2)*(-6*r + 2*r + 3*r) - 83*r + 159*r - 78*r - 22 + r - 1 + 1 as q + g*r and give q.
-22
Rearrange -115 + 2*q + 59 - 2*q**2 + 53 + 2*q**3 to the form y + b*q + v*q**2 + l*q**3 and give y.
-3
Express (n - n - 3*n**2)*(-324*n - 559*n + 209*n)*(2 + 3 - 3) as l*n**3 + u*n + b*n**2 + r and give l.
4044
Rearrange 1592*n**2 + 0*n - 5*n - 1593*n**2 + 0*n**3 + 4*n**3 to the form s*n + f*n**3 + v + u*n**2 and give f.
4
Express 3*v**2 + 0*v**2 + 5*v**2 + (3*v - 2*v - 2*v)*(2*v + 2*v - 2*v) - 2*v**2 + 0*v**2 + 9*v**2 in the form m*v + x*v**2 + s and give x.
13
Rearrange (-2*o**2 - o**2 - 2*o**2)*(-537*o + 207*o + 280*o + 167*o) to the form g*o**3 + h*o + v*o**2 + b and give g.
-585
Express (x + 3075 - 2860 - 2*x)*(-2*x - 2*x + 2*x)*(x - 2*x**2 - 2*x**2 + 1 + 0*x**2) in the form j*x**4 + d + g*x + r*x**2 + k*x**3 and give g.
-430
Express k**3 + 19 + 43*k**2 + 15 - k - 42*k**2 as y*k**3 + u*k**2 + o*k + n and give n.
34
Express (-4 + 4 + 1)*(0*d + 4*d - 3*d)*(-19 - 4 - 7)*(0*d - 8*d + 2*d)*(1 - 2 - 1) in the form o*d + m + s*d**2 and give s.
-360
Express a**2 + a**2 + 0*a**2 - 5*a**4 + 3*a**3 + 5*a + 3*a**4 as m*a**3 + f*a**4 + s + y*a**2 + i*a and give y.
2
Rearrange -196*v**3 - 81*v**2 + 84*v**2 + 200*v**3 + 15*v**4 + 2*v to u + r*v**2 + n*v**4 + f*v**3 + z*v and give r.
3
Express -4012 + 4012 - 58*h in the form u + m*h and give m.
-58
Rearrange (-2 - 5 - 1)*(-2 - 3 + 4)*(-2 - 8*g - g + 3*g) to c*g + i and give c.
-48
Rearrange 3*i + 2*i**3 + 3934 - 3927 - 6*i + i**3 to the form w*i**2 + o + x*i**3 + a*i and give o.
7
Express ((0*t + 3*t - 2*t)*(0 - 1 + 0) + 4*t - 3*t - 4*t)*(-25*t - 99 - 34*t + 58*t) as p*t**2 + c*t + w and give p.
4
Rearrange -5 - 1 - 1078*p**2 + 3*p**3 + 2156*p**2 - 1080*p**2 to the form g + i*p + r*p**3 + s*p**2 and give r.
3
Express q - 4*q**3 + 10*q**3 - 69*q**4 + 73*q**4 - 5*q**2 in the form k*q + v*q**3 + y*q**2 + j*q**4 + b and give y.
-5
Rearrange (1 - r - 1)*((-r + 3*r - r)*(3*r - 2*r + 0*r) + (0 + 0 - 16*r)*(-r - 4*r + 3*r)) to s*r + z + q*r**3 + l*r**2 and give q.
-33
Rearrange 77*k - 145*k + 68*k - 2*k**3 + 157*k**2 + (-2*k + 2*k + k)*(-k**2 - 1 + 1) to a + x*k**3 + w*k**2 + s*k and give x.
-3
Express -10*y**4 + y**3 + 25*y**4 - 5 + 2*y**2 + 9 - 6 as z*y**2 + a*y**4 + m*y + u + k*y**3 and give u.
-2
Rearrange (-5187*y**3 + 1992*y**3 + 2236*y**3 + (0*y**2 + y**2 + y**2)*(4*y - 6*y + y))*(2 - 3 + 2) to v*y**3 + k + u*y**2 + b*y and give v.
-961
Rearrange -2*z**2 - 2*z**2 + 3*z**2 + (940*z - 938*z + 128 + 51)*(z + 2*z - 5*z) to y*z**2 + d*z + n and give d.
-358
Rearrange (0*w - w - w)*(7 - 3 - 1) - w - 1 + 1 - 8607*w + 8588*w + 3 - 5 to the form a + h*w and give h.
-26
Express (0 + 0 + 4)*(-p + 658 - 658)*(-5*p**3 + 2*p**3 + 7*p**3) in the form y*p**3 + l + z*p**2 + f*p + w*p**4 and give w.
-16
Rearrange 81*x + 0 - 400*x + 0 to the form m*x + i and give m.
-319
Rearrange (-320*i - 38824 + 38824)*(-4*i**3 + 3*i**3 - i**3) + 2*i**4 + 2*i**4 - 2*i**4 to u*i**3 + x + n*i + h*i**4 + k*i**2 and give h.
642
Express (3*w**2 + 4*w - 2*w**2 + 1 - 4)*(49 + 26 + 49)*(2 - 3 + 2) in the form n*w**2 + y + v*w and give y.
-372
Rearrange -12*i**2 + 32*i**2 - 24*i - 11*i**2 + 10 - 8*i**2 to t*i**2 + d*i + y and give y.
10
Rearrange (-4*t**2 + 4*t**2 + t**4)*(-199 - 27 + 36) to z*t + p*t**2 + r + u*t**3 + s*t**4 and give s.
-190
Express (28*h + 196*h + 33*h)*(14*h - 14*h - 42*h) as n + q*h + f*h**2 and give f.
-10794
Express (0*a - 4*a + 6*a)*(2 - 6*a - 2 + 4) + (1 + 1 - 1)*(-2*a + 2*a - 4*a)*(-1 - 2*a + 1) as q*a + f*a**2 + w and give f.
-4
Rearrange (-1 + 2*w + 1)*(0*w**3 - 2*w**3 - 2*w**3) + 0*w**4 + 2*w**4 - 3*w**4 to v*w**3 + b*w**4 + u*w + y*w**2 + m and give b.
-9
Rearrange (-n**3 - 1 + 1)*(41 + 301 - 92 +
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{
"pile_set_name": "DM Mathematics"
}
|
t m(o) = -9*o**3 - 2*o**2. Let p(w) = 69*w - 347. Let i be p(5). Let y(f) = -91*f**3 - 21*f**2. Determine i*y(b) + 21*m(b).
-7*b**3
Let y(m) = m**2 + 2*m + 22. Let o(q) = -q - 3. What is 14*o(r) + 2*y(r)?
2*r**2 - 10*r + 2
Let w(c) = -7*c**3 + 5*c**2 - 45*c + 30. Let z(j) = j**3 - j**2 - 5. What is -w(f) - 6*z(f)?
f**3 + f**2 + 45*f
Let h(o) = -5*o. Let j(x) = 3*x - 4. Let b be j(2). Let r(d) = 2 + d**2 - b + 3*d + d. What is -2*h(l) - 3*r(l)?
-3*l**2 - 2*l
Suppose 2*o = 10, 5*l + 0*l + 4*o = 35. Let f(h) = -5*h + 2 + l - 5. Let w(a) be the first derivative of 8*a**2 - 1. Calculate -10*f(k) - 3*w(k).
2*k
Let o(u) = -3*u + 1. Let x(y) = y**3 - y**2 - 6*y + 2. Let z(p) = -2*o(p) + x(p). Let m(f) = -f**3 + 5*f**2 + 1. Calculate m(t) + 4*z(t).
3*t**3 + t**2 + 1
Let t(s) be the first derivative of -s**3/3 - 5*s**2/2 - 5*s + 62. Let x(c) = -3*c**2 - 18*c - 18. Give 18*t(b) - 5*x(b).
-3*b**2
Let x(w) = -2*w**3 + w**2. Let u(a) = -11. Let l(k) = -4. Let n(h) = -3*l(h) + u(h). Calculate -2*n(c) - x(c).
2*c**3 - c**2 - 2
Let y(d) = 6*d**3 - 4*d**2 - 4*d + 4. Let g(x) = 7*x**3 - 5*x**2 - 5*x + 5. Let m(n) = 4*n**2 + 61*n + 20. Let j be m(-15). Give j*y(w) - 4*g(w).
2*w**3
Suppose 52*c + 114 = 33*c. Let j(g) = 259*g**2 + 77*g + 77. Let k(i) = 20*i**2 + 6*i + 6. Determine c*j(o) + 77*k(o).
-14*o**2
Suppose -12*j = -7*j - 265. Let i(z) = 30 - z - j + 24. Let s(a) = -a**2 + a + 1. Give i(h) - s(h).
h**2 - 2*h
Let c(n) = 3*n - 2. Suppose -3*w = -7*w - 36. Let a(h) = 76*h - 40. Let u(g) = -15*g + 8. Let f(y) = -2*a(y) - 11*u(y). Calculate w*c(j) + 2*f(j).
-j + 2
Suppose 13 = -2*o - 13. Let m = o + 12. Let l(x) = 3*x**3 - x**2 + x + 1. Let y(s) = -s**3 + s**2 - s - 1. What is m*y(n) - l(n)?
-2*n**3
Let i(y) = 2*y. Let c(k) = 2*k**2 + 9*k + 27. Give c(h) - 4*i(h).
2*h**2 + h + 27
Let m(a) = -127687*a + 1221. Let y(n) = 629*n - 6. Give -2*m(i) - 407*y(i).
-629*i
Let i be -1 - (-5 + (5 - 3)). Let s(l) = -2*l + 2*l + 4*l - l**2 + 5*l**3 + i + 2. Let x(u) = -u**3 - u - 1. Let j = -1 + 2. Calculate j*s(o) + 4*x(o).
o**3 - o**2
Suppose -p + 2 = -2*p. Let f(v) = -6 + v - 2*v**2 + 5*v - 6*v. Let n(t) = t**2 + 3. Give p*f(k) - 5*n(k).
-k**2 - 3
Let m(i) = 460*i**3 - 575*i + 575. Let u(t) = -t**3 + t - 1. Calculate -m(o) - 575*u(o).
115*o**3
Let n(q) = -3*q**2 - q + 10. Suppose 31*w + 107 + 110 = 0. Let o(d) = 2*d**2 + d - 7. Calculate w*o(y) - 5*n(y).
y**2 - 2*y - 1
Let f(w) = -2*w**2 + 5. Let u(a) = a**2 - 1. Suppose -4*z = p + 14, -2*p - 11 + 7 = 2*z. Let n be 2*-5*(p - 6/4). What is n*u(b) - f(b)?
-3*b**2
Let b(y) = -2*y - 4. Let k = -11 - -6. Let w(r) = -3*r - 7. Let t be (30/(-35))/((-2)/7)*1. Give k*b(s) + t*w(s).
s - 1
Let r(q) = -31*q - 2. Let k(u) = -6*u. Calculate -4*k(a) + r(a).
-7*a - 2
Let x(s) = -s**3 - 2*s + 1. Let q(p) = -2*p - 4. Let h be q(-3). Let v(m) = 2*m + 0*m**3 - 6 + 0*m**2 + 5*m**3 - 2*m + 11*m - m**2. Calculate h*v(t) + 11*x(t).
-t**3 - 2*t**2 - 1
Let w(d) = -d**3 - 2*d**2 + 28*d - 2. Let b(k) = 3*k**3 + 7*k**2 - 86*k + 7. What is -6*b(x) - 21*w(x)?
3*x**3 - 72*x
Let m(t) = 2*t**2 + 2*t + 2. Let h be (-12)/(-2)*3/9. Let b(l) = l**2 + 16*l. Let q(i) = -3*i**2 + 11*i - 5. Let a(f) = b(f) - q(f). Calculate h*a(v) - 5*m(v).
-2*v**2
Let d(h) = -h - 1. Let p(j) = 0*j - 3*j - 10 + 7*j + 23 - 15. Calculate -2*d(t) + p(t).
6*t
Let b(u) = u**2 - u. Let c(t) = t**3 - 9*t**2 + 9*t - 1. Let s = -1467 + 1465. Give s*c(k) - 18*b(k).
-2*k**3 + 2
Let o(v) = -4 + 0 - 3*v**2 + 4. Let m(s) = -6*s**2. Let g be 4*7/((-21)/(-12)). Let w = 7 - g. Give w*o(l) + 4*m(l).
3*l**2
Suppose 3*s - 7*s + 40 = 0. Let n(w) = -s*w + 6 + 3*w + 5*w. Let c(x) = -1. What is 4*c(d) + n(d)?
-2*d + 2
Let n(a) = -7*a**3 + 9*a - 35. Let o(c) = 6*c**3 - 7*c + 36. Give 3*n(t) + 4*o(t).
3*t**3 - t + 39
Let v(q) = 13*q - 5. Let c be -31 - (72/56 - 4/14). Let p(y) = 84*y - 32. Determine c*v(i) + 5*p(i).
4*i
Let s(m) be the third derivative of m**6/40 - m**4/8 - m**3/3 + 74*m**2. Let c(n) = 4*n**3 + n**2 - 4*n - 3. Determine 2*c(y) - 3*s(y).
-y**3 + 2*y**2 + y
Let l(o) = 236*o**3 - 14*o**2 - 14*o - 14. Let z(u) = -79*u**3 + 5*u**2 + 5*u + 5. Determine -5*l(g) - 14*z(g).
-74*g**3
Let q(g) = -54*g - 4. Let v(z) = -164*z - 13. Calculate 14*q(u) - 4*v(u).
-100*u - 4
Let q(y) = 105*y**3 + 3*y**2 - 3*y + 4. Let f(w) = -w**3 + w**2 - w + 2. Give 3*f(z) - q(z).
-108*z**3 + 2
Let o(j) = -79*j**3 + 2*j**2 + 1. Let m(x) = -237*x**3 + 7*x**2 + 3. What is 2*m(l) - 7*o(l)?
79*l**3 - 1
Let z(o) = 32*o - 65. Let g be z(2). Let n(d) = 6*d**3 + 9*d. Let k(r) = -2*r - 1. Let y be k(4). Let t(m) = -m**3 - m. What is g*n(a) + y*t(a)?
3*a**3
Let u(p) = p**2 - 2*p**2 + 6*p**2 - 4*p**2 + 5*p - 6. Let i(n) = n**2 + 4*n - 5. What is -4*i(d) + 3*u(d)?
-d**2 - d + 2
Let q(z) = -172*z - 2. Let b(v) = -85*v. Give 5*b(p) - 2*q(p).
-81*p + 4
Let w(c) = -2*c**2 + c - 5. Suppose 5*s + 9 = h + s, 3*s = 3*h. Let q(j) = 2*j**2 - j + 4. Calculate h*q(g) - 2*w(g).
-2*g**2 + g - 2
Let f = 838 + -839. Let c(v) = v**2 - v + 1. Let r(p) = 3*p**2 - 7*p + 3. Calculate f*r(s) + 5*c(s).
2*s**2 + 2*s + 2
Let q(y) be the second derivative of -y**4/3 + y**3/3 - y**2/2 - 5*y + 28. Let v(t) = -4*t**2 + t - 1. Give 2*q(o) - 3*v(o).
4*o**2 + o + 1
Let k(v) = 3*v - 8*v + 2*v + v**3 + 3. Let c(x) = -x**3 - x**2 + 7*x - 7. Let b(h) = -h**3 + h**2. Let o(n) = b(n) + c(n). What is 5*k(l) + 2*o(l)?
l**3 - l + 1
Let s be 108 + 0 - (17 + -14). Suppose -a + s = 4*a. Let f(i) = 36*i - 21. Let x(j) = -7*j + 4. Give a*x(w) + 4*f(w).
-3*w
Let a(p) = 1. Let u(c) = -2*c**2 - 3*c + 3. Let t be (5/15*-3)/1. Suppose -f = k - 4, 5*f + 0*k = k + 20. Determine f*a(v) + t*u(v).
2*v**2 + 3*v + 1
Let k(t) = 7*t**3 + 15*t**2 + 5*t + 117. Let d(w) = -3*w**3 - 6*w**2 - 2*w - 59. Give 5*d(x) + 2*k(x).
-x**3 - 61
Let w = -640 + 629. Let z(q) = -4*q**2 + 1. Let h(g) = -9*g**2 + 2. Determine w*z(j) + 6*h(j).
-10*j**2 + 1
Let y(g) = -9*g - 5. Let v be (-25)/(-5) + (-5 + 15 - 13). Let f(t) = -4*t - 3. Determine v*y(c) - 5*f(c).
2*c + 5
Let m be (-1)/((-2)/(-22))*1. Let t = 6 + m. Let l = -11 + 18. Let f(k) = 4*k**2 - 9*k + 5. Let v(z) = 6*z**2 - 13*z + 7. Give l*f(o) + t*v(o).
-2*o**2 + 2*o
Let n(m) = 6*m**2 - 3*m - 6. Let d(h) = -23*h**2 + 2*h + 11. Let b(o) = 22*o**2 - 3*o - 12. Let l(i) = 6*b(i) + 5*d(i). Determine 3*l(x) - 8*n(x).
3*x**2 - 3
Let s(i) = -26*i - 16. Let z(a) = 8*a + 5. Determine -2*s(j) - 7*z(j).
-4*j - 3
Let o(y) = -5*y**2 - 41*y. Let d(h) = -14*h**2 - 122*h. Give -4*d(p) + 11*o(p).
p**2 + 37*p
Let q(a) = -11*a**3 + 11*a - 8. Let t(d) = -10*d**3 + 10*d - 7. Calculate -6*q(l) + 7*t(l).
-4*l**3 + 4*l - 1
Let p(q) = 2*q**3 - q + 9. Let b(g) = -2*g**3 + g**2 + g - 8. Calculate -4*b(m) - 3*p(m).
2*m**3 - 4*m**2 - m + 5
Let m(i) be the second derivative of -3*i**5/20 + 11*i**4/12 - 3*i**2 + 2*i - 201. Let u(s) = -s**3 + 4*s**2 - 2. What is 6*m(k) - 17*u(k)?
-k**3 - 2*k**2 - 2
Let q(j) = 2*j + 1. Suppose -4*o + 3*o - w - 3 = 0, -3*w - 7 = 4*o. Suppose o = 5*m - 18. Let l = -8 + m. Let h(k) = 2*k + 1. Give l*q(t) + 5*h(t).
2*t + 1
Let i(q) = 3*q**2 + q + 2. Let x(s) = -s - 1. Let m be (-4)/((-24)/2)*(6 + 3). Suppose -2 = m*a + 4. Calculate a*x(l) - i(l).
-3*l**2 + l
Let k be (2 - (3 + 2))*1. Let q(n) = 0*n**3 + 34*n - 4*n**3 - 2*n**3 - 41*n - 5 - 5*n**3. Let i(t) = 6*t**3 + 4*t + 3. Calculate k*q(d) - 5*i(d).
3*d**3 + d
Let q(z) = 120*z - 14. Let l(w) = -121*w + 11. Calculate -5*l(d) - 4*q(d).
125*d + 1
Let g(k) be the third derivative of -4*k**5/15 + k**4/6 - 2*k**3/3 - 581*k**2. Let v(x) = -x**2 + x - 1. What is -g(r) + 4*v(r)?
12*r**2
Let o(k) = -54*k - 65. Let z be o(-1). Let b(i) = -5*i - 2. Let g be (2/(-3))/((-2)/(-6)). Let f(r) = -r**2 + 26*r + 11. Determine g*f(l) + z*b(l).
2*l**2 + 3*l
Let v(s) = s - 1. Let q(m) = -45*m + 16. Let p(a) = -20*a + 8. Let f(g) = -7*p(g) + 3*q(g). Determine f(t) - 3*v(t).
2*t - 5
Let g(a) = 3*a**2. Let h(c) = 6*c**2. Let n(v) = 5*v - 45. Let b be n(6). Give b*g(u) + 6*h(u).
-9*u**2
Let q(m) = 198*m**3 + 5*m**2. Let i(u) = -57616*u**3 - 1456*u**2. Calculate 5*i(y) + 1456*q(y).
208*y**3
Let j(v) = -3 - 21*v - 29*v + 53*v. Let b(c) = -8*c + 8. What is -4*b(q) - 11*j(q)?
-q + 1
Let h(c) = -29*c + 1. Suppose 5*v + 5*b - 104 = 3*b, -4*v + 3*b = -97. Let y(n) = 6*n + 3*n - v*n + 6*n. Determine -2*h(o) + 9*y(o).
-5*o - 2
Let s be 114
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{
"pile_set_name": "DM Mathematics"
}
|
ve of 0*k**3 + 0 - 2*k + 1/126*k**7 + 0*k**2 - 1/30*k**6 + 0*k**5 + 1/9*k**4. Factor y(x).
x**2*(x - 2)**2*(x + 1)/3
Let y(k) be the first derivative of -k**5/25 + k**4/20 + 3. Determine f, given that y(f) = 0.
0, 1
Factor 9/5*y**4 + 9/5*y**3 + 0*y + 3/5*y**5 + 0 + 3/5*y**2.
3*y**2*(y + 1)**3/5
Let j(v) = -v**2 - v + 1. Let u(n) = 5*n**2 + 5*n - 2. Let s = -16 - -18. Let c(y) = s*j(y) + u(y). Factor c(a).
3*a*(a + 1)
Let f be 26/8 + (-7)/28. Let -f*u**2 + 9*u + 6 + 4*u**2 - 3*u**2 + 5*u**2 = 0. Calculate u.
-2, -1
Let u be (((-14)/(-1))/(-2))/(-1). Let d be u/14 + (-77)/(-6). Let 16/3*v**3 + 17/3*v - 2/3 - d*v**2 = 0. Calculate v.
1/4, 2
Let u(a) be the second derivative of 0*a**2 + 1/135*a**6 - 6*a + 0 + 0*a**4 + 1/90*a**5 + 0*a**3. Factor u(p).
2*p**3*(p + 1)/9
Solve -109*y + 59*y + y**2 + 54*y = 0.
-4, 0
Let r be 6/(-4)*12/(-54). Let j(c) be the first derivative of -r*c**3 - 1/4*c**4 + 1/10*c**5 + 1/4*c**2 + 1/2*c + 1/12*c**6 - 2. Factor j(s).
(s - 1)**2*(s + 1)**3/2
Factor 15*q - 3*q - 5*q**2 + q**2.
-4*q*(q - 3)
Let u = -4 + 6. Let t(o) be the second derivative of 1/6*o**u - 1/126*o**7 + 0 - 5/18*o**3 - 1/6*o**5 + o + 5/18*o**4 + 1/18*o**6. Factor t(c).
-(c - 1)**5/3
Let i(m) be the first derivative of m**4/22 + 2*m**3/33 - 2*m**2/11 - 3. Factor i(l).
2*l*(l - 1)*(l + 2)/11
Let z = -1 + 5. Factor -3*t**3 + 5*t**3 + 2*t**z + t**4 - 3*t**2 - 6*t + 4*t**3.
3*t*(t - 1)*(t + 1)*(t + 2)
Let t(a) = 5*a**2 - 24*a + 39. Let g(x) = 10*x**2 - 47*x + 77. Let w(y) = 6*g(y) - 13*t(y). Suppose w(f) = 0. Calculate f.
3
Let y(z) be the first derivative of z**3/3 - z**2/2 - 2*z - 9. Factor y(x).
(x - 2)*(x + 1)
Let n(m) be the third derivative of -m**5/150 - 3*m**2. Factor n(t).
-2*t**2/5
Let f(o) = 2*o**2 - 3*o. Let s be f(2). Find d such that 0 + 0*d + 2/3*d**4 - 4/3*d**3 + 2/3*d**s = 0.
0, 1
Let f(n) be the third derivative of 0*n**3 - 2/5*n**4 + 8*n**2 + 0*n - 1/200*n**6 + 0 + 2/25*n**5. Factor f(y).
-3*y*(y - 4)**2/5
Suppose 1/2*q**2 + 0*q - 1/2 = 0. Calculate q.
-1, 1
Let m(u) = u**3 + u. Let v(y) = -12*y**3 - 10*y. Suppose 0 = z + 4*z + 10. Let o be (1 - -1)/(z/(-2)). Let j(k) = o*v(k) + 22*m(k). Factor j(x).
-2*x*(x - 1)*(x + 1)
Let b(u) be the third derivative of u**6/360 - u**5/45 + 5*u**4/72 - u**3/9 + u**2. What is q in b(q) = 0?
1, 2
Let u be (-11)/(-4) - (-6)/24. Let a(s) be the first derivative of -1/6*s**4 - 1/3*s + 2 - 2/3*s**2 - 5/9*s**u. Find b, given that a(b) = 0.
-1, -1/2
Let o(s) be the third derivative of s**6/180 - s**5/30 + s**4/12 + s**3/2 + 4*s**2. Let k(h) be the first derivative of o(h). Determine r so that k(r) = 0.
1
Factor 10*z**2 + 5*z**4 - 5*z**3 - 9*z**2 - z**4.
z**2*(z - 1)*(4*z - 1)
Let r(t) = -t - 6. Let u(w) = 2*w - 2. Let m be u(-3). Let v be r(m). Factor -4 - 10*c - 2*c**3 - 3*c**2 + 0 - 5*c**v.
-2*(c + 1)**2*(c + 2)
Let s(g) = -g**3 - g**2 + g - 1. Let w(o) = 7*o**3 - o**2 - 7*o + 19. Let y(c) = -18*s(c) - 2*w(c). Factor y(u).
4*(u - 1)*(u + 1)*(u + 5)
Suppose 0 = 2*v + 2*v. Suppose -5 + v = -x. Solve -4*b**2 + x*b**4 - 4*b**4 - 2 - 3*b**4 + 8*b**2 = 0.
-1, 1
Factor -t**4 + 4*t - 5*t**4 - 4*t**3 + 4*t**4 + 2 + 0*t**4.
-2*(t - 1)*(t + 1)**3
Factor 5*i + 0 - 5/2*i**2.
-5*i*(i - 2)/2
Factor 3*f**4 - 7*f**2 - 7*f**2 + 11*f**2 - 3*f + 3*f**3.
3*f*(f - 1)*(f + 1)**2
Let y(o) be the first derivative of o**3/3 + o**2/3 - o/3 + 2. Factor y(r).
(r + 1)*(3*r - 1)/3
Let t(s) = -4*s**5 - 2*s**2 - 2*s - 2. Let g(y) = 9*y**5 + y**4 + y**3 + 4*y**2 + 5*y + 5. Let q(z) = 2*g(z) + 5*t(z). Solve q(i) = 0 for i.
-1, 0, 1
Let l be (-3 - -3)/2*1. Let r be (-16)/(-168)*(-28)/(-6). Factor 2/9*u**2 + 0 - r*u**3 + 2/9*u**4 + l*u.
2*u**2*(u - 1)**2/9
Let b be (-4 - 24/(-6))/(3 + -1). Suppose -1/3*o**3 + 1/3*o**2 + 0*o + b = 0. What is o?
0, 1
Let k(p) be the third derivative of p**6/90 - p**5/45 - p**4/18 + 2*p**3/9 + 5*p**2. Find t, given that k(t) = 0.
-1, 1
Let i(x) = -2*x**5 - 2*x**4 - 22*x**3 - 22*x**2 - 6. Let p(q) = q**5 + 3*q**4 + 23*q**3 + 21*q**2 + 5. Let c(t) = 5*i(t) + 6*p(t). Find m, given that c(m) = 0.
-1, 0, 4
Let f(t) be the third derivative of t**2 - 1/120*t**5 - 1/720*t**6 - 1/3*t**3 - 1/48*t**4 + 0 + 0*t. Let v(y) be the first derivative of f(y). Factor v(i).
-(i + 1)**2/2
Suppose -78 = -12*m - m. Factor -m*u**3 + 9/2*u + 3/2 + 0*u**2.
-3*(u - 1)*(2*u + 1)**2/2
Let i(f) = f**4 - f**3 - f**2 - f - 1. Let k(r) = 3*r**5 + 3*r + 3. Let x(z) = 3*i(z) + k(z). Factor x(d).
3*d**2*(d - 1)*(d + 1)**2
Suppose -106*z + 35*z + 213 = 0. What is i in 2/5*i + 8/5 + 6/5*i**4 - 14/5*i**2 - 2/5*i**z = 0?
-1, 1, 4/3
Let l = 11 - 9. Let g(b) be the second derivative of -l*b + 0*b**2 + 1/30*b**4 - 1/50*b**5 + 0*b**3 + 0. Factor g(r).
-2*r**2*(r - 1)/5
Let f(m) be the first derivative of -m**6/1980 - m**5/330 - m**4/132 - 5*m**3/3 - 5. Let i(l) be the third derivative of f(l). Factor i(t).
-2*(t + 1)**2/11
Let q(p) be the first derivative of p**5/80 - p**4/12 + 5*p**3/24 - p**2/4 - 2*p - 3. Let a(l) be the first derivative of q(l). Suppose a(r) = 0. What is r?
1, 2
Let r = -189 + 191. Determine f, given that 9/2 - 6*f + 3/2*f**r = 0.
1, 3
Let j(k) be the third derivative of k**6/480 + 7*k**5/240 + k**4/12 - 2*k**3/3 - 59*k**2. Factor j(g).
(g - 1)*(g + 4)**2/4
Let c(d) be the second derivative of -1/15*d**4 + 0 - 1/15*d**3 + 0*d**2 - 1/50*d**5 + 3*d. Factor c(b).
-2*b*(b + 1)**2/5
Let v(l) = -l**2 + 2*l + 1. Let u(t) = -t**2 + 3*t + 1. Let a(j) = 2*u(j) - 3*v(j). Solve a(r) = 0.
-1, 1
Let c be (1/3)/((-3)/(-36)). Let a(m) = c*m - 3 - 4*m**3 - 2*m**2 + 7 + 1 + 6*m**2. Let u(o) = -o**3 + 1. Let w(z) = -a(z) + 5*u(z). What is h in w(h) = 0?
-2, 0
Factor -3*q + 1 + 3*q**2 + 3*q**3 - 3*q**4 - 1 + 0.
-3*q*(q - 1)**2*(q + 1)
Suppose 34*r - 12 = 30*r. Determine u, given that 2*u + 1/2*u**r + 2*u**2 + 0 = 0.
-2, 0
Let t(j) = -j**3 - 6*j**2 - j - 3. Let h be t(-6). What is r in 1/3*r**2 + 0 - 1/3*r**5 - r**h + r**4 + 0*r = 0?
0, 1
Let y = -788 + 790. Factor 0 + 0*j + 0*j**y + 2/5*j**3 - 1/5*j**4.
-j**3*(j - 2)/5
Let r(k) = 2*k**3 + 4*k**2 - 2*k - 4. Let b be r(-2). Find m, given that 2/7*m + 0 - 4/7*m**2 + 4/7*m**4 + b*m**3 - 2/7*m**5 = 0.
-1, 0, 1
Suppose 5*m + 3*i - 143 + 56 = 0, -1 = m - 4*i. Suppose -m = -9*l + 4*l. Suppose -1/4*j**4 + 0 - 1/2*j**l - 1/4*j**2 + 0*j = 0. Calculate j.
-1, 0
Let v(l) = -12*l**3 + 2*l - 10. Let a(u) = 6*u**3 + 1. Let s(z) = -z**3. Let p(m) = a(m) + 5*s(m). Let j(r) = 10*p(r) + v(r). What is d in j(d) = 0?
-1, 0, 1
Factor -5 - 7*i + 4*i**2 + 16*i - 7*i**2 - 1.
-3*(i - 2)*(i - 1)
Let j(z) be the first derivative of 2*z**6/27 - 2*z**5/15 + z**4/18 + 9. Factor j(y).
2*y**3*(y - 1)*(2*y - 1)/9
Let i(v) be the third derivative of -1/3*v**3 + 1/60*v**5 - 1/24*v**4 + 0*v - 4*v**2 + 0. Factor i(n).
(n - 2)*(n + 1)
Let d(w) be the first derivative of -w**6/600 + w**5/100 - w**4/40 + w**3/3 - 4. Let l(g) be the third derivative of d(g). Suppose l(a) = 0. What is a?
1
Let h(n) be the third derivative of -n**9/37800 + n**8/8400 - n**7/6300 + n**4/6 + 3*n**2. Let c(i) be the second derivative of h(i). Factor c(l).
-2*l**2*(l - 1)**2/5
Let j(g) be the second derivative of -1/3*g**3 + 0 + 0*g**2 + 1/5*g**5 + 1/6*g**4 - g. Factor j(h).
2*h*(h + 1)*(2*h - 1)
Suppose 4*g - 2*g + 4 = 0. Let b be (10/(-4))/(g - 0). Suppose 0 - 3/4*p**4 - 1/4*p + b*p**3 - p**5 + 3/4*p**2 = 0. Calculate p.
-1, 0, 1/4, 1
Let h(x) be the first derivative of 3*x**4/20 - x**3 + 9*x**2/10 + 27*x/5 - 12. Factor h(g).
3*(g - 3)**2*(g + 1)/5
Factor 9/4*n - 1 - 3/2*n**2 + 1/4*n**3.
(n - 4)*(n - 1)**2/4
Let h(g) be the first derivative of -g**8/84 - 4*g**7/105 - g**6/30 - g**2 - 2. Let m(o) be the second derivative of h(o). Factor m(l).
-4*l**3*(l + 1)**2
Factor 0 + 1/4*v**3 - 1/2*v - 1/4*v**2.
v*(v - 2)*(v + 1)/4
Let v(o) be the third derivative of -o**7/210 - 6*o**2. Factor v(p).
-p**4
Let o(k) be the second derivative of k**9/68040 + k**8/10080 + k**7/3780 + k**6/3240 - 5*k**4/12 + 6*k. Let p(c) be the third derivative of o(c). Factor p(h).
2*h*(h + 1)**3/9
Let u(n) = -n**2 - 40*n + 200. Let v(j) = 6*j**2 + 200*j - 1000. Let x(g) = 16*u(g) + 3*v(g). Factor x(i).
2*(i - 10)**2
Let t(y) = 5*y**5 + 12*y**4 - 17*y**3 - 17*y**2 + 5*y + 12. Let d(u) = -3*u**5 - 8*u**4 + 11*u**3 + 11*u**2 - 3*u - 8. Let m(z) = -7*d(z) - 5*t(z). Factor m(w).
-4*(w - 1)**2*(w + 1)**3
L
|
{
"pile_set_name": "DM Mathematics"
}
|
4/5) assuming d is positive.
d**(288/115)
Simplify (c**6*(c/(c**(3/4)*c*c*c))/c*(c**5/c)/(c**(2/13)/c))**(-5) assuming c is positive.
c**(-1845/52)
Simplify (o/o**(-3/2))**15/((o**(3/2)*o)/((o/o**6)/o)) assuming o is positive.
o**29
Simplify ((s**(3/8)*s/(s**(1/7)/s))**(2/27))**(-26/5) assuming s is positive.
s**(-325/378)
Simplify x**(-9)/(x**(-22/3)/x)*x**12/(x*x*x**(2/7)) assuming x is positive.
x**(190/21)
Simplify ((d**(25/2))**(1/6))**(5/3) assuming d is positive.
d**(125/36)
Simplify (((i/(i*i*i/(i/(i/(i*((i*i**(-2))/i*i*i)/i*i))*i))*i)/i)/i)**(2/63)*(i*i*(i*i**(2/9))/i)/i**(11/4) assuming i is positive.
i**(-47/84)
Simplify ((x**(6/11)*x)/(x/x**(7/5)))/(x**5/x**(7/2)) assuming x is positive.
x**(49/110)
Simplify (s**(-33)/(s*s**(-1/48)))/(s**(1/2)/s*s/(s**(-11)*s)) assuming s is positive.
s**(-2135/48)
Simplify f*f**(-1/48)*f**15*(f*f**(-17))/((f*f*f**(4/3)*f)/f) assuming f is positive.
f**(-161/48)
Simplify (t/t**(-5))**(-32)/(t/((t**13*t)/t)*t/t**(3/4)) assuming t is positive.
t**(-721/4)
Simplify ((d*d**(-1/4))**36*(d**6/d)/(d/(d*d/d**5*d)))**(1/24) assuming d is positive.
d**(29/24)
Simplify (b**(-2/21)*b**(-1/3))/(b**(-1/3)/b**(1/16)) assuming b is positive.
b**(-11/336)
Simplify ((t*t**(-4))/t)**(4/11)/(t/t**14*t/t**9) assuming t is positive.
t**(215/11)
Simplify (h**3*h**(2/15)*h/(h/(h/(h/(h**(-4/5)/h))))*h**(2/9))**(-2/5) assuming h is positive.
h**(-28/45)
Simplify (p**6/p*p/p**(-4)*((((p/((p/(p**(2/7)*p))/p*p))/p)/p)/p)/(p*p**(-2/15)*p))**(-1/12) assuming p is positive.
p**(-337/630)
Simplify (y**(-17/5)/(y/(y/y**(3/10))*y))**(-33) assuming y is positive.
y**(1551/10)
Simplify (m**(-11)*m**(-2/21))/(m**(2/3))**(4/21) assuming m is positive.
m**(-101/9)
Simplify q**(-2)/(q/(q**(1/8)/q))*(q/(q*q**(-16)/q*q))/(q**(-3/10)/q) assuming q is positive.
q**(537/40)
Simplify d**(3/7)/d**(-1/11)*(d**(-1/3)/d)**40 assuming d is positive.
d**(-12200/231)
Simplify (g**(2/21)*g)/g**3*g**11*g**(-12/7) assuming g is positive.
g**(155/21)
Simplify (w**4*w)**(2/37)/(w**(3/7)/w**30) assuming w is positive.
w**(7729/259)
Simplify ((k/k**(1/5))/k*k)**(36/5)*k**(8/7)/k*k*(k**(-3)/k)/k assuming k is positive.
k**(333/175)
Simplify ((z**(1/3)*z*z/((z/z**6)/z))/(z**(-4)*z*z*z/z**(2/7)))**(-50) assuming z is positive.
z**(-10100/21)
Simplify (((j**(-2/7)/j)/j)**(1/55))**(2/29) assuming j is positive.
j**(-32/11165)
Simplify (r**(-1/7)/r)**(5/2)/(r/(r**19*r)*r**19) assuming r is positive.
r**(-20/7)
Simplify ((((m**(-1/12)*m)/m)/(m/m**(-8)*m))/((m*m/((m**(-5)/m*m)/m)*m)/(m/(m**(2/5)*m))))**(-2/17) assuming m is positive.
m**(1169/510)
Simplify (n**(-2/7))**(-1/19)/(n/n**(-2/27)*n)**(3/37) assuming n is positive.
n**(-6782/44289)
Simplify ((k*(k*k**14)/k)**(-9))**(-2) assuming k is positive.
k**270
Simplify (q**(-4/3)/q)**(8/5)*(q**0*q)/q*(q/(q/(q*q**(-15)/q)))/q assuming q is positive.
q**(-296/15)
Simplify (a**(-10)/a*a**(1/2))/(a/(a/a**(-1)*a))**(1/30) assuming a is positive.
a**(-313/30)
Simplify (b*b**(-2/21)*b)/b*b**12*(b*b**17)/(b**15*b) assuming b is positive.
b**(313/21)
Simplify (((h/(h**(-1)/h))**31)**(-2/3))**(-5/6) assuming h is positive.
h**(155/3)
Simplify (((w/w**(-10))/(w*w**8*w))**(-22/7))**30 assuming w is positive.
w**(-660/7)
Simplify (i**(7/6))**11*i**27/(i/(i/(i/i**23))) assuming i is positive.
i**(371/6)
Simplify ((q/(q/(q*q**(8/3))))/q*q/(q*q**17))/(((q**(11/3)*q)/q)/q**(4/5)) assuming q is positive.
q**(-86/5)
Simplify (((l/(l*l**3)*l)**20)**(-2/7))**(-21) assuming l is positive.
l**(-240)
Simplify (f**33*f*f**(32/3)*f)/((f**(-1)/f)/(f*(f/(f/(f*f*f**34)))/f)) assuming f is positive.
f**(251/3)
Simplify (u/(u*u*u**(-36))*u*(((u*u*u**(4/5)/u)/u)/u)/u)/((u**22*u)/(u/u**(-1/3))) assuming u is positive.
u**(197/15)
Simplify (y**(-6)*y)**(1/42)*y**(-19/3)*y/(y*y*y**(-12)) assuming y is positive.
y**(191/42)
Simplify n**27/(n**27*n)*(n*n/(n*n/(n*n/(n/(n/n**(1/5)*n*n*n)))))/(n**(-1/6)*n) assuming n is positive.
n**(89/30)
Simplify (h/(h**10/h))**(-7/11)*h**19/(h**(-23)/h) assuming h is positive.
h**(529/11)
Simplify (l**(-10)*l*l*l*(l**(-20)*l)/l)/(l/((l/(l*l/l**8))/l))**(5/14) assuming l is positive.
l**(-353/14)
Simplify ((t*t*t/(t*t/t**(-2/33)*t*t*t))/(t/(t**(-2)/t)))/(t**(2/5)/(t*t/(t*t/t**(-6/11))*t)) assuming t is positive.
t**(-991/165)
Simplify (s/s**(-11/4))/(s*s**(-1)*s*s)*(s**(-1/6))**(-23) assuming s is positive.
s**(67/12)
Simplify j**(-13)/(j*j**(-23))*j/(j*j*j*j/(j*j/j**(2/7)*j)*j)*j*j**(-1/10) assuming j is positive.
j**(603/70)
Simplify a**10/(a*a*a**(3/10)*a)*a/a**(-2/7)*a*a/a**(-15)*a assuming a is positive.
a**(1819/70)
Simplify (((t**(-1)/t)**(-40))**(1/7))**(-2/111) assuming t is positive.
t**(-160/777)
Simplify ((o/(o*(o/(o*o*o**(-1/6)*o))/o)*o)/((o/(o/o**(2/5)))/o)*o**(4/3)*o*o*(o*o/o**(1/9))/o*o)**(-19) assuming o is positive.
o**(-16511/90)
Simplify (d**(-7)*d)**(-48)*(d**(-2/5))**(-47) assuming d is positive.
d**(1534/5)
Simplify (p*p**3/p)**(-45)/(p**(-2)*p**(-9)) assuming p is positive.
p**(-124)
Simplify ((s*s**7)/s*(s*s**(-1/30)*s)/s)/(s/(s*s**(-9)))**(-46) assuming s is positive.
s**(12659/30)
Simplify d**(3/4)/(d**15*d)*d**(-1/5)*d**(-7) assuming d is positive.
d**(-449/20)
Simplify (z**27/(z/z**(-9/2)*z))/(z**(-1/13)/(z*(z/(z/((z/(z*z*z*z**(-6/5)))/z)))/z)) assuming z is positive.
z**(2441/130)
Simplify (d*d/(d*d*d**(2/11)))**(10/17)*(d*d*d**(-3))/(d/d**9) assuming d is positive.
d**(1289/187)
Simplify ((z*z*z/(z/(z**(5/6)/z)))/(z/(z*z**(-1/13)))*(z**0)**11)**12 assuming z is positive.
z**(274/13)
Simplify (((h*(h**(1/10)*h)/h)/h*h*h)/h**(2/33))/((h/((h/(h*h/(h/((h/((h**8/h*h)/h))/h*h))))/h))/h*h/(h*(h**(-3/10)*h)/h)) assuming h is positive.
h**(1112/165)
Simplify (r**(2/3)*r)**(-18)*r**(-9/5)*r*r**9 assuming r is positive.
r**(-109/5)
Simplify p**(-4/3)*p**(-12/13)*p**(4/7)/p**29 assuming p is positive.
p**(-8377/273)
Simplify (q**(2/3))**(14/9)/(q**(1/5)/q)**42 assuming q is positive.
q**(4676/135)
Simplify (b*b/(b/(b*b**(5/3)*b)))/(b/b**(-1/18)*b)*(((b*b*b*b/b**8*b*b)/b)/b)**(-2/127) assuming b is positive.
b**(6113/2286)
Simplify (k**(-24))**(-16)/(((k**(-7)/k)/k*k*k)/(k*k**(-1/23))) assuming k is positive.
k**(9015/23)
Simplify (w**(-3/4)*w)**(-1/2)*(w**1*w)**(-27/4) assuming w is positive.
w**(-109/8)
Simplify (b/(((b*b*b*b*b**(-6)*b)/b)/b))/b**(-1/2)*b*(b**(-6/7)*b)/b*b*b**(3/2) assuming b is positive.
b**(50/7)
Simplify (d**(-2))**(2/5)*(d/d**(-2))**(-2/63) assuming d is positive.
d**(-94/105)
Simplify ((m*m**(-1/3)*m*m)**(1/4)/((((m**(-1/4)/m)/m)/m*m)/m)**(-9))**(-3/13) assuming m is positive.
m**(343/52)
Simplify (a/(a*a/a**3*a))**(-5/7)/(a**(-6)*a*a/(a/(a*a**(5/2)))) assuming a is positive.
a**(11/14)
Simplify ((z*z**(-3/28)*z)/z**(-2/33))/(z**23/(z*(((z/z**23)/z)/z)/z)) assuming z is positive.
z**(-41623/924)
Simplify (n*n*n/n**(-4))**(3/13)/((n*n*n**(-18)/n*n)/(n/n**(-1/9))) assuming n is positive.
n**(2191/117)
Simplify (l/(l*l**(11/2)))/l*l*l**0*(l**16/l)**(-21/8) assuming l is positive.
l**(-359/8)
Simplify (x**(-3)/x*x)**(-2)/(x/x**(-1/3)*x*x**(-3/8)) assuming x is positive.
x**(97/24)
Simplify (g*g**(-3)*g**(1/3)*(g**(-2/11)/g)/(g/(g**(1/13)*g)))**(2/9) assuming g is positive.
g**(-2378/3861)
Simplify (x**(4/3)/x*x*x)/x*x*x**(-12)/x*x**(4/5)*x**(-3/11) assuming x is positive.
x**(-1673/165)
Simplify (n*(n**11*n)/n)/(n/((n**(-1/5)/n)/n))*((n/((n/(n/(n*(n**(1/3)*n)/n))*n)/n*n))/n)**14 assuming n is positive.
n**(-358/15)
Simplify ((d/d**(4/11)*d)/(d*d**(-8)*d))/(d**0/d**(1/2)) assuming d is positive.
d**(179/22)
Simplify ((f/((f/(f*f**0*f*f*f))/f)*f)**47/(f/f**(1/3))**34)**(-2/31) assuming f is positive.
f**(-1556/93)
Simplify ((l/l**(-1))/l*l)/l**(-2/31)*(l/l**(15/4))/l*l*l/(l/l**(-9)) assuming l is positive.
l**(-1201/124)
Simplify (b/(b*b**(-4/13))*b)**(3/8)/(b**(1/56)*b*b*b/(b**(-4/17)*b)) assuming b is positive.
b**(-2727/1547)
Simplify (m**8*m/(m/(m*m*m**8)))/(m**1/m**(-2/11)) assuming m is positive.
m**(185/11)
Simplify ((m**(-13)/m**(-1/3))**(-5/2))**42 assuming m is positive.
m**1330
Simplify t**(-16)/t*t**(-2/31)*t**(1/7)*t*t**(-12)*t assuming t is positive.
t**(-5842/217)
Simplify f/f**31*f/(((f/(f/(f*f**21)))/f)/f)*(f**(-3/7))**(16/5) assuming f is positive.
f**(-1763/35)
Simplify (m**(3/13)/(m*m*m*m**(-11/5)/m*m))/((m/m**4)/m**23) assuming m is positive.
m**(1653/65)
Si
|
{
"pile_set_name": "DM Mathematics"
}
|
- 15.
2*m - 30
Collect the terms in 34*a - 62*a - 76*a.
-104*a
Collect the terms in 11*h - 25*h + 13*h + 11*h.
10*h
Collect the terms in 267*p - 803*p + 2*p**3 + 267*p + 269*p.
2*p**3
Collect the terms in -29*i - 20*i - 25*i + 122*i - 33*i.
15*i
Collect the terms in -3*m**3 + 910*m**2 - 910*m**2.
-3*m**3
Collect the terms in 2145*h - 3*h**3 - 2145*h + 38*h**3.
35*h**3
Collect the terms in 155*g - 73*g**2 - 155*g.
-73*g**2
Collect the terms in 123 - 123 + 288*o**2.
288*o**2
Collect the terms in -64*m**2 - 2*m**3 - 2*m + 64*m**2 - m**3.
-3*m**3 - 2*m
Collect the terms in 233*r - r**2 - 113*r - 120*r.
-r**2
Collect the terms in 6*s + s + 24*s.
31*s
Collect the terms in -15*k**2 + 30*k**2 - 14*k**2.
k**2
Collect the terms in 7*h + 9*h**2 - 6*h - h + 2.
9*h**2 + 2
Collect the terms in 14920*q + 5*q**3 - 14920*q - 3*q**3.
2*q**3
Collect the terms in -8 - 5 + 19*v + 13.
19*v
Collect the terms in -29*j**3 - 58*j**3 - 44*j**3.
-131*j**3
Collect the terms in 148 - 148 - 171*v**3.
-171*v**3
Collect the terms in 76*i - 37*i - 36*i.
3*i
Collect the terms in 18*j - 70*j + 26*j + 27*j.
j
Collect the terms in -2*y**2 + 11*y - 9*y - 2*y.
-2*y**2
Collect the terms in a + 3*a**2 - a - 13900 + 13900.
3*a**2
Collect the terms in 3*k**3 + 7223*k**2 - 7223*k**2.
3*k**3
Collect the terms in 1057*y - 4*y**2 - 1057*y.
-4*y**2
Collect the terms in -4 - 38*m + 49*m + 4.
11*m
Collect the terms in -144*a**3 + a**2 + 153*a**3 - a**2.
9*a**3
Collect the terms in 8*y + 2*y + 10*y.
20*y
Collect the terms in -2*j**2 + 24639 - 24639.
-2*j**2
Collect the terms in -13*p**3 + 20*p**3 - 6*p**3.
p**3
Collect the terms in -48*b**3 - 56*b**3 + 121*b**3.
17*b**3
Collect the terms in -3*x**3 - x - x + 2*x.
-3*x**3
Collect the terms in -27*a - 18*a + 67*a - 19*a.
3*a
Collect the terms in 3817*o**2 + 53*o**3 - 3817*o**2.
53*o**3
Collect the terms in -8 + 7 + 1 - 650*q**2.
-650*q**2
Collect the terms in -14*q + 2*q + 0*q.
-12*q
Collect the terms in -3*b**2 - 8*b**2 + 4*b**2 - 6*b**2.
-13*b**2
Collect the terms in -9*n**2 + 43*n**3 + 2*n**2 + 7*n**2.
43*n**3
Collect the terms in -1642*x**2 - 9*x + 9*x.
-1642*x**2
Collect the terms in 375 + 31*k**3 + 25*k**3 - 377.
56*k**3 - 2
Collect the terms in 24*l**3 + 0*l**3 - 7*l**3 - 13*l**3.
4*l**3
Collect the terms in 53*u**3 - 76*u**2 + 40*u**2 + 36*u**2.
53*u**3
Collect the terms in 3 + 23*g**2 + 0 - 3.
23*g**2
Collect the terms in -5924 + 2*v + 5924.
2*v
Collect the terms in -1496*q - 3*q**3 + 751*q + 745*q + 4*q**3.
q**3
Collect the terms in -49*c + 26*c + 29*c.
6*c
Collect the terms in 5734*q**3 - 5733*q**3 + q - q.
q**3
Collect the terms in 2*n**3 - 55*n - 54*n + 109*n.
2*n**3
Collect the terms in 16*b - 4*b**2 + 12*b - 28*b.
-4*b**2
Collect the terms in 430 - 430 - 7*i**3.
-7*i**3
Collect the terms in 8*y - 8*y - 7*y**2.
-7*y**2
Collect the terms in 181*q**3 + 185*q**3 - 554*q**3 + 191*q**3.
3*q**3
Collect the terms in 110577 + 5*s**2 - 110577.
5*s**2
Collect the terms in l**2 + 2*l**3 - 5*l**2 + 0*l**2.
2*l**3 - 4*l**2
Collect the terms in -34*d**2 + 4*d**2 + 7*d**2.
-23*d**2
Collect the terms in -38 + 38 - 4*p.
-4*p
Collect the terms in -148*b**2 - 150*b**2 - 157*b**2 - 155*b**2 + 605*b**2.
-5*b**2
Collect the terms in -197*b**2 + 218*b**2 + 1 + 1.
21*b**2 + 2
Collect the terms in 10*b**3 - 26*b**3 + 13*b**3 + 6*b**3.
3*b**3
Collect the terms in 51*v**3 - 1 - 3*v + 3*v.
51*v**3 - 1
Collect the terms in -63 + 126 + 4*r**3 - 63.
4*r**3
Collect the terms in 1400 - 6*c - 1400 + c.
-5*c
Collect the terms in -1265 - 13*y + 1265.
-13*y
Collect the terms in -86*y + 173*y - 90*y.
-3*y
Collect the terms in -2*q + 1 + 2*q + 0*q + 8*q**3.
8*q**3 + 1
Collect the terms in z + z + 0*z - 8*z.
-6*z
Collect the terms in -71*p**2 + 36*p**2 + 35*p**2 + 29*p**3.
29*p**3
Collect the terms in -44*z**2 - 53*z**2 + 107*z**2 - z**3.
-z**3 + 10*z**2
Collect the terms in 4*b + 2*b**2 - b**2 - 12*b.
b**2 - 8*b
Collect the terms in -14*k - 21*k - 23*k + 54*k.
-4*k
Collect the terms in 10 + 2*j**2 - 10.
2*j**2
Collect the terms in 26*j**2 - 37*j**2 + 13*j**2.
2*j**2
Collect the terms in 10*c**3 - 7 - 35*c**3 + 19*c**3.
-6*c**3 - 7
Collect the terms in 105*q - 50*q - 52*q.
3*q
Collect the terms in -1 + 1184*b - 1177*b + 1.
7*b
Collect the terms in 3 - 10 + 7*z**2 + 3.
7*z**2 - 4
Collect the terms in -75379*b - 20*b**3 + 75379*b.
-20*b**3
Collect the terms in -m**2 - 2*m**2 - 2*m**2 + 7*m**3 - m**3.
6*m**3 - 5*m**2
Collect the terms in -23 + 19*a**3 - 20 + 43.
19*a**3
Collect the terms in g - 90*g**3 - g + 92*g**3.
2*g**3
Collect the terms in -t**2 - 15917 + 31840 - 15923.
-t**2
Collect the terms in 7*r - 3*r - 7*r + 8*r.
5*r
Collect the terms in -z + 6*z - 3*z - z + z.
2*z
Collect the terms in 0*s**2 + 524 + 4*s**2 + 531 - 1055.
4*s**2
Collect the terms in -96*l - l**2 + 48*l + 48*l.
-l**2
Collect the terms in -437*y**2 - 438*y**2 + 2*y**3 + 875*y**2.
2*y**3
Collect the terms in 10*x**3 + 20*x**3 - 51*x**3.
-21*x**3
Collect the terms in 9*w**3 + 7*w - w - 6*w + 3*w**3.
12*w**3
Collect the terms in 163*w**3 - 503*w**3 + 168*w**3 + 174*w**3.
2*w**3
Collect the terms in -4*l + 4*l - 170*l**2.
-170*l**2
Collect the terms in -q**2 - 2*q**2 + 3*q**2 + q**2 - 2*q**2.
-q**2
Collect the terms in 879*r**2 - 446*r**2 - 430*r**2.
3*r**2
Collect the terms in -2313*p**2 - 2*p + 2*p.
-2313*p**2
Collect the terms in -5 + 2*k + 4*k + 5.
6*k
Collect the terms in -2 - 1 + 2*s**2 - 2.
2*s**2 - 5
Collect the terms in 128*i - 240*i + 127*i.
15*i
Collect the terms in -7*n**2 + 32*n**2 - 3*n**2.
22*n**2
Collect the terms in -27*y**2 - 20*y**2 + 45*y**2.
-2*y**2
Collect the terms in -158*n + 470*n - 158*n - 150*n.
4*n
Collect the terms in -87*t**3 - 37*t**3 - 94*t**3.
-218*t**3
Collect the terms in 3281739*k - 3281739*k + 7*k**2.
7*k**2
Collect the terms in 0*y**2 - 69 - 5*y**2 + 4*y**2.
-y**2 - 69
Collect the terms in 35*l**3 + 36*l**3 - 72*l**3.
-l**3
Collect the terms in 23*w**3 + 21*w**3 - 39*w**3.
5*w**3
Collect the terms in -39 - 37 + 76 + n.
n
Collect the terms in -3 - 8 - 1 - 7*b + 15.
-7*b + 3
Collect the terms in 33 - 33 + 40*s**3.
40*s**3
Collect the terms in 10*h**2 + 11*h**2 - 6*h**2 + 2*h**2.
17*h**2
Collect the terms in 37*g + 38*g - 117*g + 40*g.
-2*g
Collect the terms in -434 + 434 + 4*a**2 + a**2 - 2*a**2.
3*a**2
Collect the terms in 9437*c - 4*c**3 - 9437*c.
-4*c**3
Collect the terms in 396*s + 176*s**2 - 396*s - 173*s**2.
3*s**2
Collect the terms in -8*t**2 - 4*t**2 + 5*t**2 - 5*t**2.
-12*t**2
Collect the terms in -610*y + 1 - 1 - 5*y**2 + 610*y.
-5*y**2
Collect the terms in -11 - 24*l**3 + 57*l**3 + 11 - 35*l**3.
-2*l**3
Collect the terms in -2*q - 6*q**3 + 2*q + 30 + 0*q.
-6*q**3 + 30
Collect the terms in -19*g**3 + 33 - 9 - 24.
-19*g**3
Collect the terms in -4097*x**3 + 2049*x**3 + 2041*x**3.
-7*x**3
Collect the terms in -2 + 3 + 11*c + 6*c.
17*c + 1
Collect the terms in -37*i**3 + 16*i**3 - 2*i + 2*i.
-21*i**3
Collect the terms in -6*z**3 + 3*z**3 - 2*z**2 + 14*z**2.
-3*z**3 + 12*z**2
Collect the terms in -3*p - 94*p**3 + 3*p + 97*p**3.
3*p**3
Collect the terms in 4*n - 13132 + 13132.
4*n
Collect the terms in 0*t**3 + 7*t**3 + 2*t**3.
9*t**3
Collect the terms in -195*w**2 + 6 - 6 + 194*w**2.
-w**2
Collect the terms in -60*z + 23*z + 20*z + 14*z.
-3*z
Collect the terms in 22*h**2 - 819*h - 19*h**2 + 819*h.
3*h**2
Collect the terms in 517*w - 259*w - 255*w.
3*w
Collect the terms in 37*v - 18*v - 14*v - 7*v.
-2*v
Collect the terms in 341 - 167 + 2*x - 174.
2*x
Collect the terms in 0*f**3 + 9*f**3 - 3*f**3.
6*f**3
Collect the terms in z**3 + z**3 - 803*z + 803*z.
2*z**3
Collect the terms in 21*b**2 + 126 - 257 - 23*b**2 + 131.
-2*b**2
Collect the terms in -6*l**3 + 4*l**3 - l**3.
-3*l**3
Collect the terms in -12*t + t**2 + t**2 + 14*t + 9*t**2.
11*t**2 + 2*t
Collect the terms in 11*x**2 - 12*x + 12*x.
11*x**2
Collect the terms in -4*h**2 + 10*h**2 - 3247 - 8*h**2 + 3247.
-2*h**2
Collect the terms in -s + 318*s**2 + s - 316*s**2.
2*s**2
Collect the terms in -2*f**2 + 41*f - 41*f.
-2*f**2
Collect the terms in 16 - 53*v**2 - 16.
-53*v**2
Collect the terms in -891*k - 893*k + 1788*k.
4*k
Collect the terms in 7*o**3 + 655 - 332 + 0*o**3 - 323.
7*o**3
Collect the terms in -12*i**3 - 5*i**3 + 34*i**3 - 11*i**3.
6*i**3
Collect the terms in -24*u + 45*u - 22*u.
-u
Collect the term
|
{
"pile_set_name": "DM Mathematics"
}
|
f - 1. Let b(s) = -2*j(s) + 7*z(s). What is the second derivative of b(w) wrt w?
200
What is the second derivative of -3 - 1 + 7*a**3 + 4*a**3 + 59*a + 4 - 3*a**2 wrt a?
66*a - 6
Let t(g) = -2912*g**3 + 6*g**2 - 20*g - 9. Let d(n) = 728*n**3 - 2*n**2 + 5*n + 2. Let f(i) = -9*d(i) - 2*t(i). What is the third derivative of f(r) wrt r?
-4368
Let u(c) be the third derivative of c**7/210 + 41*c**5/30 + 13*c**4/6 + c**3/6 - 173*c**2. Find the second derivative of u(w) wrt w.
12*w**2 + 164
Let g(k) be the second derivative of 5*k**8/56 - 11*k**6/15 - k**4/12 - 9*k**2/2 - k. Find the third derivative of g(l) wrt l.
600*l**3 - 528*l
Let h be (18/(-10))/(27/(-180)). Differentiate -3 - h*c**3 + 2 + 0*c + 0*c with respect to c.
-36*c**2
Find the second derivative of -2 + 2 + 2*o**3 - 28*o**4 + 30*o**4 + 20*o + 4*o wrt o.
24*o**2 + 12*o
Let w be 20*3/(4 - 1). Suppose -p + 6*p - 5*o + w = 0, 8 = -5*p + 2*o. What is the third derivative of -4*x**2 + 2*x**5 + 3*x**3 + p*x**3 - 3*x**3 wrt x?
120*x**2
Let g(p) be the second derivative of 109*p**8/8 - 167*p**4/12 - p**3/2 - 2*p + 22. Find the third derivative of g(c) wrt c.
91560*c**3
Let p(r) be the second derivative of 47*r**4/12 + 29*r**3 - 14*r. What is the second derivative of p(c) wrt c?
94
Let h(i) be the second derivative of 17*i**5/4 + 183*i**2 + 6*i + 25. Find the first derivative of h(t) wrt t.
255*t**2
What is the derivative of -64*q**2 - 44*q**2 - 1497 + 1567 wrt q?
-216*q
Let c(z) = z**3 + z**2 + 2*z. Let i(v) = 2*v**4 + 5*v**3 + 5*v**2 + 172*v - 262. Let f(l) = -5*c(l) + i(l). Differentiate f(y) with respect to y.
8*y**3 + 162
Let r(x) = 5*x + 2*x**2 - 12 - 13*x + 6*x + 6*x. Let j(t) = 9*t**2 + 15*t - 48. Let c(l) = 4*j(l) - 15*r(l). What is the derivative of c(z) wrt z?
12*z
Let y = -1003 + 1005. Let u(c) be the second derivative of 8*c + 2/3*c**4 + 0 + 0*c**y - 3/2*c**3. What is the second derivative of u(j) wrt j?
16
Let u = 327 + -321. Let l(h) be the first derivative of u*h + 1/2*h**2 + 1. What is the derivative of l(n) wrt n?
1
Let d(h) = -46*h - 205. Let o(m) = 46*m + 204. Let z(u) = -2*d(u) - 3*o(u). Differentiate z(x) wrt x.
-46
Suppose 2*k = k + 4*q + 39, -2*q = -2*k + 66. What is the second derivative of 16*y + 10*y**3 + 7*y**3 - k*y**3 wrt y?
-84*y
What is the derivative of -44*u - u**3 - 31*u + 132 - 25*u wrt u?
-3*u**2 - 100
Let w(l) = -6*l + 51. Let z be w(8). What is the third derivative of -73*m**3 - 2*m**4 + 73*m**z - 26*m**2 wrt m?
-48*m
Suppose -21*b + 10*b + 44 = 0. Find the third derivative of -4*l**4 - 6*l**4 + b*l**4 + 19*l**2 wrt l.
-144*l
Let c(n) = 23 + 2*n - 48 + 26. Let f be c(3). Find the first derivative of 12 + 2*k - f - 2*k + 7*k**2 wrt k.
14*k
Let w(h) be the first derivative of -179*h**3/3 + 205*h + 187. Differentiate w(v) with respect to v.
-358*v
Let v be (-4)/12*-6*1. Differentiate 17 + 6*w**2 - 18 + w**v - w**2 with respect to w.
12*w
Let g(d) be the first derivative of 2*d**6/5 - 4*d**2 - 7*d + 1. Let k(b) be the first derivative of g(b). Differentiate k(m) wrt m.
48*m**3
Let k(c) be the first derivative of -995*c**3/3 - 3*c**2/2 + 2. What is the second derivative of k(a) wrt a?
-1990
Let j(y) be the second derivative of 64*y**7/21 - 53*y**3/6 - 2*y**2 - 2*y + 23. Find the second derivative of j(r) wrt r.
2560*r**3
Let o(q) be the second derivative of 61*q**7/42 + 25*q**4/4 - q + 45. Find the third derivative of o(y) wrt y.
3660*y**2
Let f(d) be the first derivative of -47*d**2/2 + 85*d + 50. Differentiate f(b) wrt b.
-47
Let s(l) = 97*l**3 + 10*l**2 - 452*l. Let j(c) = 2*c**2 - 2*c. Let u(v) = 5*j(v) - s(v). What is the second derivative of u(a) wrt a?
-582*a
Let y be 5/(30/(-4)) - 28/(-6). What is the second derivative of 123*d - 5*d**3 + 4 - y - 146*d wrt d?
-30*d
Suppose 0 = 4*p + z + 2*z - 11, 0 = -3*p - z + 7. Suppose 3*u - 2 = -n, p*u - 4*u = 2*n - 12. Find the second derivative of n*v - 2*v**4 - 5*v**4 + 3*v wrt v.
-84*v**2
Let k(c) be the third derivative of -c**7/35 - c**6/120 - 23*c**5/30 + 8*c**2 - 3*c. Find the third derivative of k(o) wrt o.
-144*o - 6
Let q = -30 + -2. Let n = q - -34. Find the third derivative of -r**n + 8*r**2 - 11*r**4 + 4*r**2 wrt r.
-264*r
Differentiate -3*n + 70 - 35*n - 45*n wrt n.
-83
Let j(u) be the second derivative of u**6/30 - 11*u**4/3 - u**3/6 + 155*u**2/2 + 270*u - 2. What is the second derivative of j(n) wrt n?
12*n**2 - 88
Let j(w) be the third derivative of -83*w**5/20 + 56*w**3 + 162*w**2. Differentiate j(m) with respect to m.
-498*m
Let z(q) be the second derivative of 49*q**6/5 - 205*q**2/2 - 357*q. What is the derivative of z(a) wrt a?
1176*a**3
Let p(a) be the third derivative of -a**7/30 - a**6/20 - 25*a**3/6 + 3*a**2. Let i(t) be the first derivative of p(t). Find the third derivative of i(s) wrt s.
-168
Let b(y) be the third derivative of -13*y**5/30 + y**4/24 - 61*y**3/6 + 253*y**2 + 2*y. Find the second derivative of b(j) wrt j.
-52
Let h(m) = -3*m**3 - 122*m**2 - 123*m + 5. Let d(q) = q**3 + 2*q**2 + q - 1. Let i(u) = 5*d(u) + h(u). What is the second derivative of i(w) wrt w?
12*w - 224
What is the third derivative of -19 + 3*c**3 + 8*c**4 + 289*c**2 - 146*c**2 - 148*c**2 wrt c?
192*c + 18
Let v(c) = c**2 - 9*c - 2. Let t be v(10). Find the third derivative of -d**3 + 7*d**3 - 51*d**2 + t*d**3 + 43*d**2 wrt d.
84
Differentiate -54*b**4 - 5*b**3 - 3*b**3 + 8*b**3 + 336 - b**3 wrt b.
-216*b**3 - 3*b**2
Suppose -8 = -3*t - 2*m, t - 2*m - 6 = -m. Let a be ((-18)/(-2))/((26 + 7)/11). What is the derivative of -17 + 7 + a*f**t + 7*f**4 wrt f?
40*f**3
Let x(s) be the first derivative of 7*s**6/10 - 4*s**4/3 - 2*s - 13. Let f(k) be the first derivative of x(k). What is the third derivative of f(c) wrt c?
504*c
Let l(p) be the third derivative of 4*p**7/15 - p**6/40 - 71*p**5/15 + 727*p**2. Find the third derivative of l(t) wrt t.
1344*t - 18
What is the second derivative of w - 99 + 146*w**4 + 13*w**2 - 70*w**4 - 67*w**4 wrt w?
108*w**2 + 26
Let w(p) be the first derivative of 31*p**3/3 - 60*p - 65. Differentiate w(s) with respect to s.
62*s
Let u(z) = z**3 + 5*z**2 + 6*z - 3. Let y(s) = -s**2 - s + 1. Let b(w) = u(w) + 6*y(w). Let c be b(0). Find the first derivative of 0 - 5 + o**3 + 2*o**c wrt o.
9*o**2
Suppose 28 = -0*o + o - x, 0 = 4*x - 12. Differentiate 25 + 805*n + o*n**2 - 805*n wrt n.
62*n
Let a(u) be the third derivative of -u**8/840 - u**5/20 + u**4/8 + 9*u**2. Let t(y) be the second derivative of a(y). What is the derivative of t(w) wrt w?
-24*w**2
Let r(x) be the second derivative of -x**4 + 35*x**2/2 + 43*x + 1. What is the derivative of r(i) wrt i?
-24*i
Let n(u) = -119*u**2 - 42*u - 7. Let z(k) = -60*k**2 - 21*k - 4. Let d(h) = 4*n(h) - 7*z(h). Find the second derivative of d(i) wrt i.
-112
Find the second derivative of 5*l + 14*l + 5*l + 482*l**2 - 3 + 48*l + 13*l wrt l.
964
Let q(k) = 526*k**2 + 12*k - 337. Let l(z) = -2629*z**2 - 66*z + 1686. Let j(c) = -2*l(c) - 11*q(c). Differentiate j(h) wrt h.
-1056*h
Suppose 3*h - 2 = -r + 3*r, -12 = -4*r - 2*h. Differentiate -n**4 + 4 + r*n**4 - 2*n**4 with respect to n.
-4*n**3
Let j(g) be the third derivative of 13*g**5/20 - g**4/24 - 11*g**3/2 - g**2 + 31*g. What is the second derivative of j(h) wrt h?
78
Let h be (-40)/(-2) - (7 - 9). Let t = h - 19. Differentiate -8*v**t - 42*v - 11 + 42*v wrt v.
-24*v**2
What is the second derivative of -11*z**5 + 199*z + 106*z**5 - 350*z wrt z?
1900*z**3
Let v(j) be the first derivative of 25/2*j**2 + 8/3*j**3 + 15 + 0*j. Find the second derivative of v(h) wrt h.
16
Let b(a) be the third derivative of -6*a**2 - 1/24*a**4 + 0*a**3 + 0 + 0*a - 1/5*a**5. What is the second derivative of b(t) wrt t?
-24
What is the second derivative of 55*y + 3*y - 40*y**2 + 201 - y**3 - 201 wrt y?
-6*y - 80
Let r be -3*130/36 + 11. Let m(x) be the second derivative of 0 + 2/3*x**3 - r*x**4 + 0*x**2 + x. Find the second derivative of m(p) wrt p.
-4
Let m be 9/((0 + 4)/4). Let w(o) = 6*o**2 - 8. Let q(x) = -23*x**2 + 31. Let f(h) = m*w(h) + 2*q(h). What is the first derivative of f(s) wrt s?
16*s
What is the second derivative of -o**5 + 10*o**2 + 14*o**5 - 6*o**5 - 5*o**5 - 3 + 3*o**2 + 9*o wrt o?
40*o**3 + 26
Let f(o) = -2*o**3 - 44*o**2 - 6*o. Let b(m) = -3*m**3 - 44*m**2 - 5*m. Let y(h) = 6*b(h) - 5*f(h). Find the third
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 123*h**3 + 191*h**3 - 1257 + 631.
-2*h**3 - 1218
Collect the terms in 5102470*k - 578*k**2 - 5102470*k.
-578*k**2
Collect the terms in 1346 - 3103*o + 1356 - 2702.
-3103*o
Collect the terms in -3977336314 + 3977336314 + 84*f.
84*f
Collect the terms in -5*y**2 + 5*y**2 + 1089579*y**3 + 350496*y**3.
1440075*y**3
Collect the terms in 100*t**3 - 811 - 4*t**3 - 4*t**2 - 1026 + t.
96*t**3 - 4*t**2 + t - 1837
Collect the terms in 25*u**2 + 54*u**2 + 16*u + 2*u**3 - 187*u**2 + 54*u**2 + 54*u**2.
2*u**3 + 16*u
Collect the terms in -319*p - 428*p - 1542*p.
-2289*p
Collect the terms in 0 + 4555*v - 1 + 3*v**2 + 32*v**3 - 2*v**2.
32*v**3 + v**2 + 4555*v - 1
Collect the terms in -37*h**2 - 742*h**3 + 78*h**2 - 1054*h**3 - 41*h**2 + 1802*h**3.
6*h**3
Collect the terms in 313*v**3 + 302*v**3 - 578*v**3 + 198*v**3.
235*v**3
Collect the terms in 21786*s**2 - 5887*s**2 - 10445*s**2.
5454*s**2
Collect the terms in z - 4*z - 6*z - 19*z + 0*z + 19*z - 4*z**2 + 15*z.
-4*z**2 + 6*z
Collect the terms in 19*x + 5*x + 330 - 1057 - 483.
24*x - 1210
Collect the terms in -3568 - 3568 - 3567 - 160*z + 10701.
-160*z - 2
Collect the terms in -788*z**3 + 3816*z - 3817*z + 348*z**3 + 398*z**3.
-42*z**3 - z
Collect the terms in -3559*q + 21*q**3 + 1803*q - 23*q**3 + 1793*q.
-2*q**3 + 37*q
Collect the terms in 1065*d**3 + d - 7*d - 1037*d**3 + 6*d.
28*d**3
Collect the terms in -116 + 4*o**2 + 139 + 5*o - o**2 - 28.
3*o**2 + 5*o - 5
Collect the terms in -1614*b**3 + 13191*b**3 + 2911*b**3.
14488*b**3
Collect the terms in -41681*n**2 + 13910*n**2 + 13919*n**2 + 13823*n**2.
-29*n**2
Collect the terms in 55697456094*p**2 - 55697456094*p**2 - 2*p**3.
-2*p**3
Collect the terms in -195385*y**2 + 94691*y**2 + 100695*y**2.
y**2
Collect the terms in 244*h - 572550891 + 572550891.
244*h
Collect the terms in 2*j + j**3 - j**3 + 0*j**3 - 2662*j**2 - 21 - 2*j**3.
-2*j**3 - 2662*j**2 + 2*j - 21
Collect the terms in 85 - 6*p - 84 + 0 + 2 - 3.
-6*p
Collect the terms in -9 + 392586*z + 15 - 6.
392586*z
Collect the terms in -15143*h + 5045*h + 5065*h + 5028*h.
-5*h
Collect the terms in -392*o**3 - 797*o**3 + 7*o**2 + 728*o**3 - 7*o**2 - 443*o**3.
-904*o**3
Collect the terms in 41*a - 894*a**2 + 2393*a**2 + 7639*a**2 - 41*a.
9138*a**2
Collect the terms in 263776287*o**2 - 131888145*o**2 - 131888140*o**2.
2*o**2
Collect the terms in -28226*t - 16252*t + 176 + 13163*t - 176.
-31315*t
Collect the terms in -7859*l + 15681*l - 82 - 7817*l.
5*l - 82
Collect the terms in -52797*t + 105593*t - 52795*t + 46.
t + 46
Collect the terms in -23*m - 100 - 224 - 92 - 12*m + 416.
-35*m
Collect the terms in -33725713 + 67451444 - 33725732 + 4*a**3.
4*a**3 - 1
Collect the terms in -5441 - 5598 + 1285*h + 11039 - 1293*h.
-8*h
Collect the terms in -37*g**2 + 5*g**2 - 5638*g**3 + 32*g**2.
-5638*g**3
Collect the terms in 6083*l + 4099*l + 4668*l.
14850*l
Collect the terms in -589095*z**3 - 811922*z**3 - 1536774*z**3.
-2937791*z**3
Collect the terms in -15452*y**3 - 5795*y + 15454*y**3 + 36677*y.
2*y**3 + 30882*y
Collect the terms in -10743 + 5539 + s + 5204.
s
Collect the terms in 1099*z**2 + 19 - 1561*z**3 - 19 - 358*z**2 + 1562*z**3 - 364*z**2 - 377*z**2.
z**3
Collect the terms in 908*y + 193728 - 193728.
908*y
Collect the terms in -25*d**2 - 462 + 124 + 170 + 168 + 76*d**2.
51*d**2
Collect the terms in -1926861*q + 1926896*q + 6685*q**3 - 6683*q**3.
2*q**3 + 35*q
Collect the terms in 23*q**3 - 16*q**3 - 16*q**3 - 34*q**3 - 15*q**3.
-58*q**3
Collect the terms in 7551*i**2 + 12536*i**2 - 5526*i**2.
14561*i**2
Collect the terms in -132593 - j + 5*j + 625156 - 3*j.
j + 492563
Collect the terms in 1476*h**3 - 3467*h**3 + 1064*h**3 + 930*h**3.
3*h**3
Collect the terms in -6*b**3 + 13*b**3 - 584 - 16409*b**2 + 16409*b**2.
7*b**3 - 584
Collect the terms in -797*o + 92*o - 492*o + 0*o**2 - o**2 + 0*o**2.
-o**2 - 1197*o
Collect the terms in 2 + 1 - 393*n**2 - 18*n**2 + 415*n**2 + 1.
4*n**2 + 4
Collect the terms in 9*m**3 - 31449*m + 10423*m + 9*m**3 + m**3 + 10514*m + 10512*m.
19*m**3
Collect the terms in 1208*o + 1834*o - 173*o + 20*o.
2889*o
Collect the terms in 150534*l - l**3 - 75239*l - 75226*l.
-l**3 + 69*l
Collect the terms in -24*u**2 - 6*u**3 + 2*u**3 + u**3 + 63*u**2 + 0*u**3.
-3*u**3 + 39*u**2
Collect the terms in -89 + 2*l + 573 - 237 - 81 - 86 - 80.
2*l
Collect the terms in 41*z**3 + 60*z**3 - 235*z**3 + 96*z**3 + 36*z**3.
-2*z**3
Collect the terms in -67*u**2 + 6 - 4 + 60*u**2 - 1184*u.
-7*u**2 - 1184*u + 2
Collect the terms in -2672*u**2 + 2180*u**2 + 10116*u**2.
9624*u**2
Collect the terms in -3*g**3 + 6*g**3 - 331*g + g**3 - 452*g - 2*g**3.
2*g**3 - 783*g
Collect the terms in -5329*f + 76*f**2 + 17932*f - 73*f**2.
3*f**2 + 12603*f
Collect the terms in 10661*n - 4768*n + 8621*n.
14514*n
Collect the terms in -2496*k + 503*k + 500*k + 500*k + 495*k + 499*k - 40.
k - 40
Collect the terms in -465189*v - 371791*v + 38043*v.
-798937*v
Collect the terms in 151*g**2 + 164*g + 1 - 200*g - 132*g + 168*g.
151*g**2 + 1
Collect the terms in -3*z - 5*z - 10*z + 119 + 102 + 26.
-18*z + 247
Collect the terms in -62719*v + 31349*v + v**3 + 31347*v.
v**3 - 23*v
Collect the terms in -30765*f + 4 + 165*f**3 - 161*f**3 - 4.
4*f**3 - 30765*f
Collect the terms in 587*y + 464*y - 1502*y + 468*y.
17*y
Collect the terms in -2210*d**3 - 150436 + 150436.
-2210*d**3
Collect the terms in 1222*i**2 - 573*i**2 - 648*i**2 + 129*i - 96*i + 129*i.
i**2 + 162*i
Collect the terms in 38696*t**2 - 166693*t**2 - 172296*t**2 + 76935*t**2 - 3*t**3.
-3*t**3 - 223358*t**2
Collect the terms in 12*v**2 - 966*v**3 - 6*v**2 + 2299*v**3 - 1359*v**3 - 4*v**2.
-26*v**3 + 2*v**2
Collect the terms in 56*k - 23*k + 30*k + 20*k + 38*k.
121*k
Collect the terms in -178*f - 183*f - 186*f - 200*f + 937*f - 187*f.
3*f
Collect the terms in 384*t**2 - 92*t**2 - 381*t - 290*t**2.
2*t**2 - 381*t
Collect the terms in 0 - 3410*j**3 + 0 - 1465*j**3 - 386*j**3.
-5261*j**3
Collect the terms in -6 - 10 + 16 - 43748*p**3 - 54268*p**3.
-98016*p**3
Collect the terms in -40055 + 40055 - 5619*d + 5636*d.
17*d
Collect the terms in -534*u + 4 + 534*u + 17905*u**2 - 4.
17905*u**2
Collect the terms in -76*c**2 + 89*c**2 - 62*c**2 + 18*c**2 - 100*c**2.
-131*c**2
Collect the terms in 98999 + 921*l + 925*l + 923*l - 2771*l.
-2*l + 98999
Collect the terms in -5511*f**3 - 5527*f**3 + 10342*f**3.
-696*f**3
Collect the terms in 25283*p**2 - 2451*p**2 + 13 - 13 + 11534*p**2.
34366*p**2
Collect the terms in 209*s**2 + 0 + 5 - 4 + 4 + 794*s**2.
1003*s**2 + 5
Collect the terms in -15367*s - 15406*s + 46183*s + 155*s**2 - 160*s**2 - 15410*s.
-5*s**2
Collect the terms in 8954 + 8957 - 44798 + 23*s + 8962 + 8959 + 8966.
23*s
Collect the terms in 1441*s + 10563 - 5275 - 5288.
1441*s
Collect the terms in 118432*h**2 + 504679*h**2 + 76842*h**2 + 6 - 6.
699953*h**2
Collect the terms in -42*u**3 - 35*u**3 + 180*u**3 - 37*u**3 - 21*u**3 - 39*u**3.
6*u**3
Collect the terms in -4 - 6 + 7*q - 7 - 9 + 26.
7*q
Collect the terms in -2784 + 2*k**2 + 3*k**2 + 3*k**2 - 13*k**2 + 2784.
-5*k**2
Collect the terms in -63*r + 76*r + 67*r + 17*r.
97*r
Collect the terms in -161*l**2 - 183*l**2 + 91*l**2 + 84*l**2 - 170*l**2.
-339*l**2
Collect the terms in 253828177*f - 507656113*f + 253827933*f.
-3*f
Collect the terms in 131*c**2 - 16*c - 341*c**2 - 253*c**2 + 6*c + 10*c.
-463*c**2
Collect the terms in 2*m - 524*m**3 - 2608*m**3 + 16783*m**3 + 3*m.
13651*m**3 + 5*m
Collect the terms in -2*a + 1299 - 1070 - 1471.
-2*a - 1242
Collect the terms in -2960343*d**3 + 5919756*d**3 - 2959469*d**3.
-56*d**3
Collect the terms in 388646498*c**2 - 441 - 444 - 388646497*c**2 + 885.
c**2
Collect the terms in 2421*i + 742*i + 156*i.
3319*i
Collect the terms in -1454165*i - 1454156*i + 336 + 2908320*i.
-i + 336
Collect the terms in -108*v - 105*v + 1 + 214*v - 76*v - 2.
-75*v - 1
Collect the terms in -15543*t**3 + 31280*t**3 - 16473*t**3.
-736*t**3
Collect the terms in 19 - 8659*o - 6012*o + 2437*o - 3965*o.
-16199*o + 19
Collect the terms in 3407*z**2 - 412 - 6803*z**2 + 3381*z**2.
-15*z**2 - 412
Collect the terms in -y**2 - 7*y**3 - y**2 + 2*y**2 - 9473*y + 11*y**3 + 9473*y.
4*y**3
Collect the terms in 69*a**3 + 4*a**3 + 115*a**3 + a + 2 + 0.
188*a**3 + a + 2
Collect the terms in -2541477*t**2 + 5083029*t**2 - 2541494*t**2.
58*t**
|
{
"pile_set_name": "DM Mathematics"
}
|
+ d**2) - 519 + 519 + 5*d**2.
4*d**2
Expand (-1 - 2 + 0 + (1 - 4 + 4)*(-2 - 3 + 4))*(158 - 158 + 136*c).
-544*c
Expand (-43*k + 4 - 1 + 46*k)*(4*k**2 + 0*k**2 - 3*k**2)*(-k + 3*k + 3*k).
15*k**4 + 15*k**3
Expand 5*s**5 + 2 - 2 + (-s**5 - 2*s**5 + 2*s**5)*(0 - 3 + 4) + 0*s + 0*s - s**5 - 5*s**5 + 6*s**5 - 3*s**5.
s**5
Expand 0*c + c - 2*c + 4*c + c - 3*c + c - c + c + (-2 + 4 - 4)*(-2*c + c + 2*c) + c - 3*c + 4*c + 2*c + 6*c - 2*c.
8*c
Expand (-3 - 1 + 2 + 1 - 1 - 2 + 3 - 3 + 2 - 2 + 2 + 1 - 3 - 1 + 2 + (-4 + 6 + 0)*(1 + 1 - 1) - 2 + 1 + 0)*(4*s**3 - 52*s**3 - 32*s**3).
160*s**3
Expand (-4*r + 3*r - 3*r)*(1 - 3 - 1)*(7 - 1 + 3).
108*r
Expand (-24*b - 15*b + 7*b)*(-4*b**3 - 1 + 1)*(4*b - 2*b - b).
128*b**5
Expand (-1 + 1 + 2)*(p - 1 + 1) + p + p - p + (16 - 2 + 0)*(-4*p - 3*p + 11*p) + 2 + 4*p + 0*p - 2*p.
61*p + 2
Expand (3 - 2 - 4)*(-2*n**3 + 23 - 7*n**3 - 26) + 3*n**3 - n**3 - n**3.
28*n**3 + 9
Expand -5*n + 6*n + 3*n + (-3 + 0 + 4)*(2 - 2 - 2*n) - 2*n + 1 - 1 - 196 + 196 + 75*n.
75*n
Expand (-x + 8*x - 8*x)*(-4 + 4 - 1 + (-7 + 2 + 3)*(-1 + 3 + 0) + 1 - 3 + 1) + (-x + 0*x + 3*x)*(3 - 4 - 1).
2*x
Expand (3*y**2 - 4*y**2 + 3*y**2 + (5 - 2*y - 5)*(-y - 3 + 3) - 5*y**2 + 5*y**2 - 3*y**2 - 1 + 1 + 6*y**2)*(0 + 4 - 3)*(2 + 0 - 3).
-7*y**2
Expand (1 - 1 + 2*k - 1)*(-2 + k + k + 260 + (3*k - 6*k + k)*(2 - 5 + 1)).
12*k**2 + 510*k - 258
Expand (0 - s + 0)*((-2*s + 0 + 0)*(-22 + 4 + 6) + (-5 + 2 + 1)*(4*s - 3*s - 2*s)).
-26*s**2
Expand (11780 - o**2 - 11780)*(-3 - o**3 + 4 + 2*o**3 - o**2).
-o**5 + o**4 - o**2
Expand (-2*o + 2*o - 2*o)*(3 + 2 - 6)*(3*o - 4*o + 2*o)*(45*o + 134 - 8*o - 136).
74*o**3 - 4*o**2
Expand (2*f - 1 + 1)*(-49 - 48 + 36 - f)*(0 + 3 - 4).
2*f**2 + 122*f
Expand (-2*h**4 + 3*h**4 - 2*h + 0*h**4)*(12*h + 6*h - 15*h) + 0*h**5 + 2*h**5 + 0*h**5.
5*h**5 - 6*h**2
Expand (-10*t + 2*t + 2*t)*(-5*t + 2*t + 4*t) + 12 - 12 - 4*t**2.
-10*t**2
Expand 3*p - p**3 - 3*p + p**3 + 1 - 1 + (11*p**2 - 14 + 14)*(p - 2*p - p) + (-2*p**2 - 2*p**2 + 3*p**2)*(2*p + p - 5*p).
-20*p**3
Expand (-6 + 1 + 2)*(142 - 142 + 82*k).
-246*k
Expand (-739 + 739 - 6*h)*(2*h + h + h + (3 - 5 + 1)*(-1 - 2*h + 1) + 4*h + 0*h - 5*h).
-30*h**2
Expand (-2*u - 2*u + 2*u)*(0 - 5 - 2)*(-4*u + 3*u + 3*u).
28*u**2
Expand (-5*s + 16*s - 2*s)*(4*s**3 + 10*s**3 + s**3).
135*s**4
Expand (-2*v**2 + 3*v - 3*v)*(-14 - 95 + 8*v + 55).
-16*v**3 + 108*v**2
Expand (-3*f + 5*f + 0*f)*(4 - 2 - 1) + 3*f + 3*f - 5*f + (-2 - 3 + 3)*(-2*f + 0 + 0) - 32*f + 11*f + 15*f.
f
Expand (-2*g**3 - g**4 + 2*g**3)*(-2 - 2 + 2) + (4*g**3 - 3*g**3 + 0*g**3)*(-4*g - 9 + 9) - 3*g**4 + 6*g - 6*g - 2*g**3.
-5*g**4 - 2*g**3
Expand (-1 - 1 + 1)*(10*p + 43*p - 16*p)*(-4 + 2 + 0)*(0*p - 2*p + p) + (-p + 3*p + 0*p)*(-3*p - p + 3*p).
-76*p**2
Expand 0 + 0 - x + (2 + 2 - 2)*(-2*x + 3*x - 3*x) - 20*x + 22*x + 22*x - 2*x + x + 2*x + (0 + 1 - 3)*(-x - 2*x + 4*x) - 4 - 2*x + 4.
16*x
Expand (-1 - 2 + 0)*(-12 - 7*d - 3*d + 8*d).
6*d + 36
Expand (-8*g**2 - 2 + 2)*(0 + 0 + 3*g) + 0*g**3 + 4*g**3 - 5*g**3 - 5*g**3 + 4*g**3 + 4*g**3 + 0*g**3 + 0*g**3 + g**3.
-21*g**3
Expand 0 + 0 + 2*s**4 + (3*s**2 - s + s)*(-s - s + 8*s)*(2 - 2 - s + (0 - 3 + 2)*(-3 + 3 - 2*s)) - 31*s**4 - 51*s + 51*s.
-11*s**4
Expand (-15*u + 42 - 42 + (-1 + 1 + u)*(-3 + 1 + 0))*(-7*u**2 + 5*u**2 + 3*u**2).
-17*u**3
Expand (y**2 + 0*y**2 - 3*y**2)*(-38*y + 241*y + 223*y + 150*y).
-1152*y**3
Expand -21*u**3 - 21*u**2 + 21*u**2 + (u**3 + u**3 + u**3)*(5 - 2 - 2) + u**3 - 2*u**3 + 0*u**3.
-19*u**3
Expand (2 + 2*o**2 - 2)*(0 + 3 - 4)*(-5 + 2 + 2).
2*o**2
Expand (-21*j**3 - 20*j**3 - 78*j**3)*(0 - 1 + 3)*(0*j - 2*j + 5*j).
-714*j**4
Expand (0*f**3 - f**3 + 4*f**3)*(-3*f**2 + 3*f**2 - 2*f**2) + (-3*f**4 + 5*f**4 + f**4)*(11 - 11 - 6*f) + 4*f**3 + 2*f**5 - 2*f**3 - 4*f**3.
-22*f**5 - 2*f**3
Expand (3 - 5 + 1)*(0*r + 3*r + 0*r)*(-2 + 0 + 3) + 1 - 1 - 4*r + 2*r + 2 - 2 - 3*r - 2*r + 3*r + (-2 - 1 + 2)*(1 - 1 + 2*r) - 311 + 24*r + 311.
15*r
Expand (0*w**2 - 2*w**2 + 3*w - 5*w - 1)*((-3 + 3 - 6)*(-w + 0*w + 3*w) + 2*w - 3*w + 0*w).
26*w**3 + 26*w**2 + 13*w
Expand 113*u - 9*u - 22*u + (3 - 1 - 1)*(-4 - u + 4).
81*u
Expand -2*o**4 + 231*o**4 + 7*o**4 + (-o**2 + 3*o - 3*o)*(-2*o + 2*o - o**2).
237*o**4
Expand 1 - 2*f - 1 + (-3*f - 3 + 3 + (3 + 1 - 3)*(3*f - 2*f + 0*f))*(-4 + 7 + 2) - 6*f + f + f.
-16*f
Expand (-2*c**3 + 5*c**3 + 0*c**3 + (1 - 2 + 3)*(-5*c**3 + 3*c**3 + 0*c**3))*(-c - 190 + 183 + 7*c).
-6*c**4 + 7*c**3
Expand (3*s**2 + s**2 - 2*s**2)*(4*s**2 - 4*s**2 - 3*s**2) - 13*s**4 + 17*s**3 - 17*s**3.
-19*s**4
Expand (20 - 16 - 25)*(3*d + 1 - 1).
-63*d
Expand (81 + 63*n - 122*n + 58*n)*(-4*n + 0*n + n + 2 + (2*n + 2*n - 3*n)*(0 + 5 - 4) - 4*n - n + 6*n).
n**2 - 83*n + 162
Expand (3*w**3 + 1 - 1)*(-4 + 1 + 1)*(4 - 3 + 0 + (-20 - 4 + 11)*(6 - 1 - 1)).
306*w**3
Expand -2*p - 3 + 3 + (2 + 0 - 4)*(-3 + 3 + 2*p) - p - 5*p + 0*p + (-p + 5*p + 2*p)*(-3 + 2 + 0).
-18*p
Expand 1 + o**5 - 1 + (o**3 + 3*o**2 - 3*o**2)*(2 + o**2 - 2) + (2 - 1 + 7)*(-2 + 5 - 5*o + 3*o)*(-o**4 + 2*o - 2*o).
18*o**5 - 24*o**4
Expand (f - f - 2*f**3 + 2*f**3 + 5*f**3 + f**3 + (-5*f**2 - 13*f**2 + 4*f**2)*(-f + 0*f - 2*f))*(f**2 - 2*f**2 - 2*f**2).
-144*f**5
Expand (c + 0*c + c)*(-67 - c - c**2 - 61 + 99).
-2*c**3 - 2*c**2 - 58*c
Expand (-1 - 4 + 6)*(-28207 - 23*a + 28207)*(-a**4 + 0*a + 0*a).
23*a**5
Expand (3*j - 2*j - 14 + 12)*(-3 - 3 + 4) + (-1 - 1 + 0)*(-3*j + 2*j - j).
2*j + 4
Expand -2*a**5 - 2*a**5 + 6*a**5 + (0*a**2 + 0*a**2 + a**3)*(-5*a**2 + 6*a**2 + a**2) + 6*a**5 - a**2 + a**2 + (3 + 1 - 2)*(-11*a**5 + 31*a**5 + 32*a**5).
114*a**5
Expand (-3*k + k - k)*(3 - 4 - 3) + 6*k + 0*k - 4*k + 3*k + 12*k + 5*k.
34*k
Expand 222 - 222 + 34*m**4 + (5 - 2 - 1)*(-2*m**4 - m + m) + 34*m**3 + 3*m**2 + 3*m**4 - 20*m**3 - 17*m**3.
33*m**4 - 3*m**3 + 3*m**2
Expand (r - r - 2*r)*(2 + 2*r - 2)*((0*r**2 + 5*r**2 + 4*r**2)*(0*r + 3*r - r) + 2*r**3 - r + r) - 99*r**4 - 24*r**5 + 99*r**4.
-104*r**5
Expand (-960 + 514 + 523)*(3 - 3 + 2 + 2*x).
154*x + 154
Expand (0*m**3 + m**3 - 3*m**3)*((3*m + m - 5*m)*(11*m + 6*m - m) + (m - m + 3*m**2)*(2 + 1 - 4) - 5*m**2 - 2*m**2 + 5*m**2).
42*m**5
Expand (-3*q - 3*q + q + (0*q + 3*q - q)*(1 - 2 + 2) + 6*q - 2*q + 3*q)*(0*q**2 + 2*q**2 + 0*q**2).
8*q**3
Expand (-194*y - 216*y - 114 + 114)*(-y - y + 4*y)*(2*y + 3 - 3).
-1640*y**3
Expand (-t**2 + 8*t**2 + 0*t**2)*(-1 + 1 + 2) - t + t + 1 - 7*t**2.
7*t**2 + 1
Expand -a**4 - a**4 + a**4 + (-1 - 1 + 0)*(0 - 2*a**4 + 0) + 4*a**4 - 4 + 4 - a**4 + 5*a**4 - 3*a**4 - 6 + 6 - 3*a**4.
5*a**4
Expand (11*i**2 + 3*i**2 - 20*i**2)*(-2*i**3 - 1 + 2 + 0*i**3).
12*i**5 - 6*i**2
Expand (4 - 4 + s**4)*(-3*s + 0*s - 5*s) - 3*s**5 + 13*s**5 - 6*s**5.
-4*s**5
Expand (-2*t**2 + t**2 - t**2)*(2 - 3 - 1) - 5*t**2 + t**2 + 2*t**2 + 14*t**2 - 77*t**2 + 3*t**2.
-58*t**2
Expand 3*s**5 + s**5 - 7*s**5 + 3*s**4 - 3*s**4 + 3*s**5 + (0*s**2 + s**3 + 0*s**2)*(-s + s + 2*s**2) + 1 - 1 + 2*s**5 + (s - 3*s + 5*s)*(2*s**4 + 1 - 1).
10*s**5
Expand (-2*l - 3*l - l)*(-4*l**3 - 100*l + 2*l**2 + 2*l**4 + 100*l).
-12*l**5 + 24*l**4 - 12*l**3
Expand -2*a**2 + 5*a + a**2 - 2*a + (a - 1 + 1)*(-12*a + 21*a - 54*a).
-46*a**2 + 3*a
Expand -3*b**3 + b**3 - b**3 + (-7*b**3 + 8*b**3 + b**3)*(1 - 1 - 4).
-11*b**3
Expand -883*p**2 - 24*p**3 + 883*p**2 + (0*p**2 + 4*p**2 - 3*p**2)*(p + 1 - 1) + 2*p**3 + 5*p**3 - 5*p**3.
-21*p**3
Expand (4*o**3 - 2 + 2)*(203 - 192 + 2*o - o).
4*o**4 + 44*o**3
Expand (-2*u + 8 - 8)*(-2*u**2 - 38*u**2 + 4*u**2)*(-2*u**2 - 3*u + 3*u).
-144*u**5
Expand -f + 2*f + f - f + 1 - 1 + (4*f + 0*f - 2*f)*(-1 + 0 + 2) + 0*f - 4*f + 5*f + 5 - 2 - 695*f + 569*f.
-122*f + 3
Expand (-7 - 2 - 8)*(8 + 1 + 5)*(2*p + 3 - 3).
-476*p
Expand (2*c - c + 2*c)*(-5 + 5 - c) + (-c + 4*c + 0*c)*(c + 6*c - 5*c) + 2*c**2 + 4*c - 4*c + (3 - 2 - 3)*(5*c**2 + 2*c**2 - 5*c**2) + c**2 - c**2 + 3*c**2.
4*c**2
Expand -2*f**2 + f**2 - 3*f**2 + (12*f - 2*f + 5*f)*(3*f - 3*f + 2*f).
26*f**2
Expand b + 2*b - b + (1 - 2 + 3)*(-2*b + 1 - 1) - 5 - 2*b + 5 + 2122*b - 6363*b + 2129*b + 2131*b - 5.
15*b - 5
Expand (-2*b + b - 7*b)*(-3 + 2 + 4 + (-2 - 2 + 1)*(-4 + 0 + 1)).
-96*b
Expand (0*b**3 - b**3 + 4*b**3)*(-2*b**2 + b**2 + 3*b**2 + (-b + 0*b + 3*b)*(b - 3*b + 0*b) + 7*b - 13*b**2 - 7*b + b**2 - b**2 + b**2).
-42*b**5
Expand (5*v**2 + 10*v**2 - 5*v**2)*(v + 12*v + 2*v + 12*v).
270*v**3
Expand (0
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*x - 1. Let l(u) = -6*d(u) - 2*g(u). Let o(z) = -8*z + 8. Let c(h) = 9*l(h) - 2*o(h). Differentiate c(n) wrt n.
-2
Find the third derivative of 76 + 20*x**3 + 17*x**2 - 76 wrt x.
120
Let c(w) be the second derivative of -5*w**4/12 - w**3 + 5*w. Find the second derivative of c(u) wrt u.
-10
Let m be (5/4)/((-2)/(-8)). Suppose -4*f = w + 11, -5*w = 3*f - m*f - 33. What is the second derivative of -7*t**4 - 2*t**w + 7*t**4 + t wrt t?
-40*t**3
Let n be (-4)/2 + 3 - (-1 - -2). Let x(b) be the second derivative of 1/6*b**3 + 1/2*b**2 + n + 2*b. What is the derivative of x(i) wrt i?
1
Let r be -1*(2 - 0) - -7. What is the third derivative of -r*j**2 - j**6 - 20*j**5 + 20*j**5 wrt j?
-120*j**3
Find the third derivative of -19*h**4 - 6*h**4 - 19*h**2 - 2*h**2 wrt h.
-600*h
Let w(r) be the first derivative of 10*r**3/3 + 7*r**2/2 - 4. What is the second derivative of w(g) wrt g?
20
Let l(o) = 11*o**2 - 14. Let q(p) = -p**2 - 1. Let g(i) = -l(i) + 5*q(i). Find the first derivative of g(h) wrt h.
-32*h
Let v(c) = -c**3 + 7*c**2 + 2. Let k be v(7). Differentiate 2*a + k*a + 3 - 5 with respect to a.
4
Let r(d) = d**3 + d**2 - d + 3. Let j be r(0). Find the second derivative of 0*c**3 + 3*c**5 + 2*c**3 - 2*c - 2*c**j wrt c.
60*c**3
Let p be (-3)/(-9) - (-59)/3. What is the second derivative of -36 - 3*r + 16 + p - 8*r**2 wrt r?
-16
Let s(a) = -5*a**5 + 2*a**4 + 2*a**3 - 5*a**2 + 2. Let b(m) = m**4 + m**3 + m**2 + 1. Let v(c) = 6*b(c) - 3*s(c). Find the third derivative of v(h) wrt h.
900*h**2
Let g(r) = -4*r**5 - 3*r**4 + 3*r**3 - 3. Let x(u) = 3*u**5 + 4*u**4 - 4*u**3 + u + 4. Let q(j) = -4*g(j) - 3*x(j). What is the second derivative of q(f) wrt f?
140*f**3
Suppose -3*q + 6 = -0. Suppose -q - 1 = -d. Find the first derivative of 0*r**2 + r**d + 0*r**2 + 3 wrt r.
3*r**2
Suppose 2*g = -0*g + h + 13, 0 = -2*g + 2*h + 16. What is the third derivative of -2*p**5 - 2*p**g - 2*p + 2*p + 4*p**2 wrt p?
-240*p**2
What is the second derivative of 5*q + 17*q**2 - 3*q**2 - q wrt q?
28
Let h(d) be the second derivative of -d**7/840 - d**6/180 - d**3/3 - 2*d. Let x(n) be the second derivative of h(n). Find the third derivative of x(j) wrt j.
-6
Let n(r) be the second derivative of -2*r**7/7 + 3*r**3/2 - 13*r. What is the second derivative of n(j) wrt j?
-240*j**3
Suppose 0 = -5*z + 5*d + 5, -2*z + 3*d - 8 = -d. Find the first derivative of 53*r**2 - 53*r**2 + 7*r**3 + z wrt r.
21*r**2
Let v(i) = -2*i**2 - 16*i - 5. Let j(x) = -2*x**2 - 17*x - 6. Let l(d) = -5*j(d) + 6*v(d). What is the second derivative of l(m) wrt m?
-4
Let u(l) be the third derivative of -4*l**7/35 + 3*l**5/5 + 27*l**2. What is the third derivative of u(d) wrt d?
-576*d
Let h(b) = -4*b - 3. Let w(o) = -o**2 - o + 1. Let x(p) = h(p) + w(p). Let g be x(-4). What is the third derivative of 6*n - 6*n + 2*n**5 - n**g wrt n?
120*n**2
Let s(h) = -9*h**4 - 5*h**2 + h + 5. Let y = -8 + 6. Let o(f) = -4*f**4 - 2*f**2 + f + 2. Let j(z) = y*s(z) + 5*o(z). Find the second derivative of j(r) wrt r.
-24*r**2
Let y be 98/28 + 1/2. What is the third derivative of -5*w**2 + 5*w**5 - 5*w**4 + 0*w**y + 5*w**4 wrt w?
300*w**2
Let l be ((-3)/4)/(1/(-4)). What is the derivative of v**4 + 0*v**3 + 4*v**4 + 5 + 0*v**l wrt v?
20*v**3
Let z(k) be the second derivative of 0*k**6 + 0 + 5/12*k**4 + 0*k**3 + 0*k**2 + 2/21*k**7 + 0*k**5 - 6*k. What is the third derivative of z(u) wrt u?
240*u**2
Let n = 5 + -3. What is the derivative of 3 - 2*m - n + 0 wrt m?
-2
Let g(s) be the second derivative of 7*s**4/6 + 3*s**3 + 23*s. What is the second derivative of g(c) wrt c?
28
Suppose -5*u - 13 = -r, 3*r - 3*u = r + 12. Let g = r + -1. Differentiate -2 + 0 + g*v**4 + 0*v**4 with respect to v.
8*v**3
Find the third derivative of -6*u**2 - 34*u**3 + 15*u**3 - 2*u - 22*u**2 wrt u.
-114
Let g = -55 + 58. Let z(h) be the second derivative of h + 1/4*h**4 + 0*h**2 + 0 - 2/3*h**g. Find the second derivative of z(a) wrt a.
6
Suppose -b + 5*v + 27 = -0*b, -2*v - 18 = -4*b. Let p(q) be the second derivative of 0 + q - 1/6*q**3 - q**b. What is the first derivative of p(r) wrt r?
-1
Let c(j) be the first derivative of 4*j**2 + 18*j - 13. Differentiate c(a) wrt a.
8
Suppose g + 2*z + 6 = -0*g, 2*g - 3*z - 23 = 0. Let s(i) be the second derivative of 0*i**3 + 0 + 2*i + 1/6*i**g - 1/2*i**2. Differentiate s(b) wrt b.
4*b
Let n(c) be the second derivative of -c**7/7 - 5*c**4/12 - 3*c. What is the third derivative of n(a) wrt a?
-360*a**2
Let h(a) = -a**4 - a**3 + a. Let l(s) = 57*s**4 + 3*s**3 - 3*s - 33. Let w(r) = 3*h(r) + l(r). Differentiate w(x) with respect to x.
216*x**3
Let l(y) be the second derivative of -y**9/126 + y**5/20 + y**2/2 - y. Let o(d) be the first derivative of l(d). What is the third derivative of o(g) wrt g?
-480*g**3
Let g(a) = -12*a**3 + a**2 - 7*a + 7. Let c(y) = -6*y**3 + y**2 - 3*y + 3. Let v(p) = 7*c(p) - 3*g(p). Find the third derivative of v(h) wrt h.
-36
Let z(c) be the third derivative of -3*c**2 + 1/105*c**7 + 0 + 1/3*c**3 + 0*c**6 + 0*c**5 + 0*c**4 + 0*c. Differentiate z(p) with respect to p.
8*p**3
Let t = -19 + 18. Let d(q) = 3 + 1 - 6. Let v(g) = -g. Let n(w) = t*d(w) - 2*v(w). Find the first derivative of n(j) wrt j.
2
Let d be -2*(-1 - (-2 + 0)). Let s be d/(-3) + 50/6. What is the third derivative of s - o**5 + 3*o**2 - 9 wrt o?
-60*o**2
Suppose d - 2*j + j = 7, -5*d - 3*j = -3. What is the third derivative of 4*b**2 + 2*b**3 - 2*b**d + 0*b**3 - 4*b**4 wrt b?
-96*b
Suppose -3*o + 2 - 14 = 0. Let d = 2 - o. Find the third derivative of i**6 + i**2 - i**6 + 2*i**d wrt i.
240*i**3
Let g(h) = 14*h**4 - 6. Let n = 25 + -8. Let r(j) = 41*j**4 - 18. Let t(s) = n*g(s) - 6*r(s). What is the first derivative of t(d) wrt d?
-32*d**3
Let h(r) = -4*r**2 + 5*r - 16. Let y(c) = 5*c**2 - 5*c + 18. Let l(b) = -2*h(b) - 3*y(b). Find the first derivative of l(q) wrt q.
-14*q + 5
Find the third derivative of -7*q**5 + 16*q**2 - 2*q**5 - 9*q**5 wrt q.
-1080*q**2
Let c be 40/24 - (-2)/6. Let w(q) be the second derivative of q**2 + 1/3*q**3 + c*q + 0. Differentiate w(y) wrt y.
2
Let j(l) = -l**2 - 2*l. Let z be j(-2). What is the third derivative of 3*u**4 - 3*u**2 + z*u**2 + u**2 wrt u?
72*u
Let i(p) = 4*p + 12. Let z(u) = 2*u + 3 + 2*u + 14 - 6. Let d(x) = -6*i(x) + 7*z(x). Differentiate d(c) with respect to c.
4
Let k(g) be the third derivative of g**9/504 - g**6/90 + 7*g**3/6 + 2*g**2. Let m(i) be the first derivative of k(i). Find the third derivative of m(x) wrt x.
360*x**2
Let h(n) = n**4 - 1. Let l(w) = -12*w**4 - 10*w**2 + 4. Let z(m) = -4*h(m) - l(m). What is the third derivative of z(f) wrt f?
192*f
Let m(l) be the first derivative of -13*l**6/6 - 5*l**3/3 - 11. Find the third derivative of m(v) wrt v.
-780*v**2
Let k be (-30)/4*(-12)/15. Find the second derivative of -r + k*r + r + r - 3*r**2 wrt r.
-6
Let i(f) = -f**3 + 6*f**2 + 7*f + 3. Let p be i(7). Let r(b) = -b**3 - 8*b**2 - 7*b + 3. Let k be r(-7). Differentiate -2*y**2 - p*y**2 + k*y**2 + 1 wrt y.
-4*y
Let x be (-1)/3*(-4)/8. Let q(c) be the second derivative of x*c**4 + 2*c + 1/6*c**3 + 0 + 0*c**2. Find the second derivative of q(g) wrt g.
4
Let o(f) be the second derivative of -f**7/168 - f**6/120 - f**3/6 + 5*f. Let h(p) be the second derivative of o(p). Find the third derivative of h(n) wrt n.
-30
Suppose -y + 3 = 1. Find the third derivative of 0*h**5 + 6*h**2 - 7*h**2 - y*h**5 wrt h.
-120*h**2
Let s(u) be the second derivative of -17*u**6/30 - 13*u**4/12 + 8*u. What is the third derivative of s(l) wrt l?
-408*l
Let j(s) be the first derivative of s**6/3 + 3*s**3 - 4. What is the third derivative of j(a) wrt a?
120*a**2
Let y(z) = -z**2 + 5*z + 8. Let p be y(6). Find the second derivative of 4*v**2 + v**3 - 4*v**p - 3*v wrt v.
6*v
What is the third derivative of 5*x**6 + 5*x**2 - 7*x**6 - 11*x**6 - 12*x**6 wrt x?
-3000*x**3
Let w(l) be the second derivative of -3*l + l**2 + 0*l**3 + 3/20*l**5 + 0 + 0*l**4. Differentiate w(s) wrt s.
9*s**2
Let n(k) = 27*k**4 - 6*k**2 - 17*k + 6. Let s(c) = c**4 - c**2 - c + 1. Let i(h) = n(h) - 6*s(h). Find the second derivative of i(y) wrt y.
252*y**2
Find the first derivative of 5*j**2 - 30 + 32 - 20 + 9*j**2 wrt j.
28*j
Let y(l) be the second derivative of 6*l**3 + 3*l**2 - 17*l. Differentiate y(p) with respect to p.
36
|
{
"pile_set_name": "DM Mathematics"
}
|
d (-t + 0*t - 2*t)*(-2*t**2 - t**2 + 4*t**2) + (-4 - 4 + 5)*(t**3 + 2*t**3 - t**3) + 2*t**3 - 12*t**3 - 9*t**3 + t**2.
-28*t**3 + t**2
Expand ((3 + 3 - 4)*(2 + 2*q - 2) + (-6*q + 4*q - q)*(2 - 1 - 15))*(-3 + 1 + 1).
-46*q
Expand 3*d**5 - 5*d**5 + 0*d**5 - 9*d**4 + 9*d**4 - 25*d**5 + (1 + 0 + 2)*(4*d**5 - d**5 - 2*d**5).
-24*d**5
Expand -a - 6*a + 2*a + (a + 10*a + 3*a)*(0 - 3 - 1).
-61*a
Expand (-d**3 + 4*d**3 - d**3)*(2*d**2 + 3*d**2 - 3*d**2) - 3*d**5 - 4*d**5 + 5*d**5 + 13932 - 154*d**5 - 13932.
-152*d**5
Expand (-l**2 + 4 - 4)*(0*l**3 + 0*l**3 - 4*l**3) - 24*l**3 - 3*l**5 + 24*l**3.
l**5
Expand (0 - 2 + 1)*(-3 + 0 - 1)*(-5*k + 8*k + 20*k).
92*k
Expand (-3 - 2 + 1)*(-162*x**3 + 42*x**2 + 17*x**3 - 43*x**2).
580*x**3 + 4*x**2
Expand (-4*q + 4*q - 2*q**3)*(-5 + 4 + 0) + q**3 - 2*q**3 + 5*q**3.
6*q**3
Expand (182 + 241 - 203)*(0 + 0 - 1)*(-1 + 1 + 3*j).
-660*j
Expand (-1 + 0 - 1)*(-2*j + 4*j - j).
-2*j
Expand (71 - 151*j - 153*j + 306*j)*(-2*j + 1 - 1) + (-2*j + 0*j + j)*(-3*j + 6*j - j).
-6*j**2 - 142*j
Expand (-3*a + 3*a - 2*a)*(-a - 3 + 3) - 2*a**2 + 4*a**2 - 19*a**2 - 3*a**2 - 1 + 11*a**2 - 10*a**2 + (4*a**2 + 2*a**2 - a**2)*(4 - 1 - 5).
-27*a**2 - 1
Expand (-3*o**4 + 12 - 12)*(-4*o + 16 - 16) + (-2*o**3 + o**5 + 2*o**3)*(-1 + 2 + 0).
13*o**5
Expand (2*l**3 - 3*l**3 - l**3)*(-l + l + l) - 4743*l**3 - 4 + 4743*l**3 - l**4.
-3*l**4 - 4
Expand ((3*r - r - 3*r)*(-7 - 2 + 2) + r - r - 14*r)*(1 - 2*r - 1).
14*r**2
Expand (-36 + 57 - 39)*(4*f + 3*f - f).
-108*f
Expand (3*o - o - o)*(-1246 - 33*o + 1246) + (o + 3 - 3)*(-2*o + o - o) + 3 - 3 - 2*o**2.
-37*o**2
Expand (-5*z + 4*z - 4 + 3*z)*(0 + 1 + 1)*(-z + 3*z - 4*z)*(0 + 5 + 12).
-136*z**2 + 272*z
Expand -154*k - 37*k**2 + 154*k + (1 + 7 - 1)*(-1 + k + 1)*(k - 2*k + 3*k).
-23*k**2
Expand (2*o - 2*o + 2*o**2 + (3 - 4*o**2 + 0*o**2 - 4)*(-1 - 2 + 0))*(2 + 3 - 3).
28*o**2 + 6
Expand (-2*n - 2*n**2 + 2*n)*(5*n**3 - 32*n**3 + 8*n**3) - 10*n**5 + 2*n**5 + n**5.
31*n**5
Expand 3*b**4 - b**4 + 3*b**5 - 5*b**5 + (4 - 4 - b)*(-23*b + 23*b - b**4).
-b**5 + 2*b**4
Expand (-45 - 67 - 26)*(3*s - 3*s - 2*s).
276*s
Expand (-7 - 4 - 151)*(4 + 1 - 4)*(-4*s + 3*s + 2*s).
-162*s
Expand -3*h + 0*h**2 - 2*h**2 - h + 3 - 3 + 2*h**2 + (-4*h + 5*h - 2*h)*(2*h + 0*h - h) + h**2 + 2*h**2 - h**2 + (h + h - 3*h)*(0 + 0 - 4*h).
5*h**2 - 4*h
Expand -19*z**2 - 37 + 37 + (-1 + 4 - 2)*(-2*z**2 + 0*z**2 + 3*z**2) + 2*z**2 + 12 - 12.
-16*z**2
Expand (c**3 + 0*c**3 + c**3 + (0*c**3 - c**3 - c**3)*(-1 + 0 + 5))*(-13 - 4 + 29).
-72*c**3
Expand 2 - 3*f - 2 + (2*f + 0*f + 0*f)*(0 - 2 + 4) + (-2 + f + 2)*(-29 + 13 + 23).
8*f
Expand 4*b + b + 0*b + (1 - 1 - 1)*(8*b - 5*b + 8*b).
-6*b
Expand -99*t + 55*t + 48*t - 8*t + t + t + (2 - 3 + 3)*(-4*t + 2*t + t).
-4*t
Expand (-7 + 7 + 3*l**2)*(2*l**2 + 2*l**2 + 0*l**2)*(825 - 34*l - 825).
-408*l**5
Expand (i**3 - i**3 - 2*i**4)*(2 - 4 + 4) + 0*i**3 + i**4 + 0*i**3 - 50*i**4 + 56*i**4 + i**3 + 2*i**3.
3*i**4 + 3*i**3
Expand (5*z - 12*z - 30*z)*(-29*z**2 - 28*z**2 + 8*z**2).
1813*z**3
Expand (-9 - 5*b**2 + 9)*(-13 + 1 - 5)*(-4 + 2 + 1).
-85*b**2
Expand (4 - 4 + 1 + (3 + 0 - 2)*(2 - 2 + 2) + (-4 + 2 + 0)*(-3 + 2 + 0))*(-7*l**4 + l**2 - l**2) + 360*l**3 + 6*l**4 - 360*l**3.
-29*l**4
Expand (1 + 1 + 3)*(3 - 5 + 4)*(-2*f + 3*f + 3*f).
40*f
Expand (-15*p + 25*p - 8*p - 78)*(-2*p + p + 0*p).
-2*p**2 + 78*p
Expand (-1 + 3 - 3)*(9 - 14 - 12)*(4*v**2 - v**2 - 5*v**2 + (2*v - 2*v - 2*v)*(0*v + 4*v - 3*v)).
-68*v**2
Expand (0 - 1 - 1)*(3*z - z + 0*z) - z + z - 2*z - 1400*z - 42 + 1640*z + 42 + 4125*z.
4359*z
Expand (0 + 9 - 1)*(0 + 3 + 0)*(2*r**3 + 3 - r**3 - 1).
24*r**3 + 48
Expand (0*w + 2*w - 3*w)*(8 - 15 + 4).
3*w
Expand (0 + 0 - 1)*(-l + 5*l - 2*l) - 4 + 1 + 7*l - 10*l.
-5*l - 3
Expand (2*x + x**3 - 2*x)*(-384*x + 171*x + 183*x).
-30*x**4
Expand (-2*b + 0*b + 0*b)*(2*b**2 + 4*b - 3*b**2 - 3*b)*((0*b + 2*b - 4*b)*(-1 - 1 + 4) + 2*b - 3*b - 3*b - b + 1 - 1).
-18*b**4 + 18*b**3
Expand (-p + 3*p - 4*p)*(2 + 1 - 2 + (357 - 119 + 147)*(5 - 3 + 0))*(-2 + 4 - 1).
-1542*p
Expand (-6*o - 4*o**2 + 6*o)*(2 + 0 - 4)*(18*o - 16*o + 8 + 4) - 2*o**3 + 4*o**3 + 6*o**3.
24*o**3 + 96*o**2
Expand (4 + 0 - 1 + (0 + 3 - 2)*(-8 + 10 + 1))*(4 + w - 4 + (0*w + 2*w - w)*(0 - 4 + 2)).
-6*w
Expand (-4367 + 2223 + 2232)*(-4 + 0 + 3)*(2*y**5 + 0*y**5 + 0*y**5).
-176*y**5
Expand (-26 + 26 - 49*n + (1 + 2*n - 1)*(5 - 2 - 4))*(-6*n + 6*n + 4*n).
-204*n**2
Expand (-100*i**2 - 212*i**2 - 156*i**2)*(i**3 + 0*i**2 + 0*i**2).
-468*i**5
Expand (2 - 6 + 1)*(-3 - 1 + 2)*(n + 4 - 4)*(-2*n**3 - n**3 + 5*n**3).
12*n**4
Expand ((-3*s - 2*s - s)*(0 - 1 - 1) - 1 + 1 - s + (-3*s + 4*s - 3*s)*(-1 - 3 + 2))*(-3*s + 3*s**2 + 3*s).
45*s**3
Expand (4*r - 59*r + 9*r)*(-2*r**2 + 4*r**2 - 3*r**2).
46*r**3
Expand 3*o**2 + 49*o - 49*o + 13 + (0 + 0 - o)*(3*o - o - o).
2*o**2 + 13
Expand (-8*m + 7*m + 39*m)*(2*m**2 - 4*m**2 + 4*m**2)*(-3*m - m**2 + 3*m) + 2*m**5 + m**2 - m**2.
-74*m**5
Expand s**3 + 5*s**3 - s**3 + (-2 + 2 - 2*s)*(0 + 0 + s**2) + 12*s**3 + 7*s**3 - 14*s**3.
8*s**3
Expand -4*n + n + 2*n + (-5 + 5 - 2*n)*(-5 + 2 + 2) + (3 - 2 + 2)*(2*n + 3*n - 8*n) - 12*n + 5*n + 9*n + (-n - n + n)*(-3 - 3 + 3) + 3*n - 2*n - 2*n.
-4*n
Expand (-3 + 3 - 1)*(-2*n - n + n) + (-n + 0*n + 2*n)*(-4 - 2 + 5) + 3*n + 0 + 0 - 5*n - 7*n - 10*n.
-18*n
Expand (-2*c**4 - c**4 + 5*c**4)*(-1180*c + 0 + 0 + 1547*c).
734*c**5
Expand (0*g - 4*g + 5*g)*(-7 + 3 + 1)*(-33 - 3*g + 33).
9*g**2
Expand (2*p + p - 6*p + (-2*p + 0 + 0)*(0 - 3 + 1) + 13*p + 7 - 7)*(4*p**2 - 2*p**2 - 4*p**2)*(-6*p + p - p + (-2*p + 0*p + 3*p)*(-1 - 1 + 0) + 0*p + 2*p - p).
196*p**4
Expand (2*o + 44*o + o)*(0*o**2 + 4*o**2 - 2*o**2)*(1 + 5 - 4 + (3 + 0 - 1)*(-1 + 4 - 1) - 1 + 3 - 3 - 4 - 1 + 3).
282*o**3
Expand (0*k**2 + 4*k**4 + k**2 - 2*k**4)*(k - 7*k - 15*k + (2 + 1 - 1)*(-26 + 17*k + 26)).
26*k**5 + 13*k**3
Expand (250*n + 82 - 499*n + 250*n)*(-2 + 1 + 0*n + 2*n).
2*n**2 + 163*n - 82
Expand (-2 + 2 + m)*(m**4 + 0*m**3 + 0*m**3) + m + m**5 - m + (3 - 1 + 6)*(3*m**3 - m**3 - 4*m**3)*(-4*m**2 + 5*m**2 + 0*m**2).
-14*m**5
Expand -15*s**3 - 52*s**3 + 38*s**3 - s**3 - s + s + s**2 - 2*s**3 - s**2 + (1 - 4 + 2)*(-2*s**3 - 3*s**3 + 7*s**3).
-34*s**3
Expand ((2*q**2 - 3*q**2 + 0*q**2)*(2*q - 2*q + q) + 4*q**2 - q**3 - 4*q**2)*(849*q - 362*q + 248*q).
-1470*q**4
Expand (3 - 20 - 2)*(-2*a - 3*a + 3*a) + 15*a + 14 - 14.
53*a
Expand (4*i + 7*i**2 - 4*i)*(411*i**2 - 819*i**2 - 3*i + 406*i**2 + 1).
-14*i**4 - 21*i**3 + 7*i**2
Expand (-3*b**4 - 6*b**4 + 3*b**4)*(2 + 0 + 0 + (9 + 12 + 14)*(-3 + 4 + 1)).
-432*b**4
Expand 0*r**2 + r**2 - 3*r**2 + (-1 + 0 + 2)*(-8*r**2 + 35 - 35)*(1 - 1 + 1 - 4 + 1 + 2 + (2 - 2 - 2)*(1 + 0 + 0)).
14*r**2
Expand (-10*u - 80 + 80)*(-2*u**4 + 0*u**4 + 0*u**4) + 9*u**5 - u**5 - 4*u**5 - u**5 + 0*u**5 + 0*u**5.
23*u**5
Expand (-6 + 2 - 2)*(-2*l - 12*l + 0*l).
84*l
Expand (0 - 1 + 3)*(6 - 6 + 4*x) - 26 + 26 - 24*x - 3 + 2*x + 3 + (0 + 1 + 0)*(x - 3 + 3).
-13*x
Expand (l - 2 + 2)*((-6 + 2 + 3)*(-3 + 5 - 3) + 1 + 6 + 0)*(-6 + 4 - 3*l - 2).
-24*l**2 - 32*l
Expand (-3*w**3 + 2*w**3 - 5*w**3)*(-2*w**2 - w**2 + 5*w**2) - 66*w**5 + 240*w**5 + 156*w**5.
318*w**5
Expand (-2*n**4 + 3639 - 3639 + 16*n**3)*(-3 + 3 - n).
2*n**5 - 16*n**4
Expand 4 - 4 - 3*a**2 + a**2 - 2 + 2 - 3*a**2 + 3*a**2 + 3*a**2 + (2 - 2 - a)*(0*a + a - 3*a).
3*a**2
Expand (34*w**3 + 180*w**3 + 132*w**3)*(3*w + 0*w - 2*w)*(1 - 2 - 1).
-692*w**4
Expand (b - 2*b + 4*b)*(-9*b - 20*b + 6*b) + b**2 - b**2 - 2*b**2.
-71*b**2
Expand ((3 + 3 - 7)*(4*q - 5*q + 0*q) + 0 + 0 + q + q + 2*q + 2*q)*(55 + 12 + 67).
938*q
Expand (2 - 2 - 2)*(-i - 1335*i**3 + 1213*i**3 - 2*i).
244*i**3 + 6*i
Expand (-5*s + 4*s - 12*s)*(-3*s**3 - 19 - 2*s**3 + 21).
65*s**4 - 26*s
Expand (4 + 5 - 11 - 6*u)*(-25*u + 25*u - 11*u**4).
66*u**5 + 22*u**4
Expand (3 - 98*t - 5 + 76*t)*(-6 + 2 + 2).
44*t + 4
Expand (3 - 1 + 48)*(3 - 3 + 2*u) + (-2 + 2 + 2)*(u - u + 2*u).
104*u
Expand -19049*x + 19049*x + 309*x**3 + (x**2 + 4*x**2 - 3*x**2)*(-2*x + 4*x - 4*x).
305*x**3
Expand 0 + 0 - d + (-2*d + 5 - 3 + 0)*(-1 - 4 + 6)*(-1 + 12 + 22).
-67*d + 66
Expand -5*x - x + 3*x + (2 + 2 - 3)*(0*x + x + 0*x).
-2*x
Expand (-20 - 23 - 20)*(f**2 - f + f).
-63*f**2
Expand (-a**2 - 5*a**2 - 11*a**2)*(0*a - a - a) - 2*a + 2*a**3 + 2*a - 2*a**3 - a**3 + a**3 + 2*a - a**2 + 4*a**2 - a**2 + 1 + a**3.
|
{
"pile_set_name": "DM Mathematics"
}
|
1)/3
Suppose -4 = -n + 2. Let m = -4 + n. Factor -c**2 + 3*c**2 + m + 0*c**2 + 4*c.
2*(c + 1)**2
Let a be (-74)/45 - (0 - 2). Let o(w) be the second derivative of -8/15*w**5 - 1/18*w**4 + 0 + 1/9*w**3 - 2*w + 0*w**2 + a*w**6. Find y, given that o(y) = 0.
-1/4, 0, 1/4, 1
Factor 56/5*l**2 + 3/5*l**4 + 0 + 16/5*l + 5*l**3.
l*(l + 4)**2*(3*l + 1)/5
Let u(q) = -q**2 + 2*q - 1. Let z(y) = y**3 + 14*y**2 + 14*y + 19. Let b be z(-13). Let w(l) = -9*l**2 + 16*l - 7. Let s(m) = b*w(m) - 51*u(m). Factor s(k).
-3*(k - 1)*(k + 3)
Suppose 8 = -7*j + 9*j. What is v in -15/4*v + 9/4*v**2 + 3/4*v**3 + 3/2 - 3/4*v**j = 0?
-2, 1
Let l = -92 + 94. Factor 1/2*c**2 + l + 2*c.
(c + 2)**2/2
Let w = -1/6 - -5/6. Determine p so that -w - p**2 - 3*p + 4/3*p**3 = 0.
-1, -1/4, 2
What is n in 2/5*n - 2/5*n**3 - 2/5*n**4 + 0 + 2/5*n**2 = 0?
-1, 0, 1
Let l(n) = -n**2 + 3*n + 1. Suppose 4*k - 19 = -7. Let z(g) = -k*g + 5*g - g. Let d(s) = -l(s) + 3*z(s). Let d(c) = 0. Calculate c.
-1, 1
Let w(j) be the third derivative of j**8/5040 - j**6/540 + j**4/72 - j**3 - j**2. Let f(p) be the first derivative of w(p). Factor f(h).
(h - 1)**2*(h + 1)**2/3
Let u = 1 - -1. Factor 4*g**2 - u*g - g**3 - 4*g**3 + 3*g**3.
-2*g*(g - 1)**2
Factor -4/3*k**2 + 0 + 2/3*k - 2/3*k**5 + 4/3*k**4 + 0*k**3.
-2*k*(k - 1)**3*(k + 1)/3
Suppose -10*o + 16 = -6*o. Let k be ((-9)/(-24))/(o/8). Factor -1/2*g + 1/4*g**2 + 0 + k*g**3.
g*(g + 1)*(3*g - 2)/4
Suppose 3*c - 12*k + 16*k + 5 = 0, 0 = 5*c + 3*k - 10. Find z, given that -3/5*z**3 - 3/5*z**4 + 0*z - 1/5*z**2 - 1/5*z**c + 0 = 0.
-1, 0
Let w be 1/(-2)*(3 + -3). Suppose 5*s - 6 - 4 = w. Factor -k - k**2 + k**s + k**2 + 2*k.
k*(k + 1)
Let u(j) = -2*j**2 - 3 + 0 + 3 + 4*j**3. Let g be u(2). Determine r, given that -g*r + 3*r**2 + 8 + 10*r**3 + 4 - 12*r**2 + 17*r**3 = 0.
-1, 2/3
Let c(h) be the first derivative of -10*h**6 + 424*h**5/5 - 280*h**4 + 448*h**3 - 352*h**2 + 128*h - 17. Find x such that c(x) = 0.
2/5, 2/3, 2
Let l(u) = 2*u - 3 - u**4 + u - 2*u**3 + u**2 - u. Let n(i) = 148 + 3*i - i**3 - 149 - 2*i. Let y(s) = 2*l(s) - 6*n(s). Find d such that y(d) = 0.
-1, 0, 1
Let u(v) be the second derivative of 0*v**2 + 0 - 1/10*v**5 + 0*v**3 - v + 1/30*v**6 + 1/12*v**4. Factor u(c).
c**2*(c - 1)**2
Let q = -275/12 + 23. Let p(l) be the third derivative of 0*l + 0 - q*l**4 + l**2 - 1/30*l**5 + 0*l**3. Factor p(v).
-2*v*(v + 1)
Find j such that -3*j**4 - 3*j - 304*j**2 - 3*j**5 + 3 + 6*j**3 - 6 + 310*j**2 = 0.
-1, 1
Let f(i) be the second derivative of 0 + 1/12*i**4 - i - 1/2*i**2 + 0*i**3. Factor f(a).
(a - 1)*(a + 1)
Suppose 0*r - 1125 = -5*r. Find p such that 225 + p**3 - r - p**5 = 0.
-1, 0, 1
Let m(b) be the third derivative of b**5/100 + 3*b**4/40 + b**3/5 - 35*b**2. Find t, given that m(t) = 0.
-2, -1
Let c(h) be the third derivative of -h**8/112 - 3*h**7/70 - h**6/20 + h**5/10 + 3*h**4/8 + h**3/2 - 13*h**2. Factor c(w).
-3*(w - 1)*(w + 1)**4
Suppose -32/3*j + 2/3*j**2 + 128/3 = 0. Calculate j.
8
Solve 2*r**4 + 2*r**5 - 3*r**4 - r**4 + 0*r**5 = 0 for r.
0, 1
Let r be 462/12*(-6)/9. Let t = 27 + r. Find h such that 6*h**3 - 40/3*h**2 + 26/3*h - t = 0.
2/9, 1
Factor 9/2 + 30*q + 50*q**2.
(10*q + 3)**2/2
Factor 0*z**2 - 1/6*z**3 + 0*z + 0 - 2/3*z**4.
-z**3*(4*z + 1)/6
Let g(b) be the first derivative of b**3 - 9*b**2 + 27*b - 17. Factor g(w).
3*(w - 3)**2
Suppose -10*n**2 - 2*n**3 + 7*n**4 + n**4 - 6*n - 6*n**4 = 0. Calculate n.
-1, 0, 3
Let l(w) be the second derivative of -w**9/37800 + w**7/6300 - w**4/4 + w. Let s(t) be the third derivative of l(t). Let s(z) = 0. Calculate z.
-1, 0, 1
Let d(z) be the third derivative of 1/4*z**4 + 9/20*z**5 + 0 + 0*z + 0*z**3 + 2*z**2. Factor d(f).
3*f*(9*f + 2)
Suppose d - 16 = 5*n, -n - 128 = -3*d - 2*d. Suppose 3*t + 4 = -b + 21, -4*t = 3*b - d. What is k in 1/3*k**3 - 1/3*k**5 + 0 - 1/3*k**4 + 0*k + 1/3*k**b = 0?
-1, 0, 1
Let s(f) be the third derivative of -3*f**5/100 + 47*f**4/120 - f**3/3 - 18*f**2. Find c, given that s(c) = 0.
2/9, 5
Let r(j) be the first derivative of -5*j**4/12 + 2*j**3/3 - j**2/6 - 5. Let r(a) = 0. Calculate a.
0, 1/5, 1
Let m(f) be the first derivative of -21*f**4/16 - f**3/4 + 3. Factor m(q).
-3*q**2*(7*q + 1)/4
Let r be 3 - (3/5 + (-94)/(-60)). Let b(l) be the second derivative of -r*l**4 - 4*l**2 + 1/10*l**5 + 8/3*l**3 + 2*l + 0. Factor b(m).
2*(m - 2)**2*(m - 1)
Let l(y) be the second derivative of 3*y - 1/4*y**4 - 2*y**3 + 0 - 6*y**2. Factor l(s).
-3*(s + 2)**2
Let a(o) = 18*o**3 - o**2 + 7*o + 6. Let b(q) = 17*q**3 - 2*q**2 + 6*q + 5. Let i(p) = 5*a(p) - 6*b(p). Find d such that i(d) = 0.
0, 1/4, 1/3
Factor -3/5*f**5 + 3/5*f**3 + 0 + 0*f - 3/5*f**2 + 3/5*f**4.
-3*f**2*(f - 1)**2*(f + 1)/5
Let i(k) be the first derivative of 1/8*k**4 + 1/3*k**3 - 3/4*k**2 + 0*k - 1. Factor i(t).
t*(t - 1)*(t + 3)/2
What is w in 20/3*w**4 - 4/3 - 16/3*w**2 - 8/3*w**5 - 8/3*w**3 + 16/3*w = 0?
-1, 1/2, 1
Let v(o) be the second derivative of -o**7/63 - o**6/45 + o**5/30 + o**4/18 - 4*o. Factor v(b).
-2*b**2*(b - 1)*(b + 1)**2/3
Determine m so that 125/3*m**4 - 180*m**2 - 32/3 + 350/3*m**3 + 232/3*m = 0.
-4, 2/5
Let j(c) be the first derivative of 27/4*c - 9/4*c**2 + 4 + 1/4*c**3. Find o such that j(o) = 0.
3
Let d = -19 + 19. Factor 4/5 + 2/5*c**3 - 6/5*c + d*c**2.
2*(c - 1)**2*(c + 2)/5
Let s(u) be the first derivative of -2*u**6/3 - 4*u**5/5 + 3*u**4 + 20*u**3/3 + 4*u**2 + 8. Find r such that s(r) = 0.
-1, 0, 2
Let y(t) be the third derivative of t**6/360 + t**5/90 - t**4/24 + 17*t**2. Solve y(g) = 0.
-3, 0, 1
Suppose -5*t - 19 = -5*z - 2*t, 4*z - 2*t = 14. Solve 27 + 3*k**z + 4*k - 18*k - 4*k = 0.
3
Let q(f) be the first derivative of -f**4 - 4*f**3/3 + 10*f**2 - 12*f + 16. Factor q(t).
-4*(t - 1)**2*(t + 3)
Let r(i) be the third derivative of i**5/15 + i**4/3 + 12*i**2. Factor r(z).
4*z*(z + 2)
Let i(u) be the second derivative of -u**5/15 + u**4/9 + 4*u**3/9 - 14*u. Determine t, given that i(t) = 0.
-1, 0, 2
Let v = 59/114 - 1/57. Factor -1/4*g**2 + 0 + 1/4*g**3 - v*g.
g*(g - 2)*(g + 1)/4
Find q, given that -9*q**4 + 22*q - 21*q**2 + 12 - 65*q + 31*q + 30*q**3 = 0.
-2/3, 1, 2
Let w(f) be the second derivative of -3/8*f**4 - 1/20*f**5 + f**2 - f**3 - 3*f + 0. Let n(m) be the first derivative of w(m). Factor n(g).
-3*(g + 1)*(g + 2)
Let w(h) be the first derivative of h**6/270 - h**5/120 - h**4/72 - 5*h**3/3 + 4. Let m(x) be the third derivative of w(x). Factor m(y).
(y - 1)*(4*y + 1)/3
Suppose a**2 + 0*a**2 - a**4 + 144*a + 0*a**4 - a**3 - 143*a = 0. What is a?
-1, 0, 1
Let w(c) = c**2 - c. Let s be w(2). Factor -12*d + 4 - 5 + 9 + 4*d**s.
4*(d - 2)*(d - 1)
Let i be (-3 - -4 - 7)*(-1)/2. Let l(u) be the first derivative of 1/2*u - i + 1/2*u**2 + 1/6*u**3. Factor l(j).
(j + 1)**2/2
Let y(u) be the second derivative of 1/20*u**5 + 0*u**3 - 1/42*u**7 + 0 + 0*u**2 - 1/12*u**4 + 1/30*u**6 + 3*u. Factor y(a).
-a**2*(a - 1)**2*(a + 1)
Suppose 21 = 3*g - 4*j, -g - j = 3*g - 9. Factor -12 - 4*h**2 + g*h**3 - 3*h - 6*h**2 - 5*h**2 + 27*h.
3*(h - 2)**2*(h - 1)
Let z(r) = 2*r**2 + 3*r + 3. Let g be z(-2). Suppose 6*n + g*i = 3*n + 10, -4*i = n - 1. Find u, given that 3*u**4 + 5*u**4 + u**3 - n*u**4 = 0.
-1/3, 0
Let w = 0 + 3. Factor -4*k**5 + 8*k**5 - k**4 + w*k**4 + 2*k**4.
4*k**4*(k + 1)
Let d(u) be the first derivative of u**3 - 3*u - 11. Factor d(t).
3*(t - 1)*(t + 1)
What is y in 11/7*y**2 - 4/7 - 25/7*y**4 + 12/7*y - 30/7*y**3 = 0?
-1, 2/5
Let i be (1 - (-21)/(-9)) + -1 + 3. Factor 0*s**3 + 0 + i*s**2 + 0*s - 2/3*s**4.
-2*s**2*(s - 1)*(s + 1)/3
Let x be 12/54 + (-300)/(-108). Find d, given that 4/3*d**2 + 1/3*d - 2/3 + 1/3*d**5 - 2/3*d**x - 2/3*d**4 = 0.
-1, 1, 2
Determine c, given that 1/7*c**2 + 6/7 + c = 0.
-6, -1
Let r = 150 - 73. Let d be 1/(-2) - r/(-66). Let -4/9*x**4 - 2/9*x + d*x**2 - 2/9 + 2/9*x**3 = 0. Calculate x.
-1, -1/2, 1
Let r(l) = l**3 + 1. Let k(m) = -5*m**3 - 2*m**2 + 2*m - 1. Let b(d) = -2*d**2 - 8*d + 7. Let g be b(-5). Let o(y) = g*r(y) - k(y). Factor o(u).
2*(u - 1)*(u + 1)**2
Let i be -1 - -2 - 60/64. Let h(y) be the first derivative of 0*y + 1/24*y**6 + 0*y**3 + 1/10*y**5 - 2 + i*y**4 + 0*y**2. Factor h(l).
l**3*(l + 1)**2/4
Let b = -50/19 + 502/133. What is d in 1/7*d**3 - 4/7 + b*d - 5/7*d**2 = 0?
1, 2
Factor -41425*c**2 - 20495*c**3 + 7106*c - 1681 - 3815*c**4 - 819 - 245*c**5
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{
"pile_set_name": "DM Mathematics"
}
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- 4*t**4 + 2*t**4. Let i(g) = -7*g**4 + 5*g - 7. Let y(l) = 5*b(l) + 2*i(l). What is the first derivative of y(h) wrt h?
4*h**3
Suppose 2*t = -t. Suppose -2*z = g + z - 8, -3*g + 4*z - 2 = t. What is the second derivative of 2*s**3 + g*s - 2*s**3 - 2*s**4 wrt s?
-24*s**2
Let j(r) be the first derivative of 6*r**5/5 + 3*r - 1. Differentiate j(f) with respect to f.
24*f**3
Suppose a + 4*d - 6 = 3*d, -a + 18 = 4*d. Let i(u) = 11*u**2 + 24. Let w(q) = -3*q**2 - 6. Let t(z) = a*i(z) + 9*w(z). Find the first derivative of t(j) wrt j.
-10*j
Let c(f) = -25*f**3 - 6*f**2 - f - 6. Let q(r) = -r**3 - r**2 - 1. Let k(m) = -c(m) + 6*q(m). What is the second derivative of k(p) wrt p?
114*p
Let o(i) = -i - 9. Let b be o(-13). Differentiate -4 + b + p**4 - 1 wrt p.
4*p**3
What is the third derivative of -125*p**3 + 125*p**3 + p**2 + 4*p**4 wrt p?
96*p
Let q(b) be the first derivative of -4*b**3/3 - 6*b - 1. Find the first derivative of q(s) wrt s.
-8*s
Let t be (10/(-4))/((-1)/(-2)). Let n = t + 8. Find the first derivative of n*m**2 - 7*m - 2 + 7*m wrt m.
6*m
Suppose 0 = -4*u + 2*u + 8. Suppose a - 13 = 3*q, -2*a + 6 + 12 = -u*q. What is the second derivative of a + 1 + 2*g**3 + 3*g - 2 wrt g?
12*g
Find the third derivative of 11*v + 8*v - 20*v**2 - 2*v**5 - 19*v wrt v.
-120*v**2
Suppose 3*s = -2*s + 3*n - 15, -5*s - 15 = -2*n. Let r be (4 - 1)/(s/(-4)). What is the third derivative of -2*p**r + p**2 - 2*p - p**4 + 2*p wrt p?
-72*p
Suppose 5*u = -5*j + 35, -3*u + j + 18 = u. Differentiate -7*z**3 + 5*z**3 - z**3 - 7 + u*z**3 with respect to z.
6*z**2
Let n(f) be the second derivative of -f**6/30 - 5*f**3/2 - 23*f. Find the second derivative of n(j) wrt j.
-12*j**2
Suppose -2*v = 4*p + 10, 5*p + 8 = -3*v - v. Let u(f) = -f**3 - 5*f**2 - 5*f - 1. Let d be u(p). Find the first derivative of 1 - 7*z - z**d + 7*z wrt z.
-3*z**2
Let g be 6/10 + (-34)/(-10). Find the third derivative of 0*y**2 + g*y**4 - 9*y**4 - 2*y**2 wrt y.
-120*y
Let b = 8 + -6. What is the third derivative of -3*t**3 - 3*t**b + t**3 + 7*t**2 wrt t?
-12
Let n(s) be the first derivative of 5*s**4/2 - s**3/3 - 7. What is the third derivative of n(x) wrt x?
60
Let f(b) = -6*b**4 - 6*b**3 + 3*b + 6. Let j(k) = -k**5 - 13*k**4 - 13*k**3 + 7*k + 13. Let o(x) = -13*f(x) + 6*j(x). Find the second derivative of o(s) wrt s.
-120*s**3
Let f(p) be the third derivative of 0*p**3 - 1/30*p**5 + 0 + 1/6*p**4 + p**2 + 0*p. Find the second derivative of f(j) wrt j.
-4
Let k(y) be the first derivative of -y**2 + 5*y - 5. What is the derivative of k(t) wrt t?
-2
Let v(r) be the second derivative of 0*r**5 + 0 + r + 0*r**3 + 1/30*r**6 + 0*r**4 - 2*r**2. What is the derivative of v(i) wrt i?
4*i**3
Suppose -9 = 2*b - 3*b + 3*d, d = 4*b - 36. Suppose 0*f + f = 2*o - b, -21 = 2*o + 5*f. Differentiate o*n**2 + 17*n - 4 - 17*n with respect to n.
4*n
What is the second derivative of -14*x - 2*x**3 + x**3 + 14*x**3 wrt x?
78*x
Let p(n) = -3*n**4 + 2*n**2 + 3*n. Let o(q) = q**6 + q**4 - q**2 - q. Let r(b) = -6*o(b) - 2*p(b). What is the third derivative of r(d) wrt d?
-720*d**3
Suppose 2*g + 6 - 30 = 0. Suppose -3 + g = 3*d. Find the third derivative of 2*c**2 - c**2 + 2*c**d - 5*c**3 + c**2 wrt c.
-18
Let d be 6 - (6 + -4 + 2). What is the first derivative of -77*t**d + 2 + 77*t**2 - 11*t**3 wrt t?
-33*t**2
Find the third derivative of 10*v**4 - 3*v**2 - 2*v**4 + 0*v**4 wrt v.
192*v
Let l(z) be the third derivative of 13*z**9/168 + z**5/30 - z**4/12 - 50*z**2. What is the third derivative of l(n) wrt n?
4680*n**3
Let w(o) = 13*o**3 + 11*o**2 + 7*o - 11. Let p(j) = -7*j**3 - 6*j**2 - 4*j + 6. Let r(a) = 11*p(a) + 6*w(a). Find the second derivative of r(n) wrt n.
6*n
Let t(y) be the second derivative of -11*y**7/42 - 5*y**4/6 - y**3/6 + 14*y. Find the third derivative of t(n) wrt n.
-660*n**2
Let f(q) be the third derivative of 0 - 1/30*q**5 - 1/168*q**8 + 0*q**3 + 0*q**4 + 0*q**7 + 0*q**6 + 0*q - 3*q**2. Find the third derivative of f(t) wrt t.
-120*t**2
Let z(v) be the second derivative of -v**6/20 - v**4/8 + v**2 - 5*v. Let r(m) be the first derivative of z(m). What is the second derivative of r(s) wrt s?
-36*s
Let j(p) = -4*p**4 + 2*p**3 + 9*p**2 - 2*p. Let z(l) = l**3 - l**2 - l. Let x(q) = -j(q) + 2*z(q). Find the third derivative of x(i) wrt i.
96*i
Let a(r) = 5*r**2 - r - 4. Let i(q) = -q**2 + q + 1. Let d(w) = -a(w) - 4*i(w). Find the second derivative of d(p) wrt p.
-2
Let l(v) be the third derivative of -1/6*v**3 + 0*v + 0*v**5 + 0 - v**2 + 1/40*v**6 + 0*v**4. What is the derivative of l(s) wrt s?
9*s**2
Let t(f) be the third derivative of 0*f**3 + 0*f**4 - 2*f**2 - 1/42*f**7 - 1/60*f**5 + 0 + 0*f + 0*f**6. Find the third derivative of t(l) wrt l.
-120*l
Let f(w) = 9*w**3 - 6*w**2 + 7*w - 7. Let c(r) = 4*r**3 - 3*r**2 + 4*r - 4. Let b(n) = 7*c(n) - 4*f(n). What is the third derivative of b(s) wrt s?
-48
Let u be (6/(-5))/(3/(-10)). Find the first derivative of 4 + 0 + 2*j**4 + 4*j**u - 2 wrt j.
24*j**3
Suppose -12 - 9 = -3*u. Find the second derivative of -u*d**3 + 3*d + 6*d**3 + 0*d wrt d.
-6*d
What is the first derivative of 2 - 6*g**2 - 14 - 5*g**2 + 5*g**2 wrt g?
-12*g
Let b(q) be the third derivative of q**7/840 + q**5/24 + q**3/6 - 7*q**2. Let z(d) be the first derivative of b(d). What is the second derivative of z(o) wrt o?
6*o
Let g = -1 - -2. Suppose 6 - 15 = -3*a. What is the derivative of -g - m**a - 1 + 4*m**3 wrt m?
9*m**2
Find the second derivative of -7*h**5 - 11*h**4 - h + 8*h**4 + 3*h**4 wrt h.
-140*h**3
Let a(p) = p**2 - p. Let c(j) = 4*j**2 + 4*j. Let q(n) = a(n) - c(n). What is the second derivative of q(g) wrt g?
-6
Let w(l) be the third derivative of -7*l**7/30 - 19*l**3/6 + 22*l**2. Differentiate w(p) wrt p.
-196*p**3
Suppose 3*z = 2*z - 0*z. Let f(a) be the second derivative of 0*a**3 + z - 1/12*a**4 - 3*a + a**2. What is the derivative of f(n) wrt n?
-2*n
Let u be (0 + 2)*3/2. Let y(g) = 2*g**3 - 3*g**2 - 1. Let w(h) = 2*h**3 - 4*h**2 - 2. Let i(l) = u*w(l) - 4*y(l). What is the first derivative of i(s) wrt s?
-6*s**2
Let w(z) be the first derivative of -z**5/30 - 5*z**4/24 - z**3/3 + 4. Let h(a) be the third derivative of w(a). Differentiate h(s) with respect to s.
-4
Let j(n) be the first derivative of -n**7/210 - 2*n**3/3 + 3*n**2/2 + 2. Let m(d) be the second derivative of j(d). Differentiate m(i) with respect to i.
-4*i**3
Let i(z) = -2*z**4 - 2*z**3 + 2*z**2 - 2*z + 9. Let d(a) = -a**4 + a**3 - a**2 + a. Let o(h) = -2*d(h) - i(h). Differentiate o(y) with respect to y.
16*y**3
Suppose -b - 2*b + 9 = 0. Let x = b - 2. What is the derivative of 2*r + 0*r - x - 3 + 6 wrt r?
2
Let x = -7 + 9. Let f(c) = c + 3. Let p(d) = 3*d + 7. Let v(j) = x*p(j) - 5*f(j). Differentiate v(w) wrt w.
1
Suppose 265 = 5*g + v, 0 = 3*v + 6 + 9. What is the second derivative of 0*m**3 + g*m - 3*m**3 - 46*m wrt m?
-18*m
Differentiate -d**2 - 7 - 5*d**2 + d**2 wrt d.
-10*d
Let o = -6 + 10. What is the second derivative of -5*t**3 + 4*t**2 - 4*t**2 - o*t + 10*t**3 wrt t?
30*t
Suppose -4*k - 3 = 3*p, 2*p + 0 = -2. Differentiate 2*n**2 + n**2 + 0*n**2 + k*n**2 + 2 wrt n.
6*n
Let a(u) = -6*u**5 - 6. Let l(q) = -q**2 + 1. Let y(b) = a(b) + 6*l(b). What is the third derivative of y(z) wrt z?
-360*z**2
Let u(t) be the second derivative of -3*t + 0*t**3 + 1/12*t**4 + 0*t**2 + 0 + 3/20*t**5. What is the third derivative of u(o) wrt o?
18
Let q(s) = -9*s**3 - s + 5. Let c(a) = 5*a**3 + a - 2. Let g(w) = 5*c(w) + 2*q(w). Find the second derivative of g(x) wrt x.
42*x
Let g(c) be the first derivative of c + 2 - 1/2*c**4 + 0*c**2 + 0*c**3. Differentiate g(o) with respect to o.
-6*o**2
Let c(g) = -g**2 + 4*g + 3. Let t = 10 - 6. Let k be c(t). What is the second derivative of v**3 - k*v**2 - v**2 + v + 4*v**2 wrt v?
6*v
Let l be ((-5)/(-2))/(3/6). Suppose -2*c + 18 = 4*r, -4*c + 30 = c + l*r. What is the derivative of 3 + 6*g**3 - 2 - 4*g**c wrt g?
6*g**2
Let q(p) = -2*p - 7. Let b be q(-5). What is the derivative of 3*l**3 + 2*l**3 + 3 + l**3 - 3*l**b wrt l?
9*l**2
Let j = 4 - 1. Let o be j*((-2)/3)/(-1). Find the second derivative of n**5 - 2*n + o*n + n wrt n.
20*n**3
Let n(c) = 4*c**2 + c. Suppose -5 = 6*v - v. Let u be n(v). Find the second derivative of -2*b**5 - 7*b**3 + 7*b**u - 3*b wrt b.
-40*b**3
Let q(a) be t
|
{
"pile_set_name": "DM Mathematics"
}
|
give d.
105
Express 37 - 17 + 62*t - 19 as x*t + y and give x.
62
Express (5*c - 25*c + 10*c)*(2 + 0 - 1)*((-3 + 2 + 3)*(c + 0 + 0) + 4 - 4 + c) as q*c + h + z*c**2 and give z.
-30
Rearrange (-2 + 2 + 2*b)*(8 - 5 - 330*b - 229*b - 118*b) to w + h*b + t*b**2 and give t.
-1354
Rearrange -25*a**4 + 13 - 12 - 28*a**4 + 80*a**4 - 25*a**4 - 5*a to k*a**4 + d*a + x*a**2 + j*a**3 + u and give u.
1
Express (5 + 3 - 2)*(-4*m**2 + 2*m**2 - 5*m**2) + 16*m**2 - 13*m**2 + 23*m**2 in the form r*m + f + z*m**2 and give r.
0
Express -2*j**2 - 4*j**2 + 3*j**2 + 0*j + 2*j**2 + 0*j - 2*j**2 - j**2 + 7*j**2 + (-1 + 2 - 2)*(-j**2 + j**2 - 2*j**2) in the form a*j + o*j**2 + f and give f.
0
Express 3*h**2 + 14*h - 14*h + (0 - 2 + 0)*(-2*h**2 + 0 + h + 0) + (h - 7*h - 4*h)*(-2 - 2*h + 2) in the form r*h + n*h**2 + o and give r.
-2
Rearrange (-1 - 1 + 1)*(0*n - 2*n + n) + (-1 + 1 - 2*n + (3 - 3 - 1)*(4*n + n - 2*n) - 9*n + 48 - 48)*(3 - 11 + 7) to the form r + m*n and give m.
15
Rearrange 170*x**3 - 2 - x + 168*x**3 - 21*x**2 - 493*x**3 + 162*x**3 to the form t + k*x**2 + v*x + l*x**3 and give v.
-1
Rearrange -167 - 326*y - 1653*y + 337 - 170 to the form j*y + m and give j.
-1979
Rearrange -2 + 4*q**3 + 839*q + 21*q**3 + q**2 - 840*q + 2*q + q**3 - 2*q + (-5*q + 3*q - 5*q)*(-q - q**2 + q) to the form s*q**2 + y + t*q + c*q**3 and give c.
33
Express -145*y**2 + 3*y**3 + 146*y**2 - y + 0*y**3 in the form v + g*y + d*y**2 + h*y**3 and give h.
3
Express 403*i + 754*i + 158*i in the form w + o*i and give o.
1315
Express 8*t**2 - 7*t**2 - 6 + t**3 + 7*t**4 + 4*t**2 - 10*t**2 + 6*t**2 as h*t + j*t**2 + o + p*t**4 + y*t**3 and give o.
-6
Rearrange -24 - 21 - 2*t**2 + 57 - 3*t**3 + t**3 to r + k*t + o*t**3 + f*t**2 and give r.
12
Rearrange -2*h**2 - h - 39*h + h**3 + 48 - 48 to o*h**3 + r + y*h + j*h**2 and give o.
1
Rearrange -22*m + 14*m**2 - 55*m**2 + 21*m**2 + 21*m**2 + 9 to j + r*m + l*m**2 and give r.
-22
Express (-2*n - 3*n + 3*n)*(3 - 5 - 1) - n + 2*n + 0*n - 4*n + 6*n + 9 - 1 as l + k*n and give l.
8
Express -x**2 - 4*x**3 + x**3 + x**3 - 5*x + 6 - 2 as n*x**3 + c*x + g*x**2 + s and give g.
-1
Rearrange -134*z + 240*z + 242*z + 600*z + 94*z to o*z + s and give o.
1042
Rearrange 328*t**2 + 194*t**2 - 314*t**2 + 353*t**2 to the form k + i*t**2 + l*t and give i.
561
Rearrange 0*d + d**4 + d - 2 + 3*d**2 + 270*d**3 - 274*d**3 to s*d + i*d**4 + r + k*d**2 + b*d**3 and give k.
3
Rearrange 3*m - 79*m**2 + 4 + 33 + 77*m**2 to the form f*m + r + b*m**2 and give f.
3
Express 15*u**4 - 9*u**4 - 3*u**3 + 6*u**4 - 2 in the form y*u**2 + b + o*u + r*u**4 + g*u**3 and give r.
12
Rearrange 5*b**3 - 114*b**2 + 227*b**2 - 113*b**2 - 15 - 3*b**4 to the form c*b**4 + n*b**2 + g*b**3 + f*b + w and give g.
5
Rearrange -3*d**3 + 14*d**2 + 11*d**2 - 31*d**2 - 2 to the form c*d**2 + n*d + t*d**3 + y and give t.
-3
Express (0 + 0 + 1)*(-3*k**4 + k**4 + 4*k**4) + 4*k**4 - 2*k**4 + 0*k**4 - 76*k**4 - 8*k**4 - 74*k**4 as m*k**2 + r + g*k + a*k**3 + h*k**4 and give h.
-154
Express -30*m**2 + 4 + 10 - 356*m**2 - 2 - 11 in the form w*m + h + b*m**2 and give h.
1
Rearrange 67*o**2 - 5 + 31*o**3 - 110*o**2 - 28*o**3 to g*o + l*o**3 + p + t*o**2 and give p.
-5
Express (4*d**2 + 3 - 3 + 4*d**2 - d**2 - d**2 + (4*d**2 - d**2 - 4*d**2)*(0 - 2 + 0))*(-5*d + 11*d + 2 + 2*d) in the form f + z*d + q*d**3 + u*d**2 and give u.
16
Rearrange -2 + 4*u**2 + 2 - 2 - u - 6 - 2*u**2 + 5*u**3 to j*u**3 + r*u + l + v*u**2 and give l.
-8
Rearrange x**3 + 17*x - 10*x**2 - 2*x**4 + 15*x - 40*x + 10*x to the form d*x + n*x**4 + q*x**2 + f*x**3 + m and give f.
1
Express 5*v**4 - 2*v**4 + 2*v**4 + (1 + 4 - 3)*(7*v - 5 + 5)*(v**3 + v**3 + 0*v**3) in the form j + g*v**4 + q*v + h*v**3 + y*v**2 and give g.
33
Express -8*c**2 - 3*c**2 + 9*c + 3 + 16*c**2 in the form x + w*c**2 + v*c and give x.
3
Express (148 - 37 - 37)*((-3*h - 3*h + 5*h)*(-1 - 1 + 3) + 2 + 2*h - 2) + 4*h + 4*h - 7*h as j*h + x and give j.
75
Express -14 + 14 - 99*g + 38*g in the form b*g + i and give b.
-61
Express (7*a**2 + 2*a**2 - a**2)*(a - 9*a - 20*a) in the form f*a + d*a**3 + w*a**2 + o and give f.
0
Express -42*f - 38*f - 30 + 79*f in the form a*f + n and give n.
-30
Rearrange (5 - 5 + 2*t)*(-3*t + 6*t + 0*t) + (3*t + 4*t - 5*t)*(4*t - 2*t + 0*t) + 63 - 63 - 49*t**2 to the form z*t + f + m*t**2 and give m.
-39
Express -2*x**4 - 18*x**3 + 8*x**3 - x**4 + (1205*x**2 - 1203*x**2 + 2*x**4 + x**4)*(0 - 3 + 5) in the form q*x**4 + t*x + p*x**3 + l*x**2 + b and give t.
0
Rearrange 207 + s - 6*s - 60 + 3*s + 37 to the form o*s + c and give c.
184
Rearrange (3*g**4 - g**4 + 3*g**4)*(-8 + 48 + 24) to the form h*g + j*g**4 + i*g**3 + d + t*g**2 and give j.
320
Express 22*q + 404*q - 66*q in the form p + u*q and give u.
360
Rearrange (3*y - 4*y + 3*y)*(745 + 1457 - 2950) to the form m + r*y and give r.
-1496
Express -f**2 + 41 - 9*f**2 + 7*f**2 in the form h + p*f**2 + q*f and give h.
41
Express (6*a - a - 4*a)*(-18 + 3 + 6) + 3 - 6*a - 3 as r + b*a and give b.
-15
Express (-3 + 3 + a + 11 - 11 - 10*a + (3*a - 6*a + 4*a)*(1 + 1 - 4))*(a - a - 5*a)*(0*a + a - 2*a) as z*a + h*a**3 + p + s*a**2 and give p.
0
Rearrange -z**2 + 402 - 78 - 3*z**2 + 2*z**2 + 17 to x*z + v + h*z**2 and give h.
-2
Rearrange -3*u + 3*u - u + 3 - u - 12*u**3 + u to the form o*u**2 + q + f*u**3 + j*u and give q.
3
Rearrange -v**3 - 7*v**3 + v**3 + (-v**2 + 3*v**2 - v**2)*(3 + 2*v - 3) + 10*v**3 - 5*v**3 - v**3 to r*v**2 + c*v**3 + z + f*v and give c.
-1
Express -2*r - 9*r - 81 + 9*r in the form n + u*r and give n.
-81
Rearrange ((7 + 3 + 2)*(-5 + 6 + 0) + (-5 + 2 + 1)*(0 + 1 - 3))*(339*i - 339*i + 137*i**2) to h*i**2 + m*i + a and give h.
2192
Rearrange 1578 - 2*r - 7*r**2 - 787 - 791 to the form t*r + j*r**2 + h and give t.
-2
Rearrange -21*o**2 - 26*o**3 - o**4 + 20*o**2 + 30*o**3 - 14 to the form l*o**4 + z*o**3 + x*o + s + i*o**2 and give z.
4
Express u**2 + 22*u**2 + 6 + u**2 + 9 as w*u**2 + j + q*u and give j.
15
Express -90*s - 181*s**2 - 94*s - 87*s + 269*s as d + l*s + i*s**2 and give l.
-2
Rearrange -358*v**2 + 150*v**2 - v + 153*v**2 to the form o*v**2 + k*v + p and give k.
-1
Express -30 - h**2 + 17 + 5*h + 16 as c*h + y + o*h**2 and give c.
5
Rearrange 7 + 68*z - 7 + (-24*z + 12*z - 3*z)*(4 - 1 - 2) to a*z + o and give a.
53
Express 118*t**2 + 120*t**2 - 28*t**2 - 2 + 67*t**2 + 24*t**2 as d*t**2 + a + b*t and give d.
301
Express 13*p**2 + 48 + 51 + 5*p**3 - 149 + 52 as t*p**3 + g*p**2 + u*p + y and give t.
5
Express (-p + 3*p + p)*(-50*p + 118*p - 50*p - 86*p) in the form w + a*p + z*p**2 and give z.
-204
Express (6755*k + 2*k**4 - 6755*k + 238*k**2)*(2 - 4 + 0) in the form r*k + h + q*k**3 + v*k**4 + g*k**2 and give v.
-4
Rearrange 2*b**2 + b**3 + 3*b + 12733 - 12736 + 7*b**2 to p + g*b**3 + q*b + o*b**2 and give p.
-3
Rearrange (0*u**3 - 3*u**3 + 0*u**3)*(-3 + 18 + 287) to x*u + r + v*u**2 + i*u**3 and give i.
-906
Rearrange -41*j + 70 + 69*j - 27*j to o + y*j and give o.
70
Rearrange 4*d**3 - 3*d**2 + 323 + 12*d**3 - 323 to h + l*d**2 + r*d**3 + x*d and give r.
16
Rearrange (1 - 1 - 2*j**3)*(-22 - 19 + 28 + (0 - 4 + 3)*(0 + 0 - 2) + 2 + 10 - 2) to the form x*j**2 + w*j + t*j**3 + c and give x.
0
Rearrange 2 - 34*f + 562*f**2 - 6 - 560*f**2 to the form w*f**2 + l*f + g and give g.
-4
Rearrange 19 + 5*w + w + w - 16 - 12 to s*w + c and give c.
-9
Express -22*w**3 - 6001*w + 4 + 6001*w as o*w + u + t*w**3 + g*w**2 and give t.
-22
Rearrange 12*a**2 + 2*a**3 - 2*a + 3 + 4*a**2 - 1 - a**4 + 0*a**4 + 3*a to s*a + i*a**2 + g*a**3 + x + b*a**4 and give b.
-1
Rearrange 227*s - 227*s + 7*s**3 - s**2 - 30*s**3 to the form k*s**3 + h + u*s**2 + w*s and give k.
-23
Rearrange -n + 4 - 4 + 0*n - n + 0*n + (n - n - n)*(3 - 2 - 3) - 2*n + n + 3*n + 12 + 6*n + 9*n - 14*n to x*n + d and give x.
3
Express 0*p**3 + 101*p - 7 - 36*p**3 - 101*p in the form i + q*p + s*p**3 + d*p**2 and give s.
-36
Rearrange -37*q**2 - 9*q + 35*q**2 + q + (83 - 42 - 35)*(0*q**2 - 2*q**2 + 0*q**2) to the form z*q + j*q**2 + r and give z.
-8
Express (v**2 - 5 + 5)*(-2 - 1 + 2) + 3*v**2 + 5*v**2 - 5*v**2 + 3*v**2 + 0*v**2 + 28 - 29 - 2*v**2 - v**2 - 3*v**2 in the form b + d*v**2 + n*v and give b.
-1
Express b**2 - 13*b - 2 + 4*b**4 - 14*b**4 + 9*b**4 + 3*b**4 as t*b**4 + m + z*b**3 + v*b**2 + x*b and give v.
1
Rearra
|
{
"pile_set_name": "DM Mathematics"
}
|
k)*(-7 + 11 - 23)*(3*k - k - 3*k)*(2 - 2 - 2) to the form y*k**3 + f*k**4 + i + z*k + n*k**2 and give f.
76
Express -23 + w**2 + 341 - 27 - 120 as g*w**2 + v + c*w and give v.
171
Express -6*j - 3*j + 7*j + (-8 + 2 - 9)*(-1 - 2*j + 1) as c*j + k and give c.
28
Rearrange (5 - 5 - 4*r - 3 - 2*r + 3 + (0*r + r + r)*(1 - 1 + 2))*(17 - 40 - 17) to p*r + s and give p.
80
Rearrange 91*t - 105*t + 4 - 2 + (-4 - 5*t + 4)*(-3 + 5 - 4 + (-4 + 2 - 1)*(1 + 2 - 5)) to m + d*t and give d.
-34
Express 337*l + 412*l - 676*l as h + p*l and give p.
73
Rearrange -8*b**4 - 203*b - 2*b**3 - 384 + 209*b + 382 to s*b**2 + h + o*b**3 + w*b**4 + t*b and give s.
0
Express -301*c + 9311 - 9311 - 406*c in the form b*c + k and give b.
-707
Rearrange -291*r + 144*r - 4*r**4 + r**3 + 190*r to the form q*r**3 + c*r**4 + o*r**2 + f*r + h and give f.
43
Express -84*o**2 + 93*o**2 + 143*o**2 + 97*o**2 + 18*o**2 in the form n*o**2 + y*o + s and give n.
267
Rearrange 111*w + 5 - w**4 - 3 - 109*w + w**3 - 4 to the form h*w + x*w**2 + m + l*w**3 + a*w**4 and give a.
-1
Express (17*z**2 - 17*z**2 + 101*z**3)*(-2*z + 3 - 3 + (5*z - z - 5*z)*(3 - 2 + 1) + 2*z + z - z) as h*z**4 + i + w*z**3 + x*z**2 + v*z and give h.
-202
Rearrange -89*d**4 + 180*d**4 - 3*d**2 - 16*d**3 - 90*d**4 to s*d**3 + x*d + f*d**4 + q*d**2 + t and give f.
1
Rearrange (3 - 8 + 2)*(-2 + 2 + 3)*(-14*l + 114 - 114) to the form p*l + o and give p.
126
Express -7*z + 1522 - 775 - 760 as m*z + d and give m.
-7
Rearrange 23 - 21 + 5*p + 1 + 8*p**2 to b + f*p**2 + d*p and give f.
8
Rearrange (3 - 5 + 1)*(-2*l + 1 - 1)*(2 + 782*l**2 - 783*l**2 + 15) to the form i*l**3 + y + w*l + d*l**2 and give w.
34
Express (-i - 7*i - 3*i)*(-4 + 4 - 2*i**2 + (-2*i - 1 + 1)*(-4 + 4 + 2*i) - 29*i + 42*i**2 + 29*i) as l*i**3 + o*i**2 + x*i + a and give l.
-396
Express (-3*n + n + n - 2*n**2 - 2*n**3)*(399*n + 234*n - 415*n) as z*n**2 + u*n**3 + o + r*n**4 + j*n and give r.
-436
Rearrange 5*b**3 - 48 - 23*b**2 - 2*b**3 - 2*b + 24 + 22 to the form h*b + u*b**2 + q + k*b**3 and give h.
-2
Rearrange 5 - 10*b**2 + 31643*b**4 + 2*b**3 - 31645*b**4 + 6 to r + y*b**3 + v*b**4 + j*b**2 + d*b and give r.
11
Express -2 - h**2 + 2 + (2*h + 130*h + 36*h)*(-3*h - h + 2*h) in the form l*h + y*h**2 + i and give y.
-337
Rearrange (8*n + 21 - 21)*((-5 + 1 + 2)*(1 - 3 - 2) - 3 - 1 + 7) to the form h*n + s and give h.
88
Rearrange -2 - 139*w**2 - 2*w - 140*w**2 + 281*w**2 to v*w + z*w**2 + g and give v.
-2
Rearrange 0*d**2 + 24 + 7 + 15 - 3*d**2 to w + g*d**2 + k*d and give g.
-3
Express (-884*w**2 + 514*w**2 + 458*w**2)*(-1 + 10*w - 2 + 1) in the form u + n*w + d*w**3 + o*w**2 and give o.
-176
Rearrange 38*u**3 - 230*u**3 + 4*u**2 - u**2 - 3*u**2 + 2 to the form f*u + z*u**2 + o*u**3 + c and give f.
0
Rearrange 93*d + 10955 - 10955 to w + g*d and give g.
93
Express 1039*d**2 + 672 - 672 as m*d**2 + f + a*d and give m.
1039
Rearrange (750 - 750 + 161*t)*((-5*t + 5*t + 2*t)*(1 - 2*t - 1) - 2 - 2*t**2 + 2) to y*t**3 + i*t + c + d*t**2 and give y.
-966
Express 12661*a**2 + 2*a**3 - 12664*a**2 - a**3 - 3*a**3 + 25 as f*a + b + v*a**2 + q*a**3 and give v.
-3
Rearrange 352*x + 2*x**2 - 3*x**3 - 359*x + x**3 to the form b + s*x**3 + z*x + g*x**2 and give z.
-7
Rearrange (-10*k + 8 + 18*k - 13*k)*(-4*k**2 + 15*k**2 - 8*k**2) to m*k**2 + c*k**3 + a*k + g and give c.
-15
Express -3*y + y + y + 2*y + 2*y - 2*y - 1 + 2*y + 1 + (-1 - 2 + 1)*(y + 4 - 4) - 2*y + y + 0*y - 3*y + 2*y + 5*y in the form l*y + x and give l.
4
Express (-604 + 604 + 34*i)*(37 - 26 - 16) as k + l*i and give l.
-170
Rearrange -1 + 401*i**2 + 384*i**2 + 2*i**3 - 715*i**2 to the form p*i**2 + j*i**3 + x*i + z and give z.
-1
Rearrange 3*j + j**2 + 11*j - 3*j**2 + 55*j to the form w + o*j + n*j**2 and give o.
69
Rearrange -4044*y**2 - 5 - 4*y**3 - 13*y**4 - 4045*y**2 + 8090*y**2 to the form u + s*y**2 + f*y + z*y**3 + r*y**4 and give r.
-13
Express (2*b - b - b + 11*b)*(3 + 4 - 2)*(-7 + 0 + 5) as c*b + h and give c.
-110
Rearrange -585 + p + 94*p**3 + 585 + 264*p**3 to the form k*p + h*p**3 + j + q*p**2 and give k.
1
Rearrange 152*g**2 + 2*g + 2*g**3 + 142*g**2 - 295*g**2 - 13 to the form q + v*g**2 + k*g**3 + p*g and give v.
-1
Rearrange (4 - 1 + 1 + (4 + 2 - 4)*(2 + 2 - 2) + 2 - 1 - 2)*(-5 + 4 - 6)*(0*w - 2*w + w) to the form j + r*w and give j.
0
Rearrange -i**4 - 14504*i + 0*i**4 + 14464*i - i**2 to the form c*i**2 + q*i**3 + y + r*i**4 + d*i and give d.
-40
Express 92 - 185 + 20*i**2 + 94 as a + j*i**2 + d*i and give j.
20
Rearrange -4727*v**2 + 4692*v**2 + 9*v + 2*v to the form u + j*v + r*v**2 and give r.
-35
Rearrange -22*b**3 + 66*b**3 - b**3 - 6*b**4 - b + 3*b**4 to n*b**3 + a*b**2 + l*b + p*b**4 + x and give n.
43
Express 22*o**4 - 1416*o**3 + 1391*o**3 - 21*o**4 + 1 + 4*o in the form f*o**3 + g + z*o**4 + i*o**2 + w*o and give z.
1
Rearrange (-5*x + 0*x + 3*x - x**2)*((-3 + 3 - 1)*(477 - 1257 + 322) - 2 - 2 + 2) to k*x + b + d*x**2 and give b.
0
Express (0*b**2 + 0*b**2 - 3*b**2)*(-9*b + 2*b - 16*b + (4 - 2 + 0)*(-b + 5*b - b)) in the form u*b**3 + s + m*b + t*b**2 and give s.
0
Rearrange (3 - 3 - 2)*(h + h + 0*h)*(15*h**3 + 4 - 11*h**3 + 2) to r*h**3 + o*h**2 + t + g*h + x*h**4 and give x.
-16
Express (26*j**2 + 59*j - 59*j)*((-4 + 1 + 4)*(3*j - j - 4*j) + (8*j + 6*j - j)*(2 + 3 - 3)) in the form n*j**2 + f*j**3 + i + o*j and give f.
624
Rearrange (49*k - 35*k - 24*k - 2)*(-12*k - 10*k + 25*k) to the form g*k + p + u*k**2 and give u.
-30
Rearrange (-531 - 680*m + 531)*(4 - 4 + 4)*(4*m + m**3 - 3*m**3 - 3*m) to the form u + c*m + f*m**4 + t*m**3 + h*m**2 and give f.
5440
Rearrange -8 - f**3 - 12*f**2 + 0*f**3 + 11*f**2 - f**3 to m*f**3 + a*f + v + y*f**2 and give m.
-2
Rearrange (0 + 4 - 3)*(4 - 2 + 7)*(10*n - 33 + 33) to the form t*n + p and give t.
90
Express -47*b**3 + 93*b**3 + b**4 - 187 + 57*b**3 + 190 as c*b**3 + g*b**2 + w*b**4 + a + t*b and give c.
103
Express 2*c**2 - 169 + 117 + 0*c**2 - 6*c**2 in the form k + s*c**2 + h*c and give k.
-52
Rearrange (0 + w + 0)*(18*w**3 - 3*w**2 - 2*w + 19 - 23 - 16*w**3) to the form d + m*w**4 + l*w + z*w**2 + s*w**3 and give s.
-3
Express (3*z - 4*z - 2 + 2*z)*(-9 + 13 - 36)*(1 - 2 - 2)*(-5 + 5 - 3 + (-3 + 6 - 2)*(2 + 2 - 3) - 2 + 0 + 3) as v + x*z and give x.
-96
Rearrange (-3*l + 0*l + 0*l)*(-5*l + 2*l + 2*l) + 159*l - 159*l + 30*l**2 to o + h*l**2 + s*l and give h.
33
Express 5460*m**4 + 3 - 5461*m**4 - 2*m + 9*m**2 - 4*m**3 - 4 in the form b*m**3 + l + a*m**4 + x*m**2 + v*m and give a.
-1
Rearrange -584*a - 72*a - 380*a - 34*a + 51*a to the form s + o*a and give o.
-1019
Rearrange (-2*d + 7*d + 0*d + (-4 + 4 - 1)*(-d - 6*d - 4*d))*(30*d - 8*d + 29*d) to the form l + a*d + u*d**2 and give u.
816
Express (159 + 29 + 13)*(j - 4*j + 4*j - 4*j) in the form l + o*j and give o.
-603
Express -13978*q**3 - 6 + 78*q**2 - q**4 + 13978*q**3 in the form z*q**3 + o*q + h*q**2 + x*q**4 + k and give k.
-6
Express -233*x**2 - 16*x - 5*x + 21*x as c*x**2 + w + v*x and give v.
0
Rearrange -103 + 0*p**4 - 2*p**3 + 205 - 46*p**2 - 2*p**4 - 104 to the form u + r*p + v*p**2 + c*p**3 + d*p**4 and give d.
-2
Express 2*o + 186629 - 186629 - 5*o**3 + o**4 as i*o**2 + z*o**4 + g*o + m*o**3 + x and give z.
1
Express (0*f**2 + f**2 + 0*f**2)*(2 - 46*f - 7*f - 11*f) as u*f**3 + n + t*f + m*f**2 and give u.
-64
Express (-4*z + 0*z + 6*z)*(-725 - 528 - 18 - 50 - 74) in the form f + p*z and give p.
-2790
Express 5 + 8 - 102*w - 13 as u*w + p and give u.
-102
Express (0 - 1 + 3)*(3*b**2 - 2*b + 2*b) + 4 - 4 + 2*b**2 + 154*b**2 + 165*b**2 - 1 - 334*b**2 in the form x*b**2 + s*b + d and give d.
-1
Express -8 + 0*p**4 - 2*p**3 - 2*p - 2*p**2 - 2*p**4 + 0*p**3 - p**4 in the form n + v*p**2 + u*p**3 + c*p + g*p**4 and give u.
-2
Express 105*u**2 + 283*u**2 + 13*u**2 in the form y + k*u + t*u**2 and give t.
401
Express (24 + 435*b**2 + 435*b**2 - 868*b**2)*(b - 4*b + b) + b**3 - 6*b**3 + 3*b**3 in the form r*b + c + u*b**3 + h*b**2 and give u.
-6
Express -63*g**2 + 44*g**2 + 366*g**2 + 232*g**2 - 15*g**2 in the form x*g + q + l*g**2 and give l.
564
Express (-1 - 2 + 2)*(-2 + 5 - 1)*(-1 + 2 + 1)*(2*b + 6*b - 4*b)*(16 - 27 + 17) in the form c*b + a and give c.
-96
Express 403*k**2 + 122*k**2 + 11*k**2 as z + v*k**2 + a*k and give v.
536
Rearrange 86 + 160*x - 39*x - 40*x - 39*x
|
{
"pile_set_name": "DM Mathematics"
}
|
i = -7. What is y(a)?
15
Let o(g) = g. Let y(u) = u**2 - 6*u. Let r be y(7). Suppose 0 = -2*l + 1 + 3. Suppose 5*f - l = -r. Give o(f).
-1
Let q(y) be the second derivative of -y**5/20 + y**4/4 + y**3/6 - 2*y**2 + 17*y. Calculate q(3).
-1
Let r(q) = -3*q**2 - 26*q - 23. Let d(z) = -z**2 - 9*z - 8. Let a(v) = -11*d(v) + 4*r(v). Determine a(-3).
2
Let y(d) = -7*d**3 - 6*d**2 - 4*d + 7. Let o(g) = -3*g - 6 + 8*g**2 + 6*g - 3*g**2 + 2*g**3 + 4*g**3. Let q(l) = -6*o(l) - 5*y(l). Determine q(2).
-3
Let p(v) = v - 4. Let o(n) = 2*n - 9. Let l(t) = 2*o(t) - 5*p(t). Calculate l(-5).
7
Suppose 11 = -5*a + 61. Let p = a - 3. Let y(q) = 0*q - p*q**3 + q - 3*q**3. Determine y(1).
-9
Let o(n) = n**2 + 1. Let g(w) be the first derivative of -w**3/3 + w**2 + 2*w - 38. Let z = 2 + -1. Let i(f) = z*o(f) - g(f). Determine i(2).
3
Let z(p) = 5*p**2 - 6*p - 4. Let d(g) = 4*g**2 - 6*g - 4. Let f(q) = 6*d(q) - 5*z(q). Let s be f(-5). Let i(y) = -7*y**3 - y. Determine i(s).
-8
Suppose 0 = 5*j - 3*c + 39, -2*j - 6*c - 6 = -4*c. Let o(a) = a**2 + 5*a - 4. Let x be o(j). Let y(w) = 4*w - 3*w**x - 2 + 2 - w**3 + 1. Determine y(-4).
1
Let b be (2 + 0)/((-2)/(-3)). Let h(x) = -x + 3*x**3 + 3*x - 3*x**2 - x**3 - b*x**3. What is h(-4)?
8
Suppose 0 = 5*y - 11 + 26. Let l(v) = -2*v + 1. Let o(w) = 6*w - 4. Let m(h) = 10*l(h) + 3*o(h). Determine m(y).
4
Let z be 1/1*(-2 + 2). Suppose -4*k + 6*k + 2 = z. Let v(p) = p**2 + p + 1. Let d(u) = -9*u**2 - 4*u - 4. Let c(l) = d(l) + 3*v(l). Determine c(k).
-6
Let j = 66 - 37. Suppose 9 = -5*n + j. Let y(b) = 1 + 3*b + b + 2*b - n*b. Calculate y(-2).
-3
Let h(c) = c**2 - 5*c - 5. Let w(l) = -l**2 + 5*l + 4. Suppose 0 = 5*f - 0*f - 25. Let d(p) = f*w(p) + 4*h(p). Calculate d(4).
4
Let i(y) be the third derivative of y**5/60 + y**4/24 + y**3/6 + 3*y**2. Calculate i(-1).
1
Let o(j) = 2*j**2 - 8*j - 6. Let z be o(5). Let c(n) = n**3 - 4*n**2 - n - 4. Let q be c(z). Let r(g) = -g**3 - 9*g**2 - 9*g - 11. Calculate r(q).
-3
Let h(t) = -7*t - 4. Let k(f) = -4*f - 2. Let d(g) = 3*h(g) - 5*k(g). What is d(5)?
-7
Let k(p) = -5*p**2 - 2*p**2 + 6*p**2 + 4 - 2*p. Give k(-4).
-4
Let q(w) be the first derivative of -1/6*w**3 + 4 + 1/12*w**4 + 1/20*w**5 + 0*w**2 - w. Let b(k) be the first derivative of q(k). Calculate b(2).
10
Let v(a) = -7*a**2 - a + 9. Let t(g) be the first derivative of -10*g**3/3 - g**2/2 + 13*g - 2. Let i(z) = 5*t(z) - 7*v(z). Give i(-2).
-6
Suppose -2*c = c. Let t = -5 + 7. Let d(y) = 2*y - 4 - 2*y + y**t. Determine d(c).
-4
Let h(f) = -f**2 - 5*f**2 + 5*f**2 - 9 + f. Let x(t) = 0*t**3 + 13*t - t**3 + 21*t**2 + 0 - 12 - 10*t**2. Let z be x(12). Give h(z).
-9
Suppose 0 = k + 2*k + 9. Let j(h) = h**2 + h + 3. Let t(u) = -142*u + 142*u - u**2 - 4. Let o(m) = k*j(m) - 2*t(m). Determine o(-1).
1
Let i(m) = 3 - 2*m - m + 2*m. Let z(l) = -l - 4. Let s be z(-6). Suppose -5*o + s*q = 0, 0 = 5*o + 2*q - 0*q. Determine i(o).
3
Let y(k) = -k + 5. Let g be y(9). Let j be 6*2*(-1)/g. Let d(s) = 0*s**3 + s**j + 0 + s**2 + s**3 - 1. Determine d(1).
2
Let v(z) = -2*z + 1. Suppose -7*t = -2*t + 10. What is v(t)?
5
Let l(y) be the third derivative of -y**4/24 + y**3/3 - y**2. Let u = 117 - 114. Determine l(u).
-1
Let h(j) = -j - 4. Let g be h(-3). Let r(a) = 9*a**3 + a**2 - a - 1. Determine r(g).
-8
Let o(a) = a**3 + 7*a**2 + 5. Let g be o(-7). Let u = -5 + 7. Let b(f) = -12*f + 7 - f**2 + 2*f**u + 4*f. What is b(g)?
-8
Let z(b) = b**3 - 4*b**2 + 3*b + 3. Let t = 28 - 19. Suppose -3*f = -0 - t. What is z(f)?
3
Suppose -w = -4*m - 8, -3*w - 2*m + 3*m + 2 = 0. Let u(q) = q**3 - 18. Give u(w).
-18
Suppose 3*s - c = -23, 0 = 3*s + 2*c - 5*c + 21. Let i = -9 - s. Let t be (-2 - (i + 2)) + 1. Let l(a) = 2*a**2 + 2*a - 2. Calculate l(t).
2
Let j(s) be the third derivative of s**4/24 - 2*s**2. Suppose 4*h - o + 17 = 0, -3*h + 6 - 16 = 2*o. Let w = 7 + h. Determine j(w).
3
Let u be ((-4)/(-3))/((-2)/6). Let k = 0 - u. Let h(j) = -10 + 0 + j + 8. What is h(k)?
2
Let i(c) = -14*c + 8*c - 8 + 7*c. Determine i(7).
-1
Let b be 0 - (2 + -2) - 1. Let t(u) = -u**2 + 8*u - 4. Let w be t(7). Let y(c) = 2*c - 4*c + w*c**2 - 1 + c. What is y(b)?
3
Let r(d) = -d**3 - d + 1. Let s(v) = v**3 - 4*v**2 - v - 2. Let j(p) = 2*r(p) + s(p). Let b(i) = -i**2 + 6*i - 7. Let a be b(5). What is j(a)?
-2
Let x(m) = 6*m**2 - m**2 + 4 - 4*m**3 + 3*m**3 - 5*m. Suppose 3*n + 9 = 6*n. Suppose l - 16 = -n*l. What is x(l)?
0
Let l(t) = -t**2 - t - 2. Let o(d) = -d - 15. Let r be o(0). Let b be 0*(-2 - r/6). Give l(b).
-2
Let o(x) = x**3 - x**2 - 2*x + 1. Let m be ((-4)/(-20)*0)/(-2) - -3. Determine o(m).
13
Let d(x) be the first derivative of x**4/12 - x**3 - x**2/2 - 4. Let a(p) be the second derivative of d(p). Determine a(6).
6
Let s(a) = a + 4. Let v = 1 + 4. Suppose 5*m - c + 26 = 0, v*m + 42 = -3*c - 0*c. Give s(m).
-2
Suppose -2*u - 225 = u. Let l be 2/9 + u/(-27). Suppose -3*k - 3*q = 9, l + 0 = 5*k - q. Let w(r) = r**2 + 1. Give w(k).
1
Let q(z) = z**3 - 2*z**2 + 3*z - 1. Let j(l) = l**3 + 4*l**2 - 6*l - 3. Let x be j(-5). Give q(x).
5
Suppose 0*b = -5*b. Let q(d) = d**3 - d**2 - 1. Let v(s) = -5*s**3 + 7*s**2 + s + 2. Let g(u) = 6*q(u) + v(u). Determine g(b).
-4
Let k(s) = s**2 + s - 2. Let r(w) = w**2 + 3*w + 2. Let f be r(-7). Let c be f/(-9)*(-18)/4. Suppose z + c = -4*z. Give k(z).
4
Let g(w) = w**3 - 3*w**2 - 3*w - 5. Let i be g(4). Let x(b) be the third derivative of b**4/8 - b**3/6 + 16*b**2. Determine x(i).
-4
Let d(t) be the first derivative of -t**3/3 - 3*t**2 + t - 7. Calculate d(-6).
1
Let g = 0 - -5. Let j(a) = -a**3 + a**2 - a + 1. Let l(f) = f**3 + 2*f**2 + 8*f - 4. Let y(v) = -2*j(v) - l(v). Determine y(g).
-3
Let a(w) = -5*w - 36. Let g(k) = -k - 9. Let q(m) = 2*a(m) - 9*g(m). Calculate q(7).
2
Let c(u) = -u - 1. Let t be c(0). Let h(y) = -14*y - 2*y - 8*y - 16. Let l(x) = 5*x + 3. Let i(f) = 2*h(f) + 11*l(f). What is i(t)?
-6
Let b(j) = -j**2 - 9*j + 4. Let c be b(-9). Let m(n) = c*n**3 + 4*n**2 - 6*n**2 - 4 - 5*n**3. Give m(-3).
5
Let q be (1 - 10)*(5 - 3). Let z be q/(-9)*2/2. Let t(k) = -3*k - 2. What is t(z)?
-8
Let k be -33*4/6*1. Let r be ((-2)/(-4))/(11/k). Let h(q) = -q + 3 - 7*q**2 - 2 + 3*q. Determine h(r).
-8
Let z(s) = 6*s**2 - 8*s + 1. Let l(a) = -a**2 + a. Let k(m) = 5*l(m) + z(m). Suppose 3*c = 8*c - 20. Suppose -g + c*b - 19 = -2*g, 0 = 5*g + b - 19. Give k(g).
1
Suppose -4*c - 25 = 71. Let z be c/(-10) - (-2)/(-5). Let k(l) = 3*l - 2. Determine k(z).
4
Let r(p) = 4*p + 56. Let b(v) = -v - 14. Let i(z) = 9*b(z) + 2*r(z). Determine i(-11).
-3
Let c(f) = -f**3 + 6*f**2 + 9*f - 4. Let q be c(7). Suppose 2*y = 4*z + q, -2*z + 4*y - 4 = 2*z. Let o(i) = -i**2 - 2*i + 1. What is o(z)?
-7
Let j(q) = 4*q**2 - 7*q. Let t(y) = -2*y - 6*y**2 + 7*y**2 + 0*y**2. Let o(i) = -4*j(i) + 14*t(i). Calculate o(-1).
-2
Let i = -6 - -6. Suppose -6*t + t + 5 = i. Let h(p) = -19*p - 5. Let z(n) = -105*n - 28. Let k(w) = -28*h(w) + 5*z(w). Calculate k(t).
7
Let t(l) = 4*l**2 - l**2 - 2*l**2 + 1 + l**3. Suppose -7*z = -11*z. Give t(z).
1
Let y(c) = -c**2 + 7*c + 3. Let w(j) = -j**2 - 2*j + 2. Let p(m) = m**2 + 2*m - 2. Let l(d) = -2*p(d) - 3*w(d). Let o be l(2). Give y(o).
9
Let s(u) = u**3 + 2*u**2 - 8*u + 11. Let y(g) = -g**3 - g**2 + 7*g - 10. Let p(b) = -4*s(b) - 5*y(b). Determine p(4).
10
Let m(v) = -v**2 - v - 6. Let z(i) = i**2 + 5. Let j(n) = -n**2 + n - 4. Let r be j(0). Let h(f) = r*m(f) - 5*z(f). Give h(4).
-1
Let r(p) = p**2 - 10*p. Let v be r(10). Let n(b) = -b**2 + 2. Let j be n(v). Let h(a) = -a**j + a**3 - 3*a**2 - 4 - a**2 + 6*a. Give h(4).
4
Let u(l) be the first derivative of -l - 5. Let q(w) = -w. Let o be q(5). Let s(i) = 6*i**3 + i + 6. Let a(x) = o*u(x) - s(x). What is a(-1)?
6
Let f(d) = -13*d**2 - 6*d + 5. Let m(a) = -27*a**2 - 13*a + 11. Let p(w) = -13*f(w) + 6*m(w). Give p(1).
8
Suppose 5*h - 24 = -5*i - 4, 0 = 2*h - i + 4. Suppose 0 = 5*u - h*j - 3*j + 18, 0 = 3*u + 3*j + 30. Let a(g) = g**2 + 5*g - 3. Give a(u).
3
Let g(a) be the third derivative of -a**4/24 - 11*a**3/6 - a**2. Suppose -4*w = -2*w + 12. Determine g(w).
-5
Let j(a) = a**2 + 2*a. Let g be j(-2). Let h(i) = -9*i + 5*i + 0 + 8. Let q(p) = -p + 1. Let w(t) = -h(t) + 3*q(t). Give w(g).
-5
Let y(t) = -t**3 - 11*t**2 - 2*t - 9. Let s be y(-11). Let f(u) = 21*u - 4*u - 5*u - s*u. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
-5
Express (-3 + 6 + 0)*(-4*n + 3*n + 2*n) + 3*n + 5 - 1 - 5*n in the form u + p*n and give u.
4
Rearrange -2 - 4*u**2 + u - 2*u**3 + 6*u**2 - 2*u**2 to z*u**3 + t*u + g + b*u**2 and give z.
-2
Rearrange (2 - 2 - 2*x**3)*(1 - 7 + 5) to y*x + l*x**2 + t + h*x**3 and give h.
2
Express -10*k - 366 + 366 as b*k + d and give b.
-10
Rearrange 10*p**2 + p**2 - 3*p**2 to h + r*p + g*p**2 and give r.
0
Express i - 41*i**4 - 39*i**4 + 3 + 83*i**4 + 2*i**3 in the form k*i**3 + c*i**2 + w + s*i**4 + o*i and give w.
3
Express (-10*v + 10*v - 5*v**3)*(-3 + 3 - 4) + v**3 + 0*v**3 + 0*v**3 in the form b + u*v**3 + n*v + q*v**2 and give u.
21
Express 10*y**2 - y - 2*y**2 + 0*y - 2*y**2 + 0*y + 0*y + (-3*y + 3*y + y**2)*(-6 + 2 + 1) as m*y + b*y**2 + s and give b.
3
Express (-136 - 125 - 29 + 7)*(0*v**2 + 0*v**2 + v**4) as m*v + h + l*v**3 + w*v**4 + u*v**2 and give w.
-283
Rearrange o**3 + 2*o**4 - 5*o**2 - 10*o**2 - 5*o**2 to the form k*o**2 + t + w*o**4 + q*o + m*o**3 and give m.
1
Express (3*w - 3*w + w)*(-1 - 4 - 10*w + 9*w) in the form v + n*w + l*w**2 and give v.
0
Express 105*m**2 - 121*m**2 + 0*m**3 + 0*m**3 + m + 1 - 2*m**4 in the form h*m**4 + x*m**3 + w*m**2 + d*m + r and give d.
1
Rearrange -12*f + 52*f + 87*f + 25*f to a*f + z and give z.
0
Rearrange 7 + 12 + 6*z**2 - 3*z - 19 to the form y*z**2 + s + a*z and give a.
-3
Rearrange 5*t**2 - t**4 - 2 - 2*t**3 + 2 - 2*t**2 to r*t**2 + z*t**3 + g + v*t**4 + y*t and give v.
-1
Express (-w + w - w**2)*(-10 + 6 - 2*w**2 - 12 + (1 + 2 + 2)*(-w**2 - 2*w + 2*w)) as u + c*w**4 + p*w + i*w**3 + v*w**2 and give u.
0
Express (5*g + g - 4*g)*(5 - 3 - 3) + (g - 2 + 2)*(1 - 4 + 1) - g - 2*g + 2*g - 26*g - 16*g - 2*g as v + m*g and give m.
-49
Express 2*i + 3 + 1 - 2 + (1 + 2 - 2)*(-2*i + i - 2*i) in the form u*i + n and give u.
-1
Express (2*r - 4*r + 4*r)*(-1 - 1 + 1)*(-26*r**3 - 38*r**3 + 43*r**3) as o*r**2 + j + f*r**3 + m*r + n*r**4 and give n.
42
Rearrange 14*t - 5*t + 23*t to y*t + a and give y.
32
Rearrange 8*j**4 - 1 + 2*j**2 - 7*j**4 + 4*j - 2*j - 4*j to the form i*j**3 + w + a*j**2 + t*j**4 + k*j and give w.
-1
Express -11*g - 14*g + 15*g - 1 in the form o*g + v and give o.
-10
Rearrange q**2 + 3*q**3 - 4*q**2 - 8*q**3 + 2*q**2 to the form n*q**2 + i + g*q + u*q**3 and give n.
-1
Rearrange -k**3 + 11 + 0*k**3 + k - 9 to the form z + t*k**2 + p*k**3 + s*k and give p.
-1
Rearrange -6*d**2 + 2*d**2 + 6*d**2 + d + 0*d to the form b*d**2 + j*d + c and give b.
2
Express ((-4*z + 2*z + 0*z)*(-2 + 4 - 1) - 3*z + 3*z + 3*z)*(-3 - 2 + 2)*(-z + 3*z + 0*z) as d*z**2 + p + n*z and give d.
-6
Express -65*t + 42*t + 39*t as v*t + x and give v.
16
Express (-y + 4*y - 4*y - y - 4 + 4 + (5 + 1 - 5)*(0*y + y - 3*y) + 4 - 4 - 3*y + (5 - 5 + 2)*(-2 + 2 - 2*y))*(-1 - 3 + 0)*(-1 + 5 + 3) as q + h*y and give h.
308
Express 6*w**2 - w**2 - 9*w + 8*w + 4*w in the form j*w**2 + l*w + i and give j.
5
Express -10*x**2 + 58*x**3 - 20*x**2 - 60*x**3 in the form g*x + n*x**2 + d*x**3 + a and give d.
-2
Express -w**3 + 2*w**3 - 2*w**3 + 3*w + 1 - w**3 as j*w**2 + h*w**3 + i + f*w and give i.
1
Rearrange -219 - 6*i**2 + 219 to o + c*i + k*i**2 and give k.
-6
Express (-23 + 10 + 12)*(-3*s**4 - 2*s**4 + 7*s**4) as r*s**2 + i*s + w + h*s**4 + t*s**3 and give h.
-2
Express -3*l**3 - 5 - l + 6*l**3 - 5*l**3 - 6 - 2*l**4 + l**2 in the form y + t*l**3 + f*l + s*l**4 + i*l**2 and give t.
-2
Express (5*i - 2*i - i)*(2 - 1 - 4)*(1 - 1 - 4)*(2 - 2 - 1) in the form f*i + j and give f.
-24
Rearrange (3 - 2 + 0)*(8 + 3*v**2 + 5294*v - 5294*v) to the form w + j*v + t*v**2 and give w.
8
Rearrange (-49 - 61 - 45)*(0*a**4 - 2*a**4 + a**4) to the form u*a**3 + r*a**2 + o + n*a + s*a**4 and give u.
0
Express (-f + 3*f + 374 - 278)*(0 + 0 - 2) as x*f + y and give x.
-4
Express ((3*j**2 - 2*j**2 + 0*j**2)*(-1 - j**2 + 1) - 6*j**4 + 2*j**4 + j**4)*(2 + 4 - 3) as r*j + c + t*j**2 + q*j**3 + u*j**4 and give u.
-12
Express 417 + 7*t**4 - 415 + 0*t**4 - 3*t**4 - 3*t in the form b*t**3 + k*t**2 + q*t**4 + i + d*t and give d.
-3
Express -14 + 26 + 78*u - 12 as a*u + q and give a.
78
Rearrange -10*a**2 + a + 8*a**2 + 1 + 15*a + a**2 to the form m + l*a + d*a**2 and give l.
16
Rearrange 5 + 5*b**4 - 8*b**2 - 4*b**4 + 2*b**3 - 5 to the form j + x*b**2 + r*b + n*b**3 + h*b**4 and give j.
0
Express -3 + 5 - 12*h**3 + 10*h**3 - 3*h**4 in the form k*h**4 + p + s*h**3 + l*h**2 + b*h and give s.
-2
Rearrange 0*y + 1 + 26*y - 1 to the form b*y + h and give b.
26
Rearrange (-10 + 31*w**2 - 58*w**2 + 28*w**2)*(-2*w**2 + 5*w**2 - 2*w**2) to p*w**4 + a*w**2 + u*w + g + b*w**3 and give a.
-10
Rearrange 2*j**4 + 2*j**4 + 0*j**4 + (j + j + j)*(-2*j**3 - 4*j + 4*j) to the form k*j**4 + p*j + n*j**2 + w*j**3 + d and give n.
0
Express (2*o + 2 - 2)*(-o**2 - 5*o**2 + 4*o**2) + 95*o**3 - 19*o**3 + 14*o**3 in the form s*o + r*o**3 + a*o**2 + x and give r.
86
Express (-3*c + 2*c**2 + 3*c)*(73 - 267 + 35 - 210) in the form j*c**2 + v + d*c and give j.
-738
Express -27*l + 11*l - 127*l**2 + 16*l in the form n*l**2 + t + u*l and give n.
-127
Express -14*v - 342 + 47*v + 342 as o*v + p and give o.
33
Express (-9*t - 8*t + 10*t)*(6 - 6 + 3*t) in the form v*t**2 + l + g*t and give v.
-21
Express -647*y - y**3 + 6*y**3 + 642*y + y**2 as g + j*y + z*y**3 + l*y**2 and give g.
0
Express g - g**2 - g + (0 - 3 + 7)*(-2*g**2 + 0*g**2 + 0*g**2) + 0*g**2 - 5*g**2 + 3*g**2 as p*g**2 + t + s*g and give p.
-11
Express (-h - 2*h**3 - 2 - 3*h**2 + 3*h**2)*(19 - 13 - 4) in the form i*h**3 + x*h + y + m*h**2 and give m.
0
Express (-6 + 6 + 5*x)*(-2 + 2 + 7) in the form z + w*x and give w.
35
Rearrange a**2 - 5*a**2 - 6*a**2 + 3*a**2 to b + t*a**2 + s*a and give t.
-7
Express 12*j**2 + 13*j - 5*j + 25*j**2 - 10*j in the form a*j + v*j**2 + x and give v.
37
Rearrange (-n + 1 - 1)*((-3 + 1 + 4)*(2*n + n**2 - 2*n) - 11*n**2 - 2*n**2 - 10*n**2) to t + g*n + y*n**2 + z*n**3 and give z.
21
Rearrange -490 + 249 - 3*q + 207 to u*q + g and give g.
-34
Rearrange (2*l**2 - 3*l**2 + 2*l**2)*(-107*l + 116*l + 59*l) to the form r*l + t*l**3 + n + d*l**2 and give t.
68
Express (-6*d + 2*d**2 + 6*d)*(2*d**2 - d**2 + d**2) - 2*d**4 + 0*d**2 + 0*d**2 as p*d + w + j*d**3 + x*d**4 + c*d**2 and give x.
2
Rearrange -62*j**2 + 29 + 26 - 55 to the form h + k*j**2 + s*j and give k.
-62
Rearrange (y + 2*y - y)*(0*y - y - 13*y) + 3*y**2 - 3*y**2 + 2*y**2 + (2*y + 3*y - 3*y)*(2*y - 1 + 1) - 1 - y**2 + 1 to the form o*y**2 + v*y + t and give o.
-23
Express (3 - 2 - 3)*(4*c - c + c)*(6*c + 7*c**2 - 6*c) in the form w + a*c**3 + k*c + l*c**2 and give k.
0
Rearrange -1 - 12*l**3 + 40*l**3 - 15*l**3 to the form w*l**3 + c*l**2 + b + r*l and give b.
-1
Rearrange -15*l + 5*l + 5*l + 3*l to i*l + b and give i.
-2
Express 8*n**3 + 22*n**2 - 2*n**3 - 5*n**3 + 2*n**4 - n as s*n**4 + i + p*n**3 + o*n**2 + x*n and give p.
1
Express (3*d + d + 2 - 3*d)*(-2*d - d + 10 - 12) in the form v*d**2 + k*d + s and give v.
-3
Rearrange (57*y**2 + 73*y + 59*y**2 - 118*y**2)*(y**2 + 2*y - 2*y) to n*y + l*y**4 + r*y**3 + j + p*y**2 and give l.
-2
Rearrange (8 - 3 - 7)*(1 + 0 + 2)*(-4*u + 3*u + 2*u)*(-3*u**2 - 4*u**2 + 5*u**2) to the form c + w*u + n*u**3 + l*u**2 and give n.
12
Express -3 + 3*c**3 + 3 + (3 - 2 + 0)*(0*c**3 + 2*c**3 - c**3) as w*c**2 + f*c + m + s*c**3 and give s.
4
Express 3*y - y + 0*y - y + 5*y - 3*y + 0*y - y - y + (1 - 1 + 2*y)*(3 + 0 - 5) + 3 + 8*y - 16*y + 7*y as f*y + m and give f.
-4
Rearrange -3*j**2 + j**2 + 3*j**2 - 52 to the form t*j**2 + l*j + v and give v.
-52
Express 3*f - 27*f**2 - 3*f - 2*f - 18*f**2 as w*f**2 + s + u*f and give u.
-2
Express -1 + 1 + u**2 + (9 - 9 - 4*u)*(-4*u + 2*u - 3*u) in the form k*u + v + d*u**2 and give d.
21
Rearrange 37 + 16*c**2 + 2*c - 10 - 10 - 18 to the form y + f*c**2 + m*c and give y.
-1
Rearrange (21 - 4*g**3 - 21)*(2*g - 3*g + 2*g + (-3 + 4 + 1)*(-3 + 3 + g) + g - 2*g - 5*g) to d*g**4 + l*g**3 + n*g**2 + a*g + x and give n.
0
Express 4*h**4 + 18 + 4*h**3 - 3*h - 6*h**3 - 16 as b*h**2 + k*h**3 + t*h + c + r*h**4 and give t.
-3
Express (-6*p**2 - p**2 + 5*p**2)*(-p - 4*p + p) in the form x + n*p**2 + f*p**3 + y*p and give f.
8
Rearrange -20*l + l**2 + 19*l - 2*l**2 - 32*l**3 to the form p*l**2 + j*l + o*l**3 + g and give j.
-1
Rearrange (-1 - 5 + 2)*(-r + 2*r**3 + r) + 2 + 0*r**3 + 0 - r**3 to a*
|
{
"pile_set_name": "DM Mathematics"
}
|
27)
Simplify (x**(-13/5)/x*(x/(x**(-2)*x))/x)/(x/(x/x**(8/7))*x)**(1/9) assuming x is positive.
x**(-298/105)
Simplify ((z/(z*z*z**(-9)*z))/(z*((z/(z*((z**(-21)*z)/z)/z))/z)/z))/((z*((z*z**9)/z)/z)/((z*z**20*z)/z)) assuming z is positive.
z**(-2)
Simplify (m**3)**12*(m*(m*m**(-2/7)*m)/m)**(5/3) assuming m is positive.
m**(272/7)
Simplify (t/(t/(t*t**2)))**(3/5)*t*(t*t**(-1))/t*t*t**(-1/4)/t assuming t is positive.
t**(31/20)
Simplify (r*r*r**(-7))**(9/7)*r**14*r**5/r assuming r is positive.
r**(81/7)
Simplify y/(y/y**(1/13)*y)*y/(y*(y/y**(-1))/y)*(y/(y**3/y))**37 assuming y is positive.
y**(-506/13)
Simplify (s**(-35)*s**(7/6)*s*s)**(-1/3) assuming s is positive.
s**(191/18)
Simplify (g*g*g**(-20))/(g**(-17)/g)*(g*g*g**15*g)/(g/g**18) assuming g is positive.
g**35
Simplify u**(2/37)/(u/(u*u/(u*u**5)))*(u*u*u*u*u**(5/2)/u*u*u*u)/(u**(-4/21)/u) assuming u is positive.
u**(7373/1554)
Simplify (w**(5/3)*w**5*(w**(-1/4))**(1/7))**(-25/2) assuming w is positive.
w**(-13925/168)
Simplify (m/(m*m/(m*m/m**(-7/4))))**(7/2)/(m**14)**46 assuming m is positive.
m**(-5075/8)
Simplify ((c*c**(-3)*c)/(c**(-1)/c*c))/(c*c**(-3)*c**(-3/7)) assuming c is positive.
c**(17/7)
Simplify ((((s/(s*s/(s**(-2/5)*s)*s)*s)/s)/(s*s**(-2)))**(-3/8))**29 assuming s is positive.
s**(87/20)
Simplify i**(-23)*i**(-2/5)*((i*i/(i*i*i**(-3/7)*i))/i)**(-2/13) assuming i is positive.
i**(-10537/455)
Simplify (z*z**(4/3)/z*z)**(-15)*z**(-6/19)*z/z**(-3/4)*z assuming z is positive.
z**(-2475/76)
Simplify (d**0*d)/d*d**(-3)*(d**29/d*d)/d**(11/2) assuming d is positive.
d**(41/2)
Simplify ((q**(-6)/q**(-1/7))/(q**3*(q/(q/q**(-5)*q))/q))**(1/11) assuming q is positive.
q**(-13/77)
Simplify (u**(-7)/(u/u**(1/3)*u))**12 assuming u is positive.
u**(-104)
Simplify ((u**2/u*u**(-7))/(u**(5/3)*(u*u**(-4/9)*u)/u*u))**(-4/7) assuming u is positive.
u**(332/63)
Simplify (w**(-31)*w)/(w*w**(-3))*(w*w/w**7)/(w**(1/3)/w*w) assuming w is positive.
w**(-100/3)
Simplify (h**(2/7))**34/(h**(-1/17)*(h*h/h**(-2/3))/h) assuming h is positive.
h**(2894/357)
Simplify (o*o**(11/3)*(o*o/o**10)/o)**(-33) assuming o is positive.
o**143
Simplify (k**(4/3))**(-5)/(k*(k**(-23)*k)/k*k*k/((k*k/(k/k**17)*k)/k)) assuming k is positive.
k**(94/3)
Simplify ((l**(-2))**5/(l/((l**(-1)/l*l)/l))**(17/3))**(-2/97) assuming l is positive.
l**(54/97)
Simplify ((t**(-9)/t)/t)**(-1/7)/(t/t**(6/19)*t*t**(-18)) assuming t is positive.
t**(2379/133)
Simplify ((q**(-1)/q)**(1/25)*((q/q**(-1))/q)**(9/7))**(1/2) assuming q is positive.
q**(211/350)
Simplify ((v**(2/3)/v)**(-18/17)/(v**0*((v*v*v**(-2))/v)/v*v))**(1/5) assuming v is positive.
v**(23/85)
Simplify (x**0*x)**(-1/64)/((x/x**(2/19))/x*x**(6/11)*x) assuming x is positive.
x**(-19473/13376)
Simplify k**(-16)/(k**(-22)/k)*k**19*k*k*k**23 assuming k is positive.
k**51
Simplify ((m*m**(-8))/(m/(m*m*m**(-3/7))))/(m**(2/39)/m*m*m/m**(-1/4)) assuming m is positive.
m**(-8441/1092)
Simplify (s/(s**3*s))**(-29)*(s*s**(-13)*s)/((s**(2/17)*s)/s) assuming s is positive.
s**(1290/17)
Simplify (u*u**(-19))/u**(-1/3)*u/(u**(-5)*u)*u**0 assuming u is positive.
u**(-38/3)
Simplify (u/(u/(u/u**(-1)))*u**(9/2))/(u*u**(2/25)*(((u*u**7/u)/u)/u)/u) assuming u is positive.
u**(71/50)
Simplify ((q**1/(q**10*q))/(q**5*q*q**(-5/6)))**18 assuming q is positive.
q**(-273)
Simplify ((r/r**(-2/3))**4*r*r*r**(-2/9)*r*r/((r**0*r)/r))**33 assuming r is positive.
r**(1034/3)
Simplify (j*j*j**(2/17)*j*j**(-4))/(j/j**(2/3))**(1/6) assuming j is positive.
j**(-287/306)
Simplify k*((k/(k*k**(-1/4)))/k)/k*k*k/(k/(k*k**33))*k/((k*k**27/k)/k)*k**14 assuming k is positive.
k**(93/4)
Simplify (((j*j/((j/j**11)/j)*j*j)/j)/j)/(j/(j*(j**5/j*j*j)/j*j*j))*(j*j**(-1/2))**(1/56) assuming j is positive.
j**(2241/112)
Simplify ((h**(-2))**(-2/37)*h**(2/25)/h**(-2))**(3/11) assuming h is positive.
h**(552/925)
Simplify (y/(y*y*y**14/y)*y**11)/(y**(-2/69)*y**(13/4)) assuming y is positive.
y**(-1717/276)
Simplify ((h/h**(4/7)*h**(-1/5))**44)**33 assuming h is positive.
h**(11616/35)
Simplify (m**(-4)/m)**(1/47)*(m**(2/7))**(2/19) assuming m is positive.
m**(-477/6251)
Simplify ((p/(p*((p*p**(-1))/p*p*p*p)/p)*p)**(-1/13))**(-23) assuming p is positive.
1
Simplify (k**(1/9))**(-2/45)/((k/(k/(k/((k*k**(-16)*k*k)/k)*k)))/(k*k*k**(3/5)*k)) assuming k is positive.
k**(-5024/405)
Simplify (n**(-3/5))**(-1)/(n**(2/19)/((n*n**(-13/5))/n)) assuming n is positive.
n**(-40/19)
Simplify (s**(-12))**50*(s/(s/s**14))/s*s*s**(-3/5) assuming s is positive.
s**(-2933/5)
Simplify (g**26/(g/g**(-7/2)))/(g**(2/97)*g/(g/(g/((g/(g*g**(2/23)*g)*g)/g*g)))) assuming g is positive.
g**(90991/4462)
Simplify p**(-1/17)/(p**(1/11)/p)*p*p**(4/11)/p*p*p/(p/((p**(1/4)/p)/p*p)) assuming p is positive.
p**(1095/748)
Simplify (r**(-8)/r)/(r*r**(-12))*r**(2/9)*r**(-1/9) assuming r is positive.
r**(19/9)
Simplify ((q*q/(q*q/(q*q*q**(-3)))*q/(q*q**(3/4)/q))**(-43))**(-11) assuming q is positive.
q**(-1419/4)
Simplify (l**(1/4))**(-2/5)/(l**6/(l/l**(2/13))) assuming l is positive.
l**(-683/130)
Simplify (l/(l*l**(-4)))**(1/10)*(l**(-2)*l)**(4/9) assuming l is positive.
l**(-2/45)
Simplify (w**(2/39)/w)/w**(-1)*w/(w*w**(-2/19))*w*w*(w*w**(2/5))/w*w*w assuming w is positive.
w**(16882/3705)
Simplify (a**(-22)*a**(5/3))**27 assuming a is positive.
a**(-549)
Simplify ((v*v*v**7*v)/((v**(-2/11)*v)/v))/(v*v**(3/5))**(16/3) assuming v is positive.
v**(272/165)
Simplify l**(1/5)/(l/(l/((l*l**(-4)*l)/l)))*l**(-1/3)/(l**(-21)/l) assuming l is positive.
l**(373/15)
Simplify (f*f*f**(3/7)*f)**(-6/17)*f/f**(-1/4)*f**4 assuming f is positive.
f**(1923/476)
Simplify ((s**3*s*s)**(-30)*s**6*s**(-4/11))**25 assuming s is positive.
s**(-39700/11)
Simplify (b/(b/(b/b**(1/19)))*b**(-2/15))**(-31) assuming b is positive.
b**(-7192/285)
Simplify t**21/t*t**(-1/31)*t**4/(((t*t**22)/t)/t*t) assuming t is positive.
t**(61/31)
Simplify ((h/h**(-5/3)*h*h)/(h**(-11)*h))/(h*h/((h*h*h/((h/((h*h**12)/h))/h))/h)*h*h**(-2)*h) assuming h is positive.
h**(80/3)
Simplify ((((f/(f*f**5))/f)/f**(-3/11))/((f*f**(1/3))/(f*f**(-5)/f)))**(-4) assuming f is positive.
f**(1592/33)
Simplify (l**(-4)/l*l*l/(l**0*l)*l*l**(5/6)*l/l**2)**16 assuming l is positive.
l**(-152/3)
Simplify (((m/(m**(-2/13)/m))/m)/((m/(m**19*m))/m))/(m**(-1)/m**(9/8)) assuming m is positive.
m**(2421/104)
Simplify x**23/(x*x**16)*x**(-8)*x*x/(x/(x*(x*x**(-15/7))/x)*x)*x assuming x is positive.
x**(-15/7)
Simplify n/n**8*n*n*n**(-11)*n**(1/14)/(n**17/n) assuming n is positive.
n**(-447/14)
Simplify ((((q/(q*q**(-23)))/q)/q*q)/(q**(-22)/q))/(q**(1/4))**(-44) assuming q is positive.
q**56
Simplify i*i**(-12)*i**(-1/2)*(i**1)**25 assuming i is positive.
i**(27/2)
Simplify ((c*c**(2/11)*(c*c**(-6))/c)/(c**0)**31)**(1/40) assuming c is positive.
c**(-53/440)
Simplify (y**11*y*(y*y**(-4/13))/y)/(y**(2/43)/y**(-13)) assuming y is positive.
y**(-757/559)
Simplify ((p**(-1/3)/p**(-5/3))/((p*p*p**1)/p*p)**(-1/14))**(-2/13) assuming p is positive.
p**(-5/21)
Simplify ((b/b**(-2/13))**(-12))**(12/19) assuming b is positive.
b**(-2160/247)
Simplify ((j/(j**(1/26)/j))/j**(-15))/(j**(3/4))**(3/14) assuming j is positive.
j**(12231/728)
Simplify (y**(-2/33)*y*(y/y**(-4/5))/y)**(-3/19) assuming y is positive.
y**(-287/1045)
Simplify (((b**8*b)/b)/b**(4/5))/(b**(3/7))**20 assuming b is positive.
b**(-48/35)
Simplify f**21*f*f/(f/(f*((f**(7/2)/f)/f*f*f)/f))*(f/f**(-4))**(1/32) assuming f is positive.
f**(821/32)
Simplify (y**(3/7))**(-35)/(y**(-3/4))**(-10) assuming y is positive.
y**(-45/2)
Simplify ((o**(13/7)/o*o)/(o/o**(11/2)*o*o))/(((o/o**13)/o)/(o**(-1/14)/o)) assuming o is positive.
o**(114/7)
Simplify (d**(-10/3)*d**(-7))**42 assuming d is positive.
d**(-434)
Simplify q**(-29)*q*q*q**(-7)*q**(6/13)*(q**(-4/5)/q)/q assuming q is positive.
q**(-2362/65)
Simplify (s*s/(s/(s/(s*s**(-2/17))))*s**(-1/6)*s*(s/(s/s**8*s)*s)/s**(-2/19))**46 assuming s is positive.
s**(448247/969)
Simplify ((f/f**(-2/11)*f)/(f*f/f**(1/33)))**(-2/51) assuming f is positive.
f**(-14/1683)
Simplify (u**(-1/26)/u**(-6/13))/((u/(u/(u*u/u**15*u*u)))/u*(u*u*u/u**(1/16))/u) assuming u is positive.
u**(2181/208)
Simplify ((s*s*(s**(-29)*s)/s)/(s**(5/7)*s))/((s*s**(2/5)*s)/(s/(s*s**(3/10)))) assuming s is positive.
s**(-2199/70)
Simplify (((y**(-1))**(-13/3))**9)**30 assuming y is po
|
{
"pile_set_name": "DM Mathematics"
}
|
ms in 10533*g**2 + 6581*g**2 - 28318*g**2.
-11204*g**2
Collect the terms in -315*q - 51130*q + 6547*q - 11520*q.
-56418*q
Collect the terms in 3141*j**2 + 15*j - 2617 + 2617 - 3*j - 15*j.
3141*j**2 - 3*j
Collect the terms in -641*s**3 - 202*s**3 - 331*s**3 + 1980*s**3.
806*s**3
Collect the terms in -89*o**2 + 110*o**2 + 8*o - 230*o**2 - 8*o.
-209*o**2
Collect the terms in -99930*y**2 + 19991*y**2 + 19991*y**2 + 19995*y**2 - 9*y**3 + 19959*y**2 + 19994*y**2.
-9*y**3
Collect the terms in -4*t**2 + 17*t**3 + 1922*t + 2*t**2 - 30*t**3 + 11*t**3.
-2*t**3 - 2*t**2 + 1922*t
Collect the terms in -4 - 5 + 3 + 271*y + 139*y.
410*y - 6
Collect the terms in 5*k**2 + 875*k + 233*k + 35*k**2 - 36*k**2 - 1108*k.
4*k**2
Collect the terms in -13*s - 197*s**2 + 79*s**2 + 13*s - 165*s**2.
-283*s**2
Collect the terms in -6656 + 83*a - 291*a + 205*a + 2*a**3.
2*a**3 - 3*a - 6656
Collect the terms in -20382*z - 20482*z + 40886*z.
22*z
Collect the terms in 2101*d - 1116 + 3350 - 1111 - 1123.
2101*d
Collect the terms in 49 + 55 + 143*h + 60 + 50 - 214.
143*h
Collect the terms in -771*q - 1021*q - 1013*q + 2805*q - 84*q**2.
-84*q**2
Collect the terms in -348*y**2 + 1391*y**2 - 352*y**2 - 353*y**2 - 347*y**2.
-9*y**2
Collect the terms in -6878*t - 8793*t**2 + 6878*t - 1.
-8793*t**2 - 1
Collect the terms in -1083839*j**2 - 992223*j**2 - 2060069*j**2 - 505865*j**2.
-4641996*j**2
Collect the terms in 13545*w**2 - 2711*w**2 - 2705*w**2 - 2705*w**2 - 2706*w**2 - 2717*w**2.
w**2
Collect the terms in 188*a**2 + 1306*a**2 + 2541*a**2 + 7461*a**2.
11496*a**2
Collect the terms in 1100*v**3 - 353*v**3 - 360*v**3 - 359*v**3.
28*v**3
Collect the terms in 3*b**2 + 513 + 0*b**2 - 211 - 5*b**2 - 152 - 150.
-2*b**2
Collect the terms in -402492*h**2 + 911*h**3 + 2494*h**3 + 402492*h**2.
3405*h**3
Collect the terms in 188*t**2 + 185*t**2 + 409*t**3 + 182*t**2 - 555*t**2.
409*t**3
Collect the terms in 511 + 5880124*h - 511 - 5880123*h.
h
Collect the terms in 6287*z - 9472*z - 4845*z - 3093*z - 16838*z.
-27961*z
Collect the terms in -4077*s**2 + 5527*s**2 + 7309*s**2 + 10688*s**2.
19447*s**2
Collect the terms in 3490014*b**3 - 1745062*b**3 - 1745027*b**3.
-75*b**3
Collect the terms in -123*s**2 + 10*s**2 + 19*s**2 + 16*s**2 - 2 + 5*s**2 + 28*s**2.
-45*s**2 - 2
Collect the terms in 2*f**2 - 4 + f - 168*f**2 + 166*f**2 - 616*f**3.
-616*f**3 + f - 4
Collect the terms in 3*w - 459364*w**2 - 38480*w**2 - 3*w.
-497844*w**2
Collect the terms in -338*i - 341*i - 347*i + 1348*i - 322*i + 4*i**2.
4*i**2
Collect the terms in -h**2 - 446 - 2414 + 594 - 1063.
-h**2 - 3329
Collect the terms in 457*b - 1 + 147 + 50.
457*b + 196
Collect the terms in 2048849*q**2 - 1026623*q**2 - 1022222*q**2.
4*q**2
Collect the terms in -1 + 4 - 1072*x**2 - 1 + 7155*x**2.
6083*x**2 + 2
Collect the terms in 4525*b - 13557*b + 2 + 4524*b + 4520*b.
12*b + 2
Collect the terms in 2 + 6230347*j**3 - 2 - 6229651*j**3 - 4*j.
696*j**3 - 4*j
Collect the terms in 250 - 123 - 62230*q - 127.
-62230*q
Collect the terms in -1891 + 2768 - 863 + x.
x + 14
Collect the terms in 20*c**2 + 6103*c + 7*c**2 - 6103*c + 34757 - 34757.
27*c**2
Collect the terms in -3 - 11 - 5860*m + 1849*m + 14.
-4011*m
Collect the terms in -758 + 2631 - 1119 - 369*d**3 - 754.
-369*d**3
Collect the terms in -2153*z**2 + 5909*z**2 - z**3 - 3716*z**2.
-z**3 + 40*z**2
Collect the terms in -4*b**3 - 547451578*b**2 + 547450733*b**2 + 5*b**3.
b**3 - 845*b**2
Collect the terms in -i**2 + 2*i**2 + 17 + 7203*i - 2408*i - 2430*i - 2365*i.
i**2 + 17
Collect the terms in -7*z**2 + 0*z**2 + 3*z**2 + 889 - 449 - 440.
-4*z**2
Collect the terms in -2*u + 803527065463 - 803527065463.
-2*u
Collect the terms in 758259*m**3 + 758443*m**3 + 758459*m**3 - 2275146*m**3.
15*m**3
Collect the terms in 22*b**3 - 25 + 12 + 32*b**3 + 5 + 7.
54*b**3 - 1
Collect the terms in 4*s - 14*s**2 + 22*s - 12*s + 17*s**2 - 14*s + 256.
3*s**2 + 256
Collect the terms in 288*b - 41*b**2 + 6*b**2 - 288*b + 20*b**2.
-15*b**2
Collect the terms in 473 - 15*c**3 + 5*c**3 + 1073 + 7*c**3.
-3*c**3 + 1546
Collect the terms in 15623*w**2 - 45*w - 11499*w**2 - 4127*w**2 + 45*w.
-3*w**2
Collect the terms in 9052 - 254*p + p**2 + 258*p - 9052.
p**2 + 4*p
Collect the terms in -1616*o**2 + 1331*o**2 - 2542*o**2.
-2827*o**2
Collect the terms in -365*m - 2319122 + 2319122.
-365*m
Collect the terms in -86527 + 86527 + 4626*x - 4626*x + 54*x**2.
54*x**2
Collect the terms in 691*z**3 + 745*z**2 - 557*z**3 - 745*z**2.
134*z**3
Collect the terms in 1074*n + 22260*n + 4589*n.
27923*n
Collect the terms in -3*d + 4*d + 167600144*d**2 - 167600210*d**2.
-66*d**2 + d
Collect the terms in -32 + 235 - 63 - 2*l + 0*l + 120.
-2*l + 260
Collect the terms in -3 + 3 + 26109*t - 29893*t.
-3784*t
Collect the terms in -292 - 37566*k + 291 + 271967*k - k**2.
-k**2 + 234401*k - 1
Collect the terms in 161*x - 68 - 90 + 164.
161*x + 6
Collect the terms in 232 - 116 - 116 - 394080*a.
-394080*a
Collect the terms in 40305 - 2*g + 50750 + 40309 - 131364.
-2*g
Collect the terms in 3*j - 3*j**2 + 9*j - 264 - 200.
-3*j**2 + 12*j - 464
Collect the terms in -3*m + 4*m + 170*m**2 + 8662*m**2 + 744*m**2.
9576*m**2 + m
Collect the terms in -4173*y + 3113*y - 4535*y - 1615*y.
-7210*y
Collect the terms in 19298*s - 19302*s + 377 + 678.
-4*s + 1055
Collect the terms in -358*u - 184*u - 13 - 5*u**2 + 3*u**2 + 9*u**2.
7*u**2 - 542*u - 13
Collect the terms in -180099*u + 540260*u - 180080*u - 180086*u.
-5*u
Collect the terms in -60 + 38 - 8 - 13*n - n + 30.
-14*n
Collect the terms in 23 - 2 - 1 - 13867*g**3 - 20 + 13871*g**3.
4*g**3
Collect the terms in 85012356262*l - 6*l**3 - 85012356262*l.
-6*l**3
Collect the terms in -34611 - i**2 + 78*i - 114*i + 34*i.
-i**2 - 2*i - 34611
Collect the terms in 343 + 201 + 108 + 173 - 5*b.
-5*b + 825
Collect the terms in 1215*q + 68746 - 137499 + 68753.
1215*q
Collect the terms in 0*t + 0*t - 2*t + 225231*t**2 + 181113*t**2.
406344*t**2 - 2*t
Collect the terms in 206*r**2 + 0 + 499*r**2 + 3 - 7*r.
705*r**2 - 7*r + 3
Collect the terms in -2*f - 6565 + 13106 - 6580.
-2*f - 39
Collect the terms in -4*v**2 + 3 - 17 + 396*v - 11*v + 14.
-4*v**2 + 385*v
Collect the terms in 168173*l**2 + 50328*l**2 + 19133*l**2.
237634*l**2
Collect the terms in 44917296252*w**2 - 8*w**3 - 44917296252*w**2.
-8*w**3
Collect the terms in 2*n**3 + 160*n**2 - 113*n**2 - 47*n**2 + 318.
2*n**3 + 318
Collect the terms in 46 + 15 - 46 - 58 + 43 + 4*h.
4*h
Collect the terms in -492*n**3 + 1472*n**3 - 493*n**3 - n**2 - 477*n**3.
10*n**3 - n**2
Collect the terms in 2*j**3 + 142939*j**2 - 142939*j**2.
2*j**3
Collect the terms in -5*x**2 + 19*x**3 - x**2 + 29*x - 4*x**2 + 3*x**2 - 7*x**2.
19*x**3 - 14*x**2 + 29*x
Collect the terms in -6599 - 217*d + 219*d + 1012 + 9504 + 10896.
2*d + 14813
Collect the terms in 1559 - 521 - 533 + 440*x - 514.
440*x - 9
Collect the terms in 1016*h**2 + 1031*h**2 + 1017*h**2 - 5068*h**2 + 1018*h**2 + 1006*h**2.
20*h**2
Collect the terms in 6*z - 86*z**2 - 54*z**2 - 84*z**2 - 2*z**3 + 320*z**2 - 6*z.
-2*z**3 + 96*z**2
Collect the terms in 651 + 10*m - 324 - 315.
10*m + 12
Collect the terms in -812859*l + 406430*l + 20*l**2 + 28*l**2 + 406429*l.
48*l**2
Collect the terms in -6359*c**3 + 12730*c**3 - 6372*c**3.
-c**3
Collect the terms in -140*x - 203*x + 486*x - 351*x.
-208*x
Collect the terms in -7*p - 10*p + 17*p + 469776*p**3 - 154470*p**3.
315306*p**3
Collect the terms in -86004723 + 13*p + 86004723.
13*p
Collect the terms in 1535347*m**2 - 511838*m**2 - 511883*m**2 - 511771*m**2.
-145*m**2
Collect the terms in -54116461 - 284*l + 54116461.
-284*l
Collect the terms in 199 - 1159*v - 199 - 1240*v - 738*v.
-3137*v
Collect the terms in 2494*g + 4671*g + 1744*g - 1755*g + 2870*g.
10024*g
Collect the terms in 4*a - 411 - 285 - 8*a - 297 + 7*a.
3*a - 993
Collect the terms in 3*o**3 + 1108777*o + 1108873*o - 2217650*o + 4*o**3.
7*o**3
Collect the terms in 1427773 + 73*k - 713879 - 713894.
73*k
Collect the terms in -4738 - 4714 - 4*n**3 - 32*n**3 + 9454.
-36*n**3 + 2
Collect the terms in 4*w**2 + 2633*w + 2 - 2618*w - w**2 - 3 + 1.
3*w**2 + 15*w
Collect the terms in -15317893*g**3 - 3087*g**2 + 15317867*g**3 + 3087*g**2.
-26*g**3
Collect the terms in 396 - 3*k - 405 + 612 + 2218.
-3*k + 2821
Collect the terms in -178*j**2 - 3 + 18*j**3
|
{
"pile_set_name": "DM Mathematics"
}
|
ect the terms in 15401*w**3 + 11434*w**3 - 3005*w**3.
23830*w**3
Collect the terms in 5651*d - 2629*d + 3109*d.
6131*d
Collect the terms in 7583*v**2 + 6541*v**2 - 14126*v**2.
-2*v**2
Collect the terms in -17 + 145*v + 58 - 15 - 26.
145*v
Collect the terms in -3524*s**2 - s + 6947*s**2 - 3506*s**2.
-83*s**2 - s
Collect the terms in 6630934*f - 6630934*f - 9*f**2.
-9*f**2
Collect the terms in 22*u - 156 - 34*u + 18*u + 156.
6*u
Collect the terms in 746*x - 249*x - 251*x - 258*x.
-12*x
Collect the terms in -3365*r**2 + 65 - 2*r + 769*r**2 - 65.
-2596*r**2 - 2*r
Collect the terms in 1563*i**3 - 1564*i**3 + 198*i - 180*i.
-i**3 + 18*i
Collect the terms in 106562 - 134*b - 106562.
-134*b
Collect the terms in 64*h + 128*h + 82*h - 63*h - 3*h.
208*h
Collect the terms in 517*j**3 - 166*j**3 - 163*j**3.
188*j**3
Collect the terms in -13*r - 139*r**3 - 6*r + 11*r + 8*r.
-139*r**3
Collect the terms in -n**3 + 4*n**3 - 2*n**2 + 0*n**2 + 70 + 3*n**2.
3*n**3 + n**2 + 70
Collect the terms in 27 - 11 + 148*t - 16 - 152*t.
-4*t
Collect the terms in 220*p**2 - 440*p**2 - 3 + 221*p**2.
p**2 - 3
Collect the terms in -1 - 235*l**3 + 168*l**3 + 68*l**3.
l**3 - 1
Collect the terms in 528*m**2 + 365*m**2 - 879*m**2.
14*m**2
Collect the terms in -45*c**3 + 12*c**3 - 30 + 2*c**2 - 2 + 0.
-33*c**3 + 2*c**2 - 32
Collect the terms in 25 - 3*z + 4*z + 2*z - 60.
3*z - 35
Collect the terms in -93721 - 2*y + 93721.
-2*y
Collect the terms in 138*r + 145*r - 513*r + 88*r + 145*r.
3*r
Collect the terms in -40*a + 160*a - 42*a - 36*a - 43*a.
-a
Collect the terms in 3 + 828*n**3 - 844*n**3 - 3.
-16*n**3
Collect the terms in 14*v**2 + 4*v**2 - 42*v**2 - v**2 + 13*v**2 + 11*v**2.
-v**2
Collect the terms in 4 - 20*y**2 - 4 - 50*y**2 + 0.
-70*y**2
Collect the terms in -3*n**2 - 77*n + 0*n**2 + 2 - 82*n + 249*n - 90*n.
-3*n**2 + 2
Collect the terms in -12*i + 6*i - 3*i**3 + 6*i - 11*i**3.
-14*i**3
Collect the terms in 33 - 1351*m**2 + 1871*m - 1871*m - 33.
-1351*m**2
Collect the terms in -439*i**3 + 585*i**3 + 37*i**2 - 881*i**3 - 647*i**3 - 38*i**2.
-1382*i**3 - i**2
Collect the terms in 0 + 138*g**2 + 0 - 20*g - 36*g.
138*g**2 - 56*g
Collect the terms in 100913 + 454*i**2 - 449*i**2 - 100913.
5*i**2
Collect the terms in 31*j**2 - 15*j**2 - j + 705*j**3 - 16*j**2.
705*j**3 - j
Collect the terms in 214*c - 147*c + 265*c.
332*c
Collect the terms in -429*d**3 + 358*d**3 - 11414 + 11414.
-71*d**3
Collect the terms in -27213*o + 27213*o - o**2.
-o**2
Collect the terms in -9*s - 6*s + 13*s + 42.
-2*s + 42
Collect the terms in 0*t**2 + 27 - 13 - 53*t**2 - 4*t.
-53*t**2 - 4*t + 14
Collect the terms in -238*i + 476*i - 2 - 233*i**2 - 238*i.
-233*i**2 - 2
Collect the terms in 858 + 735 - 1140 + 2*u**3.
2*u**3 + 453
Collect the terms in -2095*o - 2094*o - 2104*o + 6324*o - 18 + 18.
31*o
Collect the terms in -3*c**2 + 0 + 3*c**2 + 4 + 2*c**2.
2*c**2 + 4
Collect the terms in -142131*r + 142133*r - 3 + 3.
2*r
Collect the terms in 3222*a**3 + 3248*a**3 + 3249*a**3 - 9717*a**3.
2*a**3
Collect the terms in 12*g**3 - 18*g**3 + 9*g**3 - 13*g + 13*g.
3*g**3
Collect the terms in -2 + 8*r - 5 + 14*r - 33*r + 18*r.
7*r - 7
Collect the terms in -7*m + 985*m**3 + 7*m - 4*m**3.
981*m**3
Collect the terms in 2560 - 1323 + n**3 - 1303 - 3*n**3.
-2*n**3 - 66
Collect the terms in 4 + i + 56*i**2 - i - 48*i**2.
8*i**2 + 4
Collect the terms in 17662 - 17662 - 5193*m.
-5193*m
Collect the terms in 288*m**3 - 280*m**3 - 270*m**3.
-262*m**3
Collect the terms in 53*c - c**3 + 27*c - 132*c + 21*c + 31*c.
-c**3
Collect the terms in -191*u**2 - 384*u**2 + 117*u**2 - 448*u**2.
-906*u**2
Collect the terms in -2 + 502*c**2 + 31*c**3 + 3 - 502*c**2.
31*c**3 + 1
Collect the terms in 3*t - 13289*t**2 + 13299*t**2 - 4*t.
10*t**2 - t
Collect the terms in 11*l + 3*l + 2*l - 29*l + 18*l.
5*l
Collect the terms in -230*n**2 + 75*n**2 + 75*n**2 - 31*n**3 + 80*n**2.
-31*n**3
Collect the terms in -418791*l + 209402*l + 209409*l.
20*l
Collect the terms in -202*b - 8 - 322*b + 8 - 56*b.
-580*b
Collect the terms in -16291905*x**3 + 16291910*x**3 + 0 + 0.
5*x**3
Collect the terms in 0*q + 2 + q - q - 11455*q**2.
-11455*q**2 + 2
Collect the terms in -67*r**2 + 476 + 74*r**2 - r**2 - 3*r**2 - 476.
3*r**2
Collect the terms in 11*b**3 - 3607746*b**2 + 3607746*b**2.
11*b**3
Collect the terms in -4211*l**2 + 8467*l**2 - 4214*l**2.
42*l**2
Collect the terms in -14 - 30542*o + 14.
-30542*o
Collect the terms in 850*a - 2277*a + 1427*a + 28*a**3.
28*a**3
Collect the terms in -4 + 4 - 50580*a + 101154*a - 50579*a.
-5*a
Collect the terms in 2588*t**3 - 1268*t**3 - 1290*t**3.
30*t**3
Collect the terms in 128*u**2 + 4*u + 13*u + 9*u - 26*u.
128*u**2
Collect the terms in 0*n**2 - 6515*n**3 + 0*n**2 - 6474*n**3 - 2*n + 12976*n**3.
-13*n**3 - 2*n
Collect the terms in -608*p - 647*p + 1221*p.
-34*p
Collect the terms in 0 + 33*q**3 + 260624*q - 260624*q + 0.
33*q**3
Collect the terms in -100 - 13 + 12 + 30 - w - 6*w.
-7*w - 71
Collect the terms in 6*s - 47*s**3 + 358*s**3 - 7*s.
311*s**3 - s
Collect the terms in -7*p**2 + 9*p**2 - 17*p**2.
-15*p**2
Collect the terms in -18*s - 23*s - 11*s + 92*s - 20*s.
20*s
Collect the terms in -q**3 - 202*q**3 - 82*q**3 - 431*q**3.
-716*q**3
Collect the terms in 1614*j + 1620*j - 3175*j.
59*j
Collect the terms in -57*w**3 - 2289372*w**2 + 2289372*w**2.
-57*w**3
Collect the terms in 23*f**2 + 1203816 - 1203816.
23*f**2
Collect the terms in 2*f - 2*f + 0*f + 4786*f**2.
4786*f**2
Collect the terms in -21*c + 11*c + 7*c + 56.
-3*c + 56
Collect the terms in 62*v + 91*v + 17*v + 456*v + 57*v.
683*v
Collect the terms in -644858*q - 26*q**2 + 644858*q.
-26*q**2
Collect the terms in -3*m**3 + 2*m**3 + 386*m**2 + 392*m**2 - 778*m**2.
-m**3
Collect the terms in 77506*r**3 - 3*r**2 + 2*r**2 - 77510*r**3 + r**2.
-4*r**3
Collect the terms in -2660 + 128*r**3 + 1330 + 253*r**3 + 1330.
381*r**3
Collect the terms in 23 + 28 - 51 + 14*p**2.
14*p**2
Collect the terms in 439*f**2 - 104*f**2 - 26 - 170*f**2 - 167*f**2 + 26.
-2*f**2
Collect the terms in -10*m - 29*m + 10*m - 71*m.
-100*m
Collect the terms in 44606*v + 3 - 8 + 10.
44606*v + 5
Collect the terms in 10 + 3416*l - 11 + 2*l**3 - 3416*l + 1.
2*l**3
Collect the terms in -78976*r + 27246*r + 2468 - 2470.
-51730*r - 2
Collect the terms in 3 + 610*u - 602*u - 7 + 4.
8*u
Collect the terms in -233*t**2 - 19*t**3 + 233*t**2 + 8*t**3 + 10*t**3.
-t**3
Collect the terms in -921*g + 57*g + 26*g.
-838*g
Collect the terms in -2733*j**2 + 5428*j**2 + j**3 - 2695*j**2.
j**3
Collect the terms in 605*c**2 - 285*c**3 - 605*c**2.
-285*c**3
Collect the terms in 2*y - 4374 + 2*y + 8755 - 4378.
4*y + 3
Collect the terms in -v + 360 - 782 + 398.
-v - 24
Collect the terms in 3056*j**3 - 8421*j**2 + 8421*j**2.
3056*j**3
Collect the terms in 64*n - 5 + 0 + 28*n + 16*n.
108*n - 5
Collect the terms in 16*x - 231*x + 44*x + 36*x + 43*x + 45*x + 48*x.
x
Collect the terms in -115 + 165 - 50 - 8*z.
-8*z
Collect the terms in 389 - 874 - 2*r + 445.
-2*r - 40
Collect the terms in 3662*x**3 - 1236*x**3 - 1188*x**3 - 1239*x**3.
-x**3
Collect the terms in -118 - 202 - 203 + 523 - 15*y**2 - y**2.
-16*y**2
Collect the terms in 64*j + 96*j + 285 - 287 + j**3.
j**3 + 160*j - 2
Collect the terms in -1 - 9 + 4*h + 2 + 10*h + 10.
14*h + 2
Collect the terms in 241*n**2 - 241*n**2 + 9110*n**3.
9110*n**3
Collect the terms in -128*a + 48*a - 66*a - 122*a - 108*a.
-376*a
Collect the terms in 97497 - 13*x**3 - 97497.
-13*x**3
Collect the terms in -15*g - 547510698 + 547510698.
-15*g
Collect the terms in -44*c - 145*c**3 - 40*c**3 + 22*c + 15*c.
-185*c**3 - 7*c
Collect the terms in 151 + 87 - p - 238 - 2*p.
-3*p
Collect the terms in q**2 - 22*q - 997*q**3 - q**2 + 36*q + 996*q**3.
-q**3 + 14*q
Collect the terms in 277*t - 902*t + 627*t.
2*t
Collect the terms in -2*t + 285 + 311 - 128.
-2*t + 468
Collect the terms in 0*r + 6810*r**2 + 2140*r**2 + 0*r.
8950*r**2
Collect the terms in -40948*b + 20479*b + 20471*b + b**3.
b**3 + 2*b
Collect the terms in 314 + 53 - 415 + 2*p**2 + 48 - p**2.
p**2
Collect the terms in -g**2 - 66*g - 62*g - 67*g + 195*g.
-g**2
Collect the terms in -10280*j + 7279*j - 12342*j.
-15343*j
Collect the terms in 2*a**3 - 6*a**3 + 2*a - 2*a + 11*a**3.
7*a**3
Collect the terms in -3425 - 3429 - 24*z + 10267 - 3413.
-2
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 6*c**2 + 2. Let v(z) be the second derivative of -z**5/20 + 7*z**4/12 + z**2 + 103*z - 3. Give 5*s(k) - 4*v(k).
-k**3 + 2*k**2 + 2
Let w(j) = -j + 92 + 98 - 194. Let m(b) = -b**3 + b**2 + b + 10. Let z be m(3). Let f(i) = i + 3. Calculate z*w(u) - 6*f(u).
-u + 2
Let b(q) = -12*q - 6. Let c(i) = 11*i + 7. Suppose 0 = -15*w + 3*m - 81, -39*w + 37*w = 5*m. What is w*b(u) - 4*c(u)?
16*u + 2
Let a(l) = 14*l + 296. Let f(s) = -24*s - 588. Calculate -5*a(j) - 3*f(j).
2*j + 284
Let h(l) = -7*l + 6. Let r be ((-23)/(-46))/((-2)/(-20)). Let d(c) = -c + 1. Give r*d(t) - h(t).
2*t - 1
Let j be ((2/20)/(41/(-410)))/(1*-1). Let o(c) = 16*c + 2. Let l(h) = h - 1. Determine j*o(m) + 3*l(m).
19*m - 1
Let c(i) = -4*i**2 + 9*i + 1. Let l = 168 - 162. Let h(z) = l*z**2 + 338*z - 1 - 169*z - 183*z. Give 8*c(w) + 5*h(w).
-2*w**2 + 2*w + 3
Let b(a) = -8563*a. Let l(j) = -55042962*j. Give -25713*b(p) + 4*l(p).
8571*p
Suppose 0 = 5*q, 4*q - 1 = -r - 2. Let j(w) = -3798 - 3794 + 6*w + 11369 - 3789. Let m(l) = -l + 1. What is r*j(a) - 12*m(a)?
6*a
Let a(d) = -9*d - 54. Let r(o) = o**2 + 973*o + 11537. Let c be r(-12). Let y(m) = -4*m - 27. Give c*y(q) - 2*a(q).
-2*q - 27
Let q(m) = -876*m**3 - 12*m**2 + 13*m + 7. Let w(s) = -439*s**3 - 5*s**2 + 6*s + 3. Calculate -3*q(d) + 7*w(d).
-445*d**3 + d**2 + 3*d
Let r(p) = -1. Let c(y) = -2*y**2 + 6*y - 5. Let h(k) = 20*k - 99. Let g be 3*((-12)/(-90) - 46/(-30)). Let u be h(g). Calculate u*c(t) - 4*r(t).
-2*t**2 + 6*t - 1
Suppose 5*a - 7 - 8 = 0. Let l(i) = 2*i**3 + 3*i**2 + 2. Let q(d) = -10*d**3 - 14*d**2 - 10. What is a*q(u) + 16*l(u)?
2*u**3 + 6*u**2 + 2
Let q(o) = -10*o**2 - 9. Let g(x) = 1. Suppose -4*d - 70*f = -63*f + 36, d + f + 6 = 0. What is d*q(a) - 18*g(a)?
20*a**2
Let d(t) = 4*t**3 + 5*t**2 + 24*t + 6. Let f(j) = -17*j**3 - 21*j**2 - 98*j - 24. Determine 9*d(n) + 2*f(n).
2*n**3 + 3*n**2 + 20*n + 6
Let b(k) = -11*k**3 + 3*k**2 - 5*k + 29. Let d(q) = 33*q**3 - 11*q**2 + 16*q - 97. What is 10*b(g) + 3*d(g)?
-11*g**3 - 3*g**2 - 2*g - 1
Let z(u) = -17*u**3 + 12*u**2 + 4*u + 6. Let l(j) = -69*j**3 + 54*j**2 + 18*j + 24. What is -4*l(m) + 18*z(m)?
-30*m**3 + 12
Let n = 1 + 4. Let j(c) = 6*c - 2*c + 2 - 23 + 6*c + 33. Let u(g) = -3*g - 4. Determine n*j(d) + 16*u(d).
2*d - 4
Let n(q) = -615*q**3 - q**2 + q - 4. Let p(g) = 2463*g**3 + 5*g**2 - 4*g + 15. What is 11*n(y) + 3*p(y)?
624*y**3 + 4*y**2 - y + 1
Let v(k) be the first derivative of -57 + 1/2*k**2 - 4*k. Let o(q) = -3*q + 13. What is -2*o(r) - 7*v(r)?
-r + 2
Let f(s) = -37*s + 149. Let h(n) = -28*n + 147. Give -4*f(d) + 5*h(d).
8*d + 139
Let n = -20919 - -20918. Let u(g) = 1. Let o(k) = 4*k**3 + k - 3. Determine n*o(q) - 3*u(q).
-4*q**3 - q
Let j(w) = 2*w**3 + 6*w**2 + 14*w - 1. Let f(p) = -2*p**3 - 6*p**2 - 18*p. What is -3*f(v) - 4*j(v)?
-2*v**3 - 6*v**2 - 2*v + 4
Let j(y) be the second derivative of 7*y**3/6 - 2*y**2 - 4*y. Let m(r) = -8*r + 4. Suppose -402*s = -398*s + 24. Give s*j(c) - 5*m(c).
-2*c + 4
Let n(j) = -51*j**2 + 37*j - 30. Let i(o) = -51*o**2 + 36*o - 24. Give -5*i(p) + 4*n(p).
51*p**2 - 32*p
Let f(z) = 936*z + 55 + 968*z + 296*z - 55. Let y(p) = 83*p. Give 5*f(x) - 132*y(x).
44*x
Let w(b) = b**2 - 3*b - 9. Let h be (1 + 0)*(-2 - 8191). Let y = -5256 - h. Let u(t) = 1 - 5 - 2938*t + y*t. Give 5*u(r) - 2*w(r).
-2*r**2 + r - 2
Let b(p) = -5*p**3 + 16*p**2 - 66*p - 13. Let i(n) = 6*n**3 - 19*n**2 + 64*n + 16. What is -5*b(v) - 4*i(v)?
v**3 - 4*v**2 + 74*v + 1
Let i(m) = -m**2 + 4*m + 1. Let y(k) = 2*k**2 - 13*k + 1038. Determine -3*i(p) - y(p).
p**2 + p - 1041
Let i(q) be the third derivative of 19*q**5/60 - q**4/8 - 453*q**2. Let x(k) = -286*k**2 + 44*k. What is 44*i(j) + 3*x(j)?
-22*j**2
Let z(y) = 3*y - 5*y - 4*y**2 + 2*y**2 + 6. Let b(q) = 111. Let g(o) = 5. Let t(n) = -b(n) + 22*g(n). Give -6*t(f) - z(f).
2*f**2 + 2*f
Let u(i) = i - 1. Let s(o) = -4*o + 6. Let m = -2 - -5. Let x be 4 - m/2*4. Let y be (0 - 1)*(-3 + x). Calculate y*u(q) + s(q).
q + 1
Let p(b) be the third derivative of -b**4/8 + b**3/3 + 1280*b**2. Let q(r) = -6*r + 4. What is 5*p(v) - 2*q(v)?
-3*v + 2
Let c(i) = 7*i**2 - 10*i - 3. Let v(x) = -11*x**2 + 15*x + 5. Suppose 133*s + 23*s = -104*s + 2080. What is s*c(h) + 5*v(h)?
h**2 - 5*h + 1
Let m(k) = 76*k**3 + 11*k**2 - 11*k. Let t(x) = -25*x**3 - 4*x**2 + 4*x. Let l(h) = h**2 - 166*h + 2389. Let d be l(16). What is d*t(u) - 4*m(u)?
-29*u**3
Let j(w) = 17*w**2 - w + 3. Let g(l) = -501*l + 6014. Let y be g(12). Let b(z) = 17*z**2 - z + 2. What is y*j(u) - 3*b(u)?
-17*u**2 + u
Let x(b) = 14*b**3 + 55*b + 412. Let k(j) = 5*j**3 + 21*j + 137. What is -8*k(v) + 3*x(v)?
2*v**3 - 3*v + 140
Let y(v) = -1. Let b = -2 - -1. Let q(a) = -8 - 4208*a - 8 + 2109*a + 2105*a + 23 - 10. Calculate b*q(n) + 3*y(n).
-6*n
Let u(g) = 34*g**2 - 57998 + 57987 - 7*g**2. Let s(b) = 14*b**2 - 5. Calculate 9*s(a) - 4*u(a).
18*a**2 - 1
Let j(r) = r**2 - r. Let p(a) = 36*a**3 + 9*a**2 - 39*a - 6. Let b(v) = -v**3 + 5*v + 1. Let n(k) = 6*b(k) + p(k). Determine -9*j(g) + n(g).
30*g**3
Let z(v) = 11*v**2 + 5*v - 7. Let x(j) = 5*j**2 - 4*j - 3. Calculate -9*x(g) + 4*z(g).
-g**2 + 56*g - 1
Let c(u) = -14*u**2 - 7*u + 6. Let t(o) = 70*o**2 + 34*o - 28. Calculate -14*c(l) - 3*t(l).
-14*l**2 - 4*l
Let h(u) = -45*u + 21. Let p be h(8). Let g = p + 344. Let m(w) = w + 3. Let k(r) = -2*r - 4. Determine g*k(f) + 8*m(f).
-2*f + 4
Let g(v) = v**3 - 14*v**2 - 10*v - 63. Let d(z) = -z**3 + 5*z**2 + 3*z + 22. What is 17*d(q) + 6*g(q)?
-11*q**3 + q**2 - 9*q - 4
Let p(k) = 6*k - 1. Let n(a) = 4 - 4 - 117*a + 122*a. What is 5*n(j) - 4*p(j)?
j + 4
Let b(u) = 297*u + 5. Let m(n) = 298*n + 6. What is -5*b(d) + 4*m(d)?
-293*d - 1
Let h(b) = 9*b**3 + 15*b**2 + 1809*b. Let j(y) = -8*y**3 - 12*y**2 - 1811*y. Calculate -4*h(l) - 5*j(l).
4*l**3 + 1819*l
Let h(m) = -12*m**3 + 17*m - 9. Let i(j) = -3*j**3 + 4*j - 2. Let f = 185 + -154. Let b = f + -33. Calculate b*h(t) + 9*i(t).
-3*t**3 + 2*t
Let c(a) be the second derivative of a**5/20 + 5*a**4/12 - a**3 + 127*a. Let j(s) = s**3 + 4*s**2 - 5*s. Let z be 0/(-3) - (6 - 0). Determine z*j(n) + 5*c(n).
-n**3 + n**2
Let h(o) = -19 + 6 - 1534*o + 1536*o. Let k(m) = -3*m + 13. Determine -6*h(b) - 5*k(b).
3*b + 13
Let o(g) = 3379*g**3 - 13*g + 10. Let z(f) = -2254*f**3 + 9*f - 7. Determine 5*o(t) + 7*z(t).
1117*t**3 - 2*t + 1
Let h(j) = 1750*j + 6. Let z(n) = 8293259*n + 28432. Calculate 14216*h(s) - 3*z(s).
-1777*s
Let u(c) = 24*c**3 + 11*c**2 + 15*c - 12. Let v(a) = -41*a**3 - 20*a**2 - 28*a + 25. Determine -7*u(l) - 4*v(l).
-4*l**3 + 3*l**2 + 7*l - 16
Let x(k) = -3*k**2 + 0 + 0 + 0 - k**3. Let w be 8*(3 - 14/4). Let z be (-6*w/48)/(1/4). Let r(s) = 4*s**3 + 13*s**2 - s. Determine z*r(c) + 9*x(c).
-c**3 - c**2 - 2*c
Let k(m) = m**2 + 1. Let a(f) = 40*f**2 - 4*f + 52. Let b(x) = -x + 1. Let s(z) = -2*a(z) + 8*b(z). What is 96*k(q) + s(q)?
16*q**2
Let u(y) = -30*y**2 - 15*y + 15. Let d(t) = -t**2 - t + 1. Suppose 1362 = 34*m + 852. Calculate m*d(w) - u(w).
15*w**2
Let r(z) = -25*z**3 - 2*z**2 + 7*z - 7. Let o(k) = -13*k**3 - k**2 + 4*k - 4. Let c = 3589 + -3596. Calculate c*o(y) + 4*r(y).
-9*y**3 - y**2
Suppose 0 = 3*x - 16*x - 65. Let t(n) = -29 + 13 + 12. Let j(s) = s - 9. Give x*t(b) + 2*j(b).
2*b + 2
Let k = -9374 + 9375. Let j(o) = 4*o**3 + 6*o**2 - 7*o + 5. Let x(r) = r**3 + r + 1 - 4*r**2 - 2*r + 5*r**2. What is k*j(t) - 6*x(t)?
-2*t**3 - t - 1
Let z(m) be the second derivative of m**4/12 - 13*m**3/3 - 3*m**2 + 176*m + 4. Let g(l) = -3*l**2 + 79*l + 17. Calculate 6*g(j) + 17*z(j).
-j**2 + 32*j
Let i(n) = -3*n - 114. Let x(b) = 4*b + 111. Determine 6*i(u) + 5*x(u).
2*u - 129
Let g(n) = -n. Suppose 2*w + 8*w + 5*w - 405 = 0. Let o(m) = 9*m**2 - 9*m. What is w*g(b) - 3*o(b)?
-27*b**2
Let g(w) = -52*w - 2462. Let q(k) = 68*k + 2459. Determine -4*g(c) - 3*q(c).
4*c + 2471
Let b(y) = -6*y + 1. Let o(a) be the third derivative of 0*a + 0 + 1/24*a**4 - 1/6*a**3 - 41*a**2. Give b(q) + 2*o(q).
-4*q - 1
Let v(i) = -5*i - 2. Let c(w) = 19*w + 7. Let d(g) = -g**3 - 64*g**2 - 54*g + 589. Let o be d(-63). Give o*v(u) + 6*c(u).
4*u - 2
Let h(u) = 2*u**2 - 26*u + 362. Let l(t) = -6*t**2 + 69*t - 1089. What is 8*h(r) + 3*l(r)?
-2*r**2 - r - 371
Let q(i) = -426*i**2 + 6*i + 15. Let k(d) = 848*d**2 - 11*d - 28. What is -6*k(g) - 11*q(g)?
-402*g**2 + 3
Let b
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{
"pile_set_name": "DM Mathematics"
}
|
and give w.
2
Rearrange -2*j + 5*j + 140*j**3 - 3*j**2 - j - 142*j**3 to u*j**2 + m*j + x*j**3 + w and give m.
2
Rearrange f**3 - 2*f**3 + 6*f + 2*f**3 + 3*f**2 - 4*f to the form s*f + j + a*f**2 + n*f**3 and give a.
3
Rearrange (-5 + 10 + 1 + (-6 + 1 + 3)*(-2 + 0 + 0))*(-2*q + 2*q + q**2) to g + u*q + s*q**2 and give s.
10
Express (4 - 4 - 2)*(2 + 1 + 2)*(-2*f**2 - f**2 - 2*f + 4*f**2) in the form c*f**2 + j*f + m and give j.
20
Rearrange 8*j + 3*j + 0*j + 5*j to q + o*j and give o.
16
Express -24*v**3 + 2 - 6*v**2 + 43*v**3 - 20*v**3 as g + y*v**3 + c*v + d*v**2 and give d.
-6
Rearrange (31 - 8 - 1)*(n**4 - 3*n**4 + 4*n**4) to the form v*n**4 + u*n**2 + b + l*n + g*n**3 and give g.
0
Rearrange p**4 + 2*p**4 - 4*p**4 + (2*p - p - 3*p)*(-p**2 + 2*p**3 + p**2) to g*p**3 + a*p + t*p**4 + y + x*p**2 and give t.
-5
Express 2*i - 9*i - 7*i - 4*i in the form l + v*i and give v.
-18
Express (-2 + 1 - 4)*(-2*z - 2*z**3 + 2*z)*(-23 + 23 + 14*z) in the form w*z + j*z**2 + a + t*z**4 + x*z**3 and give t.
140
Rearrange 9 + 4 - 12 + 6*b**2 to v*b + t*b**2 + d and give t.
6
Express -3*x + 3*x + 4*x - 2*x as t + f*x and give f.
2
Rearrange 77*n + 38*n - n to y + x*n and give y.
0
Rearrange (-3*v**2 + 3*v**2 - v**2)*(4 + 0 - 6)*(13*v - 70 + 70) to the form m*v**2 + r + z*v + q*v**3 and give q.
26
Express (-1 - 1 + 4)*(-c**2 + 2*c**2 - 3*c**2)*(23*c + 23*c - 48*c) in the form y + l*c + f*c**2 + u*c**3 and give u.
8
Express 33*s**2 + 39 - 39 as k*s + u + v*s**2 and give v.
33
Express -7*a + a**3 + 3*a + 2 + 3 - 2*a**2 + 0*a**2 in the form q + y*a + o*a**3 + p*a**2 and give p.
-2
Express 2*f**2 + 33 + 39 + f**4 - 73 + 2*f**3 in the form l*f**2 + z*f + u + d*f**4 + c*f**3 and give l.
2
Rearrange 2*j**2 + 15*j + 2*j**2 - 5*j**2 + 0*j to g*j**2 + a + t*j and give g.
-1
Rearrange (2 + i - 2 - 2*i**3)*(-2*i + 4*i - i - i + 2*i - 2*i + (-1 + i + 1)*(2 - 7 + 3) - 7*i - i + 4*i) to s*i + r*i**3 + p*i**2 + q + a*i**4 and give p.
-6
Express 13 - 13 + 5*a**2 in the form t*a**2 + j + k*a and give t.
5
Express 4*b**3 + 4*b + 2*b**2 - 3*b + 3*b**4 - 42 + 44 in the form q*b**4 + g*b**3 + x*b**2 + u*b + h and give h.
2
Express (3*c**3 - c**3 - 4*c**3)*(134*c - 268*c + 114*c) as o*c**3 + w*c**2 + r + l*c + g*c**4 and give g.
40
Express -6 + 10 - 4 - 14*l as z*l + u and give z.
-14
Rearrange -6*g**3 + 13*g**2 + 2*g + 4*g**3 - g to the form r*g + m*g**2 + o*g**3 + y and give r.
1
Express -2 - u**3 + 15*u**2 - 4*u - 13*u**2 - 2*u as h*u + s*u**2 + v*u**3 + c and give s.
2
Express (3*w - 2*w + 2*w)*(-8*w - w - 7*w) as x + p*w + d*w**2 and give d.
-48
Rearrange -6*t**2 + 2*t - t - t to the form p*t**2 + z*t + i and give p.
-6
Rearrange (6*j**2 - 2*j**2 - 3*j**2)*(-1 + 2 + 1)*(5*j + 14*j + 9*j) to the form i*j + t*j**3 + a*j**2 + o and give t.
56
Express 3*s**3 - 3*s**3 - 3*s**4 + (-11*s**2 + 4*s**2 + 3*s**2)*(3 - 3 + 2*s**2) in the form x*s + v*s**2 + d + a*s**3 + g*s**4 and give g.
-11
Express -20*g**2 + 1 + 0 + g - 4*g**2 + (-3 + 3 - 2*g)*(-g + 2 - 2) in the form s + u*g + o*g**2 and give u.
1
Express 36*b - 2*b**3 - 11*b - 1250*b**2 + 1248*b**2 as y + u*b + t*b**2 + c*b**3 and give u.
25
Express 12 - 14 - 3*q**2 + q**2 as h*q**2 + u*q + y and give u.
0
Rearrange (1 + 6*q - 2*q - 5*q)*(-18*q**2 + 14 + 21 - 34) to the form b*q + w + v*q**3 + s*q**2 and give w.
1
Rearrange -2 + c**4 - 3 + 0*c**2 + 6 + 4*c**2 + 2*c**3 to g*c**3 + m*c**2 + u*c + s + r*c**4 and give g.
2
Rearrange 231*a - 114*a - 118*a - 2*a**4 - a**2 to f + l*a**4 + b*a + v*a**2 + q*a**3 and give v.
-1
Rearrange 20*y - 35*y - 5*y - 33*y to v*y + g and give v.
-53
Rearrange -7*m**2 + 17*m**2 - 7*m**2 - 3 - 27 to q + t*m**2 + z*m and give t.
3
Express -10 + 17 - 7 - 13*d in the form r*d + i and give r.
-13
Express -7*t**2 + t**2 - 27*t**2 - 6*t**2 in the form b + z*t + m*t**2 and give m.
-39
Rearrange 0*i + i - 3*i + (-15*i - 7 + 7)*(-1 + 1 - 1) - 3*i + 2 + 0 + i to the form l*i + n and give l.
11
Rearrange (-p**4 - 2 + 2)*((-9 + 7 - 7)*(12 - 25 + 7) + 3 + 0 - 4 + (-1 + 2 + 0)*(4 - 1 - 4)) to the form w + o*p**2 + m*p**3 + c*p**4 + r*p and give m.
0
Express u**4 + 2*u - 1 - 2*u - 2*u**4 + 2*u**2 + 2*u**3 as d*u + r*u**2 + g*u**3 + v + t*u**4 and give v.
-1
Rearrange 18*u**2 + 44 - 21 - 22 to the form r + z*u**2 + y*u and give z.
18
Express 5*o + 3 + o - 7*o + (1 - 1 - 1)*(7*o + 2*o - 4*o) as j*o + l and give l.
3
Rearrange 1 - 10*l**4 + l**3 + l**3 + l**3 + l**2 + 12*l**4 to the form g*l**4 + t*l**2 + h*l**3 + q*l + b and give t.
1
Rearrange 7*s**2 + 3*s**2 + 4*s**2 + (9*s - 4*s + 3*s)*(-2 - s + 3*s - 3*s) to the form b + k*s**2 + y*s and give k.
6
Express (-58 - 13 + 25)*(3*q**3 + 0*q**2 + 0*q**2) in the form l*q + u*q**3 + f*q**2 + j and give u.
-138
Rearrange -2*n**2 - n + n + (22 + 2*n - 12 + 24)*(2*n + 2*n - 6*n) to x + r*n + t*n**2 and give r.
-68
Express (0*h**2 - 6*h**2 + 0*h**2)*(2*h**2 + 4*h - h**2 + 0*h) as g + o*h**4 + v*h**3 + w*h**2 + z*h and give v.
-24
Express 2*k**2 - 2*k + 0*k**2 - 8 - k**3 + 2*k in the form t*k**3 + v*k**2 + x + s*k and give x.
-8
Rearrange 10*n**3 - 7*n**3 - n**3 + 2*n**4 - 2*n**2 to the form q*n**4 + f*n**2 + r + c*n**3 + v*n and give f.
-2
Express 8*x - 7*x - 2*x as z*x + i and give z.
-1
Rearrange -6*v + 2*v + v + (0*v + 0*v + 2*v)*(0 - 3 - 2) to the form g + n*v and give n.
-13
Rearrange 1 - 60*z**2 - 4 + 58*z**2 - 11*z**3 to v*z**3 + k + m*z + j*z**2 and give v.
-11
Express (-3 - 161*a + 159*a + 3*a**2 + 1)*(-3 + 21 - 11) in the form o*a + h + g*a**2 and give o.
-14
Rearrange -337 + 3*n + 306 - 2*n + n to the form f + x*n and give x.
2
Rearrange 74*g + 2 - 12*g - 2 to o*g + f and give o.
62
Rearrange (-1 - 1 + 3)*(l - 4*l + 5*l + l + 2 - 2 + (-3*l + l + 0*l)*(-1 + 1 - 2) + l + l + 0*l - 62*l + 94 - 94) to u + s*l and give s.
-53
Express 2*o**3 - 3*o**3 + 4*o**3 + (-5*o**2 + o**2 + 3*o**2)*(2*o - o + 0*o) as l*o**3 + k*o**2 + j*o + a and give l.
2
Rearrange (21 - p - 21 + (2 - 5 + 2)*(-p + p + 2*p) + p + 5 - 5 + 2*p - 3*p - p)*(-3 + 7*p + 3) to the form r*p + d*p**2 + n and give d.
-28
Rearrange 3*g**4 + g - g + (2*g - 2*g - 2*g)*(0*g**3 - 2*g**3 + 0*g**3) + 4*g**3 + g**4 - 4*g**3 to d*g**4 + a*g + s + m*g**3 + i*g**2 and give d.
8
Express (1 - 4*g + 5*g - 2*g)*(1 - 1 - 2*g)*(-398*g**2 + 405*g**2 + 294*g**2) as w*g**4 + d*g + l*g**3 + n + x*g**2 and give l.
-602
Express (4 - 2 + 0)*(-z - 1 + 1) - z + 4 - 4 - 1 - 3*z + z - z as m*z + h and give m.
-6
Express 1152*g**2 - 40*g - 1154*g**2 - 80*g in the form f*g**2 + o + r*g and give f.
-2
Rearrange 140*k**2 + 280 - 280 - 3*k + 2*k - 2*k - k**2 + (-5*k + k + 2*k)*(-2*k - 2 + 2) + 3*k**2 + 3*k**2 - 5*k**2 to w*k + d*k**2 + b and give d.
144
Express 6*i**3 - 4*i + i + 3*i**2 - 5*i**3 in the form r + y*i**3 + u*i + n*i**2 and give y.
1
Express (-2*g + 4*g + 2*g)*(-2 + 3 + 0) + (-10 + 10 - 2*g)*(-1 - 1 + 0) as y*g + w and give w.
0
Express 0*p + 2*p - 3*p + (4 - 2 - 1)*(2 + 3 - 3)*(12*p - 9 + 9) as m + l*p and give l.
23
Express -5*s + 2*s - 21 + 16 + 13 as z*s + t and give t.
8
Express -3*h**2 - 22*h - 2*h**2 - 22 + 22*h in the form p + l*h**2 + c*h and give c.
0
Rearrange (2*b**2 + 2*b**2 - 5*b**2)*(0 - 1 - 2)*(5*b - 6*b + 0*b + 12) to the form p*b**2 + v*b**3 + n*b + i and give n.
0
Rearrange (3*q + q - 16*q)*(2*q - q + q) to the form j*q**2 + s*q + c and give s.
0
Rearrange (-z - 37 + 107 + 108)*(3 - 1 - 1) to n + b*z and give n.
178
Rearrange (-4*n + 2*n + 3*n)*(-3*n + 3*n + 2*n) + (n - n - 4*n)*(-n - 2*n + 4*n) to o + z*n + c*n**2 and give c.
-2
Rearrange -141 - 6*g + 140 + 3*g - 2*g to w + y*g and give w.
-1
Express -1 - 3*g**2 + 3 - 2*g**2 + 6*g**2 in the form i*g + k*g**2 + d and give d.
2
Express -2*a**2 - 3*a**2 + 4*a**2 + 12*a in the form y + x*a + f*a**2 and give f.
-1
Rearrange -88*v**3 - v + 120*v**3 - v to n*v + l*v**2 + m + b*v**3 and give n.
-2
Express 8*p**4 - 10*p**4 - 2*p**3 - p**3 - 2*p + 0*p**3 as h*p**4 + d*p**2 + g*p**3 + f*p + z and give g.
-3
Rearrange (4 + 0 - 6)*(-100*w**3 + 5843 - 5843) to x*w**2 + l + m*w**3 + g*w and give m.
200
Rearrange 10 - 6 - 9*r + r to a*r + m and give a.
-8
Express 9 - 4 + 39*o - 1 - 3 in the form l*o + a and give l.
39
Rearrange 0*s - 2*s**2 + 0*s + (-s - 2*s + s)*(-4*s - 2*s + 3*s) - 5*s**2 + s**2 + 3*s**2 + 3*s**2 + 4*s**2 - 5*s**2 to l*s**2 + o*s + w and give l.
5
Express 11
|
{
"pile_set_name": "DM Mathematics"
}
|
. Calculate q*k(t) + 6*a(t).
2*t - 1
Let h be 4/(143/65 + 2/(-10)). Let d(i) = 8*i - 6*i - i + 2*i**h - 5*i. Let c(u) = -4*u**2 + 9*u + 1. Determine 2*c(g) + 5*d(g).
2*g**2 - 2*g + 2
Let w(c) = 3*c**3 - c**2 + 4*c. Let u(o) = 4*o**3 - o**2 + 4*o. Determine -4*u(a) + 5*w(a).
-a**3 - a**2 + 4*a
Let g(d) = -15*d - 1. Let k(j) = j**3 + 7*j**2 + 9*j - 4. Let i be k(-4). Let z(w) = 23*w + 2. Calculate i*g(q) + 5*z(q).
-5*q + 2
Let s be (10 + -12 - (-2 - -4))/(-2) + 4. Let l(c) = 9*c - 5. Suppose 5 = -3*w + 2*w. Let d(n) = 10*n - 6. Give s*l(x) + w*d(x).
4*x
Let v(o) = o**2 - 6. Let u(f) = -f**2 + 13*f + 6. Suppose -3*n + 40 = 4*x, n = 4*x - 5*x + 9. Let t be u(x). Let z(p) = -5*p**2 + 35. Give t*z(j) + 35*v(j).
5*j**2
Let k(n) = 7*n**2 + 7. Let u(r) = -14*r**2 - 15. Suppose -38*b - 145 = -639. Determine b*k(f) + 6*u(f).
7*f**2 + 1
Let y(o) = -o**3 - o**2 - o + 1. Let h(f) = 3*f**3 + 2*f**2 + 51*f. Determine h(x) + 2*y(x).
x**3 + 49*x + 2
Let d(o) be the third derivative of -o**3 + 0 + 1/20*o**5 + 0*o**4 + 0*o + o**2. Let i(z) = -1 - z**2 - z**2 + 3*z**2. Calculate d(k) - 4*i(k).
-k**2 - 2
Let i(k) be the first derivative of -k - 9. Let v(g) = -g**2 + 4*g + 1. Let t = 80 + -79. Give t*i(z) - v(z).
z**2 - 4*z - 2
Let v(a) = 8*a + 39. Suppose 4*k = -l + 16, -12*l - 4 = -k - 8*l. Let d(g) = -3*g - 13. Calculate k*v(q) + 11*d(q).
-q + 13
Let i = -6 - 0. Suppose 5 = -2*d + j + 8, 3*j + 13 = 2*d. Let o(b) = -1. Let n(f) = f + 6. Give d*n(w) + i*o(w).
-w
Let w(o) = -9*o + 6. Let q(z) = -z + 1. Let x(t) be the first derivative of -t**2/2 + 13*t - 7. Let p be x(7). What is p*q(y) - w(y)?
3*y
Suppose 8 - 2 = -2*r. Let m(v) = 2*v**3 - 3*v**2 - v + 3. Let i(f) be the third derivative of -f**6/120 + f**5/60 - f**3/6 + 31*f**2. What is r*i(w) - m(w)?
w**3 + w
Let h(l) = -l + 17. Let n(y) = 0 + 7 - 6 + 5. What is 3*h(d) - 8*n(d)?
-3*d + 3
Let x(k) = 89*k**3 - 3*k. Let d(q) = -90*q**3 + 4*q. Determine 3*d(o) + 4*x(o).
86*o**3
Let f(p) = -7*p + 7. Let i(b) = -1. Give 2*f(a) + 6*i(a).
-14*a + 8
Let p(j) be the third derivative of 0*j - 1/12*j**4 + 10*j**2 - 5/6*j**3 + 0. Let y(q) = -6*q - 14. Let k = 2 - 6. What is k*y(z) + 11*p(z)?
2*z + 1
Let w(u) = u**2 + 3*u - 1. Let m(z) = 8*z**2 + 49*z - 8. Determine -m(h) + 6*w(h).
-2*h**2 - 31*h + 2
Let w(x) = 3*x + 3*x**2 - 16*x + 3 + 4*x + 4*x. Let t(z) = 4*z**2 - 6*z + 3. Give -5*t(u) + 6*w(u).
-2*u**2 + 3
Let z(v) = -25530*v**3 - 1265*v**2 - 1265*v - 1265. Let q(b) = 121*b**3 + 6*b**2 + 6*b + 6. Determine -1265*q(j) - 6*z(j).
115*j**3
Let k(d) = -2*d**2 + 150*d + 5. Let y(c) = -3*c**2 + 225*c + 7. Calculate 7*k(q) - 5*y(q).
q**2 - 75*q
Let h(c) = 5*c + 8. Let i(t) = -23 + t - 9 + 33. Determine -h(p) + 4*i(p).
-p - 4
Let a(g) = 202*g**3 - 7*g**2 + 5*g + 28. Let k(t) = -303*t**3 + 11*t**2 - 8*t - 44. Calculate 8*a(n) + 5*k(n).
101*n**3 - n**2 + 4
Let v(n) = -4*n**3 - 7*n**2 + 6*n - 6. Let m(a) = a**3 + a**2 - a + 1. Let s = 1502 + -1508. Give s*m(j) - v(j).
-2*j**3 + j**2
Let u(m) = 4*m - 7. Let p(v) = 18 + 2*v - 3*v - 17. Let w be (45/20)/((-30)/80). Give w*p(k) - u(k).
2*k + 1
Let t(k) = 1851*k + 14. Let u(x) = -463*x - 3. Give 4*t(v) + 18*u(v).
-930*v + 2
Let l(u) = -356*u**2 - 12*u + 12. Let h(z) = 1069*z**2 + 34*z - 34. What is 6*h(p) + 17*l(p)?
362*p**2
Suppose 3*h + 1 = -8. Let y be -2 - ((-3)/6*0 + h). Let s(v) = 2*v**2 + 7*v - 5. Let i(z) = z**2 + z - 1. What is y*s(c) - 5*i(c)?
-3*c**2 + 2*c
Let f(z) be the third derivative of -z**6/30 + z**4/12 - z**2. Let t be ((80/2)/(-10))/(-2). Let v(m) = 5*m**3 - 3*m. Determine t*v(o) + 3*f(o).
-2*o**3
Let t(a) = 48*a - 1. Let b(n) = 141*n - 3. Give -6*b(p) + 17*t(p).
-30*p + 1
Let o(u) = 2*u**3 + 11*u**2 + 6*u - 8. Let w(x) = -3*x**3 - 23*x**2 - 13*x + 17. Let n(p) = -13*o(p) - 6*w(p). Let q(t) = t**3 + t**2. Calculate -n(f) - 4*q(f).
4*f**3 + f**2 - 2
Let w(a) = 220*a - 3. Let c(x) = 20240*x - 275. Calculate 3*c(t) - 275*w(t).
220*t
Let o(n) = -n**3 - 3*n**2 - 3*n - 3. Let d(i) = i**3 + 3*i**2 + 4*i + 4. Let k = -407 - -410. Give k*d(l) + 4*o(l).
-l**3 - 3*l**2
Let y(h) = 15 + 3*h**3 + 0 - 4 - 7 + 0*h**2 - 2*h**2. Let o(w) = 1. What is -4*o(b) + y(b)?
3*b**3 - 2*b**2
Let s(i) = 8*i + 4. Let u(f) = -f - 1. Let m be 13*(-2 + (5 - 6/3)). Suppose -5*r + 29 = 4, 0 = -3*b - r - m. What is b*u(t) - s(t)?
-2*t + 2
Let h(z) = z**3 + z + 1. Let x(s) = -12*s**3 - 8*s + 4. What is 8*h(f) + x(f)?
-4*f**3 + 12
Let w(y) = 85*y - 2. Let t(j) = -1. What is 4*t(m) - w(m)?
-85*m - 2
Let t(d) = 3*d**3 + 6*d - 5. Let m = -314 - -313. Let n(x) = -x**3 - x + 1. Calculate m*t(r) - 6*n(r).
3*r**3 - 1
Let m(s) = 95*s + 4. Let i(l) = -190*l - 9. Calculate 2*i(j) + 5*m(j).
95*j + 2
Let d(g) = -g**3 - 5*g**2 + 3*g - 20. Let a be d(-6). Let x(y) = y**3 - y**2. Let n(p) = 4*p**3 - 5*p**2. Give a*n(u) + 10*x(u).
2*u**3
Let q(x) = x**3 + x**2 - 1. Let b(j) = -5*j**3 - 4*j**2 + j + 1. What is b(h) + 2*q(h)?
-3*h**3 - 2*h**2 + h - 1
Let p be -30*(4 + -14 - -4). Let j(x) = x**2 + p*x - 8*x**2 - 179*x - 4*x**3. Let a(o) = -2*o**2 - 3*o**3 - o**2 + o**3. Give -7*a(u) + 3*j(u).
2*u**3 + 3*u
Let m(t) = -3*t + 6. Let r(o) = -3*o + 5. Let q = -16 + 16. Suppose q*u = -11*u + 66. Determine u*r(f) - 5*m(f).
-3*f
Let s(a) = -17*a**2 - a. Let b(g) = -16*g**2 - g. Give -4*b(q) + 5*s(q).
-21*q**2 - q
Let c(s) = -31*s - 977. Let t(g) = 23*g + 976. What is -3*c(n) - 4*t(n)?
n - 973
Let t(i) = -i**2 + 5*i - 1. Let h(p) = -p**2 + 6*p - 1. Suppose 2*y = -0*y. Suppose 6 = 2*l - g, 0 = -y*l - 3*l - 4*g + 20. Determine l*h(s) - 5*t(s).
s**2 - s + 1
Let b(x) = -623*x - 622*x + 1249*x. Let j(d) = 2*d**2 + 3*d - 2. Let u be j(-3). Let v(p) = -9*p. Determine u*b(y) + 3*v(y).
y
Let l(j) = -1. Let x(q) = q - 5*q + 2*q + 4 + 4. Let s(r) = 3*l(r) + x(r). Let n(m) = m**3 - 1. Calculate -3*n(f) - s(f).
-3*f**3 + 2*f - 2
Let k(b) = 6*b**2 + 76*b + 109. Let j be k(-11). Let v(g) = -1 - 4 + 2*g - 6*g + g**3. Let x(i) = i + 1. Give j*v(n) - 5*x(n).
-n**3 - n
Let o(i) = -6*i**3 + 3*i**2 - 9*i - 2. Let w(n) = n**3 - n**2 - n. Determine -o(h) - 5*w(h).
h**3 + 2*h**2 + 14*h + 2
Let h(y) = 4*y**3 - 4*y**2 + 3*y + 3. Let o(n) = -3*n**3 + 3*n**2 - 2*n - 2. Determine -4*h(c) - 5*o(c).
-c**3 + c**2 - 2*c - 2
Let w(s) = 7*s**3 + 16*s + 2. Let n(m) = -10*m**3 - 24*m - 3. What is 5*n(p) + 8*w(p)?
6*p**3 + 8*p + 1
Let p(y) = 4*y + 1. Let v(r) = -20*r - 6. Suppose -7*q - 236 = -124. Calculate q*p(f) - 3*v(f).
-4*f + 2
Let n(f) = 5*f**2 + 2*f - 2. Let q(o) = 44*o**2 + 16*o - 6. Let v(h) = 175*h**2 + 63*h - 21. Let a(d) = 21*q(d) - 5*v(d). Determine 2*a(g) - 21*n(g).
-7*g**2
Let h(v) = 2*v - 49. Let o(r) = 6*r - 146. Calculate 11*h(y) - 4*o(y).
-2*y + 45
Let i(z) = z**2 - 4. Let b = 85 + -61. Let g = b - 15. Let v(q) = q**2 - 2*q + 2*q**2 + q - g. Calculate 5*i(u) - 2*v(u).
-u**2 + 2*u - 2
Let z(u) = -1 - 5*u**3 - 2*u**3 - u**2 + 5*u - 2. Suppose 0 = 117*h - 122*h - 25. Let k(n) = 6*n**3 + n**2 - 4*n + 3. What is h*k(r) - 4*z(r)?
-2*r**3 - r**2 - 3
Let n(b) = -b - 7. Let r(m) = 8*m - 24. Determine -5*n(i) + r(i).
13*i + 11
Let q(t) = t**2 - t. Let n(a) = 2*a**3 + 9*a**2 + 2*a. Calculate -n(f) + 4*q(f).
-2*f**3 - 5*f**2 - 6*f
Let q(m) = -5*m**3 - 4*m**3 + m + 10*m**3 + 3. Let r be q(0). Let l(j) = -j + j - 2*j - 3 + r*j. Let y(z) = 6*z - 16. Calculate -22*l(f) + 4*y(f).
2*f + 2
Let b(a) = -2*a + 4. Let w(d) = 1369*d - 444. Calculate -111*b(u) - w(u).
-1147*u
Let j(l) = -2*l - 179. Let p(t) = t + 90. Give -3*j(w) - 5*p(w).
w + 87
Let y(x) = 5*x**3 - 4*x + 1. Let p(f) = 44 - 25 - 4*f**3 + 3*f + 0*f - 20. Determine -6*p(j) - 5*y(j).
-j**3 + 2*j + 1
Let y(f) = -7*f**2 + f - 9. Let o(b) = -b**3 + 12*b**2 + 29*b - 11. Let r be o(14). Let q(j) = 4*j**2 - j + 5. What is r*y(n) + 5*q(n)?
-n**2 - 2*n - 2
Let d(l) = 2*l**3 - 10*l**2 - 12*l. Let b(r) = 2*r**3 - 7*r**2 - 11*r + 1. Give 3*b(g) - 2*d(g).
2*g**3 - g**2 - 9*g + 3
Let l(q) = 4*q**2 - 14*q + 2. Let i(f) = 5*f**2 - 16*f + 1. Calculate 5*i(a) - 6*l(a).
a**2 + 4*a - 7
Let j(l) = 7*l - 3. Let x(s) = s + 1. Let p(m) = 3*m + 1. Let k(f) = -p(f) + 2*x(f). Let a be 2 + (-70)/22 - (-16)/88. What is a*j(g) - 4*k(g)?
-3*g - 1
Let r(w) = -2*w**2. Let j(d) = d**2. Let v(s) = 2*s**2. Let i(p) = -4*j(p) + v(p). Let u = -1 + -3. Give u*r(h) + 5*i(h).
-2*h**2
Let v(p) = -2 + p**2 - p**3 - 1 - p + 2. Let y(u) = -2*u**2 + 5*u
|
{
"pile_set_name": "DM Mathematics"
}
|
108494738.
2*(s - 513)**2*(s - 349)**2
Determine y, given that -2*y**2/5 - 7638*y - 686772/5 = 0.
-19077, -18
Factor 2*k**3/9 - 225854*k**2/9 + 2125455530*k/3 - 708460082.
2*(k - 56463)**2*(k - 1)/9
Factor -18*i**3 - 100704*i**2 - 67130*i - 11188.
-2*(i + 5594)*(3*i + 1)**2
Suppose 4*c**4/7 - 26540*c**3 + 2157230904*c**2/7 - 2156673584*c/7 - 4314090272/7 = 0. What is c?
-1, 2, 23222
Factor p**2/6 + 739*p/6 + 22425.
(p + 325)*(p + 414)/6
Let n**2/5 - 579*n/5 - 5292/5 = 0. What is n?
-9, 588
Factor -3*p**2/7 - 632529*p/7 + 632532/7.
-3*(p - 1)*(p + 210844)/7
Find o such that 3*o**4 - 423*o**3 + 5622*o**2 + 6048*o = 0.
-1, 0, 16, 126
Solve 4*x**4 - 176*x**3 + 500*x**2 - 328*x = 0.
0, 1, 2, 41
Determine l, given that -2*l**5/9 - 8*l**4 + 830*l**3/9 + 100*l**2 = 0.
-45, -1, 0, 10
Factor -12*n**2 - 148*n + 9520.
-4*(n + 35)*(3*n - 68)
Solve 2*d**3/15 - 188900*d**2 + 66906018750*d = 0 for d.
0, 708375
Factor f**5/7 + 2070*f**4/7 + 1075357*f**3/7 + 4276620*f**2/7 + 4268356*f/7.
f*(f + 2)**2*(f + 1033)**2/7
Suppose -2*q**4/19 - 8128*q**3/19 - 8118716*q**2/19 + 283122624*q/19 - 2426675778/19 = 0. Calculate q.
-2049, 17
Let -15*b**2 + 43*b/3 + 2/3 = 0. What is b?
-2/45, 1
Factor 4*y**2 + 1720*y - 117600.
4*(y - 60)*(y + 490)
Let 2*h**2/7 - 1516*h/7 + 287282/7 = 0. What is h?
379
Suppose n**2/4 - 2281*n + 4561 = 0. What is n?
2, 9122
Let 4*l**4 + 1460*l**3 - 92852*l**2 - 190068*l - 95760 = 0. Calculate l.
-420, -1, 57
Determine t so that -t**3/5 + 759*t**2 - 15143*t/5 - 79611/5 = 0.
-3, 7, 3791
Factor -y**3 + 556*y**2 - 513*y - 23310.
-(y - 555)*(y - 7)*(y + 6)
Let 50*s**3/7 - 78090*s**2/7 + 62448*s/7 - 1784 = 0. Calculate s.
2/5, 1561
Suppose 3*k**5/5 - 33*k**4/5 - 201*k**3/5 + 1113*k**2/5 - 882*k/5 = 0. What is k?
-7, 0, 1, 3, 14
Find c, given that -3*c**5 + 237*c**4 + 3777*c**3 + 11907*c**2 + 8370*c = 0.
-10, -3, -1, 0, 93
Determine s so that s**2 - 46*s - 2952 = 0.
-36, 82
Find q, given that -3*q**4 + 852*q**3 + 20139*q**2 + 17568*q - 38556 = 0.
-21, -2, 1, 306
Solve 550*z**5 - 74255*z**4 + 362575*z**3 - 577490*z**2 + 291220*z - 2600 = 0 for z.
1/110, 1, 2, 130
Find j, given that 2*j**2/7 + 10036*j/7 - 660790/7 = 0.
-5083, 65
Solve -n**3 + 193*n**2 - 8732*n + 8540 = 0 for n.
1, 70, 122
Suppose 3*f**2 + 2055492*f + 352087280172 = 0. Calculate f.
-342582
Factor z**3/3 + 385*z**2/3 + 1900*z/3.
z*(z + 5)*(z + 380)/3
Determine c so that -c**4/3 + 6*c**3 + 20*c**2 + 62*c/3 + 7 = 0.
-1, 21
Find p such that -2*p**3 - 4306*p**2 + 4312*p + 8616 = 0.
-2154, -1, 2
Solve -5*a**5 - 680*a**4 - 27980*a**3 - 199430*a**2 + 6110545*a - 5882450 = 0.
-49, 1, 10
Determine b so that 2*b**2 + 1328*b + 156366 = 0.
-511, -153
Suppose 2*y**2/5 - 727376*y/5 + 66134480672/5 = 0. What is y?
181844
Determine f, given that 3*f**2 - 1273254*f + 135097979043 = 0.
212209
Factor -4*z**2 - 568*z - 10948.
-4*(z + 23)*(z + 119)
Suppose 1418*c**2/13 + 2572*c/13 - 528/13 = 0. What is c?
-2, 132/709
Solve b**3 - 62121*b**2 + 964661472*b + 2894543532 = 0.
-3, 31062
Determine y so that -y**5 + 83*y**4 - 1233*y**3 - 4207*y**2 - 4378*y - 1488 = 0.
-1, 24, 62
Suppose 8*o**5/11 - 58*o**4/11 - 1530*o**3/11 + 6970*o**2/11 - 6638*o/11 + 1248/11 = 0. Calculate o.
-13, 1/4, 1, 3, 16
Factor -2*a**3 + 113*a**2/2 - 101*a/2 - 109.
-(a - 2)*(a + 1)*(4*a - 109)/2
Factor -5*f**3/2 + 1105*f**2/2 + 2245*f/2 - 3345/2.
-5*(f - 223)*(f - 1)*(f + 3)/2
Suppose -x**4/5 - 38*x**3/5 + 7032*x**2/5 + 67662*x - 345303/5 = 0. What is x?
-63, 1, 87
Factor -3*l**3/5 - 261*l**2/5 - 633*l - 7227/5.
-3*(l + 3)*(l + 11)*(l + 73)/5
Determine l, given that 2*l**5/3 + 4472*l**4/3 - 4484*l**3 - 40312*l**2/3 - 22390*l/3 = 0.
-2239, -1, 0, 5
Factor 4*o**5/7 - 720*o**4/7 + 24000*o**3/7 - 32000*o**2.
4*o**2*(o - 140)*(o - 20)**2/7
Find i such that -i**5 - 60*i**4 + 530*i**3 - 960*i**2 - 529*i + 1020 = 0.
-68, -1, 1, 3, 5
Factor d**2/6 - 233*d/2 + 13180/3.
(d - 659)*(d - 40)/6
Factor t**3/7 - 1728*t**2/7 + 3453*t/7 - 1726/7.
(t - 1726)*(t - 1)**2/7
Let 2*h**5 + 436*h**4 + 1702*h**3 - 2140*h**2 = 0. Calculate h.
-214, -5, 0, 1
Factor 1539*x**4 - 9228*x**3 + 18432*x**2 - 12240*x - 48.
3*(x - 2)**3*(513*x + 2)
Factor 2*a**2/13 - 64*a/13 - 73986/13.
2*(a - 209)*(a + 177)/13
Factor g**3/4 - 465*g**2/4 - 5761*g + 11985.
(g - 510)*(g - 2)*(g + 47)/4
Suppose -20*n**5 - 516*n**4 + 1204*n**3 - 780*n**2 + 112*n = 0. What is n?
-28, 0, 1/5, 1
What is z in 4*z**2/3 + 1388*z/3 - 21784 = 0?
-389, 42
Factor 3*o**3/2 - 163836*o**2 + 8947739295*o/2 - 8947083963.
3*(o - 54611)**2*(o - 2)/2
Factor -182*z**3 + 48*z**2 + 54*z.
-2*z*(7*z + 3)*(13*z - 9)
Determine m so that -65*m**5/2 + 7601*m**4/2 - 14417*m**3/2 - 8521*m**2/2 + 7241*m + 460 = 0.
-1, -4/65, 1, 2, 115
Factor -5*q**2 - 1840*q + 870400.
-5*(q - 272)*(q + 640)
Find a such that 3*a**3 - 1140*a**2 + 1137*a = 0.
0, 1, 379
Find x such that 5*x**5 + 18835*x**4 - 56550*x**3 + 20*x**2 + 75400*x = 0.
-3770, -1, 0, 2
Solve -t**5/3 - 6*t**4 + 47*t**3 - 82*t**2/3 - 80*t = 0 for t.
-24, -1, 0, 2, 5
Factor -w**4 + 358*w**3 - 1977*w**2 - 47120*w - 140800.
-(w - 352)*(w - 16)*(w + 5)**2
Suppose -3*x**5 - 870*x**4 + 26457*x**3 - 86292*x**2 - 1654236*x = 0. Calculate x.
-318, -6, 0, 17
Solve 5*n**3 + 3829990*n**2 + 733441170005*n = 0 for n.
-382999, 0
Find s, given that 4*s**4 - 33972*s**3 - 135964*s**2 + 101892*s + 611784 = 0.
-3, 2, 8497
What is y in -4*y**2 + 148976*y - 1387115536 = 0?
18622
Determine j so that -3*j**5 - 1998*j**4 + 10047*j**3 - 12090*j**2 - 8028*j + 16104 = 0.
-671, -1, 2
Factor -2469*g**2 + 49378*g + 40.
-(g - 20)*(2469*g + 2)
Find f such that -3*f**3 + 93246*f**2 + 466323*f - 559566 = 0.
-6, 1, 31087
Factor -b**5 + 1106*b**4 + 2216*b**3 + 2*b**2 - 2215*b - 1108.
-(b - 1108)*(b - 1)*(b + 1)**3
Determine m, given that -m**4/4 - 77207*m**3/4 - 496736970*m**2 - 4261009715792*m + 4261506472064 = 0.
-25736, 1
Solve 4*f**4 + 228*f**3 - 65704*f**2 - 132288*f = 0 for f.
-159, -2, 0, 104
Find o, given that -3214*o**5/7 + 16066*o**4/7 - 25692*o**3/7 + 1832*o**2 + 16*o/7 = 0.
-2/1607, 0, 1, 2
Factor 2*m**4/3 - 10480*m**3/3 + 6162156*m**2 - 11288129216*m/3 + 547886809834/3.
2*(m - 1729)**3*(m - 53)/3
Determine p so that 2*p**5/3 + 296*p**4/3 - 202*p**3 - 884*p**2/3 + 2392*p/3 - 400 = 0.
-150, -2, 1, 2
Determine z so that 4*z**3 + 5620*z**2 - 85264*z - 90880 = 0.
-1420, -1, 16
Suppose g**3/10 + 22*g**2/5 - 202*g/5 + 312/5 = 0. What is g?
-52, 2, 6
Factor -2*i**4 - 82*i**3 - 296*i**2.
-2*i**2*(i + 4)*(i + 37)
Let 5*m**2 + 4456045*m/3 + 990230 = 0. Calculate m.
-297069, -2/3
Determine t so that 8*t**3/7 - 822*t**2/7 - 1038*t/7 - 208/7 = 0.
-1, -1/4, 104
Suppose -2*b**3/3 + 5167*b**2/3 + 12937*b/3 - 6034 = 0. What is b?
-7/2, 1, 2586
Find b such that -b**2/8 + 1435*b/8 + 2157/4 = 0.
-3, 1438
Factor -2*f**2/9 + 20*f - 688/9.
-2*(f - 86)*(f - 4)/9
Solve -363*q**4/4 + 24981*q**3/2 + 68661*q**2/4 + 5001*q + 417 = 0.
-1, -2/11, 139
Let -3*w**4/5 + 588*w**3/5 - 18897*w**2/5 - 1035552*w/5 - 1016064/5 = 0. Calculate w.
-27, -1, 112
Solve z**3/4 + 1213*z**2/4 - 4865*z/4 + 3651/4 = 0 for z.
-1217, 1, 3
Let -2*v**3/9 - 746*v**2/3 + 2992*v/3 - 8984/9 = 0. What is v?
-1123, 2
Let 52*i**3 + 292*i**2 - 4592*i = 0. What is i?
-164/13, 0, 7
Factor -x**2/12 - 2659*x/3 - 3545/4.
-(x + 1)*(x + 10635)/12
Factor -3*z**3/2 + 3981*z**2/2 + 1992*z.
-3*z*(z - 1328)*(z + 1)/2
Let 4*t**3/7 + 776*t**2/7 + 12036*t/7 = 0. Calculate t.
-177, -17, 0
Suppose 605*a**3 - 2169255*a**2 - 11845800*a - 16159500 = 0. Calculate a.
-30/11, 3591
Let -371*k**4 + 275283*k**3 - 50789158*k**2 - 102544032*k + 276768 = 0. What is k?
-2, 1/371, 372
Factor -3*y**3/2 + 192*y**2 - 16383*y/2 + 116487.
-3*(y - 43)**2*(y - 42)/2
Factor 5*a**3 + 3278*a**2 - 1328*a - 10496.
(a - 2)*(a + 656)*(5*a + 8)
Factor m**4/8 + m**3/8 - 21*m**2/8 - 45*m/8.
m*(m - 5)*(m + 3)**2/8
Factor 4*z**3 + 1520*z**2 - 121100*z + 2205000.
4*(z - 35)**2*(z + 450)
Determine l so that -l**3 - 1749*l**2 - 13944*l - 27856 = 0.
-1741, -4
Solve 4*k**4/7 + 132*k**3/7 - 12584*k**2/7 + 36768*k/7 - 24320/7 = 0 for k.
-76, 1, 2, 40
Suppose -h**2 - 31324*h + 62652 = 0. Calculate h.
-31326, 2
Find v such that v**3/9 - 202*v**2/9 + 10279*v/9 - 6586/3 = 0.
2, 89, 111
Determine r, given that r**2 + 406*r - 56135 = 0.
-515, 109
What is v in 4*v**2 - 16460*v - 16464 = 0?
-1, 4116
Factor 3*x**2 + 292899*x
|
{
"pile_set_name": "DM Mathematics"
}
|
/(a/a**1)*a)**(-3/8)*((a**0)**(-10))**(-24/7) assuming a is positive.
a**(29/8)
Simplify ((d*d*d**(2/23)*d*d*d**(-4)*d)/(d**(-2/49)/(d*d*d/(d/d**(-16))*d)))**36 assuming d is positive.
d**(-481680/1127)
Simplify ((m*m*m**1)**(3/10)/(m**4/(m*((m**(-1/5)/m)/m)/m)))/(m**(-3/10)*m**(-1/3))**(-28) assuming m is positive.
m**(-691/30)
Simplify ((k**(-6)/k)/k**(7/5))/(k**(-1/8)/k**0)*(k/(k/k**3*k)*k)/k**(-6)*((k**(1/15)*k)/k)/(k*(k*k**(2/5)*k)/k) assuming k is positive.
k**(-193/120)
Simplify o**(5/4)/o*o/(((o*o*o/(o*o**(-2)*o))/o)/o*o*o)*(o/o**(2/7))**(3/31)*o**0/(o/(o/(o*o*o/(o/o**0))))*o**7*o**(4/7) assuming o is positive.
o**(3377/868)
Simplify ((p**(-1))**(-26))**(2/73)/((p*p**(2/3)/p)/p*p**(-3)*p**(-2/15)*p**(-4/7)/p) assuming p is positive.
p**(44077/7665)
Simplify (w**(-10)/(w*w/(w*(w/((w/(w**(1/3)/w)*w)/w))/w)*w))**7/(w**(6/5)/w**(-4/3)*(w*w**5*w*w)/w*w**(-3/4)) assuming w is positive.
w**(-2089/20)
Simplify (f/(f/(f/f**6))*(f**5*f)/f)/((f/(f**(-1/3)*f))/f**1)*(f*f*((f*f**(1/3))/f)/f*f*f)**(2/39)*f**(-4)/((f/(f/(f**(-3)*f)))/f) assuming f is positive.
f**(-19/117)
Simplify (n**(-14)*n)**(-7/12)*(n*n*n**(-24)*n)**(-5/8) assuming n is positive.
n**(497/24)
Simplify ((((d*d/d**9)/d*d*d/d**(1/5))**(-5))**(5/6))**(2/73) assuming d is positive.
d**(155/219)
Simplify ((k**(-1))**(-5/7))**(-47)*(k*k*k*k*k*k**(-1/4)/k*k*k)/(k/(k/k**(-2/5)))*k**(-6)*k**(-2/5) assuming k is positive.
k**(-947/28)
Simplify ((r*((r**22/r*r)/r*r)/r)/r**14*r**(2/31)/(r/r**(31/5)))**(-23/3) assuming r is positive.
r**(-47288/465)
Simplify (l/(l/(l/(l/((l*l/(l*l**(-8)))/l))*l)))/l*l*l*l/(l/l**(-6/11))*l/l**(-8)*l**0*((l**(1/6)/l)/l*l**(2/15)*l)**(-4/11) assuming l is positive.
l**(1029/55)
Simplify (((u*u*(((u*u/((u**7/u)/u))/u)/u)/u*(u/(u/(u**(5/4)*u)*u*u))/u)**40)**(-15/7))**(-49) assuming u is positive.
u**(-19950)
Simplify (g**(-1))**9*(g**1*g)**31*(g*g**(-4))/g**(-4)*(g**(-4)*g)/(g/(g/g**(3/2))*g) assuming g is positive.
g**(97/2)
Simplify ((h*h**(-2))**(-13/2))**(7/2)/(h**(-8/3)*h**9*h*h)**12 assuming h is positive.
h**(-309/4)
Simplify ((((h**(-1/7)*h)/h*h**(-4)*h)/(h**4*(h/h**(-9))/h))**43)**(2/53) assuming h is positive.
h**(-9718/371)
Simplify ((o**(-2/21))**(-28)*(o/o**(-3)*o)/o**(-5/3))**(-13) assuming o is positive.
o**(-364/3)
Simplify (x/((x*x/x**2*x*x)/x))**11*(x/(x**(-2/21)/x))/(x/(x/(x/(x/x**(-1))*x)))*(x**(1/3)/x**(-1))/(x**(-4)*x**(-7/2)/x) assuming x is positive.
x**(167/14)
Simplify (((m*m**(3/5)/m)/m*m**(1/4))/((m**(1/10)*m)/((m/(m*((m/m**2*m)/m)/m))/m)))/(m/(m/m**(-5))*m**(-7))**(1/33) assuming m is positive.
m**(5/44)
Simplify ((w**(-1/7)*w**(-3))/(w*(w/(w/(w*w/(w/(w*w/(w*w**(1/5)))))))/w*w/w**(-9)))**17 assuming w is positive.
w**(-8891/35)
Simplify ((k*((k/k**(-3))/k)/k)/k**(-1))**(-20)/(k**(-5/4)*k*k**(-7)*k*(k**0)**1) assuming k is positive.
k**(-295/4)
Simplify ((((x**12/x)/(x*x/x**22))**(30/11))**38)**(1/22) assuming x is positive.
x**(17670/121)
Simplify ((l**(2/5))**(-6/7)*(l*l**(-3)*l)/l**1)/((l**(2/5))**(-34))**(1/5) assuming l is positive.
l**(66/175)
Simplify ((a*a/(a/(a*a/a**6))*a)/(a/(a**6*a*a*a)))**(-5/12)/((a**0)**(22/3)*(a**0)**45) assuming a is positive.
a**(-5/2)
Simplify ((g*g*g**(-2/13)*g)**(-2/27)/(g*g**(3/10)*(g*g*g*(g**(1/20)*g)/g)/g*g*g*g*g))**(19/2) assuming g is positive.
g**(-1008463/14040)
Simplify ((y**(2/21))**(2/31)*(y**(-18/7))**(-41))**(-1/11) assuming y is positive.
y**(-68638/7161)
Simplify (f**1*f*f*f**(-32)*(f**(26/7))**(17/2))**5 assuming f is positive.
f**(90/7)
Simplify (n**(2/5))**(-1/8)/(n**5*n**(3/8))*(n*n**1/n*n**(-2/7))/((n/n**0)/n)**4 assuming n is positive.
n**(-1319/280)
Simplify (f*f**(-1/7)*f**(-8))**(-48)/((f/(f*f**(-2)))**19/(f**(-1/4))**(5/6)) assuming f is positive.
f**(51181/168)
Simplify ((g*g**(2/7))**(-2/43)*g**(-12)*g*g*g*g**(-7/6))**(4/9) assuming g is positive.
g**(-36938/8127)
Simplify (a**4*a*a*a*a*a*(a*a**(1/6))/a*a*a*a)/(a**(-1/2)/a*a/(a/(a*a/(a*a**2/a)*a*a*a)*a))*(a**(-2/5))**(-10/9)*a/a**(-2)*a**(-1/2) assuming a is positive.
a**(263/18)
Simplify ((r/(r/((r/((r*(r/(r*r**(-1/3)))/r*r)/r))/r*r)))**(-4/19))**(2/3)*(r**(2/3))**(-40)/(r**(-6)/r*r**(-3/7)) assuming r is positive.
r**(-23140/1197)
Simplify ((j/(j/((j*j/((j/(j*j**(2/5)*j))/j))/j))*j)**(1/2))**(-28)/(((j/(j**(1/7)/j)*j)/j**(2/9))/(j/(j*j**3)*j*((j*j**(3/5))/j)/j)) assuming j is positive.
j**(-4198/63)
Simplify ((v*(v*v/v**(4/17))/v*v**(-1/25))/(v**10*v**0*v))**(-42/5) assuming v is positive.
v**(165564/2125)
Simplify ((k**(-9)*k*k/((k**0/k*k)/k)*k)/(k**(1/2))**(-26))/(((k*k**(2/3)*k)/k**0)/(k**(-1)*k)**14) assuming k is positive.
k**(16/3)
Simplify (((a**31/a*a)/a)/a)/(a/(a/((a/(a/a**(6/5)))/a)))*(a*a**(-1/67))/((a*(a*a/(a*(a**14*a)/a))/a)/a) assuming a is positive.
a**(14668/335)
Simplify ((j*(j**(-10/11)/j)/j)/j**(3/4)*(j/j**4)**7)**(-22/7) assuming j is positive.
j**(1041/14)
Simplify (g**0)**40*g**(2/7)/(g/((g**(-7)*g)/g))*(g**1/((g*g*g/(g*g**(-5)))/g))/(((g*g**(-5/6)*g)/g)/(g/((g*g**(3/7))/g))) assuming g is positive.
g**(-517/42)
Simplify (r**(-16)*(r**(-5/4)*r)/r*(r**(2/3)*r*r*r)**(-2/53))**(-1/44) assuming r is positive.
r**(11059/27984)
Simplify (w**(2/61)*w**41)/((w*(w**29*w)/w)/w)**(-44) assuming w is positive.
w**(80339/61)
Simplify (y/y**(-9)*y/(y*y/(y/y**(5/2)))*y)**(2/21)*(y**(2/15)*y**(-1/3))/(y**1/y**(1/6)) assuming y is positive.
y**(-47/210)
Simplify (d**(-2)/d**28*d**(-2/3)*d**(-2/65))**(4/27) assuming d is positive.
d**(-23944/5265)
Simplify (o/(o*o**(-3))*o*(o/o**0)/o*o*o**(-1/4)/o**(-5))**50 assuming o is positive.
o**(975/2)
Simplify ((o**(-1/6)/((o**(-1/4)/o)/o))/(o**(-1))**48)/(o*o**(6/11)*o**(-7/2))**(-9/8) assuming o is positive.
o**(25283/528)
Simplify (a**(2/9)*a**3*a*a**(-1)*a*a**4)/((a**0)**(-32)/((a/(a**6/a))/a*a*a*a*a/a**(2/5)*a*a*a)) assuming a is positive.
a**(442/45)
Simplify ((b/((b*b**(-3/8))/b))**(6/11)*(b/b**11)/b**4)**33 assuming b is positive.
b**(-1749/4)
Simplify ((z*(z/(z/z**(1/8)*z))/z*z**(3/5))/(z/(z/(z**(1/7)/z))*(z/(z**2/z*z))/z))/(z/((z*z**(3/4))/z)*z*z*z*z*z**(7/5))**(-1/10) assuming z is positive.
z**(2203/700)
Simplify ((c*(c*c/c**(-45))/c)/(c**(2/69)*c))/(c*c*c/c**38)**13 assuming c is positive.
c**(34567/69)
Simplify (h**(-2/11)*h)/((h/h**(-3))/h)*(h*h**(1/3))/(h*h**(-2)/h)*(h*h**(2/21)*h*h*h**(-6/11))/(h*(h**(-2/3)*h)/h)**(-41) assuming h is positive.
h**(4012/231)
Simplify (((l*l**1)/l)/(l*l**(-1/2)))**(-48)/((l**(-2/3))**8)**(-2/43) assuming l is positive.
l**(-3128/129)
Simplify m**(-7)/(m*m**(1/5))*m**0/(m*m**(-6))*(m**(-2))**(7/4)/((m*m*m**(-3/2)*m*m*m*m)/((m/m**(-4/3)*m)/m)) assuming m is positive.
m**(-133/15)
Simplify ((v**(3/7)/v**(5/6)*((v*v*v/(v*(v/(v**1/v))/v)*v)/v)**(-1/8))**45)**37 assuming v is positive.
v**(-30525/28)
Simplify (m/m**(-5)*m**(1/2)*(m*m**1)**13)/(m**(1/8)/m*m/(((m/(m/(m/(m*m/((m*m**(-1)*m*m)/m)))))/m)/m))**11 assuming m is positive.
m**(73/8)
Simplify (z/z**(-2/5)*(((z/z**(-1/8))/z)/z)/z*z**(-8)/(z/(z*z/(z/(z*z/(z*z**0))))))**37 assuming z is positive.
z**(-11063/40)
Simplify ((u*u**(-36))/u)**25*u**(9/8)*u*u**(-31) assuming u is positive.
u**(-7431/8)
Simplify (d*(d/(d**16/d))/d*d**38/d)/(d**(-1/82)/((d*d*d**(-34))/d*d*d)) assuming d is positive.
d**(-655/82)
Simplify (m/(m/(m/(m/m**(4/3))))*m**(-3/4)/m)/((m/m**(-1))/m)**(19/2)*((m**(-4/5)/m)/m)/m**(-1/4)*(m**5*m)/m*m*m**6/m assuming m is positive.
m**(-22/15)
Simplify ((d*d*d**(-1/8)*d*d*d)**(-1/39)*d**(-3/2)*d**(-5/6))**19 assuming d is positive.
d**(-1121/24)
Simplify (((z/z**9*z*z**(-31))**(-32))**(-3/16))**(-45) assuming z is positive.
z**10260
Simplify ((s*s**(2/5))**(-21))**(-19/5)/(s/(s/(s/(s/(s*(s**(-7)*s)/s))))*s*s**(-4)/s)**27 assuming s is positive.
s**(9543/25)
Simplify (((g/((g*g*g/g**5*g)/g))/g*g)/g*g/(g**(-10)/g*g)*(g**(-2))**(-5))**22 assuming g is positive.
g**506
Simplify ((i/i**(2/3))**(-2)*(i**(-1/3))**(-2/49))/((i/i**(1/5))/((i/(i/(i/(i**(-6)/i))))/i))**(-10) assuming i is positive.
i**(-3070/49)
Simplify ((n**(2/9)*n)**(-31))**(-17)*n/n**3*n/(n*n*n/n**4)*(n**(-1/3))**(-4/3) assuming n is positive.
n**(5801/9)
Simplify s*s/(s*(s**(-5)/s)/s)*s**(2/11)/s*(s/(s/(s*s/s**(-2/5))))**20*(s*s*s**(-11)*s**(-4/3)*s)**22 assuming s is positive.
s**(-4955/33)
Simplify (((a**(-1/3)*a)/(a*a**(-3)))/(a**(-4/3)/a**4))/((a*a**(-2)*a*a*a**(4/7)/a)/(a*a*a*a*(a/(a**(-1)/a)*a)/a*a*a
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{
"pile_set_name": "DM Mathematics"
}
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u be ((-105)/60)/((-1)/(-4)). Let n(d) = 2*d - 11*d**3 + 3*d - 7*d**2 + 2*d. What is u*z(o) - 3*n(o)?
-2*o**3
Let c(n) = -3*n**3 - 2*n - 4. Let q(f) be the third derivative of 0*f - 1/4*f**4 - 11/6*f**3 + f**2 - 1/15*f**6 + 0 + 0*f**5. What is 11*c(y) - 4*q(y)?
-y**3 + 2*y
Let w(j) = 11*j**2 + 8*j + 2. Suppose 35 = 2*q + 3*q + d, 0 = -5*q - 5*d + 15. Let v(u) = -4*u**2 - 3*u - 1. Give q*v(b) + 3*w(b).
b**2 - 2
Let l(n) = -4*n**2 - 12. Let k(h) = 9*h**2 + 23. Calculate -2*k(v) - 5*l(v).
2*v**2 + 14
Let n(d) = -d + d + 8 + 11*d. Let u(p) = -4*p - 3. What is -3*n(h) - 8*u(h)?
-h
Let u(m) be the third derivative of m**5/60 - m**4/24 - m**3/6 - 40*m**2. Let l(q) = -2*q**2 + 2*q + 5. What is -l(k) - 5*u(k)?
-3*k**2 + 3*k
Let b(y) = y - 2*y**2 + y**3 + 0*y + 3*y + 6. Let n(f) be the second derivative of -f**5/20 + f**4/6 - f**3/2 - 5*f**2/2 - 37*f. Give 5*b(p) + 6*n(p).
-p**3 + 2*p**2 + 2*p
Let y(d) = 0*d - 3*d**3 + 6*d**2 + 4*d + 10 - 15. Let a(w) = 6*w**3 - 11*w**2 - 7*w + 9. What is 6*a(s) + 11*y(s)?
3*s**3 + 2*s - 1
Let o(z) = -26*z - 3. Let v(k) = 12*k + 1. Let y(r) = -4*o(r) - 9*v(r). Let i(l) = -12*l + 10. Calculate 3*i(u) - 10*y(u).
4*u
Let w(t) = t**3 + 2*t**2 - 2*t. Let a(x) = -5*x**3 - 9*x**2 + 9*x. Suppose n - 54 = -n. Let d be 1/(((-12)/n)/4). Let h be 4/3 - 6/d. Determine h*a(u) + 9*w(u).
-u**3
Let r(x) = x**2 + 5*x + 5. Suppose -2*s + 1 = -0*s - k, -2*s - 5*k - 5 = 0. Let b = s + 2. Let c(y) = y + 2*y + y**b + 0*y + 3. Give 5*c(d) - 3*r(d).
2*d**2
Let b(t) = t**2 + t. Let o(k) = -k**2 - 2*k + 2. Calculate 2*b(d) + o(d).
d**2 + 2
Let b(k) = -k**2 - k + 1. Let l(i) = 3*i**2 + 5*i - 6. Suppose 0 = -2*j + 6*j + 8. Let o be (j/4)/(4/8). Determine o*l(d) - 5*b(d).
2*d**2 + 1
Let m(t) = t - 14. Let v(w) = 1. Give m(q) - 2*v(q).
q - 16
Let p(z) = -4*z**2 + 2*z - 10. Let o(b) = 5*b**2 - 3*b + 11. Give 2*o(f) + 3*p(f).
-2*f**2 - 8
Let i(w) = -3*w**2 - 12. Let k(p) = -p**2 + 4*p - 7. Let x be k(5). Let b(y) = y**2 + 5. Determine x*b(c) - 5*i(c).
3*c**2
Let y(w) = w. Let t be -1 - (-6 - 0 - -2). Suppose -5*v - 15 = 4*m, -5*m + m = v + t. Let s = 19 + -20. Let i(n) = -n - 1. Determine s*i(h) + v*y(h).
-2*h + 1
Let x(d) be the first derivative of 2*d**2 + 6*d - 51. Let t(m) = 1. Calculate 6*t(n) - x(n).
-4*n
Let y(h) = 19*h**3 + 4*h**2 + 4. Let t(n) = 39*n**3 + 7*n**2 + 7. Calculate 4*t(x) - 7*y(x).
23*x**3
Let y(h) = 9*h - 11. Let j(w) = 1 - 9 + 2 + 5*w. Determine -11*j(p) + 6*y(p).
-p
Let h(q) = 28*q - 8 - 23*q + 4. Let o(j) = -11*j + 9. What is -5*h(a) - 2*o(a)?
-3*a + 2
Suppose 2*p + 1 = 5*i, 3*p + 7 = i + i. Let z = -1 - -3. Let a(t) = -t - 2*t - z*t. Let v(r) = r. Give p*v(y) - a(y).
2*y
Let g(s) be the first derivative of -11*s**5/120 + s**4/4 + 2*s**3/3 + 3. Let y(d) be the third derivative of g(d). Let k(z) = 4*z - 2. Give 8*k(o) + 3*y(o).
-o + 2
Let o(m) = -6*m**3 + 3*m**2 - 4*m - 1. Let f(k) = -11*k**3 + 5*k**2 - 7*k - 1. Calculate -3*f(i) + 5*o(i).
3*i**3 + i - 2
Let i be (0/(-8))/(5 + -2). Let q(p) be the second derivative of -7/12*p**4 - 1/3*p**3 + i + p - 7/2*p**2. Let o(x) = -3*x**2 - x - 3. What is 10*o(h) - 4*q(h)?
-2*h**2 - 2*h - 2
Let o(s) = 25*s. Let t(f) = -49*f. Give -11*o(j) - 6*t(j).
19*j
Let x(v) be the first derivative of -5*v**2 - v + 1. Let c = -65 - -58. Let l(k) = 3*k. Calculate c*l(u) - 2*x(u).
-u + 2
Let x be 9/1 + (-1 - 1). Let b(o) = -7*o**2 + o - 6. Let i be (-9 - -2)*1/(-1). Let l(y) = y - 2*y**2 + i - 2*y + 10*y**2. Give x*b(h) + 6*l(h).
-h**2 + h
Let f(z) = 3*z + 2. Let x(m) = -2 - 3 - 149*m + 73*m + 69*m. What is 5*f(l) + 2*x(l)?
l
Let g(a) = 16*a**3 + 7*a**2 + 7*a - 7. Let t(x) = 5*x**3 + 2*x**2 + 2*x - 2. Determine 2*g(s) - 7*t(s).
-3*s**3
Let h(m) = -11*m + 31. Let s(u) = 6*u - 16. Calculate 4*h(c) + 7*s(c).
-2*c + 12
Let q(u) be the first derivative of 3*u**2 + 6*u - 2. Let c(s) be the third derivative of -s**4/24 - s**3/6 - 3*s**2. Determine -10*c(g) - 2*q(g).
-2*g - 2
Let z(s) = s**2 - s + 1. Let t(r) = -11*r**2 + 4*r - 3. Calculate t(d) + 3*z(d).
-8*d**2 + d
Let o(t) = -9*t**2 - 8*t + 10*t**2 + 3*t + 2. Let z(q) = q**2 - q. What is -o(j) + 3*z(j)?
2*j**2 + 2*j - 2
Let a(f) = -f + 1. Let z(m) = -14*m + 7*m + 4 + m. What is 2*a(o) - z(o)?
4*o - 2
Let i(o) = o**3 - 2*o**2 + 3*o - 3. Let h(p) be the first derivative of 1/2*p**4 + 2*p**2 + 1 - p**3 - 4*p. Give -2*h(x) + 3*i(x).
-x**3 + x - 1
Let v(a) = -a. Let z(j) = -j**3 - 2*j**2 + j - 4. Let k be z(-4). Suppose 0 = -x + 5, -b - 7*x + k = -2*x. Let r(w) = -4*w. Determine b*r(g) + 3*v(g).
g
Let w(q) = -q**2 + 1. Let u be (4/6)/(4/6). Let n = 3 - 6. Let y(h) = h**2 - 5*h**2 - h + 0 + 3. What is n*w(v) + u*y(v)?
-v**2 - v
Let k(z) = -9*z - 18. Let n(o) = -1. Give -k(u) + 18*n(u).
9*u
Let i(g) = 2*g**2 + 17*g. Let b(n) = 2*n**2 + 16*n. What is -6*b(a) + 5*i(a)?
-2*a**2 - 11*a
Let l(n) = n**2 + n - 1. Let o be 10/(-4)*(-8)/10. Let w(k) = -k. Let c(m) = -2*m - 2*m + 2*m. Let y(i) = o*c(i) - 6*w(i). Give l(t) - y(t).
t**2 - t - 1
Let d(k) = -5*k**3 - 5*k**2 + 11*k. Let g = -3 - -5. Let n(m) = -m**3 - m**2 + 2*m. Let w = -332 - -321. What is g*d(a) + w*n(a)?
a**3 + a**2
Let h(j) = 3*j**2 - 7*j - 4. Let l(z) = -3*z**2 + 8*z + 3. Determine 3*h(d) + 4*l(d).
-3*d**2 + 11*d
Let h = -449 - -444. Let g(l) be the third derivative of -7*l**6/120 - l**4/8 - l**3/2 + l**2. Let u(x) = 3*x**3 + x + 1. Calculate h*u(t) - 2*g(t).
-t**3 + t + 1
Let s(c) = -2*c - 5. Let x(u) = 5*u + 14. Let k(o) = -o**3 + 3*o**2 + 3*o - 4. Let t be k(4). Let l(b) = -2*b + 3. Let v be l(3). Calculate t*s(p) + v*x(p).
p - 2
Let n(p) = p + 5. Let c be (-5)/90*-6 + 16/(-3). Let b(x) = 2*x + 8. Suppose 44 = 3*j - 5*h, 4*j + 3*h - 36 = 4*h. Determine c*b(s) + j*n(s).
-2*s
Let y(m) = -14*m + 6. Suppose -x - 3*j = -5*x - 41, -x = 5*j + 16. Let h(r) = 9*r - r - 2 - 3*r. Determine x*h(g) - 4*y(g).
g - 2
Let c(i) = -6*i - 1. Let m(u) = -6*u - 1. Give -6*c(z) + 5*m(z).
6*z + 1
Let c(o) be the third derivative of -o**6/120 - o**4/24 - o**3/6 - 9*o**2. Let y(d) = -5*d**3 - d**2 - 3*d - 3. Determine 3*c(h) - y(h).
2*h**3 + h**2
Let w(q) = 3 + 6*q - 3*q - 3*q + q. Let v(n) = n + 6. What is -3*v(h) + 5*w(h)?
2*h - 3
Let t(q) = 4*q + 1. Suppose -3*z - 3*p - 10 = 2*p, -4*z + 4*p - 24 = 0. Let a(s) = -7*s - 1. Determine z*t(u) - 3*a(u).
u - 2
Let w(t) = 1. Let o(b) = -b + 3. Let u(l) = -l**2 - 4*l + 1. Let n be u(-3). Suppose -4*a - n*g - 3 = 1, 3*g + 10 = 4*a. Calculate a*o(j) - 3*w(j).
-j
Let i(p) = 4*p - 1. Let g(o) = 7*o - 2. Suppose -24 = -6*d + 14*d. Give d*g(u) + 5*i(u).
-u + 1
Let n(o) = 21*o**2. Let f(s) = s**2. Determine -6*f(j) + n(j).
15*j**2
Suppose -3*s = 2*r - 6*s, -4*s = 3*r - 17. Let z(v) = v**3 - 5*v - 4. Let b(f) = f**3 - 4*f - 4. Calculate r*b(c) - 2*z(c).
c**3 - 2*c - 4
Let s(k) = 46*k**2. Let h(x) = 231*x**2. Give 3*h(f) - 14*s(f).
49*f**2
Let r(g) = -7*g**3 + 2*g**2. Let k(z) = -z**3. Determine -6*k(f) + r(f).
-f**3 + 2*f**2
Let w(z) = 9*z**3 - 4*z**2 - 5. Let a(b) = -8*b**3 + 3*b**2 + 4. What is -5*a(i) - 4*w(i)?
4*i**3 + i**2
Let u(f) = -8*f**3 + f**2 - 6*f + 7. Let n be (13 - 1)*(-4)/(-8). Suppose t = -5 - n. Let m(o) = -15*o**3 + 2*o**2 - 11*o + 13. Determine t*u(a) + 6*m(a).
-2*a**3 + a**2 + 1
Let u(d) = -d + 14. Let s(t) = -t - 20. Let i be s(-25). Let f(x) = x - 9. Give i*u(r) + 8*f(r).
3*r - 2
Let a(x) = -2*x**3 - 5*x + 5. Suppose -4*q + 19 + 1 = 2*v, q - 3 = 0. Let i(w) = -2*w**3 - 4*w + 4. Let u = -7 - -2. Calculate u*i(f) + v*a(f).
2*f**3
Let z(p) = -5*p**2 + 9*p - 88. Let u(c) = -3*c**2 + 5*c - 44. Calculate -7*u(a) + 4*z(a).
a**2 + a - 44
Let d(p) = -p**3 - 2*p. Suppose 6*o + 11 = -1. Let x(k) = -2*k**3 - 3*k. Determine o*x(i) + 3*d(i).
i**3
Let i(k) = 6*k**2 + 5*k - 2. Suppose -5*q - 17 = -s, 4*q = -0*q - 16. Let d(t) = -5*t**2 - 4*t + 2. Determine s*i(r) - 4*d(r).
2*r**2 + r - 2
Let u(k) = 21*k**2 + 9*k. Let m(z) = 5*z**2 + 2*z. Let w(g) = g**3 - 10*g**2 + 2*g - 7. Let s be w(10). Let l = s + -4. Determine l*m(a) - 2*u(a).
3*a**2
Let s(b) = b**2 - 6*b - 7. Let z be s(6). Let m(a) = a**2 + 0*a**2 - 2*a + 0*a**2. Let t(c) = -10*c - c**2 + 7*c + 2*c**2. Determine z*m(p) + 5*t(p).
-2*p**2 - p
Let k(y) = y - 1. Let w(p) = -p - 2*p + 5*p - 3 + 0*p. Let o be (-4)/2 + 2/2. Suppose -5*v - 19 = m, 5*m + 7 = -v - 2*v. Give m*k(q) + o*w(q).
-q + 2
Suppose 18*t - 15*t = 9. Let l(z) = -z
|
{
"pile_set_name": "DM Mathematics"
}
|
Express 15*v**2 + 7 - 21 - 5*v**2 as l*v**2 + z*v + t and give z.
0
Express (-2*t**2 + 3*t - 3*t)*(2 - 2 + 9) + (2*t + 3*t - 4*t)*(-28 - t + 28) in the form x*t + z*t**2 + j and give x.
0
Express -11*z + 12*z**3 + 2 + 2*z + 5*z - z + 6*z in the form m + o*z**2 + x*z + g*z**3 and give g.
12
Express ((0 - 1 + 2)*(-1 + 2 + 1) + 36 + 257 + 71)*(-3*p + 7*p - 2*p) as k + m*p and give m.
732
Rearrange (106 + 133 + 132)*(-w**3 - w**4 + w**3) to r*w**2 + f*w**3 + m*w + y*w**4 + z and give y.
-371
Express (-88*m - 8 + 1 + 90*m)*(0 + 1 + 0) + 93*m - 81*m - 86*m in the form q*m + o and give q.
-72
Express (0*n**3 + 3*n**3 - 4*n**3)*(-3153 - 349 + 1315) as f*n**3 + p*n**2 + g*n + d and give f.
2187
Express 52*g**2 - 1181 - g - 20*g**2 + 1181 as l*g**2 + y + b*g and give b.
-1
Rearrange (-1 + 2 + 1 - q**2)*(2*q + 7*q - 3*q - 1)*(74*q + 35*q - 30*q) to the form a*q**4 + f + b*q + d*q**3 + y*q**2 and give a.
-474
Rearrange 72*g - 41*g + 44*g + 16*g - 5 to the form l*g + u and give l.
91
Rearrange 28 - 49 - 88 - 7 + d to m*d + g and give g.
-116
Express (15 - 5 - 9 + 38)*(3 - 4 + 3*h + 7) in the form g*h + t and give t.
234
Rearrange x**4 - 83*x**2 - 2*x**4 + 16*x - 4*x**3 + 166*x**2 - 84*x**2 to the form l + j*x + f*x**2 + r*x**4 + g*x**3 and give j.
16
Express (65 - 49 - 36)*(2 - 2 + 3*v**3) + 0*v**3 + 0*v**3 - 2*v**3 as f*v**2 + j*v**3 + o + s*v and give j.
-62
Express -s**3 - 4*s + 0*s**3 + 2*s + (-5*s - 4*s + 5*s)*(-109*s**2 - 6759 + 6759) as b*s + k + m*s**2 + n*s**3 and give b.
-2
Express 36*i + 57*i - 77*i + 104*i - i**2 in the form y*i + x*i**2 + r and give y.
120
Rearrange (3*k - 3 + 3 + (k - 4 + 4)*(3 - 6 + 2) + k + 20*k + 3*k)*(-2 + 1 + 2) + 33 + 4*k - 33 to b + c*k and give c.
30
Express 15*w**3 + 2*w - 1 - 6*w + 3*w**2 - 46*w**3 + 28*w**3 - 2*w in the form g*w + r*w**2 + x + p*w**3 and give r.
3
Express 237*x + 32*x**2 - 237*x - 302*x**2 as p*x + v + l*x**2 and give l.
-270
Rearrange -10*b**3 + 22 - 75 + 53 + (4*b - b**2 - 4*b)*(-1 + 2*b + 1) to the form r*b**2 + w*b + k*b**3 + i and give k.
-12
Express 4*j**4 - 6*j**4 - j + 4*j**4 + 3*j**2 + 17*j**2 as v + k*j**2 + c*j + d*j**4 + i*j**3 and give d.
2
Rearrange 209*s + 562*s - 227*s to v*s + d and give v.
544
Express -8*p**4 + 218*p**2 - p**3 + 3*p**4 - 9*p - 218*p**2 + 36*p**4 + 2 in the form z*p**3 + q*p**2 + u + y*p**4 + w*p and give u.
2
Rearrange 2*j + 10*j + j - 2*j**2 - 3*j to h*j + i + v*j**2 and give h.
10
Express -8*m - 1 + 1 - 2 as k + t*m and give t.
-8
Express (106 + 103 - 50)*(2 + o - 2)*(-2*o**2 + 0*o - 2*o - 2*o) in the form v*o + i + q*o**3 + h*o**2 and give h.
-636
Rearrange 95 - 85927*y**3 + 0*y + 4*y**2 + 85928*y**3 + 0*y to b*y + i + l*y**3 + k*y**2 and give l.
1
Express 2 - 1142*o**3 - 1107*o**3 + 2280*o**3 as z*o**3 + x + i*o**2 + w*o and give i.
0
Rearrange -272*a**3 - 197*a**3 + 48*a**3 + (0 - 2 + 3)*(-2*a**2 + 2*a**2 - a**3) to the form v*a + x*a**2 + m + s*a**3 and give m.
0
Rearrange (-36 - 18 + 8)*(-2*l**2 - 4 + 4) + (0 - 2 - 6)*(0*l**2 + 0*l**2 - 2*l**2) to the form j*l**2 + p*l + g and give j.
108
Rearrange (4 + 28 - 4)*((2*s + 3*s - 6*s)*(-4 + 2 + 1) - 3*s + 2*s - s + s - s + 2*s)*(-9 + 8 - 64) to the form k + y*s and give k.
0
Express ((4 + 0 - 2)*(0 + 4 - 2) - 3 + 1 + 1)*(-7*q - 5 + 5)*(2 + 1 - 2)*(6 - 3 + 4) in the form x*q + g and give x.
-147
Express -s**2 + 7226*s**4 - 5*s**3 + 7*s**2 + 1 - 7230*s**4 + 1 as w + x*s**2 + n*s + z*s**4 + r*s**3 and give r.
-5
Express -2680*w + 2681*w + 113 + 5 in the form p*w + r and give p.
1
Rearrange 52 + 121 + 11*i**4 - 17*i**2 - 171 to the form k*i**2 + y*i**4 + a + l*i + n*i**3 and give y.
11
Express (-26*k**2 - 18*k**2 + 42*k**2)*(-8*k + 9*k**2 - 17*k**2 + 7*k) in the form h + d*k**3 + m*k**2 + u*k + w*k**4 and give d.
2
Rearrange (-g - 4*g + 6*g)*(3*g - 2*g + g) + (1 + 2 - 2)*(2*g**2 + g**2 - g**2) + 12 + 6*g**2 - 12 to i*g + u + v*g**2 and give v.
10
Rearrange (13 + 8*j - 13 - 3 + j + 3 + (1 - 2 + 3)*(-3*j + 4*j - 2*j) - 3*j + 2*j - 2*j)*(1 - 22 - 25) to the form m + d*j and give d.
-184
Rearrange 8*b**3 - 1 + 27*b - 11*b - 19*b to the form i + l*b + v*b**2 + x*b**3 and give v.
0
Rearrange (0 + 0 + m + 2*m - m + m + (-3 - 4 + 6)*(1 - m - 1))*(-94*m**3 - 85*m**3 + 10*m**3) to the form x*m**3 + k*m**2 + t*m + l + z*m**4 and give z.
-676
Express -3*i - 2*i**3 + 5*i**2 + 1 + 3*i**3 - 4 + 8*i**2 - i**2 as v + y*i + q*i**2 + u*i**3 and give u.
1
Express ((0*i - 3*i + i)*(-5 - 1 + 4) + 5*i - 5*i - i - 2*i - 4*i + 4*i)*(-415 - 396 + 827) as g*i + b and give g.
16
Express -7*z**4 + 1061*z + 3*z**3 - 22 - 1061*z - z**2 + 2 as f*z**4 + u*z + t + r*z**3 + x*z**2 and give t.
-20
Rearrange (3 - 3 - 2 + (0 + 2 - 1)*(4 - 1 - 1) + 4 - 5 - 2 + (5 - 1 - 3)*(0 - 3 + 5))*(-1 - 7*d - 6*d + 10*d) to the form z*d + u and give z.
3
Express (-2 + 2 - i**2)*(46 - 27 + 3 + 206) in the form x*i**2 + d*i + p and give d.
0
Express (0 + 4 - 1)*(3*f + 0*f - 2*f)*(-72*f - 300*f - 132*f - 182*f) as i*f + m*f**2 + p and give m.
-2058
Express 1 - 3*n - 437*n**2 + 439*n**2 + 2*n - 2*n**3 in the form p*n + x*n**2 + l*n**3 + z and give x.
2
Rearrange -2 + 2 - x**2 + (0*x - 2*x + 6*x)*(30 - 30 + 8*x) + 0*x**2 + 3*x**2 - 4*x**2 to m*x + d*x**2 + l and give d.
30
Rearrange (-l + 5*l + l)*(-9 + 4 - 5*l + 1) to the form h*l**2 + c*l + z and give h.
-25
Rearrange -37 - 28 + 65 - 1172*i - 246*i to m*i + t and give m.
-1418
Rearrange 7*k**2 + 10*k + k**4 - 10*k + 2*k**3 - 8*k**2 to m*k**3 + g + l*k + o*k**2 + p*k**4 and give p.
1
Express (-v - v + 3*v)*(69 + 14*v - 69)*(1 + 0 + 3)*(5 + 0 - 3) in the form i + b*v + d*v**2 and give d.
112
Rearrange 4 - 15 - h + 6 + 6 to b*h + d and give b.
-1
Express (-6*t**4 + 3*t**4 - 5*t**4)*(0 + 1 + 8) + 2*t**4 - 3*t**4 - 2*t**4 as k*t + c + d*t**4 + u*t**3 + x*t**2 and give x.
0
Rearrange 0*s**3 - s**4 + 0*s**4 - 10*s - s**4 - 2*s**3 - s**2 to the form z*s + w*s**2 + j + h*s**4 + i*s**3 and give h.
-2
Rearrange 6 - 6 - s + (0 - 3 + 1)*(s - 2*s + 3*s) + (s + 2*s + 0*s)*(-3 + 3 - 3) to the form f*s + n and give f.
-14
Express (-2 - 2 + 0)*(231*k**2 - 17 - 232*k**2 + 66)*(-2*k - 3*k + 4*k) in the form q*k**3 + y + j*k + g*k**2 and give j.
196
Rearrange 2*d**2 + 3*d - 3*d + (d**2 - 5*d**2 + 2*d**2)*(1 - 9 + 1 + (4 - 10 - 5)*(-3 - 4 + 6)) to the form c*d + z*d**2 + i and give z.
-6
Express 2 + 156 + 15*b - 7 - 13*b + 95 - b**2 as w*b**2 + q + r*b and give w.
-1
Express (24*y - 14*y**2 - 24*y + (2 - 2 + y)*(0 + 0 + 2*y))*(-476 + 476 + 56*y**2) as x + v*y**2 + s*y + f*y**4 + w*y**3 and give f.
-672
Express (3*c - 4 + 4)*(-3 - 3 + 2)*(724 - 83 - 50 - 36) as i*c + r and give i.
-6660
Express -11 + 11*k + 17*k**3 - 4*k - k - 7*k in the form n*k**2 + l + f*k**3 + v*k and give v.
-1
Express 87*p**2 + 123*p**2 - 438*p**2 - 402*p**2 - 126*p**2 as v*p + n*p**2 + u and give n.
-756
Rearrange 37 + 0*s - 3*s + 41 - 155 + 48 to the form i + n*s and give i.
-29
Rearrange 31 - 8*w**4 + 8*w**4 - w**3 + 38 + w**4 to the form i*w**3 + l + z*w + t*w**4 + d*w**2 and give t.
1
Express -2 + 2 - 2699*x + 2860*x in the form p*x + s and give p.
161
Rearrange -13 + 10 + 3 - 81*f**2 to the form u + r*f**2 + v*f and give r.
-81
Rearrange 2527*l**2 + 2339*l**2 - 4298*l**2 to the form k + z*l**2 + b*l and give k.
0
Express 52*d + 542 - 542 in the form j + f*d and give f.
52
Express -3435*s**2 - s + s + 3456*s**2 in the form b*s**2 + m + v*s and give b.
21
Express (0*o + 0*o - 2*o)*((-1 - 4 + 4)*(-3*o + 4*o - 3*o) + (-o - o + 3*o)*(261 + 84 - 34))*(-3 + 3 - 1)*(-2 + 3 + 1) in the form v*o**2 + h*o + t and give v.
1252
Express (-4 + 2 - 3)*(0 + 1 - 3)*(-61953*t**2 - 36*t**3 + 61953*t**2) as p*t + i*t**3 + m*t**2 + u and give i.
-360
Rearrange 8*c - 2 + 9*c**3 + 4 + 3*c**3 - 17*c**3 to k*c**2 + t*c + m*c**3 + q and give m.
-5
Rearrange -72*w**2 - 86*w**2 - 66*w**2 + 28*w**2 to f*w + g + p*w**2 and give p.
-196
Express -21 - v**2 + 0*v - 35 + 0*v in the form k*v + c + t*v**2 and give c.
-56
Express 5 - 244*f + 4 - 13 + 3 in the form u*f + g and give g.
-1
Express (-25*r**2 - 15*r**2 + 68*r**2)*(1 - 3 - 2) in the form s*r + p*r**2 + x and give p.
-112
Express (1 - 16 + 4)*(b - b + 4*b**3) - 4*b**3 + 3*b - 3*b in the form w*b**3 + y*b**2 + l*b + x and give w.
-48
Express (17 + 16 - 1)*(4*n + 8*n - 2*n) - 2*n - 4 + 4 in the form s*n + k and give s.
318
Express -37*f +
|
{
"pile_set_name": "DM Mathematics"
}
|
)*(b + 9366)
Factor -4*d**2 + 1788*d + 3444472.
-4*(d - 1178)*(d + 731)
Suppose -n**3/2 + 12621*n**2/2 + 582729*n/2 - 595349/2 = 0. What is n?
-47, 1, 12667
Determine b, given that -b**2 - 9187081*b = 0.
-9187081, 0
What is d in d**3 + 3995668*d**2/5 - 1598271*d/5 - 2397402/5 = 0?
-799134, -3/5, 1
Factor 15*n**2 + 26141615*n - 17427750.
5*(n + 1742775)*(3*n - 2)
Determine w, given that -2*w**3 - 10524*w**2 - 791160*w - 14977168 = 0.
-5186, -38
Determine i so that 3*i**4 - 4482*i**3 + 646044*i**2 - 1318590*i - 2160359775 = 0.
-49, 105, 1333
Find h such that -4*h**4/7 - 16804*h**3/7 + 67556*h**2 - 3196476*h/7 + 2740392/7 = 0.
-4229, 1, 9, 18
Determine d so that -5*d**2 + 33992510*d - 57774536805005 = 0.
3399251
Determine t, given that -3*t**4 + 18765*t**3 - 29446704*t**2 + 321647172*t = 0.
0, 11, 3122
Solve 3*q**4 + 583056*q**3 + 37658909592*q**2 + 800923161252864*q - 479008542668888592 = 0 for q.
-64978, 582
Solve -t**4/6 - 7*t**3/3 + 1063*t**2/2 + 6473*t/3 - 8060/3 = 0 for t.
-62, -5, 1, 52
What is b in -3*b**3/5 + 12702*b**2 - 37925817*b/5 + 7572462 = 0?
1, 614, 20555
What is n in -2*n**2/11 + 35883148*n/11 - 160950038798738/11 = 0?
8970787
Find r such that -9*r**5 - 55140*r**4 + 1068687*r**3 - 4406106*r**2 + 3540852*r + 4646376 = 0.
-6146, -2/3, 3, 14
Determine k, given that 14*k**5/9 - 80*k**4/9 - 838*k**3/9 + 1960*k**2/9 + 9824*k/9 - 10880/9 = 0.
-5, -4, 1, 4, 68/7
Solve -3*n**2 + 4813227*n + 173280060 = 0 for n.
-36, 1604445
Factor -3*h**3/4 + 3918771*h**2/2 + 15675093*h/4 + 1959387.
-3*(h - 2612516)*(h + 1)**2/4
Factor -n**3 + 79332*n**2 + 7943101*n + 7863768.
-(n - 79432)*(n + 1)*(n + 99)
Factor -3*z**2 - 243135*z/2 - 2309241/2.
-3*(z + 40513)*(2*z + 19)/2
Factor 57092*p**3 - 970560*p**2 - 68*p.
4*p*(p - 17)*(14273*p + 1)
Factor 2*n**2/5 + 2054922*n/5.
2*n*(n + 1027461)/5
Factor 5*l**3 - 323340*l**2 - 2586965*l - 4850700.
5*(l - 64676)*(l + 3)*(l + 5)
What is j in 6*j**3/11 + 2766*j**2/11 - 3803616*j - 49648781736/11 = 0?
-1686, 2911
What is s in -2*s**3/9 + 29336*s**2/3 + 29350*s/3 - 1760200/9 = 0?
-5, 4, 44005
Factor -3*w**3 - 19767*w**2 + 19788*w + 118620.
-3*(w - 3)*(w + 2)*(w + 6590)
Solve 2*j**4/3 + 1234168*j**3/3 + 63505747192*j**2 + 37305828030016*j/3 + 1827404963420288/3 = 0 for j.
-308444, -98
Suppose 5*x**4 - 2087475*x**3 + 217889074380*x**2 - 2396502191980*x - 2614393353840 = 0. Calculate x.
-1, 12, 208742
Suppose -n**3 - 18802*n**2 - 1348956*n - 7417080 = 0. What is n?
-18730, -66, -6
Solve -m**4 + 600*m**3 - 50573*m**2 + 686214*m + 2530080 = 0.
-3, 21, 80, 502
Factor 6338*o**2/7 - 28426*o/7 + 4500.
2*(o - 2)*(3169*o - 7875)/7
Factor x**2 - 8366811*x + 25100424.
(x - 8366808)*(x - 3)
Factor 2*n**4 - 158146*n**3 + 3128087550*n**2 - 71862378750*n.
2*n*(n - 39525)**2*(n - 23)
Solve -b**3 + 4266*b**2 + 81565*b - 642750 = 0 for b.
-25, 6, 4285
Determine r, given that r**3 - 22*r**2 - 76859*r + 230748 = 0.
-268, 3, 287
What is z in 2*z**5/5 - 8464*z**4/5 + 8878428*z**3/5 + 161806144*z**2/5 + 160633850*z + 130050000 = 0?
-9, -8, -1, 2125
Factor -3*b**2 - 75435*b + 18046602.
-3*(b - 237)*(b + 25382)
Suppose 12604*g**2/7 + 433940*g + 3856/7 = 0. Calculate g.
-241, -4/3151
What is l in l**5/4 + 9787*l**4/2 + 47814333*l**3/2 - 383371434*l**2 + 7768835685*l/4 - 6044347575/2 = 0?
-9795, 3, 6, 7
Let 3*z**4/4 + 1989*z**3/2 + 257178*z**2 - 49271040*z + 874473600 = 0. Calculate z.
-728, 20, 110
What is g in -4*g**4 - 104940*g**3 - 667635696*g**2 + 272658118480*g - 1079943585600 = 0?
-13310, 4, 381
Determine w, given that -2*w**3/5 + 40*w**2 + 9974*w/5 - 159068/5 = 0.
-46, 13, 133
Factor -p**3 - 1123*p**2 - 257975*p + 33528859.
-(p - 91)*(p + 607)**2
Determine k so that -122*k**2 + 982591*k/2 - 12081/2 = 0.
3/244, 4027
Solve -4*p**5 + 24148*p**4 + 96724*p**3 - 410692*p**2 - 580080*p + 869904 = 0 for p.
-6, -2, 1, 3, 6041
Factor -x**3 + 9960*x**2 - 168971*x - 596580.
-(x - 9943)*(x - 20)*(x + 3)
Factor 25*b**2 - 70744755*b + 14148950.
5*(b - 2829790)*(5*b - 1)
Determine f, given that -2*f**4/5 + 185456*f**3/5 - 370802*f**2/5 - 9457836*f/5 - 20028816/5 = 0.
-4, -3, 9, 92726
Find m such that 2*m**5/5 + 302*m**4/5 + 8898*m**3/5 + 52594*m**2/5 - 1780*m - 52896/5 = 0.
-114, -29, -8, -1, 1
Let 4*f**3 - 18436*f**2 - 24063480*f = 0. Calculate f.
-1061, 0, 5670
Let -q**3 + 101*q**2 + 62356*q + 431200 = 0. What is q?
-200, -7, 308
Solve 2*m**3 + 1046*m**2 + 40904*m - 180480 = 0 for m.
-480, -47, 4
What is m in 2*m**3/3 - 13360*m**2/3 + 345698*m/3 + 687580 = 0?
-5, 31, 6654
Let g**2/3 + 90656222*g/3 + 2054637646828321/3 = 0. What is g?
-45328111
Determine s, given that s**5 - 50488*s**4 + 1413124*s**3 - 12312912*s**2 + 33909696*s - 29064960 = 0.
2, 12, 50460
What is u in u**4/9 + 44*u**3/9 - 75388*u**2 = 0?
-846, 0, 802
Find x such that x**2/4 + 93073*x/2 + 2419729/4 = 0.
-186133, -13
Factor k**4/6 + 5120*k**3/3 + 243456*k**2 + 11649024*k + 186089472.
(k + 48)**3*(k + 10096)/6
Factor 3*m**3 - 53703*m**2 - 1937547*m + 6295887.
3*(m - 17937)*(m - 3)*(m + 39)
Determine k, given that -5*k**3 + 4910*k**2 + 500825*k - 1021250 = 0.
-95, 2, 1075
Factor 3*n**3 - 32847*n**2 - 10505580*n.
3*n*(n - 11260)*(n + 311)
Factor -2*q**3 - 84220*q**2 + 1853566*q - 10195944.
-2*(q - 11)**2*(q + 42132)
Factor -2*s**2 - 4595718*s - 64339660.
-2*(s + 14)*(s + 2297845)
Factor 52535*y**5 + 210130*y**4 - 40*y**3.
5*y**3*(y + 4)*(10507*y - 2)
Solve -5*q**4 + 50228720*q**3 + 50228725*q**2 = 0.
-1, 0, 10045745
Suppose 2*g**3/3 + 14236*g**2/3 - 8*g/3 - 56944/3 = 0. What is g?
-7118, -2, 2
What is b in b**3 + 677*b**2 + 96610*b - 195936 = 0?
-471, -208, 2
Determine z, given that -3*z**2/7 + 18914412*z/7 - 29812915108812/7 = 0.
3152402
Determine b so that -100*b**3 - 966792*b**2 + 5881744*b - 464352 = 0.
-9674, 2/25, 6
Factor 32*h**4/5 + 3408*h**3/5 + 76082*h**2/5 - 780432*h/5 + 1678112/5.
2*(h - 4)**2*(4*h + 229)**2/5
Factor y**2/5 + 3869598*y/5 - 3869603.
(y - 5)*(y + 3869603)/5
Solve -315*j**3 + 13278070*j**2 + 18547635*j + 5269250 = 0.
-1, -25/63, 42154
Determine i so that -2*i**5/3 - 780300*i**4 - 228320071552*i**3 + 9589901827072*i**2/3 = 0.
-585232, 0, 14
Suppose 122911*s**3/2 + 1352023*s**2/2 - 3687319*s - 60 = 0. Calculate s.
-15, -2/122911, 4
Determine p, given that p**3 - 6251*p**2 + 2234148*p + 13630140 = 0.
-6, 387, 5870
Determine m, given that -4*m**5/5 - 116*m**4 - 2876*m**3/5 + 62788*m**2/5 - 159408*m/5 + 20016 = 0.
-139, -15, 1, 2, 6
Factor -2*v**2/7 - 684*v/7 + 366560/7.
-2*(v - 290)*(v + 632)/7
Factor -3*z**2/7 + 642*z + 33983109/7.
-3*(z - 4197)*(z + 2699)/7
Suppose -6*g**5/5 - 327*g**4 - 147933*g**3/5 - 4415151*g**2/5 + 538707*g + 2696670 = 0. Calculate g.
-95, -83, -3/2, 2
Factor -46*r**2/25 - 428136*r/25 - 1414208/25.
-2*(r + 9304)*(23*r + 76)/25
Let -4*a**2 + 3408*a - 700304 = 0. Calculate a.
346, 506
Factor -q**2/2 + 78633259*q/2 + 39316630.
-(q - 78633260)*(q + 1)/2
Factor h**3/3 - 4574491*h**2/3 + 9148970*h.
h*(h - 4574485)*(h - 6)/3
Factor i**2/2 - 49463*i/2 + 988460.
(i - 49423)*(i - 40)/2
Factor k**2 + 57360508*k + 822556969504516.
(k + 28680254)**2
Factor 4*w**3/3 + 147632*w**2/3 + 590480*w/3 + 590464/3.
4*(w + 2)**2*(w + 36904)/3
Factor -4*m**2/7 - 7669752*m + 107376544/7.
-4*(m - 2)*(m + 13422068)/7
What is f in f**3 + 3931*f**2 + 4512435*f + 1609548633 = 0?
-2233, -849
What is j in -22*j**5 + 5914*j**4 - 239406*j**3 - 18157666*j**2 - 3293444*j = 0?
-37, -2/11, 0, 119, 187
Factor 2*h**2 - 7648*h - 8615880.
2*(h - 4734)*(h + 910)
What is g in 4*g**5 + 1186*g**4 - 23128*g**3 + 57740*g**2 + 129300*g + 47250 = 0?
-315, -1, -1/2, 5, 15
Factor 2*a**3 + 51596*a**2 - 2274696*a - 15505200.
2*(a - 50)*(a + 6)*(a + 25842)
Suppose 5*l**3 - 21590*l**2 - 411595*l - 1821540 = 0. What is l?
-12, -7, 4337
Determine n so that -216148*n**3 + 6484600*n**2 - 48638100*n + 36000 = 0.
40/54037, 15
Let -2*j**5/9 - 4634*j**4/9 + 12978*j**3 - 697462*j**2/9 + 1063064*j/9 - 159256/3 = 0. What is j?
-2342, 1, 6, 17
Let -46*d**4 + 3748*d**3 + 13720*d**2 + 4316*d - 5610 = 0. Calculate d.
-3, -1, 11/23, 85
Find a such that -7*a**2/5 - 4814*a - 237200 = 0.
-23720/7, -50
Factor -27*f**2 + 35198421*f - 7821870.
-3*(f - 1303645)*(9*f - 2)
Suppose -w**2/2 + 1462687*w + 5850756 = 0. What is w?
-4, 2925378
Factor 2*n**2/3 - 854414*n/3 + 6834928.
2*(n - 427183)*(n - 24)/3
What is w in -3*
|
{
"pile_set_name": "DM Mathematics"
}
|
-132, -95, -24, 93?
2*t**3 - t**2 + 4*t - 152
What is the g'th term of -11, -53, -129, -245, -407, -621, -893?
-g**3 - 11*g**2 - 2*g + 3
What is the h'th term of 11, 44, 97, 170, 263?
10*h**2 + 3*h - 2
What is the j'th term of -20, -46, -80, -122, -172?
-4*j**2 - 14*j - 2
What is the l'th term of -27, -6, 35, 102, 201?
l**3 + 4*l**2 + 2*l - 34
What is the x'th term of -30632, -30636, -30654, -30692, -30756?
-x**3 - x**2 + 6*x - 30636
What is the w'th term of -19, -44, -71, -100, -131, -164, -199?
-w**2 - 22*w + 4
What is the k'th term of 252, 506, 760, 1014?
254*k - 2
What is the f'th term of -349, -700, -1051, -1402, -1753?
-351*f + 2
What is the d'th term of 304, 616, 918, 1204, 1468, 1704, 1906, 2068?
-d**3 + d**2 + 316*d - 12
What is the y'th term of -98, -133, -168, -203, -238, -273?
-35*y - 63
What is the g'th term of -22, -93, -210, -373?
-23*g**2 - 2*g + 3
What is the g'th term of -96, -87, -66, -27, 36?
g**3 + 2*g - 99
What is the m'th term of -49, -105, -165, -229?
-2*m**2 - 50*m + 3
What is the i'th term of -1767, -1765, -1763, -1761?
2*i - 1769
What is the c'th term of 92, 152, 214, 278, 344, 412?
c**2 + 57*c + 34
What is the b'th term of -157, -314, -473, -634, -797, -962, -1129?
-b**2 - 154*b - 2
What is the w'th term of -144, -325, -520, -735, -976, -1249, -1560?
-w**3 - w**2 - 171*w + 29
What is the z'th term of -4, -26, -58, -100, -152, -214?
-5*z**2 - 7*z + 8
What is the w'th term of 438, 443, 450, 459?
w**2 + 2*w + 435
What is the b'th term of -34, -39, -12, 65, 210?
3*b**3 - 2*b**2 - 20*b - 15
What is the o'th term of 7, 7, 21, 55, 115, 207, 337, 511?
o**3 + o**2 - 10*o + 15
What is the j'th term of -52, -63, -74, -85?
-11*j - 41
What is the a'th term of -105, -188, -271, -354, -437?
-83*a - 22
What is the b'th term of -330, -644, -944, -1224, -1478?
b**3 + b**2 - 324*b - 8
What is the r'th term of -5, -69, -253, -617, -1221, -2125, -3389, -5073?
-10*r**3 + 6*r - 1
What is the a'th term of -3439, -6877, -10315, -13753?
-3438*a - 1
What is the l'th term of -2688, -2684, -2682, -2682, -2684, -2688?
-l**2 + 7*l - 2694
What is the m'th term of 2, 69, 254, 617, 1218?
10*m**3 - m**2 - 7
What is the w'th term of 23329, 23328, 23327, 23326?
-w + 23330
What is the y'th term of 249, 246, 241, 234, 225, 214, 201?
-y**2 + 250
What is the p'th term of 25, 18, 11?
-7*p + 32
What is the v'th term of -152, -596, -1342, -2396, -3764, -5452, -7466, -9812?
-v**3 - 145*v**2 - 2*v - 4
What is the h'th term of -18, -57, -122, -213, -330, -473?
-13*h**2 - 5
What is the z'th term of 15, 32, 65, 120, 203?
z**3 + 2*z**2 + 4*z + 8
What is the u'th term of -14, -8, 16, 64, 142, 256?
u**3 + 3*u**2 - 10*u - 8
What is the f'th term of 29, 63, 99, 137, 177, 219, 263?
f**2 + 31*f - 3
What is the k'th term of 17, 31, 41, 47, 49, 47, 41?
-2*k**2 + 20*k - 1
What is the n'th term of -46, -51, -56?
-5*n - 41
What is the b'th term of 12, 27, 32, 21, -12, -73, -168?
-b**3 + b**2 + 19*b - 7
What is the t'th term of 9, 64, 163, 306?
22*t**2 - 11*t - 2
What is the l'th term of 94, 167, 240, 313, 386?
73*l + 21
What is the u'th term of 94, 179, 248, 295, 314, 299, 244, 143?
-u**3 - 2*u**2 + 98*u - 1
What is the b'th term of -1413, -2829, -4245?
-1416*b + 3
What is the h'th term of -1153, -1161, -1173, -1189, -1209, -1233, -1261?
-2*h**2 - 2*h - 1149
What is the y'th term of 6, 37, 92, 171, 274?
12*y**2 - 5*y - 1
What is the g'th term of 4946, 9892, 14838, 19784?
4946*g
What is the h'th term of -19, -46, -85, -142, -223, -334, -481, -670?
-h**3 - 20*h + 2
What is the d'th term of 51, 150, 303, 516, 795, 1146, 1575, 2088?
d**3 + 21*d**2 + 29*d
What is the t'th term of 48, 204, 470, 852, 1356?
t**3 + 49*t**2 + 2*t - 4
What is the b'th term of 496, 996, 1496, 1996, 2496?
500*b - 4
What is the z'th term of -635, -638, -651, -680, -731, -810, -923, -1076?
-z**3 + z**2 + z - 636
What is the k'th term of 20, -72, -314, -778, -1536, -2660, -4222, -6294?
-12*k**3 - 3*k**2 + k + 34
What is the n'th term of 114, 237, 360, 483, 606, 729?
123*n - 9
What is the z'th term of -74, -118, -186, -290, -442?
-2*z**3 - 30*z - 42
What is the o'th term of 224, 223, 222?
-o + 225
What is the x'th term of -20128, -20127, -20126, -20125, -20124, -20123?
x - 20129
What is the y'th term of -67, -139, -213, -289?
-y**2 - 69*y + 3
What is the m'th term of 337, 333, 329?
-4*m + 341
What is the m'th term of -12, 3, 18, 33, 48, 63?
15*m - 27
What is the o'th term of -358, -356, -354, -352, -350?
2*o - 360
What is the m'th term of -234, -472, -710, -948, -1186?
-238*m + 4
What is the c'th term of 1082, 1085, 1088, 1091?
3*c + 1079
What is the j'th term of -36, -58, -80, -102, -124, -146?
-22*j - 14
What is the l'th term of 54, 53, 52, 51, 50?
-l + 55
What is the a'th term of 20, 16, 14, 20, 40, 80, 146?
a**3 - 5*a**2 + 4*a + 20
What is the p'th term of 11705, 11703, 11701?
-2*p + 11707
What is the h'th term of -139, -114, -59, 38, 189?
2*h**3 + 3*h**2 + 2*h - 146
What is the q'th term of 33, 62, 85, 102, 113, 118, 117?
-3*q**2 + 38*q - 2
What is the p'th term of -307, -620, -939, -1264?
-3*p**2 - 304*p
What is the i'th term of 7, 49, 179, 445, 895, 1577, 2539, 3829?
8*i**3 - 4*i**2 - 2*i + 5
What is the v'th term of -68, -149, -260, -413, -620, -893?
-2*v**3 - 3*v**2 - 58*v - 5
What is the d'th term of 35, 35, 25, -1, -49, -125, -235, -385?
-d**3 + d**2 + 4*d + 31
What is the m'th term of -3, -6, -17, -36, -63?
-4*m**2 + 9*m - 8
What is the p'th term of -2249, -2260, -2285, -2330, -2401?
-p**3 - p**2 - p - 2246
What is the g'th term of 311, 1235, 2775, 4931?
308*g**2 + 3
What is the b'th term of -89, -97, -105, -113?
-8*b - 81
What is the m'th term of -30011, -30012, -30013, -30014?
-m - 30010
What is the h'th term of 623, 625, 629, 635, 643, 653?
h**2 - h + 623
What is the i'th term of -88, -344, -772, -1372, -2144?
-86*i**2 + 2*i - 4
What is the l'th term of 2728, 2748, 2780, 2830, 2904, 3008, 3148?
l**3 + 13*l + 2714
What is the q'th term of -40, -97, -156, -217, -280, -345, -412?
-q**2 - 54*q + 15
What is the m'th term of -128, -503, -1128, -2003, -3128, -4503, -6128?
-125*m**2 - 3
What is the q'th term of -481, -962, -1441, -1918, -2393?
q**2 - 484*q + 2
What is the u'th term of -298, -600, -902?
-302*u + 4
What is the d'th term of 54, 102, 150, 198, 246?
48*d + 6
What is the r'th term of -2225, -8884, -19981, -35516, -55489?
-2219*r**2 - 2*r - 4
What is the m'th term of -1127, -1126, -1125, -1124, -1123?
m - 1128
What is the d'th term of 2511, 5021, 7531, 10041, 12551, 15061?
2510*d + 1
What is the a'th term of -59, -113, -211, -359, -563?
-a**3 - 16*a**2 + a - 43
What is the n'th term of -2863, -2864, -2865, -2866?
-n - 2862
What is the f'th term of 593, 631, 669, 707, 745, 783?
38*f + 555
What is the p'th term of 126, 129, 134, 141, 150, 161?
p**2 + 125
What is the d'th term of -3, 22, 93, 234, 469, 822, 1317?
4*d**3 - d**2 - 6
What is the j'th term of -516, -522, -528?
-6*j - 510
What is the q'th term of 4, -6, -16, -26, -36, -46?
-10*q + 14
What is the y'th term of -228, -230, -244, -276, -332, -418?
-y**3 + 5*y - 232
What is the m'th term of 263, 528, 793, 1058?
265*m - 2
What is the p'th term of 46, 37, 28, 19?
-9*p + 55
What is the y'th term of 388, 390, 392, 394, 396, 398?
2*y + 386
What is the x'th term of 535, 1071, 1607, 2143?
536*x - 1
What is the x'th term of -18, -34, -58, -90, -130?
-4*x**2 - 4*x - 10
What is the y'th term of 224, 229, 234, 239?
5*y + 219
What is the p'th term of 443, 886, 1329, 1772, 2215?
443*p
What is the l'th term of 9418, 9414, 9412, 9412, 9414?
l**2 - 7*l + 9424
What is the i'th term of -153, -146, -129, -96, -41, 42, 159?
i**3 - i**2 + 3*i - 156
What is the q'th term of 77, 153, 235, 323, 417?
3*q**2 + 67*q + 7
What is the h'th term of -372, -361, -342, -315?
4*h**2 - h - 375
What is the j'th term of 5, 34, 79, 140, 217, 310, 419?
8*j**2 + 5*j - 8
What is the h'th term of -69, -3, 63, 129, 195?
66*h - 135
What is the r'th term of -1218, -1214, -1208, -1200?
r**2 + r - 1220
What is the s'th term of -1846, -1848, -1850, -1852, -1854?
-2*s - 1844
What is the s'th term of 2297, 2317, 2337, 2357?
20*s + 2277
What is the n'th term of -1858, -3727, -5598, -7471, -9346?
-n**2 - 1866*n + 9
What is the m'th term of -36, -31, -26, -21, -16, -11?
5*m - 41
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
*sqrt(77))/sqrt(7))*5)**2.
-200*sqrt(11) + 4425
Simplify (1*sqrt(132)*-5 - 4*(sqrt(132) + 2*sqrt(132)))/(sqrt(84)/(sqrt(700)*-1)) + -2.
-2 + 170*sqrt(11)
Simplify (sqrt(176) + -1 + 2 - -5*(-1*sqrt(176) - sqrt(176)))**2 + -5*((sqrt(77)*2 + sqrt(77))/sqrt(7))**2*4.
-72*sqrt(11) + 12277
Simplify (1*sqrt(68)*2 + sqrt(68) + 5*((sqrt(68) - (1*sqrt(68) - sqrt(68))) + sqrt(68)))/(2*sqrt(36)*-4).
-13*sqrt(17)/24
Simplify -4*(0 + sqrt(637) + -5 + 0 - -6*(-4*(sqrt(637) + 0) - sqrt(637))**2).
-382180 - 28*sqrt(13)
Simplify ((6*(sqrt(128)*-1 + sqrt(128) + 5))**2 - (((sqrt(128) + -1)*2)**2 + 4)) + 4.
64*sqrt(2) + 384
Simplify -5 + sqrt(28)/(1*sqrt(196)) + 2.
-3 + sqrt(7)/7
Simplify 1*(1 + (-1*sqrt(520))/sqrt(10))*-6.
-6 + 12*sqrt(13)
Simplify 4 + 2 + sqrt(143)/sqrt(11) - (((sqrt(91) + -1*sqrt(91))*1)/sqrt(7))**2.
sqrt(13) + 6
Simplify -1 + ((sqrt(143) - 2*sqrt(143))*2 + (sqrt(143) - 3*sqrt(143)*-2))/((sqrt(121) + sqrt(121)*-2)/sqrt(11) + 1*sqrt(11)*3).
-1 + 5*sqrt(13)/2
Simplify ((sqrt(77) + 3*(sqrt(77) - (sqrt(77)*-4 + sqrt(77) + sqrt(77))))/(sqrt(539)*2 + sqrt(539)))**2.
100/63
Simplify ((3*(sqrt(68)*1 + sqrt(68)) + sqrt(68) - sqrt(68))/(sqrt(324)*4 + sqrt(4))*5)**2.
15300/1369
Simplify -3 + (2*(sqrt(85) - sqrt(85)*-1)*-3)/((sqrt(5) + sqrt(270)/sqrt(6))*6).
-3 - sqrt(17)/2
Simplify (((2*sqrt(60))/sqrt(6) + sqrt(10))/(((sqrt(30)*-1)/sqrt(6) - sqrt(5)) + sqrt(5)) + 4)**2.
-24*sqrt(2) + 34
Simplify sqrt(132)/(4*sqrt(1100) + sqrt(1100))*5.
sqrt(3)/5
Simplify -4 + ((4*-5*sqrt(88)*1)/(sqrt(392) - (sqrt(392) - -1*(sqrt(392)*-2 - sqrt(392)))))**2.
2636/441
Simplify (((sqrt(110) + (sqrt(110)*-2*2 + sqrt(110) - sqrt(110)))*3)/((sqrt(480)*-1 - sqrt(480))/sqrt(3)))**2.
891/64
Simplify 0 + sqrt(119)/sqrt(448) + 5*(sqrt(17) - (-4 + sqrt(17))).
sqrt(17)/8 + 20
Simplify 1 + -4*(sqrt(19) - -5*sqrt(1900)) + 1.
-204*sqrt(19) + 2
Simplify -3 + (sqrt(21)/sqrt(3))**2 + 4 - (sqrt(56)/(-1*sqrt(8)) - (-3 + sqrt(28)/sqrt(4))).
5 + 2*sqrt(7)
Simplify -5 + (sqrt(108)*-3 + 3 + -1*sqrt(108)*6)**2 + -1.
-324*sqrt(3) + 8751
Simplify (sqrt(27) + 0)*-2*4 + -3*((sqrt(12)/sqrt(4) - sqrt(3))*2 - (sqrt(300)*-2 + sqrt(3))**2).
-24*sqrt(3) + 3249
Simplify ((sqrt(567) - (sqrt(567) + 0 + sqrt(567)))*3)**2 + -5 + -4.
5094
Simplify (sqrt(48)*1 - ((sqrt(3) - (sqrt(3) + 1))*-5)**2) + 5 + 1*(0 + sqrt(3)).
-20 + 5*sqrt(3)
Simplify (-2*sqrt(272)*-2 + 4 + -2 + sqrt(272))**2.
80*sqrt(17) + 6804
Simplify (sqrt(1573) - ((sqrt(1573)*2)**2 + sqrt(1573)))*-1 + sqrt(1573) + 1*(sqrt(1573) + 1) + ((2 + sqrt(1573))*1)**2*6.
286*sqrt(13) + 15755
Simplify ((2*sqrt(324))/sqrt(3) - (-1*sqrt(3) + -1)*2) + 2.
4 + 14*sqrt(3)
Simplify (5 + sqrt(85)/sqrt(5)*1)**2 - 2*(sqrt(1088) + 2).
-6*sqrt(17) + 38
Simplify (0 + ((sqrt(108)*-3)/sqrt(6))/(sqrt(486) + -2*sqrt(486)))*-2.
-2*sqrt(3)/3
Simplify (-5*5*-3*sqrt(114))/(sqrt(216) + (sqrt(216) + -1*sqrt(216))*6).
25*sqrt(19)/2
Simplify ((1*sqrt(209))/sqrt(11) - (sqrt(931) + -2*sqrt(931))**2) + ((1*(sqrt(171) + sqrt(171)*2 + sqrt(171) + sqrt(171)) - sqrt(171))/sqrt(9))**2.
-627 + sqrt(19)
Simplify (-1 + sqrt(22)/(sqrt(33)/sqrt(3)) + (4*(sqrt(98) + 2 - sqrt(98)) - sqrt(98)))**2.
-84*sqrt(2) + 121
Simplify (-5 + 1 + sqrt(171))**2 + -1*((sqrt(19) - 2*sqrt(38)/sqrt(2)) + sqrt(19)).
-24*sqrt(19) + 187
Simplify 4 + (sqrt(170)/sqrt(160) - (sqrt(17) + -1)*1 - (sqrt(119)/(sqrt(14)/sqrt(2))*1)**2).
-12 - 3*sqrt(17)/4
Simplify (sqrt(504) + sqrt(504)*-2 + -2*1*sqrt(56))/(sqrt(24)/(sqrt(27)*2)).
-30*sqrt(7)
Simplify (sqrt(10)/(-2*sqrt(6)/sqrt(3)) - sqrt(45)*1*3) + -2.
-19*sqrt(5)/2 - 2
Simplify (1*-3*5*(1 + sqrt(252) + 4))**2*-4.
-249300 - 54000*sqrt(7)
Simplify ((-5*sqrt(112)*1 - sqrt(112)) + -4 + (sqrt(112) - sqrt(112)*2*4 - sqrt(112) - ((sqrt(112) - (0 + sqrt(112))) + 2 - sqrt(112) - sqrt(112))))**2.
576*sqrt(7) + 16164
Simplify (5*sqrt(70)*4)/(5*sqrt(490)).
4*sqrt(7)/7
Simplify 6*(-4 + (sqrt(2) - (sqrt(20)/sqrt(90))**2) - -5*(sqrt(2) - (sqrt(2) + (-2*sqrt(4))/sqrt(2)))).
-76/3 + 66*sqrt(2)
Simplify ((sqrt(21) - (sqrt(252)*1)/sqrt(12))/sqrt(7) + 3)*-1*5.
-15
Simplify (1 + 2 + sqrt(12) + 3)**2 + (1 + -2*(sqrt(12) + -2))**2.
-16*sqrt(3) + 121
Simplify -4 + sqrt(7) + (-2*sqrt(77) + sqrt(77))/sqrt(11) + sqrt(7) + -4 + -2*sqrt(7) + -4 + 2.
-10 - sqrt(7)
Simplify 5 + sqrt(114)/sqrt(6) + -2 + (sqrt(228)/(sqrt(12) - sqrt(12)*-2) + 2)**2.
82/9 + 7*sqrt(19)/3
Simplify (5*(sqrt(117) - (sqrt(117) + (sqrt(117)*2 + sqrt(117))*-4))/sqrt(9))**2*6.
280800
Simplify ((sqrt(1539) - 1*3*sqrt(1539)) + sqrt(1539) - (sqrt(1539) + -2)*1)**2*1.
-72*sqrt(19) + 6160
Simplify 0 + -3*1*sqrt(1053) + -5*(sqrt(1053) + 4).
-72*sqrt(13) - 20
Simplify 3*(2*-5*(sqrt(1216) - sqrt(19)) + 2)**2.
-840*sqrt(19) + 279312
Simplify 3*(-2 + -4 + (-1 + sqrt(1573) - sqrt(1573) - sqrt(1573))*1 + sqrt(1573))**2.
147
Simplify (-4*4*sqrt(156))/(sqrt(432)*-5).
8*sqrt(13)/15
Simplify (sqrt(42)/sqrt(32))/(sqrt(36)/sqrt(48)).
sqrt(7)/2
Simplify ((sqrt(66) + sqrt(66) + (sqrt(66) - -2*sqrt(66)*-6))/(sqrt(6) + (sqrt(864) - sqrt(864)*-4)))**2.
891/3721
Simplify -4*(sqrt(405) - (sqrt(405) + -2)*-1)*2.
-144*sqrt(5) + 16
Simplify ((sqrt(5) + sqrt(80) + 0 - (-2 + sqrt(5))*-1) + 2*sqrt(500) + sqrt(10)/sqrt(2)*5)**2.
-124*sqrt(5) + 4809
Simplify (sqrt(26)/(-5*sqrt(6)/sqrt(3))*1 + 2*(sqrt(91)/(sqrt(28) - sqrt(7)) - sqrt(130)/(sqrt(10)*-1)))**2.
4693/25
Simplify ((sqrt(78) - (sqrt(78) - (5*sqrt(78)*-1 + sqrt(78) + sqrt(78) - sqrt(78)) - sqrt(78)))/(sqrt(600)*-2)*5*-3)**2.
1053/16
Simplify ((sqrt(448)*1)**2*4 + 0)*-5 + -2.
-8962
Simplify (sqrt(3) - (sqrt(48)/sqrt(4))**2 - (sqrt(147) + 1 + sqrt(147))) + (-3*(sqrt(12) + 0)**2 - sqrt(24)/sqrt(2)*4).
-49 - 21*sqrt(3)
Simplify (sqrt(400) + sqrt(400) + -2*sqrt(400)*-6 + sqrt(400))/(-2*sqrt(288)).
-25*sqrt(2)/4
Simplify ((sqrt(1911) + -2*sqrt(1911))*-6)/((sqrt(36)/sqrt(3)*-4)/sqrt(4)).
-21*sqrt(13)/2
Simplify 5*((-4 + -4 + sqrt(20)*1)**2 + -5).
-160*sqrt(5) + 395
Simplify -5*(-5*(sqrt(5) + -2) + -2 + 4).
-60 + 25*sqrt(5)
Simplify ((1 + sqrt(2))*-4 - ((sqrt(2) - (-4 + sqrt(32) + sqrt(2) + sqrt(2))) + sqrt(2) - sqrt(2))) + sqrt(72)*2 + (sqrt(128) + -2)**2.
-19*sqrt(2) + 124
Simplify -2*(0 + (2*(1 + sqrt(147)) + 3)**2).
-1226 - 280*sqrt(3)
Simplify (2*sqrt(170)*1 - (sqrt(170) - 1*sqrt(170)*5))/(4*sqrt(30)/sqrt(3) - sqrt(10) - (-2*-2*sqrt(10) + sqrt(10))).
-3*sqrt(17)
Simplify (-1 + sqrt(1053) + -1)**2 - (2*sqrt(78)*-2)/sqrt(6).
-32*sqrt(13) + 1057
Simplify sqrt(1900) - (3*1*sqrt(1900))**2 - ((1 + sqrt(1900))*-4)**2 - (5*(0 + sqrt(1900))**2 + 3).
-57019 - 310*sqrt(19)
Simplify -5*(3*sqrt(1539) + 4 - (sqrt(19) + sqrt(76)/sqrt(16) - ((sqrt(19) - sqrt(304)) + -5 + sqrt(19))))**2.
-209875/4 + 235*sqrt(19)
Simplify ((-2*1*sqrt(153) + sqrt(153) - sqrt(153)) + -3*(sqrt(153) + sqrt(153)*-2) + sqrt(153))/(sqrt(81)*2 + sqrt(9) - sqrt(36)*2).
2*sqrt(17)/3
Simplify -5 + 5 + ((-1 + sqrt(1100))*-2)**2 + 4.
-80*sqrt(11) + 4408
Simplify 0 + (sqrt(136)/(sqrt(648) - sqrt(648)*4))**2*3 + 2.
503/243
Simplify ((sqrt(135) - -2*sqrt(135))/sqrt(9) - sqrt(135)/sqrt(81))/(sqrt(300) + 3*1*sqrt(300)).
sqrt(5)/15
Simplify (sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) + (-2*sqrt(77) - sqrt(77)))))/sqrt(11) + ((sqrt(189)/sqrt(3))/sqrt(9))**2 + (sqrt(21)/sqrt(3)*-2)**2 + 3.
5*sqrt(7) + 38
Simplify ((sqrt(204) + (sqrt(204) - 5*sqrt(204)))*-4 - sqrt(204))/(sqrt(72)/(sqrt(36)/sqrt(6))) + 1.
1 + 11*sqrt(17)
Simplify 0 + 0 + sqrt(84)/(sqrt(144)/sqrt(432))*-5.
-30*sqrt(7)
Simplify ((sqrt(456) - (sqrt(456) + -3*sqrt(456)*1))/sqrt(8))/((sqrt(3) + sqrt(6)/sqrt(2))*5*-5).
-3*sqrt(19)/50
Simplify ((sqrt(3) - (sqrt(3) + (sqrt(3) - (sqrt(75) - sqrt(3))*-4))) + 4 - (0 + (sqrt(12)/sqrt(4)*-2)**2)) + 5.
-17*sqrt(3) - 3
Simplify 6*((sqrt(132) + (sqrt(132) - (sqrt(132) + (sqrt(132) - (sqrt(132) - (sqrt(132)*1 + sqrt(132)))))))*4)/(sqrt(1200)*1).
-12*sqrt(11)/5
Simplify (2 + -2*sqrt(363)*-2 + sqrt(363) + sqrt(363) + sqrt(363) + 5*(0 + sqrt(363)) + sqrt(363) + -1*sqrt(363) + -5 + sqrt(363))**2 + 1.
-858*sqrt(3) + 61357
Simplify (5*sqrt(18)/(sqrt(9)*-2 - sqrt(9)))**2 - (3 + (-1 + sqrt(2))**2*5).
-112/9 + 10*sqrt(2)
Simplify (sqrt(171) + 1 + sqrt(171)*1 + 0 + 2 + -3)**2.
684
Simplify ((sqrt(15) - sqrt(150)/(1*sqrt(10)))/sqrt(3) - (-5 + sqrt(245) + sqrt(245) + 1 + sqrt(245) + sqrt(245) - sqrt(245))**2) + 3.
-2218 + 168*sqrt(5)
Simplify (sqrt(85)/sqrt(5) + -2)*-2 + sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
/l))/(l**(1/6))**40 assuming l is positive.
l**(-29/3)
Simplify (r**(-1/10)/((((r**(-1/4)*r)/r)/r)/r))/(r/(r**(2/5)/r))**(-8) assuming r is positive.
r**(299/20)
Simplify q*q/(q*q*q*(q*q**2)/q*q)*q*q**(2/21) assuming q is positive.
q**(-61/21)
Simplify ((j**(-4)/j)/(j*j**10*j))**(-28) assuming j is positive.
j**476
Simplify (z*z**11*z**(-4))**(-7) assuming z is positive.
z**(-56)
Simplify (q**0)**(7/11) assuming q is positive.
1
Simplify (c/(c**1/c)*c)**(4/25)/(c*c**(2/3)*c)**(-1/16) assuming c is positive.
c**(73/150)
Simplify (f*f**(2/67))/f**(-1/24) assuming f is positive.
f**(1723/1608)
Simplify ((k**(-4/5)*k)/(k**4/k*k))/(k**(2/7)/k**7) assuming k is positive.
k**(102/35)
Simplify ((w*w/(w*w**(3/5))*w*w)/w*w*w**18)**(-15) assuming w is positive.
w**(-306)
Simplify ((t**(-6)/t)**(-38/7))**(9/2) assuming t is positive.
t**171
Simplify (b**(-2))**(-2/7)/((b**7*b)/(((b*b**(-7/3)/b)/b)/b*b)) assuming b is positive.
b**(-226/21)
Simplify z**(-2/3)/z**13 assuming z is positive.
z**(-41/3)
Simplify ((u*u*u*u**(-3)*u*u)/(u/(u/(u/(u*u**8)))*u))/(u**(2/3))**48 assuming u is positive.
u**(-23)
Simplify z**(-12)*z/(z/(z*z*(z*z*z/z**(-1/9)*z)/z*z)) assuming z is positive.
z**(-53/9)
Simplify (a/(a/(a**(1/5)*a))*a*a**(1/5))**32 assuming a is positive.
a**(384/5)
Simplify (t**(-3/4)*t**(2/13))**10 assuming t is positive.
t**(-155/26)
Simplify (k/(k/(k/k**5))*k)/k*k/(k/k**(-3))*(k**(2/13)*k*k*k)/((k/((k*k*k/k**(2/9)*k)/k))/k) assuming k is positive.
k**(-125/117)
Simplify ((b/(b/b**(-1/2)))**27)**(2/63) assuming b is positive.
b**(-3/7)
Simplify i/(i**(1/8)*i)*i**(1/8) assuming i is positive.
1
Simplify (((u*(u/(u**36/u*u))/u)/u)/u)/u**(-5/4) assuming u is positive.
u**(-143/4)
Simplify l*l**(2/9)*l*l**(-39) assuming l is positive.
l**(-331/9)
Simplify ((g*g**(-3)/g*g)/(g**(-7)*g))**(-1/29) assuming g is positive.
g**(-4/29)
Simplify (u**1/u**(-3/4))/(u**(3/5)*u**5*u) assuming u is positive.
u**(-97/20)
Simplify (t**(4/15))**41 assuming t is positive.
t**(164/15)
Simplify u**11/((u/(u*u*u**(2/15)))/u) assuming u is positive.
u**(197/15)
Simplify (((u*u/u**3*u)/u*u)/(u**(2/3)/u))/((u/u**0)/(u**0*u)) assuming u is positive.
u**(1/3)
Simplify (q**(2/25)/q)/(q**(2/5)/q)*q**6/(q/(q**(-1/5)*q)*q) assuming q is positive.
q**(112/25)
Simplify ((k*k**(-18)*k)/(k/(k/k**(4/3))))**7 assuming k is positive.
k**(-364/3)
Simplify ((v**(-2))**18)**17 assuming v is positive.
v**(-612)
Simplify ((v/(v*v**0*v))/v*(v*v**(-2))/v*v)**(-23) assuming v is positive.
v**69
Simplify (v**(5/4))**(-40) assuming v is positive.
v**(-50)
Simplify (x/((x/(x/x**(-7/6))*x)/x))/x**(-19) assuming x is positive.
x**(127/6)
Simplify ((q*q*((q/(q*q/(q*q**(-9))))/q)/q)/q)**(-6/11) assuming q is positive.
q**(60/11)
Simplify (o*o**(1/2))**(-4/15)/(o**1)**(1/23) assuming o is positive.
o**(-51/115)
Simplify ((r*r**(-1/12)*r*r)/(r/r**(-1/4)))**35 assuming r is positive.
r**(175/3)
Simplify (u**(-1/5)*u/u**(-6/7))**(2/31) assuming u is positive.
u**(116/1085)
Simplify (b/(b*b**(1/12)*b)*b**(-8))**(3/29) assuming b is positive.
b**(-109/116)
Simplify (p/(p/(p*p*((p/p**(-5/4)*p)/p)/p*p)))**(-23) assuming p is positive.
p**(-391/4)
Simplify (o**(-6)*o*o/(o**5/o*o)*o*o)/((o*o*o*o/((o*o*o*o*o**0*o)/o))/o)**4 assuming o is positive.
o**(-3)
Simplify (q*q**3*q)/q**4*(q/q**(-2/7))**(-23) assuming q is positive.
q**(-200/7)
Simplify (k/k**(-1/5))**(-40) assuming k is positive.
k**(-48)
Simplify a/(a/a**(-1/3))*(a/(a/a**(2/11)))/a assuming a is positive.
a**(-38/33)
Simplify (c**(3/5))**(-12) assuming c is positive.
c**(-36/5)
Simplify c**(-1/17)/(c**(4/17)/c*c) assuming c is positive.
c**(-5/17)
Simplify (q*q**(1/3))**(2/39)*(((q/(q*(q/((q*q**(1/6))/q))/q)*q)/q*q*q)/q)/(q*q*q**(-2)*q) assuming q is positive.
q**(55/234)
Simplify (l/(l*l/l**(-2/19)))**(-24/7) assuming l is positive.
l**(72/19)
Simplify (m**(-4)*(m*m**(2/3))/m*m)/(m**0/m**(-4/7)) assuming m is positive.
m**(-61/21)
Simplify (m**(-1/3)/m**(-1/3))/(((m/(m*m*m**(3/4)*m*m))/m)/m**0) assuming m is positive.
m**(19/4)
Simplify q*q*q*q/(q**(-13/3)*q)*q*q**8 assuming q is positive.
q**(49/3)
Simplify ((f*f**(3/4)/f)/f)/f*f*(f**(-1/7)/f)/f assuming f is positive.
f**(-67/28)
Simplify (s/(s/(s/(s**(-16)/s*s))))**(3/5) assuming s is positive.
s**(51/5)
Simplify (t/(t/t**(-1)))**(1/5)*((t*t*t**(2/11)/t*t)/t)/((t*t**(5/4))/t) assuming t is positive.
t**(-59/220)
Simplify h**2*h**(2/27) assuming h is positive.
h**(56/27)
Simplify i**(-1/21)/i*(i*i/(i/(((i*i/i**0)/i*i)/i)*i))/i assuming i is positive.
i**(-22/21)
Simplify ((r**(-1))**(-5/6))**7 assuming r is positive.
r**(35/6)
Simplify q/((q/((q*q**(-7))/q*q))/q)*(q**30/q)/q assuming q is positive.
q**23
Simplify (i*i*i/(i/(i*i**(5/2)*i))*i*i*(i*i*i**(1/2))/i)/(i**(-5/3)/i**(6/7)) assuming i is positive.
i**(263/21)
Simplify (h**(-2/3)/h)**(-20/3) assuming h is positive.
h**(100/9)
Simplify (f*((f*f**4)/f)/f*f/f**(-4/5))**(-23/4) assuming f is positive.
f**(-667/20)
Simplify ((k**(1/3)*k)**40)**(28/3) assuming k is positive.
k**(4480/9)
Simplify (b/b**(2/43))**(1/5) assuming b is positive.
b**(41/215)
Simplify (o/(((o**5/o)/o)/o))**(-3/4) assuming o is positive.
o**(3/4)
Simplify (w**(-2/7)/(w*w**(1/6)))**0 assuming w is positive.
1
Simplify (n*n/n**(-2))/(n*n*n**(-5/12)*n) assuming n is positive.
n**(17/12)
Simplify (d*d**(-1))**33/(d/(d*d*d**(2/3)/d*d)*d*d*d**(-4)*d*d) assuming d is positive.
d**(5/3)
Simplify v**(-2/7)/(v*(v/(v**(3/5)*v))/v)*(v/(v*(v/v**0)/v))**(2/13) assuming v is positive.
v**(11/35)
Simplify ((a*a/a**0)/(a/(a/(a**(6/11)/a))))**(10/7) assuming a is positive.
a**(270/77)
Simplify u/(u*u/u**5)*u*u*(u*u**0)/u*u*(u/u**0*u)**(-3/2) assuming u is positive.
u**4
Simplify (n**7/n**(-5/3))**(-27) assuming n is positive.
n**(-234)
Simplify (t/(t**0*t)*t**(-5))**37 assuming t is positive.
t**(-185)
Simplify (s**(-1/3))**47/(s*s**0*s*s)**(-1/18) assuming s is positive.
s**(-31/2)
Simplify (s*s/(s*s*s/(s/(s/(((s**5/s)/s*s)/s)))*s)*s**(-4/3)/s)/(s**(-6)/(s**3/s)) assuming s is positive.
s**(20/3)
Simplify w**(-3)*w**(1/4)*w*w**(-5)*w/(w/((w/(w/(w/(w**(5/3)*w)))*w)/w)*w) assuming w is positive.
w**(-113/12)
Simplify ((g**(-1/14)/g)/g*g*g**1*g)/(((g/(g/g**(1/7)))/g)/(g/(g/(g/(g/g**(1/13)))))) assuming g is positive.
g**(339/182)
Simplify u**(-2/9)/u**(4/5)*u**0*u*u**(-2/21) assuming u is positive.
u**(-37/315)
Simplify (i/((i**0*i)/i)*i**2*i)/(i**0)**(-19) assuming i is positive.
i**4
Simplify (t**23*t)/(t/(t**(2/55)*t)) assuming t is positive.
t**(1322/55)
Simplify (m**(-1))**(8/7)*(m**(-1/4)*m*m)**31 assuming m is positive.
m**(1487/28)
Simplify q**(-4/13)/(q*((q/((((q/(q*q*q/(q/q**(-1/7))))/q)/q)/q))/q)/q) assuming q is positive.
q**(-379/91)
Simplify (f**(-3/8))**(2/85) assuming f is positive.
f**(-3/340)
Simplify (z**(-8/3)/z**(-2/19))**(-27) assuming z is positive.
z**(1314/19)
Simplify h/(h*h**(-5))*h**6*h*h**(-4/5)*h/((h*h/h**(2/5))/h*h) assuming h is positive.
h**(53/5)
Simplify (m/(m*m*m**(2/15))*m*m/m**(-1/8))/(m/m**(-2/3))**4 assuming m is positive.
m**(-227/40)
Simplify (m/(m/(m**(2/7)/m*m)))**(-45)*m**(3/4)/(m*m/(m**(4/5)*m)) assuming m is positive.
m**(-1723/140)
Simplify (r*r**3)**(-36) assuming r is positive.
r**(-144)
Simplify ((k**(2/5))**(-16/9))**(9/4) assuming k is positive.
k**(-8/5)
Simplify (i*i**(-13/2))/(i/(i/i**(-3/5))*i) assuming i is positive.
i**(-59/10)
Simplify (r**(2/9))**(4/27)*r**(-2/15)*r**(-1/3) assuming r is positive.
r**(-527/1215)
Simplify (g**(-3)/(((g**0/g)/g)/g))/((g**2*g)/g**(-2)) assuming g is positive.
g**(-5)
Simplify (j**(-2/11))**(11/8)*j/((j*j**9)/j)*j**(-1/13)/j assuming j is positive.
j**(-485/52)
Simplify ((w*w*w**6*w)/(w*w/(w*w**(-4)/w*w*w)))/(w*w**(2/5))**33 assuming w is positive.
w**(-206/5)
Simplify r**(2/153)/r**13 assuming r is positive.
r**(-1987/153)
Simplify (x/(x/(x**(-1/2)*x*x*x*x*x*x))*x)**29/(x/(x/x**2))**(1/3) assuming x is positive.
x**(1127/6)
Simplify (t**9)**(-7/9) assuming t is positive.
t**(-7)
Simplify ((k*k**19*k)/k)**(-23) assuming k is positive.
k**(-460)
Simplify (g**(3/4)*g**2)/(g**(2/5)/g**3) assuming g is positive.
g**(107/20)
Simplify (h*h**29)**(4/9) assuming h is positive.
h**(40/3)
Simplify (n**14/n)/(n/(n*n/n**(-3/8))) assuming n is positive.
n**(115/8)
Simplify i**6*i/(i*i/i**(-5/4))*i**(-3/2)*i*i**(-2/3) ass
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 16/11 - g*s - 4/11*s**2 + 2/11*s**3 = 0. What is s?
-2, 2
Let p(d) be the first derivative of -d**6/2 - 33*d**5/5 - 15*d**4/2 + 106*d**3 - 399*d**2/2 + 147*d + 14459. Factor p(l).
-3*(l - 1)**3*(l + 7)**2
Let n(k) = 6*k**2 + 223*k + 49. Let q(t) = 17*t**2 + 891*t + 193. Let f(b) = 9*n(b) - 2*q(b). Factor f(s).
5*(s + 11)*(4*s + 1)
Let b be ((-981 - -990) + 79/(-9))*3. Factor -6*r + b*r**3 - 34/9*r**2 - 14/9.
2*(r - 7)*(r + 1)*(3*r + 1)/9
Factor 41/4*a**3 + 49/4*a - 1 - 43/2*a**2.
(a - 1)**2*(41*a - 4)/4
Let p(r) be the third derivative of -1/12*r**5 + 1/12*r**4 + 1/30*r**6 + 0*r + 29*r**2 - 1/210*r**7 + 0 + 0*r**3. Find z such that p(z) = 0.
0, 1, 2
Let a(h) be the second derivative of -h**5/4 + 80*h**4/3 + 325*h**3/6 + 2*h + 214. Factor a(n).
-5*n*(n - 65)*(n + 1)
Let b(f) be the third derivative of f**6/120 - 17*f**5/60 - f**4/24 + 17*f**3/6 + 11*f**2 + 10. What is u in b(u) = 0?
-1, 1, 17
Let v(j) be the third derivative of j**7/210 + j**6/45 - 23*j**3/3 + 4*j**2 + 2*j. Let a(g) be the first derivative of v(g). Factor a(z).
4*z**2*(z + 2)
Let q = 332 + -471. Let w be (q/(-45) - 3)/((-48)/(-72)). Suppose -4/15*v - 2/15*v**4 + 4/15*v**3 + w*v**2 + 0 = 0. Calculate v.
-1, 0, 1, 2
Let g(h) be the third derivative of -h**7/420 + h**6/180 - h**5/360 - 1657*h**2. What is o in g(o) = 0?
0, 1/3, 1
Let q(m) be the third derivative of 0*m**3 + 1/6*m**4 + 0 + 48*m**2 - 3/10*m**5 + 4/105*m**7 + 0*m + 1/20*m**6. Find h, given that q(h) = 0.
-2, 0, 1/4, 1
Factor 126/5*n**2 + 246/5 - 371/5*n - 1/5*n**3.
-(n - 123)*(n - 2)*(n - 1)/5
Let x(q) be the second derivative of -3/20*q**5 - 212*q + 8*q**3 + 13/4*q**4 + 0 - 42*q**2. Let x(j) = 0. What is j?
-2, 1, 14
Let f(q) be the third derivative of 4/105*q**7 + 0*q**3 + 0*q**4 + 1/15*q**6 - 2*q + 0*q**5 + 9*q**2 + 1/168*q**8 + 0. Factor f(y).
2*y**3*(y + 2)**2
Let k(r) be the first derivative of -54 + 1/2*r**2 + 2/3*r + 1/9*r**3. What is s in k(s) = 0?
-2, -1
Let l(q) be the second derivative of q**4/72 + 145*q**3/18 + 286*q**2/3 + 5449*q. Suppose l(t) = 0. Calculate t.
-286, -4
Let c(g) be the second derivative of -243/2*g**2 + 0 + 67*g + 9*g**3 - 1/4*g**4. Factor c(h).
-3*(h - 9)**2
Determine a so that 25921/9 + 320/9*a**3 + 8426/3*a**2 - 51520/9*a + 1/9*a**4 = 0.
-161, 1
Let h = 1155 - 824. Determine i so that 331*i**2 + h*i**2 - 2 - 660*i**2 - 2*i + 2*i**3 = 0.
-1, 1
Let d = -13626 - -13629. Let i(z) be the third derivative of -1/40*z**6 + 29*z**2 + 0 + 0*z + 5/24*z**4 - z**d + 2/15*z**5. Solve i(k) = 0.
-1, 2/3, 3
Determine p, given that -28/9*p**2 + 2*p + 2/9*p**3 + 72 = 0.
-4, 9
Suppose 30 = 7*d - 54. Let 109*i**4 + 79*i - 5 + 244*i**3 + 102*i**2 - d*i**5 - 6 - 111*i = 0. Calculate i.
-1, -1/4, 1/3, 11
Let n(u) be the first derivative of 88 + 49/5*u**2 - 2401/5*u - 1/15*u**3. Let n(w) = 0. What is w?
49
Let q(x) be the second derivative of x**5/40 + 7*x**4/12 + 4*x**3 + x + 3191. Factor q(a).
a*(a + 6)*(a + 8)/2
Let b(i) = 32*i**4 + 257*i**3 - 743*i**2 - 626*i - 7. Let g(m) = -10*m**4 - 86*m**3 + 248*m**2 + 208*m + 2. Let n(f) = 2*b(f) + 7*g(f). Let n(q) = 0. What is q?
-17, -2/3, 0, 3
Suppose -100*x - 32046*x**3 + 198*x**2 - 2*x**4 + 64013*x**3 - 32063*x**3 = 0. Calculate x.
-50, 0, 1
Let t(a) = -168*a**2 - 5380*a - 126. Let n be t(-32). Let -1/4*l**n + 7/4*l + 15/2 = 0. Calculate l.
-3, 10
Let l(h) be the second derivative of -1/50*h**5 + 3/10*h**4 + 0 - 129*h + 2/3*h**3 + 0*h**2. Let l(k) = 0. Calculate k.
-1, 0, 10
Factor -2824/5 - 2/5*b**2 + 2826/5*b.
-2*(b - 1412)*(b - 1)/5
Let s(m) be the third derivative of 0 + 0*m + 0*m**4 + 33*m**2 - 1/360*m**6 + 0*m**3 - 1/9*m**5. Factor s(z).
-z**2*(z + 20)/3
Let o(a) be the second derivative of a**6/210 + 13*a**5/70 - 19*a**4/28 - 13*a**3/21 + 4*a**2 + 150*a + 2. Find t, given that o(t) = 0.
-28, -1, 1, 2
Let x(v) be the third derivative of -v**7/210 + 17*v**6/60 - 29*v**5/12 + 687*v**2 - 4. Factor x(h).
-h**2*(h - 29)*(h - 5)
Let c(w) be the first derivative of 2*w**3/3 + 61*w**2 - 384*w - 4031. Determine z so that c(z) = 0.
-64, 3
Let y = -24 - -52. Suppose r + 10 + 7 = 4*s, y = s - 5*r. Factor -365 - 670*b**2 - 27*b**4 - 33*b**4 + 91*b**3 - 376*b**s + 5 - 5*b**5 - 780*b.
-5*(b + 2)**3*(b + 3)**2
Solve -9*n**3 - 31*n**3 + 100*n**2 - 945*n**4 + 940*n**4 = 0.
-10, 0, 2
Let t(w) = -101*w**2 - 527*w - 100. Let q be t(-5). Let a = 445/2 - 216. Let a*p**3 - p**2 + 0*p + 0 - q*p**4 + 9/2*p**5 = 0. What is p?
0, 2/9, 1
Let m = 332 - 332. Let y(t) be the second derivative of -1/22*t**4 + 0 + 4/11*t**2 + 16*t + m*t**3 - 1/110*t**5. Suppose y(s) = 0. What is s?
-2, 1
Let a(q) be the first derivative of 5/3*q**3 - 25/2*q**2 + 30*q - 31. Suppose a(m) = 0. Calculate m.
2, 3
Let p be 22372/(-3290) + (-112)/(-15). Factor 14/3*k**4 + 0*k + 10/3*k**2 - 22/3*k**3 + 0 - p*k**5.
-2*k**2*(k - 5)*(k - 1)**2/3
Let j(c) = -c**3 - 23*c**2 - 18*c - 20. Let m be j(-14). Let u = -13750/9 - m. Factor 8/9 + 22/9*z**2 - u*z + 8/9*z**3.
2*(z - 1)*(z + 4)*(4*z - 1)/9
Factor -8/11*p + 2/11*p**3 + 0 + 0*p**2.
2*p*(p - 2)*(p + 2)/11
Factor 226/11*b - 224/11 - 2/11*b**2.
-2*(b - 112)*(b - 1)/11
Solve 14*g**3 + 30*g**2 - 35*g - 5*g**5 + 26*g**3 + 375 - 405 = 0.
-2, -1, 1, 3
Suppose -3*d + 5*a + 43 = 0, 3*d - 2 = -4*a - 4. Suppose 0 = -d*h + 41 - 17. Find w, given that -2*w + 8*w - h*w - 2*w**3 - 8 + 8*w**2 = 0.
-1, 1, 4
Factor 1/2*y**2 + 1605/2*y + 0.
y*(y + 1605)/2
Suppose 79*q - 26 = -5*v + 77*q, 3*q - 18 = 3*v. Let 34/3*i - 8/9*i**v + 26/9 = 0. Calculate i.
-1/4, 13
Let t = -6035 + 6038. Let n(b) be the third derivative of -2/27*b**t - 13*b**2 + 1/180*b**6 + 0*b + 2/135*b**5 + 0 - 1/108*b**4. Suppose n(u) = 0. What is u?
-1, 2/3
Let d = -267306 + 267306. Factor -3/7*r**3 - 3/7*r**4 + 0 + 6/7*r**2 + d*r.
-3*r**2*(r - 1)*(r + 2)/7
Let c(p) be the third derivative of p**8/36 + 68*p**7/315 + 47*p**6/90 + 4*p**5/9 - p**2 + 73*p - 3. Suppose c(o) = 0. Calculate o.
-20/7, -1, 0
Let w(u) be the first derivative of 121*u**6/720 + 11*u**5/20 + 3*u**4/4 - 19*u**3 + 24. Let h(b) be the third derivative of w(b). Factor h(n).
(11*n + 6)**2/2
Let s(a) be the third derivative of 5 + 0*a - 31/156*a**4 + 7/390*a**5 + 4/13*a**3 + 2*a**2. Suppose s(g) = 0. Calculate g.
3/7, 4
Let j = 516 - 514. Let h be (4/12)/(j/12). Solve 26/5*r**h - 12/5 + 18/5*r**4 + 34/5*r - 66/5*r**3 = 0.
-2/3, 1/3, 1, 3
Factor -638991*s**2 - 550 - 55*s**3 + 53*s**3 + 638917*s**2 - 622*s.
-2*(s + 1)*(s + 11)*(s + 25)
Let l(x) = x**3 + 5. Let d(r) = 165*r**3 + 1066*r**2 + 316*r + 4. Let k(q) = -3*d(q) - 12*l(q). Suppose k(z) = 0. Calculate z.
-6, -2/13
Let b(h) = 445*h + 133945. Let f be b(-301). Factor f - 26/17*g + 2/17*g**2.
2*g*(g - 13)/17
Suppose 0 = -12*p + 11*p + 323. Suppose 4*y + 0*y + p = 3*t, -t - y + 96 = 0. Find b such that -t*b - 4*b**2 + 53*b + 48*b + 16 = 0.
-2, 2
Let u = -7 - -10. Suppose 5*h - 10*f = -5*f + 15, -5*h - 5*f = -5. Factor -u*b**2 - h*b**2 - 45 - 8*b + 4*b + 34*b.
-5*(b - 3)**2
Factor -274/3*s - 184 + 1/3*s**2.
(s - 276)*(s + 2)/3
Let y(g) = g**3 - 12*g**2 + 11*g - 3. Suppose -45*i + 40*i + 15 = 0. Let z(w) = -4*w**3 + 60*w**2 - 56*w + 14. Let s(n) = i*z(n) + 14*y(n). Factor s(u).
2*u*(u - 1)*(u + 7)
Let j(y) be the second derivative of y**4/3 + 668*y**3/3 + 1328*y**2 + 4140*y. Let j(v) = 0. Calculate v.
-332, -2
Let w(k) be the first derivative of -k**4/4 + 199*k**3/4 - 11025*k**2/4 - 16875*k/4 - 1649. Factor w(m).
-(m - 75)**2*(4*m + 3)/4
Solve 1/4*j**3 + 12 + 10*j + 11/4*j**2 = 0 for j.
-4, -3
Let x(b) = 1543*b - 1585*b - 3*b**2 + 59 - 204. Let l(j) be the first derivative of -j + 4. Let p(f) = -2*l(f) - x(f). What is y in p(y) = 0?
-7
Let k = 81256 - 568774/7. Suppose -k - 12/7*n**2 + 75/7*n = 0. Calculate n.
1/4, 6
Factor -22*f - 18*f - 2*f - 72 + 64*f + 8*f - 3*f**2.
-3*(f - 6)*(f - 4)
Suppose o + 4*r = -854, -878 = 12*o - 11*o - 4*r. Let h = -834 - o. What is z in -h - 1/2*z**2 + 8*z = 0?
8
Let o(i) be the second derivative of i**4/24 + 10*i**3/3 + 351*i**2/4 + 14142*i. What is w in o(w) = 0?
-27, -13
Let w(g) = 2*g**5 + 7*g**4 - 9*g**3 - 19*g**2 - 3*g + 7. Let o(l) = -l**4 - l**3 + l**2 - l - 1. Let k(v) = -10*o(v) + 2*w(v). Let k(f) = 0. Calculate f.
-6, -1, 1
Let s be (2/4)/((-149)/(-1490)). Let g(z) be the second derivative of 1/110*z**s + 0 + 1/11*z**4 + 4/11*z**3 + 8/11*z**2 + 4*z. Factor
|
{
"pile_set_name": "DM Mathematics"
}
|
20).
0
Let c(j) = j**2 - 6*j + 11. Give c(6).
11
Let n(w) = 24*w + 91. Determine n(-3).
19
Let l(n) = 9*n**2 - 1. What is l(1)?
8
Let s(j) = -j**2 - 7*j - 8. Calculate s(-7).
-8
Let g(p) = -p**3 + 4*p**2 + 13*p - 21. What is g(6)?
-15
Let b(f) = 9*f + 1. Determine b(1).
10
Let h(z) = -2*z**3 - 12*z**2 - 13*z - 7. Calculate h(-5).
8
Let i(x) = 2*x**3 - 2*x**2 - 2*x - 1. Determine i(-2).
-21
Let s(i) = -i**2 - 8*i + 7. Give s(-9).
-2
Let i(m) = m**2 - 15*m - 2. Determine i(14).
-16
Let h(x) = -5*x - 4. What is h(6)?
-34
Let k(a) = -a**3 + 22*a**2 - 20*a - 16. Give k(21).
5
Let a(i) = 23*i**2 + 113*i + 12. What is a(-5)?
22
Let y(s) = -8*s + 86. Calculate y(11).
-2
Let m(u) = -u**2 + 13*u - 53. Calculate m(12).
-41
Let v(l) = -32*l - 18. Determine v(-6).
174
Let v(w) = w**3 + 5*w**2 + 2*w + 12. Calculate v(-5).
2
Let f(m) = -m**3 - m**2 + 3*m - 13. Determine f(-3).
-4
Let r(g) = -g**2 - 2*g. What is r(-4)?
-8
Let s(p) = -5*p + 107. Calculate s(20).
7
Let u(b) = 10*b + 23. What is u(-3)?
-7
Let p(f) = -2*f**2 - 22*f - 14. Determine p(-10).
6
Let b(x) = 3*x**2 + 7*x + 4. Calculate b(-2).
2
Let a(m) = 4*m - 37. Determine a(9).
-1
Let h(g) = -9*g**3 + g - 2. What is h(1)?
-10
Let v(x) = x**2 + 33*x - 201. Determine v(5).
-11
Let x(z) = -z + 5. Give x(8).
-3
Let z(n) = -9*n + 69. Calculate z(9).
-12
Let i(q) = q**3 - q**2 - 47. Calculate i(0).
-47
Let q(h) = h**2 - 9*h - 14. Give q(10).
-4
Let m(w) = -6*w + 2. Calculate m(5).
-28
Let g(h) = 7*h - 47. Give g(5).
-12
Let a(d) = d**3 - 6. Determine a(0).
-6
Let k(b) = 4*b - 45. Calculate k(9).
-9
Let x(i) = 17*i - 82. Calculate x(5).
3
Let y(b) = b**2 + 12*b + 1. Give y(-12).
1
Let t(q) = q**2 + 22*q - 114. Give t(-26).
-10
Let t(h) = h**3 + 4*h**2 + h - 2. Determine t(-3).
4
Let z(q) = -4*q**2 - q + 13. Determine z(2).
-5
Let l(a) = a**3 + 6*a**2 + 12*a + 16. Determine l(-2).
8
Let k(l) = -l**3 + l**2 - l + 8. Calculate k(0).
8
Let w(x) = -x**3 - 15*x**2 + 19*x + 59. Calculate w(-16).
11
Let y(l) = -7*l**2 + l + 4. What is y(-5)?
-176
Let d(g) = -g**2 + 3*g + 62. What is d(-7)?
-8
Let j(r) = 4*r**2 - 2*r. Calculate j(2).
12
Let s(h) = h**2 - h - 159. Calculate s(14).
23
Let k(m) = -7*m - 40. What is k(-6)?
2
Let d(f) = f**2 + 13*f + 24. Determine d(-11).
2
Let v(y) = 2*y**3 + 4*y**2 - y - 3. Determine v(-3).
-18
Let a(y) = 8*y + 42. What is a(-8)?
-22
Let j(c) = c**2 + 5*c - 182. Calculate j(11).
-6
Let d(o) = -2*o - 12. What is d(-4)?
-4
Let n(a) = -a**3 + 32*a**2 - 116*a + 97. Calculate n(28).
-15
Let x(c) = -c**3 + 12*c**2 - 12*c. Calculate x(11).
-11
Let x(f) = -2*f**2 - 10*f - 15. Calculate x(-6).
-27
Let h(t) = t**3 - 2*t**2 - 6*t + 4. What is h(4)?
12
Let k(c) = -6*c - 9. Give k(-4).
15
Let s(n) = 8*n - 7. Calculate s(6).
41
Let k(b) = -16*b - 49. Calculate k(-8).
79
Let s(m) = -m**2 - 29*m + 7. Determine s(-30).
-23
Let b(z) = 3*z - 4. Give b(2).
2
Let q(p) = 4*p**2 + 54*p + 2. Determine q(-14).
30
Let r(h) = -h**3 - 3*h**2 - 3*h + 4. Determine r(-3).
13
Let z(t) = t**3 + 2*t**2 + 3*t + 2. Give z(3).
56
Let o(j) = -29*j**2 + 1. Calculate o(1).
-28
Let k(i) = -i**3 - 3*i**2 + 5*i + 4. Determine k(-4).
0
Let y(r) = -r**3 + 22*r**2 - r + 1. Determine y(22).
-21
Let w(t) = 2*t**3 + 8*t**2 + t - 2. What is w(-3)?
13
Let v(g) = -4*g**2 + 6*g - 9. Calculate v(3).
-27
Let f(k) = 232*k + 473. Determine f(-2).
9
Let y(a) = -54*a**3 - a**2 - a + 2. What is y(1)?
-54
Let i(a) = -a**3 + 21*a**2 + a - 29. Calculate i(21).
-8
Let h(l) = -l**3 + 2*l**2 - 3. Calculate h(0).
-3
Let b(l) = l**3 - 15*l**2 + 13*l + 15. Determine b(14).
1
Let a(n) = -n**3 + 7*n**2 + 11. What is a(7)?
11
Let v(w) = -11*w - 79. Determine v(-6).
-13
Let b(n) = -n - 8. What is b(-7)?
-1
Let y(j) = -j**3 + 13*j**2 - 9*j + 10. What is y(12)?
46
Let t(r) = -r**2 - 5*r + 22. What is t(-7)?
8
Let s(a) = -a**3 + 3*a + 6. Determine s(-2).
8
Let m(c) = -5*c**2 + 2. What is m(1)?
-3
Let s(d) = -d - 1. Give s(-2).
1
Let c(b) = b**3 - b**2 + 3*b + 31. Give c(0).
31
Let i(f) = -10*f + 2. Calculate i(1).
-8
Let w(h) = 6*h - 8. Determine w(-17).
-110
Let y(v) = -v**3 + 22*v**2 - v + 21. What is y(22)?
-1
Let c(h) = -h**3 + 4*h**2 + 17*h + 5. Give c(6).
35
Let p(j) = -58*j - 14. What is p(0)?
-14
Let g(i) = -15*i - 357. Determine g(-24).
3
Let p(x) = -x**2 + 6*x + 10. What is p(9)?
-17
Let x(s) = -s**3 + 6*s**2 + 10*s + 29. Determine x(8).
-19
Let f(p) = p**3 + 67*p**2 + 191*p - 57. Give f(-64).
7
Let g(y) = 14*y**2 + 6*y - 16. Calculate g(2).
52
Let q(w) = -w**3 - 9*w**2 + 5*w + 25. Calculate q(-10).
75
Let u(a) = -3*a - 24. Give u(3).
-33
Let s(u) = u**2 - 14*u + 4. Calculate s(9).
-41
Let b(z) = z - 7. Give b(21).
14
Let v(x) = x**3 + 2*x**2 - 3*x + 4. Give v(-3).
4
Let i(z) = z - 12. Determine i(5).
-7
Let t(h) = -2*h + 33. Calculate t(16).
1
Let u(b) = -6*b - 1. Determine u(6).
-37
Let w(m) = -139*m + 562. Determine w(4).
6
Let i(n) = 2*n**3 + 14*n**2 + 13*n + 2. Give i(-7).
-89
Let y(c) = -22*c - 66. What is y(-3)?
0
Let s(y) = -y**3 + 23*y**2 + 27*y - 67. Determine s(24).
5
Let o(n) = 2*n - 16. Determine o(11).
6
Let i(n) = -2*n + 15. Give i(6).
3
Let l(y) = -y**3 - 10*y**2 - y - 5. Calculate l(-10).
5
Let i(p) = -p**2 - 20*p + 63. What is i(-22)?
19
Let g(d) = 338*d + 1356. What is g(-4)?
4
Let f(w) = 61*w**3 - w**2 - w + 2. What is f(1)?
61
Let h(r) = r**3 + 11*r**2 - 9*r + 4. Give h(-12).
-32
Let v(d) = 2*d**3 - 87*d**2 - 43*d - 40. Calculate v(44).
4
Let b(s) = -6*s**2 + 2*s + 2. Calculate b(-1).
-6
Let h(r) = -r**2 + 7*r - 15. What is h(8)?
-23
Let b(y) = y**3 + 3*y**2 - 16*y - 14. What is b(-6)?
-26
Let b(g) = -2*g**3 - 12*g**2 + 14*g + 9. What is b(-6)?
-75
Let b(f) = f**3 + 25*f**2 - 2*f - 42. Determine b(-25).
8
Let a(p) = -4*p + 11. Give a(-1).
15
Let k(q) = -q**3 + 16*q**2 + 19*q - 66. Determine k(17).
-32
Let h(s) = 4*s**2 + 4*s + 11. Give h(-3).
35
Let m(d) = 3*d**2 + 2*d + 2. What is m(-2)?
10
Let x(c) = 5*c**3 - 3*c**2 + 3*c - 5. Determine x(2).
29
Let a(k) = -2*k - 29. Determine a(-14).
-1
Let t(a) = 2*a + 57. Give t(-30).
-3
Let g(p) = -p**3 - 6*p**2 - 6*p + 8. Give g(-4).
0
Let t(m) = m**3 + 14*m**2 + 2*m + 20. Calculate t(-14).
-8
Let l(p) = p**2 - 24*p + 126. Give l(8).
-2
Let p(f) = -f**3 - 4*f**2 + 15*f + 2. Calculate p(-5).
-48
Let j(m) = -m**2 - 23*m - 135. Give j(-13).
-5
Let b(m) = 4*m - 5. What is b(-4)?
-21
Let x(r) = -59*r - 106. Calculate x(-2).
12
Let b(w) = 14*w - 68. Give b(6).
16
Let f(b) = -2*b**2 + 4*b + 27. Determine f(-3).
-3
Let m(c) = 13*c**2 - 55*c + 7. Give m(4).
-5
Let y(w) = w**3 + 16*w**2 + 2*w + 21. What is y(-16)?
-11
Let x(f) = -22*f**2 - 3*f - 2. Give x(-1).
-21
Let z(f) = f**3 + 5*f**2 + 12*f + 24. Give z(-3).
6
Let n(l) = l**3 - 11*l**2 + 10*l + 14. Give n(10).
14
Let b(y) = -y**3 + y**2 - 11. Give b(0).
-11
Let h(n) = -16*n - 77. Give h(-5).
3
Let n(g) = g**3 + 7*g**2 + g + 3. What is n(-7)?
-4
Let i(h) = -h**3 + 2*h**2 - h + 2. Give i(3).
-10
Let r(s) = s**3 + 2*s**2 + 2*s + 11. Determine r(0).
11
Let f(z) = z**3 - 16*z**2 + 13*z + 25. Determine f(15).
-5
Let u(q) = -q**3 + 14*q**2 - 12*q - 16. What is u(13)?
-3
Let b(q) = 3*q**2 - 30*q - 7. Calculate b(10).
-7
Let j(v) = -16*v**2 + v. What is j(1)?
-15
Let c(k) = -9*k - 23. Determine c(-8).
49
Let v(c) = -c**3 + 37*c**2 + 39*c - 22. Give v(38).
16
Let z(m) = -2*m**2 - 35*m - 9. What is z(-17)?
8
Let c(b) = b**3 + 8*b**2 + 8*b - 4. Give c(-6).
20
Let d(p) = p**3 - 24*p**2 + 6*p + 390. Calculate d(23).
-1
Let w(h) = 2*h**2 + h - 32. What is w(0)?
-32
Let c(y) = -y**3 - 22*y**2 + 72*y - 52. Give c(-25).
23
Let g(f) = -f**2 - 31*f - 122. Give g(-26).
8
Let h(j) = -4*j - 41. Calculate h(-14).
15
Let s(p) = p**3 + 5*p**2 - 10*p + 16. What is s(-7)?
-12
Let c(w) = -2*w**2 - 18*w - 32. Give c(-7).
-4
Let n(y) = 2*y**2 - 4. What is n(2)?
4
Let c(o) = -o**3 + o**2 + 2*o - 76. Give c(0).
-76
Let j(c) = -c**3 - 14*c**2 - 14*c + 12. Determine j(-13).
25
Let m(t) = -t + 35. Determine m(0).
35
Let z(q) = q**2 + 11*q - 10. What is z(-11)?
-10
Let p(j) = -19*j + 115. What is p(6)?
1
Let a(j) = -j**3 - 16*j**2 - 11*j + 2. Determine a(-15).
-58
Let c(i) = -3*i**2 - 4*i - 3. Determine c(-2).
-7
Let q(l) = l**2 - 24*l + 26. What is q(23)?
3
Let y(c) = 57*c + 224. Determine y(-4).
-4
Let r(z) = z**2 - 95. Calculate r(0).
-95
Let t(s) = s**2 - 5*s - 33. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - 5)*(2 - 2 + 2*j**5) - 352*j**5 - 761*j**5 + 63*j**5.
-1058*j**5
Expand (0*w + 3*w - 4*w)*((-w + 11*w + 6*w)*(4 - 2 - 1) - 2*w - 2*w + 5*w + 6*w - 3*w - 2*w) + (4*w**2 + 36*w**2 + 10*w**2)*(-2 + 1 - 2).
-168*w**2
Expand (-6*h + 84*h**2 - 167*h**2 + 86*h**2)*(7*h - 2*h + 5*h + (-4 + 4 + h)*(7 - 1 + 2)).
54*h**3 - 108*h**2
Expand (q - q - 2*q)*(4*q**2 + 0*q**2 - 3*q**2)*(2*q + 0*q + 6*q)*(0 - 4 + 6) + 18*q**4 - 7*q**4 - 6*q**4.
-27*q**4
Expand (0 + 2 - 3)*(0*c - 4*c - 4*c)*(0*c**2 - 2*c**2 + c**2) + (c - c + 2*c)*(-97*c**2 + 247*c - 247*c).
-202*c**3
Expand (0*n**3 - n**3 + 0*n**3)*(-3*n + 3*n - n)*(6*n + 3*n - 3*n)*(-4 + 1 + 4)*(4 - 5 + 2)*(27 - 33 + 14).
48*n**5
Expand (-2 + 0 + 1)*(-2 + 1 + 0)*(-1 + 1 - 1)*(12*b**2 + 8*b**2 + 6*b**2)*((3 + 0 - 4)*(-2*b + 2*b - 2*b) + 2*b - 3*b + 3*b).
-104*b**3
Expand (-a - 1 + 1 + (0 + 3 - 4)*(a - a + a) + 0 + 0 - 2*a + (-2*a - a + 4*a)*(-4 + 3 - 1) - 4 - 9*a + 4)*(-205*a + 204 - 204).
3075*a**2
Expand (-26331*a**2 + 28731 - 28731)*(3*a - 5*a + a)*(-2*a + 1 - 1).
-52662*a**4
Expand (-6*q**2 + 4*q**2 - q**2)*(-2 + 1 - 1) + (2*q - 6*q + 2*q)*(-2*q - 3*q + 0*q - 3*q + 13 - 13 + 0*q + 2*q + 0*q + (3 + 1 - 3)*(2*q + 3*q - 3*q)).
14*q**2
Expand (-58*c**2 - 36*c**2 + 10*c**2)*(-39 - 7*c + 39 + (-1 - 1 + 3)*(1 - 2*c - 1)) - 2*c**2 - 2*c**3 + 2*c**2.
754*c**3
Expand (0 - 3 + 1)*(2*v**2 + 2*v**2 - v**2) + (-108*v + 594 + 594 - 1190)*(-2*v - 2*v + 5*v).
-114*v**2 - 2*v
Expand (p - 2*p + 6*p)*(1 + 3 - 3)*(2 - 8 + 7)*(3 - 2 + 1 + (-3 + 4 + 0)*(-1 - 2 + 16)).
75*p
Expand (4*y**2 + 9 - 9)*(-136 + 205 + 211 + (-2 + 2 + 2)*(-5 + 3 + 3)*(4 - 1 - 2)).
1128*y**2
Expand (228505 + 10*k - 228505 + 2*k**4 - k**2)*((0 + 0 - 1)*(-1 + 1 + 2) - 1 - 1 - 1 - 6 + 2 + 2).
-14*k**4 + 7*k**2 - 70*k
Expand -6995*i**5 + 6997*i**5 + 10 + 9*i**2 + i**3 - 3 + (2*i**3 + 0*i**2 + 0*i**2)*(i**2 - 2*i + 2*i).
4*i**5 + i**3 + 9*i**2 + 7
Expand (-19758*a**3 + 19758*a**3 - 550*a - a**4)*(-7 + 44*a + 7).
-44*a**5 - 24200*a**2
Expand (0 - d + 0)*(-1409 + 650 + 126 - 2250).
2883*d
Expand -6 - 4 + 27 + 3*v + 5*v - 3*v + 4*v + (2*v - 3 + 3)*(1 + 3 - 2).
13*v + 17
Expand (1 - 1 + 2*d)*(-107*d**3 + 39*d**3 - 628*d**3).
-1392*d**4
Expand p**4 + 6*p**4 + 16*p**4 - p**4 + 0*p + 0*p + (-5*p**2 + 0*p**2 + 3*p**2)*(3*p**2 - 2*p**2 - 3*p**2) + p**4 + 1 - 1.
27*p**4
Expand (0*w + 0*w - 2*w)*(1 + 1 - 1) + (0 + 0 - 2*w)*(-174 + 196 - 928).
1810*w
Expand (3*l - 4*l + 2*l + (4 - 3 + 0)*(5*l - l - 2*l) + (-3*l + 0*l + l)*(0 - 3 + 1))*(-5*l**2 + 516452 - 516452 - 447*l**3).
-3129*l**4 - 35*l**3
Expand (2*z - 5*z + 4*z)*(1 + 0 + 1) + 0 - z + 0 + 10*z + 21*z - 11*z + 2 - 4*z + 7*z - 6*z.
18*z + 2
Expand (-66 + 151 - 686)*(-14 + 4*t**4 + 14).
-2404*t**4
Expand (-m - m + m)*(m - 2 + 2) + (-8*m**2 - 23 + 23)*(6 - 2 + 0) + 0*m - 13*m**2 + 0*m.
-46*m**2
Expand (-3 - 1 + 3)*(-3430*o + 1737*o + 2101*o)*(-5 + 5 + 2)*(3 + 0 - 1).
-1632*o
Expand (743*r + 426*r - 272*r)*(-r**2 - 3*r**2 + 2*r**2).
-1794*r**3
Expand (-4*l**2 + 0*l**2 + 3*l**2)*(-9 - 438761*l**3 + 438373*l**3 + 21).
388*l**5 - 12*l**2
Expand ((0*c - c - c)*(0 + 0 + 2*c**2) - 13*c**3 + 38 + c**3 - 34)*(-10 - 5 - 41).
896*c**3 - 224
Expand -5090138*z**3 + 454*z**4 + 2*z**2 + 5090138*z**3 + (0*z + 0*z - z**2)*(2*z**2 - 4*z + 4*z).
452*z**4 + 2*z**2
Expand -27*z**3 - 2*z**3 + 6*z**3 - 67*z**3 + 15*z**3 - 34*z**3 + (3*z - 2*z**2 - 3*z)*(2*z - 2*z - z).
-107*z**3
Expand (17254*y - 135312903 + 135312903)*(4 - 1 - 1)*(3 - 1 - 1)*(1 - 2 + 2).
34508*y
Expand (-9 + 9 + 6*z**3)*(7*z**2 + 1428*z - 1428*z) + (-1 + 1 - 2)*(z**5 - z**5 + z**5).
40*z**5
Expand (r - 3*r + r)*(-2*r + 4*r - 3*r) + 48*r**2 + 94*r**2 - 238*r**2.
-95*r**2
Expand (-4 - 14 - 6 + 1)*(88*h**3 - 215*h + 215*h).
-2024*h**3
Expand (278 + 383 - 218 + (3 - 6 - 2)*(-2 + 3 + 1))*(-d**2 + d**2 - 3*d**2).
-1299*d**2
Expand (94*l - 244*l + 18*l)*((0 - 5 + 3)*(2*l + 2*l - 5*l) + 4*l + 3*l - 6*l + 3*l - l - l - 4*l + l + 4*l + l + 5 - 5)*(2 - 1 + 0)*(4 + 4*l - 4).
-3168*l**3
Expand (23*m**2 + 29*m**2 - 20*m**2)*(149 - 149 + 19*m).
608*m**3
Expand (2*w + 3*w - 3*w)*(6*w**4 - 5*w**4 - 5*w**4) + (18*w - 18*w - 2*w**4)*(5*w - 4*w - 2*w + (-3 + 0 + 1)*(-1 + 1 - w)).
-10*w**5
Expand (g**3 + 6*g**3 + 7*g**3)*(-355*g**2 - 388*g**2 - 89*g**2 - 330*g**2).
-16268*g**5
Expand ((0 + 0 + i)*(-1 + 1 + 2) - i - 2 + 2 + (0 + 0 - 3)*(-i - 2*i - 4*i))*(-14*i - 11*i + 30*i).
110*i**2
Expand 6*y**4 - 3*y**4 - y**4 + (-3 + 5 + 0)*(-2*y + 2*y - 2*y)*(-36*y**3 + 35*y**3 - 73*y**3).
298*y**4
Expand -r**4 - 3*r + 3*r + (-1 + 5 - 3)*(-2*r**4 - 4*r**4 + 5*r**4) - 4*r**4 + 5*r**4 - 2*r**4 + 1487*r**3 - 1487*r**3 + 721*r**4 + 4 - 3*r**4 + 2*r**4 - 1.
717*r**4 + 3
Expand (9*z**3 - 19*z**3 + 8*z**3)*(-z**2 - 2*z**2 + 21 + 2*z**2).
2*z**5 - 42*z**3
Expand (-13*q**3 + 10*q**3 + 2*q + 0*q)*(-2536 - 210*q + 2536).
630*q**4 - 420*q**2
Expand (2 - 2 + 2)*(-q**2 + q**2 + q**2 + (28*q - q + 0*q)*(-253 + 1 - 8)*(4*q + 3*q + 2 - 6*q)).
-14038*q**2 - 28080*q
Expand (l + 8*l + 27*l)*(34 - 80 - 33).
-2844*l
Expand -2*b + 2*b - 2*b + (5 - 5 + 9*b)*(-1 + 0 + 2) + 51*b - 69*b + 31*b.
20*b
Expand (0 + 3 - 5)*(-6*d**3 + 4*d**5 + 6*d**3) + 12*d**4 - 39*d**4 - 6*d**5 - 19*d**4.
-14*d**5 - 46*d**4
Expand (-36 + 75 - 33)*(10 + 27 - 3*g + 18 + 29).
-18*g + 504
Expand (23 - 23 + 27*b)*(-9*b**2 + 7*b**2 - 4*b - 2*b) + 2*b**2 - 2*b**2 - 3*b**3 + (0*b**2 - 2*b**2 + 3*b**2)*(-2*b - b + 2*b).
-58*b**3 - 162*b**2
Expand (3*t**2 - t**2 - 4*t**2)*(-t - 5*t + 4*t)*(-3 + 0 + 0)*(4 - 5 - 3 + (1 + 0 - 3)*(0 + 2 + 0) - 1 + 5 - 2).
72*t**3
Expand (-88 - 289 + 24)*(0 + 0 + o) - 2*o - 2*o + 2*o.
-355*o
Expand (5 - 4*t - 5)*(2*t + 2 - 2)*(3 - 4 - 1) + (2*t - 2 + 2)*(t - 2*t + 0*t) - 22 + 22 - 31*t**2 + (4*t - 4*t + 2*t**2)*(-3 - 2 + 3).
-21*t**2
Expand (-5 + 5 + 5*p)*(-21*p + 26*p + 8*p) - 41 + 41 - 36*p**2.
29*p**2
Expand (-2164*b + 4333*b - 2141*b)*(-13*b + 13*b - 19*b**3).
-532*b**4
Expand (-8 + 9 + 461*h - 400*h)*(2*h**3 + h**3 - h**3).
122*h**4 + 2*h**3
Expand (3 + 3 - 4)*((179 + 130 + 329)*(-j + 3*j + j) - 2*j - j + 2*j).
3826*j
Expand (2*w**2 - 5*w**2 + 2*w**2)*(-2 + w + 2 - 3*w - w + 3*w + (-47*w - 32*w + 5*w)*(3 + 2 - 4)).
74*w**3
Expand 1 - 5*t + 571*t - 24*t**2 - 552*t + 2*t**5 + (0*t**3 - 3*t**3 + t**3)*(2*t**2 + 0*t**2 - 4*t**2) + 0*t**5 + 3*t**5 - 2*t**5.
7*t**5 - 24*t**2 + 14*t + 1
Expand (-2274 + 107*g + 2274)*(1 - 2 + 2) + 18*g - 20*g - 16*g.
89*g
Expand (-614 + 292 - 340)*(h + 0*h + 0*h + (-h + 3*h - h)*(3 - 2 + 0))*(-h**2 + h**2 - 2*h**2).
2648*h**3
Expand (3 - 3 + 6*c**3)*(-2 + 3 - 2) - 39 - 462*c + c**3 + 462*c.
-5*c**3 - 39
Expand -b**3 + b**3 + 2*b**4 + (3 + 2 - 3)*(95 + 26*b**2 - 95)*(-10*b**2 + 29*b**2 + 55*b**2).
3850*b**4
Expand (5*i**3 - i**3 - 6*i**3)*((-3803*i + 7473 - 7473)*(3*i - 3*i + 2*i) + 0*i + 2*i**2 + 0*i).
15208*i**5
Expand (147*m - 18275 + 18275)*(-9 - 30 + 11).
-4116*m
Expand (-5*w - 14*w + 0*w + (3 + 0 - 2)*(w + 4*w - 4*w))*(-784 - w + 3*w + 766 - w**3).
18*w**4 - 36*w**2 + 324*w
Expand -5*r - 21*r + 42*r + 0 - 60*r - 4 + (3*r - r - r)*(-3 - 1 + 3).
-45*r - 4
Expand (142*c**4 - 5*c**4 - 52*c**4)*(5 + 1 - 5) + 7*c**3 - 7*c**3 + c**4.
86*c**4
Expand (-6 + 2 + 2)*(-5*a + 4*a + 0*a) + (-4963 + 1911 + 2061)*(a + 2*a - 6*a).
2975*a
Expand 8*g**2 - 27*g**2 + 11*g**2 + (-2*g - 1 + 1)*(111 - 111 + 15*g) - 3*g - g**2 + 3*g.
-39*g**2
Expand 124*b + 73*b - 51 + 5*b**2 - 195*b + (-2*b + 0*b + b)*(b + b - 4*b).
7*b**2 + 2*b - 51
Expand (-a**4 - a**4 + 4*a**4)*(2998 - 15490 + 26777 + 11939 + 22550 + 16262).
130072*a**4
Expand (5*y + 3 - 3 + (-4 + 3 + 0)*(80*y + 55*y + 10*y))*(-1 + 0 + 0).
140*y
Expand (0*m + 0*m + 2*m)*(-19*m**3 - 8*m**3 - 21*m**3) + 0*m**4 - 40*m**4 + 19*m**4.
-117*m**4
Expand (-2683613 - 4772*b + 2683613)*(b**2 - b**2 - b**4).
4772*b**5
Expand -23*c**2 - 124*c**2 + 15 + 90*c**3 - 14 + 146*c**2 + 3*c**3 - c**3 - 3*c**3 + (3*c**2 + 3*c**2 - 4*c**2)*(c - 3*c + 0*c).
85*c**3 - c**2 + 1
Expand 4*g**2 - 4*g**2 + 5*g**2 + 0*g**2 + 0*g**2 - 5*g**2 + (-3*g + 7*g - 2*g)*(-2*g + 4*g + 5*g).
14*g**2
Expand (-2*k**2 + 7*k**3 - 17*k**3 + 11*k**3 - 15*k)*(149 - 52 - 46).
51*k**3 - 102*k**2 - 765*k
Expand (-9*w + 5 - 5)*(14 + 11 - 4 + (4 - 1 - 1)*(-1 - 3 + 3) + 2 - 3 + 2)*(w + w + 0*w)*(4*w - 4*w - w).
360*w**3
Expand (1 + 2 - 4)*(-561 + 418 + 422)*(2*o**4 - 3*o**4 - 2*o**4).
837*o**4
Expand (-2 + 2*l + 2)*(0*l
|
{
"pile_set_name": "DM Mathematics"
}
|
Simplify (sqrt(288) + (-3 + sqrt(288))**2)*-3.
-891 + 180*sqrt(2)
Simplify 6*(3 + sqrt(19)) + ((sqrt(171)*3)**2 - sqrt(171)).
3*sqrt(19) + 1557
Simplify 1*(-1 + 3*sqrt(176))**2.
-24*sqrt(11) + 1585
Simplify sqrt(26)/sqrt(50)*2.
2*sqrt(13)/5
Simplify (-2*(0 + sqrt(252)))**2.
1008
Simplify (sqrt(304) + 5 - sqrt(190)/sqrt(250)) + 2.
7 + 19*sqrt(19)/5
Simplify (sqrt(12)*2 + 0)*-2.
-8*sqrt(3)
Simplify (1*(sqrt(27) + 2*sqrt(27)))/(-4*sqrt(36)/sqrt(4)).
-3*sqrt(3)/4
Simplify ((sqrt(3) - (sqrt(3) + -3 + 4)) + 0 + -5)**2.
36
Simplify -1*sqrt(38)/sqrt(2)*-5.
5*sqrt(19)
Simplify (sqrt(3024)*-2)/(sqrt(30)/(sqrt(40)/sqrt(4))).
-24*sqrt(7)
Simplify 4 + ((sqrt(38) - (-2*sqrt(190) + sqrt(190) - sqrt(190))/sqrt(5) - sqrt(38))/sqrt(2))**2.
80
Simplify (sqrt(180)/(-2*sqrt(6)))/sqrt(6).
-sqrt(5)/2
Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77) + sqrt(77)))*-6)/((sqrt(84)/sqrt(3))/sqrt(4)))**2.
1859
Simplify 2*((sqrt(26)/(sqrt(8)/sqrt(4)))**2 + sqrt(13)).
2*sqrt(13) + 26
Simplify -3*sqrt(3328).
-48*sqrt(13)
Simplify ((sqrt(143) - 3*sqrt(143))/sqrt(11) - sqrt(13))**2 - sqrt(416)/sqrt(8).
-2*sqrt(13) + 117
Simplify -5 + (4*(sqrt(2) + 0) - sqrt(2)) + sqrt(2) + 1.
-4 + 4*sqrt(2)
Simplify (sqrt(68) + 2 - sqrt(17)) + 3.
sqrt(17) + 5
Simplify (1*sqrt(3)*3 + (sqrt(12) - (sqrt(12) - sqrt(48)/sqrt(4))) + -1)**2.
-10*sqrt(3) + 76
Simplify 2*(sqrt(52) + -3).
-6 + 4*sqrt(13)
Simplify sqrt(117)/(3*sqrt(108)/sqrt(12))*5.
5*sqrt(13)/3
Simplify -6*((sqrt(700)*-2 + sqrt(700))**2 + (sqrt(28) - sqrt(28)*-1) + sqrt(7)).
-4200 - 30*sqrt(7)
Simplify sqrt(133)/((sqrt(35) + sqrt(140)/sqrt(4))/sqrt(5)).
sqrt(19)/2
Simplify (1*sqrt(2) + -2)**2 + 4.
-4*sqrt(2) + 10
Simplify ((sqrt(33)*3 - sqrt(33))*-1)/sqrt(3).
-2*sqrt(11)
Simplify -1 + (sqrt(130) + -3*-3*sqrt(130))/sqrt(10).
-1 + 10*sqrt(13)
Simplify ((-2*sqrt(351))/sqrt(9))/(sqrt(3) - sqrt(36)/sqrt(48)).
-4*sqrt(13)
Simplify 3 + -2*sqrt(19) - (sqrt(1900) + 2 + sqrt(1900) - sqrt(19)).
-21*sqrt(19) + 1
Simplify sqrt(325)*-5 - (sqrt(637) + 2)**2.
-641 - 53*sqrt(13)
Simplify (2*(sqrt(39) + sqrt(156)/sqrt(4)) - sqrt(39))/((sqrt(66)/sqrt(2))/sqrt(11)).
3*sqrt(13)
Simplify sqrt(11) + 2 + 3 + sqrt(11) + (-4*sqrt(176) + sqrt(11))**2 + sqrt(11).
3*sqrt(11) + 2480
Simplify (sqrt(72)*-1 - sqrt(18))/sqrt(6).
-3*sqrt(3)
Simplify 3 + sqrt(20)*-5.
-10*sqrt(5) + 3
Simplify sqrt(20)/sqrt(40) + -5.
-5 + sqrt(2)/2
Simplify -3 + (sqrt(27) + -3*sqrt(27))**2.
105
Simplify -3 + sqrt(70)/sqrt(490).
-3 + sqrt(7)/7
Simplify (2*sqrt(17) + 3)*6.
18 + 12*sqrt(17)
Simplify (sqrt(351)/sqrt(3) + -4 + 4)**2.
117
Simplify (sqrt(7) + 3 + 4)*-2 + 0.
-14 - 2*sqrt(7)
Simplify (3*sqrt(637) - sqrt(637) - sqrt(637)) + 4*sqrt(1872).
55*sqrt(13)
Simplify (sqrt(1700) - (sqrt(1700) + 1)*-5)**2.
600*sqrt(17) + 61225
Simplify ((sqrt(88) - 2*sqrt(88))*-6)/sqrt(8).
6*sqrt(11)
Simplify ((sqrt(425) + -1)*-5)**2 + -3.
-250*sqrt(17) + 10647
Simplify -5 + ((sqrt(10)*3)/sqrt(2))**2.
40
Simplify ((sqrt(448) + sqrt(7))*-6*-1)**2.
20412
Simplify ((sqrt(30)/sqrt(6))**2 + 1)*-2.
-12
Simplify -1 + (sqrt(637) + (1 + sqrt(637) - sqrt(637)) - 5*(sqrt(52) - sqrt(13))**2).
-65 + 7*sqrt(13)
Simplify sqrt(7) + sqrt(7) + sqrt(7) + (sqrt(7) + -2 + 4 - sqrt(7))**2 + -5.
-1 + 3*sqrt(7)
Simplify (-5 + 1*(-4 + (sqrt(44) - sqrt(11)) - sqrt(11)))**2.
81
Simplify (sqrt(168)/(sqrt(32)/sqrt(4)))/(sqrt(7) + sqrt(63)*-5).
-sqrt(3)/14
Simplify -4*(sqrt(28)/sqrt(4))**2*-1.
28
Simplify (sqrt(243)*2)**2 - -6*2*sqrt(3).
12*sqrt(3) + 972
Simplify sqrt(15)/sqrt(80).
sqrt(3)/4
Simplify (sqrt(26)*-2)/sqrt(2) + -3 + 0.
-2*sqrt(13) - 3
Simplify 2 + 2 + (sqrt(3) - sqrt(24)/sqrt(512))**2.
403/64
Simplify (-2*(-5 + sqrt(1900)*-2*6 + sqrt(1900)))**2.
4400*sqrt(19) + 919700
Simplify (-3 + sqrt(192)*2)**2*-4.
-3108 + 384*sqrt(3)
Simplify sqrt(85)/(sqrt(5) + (sqrt(560) - sqrt(35))/sqrt(7)).
sqrt(17)/4
Simplify (sqrt(102) + 4*4*sqrt(102))/(sqrt(6) + sqrt(36)/sqrt(24)).
34*sqrt(17)/3
Simplify (sqrt(5) - (1 + sqrt(5))) + 4 + sqrt(35)/(sqrt(14)/sqrt(2)).
sqrt(5) + 3
Simplify (2*sqrt(56)*-1)/(sqrt(8) + sqrt(16)/sqrt(8)).
-4*sqrt(7)/3
Simplify ((3*sqrt(1100) - sqrt(1100))*2)**2 + sqrt(1100) + -1*(sqrt(1100) - (sqrt(1100)*2)**2).
22000
Simplify sqrt(26)/(sqrt(242) + 2*sqrt(242) + sqrt(242) + sqrt(2)).
sqrt(13)/45
Simplify ((sqrt(77) + -3*sqrt(77))*-6 + sqrt(77) + sqrt(77))/sqrt(7).
14*sqrt(11)
Simplify -3*((sqrt(152) - sqrt(152)*2*2)/(sqrt(8) + (sqrt(96)*2)/sqrt(12)))**2.
-57
Simplify ((-3 + sqrt(108))**2 + sqrt(3))*-2.
-234 + 70*sqrt(3)
Simplify ((sqrt(125) - sqrt(125)*-4)*-5 - sqrt(125))**2 + 5.
84505
Simplify -4 + sqrt(432) + 5 + (1 + sqrt(432) - sqrt(432))**2.
2 + 12*sqrt(3)
Simplify 5*sqrt(36)/(sqrt(12)*-2).
-5*sqrt(3)/2
Simplify (2*sqrt(1100))**2 + -1 + -4.
4395
Simplify -5 + 4*sqrt(176)*-5.
-80*sqrt(11) - 5
Simplify (sqrt(11) - (-1 + sqrt(275) - sqrt(11)) - ((sqrt(11) + -1)**2 + -2)) + (sqrt(1584) + 1 + sqrt(1584) + -1)**2.
-sqrt(11) + 6327
Simplify (sqrt(133) - (2*sqrt(133) + sqrt(133)))/sqrt(7) - sqrt(19) - (sqrt(152)*-3)/sqrt(8).
0
Simplify (4 + 1*(sqrt(5)*-3 + -5))**2.
6*sqrt(5) + 46
Simplify (sqrt(117))**2 + -1 + (sqrt(91)*1 - sqrt(91) - sqrt(91))/sqrt(7) - (sqrt(1872) - (1 + sqrt(1872) + -3))**2.
-sqrt(13) + 112
Simplify (-2*-1*sqrt(44))/(sqrt(36)*5).
2*sqrt(11)/15
Simplify (sqrt(396) + 2)*5.
10 + 30*sqrt(11)
Simplify sqrt(704) + (sqrt(704) - (sqrt(704) + (sqrt(704)*-3*-2)**2 + sqrt(704)) - sqrt(704)).
-25344 - 8*sqrt(11)
Simplify -1*sqrt(28) + sqrt(7) + -4.
-4 - sqrt(7)
Simplify sqrt(15)/(sqrt(5)*-2*3).
-sqrt(3)/6
Simplify 3*sqrt(288) - (sqrt(16)*-2)/sqrt(8).
38*sqrt(2)
Simplify (-2 + sqrt(2057) + -4)**2.
-132*sqrt(17) + 2093
Simplify -3*(0 + sqrt(2) + 0).
-3*sqrt(2)
Simplify ((sqrt(88) - sqrt(88)*1)*4)/(sqrt(8) + (sqrt(8) - (sqrt(8) + -2*(sqrt(24)/sqrt(3) + sqrt(8))))).
0
Simplify ((2*sqrt(520))/sqrt(10))/(sqrt(36)/(sqrt(36)/sqrt(4) + sqrt(9))).
4*sqrt(13)
Simplify 3*(sqrt(1872) - (2*sqrt(1872) - sqrt(1872)))*6*-4.
0
Simplify (sqrt(85) - (sqrt(85) + (sqrt(85) + (sqrt(85) - -5*(sqrt(85)*1 - sqrt(85))) - sqrt(85))))/(1*sqrt(500)).
-sqrt(17)/10
Simplify (-2 + sqrt(275) - sqrt(11)) + (sqrt(33)/sqrt(27) + sqrt(11))**2.
4*sqrt(11) + 158/9
Simplify (sqrt(78)*1*-4 - sqrt(78))/((sqrt(150)/sqrt(5))/sqrt(5)).
-5*sqrt(13)
Simplify 2*(6*(sqrt(320) + 0)*6)**2.
829440
Simplify ((sqrt(136) + sqrt(136) + sqrt(136) + 1*sqrt(136) + sqrt(136) + sqrt(136))*-4)/(sqrt(48)/sqrt(96)).
-96*sqrt(17)
Simplify (5*(sqrt(147) - (sqrt(147) + (2*sqrt(147) - sqrt(147))))*1)**2.
3675
Simplify (5*(sqrt(132) + (sqrt(132) - ((-5*sqrt(132) - sqrt(132) - sqrt(132)) + sqrt(132)))))/sqrt(12) + 1.
1 + 40*sqrt(11)
Simplify (sqrt(66)/(sqrt(6)*4))**2 + -2.
-21/16
Simplify (-1 + sqrt(11) + -5)**2 + -4.
-12*sqrt(11) + 43
Simplify sqrt(55)/(sqrt(11) + 2*sqrt(539)) + -2.
-2 + sqrt(5)/15
Simplify (((sqrt(700) + -1)**2 - sqrt(700)) + 4)*-1.
-705 + 30*sqrt(7)
Simplify 1*(sqrt(396)/sqrt(4) - sqrt(11)).
2*sqrt(11)
Simplify ((sqrt(99)*3 - sqrt(44)*5)*1)**2.
11
Simplify -3 + 2 + sqrt(76)/sqrt(4) + -4.
-5 + sqrt(19)
Simplify sqrt(170)/((2*sqrt(60))/sqrt(6)).
sqrt(17)/2
Simplify (-3 + sqrt(32) + sqrt(4)/sqrt(2) + 5 + 1)**2.
30*sqrt(2) + 59
Simplify ((sqrt(1872) - (sqrt(1872) - ((sqrt(1872)*1 - sqrt(1872)) + sqrt(1872)))) + sqrt(1872))/sqrt(4).
12*sqrt(13)
Simplify 1 + (sqrt(42)*-1*5)/sqrt(6).
-5*sqrt(7) + 1
Simplify (2*(sqrt(70) - -2*sqrt(70)))/(sqrt(10) - sqrt(80)/sqrt(32)).
12*sqrt(7)
Simplify (-2 + -2 + sqrt(19)*-2)**2 + sqrt(152)/(sqrt(8) - (sqrt(8) - -4*-1*sqrt(8)) - sqrt(8)).
49*sqrt(19)/3 + 92
Simplify ((0 + sqrt(320) + -1)**2 + -4)*6.
-96*sqrt(5) + 1902
Simplify (sqrt(45)*-2*1)/(sqrt(9) + sqrt(81)*3 + sqrt(9) + sqrt(9)).
-sqrt(5)/6
Simplify 1*-1*sqrt(5)*2 + -4.
-2*sqrt(5) - 4
Simplify sqrt(76)*1 + 0.
2*sqrt(19)
Simplify (6*(-6*(sqrt(12)/sqrt(4) + sqrt(3)) - sqrt(3)))**2.
18252
Simplify ((sqrt(2) - -4*sqrt(8)/sqrt(4)) + sqrt(2))**2 + sqrt(36)/sqrt(2).
3*sqrt(2) + 72
Simplify (sqrt(77)/(-2*sqrt(11)))**2 - (-2*sqrt(84))/sqrt(12).
7/4 + 2*sqrt(7)
Simplify (sqrt(121) - (sqrt(121) - (2*(sqrt(121) - 1*sqrt(121)) + sqrt(121))))/(sqrt(539)*-1).
-sqrt(11)/7
Simplify sqrt(60)/(sqrt(12) - sqrt(768)) + 0.
-sqrt(5)/7
Simplify (-4 + sqrt(200))**2 + (sqrt(2) - (sqrt(2) - (3*sqrt(2) + -2)**2)).
-92*sqrt(2) + 238
Simplify (sqrt(11) - (sqrt(11) + (sqrt(110) + 1*sqrt(110))/sqrt(10)))
|
{
"pile_set_name": "DM Mathematics"
}
|
c**(3/5)*c**(-3/25) assuming c is positive.
c**(12/25)
Simplify p**(-5)*p**(2/11) assuming p is positive.
p**(-53/11)
Simplify (n/n**(-2))**(2/15)/(n*n*n**(-1))**(-12/11) assuming n is positive.
n**(82/55)
Simplify (y**(2/19))**1 assuming y is positive.
y**(2/19)
Simplify d**(2/3)*d/d**5*d*d*(d/(d/((d*d**1/d)/d)*d*d))**50 assuming d is positive.
d**(-304/3)
Simplify ((l/(l/(l/(l*l/(l/(((l**(1/2)*l)/l*l*l)/l))))))/l*l)**(1/9) assuming l is positive.
l**(-1/6)
Simplify (y**(-8))**(5/12) assuming y is positive.
y**(-10/3)
Simplify (r/(r**(3/7)/r))/r*r**2*(r*r**0)**(-24) assuming r is positive.
r**(-150/7)
Simplify (((y*y**(-2/7)*y)/y)/y)**(-3)/(y/y**(2/7)*y)**(-6) assuming y is positive.
y**(78/7)
Simplify (z*z**(1/3)*z*z**(2/13))**(3/2) assuming z is positive.
z**(97/26)
Simplify (k*k**4)/k*k*k**(-7)*(k*k/k**(2/5))**45 assuming k is positive.
k**70
Simplify c*c**(3/13)*c**(-2/7) assuming c is positive.
c**(86/91)
Simplify p**(-13)*p*p**(22/3)/p assuming p is positive.
p**(-17/3)
Simplify (n**(2/7)/n**(-1/3))**(-17/6) assuming n is positive.
n**(-221/126)
Simplify (q**(-2/5))**7/((q/q**(-5))/(((q*q/(q/(q*q**(-3)/q))*q)/q*q)/q*q)) assuming q is positive.
q**(-49/5)
Simplify (f**1/f)**(-2/39) assuming f is positive.
1
Simplify c**(-23)*c*c**(-15)*c assuming c is positive.
c**(-36)
Simplify l*l*l*l**(-34)/l*l/(l*l*l**10) assuming l is positive.
l**(-43)
Simplify ((r*r**14)/r)/(r/(r/(r/((r*r/(r/(r**8*r))*r)/r)))) assuming r is positive.
r**23
Simplify ((w*(w*w**(-5)*w*w)/w*w*w)/(w/(((w/((w/w**5)/w)*w)/w)/w)*w))**(-20/11) assuming w is positive.
w**(-60/11)
Simplify ((c*c/(c/(c/c**(-2))))**(-3/16))**(-34) assuming c is positive.
c**(51/2)
Simplify (((w/w**0)/w*w)**4)**5 assuming w is positive.
w**20
Simplify v**(-8)*v/(v/(v/(v/(v/(v/(v*(v*v/v**7)/v*v))*v))))*(v*v**0)**41 assuming v is positive.
v**30
Simplify (m**(2/5))**(-7)/(m/(m**(-3/2)*m)*m**(1/6)) assuming m is positive.
m**(-67/15)
Simplify x**(3/5)*x/(x*x**(4/13))*x*x*x assuming x is positive.
x**(214/65)
Simplify y**35/y**(-11) assuming y is positive.
y**46
Simplify (t**12*t)**(-4/29) assuming t is positive.
t**(-52/29)
Simplify ((l*l**0*l)/l)**(-45)*(l*(l*l**(2/3))/l)**(2/75) assuming l is positive.
l**(-2023/45)
Simplify (u*u**(-2/9))**(1/10)/(u**1*u)**(-9/5) assuming u is positive.
u**(331/90)
Simplify t**(-5)*t**(-3/4)*t**(-7)/t*t*t**5 assuming t is positive.
t**(-31/4)
Simplify (j**(-1/7))**(-3/13) assuming j is positive.
j**(3/91)
Simplify y**(1/3)/y**(-2/9)*y/y**4*y*(y/(y*y*y**(-2/7)*y*y))/y assuming y is positive.
y**(-325/63)
Simplify (n**0)**(1/2)*(n**0)**18 assuming n is positive.
1
Simplify ((u/u**(-8/3))/((u/(u*(u*u/((u/(u*u**6))/u))/u))/u))/(u**(-5)/(u/(u*u**(-1/7)))) assuming u is positive.
u**(374/21)
Simplify (w**(5/3))**(2/89) assuming w is positive.
w**(10/267)
Simplify h*h**(-2/21)*h**(3/5) assuming h is positive.
h**(158/105)
Simplify ((g*(g*g*g**(-1/2))/g*g)/g)**(-50)/((g/(g**3/g))/g**(-4/7)) assuming g is positive.
g**(-522/7)
Simplify (c/c**(1/3)*c)/c*c*c**3*(c**(-2/5)*c)/c**(-2/11) assuming c is positive.
c**(899/165)
Simplify y**(-31)*y/(y*y**(13/2)*y) assuming y is positive.
y**(-77/2)
Simplify (s*s**(-2))**(8/11)/(s**(1/2)/s)**(9/11) assuming s is positive.
s**(-7/22)
Simplify g**(-23)*g**27 assuming g is positive.
g**4
Simplify (n/n**(-8))/n**(3/8) assuming n is positive.
n**(69/8)
Simplify (q*q**(-18)*q)/(q**7*q) assuming q is positive.
q**(-24)
Simplify (k**5*k)/((k*k/(k*k*k**(-3/20)*k))/k*k) assuming k is positive.
k**(137/20)
Simplify ((g**(-2))**(7/6))**(-2/45) assuming g is positive.
g**(14/135)
Simplify (b**(-1/4))**(-30) assuming b is positive.
b**(15/2)
Simplify (c/c**(-1/5))**(-45)/(c**(-2))**(-3/50) assuming c is positive.
c**(-1353/25)
Simplify v**(-3/10)/(v/v**3)*(v**1/v)/v*v/(v**(-4)*v) assuming v is positive.
v**(47/10)
Simplify ((h**(-2/5)/h)/h*h**(-6/11)*h)/(h**(1/8)*h*h/(h**(-2/11)*h)) assuming h is positive.
h**(-1431/440)
Simplify (t/(t/t**(1/4)))/t**(-2/19)*t*t/(t*t/t**7)*t*t**8*t assuming t is positive.
t**(1319/76)
Simplify (n/n**(2/37))/n*n*n/((n**(-3/8)*n)/n*n) assuming n is positive.
n**(391/296)
Simplify ((n*n**(-1/2))/n**(-8))**(-13) assuming n is positive.
n**(-221/2)
Simplify (v*(v/(v/v**10))/v)**(2/87) assuming v is positive.
v**(20/87)
Simplify p**7/(p/(p*(p*p/(p/(p**(2/9)/p))*p)/p))*(p*p**(-2/5))**(-22) assuming p is positive.
p**(-269/45)
Simplify (p**(2/3))**(-48)/(p**1)**(-2/17) assuming p is positive.
p**(-542/17)
Simplify ((z**0/z)/z)**(7/3) assuming z is positive.
z**(-14/3)
Simplify ((x*x**(-2))/x**(2/17))/(x/(x/(x*(x*x*(x**1/x)/x)/x)))**(-14/5) assuming x is positive.
x**(143/85)
Simplify n**(-1/12)/(n/(n/((n/n**(6/7)*n)/n))*n*n*n*n) assuming n is positive.
n**(-355/84)
Simplify (b**7/b)/b*b**(-8)/b*b*(b*(b/((b**(2/5)/b)/b))/b)/b*b*((b**4/b)/b)/b*b assuming b is positive.
b**(8/5)
Simplify (a*a**(-2/7))**(5/4)*a**5/a*a*a**(-1/5) assuming a is positive.
a**(797/140)
Simplify r/(r**(-10)/r)*r**13 assuming r is positive.
r**25
Simplify (a**(1/6)/(a*a/(a*a**(1/17)/a)))**(-2/99) assuming a is positive.
a**(181/5049)
Simplify (d/d**(-1/4))**(-29) assuming d is positive.
d**(-145/4)
Simplify (f*f**(-1)*f)**41 assuming f is positive.
f**41
Simplify (y/(y/(y**(2/7)*y)))**(3/7)/(y**(-5/3)/(y*y**(2/7))) assuming y is positive.
y**(515/147)
Simplify (z/z**9)**(-1/2) assuming z is positive.
z**4
Simplify (s**7)**46 assuming s is positive.
s**322
Simplify (f/f**(2/53))**13 assuming f is positive.
f**(663/53)
Simplify ((a*a**(-27))/a)/(a/a**(-2/17)) assuming a is positive.
a**(-478/17)
Simplify (z**(-2)*z**(-1))**5 assuming z is positive.
z**(-15)
Simplify (v*v/(v/v**29))**(17/4) assuming v is positive.
v**(255/2)
Simplify ((x/(x/(x/(x*x/x**(1/4)*x))))/x**(-3))/((x*x**0)/x*x*(x*x*x/x**3)/x) assuming x is positive.
x**(5/4)
Simplify (c**6*c*c)/(c**5/c)*((c/((c/(c/c**(-1/2)))/c))/c)**43 assuming c is positive.
c**(137/2)
Simplify x/x**(3/8)*x**(2/121) assuming x is positive.
x**(621/968)
Simplify y/(y/(y/(y*y*y**(-30))))*y/y**(2/17) assuming y is positive.
y**(508/17)
Simplify ((m*m/(m*m**(-31))*m*m*m)/m)/(m**15*m*m) assuming m is positive.
m**17
Simplify a**5*a*a**(1/15) assuming a is positive.
a**(91/15)
Simplify (g*g/(g/(g/(g*g**(-1/2)))))**12/((g/g**(1/2)*g)/g**(-1/3)) assuming g is positive.
g**(97/6)
Simplify h**17*h*h/(h/h**(1/13)) assuming h is positive.
h**(235/13)
Simplify (k**(-1)/k)**47*(k/((k*k**(1/4))/k))/(k*k/(k*k**(4/3))) assuming k is positive.
k**(-1115/12)
Simplify (g*g**12)/g**(1/18) assuming g is positive.
g**(233/18)
Simplify b*b**11*b/((b/(b/(b/b**3)))/b) assuming b is positive.
b**16
Simplify ((u*u**(-12)*u)/u)/(u**10/u) assuming u is positive.
u**(-20)
Simplify ((z/(z**(-4)/z)*z)/(z/(z/(z/z**4))))**(-1/41) assuming z is positive.
z**(-10/41)
Simplify (g**(-22)/(g*g**(-1/25)))**25 assuming g is positive.
g**(-574)
Simplify ((u**18/u)/u**(-18/7))**44 assuming u is positive.
u**(6028/7)
Simplify ((k**5/k)/((k/k**(-3)*k)/k))**(-39) assuming k is positive.
1
Simplify (m**(2/15))**(-43/5) assuming m is positive.
m**(-86/75)
Simplify x**(-22/3)*x/x**(-2/7) assuming x is positive.
x**(-127/21)
Simplify (w*w*w**(-2/9)*w)**(-36)*w**(4/9)/(w/w**(2/5)) assuming w is positive.
w**(-4507/45)
Simplify (j**(-2)*j*j*j**(-1)*j)/(((j/j**(-4))/j)/(j/(j*j/j**(-1/7)))) assuming j is positive.
j**(-36/7)
Simplify (c**(-2/5))**(-3/5)/(c**(1/3))**(-22) assuming c is positive.
c**(568/75)
Simplify (a**(1/2))**(-12/5)/(a*a*a**(-1/3)*a*a*a**(1/5)/a) assuming a is positive.
a**(-61/15)
Simplify (t**(2/7))**(-1/11)/((t*t/(t/(t*t/t**(-1/5))))/((((t**(-2/23)/t*t)/t)/t)/t)) assuming t is positive.
t**(-55901/8855)
Simplify ((g**(-8)/g)/g**(-2/11))/((g*g/g**(-2/7)*g*g)/g)**(2/61) assuming g is positive.
g**(-41925/4697)
Simplify (y**(-2/17)*y*y**(-8))**(-6) assuming y is positive.
y**(726/17)
Simplify (k**6*k*k*k)/k*k*k**22/k*k*k assuming k is positive.
k**32
Simplify ((w**1)**(-4/31))**(-5) assuming w is positive.
w**(20/31)
Simplify (w**(-16/9)*w*w)/w*w*w/((w*w**2/w)/w) assuming w is positive.
w**(2/9)
Simplify (h/((h/(h*(h/h**(2/23))/h))/h*h)*h/(h**(3/10)/h))/(((h/(h/h**(-2/21))*h)/h)/h*(h**(-4/5)/h)/h*h*h) assuming h is positive.
h**(4355/966)
Simplify o**(-9)/(((o/(o*o**(-15)))/o)/o) assuming o is positive.
o**(-22)
Simplify ((c**6)**(2/19
|
{
"pile_set_name": "DM Mathematics"
}
|
fy -3 + sqrt(13) + (1 + sqrt(13)*-2 + sqrt(13))**2 + (sqrt(208) + -1 + 3)**2.
15*sqrt(13) + 223
Simplify (4*(sqrt(88) - (sqrt(88) - -2*sqrt(88))) - sqrt(88))/(sqrt(8) - sqrt(512)*-4).
-3*sqrt(11)/11
Simplify -4*(sqrt(3) + ((sqrt(3) - (sqrt(6)/sqrt(50))**2) + sqrt(3) - sqrt(3))) - (sqrt(54)/sqrt(2)*-2)/sqrt(9).
-6*sqrt(3) + 12/25
Simplify ((sqrt(1584) - (sqrt(1584) - (sqrt(1584)*5 - sqrt(1584))))*4 - -4*5*sqrt(891))**2.
1522224
Simplify ((sqrt(1053) - ((-4*sqrt(1053) + sqrt(1053))*5 - sqrt(1053)))*2 - (sqrt(1053) + 0 + 1 - (sqrt(1053) - -1*sqrt(1053)*4 - sqrt(1053))))**2.
-666*sqrt(13) + 1441558
Simplify 2*(-1*sqrt(66)*3)/(sqrt(486) + sqrt(486)*-2 + sqrt(486) + sqrt(486)).
-2*sqrt(11)/3
Simplify 2*(sqrt(114) - (sqrt(114) + sqrt(114)*-3)*6 - sqrt(114))/(sqrt(6) + 3*sqrt(6)*3)*-3.
-36*sqrt(19)/5
Simplify (1*(-1 + ((sqrt(60) + sqrt(180)/sqrt(3))/sqrt(4) + sqrt(15))/((sqrt(5) - sqrt(45)/(sqrt(9) + sqrt(36)/sqrt(4)) - sqrt(5)) + sqrt(5))))**2.
-12*sqrt(3) + 109
Simplify -3 + (sqrt(1700) + (sqrt(1700)*-2 + 4)**2 - sqrt(1700)) + 5*(-1*sqrt(1700) - sqrt(1700)).
-260*sqrt(17) + 6813
Simplify ((sqrt(3500) - (sqrt(3500) + (sqrt(3500) - sqrt(3500)*2*-1))) + sqrt(3500))/((sqrt(660)/(sqrt(11) + sqrt(11)*-2))/sqrt(12)).
20*sqrt(7)
Simplify ((3 + (sqrt(500)*-2*-4 - sqrt(500)) + 1)*5)**2.
14000*sqrt(5) + 612900
Simplify 5*(sqrt(72)/sqrt(16))/(1*sqrt(9)*3)*-3.
-5*sqrt(2)/2
Simplify ((1 + ((sqrt(30) - -1*sqrt(30))*6)/sqrt(10))*-5)**2.
600*sqrt(3) + 10825
Simplify ((sqrt(95) + 3*2*sqrt(95) + sqrt(95) + -1*sqrt(95)*2)/((sqrt(1210)*-3)/sqrt(2)))**2.
76/121
Simplify -5*(sqrt(704)*-1)/(sqrt(48)/sqrt(108))*-5.
-300*sqrt(11)
Simplify (-2*((sqrt(156) - (sqrt(156) - (-1*sqrt(156) + sqrt(156))))*-1 - sqrt(156)))/(sqrt(72)/(sqrt(54)*-2 + sqrt(6))).
-10*sqrt(13)
Simplify (sqrt(66)/(sqrt(6) + 1*sqrt(6)*5 + sqrt(6) + sqrt(6)) + sqrt(132)/(sqrt(12) + 4*sqrt(588) + sqrt(12)))**2.
3971/14400
Simplify sqrt(21)/sqrt(3) + 4 - sqrt(14)/sqrt(2)*-4 - (sqrt(7) + -2 + 0 + (sqrt(7) - (1*sqrt(7) + -5)**2)).
-7*sqrt(7) + 38
Simplify (-3 + -5*(sqrt(5) + -2)*4 + -3)*-3.
-102 + 60*sqrt(5)
Simplify 1*((-2*(sqrt(1100) + -2 + sqrt(1100)))**2 + -4).
-320*sqrt(11) + 17612
Simplify sqrt(88)/(3*sqrt(392)) + sqrt(132)/(sqrt(300)*1 + sqrt(300) + sqrt(300) - sqrt(12)).
5*sqrt(11)/42
Simplify ((sqrt(8) + sqrt(24)/(-1*sqrt(3)))/sqrt(4))**2 - (-3 + sqrt(18) + sqrt(2) + -3*sqrt(18))**2.
-59 - 30*sqrt(2)
Simplify -2 + ((sqrt(2448) + -2 + 3 + sqrt(2448))*-5)**2*-2.
-489652 - 2400*sqrt(17)
Simplify -4*sqrt(352)/sqrt(8) + -3 + sqrt(11)*3*-5.
-23*sqrt(11) - 3
Simplify 2*6*((-1*sqrt(24)/sqrt(2))/((sqrt(120)/sqrt(4))/sqrt(5)))**2*1.
24
Simplify (sqrt(208) + -1 + sqrt(208) + -4)**2*-2 - ((2 + sqrt(208) + 0 + sqrt(208))**2 + (sqrt(208) + 1 + sqrt(208) + sqrt(208) - sqrt(208))*2).
-2552 + 112*sqrt(13)
Simplify 6*(-4*(-2 + sqrt(605))*4)**2*2.
-135168*sqrt(5) + 1870848
Simplify 0 + ((sqrt(52) + 1)*-2 - (sqrt(208) + 5)**2) + -2.
-237 - 44*sqrt(13)
Simplify 6*((sqrt(1700) + 2 + 2 - sqrt(1700)) + -2 + 4).
36
Simplify ((sqrt(2057) + sqrt(2057)*-2*-5)**2 - sqrt(2057)) + (sqrt(2057) + (-1 + sqrt(2057) + sqrt(2057))**2)*1 + 0.
-44*sqrt(17) + 257126
Simplify (-3*(-5*sqrt(1100)*2 + 0 + -2*sqrt(1100) - (2 + (sqrt(1100) - (sqrt(1100) + (-1 + sqrt(1100) - sqrt(1100)) + sqrt(1100) + 2)))))**2.
1980*sqrt(11) + 1197909
Simplify (sqrt(2736)*2 + -2)**2 + sqrt(2736) - ((sqrt(2736) - (2 + -1 + sqrt(2736)))**2 - sqrt(2736)).
-72*sqrt(19) + 10947
Simplify (4*sqrt(135)/sqrt(3)*6)/(-5*(sqrt(324) + (sqrt(324)*-2 + sqrt(324) - sqrt(324) - sqrt(324)) + sqrt(324))).
4*sqrt(5)/5
Simplify ((2 + sqrt(1088))*5 + 3 + -3)*3*5.
150 + 600*sqrt(17)
Simplify (5 + sqrt(891)*-2*-3 + sqrt(891) + sqrt(891)*-2*1 + sqrt(891))**2.
540*sqrt(11) + 32101
Simplify 5*((5*sqrt(1100) + sqrt(11))*4)**2*5.
11444400
Simplify (-5*3*sqrt(117))/((sqrt(360)/sqrt(8) + sqrt(45))/sqrt(5)).
-15*sqrt(13)/2
Simplify 2 + (sqrt(76)/((sqrt(484) + sqrt(484)*3 - sqrt(484)) + sqrt(484) + sqrt(484)))**2*-3.
5993/3025
Simplify ((sqrt(180)*-2)/sqrt(12))/sqrt(5) + 5 + (sqrt(45)/sqrt(3))/sqrt(5).
-sqrt(3) + 5
Simplify 2*((sqrt(98) + sqrt(98)*-5 + 3 - sqrt(98))*-5*6)**2.
-378000*sqrt(2) + 4426200
Simplify -2 + 2 + -4 + -4 + sqrt(475).
-8 + 5*sqrt(19)
Simplify -3 + (-1*(4 + 1 + sqrt(7)) - 4*sqrt(448)*2)**2.
650*sqrt(7) + 29597
Simplify (-5 + (sqrt(17) + 0 - sqrt(17)) + 0 - (-1 + sqrt(833) - (sqrt(272) + sqrt(272) + 1 + sqrt(272))))**2*6.
-180*sqrt(17) + 2604
Simplify ((3 + sqrt(1377) + 5 + 5 + -5)*3)**2.
1296*sqrt(17) + 12969
Simplify ((sqrt(90)/sqrt(2))/sqrt(9) + -5 + ((sqrt(720) + -2)*-1 - sqrt(720))**2)*4.
-380*sqrt(5) + 11516
Simplify (-5 + (sqrt(300) + 2)*6 + -1*sqrt(300)*1)**2.
700*sqrt(3) + 7549
Simplify ((-1 + -4 + (sqrt(1053) + sqrt(1053) + (0 + sqrt(1053) - sqrt(1053)))*6)*1)**2.
-1080*sqrt(13) + 151657
Simplify ((0 + sqrt(112))*-4 + 1 + sqrt(252) + -5)*2 + 3.
-20*sqrt(7) - 5
Simplify (sqrt(3) - (sqrt(48) + -5) - (sqrt(3) + -1)*-4) + 0 + ((-1*sqrt(192))**2 - sqrt(192)).
-7*sqrt(3) + 193
Simplify (sqrt(475) - (sqrt(475) + sqrt(475)*2 + 2)**2) + (2 + sqrt(171) + sqrt(19) + sqrt(19) + 1*sqrt(19) + 3)**2 + -1.
-3571 + 5*sqrt(19)
Simplify (sqrt(171) - (sqrt(171) + 4*sqrt(171)*1))/(sqrt(360)/sqrt(10)).
-2*sqrt(19)
Simplify ((2*sqrt(85)*-1)/(3*(sqrt(5) + sqrt(5) + sqrt(80)))*-5 + 3)**2.
10*sqrt(17)/3 + 1154/81
Simplify 5 + ((-1*(sqrt(204)*2)/sqrt(12))**2 - (5*(sqrt(425) + 0) + sqrt(425))**2) + 1.
-15226
Simplify (sqrt(24)/(-6*2*sqrt(12)))**2 + 3 - 4*(5*5*(sqrt(8)/sqrt(4) - sqrt(2)))**2.
217/72
Simplify -2 + sqrt(34)/sqrt(2) - (sqrt(425)*-1)**2 - (-5*(sqrt(17) - (sqrt(17) + 0) - sqrt(17)) + sqrt(34)/sqrt(2) + 2)**2.
-1043 - 23*sqrt(17)
Simplify ((sqrt(405)*-2 - sqrt(405)) + -5 + 2*(sqrt(45) + 0))**2.
210*sqrt(5) + 2230
Simplify -4*(-2 + sqrt(187)/sqrt(176) + -5 + sqrt(153) + sqrt(51)/sqrt(48)).
-14*sqrt(17) + 28
Simplify (sqrt(76) + sqrt(76)*2*5 - sqrt(76))/sqrt(4) + (4 + (sqrt(19) - 1*sqrt(19)*-4))**2.
50*sqrt(19) + 491
Simplify (sqrt(384) + sqrt(384) + 3*sqrt(384)*2 + sqrt(384))/(sqrt(60)/(sqrt(10)/sqrt(2))).
36*sqrt(2)
Simplify 0 + (5*(-1 + sqrt(1008))*6 - (4*1*sqrt(1008) + sqrt(1008))*-4)**2.
-36000*sqrt(7) + 2520900
Simplify -4 + (-4 + sqrt(117) + 1 + -5 - 2*((sqrt(117) + 0)*-3)**2).
-2118 + 3*sqrt(13)
Simplify (-1 + sqrt(405) + -5)**2 - sqrt(30)/(sqrt(18)/(sqrt(3)*2)).
-110*sqrt(5) + 441
Simplify ((-2*sqrt(6)/sqrt(2))**2 + sqrt(3) - sqrt(30)/(sqrt(10)*-2 + sqrt(10))) + sqrt(24)/(sqrt(1400)/sqrt(7)).
11*sqrt(3)/5 + 12
Simplify ((sqrt(3) + 0)**2 + 2 - ((-2 + sqrt(3))**2 + 3)) + -4.
-9 + 4*sqrt(3)
Simplify ((sqrt(189)*2 - sqrt(21))*3)/(sqrt(49)/(sqrt(21)/sqrt(3)) - (sqrt(7) - sqrt(448)*2)).
15*sqrt(3)/16
Simplify 1 + sqrt(300) - sqrt(3) - (sqrt(3) + 1)*-2 - (sqrt(18)*-2)/sqrt(6)*3.
3 + 17*sqrt(3)
Simplify sqrt(14)/((-1*sqrt(6))/sqrt(3)) + (2 + 1*sqrt(847))**2.
43*sqrt(7) + 851
Simplify -1*(6*(sqrt(684)*-3 + sqrt(684) - sqrt(684))**2 + (-1*sqrt(171))**2*-4).
-36252
Simplify 0 + (5*(-2*sqrt(3) + 3) + (sqrt(27) - (sqrt(81) - -2*sqrt(81))/sqrt(3))/sqrt(9))**2.
-360*sqrt(3) + 657
Simplify 2*((sqrt(330) + (1*sqrt(330) - sqrt(330)))/sqrt(6))/(sqrt(60)/(sqrt(24)/sqrt(2))) + 4.
4 + 2*sqrt(11)
Simplify (sqrt(140)/sqrt(4)*3)/(-4*sqrt(500) + sqrt(5)).
-sqrt(7)/13
Simplify (1*(sqrt(121) - (sqrt(121) + (sqrt(121)*3 - sqrt(121))) - sqrt(121))*-4)/(sqrt(264)/(3*sqrt(6))).
18*sqrt(11)
Simplify (-1*(-1*sqrt(190) - sqrt(190)) + sqrt(190) + -6*(sqrt(190) - sqrt(190)*1))/(sqrt(10) - 1*sqrt(10)*-5 - sqrt(20)/sqrt(2)*-4).
3*sqrt(19)/10
Simplify (sqrt(44)/sqrt(275))/(sqrt(200) + sqrt(200)*-4) + 1.
-sqrt(2)/150 + 1
Simplify -4*((sqrt(98) - sqrt(98)*4) + 5 + (sqrt(98) + (sqrt(98) - (sqrt(98) + 2 - sqrt(98)))*1 + sqrt(98))**2).
-3564 + 420*sqrt(2)
Simplify (sqrt(648)*-3 + sqrt(8))**2 + (sqrt(200) - (sqrt(200) + 2 + sqrt(200) + 3)**2).
-190*sqrt(2) + 4583
Simplify (2 + 2*(sqrt(20) + 2) + sqrt(2420) + 2 + 2)**2.
520*sqrt(5) + 3480
Simplify ((sqrt(52)*-1 - (sqrt(65)*-2)/sqrt(5))*5)**2 + ((-2*sqrt(91) + sqrt(91))*4)/(-1*sqrt(63)).
4*sqrt(13)/3
Simplify ((sqrt(343) + -1*sqrt(343))*-4 - (sqrt(343) + sqrt(343) + 1 + 0 - sqrt(343))**2)*-6 + -4.
84*sqrt(7) + 2060
Simplify (1*sqrt(7260))/(sqrt(1728)*-1 - sqrt(1728))*-6.
11*sqrt(5)/4
Simplify (3*(-2 + sqrt(55)/((sqrt(240)/sqrt(4))/sqrt(12)))*5)**2*-6.
-20250 + 5400*sqrt(1
|
{
"pile_set_name": "DM Mathematics"
}
|
0.
-1, 0, 1
Let m be 69/2*4/3. Let y be (-4)/14 + m/14. Factor y*o + 4*o**2 - 6*o**2 - o.
-2*o*(o - 1)
Let x be (4/7)/((-52)/28 - -2). Factor -2/9*b + 0 + 2/9*b**3 - 2/9*b**x + 2/9*b**2.
-2*b*(b - 1)**2*(b + 1)/9
Let h(f) be the second derivative of 0*f**2 + 1/36*f**4 - 4*f + 0*f**3 + 0. Factor h(g).
g**2/3
Suppose 2 = 2*z + 8. Let w(k) = -2*k**2 + 4*k + 10. Let c(i) = -2*i**2 + 3*i + 11. Let t(y) = z*w(y) + 2*c(y). What is h in t(h) = 0?
-1, 4
Let y(c) be the second derivative of c**8/3360 + c**7/560 + c**6/240 + c**5/240 + c**3/6 + c. Let q(z) be the second derivative of y(z). Factor q(h).
h*(h + 1)**3/2
Let g(z) be the first derivative of 2*z**5/5 + z**4/4 - 2*z**3/3 - z**2/2 - 6. Factor g(j).
j*(j - 1)*(j + 1)*(2*j + 1)
Factor -27 + 36*a + 3/4*a**3 - 39/4*a**2.
3*(a - 6)**2*(a - 1)/4
Let i be 1/(-3) - (-143)/195. Let g(f) be the first derivative of 0*f**3 + i*f**5 + 0*f**4 + 0*f + 1 + 1/3*f**6 + 0*f**2. Factor g(x).
2*x**4*(x + 1)
Let f(p) = p**2 - p. Let b be f(0). Let k = -38 - -40. Find x, given that -8/5 + b*x + 6/5*x**k + 2/5*x**3 = 0.
-2, 1
Let w(q) = q**4 - 29*q**3 - 31*q**2 + 25*q + 26. Let f(j) = 30*j**3 + 30*j**2 - 25*j - 25. Let r(n) = 4*f(n) + 5*w(n). Factor r(b).
5*(b - 6)*(b - 1)*(b + 1)**2
Let t(u) be the first derivative of u**7/5460 - u**6/2340 - u**5/390 - u**3/3 + 7. Let n(k) be the third derivative of t(k). Suppose n(o) = 0. What is o?
-1, 0, 2
Let i(u) be the third derivative of -u**6/30 + u**4/2 - 4*u**3/3 + 8*u**2. Factor i(k).
-4*(k - 1)**2*(k + 2)
Suppose 0 = 4*d - d + 111. Let n = 113/3 + d. Find t such that 2*t**2 + 2*t + 2/3 + n*t**3 = 0.
-1
Let r(l) = -l**5 + 2*l**3 + 3*l**2 - 4*l - 3. Let g = -7 - -9. Let y(t) = -t**2 + t + 1. Let z(o) = g*r(o) + 6*y(o). Factor z(b).
-2*b*(b - 1)**2*(b + 1)**2
Factor -3/2*q**2 - 3/2*q**5 + 3/2*q**3 + 3/2*q**4 + 0 + 0*q.
-3*q**2*(q - 1)**2*(q + 1)/2
Let q be ((-10)/(-7) - (-24)/42) + 0. Factor -1/8*a**q - 1/8*a + 1/4.
-(a - 1)*(a + 2)/8
Suppose 5*r = -4*j, -3*r - 17 = -5. Let h(f) be the first derivative of 0*f**3 - 3/5*f**j + 0*f**4 + 0*f - 1/2*f**6 + 2 + 0*f**2. Solve h(t) = 0.
-1, 0
Let c(w) be the second derivative of -3*w**4/4 - 10*w**3/3 - 2*w**2 + 3*w. Determine i so that c(i) = 0.
-2, -2/9
What is l in -23/4*l + 5*l**2 + 3/2 = 0?
2/5, 3/4
Let o be 6*1*(0 + (-5)/(-10)). What is p in -1/3*p**o + 2/3 + 0*p**2 + p = 0?
-1, 2
Let f(g) be the first derivative of -g**6/105 + g**5/70 - 3*g - 2. Let u(a) be the first derivative of f(a). Find b such that u(b) = 0.
0, 1
Let a = -2 - -4. Let u(j) = j**3 + 4*j**2 - j - 4. Let i(p) = -p**2 + 1. Let b(q) = -q + 2. Let l be b(1). Let m(v) = a*i(v) + l*u(v). Solve m(x) = 0 for x.
-2, -1, 1
Let g = 4033 - 1451879/360. Let o(u) be the third derivative of g*u**6 + 1/9*u**3 - 1/72*u**4 - u**2 + 0 - 1/90*u**5 + 0*u. Factor o(k).
(k - 2)*(k - 1)*(k + 1)/3
Let o(y) = y**4 + y**3 - y**2 + y. Let v(w) = 9*w**4 + 11*w**3 - 7*w**2 + w - 2. Let p(l) = 6*o(l) - v(l). Factor p(r).
-(r - 1)*(r + 1)**2*(3*r + 2)
Suppose -3*f = -w - 0*w - 8, -f = 5*w - 8. Determine q, given that 2*q**4 + 3*q**4 - 3*q**4 - q**f - 2*q + 3*q**3 - 2*q**2 = 0.
-1, 0, 1
Let k(g) be the third derivative of g**8/1512 - g**7/315 - g**6/270 + g**5/45 + g**4/108 - g**3/9 + 8*g**2. What is f in k(f) = 0?
-1, 1, 3
Let o = 62 + -123/2. Let b(i) be the first derivative of o*i**4 - i**2 - 2 + 4/3*i - 4/9*i**3. Factor b(q).
2*(q - 1)*(q + 1)*(3*q - 2)/3
Let k(n) be the second derivative of -n**6/1440 + n**4/96 - n**3/6 + 2*n. Let o(b) be the second derivative of k(b). Factor o(i).
-(i - 1)*(i + 1)/4
Let m(y) be the second derivative of -y**5/60 + y**2 - 3*y. Let g(v) be the first derivative of m(v). Factor g(a).
-a**2
Let y(j) be the first derivative of 1/210*j**5 - j**2 + 1 + 1/84*j**4 + 0*j**3 + 0*j. Let w(k) be the second derivative of y(k). Determine m so that w(m) = 0.
-1, 0
Let c(m) be the first derivative of -m**5/90 - m**4/18 + 4*m**2 + 6. Let y(d) be the second derivative of c(d). Factor y(a).
-2*a*(a + 2)/3
Let u = -17 + 17. Factor c**4 + u*c**3 + 0*c**3 + 4*c**5 - 4*c**3 + 3*c**4 - 4*c**2.
4*c**2*(c - 1)*(c + 1)**2
Let h(n) be the second derivative of 8*n**7/7 - 124*n**6/45 - 53*n**5/20 + 181*n**4/36 - 8*n**3/3 + 2*n**2/3 + 23*n. Suppose h(j) = 0. Calculate j.
-1, 2/9, 1/4, 2
Let s(m) = -36*m**3 + 45*m**2 + 15*m - 66. Let n(c) = -7*c**3 + 9*c**2 + 3*c - 13. Let p(a) = -21*n(a) + 4*s(a). Factor p(f).
3*(f - 3)*(f - 1)*(f + 1)
Let m be 0 + (3/(-3) - -2). Suppose -2*j - 5*j**2 - j - m + 4*j**2 - 1 = 0. What is j?
-2, -1
Let f be ((-2)/21)/(11/(-33)). Let p(x) be the first derivative of -f*x + 2/7*x**2 - 2/21*x**3 - 1. Find t such that p(t) = 0.
1
Let p = 15 - 12. Factor 0*d**5 + 3*d**2 + 9*d**4 + 0*d**4 + 9*d**p + 0*d**5 + 3*d**5.
3*d**2*(d + 1)**3
Let r(n) = 4*n + 32. Let y be r(-8). Let v(i) be the first derivative of -1/3*i**3 - 5/8*i**4 + y*i + 2 + 0*i**2 - 2/5*i**5 - 1/12*i**6. Factor v(j).
-j**2*(j + 1)**2*(j + 2)/2
Let a(y) be the second derivative of -1/45*y**5 - 2*y + 1/54*y**4 + 0 - 1/9*y**2 + 2/27*y**3. Factor a(v).
-2*(v - 1)*(v + 1)*(2*v - 1)/9
Let j be (-4)/(-3)*(480/66 + -7). Factor -j*r - 10/11*r**2 + 6/11.
-2*(r + 1)*(5*r - 3)/11
Suppose -3*l + 13 = -2. What is f in -4*f**3 + 3*f**3 + l*f - f**3 - 3*f = 0?
-1, 0, 1
Let u = -10 - -8. Let b be (9/(-6) - 0)*u. Suppose 3 + 12*v**2 + 2*v**b + 4*v + 7*v**3 - 3 = 0. Calculate v.
-2/3, 0
Let d = -4/89 + 222/979. Determine y so that 162/11 + 216/11*y + 108/11*y**2 + d*y**4 + 24/11*y**3 = 0.
-3
Suppose -19 = 5*y - 54. What is c in y*c**5 - 71/4*c**4 + 0 - 19/4*c**2 + 1/2*c + 15*c**3 = 0?
0, 1/4, 2/7, 1
Let v be -1 - (2 + -1) - -5. Let w(x) = x**3 - 2*x**2 - x - 4. Let s be w(v). Suppose -2*c + 2*c**2 + s*c**3 - 4*c**4 + 5*c**4 - 3*c**4 = 0. What is c?
-1, 0, 1
Let k(c) be the first derivative of c**6/1080 + c**5/360 - c**4/36 + 2*c**3/3 - 2. Let l(w) be the third derivative of k(w). Let l(g) = 0. Calculate g.
-2, 1
Let a(j) be the second derivative of j**7/420 + j**6/120 - j**4/24 - j**3/12 + j**2 + 3*j. Let m(o) be the first derivative of a(o). Factor m(h).
(h - 1)*(h + 1)**3/2
Suppose g**4 + 1/4*g**5 - 3*g**2 - 1/2*g**3 + 0 + 9/4*g = 0. What is g?
-3, 0, 1
Let v(m) be the first derivative of 3*m**5/25 + 3*m**4/10 - 3*m**2/5 - 3*m/5 + 3. Solve v(q) = 0 for q.
-1, 1
Let z(k) = k. Let c be z(-2). Let n = 0 - c. Solve -2*o**2 + 2*o + 2*o**4 - n*o**3 + 0*o**3 + 0*o**3 = 0.
-1, 0, 1
Let 0 + 0*w - 6/5*w**4 - 6/5*w**3 - 2/5*w**2 - 2/5*w**5 = 0. Calculate w.
-1, 0
Let y = -31 - -22. Let o be (1 + y)*(2 + -3). What is a in 2*a**3 + o*a**4 - 4*a**4 - 6*a**2 - 6*a**2 - 14*a - 4 = 0?
-1, -1/2, 2
Let d = -144 + 2161/15. Let s(r) be the second derivative of -3/50*r**5 + r + 2/15*r**4 + 0 - 2/5*r**2 + d*r**3. Factor s(y).
-2*(y - 1)**2*(3*y + 2)/5
Suppose 0*w = -5*k - 3*w - 4, w = -3. Suppose j - q + 2 = 0, -k + 3 = -5*j + q. Factor 1/4*n**3 - 1/4*n**2 + j - 1/4*n**5 + 0*n + 1/4*n**4.
-n**2*(n - 1)**2*(n + 1)/4
Determine o, given that 0 - 2*o**5 + 4/7*o**3 + 10/7*o**4 + 0*o**2 + 0*o = 0.
-2/7, 0, 1
Suppose 6*j - 3*j - s = 17, -5*j = 3*s - 19. Let o = j + -3. Solve -8*g**4 - 1 - 2*g**5 + 1 - 8*g**o - 12*g**3 + 2*g - 4*g = 0.
-1, 0
Let 3 - 95*y + 92*y + 13*y**2 - 3 - 4*y**3 = 0. What is y?
0, 1/4, 3
Let y(d) be the third derivative of 32*d**6/75 + 16*d**5/15 + 17*d**4/30 + 2*d**3/15 - 3*d**2. Factor y(u).
4*(u + 1)*(8*u + 1)**2/5
Let w(r) = -r**3 + 5*r**2 + 2*r - 6. Let z be w(5). Suppose 2*j + z*a - 20 = 0, -j + 4*a - 16 = -2. Factor 0*q - 2/11*q**3 + 0 - 2/11*q**j.
-2*q**2*(q + 1)/11
Let i(l) be the second derivative of l**8/960 + 5*l**7/756 + l**6/180 - l**5/45 + l**4/3 + 2*l. Let b(p) be the third derivative of i(p). Factor b(h).
(h + 2)*(3*h + 2)*(7*h - 2)/3
Let b(y) = y**3 + 6*y**2 + 9*y + 2. Let x be b(-2). Factor -1/4*j + 1/4*j**5 + 0*j**3 + x - 1/2*j**2 + 1/2*j**4.
j*(j - 1)*(j + 1)**3/4
Let s(w) be the second derivative of 3*w**4/4 - w**3/2 - 3*w**2 + 16*w. Factor s(m).
3*(m - 1)*(3*m + 2)
Suppose 12 - 3 = 3*r. Find h, given that 0*h**3 + h**5 + h - 3 + 3 - 2*h**r = 0.
-1, 0, 1
Factor -2/9*n**2 - 2/9*n + 4/9.
-2*(n - 1)*(n + 2)/9
Let u(k) = 4*k + 4. Let f(g) = -g - 1. Let m(s) = -5*f(s) - u(s). Let l be m(1). Let 8/7*b + 0 + 8/7*b**l + 2/7*b**3 = 0. Calculate b.
-2, 0
Let b = 3211/15 + -214. Let t(p) be the first derivativ
|
{
"pile_set_name": "DM Mathematics"
}
|
erivative of -n**6/360 + 3*n**5/40 - n**4/4 + n**2. Let x(t) be the second derivative of b(t). Determine x(6).
-3
Suppose 0 = 2*s + 89 - 93. Let v(q) be the third derivative of 1/2*q**3 + 0 - q**s + 0*q + 1/6*q**4. Calculate v(-2).
-5
Let y(r) = -22*r**3 + 10*r - 8. Let b(z) = 10*z**3 - 4*z + 3. Let u(o) = -5*b(o) - 2*y(o). What is u(1)?
-5
Let l = -6 - -8. Let d(t) = 0*t**l - 77*t + t**2 + 69*t - 4. What is d(9)?
5
Suppose 4*m - 140 = -4*w, -3*m - 3*w + 8*w = -73. Let n(z) = m + 20 - 47 - z**2. Suppose 3*b = 4*o, -2*o - 5*b + 23 = -o. Calculate n(o).
-5
Let s(h) be the second derivative of -h**5/20 - h**4/4 + 2*h**3/3 - 5*h**2/2 - 284*h. Calculate s(-5).
25
Suppose 0*i = 3*i. Let v(m) be the second derivative of -1/6*m**3 + 0 + m**2 + 23*m. What is v(i)?
2
Let o(y) = 36*y - 2*y**2 - 1 - 8*y**3 - 2*y**3 + 33*y - 67*y. Give o(1).
-11
Let s(i) = 27*i**3 + 2*i**2 - 1. Let a be s(1). Let q(b) = 26*b + 1 - a*b - 3. Calculate q(2).
-6
Let a(i) = 2*i**3 - i**2 - 2*i - 3. Suppose 6*t = 17 - 29. Give a(t).
-19
Let i(t) = -14*t**2 - t - 1. Let v be (24/(-18))/(3/(-9)). Let g(b) = b**3 - 3*b**2 - 6*b + 7. Let k be g(v). What is i(k)?
-14
Let t(w) = -w**2 - 6*w - 7. Let z(m) be the third derivative of -m**5/60 + m**3/2 - m**2. Let p be z(-3). Determine t(p).
-7
Let o = -3 - 5. Let c(g) = -g**2 - 8*g + 1. Let k be c(o). Let s(b) be the first derivative of b**4 + b**2/2 + 67. Determine s(k).
5
Let f(c) = c**2 + 12*c + 13. Let d(m) be the third derivative of m**5/12 + 61*m**4/24 + 11*m**3 + 2*m**2. Let y(a) = -2*d(a) + 11*f(a). Give y(-8).
-5
Let t(m) = 2 - 1 - 2. Let s(a) = a + 3. Suppose z + 5 = 2. Let q(x) = z*s(x) - 8*t(x). Give q(5).
-16
Let i(w) = 37 - w - 21 - 20. Give i(9).
-13
Let y = 963 - 949. Let j(l) = -l**3 + 14*l**2 - l + 11. Give j(y).
-3
Let v(h) = h**2 - 7*h + 5. Suppose -2*b + 14 = 2*m, 3*m = -b + 5*b - 35. Suppose 5*j - b - 12 = 0. Give v(j).
-7
Let y(h) = h**3 + 2*h**2 - 5*h - 4. Let n be (-5)/(-4) + 54/72. Suppose 5*v + 0 + 12 = 3*i, v + 5 = -n*i. Determine y(v).
2
Let r(y) = 4*y**2 - 2*y - 1. Suppose 64 = 17*z + 30. Give r(z).
11
Suppose 3*x - 11 = -o, -5*o + 2*o = 3*x - 21. Let k(m) = m. Let a = -25 + 24. Let d(g) = -g**2 + 5*g - 2. Let h(p) = a*d(p) - k(p). Calculate h(o).
-3
Suppose -j = -4*j + 2*l - 88, 2*j + 76 = -3*l. Let z = j - -34. Suppose 4*u + z = -6. Let o(r) = 3*r - 2. Give o(u).
-8
Let r(b) = -5*b**2 - 5*b - 4. Let g = -1275 + 1273. Calculate r(g).
-14
Let l(r) = -r**2 + 13*r - 13. Let g(j) = -2*j**3 + 43*j**2 + 24*j - 34. Let k be g(22). Calculate l(k).
17
Let f(p) = p**2 - 9*p - 38*p**2 + 36*p**2. Determine f(-8).
8
Let z(u) = -23*u**3 + 25 - 22 + 22*u**3 - 7*u**2 + 3*u. Give z(-7).
-18
Let n be -1 - ((-38)/14 + 12/(-42)). Let z(l) = 41*l - 85*l + l**n + 43*l + 2. Let i = 1 + -1. Calculate z(i).
2
Suppose -4*a + 35 = u + 1, -a + 4*u = 0. Let v(o) = o**3 - 7*o**2 - 7*o + 10. Determine v(a).
18
Let c = 338 + -333. Let u(x) = -2*x + 6. What is u(c)?
-4
Let n(o) = -3*o + 2. Let j be (2 + -5)*(-30)/9. Let z be (-38)/(-14) + j/35. Suppose z*c + 21 = -3*l, -5*c + 3*c - 3*l = 18. Determine n(c).
11
Let k(b) = b**3 - 4*b**2 - b + 1. Let x = -28 - -31. Calculate k(x).
-11
Suppose -3*l = -15*l + 96. Suppose -l = -16*g - 24. Let p(s) = s**2 - s - 1. Calculate p(g).
1
Let t(n) = -16 + 8 - 40*n + 7. Give t(1).
-41
Let s(j) be the first derivative of -5*j**2/2 - 3*j - 94. Determine s(-4).
17
Let h(a) = 8*a + 50. Let b be h(-6). Let c(t) = -4*t**2 + 3*t - 2. Give c(b).
-12
Let k(c) = 0*c - c**2 - 2648 + 2650 + 6*c + 0*c. What is k(9)?
-25
Let y(x) = -x**3 - 6. Let v = -9 + -4. Let o be -4 + 2 + (v - 4). Let q = 19 + o. What is y(q)?
-6
Let b be -9*2*(-6)/36. Let p(i) = -2*i**2 - 5*i + 4. Determine p(b).
-29
Let l(o) be the second derivative of -o**4/12 + 7*o**3/3 - 11*o**2 - 22*o. Let u be l(12). Let m(h) = 7*h + 1. Calculate m(u).
15
Let q be (-8 - -7)/((-1)/3). Let y(z) = q*z + 3*z + 7 - 7*z. Let b(c) = -1. Let o(m) = -6*b(m) - y(m). Give o(-5).
-6
Let v(b) = -b**2 + 7*b + 17. Suppose -343*k - 117 = -356*k. Give v(k).
-1
Let m(f) = f**2 - 10*f - 14. Let x be m(11). Let n be (0 - -1) + x + 4. Let s(u) = u**2 - u - 1. Calculate s(n).
1
Let n(g) = -3*g - 5. Let d(l) = -8*l - 267. Let r be d(-32). What is n(r)?
28
Suppose 32 = 4*a - 2*a. Let d(h) = -h - a + 34 - 21 + 4*h. Let u(n) = -2*n - 1. Let r be u(1). Determine d(r).
-12
Let r(b) = -2*b**2 - 4*b - 2. Let s be r(-2). Let t be 12/s*(-8 + 9). Let a(z) = -11. Let x(w) = -w + 56. Let q(i) = 11*a(i) + 2*x(i). What is q(t)?
3
Suppose -r - 6 = -2*r. Suppose 4*z - 4 = -3*t + 1, 3*z + 3*t = r. Let n(v) = 10*v**2 - 68 + 69 - v**2. Give n(z).
10
Suppose -s - 1 = -2, x = 2*s - 7. Let o(a) = -a - 26. Calculate o(x).
-21
Let f(c) be the first derivative of c**3/3 - c - 2. Let r = -21 + 37. Let a = -17 + r. Determine f(a).
0
Let z(g) be the third derivative of 11*g**5/60 - 5*g**4/6 - 7*g**3/2 - 20*g**2. Let n(i) = -4*i**2 + 7*i + 7. Let l(d) = -8*n(d) - 3*z(d). Give l(7).
-14
Let m(h) = h**3 + 4*h**2 + 3*h + 1. Let a be m(-2). Let k = -20 + 23. Let d(y) = -y**3 + 3*y**2 + 0*y**k + y - 2*y - 21 + 23. Give d(a).
-1
Let m(h) be the second derivative of -h**5/20 + h**4/2 - 7*h**3/6 + 11*h**2/2 + 29*h. Let k be m(5). Let f(x) = -12*x. Determine f(k).
-12
Let v = 19 - 12. Let y(s) = -4*s**2 - s**3 - s**3 - 2 + v*s**2 + s. Suppose 3*a - 9*a + 5*t + 32 = 0, 2*t + 8 = 0. Determine y(a).
-4
Let b be 1/2*(7 - 232/8). Let k(u) = -u**3 - 10*u**2 + 8*u - 12. Give k(b).
21
Let w(i) = i**3 - 1. Let u be w(0). Let k(x) = -11*x**2 - x**3 + 9*x**2 - x**3 + 4*x**2 + 2*x + 1. What is k(u)?
3
Let d(q) = -27*q + 212. Let w be d(8). Let o(z) = z**3 + 4*z**2 + 3*z + 6. Give o(w).
-6
Let v(s) = -4853*s**2 - 4*s - s**3 + 4866*s**2 - 6 - 7*s. Calculate v(12).
6
Let w(k) = -k**3 - 5*k**2 + 5*k - 6. Let z be 2*(-1 + 2) - 3. Let a be z*(-1 + -1) + 4. Suppose -o = -2*o - a. Give w(o).
0
Let j(q) = 6*q - 41. Let f be j(8). Let x(r) = -r + 0 + 8 + 1 - f. Give x(8).
-6
Let k(q) = q**3 + 8*q**2 - 10*q. Suppose -39 = 4*j + w, -2*j - 33 = -2*w + 7*w. Determine k(j).
9
Let k(v) be the second derivative of 3*v**5/20 + v**4/12 + v**3/6 + v**2/2 - 14*v. Let x be k(-1). Let n(y) = y**2 + y**2 - y**2 + 2*y. What is n(x)?
0
Let d be 14/28*(-3 - 1) - -4. Let g(h) = -3*h**2 + 5*h - 4. Let a be g(d). Let p(k) = -2*k + 5. What is p(a)?
17
Let p be (9/(-6))/(15/20). Let h be (1/p)/((-4)/48). Let y(n) = 7*n + 1. Let s(x) = x. Let j(w) = h*s(w) - y(w). Calculate j(-3).
2
Suppose 0 = 2*o + 2*o. Let r(m) = m - 2 + 1 + o*m + 2. Calculate r(5).
6
Suppose -u = -2 - 3. Let a(d) = -d**3 + 6*d**2 - 6*d - 2. Let o be a(u). Let w(k) = 3*k + 8. Determine w(o).
-13
Suppose -2*k - k + 12 = 0. Let n be (0/1 - 1)*-7. Let s(q) = 4*q - 17. Let b(o) = 2*o - 9. Let g(f) = n*b(f) - 4*s(f). Give g(k).
-3
Let o(z) = -z**3 - 10*z**2 - 29*z - 1. Let x(u) = -u**3 - 11*u**2 - 26*u - 1. Let n(s) = 4*o(s) - 5*x(s). Give n(-14).
1
Let p(q) = -q**3 - 7*q**2 + q + 20. Let j(u) = -3*u**3 - 20*u**2 + 4*u + 59. Let z(h) = -3*j(h) + 8*p(h). Give z(-4).
-1
Let l(q) = 2*q**2 + q. Suppose 3*y + 19 = -4*x, 135*y = 139*y + 20. Give l(x).
1
Let a(d) be the first derivative of -11*d**2/2 - 1. Suppose k = -k. Suppose u - 1 + 0 = k. Calculate a(u).
-11
Let l(v) = -v - 2*v + 21 - 16 + 6*v. Let d(w) be the first derivative of 5*w**2 + 16*w + 1. Let n(g) = 2*d(g) - 7*l(g). Calculate n(0).
-3
Suppose 0 = -h + 2*b - 3*b + 5, 0 = h + 3*b + 5. Suppose -5*z - 115 = h. Let m = z + 19. Let w(j) = j**3 + 6*j**2 + 6. Calculate w(m).
6
Let u(k) = -k - 1. Let r(s) = s - 5. Let w be r(4). Let v(q) = -4*q - 12. Let y(p) = 2*p**2 - 9*p + 10. Let a be y(4). Let o(n) = a*u(n) + w*v(n). Give o(4).
-2
Suppose -4*v = -0*v - 12. Suppose 6*r = v*r + 6. Let y(k) = -3*k**2 + 0*k**r + k**3 + 6 - 8. Give y(3).
-2
Let c(q) = -17*q**2 + 34*q + 3. Let o(g) = -12*g**2 + 23*g + 2. Let l(k) = 5*c(k) - 7*o(k). Give l(10).
-9
Suppose -16*o - 34 = 3*u - 15*o, -2*o - 24 = 2*u. Let p(f) = 2*f**2 + 21*f - 18. Give p(u).
-7
Let h(z) = 10 - 4 + 9 - 11*z + z**2. Let t be h(11). Suppose u - 5*d + 2 = -1, -2*d = -5*u - t. Let c(m) = -2*m + 3. Give c(u).
9
Let a(j) = j**3. Let u be ((42/(-7))/(-6))/((-1)/11). Let p be (-20)/u + (-12)/(-66). Determine a(p).
8
Let f(h) = -h**3 + h**2 - h. Let b(o) = o**2 + 3*o - 3. Let u(t) = -b(t) -
|
{
"pile_set_name": "DM Mathematics"
}
|
*j**2*s - 357*j**2 + s wrt j?
-6*a**3*s - 5120*s - 714
What is the third derivative of 12129512*l*s**4 + 732562*l*s**2 - 3*s**2 wrt s?
291108288*l*s
Find the first derivative of 2*a**2*j**2 - 52454*a**2 - 371143*a*j**2 + a*j - 20*a + j wrt j.
4*a**2*j - 742286*a*j + a + 1
What is the third derivative of 238758*w**3*y**3 - 74*w**3*y**2 + 55*w**2*y**2 - 3*w**2*y + 2*w*y**3 + w*y**2 - y**2 wrt y?
1432548*w**3 + 12*w
Find the third derivative of -257*v**4 - 189648*v**3 - 749081311*v**2 wrt v.
-6168*v - 1137888
What is the second derivative of -9785*j**4 - 751*j**3 - 14449703*j?
-117420*j**2 - 4506*j
What is the second derivative of 6299501*h**3 - 201946506*h wrt h?
37797006*h
What is the second derivative of 1153339249*z**3 - 648410807*z wrt z?
6920035494*z
What is the third derivative of 845576440*c**3*k + 278*c**2 - 180*c*k + 2*c + 31*k - 3 wrt c?
5073458640*k
What is the second derivative of -39135*j**2*y**2 + j**2*y - 25*j**2 + 76*j*y**4 + 236*j*y + 29*j + 5 wrt y?
-78270*j**2 + 912*j*y**2
What is the second derivative of 50898976*b**4 + 2*b**2 - 562355310*b?
610787712*b**2 + 4
Find the second derivative of -31335*q**4 - 11222*q**3 - 6098814*q + 27.
-376020*q**2 - 67332*q
What is the second derivative of 238424*d**5 + 47*d**2 - 6208808*d wrt d?
4768480*d**3 + 94
Find the first derivative of -79230811*z**2 - 464379137 wrt z.
-158461622*z
Differentiate 2*j**3*y - 64727971*j**3 - 4865948*j**2*y**2 with respect to y.
2*j**3 - 9731896*j**2*y
Differentiate 4447015*o - 1209284 with respect to o.
4447015
Differentiate 195036835*n - 107877282 wrt n.
195036835
Find the second derivative of -80696*q**2*v**2*y**2 + 521*q**2*y**2 - q**2*y - 51*q*v + 391*v**2*y + v*y + 59*y wrt y.
-161392*q**2*v**2 + 1042*q**2
What is the second derivative of 3*x**4 + 86*x**3 + 10505*x**2 + 2895422*x + 2?
36*x**2 + 516*x + 21010
Differentiate -13*d*h*v**2 - 760050*d*h - 2430*h*v**2 + 6*h + 3*v**2 - 2*v + 3 wrt d.
-13*h*v**2 - 760050*h
What is the first derivative of -68191733*t**2 + 107383883 wrt t?
-136383466*t
What is the first derivative of -22*l**3 + 610774*l**2 - l - 172119487?
-66*l**2 + 1221548*l - 1
What is the third derivative of -24698140*c**5 - 2*c**2 - c + 65822?
-1481888400*c**2
Find the third derivative of 11243757*q**3*y - 465*q**2*y + 4780*q**2 wrt q.
67462542*y
Find the third derivative of 2629883*l**5 + 10*l**4 + l**2 + l + 16382188 wrt l.
157792980*l**2 + 240*l
What is the third derivative of -186244783*n**3*s**2 + 2*n**3*s - 9*n**2*s**2 - 7*n**2*s - 14*n*s**2 - 62042*n wrt n?
-1117468698*s**2 + 12*s
Find the first derivative of -19953*l**2*s + 38*l**2 - 5*l*s - 2*l + s + 5973114 wrt l.
-39906*l*s + 76*l - 5*s - 2
What is the first derivative of -1863*n**2 - 96538*n + 816631652 wrt n?
-3726*n - 96538
Differentiate 2297288*n**3 - 2979728.
6891864*n**2
What is the third derivative of n**5 + 42105238*n**4 + n**3 + 5*n**2 - 14289*n + 5?
60*n**2 + 1010525712*n + 6
Differentiate -13856*z**3 + 4*z**2 + 50*z + 915314.
-41568*z**2 + 8*z + 50
Find the second derivative of -6387688*j**3 + 4591587*j.
-38326128*j
What is the derivative of -4693*f**4 - f**2 - 46*f + 4273251 wrt f?
-18772*f**3 - 2*f - 46
What is the second derivative of 61480*p**4 - 97675618*p?
737760*p**2
What is the third derivative of -d**2*o**3 + 3369813*d**2 - 1029*d*o**3 + 14*d*o**2 + 10472*o**3 wrt o?
-6*d**2 - 6174*d + 62832
Find the first derivative of 5*k**3 - 10*k**2 - 2727*k + 38501954.
15*k**2 - 20*k - 2727
Find the second derivative of 7314003*c**2 + 11521494*c.
14628006
Find the first derivative of -41*j**2*y - j**2 + 327*j*y**2 + 6*j + 2*y**2 + 89208036 wrt j.
-82*j*y - 2*j + 327*y**2 + 6
Differentiate -1476*c*l**3 + 52*c*l*q + 1284*l**3*q - 990*q with respect to c.
-1476*l**3 + 52*l*q
Find the second derivative of -26582345*c**2 + 85652722*c wrt c.
-53164690
Differentiate -7999217*j**2 + 2*j + 138506509 wrt j.
-15998434*j + 2
Find the second derivative of -13343*m**3*o - m**3 + 9*m**2 + 73*m*o - 19*m - o - 120 wrt m.
-80058*m*o - 6*m + 18
Find the second derivative of 24864095*l**2 + 91346181*l wrt l.
49728190
Find the third derivative of -56893*i**3*x**3 + 143862*i**3*x**2 - 1500*i*x**3 + 4*i*x**2 - 5*i*x wrt x.
-341358*i**3 - 9000*i
Find the second derivative of 192*d**2*y**3 + 146870*d**2*y - d*y**3 + 15*d*y**2 - 1145*d*y - 123*y**3 - 2*y wrt d.
384*y**3 + 293740*y
Find the second derivative of -723210*m*t**2*y + 3*m*t**2 + 690*m*t*y**2 + 5777*m*t*y + 5*t**2*y**2 - t*y wrt t.
-1446420*m*y + 6*m + 10*y**2
What is the derivative of -32576*v**3 + 170*v - 14007453 wrt v?
-97728*v**2 + 170
What is the third derivative of -25*o**3*p**3 + o**3*p**2 + 595*o**3 + o**2*p**3 + 158*o**2*p**2 + 56*o**2*p + o*p**2 - 115*p**3 wrt o?
-150*p**3 + 6*p**2 + 3570
Find the first derivative of -13014959*z**2 - 10151689 wrt z.
-26029918*z
What is the first derivative of s**3 + 41*s**2 + 6769*s - 387048314?
3*s**2 + 82*s + 6769
Find the third derivative of -80423*s**3*u**2 + 36*s**3 - 41*s**2*u**2 + 8836*s**2 + s*u**2 + 11*u - 1 wrt s.
-482538*u**2 + 216
Find the first derivative of 7806755*a**4 - 17124700.
31227020*a**3
What is the second derivative of f**5 + 23604*f**3 - f**2 - 83*f + 40295 wrt f?
20*f**3 + 141624*f - 2
Find the second derivative of 553279479*n**2 + 11566619*n + 6.
1106558958
Differentiate -1116337825*h**4 + 709826348 with respect to h.
-4465351300*h**3
What is the first derivative of -5662071*y - 10038146?
-5662071
Find the third derivative of 5533472*f**3 + f**2 + 3567855.
33200832
Find the first derivative of 1486*v**2 + 3798*v - 31109060 wrt v.
2972*v + 3798
Differentiate 17*h*t - 1099286*h + 48198*t - 1672 with respect to h.
17*t - 1099286
What is the second derivative of -14141*h*i*z**2 + 11*h*i*z + 356*h*z**2 + 4*h - 2*i*z**2 - 1197*i*z + 3*z wrt z?
-28282*h*i + 712*h - 4*i
Find the second derivative of 13874738*l**2 - 22874*l - 114.
27749476
What is the second derivative of 128799663*j**2*o**2 + 149*j**2*o - 452*j**2 - 2*j*o + 2*j - 1 wrt o?
257599326*j**2
What is the second derivative of 242*v**4 - 10*v**3 - 207*v**2 - 9349554*v?
2904*v**2 - 60*v - 414
Find the third derivative of 546*b**5 + b**4 + 246*b**3 + 1848099*b**2.
32760*b**2 + 24*b + 1476
What is the second derivative of -2*j**3*m**2 - 4*j**3*m - 13*j**3 - 88*j**2*m + 7*j - 710251*m**2 - m wrt m?
-4*j**3 - 1420502
What is the third derivative of -8333469*h**3*j**6 - 2*h**3*j**2 + 4*h**3 - h**2*j - 7831*h**2 wrt j?
-1000016280*h**3*j**3
What is the second derivative of -20*c**3 + 15138965*c**2 - 20639728*c + 18 wrt c?
-120*c + 30277930
Differentiate 91365906*h*x**2 - 16569610*x**2 with respect to h.
91365906*x**2
Find the second derivative of 5049248*c**2 - 58790*c + 10 wrt c.
10098496
What is the third derivative of 3427438*m**5 + 2*m**3 - 11810512*m**2?
205646280*m**2 + 12
What is the third derivative of -500148*q**2*w**3 - 22*q**2*w + 2*q*w**2 - 38*q - 333*w**5 - 6621*w**2 wrt w?
-3000888*q**2 - 19980*w**2
Find the third derivative of 25025095*p**3 - 28684101*p**2 + 2*p.
150150570
Find the second derivative of -188900709*r**2*v - 528234*r*v - 51*r wrt r.
-377801418*v
What is the derivative of -38190778*c*u**2 + 2*c + 5794640 wrt u?
-76381556*c*u
Differentiate 25*i**4*j**2 + 775465*i*j**2 - 130105021*j**2 with respect to i.
100*i**3*j**2 + 775465*j**2
Find the second derivative of 22144*k**5*m - 524*k**3*m - 22*k*m - m - 756 wrt k.
442880*k**3*m - 3144*k*m
What is the third derivative of 248*w**6 + 317*w**5 + 2*w**4 - 2289443*w**2 - 4?
29760*w**3 + 19020*w**2 + 48*w
Find the first derivative of 2*o**3 + 3*o**2 - 3277948*o + 74543552 wrt o.
6*o**2 + 6*o - 3277948
What is the second derivative of -33864891*p**5 - 6*p**2*r - 49*p*r + 610*p + 666*r wrt p?
-677297820*p**3 - 12*r
What is the derivative of -1081*y**2 + 1229*y + 68202160 wrt y?
-2162*y + 1229
Find the third derivative of 11*m**2*p**3 - 15*m**2*p**2*v**2 + 15*m**2*p*v**2 + 2489420*m**2*v**3 + m*p**3*v**2 + 23*p**3*v**3 - 4*p**3*v**2 + 33*v wrt v.
14936520*m**2 + 138*p**3
Find the second derivative of 5970758*p**4 + 1520*p - 94.
71649096*p**2
What is the third derivative of 370*k**6 - 8968*k**3 - 6963179*k**2 wrt k?
44400*k**3 - 53808
Find the first derivative of -289013938*n**3*w + 20029*n**3 + 385*n - 1 wrt w.
-289013938*n**3
Differentiate -502*o**4 + 129*
|
{
"pile_set_name": "DM Mathematics"
}
|
18 + 818*p**3 + 825*p**3 - 1642*p**3 as f*p + q + o*p**2 + t*p**3 and give q.
-18
Rearrange 5*n + 3 - 3 + 2 - 2 - 2*n + 2*n - n + n + (-2 + 0 + 0)*(-2 + 2 - n) - n + 1 - 1 - 40*n + 2 + 11*n - 19*n to the form d*n + l and give d.
-42
Rearrange (0 + 0 - 2)*(7*t + 6*t**2 - t**2 - 9*t) to g*t**2 + b*t + r and give b.
4
Rearrange 73 + 70 + 77 - 1417*r - 220 to u + d*r and give d.
-1417
Express -3*r**2 + 0*r**2 + 2*r**2 + (-60*r - 93 + 93)*(r - r - 2*r) as o*r**2 + v*r + g and give g.
0
Rearrange -57*i**2 + 0 - 3 + 60*i**2 - i - 2*i**3 to f*i**2 + d + v*i + q*i**3 and give d.
-3
Rearrange -955 - 938 + 1893 - 2*t + 102*t**2 to the form w*t + h*t**2 + o and give w.
-2
Rearrange (0 + 1 - 7)*(5 + 1 - 4)*(2*w + 3*w - 4*w)*(-5*w + 6*w + 0*w) + 221*w**2 - 110*w**2 - 130*w**2 to s + y*w + o*w**2 and give o.
-31
Express -1 + 2*h + 6 + 1 + (-9 - 7 + 7)*(3*h - 5*h + h) in the form q*h + y and give y.
6
Express 9*o**3 + 10*o**3 + 16*o - 14*o**3 + (4*o**2 + o**2 - 3*o**2)*(0 - o + 0) as q + j*o**2 + f*o + m*o**3 and give f.
16
Rearrange (-3 + 4 + 1)*(-50*m + 575*m - 200*m - 1 + 3) to z*m + i and give z.
650
Rearrange 491*g + 60449 - 60449 to o + h*g and give h.
491
Express -46 + 7*o + 46 + (-o + 0*o + 7*o + (-4*o + 2*o + 3*o)*(-3 - 3 + 5))*(1 + 4 - 4)*(0 - 4 + 3) as d*o + w and give d.
2
Rearrange (9 - 4*c - 9)*(-3 - 4 + 5) + 2*c - 4*c + 0*c - 6*c - 5*c + 4*c to x*c + q and give x.
-1
Rearrange (2 - 1 - 3)*(1 + 5 - 5)*(-a + 2*a**2 + a) + (0*a - 8*a + 0*a)*(-3*a - a + 6*a) to the form z*a**2 + h*a + n and give z.
-20
Express (4*r**2 - r**2 - 5*r**2)*(21 + 19 - 25) + 10*r**2 - 2*r**2 + 0*r**2 as p*r + q + h*r**2 and give q.
0
Express (129*t - 737*t - 470*t)*(2*t**2 - 4*t + 4*t) in the form u + a*t**3 + o*t**2 + c*t and give u.
0
Rearrange -3 + 2 - 546*y + 1 + 77*y to the form t*y + x and give t.
-469
Rearrange (2 + 1305*n + 100*n**2 - 1305*n)*(n - 4*n + 2*n + (-5*n + 0*n + 4*n)*(2 + 0 - 1))*(1 - 4 - 2) to the form d*n + w*n**2 + p + l*n**3 and give p.
0
Express (-112*r + 112*r - 4*r**2)*(-11*r - 16*r**2 + 3*r**2 - 5107 + 5105) as k*r**4 + y*r**2 + d*r**3 + q + h*r and give d.
44
Rearrange -w**2 - w**3 - 4*w**3 - w**2 - 2 + 2*w**2 to r*w**3 + l*w + y*w**2 + n and give n.
-2
Rearrange 365*w**4 + 43*w**3 + w**2 - 3 + 5 - 363*w**4 to the form q*w**3 + y + a*w**2 + d*w + k*w**4 and give y.
2
Rearrange -v + 2*v**2 + 1230 - 1251 + v to k*v + x + h*v**2 and give x.
-21
Express 39*a - 114*a + 38*a + 39*a + 69 as j*a + q and give q.
69
Rearrange 3*d**4 + 0*d**4 - d**4 + (1 + 3 - 2)*(414*d**4 + 214 - 214) to the form z*d**3 + f + k*d + y*d**4 + p*d**2 and give y.
830
Rearrange -5*x**3 + 4*x**3 - 4*x**3 - 6*x**2 + 14*x**3 to the form n*x + i*x**2 + k*x**3 + o and give k.
9
Rearrange -38 + 4*k**3 - 2*k**3 - 7*k**3 + 34 to the form f*k**3 + a*k + u*k**2 + y and give y.
-4
Express -206*k + 414*k - 208*k + 55*k**2 in the form y*k**2 + l*k + x and give y.
55
Express 3*j**4 - j**4 - 341*j**2 + 110*j**2 + 113*j**2 + 119*j**2 - 23*j as h*j**3 + g*j**2 + k*j + x + a*j**4 and give k.
-23
Express -895*p - 12307 + 12307 as a + u*p and give a.
0
Rearrange 4*a + a**4 - a**3 + 2 + 13*a**2 - 16*a**2 - 8*a**2 to the form c*a + l + b*a**2 + o*a**4 + n*a**3 and give c.
4
Rearrange (168 - 95 + 365)*(d + 0*d + 0*d) to y*d + c and give c.
0
Express -5 - 7 + 4*w**3 + 0*w**3 - 3*w**3 in the form i*w**2 + z + q*w**3 + h*w and give q.
1
Express 3*g - 94*g**3 - 93*g**3 + 58*g**3 + (3 - 2 - 2)*(2*g**2 + g**3 - 2*g**2) - g**3 - 4*g**3 + 3*g**3 as d*g**3 + b*g**2 + a*g + h and give d.
-132
Rearrange -142 - 127 + 268 + 1402*h to the form o*h + j and give o.
1402
Rearrange (1 + 10 + 1)*(74*h**2 + 75*h**2 - 2*h - 155*h**2 - 3) to the form g*h**2 + t*h + c and give t.
-24
Rearrange 3*r + 13*r - 5*r + (-2*r + r + 2*r)*(71 + 211 - 48) to s*r + h and give s.
245
Express 1 + 1 - 8 - 1553*n + 1431*n in the form a*n + h and give a.
-122
Express -21 + v**2 + 231 + 3*v**2 + 30 - 3*v**2 as w*v**2 + m*v + u and give w.
1
Express (-3*c + 5*c - 3*c)*(13 - 29 + 17 + 808*c + 182*c) as k*c + a + u*c**2 and give u.
-990
Rearrange -21 + 18 - 266 + 2*r to the form u + q*r and give q.
2
Express (27 - 67 - 38)*(j - 3 + 3)*(4*j - j + 0*j) in the form g*j + h*j**2 + l and give h.
-234
Rearrange (-24*i + 110 - 110)*(0 - 2 + 0)*(-3 + 3 + 5*i) to k + h*i**2 + l*i and give h.
240
Rearrange -2*g**2 - 2*g**4 - 8 - 11991*g + 11989*g + 3*g**2 + g**3 to the form p + b*g + a*g**3 + u*g**4 + d*g**2 and give p.
-8
Rearrange (3*i - 3*i + 4*i)*(-2*i + 2*i**2 + 2*i) + 4*i**3 + 0*i**3 - 6*i**3 to g*i**2 + s + f*i + v*i**3 and give v.
6
Rearrange -69*x**3 - 1 + 13*x**3 - 2*x + 1 to the form j*x**2 + r + q*x + y*x**3 and give y.
-56
Express 173*x**2 + 168*x**2 - 340*x**2 + 6*x + 2*x**4 in the form r*x**2 + c + v*x**3 + m*x**4 + l*x and give l.
6
Express -a**4 - 5*a**4 + 4*a**4 + (-3*a**4 + 4*a**4 - 3*a**4)*(10 - 13 - 10) - 4*a**4 + a**4 + 2*a**4 in the form r*a**3 + m*a**4 + t + j*a**2 + q*a and give m.
23
Rearrange -182*l**2 + 161*l**2 - 192*l**2 - 165*l**2 to p*l + z*l**2 + w and give z.
-378
Express -t + 0*t - 6*t + (-3*t + 2*t - t)*(2 - 1 + 0) + 0*t - 3*t + t - 7*t + t + 4*t as h + b*t and give b.
-13
Rearrange (265*x - 2 - 152*x - 131*x)*(0 - 3 - 2) to q + a*x and give a.
90
Rearrange -10*c**3 - 2*c**3 + 2*c**3 + 7*c**2 - c + 11*c**3 - 6*c**4 to the form p*c**3 + b + u*c**4 + z*c**2 + y*c and give y.
-1
Express (3*z - 3 + 3)*(0*z**2 - 68*z**2 - 32*z**2) as g*z**2 + y*z**3 + h + f*z and give y.
-300
Rearrange (0 + 0 + 4)*(9864 - 9864 + 750*b**4) to t*b**2 + y*b**3 + f*b + g*b**4 + w and give f.
0
Rearrange -462*k**3 - 2*k - 28 - 43 + 69 + 2*k to t*k**3 + f + s*k + q*k**2 and give f.
-2
Rearrange -7*m**3 - 5*m**4 + 4*m**3 + 3*m**4 - m**4 - 2*m + 2*m**3 to z*m**4 + o + s*m + k*m**3 + w*m**2 and give s.
-2
Rearrange (3 + z**2 - 1 + 0)*(2*z + z + 2*z) to the form p*z**3 + b*z**2 + n + s*z and give p.
5
Express 61*m + 36*m + 1 - 19*m - 4 in the form k + u*m and give u.
78
Express -k + 200*k**2 + 109*k**2 - 52*k**2 + 61*k**2 in the form m*k**2 + j + x*k and give m.
318
Express (-4*x**2 + 2*x**2 + x**2)*(22*x + 237 - 237) + (-2*x**2 + 2*x**2 - 2*x**3)*(-4 + 0 - 3) in the form u + g*x**3 + f*x**2 + q*x and give u.
0
Express (-2*k - 1 + 1)*(2 + 0 - 1) - 607*k - 616*k + 68*k - 760*k in the form h + m*k and give m.
-1917
Rearrange -83*h - 582*h - 31*h - 277*h to the form a*h + u and give a.
-973
Rearrange (-484 - 269 - 1284)*(-3*u**4 + u**4 + 3*u**4) to h*u**4 + a*u**3 + w*u**2 + g + x*u and give h.
-2037
Express (-1 + 4 - 5 + (0 - 1 + 0)*(2 - 2 + 2) - 17 - 7 + 13)*(2*v - 7 + 7) in the form q + y*v and give y.
-30
Rearrange (0*y + 3*y - 4*y)*(-6 + 1 + 3 + (2 - 3 + 0)*(0 - 3 + 2) + 1 + 2 - 1 + 5 - 3 + 1) to a + f*y and give f.
-4
Express (32*p - 18727 + 18727)*(-86*p**2 + 86*p**2 + 4*p**3) + p**3 + p**4 - p**3 in the form m*p + z*p**4 + q + x*p**2 + g*p**3 and give z.
129
Rearrange (20*p - 104 + 2*p**2 + 104)*(-6*p + 3*p - 3*p) to the form j*p + u*p**3 + n + g*p**2 and give g.
-120
Rearrange 3*t**4 + 132 + 20*t**3 - 131 - 6*t**2 - 21*t**3 to j*t**2 + i*t**3 + l*t**4 + x + s*t and give l.
3
Rearrange 364*d**2 + 696*d**2 + 53*d**2 + (-d - 1 + 1 + 1)*(d + d + 0*d) to the form i*d**2 + m*d + v and give i.
1111
Express 103 + 0*u**3 - 5*u**2 - 3*u**3 - 106 as h + v*u**2 + g*u + s*u**3 and give s.
-3
Express (-2 + 6 - 2)*(3*g + 90*g + 240*g) in the form m*g + v and give m.
666
Rearrange (1 + 2 + 2)*(-6*w - 3*w + w)*(-4 + 1 + 6) to y*w + t and give y.
-120
Express (-29*v**2 + 29*v**2 - 48*v**3)*(-2 + 1 + 0) as j + z*v**3 + x*v + w*v**2 and give z.
48
Express 78*x + 278*x - 155*x + 203*x in the form d*x + w and give d.
404
Express 2*y**4 - 2000*y**3 + 2002*y**3 - 2*y**2 - 2*y + 5*y**4 as t*y**3 + s + m*y + o*y**2 + v*y**4 and give m.
-2
Rearrange (-8*g + 0*g - 3*g)*(-2*g - 2 + 2) + 18*g - 18*g - 13*g**2 to b*g + a + v*g**2 and give v.
9
Express (-3 + 0 + 1)*(-130*p - 60*p + 551*p)*(0 - p**2 + 0) in the form m*p**2 + y*p**3 + r*p + j and give y.
722
Rearrange -5*o**3 + 6*o**3 - 4187*o**4 + 4234*o**4 + 4 to f*o**2 + m + v*o + t*o**3 + r*o**4 and give t.
1
Express 0*n**2 - 4*n + 9 + 12*n - n**3 + n**2 - 12 as j*n**2 + m*n**3 + f*n + d and give m.
-1
Rearrange 3*i**2 + 25*i**2 + 7*i - 20*i**2 + 74*i**2 to o + a*i**2 + g*i and give g.
7
Express -2234*a + 90 + a**3
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 148*b. Let z(j) = s(j) - 12*w(j). Let q(h) be the second derivative of -7*h**3/6 + h. Calculate z(q(n)).
21*n
Let t(u) = -1285*u**2. Let s(g) = -82*g. Determine s(t(b)).
105370*b**2
Let g(x) = 7*x. Let t(o) = 928*o + 111. Give g(t(q)).
6496*q + 777
Let p(q) = 2*q**2. Let v(u) be the third derivative of 0 + 0*u**3 + 0*u + 9/10*u**5 + 27*u**2 + 0*u**4. Calculate p(v(f)).
5832*f**4
Let z(a) = -3*a. Let h(t) = -157778*t. Calculate z(h(j)).
473334*j
Let v(j) = -2*j - 8. Let z be v(-6). Let n be 1/(-4*z/(-32)). Let l(t) = -31*t + 2 - n + 28*t. Let k(u) = -u. Calculate l(k(o)).
3*o
Let r(g) = 5. Let d(a) = a + 25. Let y(p) = 2*d(p) - 10*r(p). Let f(q) = 181*q + 2. What is y(f(l))?
362*l + 4
Let z(u) = 3*u. Let p(d) = -91*d**2 + 26. Determine p(z(h)).
-819*h**2 + 26
Let s(x) be the third derivative of x**4/3 + 3*x**2. Suppose 5*d - 4640 = -2*l, -4*d - 4*l + 367 + 3357 = 0. Let n(w) = d - 3*w - 926. Give n(s(q)).
-24*q
Let a(f) = 67349*f**2. Let h(z) = -3*z. Calculate h(a(p)).
-202047*p**2
Let r(x) = 5*x + 6. Let o(s) = 42*s + 51. Let l(y) = 6*o(y) - 51*r(y). Let u(z) = 48*z. What is u(l(d))?
-144*d
Let c be ((-6)/(-162))/(4/18). Let h(i) be the second derivative of 3*i + c*i**3 + 0 + 0*i**2. Let t(a) = -6*a. Give h(t(v)).
-6*v
Let z(s) = 4*s - 24. Let b(x) = 3*x + 44. Let g(i) = i + 16. Let y(t) = -4*b(t) + 11*g(t). Determine y(z(l)).
-4*l + 24
Let o(s) = -2*s. Let t be 1/((-3)/(-60)*4). Let u(i) = -4*i - 6*i - 10*i + t*i. Determine u(o(n)).
30*n
Let v(t) = t**2. Let q = -86 - -88. Let i(o) = 1387*o - 1387*o - q*o**2. Calculate i(v(h)).
-2*h**4
Let l(r) be the second derivative of 4*r**3 + 2*r. Let n(s) = -1069360 + 1069360 + 2*s**2. Give n(l(p)).
1152*p**2
Let l(z) = -2*z - 1993. Let j(c) = -120*c**2 + 2*c. Give l(j(i)).
240*i**2 - 4*i - 1993
Let h(o) = -39*o**2 + 5. Let i(r) be the second derivative of 44*r**4/3 - 11*r**2 + 39*r. Let b(u) = -22*h(u) - 5*i(u). Let d(g) = g. What is b(d(m))?
-22*m**2
Let l(x) = 282 + 284 + 27*x - 566. Let o(p) = 2*p. Let s(z) = -z. Let a(k) = -o(k) - s(k). Give l(a(g)).
-27*g
Let s(p) = -61*p. Let l(j) = 1220*j. Calculate l(s(k)).
-74420*k
Let k(v) = -7*v**2. Let d(u) = -3*u - 753. Determine k(d(i)).
-63*i**2 - 31626*i - 3969063
Let i(o) = 3*o - 2. Let z(m) = 4*m + 152. Determine z(i(u)).
12*u + 144
Let p(w) = -4*w**2. Let o(z) = 13*z**2 + 5*z. Let i(y) = -6*y**2 + 15992 - 15992 - 2*y. Suppose 0 = b - 3 + 1. Let g(m) = b*o(m) + 5*i(m). What is g(p(c))?
-64*c**4
Let y(l) = 4*l**2. Let k(u) = 43*u - 12. Let p(z) = 4300*z - 1204. Let t(s) = 301*k(s) - 3*p(s). What is y(t(w))?
7396*w**2
Let c(s) = 33*s - 9. Let m(t) = 16*t - 5. Let y(w) = 5*c(w) - 9*m(w). Let u(g) = g + 1. Let z(a) = -3*a - 2. Let l(i) = 6*u(i) + 3*z(i). What is l(y(b))?
-63*b
Let m(j) be the third derivative of 0 + 0*j + 7/60*j**5 + 0*j**3 - 2*j**2 + 0*j**4. Let i(z) be the second derivative of -z**4/6 - 26*z. Calculate i(m(f)).
-98*f**4
Let x(o) = 98*o**2. Let l(v) = 4205*v**2. Calculate x(l(p)).
1732838450*p**4
Let k(o) = 2391*o - 14. Let c(a) = -6*a. Determine k(c(q)).
-14346*q - 14
Let h(k) = -12*k**2. Let v(u) be the second derivative of u**4/6 + 23*u**2 - 2*u + 8. Let a(o) be the first derivative of v(o). What is a(h(g))?
-48*g**2
Let j(z) = -3*z. Let o(t) = 701*t. Let k(h) = -2*j(h) - o(h). Let s(a) = a. What is s(k(y))?
-695*y
Let g(z) = -13*z - 2436. Let j(b) = b. Determine g(j(y)).
-13*y - 2436
Let m be (-1)/2*2*-2. Let i = m + 0. Let q(t) = 8*t**i + 9*t**2 - 16*t**2. Let h(p) = 3*p**2. Give q(h(g)).
9*g**4
Let x(c) = c - 425396. Let z(g) = 2*g**2. Determine x(z(b)).
2*b**2 - 425396
Let m(j) = 32*j - 11. Let o(q) = -12*q - 5. Let a be o(-3). Let d = a - 42. Let f(n) = 11*n - 4. Let v(s) = d*f(s) + 4*m(s). Let b(r) = -2*r. Determine v(b(x)).
-14*x
Let v(r) = 4*r. Let n(i) = -4*i**2 + 15*i - 270. Determine v(n(p)).
-16*p**2 + 60*p - 1080
Let h(w) = -w**2. Let f(a) = -7*a**2. Let d(c) = -f(c) + 6*h(c). Let y(v) = -16*v**2 - v + 9*v**2 + v. Calculate y(d(l)).
-7*l**4
Let g(m) = m**2. Let d(z) = -18954*z. Calculate g(d(k)).
359254116*k**2
Let i(g) be the second derivative of -g**6/180 - 2*g**3 - 10*g. Let t(u) be the second derivative of i(u). Let h(v) = 5*v**2. What is t(h(a))?
-50*a**4
Let j(f) = -7*f**2. Let t(l) = 0*l + l**2 + 2*l**2 + 4*l. Let h(r) = -3*r**2 - 3*r. Let b(v) = -4*h(v) - 3*t(v). Determine j(b(u)).
-63*u**4
Let p(v) = -310*v - 23. Let f(w) = -3*w. Calculate p(f(r)).
930*r - 23
Let c(d) = 6*d + 5*d**2 - 6*d. Let b(k) = 61*k + 54*k + 63*k - 181*k. Calculate c(b(v)).
45*v**2
Let l(k) = 8 - 26*k - 8 + 29*k. Let h(g) = 37*g**2. Calculate l(h(b)).
111*b**2
Let g = 85 + -80. Let w(i) = g - 5 + 0*i - i. Let k(u) = 7*u. Calculate k(w(v)).
-7*v
Let l(w) be the third derivative of -w**5/60 - w**4 - w**2 - 7*w. Let z(m) = -m**2. Calculate z(l(q)).
-q**4 - 48*q**3 - 576*q**2
Let y(f) = -7*f**2. Let i(o) = 2*o**2 + 107*o - 51. Let a be i(-54). Let k(n) be the first derivative of 0*n**2 + 0*n + 1/3*n**a + 1. Calculate y(k(h)).
-7*h**4
Let h(m) = 25609*m. Let p(y) = 2*y + 147. Give p(h(r)).
51218*r + 147
Let p(c) be the second derivative of 0*c**3 + 0 + 0*c**2 - 5*c - 1/6*c**4. Let s(l) be the second derivative of -5*l**3/6 + 3*l. What is p(s(v))?
-50*v**2
Suppose 1 = 4*l + 3*u - 5, -10 = -4*l - u. Let c(s) = s**2 - l*s**2 + s**2 - 3*s**2. Let g(n) = -4*n**2. What is c(g(b))?
-64*b**4
Let u = 13 - 9. Suppose 2*x - 4*x + u*z = -14, 2*z = -3*x + 5. Let k(c) = -c + 3 - x + 0. Let i(o) = -5*o**2. What is i(k(w))?
-5*w**2
Let g(w) = 3*w**2. Let z(p) be the second derivative of p**5/8 - 10*p**3/3 - 10*p. Let v(r) be the second derivative of z(r). What is g(v(s))?
675*s**2
Let g(y) = -17*y. Let x(j) be the first derivative of 2*j**3/3 + 37. Give g(x(b)).
-34*b**2
Let z(c) = 20*c**2 + 1. Let h(x) = 2*x. Let g(u) = -9*u. Let a(j) = 6*g(j) + 26*h(j). Calculate a(z(k)).
-40*k**2 - 2
Let k(y) = -y. Let h(p) be the third derivative of -16*p**5/15 + 40*p**2. What is k(h(c))?
64*c**2
Let v(d) = -18102*d + 15 + 18056*d - 15. Let h(k) be the second derivative of -k**3/3 + k. Give h(v(r)).
92*r
Let b(d) = 6*d**2. Let w = 279 + -276. Let p(s) be the second derivative of 0 - 1/6*s**w - 6*s + 0*s**2. Give p(b(h)).
-6*h**2
Let j(f) = -40*f**2. Let k(u) = -2*u**2 - 2. Let s(g) = -36*g**2 - 30. Let o(h) = -15*k(h) + s(h). What is j(o(t))?
-1440*t**4
Let d(l) = 18*l. Let n(m) = -3*m**2 - 2*m**2 + 4*m**2 - 3*m**2. Give d(n(q)).
-72*q**2
Let c(u) be the first derivative of 2*u**3/3 - 1. Let p be ((-110)/3)/(8/(-12)). Let s(h) = -3*h**2 + 55*h - p*h. Determine c(s(v)).
18*v**4
Let l(h) = 3*h**2 + 50 - 31 - 19 + 0*h**2. Let k(v) = -10*v. Let y(p) = -70*p. Let o(z) = -30*k(z) + 4*y(z). Give l(o(b)).
1200*b**2
Let v(r) = -4*r. Suppose -2*s = 4*y + y - 20, 0 = 3*s. Let m(l) = -y*l + 3*l - 2*l. Let d(a) = 3*m(a) - 2*v(a). Let t(b) = b. What is d(t(p))?
-p
Let a(d) = -2*d. Let w(g) = -459614*g. Calculate a(w(v)).
919228*v
Let p(t) = -16*t**2 + 51*t**2 - 29*t**2. Let x(i) = -i. Give p(x(w)).
6*w**2
Let o(b) be the third derivative of -b**5/30 - b**2. Let h(y) be the second derivative of 0*y**2 + 0 + 21*y - 5/12*y**4 + 0*y**3. What is o(h(s))?
-50*s**4
Let o(g) = -266*g. Let b(x) = -2*x - 43. Calculate b(o(h)).
532*h - 43
Let s(p) = -6*p**2 - 253*p. Let o(c) = -59*c. Calculate o(s(n)).
354*n**2 + 14927*n
Let t(u) = -2391*u. Let a(q) = 5*q**2 + 4. What is a(t(v))?
28584405*v**2 + 4
Let d(c) = 290*c - 148*c - 158*c. Let w(r) = -7*r. Calculate d(w(x)).
112*x
Let w(u) = -40*u**2 - 10. Let k(f) = 1. Let h(n) = -10*k(n) - w(n). Let p(q) be the first derivative of q**2 - 152. Determine h(p(t)).
160*t**2
Let k(r) = 24*r - 9. Let l(z) = 2*z**2 + 0*z**2 - 11*z**2 + 7*z**2. What is l(k(h))?
-1152*h**2 + 864*h - 162
Let k(l) be the first derivative of -l**3 + 1. Let t(j) = -86*j - 11. Let r(g) = -16*g - 2. Let i(h) = -11*r(h) + 2*t(h). Determine i(k(d)).
-12*d**2
Let r(f) = -23*f + 0*f + 15*f. Let w(l) = 6*l. Determine r(w(d)).
-48*d
Let g(u) = 17*u**2. Let n(t) be the first derivative of t**5/60 + 4*t**3/3 + 15. Let q(o) be the third derivative of n(o). Give q(g(k)).
34*k**2
Let z(o) be the first derivative of -o**2/2 + 196. Let w = 3 - 1. Let k(j) = -12 + w*j + 12. What is k(z(n))?
-2*n
Let m(h) = -h. Let r(i) = -648811*i**2. Calculate m(r(b)).
648811*b**2
Let b(r) = 4*r + 1. Let o(t
|
{
"pile_set_name": "DM Mathematics"
}
|
l**2
Collect the terms in 66 - 3*c - 582 + 53.
-3*c - 463
Collect the terms in -210212*o**3 + 420438*o**3 - 210217*o**3.
9*o**3
Collect the terms in 168 - 53 - 115 - 65*s.
-65*s
Collect the terms in -219*a**3 - 825*a**2 + 2481*a**2 - 827*a**2 - 829*a**2.
-219*a**3
Collect the terms in -3 - 262*u + 1 - 310*u + 99*u.
-473*u - 2
Collect the terms in 82970746*s**2 - 4*s**3 - 82970746*s**2 + 14*s.
-4*s**3 + 14*s
Collect the terms in -6880 - 2794*g**2 + 6880.
-2794*g**2
Collect the terms in 324*t + 9*t**3 - 100*t - 109*t - 104*t.
9*t**3 + 11*t
Collect the terms in -2*y**3 - 14361596*y + 14361596*y.
-2*y**3
Collect the terms in -107 - 102 - 211*f**2 + 853*f**2 + 209.
642*f**2
Collect the terms in 263 + 144 - t + 10*t**3 - 12*t**3 + 7*t.
-2*t**3 + 6*t + 407
Collect the terms in c - 11*c**2 - 46*c + 45*c.
-11*c**2
Collect the terms in -4*y**2 + 6*y**3 + y**3 - y**2 + 5*y**2.
7*y**3
Collect the terms in 34 + 16 - 91*y**3 - 50.
-91*y**3
Collect the terms in 58*y**2 + 45*y**2 - 4*y**3 - 1143*y + 1143*y.
-4*y**3 + 103*y**2
Collect the terms in -5*a**2 + 182*a**2 + 236*a**2 + 6*a**2.
419*a**2
Collect the terms in 5*m**2 + 7*m**2 + 5*m**2 - 19*m**2 - 21454 + 21454.
-2*m**2
Collect the terms in 164*y**2 + 184*y**2 + 182*y**2 - 531*y**2.
-y**2
Collect the terms in -948*h + 2856*h - 950*h - 950*h.
8*h
Collect the terms in 79743 - 79743 + 5*a.
5*a
Collect the terms in 317040*y**2 - 4943*y**2 + 20823*y**2.
332920*y**2
Collect the terms in -28 + 73 + 4*h - 45.
4*h
Collect the terms in -2*o + 2*o + 2*o + 7753.
2*o + 7753
Collect the terms in 8*t - 2*t + 2*t + 10*t + 11*t - 26*t.
3*t
Collect the terms in -10*j - 9*j + 278*j**2 - 9*j + 27*j.
278*j**2 - j
Collect the terms in 4 + 524432*u - 4.
524432*u
Collect the terms in -44*q + 96 - 54*q + 154*q - 53*q.
3*q + 96
Collect the terms in 4*j**2 - 24 + 24 - 34*j**2.
-30*j**2
Collect the terms in -2343950 + 2343950 - 5*b**2.
-5*b**2
Collect the terms in -3*r**3 + 9713*r + 846*r**2 - 846*r**2 - 9713*r.
-3*r**3
Collect the terms in -3*z**2 - 1 + 9*z**2 + 0*z**2 - 2*z**2.
4*z**2 - 1
Collect the terms in -1743*i**2 - 1237*i**2 - 1223*i**2.
-4203*i**2
Collect the terms in -2*t + 30855*t**2 + 30795*t**2 + 2*t - 61700*t**2.
-50*t**2
Collect the terms in 36*f**2 + 107*f - 107*f - 23*f**2.
13*f**2
Collect the terms in 3 + 3 - 6 - 2 + 146*k.
146*k - 2
Collect the terms in -294*b**2 - 632*b**2 + 164*b**2.
-762*b**2
Collect the terms in -51*d**3 + 369*d**3 - 52*d**3 - 52*d**3.
214*d**3
Collect the terms in 1146*f - 805*f - 1249*f.
-908*f
Collect the terms in 204*p**3 - 375*p**3 + 172*p**3.
p**3
Collect the terms in -174*f - 98*f - 1 - 4*f.
-276*f - 1
Collect the terms in 28 - 9 - 19*z**3 + 7*z**3 - 4*z**3 - 19.
-16*z**3
Collect the terms in 182*m + 179*m + 152*m - 313*m + 51*m.
251*m
Collect the terms in 154 + 162 - 487 + 3*a**2 + 2*a**2 + 171.
5*a**2
Collect the terms in -4 + 4 - 15338*h.
-15338*h
Collect the terms in -408*i + 763*i - 360*i.
-5*i
Collect the terms in 10*z + 9*z + 1942554*z**3 - 1942557*z**3 - 19*z.
-3*z**3
Collect the terms in 3*i - 36 - 3*i + 2*i + i - 2*i.
i - 36
Collect the terms in -6*t - 53356 - 2*t**3 + t + 5*t.
-2*t**3 - 53356
Collect the terms in 30*x**3 - 253611 + 253611.
30*x**3
Collect the terms in 5 + 36*i**3 + 286*i - 5 - 288*i.
36*i**3 - 2*i
Collect the terms in 1779004 - 1779004 - 24*x.
-24*x
Collect the terms in -11 + 15 + 140*w - 138*w.
2*w + 4
Collect the terms in 5610*t**2 - 6*t - 5608*t**2 - 7*t.
2*t**2 - 13*t
Collect the terms in -29 - 39 - 60 + 128 + 73*a.
73*a
Collect the terms in -3*q**3 + 636 + 5*q**3 - 28*q**2 + 54*q**2 - 26*q**2.
2*q**3 + 636
Collect the terms in -22345*w**2 - 2*w**3 + 0*w**3 + 67049*w**2 - 22349*w**2 - 22355*w**2.
-2*w**3
Collect the terms in 15 - 19 + 4 - 192*d + 189*d.
-3*d
Collect the terms in -3*n**3 + 181*n**2 + 14 - 181*n**2 + n**3.
-2*n**3 + 14
Collect the terms in -43*v**3 + 1539*v**3 - 1509*v**3.
-13*v**3
Collect the terms in -18441*r**3 + 194*r**2 + 18439*r**3 - 194*r**2.
-2*r**3
Collect the terms in 2*f + 791*f**2 + 718*f**2 - 2*f.
1509*f**2
Collect the terms in -35*o + 79*o + 5 + 128*o.
172*o + 5
Collect the terms in 2 - 386923*n - 2 + 386940*n.
17*n
Collect the terms in -164*j**2 + 30 + 996*j + 163*j**2 - 30.
-j**2 + 996*j
Collect the terms in 2 + 5*b**2 - 12 + 7 + 9.
5*b**2 + 6
Collect the terms in 3 + 718*s**2 - 1267*s**2 + 560*s**2 + 1 - 5.
11*s**2 - 1
Collect the terms in -258 + 3*b + 132 + 126 - 7*b**3.
-7*b**3 + 3*b
Collect the terms in 364*l**2 - 288*l**2 - 20*l + 20*l.
76*l**2
Collect the terms in -11191*m + 22376*m - 42 - 11182*m.
3*m - 42
Collect the terms in 163*t - 263*t + 130*t - 175*t**2.
-175*t**2 + 30*t
Collect the terms in 5*t**3 + 11*t**3 + 6*t**3 - 2*t**3 + 12*t**3.
32*t**3
Collect the terms in -19*t - 21*t - 19*t + 71*t - 13*t.
-t
Collect the terms in 13 - 6*n - 2*n - 6*n - 41.
-14*n - 28
Collect the terms in -5*n - 10*n + 1298*n**2 + 27*n - 11*n.
1298*n**2 + n
Collect the terms in 234*g**2 + 236*g**2 - 924*g**2 + 223*g**2 + 228*g**2.
-3*g**2
Collect the terms in -60*s**2 + 146*s**2 + 116*s**2.
202*s**2
Collect the terms in -30*w**3 + 161*w**3 - 33*w**3 - 33*w**3 - 31*w**3 - 29*w**3.
5*w**3
Collect the terms in -155 + 9*l**2 + 283 + 35*l**2 - 128.
44*l**2
Collect the terms in -417*t**2 - 719*t**2 - 1251*t**2 - 2591*t**2.
-4978*t**2
Collect the terms in -14*j**2 - 12103*j + 2*j**2 + 24200*j - 12097*j.
-12*j**2
Collect the terms in 0*j**2 - j**2 + 315*j - 317*j.
-j**2 - 2*j
Collect the terms in 57*p + 294*p + 1085*p - 4.
1436*p - 4
Collect the terms in -2552*n**2 + 855*n**2 + 853*n**2 + 839*n**2.
-5*n**2
Collect the terms in -394*w**2 - 43060998 + 43060998.
-394*w**2
Collect the terms in 2*k + 4 - 1 - 91*k**2 - 71*k**2 - 3.
-162*k**2 + 2*k
Collect the terms in 1314*j**2 - 658*j**2 - 736*j**2.
-80*j**2
Collect the terms in -117*o**3 - 96*o**3 - 2841*o + 2841*o - 41*o**3.
-254*o**3
Collect the terms in 3960*x - 1829*x - 1059*x.
1072*x
Collect the terms in 500*q**3 - 960*q**3 + 572*q**3.
112*q**3
Collect the terms in -427*d**2 - 430*d**2 - 430*d**2 - 429*d**2 + 1711*d**2.
-5*d**2
Collect the terms in 78345*a - 74*a**2 + 103*a**2 - 32*a**2 - 78345*a.
-3*a**2
Collect the terms in -1 + 314*q - 1757*q - 313*q.
-1756*q - 1
Collect the terms in -293*w - 111*w + 119*w.
-285*w
Collect the terms in -x - 4*x - 8*x + 2*x - 9*x**3.
-9*x**3 - 11*x
Collect the terms in 85*l**2 + 79*l**2 - 151*l**2 - 1.
13*l**2 - 1
Collect the terms in -2 + 0 - 102*v + 59*v + 4 + 6.
-43*v + 8
Collect the terms in 20 + 17 + 142*n - 37.
142*n
Collect the terms in 81*w - 161*w + 81*w + 45*w**2.
45*w**2 + w
Collect the terms in 686*m**3 + 28885*m - 28885*m - 22 + 22.
686*m**3
Collect the terms in 3781*z**2 + 8079*z**2 + 7520*z**2 - 3707*z**2.
15673*z**2
Collect the terms in -12442*f + 4192*f + 4051*f + 4196*f.
-3*f
Collect the terms in -7*t**3 + 47*t**2 + 11*t**2 - 45*t**2 - 13*t**2.
-7*t**3
Collect the terms in 495*g**3 - 184*g**3 - 342*g**3.
-31*g**3
Collect the terms in 55 - 234*v - 15 + 238*v + 12.
4*v + 52
Collect the terms in 10*y + 5*y + 16*y - 28*y.
3*y
Collect the terms in -11*v**2 + 3076 + 9*v**2 - 3076.
-2*v**2
Collect the terms in -12546 + l + 2*l**2 - l.
2*l**2 - 12546
Collect the terms in -7 - 186*k**2 + 8 + 2.
-186*k**2 + 3
Collect the terms in -p + 1 - 415*p**3 + 4*p + 114*p**2 - 2*p.
-415*p**3 + 114*p**2 + p + 1
Collect the terms in -9*u**2 + 4546*u - 2273*u - 2273*u.
-9*u**2
Collect the terms in -9*w**2 + 39 - 178 + 104 + 35.
-9*w**2
Collect the terms in -h - 254*h**3 + 7*h**2 - 7*h**2 - 7.
-254*h**3 - h - 7
Collect the terms in 54*s - 58*s + 49*s + 69*s + 1.
114*s + 1
Collect the terms in -35*d**3 - 82*d**3 - 95*d**3 + 37*d**3 - 7*d**3.
-182*d**3
Collect the terms in 29939040066*g - 29939040066*g - 3*g**3.
-3*g**3
Collect the terms in 28 - 94 - 137 + 25 + 4*s**2 + s.
4*s**2 + s - 178
Collect the terms in 211*b**2 - 44*b**2 - 43*b**2 - 53*b**2 - 48*b**2 - 8*b**2.
15*b**2
Collect the terms in -2*s**2 + 37*s**2 - 91*s**2.
-56*s**2
Collect the terms in 1056*x**2 - 250*x**2 - 251*x**2 - 300*x**2 - 257*x**2.
-2*x**2
Collect the terms in -81 - 36 + 159 - 42 + 7*l.
7*l
Collect the terms in 3296*r**3 - 6599*r**3 + 3305*r**3.
2*r**3
Collect the terms in 268 + 959*s - 1935*s + 979*s - 268.
3*s
Collect the terms in -106460 + 106460 - 2*q**3.
-2*q**3
Collect the terms
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
r**(-169/7)
Simplify (k**(-17)/(k*(k/(k/(k*k**(-2/19))))/k*k*k))/(k/(k**(-9)/k)*k)**(1/16) assuming k is positive.
k**(-1569/76)
Simplify o*o**(-20)*o**(-21)*o**(-29)*o**(-30) assuming o is positive.
o**(-99)
Simplify (l**(3/4))**(-2)*(l*l*l**(-2))**(-9) assuming l is positive.
l**(-3/2)
Simplify ((v**(2/5)/v*v**(-6/5)/v)/((v/(v**9/v))/(v/(v*v*v/(v/(v/(v/((v/((v/(v/(v/((v*v**(-2/11))/v))))/v))/v))))))))**(-2/41) assuming v is positive.
v**(-372/2255)
Simplify ((x*((x*x**(-15))/x)/x)/(x/(x*x/(x/x**19))))/((x/x**(-12/13))/(x*(x/(x**(-3/16)/x))/x)) assuming x is positive.
x**(887/208)
Simplify g**(3/8)*g*g**(-3/5)*g*(((g*g*g**15)/g)/g)/((g*g**(-14/5)*g)/g) assuming g is positive.
g**(743/40)
Simplify (b/(b/b**(-3))*b*b**(-4)*(b/b**(-3))/b**(-4/3))**31 assuming b is positive.
b**(-62/3)
Simplify ((((s/s**(-16)*s*s)/s*s)/s)/s**17)/(s**(-1/12)*s**(4/5)) assuming s is positive.
s**(17/60)
Simplify (((u*u**(-13))/u)/(u/(u*u**(-2)*u*u)))/((u*u**4*u)/((u/u**(-6/17))/u)) assuming u is positive.
u**(-317/17)
Simplify (y/(y*y/y**0)*y**(2/9))**(-22) assuming y is positive.
y**(154/9)
Simplify (((n*n/((n/n**10)/n))/n)/((n*n/n**(2/11)*n)/n*n))/(n**(-4)/n)**(-44) assuming n is positive.
n**(-2330/11)
Simplify ((q/(q/q**(2/29)*q)*q/(q*q**(-2/13))*q)**47)**(-38) assuming q is positive.
q**(-150024/377)
Simplify ((d*d**(-9/5)*d)/d)**(32/5)/(d**(2/11))**(-2/93) assuming d is positive.
d**(-130844/25575)
Simplify g**28/(g/g**(4/5)*g)*(((g*g*g**(-7)*g)/g)/g)/(g*g**(-32)) assuming g is positive.
g**(259/5)
Simplify (((t*t*t**(3/4))**(-40))**39)**(7/5) assuming t is positive.
t**(-6006)
Simplify (((f**5/f*f*f)/f**(-2/11))/(f**(-1)*f/f**(5/4)))**6 assuming f is positive.
f**(981/22)
Simplify ((z**(-1/4))**(-48)/((z/z**0)/(z/z**(-6))))**(-1/25) assuming z is positive.
z**(-18/25)
Simplify y**(-1/3)*y**(-7/3)/y*y**13*y*y**2 assuming y is positive.
y**(37/3)
Simplify (s/s**(-7))**(-42)/((s**(1/5)*s)/s)**(22/3) assuming s is positive.
s**(-5062/15)
Simplify (q**12)**31*(q/(q**(-10/7)/q))**39 assuming q is positive.
q**(3540/7)
Simplify ((p**(2/39)/p)/p**14)/(p*p/(p/p**1*p))**16 assuming p is positive.
p**(-1207/39)
Simplify (((w*w/(w*(w**(-2/7)/w)/w))**24)**(-32/7))**40 assuming w is positive.
w**(-706560/49)
Simplify (j**1)**2*(j*(j**(1/5)/j)/j*j)**(-10) assuming j is positive.
1
Simplify (v*(v*v/(v/(((v/(v/v**(3/5)*v))/v)/v)))/v)**(-29/4)*v**(1/12)/(v/(v*v*v**(-4)/v*v*v*v*v)) assuming v is positive.
v**(307/30)
Simplify ((((k/k**1)/k)/k)**(13/4)/((k/k**(-5))/(k*k**4)))**22 assuming k is positive.
k**(-165)
Simplify (i/(i/i**(-1/4))*i/((i*(i/(((i*i/i**(-3/4))/i)/i))/i)/i*i))/(i/(i*((i**0/i*i)/i)/i))**(-19/3) assuming i is positive.
i**(79/6)
Simplify (u**7*u**(-2/33))/(u*(u**3/u)/u)**(-30) assuming u is positive.
u**(2209/33)
Simplify (n/(n/(n/((n*n**(4/11)*n)/n))))**(-1/51)/(n**(2/21))**(6/7) assuming n is positive.
n**(-2048/27489)
Simplify (j**(-6))**(-24)/(j/j**(2/3))**(-5/2) assuming j is positive.
j**(869/6)
Simplify (h*h/(h/(h**(6/5)*h)))**23*(h/(h*h**22)*h)/h*h**(-1/4) assuming h is positive.
h**(1027/20)
Simplify n*n*n/(n/(n/n**(3/4)))*n**(-31)*n**(-18)/n**(-2/45) assuming n is positive.
n**(-8407/180)
Simplify (r**(-15)/r**(-1/15))/(r*(r*r/r**(-4/11))/r*r**(-10)/r) assuming r is positive.
r**(-1039/165)
Simplify (((h**(1/4)*h)/h*h*((h**(-3)/h)/h*h)/h)/(h**6*h**2*h))**(-6) assuming h is positive.
h**(153/2)
Simplify s/(s/s**22)*s**25/s*(s*s*s/(s*s*s**(2/29)*s)*s)**49 assuming s is positive.
s**(2657/29)
Simplify ((k/(k*k**20/k))/(k/(k/k**(-3/11))))/(k**17*k*k*k*k**10/k) assuming k is positive.
k**(-525/11)
Simplify ((i**2/i)/i*i/(i*i**(-2/19)*i))/(i**0/i)**44 assuming i is positive.
i**(819/19)
Simplify (a**(1/4))**47/(a/a**7*a*a/(a**0/a)) assuming a is positive.
a**(59/4)
Simplify (t**14*t**(-6))/(t**6*t**10) assuming t is positive.
t**(-8)
Simplify (n**3*n*n/n**(2/5))**(-12) assuming n is positive.
n**(-276/5)
Simplify ((o/o**(-3/5)*o)/o**(-10/7))/((o/(o*o**1))/o)**(1/60) assuming o is positive.
o**(853/210)
Simplify n**(-3/8)*n*n*n**(1/4)*n**14*n**(-3/11)*n assuming n is positive.
n**(1461/88)
Simplify (k**(1/7))**(12/11)/(k/(k**(1/3)*k))**11 assuming k is positive.
k**(883/231)
Simplify ((y**(-6/5)/y)/y*y)**9*y**(-7)*y**3 assuming y is positive.
y**(-119/5)
Simplify (k**(-28)/k**(-28))/(((k/k**21)/k)/(k**(-3/11)*k)) assuming k is positive.
k**(239/11)
Simplify ((v/(v/(v*v/(v/(v*v/(v/(v*(v*v**25)/v*v*v)*v)*v*v))*v)))/(((v**1/v)/v)/v))/((v*v**(2/9))/v*v**(5/11)) assuming v is positive.
v**(3299/99)
Simplify ((u/(u**(-5)*u))/u)**10*(u**(2/7))**(-2/5) assuming u is positive.
u**(1396/35)
Simplify (h**(-2/7)/h)**(18/5)/(h**12*h*h*h**2*h*h) assuming h is positive.
h**(-792/35)
Simplify (u*u**(1/4))**(-44)*(u**4/u*u)**(1/22) assuming u is positive.
u**(-603/11)
Simplify (v**1*v**10*v*v**(-3/2)*v/(v**(2/3)/v))**(-21/4) assuming v is positive.
v**(-497/8)
Simplify (d*((d*d/d**(-1))/d*d*d)/d)**42*(d/(((d*(d/((d**(7/4)*d)/d))/d*d)/d*d)/d))/(d*d**(2/51)) assuming d is positive.
d**(34417/204)
Simplify ((j/(j*j*j**(15/4)*j))/(j*j**(-7/2)))**(2/7) assuming j is positive.
j**(-13/14)
Simplify ((b*b*b**0*b)/b)**(2/23)/(b/b**(7/3)*(b/b**(2/3))/b) assuming b is positive.
b**(50/23)
Simplify ((x**(-1/6)/(x/(x*x**(-1/3)*x*x)))**(-48))**(3/38) assuming x is positive.
x**(-108/19)
Simplify (s*s**(2/11))/((s/(s*s*s**10))/s)*(s/((s/(s**2/s))/s))**(-47) assuming s is positive.
s**(-889/11)
Simplify r/(r*r**(-6))*r*r*r**(-4/9)*(r/(r*r**(-11)))/(r**(1/22)*r) assuming r is positive.
r**(3467/198)
Simplify (o/o**(-9/4)*(o/((o*o/(o*o*o*o*o**(-9/4))*o)/o)*o)/o)/((o*o*o**1/o)/o**3) assuming o is positive.
o**5
Simplify (((l*l**(-2/29))/l)/l**(-15/4))/(l**(2/61)*l**(-4/5)/l*l) assuming l is positive.
l**(157379/35380)
Simplify (x*x**(-2/19)*x*(x*x**(-1/2)*x)/x)/((x/(x**(2/9)/x))/x)**5 assuming x is positive.
x**(-511/342)
Simplify (((x/x**(-15)*x)**(-22))**25)**(-19) assuming x is positive.
x**177650
Simplify ((b**(1/9)*b**(1/6))**(8/5))**8 assuming b is positive.
b**(32/9)
Simplify (q/q**(-14))/(q/q**(-27))*(q/((q/(q/q**(-1/8)))/q))/q*q**17*q assuming q is positive.
q**(49/8)
Simplify ((h**7/(h/h**(-6/7)*h))**(-2/3))**(-1/2) assuming h is positive.
h**(29/21)
Simplify ((w**(-2/3))**(-34)*(w*w/(w/(w/w**(-1/2)))*w)**(4/25))**8 assuming w is positive.
w**(13936/75)
Simplify ((j/(j*j**1)*j)**(-3/7)*j/((j**(-4/5)*j)/j)*j**0/j)**(2/15) assuming j is positive.
j**(8/75)
Simplify (w**(-5/3)/w**(1/19))/(w/((w**(-11)*w)/w)*w/w**8) assuming w is positive.
w**(-383/57)
Simplify (((s/(s**(-2/27)/s))/s)/s**(-1/5))/(s**(1/14)/(s**(2/31)/s)) assuming s is positive.
s**(15653/58590)
Simplify (((v**(-1/6)/v)/v)/v*v/v**4*v)/((v**10*v)/v**(-1/4)) assuming v is positive.
v**(-197/12)
Simplify (((v*(v/v**(1/5))/v)/v)/(v**(1/13)*v))/((v*v*v**(2/5))/v*v/(v/(v/(v*v*(v*v**3*v)/v*v)))*v) assuming v is positive.
v**(151/65)
Simplify (((g/(g/(g/(g*(g/(g*g*g**6))/g*g))))/g)/g**(-2/9)*g/((g/g**4)/g)*(g*g**4/g)/g)**50 assuming g is positive.
g**(6400/9)
Simplify x/(x*x**2)*x*x*x*x**(4/3)*x**(-2/7)/x**(-7) assuming x is positive.
x**(190/21)
Simplify (l/(l**(-5)*l)*l**10)/(((l*l/l**4*l*l)/l)/l)**(-6) assuming l is positive.
l**3
Simplify (l/((l*l**(1/10)/l)/l))/((l*l*l/(l/(l/(l**11*l*l))))/l*l)*l**6/(l**(-1/5)/l) assuming l is positive.
l**(191/10)
Simplify (z/(z*(z**(1/10)*z*z)/z))/z*z*z**(-2/3)*z*z**(-4/11)*z*z*z**(-9) assuming z is positive.
z**(-2683/330)
Simplify (k**(-4/11))**(-7)*((k*k/k**(-3/19)*k*k)/k)/(k**(4/23)*k*k) assuming k is positive.
k**(16966/4807)
Simplify (n/((n*n**(-7/2)/n)/n)*n*n/(n/(n*n**(11/4)))*n*n)**5 assuming n is positive.
n**(245/4)
Simplify (((x*x**14)/((x*x/((((x/(x**(-3/5)*x))/x*x)/x*x)/x)*x)/x))**(-48))**(-41) assuming x is positive.
x**(123984/5)
Simplify ((h/(h*h**1))**(-14/3)/(h**(-3)*h/(h*h/h**(-3/4))))**47 assuming h is positive.
h**(5311/12)
Simplify ((k/(k/(k*k*k**(-10))*k)*k)/k)**(-2/107)*(k/k**(-1/5))/k**(-5) assuming k is positive.
k**(3407/535)
Simplify ((w**(-2/3))**(-9)/((w*(w**5*w)/w*w)/(w*w*w*w/(w*w/(w*w*w**1)))))**(-30) assuming w is positive.
w**(-120)
Simplify (w**34*w**(-5/13))**(-4/21) assuming w is positive.
w**(-1748/273)
Simplify (b**(-2))**(-8/9)/((b/(b/b**5*b))/(b/(b/((b/(b*b**12))/b)))) assuming b is positive.
b**(-137/9)
Simplify (((q/q**(-1/14))/(q
|
{
"pile_set_name": "DM Mathematics"
}
|
k**2 - 190*b**3*g*k**2 + 2*b**2*g**2 - b**2*g*k**2 + b*g**2*k**2 + 1192*b*g*k - 2*g**2*k**2 - 38*k wrt b.
-17004*g**2*k**2 - 1140*g*k**2
Find the second derivative of 3*b**4 + 31*b**3 + 1072*b**2 + 3635776*b wrt b.
36*b**2 + 186*b + 2144
What is the third derivative of -l**6 - 178*l**5 - l**3 + 19*l**2 + 968?
-120*l**3 - 10680*l**2 - 6
What is the first derivative of -2*q*v*z + q*v - 332*q*z + 4*q - v*z + 256*v - z wrt v?
-2*q*z + q - z + 256
Find the second derivative of 76137*i**2*s*w - 2*i**2*s + 2*i**2 + 2*i*s*w + 471*i*s + 33*w wrt i.
152274*s*w - 4*s + 4
Find the third derivative of 10955*t**4 - 4*t**3 - 160*t**2 - 373*t wrt t.
262920*t - 24
Find the third derivative of 4654*o**3*p*w + 3*o**3*p - 2*o**3*w**2 - 3*o**2*p*w**2 - 174*o**2*w - 2*o**2 - 2*o*p*w**2 - 64*p*w**2 wrt o.
27924*p*w + 18*p - 12*w**2
Find the second derivative of 4*c**4 + 6*c**2*g*n - 53*c**2*n + 2*c*g*n + 2*c*g - 247*g*n + 3*n wrt c.
48*c**2 + 12*g*n - 106*n
What is the second derivative of -2417917*d**5 + 2979365*d?
-48358340*d**3
Find the third derivative of -6*d**6 - 927*d**5 - 3*d**4 + 58057*d**2 wrt d.
-720*d**3 - 55620*d**2 - 72*d
What is the third derivative of 531*p**3*x**4 + 20*p**3*x**3 + 2*p**3*x**2 - 11918*p**3 wrt x?
12744*p**3*x + 120*p**3
Find the third derivative of 15*i**4 + 12614*i**3 - 105868*i**2.
360*i + 75684
What is the third derivative of 3*m*r**2*w**3 - m*r**2*w**2 - 7*m*r**2 - 689*m*r*w**3 + 471*r**2 + w**3 wrt w?
18*m*r**2 - 4134*m*r + 6
What is the second derivative of -85*i**3*v**2 - 45*i**3*v + 54116*i*v**2 wrt i?
-510*i*v**2 - 270*i*v
What is the second derivative of 358237*r**3 + r - 172446 wrt r?
2149422*r
Find the third derivative of -89668*d**6 - 29*d**2 - 2*d - 3796.
-10760160*d**3
What is the second derivative of 2*f**2*o + 546*f**2 + 7*f*o + 55*f - 5*o wrt f?
4*o + 1092
Find the third derivative of -5*a*c**3*i - 41*a*c**2*i**2 + 11*a*c**2*i - 2*a*i**2 - 1215*c**3*i**2 + 2*i**2 wrt c.
-30*a*i - 7290*i**2
What is the third derivative of 61*b**5 - 3*b**4 + 27*b**2 - 44*b - 1 wrt b?
3660*b**2 - 72*b
Differentiate -t**3 - 8916*t**2 + 20676 wrt t.
-3*t**2 - 17832*t
What is the second derivative of -2*a*w**3 - 74*a*w**2 - 2*a*w - 22*a - 6*w**3 - 2*w**2 - 111 wrt w?
-12*a*w - 148*a - 36*w - 4
Find the first derivative of -2247968*f**2 - 5800682.
-4495936*f
Find the third derivative of -9*b**5 + 218*b**4 + 22*b**3 + 737923*b**2 wrt b.
-540*b**2 + 5232*b + 132
What is the derivative of -17*b*i - 31457*b*o**3 - 48*i*o + 29*o**3 - 64*o**2 + 2*o - 1 wrt b?
-17*i - 31457*o**3
What is the derivative of -3611*g**2 + 28*g + 113193?
-7222*g + 28
Find the third derivative of 35*r**6 - r**4 + 4*r**3 - 184025*r**2.
4200*r**3 - 24*r + 24
Find the third derivative of 361251*a*k**4 - a*k**2 - 125*a - 30*k**2 + 2*k - 10 wrt k.
8670024*a*k
Find the second derivative of -33*i**2*s**2 + 74*i**2*s + 2*i**2 + 5*i*s**2 - 2*i*s - 26*i + 9*s**2 wrt i.
-66*s**2 + 148*s + 4
What is the derivative of 5*s**4 + 883*s**3 + s**2 + 3*s + 67941 wrt s?
20*s**3 + 2649*s**2 + 2*s + 3
What is the first derivative of -165*b**2 - 452*b + 1208932 wrt b?
-330*b - 452
What is the third derivative of 13704*q**5 - 2*q**3 + 127293*q**2?
822240*q**2 - 12
What is the second derivative of 888582*r**4 - 2*r + 164207 wrt r?
10662984*r**2
Find the second derivative of 2*g**3 - 13058*g**2 - 12192*g + 2 wrt g.
12*g - 26116
What is the third derivative of -428*c**2*n**3 - c**2*n + 23*c*n**2 + 15*c*n - 10*n**3 - 70*n**2 - n wrt n?
-2568*c**2 - 60
What is the first derivative of -42496*k*s**2 - 41426*k wrt s?
-84992*k*s
Differentiate -102*t**4*v**2 + 520*t*v**2 + 1422769*v**2 with respect to t.
-408*t**3*v**2 + 520*v**2
Find the third derivative of -11929*x**3 + 1726*x**2 - 22*x wrt x.
-71574
Differentiate 27*f**3*k**2 + 19*f*k - 4*f + k**2 - 2166*k + 2 wrt f.
81*f**2*k**2 + 19*k - 4
What is the derivative of 66*q**2*r + 31854*q**2 - 11*q*r + 2*q - 528*r - 9 wrt r?
66*q**2 - 11*q - 528
Find the third derivative of 5*c*f**4 - 10*c*f**3 - 2*c*f**2 - 14*c - f**4 - 5*f**3 - 52*f**2 - 1 wrt f.
120*c*f - 60*c - 24*f - 30
Find the first derivative of 54919*l + 104152 wrt l.
54919
What is the third derivative of 3*c**5 + 851*c**4 + 7*c**3 - 3696239*c**2 wrt c?
180*c**2 + 20424*c + 42
What is the third derivative of -5711137*a**3 + 389045*a**2?
-34266822
Find the first derivative of 170668*v - 111549.
170668
What is the second derivative of -p*u**3 + p*u**2 - 2*p*u + p - 162*u**3 + 26*u**2 + 6*u - 1976 wrt u?
-6*p*u + 2*p - 972*u + 52
What is the derivative of 371*q**2*r**3*s - 2*q**2*r**3 - 22*q*s - 4*r**3 - 148755*s wrt q?
742*q*r**3*s - 4*q*r**3 - 22*s
Find the first derivative of -5*p**2 - 188244*p - 4066186.
-10*p - 188244
What is the second derivative of j**5 - 33*j**4 + 4691*j**3 - 2*j + 2003415?
20*j**3 - 396*j**2 + 28146*j
Differentiate -108*c**2*i**3 + c**2*i**2 + 148*c + 451*i**3 - 122 wrt c.
-216*c*i**3 + 2*c*i**2 + 148
Find the second derivative of 250019*t**2 + 133630*t wrt t.
500038
Find the second derivative of -36*p**3*u**2*w - p**3 - 130*p*u**2*w - 4*p*u*w - 600*p*w + u**2 wrt u.
-72*p**3*w - 260*p*w + 2
Find the second derivative of a*j*t*z - 51*a*j*z + 305*a*t**2*z + 4*a*t + 1635*j*t**2 - 2*j*t + 15*j + 15*t*z wrt t.
610*a*z + 3270*j
What is the first derivative of 84720*d**2*w - 117*d**2 - 114*d wrt w?
84720*d**2
Find the second derivative of -76*g**2*n**3 + g**2*n**2 - 77*g**2*n + 38938*g*n**3 + g*n wrt g.
-152*n**3 + 2*n**2 - 154*n
Find the third derivative of 2*d**6*l**3 - 107427*d**3*l*s + 4*d**2*l**3 + d**2*l**2 - 66*d**2 - l**2 + 2*s wrt d.
240*d**3*l**3 - 644562*l*s
What is the third derivative of 51828*h*s**3*y**3 - h*s**2*y**2 + 79*h*s*y**3 - 4*h*y**3 - 8*s**2*y**2 wrt s?
310968*h*y**3
What is the third derivative of 101799*q**3*x**3 - 109675*q**3*x**2 - 2*x**5 wrt x?
610794*q**3 - 120*x**2
Find the second derivative of -h**3 + 14659*h**2 + 8071*h - 9 wrt h.
-6*h + 29318
Differentiate 5*r**2*w - 2*r**2*y - 71720*r*w*y + 38599*r*y + w**3 with respect to w.
5*r**2 - 71720*r*y + 3*w**2
Find the third derivative of -3852834*z**6 + 411358*z**2.
-462340080*z**3
Find the third derivative of -15482*y**3 - 282*y**2 + 13*y + 2 wrt y.
-92892
What is the derivative of 1334810*a - 1920032?
1334810
Find the third derivative of 7*s**3*x**2 + 1340*s**3 - 2*s**2*x**2 - 93*s**2 + 32*s*x**2 - 4*x wrt s.
42*x**2 + 8040
What is the third derivative of -2408401*d**4 - 3782153*d**2 wrt d?
-57801624*d
Find the third derivative of -141871*a**3 - 415599*a**2.
-851226
Find the second derivative of 26696*r*x**2 + r*x - 1956*x wrt x.
53392*r
What is the second derivative of -27*h**4 + 49*h**3 - 3*h**2 + 42172*h?
-324*h**2 + 294*h - 6
Find the second derivative of 130*p*v**3 + 6*p*v**2 + 40235*p*v + 2*v**2 wrt v.
780*p*v + 12*p + 4
What is the second derivative of s**2*t**4 + 3*s**2 + 2766*s*t - 5671*t**5 wrt t?
12*s**2*t**2 - 113420*t**3
What is the second derivative of 36*m**3*o + 318*m**2*o**2 + 2860*m*o**2 + 3*m*o wrt m?
216*m*o + 636*o**2
What is the derivative of 4*h**3*v - 5913*h*v + 10510*v wrt h?
12*h**2*v - 5913*v
What is the derivative of -2*j*k**2*w**2 + 9515*j*k**2*w - 3032*k**2*w**2 - 4*w**2 wrt j?
-2*k**2*w**2 + 9515*k**2*w
Find the second derivative of 101*x**5 - 5*x**4 - 4*x**3 - x**2 - 124435*x.
2020*x**3 - 60*x**2 - 24*x - 2
Differentiate -3*b**3*k - b**2*k**2 + 43724*b*k + 28865*k**2 with respect to b.
-9*b**2*k - 2*b*k**2 + 43724*k
Find the third derivative of 8*c**3*j*v + 3162*c**3*j - 2*c**3*v - 7*c**2*j*v - 26*c**2*j + 253*c*j*v + c*v wrt c.
48*j*v + 18972*j - 12*v
What is the second derivative of 2383572*l**5 - 46049*l - 9?
47671440*l**3
What is the first derivative of 1931*c**4 + 2*c**2*o - 79597*o wrt c?
7724*c**3 + 4*c*o
What is the first derivative of -31615*a*r**2 + 115624*r**2 wrt a?
-31615*r**2
Find the second derivative of 3745111*y**5 + 48645*y + 34 wrt y.
74902220*y**3
Find the third derivative of -2*f**3*h - 1527*f**3*j - 2*f**3 + f**2*h*j + 4*f**2*h - 1233*f**2*j - 5*f*h*j + 2*f - 2*h*j wrt f.
-12*h - 9162*j - 12
Find the third derivative of -788801*q**2*t*u**3 - 49*q**2*u**2 - q**2*u + 97*q*t*u**2 + 12*q*t - 2*q*u**2 - t*u wrt u.
-4732806*q**2*t
Find the first derivative of 27*x*z**2 + 2505*x*z - 628033*x - 2*z**2 - z wrt z.
54*x*z + 2505*x - 4*z - 1
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
ate v.
-2065
Find f such that -4*f**3 - 52*f**2 - 192*f - 144 = 0.
-6, -1
Suppose -3*n**5/11 - 7*n**4/11 + 31*n**3/11 + 47*n**2/11 - 96*n/11 - 36/11 = 0. What is n?
-3, -1/3, 2
Suppose 4*b**2 - 4*b - 24 = 0. Calculate b.
-2, 3
Let -12*m**5 - 9*m**4 + 51*m**3 + 36*m**2 - 12*m = 0. What is m?
-2, -1, 0, 1/4, 2
Factor 5*q**5 + 30*q**4 - 20*q**3 - 120*q**2.
5*q**2*(q - 2)*(q + 2)*(q + 6)
Solve 3*w**5/2 - 9*w**3/2 - 3*w**2 = 0 for w.
-1, 0, 2
Factor 3*q**2/8 + 75*q/8 + 9.
3*(q + 1)*(q + 24)/8
Factor 4*l**2/9 + 416*l/9 + 10816/9.
4*(l + 52)**2/9
Solve 3*v**2/5 + 318*v/5 = 0.
-106, 0
Factor -2*c**2/11 + 340*c/11 - 14450/11.
-2*(c - 85)**2/11
Find o, given that 2*o**2/15 + 428*o/15 - 86/3 = 0.
-215, 1
Factor -105*n**2 - 103*n + 2.
-(n + 1)*(105*n - 2)
Factor 4*s**3 - 476*s**2 + 12348*s + 111132.
4*(s - 63)**2*(s + 7)
Factor -13*i**3/4 + 67*i**2/4 + 17*i - 3.
-(i - 6)*(i + 1)*(13*i - 2)/4
Suppose -2*g**5 + 44*g**4 - 282*g**3 + 440*g**2 - 200*g = 0. Calculate g.
0, 1, 10
Factor -4*w**2 + 456*w.
-4*w*(w - 114)
Let 5*z**2 + 2510*z + 315005 = 0. What is z?
-251
Factor -4*a**3/5 + 171*a**2/5 + 46*a/5 - 129/5.
-(a - 43)*(a + 1)*(4*a - 3)/5
Suppose 3*a**4/8 - 21*a**3/4 + 12*a**2 + 48*a = 0. What is a?
-2, 0, 8
Let -32*t**2 + 582*t - 108 = 0. What is t?
3/16, 18
Determine f so that 2*f**5/13 - 36*f**4/13 + 218*f**3/13 - 504*f**2/13 + 392*f/13 = 0.
0, 2, 7
Determine i, given that 20*i**5 - 185*i**4 - 855*i**3 + 1845*i**2 + 6075*i - 1620 = 0.
-3, 1/4, 3, 12
What is l in 3*l**2/8 + 15*l/4 - 189 = 0?
-28, 18
Suppose 3*g**3/5 + 66*g**2/5 + 363*g/5 = 0. What is g?
-11, 0
Let 4*s**3 + 168*s**2 + 1584*s - 3872 = 0. What is s?
-22, 2
Suppose 38*v**3/11 - 916*v**2/11 + 5568*v/11 - 576/11 = 0. What is v?
2/19, 12
Factor 3*k**2 + 15*k - 312.
3*(k - 8)*(k + 13)
Suppose 2*m**5/5 + 14*m**4/5 + 8*m**3/5 - 24*m**2/5 = 0. What is m?
-6, -2, 0, 1
Find d, given that 5*d**4 - 5*d**3 - 5*d**2 + 5*d = 0.
-1, 0, 1
Factor 4*g**3 + 12*g**2 + 8*g.
4*g*(g + 1)*(g + 2)
Factor -w**3/4 - 11*w**2 + 45*w/4.
-w*(w - 1)*(w + 45)/4
Solve -3*b**5 - 9*b**4 + 39*b**3 + 45*b**2 = 0 for b.
-5, -1, 0, 3
Factor -4*n**3 + 196*n.
-4*n*(n - 7)*(n + 7)
Factor 3*q**3 + 21*q**2 + 36*q.
3*q*(q + 3)*(q + 4)
Determine j so that 3*j**2 + 90*j - 1677 = 0.
-43, 13
Let -4*d**5 + 197*d**4 - 45*d**3 - 197*d**2 + 49*d = 0. What is d?
-1, 0, 1/4, 1, 49
What is l in l**3/4 - 7*l**2/2 + 49*l/4 = 0?
0, 7
Factor -x**4/2 + 3*x**3 + 63*x**2/2 + 52*x + 24.
-(x - 12)*(x + 1)**2*(x + 4)/2
Factor 7*k**3/3 + 32*k**2 + 21*k - 26/3.
(k + 1)*(k + 13)*(7*k - 2)/3
Solve -u**2 - 149*u/7 - 6 = 0 for u.
-21, -2/7
Solve -3*k**2/2 - 27*k/2 + 33 = 0 for k.
-11, 2
Solve -15*l**4/8 + 101343*l**3/4 - 114118974*l**2 + 171361048656*l - 68526162048 = 0 for l.
2/5, 4504
Factor o**5 + 22*o**4 + 41*o**3 + 20*o**2.
o**2*(o + 1)**2*(o + 20)
Factor 2*i**4/3 - 22*i**3/3 - 32*i**2/3 + 640*i/3.
2*i*(i - 8)**2*(i + 5)/3
What is o in 2*o**3 + 164*o**2 + 1062*o + 900 = 0?
-75, -6, -1
What is m in -m**4/6 + 3*m**3 - 17*m**2/6 = 0?
0, 1, 17
Factor -27*d**3/8 + 183*d**2/8 - 15*d - 9/2.
-3*(d - 6)*(d - 1)*(9*d + 2)/8
What is z in 3*z**3/7 + 138*z**2/7 - 285*z/7 + 144/7 = 0?
-48, 1
Factor p**3 - 1062*p**2 + 2121*p - 1060.
(p - 1060)*(p - 1)**2
Let 2*a**2 + 752*a = 0. What is a?
-376, 0
Find i, given that i**5/8 + 9*i**4/8 - i**3/4 - 9*i**2/4 + i/8 + 9/8 = 0.
-9, -1, 1
Suppose -j**3/3 - 71*j**2/3 - 45*j + 69 = 0. What is j?
-69, -3, 1
Determine r so that 4*r**4 + 100*r**3 + 248*r**2 - 352*r = 0.
-22, -4, 0, 1
Solve 2*z**5 - 2*z**4 - 6*z**3 + 2*z**2 + 4*z = 0 for z.
-1, 0, 1, 2
Factor 3*w**4 - 147*w**3 + 1431*w**2 + 3315*w + 1734.
3*(w - 34)*(w - 17)*(w + 1)**2
Factor 74*c**3/5 + 8*c**2/3.
2*c**2*(111*c + 20)/15
Factor 2*q**5/7 - 194*q**4/7 + 382*q**3/7 - 190*q**2/7.
2*q**2*(q - 95)*(q - 1)**2/7
Factor -2*k**4/5 - 176*k**3/5 - 3504*k**2/5 + 16192*k/5 - 16928/5.
-2*(k - 2)**2*(k + 46)**2/5
Find x such that 2*x**5 + 156*x**4 + 3178*x**3 + 4720*x**2 - 19608*x + 11552 = 0.
-38, -4, 1
Factor -2*c**3/5 + 336*c**2/5 - 14442*c/5 + 27556/5.
-2*(c - 83)**2*(c - 2)/5
Let -y**5/6 + 43*y**4/6 - 241*y**3/3 + 199*y**2/3 + 161*y/2 - 147/2 = 0. Calculate y.
-1, 1, 21
Solve -3*a**4/10 - 4*a**3/5 - a**2/10 + 4*a/5 + 2/5 = 0.
-2, -1, -2/3, 1
Find j, given that 2*j**5/19 - 4*j**4/19 - 2*j**3/19 + 4*j**2/19 = 0.
-1, 0, 1, 2
Factor y**5/8 + 9*y**4/8 + 3*y**3/2 - 8*y**2 - 24*y - 18.
(y - 3)*(y + 2)**3*(y + 6)/8
Factor 3*q**2/4 - 201*q/4 + 99/2.
3*(q - 66)*(q - 1)/4
Factor 6*i**2/7 + 236*i/7 + 304/7.
2*(i + 38)*(3*i + 4)/7
Solve q**2/5 - 4*q/5 = 0 for q.
0, 4
Factor 3*z**2/5 - 21*z/5 - 36.
3*(z - 12)*(z + 5)/5
What is y in 2*y**5/3 - 158*y**4/3 - 322*y**3/3 - 54*y**2 = 0?
-1, 0, 81
Factor -2*s**2/7 + 512/7.
-2*(s - 16)*(s + 16)/7
Factor -3*c**2/5 + 6*c/5 + 21.
-3*(c - 7)*(c + 5)/5
Find g, given that -g**2/4 + 111*g/4 + 351/2 = 0.
-6, 117
Let 25*g**4/4 - 60*g**3 + 301*g**2/4 + 75*g/2 + 4 = 0. What is g?
-1/5, 2, 8
Suppose -6*m**3 + 310*m**2/3 - 356*m/3 + 64/3 = 0. Calculate m.
2/9, 1, 16
Factor -5*j**3 - 40*j**2 - 35*j.
-5*j*(j + 1)*(j + 7)
Determine i so that 4*i**2/3 + 140*i + 824/3 = 0.
-103, -2
Factor -2*c**2/13 - 388*c/13 - 18818/13.
-2*(c + 97)**2/13
Find o, given that -4*o**3 + 20*o**2 - 32*o + 16 = 0.
1, 2
Let -3*o**4 + 1692*o**3 + 3*o**2 - 1692*o = 0. What is o?
-1, 0, 1, 564
Factor n**4 + 1580*n**3 + 625677*n**2 + 1245042*n.
n*(n + 2)*(n + 789)**2
Find d, given that -d**5/6 + d**4 + 7*d**3/6 = 0.
-1, 0, 7
Solve 5*w**3 - 75*w**2 - 5*w + 75 = 0 for w.
-1, 1, 15
Suppose -3*o**5 - 81*o**4 + 354*o**3 - 546*o**2 + 369*o - 93 = 0. What is o?
-31, 1
Suppose -6*z**2/5 + 16*z/5 + 32/5 = 0. What is z?
-4/3, 4
Factor 8*p**3 - 5*p**2 - 51*p - 18.
(p - 3)*(p + 2)*(8*p + 3)
Let 3*g**3 + 117*g**2 + 222*g = 0. Calculate g.
-37, -2, 0
Factor 2*o**2/5 + 16*o/5 - 8.
2*(o - 2)*(o + 10)/5
Factor -2*l**3/13 + 366*l**2/13 - 726*l/13 + 362/13.
-2*(l - 181)*(l - 1)**2/13
Let -4*d**5 - 56*d**4 + 4*d**3 + 56*d**2 = 0. Calculate d.
-14, -1, 0, 1
Determine a so that 2*a**2 + 88*a + 936 = 0.
-26, -18
Factor 2*i**3/5 - 20*i**2 + 438*i/5 + 108.
2*(i - 45)*(i - 6)*(i + 1)/5
Solve 3*p**3 - 87*p**2 + 825*p - 2541 = 0 for p.
7, 11
Solve 2*h**2 - 1394*h + 1392 = 0 for h.
1, 696
Factor 2*b**5/3 - 2*b**4 + 4*b**3/3.
2*b**3*(b - 2)*(b - 1)/3
Factor -3*l**2 + 27*l - 42.
-3*(l - 7)*(l - 2)
Find o such that -38*o**4 - 262*o**3 - 124*o**2 + 472*o - 48 = 0.
-6, -2, 2/19, 1
Factor -4*i**3 + 52*i**2 + 116*i + 60.
-4*(i - 15)*(i + 1)**2
What is n in 5*n**2 - 55*n - 60 = 0?
-1, 12
Find x, given that -2*x**5/5 + 52*x**4 + 264*x**3/5 - 52*x**2 - 262*x/5 = 0.
-1, 0, 1, 131
What is v in 2*v**5 + 10*v**4/3 - 124*v**3/3 - 356*v**2/3 - 46*v + 30 = 0?
-3, -1, 1/3, 5
What is f in -f**3/7 - 202*f**2/7 - 1185*f/7 - 252 = 0?
-196, -3
Determine c so that 3*c**3 + 6*c**2 - 297*c = 0.
-11, 0, 9
Solve -5*h**2 - 240*h + 2240 = 0.
-56, 8
Solve 2*j**2 - 2688*j - 2690 = 0 for j.
-1, 1345
Find u, given that 3*u**3 + 12*u**2 - 153*u - 162 = 0.
-9, -1, 6
Determine q so that 3*q**4/5 - 36*q**3/5 - 69*q**2/5 + 414*q/5 - 312/5 = 0.
-4, 1, 2, 13
What is y in 2*y**5 + 20*y**4 - 22*y**3 = 0?
-11, 0, 1
Factor 2*f**2 + 176*f/7 + 96/7.
2*(f + 12)*(7*f + 4)/7
Factor 2*d**5/3 - 68*d**4 + 1734*d**3.
2*d**3*(d - 51)**2/3
Solve -o**2/3 - 110*o/3 + 224/3 = 0 for o.
-112, 2
Find a such that 2*a**2/13 + 384*a/13 - 386/13 = 0.
-193, 1
Suppose 2*m**2 - 1636*m - 3280 = 0. Calculate m.
-2, 820
Solve -5*z**4 - 165*z**3 - 120*z**2 + 1340*z + 1920 = 0 for z.
-32, -2, 3
Solve -3*a**2/8 - 189*a/4 - 11907/8 = 0 for a.
-63
Suppose 5*a**5 - 80*a**4 - 95*a**3 + 170*a**2 = 0. What is a?
-2, 0, 1, 17
Factor 3*n**3 + 12*n**2 - 1716*n.
3*n*(n - 22)*(n + 26)
Factor 3*u**2 + 450*u.
3*u*(u + 150)
Find w, given that w**5/3 - 10*w**4/3 - 4*w**3 + 10*w**2/3 + 11*w/3 = 0.
-1, 0, 1, 11
What is n in -3*n**2 - 399*n - 786 = 0?
-131, -2
Find r, given that 2*r**4 - 228*r**3 - 1440*r**2 - 64*r + 7680 = 0.
-4, 2, 120
Suppose -n**4/4 + 65*n**3/4 - 183*n**2/2 + 179*n - 118 = 0. What is n?
2, 59
Determine m, given that 3*m**3 - 15*m**2 + 12*m = 0.
0, 1, 4
Factor -5*a**3 + 20*a**2 + 45*a - 180.
-5*(a - 4)*(a - 3)*(a + 3)
Factor 3*z**3 + 195*z**2/4 + 423*z/2 + 1107/4.
3*(z + 3)**2*(4*z + 41)/4
Determine g, given that -5*g**4 - 72*g**3 - 93*g**2 - 26*g = 0.
-13, -1, -2/5, 0
Find a such that 4*a**5/9
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{
"pile_set_name": "DM Mathematics"
}
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7*x(q).
6464*q**3
Let b(v) = 2*v**3 + v - 4. Let t(g) = 7*g**3 + 7*g - 27. Determine -35*b(u) + 5*t(u).
-35*u**3 + 5
Let b(i) = -691 - 674 + 1365 - 8*i**2. Let k(f) = f**2. Calculate -b(v) + 6*k(v).
14*v**2
Let r(l) = l + 2. Let k(d) = -4. Suppose -4*v + 5*v = -5*y - 8, 2*y - 13 = 5*v. Let m(t) = y*k(t) + r(t). Let f(c) = -5. Determine -5*f(w) - 4*m(w).
-4*w + 1
Let j(u) = 5*u**2 - 10*u - 5. Let b(m) = 26*m**2 - 52*m - 24. Calculate 3*b(x) - 16*j(x).
-2*x**2 + 4*x + 8
Let x(b) = -1412*b**3 + 3*b**2 - 4*b + 15. Let g(w) = -w**3 + w**2 - w + 3. Calculate 5*g(c) - x(c).
1407*c**3 + 2*c**2 - c
Let v(z) = 19*z + 11. Let q(a) = -47*a - 10. Determine -6*q(l) - 7*v(l).
149*l - 17
Let l(h) = 34*h + 6434. Let q(u) = 10*u + 2144. What is -3*l(p) + 10*q(p)?
-2*p + 2138
Let p(n) = -n**2 - n - 1. Let v(a) = 1 - 2 + 3*a - 4*a - 359*a**2 + 355*a**2. What is 3*p(z) - v(z)?
z**2 - 2*z - 2
Let h(a) = 4*a**2 - 2*a. Let j(l) = -5*l**2 + 10*l. Let q(x) = 3*x**2 - 13*x. Let d(p) = -3*j(p) - 2*q(p). What is -6*d(n) + 11*h(n)?
-10*n**2 + 2*n
Let z(r) be the second derivative of -r**4/12 - r**2/2 - 89*r + 2. Let l(n) = 8*n**2 + 3. What is l(y) + 2*z(y)?
6*y**2 + 1
Let n(i) = -5*i**3 + 14*i**2 - 45*i - 43. Let d(q) = -4*q**3 + 12*q**2 - 38*q - 44. Determine -6*d(y) + 5*n(y).
-y**3 - 2*y**2 + 3*y + 49
Let c(y) = 6*y**2 + 5*y + 3. Let q(t) = -5*t - 1. Let z(v) = -6*v**2 + 34*v + 4. Let u(b) = 8*q(b) + z(b). Calculate -3*c(n) - 2*u(n).
-6*n**2 - 3*n - 1
Suppose 3*i - 113 + 35 = 0. Suppose -12*l = -38*l - i. Let d(k) = -k**3 - 1. Let m(v) = -6*v**3 - v - 2. Determine l*m(p) + 5*d(p).
p**3 + p - 3
Let l(h) = h**2 + 6*h - 10. Let z = 39 + -36. Let k be (z/2 + 0)/((-2)/(-4)). Let o(f) = f - 2*f + 417 - 420 + k*f. Give 2*l(y) - 7*o(y).
2*y**2 - 2*y + 1
Let x(o) = -8*o - 12. Suppose 0 = -131*w - 157*w - 36*w - 7128. Let z(m) = 1. Let k(y) = y. Let f(s) = -k(s) - z(s). What is w*f(v) + 2*x(v)?
6*v - 2
Let v(y) = 31*y - 4. Let z(t) = 32*t - 5. Let g = 13057 - 13052. Determine g*z(c) - 6*v(c).
-26*c - 1
Suppose -2*m = 2*d - 6, -2*d - 4*m - 17 + 31 = 0. Let j(c) = 329*c**3 + 282*c**2 + 282*c - 282. Let h(v) = -v**3 - v**2 - v + 1. Give d*j(w) - 282*h(w).
-47*w**3
Let f(z) = -8*z**2 + 4883*z - 21. Let v(p) = -10*p**2 + 4883*p - 25. Calculate 6*f(w) - 5*v(w).
2*w**2 + 4883*w - 1
Suppose 182*w = 12*w - 1020. Let p(t) = -2*t**2 - 4*t - 6. Let l(n) = -4*n**2 - 7*n - 11. Calculate w*l(m) + 11*p(m).
2*m**2 - 2*m
Suppose 0 = 44*n + 8*n - 572. Let r(s) = 10*s**2 - 4 + 3*s**2 + n*s + 15. Let k(g) = g**2 + g + 1. Determine 22*k(u) - 2*r(u).
-4*u**2
Let z(l) = -13*l + 11576. Let o(i) = 4*i - 3830. Determine -10*o(u) - 3*z(u).
-u + 3572
Let x(h) = 340*h + 110. Let s(u) = -244*u - 73. Calculate -7*s(j) - 5*x(j).
8*j - 39
Let l(k) = -2*k + 11. Suppose 4*i - 4*d = -9*d + 20, -4 = -3*i - d. Suppose i = 89*j - 95*j - 78. Let s = 18 - 24. Let p(n) = n - 5. Give j*p(m) + s*l(m).
-m - 1
Let o(a) = 7*a**2 + a + 6. Let k(s) be the second derivative of 2*s**4/3 + s**3/3 + 7*s**2/2 + 1764*s. What is 3*k(w) - 4*o(w)?
-4*w**2 + 2*w - 3
Let g(h) = -34*h + 241. Let n(l) = 23*l - 164. What is 7*g(y) + 11*n(y)?
15*y - 117
Let y(h) = 7031*h**2 + 4*h - 1. Let k(l) = -2009*l**2 - l. Calculate -18*k(q) - 5*y(q).
1007*q**2 - 2*q + 5
Suppose 13*z + 6*z + 38*z = 171. Let f(u) = -u**3 - u - 4. Let r(v) = -2*v**3 - 4. Let q(i) = -i**3 + i + 1. Let d(b) = q(b) - r(b). Determine z*f(l) + 2*d(l).
-l**3 - l - 2
Let t(g) = -g. Let u(o) be the first derivative of o**3 + o**2 + 729. What is 3*t(h) + u(h)?
3*h**2 - h
Let b(l) = -69 + 31*l - 33*l + 73. Let g(d) = d - 5. Let t be -1*4 - (4 - 4). Determine t*g(n) - 5*b(n).
6*n
Let i(t) = 778 + 780 - 1558 - 31*t**2 + 3*t. Let o(s) = 1022*s**2 - 98*s. What is 98*i(z) + 3*o(z)?
28*z**2
Let p(a) = a**3 + 2*a - 4. Let c(b) = 566*b**3 + 4*b**2 - 7*b + 16. Calculate -c(n) - 4*p(n).
-570*n**3 - 4*n**2 - n
Let j(z) = 13*z**3 + 2*z**2 + 13*z - 2. Let v(i) = 54*i**3 + 8*i**2 + 50*i - 8. Give 9*j(k) - 2*v(k).
9*k**3 + 2*k**2 + 17*k - 2
Let u(a) = -a**3 - 3*a**2 + 234*a - 6. Let m(o) = -o**2 - o - 2. Determine -3*m(b) + u(b).
-b**3 + 237*b
Let o(b) = -4*b**2 + 17*b + 11. Let t = 11 - 22. Let c(x) = -x**2 + 6*x + 4. Let g = 2920 + -2916. Determine g*o(d) + t*c(d).
-5*d**2 + 2*d
Let a(s) be the third derivative of 7*s**4/12 - 5*s**3/6 + 9*s**2 + 287. Let o(u) = -14*u + 4. Determine -5*a(y) - 6*o(y).
14*y + 1
Let k(o) = 3*o - 2*o - 4*o**2 + 6*o. Let n(s) be the first derivative of 2*s**3 + 2*s**2 + 3*s + 57. Let d be n(-1). Let w(u) = -u**2 + u. Give d*w(r) - k(r).
-r**2 - 2*r
Let n(p) = 430*p**3 - 11*p**2 + 3*p. Let l(r) = 86*r**3 - 2*r**2 + r. Determine 11*l(o) - 2*n(o).
86*o**3 + 5*o
Let x(g) = -21 + 44 - 13522*g + 13542*g + 72 - 5. Let k(m) = -1. Calculate 180*k(d) + 2*x(d).
40*d
Let q(c) = 15*c**3 - c**2 - 8*c + 3. Let u(v) = 2*v**3 - v**2 - v + 1. Let z(a) = q(a) - 3*u(a). Let g(k) = -k**3 - k**2 + k. Calculate -2*g(o) - z(o).
-7*o**3 + 3*o
Let s(a) = a**3 + 1. Let w(b) = 2*b**3 - 3 - 3*b**3 + 1. Let r = -21400 - -21405. Let z be 5/(2/(-8)*-2). What is r*w(j) + z*s(j)?
5*j**3
Let o(l) = 20*l**2 - 3*l + 8362. Let p(w) = 6*w**2 - w - 4. Determine -o(u) + 3*p(u).
-2*u**2 - 8374
Let q be (0 - -1) + -11 + 13. Let p(n) = -3*n + 3*n - n - q + 2*n**2. Let a(s) = s**2 - 1. Let d = 2452 - 2450. Calculate d*p(t) - 5*a(t).
-t**2 - 2*t - 1
Let v = -263 - -382. Suppose -15*d - v + 29 = 0. Let i(j) = -12*j**3 - 5*j**2 - 5*j - 5. Let p(y) = -6*y**3 - 3*y**2 - 3*y - 3. What is d*i(b) + 10*p(b)?
12*b**3
Let s(o) = -3*o + 1. Let g(b) be the third derivative of b**5/60 + b**4/4 - b**3/2 + 4*b**2 + 214*b - 1. What is -4*g(u) - 9*s(u)?
-4*u**2 + 3*u + 3
Let o(s) = -69*s**3 - 4*s + 5. Let i(q) = 17*q**3 + q - 1. Suppose 3*t = -14*t - 34. Calculate t*o(k) - 9*i(k).
-15*k**3 - k - 1
Let s(j) = -7*j + 1. Let r(n) = -6*n. Let o(t) = -3*r(t) + 2*s(t). Let q(d) be the first derivative of -5*d**2/2 - d + 4783. Determine 3*o(b) + 2*q(b).
2*b + 4
Let m = 9946 - 9947. Let w(v) = -v + 1. Let p(k) = -2*k**2 + 0*k**2 - 10*k + 0*k**2 + 8. What is m*p(a) + 8*w(a)?
2*a**2 + 2*a
Let r(p) be the first derivative of 3*p**2 + 2*p + 5466. Let s(c) = 3*c + 1. Let t(v) = v**2 + 6*v - 13. Let m be t(-8). Give m*r(u) - 5*s(u).
3*u + 1
Let q(d) = 102016*d**3 + 88*d**2 - 88*d - 44. Let z(r) = 6801*r**3 + 6*r**2 - 6*r - 3. Calculate -6*q(v) + 88*z(v).
-13608*v**3
Let x(z) be the second derivative of z**5/2 + z**4/12 - 2*z**3/3 + 5*z**2/2 - 3339*z. Let g(u) = -5*u**3 - u**2 + 2*u - 2. Calculate -5*g(r) - 2*x(r).
5*r**3 + 3*r**2 - 2*r
Let p(x) = -13*x**3 - 23*x**2 + 19*x - 9. Let q(r) = 11*r**3 + 21*r**2 - 17*r + 7. What is 4*p(s) + 5*q(s)?
3*s**3 + 13*s**2 - 9*s - 1
Let f(b) = -18847*b**3 - 6*b**2 - 24*b - 6. Let j(o) = 3*o**3 + o**2 + 4*o + 1. Calculate f(a) + 6*j(a).
-18829*a**3
Let v(c) = 3*c**3 + 5*c**2 - 39*c - 57. Let x(d) = -4*d**3 - 7*d**2 + 55*d + 86. Determine 7*v(p) + 5*x(p).
p**3 + 2*p + 31
Let o(x) = -3*x**2 + 7*x + 1. Let k = 6706 + -6707. Let r(q) = q. What is k*o(v) + 6*r(v)?
3*v**2 - v - 1
Let i(w) = -w**3 + 9*w**2 - 3*w - 3492. Let g(d) = -6*d**2 + 2*d + 3491. What is 3*g(b) + 2*i(b)?
-2*b**3 + 3489
Let k(q) = -1 - q**2 - 1 - 3*q**2. Let h(t) = -46 + 46 - t**2. Let i be -12 - -20 - 1 - 8/1. What is i*k(z) + 3*h(z)?
z**2 + 2
Let t(s) be the second derivative of -s**4/4 - s**3 - 5*s**2/2 - s. Suppose 0 = -289*q + 258*q + 155. Let k(r) = 2*r**2 + 4*r + 3. Calculate q*t(a) + 8*k(a).
a**2 + 2*a - 1
Let g(o) = o - 1. Suppose 3*n - 98 = -3*s + n, -5*s + 159 = -n. Let q(v) = -s*v + 10 + 8*v**2 + 35 - 13. Determine 32*g(u) + q(u).
8*u**2
Let h = -27 + -73. Let n be 6/((-4)/(h/15)). Let z(d) = -12*d + 2. Let r(u) = 6*u + 3*u - 8*u. What is n*r(m) + z(m)?
-2*m + 2
Let x(v) = 10*v**2 + 0*v - 5*v**2 - 6*v**2 - 2*v + 1 + 3*v. Let l(h) = -h**3 - 5*h**2 + 3*h + 8. Suppose -9*b + 16 = -11. Determine b*x(r) - l(r).
r**3 + 2*r**2 - 5
Suppose -2*i = -67 + 73, 0 = 4*j - i + 33. Let o(y) = -13*y**2 + 2*y - 4. Let b(p) = -27*p**2 + 5*p - 9. Determine j*o(w) + 4*b(w).
9*w**2 + 2*w
Let j(l) = -1508*l - 270. Let y(n) = 302*n + 57. Determine -3*j(v) - 14*y(v).
296*v + 12
Let t(k) = k. Let r(l) = -7*l - 2. Suppose 258 = 64*o + 2. What is o*t(u) + r(u)?
-3*u - 2
Let u(b) = -4*b**2 - 6*b + 372. Let w(k) = -2*k**2 - 3*k + 185. Calculate 5*u(t) - 11*w(
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{
"pile_set_name": "DM Mathematics"
}
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Let u(c) be the third derivative of t(c). Find the second derivative of u(y) wrt y.
-24*y
Let a(u) be the first derivative of 10*u**7/7 - 8*u**3/3 - 11. What is the third derivative of a(o) wrt o?
1200*o**3
What is the derivative of -38 + 85 + 41*d**3 - 23 wrt d?
123*d**2
Let a(z) = -z + 1. Let n be a(-4). Suppose 0 = 2*i - 4*o - 20, 0*o + 14 = -3*i - n*o. What is the third derivative of -i*l**2 + 5*l + l**3 - 5*l wrt l?
6
Let k(g) be the third derivative of -7*g**6/20 + g**5/30 + 11*g**4/24 - 10*g**2. What is the third derivative of k(z) wrt z?
-252
Let o(h) = h**2 + h + 3. Suppose 0*c = -c. Let g be o(c). What is the third derivative of -w**3 - w**2 + 0*w**2 + 3*w**g wrt w?
12
Let k be 3 + (1 + -4 - -2). Let m(o) = -6*o**2 + 2*o + 1. Let r(s) = -s**2 + s. Let t(v) = k*r(v) - m(v). Differentiate t(f) wrt f.
8*f
Suppose -2*j = t + 8, -4*t + 2 - 1 = -3*j. Let a = 4 + t. Differentiate 4*q**2 - 2 - 5*q**a + 3 wrt q.
-2*q
Let m(x) = -13*x**6 + 4*x**5 + 4*x**3 + 16*x**2 - 4. Let c(r) = -r**6 - r**5 - r**3 + 1. Let s(v) = 4*c(v) + m(v). What is the third derivative of s(u) wrt u?
-2040*u**3
Let t(n) be the third derivative of 0*n - 1/8*n**4 + 7/60*n**5 + 0 - n**2 + 0*n**3. What is the second derivative of t(j) wrt j?
14
Let m(k) be the first derivative of -k**6/2 - 11*k**2/2 + 10. Find the second derivative of m(h) wrt h.
-60*h**3
Find the third derivative of -14*t**2 - 21*t**6 + 42*t**6 - 82*t**6 - 32*t**2 wrt t.
-7320*t**3
Let t(n) be the second derivative of -9*n**8/56 + n**4/6 + 16*n. What is the third derivative of t(l) wrt l?
-1080*l**3
Let y(t) be the third derivative of -t**9/2160 + t**5/40 - t**4/12 - 2*t**2. Let a(k) be the second derivative of y(k). Differentiate a(n) wrt n.
-28*n**3
Let a(y) = y - 1. Let w be a(5). Let c = 6 - w. What is the derivative of 3 - c*x + 0 + 1 + 0 wrt x?
-2
Let m(y) be the third derivative of -11*y**5/30 - 43*y**4/24 - 12*y**2. What is the second derivative of m(h) wrt h?
-44
Let m(k) be the second derivative of 0*k**4 + 1/2*k**3 - 1/42*k**7 + 0*k**6 + 0*k**5 + 0*k**2 - 3*k + 0. What is the second derivative of m(x) wrt x?
-20*x**3
Let b(h) be the second derivative of h**3/2 - h**2 - 2*h. Differentiate b(u) wrt u.
3
Suppose -2*m = 2*t + 12, 0*m = 2*t - 3*m - 8. Let q = t - -3. Find the first derivative of 4 - 4 - q + w**2 wrt w.
2*w
Let f(a) be the first derivative of 0*a + 5 - 8/5*a**5 - a**2 + 0*a**3 + 0*a**4. What is the second derivative of f(r) wrt r?
-96*r**2
Suppose i = 3*i - 6. Find the second derivative of 6*a + 3*a**2 - 5*a + i*a wrt a.
6
Find the second derivative of -11*c**2 - 15*c - 25 - 5*c**2 + 25 wrt c.
-32
Suppose -4 = 2*w - 6. Let h be 3 - 0*(-2)/4. Find the third derivative of 1 - w - h*a**2 + a**6 wrt a.
120*a**3
Let u(n) be the first derivative of -5*n**2/2 + 7*n + 8. Find the first derivative of u(h) wrt h.
-5
Let a(z) = -4*z**4 + 3*z**3 - 3*z**2 - 3. Let u(p) = p**3 - 1. Let s(t) = -a(t) + 3*u(t). What is the third derivative of s(v) wrt v?
96*v
Let o(y) be the second derivative of y**7/6 + 5*y**3/2 + 15*y. Find the second derivative of o(c) wrt c.
140*c**3
Suppose -5*x - 1 + 11 = 0. What is the first derivative of y**4 - y**4 + 5 - x - 2*y**4 wrt y?
-8*y**3
What is the derivative of -27*u**2 - 23*u**2 + 34*u**2 - 4 wrt u?
-32*u
Let o(u) = 10 + 3 - 2*u + 3*u. Let z be o(-10). What is the third derivative of -2*w**4 + w**2 - 4*w**z + 4*w**3 wrt w?
-48*w
Suppose 2*f = f + 2. Let r be f*6/8*2. Find the second derivative of -r*l + l + l**2 + l**2 - l wrt l.
4
Let y(x) be the third derivative of 2*x**7/21 - 7*x**5/15 - x**2 + 12*x. What is the third derivative of y(f) wrt f?
480*f
What is the second derivative of -7*t**5 - 867 - 6*t + 867 wrt t?
-140*t**3
Let j = -5 - -10. Suppose n + 0*n = j. What is the second derivative of 3*m**5 - 3*m**5 - m - 4*m**n wrt m?
-80*m**3
Let c(g) be the second derivative of g**8/840 + g**6/180 - g**3/3 - 2*g. Let a(i) be the second derivative of c(i). Find the third derivative of a(j) wrt j.
48*j
Let r(y) be the first derivative of -4 + 0*y**6 + 0*y + 0*y**5 + 4/7*y**7 + 0*y**2 + 1/3*y**3 + 0*y**4. Find the third derivative of r(j) wrt j.
480*j**3
Let y(i) be the first derivative of 3 + 4*i**2 - 4*i - i**2 + 2*i - 2*i**2. What is the derivative of y(c) wrt c?
2
Suppose 0 = 2*m + 5*n + 19, 0*m - 5*n - 10 = 5*m. Let a = -4 - -8. Find the first derivative of 2 + m*l - a - l wrt l.
2
Let p = -4 - -6. Find the third derivative of o**5 + 0*o**5 - 5*o**p + 2*o**2 wrt o.
60*o**2
Let v(w) be the third derivative of 7*w**6/120 - w**4/24 + w**2. Find the second derivative of v(d) wrt d.
42*d
Let i(h) = -h - 1. Let b(o) be the second derivative of -3*o**3/2 - 15*o**2/2 + o. Let s = -16 - -15. Let y(p) = s*b(p) + 12*i(p). Differentiate y(l) wrt l.
-3
What is the third derivative of -9*y**2 + 27*y**3 + y**2 - 21*y**3 wrt y?
36
Let k(d) = -d**3 + 10*d**2 - 2*d + 12. Let m be k(10). Let b be 3/(-2)*m/6. Find the third derivative of -5*x**2 + 3*x**4 + x**2 + x**b wrt x.
72*x
Let m(t) = 6*t**3 + 7*t**2 + 7*t + 9. Let f(d) = -5*d**3 - 6*d**2 - 6*d - 8. Let i = -5 - -11. Let z(s) = i*m(s) + 7*f(s). Differentiate z(g) wrt g.
3*g**2
Let g(n) be the first derivative of -n**4/6 - n**3/3 + 2*n + 2. Let v(m) be the first derivative of g(m). Find the second derivative of v(d) wrt d.
-4
Let y(u) = -u**3 + 5*u**2 + 5*u + 8. Let l(q) = q**3 - 4*q**2 - 4*q - 7. Let n(m) = -5*l(m) - 4*y(m). What is the first derivative of n(v) wrt v?
-3*v**2
Let r be 14/(-10) - 10/(-25). Let j(m) = -3*m + 1. Let c be j(r). Differentiate 4*n**c + n**3 + 2 - n**3 wrt n.
16*n**3
Let o(u) be the first derivative of -u**8/840 + 5*u**4/24 - 5*u**3/3 + 1. Let b(h) be the third derivative of o(h). Find the first derivative of b(f) wrt f.
-8*f**3
Suppose -4*p + 27 = 3*h, 40 = 5*h - 2*p + 7*p. Suppose -h*z - 25 = -5*v, 0*v + 5 = v + 5*z. What is the first derivative of -3 + v - 2*y**2 + y**2 wrt y?
-2*y
Let k(p) be the second derivative of 7*p**4/4 + 53*p**2/2 + 4*p - 10. Differentiate k(o) wrt o.
42*o
Let i(v) = v**3 - v**2 + v. Let f be i(1). Find the first derivative of -f + 2*t**4 + 0 - 5*t**4 wrt t.
-12*t**3
Let z(a) = 16*a**5 + 5*a**3 - 9*a**2 - 5. Let t(w) = 24*w**5 + 8*w**3 - 13*w**2 - 8. Let m(h) = -5*t(h) + 8*z(h). Find the third derivative of m(o) wrt o.
480*o**2
Let b(r) = 15*r - 2. Let m be b(3). Find the third derivative of 5*g**5 + m*g**2 - g**4 + g**4 - 45*g**2 wrt g.
300*g**2
Let i = 1 - -11. Let p = 20 - i. What is the third derivative of -2*n**6 - p*n + 8*n - n**2 wrt n?
-240*n**3
Let y(v) be the third derivative of -5*v**8/112 + v**5/30 - 2*v**2. Find the third derivative of y(x) wrt x.
-900*x**2
Let i(n) = 2*n - 3. Let h = -7 + 10. Let q be i(h). What is the third derivative of 0*d**3 + 4*d**2 + d**q + d**3 - d**3 wrt d?
6
Let p(t) be the first derivative of 4 + 5/2*t**2 + 7*t. Find the first derivative of p(x) wrt x.
5
What is the first derivative of -2*s**2 + 0*s**2 + 4 + s**2 wrt s?
-2*s
Find the second derivative of -1 + 0 - 12*n + 1 - 15*n**4 wrt n.
-180*n**2
Find the third derivative of -5*y**5 - y**2 + 0*y + 5*y - 5*y wrt y.
-300*y**2
Let m = 3 - 0. Suppose 0 = 4*w - v - 10, -2*v + 7 + 6 = m*w. Find the second derivative of w*c + c**3 + c**3 - 2*c wrt c.
12*c
Let m = -3 + 5. Find the third derivative of -3*g**2 + 0 + 2*g**m + 0 + 3*g**3 wrt g.
18
Let v(o) be the third derivative of -o**4/2 + 5*o**3/3 - 11*o**2. Differentiate v(m) with respect to m.
-12
Let o(a) be the first derivative of a**7/420 - a**4/12 - a**3 - 1. Let q(i) be the third derivative of o(i). Find the first derivative of q(d) wrt d.
6*d**2
Let k(t) be the first derivative of 13*t**4/4 - 26*t + 29. What is the first derivative of k(m) wrt m?
39*m**2
Suppose 2*r - 6 = -6*j + 2*j, 3*r = -j - 1. Let s(x) be the first derivative of -j + x**2 - 1/3*x**3 + 0*x. What is the second derivative of s(h) wrt h?
-2
What is the first derivative of 0*v + v + 1 - v + 2*v**3 wrt v?
6*v**2
Let z(b) = -b**4 - 5*b**3 + 5*b + 4. Let h(m) = -3 + m**3 + 0*m**3 + 2 + 5*m - 6*m. Let v(p) = 5*h(p) + z(p). Differentiate v(x) wrt x.
-4*x**3
What is the derivative of 8*m**2 + 4 + 2 - 11 wrt m?
16*m
Let o(y) = y - 3. Let w be o(5). What is the first derivative of 6 + 4 - 9 + 5*d**w - 2*d**2 wrt d?
6*d
Let h(k) be the second derivative of 0*k**5 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + 10306*m wrt m.
2400*m**3 - 6*m
What is the derivative of -4*g*s + g + 4*q*s**4 + 6*q - s**4 wrt s?
-4*g + 16*q*s**3 - 4*s**3
Find the second derivative of 18227*v**3 + 14278*v.
109362*v
Find the second derivative of -16*k**4*m + 36*k**3*m + 14*k*m - 77 wrt k.
-192*k**2*m + 216*k*m
Find the second derivative of -1792*v**2 - v + 509 wrt v.
-3584
What is the third derivative of 3*a**6 - 107*a**4 + 23*a**2 wrt a?
360*a**3 - 2568*a
What is the first derivative of 103*l**2*r + 1515*l**2 wrt r?
103*l**2
What is the third derivative of -3*z**4 + 477*z**3 + 9489*z**2?
-72*z + 2862
Find the second derivative of i**3*s**3 + 2*i**3*s - 2*i**2*m + i*m*s**3 - i*m - 6*m*s**2 + 3*m*s - 7*s**2 wrt s.
6*i**3*s + 6*i*m*s - 12*m - 14
Find the third derivative of 175*l**3*z - 4*l**3 + 59*l**2*z + 96*l*z wrt l.
1050*z - 24
Find the second derivative of -19*a**3*t**2 + 2*a**3*t + 28*a**2*t**2 - 85*a wrt t.
-38*a**3 + 56*a**2
Find the third derivative of 10*b**3*n**2*u + 6*b**3*n**2 + 3*b**3*n*u + 4*b**2*u - 11*b*u + 3*n**2*u wrt b.
60*n**2*u + 36*n**2 + 18*n*u
Differentiate 6*a**4*d**3 + 253*a**4*d**2 + 2*d**3 + 2*d**2 + 2212 with respect to a.
24*a**3*d**3 + 1012*a**3*d**2
Find the third derivative of -11*f**5*y - 2*f**3*y**3 - 38*f**2*y**3 wrt f.
-660*f**2*y - 12*y**3
Differentiate 137*a*j**3*q**2 + 1820*a*q**2 - 2*j**3*q**2 wrt j.
411*a*j**2*q**2 - 6*j**2*q**2
What is the first derivative of -350*h**2 - 8*h - 16683?
-700*h - 8
What is the third derivative of 3*f**2*m*r + f**2*r**3 - 3*f*m*r**3 + 5*f*m*r**2 - 34*m**2*r**3 + m**2 - 3*m*r wrt r?
6*f**2 - 18*f*m - 204*m**2
Differentiate 27*q**2*u**2 - q**2 - 120*q*u**2 - 18467*u**2 with respect to q.
54*q*u**2 - 2*q - 120*u**2
What is the third derivative of 21240*f*z**4 - 2118*f*z**2 wrt z?
509760*f*z
What is the third derivative of 175*v**6 - 26*v**2 - 25 wrt v?
21000*v**3
What is the derivative of -38*f**4 - 5*f + 427?
-152*f**3 - 5
What is the third derivative of 1812*h**2*i**4 - 2*h**2*i**2 - 406*h*i**2 - 2*i**3 - 2 wrt i?
43488*h**2*i - 12
What is the third derivative of -479*f**5 + 81*f**2?
-28740*f**2
Differentiate 963*w - 6130.
963
Find the third derivative of 4244*i**3*z**2 - 5*i**3 + 247*i**2 - 10*i*z - 4*z**2 wrt i.
25464*z**2 - 30
What is the second derivative of 2975*u**2*x + 4*u*x - 5*u - 2*x wrt u?
5950*x
Find the second derivative of 9*t**3*y**3 + t**3*y**2 - t*y**2 + t - 14*y**3 wrt t.
54*t*y**3 + 6*t*y**2
Find the second derivative of -4*o*w**2 + 191*o*w - 10*w**2 - 2*w wrt w.
-8*o - 20
What is the derivative of -220*m**3 - 85 wrt m?
-660*m**2
Differentiate -14*m**3 + 29*m**2 + 6*m + 4597 with respect to m.
-42*m**2 + 58*m + 6
What is the first derivative of -14*l**2 + l*n + 21*l + 2*n - 1596 wrt l?
-28*l + n + 21
What is the second derivative of -49*k**4 + 4*k**2 + 3*k - 91?
-588*k**2 + 8
Find the third derivative of 198*a*u**4 + 2*a*u**2 + 18*a + 2*u**5 + u wrt u.
4752*a*u + 120*u**2
Find the third derivative of -2*x**6 - 2*x**4 + 1422*x**3 - 132*x**2 - x.
-240*x**3 - 48*x + 8532
Find the second derivative of 144*t**2 + 7*t wrt t.
288
What is the second derivative of 323*f**2*j**2 - f**2*j + f*j**3 + 10*f*j - 4*j wrt j?
646*f**2 + 6*f*j
What is the derivative of 28*j**3*k**3*n + 3*j*n - k**3*n - 335*k*n wrt j?
84*j**2*k**3*n + 3*n
What is the second derivative of 9*o**2 - 2*o - 20?
18
What is the third derivative of 891*h**3*o**2 - 4*h**2 - 227*h*o**2 wrt h?
5346*o**2
Find the second derivative of -561*i**2*v**2 + i**2*v + 9*i**2 - i wrt v.
-1122*i**2
What is the second derivative of 47*h**2*o**2 - h**2 + 2*h*o**2 + 20*h*o + 3*o wrt o?
94*h**2 + 4*h
What is the second derivative of 268*m**3*y**3 - 2*m*y + y**3 + 10 wrt m?
1608*m*y**3
What is the second derivative of -2*d**5 + 356*d**3 - 407*d?
-40*d**3 + 2136*d
What is the first derivative of -3238*l + 9177?
-3238
Find the third derivative of 5753*d**4 - 2*d**2 + 612.
138072*d
What is the first derivative of -8*s*u + 32*s + 2*u**4 - 9*u wrt u?
-8*s + 8*u**3 - 9
Differentiate 2*h**3*i**2*m**2 - 5*h**3*m**2 + 2*h**3 + 13*h**2*i**2 - h*i**2 wrt m.
4*h**3*i**2*m - 10*h**3*m
What is the third derivative of 96*o**5*s + 2*o**4*s**2 + 168*o**2*s**2 wrt o?
5760*o**2*s + 48*o*s**2
What is the derivative of -4*l**2*n - l**2 - 13*l*n + 25 wrt n?
-4*l**2 - 13*l
Find the third derivative of 2*v**6 - v**4 - 1635*v**3 - 2*v**2 + 186*v + 3.
240*v**3 - 24*v - 9810
What is the second derivative of 2*h**2*v - 65*h**2 - h*v + 56*h + 3*v wrt h?
4*v - 130
Find the second derivative of 97*q**4 + q**3 - 21*q wrt q.
1164*q**2 + 6*q
What is the derivative of 19*n**4 - 111?
76*n**3
What is the derivative of j**3*n*q - j**3*n*w + j**3*n - 2*j**3*q + 160*j**2*q*w - 2*j*n*w + 31*j*w wrt q?
j**3*n - 2*j**3 + 160*j**2*w
Find the first derivative of 6*b**2*h**3 - 2*b**2 - 3*b*h**2 - 296*h**3 wrt b.
12*b*h**3 - 4*b - 3*h**2
Find the third derivative of 3*n**4*p**3 - 2*n**4 + 8*n**3*p**2 + n**2*p**2 + n*p**3 + 2*p**3 wrt n.
72*n*p**3 - 48*n + 48*p**2
Find the third derivative of -12241*m**4 + 990*m**2 + 4.
-293784*m
What is the derivative of -7465*j - 12034?
-7465
What is the first derivative of b*g**2 - 6596*b + 2861*g**4 wrt g?
2*b*g + 11444*g**3
Find the first derivative of -260*n**2*p*t*u + n**2*p - 7*n*p*t*u + 28*n*p - 9*t wrt u.
-260*n**2*p*t - 7*n*p*t
What is the third derivative of 5*m**6 - 9*m**3 + 664*m**2 wrt m?
600*m**3 - 54
Find the third derivative of -910*u**6 - u**2 + 123.
-109200*u**3
Differentiate -7785*w**3 + 1683 wrt w.
-23355*w**2
What is the third derivative of -5*n**2*o**4 - 7*n**2*o**2 + 22*n*o**5 + 5*n*o**2 - n wrt o?
-120*n**2*o + 1320*n*o**2
Find the first derivative of -2915*j + 5090 wrt j.
-2915
Find the second derivative of 5*n**3*u - 60*n**3 - 13*n*u + 47*u wrt n.
30*n*u - 360*n
What is the derivative of -24201*j - 20128 wrt j?
-24201
What is the third derivative of -h**5 - 30*h**4*v + 10*h**4 + 177*h**2 + 29*h*v wrt h?
-60*h**2 - 720*h*v + 240*h
Find the third derivative of 2340*c**3 - 6*c**2 - 26*c.
14040
Differentiate -23*d**3*x + 512*d**3 - 10*d**2*x**3 wrt x.
-23*d**3 - 30*d**2*x**2
What is the second derivative of 266*o**5 - 487*o wrt o?
5320*o**3
What is the second derivative of -b**5 + 3*b**2 + 97*b wrt b?
-20*b**3 + 6
What is the derivative of -505*g**3 + 267?
-1515*g**2
What is the second derivative of -2*h**2*p**2 + 5*h**2*p - 113*h*p**3 - 6*p wrt p?
-4*h**2 - 678*h*p
What is the third derivative of -9425*b**3*q**2 + b**2*q**2 - 3*b**2 + 2*b*q**2 - 27*q wrt b?
-56550*q**2
Find the third derivative of 7*k**6*y + 13*k**5*y**3 - 11*k**2*y - 2*k*y**3 wrt k.
840*k**3*y + 780*k**2*y**3
Find the second derivative of 3406*r**2 + 66*r + 6.
6812
What is the second derivative of 59*p*z**5 - 24*p*z**3 + 46*p*z + 15 wrt z?
1180*p*z**3 - 144*p*z
What is the third derivative of g**2*v**5 + 9*g**2 - 591*g*v**2 - 285*v**4 wrt v?
60*g**2*v**2 - 6840*v
What is the second derivative of q*s**2*u**3*z + q*s**2*u**2 + 2*q*s*u + 11*q*u**2 - 2*q*u*z + 23*s**2*u*z + 2*s*u**3*z - 4*s*u**3 + 2*s*u*z wrt s?
2*q*u**3*z + 2*q*u**2 + 46*u*z
What is the second derivative of -8*r**2*u**3 + 2*r**2*u**2 + 150*r**2*u wrt u?
-48*r**2*u + 4*r**2
Differentiate -30*i**2 - 12*i + 11196 with respect to i.
-60*i - 12
What is the second derivative of 2*r**3 - 6*r**2*t**2 - 162*r*t**2 wrt r?
12*r - 12*t**2
What is the first derivative of 25*y**4 + 3*y**2 - 138 wrt y?
100*y**3 + 6*y
What is the derivative of -1188*g**2 - g - 2541?
-2376*g - 1
Find the third derivative of 1310*j**3 - 53*j**2 - 3*j wrt j.
7860
What is the third derivative of b**3*l*r**2 + 259*b**3*l*r*x + 4*b**2*l*r**2*x + 11*b**2*l*r*x + l wrt b?
6*l*r**2 + 1554*l*r*x
What is the third derivative of -p*y**4 + 61*p*y**3 - 2*p*y**2 - 2*p*y - 4*p - 6*y**4 + 2*y**3 - 19*y**2 wrt y?
-24*p*y + 366*p - 144*y + 12
What is the second derivative of -2153*o**2*q**2 + 1312*o*q**2 wrt o?
-4306*q**2
What is the third derivative of -8*b**4*j*l - 32*b**4*l - b**3*l**2 - b**2*j*l - 3*b**2 + b*j*l - b*l**2 + 16*j*l**2 wrt b?
-192*b*j*l - 768*b*l - 6*l**2
What is the derivative of 6*w**2 + 165*w - 27 wrt w?
12*w + 165
Find the first derivative of -c**3*i*t - 60*c**3*t + 3*c**3*u + 3*c**2*i*t*u - 598*i*u wrt i.
-c**3*t + 3*c**2*t*u - 598*u
Find the second derivative of 2*k**4*v - 296*k**4 + 428*k + 2*v wrt k.
24*k**2*v - 3552*k**2
|
{
"pile_set_name": "DM Mathematics"
}
|
= -677 + 681. What is v(l)?
19
Let t(z) = z**3 - 9*z**2 + 4*z + 7. Let q(y) be the first derivative of y**3/3 + 18. Let w(o) = 2*q(o) + t(o). Calculate w(6).
-5
Let q(s) = s**2 - 6*s - 2. Let f = 317 - 312. What is q(f)?
-7
Let s(j) = 2*j + 0*j**2 - 3*j - 6*j**3 - 2*j**2. Let h(p) = -3*p**2 - 38*p - 25. Let v be h(-12). Determine s(v).
5
Let r(c) = -15*c**2 + 3*c + 24 + 20*c**2 - c**3 - 15*c**2. Determine r(-10).
-6
Let i(d) = 1 + d**2 + 5*d + 4 + 1. Suppose z - 10 = 10. Let l = 15 - z. Determine i(l).
6
Let v(n) be the first derivative of n**2/2 - 7*n - 1. Suppose -30*z + 3*g + 7 = -29*z, -5*g + 15 = z. Give v(z).
3
Let a = -13 - -13. Let n(g) = 2*g - g**3 + a*g**3 + g**2 + g**2 - g**2. Let y(k) = k**2 + 5*k + 6. Let o be y(-4). Determine n(o).
0
Let w(y) = y**2 + 5*y - 2. Let h(a) = a - 6. Let f be h(14). Suppose f*d = -47 + 7. Calculate w(d).
-2
Let l(p) = -p**3 - 7*p**2 - 6*p - 3. Let j be l(-6). Let q = 7 - 5. Let f(u) = 2*u + 4 + 2*u + 2*u**2 + u**2 - q*u**2. What is f(j)?
1
Let x be (-2)/4*20/10. Let d(p) = 10*p**3 + 2*p**2 - 3*p - 4. Let t be d(x). Let b(k) = -k**3 - 9*k**2 + k - 11. What is b(t)?
-20
Suppose 5*y - d = -25, -4*y + 8*y = 3*d - 31. Let a(r) = 2*r**2 - 3*r + 4. Determine a(y).
48
Let l(n) = -45*n**2 - n**3 + 2 + 1 + 19*n**2 + 3*n**3 + 28*n**2. Determine l(-3).
-33
Suppose 8 = -2*r + y - 2*y, 0 = y + 4. Let p(h) = -2*h + 1. Calculate p(r).
5
Let h(u) = 11*u**2 + 11 - 10 - 2*u - 9*u**2 + 3*u + u. Let s(g) = 2*g - 2. Let x be s(6). Suppose 4*a = -a - x. Calculate h(a).
5
Let t(d) = -d + d**2 + 632*d**3 - 1266*d**3 - 1 + 632*d**3. What is t(2)?
-15
Suppose v + 4*v + 15 = 0. Let b(q) be the second derivative of q**5/20 + q**4/6 - q**3/2 - 2*q**2 - 3*q. Determine b(v).
-4
Let v(n) = 41*n + 24. Let i(u) = 8*u + 5. Let k(j) = 11*i(j) - 2*v(j). Let z(c) = c + 1. Let b(r) = 6*k(r) - 34*z(r). What is b(-6)?
-4
Let b(n) be the first derivative of -n**3/6 + 3*n**2/2 + 2*n - 30. Let c(a) be the first derivative of b(a). What is c(8)?
-5
Let j(d) = -3*d**2 - 3*d + 3. Let p = 58 + -57. Suppose 5*b - 14 = -2*v, 3*v + 4 + p = -b. What is j(v)?
-15
Let g be ((-72)/60)/((-7)/(-10) - 1). Suppose g*p - 46 = -5*r, -2*r + 2*p + 32 = r. Let k(s) = s**2 - 9*s - 4. Give k(r).
6
Let u = 480 - 487. Let m(p) = 2*p + 16. Determine m(u).
2
Let j(z) = 21*z + 4. Let v(y) = 16*y + 6. Let g(i) = 3*j(i) - 4*v(i). Determine g(-4).
-8
Let v be 28/(-6)*42/(-49). Let z be (2 + -5 + v)/(-1). Let f(a) = -11*a**3 - a**2 + a + 1. Determine f(z).
10
Suppose -d = -0*d. Let f(a) = -9 + 2 + d*a + a. Let t(g) = -g + 6. Let p be t(0). Give f(p).
-1
Suppose 0 = -0*y + 3*y - 12. Suppose -m - 12 = -5*i, m = -y + 2. Let t(r) = -2*r**i + 0 - r**3 + 5*r**3 + 4*r**3 + 1. Give t(-1).
-9
Let z = -312 + 310. Let f(a) = -4*a - 1. Give f(z).
7
Suppose 2*a + 2 - 6 = 0. Let n = a + -1. Let r(f) = 3*f + 2*f + n - 2*f. Calculate r(-3).
-8
Let b(y) = -2*y - 1. Let f be -561*3*4/(-36). Suppose -182 + f = -i. Give b(i).
9
Let r(a) = a**2 - a + 25. Let h be r(0). Suppose -3*c - h = -8*c. Let w(k) = -k**3 + 3 - c*k**2 + 5 + 12*k - 3*k. Determine w(-6).
-10
Let m be (1 - 36/48) + (-7)/(-4). Let q(r) = 5*r**3 + r**2 - 3*r + 2. Give q(m).
40
Let b(h) = 5*h**3 + 20*h**2 - 3*h - 20. Let j(k) = -2*k**3 - 7*k**2 + k + 7. Let y(q) = -6*b(q) - 17*j(q). Let c be 9/18*(2 + -4). Calculate y(c).
-5
Let b(j) be the second derivative of -j**3/6 + 9*j**2/2 - 47*j - 2. Suppose -7 - 2 = -3*g. Let l = -3 + g. Calculate b(l).
9
Let q(o) be the third derivative of -1/6*o**3 + o**2 + 0*o + 1/24*o**4 + 0. Determine q(-6).
-7
Let v(c) = -6*c. Let q be v(1). Let y(b) = 7*b**2 - 2*b + 5 + b**3 - 13*b + 8*b + 12*b. Calculate y(q).
11
Let m(t) = -8 - 5 - 7*t - 7 + 25. Let z be m(1). Let b(k) = -2*k + 2. Give b(z).
6
Let i = 26 - 36. Let g = 12 + i. Let r(q) = 0*q**g - 1 + q + q**2 + 2*q + 2. What is r(-2)?
-1
Let j(p) = -2*p**2 - 3*p + 1 + p**2 + 4*p. Let q(v) be the first derivative of v**4/4 + 6*v**3 + 31*v**2/2 - 13*v + 3. Let i be q(-16). What is j(i)?
-5
Let i(z) be the first derivative of 0*z**2 - 19 + 1/4*z**4 + 4/3*z**3 - z. Give i(-3).
8
Let n(o) = 3*o + 2. Suppose 2*m - 16 = -2*q + 3*m, -5*m - 38 = -3*q. Let s be (32/q + -5)/(2/(-12)). Determine n(s).
-4
Let o(n) be the first derivative of 2*n**4 + 2*n**3/3 - n**2 + n + 2. Suppose 0 = y + 3, 8 = -7*t + 3*t - 4*y. What is o(t)?
9
Let r(a) = 6*a - 6. Let k(q) = 7*q - 7. Let p(g) = -5*k(g) + 6*r(g). Suppose -13 = z - 5*n + 3*n, 0 = -2*z - 2*n - 2. Determine p(z).
-6
Suppose 0 = 8*z - 13*z + 765. Let h(n) = 150*n - z*n + 0 + 6. Determine h(6).
-12
Let b(d) be the third derivative of d**4/24 - 7*d**3/6 - d**2. Let f(g) = 44*g - 38. Let p be f(1). Determine b(p).
-1
Let v(k) be the third derivative of k**4/6 + 2*k**3/3 + 187*k**2. Determine v(6).
28
Let g(f) = -16*f**2 + 4*f - 9. Suppose b - 2*z = -15, -13 + 3 = -5*z. Let y(t) = -3*t**2 + t - 2. Let n(k) = b*y(k) + 2*g(k). What is n(3)?
4
Suppose 2*c = -3*y + 33, 2*y - c + 4*c - 27 = 0. Let f(s) = s. Determine f(y).
9
Let l(o) be the second derivative of -o**7/2520 - 2*o**4 - 18*o. Let b(t) be the third derivative of l(t). Calculate b(1).
-1
Let c(p) = p**2 + 13. Let k = -106 + 106. Determine c(k).
13
Let i(n) = -n**2 + 9*n. Let a = 728 - 721. Calculate i(a).
14
Let g(m) be the first derivative of -m**4/4 + 4*m**3/3 + 3*m**2/2 + 3*m - 1. Let i be (0 + 1)*(3 + -1)/((-74)/(-185)). Calculate g(i).
-7
Let d = 5 - 4. Let s(n) be the second derivative of -n**3/2 + n**2/2 + 9*n. Determine s(d).
-2
Let h(i) = -i - 4. Let y = 17 + -1. Let v = y - 12. Give h(v).
-8
Let j(r) = 13 + 15*r + 12 - 27*r + 13*r. Give j(-18).
7
Let p(g) = -65*g - g**2 - 60*g + 3*g**2 + 124*g. Give p(-1).
3
Suppose -2*z = i - 17, -2*i - 22 - 34 = -5*z. Let w(j) = -j**2 + 11*j - 6. Determine w(z).
4
Let z(u) be the first derivative of 3*u**2/2 + 6*u - 6. Let v(r) = 31 + 12*r + 9*r - 7*r + 2*r. Let f(j) = -4*v(j) + 22*z(j). Calculate f(-6).
-4
Suppose 2*c - 5*l - 13 = 0, -4*l + 0*l = -12. Let d = -5 + c. Let x(y) = 3*y - 7*y + d*y**2 + 1 + y + y. What is x(1)?
8
Let c be 2*(0 + 10 - 0). Suppose b = -4*f + c, 0 = f + b - 2. Let d(t) = -6*t + 4*t**2 - f + 0*t**2 - 5*t**2. Calculate d(-5).
-1
Suppose r - 5 = 4*s - 15, -19 = -2*r - 5*s. Let t(x) = -x**3 + x - 1. Give t(r).
-7
Let j(m) = m**2 - 5*m + 2. Let f be j(5). Let r(n) be the first derivative of 8*n**2 + 67. Let a(t) = -3*t. Let i(b) = f*r(b) + 11*a(b). Determine i(-6).
6
Let j = -257 - -244. Let m(o) = o**2 + 13*o + 18. What is m(j)?
18
Let a(k) be the second derivative of -k**5/20 + k**4/2 + 5*k**3/6 - k**2 + 28*k + 2. Calculate a(7).
-16
Suppose -g = -3*g - 4. Let l be 18/(-18) - (g + 4). Let f(t) = 8*t - 2. Give f(l).
-26
Let j(s) = -2*s**2 + 9*s - 13. Let g(u) = u**2 - 8*u + 14. Let v(w) = 3*g(w) + 2*j(w). Calculate v(-8).
0
Let l(d) = d**3 + 8*d**2 + 5*d - 9. Let b = -25 + 18. Let k be l(b). Let s(z) = -z - 2. Let f(i) = -5*i + 3. Let n(p) = -f(p) + 4*s(p). Calculate n(k).
-6
Let q(j) = j**2 + 3*j + 4. Let l be q(-3). Suppose -b + l*b = 3. Let v(r) = 10*r**2 - r + 8*r**3 - 4*r**2 + r**2 - 6*r**2. What is v(b)?
8
Let r be (3/2)/((-3)/(-2)). Let n(c) = -10*c. Determine n(r).
-10
Suppose 0 = 2*j - 5 - 1. Let k(f) = 2*f**3 - 2*f - 4*f**2 - 8 + 2 - 3*f**j. Suppose -41 = 5*z - 3*a, -4*z + 0*z + 4*a - 44 = 0. Calculate k(z).
2
Let k(p) be the second derivative of p**5/10 + p**4/12 - p**2 + 387*p. Let l = 0 + -2. Determine k(l).
-14
Let o(r) be the third derivative of r**4/6 + r**3 + 21*r**2. Let f(n) = 3*n + 5. Let u(d) = 3*f(d) - 2*o(d). Calculate u(-6).
-3
Suppose -4*x = -7*x. Suppose x = 5*d - 17 + 2. Let f(n) = -d*n + 4*n - n**2 - 1 + 12*n**3 + 0 - 4*n**3. Determine f(1).
7
Let o(x) = -3*x**2 + 3 - 10*x**2 - 6*x + x**2 + 11*x**2. Determine o(-7).
-4
Let p(f) = -f**3 - f**2 - 3*f - 4. Let x(l) = l**2. Let k(v) = p(v) + 6*x(v). Let j = 101 - 50. Let w = j - 47. What is k(w)?
0
Suppose -5*c + 9 = 3*o + 34, -2*c - 2*o = 10. Let z(r) = 49*r - 27*r - 12 - 21*r + 10. What is z(c)?
-7
Let v(p) = 9*p**2 + 25 - 7*p + 7*p - 24. Let j be 2 + 0 - (16 - 15). Determine v(j).
10
Let b(i) = -2*i**3 - 30*i**2 - 26*i + 24. Let q be b(-14). Let m(o) = 3*o + 12. What is m(q)?
0
Let b(k) be the third derivative of k**4/8 - k**3/6 - 13*k**2. Give b(-1).
-4
Suppose 193*c = 188*c - 15. Let k(i) = -i**2 - 2*i + 4. Giv
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - o**p wrt o?
-60*o**2
Suppose 4*p - 8 = -4*k, 5*k - 2*p + 2 + 2 = 0. Let x(v) = v**3 + v**2 + v + 6. Let w be x(k). What is the third derivative of 3 + 3 + 4*n**4 - w + n**2 wrt n?
96*n
Let h be ((-3)/(-9))/(4*1/4). Let u(m) be the third derivative of 0 + 0*m - 1/24*m**4 + 2*m**2 - h*m**3. What is the first derivative of u(r) wrt r?
-1
What is the third derivative of 22 - 3*b**6 - 22 - 4*b**2 wrt b?
-360*b**3
Find the second derivative of 10*v + 54 - 54 - 30*v + 28*v**2 wrt v.
56
Suppose 7 = 4*t - 13. Let k be 3*4/30*t. What is the second derivative of 5*v - v**2 - v + 0*v**k - 2*v wrt v?
-2
Let r(o) be the first derivative of -5 - 3 + 3*o - o**2 + 6. Find the first derivative of r(c) wrt c.
-2
What is the first derivative of 15*c**4 + 8 - 4 + 1 wrt c?
60*c**3
Let g(l) = -15*l + 14. Let z(n) = 7*n - 7. Let j(r) = -2*g(r) - 5*z(r). What is the first derivative of j(t) wrt t?
-5
Find the first derivative of 2 + 11*f**3 - 4*f**3 - f**3 - 11 wrt f.
18*f**2
Find the second derivative of 2*g**5 + 4*g**5 - g + 4*g**5 - 11*g**5 wrt g.
-20*g**3
Let u(r) be the first derivative of -5/2*r**2 + 0*r**3 - 7 + 0*r + 7/4*r**4. Find the second derivative of u(j) wrt j.
42*j
Let l(u) = -u - 1. Let b(j) = -4*j - 9. Let a(h) = -b(h) + 5*l(h). Let f(o) = 3. Let k(q) = -2*a(q) + 3*f(q). Find the first derivative of k(x) wrt x.
2
Find the second derivative of 9*d - 3*d + d**2 + 3*d + 0*d wrt d.
2
Find the second derivative of 29*c**4 - 29*c**4 + 7*c**5 + 8*c wrt c.
140*c**3
Suppose 4*b = -b - 30. Let k(l) = -10*l**4 - 4. Let z(u) = 9*u**4 + 3. Let c(f) = b*k(f) - 7*z(f). What is the derivative of c(y) wrt y?
-12*y**3
Let z(i) = i. Let x(v) = -6*v. Let t(c) = 5*c - 1. Let a(r) = 2*t(r) + 3*x(r). Let q(p) = -a(p) - 5*z(p). Differentiate q(u) with respect to u.
3
Differentiate 178*o + 13*o**4 + 12 - 178*o with respect to o.
52*o**3
Suppose 4*a = -j - 1 + 2, 4*j - 4*a = 24. Let v = 5 - 2. Differentiate b**4 + 1 - v*b**4 - 3 + j*b**4 with respect to b.
12*b**3
Let f(p) = 19*p**2 + 9. Let c(u) = 9*u**2 + 4. Let n(a) = -5*c(a) + 2*f(a). What is the derivative of n(v) wrt v?
-14*v
Suppose 0 = 2*m + 2*m - 8. What is the first derivative of -2*v + 6*v**m - 2 + 1 + 2*v wrt v?
12*v
Suppose 2*z - 24 - 4 = 0. Suppose -2*d - 2*k = -z, -13 = 3*d - 4*d - 4*k. Find the second derivative of d*y**2 - 3*y**5 - 2*y - 3*y**2 - 2*y**2 wrt y.
-60*y**3
What is the third derivative of 5*x**2 + 0*x**2 - 2*x**5 - x**2 + x**5 wrt x?
-60*x**2
Let g(v) be the second derivative of 3*v + 0*v**2 + 1/6*v**4 + 0 + 1/6*v**3. Find the second derivative of g(n) wrt n.
4
Let x(m) = m + 3. Let a(n) = 3*n + 8. Let d(i) = 6*a(i) - 17*x(i). What is the first derivative of d(l) wrt l?
1
What is the first derivative of -2 + 0 + 3 + 2*g wrt g?
2
Let u be 3/3 + -1 + 4. Find the third derivative of c**u - 3*c**2 + c**2 + 3*c**2 - 6*c**2 wrt c.
24*c
Suppose 0 = 8*h - 4*h - 32. What is the derivative of 3*u**2 - h + 4 + 4*u**2 wrt u?
14*u
Let z = 3 - 0. What is the second derivative of 25 + z*a - 25 - 2*a**5 wrt a?
-40*a**3
What is the third derivative of l**4 + l**4 - 4*l**4 + 11*l**2 - 2*l**4 wrt l?
-96*l
Let n(v) be the first derivative of v**7/70 + v**3 - 2*v**2 + 10. Let p(y) be the second derivative of n(y). Differentiate p(m) wrt m.
12*m**3
Let p(w) be the first derivative of w**2 - w**2 + 2*w**4 - 3*w + 4 - 2*w. What is the first derivative of p(b) wrt b?
24*b**2
Let w(z) = -z**3 + 4*z**2 - 2*z - 1. Let l be w(3). Find the third derivative of 3*k**5 - k**5 + 5*k**l - 2*k**2 wrt k.
120*k**2
Suppose -m + 14 = 2*m - 4*p, -29 = 2*m + 5*p. Let n be -2 - m/(4/10). What is the derivative of -2*k**2 - n*k**2 + 2*k**2 - 3 + 0*k**2 wrt k?
-6*k
Let d(t) be the second derivative of -t**6/6 + 5*t**2/2 - 13*t. Differentiate d(b) with respect to b.
-20*b**3
Let z(w) = -4*w**3 - 3*w**2 + 6. Let t(s) = s**2 + 1. Let d(f) = -3*t(f) - z(f). What is the derivative of d(l) wrt l?
12*l**2
Let i(q) = -q**5 - q**4 - q. Let j(u) = 16*u**6 - 3*u**5 - 3*u**4 - 14*u**2 - 3*u. Let v(f) = 3*i(f) - j(f). Find the third derivative of v(m) wrt m.
-1920*m**3
Find the third derivative of -3*t**3 + 11*t**3 + 13*t**3 - 4*t**2 - 33*t**2 wrt t.
126
Suppose -2*y + 10 = 3*y. Suppose y*p - 1 = 5. Find the third derivative of -2*i**2 + p*i**4 + 3*i**2 - 4*i**4 wrt i.
-24*i
Let c(d) be the second derivative of 2*d**6/15 + 7*d**3/6 + 27*d**2/2 + 6*d. What is the first derivative of c(v) wrt v?
16*v**3 + 7
Let d = 26 - 22. Differentiate 1 - m**d + 6 - 2*m**4 wrt m.
-12*m**3
Let z(x) be the third derivative of 3*x**7/70 + x**3 + 8*x**2. What is the first derivative of z(k) wrt k?
36*k**3
Let n be 10/(-3)*(-1 - 2). Suppose -2*i - 2 = -n. What is the third derivative of g**4 + 3*g**2 - 2*g**2 + g**i wrt g?
48*g
Let b(s) be the third derivative of 0*s**3 - 1/24*s**4 + 0 + 2*s**2 - 1/20*s**5 + 0*s. What is the second derivative of b(y) wrt y?
-6
Let j(r) = -104*r**4 + 44*r**2 - 120*r + 44. Let z(b) = -7*b**4 + 3*b**2 - 8*b + 3. Let k(x) = 6*j(x) - 88*z(x). Find the second derivative of k(y) wrt y.
-96*y**2
Let t(p) be the third derivative of 17*p**7/210 - 53*p**3/6 - 63*p**2. What is the first derivative of t(l) wrt l?
68*l**3
Differentiate 23*z**2 - 4 - 14 + 5 + 5 with respect to z.
46*z
Let n = 5 + -2. What is the third derivative of n*d**5 + 4*d**5 + 11*d**6 + 7*d**2 - 7*d**5 wrt d?
1320*d**3
Let b(w) be the second derivative of 0 + 0*w**2 + 3*w + 1/3*w**3 - 5/12*w**4. Find the second derivative of b(u) wrt u.
-10
Find the third derivative of -48*r**6 - 10*r**2 + 40*r**2 + 34*r**6 wrt r.
-1680*r**3
Suppose -20 = -2*j - 8. Let u(k) = -k**2 + 1. Let z(m) = -2*m**2 + 9. Let f(b) = j*u(b) - z(b). Find the first derivative of f(w) wrt w.
-8*w
Let o(z) be the first derivative of 3*z**5/20 - z**3/3 + z + 1. Let g(p) be the first derivative of o(p). Find the second derivative of g(a) wrt a.
18*a
Differentiate 20 + 14*b - 2*b + 5*b - 3*b wrt b.
14
Suppose -5*p + 2*t = -5, 6*p - 3*t - 3 = 3*p. Differentiate -p - 10*h**2 + 6*h**3 + 10*h**2 - 2*h**3 with respect to h.
12*h**2
Let c(x) be the first derivative of -x**7/14 + x**4/3 - 3*x + 2. Let v(m) be the first derivative of c(m). What is the third derivative of v(k) wrt k?
-180*k**2
Suppose -3*j + 1 = 5*r + 3, 2*r + 12 = -4*j. Differentiate -3*y**2 - 6 + 0*y**r - 3*y**2 + 2*y**2 wrt y.
-8*y
Let v(z) = 3*z**3 + 10*z**2 - 23*z + 1. Let l(r) = -r**3 - 5*r**2 + 11*r - 1. Let k(b) = 5*l(b) + 2*v(b). What is the second derivative of k(x) wrt x?
6*x - 10
What is the third derivative of -8*r**6 + 48*r**2 + 42*r**6 + 213*r**5 - 213*r**5 wrt r?
4080*r**3
What is the second derivative of -2*w - 12*w**3 - 14*w + 5*w wrt w?
-72*w
Find the third derivative of -6*k**6 + 4*k**2 - 8*k**6 + k**6 + 4*k**2 wrt k.
-1560*k**3
Let j(b) be the third derivative of 3*b**6/40 + 11*b**5/60 - 7*b**2. What is the third derivative of j(s) wrt s?
54
Let m(y) be the third derivative of 0*y**6 + 0*y + 0*y**4 + 0*y**3 - 2*y**2 + 0 + 1/210*y**7 - 1/60*y**5. What is the third derivative of m(u) wrt u?
24*u
Let d(t) = -5*t**3 + 53*t**2 + 11*t + 11. Let g(r) = -2*r**3 + 18*r**2 + 4*r + 4. Let i(y) = -4*d(y) + 11*g(y). Find the third derivative of i(v) wrt v.
-12
Let a(z) be the third derivative of -7*z**5/20 - 10*z**3/3 - 7*z**2. Differentiate a(u) wrt u.
-42*u
Let h(c) = -c**2 + 1. Let u(g) = 2 - g + g**2 - 2*g**2 - 1 - g**3. Let a(q) = 3*h(q) - 3*u(q). Find the second derivative of a(s) wrt s.
18*s
Find the second derivative of -20*k**2 - 80*k + 38*k - 10*k wrt k.
-40
Let x(r) be the third derivative of r**6/60 - r**4/4 - 7*r**2. Find the second derivative of x(m) wrt m.
12*m
Suppose 7 = 2*h - 1. Find the second derivative of -2*l - l + h*l - 4*l**2 wrt l.
-8
Let w(i) = 36*i**4 + 5*i**3 - 5*i**2 + 5*i - 26. Let p(o) = -o**4 - o**3 + o**2 - o. Let y(c) = 5*p(c) + w(c). Differentiate y(l) with respect to l.
124*l**3
Let v(q) = 4*q**3 - q**4 + 4*q**4 + 3*q**4 + 9. Let u(z) = 17*z**4 + 11*z**3 + 26. Let a(m) = 4*u(m) - 11*v(m). Find the first derivative of a(n) wrt n.
8*n**3
Let j(v) = 29*v**2 - 22*v + 5. Let r(n) = -30*n**2 + 23*n - 6. Let x(k) = 6*j(k) + 5*r(k). Find the second derivative of x(t) wrt t.
48
Let c(u) be the second derivative of -9*u**6/10 + 23*u**3/6 - 64*u + 2. Find the second derivative of c(r) wrt r.
-324*r**2
Let j be 2/(-8) +
|
{
"pile_set_name": "DM Mathematics"
}
|
*sqrt(19)
Simplify (2 + sqrt(468))*5 + sqrt(468) + (5 + (sqrt(468) + 0)**2 - sqrt(468)).
30*sqrt(13) + 483
Simplify (2*sqrt(245)*-1)**2 + (-2 + sqrt(5) + 0)*5.
5*sqrt(5) + 970
Simplify 6*6*(sqrt(27))**2 + -2.
970
Simplify 5*(((-2*sqrt(132))/sqrt(12))**2 - sqrt(11)).
-5*sqrt(11) + 220
Simplify sqrt(54)/sqrt(2) + sqrt(3)*-2*3 + sqrt(3) + 5.
-2*sqrt(3) + 5
Simplify (sqrt(88) + (-5*(sqrt(88) + (sqrt(88) - sqrt(88)*1)) - sqrt(88)))/(3*sqrt(72) - sqrt(72)).
-5*sqrt(11)/6
Simplify (-3*sqrt(152)*-2)/(sqrt(64)/(-1*sqrt(8))).
-6*sqrt(19)
Simplify (sqrt(1700) - (sqrt(1700) - -2*sqrt(1700)) - sqrt(17))*-6.
126*sqrt(17)
Simplify -1*(sqrt(11) + -1 + sqrt(11)) + (sqrt(11) + 0 - sqrt(11))*-1.
-2*sqrt(11) + 1
Simplify (sqrt(12)/sqrt(6) + -4)**2*5.
-40*sqrt(2) + 90
Simplify 4*sqrt(833) + sqrt(833) + sqrt(102)/sqrt(6)*-4.
31*sqrt(17)
Simplify (sqrt(77) + 3*1*sqrt(77))/(-4*sqrt(7)*1).
-sqrt(11)
Simplify (3*(sqrt(144)/sqrt(6))/sqrt(2))**2.
108
Simplify ((-3*sqrt(468) + sqrt(13) - sqrt(13)) + (2*sqrt(78))/sqrt(6))**2.
3328
Simplify (-6*(sqrt(2) + 2) + sqrt(2)*-3 + -1)**2.
234*sqrt(2) + 331
Simplify sqrt(160)/(sqrt(200) - sqrt(8)).
sqrt(5)/2
Simplify (3*1*sqrt(91))/(sqrt(7) - sqrt(189)/sqrt(3)).
-3*sqrt(13)/2
Simplify sqrt(147) + 2 + sqrt(147) + 0.
2 + 14*sqrt(3)
Simplify (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 2))*-4 + sqrt(2448) - sqrt(2448))**2.
192*sqrt(17) + 2512
Simplify 2 + (sqrt(68)/sqrt(4) + -4)**2 + (-1 + sqrt(2448) + 2)**2.
16*sqrt(17) + 2484
Simplify (sqrt(525) - sqrt(525)*2)/sqrt(3).
-5*sqrt(7)
Simplify -2*sqrt(275) + (sqrt(11) - (((3 + sqrt(11))*-2 - sqrt(11)) + sqrt(11) - sqrt(11))**2).
-45*sqrt(11) - 135
Simplify (sqrt(475) + 1)**2 - (sqrt(19) + -2 + 5).
9*sqrt(19) + 473
Simplify (-3 + (-1 + sqrt(21)/sqrt(3) - (sqrt(7) - (0 + sqrt(7) + 4))))**2.
7
Simplify (5 + sqrt(33)/(sqrt(11) + sqrt(77)/(sqrt(21)/sqrt(3))))**2.
5*sqrt(3) + 103/4
Simplify (sqrt(363) - (sqrt(363) + sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + 0)**2) + -1)) + -2.
-33*sqrt(3) + 362
Simplify -2*(sqrt(325))**2*-4.
2600
Simplify -2*(1*(sqrt(162) + ((sqrt(162) + 1)**2 - sqrt(162))) + sqrt(162)).
-326 - 54*sqrt(2)
Simplify (2 + 1 + sqrt(2) - (1 + sqrt(18)))**2.
-8*sqrt(2) + 12
Simplify -5*((sqrt(7) + sqrt(56)/(sqrt(16)/sqrt(2)) + sqrt(7))**2 - sqrt(7))*-2.
-10*sqrt(7) + 630
Simplify 2*(-1 + sqrt(288) + -1)*-1.
-24*sqrt(2) + 4
Simplify -3*(sqrt(38)/sqrt(2)*4 - sqrt(304)*1).
0
Simplify (sqrt(55) - (sqrt(385)/sqrt(7)*3 + sqrt(55)))/sqrt(5)*2.
-6*sqrt(11)
Simplify (-1*sqrt(91)*2)/((sqrt(63)*-1)/sqrt(9)).
2*sqrt(13)
Simplify sqrt(8)/(sqrt(4) + sqrt(8)/sqrt(2)) - (sqrt(288)*2)**2.
-1152 + sqrt(2)/2
Simplify (3*-1*sqrt(143))/(sqrt(1331) + sqrt(1331) + sqrt(1331)*1).
-sqrt(13)/11
Simplify 0 + sqrt(637) + (1*sqrt(637))**2*-4.
-2548 + 7*sqrt(13)
Simplify (2*sqrt(144))/(-1*sqrt(242))*-1.
12*sqrt(2)/11
Simplify (5 + sqrt(1088) + -2 + sqrt(1088) - (sqrt(1088)*2*-6 - sqrt(1088)))**2.
720*sqrt(17) + 244809
Simplify (2 + (sqrt(88)*-4 - sqrt(88))/sqrt(8))**2.
-20*sqrt(11) + 279
Simplify 3*-2*((4*(sqrt(1088) + 1) + sqrt(1088))**2 - sqrt(1088)).
-163296 - 1872*sqrt(17)
Simplify (4 + (sqrt(19) - sqrt(114)/sqrt(6)*2))**2.
-8*sqrt(19) + 35
Simplify 1 + (0 + sqrt(19)*2 - (-1*sqrt(114))/sqrt(6))**2 + -2.
170
Simplify (-2*sqrt(882))/(sqrt(18)/sqrt(3)*-4).
7*sqrt(3)/2
Simplify (sqrt(325) + sqrt(325) + (sqrt(325) - 1*sqrt(325)) + sqrt(325) + -3)**2.
-90*sqrt(13) + 2934
Simplify 0 + (sqrt(80) + 0 + sqrt(80) + sqrt(80))**2 + sqrt(40)/sqrt(128).
sqrt(5)/4 + 720
Simplify 3 + 2 + (sqrt(52)*-2)**2.
213
Simplify -2*sqrt(891)*4 + -4.
-72*sqrt(11) - 4
Simplify (sqrt(63)/(sqrt(28)/sqrt(4)) - sqrt(9))/sqrt(3).
0
Simplify ((sqrt(400)*2)/sqrt(10))/sqrt(8).
2*sqrt(5)
Simplify ((sqrt(57) - sqrt(57)*1*-1)/(sqrt(96)/sqrt(2)))**2.
19/4
Simplify -5*((sqrt(637) - (sqrt(637)*1)**2) + sqrt(637) - sqrt(13)).
-65*sqrt(13) + 3185
Simplify 1 + sqrt(19) + sqrt(2736)*-2.
-23*sqrt(19) + 1
Simplify (4 + 1*sqrt(5) + sqrt(5))*4.
16 + 8*sqrt(5)
Simplify 3*(sqrt(147) - (-1*sqrt(147) + 0)).
42*sqrt(3)
Simplify (1 + 2 + (sqrt(7) - (sqrt(28)/sqrt(4) + sqrt(7))) + (sqrt(252) + -1 - sqrt(252)))**2.
-4*sqrt(7) + 11
Simplify ((sqrt(81) + sqrt(9))*3 + sqrt(9))/(sqrt(9)/sqrt(3)*5 - sqrt(3)).
13*sqrt(3)/4
Simplify 3*(sqrt(45) + (sqrt(45) - (sqrt(45) + 3)) + sqrt(45) + sqrt(45) + 2 + sqrt(5)).
-3 + 30*sqrt(5)
Simplify 4*(sqrt(252)*4)/(sqrt(9) + sqrt(18)/sqrt(8)).
64*sqrt(7)/3
Simplify ((sqrt(198) + -1*sqrt(198) + sqrt(198))*5)/sqrt(11).
15*sqrt(2)
Simplify (-2*sqrt(2940))/(-1*sqrt(972) + sqrt(972) + sqrt(12)).
-14*sqrt(5)
Simplify (-3 + -1*sqrt(11) - sqrt(99)/(sqrt(18)/sqrt(2))) + -5.
-8 - 2*sqrt(11)
Simplify -5*-2*((sqrt(209) - (sqrt(209) + sqrt(209)*5))/sqrt(11) - sqrt(19)).
-60*sqrt(19)
Simplify -4*sqrt(156)/(4*sqrt(48)).
-sqrt(13)/2
Simplify ((sqrt(187) - 1*sqrt(187))*1 - sqrt(187) - sqrt(187))/(-4*-2*sqrt(11)).
-sqrt(17)/4
Simplify 1*sqrt(931)*-4.
-28*sqrt(19)
Simplify (4 + sqrt(17))*5 - (sqrt(153) + -5).
2*sqrt(17) + 25
Simplify (5*(sqrt(7) + -4 + -1))**2.
-250*sqrt(7) + 800
Simplify sqrt(63)/(-6*sqrt(81)).
-sqrt(7)/18
Simplify 4 + (-2*sqrt(1216))**2 + 2.
4870
Simplify ((sqrt(10) - sqrt(40)/sqrt(4))*-3)/(sqrt(405)*-1).
0
Simplify 5*(sqrt(117) + sqrt(117) + -2 + 0)**2.
-120*sqrt(13) + 2360
Simplify (-2 + sqrt(190)/(sqrt(110)/sqrt(44) - sqrt(10)))*-5.
10 + 10*sqrt(19)
Simplify sqrt(152)/(3*sqrt(200)).
sqrt(19)/15
Simplify -1*((sqrt(48)*-2)/sqrt(12))/(sqrt(2) + sqrt(256)/sqrt(8)).
2*sqrt(2)/5
Simplify 2 + (-5 + sqrt(343))**2.
-70*sqrt(7) + 370
Simplify 1 + sqrt(1100) - ((sqrt(132)*-3 + sqrt(132) + sqrt(132))/sqrt(12) + sqrt(11))**2.
1 + 10*sqrt(11)
Simplify (sqrt(136) + (sqrt(136) - (sqrt(136) + sqrt(136)*-2)*-5))/(-3*sqrt(16)/sqrt(2)).
sqrt(17)
Simplify (-1 + sqrt(272))**2 - (5 + sqrt(170)/sqrt(10)).
-9*sqrt(17) + 268
Simplify sqrt(2736) + sqrt(2736) + 6*(sqrt(2736) - (sqrt(2736) + -3)).
18 + 24*sqrt(19)
Simplify ((sqrt(720)/(sqrt(12)*1) + sqrt(60))/((sqrt(96) + -2*sqrt(96) + sqrt(96) + sqrt(96) - sqrt(96))/sqrt(8) - sqrt(12)))**2.
20
Simplify -3 + 2 + sqrt(720) + 3.
2 + 12*sqrt(5)
Simplify -4 + -5 + 5*sqrt(275) + sqrt(275).
-9 + 30*sqrt(11)
Simplify ((sqrt(119) + -2*sqrt(119))*3 + sqrt(119))/((sqrt(7) - sqrt(7)*-1)*-1).
sqrt(17)
Simplify (sqrt(9) + (sqrt(27)/sqrt(3) + sqrt(9))*-6 + sqrt(9))/(sqrt(75) + (sqrt(75) - ((-2*sqrt(75) - sqrt(75)) + sqrt(75))) - sqrt(75) - sqrt(75) - sqrt(75)).
-2*sqrt(3)
Simplify (2 + sqrt(98))*-4 + 3.
-28*sqrt(2) - 5
Simplify (0 + sqrt(847) + sqrt(847))**2 + sqrt(847) + ((1*sqrt(84) + sqrt(84))/sqrt(12))**2.
11*sqrt(7) + 3416
Simplify 4 + (sqrt(1700) + 1 + 3)**2.
80*sqrt(17) + 1720
Simplify ((1*sqrt(567))/(sqrt(9) - (sqrt(9) + 5*(sqrt(9) - sqrt(36)))))**2.
63/25
Simplify sqrt(7) + (4*(-1 + sqrt(7)))**2 + -3.
-31*sqrt(7) + 125
Simplify -3*((sqrt(6300)*1)**2 + 2).
-18906
Simplify 3*(1*sqrt(144))/(-2*sqrt(72)).
-3*sqrt(2)/2
Simplify (sqrt(128) + 1 + sqrt(128))**2.
32*sqrt(2) + 513
Simplify (sqrt(6)/(sqrt(3)*2))**2 + (sqrt(2) + 0 + -1)**2.
-2*sqrt(2) + 7/2
Simplify (sqrt(7) - 2*(sqrt(7) + 1))**2 + 0 + sqrt(700).
11 + 14*sqrt(7)
Simplify sqrt(17) + (4 + sqrt(68) + sqrt(17))**2 - ((1 + sqrt(17))*-3)**2.
7 + 7*sqrt(17)
Simplify (((sqrt(170) + (sqrt(170)*-1 + sqrt(170) - sqrt(170)))*4)/(2*sqrt(40)/sqrt(4)))**2.
0
Simplify ((3*sqrt(425))**2 + sqrt(425))*6.
30*sqrt(17) + 22950
Simplify -5 + sqrt(343) + sqrt(7) + (sqrt(7) - (4 + sqrt(28)) - sqrt(7)).
-9 + 6*sqrt(7)
Simplify (5*(-1*sqrt(187) + sqrt(187)))/(sqrt(11)*-1*1).
0
Simplify (-2*sqrt(243)*4)**2 + (4 + (sqrt(243) + 0 - sqrt(243) - sqrt(243) - sqrt(243)))**2.
-144*sqrt(3) + 16540
Simplify sqrt(500) - 3*(sqrt(500) + 2 + sqrt(500))**2.
-6012 - 230*sqrt(5)
Simplify ((sqrt(190)*3 + sqrt(190))*-2)/sqrt(10).
-8*sqrt(19)
Simplify sqrt(288) + (sqrt(288)*-5 + sqrt(288))**2 - (sqrt(242) + -1).
sqrt(2) + 4609
Simplify (-2 + sqrt(125) + 5)**2.
30*sqrt(5) + 134
Simplify 2*sqrt(30)/(sqrt(40)/sqrt(4)).
2*sqrt(3)
Simplify 0 + -2*(sqrt(51)/sqrt(3) + sqrt(17)).
-4*sqrt(17)
Simplify 5*(sqrt(52) - sqrt(208)) - (sqrt(156)/((sqrt(96)*-1)/sqrt(8) - sqrt(12)))**2.
-10*sqrt(13) - 13/4
Simplify (sqrt(57)/(-1*sqrt(3)) - (sqrt(19) - (sqrt(95) - -1*sqrt(95))/sqrt(5) - sqrt(19))) + -5.
-5 + sqrt(19)
Simplify 2*sqrt(28) - (sqrt(70)*3)/sqrt(10).
sqrt(7)
Simplify (sqrt(200) + -1 + 0)**2 + -5*(1 + sqrt(2
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*w**5/15 + w**2 + 5. Let f(g) be the second derivative of o(g). Factor f(s).
2*s**2*(s - 2)**2*(s - 1)
Suppose -4 = -j + 1. Suppose 2*g**4 - j*g**4 + 2*g**2 - 2*g + 2*g**3 + g**4 = 0. What is g?
-1, 0, 1
Suppose 0 = r - 2*z + 2, r + r + 16 = z. Let y be r/28*24/(-30). Factor -2/7*c**3 + y*c + 0 + 2/7*c**2 - 2/7*c**4.
-2*c*(c - 1)*(c + 1)**2/7
Suppose 0 = 5*f - 6 + 61. Let h be 12/4 - f/(-5). Solve h - 14/5*o**3 - 24/5*o**2 - 6/5*o = 0 for o.
-1, 2/7
Suppose 2*j = -10, 5*j = -5*z - 9 - 1. Let h(c) be the third derivative of 0*c**4 - 1/120*c**6 + z*c**2 + 0 - 1/60*c**5 + 0*c + 0*c**3. Factor h(r).
-r**2*(r + 1)
Let a be (4 + -4)/(-2 - -1). Suppose a = -f - 0*f - 5, 4*f + 28 = 4*p. What is g in -1/2*g**4 + 1/2*g**p - 1/2*g**5 - g + 0 + 3/2*g**3 = 0?
-2, -1, 0, 1
Let c(a) be the third derivative of -a**5/20 - a**4/2 + 5*a**3/2 + 3*a**2. Solve c(i) = 0 for i.
-5, 1
Let x(u) be the first derivative of -4 - 3/4*u**4 + 6*u + 3/10*u**5 + 3*u**2 - 3/2*u**3. Find a such that x(a) = 0.
-1, 2
Let w(p) = -p**2 + 2*p + 5. Let j be w(4). Let u be (7 + j)/(-1 - -2). Factor -10*n**u + 0*n + 14*n**3 - 4*n**2 + 0*n.
-2*n**2*(n - 1)*(5*n - 2)
Let j(o) be the second derivative of -7*o**6/15 - 9*o**5/5 - 10*o**4/7 - 8*o**3/21 + 40*o. Factor j(a).
-2*a*(a + 2)*(7*a + 2)**2/7
Let u(a) be the second derivative of 2*a**6/105 + 3*a**5/35 + 13*a**4/84 + a**3/7 + a**2/14 - 7*a. Suppose u(b) = 0. Calculate b.
-1, -1/2
Suppose 13*x = 18*x - 15. Let n(f) be the first derivative of -x + 0*f - 1/4*f**4 + 0*f**2 + 2/3*f**3. Solve n(o) = 0 for o.
0, 2
Let m = 2 + -6. Let p be (-2 + 0 + 1)*m. Factor -2*j**p - 2*j**3 + 0*j**3 - 3*j**4.
-j**3*(5*j + 2)
Let v be (-10)/(-6) + 3/9. Suppose 4*n - 8 - 16 = 0. Determine p so that 0*p**3 - 3*p**4 + 2*p - v*p**3 - 5*p**2 - n*p**5 + 14*p**4 = 0.
-2/3, 0, 1/2, 1
Let w(l) = l**4 - 7*l**3 - 3*l**2 + 7*l - 6. Let x(v) = 7*v**3 + 3*v**2 - 7*v + 7. Suppose 0 = -2*i + i + 4. Let n(s) = i*x(s) + 5*w(s). Factor n(o).
(o - 1)**2*(o + 1)*(5*o - 2)
Let l be (7/(-3) + 2)*10/(-35). Let i(n) be the third derivative of -5/84*n**4 + 0*n + 5*n**2 + 0 - 1/30*n**5 + l*n**3. Solve i(u) = 0.
-1, 2/7
Let x(j) = -11*j**3 + 10*j**2 - 2*j. Let n(m) = -54*m**3 + 50*m**2 - 10*m. Let c(q) = -3*n(q) + 14*x(q). Solve c(k) = 0.
0, 1/4, 1
Let i = 6 - 5. Suppose i - 2*v + v**3 - v**4 + 4*v + 0*v**4 - 3*v**3 = 0. What is v?
-1, 1
Let l(z) = z + 9. Let k = 1 + -8. Let c be l(k). Let -40/9*i**5 - 16/3*i**3 + 4/9*i + 0 - 2/9*i**c + 86/9*i**4 = 0. Calculate i.
-1/4, 0, 2/5, 1
Let j(h) be the third derivative of -h**8/560 - 4*h**7/525 - h**6/100 + h**4/120 - 2*h**2. Solve j(n) = 0 for n.
-1, 0, 1/3
Let v(q) be the second derivative of q**4/18 - q**3/9 + 6*q. Find h such that v(h) = 0.
0, 1
Let h be 8/3*(-18)/(-8). Let r(l) be the third derivative of 0*l**3 + 0 + 1/12*l**4 + 2/15*l**5 - l**2 + 1/10*l**h + 4/105*l**7 + 0*l + 1/168*l**8. Factor r(y).
2*y*(y + 1)**4
Let u(l) be the third derivative of 0*l**5 + 2*l**2 + 0*l + 0 + 0*l**3 + 0*l**6 + 0*l**4 - 1/630*l**7. Suppose u(t) = 0. What is t?
0
Let d = 3225/11 - 293. Factor d*c**2 - 2/11*c + 0.
2*c*(c - 1)/11
Let g(m) = 5*m**4 - 4*m**3 + 5*m**2 + 3. Let s(w) = 15*w**4 - 13*w**3 + 14*w**2 + 8. Let b(j) = -8*g(j) + 3*s(j). Factor b(a).
a**2*(a - 1)*(5*a - 2)
Let c be 1/((-3)/(-2) - 1). Let w be 3/(-2 + 24/3). Factor 0*d + w*d**c + d**3 + 1/2*d**4 + 0.
d**2*(d + 1)**2/2
Factor 10/7*q**3 + 1/7*q**5 + 5/7*q - 5/7*q**4 - 10/7*q**2 - 1/7.
(q - 1)**5/7
Let y(w) = -8*w**2 + 28*w - 22. Let h(x) = -x**2 + 4*x - 3. Let a(g) = 44*h(g) - 6*y(g). Factor a(s).
4*s*(s + 2)
Let x(s) = -s**3 + 3*s - 1. Let h be x(2). Let p be (1/(-9))/(h/18). Find q such that p*q + 2*q**2 - 2/3*q**4 - 4/3 - 2/3*q**3 = 0.
-2, -1, 1
Factor 28*x**2 + 20*x**3 - 32*x**3 + 6*x - 7*x**2.
-3*x*(x - 2)*(4*x + 1)
Let g(o) be the second derivative of 16*o**7/189 - 8*o**6/135 - 23*o**5/90 + 7*o**4/54 + 7*o**3/27 + o**2/9 + 32*o. Determine a so that g(a) = 0.
-1, -1/4, 1
Let f(a) = -2*a**5 - 38*a**4 + 42*a**3 - 18*a**2. Let t(l) = l**5 + 13*l**4 - 14*l**3 + 6*l**2. Let m(u) = -3*f(u) - 8*t(u). Factor m(n).
-2*n**2*(n - 3)*(n - 1)**2
Let b be -2 + 42/12 + 0. Factor 1 + 1/2*x**2 + b*x.
(x + 1)*(x + 2)/2
Let u(z) = z + 16. Let v be u(-10). Suppose 0 = -2*y - 4*b + v + 14, -5*y + b = 5. Factor -1/2*a**3 + a**2 + y - 1/2*a.
-a*(a - 1)**2/2
Let f(i) = -i**2 - i + 1. Let w(a) = -a**4 + a**2 + 3*a + 8. Let x(u) = u**2 - 4*u - 1. Let n be x(-3). Let k(t) = n*f(t) - 4*w(t). Factor k(o).
4*(o - 3)*(o + 1)**3
Solve -4/3*d - 4/3 + 4/3*d**2 + 4/3*d**3 = 0 for d.
-1, 1
Let b(c) = c**3 - 43*c**2 - 187*c - 256. Let w = 25 - 31. Let s(x) = -2*x**3 + 42*x**2 + 186*x + 256. Let m(y) = w*b(y) - 5*s(y). Find p, given that m(p) = 0.
-4
Suppose 6*w - 2*w = 0. Suppose w = t + 4*t. Factor t*u**2 - 4/9*u**3 + 0 + 2/9*u + 2/9*u**5 + 0*u**4.
2*u*(u - 1)**2*(u + 1)**2/9
Let i(r) be the first derivative of -r**8/9240 - r**7/4620 - 4*r**3/3 + 8. Let p(f) be the third derivative of i(f). Factor p(g).
-2*g**3*(g + 1)/11
Let j be (-4)/(-6) - (-7)/3. Let l be 1 - ((-12)/j)/(-12). Solve -l*f + 10*f**2 - 4/3 = 0 for f.
-1/3, 2/5
Let j(r) be the second derivative of -r**4/6 + r**3 - 2*r**2 + 9*r. Let j(w) = 0. Calculate w.
1, 2
Let z(i) = i**3 + i**2 + 3*i - 5. Let q(k) = 6*k**3 + 4*k**2 + 16*k - 26. Let j(y) = 6*q(y) - 33*z(y). Factor j(w).
3*(w - 3)*(w - 1)*(w + 1)
Let q(x) be the third derivative of 0 + 1/210*x**5 + 5*x**2 + 0*x + 0*x**3 + 0*x**4. Factor q(l).
2*l**2/7
Suppose 24 = 3*n - 6. Let s = -17 + 19. Factor 2 - 33*i**3 - 26*i + 44*i**4 + 64*i**s - n*i**5 + 2 - 43*i**3.
-2*(i - 1)**4*(5*i - 2)
Let c(i) = i**4 + i**3 + i**2 - i + 1. Let p(x) = 2*x**5 - 9*x**4 + 19*x**3 + 15*x**2 - 21*x + 3. Let s(a) = -3*c(a) + p(a). Solve s(w) = 0.
-1, 0, 1, 3
Suppose -3*g = g + 384. Let y be (-2)/9 - g/189. Factor 0*h - y + 2/7*h**2.
2*(h - 1)*(h + 1)/7
Let y(j) = 12*j**3 - 4*j**2 - 12*j. Let i(q) = -q**4 - q**2 + q. Let s(z) = -4*i(z) + y(z). Factor s(k).
4*k*(k - 1)*(k + 2)**2
Let y be 1/((-6)/21)*2. Let c(w) = -13*w**3 - 24*w**2 - 30*w - 5. Let k(n) = 9*n**3 + 16*n**2 + 20*n + 3. Let a(b) = y*k(b) - 5*c(b). Factor a(z).
2*(z + 1)**2*(z + 2)
Let t(x) be the first derivative of 2*x**3/9 + 4*x**2/3 + 2*x - 4. Find w, given that t(w) = 0.
-3, -1
Let k(y) = 3*y**3 - y**2 - y + 2. Let n be k(2). Find c such that -10*c + n*c**2 + 7*c**3 - 13*c**3 + 4 - 8*c = 0.
1/3, 1, 2
Let p(a) = 3*a - 6. Let m be p(6). Suppose 3*i = -i + m. Solve i*j + 2 - j**2 - 3*j**2 + 5*j**2 = 0.
-2, -1
Let u(p) be the third derivative of 1/525*p**7 + 0 + 1/100*p**6 + 0*p**3 + 3*p**2 + 1/60*p**4 + 0*p + 1/50*p**5. Suppose u(j) = 0. What is j?
-1, 0
Let s(t) = 8*t**4 - 21*t**3 - 61*t**2 - 13. Let v(y) = 4*y**4 - 10*y**3 - 30*y**2 - 6. Let r(p) = -6*s(p) + 13*v(p). Factor r(z).
4*z**2*(z - 3)*(z + 2)
Let f(p) be the second derivative of -p**8/2800 + p**7/6300 + p**6/900 - 5*p**4/12 - 3*p. Let a(t) be the third derivative of f(t). Find r such that a(r) = 0.
-1/2, 0, 2/3
Let 8*g**5 - 4*g - g - 2*g**2 + 12*g**2 - 3*g**5 - 10*g**4 = 0. What is g?
-1, 0, 1
Factor 0*j**2 - 1/4*j**3 + 0 + 0*j.
-j**3/4
Let y(f) be the first derivative of 2*f**3/21 - 2*f**2/7 - 6*f/7 - 13. Factor y(h).
2*(h - 3)*(h + 1)/7
Let l be 0*(-4 + (-2 - -5)). Factor -7*s**2 - 4*s**3 + 6*s**2 + 4*s + l*s**2 + 1.
-(s - 1)*(s + 1)*(4*s + 1)
Solve 0*j**2 - 6/5 + 3/5*j**3 - 9/5*j = 0 for j.
-1, 2
Let k = 1/493 - -6893/4437. Suppose 2*g**2 - 10/9*g**3 + 2/9*g**4 - k*g + 4/9 = 0. What is g?
1, 2
Let v(g) = -162*g**4 - 563*g**3 - 548*g**2 - 163*g - 11. Let a(z) = 81*z**4 + 282*z**3 + 274*z**2 + 81*z + 5. Let u(y) = 5*a(y) + 3*v(y). Factor u(q).
-(q + 1)*(q + 2)*(9*q + 2)**2
Let v = -3 + 9. Let w be 0 + -1 - (-8)/v. Factor 1/3 - 2/3*a + w*a**2.
(a - 1)**2/3
Let n = -14 - -13. Let j(s) = -s**4 + s**2 - s + 1. Let w(u) = 3*u**4 - 4*u**3 + 4*u**2 - 2*u - 1. Let k(r) = n*w(r) - 2*j(r). Factor k(l).
-(l - 1)**4
Suppose 0 = 3*w + 4 - 13. Suppose -w*j - 6 = -5*j. Solve -2*r**2 + 2*r**j + 3*r - 2*r**2 - r = 0.
0, 1
Factor 3*z - 3 - 3/4*z**2.
-3*(z - 2)**2/4
Let t = 5 - 3. Factor 0 - 11*r - 2*r**2 + 0*r**t + 3*r - 8.
-2*(r + 2)**2
Let p(q) be the third derivative of 1/10*q**5 + 0 + 1/40*q**6 + 0*q + 0*q**3 + 1/8*q**4 - 3*q**2. Solve p(n) = 0 for n.
-1, 0
Let p(s) = s**3 + 5*s**2 - 4*s - 28. Let l be
|
{
"pile_set_name": "DM Mathematics"
}
|
p) = 79*p. Calculate d(m(f)).
6241*f**2 + 502519*f
Let d(h) = -168*h**2. Let v(q) = -1459*q**2. Give d(v(f)).
-357618408*f**4
Let p(i) = 260*i**2 + 12. Let w(n) = -n**2. What is p(w(y))?
260*y**4 + 12
Let h(s) = s**3 - 4*s**2 + 6*s - 5. Let u = 32 + -27. Let g be h(u). Let n(c) = 21*c**2 - g + 50. Let y(r) = -r. Calculate n(y(j)).
21*j**2
Let r(q) = -87*q + 14. Let w(n) = -85*n + 12. Let o(j) = 6*r(j) - 7*w(j). Let s(g) = 3*g**2. Determine s(o(b)).
15987*b**2
Suppose -s = -7 - 3. Let z(m) = -s*m + 19*m - 14*m. Let l(w) = -w + 4. Let c(h) = h - 5. Let d(a) = -4*c(a) - 5*l(a). Give z(d(j)).
-5*j
Let b(i) = -2*i. Let w(a) = 112868*a**2. Calculate b(w(r)).
-225736*r**2
Let b(t) = t. Let p(x) be the third derivative of -1/24*x**4 + 0 + 23*x**2 + 25/6*x**3 + 0*x. Determine b(p(k)).
-k + 25
Let m(i) = -29*i**2. Let l(c) = 2*c + 613. Determine m(l(y)).
-116*y**2 - 71108*y - 10897301
Let c(x) be the second derivative of x**3/6 + x. Suppose 0 = u + n - 7, 5*u + 2*n + 10 = 6*n. Let w(j) = -11 - u*j - 3*j + 11. Calculate c(w(r)).
-5*r
Let y(d) = 18*d. Let b(w) = 17894*w**2. Give y(b(q)).
322092*q**2
Let d(z) be the first derivative of 8*z**3/3 - 16. Let s(p) = -2*p**2 + 6*p + 6. Let f(u) = -2*u**2 + 5*u + 5. Let l(h) = 6*f(h) - 5*s(h). Give l(d(q)).
-128*q**4
Let g(p) = -p. Let c(w) = -1315641*w. Give g(c(j)).
1315641*j
Let o(y) = y. Let u(c) = -14485*c**2 - 2*c - 2. Determine u(o(z)).
-14485*z**2 - 2*z - 2
Let p(f) = -3*f. Let l(h) = h + 19. Let z(b) = -4*b - 77. Let t(v) = 22*l(v) + 6*z(v). What is p(t(n))?
6*n + 132
Let u(p) = 3*p**2. Let b(y) = y**3 + 7*y**2 + 21*y + 57. Let c be b(-5). Let q(g) be the second derivative of c*g + 0*g**2 + 0 + 1/2*g**3. Calculate u(q(o)).
27*o**2
Let n(v) = -32*v - 6. Let c = -115 + 109. Let k(y) = -32*y - 7. Let m(h) = c*k(h) + 7*n(h). Let u(f) = 2*f. What is m(u(o))?
-64*o
Let w(j) = 0*j**2 - j**2 - j**2 + 0*j**2. Let x(o) = 11*o + 20. Let g(h) = -10*h - 15. Let m(p) = 4*g(p) + 3*x(p). What is w(m(b))?
-98*b**2
Let i(d) = 2061*d**2. Let h(q) = 2*q. Give h(i(y)).
4122*y**2
Let z(n) be the third derivative of n**4 - n**3/3 + 3*n**2. Let i(p) = 2*p**2 + 15. Let u(w) = -7*w**2 - 55. Let a(s) = -11*i(s) - 3*u(s). Give z(a(r)).
-24*r**2 - 2
Let r(f) = 212*f. Let l(i) = 17*i - 13. Give l(r(o)).
3604*o - 13
Let u(d) be the first derivative of d**5/60 - 23*d**2 + 43. Let g(s) be the second derivative of u(s). Let w(p) = p - 2. Calculate w(g(m)).
m**2 - 2
Let w(i) = 2*i. Let d(u) = 68*u**2 - 576*u. Give d(w(t)).
272*t**2 - 1152*t
Let v = 89 + -88. Let j(o) = -v - 386*o + 384*o + 1. Let f(b) = -28*b. Calculate j(f(a)).
56*a
Let h(m) = 73*m. Let x(w) = 1417*w. What is h(x(a))?
103441*a
Let u(x) = 4*x**2 - x - 979. Let y(b) = -7*b. Determine y(u(m)).
-28*m**2 + 7*m + 6853
Let f(s) = 10238*s**2. Let x(o) = -21*o**2. What is x(f(j))?
-2201149524*j**4
Let m(k) = -6*k. Let d(l) = -2*l. Let b(f) = -11*d(f) + 4*m(f). Let z(i) be the second derivative of -14*i**4/3 + 248*i + 3. Calculate b(z(v)).
112*v**2
Let c(p) = -57*p**2 + 2*p + 2. Let s(l) = 10650*l**2 - 375*l - 375. Let i(q) = -375*c(q) - 2*s(q). Let a(f) = -3*f. Calculate i(a(u)).
675*u**2
Let d(y) = y - 4758. Let u(h) = 26*h. What is u(d(s))?
26*s - 123708
Let z(r) be the third derivative of r**5/12 + 135*r**2. Let q(s) = 42*s. Calculate q(z(k)).
210*k**2
Let y(m) = 2*m**2. Let s(t) = -2*t + t - 10 + 11 - 10*t. Calculate s(y(c)).
-22*c**2 + 1
Let z(g) = -113*g + 2. Let c(l) = 22*l - 1. What is c(z(t))?
-2486*t + 43
Let a(u) = 6*u**2 + 9*u + 54. Let y(l) = 3*l**2 + 5*l + 30. Let w(i) = -5*a(i) + 9*y(i). Let o(j) = -j + 90. What is o(w(d))?
3*d**2 + 90
Let f(u) be the second derivative of -u**4/3 + 124*u. Let t(m) = -6*m**2. Determine t(f(n)).
-96*n**4
Let z(b) = b**2. Let j(c) = 11 - 11 - 2*c + 3*c**2. Let v = 8 - 53. Let s(g) = 65*g**2 - 45*g. Let t(i) = v*j(i) + 2*s(i). What is t(z(m))?
-5*m**4
Let w(q) = -196*q - 76. Let s(n) = 11*n**2. Calculate s(w(j)).
422576*j**2 + 327712*j + 63536
Let g(m) = -3*m. Let b(y) be the second derivative of 11*y**3/3 - 3*y**2/2 + 23*y. Calculate b(g(p)).
-66*p - 3
Let m(a) = -5*a**2 + 655*a - 4. Let w(o) = 36*o. Give m(w(t)).
-6480*t**2 + 23580*t - 4
Let o(n) = 2*n**2. Let r(k) = 139917*k. What is r(o(v))?
279834*v**2
Suppose -4*r - 4*a + 4 = 0, 2*r - 6 = 3*a - a. Let k(l) = -4*l**2 + 7*l**2 - l**r - 4*l**2. Let i(y) = 25*y**2. Determine k(i(x)).
-1250*x**4
Let n(a) = 7*a**2. Let s(z) = -254*z**2 + 0 + 0 + 259*z**2. Give s(n(v)).
245*v**4
Let m(w) be the first derivative of -3*w**2/2 + 190. Let i(t) = 2 - 2*t - 2. Give i(m(l)).
6*l
Let k(o) be the second derivative of o**3 + 25*o. Let y(h) be the second derivative of h**3/6 + h. What is y(k(b))?
6*b
Let k(v) = 483538*v**2. Let p(z) = -2*z. Give p(k(b)).
-967076*b**2
Let k(v) be the third derivative of v**6/120 + v**3/3 + 3*v**2. Let o(y) be the first derivative of k(y). Let q(l) = -l - l + 7247 - 7247. What is q(o(x))?
-6*x**2
Let b(r) = 5*r**2 - 45*r. Let w(l) = -16*l**2 + 130*l. Let d(c) = -26*b(c) - 9*w(c). Let x(z) = 20*z. What is x(d(u))?
280*u**2
Let h(b) = -5*b**2. Let w be 0*2/4 - 3. Let i be (1/w)/(3/(-18)). Let c(a) = a - i*a - a. What is c(h(g))?
10*g**2
Let k(d) = d - 10*d + 3 - 3. Let v(y) be the first derivative of -y**2/2 + 42. Determine v(k(s)).
9*s
Let b(a) = 2*a. Let o(w) = 8 + 2*w + 7*w - 9*w + 3*w + 6. Determine o(b(d)).
6*d + 14
Let s(j) = 11 + 1 - 12 - 11*j. Let b(r) be the third derivative of -r**6/360 + r**3/6 - 2*r**2. Let n(g) be the first derivative of b(g). Give n(s(w)).
-121*w**2
Let t(p) = -283*p. Let c(s) = -12*s - 457. Calculate t(c(j)).
3396*j + 129331
Let x(c) = c. Let k(o) = 44195*o. Determine k(x(l)).
44195*l
Let s(y) = 253322*y**2. Let n(f) = 2*f. What is s(n(x))?
1013288*x**2
Let r(a) = -3*a**2. Let y(g) = 54*g**2 - 5*g - 15. Let l(q) = -2322*q**2 + 216*q + 648. Let c(t) = -5*l(t) - 216*y(t). Calculate r(c(m)).
-8748*m**4
Let o be (6/(-12)*2)/((-2)/18). Let s(v) = -20*v + o*v + 12*v. Let c(y) = 2 + 3*y - 2. Determine s(c(q)).
3*q
Let p(b) = -b**2 + 2*b. Let m(r) = 1247*r**2 - 2. Determine p(m(s)).
-1555009*s**4 + 7482*s**2 - 8
Let z(n) = -67*n**2 + n + 0*n - 2*n + 219*n**2. Let f(r) = -r**2. Give z(f(u)).
152*u**4 + u**2
Let a(m) = -5*m. Let h(p) = 622*p**2 + 7. Calculate a(h(r)).
-3110*r**2 - 35
Let k(x) = 7*x**2. Suppose 2 + 4 = 2*o. Let q(m) = 79 - 79 + o*m. Give q(k(h)).
21*h**2
Let y(f) = -13*f - 3 - 12 + 15. Let c(w) = 32*w**2. Give c(y(o)).
5408*o**2
Let y(g) be the first derivative of g**2/2 + 26. Suppose -3*z - 3 = -12. Let c(i) = 8*i - z*i + 6*i. Calculate c(y(v)).
11*v
Let m(v) = -3*v + 3*v + 17*v. Let u(w) = 74*w. Let x(q) = 198*q. Let n(d) = 8*u(d) - 3*x(d). Calculate m(n(l)).
-34*l
Let l(w) be the second derivative of w**5/30 - 2*w**2 + 6*w. Let q(y) be the first derivative of l(y). Let s(k) = 7*k**2. What is q(s(t))?
98*t**4
Let v(s) = -2*s**2. Let z(d) be the first derivative of -2*d**3/3 - d**2/2 - d + 9. Let c(k) be the first derivative of z(k). Calculate v(c(j)).
-32*j**2 - 16*j - 2
Let r(d) = -5*d. Let p(t) = 47*t**2 + 11*t - 11. Let i(j) = 9*j**2 + 2*j - 2. Let h(y) = -22*i(y) + 4*p(y). What is h(r(o))?
-250*o**2
Suppose 0 = -u + 3 + 1. Let r(z) = -7*z + u*z + 4*z. Let i(o) = -2*o. What is r(i(b))?
-2*b
Let n(d) = -5*d**2. Let s(i) = 2*i - 2. Let v(w) = 47*w + 12. Let k(m) = 6*s(m) + v(m). Determine k(n(z)).
-295*z**2
Suppose -5*g = -3*r - 10 - 9, 0 = -5*g + r + 13. Let x(q) = -q + 304*q**2 + q - 302*q**g. Let d(u) = 22*u**2. Give x(d(l)).
968*l**4
Let y(v) be the first derivative of -v**5/20 - 4*v**2 - 3. Let i(k) be the second derivative of y(k). Let u(c) = -3*c**2. Give i(u(o)).
-27*o**4
Let p(f) be the second derivative of f**4/12 - 309*f. Let c(r) = -88*r**2. What is c(p(h))?
-88*h**4
Let t(y) = -12*y + 52. Let r(w) = 3*w. Give r(t(x)).
-36*x + 156
Let o(a) = -328*a + 16. Let t(y) = 2*y. Calculate t(o(b)).
-656*b + 32
Suppose -2*u + j + 3*j + 26 = 0, -3*u = -j - 19. Let c(i) = -135 - u*i + 135. Let p(d) = d + 0*d - 3*d. Determine c(p(o)).
10*o
Let w(o) = o - 46. Let v(m) = -202*m. Give w(v(i)).
-202*i - 46
Let q(m) = -m**2 - 5*m + 22. Let x be q(-6). Let h(c) = 9 - x + 7 + 2*c**2. Let u(w) = -5*w**2. Determine u(h(p)).
-20*p**4
Let f(y) = 24 - 24 - 11*y**2. Suppose 3*g + 27 - 6 = 3*r, 0 = r - 5*g - 27. Let z(v) = -v**2 + 3*v**r
|
{
"pile_set_name": "DM Mathematics"
}
|
*z wrt j?
264*j*z + 1260*z
What is the first derivative of -185*y + 1072 wrt y?
-185
What is the derivative of 25*l**2 - l - 268 wrt l?
50*l - 1
Find the second derivative of -36*s**2*x**2*y - 23*s**2*x - 2*s**2 + 2*s - 2*x*y wrt x.
-72*s**2*y
What is the first derivative of -92*n*y**2 - 8716*n - 4*y**3 wrt y?
-184*n*y - 12*y**2
What is the third derivative of -1425*w**5 - 1748*w**2?
-85500*w**2
What is the second derivative of 3*u**3 - 4*u**2 - u + 99?
18*u - 8
What is the second derivative of -9337*v**2 - v + 576?
-18674
Differentiate 15*l**3*r + 3*l**2*r**2 - 674*r**2 wrt l.
45*l**2*r + 6*l*r**2
Find the first derivative of -2*q**3 + 31*q**2 - 7*q + 1682 wrt q.
-6*q**2 + 62*q - 7
What is the first derivative of 58*q**3 + 2*q + 418 wrt q?
174*q**2 + 2
What is the derivative of -7*m*p*z + 2*m*z - 11*p*z + 3*p + 635 wrt p?
-7*m*z - 11*z + 3
What is the first derivative of 157*r**2 + 21*r + 21449 wrt r?
314*r + 21
What is the third derivative of -1074*w**3 + 483*w**2 + w?
-6444
Find the third derivative of -2153*n**3*s**3 + 2*n**2*s**3 + 372*n**2*s**2 + 2*n**2*s + n wrt n.
-12918*s**3
Find the second derivative of -5*o**4*x + 173*o**3*x**3 - 3*o*x**3 + 91*o*x**2 - 2*x**3 wrt o.
-60*o**2*x + 1038*o*x**3
Find the third derivative of 11*a**5 - 2*a**4 + 5*a**3*y - a**2*y + 3*y wrt a.
660*a**2 - 48*a + 30*y
Find the second derivative of -7928*v**2*z - 57*v*z + v - 15*z wrt v.
-15856*z
Find the third derivative of 459*v**5 + 232*v**2 + 1.
27540*v**2
What is the second derivative of -126*d**3*i**2 - 7*d**3*i + 2*d**2*i**2*x + 2*d**2*x - d*i wrt i?
-252*d**3 + 4*d**2*x
What is the third derivative of -14*d**6 - 4*d**3 - 2*d**2 + 288*d?
-1680*d**3 - 24
Find the first derivative of a**2*x - 168*a**2 + 65*x + 1 wrt a.
2*a*x - 336*a
Find the third derivative of -345*p**5 + p**2 - 108 wrt p.
-20700*p**2
Find the first derivative of -i**3*v*x + 1325*i**3 + 51*v*x - v + 17*x wrt x.
-i**3*v + 51*v + 17
What is the third derivative of -71*j**5 + j**3 + 5*j**2 - 4 wrt j?
-4260*j**2 + 6
What is the first derivative of -205*u**4 + 587?
-820*u**3
Find the third derivative of -1245*q*r**3*s - 6*q*r**3 + q*r**2 - 2*q*r + 3*q*s - 2*r**2 - 13*s wrt r.
-7470*q*s - 36*q
Find the second derivative of 2120*s**5 - 515*s.
42400*s**3
Find the second derivative of 2*f**5 + 760*f**3 + 9263*f wrt f.
40*f**3 + 4560*f
What is the second derivative of -1305*v**3 + 173*v + 4?
-7830*v
Differentiate -9*b*h - 2539*b + 20*h**3 + 2 wrt h.
-9*b + 60*h**2
Find the second derivative of -7*b**3*g**2 - 3*b**3*g + b**3*s - 2*b**2*g**2*s + 3*b**2*g - 6*b**2*s + 11*b*g**2 + 5*g*s wrt g.
-14*b**3 - 4*b**2*s + 22*b
What is the first derivative of 197*b*q**2 - 65*q**2 wrt b?
197*q**2
What is the first derivative of -2*q**4 + 350*q**2 + 259?
-8*q**3 + 700*q
What is the third derivative of -195*s**6 + 465*s**2 + 1?
-23400*s**3
Find the second derivative of -2*f**5 - 1476*f**3*s**2 - f*s**2 - f + 695*s wrt f.
-40*f**3 - 8856*f*s**2
What is the first derivative of 5*c**3 - 1755*c + 4731?
15*c**2 - 1755
What is the second derivative of 3*x**3 - 53*x**2 - 4*x + 21?
18*x - 106
Find the first derivative of 6100*r + 9529.
6100
Find the second derivative of -55*x**4 + 32*x**3 - 2432*x.
-660*x**2 + 192*x
What is the third derivative of a**4*y + a**4 - 2*a**3*i*y + 4*a**3*y - 5*a**2 + 6*a*i + 3*i*y wrt a?
24*a*y + 24*a - 12*i*y + 24*y
Find the second derivative of 462*y**5 + 347*y wrt y.
9240*y**3
Differentiate -105*d**3*t**2 - 5*d**3 - 2*d*t - 43*t**2 - 10*t wrt d.
-315*d**2*t**2 - 15*d**2 - 2*t
Find the second derivative of -167*p**2 + 137*p.
-334
Differentiate 253*m + 54 wrt m.
253
Find the third derivative of -1079*y**3 - 554*y**2.
-6474
Differentiate 1658*c**4 + 3387 with respect to c.
6632*c**3
What is the first derivative of -6*w**4 - 2*w - 3200?
-24*w**3 - 2
Find the third derivative of 800*o**6 + 799*o**2.
96000*o**3
Find the third derivative of 215*k**3*l**6 + k**3*l**3 + 5*k**3*l**2 - 132*k*l**2 wrt l.
25800*k**3*l**3 + 6*k**3
Find the second derivative of -1630*b**4 - 5*b + 38.
-19560*b**2
Find the second derivative of -1795*j**2 + 7*j - 39.
-3590
What is the third derivative of -312*c**3 + 554*c**2?
-1872
What is the derivative of 26*m*z + m - 317*z wrt m?
26*z + 1
Find the second derivative of -23*a**2*t**2 - 193*a**2 + 5*a*t**2 + a*t - 415*t wrt a.
-46*t**2 - 386
Differentiate -1283*x - 292 with respect to x.
-1283
What is the third derivative of -20*c**3*h**3 - 201*c**2*h**3 wrt c?
-120*h**3
Find the second derivative of -51*o**3 - o**2 - 139*o wrt o.
-306*o - 2
What is the third derivative of -232*t**4 - 4*t**3 - 89*t**2 - 24*t?
-5568*t - 24
What is the third derivative of 273*b**5*j - 11*b**4*j**2 - 150*b**2*j**2 - 6*b*j**2 wrt b?
16380*b**2*j - 264*b*j**2
What is the derivative of -j**4 + 3*j**3 + 187 wrt j?
-4*j**3 + 9*j**2
Find the third derivative of 6*m**3*p*q*t**2 + m**3*q**2 - 2*m**3*t**3 - 2*m**2*q**2*t + 2*m**2*q - m*q**2*t**3 + p*t**2 wrt m.
36*p*q*t**2 + 6*q**2 - 12*t**3
Find the second derivative of 2*d**4*k + 2*d**2*k - 2217*d**2 - 13698*d*k wrt d.
24*d**2*k + 4*k - 4434
What is the third derivative of -3*l**5 - 26*l**4 - 19*l**3 + 7127*l**2 - 2*l wrt l?
-180*l**2 - 624*l - 114
Find the third derivative of -22*i**5 + 7*i**3 + 127*i**2 wrt i.
-1320*i**2 + 42
Find the second derivative of 53*q**4 + 31*q**2 - 144*q + 4 wrt q.
636*q**2 + 62
What is the derivative of g**4 - 698*g**3 - 6812 wrt g?
4*g**3 - 2094*g**2
What is the second derivative of g**5*v + 2699*g**2 - g*v - 133*g + 3*v wrt g?
20*g**3*v + 5398
What is the derivative of -33*f**3*i*l + 2*f**3*i - f**2*i*l - 148*f**2*i - 2*i*l wrt l?
-33*f**3*i - f**2*i - 2*i
Find the second derivative of -201*m**3*w**5 + 3*m**3 - 2*m*w - 3*w**5 wrt w.
-4020*m**3*w**3 - 60*w**3
Find the second derivative of -2*a**3*h**2 - 22*a**3*h - 4*a**2*h**2 + 13*a*h**2 - a + 9 wrt a.
-12*a*h**2 - 132*a*h - 8*h**2
What is the third derivative of 5*b**6*p + 9*b**4*p - 2*b**2*p + 3*b**2 + 6*b*p wrt b?
600*b**3*p + 216*b*p
What is the second derivative of -5*j**5 + 8*j**4 + 5*j**3 + 3204*j + 1?
-100*j**3 + 96*j**2 + 30*j
What is the derivative of 2*f*l**3 - 8*f*l*w - 6*f*p - 4*l**3*p*w + l**3*w + l**3 - p wrt f?
2*l**3 - 8*l*w - 6*p
Find the first derivative of 312*j**4 - 634.
1248*j**3
Find the third derivative of -2*s**5*w**2 + 60*s**3*w - s**2*w**2 - 4*s - w**2 wrt s.
-120*s**2*w**2 + 360*w
What is the third derivative of -q*w*x**3 + 3*q*w*x**2 - 6*q*w*x + q*w + 2*q*x**3 - 20*x**5 wrt x?
-6*q*w + 12*q - 1200*x**2
What is the second derivative of 341*j**2 - 4*j + 145?
682
What is the second derivative of 8710*i**2 + 1152*i?
17420
Find the second derivative of 761*w**5 - 446*w.
15220*w**3
Find the first derivative of -23*n**3*q + 20*n**3 + q**2 - 2*q wrt q.
-23*n**3 + 2*q - 2
Find the second derivative of 2*h**2*m**2*o**2 + 5*h**2*m**2*o + h**2*m + 3*h**2*o**2 + 2*h**2*o - 2*h**2 - 4*h*m**2 - 314*h*o**2 wrt o.
4*h**2*m**2 + 6*h**2 - 628*h
Differentiate -4*f**2*t - 26*f**2 - 96*f*t - 2*f - 64 wrt t.
-4*f**2 - 96*f
Differentiate 3*d**3*i**3 - 2*d**3*i - 85*d**3 + 18*d*i with respect to i.
9*d**3*i**2 - 2*d**3 + 18*d
Find the third derivative of 1213*w*y*z**6 + 3*w*y*z**2 - w*z**2 - 8*w*z + 2*y*z**6 + 9*y*z + 2*z wrt z.
145560*w*y*z**3 + 240*y*z**3
What is the first derivative of -198*p**4 - 65?
-792*p**3
What is the third derivative of -3*d**5 + 13*d**3 - 274*d**2?
-180*d**2 + 78
Differentiate -249*i + 2527 wrt i.
-249
What is the third derivative of -2*b**3*j**3 + 382*b**3*j**2 - 12*b**2*j**3 - 12*j**2 wrt b?
-12*j**3 + 2292*j**2
What is the third derivative of -391*i**3*n**3 - 2*i**3*n**2 + 22*i**2*n**3 - 2*i**2 wrt i?
-2346*n**3 - 12*n**2
What is the first derivative of 2*h*k*t + h*k - 119*h*t + 5*k*t - 3*t + 1 wrt h?
2*k*t + k - 119*t
Find the third derivative of 13256*z**3 - 12551*z**2.
79536
What is the second derivative of 3305*g**2 + 208*g - 3?
6610
What is the derivative of -2*i**3*s**2 - 3*i*s**3 + 10*i*s + 445*s**3 wrt i?
-6*i**2*s**2 - 3*s**3 + 10*s
Find the third derivative of p*s**5 + 12*p*s - 149*s**5 + 2*s**2 wrt s.
60*p*s**2 - 8940*s**2
What is the first derivative of -61*h**2 + h + 1125 wrt h?
-122*h + 1
Find the third derivative of -416*v**4 + 653*v**2 wrt v.
-9984*v
What is the second derivative of -187*x**3 + 2*x + 121?
-1122*x
W
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{
"pile_set_name": "DM Mathematics"
}
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2*l
Let c(s) = -4*s - 2. Let v(t) = 5*t + 2. Suppose -n + 5*n + 14 = -2*j, 3*n = 0. Calculate j*c(k) - 6*v(k).
-2*k + 2
Let g(t) = -5*t**3 + 2*t - 2. Suppose 24 = -36*a + 48*a. Let w(h) = -15*h**3 + 7*h - 7. Give a*w(s) - 7*g(s).
5*s**3
Let i(c) = -15*c + 7*c**2 + 5*c + 8*c + 1. Let b(a) = -a**2 + a. Calculate 5*b(s) + i(s).
2*s**2 + 3*s + 1
Let w(j) = -18*j**2 - 2*j + 3. Let v(p) = 33*p**2 + 4*p - 6. Determine -3*v(l) - 5*w(l).
-9*l**2 - 2*l + 3
Let g(k) = 2*k - 11. Let a(f) be the first derivative of -4 + 5*f - 1/2*f**2. What is 9*a(s) + 4*g(s)?
-s + 1
Let v(w) = w - 56. Let r(m) = 1. Calculate 2*r(z) + 2*v(z).
2*z - 110
Let f(g) = -40*g**3 + 50*g - 50. Let k(z) = 0*z**3 + z - 771 + 770 - z**3. What is -f(q) + 50*k(q)?
-10*q**3
Let x(s) be the third derivative of -s**5/15 + 130*s**2. Let i(v) = 17*v**2. Calculate -2*i(f) - 9*x(f).
2*f**2
Let m(d) = 21*d - 4. Let z(l) = l. Determine -m(k) + 2*z(k).
-19*k + 4
Let u(v) = -1. Let o = -248 + 249. Let a(r) = -r**2 - 6. Determine o*a(h) - 6*u(h).
-h**2
Let s(z) = 2*z**2 - 4*z. Let o(p) = 5*p**2 - 9*p + 2. Let n(f) = -1. Let y(l) = -6*n(l) - 3*o(l). Give 27*s(m) + 4*y(m).
-6*m**2
Let b be 0 + 0 + 10/2. Let m be 3/(408/64 + -6). Let k(v) = -4*v - 3. Let a(h) = 6*h + 5. Calculate b*a(f) + m*k(f).
-2*f + 1
Let m(j) = -42*j + 7. Let d(i) = 83*i - 13. Determine -6*d(v) - 11*m(v).
-36*v + 1
Let a(z) = 5*z**2 - 2. Let f(c) = 476 - 955 + 3*c**2 + 6*c**2 + 476. Suppose -4*l + 17 = s, -7 = s - 3*l - l. Give s*a(d) - 3*f(d).
-2*d**2 - 1
Let s(p) = -p**2 - p - 7. Let d(f) = -6*f**2 - 4*f + 7. Let j(k) = d(k) + s(k). Let w(l) = 7*l**2 + 4*l. Determine -4*j(o) - 5*w(o).
-7*o**2
Let c(l) = 6*l + 2. Let t(f) = 6*f + 2. Let k(i) = -6*c(i) + 7*t(i). Let w(d) = -7*d - 2. Give -4*k(p) - 3*w(p).
-3*p - 2
Let v(y) = y + 2. Let b(w) = 7*w + 247. Calculate -b(c) + 4*v(c).
-3*c - 239
Let c(n) = -n**2. Let w(s) = s**3 - 6*s**2 - 28*s. Give 6*c(p) - w(p).
-p**3 + 28*p
Let v(i) = 3*i**2 - 53*i + 35. Let p be v(17). Let g(r) = r + 1. Let l(b) = 3*b + 6. Suppose 4*t = t + 12, 5*z + 2*t + 22 = 0. What is p*l(y) + z*g(y)?
-3*y
Let n(y) = 422*y. Let g(d) = -d. Determine -5*g(u) - n(u).
-417*u
Suppose -126 = -37*y + 19*y. Let m(i) = -i**2 + 7*i - 7. Let o(n) be the second derivative of -n**3/3 + n**2 - n. What is y*o(v) + 2*m(v)?
-2*v**2
Let l(c) be the first derivative of -3*c**2 - 54*c + 42. Let j(b) = 2. Give 54*j(y) + 2*l(y).
-12*y
Let s(t) = -3*t. Let w(p) = 10*p - 1. Determine -2*s(n) + w(n).
16*n - 1
Let n(s) = 3*s - 4. Let v(b) = -8*b + 12. Suppose 12 + 0 = -4*c, -4*r = c - 41. Determine r*n(q) + 4*v(q).
q + 4
Let f(c) = -16*c**3 + 3*c + 3. Let x(b) = 51*b**3 - 12*b**2 - 7*b - 13. Let p(o) = -3*o**3 + 2*o**2 + 1. Let v(q) = 6*p(q) + x(q). What is -7*f(d) - 3*v(d)?
13*d**3
Let p(z) = z. Let i(c) be the second derivative of -5*c**3/6 - c**2/2 - 2*c - 44. Determine -i(a) - 3*p(a).
2*a + 1
Let k(h) = -223*h**2 + 12. Let y(a) = 334*a**2 - 19. Determine 8*k(l) + 5*y(l).
-114*l**2 + 1
Let o(b) = -b**3 - 3*b**2 - 4*b - 3. Let x(g) = -14*g**2 - g - 25. Let t(v) = -5*v**2 - 9. Let f(a) = 8*t(a) - 3*x(a). Determine -3*f(w) - 2*o(w).
2*w**3 - w - 3
Let q(l) = -16 - 15 - 19 - 4*l + 44. Let i(x) = -3*x - 6. Determine -5*i(u) + 4*q(u).
-u + 6
Let v(g) be the first derivative of -2*g**3/3 - g**2/2 + 3*g - 16. Let q be (-6)/4 + 7/(-2). Let a(w) = 3*w**2 + 2*w - 5. Give q*v(k) - 3*a(k).
k**2 - k
Let x(o) = 9*o**3 - 5*o**2 + 2*o**2 - 8*o**3 + 4*o**2 - o. Let n(r) = r**3 + 2*r**2 - 2*r. What is n(s) - 2*x(s)?
-s**3
Let s(b) = -2*b**2 - 4*b. Let y(r) = 2*r - 2. Let g be y(3). Let k(f) be the third derivative of f**5/60 + f**4/8 + 45*f**2. Calculate g*k(o) + 3*s(o).
-2*o**2
Let a(f) = f + 1. Suppose -791 = -2*d + 5*c, 0*c - 3*c + 412 = d. Let u(b) = d*b - 406*b + 1 - 3. Determine -4*a(i) - u(i).
-i - 2
Let a(q) = 320*q**3 + 5*q**2 - 5*q - 7. Let u(f) = -160*f**3 - 3*f**2 + 3*f + 4. Give -3*a(i) - 5*u(i).
-160*i**3 + 1
Let u(a) = -16*a**3 + 3*a**2 - 3*a - 3. Let y(i) = 481*i**3 - 91*i**2 + 91*i + 91. Suppose 0 = 5*k + 5*v - 82 + 42, -3*k + 29 = 4*v. What is k*y(r) + 91*u(r)?
-13*r**3
Let q(r) = r**2 - 11*r + 5. Let o be q(10). Let j(m) = m**3 + 4*m + 4. Let z be (-25)/(-10) + 3/(-6). Let s(l) = 1 - 2 + 1 - 2 - z*l. Give o*s(k) - 2*j(k).
-2*k**3 + 2*k + 2
Let c(t) = -22*t**2 + t - 3. Let v(f) = -64*f**2 + 2*f - 8. Determine -17*c(i) + 6*v(i).
-10*i**2 - 5*i + 3
Suppose 2*u + r = -2*r + 22, -5*r = 2*u - 30. Let d(o) = 7*o - 3. Let a(c) = -20*c + 8. Give u*a(g) + 14*d(g).
-2*g - 2
Let p(b) = -b**2 - 5*b + 2. Let j be p(-5). Let d(s) = s + 10. Let l(c) = 1 - 1 - 2 + 5. Let z = -109 + 102. Calculate j*d(u) + z*l(u).
2*u - 1
Let v be (3/(-9))/((-3)/9). Let b(j) = -2*j - 4*j + 0*j. Let d(i) = i. What is v*b(c) + 4*d(c)?
-2*c
Let o(k) = -k - 1. Suppose -19*l - 16 - 3 = 0. Suppose 3*d + v = 27, -2*v + v = d - 7. Let u be 1 + d*(-2)/(-4). Let b(p) = -5*p - 5. What is l*b(q) + u*o(q)?
-q - 1
Let y(g) = -g + 2. Let j(l) = l**3 - 2*l + 5. Suppose -u + 19 = 15. Give u*j(c) - 10*y(c).
4*c**3 + 2*c
Let u(g) = 34*g**3 + 51*g**2 + 34*g - 11. Let h(s) = 7*s**3 + 9*s**2 + 7*s - 2. Calculate -11*h(b) + 2*u(b).
-9*b**3 + 3*b**2 - 9*b
Suppose 3*q = 7*q + 4*r, 0 = q - 4*r. Let k(y) = -y - y - 4 + q*y. Let v(t) = -1. Let l(f) = -f + 4. Let u(m) = 2*l(m) + 11*v(m). Give -5*k(p) + 6*u(p).
-2*p + 2
Let i be (-3 - (-14)/10)*5. Let m(o) = -2*o - 2. Let r(s) be the third derivative of 0 - 1/24*s**4 + 8*s**2 + 0*s - 1/6*s**3. Calculate i*r(c) + 5*m(c).
-2*c - 2
Let a(j) = j**3 + j**2 + j + 1. Suppose 20*r = 23*r + 3. Let u(n) = 4*n**3 + 5*n**2 + 5*n + 5. Give r*u(g) + 5*a(g).
g**3
Let f(z) = -1367*z + 6. Let q be f(0). Suppose 2*y - 30 = -3*y. Let c(p) = -3 - 2*p**2 - 4 + 0*p**2 - y*p. Let s(k) = 2*k**2 + 7*k + 8. What is q*s(w) + 7*c(w)?
-2*w**2 - 1
Let n(v) = 8*v - 5. Let z(s) = -s - 1. Calculate -n(m) + z(m).
-9*m + 4
Let z(u) = 8*u**2 - 6*u. Let a = -1332 - -1331. Let s(b) = -b. What is a*z(k) + 6*s(k)?
-8*k**2
Let q(m) = 396*m - 28. Let z(w) = 57*w - 4. Give 3*q(a) - 20*z(a).
48*a - 4
Let v(r) = 189*r**2 - 9*r + 16. Let n(x) = 283*x**2 - 13*x + 23. Give 5*n(b) - 7*v(b).
92*b**2 - 2*b + 3
Let v(r) be the third derivative of 5*r**4/8 - r**3/6 - 541*r**2 - r. Let j(a) = a. What is 6*j(m) - v(m)?
-9*m + 1
Let b(t) = 19*t - 2. Suppose -f = d - 172, 84 - 85 = -f. Let a(g) = 1615*g - 171. What is d*b(k) - 2*a(k)?
19*k
Let t(d) = -14*d**2 - 121*d - 17. Let l(h) = -5*h**2 - 40*h - 6. Determine -17*l(z) + 6*t(z).
z**2 - 46*z
Let z(r) = -9*r + 2. Let n(p) = -2*p + 1. Give 4*n(a) - z(a).
a + 2
Suppose -2*k = -6*k + 8. Let m(c) = 11 + 4*c + k*c - 14 + 9. Let n(i) = 5*i + 5. Let z(h) = h**3 + 5*h**2 + 6*h + 5. Let x be z(-4). What is x*m(a) + 4*n(a)?
2*a + 2
Let y(j) = -29*j - 2. Let l(p) = p - 1. Determine 4*l(v) - y(v).
33*v - 2
Let i(p) be the second derivative of 5*p**4/12 + 4*p**3/3 + 3*p**2/2 - p - 70. Let w(h) = -14*h**2 - 23*h - 8. Give -11*i(t) - 4*w(t).
t**2 + 4*t - 1
Let u(i) = -5*i - 4. Suppose -5*r = -5*k - 1165, 4*k = 3*r - 410 - 523. Let w be 0 + 2/4 - k/(-52). Let y(v) = 10*v + 7. Determine w*y(p) - 7*u(p).
-5*p
Suppose d - 102 = -0*d. Suppose -7*v = -v + d. Let c(p) = 11*p**3 - 17*p**2 - 11*p. Let g(j) = 4*j**3 - 6*j**2 - 4*j. Determine v*g(n) + 6*c(n).
-2*n**3 + 2*n
Let s(z) = 14*z + 7. Suppose 5*t + 0*x - 5 = -x, 4*x + 22 = t. Let y(i) = 5*i + 2. Calculate t*s(g) - 7*y(g).
-7*g
Suppose 3*u - 13 = 8. Suppose 0 = -u*v + 12 + 16. Let z(i) = 3*i. Let p(y) = -3*y. Calculate v*p(g) + 3*z(g).
-3*g
Let k(d) = 7*d**3 - 6*d**2 + d. Let c(m) = 6*m**3 - 5*m**2 + 2. What is -4*c(u) + 3*k(u)?
-3*u**3 + 2*u**2 + 3*u - 8
Let q(c) = -5*c**3 + 2*c**2 + 6*c + 4. Let i(m) = 11*m**3 - 5*m**2 - 13*m - 9. Let g be (-3)/(11/(-396)*-12). What is g*q(a) - 4*i(a)?
a**3 + 2*a**2 - 2*a
Let b(u) be the second derivative of 7*u**3/6 - 2*u**2 + u. Let c(w) = -w + 1. Let i(q) = q - 1. Let h(o) = c(o) + 2*i(o). Determine -b(l) + 4*h(l).
-3*l
Let c(q) = 13*q + 38. Let o(w) = 4*w + 1. Calculate -2*c(i) + 6*o(i).
-2*i - 70
Suppose 0 = 5*q + 5*g - 10, -3*q + 4*q + 4*g - 17 = 0. Let b(i) = -5*i + 7*i + 6 - 5 - 2. Let w(l) = 4*l - 2. Determine q*w(n) + 5*b(n).
-2*n + 1
Let c(p) = 1. Let s(g) = 19*g - 9. Calculate 6*c(x) + s(x).
19*x - 3
Let n(t) = 6*t**3 + 5*t**2 + t + 10. Let p(o) = 12*o**3 + 10*o**2 +
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{
"pile_set_name": "DM Mathematics"
}
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- 4*m**3 + 0*m**3 + (m**3 + 3*m - 3*m)*(-2 + 2 - 2) - 4 + 4 - 2*m**3.
13*m**3 + 3
Expand (2*i**3 - i**3 - 2*i**3)*(-6*i**2 - 3*i + 3*i) - 3*i**5 + i**5 + i**5 + (0 + 2*i + 0)*(0*i + i**4 + 0*i).
7*i**5
Expand (-6*v + 3*v + 2*v)*(3 - 3 - v**2) + (42 - 42 + 389*v**2)*(-v - 1 + 1).
-388*v**3
Expand (2 - 2 - 3*c)*(3338 - 3350 + 3*c - 4*c)*(-2*c**2 + 0*c**2 + 4*c**2).
6*c**4 + 72*c**3
Expand (6885*u**2 - 13769*u**2 + 2*u + 152 + 6886*u**2)*(5*u**2 + 3*u**3 - 5*u**2).
6*u**5 + 6*u**4 + 456*u**3
Expand (-1 + 5 - 6)*(-3 + 1 + 1)*(5*h**2 + h - h) - 190 + 190 - 219*h**2.
-209*h**2
Expand (-1 + 5 - 2)*(3*q**2 - 3*q**2 + 2*q**3) - 1 + q**3 + 1 - 56687 + 5*q**3 + 5*q**3 + 56688.
15*q**3 + 1
Expand (-26 + 6 + 12)*(-5*w - w + 3*w)*(6*w - 3*w - w) + (w**2 - 2*w + 2*w)*(-1 - 4 + 3).
46*w**2
Expand (-61*d + 3 + d**3 + 61*d)*((1 - 1 - 2*d)*(-2 - 1 + 1) + (3 - 1 + 0)*(77*d + 87*d - 145*d)).
42*d**4 + 126*d
Expand (8 - 1 + 2425*i - 2445*i)*(-3*i + 3*i + 3*i).
-60*i**2 + 21*i
Expand (x + 2*x - x)*(17*x + 15*x + 5*x)*(-4*x + 8*x - x).
222*x**3
Expand -64*f**2 + 105 - 105 - f**2 + 2*f**2 - 5*f**2 + (2*f + 0 + 0)*(f - 3*f + 3*f) + 2*f**2 - 5*f**2 + 4*f**2.
-65*f**2
Expand (-c + c**3 + 184*c**2 - 373*c**2 + 195*c**2)*(-8*c - 14 + 14).
-8*c**4 - 48*c**3 + 8*c**2
Expand (-2*l + 0*l + 6*l)*(16*l + 33 - 33)*(-3 - 1 + 6)*((-3 + 3 + 2)*(0*l - 2*l + l) + 0*l - l - 3*l).
-768*l**3
Expand (1 + 4 - 6)*(0*k - k + 0*k + 2 - 2 - 2*k + (-4*k + 6*k - k)*(-2 + 3 - 3) + (24*k + 9 - 9)*(3 + 0 - 1))*(2 + 1 - 4).
43*k
Expand (-2 - 1 + 4)*(-74*y**2 - 22*y**2 - 11*y**2) - 2*y**2 - 3*y**2 + 3*y**2 + 0*y**2 + 2*y**2 + 0*y**2.
-107*y**2
Expand (8186*g - 4096*g - 4092*g + 68)*(-g - g + 0*g)*(-1 - 2 + 1).
-8*g**2 + 272*g
Expand (2*x**2 - 4*x**2 + 0*x**2)*(-129 + 242 - 113 + 2236*x).
-4472*x**3
Expand (3 - 3 + 7 + 2*d)*(1 - 9 + 2 - d).
-2*d**2 - 19*d - 42
Expand (-3*w + 86 + 2*w + 0*w)*(24*w**2 - 5*w**2 - 3*w**2).
-16*w**3 + 1376*w**2
Expand 2*b - 2*b**3 - 1 + 1 + 162*b**3 - 37*b**3 + 97*b**3 + (-b**2 - 2*b + 2*b)*(2 - 2 - 2*b) + 2*b**3 - 3*b**3 - 2*b**3.
219*b**3 + 2*b
Expand (2*x**4 - 3*x**4 + 2*x**4)*(5 - 2 - 2)*(3*x + 0*x - x + (4*x - 6*x + 3*x)*(-4 - 1 + 2)).
-x**5
Expand (3*t**3 + t**2 + 2*t**2 - 13 + 12)*(-47*t**2 + 74 - 74).
-141*t**5 - 141*t**4 + 47*t**2
Expand (-14356 - 293*q + 14356)*(1 + 1 - 1)*(-5 + 2 + 2).
293*q
Expand (-112*k - 43*k - 64*k)*(k + 2*k + 0*k).
-657*k**2
Expand (-2 + 14 + 6)*(-5*i + i + 2*i)*(0 + 4 + 19).
-828*i
Expand (-99 + 99 + 5*d)*(3*d**3 + 2*d**4 - 3*d**3) + 4*d**2 - 4*d**2 - 3*d**5 + (-d + d - 2*d**2)*(-d**3 - 1 + 1).
9*d**5
Expand (2*u - 3*u + 0*u)*(2 - 1 + 0) + 3*u - 3*u - u + u + 12*u + 5*u + 3*u - 2*u - 2*u.
15*u
Expand (c**2 + 3*c**4 - c**2)*(-108 + 10 + 15 - 162).
-735*c**4
Expand (5 - 5 - 2)*(-8*b - 4*b - 2*b)*(-3*b**2 - b**2 + 10*b**2).
168*b**3
Expand ((-x - x + 3*x)*(x - 2 + 2) + 18 + 25*x**2 - 18)*(-16*x - 16*x + 13*x).
-494*x**3
Expand (-5 + 2 + 2)*(-18*q**2 + 0*q**2 - 20*q**2)*(1 - 4*q - 1).
-152*q**3
Expand (-42 + 29 - 29)*(-5*j**2 + 20 - 20)*(3*j**2 - 4*j**2 - j**2).
-420*j**4
Expand 3 - 2*h - 3 + (-4*h + 2*h + h)*(-2 + 1 + 6) + 22 - 22 - 12*h.
-19*h
Expand (-10 + 4 + 1)*(3*c**4 - 3*c**4 - 3*c**5).
15*c**5
Expand (0 + 2*c + 3 - 6)*(-193*c**3 - 189*c**3 + 249*c**3) + c**4 - 6*c**4 + 3*c**4.
-268*c**4 + 399*c**3
Expand (2 - 2 - a)*(0*a - 5*a + 4*a)*(-2 - 1 + 5).
2*a**2
Expand (10*h**2 + 9*h**2 + 2*h**2)*(-h + h - h + (-2 + 1 + 2)*(-4*h + h + 5*h) + 2*h - 5*h + h).
-21*h**3
Expand -2*u**2 + 2*u**2 - u**2 + (3 + 2 - 7)*(2*u**2 - 4*u**2 - 12*u**2) - 3*u**2 + 0*u**2 + u**2 + 6 - 6 - 2*u**2.
23*u**2
Expand (18*c**2 - 36*c**2 - 9*c**2)*((2 + 1 - 2)*(3*c**3 + c - c) + 0*c**2 - 2*c**3 + 0*c**2).
-27*c**5
Expand (2*r + 1 - 1)*(r**4 + 3*r**2 - 3*r**2) - 3*r**3 + 3*r**3 + 20*r**5.
22*r**5
Expand 2 - 2 - 4*b**3 + (-5*b**3 + 3*b**3 + 3*b**3)*(0 + 2 + 0) + 941*b + 15*b**3 - 941*b.
13*b**3
Expand (706*m - 1656*m + 531*m)*(-2*m**2 + 2 - 2).
838*m**3
Expand 1 - 2*m - 1 + (76*m + 160*m - 122*m)*(-5 + 2 + 4).
112*m
Expand (-3 - 2 + 6)*(-3*c**4 + 0 + 0) + (4*c - 2*c - 6*c)*(-3*c**3 - 6*c**3 + 3*c**3).
21*c**4
Expand (-2 - 2*r + 2)*(0*r + 17*r**2 + 0*r) + (-4 + 4 - r**2)*(3*r - 9*r + r) + (4 - 2 + 0)*(0*r**3 + 5*r**3 - 4*r**3).
-27*r**3
Expand -6 + 6 - 3*w + (-2 + 0 + 0)*(-2 + 2 + 2*w) - 15*w - 3 + 3 - 2.
-22*w - 2
Expand (-7 + 5 - 32 - 26)*(-2 + 2*z + 2).
-120*z
Expand (-5 + 24 + 10)*(-5*l + 0*l + 4*l) + (3 - 2 + 1)*(-3*l + 4*l - 3*l).
-33*l
Expand (36 - 7 + 31)*(2*l + 0*l - 4*l) + 20*l - l - 3*l.
-104*l
Expand (7*k**2 + 3*k**2 - 3*k**2)*(-3*k**2 + 4 - 4) + (0*k + 3*k - 4*k)*(k**2 - k**2 + k**2 + 3*k**3) + 3*k**4 + 0*k**4 - 4*k**4.
-25*k**4 - k**3
Expand 2*f**2 - 2*f + 2*f + 9*f**2 + 0*f + 0*f - 11 - 14*f**2 + 11 + (-4*f + 3*f - f)*(-1 - f + 1).
-f**2
Expand 3*w**2 + 4*w + w - 4*w + (w - 4*w + w)*(1 - 2*w - 1).
7*w**2 + w
Expand (b**3 - 1 + 1)*(1 + 1 - 1) + (24*b + 50*b - 11*b)*(-12 + 12 - 8*b**2) - 2*b**3 - 3*b**2 + 3*b**2.
-505*b**3
Expand ((o + 0*o + 2*o)*(2*o**2 + 2*o - 2*o) - 29*o**3 - 7*o**3 - 23*o**3)*(-1 - 2 + 2).
53*o**3
Expand (1 + 1 - 1)*(-7*n + n - 4*n).
-10*n
Expand (2*j**3 - 2*j**3 + j**4 + (-j + j + 2*j**3)*(-4*j + 4*j - j) + 6*j - 6*j + 2*j**4)*(-37*j - 8 + 1 + 6).
-37*j**5 - j**4
Expand (-5 - 22 - 56)*(0*z + 0*z + 2*z) - 3*z - 2*z + 3*z.
-168*z
Expand -y - 3*y + y + (-3 + 6 - 2)*(-24*y + 362 - 362).
-27*y
Expand (346*y**3 - 346*y**3 - 12*y**5)*(-2 + 3 + 5).
-72*y**5
Expand (-77 + 167 - 83 + 2*z)*(2 - z + 6*z - 4*z).
2*z**2 + 11*z + 14
Expand -4*b**2 + 5*b**2 + 2*b**2 + (2*b - 3*b - b)*(14*b + 8*b - 6*b).
-29*b**2
Expand (113*l + 752*l + 124*l + 145*l - 2)*(-2 + 0 + 0).
-2268*l + 4
Expand (3 - 11 + 4)*(0 - 1 + 2 + 6 + 0 - 3 + (-2 + 1 - 1)*(4 - 2 - 3) + (-6 + 1 + 3)*(-2 - 1 + 0))*(-3*o + 5*o + 0*o).
-96*o
Expand 6*p**2 + 2*p - 2*p + (-7*p + p + p)*(4*p - 3 + 3).
-14*p**2
Expand -w**5 - 21*w**3 + 12*w**3 + 11*w**3 - 16*w**2 - w**5 + 2*w**2 - 2*w**2 + (2 - 2 + w**2)*(3*w**3 - 2*w**3 - 2*w**3).
-3*w**5 + 2*w**3 - 16*w**2
Expand -5*r - 2 + 4 - 3 + (-1 + 4 - 4)*(r - 4*r + r) - r + 0 + 0 - 7*r + 2*r - 12*r.
-21*r - 1
Expand (-471*q**3 + 412*q**3 + 949*q**3)*(q - 2 + 2) + 2*q**4 + 2*q**3 - 2*q**3.
892*q**4
Expand (-185*k + 196*k + 142*k)*(-5*k + k + 2*k) - 2*k**2 - 3*k + 3*k + (0*k + 2*k + 0*k)*(-2*k - 2*k + 2*k).
-312*k**2
Expand (1 + 0 - 2 + (2 + 3 - 4)*(-3 + 0 + 1))*(-18*w - 34*w - 166*w).
654*w
Expand -11*y**5 - 63 + 63 + (-y + 4*y - y)*(y**4 - 2*y**4 - y**4) + 5*y**5 + 0*y**5 + y**5 + 2*y**3 - 2*y**5 - 2*y**3.
-11*y**5
Expand (-l + 0*l + 2*l)*(-2 + 0 - 2)*(25 - 16 - 21 - 13).
100*l
Expand (3*o - 7*o + 2*o)*(63*o**3 + 2*o - 2 - 162*o**3 - 5*o**3).
208*o**4 - 4*o**2 + 4*o
Expand 0*w - 2*w + 4*w - w + 0 + 0 - w + w + 2*w + (2 + 3 - 3)*(-2*w + 2*w - w) - 2 + w + 2 + 144*w - 4*w + 128*w.
270*w
Expand (6*s**3 + 9*s**3 - 13*s**3)*(-8*s**2 + 4*s**2 + 12*s**2).
16*s**5
Expand (-2 - 3 + 2)*(-2 - 142*j - 119*j**2 - 118*j + 260*j).
357*j**2 + 6
Expand (7*g**3 + 7*g**3 - 6*g**3)*(-6 + 3 + 4)*(3*g + 0*g + 3*g).
48*g**4
Expand (-3*k + 2*k + 4*k)*(6*k**2 + 3*k**2 + 16*k**2).
75*k**3
Expand (-157*p + 76*p + 69*p)*(-5*p**4 + 0*p**4 - 3*p**4).
96*p**5
Expand (3 - 14 + 0)*(2*r**4 + 2*r**2 - 2*r**2)*(6 - 10*r - 6).
220*r**5
Expand (2*r**3 - 4*r**3 - 3*r**3)*(4*r + 0 + 0)*(1 - 2 + 2)*(r + 2 - 2).
-20*r**5
Expand 83*z**4 + 60*z**4 - 49*z**4 + (0*z + 3*z - z)*(4*z**3 - 3*z**3 + 0*z**3).
96*z**4
Expand (2*m + 2 - 2)*(0*m + m**4 + 0*m) + 273*m**5 + 14*m**2 - 3*m**4 + 0*m**4 - 271*m**5.
4*m**5 - 3*m**4 + 14*m**2
Expand (-6*v - v + 4*v)*(3 + 23 + 15)*(-5*v**4 - 2*v**4 + 4*v**4).
369*v**5
Expand (-2*t + 2*t + t + (3*t - 3*t - t)*(0 + 3 - 5) + t + t - t + 3*t - 4*t + 2*t)*(7 + 66 + 71).
720*t
Expand (5*m - 2*m - m)*(-903*m**2 - 207*m**2 - 16*m**2) + 1 - 1 + 2*m**3.
-2250*m**3
Expand (-23*i - 98*i - 14*i)*(2*i - 5*i - 3*i - i).
945*i**2
Expand 0*i - 13*i - 12*i + (-1 - 2 + 1)*(2*i - i + 0*i).
-27*i
Expand (-v**2 - 3*v**2 + 6*v**2)*(3*v - 3*v - 2*v + (0*v + 2*v + 12*v)*(-8 - 1 + 6)).
-88*v**3
Expand (-258*x - 28*x**3 + 258*x)*(3*x + 0 + 0*x + 3 + 11).
-84*x**4 - 392*x**3
Expand (2 - 15 - 8)*(5*k**2 + 6*k**2 - 8*k**2).
-63*k**2
Expand (-116*h**3 - 66*h**3 + 233*h**3)*(0 + 2*h**2 + 0 + (-2*h - h + 5*h)*(h - 3 + 3)).
204*h**5
Expand -4*n**2 + 4*n**2 - 2*n**4 - 2*n**3 - 2*n**4 + 2*n**3
|
{
"pile_set_name": "DM Mathematics"
}
|
95640*f + 7
Differentiate -134372326*w + 82192010 wrt w.
-134372326
What is the second derivative of 331*v**3*y - v**3 - 9807*v**2*y + 6*v*y - 3660*v + 243*y wrt v?
1986*v*y - 6*v - 19614*y
What is the first derivative of -5336236*d - 756578 wrt d?
-5336236
What is the third derivative of -2*z**5 - 3840970*z**4 + z**3 + 274*z**2 - z - 3263?
-120*z**2 - 92183280*z + 6
What is the second derivative of 576193576*w**2 + 68188726*w wrt w?
1152387152
Find the second derivative of 129414705*n**3 + 2184*n + 276 wrt n.
776488230*n
Find the third derivative of 372358664*a**5 + 2*a**2 - 1332656*a.
22341519840*a**2
Find the first derivative of 34130*s**2*w - 19*s**2 + 1687*s*w**2 - 1034*s - w**3 + 253 wrt w.
34130*s**2 + 3374*s*w - 3*w**2
What is the first derivative of -10*v**3*x**3 - 2866034*v**3*x**2 + 539*v**3 - 69*v**2 - v - 11 wrt x?
-30*v**3*x**2 - 5732068*v**3*x
What is the derivative of -7660741*n*r*y - 2*r*y + 19*r + 9*y - 1206 wrt n?
-7660741*r*y
Find the second derivative of -230113*d**3 + 13*d**2 + 26371524*d wrt d.
-1380678*d + 26
Find the second derivative of 7827207*i**2 + 6805174*i - 2.
15654414
Find the second derivative of 56665*s*t**3 - 5*s*t**2 + 11355*s*t + 7*t**3 + t**2 - 192*t - 1 wrt t.
339990*s*t - 10*s + 42*t + 2
Differentiate -3099962*a**2 + 640741.
-6199924*a
Find the first derivative of -170839*m**3 - 2810*m**2 - 1227880856.
-512517*m**2 - 5620*m
What is the third derivative of -3*d**3*f**3 - 4*d**3*f**2 + 379843*d**2*f**2 + 72*d*f**3 - 115332*f**3 - 9 wrt f?
-18*d**3 + 432*d - 691992
Find the first derivative of 2438407*a**3*h*t**2 - 5*a*h*t**2 + h*t - 11427*h - 42*t**2 + 5*t wrt a.
7315221*a**2*h*t**2 - 5*h*t**2
Find the third derivative of 55*o*v**4 + o*v**3 - 2*o*v**2 + 5*o*v - 50930*v**3 + 61874*v**2 - 2 wrt v.
1320*o*v + 6*o - 305580
What is the second derivative of 431330663*i**2*p**2 - 1507*i**2*p - 2*i**2 + i*p - 83*p + 1 wrt p?
862661326*i**2
Find the second derivative of -51*g**4*k**3 + 38574*g**2*k**3 - 10*g*k**3 - 3*g*k**2 - 24*g + 206*k**3 wrt g.
-612*g**2*k**3 + 77148*k**3
What is the third derivative of 5213980*s**5 + 11567525*s**2 wrt s?
312838800*s**2
Differentiate -6209120*m**4*s**2 - m**2*s**3 - 4681*s**3 - 2*s**2 + s - 36 wrt m.
-24836480*m**3*s**2 - 2*m*s**3
What is the second derivative of 10658*p**4 + 185*p**3 - 2*p**2 + p + 167308407?
127896*p**2 + 1110*p - 4
What is the third derivative of 769493247*b**3*c**3 - 3*b**2*c**2 + 2*b*c**3 - 5*b*c**2 - 5*c**2 - 4576*c - 33 wrt b?
4616959482*c**3
Differentiate 4*g**3 + 1699028*g**2 + 113439611 wrt g.
12*g**2 + 3398056*g
Find the first derivative of -2*m*o + 160942032*m - 202208223*o wrt o.
-2*m - 202208223
Find the third derivative of 2793631*w**4 + 24*w**3 + 246*w**2 + 5*w + 4264.
67047144*w + 144
Find the second derivative of -361706069*v**2 + 336892586*v.
-723412138
Find the second derivative of -d*j**2 + 47338*d*j - 32*d - 8634430*j**4 - 10*j wrt j.
-2*d - 103613160*j**2
What is the second derivative of 25*x*z**3 + 41486*x*z**2 + 144*x*z - 6797*x - 2*z**3 wrt z?
150*x*z + 82972*x - 12*z
What is the third derivative of -5793*m**6 - 1941*m**4 - m**3 - 3*m**2 - 2*m + 266170 wrt m?
-695160*m**3 - 46584*m - 6
What is the first derivative of -928513561*h**3*m**2 - h**3 - 391855735*m**2 wrt h?
-2785540683*h**2*m**2 - 3*h**2
What is the second derivative of -122497073*d**2 + 109*d + 86922 wrt d?
-244994146
What is the third derivative of -832385593*z**4 - 19353656*z**2 - 5 wrt z?
-19977254232*z
Differentiate 599146656*h*r + 2*r + 1069461208 wrt h.
599146656*r
What is the second derivative of 11*d**2*v**2 - 1549*d**2*v + 2687*d**2 - 777943973*d*v**2 wrt d?
22*v**2 - 3098*v + 5374
Differentiate -46120155*c + 57842717.
-46120155
Find the first derivative of -15*b*r**3 - 20*b*r - 2064*b + 3*r**3 - 2*r**2 + 2*r + 22179 wrt b.
-15*r**3 - 20*r - 2064
Differentiate -531*b*l**2 + 2511204*b + 24691*l**3 + 34 wrt l.
-1062*b*l + 74073*l**2
Find the second derivative of -199*j**3 + 138885*j**2 + 118867176*j wrt j.
-1194*j + 277770
What is the second derivative of 11413956*u**5 - 4843538*u?
228279120*u**3
What is the third derivative of 10970995*v**3*y**2 + v**3*y + 3*v**2*y**2 - 2*v**2*y + 251*v*y**2 + 6*v*y + 132 wrt v?
65825970*y**2 + 6*y
Find the second derivative of 2*n**2*x + 57646036*n**2 - 95586*n*x - 118*x - 1 wrt n.
4*x + 115292072
Find the second derivative of -469884934*m**2*q + 26*m*q - 474*m - 2*q + 593 wrt m.
-939769868*q
Differentiate 89*k**2 - 52012*k*y**2 + 211045177*y**2 with respect to k.
178*k - 52012*y**2
Differentiate -588544*y**3 - 3*y**2 - 6*y + 33908117 with respect to y.
-1765632*y**2 - 6*y - 6
Find the second derivative of 22188164*k**4 + 3078281*k.
266257968*k**2
What is the first derivative of 58600858*y**2 + 4*y + 363148639?
117201716*y + 4
What is the second derivative of 19999518*n**3*r**2 + n**3*r + n**2 - 4*n*r**2 - 216*r**2 + 3894 wrt n?
119997108*n*r**2 + 6*n*r + 2
Differentiate g*r + 3975540*g - 9200679*r wrt g.
r + 3975540
What is the first derivative of -771829226*r - 681412746 wrt r?
-771829226
Find the third derivative of 281*a**4*v + 974*a**4 - a**3*v + 3*a**2*v + 6313*a*v + 60*v wrt a.
6744*a*v + 23376*a - 6*v
Find the second derivative of -75*w**2*y**4 - 229118*w**2*y**2 + 58*w**2*y + 14*w**2 + w*y + 846*w + 1 wrt y.
-900*w**2*y**2 - 458236*w**2
Find the second derivative of 793067*m*u**2 + 11*m*u - 8*m + u**2 + 11*u - 386 wrt u.
1586134*m + 2
Find the third derivative of 4*j**5*l**3 - 20623142*j**3*l - 505546*j**2*l**2 - 272*j*l**3 wrt j.
240*j**2*l**3 - 123738852*l
Find the first derivative of -3*f*h**2 - 54209*f + 61655*h**2 + 18 wrt h.
-6*f*h + 123310*h
What is the third derivative of 1389601*n**4 - 3*n**3 + 2*n**2 + 4506111*n?
33350424*n - 18
What is the first derivative of 329890*m*t**2 - 25*m*t + 286*t**2 + 25*t + 70 wrt m?
329890*t**2 - 25*t
What is the third derivative of -103020555*a*m**4*y + 63*a*m**2*y + 50*a*m*y + 12*a*m + a + 41*y wrt m?
-2472493320*a*m*y
What is the second derivative of -125763*m**4 - 288*m**2 - 392221283*m wrt m?
-1509156*m**2 - 576
What is the first derivative of -o**4 + 15*o**2 + 1891251*o - 30407972 wrt o?
-4*o**3 + 30*o + 1891251
Find the first derivative of 5597681*z**3 + 406342012 wrt z.
16793043*z**2
What is the second derivative of 90070195*q**2 - 100341547*q?
180140390
What is the second derivative of -f**2*o**2 - 2*f**2*o + 30635*f**2 + 52093*f*o**2 - 10*f*o - 336*o**2 + 2*o wrt o?
-2*f**2 + 104186*f - 672
What is the first derivative of 4988*a**2 - 15854*a - 955410851?
9976*a - 15854
Find the second derivative of -94682450*b**2*d**2 + 3225036*b*d**2 wrt b.
-189364900*d**2
What is the first derivative of 12825884*d**3*g + 25*d**3 + 13*d - 149 wrt g?
12825884*d**3
Find the second derivative of -78341563*i**2 + 37745277*i.
-156683126
What is the second derivative of 70*x**3 + 434*x**2 + 6850*x + 276 wrt x?
420*x + 868
Find the second derivative of 184*b**4 + 6246*b**2 - 1439085*b.
2208*b**2 + 12492
Differentiate 5*d**4*h + 1194*d**4 - 1146*d**2 - 329*h + 44174 wrt d.
20*d**3*h + 4776*d**3 - 2292*d
Find the first derivative of 1186248*b**3 + 10195107 wrt b.
3558744*b**2
What is the third derivative of -632418365*n**6 + 522133768*n**2?
-75890203800*n**3
Find the third derivative of 25202282*f**3 + 301*f**2 + f + 5323 wrt f.
151213692
Find the second derivative of -430*o**2*u**2 + 3*o**2*u - 31*o**2 + 2*o*u**2 + 68*o*u - 6*o - 7*u**2 - 581*u wrt o.
-860*u**2 + 6*u - 62
What is the third derivative of 3853*i**3*r**3*y - 2*i**3*r*y - 1430*i**3*y**2 - 19*i**2*r**2*y - 9*i*y**2 - 4889*r**3*y**2 wrt r?
23118*i**3*y - 29334*y**2
Find the third derivative of -13866*f**4*j - 1628*f**3*j**3 - 6*f**2*j**3 - 185*f**2*j**2 - 2*f*j**3 - 2*f*j**2 - 2*f - 123*j**2 wrt f.
-332784*f*j - 9768*j**3
Differentiate -8*i*j**2 - 9465573*i - 336407*j**3 wrt j.
-16*i*j - 1009221*j**2
Find the first derivative of 3*l**2*q**2 + 18*l**2*s - 543499*l*q**2*s - 2*l*s - 4*q**2 + 721522*q wrt s.
18*l**2 - 543499*l*q**2 - 2*l
What is the derivative of 1007625647*n**3 + 427840248 wrt n?
3022876941*n**2
Find the second derivative of -109056280*a**5 - 87496265*a wrt a.
-2181125600*a**3
What is the derivative of 10*b**2*v*x - 863*b**2 - b*v*x + 11*b - 4*v*x - 6*x - 302779 wrt b?
20*b*v*x - 1726*b - v*x + 11
What is the second
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 2*l**2 - 6*l**2).
30591*l**4
Expand (1 + 1 + 0)*(o - 3*o + 3*o)*(0 + 0 + 2 + (3 - 2 - 2)*(2 - 2 + 2) - 4 + 7 - 1 - 5 + 2 + 5) - 5*o + 3*o + 0*o + (-1 - 14 + 5)*(-144 + 26*o + 144).
-254*o
Expand (5 + 0 - 1)*(1 + 0 - 14)*(23*t + 7*t - 6*t + 21*t).
-2340*t
Expand (196 + 896 - 33 + 312)*(-7*o + 2*o + 7*o).
2742*o
Expand 204*t**4 + 76*t**5 - 204*t**4 + (2*t**2 - 4*t**2 + 3*t**2)*(-5*t**3 + 13*t**3 + 7*t**3) - 4*t - 2*t**5 + 4*t.
89*t**5
Expand (-24 - 21 + 12)*(48*a + 62*a - 90*a).
-660*a
Expand -1593*x - 2226*x + 424*x - 1856*x - x + x - 3*x + (-2*x - x + 2*x)*(3 - 2 - 2).
-5253*x
Expand 28*b - 4*b - 2*b + 0*b + 5*b - 3*b + 2 - 2 + 2*b + (2*b - 3*b + 0*b)*(-2 + 1 + 0) + 5*b - b + 24*b - 5*b + 5*b - 2*b.
53*b
Expand -8*u + 8 - 8 + (4 - 4 + u)*(-1319 - 152 + 399).
-1080*u
Expand (0*f**4 + 0*f**4 - 2*f**5)*(3 - 2 + 1) + (4*f + f**4 - 4*f)*(3*f - 2*f + 2*f) - 4*f**2 - 36*f**3 + 36*f**3 - 2*f**5 + f + 754*f**4 - 754*f**4 + 71*f**5.
68*f**5 - 4*f**2 + f
Expand (2*v**2 + 0*v**2 + 0*v**2)*(0 + 0 + 5*v + v - 4 + 4 - 4 + 4 - 5*v - 5*v + 2*v + 2*v + (0 + 1 - 3)*(3 - 3 - 2*v)).
8*v**3
Expand -6*q**3 + 2*q**2 - 100*q - 136035 + 136035 + (0 - 2*q**3 + 0)*(0 - 6 + 4).
-2*q**3 + 2*q**2 - 100*q
Expand (h - 1 + 1)*(4*h - 3*h + 2*h + (49*h + 9*h + 5*h)*(-2 + 2 + 1) + 0*h + 7*h - 3*h).
70*h**2
Expand (0 - 3 + 1)*(850*f + 9201 - 9201)*(3*f**2 - 2*f**2 - 4*f**2).
5100*f**3
Expand (-30*k**2 + 30*k**2 - 4*k**3)*((0 - 3 + 0)*(0*k - k - k) + 1 - 1 - 4*k + (-k - 4 + 4)*(1 + 1 - 3) + 10*k - 8*k - 4*k).
-4*k**4
Expand (-14*m + 1 - 2 + 17*m + (-4 + 2*m + 4)*(1 - 1 - 2))*(185 + 265 - 1008).
558*m + 558
Expand (s**3 - 5*s**3 + 2*s**3)*(5*s**2 - s**2 + 9*s**2) - 34*s**2 + 23*s**2 - 2*s**5 + 22*s**2.
-28*s**5 + 11*s**2
Expand -4*d**3 - 2 + 49*d**3 - 23*d**3 + 2*d**3 + (1 + 2*d - 1)*(-d**2 + 0*d**2 - 4*d**2).
14*d**3 - 2
Expand ((5 + 9 - 4)*(3 + 1 + 1) + 2 + 4 - 4)*(1 - 1 + q)*(3 + 5 + 9).
884*q
Expand (11*x - 47*x + 0*x)*(x**2 - 2 + 2)*(-3*x + 10 - 10)*(-8 - 11 + 4).
-1620*x**4
Expand (-15 + 15 - 9*d)*(457 + 227 + 355 - 380).
-5931*d
Expand (-s - 2*s + s)*(-4*s + 9*s + 24 - 3*s) + (-3005 + 3005 + 77*s)*(0*s + 0*s + s).
73*s**2 - 48*s
Expand (-12 - 2 + 30 + 5 + 19)*(-67 + 29*a + 67).
1160*a
Expand (2*i - 5*i + 0*i + (i - i - i)*(-1 + 3 + 0) + i + 2*i - i)*(43 - 494 + 74)*(5 + 1 - 4).
2262*i
Expand (0*r + 0*r - 2*r)*(5 - 1 - 5) + (r - 5*r + 2*r)*(-3 + 3 - 2) + (5 + 0 + 0)*(-2*r + 0*r + 0*r) + 130*r + 48*r - 34*r.
140*r
Expand (-6 + 2 + 2)*(-69 + 69 + 82*z)*(0 - 3 - 1) + (-5 + z + 5)*(4 - 3 + 0) + z - 4*z + 5*z.
659*z
Expand (4 - 3 + 10)*(6329*w**2 - 681*w**3 - 6329*w**2).
-7491*w**3
Expand (0*u + 6*u - 3*u)*(-6 + 2 + 3)*(-37*u**3 - 319*u + 319*u).
111*u**4
Expand ((0 + m + 0)*(-1 + 0 + 4) + (6 - 3 - 1)*(3*m - 3*m - 2*m))*(847*m + 929*m - 1848*m)*(3*m - 4*m + 0*m).
-72*m**3
Expand (2*z + 3*z - 3*z)*(1 - 5 + 3)*(-2412 - 988 - 1232).
9264*z
Expand 4*d - 4*d - d + (1 - 5 + 3)*(-5 + 2*d + 5) + 1 - 1 + d + (-101 + 22 + 0)*(-4*d + d + 0*d).
235*d
Expand (2*y - y - 3*y)*((-2 + 3 + 0)*(2*y + 21*y - 7*y) + 73*y - 645 + 645).
-178*y**2
Expand ((0*z**4 + 0*z**4 + 3*z**4)*(z - 4*z + z) - 9*z**5 + 5*z**5 - z**5)*(25 + 50 - 24).
-561*z**5
Expand -11 - 44 - 1413*z**2 + 26 + 29 + (-1 + 0 + 0)*(-3*z**2 + 2*z**2 - 4*z**2).
-1408*z**2
Expand 2*u**4 - u**4 + 2*u**4 + (-u**3 - 2*u**3 + 5*u**3)*(-4*u + 3*u + 3*u) + (0*u + 0*u - 2*u)*(-11485*u**3 + 6157*u**3 + 8758*u**3).
-6853*u**4
Expand (-5*s**3 - 19*s**3 - 4*s**3)*(0*s + 0*s + 2*s**2) + s**5 + 2*s**5 - 5*s**5 - 3*s**3 - 3*s**5 + 7*s**5 + s**3.
-54*s**5 - 2*s**3
Expand (257 + 2*k - 257 - 147*k**2 + 2*k**2 + 2*k**2 - 2*k**2 + (4 - 3 + 1)*(k**2 + 0*k**2 - 3*k**2) + 0*k**2 - 2*k**2 + 0*k**2)*(k - 3 + 6 + 3).
-151*k**3 - 904*k**2 + 12*k
Expand (2*l**2 - 4 + 4)*((-160*l + 82*l + 80*l + 33)*(1 + 8 - 2) - 4*l - l + l - l + 0*l + 2*l + (2 + 0 + 0)*(4 - 4 + l)).
26*l**3 + 462*l**2
Expand (2079 - 9*r - 3*r**2 - 2079)*(18 + r - 18)*(-2*r**2 - r**2 - r**2).
12*r**5 + 36*r**4
Expand (2*l - 1 + 1)*(1 + 4 - 2) - 3*l - 8500 + 8569 - 9*l.
-6*l + 69
Expand (0 + 1 - 2)*(-24 + 1 - 30)*(-3*x - 15*x + 6*x).
-636*x
Expand -34*i + 13*i**3 - 11*i**3 + 118*i + 3*i - i + 0*i - i**3 + (137 - 137 + 18*i)*(4*i**2 - 6*i**2 + 3*i**2).
19*i**3 + 86*i
Expand ((-9*z**3 + 0*z**3 + 8*z**3)*(1 - 3 + 3) - 3*z**2 - 2*z**3 + 3*z**2)*(2*z - 3*z - 3*z)*(-9 + 0 - 1).
-120*z**4
Expand (-1 + 3 - 3)*(7 + 3 + 7)*(22*g**2 + g + 45*g**2 - 63*g**2 + 2).
-68*g**2 - 17*g - 34
Expand (10 + 1 - 2)*(-s - s + 0*s) + 3*s - 4*s + 24*s.
5*s
Expand (4*h + h - 3*h)*(-h**2 - 1 + 1) + (-4*h**2 + 0 + 1 + 3*h**2)*(67*h + 902*h + 38*h).
-1009*h**3 + 1007*h
Expand (23 - 18 - 16)*(-4*w + 3*w + 0*w + (0*w + w + w)*(1 - 4 + 2) - 27*w - 10*w + 4*w)*(w + 1 - 1).
396*w**2
Expand (1973 + 1981 - 4052)*(7 - 7 - 2*t**2).
196*t**2
Expand (57 + 38 + 48 - 22)*(2*k**2 - 21*k**2 + k**2).
-2178*k**2
Expand 0*a**2 - a**2 + 0*a**2 + (2*a + 0 + 0 + (6 + 0 - 3)*(3 - 4*a - 3))*(1122*a - 1633 + 1633).
-11221*a**2
Expand (d**2 + d - d)*(-2 + 1 + 2 + (1 + 4 - 3)*(0 + 2 - 3) + 0 - 1 + 2 - 9 + 3 + 2)*(-342*d - 212*d - 82*d).
2544*d**3
Expand (-4*j**3 - j**3 - j**3)*(-1448*j**2 - 856*j**2 + 194*j**2).
12660*j**5
Expand (-m - 2*m + 5*m)*(-3 - 1 + 3) + 46*m - 14 - 4 + 16.
44*m - 2
Expand 10*a**2 + 3*a**2 - 2*a**2 + (-1 - 1 + 5)*(-12*a**2 - 26 + 26) - 4*a**2 + 4*a**2 + a**2.
-24*a**2
Expand (13*a**2 - 6*a**2 - 55*a**2)*(0*a**3 + 5*a**3 - 4*a**3) - 91*a**5 + 26*a**3 - 26*a**3.
-139*a**5
Expand (-j**2 + 14*j**2 + 3*j**2)*(-147 - 286 - 28 + 4 - 1 - 2 + (3 - 4 - 1)*(-2 + 7 - 3) + 1 - 1 + 2).
-7392*j**2
Expand 99024 - 99024 - 777*w + 0*w - 4*w + 2*w + (-2 - 2 + 1)*(-5*w - 1 + 1).
-764*w
Expand (-6*j**3 + 4114 - 4378 + j**3)*(3 + 3 - 4)*(-5 - 5 + 2).
80*j**3 + 4224
Expand ((2*c**2 - c**2 + c**2)*(-1 + 0 + 3) - 4*c + 4*c + c**2 + (-291*c - 556*c - 234*c)*(2*c + 5*c - 3*c))*(0*c**2 + 4*c**2 - 3*c**2).
-4319*c**4
Expand ((-g - 1 + 1)*(2 + g - 2) + g**2 - 3*g**2 + 5*g**2 + 3*g**2 - 10*g**2 - g**2 + (0 + 0 - g)*(2*g - 2*g - 2*g))*(-g**2 + 3*g**2 - 3*g**2)*(2 + 15 - 1).
64*g**4
Expand (2 - 2 - 2*n**2)*((11*n + 4*n**3 - 11*n)*(3 - 1 - 4) + (3*n**2 + n**2 - 2*n**2)*(-3*n + 0*n + 5*n)) + 1729*n**5 - 824*n**5 - 825*n**5.
88*n**5
Expand (-w + 2*w + 0*w)*(-2*w**2 - 4*w + 4*w) + 14*w - w**3 - 14*w + (-3*w + 3 - 3)*(4*w + 0*w + 0*w)*(-3 - 40 - 22)*(-5 - 2 + 5)*(3 - 4 + 3)*(-w - 2*w + 4*w).
-3123*w**3
Expand (-1 - 1 + 0)*(-4221*k**5 + 132835 - 132835).
8442*k**5
Expand (-19127*u**3 + 3 + 38188*u**3 - 19139*u**3)*(1 + 1 - 4).
156*u**3 - 6
Expand (n - n + 2*n)*(173*n + 146*n - 517*n)*(1 + 3 - 2).
-792*n**2
Expand (4*c**4 + 16*c**4 + 17*c**4)*(0 - 2 + 0)*(-3 + 9 + 6).
-888*c**4
Expand z - 4 + 4 + (-3 + 3 + z)*(-3 + 0 + 4)*(-3345 - 4468 + 33)*(3 - 3 + 2).
-15559*z
Expand (-16 + 2 + 12 - 8*p**4)*(-5116*p + 2719*p + 2862*p).
-3720*p**5 - 930*p
Expand (26 + 20 - 20)*(1 + 5 - 4)*(18 - 18 + 5*t) - 3*t + 34*t - 7*t.
284*t
Expand (-5*n + 2*n + n)*(n + 0*n - 3*n) + 2 - n**2 - 2 - 51613 + 103230 + 199*n**2 - 51609.
202*n**2 + 8
Expand 0 + o + 0 + (-3 - 4 + 0)*(-1480 - 54*o + 1480).
379*o
Expand (2*k**2 - 3*k**2 - k**2)*(-473 - 618 + 319).
1544*k**2
Expand 6*x**3 + 499*x**3 - 279*x**3 + 5 - 5 + 3*x**3 + (-1 + 1 + 2*x)*(3 - 3 - 3*x**2) + 2*x**3 + x**3 - 5*x**3.
221*x**3
Expand 3*i**5 - 3*i**5 - i**5 + (3*i**5 + 0*i**5 - 5*i**5)*(-5 + 1 + 3) + 88*i**5 + 101*i - 101*i - 25*i**4 + 3*i**2 + 25*i**4 - 2*i**5.
87*i**5 + 3*i**2
Expand (-2 + 9 - 3)*(-v**4 - 1 + 1) + 0*v**4 - 39*v**4 - 16*v**4 + 5*v**4 - 6*v**4 + 3*v**4.
-57*v**4
Expand (-2 - 2*h**2 + 2)*(541 + 160 - 76).
-1250*h**2
Expand 3*r**3 - 2*r**3 + 0*r**3 + (-7 + 2 - 16*r + 3)*(-1267 + 82*r**2 + 1267).
-1311*r**3 - 164*r**2
Expand -d**2 + 0*d**2 - d**2 + 2 - 2 + 3*d**2 - 78*d**2 - 2*d**2 - 43*d**2 + (-d + 0*d + 4*d)*(2 - 2 - 2*d).
-128*d**2
Expand (3*j - 3 + 3)*(-2*j + 1 - 1) + 192*j**2 + 281*j - 191*j**2 - 17*j + 1.
-5*j**2 + 264*j + 1
Expand (0 + b**2 + 0)*(-111 + 1219*b - 1220*b - 148).
-b**3 - 259*b**2
Expand (-215*y**2 - 27*y**2 - 92*y**2 - 141*y**2 + 87*y**2)*(-78*y + 22*y - 14*y).
27160*y**3
Expand (4*s**2 - 5*s**2 + 3*s**2 + (s**2 + s**2 + 0*s**2)*(-18 - 33 + 41))*(-2 + 2 + 2 + s).
-18*s**3 - 36*s**2
Expand 497*s + 3*s**2 - 497*s + (3*s - 5*s + 4*s)*(7*s - s - s) - 6*s**2 + s**2 + 2*s**2.
10*s**2
Expand 10709*k**2 +
|
{
"pile_set_name": "DM Mathematics"
}
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j + 45/2*j**b - 75/4*j**3 + 0.
-3*j*(5*j - 3)**2/4
Let a(x) be the second derivative of -x**5/4 - 25*x**4/3 + 5*x**3/6 + 50*x**2 + 115*x. What is u in a(u) = 0?
-20, -1, 1
Let c = 41 + -19. Suppose -4*t + c = 2*h, 12 + 7 = h + 4*t. Factor 2/3*y**h + 10/9*y**2 + 0 + 4/9*y.
2*y*(y + 1)*(3*y + 2)/9
Let u(t) = t**4 + 63*t**3 + 960*t**2 - 1030*t + 6. Let i(w) = -2*w + 2. Let l(k) = -15*i(k) + 5*u(k). Suppose l(a) = 0. What is a?
-32, 0, 1
Let j be 2/(-11) + (-114)/(-22). Suppose 0 = -5*b + d + 48, -31 = -4*b + d + 7. Factor b*x - 19*x**2 + 20*x**3 + 2*x**j - 10*x**4 + 1 - 3 - x**2.
2*(x - 1)**5
Let r = 391445 - 3518873/9. Let j = r - 458. Factor 20/9*q**3 - 2/9 + 10/9*q - 20/9*q**2 - j*q**4 + 2/9*q**5.
2*(q - 1)**5/9
Let h(a) be the first derivative of 16*a + 4*a**5 - 12*a**3 + 3*a**4 - 23 + 20 - 11*a**4 + 16*a**2. Solve h(s) = 0.
-1, -2/5, 1, 2
Let o(b) be the first derivative of -2*b**5/35 + b**4/7 + 2*b**3/21 - 2*b**2/7 + 282. Solve o(u) = 0.
-1, 0, 1, 2
Factor 60*w + 14791*w**4 + 924*w**2 - 640*w**3 - 14683*w**4 + 12*w.
4*w*(w - 3)**2*(27*w + 2)
Let h(j) = -7*j**3 - 3*j + 10. Suppose 137 + 186 = 19*u. Let d(t) = -20*t**3 + t**2 - 10*t + 29. Let b(w) = u*h(w) - 6*d(w). Factor b(r).
(r - 4)*(r - 1)**2
Let s(x) = 3*x + 45*x**3 + 3*x + 7 + 5*x - 18 + 4*x**4. Let b(g) = g**4 + 9*g**3 + 2*g - 2. Let i(w) = 11*b(w) - 2*s(w). Solve i(c) = 0.
-3, 0
Suppose 124 = -12*p + 43*p. Let a(y) be the third derivative of -1/48*y**p + 0 + 0*y - 1/240*y**5 - 1/24*y**3 - 7*y**2. Factor a(f).
-(f + 1)**2/4
Suppose 3*b + 14 = 5*b. Factor -4*m**2 - 55*m - m**2 - 8 + 75 - b.
-5*(m - 1)*(m + 12)
Let l be (15/9)/(2/(32/200)). Let g(w) be the second derivative of 1/6*w**4 + 0*w**2 + 2/25*w**5 - 6*w + l*w**3 + 0 + 1/75*w**6. Find p, given that g(p) = 0.
-2, -1, 0
Let w(o) be the first derivative of o**4 - 148*o**3/3 + 142*o**2 - 140*o - 260. Factor w(t).
4*(t - 35)*(t - 1)**2
Suppose 3*l + 33 = 3*v, l + 0*l + 25 = 3*v. Suppose -z - v*z = -16. Suppose -2*i**4 + 0 + 0*i - z*i**3 - 2/3*i**5 - 2/3*i**2 = 0. Calculate i.
-1, 0
Let q = 121/120 - 5/24. Factor -2/5*i**2 - q*i + 6/5.
-2*(i - 1)*(i + 3)/5
Let h be 2 + (-2688)/(-147) - 16. Let u be (-2)/(-56) - 3/(-12). What is i in -2*i**2 + u*i**3 - 18/7 + h*i = 0?
1, 3
Suppose -3*d - 7*d = -20. Let k be -9*(8/12 - 1). Solve 4/7*t + 0 - 2/7*t**d - 6/7*t**k = 0.
-1, 0, 2/3
Let k(c) be the first derivative of 7 - 27/2*c**2 + 12*c - c**3. Let b(u) = -2*u**2 - 14*u + 6. Let r(h) = 9*b(h) - 5*k(h). Factor r(g).
-3*(g - 2)*(g - 1)
Let n(j) be the third derivative of j**5/75 - j**4/120 - 74*j**2. Solve n(q) = 0.
0, 1/4
Let w be -3 - -58*1/18. Let o = 40 - 118/3. Factor 0 - w*p**2 + o*p.
-2*p*(p - 3)/9
Let d = 75 + -28. Factor 3*t**3 + d*t - 3*t**4 + 6*t**2 - 3*t**2 - 50*t.
-3*t*(t - 1)**2*(t + 1)
Let u(b) = 3*b**3 - 17*b**2 - 18*b. Let s(x) = -20*x**3 + 120*x**2 + 125*x. Let d(c) = -2*s(c) - 15*u(c). Factor d(m).
-5*m*(m - 4)*(m + 1)
Let j be 150/140*168/120. Factor -j*s**2 - 30*s - 150.
-3*(s + 10)**2/2
Suppose r = 5*t - 156, 0*t - 148 = -4*t - 5*r. Solve 92*x**3 + 4 + 28 - 32*x**5 - t*x**4 - 16*x**3 - 112*x + 56*x**2 + 12*x**5 = 0 for x.
-2, 2/5, 1
Suppose 36*x**2 - 2*x**3 - 14*x + 0*x**3 - 7*x**3 + 6*x**3 - 46*x = 0. Calculate x.
0, 2, 10
Let s be (-28)/(-21)*-1*(-3)/(-2). Let l be (s + 2)/(18 - 14). Factor -2/3*w**2 - 2/3*w**4 + 0 + l*w - 4/3*w**3.
-2*w**2*(w + 1)**2/3
Let d(r) be the third derivative of -r**7/420 + r**5/60 + 7*r**3/6 + 18*r**2. Let m(s) be the first derivative of d(s). Factor m(k).
-2*k*(k - 1)*(k + 1)
Let m be (42/(-12))/7*4/(-82). Let b = m - -75/287. Solve 4/7*r**3 - 2/7*r**5 + 4/7*r**2 - 2/7*r**4 - b*r - 2/7 = 0 for r.
-1, 1
Suppose -2 - 4 = -3*o - t, -8 = -4*o - 3*t. Suppose 2*d + 3*d + 10 = 0, o*p + 2*d = 2. Factor -3*x + 5*x**3 - 3*x**4 - 3*x + x**p + 3.
-3*(x - 1)**3*(x + 1)
Factor 0*i + i**4 - 22*i**3 - 10*i**3 - 45*i**2 + 0*i + 36*i**3.
i**2*(i - 5)*(i + 9)
Let 1/7*z**2 + 160/7*z + 6400/7 = 0. Calculate z.
-80
Solve 74*m - 26*m**3 - m**4 - 75 + 48*m + 546*m**2 - 566*m**2 = 0 for m.
-25, -3, 1
Let d(z) be the third derivative of 0 + 0*z + 25/1176*z**8 - 1/12*z**4 - 13/147*z**7 + 1/105*z**5 - 1/21*z**3 - 14*z**2 + 23/210*z**6. Factor d(n).
2*(n - 1)**3*(5*n + 1)**2/7
Suppose -f + 4*n - 4 = 0, 4*f - 8 = -2*n + 30. Suppose 2*c + p = 4*c - f, 10 = -c - 3*p. Determine j, given that 8/7*j - 16/7 - 1/7*j**c = 0.
4
Factor 0*h + 2/15*h**4 + 0 + 0*h**2 - 4/15*h**3.
2*h**3*(h - 2)/15
Let t = 37 - 19. Factor -4*k**3 + t*k**2 + 17*k**2 - 31*k**2.
-4*k**2*(k - 1)
Let p(a) be the first derivative of 0*a + 3*a**3 - 3*a**2 - 3/4*a**4 + 2. Factor p(i).
-3*i*(i - 2)*(i - 1)
Let h(t) be the second derivative of 0 - 3/4*t**2 - 13*t - 5/24*t**4 - 1/40*t**5 - 7/12*t**3. Factor h(c).
-(c + 1)**2*(c + 3)/2
Let n(c) be the second derivative of -c**6/75 + c**5/25 + 2*c**4/15 - 2*c**3/15 - 3*c**2/5 - 15*c + 11. Determine s, given that n(s) = 0.
-1, 1, 3
Let y(i) = -11*i**2 - 6*i. Suppose b + 2*a + 6 = 0, -3*a = 3*b + 2*a + 18. Let q(j) = -45*j**2 - 25*j. Let k(p) = b*q(p) + 25*y(p). Factor k(f).
-5*f**2
Let i(v) = -4*v**2 - 5*v - 3. Let h(b) = -8*b**2 - 11*b - 5. Let p(w) = 3*w - 6. Let u be p(3). Let s(g) = u*h(g) - 5*i(g). Factor s(r).
-4*r*(r + 2)
Let r(u) be the first derivative of u**4/14 - 2*u**3/7 - 6*u**2/7 + 16*u/7 + 31. Let r(m) = 0. Calculate m.
-2, 1, 4
Let x = -49/6 + 269/30. Let s(q) be the second derivative of 11/15*q**6 + 4*q - 2/3*q**4 + 1/7*q**7 + x*q**5 + 0 + 0*q**3 + 0*q**2. Factor s(z).
2*z**2*(z + 2)**2*(3*z - 1)
Let r = -150992/945 - -4132/27. Let k = r - -50/7. Factor -2/5*y + k*y**2 + 0.
2*y*(y - 1)/5
Let z = -1035/182 - -99/14. Let z + 30/13*p + 14/13*p**2 + 2/13*p**3 = 0. Calculate p.
-3, -1
Suppose -10*b - 8 = -28. Suppose -5*w**2 + 2*w**2 - 10*w - 8 + 18*w + w**b = 0. What is w?
2
Let j = 700 + -697. Let v(r) be the second derivative of -7*r + 14/3*r**j + 1/5*r**5 - 6*r**2 - 5/3*r**4 + 0. Factor v(d).
4*(d - 3)*(d - 1)**2
Let g(n) = n**3 + 6*n**2 - 9*n + 1. Let r be g(-7). Factor 20*s**2 - r*s + 528*s**4 - 516*s**3 + 199*s**2 + s - 28*s - 192*s**5 + 3.
-3*(s - 1)**2*(4*s - 1)**3
Let y = -2/1101 + 1111/5505. Let f(k) be the second derivative of 1/20*k**4 + y*k**3 + 3/10*k**2 + 7*k + 0. Solve f(q) = 0 for q.
-1
Solve -46/11*o - 2/11*o**3 - 2/11*o**4 + 20/11 + 30/11*o**2 = 0.
-5, 1, 2
Let l(q) = -2*q**3 - q - 1. Let u(a) = -a**3 + 40*a**2 - 65*a + 10. Let g(x) = 12*l(x) - 3*u(x). Factor g(c).
-3*(c - 1)*(c + 7)*(7*c - 2)
Let l be (14/2793*21)/((-1)/(-19)). Solve -1/7*g**l + 1/7*g**3 + 1/7 - 1/7*g = 0.
-1, 1
Let h(m) be the first derivative of m**4 - 64*m**3/3 - 34*m**2 - 678. Factor h(o).
4*o*(o - 17)*(o + 1)
Solve 116/7*q - 12/7*q**4 + 16/7 + 10/7*q**3 + 122/7*q**2 = 0 for q.
-2, -1, -1/6, 4
Let x(b) = 8*b + 47. Let l be x(-12). Let h = l - -51. Factor 64/7*g + 32/7 + 48/7*g**h + 16/7*g**3 + 2/7*g**4.
2*(g + 2)**4/7
Let k(g) be the third derivative of -7/4*g**5 - 2*g**3 + 0*g + 0 + 11*g**2 + 5/16*g**6 + 11/4*g**4. Factor k(s).
3*(s - 2)*(5*s - 2)**2/2
Let j(v) be the first derivative of v**5/15 + 7*v**4/12 + 2*v**3 - 3*v**2/2 + 6*v - 8. Let h(x) be the second derivative of j(x). Find f such that h(f) = 0.
-2, -3/2
Let n(q) = 2*q**4 + 10*q**3 + 20*q**2 + 16*q + 6. Let b(g) = g**2 + g + 1. Let k(w) = -2*b(w) + n(w). Factor k(j).
2*(j + 1)**3*(j + 2)
Let x(q) = -q**3 + 12*q**2 - 12*q + 13. Let i be x(11). Let 25 - 95*k + 69*k**3 + 29 + 15*k**4 - 58*k + 15*k**i = 0. Calculate k.
-3, 2/5, 1
Factor 64*f**2 + 5 - 15*f - 16*f**4 - 3 - 4*f**5 + 79*f - 2.
-4*f*(f - 2)*(f + 2)**3
Let q(r) = -4*r**4 - 54*r**3 - 171*r**2 + 126*r + 88. Let b(i) = -2*i**4 - 27*i**3 - 86*i**2 + 63*i + 43. Let k(l) = 5*b(l) - 3*q(l). Factor k(y).
(y - 1)*(y + 7)**2*(2*y + 1)
Let d(y) be the third derivative of -2/105*y**7 + 0*y**4 + 0*y**3 + 0*y**6 + 0*y + 0 + 0*y**5 - 22*y**2. Factor d(h).
-4*h**4
Factor 0 + 2/13*f**4 - 20/13*f + 12/13*f**3 + 6/13*f**2.
2*f*(f - 1)*(f + 2)*(f + 5)/13
Suppose -66 = -2*o - o. Suppose 22*g**2 + g**3 - 48*g + o*g**2 + 4*g**5 - 5*g**3 - 12*g**4 + 16 = 0. What is g?
-2, 1, 2
Let z be (-60)/39*(472/40 - 12). Let 14/13*l**4 - 6/13*l**3 - 14/13*l**2 + 10/13*l**5 - z*l + 0 = 0. What is l?
-1, -2/5, 0, 1
Let f(r) = -r**3 + 43*r**2 - 153*r - 117. Let d be f(39). Factor -3/4*w**4 + d - 9/2*w**3 - 6*w - 9*w**2.
-3*w*(
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{
"pile_set_name": "DM Mathematics"
}
|
0*h**3 + 0*h**4 + 0*h. Calculate v(q(m)).
-20*m**4
Let o(q) = 1145802897*q**2. Let j(n) = 2*n. What is j(o(k))?
2291605794*k**2
Let g(i) = 40*i**2. Let k(c) be the first derivative of -c**4/12 - 62*c - 3. Let n(q) be the first derivative of k(q). Calculate g(n(j)).
40*j**4
Let v(u) = -2665*u. Let k(y) = 3*y**2 - 168. What is v(k(h))?
-7995*h**2 + 447720
Let o(u) = 2*u. Suppose 0 = -5*f - 23*f + 672. Let q(t) = 27*t**2 - f*t**2 + 12*t**2. Determine q(o(m)).
60*m**2
Let a(x) = 14*x**2. Let m(c) = -342*c**2 + 7*c - 320. What is m(a(b))?
-67032*b**4 + 98*b**2 - 320
Let x(i) = 21*i**2. Let z(v) = -104*v**2 - 223*v**2 + 211*v**2 - 251*v**2 - 150*v**2. Determine x(z(w)).
5613069*w**4
Let y(k) = 1129*k - 602. Let i(f) = -2*f + 3. Calculate y(i(j)).
-2258*j + 2785
Let a(x) = 674*x + 751*x - 1425*x - 3*x**2. Let j(m) = -724*m. Calculate a(j(p)).
-1572528*p**2
Let b(z) = -401*z + 9. Let n(u) = 4557*u. Calculate b(n(i)).
-1827357*i + 9
Let p(g) = 2*g**2 - g - 497. Let t(f) = -3*f + 4. Give p(t(q)).
18*q**2 - 45*q - 469
Let r(x) = -3*x. Let q(o) be the first derivative of 107*o**2/2 + 3*o + 5405. What is r(q(i))?
-321*i - 9
Let b = -667 + 693. Let d(a) = b + 26 + 28 + 10*a - 80. Let l(c) = 40*c**2. What is d(l(s))?
400*s**2
Let m(t) = -7861*t. Let j(r) = -4*r**2 + 1055*r - 1. Calculate m(j(p)).
31444*p**2 - 8293355*p + 7861
Let m(l) = -22*l**2. Let g(t) = -9274*t + t**2 + 9274*t. Determine g(m(p)).
484*p**4
Let q(h) = 57*h**2 - 3*h. Let x(t) be the third derivative of 7*t**5/60 + 6*t**2 - 8*t. Determine q(x(a)).
2793*a**4 - 21*a**2
Let u(c) be the second derivative of -2*c**4/3 + 422*c + 1. Let y(q) = -q + 8. Give y(u(v)).
8*v**2 + 8
Let r be (2 + 0/(-8 + 5))*1. Let t(s) = 86*s**r - 41*s**2 - 46*s**2. Let w(h) = -401*h**2. Calculate w(t(f)).
-401*f**4
Let b(v) = -101*v + 307*v - 100*v - 104*v. Let j(f) = -2*f**2 + 586*f. Calculate j(b(u)).
-8*u**2 + 1172*u
Let y(r) = r**2 - 16*r + 87. Let w be y(17). Let l(x) = -8 + 2 + w*x + 6. Let m(j) = 2*j**2. Give l(m(b)).
208*b**2
Suppose 295 = 4*g - 257. Let n(l) = g*l**2 - 63*l**2 - 73*l**2. Let y(c) = 12*c**2. What is n(y(f))?
288*f**4
Let a(q) = 3569972 + 32*q - 3569972. Let t(v) = 505*v**2. What is t(a(b))?
517120*b**2
Let p(n) = -3*n - 48. Let t(i) be the third derivative of 13*i**5/60 - 974*i**2 + 1. Give p(t(o)).
-39*o**2 - 48
Let n(r) be the second derivative of r**4/12 - r**3/2 + 6*r. Let m(p) = -p**2 + 4*p. Let w(z) = 3*m(z) + 4*n(z). Let d(y) = 14*y**2. Calculate w(d(j)).
196*j**4
Let n(y) = -4*y. Let a(h) = 70312*h**2 + 55. Give a(n(s)).
1124992*s**2 + 55
Let u(a) = 29*a**2 + 57*a**2 + 62*a**2 - 146*a**2. Let n(i) = 4*i**2 + 4*i - 139. Give n(u(b)).
16*b**4 + 8*b**2 - 139
Let z(b) = -2*b**2. Let p(o) = 3*o**3 - 2*o**2 - 4*o + 12. Let j be p(3). Let y(q) = j*q**2 + 84*q**2 - 76*q**2. Determine y(z(r)).
284*r**4
Let v(z) = 6*z**2. Let g(x) = 820823*x - 10. Calculate g(v(b)).
4924938*b**2 - 10
Let v(m) = 4128*m. Let r(d) be the third derivative of d**5/30 - 7*d**2 - 83. What is r(v(t))?
34080768*t**2
Let v(u) be the first derivative of -u**3/2 - 62*u + 20. Let h(t) be the first derivative of v(t). Let x(m) = -30*m. What is h(x(w))?
90*w
Let z(a) = -4*a**2. Let j(g) = 3*g + 8832 - 4275 - 4383. Determine j(z(w)).
-12*w**2 + 174
Let f(v) = -11*v. Let p = 3 - -4. Let u be (0 + 14/4)/((-725)/(-1450)). Let j(s) = p*s - u*s - s. Give f(j(a)).
11*a
Let t(v) = -2*v. Let q(m) = 11254*m - 4975*m - 12843*m - 2940*m. Calculate q(t(w)).
19008*w
Let n be (-1564)/(-276) + (-3 - 7/(-3)). Let m(x) be the third derivative of 0*x - 1/60*x**n + 0*x**3 + 0 - 3*x**2 + 0*x**4. Let t(h) = -5*h. Give t(m(o)).
5*o**2
Let p(i) = 915659*i. Let r(u) = -7*u. What is r(p(n))?
-6409613*n
Let y(k) = 3*k**2 + 2078. Let w(z) = -14*z + 1. Let c(j) = -114*j + 8. Let r(a) = c(a) - 8*w(a). Determine r(y(h)).
-6*h**2 - 4156
Let v(u) = 6*u**2 + 98. Let z(n) = 32897*n - 3. What is z(v(l))?
197382*l**2 + 3223903
Let y(p) = 264*p**2. Let c(b) be the first derivative of -b**6/180 - 37*b**3/3 + 63. Let t(x) be the third derivative of c(x). What is y(t(r))?
1056*r**4
Let h(n) = 3*n**2. Let j(q) be the first derivative of -4*q**3/3 + 40*q + 6908. Give j(h(y)).
-36*y**4 + 40
Let b(h) be the third derivative of h**4/12 + 4*h**2 + 31*h. Let o(s) be the second derivative of -5/3*s**4 + 0 + 6*s + 0*s**3 + 0*s**2. Give o(b(m)).
-80*m**2
Let j = 2108 - 2105. Let q(l) be the second derivative of 0 - 6*l + 0*l**2 + 19/12*l**4 + 0*l**j. Let b(c) = c. Give q(b(u)).
19*u**2
Let o(s) = -21*s. Let a(i) = 1325022*i**2. Give a(o(n)).
584334702*n**2
Let n(x) = -5455*x + 10912*x - 2 - 5459*x + 2. Let g(p) = -62*p + 21. What is n(g(j))?
124*j - 42
Let j(r) = -56*r**2. Let n(a) be the first derivative of 113*a**3 - 63*a**3 - 179 - 52*a**3. Give j(n(d)).
-2016*d**4
Let j(c) = 952*c**2. Let z(h) = 35*h**2 + 4*h. Determine z(j(s)).
31720640*s**4 + 3808*s**2
Let n(o) = -841*o. Let b(z) = -z**2 + z + 12. Let s(l) = 4*l**2 - 2*l - 24. Let r(x) = 2*b(x) + s(x). Give n(r(p)).
-1682*p**2
Let w(l) = -8*l. Suppose -4*i + s + 1 = 0, -31*s = i - 34*s - 3. Let o(t) = 608 - 4*t**2 + 0*t + i*t - 608. What is w(o(h))?
32*h**2
Let k(z) be the third derivative of -1/3*z**3 - 17/4*z**4 + 240 + 2*z**2 + 0*z. Let a(f) = f. Determine a(k(j)).
-102*j - 2
Let h(d) = -16*d. Let z(b) be the first derivative of -21*b**2/2 + 2605. Give h(z(t)).
336*t
Let d(w) = 2*w**2. Let b be (6 + -7 - (-2 - 34)) + 2. Let m(v) = -15*v**2 + b*v**2 + 16 - 10*v**2 - 9*v**2 - 69. Determine d(m(u)).
18*u**4 - 636*u**2 + 5618
Let k(d) be the first derivative of 8*d**3/3 - d**2/2 - 608. Let l(t) = 26*t. Give k(l(x)).
5408*x**2 - 26*x
Let i(w) = 12*w - 4. Let u(q) = q**2 + 2*q - 16675. Determine i(u(n)).
12*n**2 + 24*n - 200104
Let v(r) be the first derivative of r**5/12 + r**2/2 + 1. Let g(n) be the second derivative of v(n). Let s(y) = 27*y**2 - 44*y**2 + 19*y**2. Give g(s(i)).
20*i**4
Let l(z) = -38*z. Let b(m) = 9*m**2 + 6*m + 6. Suppose -15*w + 7*w = -48. Let p(d) = -26*d**2 - 17*d - 17. Let q(a) = w*p(a) + 17*b(a). Determine l(q(g)).
114*g**2
Let i(r) = -28*r + 409. Let a(d) = 13*d - 169. Let b(h) = 5*a(h) + 2*i(h). Let x(o) = 4*o**2. What is b(x(l))?
36*l**2 - 27
Let t(h) = -112*h**2 - 3. Let k(v) = 56*v + 1. Let z(m) = 4205*m + 75. Let o(y) = -150*k(y) + 2*z(y). Determine o(t(x)).
-1120*x**2 - 30
Let c(s) = -3*s + 5*s - 2*s + 3*s. Let z(u) be the second derivative of -u**4/8 - 7*u**2/2 - 6*u. Let l(q) be the first derivative of z(q). Calculate c(l(x)).
-9*x
Let w(l) = 23*l**2. Let s(p) be the second derivative of 2/3*p**4 + 0*p**2 + 0*p**3 + 12 + 2*p. Give w(s(b)).
1472*b**4
Let z(r) = 21*r. Let q(d) = 390*d**2. Let c(u) = -1098*u**2. Let o(k) = -3*c(k) - 8*q(k). What is z(o(j))?
3654*j**2
Let v(s) = -10 + 1633*s - 1642*s + 33. Let b(c) = -6*c**2. What is v(b(h))?
54*h**2 + 23
Let y(d) = -2*d**2. Let k(n) be the second derivative of 0*n**2 - 24 - 3*n - 27/2*n**3. Calculate y(k(a)).
-13122*a**2
Let j(m) = 34*m - 22. Let v(h) = h + 1478*h**2 - h - 1476*h**2. Determine j(v(f)).
68*f**2 - 22
Suppose -4*j = -u - 14, 4*u + 2*j - 8 = 8. Let w(d) = u*d - 4*d - 12*d - 30*d. Let f(n) = 3*n - n - n. Give f(w(z)).
-44*z
Let h(x) = -6260*x. Let g(y) = -6*y + 94. Calculate h(g(b)).
37560*b - 588440
Let q(l) = -7*l - 4. Let r(w) = -12*w - 8. Let p(y) = 3*y - 56. Let c be p(22). Let s(z) = c*q(z) - 6*r(z). Let o(j) = -331 - j**2 + 168 + 163. Give s(o(i)).
-2*i**2 + 8
Let q(p) = 71*p. Let r(s) = 15*s - 243. Give r(q(x)).
1065*x - 243
Let f(z) = 1466*z**2. Let n(g) be the first derivative of g**2/2 - 7834. What is n(f(b))?
1466*b**2
Let a(x) = -199299363*x**2. Let n(h) = -h. What is a(n(j))?
-199299363*j**2
Let f(x) = -233*x**2 + 5*x - 5. Let b(z) = 140*z**2 - 3*z + 3. Let q(g) = -10*b(g) - 6*f(g). Let h(a) = 550*a - 6. Give q(h(y)).
-605000*y**2 + 13200*y - 72
Let a(l) be the second derivative of l**7/1260 + l**4/12 + 88*l**3/3 + 135*l. Let m(s) be the third derivative of a(s). Let g(v) = 4*v + 30. Give m(g(h)).
32*h**2 + 480*h + 1800
Let a(g) = 628*g. Let i(j) = -33138*j**2. Give a(i(o)).
-20810664*o**2
Let g(m) = 2*m. Let x(u) = 28612*u**2 + 990*u. Give g(x(d)).
57224*d**2 + 1980*d
Let u(k) = 127*k. Let p(v) = -v**2 - 5*v + 2. Let c(t) = -15*t + 6. Let m(x) = c(x) - 3*p(x). Give m(u(n)).
48387*n**2
Let q = 0 - -2. Let n(b) = -q
|
{
"pile_set_name": "DM Mathematics"
}
|
(1 - 2 - 1)*(-d - d + 3*d) + 0*d - 3*d - 3*d.
-40*d
Expand -7*z**2 - 2*z**3 + 7*z**2 + (-z**3 - 2*z**3 + 4*z**3)*(15 - 34 - 23).
-44*z**3
Expand (3 + 0 + 0)*(2*x - 3*x + 2*x) + x + x - 4*x + 20*x + 32*x - 12*x.
41*x
Expand (-f**2 + 3*f**2 - 3*f**2)*(-f - 4*f + 3*f + (-51*f + 106*f + 4 - 51*f)*(3 - 1 - 4)*(2 + 1 - 5)).
-14*f**3 - 16*f**2
Expand (-2086*o - 59920227 + 59920227)*(-2 + 2 + 1).
-2086*o
Expand (-19*r - 42*r + 146*r)*(8 - 10 + 4).
170*r
Expand -4 + 4 - 37 - 4*z + 1 - 1 - z - 2*z - 4*z + 3*z + (2 - 2 - z)*(1 - 3 + 3) + 5*z - z - 2*z - 2*z + 0*z + 0*z - 3*z + 2*z + 0*z.
-10*z - 37
Expand (5 - 19 + 13 + 9*h)*(-h + 2*h + h)*(48 - 44 + 64).
1224*h**2 - 136*h
Expand 2*o**3 + 3*o - 3*o + (0*o + 0*o + o**2)*(-o + 2*o + 0*o) + (-8*o + 12*o - 3*o)*(-73*o**2 - 190 + 95 + 91).
-70*o**3 - 4*o
Expand 3*a**4 - 3*a**4 - 2*a**5 + (-395*a**4 - 242*a**4 + 459*a**4)*(4 - 4 + 2*a).
-358*a**5
Expand (-36 - 10 + 15)*(c**2 + 2*c**4 - c**2)*(0 + 1 + 0 + (-1 - 2 + 5)*(1 + 3 - 1) + 1 - 3 + 4).
-558*c**4
Expand (1 - 3*w - w + 3*w)*(-w + 3*w + 0*w + (1 + 1 - 1)*(2*w + 2 - 2) - 2*w + 3*w - 3*w - 6*w - 7*w - 4*w + 7628 - 7628 + 21*w).
-6*w**2 + 6*w
Expand (2389 + 874 - 11949 + 1537 - 8353)*(-m**2 + 2*m - 2*m).
15502*m**2
Expand (594 - 930 + 816 + 4 - 16 + 5 + 3 + 2 - 4 + (2 + 1 - 5)*(-2 - 1 + 1) + 0 + 0 - 1)*(i**3 - 2*i + 2*i).
477*i**3
Expand 0*h**3 - 3*h**3 + h**3 + (0 - 2*h + 0)*(0*h**2 - h**2 + 2*h**2) + (561*h - 3360*h**2 - 560*h + 3363*h**2 - 1627)*(-2*h - h + h).
-10*h**3 - 2*h**2 + 3254*h
Expand 2*y - 3*y + 3*y + (-5*y + 5*y + 2*y)*(0 + 1 + 1) - 88 - 83 + 172 + 3460*y.
3466*y + 1
Expand (-7 + 6*n + 7)*(587*n + 99848 - 99848 + (-n + 0 + 0)*(-4 + 1 - 1)).
3546*n**2
Expand (-16*m + 12*m - 2 + 5)*((0 + 4 - 6)*(-6 - 4 + 5) - 15 - 8 - 3).
64*m - 48
Expand 2*u - 2*u + 6*u + (-50 - 17 - 29)*(0*u - 2*u + 0*u).
198*u
Expand (1 - 3 + 4)*(-10612*k**2 - 20723466*k + 20723466*k)*(3 - 3 - 2*k**2).
42448*k**4
Expand (0 - 3 - 1)*(m + m + m + (11*m + 2 - 2)*(-1 + 5 - 5))*(-5 - 5*m + 3 + 3).
-160*m**2 + 32*m
Expand (3 + 1 - 2)*(-o - 1 + 1) + o + 4*o - o + (-2268 - 4996 + 9181)*(-1 - 2 + 5)*(5*o - 2*o - o).
7670*o
Expand (l**3 - 5*l**3 + 2*l**3)*(-7108*l - 5951*l + 11563*l)*(1 - 1 + 2*l + (0 + 1 - 3)*(l - 4*l + 0*l) + 0*l + 3*l - l).
29920*l**5
Expand (x**2 - x**2 - 4*x**2)*(-248*x - 590*x - 8*x)*(-1 + 3 - 1).
3384*x**3
Expand i**5 - 2*i**5 - 2*i**5 + (-4 - 15 + 11)*(4*i**3 - 3*i**3 - 2*i**3)*(-85*i**2 + 139*i**2 - 106*i**2) + (i - 2*i + 3*i)*(i**4 + 0*i**4 - 3*i**4).
-423*i**5
Expand -25*t + 6301 - 6299 + 755*t + (-4*t + 2*t - t)*(3 - 1 - 3).
733*t + 2
Expand (-3*h + 28*h + 14*h)*(-209*h - 280 + 280)*(-4 + 2 + 1).
8151*h**2
Expand (3 - 3 - 2*n**2)*(-12 - 1 - 52 + 1 - 3 + 3 - 5 + 3 + 3 + (3 - 3 - 2)*(2 - 1 - 3) - 2 - 2 + 3 - 1 - 3 + 3).
122*n**2
Expand (-5 + 5 + 2*b)*(b + 0*b + 5*b + 0 + 0 + 2*b + (b + 3 - 3)*(-2 + 4 - 1)) + (3 - 3 - 2*b)*(0 + 0 + b) + 2 + b**2 - 2.
17*b**2
Expand -69*x**2 - 9*x**2 - 127*x**2 + (8 - 8 + 5*x)*(2*x + 3*x - 7*x).
-215*x**2
Expand (0*u**2 + u**2 + u**2)*(-6*u - 3*u + 3*u)*(1 - 1 + 2) - 7*u**2 + 131226 - 131226 + 39*u**3.
15*u**3 - 7*u**2
Expand ((1 + 0 - 2)*(-3*v - 1 + 1) + 0*v + v - 2*v + 0 - 3*v + 0)*(35*v**3 - 26*v**3 + 48*v**3) - 2*v**4 + 2*v**4 - 4*v**4.
-61*v**4
Expand (-30*c**3 + 34*c**3 - 82*c**3)*(-20*c - 5*c - 29 + 30).
1950*c**4 - 78*c**3
Expand (0*f + 2*f - f - 1)*(-2*f + 0*f + f)*(0 - 6 + 4)*(-1143 + 1354 + 5298) - f**2 - 2*f**2 + 0*f**2.
11015*f**2 - 11018*f
Expand -2845*z + 15*z**2 + 2 + 2845*z + (-2*z + 0*z + 4*z)*(-z + 0*z + 0*z) + 2*z**2 - z**2 + 2*z**2 - 2*z**2 - 3*z**2 + 3*z**2.
14*z**2 + 2
Expand -2*l + l - l + (-2 + 5 - 2)*(-58*l + 58*l - 52*l) + 6*l - l + 2*l + (-1 + 1 + 2*l)*(-3 + 1 + 0) + 0*l + l + 0*l + 3 - 3 - l.
-51*l
Expand (-2*p**2 + 3*p**2 - 3*p**2)*(2 + 2 - 2)*(0 + 1 + 5)*(3008*p - 3042*p + 3 + 0).
816*p**3 - 72*p**2
Expand (4*o**2 - 362*o**2 - 41*o**2)*(15*o - 14*o**3 - 15*o) + (-4*o**2 + 3*o**2 + 0*o**2)*(2*o**3 + 2*o - 2*o).
5584*o**5
Expand (95 - 118 + 346)*(-2*v**2 - v**2 + 2*v**2).
-323*v**2
Expand (2*o - 4*o + 3*o)*((-7 + 5 + 11)*(-2 + 1 - 2) - 6 + 2 + 0 - 2 + 1 + 0 - 1 + 0 + 2 + (-6 + 2 + 3)*(-1 - 4 + 3)).
-29*o
Expand (4*t**2 + 3*t**2 - 5*t**2)*(-3 + t**2 + 3) + (-10 + 10 + 12*t**2)*(2*t**2 + 2*t**2 - 2*t**2).
26*t**4
Expand ((15 - 15 + 16*o**3)*(-4*o**2 - o**2 + 4*o**2) + 3*o**5 - 3*o**5 - 2*o**5)*(-35 - 48 + 56).
486*o**5
Expand (-3*r - 2*r + 3*r)*(1033 + 85 + 1079 - 541)*(r + 1 - 1)*(5 - 5 - 4*r).
13248*r**3
Expand (-2*u**3 + 4*u**2 - 4*u**2)*(-13 + 3 - 15)*(0*u - 3*u - 6*u).
-450*u**4
Expand (4 - 4 - 1)*(70 - 65 - 5 - 19108*m).
19108*m
Expand 40*b - 206*b - 162*b + 5*b - 2*b - b - 3*b + 0*b + b - 1 - b + 1 + 3*b + 0*b - 2*b - 1 + 1 + b + (2*b - 1 + 1)*(2 - 3 + 2) - 2*b + 2 - 2.
-327*b
Expand -8*g**2 + 2 + 78*g**2 + 10*g**2 + (5 - 1 - 2)*(449*g - 20*g**2 - 449*g).
40*g**2 + 2
Expand (-4 + 4 + 3*f**3 + (-4 + 4 + f**2)*(-7*f - f + f) - 2*f**3 - 2*f**2 + 2*f**2)*(6*f + 2*f - 6*f).
-12*f**4
Expand (-10 - 9 + 3)*(180*d - 352*d + 175*d - 101).
-48*d + 1616
Expand (-6636 - 1990 - 2328)*(i + 4*i - 4*i).
-10954*i
Expand (-3*m**3 - 6 + 6 + (2*m**2 - 2*m**2 + 2*m**2)*(-m + 3*m - m) + m**3 + m**3 + m**3)*(2 + 0 - 3)*(16*m**2 + 12*m - 12*m).
-32*m**5
Expand (k + 5*k - 4*k)*(-1 + 3 - 3) - 2*k + k + 2*k - 96*k + 3350 - 3338 - 117*k - 11*k.
-225*k + 12
Expand 366*u**2 - u**5 + 3*u**5 - 364*u**2 + (16*u**2 - 16*u**2 - 4*u**4)*(4*u - 3*u - 2*u).
6*u**5 + 2*u**2
Expand 30*y**3 + 5*y**3 + 23*y**3 + (2 - 5 + 4)*(5*y**3 - 17*y**3 + 23*y**3).
69*y**3
Expand -222*h**2 - 105*h**2 + 100*h**2 + (-2 + 2 + h)*(2*h - 2*h + 3*h).
-224*h**2
Expand (7*b + 6 - 6)*(b + 0*b - 3*b + (-11 + 13 - 36)*(-2 - 1 + 4)*(b - 2*b - 2*b)).
700*b**2
Expand (2 + 3 + 1)*(y**2 + 4*y**2 - 2*y**2) - 127*y**2 + 49*y**2 - 2 + 19*y**2.
-41*y**2 - 2
Expand (77 + 35 + 40)*(13*y - 15*y + 7*y)*((2*y + 3 - 3)*(-2 + 1 + 3) - y + 3*y + 0*y).
4560*y**2
Expand (-8*o**2 + 14*o**2 + 13*o**2)*(-2*o - 4*o**3 - o**3 - o**3).
-114*o**5 - 38*o**3
Expand (2*u + 2*u**3 - 62 + 62)*(4 + 142 + 24).
340*u**3 + 340*u
Expand (-8*s - 24*s - 49*s)*(8*s + 14*s + 19*s).
-3321*s**2
Expand -86*b + 201*b + 97*b + 72*b + (-3*b + 0*b + 2*b)*(3 - 4 - 2).
287*b
Expand (6*t**3 - t**3 + 4*t**3)*(-53*t + 64*t - 173*t).
-1458*t**4
Expand (5 - 68 - 13)*(-4*k**2 + 9*k**2 + 2*k**2).
-532*k**2
Expand -1590*o + 1590*o + 2586*o**3 + o - o - o**3 + 0*o + 0*o - o**3 + 1 + 2*o**3 - 1 + (-o + o - o**2)*(-o + 2 - 2).
2587*o**3
Expand 21*x**2 - 29*x**2 + 57*x**2 + (32*x**2 - 60*x**2 - 31*x**2)*(3 + 4 - 6).
-10*x**2
Expand (6*f - f + 0*f)*(56*f**4 + 68*f**4 - 11*f**4) + 2*f**5 + f - f + 4*f**3 - 4*f**3 + 4*f**5 - 2*f**5 + f**5 + 2*f**5.
572*f**5
Expand -3*k**4 - 2*k**4 + 8*k**4 + (k**3 + 2*k**3 - 5*k**3)*(0*k - 2*k + k) + (47 + 0 - 10)*(-k - 1 + 1)*(-2*k + 2*k - 3*k**3).
116*k**4
Expand (10*t - t**3 - 10*t + (-4*t + 4*t - 2*t)*(-3*t**2 + 2*t**2 - t**2) + t**3 + 2*t**3 - 2*t**3 + (-4 - 2*t + 4)*(17*t**2 - t**2 - 4*t**2))*(3 + 0 + 0).
-60*t**3
Expand (11 - 3 + 2)*(4*s + 2*s - 3*s + (6 - 3 - 2)*(6*s - 3*s - 2*s))*(-300 - 251 - 53).
-24160*s
Expand (15*o**3 + 65*o**5 - 37*o**5 - 25*o**5)*(11 - 7 + 41) + 3*o**5 - o**5 - 3*o**5.
134*o**5 + 675*o**3
Expand -746 + 746 - 261*w**2 + (0*w + 0*w + 2*w**2)*(-10 - 4 + 3) + 2*w - 2*w + 2*w**2.
-281*w**2
Expand (-4*s + 4*s - 3*s**2 + (-1 - 1 + 4)*(-2*s**2 - 2 + 2) - 16*s + 16*s - 11*s**2)*(10 + 6 - 1).
-270*s**2
Expand (-28*u + 2006 - 4*u - 2001)*(0 + 1 - 3).
64*u - 10
Expand -2*n**5 + n**5 - n**5 + (-3 - 4 + 6)*(-n**3 - 2*n**2 + 5022*n**5 - 2858*n**5 - 2860*n**5).
694*n**5 + n**3 + 2*n**2
Expand ((-2*d**2 + 5 - 5)*(-2 - 1 + 4) - 4090 + 4090 - 290*d**2)*((4*d - 2*d - 4*d)*(3 + 1 - 2) + 2*d - 3*d - d + 0*d - 3*d + d).
2336*d**3
Expand -28*f - 7*f - 8*f + (-3 + 4 + 0)*(0 - 2 + 1)*(f + 2 - 2).
-44*f
Expand (-7*s - 30*s + 0*s)*(14*s - 7*s + 39 - 44).
-259*s**2 + 185*s
Expand (3*w**3 + 0*w**4 + 2*w**2 - 5*w**4 - 5*w**4)*(-23 - 17 + 8).
320*w**4 - 96*w**3 - 64*w**2
Expand (146 - 294 + 147)*(47*d - 2*d - 224*d).
179*d
Expand (5*f - 5*f + 8 - f)*(-6 - 6 + f + 7)*(4 + 7 + 6).
-17*f**2 + 221*f - 680
Expand (-8 + 5 + 11)*(-34 - 28*h + 34) + 5*h + 0*h - 2*h.
-221*h
Expand (50 - 17*s - 50 + (2 + 4 - 3)*(5*s - s - 5*s))*(68*s**3 - 36*s**3 - 34*s**3).
40*s**4
Expand (1 + 0 - 2)*(3*c**3
|
{
"pile_set_name": "DM Mathematics"
}
|
p**2 - 20*p - 20. Give d*u(v) + j*m(v).
-4*v**3
Let z(f) = 736*f**2 - 828*f + 138. Let g(y) = y**2 + 6*y - 1. Determine -138*g(w) - z(w).
-874*w**2
Let z(v) = -5*v**3 + 3*v**3 + 4*v**3 - 5. Let w(m) = -m**3 + 2. Let u(d) = 2*d + 17. Let b be u(-8). Suppose -5*h + b + 9 = 0. Calculate h*z(i) + 5*w(i).
-i**3
Let c(u) = -u**2 + 1. Let p(r) = 53*r + 29. Let o be p(-1). Let x(f) = -40*f**2 + 24. What is o*c(b) + x(b)?
-16*b**2
Let i(r) = -4*r. Let c(j) be the second derivative of -7*j**3/2 - j**2/2 + 9*j - 2. Calculate 2*c(g) - 11*i(g).
2*g - 2
Let j(m) = m**2 - 4*m - 4. Suppose -f + 30 = 5*f. Let u(a) = f + 1 - 5*a - 11 + 2*a**2. What is 4*j(n) - 3*u(n)?
-2*n**2 - n - 1
Let z(g) = -4*g**2 - 10*g. Let x(d) = 4*d**2 + 8*d. Calculate 6*x(r) + 5*z(r).
4*r**2 - 2*r
Let a(q) = q**3 - 1. Let s(o) = -o**3 - 1. Let n = -614 + 615. Give n*a(b) - s(b).
2*b**3
Let p(w) = 0*w - 2*w - 2*w + 355 - 357. Let d(y) = -y - 1. Let l = 1 - 2. Give l*p(a) + 2*d(a).
2*a
Let q(i) = -2*i. Let x = -49 + 48. Let z(v) = -3*v - 2 + 1 + 4*v. Let j be z(x). Let c(h) = h**2 - 6*h. Give j*c(s) + 7*q(s).
-2*s**2 - 2*s
Let p(m) = -8*m**3 + m - 1. Let d(w) = -w**2 - 20*w + 123. Let u be d(-25). Let n(k) = -k**3 + k - 1. Determine u*p(t) + 2*n(t).
14*t**3
Let s = -2 + 10. Let c(g) = 2*g - 11*g + 10*g - 1 - 5. Let z(j) = -2*j + 17. Give s*c(m) + 3*z(m).
2*m + 3
Let d(z) = 3*z. Let p(k) be the second derivative of -2*k**3/3 - k. Let x = -264 + 178. Let v = x + 82. Give v*p(m) - 5*d(m).
m
Let y be (2/(-3))/(-1)*480/10. Let c = -37 + y. Let q(n) = n**2 + 2*n. Let u(i) = 2*i**2 + 4*i - 1. Calculate c*q(h) + 2*u(h).
-h**2 - 2*h - 2
Let x(c) = -c**2 - 3. Let p(m) = 7*m**2 - 74*m + 17. What is -p(i) - 6*x(i)?
-i**2 + 74*i + 1
Let w(k) = -5*k**3 - k**2 + k. Suppose 3*s + s = 36. Let i(c) = c**2 - 8*c - 2*c**2 + s*c - 4*c**3. Give 6*i(h) - 5*w(h).
h**3 - h**2 + h
Let l(h) = -295*h**2 + 3*h - 3. Let o(a) = 40710*a**2 - 413*a + 413. What is 413*l(q) + 3*o(q)?
295*q**2
Let o(b) = -9*b + 132. Let j(t) = 2*t - 4. Determine 2*j(z) + o(z).
-5*z + 124
Let u(k) = 7*k + 11. Let g(c) = 4*c + 3. Let z(l) = 5*l + 3. Let t(s) = 3*g(s) - 2*z(s). Let r = 13 + 9. Let j be 12*((-3)/2 - -1). What is j*u(v) + r*t(v)?
2*v
Let s(z) = 9*z**2 + 43*z - 2. Let y(v) = -26*v**2 - 134*v + 5. What is -11*s(c) - 4*y(c)?
5*c**2 + 63*c + 2
Let r(h) be the first derivative of 7*h**2/2 + h - 19. Let u(c) be the second derivative of 2*c**3/3 - 6*c. Suppose -n + 10 = -3*n. What is n*u(q) + 3*r(q)?
q + 3
Let v(u) = -u**2 + 1. Let t(d) = -28*d**2 + 35. Suppose 5*q + 45 = 4*q + 5*b, -4*b = 2*q + 62. Calculate q*v(m) + t(m).
7*m**2
Suppose -9 = -26*w + 17*w. Let c(a) = 4*a**2 + a + 3. Let b(k) = -k**2 - 1. Calculate w*c(n) + 5*b(n).
-n**2 + n - 2
Let p(n) = 2*n + 2. Let o(f) = -23*f + 3. What is -o(b) - 3*p(b)?
17*b - 9
Let m(f) = f**2 + 3*f**2 + 4*f + 0*f. Let k(j) = 3*j**2 - 3*j + 7*j - j. Suppose -12 + 2 = -2*g. Calculate g*m(v) - 7*k(v).
-v**2 - v
Let k be (-1 - -12) + (4 - 8). Let q(v) = -3*v - 3*v + 2*v + k*v**2 - 4 - 2*v. Let m(x) = 4*x**2 - 3*x - 2. Give -5*m(a) + 3*q(a).
a**2 - 3*a - 2
Let j(u) = -3*u + 4. Let w be 24/3 - (-4 + 3 + -2). Let a(o) = -7*o - 8*o - 7*o + w + 14*o. Give 6*a(g) - 17*j(g).
3*g - 2
Let h(x) = -2*x**3 - 6*x**2 + 2. Let d(c) = 1. Let n(g) = g**2 + 17*g - 17. Let f be n(1). Calculate f*h(j) - 2*d(j).
-2*j**3 - 6*j**2
Let n(h) = -4*h**2 - 5*h - 2. Let q(o) = 5*o**2 + 6*o + 1. Suppose 43 = -23*f - 95. What is f*n(a) - 5*q(a)?
-a**2 + 7
Let g(j) = -7. Let v(n) = 5. Let f(h) = -3*g(h) - 4*v(h). Let r(i) = i - 3. Calculate 3*f(w) + r(w).
w
Let b(y) = 5*y**2 - 11*y + 17. Let o(k) = -6*k**2 + 13*k - 16. What is 5*b(x) + 4*o(x)?
x**2 - 3*x + 21
Let y(g) = -5*g**2 + g + 5. Let f(o) = 11*o**2 - 2*o - 9. Calculate -6*f(i) - 13*y(i).
-i**2 - i - 11
Let x(k) = -9*k - 2. Let g(d) = -d**3 + 38*d**2 - 107*d + 77. Let p be g(35). Let b(v) = -28*v - 6. Determine p*x(f) - 2*b(f).
-7*f - 2
Let i be 3 - 7/(28/8). Let q(d) = d. Let b(p) = -p**2 - 21*p + 0*p + 19*p. Give i*b(x) + 4*q(x).
-x**2 + 2*x
Let v(d) = -4*d**2 + 15*d + 1. Let u(s) = 11*s**2 - 44*s - 4. Determine -3*u(z) - 8*v(z).
-z**2 + 12*z + 4
Let m(h) = -1. Suppose 0 = 73*n - 76*n + 6. Let r(d) = d**2 - 10*d + 10. Let x be r(9). Let y(s) = -s**2 - s. Calculate n*m(v) + x*y(v).
-v**2 - v - 2
Let y(p) = -p**2. Let h(k) be the first derivative of k**4 + 4*k**3/3 - k**2 - 447. Calculate -h(m) - 6*y(m).
-4*m**3 + 2*m**2 + 2*m
Let j = 81 - 79. Let i(v) be the second derivative of -3*v + 7/6*v**3 + 0*v**j + 0 + 1/12*v**4. Let x(d) = -d**2 - 8*d. Give 6*i(k) + 5*x(k).
k**2 + 2*k
Suppose y = -5 + 6. Let u(j) = j**2 - j + 1. Let d(h) = h. Let z be (2 - -2)*(34/(-8) - -4). Calculate y*u(g) + z*d(g).
g**2 - 2*g + 1
Let v(d) be the second derivative of d**4/2 - 5*d**3/6 - d**2 - 12*d. Let f be -1 + ((-96)/8)/(-4). Let o(h) = 3*h**2 - 2*h - 1. What is f*v(m) - 5*o(m)?
-3*m**2 + 1
Let z(r) = -5*r - 2. Let d(l) = -11*l - 4. Let s be (-112)/(-8) + 4 + -4 + -7. Calculate s*z(x) - 3*d(x).
-2*x - 2
Let n(h) = h + 0 + 5 - 6. Let t(j) be the first derivative of -5*j**3/6 + 5*j**2/2 - 6*j - 6. Let v(x) be the first derivative of t(x). Give -11*n(q) - 2*v(q).
-q + 1
Let r(n) = -11*n**2 - 11*n - 17. Let g(h) = h**2 - h + 1. Let w(y) = -10*y - 3. Let t(a) = -5*g(a) + w(a). Give 6*r(p) - 13*t(p).
-p**2 - p + 2
Let b(g) = -69*g + 13. Let m(s) = s + 3. Determine -b(q) + 4*m(q).
73*q - 1
Let m(k) = 3*k**3 + 5*k**2 + 5. Let q(t) be the third derivative of t**6/20 + 3*t**5/20 + 3*t**3/2 + 15*t**2. Suppose -5*a + 55 = -16*a. Give a*q(n) + 9*m(n).
-3*n**3
Let p(u) = -u. Let h be 130/110 + 4/(-22). Let s(z) = -3 - 4 + 6 - z**2 + 0*z**2. What is h*p(x) + 2*s(x)?
-2*x**2 - x - 2
Let o(p) = 9*p**3 + 12*p**2 - 6*p - 3. Let j(t) = 8*t**3 + 10*t**2 - 5*t - 3. Determine -6*j(g) + 5*o(g).
-3*g**3 + 3
Let k(s) be the third derivative of 19*s**5/60 - 5*s**4/24 + 5*s**3/6 - 2*s**2 - 18*s. Let v(g) = 161*g**2 - 42*g + 42. Calculate -42*k(j) + 5*v(j).
7*j**2
Let c(o) = -5*o**3 - 6*o**2 - 4*o + 110. Let a(f) = 11*f**3 + 14*f**2 + 9*f - 219. What is 3*a(k) + 7*c(k)?
-2*k**3 - k + 113
Let k(t) be the first derivative of -t**3/3 + t**2/2 + t - 4. Let y(v) = 4*v**2 - 3*v - 2. Let s = -338 + 337. Calculate s*y(l) - 2*k(l).
-2*l**2 + l
Let g(j) = -3*j - 1. Let v = 24 + -24. Let n be 1/4*(v + 20). Let s(r) = -2*r - 1. Give n*s(a) - 3*g(a).
-a - 2
Let u(n) = n**2 - 4*n + 1. Let d(s) = s**2 - 3*s + 1. Let a(o) = -o. Let i(k) = 8*k - 10. Let t(v) = -5*a(v) - i(v). Let q be t(4). Give q*u(b) + 3*d(b).
b**2 - b + 1
Suppose -44*v = 12*v + 448. Let x be (-86)/(-18) + 2/9. Let c(l) = -14*l**3 + 14*l**2 - 8*l + 2. Let k(u) = -9*u**3 + 9*u**2 - 5*u + 1. What is v*k(a) + x*c(a)?
2*a**3 - 2*a**2 + 2
Let x(r) = -7*r**3 - 146*r**2 - 4*r + 8. Let o(k) = -6*k**3 - 145*k**2 - 3*k + 6. Determine 4*o(z) - 3*x(z).
-3*z**3 - 142*z**2
Let y(s) = 1. Let x(k) = -2*k - 6. Let p(d) be the second derivative of -d**3/3 - 31*d**2 + 23*d + 1. Let z be p(-25). What is z*y(h) - 2*x(h)?
4*h
Suppose -5*p + p + 24 = -4*n, n + 22 = 3*p. Suppose 7*v - 39 = 20*v. Let s be v/3 + p/(-2). Let z(l) = 4*l - 6. Let g(c) = c - 1. Give s*g(f) + z(f).
-f - 1
Let f(z) = -z**3 - 7*z**2 - 10*z - 3. Let m(c) = c**3 + 6*c**2 + 9*c + 2. Calculate -6*f(a) - 7*m(a).
-a**3 - 3*a + 4
Let z(t) = 103*t - 3. Let i(b) = 207*b - 5. What is 2*i(k) - 5*z(k)?
-101*k + 5
Let q(o) = -o**2 - 8*o - 13. Let n be q(-5). Let i(t) = 8*t**2 + 4*t + 21. Let w(x) = 2*x**2 + x + 5. Calculate n*i(r) - 9*w(r).
-2*r**2 - r - 3
Let d(f) = f + 9. Let l = 7 - 5. Let b(p) = -l*p - 16 - 3 + p. Let k(q) = 2*b(q) + 5*d(q). Let z(y) = -y - 2. Determine 2*k(g) + 7*z(g).
-g
Let h(d) = 9*d**3 - 5*d**2 - 5*d - 2. Let r(w) = -44*w**3 + 24*w**2 + 24*w + 12. Determine -24*h(v) - 5*r(v).
4*v**3 - 12
Let f(w) = 3*w**2 + 5. Let q(d) = d**2 + 1. Suppose 0 = -35*i + 7*i + 112. Give i*q(v) - f(v).
v**2 - 1
Let s(l) be the first derivative of -l - 110. Let i(k) = -k + 6. Calculate -i(y) - 4*s(y).
y - 2
Let r(v) = -2*v + 3. Let x(n) be the third derivative of -1/6*n**3 + 1/24*n**4 - 37*n**2 + 0 + 0*n. What is -r(b) - 4*x(b)?
-2*b + 1
Let h(t) = 50828*t + 917. Let u(d) = 277*d + 5. Give 5*h(i) - 917*u(i).
131*i
Suppose -18*j - h = -17*j, 5*h + 16 = 3*j. Let q(x) = -6*x**2 + 11. Let l(m) = m**2 - 2. Calculate j*q(p) +
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 7*p**2 - 11*p**2)*(3*p - 1 - 4*p - 2*p) to w + c*p**3 + g*p**2 + a*p and give c.
39
Rearrange -28 + 29 + 38*d + d to q*d + g and give q.
39
Rearrange -14*f - 19*f - 16*f + 5 + 45*f to j + m*f and give m.
-4
Express -14 + 35*k - 60*k - 3*k**2 + 25*k as c*k + j + f*k**2 and give f.
-3
Rearrange 4*o**2 - 2*o**2 + 9 - 4*o**2 + o**2 to j + r*o**2 + l*o and give r.
-1
Rearrange 23*y - 15*y - 18*y to w*y + b and give w.
-10
Express 0 - 2*j**2 + 0 + (j - 2*j**2 - j)*(0 + 1 - 2) - 2*j**2 + j**2 - 3*j**2 in the form y*j**2 + q + n*j and give y.
-4
Express (-1 - 6 + 4)*(-1 + 1 - 4*x)*(3 + 0 - 5) as l + z*x and give z.
-24
Express (6*b - 2*b + 13*b)*(-2 + 6 - 4*b + 5*b) as h*b + m*b**2 + l and give l.
0
Express -2*t**2 - t**4 + 17*t**3 - t + 2*t**2 + 3 - 16*t**3 as q*t + y*t**2 + k*t**3 + f + a*t**4 and give k.
1
Rearrange -3*p**2 - 6 - 4*p**2 + 4*p**2 + 4 to the form i + l*p**2 + w*p and give i.
-2
Express 1 + 3*f**2 - 1 - f**3 + 0 - 3*f as p*f + r + t*f**3 + v*f**2 and give p.
-3
Rearrange (2 - 3*d - 2)*(-1 + 2 - 2) + 13*d + 5*d - 33*d to the form l + a*d and give a.
-12
Express -42*x + 48*x + 37*x as c*x + d and give d.
0
Express 5*v - 1 + 3*v + 3*v as i*v + y and give i.
11
Rearrange a**4 + 3 - 2*a**4 + a**2 + 0*a**4 + 5*a**4 - a to x*a**3 + q*a + b*a**2 + r*a**4 + m and give m.
3
Express 3 - 127*j**2 + j**2 - 3 as d + x*j**2 + n*j and give x.
-126
Rearrange -12*f + 6*f - 8*f to o*f + k and give o.
-14
Express 0*i**3 - i**3 - i**3 + (-3*i + 2*i + 0*i)*(13*i**2 + 0 + 1 + 0) in the form c*i**3 + v*i + s + f*i**2 and give f.
0
Express (5 + o - 5)*(4*o - 2*o + o) + o**2 + o**2 + 0*o**2 + 16*o - 16*o + 3*o**2 in the form l*o**2 + t + z*o and give z.
0
Rearrange (1 - z**2 - 1 + 2*z**3)*(0*z - z - 6*z) to the form n*z**2 + a*z + l*z**3 + o + y*z**4 and give l.
7
Rearrange (-11*f - 6866 - 4*f + 6869)*(-3*f + 4*f - 2*f) to z + o*f**2 + n*f and give n.
-3
Express 3*k + 58*k + 290*k - 144*k in the form s*k + y and give s.
207
Rearrange -i**4 + 3*i**2 - 3*i**4 + 1 + 6*i**4 + i**2 + i to the form q + j*i**2 + t*i + b*i**3 + f*i**4 and give j.
4
Rearrange 550*t - 550*t - 99*t**2 to n*t + a*t**2 + r and give a.
-99
Rearrange (-d**2 + 2*d**2 + d**2)*(d + 2 - 2) + (36 - 4*d - 19 - 7)*(d**2 + 2 - 2) to m*d**3 + z*d + s*d**2 + n and give s.
10
Express 17*t - 23*t - 4 + 4*t**2 + 4 in the form v*t + y*t**2 + z and give v.
-6
Express 0*m - 59*m**2 + 56*m**2 - 4*m - 5 as r + d*m**2 + a*m and give d.
-3
Rearrange (28*o**3 - 15*o**3 + 9*o**3)*(2*o - o + 0*o) to the form g*o**2 + v*o**4 + x*o**3 + u + z*o and give v.
22
Rearrange (3*s + 2*s - 3*s)*(4*s**2 - 4 + 4) + (1 - 1 + s)*(-3 + 2*s**2 + 3) + 2*s**3 + 0*s**3 - 4*s**3 to the form u*s + p + h*s**3 + i*s**2 and give h.
8
Express -7*q**2 - 9*q**2 + 2*q**2 in the form o*q**2 + r*q + v and give o.
-14
Express 6*w + 13*w + 6*w - 2*w**3 + w**3 in the form g + z*w**2 + v*w**3 + s*w and give s.
25
Rearrange (3*c - 3*c - c)*(-334*c + 719*c - 167*c) to the form g*c + l + o*c**2 and give o.
-218
Express 2 - 49*r + 75*r - 2 in the form w*r + j and give w.
26
Express (-2*g - 7*g + 4*g)*(-2 + 2 - 2*g) + 3*g - 3*g + g**2 + (3*g - g + g)*(1 - 1 - g) in the form b*g + i + k*g**2 and give k.
8
Express -2*u**2 + 2 - u**3 - 2*u**2 + 2*u**2 in the form i + k*u**3 + b*u**2 + o*u and give k.
-1
Rearrange 32 - w - 32 + 2*w**3 to the form x*w**3 + p*w**2 + l + v*w and give x.
2
Rearrange (0*i + 3*i + 0*i)*(1 - 13 + 3)*(3*i - 5*i + 4*i)*(0*i**2 - i**2 + 3*i**2) to n*i + b*i**2 + l*i**4 + h + f*i**3 and give l.
-108
Express (21 + 43 - 5)*(3*a - a + 0*a) as v + g*a and give g.
118
Express 28*v**2 - 86*v + 86*v in the form y + h*v**2 + t*v and give h.
28
Rearrange 0*f - 3*f**4 - 3*f**2 - 7*f + f**3 + 11*f + f**4 to w + h*f**3 + o*f**2 + g*f + y*f**4 and give g.
4
Rearrange (0 + 2*x + 0)*(-2*x - x + 2*x + 1) to the form h*x**2 + g + q*x and give h.
-2
Rearrange -x**2 + 23 + x**3 + 20 - 51 to the form q + k*x**3 + n*x + u*x**2 and give q.
-8
Rearrange 10*l**2 + l**2 + 12*l**2 to the form v*l + n*l**2 + u and give n.
23
Rearrange -3 + 2*s - 3*s - 2*s**2 - 5 to v*s**2 + o + k*s and give v.
-2
Express -25*z - 17 + 17 in the form q*z + b and give q.
-25
Express (-4 + 1 + 1)*(-2*v + 2*v**2 + 2*v) + 406*v**2 - 742*v**2 + 101*v**2 in the form h + o*v + y*v**2 and give y.
-239
Rearrange 190*q + 217*q - 523*q to the form v*q + d and give v.
-116
Rearrange 6 + 3*d**4 + 2*d**2 + 12 + 2*d + 4 - 5*d**4 to f*d**2 + b*d**4 + m*d**3 + k*d + x and give b.
-2
Express 1 - 6*d**2 + 7*d**3 - 2*d - d**4 + 4*d**2 - 7*d**3 as a + h*d**3 + g*d**4 + j*d + y*d**2 and give y.
-2
Express 9*y**3 - 7*y**2 + 3*y**2 - 8*y**3 - 8*y**2 as u + j*y**2 + g*y + v*y**3 and give j.
-12
Express 7*m + 7*m - 21*m + 6*m in the form r*m + b and give r.
-1
Express (14 - 5*k - 14)*(3 - 6 + 1) + 4*k + 8 - 4 - 6 as m + j*k and give m.
-2
Rearrange 8*s - s**2 + 1 + 6*s**3 + 0 - 8*s to the form k*s**2 + p*s**3 + r*s + f and give f.
1
Express -282*z + 1 - 3 - 2*z**2 + 269*z in the form v*z**2 + c*z + a and give a.
-2
Rearrange (-w**2 - 3*w + 9 - 3*w - 11)*(0*w + 4*w - 2*w) to s + i*w**2 + v*w + p*w**3 and give v.
-4
Express -241 + 12*o + o**2 + 241 + (5 - 5 + 2*o)*(2*o - 3*o + 0*o) in the form k + n*o + d*o**2 and give n.
12
Express 26*b + 40 - 40 in the form z*b + y and give z.
26
Express 0*t + 0*t - 4*t - 9*t as f + l*t and give l.
-13
Express -8*j**4 + 8*j - 8*j + (-j + 0 + 0)*(2 + 0 - 3)*(0 + 2 - 1)*(-3 + 3 + 3*j**3) in the form g*j + n + o*j**3 + m*j**2 + x*j**4 and give x.
-5
Express (-2*i**2 - 3 + 3)*(-4*i + 3*i + 26*i) as r + x*i + w*i**2 + p*i**3 and give p.
-50
Express 0*b - 4*b + 16*b + 6*b as o*b + i and give i.
0
Express y**3 + 8 - 5 - 4 - y - 3*y**3 as l*y + s*y**2 + g + i*y**3 and give g.
-1
Express 2*y + 4*y + 54*y as q*y + w and give q.
60
Express -20*g + 19*g - 25*g + (1 + 0 + 1)*(g + 4*g - 2*g) as z + m*g and give m.
-20
Express 3*s**3 - 6*s**3 - 2*s - s**4 + 12 + 5*s**3 in the form v*s**4 + y*s**3 + z*s + u + x*s**2 and give x.
0
Express -10*u - 12*u - 20*u - 13*u as g + s*u and give g.
0
Express (6 + 6 - 2)*(11*k**2 + 0*k**2 - 29*k**2) in the form u*k + r + y*k**2 and give y.
-180
Express -2 + 2*v**3 + 2*v**3 + 3*v - 2*v - 5*v**3 as z*v**2 + x*v**3 + h*v + f and give f.
-2
Express -2*w**2 - w**2 - w**2 + 5*w**2 - 3*w in the form i*w**2 + l + f*w and give i.
1
Rearrange (2*h**2 + 2*h**2 - 6*h**2)*(-1 + 3 - 3*h**2 + 34*h**2) to i*h**2 + l*h + k + v*h**4 + j*h**3 and give j.
0
Express (-3*c + c + c)*(257 - 135 - 130)*(-1 + 4 - 2) in the form d*c + n and give d.
8
Express 6*f**2 - 6*f**2 + 3*f**2 + (3 - 5 + 1)*(0*f**2 + 2*f**2 - 3*f**2) + 3*f - 3*f + 2*f**2 - 3*f - f**2 + 3*f as t*f + k + m*f**2 and give m.
5
Rearrange -1 + z**2 - 3*z**4 - 9*z + 3*z + 2 - 2*z**2 to b + v*z**3 + c*z**2 + k*z + i*z**4 and give b.
1
Rearrange 33 + 19*m - 33 + m**2 to the form d*m**2 + r + y*m and give d.
1
Rearrange 8 - 21*g**3 + 5 + 19*g**3 to d*g**3 + v*g + a + q*g**2 and give d.
-2
Rearrange 3*k + 5*k + k + (-k + 3*k + 0*k)*(-2 + 5 - 2) to the form n*k + y and give y.
0
Express 31*g**2 + 2*g**2 + 9*g**2 in the form h*g + w + d*g**2 and give d.
42
Express -9*x**2 - 11*x + 3*x**2 + 15*x as c*x + h*x**2 + f and give c.
4
Rearrange (14 + 14*d - 14)*(-d + 5*d - 3*d) - 4*d**2 + 0*d**2 + 2*d**2 to p*d**2 + g + v*d and give p.
12
Express 538*g**2 - 537*g**2 + 0*g - 22 + 0*g in the form f + p*g + z*g**2 and give f.
-22
Express (-3 - 1 + 3*r + 2)*(-2 + 4 + 2 + (-5 + 0 + 3)*(0 + 7 - 2)) in the form j + z*r and give z.
-18
Rearrange -338*t**3 + 3*t - 2 + 334*t**3 - 3*t**4 + 2 to the form j + u*t**4 + z*t + a*t**2 + c*t**3 and give c.
-4
Express -2 + 2 + 2*o + (2 - 1 - 4)*(-o - 3*o + 5*o) + (-4 + 3 + 0)*(0*o + 4*o - o) in the form d*o + a and give d.
-4
Express -18*i + 5 - 5 as d*i + o and give d.
-18
Express (-13*l**3 - 7*l - 5*l + 14*l**3)*(16 + 11 + 9) in the form m + w*l + q*l**2 + c*l**3 and give c.
36
Rearrange 5191*r**4 - 5189*r**4 + 0 + 2 - 27*r**2 to m*r**2 + h*r**3 + s*r + u*r**4 + w and give w.
2
Rearrange -86*h - 57*h + 81*h to the form b*h + s and give b.
-62
Express (2 - 1 + 0 + 1 + 4 - 4 + (2 + 2 - 2)*(-4 + 1 + 5) + 0 + 1 + 1 + 2 - 1 + 8)*(3*z - 2*z + 2*z) in the form w*z + y and give w.
51
Express 17*h**2 + 57*h**2 + 16*h**2 as s + c*h + x*h**2 and give x.
90
Rearrange -2*v**3 + 3*v**3 + 0*v*
|
{
"pile_set_name": "DM Mathematics"
}
|
g(o) - w(o)?
4*o**3 - 15*o**2 + o + 1
Let z(t) = 144*t**2 - 27. Let h(s) be the second derivative of s**2 - 93*s - 11/12*s**4 + 0*s**3 + 2. Calculate 27*h(p) + 2*z(p).
-9*p**2
Let r(c) = -62*c + 2. Let j(k) = 170*k - 7. Give 6*j(v) + 17*r(v).
-34*v - 8
Let y(l) = -3*l**2 + 5 - 6*l**2 - 8*l + 3 - l**3. Let d be y(-8). Let c(r) = 8*r + 2*r**2 - 5*r - 47 + 81 + 5*r - 42. Let q(w) = w - 1. What is d*q(j) - c(j)?
-2*j**2
Let p(k) = 9190*k**2 - 13*k - 39. Let z(m) = 4597*m**2 - 6*m - 18. Calculate 6*p(b) - 13*z(b).
-4621*b**2
Let n = 97 - 97. Suppose n = 3*h + 4*s + 11, -2*h + 2*s = 6 - 8. Let k(y) = -4*y - 2. Let f(c) = -3*c + 0*c + 4*c. Determine h*k(w) - 6*f(w).
-2*w + 2
Let x(i) = i**3 - 75*i**2 - 3*i + 4. Let m(j) = 77*j**2 + 3*j - 3. Calculate 4*m(o) + 3*x(o).
3*o**3 + 83*o**2 + 3*o
Let w(l) = -31*l**3 - 17*l + 3. Let z(j) = -11*j**3 - 6*j + 1. Let k(g) = 6*w(g) - 17*z(g). Let v(t) = -9*t**3 - 4*t - 11. Determine 22*k(y) + 2*v(y).
4*y**3 - 8*y
Let f = 182059 - 182060. Let m(b) = -4*b - 24. Suppose -1 + 3 = k. Let x(v) = 0 - 1 + k. Calculate f*m(s) - 24*x(s).
4*s
Let k(r) = 76*r**3 - 10*r**2 + 19. Let t(u) = -63*u**3 + 10*u**2 - 18. Determine 5*k(m) + 6*t(m).
2*m**3 + 10*m**2 - 13
Let f(p) = 43 - 93 + 49. Let i = 40 - 35. Let d(l) = 2*l + 5. Let c(r) = -r. Let a(z) = -2*c(z) + d(z). Determine i*f(q) + a(q).
4*q
Let y(q) = 4997 - 2494 + q - 2500 - 14*q. Let c(m) = -4*m + 1. Determine -14*c(u) + 4*y(u).
4*u - 2
Let c(g) = 6*g**3 + 4*g**2 + 3. Let r(o) be the second derivative of 19*o**5/20 + 11*o**4/12 + 4*o**2 + 1000*o. Give -8*c(m) + 3*r(m).
9*m**3 + m**2
Let m(q) = -10*q**2 - 7*q + 51. Let b(x) = -3*x + 2520 - 3*x**2 - 2503 + 0*x**2 + x. Give 7*b(y) - 2*m(y).
-y**2 + 17
Let c(x) = 117*x + 10. Let d(w) = -118*w - 7. Give 5*c(l) + 6*d(l).
-123*l + 8
Let r(y) = -2*y + 18. Let w = 115 - 107. Let s be r(w). Let v be (-10)/25 - (36/5)/s. Let o(f) = f. Let x(g) = 5*g. Give v*o(m) + x(m).
m
Let k(v) = -7*v**3 + 31*v**2 - 6*v + 21. Let b(x) = -9*x**3 + 32*x**2 - 8*x + 23. Give -3*b(l) + 4*k(l).
-l**3 + 28*l**2 + 15
Suppose 0 = -55*z + 60*z + 4*u + 31, -u = -3*z - 22. Let h(a) = 27*a**3 + 7*a**2 - 7*a + 13. Let m(l) = -9*l**3 - 2*l**2 + 2*l - 4. What is z*m(t) - 2*h(t)?
9*t**3 + 2
Let p(z) = z**2 + z - 12. Let y(d) = d**2 + 2*d - 11. Let b be 3/((-7 - (-160)/25)/(4/10)). Give b*y(k) + 3*p(k).
k**2 - k - 14
Let a(y) = -17*y**2 + 3*y - 3. Let z(x) be the first derivative of -40*x**3 + 10*x**2 - 20*x + 375. Give 20*a(l) - 3*z(l).
20*l**2
Let v(k) = 2188*k + 5. Let q(m) = 2189*m + 6. What is 5*q(u) - 6*v(u)?
-2183*u
Let h(c) = -770*c + 6. Let i be h(0). Let q(b) = -b + 22. Let y(n) = -n + 22. Give i*y(z) - 5*q(z).
-z + 22
Let t(h) = 4*h - 1. Let i(l) = 0 + 1 + 3 + 62933*l - 3 - 62937*l. Determine -2*i(m) - 3*t(m).
-4*m + 1
Let l(x) = -17*x**2 - 7808. Let y(k) = -4*k**2 - 1952. Calculate 2*l(c) - 9*y(c).
2*c**2 + 1952
Let z(u) = -1. Let y(w) = 5*w + 5. Let j(f) = 3*f + 3. Let q(l) = 11*j(l) - 6*y(l). Suppose 4*d = 7*d + 3*x - 12, -5*x + 8 = -7*d. Calculate d*q(h) + 6*z(h).
3*h - 3
Let b(f) = -f**2 + f. Let p(k) = -3*k**3 + 2*k**2 + 2*k. Let h be ((-4)/5)/(((-748)/85)/22). Give h*b(c) - p(c).
3*c**3 - 4*c**2
Let q(r) = r**2 + 125*r + 30. Let b(t) = -2*t**2 - 251*t - 68. What is 2*b(w) + 5*q(w)?
w**2 + 123*w + 14
Let m(f) = -f**3 + 15*f**2 - 37*f + 16. Let d be m(12). Let y(s) = -2*s - 1 + 5*s - d*s - 2*s. Let p(v) = 13*v + 4. Determine 2*p(z) + 9*y(z).
-z - 1
Let z(b) = -29*b**2 - 12*b + 41. Let r(c) = 60*c**2 + 25*c - 96. What is 3*r(s) + 7*z(s)?
-23*s**2 - 9*s - 1
Let j(b) = -6*b + 9440. Let n(t) = 3*t - 4721. Determine 3*j(g) + 5*n(g).
-3*g + 4715
Let o(k) = 2*k - 2. Let a(f) = -2*f + 1. Let m(u) = -u**3 + 2*u**2 + 2*u + 17. Let s be m(4). Determine s*o(h) - 6*a(h).
-2*h + 8
Let c(m) = -81*m + 803. Let l(h) = 97*h - 803. Give 6*c(b) + 5*l(b).
-b + 803
Let i(n) = -5*n - 4. Suppose 1086090*q - 1086137*q = -235. Let p(f) = 9*f + 7. Let v = -1 + 4. Calculate q*i(u) + v*p(u).
2*u + 1
Let y(w) = -w**2 + 12*w**2 + 10 - 2 - 5 - 17*w. Suppose -9 = -4*i + 11. Let m(g) = 3 + 4 - 1 + 4*g**2 - 6*g - i. What is -8*m(l) + 3*y(l)?
l**2 - 3*l + 1
Let h(u) = -11*u**2 - 1845*u + 7. Let z(l) = -5*l**2 - 902*l + 3. Determine 4*h(b) - 9*z(b).
b**2 + 738*b + 1
Let u(h) = 891*h**3 - 3*h - 3. Let l(p) = -297596*p**3 + 1003*p + 1003. Calculate -6*l(z) - 2006*u(z).
-1770*z**3
Let n(g) = -149*g**2 - 5*g - 5. Let u(l) = -2*l**2 - l - 1. Determine -6*n(k) + 30*u(k).
834*k**2
Let p(r) = 28*r**2 + 23*r - 37. Let m(n) = -9*n**2 - 8*n + 14. Determine 17*m(h) + 6*p(h).
15*h**2 + 2*h + 16
Let q(u) = 2*u - 2. Suppose -r - 5 + 16 = 3*t, 2*r - t = 8. Suppose r*o - 43 = h, -5*h + 1 = -0*o + 2*o. Let d(y) = 6*y - 6. Give o*q(n) - 3*d(n).
-2*n + 2
Let t(s) = 602*s + 7332. Let y be t(-12). Let i(j) = 126*j**2 + 108. Let h(c) = -c**2 - 1. Give y*h(q) + i(q).
18*q**2
Let o(l) = 16*l + 28. Let s(y) = y + 6. Determine -o(d) + s(d).
-15*d - 22
Let r(b) = 338*b**2 - 12. Let z(v) = 306*v**2 - 11. Determine 3*r(c) - 4*z(c).
-210*c**2 + 8
Let l(f) = -3*f + 2396. Let s(q) = -4*q + 3595. Calculate 7*l(g) - 5*s(g).
-g - 1203
Suppose -270 = -372*q + 1962. Let j(p) = p**2 - p + 4*p**3 - 3*p**3 + 2*p. Let n(w) = 4*w**3 + 2*w**2 + 8*w. Give q*j(a) - n(a).
2*a**3 + 4*a**2 - 2*a
Let g(d) = 2*d + 86. Let j(m) = -2 + 38 - 2*m - m + 7 + 4*m. Determine 4*g(s) - 9*j(s).
-s - 43
Let i(z) = z**2 - 3*z + 4. Suppose -113*k - 183 + 267 + 368 = 0. Let v(r) = -r**2 + 6*r - 7. Determine k*v(f) + 7*i(f).
3*f**2 + 3*f
Let a(b) be the first derivative of -b**4/4 - b**2 - 4*b - 6. Let g(u) be the first derivative of -u**4/4 - u**2/2 - 3*u - 503. Determine -2*a(m) + 3*g(m).
-m**3 + m - 1
Let y(g) = -312*g**2 - 5*g - 43. Let j(f) = f**2 + 11. What is -4*j(h) - y(h)?
308*h**2 + 5*h - 1
Let l(i) = -2*i**2 + 29*i + 2. Let p be -9*((-2604)/(-189) - 14). Let h(a) = a**3 + 3*a**2 - 30*a - 3. Give p*h(q) + 3*l(q).
2*q**3 + 27*q
Let i(c) = c**3. Let z(w) = w**3 - 113*w. Give -2*i(p) + z(p).
-p**3 - 113*p
Let o(y) be the third derivative of -5*y**4/24 - y**3/6 + 125*y**2 + 3*y. Let q(j) = -11*j - 1. Give 5*o(b) - 3*q(b).
8*b - 2
Let u(f) = -126*f + 65. Let y(v) = -v - 13. Give -u(j) - 6*y(j).
132*j + 13
Let b(a) = 5*a**2 - 13*a + 67. Let f(c) = -9*c**2 + 25*c - 135. Calculate -5*b(m) - 3*f(m).
2*m**2 - 10*m + 70
Let l(q) = -50*q**3 - 10*q**2 - 20*q + 34. Let m(j) = -4*j**3 - j**2 - 2*j + 1. Give l(f) - 10*m(f).
-10*f**3 + 24
Let s(l) = 2*l**2 + 5*l + 4. Let a(d) = -5*d**2 - 2*d + 30. Let m(y) = -y**2 + 8. Let b(v) = a(v) - 4*m(v). What is 10*b(w) + 4*s(w)?
-2*w**2 - 4
Let d(j) = 45*j + 2. Let a(p) be the second derivative of 11*p**3/3 + p**2/2 + 4531*p. Determine 9*a(x) - 4*d(x).
18*x + 1
Let x(q) = 5*q**2 + 3. Let p(z) = 11*z**2 + 6. Suppose -3*f + 13 = 3*u + 2*u, 5*u = 5*f + 5. Suppose -8 = u*n - 26. Give n*x(s) - 4*p(s).
s**2 + 3
Let l(q) be the second derivative of -q**4/12 + q**3/6 + q**2/2 + 2*q - 366. Let w(s) = 7*s**2 - 4*s - 6. Give -5*l(r) - w(r).
-2*r**2 - r + 1
Let g(l) = l + 1. Let y(b) = -b**2 + 19*b + 67. Let i be y(22). Let t(k) = 2*k**2 - 5*k - 3. Calculate i*t(z) + 3*g(z).
2*z**2 - 2*z
Let i(c) = -441*c**2 - 36*c + 7. Let m(t) = -879*t**2 - 66*t + 13. What is 11*i(f) - 6*m(f)?
423*f**2 - 1
Let p(l) = 2*l**3 - 2*l**2 + 1. Let u(q) = 9*q**3 - 11*q**2 - 76. Give -3*p(s) + u(s).
3*s**3 - 5*s**2 - 79
Let q(t) = -171 - 3*t**3 + 181 + 2*t**3 + 2*t. Let v be q(0). Let u(o) = -13*o - 10*o - 4 + 21*o + 4. Let w(r) = r**2 - 5*r. Calculate v*u(i) - 4*w(i).
-4*i**2
Suppose z = -n + 6*n + 20, -3*z + 21 = -2*n. Let l(d) = 2*d**2 - 2*d - 1. Let o(c) = -74*c**2 - 2 - 3*c + 76*c**2 + 2*c + 1. Determine z*l(f) - 6*o(f).
-2*f**2 - 4*f + 1
Let g = -1 + 5. Let t(c) = -5*c - g + 4. Let y(d) = d. Let s(r) = -r**3 + 3*r**2 - 2*r + 1. Let l be s(2). What is l*t(v) + 6*y(v)?
v
Let d(a) be the second derivative of -19*a**3/3 + 4*a**2 - 26300*a. Let u(q) = 4*q + 6 - 17*q - 3. Give 3*d(l) - 8*u(l).
-10*l
Let c(a) = 2. Let k(w) = 17*w - 3. Calculate -3*c(j) - 3*k(j).
-51*j + 3
Let u(r) = -594*r**3 - 5*r**2 + 9*r + 9. Let n(o) = 295*o**3 + 3*o**2 - 5*o - 5. Give -9*n(y) - 5*u(y).
315*y**3 - 2*y**2
Let t(s) be the second derivative of s**5/20 + 11*s**4/12 - s**3/6 + 2*s - 1980. Let v(d) = 2*d**3 + 21*d**2 - 2*d. Give -5*t(r) + 3*v(r).
r**3 + 8*r**2 - r
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{
"pile_set_name": "DM Mathematics"
}
|
-144 + 146. Find z, given that -15*z**2 + 17*z**k - 4*z - z**4 + 1 + 4*z**3 - 5*z**2 + 3 = 0.
-1, 1, 2
Let z = 143 - 141. Let s be z/(-13) - 3*(-20)/390. Solve 3/4*g + s + 9/4*g**3 - 3*g**2 = 0 for g.
0, 1/3, 1
Let n(h) = -10*h**2 - 315*h + 325. Let x = 280 - 283. Let k(j) = -5*j**2 - 157*j + 162. Let b(d) = x*n(d) + 5*k(d). Factor b(m).
5*(m - 1)*(m + 33)
Let o(x) be the third derivative of -2*x + 1/480*x**6 - 32*x**2 + 0*x**4 + 1/120*x**5 + 0 + 0*x**3. Factor o(v).
v**2*(v + 2)/4
Suppose -2944*i = -3031*i + 261. Factor 3*p - 15/4*p**i + 3/4*p**4 - 6 + 9/2*p**2.
3*(p - 2)**3*(p + 1)/4
Let t = -612 + 623. Let u be (t - (-5344)/(-504)) + 2/(-18). Factor -8/7*o**3 + 10/7 + 8/7*o + u*o**4 - 12/7*o**2.
2*(o - 5)*(o - 1)*(o + 1)**2/7
Let r = 230 + -221. Let g(z) be the first derivative of -r + 26/3*z**4 - 70/27*z**6 - 124/45*z**5 + 0*z - 16/9*z**2 - 16/27*z**3. What is w in g(w) = 0?
-2, -2/7, 0, 2/5, 1
Let d(q) be the second derivative of 1/2*q**3 + 1/16*q**4 + 105*q + 0 - 15/8*q**2. Determine p, given that d(p) = 0.
-5, 1
Let v = 23 - 20. Let 74*r - 105*r**2 + 432 - 2*r**4 + 379*r + 48*r**v + 369*r**2 + 123*r + 5*r**4 = 0. Calculate r.
-6, -2
Let u = -643 - -642. Let p be u - ((-161)/45 + 36/45). Let 4/9*b**3 - p*b + 0 + 2/9*b**4 - 8/9*b**2 = 0. What is b?
-2, 0, 2
Let p be 3 + (-220)/209 + 28/532. Factor 4*l + 2/3*l**p + 6.
2*(l + 3)**2/3
Let f be (-5)/5*186/(-31). Let b(u) be the second derivative of 7/50*u**5 + 1/15*u**f + 0 - 9*u + 1/10*u**4 + 0*u**2 + 1/105*u**7 + 0*u**3. Factor b(y).
2*y**2*(y + 1)**2*(y + 3)/5
Let o(b) be the third derivative of -b**6/24 - b**5/2 + 35*b**4/24 + 50*b**3 + 323*b**2 - b. Let o(g) = 0. Calculate g.
-5, -4, 3
Factor 104907 + 561*s + 3/4*s**2.
3*(s + 374)**2/4
Let h(b) = 15*b**3 + 46*b**2 + 47*b + 16. Let u(m) = 45*m**3 + 139*m**2 + 143*m + 49. Let o = -420 + 416. Let s(d) = o*u(d) + 11*h(d). Factor s(q).
-5*(q + 1)**2*(3*q + 4)
Let r(g) be the first derivative of -g**4 + 136*g**3/3 - 342*g**2 - 1944*g - 1414. Let r(t) = 0. What is t?
-2, 9, 27
Let i(s) be the second derivative of -2 + 4/3*s**2 + 16/9*s**3 - 44*s + 1/6*s**5 + 17/18*s**4. Factor i(n).
2*(n + 1)*(n + 2)*(5*n + 2)/3
Suppose -7616 + 32681 = 15*u. Let p = -1669 + u. Determine j so that 0*j**p + 0*j + 1/5*j**4 + 0 - j**3 = 0.
0, 5
Let y(g) be the third derivative of -g**5/12 - 25*g**4/6 - 95*g**3/6 + 152*g**2 + 5*g. Factor y(l).
-5*(l + 1)*(l + 19)
Let s(z) = 7*z + 36. Let a be s(-8). Let i be (11/(-55))/(2/a). Factor -c**i - c**3 + 1 - 48*c + 38*c + 11*c**3.
(c - 1)*(c + 1)*(10*c - 1)
Let f(k) be the first derivative of k**8/7560 - 11*k**6/810 - 2*k**5/45 + 5*k**4/12 - k**3 + k + 78. Let v(b) be the third derivative of f(b). Solve v(h) = 0.
-3, 1, 5
Let i(z) = 15*z**3 - 628*z**2 - 3884*z + 4497. Let b(m) = -m**3 + 42*m**2 + 259*m - 300. Let x(q) = 93*b(q) + 6*i(q). Find r, given that x(r) = 0.
-6, 1, 51
Let u(q) = -3*q**2 + 18*q - 11. Let d be u(5). Solve -8*a**3 + 4*a + 41*a**4 + d*a**5 - 6 - 2 - 49*a**4 + 16*a**2 = 0.
-1, 1, 2
Let w be 62/12 - (23/2 - 7). Factor -2*g**2 + w*g**3 + 0 + 0*g.
2*g**2*(g - 3)/3
Let c(y) be the third derivative of -y**7/210 + y**6/60 + 56*y**5/15 - 75*y**4/4 + 75*y**3/2 - 2*y**2 - 5*y + 13. Factor c(x).
-(x - 15)*(x - 1)**2*(x + 15)
Let -930 - 805*o**3 - 194*o - 646*o + 160*o**3 + 1530*o**2 + 10*o**4 + 2095*o = 0. What is o?
-1, 1/2, 3, 62
Let d = 23 - 17. Factor -18*s**2 - 23*s**2 + 46*s**2 - d*s + s**3.
s*(s - 1)*(s + 6)
Suppose 217*l - 208*l = 4905. Let c = 545 - l. Factor 1/2*a**3 + c + 2*a**2 - 5/2*a.
a*(a - 1)*(a + 5)/2
Let l(k) = -3*k**2 - 13*k + 13. Let p be l(-5). Factor -302*a**2 + 3*a**5 + 104*a - 13*a**4 - 23*a**4 + 171*a**p + 364*a - 216 - 100*a**2.
3*(a - 3)**2*(a - 2)**3
Let z be ((-320)/(-160))/((0 - -1)/(11/110)). Let 0 - 1/5*w**5 + z*w**3 - 2/5*w**2 + 2/5*w**4 + 0*w = 0. Calculate w.
-1, 0, 1, 2
Let n(a) = a**2 + a. Let z(r) = -r + 10. Let i be z(9). Suppose 2*c - i = c. Let w(y) = -4*y. Let f(m) = c*w(m) + n(m). Let f(x) = 0. Calculate x.
0, 3
Suppose -4*s + 163 = -49. Factor 32 + 6 + s*z + 4 + 8*z**2 + 9*z.
2*(z + 7)*(4*z + 3)
Let q(j) = -29*j**2 + 86*j - 53. Let s be q(2). Factor -2/11*d**s - 4/11 + 0*d**2 + 6/11*d.
-2*(d - 1)**2*(d + 2)/11
Let u = -45911/1200 - -957/25. Let z(v) be the third derivative of -4*v**2 + 0*v**4 + u*v**6 + 0*v + 0*v**3 + 0 + 1/24*v**5. Factor z(h).
5*h**2*(h + 1)/2
Find a, given that 2*a**3 - 78*a**2 - 5*a**3 + 351*a + 11200 - 11470 = 0.
-30, 1, 3
Suppose 0 = 5*t + 5*g - 35, -g - 3 = -5*t + 2*g. Suppose -36*d**2 - t*d**3 - 33*d - 1104 + 1104 = 0. Calculate d.
-11, -1, 0
Let i be 453663/46683 + (-4)/78. Suppose 1/3*u**2 - i*u + 0 = 0. What is u?
0, 29
Let y = 43068 - 43066. Solve -15/7 - 3/7*u**y - 18/7*u = 0.
-5, -1
Suppose 0 = -3*z - 2*g - 1567, 3*z + 3*g + 0*g + 1566 = 0. Let y = -3660/7 - z. Determine u so that -1/7*u**2 + y + 0*u = 0.
-1, 1
Let f(h) = -1627*h - 84. Let r be f(-2). Let l be r/300 - 3/18. Factor -338/5 - l*i - 2/5*i**2.
-2*(i + 13)**2/5
Let b be -38 - 0 - (-1*4 - -2). Let l = b - -43. Let x(v) = 19*v**2 + 8*v + 3. Let k(u) = -13*u**2 - 5*u - 2. Let p(s) = l*k(s) + 5*x(s). Factor p(j).
(j + 1)*(4*j + 1)
Determine v, given that 816 - 4/3*v**2 + 2444/3*v = 0.
-1, 612
Let i(g) be the second derivative of -g**5/40 + 29*g**4/8 + 59*g**3/4 + 89*g**2/4 - 4*g + 1. Let i(z) = 0. What is z?
-1, 89
Factor -172*h**2 + 164*h + 169*h**2 + 3471 - 392*h.
-3*(h - 13)*(h + 89)
Let k(f) = -3*f**4 + 9*f**3 - 43*f**2 + 47*f - 16. Let j(t) = -7*t**4 + 16*t**3 - 87*t**2 + 94*t - 31. Let g(i) = -2*j(i) + 5*k(i). Let g(q) = 0. What is q?
1, 2, 9
Determine o so that -4*o - 1/3*o**2 - 32/3 = 0.
-8, -4
Let j(n) be the third derivative of 2/45*n**5 - 161*n**2 + 0 + 2/3*n**3 - 1/180*n**6 + 0*n + 11/36*n**4. Suppose j(c) = 0. What is c?
-1, 6
Factor -f**4 + f**3 - 14*f**2 - f**3 + 138 - 58 - 65 - 16*f**3 + 16*f.
-(f - 1)*(f + 1)**2*(f + 15)
Let o(j) be the first derivative of 53 - 23/4*j**4 - j - 3/4*j**6 + 17/5*j**5 + 4*j**3 - 1/4*j**2. Determine w, given that o(w) = 0.
-2/9, 1
Suppose 27 = -11083*w + 11092*w. Let t(p) be the first derivative of 2/3*p**2 - 1/12*p**4 - 4/3*p - 5 + 1/9*p**w. Determine d so that t(d) = 0.
-2, 1, 2
Let a(o) = 2*o + 6. Let f(i) = i**2 - 271*i - 12. Let y(b) = -2*a(b) - f(b). Let y(u) = 0. Calculate u.
0, 267
Suppose 0 = -11*p - 751 + 795. Let r(u) = -2*u. Let z be r(-1). Factor -5*n**3 - n**3 + z*n**4 + 2*n**p - 2*n**4 + 6*n**2 - 2*n.
2*n*(n - 1)**3
Let x be (32/6)/(((-40)/15)/(-4)). Suppose -u = 3*f - 6, -3*u + x = 4*f + 2*u. Factor 4*w**2 + 15*w**3 - 3*w**f - 5*w**2 - 6*w**2 - 5*w**5.
-5*w**2*(w - 1)**2*(w + 2)
Find c such that -1/5*c**2 + 39/5*c - 224/5 = 0.
7, 32
Let y(o) be the second derivative of -3*o**5/80 + 3*o**4/4 + 8*o**3 - 1350*o. Suppose y(p) = 0. Calculate p.
-4, 0, 16
Let u(v) be the first derivative of 2*v**3/39 + 804*v**2/13 - 248*v + 15927. Factor u(j).
2*(j - 2)*(j + 806)/13
Let m(a) be the third derivative of -a**9/12096 - 5*a**8/576 - 17*a**7/504 - 31*a**5/30 + 170*a**2. Let y(q) be the third derivative of m(q). Factor y(u).
-5*u*(u + 1)*(u + 34)
Determine y, given that -15/2*y**3 + 15/2*y**2 - 5/2*y**4 + 55/2*y + 15 = 0.
-3, -1, 2
Factor y**2 + 1/2*y**5 + 163/2*y - 82*y**3 - 41 + 40*y**4.
(y - 1)**3*(y + 1)*(y + 82)/2
Let q(j) be the third derivative of -j**6/10 + j**5/20 + j**4/2 - j**3/2 - 1143*j**2. Factor q(n).
-3*(n - 1)*(n + 1)*(4*n - 1)
Let n(a) be the second derivative of 75*a + 3*a**2 + 0 + 1/15*a**6 - 2/3*a**4 + 2/3*a**3 - 1/5*a**5. Factor n(f).
2*(f - 3)*(f - 1)*(f + 1)**2
Let w be 12/(-26) - (-324696)/53950*30/9. Factor -w*n**2 + 28/5*n - 2/5.
-2*(7*n - 1)**2/5
Solve 2/5*w**5 - 126*w + 0 + 1056/5*w**2 - 44*w**3 - 208/5*w**4 = 0 for w.
-3, 0, 1, 105
Let t be 756/7*(-4)/(-6). What is h in 168*h**3 + t + 32*h**5 + 308*h**2 - 12*h**5 + 108*h**5 - 266*h**4 - 300*h - 118*h**4 = 0?
-1, 1/2, 3/4, 2
Let c = 167 + -165. Find a such that a + 5*a**2 + 6*a**3 + 9*a + 8*a**2 + 2 + a**c = 0.
-1, -1/3
Let r(v) be the second derivative of -v**7/6300 - v**6/90 - v**5/3 + v**4/12 + 38*v**3/3 + 130*v. Let g(j) be the third derivative of r(j). Factor g(i).
-2*(i + 10)**2/5
Let n = 434 - 441. Let d be n - (-20 + (-5 - -13)). Factor -24/5*b**2 - 6/5 + 6/5*b**4 - 21/5*b - 6/5*b**3 + 3/5*b**d.
3*(b - 2)*(b + 1)**4/5
Let a(w) = -5*w**2 + 18*w
|
{
"pile_set_name": "DM Mathematics"
}
|
*5/60 + 9*t**4/8 - 37*t**3/6 + 2330*t**2. What is j(-28)?
-9
Let n(p) = -17*p + 9. Let w(k) be the third derivative of -5*k**4/12 + 5*k**3/6 + 12*k**2 + 3*k. Let z(r) = 3*n(r) - 5*w(r). What is z(-7)?
9
Let c(o) = -5*o - 16. Let t(z) = 2*z + 6. Let p = -320 + 323. Let j(q) = p*c(q) + 8*t(q). Give j(3).
3
Let g(s) = s**2 - 1. Let o be g(1). Suppose 0 = -2*i + 10 - o. Suppose 8 = -i*u - 12. Let v(f) = f + 1. Determine v(u).
-3
Let f(o) be the third derivative of o**7/2520 - 79*o**5/60 + 43*o**2. Let w(d) be the third derivative of f(d). Calculate w(2).
4
Let f(l) = -10*l**2 + 2*l + 3. Let w(b) = 26 - 14*b + 17*b - 1. Let j be w(-9). Calculate f(j).
-41
Suppose 132*z - 133*z + 7 = 0. Let t(p) be the second derivative of -p**4/12 + 4*p**3/3 + 9*p**2/2 + 13*p - 5. Calculate t(z).
16
Let g(z) = -3*z**2 - 19*z - 31. Let i(f) = -4*f**2 - 20*f - 45. Let a(u) = 3*g(u) - 2*i(u). Give a(0).
-3
Let q(w) be the second derivative of -1/3*w**3 + 67*w - 11/2*w**2 + 0. Give q(-8).
5
Let n(s) be the first derivative of s**3/6 + s**2 + 138*s + 104. Let h(l) be the first derivative of n(l). Determine h(5).
7
Let n(g) = -g - 2*g**3 - 6 - 8*g + 2*g**3 + g**3 + 50*g**2 - 44*g**2. Calculate n(-7).
8
Let c(w) = -13 - 153*w - 298*w**3 + 174*w - 6 + 297*w**3 + 20*w**2. What is c(21)?
-19
Let j(b) = -b**3 - 56*b**2 - 54*b + 54. Let a = 4801 + -4856. Give j(a).
-1
Suppose -7*a = 2*f - 6*a - 23, f - 19 = -2*a. Let q(w) = -w**2 - f + 72*w + 6 - 9 - 62*w. Give q(9).
-3
Let y(j) be the second derivative of j**6/720 - j**5/30 + j**4/6 - 75*j**2/2 - 15*j. Let c(i) be the third derivative of y(i). What is c(5)?
1
Suppose -s + 5 = 2*d + 2*s, 25 = 3*d + s. Let x = 12 + d. Suppose 0 = -5*c - j - 6 - x, 5*c = -4*j - 37. Let g(w) = -w**2 - 5*w - 1. What is g(c)?
-1
Suppose -42 = 3*j + 63. Let t = j + 40. Suppose -v + 1 = -t. Let z(a) = -5*a + 4. What is z(v)?
-26
Let i(t) = 2*t + 3. Let u be i(2). Suppose 0 = -4*g + u*g - 18. Let p(a) = -8 + 2*a - g - a. Give p(0).
-14
Let z(k) = -k. Suppose -16 = 4*x, -x - 6 + 5 = y. Suppose 16 - 5 = 11*c. Suppose 2*i - 17 = y*g - c, -5*i = -4*g - 19. Determine z(g).
6
Let s = -29 + 35. Let j(r) be the first derivative of r**2 - 11*r - 487. Calculate j(s).
1
Let q(v) be the third derivative of -v**5/20 + 7*v**4/24 - 17*v**3/6 - 2*v**2 - 28*v. Give q(5).
-57
Let m(n) = n**3 - 9*n**2 + 34*n - 135. Let a be m(7). Let c(b) be the third derivative of b**5/30 - b**4/3 + 5*b**3/6 - 4*b**2. Calculate c(a).
15
Let k(u) = -u**2 - 6*u + 5. Let y(h) = -3*h**2 + 48*h - 188. Let b be y(6). What is k(b)?
-11
Let m(n) = 2*n**2 - 17*n + 11. Suppose -2*i + 10 = -4*h, -17*i + 14*i + 5*h = -16. Give m(i).
-10
Let y(h) = -392*h**2 - 388*h**2 + 21*h - 395*h**2 - 394*h**2 + 1576*h**2 + 46 + h**3. Determine y(-5).
-9
Suppose 268*d - 124*d = 133*d. Let t(m) = 2*m**3 + 2*m**2 - m - 10. Calculate t(d).
-10
Suppose 3*i = -2*q + 64, -i + 2*q + 96 = 4*i. Suppose -2*z - 5*g - 24 = 0, -2*z + 0*z - 4*g - i = 0. Let t(c) = 2*c**3 - 3*c - 2. Give t(z).
-12
Let l(f) = f**3 - 30*f**2 + 182*f + 142. Let x be l(21). Suppose 0 = -2*h + 6*h + o - 11, -h = -3*o - 6. Let c(a) = a**2 - h*a + 7*a - 4 + 1. What is c(x)?
2
Let b = 877 + -878. Let j(t) be the second derivative of 19*t**4/12 - t**3/6 - t**2/2 - 206*t. Give j(b).
19
Let h(u) be the first derivative of u**2/2 + 8*u + 1. Let b = 26086 + -26097. Give h(b).
-3
Let z(w) = -25*w**2 + 101*w - 15. Let u(o) = 9*o**2 - 35*o + 4. Let v(j) = -8*u(j) - 3*z(j). Give v(7).
-1
Let c(j) = 2*j**3 + 11*j**2 - j - 11. Suppose 566*w - 45 = 575*w. Let k be c(w). Let y(f) = f**3 - 18*f**2 - 20*f + 24. Give y(k).
5
Let z(r) = 6*r**3 - r**2 - 2*r - 1. Let i(h) be the first derivative of h**3/3 - 17*h**2/2 + 44*h - 33. Let u be i(8). Let q be 2/7 + 36/u. Determine z(q).
-6
Let g(l) = 2*l**3 - l. Let q be g(1). Let m be q/(-4) - (-27)/12. Let i(c) = m - 19 + 7 + c. Calculate i(7).
-3
Let o(q) = 8 + 52 - 8 + 5398*q - 5424*q + 2*q**2. Give o(11).
8
Suppose -3*y = h + 26, 3*h + 179 = 182. Let g(r) = 8*r + 71. Calculate g(y).
-1
Let c = -63 + 68. Suppose 0 = 4*l - 3*a - 17, c*l = -0*l + 2*a + 16. Let u(h) = 2 - 5 + 10*h - 3*h. What is u(l)?
11
Suppose 0 = -19*s + 15*s - 16. Let i(h) = h**2 - 28*h + 31. Let u(v) = 2*v**2 - 58*v + 63. Let q(w) = s*u(w) + 9*i(w). What is q(18)?
-9
Let n(x) be the first derivative of x**4/3 - x**3/3 - 27*x**2 + 58. Let v(d) be the second derivative of n(d). Give v(3).
22
Let d(k) = -1202*k + 10. Let l be d(0). Let s(n) be the third derivative of -n**4/24 - n**3/6 - 2*n**2. Calculate s(l).
-11
Let i(n) = -n**2 - n**3 - 1 + 379*n - 192*n - 188*n - 3. Let b(h) = 2*h**3 + h**2 + 2*h + 7. Let l(c) = -3*b(c) - 5*i(c). Calculate l(2).
-3
Let s(l) = -l**3 - 27*l**2 - 53*l - 23. Let t(y) = 341*y - 3094. Let n be t(9). What is s(n)?
52
Let r(i) be the second derivative of i**5/20 + i**3/3 + 37*i**2/2 + 629*i. Give r(0).
37
Suppose 5*q - 5*g = -35, 3*q - 140*g + 21 = -136*g. Let o(r) = r**3 + 9*r**2 + 10*r - 9. Calculate o(q).
19
Suppose 5*b = -2*q - 10 + 14, b + 16 = q. Let j(p) = p**2 - 7*p - 53. Determine j(q).
7
Let z(m) be the first derivative of -10*m**2 - 13*m - 1347. What is z(-5)?
87
Let g(q) = q**2 - 23*q + 50. Suppose 89*u - 1835 = -30*u + 545. Determine g(u).
-10
Let g(z) = z**2 - z + 6. Let q(i) = 15 + 33*i + 2 - 19*i**2 - 3*i**3 + 8*i + 2*i**3. Let c be q(-21). Suppose -c*b = -34*b. Give g(b).
6
Let m(u) = 2*u + 33. Suppose 2*d + 13 + 0 = -21. Determine m(d).
-1
Let f(w) = 2 + 444597*w**3 - 3*w - w**2 + 5*w - 444598*w**3. Give f(3).
-28
Let b(d) be the first derivative of -4*d**2 - 75*d - 11691. Calculate b(-8).
-11
Let y(s) = s**2 - s - 6. Let r be (-3)/(-24)*2 + -66*(-7)/(-56). Give y(r).
66
Let o(z) = -7*z - 5. Suppose -m = 4*x + x - 29, -16 = -4*m. Let n(v) = -4 + 6 + 15*v + 12 + x*v. Let a(f) = 6*n(f) + 17*o(f). Calculate a(-6).
-7
Let m(t) = -193*t - 2113. Let p be m(-11). Let s(u) = 3*u - 33. Calculate s(p).
-3
Let w(p) = 5 + 4 - p**2 - 5 - 146*p + 73*p + 77*p. Determine w(-3).
-17
Let b(m) = m**3 - 5*m + 1. Let n be (9 - 133/14)/(2/(-8)). Determine b(n).
-1
Let g(c) = c**2 - c. Let b(r) = -3*r**2 + 10*r + 8. Suppose 0 = 3*n - 486 + 483. Let j(x) = n*b(x) + 2*g(x). Let s = 15 + -6. Give j(s).
-1
Let c = 50 - 48. Suppose -j + 10 = c*z, z + 3 = 5. Let u(g) = j*g - 1 + g**3 + 100*g**2 - 107*g**2 + 3. Determine u(6).
2
Let u be 12 - (-7 + (4 - -2)). Suppose -h - 10 = -2*w, h - 10*w = -u*w. Let t(x) = -x**3 - 5*x**2 + 7*x. Calculate t(h).
-6
Let v(x) = x**2 - 7*x + 6. Suppose 0 = 4*q - 10 + 2. Suppose -2*n + 2*r = 16, 4*n - q*r = -6*r - 40. Let a = 15 + n. Give v(a).
0
Let w(l) = 13*l + 239. Let x(f) = -f**2 + 9*f - 39. Let a be x(4). Let c be w(a). Let t(i) = -i**3 - 6*i**2 + 17*i - 2. What is t(c)?
-10
Let l(q) = -4*q**3 + 90*q**2 - 7*q - 308. Let w(m) = -3*m**3 + 60*m**2 - 5*m - 221. Let x(s) = 5*l(s) - 7*w(s). Determine x(-30).
7
Let n(a) be the third derivative of -a**6/60 + 19*a**5/20 + 29*a**4/24 - a**3/6 - 8*a**2 + 2*a - 48. Give n(29).
-1
Let t(d) = 5*d - 3*d + 208 - 273 - 4*d. Calculate t(-36).
7
Let o(q) = 4*q - 1. Let j(y) = 11*y - 2. Let l(r) = 3*j(r) - 8*o(r). Let u(w) = -3*w - 8. Let m be u(-1). What is l(m)?
-3
Let o(m) be the second derivative of m**3/6 - m**2 - 2*m. Suppose -4*n = -4*k - 15 - 13, -2*n + 8 = 0. What is o(k)?
-5
Let v(h) = 1. Let y(t) = t + 4. Let x(s) = -2*v(s) + y(s). Let p = -49 + 33. Let o be ((-5)/(-10))/(4/p). Calculate x(o).
0
Suppose 0 = -2*m + 2*f - 13 + 7, 3*f - 1 = m. Let b(p) = -10*p - 43. Determine b(m).
-3
Let m(s) = 227*s - 920. Let p be m(4). Let x(a) = a**3 + 13*a**2 + 15*a - 5. Determine x(p).
-41
Let y(t) = -106*t - 4 + 29*t - t**2 + 38*t + 31*t. Let a(o) = -11*o**2 + 3*o. Let x be a(1). What is y(x)?
-4
Let m(r) be the second derivative of r**4/12 + r**3/6 + 3*r**2/2 - 2*r. Suppose -83*u + 100 = 349. What is m(u)?
9
Let c(d) = -d**2 - 9*d - 4. Let n(m) = m**2 + 9*m + 5. Let q(h) = 2*c(h) + 3*n(h). Suppose -1157*t + 28 = -2322*t + 1161*t. Calculate q(t).
-7
Let l(d) = -d**3 + 67*d**2 - 258*d + 386. Let w be l(63). Let h(c) = c**3 - 6*c**2 - 25*c - 3. What is h(w)?
-75
Suppose 59*p - 55*p - 371 = -3*b, -488 = -4*b - 4*p. Suppose 21*g - b = -96. Let q(d) = 7*d - 3 + 2 + 13*d. Give q(g).
19
Let i = -42 - -42. Suppose i = -3*y - s - 5, y - 6*y + s + 5 = 0. Suppose -10*d + 40 =
|
{
"pile_set_name": "DM Mathematics"
}
|
en that 3*f**4 + 78*f**3 + 756*f**2 + 3234*f + 5145 = 0.
-7, -5
Find z such that z**5/5 - 2*z**4 + 23*z**3/5 + 2*z**2 - 24*z/5 = 0.
-1, 0, 1, 4, 6
Find u such that -2*u**3 + 876*u**2 + 1758*u + 880 = 0.
-1, 440
Find l, given that l**4/2 + l**3/2 - 29*l**2 - 56*l = 0.
-7, -2, 0, 8
Solve y**5 + 11*y**4 + 38*y**3 + 52*y**2 + 24*y = 0.
-6, -2, -1, 0
Determine y, given that 36*y**5 + 180*y**4 - 1468*y**3 - 1588*y**2 - 360*y = 0.
-9, -2/3, -1/3, 0, 5
Factor 20*o**3 + 205*o**2 + 370*o + 80.
5*(o + 2)*(o + 8)*(4*o + 1)
Solve -3*t**3/5 - 3*t**2 + 3*t/5 + 3 = 0 for t.
-5, -1, 1
Let -4*k**4 - 4*k**3 + 24*k**2 + 16*k - 32 = 0. What is k?
-2, 1, 2
Solve m**5 - 102*m**4 + 2385*m**3 + 11236*m**2 = 0.
-4, 0, 53
Factor 3*r**2 - 51*r - 114.
3*(r - 19)*(r + 2)
Factor 5*i**5 - 35*i**4 - 390*i**3.
5*i**3*(i - 13)*(i + 6)
Factor 5*r**2 - 190*r + 1785.
5*(r - 21)*(r - 17)
Factor p**2 - 2143*p - 2144.
(p - 2144)*(p + 1)
Factor 4*d**4 - 20*d**3 + 32*d**2 - 16*d.
4*d*(d - 2)**2*(d - 1)
Factor 44*a**4 - 828*a**3 - 152*a**2.
4*a**2*(a - 19)*(11*a + 2)
Factor 38*n**3 - 4*n**2 - 38*n + 4.
2*(n - 1)*(n + 1)*(19*n - 2)
Suppose 4*n**5/17 - 10*n**4/17 - 8*n**3 + 70*n**2/17 = 0. What is n?
-5, 0, 1/2, 7
Factor -2*j**3/7 + 130*j**2/7 - 1118*j/7 + 990/7.
-2*(j - 55)*(j - 9)*(j - 1)/7
Factor -f**3/5 - 31*f**2/5 + 28*f.
-f*(f - 4)*(f + 35)/5
Factor -470*l**2/11 - 474*l/11 - 4/11.
-2*(l + 1)*(235*l + 2)/11
Factor 5*o**3 + 120*o**2 - 10240.
5*(o - 8)*(o + 16)**2
What is s in -12*s**4 + 164*s**3 - 104*s**2 = 0?
0, 2/3, 13
Let -b**5 + 6*b**4 + 3*b**3 - 20*b**2 + 12*b = 0. What is b?
-2, 0, 1, 6
Solve -20*p**5 + 12*p**4 + 328*p**3 + 528*p**2 + 160*p = 0.
-2, -2/5, 0, 5
Factor -8*d**3/3 + 10*d**2 + 104*d/3 + 8.
-2*(d - 6)*(d + 2)*(4*d + 1)/3
What is l in 4*l**3/7 - 20*l**2/7 + 16*l/7 = 0?
0, 1, 4
Determine z so that -5*z**2 - 65*z - 150 = 0.
-10, -3
Factor -3*u**3/5 - 27*u**2/5 - 69*u/5 - 9.
-3*(u + 1)*(u + 3)*(u + 5)/5
Solve -6*t**5 - 27*t**4 - 3*t**3 + 39*t**2 + 9*t - 12 = 0 for t.
-4, -1, 1/2, 1
Factor -4*x**2/5 + 12032*x/5 - 9048064/5.
-4*(x - 1504)**2/5
Factor -3*o**3/4 - 237*o**2/4 + 123*o/2 + 120.
-3*(o - 2)*(o + 1)*(o + 80)/4
Factor x**3 + 218*x**2.
x**2*(x + 218)
Factor -3*d**2/2 - 3*d + 9/2.
-3*(d - 1)*(d + 3)/2
Factor -3*z**2/5 - 6*z/5 + 144/5.
-3*(z - 6)*(z + 8)/5
Suppose -2*q**3/11 + 168*q**2/11 - 3528*q/11 = 0. What is q?
0, 42
Suppose 3*j**5/7 - 12*j**4/7 + 30*j**2/7 - 3*j/7 - 18/7 = 0. Calculate j.
-1, 1, 2, 3
Factor -t**2/3 + 76*t/3 - 148/3.
-(t - 74)*(t - 2)/3
What is t in t**2 + 134*t + 1240 = 0?
-124, -10
Find f such that -2*f**2 + 126*f - 124 = 0.
1, 62
Factor -2*x**3 - 42*x**2 - 168*x - 128.
-2*(x + 1)*(x + 4)*(x + 16)
Let 2*u**4 + 4*u**3 - 30*u**2 + 8*u + 40 = 0. What is u?
-5, -1, 2
Find q such that -4*q**2 + 32*q + 192 = 0.
-4, 12
Factor v**2 - 20*v - 384.
(v - 32)*(v + 12)
Determine c so that -5*c**3 + 10*c**2 + 5*c - 10 = 0.
-1, 1, 2
Factor -u**2/4 + 39*u/2 - 77/4.
-(u - 77)*(u - 1)/4
Solve 2*a**5/7 - 2*a**4/7 - 6*a**3/7 + 2*a**2/7 + 4*a/7 = 0 for a.
-1, 0, 1, 2
Suppose y**5/2 - 11*y**4 + 39*y**3 - 56*y**2 + 73*y/2 - 9 = 0. Calculate y.
1, 18
Solve -2*w**3/9 - 82*w**2/9 + 2*w/9 + 82/9 = 0 for w.
-41, -1, 1
Determine u, given that -5*u**4 - 15*u**3 + 90*u**2 + 160*u - 480 = 0.
-4, 2, 3
Determine b so that 6*b**4 + 21*b**3 - 33*b**2 - 66*b + 72 = 0.
-4, -2, 1, 3/2
What is a in -5*a**5 - 90*a**4 - 235*a**3 - 150*a**2 = 0?
-15, -2, -1, 0
Let 3*c**3/7 - 3*c**2/7 - 6*c/7 = 0. Calculate c.
-1, 0, 2
Suppose -6*b**5/7 + 96*b**4/7 - 456*b**3/7 + 492*b**2/7 + 66*b - 84 = 0. What is b?
-1, 1, 2, 7
Factor 2*o**2/5 - 14*o/5 - 3096/5.
2*(o - 43)*(o + 36)/5
Suppose -7*n**3/3 + n**2 + 4*n/3 = 0. What is n?
-4/7, 0, 1
Suppose -2*o**4 - 26*o**3 - 82*o**2 - 94*o - 36 = 0. Calculate o.
-9, -2, -1
Solve 4*x**2 - 2584*x + 417316 = 0 for x.
323
Factor -5*q**2 - 2165*q - 4310.
-5*(q + 2)*(q + 431)
Let 3*p**5 + 24*p**4 + 69*p**3 + 84*p**2 + 36*p = 0. Calculate p.
-3, -2, -1, 0
Factor 4*i**3 - 708*i**2 + 1404*i - 700.
4*(i - 175)*(i - 1)**2
Solve -9*j**3 - 75*j**2 - 88*j - 28 = 0 for j.
-7, -2/3
Factor -4*x**3 - 768*x**2 - 49152*x - 1048576.
-4*(x + 64)**3
Factor 6*j**4 - 2*j**3 - 52*j**2 + 40*j + 48.
2*(j - 2)**2*(j + 3)*(3*j + 2)
Determine p, given that -2*p**3/17 + 68*p**2 + 1158*p/17 = 0.
-1, 0, 579
Determine i, given that 694*i**2/5 + 138*i - 4/5 = 0.
-1, 2/347
Let -2*v**2/7 - 370*v/7 - 732/7 = 0. Calculate v.
-183, -2
Let 9*j**5 + 24*j**4 - 15*j**3 - 90*j**2 - 84*j - 24 = 0. What is j?
-2, -1, -2/3, 2
Solve 2*l**2/23 - 18*l/23 + 36/23 = 0.
3, 6
Factor 2*h**2/15 - 14*h/5 - 44/15.
2*(h - 22)*(h + 1)/15
Let 2*w**3/9 + 178*w**2/9 + 430*w - 450 = 0. Calculate w.
-45, 1
Factor -5*v**3 + 700*v**2 - 27060*v + 174240.
-5*(v - 66)**2*(v - 8)
Suppose 4*d**4/7 - 4*d**2/7 = 0. What is d?
-1, 0, 1
Let 2*l**2/15 - 262*l/15 - 532/15 = 0. What is l?
-2, 133
Factor -2*j**4/3 - 8*j**3 - 44*j**2/3 + 56*j - 98/3.
-2*(j - 1)**2*(j + 7)**2/3
Determine l, given that -5*l**2 + 40*l + 1725 = 0.
-15, 23
Factor 4*i**5 - 56*i**4 + 144*i**3 - 136*i**2 + 44*i.
4*i*(i - 11)*(i - 1)**3
Solve 20*a**4/17 - 6*a**3/17 - 36*a**2/17 + 10*a/17 + 12/17 = 0 for a.
-6/5, -1/2, 1
Solve 10*s**3/19 - 24*s**2/19 = 0.
0, 12/5
Solve -3*z**2 + 459*z - 456 = 0 for z.
1, 152
Suppose n**4/4 - n**3 - n**2 + 4*n = 0. What is n?
-2, 0, 2, 4
What is w in 90*w**5/7 - 831*w**4/7 + 123*w**3/7 + 633*w**2/7 - 51*w + 54/7 = 0?
-1, 1/3, 2/5, 1/2, 9
Factor x**3/4 + 3*x**2/2 - 7*x/4.
x*(x - 1)*(x + 7)/4
Factor p**4 + 14*p**3 + 13*p**2.
p**2*(p + 1)*(p + 13)
Let 4*l**3 + 12*l**2 - 24*l - 32 = 0. Calculate l.
-4, -1, 2
Factor 2*t**2/5 + 37456*t/5 + 175368992/5.
2*(t + 9364)**2/5
Find r, given that -r**3/3 + r**2/3 + 10*r - 24 = 0.
-6, 3, 4
Factor 4*k**2 + 56*k + 52.
4*(k + 1)*(k + 13)
Factor 37*w**5/3 - 445*w**4/6 + 149*w**3 - 302*w**2/3 + 4*w/3.
w*(w - 2)**3*(74*w - 1)/6
Find a such that -2*a**2/19 - 2*a + 240/19 = 0.
-24, 5
Factor 2*n**4/5 + 12*n**3/5 + 24*n**2/5 + 16*n/5.
2*n*(n + 2)**3/5
Factor 3*s**2 + 27*s - 756.
3*(s - 12)*(s + 21)
Factor -2*h**3/9 + 20*h**2/9 + 106*h/9 + 28/3.
-2*(h - 14)*(h + 1)*(h + 3)/9
Factor 3*a**5 + 63*a**4 - 75*a**3 - 183*a**2 + 324*a - 132.
3*(a - 1)**3*(a + 2)*(a + 22)
Factor -5*b**3 + 75*b**2 - 240*b - 320.
-5*(b - 8)**2*(b + 1)
Find b, given that 7*b**5/9 + b**4/9 - 7*b**3/3 + 11*b**2/9 + 2*b/9 = 0.
-2, -1/7, 0, 1
Factor -p**4 + 12*p**3 - 41*p**2 + 42*p.
-p*(p - 7)*(p - 3)*(p - 2)
Find z, given that z**3/3 - 31*z**2/3 + 105*z - 351 = 0.
9, 13
Find g, given that 3*g**4/4 - 315*g**3/4 - 1641*g**2/4 - 1017*g/4 + 1485/2 = 0.
-3, 1, 110
Suppose 2*j**4/5 - 2*j**3/5 - 6*j**2/5 + 2*j/5 + 4/5 = 0. What is j?
-1, 1, 2
Factor -2*w**3/5 + 518*w**2/5 - 4016*w/5.
-2*w*(w - 251)*(w - 8)/5
Find w such that 2*w**2/5 - 4*w - 78/5 = 0.
-3, 13
Find s, given that -2*s**3/15 - 16*s**2/15 + 128*s/15 + 1024/15 = 0.
-8, 8
Suppose -2*z**4 + 18*z**3 - 30*z**2 - 50*z = 0. Calculate z.
-1, 0, 5
Factor -c**4/4 - 4*c**3 - 39*c**2/2 - 28*c - 49/4.
-(c + 1)**2*(c + 7)**2/4
Solve k**4/2 + 17*k**3 - 147*k**2/2 + 94*k - 38 = 0.
-38, 1, 2
What is n in -3*n**3/5 - 342*n**2/5 - 12996*n/5 - 164616/5 = 0?
-38
Find h such that h**5/4 + 115*h**4/4 + 3007*h**3/4 - 17163*h**2/4 + 6210*h - 2700 = 0.
-60, 1, 3
Factor -b**4/3 + 22*b**3/3 - 121*b**2/3.
-b**2*(b - 11)**2/3
Suppose -28*y**5 - 652*y**4 - 3964*y**3 + 5724*y**2 + 83592*y + 23328 = 0. Calculate y.
-9, -2/7, 4
Factor 2*a**4 + 3296*a**3 + 1361244*a**2 + 2712608*a + 1354658.
2*(a + 1)**2*(a + 823)**2
Determine b, given that -4*b**3 + 32088*b**2 - 85803312*b + 76479352096 = 0.
2674
Factor v**4/5 + 12*v**3/5 + 36*v**2/5.
v**2*(v + 6)**2/5
What is g in -764*g**2/3 - 772*g/3 - 8/3 = 0?
-1, -2/191
Determine n so that n**4/2 - 4*n**3 - 57*n**2/2 - 50*n - 26 = 0.
-2, -1, 13
Factor 5*q**3 - 6875*q**2 + 2359840*q + 2366720.
5*(q - 688)**2*(q + 1)
Let i**3/5 - 3*i**2 + 23*i/5 + 39/5 = 0. Calculate i.
-1, 3, 13
Let -2*b**4 + 16*b**3 - 48*b**2 + 64*b - 32 = 0. What is b?
2
Factor -2*f**3/17 + 6*f**2/17 - 8/17.
-2*(f - 2)**2*(f + 1)/17
Let 7*h**5/4 - 715*h**4/2 + 35897*h**3/2 + 31672*h**2 + 32239*h/4 - 10609/2 = 0. Calculate h.
-1, 2/7, 103
Factor -3*u**4/7 + 3*u**3 - 12*u**2/7 - 36*u/7.
-3*u*(u - 6)*(u - 2)*(u + 1)/7
Determine t so that -507*t**4 + 351*t**3 + 144*t**2 + 12*t = 0.
-2/13, 0, 1
Solve 4*p**3 - 516
|
{
"pile_set_name": "DM Mathematics"
}
|
54*v**3/3 + 3300*v**2. What is the derivative of i(j) wrt j?
-3294
Suppose 98*w - 8*w = 0. Let v(j) be the second derivative of -13*j**2 + 0*j**3 + 0*j**4 + 10*j + 1/10*j**5 + w. What is the first derivative of v(g) wrt g?
6*g**2
What is the third derivative of 2*q + 4*q**2 + 2713*q**6 - 2*q**2 - 218*q**6 - 36*q - 28*q**2 wrt q?
299400*q**3
Suppose u + 20 = 2*g, -u + 4 = g - 0. Suppose 12*c - g*c = 20. What is the second derivative of -4*j - 16*j**c + 0*j + 4*j**5 + 0*j wrt j?
-240*j**3
Let s(k) be the third derivative of -263*k**8/168 + k**6/60 + 8*k**5/3 + 2192*k**2. Find the third derivative of s(v) wrt v.
-31560*v**2 + 12
Let q(n) = -2*n**2 - 11*n - 5. Let r be q(-4). Differentiate -6*g**3 + 234 + r*g**2 - 298 - g**2 with respect to g.
-18*g**2 + 12*g
Let r(h) be the first derivative of 1/2*h**2 + 61*h + 46/3*h**3 + 78. Differentiate r(w) with respect to w.
92*w + 1
Let m(v) = 849*v**3 + 299*v - 8. Let c(h) = -848*h**3 - 299*h + 10. Let z(q) = -4*c(q) - 5*m(q). What is the second derivative of z(y) wrt y?
-5118*y
Let i = 346 + -316. Find the second derivative of -21*y + i*y**2 + 19*y - 48*y**2 + 1 wrt y.
-36
Let q(b) be the second derivative of 7*b**6/30 - 79*b**5/10 - 2531*b**2/2 + 4*b. Differentiate q(o) with respect to o.
28*o**3 - 474*o**2
Let o(z) = -1125*z**3 + 1064*z**2 - 2*z + 6. Let w(n) = 1126*n**3 - 1063*n**2 + 3*n - 9. Let p(b) = -3*o(b) - 2*w(b). Find the third derivative of p(l) wrt l.
6738
Let v be (-103)/((-25)/10 + 2). What is the second derivative of v*f - 6*f**2 - 141*f + 3*f**5 + 3*f**2 wrt f?
60*f**3 - 6
Let s = 53 + -38. Suppose -2*t - 8 = -30. What is the derivative of 14 + 7*r - s*r - 2 + t*r wrt r?
3
Let r(h) be the third derivative of -h**7/30 + 44*h**6/15 - h**5/60 + 5*h**4/6 - 2*h**3/3 - 3*h**2 - 95. Find the third derivative of r(g) wrt g.
-168*g + 2112
Let p be 3/15 - 5/((-50)/168). Suppose p = -3*k + 26. Find the second derivative of -3*z**5 + 0*z - k*z - 20*z**5 + 29*z wrt z.
-460*z**3
Let y(v) be the first derivative of v**6/6 - v**5 + 223*v**4/2 - 346*v**3/3 - 3*v**2/2 - 6622. What is the third derivative of y(l) wrt l?
60*l**2 - 120*l + 2676
Let p(h) = -173*h + 1739. Let k be p(10). Let a(z) be the first derivative of -k + 0*z - 17/3*z**3 + 7*z**2. What is the second derivative of a(b) wrt b?
-34
Let d(x) be the third derivative of -11*x**7/35 + x**6/60 - x**5/30 + 1201*x**4/24 - 19*x**2 - 177*x. Find the third derivative of d(p) wrt p.
-1584*p + 12
Let z = -547 - -1627. Let d = z + 647. Differentiate -17*l**3 - 10 - 1727*l + d*l wrt l.
-51*l**2
What is the second derivative of 2209*r - 37444*r**3 - 138*r + 74913*r**3 + 7*r**2 - 37997*r**3 wrt r?
-3168*r + 14
Suppose -13 = -5*u + 22. Let n be 5*(0 + (-8)/(-140))*u. Find the first derivative of 49*p**n + 11 + 9 - 36*p**2 wrt p.
26*p
Suppose -12 = 18*x + 8*x - 90. Let r(v) be the second derivative of -16*v - x*v**2 + 5/3*v**3 + 0. Differentiate r(a) wrt a.
10
Let h(p) = p**3 - 6*p**2 + 2*p. Let f be h(6). Suppose 15 - f = t. Find the third derivative of -9*k**2 + 26*k**t + 285*k - 16*k**2 - 285*k wrt k.
156
Let l(u) be the third derivative of 0*u**3 + 0 + 7/6*u**5 - 24*u**2 - 23/24*u**4 + 0*u. What is the second derivative of l(x) wrt x?
140
Suppose 3083 + 49 = 9*q. What is the second derivative of 174*p**2 + 174*p**2 - 214*p**3 + 2*p - 40 - q*p**2 wrt p?
-1284*p
Let j(z) be the second derivative of -4763*z**6/30 - 181*z**3/2 + z**2/2 - 3875*z. Find the second derivative of j(f) wrt f.
-57156*f**2
Find the third derivative of -1936*i**5 - 1004*i**2 + 334*i**2 + 796*i**2 + 256*i**2 + 1846*i**2 wrt i.
-116160*i**2
Let g(b) be the second derivative of -1/12*b**4 + 0 - 7/20*b**5 - 5*b**2 + 21*b - 2/3*b**3. Find the second derivative of g(f) wrt f.
-42*f - 2
Let v(j) = 2*j**3 - 23*j**2 + 14*j - 30. Let b be v(11). What is the third derivative of -10*k**3 - 5*k + 119*k**b + 15*k + 2*k**2 wrt k?
654
Let a = -31 + 93. Let k be a/(-16)*-2 - (-3)/(-4). What is the second derivative of 7*o + 13*o**2 + 7*o**2 + k*o wrt o?
40
Let r = -33 + -4. Let q = r + 39. Differentiate 11*f**q - 30 - 11*f**2 - 32*f**3 with respect to f.
-96*f**2
Suppose 0 = 7*d - 16 - 5. Let c be ((-3)/d - -1) + 3. What is the first derivative of 4*o**3 - 35 + 6 - 2 + 34*o**c wrt o?
114*o**2
Suppose -12*u + 8*u - 552 = -4*a, 3*u - 730 = -5*a. Find the first derivative of -143*m**2 - 30*m**4 - 117 + a*m**2 wrt m.
-120*m**3
Let o(c) = 38*c**3 + 36*c**2. Let q(f) = 32*f**2 + 39*f**3 + 0*f**3 + 0*f**2 + 3*f**2. Let h(x) = 3*o(x) - 2*q(x). Find the third derivative of h(a) wrt a.
216
Let s(w) be the first derivative of -922*w**7/7 + 2*w**3/3 + 86*w**2 + 425. Find the third derivative of s(a) wrt a.
-110640*a**3
Let z = 18 - 18. Let r be 9 + -3 - z - (1 - -3). Find the third derivative of 12 - 22*u**6 - 3*u**r - 32 + 20 wrt u.
-2640*u**3
Find the first derivative of 52*o**2 + 372*o**2 + 112 + 468*o**2 - 1196 wrt o.
1784*o
Let b(v) be the first derivative of -433*v**4/4 - 918*v - 1197. What is the first derivative of b(f) wrt f?
-1299*f**2
What is the third derivative of -3*g**3 + 985*g**2 + 2104*g**4 + 35*g**3 + 27*g**3 - 59*g**3 wrt g?
50496*g
Let b = -46 + 65. Let u = -17 + b. What is the second derivative of 15*a - 21*a**2 + 38*a**2 - 17*a**u - 22*a**5 wrt a?
-440*a**3
Let v(m) = m**3 + 9*m**2 - 14*m + 43. Let j be v(-8). What is the first derivative of -36*k**3 - 112*k**3 + j*k**3 + 17 wrt k?
213*k**2
Let z = -101 + 103. Suppose z*j - 16 + 12 = 0. Find the first derivative of -435*d**2 + 35*d**3 + 435*d**j - 9 wrt d.
105*d**2
Let d(s) be the third derivative of 339*s**8/112 + 53*s**4/3 + s**3/3 + 920*s**2. Find the second derivative of d(p) wrt p.
20340*p**3
Let c(l) be the second derivative of 80*l**6/3 - 5*l**4/4 - 4*l**3 + 39*l + 2. Find the third derivative of c(z) wrt z.
19200*z
Let c(r) = 4233*r**3 - 180*r**2 - 3*r + 11. Let m(k) = k**3 + k**2 - 3. Let g(o) = c(o) + 3*m(o). Find the third derivative of g(j) wrt j.
25416
Let w(r) be the second derivative of -4625*r**4/12 - 11*r**3/6 - 132*r**2 + 143*r + 9. Find the second derivative of w(x) wrt x.
-9250
Let l(h) be the first derivative of 257*h**5/5 - 3*h**4/2 - 2*h**3/3 - 8433*h**2/2 - 1183. Find the second derivative of l(i) wrt i.
3084*i**2 - 36*i - 4
Let q(u) be the first derivative of 158*u**7 - 22*u**3/3 + 9*u - 685. Find the third derivative of q(o) wrt o.
132720*o**3
Suppose 2812*y - 36 = 2803*y. Find the third derivative of 14*o**2 + 38*o**2 + 0 + 45*o**2 + 0 + 28*o**y wrt o.
672*o
Let m(g) be the first derivative of g**5/5 - 143*g**3 + 3289*g + 2126. What is the derivative of m(p) wrt p?
4*p**3 - 858*p
Let q = -401 + 408. Let p be (-18)/((-1)/((-1)/(-2))). Differentiate -4*j**4 - 4 - q + 4 + p*j**4 wrt j.
20*j**3
Find the third derivative of -26*z**6 + 18312*z**5 + 3*z**4 - 327*z**2 - 18312*z**5 + 2169*z**2 + 6*z**6 wrt z.
-2400*z**3 + 72*z
Find the third derivative of -1004*k**3 + 2842*k**3 - 3*k**5 - 9*k + k**5 - 911*k**2 + 11*k wrt k.
-120*k**2 + 11028
Differentiate 97*b + 100*b + 432 - 32*b + 2*b**2 + 1 wrt b.
4*b + 165
Let s(l) = 4*l**2 - l + 1. Let k be s(1). Let c = -294 - -298. What is the third derivative of 0*g**2 - 8*g**2 - 10*g**k - 3*g**2 - 19*g**c wrt g?
-696*g
Find the second derivative of -252*u**2 + 262*u**2 - 108*u**3 + 2 - 350*u - 3 + 1693*u wrt u.
-648*u + 20
Let k be (-587)/(-14) - (-39)/546. Find the second derivative of -241*q**2 - 313*q - 20*q**2 - k*q**2 wrt q.
-606
Let o = -41 - -44. Suppose 0 = -3*j - 5*t + 1, 4*j + 2*t = -o + 9. What is the third derivative of 8*w**2 + w**j + 8*w**6 + 13*w**2 wrt w?
960*w**3
Suppose 9*f + 21 = 1101. What is the first derivative of 54 + 90 - 47*o + f*o**3 + 46*o wrt o?
360*o**2 - 1
What is the first derivative of 7654 - 3157 + 83866192*m - 83863498*m wrt m?
2694
Suppose 0 = -2*f - f. Let y be 1 + f + 41 + -4. Find the third derivative of y + 20*w**5 - 15*w**2 - 38 + 5*w**2 wrt w.
1200*w**2
Differentiate -579 - 4145*u + 91 - 569 + 11*u**3 + 4189*u with respect to u.
33*u**2 + 44
Suppose 0 = 13*v - 1840 - 4946. What is the third derivative of 524 - 1046 + 54*a**2 + v - 120*a**5 wrt a?
-7200*a**2
Let a be (-45)/60 - (-1)/((-8)/(-70)). Let y be -28*(3 + -5)/a. What is the second derivative of -172*r**2 + 172*r**2 - 4*r + y*r**4 wrt r?
84*r**2
Let a(w) be the second derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
**3) to i*d**2 + c*d**3 + l + n*d and give c.
834
Rearrange -12776*u + 12776*u - 1506 - 2*u**3 - 1196 to the form d + w*u**2 + p*u**3 + o*u and give w.
0
Express -7 - 2*d + 339*d**4 - 76*d**4 + 14*d**2 - 270*d**4 in the form z*d**4 + s*d**3 + t*d + a*d**2 + u and give u.
-7
Rearrange -109 - 32*j - 4*j + 18 - 3 to the form i + m*j and give i.
-94
Express 36 + 23 - 3*z**2 - 89 + 29 - 3*z + 4*z**3 in the form r*z + q*z**2 + b + p*z**3 and give r.
-3
Express 38*u**2 + 8*u**2 - 12*u**2 + (-3*u + 2*u + 0*u)*(-22 + 22 - 7*u)*(-2 + 3 - 2) in the form y*u + j + t*u**2 and give t.
27
Rearrange (0*x**2 - x**2 + 0*x**2)*(838 + 1237 - 447)*(15 - 15 - 6*x) to v*x + c + r*x**2 + t*x**3 and give t.
9768
Express 2*r**2 - 5*r**2 + 4763*r**3 - 71 - 4762*r**3 - 4*r**2 in the form m*r**2 + j*r**3 + t*r + s and give j.
1
Rearrange (0*i**2 + 4*i**2 + 0*i**2)*(9565 - 7294 - 2*i + 17109) to the form n*i + d + l*i**3 + r*i**2 and give l.
-8
Rearrange -2974 - 5867*q + 3587 - 5868*q + 11733*q + 3366 to the form v*q + b and give v.
-2
Express -2856*x - 1020*x - 3528*x as t + s*x and give t.
0
Rearrange 11*y**3 - 2*y**3 - 63 + 2*y - 11*y**2 - 10*y**3 + 13*y**2 - y**3 to r*y**2 + a*y + w*y**3 + m and give m.
-63
Express -54*c**3 - 23*c**3 + 26*c**3 + (2*c + 6*c - 4*c)*(0*c**2 + 5*c**2 - 2*c**2) in the form q + w*c + i*c**3 + j*c**2 and give i.
-39
Rearrange (2 + 23*p - 6*p - 3)*(-77*p - 54 + 54 + 2*p - 3*p - p + (-3 + 5 - 3)*(-3*p + p + 0*p) + 2*p - 3*p + 0*p) to the form b*p**2 + q + x*p and give q.
0
Rearrange -13*g + 6*g**4 + 0 - 36*g + 5*g**3 + 8*g**4 - 3 - 13*g**4 to the form l*g**2 + p*g**3 + x*g**4 + i + d*g and give p.
5
Express -1392*l**2 + 3*l**3 + 1390*l**2 + 3*l**3 - 8*l**3 - 717*l**4 + 2 in the form t*l + h*l**2 + f*l**4 + m*l**3 + y and give y.
2
Rearrange 2 + 15 - 4*f - 19 + 19*f**2 - 11*f - 71*f to q + b*f + a*f**2 and give b.
-86
Express 2839404*c**2 - 2839404*c**2 - 87*c**3 - 8*c as t*c**3 + r + n*c**2 + w*c and give n.
0
Express -12*z**3 - 4*z**3 + 14*z**3 - 3*z**2 + 5*z + 15 - 8 - z as f + w*z + l*z**2 + v*z**3 and give f.
7
Express 1173 + 3950 - 117 + 2980 - 1228 - x in the form h + t*x and give t.
-1
Rearrange 3879*c - 1430*c + 3890*c + 208*c + 851*c to the form y + z*c and give y.
0
Express (-1 - 3 + 3)*(-2 - 141 - 386)*(-3*b + 2*b - b) - 3*b + 3*b - 2*b + 2*b + 3*b - 3*b in the form v*b + l and give v.
-1058
Rearrange -d**3 + 21226*d**4 - 21230*d**4 - 24*d + 2*d**2 - 55*d + 0*d**3 to the form p + g*d**4 + n*d**2 + k*d + q*d**3 and give g.
-4
Rearrange (235*k - 457*k + 42 + 223*k)*(1 - 6 + 2)*(7 - 5 + 5) to the form o*k + s and give s.
-882
Express 5*t**2 + 0*t**2 - 201353*t + 201536*t + (0*t + 0*t + t)*(t + 5*t - 5*t) in the form n*t + o*t**2 + l and give n.
183
Rearrange (4 + 0 - 3)*(-7*i + 7 + 12*i - 10*i) + 251*i + 260*i + 324*i - 160*i to u + w*i and give u.
7
Rearrange (-4*r + 6*r - 3*r)*(-9781 + 31165 + 43767) to the form u*r + l and give u.
-65151
Express 593*j**4 - 1208*j**4 - 8*j**3 + 599*j**4 + 1 as k + u*j**4 + c*j + z*j**2 + q*j**3 and give k.
1
Rearrange 1796 - 112*i + 354*i + i**4 - 1801 to j*i + p + x*i**3 + o*i**2 + r*i**4 and give p.
-5
Express -24 + 7211*k + 24 - 4697*k + 10159*k as l*k + x and give x.
0
Express -16*t**3 - 3*t**2 + 8*t + 42*t - 14*t - t**3 + 2 + t**4 + 13*t**3 as z + l*t**2 + y*t**4 + n*t**3 + s*t and give s.
36
Express -500*w**2 + 2*w**3 - w - 1408*w**2 - 98*w**2 as a*w**2 + r + t*w + p*w**3 and give p.
2
Express -172*s + 3*s**4 + 233*s - 46*s**3 - 50*s as r*s + t*s**3 + j + o*s**4 + a*s**2 and give t.
-46
Rearrange (-6*z**2 + 4 - 4)*(-1235 - 908 + 3887 - 1410 - 946) to c + q*z**2 + o*z and give o.
0
Express (23*u + 19*u - 104*u)*(-295 + 141 + 149) in the form t + q*u and give q.
310
Rearrange (4 - 2 + 4 - q)*(q + 283 + 336 - 415) to c*q**2 + j*q + t and give c.
-1
Express (-k + 4*k - 4*k)*(-165*k**2 + 477*k - 477*k)*(-13*k - 36 + 36) in the form s + m*k**3 + i*k**4 + y*k**2 + j*k and give i.
-2145
Rearrange -69*u - 475*u - 150*u - 322*u to the form a + x*u and give x.
-1016
Rearrange 8*k + 24 + 20 - 50*k + 12*k to x + s*k and give x.
44
Rearrange -737 - 2*v + 5623 + 1076 to n*v + u and give u.
5962
Express (-2*y + 2*y - 3*y + 0*y - 4*y + 3*y + (0*y + 3*y - y)*(-4 + 1 + 1) + 4*y - 2*y + 0*y - 3 + 3 + y)*(-25 + 315 + 259) in the form r*y + n and give r.
-2745
Express -13 - 10*k**2 - 9 + 6*k + 14 + 0*k**2 in the form a*k**2 + n + m*k and give m.
6
Express 939*z**3 + 2*z**2 - 1487665*z**4 + 0*z**2 + 860*z**3 + 1487663*z**4 in the form t*z + y*z**3 + s*z**4 + o + k*z**2 and give s.
-2
Express -20*k**2 + 64*k**2 - 14*k**2 - 429 - 29*k**2 in the form x*k**2 + g*k + z and give x.
1
Express (-267*x + 189*x + 2132*x)*(5 - 4*x + 3*x + 0*x) as y + m*x**2 + v*x and give v.
10270
Rearrange y**3 + 607*y - 7 - 613*y - 2*y**3 to the form h*y**2 + m*y + g + z*y**3 and give m.
-6
Express 3*m**4 - 60*m**3 - 89*m**3 - m**4 + 204*m**3 + 74*m as q*m + l + u*m**4 + w*m**3 + d*m**2 and give q.
74
Express (4 - 9 + 4 + 4*h)*(9*h**2 - 127*h**2 + 15*h**2) - 3*h**2 - 5*h**3 + 3*h**2 in the form c*h + g*h**3 + s + i*h**2 and give g.
-417
Express (3*w - 2*w**2 - 3*w)*((1 + 3 - 2)*(-5*w - w + 4*w) - 138*w + 80*w - 106*w) - 5*w - w**3 + 5*w as d*w**3 + g*w**2 + r + n*w and give d.
335
Rearrange (-3*a**2 + 5*a**2 - 3*a**2)*(-2*a - 3*a + 4*a) + 15*a - 953 - 164*a**3 + 476 + 477 to the form b*a + j*a**3 + o + p*a**2 and give b.
15
Express 5 + 98*x**2 - 2*x + 11 - 5 - 9*x**2 - 2*x**2 in the form f*x + m + g*x**2 and give m.
11
Express 6 + 10*z**3 - 3*z + 8 - 33*z**3 - 13*z**3 in the form w*z + j*z**2 + a + x*z**3 and give w.
-3
Rearrange (4 + 2 - 5)*(-74*j - 42*j + 5*j)*((5 + 2 - 8)*(0*j - 2*j + j) + j - j + j + 2*j - 4*j - j) to k + a*j**2 + v*j and give a.
111
Express 4133*y - 770*y - 108*y + 1 as a*y + o and give a.
3255
Express -13 - w + 86 - 194 in the form m*w + o and give m.
-1
Rearrange -304*d + 411*d + 26*d**4 - 287*d + (1 + 1 - 1)*(d**4 - 4*d**4 + d**4) to the form x*d + w*d**2 + a + m*d**3 + q*d**4 and give m.
0
Express (-3985 + 3985 + 77*v**2)*(31*v - 15*v - 9*v + 177 - 4*v) in the form f*v**3 + k + i*v + d*v**2 and give d.
13629
Express -5*a**3 - 20*a**3 - 8*a**3 + 2*a + 3*a**2 + 14*a**3 + 2 - 9*a**3 as p*a**2 + k*a**3 + n*a + t and give n.
2
Rearrange 920*a - 1906*a + 4*a - 1727*a - 577*a to the form v*a + x and give v.
-3286
Express 1506*h**3 - 1615 + 1475*h**3 - 2980*h**3 as s*h**2 + n*h + d*h**3 + a and give d.
1
Rearrange 913 + 15891*q**2 + 22 - 7937*q**2 - 7953*q**2 + 415 to the form h*q + d*q**2 + a and give a.
1350
Rearrange 15 - 28*t**4 - 3 - 16 - 14*t + 2 to the form d*t**4 + o*t**2 + u*t + y + m*t**3 and give y.
-2
Rearrange -2*x**3 + 0*x**3 + x**3 + (51*x + 133*x - 56*x)*(-x**2 + 4*x - 4*x) + 3 - x**3 - 3 - x**2 to p + c*x + o*x**3 + r*x**2 and give o.
-130
Express 672*o - 896*o - 188*o - 1 as u*o + f and give f.
-1
Rearrange 3*k - 1 + 1 + (44 + 4 + 94)*(0*k + 2*k - k) + 2*k + 0 + 0 + k + 2 - 2 + (-1 + 5 - 3)*(6*k - 4*k - k) to the form y + w*k and give w.
149
Express r + 1 - 17*r**3 + 2 + 3*r**2 - 8 - 5 + 7 in the form x*r**3 + q + v*r + s*r**2 and give x.
-17
Rearrange (-2*l**3 - 5*l**3 + 11*l**3)*(-1929 - 5078 - 207 + 327 + 708) to a*l + m*l**3 + w + i*l**2 and give m.
-24716
Express 32*z**2 + 8*z**3 - 5249 + 5251 - 6*z**3 as j*z**3 + g*z**2 + o*z + r and give g.
32
Rearrange 92*l**3 + 4*l**2 - 221*l**3 + 108*l**3 - 2 + 22*l**4 to o*l**4 + w + r*l**2 + k*l**3 + u*l and give w.
-2
Express (-526567 + 526567 - 69*n + 11*n)*(-7*n - 8*n + 11*n) in the form y + h*n + v*n**2 and give v.
232
Rearrange (-33 + 62 - 23)*(40*c**2 + 59*c**2 - 36*c**2) + 3*c**2 - 3 - c**2 + 4 to p*c**2 + w*c + g and give p.
380
Rearrange (f**2 + 3*f**2 - 6*f**2)*(-2484*f - 97*f**2 + 1246*f + 1240*f) to the form r*f**3 + x*f + a*f**4 + u*f**2 + v and give a.
194
Rearrange (2 + 0 - 5)*(45 - 19 - 11395*a + 3932*a - 26) to k + h*a and give k.
0
Express (-1293 + 1176 + 623)*(6*f**3 - 5*f**3 - 3*f**3) + f**3 - 1 + 1 as c + b*f + n*f**3 + t*f**2 and give c.
0
Rearrange -5*i**3 + 3*i**3 + 3*i**3 + (-1 + 0 - 2)*(-31266*i + 31266*i + 398*i**3) to b*i**2 + x + s*i + g*i**3 and give g.
-1193
Express -447 - 8*r**3 - 16*r**3 - r + 0*r + 4*r**2 + 29*r**3 - 3*r**2 in the form b*r**3 + t + j*r**2 + y*r and give j.
1
Express (-635*q + 947*q + 457*q)*(-5*q - q + 2*q)
|
{
"pile_set_name": "DM Mathematics"
}
|
plify 2 + -4 + (5 + sqrt(320) - (sqrt(5) + 2*sqrt(40)/sqrt(8)) - (-2 + 2 + 1 + sqrt(5) + ((sqrt(220)/sqrt(4))/sqrt(11))**2)).
-3 + 4*sqrt(5)
Simplify (5*(2*sqrt(76)*1 + 5*sqrt(76)*2))/(((sqrt(264)*-2)/sqrt(6))/(sqrt(176)*-5)).
600*sqrt(19)
Simplify -1 + (0 + -1 + sqrt(147))**2 + -1 + -5 + -6*(sqrt(147)*-1)**2 + 3.
-738 - 14*sqrt(3)
Simplify 2 + (((sqrt(1300) - (-2 + 1*sqrt(1300))) + sqrt(1300))**2 - sqrt(1300)) + 3 + ((sqrt(1300)*-1*-4 + sqrt(1300) + -5)*4)**2.
-7970*sqrt(13) + 521709
Simplify (1*(-2 + sqrt(176)*-5) - (-3*sqrt(66)*-1)/(sqrt(864) - sqrt(54)))**2.
244*sqrt(11)/3 + 40967/9
Simplify -3 + 4*(5*(sqrt(1862)*1 - sqrt(1862)))/(3*2*sqrt(288)).
-3
Simplify ((sqrt(1539) + sqrt(1539) + 1 + 3 + 1)*-3)**2 - ((-2*sqrt(1539) + -1 + 2 + (sqrt(1539) + 0 - sqrt(1539)))*3)**2.
216 + 1944*sqrt(19)
Simplify (sqrt(52) + sqrt(208))**2*-6*-4 + -3 - -4*(sqrt(104)/sqrt(128) - sqrt(13) - ((sqrt(156)*3)/sqrt(12))**2).
-3*sqrt(13) + 10761
Simplify (-4 + (sqrt(1539) - (-1 + sqrt(1539))) - ((sqrt(1539) + 1 - sqrt(1539))*-5)**2 - (4*(sqrt(1539)*-2 - sqrt(1539)) - -2*(0 + sqrt(1539)))*-6) + -2.
-540*sqrt(19) - 30
Simplify (1*(-2*sqrt(320)*-2 + 4) + (sqrt(320) + -2 + -3 - (sqrt(320) + -1 + sqrt(320) + -3)))**2.
144*sqrt(5) + 2889
Simplify (2*-1*sqrt(70)*-2*4)/(4*(sqrt(40)/sqrt(2))/sqrt(2)*3).
4*sqrt(7)/3
Simplify (-5 + (sqrt(10)/sqrt(45))**2)*5 - (-3*(sqrt(2) - sqrt(6)/sqrt(75) - sqrt(2)))**2*6.
-6347/225
Simplify -2 + (-2*(sqrt(832) + 3) + sqrt(832) + 0)**2 + (-2*-1*(sqrt(832) - (sqrt(832) - -1*(sqrt(832) - (sqrt(832) + 3)))))**2.
96*sqrt(13) + 902
Simplify (sqrt(18)/(-2*sqrt(9)) + sqrt(2) - ((sqrt(242) + -1*sqrt(242))**2 + sqrt(242))) + 5 + (sqrt(8)/sqrt(4) + -2 - (sqrt(32) + 0)).
-27*sqrt(2)/2 + 3
Simplify (sqrt(99)*1*-6*2*-4 + 3 + 4)*3.
21 + 432*sqrt(11)
Simplify (sqrt(8)*-4 - (sqrt(2) - (sqrt(200) + 2*sqrt(200))) - (-4*sqrt(14)/sqrt(7) + -3)*-3)**2.
-162*sqrt(2) + 243
Simplify (4*(2*4*sqrt(153))/(-6*sqrt(90)/sqrt(10)) + 2)**2.
-64*sqrt(17)/3 + 4388/9
Simplify (-1*(((sqrt(143)*-2 - sqrt(143)) + sqrt(143))*2 - sqrt(143)*-1*5))/(4*(sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*3)))*3).
sqrt(13)/72
Simplify ((3*(1 + sqrt(171)) - sqrt(171) - (sqrt(171) + -1)*6) + -4 - 3*4*(sqrt(171) + 1 - sqrt(171))*5)**2.
1320*sqrt(19) + 5761
Simplify ((0 + sqrt(245) + (1 + sqrt(245))*1 - ((sqrt(245) + 1)*-5 + sqrt(245))*-2)*-1*-5)**2.
18900*sqrt(5) + 222525
Simplify (sqrt(75) + -3 + 0 + -3 + (sqrt(75) + (sqrt(75) - (2 + sqrt(75))))*-5 + (2*sqrt(75) + -5 - sqrt(75)))**2.
30*sqrt(3) + 676
Simplify -5*4*(sqrt(1584)*-1 + sqrt(1584) + sqrt(11))**2 + 1*(3 + sqrt(33)/sqrt(3) + -2).
-219 + sqrt(11)
Simplify 4*(3 + (sqrt(99) - sqrt(99)*-1)*2) + -3*1*sqrt(99)*-2 + -2 + 2.
12 + 66*sqrt(11)
Simplify (3 + (sqrt(208)/(sqrt(324) + (sqrt(324) - -2*sqrt(324)) + sqrt(324) - sqrt(324)))/((-1*sqrt(112))/sqrt(7)))*-6.
-18 + sqrt(13)/12
Simplify ((5*(sqrt(72) - (sqrt(72) - (sqrt(72)*2 + sqrt(72)))))/((2*sqrt(6) + sqrt(6))*-1))/(1*sqrt(6)*-1 + sqrt(30)/(-2*sqrt(5))).
10*sqrt(2)/3
Simplify ((sqrt(130) - -4*sqrt(130))/sqrt(10) - (-3 + 0 + sqrt(13)))**2*-6 - (2*(sqrt(117) - (sqrt(117)*2 - sqrt(117))) + sqrt(117))/(sqrt(324)*3).
-1302 - 2593*sqrt(13)/18
Simplify -3*(6*sqrt(336)*2)/(sqrt(448)*-2)*2*-4.
-72*sqrt(3)
Simplify (4*sqrt(121)*-2 + sqrt(121) + (3*sqrt(121)*-1 - sqrt(121)))/(1*(sqrt(880)*6)/sqrt(5)).
-11*sqrt(11)/24
Simplify (0 + ((sqrt(720)*1)/sqrt(10)*-5 - (-1*-1*sqrt(2) - (-4 + (sqrt(2) - (2 + sqrt(2)))))))**2 + -4.
372*sqrt(2) + 1954
Simplify ((sqrt(275)*2 + sqrt(11) + -3)*6 - (-1 + (sqrt(11)*2 + sqrt(11))*5 + 0))**2.
-1734*sqrt(11) + 28900
Simplify -3 + ((2*sqrt(416) + sqrt(416))*4)/(2*(sqrt(162) - (1*sqrt(162) + sqrt(162)))).
-8*sqrt(13)/3 - 3
Simplify ((2*sqrt(252)*3 + sqrt(252) - sqrt(252) - sqrt(252))/(-2*sqrt(175)))/(-6*(sqrt(1200) - sqrt(1200)*-1 - sqrt(1200))*-6).
-sqrt(3)/720
Simplify (-3 + sqrt(8)*3*3 + 5 + (sqrt(98) + -4)*5 + sqrt(98))**2.
-2160*sqrt(2) + 7524
Simplify sqrt(26)/(-4*sqrt(72))*-6 - ((sqrt(637))**2*2 + (sqrt(13) - 6*(2 + sqrt(13)))**2).
-1743 - 479*sqrt(13)/4
Simplify 3*(sqrt(1210) - (sqrt(1210) + sqrt(1210) + sqrt(1210) + sqrt(1210) + (1*sqrt(1210) - sqrt(1210)))*-6)/((sqrt(12)*-4*-5)/sqrt(6)).
165*sqrt(5)/4
Simplify ((sqrt(21)/(sqrt(9)/sqrt(3)) + (sqrt(224)/sqrt(4))/sqrt(8) - (sqrt(700) - (-1 + (sqrt(700) - 2*sqrt(700))))) + (0 + 2*sqrt(14)/(sqrt(2)*-2))*2)**2.
40*sqrt(7) + 2801
Simplify ((((sqrt(3600) + (sqrt(3600)*-1 - sqrt(3600)) + sqrt(3600))/sqrt(12) - sqrt(30)/(-2*sqrt(490) - sqrt(490))) + -1)**2 + -5)*6*-6.
24*sqrt(3)/7 + 7044/49
Simplify -1*(5*(sqrt(147) - (sqrt(147)*1)**2) + sqrt(147) + sqrt(147)) + (sqrt(21) - sqrt(84)/sqrt(4))/sqrt(7) + sqrt(3) + sqrt(9)/(sqrt(15)/sqrt(5)).
-47*sqrt(3) + 735
Simplify -3*(sqrt(6)/(sqrt(2) + (sqrt(2) - sqrt(32)))*3 + 3 - (sqrt(4356)*-2)/(1*sqrt(432) - sqrt(432) - sqrt(432)))**2.
-1069/4 + 93*sqrt(3)
Simplify (-6*(sqrt(225) - (sqrt(225) - -1*sqrt(225)*1)))/((3*sqrt(200)/sqrt(4))/sqrt(10)) + 3.
3 + 6*sqrt(5)
Simplify 6*(sqrt(153)*2)**2*2 + -4 + ((sqrt(119)*2 - sqrt(119))*-1)/(-2*sqrt(1008) - sqrt(1008)).
sqrt(17)/36 + 7340
Simplify 4 + -5 + sqrt(288) + -2 + 1*sqrt(22)/sqrt(11) + 4 + 2.
3 + 13*sqrt(2)
Simplify -4 + 1*(sqrt(144) + sqrt(144)*-2*4)/(sqrt(3) + (sqrt(3) - sqrt(27)/(sqrt(9) - -1*sqrt(9) - sqrt(9)))) + 5.
-28*sqrt(3) + 1
Simplify (-2*(2 + (sqrt(1008) - -4*(-1 + sqrt(1008))) - (-4 + sqrt(1008)*-1 - -4*sqrt(1008)*1)) + -1)**2.
480*sqrt(7) + 16153
Simplify 2 + (sqrt(1100) - (sqrt(1100) - (3 + sqrt(1100)*-1) - sqrt(1100))**2) + (sqrt(1100)*5*3)**2 + 5 + -1.
70*sqrt(11) + 246397
Simplify ((sqrt(14) - (3*sqrt(70))/sqrt(5))/sqrt(2))**2*1 + -2*sqrt(343)*-6*5.
28 + 420*sqrt(7)
Simplify (((sqrt(130) - -3*-1*sqrt(130)) + (sqrt(130) + sqrt(130) + (sqrt(130) - sqrt(130)*-1))*4)/((sqrt(70)*1*-6)/sqrt(7)))**2*-6*-5.
6370/3
Simplify -1 + ((-1*(sqrt(11) + 1) + sqrt(1331)*2)*-5)**2 + (-4 + sqrt(1100)*1 + -3 + (4 + sqrt(1100)*-2 + sqrt(1100) - sqrt(1100)))**2.
-990*sqrt(11) + 122408
Simplify (sqrt(140) + sqrt(140) + (sqrt(140) - sqrt(140)*-1) - ((sqrt(385)*3)/sqrt(11) - sqrt(35) - sqrt(35)))/(sqrt(28)/(sqrt(4) - 5*sqrt(64))).
-133*sqrt(5)
Simplify (-5*(sqrt(81)/sqrt(3) - sqrt(27)) - sqrt(135)/sqrt(5)*5)/((sqrt(81)*5 - (sqrt(9) - 6*sqrt(9)*2))*4).
-5*sqrt(3)/104
Simplify 2 + sqrt(2) + -3 + sqrt(2) + 2 + sqrt(288) + 5 + 1*(-1 + sqrt(2)) + -5.
15*sqrt(2)
Simplify (sqrt(20) + sqrt(20) + (sqrt(20) - -2*sqrt(2880)))/((sqrt(200)/sqrt(5) + sqrt(40))/sqrt(10)) - ((2*sqrt(180) + -1 + 1)**2 + -1).
-719 + 27*sqrt(5)/2
Simplify -5*((4*sqrt(76)/sqrt(2))/sqrt(2)*5 + (-4*sqrt(95)*-2 + sqrt(95))/(sqrt(30)/(sqrt(6)*1)))**2.
-79895
Simplify ((sqrt(2) - (sqrt(2) + 4*sqrt(20)/sqrt(10))) + (sqrt(14)*-4)/sqrt(7))**2 - (4 + -3*sqrt(2)*2*6).
36*sqrt(2) + 124
Simplify (sqrt(528)/sqrt(3) + 2 + -2 + -2*(sqrt(176) - sqrt(176)*-2)*-4)**2*-5.
-550000
Simplify (sqrt(2880)*-2 - sqrt(2880) - (sqrt(45) + (-3*sqrt(720) - sqrt(45))))/((sqrt(576)*-6)/sqrt(4)).
sqrt(5)/2
Simplify (((sqrt(192) + 0)*-1)**2 - (-1*sqrt(192) + 3)) + 1 + (4*-2*sqrt(15))/sqrt(5).
190
Simplify ((2 + sqrt(468)*-5 + sqrt(468) + sqrt(468) + 0)**2 - (6*(sqrt(468) + 2 + sqrt(468)) + 4)) + -5.
-144*sqrt(13) + 4195
Simplify ((sqrt(33) + sqrt(363)/(sqrt(11) - sqrt(891)))*-3)/(5*((sqrt(704) - -1*sqrt(704)) + sqrt(704))).
-7*sqrt(3)/320
Simplify -4 + (-2*(sqrt(112) - (0 + (sqrt(112) - (3 + sqrt(112)))) - (4 + sqrt(112) + -4))*2)**2 + 3.
143
Simplify -4*(3 + ((sqrt(1300) - (0 + sqrt(1300)))**2*-3*3 + -2)*-2 + -5).
-8
Simplify (5*(sqrt(363) + -1 + -1) - (-1 + ((1*sqrt(60))/sqrt(2) + sqrt(30))/sqrt(10)))*-5.
-265*sqrt(3) + 45
Simplify (-3 + -1 + (1*sqrt(11))**2 - (sqrt(99) + -1 + 1)**2) + (1*-2*sqrt(77) - sqrt(77))/(-4*sqrt(28)) + -4.
-96 + 3*sqrt(11)/8
Simplify (5*(-3*sqrt(832) - sqrt(832) - sqrt(832)))/(-1*sqrt(484) - 5*sqrt(100)).
25*sqrt(13)/9
Simplify -3 + (-1*(sqrt(160)/sqrt(8) - (sqrt(55) + 2*sqrt(55))/sqrt(11)) - 4*(-5 + sqrt(45) + 1)).
-11*sqrt(5) + 13
Simplify (5*2*sqrt(209)*2)/(sqrt(1584)*-1 + 6*sqrt(99))*3.
10*sqrt(19)
Simplify 6*(-2*5*-2*sqrt(99))/(sqrt(81) + sqrt(81)*1 + 1*sqrt(9)*5)*-6.
-720*sqrt(11)/11
Simplify (2*1*sqrt(64))/(sqrt(64)/(2*sqrt(8))) + (0 + (sqrt(162) + -1 + 0 + sqrt(162) - sqrt(162))**2)*-6.
-978 + 116*sqrt(2)
Simplify -5 + (-2*sqrt(832)*-3 + (sqrt(832) - (2 + sqrt(832))) + -1
|
{
"pile_set_name": "DM Mathematics"
}
|
(389/30)
Simplify (w**(-11)/(((w/w**(-18))/w)/w))/(w/(w/(w/(w*w*w**5))))**(5/7) assuming w is positive.
w**(-166/7)
Simplify (h**(-14))**(-11)*(h*h**(-4/11)/h)**(-6) assuming h is positive.
h**(1718/11)
Simplify ((z**(-2/5)/z)**(-3/4)/(((z*z*z*z*z**0*z)/z)/z)**(-46))**4 assuming z is positive.
z**(2781/5)
Simplify ((a*a*a*a*a**2)**(2/55)/(a**(2/3)/(a**(-4/9)*a)))**(-1/59) assuming a is positive.
a**(-53/29205)
Simplify (((r/r**(10/3))/r)/(r*r/(((r/r**(-33))/r)/r)))/((r*r/r**(2/7)*r)/(r*r**(4/13)/r)) assuming r is positive.
r**(6623/273)
Simplify (n*n**1)**(7/11)*n**10*(((n/(n/(n**(-8)/n)))/n)/n)/n*n assuming n is positive.
n**(3/11)
Simplify (s**(1/9)/(s**6*s*s))/(s**3/(((s/s**(-2/21))/s)/s)) assuming s is positive.
s**(-743/63)
Simplify (r/(r*r**(-3/4))*r)/(r**(4/3)*r)*((r/r**(-2/3))/r)**(-28) assuming r is positive.
r**(-77/4)
Simplify ((h**(-4))**(-3/35))**(-2/91) assuming h is positive.
h**(-24/3185)
Simplify q*q**(-10)*q*q*q**(-1)*(q*q**9)**(-10/13) assuming q is positive.
q**(-204/13)
Simplify (w**(1/2)*w**(-8))/(((((w*(w*w/(w*w/((w/w**(-5))/w)))/w)/w*w)/w*w)/w)/w**(-1/8)) assuming w is positive.
w**(-93/8)
Simplify (m*m**(-3/11))/m**(-1/2)*(m**1*m)/(m*m*m/m**(-10)) assuming m is positive.
m**(-215/22)
Simplify (x**(-4/7)/x)**(-24/7)*(x**(-7))**13 assuming x is positive.
x**(-4195/49)
Simplify (s/((s*s**(-9)/s)/s*s*s)*s**(-2/11)*s)/((s**8*s)/((s/(s**(-4/5)*s))/s)) assuming s is positive.
s**(34/55)
Simplify (y*(y*y*y**(-7)/y)/y)/y**(-3)*(y/y**(-9)*y)**(-2/65) assuming y is positive.
y**(-217/65)
Simplify ((f**(2/9)*f*f)/(f/f**(-10/9)))/(f*f**(2/49)*f*(f**9/f)/f) assuming f is positive.
f**(-3938/441)
Simplify ((f/f**(3/5))/(f/(f*f/((f*f*(f/(f**(-3/8)*f*f))/f)/f))))/(f**(2/27)/f)**(-3/10) assuming f is positive.
f**(629/360)
Simplify (s**(6/13)*s/((s/(s/(s/s**11)))/s))/(s**(-2/11)*s**(1/6)) assuming s is positive.
s**(10705/858)
Simplify ((v**0)**(-32)*v**(-2/9)*(v*v*v**(-2/25))/v)**(-8/11) assuming v is positive.
v**(-1256/2475)
Simplify ((a**(-1/4)*a)/a**4)/((a/(a/a**(-8)))/(a/(a/((a/(a*a/a**(1/8)))/a)*a)*a)) assuming a is positive.
a**(23/8)
Simplify (k*(k/(k*k*k**38*k))/k*k**16)**5 assuming k is positive.
k**(-120)
Simplify (p/(p/p**(2/7))*p/(p*p**(-14)/p))/((p*p**(-8)/p*p)/p)**(-7/11) assuming p is positive.
p**(785/77)
Simplify (r**(1/19))**(-3/4)/(r*r*r**10)**48 assuming r is positive.
r**(-43779/76)
Simplify (((d*(d/d**(2/9))/d)/d)/(d/(d**(6/11)*d))*(d/(d**(-3)/d)*d)**(-3/5))**(-2/33) assuming d is positive.
d**(3244/16335)
Simplify ((d**(5/2)/d)/(d/(d*(d*d/d**(-10)*d)/d*d)))/((d*d**(3/2))/d)**(-1/71) assuming d is positive.
d**(1031/71)
Simplify ((b*b/b**(-4))/b**4)**(16/7) assuming b is positive.
b**(32/7)
Simplify ((((j**(-6)*j)/j)/(j*(j**1*j)/j*j*j))/((j/(j*j/j**2*j)*j)/j)**(5/11))**(-45) assuming j is positive.
j**450
Simplify (c/(c/(c/(c**15/c)))*c**1)/(((c**(-3/4)/c)/c)/(c/(c*c/((c/c**(-10/7)*c)/c)))) assuming c is positive.
c**(-219/28)
Simplify (k**16*k)/k**(1/9)*k**7*k*k**(-15) assuming k is positive.
k**(89/9)
Simplify s**(2/31)/s**(-1/8)*(s**(-2/39)/s)/(s*s/s**(-11/4)) assuming s is positive.
s**(-54277/9672)
Simplify (x**(2/47)/x)**(10/9)*(x**(-6/11)/x)/(x**(-11/4)/x) assuming x is positive.
x**(2359/2068)
Simplify o*o**(-1/23)*o**3*o*o**(2/41)*o*o/(o/(o/o**(-1))) assuming o is positive.
o**(7549/943)
Simplify ((c/((c/((c/c**(-2))/c))/c*c))/c**(-1/2)*(c/(c**(-1/3)*c))**(-2/19))**(14/13) assuming c is positive.
c**(1967/741)
Simplify ((q**(-13)/(q**(-5)/q))**28)**(2/5) assuming q is positive.
q**(-392/5)
Simplify (f**(-16))**5*((f/(f*(f*f**19)/f))/f)**(-28) assuming f is positive.
f**480
Simplify (((i/i**(-1/23))/i)**33)**0 assuming i is positive.
1
Simplify (((r*r**(2/7)*r)/r)**(-2/33)*r/(r**(3/4)/r)*r/(r*r/(r**8*r)*r))**(-34/3) assuming r is positive.
r**(-14263/154)
Simplify (b**5)**(-27)*(b**(-2/13))**8 assuming b is positive.
b**(-1771/13)
Simplify (((a/(a/((a*a*a**(-12))/a*a))*a)/a*a)/a)**(-21)/(a/a**(2/69)*a*a**(2/5)*a) assuming a is positive.
a**(71287/345)
Simplify ((m/(m**(-9)/m))/((m*(m/m**(7/4))/m)/m))/(m**(-3))**15 assuming m is positive.
m**(231/4)
Simplify (l/l**(-8/11))/l**(26/7)*l**(2/9)/l**(2/39) assuming l is positive.
l**(-16361/9009)
Simplify (g/(g**(-2/17)/g)*(g*g**4*g)/g)/((g*g*g**(-11))/(g*g*g**17*g)) assuming g is positive.
g**(614/17)
Simplify ((((j*j*j**(1/3))/j)/j)/j*j/j**6*j**(-3)/(j/(j**0/j)))**(-2/11) assuming j is positive.
j**(64/33)
Simplify l**(-15)/l**(-11)*l/l**(2/9)*l*l/(l*l**(-2/5)*l*l) assuming l is positive.
l**(-172/45)
Simplify (d**(4/9)*d)**(2/3)/(d**(-17)/d*d**(-4/17)*d) assuming d is positive.
d**(8353/459)
Simplify ((z/z**22)/(z**(3/13)/z))**(-6/13) assuming z is positive.
z**(1578/169)
Simplify (f/(f*f/f**(-1))*f**(4/3)*(f/f**(-1))**(2/59))**1 assuming f is positive.
f**(-106/177)
Simplify (u/(u**(-15)/u)*u*u**6*u)/(u**2)**10 assuming u is positive.
u**5
Simplify p*p*p**(-1/3)*p**(-1)*p**(-1/4)/p**(-1/2) assuming p is positive.
p**(11/12)
Simplify (((m/(m**(2/11)*m))**(2/69))**(-32/5))**(-3/4) assuming m is positive.
m**(-32/1265)
Simplify (d/(d/(d*(d*d**(-4/11)/d)/d))*d/(d*d**(-16)))**49 assuming d is positive.
d**(8428/11)
Simplify ((x/((x/(x**6/x))/x*x)*x*x)/(x/x**2))/((x**(3/2)*x)/x*x)**47 assuming x is positive.
x**(-219/2)
Simplify (r**(-2/5))**3/(r**(4/15)*r**18/r) assuming r is positive.
r**(-277/15)
Simplify (((t**(-3/4))**(-2))**(-4))**(-2/11) assuming t is positive.
t**(12/11)
Simplify (i**(1/9)/i**(-7))/(i**(-3)*i**(2/5)) assuming i is positive.
i**(437/45)
Simplify ((a**(-1/2)*a*a/(a*a**(-5/2)))/((a/(a*a/(a*a/(a*a/(a/a**4)*a))*a*a))/a*a/(a**(1/3)/a)))**(1/76) assuming a is positive.
a**(7/57)
Simplify ((u**1)**(-39)*u**8*u*u/(u**(1/7)*u))**(12/13) assuming u is positive.
u**(-2532/91)
Simplify (g**27/g**(-18))/(((g*g*g**2*g)/g*g)/(g/(g*(g*g/(g**(-12)/g*g))/g))) assuming g is positive.
g**27
Simplify y*y/(y**(2/9)*y)*y*y**12/y*y**3*y**8 assuming y is positive.
y**(214/9)
Simplify (f/(f/(f**(-12)/f)))/(f/(((f*(f/f**(1/5))/f)/f)/f))*f**(-2/9)*f*f*((f/f**(-2/5))/f)/f*f*f*f assuming f is positive.
f**(-496/45)
Simplify (((o**(-3))**(12/19))**9)**(-44) assuming o is positive.
o**(14256/19)
Simplify ((w/w**(3/2))/(w/w**(-5/4)*w))/(((w**6/w)/w*w)/(w*w*w/(w/(w/w**(-5)*w)))) assuming w is positive.
w**(1/4)
Simplify (w**(1/2))**39/(((w/(w/(w/(w/w**(-11))*w)))/w)/(w**(1/12)*w)) assuming w is positive.
w**(379/12)
Simplify b**(-8)/b**2*b**(-2/83)/(b*b/((b/(b/b**(-8)))/b)) assuming b is positive.
b**(-1745/83)
Simplify ((s**(6/5)*s)/s**26)/((s/s**(3/5)*s*s)/(s/((s*s**7*s*s)/s*s*s))) assuming s is positive.
s**(-181/5)
Simplify (w**0)**(-2/67)*(w**6/w)/(w/(w*w**(-17))) assuming w is positive.
w**(-12)
Simplify ((y/(y**(-1/11)/y))/y**7)/((y/(y/(y/(y/((y/(y**(-1/3)*y))/y)*y*y))))/y)**50 assuming y is positive.
y**(5888/33)
Simplify (u*u*u**2)/u*(u*u**(-8))/u*u/(u*u*u**(-6))*((u/(u*u*(u**(3/4)/u)/u))/u)/u assuming u is positive.
u**(-7/4)
Simplify (w**23)**38/((w**18*w)/(w*w*w/w**(-2/19)*w*w)) assuming w is positive.
w**(16342/19)
Simplify ((t*t**0)**(1/3)/(t*(t*t*(t/(t**0*t))/t*t*t)/t)**31)**(-1/17) assuming t is positive.
t**(278/51)
Simplify (b/(b/b**10)*b**(-24))/((b/((b/(b/(b/b**(-3/10))))/b)*b*b)/b*b**24/b) assuming b is positive.
b**(-387/10)
Simplify (r**(1/2)/r)**(-48)/(r**16*r*r**(-5/9)) assuming r is positive.
r**(68/9)
Simplify t**32/t**34*(t*t**(-15/8))/t**13 assuming t is positive.
t**(-127/8)
Simplify (((u*u*(u/(u**(-1/15)*u)*u*u)/u*u)/u)/u*u**(-5/2)*(u**(-6)/u)/u**9)**30 assuming u is positive.
u**(-493)
Simplify (v*v**(-1/4)*v**(10/3))/(((v/(v*v/(v/((v*v**(-12)*v)/v))))/v)/((v*(v*v**(-3/10))/v*v)/v*v)) assuming v is positive.
v**(-253/60)
Simplify ((((k/(k/((k*k/k**(-1/2)*k*k)/k*k*k)*k))/k)**(-37))**46)**(-1/2) assuming k is positive.
k**(5957/2)
Simplify ((p**6*p**(-2/11)/p)/(p**(-1/8)*p**(-3)))**(12/5) assuming p is positive.
p**(2097/110)
Simplify (((o/(o/o**(-2/3)))**(-31))**28)**(2/9) assuming o is positive.
o**(3472/27)
Simplify (m*m**(-2/7)/m)/m**(2/13)*(m*m**(-9))/(m**11*m) assuming m is positive.
m**(-1860/91)
Simplify (((l/(l**(1/4)/l))/(l/((l/l**(1/8)*l)/l)))/((l*(l/(l*l**0*l))/l)/l**(-9)))**(-2/19) assuming l is positive.
l**(51/76)
Simplify (j*j*j**(-35))/j**(-3/4)*((j*j**(-3/19)/j)/j)/(j*j**(1/63)) assuming j is positive.
j**(-164821/4788)
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -1105*u. Determine -6*b(g) + 289*c(g).
-17*g
Let k(d) be the second derivative of -d**4/12 - d**3/6 - 2*d. Let v(u) = 0*u**3 - u**2 + 3*u - 4*u + u**3. Calculate 2*k(x) - v(x).
-x**3 - x**2 - x
Let c(h) = 3*h - 5. Let q(p) = -3*p + 6. What is 6*c(b) + 5*q(b)?
3*b
Let b = 68 + -61. Let i(g) = -10*g + 6. Let t(p) = -3*p + 8. Let y(a) = -a - 1. Let z(d) = t(d) + 4*y(d). Determine b*z(k) - 5*i(k).
k - 2
Let i(o) = 11*o**2 - 3*o + 4. Let v be (-4)/10 + (-24)/(-10). Let c be v*(-2)/2 + -2. Let q(w) = -1 + 0*w**2 - 6*w**2 + 3*w - w - 1. What is c*i(z) - 7*q(z)?
-2*z**2 - 2*z - 2
Let y(t) = 12*t**3 - 6*t**2 + 3*t + 3. Let p(f) = -f**2 + f + 1. Determine -3*p(z) + y(z).
12*z**3 - 3*z**2
Let v(s) = s**2 + 1. Let o(l) be the third derivative of -1/24*l**4 - 5*l**2 - 7/60*l**5 + 0 + 0*l - 2/3*l**3. Give o(t) + 6*v(t).
-t**2 - t + 2
Let p(k) = -k**2 + 2*k - 5. Let o(q) = -3*q**2 + 6*q - 14. What is 6*o(t) - 17*p(t)?
-t**2 + 2*t + 1
Let i(f) = f - 1. Suppose 11*o + 9*o - 120 = 0. Let t(j) be the first derivative of -7/2*j**2 + 1 + 6*j. Determine o*i(b) + t(b).
-b
Let a = -3 + -2. Let s(j) = -8*j**2. Let r(h) = -7*h**2. Give a*r(o) + 4*s(o).
3*o**2
Let m(a) be the first derivative of a**2 + 2*a - 6. Let s(t) = 1. What is m(p) - s(p)?
2*p + 1
Let m(u) be the second derivative of 5/2*u**2 + 0 + 4*u + 2/3*u**3. Let k(n) = n + 1. Determine 5*k(q) - m(q).
q
Let n(d) = 1. Let b(t) = -13*t - 1. Calculate -b(x) - 2*n(x).
13*x - 1
Let h(y) = 2*y**2. Let k(t) be the first derivative of -t**5/20 - 2*t**2 + 5. Let v(b) be the second derivative of k(b). Give -6*h(d) - 5*v(d).
3*d**2
Let a(s) = -s + 1. Let j(g) be the first derivative of g**5/60 - g**4/8 - g**3/3 - 2. Let v(l) be the third derivative of j(l). Calculate a(h) + v(h).
h - 2
Let z(x) be the first derivative of -7*x**4/4 + 7*x**3/3 - 3*x**2 + 6*x - 5. Let m(u) = -15*u**3 + 15*u**2 - 13*u + 13. What is 6*m(h) - 13*z(h)?
h**3 - h**2
Let r(j) = 2175*j**3 - 203. Let w(y) = -32*y**3 + 3. Give 3*r(x) + 203*w(x).
29*x**3
Suppose 5*c = 4 + 6. Let b(p) = 3*p**3 - p**2 - 2*p. Let q(h) be the first derivative of -7*h**4/4 + 2*h**3/3 + 5*h**2/2 - 5. What is c*q(o) + 5*b(o)?
o**3 - o**2
Let v(l) = 5*l**3 + 8*l**2 - 8*l - 12. Let f(r) = -2*r**3 - 3*r**2 + 3*r + 4. Calculate 8*f(c) + 3*v(c).
-c**3 - 4
Let g(h) = 9*h**2 - 6*h - 6. Let s(d) = -2*d**2 - 25*d + 12. Let f be s(-13). Let b(r) = -r**2 + r + 1. Determine f*g(l) - 6*b(l).
-3*l**2
Let i = 58 - 60. Let o(h) = h**2 - 9*h. Let v(x) = -6*x + 4. Let k(m) = -m + 1. Let p(l) = 4*k(l) - v(l). Determine i*o(u) - 9*p(u).
-2*u**2
Let b(v) = -v**3 + v**2 + v + 1. Let h(c) = c**2 - 2*c + 7. Let x(z) = -2*z**2 + 3*z - 12. Let f(o) = -5*h(o) - 3*x(o). Determine -b(g) + f(g).
g**3
Let h(t) = t - 9. Let g be h(6). Let x(n) = -6*n - 3. Let d(c) = 2*c + 2. Let s(b) = 3*b + 2. Let f(w) = -2*d(w) + 3*s(w). What is g*x(q) - 4*f(q)?
-2*q + 1
Let g(z) = 10*z**2 + z + 3. Let x(l) = -l**2 - 1. What is -2*g(b) - 6*x(b)?
-14*b**2 - 2*b
Let m(w) = 3*w + 6. Let u be m(0). Let a(n) = -5*n + 2. Let z(y) = -4*y + 2. Give u*z(f) - 5*a(f).
f + 2
Let g be -2 + 2 - (-1 - 1). Let h(y) = y + 1. Let x = -5 + 5. Let i(l) = 6*l + x*l - 2*l + 2. Determine g*h(j) - i(j).
-2*j
Let c(j) = -4*j**3 - 4*j**2 + 4*j - 1. Let w(i) = 5*i**3 + 3*i**2 - 3*i + 1. Determine 3*c(g) + 4*w(g).
8*g**3 + 1
Let x(j) = 13*j**2 + 9*j. Let m(b) = 6*b**2 + 4*b. Let k = -3 + 7. Suppose 42 = k*s - 3*a, -2*a = s - a - 7. Give s*m(f) - 4*x(f).
2*f**2
Let v(j) = -j**3 - j. Let c(s) = 6*s**3 + 5*s. Determine c(b) + 5*v(b).
b**3
Let u(m) = m**3 - m**2 + 7*m + 6. Suppose 0 = -2*n - n + 33. Let a(t) = 2*t**3 - 2*t**2 + 13*t + 11. Determine n*u(w) - 6*a(w).
-w**3 + w**2 - w
Let p(t) be the third derivative of 1/12*t**4 + 1/3*t**3 + 0 + 0*t - 6*t**2 - 1/30*t**5. Let o(u) = -u**2 + u + 1. Determine 3*o(j) - p(j).
-j**2 + j + 1
Let m(q) = q**2 + q. Let x(p) = -23*p**2 + 4*p. Give 6*m(u) - x(u).
29*u**2 + 2*u
Let b(t) = -t**3 + 1. Let l(k) = -3*k**3 + 4. Calculate 9*b(h) - 2*l(h).
-3*h**3 + 1
Let n(q) = -9*q - 5. Let u(r) = 5*r + 3. Let d(g) = -3*n(g) - 5*u(g). Suppose -6*s = -2*s - 24. Let y(o) = o. Calculate s*d(m) - 11*y(m).
m
Let o be ((-4 + 3)*-1)/(2 - 1). Let p(j) = -2*j**2 + 3*j - 3. Let k(f) = f**2 + f - 1. Determine o*p(r) - 3*k(r).
-5*r**2
Let t(k) = k**2 - k - 1. Suppose -5*y + 3 = -4*y. Suppose -2*d + 5*x = -0*x - 7, 3*d - 4*x = 7. Let a(z) = -4*z**2 + 3*z + 3. Determine d*a(o) + y*t(o).
-o**2
Let l(n) = n**3 - 2*n**2 + 5*n + 1. Let z(h) = -h**3 + 3*h**2 - 6*h - 2. Calculate -3*l(p) - 2*z(p).
-p**3 - 3*p + 1
Let c(g) = -7*g**3 - 3*g**2 - 1. Let r(o) = o**2 + 1. Calculate c(m) + r(m).
-7*m**3 - 2*m**2
Let i be 10*(-2 - 15/(-6)). Let o(p) = -2*p - 4. Let g be o(-4). Let c(m) = -5*m + 2*m + g*m. Let v(t) = t. What is i*v(n) - 4*c(n)?
n
Let c be 1/2*4/1. Let o(h) = -c + 4*h + 2*h**3 + 5*h**2 + 0*h**2 - 2*h**2. Let f(d) = -d**2 - d + 1. Give 3*f(l) + o(l).
2*l**3 + l + 1
Let h(n) = 24*n - 36. Let q(s) = -s + 1. Determine h(o) + 36*q(o).
-12*o
Let q(k) be the first derivative of -2*k**3/3 + 5*k**2/2 - 4*k + 8. Let x(h) = -h**2 + 4*h - 3. Calculate 3*q(a) - 4*x(a).
-2*a**2 - a
Let i(r) = 9*r - 4. Let o(k) = 10*k - 3. Calculate -2*i(d) + 3*o(d).
12*d - 1
Let f(d) = 6*d**3 - 3*d. Let j(l) = 13*l**3 - 7*l. Let k(a) = -7*f(a) + 3*j(a). Let n = 82 + -92. Let o(x) = x**3. What is n*o(t) - 4*k(t)?
2*t**3
Let i(b) = 7*b**2 - 9*b**3 + 0 - 6*b - b - 7 + 0. Suppose 3*r - 22 = -p, -2*r - 3*r - 3*p + 38 = 0. Let l(o) = 5*o**3 - 4*o**2 + 4*o + 4. Give r*l(t) + 4*i(t).
-t**3
Let t(a) = 3*a - 1. Let i(f) = -f. Let o be ((-15)/5 - -2) + -3. Give o*i(r) - 2*t(r).
-2*r + 2
Let i = 24 + -27. Let b(l) = -2*l**2 + 3*l - 1. Let w(x) = x**2 - 2*x + 1. Calculate i*w(g) - 2*b(g).
g**2 - 1
Let h(s) = -s**2 - s - 1. Let z(b) = 0*b - 3*b**2 - 2*b + 0 - 4*b - 8. What is -6*h(n) + z(n)?
3*n**2 - 2
Let l(b) be the second derivative of 13*b**5/20 + 5*b**4/12 - 5*b**3/6 - 5*b**2/2 + 2*b. Let v(m) = 6*m**3 + 2*m**2 - 2*m - 2. Determine -2*l(k) + 5*v(k).
4*k**3
Let h(t) = 4*t - 2. Let x be 6*((-10)/4)/(-5). Let j(n) = -3*n + x*n - 7*n + 3. Suppose 0 = -8*v + 7*v - 5. What is v*h(u) - 3*j(u)?
u + 1
Let i(u) = -2*u**2 - u**2 - 6*u + 4*u**2 + 2 + 4*u**2. Let c(r) = r**2 - r. What is -6*c(j) + i(j)?
-j**2 + 2
Let z be ((-1)/(-3))/(2/6). Let d = 3 - 1. Let i(x) = 3*x. Let f(n) = 2*n - 3*n + 0*n. Give d*f(m) + z*i(m).
m
Let b(w) be the third derivative of 7*w**4/24 - 7*w**3/6 + 8*w**2. Let q(v) = 3*v - 3. What is -4*b(g) + 9*q(g)?
-g + 1
Let a(q) = 2*q + 1. Let g(f) = 3*f + 2. Give -4*a(y) + 3*g(y).
y + 2
Suppose 0*p + 5*y - 26 = -3*p, -y + 2 = -p. Suppose p*o - 3 = 1. Let d(i) = i**2 + i. Suppose -30 = -6*u + u. Let m(n) = -2*n**2 - 4*n. What is o*m(c) + u*d(c)?
2*c**2 - 2*c
Let l(m) = -2*m**2 - 2*m. Let a(v) = 2*v**2 + 2*v. Let o = 114 - 108. Calculate o*a(p) + 7*l(p).
-2*p**2 - 2*p
Let x(z) = 2*z**3 + 3*z**2 + 4*z + 9. Let f(t) = 2*t**3 + 2*t**2 + 3*t + 10. What is -3*f(d) + 2*x(d)?
-2*d**3 - d - 12
Let j(q) = -q - 1. Let c(l) = l + l**2 + 1 + 1 + 2*l + 0*l. What is c(z) + 3*j(z)?
z**2 - 1
Let f(m) = 5*m + 4. Suppose 14*k = 6 + 36. Let n(r) = -4*r - 3. Determine k*f(u) + 4*n(u).
-u
Let i(o) = o**2 - o + 1. Let g(r) = 7*r**2 - 3*r - 8. What is g(j) - 5*i(j)?
2*j**2 + 2*j - 13
Let t(m) = 5*m + 2. Let q(o) = 4*o**2 + 1. Let w be q(-1). Let f(x) = 10*x + 5. What is w*t(a) - 2*f(a)?
5*a
Let k(f) = 5*f. Let x(r) = -18*r. Let c(s) = 7*k(s) + 2*x(s). Let q(d) be the first derivative of -d**2/2 + 1. Calculate 2*c(p) + q(p).
-3*p
Let r(v) = 4*v**2 - 12*v - 1. Let o(i) = 9*i**2 - 25*i - 2. What is -6*o(y) + 13*r(y)?
-2*y**2 - 6*y - 1
Let x(f) = 9*f**2 - 3*f. Let v(p) = 5*p**2 - 2*p. Give -5*v(w) + 3*x(w).
2*w**2 + w
Let z(j) = 10*j + 4. Let b = 85 + -81. Let l(k) = -k - 1. Determine b*l(g) + z(g).
6*g
Let n(o) = 5*o - 4. Suppose -2*i = -4 - 0. Suppose h + i = 7. Let y(b) = -9*b + 7. What is h*n(z) + 3*y(z)?
-2*z + 1
Let h(c) = -3*c + 17. Let f be (7/14)/(1/10). Suppose f*j = 18 + 12. Let k(l) = -j - 4*l + 4*l + l. Calculate -6*h(y) - 17*k(y).
y
Let x(v) = 3*v - 1. Let s(k) = -k. What is -4*s(f) - x(f)?
f + 1
Let p(x) = 9*x - 4. Let d(v) = 22*v - 10. Let y(t) = -t**2 - 6*t + 2. Let a be y(-7). Determine a*d(f) + 12*p(f).
-2*f + 2
Let h(k) = 2*k - 3. Let m = 46 + -32. Suppose 5*r + 16
|
{
"pile_set_name": "DM Mathematics"
}
|
e of v(p). What is the third derivative of n(b) wrt b?
96*b
Let s(a) = 12*a**2 - 2*a + 1. Let j be s(1). What is the second derivative of b - j - 10*b**2 + 11 wrt b?
-20
Let r be 436/(-6)*(-15)/10. What is the third derivative of -r*i**2 + 5*i**5 + i**5 + 114*i**2 wrt i?
360*i**2
Let f(q) = q**3 - 4*q**2 + q + 3. Let g be f(3). Let h = 14 - g. What is the third derivative of 7*m**3 - h*m**3 + 8*m**3 + 5*m**2 wrt m?
-12
What is the derivative of 2 - 125*c - 104 + 103*c - 67 + 176*c wrt c?
154
Let h = 42 - 38. Find the second derivative of 0*z**2 - 186*z + 174*z - z**2 + 8*z**h - z**2 wrt z.
96*z**2 - 4
What is the second derivative of 154*a**3 - 97*a + 49*a + 45*a wrt a?
924*a
Find the first derivative of 188*z + 73 + 33 + 135 wrt z.
188
Suppose 3*c + 555 = 564. Let o(u) be the second derivative of -1/3*u**4 + 0*u**2 + 0 - 1/2*u**c + 4*u. What is the second derivative of o(l) wrt l?
-8
Let u(c) = 143*c**2 + 138. Let l(d) = d**2 + 1. Let b(r) = l(r) - u(r). What is the first derivative of b(g) wrt g?
-284*g
Let u(r) = 1. Let z(f) = 215*f**4 + 2*f**2 - 11*f - 29. Let b(k) = -2*u(k) + z(k). What is the second derivative of b(w) wrt w?
2580*w**2 + 4
Let s(a) be the second derivative of -a**9/168 + 7*a**5/30 + a**2 - 3*a. Let l(j) be the first derivative of s(j). Find the third derivative of l(p) wrt p.
-360*p**3
Let x be (-4)/((117/6)/(-13)). Let p(n) be the first derivative of -9 + x*n**3 + 0*n + 0*n**2 + 5/4*n**4. Find the third derivative of p(q) wrt q.
30
Let r be (-21)/14*(106/(-6) + 1). What is the third derivative of -r*b**5 - 4*b**2 + 42*b**5 - 19*b**2 wrt b?
1020*b**2
Let i(n) = 419*n**3 + 363*n**2 + 2. Let h(v) = 1676*v**3 + 1451*v**2 + 9. Let l(g) = 2*h(g) - 9*i(g). Find the third derivative of l(j) wrt j.
-2514
Find the third derivative of -2*s**3 - 126*s**3 - 11*s - 24*s**3 - 8*s**2 wrt s.
-912
What is the second derivative of -36*k - 263*k**4 + 307*k**4 - 178*k**4 wrt k?
-1608*k**2
Let r(a) = -4*a**2 - 1. Let j(i) = -3*i**2. Let x(s) = -7*j(s) + 3*r(s). What is the first derivative of x(b) wrt b?
18*b
What is the third derivative of 2 - 2*o**5 + 13*o**2 - 1134*o**3 - 2*o**4 + 1134*o**3 + 9*o**5 wrt o?
420*o**2 - 48*o
Let q(m) = -3*m - 8. Let a(x) = x. Let k(n) = 4*a(n) + q(n). Let z be k(11). Differentiate -o - z + 4 + 7*o wrt o.
6
Let n(t) = 2*t**2 - 56*t - 249. Let u(p) = -6*p**2 + 111*p + 499. Let k(j) = 5*n(j) + 2*u(j). What is the derivative of k(l) wrt l?
-4*l - 58
Let d = 25 + -13. Let l be 4/d*15 + -3. Find the first derivative of -106*c**l + 2 + 117*c**2 - 1 wrt c.
22*c
Let j(t) = t**2 + t. Suppose 6*y - 13*y - 21 = 0. Let q(u) = 5*u**2 - 7*u. Let n(g) = y*j(g) + q(g). Find the second derivative of n(d) wrt d.
4
Suppose -27*p + 23*p = 0. Let n(j) be the first derivative of 0*j**4 + j**2 + 0*j - 5 + 6/5*j**5 + p*j**3. Find the second derivative of n(b) wrt b.
72*b**2
Let v = 16 + -14. Suppose -3*z = 3*c - 6, -z + v = 3*c - 7*c. Find the third derivative of 15*h**6 + 18*h**6 - 41*h**6 - 3*h**z wrt h.
-960*h**3
Let a(c) be the second derivative of -17*c + 5*c**2 + c**3 - 12*c + 6*c**2 + 3*c**2. What is the first derivative of a(h) wrt h?
6
Let x = -28 + 32. Find the second derivative of x*h**4 - 7*h + 15*h + 6*h**4 wrt h.
120*h**2
Let a(n) = -n**2 + 4*n + 1. Let q be a(3). Suppose 14 = v + q*j, 2 = -j + 2*j. What is the third derivative of -9*b**v - 2*b**2 - 3*b**2 - 2*b**6 wrt b?
-1320*b**3
Let f(r) = -3*r**2 + 9*r + 2. Let q be f(10). Let g be (-37)/(-13) - 32/q. Find the first derivative of 6 - 116*t + 116*t - 4*t**g wrt t.
-12*t**2
Let p(o) = -19*o**3 - 22*o**2 - 2*o - 141. Let j(h) = -20*h**3 - 19*h**2 - 2*h - 143. Let f(x) = 7*j(x) - 6*p(x). What is the second derivative of f(z) wrt z?
-156*z - 2
Suppose -4*q = -16, -5*l + 4 = -2*q + 2. Find the third derivative of -6*x**2 - x**4 - 9*x**4 + 0*x**l wrt x.
-240*x
Let l(c) = -577*c**4 - 2*c**3 + 5*c - 14. Let g(u) = 5*u**4 - u**3 + u - 2. Let d(f) = -2*g(f) + l(f). What is the second derivative of d(b) wrt b?
-7044*b**2
Let v(i) = 14*i**4 + 6*i**3 - 8*i**2 + 17*i + 18. Let l(t) = t**4 + t**3 - t**2 + t + 3. Let j(u) = -6*l(u) + v(u). Find the second derivative of j(y) wrt y.
96*y**2 - 4
Let p = -4 + 6. Let n(q) be the first derivative of -5/4*q**4 + 0*q**p - 4 + 0*q + 4/3*q**3. What is the third derivative of n(d) wrt d?
-30
Let m(j) = -j**3 + j**2 + j - 1. Let k(c) = -88*c**3 + 5*c**2 + 5*c - 3. Let n(l) = -k(l) + 5*m(l). What is the derivative of n(g) wrt g?
249*g**2
Suppose 6*w + 0*w = 24. Let v be (-5)/(-3) + 3/9. Differentiate -2*u**2 - v + 5*u**2 + w*u**2 - 3*u**2 with respect to u.
8*u
Let f = -15 + 43. Let t be (4/14)/(2/f). Differentiate -2 + t + 0 - 12*l wrt l.
-12
Let v(c) = c**3 + c**2 - c + 4. Let b(u) = -260*u**3 + 38*u**2 + 22*u - 88. Let o(q) = 2*b(q) + 44*v(q). Find the third derivative of o(s) wrt s.
-2856
Let c(k) = -k**2 + 2*k + 1. Let m(p) = -113*p**2 + 18*p + 4. Let z(h) = -4*c(h) - m(h). Find the second derivative of z(l) wrt l.
234
What is the second derivative of 22*q**3 - 3617*q**5 + 3622*q**5 + 29*q + 270*q wrt q?
100*q**3 + 132*q
Let u(k) be the second derivative of 4*k + 0*k**3 + 0*k**5 + 0*k**4 + 1/10*k**6 + 0 + 5/2*k**2. Find the first derivative of u(s) wrt s.
12*s**3
Let n(u) = 0 + 5*u - u**2 - 5 - 15*u. Let q be n(-9). Find the first derivative of 2 + 8*i**4 - 10*i**q + 6*i**4 wrt i.
16*i**3
Suppose 4*i + i - 3*m - 67 = 0, 4*i + 4*m - 28 = 0. What is the first derivative of 16*y**2 - 11 + i*y**2 - 21*y**2 wrt y?
12*y
Let i be 6/(-8) - (-2115)/36. What is the second derivative of 111*s - 38*s**2 - 55*s - i*s wrt s?
-76
Let q = 17 - 19. Let m(f) = 41*f**4 + 59*f**2 + 11. Let h(n) = 8*n**4 + 12*n**2 + 2. Let i(l) = q*m(l) + 11*h(l). What is the third derivative of i(j) wrt j?
144*j
Let u(a) be the third derivative of -23*a**5/15 + 61*a**4/12 - 66*a**2. Find the second derivative of u(x) wrt x.
-184
Let m(g) = -g - 15. Let d be m(-17). Let p(a) be the first derivative of -1 + 0*a + d*a**3 + 5/2*a**2. Find the second derivative of p(u) wrt u.
12
Let j(d) be the second derivative of d**8/80 - 3*d**5/20 + 7*d**3/2 - 17*d. Let i(g) be the second derivative of j(g). Find the second derivative of i(m) wrt m.
252*m**2
Suppose -18*t - 80 = -13*t. Let h be (-141)/2*t/24. What is the third derivative of -h*f**4 + 47*f**4 - 10*f**6 + 3*f**2 wrt f?
-1200*f**3
Let d(j) = 3*j**2 - 3*j - 6. Let u be d(5). What is the third derivative of 4*m**3 - 27*m**2 + 0*m**3 + u*m**2 wrt m?
24
Let a be 43/9 + (-4)/(-18). Find the second derivative of 17*g + 0*g**a - 3*g**5 - 4*g**5 wrt g.
-140*g**3
Let k(b) be the second derivative of -8*b**6/5 + b**3/3 - 94*b**2 + 92*b. What is the first derivative of k(r) wrt r?
-192*r**3 + 2
Let w be (-3)/2*(1 + -3). Suppose -5*c = 3*d - 32, w = 3*c - 9. What is the second derivative of 2*r**d + 5*r**4 + 14*r - 4*r wrt r?
84*r**2
Let r = 15 - 16. Let p be r*(8/(-4) + 0). Differentiate -4 + 8 - 4*m**3 - 3 + p*m**3 wrt m.
-6*m**2
Let t be (-3)/(-1) + 2/(-6 + 8). Let u(o) be the second derivative of -o**3 + 0*o**2 + 2*o + 0 - 1/6*o**t. What is the second derivative of u(k) wrt k?
-4
Let a(j) = -4*j**4 + 49*j**3 + 3*j**2 + 63. Let q(x) = -5*x**4 + 50*x**3 + 4*x**2 + 63. Let f(p) = -4*a(p) + 3*q(p). Differentiate f(c) wrt c.
4*c**3 - 138*c**2
Let l = -100 - -117. Find the second derivative of -l + 17*u - 2*u + 3*u**5 + 17 wrt u.
60*u**3
Let b = 17 + -13. Suppose -b*x + 390 + 470 = 0. Find the second derivative of 5*h**5 - x + 215 + 4*h + 2*h**5 wrt h.
140*h**3
Let k(n) be the second derivative of 0*n**2 + 0*n**6 + 0*n**5 + 0*n**3 + 0*n**7 + 22*n + 3/4*n**8 - 3/4*n**4 + 0. What is the third derivative of k(m) wrt m?
5040*m**3
What is the second derivative of -27 - 33 + 140*b**4 + 60 - 78*b wrt b?
1680*b**2
Let k(w) = w**3 - 2*w**2 - 4*w - 7. Let n be k(4). Find the third derivative of 3*p**2 + 9*p**3 + n*p**2 - p**2 + 0*p**3 wrt p.
54
Let k(j) = 49*j**4 - 3*j**3 + 8*j - 5. Let v(i) = -97*i**4 + 5*i**3 - 15*i + 11. Let a(h) = 5*k(h) + 3*v(h). Find the second derivative of a(l) wrt l.
-552*l**2
Let c(z) = -112*z**2 + 65*z + 172. Let v(x) = 13*x. Let u(r) = -2*c(r) + 10*v(r). Differentiate u(s) wrt s.
448*s
Let a(z) be the third derivative of -51*z**7/70 + 3*z**5/10 + z**4/6 + 58*z**2. What is the third derivative of a(k) wrt k?
-3672*k
Let
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{
"pile_set_name": "DM Mathematics"
}
|
s and give g.
-32
Express 365*u - 364*u + 0 + 6 + 4801*u**2 - 4 + 849*u**2 in the form f*u + q + j*u**2 and give q.
2
Rearrange -8 - 98 + 65*p + 16 - 2 - 15*p to w*p + k and give k.
-92
Express 573*z**3 + 2*z**2 + 7 - 509*z**3 + z - 2*z**2 in the form c*z**3 + g*z + u + b*z**2 and give g.
1
Rearrange (3 + 2 - 6 + (-1 + 1 - 2)*(105 + 86 - 62))*(0*o + 0*o + 2*o**2) to the form t*o**2 + w + p*o and give t.
-518
Rearrange -89*p**2 - 1 - 2*p - 34*p**2 + 3*p**3 - 11*p**4 + 124*p**2 to the form j*p**4 + f + v*p + d*p**3 + o*p**2 and give o.
1
Rearrange -77343 - 11*p + 77331 + p**4 - 7*p**2 + 13*p - p**3 to z*p + c + g*p**2 + t*p**4 + l*p**3 and give z.
2
Express 192*w + 17*w**3 - 48*w**2 + 21*w**2 + 25*w**2 - 193*w in the form n*w**2 + o*w + y*w**3 + p and give y.
17
Rearrange (-3*r**4 + 0*r**4 + r**4)*(-609108 + 1213720 - 609666) to h*r**2 + s*r**4 + g*r + b + k*r**3 and give g.
0
Express -6 + 0 + 4*j - 6*j**2 + 0 - 32*j**2 - 2*j**2 in the form u*j + y*j**2 + z and give z.
-6
Express (-3416 + 9691 - 12434 - 20825 + 6300 - 24940)*(-2 + 2 - 7*t) as w*t + m and give m.
0
Express (4 + 3 - 1)*(6*f - 5*f + 5*f) + 4 - 4 - 5*f - 3 - 4*f + 3 as p*f + h and give p.
27
Rearrange 5853*s + 6891*s - 4342*s to i + b*s and give b.
8402
Rearrange (-1 + 191*l - 187*l + 2)*(-28 - 239 - 7) to s*l + z and give s.
-1096
Express (-12923*u**2 + 25398*u**2 - 14276*u**2)*(11*u + 3*u - 6*u)*(3*u + 2*u - 2*u) in the form y*u**4 + k + o*u**2 + b*u + m*u**3 and give k.
0
Rearrange -849*r**4 - 29*r - 1 - 2*r**2 - 1 - 2*r - r + 30*r to the form l*r**3 + k*r**4 + h + a*r**2 + j*r and give h.
-2
Rearrange -46 - 4*r**2 + 2678 + r**2 - 2*r**2 + 3*r**2 to the form z*r + s + i*r**2 and give s.
2632
Rearrange 2 + 395*s**2 - s - 449*s**2 + 299*s**2 to w*s + d + p*s**2 and give w.
-1
Express -u**3 - 3*u**3 + 1 + 1 - 6*u - 752*u**2 + 748*u**2 in the form p*u**2 + q*u**3 + v*u + h and give p.
-4
Rearrange -498*s**3 + 219*s**3 + 2 - 332*s**3 + 10*s**2 to t*s + v*s**2 + u + r*s**3 and give v.
10
Express 0*s**3 + 4*s**3 + 17 + 9*s - 12*s + 8*s**3 + 13*s**2 - 13*s**3 as u + q*s**2 + r*s + c*s**3 and give u.
17
Express (97*z - 301*z - 605*z)*(z - z - 3*z)*(-2*z - z + 4*z) in the form l*z**2 + i*z + t + g*z**3 and give g.
2427
Rearrange -82*f**2 - 10*f + 2*f**4 + 119*f**3 - 121*f**3 + 44*f**2 + 41*f**2 to the form j*f**3 + v + z*f**2 + n*f**4 + m*f and give z.
3
Rearrange ((-4 + 4 - 1)*(1 - 2*z - 1) + 2*z - 5*z + 4*z)*(5 - 5 + 2)*(17843 - 18731 - 35347) to the form y + t*z and give t.
-217410
Express -107419*z**3 + 4*z**2 - z**4 + 107367*z**3 + 8*z**2 - 3 as g + l*z**3 + u*z**4 + r*z**2 + q*z and give l.
-52
Rearrange -2896*x - 45281 + 45281 - 2294*x to the form w + j*x and give j.
-5190
Rearrange (8*m - 7*m - 2*m)*(2*m + 0*m - 7*m)*(19 - 1 + 5) to p*m + g*m**2 + s and give g.
115
Express (2990*x + 111 + 12222*x - 1596*x + 59 - 170)*(-2*x - 2*x + 6*x) as q*x**2 + y*x + j and give q.
27232
Rearrange -97 - 4*u**2 + 10*u**2 - 45 - 7*u**2 - 2*u**3 - 124 + u to the form c*u**2 + i*u**3 + b + j*u and give c.
-1
Express -4*c - 20*c**2 + 20 + 19*c**2 - 2*c - c**3 + 12*c - c in the form r*c**3 + i*c**2 + y*c + b and give y.
5
Express (44 + 100 + 39)*(0*h**4 + 0*h**4 + h**4) - 5453*h**3 + 5453*h**3 + 72*h**4 in the form o*h**2 + n + q*h**4 + r*h + s*h**3 and give q.
255
Rearrange (-2822 + 9585 - 2798)*(-5*y**3 + 4*y**3 + 3*y**3) + 0*y - y**3 + 0*y to the form l*y + d + z*y**2 + n*y**3 and give n.
7929
Express (-6 - 9*s + 6)*(2 + 0 - 3)*(-51*s - 264*s - 67*s) in the form u + m*s**2 + j*s and give m.
-3438
Express -882 - 263*h**2 + 1758 - 877 in the form s + a*h**2 + p*h and give a.
-263
Express (-4*o - 7 + 7)*(19 - 19 + 8*o**2) + 2*o**3 + 9*o**2 - 9*o**2 + (o**3 - 3*o**3 + 0*o**3)*(1 - 1 + 1) in the form z + x*o**2 + y*o**3 + q*o and give y.
-32
Rearrange 10095*s + 2175*s + 3093*s + 297*s + 2 to the form v*s + c and give v.
15660
Rearrange (0 + 3 + 1)*(-7034 + 1968*l - 7030 - 7036 + 21100) to the form t + p*l and give p.
7872
Express -4*s**2 - 15*s - s**3 + 0*s - 13*s**2 + 19*s as k*s**3 + u*s**2 + f + c*s and give c.
4
Rearrange (0 + 0 - 2*b)*(0 - 1 + 0 + (-2 + 3 + 2)*(4 + 3 - 5) - 531 + 49 - 82)*(-2 + 1 + 0)*(3 - 2 - 2) + 3*b - 3*b - 3*b to m + z*b and give z.
1115
Rearrange -28*u + 37 + 24 + 59 + 8 + 20*u to q + s*u and give q.
128
Rearrange (-13734 + 6856 + 6880 + 4056*a)*(0*a**2 + 2*a**2 - 3*a**2) to the form n*a**2 + t*a + l + i*a**3 and give n.
-2
Rearrange -421 + 1568*f**2 - 3146*f**2 + 1574*f**2 + 3128 to t*f**2 + u + a*f and give t.
-4
Rearrange (-4 + 4 - 5)*(-2*l**2 + l - l)*(-362*l**2 - 1090*l**2 - 318*l**2) - 2*l**4 - l**4 + 0*l**4 to the form j*l**3 + z + c*l**4 + o*l + t*l**2 and give z.
0
Express (-d - 3*d - d)*(292*d**2 + 1028708 - 1028708) in the form y*d**3 + v*d + f + g*d**2 and give y.
-1460
Express (-a - a + 0*a)*(-3683 + 1849 + 72*a**2 - 596*a**2 + 1837) as c*a**3 + m + t*a + w*a**2 and give c.
1048
Express 20*v + 357*v**2 - 19*v - 1490*v**2 as i + b*v**2 + z*v and give z.
1
Express (4*f + 1 - 3*f + 0*f)*(2693 + 1631 - 142 + 4020) in the form h*f + u and give h.
8202
Rearrange (-18*q + 125 - 125)*(2*q + 428 + 23*q + 96*q - 428) + 51*q - 10*q**2 - 51*q to z + l*q + r*q**2 and give r.
-2188
Express (4*q + 3*q + 2*q)*(5*q**2 - 4*q**2 + 3*q**2) - 38*q + 38*q + 17*q**2 - 5*q**3 as a*q + g*q**3 + y + k*q**2 and give k.
17
Rearrange 3567*h**3 - 89*h - 3562*h**3 - 61*h - 164*h to the form n + o*h + a*h**3 + z*h**2 and give a.
5
Rearrange -601 - 10949*v + 601 + 795*v to the form i*v + d and give i.
-10154
Rearrange 13 + 3*x**2 - 4 + x**2 - 169*x**3 + 183*x**3 to m*x**3 + z*x**2 + y*x + r and give r.
9
Rearrange 2885 - 47*v - 5726 + 80*v + 2880 + 98*v to the form j + i*v and give i.
131
Express -19*m + 14*m - 19*m + 173 - 9*m + 0*m as o*m + u and give o.
-33
Rearrange 26 - 31337*d + 62681*d + 0*d**2 - 107*d**3 - 31345*d + 0*d**2 to o*d + w*d**3 + p + f*d**2 and give p.
26
Rearrange (734 - 825 - 844)*(4 - 6*p - 4 + (0 + 3 - 5)*(-p + 3*p - p)) to s*p + b and give s.
7480
Rearrange -103*i + 14148 - 7094 - 7081 - 9*i to f + n*i and give f.
-27
Express 6*c**4 + 14*c**2 + 14*c**3 - 6734 + 6734 as x*c**4 + p + y*c**3 + o*c + u*c**2 and give x.
6
Express -2*y**2 + 57*y - 44*y**3 + 29*y**4 + 43*y**3 - 84*y as x*y + j*y**3 + i + q*y**4 + k*y**2 and give k.
-2
Express -368*d + 12 - 2*d**3 - 27 + 17 as s*d**3 + k + b*d**2 + l*d and give l.
-368
Express 2*z + 342 - 558 + 275 + 344 in the form l*z + x and give l.
2
Rearrange 31518 + 3*l**3 - 4*l**4 - 31517 + 74*l**2 + 3*l**4 - 43*l**2 + 39*l**2 to the form q*l**2 + n*l**4 + v + m*l + b*l**3 and give n.
-1
Rearrange 2*m**4 + 11285*m**3 - m**2 + 2 - 53*m - 11291*m**3 + 10*m + 0*m**4 + 2*m**2 to v*m**4 + n + t*m**3 + w*m + k*m**2 and give k.
1
Express 18008 - 9019 - 8989 - 43460*k**2 + (0*k - 2*k + 3*k)*(5*k - 2*k - 4*k) as i*k**2 + s*k + j and give i.
-43461
Express -2949 + 1485 + 1492 - 27*t as n + v*t and give v.
-27
Express (3*c**2 - c**2 - 4*c**2)*(5*c + c - 4*c) - c**3 + c**3 - c**3 + 205*c**3 - 202*c**3 + 1067*c**3 in the form d*c**3 + j*c**2 + y + l*c and give d.
1065
Express 99*k**2 + 0 + 17652*k + 0 - 17647*k as t*k + i*k**2 + s and give t.
5
Rearrange -54*x**2 - 54*x**2 - x + 3 - 67*x**2 + 2*x**4 + 162*x**2 - 3*x**3 to the form m*x**4 + z*x**2 + c + t*x + a*x**3 and give t.
-1
Express -275*v - v**2 + 99*v - 539 + 543 in the form o*v + u + q*v**2 and give q.
-1
Rearrange (2*t - 3*t + 2*t)*(-4146977 + 4146977 - 1954*t) to the form o + j*t + f*t**2 and give f.
-1954
Express (155 - 157*i - 155)*(1 + 22 - 12)*(7 + 13 + 9) as q*i + h and give q.
-50083
Rearrange 975*s + 6*s**2 - 5*s**2 + 5*s**2 - 3*s**2 - s**3 - 4*s**2 to the form c*s + g + y*s**2 + n*s**3 and give n.
-1
Rearrange (-2089*g**3 - 422374*g**2 - 2323*g**3 + 422376*g**2)*(-2 - 2 + 7)*(g + 0*g + g) to the form w*g + y*g**4 + z + p*g**2 + c*g**3 and give c.
12
Rearrange 21 - 31 - 214*y + 10 - 309*y**3 - 2*y**2 + 322*y**3 to the form l + b*y**3 + i*y + n*y**2 and give i.
-214
Express (-m**2 - 1 + 1)*(-2 + 3 - 2) - 2 - 3*m**2 + 2 - 20*m**2 - 45*m**2 + 20*m**2 in the form x*m**2 + y + f*m and give x.
-47
Express (-w**3 - 4*w**3 + 4*w**3)*(5577 + 6526 + 624) in the form q*w**2 + b*w + h*w**3 + n and give h.
-12727
Express (51*l + 23*l + 8*l)*(-6*l + 0*l + 2*l) - l**2 + 11*l - 11*l as n + b*l**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-48)
Simplify (k**3/k*k/k**(-2/9))**30/((k*k/(k/(k**(1/7)*k)*k)*k**(1/3))/(k**(-1/4))**(-23)) assuming k is positive.
k**(8479/84)
Simplify (((c**19*c/(c**(-1/30)*c))**(-1/13))**(2/3))**(-8) assuming c is positive.
c**(4568/585)
Simplify (h**(-9/2)/(h/((h**(2/15)*h)/h*h*h))*(h/(h/(h*h**(-2/7))*h))**(-4/21))**26 assuming h is positive.
h**(-21099/245)
Simplify ((m**(-38)*m*m*m**(-2/21)/m*m)/((m*m**(2/21))/m*m)**(2/39))**(-20) assuming m is positive.
m**(592160/819)
Simplify (((o**(-9)*o/(o/(o*(o**(-5/4)/o)/o)*o))**12)**(-15))**(-3/25) assuming o is positive.
o**(-1323/5)
Simplify ((c**(8/13))**(12/13)*c/c**(-3/20)*c**(-2/103))**(17/3) assuming c is positive.
c**(10053137/1044420)
Simplify ((b**(2/7))**17/(b/(b*(b**(15/8)/b)/b*b)*b*b/(b/(b/(b/(b/b**29))))))**(-17) assuming b is positive.
b**(-31161/56)
Simplify (j**(-3/7)/(j*j**8*j*j*j*j))**(-2/33)*(j/(j/j**(-3/4)))/j**(-2/11)*j**1*j**6 assuming j is positive.
j**(6695/924)
Simplify ((t/(t/(t*(t*t*t**(5/6)*t)/t))*t*t**4/t*t)/(t/t**1)**(-1/11))/(t*t**(-2/5)*t**5*t)**(-1/34) assuming t is positive.
t**(2302/255)
Simplify (j*j**(1/3)/j*j*j**(-1/14)*j*(j**(-1))**(-13/4))/(j*j*j/j**(-1/9)*j**(-1/21))**(2/13) assuming j is positive.
j**(2359/468)
Simplify ((z**(-2/13)/z)/z**(-8))**(2/3)/((z*z**2)**(-14/3))**(-9) assuming z is positive.
z**(-4736/39)
Simplify (j**(-2)*j*((j*j*j*j**(3/5)*j)/j)/j)**(-2/57)*(j*j**(2/5)*j)**3/((j*j/((j**(-3/11)*j*j)/j*j))/(j*(j*j*j*j**(1/12))/j*j)) assuming j is positive.
j**(137369/12540)
Simplify f**(-1/4)/(((f**(2/15)/f*f)/f*f)/f)*(f/(f*((f*f**(2/17))/f)/f))/f*f*(f*f**1)/f*f*((f**(-1)*f)/f)**(4/25)*(f**(1/5))**14 assuming f is positive.
f**(31309/5100)
Simplify (((h**(-2/5))**(2/41)/((((h**(7/6)*h)/h)/h)/((h*h**(-6))/h)))**(-29))**(-15/7) assuming h is positive.
h**(-31523/82)
Simplify (h*h**(-5/4))/h*h/h**(3/7)*h*(h/(h**(-2)*h*h))**13*(h**(-3)*h**(6/11))**(-12) assuming h is positive.
h**(13175/308)
Simplify (((w**4*w**0)/(w**1)**(9/2))**(-2/33))**(-23/2) assuming w is positive.
w**(-23/66)
Simplify (f**(-5)/(f/f**2))/((f*f**2/f*f)/((f/(f*f*(f**(1/6)/f)/f*f*f*f*f))/f))*(f*f/(f**(-5)/f)*f**(2/5))**(-3/13) assuming f is positive.
f**(-5111/390)
Simplify (x**(1/2)/x)**19*(x**(-2/7)/x)/(x**(1/5)*x)*(x**(-1)/(x**(-2/11)*x))**24 assuming x is positive.
x**(-42829/770)
Simplify (k**(3/5)/k*k**5/k*k)/(((k/(k**(-2/3)/k))/k)/k**5)*(k/(k/(k*k**(-2))*k))**36*(k*k*(k*k/((k/k**(1/4)*k)/k))/k)/(k**(2/7)*k) assuming k is positive.
k**(-26503/420)
Simplify (((r*r*(r*r**(9/4)/r)/r)/r**(1/4))/(r**(3/11)/(r*r*r/r**(-10))))**(23/5) assuming r is positive.
r**(3979/55)
Simplify ((w*w**(-1/30)*w**(-24)/w)/(w**(-33))**49)**(-18) assuming w is positive.
w**(-143367/5)
Simplify (k**1)**(-11)/(k**(-7)/k*k**2)*(k**(2/7))**(-17/2)/(k**(-2)*k/k**0) assuming k is positive.
k**(-45/7)
Simplify (((((z/((z**20/z)/z))/z*z)/z**18)**47)**(2/5))**(3/20) assuming z is positive.
z**(-987/10)
Simplify (k**1/(k/k**(-2/19)*k)*(k/k**0)**(-38))/((k**(-1))**(2/51)/((k/k**(2/13))/k*k*k*k/k**(1/5))) assuming k is positive.
k**(-2293907/62985)
Simplify ((((w/w**(1/5)*w)/w*w*w/(w**(-1/7)*w))/(w*w*w*w**(-1)*w*(w/w**1)/w))**(1/29))**(-24) assuming w is positive.
w**(48/1015)
Simplify ((s*s**(-1/2)*s)/s)/(s*s*s**5)*s**1/(s**(-7/3)/s)*(s/s**(1/5)*s*s)/((s*s/s**(-1/3)*s)/s)*(s**(2/9))**(10/7) assuming s is positive.
s**(-871/630)
Simplify ((q**3*q*q*q*(q/(q/((q*q**(-3))/q)*q))/q)/(q**(-1/4)/(q**(3/7)*q)))/(q**7*q**(2/9))**31 assuming q is positive.
q**(-55745/252)
Simplify ((z/(z*z*z*(z*z/z**(3/10)*z*z)/z)*z)/z*z**(-6)*(z**0)**(-15/8))/(z**(-1)/z*z*z*z**(-6)*(z*((z**(-2/7)/z)/z)/z*z)/(z/z**(2/5))) assuming z is positive.
z**(-197/70)
Simplify ((b/(b**(-1/7)*b*b)*b**(-5))/(b**1)**(14/9))/((b*(b*((b/b**1)/b*b)/b*b)/b)/b**(-3/5)*b*b**(-1/2)*b/b**(2/7)) assuming b is positive.
b**(-6443/630)
Simplify (k**(-7))**33/((k*k**(-19/6)*k)/k**12) assuming k is positive.
k**(-1307/6)
Simplify ((s**(-4/5)*s/(s/s**(-13)*s))/(s**(1/12)*s*s*s*(s*s/s**(-5/3)*s*s)/s*s))**20 assuming s is positive.
s**(-471)
Simplify (g**(1/3)/g**(-1))**(-10/3)*(((g/g**(-3/5))/g*g)/(g*g**1*g))**(-2) assuming g is positive.
g**(-74/45)
Simplify ((b/(b/((b**2*b)/b)))**(-1/11))**(-3/7)*(b/(b/b**(-10/3))*b**(-1/2))**35 assuming b is positive.
b**(-61949/462)
Simplify (m**(2/9)/((m*m**(-1/16))/m))/(m**4*m**(-1/11))*(m/(m*m**(6/11)*m*m))/m**(2/19)*m**(-5/6)*(m**1/m*m)/m assuming m is positive.
m**(-213935/30096)
Simplify ((y/(y/y**(-1)))**49)**(14/11)*((y**4*y)/y*y**(-3)*y)/(y**0)**34 assuming y is positive.
y**(-664/11)
Simplify g**(2/3)*g**(-5)*(g*g**(3/5))/g**(-1/8)*(((g/(g*(g/(g*g**(2/13))*g)/g*g))/g)/((g**(-3/2)/g)/g))**(28/9) assuming g is positive.
g**(11873/4680)
Simplify (((k/(k*k**(-5/4)*k))/((k**(-15/4)/k)/k*k))**48)**(-17) assuming k is positive.
k**(-4080)
Simplify ((s**4)**(3/17)*((s**(-14)/s)/s)/(s/s**(2/27)))**(-5/6) assuming s is positive.
s**(37225/2754)
Simplify ((v**0)**(1/11)/((v/(v/(v*v**(-26))))/(v*v/((v/(v/v**9*v*v*v)*v)/v)*v)))**(-44) assuming v is positive.
v**(-968)
Simplify ((p*p/p**(-25))/p**(2/7)*(p/((((p*p/(p**14/p))/p)/p)/p*p))**5)**(-11/6) assuming p is positive.
p**(-7447/42)
Simplify (((((o*o/((o*o*o**(1/13)*o)/o)*o)/o)**(1/27))**(-10))**(1/3))**37 assuming o is positive.
o**(370/1053)
Simplify ((t**(2/5))**(-5)/(t**0*t**(-2/3)))/(t**7/((t/t**5)/t)*t**(3/8)*t*t*t**(-6/5)) assuming t is positive.
t**(-1741/120)
Simplify (((h**(2/3)/h*h*h)/h)**(8/7)/(h*h**(-6/5)*h*h*h**(-2/23)))**4 assuming h is positive.
h**(-9188/2415)
Simplify (z**(1/6)*(((z/z**(2/13))/z)/z)/z*z)/(z*((z**(-37)*z)/z)/z)**2 assuming z is positive.
z**(5695/78)
Simplify (((k**3*k)/k)/k*k**7*(k**(2/5))**(-16))/((k**(-1/2))**(-29)/(k/((k**(-5)*k)/k)*k*k*k**(-3/4))) assuming k is positive.
k**(-93/20)
Simplify ((s*s*s**(-34))**(-29)/(s*(s/(s*s**24*s))/s*s*s/s**(-41)*s))**(4/5) assuming s is positive.
s**(3636/5)
Simplify ((r/(r/(r/r**(-1/2)*r*r)))**(-38)/((r*r**(5/3))/r*r**2*r))/(((r*r*r**(-6)*r*r)/(r/r**(-1/3)*r))/(r/r**(-1))**(2/69)) assuming r is positive.
r**(-9196/69)
Simplify ((u/u**(-1))**28)**(1/86)/(u**8*u**3*u*u**(-2/31)*u*u**(-2/5)) assuming u is positive.
u**(-79209/6665)
Simplify (b**(-4)/b*b**(-1/4))**(43/3)*(b**(-2/3)/b*b)**(-7)/(b/(b/(b*b**3))*b**2) assuming b is positive.
b**(-919/12)
Simplify (((u/u**(1/3))/u)**(-26)*(u**1/u)**(-48))/((u**(-1/3))**(-1/41)/(u**(2/7))**(-2/147)) assuming u is positive.
u**(365131/42189)
Simplify ((d/d**(2/11))**42*(d**0)**(-18/7))**(-47) assuming d is positive.
d**(-17766/11)
Simplify ((i*i/(i*i*i*i/(i/i**(-2/9))*i)*i**7*i)/((i/((i/i**(-7))/i*i)*i)/i**(-1/2)))/((i**(-7/2)/i)/(i**(-1/13)*i))**35 assuming i is positive.
i**(23579/117)
Simplify (d**30*d/(d**(-2/59)/d))/(d*d**(-28)*d)**(-1) assuming d is positive.
d**(356/59)
Simplify (r**(-6)/(r*r**11)*r/((r*r**(-13))/r)*r**8)**(-6/11) assuming r is positive.
r**(-24/11)
Simplify ((j*j*j*j*j*j*j/(j*j/(j/j**(5/4))*j)*j*j*j/((j*j**(2/3)*j)/j))/(j*j/j**1)**(-30/11))/((j*j*j**(-2/5))**(-12))**(1/2) assuming j is positive.
j**(11491/660)
Simplify (b**1)**(1/12)/(b/b**(-2))**5*((b**(-2/5)*b)/b)/b*b**(-2/5)*b*b**7/b*b*b*b/(b/(b*b*b**(-3/4))) assuming b is positive.
b**(-97/15)
Simplify (((y**(2/5))**(1/14)*(((y**4*y)/y)/y*y*y)/y**(-7))**(-1/51))**(27/5) assuming y is positive.
y**(-3789/2975)
Simplify (((f**(-6)*f)/f**(7/6))/(f*f**(-2/77)*f/f**(-2/43)))**44 assuming f is positive.
f**(-325294/903)
Simplify ((s**7/(s*s**(-2/5)*s))/(s**(-3/8)*(s*s/(s*s*s*s/s**2))/s))/((s*s/(s/s**(2/37)))/(s**(5/4)*s))**(-2) assuming s is positive.
s**(6487/1480)
Simplify ((y**(-4/5)*y**(-2/15))/(y**(-4)*(y/(y**(2/7)*y))/y*y))/((y**(-2/5))**(-37)*((y*y*y**(-2/5))/y)**(-29)) assuming y is positive.
y**(125/21)
Simplify (b**11/(((b*b**(2/25)*b)/b)/b))**(-2/9)*(b**(7/2)/((b*b/(b*b**8)*b)/b))/(b**1*(((b**8/b)/b*b)/b)/b) assuming b is positive.
b**(311/150)
Simplify ((m*m/((m/m**(-3/10))/m)*m*m/(m*m*(m/(m*(m/m**(2/21))/m))/m*m))/(m/((m**(8/11)*m)/m)*m**20/m*m))**7 assuming m is positive.
m**(-43123/330)
Simplify (x/(x**6/x)*(x*x**(-3/5))/x*(x/((x*x**(-1)*x)/x*x)*x)**(-20))**(2/99) assuming x is positive.
x**(-82/165)
Simplify ((n*n*n**2/n*n)**(4/5)*n/n**(2/9)*n**(-5))/(((n/n**(3/4))/n**(-1/2))/((n*n**(2/5)*n)/n**(-7))) assuming n is positive.
n**(1373/180)
Simplify ((q/(q**7/q))/q*q*q**(8/7)/q)/(q
|
{
"pile_set_name": "DM Mathematics"
}
|
*6/360 + c**3/6 + 2*c**2. Let u(k) be the first derivative of v(k). Find the third derivative of u(n) wrt n.
120*n**2
Suppose 7*p + 5 - 5 = 0. Let d(l) be the second derivative of 0 + 2*l + 1/6*l**3 + 0*l**4 - 1/5*l**5 + p*l**2. Find the second derivative of d(v) wrt v.
-24*v
Let c(b) = -48*b + 21. Suppose -l - 10 = -6*l. Let x(u) = 1 + l - 5*u - 2*u. Let j(g) = 4*c(g) - 27*x(g). Find the first derivative of j(h) wrt h.
-3
Suppose 4*b + 8 = 8*b. What is the second derivative of -3*f + 2*f**2 - 5*f**b + 0*f wrt f?
-6
Suppose m = -4 + 6. Let p be 92/22 - 4/22. Differentiate p*w**2 - 1 - 3*w**m - 2*w**2 with respect to w.
-2*w
Let u be 2/10 + (-52)/10. Let k = -3 - u. What is the second derivative of 0*f**2 + f**k - f - f - 2*f**2 wrt f?
-2
Let o = 4 + -4. Suppose o = u - 2 - 1. What is the derivative of -2*f**u - 1 + 5*f - 5*f wrt f?
-6*f**2
Find the second derivative of 0*c + c**3 - 4*c**3 + 2*c wrt c.
-18*c
Let u(y) be the third derivative of -1/3*y**3 + 0*y**4 - 1/30*y**5 + 0 - y**2 + 0*y. Differentiate u(v) with respect to v.
-4*v
Let t(n) be the second derivative of 1/4*n**4 + 0 + 2/15*n**6 + 0*n**2 + 0*n**5 + 0*n**3 + 2*n. Find the third derivative of t(x) wrt x.
96*x
Let x(r) = -7*r**3 - 2*r + 5. Let m(a) = -6*a**3 - 3*a + 4. Let c(n) = -2*m(n) + 3*x(n). Differentiate c(h) with respect to h.
-27*h**2
Let t(i) be the first derivative of -18*i**5/5 + 14*i**3/3 + 39. What is the third derivative of t(l) wrt l?
-432*l
Suppose -4*x = -2 - 6. Let r be 3/2 + 3/x. Find the second derivative of r*f + 3*f**2 + 2*f - 3*f wrt f.
6
What is the derivative of -3 + 4 - 7 - b**2 - 3*b**2 wrt b?
-8*b
Suppose 0*k + 2*k = 4. Find the second derivative of t + 0*t + t**5 + 4*t - k*t wrt t.
20*t**3
Let s(r) be the second derivative of -r**6/6 - 4*r**3/3 + 9*r. What is the second derivative of s(c) wrt c?
-60*c**2
Let w(t) = -t**3 - 5*t**2 - 4*t + 4. Let p be w(-4). What is the second derivative of -3*z - 2*z**p + 0*z**4 + z wrt z?
-24*z**2
Let h(b) be the second derivative of -b**4/12 + 4*b**2 + 5*b. Differentiate h(v) with respect to v.
-2*v
Let y(z) = -z**3 + z**2 - z + 1. Let x(u) = 38*u**4 + 4*u**3 - 24*u**2 + 4*u - 4. Let b(i) = x(i) + 4*y(i). Find the third derivative of b(v) wrt v.
912*v
Let j(g) be the first derivative of -15*g**4/4 + 11*g**3/3 - 12. What is the third derivative of j(y) wrt y?
-90
Let f(s) be the third derivative of s**4/24 + 7*s**3/6 - 2*s**2. Let y be f(-5). Find the third derivative of -m**5 + 2*m**y - 4*m + 4*m wrt m.
-60*m**2
Let p be 1 + -1*1*-2. Let m be ((-3)/(-2))/(p/6). Differentiate -2 + 0 - 2*n**m + 3 with respect to n.
-6*n**2
Let m = 4 + 4. What is the first derivative of 7 + 5*a**4 - 4*a**4 + m*a**4 wrt a?
36*a**3
Let c(b) = -1. Let w(g) = 3*g**2 - 5*g - 3. Let o(m) = 6*c(m) - 2*w(m). Find the second derivative of o(t) wrt t.
-12
Let l(v) be the second derivative of -3*v**7/7 - 5*v**4/3 + 13*v. What is the third derivative of l(k) wrt k?
-1080*k**2
Let q(k) be the first derivative of -k**7/840 - k**6/120 + k**3/3 - 1. Let r(o) be the third derivative of q(o). Find the third derivative of r(j) wrt j.
-6
Let d = 21 - -4. Differentiate g**4 - 25*g**3 + 5*g**4 + 6 + d*g**3 with respect to g.
24*g**3
What is the derivative of 3 - 1 - 3 - 2*t**3 - 2*t**3 wrt t?
-12*t**2
Let y(a) = 66*a - 144. Let i(m) = -5*m + 11. Let r(k) = -27*i(k) - 2*y(k). Differentiate r(n) wrt n.
3
Let c(a) = a**5 + 3*a**3 - 3*a**2 + 18*a - 3. Let u(s) = s**3 + s**2 + 1. Let g(m) = c(m) + 3*u(m). What is the second derivative of g(b) wrt b?
20*b**3 + 36*b
Find the second derivative of -3*y**2 + 2*y**2 - 4*y**2 + 2*y + 4*y**2 wrt y.
-2
Let x(h) be the first derivative of h**2/2 + 4. Let k be x(0). What is the second derivative of k*m**4 - m - m**4 + 2*m**4 - m wrt m?
12*m**2
Let a(y) = 8*y**4 + 13*y**3 - y**2 + 13. Let c(d) = 2*d**4 + 3*d**3 + 3. Let v(h) = 6*a(h) - 26*c(h). What is the third derivative of v(z) wrt z?
-96*z
Suppose -2*t + 1 = -t. What is the derivative of 3*x - 7*x + t + x wrt x?
-3
Let j = 2 + -1. Suppose -5*w - 4*n + 25 = 0, -5*n + 7 = -3*w - 3*n. Differentiate j + w - 3*i**3 + 3 with respect to i.
-9*i**2
Let o(s) = -4*s**3 - 2*s**2 + 4*s. Let x(c) = -c**2 - c. Let b(q) = -3*o(q) - 12*x(q). Find the third derivative of b(d) wrt d.
72
Let n be (8/(-14))/((-2)/7). Find the third derivative of 9*f**4 + 5*f**2 + 7*f**4 + 0*f**n - 8*f**4 wrt f.
192*f
Let q = 11 - 17. Let z be (-2)/q - (-15)/9. What is the third derivative of -y**z + y**3 - y**2 + y**2 wrt y?
6
Let u be (-1 + (-8)/(-2))*-1. Let s(p) = 2*p**2 + 5*p + 2. Let b be s(u). Find the third derivative of -3 - d**b - 2*d**2 + 3 wrt d.
-60*d**2
Let b(i) = -3*i**3 - 7 + 6*i**3 + 0*i**3 - 3*i**4 + 3*i. Let n(a) = 3*a**4 - 4*a**3 - 4*a + 8. Let c(m) = 4*b(m) + 3*n(m). What is the derivative of c(u) wrt u?
-12*u**3
Let t(j) be the first derivative of j**7/280 - j**6/360 + 2*j**3/3 + 2. Let d(u) be the third derivative of t(u). What is the third derivative of d(r) wrt r?
18
Let n(c) be the first derivative of 0*c**2 - 2/3*c**3 - 2*c + 2. What is the first derivative of n(h) wrt h?
-4*h
Let k(i) = 23*i**2 + 4*i + 8. Let g(m) = 22*m**2 + 3*m + 7. Let b(a) = -4*g(a) + 3*k(a). What is the derivative of b(f) wrt f?
-38*f
Suppose -l + 4 = -2*l. Let v = l - -6. What is the third derivative of 0*a**3 + 0*a**2 + 2*a**v + 2*a**3 wrt a?
12
Suppose 0 = 2*r + a + 29, -5*r = -0*r - a + 55. Let k be r/30 + 22/5. What is the second derivative of -3*g**k + 4*g - 5*g + 4*g**4 wrt g?
12*g**2
Let n = 0 + -9. Let x(o) = -o**2 - 10*o - 5. Let b be x(n). Find the third derivative of -2*p**2 - p**b + 2*p**4 + 4*p**2 - 4*p**4 wrt p.
-72*p
Let u(p) be the first derivative of -4*p**5 - 4*p**2 + 30. What is the second derivative of u(k) wrt k?
-240*k**2
Let o(j) = -j**2 + j + 2. Let m be o(2). Differentiate m + 0 + 3*d**3 - d**3 - 3 wrt d.
6*d**2
Let n(p) be the third derivative of 7*p**6/120 - 5*p**3/2 - 10*p**2. What is the derivative of n(z) wrt z?
21*z**2
Let f(h) be the first derivative of -13*h**5/5 - 3*h**2 - 3. What is the second derivative of f(x) wrt x?
-156*x**2
Suppose 7 = -3*q + 22. Find the second derivative of -3*k**q + 2*k - 4*k - k + k wrt k.
-60*k**3
Let m be (((-15)/10)/(-3))/15. Let i(f) be the third derivative of -f**2 + 0*f**4 + 0 + 0*f + 1/6*f**3 + m*f**5. What is the first derivative of i(c) wrt c?
4*c
Let r(o) = -17*o**3 + 18*o**2. Let i(n) = n**3 - n**2. Let k(y) = 5*i(y) - r(y). What is the third derivative of k(p) wrt p?
132
Let n(d) be the third derivative of -1/4*d**4 - d**2 + 0*d**3 + 1/12*d**5 + 0 + 0*d. What is the second derivative of n(b) wrt b?
10
Let m(h) be the first derivative of 2*h**3/3 - 2*h**2 + 21*h + 59. What is the derivative of m(a) wrt a?
4*a - 4
Find the second derivative of 3*c**5 + 2*c**5 + 6*c + 8*c - 3*c wrt c.
100*c**3
Let q(x) be the second derivative of -x**4/4 + 7*x**2 - 11*x. Find the first derivative of q(f) wrt f.
-6*f
Suppose 5*g - 32 + 12 = 0. What is the third derivative of -5*m**2 + 4*m**2 + 4*m**g - 3*m**4 wrt m?
24*m
Let i(t) be the third derivative of t**9/56 - t**5/6 + 16*t**2. What is the third derivative of i(r) wrt r?
1080*r**3
Let w(p) = 3*p**2 + 2. Let j(n) = -1 - 20*n**2 + 11*n**2 + 8*n**2. Let m(g) = -17*j(g) - 6*w(g). Find the first derivative of m(a) wrt a.
-2*a
Let b = 10 - 8. Differentiate p**2 + 5*p**2 - 1 - 4*p**2 + b wrt p.
4*p
What is the third derivative of j**2 - 5*j**3 + 2*j**2 - 27*j**2 - j**3 wrt j?
-36
Let x(z) = 3*z + 17. Let q(l) = 4*l + 25. Let s(a) = 5*q(a) - 7*x(a). Differentiate s(c) wrt c.
-1
Suppose -3*w = o - 0*w - 18, 3*o = w + 14. Suppose 0*s = -2*s - 2, 2*d - o = -2*s. Find the second derivative of d*v - 4*v - v**3 - v wrt v.
-6*v
Let t(l) be the second derivative of 3/2*l**2 + 0 + 0*l**5 - 3*l + 0*l**4 + 1/10*l**6 + 0*l**3. Find the first derivative of t(m) wrt m.
12*m**3
Let j(y) = 4*y**2. Let n be j(-1). Find the first derivative of x + 3 + n*x + 6 wrt x.
5
What is the derivative of 5 - w + 0*w - 7*w wrt w?
-8
Suppose -12 = -2*v - 2*v. What is the derivative of q**3 - q**v - 4 - 3*q**4 + 1 wrt q?
-12*q**3
Let g(u) be the first derivative of 2*u**5/5 + u**3/2 + 3*u - 8. Let f(h) be the first derivative of g(h). Find the second derivative of f(k) wrt k.
48*k
Let f(g) = g + 1. Let s(z) = 2 + 2*z + 2 - 3. Let r(y) =
|
{
"pile_set_name": "DM Mathematics"
}
|
90. Give d(-49).
6
Let g(f) = 12686*f - 12696. What is g(1)?
-10
Let y(j) = 1509*j + 48295. Give y(-32).
7
Let t(p) = 61*p**2 + 1066*p + 58. Calculate t(-16).
-1382
Let k(h) = 3*h**3 - 250*h**2 + 125*h - 3505. Give k(83).
-19
Let l(q) = -q**2 + 274*q - 4066. Calculate l(259).
-181
Let r(z) = 2*z**3 - 67*z**2 + 85*z + 458. Determine r(32).
106
Let d(r) = 10*r**2 + 21880*r - 665390. Give d(30).
10
Let v(r) = -19*r**2 + 9*r + 311. Give v(5).
-119
Let w(f) = -f**3 - 42*f**2 + 305*f + 7903. Calculate w(-45).
253
Let a(t) = -68*t**2 + 4086*t - 4086. Give a(1).
-68
Let w(f) = 79*f + 7918. Calculate w(-108).
-614
Let i(x) = -535*x**2 + 3786*x + 3. Calculate i(7).
290
Let k(b) = -2*b**3 + 46*b**2 + 125*b + 5. Determine k(25).
630
Let x(z) = 3*z**2 + 4639*z + 46143. What is x(-10)?
53
Let o(f) = 2*f**3 + 56*f**2 - 481*f + 3430. What is o(-36)?
10
Let h(s) = -4942*s**2 - 301463*s - 55. Determine h(-61).
6
Let y(v) = -2*v - 2365. Determine y(187).
-2739
Let c(r) = -6*r**2 - 402*r + 363. Calculate c(-68).
-45
Let k(b) = -b**3 - 5*b**2 + 704*b - 2059. Determine k(3).
-19
Let o(b) = -37433*b + 187374. What is o(5)?
209
Let h(m) = 3*m**2 + 3244*m - 39316. Determine h(12).
44
Let a(b) = 5254*b**2 + 47289*b + 27. Calculate a(-9).
0
Let f(n) = n**2 - 2*n - 898. Calculate f(41).
701
Let b(c) = 24868*c + 3531253. Give b(-142).
-3
Let r(w) = w**3 - 8482*w**2 + 67788*w + 28. Determine r(8).
-4
Let w(h) = -h**3 + 434*h**2 - 9057*h - 146. Determine w(22).
8
Let x(r) = -221*r - 650. Give x(-3).
13
Let x(m) = 190*m**2 + 13824*m - 3366. What is x(-73)?
-8
Let l(f) = 112300*f - 112327. Give l(1).
-27
Let n(y) = -y**3 + 758*y**2 - 6654*y - 65174. Give n(749).
-11
Let g(y) = 48*y - 1035. Determine g(25).
165
Let p(j) = 238*j**2 - 938*j - 54. What is p(4)?
2
Let r(l) = 3069397*l - 24555163. What is r(8)?
13
Let h(m) = 54235*m + 1030473. Determine h(-19).
8
Let z(d) = 39*d**2 - 487*d + 2455. Calculate z(5).
995
Let q(m) = -130*m + 3620. Calculate q(18).
1280
Let k(w) = w**2 + 558*w - 12942. Calculate k(24).
1026
Let c(v) = -59*v**3 + 8*v**2 + 9*v - 5. Determine c(-3).
1633
Let x(f) = -77264*f + 1467966. Give x(19).
-50
Let o(k) = 1321*k**2 - 6624*k + 99. What is o(5)?
4
Let n(s) = -795*s**2 + 11078*s + 668. Determine n(14).
-60
Let o(y) = 2*y**2 + 369*y + 5125. Calculate o(-170).
195
Let z(r) = -32*r**2 + 32097*r - 1010. Calculate z(1003).
-7
Let q(p) = -7*p**2 + 922*p - 9046. Calculate q(121).
29
Let m(t) = 3*t**3 + 446*t**2 - 1990*t - 343. What is m(-153)?
-190
Let c(r) = 60*r**2 - 19303*r - 5459. What is c(322)?
15
Let q(n) = -718*n**2 - 7088*n + 31. Calculate q(-10).
-889
Let b(j) = -861*j - 5413. Calculate b(-8).
1475
Let o(n) = -4*n**2 + 675*n + 266599. Determine o(356).
-45
Let z(p) = 9*p**2 - 1287*p + 239. Calculate z(143).
239
Let p(q) = -q**2 - 213*q + 1493. What is p(7)?
-47
Let s(c) = -46*c**2 - 283*c - 3098. What is s(-12)?
-6326
Let f(p) = p**3 + 109*p**2 - 2110*p + 3930. What is f(-126)?
-102
Let h(g) = 2*g**3 - 13*g**2 + 3682*g - 22053. Calculate h(6).
3
Let u(b) = -b**3 - 39*b**2 + 12708*b + 449675. Calculate u(-35).
-5
Let l(i) = -i**3 + 33*i**2 + 69*i - 209. Determine l(35).
-244
Let s(l) = -15876*l + 142895. Give s(9).
11
Let s(o) = -6581*o + 38789. Determine s(6).
-697
Let y(l) = l**3 + 187*l**2 + 377*l + 1240. Give y(-185).
-55
Let k(x) = -49293*x - 18090541. Calculate k(-367).
-10
Let w(i) = -i**3 - 49*i**2 + 459*i + 82. What is w(-57)?
-89
Let u(x) = 10*x**2 + 586*x + 430. What is u(-59)?
666
Let d(b) = -598*b - 4234. What is d(-6)?
-646
Let w(y) = -y**3 + 779*y**2 - 12197*y - 182. Give w(16).
-6
Let q(g) = -6*g**2 + 416*g - 4866. Give q(43).
1928
Let p(o) = 9*o**3 - 11*o**2 - 80*o + 64. Give p(4).
144
Let h(f) = -f**3 + 390*f**2 - 1896*f - 11159. What is h(385)?
6
Let l(n) = -n**2 - 80*n - 125. What is l(-56)?
1219
Let u(k) = -32429*k - 1167436. Determine u(-36).
8
Let h(d) = -6504*d + 279663. Determine h(43).
-9
Let f(v) = 21*v**2 + 172*v + 312. Determine f(-4).
-40
Let u(a) = 40*a**3 + 31*a**2 - 50*a + 4. What is u(2)?
348
Let w(z) = -54488*z + 68600396. Calculate w(1259).
4
Let l(z) = 1421*z - 615. Calculate l(0).
-615
Let o(f) = 35*f**2 - 504*f - 4131. Give o(-8).
2141
Let s(t) = 16*t**2 + 105*t - 269. Give s(2).
5
Let j(i) = -i**2 + 116354*i + 698166. Determine j(-6).
6
Let u(q) = -32094*q - 1668882. Give u(-52).
6
Let t(x) = 8*x**3 - 2*x**2 - 20*x + 26. Give t(4).
426
Let v(s) = 27*s**3 + 13*s**2 - 65*s + 38. Determine v(3).
689
Let l(a) = 92*a - 2007. Calculate l(17).
-443
Let x(c) = 22*c**2 - 610*c + 433. Give x(27).
1
Let p(y) = -11*y**2 - 76*y + 1816. What is p(-19)?
-711
Let n(a) = 6*a**3 - 351*a**2 + 838*a + 346. Give n(56).
234
Let g(c) = -c**3 + 46*c**2 - 683*c + 31002. Determine g(46).
-416
Let m(b) = 301*b**2 + 33713*b + 189. Give m(-112).
77
Let l(d) = 8890*d**2 - 53342*d + 93. Calculate l(6).
81
Let b(l) = 3904*l - 175670. Give b(45).
10
Let l(n) = -37670*n - 489727. Determine l(-13).
-17
Let t(g) = 2402*g + 135534. What is t(-56)?
1022
Let d(r) = -2*r**2 + 820*r + 6693. Determine d(-8).
5
Let k(z) = -1301081*z + 26021619. Determine k(20).
-1
Let y(f) = -2*f**2 - 708*f - 23244. Give y(-35).
-914
Let y(p) = -1327*p + 17221. Calculate y(13).
-30
Let i(u) = -u**3 + 60*u**2 - 592*u + 23961. Give i(57).
-36
Let m(r) = r**3 + 337*r**2 + 726*r + 18753. What is m(-335)?
-7
Let n(f) = -1844*f - 195078. Give n(-106).
386
Let x(b) = -2*b**3 - 75*b**2 + 19*b - 713. Determine x(-38).
9
Let g(u) = -u**3 - 33*u**2 + 301*u + 8096. Give g(-22).
-3850
Let p(l) = -9763*l - 244061. Calculate p(-25).
14
Let x(l) = -198*l - 2270. Determine x(-8).
-686
Let k(f) = 37*f**3 - 668*f**2 + 87*f - 1084. Determine k(18).
-166
Let l(o) = -29088*o - 1512590. What is l(-52)?
-14
Let d(y) = -y**2 + 101*y + 20058. What is d(201)?
-42
Let i(d) = -8*d**2 + 8*d + 498. Calculate i(18).
-1950
Let y(z) = -2*z**3 + 72*z**2 + 68*z + 105. Determine y(37).
-117
Let o(w) = -22*w**2 + 244*w + 252. Determine o(12).
12
Let k(t) = 1395162*t + 12556462. Give k(-9).
4
Let n(c) = 3*c**2 + 95*c + 768. Give n(-11).
86
Let s(o) = 3658*o + 417009. Determine s(-114).
-3
Let b(l) = -149*l**2 + 1939*l - 1774. Determine b(1).
16
Let m(c) = c**3 + 18*c**2 - 11*c - 9. Calculate m(-18).
189
Let m(n) = -2*n**3 - 9*n**2 + 9178*n + 72971. Give m(-8).
-5
Let i(d) = -2*d**2 + 1332*d + 30254. Calculate i(-22).
-18
Let q(o) = -15458*o + 77249. Give q(5).
-41
Let d(v) = 16*v**2 - 434*v + 2658. What is d(9)?
48
Let n(s) = -2305*s - 35887. Give n(-15).
-1312
Let a(x) = -38436*x**2 + 2152416*x - 2. Calculate a(56).
-2
Let u(y) = 32638*y + 358982. Calculate u(-11).
-36
Let p(v) = 2*v**3 + 10*v**2 + 3250*v + 19492. Calculate p(-6).
-80
Let c(q) = -159*q**2 + 234*q + 21. Give c(-2).
-1083
Let r(l) = -5*l**2 + 1623*l + 12288. Calculate r(332).
4
Let f(b) = -b**3 + 49*b**2 + 455*b - 12888. What is f(53)?
-9
Let w(f) = -66*f**3 + 35638*f**2 + 1080*f + 184. Give w(540).
184
Let h(o) = -13*o**2 + 178*o + 153. What is h(14)?
97
Let i(q) = 94*q**3 + q**2 - 878*q - 2634. Calculate i(-3).
-2529
Let b(j) = -2*j**2 - 7780*j + 417968. Calculate b(53).
10
Let t(i) = i**3 - 163*i**2 + 175*i - 1282. Calculate t(162).
824
Let j(m) = 3*m**3 - 115*m**2 - 38*m + 154. What is j(37)?
-6728
Let u(v) = -2*v**2 - 6626*v - 229461. Give u(-35).
-1
Let p(l) = 174*l**3 - 4*l**2 + 222*l - 432. Calculate p(2).
1388
Let r(j) = -206*j**2 - 2822*j - 27. What is r(-13)?
1845
Let a(g) = -g**3 - 13*g**2 + 319*g + 109. Give a(13).
-138
Let n(i) = 58*i**2 - 10242*i + 5952. Give n(176).
-32
Let c(s) = -s**3 - 127*s**2 - 211*s + 4920. What is c(-125)?
45
Let t(k) = 273*k**2 + 362*k - 8. Determine t(-3).
1363
Let z(y) = -13*y**2 - 62*y - 130. Calculate z(-3).
-61
Let v(k) = -1326*k + 79548. What is v(60)?
-12
Let n(t) = -t**3 - 45*t**2 + 204*t - 90. What is n(-49)?
-482
Let k(r) = 2*r**3 + 31*r**2 - 88*r - 305. Give k(-15).
1240
Let c(w) = -96116*w - 288327. Give c(-3).
21
Let j(p) = -487*p**2 - 31209*p - 2617. Calculate j(-64).
7
Let g(y) = -18*y**2 + 380*y + 4970. Calculate g(-13).
-3012
Let y(d) = -13762*d - 82645. Give y(-6).
-73
Let a(d) = d**3 + 13*d**2 - 355*d - 4796. Determine a(-14).
-22
Let d(f) = -146*f**2 + 24657*f + 24658. Determine d(-1).
-145
Let t(l) = l**2 + 658*l + 72512. Determine t(-140).
-8
Let t(y) = 2*y**3 + y**2 - 15*y + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
15
Let t = -1 + 5/4. Let u be 84/(-12) + (-1 - -9) - (-9)/(-12). Factor -u*x - t*x**2 + 0.
-x*(x + 1)/4
Let j = -94739/4368 + 282/13. Let d(f) be the third derivative of -5*f**2 + 0*f**4 - 1/105*f**7 + 0 + 0*f**3 + 0*f**5 + j*f**8 + 0*f + 1/120*f**6. Factor d(p).
p**3*(p - 1)**2
Suppose -74*s - 3 = -75*s. Let -4*y - 4*y**s - 18*y**4 - 25*y**3 - 4*y**5 - 18*y**2 + y**3 = 0. Calculate y.
-2, -1, -1/2, 0
Let v(k) be the third derivative of -1/224*k**8 + 1/16*k**4 + 0*k + 0*k**6 + 0*k**3 - 12*k**2 - 1/20*k**5 + 0 + 1/70*k**7. Factor v(s).
-3*s*(s - 1)**3*(s + 1)/2
Let j(a) be the third derivative of -a**7/315 + a**5/30 + a**4/18 + 20*a**2 - 4. Factor j(t).
-2*t*(t - 2)*(t + 1)**2/3
Factor 0 + 12/17*q**3 + 16/17*q**2 - 2/17*q**5 + 0*q**4 + 6/17*q.
-2*q*(q - 3)*(q + 1)**3/17
Let d = -5 - -14. Suppose -2*g + 15 = d. Determine j so that 3/5*j**4 - 3/5*j**5 + 9/5*j**3 + 6/5*j + 0 - g*j**2 = 0.
-2, 0, 1
Let x(h) be the second derivative of -h**7/21 + h**6/15 + h**5/2 - h**4/6 - 8*h**3/3 - 4*h**2 - h + 15. Determine f so that x(f) = 0.
-1, 2
Let x = -7389 - -7393. Suppose 3/2*j + 0*j**3 + 0 - 3/4*j**x + 9/4*j**2 = 0. Calculate j.
-1, 0, 2
Let w(h) be the first derivative of 3/5*h**3 + 0*h**2 + 0*h - 3/20*h**4 + 6. Find i, given that w(i) = 0.
0, 3
Let h = 5372 + -5370. Find y, given that -12/7*y + 1/7*y**h + 36/7 = 0.
6
Let b = -13 - -16. Suppose 0 = -4*y + 2*y - 2, -5 = -2*a - b*y. Solve -2*s**3 - 4*s**2 + a + 0 + 0*s**3 + 2*s = 0.
-2, -1, 1
Factor -148955/3*j - 5/3*j**4 + 0 - 155*j**3 - 4805*j**2.
-5*j*(j + 31)**3/3
Let a(h) be the third derivative of 5*h**8/504 + 67*h**7/945 + 101*h**6/540 + 19*h**5/90 + h**4/27 - 4*h**3/27 - 24*h**2 + h. Suppose a(f) = 0. What is f?
-2, -1, -2/3, 1/5
Let k = 2049/100 - 506/25. Let -t + k*t**2 + 1 = 0. What is t?
2
Let g(w) be the second derivative of 3*w**5/20 - 2*w**4 + 5*w**3/2 + 75*w**2 - 37*w. Factor g(q).
3*(q - 5)**2*(q + 2)
Let c(b) = b**2 + 6*b + 7. Let f be c(-5). Suppose 0 = 3*a + 5*y - 11, f*y - 4 = -4*a + 6*y. Find i, given that -6 - 4*i - 2/3*i**a = 0.
-3
Factor -21*t + 1744748 - 1744748 + 3*t**3 + 18*t**2.
3*t*(t - 1)*(t + 7)
Let h(u) be the second derivative of u**4/3 - 10*u**3/3 + 8*u**2 + 139*u. Find p such that h(p) = 0.
1, 4
Let t(l) be the second derivative of l**6/60 - l**5/8 + l**4/8 + 3*l**3/4 + 47*l - 1. Determine g so that t(g) = 0.
-1, 0, 3
Let p = -9/4 + 73/36. Let r = p - -5/9. Factor 2/3*i**3 + 2/3*i**2 - r*i**4 - 1/3*i**5 - 1/3*i - 1/3.
-(i - 1)**2*(i + 1)**3/3
Find l, given that -74/3*l**2 + 14/3*l**3 - 8 + 104/3*l = 0.
2/7, 2, 3
Factor 0 + 5/2*g**3 + 50*g - 105/2*g**2.
5*g*(g - 20)*(g - 1)/2
Let v(c) be the second derivative of -c**7/210 - c**6/120 + c**5/60 + c**4/24 - 5*c**2 + 13*c. Let o(x) be the first derivative of v(x). Factor o(m).
-m*(m - 1)*(m + 1)**2
Let l(n) = -16*n**2 + 34*n - 33. Let c(m) = -3*m**2 + 7*m - 6. Let z(g) = -22*c(g) + 4*l(g). Factor z(b).
2*b*(b - 9)
Let t(n) be the second derivative of -2*n**6/15 - 9*n**5/5 - 8*n**4 - 32*n**3/3 - n + 101. Let t(z) = 0. What is z?
-4, -1, 0
Let a(s) = 59*s**2 + 205*s + 60. Let g(y) be the third derivative of y**5/3 + 17*y**4/6 + 10*y**3/3 + 15*y**2. Let q(c) = 6*a(c) - 17*g(c). Factor q(i).
2*(i + 5)*(7*i + 2)
Factor 51/4 + 12*n - 3/4*n**2.
-3*(n - 17)*(n + 1)/4
Let o = 18 - -67. Suppose 4*x - o = 2*k - 19, 43 = 3*x + 5*k. What is a in -x*a**2 - 15*a**2 - 6 + 4*a**2 + 21*a - 3*a**4 + 15*a**3 = 0?
1, 2
Suppose -10*x + 12 = -6*x. Suppose 0 = x*d + 9, -2*j = -3*d - 13. Determine i, given that 6*i**3 + 10*i**4 + 0*i - 10*i**2 + j*i - 4*i**5 - 4*i**5 + 0*i = 0.
-1, 0, 1/4, 1
Factor 4/5*j**2 + 0 - 4/5*j**4 + 16/5*j**3 - 16/5*j.
-4*j*(j - 4)*(j - 1)*(j + 1)/5
Let p(b) be the second derivative of 37/90*b**5 + 1/189*b**7 - 10/9*b**4 + 0*b**2 + 0 - 2/27*b**6 - 28*b + 4/3*b**3. Solve p(l) = 0.
0, 2, 3
Let q(f) = -34*f**2 + 474*f + 30. Let x be q(14). Factor -3/2*y**x + 0 - 3/2*y.
-3*y*(y + 1)/2
Let m be ((-256)/(-80))/(5 + (-1 - 158/40)). Determine s, given that 4*s**4 + 76*s**2 + 25*s**3 + 112*s + 1/4*s**5 + m = 0.
-4, -2
Let t = 7 - 2. Let r(q) = q + 9. Let y be r(-7). Determine n so that 12*n**2 - t*n**y + n**3 - 3*n**2 = 0.
-4, 0
Let m(u) = -29*u**2 + 105*u + 9. Let j(t) = -13*t**2 + 52*t + 4. Let p(r) = 9*j(r) - 4*m(r). Factor p(f).
-f*(f - 48)
Let v(f) be the third derivative of 0*f - 10*f**2 + 10/3*f**3 + 0*f**4 + 0 - 1/4*f**5 + 1/24*f**6. Factor v(w).
5*(w - 2)**2*(w + 1)
Let n(x) be the third derivative of -x**6/40 + 7*x**4/8 - 3*x**3 + 234*x**2. Determine u, given that n(u) = 0.
-3, 1, 2
Factor 0 + 2/15*c**4 + 2/3*c**3 + 2/5*c**2 - 6/5*c.
2*c*(c - 1)*(c + 3)**2/15
Let f be 2/3 + 10*2/15. Determine u, given that -5/3*u + 0*u**f + 5/3*u**3 + 0 = 0.
-1, 0, 1
Let q(s) be the first derivative of s**4/16 + s**3/4 - s + 2. Factor q(l).
(l - 1)*(l + 2)**2/4
Let u(f) = -f - 1. Let m(n) = n**2 - 18*n - 2. Let v(i) = 5*m(i) - 10*u(i). Let v(t) = 0. What is t?
0, 16
Solve -4 + 2801*r**5 + 5*r**4 + 2 + 2 - 2800*r**5 + 4*r**3 = 0.
-4, -1, 0
Factor -4*r**3 - 10*r**4 - 2 + 241*r**2 - 229*r**2 - 2*r + 2*r**5 + 4*r**5.
2*(r - 1)**3*(r + 1)*(3*r + 1)
Let b = -128/13 + 9229/936. Let r(s) be the third derivative of 0*s - 7*s**2 + b*s**4 + 1/9*s**3 - 1/180*s**5 + 0. Determine w, given that r(w) = 0.
-1, 2
Let z = -1466/5 - -5879/20. Let -3/4*i + 1/2*i**3 + 1/4*i**5 - 1/2*i**2 + z*i**4 - 1/4 = 0. Calculate i.
-1, 1
Let k(a) = a**2 - 4*a - 3. Let b be k(7). Let z = 21 - b. Find d, given that -2 - 2*d - d - z*d**2 + 2*d**2 = 0.
-2, -1
Let -5/7*v**3 + 0 - v + 13/7*v**2 - 1/7*v**4 = 0. What is v?
-7, 0, 1
Let h = 178/93 + -1876/775. Let x = 4/25 - h. What is i in 1/3*i**2 + 0 - x*i = 0?
0, 2
Let x(r) be the third derivative of -r**10/378000 - r**9/75600 - 17*r**5/60 - 18*r**2. Let q(y) be the third derivative of x(y). Factor q(o).
-2*o**3*(o + 2)/5
Let x(p) be the second derivative of -p**5/4 + 5*p**4/2 - 15*p**3/2 + 106*p. Factor x(q).
-5*q*(q - 3)**2
Suppose 112 + 4/7*z**2 + 16*z = 0. What is z?
-14
Let q = 1/5172 + 31025/36204. Factor -12/7*j**2 - 27/7*j - q.
-3*(j + 2)*(4*j + 1)/7
Let h(x) = 2*x - 13. Let k be h(11). Let q = 11 - k. Determine j so that -q - 5*j - j + 2*j**5 - 2*j**4 - 4*j**4 + 4*j**3 + 4*j**2 + 4 = 0.
-1, 1
Let o(r) be the second derivative of r**6/24 + r**5/3 + 5*r**4/8 - 23*r**2/2 - 3*r. Let l(i) be the first derivative of o(i). Determine s so that l(s) = 0.
-3, -1, 0
Let g = 2204/23 - 33014/345. Factor -4/15*d**2 + 2/15 - 4/15*d**3 + 2/15*d + 2/15*d**4 + g*d**5.
2*(d - 1)**2*(d + 1)**3/15
Let u(x) be the first derivative of x**6/3 - 76*x**5/15 + 32*x**4/9 + 68*x**3/9 - 73*x**2/9 + 8*x/3 + 345. Suppose u(r) = 0. What is r?
-1, 1/3, 1, 12
Let f(t) be the second derivative of 6859*t**5/12 - 1805*t**4/4 + 285*t**3/2 - 45*t**2/2 + t + 55. Factor f(k).
5*(19*k - 3)**3/3
Factor 48/5*m**3 + 0*m + 16*m**2 + 0 + 4/5*m**4.
4*m**2*(m + 2)*(m + 10)/5
Suppose -58/5*b**2 - 42/5*b**3 - 4/5 - 2*b**4 - 6*b = 0. Calculate b.
-2, -1, -1/5
Let o(b) be the first derivative of -5 - 1/3*b**3 + 1/4*b**4 - b**2 + 0*b. Determine p so that o(p) = 0.
-1, 0, 2
Let m = 624 - 6239/10. Factor 1/5*c**4 + 0 - 1/10*c**3 - m*c**5 + 0*c + 0*c**2.
-c**3*(c - 1)**2/10
Suppose s = -5 + 20. Suppose -p + s = -5*r, -2*r = 6 - 0. Factor 0*v + p + 1/2*v**2.
v**2/2
Find z, given that 0*z + 1/3*z**4 + 1/3*z**3 + 0 + 1/9*z**2 + 1/9*z**5 = 0.
-1, 0
Let d be (-250)/(-100)*(-12)/(-15). Factor 3*x**3 + 3/4*x**4 + 27/4 - 9*x - 3/2*x**d.
3*(x - 1)**2*(x + 3)**2/4
Let k(s) be the second derivative of s**6/30 + 19*s**5/100 + 7*s**4/20 + s**3/6 - s**2/5 + 127*s. Solve k(y) = 0 for y.
-2, -1, 1/5
Let x = 65 - 60. Let a(r) = -3*r**3 - 3*r**2 - 4*r. Let t(h) = 3*h**3 + 4*h**2 + 5*h. Let w(u) = x*t(u) + 6*a(u). Factor w(f).
-f*(f - 1)*(3*f + 1)
Let i(x) be the first derivative of 26 + 0*x**2 + 5/4*x**4 - 5/3*x**3 + 0*x. Factor i(w).
5*w**2*(w - 1)
Let v(a) be the third derivative of -a**5/15 - 3*a**4/2 - 40*a**3/3 + 8*a**2 + 12. Factor v(y).
-4*(y + 4)*(y + 5)
Let d(m) be the first derivative of 4*m**3/3 + 10*m**2 - 24*m + 455. Solve d(f) = 0 for f.
-6, 1
Solve -3969 + 25*f + 2434*f**2 + 101*f - 1219*f**2 - 1216*f**2 = 0 for f.
63
Let l = -1/5819 + 110567/34914. Find z, given that -3/2*z**3 + 1 - l*z + 7/2*z**2 + 1/6*z**4 = 0.
1, 6
Let f(y) = y**3 + y**2 - 2*y + 1. Let r(c) = c**4 + 6*c
|
{
"pile_set_name": "DM Mathematics"
}
|
/7) assuming q is positive.
q**(-1644/287)
Simplify ((g**14*g*g**(-6/5))**(10/7))**42 assuming g is positive.
g**828
Simplify (s**(-17)/s*s**0)/(((s/s**16)/s)/s)**32 assuming s is positive.
s**526
Simplify (c*(c/c**(-7))/c*c)**(-2/3)*c**(-1/4)*c**(-2) assuming c is positive.
c**(-33/4)
Simplify ((d/(d*d**(-9/5)))/(d**9*d))**(2/99) assuming d is positive.
d**(-82/495)
Simplify ((y**(-2/35)/y*y)/y)**(-20)/((y/(y*y**(-18)))/y)**(4/9) assuming y is positive.
y**(856/63)
Simplify (t**(-2))**43/(t**7*t)**(-1/15) assuming t is positive.
t**(-1282/15)
Simplify ((d**(-19)/d)/(d/(d*d/((((d*d**20*d*d)/d*d*d)/d)/d)*d)))/(d/(d*d**(4/5)*d))**34 assuming d is positive.
d**(106/5)
Simplify ((y/(y/y**(-1/8)))/(y**(-5/3)*y))/((y*y**2)/y)**(-8/11) assuming y is positive.
y**(527/264)
Simplify (b**(-7/4)/(b*b/((b**23/b*b)/b)))/((b*(b**(-18/11)*b)/b)/b**(-1/10)) assuming b is positive.
b**(4133/220)
Simplify ((w**(-1/5)*w*w**(-17)/w)**(-11/3))**35 assuming w is positive.
w**(6622/3)
Simplify (k**(-1/5)*k**7/k)/(k/(k*k**(-4))*k)**(3/25) assuming k is positive.
k**(26/5)
Simplify (x**(2/13)/x)**(-2)*(x**(-2))**(2/7) assuming x is positive.
x**(102/91)
Simplify (v/((((v**(-8)/v)/v)/v)/v))/v**(-3/11)*((v*v/(v/(v/(v*v**(-6/11)*v))))/v)/v**(-4) assuming v is positive.
v**(185/11)
Simplify (z*(z**(-3)*z)/z*z)**1/(z**(3/5))**(-23/4) assuming z is positive.
z**(49/20)
Simplify (r*r/(r**1/r)*r*r**(1/12)*r**0*r/(r*((r/(r**(-1/7)/r))/r)/r*r))**(-4/43) assuming r is positive.
r**(-163/903)
Simplify ((b*b**(-14/11))/(b**12*b))/((b*b**18)/b**23) assuming b is positive.
b**(-102/11)
Simplify p*p*p**(-6)/p*((p**(-2)/p)/p)/p*(p/p**(-4/7))/p**5 assuming p is positive.
p**(-94/7)
Simplify r*r**(-25)*r*r*r**(-25)*(r/(r/r**(-1/10)))**(1/2) assuming r is positive.
r**(-941/20)
Simplify ((v**(-2/13)/((v*v**(-6))/v))/(v**(-3))**13)**(-5/13) assuming v is positive.
v**(-2915/169)
Simplify (u*u**(-12)/u*u/u**14)/((u*u*(u**(-5)/u)/u*u)/(u*u**(-3/13)/u)) assuming u is positive.
u**(-276/13)
Simplify (q**(-5/7)/q*q*q**(-1/26))**(-3/2) assuming q is positive.
q**(411/364)
Simplify (d/(d/d**(-1/5)*d))**4/(d**(4/5))**34 assuming d is positive.
d**(-32)
Simplify ((t**20/(t/(t*t/(t**(15/2)*t)*t)))**(-24))**26 assuming t is positive.
t**(-8424)
Simplify h**(2/37)*h**13*(h**6*h)**(1/20) assuming h is positive.
h**(9919/740)
Simplify (b*b*b**(-3)*b*b*b)/b**(1/8)*(b**(-2)*b)**41 assuming b is positive.
b**(-313/8)
Simplify ((t**(-23)*t)/t*t)**(14/13)*((t/t**(8/3))/t)/t**(-27) assuming t is positive.
t**(25/39)
Simplify (o*o**31*o**21)**(8/13) assuming o is positive.
o**(424/13)
Simplify (l**(2/45)*l)/l*l*(l*l**(-13)/l*l)/l*l/l**(1/5)*l*l**(-17) assuming l is positive.
l**(-1222/45)
Simplify (((s**(1/2)*s)**(-46/3))**(-2/9))**(-1/35) assuming s is positive.
s**(-46/315)
Simplify (x/(x**(-1/2)*x)*x/(x*x*(x*x**31*x)/x))**(-1/7) assuming x is positive.
x**(65/14)
Simplify (o*o*o/(o*o**2)*o)**14*(o**(1/3)*o*o)/o*o**(-2/41) assuming o is positive.
o**(1880/123)
Simplify ((r/r**13)/r)/(((r/(r/(r/(r**(3/5)*r))))/r)/r*r)*(r**3*r)**33 assuming r is positive.
r**(603/5)
Simplify (t/t**(-20)*t/(t*(t/(t/(t**20/t)))/t)*t)/(t*t**1/t)**32 assuming t is positive.
t**(-28)
Simplify (r**(-7/6))**4*r**(-15)*r*r*r**(11/5) assuming r is positive.
r**(-232/15)
Simplify (m*m/(m**14*m))/m*m*((m/(m*m**2))/m*m)/m*m**10/m**4 assuming m is positive.
m**(-10)
Simplify (x/x**(1/6)*x*x**(6/11)*x)/(x/((x/(x*x/(x**(-12)*x)*x)*x)/x))**(-12/11) assuming x is positive.
x**(1231/66)
Simplify (f/(f**(-2/37)/f)*f**2)/(f**6*f**(-2)) assuming f is positive.
f**(2/37)
Simplify (a/a**(-6))/a*a**(-2/5)*((a/a**(2/15))/a)/(a*a*a/(a*a**(-2/11)*a*a)*a*a*a) assuming a is positive.
a**(377/165)
Simplify ((t**(7/4))**(-25))**(-20) assuming t is positive.
t**875
Simplify (((x*x**(-1/2))**(-2/7))**(3/4))**(-4) assuming x is positive.
x**(3/7)
Simplify q**(-3/2)/(q*(q/(q/q**(2/17)))/q)*(((q*q*q**(2/53))/q)/q)/q*q/(q**(-2/11)/q)*q*q assuming q is positive.
q**(31753/19822)
Simplify (((f*f**2*f)**25)**(2/5))**5 assuming f is positive.
f**200
Simplify ((g**(4/3)*g/g**1)/((g/g**(-4))/g**(-6)))**(-1/15) assuming g is positive.
g**(29/45)
Simplify (((v**(2/3)*v)**5)**18)**32 assuming v is positive.
v**4800
Simplify (s/s**(2/5))**(-12)*(s**11/s)/(s/s**(-9/2)) assuming s is positive.
s**(-27/10)
Simplify (((m**22*m)/m*m*m*m)/m*m**(1/21))/(m/(m*(m**(2/19)*m)/m)*m)**(-43/4) assuming m is positive.
m**(53731/1596)
Simplify a**(-1/8)/(a**(3/2)/a)*((a*a**(-1/10))/a)**(2/21) assuming a is positive.
a**(-533/840)
Simplify ((g/(g/g**(-12))*g)/(g/(g**(-27)/g)))**29 assuming g is positive.
g**(-1160)
Simplify (h/(h/h**(2/7)))**(-2/11)/(h*h**4)**(-10) assuming h is positive.
h**(3846/77)
Simplify (k**9/k*k)**(-46)/(k**(-3/4)/k)**(-13/3) assuming k is positive.
k**(-5059/12)
Simplify a*a*(a**(-1)*a)/a*a**(-8)*(a*a**(6/5)*a)/a**10 assuming a is positive.
a**(-69/5)
Simplify ((k*k**15)/k)/k**(-2/13)*(k**3)**(6/11) assuming k is positive.
k**(2401/143)
Simplify (h/(h*h**(3/8)))/(h/h**(-15))*h*(h*h**(-13)*h)/h*(h/h**11*h)/h assuming h is positive.
h**(-299/8)
Simplify ((g**(-20))**(-3/23))**(-44) assuming g is positive.
g**(-2640/23)
Simplify h**(-1/7)*h**(2/21)/h*h/h**2*h*(h**14/h)/h assuming h is positive.
h**(230/21)
Simplify (s**14/(s*s*(s*s**14)/s))/((s*s/(s**12*s))/s*s*s**(-6/7)) assuming s is positive.
s**(69/7)
Simplify (g*g*g/((g**(-2/5)/g*g*g)/g))**20*(g**(-1/3))**(-46) assuming g is positive.
g**(250/3)
Simplify (c*c/((c/(c**(-2/19)*c*c))/c))**30/(c/c**(-9)*c**(9/5)) assuming c is positive.
c**(9979/95)
Simplify (((y*y**(-1)*y)/y)/y)**(1/4)*y/y**(-2/3)*y*y*(((y*(y*y**(-1))/y*y*y)/y)/y)/y assuming y is positive.
y**(29/12)
Simplify b/(b*b**(-7))*b*b/((b/(b*b**(-40)/b)*b)/b)*((b**(3/23)/b)/b)**(2/11) assuming b is positive.
b**(-8182/253)
Simplify d**(-6/5)*d**(-15)*(d/d**(5/6)*d)/(d/(d**(-11/3)/d)) assuming d is positive.
d**(-207/10)
Simplify (((s*s/s**5)/s*s*s)/(s*(s/(s**(-1)*s)*s)/s*s))/(s*s**(-17)*s/s**(-9)*s*s) assuming s is positive.
1/s
Simplify ((j*j*j**(5/8)*j)/j*j/j**(1/40))/(j*(j**(-2/31)*j)/j*j**1/j) assuming j is positive.
j**(413/155)
Simplify ((t/(t*t**(7/2)))**(-4/17))**(-12) assuming t is positive.
t**(-168/17)
Simplify (g**(-7))**(-3/43)*g**(7/6)*g/g**15 assuming g is positive.
g**(-3185/258)
Simplify (t**(4/11)*t*(t*t**(2/35)*t)/t)/(t/(t**7*t))**23 assuming t is positive.
t**(62917/385)
Simplify ((j**(-2/21))**16)**12 assuming j is positive.
j**(-128/7)
Simplify ((p**(2/3)/p)/((p/(p*p*p**25*p))/p*p))/(p*p**9)**(-12) assuming p is positive.
p**(440/3)
Simplify (h**(2/3)*h)/(h*h*h/(h*(h/((h**(-7/4)/h)/h)*h)/h*h)*h)*h**5/h**8 assuming h is positive.
h**(17/12)
Simplify (n**4)**(-21)*n**4*n**(-5) assuming n is positive.
n**(-85)
Simplify ((h**5*h**(1/6))/(h**0*h*h)**13)**(-8/13) assuming h is positive.
h**(500/39)
Simplify (t/(t/(t/((t*t**(4/3))/t))))/t**(3/7)*(t/t**(1/20))/t**(2/5) assuming t is positive.
t**(-89/420)
Simplify ((t*t*t**3*t*t**(-2/9)*t)/(t**(-8)*t*t/(t*t*t/(t*(t*t/t**(-2/33))/t)*t)*t))**14 assuming t is positive.
t**(19012/99)
Simplify (t**(2/29)*t)/(t*t*t/(((t/t**(-2/7))/t)/t)*t)*(t*t/t**0*t)**(-4) assuming t is positive.
t**(-3176/203)
Simplify r**(-3)/r*r*r**9*r/r**(-5)*r*(r*r**(-2/33))/r assuming r is positive.
r**(427/33)
Simplify ((h**1*h*h)**(-20)/(h**(-2/7))**(-45))**(-47) assuming h is positive.
h**(23970/7)
Simplify (((c*c/(c*c/(c*c**(1/4)))*c)/(c/(c*c*c**(-2/13)/c*c)))/(c**11*c**(-3/5)))**(-1/11) assuming c is positive.
c**(1899/2860)
Simplify (q**(1/2))**(2/11)/(q**(-3/11)*q/q**(-6)) assuming q is positive.
q**(-73/11)
Simplify u**8*u/u**(4/9)*(u*u**(-2))**(-4/33) assuming u is positive.
u**(859/99)
Simplify ((a**0*a)**(-1/20)*(a/(a/a**(-1/6)*a))/a**(-2/21))**41 assuming a is positive.
a**(-6437/140)
Simplify ((u/((u**6*u)/u*u))/u)**(-12)/(u**(4/13)*((u/(u*u**31/u*u))/u)/u) assuming u is positive.
u**(1517/13)
Simplify (l/(l*l**(-15)/l)*l**(-2)*l)/(l**(-14)*l/(l**13*l)) assuming l is positive.
l**42
Simplify ((d/d**7)**7)**(-2/3) assuming d is positive.
d**28
Simplify (q/(q/(q*q**2*q))*q/(q/(q/((q**(2/15)*q)/q)*q))*q**(1/14)*q/(q**7/q))**17 assuming q is positive.
q**(3349/210)
Simplify (w**(-3/11)*w*w/(w/(w**1*w))*(w**1)**(8/7))**(-16) assuming w is positive.
w**(-4768/77)
Simplify ((v/(v/(v/v**(-2/9))))/v)**(-11/3)*(v**
|
{
"pile_set_name": "DM Mathematics"
}
|
y*a and give g.
18
Express -2*y**2 + 0*y**3 - y**3 + 105 - 103 as p*y**2 + b + o*y**3 + g*y and give b.
2
Rearrange -2*i**4 + 13*i**2 - 4*i - 192 + 191 + 2*i to the form s*i**3 + d + k*i**4 + b*i**2 + v*i and give b.
13
Express (4*t - 4*t + t**2)*(3*t - t - t)*(-5 + 6 + 10) in the form o*t**2 + k + h*t**3 + v*t and give h.
11
Express -2*t**2 + 1 - 98*t - 96*t + 2*t**3 + 189*t + 2*t**4 as x*t**3 + h*t + q*t**2 + o*t**4 + u and give q.
-2
Express -30*y**2 + 5*y - 8*y**2 - 9*y**2 - 3*y as u + m*y + h*y**2 and give m.
2
Rearrange 14*r**2 - 3*r**3 - r**3 - 16*r**2 - 3*r**4 to the form o*r**2 + z + m*r**4 + s*r + p*r**3 and give p.
-4
Express (2*i**2 - 2*i**2 + i**2)*(2 + i**2 - 2) - 4*i**4 + 1239*i**2 - 1239*i**2 as u*i**4 + l*i + r*i**2 + a + q*i**3 and give u.
-3
Rearrange (-3 + 0 + 5)*(2 - 3*a - 2*a + a) to c*a + i and give i.
4
Express 0 + 2 + 9*p - 2 in the form u + q*p and give q.
9
Express ((-l + l - 2*l)*(1 - 4 + 6) + 2*l + 3 - 3)*(3*l - 3*l - 2*l) as b + u*l + g*l**2 and give g.
8
Rearrange ((1 - 3 + 6)*(2*u + u - u) + 0*u + 3*u - 2*u)*(0 - 3 + 1)*(-u**3 + 4*u**3 - 2*u**3) to the form t*u**2 + y*u**4 + l + d*u**3 + z*u and give d.
0
Rearrange (5*j**2 + 29*j**2 + 172*j**2)*(3 + 0 - 4)*(1 - 2*j - 1)*(-2 + 0 + 3) to z*j**3 + g*j**2 + a*j + i and give z.
412
Express 5*b**2 - b**2 + 27*b**3 - 26*b**3 as d + l*b**3 + r*b**2 + y*b and give d.
0
Rearrange 6*t - 3*t - t - 18*t to w + f*t and give f.
-16
Rearrange (2 + v**2 - 2)*(-5 + 3 + 3)*(3 + 0 - 4) to the form j + n*v**2 + z*v and give z.
0
Rearrange -2*t**2 - t**3 + 7*t**2 + 2*t - 6*t**2 to k*t**2 + j*t**3 + n + c*t and give c.
2
Rearrange -3 + 546*i - 12*i**2 - 546*i to d + y*i**2 + o*i and give d.
-3
Express 12*a**3 + 2*a**2 - 2*a**2 - 13*a**3 - 8*a**2 as u*a + b*a**2 + w*a**3 + q and give w.
-1
Express -9 - 2*l**3 + 1 + 0 in the form a*l + g*l**2 + n + k*l**3 and give n.
-8
Rearrange 1 - 1 + 6*d to l*d + q and give l.
6
Express 0*a - 6*a + 6*a - a as l + c*a and give c.
-1
Rearrange 17 + 3*r**3 - 6 - 15 to j + w*r**2 + k*r + z*r**3 and give z.
3
Rearrange (-c + 2*c - 4*c)*(99 - 99 + 17*c) to i + u*c**2 + g*c and give u.
-51
Rearrange (4*x**2 - 5*x**2 - x**2 + 4*x**2 - 5*x**2 + 3*x**2 + (0*x + 0*x - 2*x)*(-x - 3 + 3))*(0*x + 8*x - x) to z*x**3 + u + m*x**2 + l*x and give z.
14
Rearrange (-1 + 4*k + 1)*(0 + 3 - 1) - 3*k - k - 2*k to v + x*k and give x.
2
Rearrange (1 + 0 + 2)*(-k + 17 - 17)*(2*k - 2*k - 1 - 2*k**2) to u + t*k**2 + d*k + w*k**3 and give w.
6
Rearrange 326*x**2 + x**4 + x**3 - x + 6*x - 326*x**2 to j*x + a*x**2 + g + l*x**3 + p*x**4 and give p.
1
Express -3*c**3 + 7 - 7 + 0*c**3 + c**2 as k + a*c**3 + j*c + i*c**2 and give i.
1
Express (6*n - 6 + 6)*((-n**2 + n**2 - 3*n**2)*(1 - 4 + 1) - 1 + 1 + 4*n**2) in the form f*n**2 + x*n**3 + c*n + z and give x.
60
Express 40 + 2*k**3 - k**2 - 40 - 2*k in the form s*k**3 + m*k**2 + p*k + j and give s.
2
Rearrange -3*l + 6*l + 6*l**2 - 2*l**2 - l**3 + 2 - l to the form j*l + o*l**2 + k + v*l**3 and give v.
-1
Express (4*t + 4*t - 5*t)*(3*t**2 + t**3 - 4*t**3 - 5*t**2 + (t - 1 + 1)*(0*t**2 - 2*t**2 + 0*t**2)) in the form s*t**3 + b*t + f*t**2 + c + o*t**4 and give o.
-15
Express 17*r**3 - 2*r**3 - 3*r**3 + (3 - r**2 - 3)*(-2*r - 2*r + 2*r) - r**3 + 0*r**3 + 3*r**3 in the form z*r**2 + o*r**3 + u*r + h and give o.
16
Express 8 - 8 - 128*a**2 + 0 in the form u*a + k + z*a**2 and give u.
0
Rearrange (-r**3 + 1 + 1 - r**3)*(-2 - 1 - 12) to y*r**2 + j*r + n*r**3 + i and give i.
-30
Express (8*k - 16 + 16)*(-2 - 1 - 2)*(1 - 2 + 0) in the form c*k + v and give c.
40
Rearrange (-121*m**2 + 347*m**2 - 165*m**2)*(-3*m - 2*m + 4*m) to the form t*m + g + w*m**2 + y*m**3 and give y.
-61
Express 3*s**4 - s + 12*s**2 + 9*s**3 - 12*s**2 - 2*s**4 in the form q + c*s + f*s**2 + t*s**4 + w*s**3 and give c.
-1
Rearrange -3*w + w + 0*w + (4 - 2 - 4)*(3 - 3 + w) - 3*w + 12*w - 32*w to the form p*w + f and give p.
-27
Rearrange (-4 + 4 + 2*r + (2 + 4 - 3)*(-2*r - r + r) + r - 2*r + 2*r)*(2 + 6*r - 4*r - 1) to the form y*r + o*r**2 + j and give y.
-3
Express (w + 5*w - 3*w)*(2 - 3 + 6) + 2 - w - 2 in the form l + g*w and give g.
14
Rearrange -4*n + 11*n - 3*n - 6*n to the form m + v*n and give v.
-2
Rearrange 3*k + 213*k**2 - 108*k**2 - 2 - 100*k**2 to i*k + j + y*k**2 and give y.
5
Rearrange (0 + 0 + b)*(-2 - 1 + 2) + 10*b + 34*b - 16*b to v*b + s and give v.
27
Rearrange 2 - d**3 + 0*d**4 + 3*d - 2*d**4 + 5*d**4 - d to the form p + c*d**2 + v*d**4 + u*d**3 + g*d and give u.
-1
Express 11*b - 2*b + 4*b in the form v + x*b and give x.
13
Express -n + 44 + 0*n - 7 + 21 as y + d*n and give y.
58
Rearrange 111*v + 2*v**3 - 59*v - 52*v + 2 + 15*v**2 to the form m*v**2 + g*v + f + b*v**3 and give g.
0
Rearrange 3 - 3*b**4 - b**4 + 2*b**4 + 2*b**2 - 1 - 5*b to the form i*b**3 + m*b**4 + k*b**2 + f + j*b and give m.
-2
Rearrange (-6 + 0 + 3)*(-2 - 2*r + 2 + (0*r + 2*r - 4*r)*(2 - 3 - 5)) to b + p*r and give p.
-30
Rearrange (6*h + 6*h + 3*h)*(3*h - 4*h - h)*(2 - 3*h - 2) to x*h**2 + n*h**3 + z*h + o and give n.
90
Rearrange 11*i - 56*i**2 - 5*i - 7*i to k*i + w*i**2 + c and give w.
-56
Express (4 - c - 4)*(-3 + 0 + 1)*(-9 + 7*c + 9) in the form k + l*c + m*c**2 and give m.
14
Express ((-2*v - 2*v + 2*v)*(-1 + 2 + 1) - 6*v - 2 + 2 - 5*v + 10 - 10)*(2 + 0 - 1) in the form j + z*v and give z.
-15
Express -1 - 10 + 2 + 6 + 5*q**3 as z + n*q**3 + p*q + c*q**2 and give z.
-3
Express 2*l - 4*l - 2*l - 3 - 2*l + 3 + (4 + 1 - 3)*(l - 3*l + 0*l) + 0*l + 2*l - 4*l + 2 - 2 - 4*l - 1 as p*l + a and give p.
-16
Rearrange 1 + k**2 - 6*k**2 + 1 - 2*k**2 to v*k**2 + m + f*k and give m.
2
Express -6*t**2 - t**4 + 117*t**3 - 118*t**3 + 0*t**4 + 0*t**2 in the form a*t**3 + q + g*t + v*t**2 + k*t**4 and give a.
-1
Express (6 + 2 - 3 + (-5 + 4 + 0)*(4 - 3 + 1))*(3*v - 3*v + 2*v)*(-11*v + 15 + 10 - 26) as h + o*v**2 + j*v and give o.
-66
Express 3*l**2 - 4*l**2 + 19*l**3 - 32*l**3 in the form g + y*l**2 + f*l**3 + j*l and give y.
-1
Rearrange -3*s - 2*s + 2*s - 9*s to the form n + j*s and give j.
-12
Express 20 + 19*r - 20 in the form s + z*r and give z.
19
Rearrange (w - 1 + 1)*(-3*w**3 + 10*w**3 - 6*w - 2 + 7*w) to the form y*w + x*w**2 + a*w**3 + p*w**4 + k and give x.
1
Rearrange 4*i + 8*i + 0*i to the form g*i + s and give g.
12
Rearrange -15*a**2 + 8*a**2 + 36*a**2 to v*a + o*a**2 + s and give o.
29
Express -3 - 2*n**2 + 0*n**2 + 2*n**3 + 4 - 3 as r*n**3 + z + m*n + d*n**2 and give z.
-2
Rearrange -16 + 297*d - 297*d + 2*d**2 to the form n*d + b*d**2 + t and give t.
-16
Rearrange (2*x + 0 + 0)*(-11 + 11 + x) - 6 + 6 + 2*x**2 - 2*x to the form u*x + h + o*x**2 and give h.
0
Rearrange 10*a**2 + 2*a - 4*a + 3 - 3 to the form h + z*a + p*a**2 and give p.
10
Rearrange -f - 15*f**3 + 1151*f**2 + 0 - 1150*f**2 + 1 to the form b*f**2 + y*f**3 + o + m*f and give b.
1
Rearrange (-1 + 13 - 12 + 10*z**2)*(0 + 2 - 1) to g*z**2 + n + l*z and give g.
10
Rearrange (5*a - 7*a + a)*(-2 + 2 + a + (-4 - 3 + 5)*(3*a - a + 0*a) - 2*a + 3*a + 0*a) to the form g*a + n + d*a**2 and give d.
2
Rearrange (-u - 2*u + u)*(0 + 0 + u) - 4*u**2 + 0*u**2 + 3*u**2 + (-11*u - 8*u - 4*u)*(5*u + 0*u - 3*u) to w + q*u**2 + b*u and give q.
-49
Rearrange -21*l + 1 - 1 - 32*l to the form c*l + y and give c.
-53
Express (-a + 3*a - 4*a)*(3 - 1 + 1) as v + n*a and give n.
-6
Express (2*p + p - 5*p)*(-14*p + 35*p - 2*p) as k + y*p**2 + t*p and give y.
-38
Express 8*b + 3 + 0*b - 32*b in the form q + t*b and give t.
-24
Express -5*k + 0 + 0 - 52*k as a + q*k and give q.
-57
Express 1 + 17*i - 12*i**2 + 8*i**2 + 6*i**2 - 2 as j*i + z*i**2 + n and give z.
2
Rearrange 8*i**2 - 52 + 52 to the form k + a*i**2 + x*i and give a.
8
Rearrange 14*h**3 - 16*h**3 - 8*h + 2*h + 4 - 6 to i*h**3 + g*h**2 + w*h + t and give i.
-2
Rearrange -85*f - f**3 - 17 + 85*f + 5*f**3 to m + k*f + w*f**2 + i*f**3 and give m.
-17
Express (-4 + 4 + 2)*(-2 - 7 + 5)*(-r - r + r) in the form n + q*r and give q.
8
Rearrange -4*s + s + 4*s - 2 - s**2 + (-2 + 2 - 1)*(1 + 2*s**2 - 1) to the form n*s**2 + a + m*s and give n.
-3
Express 1887 + 39*w**2 - 1887 + 21*w**2 as o*w**2 + y*w + a and give o.
60
Express (1 + 2 - 4)*(-m**4 + 0*m**4 + 2*m**4) - 8*m**3 + 4*m**4 + 43*m**3 - 2*m**4 in the form u*m**4 + p*m**2 + a + b*m**3 + d*m and give b.
35
Express (-q - 4*q +
|
{
"pile_set_name": "DM Mathematics"
}
|
0
Let s(g) = -g**2 - 6*g - 19. Let z(y) = y**2 + 6*y + 19. Let m(i) = 5*s(i) + 6*z(i). What is the units digit of m(-16)?
9
Suppose 11*a - 6 = 8*a. Let w(l) = -15 - l**a - 21 + 34 + 18*l. What is the units digit of w(14)?
4
Let x(f) = f**3 + 5*f**2 + 5*f + 11. Let l(k) = -2*k**3 - 4*k**2 - 6*k - 12. Let d(r) = 2*l(r) + 3*x(r). What is the tens digit of d(7)?
3
Suppose z + 2*f + 69 = 6*z, -66 = -5*z + 3*f. Let h = 275 - z. What is the hundreds digit of h?
2
Let y = 141 - 139. Suppose 3*g = -3*h + 972 - 288, 0 = -y*g + 4*h + 450. What is the units digit of g?
7
Suppose 0 = 2*p - 4 - 16. Suppose -6*r + p = -2. What is the units digit of r?
2
Let s(d) = 30*d**2 + 11*d - 13. What is the units digit of s(-7)?
0
Let q(c) = 7*c**2 - 2*c + 57. What is the hundreds digit of q(-10)?
7
Suppose 2*d = 38 - 10. What is the units digit of 2/d - (-1217)/7?
4
Suppose 136 - 26 = 11*t. What is the units digit of t?
0
Let q be -1 + 1 - (-6 + 3). Let r = -48 + 83. Suppose -5*t - 4 + 110 = 4*y, -q*t - r = -y. What is the units digit of y?
9
Let w(i) = 2*i**2 - 15*i + 28. What is the tens digit of w(8)?
3
Suppose -4*j = 2*q - 1574, j - 2392 + 31 = -3*q. What is the tens digit of q?
8
Let y(p) = -p**3 + 21*p**2 - 25*p + 39. What is the hundreds digit of y(19)?
2
Suppose 20*s = 28*s - 6576. What is the units digit of s?
2
Let t(k) be the second derivative of 11*k**6/40 + k**5/30 - k**3/6 - k**2 + k. Let f(i) be the first derivative of t(i). What is the tens digit of f(1)?
3
What is the units digit of (200360/120)/((-1)/(-2 - 1))?
9
Let t be ((-3)/(-1))/(1/2). Suppose 570 = 5*z + z. Suppose m = t*m - z. What is the tens digit of m?
1
Suppose -4*o - 656 = -3*h + 824, 0 = -h + 5*o + 497. What is the units digit of h?
2
Let c(w) = 0*w**2 + w - w**2 + 4 + 2*w. Let n be c(5). Let l(f) = -f**3 - 7*f**2 - 9*f - 9. What is the units digit of l(n)?
9
Let a = -2350 - -4484. What is the thousands digit of a?
2
Let f = 219 - 119. Suppose 0*h + 5*h - f = 0. What is the tens digit of h?
2
Let l(r) = -31*r - 137. What is the hundreds digit of l(-21)?
5
Let g(i) = 25*i**2 - 19*i - 10. What is the hundreds digit of g(7)?
0
Let s be (1 - (1 - 1))*276. Suppose -c + 7*c - s = 0. What is the units digit of c?
6
Let r = 102 - 78. Suppose 56*o = 54*o + r. What is the units digit of o?
2
Let h(s) = s**2 - 7*s + 9. Let w be h(6). Suppose a + 232 = w*a. Suppose 0 = 6*o - 2*o - a. What is the units digit of o?
9
Suppose 0 = -5*r - 51 - 14. Let a = r - -5. What is the units digit of (-12)/a*(3 - -23)?
9
What is the tens digit of (4 - 2*(-2)/4) + 461?
6
Let l(a) = a**3 + 11*a**2 + a + 14. Let h be l(-11). Suppose 0 = -h*f + 2*o + o + 183, -5*f = -o - 301. What is the tens digit of f?
6
Let i(c) = 42*c**2 + 12*c + 27. What is the units digit of i(-2)?
1
Let f(u) = 6*u - 22. Let g be f(7). Suppose g = v - 34. What is the units digit of v?
4
Suppose 680 + 2540 = 28*i. What is the units digit of i?
5
Let f(h) = -2*h**3 + h**2 - h - 3. Let u be ((-1)/(-2))/(1/2)*-2. What is the tens digit of f(u)?
1
Suppose 10 = p + p. Suppose -2*b + 2*g - 68 = -394, 0 = p*g - 20. What is the units digit of b?
7
Let c(a) be the second derivative of 0 - 1/6*a**3 + 4*a + 0*a**2. What is the units digit of c(-6)?
6
Let a(f) = 8*f + 3. Let d = 12 + -24. Let k be ((-9)/12)/(3/d). What is the tens digit of a(k)?
2
Suppose -4*g + 12 = 4*s, -8*g - 3*s + 15 = -3*g. Suppose -p - 12 = -q, -g*p + 2*q = -2*p + 8. Let l = 27 + p. What is the tens digit of l?
1
Let r(y) = -2*y**3 + y**2 - 3*y + 2. Let i be r(1). Let q be (4 - 5)/(i/420). Suppose -6*d + 3*t = -2*d - q, 0 = 2*d - 3*t - 108. What is the units digit of d?
1
Let y be 0 - (-18)/(-1 - -4). Suppose y = -5*h + 21. What is the units digit of h?
3
Suppose -4746 = -4*m + 2*d, 13*m - 5*d = 12*m + 1209. What is the units digit of m?
4
Suppose 3*y + 2 = 26. Let f = y + -8. Suppose 2*s + 3*s - 110 = f. What is the units digit of s?
2
Suppose -2*n - 401 = -2451. What is the hundreds digit of n?
0
Let l be -69*(-3 - 0)*20/30. Suppose 0 = -2*r + 26 + l. What is the tens digit of r?
8
Let s be (156/9)/(2/(-24)). What is the tens digit of (s/40)/(2/(-20))?
5
Suppose 0 = -2*t - 2, 4*x - 4*t = x - 8. Let v = 13 + 5. Let j = v - x. What is the units digit of j?
2
Let x(y) = -y**2 + 5*y + 9. Let g = 5 + 1. What is the units digit of x(g)?
3
Suppose -80*t + 77*t + 1355 = 2*w, 4*t + 1362 = 2*w. What is the hundreds digit of w?
6
Suppose -2*b = 2*b + 844. Let u = -108 - b. What is the tens digit of u?
0
Suppose 0 = -9*x + 4884 + 57. What is the tens digit of x?
4
Let d be 2 - ((-6)/(-2))/(-1). Let c(o) = o**3 - 6*o**2 + 8*o - 3. Let i be c(d). Suppose -i = -0*m - m. What is the tens digit of m?
1
Let v = -57 + 171. Let t = 177 - v. What is the units digit of t?
3
What is the tens digit of (1198/(-6))/((-1)/3)?
9
Suppose 0*k = 5*j + 5*k, j + 5*k = -16. Suppose j*r - 96 = 44. What is the units digit of r?
5
Suppose -2*m - 2*g + 102 = 0, -2*m + 6*g + 90 = 2*g. Let b be (-1)/(-4) - (-5)/(-4). Let l = m - b. What is the units digit of l?
0
Let m = 321 + -10. What is the hundreds digit of m?
3
Suppose 3*p + 5*c = -28, 4*p + 5*c = 4*c - 9. What is the units digit of (-7)/(-21) + p*(-285)/9?
2
Let z be -3 + 0 + (7 - 5). Let x(m) = -11*m**3 + m**2 + 3*m + 1. What is the units digit of x(z)?
0
Suppose 31*c - 27*c = 15980. What is the thousands digit of c?
3
Let n(x) = -x**2 + 18*x + 47. Let s be n(23). Let y = -46 - s. What is the tens digit of y?
2
Let w be ((-2)/3)/((-8)/12). What is the tens digit of (524/(-8))/(w/(-2))?
3
Suppose 1 = s - 0, q - 5 = -2*s. What is the tens digit of ((-1)/q + 3)*(-915)/(-20)?
2
Let s(w) = 5*w + 2. Suppose 57 = -5*a + 3*t, 5*a + 54 = 4*t - 2. Let u be a/(-14)*-1*-7. What is the units digit of s(u)?
2
Let c = 18 - 25. Let f be (-2)/c + 2/(-7). Suppose -4*s = b - 16, f = -2*b - 5*s + 25 + 1. What is the units digit of b?
8
What is the tens digit of (-4)/4*2 - -420 - -4?
2
Suppose -260 = -2*j + 5*u, -8*j = -5*j - 2*u - 368. Let c = j - 99. What is the tens digit of c?
2
Let f be -33 - 8/6*-3. Let n = f - -91. What is the tens digit of n?
6
Let i = 35 - 21. Suppose -4*p = -3*g + i - 1, -p = 4*g - 11. Suppose -8*v + 125 = -g*v. What is the tens digit of v?
2
Suppose 11328 = 15*g - 7*g. What is the tens digit of g?
1
Suppose -6*d + 2986 = -5*d - 5*i, 2*i = 5*d - 14907. What is the units digit of d?
1
Let y(v) = 14*v**2 + 28*v - 42. Let i(z) = -5*z**2 - 9*z + 14. Let u(q) = 17*i(q) + 6*y(q). Let p = 4 - -9. What is the tens digit of u(p)?
1
Let i(t) = t**2 + 9*t + 23. Let c be i(-10). Let g = 37 - c. Suppose 168 = 5*a - g*j, 4*a - 2*j = a + 102. What is the units digit of a?
6
Suppose -b - 4 = -2*q - 0, -2*b = 2*q - 22. Suppose 3*z + 2*s - 223 = 0, -3*z + b*z - 243 = 3*s. What is the units digit of z?
7
Suppose q + 32 = 9*q. Suppose 0*u - 3*b = u - 34, 0 = q*b - 4. Let s = -18 + u. What is the units digit of s?
3
Let x(s) = s - 14. Suppose -4*z + 33 + 11 = 0. Let n be x(z). What is the tens digit of (-34)/n + (-6)/(-9)?
1
Let t be (-2 - 1)/(-3)*0. Suppose t*w + 2*w + 112 = 0. What is the units digit of 120/14 + (-24)/w?
9
Let z = 688 + -529. What is the hundreds digit of z?
1
Let j be (1/2)/(4/(-72)). Let u(y) = -5*y - 10. Let f be u(j). Suppose -2*i + f = -27. What is the units digit of i?
1
Suppose 0 = -2*b + 8. Suppose -b*x = 4, -3*y - y + 3 = x. Suppose c - u - 3 - 8 = 0, 0 = c + u - y. What is the units digit of c?
6
Suppose 0 = -21*p - 12*p + 71643. What is the hundreds digit of p?
1
Let y = 25 - 23. Suppose -y*l - 295 = -7*l. What is the units digit of l?
9
Let l = -44 + 0. Let w = l - -180. What is the units digit of w?
6
Let j(g) = 0 + 4 - 5*g - 4 + 3 + g**3. Let r(q) = -q**3 - 7*q**2 - q - 4. Let m be r(-7). What is the units digit of j(m)?
5
Let n(k) = -k**2 + 17*k + 20. Let q be n(18). What is the units digit of 95/(-1*1/(q/(-2)))?
5
Let b(f) = -f**3 - 3. Let h be b(0). Let u be -4*(-7)/((-28)/h). Suppose -2*g - 5*q = -g - 59, u*q + 159 = 3*g. What is the tens digit of g?
5
Let s(v) = -23*v**2 + 2*v. Let d be s(2). Let n = -51 - d. What is the units digit of n?
7
Suppose 3*n - 25 = 2*d, -5*n + 24 = 3*d - 43. Suppose 4*f - 3*h = -2*h + n, -f + 14 = -4*h. Let t(x) = 25*x + 1. What is the units digit of t(f)?
1
Suppose -8411 = f - 14*f. What is the hundreds digit
|
{
"pile_set_name": "DM Mathematics"
}
|
l)*(1 + 0 - 2) + 2*l + 7*l - 8*l + 3*l + 0*l - l.
4*l
Expand (2*v + 0*v - v)*(-1 - 1 + 4) - 2 - 3 + 4 + v.
3*v - 1
Expand (9 - 7 - 5)*(0*q + q - 2*q).
3*q
Expand -7*y**3 - 10*y**5 + 7*y**3 + (y + 2*y**4 - y)*(-7*y + 12 - 12).
-24*y**5
Expand (0*v + 3*v - 4*v)*(-174 + 174 + 51*v).
-51*v**2
Expand (-4 + 1 + 4)*(0 - 1 + 3)*(4*l + l - 2*l).
6*l
Expand (r + 0*r - 3*r)*(5 - 3 + 0) + (26 - 5 + 7)*(2*r - 1 + 1).
52*r
Expand (1 - 5 + 2)*(1 - 10*n + 1 + 6*n).
8*n - 4
Expand (-v - 3 + 3)*(0*v - 3*v + 2*v)*(6*v - 6*v + v**2).
v**4
Expand (1 + 0 - 3)*(h**3 + 3*h**3 - 2*h**3) - 3*h**3 + 2*h**3 + 2*h**3 + 4*h**3 - 3*h**3 - 2*h**3 + (0*h + 3*h - h)*(1 - 3 + 6)*(-h**2 - h**2 + 5*h**2).
20*h**3
Expand -2*c**2 + 4*c**2 - 4*c**2 + (-3*c**2 + c**2 + 4*c**2)*(-4 + 4 - 2) + 0*c**2 - 2*c**2 + 4*c**2 + 0 - 4*c**2 + 0.
-8*c**2
Expand (5*z - 5*z + 2*z)*((4*z**2 - z**2 - 4*z**2)*(-z**2 + 0*z**2 + 0*z**2) + 6*z**4 + 7*z**4 + 3*z**4).
34*z**5
Expand (-i**2 + 0*i + 0*i)*(-3 - 1 + 5) - 6 - i**2 + 6.
-2*i**2
Expand -5*g**2 + 0*g**2 + 4*g**2 + (5 + 0 - 3)*(-6*g**2 + 5*g**2 + 2*g**2) - 3 + 3 + 2*g**2.
3*g**2
Expand -18*w**3 + 5*w**3 + 147*w**4 - 145*w**4 + (-2*w**2 + 0 + 0)*(-5*w**2 - w**2 + 5*w**2).
4*w**4 - 13*w**3
Expand (3*r - 3*r + r)*(-3 + 3 - 1 + (-4 + 1 + 1)*(1 - 1 - 2))*(r - 3*r + 0*r).
-6*r**2
Expand (g - 2*g + 3*g)*(g**4 + 2*g**2 - 2*g**2) + g**3 + 2*g**5 - g**3 + 2*g**5 + 3*g**5 - 4*g**5.
5*g**5
Expand (-7*p**2 + 2*p**2 + 6*p**2 - 15*p)*(2*p**2 + p**2 + 0*p**2)*(2 - 1 + 0)*(5 - 2 - 1).
6*p**4 - 90*p**3
Expand (7 - 7 + 22*l)*(2*l**2 - l**4 - 2*l**2 + (6*l**4 + 0*l**4 - 4*l**4)*(0 + 1 + 2)).
110*l**5
Expand (0*c - 3*c + 4*c)*(-4*c + 0*c + 3*c)*(3*c**2 - 6*c**2 - 5*c**2).
8*c**4
Expand (5*c - c - 3*c + (9*c - 1 + 1)*(-6 + 6 + 4))*(5 + 0 - 3)*(-c + c + c).
74*c**2
Expand (3 - 3 + 2)*(y**2 + 0*y**2 - 2*y**2 + (0*y + 0*y - 2*y**2)*(-1 + 0 - 1) - 1 + 1 + y**2 - y**2 + 4*y**2 - 2*y**2)*(2*y - 2*y - y).
-10*y**3
Expand (-2 - 1 + 1 + (0 + 1 - 2)*(3 - 2 + 0) - 3 - 2 + 3)*(-2*y**3 + y**4 + 2*y**3).
-5*y**4
Expand (-i - i + 0*i)*(3*i**4 + 0*i**2 + 3*i**2 + i**2).
-6*i**5 - 8*i**3
Expand (-s - 1 + 1)*(1 + 3 - 2).
-2*s
Expand (-20 + 3 + 12)*(2*r**2 + r**4 - 2*r**2 + r**3).
-5*r**4 - 5*r**3
Expand (n**3 + 6 - 6 - 3)*(-4*n - 2*n + 3*n).
-3*n**4 + 9*n
Expand (-2*h + 18*h - h)*(7*h**3 - 5*h**2 + 6*h**2 - 4*h**3).
45*h**4 + 15*h**3
Expand (0*w**3 - 2*w**3 + 3*w**3)*(25*w**2 - 12 + 12).
25*w**5
Expand 0*a + a + a + (4 - 1 - 4)*(a + 0 + 0) + 4*a - 2*a - 3*a + 0*a - 2*a + a - 3 - a + 3 - 2*a + 3*a - 3*a + a - 1 + 1 + (-4 + 1 + 2)*(-a - 4 + 4).
-2*a
Expand -4*t**3 + 3*t**3 + 3*t**3 - 1400 + 1400 + 47*t**3 + (t - 5*t + 2*t)*(-3*t**2 + 4*t**2 - 2*t**2).
51*t**3
Expand (-6*s + 2*s + 3*s)*(-3*s**2 - 3*s**2 + 4*s**2) + 3*s - 3*s**3 - 3*s + 3*s**3 - 10*s**3 - 8*s**3.
-16*s**3
Expand (2*h + h - 5*h)*(h**2 - 3*h**2 + 3*h**2) - 4*h**3 + 4*h**3 - 5*h**3.
-7*h**3
Expand -2 - 4*n + 2 + (0 - 5 + 3)*(-n + n + n) + (-3 + 1 + 0)*(n - 5*n + 0*n).
2*n
Expand ((-b - 3*b + 9*b)*(0 + 2 + 1) - 2*b - 1 + 1)*(0*b**4 + 2*b**4 - b**4).
13*b**5
Expand (8 - 3 - 2)*(0*b**2 + 0*b**2 - 6*b**3 + 4*b - 2*b**3 - 4*b + (-2*b - 2*b + 3*b)*(b**2 + 0*b**2 - 2*b**2))*(2 - b**2 - 2).
21*b**5
Expand (9 - 4*p**2 - 10 - 5)*(-7 - p**2 + 7) - 4*p**4 + p**4 + p**4.
2*p**4 + 6*p**2
Expand (0 + 0 - x)*(0*x**3 + 2*x**3 - 3*x**3 + (5*x**3 - 5*x**3 - 2*x**3)*(-2 + 2 - 3)).
-5*x**4
Expand (-6*b + 0*b + b)*(2*b**2 + 7*b**2 - 3*b**2).
-30*b**3
Expand (-3 + 3 + d**2)*(-15 + 24 + 24).
33*d**2
Expand 1 - 1 - 2*x**2 + (2 - x - 2)*(-5*x + 5*x + x) + 3*x**2 - 2*x**2 - 3*x**2 + (2*x + x + x)*(2 + 2*x - 2).
3*x**2
Expand (2*n**2 + n - n)*(0*n**2 + 0*n**2 + 2*n**2) - 1 + 2*n**4 + 1.
6*n**4
Expand -p - 1 - 1 + 0 + (1 - 3 + 3)*(0*p + 2*p - 4*p) - p - 5*p + 3*p.
-6*p - 2
Expand (0*n + 3*n - 2*n)*((-n - 4*n + 6*n)*(1 - 1 + 2) + (18 + 14 - 39)*(4*n - 3*n - 3*n)).
16*n**2
Expand (3 + 1 - 6)*((-3 - 1 + 3)*(2*p**2 - 4*p**2 + 3*p**2) - 4*p**2 - p**2 + 2*p**2 + 8 + 4 + 2*p**2 - 16).
4*p**2 + 8
Expand (-22 + 0 + 8)*(-3 + k**3 + 3).
-14*k**3
Expand -2*l**4 + 2*l**2 - 2*l**2 + (2*l + 0*l + 0*l)*(-2*l + 2*l - l**3) + 5*l**4 - 8*l + 8*l + (0 + 2 - 4)*(-l**4 - 4*l**4 + 3*l**4) + 0 + 0 - 2*l**4.
3*l**4
Expand (2*t + 0*t - t)*(38 + 20 - 17).
41*t
Expand 5 + 2*h - 5 + (3*h + 0*h - 2*h)*(2 + 1 + 2).
7*h
Expand -g**5 + 0*g**5 + 0*g**5 + (-8 - 4 - 13*g**2 + 10)*(g**3 + 2*g - 2*g).
-14*g**5 - 2*g**3
Expand (3*b - 33*b - 12*b)*(-1 - 1 + 0).
84*b
Expand (2 + 0 + 6 + (2 - 3 + 0)*(2 - 1 + 0) - 2 - 2 + 2)*(-1 + 0 - 1)*(2*p - 1 + 1).
-20*p
Expand 2 - 2139*g + 3*g**3 + 2*g**4 + 2139*g + (2*g - 2*g - g)*(3*g**3 + g**3 - 3*g**3).
g**4 + 3*g**3 + 2
Expand -3*h + h + 5*h + (-h - 3*h + h)*(1 - 4 + 1) + (4 - 1 - 6)*(2 + 4*h - 2).
-3*h
Expand ((-3*u - u + 3*u)*(1 + 2 - 4) + 0*u + 4*u - u)*(-89*u + 20*u**2 + 89*u).
80*u**3
Expand -7*c**4 + 2*c**4 + 3*c**4 - 2*c + 5*c**4 + 2*c + 0*c**4 + 0*c**4 + 2*c**4 + (0*c + 0*c - c**3)*(-c - c + 0*c).
7*c**4
Expand (-2 + 0 - 3)*(5*z - 4*z + 5*z)*(z + z - 4*z)*(-3*z + 5*z - 4*z).
-120*z**3
Expand (21 - 3*f - 21)*(0*f**2 + 2*f**2 - f**2).
-3*f**3
Expand -z**2 + 0*z**2 + 3*z**2 + (-3*z + 0*z + z)*(0*z + z - 2*z) + z**2 + 4*z - 4*z + 8*z**2 + 0*z + 0*z + 3*z**2 + z**2 - 6*z**2.
11*z**2
Expand x**5 - 3*x**4 + 3*x**4 + (18*x + 10 - 10)*(4 - 4 - 6*x**4).
-107*x**5
Expand (3*f**2 + f**2 - 2*f**2 + (-2*f + 5*f - f)*(2*f - 3*f + 2*f))*(-3*f - f + f)*(-4*f**2 - f**2 + 7*f**2).
-24*f**5
Expand (1 - 5 + 2)*(35 + s - 35)*(-3*s**4 - 2*s**4 + 2*s**4).
6*s**5
Expand -4*o**3 - 2*o**3 + 4*o**3 + (3*o - 7*o + 2*o)*(0*o**2 + 5*o**2 - 3*o**2) + 3*o**3 - o**3 - 3*o**3 + 0*o**3 + 5*o - 3*o**3 + o**3.
-9*o**3 + 5*o
Expand (3*o - 3*o + 1 - o**2)*(2*o - 12*o - 16*o).
26*o**3 - 26*o
Expand 18*b - b**5 + 2*b**4 - 18*b + (-5*b**2 - 4*b + 4*b)*(-b**2 + b**3 + b**2).
-6*b**5 + 2*b**4
Expand (26 + 26*l**2 - 26)*(-3*l + l + 0*l).
-52*l**3
Expand -3*b**4 + 3*b**4 + b**4 + 4*b - b**4 - 4*b + (4*b + b**4 - 4*b)*(-1 + 0 + 0) + b**2 + b - 3*b**4 - 2*b**3 - b**2.
-4*b**4 - 2*b**3 + b
Expand 0*x - 3*x + 2*x + (-1 + 0 + 4)*(-2*x + 0*x + 4*x).
5*x
Expand (-5*c**2 + 2*c**2 + c**2)*(-c**3 + 0*c**3 + 0*c**3) + 7 - 7 - 3*c**5 + 2*c**5 - 4*c**5 + 4*c**5 + 1.
c**5 + 1
Expand -28*b - 2*b**2 - 4 + 27*b + 1 + (1 - 2*b - 1)*(-2*b - 2*b + 2*b).
2*b**2 - b - 3
Expand (-o**2 - 2*o**4 + o**2)*(-5 - 1 + 1).
10*o**4
Expand (2*p - 5*p + 2*p)*(4 + 0 + 0) + (3 - 6 + 1)*(-1 - p + 1).
-2*p
Expand (p**3 - p**2 + p**2)*(0 - 3 + 1) - 92 + 2*p - 2*p**3 + 64 + 0*p**3.
-4*p**3 + 2*p - 28
Expand (-3*s - 4*s + 3*s)*(-3*s + 6*s - 2*s).
-4*s**2
Expand (2*h + 2*h - 2*h)*(-5 + 1 + 5)*(-6*h - 27 + 27).
-12*h**2
Expand (2391*k - 2391*k - 54*k**2)*(k + 3*k - 3*k)*(-2*k + 0*k + k).
54*k**4
Expand (-2 + 3 - 2 + 3*s)*(-3*s + 2*s - 4*s).
-15*s**2 + 5*s
Expand (-4 - g + 4)*(-4*g**3 - 2*g**3 + 4*g**3) + (-4 + 4 - 2*g**2)*(-2*g**2 - g**2 - g**2).
10*g**4
Expand -4*k - 2 + 2 + (5 - 3 + 4)*(-3 + k + 3).
2*k
Expand (0*u - u + 2*u)*(2*u**2 + 3*u**2 - u**2) + (-u - u + u)*(0*u - 2*u**2 + 0*u) + 0*u**3 + 4*u**3 - 3*u**3.
7*u**3
Expand ((-3 + 2 + 5)*(0*u + u + u) + u + 0 + 0)*((1 + 0 + 1)*(-2*u + 3*u + 0*u) + 0*u + 3*u - 2*u - 2*u + 0*u + 0*u).
9*u**2
Expand (2*w**2 - 3 + 3)*(-12*w**2 + 8*w**2 - 12*w**2).
-32*w**4
Expand (2*z + 2 - 4 + 1)*(3 - 2 - 4).
-6*z + 3
Expand (-2 + d + 2)*(-4*d**2 + 0*d**2 + 3*d**2) + 2*d**3 + 0*d**3 + 0*d**3.
d**3
Expand (0 + 0 - 5)*(-2*c + 2*c + 5*c**5 + (c**4 - c**4 + c**4)*(0*c + 3*c - c)).
-35*c**5
Expand (5 - 1 - 2)*(2*p + p + p - 2*p + 3*p + p + (p + 0 + 0)*(-1 + 3 - 3)).
10*p
Expand (3 - 6 + 2)*(-5 + 2 + 0)*(2 - 2 - 3*s).
-9*s
Expand (-s + 2*s + s)*(-94 + 214 - 74).
92*s
Expand 3*z + 1 - 1 + (-z + 2*z - 3*z)*(-2 + 1 + 3).
-z
Expand (-k**4 + 5*k**4 - 2*k**4)*(-1 + 1 - 2*k) + (2*k**4 - 3*k**4 - k**4)*(-1 + 1 + 2*k) + 3*k**2 - 3*k**2 - 5*k**5.
-13*k**5
Expand (6 - 1 - 1)*(-9*c - 14 + 14).
-36*c
Expand (-2*q + 2 - 2)*(3 - 3 + 3)*(-2 + 4*q + 2).
-24*q**2
Expand (6*p**2 - 2*p**2 - 2*p**2)*(-3*p**2 + 3 - 3) + (0*p**3 - 3*p**3 - p**3)*(0*p + 5*p - 3*p).
-14*p**4
Expand (-v + v - 2*v)*(-3*v - 5*v + v).
14*v**2
Expand (6 - 6 - 2*z)*(1 - 1 - 2) + (2 - 3 + 2)*(-3*z + 3*z - z).
3*z
Expand (-3 - 2*a + 0 + 1)*(-2 + 1 - 4)*(4 - 1 - 2).
10*a + 10
Expand -2*x**3 + 3*x - 3*x + (19 - 19 + 11*x)*(2*x**2 + x**2 - 2*x**2).
9*x*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 25*g*j**2 - 2*j**2*o**2 + 2*j**2 wrt g.
-f*j**2*o**2 + 3*f*j + 25*j**2
What is the third derivative of 1590*r**3 - 1000*r**2 wrt r?
9540
What is the second derivative of -77*u**3*x - 2*u**2*x - 5*u*x + 28*x + 1 wrt u?
-462*u*x - 4*x
What is the second derivative of -39*v**5 - 342*v**2 - 15404*v?
-780*v**3 - 684
What is the second derivative of -734*j**5 + 3*j - 30 wrt j?
-14680*j**3
Find the second derivative of -114*g*y**5 + 4*g*y - 81*g - 7*y**4 wrt y.
-2280*g*y**3 - 84*y**2
What is the second derivative of 16*b**2*x + 2*b*x - 2*x - 33 wrt b?
32*x
Differentiate z**3 + 525*z - 3390 with respect to z.
3*z**2 + 525
What is the second derivative of 18259*s**2 + 7*s - 92 wrt s?
36518
Differentiate -2397*n*p**2*z - p**2*z + 2047*z with respect to n.
-2397*p**2*z
What is the third derivative of -607*x**4 + 1498*x**2?
-14568*x
What is the third derivative of -3424*d*t**5 - 96*d*t**2 + d - t**5 - 4*t**2 wrt t?
-205440*d*t**2 - 60*t**2
Differentiate 6*z**4 - 3*z**3 + 57 with respect to z.
24*z**3 - 9*z**2
Find the second derivative of -2*a**3*h**2*x**3 - 2*a**3*h*x - 5*a**3*x**3 + 94*a**2*h**2*x**3 - 2*a**2*h wrt h.
-4*a**3*x**3 + 188*a**2*x**3
Find the second derivative of 720*j**4 - 466*j wrt j.
8640*j**2
What is the second derivative of 240*v**2 + 475*v - 2 wrt v?
480
What is the second derivative of 26*c*d**3*w + c*d**2*w + 9*c*d*w**2 - 2*c*w + 2*c - 7*d**3*w**2 wrt w?
18*c*d - 14*d**3
Differentiate -29*d*w**2 + 31*w**2 wrt d.
-29*w**2
What is the second derivative of 4*h**3 - 28*h**2*s + 12*h**2 + 647*h*s wrt h?
24*h - 56*s + 24
What is the derivative of b**2 - 14521*b - 14339?
2*b - 14521
What is the derivative of -1003*c**2*h - 1197*c**2 wrt h?
-1003*c**2
Find the second derivative of o**3*t**3 - 78*o**3*t - 135*o*t**3 + 19*t wrt t.
6*o**3*t - 810*o*t
Find the first derivative of -52*p**2 - 43*p - 10461.
-104*p - 43
Differentiate -2*f**2 + f*q*r + 50*f*r - 4*q*r + q + 83 wrt f.
-4*f + q*r + 50*r
What is the second derivative of -183*i**5 + 3*i**4 - 2*i**2 + 35*i + 16?
-3660*i**3 + 36*i**2 - 4
What is the third derivative of 34*b*k*n**3*t - 2*b*k*t - 2*b*n**3*t + b*n**2*t - b*n**2 + 5*k*n**2*t - k*n**2 wrt n?
204*b*k*t - 12*b*t
Differentiate 2*c**3*w - 283*c**3 - 177*c**2*w wrt w.
2*c**3 - 177*c**2
Find the third derivative of -7601*j**3 - 14832*j**2.
-45606
Find the third derivative of -15350*l**3 + 2240*l**2 - 2*l + 1.
-92100
Find the first derivative of -297*a**3 - a**2 - 387 wrt a.
-891*a**2 - 2*a
Find the second derivative of o*v**3 - 3*o*v + o - 2*v**3 + 62*v**2 wrt v.
6*o*v - 12*v + 124
What is the derivative of 3476*z**4 - 1949?
13904*z**3
Find the third derivative of -962*h**4 + 81*h**2 - 2*h wrt h.
-23088*h
What is the second derivative of -2*a**3*c**3 + 142*a**3*c**2 - a**3*c - 9*a**2*c - 5 wrt c?
-12*a**3*c + 284*a**3
What is the derivative of 2*t*w - 35*t - 77*w + 2 wrt w?
2*t - 77
Differentiate -150*d**2*h**3*l - 22*d**2*h**2 + d**2*l + 2*d*h**3 with respect to l.
-150*d**2*h**3 + d**2
Differentiate 309*i**3 + 19*i**2 + 1544.
927*i**2 + 38*i
Find the first derivative of 593*c*p**2 - 14*p**2 - 8*p wrt c.
593*p**2
What is the second derivative of -50*p**2 - 4*p + 2 wrt p?
-100
Find the second derivative of -212*w**3 - w - 113.
-1272*w
Find the second derivative of 881*v**3 + 216*v - 3.
5286*v
Find the second derivative of -2*i**2*p**3*y**3 - 1973*i**2*p*y**3 - 8*i*p**3 + 13*i*p*y**3 - 2*i*y**2 wrt i.
-4*p**3*y**3 - 3946*p*y**3
Find the third derivative of 131*a**3 + 35*a**2 + 3*a wrt a.
786
Find the third derivative of -1178*t**3 + 20295*t**2 wrt t.
-7068
Differentiate 3*l**2*t + 122*l**2 - 2*l - 136*t + 1 with respect to l.
6*l*t + 244*l - 2
Find the third derivative of -m**3*s**3 + 4*m**3*s**2 + 6*m**3 + 4*m**2*s**3 + 4*m*s**4 wrt s.
-6*m**3 + 24*m**2 + 96*m*s
Find the third derivative of 182*p**3 + 508*p**2 wrt p.
1092
What is the third derivative of 9*b**4*w**3 - 10*b**4*w + b**3*w**3 - 2*b**2*w**3 - 2*b*w + 55*w**3 wrt b?
216*b*w**3 - 240*b*w + 6*w**3
Differentiate 2003*v**4 - 5*v**3 - 1320.
8012*v**3 - 15*v**2
Find the second derivative of 4*m**4 - 31*m**2 - 10566*m.
48*m**2 - 62
Differentiate 7*m**2*q + 10*m**2 - 3*m*q**2 + 1819*q**2 with respect to m.
14*m*q + 20*m - 3*q**2
What is the first derivative of 12*q**3 - 12*q**2 + 105 wrt q?
36*q**2 - 24*q
Find the first derivative of 188*g**2 - 154 wrt g.
376*g
Find the first derivative of 2*o**2 + 277*o - 1442 wrt o.
4*o + 277
Find the first derivative of 67*v**2 - 3*v - 236 wrt v.
134*v - 3
Find the first derivative of 69*c - 375.
69
Find the second derivative of -663*g**4*p + 2*g**2 + 24*g*p + 13*p wrt g.
-7956*g**2*p + 4
What is the derivative of -3654*s + 7405?
-3654
Find the second derivative of 141*i**4 + i**3 - i - 642.
1692*i**2 + 6*i
What is the second derivative of -f*t**3 - 3164*f*t + 236*t**3 - 2*t wrt t?
-6*f*t + 1416*t
Find the second derivative of -1389*h**4 + h**3*s - 2*h + 3*s - 284 wrt h.
-16668*h**2 + 6*h*s
Find the third derivative of -j**4 - 960*j**3 - 45*j**2 + 15*j wrt j.
-24*j - 5760
What is the second derivative of -332*j**5 - 488*j?
-6640*j**3
What is the second derivative of 2998*o**2 - 3379*o?
5996
What is the derivative of -11*c**3 - 3*c**2 + 610 wrt c?
-33*c**2 - 6*c
What is the derivative of 5537*b + 2687?
5537
What is the third derivative of 37*r**4 + 818*r**2 wrt r?
888*r
Find the second derivative of -3619*s**2*v**3 + 52*s*v**2 + s*v - 2*v**3 - v**2 wrt s.
-7238*v**3
What is the second derivative of -28*g**3*r**3 - g**2*r**2*y**2 - g**2 - 6*g*r**3*y**2 + g*r**2*y - 11*r*y**2 wrt g?
-168*g*r**3 - 2*r**2*y**2 - 2
What is the first derivative of -71*s**4*u**2 + 11*s**3*u**3 + 5*u**3 + 129*u**2 wrt s?
-284*s**3*u**2 + 33*s**2*u**3
What is the second derivative of -69*p**2*u**3 - 2*p**2*u + 9*p**2 + 3*p*u**3 - 2*p + 6*u**2 wrt u?
-414*p**2*u + 18*p*u + 12
What is the second derivative of -3*b**3*z**2 - b**3 - 2*b**2*z**2 + 7*b*z**2 wrt b?
-18*b*z**2 - 6*b - 4*z**2
Find the third derivative of 2*k**4*p**2 - 106*k**3*p**2 - 2*k**2 + 57*p**2 wrt k.
48*k*p**2 - 636*p**2
Find the third derivative of -3*i**3*o*r**3 + 2*i**3*r - 107*i**2*r**2 - 72*o*r**3 + o wrt r.
-18*i**3*o - 432*o
Find the second derivative of -a**5*k + 10*a**4*k**2 - 4*a*k**2 wrt a.
-20*a**3*k + 120*a**2*k**2
Differentiate -10*d**2*j**3 + 351*d**2 + 27968*j**3 wrt d.
-20*d*j**3 + 702*d
What is the second derivative of 4*b**2*n*r - b**2 + b*n*r - n*r + 11*n wrt b?
8*n*r - 2
Find the first derivative of -237*j**2*k - 202*j**2 + 1 wrt k.
-237*j**2
What is the third derivative of -51*o**5*x - o**4*x + 7*o**3*x + 1013*o**2*x wrt o?
-3060*o**2*x - 24*o*x + 42*x
Find the second derivative of -2*a**2*i**2 - 22*a**2*i*m**3 - 4*a*i**2*m**2 + a*i**2*m + 15*a*m**3 wrt a.
-4*i**2 - 44*i*m**3
What is the third derivative of -3873*a**2*c**3*f**2 - a**2*c**2*f - 101*a**2*f + a*f + 3*c**2*f**2 wrt c?
-23238*a**2*f**2
What is the third derivative of -2*d**5*s - d**4*s + 12*d**3 - 7*d**2*s - 2*d**2 wrt d?
-120*d**2*s - 24*d*s + 72
What is the third derivative of 333*p**5 + 478*p**2?
19980*p**2
Find the third derivative of -133*x**6 - 301*x**2.
-15960*x**3
Differentiate x**4 - 80 wrt x.
4*x**3
Find the second derivative of -2*w**4 - 16*w**2 + 167*w.
-24*w**2 - 32
Differentiate -6*n**3 + 30*n**2 - n + 11075 with respect to n.
-18*n**2 + 60*n - 1
Find the first derivative of 1011*w**3 + 2742.
3033*w**2
What is the second derivative of -l**2*o**2 + 97*l**2*o + 2*l**2 + 45*l*o**2 wrt o?
-2*l**2 + 90*l
What is the derivative of 2*c*j*u**2 + 2*c*u**2 - 22*c + j*u**2 + 4*j + 57*u + 1 wrt u?
4*c*j*u + 4*c*u + 2*j*u + 57
What is the third derivative of -2*i**2*m**4 + 4*i**2*m**2 + 58*i**2*m + i*m**2 + 2*m**5 wrt m?
-48*i**2*m + 120*m**2
What is the derivative of i**3*u**2 + 15*i**3 + 21*i**2*u**2 - 3*i**2*u - 10*i wrt u?
2*i**3*u + 42*i**2*u - 3*i**2
What is the derivative of 15*m**3*z**3 - 91*m**3 - 5*z**3 + 2 wrt z?
45*m**3*z**2 - 15*z**2
What is the derivative of -885*i - 791 wrt i?
-885
What is the second derivative of -2*h**2*j**2*l - 11*h**2*j*l**2 + 2*h*j**2*l**2 - 2*h*j*l**2 - 4*j**2*l**2 + 2*j*l**2 wrt j?
-4*h**2*l + 4*h*l**2 - 8*l**2
What is the second derivative of -23397*a**2*z + a*z + 193*z - 3 wrt a?
-46794*z
What is the second derivative of 5169*x**2 + 5517*x?
10338
What is the second derivati
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{
"pile_set_name": "DM Mathematics"
}
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t(z(s))?
-18*s
Let q(z) = -7*z. Let g(m) = -85*m**2 + 11*m - 39*m + 12*m + 16*m. Determine g(q(i)).
-4165*i**2
Let c(o) be the first derivative of o**5/15 + 14*o**3/3 + 14. Let a(p) be the third derivative of c(p). Let s(x) = x**2. Determine s(a(f)).
64*f**2
Let c(m) = -5*m. Let k(j) = -2*j**2 - 26949*j. What is c(k(z))?
10*z**2 + 134745*z
Let v be 2 - (8/(-4) + 2). Let f(b) = 79*b**v - 36*b**2 - 44*b**2. Let s(i) = -i. What is s(f(n))?
n**2
Let i(m) = 5*m + 6. Let d = -58 - -64. Let b(s) = 4*s + 5. Let k(v) = d*b(v) - 5*i(v). Let q(r) = -6*r. What is k(q(h))?
6*h
Let s(t) = -2*t. Let f(u) = -2*u**2 + 4*u - 27. Let d(v) = -5*v**2 + 9*v - 55. Let x be 18/(4/(-2))*1. Let r(h) = x*f(h) + 4*d(h). Give r(s(b)).
-8*b**2 + 23
Let f(a) = 121*a**2 + 8. Let h(l) = 11*l - 3*l - 8*l - 2*l. What is h(f(j))?
-242*j**2 - 16
Let h(s) = -6*s + 2*s + 3*s. Suppose 3 = z - b, 2*z + 7*b - 3*b = -12. Let q(f) = 0*f - 4*f - 2*f + z*f. What is h(q(y))?
6*y
Suppose 6*j - 7*j + 2 = 0. Let q(g) = 47*g + g**j - 47*g. Let s(y) = -y. Let c(a) = -4*a. Let k(r) = -4*c(r) + 14*s(r). Calculate q(k(i)).
4*i**2
Let i(n) = -3*n**2 + 65*n + 26. Let a be i(22). Let d(l) be the second derivative of -10*l + 0*l**3 + 5/12*l**a + 0*l**2 + 0. Let v(q) = -2*q**2. Give v(d(h)).
-50*h**4
Let j(s) = 3*s**2 + s - 745. Let p(r) = 7*r. Calculate j(p(t)).
147*t**2 + 7*t - 745
Let k(p) = -3*p**2. Let c(y) be the first derivative of 73*y**3/3 - 145. What is k(c(z))?
-15987*z**4
Let u(o) = o**2 - 1. Let d(q) = 5*q**2 - 2. Let s(i) = 2*d(i) - 4*u(i). Let a = 5 + -3. Let w(h) = a*h - 28 + 28. Determine s(w(x)).
24*x**2
Suppose -8 = w + 4*t, -3*w = -5*w - 4*t. Let v(o) = 10*o**2 - 7 - 1 + w. Let g(z) = 2*z**2. Calculate v(g(b)).
40*b**4
Let c(w) = 2*w - 282. Let d(u) = -22*u. What is d(c(z))?
-44*z + 6204
Let i(b) = 646*b**2. Let v(j) = -173*j. Calculate v(i(f)).
-111758*f**2
Let l(q) = -q**2 + 1. Suppose 2*v - 8 + 4 = 0. Let o(x) = -48 + 2*x**v + 48. Give l(o(d)).
-4*d**4 + 1
Let c(t) = -7312*t - 182. Let k(v) = -v. Calculate k(c(i)).
7312*i + 182
Let l(m) = 6*m**2. Let i(n) = -9*n**2 - 6. Let x(h) = 16*h**2 + 11. Let w(g) = -11*i(g) - 6*x(g). Determine l(w(j)).
54*j**4
Let b(q) = -518*q. Let m(h) = -3*h**2 + 5. Calculate b(m(l)).
1554*l**2 - 2590
Let p(n) = -5*n. Let i = 688 - 688. Let v(f) be the third derivative of 0 - 1/8*f**4 + i*f + 0*f**3 + 9*f**2. Determine p(v(z)).
15*z
Let v(x) be the first derivative of 4*x**2 - 783. Suppose 0 = -3*a - a + 12. Let l(u) = -a*u + 2*u**2 + 3*u. What is l(v(s))?
128*s**2
Let g(u) = u**2. Let q(z) = 14838*z + 10. What is q(g(x))?
14838*x**2 + 10
Let m(z) = 2*z. Let s(t) = 746521*t**2. What is m(s(v))?
1493042*v**2
Let x(v) = 3*v. Let f(h) = h. Let u(l) = 8*f(l) - 3*x(l). Let n(q) = -64*q. What is n(u(o))?
64*o
Suppose 4 = 2*c, 3*k + 4*c - 8*c - 19 = 0. Let x(g) = -7 + k*g + 7 + 5*g. Let y(u) = -2*u**2. Give y(x(o)).
-392*o**2
Let r(m) = 20*m**2. Suppose -c + s = 3*s - 12, 2*c + 5*s - 28 = 0. Let x(w) = c*w + 248 - 248. Give x(r(f)).
80*f**2
Let c(f) = 155705*f. Let v(d) = -d**2. What is c(v(m))?
-155705*m**2
Let o(i) = 2*i. Let f be ((-12)/15)/(8/(-20)). Let m(b) = 3 + f*b + 0*b - 3. Give o(m(c)).
4*c
Let o(t) = 404*t**2 - t - 7. Let x(n) = 4*n. What is o(x(j))?
6464*j**2 - 4*j - 7
Suppose 3*l - 2*p - 3188 = -2*l, 4*l - 2540 = -p. Let u(c) = l*c - 636*c - c**2. Let m(k) = k. What is m(u(g))?
-g**2
Let t(v) = 5*v + 2. Let p(u) = -25*u - 11. Let f(c) = 4*p(c) + 22*t(c). Let y(m) = 3*m - 3*m + 2*m. What is y(f(o))?
20*o
Let k(y) = -7*y**2. Let j(m) = -m + 11. Let d be j(8). Suppose -4*w + d*w + 12 = -3*o, 3*o - 15 = 0. Let p(t) = -w*t + 7*t + 18*t. Give k(p(n)).
-28*n**2
Let u(f) = -f**2 - 48*f. Let h(y) = -2*y + 1. Let k(n) = -33*n + 15. Let p(m) = -45*h(m) + 3*k(m). Determine u(p(d)).
-81*d**2 + 432*d
Let r(z) = 9*z**2 + 1. Let g(f) = 5*f + 2. Let i(q) = 21*q + 9. Let h(v) = 9*g(v) - 2*i(v). Calculate r(h(n)).
81*n**2 + 1
Suppose -2*i = 2*o - 7*i - 9, 0 = -o + 4*i. Let n(f) = -3*f - o*f + 12*f. Let h(v) = -8*v. Let b(j) = -9*j. Let a(k) = -6*b(k) + 7*h(k). Calculate a(n(u)).
6*u
Let t(a) = 2*a. Let v(h) be the second derivative of 11*h**4/12 - h - 7. Determine t(v(m)).
22*m**2
Let j(d) = 2*d**2. Let c(t) = -32*t**2 - 5*t + 5. Let s = 79 + -86. Let u(g) = -48*g**2 - 7*g + 7. Let y(f) = s*c(f) + 5*u(f). Give j(y(r)).
512*r**4
Let k(l) = 3*l - 16. Let u(o) = 515*o - 2. Calculate u(k(i)).
1545*i - 8242
Let r(w) = -11*w**2. Suppose -61 = -a + 5*h + 2, -2*h + 234 = 5*a. Let s(p) = -51*p - a*p + 99*p + 4*p**2. Determine s(r(f)).
484*f**4
Let b(f) = -3*f. Let k(s) = s**2 - s + 1. Let h(v) = 6 + 4*v - 10*v + 16*v**2 + v**2. Let u(j) = h(j) - 6*k(j). What is u(b(z))?
99*z**2
Let x(n) = 148*n. Let o(j) = -16*j. Let b(s) = 28*o(s) + 3*x(s). Let w(r) = -7*r. Calculate b(w(q)).
28*q
Let k(t) = -1081728*t**2. Let z(s) = 2*s**2. What is z(k(u))?
2340270931968*u**4
Let f(t) = -12*t**2. Let g(q) = q**2. Let l(x) = -f(x) - 15*g(x). Let n(h) = 10*h. Give n(l(r)).
-30*r**2
Let a(l) be the third derivative of -l**5/6 + 7*l**2 - 8. Let r(z) = 13*z. What is a(r(p))?
-1690*p**2
Let w(f) = -10*f. Let d(j) be the first derivative of -4*j**2 - 148. Give w(d(i)).
80*i
Suppose -6*u + 505 = -u. Let w(v) = 101 - u - 53*v. Let d(t) = -2*t. Determine d(w(y)).
106*y
Let x(u) = 54*u**2. Let v(h) = -5*h**2 + 7*h**2 - 9 + 9. Give v(x(d)).
5832*d**4
Suppose 56 = 5*f + n + 3*n, 3*n - 52 = -5*f. Let q(m) = 14*m**2 - 19*m**2 + f*m**2. Let k(d) = -4*d**2 + 6*d**2 + 3*d - 3*d. What is q(k(y))?
12*y**4
Let w(p) = 158*p. Let d(j) = 12*j + 20. Let x(t) = 2*t + 4. Let h(f) = -d(f) + 5*x(f). Give w(h(i)).
-316*i
Let l(o) = -o**2. Let a(p) = 2*p**2 + 1. Let v(z) = 19*z**2 + 15. Let m(t) = -6*a(t) + v(t). Determine l(m(i)).
-49*i**4 - 126*i**2 - 81
Let u(g) = -7*g + 0 + 0. Let f(z) be the third derivative of 0*z**4 + 0 - 16*z**2 + 0*z**3 + 0*z - 1/30*z**5. Give f(u(n)).
-98*n**2
Let d(h) = -h. Let w(b) = 15*b - 2. Let a be w(2). Suppose -4*r = -9*r + 4*u + a, 4*u - 44 = -4*r. Let f(o) = 5*o - 2*o + 4*o + r*o. Give d(f(x)).
-15*x
Let r(a) = -11172*a**2. Let n(c) = 15*c. Give n(r(d)).
-167580*d**2
Let f(v) = -28*v**2. Let d(w) = -14*w**2. Let o(c) = 5*d(c) - 3*f(c). Let x(a) be the second derivative of -2*a**3/3 + 4*a + 24. Give x(o(u)).
-56*u**2
Let d(r) = 1352*r**2. Let s(p) = -59*p. What is s(d(j))?
-79768*j**2
Let a(y) be the second derivative of 11*y**4/4 + 65*y - 2. Let l(z) = -17*z**2. Determine a(l(f)).
9537*f**4
Let j(g) = 49*g**2. Let y(u) = 4*u + 5*u - 7*u. Determine j(y(s)).
196*s**2
Let n(x) = 33*x**2 + 6*x. Let u(m) = 0*m + 6*m + 2*m - 5*m - 2*m. Give u(n(c)).
33*c**2 + 6*c
Let z(t) = 282*t - 1. Let s(o) = -o**2 + 22*o. What is z(s(i))?
-282*i**2 + 6204*i - 1
Let m(f) = 3*f. Let t be ((-8)/(-10))/((-22)/55). Let g(i) = 216*i**2 + 15. Let s(b) = -31*b**2 - 2. Let l(y) = t*g(y) - 15*s(y). Calculate l(m(w)).
297*w**2
Let t(q) = 107*q. Let y(f) be the first derivative of f**3 + 56. Determine y(t(v)).
34347*v**2
Let a(k) = -2*k**2 - 2*k - 1. Let i(d) = 8*d**2 + 10*d + 5. Let q(f) = 5*a(f) + i(f). Let z(p) = 1723*p**2. Give z(q(v)).
6892*v**4
Let d(s) = 22*s + 60. Let l(y) = -11*y - 25. Let c(o) = -3*d(o) - 7*l(o). Let t(q) = 4*q. Calculate t(c(b)).
44*b - 20
Let b(g) = g - g + 5*g. Let u(m) be the second derivative of m**6/720 - 5*m**4/12 - m. Let j(w) be the third derivative of u(w). What is b(j(h))?
5*h
Let z(a) = -4*a**2. Let k(r) = -8*r**2 - r. Let u(d) = 8*d**2 + 4*d. Let m(l) = -3*k(l) - 2*u(l). Calculate m(z(w)).
128*w**4 + 20*w**2
Let y(r) = -17*r**2 - 11*r - 10*r + 55*r**2 - 16*r**2 - 23*r**2. Let b(l) = l**2. Give b(y(i)).
i**4 + 42*i**3 + 441*i**2
Let x(m) = -41*m. Let c(z) = -47*z**2 - 51*z**2 - 52*z**2 + 154*z**2. Give c(x(y)).
6724*y**2
Let b(h) = -19*h. Let x(k) = -489*k**2. Give b(x(t)).
9291*t**2
Let v(n) = -2*n. Let p(y) = -3*y**2 + 7*y + 14. Let o(z) = -z - 1. Let x(b) = -7*o(b) - p(b). Give v(x(g)).
-6*g**2 + 14
Let g(o) = 2*o. Suppose 86 - 21 = 13*y. Let b(f) be the second derivative of 0 + 0*f**2 - y*f + 1/3*f**3. Determine b(g(r)).
4*r
Let r(o) be the third derivative of 1/12*o**4 + 0 + 0*o + 26*o**2 + 0*o**3. Let x(c) be the third derivative of c**4/2 + 3*c**2. Determine r(x(n)).
24*n
Let i(v) = -111*v - 111*v + 221*v. Let x(f) = 2*f - 22. What is i(x(p))?
-2*p + 22
Let l(f)
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{
"pile_set_name": "DM Mathematics"
}
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4*t
What is the p'th term of -38, -76, -102, -110, -94, -48?
p**3 - 45*p + 6
What is the s'th term of 223, 223, 213, 187, 139, 63?
-s**3 + s**2 + 4*s + 219
What is the k'th term of 9, 24, 51, 90, 141, 204, 279?
6*k**2 - 3*k + 6
What is the y'th term of -21, -19, -7, 21, 71, 149, 261?
y**3 - y**2 - 2*y - 19
What is the c'th term of -11, -12, -17, -26, -39, -56?
-2*c**2 + 5*c - 14
What is the i'th term of 53, 90, 131, 176, 225, 278, 335?
2*i**2 + 31*i + 20
What is the b'th term of 26, 49, 74, 101, 130, 161, 194?
b**2 + 20*b + 5
What is the n'th term of -1, 38, 139, 332, 647, 1114, 1763?
5*n**3 + n**2 + n - 8
What is the n'th term of 233, 225, 211, 191, 165, 133, 95?
-3*n**2 + n + 235
What is the p'th term of 31, 48, 67, 88, 111?
p**2 + 14*p + 16
What is the m'th term of 45135, 45134, 45131, 45126, 45119, 45110, 45099?
-m**2 + 2*m + 45134
What is the d'th term of -42, -178, -404, -720, -1126, -1622, -2208?
-45*d**2 - d + 4
What is the k'th term of -332, -537, -744, -953, -1164?
-k**2 - 202*k - 129
What is the l'th term of 53, 186, 407, 716, 1113?
44*l**2 + l + 8
What is the z'th term of 17723, 17722, 17721?
-z + 17724
What is the q'th term of 16, 3, -34, -107, -228, -409, -662, -999?
-2*q**3 + q + 17
What is the s'th term of -372, -595, -830, -1083, -1360, -1667?
-s**3 - 216*s - 155
What is the b'th term of -32, -33, -34, -35, -36, -37?
-b - 31
What is the k'th term of 2611, 5220, 7829, 10438, 13047?
2609*k + 2
What is the o'th term of 513, 515, 517?
2*o + 511
What is the k'th term of -77, -75, -73, -71, -69?
2*k - 79
What is the z'th term of -54, -56, -58, -60, -62?
-2*z - 52
What is the b'th term of -150, -165, -180, -195?
-15*b - 135
What is the u'th term of 739, 777, 817, 859?
u**2 + 35*u + 703
What is the m'th term of 227, 339, 533, 815, 1191?
m**3 + 35*m**2 + 191
What is the b'th term of -659, -658, -657, -656, -655, -654?
b - 660
What is the b'th term of -139, -165, -207, -265, -339, -429?
-8*b**2 - 2*b - 129
What is the x'th term of -86, -98, -124, -170, -242, -346, -488, -674?
-x**3 - x**2 - 2*x - 82
What is the u'th term of 24, 46, 90, 162, 268, 414, 606, 850?
u**3 + 5*u**2 + 18
What is the b'th term of 7, 33, 59, 85, 111?
26*b - 19
What is the i'th term of 1, 24, 75, 160, 285?
i**3 + 8*i**2 - 8*i
What is the v'th term of -5, -5, -1, 7, 19, 35?
2*v**2 - 6*v - 1
What is the q'th term of -12, -46, -116, -240, -436, -722, -1116?
-3*q**3 - 13*q + 4
What is the g'th term of -14, -26, -38, -50, -62, -74?
-12*g - 2
What is the h'th term of -738, -737, -736, -735, -734, -733?
h - 739
What is the l'th term of 532, 1052, 1546, 2002, 2408, 2752, 3022, 3206?
-2*l**3 - l**2 + 537*l - 2
What is the m'th term of -541, -531, -515, -493?
3*m**2 + m - 545
What is the f'th term of 0, 5, 12, 21, 32, 45?
f**2 + 2*f - 3
What is the p'th term of 6, 35, 54, 57, 38?
-p**3 + p**2 + 33*p - 27
What is the h'th term of -205, -195, -177, -151, -117?
4*h**2 - 2*h - 207
What is the r'th term of -1299, -1298, -1297, -1296, -1295, -1294?
r - 1300
What is the y'th term of 2300, 4604, 6912, 9224, 11540?
2*y**2 + 2298*y
What is the g'th term of -69, -142, -215?
-73*g + 4
What is the w'th term of 40, 101, 164, 229?
w**2 + 58*w - 19
What is the i'th term of 67, 124, 181?
57*i + 10
What is the n'th term of 108, 191, 288, 405, 548, 723?
n**3 + n**2 + 73*n + 33
What is the m'th term of 345, 693, 1041, 1389, 1737, 2085?
348*m - 3
What is the p'th term of -4543, -4540, -4537, -4534, -4531, -4528?
3*p - 4546
What is the c'th term of -19, -7, 31, 107, 233, 421, 683, 1031?
2*c**3 + c**2 - 5*c - 17
What is the y'th term of -32, -6, 6, -2, -36, -102?
-y**3 - y**2 + 36*y - 66
What is the q'th term of -12, -25, -54, -105, -184, -297?
-q**3 - 2*q**2 - 9
What is the x'th term of -5, -25, -53, -83, -109, -125?
x**3 - 10*x**2 + 3*x + 1
What is the v'th term of 16484, 32965, 49448, 65933, 82420, 98909, 115400?
v**2 + 16478*v + 5
What is the x'th term of 2948, 2946, 2944, 2942, 2940, 2938?
-2*x + 2950
What is the c'th term of 80, 293, 640, 1121, 1736?
67*c**2 + 12*c + 1
What is the t'th term of -14, -11, -8, -5, -2, 1?
3*t - 17
What is the o'th term of 103, 102, 101, 100, 99, 98?
-o + 104
What is the n'th term of 46, 111, 212, 367, 594, 911, 1336?
3*n**3 + 44*n - 1
What is the l'th term of 42, 33, 18, -3, -30?
-3*l**2 + 45
What is the s'th term of 61, 225, 491, 853, 1305?
-s**3 + 57*s**2 + 5
What is the j'th term of 465, 933, 1411, 1905, 2421, 2965, 3543?
j**3 - j**2 + 464*j + 1
What is the l'th term of 4435, 8869, 13303, 17737, 22171?
4434*l + 1
What is the c'th term of 3, 13, 31, 57, 91?
4*c**2 - 2*c + 1
What is the l'th term of 26233, 52467, 78701?
26234*l - 1
What is the r'th term of -3593, -7189, -10785, -14381, -17977?
-3596*r + 3
What is the y'th term of -470, -914, -1334, -1718, -2054, -2330, -2534?
2*y**3 - 458*y - 14
What is the y'th term of -4, -20, -74, -184, -368, -644, -1030, -1544?
-3*y**3 - y**2 + 8*y - 8
What is the b'th term of 298, 295, 290, 283, 274?
-b**2 + 299
What is the a'th term of 127, 490, 1093, 1936, 3019, 4342?
120*a**2 + 3*a + 4
What is the t'th term of 606, 1212, 1818, 2424, 3030?
606*t
What is the r'th term of 53, 66, 87, 116, 153, 198, 251?
4*r**2 + r + 48
What is the s'th term of -3, -9, -17, -27?
-s**2 - 3*s + 1
What is the y'th term of 3801, 7604, 11407?
3803*y - 2
What is the t'th term of -9, -11, -11, -9?
t**2 - 5*t - 5
What is the c'th term of 527, 1052, 1577, 2102, 2627?
525*c + 2
What is the l'th term of 399, 798, 1197, 1596?
399*l
What is the i'th term of 52, 46, 42, 40, 40, 42, 46?
i**2 - 9*i + 60
What is the a'th term of 9, 19, 29?
10*a - 1
What is the w'th term of 33, 96, 189, 312, 465, 648, 861?
15*w**2 + 18*w
What is the m'th term of 8, -6, -20?
-14*m + 22
What is the t'th term of 80, 150, 220, 290, 360?
70*t + 10
What is the l'th term of -11, -10, -9?
l - 12
What is the i'th term of 118, 236, 354?
118*i
What is the n'th term of 82, 322, 722, 1282, 2002, 2882?
80*n**2 + 2
What is the d'th term of -104, -83, -62, -41?
21*d - 125
What is the w'th term of -143, -285, -429, -575, -723, -873, -1025?
-w**2 - 139*w - 3
What is the s'th term of -4, -17, -28, -37, -44, -49?
s**2 - 16*s + 11
What is the l'th term of -35, -26, -17, -2, 25, 70, 139?
l**3 - 6*l**2 + 20*l - 50
What is the w'th term of -143, -137, -141, -161, -203, -273, -377, -521?
-w**3 + w**2 + 10*w - 153
What is the w'th term of -40, -80, -108, -118, -104, -60?
w**3 - 47*w + 6
What is the o'th term of -3045, -6087, -9129?
-3042*o - 3
What is the b'th term of -25474, -25473, -25472?
b - 25475
What is the a'th term of 29, 48, 79, 122, 177?
6*a**2 + a + 22
What is the t'th term of -916, -1836, -2756?
-920*t + 4
What is the m'th term of 848, 1699, 2552, 3407, 4264, 5123, 5984?
m**2 + 848*m - 1
What is the l'th term of -365, -778, -1213, -1682, -2197, -2770?
-2*l**3 + l**2 - 402*l + 38
What is the h'th term of -28, -92, -198, -364, -608, -948?
-3*h**3 - 3*h**2 - 34*h + 12
What is the c'th term of -18, -7, 20, 69, 146, 257, 408, 605?
c**3 + 2*c**2 - 2*c - 19
What is the x'th term of 5, -23, -83, -187, -347, -575?
-2*x**3 - 4*x**2 - 2*x + 13
What is the g'th term of 60308, 60309, 60310, 60311, 60312, 60313?
g + 60307
What is the z'th term of -592, -590, -588, -586, -584?
2*z - 594
What is the z'th term of 203, 357, 499, 623, 723, 793?
-z**3 + 161*z + 43
What is the z'th term of 3, 6, 9, 12?
3*z
What is the u'th term of 20, 36, 52?
16*u + 4
What is the z'th term of 39, 22, -29, -132, -305?
-3*z**3 + z**2 + z + 40
What is the f'th term of -17, -31, -45?
-14*f - 3
What is the y'th term of -624, -628, -632, -636, -640?
-4*y - 620
What is the c'th term of 331, 318, 305, 292?
-13*c + 344
What is the h'th term of -110, -199, -266, -311, -334, -335, -314?
11*h**2 - 122*h + 1
What is the p'th term of 242, 473, 706, 941, 1178?
p**2 + 228*p + 13
What is the a'th term of -452, -454, -456, -458, -460?
-2*a - 450
What is the b'th term of -76, -153, -230, -307, -384, -461?
-77*b + 1
What is the w'th term of 346, 1323, 2958, 5257, 8226, 11871, 16198?
w**3 + 323*w**2 + w + 21
What is the s'th term of 34, 64, 94, 124?
30*s + 4
What is the s'th term of -153, -324, -521, -756, -1041, -1388, -1809, -2316?
-2*s**3 - s**2 - 154*s + 4
What is the o'th term of -254, -255, -268, -299, -354, -439?
-o**3 + 6*o - 259
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
= 38 - 37. Differentiate 2 + 6*l**3 + 7*l**3 + r with respect to l.
39*l**2
Find the third derivative of 76804 - 372*x**2 - 76804 - 179*x**6 wrt x.
-21480*x**3
Let y(s) be the first derivative of -s**6/3 + 163*s**4/4 + 201*s**2/2 + 49. Find the second derivative of y(p) wrt p.
-40*p**3 + 978*p
Differentiate -10*m + 10714*m**2 - 10716*m**2 + 450 + 123 with respect to m.
-4*m - 10
Let j(i) = -i**2 + 10*i - 9. Let r be j(8). Find the second derivative of 9*z - r*z**5 - 4*z**5 + 4*z**5 wrt z.
-140*z**3
Suppose 15 = 5*m - 0*m. Suppose 2*w + m*x + 3 = -5, -4*x - 6 = 5*w. Find the third derivative of -4*v**4 + w*v**4 - 4*v**4 + 2*v**2 + 4*v**4 wrt v.
-48*v
Differentiate 1080*c**3 - 105*c**4 + 1082*c**3 - 2162*c**3 - 18 + c with respect to c.
-420*c**3 + 1
Let b = -35 - -40. Find the third derivative of 5*n**5 + n**2 + b*n**5 - 4*n**5 + 0*n**2 wrt n.
360*n**2
What is the second derivative of -176*q**4 + 9*q**4 - 154*q + 866*q + 34*q wrt q?
-2004*q**2
Let x(g) be the first derivative of -g**5/60 + 3*g**4/8 + g**2/2 - 11. Let d(q) be the second derivative of x(q). What is the second derivative of d(z) wrt z?
-2
Suppose u = 2*p - 4, u = -3*p + 5*u + 1. What is the third derivative of -11*b**4 + 50*b**2 - p*b**4 - 6*b**4 + 4*b**4 wrt b?
-384*b
Let d(j) = -137*j + 132. Let l(o) = 137*o - 133. Let t(u) = -2*d(u) - 3*l(u). What is the first derivative of t(v) wrt v?
-137
Let f(n) be the first derivative of n**6/20 + n**4/2 + 2*n**2 + 7. Let b(w) be the second derivative of f(w). Find the second derivative of b(v) wrt v.
36*v
Let s(o) be the third derivative of 29*o**8/168 - 37*o**4/24 + 35*o**2 - o. Find the second derivative of s(v) wrt v.
1160*v**3
Let v(b) be the third derivative of -23*b**6/30 - 7*b**5/4 + 13*b**2 - 2*b. Find the third derivative of v(j) wrt j.
-552
Let o(d) = 2*d - 11. Let l be o(7). Suppose 0 = l*j - 2*j + 2*r + 8, -j + r = -7. Find the first derivative of 0 + j*s**2 + 6*s**2 + 2 wrt s.
16*s
Suppose 3*j - 7*j + 8 = 0. Suppose 3*d - j*d = 2. What is the derivative of -3*m**4 - 1 + d + 2*m**4 + 5 wrt m?
-4*m**3
Let s(r) = -145*r**3 - 2*r**2 - 8. Let g(u) = 217*u**3 + 4*u**2 + 13. Let y(m) = -5*g(m) - 8*s(m). What is the third derivative of y(c) wrt c?
450
Find the third derivative of -3 - 150*l**2 + 35*l**2 + 34*l**2 + 53*l**2 - 423*l**3 wrt l.
-2538
Let s = 546 - 542. Let t(k) be the first derivative of -k - 11/3*k**3 + s + 0*k**2. Differentiate t(u) wrt u.
-22*u
Suppose 2*j = -j - 5*y + 24, -3*j + 2*y + 3 = 0. What is the derivative of j + 13*x + 19*x - 16*x wrt x?
16
Let x(b) = -237*b**3 + 4*b + 52. Let n(a) = -709*a**3 + 11*a + 157. Let p(z) = -4*n(z) + 11*x(z). Differentiate p(i) with respect to i.
687*i**2
Let k(m) be the first derivative of -m**6/90 + m**4/4 + 8*m**3/3 + 9. Let v(z) be the third derivative of k(z). What is the first derivative of v(g) wrt g?
-8*g
Suppose 0 = 5*c + 2*p - 93, 7*c - 47 = 4*c + p. Let o = -9 + c. What is the first derivative of o*k**4 + 8*k - 12 - 8*k + 0*k wrt k?
32*k**3
Let u(z) be the second derivative of -41*z**5/20 - 19*z**3/6 - 3*z**2/2 + 14*z - 6. Find the second derivative of u(o) wrt o.
-246*o
Let n(v) be the third derivative of -v**7/105 - 49*v**4/12 - 31*v**3/3 + 112*v**2. What is the derivative of n(u) wrt u?
-8*u**3 - 98
Suppose d = 4*l + 2*d - 9, 0 = 4*l - d + 1. Suppose 2*q - 5 = l. Find the second derivative of -54*p**q + 54*p**3 + 2*p**5 - 3*p wrt p.
40*p**3
What is the third derivative of -36*d**3 - 18*d**3 - 8*d**3 - 446*d**2 + 396*d**2 wrt d?
-372
Let m = -57 - -61. Let q(b) = -20*b + 6. Let k(n) = -20*n + 6. Let t(f) = m*q(f) - 3*k(f). What is the derivative of t(v) wrt v?
-20
Let a(n) be the second derivative of -7*n**6/6 + n**3/3 + 65*n**2/2 - 26*n + 2. What is the derivative of a(j) wrt j?
-140*j**3 + 2
Let c(m) = 2*m**2 - 4*m - 1. Let x be c(3). Let t be 2/x - 13/(-5). What is the first derivative of 4 + 0 - 4*y**4 - t + 0*y**4 wrt y?
-16*y**3
Let z(p) = -382*p + 1244. Let n(h) = -574*h + 1865. Let m(t) = -5*n(t) + 7*z(t). What is the first derivative of m(l) wrt l?
196
Let x(m) be the second derivative of 0 + 0*m**2 - 17/12*m**4 - 9*m + 8/3*m**3. What is the second derivative of x(y) wrt y?
-34
Let m(v) be the second derivative of 5/21*v**7 + 0*v**4 + 0 + 10*v + 7/3*v**3 + 0*v**2 + 0*v**5 + 0*v**6. Find the second derivative of m(w) wrt w.
200*w**3
Let t(z) = -15*z + 20. Let j(k) = 16*k - 19. Let w = 16 + -14. Let b(l) = w*j(l) + 3*t(l). Differentiate b(y) with respect to y.
-13
Let y = 39 + -36. What is the third derivative of -3*l + 7*l**2 + y*l + 29*l**4 - 11*l**4 wrt l?
432*l
Find the third derivative of 21*q**4 - 54*q**2 + 17*q - 33*q + 18*q wrt q.
504*q
Let l(i) = 42*i**2 + 53*i - 7. Let a(s) = -42*s**2 - 53*s + 6. Let f(m) = 7*a(m) + 6*l(m). Find the second derivative of f(o) wrt o.
-84
Find the third derivative of 2*u + 26*u**4 - 70*u**4 + 131*u**4 - 2*u**2 wrt u.
2088*u
What is the third derivative of 133*v**2 - 26*v**2 + 516*v**5 + 120*v**2 wrt v?
30960*v**2
Let k(c) = -c**2 + 17*c - 36. Let a be k(13). Let g = 5 + -3. Find the third derivative of -6*d**4 + 11*d**2 + 8*d**g - a*d**2 wrt d.
-144*d
Let f(q) be the third derivative of q**7/105 - 8*q**6/15 - 31*q**4/12 - 20*q**2. Find the second derivative of f(z) wrt z.
24*z**2 - 384*z
Suppose -4*f + 0*f - 12 = -2*b, 2*f - 26 = -b. What is the second derivative of 3963*a**2 - 3963*a**2 - b*a**4 - 28*a wrt a?
-192*a**2
Let j be ((-1)/(12/8))/(2/(-6)). Find the third derivative of -3*r + 35*r**4 - 21*r**4 - 23*r**j + 3*r wrt r.
336*r
Let v(t) be the first derivative of 2*t**6/5 - t**2 + 14*t + 10. Let l(w) be the first derivative of v(w). What is the first derivative of l(f) wrt f?
48*f**3
Let c(q) = q**4 - 2*q**3 + q + 1. Let z(j) = -10*j**4 - 4*j**3 + j + 148. Let v(o) = c(o) - z(o). Find the first derivative of v(p) wrt p.
44*p**3 + 6*p**2
Suppose -5*m - 3*g + 148 = 0, -2*m + 3*m + g - 28 = 0. Let w = -25 + m. What is the second derivative of 6*n**2 - 6*n + 5*n + w*n + 5*n wrt n?
12
Let j(b) = b**5 - b**3 - b**2 + b + 1. Let x(r) = 28*r**5 - 4*r**3 + 8*r**2 - 3*r + 3. Let f(u) = -3*j(u) + x(u). Find the third derivative of f(q) wrt q.
1500*q**2 - 6
Let q(x) = -61*x + 7. Let w(u) = 426*u - 51. Let m(a) = 15*q(a) + 2*w(a). Find the first derivative of m(l) wrt l.
-63
Let b(o) be the first derivative of -287*o**5/5 + 23*o**2 - 89. What is the second derivative of b(w) wrt w?
-3444*w**2
Let c(w) = 2*w**2 - 20*w + 3. Let n be c(13). Differentiate n*m**4 - 19*m**3 - 90*m**4 - 19 + 19*m**3 wrt m.
-36*m**3
What is the derivative of 503 + 204 - 640*i + 237 + 69 - 140 wrt i?
-640
Let p(b) be the second derivative of b**9/168 - b**6/18 - 17*b**3/6 - 4*b. Let v(x) be the second derivative of p(x). Find the third derivative of v(r) wrt r.
1080*r**2
Let z(w) be the first derivative of 23*w**7/7 - 5*w**3 + 26. Find the third derivative of z(p) wrt p.
2760*p**3
Let r(o) = -o**2 - 13*o - 7. Let g be r(-8). Find the third derivative of 43*p**2 - g*p**2 - 23*p**2 - 5*p**6 wrt p.
-600*p**3
Let o be (-135)/18*(-56)/35. Let w(k) be the second derivative of 0*k**2 + 0 + 0*k**3 - 3/20*k**5 - k**4 - o*k. Find the third derivative of w(t) wrt t.
-18
Let s(z) = -40*z**4 + 5*z**3 + 5*z - 5. Let g(u) = 19*u**4 - 2*u**3 - 2*u + 3. Let f(r) = 5*g(r) + 2*s(r). What is the first derivative of f(b) wrt b?
60*b**3
Let a(r) be the first derivative of 13*r - 29/2*r**2 - 6. Differentiate a(x) with respect to x.
-29
What is the first derivative of 174 - 7 + 24*x**3 + 1690*x**4 - 1689*x**4 wrt x?
4*x**3 + 72*x**2
Suppose -18 = -3*a - 3*w, -3*a + 0*a = w - 14. Suppose -2*h - 4*f + 7 = -h, 4*f = a. What is the third derivative of -8*z**2 - h*z**6 + 13*z**6 + z**2 wrt z?
1200*z**3
Let k(i) be the first derivative of i**8/140 - 7*i**4/12 + i**3 + 10. Let w(h) be the third derivative of k(h). Find the first derivative of w(r) wrt r.
48*r**3
Suppose 0 = 75*k - 73*k - 4. Differentiate -1 - 26*t**2 - 8 - 2 + 4*t**k wrt t.
-44*t
Suppose 3 = -2*y + 5*t + 18, 44 = 4*y + 4*t. Differentiate -3*d**3 + 32*d**3 + 4 + 3 + y wrt d.
87*d**2
Let c(i) = 3*i - 9. Let o be c(4). Find the second derivative of 11*l - 11*l**3 - 5*l - o*l wrt l.
-66*l
Let j be 0 - 0 - 0 - 26/(-13). Let l(q) be the first derivative of 2 + 2*q + 5/3*q**3 + 0*q**j. Find the first derivative of l(c
|
{
"pile_set_name": "DM Mathematics"
}
|
the second derivative of -1678*x**4 + x + 472 wrt x.
-20136*x**2
Differentiate -247*b**3*c**3*j - 3*b**3*c**3 + 12*b**2*c**3 - b*c**3*j + 1 with respect to j.
-247*b**3*c**3 - b*c**3
Find the second derivative of a**4*n + 2*a**4 + 2148*a**2 + 2*a*n + a - 414*n wrt a.
12*a**2*n + 24*a**2 + 4296
Find the second derivative of -50*s**5 + 32*s - 2 wrt s.
-1000*s**3
Differentiate -4*b**4 - 108*b**3 - 17560 wrt b.
-16*b**3 - 324*b**2
What is the second derivative of -971*c**4*j - 5*c**4*t**3 + c*j*t + 3*c*t**2 + 86*j*t**3 - 3*j*t - 2*t**3 wrt c?
-11652*c**2*j - 60*c**2*t**3
What is the second derivative of 5*b**5*h**2 - 16*b**3*h**2 - b*h**2 - 137*b wrt b?
100*b**3*h**2 - 96*b*h**2
Find the second derivative of 2*h**5 + 12*h**4 - 17*h**3 - 7*h - 55 wrt h.
40*h**3 + 144*h**2 - 102*h
What is the second derivative of 3*g*s**3*y - 24*g*s**2 - 5*g*s - g*y + s**3*y - 2*s**2*y + 64*s*y wrt s?
18*g*s*y - 48*g + 6*s*y - 4*y
Find the second derivative of -2*l**3*m**2*r + l**3*r - 387*l**3 - l*m**2*r + 2*l*m**2 + 5*l*m*r + r wrt l.
-12*l*m**2*r + 6*l*r - 2322*l
Differentiate -4*l**3 - 4*l - 35 with respect to l.
-12*l**2 - 4
What is the first derivative of 33*s**3 - 12*s - 11731 wrt s?
99*s**2 - 12
What is the third derivative of -679*f**6 - 7*f**2 + 9 wrt f?
-81480*f**3
Find the second derivative of -240*k*x**4 + 2*k*x - 55*k wrt x.
-2880*k*x**2
Find the third derivative of 230*u**5 - 73*u**2 wrt u.
13800*u**2
Find the third derivative of -141*k**6 + 21*k**2 wrt k.
-16920*k**3
Differentiate -2*i**4 + 121*i - 193 wrt i.
-8*i**3 + 121
Find the third derivative of 1725*k**5 + k**4*n + 2*k**2*n + 2344*k*n wrt k.
103500*k**2 + 24*k*n
What is the third derivative of -28*k**6 - 115*k**2?
-3360*k**3
Differentiate -1896*l*o*r + l*r - 3677*o*r + 4*r with respect to l.
-1896*o*r + r
Differentiate -221*b**2*w**2 - b**2 + 232*w**2 + 1 with respect to b.
-442*b*w**2 - 2*b
What is the second derivative of -6*d**3*o**3 - 406*d**3 + 570*d*o**2 - d + o**3 - o wrt d?
-36*d*o**3 - 2436*d
Find the second derivative of 6*b**5 - 35*b**4*x - b**3 + 2*b*x - 97*b - 2*x wrt b.
120*b**3 - 420*b**2*x - 6*b
Find the second derivative of 1287*x**5 - 11*x + 10 wrt x.
25740*x**3
Find the second derivative of 3373*i**2 + 1940*i + 1.
6746
What is the third derivative of -1724*j**6 + 4*j**2 + 64*j wrt j?
-206880*j**3
What is the third derivative of -88*b*x**3 - 2*b*x**2 + 340*b wrt x?
-528*b
Find the second derivative of 4*i**5 + 6*i**4 + i - 2 wrt i.
80*i**3 + 72*i**2
What is the third derivative of -66*q**5 + 122*q**2?
-3960*q**2
Find the second derivative of 3*s**5 - 30*s**4 + 18*s**3 + 21714*s.
60*s**3 - 360*s**2 + 108*s
Find the third derivative of -1203*b**4 - 310*b**2 + b.
-28872*b
What is the second derivative of -2*h*n**2 + 101*h*n + 474*n**2 - n wrt n?
-4*h + 948
Find the second derivative of -d**3*n**3 - 3*d**3*n**2*u - 180*d**3*u**2 - d*n**3*u**2 - 97*u wrt u.
-360*d**3 - 2*d*n**3
What is the second derivative of -2263*r**5 + r**4 + 2*r - 9861 wrt r?
-45260*r**3 + 12*r**2
Find the first derivative of -381*q**2 + 482 wrt q.
-762*q
What is the second derivative of -73*o**5 + 56*o**2 - 1467*o - 1?
-1460*o**3 + 112
What is the third derivative of -b*c**4*s + 10803*b*c**3*s**3 - 18*b*c*s**3 - 2*b*s - 205*c**2*s wrt c?
-24*b*c*s + 64818*b*s**3
What is the second derivative of 19*h**3 + h**2 + 21*h wrt h?
114*h + 2
What is the third derivative of 165*f**2*u**5 + 13*f**2*u**4 - 169*f**2*u + 3*u**2 wrt u?
9900*f**2*u**2 + 312*f**2*u
Differentiate -l*n*p**2 + 107*l*n*p + 2*l*p**2 - 66*l*p - n*p**2 + 23 wrt n.
-l*p**2 + 107*l*p - p**2
What is the third derivative of 2*f**5 + 342*f**4 - 98*f**2 wrt f?
120*f**2 + 8208*f
What is the third derivative of -484*c**4 + 3*c**2 - 3 wrt c?
-11616*c
Find the third derivative of 5104*z**5 + 2*z**3 + 16243*z**2 wrt z.
306240*z**2 + 12
What is the first derivative of 23*k**2*t**2 - 4649*k**2 + 65*k*t**2 wrt t?
46*k**2*t + 130*k*t
Differentiate 1203*a**2 + 744 wrt a.
2406*a
Differentiate 4*f**3*t**3*y + 17*f**3*t*y**3 + 2*f**3*t - 196*f*t**3 + f with respect to y.
4*f**3*t**3 + 51*f**3*t*y**2
Find the third derivative of 1861*u**6 - 1357*u**2.
223320*u**3
What is the third derivative of -766*d**6 - 747*d**2 wrt d?
-91920*d**3
What is the first derivative of -6300*q**2 + 2*q + 3797 wrt q?
-12600*q + 2
Find the second derivative of -195*t**5 - 2*t + 28 wrt t.
-3900*t**3
What is the third derivative of -131*q**3 - 102*q**2?
-786
Find the second derivative of 1820*l**2 - 9*l - 67.
3640
Find the second derivative of -2*d**3*o**2 - 75*d**3*o - 2*d*o - 432*o**2 wrt d.
-12*d*o**2 - 450*d*o
Differentiate -254*z**4 + 2*z**2 - 1611.
-1016*z**3 + 4*z
Find the third derivative of 3*k*q**6 + 21*k*q**4 + 2*k*q + 6*q**3 + 5*q**2 + 16*q wrt q.
360*k*q**3 + 504*k*q + 36
Find the third derivative of -252*i**6 + 8025*i**2 wrt i.
-30240*i**3
What is the first derivative of 15*u**4 + 126?
60*u**3
What is the first derivative of 2*a**4 - 31*a - 825 wrt a?
8*a**3 - 31
What is the third derivative of -482*t**6 - 502*t**2?
-57840*t**3
Find the second derivative of -7470*m**3 - 351*m + 2 wrt m.
-44820*m
Differentiate -13*a**3*b + 31*a**3*l + 2*a**3 + 4*a**2*b*l - 4 wrt b.
-13*a**3 + 4*a**2*l
Find the second derivative of -5*m*t**3 + 8*m*t**2 - 6*m - 7*t wrt t.
-30*m*t + 16*m
Differentiate -98*m**3*y**2 + 3*m**2*y**2 + 233*y**2 with respect to m.
-294*m**2*y**2 + 6*m*y**2
Find the first derivative of -2523*q**4 - 2*q**3 + q + 3586.
-10092*q**3 - 6*q**2 + 1
What is the third derivative of 155*j**6 + 2*j**5 + 598*j**2?
18600*j**3 + 120*j**2
What is the third derivative of 6*a*t**5 + a*t**3 - a*t + 205*a - 7*t**5 + 2*t**2 wrt t?
360*a*t**2 + 6*a - 420*t**2
Find the third derivative of -2*i*l**4 + 388*i*l**3 + 34*i*l**2 + 11*i*l wrt l.
-48*i*l + 2328*i
Find the third derivative of 68*s**6*u**2 + 13*s**4*u**2 - 6*s**2*u**2 + 195*s*u**2 wrt s.
8160*s**3*u**2 + 312*s*u**2
What is the second derivative of -1339*u**5*v + 2*u**4*v**2 + 79*u*v**2 - 2*u*v + 6*u wrt u?
-26780*u**3*v + 24*u**2*v**2
Find the second derivative of b**2*p**3 + b**2*p - 108*b**2 - 88*b*p**4 wrt p.
6*b**2*p - 1056*b*p**2
What is the second derivative of -3*k**4 + 458*k**2*r**3 - 124*k*r**3 + 2*r**3 wrt k?
-36*k**2 + 916*r**3
Find the second derivative of 92*i**2*y**3 + 4*i**2*y + 9*i*y**3 + 55*y**3 wrt i.
184*y**3 + 8*y
Find the third derivative of 2*r**5 - 25*r**3*w*y - 4*r**3*w + 21*r**2 + r*w*y - r*y + r wrt r.
120*r**2 - 150*w*y - 24*w
What is the third derivative of 14*k**6 + 40*k**5*p + 17673*k**2*p wrt k?
1680*k**3 + 2400*k**2*p
What is the derivative of 39*c*l + 158*c + 16*l - 5 wrt l?
39*c + 16
Find the first derivative of -236*b**3 - 2*b**2 + 3675.
-708*b**2 - 4*b
What is the third derivative of 5638*l*x**4 + 2*l*x**3 + 2*l*x**2 + 7260*l - 2*x**4 - 2*x**3 wrt x?
135312*l*x + 12*l - 48*x - 12
Find the second derivative of 1893*p**3 - 2*p**2 - 11009*p.
11358*p - 4
What is the third derivative of d**2*p**3 - 37*d**2 + 3*d*p**2 + 8*p**6 wrt p?
6*d**2 + 960*p**3
What is the second derivative of 9*b**3*v**2 + 31*b**3*v + 2*b**2*v**3 + b**2*v - 2*v**4 + 2*v wrt v?
18*b**3 + 12*b**2*v - 24*v**2
Differentiate -m**3*x**4 - 11*m**3*x**2 - 25*m**3 - 7 wrt x.
-4*m**3*x**3 - 22*m**3*x
What is the third derivative of -5458*r**4 + 15061*r**2?
-130992*r
What is the third derivative of -245*u**4 - u**3 + 2*u**2 - 7*u?
-5880*u - 6
What is the first derivative of 14*k**2*q**3 - 4*k**2 - 68*k*q**4 + 621*k wrt q?
42*k**2*q**2 - 272*k*q**3
What is the derivative of 2*l**3 - 3*l**2 - 161*l - 2079?
6*l**2 - 6*l - 161
What is the second derivative of -3*t**4 - 8*t**3 - 301*t wrt t?
-36*t**2 - 48*t
What is the second derivative of 25*g**3*z**2 + g**3 + 16*g*z**3 + 2*g*z**2 - 8*g + 2*z - 9 wrt z?
50*g**3 + 96*g*z + 4*g
What is the second derivative of -19004*b**3*n**2 + 18*b**3*n + 240*n wrt n?
-38008*b**3
What is the third derivative of -230*r*x**5 - r*x**4 - 41*r*x**2 - 2*x**2 wrt x?
-13800*r*x**2 - 24*r*x
What is the third derivative of -8*a**3*u*z**3 + 2*a**3*u*z**2 - 5*a**3*z**3 - 2*a**3 + 3*a**2*z**2 + 8*a*u - 5*z**4 wrt z?
-48*a**3*u - 30*a**3 - 120*z
Find the second derivative of -2*o**3*p - 128*o**3 + 4*o**2 - 20*o*p - 3*p - 26 wrt o.
-12*o*p - 768*o + 8
What is the second derivative of f**3*r**2 - 2*f**3 - 465*f**2*r - f*r + 9
|
{
"pile_set_name": "DM Mathematics"
}
|
d**2
Let y(o) = -14673*o. Let i(u) = -6*u. What is i(y(m))?
88038*m
Let a(t) = -t. Let j(u) = 1. Let k(i) = 3*i + 5. Let l = -1 - -27. Let r = l + -11. Let y(f) = r*j(f) - 3*k(f). Determine a(y(h)).
9*h
Let y = 57 - 55. Let u(v) = -6*v + 9*v**2 - 11*v**y + 6*v. Let f(k) = -3*k. Calculate u(f(x)).
-18*x**2
Let v(q) = 3 - 3*q + 0 - q**2 + 2*q**2. Let a(x) = -2*x**2 + 8*x - 8. Let r = -124 - -121. Let c(n) = r*a(n) - 8*v(n). Let f(o) = -2*o**2. What is c(f(y))?
-8*y**4
Let h(o) be the first derivative of 5*o**2/2 - 165. Let f(z) = -9*z**2 + 5. What is h(f(u))?
-45*u**2 + 25
Let l(c) be the first derivative of -c**3/3 + 13. Let w(m) = -14*m**2 - m. Give w(l(x)).
-14*x**4 + x**2
Let p(j) = -5*j**2. Let x(i) = 100255*i. Calculate p(x(k)).
-50255325125*k**2
Let d(r) = 2*r. Let w(o) = -24*o - 20*o + 43*o. Let m(n) = 3*d(n) + 4*w(n). Let t(k) = -4*k**2. What is t(m(g))?
-16*g**2
Let v(a) = -131737*a. Let m(u) = -u**2. What is m(v(s))?
-17354637169*s**2
Let j(c) = 38*c - 39. Let f(w) = 27*w**2 + 3*w. What is f(j(z))?
38988*z**2 - 79914*z + 40950
Let h(d) = 10*d**2. Let g(s) = 310149*s**2. Calculate h(g(p)).
961924022010*p**4
Let p(s) = -s. Let c be -2 + 0/4 - 19. Let i be 12/c + (-54)/(-21). Let h(g) = g**2 + 7*g**2 - 14*g**i. Give p(h(z)).
6*z**2
Let b(g) = 24*g**2. Let f(n) = 15103*n**2. What is f(b(y))?
8699328*y**4
Let k(l) = l**2 + l - 1. Let n(s) = 8*s**2 + s - 1. Let y(b) = k(b) - n(b). Let m(w) = -7*w. Give y(m(d)).
-343*d**2
Let m(f) = -f**2 - 12*f - 6. Let q(s) = 2*s**2 + 22*s + 11. Let d(u) = -11*m(u) - 6*q(u). Let v(z) = -6*z. What is v(d(n))?
6*n**2
Let x(i) = 80*i**2 - 39*i**2 - 43*i**2. Let v(w) = -8*w. Give x(v(z)).
-128*z**2
Let h(s) = -3*s**2. Let x = -5 + 10. Let u(w) = w**3 - 4*w**2 - 4*w - 3. Let j be u(x). Let c(o) = 5 + j*o**2 - 10 + 5. What is h(c(p))?
-12*p**4
Let w(a) = -7*a + 29*a - 20*a. Let j(y) = 3*y**2 - 3*y. Determine j(w(b)).
12*b**2 - 6*b
Let j(h) = -10*h. Let s(x) = -6*x. Let v(o) be the second derivative of -o**3/6 - 3*o. Let y(a) = 6*s(a) - 33*v(a). Give y(j(z)).
30*z
Let q(w) be the second derivative of w**3/3 - 80*w + 1. Let v(r) = 76*r + 1. Calculate v(q(u)).
152*u + 1
Let h(n) = -180620*n. Let z(p) = 10*p**2. Calculate z(h(o)).
326235844000*o**2
Let u(z) = -36*z. Let c(h) = h - 1. Let p(w) = -2*w**2 + 3*w - 3. Let i(o) = 6*c(o) - 2*p(o). What is i(u(t))?
5184*t**2
Let p(g) = -8*g. Let n(k) be the third derivative of -k**5/15 - 580*k**2. What is n(p(d))?
-256*d**2
Let v(g) = g**3 - 5*g**2 + 5*g + 2. Let m be v(4). Let z(h) = 153*h - 39. Let f(b) = -8*b + 2. Let y(n) = m*z(n) + 117*f(n). Let a(s) = 3*s**2. What is a(y(q))?
972*q**2
Let n(s) = 4*s**2. Let x be 48/(-18)*(-9)/6. Let v(d) = -7*d**2 + 4*d**2 + x*d**2. Give v(n(o)).
16*o**4
Let l(s) = -2*s**2. Suppose 5*m - 16 - 24 = 0. Suppose 5*w + 6 = 2*h - 0*h, -4*w + m = 0. Let j(u) = -u + 10*u - h*u - 5*u. Calculate l(j(a)).
-32*a**2
Let h(o) = -o**2. Let f(g) = g**2 - 7082. Give f(h(l)).
l**4 - 7082
Let h(z) = 9*z**2 - 23. Let c(i) = -2*i - 33. Calculate h(c(m)).
36*m**2 + 1188*m + 9778
Let c(i) = -7*i. Let b = 9 + -10. Let r be -7 - b/(3/6). Let y(p) = -p**2 - 3*p + 3. Let v(z) = -2*z**2 - 5*z + 5. Let s(a) = r*y(a) + 3*v(a). Give s(c(d)).
-49*d**2
Let h(q) = 13*q - 31*q + 21*q. Let n(s) = 161*s. Give h(n(b)).
483*b
Let s(h) = -15*h**2. Let a(b) = -b**2 - b. Let q(l) = -10*l**2 - 3*l. Let y(n) = -3*a(n) + q(n). Give s(y(f)).
-735*f**4
Let l(z) be the third derivative of 7*z**5/30 + 6*z**2. Let g(x) = -95 + 2*x**2 + 95. Give g(l(d)).
392*d**4
Let s(j) = 13*j**2 + 6*j + 12. Let o(b) = -28*b**2 - 13*b - 26. Let d(c) = 6*o(c) + 13*s(c). Let f(a) = 165*a**2. Give f(d(w)).
165*w**4
Let h(q) = 324*q**2. Let d(t) be the first derivative of t**3/3 + 74. Calculate h(d(m)).
324*m**4
Let z(s) be the first derivative of s**2/2 - 15*s + 206. Let w(d) = d. Determine z(w(l)).
l - 15
Let v(w) be the second derivative of 0 - 2*w + 0*w**2 + 1/6*w**3. Let t(c) = -17*c + c + 14*c. Give v(t(l)).
-2*l
Let k(h) = 26*h**2 + 8. Let q(b) = -46*b**2 - 14. Let s(t) = 7*k(t) + 4*q(t). Let f(a) be the first derivative of 3*a**3 - 2*a - 1. Give f(s(r)).
36*r**4 - 2
Let v(r) = -428*r. Let a(g) be the first derivative of g**3/3 - 15. Determine a(v(s)).
183184*s**2
Let a(f) = -154*f + 2. Let g(p) = 13*p - 7. Determine a(g(c)).
-2002*c + 1080
Let h(i) = -13*i**2 - 7*i - 7. Let g(d) = -6*d**2 - 3*d - 3. Suppose 3*q = 12 - 3. Let f(l) = q*h(l) - 7*g(l). Let m(v) = -7*v**2. Give f(m(p)).
147*p**4
Let i(n) = -6*n**2 + 2*n**2 + 4*n**2 - 5*n**2. Let s(l) be the second derivative of 0*l**2 + 6*l + 0 + 1/2*l**3. Give i(s(v)).
-45*v**2
Let a(t) = -2*t**2. Suppose -5*i - 5*w + 50 + 0 = 0, 3*i - 20 = -w. Let k(v) = -i*v + v + v - 15*v. Determine a(k(f)).
-648*f**2
Suppose t + 1 = 3. Let m(k) = -6 + 9 - 3 + t*k. Let q(c) = -2*c. Determine q(m(p)).
-4*p
Let x(c) = 7*c**2 - 17*c. Let j(k) = -26*k + 2. What is j(x(q))?
-182*q**2 + 442*q + 2
Let g(h) = -h. Let b(d) be the first derivative of -3*d**3 + 8*d - 15. Let m(f) = f**2 - 1. Let u(r) = 5*b(r) + 40*m(r). Calculate g(u(x)).
5*x**2
Let i(z) = z**2 - 27*z. Let n(c) = 2*c**2 - 55*c. Let u(h) = 7*i(h) - 4*n(h). Let s(q) = -5*q**2. What is s(u(v))?
-5*v**4 + 310*v**3 - 4805*v**2
Let w(j) = -2*j + 50. Let f(v) be the first derivative of 3*v**2/2 - 215. Calculate w(f(n)).
-6*n + 50
Let j(w) = w - w + 6*w. Let c(y) = 2*y**2 - 9*y - 3. Let k be c(5). Let u(a) = 12*a**k + 8*a**2 - 23*a**2. Determine u(j(o)).
-108*o**2
Let d(j) = -32*j. Suppose 4*m + 3*y + 2 = 0, -4*m + 7 = -2*y - 1. Let s(o) = o. Let b(v) = m*d(v) + 40*s(v). Let q(a) = 2*a**2. Determine q(b(k)).
128*k**2
Let n(j) = -2*j + 7048. Let t(o) = 6*o**2 - 10*o. What is t(n(s))?
24*s**2 - 169132*s + 297975344
Let j(a) = -a. Let v(u) be the third derivative of -203*u**5/30 + 474*u**2. What is v(j(z))?
-406*z**2
Let w(a) = a**2. Let o(q) = 9*q**2. Let j(l) = -37*l**2. Let i(h) = -2*j(h) - 9*o(h). Let p(y) = -3*i(y) - 24*w(y). Let z(g) = 3*g**2. Give z(p(c)).
27*c**4
Let h(r) = -11*r**2. Let c(i) = 4*i - 46072 + 46072. Calculate c(h(x)).
-44*x**2
Let c(k) = -9*k. Let z(d) = -d + 3. Let s(q) = 7*q**2 - 14*q + 42. Let p(n) = -s(n) + 14*z(n). What is p(c(f))?
-567*f**2
Let q(b) = b. Let o(l) = -3*l + 1829. Calculate q(o(g)).
-3*g + 1829
Let p = 36 + -33. Let x(b) = -2*b - p*b + 4*b + 4*b. Let i(h) be the first derivative of 4*h**3/3 - 3. Give i(x(o)).
36*o**2
Let j(r) be the second derivative of -r**4/6 + 8*r. Let t(w) = 9*w**2 - 4*w. Let m(n) = -n**2 + n. Let k(a) = -4*m(a) - t(a). Give j(k(h)).
-50*h**4
Let t(z) = -2*z. Let l(s) be the first derivative of s**2/2 - 6*s + 9. Let r(i) = -i + 8. Let o(g) = -3*l(g) - 4*r(g). Calculate t(o(x)).
-2*x + 28
Let m(t) = 8*t**2. Let a(f) = -f - 1. Let i(q) = 2. Let o = -11 + 17. Let b be 4/o + 88/(-33). Let h(y) = b*a(y) - i(y). Give h(m(d)).
16*d**2
Let z(m) = 50. Let u(a) = a - 25. Let g(c) = -2*u(c) - z(c). Suppose -6*w + 15 = -w. Let i(k) = w*k**2 + 6*k**2 - 5*k**2. What is g(i(v))?
-8*v**2
Let g(y) = -2*y. Suppose 0*t - 4*t - 3*a + 48 = 0, -3*a - 12 = 0. Let x = -12 + t. Let k(u) = -3*u**2 + 4 - 7 + x. Give g(k(r)).
6*r**2
Let z(s) = 15*s. Let o(i) be the second derivative of -i**3/3 + 9*i + 1. Determine z(o(h)).
-30*h
Let t(o) be the first derivative of -o**3 - 29. Let l(c) = -39*c - 8*c**2 + 39*c. Calculate t(l(m)).
-192*m**4
Let i(r) = 5*r - 2. Let t(d) = -26*d + 11. Let g(p) = 11*i(p) + 2*t(p). Let y(a) = -2*a - 3*a + 7*a. Give y(g(v)).
6*v
Let c(f) = -f**2. Let p(b) = 250*b**2 + 1543 - 1543. What is c(p(h))?
-62500*h**4
Let c(f) be the first derivative of -3*f**2/2 + 199. Let g(v) = -v**2 + 133. Give c(g(z)).
3*z**2 - 399
Let t(h) = 659*h**2. Let m(i) = 13*i**2 - 2. Give m(t(v)).
5645653*v**4 - 2
Let g(m) = -2*m**2. Let r(d) = 65220*d**2. What is r(g(c))?
260880*c**4
Let a(z) = 3*z**2. Suppose 0 = -4*s - 2*u - 2*u + 20, 0 = 4*u - 8. Let m(k) = s*k**2 + 53*k - 25*k - 28*k. Calculate m(a(i)).
27*i**4
Let o = -216 + 220. Let g(a) be the third derivative of 0*a**3 - o*a**2 + 0 + 1/6*a**4 + 0*a. Let p(m) = m**2. What is g(p(c))?
4*c**2
Suppose 0 = -2*n - n. Suppose -3*u - u + 52 = n. Let f(h) = 9*h**2 - u*h**2 + 13*h**2. Let m(a) = -a**2. Give m(f(j)).
-81*j**4
Let y(d) = -2*d. Let l(v) = -3*v - 11. Let a(u) be the second derivative of 4*u**3/3 + 17*u**2 + 4*u. Let g
|
{
"pile_set_name": "DM Mathematics"
}
|
s in -5*j**3 + j**3 - j**2 + 8*j**3 + 5*j**2.
4*j**3 + 4*j**2
Collect the terms in 9*i**2 + 18*i**2 + 8*i**2 + i**3 - 34*i**2.
i**3 + i**2
Collect the terms in -41 - s + 0*s + 28 - 54.
-s - 67
Collect the terms in 63*f + 139*f - 99*f + 188*f.
291*f
Collect the terms in 0*u**3 + 3*u**3 + 11041*u - 11041*u.
3*u**3
Collect the terms in -3*p**3 + 8505*p**2 - 8505*p**2.
-3*p**3
Collect the terms in -3*h**2 + h**3 + 3*h**2 + 5 + 0.
h**3 + 5
Collect the terms in t + 9287 - 9287.
t
Collect the terms in 805*k**3 - 793*k**3 + 4*k - 4*k.
12*k**3
Collect the terms in 13*p - 22*p + 10*p + 30.
p + 30
Collect the terms in 1 - 27*q - q - 24*q - q.
-53*q + 1
Collect the terms in q**2 + 2*q**2 + 25*q - q**2 - q**2.
q**2 + 25*q
Collect the terms in 3 - d - 3 - d - 316*d**2.
-316*d**2 - 2*d
Collect the terms in -14*i**3 + 8*i**3 + 3*i**3 + 5*i**3.
2*i**3
Collect the terms in -5*f**2 + 3*f**2 - 10*f + 4*f + 6*f.
-2*f**2
Collect the terms in -4*u**2 + 0*u**2 + 4*u**2 + 2*u**3 + 7.
2*u**3 + 7
Collect the terms in 15 - 1 + 4*v**2 - 3*v**2.
v**2 + 14
Collect the terms in -12*l**2 + 4*l**2 + 2*l**3 - 9*l**2.
2*l**3 - 17*l**2
Collect the terms in 414*l**3 - 2 + 413*l**3 - 821*l**3 + 2.
6*l**3
Collect the terms in -567*i - 5*i**2 + 567*i.
-5*i**2
Collect the terms in -13228 + 13228 - 27*w.
-27*w
Collect the terms in -3*h + 2 - 1 + 1.
-3*h + 2
Collect the terms in -13*x**2 - 2*x**2 - 6*x**2.
-21*x**2
Collect the terms in -2 + 1 + 3 + 0 + 9*y**3.
9*y**3 + 2
Collect the terms in -118*s**2 + 63*s**2 + s + 57*s**2 - s.
2*s**2
Collect the terms in 2*a**2 + 12*a**2 - 5*a**2.
9*a**2
Collect the terms in m**2 - m**2 - 12*m**2 + m**2.
-11*m**2
Collect the terms in f**2 - 28*f**2 + 28*f**2.
f**2
Collect the terms in -723 + 2*f - 3*f + 723.
-f
Collect the terms in -47 + 138 - 44 - 47 + 3*l.
3*l
Collect the terms in 1 - 2*l - 3 + 1 - 3*l.
-5*l - 1
Collect the terms in 373*b - 748*b + 379*b.
4*b
Collect the terms in -63442*s**2 - 63437*s**2 + 126882*s**2.
3*s**2
Collect the terms in -7*l + 8*l + 12*l + 16.
13*l + 16
Collect the terms in 5*f - 4*f - f - 4*f.
-4*f
Collect the terms in -56*f**2 + 11*f**3 + 9*f**3 + 56*f**2.
20*f**3
Collect the terms in 119*m + 105*m - 247*m.
-23*m
Collect the terms in -12*p - 13*p - 15*p + 44*p.
4*p
Collect the terms in -3 + 8*t - 4 + 7.
8*t
Collect the terms in -l + 3*l - 6*l + 18*l.
14*l
Collect the terms in 17 - 12 - 8 + 169*k.
169*k - 3
Collect the terms in 0*v + 2*v - 3*v + 1 + 5.
-v + 6
Collect the terms in -206*z - 230*z + 438*z.
2*z
Collect the terms in 151*i - 297*i + 148*i.
2*i
Collect the terms in -5*s**2 + 48*s**2 - 28*s**2.
15*s**2
Collect the terms in -a**2 - a**3 + 68803 - 68803 + a**2.
-a**3
Collect the terms in 32*w**2 - 14*w**2 - 9*w**2.
9*w**2
Collect the terms in -5*h + 4*h - 9*h**3 + h + 2*h**3.
-7*h**3
Collect the terms in -144*v - 2*v**2 + 144*v - 8.
-2*v**2 - 8
Collect the terms in 12*k**2 - 6*k**2 - 4*k**2 - 7*k**2.
-5*k**2
Collect the terms in -208*v - 203*v + 13*v**2 + 411*v.
13*v**2
Collect the terms in r**2 - 717 + 360 + 357.
r**2
Collect the terms in -1051 + 1051 - 3*p.
-3*p
Collect the terms in -124 - 127 + 251 + 3*b.
3*b
Collect the terms in -8*r**3 - 109*r + 61*r - 9*r**3 + 48*r.
-17*r**3
Collect the terms in 2*j**2 - 22*j**2 + j**2.
-19*j**2
Collect the terms in 326*g**2 + 321*g**2 - 657*g**2.
-10*g**2
Collect the terms in 1235*j**2 - 3696*j**2 + 1232*j**2 + 1233*j**2.
4*j**2
Collect the terms in 13107 - 13107 - 2*v**2.
-2*v**2
Collect the terms in -28*n**3 + 64*n**3 - 33*n**3.
3*n**3
Collect the terms in -8*l**3 - 10*l**3 - 9*l**3 + 14*l**3.
-13*l**3
Collect the terms in -4*r + 6*r - 59*r**2 + 46*r**2 - 2*r.
-13*r**2
Collect the terms in -3*s**2 + 5*s**2 - 2*s**2 - 8*s**3.
-8*s**3
Collect the terms in -167*h**3 + 58*h**3 + 59*h**3 + 52*h**3.
2*h**3
Collect the terms in -9*y - 517*y + 4 - 4.
-526*y
Collect the terms in 7 - 28 + 2*d + 6 - 19.
2*d - 34
Collect the terms in -167 + k + 167.
k
Collect the terms in 51*c - 7 + 7.
51*c
Collect the terms in -j**3 - 667 - 659 + 1326.
-j**3
Collect the terms in 66*g**3 - 29*g**3 - 29*g**3.
8*g**3
Collect the terms in -7*h + 5*h - 4*h + h.
-5*h
Collect the terms in -25*c - 37*c + 65*c.
3*c
Collect the terms in d - d + 4*d - 3*d.
d
Collect the terms in -47 - 17*b**3 + 47.
-17*b**3
Collect the terms in -7 + 8*j**2 - 4 + 11.
8*j**2
Collect the terms in -66*c**2 - 58*c**2 - 75*c**2 + 195*c**2.
-4*c**2
Collect the terms in 19 - 3*g**3 - 19.
-3*g**3
Collect the terms in 0 + 0 + 15*x - 8*x.
7*x
Collect the terms in -1381*f**3 + 3 + 1427*f**3 - 3.
46*f**3
Collect the terms in -2 - 15 + 17 - 4*l.
-4*l
Collect the terms in -17*u + 3 - 3.
-17*u
Collect the terms in 4*a**2 + 2*a**2 - 3*a**2 - 2*a**2.
a**2
Collect the terms in -5 + 2 - 2*b**2 - 2 - 6.
-2*b**2 - 11
Collect the terms in 4*p - 15 + 4*p + 15.
8*p
Collect the terms in -a**2 - 9*a + 27*a - 15*a - 3*a.
-a**2
Collect the terms in -22*m - 16*m - m + 0*m.
-39*m
Collect the terms in -4*i + 5*i + i - 7*i + 3*i.
-2*i
Collect the terms in -2 + 2*y**2 - 5 + 7 - y.
2*y**2 - y
Collect the terms in -2 + 10 - 8 - 2*m**2.
-2*m**2
Collect the terms in 19*k**2 - 15*k**2 + 11*k**2.
15*k**2
Collect the terms in -22*r**2 - 25*r + 11*r + 14*r.
-22*r**2
Collect the terms in 197 - 197 - 8*j - 3*j.
-11*j
Collect the terms in 46*d - 46*d + 65*d**2 - 68*d**2.
-3*d**2
Collect the terms in -339 + 339 - 19*x + 5*x.
-14*x
Collect the terms in -13*s**2 - 11*s + 4*s + 7*s.
-13*s**2
Collect the terms in 8*h**2 - 17*h**2 - 51 + 3 + 10*h**2.
h**2 - 48
Collect the terms in 293 - 293 + 2*x**2.
2*x**2
Collect the terms in -19*l**2 - 12*l**2 - 17*l**2 - 10*l**2.
-58*l**2
Collect the terms in 1232*m - 616*m - 2 - 618*m + 2.
-2*m
Collect the terms in 7 - 9 - 2*j + 7*j - 2.
5*j - 4
Collect the terms in 23*c + 8*c + 53*c.
84*c
Collect the terms in 5*z + 9*z - 19*z + 10*z.
5*z
Collect the terms in -s**2 - 194*s**3 + 198*s**3 - s**2 + 2*s**2.
4*s**3
Collect the terms in -208 + 104 + 6*g**2 + 104.
6*g**2
Collect the terms in -3*y**2 + 18*y**2 - 16*y**2.
-y**2
Collect the terms in 24*u**2 - 47*u + 93*u - 46*u.
24*u**2
Collect the terms in 7*h**2 + 35*h - 59*h + 24*h.
7*h**2
Collect the terms in 6*g + g - 4*g.
3*g
Collect the terms in 1 - 3 - 19*k + 280*k + 33*k.
294*k - 2
Collect the terms in -54*w**2 - 49*w**2 + 101*w**2.
-2*w**2
Collect the terms in 16*t**3 + 2*t - 2*t + 31*t**3 - 51*t**3.
-4*t**3
Collect the terms in -34 + 34 - 74*b.
-74*b
Collect the terms in 14*s**2 - s**2 - 109 + 109.
13*s**2
Collect the terms in -b**3 + 4028*b**2 - 4034*b**2 + 7*b**3.
6*b**3 - 6*b**2
Collect the terms in 156 + p + 7*p - 154.
8*p + 2
Collect the terms in 15*w**3 - 753*w**3 - 24*w**3.
-762*w**3
Collect the terms in -13*a**2 - 17*a**2 + 31*a**2.
a**2
Collect the terms in 0*x**2 + 14*x**2 - 12*x**2 + 0*x**2 - 6*x**2.
-4*x**2
Collect the terms in -2443*n**2 + 1514*n**2 - 2493*n**2 - 202*n**2.
-3624*n**2
Collect the terms in 7*o**2 + o**3 - 11*o**3 - 5*o**2 + 8*o**2.
-10*o**3 + 10*o**2
Collect the terms in -88*d**2 + 48*d**2 + 14*d**3 + 40*d**2.
14*d**3
Collect the terms in -1 - g**2 - 5 + 6.
-g**2
Collect the terms in -96*d + 58*d - 138*d - 67*d.
-243*d
Collect the terms in 27*l**2 + 18*l - 18*l - 25*l**2.
2*l**2
Collect the terms in 15*f - 5*f - 594 - 590 + 1184.
10*f
Collect the terms in 0*g**2 - 13*g**3 + 2*g**2 - 1 + 1.
-13*g**3 + 2*g**2
Collect the terms in -26*i - 35 + 35.
-26*i
Collect the terms in 7*o - 14*o + 12*o.
5*o
Collect the terms in -2600*o + 1299*o + 1301*o + 3*o**2.
3*o**2
Collect the terms in -17 + 48 - 7*q - 31.
-7*q
Collect the terms in -1123 + 1123 - 2*u**2.
-2*u**2
Collect the terms in 362*x**2 + 362*x**2 - 2*x**3 - 724*x**2 + 12*x**3.
10*x**3
Collect the terms in 57*f - 76*f - 5 - 3 + 1.
-19*f - 7
Collect the terms in -4 + 4 - 88*p + 93*p.
5*p
Collect the terms in k**3 - 8 - 13 + 21 - 2*k**3.
-k**3
Collect the terms in 16*t**3 + 8*t - 3*t - 5*t.
16*t**3
Collect the terms in 229*i**3 + 226*i**3 + 198*i**3.
653*i**3
Collect the terms in 24 + 2*t**3 - 7 + 30*t - 17.
2*t**3 + 30*t
Collect the terms in -3*n**2 + 45*n**3 - 2*n**2 + 5*n**2 - 44*n**3.
n**3
Collect the terms in -30063 - y**3 + 30063.
-y**3
Collect the terms in -6*q**2 + 107*q - 107*q.
-6*q**2
Collect the terms in 1577 - 1577 - 28*j**2.
-28*j**2
Collect the terms in 1 + 5*u + 4 - 3*u - 5.
2*u
Collect the term
|
{
"pile_set_name": "DM Mathematics"
}
|
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