text stringlengths 270 8.19k | meta dict |
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2 + l. Let y(o) = 19*o - d*o - o - 5*o. Let s(t) = -t**2. Give y(s(p)).
-11*p**2
Let s(x) = -3267*x + 5855*x - 2909*x. Let y(a) = -a. What is y(s(o))?
321*o
Let p(n) = 2*n + 15. Let b(f) = -277*f + 36536. Calculate p(b(r)).
-554*r + 73087
Let v(x) = 45*x - 1138. Let y(q) = -72*q**2 - 1. Give v(y(b)).
-3240*b**2 - 1183
Let q(x) be the first derivative of -127*x**3/3 - 4954. Let f(g) = -4*g**2 + 3. Calculate q(f(u)).
-2032*u**4 + 3048*u**2 - 1143
Let d(o) = -2*o**2 + 8*o + 41. Let l(b) = -38*b. Determine d(l(q)).
-2888*q**2 - 304*q + 41
Let k(h) = 52643880*h**2. Let o(i) = -4*i. Calculate o(k(v)).
-210575520*v**2
Let r(l) = -51*l**2. Let y = -326 + 328. Let i(x) = 3004 + y*x - 3004. Calculate i(r(m)).
-102*m**2
Let x(m) = m. Let r(q) = -20*q + 2187. Let s be r(109). Let w(f) be the first derivative of 5/3*f**3 - s + 0*f**2 + 0*f. Give x(w(a)).
5*a**2
Let k(h) be the second derivative of -7549 - h**3 + 7549 + 10*h. Let n(q) = -4*q - 3*q + 4*q - q. Give k(n(g)).
24*g
Let g(j) = 106*j - 10 + 108*j + 106*j + 111*j - 434*j. Let n(c) = 19*c**2. What is g(n(d))?
-57*d**2 - 10
Let y(p) = p + 1399. Let a(u) = 441*u + 19. Determine y(a(r)).
441*r + 1418
Let b(f) = -87*f**2 + 308. Let n(h) = -34*h**2. What is b(n(i))?
-100572*i**4 + 308
Let i(o) be the third derivative of 0*o**3 - 59*o**2 + 0 + 1/6*o**4 + 0*o. Let f(g) = -6*g. Give i(f(k)).
-24*k
Let n(x) = x. Let q(h) be the third derivative of h**8/5040 - h**5/60 + 15*h**3/2 + 48*h**2. Let p(a) be the third derivative of q(a). Calculate p(n(j)).
4*j**2
Let l(w) = 2 + 2 + 4*w - 4. Let q(h) = -13*h**2 - h + h**2 + 6*h - h**2. Let y(s) = -32*s**2 + 12*s. Let b(d) = 12*q(d) - 5*y(d). Calculate l(b(p)).
16*p**2
Let m(o) = 12837041*o. Let c(x) = -x. Determine c(m(j)).
-12837041*j
Let f(h) = -63*h + 5*h**2 + 14*h**2 - 3*h**2 + 3*h - 15*h**2. Let o(v) = 10*v. Give f(o(x)).
100*x**2 - 600*x
Let n(t) = -88*t. Let k(a) be the third derivative of -11*a**5/60 - 49*a**2 + a + 27. Calculate k(n(z)).
-85184*z**2
Let n(f) = 3*f + 171. Let p(u) = -3*u**2 + u**2 + 12*u**2 - 5*u**2 - 6*u**2. Calculate n(p(h)).
-3*h**2 + 171
Let a(h) = -176495*h. Let l(d) = -3908*d**2. Give l(a(f)).
-121736095477700*f**2
Let w(z) = z. Let j(l) be the first derivative of -9*l**2/2 + 20*l - 1232. Calculate j(w(c)).
-9*c + 20
Let h(i) = 5*i. Let f(p) = 241 - 241 + 7*p. Let v(z) = 4*f(z) - 6*h(z). Let b(k) = -2*k**2 - 2*k. Calculate b(v(n)).
-8*n**2 + 4*n
Let v(t) be the second derivative of t**3/3 + 37*t. Suppose 0 = 5*m - 16 + 11. Let d(p) = m - 11 + 55*p + 10. Calculate d(v(z)).
110*z
Let j(g) = -g**2 + 13*g. Let s(i) = -6*i. Let u(a) = 6*j(a) + 13*s(a). Let x(m) be the second derivative of m**3/2 + 2912*m. Give x(u(p)).
-18*p**2
Suppose -b + 4*a + 3 = 4*b, 3*b - 6 = a. Let n(k) = 2*k + 4*k - b*k - 4*k. Let r(o) = 48*o. What is r(n(x))?
-48*x
Let d(v) = -2*v**2 - 5*v. Let a(h) = -92*h + 203. What is d(a(k))?
-16928*k**2 + 75164*k - 83433
Let d(i) be the second derivative of i**3/6 + 419*i + 15. Let g(o) = -1 + 1 - 33*o**2. Determine d(g(c)).
-33*c**2
Let f(x) = 3*x. Let y(w) = 55*w + 19235. What is f(y(n))?
165*n + 57705
Let i(n) = -316*n - 54*n - 161*n + 113*n + 154. Let o(d) = 11*d - 4. Let x(r) = 4*i(r) + 154*o(r). Let f(w) = 6*w. Calculate x(f(c)).
132*c
Let c(v) = 7063668*v. Let y(i) = 2*i. Calculate y(c(j)).
14127336*j
Let u(m) = 3*m. Let r(a) = 3*a**2 + 24*a - 303. Let p(y) = 7*y**2 + 54*y - 606. Let t(n) = 4*p(n) - 9*r(n). Calculate t(u(f)).
9*f**2 + 303
Let v(o) = -3*o + 179. Let w(h) = -4*h - 1868. Give v(w(a)).
12*a + 5783
Let t(o) = 2*o. Let u(v) = 7*v**2 + 6700*v - 119. Determine u(t(n)).
28*n**2 + 13400*n - 119
Let u(k) be the third derivative of -5*k + 0 - 13*k**2 + 1/24*k**4 + 79/3*k**3. Let o(y) = -2*y. Determine o(u(f)).
-2*f - 316
Let s(d) = 2*d - 132. Let p(t) = 2*t + 128422 - 256830 + 128411. Calculate p(s(b)).
4*b - 261
Let s(c) = 10*c - 32. Let b(t) = -901*t**2 - 13*t. What is s(b(i))?
-9010*i**2 - 130*i - 32
Let z(k) = k - k + 13*k**2. Let f(u) be the first derivative of -8*u**3/3 + 19959. Give f(z(p)).
-1352*p**4
Let y(x) = 24717*x. Let q(l) = 1496*l. What is y(q(g))?
36976632*g
Let g(d) = 3 - d - 3. Let s(l) be the first derivative of -2/3*l**3 + 0*l**2 - 174 + 0*l. What is s(g(r))?
-2*r**2
Let v(b) = -54*b. Let i(g) be the second derivative of g**7/840 + 23*g**4/3 + g**2 - 20*g - 2. Let o(q) be the third derivative of i(q). What is v(o(h))?
-162*h**2
Let j(i) be the first derivative of -2*i**3/3 - 225. Let c(m) = 704*m**2. Give c(j(l)).
2816*l**4
Let j(f) = -13*f + 3*f - 5666 + 5666. Let x(q) = -9*q**2 + 2. What is j(x(v))?
90*v**2 - 20
Let g(x) = -3904*x. Let b(l) = -23*l - 16. Give g(b(d)).
89792*d + 62464
Let v(a) = 16*a**2 + 13*a. Let y(s) = 4*s**2 + 3*s. Let q(m) = -6*v(m) + 26*y(m). Let k(l) be the first derivative of -1/2*l**2 + 0*l - 57. Calculate k(q(b)).
-8*b**2
Let t(q) = 13*q**2 - 95*q + 8. Let k(w) = -107*w**2. What is t(k(a))?
148837*a**4 + 10165*a**2 + 8
Let l(s) = 2122*s + 3. Let u(m) = -4*m**2 - 192. Give l(u(r)).
-8488*r**2 - 407421
Let a(q) = -q. Let i(h) = 3828*h**2 + 8*h + 3. Give a(i(n)).
-3828*n**2 - 8*n - 3
Let m(t) be the third derivative of t**4/24 - 147*t**3/2 + 3527*t**2 - 2*t. Let r(n) = -n. What is m(r(l))?
-l - 441
Let a(w) = 40*w**2. Let r(h) be the third derivative of -7*h**5/120 - 122*h**3/3 - 2*h**2 - 40*h. Let v(s) be the first derivative of r(s). Give v(a(n)).
-280*n**2
Let i(o) = -84*o - 328. Let d be i(-12). Let f(t) = -680*t + 30*t**2 + d*t. Let v(b) = -14*b**2. What is v(f(c))?
-12600*c**4
Let f(k) = -126*k**2 - 2816*k. Let w(r) = -15*r. Determine f(w(t)).
-28350*t**2 + 42240*t
Let z(u) = 591*u. Let n(m) = -614*m**2 - 1 + 4 + 611*m**2 - 3. What is n(z(i))?
-1047843*i**2
Let s(g) = -98*g**2 + 124*g**2 - 33*g**2 - 80*g**2 - 51*g**2. Let w(t) = 3*t**2. Determine s(w(l)).
-1242*l**4
Let v(b) be the first derivative of 19*b**2/2 - 131. Let i(g) = 2*g - 2*g - 105*g**2 + 110*g**2. Calculate i(v(d)).
1805*d**2
Let n(s) = 19*s**2 + 3. Let t(o) be the second derivative of o**4/12 - 513*o + 2. Give t(n(w)).
361*w**4 + 114*w**2 + 9
Let x(v) = v**2 + 36*v - 34. Let j be x(-37). Let h(z) = 605 + 607 - 1212 - j*z**2. Let m(f) = 3*f**2 + 2*f. What is h(m(b))?
-27*b**4 - 36*b**3 - 12*b**2
Let c(x) = -10*x - 272. Let g(a) = -3*a - 3371. Calculate c(g(q)).
30*q + 33438
Let i(h) = -h. Let f(o) = -26484916*o. What is f(i(d))?
26484916*d
Let n(a) be the first derivative of a**3/3 - 377. Let i(s) = 557*s. Calculate i(n(v)).
557*v**2
Let x(z) = 1242*z - 610*z - 596*z. Let n(r) = -22*r. Determine x(n(h)).
-792*h
Suppose -12*l - 5*u = -7*l - 5, 4*l + 3*u - 5 = 0. Let g(a) be the first derivative of 0*a**l - 2/3*a**3 - 32 - 21*a. Let n(w) = -w**2. Give n(g(j)).
-4*j**4 - 84*j**2 - 441
Let p(c) = 5*c**2 + 6*c + 6. Let r(j) = 13*j**2 + 17*j + 17. Let w(m) = 17*p(m) - 6*r(m). Let x(v) = -44*v**2 - 1. Determine w(x(g)).
13552*g**4 + 616*g**2 + 7
Let t(p) = -42*p**2 - p - 230. Let f(n) = -27*n - 3. What is f(t(i))?
1134*i**2 + 27*i + 6207
Suppose -9*d = -7*d - 94. Let l(p) = d - 100 + 53 - 57*p. Let z(o) = 4*o**2. Determine z(l(n)).
12996*n**2
Let h(l) = 9*l**2. Suppose -1 = 3*x - 16, 3*w + 4*x - 104 = 0. Let t(z) = w + 32 - 60 + z**2. Give h(t(u)).
9*u**4
Suppose 40 = -40*k + 120. Let x(u) = -12*u**2 - 5*u**k - 4*u**2 + 20*u**2. Let w(i) = -62*i**2. Give x(w(v)).
-3844*v**4
Let k(p) be the first derivative of p**2/2 - 25. Suppose -3*l + 80 = 2*l. Let n(m) = -57 - l*m**2 + 57. What is n(k(u))?
-16*u**2
Let a(i) = -13*i - 2*i + 3*i. Let s(o) = -3*o + 2. Let m be 9/(27/(-2)) - 40/(-6). Let t(k) = 15*k - 12. Let g(v) = m*s(v) + t(v). Give g(a(p)).
36*p
Let n(c) = 80*c**2 + 82*c**2 + 90*c**2 - 253*c**2. Let b(d) = -2*d**2 - 62*d + 2*d**2 - 2*d**2. Determine n(b(p)).
-4*p**4 - 248*p**3 - 3844*p**2
Let t(f) = 10*f - 5 + 5. Let h(s) = -13*s**2 - 3*s + 3*s - 204*s**2 + 214*s**2. Calculate h(t(p)).
-300*p**2
Suppose -39*u + 2 = -37*u. Suppose -d - u = 0, -3*a + 3*d = 6*d - 3. Let g(x) = -9*x**a + 4*x**2 + 7*x**2. Let v(n) = -9*n**2 + 2. Determine g(v(p)).
162*p**4 - 72*p**2 + 8
Let s(h) = 12*h**2. Let m(t) be the third derivative of t**5/24 + 4*t**3/3 - 20*t**2 + 2*t. Let b(q) be the first derivative of m(q). Give b(s(n)).
60*n**2
Suppose 2*h = 2*m - 6, 3*h + 3 = -m + 2. Let c(v) = -26*v**m - 21*v**2 + 30*v**2. | {
"pile_set_name": "DM Mathematics"
} |
h - 4. Let k be (-8)/6*(-3)/2. Factor 1/4 - 3/4*u**k - 1/2*u**4 + 1/4*u - 5/4*u**s.
-(u + 1)**3*(2*u - 1)/4
Suppose -2*s + z + 121 = -4*z, -3*z = -5*s + 293. Let u = s + -56. Factor b - 1/2*b**u - 1/2.
-(b - 1)**2/2
Let r = 1313 - 17065/13. Determine b, given that 0*b + 0*b**3 + 2/13*b**4 + 2/13 - r*b**2 = 0.
-1, 1
Let y(t) be the second derivative of t**4/18 + 424*t**3/9 + 44944*t**2/3 + 708*t. Find x such that y(x) = 0.
-212
Suppose 0 = -y + 4*y - 15. Factor -8*g**2 + 2*g**y + 3*g**5 - 4*g**3 + 0*g**5 - g**5 + 8*g**4.
4*g**2*(g - 1)*(g + 1)*(g + 2)
Let w(d) be the third derivative of -3*d**6/10 + 7*d**5/15 + d**4/3 + 151*d**2. Let w(o) = 0. Calculate o.
-2/9, 0, 1
Let q(j) be the first derivative of -j**6/30 + 3*j**5/5 - 9*j**4/2 + 18*j**3 - 3*j**2/2 + 11. Let g(b) be the second derivative of q(b). Factor g(v).
-4*(v - 3)**3
Suppose -25 = 4*g - 4*i - 53, 3*g - 25 = 4*i. Let m(t) be the first derivative of 2/3*t**g - 6*t - 10 - 2*t**2. Find a, given that m(a) = 0.
-1, 3
Let r = 37/1302 + 4/93. Let m(t) be the third derivative of 1/2*t**5 + 2*t**2 + 1/2*t**3 + 1/112*t**8 + 5/8*t**4 + 1/4*t**6 + 0 + 0*t + r*t**7. Factor m(c).
3*(c + 1)**5
Let q be (1 + (-15)/25)*354/(-4). Let t = -35 - q. Factor 2*j**3 + 0*j + 8/5*j**4 + 0 + t*j**5 + 4/5*j**2.
2*j**2*(j + 1)**2*(j + 2)/5
Let p(q) be the second derivative of q**6/90 + q**5/15 + q**4/6 - 9*q**3/2 - 19*q. Let k(r) be the second derivative of p(r). Determine u, given that k(u) = 0.
-1
Let k(x) be the first derivative of 1/8*x**2 + 1/2*x - 1/12*x**3 - 3. Suppose k(y) = 0. Calculate y.
-1, 2
Suppose -4 = r + 4*z, -3 = -1448*r + 1446*r + 3*z. Factor r - 2/15*q + 2/15*q**2.
2*q*(q - 1)/15
Let d(w) = 32*w**2 - 288*w - 11. Let p(k) = -6*k**2 + 58*k + 2. Let x(h) = -2*d(h) - 11*p(h). Factor x(u).
2*u*(u - 31)
Let w(t) = t**2 + 17*t - 138. Let n be w(6). Factor n - 3/7*b**3 + 2/7*b + 1/7*b**5 - 1/7*b**2 + 1/7*b**4.
b*(b - 1)**2*(b + 1)*(b + 2)/7
Factor -32/13*b**2 + 0*b - 2/13*b**3 + 0.
-2*b**2*(b + 16)/13
Let c(t) be the first derivative of -3*t**5/25 + 9*t**4/20 - 3*t**3/5 + 3*t**2/10 + 20. What is i in c(i) = 0?
0, 1
Let a = 1590/13 + -47687/390. Let u(r) be the first derivative of 0*r**4 - 1/18*r**3 + 13 + a*r**5 + 0*r + 0*r**2. Factor u(p).
p**2*(p - 1)*(p + 1)/6
Let t(x) be the second derivative of 9*x - 3/50*x**5 - 1/10*x**4 + 1/70*x**7 + 1/50*x**6 + 0 + 1/10*x**3 + 3/10*x**2. Find f, given that t(f) = 0.
-1, 1
Let w(c) = 14*c**4 - 16*c**3 - 4*c**2 + 6*c + 5. Let a(z) = 69*z**4 - 78*z**3 - 21*z**2 + 30*z + 24. Let x(d) = 5*a(d) - 24*w(d). Solve x(t) = 0.
-1, 0, 2/3, 1
Let q(d) = -7*d + 2 + 6*d - 13. Let a be q(-13). Factor -1 - 1 - 8*z + 7*z + 10*z**a.
(2*z - 1)*(5*z + 2)
Let z(u) be the first derivative of 2*u**3/21 + 176*u**2/7 + 15488*u/7 - 472. Factor z(a).
2*(a + 88)**2/7
Let c = -142 - -714/5. Suppose -c*y**2 + 1/5*y**5 + 0 + 3/5*y**4 + 0*y + 0*y**3 = 0. What is y?
-2, 0, 1
Suppose 0 - 4/9*i**4 + 4/9*i**2 + 164/9*i - 164/9*i**3 = 0. What is i?
-41, -1, 0, 1
Let w be ((-2)/4)/((-5)/(10 + -5)). Factor 5*f - 25/2 - w*f**2.
-(f - 5)**2/2
Let f(x) be the third derivative of x**9/90720 - x**8/3780 + x**7/1080 - 7*x**5/15 - 21*x**2. Let s(v) be the third derivative of f(v). Factor s(b).
2*b*(b - 7)*(b - 1)/3
Let w(z) = z**2 - 8. Let c be w(0). Let p = 10 + c. Factor 4 - 4 - 2*o**2 + p*o.
-2*o*(o - 1)
Let n = 705/2 - 352. Let h(o) be the second derivative of 6*o + 11/12*o**4 + 1/4*o**5 + 0 + 7/6*o**3 + n*o**2. Solve h(k) = 0 for k.
-1, -1/5
Suppose -3/7*s**2 - 16875/7 - 450/7*s = 0. Calculate s.
-75
Let y = -39 + 43. Let h be (0 - y/(-8))*0. Factor -16/9*t**3 - 8/9*t**2 + 0*t - 2/9*t**5 - 10/9*t**4 + h.
-2*t**2*(t + 1)*(t + 2)**2/9
Let r(n) be the first derivative of -34/21*n**3 + 16/7*n**2 + 3/7*n**4 - 10/7*n + 31. Factor r(g).
2*(g - 1)**2*(6*g - 5)/7
Let -11/2*b - 3 - 3/2*b**2 = 0. What is b?
-3, -2/3
Let t = -9 - -14. Determine r, given that -t*r - 25*r**2 - 21*r - 5*r**3 + 8*r - 20 - 22*r = 0.
-2, -1
Let v(a) be the third derivative of -3*a**6/20 + 47*a**5/30 + 11*a**4/3 - 4*a**3 + 10*a**2 + a. Factor v(y).
-2*(y - 6)*(y + 1)*(9*y - 2)
Let l(r) = -r**3 + 5*r**2 + r - 11. Let n be l(3). Let h = -7 + 11. Factor -1 - 3*b**h - n*b**3 - 5*b - 2*b**4 - 10*b**2 + b**5 + 0*b**5 - 2*b**5.
-(b + 1)**5
Let i(q) be the third derivative of -q**6/120 + q**5/3 - 3*q**4/4 - 8*q**3/3 - q**2. Let g be i(19). Find j such that 1/2*j**4 + j**g - 2*j + 2 - 3/2*j**2 = 0.
-2, 1
Find q, given that -24/13*q + 16/13 + 12/13*q**2 - 2/13*q**3 = 0.
2
Suppose 88/9*m + 64/3 - 4/9*m**2 = 0. What is m?
-2, 24
Let -91*c**4 + 0 - 753571*c**2 - 1/4*c**5 - 24843/2*c**3 - 68574961/4*c = 0. What is c?
-91, 0
Solve 2*n**2 + 0*n**2 - 12 + 16*n**3 - 4*n**3 - 4*n - 8*n**3 + 10*n**2 = 0.
-3, -1, 1
Let o(k) be the second derivative of 0 + 0*k**2 + 21*k + 0*k**3 - 3/40*k**5 + 1/12*k**4 + 1/60*k**6. Let o(p) = 0. What is p?
0, 1, 2
Let x(z) be the second derivative of 0*z**2 - 12*z - 3/2*z**4 + 0 + 2/3*z**3. Factor x(o).
-2*o*(9*o - 2)
Let f(d) be the first derivative of d**4/5 - 4*d**3/15 - 4*d**2 - 32*d/5 - 45. Determine m, given that f(m) = 0.
-2, -1, 4
Suppose 60 = 2*s + 3*s. Suppose 6 - s = -3*i. Factor -77/2*q**2 + 49/2*q**3 + 16*q - i.
(q - 1)*(7*q - 2)**2/2
Let d = -497 + 500. Let s(o) be the first derivative of 4 + 1/9*o**d + 4/3*o - 2/3*o**2. What is q in s(q) = 0?
2
Let k(m) be the third derivative of m**6/1020 + m**5/85 - 5*m**4/68 + 8*m**3/51 - 6*m**2. What is x in k(x) = 0?
-8, 1
Let l(h) be the first derivative of -2 - 6*h**2 + h**4 - 1/5*h**5 - 9*h + 2/3*h**3. Factor l(a).
-(a - 3)**2*(a + 1)**2
Let j(z) be the first derivative of 1/20*z**5 + 0*z - 1/180*z**6 - 1/6*z**4 + 3*z**3 + 4 + 0*z**2. Let h(w) be the third derivative of j(w). Factor h(s).
-2*(s - 2)*(s - 1)
Let b(m) be the second derivative of m**5/360 + 5*m**4/144 + m**3/9 - 49*m**2/2 - 25*m. Let t(p) be the first derivative of b(p). Find w, given that t(w) = 0.
-4, -1
Let u(w) be the first derivative of w**3/3 - 20*w**2 + 675. Factor u(l).
l*(l - 40)
Let p = -932 + 934. Let b(m) be the first derivative of 2/9*m**2 + p + 0*m**4 + 0*m - 2/45*m**5 + 2/9*m**3. Find d such that b(d) = 0.
-1, 0, 2
Let h(b) = -2*b + 38. Let r be h(18). Solve -14*o**2 + 17*o**r + 12*o**2 - 5*o**3 = 0.
0, 3
Let k(f) be the third derivative of f**6/320 + 3*f**5/160 - f**4/16 + 12*f**2 + 7*f. Let k(t) = 0. What is t?
-4, 0, 1
Factor -8*f**3 + 20*f**4 + 14*f**5 - 22*f**5 - 4*f**2 - 4*f**3 + 4*f.
-4*f*(f - 1)**3*(2*f + 1)
Let a be 12/18 + 2/(-12). Let o(z) = z**2 + 2*z - 61. Let n be o(-9). Factor -a*i**n - 4*i - 8.
-(i + 4)**2/2
Let x(l) be the second derivative of -l**7/105 + 4*l**5/25 - l**4/5 - 7*l**3/15 + 6*l**2/5 - 6*l - 2. Find s, given that x(s) = 0.
-3, -1, 1, 2
Suppose -296*o = -291*o - 10. Find i such that -i**o - 2/5*i + 1/5*i**4 - 3/5*i**3 + 1/5*i**5 + 0 = 0.
-1, 0, 2
Factor 1/5*v**2 + 1/5*v - 4.
(v - 4)*(v + 5)/5
Let c(z) be the second derivative of 2*z**2 - 12*z - z**4 + 0 + 0*z**3 + 2/5*z**5. Factor c(o).
4*(o - 1)**2*(2*o + 1)
Let s be (3/3 + -1)/(-3). Let p(m) be the first derivative of s*m**2 + 0*m**3 - 1/5*m**4 - 1/5*m**6 - 2 + 0*m - 2/5*m**5. Factor p(i).
-2*i**3*(i + 1)*(3*i + 2)/5
Let n(t) be the third derivative of -t**9/241920 - t**8/40320 - t**7/20160 + t**5/20 - 10*t**2. Let z(q) be the third derivative of n(q). Factor z(d).
-d*(d + 1)**2/4
Let q(f) = -f**2 + 3. Let s(b) = -2*b**2 - 10*b + 24. Let i(c) = 4*q(c) - s(c). Factor i(k).
-2*(k - 3)*(k - 2)
Let j(b) be the second derivative of -13/60*b**5 + 2*b**2 + 1/6*b**4 + 7*b + 0 + 2/3*b**3 + 1/24*b**6. Let d(w) be the first derivative of j(w). Factor d(f).
(f - 2)*(f - 1)*(5*f + 2)
Let k = -9279 + 64965/7. Factor 8/7*g**4 + k*g**3 - 4/7*g**5 + 0 + 0*g**2 + 0*g.
-4*g**3*(g - 3)*(g + 1)/7
Find i such that -4*i**4 + 1372*i - 588*i**2 + 149 - 149 + 87*i**3 - 3*i**3 = 0.
0, 7
Let b(g) = 54*g + 108. Let f be b(-2). Find j such that 0 - 2/5*j**3 + 0*j + f*j**4 + 0*j**2 + 2/5*j**5 = 0.
-1, 0, 1
Solve 32*c**2 + 1 + 16*c + 4 - 6*c - 27*c**2 = 0.
-1
Let d(x) be the third derivative of 0*x**3 + 0 - 1/50*x**5 + 1/100*x**6 - 3*x**2 + 0*x + 1/75*x**7 - 1/30*x**4 + 1/280*x**8. What is o in d(o) = 0?
-1, 0, 2/3
Suppose -m - 5*h + 24 = -15, -5*m = 4*h - 174. Let n = m - 32. Factor -19*b**2 - 2*b**4 + 21*b**n - 6*b + 0*b**4 + 6*b**3.
- | {
"pile_set_name": "DM Mathematics"
} |
857*r + 20060 = 2621*r for r.
-85
Solve -1314 = -29*o + 1303 + 46 - 198 for o.
85
Solve -89*p = -422 - 1291 - 1491 for p.
36
Solve 10592*i + 72369 = -425455 for i.
-47
Solve -500*x + 12292 - 4071 = -5779 for x.
28
Solve -29255*a + 27999*a = 69080 for a.
-55
Solve -7*z = -101*z + 189*z + 185*z - 16800 for z.
60
Solve 9990 = 56454*n - 55344*n for n.
9
Solve 0*c + 6369 = -7*c - 70*c - 116*c for c.
-33
Solve -9544 - 9613 = 108*c - 19913 for c.
7
Solve -253*q + 594*q - 9099 = -670*q for q.
9
Solve -39969*n + 39631*n = -1601 + 487 - 238 for n.
4
Solve -3336*y + 4699*y = -36801 for y.
-27
Solve -7629 = -589*c + 14753 for c.
38
Solve 2617*j - 1617*j + 377365 = 3290*j + 3025*j for j.
71
Solve -11463*l = -11829*l - 42456 for l.
-116
Solve 273 = 87*h + 623 + 223 + 1689 for h.
-26
Solve 2047*v + 981*v + 8493 = -171*v + 43682 for v.
11
Solve -935 + 307 - 334 = -74*f for f.
13
Solve 0 = 1751*j + 1733*j - 6968 for j.
2
Solve 70*w - 379*w + 3666 + 1872 = 614*w for w.
6
Solve 0 = -355*w + 34274 - 43859 for w.
-27
Solve 245238 - 248121 = 93*u for u.
-31
Solve 348 = -769*o + 1469*o - 729*o for o.
-12
Solve -1367*j + 3799 = -1498*j for j.
-29
Solve 4*v + 373*v + 6806 + 4678 = 29*v for v.
-33
Solve 396*p - 5726 = 11514 + 1372 for p.
47
Solve 1026*l - 51402 = -292*l for l.
39
Solve 83149 + 113503 + 64573 = 6554*f + 18727 for f.
37
Solve -134*n + 614*n + 204*n + 513*n + 107730 = 0 for n.
-90
Solve 0 = -172*k - 329557 + 319581 for k.
-58
Solve 947*l - 8103 = 11784 for l.
21
Solve -640*m - 3346791 = 327*m - 3330352 for m.
-17
Solve 2112974*x - 2113058*x + 756 = 0 for x.
9
Solve 1392*g = -7917 - 19923 for g.
-20
Solve 0 = 1302*b - 510*b - 11088 for b.
14
Solve 25*d - 3478 = 11*d + 25*d + 36*d for d.
-74
Solve 0 = -142*h - 667 - 1286 - 9549 for h.
-81
Solve 1471*g - 323*g - 21800 = 16084 for g.
33
Solve 10660 = 163*j - 404*j + 57*j + 20*j for j.
-65
Solve -476*w = -1279*w + 462*w + 443*w - 4386 for w.
43
Solve 830*x = 1580*x - 822*x + 144 for x.
2
Solve -23*d - 42*d + 53*d = -60 for d.
5
Solve -5649 = -248*y - 108*y + 87*y for y.
21
Solve -135648 = 16909*l - 15496*l for l.
-96
Solve -8080 = -476*p - 1892 for p.
13
Solve -8170 + 18779 = 1468*y - 53983 for y.
44
Solve 170*a = -3579 + 3297 - 9578 for a.
-58
Solve 26280 - 184336 = -4210*t + 1924 for t.
38
Solve 4651*x + 315*x + 1191150 = -414*x - 2561*x for x.
-150
Solve 2729*k - 19728*k + 65056 = -1107875 for k.
69
Solve 6050 = -207*b - 2644 for b.
-42
Solve -3552*b - 250*b + 3736 = -203530 - 55072 for b.
69
Solve -7956 = -2695*t + 24384 for t.
12
Solve 0 = 141*m + 291869 - 303290 for m.
81
Solve 1407*k + 2269 = -545 for k.
-2
Solve -6376 = 4*d - 38*d - 59*d - 982 for d.
58
Solve 1895*u + 47120 = -533*u + 644*u + 606*u for u.
-40
Solve 3*d + 9*d + 7069 + 8180 = -209*d for d.
-69
Solve 192962*z = 192915*z + 1222 for z.
26
Solve -t + 14*t - 25747 = -25747 for t.
0
Solve 1816 = 28*m + 332 for m.
53
Solve 1072174*f = 1072246*f + 648 for f.
-9
Solve 75*u + 49521 = -23*u + 58243 for u.
89
Solve -1586*u + 17331 = -4873 for u.
14
Solve -4680 - 3234 = 171*t + 2175 for t.
-59
Solve 161*r + 14356 - 1706 = -22*r - 47*r for r.
-55
Solve -4398 = -75*z + 1227 for z.
75
Solve 915 = 37*y + 1656 - 926 for y.
5
Solve 217*m + 62*m = -143*m - 37083 - 8493 for m.
-108
Solve -108*v = -112*v + 233*v - 17175 for v.
75
Solve 108*c + 4218 + 1270 = -88*c for c.
-28
Solve 41*a - 3361 + 704 - 4009 = -60*a for a.
66
Solve -2421499 = 12*y - 2421631 for y.
11
Solve -35792*o + 163 = -35784*o + 499 for o.
-42
Solve -13447 + 4710 + 446 = -345*c + 14479 for c.
66
Solve -2596*r + 218*r - 54694 = 0 for r.
-23
Solve 3*t + 2537*t - 53340 = 0 for t.
21
Solve 7732*i - 1702 = 7686*i for i.
37
Solve -43*v - 15491 = -15190 for v.
-7
Solve 422*g + 51263 = -2331 for g.
-127
Solve -13350 = 117670*h - 118872*h + 46750 for h.
50
Solve -469*n + 661*n = -19392 for n.
-101
Solve -28723*d = -28574*d + 3278 for d.
-22
Solve 224*s - 418 + 3946 + 1938 + 806 = 0 for s.
-28
Solve 0 = -5086*h + 119396 + 278086 + 126376 for h.
103
Solve 87*q + 451*q = -4845*q + 78*q + 376655 for q.
71
Solve -644*q + 207*q + 35 = 215*q + 13075 for q.
-20
Solve 59798 = -50*k + 61398 for k.
32
Solve -2931*x = 3376*x - 616*x - 227640 for x.
40
Solve -1867 + 3177 = -159*k + 2105 for k.
5
Solve -5100*q + 951*q - 315588 = -740*q + 4105*q for q.
-42
Solve 232*y - 120*y - 13840 = -234*y for y.
40
Solve -28625*r = -28572*r - 3657 for r.
69
Solve 12898*g - 707842 = 2444*g + 578000 for g.
123
Solve 51780*n - 2327 = 51867*n + 1327 for n.
-42
Solve 1463*d + 95683 + 226977 = -2763*d - 167556 for d.
-116
Solve -3078*y = 3051*y - 6111*y - 702 for y.
39
Solve 81*l + 37*l - 1664 = -214*l - 84*l for l.
4
Solve -1080*z = -2219*z + 1060*z - 711 for z.
-9
Solve -42*w - 1850 = -174*w + 2374 for w.
32
Solve 19558*z - 15708 = 19327*z for z.
68
Solve -14244*h - 1476534 = -31413*h for h.
86
Solve -293501 = -113*w - 295083 for w.
-14
Solve -69*z = -z + 2*z + 543 + 2327 for z.
-41
Solve 491*t + 327*t + 124664 - 10144 = 0 for t.
-140
Solve 584*s - 13543 + 135088 = -1081*s for s.
-73
Solve -38*n - 150*n + 3617 - 11612 = 7*n for n.
-41
Solve -2188*f = -2162*f - 510 - 114 for f.
24
Solve 29*i + 57*i - 2*i - 1110 = 10*i for i.
15
Solve 14875 = 86*w - 32*w + 77*w - 6*w for w.
119
Solve -8945*v + 9277*v + 18592 = 0 for v.
-56
Solve 124*t + 7642 - 1938 = 0 for t.
-46
Solve -689*g - 7077 = 8274 - 2949 for g.
-18
Solve 74903 = -3757*o - 3606 - 118466 - 141155 for o.
-90
Solve -38540 = -133*d - 37609 for d.
7
Solve 780*o - 849*o = -4209 for o.
61
Solve 1355232*a - 1355045*a - 17952 = 0 for a.
96
Solve -58812 = 1771*y - 42873 for y.
-9
Solve 0 = 74*h - 5216*h + 395934 for h.
77
Solve 19362 = -1160*u - 10798 for u.
-26
Solve -4755*v - 70382 + 11979 = 55717 for v.
-24
Solve -132 = -37*m - 97*m - 997 - 877 for m.
-13
Solve 80457 = -10*k + 80407 for k.
-5
Solve 48*a + 183*a + 12*a = -3402 for a.
-14
Solve 2189*j - 100352 + 14981 = 0 for j.
39
Solve -148*c - 18003 + 17559 = 0 for c.
-3
Solve 71*a = 379*a - 125*a + 5490 for a.
-30
Solve -89*k + 113 + 511 = -711 for k.
15
Solve -5530*f - 259440 = -8350*f for f.
92
Solve -1683*m - 11*m + 64372 = 0 for m.
38
Solve 129*b - 16*b + 40*b + 3936 = -93*b for b.
-16
Solve 197*l - 1536 = -82*l - 65*l + 9128 for l.
31
Solve -121*d = 3912 - 403 for d.
-29
Solve -15140*r - 26055 = -14561*r for r.
-45
Solve -21*p - 267*p = -1162 - 14390 for p.
54
Solve -172*a = 205*a + 136*a - 26*a + 32629 for a.
-67
Solve -1837*q - 3137*q + 717*q = 1412*q + 283450 for q.
-50
Solve -8866*r - 9776 = 401799 - 39203 for r.
-42
Solve -16*l + 187*l = 136*l + 2380 for l.
68
Solve -172*t - 728*t = -393*t + 6591 for t.
-13
Solve 2609*r + 36818 + 13613 + 121849 = 249*r for r.
-73
Solve 796*t - 995*t = 1330*t - 123849 for t.
81
Solve 0 = 71*k - 159*k + 352 for k.
4
Solve 144290*i = 144196*i - 5264 for i.
-56
Solve 1631 = -284*g - 641 for g.
-8
Solve 101*h = 14*h + 397*h + 19530 for h.
-63
Solve -43 + 918 = -125*y for y.
-7
Solve 62*m + 222*m + 3993 = 13249 + 4944 for m.
50
Solve 35*b - 21 = 158*b - 627 - 9 for b.
5
Solve 460*p + 2790 = 522*p for p.
45
Solve 0 = -77060*q + 76831*q - 9847 for q.
-43
Solve -141*w = -39*w + 97*w + 1331 + 2649 for w.
-20
Solve -767*h - 404 - 254 = 346*h + 1568 for h.
-2
Solve -755*i + 244*i - 37814 = 0 for i.
-74
Solve 0 = 4770*m - 19303 - 52247 for m.
15
Solve 3347*b + 36211 - 21648 = 100142 + 48301 for b.
40
Solve -41*r - 17*r + 8*r - 4611 = -1861 for r.
-55
Solve 1066 = 64*f + 66*f - 2184 for f.
25
Solve 5693 = 1375*m - 3924*m - 60581 for m.
-26
Solve -4581 = 94*y + 38*y + 135 + 6768 for y.
-87
Solve -2006*b + 665*b - 5884 + 25423 + 62262 = 0 for b.
61
Solve -425*f - 18151 = 15424 for f.
-79
Solve 2116*s = 2829*s - 28520 for s.
40
Solve 3277*k + 174471 = -2010*k for k.
-33
Solve 3894 = -208*s - 3943 + 1860 - 4007 for s.
-48
Solve -65*f + 36*f = -992 + 424 + 46 for f.
18
Solve -277588*t + 277608*t + 540 = 0 for t.
-27
Solve 2648*v + 11416*v - 2110 = 40082 for v.
3
Solve 55*y = 1085 + 125 for y.
22
Solve 28*p - 1114 = -11*p - 498 + 1763 for p.
61
Solve 138*z + 2716 = 1468 - 648 - 3348 for z.
-38
Solve -144 = -207*g + 3744 - 369 for g.
17
Solve -599*z - 470*z - 417*z = -94*z - 64032 for z.
46
Solve -59*q + 52*q - 40 = 86 for q.
-18
Solve -960*m + 46958 = -74*m for m.
53
Solve -1127*m + 224 = -565*m - 566* | {
"pile_set_name": "DM Mathematics"
} |
e 2*t - 7 - 61 = r. What is the remainder when t is divided by 12?
10
Let l(y) = -y + 5. Let k be l(8). Let p = k - -6. Suppose p*i - 83 + 32 = 0. What is the remainder when i is divided by 6?
5
Suppose -2*m + 5*m - 3*f = 141, 5*m = -5*f + 255. What is the remainder when 243 is divided by m?
47
What is the remainder when 51 is divided by (35/(-3) - -3)*3/(-2)?
12
Let r(d) = d**2 + 14*d + 9. Calculate the remainder when 44 is divided by r(-14).
8
Suppose 2*n = -2*o + 26 - 0, -58 = -4*n + 2*o. What is the remainder when 30 + 0 + (-96)/24 is divided by n?
12
Let f(g) = g**3 + 8*g**2 - 14*g - 18. Calculate the remainder when f(-9) is divided by 10.
7
Suppose 6 + 6 = -3*q. What is the remainder when 14 is divided by (-318)/(-39) - q/(-26)?
6
Let y(u) = u**2. Let c(d) = 11*d**2 + d + 1. Let v(z) = c(z) - 6*y(z). Calculate the remainder when 1 - ((-4)/3 + (-125)/3) is divided by v(2).
21
Let q(v) = -11*v + 1. Let s(y) = -6*y + 8. Calculate the remainder when s(-6) is divided by q(-2).
21
Let i = -8 + -3. Calculate the remainder when 32 is divided by (i/4)/(1/(-4)).
10
Calculate the remainder when 774/22 + (80/44 - 2) is divided by 9.
8
Let g(d) = -d**2 - 2*d. Let t be g(5). Suppose 3*x - 45 = -2*x. Calculate the remainder when x is divided by ((-14)/t)/(2/20).
1
Suppose -2*k + 4*k = -4. Let a be 22/8 - k/8. What is the remainder when 26 is divided by 1 + 1 - a - -10?
8
Let c(g) = g**2 - 7*g + 4. Let x be c(6). Let k = 23 - x. Calculate the remainder when 98 is divided by k.
23
Suppose 5*p + 5*s - 10 = 0, -6*p = -5*p + 2*s - 1. Calculate the remainder when p is divided by 3.
0
Let c be -3 + (-1 - 14*-1). Let s = c - 4. Calculate the remainder when 11 is divided by s.
5
Let b(s) = -27*s + 6. Let m be b(5). Let d = -59 - m. What is the remainder when d is divided by 24?
22
Let k = -2 + 0. Calculate the remainder when 12 is divided by -4*(26/(-8) - k).
2
Let n = 77 + -35. Calculate the remainder when n is divided by 9.
6
Let d(t) = 4*t - 4. What is the remainder when 79 is divided by d(5)?
15
Let z be (-4)/(-2) - 2/(-2). Suppose z*r - 11 = -2*u + 117, -142 = -3*r + 5*u. Calculate the remainder when 4 is divided by r/12 - (-2)/(-3).
1
Suppose -3*m = -5*t - 54, m - 3 = t + 15. Calculate the remainder when 34 is divided by m.
16
Suppose 0 = -3*o + 2*o - 3. Calculate the remainder when (o + 5)*39/6 is divided by 5.
3
Let v(d) = -d**2 - 8*d - 9. Let f be v(-6). Suppose h + 26 = f*h. Calculate the remainder when 24 is divided by h.
11
Calculate the remainder when (28/(-12))/((-1)/27) is divided by 16.
15
Let x(v) = -2*v**2 - 1 - v**2 - 1 - 10*v + 2*v**2. Suppose 4*w - 1 + 29 = 0. What is the remainder when x(w) is divided by 7?
5
Suppose 2*w - 4*w = -666. Let x = w + -219. Suppose 3*a - x = -3*m + a, -2*m + 76 = -3*a. Calculate the remainder when m is divided by 10.
8
Suppose -10*b + 126 = -3*b. What is the remainder when 105 is divided by b?
15
Let c = 11 + -8. Suppose 5*h + t - 85 + 1 = 0, 31 = 2*h + c*t. What is the remainder when 66 is divided by h?
15
Let p(y) = -2*y - 8. Let b be p(-8). Suppose 0 = l - b - 8. Calculate the remainder when 61 is divided by l.
13
Suppose 0*n - 5*n = 40. Let d(w) = -w + 11. Suppose -3*j = 2*p - 109, -3*p + 2*j + 170 = -0*j. What is the remainder when p is divided by d(n)?
18
Calculate the remainder when 2/6 - (-160)/6 is divided by 10.
7
Let m(s) = -2 - 4 + 2*s**2 - 3*s + 4*s**2 + s**3. Calculate the remainder when m(-6) is divided by 1*2 + (2 - -3).
5
Suppose 26 = -s + 9*t - 4*t, 0 = -2*s - t - 30. Let j = 23 + s. What is the remainder when 19 is divided by j?
5
Let v = -9 - -15. Let c(p) = 2*p + 4. What is the remainder when 45 is divided by c(v)?
13
Let c(g) = 4*g**2 - 4*g**2 - 2*g**2 + g**2 - 5*g. Let s be c(-5). Suppose -5*f - 2*t - t + 147 = s, -t + 4 = 0. What is the remainder when f is divided by 14?
13
Suppose 2 = -k + 2*k. Suppose 0 = -k*n + 11 + 41. Let t(m) = -m**3 - m + 9. What is the remainder when n is divided by t(0)?
8
Let r = 34 - 19. Calculate the remainder when r is divided by 6.
3
Let f(h) = -9*h - 3. Let s(v) = -8*v - 2. Let x(l) = -5*f(l) + 6*s(l). Let j be x(3). What is the remainder when 20/j*(-18)/4 is divided by 8?
7
Let f = -96 - -106. What is the remainder when 27 is divided by f?
7
Let t(c) = -5 + 18 + 0*c**2 + 4*c**2 - 11 - c**3. What is the remainder when t(3) is divided by 4?
3
Suppose y - 5*g = 21, 3*y + g = 4*g + 51. Calculate the remainder when 47 is divided by y.
15
Let o(w) = 121*w**2 + 1. Calculate the remainder when o(-1) is divided by 25.
22
Suppose 3*q = 3*j + 6, -3*q - 10 = 4*j - 37. Calculate the remainder when q is divided by 4.
1
Suppose 3*r - 3*f = 81, f - 57 = -3*r - 4*f. What is the remainder when 95 is divided by r?
23
Calculate the remainder when (-386)/(-8) - 9/(-12) - 4 is divided by 8.
5
Suppose 5*o - 5*b = 95, 2*b + 29 = 4*o - 47. Let a(t) = 6*t**2 - 2*t - 5. What is the remainder when a(-3) is divided by o?
17
Suppose -2*h + 2*g = 4 - 28, -g = -3*h + 36. What is the remainder when 34 is divided by h?
10
Let k(i) = i**2 + 2*i - 7. Suppose 5*c + 1 = -24. Calculate the remainder when 31 is divided by k(c).
7
Let v = 6 + 10. Calculate the remainder when 47 is divided by v.
15
Suppose -1 - 3 = -2*n. Let q = 0 - -13. What is the remainder when q/6 - (-3)/(-18) is divided by n?
0
Let d = 52 - 39. What is the remainder when 49 is divided by d?
10
Let q(n) = 43*n**2 + 22*n**2 - 17*n**2 - 2*n - 1. Suppose 84*w - 50*w = 578. What is the remainder when q(-1) is divided by w?
15
Let s = 9 + -11. Let v(p) = 4*p**2 + 2*p. Calculate the remainder when 34 is divided by v(s).
10
Let f = -16 + 24. What is the remainder when 29 is divided by f?
5
Let a = -5 - -7. Let w(f) = f**2 + 7*f + 1. Let v(x) = x**2 + 6*x + 1. Let d(z) = 6*v(z) - 5*w(z). What is the remainder when a is divided by d(-1)?
0
Suppose s = -4*s + 100. Suppose 7*w = -0*w + 266. What is the remainder when w is divided by s?
18
Calculate the remainder when 15 is divided by ((-12)/(-3) - -4) + 1.
6
Let o(r) = -r**2 + 4*r + 1. Let f be o(3). Suppose -f*q + 0*q + 8 = 0. What is the remainder when 5 is divided by q?
1
Suppose 4*a + 216 = -0*a. What is the remainder when a/(-2) - (0 - 2) is divided by 11?
7
Suppose 4*h = 2*q - 10, 2*h + 40 = 2*q + 4*h. Calculate the remainder when 41 is divided by q.
11
Let l be 1*(3 - (-1 - -3)). Suppose -6*g - 4 = -4*g. What is the remainder when 29 is divided by (g - 3)/(l/(-3))?
14
Let o be 212/12 - 1/(-3). Calculate the remainder when 158/o - (-8)/36 is divided by 5.
4
Let o = 44 + -31. Suppose 0 = 5*y - 5*m + 15, -m = 3*y - 0*m + 13. Let c(g) = 2*g**2 - g + 1. Calculate the remainder when c(y) is divided by o.
11
Suppose 0 = v - 8 - 23. What is the remainder when 119 is divided by v?
26
Suppose -147 = -3*k + 5*g - 4*g, 4*k - 201 = 3*g. Suppose -4*d - 4*n = -k, -2*d + d + n = -18. What is the remainder when 42 is divided by d?
12
Let h(b) = 3*b**3 - 3*b**2 - b + 1. Calculate the remainder when h(3) is divided by 27.
25
Calculate the remainder when 62 is divided by 130/8 + 1/(-4).
14
Let i(z) = -15*z. Let h = -9 + 6. What is the remainder when i(h) is divided by 12?
9
Let o(d) = d**3 + 9*d**2 + 6*d. Let c = -1 - 6. Calculate the remainder when o(c) is divided by 19.
18
What is the remainder when 122 is divided by -12*(-2 + (-6)/(-12))?
14
Suppose 10*r = 5*r. Suppose 4*q = -r*q + 96. Suppose -188 = -3*o - o. Calculate the remainder when o is divided by q.
23
Calculate the remainder when 71 is divided by 122/14 + 4 + 26/(-7).
8
Let k = -17 - -24. Let d(l) = l - 2. Calculate the remainder when k is divided by d(5).
1
Let n(h) = -4*h**2 - 6*h**2 + 3*h - 1 - 2*h. Let o be n(1). Let s = o - -43. What is the remainder when s is divided by 12?
9
Suppose -45 - 3 = -r. What is the remainder when r is divided by 17?
14
Let g = -14 + 18. What is the remainder when g is divided by 3?
1
Suppose -3*u - 81 = -3*s - 2*u, 61 = 2*s - 3*u. What is the remainder when s is divided by 7 - 2/(1 - 2)?
8
What is the remainder when 84 is divided by 22 - (1 - (0 + 1))?
18
Suppose 2 = -2*n, i + 0*i = -2*n. What is the remainder when 6 is divided by i?
0
Let b(v) = v**3 + 5*v**2 + 3*v. Calculate the remainder when ((-51)/5)/(3/(-10)) is divided by b(-3).
7
Suppose 6*z - 33 = 165. Calculate the remainder when z is divi | {
"pile_set_name": "DM Mathematics"
} |
common multiple of 2049088 and 634?
2049088
What is the lowest common multiple of 674300 and 674300?
674300
Calculate the common denominator of 113/332640 and -57/640.
1330560
Calculate the smallest common multiple of 20400 and 51000.
102000
Calculate the lowest common multiple of 12 and 3094376.
9283128
What is the common denominator of -5/56 and 29/180440?
1263080
Calculate the common denominator of -67/36584 and 93/310964.
621928
Calculate the common denominator of -83/924 and 157/252.
2772
What is the common denominator of -131/186912 and -17/3696?
1308384
Find the common denominator of -145/4104 and 97/26424.
1506168
Calculate the smallest common multiple of 766656 and 2178.
766656
What is the common denominator of -17/37216 and -57/2326?
37216
What is the least common multiple of 17352 and 958698?
3834792
Calculate the smallest common multiple of 4 and 1796012.
1796012
What is the smallest common multiple of 26752 and 45056?
856064
Calculate the lowest common multiple of 290 and 18842.
2732090
Find the common denominator of 7/68568 and -8/31427.
754248
Calculate the lowest common multiple of 276363 and 184242.
552726
Find the common denominator of 49/1012506 and 63/8.
4050024
Calculate the least common multiple of 27 and 428.
11556
Calculate the common denominator of 34/261 and -47/945.
27405
What is the lowest common multiple of 45 and 910?
8190
What is the common denominator of 55/12 and 139/39240?
39240
Calculate the lowest common multiple of 113520 and 113520.
113520
Calculate the common denominator of 107/182700 and 78/11165.
2009700
What is the lowest common multiple of 748 and 109004?
1199044
Calculate the common denominator of 113/41118 and -121/153258.
1685838
What is the common denominator of -40/57 and 64/8493?
8493
Calculate the lowest common multiple of 42 and 56476.
169428
What is the common denominator of -101/10162 and -11/52?
264212
Calculate the common denominator of -103/120060 and 64/6003.
120060
Calculate the smallest common multiple of 24276 and 98.
169932
What is the common denominator of 20/12261 and 43/36783?
36783
What is the least common multiple of 8216 and 6370?
2012920
What is the smallest common multiple of 154770 and 4020?
309540
Find the common denominator of 73/2169402 and -55/12.
4338804
Calculate the least common multiple of 28500 and 1330.
199500
Calculate the smallest common multiple of 3120 and 220.
34320
What is the smallest common multiple of 18 and 1198515?
7191090
What is the least common multiple of 4877720 and 36?
43899480
What is the smallest common multiple of 27366 and 12?
54732
What is the least common multiple of 8076 and 44418?
88836
What is the common denominator of -13/6612 and 46/4959?
19836
What is the least common multiple of 30 and 2752593?
27525930
What is the lowest common multiple of 1700136 and 204?
1700136
What is the common denominator of -111/2200 and -69/152900?
305800
Find the common denominator of -58/115 and -15/153364.
766820
Calculate the lowest common multiple of 413 and 596254.
4173778
What is the lowest common multiple of 33913 and 297?
915651
What is the common denominator of 153/1540 and -179/8316?
41580
Calculate the smallest common multiple of 18 and 663918.
1991754
Calculate the smallest common multiple of 1875 and 115625.
346875
What is the lowest common multiple of 17150 and 574?
703150
Calculate the common denominator of -163/360 and -121/828.
8280
Calculate the smallest common multiple of 27 and 7461.
22383
Calculate the common denominator of 87/8498 and 67/14568.
101976
Calculate the least common multiple of 5474 and 1309.
60214
Calculate the common denominator of 181/6690 and -131/30.
6690
What is the least common multiple of 3 and 789982?
2369946
Find the common denominator of 63/55978 and 61/52.
111956
What is the common denominator of 73/160 and -21/31408?
314080
Calculate the common denominator of 76/55935 and -89/315.
391545
Calculate the common denominator of -63/8060 and -133/4030.
8060
Calculate the smallest common multiple of 28322 and 5491.
538118
Calculate the common denominator of -67/1264 and 91/11850.
94800
Find the common denominator of 127/3380 and -101/24.
20280
What is the smallest common multiple of 3400 and 860?
146200
Calculate the least common multiple of 27 and 1172265.
10550385
Calculate the smallest common multiple of 72 and 46584.
46584
What is the least common multiple of 34226 and 1099?
239582
Calculate the smallest common multiple of 20653 and 38.
41306
Calculate the common denominator of 32/9197 and 101/20558.
349486
What is the common denominator of -61/34800 and 31/120?
34800
Find the common denominator of -97/81720 and 41/11350.
408600
What is the common denominator of 161/4860 and -67/11700?
315900
Calculate the common denominator of 29/83928 and 115/48958.
587496
Find the common denominator of -1/27 and 167/18720.
56160
Calculate the least common multiple of 1648 and 222274.
1778192
Calculate the smallest common multiple of 44685 and 45.
44685
Calculate the lowest common multiple of 19068 and 1816.
38136
Calculate the common denominator of -43/3410 and -46/325.
221650
What is the lowest common multiple of 583 and 228?
132924
What is the least common multiple of 5970 and 11343?
113430
Calculate the smallest common multiple of 42 and 434147.
2604882
What is the common denominator of 2/4959 and 37/580?
99180
What is the least common multiple of 1790 and 40275?
80550
Calculate the smallest common multiple of 13168 and 24.
39504
What is the common denominator of -149/650720 and -31/43120?
7157920
What is the common denominator of -14/15 and 29/6402?
32010
Find the common denominator of 57/5915 and 58/95.
112385
Calculate the common denominator of 37/154 and -95/72842.
72842
Calculate the smallest common multiple of 399 and 15207.
2022531
Calculate the lowest common multiple of 1379 and 331748.
2322236
What is the common denominator of 91/59352 and 29/66771?
534168
Calculate the least common multiple of 150 and 6885.
68850
What is the smallest common multiple of 76240 and 83864?
838640
What is the smallest common multiple of 1984 and 128?
3968
Find the common denominator of -13/17404 and -50/47861.
191444
What is the common denominator of 73/7480 and 193/3300?
112200
Find the common denominator of -41/13920 and -8/4205.
403680
Calculate the common denominator of -83/3346 and 109/57838.
404866
What is the smallest common multiple of 60 and 454830?
909660
Calculate the common denominator of -3/553 and -99/41080.
287560
Calculate the common denominator of -17/15120 and 131/2520.
15120
What is the smallest common multiple of 5320 and 38?
5320
Find the common denominator of -38/32073 and 79/64146.
64146
What is the common denominator of 29/76 and 59/11704?
11704
Calculate the least common multiple of 248230 and 471637.
4716370
What is the lowest common multiple of 2304 and 576?
2304
Find the common denominator of -29/5751 and 127/1278.
11502
What is the common denominator of 25/112336 and 121/24072?
337008
Find the common denominator of 79/2342568 and 43/14.
16397976
Calculate the smallest common multiple of 534285 and 5745.
534285
Calculate the lowest common multiple of 496783 and 567752.
3974264
Find the common denominator of 37/202160 and 71/684.
1819440
Find the common denominator of 5/11094 and 51/215.
55470
Calculate the least common multiple of 86670 and 86670.
86670
Calculate the lowest common multiple of 609687 and 143.
6706557
Calculate the lowest common multiple of 78 and 24.
312
What is the common denominator of 53/52440 and 157/2208?
209760
What is the least common multiple of 94923 and 1194?
189846
Find the common denominator of -29/84 and -71/25980.
181860
Calculate the least common multiple of 7320 and 20.
7320
Find the common denominator of -93/5360 and 45/17152.
85760
Find the common denominator of 11/1005662 and 89/485492.
14079268
Calculate the smallest common multiple of 91 and 10010.
10010
Calculate the common denominator of 4/3575 and -81/13340.
9538100
Calculate the lowest common multiple of 552 and 72.
1656
Calculate the lowest common multiple of 32740 and 62206.
622060
What is the least common multiple of 1296 and 808?
130896
Find the common denominator of 40/79 and 91/9164.
9164
What is the smallest | {
"pile_set_name": "DM Mathematics"
} |
29 a factor of 1305?
True
Is 598 a multiple of 26?
True
Is 2597 a multiple of 53?
True
Does 9 divide 11471?
False
Is 7 a factor of 394?
False
Does 42 divide 23016?
True
Is 37 a factor of 1110?
True
Does 12 divide 804?
True
Is 2912 a multiple of 91?
True
Is 222 a factor of 14430?
True
Does 26 divide 294?
False
Is 1636 a multiple of 122?
False
Is 25218 a multiple of 81?
False
Is 3772 a multiple of 49?
False
Is 27108 a multiple of 36?
True
Does 21 divide 1554?
True
Does 12 divide 1293?
False
Is 6 a factor of 223?
False
Is 12747 a multiple of 51?
False
Is 461 a multiple of 3?
False
Is 18 a factor of 918?
True
Does 84 divide 16808?
False
Is 9 a factor of 9718?
False
Is 15498 a multiple of 126?
True
Does 49 divide 1078?
True
Does 3 divide 631?
False
Does 92 divide 460?
True
Does 15 divide 6210?
True
Does 63 divide 1701?
True
Does 193 divide 12159?
True
Is 29522 a multiple of 53?
False
Is 2752 a multiple of 32?
True
Does 5 divide 277?
False
Is 14149 a multiple of 23?
False
Is 56 a factor of 3186?
False
Is 6696 a multiple of 93?
True
Is 583 a multiple of 53?
True
Is 5130 a multiple of 45?
True
Is 12 a factor of 780?
True
Does 123 divide 8940?
False
Is 10600 a multiple of 265?
True
Does 19 divide 16228?
False
Is 20 a factor of 260?
True
Is 3 a factor of 31156?
False
Does 28 divide 177612?
False
Is 3960 a multiple of 33?
True
Is 311 a multiple of 141?
False
Is 367 a factor of 53366?
False
Is 16 a factor of 11392?
True
Is 2585 a multiple of 70?
False
Is 179 a factor of 20227?
True
Is 38 a factor of 1498?
False
Is 12240 a multiple of 20?
True
Is 41478 a multiple of 124?
False
Is 1935 a multiple of 43?
True
Is 13200 a multiple of 49?
False
Does 16 divide 1808?
True
Is 147 a multiple of 9?
False
Is 82155 a multiple of 28?
False
Is 93060 a multiple of 33?
True
Is 8 a factor of 5633?
False
Is 630 a multiple of 30?
True
Does 6 divide 658?
False
Is 42 a factor of 19950?
True
Does 247 divide 6422?
True
Does 37 divide 252?
False
Is 111 a multiple of 26?
False
Is 21 a multiple of 3?
True
Does 16 divide 9374?
False
Is 56 a factor of 24808?
True
Is 348 a multiple of 13?
False
Is 16 a factor of 20672?
True
Does 144 divide 72720?
True
Is 82 a factor of 53874?
True
Is 20500 a multiple of 41?
True
Is 10 a factor of 34457?
False
Is 3150 a multiple of 9?
True
Is 8560 a multiple of 13?
False
Is 21954 a multiple of 37?
False
Is 3 a factor of 115?
False
Is 26466 a multiple of 25?
False
Does 100 divide 68626?
False
Does 4 divide 1064?
True
Is 50 a factor of 18800?
True
Is 30 a factor of 6546?
False
Is 361 a multiple of 19?
True
Is 5 a factor of 377?
False
Is 539 a multiple of 8?
False
Is 11 a factor of 11212?
False
Is 21400 a multiple of 67?
False
Is 41 a factor of 615?
True
Is 53740 a multiple of 8?
False
Is 4 a factor of 5351?
False
Is 1198 a multiple of 9?
False
Is 12043 a multiple of 14?
False
Does 7 divide 28081?
False
Is 92 a multiple of 26?
False
Is 1058 a multiple of 30?
False
Is 49 a factor of 6530?
False
Is 57 a factor of 1197?
True
Is 98116 a multiple of 38?
True
Does 22 divide 118?
False
Is 1242 a multiple of 23?
True
Does 9 divide 165?
False
Is 3 a factor of 3796?
False
Is 116 a multiple of 3?
False
Is 349 a multiple of 11?
False
Does 19 divide 1121?
True
Is 18 a factor of 1224?
True
Does 24 divide 20014?
False
Does 7 divide 919?
False
Is 31784 a multiple of 145?
False
Is 54372 a multiple of 276?
True
Is 2583 even?
False
Is 1283 a multiple of 21?
False
Does 206 divide 30537?
False
Does 14 divide 8834?
True
Does 46 divide 2346?
True
Is 4 a factor of 542?
False
Does 2 divide 12?
True
Does 10 divide 1070?
True
Is 3161 even?
False
Does 38 divide 2774?
True
Does 8 divide 56?
True
Does 94 divide 14326?
False
Does 177 divide 9912?
True
Is 35 a factor of 45566?
False
Is 71 a factor of 3274?
False
Is 180 a multiple of 17?
False
Is 1066 a multiple of 16?
False
Is 176 a multiple of 11?
True
Is 2561 a multiple of 36?
False
Is 165 a factor of 113092?
False
Is 13340 a multiple of 20?
True
Does 36 divide 3146?
False
Does 22 divide 132?
True
Is 208 a multiple of 16?
True
Is 93 a multiple of 4?
False
Is 23 a factor of 51681?
True
Is 123 a factor of 3198?
True
Is 3 a factor of 1191?
True
Is 1017 a multiple of 4?
False
Is 646 a multiple of 38?
True
Does 13 divide 507?
True
Is 931 a multiple of 19?
True
Is 20350 a multiple of 50?
True
Does 14 divide 56?
True
Does 31 divide 93186?
True
Does 8 divide 35424?
True
Is 837 a multiple of 9?
True
Does 26 divide 1976?
True
Does 157 divide 22608?
True
Is 1782 a multiple of 6?
True
Is 54 a factor of 1296?
True
Does 114 divide 5032?
False
Does 22 divide 4686?
True
Is 3632 a multiple of 16?
True
Is 60 a multiple of 14?
False
Does 210 divide 17105?
False
Is 4 a factor of 344?
True
Does 19 divide 19076?
True
Is 104 a multiple of 4?
True
Does 9 divide 6370?
False
Does 19 divide 58476?
False
Is 1102 a multiple of 57?
False
Is 684 a multiple of 19?
True
Is 102 a multiple of 6?
True
Is 2730 a multiple of 35?
True
Does 67 divide 7571?
True
Is 20 a factor of 1946?
False
Does 7 divide 448?
True
Is 182 a factor of 22386?
True
Does 476 divide 45696?
True
Is 1794 a multiple of 46?
True
Is 9 a factor of 4814?
False
Does 30 divide 57287?
False
Does 12 divide 4320?
True
Does 20 divide 427?
False
Does 118 divide 15509?
False
Is 8500 a multiple of 91?
False
Does 13 divide 1508?
True
Does 65 divide 1950?
True
Is 7 a factor of 1356?
False
Is 13 a factor of 143?
True
Is 35 a factor of 2555?
True
Is 11856 a multiple of 12?
True
Is 13 a factor of 203?
False
Does 53 divide 519?
False
Is 6132 a multiple of 28?
True
Is 17 a factor of 4195?
False
Does 42 divide 22202?
False
Is 1064 a multiple of 38?
True
Is 41860 a multiple of 70?
True
Is 11 a factor of 310?
False
Is 3 a factor of 288?
True
Is 13 a factor of 1326?
True
Does 12 divide 37642?
False
Is 14 a factor of 420?
True
Is 94 a factor of 5253?
False
Is 4 a factor of 37952?
True
Is 216 a multiple of 4?
True
Is 22 a factor of 3960?
True
Is 281 a multiple of 50?
False
Does 70 divide 761?
False
Is 15 a factor of 720?
True
Does 16 divide 335?
False
Is 10 a factor of 324?
False
Is 24 a factor of 1656?
True
Does 15 divide 2100?
True
Does 12 divide 629?
False
Is 6479 a multiple of 44?
False
Is 2413 a multiple of 4?
False
Does 79 divide 2138?
False
Is 7 a factor of 3563?
True
Does 8 divide 199?
False
Is 41944 a multiple of 154?
False
Is 10 a factor of 969?
False
Does 3 divide 330?
True
Is 2 a factor of 86?
True
Is 75 a multiple of 3?
True
Is 14 a factor of 1288?
True
Is 18 a factor of 360?
True
Is 4108 a multiple of 13?
True
Does 3 divide 2386?
False
Does 203 divide 13792?
False
Does 35 divide 1260?
True
Does 36 divide 805?
False
Is 4 a factor of 50?
False
Is 49 a factor of 1792?
False
Does 3 divide 175?
False
Does 13 divide 793?
True
Is 5710 a multiple of 7?
False
Is 2769 a multiple of 2?
False
Is 249 a multiple of 34?
False
Does 17 divide 544?
True
Does 7 divide 6272?
True
Is 10656 a multiple of 12?
True
Is 1065 a multiple of 55?
False
Is 12095 a multiple of 59?
True
Does 15 divide 14730?
True
Is 179 a multiple of 9?
False
Does 34 divide 3094?
True
Is 868 a multiple of 62?
True
Is 29 a factor of 116?
True
Is 7 a factor of 1287?
False
Does 10 divide 9659?
False
Does 189 divide 6382?
False
Does 72 divide 127728?
True
Is 593 a multiple of 93?
False
Is 858 a multiple of 33?
True
Is 13 a factor of 366?
False
Is 8 a factor of 72?
True
Is 2199 a multiple of 127?
False
Does 230 divide 38215?
False
Is 17 a factor of 7482?
False
Is 9 a factor of 54?
True
Is 2610 a multiple of 15?
True
Does 5 divide 191?
False
Is 5 a factor of 12268?
False
Does 9 divide 5470?
False
Does 82 divide 5002?
True
Is 1512 a multiple of 6?
True
Is 19 a factor of 3914?
True
Does 9 divide 3429?
True
Does 37 divide 934?
False
Does 14 divide 2212?
True
Is 270 a multiple of 34?
False
Is 56 a factor of 13496?
True
Does 6 divide 20673?
False
Is 17 a factor of 170?
True
Is 21 a factor of 1365?
True
Is 4445 a multiple of 7?
True
Is 62 a multiple of 17?
False
Does 2 divide 375?
False
Is 37 a factor of 16718?
False
Is 341 a multiple of 6?
False
Is 25 a factor of 52?
False
Is 11 a factor of 13439?
False
Is 3 a factor of 9441?
True
Is 38 a factor of 912?
True
Is 709 a multiple of 2?
False
Is 1419 a multiple of 28?
False
Does 12 divide 3192?
True
Is 20 a factor of 37? | {
"pile_set_name": "DM Mathematics"
} |
30*j + 9528*j + 9556*j - 28614*j - 33*j**3.
-33*j**3
Collect the terms in 19*v**2 + 231*v**3 + 253*v**3 - 485*v**3 - 10*v + 10*v + 2*v**2.
-v**3 + 21*v**2
Collect the terms in -729 - 2*n**3 - 32 - 346 + 7 + 53.
-2*n**3 - 1047
Collect the terms in 11*c**2 - 1 - 124 + 13*c**2 + 2*c - 8*c**2 - 31*c**2 + 12.
-15*c**2 + 2*c - 113
Collect the terms in -3 - 3 - 2363*j - 1 + 1203*j + 1188*j + 1.
28*j - 6
Collect the terms in -268*q - 260*q - 260*q - 265*q - 259*q - 238*q + 1548*q.
-2*q
Collect the terms in -483*d + 1370*d + 418*d.
1305*d
Collect the terms in -68*o + 33 + 124*o + 264*o - 36 + 81*o.
401*o - 3
Collect the terms in 220 + 61*i**2 - 46*i**2 - 4261 - 1935.
15*i**2 - 5976
Collect the terms in -1474*p - 1721*p + 290711 - 290711.
-3195*p
Collect the terms in 71*q**2 - 106 + 61*q**2 + 138 - 32.
132*q**2
Collect the terms in 81*r**3 + 107*r**3 - 19890 + 19890.
188*r**3
Collect the terms in 66582*s**3 + 13*s**2 - 28*s**2 + 2*s**2 + 13*s**2.
66582*s**3
Collect the terms in -7353*l**2 + 1618*l**2 + 1381*l**2 + 1634*l**2 + 1678*l**2 + 1421*l**2.
379*l**2
Collect the terms in -121068*v**3 - 100264*v**3 - 27109*v**3 + 72293*v**3.
-176148*v**3
Collect the terms in -4552*n**2 + 4573*n**2 + 2*n + n + 38254 - 38253 - 3*n.
21*n**2 + 1
Collect the terms in 199259*j**2 - 100151*j**2 - 99108*j**2 - 4*j**3.
-4*j**3
Collect the terms in 124247117 - 124247117 - 1137*n + 1137*n + 5*n**2.
5*n**2
Collect the terms in -12*d**2 + 6*d + 2001913 - 6*d - 13*d**2 - 2001913.
-25*d**2
Collect the terms in 6 + 27590*l**2 + 170805*l**2 - 5 + 0 + 2*l.
198395*l**2 + 2*l + 1
Collect the terms in -37914*p + 616*p**3 + 12656*p + 12629*p + 12629*p.
616*p**3
Collect the terms in 1404*i + 79*i - 36 + 57 - 19.
1483*i + 2
Collect the terms in w**2 + 1 - 3633*w - 3705*w - 1 + 7617*w.
w**2 + 279*w
Collect the terms in -3 + 68922*a + 345271*a + 5 - 2.
414193*a
Collect the terms in -6108450469 + x**3 + 6108450469 - 97*x.
x**3 - 97*x
Collect the terms in 110*p + 46513*p**2 - 58*p - 52*p.
46513*p**2
Collect the terms in -98*q**3 - 191*q**3 + 1056*q**3 - 193*q**3 - 175*q**3 - 198*q**3 - 199*q**3.
2*q**3
Collect the terms in -153209042 + l**3 + 153209042.
l**3
Collect the terms in 238*t**2 + 247*t**2 - 1002*t**2 + 245*t**2 + 250*t**2.
-22*t**2
Collect the terms in -20*o**2 + 115*o**2 - 206*o - 189*o + 584*o - 189*o.
95*o**2
Collect the terms in -63*u**2 - 44*u**2 + 7 + 6 - 13 - 60*u**2 + 152*u**2.
-15*u**2
Collect the terms in -4*m - 83446*m**3 + 3 + 6*m - 1.
-83446*m**3 + 2*m + 2
Collect the terms in -10354 + 110*j**2 - 10358 + 20712 + 33*j**2.
143*j**2
Collect the terms in 28637 + 394*q - 85892 + 28638 + 28616 + 142*q.
536*q - 1
Collect the terms in 97*h**3 - 81269*h + 162532*h - 81267*h.
97*h**3 - 4*h
Collect the terms in 6139*o**2 - 635*o**2 + 6396*o**2 - 553*o**2.
11347*o**2
Collect the terms in 2096 + 6326*c - 12322*c + 5996*c - 2096 - 23*c**2.
-23*c**2
Collect the terms in 18 - 37*l**2 + 72*l**2 - 13841*l - 36*l**2 + 13841*l + 31.
-l**2 + 49
Collect the terms in -17*g**3 + 5*g + 6*g**3 - 21*g + 1 + 11*g.
-11*g**3 - 5*g + 1
Collect the terms in 0*y + 334564*y**2 - 334405*y**2 + 0*y.
159*y**2
Collect the terms in 1418*s**3 - 3344*s**3 - 95*s**3 - 6222*s**3 - 439*s**3.
-8682*s**3
Collect the terms in 2*a - a + 13 + 0*a - 8*a + 0 + 6*a.
-a + 13
Collect the terms in -7*q**2 + 400144 - 10*q**2 + 400200 - 800344.
-17*q**2
Collect the terms in 559*a - 1510*a - 2*a**2 - 1009*a + 687*a**3.
687*a**3 - 2*a**2 - 1960*a
Collect the terms in -6639017*t + 1362268*t - 1064879*t.
-6341628*t
Collect the terms in -5263*w**3 - w - 1547*w**2 - 5226*w**3 + w + 1547*w**2 + 10485*w**3.
-4*w**3
Collect the terms in 3061*l + 3010*l - 6398*l.
-327*l
Collect the terms in -21274*c - 6683*c + 14*c**2 - 15*c**2 - 2152*c - 3051*c.
-c**2 - 33160*c
Collect the terms in 1492*x**2 + 691 - 350 - 341.
1492*x**2
Collect the terms in -45975*t**2 + 20757*t**2 + 22616*t**2 + 8*t - 8*t.
-2602*t**2
Collect the terms in -971785*y + 1210469*y + 1296542*y + 648178*y.
2183404*y
Collect the terms in -10*b**2 - 2216 + 3751 - 1535.
-10*b**2
Collect the terms in 11053086404 + 11053086419 - 22106172823 - 6*y.
-6*y
Collect the terms in 2166*c + 483*c - 11 - 179.
2649*c - 190
Collect the terms in 1216*d + 109*d + 802*d.
2127*d
Collect the terms in -631772*d**3 + 1263045*d**3 - 631748*d**3.
-475*d**3
Collect the terms in -23*h - 18*h - 170*h - 20*h + 255*h - 21*h.
3*h
Collect the terms in 3633*b**2 - 58*b - 3638*b**2 - 106*b - 3 + 43*b.
-5*b**2 - 121*b - 3
Collect the terms in -1 - g**2 + 26046*g - 13065*g - 13088*g - 10*g**2.
-11*g**2 - 107*g - 1
Collect the terms in -167 + 82 + 88 + 13*g**2 - 19*g**2.
-6*g**2 + 3
Collect the terms in -8174780*p + 4087241*p + 4087292*p.
-247*p
Collect the terms in 559*k - k**2 + 43*k + 131*k - 733*k.
-k**2
Collect the terms in 99314*q**3 - 48579*q**3 - 50802*q**3.
-67*q**3
Collect the terms in -8073*d + 16093*d - 8076*d.
-56*d
Collect the terms in -1313*q + 212*q - 3 - 227*q.
-1328*q - 3
Collect the terms in 869*a - 227*a - 226*a - 218*a - 217*a.
-19*a
Collect the terms in -24885*w**3 - 7500*w**3 - 3057*w**3.
-35442*w**3
Collect the terms in 0*d**3 - 3*d - 4*d + 47 + 4*d**2 + 3*d - 2*d**3.
-2*d**3 + 4*d**2 - 4*d + 47
Collect the terms in 37150*g**3 - 37036*g**3 + 14*g**2 - 11*g**2.
114*g**3 + 3*g**2
Collect the terms in -109*b**3 + 6*b**2 - 25*b**3 + 173*b**3 + 4*b**2 - 10*b**2.
39*b**3
Collect the terms in 32*a**2 + 10*a + 1920 - 15*a**3 - 10*a - 3837 + 1917.
-15*a**3 + 32*a**2
Collect the terms in 14*p**3 - 728 - 31*p**2 + 0*p + 8*p + 728.
14*p**3 - 31*p**2 + 8*p
Collect the terms in -74*r - 216 + 37*r + 73 + 38*r + 85 + 58.
r
Collect the terms in -2127474*n - 14 + 1063744*n + 1063728*n.
-2*n - 14
Collect the terms in -3*g + 6054 - 26316 - 5*g + 4*g.
-4*g - 20262
Collect the terms in 374102*b - 374102*b - 520*b**2.
-520*b**2
Collect the terms in 32925 + 32929 - 30269*d - 65854.
-30269*d
Collect the terms in 51*w - 52996 + 106012 - 53014.
51*w + 2
Collect the terms in 3969 - 1333 - 1310 - 1326 + 13*u - 10*u.
3*u
Collect the terms in 6558145*w - 3280817*w - 3277335*w.
-7*w
Collect the terms in 3427762*b + 3427703*b - 6855494*b.
-29*b
Collect the terms in -5701*x**2 + 1882*x**2 + 1889*x**2 + 1965*x**2 - 39.
35*x**2 - 39
Collect the terms in -2 - 186*o**3 - 4*o + 8*o + 22*o - 110*o**3.
-296*o**3 + 26*o - 2
Collect the terms in 1835501 + t**2 + 32*t**2 - 1835487.
33*t**2 + 14
Collect the terms in 365*o + 115*o + 127*o + 126*o - 967*o + 128*o + 121*o.
15*o
Collect the terms in -101515*q**3 - 12670*q**3 - 32047*q**3 - 36921*q**3.
-183153*q**3
Collect the terms in -875 + 219 + 221 + 214 + 221 - 96*q**3.
-96*q**3
Collect the terms in -1390*k - k**3 + 1286*k + 1926*k + 1341*k.
-k**3 + 3163*k
Collect the terms in -352964*k**2 - 385626*k**2 + 738591*k**2.
k**2
Collect the terms in -10*f + 54*f - 25*f - 17*f - 11604.
2*f - 11604
Collect the terms in 8*g - 8*g - 25842*g**2 - 85*g**3 - 87*g**3 + 169*g**3 + 25842*g**2.
-3*g**3
Collect the terms in -38*s**3 + 77*s**2 - 66*s**3 + 87*s**2 - 132*s**2.
-104*s**3 + 32*s**2
Collect the terms in 5 - 27 + 14 + 3 - 6423*t + 6.
-6423*t + 1
Collect the terms in -190*a**2 + 190*a**2 + a + 219253*a**3.
219253*a**3 + a
Collect the terms in -2048660*r**2 + 4096359*r**2 - 2047698*r**2.
r**2
Collect the terms in 688*p + 658*p - 4*p**3 - 1346*p + 234 + 5*p**3 - 234.
p**3
Collect the terms in 2812 + 19*o - 5671 + 2857.
19*o - 2
Collect the terms in -36033*x - 36039*x + 107904*x - 35850*x.
-18*x
Collect the terms in 277 - 940*q + 764*q - 138 - 139.
-176*q
Collect the terms in 920 + 665*h + 1996 - 2916 - 2001*h.
-1336*h
Collect the terms in 4 - 4 + 10623*g + 5717*g + 11265*g.
27605*g
Collect the terms in 1382*w**2 + 1389*w**2 + 3*w**3 - 4173*w**2 + 1391*w**2.
3*w**3 - 11*w**2
Collect the terms in -31972*q**3 + 15950*q**3 - 2 + 15961*q**3 - 2 + 4.
-61*q**3
Collect the terms in -2623 + 2050 + 4*d**2 - 4926.
4*d**2 - 5499
Collect the terms in -32*j**2 + 77650*j**3 + 61*j**2 - 29*j**2 - 16777*j**3.
60873*j**3
Collect the terms in -25*b + 28*b + 735 - 376 - 383.
3*b - 24
Collect the terms in 12*n + 2909 - 7*n - 5794 - 6*n + 2929.
-n + 44
Collect the terms in -18*r**3 + 47*r**3 - 21*r**3 + 398*r + 401*r - 1193*r + 394*r.
8*r**3
Collect the terms in 3184480*s + 1590413*s - 178751*s.
4596142*s
Co | {
"pile_set_name": "DM Mathematics"
} |
et n = -1 - -1.3. Let a = n + 0.7. What is the nearest to 1 in a, u, 0?
a
Let s be -1 + (3 + -4 - -3). What is the closest to 2/5 in 2/7, 16/5, s?
2/7
Let o = -4 - -4.4. Let m = 23 - 21. Suppose -4*p + 0*z - 2*z - 2 = 0, m*z + 16 = 3*p. Which is the nearest to p? (a) o (b) 0 (c) -4
a
Let f = -56 + 35. Let a = 20.5 + f. Let l be (22/(-22))/(-4 - 1). What is the nearest to -0.1 in l, 5, a?
l
Suppose -3*z + 104 = -7*z. Let i = z + 23. Suppose 5*r = r. Which is the closest to r? (a) 2 (b) 0 (c) i
b
Let g(m) = -m**3 - m**2 + m + 2. Let s be g(0). Suppose s = t + 1. Let x be (-11)/2*-1 + -6. What is the nearest to 1 in t, -0.4, x?
t
Let o be 1/(1 + -2) - 8. Let y = o + 29/3. Let f = 1.95615 + 0.04385. What is the nearest to y in 0.1, f, 0.4?
0.4
Let n = -287.8 - -288.8. What is the closest to n in -6, -0.1, -2/13?
-0.1
Let w be (0/1)/(3 + -4) + 104. Which is the nearest to -0.3? (a) 1/9 (b) -0.4 (c) w
b
Let j = 0.037 - 1.777. Let o = -1.7 - j. Let h = o - -1.96. Which is the nearest to -0.2? (a) 0.3 (b) h (c) -2/9
c
Let i(r) = r**2 - 4*r - 14. Let y be i(6). Which is the nearest to -3? (a) y (b) 5 (c) 1
a
Let d = -15.5 - -9.1. Let r = -5.9 - d. What is the nearest to 0 in 2, r, -8?
r
Let u = 38 + -40. Let q be (26/52)/(u/8). Which is the closest to -1? (a) q (b) -0.5 (c) 1
b
Let m = 3.7811 + 0.2189. Which is the closest to 0.1? (a) m (b) -3 (c) -1/4
c
Let a = 212.7 + -212.4. What is the closest to 0 in -4, a, 1/10?
1/10
Let u = -63 - -58.05. Let h = 0.05 - u. Let z = 375 + -374.9. What is the closest to h in 1, z, 2/3?
1
Let d = -79 + 81. What is the closest to -1 in d, 115, 4?
d
Let m be -5*15/(-350)*2. What is the closest to -2/3 in -0.2, 0.2, m?
-0.2
Let m = -3 + 3. Suppose -f + 4*z = 9, 2*f = -0*f - 2*z + 12. Suppose 2*o = 10, -o - 10 = f*n - 0*o. What is the closest to m in 1/3, 4, n?
1/3
Suppose -10 = 5*w + 5. Let v be 2 - 2 - (1 + w). Let f be 3/((-765)/(-60))*(-2)/(-4). Which is the closest to v? (a) 4 (b) -0.1 (c) f
c
Let z = -394 - -20884/53. Let v = -16.04 - -12.04. What is the nearest to z in 1/2, v, -2/9?
-2/9
Let y = -1765/3 + 588. Which is the closest to -1/3? (a) -3 (b) -0.2 (c) y (d) 3/2
c
Let p = -10 + 0. Let s = p + 9. Let i = -13 + 12. Which is the closest to i? (a) 3 (b) -1/2 (c) s
c
Let q = 1321 + -1323. Which is the nearest to -2? (a) q (b) -0.4 (c) 2/11 (d) 3
a
Let u(m) = -16*m + 63. Let p be u(4). Let f be 2/3*3/(-17). What is the nearest to 2/9 in f, p, 5?
f
Let v(o) = 8*o + 70. Let y be v(-9). Let w be y/(-9) - 258/(-54). Let p = 0 + 1. Which is the nearest to p? (a) w (b) 3 (c) 0
c
Let o = -198 + 194. What is the nearest to -3 in o, 7, 1/2?
o
Suppose -2 - 4 = -3*k. Suppose -w - 5 = -11. Let v be w/30 - 34/70. Which is the nearest to v? (a) k (b) -2/11 (c) -4
b
Let w = 2/65 - 69/130. Let t = 2.4 + -1.4. Which is the closest to t? (a) 0.3 (b) w (c) -3
a
Suppose -4*g - 3*d + 13 = 0, g + 0 = 5*d - 14. Let j = 6 - 5.6. Which is the nearest to g? (a) 2/45 (b) 0 (c) j
c
Suppose 66 = -16*f + 5*f. Which is the nearest to -0.08? (a) f (b) 2 (c) 1
c
Let j be (22/10)/(-1) - -4. Let x = j - 73/35. What is the closest to -1 in x, 3, 3/2?
x
Let f = 0.2 + 1.8. Let y be 1/3 - (-6)/(-18). Suppose -3*h + o + 4 + 6 = y, 0 = -5*h + 2*o + 16. Which is the nearest to f? (a) 1/2 (b) h (c) -1
a
Let r = -726 + 727. What is the closest to 1 in 1/2, r, -8/9?
r
Let h = -162 - -160. What is the nearest to h in 1, 0.5, -2?
-2
Let z = -102 - -110. What is the nearest to 0.1 in z, -2/19, -5?
-2/19
Let z = 104 + -103.7. Let k be (8/12)/((-26)/(-6)). Which is the closest to -2? (a) z (b) k (c) 2/11
b
Let b be (-970)/35 + 6/(-2). Let v = b + 31. What is the closest to 2 in 0.4, 0.5, v?
0.5
Suppose 4*w - 64 = 3*g - 5*g, -125 = -4*g - 5*w. Suppose 7*l - g = 2*l. Let n be (-3 - -7)*(-1)/l. What is the closest to 0.1 in n, 0.2, 4?
0.2
Let z = 1457/4 - 365. What is the nearest to 0 in -5/3, z, 0.3?
0.3
Let g = 0.117 + -0.09. Let i = g + 0.073. Let y = 2 - 3. Which is the closest to i? (a) 1/4 (b) 0.3 (c) y
a
Let n(p) = -p**3 + 4*p**2 + 20*p + 8. Let f be n(7). Let h = -10 + 11. Which is the closest to f? (a) 4/3 (b) h (c) 0.1
b
Suppose -2*y = y + 6. Let j = -157 + 1101/7. Let a = 532 - 1597/3. What is the nearest to j in a, y, 2?
a
Let w = 78 - 76. Let z be (-14)/(-12) - w/3. What is the nearest to -2/7 in z, 1, 3?
z
Let h = 4 - 5. What is the nearest to h in 2/7, -0.01, -0.2?
-0.2
Let v = 0.062 - -0.138. Let n = 0.2 - 0.1. Which is the nearest to v? (a) n (b) -0.2 (c) 4
a
Let d be 2 + -1 + 0 - (-5)/(-7). Let z = 13 + -24. Let q = z + 11. Which is the nearest to q? (a) 4 (b) -2/5 (c) d
c
Let n = 6.1 - -17.9. Let v = n + -14. Let y = v + -10.2. What is the closest to -0.1 in -0.5, y, 3?
y
Let w = 307/4 + -78. Let r be 12/3 + (-90)/21. Let d = -7.8 + 8. What is the closest to w in -4/5, d, r?
-4/5
Suppose 10 = c + 4*c. Let i be 1 + -3 - (-324)/153. Let a = -23/51 + i. What is the nearest to a in 5, c, 3?
c
Let r = 3.49 - 37.69. Let l = r - -34. Which is the closest to l? (a) 1 (b) -2 (c) -0.04
c
Let w be (-3)/(-6) - 3 - -3. Let p = -0.3 + -0.7. Let a be ((-68)/(-16) - 5)*72/(-243). What is the nearest to w in 2/13, a, p?
a
Let a = 1177 + -5887/5. What is the closest to 1/4 in -4, 3, -0.2, a?
-0.2
Let y = -10.774 + -0.226. Which is the nearest to -1? (a) y (b) 6 (c) 0.5
c
Let c = 109.846 - -0.154. Let z = c - 108. Let w be 18/(-4)*2/6. What is the nearest to 0.1 in w, 2/7, z?
2/7
Let k = 0.9 + -1. Let v = -0.129 + -1.871. Let u = -3 - -3.2. What is the nearest to k in u, v, 3?
u
Let b = -25 - -27. Let a = 5.7 + -4.7. What is the closest to -0.1 in 0.3, b, a?
0.3
Let f = -3 - -2. Let c = 114.2 - 114.1. What is the nearest to c in f, -5/4, 0.3?
0.3
Let s = -0.58 - -0.08. Let z = 0.16 + -1.56. What is the closest to -0.1 in z, -3, s?
s
Suppose 3*j + 2*t - 19 = 4*t, 3*j + 5*t = 5. Which is the closest to 1? (a) 0.4 (b) -0.3 (c) -6 (d) j
a
Let z be -4 + 7 + (48/(-9) - -2). What is the closest to z in 2/7, 4, -1?
2/7
Let t be (4/14)/(-7 + (-128)/(-14)). What is the nearest to 0 in t, 0.2, -0.5, 2/3?
t
Let w = 9.4 - 3.4. Let s = w - 5. Let z = -2 + s. What is the nearest to -1/6 in z, -1/4, 0.1?
-1/4
Let k = 16.7 - 17. Let h = 0.36 - -0.14. Let c = -3 + 1. What is the closest to 1/2 in c, h, k?
h
Let x(c) = -13*c**3 + c**2 + c. Let d be x(-1). Let p = 12 - d. Let b = -1.7 - -1.2. What is the closest to p in -4, -5, b?
b
Suppose -5*j - 8 = -3*f, -2*f + 2*j + 8 = -2*j. Let r = 542.9 - 518. Let p = r - 25. Which is the closest to p? (a) f (b) 1 (c) -2/5
c
Let z = 324 + -323.9. Which is the closest to z? (a) 3/5 (b) 4 (c) 1.5
a
Let t = -467/1659 - 1/237. Which is the closest to 1? (a) 0.3 (b) 5 (c) t
a
Let v = 521 + -521. Let g = -0.18 + 0.2. Let j = -0.28 - g. Which is the nearest to 0.1? (a) v (b) j (c) 1
a
Let o = -4.4 - -4.3. Which is the closest to -2? (a) -2/7 (b) -2 (c) o
b
Let o = -1.03 - -0.83. What is the closest to o in -5, 3/4, -2/3?
-2/3
Let z = 20 - 57. Let m = z - -37.6. Which is the closest to -2/3? (a) 0.2 (b) m (c) -0.5
c
Suppose -3 = 3*c, 0 = -z - 3*z - 5*c - 21. Let y = 49 - 53. Let o = y - z. What is the closest to o in 3, 4/5, -2/5?
-2/5
Let n = 4233 - 4240.132. Let y = -0.132 - n. What is the nearest to 1 in y, 0, -0.5?
0
Let t be (-27)/18*(-12)/(-63). Which is the closest to 0.4? (a) -0.3 (b) t (c) 0.3 (d) 2/5
d
Let k(x) = -x**2 - 32*x - 1. Let g be k(0). Which is the closest to 1? (a) 5/9 (b) g (c) -2/5 (d) 2
a
Let f = -361 + 361. Which is the nearest to -1/4? (a) f (b) 5 (c) -3/7 (d) 82
c
Let s be (392/9)/7 + -18 + 12. Which is the nearest to s? (a) 4 (b) 5 (c) -0.4 (d) -0.9
c
Let t = 12/61 + 87/488. What is the nearest to -2/5 in 0, t, 0.06?
0
Let l(j) = -j**3 + 3*j**2 + 4. Let x be l(3). Let h = 41/3 - 13. What is the nearest to h in -2, 2/7, x?
2/7
Let z = -105 - -104.7. What is the closest to 2/15 in 4, 0.2, z?
0.2
Let n = -57 + 20. Let w = n - -37.4. Which is the closest to -3? (a) 2/7 (b) 2/3 (c) w
a
Let z be (14/(-210))/(3/(-10)). Which is the closest to 1? (a) z (b) 4/5 (c) 5
b
Let l be 0 + 1 + (-5)/7. Let y = 0.05538 - -0.94462. Let s = -19/42 - 3/14. Which is the nearest to s? (a) y (b) l (c) -3
b
Let z = -130.1 - -1 | {
"pile_set_name": "DM Mathematics"
} |
ich is smaller: o or x?
x
Let a = 3 + -4. Let k be (2/4)/(a/(-4)). Suppose 0*h - 3*h = 0. Is h bigger than k?
False
Let w be 6/(-71) - (0/(-1))/(-2). Which is smaller: w or -1?
-1
Let x = 20 - 9. Suppose -2*q - 3*r + x = 0, -q + 5*r - 15 = -6*q. Which is smaller: -12/5 or q?
-12/5
Let w be 1/(-1 - 0)*-25. Suppose 5*j - w = -3*n - 6, 2*j = -2*n + 10. Let u be (-5)/3*j/5. Which is greater: u or -1?
u
Suppose 1 + 1 = j. Let b be -4 - (3 - 4 - j). Which is bigger: -1/8 or b?
-1/8
Let w = 248/1073 - 6/37. Which is smaller: 1 or w?
w
Let m(d) = -d - 4. Let c be m(-8). Let n = -5 - -8. Suppose 5*l - 5*s = -15, l - 3*s + 7 = -n*l. Which is greater: l or c?
c
Let w = -129/190 + 3/38. Is -2 != w?
True
Let s = 22 - 26. Let y be -1*((-20)/5 - s). Let t be ((-1)/(-8))/((-6)/8). Is t != y?
True
Let b = -29 + -40. Which is smaller: b or 0?
b
Suppose 2*g - 155 = -3*g. Suppose -4*t = 4*j - 3*t - g, 0 = 4*t + 20. Let q = j - 13. Is q <= -5?
False
Let c be 6/(-18) - 128/21. Let l = c + 159/28. Which is greater: 0 or l?
0
Let w(j) = -2 - 3 + 1 + j. Let p be w(4). Let d = 0.2 + 3.8. Are p and d equal?
False
Let u be (-99)/(-130) + 8/(-10). Is u != 1?
True
Let m = -0.5 - -1.5. Let b = m - -1. Which is bigger: 0 or b?
b
Let t = 113 - 141. Is t greater than or equal to -28?
True
Let o(p) = p**2 - 6*p - 8. Let d be o(7). Which is smaller: d or 0?
d
Let g = 1.6 - 0.8. Let k = 0.5 - g. Let r = k - -0.4. Does r = 0.2?
False
Let o be (-4)/10 + 368/20. Suppose 7 + 5 = -3*d + k, 3*d - 3*k = -o. Let i be -1 + d/6*-2. Which is greater: i or -2/3?
i
Let r be -1*(-1)/1 - 1. Is -1/54 bigger than r?
False
Let o be 6/8 - (-22878)/(-840). Let g = -131/5 - o. Suppose 3*f - 4 = 2*f. Which is greater: g or f?
f
Suppose o + o - m = -63, 0 = 3*o + 5*m + 62. Is o != -30?
True
Let c = 6/655 + -3363/152615. Let g = c - 905/2097. Is g bigger than -1?
True
Let x = -3 + 5. Let m = 1 - x. Do m and -3/7 have the same value?
False
Suppose -5*g = 103 - 18. Let m = g - -18. Which is smaller: m or -2/11?
-2/11
Let u = 13 + 3. Let c = 15 - u. Which is greater: 3 or c?
3
Let c(s) = s**2 + 2*s - 2. Let r be c(2). Let g = 7 - r. Are g and -1 non-equal?
True
Let s(w) = -9 + 12*w + 14 + 2*w**2 + 10 - 3*w**2. Let n be s(13). Which is bigger: n or 1?
n
Let m(d) = 3*d - 3. Let f be m(-7). Let h be (-2)/f*(-4 - -6). Is h bigger than 2/7?
False
Let x = -9 + 4. Let z = -5.3 - x. Is 3/5 at least z?
True
Suppose 0 = 4*f + 4*a - 20, 0*a - a + 3 = 0. Let q be 7/4 + f/8. Suppose j + 14 = 8*j. Is j bigger than q?
False
Let p(a) = -a**3 - 2*a**2 + 3. Let k be p(0). Which is smaller: -1/6 or k?
-1/6
Suppose -2*a - 4*x = 4, 0*a + 5*a + 10 = 4*x. Which is smaller: -10 or a?
-10
Suppose n + 19 = 3*c + 6, -3*c = -4*n - 52. Suppose 0 = -2*u - 21 + 9. Let o = n - u. Which is greater: o or -6?
-6
Let y(p) = p - 8. Let x be y(8). Which is greater: x or 2/17?
2/17
Let s be (-8)/((7/42)/((-1)/(-2))). Is s greater than -22?
False
Let t be 42/(-104) - 3/(-12). Let x be (-6)/40 - 9/90. Which is greater: t or x?
t
Let d be (-6)/(-4)*(-24)/18. Let q = 2 + d. Is 0 smaller than q?
False
Let n = 0.029 + 0.971. Let w = -3/41 + 91/123. Is n at most as big as w?
False
Suppose -36 = -5*b - 5*t - 11, -2*t = 8. Is 8 less than or equal to b?
True
Let k = -57 + 58. Which is smaller: k or -1/12?
-1/12
Suppose c + 1 = 9. Suppose -c*s + 4*s + 4 = 0. Which is bigger: 4/15 or s?
s
Suppose 2*d = -2*d + 20. Suppose 2*g - 24 = d*g. Do g and -8 have the same value?
True
Let s = -1666 - -919. Let q = s - -491. Let z = q - -2814/11. Are z and 0 nonequal?
True
Suppose -3*n + 3*f + 6 = 0, 0*f + 5*f - 5 = 0. Is n smaller than 11/4?
False
Let b = -32.8 + 33. Is b >= -0.1?
True
Let z = 4 - 7. Which is smaller: z or -2?
z
Let r(p) = p**2 - 4*p. Let o be r(5). Suppose -o*d = -2*d + 45. Let w be (-2)/3 - (-20)/d. Is -2 at most as big as w?
True
Suppose -3*w = -o + 4*o - 12, -5*o + 24 = w. Let i be 0 + 1 + w*2. Which is greater: i or -1/2?
-1/2
Let p = -2/653 + 60082/1959. Let k = -31 + p. Let x(f) = -f + 1. Let n be x(0). Do k and n have the same value?
False
Suppose -5*q = -4*g + 21, 5*g - 4*q - 22 = -2*q. Suppose g*v + v = 0. Is 0 less than v?
False
Let g be -1 + 86/32 + 0 + -2. Are 0 and g nonequal?
True
Let h = 3 + -2.7. Let s be (26/39)/(14/(-6)). Which is greater: h or s?
h
Suppose 0 = 4*b + 4*t, -5 = -5*b + t + 13. Suppose -b*v - 4 = -5*v. Which is greater: 3/5 or v?
v
Let s be 2/(-6) - 2/(-6). Let j = s + 4. Suppose w = j*w. Which is greater: w or -2?
w
Let y = 747/1157 + 11/89. Is 1 at most as big as y?
False
Let p be 16 - (2/4 + (-2)/(-4)). Is 15 smaller than p?
False
Suppose 57 = 5*j - 2*j. Is 20 at least j?
True
Let u = 15 + -10. Let j = -1 + u. Which is bigger: 0.1 or j?
j
Let g = -4 - -15. Is 11 != g?
False
Let z be 17*(-2)/6 - -1. Is z <= -6?
False
Suppose 3*w - 2 = 7. Suppose o + 7 = 4*c - 17, -33 = -w*c - 3*o. Is c at most 7?
True
Let s = -2/59 + -96/649. Which is bigger: s or 0.12?
0.12
Let q be 126/15 - (13/(-5) - -3). Is q at least -3?
True
Let v = 3/32 - -81/160. Suppose 3 = 3*w - 0. Let j be (-2 + 1)/(-2 + w). Which is smaller: v or j?
v
Let h be 2*((-7)/(-2) + -3). Let i be h/(-6) - 32/24. Is i at least as big as 0.2?
False
Suppose -j - 7 = 5*n, 2*n = -0*j + 2*j + 2. Let x(g) = -5*g**3 - g**2. Let a be x(n). Suppose a = -4*h - 0*h. Is h at most as big as -2/9?
True
Let s(m) = -2*m + 28. Let q be s(13). Is -5 not equal to q?
True
Let b = 8022/17 - 472. Is -2 > b?
False
Let r(y) = 55*y**3 + y**2. Let z be r(1). Suppose 7*a = 3*a - z. Let v be 1 - (2 - (-10)/a). Is v not equal to 1?
True
Let o = 0.07 - 0.08. Let a = -4.4 + 4.11. Let n = a + o. Which is smaller: 0 or n?
n
Let o be (0 + 1)*6/(-3). Suppose -1 + 5 = 2*w. Is o not equal to w?
True
Let r = 10 - 9. Let h = r + -2. Are -3 and h nonequal?
True
Let u(w) = -w - 1. Suppose -5*s = b - 19, 0 = 3*s - 0*s - 5*b + 11. Let a be u(s). Which is greater: -3 or a?
-3
Let q be 0 - ((-4)/6)/((-114)/(-18)). Do -1 and q have different values?
True
Let v = -34 - 6. Is v greater than -39?
False
Let z be 305/10 + 1/(-2). Suppose -10 = -s - z. Let m be -4*2/s*-1. Does 0 = m?
False
Let m = 66.9 + -67. Is m < -54?
False
Let x(y) = y**3 + 3*y**2 - y + 2. Suppose b + 12 = -3*b. Let v be x(b). Which is bigger: v or 6?
6
Let v = 1210043506/615 + -1967550. Let o = v + -2/123. Which is smaller: -1 or o?
-1
Let k be ((-5)/(-20) - 2) + (-3)/(-4). Which is bigger: k or 1/8?
1/8
Suppose 3*z - 8*z = 10. Let p(o) = o**2 + 4*o + 3. Let i be p(z). Which is smaller: i or -1/13?
i
Let o = -167/4 - -42. Which is greater: 5 or o?
5
Let b(t) = t**3 + 14*t**2 + 12*t + 14. Let c be b(-13). Is c not equal to 0.1?
True
Let h = 1 - -1. Let v be 1/h*18 - 2. Do 6 and v have the same value?
False
Suppose 0 = 27*h - 21*h - 102. Which is greater: 15 or h?
h
Let f(k) = -3*k**2 + k. Suppose -3*z - 5*b = 3, -5*z = -5*b + 5 - 0. Let o be f(z). Let j = -2 - o. Is 3 > j?
True
Let k(w) = w**2 - w - 16. Let h be k(0). Let a be 23/4 + (-4)/h. Suppose -a*p - 6 = -4*p. Is -3 > p?
False
Let x = -63 + 61. Is x bigger than -2/7?
False
Let f(h) = -h**3 - 8*h**2 + 2*h + 9. Let s be f(-8). Do -1 and s have the same value?
False
Let f = -18 + 13. Are f and -6 equal?
False
Let n(b) = -b**2 - 9*b - 8. Let g be n(-6). Suppose -g = -5*v, 2*v - v = 3*a + 2. Is a smaller than -2?
False
Let h = -9 - -14. Suppose 4*l = 3*p, -h*p = -l - 0*l. Is 0 less than p?
False
Suppose 4*x - 4*k = -12, 0 = 2*x + k - 2*k + 5. Let i = 2 - x. Let g = -7 - -10. Is i at most as big as g?
False
Let j = -53 + 57. Let m = -3 - -8. Which is greater: j or m?
m
Let x = 93.06 + -92. Let d = x - 0.06. Let g = 8 - 7.7. Which is smaller: g or d?
g
Let r be -1 + 1 + 4/16. Let a(z) = -z**2 + 7*z + 2. Let c be a(5). Let o be 4/c - (-4)/6. Which is smaller: o or r?
r
Let m(d) = -d**2 - 5*d - 3. Let a be m(-4). Let v be 12/(-40)*(-6)/a. Which is greater: 2 or v?
2
Let w = -374 - -2628/7. Is 1 <= w?
True
Let n(j) = -j. Let y be n(-2). Which is smaller: y or 2/13?
2/13
Let x be (-37)/(-12) + (-7)/21. Are x and 2 nonequal?
True
Let a be 33/(-148) + 6/(-192)*-8. Which is greater: 1 or a?
1
Suppose 3*r + 0*n = 2*n - 50, -3*r - 3*n - 30 = 0. Which is greater: r or -12?
-12
Let i(z) = z**3 - 4*z**2 + 2*z - 1. Let k be i(3). Let t = k - -4. Suppose -2*q - 3*o = 2*o + 22, -q + 11 = -3*o. Is q not e | {
"pile_set_name": "DM Mathematics"
} |
- 0. Let p(s) = 2*s - 2 - 14 + a. Let o be p(10). Solve -5*m - 3*b = -0*b - 2, 3*m - 2*b = o for m.
1
Let x(t) = t. Let y be x(3). Let k = 79 + -81. Let i be (k*6/18)/(2/(-6)). Solve -y*o = i*o - 10, -4 = 5*m + 3*o for m.
-2
Let x be 2/(-9) - 456/(-108). Let f = -2 + x. Let b = 86 - 81. Solve 3*i = f*q, 5*i + 22 + 3 = -b*q for q.
-3
Let m = 788 - 786. Solve s = -m*d - 7, 0 = -10*s + 7*s + d - 7 for s.
-3
Let a = -61 + 19. Let f be (-6)/(-4)*(a/18 + 5). Solve 0 = -3*l + 4*d - 7 - 2, -4*l + f*d - 8 = 0 for l.
1
Let n be 4 + 11/(-3) + (-1)/3. Solve 2*a = -n*a + 4*v + 26, -4*v - 20 = 0 for a.
3
Let g(o) = o**2 + 23*o + 107. Let n be g(-6). Solve 5 = -5*i - 5*q, i + 2*q - 4 = n*i for i.
-1
Let o = 16 + -10. Let y be 277/o - 2/12. Suppose -5*n + 92 = 4*x - n, 2*x - y = -5*n. Solve -2*u + 5*g - x = 0, 3*g - 17 - 4 = 3*u for u.
-4
Suppose 0*h + 15 = 5*o + 5*h, 3*h = 5*o - 7. Suppose -4*i = -o*s + 22, s + 3*i + 10 = -2*i. Solve 0 = -4*v - s*l + 11, 3*l - 9 = -4*v - 4 for v.
-1
Suppose -56*i - 3 = -227. Solve -2*w = i*q, 4*q - 6 + 2 = -4*w for q.
-1
Let c = -40 - -43. Solve 4*s + 8 = 4*d - 0*d, c*s - 4*d = -5 for s.
-3
Let k(m) be the first derivative of -m**3/3 - 2*m**2 + 7*m + 3. Let q be k(-5). Let l be (2/(-4))/(2/(-4)). Solve 3*x + y = 20, -q*y = -3*x - l + 6 for x.
5
Let x be 328/28 - 8 - 4/(-14). Solve 0 = 2*i - j + 3*j - 20, -x*j = -20 for i.
5
Suppose 38 + 17 = 5*g. Suppose 0 = -x - m + g, 2*x + 5*m = -2*x + 48. Suppose c - 3 - 2 = 0. Solve -x*k = 2*z - 2*k + c, 5*z + 24 = -k for z.
-5
Suppose 0*z - 4*z + 380 = 0. Let a be (-6 + 3)*z/(-15). Solve -3*h = 2*k - 13, -5*k = -3*k + 5*h - a for k.
2
Let v be 4*(-1)/8*-4. Suppose -c - v*c + 5*q = -2, c - 14 = -5*q. Let j(b) = -b + 11. Let w be j(c). Solve w + 11 = -5*i + g, 2*g + 4 = 0 for i.
-4
Let o = 1819 - 1788. Solve 4*q + 56 = 5*b + 16, 4*b = 3*q + o for b.
4
Let c(a) = -a**3 - 12*a**2 + 38*a + 144. Let g be c(-14). Solve 3*d - 11 = 5*p - 4, -21 = -5*p - g*d for p.
1
Suppose 2*c = -2*z - 1 + 11, -2*c = 4*z - 18. Solve 20 = -5*i, -z*i - 1 = 5*n - 2*n for n.
5
Suppose 0 = -6*u + 4*u. Suppose -3*o - 7 + 22 = 0, 4*y + o - 25 = u. Solve 2*v - x = -10, -x - x - 25 = y*v for v.
-5
Let l be ((-38)/6 - -5)*(-6)/4. Solve -l*r + 7*r + 7 = 3*s, -3*s - 11 = 4*r for s.
-1
Let h(k) = k - 28. Let f(s) = -28. Let a(v) = 3*f(v) - 4*h(v). Let n be a(6). Solve -5*t + 9*c - 15 = n*c, -t - 9 = 2*c for t.
-5
Let b(u) = -28*u**2 + 2*u - 2. Let c be b(2). Let s = c + 114. Solve 11 = -n - 2*h, 4*n - 2 + 34 = -s*h for n.
-5
Suppose -4*k - 14*y + 16*y = -152, 4*y = -4*k + 128. Solve 4*o = -3*g - 21, -5*o + 15 = 2*g + k for g.
-3
Suppose 254 = 45*x - 286. Solve -5*f - 3*m + x = 0, 4*f - m = f - 4 for f.
0
Let b(s) = s**3 - 11*s**2 + 13*s - 14. Let d be b(10). Let m = d + -11. Solve 4*l = 3*o - 2*o + 3, -4*o - m*l = -30 for o.
5
Suppose -10*k = -7*k + 27. Let b = k + 21. Solve -2*d = 5*g + 26, 0 = -d - 3*d - b for g.
-4
Let x(j) = -5*j - 14. Let p be x(-3). Solve -p = -5*f + 3*y + y, 0 = -4*f - 5*y - 32 for f.
-3
Suppose -3*x = -x - f + 1, 3*f - 3 = 0. Suppose 2*z = -x*z. Solve z = 4*g + 6 - 2, -2*g + 2 = -2*j for j.
-2
Let x(f) be the third derivative of f**5/60 - f**4/24 - 2*f**2. Let o be x(2). Let p be -3 + o + (-24)/(-8). Solve -r = -2*a + 7, -p*a + r - 2*r = -5 for a.
3
Let j = -255 + 261. Solve -9 = -3*c + j, -3*h - 4*c + 17 = 0 for h.
-1
Let s be 3 - (910/(-49) - (-6)/(-14)). Solve 2*a + s = -4*p, -p - 5*a - 38 = -10 for p.
-3
Let d(c) = 3*c - 21. Let t be d(7). Suppose t = 4*o - y + 4, 4*o + 3*y = 10 + 2. Solve 4*r + 12 = o, -2*v + 5*v - r = 0 for v.
-1
Let c = 14 + -1. Suppose -d - 2*i = -c, 2*d - 13 = -2*i + 5. Solve -3*q + 8 = -d*q, -w + 4*q + 17 = 0 for w.
1
Suppose l - 3 + 6 = 0, 88 = 4*y + 4*l. Solve 2*u - 2*j - 10 = 2*j, -5*u + y = -3*j for u.
5
Suppose -4*d + 20*d - 112 = 0. Solve -l + 4*x = -d, 5*l + 7 - 4 = x for l.
-1
Let q(v) = v**3 - 4*v**2 - 4*v - 1. Let u = -9 + 14. Let d be q(u). Suppose -6*m = -d*m - 10. Solve k + 17 = -0*g + m*g, 0 = 2*g + 2*k - 2 for g.
3
Let v(u) = u**3 - u**2 - 3*u + 6. Let c be v(-2). Solve 3*x + 25 = -2*o, c = -2*x - 1 - 9 for o.
-5
Suppose -3*z + 90 = 3*b, -4*z + 8*z = -3*b + 118. Let c(f) = f + 15. Let j be c(-11). Let v = z - j. Solve -2*g = -4*o + v, 0 = 2*g - 4*o + o + 20 for g.
-4
Let c = 6 - 2. Let i be (4/(-16))/(c/(-48)). Suppose 0 = -4*v - 5*j + 26 + 8, i*v - 2*j - 14 = 0. Solve m = -b + 2, -b = -4*b + v for m.
0
Suppose -2*s = 3*s - 3*s. Let d be ((-1)/2 + s)*(-48 - -42). Solve 0 = 5*t + 5*m + 10, -d*t - 2*m + 0 = 2 for t.
2
Suppose -4*y + 0*y - 2 = 5*j, 5*j - 3*y = 19. Solve -22 = -4*t - j*z, 3*t + 6*z = 10*z for t.
4
Suppose 5 - 29 = -4*a. Suppose -2*f + 16 = -7*f - 3*i, f - 10 = -5*i. Let z = -2 - f. Solve -3*v - 3*d + z = -a*v, 3*v = -4*d - 10 for v.
-2
Suppose 4*a + 3*k - 58 - 57 = 0, 3*a - 3*k - 60 = 0. Suppose -a*c = -29*c. Solve 4*o - 4*q - 16 = -0*q, o + 2*q + 2 = c for o.
2
Suppose 3*h + 53 - 20 = -5*w, -70 = 4*h - 2*w. Let v = 21 + h. Solve 5*g + 2*f = 3*g + 2, -4*f = v*g - 6 for g.
2
Suppose -2*y + 32 = 6*y. Suppose 5*h = -g + y*g + 10, 3*h = 3*g. Solve 0*m + 5*m = -g*i, 5*m = 2*i - 28 for m.
-4
Let i(u) = -4*u - 9 - 3 + 4*u**2 - 3*u**2. Let l be i(6). Solve 2*s = 0, 4*y = -l*s + 4*s - 16 for y.
-4
Let z = -25 + 37. Suppose -5*l + 3*j = -z, -2*l - j + 5 + 2 = 0. Suppose -2*v = l*q, -v + 4 = 4*q + 9. Solve -f - 3*d - v = -2*d, -f - 11 = 5*d for f.
-1
Let o(l) = -2*l - 7. Let u be o(-9). Let j = u - 7. Solve 4*a = 16, -4*z + z + j*a - 10 = 0 for z.
2
Let a(s) = -2*s**2 - 3*s + 2. Let b be a(0). Suppose 0 = 4*x + o - 69, o - 7 = -b*x + 6*o. Solve 2*y + 25 - 5 = 3*g, x = -4*y for g.
4
Let a be (-960)/(-280) - 3/7. Solve -3*f - 2*z + 0 + 2 = 0, 0 = -a*z - 15 for f.
4
Suppose 149*h = -238*h + 9675. Let l = 8 + -5. Solve 0 = -l*r + 2*q + 3*q + 37, -h = 5*q for r.
4
Let z = 9 - -10. Let i = z - 16. Suppose -3*o + 5*u = o - 27, -4*o + 4*u + 24 = 0. Solve 2*p = -i + 7, 2*p - 7 = -o*c for c.
1
Suppose -5*l + 516 = -94. Suppose l = 32*u - 70. Let v be (-4)/(-10) - 36/(-10). Solve -h + 4*h = v*w - 3, -u = -3*w + h for w.
3
Let c = -36 - -50. Let a be 88/c - (-4)/(-14). Suppose -13 + a = -z. Solve -4*l + 16 = 4*x, 3*x - z = -4*l + 2*x for l.
1
Let y(c) = c**3 - 9*c**2 + 4. Let p be y(9). Solve -15 = 3*w, -w + p*w = -n - 11 for n.
4
Let w be (-18)/(4 - 7) + -2. Let j be (-3)/(-4) + (-372)/(-16). Suppose j = 5*d + w*v, -5*d - 2*v + 35 = 13. Solve 2*b = -d*u - 2, 0 = 5*b - 5*u - 6 - 34 for b.
5
Suppose 0 = 3*c + 2*r - 13, -c - r - 75 = -80. Solve -c*y - 3*t = -2 + 14, -2*y - 2 = -t for y.
-2
Suppose -332*u + 331*u = -167. Let q = u + -165. Solve v - q = -4*i - 0*i, 0 = 5*v + i + 9 for v.
-2
Let z be (-30)/(-120) + 19/4. Solve 0 = 5*t - 2*w + 22, -2*t + z*w - 19 = -6 for t.
-4
Let y(c) = -3*c**3 - c**2 - 3*c - 3. Let h be y(-1). Solve -h*n + 4 = -2*k, -3*n - n = -5*k - 6 for n.
4
Suppose -12 + 2 = -5*n. Suppose 5*r - 2*b - 50 = 0, 2*r - 3*b + 0*b - 31 = 0. Suppose 24 = 2*g + g. Solve i + 2*i + g = 2*m, -i = n*m - r for i.
0
Suppose 3*f - 11 = -5. Suppose 12 = 5*z - 2*q, f*z - 5*q = 4 - 16. Solve -z = -0*k + 4*k, 3*k + 7 = -j for j.
-4
Let j = -9 + 69. Suppose -84 - j = -9*r. Solve 4*p - r = 4*o, o - 2*p = 3*o - 4 for o.
-1
Let d = -2807 + 2811. Solve -8 = 4*w - d*j, 6 = -3*w - 2*j - 0 for w.
-2
Suppose 3*t + 2*n = -0*n + 5, -2*t = -n - 15. Suppose -4*q - 13 - 5 = z, 30 = -t*q - 5*z. Let o = q + 16. Solve -2*x - 2*m = 12, 0*m - 2*m + o = -4*x for x.
-4
Let z be (0/(-2))/(-5) + 113/1. Let g = z + -108. Solve g*m + 0*h = -h - 21, 2*m = 5*h - 3 for m.
-4
Suppose 0*q + 4*q - 28 = -2*v, -5*q + 2*v + 17 = 0. Let n be 3*(q + (-16)/6). Let a be (1/2)/((-1)/(-8)). Solve -a*k + n = -3*k - 3*c, 3*k - c - 13 = 0 for k.
4
Suppose -3*j - l = -12, -5*j + 12*l + 20 = 7*l. Solve 5*k = -2*i + i - 5, j*i = -k + 18 for i.
5
Suppose 11 = -i - 5*g, 0*i - 13 = 2*i + g. Let l(h) = -2*h - 8. Let t be l(i). Suppose -3 = -t*f + 17. Solve 2*b = d + b - f, 5*b = 4*d - 24 for d.
1
Let r = 9 + -1. Let w be r/(-10)*165/2. Let b be -10*(4 - w/(-15)). Solve -7*j + 12 = -b*d - 2*j, 0 = -j + 4 for d.
2
Suppose 2*w = -3*x - 5 - 4, 4*w - 5*x - 37 = 0. Solve w*j - 2*k = -0*k - 6, 4*j - 3*k + 9 = 0 for j.
0
Suppose 4*s + 39 = 5*v + 137, 5*v = 5*s - 120. Let r be ((-6)/(-4))/(11/s). Let q = r - -1. Solve -q | {
"pile_set_name": "DM Mathematics"
} |
r. Suppose 0 = -5*i + 2*i + 39. Calculate i*k(m) + 6*h(m).
-m + 1
Let c(t) = 2*t + 1. Let m(z) = 6*z + 3. Determine 17*c(u) - 6*m(u).
-2*u - 1
Let w = 2 + -7. Let d(g) = g - 7. Let i(p) be the second derivative of p**3/6 - 4*p**2 + 18*p. Determine w*i(m) + 6*d(m).
m - 2
Suppose -3*i = -f - 13, -5*f + 0*f = i + 17. Let j(v) = 6*v**2 + 2*v + 3. Let s(w) be the second derivative of -w**4/12 - w**2/2 + 89*w. What is f*s(t) - j(t)?
-2*t**2 - 2*t + 1
Let p(s) = 7*s**2 - 5*s - 6. Let z(l) = -l + 1 - l**2 - 4*l + 2*l + 4*l. Calculate -p(u) - 6*z(u).
-u**2 - u
Let a be (-2 + 1)*10/2. Let f(b) = -4*b + 2. Let y(r) = 3*r - 2. Calculate a*f(i) - 6*y(i).
2*i + 2
Let k = -141 - -137. Suppose 5*m - 8 = 3*m - 2*x, -23 = 3*m - 4*x. Let v(r) = -r + 1. Let p(j) = 2*j - 3. What is k*v(d) + m*p(d)?
2*d - 1
Suppose -2*c + c = 5, 4*c - 10 = -5*d. Let w(b) = 3*b + 2*b + 18 + 2*b - 9. Let r be 11 + 2/1 + -2. Let y(p) = -4*p - 5. Determine d*w(z) + r*y(z).
-2*z - 1
Let c(d) = -7*d**3 + 5*d**2 + 8*d + 5. Let g(k) = k**3 - k**2 - k - 1. What is -c(f) - 5*g(f)?
2*f**3 - 3*f
Let d(b) = 3*b**2 - 5*b + 7. Let n(o) = -3*o**2 + 2*o + 7. Let i(t) = -t**2 + t + 1. Let m(z) = -4*i(z) + n(z). Calculate 2*d(y) - 5*m(y).
y**2 - 1
Let q(s) = 6*s - 6. Let d(k) = 121*k - 121. Let z(b) = -8*b + 8. Let g(t) = 3*d(t) + 44*z(t). Calculate -4*g(f) + 7*q(f).
-2*f + 2
Let x(p) = -5*p**3 - 2*p**2 - 3. Let w(s) = -26*s**3 - 11*s**2 - 14. Determine 2*w(z) - 11*x(z).
3*z**3 + 5
Let f(g) = 2*g + 2. Let y(t) = -4*t - 3. Let b be ((-5)/10)/(2/28). What is b*f(o) - 4*y(o)?
2*o - 2
Let g(m) = -7*m**3 + 4*m**2 + 4*m - 2. Suppose n = -2*n + 15. Let z(x) = 8*x**3 - 5*x**2 - 5*x + 3. Calculate n*g(h) + 4*z(h).
-3*h**3 + 2
Let f(w) = -5*w**3 - 6*w**2 - 5*w - 5. Let k = 7 - 5. Suppose -2*j + 4 = k*j. Let g(v) = -v**3 - v**2 - v - 1. Determine j*f(h) - 6*g(h).
h**3 + h + 1
Let l(g) = g**3 + 3*g. Let c = 25 + -14. Let t = c - 8. Let w(h) = -h**3 - h. Give t*w(v) + l(v).
-2*v**3
Let i = 12 - 6. Let b be -2*(-1 + i/(-4)). Let j(u) = -12*u + 21. Let s(p) = -4*p + 7. Let z(a) = 3*j(a) - 8*s(a). Let f(w) = w - 1. Give b*f(q) + z(q).
q + 2
Let u(q) = 4*q**2 + 4*q - 1. Let t(k) = 9*k**2 + 9*k - 2. What is 6*t(j) - 13*u(j)?
2*j**2 + 2*j + 1
Let o(b) = -11. Let t(x) = x + 22. Let n(y) = -5*o(y) - 2*t(y). Let v = 8 - 23. Let w = 21 + v. Let q(i) = -i + 6. Calculate w*n(d) - 11*q(d).
-d
Let z(y) = 2*y**2 + 22*y - 42. Let m(k) = -k**2 - 9*k + 17. Determine -12*m(t) - 5*z(t).
2*t**2 - 2*t + 6
Let q(y) = -7*y**3 - 3*y**2 + 2*y + 2. Let c(i) = i**3 - i**2 + i - 1. Determine -3*c(o) + q(o).
-10*o**3 - o + 5
Let h(z) = z**3 + z. Let t(f) = -f**2 + 10*f. Let g be t(9). Let u(a) = 4*a**3 + 4*a - 1. Determine g*h(m) - 2*u(m).
m**3 + m + 2
Let y(o) = -11*o**3 - 13*o**2 - 13*o + 7. Let s(c) = 5*c**3 + 6*c**2 + 6*c - 4. Calculate -13*s(b) - 6*y(b).
b**3 + 10
Let j(v) = -v**3 + 3*v**2 + 8*v + 6. Let n be j(5). Let z(t) = -t**3 + t**2 - t - 1. Let f(p) = -10*p**3 + 9*p**2 - 9*p - 9. What is n*f(y) + 36*z(y)?
4*y**3
Suppose 2*o - 4*m = 7*o - 15, -2*o = -3*m + 17. Let i(y) = -y + 1. Let l(q) = -4*q + 2. Suppose 0*w - 4*w + 20 = 0. What is o*l(g) + w*i(g)?
-g + 3
Let z(n) = -n. Let l be ((-99)/66)/(3/4). Let t(d) = d**2 + 5*d - 2. What is l*z(s) - t(s)?
-s**2 - 3*s + 2
Let x(p) = 11*p**3 - 9*p**2 - 9*p. Let a be 1 + 0 - (0 + -3). Let t(f) = -5*f**3 + 4*f**2 + 4*f. What is a*x(q) + 9*t(q)?
-q**3
Let y(p) be the second derivative of 3*p**5/20 - 5*p**4/12 + 2*p**3/3 + p**2/2 + 7*p. Let o(d) = -2*d**3 + 4*d**2 - 3*d - 1. What is 4*o(m) + 3*y(m)?
m**3 + m**2 - 1
Let q(y) = -y**3 + 2*y**2 + 5*y - 2. Let g be q(3). Suppose -g*m = -m - 2*v + 8, 4 = 4*v. Let c(s) = 5*s**2 - 13. Let j(d) = d**2 - 3. What is m*c(f) + 9*j(f)?
-f**2 - 1
Let z(u) = 11*u**3 - 8*u**2 - 8*u - 2. Let l(y) = 4*y**3 - 3*y**2 - 3*y - 1. Calculate -8*l(f) + 3*z(f).
f**3 + 2
Let m(g) = -4*g**3 + 2. Let r = -43 - -45. Let a(n) = -8*n**3 + 5. Determine r*a(b) - 5*m(b).
4*b**3
Let a(p) = -2*p - 23. Let y(j) = -j - 12. Let x(g) = 6*a(g) - 11*y(g). Let f(b) = -b**2 - 7*b - 1. Let z be f(-7). Let u(k) = 1. Calculate z*x(s) - 4*u(s).
s + 2
Let m(o) = -o**2 - o. Let i(y) = 4*y. Suppose 4*t - 2*b + 8 = 2*b, 12 = -3*t + 5*b. Give t*i(u) + 3*m(u).
-3*u**2 + u
Let u(c) = -4*c**2 + 5*c - 9. Suppose 0 = 5*d - 2*d. Suppose 4*x - 8 + 0 = d. Let o(t) = -t**2 - 4 - 5*t**2 + 4*t**x + 2*t. Calculate -5*o(b) + 2*u(b).
2*b**2 + 2
Let v(h) = 2*h**2 - 3*h + 3. Let n(i) = -i**2 + 4*i - 4. What is -3*n(t) - 4*v(t)?
-5*t**2
Let b(v) = -1. Let u(y) be the second derivative of y**5/10 - y**3/3 + 2*y**2 - y. What is 4*b(f) + u(f)?
2*f**3 - 2*f
Let t(q) be the second derivative of q**4/3 + q**3/3 - q. Let o = -4 - -1. Let s = 0 - o. Let k(l) = 5*l**2 + 2*l + 1. Calculate s*t(d) - 2*k(d).
2*d**2 + 2*d - 2
Let i = 5 - 11. Let m(c) = 3*c**2 - 1. Let f(d) = -2*d**2 + d. Let r(l) = 5*f(l) + 6*m(l). Let s(q) = 7*q**2 + 4*q - 5. Calculate i*s(g) + 5*r(g).
-2*g**2 + g
Let i = -4 - -8. Suppose 28 = -3*w + i*k, -5*w - 45 = 4*k - 9*k. Let h(q) = 3*q**2 - 8*q - 11. Let g(j) = -j**2 + 3*j + 4. Give w*g(s) - 3*h(s).
-s**2 + 1
Let b(s) be the first derivative of -7/2*s**2 - 13*s + 1. Let l(y) = -4 - y - 3*y - 3. What is 6*b(h) - 11*l(h)?
2*h - 1
Let y(t) = -t - 1. Let g be 23/((2*-1)/2). Let w = g + 6. Let q = 11 + w. Let s(i) = -i - 1. What is q*s(b) + 5*y(b)?
b + 1
Let j(q) = -8*q**3 + 5*q**2 + 5*q. Let v(i) = i**3 - i**2 - i. Let p(f) = f + 2. Let n be p(-4). Let w be (2/4)/((-1)/n). What is w*j(t) + 5*v(t)?
-3*t**3
Let p(g) = -g**3 - g**2 + g - 1. Let m(o) = 8*o**2 - 4*o + 6. What is m(n) + 6*p(n)?
-6*n**3 + 2*n**2 + 2*n
Let k(b) = -4*b**2 - b**3 + 4 - 4. Let y(u) = u**2 - 9*u - 8. Let s be y(10). Suppose -s*z - 11 + 3 = 0. Let t(o) = -o**3 - 3*o**2. Determine z*t(j) + 3*k(j).
j**3
Let i(r) = 3*r**2 - 2. Let t(c) = c**2 + 4*c - 2. Let s be 44/(-10) - 4/(-10). Let o be t(s). Let y(g) = 10*g**2 - 7. Calculate o*y(a) + 7*i(a).
a**2
Let u(g) = 13*g. Let i(t) = -t**3 + t**2 + t. Let c be i(2). Let w(v) = 8*v - 5. Let k(d) = -9*d + 6. Let r(s) = 5*k(s) + 6*w(s). Calculate c*u(f) + 9*r(f).
f
Let y(t) = 2*t - 5 + 3 + 3*t**3 + t**3. Suppose 4 = -2*v - 0. Let j(d) = -3*d**3 - d + 1. Let x(b) = b**2 - 10*b + 6. Let f be x(9). Determine f*j(n) + v*y(n).
n**3 - n + 1
Let t(p) = -p**3 + 6*p**2 + 6*p - 9. Let w(j) = -j**3 + 7*j**2 + 7*j - 10. Calculate -7*t(c) + 6*w(c).
c**3 + 3
Suppose 0 = -3*d - 84 - 0. Let n be (-8)/d + 79/(-7). Let o(c) = 3*c**2 - 4*c**2 + 3*c**2 - 3*c**2 + 11*c + 11. Let a(q) = -2*q - 2. Give n*a(u) - 2*o(u).
2*u**2
Let p(g) = -3*g**2 - 2*g + 6. Let b be p(-2). Let v(l) = -3*l**3 - l**2 - 2*l + 2. Let h(a) = a**2 + 5*a - a**2 + 7*a**3 - 5 + 3*a**2. Give b*h(x) - 5*v(x).
x**3 - x**2
Let g(a) = -4*a**2 + 5. Let u(j) = 2*j**2 - 2. Give 6*g(p) + 15*u(p).
6*p**2
Let n(p) = -21*p + 5. Let j(k) = -20*k + 4. Give -4*j(z) + 3*n(z).
17*z - 1
Let p(w) = -2*w - 1. Let n be 2/(-11) + 336/(-88). Let u(t) = t + 1. Let m(j) = -4*j - 3. Let z(a) = -m(a) - 2*u(a). Give n*z(q) - 5*p(q).
2*q + 1
Let d = -1 - -6. Let m(g) = 4*g + 1. Let q(t) = 9*t + 3. Calculate d*m(h) - 2*q(h).
2*h - 1
Let p(y) = -10*y**2 + 5. Let u(s) = -39*s**2 + 21. What is -21*p(l) + 5*u(l)?
15*l**2
Let p(u) = 10*u - 3. Let i be 1*(0 + -1 + 8). Let j(c) = 3*c - 1. What is i*j(l) - 2*p(l)?
l - 1
Let j(t) = 10*t**2 - 5*t - 3. Let z(m) = -11*m**2 + 6*m + 4. Let k(n) = -6*j(n) - 5*z(n). Let a(x) = 4*x**2 + 2. Determine -3*a(h) - 2*k(h).
-2*h**2 - 2
Let m = -1 + 9. Let f(y) = -3*y**2 + 0*y**2 + 0*y**2 + 2 + 6*y**3 + y**2. Let d(t) = -2*t**3 + t**2 - 1. What is m*d(b) + 3*f(b)?
2*b**3 + 2*b**2 - 2
Let l(o) = 1. Let b(v) = -2*v**3 - 13*v - 6. Let t(d) = -d**3 - 6*d - 3. Let a(p) = -6*b(p) + 13*t(p). Calculate -a(g) - 2*l(g).
g**3 + 1
Let r = 8 + -11. Let t(a) = -a + 1. Let i(f) = -4*f + 3. Give r*t(o) + i(o).
-o
Let p(c) = 240*c - 239*c + 0 + 1. Let z(b) = b - 6. Calculate 4*p(h) + z(h).
5*h - 2
Let s(i) = 3*i - 6. Let l(x) = -1. What is 5*l(w) - s(w)?
-3*w + 1
Let i(r) = 4*r - 9*r**2 + 3 + 8*r**2 + 3. Let f(n) = -3*n - 5. Let p(m) = -4*f(m) - 3*i(m). Let k(z) = -z + 10*z**2 - 1 + 6*z**2 + 11. Give 2*k(y) - 11*p(y).
-y**2 - 2*y - 2
Let l = -3 + 4. Let d(i) = -1. Let t be (-2*5/10)/((-2)/8). Let n(j) = 2*j**2 + 4. Calculate l*n(x) + t*d(x).
2*x**2
Let f(x) = 2 - | {
"pile_set_name": "DM Mathematics"
} |
composite?
True
Is 213368473 a prime number?
True
Is 4070153 composite?
True
Is 135896977 a prime number?
True
Is 202478278 composite?
True
Is 175154919 a prime number?
False
Is 373547677 a composite number?
True
Is 102047989 a prime number?
True
Is 30884017 prime?
True
Is 1672891 composite?
True
Is 4018409 composite?
True
Is 243193 a composite number?
True
Is 8420119 prime?
True
Is 49917451 a prime number?
False
Is 28202927 a prime number?
True
Is 14995303 a composite number?
True
Is 3452563 a composite number?
True
Is 3958531 a composite number?
False
Is 363846121 prime?
False
Is 10150603 a prime number?
True
Is 1651019 prime?
True
Is 28305061 prime?
True
Is 11597351 composite?
False
Is 34546819 composite?
True
Is 15771883 prime?
True
Is 4352897 a prime number?
False
Is 1610123 a prime number?
True
Is 52801517 a prime number?
True
Is 187009 prime?
True
Is 948659 composite?
False
Is 8760111 a prime number?
False
Is 13093273 prime?
True
Is 287692633 composite?
False
Is 8780543 prime?
True
Is 1114429 composite?
True
Is 6069659 a prime number?
True
Is 721783 composite?
False
Is 6111139 prime?
True
Is 10435217 a prime number?
False
Is 1834367 a prime number?
False
Is 5369339 a prime number?
True
Is 35390857 prime?
False
Is 271421 a composite number?
True
Is 4978717 a prime number?
False
Is 4552741 a composite number?
False
Is 37403749 a prime number?
False
Is 12040957 prime?
True
Is 964610707 a prime number?
True
Is 7156801 a prime number?
False
Is 3021286 prime?
False
Is 48800177 prime?
True
Is 2033783 a prime number?
True
Is 25016969 a prime number?
False
Is 50978882 a prime number?
False
Is 5432261 composite?
False
Is 63938843 a composite number?
False
Is 1238603 a prime number?
False
Is 23145503 prime?
False
Is 69959 composite?
False
Is 4274237 a composite number?
True
Is 135251 composite?
True
Is 25659869 composite?
False
Is 17240029 composite?
False
Is 28442009 prime?
True
Is 53229047 prime?
True
Is 6150679 prime?
False
Is 4503053 prime?
False
Is 13206779 a prime number?
True
Is 38023151 a composite number?
True
Is 3228661 a composite number?
False
Is 6025153 a prime number?
False
Is 11795857 a prime number?
True
Is 22428533 a composite number?
False
Is 3760759 composite?
False
Is 48052427 composite?
False
Is 665897 a prime number?
True
Is 161161643 a prime number?
True
Is 3912803 a prime number?
False
Is 5976799 prime?
False
Is 504631 composite?
False
Is 8920463 composite?
False
Is 35724509 a prime number?
True
Is 62668147 a prime number?
True
Is 28402039 composite?
False
Is 144188899 prime?
False
Is 415274411 composite?
True
Is 7704497 prime?
True
Is 35356343 a composite number?
True
Is 70578355 prime?
False
Is 105684997 composite?
True
Is 3029605 composite?
True
Is 203938481 composite?
True
Is 37515893 a composite number?
False
Is 16056038 a prime number?
False
Is 1414339237 a prime number?
True
Is 2587493 a prime number?
False
Is 164119367 composite?
True
Is 23502121 composite?
False
Is 694313 a composite number?
False
Is 10066783 a prime number?
True
Is 252040763 prime?
False
Is 8932411 prime?
False
Is 7802281 prime?
True
Is 976699 a prime number?
True
Is 9987031 composite?
False
Is 337697 a composite number?
False
Is 63439891 a prime number?
True
Is 3721105 composite?
True
Is 28131665 composite?
True
Is 5447663 a composite number?
True
Is 62350683 a prime number?
False
Is 275932759 prime?
True
Is 1221373 a prime number?
True
Is 1562707 a prime number?
True
Is 24601157 composite?
True
Is 6110879 prime?
False
Is 8067637 composite?
True
Is 45432109 prime?
False
Is 21116402 a composite number?
True
Is 102967 a composite number?
False
Is 4351561 composite?
False
Is 39254041 prime?
True
Is 13991377 a prime number?
False
Is 63748367 a prime number?
True
Is 1069171 prime?
True
Is 92694851 composite?
False
Is 1583999 composite?
False
Is 21209743 prime?
True
Is 4107227 composite?
True
Is 1387913 a prime number?
True
Is 15500939 a prime number?
True
Is 7777447 composite?
False
Is 821281 a composite number?
False
Is 194758373 prime?
False
Is 44388713 prime?
True
Is 147827707 composite?
False
Is 379020629 prime?
False
Is 18034927 prime?
True
Is 6855782 prime?
False
Is 952171 a composite number?
True
Is 24458441 prime?
False
Is 972159 a prime number?
False
Is 749209 composite?
False
Is 92351477 a composite number?
False
Is 1691698 composite?
True
Is 8343703 a prime number?
True
Is 4009319 composite?
False
Is 50326447 a composite number?
True
Is 17564627 prime?
False
Is 765031 a prime number?
True
Is 79149767 a prime number?
True
Is 35184443 a composite number?
True
Is 500366305 prime?
False
Is 1044821 composite?
True
Is 864277 composite?
False
Is 51799859 a prime number?
True
Is 15288887 a composite number?
True
Is 4865207 prime?
True
Is 95019739 composite?
True
Is 240545 prime?
False
Is 2889203 prime?
False
Is 1670107 composite?
True
Is 560335273 prime?
True
Is 9164147 composite?
False
Is 452615521 a composite number?
True
Is 89022727 prime?
False
Is 208113 composite?
True
Is 4698293 prime?
True
Is 20954462 composite?
True
Is 116009 prime?
True
Is 1476415 a prime number?
False
Is 16501789 a prime number?
True
Is 18928891 prime?
True
Is 1036219 prime?
False
Is 244452023 composite?
False
Is 7172983 composite?
True
Is 375227611 prime?
False
Is 3793759 composite?
True
Is 54093205 a composite number?
True
Is 77914147 composite?
False
Is 69369751 a prime number?
False
Is 538511 composite?
False
Is 3911197 a prime number?
False
Is 13718821 a prime number?
False
Is 510047 a composite number?
False
Is 44508733 a composite number?
True
Is 83333243 composite?
True
Is 15394307 a composite number?
False
Is 85935559 a composite number?
False
Is 528947 a composite number?
False
Is 11597879 a composite number?
False
Is 3738187 composite?
True
Is 2388059 a prime number?
True
Is 634078261 a composite number?
True
Is 764431 a composite number?
False
Is 3483595 a composite number?
True
Is 9458243 a composite number?
False
Is 122148529 a composite number?
False
Is 183858989 prime?
True
Is 7051085 a prime number?
False
Is 71963209 a prime number?
False
Is 1329787 composite?
False
Is 1569479 prime?
True
Is 622433 a prime number?
False
Is 27951347 prime?
True
Is 16517279 a prime number?
False
Is 2381497 prime?
True
Is 8072027 a composite number?
False
Is 8836657 a composite number?
False
Is 6597233 composite?
False
Is 207709717 a prime number?
True
Is 46402907 a prime number?
True
Is 27235283 a composite number?
False
Is 53527 composite?
False
Is 172481989 a prime number?
True
Is 2922191 a composite number?
False
Is 4833313 prime?
False
Is 11489873 composite?
False
Is 3305147 a prime number?
True
Is 37353515 a composite number?
True
Is 1414317 a prime number?
False
Is 98514071 prime?
False
Is 4187329 a prime number?
True
Is 5433377 composite?
True
Is 1023481 prime?
False
Is 286665689 a prime number?
True
Is 28114291 a prime number?
True
Is 209663621 a composite number?
False
Is 31019 composite?
False
Is 848448713 composite?
True
Is 556343371 a prime number?
False
Is 5307311 a prime number?
True
Is 1640131 a prime number?
True
Is 39478303 prime?
True
Is 44877059 composite?
True
Is 3361087 a prime number?
False
Is 1631489 a composite number?
False
Is 209753987 composite?
True
Is 122709869 a prime number?
True
Is 17288573 composite?
False
Is 17590043 prime?
True
Is 4430561 a prime number?
True
Is 13169021 a composite number?
False
Is 213247 a composite number?
False
Is 219314467 composite?
True
Is 34082593 a composite number?
True
Is 165529571 a composite number?
False
Is 1091651 a prime number?
False
Is 1941827 composite?
False
Is 7343995 prime?
False
Is 1033514 prime?
False
Is 60739529 composite?
False
Is 259379 a prime number?
True
Is 10603279 a prime number?
False
Is 11484329 composite?
False
Is 99643909 prime?
False
Is 75230641 a prime number?
False
Is 19766861 prime?
False
Is 739223 prime?
False
Is 2531383 a prime number?
False
Is 61207687 prime?
False
Is 291419 prime?
True
Is 5517422 composite?
True
Is 14425493 a composite number?
False
Is 20523634 a composite number?
True
Is 5734801 a prime number?
True
Is 1110197 composite?
True
Is 2573221 a prime number?
False
Is 13176659 a composite number?
False
Is 397541 a prime number?
True
Is 4672243 a composite number? | {
"pile_set_name": "DM Mathematics"
} |
greatest common divisor of 264 and y.
66
Let h(z) be the second derivative of z**4/4 - 5*z**3/6 + 35*z**2 - 121*z. Let j be h(12). What is the greatest common divisor of j and 52?
26
Suppose -38*n + 8*n + 3960 = 0. Let v(q) = 81*q - 1. Let t be v(1). Let o = n - t. What is the greatest common divisor of 13 and o?
13
Let l be (-2 + (-99)/(-36))/(4/(-16)). Let r be l/6*(-1)/((-3)/(-48)). Suppose -91 = -m + 61. What is the greatest common factor of m and r?
8
Suppose -50 = -3*t - 5. Suppose -52*a + 41*a + 639 + 21 = 0. What is the greatest common divisor of a and t?
15
Let a be (10 - 7)/(-3*(-3)/(-570)). Let k be ((-19)/(a/84))/(4/10). Calculate the highest common factor of k and 441.
21
Let m = -85 - -48. Let q = -35 - m. Suppose -j - q = -170. Calculate the highest common divisor of j and 24.
24
Let v(i) = i**2 - 33*i + 54. Let s be v(10). Let o be (-66)/s - (-954)/16. What is the greatest common divisor of 24 and o?
12
Let a(j) = -28*j**2 + 3. Let p be a(2). Let t = p - -141. Calculate the highest common divisor of 24 and t.
8
Let t be (-4)/(-12)*6 + -32. Let u be ((-88)/(-4) - 10)*(-1 - t). Calculate the highest common factor of 12 and u.
12
Let o(w) = -3 - 9*w**3 + 0*w**3 + 12 + 9*w + 8*w**3 + 3 + 4*w**2. Let t be o(-4). What is the highest common divisor of 13 and t?
13
Let h be (2*378/(-144))/(1/(-116)). What is the greatest common divisor of 441 and h?
21
Let s = 8035 + -7832. Let y(r) = 7*r - 7. Let m be y(5). Suppose -t + f + 0*f + m = 0, -f = 3*t - 88. What is the greatest common divisor of s and t?
29
Suppose 0 = 4*j - j - 51. Let y = 37 - j. Suppose 331 = 5*h + 5*r + 131, 4*r = h - y. What is the highest common factor of h and 12?
12
Suppose 0 = 21*c + 185 - 1970 - 672. What is the highest common divisor of 747 and c?
9
Suppose 0 = 5*j + 2*i - 1475, 4*i - 295 = 2*j - 3*j. Let f = 316 - j. What is the greatest common factor of 441 and f?
21
Let l be 9*-1*(1 + -2) + 237. What is the greatest common divisor of l and 2296?
82
Let k be (-14)/(-21)*3834 + 0. Suppose -4*j = 5*j - k. Calculate the highest common factor of 213 and j.
71
Let t(u) = 17 + u**2 + 16 - 3*u - 31. Let b be t(-3). Calculate the highest common divisor of b and 60.
20
Let p = 124 - 23. Suppose 40*i - w + 2 = 39*i, i + 4*w = 28. Suppose 0 = -i*h - 21 + p. What is the greatest common factor of h and 2?
2
Let b be ((-72)/(-32))/(1/(-36)). Let w = b + 153. Let d be (-100)/75*(2 + (-35)/4). What is the highest common factor of w and d?
9
Suppose -13377 = -14*n - 5*a - 3534, -n + 3*a + 693 = 0. What is the highest common factor of n and 1248?
78
Suppose -4 = f - 4*f + 2*c, 4 = f - 2*c. Suppose -15*a + 120 = 5*s - 13*a, -2*s + a + 57 = f. What is the greatest common factor of s and 598?
26
Suppose -3*n = -8*b - 3, 9*n - 12*n = 3*b - 3. What is the highest common factor of n and 60?
1
Let i be ((-40)/15)/(-8) + 4/6. Suppose w - 4*u + i = 8, 5*u = 0. Suppose 0 = 2*a - a - w. What is the greatest common divisor of a and 1?
1
Suppose 3*h - 4*h + 3*n = -92, 2*h - n = 204. Suppose 24*q = h + 112. Calculate the highest common factor of 81 and q.
9
Suppose s - 643*p - 5087 = -644*p, 3*s - 3*p = 15267. What is the greatest common factor of 120 and s?
24
Let o(a) = 56*a**2 + 42*a - 101. Let b be o(7). Calculate the greatest common factor of b and 132.
33
Suppose 85*d + 21021 = 124*d. What is the highest common factor of d and 1925?
77
Let n = 3114 - 3099. What is the highest common factor of 17580 and n?
15
Suppose 912 = 48*n - 385 + 1. Calculate the highest common divisor of 3078 and n.
27
Let a = 149 - 146. Let h be (7 - a) + 3*536/6. What is the highest common divisor of 32 and h?
16
Suppose -o + 14 + 32 = 0. Suppose 135 = k - 15*c + 14*c, -2*k + 264 = -4*c. What is the highest common divisor of o and k?
46
Let c be ((-35)/15)/((-3015)/(-432) + -7). What is the highest common factor of 98 and c?
14
Suppose 6*h = -24, -3*q = h - 1869 - 9350. Calculate the greatest common divisor of q and 129.
129
Let u = -165 + 366. Suppose 47*l = -9543 + 25805. Let j = l - u. Calculate the highest common factor of 58 and j.
29
Let n = 104 - -22. Suppose -2*b = -5*l - 61, 5*b - 67 = -2*l + 13. What is the greatest common divisor of n and b?
18
Let c be ((-46)/(-23) - (-203)/2)/((-2)/(-4)). Calculate the greatest common factor of 828 and c.
207
Suppose -3935 = -5*c - 2*y, -5*y = 34 - 9. Calculate the highest common divisor of 3 and c.
3
Suppose -69*g - 11*g + 3840 = 0. What is the greatest common divisor of 800 and g?
16
Suppose 1241*t - 1095*t - 167170 = 0. Calculate the highest common factor of 5 and t.
5
Let v be (-2)/(1*8/28). Let m(j) = 10*j + 28. Let t be m(v). Let u = 45 + t. What is the greatest common divisor of 24 and u?
3
Suppose 614 + 1262 = -7*l. Let i = -226 - l. Calculate the highest common factor of 12 and i.
6
Let q = -44988 + 49150. Calculate the greatest common factor of 2 and q.
2
Suppose -5*m = 4*j + 10, 3*j = 6*m + 12 - 0. Suppose -41*p + 1688 + 2740 = j. What is the highest common factor of p and 6?
6
Let r be (13 + -1 + -14)*-69*22/4. Calculate the greatest common factor of r and 1587.
69
Suppose -3 - 2 = 5*g. Let j be (-175)/35 + (-80)/g. Calculate the highest common divisor of j and 25.
25
Suppose 0 = 6*b - 1068 + 1050. Let f be (-83 + -19)*((-2)/b)/1. What is the highest common factor of f and 238?
34
Let f(c) = -10143*c + 1387. Let z be f(-1). What is the highest common divisor of 20 and z?
10
Let h(d) = d**2 + 3*d + 2. Let l be 2 + (0 - (2 - 3)). Let r be h(l). Let m(x) = 278*x - 2044. Let k be m(8). Calculate the highest common factor of r and k.
20
Let q(c) = -185*c + 831. Let l be q(4). Calculate the greatest common factor of 1027 and l.
13
Let v(i) = -1025*i + 301. Let o be v(-9). What is the greatest common divisor of 22 and o?
22
Let g be 1005*4/8*(-10)/(-15). Let m = -258 + g. Suppose 4*k - 5*s - 39 = 0, -s + 1 + 0 = 0. What is the highest common factor of k and m?
11
Let z = -58 + 130. Let g be 39/(-10 - 1236/(-120)). Let r = g - z. Calculate the highest common divisor of r and 145.
29
Let x be -50*-2*7 + -59 + 64. Calculate the highest common divisor of x and 423.
141
Let o(r) = 0*r**2 - 4*r**2 - 10 + 3*r**2 - 19*r + 5*r**2 + r**3. Let h be o(-6). What is the highest common divisor of 320 and h?
32
Suppose -324*r + 5568 = -276*r. Calculate the greatest common divisor of r and 5684.
116
Let n be -22*2/((-96)/984). What is the highest common factor of 1271 and n?
41
Suppose -10*r + 11*r - 5694 = -3*v, -r + 16*v + 5694 = 0. What is the greatest common factor of r and 390?
78
Let h(s) = s**3 - 4*s**2 + 2*s - 5. Let w be h(4). Suppose 0 = -8*o + 3583 - 1471. Let y be (4/(-16))/((-2)/o). What is the greatest common factor of w and y?
3
Let x be -1 + 3/1*16/(-12). Let u(h) = h**2 + 8*h + 10. Let l be u(x). Let g be (15 - -5)*(-4)/l. What is the highest common factor of 8 and g?
8
Let z be ((-24)/(-5))/((-10)/(-50)). Let y = -65 - -67. Suppose 6*v + 38 = q + v, -y*q = -v - 40. Calculate the highest common divisor of q and z.
6
Let m be -1 - 0 - (1 - 14). Let y = -102 - -109. Suppose 26 + 35 = 5*v - l, 5*l - y = -v. What is the greatest common divisor of v and m?
12
Let g = 10 + -7. Suppose -4 = -5*z + g*z. Suppose -53*w + 48*w + 4*c = -80, -5*w - 5*c + 80 = 0. What is the greatest common factor of w and z?
2
Let r be (-2)/4*-24*408/48. Suppose -3*l + 1632 = 3*l. Calculate the greatest common factor of r and l.
34
Suppose -2*g + 6*g = 4*o - 3556, 5*g = 4*o - 3560. What is the highest common factor of o and 15?
15
Let z = 38 + -34. Suppose z*u = -3*q - q + 32, -5*u = 15. Let p = 93 - 71. What is the greatest common divisor of p and q?
11
Suppose 0 = 4*i - 3*i - 737. Suppose 5*b - 5*r - 128 = 197, -5*b - 5*r + 345 = 0. What is the greatest common divisor of i and b?
67
Suppose -97*a + 47*a = -43*a - 252. Let m be (-2)/9 - 14378/(-63). Calculate the greatest common divisor of a and m.
12
Suppose -3*x + 24 = 3*x. Let z(s) = -150*s + 1354. Let w be z(9). What is the highest common factor of w and x?
4
Let v(r) = 39*r - 105. Let z be v(28). Suppose -2861 = -13*q + z. Calculate the greatest common factor of 16 and q.
8
Suppose 37*y - 41*y = -72. Let t = -97 - -101. Suppose 4*h + q = 12, -5*h - q - t*q = -15. Calculate the highest common factor of h and y.
3
Suppose -c = 3*l | {
"pile_set_name": "DM Mathematics"
} |
te m(x) with respect to x.
21
Let u(l) = -5. Let x(v) = 2*v + 11 - v + 0*v. Let j be 12/18*(-15)/2. Let n(h) = j*u(h) - 3*x(h). What is the first derivative of n(o) wrt o?
-3
Suppose -4*u = -2*u + 24. Let i = 14 + u. Find the third derivative of -4 + 4 + 0 - i*j**2 + 2*j**6 wrt j.
240*j**3
Find the third derivative of 2*t**3 - 365 + 735 - 370 - 25*t**5 - 2*t**2 - 172*t wrt t.
-1500*t**2 + 12
Let m = 35 + -21. Find the second derivative of -16*k - m*k + 16*k**5 + 40*k + k wrt k.
320*k**3
Let p(u) = -3*u**3 - 4*u**2 - 6*u + 175. Let v(n) = -11*n**3 - 11*n**2 - 17*n + 526. Let c(y) = 11*p(y) - 4*v(y). What is the first derivative of c(x) wrt x?
33*x**2 + 2
Let m(h) = 2*h**2 - 6*h - 7. Let p be m(5). What is the third derivative of -12*s**2 + 25*s**2 + 2*s**3 + p*s**3 wrt s?
90
Let y(s) = 41*s - 20*s - 20*s. Let n(r) = -15*r**4 - 6*r - 25. Let x(c) = n(c) + 6*y(c). What is the derivative of x(g) wrt g?
-60*g**3
Let s(f) be the second derivative of -73*f**5/10 - f**4/12 - 164*f**3/3 - f**2 - 492*f. Find the second derivative of s(d) wrt d.
-876*d - 2
Let o be (4/2)/((-8)/(-20)). Suppose 7*h - 12 = 3*h - 4*f, -o = -4*h + 3*f. What is the second derivative of 8*u**2 + 4 - u - 5*u**h - 4 wrt u?
6
Let z be (2 + (-14)/4)*-2. Differentiate 2*k**3 + k**3 + 0*k**3 - 8*k**z + 13 with respect to k.
-15*k**2
Let i(z) = z**2 + z - 1. Let t be 56/(-12) + (-4)/12. Let p(s) = 14*s**3 - 5*s**2 - 5*s + 14. Let f(g) = t*i(g) - p(g). Differentiate f(y) with respect to y.
-42*y**2
Let x(p) be the second derivative of 7*p**2 + 0 + 0*p**4 + 0*p**5 + 0*p**3 + 7/30*p**6 + 17*p. Differentiate x(m) wrt m.
28*m**3
Let y be 1 + (5/5)/(3/6). Differentiate 1 - 2*o**y - 3*o**3 + 0 + 2*o**3 with respect to o.
-9*o**2
Suppose -z + 4 = z. Find the second derivative of -w + 0*w**z - 17*w**4 - w**2 + w**2 wrt w.
-204*w**2
Let p be (-7)/(-28) + (-327)/(-4). Find the second derivative of 4*t + 82*t**4 - p*t**4 + 9*t - 10*t**5 wrt t.
-200*t**3
Let t(x) be the third derivative of -81*x**6/20 - 227*x**4/6 - x**2 + 49. Find the second derivative of t(r) wrt r.
-2916*r
Let s(k) be the third derivative of -29*k**7/42 + 235*k**3/6 + 189*k**2. Differentiate s(m) with respect to m.
-580*m**3
Let q(x) = x**2 + 4*x + 1. Let r = -1 + -4. Let g be q(r). Find the third derivative of m**2 + 2*m**6 + 0*m**2 + 4*m**2 + m**g wrt m.
360*m**3
Let k be 3 + -2*(-3)/2. Find the second derivative of 9*r - 3*r - k*r**4 + 4*r wrt r.
-72*r**2
Let g(b) = -6 - 4*b - b + 3*b. Let d be g(-4). Differentiate 3 - 5*k**2 + k**d + 3*k**2 - 2*k**2 with respect to k.
-6*k
Find the first derivative of 229 + 54*y**2 + 4*y**2 - 58*y**2 + 140*y**3 wrt y.
420*y**2
What is the second derivative of 71 + 315*j**2 + 2*j**5 + 15*j**4 - 2*j - 315*j**2 wrt j?
40*j**3 + 180*j**2
Let z(w) be the second derivative of -9*w**7/14 - 32*w**3/3 - 4*w - 2. Find the second derivative of z(o) wrt o.
-540*o**3
Let f = 20 + -16. Suppose 0*m = 2*m - f. Find the third derivative of 9*s**m + s**5 - 14*s**2 + 5*s**5 wrt s.
360*s**2
Let h(v) be the third derivative of -23/24*v**4 + 0 + 2/3*v**3 + 3*v**2 + 0*v. What is the derivative of h(b) wrt b?
-23
Let i(r) = r - 4. Let l be i(9). Let a be (-2)/l*(-3 - 2). What is the second derivative of 18*v**2 - 12*v + 2*v + 2*v**4 - 18*v**a wrt v?
24*v**2
Let d(o) = -157*o**3 - 7*o**2 - 98*o - 7. Let h(f) = 105*f**3 + 5*f**2 + 66*f + 5. Let x(u) = 5*d(u) + 7*h(u). What is the second derivative of x(m) wrt m?
-300*m
Let j(g) = -2*g**3 - 20*g**2 - 18*g + 4. Let y be j(-9). Find the second derivative of -18*v + 1851 - 1851 + 24*v**y wrt v.
288*v**2
What is the second derivative of -49 - 7*i + 21 + 98*i**2 + 26 wrt i?
196
Let a(x) = -x**3 - 6*x**2 - 6*x - 1. Let p be a(-5). Suppose -3*w + p*k + 8 = 0, 44 = 2*w + w + 5*k. Find the first derivative of -w - 8*b + 5 + 2 wrt b.
-8
Let a(s) = 354*s**3 - 803*s**2 - 4*s + 8. Let j(l) = 705*l**3 - 1605*l**2 - 7*l + 14. Let u(q) = 7*a(q) - 4*j(q). Find the third derivative of u(v) wrt v.
-2052
Find the third derivative of -26 - 6*r**5 - 20*r**3 + 26 - 338*r**2 + 278*r**2 wrt r.
-360*r**2 - 120
Let w(k) be the first derivative of -k**7/21 - k**5/5 - 3*k**2 + 15. Let z(m) be the second derivative of w(m). What is the third derivative of z(c) wrt c?
-240*c
What is the second derivative of 2266*t - 37*t**2 - 2195*t - 13*t**2 wrt t?
-100
Suppose 15*o = 24 + 51. What is the third derivative of -112*z**o + 4*z**2 - 108*z**5 + 6*z**6 + 220*z**5 wrt z?
720*z**3
Let p(n) = n**2 + 2*n - 15 - 10*n + 20. Let a be p(8). What is the second derivative of 3*o**5 + 2*o**a + 3*o - 6*o**5 wrt o?
-20*o**3
Let u(c) be the second derivative of -1/6*c**4 + 0*c**5 + 0*c**3 - 1 + c - 1/2*c**2 + 6/5*c**6. What is the third derivative of u(m) wrt m?
864*m
Suppose 25*x - 28*x + 8 = 2*w, -5*x + 20 = 5*w. Let u(s) be the third derivative of 5/6*s**3 + 0 - 7/60*s**5 + 0*s**4 + 2*s**2 + x*s. Differentiate u(t) wrt t.
-14*t
Suppose 0*v - v = -22. Let u be 31/11 - (-4)/v. Find the third derivative of 2*z**6 + 0*z**2 - u*z**2 - 5*z**6 wrt z.
-360*z**3
Let b(a) be the first derivative of 5*a**4 - 7 - 2*a**4 - 16*a - a**4 + 2*a**4. Differentiate b(p) with respect to p.
48*p**2
Find the second derivative of 7*n**4 + 9*n**4 - 15*n - 83*n + 3*n**2 wrt n.
192*n**2 + 6
Let w = 77 - 53. What is the second derivative of w*y**2 - 17*y + 8*y**2 - 2*y - 6*y**2 wrt y?
52
Let n(k) = 1389*k**3 + 14*k**2 + 23*k. Let w(z) = -347*z**3 - 3*z**2 - 6*z. Let c(p) = 2*n(p) + 9*w(p). What is the third derivative of c(u) wrt u?
-2070
Let o = -5 - -10. Suppose -4*u = -6*u + 3*g - 11, 5*g - 31 = -3*u. Find the third derivative of 647*a**4 + 13*a**o - 647*a**4 - 2*a**u wrt a.
780*a**2
Let y(a) be the second derivative of -11*a + 0*a**3 - 1/2*a**2 + 11/6*a**4 + 0. Differentiate y(w) with respect to w.
44*w
Let i(q) be the second derivative of q**5/4 + 5*q**4/12 - 11*q**3 + q + 5. Find the second derivative of i(w) wrt w.
30*w + 10
Let i(v) = 69*v + 137. Let m(g) = 14*g + 27. Let d(o) = -2*i(o) + 11*m(o). Find the first derivative of d(w) wrt w.
16
Let x(s) be the third derivative of -17*s**6/120 + 121*s**3/6 - 40*s**2. Differentiate x(k) with respect to k.
-51*k**2
Find the second derivative of -167*s - 5 + 160*s - 2*s**3 + 56*s**2 - 24*s**2 + 4 wrt s.
-12*s + 64
Let m(n) be the third derivative of -117*n**5/20 + 70*n**4/3 - 450*n**2. Find the second derivative of m(a) wrt a.
-702
What is the derivative of -53 - 13*d**2 + 20*d**2 + 77 + 12*d**2 wrt d?
38*d
Let t(k) be the second derivative of -k**8/672 + k**6/90 + k**4/6 - 2*k. Let z(v) be the third derivative of t(v). What is the second derivative of z(w) wrt w?
-60*w
Let y(h) be the first derivative of 0*h**3 + 0*h**4 + 0*h**2 + 43/5*h**5 + 16*h + 28. What is the derivative of y(t) wrt t?
172*t**3
Suppose 14*u = 16*u - 16. Find the first derivative of -u - r**2 + r**2 + r**4 - 12*r**4 wrt r.
-44*r**3
Let g(f) = 115*f**2 - 43*f - 5. Let t(d) = -2*d + 1. Let n(k) = -g(k) - 5*t(k). Find the second derivative of n(j) wrt j.
-230
Let d(g) be the third derivative of -31*g**7/210 - g**6/60 - 229*g**5/60 - g**3/3 + 188*g**2. What is the third derivative of d(b) wrt b?
-744*b - 12
Let u be ((-7)/3 - -3)*3. Suppose u*p = 5*p - 9. Find the second derivative of 2*g - p*g - g - 3*g**4 - 3*g**4 wrt g.
-72*g**2
Find the first derivative of 45*b**2 + 612 - 769 + 78*b**2 + 43*b**2 - 6*b**2 wrt b.
320*b
What is the third derivative of 124*b**3 + 95*b**2 - 262*b**3 + 102*b**3 wrt b?
-216
Let i(o) be the second derivative of -19*o**5/2 - o**4/6 + 8*o**2 - 21*o + 2. Find the third derivative of i(b) wrt b.
-1140
Let c(l) = -3*l + 3. Let d be c(-9). Let f be ((-8)/(-12))/(4/d). Find the second derivative of w - 7*w - w**f - 9*w**5 + 2*w**5 wrt w.
-160*w**3
Let r be (5 - (3 - 3)) + 44. What is the third derivative of 128*w**2 - 56*w**2 - 10*w**6 + 27*w**6 - r*w**2 wrt w?
2040*w**3
What is the first derivative of 2*j**2 - 44 - 6*j + 147*j**3 + 6*j - 104*j**3 wrt j?
129*j**2 + 4*j
Let o(u) be the second derivative of 239*u**6/30 + u**3 + 2*u**2 + 477*u. Find the second derivative of o(h) wrt h.
2868*h**2
Let g(x) be the third derivative of -12*x**7/35 + x**4/24 - 49*x**3/6 - 3*x**2 - 18. Find the second derivative of g(u) wrt u.
-864*u**2
Let f(b) = -21*b**4 + 12*b**3 + 16*b**2 - 18*b + 3. Let k(p) = -p**4 | {
"pile_set_name": "DM Mathematics"
} |
he biggest value in -0.1, -103.1, -2/5, -14?
-0.1
Which is the smallest value? (a) 9 (b) 5758 (c) -3
c
What is the fourth biggest value in 13/6, 0.08, 2/3, 2/171?
2/171
Which is the biggest value? (a) -1085 (b) 52 (c) -16
b
Which is the second smallest value? (a) 0.5 (b) -4 (c) -1352/5
b
What is the fourth biggest value in -0.09, -5, 2/5, 5, -3/10?
-3/10
Which is the smallest value? (a) -45 (b) 194 (c) 5 (d) -4
a
What is the second biggest value in 0.5, 36, -1, 18, 2?
18
Which is the third biggest value? (a) 1.29 (b) -5.1 (c) -0.3
b
What is the second biggest value in 1/4, -0.3, 257970, -0.2?
1/4
Which is the second biggest value? (a) 4 (b) 0.4 (c) 3 (d) -13 (e) -7/3
c
Which is the fourth biggest value? (a) -0.1 (b) -30 (c) 1 (d) 11
b
Which is the smallest value? (a) 102 (b) -4/5 (c) 7/46
b
What is the fifth smallest value in 3/46, 1, 1/39, -1, -5?
1
What is the smallest value in -7/2, 1/4, 2/87, -0.4, -2?
-7/2
What is the fourth smallest value in -1/3, -0.04, 369, -8/7, 1?
1
Which is the third smallest value? (a) -1.6 (b) 70 (c) -2 (d) -3/7 (e) 0
d
Which is the second smallest value? (a) -321 (b) -2/9 (c) -4 (d) -38
d
What is the fourth biggest value in -5, -3, -4/187, 13?
-5
Which is the biggest value? (a) -0.2 (b) -1 (c) 5 (d) -0.02
c
Which is the fourth biggest value? (a) 5 (b) 1/3 (c) -3/13 (d) 242
c
Which is the smallest value? (a) 0.4 (b) -0.18947 (c) -5
c
What is the smallest value in -2/5, 4, 3/5, 0.4, 20/9, -1/5?
-2/5
Which is the third biggest value? (a) -3/25 (b) 0 (c) -2.8 (d) 5 (e) 40
b
What is the biggest value in 4, -36, 3, -0.5?
4
Which is the third biggest value? (a) -0.2 (b) 2 (c) -14 (d) 3/187
a
Which is the smallest value? (a) -0.34 (b) -0.2 (c) 0.08 (d) -0.37
d
What is the biggest value in 4, -0.26, -4/9, -1?
4
Which is the smallest value? (a) -20 (b) 0.1 (c) -1/5 (d) 0 (e) 76
a
Which is the third biggest value? (a) 1/2 (b) -2/9 (c) 0.067 (d) 0 (e) -6 (f) 2
c
What is the biggest value in 3, -2, 0.07, -2/33?
3
What is the biggest value in -5/3, -2/9, -10970, 3/2?
3/2
What is the fourth biggest value in 0.4, 1883, -1, -0.05, -0.3?
-0.3
What is the fifth biggest value in -0.2, -12, 5, -0.3, -76?
-76
What is the fourth smallest value in -0.17, 2/11, -5, 4.1?
4.1
What is the third smallest value in 4239, 0.1, -2/7, 2/7?
2/7
Which is the fifth smallest value? (a) 2 (b) -1 (c) 0.1 (d) 0.0981 (e) -1/7 (f) 4
a
Which is the third biggest value? (a) 0.5 (b) -0.0103 (c) -9
c
What is the biggest value in -1, 2, 5, -3, 24, 3.61?
24
What is the fourth smallest value in -105/8, -4, -6, -30, 1/2, 3?
-4
What is the smallest value in -2/11, 26/69, 4.8?
-2/11
Which is the smallest value? (a) 221.7 (b) -0.101 (c) 0.3
b
What is the biggest value in 4, 42/13, -1, 5, -3, 39?
39
What is the third biggest value in -443, -2, 0.09, -4/7, -0.5?
-4/7
What is the fourth smallest value in -13, 1, 855, 3/5, 0, -7/9?
3/5
What is the third smallest value in 1/401, 0.2, 2, 215?
2
What is the smallest value in 11, 523.71, -1?
-1
What is the second smallest value in 0.1, -1/7, 266, -1, -2?
-1
What is the third biggest value in 0.3, 4, -3433, -2?
-2
What is the second smallest value in -0.044, -127.7, -2/15, 0.3?
-2/15
Which is the sixth biggest value? (a) -2/3 (b) 0 (c) -0.5 (d) 0.489 (e) 1.1 (f) -1/5
a
What is the fifth biggest value in 2, -4, 28/9, 5, 3, -1/15?
-1/15
What is the second biggest value in -3210, -4, 16?
-4
Which is the third biggest value? (a) -5 (b) 1/17 (c) -1332
c
Which is the biggest value? (a) 1/2 (b) -6/13 (c) 2/87
a
Which is the third biggest value? (a) -5 (b) -1.125 (c) 8
a
What is the second smallest value in -3/7, -102/1531, 1?
-102/1531
Which is the second biggest value? (a) 321 (b) -3 (c) 2
c
Which is the smallest value? (a) 3 (b) 1 (c) 1/13 (d) 17
c
Which is the fifth smallest value? (a) 161 (b) 2 (c) 2/9 (d) 13 (e) 1 (f) 4/3
d
What is the fifth biggest value in -8, 74, 1/4, 1.4, -4, 0.5?
-4
Which is the third biggest value? (a) 14805 (b) -1 (c) 3/5 (d) 2/11
d
Which is the third smallest value? (a) 0.266 (b) -1 (c) 266
c
What is the biggest value in 0.2, 35, -2445?
35
Which is the third biggest value? (a) 5 (b) 2 (c) -0.1361 (d) -43 (e) -1/8
e
What is the smallest value in -1/10, 0.2, -2/41, 1630?
-1/10
What is the third smallest value in -32, -1205, -0.3?
-0.3
Which is the third smallest value? (a) -1/2 (b) 2/11 (c) -5954
b
What is the second biggest value in -9.5, 0, -204/13?
-9.5
What is the second biggest value in 5, 0.3, 38.756?
5
What is the third biggest value in 1.8, -54, -13?
-54
Which is the second smallest value? (a) 0.4 (b) -266 (c) 2/37
c
Which is the second smallest value? (a) -2/11 (b) 0.5 (c) -201.1 (d) -2
d
What is the third smallest value in 0.5, -0.07429, -1, 6, 0.1?
0.1
What is the third smallest value in 2/19, 1.31225, 1, -0.2?
1
Which is the sixth smallest value? (a) 0.1 (b) 0.3 (c) -0.1 (d) -100/9 (e) -0.4 (f) -1.4
b
What is the second smallest value in -5, -1/2, 241206?
-1/2
Which is the third smallest value? (a) 0.19 (b) -0.4 (c) 12/49
c
Which is the biggest value? (a) -3 (b) -33056 (c) 1
c
Which is the smallest value? (a) 1/6 (b) -56 (c) -2 (d) -8
b
What is the third smallest value in -3/1001, 4, -2/3, -2/9?
-3/1001
What is the fourth smallest value in -1/3, 32, 0.4, -0.0317, 4, -0.1?
0.4
What is the biggest value in -0.5, 17, -23, 1/3, -2/11?
17
Which is the third biggest value? (a) -5 (b) 0.4 (c) 0.3 (d) 35/2 (e) 0.03
c
Which is the third smallest value? (a) -4 (b) -10 (c) -5 (d) -2/5 (e) 4 (f) 1/115
a
What is the second smallest value in 13, -2/19, -0.04, -15?
-2/19
Which is the smallest value? (a) -11 (b) -0.2 (c) 0 (d) 2/9 (e) -12
e
What is the third biggest value in -1/5, -1/14, -0.3, -8, 5.5?
-1/5
What is the smallest value in 2/193, -3, -10?
-10
Which is the fifth smallest value? (a) -56 (b) 0.96 (c) 0.3 (d) -0.4 (e) 3
e
What is the third biggest value in 0, 26.4, -6/37, 7?
0
What is the third smallest value in 1, 969, 3/4?
969
Which is the fourth biggest value? (a) -4/3 (b) 1 (c) 575/4 (d) 8 (e) -5
a
Which is the second smallest value? (a) 0.062 (b) 9/4 (c) 0.5 (d) -1
a
What is the second biggest value in -5, 2, 11/2, 86, -3?
11/2
What is the fourth smallest value in 0.5, 0.2, -33.9, -11/5?
0.5
Which is the third smallest value? (a) -1057 (b) -0.5 (c) -33
b
What is the biggest value in 5/3, -2/5, 5, -210/11?
5
Which is the biggest value? (a) 0.3 (b) 145.4 (c) -5
b
What is the fourth smallest value in -1/21, 0.5, 0.0251, -5?
0.5
What is the smallest value in -0.2, 4, 0.2, 35184?
-0.2
What is the second biggest value in -2/5, 5, -15, -47?
-2/5
Which is the second smallest value? (a) 491 (b) -7 (c) 4 (d) 3/5 (e) 3/8
e
What is the second smallest value in 2/5, 0.039, 0.1, -1?
0.039
Which is the biggest value? (a) 4 (b) -5/2 (c) -6/11 (d) -344
a
What is the fourth smallest value in 5, -1, 5446, 4/9, -19?
5
Which is the second biggest value? (a) -277 (b) -23 (c) 9
b
Which is the third biggest value? (a) -0.1 (b) -0.4 (c) -10505 (d) -0.3
b
Which is the third biggest value? (a) -94 (b) 0.1 (c) -0.2 (d) 350/3 (e) 2/11
b
What is the third biggest value in 0.1, 1, 23226?
0.1
Which is the fourth smallest value? (a) 2 (b) -452 (c) 1/3 (d) -2 (e) 5
a
Which is the biggest value? (a) -4 (b) 4576 (c) 0.08
b
What is the second biggest value in -4/19, 0.1, -2/235?
-2/235
What is the third smallest value in -140, 0.6, -5.5?
0.6
What is the third smallest value in -15/7, -1, -1/4, 6, -34?
-1
Which is the second biggest value? (a) -2 (b) 4 (c) -5/2 (d) -1 (e) 118
b
Which is the fourth smallest value? (a) -0.2 (b) -187/15 (c) 0.5 (d) -15
c
What is the biggest value in -0.9, 2, 5, -2/15, -9.6?
5
What is the third biggest value in -0.04, 5.6, -182?
-182
Which is the fourth biggest value? (a) 0.2 (b) -5 (c) 1/3 (d) 97 (e) 3/4 (f) 4
c
What is the sixth smallest value in 0.2, 1/22, -4, -2, 0, -35?
0.2
Which is the third biggest value? (a) -0.4 (b) 3/2 (c) -4/25 (d) 0.02 (e) 3
d
What is the second biggest value in 0.4, -2/25, -0.2692, 13?
0.4
What is the second biggest value in 0.08, -4, 4 | {
"pile_set_name": "DM Mathematics"
} |
th biggest value in w, -6, -4, -0.2?
-6
Let h = -81 - -76. Which is the second biggest value? (a) h (b) 33 (c) 1
c
Let c = -26 - -21. What is the third biggest value in 4, c, 0.2?
c
Let a(p) = -p**2 + 18*p + 171. Let f be a(-7). What is the second smallest value in -22, -0.2, f?
f
Let b = -187/70 - -21/10. Let w = 0.62 - 2.62. What is the fourth smallest value in 3, w, b, -3?
3
Let n be (-1)/8 - 31/(-120). Let o = -4/45 - n. Let l = 3 + -6. What is the second biggest value in o, 5, l?
o
Let d = 84 + 60. Let i = -142 + d. Which is the third biggest value? (a) -3 (b) -5/2 (c) i
a
Let j(f) = 33*f - 14*f - 20*f + 21. Let h be j(18). Let u = 109/310 + 3/62. Which is the biggest value? (a) h (b) 0.5 (c) u
a
Let u = -35 + 111. Let o = -78 + u. Which is the fourth biggest value? (a) o (b) 0.5 (c) -0.1 (d) 4
a
Let p be -2 - -1 - 3*(-5)/(-15). Let n be (p - 5/(-4))/(0 - -1). Let g = -112/559 - -2/43. Which is the second biggest value? (a) n (b) 0.5 (c) g
c
Let h = 163 - 163.2. What is the smallest value in h, -14, -1?
-14
Let j = 10 - 14. Let z be (-3)/6 - 1/(j/46). Which is the second biggest value? (a) -0.4 (b) -2 (c) z
a
Let w = -961.2 + 961. Let u be 1/2*2 - 13. Let f be 12/2*16/u. What is the third biggest value in -3/7, f, w?
f
Suppose 5*p - 140 = 5*f, 4*f + 62 = -3*p + 5*p. Let u = p - 28. Let m = 14 - 9. Which is the third biggest value? (a) u (b) -4 (c) m
b
Let u = 10665.7 - 10666. Let b = 1.87 - -2.18. Let y = -0.05 + b. What is the smallest value in y, u, -2/9?
u
Let d = -0.104 - -4.104. What is the biggest value in -0.5, d, -3/4?
d
Let q = -49.57 - -50. Let i = q - 2.43. Which is the second smallest value? (a) 9 (b) 4 (c) i
b
Let g be (-16)/6 + (-2)/6. Let j(z) = 172*z + 2. Let r be j(0). What is the third biggest value in r, -1, -4, g?
g
Suppose 0 = -3*z - z. Let o = -42.4 + 37.4. What is the second smallest value in o, 5, z?
z
Let s be 2 + 0 - ((-1011)/(-4) - 1). Let b = -251 - s. What is the smallest value in 5, -3, b?
-3
Let y = 63 - 149. Let m = y - -52. Let h = m - -33.92. Which is the third smallest value? (a) -0.3 (b) 3/5 (c) h
b
Let j = 0.19 - 1.19. Let x be ((-168)/(-133))/((-6)/(-4)). Let q = 28/57 + x. What is the third biggest value in j, q, -3?
-3
Let p be (-14 + 24)/(-5) + 16/10. Which is the fourth smallest value? (a) 1/4 (b) 2/23 (c) 1/2 (d) p
c
Let x = -368 + 366. Let m = -0.3 + -4.7. Let g = m + 9. Which is the third biggest value? (a) x (b) g (c) -1
a
Let n = -6 + -17. Let m = -18 - n. Let p be (-2)/((-14)/(-9)) - -1. What is the second biggest value in m, p, 0.3?
0.3
Let w = -0.47 - 0.03. Suppose 2*c = -2*c - 4*n - 28, -4*n = -5*c + 1. Let u be 4/c + (-2)/(-2). What is the biggest value in 4, u, w?
4
Let k = -0.301 + 2.301. Which is the second biggest value? (a) 3 (b) -0.6 (c) k (d) -0.1
c
Let m = -6.31 - -1.31. What is the smallest value in -2, -3, 0.1, m?
m
Let j = -113/8 - -14. Let o be ((-1)/(-7))/(7/(-42)). Let p = -31/28 - o. What is the second biggest value in p, 3/8, j?
j
Let h = 77 + -76. Which is the smallest value? (a) h (b) -4 (c) -5 (d) 36
c
Let a = 91.3 + -101. Let i = a + 10.2. What is the third smallest value in 2/45, -2, i?
i
Let i = 37.03 + -0.03. Let u = 32 - i. Which is the biggest value? (a) 0.5 (b) -1/3 (c) u
a
Let f = -12.1 - -12. Let v = -21 - -24. Which is the smallest value? (a) 3/8 (b) f (c) v
b
Let o = -101.9 + 102. Let q = -0.43 + 0.03. Which is the smallest value? (a) o (b) 4/3 (c) -1 (d) q
c
Let t = 0.9 - 1. Let w = 0.22 + -0.02. What is the third smallest value in t, w, 0.4?
0.4
Let m = 0.3 - 0.1. Suppose -2*t = 4*o + 10 + 4, 17 = 5*t - 3*o. Suppose j + 0*j = -2. Which is the third smallest value? (a) t (b) j (c) m
a
Let u = 3 + -3.044. Let p = u - 0.956. Which is the second biggest value? (a) -2 (b) -0.3 (c) -3 (d) p
d
Let r = -1.5 + 1. Let g = -32200 + 32200. What is the second biggest value in g, -2/23, r, -5?
-2/23
Let t = -77/18 - -421/90. Let v = 4 + -4.5. What is the third smallest value in -1, v, t, -1/4?
-1/4
Let s = 3.08 + -36.08. What is the biggest value in 4/3, -0.2, 0.2, s?
4/3
Let d be (-2)/20*(-4 + 6)*-28. Which is the second biggest value? (a) d (b) -2 (c) 4
c
Let t = 240.1 - 242.1. Which is the third smallest value? (a) t (b) 0.55 (c) -2/11
b
Let r = 0.1 - 0.1. Let s = -5 - -5. Let i = s - r. Which is the biggest value? (a) 3/2 (b) i (c) -4
a
Let w = 26 + 22. Suppose 5*q = 9*q - w. Suppose 4*t - x = q, -2*x + 40 = 5*t + 3*x. Which is the third smallest value? (a) t (b) -1/3 (c) -5
a
Let z be (-231)/(-66) - (-3)/(-2). What is the second smallest value in 5, z, 9?
5
Let a = 50 + -53. Let i = 22 - 87/4. What is the second biggest value in i, a, 0.5, -2/7?
i
Let f = -70.33 + 71. Let p = f - -8.33. Which is the second biggest value? (a) 5 (b) -1/2 (c) p
a
Let c = -227.1 - -227. What is the smallest value in 9, 4, c?
c
Let h be (-40)/96 - (85/(-15) + 5). What is the second biggest value in -2, 5, h, -1?
h
Let t = -14.4 - -123.4. Let z = -108.98 + t. Let k = 73/3 - 24. Which is the biggest value? (a) z (b) k (c) -2/13
b
Let d = -99 + 98. Let q be (4/(-56))/((-1)/(-4)). What is the second smallest value in -3, q, d?
d
Let p = -23 + -15. Let g = 37.8 + p. Which is the third biggest value? (a) 4 (b) g (c) -6/7
c
Let f be (1272/10)/4 + -2. Let m = -29 + f. Let o = 6.75 + -1.75. Which is the second smallest value? (a) o (b) m (c) 3
c
Let y be (-329)/63 + 4/18. Let h = 0.17 + 0.83. Which is the second biggest value? (a) y (b) h (c) 4/5 (d) 0.2
c
Let m = -0.2 - -0.2. Let h = 0 - m. Let k = -2 + 4. Which is the smallest value? (a) k (b) -0.1 (c) h
b
Let r = 61 - 65. Which is the third smallest value? (a) -1/3 (b) 5/3 (c) r (d) -1.5
a
Let s = -30.005 + 0.005. Suppose 4512*m = 4502*m - 10. Which is the biggest value? (a) s (b) 0.1 (c) m
b
Let t = -5.3 - -25.3. Let w = 20.1 - t. What is the second smallest value in -0.5, -2/3, w?
-0.5
Let a = 149/2581 - 2/29. Let n = 226460 + -40310145/178. Let t = n + a. What is the smallest value in t, -1/6, 4?
t
Let d = -327 + 329. What is the third biggest value in 4/5, d, -7.8?
-7.8
Let j(z) = -2*z**3 - 2*z**2 + 18*z - 18. Let h be j(1). Suppose -3*l + 4*l = 1. Which is the second smallest value? (a) l (b) 3 (c) h (d) 1.2
a
Let k be -1 + 8 + (-5893)/781. What is the third smallest value in -2/11, k, 5/3, 4?
5/3
Let p = -107 - -197. Let q be -3 - (11/(-2) - p/60). Let n be -3*(8/18)/(-2). Which is the second smallest value? (a) n (b) -1 (c) q
a
Let n = 8.8 - 8.8. What is the second smallest value in -50, -3, n?
-3
Let n(r) = -r**2 + 7*r - 6. Let v be n(6). Let t = -4 + v. Let g be t/((-96)/(-9))*-4. Which is the smallest value? (a) -1 (b) g (c) -3
c
Let q be ((-2)/8)/((-2)/8). Let h = 0.8 + -2.4. Let u = h - -1.8. Which is the third biggest value? (a) q (b) -3/5 (c) u
b
Let f = 263.8 - 264. Suppose 4*r = -4*i + 4, -5*i + 1 = 3*r - 0. Let p(k) = 4*k - 3. Let g be p(r). Which is the third smallest value? (a) f (b) 3 (c) g
c
Suppose -t - 8 = -3*s, -t + 6*s = s. Let r be (2/(-8) - (-35)/t)/(-6). What is the second smallest value in r, 0.2, -3/4, -18/7?
-3/4
Let u = 0.024 + 2.976. Let r = -0.4 + 0.3. Let o = -0.07 - 4.93. What is the third biggest value in o, u, r?
o
Let f = -1 - -3. Let p = 1776 - 8881/5. Let u be (12/(-88))/(6/8). Which is the smallest value? (a) p (b) f (c) u
a
Suppose -2*z = -5*v + 5 + 2, 3*z = 12. Suppose -v*o - 6 = -r, r + 9*o + 10 = 4*o. What is the fourth smallest value in r, -3, -2/13, -0.3?
r
Let q = -0.6 + 0.1. Let x be -1*(1 - 2)/1. Let u = 1124 + -1124.1. Which is the second smallest value? (a) q (b) u (c) x
b
Let j = -8 + -6. Let x be (12/j)/(32/(-28)). Which is the second smallest value? (a) x (b) 5 (c) -3
a
Let k = 1.37 + -1.4. Let q be 4/(-6)*-4*(-3)/36. Which is the third smallest value? (a) k (b) q (c) 2/13 (d) -0.2
a
Let i(f) = f - 2*f + 0*f + f**2 - 1 - 2*f. Let s be i(5). Let g be (-6)/s*3/2. Which is the third smallest value? (a) -0.5 (b) g (c) 0.3
c
Suppose 4*k = -54 - 2. Let b be (-86)/k + -2 + -4. What is the third smallest value in b, 2, -1/5?
2
Let o = -146 + 165.4. Let r = -20 + o. Which is the second biggest value? (a) -0.4 (b) r (c) 1 (d) 2/3
d
Let c = -2 - 1. Let l = 419 - | {
"pile_set_name": "DM Mathematics"
} |
5*p - 27*p + 2) + (-2*p + 5*p - 2*p)*(5*p - 3*p - 4*p) - p + p**2 + p.
575*p**2 + 18*p
Expand (3*v - 1 + 1)*(186 + 5*v**2 + 26 - 15).
15*v**3 + 591*v
Expand (s - s + s**3)*(-5*s**2 + 0 + 0) + 2 - 2 + s**5 - 27 + 27 - 8*s**5 + 0 + 0 - s**5 + (-3 + 5 - 1)*(-4*s**5 - s**5 + 3*s**5) + 2*s**5 - 5*s**5 + 7*s**5.
-11*s**5
Expand (0*k**2 + 2*k**2 - k**2 - 15*k**2 - 8 + 8 + (1 + 1 + 0)*(-2*k**2 - k + k))*(-24*k + k + 19*k + 4).
72*k**3 - 72*k**2
Expand -2*g + 2*g - 2*g**2 + (3 - 3 - 2*g)*(0*g + 2*g - 4*g) + 0*g**2 + 3*g**2 - g**2 - 3*g**2 + 3*g**2 - g**2 + (-g + 14 - 12 + 20*g)*(-6*g + 4*g - 12*g).
-263*g**2 - 28*g
Expand (57 - 57 - 26*s)*(-1 + 5 - 2)*((2*s + 0*s + 0*s)*(-1 - 1 + 0) - 40 + 34 - 2*s - s).
364*s**2 + 312*s
Expand (-1 + 1 - z**3)*(-2*z - 4 + 4)*(-2*z + 3*z + z) + (4*z**4 - 5*z**4 - 4*z**4)*(60*z - 17*z + 20*z).
-311*z**5
Expand (-z + 2*z - 3*z)*(-6 + 9 + 10) + 44 + 45 + 16*z - 90.
-10*z - 1
Expand (7*w - 4*w - w)*(3 + 2 + 0 + 2 - 1 - 2 + (6 - 3 - 4)*(-1 - 4 + 6) - 4 + 0 + 2 + (-2 - 1 + 0)*(6 - 52 - 42)).
530*w
Expand ((-3 - 2 + 3)*(-4 - 2 - 2) + 5 - 2 + 0)*(6*j - 21 + 21).
114*j
Expand (157*j**3 - 75*j**3 - 30*j**3)*(0*j**2 - 3*j**2 + 4*j**2 + (3 - 3 - 2*j**2)*(-1 - 2 + 4)).
-52*j**5
Expand 284335*t + 3 - 3 - 284335*t - 6693*t**2 + 0 - 2*t**2 + 0 + 5*t**2 - 3*t**2 + 0*t**2 + (0 + t + 0)*(2 + t - 2).
-6692*t**2
Expand (13 + 219 + 8)*(-4*c - c - 5*c).
-2400*c
Expand (20*p**2 + 13 - 13)*(-3 - p + 2 + 2*p)*((1 - 1 + 2)*(-4*p + 2*p + p) - 3*p + 6*p - 2*p)*(133*p + 4 - 70*p - 66*p).
60*p**5 - 140*p**4 + 80*p**3
Expand -7230 - 13741*u**3 + 4579*u**3 + 4581*u**3 + 4583*u**3 - 5*u**3 + 2*u**3 + u**3 + 2*u**3 + u**3 - u**3 + (3*u**2 - 6*u**2 + 4*u**2)*(u + u - u).
3*u**3 - 7230
Expand (-3712*h - 18656 + 18656)*(-2 + 4 - 1).
-3712*h
Expand (11830*c + 11887*c - 23425*c - 7)*(-2*c**4 + 2*c**4 + c**4).
292*c**5 - 7*c**4
Expand (-9*o + 25*o + 2*o)*(-2*o + 5*o - 2*o + (-2 + 1 - 1)*(-4 + 4 + 2*o) - 11*o + 7*o - 10*o + 3*o - 2*o - 2*o + o - 5*o + 3*o)*(2 - 5 + 1).
684*o**2
Expand (-2 + 1 - 1)*(4738*c + 9399*c - 5465*c + 6080*c).
-29504*c
Expand (3 + 8 + 40)*(-5 + 4 + 0)*(-4*l**3 + l**3 - l**3).
204*l**3
Expand t**3 + 2*t**3 - 4*t**3 + (-4*t**2 + 4*t**2 + 6*t**2)*(4*t - 4*t + 5*t)*(12 + 5 + 9).
779*t**3
Expand (8*v + 13 - 13)*((-5 + 1 + 3)*(-2 + 3 - 4) - 1 + 2 + 0) + (0*v - 3*v + 0*v)*(24 + 19 - 18).
-43*v
Expand (-22*k**4 + 2*k**4 - 9*k**4)*(-8*k - 9*k - 22*k).
1131*k**5
Expand -5*i**3 + 5*i**3 + 2*i**5 + (i**5 - 3*i**5 + i**5)*(-2 + 1 + 0) - i**5 + 2*i**2 - 2*i**2 - 67*i**2 - 7364*i**5 - i - 2*i**2 + 7365*i**5 - i**4.
3*i**5 - i**4 - 69*i**2 - i
Expand (-4 + 1 + 0)*(-j + 2*j + 0*j)*(-1 + 2*j**3 - 1 - 3*j**3) + 3*j**4 + 0 + 0 + (j**3 - 5*j**3 + 2*j**3)*(0 - j + 0) + 2*j**4 + 3*j**4 - 2*j**4.
11*j**4 + 6*j
Expand (-4 - 3 + 4)*(q**5 + 672*q**4 - 335*q**4 - 356*q**4).
-3*q**5 + 57*q**4
Expand (3*k + 4*k - 4*k)*(5 - 3 - 3 - 2 + 1 - 1 + (1 - 3 + 1)*(1 - 1 - 1) - 1 + 1 - 3)*(-15 - 4 - 7)*(-3 - 3 + 5)*(-27*k + 11*k + 6*k).
3900*k**2
Expand (-8 - 5*o + 8)*(-3 + 6 + 16) - 4 - o + 4 - 6*o + 2*o + 2*o + 7*o - 3*o + 4*o.
-90*o
Expand (-5*y + 2*y + 0*y)*(2500*y + 256*y**3 + 433*y**3 - 2502*y).
-2067*y**4 + 6*y**2
Expand -2*r - 2*r + 3*r + (5*r + r - 3*r)*(0 - 1 + 3) + 1736 - 1736 + 338*r + (r + 2 - 2)*(-2 + 2 - 1) - 1 + 1 - r.
341*r
Expand (-4*s + s + 0*s)*(10*s + 18*s + s) - 6*s**2 + 0 + 33*s**2 - 1.
-60*s**2 - 1
Expand (-6 + 19 + 9)*(-10 + 4 - 4)*(-r + r - r)*(7*r + 12 - 12).
1540*r**2
Expand (-39*r - 43*r + 26*r)*(36 - 39 - 51)*(-2*r**4 - 2*r**3 + 2*r**3).
-6048*r**5
Expand 1218825 + 1903*s - 1218825 + (6 - 1 - 3)*(3*s + 0*s - 5*s) + 2*s - s + 0*s + (-s + 1 - 1)*(0 + 1 + 0).
1899*s
Expand 0*m + 0*m + 2*m**3 + (2*m + m**2 - 2*m)*(0*m + 0*m + 2*m) + (6*m**2 + 28*m**2 + 7*m**2)*(-18*m + 22*m - 11*m) + 8*m**2 - 8*m**2 + 8*m**3.
-275*m**3
Expand (-2*q**2 + 2*q**2 - q**3)*(-1897 - 616 - 1875)*(2 - 2 - 1).
-4388*q**3
Expand (-19 + 8*c + 19)*(-4 + 1 - 4) + 4*c - 7*c + 4*c + (-5*c - 2*c + 2*c)*(-2 + 1 + 2).
-60*c
Expand (3*m - 70*m - 48*m - 110*m)*((1 - 1 - 1)*(1 + 0 - 2) + 8 - 9 + 11).
-2475*m
Expand (2*h + 2*h - 2*h + (-4 + 4 + 4)*(2*h + 0*h - h))*(131 - 218*h - 131).
-1308*h**2
Expand (2*v - v + v)*(0*v - 2*v + 0*v) - 601*v**2 - 187*v**2 - 249*v**2.
-1041*v**2
Expand (37 + 115*w - 37)*(2*w**2 + 2*w - 60*w**2 - 4*w).
-6670*w**3 - 230*w**2
Expand 106*i**5 - 640*i**2 + 640*i**2 + (-2 + 2 - 2*i)*(2*i**4 + i**2 - i**2) - 391*i**3 + 391*i**3 - 43*i**5.
59*i**5
Expand (1821 + 1353*w - 1821)*(-15*w - 45 + 45).
-20295*w**2
Expand (-2 - 2*h + 3 - 2)*(-961 - 462*h**2 - 990 + 1945 - h).
924*h**3 + 464*h**2 + 13*h + 6
Expand (0 + 2 + 0)*(-7 - 6 + 4)*(-40 + 2175*i - 7 - 2178*i).
54*i + 846
Expand (-6 + 1 + 3 + 2*s)*(-4*s + 6*s - 3*s)*(2 + 1 - 4)*(-383 + 294 - 420)*(-4 + 4 - 5).
5090*s**2 - 5090*s
Expand ((0 + 3 + 2)*(3 - 6 + 2) + (2 - 2 - 2)*(-2 + 4 - 1) + 3 - 2 - 2)*(2*p - 37 + 37).
-16*p
Expand (0 + 1 + 5)*(0*t - 2*t + 3*t)*(5 + 2 + 20)*(1 + 2 + 1).
648*t
Expand 44*x**4 + 62*x**4 - 7*x**3 - 92*x**4 + (5*x + x**3 - x - 2*x**3)*(5 - 5 + 4*x).
10*x**4 - 7*x**3 + 16*x**2
Expand (5*a + 7*a**3 - 5*a)*(-4*a**2 - 4*a**2 - 77*a**2 + (2*a - 4*a + a)*(-2*a + 2*a - 2*a)).
-581*a**5
Expand (4*f + 6 - 6)*(-2*f - 1 + 1)*(-104 + 76 - 54)*(4*f - 6*f + 3*f).
656*f**3
Expand (1 + 7 - 2)*(3*z - z + 24 - 11).
12*z + 78
Expand (17*x**2 - 74 + 74)*(2 + 2 + 0)*(-6 - 8 - 3)*(-2 - 3 - 1)*(0*x + x**2 + 0*x).
6936*x**4
Expand (-5 - 4*m + 5)*(-326*m - 322*m + 22 + 652*m)*(0*m**2 - 2*m**2 - m**2) + m**3 - 1 - m**3 + 4*m**4.
52*m**4 + 264*m**3 - 1
Expand (2 + 0 - 1)*(35*d**5 - 17*d**5 + 30*d**5 + (2*d**3 - d**3 + d**3)*(-6*d + 5*d**2 + 6*d)).
58*d**5
Expand (-7*k**2 - 12*k + 12*k)*(k**3 + 3*k**2 - 3*k**2) - 12479*k**3 - 119*k**5 + 12479*k**3 + 2*k**5 - k + k.
-124*k**5
Expand ((0*q**2 - 2*q**2 + 3*q**2)*(4*q + 0*q - 2*q) - 4*q + 2*q**3 + 4*q)*(-q + q - 3*q) + 0*q**4 + q**4 + q**4 - 3 + 3 + 6*q**4 + (1 - q**4 - 1)*(4 - 2 - 4).
-2*q**4
Expand ((4 - 2 + 1)*(8 - 1 + 2) + 0 - 1 + 3)*(-y - y + 11*y).
261*y
Expand (-102*j + 20*j - 4*j)*(0 + 5 - 1)*(-6 + 1 - 2).
2408*j
Expand (23265 + 344*j**3 - 23265)*((3 - 2 + 3)*(2 + 0 + 0) - 3 - 3 + 5).
2408*j**3
Expand (j - 28 - 5*j + 3*j)*(5 + 211 + 85).
-301*j - 8428
Expand (2*s - s - 3*s)*(-2*s - 2 + 2 + (2 - 1 - 4)*(20*s - 50*s - 26*s)).
-332*s**2
Expand (365*l - 91*l + 12*l)*(0 + 2 - 5)*(-3*l + 0*l + l).
1716*l**2
Expand y**5 - 3*y**5 + 3*y**5 + (-2*y**4 - 2*y**4 + 3*y**4)*(0 + 0 - 2*y) + y**4 + y**5 - y**4 - 7 + 7*y**5 + 7 + (-3*y**3 + 3*y**3 - 3*y**4)*(2 + 2 - 5 + 9*y).
-16*y**5 + 3*y**4
Expand (-5 + 4 - 4)*(2*h**3 - 5*h**3 + 2*h**3)*(13 - 2 - 4)*(0*h - 4*h + h).
-105*h**4
Expand (2*c + 4*c - 4*c)*(-383 + 13 - 7) - 2*c + 2*c + 3*c.
-751*c
Expand (46 - 34 - 91)*(18*v - 16*v + 20*v).
-1738*v
Expand (-5 - 3 + 3)*(-23*q + 70*q + 111*q)*(0*q + 0*q + 11*q).
-8690*q**2
Expand (-2*x + 0 + 0 + (2 + 1 - 5)*(5 + x - 5))*(0 - 5 - 3)*(-27 + 7 - 223).
-7776*x
Expand (2*m + 2 - 2)*(2 - 2 - 1)*(-3*m - 2*m + 3*m)*(-165207 + 34*m + 165207).
136*m**3
Expand (-8*x - 36 + 36)*(-3*x**2 - 6*x**2 + 2*x**2) - 30 + 30 - 6*x**3.
50*x**3
Expand -171*s**2 + 326*s**2 - 72*s**2 + (-2 + 1 + 2)*(6*s**2 - 2*s**2 - 2*s**2) + (20 - 10*s - 20)*(0*s + 4*s - 2*s).
65*s**2
Expand (3 - 2 - 2)*(1502*b**3 + 4052*b**3 - 545*b**3).
-5009*b**3
Expand 1121 - 1121 - 23*t**2 + 2*t**3 + 0*t**3 + 5*t**3 - 2*t**3 + (279 - 279 + 8*t)*(0*t**2 + 3*t**2 - t**2).
21*t**3 - 23*t**2
Expand -2*w**2 + w**3 + 2*w**2 + (-w + 1 - 1)*(0*w**2 + w**2 - 3*w**2) + (-2*w**3 - w**3 + w**3)*(-2 - 1 + 6).
-3*w**3
Expand (-h**2 + 5*h**2 - h + 0*h - 3*h**2)*(2 - 6 + 2)*(-1137*h**3 + 762*h**3 - 1357*h**3).
3464*h**5 - 3464*h**4
Expand (-3*d + 6*d + 2*d)*(-3 + 4 + 4) + (3*d - d - 4*d)*(5 - 2 + 18).
-17*d
Expand (-3 + 3 - 1)*(-1014 + 596 - 1059)*(2 - 2 - 3*a).
-4431*a
Expand -b**4 - 2*b + 2*b - 2*b**4 + 306 + 392 - 560 + (-b**2 + 2*b**2 + b**2)*(2*b**2 + b - b) + b**4 + 4*b**4 - 3*b**4 + 0*b**3 - 2*b**4 + 0*b**3.
b**4 + 138
Expand (-15*w + 5*w - 17*w + (2*w - 4*w + w)*(-2 + 0 + 0))*(-511*w + 511*w - 337*w**2).
8425*w**3
Expand (0 - 2 + 0)*(2*s - 2*s - s) + 843 + 191*s - 843 + 19 - 7*s - 19.
186*s
Expand v**3 - v**3 - v**4 - 2 + (0 - 2*v + 0 + 3*v + v - 6*v + (1 - 1 + 2)*(0*v - v + 3*v) + v + 3*v - 2*v - v + 4*v - v)*(3449*v**2 + 80*v**3 - 3449*v**2 | {
"pile_set_name": "DM Mathematics"
} |
-7*n - 3*n + 26 = 2*i for i.
3
Solve -1454*b - 173 = -5*n - 1456*b, 3*n + 88*b - 116 = 335 for n.
33
Solve -2*w - 2 = 5 + 9, 252*w - 40 = 4*c + 257*w for c.
0
Solve -4*o + y - 62 = 0, -11*o + 858*y - 159 = 861*y for o.
-15
Solve -15*v + 12*v + 15 = -4*b + 6, 0 = -v + 5*b - 8 for v.
7
Solve 733*h = 738*h - 5*s + 20, 8*h - 3*s + 32 = 0 for h.
-4
Solve 2*f = 5*r - 49, 447*f + 2*r - 46 = 449*f for f.
-22
Solve n = 41302*u - 41303*u - 17, 3*u = -n - 43 for n.
-4
Solve -35 - 31 + 26 = 2*k + 4*m, -20*k + 17*k = -9*m - 15 for k.
-10
Solve 4*u - 8 = -7*m - 0*u, -26*m + 4*u + 40 = -21*m for m.
4
Solve 4*r + 0*r + 2*l = 30, -122*r + 129*r + 3*l = l + 57 for r.
9
Solve -688*v + 343*v - 3*c + 15 = -345*v, 0 = -80*v - 3*c + 495 for v.
6
Solve -2*i - 13*g = -3*i + 69, 5*i - 5*g + 86 = 191 for i.
17
Solve 8*y = 4*g + 68, 2*g + 107 = -2*g + 4*y + 75 for g.
1
Solve 3*w - 11 = -2*z, -2*w - z - 15605868 + 15605875 = 0 for w.
3
Solve 293*g = 288*g - 12*v + 207, -4*g = -5*v + 68 for g.
3
Solve h - 1713*k = -1710*k + 6, 7*k - 12 = -2*h for h.
6
Solve -57*q - 161 = -2*m, 0*q = -5*q + 6*q + 2 + 1 for m.
-5
Solve 0*s + r = -2*s + 3*s - 5*r - 40, 0 = -4*r for s.
40
Solve 529*g = -3*y + 533*g - 10, 0 = 551*y - 547*y + 5*g + 3 for y.
-2
Solve 4*r - 122*b = -472, -6*r - 4*r = -10*r - 5*b + 20 for r.
4
Solve -3*l + l + p = 0, -3*p - 1 = -l - 0*l + 15 - 6 for l.
-2
Solve 4*z - 22 = -l - 2*z + z - 1, 4*l - 875*z = -879*z + 4 for l.
-4
Solve 0 = -4*l - 4*c + 72, 472 = -l + 2*c + 487 for l.
17
Solve w = 5*w + 3*j + 4, 4*j - 114 = -146 for w.
5
Solve -1227*z - 5*d + 101 = -1239*z, 2*d - 38 = 4*z for z.
-3
Solve 3*c - 3204 = -4*v - 3191, -3*c + 2*v = -7 for c.
3
Solve 10*v + 16 = -8*u + 4*u, -5*u + 2*v + 0 = 20 for u.
-4
Solve 11*v = 3*u + 51 - 6, 4*u + v - 14604 + 14570 = 0 for u.
7
Solve 8*v = 3*j + 5*v - 12, -2*j + 3*j - 22 = -5*v for j.
7
Solve i + 5*u = 7 + 89, -73*i + 66*i - 6*u = -121 for i.
1
Solve -d + 4*y - 28 + 39 = 0, -21*y = -5*d + 6*y - 26*y + 55 for d.
11
Solve 46*m - 91*m - 3 = -43*m + 5*n - 38, m = 73*n - 360 for m.
5
Solve -241797*w - 3*t = -241795*w + 12, 12 = -3*w - 3*t for w.
0
Solve 5*b + 3*r = 17, 57*b + 3*r = 9*b + 53*b + 7 for b.
1
Solve 4*x - 20 = d + 154 + 66, -3*x + 180 = 0 for d.
0
Solve 0 = -3*s + 51*f + 2*f + 83, -6*s + 3*f = -63 for s.
10
Solve -2*j = 3*k + 53, 5*j + 30 = -0*j - k + 8 for j.
-1
Solve 0 = m - 2*f - 13, -m - 3*f - 92 = -4*m - 74 for m.
-1
Solve 22*n - 27*n + 14 = -3*j, 0 = -3*j + 698*n - 704*n + 30 for j.
2
Solve 10*d - 2559*u = -2554*u + 5, 2*d = -u + 11 for d.
3
Solve o = -h, h + 75 = -35*o + 7 for o.
-2
Solve 9 = 80*x - 77*x, -3*a - 48 = -4*x - 9*x for a.
-3
Solve -2*m - 20 = 2*k, 0 = 5*k - 1000*m + 1004*m + 46 for k.
-6
Solve 2*c - 2373*k + 800*k + 788*k - 20 = -791*k, k = -11*c - 50 for c.
-5
Solve -15*f + o - 259 = 15*f - 52, 0 = 3*f + 5*o + 36 for f.
-7
Solve -d = 3*v - 15, -27356*d + 27352*d - 310 = -62*v for v.
5
Solve 14*t - 86 = 12*k - 15*k - k, 4*t - 17*t + 53 = -3*k for t.
5
Solve 23*n - 4*h = -15*n + 33*n - 101, 10*h + 2 = -0 - 8 for n.
-21
Solve -16 = 4*u - 2*u - 4*j + 3*j, -11781 = 8*j - 11765 for u.
-9
Solve 0 = -5*a + 5*f + 7 - 2, 4*a - 9070 = 5*f - 9067 for a.
2
Solve -1674 = -5*p + 93*r, -2*p + 4*r - 98163 = -98235 for p.
0
Solve -113*t = -106*t + 3*b + 70, -34 = -3*t + b for t.
2
Solve w - 91 = -4*t, -3*w + 280126 = 280129 for t.
23
Solve 15*w + 12*z + 381 = 9*z, -5*z = -3*w - 65 for w.
-25
Solve 4*a - 19*d + 162 = 432, 33*a = 68*a - 34*a + d + 13 for a.
1
Solve 0 = -5*x - 2*t + 10, -t - 42 = 81513*x - 81516*x - 14 for x.
6
Solve 2*v + 20*d - 94 = 0, -17*d = -5*v - 6*d - 16*d + 10 for v.
-3
Solve 8*k + 103 = -62*k + 3*d, -13 - 47 = -4*k + 3*d - 97 for k.
-1
Solve 4*l - 2*b + 60 + 26 = 0, -39 = -28*l - 7*b + 52 for l.
-5
Solve -2*n - 83*j + 19 = -n - 88*j, 4*j + 50 = -5*n for n.
-6
Solve 2 = 7*f + 5*x + 11, 7*f - 858*x = -857*x - 15 for f.
-2
Solve 0 = 12*p + 4*p - z - 20, -2*p - 10 = z - 26 for p.
2
Solve 2*o - 21 = -q, 562*o = 568*o + q - 41 for o.
5
Solve 3*k = -3955*a + 3953*a - 8, -6*k - a - 31 = 0 for k.
-6
Solve 27039*n - 66 = 27043*n + 10*c - 0, -n = -5*c - 36 for n.
1
Solve -5*q - 40 = 0, -5*q + 852 = -4*t + 880 for t.
-3
Solve 5*y = -4*b - 9332 + 9223, -2*b - 48 = -4*y for b.
-26
Solve 0 = -3*j + 5*n - 3, 12*j - 3*j - 2*n - 6 = 6*j for j.
4
Solve -15717894*w + 37 = 3*n - 15717889*w, 44 = 3*n - 2*w for n.
14
Solve 88 = 22*q, -188*m - 2*q + 21 = -201*m for m.
-1
Solve -64 = 4*h, -15*h = 2*o - 143 + 841 - 312 - 140 for o.
-3
Solve 2*q = 1267*w - 1272*w + 85, 3*q + 51 = 3*w for q.
0
Solve 0 = 4*s - a + 7, 11473 = 53*s - 57*s - 3*a + 11526 for s.
2
Solve -3*m - m + z = 117, m - 210*z + 27 = -212*z for m.
-29
Solve 1536*c - 1540*c - 2*p = 3*p + 6, 8*c = -2*p - 34 + 6 for c.
-4
Solve -2*l = 5*g - l - 248, -3*l = g - 21272 + 21214 for g.
49
Solve 0 = -l - 2*u, -5*l = -7583*u + 7578*u for l.
0
Solve 10*x - 9*x + 42 = 3*a + 5*x, -11*a - x + 12*x = 77 for a.
2
Solve -4*n - 2*h + 37 = 47, -4*n - 3*h - 1958 + 1953 = 0 for n.
-5
Solve 17801*l - v + 7 = 17806*l, 16*v - 35 = -3*l for l.
1
Solve -w - n = -13, 6645*w - 6646*w - 3*n = -6*n + 27 for w.
3
Solve -2 = -69*l + s, -3*l + 13*s - 8*s + 15 + 13 = 18 for l.
0
Solve -5*a - 71 = -8*j, -2*j = -101*a + 105*a + 40 for a.
-11
Solve 9*a + 26 = -2*c - 39 - 17 + 19, 4*a + 12 = -3*c - 16 for a.
-7
Solve 8*f + 6*t + 132 = 0, 5*f - 2*t + 25 = -2*t + 5*t - 40 for f.
-15
Solve 6*z + 2*z + x - 12 = 3*z, -2*z - 168*x + 340 = 0 for z.
2
Solve 3*y - 29 - 51 = -2*y - 11*n, 7*n = -2*n + 7*n - 0*n + 10 for y.
5
Solve -4*i + i + 54*s + 6 = 59*s, 4*i = s + 8 for i.
2
Solve 39*h - 78*h - 5*q - 561 = -42*h - 20*q, -4*h - 3*q = -102 for h.
-3
Solve -1354*q - 3*s = -1355*q + 16, 5*q = 8*q - 11*q + 6*s + 74 for q.
7
Solve 9*c + 2*z = -155, 0 = -5*c - 4255*z + 4251*z - 89 for c.
-17
Solve -12*w = -5*u + 204, -35*u + 31*u - 2*w = 37 - 3 for u.
0
Solve 0 = -5*c + 3*u - 308, 2634 - 2454 = -4*c + 19*u for c.
-64
Solve -2*x - 53 = -5*i, -5*x - 129*i = 106*i - 221*i - 159 for x.
1
Solve 6*l - 9*l = -32*m + 1370, -10*l + 15*l = 5*m - 205 for l.
2
Solve 13*h - 8*h = 0, 6*q = 5*q + h - 12*h - 1 for q.
-1
Solve 3*n = 4*o + 29, -998*o - 10*n - 12*n + 144 = -993*o for o.
-2
Solve -16*v + 53 = g, 4*g + 3368 - 3412 = -8*v for g.
5
Solve -5*y + 3*y + 208 = 6*u, 4 = -5*y + 4*y - 0*y for u.
36
Solve -5*j - 5*v + 46 = -2*j, -j + 10 + 2 = 2*v - 6 for j.
2
Solve 324 - 288 = 3*u - 2*a, 0 = -4*u + 5*a + 55 for u.
10
Solve -10*n - 7*n - 3 = -16*n - i + 1, 2*n - i + 3 = 0 for n.
1
Solve 3*z + 0*z - 3*r = 27, -3*z - 492 + 415 = 5*r for z.
-4
Solve 4*g - 5*o = 25, -7131*o = 18*g - 7134*o + 63 for g.
-5
Solve -6*r - 28 = 9*r - 12*r + 4*a + 39, 5*r = 4*a + 59 for r.
-1
Solve -3*s - 11*c - 81 = 0, -11 = 5*s + 3*c - 1 + 33 for s.
-5
Solve -5*f + 22 = -p, -2414*f + 2411*f - 5*p - 25 + 0 - 1 = 0 for f.
3
Solve 4*x = -58*s + 62*s + 312, -6*s - 3*x - 477 = 0 for s.
-79
Solve -k + 468*a - 456*a = -64, -3*k = 5*a + 13 for k.
4
Solve -3*v = -v - 4*z + 13649886 - 13649904, -3*z = -10*v - 12 for v.
-3
Solve 0 = -3*q + 4*v - 43, 2*q = -0*q - 829*v + 826*v + 28 for q.
-1
Solve 0 = -7*f + 14, -1437*s + 1436*s - 2*f + 70 = 0 for s.
66
Solve 10*j - 6*j - 1 = -811*p + 812*p - 4, 5*j - 54 = -7*p for p.
7
Solve m + 13 = 12*v, v - 5*m + 452 - 399 = 0 for v.
2
Solve 0 = 97*x - 4*y - 691, -9*x - 1049 = -4*y - 1124 for x.
7
Solve 0 = 2567*v - 2569*v - 2*n - 164, 4*v + 2*n = -n - 242 for v.
4
Solve 5998*t - 10 = -a + 6003*t, 5*t + 30 = -a for a.
-10
Solve -5*h + 10*b = 55, -20*b = 5*h - 22*b + 7 for h.
1
Solve -2126*h = -2129*h - t + 31, 5*h + 51 = 2*t for h.
1
Solve 4*r - 5*t + 29 + 17 = -5 + 4, r = -3*t + 1 for r.
-8
Solve 5*j - 57*a + 34*a = -22*a - 39, -3*j = a + 1 for j.
-5
Solve -2*z = -4*d + 24, 6*z + 363 = -6*z - 9*z - 5108*d + 5113*d for z.
-18
Solve 0*t + 30*u + 7*u = -0*t + 148, -5*t + 5*u = -3*t + 14 for t.
3
Solve 6*h + 3*n - 72 = 0, h - 21*n - 9*n + 27*n = 12 for h.
12
Solve 7*j - 8*j - 10 = -4 - 3, -2*j = -98*i + 692 for i.
7
Solve -25*n - 5*x + 155 = -23*n, -16*n + 28*x = -18*n + 32*x - 124 for n.
0
Solve -440*g + 2*p - 14 + 4 = -429*g, -4*g - 4*p + 60 = -6*g for g.
2
Solve -628*i - 31 = 3*r - 624*i, 0 = -5*r - 2*i - 33 for r.
-5
Solve -4*q - 23 = -13612*i + 13631*i + 14, 21 = 3*q - 2*i for q.
5
Solve -r + 10*r - 24 = 5*r - | {
"pile_set_name": "DM Mathematics"
} |
e (10/(-7))/((-9)/63). Find the third derivative of -s*p**5 - 6*p**5 + p**2 - 10*p**v + 16*p**5 wrt p.
-1200*p**3
Let a(v) be the third derivative of 67*v**7/210 - v**6/120 + 412*v**4/3 - 157*v**2 - 16. Find the second derivative of a(g) wrt g.
804*g**2 - 6*g
Let h(z) be the first derivative of 907*z**4/4 - 6*z**3 + 15*z**2/2 - 140. What is the third derivative of h(s) wrt s?
5442
Suppose -4 = 3*i - 13, m + 3*i = 13. Differentiate -165*b**m + 68*b**4 + 63*b**4 + 1 with respect to b.
-136*b**3
Let w be (16/(320/30))/((-3)/(-4)). Find the second derivative of -173*g**3 + w + 42*g - 2 - 87*g + 28*g wrt g.
-1038*g
Suppose 11*f - 37 + 4 = 0. What is the third derivative of o + 34*o**4 - 51*o**f + 61*o**2 - 58*o**3 + 109*o**3 wrt o?
816*o
Let l(j) be the third derivative of 0*j**3 + 6*j**4 - 39*j**2 + 0 + 0*j - 7/60*j**5. What is the second derivative of l(p) wrt p?
-14
Let m(f) be the third derivative of 589*f**5/30 - 958*f**3/3 + 1233*f**2. What is the derivative of m(k) wrt k?
2356*k
Let c(r) be the first derivative of 1/2*r**2 + 0*r - 238 + 124/3*r**3. Find the second derivative of c(d) wrt d.
248
Let l(f) be the first derivative of -302*f**6 - 37*f**3/3 - 8*f + 1367. Find the third derivative of l(y) wrt y.
-108720*y**2
What is the first derivative of -291 + 2*c**2 - 1141*c + 2153 - 2*c**2 + 3*c**2 + 1663 wrt c?
6*c - 1141
Let g = 558 + -556. Find the second derivative of 122*m + 3707*m**4 - g - 3717*m**4 + 2 + 4*m**5 wrt m.
80*m**3 - 120*m**2
Let t be (-26)/3*(-8)/((-80)/(-15)). What is the derivative of -55*y**2 - 53 - t + 108*y**2 wrt y?
106*y
Let c(u) be the second derivative of -101*u**4/12 + 1005*u**2/2 - 2453*u. What is the derivative of c(m) wrt m?
-202*m
Let h be (-730)/(-70) - (-6)/(-14). Let y = h + 39. What is the third derivative of 3*x**5 - 9*x**5 - 26*x**2 + y*x**2 wrt x?
-360*x**2
Find the second derivative of -17*y**3 - 25*y**2 + 3163 - 3163 - 10424*y wrt y.
-102*y - 50
Let o = -53 + 77. What is the second derivative of 12*t + 1 + o*t + 10*t - 124*t + 24*t - 271*t**5 wrt t?
-5420*t**3
Let u(f) be the first derivative of -9013*f**5/5 - 3179*f + 10708. What is the derivative of u(i) wrt i?
-36052*i**3
Let v = -15 - -9. Let i(p) = 11*p**2 - 18. Let a(w) = -182*w - 21 + 182*w + 2 + 10*w**2. Let h(u) = v*a(u) + 5*i(u). Find the first derivative of h(k) wrt k.
-10*k
Let s be 50 - (25/(-5))/5. Suppose -s*x + 54*x - 9 = 0. What is the derivative of -7*q - 10*q + x*q - 24 wrt q?
-14
Let y(g) be the first derivative of -35*g**6/2 - 3*g**5 - 1061*g**2/2 + g + 3384. Find the second derivative of y(u) wrt u.
-2100*u**3 - 180*u**2
Suppose 5*k + 9 = -4*q + 11, 0 = 4*k - q - 10. What is the third derivative of 20 + 8 + 3 + 2*v**k - v**4 - 40*v**3 - 9 wrt v?
-24*v - 240
Let l = 0 + 55. Suppose 5*z - 36 = -2*k + 11, -2*k = -3*z - l. Differentiate 9*h - k + 15*h + 5*h with respect to h.
29
Let y(l) = -4897*l**2 + 1811*l - 2. Let t(f) = -9793*f**2 + 3619*f - 4. Let m(u) = 6*t(u) - 13*y(u). What is the second derivative of m(x) wrt x?
9806
Let g be 2/(-14) + 176/56. Suppose -8*v - 5*h + 12 = -4*v, 9 = g*v + h. Find the second derivative of 0*z**3 + 7*z - 2*z**3 - 18*z - 4*z**v wrt z.
-36*z
Let o(u) be the third derivative of -u**7/70 + u**4/24 - 1048*u**3/3 + 15*u**2 - 163*u. Differentiate o(w) wrt w.
-12*w**3 + 1
Let d = -17 - -190. Suppose -5*l - d = -6*l. What is the second derivative of l*k**4 + 0*k - 166*k**4 - 13*k wrt k?
84*k**2
Suppose -85*a + 81*a = -112. Differentiate -14 - a - c + 2 - 59 with respect to c.
-1
Let u(a) be the third derivative of 0*a - 2/3*a**4 + 0 + 67/20*a**5 + 96*a**2 - 1/6*a**3. Find the second derivative of u(o) wrt o.
402
Let h(j) = -191*j**3 - 102*j**2 + 5*j - 4. Let o(c) = -c**3 + 4*c**2 - c + 1. Let s(a) = 2*h(a) + 10*o(a). What is the third derivative of s(y) wrt y?
-2352
Suppose 5*j + 3*s + 4 = 17, 3*j - s - 19 = 0. Find the third derivative of 6*z**2 + 3*z**j - 19*z**4 + 21*z**2 - 2*z**5 + 33*z**2 wrt z.
60*z**2 - 456*z
What is the second derivative of -10772*c + 20272*c + 324*c**4 - 12170*c - 1445*c**4 - 2213*c**4 wrt c?
-40008*c**2
Let n(q) = 1380*q**3 - 1181*q**2 - 2. Let k(g) = -1379*g**3 + 1180*g**2 + 3. Let i(a) = -2*k(a) - 3*n(a). Find the third derivative of i(p) wrt p.
-8292
Let z be (2/(2*4/(-16)))/(-1). Find the second derivative of z*b + 13 - 5*b - 138*b**5 - 70*b**5 - 4*b + 0*b wrt b.
-4160*b**3
Let c(b) be the second derivative of -843*b**8/14 + 2539*b**4/12 + 1195*b - 2. What is the third derivative of c(p) wrt p?
-404640*p**3
Let a = 288 - 131. Find the second derivative of -a*d - 13906*d**2 + 19*d + 13983*d**2 wrt d.
154
Let s(l) be the second derivative of -17*l**4/3 + 5*l**3/3 + 1213*l**2/2 - 2501*l. Find the first derivative of s(m) wrt m.
-136*m + 10
Find the first derivative of -6141*a - 750*a - 1327 + 507 - 1745 wrt a.
-6891
Let q(z) be the third derivative of -1779*z**7/70 + z**4/8 + 833*z**3/6 + z**2 + 4*z - 36. What is the second derivative of q(c) wrt c?
-64044*c**2
Find the second derivative of 614*d**2 - 3740*d + 693*d**2 + d**4 - 1306*d**2 + 6*d**3 wrt d.
12*d**2 + 36*d + 2
Let b(y) = -2063*y**3 + 2*y**2 + 3332*y - 4. Let n(a) = -5*a**3 + a**2 - 2. Let o(p) = b(p) - 2*n(p). Find the second derivative of o(c) wrt c.
-12318*c
Let j(f) = -25*f + 2. Let o(n) = 1893*n + 4898. Let u(h) = j(h) - o(h). What is the first derivative of u(g) wrt g?
-1918
Let d(v) = -919*v**4 - 1260*v**2 - 9*v. Let o(q) = -459*q**4 - 629*q**2 - 5*q. Let z(u) = -5*d(u) + 9*o(u). What is the third derivative of z(t) wrt t?
11136*t
Let x(z) be the third derivative of -7*z**6/12 - 3*z**5/20 + 6641*z**4/24 - 593*z**2 - 2. What is the second derivative of x(b) wrt b?
-420*b - 18
Let i(v) be the second derivative of 6233*v**4/12 - 4641*v**2/2 + 10624*v. Differentiate i(q) with respect to q.
12466*q
Let n be (20 - 18) + 0/1. Differentiate -n*j**2 + 16*j + 183 - j - 195 wrt j.
-4*j + 15
Let a(c) = -186*c**3 - 23*c - 9. Let p be a(-5). Find the third derivative of 50*n**3 - p*n + 23356*n - 52*n**2 wrt n.
300
Let r(d) = -6*d - 7. Let m be r(-2). Let x(p) = -22*p - 77. Let w(k) = -23*k - 76. Let z(y) = m*w(y) - 6*x(y). Differentiate z(g) with respect to g.
17
Let v(t) be the third derivative of -1007*t**6/120 - 79*t**4/12 + 280*t**2 - 2*t. Find the second derivative of v(a) wrt a.
-6042*a
What is the second derivative of -397*x + 2 + 350*x**2 + 341*x**2 - 924*x - 285*x**2 + 366*x**2 wrt x?
1544
Differentiate -65*q + 93*q + 824 + 711*q with respect to q.
739
What is the third derivative of -2*n**4 - 360*n**2 + 24*n**3 + 2 + 5*n**3 + 3*n**3 + 147*n**2 wrt n?
-48*n + 192
Suppose 0 = -2*q + 31 + 163. Find the second derivative of 79*i + q*i**2 + 49*i**4 - 36*i**4 - 14*i**4 - 326*i**2 wrt i.
-12*i**2 - 458
Let l(g) = -293*g**3 + 47*g**2 + 4769. Let k(q) = -244*q**3 + 39*q**2 + 3974. Let a(s) = -13*k(s) + 11*l(s). Differentiate a(r) with respect to r.
-153*r**2 + 20*r
Suppose 39 = 7*i - 10. Let d(h) = 2*h - 12. Let l be d(i). What is the first derivative of -5*p**l + 5*p**3 + 5*p**2 + 164 - 154 wrt p?
15*p**2
Let d = 364 - 337. What is the third derivative of -18*o**2 - d*o**3 - 1 + 19*o**2 + 22*o**3 wrt o?
-30
Let m(j) = 1041*j**4 - 10*j**2 - 1663. Let d(l) = 3122*l**4 - 28*l**2 - 4986. Let n(y) = -5*d(y) + 14*m(y). What is the first derivative of n(r) wrt r?
-4144*r**3
Let m(z) be the second derivative of -2 - 18/5*z**6 + 54*z**2 + 0*z**5 + 0*z**3 + 0*z**4 + 23*z. What is the derivative of m(r) wrt r?
-432*r**3
Find the second derivative of -651*q + 716*q**5 + 4213*q - 104*q - 863*q + 3066*q wrt q.
14320*q**3
Find the third derivative of 4793*x**4 + 151 - x**2 + x**2 - x**2 + 3522 + 3809*x**4 wrt x.
206448*x
Let l(x) be the third derivative of 0*x**4 + 0 - 9/35*x**7 - 237*x**2 + 0*x**6 + 0*x + 1/6*x**3 + 41/60*x**5. Find the third derivative of l(c) wrt c.
-1296*c
What is the second derivative of -45*h - 1455*h**4 - 25*h + 72*h - 90 wrt h?
-17460*h**2
Suppose 9*h = 4*h + 65. Suppose d - 161 = -159. What is the second derivative of -h*r**2 - 32*r + 5*r**2 + 39*r**d wrt r?
62
Let h(k) = -24*k + 2. Let a be h(-1). What is the first derivative of 54*y + a*y - 54 + 79*y + 14*y - 61 wrt y?
173
Suppose 5*t + 22 = -3*r, 14 = -7*t + 2*t - r. Let f = t + 13. What is the first derivative of -14 - 5 + 0 + 13*s**2 - f wrt s?
26*s
Let | {
"pile_set_name": "DM Mathematics"
} |
he hundreds digit of h?
0
Suppose 52 - 28 = -4*v. What is the units digit of -1 - -4*(-2 - v)?
5
Let i(u) be the second derivative of u**3/6 - 2*u**2 - u. Let w be i(2). What is the units digit of (-8)/(3/9*w)?
2
Let g = 713 - 471. What is the units digit of g?
2
Suppose 2*x + z - 14 = 0, -4*x + 26 = -0*x + z. Suppose 6 = -x*w + 8*w. Suppose -w*s = s - 108. What is the units digit of s?
7
Let h = -103 - -105. Suppose -97 = -5*x - h. What is the tens digit of x?
1
Suppose 3958 = 20*q + 198. What is the tens digit of q?
8
Let l(a) = -2*a**3 + 17*a**2 - 8*a + 11. Let x be l(8). Suppose x*y + 136 = 12*y. What is the tens digit of y?
3
Suppose x - 15 = -5*z, 0 = 2*x - 3*x - 4*z + 12. Suppose 2*c + g + 1 = x, 0 = -2*c + g + 1 + 8. Suppose c*k - 36 = -0*k. What is the units digit of k?
8
Suppose -4*i = x + 3*x + 1376, 0 = x + 2*i + 341. Let l = -197 - x. What is the units digit of l?
0
Let j(g) = 3*g + 1. Let r be j(-5). Let w = r - -40. What is the tens digit of w?
2
Let r(k) = -4*k + 86. Let a be r(23). What is the units digit of a/14 + (-689)/(-7)?
8
Let j = -2028 + 3012. What is the tens digit of j?
8
What is the units digit of 16239/36 + (-3)/36?
1
What is the tens digit of ((-8)/(-12) - (-370)/120)*984?
9
Let t = 584 - -1954. What is the units digit of t?
8
Let p(q) = -6 + 8*q - 6*q - 5*q - 1. What is the tens digit of p(-12)?
2
Suppose -3*o + 3*c + 12 = -0*c, -4*o - 8 = 2*c. Suppose 3*w + 2*k + 22 = o, 0*k + 25 = -5*k. Let p(s) = -5*s + 5. What is the tens digit of p(w)?
2
Let g be (14 + 442)*(-4)/3. Let m be (-4)/6 - g/48. Let j(y) = y**2 - 11*y - 11. What is the units digit of j(m)?
1
Let y be 48/32 - (31/(-2))/(-1). Let x = y + 127. What is the tens digit of x?
1
Suppose -3*p = -5*p + 4. Let s be (-3712)/(-48)*3/p. What is the tens digit of s/2 + -4 + 1?
5
Suppose 0 = -5*v + 3*v - 130. Let i = -20 - v. What is the tens digit of i?
4
Let a(r) = -37*r + 16. What is the hundreds digit of a(-4)?
1
Let q = -5515 + 7918. What is the hundreds digit of q?
4
Suppose -2*p = 4*k + p - 265, -5*k + 323 = p. Suppose 5*b + k = y + 3*y, -b - 59 = -5*y. What is the tens digit of y?
1
Let s(p) = -396*p - 457. What is the units digit of s(-3)?
1
Let q = -99 + 252. What is the units digit of q?
3
What is the hundreds digit of (35/20)/((-4)/(-2144))?
9
Suppose 15 = 5*y - 5*c, 4*y - 4*c + 3*c - 15 = 0. Suppose -g - 3*d - 2 = -1, 4*g + d + y = 0. What is the tens digit of (-52)/g + 2 + -5?
4
Suppose -11 - 5 = -g. Let z = g - 20. Let y = z - -7. What is the units digit of y?
3
Let n be (-4)/3*(-33)/2. Let l = -7 + n. Let s = l - 12. What is the units digit of s?
3
Let t = -7008 + 10455. What is the thousands digit of t?
3
Suppose 3*z + 2*z - 40 = 0. Let n be 2*-2*(-20)/z. Let v = 37 - n. What is the units digit of v?
7
Let i = 1 - -7. Suppose -3*m - 5*n + 23 = 0, -1 = m + 2*n - i. What is the tens digit of m?
1
Let p(l) = 46*l**2 + 64*l - 5. What is the hundreds digit of p(4)?
9
Suppose 3*f = -4*c - 29, -f - 2*c - 42 = 3*f. Let y = -9 - f. Suppose -y*t = -h - 66, 28 = t - 0*t - 3*h. What is the tens digit of t?
3
Let i = 124 + 91. Suppose 4*b - i = -3. What is the tens digit of b?
5
Suppose 13*o = 12*o. Suppose -7*a + 2*a + 30 = o. What is the units digit of a?
6
Let t = 17 - 66. Let b = t + 72. What is the units digit of b?
3
Let j = -1154 + 2154. What is the hundreds digit of j?
0
Let g(d) = 91*d**2 + 7*d + 32. What is the thousands digit of g(-4)?
1
Let d(x) = x**3 - x + 2. Let b be d(0). Suppose -4*t - q = -311, 2*t + 314 = 6*t - b*q. What is the units digit of t?
8
Suppose 3*t = 5*g + 2291, -3*t - 2*t + g + 3855 = 0. What is the units digit of t?
2
Let z(c) = -3*c**3 - 7*c**2 - 3*c + 23. What is the tens digit of z(-4)?
1
Suppose 4*x + 3*f + 24 = 0, 3*x + 0*x - 4*f + 18 = 0. What is the tens digit of (0 + 114/4)/(x/(-12))?
5
Suppose 0 = -b + 3*c + 1, 2*c + 1 = 2*b + 19. Let q = b + 21. Let x = q + 9. What is the units digit of x?
6
Suppose -8*d = 9805 - 45317. What is the hundreds digit of d?
4
Suppose 65*v = 3168 + 2422. What is the tens digit of v?
8
Let b(s) = -s**3 - 25*s**2 + 67*s - 25. What is the units digit of b(-28)?
1
Let l = 1128 + -588. What is the units digit of l?
0
Let u = -56 - -30. Let c = u + 15. Let a = 31 + c. What is the units digit of a?
0
Suppose 3*g = 5*g - 8. Suppose w + 16 = 3*y, 3 - 7 = 3*y + g*w. What is the units digit of y?
4
Suppose 0 = 5*j - 3*j - 38. Let x be (-6)/21 - j/7. Let f(v) = v**3 + 4*v**2 + 2*v - 2. What is the units digit of f(x)?
1
Let b(h) = 5*h**3 + 20*h**2 - h - 8. Let t be b(-4). Let v(a) = -3*a**3 + 2*a - 4*a - 2 + 2*a**3 - a**2. What is the tens digit of v(t)?
5
Let i(j) = 142*j - 41. Let r be i(-4). Let x = -425 - r. What is the tens digit of x?
8
Let k(m) = m - 3. Let u be k(6). Suppose 3*v + 4*b - 31 - u = 0, 5*b - 44 = -4*v. Let c = 16 - v. What is the tens digit of c?
1
Suppose 15*y = 12*y. Suppose -191 - 39 = -2*m - d, -4*m + 3*d + 470 = y. What is the tens digit of (m/(-6))/(20/(-30))?
2
Let w be 12/9 - 70/(-6). Suppose -w*o + 1433 = -62. What is the units digit of o?
5
Let u(a) = -a**2 + 3 + 3*a + 0*a**2 + 5 + 0*a. Let l be u(4). Let o(t) = 6*t + 2. What is the tens digit of o(l)?
2
Suppose -4*i - 5*x = -i + 265, -4*i - 2*x = 330. Let b be ((-5)/(-4))/((-10)/i). Suppose 3*n - b = 92. What is the tens digit of n?
3
What is the hundreds digit of 21*-1*(-3560)/120?
6
Let x = 65 - 49. Suppose d - x = -3. What is the units digit of d?
3
Let n be (-12)/54 + 148/18. Suppose -n*v - 12 = -5*v. Let d = 9 - v. What is the tens digit of d?
1
Let k(f) = -2. Let s(d) = -1. Let m(q) = -4*k(q) + 5*s(q). Let g(v) = v - 4. Let w(n) = 4*g(n) + 5*m(n). What is the tens digit of w(3)?
1
Suppose -7 + 2 = -5*s. Suppose 4*n = 4*q - 28, 21 = -4*n + s. What is the units digit of q/(-4) - (-124)/8?
5
Suppose -1 = 4*t - 13. Suppose -m - 4 = j - 2, t*j + 5*m = -14. Suppose -5*q - 5 = -5*d, 0 = 5*q + 3*d + j*d - 25. What is the units digit of q?
2
Let a(c) = 2*c + 4. Let o be a(-4). Let y be 26/6 + o/(-6). Suppose 3 = y*z - 92. What is the tens digit of z?
1
Suppose 10494 = 4*m - 5*p, 5*m - 13101 = 9*p - 11*p. What is the thousands digit of m?
2
Suppose -6217 = -3*c + 5*f - 2139, -3*f + 5418 = 4*c. What is the units digit of c?
6
Suppose -3*u - 113856 = -51*u. What is the units digit of u?
2
Let s(v) = -2*v**3 - 9*v**2 + 5*v + 2. Let w be s(-5). Suppose -2*o - w*p = 3*o - 316, 0 = 4*p + 8. What is the units digit of o?
4
Suppose -4*i + 4 = -4. What is the units digit of -1 + i - 290/(-5)?
9
Let m = -10 - -14. Let d be 1/(3 - 10/m). What is the tens digit of (0 + d + -9)*-5?
3
Let g = 1526 + -871. What is the hundreds digit of g?
6
Suppose 1578 = 149*h - 143*h. What is the tens digit of h?
6
Let s(x) = -9*x + 1. Let u be s(7). What is the tens digit of 20 - u - 2/2?
8
What is the tens digit of (-3220)/(-6) - (-19)/57?
3
Let j be 2 - (1 + -1 - 0). Suppose 3*k = -j*x + 242, 2*x - 7*x + 5*k + 605 = 0. Suppose 19 + x = 5*v. What is the tens digit of v?
2
Let w = -1594 + 3771. What is the units digit of w?
7
Let s(m) = 3*m**3 - m + 3. Let k be s(3). Let z(w) = 2*w**2 + 49*w + 247. Let l be z(-8). Let v = k + l. What is the tens digit of v?
6
Suppose z - 4 = 4*v, 4*z - v - 23 = -7. Suppose -23 = -2*h - 5*p, -5*h + 3*p + z = -7. Suppose h*m + 6 = 14. What is the units digit of m?
2
Let y = -10 + 14. Let u be (y - 0)*(3 - 2). Suppose -5*g - u*t = -343, -g + 5*t + 57 = -0*g. What is the units digit of g?
7
Suppose 17*p = 16*p. Let y be (3 - p)/(12/608). Let k = -88 + y. What is the units digit of k?
4
Let l be 3 + 0/4*(2 + -1). Suppose 5*m + l*n - 56 = 999, -857 = -4*m - 5*n. What is the units digit of m?
8
Let p = 2206 - 544. What is the thousands digit of p?
1
Let v = 144 - 217. What is the units digit of -2*1*v/2?
3
Let b = -58 + 83. Let m be (-4)/(-26) + 72/39. Suppose 2*g + m*g - p = 91, p + b = g. What is the units digit of g?
2
Let n = -404 + 1261. What is the tens digit of n?
5
Suppose -9*c + 5255 + 8947 = 0. What is the hundreds digit of c?
5
Suppose 2*i - 26 = 2*t, -2*t - 44 = -5*i + i. Let l = -2 + i. What is the units digit of l*4/(-8)*-10?
5
Let c = -336 + 636. What is the tens digit of c?
0
Suppose 33*d = 17*d + 23232. What is the thousands digit of d?
1
Let p be 2/(((-21)/486)/(-7)). Suppose -p = -4*z + 5*n, -3*z - n + 2 | {
"pile_set_name": "DM Mathematics"
} |
-29*h**3 + h
Let m(f) = 9*f**2 - 11. Let p = 2 + -13. Let s(w) = 5*w**2 - 6. Let x = -7 - -13. What is p*s(z) + x*m(z)?
-z**2
Let h(n) = -2*n**2 + 11*n + 3. Let f(k) = -k**3 + 5*k**2 - 22*k - 6. Determine 2*f(s) + 5*h(s).
-2*s**3 + 11*s + 3
Let m be (-2)/(-3) + 2/6. Let s(j) = 1. Suppose -3*y + 2 = -2*y. Let t(z) = y*z - 7 + 3 + 6. What is m*t(l) - s(l)?
2*l + 1
Let q(r) = 9*r**3 + 6*r**2 - 4*r - 4. Let l(m) = m**3 + 1. Let f(z) = 2*l(z) - q(z). Let v(d) = -d**3 - d**2 + d + 1. Calculate -f(i) + 6*v(i).
i**3 + 2*i
Let y(q) = -3*q**2 + 2*q + 2. Let m(j) = j**3 - 8*j**2 - 6*j - 12. Let o be m(9). Let r be 6/(-10) - (-39)/o. Let s(g) = g + 1. Give r*s(d) - y(d).
3*d**2
Let o(p) = p - 1. Let v(q) = -2*q + 1. Determine 5*o(y) + 4*v(y).
-3*y - 1
Let k(v) = -v**3 - v**2 + v + 1. Let g(y) = 0*y**2 + 4*y**3 - 2 + 3*y**2 + 0*y**2 - 5*y + 2*y. Determine g(c) + 3*k(c).
c**3 + 1
Let m = 1 + 2. Let j(y) = 5*y. Let a = 1 - -3. Let b(w) = a - 6*w - 4. Calculate m*b(i) + 4*j(i).
2*i
Let x(z) = -3*z**3 - 2*z - 5. Let j(i) be the second derivative of -3*i**5/20 - i**3/3 - 3*i**2 - 16*i. Calculate 5*j(o) - 6*x(o).
3*o**3 + 2*o
Let x(h) = -505*h**2 - 85*h + 85. Let n(s) = 18*s**2 + 3*s - 3. Determine 170*n(i) + 6*x(i).
30*i**2
Let x(o) = -4*o. Let m(z) = -z**3 + 4*z**2 + 6*z + 5. Let w be m(5). Let c be 6 + -3 + (-1 - -15). Let d = -15 + c. Let k(v) = v. Give d*x(r) + w*k(r).
2*r
Let r(t) = 2*t - 2. Let m(w) be the first derivative of w**4/12 - w**3/3 + w**2/2 + 7. Let h(b) be the second derivative of m(b). What is -4*h(d) + 3*r(d)?
-2*d + 2
Let w(d) = 6*d**2 - 4*d. Let m(r) = -17*r**2 + 12*r + 1. Determine -4*m(o) - 11*w(o).
2*o**2 - 4*o - 4
Let i = -34 + 18. Let z = -12 - i. Let o(q) = 2*q + 2. Let f(t) = 2*t + 1 + 0*t + 2. Give z*o(u) - 3*f(u).
2*u - 1
Let i(o) = 2*o + 22. Let y be i(-8). Let g(f) = 10*f. Let s(m) = 11*m. Give y*s(r) - 7*g(r).
-4*r
Let g(y) = -y**3 - y + 1. Let x(d) = -d**3 - d**2 + 1. Let s be x(0). Let v(j) = -4*j + 33. Let p be v(7). Let k(c) = 3*c**3 + 5*c - 4. Give p*g(t) + s*k(t).
-2*t**3 + 1
Let z(o) = 6*o**3 + 5*o**2 + 5*o. Let k(b) = -b**3 - b**2 - b. Let p(w) = -w**2 + 7*w - 3. Let f be p(6). Determine f*z(j) + 15*k(j).
3*j**3
Let r(n) = n**2 + 2*n - 5. Let l(i) = 5*i**2 + 11*i - 26. Calculate 2*l(z) - 11*r(z).
-z**2 + 3
Let r(q) = -4*q + 4. Let i(t) be the third derivative of t**4/24 - t**3/6 - 20*t**2. What is 14*i(g) + 3*r(g)?
2*g - 2
Let w(q) = q**2 + 3. Let v(k) = -5*k**2 - 16. Calculate -2*v(r) - 11*w(r).
-r**2 - 1
Let h(l) = -l**2 - 3*l - 2. Let w(b) = -3*b - 21. Let f be w(-6). Let m(u) = 2*u**2 + 3*u + 3. Determine f*m(g) - 4*h(g).
-2*g**2 + 3*g - 1
Let m(o) = 8*o**3 + 3*o**2 - 3*o + 3. Let t(f) = 15*f**3 + 5*f**2 - 5*f + 5. Calculate 5*m(z) - 3*t(z).
-5*z**3
Let v(f) = -16*f**3 - 31*f**2 - 5*f + 6. Let o(c) = -3*c**3 - 6*c**2 - c + 1. Give 11*o(r) - 2*v(r).
-r**3 - 4*r**2 - r - 1
Let p(d) be the third derivative of 2*d**2 + 0 - 1/12*d**4 + 0*d + 1/2*d**3. Let s(q) = q. Let g be s(-3). Let c(h) = 3*h - 4. Calculate g*c(b) - 4*p(b).
-b
Let r(v) = 0*v**2 - 3 - 2*v**2 - 2*v**2 + 2*v**2. Suppose -5*u = -3*u - 4. Let l be (-8)/6*15/u. Let x(k) = -6*k**2 - 10. What is l*r(z) + 3*x(z)?
2*z**2
Let n(k) = -7*k**2 + 7*k. Let l(r) = -7*r + 12*r - 9*r**2 + 17*r - 13*r**2. Calculate -5*l(u) + 16*n(u).
-2*u**2 + 2*u
Let n(v) = 7*v**2 - 5*v - 5. Let q(p) = 6*p**2 - 4*p - 4. Suppose 0 = -2*w - 1 - 7. Calculate w*n(m) + 5*q(m).
2*m**2
Let z(x) = -10*x + 40. Let n(s) = 3*s - 13. Calculate 7*n(k) + 2*z(k).
k - 11
Suppose 5*q + 9 = -4*r, 3*r - 5*q = 6*r + 8. Let i(g) = g**3 + g**2 + 1. Let b(s) = -10*s**3 - 5*s**2 - 5. Calculate r*b(t) - 5*i(t).
5*t**3
Let r(d) = 8*d**3 + d**2 - 2*d - 1. Let w be r(-1). Let s(a) = -a**3 - a**2 + 1. Let y(v) = 4*v**3 + 9*v**2 - 6. What is w*s(g) - y(g)?
2*g**3 - 3*g**2
Let s(f) = -3*f + 5. Let o(u) = -16*u + 24. Give -5*o(v) + 24*s(v).
8*v
Let l(d) = 0*d**2 - 4 - 4 - d**2. Let x(m) = -4 - 2 + 4. Give -2*l(t) + 9*x(t).
2*t**2 - 2
Let k(i) = -i**2 + 8*i + 2. Let t be k(7). Let h(j) = j - j**2 + 2*j + 0*j - t. Let f(v) = -2*v**2 + 5*v - 14. Calculate -5*f(b) + 8*h(b).
2*b**2 - b - 2
Let c(d) = -d + 9. Let m be c(4). Let i(w) = 7 - 5*w + 3*w + w + 5*w. Let k(g) = -2*g - 3. Give m*k(x) + 2*i(x).
-2*x - 1
Let n(p) = 6*p - 14. Let d(v) = 5*v + 21. Let w be d(-5). Let l(x) = 2*x - 5. Calculate w*n(r) + 11*l(r).
-2*r + 1
Let s(d) = 8*d**2 + 5*d - 2. Let z(a) = -2*a - 2*a + 1 - 3*a**2 + 1 - 4*a**2. Suppose -q - 17 = -3*x + x, 7 = -3*x - 5*q. Give x*z(n) + 5*s(n).
-2*n**2 + n + 2
Let j(o) = -o**2 + o. Suppose -4*g + 2 = -14. Suppose -k + 3 = -g*k. Let c(m) = -m**2 + 5*m. What is k*c(p) + 3*j(p)?
-2*p**2 - 2*p
Let g be (6/(-4))/(4/8). Let n(c) = 2*c - 2. Let r(h) = -h + 1. What is g*n(p) - 8*r(p)?
2*p - 2
Let a(g) = 2*g**3 - g**2 - 4*g. Let w(s) = s**3 - s**2 - s. Determine -a(j) + 4*w(j).
2*j**3 - 3*j**2
Suppose -1 = -2*m + 1. Suppose -c - 2 = -m. Let b(p) = p**2 + p + 1. Let i(w) = -4*w**2 - 2*w - 4. Give c*i(u) - 2*b(u).
2*u**2 + 2
Let f(m) = -8*m**3 - 7*m**2 - 7*m + 7. Let q(v) = 9*v**3 + 8*v**2 + 8*v - 8. What is -7*f(o) - 6*q(o)?
2*o**3 + o**2 + o - 1
Let x(v) = -12*v - 2. Let f(h) = -59*h - 11. Determine -2*f(z) + 11*x(z).
-14*z
Let r(f) = 2*f**2 + 4*f - 2. Let t(c) = 8*c + c**2 - 2*c - 5*c. Calculate -r(a) + 4*t(a).
2*a**2 + 2
Let a(i) = -2*i**2 - 3*i + 4. Let b(u) = u. What is -a(f) - 3*b(f)?
2*f**2 - 4
Let c(v) = -80*v**3 + 25*v**2 - 25*v - 25. Let u(f) = -10*f**3 + 3*f**2 - 3*f - 3. What is 3*c(z) - 25*u(z)?
10*z**3
Let b(v) = 4*v**2 - v - 2. Let j(r) = -r**2 - r. Give -b(a) - 2*j(a).
-2*a**2 + 3*a + 2
Let k(s) = -8*s**3 - 6*s**2 - 6*s + 6. Let f(i) = -132*i + 1 + 264*i - i**2 - i**3 - 133*i + 0. Give 12*f(c) - 2*k(c).
4*c**3
Let t(v) = v**2 + 2*v + 0*v + 3*v**2 - 3. Let h(p) = -2*p + 4 + 4 - 11*p**2 - 3*p + 0. Calculate 3*h(o) + 8*t(o).
-o**2 + o
Let g(c) be the third derivative of -c**4/12 - c**3/3 + 15*c**2. Let l(k) = -k - 2. Let r be 2/(1 - 3)*1. Let h = 4 + r. Calculate h*g(a) - 4*l(a).
-2*a + 2
Let z(r) = 8*r - 4. Let d = 18 + -11. Let m be (2 - 2)*(-1)/2. Let l(t) = 0*t + t + 8*t + m - 5. Determine d*z(k) - 6*l(k).
2*k + 2
Let p(j) = 6 - 56*j - 57*j + 106*j. Let i(h) = 1 + 0*h - h + 0. Determine 6*i(r) - p(r).
r
Let u(x) = x**3 - 1. Let c be 2/(-4) + 2/4. Let z(p) = c - 5*p**3 - 1 - 1 + 7. Let j be (-2 + (-10)/(-2))/(-1). Determine j*u(l) - z(l).
2*l**3 - 2
Let i(y) = 11*y + 4. Let v(m) = m + 1. What is 2*i(c) - 6*v(c)?
16*c + 2
Let n(a) = -14*a - 4*a**2 - 11 - 9 + 2*a**2 + 12. Let v(q) = q**2 + 9*q + 5. Calculate 5*n(b) + 8*v(b).
-2*b**2 + 2*b
Let i(p) = -36*p**3 + 4*p**2 - 4*p - 4. Let a(o) = 35*o**3 - 3*o**2 + 3*o + 3. Determine 4*a(g) + 3*i(g).
32*g**3
Let n(y) = 3*y**2 - 2*y - 1. Let r(i) = 13*i**2 - 9*i - 5. Let o(c) = -9*n(c) + 2*r(c). Let b(v) = -v**2 - 1. Calculate -b(d) - o(d).
2*d**2 + 2
Let m(t) = -5*t**2 + 1. Let q(y) = 10*y**2 + 6*y - 1. Let a(j) = j**2 + j. Let i(d) = 6*a(d) - q(d). Determine 4*i(s) - 3*m(s).
-s**2 + 1
Let s(u) = -224*u**3 + 192*u + 192. Let x(v) = v**3 - v - 1. Determine s(h) + 192*x(h).
-32*h**3
Let u(f) = 22*f**3 + 14*f**2 + 22*f + 16. Let s(m) = 7*m**3 + 5*m**2 + 7*m + 5. Give -16*s(w) + 5*u(w).
-2*w**3 - 10*w**2 - 2*w
Let g(i) = i + 2. Let r(l) = -1. Let t(j) = j - 3 + 5 - 2*j. Let z(m) = -4*r(m) - t(m). Give 4*g(c) - 5*z(c).
-c - 2
Let o(k) = -62*k**3 + 6*k**2 - 6*k - 6. Let z(f) = 124*f**3 - 13*f**2 + 13*f + 13. Calculate 13*o(n) + 6*z(n).
-62*n**3
Suppose 3*g = -g - 52. Let x(w) = 8*w**3 + 4*w**2 - 6*w + 3. Let i(p) = -17*p**3 - 9*p**2 + 13*p - 7. Give g*x(h) - 6*i(h).
-2*h**3 + 2*h**2 + 3
Let t(f) = -11*f**3 + 5*f**2 - 3*f - 4. Let r(c) = 10*c**3 - 4*c**2 + 2*c + 3. Give -4*r(u) - 3*t(u).
-7*u**3 + u**2 + u
Let d(j) = -2*j + 1. Let z(b) = 2*b - 1. Suppose -5*n + 7*n - 12 = 0. Determine n*d(f) + 5*z(f).
-2*f + 1
Let o(s) = -11*s**2 + 7*s - 3. Let u(z) = -5*z**2 + 3*z - 1. Give -4*o(n) + 9*u(n).
-n**2 - n + 3
Let i(h) be the second derivative of -7*h**4/12 - h**3 - 3*h**2 + 6*h. Let k(j) = -13*j**2 - 11*j - 11. Let n be (1/(-3))/((-2)/66). Give n*i(r) - 6*k(r).
r**2
Let v(u) = 5*u + 6*u + 6 - 11*u**3 - 11*u + 6*u**2. Let j(i) = -10*i**3 + 5*i**2 + 5. What is 6*j(f) - 5*v(f)?
-5*f**3
Let t(b) = -2*b + 7. Let j(l) = 3*l - 10. Let w = 9 + -14. Determine w*j(s) - 7*t | {
"pile_set_name": "DM Mathematics"
} |
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33716
What is next in 142315084, 142315081, 142315078?
142315075
What is next in 1020903, 2041781, 3062659, 4083537?
5104415
What comes next: -322915, -323022, -323319, -323902, -324867, -326310?
-328327
What is the | {
"pile_set_name": "DM Mathematics"
} |
4, -3.1?
0.4
What is the nearest to 11518 in 0.3, 11, -1/3, -27?
11
What is the nearest to 0 in 3, -3.5, 10609, -31?
3
Which is the nearest to 39? (a) 240 (b) 1/142 (c) -1 (d) -1/3
b
What is the nearest to -4/9 in 3, -260, 2/243, -3?
2/243
What is the nearest to -7 in -0.01, 5, -0.2, -0.08, 1.1?
-0.2
Which is the closest to -428? (a) -2/11 (b) -6/5 (c) 2211
b
What is the nearest to 0.1 in -3, -153, -0.2, 1/4384?
1/4384
Which is the nearest to -11? (a) 1 (b) 4 (c) -68/5 (d) -3558 (e) -5
c
What is the closest to -4.9 in 5.13, 3, -0.5, -79, 1/5?
-0.5
Which is the nearest to -1? (a) 24/7 (b) -6 (c) -1 (d) 3241
c
Which is the nearest to -1? (a) 3/11 (b) -71/8 (c) -2 (d) 0.03 (e) 58
c
Which is the closest to 0.1? (a) 211 (b) 39/7 (c) 0.2 (d) -1/34 (e) 3
c
What is the nearest to 73 in 0.5, 17, -7, -0.5, -62/7?
17
What is the nearest to -15/49 in 9, 3, -1091?
3
Which is the closest to -5/12? (a) -0.1 (b) 45.2 (c) 0.02 (d) -2 (e) 3
a
Which is the closest to 0.1? (a) -27 (b) -1/9 (c) 39842
b
Which is the nearest to -15763? (a) -3 (b) 4/9 (c) -70
c
What is the nearest to -6/5 in -0.12, 189, 525?
-0.12
What is the nearest to 1/4 in 0.1, 80, 41.1?
0.1
Which is the closest to 206/7? (a) -70 (b) 2/117 (c) 2/43
c
Which is the closest to -611/7? (a) -0.08 (b) 1/3 (c) 5 (d) -3 (e) 0.2
d
What is the nearest to 0.142 in 3919, 0, 2/5?
0
Which is the closest to -21? (a) -11 (b) 0.01 (c) 0 (d) 2/7 (e) 99 (f) 1.4
a
Which is the closest to -2? (a) -1109 (b) -47 (c) -1.08
c
Which is the closest to 0.1? (a) 2/17 (b) -6/23 (c) 36718
a
What is the closest to -0.26 in 13, 1/4, 1, 0.137, -3, 17?
0.137
Which is the closest to -365.11? (a) -5 (b) 3 (c) 5 (d) -0.5 (e) -2/15
a
Which is the nearest to 1? (a) -2/3 (b) -101 (c) -3.5 (d) -830 (e) -5
a
What is the closest to 271.87 in -1.1, 3, -0.01?
3
Which is the closest to -16? (a) 0 (b) -3/4 (c) -8976 (d) -2 (e) 2
d
Which is the nearest to -0.041? (a) -43 (b) -0.3 (c) 5 (d) 4
b
What is the closest to 56 in 0.4, 6, 16/7?
6
Which is the closest to -1? (a) -2/17 (b) -14 (c) -2 (d) 2 (e) 11/32
a
What is the closest to -4 in -5, -2/17, -0.11, -4, 163/33, 4?
-4
Which is the closest to -2? (a) 3 (b) -2952 (c) -1/4 (d) 115
c
Which is the closest to -2/47? (a) -3 (b) 3007 (c) -59
a
Which is the nearest to -5/11? (a) 68 (b) 2 (c) 4
b
What is the nearest to 2 in -2749.4, -1/20, 5, 3?
3
Which is the closest to -148/7? (a) 134835 (b) 0 (c) 0.1
b
What is the nearest to 3 in 2/23, -0.02, 7/2, -2/7, 2682, -3?
7/2
What is the closest to 2/101 in -2.3, -3/7, 1621, 2/3, 2/9?
2/9
Which is the closest to 7? (a) 1.2 (b) -2/3 (c) 13 (d) 794 (e) -0.7 (f) 5/4
f
What is the nearest to 115 in -48, -2/43, -0.1, 0, 4?
4
What is the nearest to 6/7 in 5, -0.5, 27, 11/5, -21/16, -0.2?
-0.2
What is the nearest to -2/3171 in 0.5, -0.4, -3, -5, 377?
-0.4
What is the closest to 1/2 in -0.4, 15, -2/11, 3.6, 2/49, 9?
2/49
What is the nearest to 1/4 in 2/45, 284, 0.1, -2/19, -7/2, -5?
0.1
What is the closest to 4 in -2.7, -0.23, -4/143, 0.3, 2, 2/25?
2
What is the closest to 2/5 in -4, -1/4, 165975?
-1/4
Which is the nearest to -2? (a) 0.01 (b) 286.356 (c) -4
c
Which is the closest to -1/2? (a) 1/5 (b) 2 (c) -701 (d) 707/10 (e) 8 (f) 2/7
a
What is the closest to 0.57 in -3, 0.78, -344?
0.78
Which is the nearest to 5? (a) 15079 (b) 0.1 (c) 18
b
Which is the nearest to -0.1? (a) 4 (b) -0.21 (c) 1/9 (d) -0.02 (e) -1/4 (f) 2
d
Which is the closest to 0.6? (a) 10 (b) -4.30225 (c) 4
c
What is the closest to 0.04 in -0.4, 51468, 21, -2?
-0.4
Which is the closest to 8.9? (a) -1.8524 (b) -5 (c) 4
c
What is the closest to -2/7 in -0.3, -63, 2, 4.7?
-0.3
What is the closest to 38 in -187/5, 1, -25?
1
Which is the nearest to 5? (a) 5 (b) 3/7 (c) -11 (d) -0.757
a
What is the nearest to 0.1 in 3/4, -0.5, 0.01, 0.35, -3507?
0.01
What is the closest to -1/4 in 590/9, 5, 146?
5
Which is the closest to 2049/4? (a) -0.02 (b) 1/6 (c) 10
c
What is the closest to -10/163 in -24, 0, -1, -93?
0
Which is the nearest to 2/5? (a) -3061 (b) -3/370 (c) -0.09
b
What is the nearest to 1/4 in -3/7, -17, -42, 1/37, 0.1?
0.1
Which is the nearest to 0.1? (a) -483 (b) 20 (c) -162
b
Which is the closest to 0? (a) 10 (b) -3/7 (c) -387 (d) 1/3 (e) -1
d
What is the nearest to 0.1 in 192/7, -488, 12?
12
What is the nearest to 5 in -8/7, -5, -4/9, 4, 0.29, 5?
5
What is the closest to -23 in -2733, 6, 34?
6
What is the nearest to -569 in -0.1122, -2, -0.4, -0.6?
-2
Which is the nearest to -77? (a) -2 (b) 5 (c) -5 (d) -121.758
d
What is the closest to 1 in -5.62, 0, -86688?
0
What is the closest to 63 in -2, 2.8, 0.1, 50, -0.1, -56?
50
Which is the closest to -320? (a) 13 (b) -22 (c) 4/5
b
Which is the closest to 0.2? (a) -12 (b) -625 (c) 174
a
Which is the closest to -1/3? (a) -1146 (b) -2/3 (c) -3/2 (d) -0.04 (e) -3/7
e
What is the closest to 0.1 in 4, -2, 104, 3.72, -2/11?
-2/11
What is the closest to -3 in 0.0893, 4, 75.5?
0.0893
Which is the nearest to 0.1? (a) 120591 (b) 0.1 (c) -4 (d) -4/5 (e) -0.4
b
Which is the closest to 21? (a) -0.2 (b) -8 (c) -1/8 (d) 25 (e) -1.9
d
Which is the closest to -2/5? (a) 0.65 (b) -15/4 (c) -8 (d) 1 (e) 24
a
Which is the nearest to 1/6? (a) 0.06 (b) 2/5 (c) 2/1343
a
Which is the closest to 1/2? (a) 3400/13 (b) -3 (c) -23 (d) -10
b
Which is the closest to 0.3? (a) -50861.22 (b) 3/7 (c) 0.1
b
What is the closest to 4 in 2, 4, -1037602?
4
What is the closest to 11699.2 in 0, 1, 3?
3
What is the nearest to -0.4 in -1/15, 362, -2/61, 0.11, 4?
-1/15
Which is the nearest to -2? (a) -5 (b) 6328 (c) 42
a
What is the closest to 4 in -137, 32, 28, -1?
-1
What is the nearest to -2/5 in 11/43, 3308/5, 1?
11/43
Which is the nearest to -2? (a) 0.1 (b) 788 (c) 15 (d) 29
a
Which is the nearest to 1/6? (a) -5 (b) -7 (c) 324 (d) -5/2 (e) -72
d
Which is the nearest to -1? (a) 26 (b) -591 (c) -4/9 (d) -5
c
What is the closest to 11 in -1, 166074, -5?
-1
What is the nearest to -7/5 in 0.280801, -1/5, -2/3?
-2/3
Which is the closest to -2/9? (a) 300 (b) 0.5 (c) -5/3 (d) -0.08 (e) -4
d
Which is the closest to 37664? (a) 15 (b) 3 (c) -0.5
a
Which is the nearest to -0.1? (a) 2 (b) -2/5 (c) -113.89 (d) 0.78
b
What is the closest to 3/2 in 2/11, 40/59, 1517?
40/59
Which is the nearest to -2/11? (a) -0.09 (b) 2/11 (c) 32 (d) -0.3 (e) -0.714 (f) -0.1
f
Which is the closest to -2045? (a) 27.1 (b) -3 (c) 2/17 (d) -0.2 (e) -0.1
b
What is the nearest to -21 in 0.15, -0.057, -2, 82?
-2
What is the nearest to 34 in 9, 44, 0.5, 7/11?
44
Which is the nearest to -249.98? (a) -54 (b) 0.4 (c) -52
a
Which is the closest to 0.3? (a) 20 (b) 0.045 (c) 5 (d) -0.2
b
What is the closest to 2 in -3/10, -1, 138, 19.27?
-3/10
Which is the closest to 3/8? (a) 1/4 (b) 0 (c) -0.3 (d) -0.0055 (e) 32/3
a
What is the nearest to 68 in 2/5, 0.07, -0.1, 16?
16
Which is the nearest to -1/2? (a) 0.4 (b) 89/4 (c) 6612 (d) -1
d
Which is the nearest to -0.1? (a) -1028426 (b) 8 (c) -3/5
c
What is the nearest to -48 in -11, -0.5, -0.64, -2/9?
-11
What is the nearest to -5/2 in 1.2, 50, 31?
1.2
What is the nearest to 144 in -93, -4, 1/4, -1, 3?
3
What is the closest to -3/17 in -0.17, 1/15, 814?
-0.17
Which is the nearest to 7? (a) 0.5 (b) -0.4 (c) 4 (d) -3 (e) 0 (f) -0.065
c
Which is the nearest to -6? (a) 4 (b) 1/3 (c) -34 (d) -5 (e) -127 (f) 1/13
d
What is the closest to -2/7 in -1, 748, 6, -4, 3/2, 5?
-1
What is the closest to 0.1 in 22277, 1/5, 2/13?
2/13
Which is the nearest to 0? (a) 3/25 (b) 84.2 (c) -2/7 (d) 0
d
What is the nearest to -1.29 in 2/17, 22, -4, 0, -1/6, -1/2?
-1/2
What is the nearest to -0.269789 in 0.4, 5, -1, 41?
0.4
Which is the closest to -23? (a) 9 (b) -0.064 (c) -2/5 (d) 1 (e) 1/7
c
What is the closest to -1/2 in 0, -2, 129807, 1/3?
0
Which is the nearest to 32? (a) -0.62 (b) 0.06 (c) -0.13 (d) 1/4
d
Which is the closest to 0.6? (a) -0.12 (b) -17.93 (c) -0.5 (d) 4
a
Which is the closest to 0.08? (a) -193/7 (b) 8/3 (c) 0
c
What is the nearest to -24 in 0, 4343, 2/9?
0
Which is the closest to 11123? (a) -63 (b) 0.3 (c) -2/7
b
What is the | {
"pile_set_name": "DM Mathematics"
} |
79, 625, 771?
146*l + 41
What is the m'th term of 27536, 27535, 27534?
-m + 27537
What is the k'th term of -31, -41, -51, -55, -47, -21, 29, 109?
k**3 - 6*k**2 + k - 27
What is the q'th term of -934, -936, -938, -940?
-2*q - 932
What is the y'th term of 317, 329, 341?
12*y + 305
What is the x'th term of 9, 44, 111, 216, 365, 564, 819, 1136?
x**3 + 10*x**2 - 2*x
What is the u'th term of -89, -228, -459, -782, -1197, -1704?
-46*u**2 - u - 42
What is the d'th term of -90, -236, -372, -492, -590, -660, -696, -692?
d**3 - d**2 - 150*d + 60
What is the v'th term of -192, -190, -188, -186?
2*v - 194
What is the o'th term of 534, 539, 544, 549, 554?
5*o + 529
What is the c'th term of -258, -249, -228, -189, -126, -33, 96, 267?
c**3 + 2*c - 261
What is the d'th term of 39, 72, 105?
33*d + 6
What is the w'th term of -137, -271, -405, -539, -673?
-134*w - 3
What is the z'th term of 82, 85, 86, 85, 82?
-z**2 + 6*z + 77
What is the p'th term of 208, 214, 220, 226?
6*p + 202
What is the m'th term of 84, 35, -38, -129, -232?
m**3 - 18*m**2 - 2*m + 103
What is the u'th term of 53, 102, 183, 296, 441, 618, 827?
16*u**2 + u + 36
What is the z'th term of -4400, -4399, -4398, -4397?
z - 4401
What is the g'th term of -33, -16, 5, 24, 35, 32, 9?
-g**3 + 8*g**2 - 40
What is the d'th term of -89, -166, -231, -278, -301?
d**3 - 84*d - 6
What is the h'th term of 1, 8, 15?
7*h - 6
What is the k'th term of 42, 40, 42, 48, 58, 72?
2*k**2 - 8*k + 48
What is the j'th term of -160, -332, -544, -802, -1112?
-j**3 - 14*j**2 - 123*j - 22
What is the b'th term of 6, -3, -16, -33, -54, -79?
-2*b**2 - 3*b + 11
What is the b'th term of 422, 429, 460, 527, 642, 817, 1064?
2*b**3 - 7*b + 427
What is the h'th term of -68, -115, -152, -173, -172?
h**3 - h**2 - 51*h - 17
What is the d'th term of -1475, -2950, -4425, -5900?
-1475*d
What is the b'th term of -61, -104, -143, -172, -185, -176?
b**3 - 4*b**2 - 38*b - 20
What is the z'th term of 1583, 1575, 1569, 1565, 1563, 1563?
z**2 - 11*z + 1593
What is the p'th term of -4, -5, -6, -7, -8?
-p - 3
What is the x'th term of 41, 43, 47, 53, 61, 71?
x**2 - x + 41
What is the x'th term of -298, -303, -310, -319, -330, -343?
-x**2 - 2*x - 295
What is the g'th term of 10, -43, -140, -287, -490, -755, -1088?
-g**3 - 16*g**2 + 2*g + 25
What is the g'th term of -104, -486, -1114, -1982, -3084?
g**3 - 129*g**2 - 2*g + 26
What is the i'th term of -676, -1364, -2056, -2752, -3452, -4156, -4864?
-2*i**2 - 682*i + 8
What is the c'th term of 287, 283, 269, 239, 187?
-c**3 + c**2 + 287
What is the u'th term of 297, 304, 323, 360, 421, 512, 639?
u**3 + 296
What is the c'th term of -2300, -2301, -2302, -2303, -2304, -2305?
-c - 2299
What is the a'th term of -1097, -1105, -1127, -1169, -1237?
-a**3 - a**2 + 2*a - 1097
What is the w'th term of 0, -19, -54, -111, -196, -315, -474, -679?
-w**3 - 2*w**2 - 6*w + 9
What is the p'th term of 3, -2, -7, -12, -17?
-5*p + 8
What is the b'th term of -12, -8, -2, 6?
b**2 + b - 14
What is the u'th term of -558, -562, -576, -606, -658, -738?
-u**3 + u**2 - 558
What is the v'th term of -12, -52, -130, -264, -472, -772, -1182, -1720?
-3*v**3 - v**2 - 16*v + 8
What is the v'th term of 23, 47, 105, 215, 395, 663, 1037, 1535?
3*v**3 - v**2 + 6*v + 15
What is the u'th term of -20, -25, -32, -41, -52, -65, -80?
-u**2 - 2*u - 17
What is the x'th term of 191, 197, 215, 251, 311, 401, 527?
x**3 - x + 191
What is the l'th term of 66, 65, 54, 27, -22?
-l**3 + l**2 + 3*l + 63
What is the g'th term of 210, 212, 216, 222?
g**2 - g + 210
What is the s'th term of 90, 108, 136, 180, 246, 340, 468, 636?
s**3 - s**2 + 14*s + 76
What is the z'th term of -3586, -7117, -10638, -14143, -17626, -21081, -24502, -27883?
z**3 - z**2 - 3535*z - 51
What is the b'th term of 370, 739, 1108, 1477?
369*b + 1
What is the h'th term of 23339, 23340, 23341, 23342?
h + 23338
What is the m'th term of 107, 100, 93, 86, 79?
-7*m + 114
What is the v'th term of 576, 575, 574, 573, 572, 571?
-v + 577
What is the v'th term of -10, -13, -28, -61, -118, -205?
-v**3 + 4*v - 13
What is the b'th term of 329, 330, 333, 338, 345, 354?
b**2 - 2*b + 330
What is the i'th term of -536, -1077, -1620, -2165, -2712, -3261, -3812?
-i**2 - 538*i + 3
What is the h'th term of -1, 8, 25, 56, 107, 184, 293?
h**3 - 2*h**2 + 8*h - 8
What is the k'th term of -45, -86, -129, -174, -221, -270, -321?
-k**2 - 38*k - 6
What is the s'th term of -530, -531, -532, -533, -534?
-s - 529
What is the p'th term of -190, -240, -290, -340, -390, -440?
-50*p - 140
What is the h'th term of -165, -153, -133, -105?
4*h**2 - 169
What is the c'th term of 73, 144, 215, 286, 357, 428?
71*c + 2
What is the n'th term of 19, -3, -71, -209, -441, -791, -1283, -1941?
-4*n**3 + n**2 + 3*n + 19
What is the j'th term of 368, 727, 1088, 1451, 1816?
j**2 + 356*j + 11
What is the o'th term of 405, 402, 407, 426, 465, 530, 627, 762?
o**3 - 2*o**2 - 4*o + 410
What is the a'th term of 3690, 7383, 11076, 14769?
3693*a - 3
What is the y'th term of 89, 95, 99, 101, 101, 99, 95?
-y**2 + 9*y + 81
What is the t'th term of 708, 709, 710, 711, 712, 713?
t + 707
What is the p'th term of 85, 62, 23, -32, -103?
-8*p**2 + p + 92
What is the x'th term of 2388, 2394, 2402, 2412, 2424?
x**2 + 3*x + 2384
What is the h'th term of 4166, 4176, 4200, 4244, 4314?
h**3 + h**2 + 4164
What is the c'th term of 6, -11, -38, -75, -122, -179, -246?
-5*c**2 - 2*c + 13
What is the i'th term of -152, -299, -446, -593?
-147*i - 5
What is the m'th term of 194, 202, 224, 266, 334, 434, 572?
m**3 + m**2 - 2*m + 194
What is the o'th term of 48, 42, 36?
-6*o + 54
What is the p'th term of -1338, -2678, -4020, -5364?
-p**2 - 1337*p
What is the q'th term of -172, -349, -528, -709, -892, -1077, -1264?
-q**2 - 174*q + 3
What is the i'th term of -6, -19, -32?
-13*i + 7
What is the l'th term of -34, -34, -30, -22?
2*l**2 - 6*l - 30
What is the a'th term of -74, -98, -122, -146?
-24*a - 50
What is the i'th term of -45, -56, -75, -102?
-4*i**2 + i - 42
What is the u'th term of 33, 117, 257, 453, 705?
28*u**2 + 5
What is the x'th term of -24, -220, -742, -1752, -3412, -5884?
-27*x**3 - x**2 - 4*x + 8
What is the v'th term of -71, -81, -91, -101, -111, -121?
-10*v - 61
What is the g'th term of 452, 902, 1352, 1802?
450*g + 2
What is the b'th term of -323, -643, -963?
-320*b - 3
What is the u'th term of -102, -73, -54, -51, -70, -117?
-u**3 + u**2 + 33*u - 135
What is the b'th term of 299, 300, 301, 302, 303?
b + 298
What is the m'th term of 1101, 1107, 1113?
6*m + 1095
What is the y'th term of -1264, -1259, -1254?
5*y - 1269
What is the v'th term of -14, -11, -18, -41, -86?
-v**3 + v**2 + 7*v - 21
What is the u'th term of 86, 176, 270, 368?
2*u**2 + 84*u
What is the j'th term of 24, 38, 62, 96, 140, 194?
5*j**2 - j + 20
What is the s'th term of 0, -9, -24, -45, -72?
-3*s**2 + 3
What is the x'th term of 12037, 12033, 12027, 12019?
-x**2 - x + 12039
What is the a'th term of 44, 184, 418, 746, 1168?
47*a**2 - a - 2
What is the v'th term of -28, -49, -70, -91, -112, -133?
-21*v - 7
What is the y'th term of -53, -55, -59, -65?
-y**2 + y - 53
What is the j'th term of -1030, -1032, -1036, -1042, -1050?
-j**2 + j - 1030
What is the r'th term of 444, 428, 388, 312, 188, 4, -252?
-2*r**3 - 2*r + 448
What is the d'th term of 46, 92, 168, 286, 458?
2*d**3 + 3*d**2 + 23*d + 18
What is the p'th term of -152, -130, -86, -14, 92, 238, 430?
p**3 + 5*p**2 - 158
What is the u'th term of -5004, -5002, -5000, -4998?
2*u - 5006
What is the c'th term of -5, -16, -29, -44?
-c**2 - 8*c + 4
What is the m'th term of 523, 522, 521, 520, 519, 518?
-m + 524
What is the a'th term of -40, -65, -110, -181, -284, -425?
-a**3 - 4*a**2 - 6*a - 29
What is the m'th term of -11, -45, -79, -113?
-34*m + 23
What is the s'th term of 16, 21, 38, 73, 132, 221, 346, 513?
s**3 - 2*s + 17
What is the k'th term of -5, 9, 29, 61, 111, 185, 289?
k**3 - 3*k**2 + 16*k - 19
What is the x'th term of -1088, -2185, -3282, -4379?
-1097*x + 9
What is the c'th term of 93, 99, 111, 129, 153, 183?
3*c**2 - 3*c + 93
What is the n'th term of -4, -19, -30, -31, -16, 21, 86, 185?
n**3 - 4*n**2 - 10*n + 9
What is the z'th term of 140, 1057, 3552, 8417, 16444, 28425, 45152, 67417?
132*z**3 - 3*z**2 + 2*z + 9
What is the p'th term of -1 | {
"pile_set_name": "DM Mathematics"
} |
a multiple of 29?
True
Is 28025 a multiple of 50?
False
Does 5 divide 87471?
False
Is 395064 a multiple of 165?
False
Does 63 divide 678405?
False
Does 186 divide 1342997?
False
Does 10 divide 5679257?
False
Is 473 a factor of 560978?
True
Is 293886 a multiple of 42?
False
Does 196 divide 1033176?
False
Is 9791 a multiple of 4?
False
Is 12 a factor of 43042?
False
Is 735656 a multiple of 528?
False
Is 70 a factor of 13854540?
True
Is 11 a factor of 354293?
False
Is 334 a factor of 5868647?
False
Is 256938 a multiple of 33?
True
Is 13479 a multiple of 5?
False
Does 25 divide 189050?
True
Is 21 a factor of 467915?
False
Is 332695 a multiple of 115?
True
Does 21 divide 17112396?
True
Is 8 a factor of 27500?
False
Does 328 divide 552680?
True
Does 21 divide 192633?
True
Is 24 a factor of 793930?
False
Is 8 a factor of 328163?
False
Is 345287 a multiple of 17?
True
Does 27 divide 672244?
False
Does 48 divide 224585?
False
Does 242 divide 722854?
True
Does 10 divide 235405?
False
Is 13761 a multiple of 6?
False
Is 144544 a multiple of 277?
False
Is 208740 a multiple of 42?
True
Does 106 divide 267650?
True
Is 667055 a multiple of 241?
False
Is 72673 a multiple of 44?
False
Is 142 a factor of 1288508?
True
Does 605 divide 1111385?
True
Is 232896 a multiple of 48?
True
Does 101 divide 3515002?
True
Is 566150 a multiple of 2?
True
Does 26 divide 1166015?
False
Is 152988 a multiple of 22?
True
Is 519105 a multiple of 40?
False
Does 556 divide 234340?
False
Does 22 divide 17179?
False
Is 36 a factor of 1260424?
False
Is 57 a factor of 311647?
False
Does 7 divide 136745?
True
Does 153 divide 7501?
False
Is 46 a factor of 896954?
True
Is 2448320 a multiple of 160?
True
Does 23 divide 2403677?
False
Is 198 a factor of 40031?
False
Is 12 a factor of 88056?
True
Does 1212 divide 9413664?
False
Is 20 a factor of 1219304?
False
Is 84 a factor of 3451291?
False
Is 622439 a multiple of 337?
True
Is 1037 a factor of 5094583?
False
Is 501930 a multiple of 9?
True
Is 252904 a multiple of 42?
False
Is 5169591 a multiple of 279?
True
Is 7819654 a multiple of 421?
True
Is 4560576 a multiple of 6?
True
Does 15 divide 273850?
False
Is 348001 a multiple of 258?
False
Is 1032408 a multiple of 13?
True
Is 1942488 a multiple of 113?
False
Is 180 a factor of 23646117?
False
Is 5 a factor of 420540?
True
Is 14269 a multiple of 12?
False
Does 50 divide 2720550?
True
Is 26283 a multiple of 7?
False
Is 2710030 a multiple of 17?
False
Is 27196 a multiple of 122?
False
Is 2324724 a multiple of 80?
False
Is 805248 a multiple of 233?
True
Does 174 divide 454054?
False
Is 97 a factor of 293425?
True
Is 11595904 a multiple of 17?
True
Is 165178 a multiple of 66?
False
Is 139960 a multiple of 8?
True
Is 723346 a multiple of 99?
False
Does 8 divide 261413?
False
Does 44 divide 7793148?
True
Does 962 divide 2363634?
True
Is 400 a factor of 155546?
False
Is 19 a factor of 937099?
True
Is 353 a factor of 22016?
False
Is 101673 a multiple of 13?
True
Is 17916 a multiple of 6?
True
Is 1698640 a multiple of 64?
False
Does 82 divide 3320986?
False
Does 130 divide 228849?
False
Is 513956 a multiple of 233?
False
Does 70 divide 242130?
True
Does 319 divide 147378?
True
Does 10 divide 10970?
True
Does 68 divide 295795?
False
Is 14 a factor of 25121883?
False
Does 247 divide 101764?
True
Is 43 a factor of 30142?
False
Does 498 divide 26125476?
False
Is 10484488 a multiple of 8?
True
Is 64 a factor of 2425358?
False
Is 1489950 a multiple of 18?
True
Does 142 divide 100320?
False
Is 6901643 a multiple of 17?
True
Is 390 a factor of 606505?
False
Is 192 a factor of 541440?
True
Does 51 divide 121323?
False
Is 64 a factor of 1398353?
False
Is 288905 a multiple of 25?
False
Is 8211924 a multiple of 84?
True
Is 35 a factor of 1511?
False
Is 2120574 a multiple of 483?
False
Does 7 divide 5941815?
False
Does 12 divide 109531?
False
Does 20 divide 404860?
True
Does 9 divide 17847?
True
Is 45 a factor of 4177980?
True
Is 134086 a multiple of 85?
False
Is 512 a factor of 5875207?
False
Is 39 a factor of 110526?
True
Does 22 divide 29029198?
True
Is 573 a factor of 422473?
False
Is 239 a factor of 9905149?
False
Is 21211497 a multiple of 27?
True
Is 3480575 a multiple of 25?
True
Is 270871 a multiple of 31?
False
Is 373 a factor of 2419428?
False
Does 376 divide 233872?
True
Does 69 divide 3316079?
False
Does 13 divide 112918?
True
Is 5586510 a multiple of 234?
False
Is 36 a factor of 69393?
False
Is 3 a factor of 318971?
False
Does 2 divide 69841?
False
Does 8 divide 10072?
True
Does 56 divide 3475123?
False
Does 85 divide 78285?
True
Is 165 a factor of 610676?
False
Does 7 divide 509530?
True
Is 195 a factor of 8094876?
False
Is 365 a factor of 9960485?
True
Is 3 a factor of 2738454?
True
Is 1006898 a multiple of 374?
False
Is 264 a factor of 298584?
True
Does 235 divide 209855?
True
Does 320 divide 39360?
True
Does 56 divide 118473?
False
Does 456 divide 158232?
True
Is 12312015 a multiple of 841?
False
Is 238 a factor of 229432?
True
Is 180 a factor of 1568700?
True
Does 15 divide 4235790?
True
Does 153 divide 3215498?
False
Is 659223 a multiple of 267?
True
Does 1199 divide 9905869?
False
Is 564953 a multiple of 21?
False
Does 55 divide 106315?
True
Does 7 divide 219885?
False
Is 172 a factor of 164453?
False
Is 766000 a multiple of 20?
True
Does 391 divide 1389134?
False
Is 41448 a multiple of 24?
True
Is 35 a factor of 647990?
True
Does 36 divide 10278?
False
Is 4683248 a multiple of 18?
False
Does 798 divide 601211?
False
Is 238000 a multiple of 340?
True
Is 188619 even?
False
Is 25 a factor of 25582?
False
Does 27 divide 1004994?
True
Is 17 a factor of 944775?
True
Is 207973 a multiple of 14?
False
Is 323 a factor of 1252304?
False
Is 1201682 a multiple of 21?
False
Is 31 a factor of 3985298?
True
Is 11421507 a multiple of 16?
False
Is 2142432 a multiple of 344?
True
Does 9 divide 7992502?
False
Is 5568300 a multiple of 100?
True
Is 332 a factor of 174362?
False
Is 9358720 a multiple of 896?
True
Is 92 a factor of 3359288?
True
Does 8 divide 89352?
True
Is 5 a factor of 33230?
True
Is 207 a factor of 219627?
True
Does 56 divide 9651501?
False
Is 50 a factor of 1997508?
False
Does 155 divide 508710?
True
Is 188 a factor of 9481972?
False
Is 58660 a multiple of 140?
True
Is 3456390 a multiple of 654?
True
Is 102102 a multiple of 187?
True
Does 34 divide 3722840?
False
Does 32 divide 1146853?
False
Is 3141852 a multiple of 139?
False
Does 142 divide 1187339?
False
Is 69 a factor of 672392?
False
Is 13 a factor of 8272186?
True
Does 19 divide 234327?
True
Is 95 a factor of 24794?
False
Is 19811 a multiple of 255?
False
Is 16 a factor of 47296?
True
Is 54 a factor of 396900?
True
Is 2 a factor of 62534?
True
Is 4 a factor of 6262763?
False
Is 119 a factor of 554421?
True
Does 171 divide 150814?
False
Is 2633564 a multiple of 215?
False
Is 279 a factor of 106168?
False
Does 26 divide 3004950?
True
Is 19980 a multiple of 54?
True
Is 41 a factor of 4185403?
True
Is 135099 a multiple of 153?
True
Is 137412 a multiple of 14?
False
Is 414 a factor of 1864656?
True
Does 2 divide 57796?
True
Is 566 a factor of 54165?
False
Is 294 a factor of 1472940?
True
Is 1366490 a multiple of 32?
False
Does 28 divide 2533?
False
Is 49 a factor of 233534?
True
Is 168 a factor of 1963920?
True
Does 97 divide 104495?
False
Is 1059 a factor of 8635086?
True
Is 1415730 a multiple of 41?
True
Is 42 a factor of 1123634?
False
Does 43 divide 438088?
False
Does 82 divide 175229?
False
Does 36 divide 112968?
True
Is 5 a factor of 231471?
False
Is 558 a factor of 1948529?
False
Is 392043 a multiple of 3?
True
Is 11 a factor of 310574?
True
Is 546001 a multiple of 19?
False
Does 23 divide 6141?
True
Is 8 a factor of 60157?
False
Is 46656 a multiple of 243?
True
Does 213 divide 259221?
True
Is 88 a factor of 13640?
True
Does 31 divide 950057?
True
Is 69310 a multiple of 239?
True
Is 271 a factor of 5324608?
True
Does 99 divide 7427574?
True
Does 27 divide 58619?
False
Is 3990608 a multiple of 38?
True
Is 64376 a multiple of 52?
True
Is 5649 a multiple of 2?
False
Does 9 divide 127269?
True
Does 206 divide 1382966?
False
Does 234 divide 2070198?
True
Does 442 divide 1271634?
True
Is 184 a factor of 4416?
True
Does 127 divide 456628?
F | {
"pile_set_name": "DM Mathematics"
} |
4 = g. Suppose -k = 4*y - 17, -3*k + 4*k - 9 = -f*y. What is the lowest common multiple of k and 2?
2
Let k be (-9)/(3/1) - -4. Calculate the lowest common multiple of 18 - (k + (-3)/1) and 18.
180
Suppose 7*g = 6*g + 1. Calculate the smallest common multiple of 14 and g.
14
Let i be (3856/2718)/((-4)/10). Let s = -4/453 + i. Let n = 3705 - 29679/8. Find the common denominator of s and n.
72
Let z = 13 + -5. Let j = -2 - -18. Suppose 3*x = -x + j. Calculate the lowest common multiple of x and z.
8
Let b(x) = 2*x**2 + 0*x - 2*x - 2*x. What is the smallest common multiple of 2 and b(-2)?
16
Let c be 2/(8/(-10))*-2. Let d(k) = -k**3 + 5*k**2 + 7. Calculate the lowest common multiple of 4 and d(c).
28
Suppose 0 = -2*v - 0 + 84. Calculate the common denominator of 1 - (-1 + (-267)/v) and -9/20.
140
Suppose -5*q - x - 4 = 0, 5*q = -2*x + 5*x + 12. Suppose q*i = -i + 14. What is the least common multiple of i and 18?
126
Suppose -5*y = -52 - 8. What is the common denominator of 113/18 and ((-4)/12)/(y/118)?
18
Let m(z) = -2*z**2 - 25*z + 8. What is the smallest common multiple of 58 and m(-12)?
580
Suppose q + 4*q = 40660. Let k be 1/3 + 390487/(-48). Let f = k + q. What is the common denominator of -85/14 and f?
112
Let s be 2 + -1 - (-10326)/119. Let u = 1344/17 - s. Let y = 93/7 + u. Calculate the common denominator of -15 and y.
7
Let y = 130 - 265/2. Let t be ((-846)/(-5))/(4/(-20)). Calculate the common denominator of (2/(-3))/((-24)/t) and y.
2
Suppose 0 = -5*p - 0*p + 40. What is the lowest common multiple of p and 10?
40
Let x = 2 + -5. Suppose 5*b + 2 = -18. Let q = x - b. Calculate the least common multiple of 2 and q.
2
Suppose 5*y = -10, -2*y + 12 = o - 4*y. What is the smallest common multiple of 16 and o?
16
Calculate the smallest common multiple of 1*(-1 + 2) - -1 and ((-8)/(-4) + -1)*3*1.
6
Suppose -3*v + 12 = -0*v. Let k = 0 + v. What is the common denominator of 97/12 and (1/5)/(k/(-186))?
60
Let h = -13375 + 200551/15. Calculate the common denominator of h and (-620)/(-14) - (-6)/(-21).
15
Let m be (0 - 2 - 0)*-1. Suppose -2 = -q, m*j + 6 = -3*q - 6. What is the smallest common multiple of 16 and 1 - (2 + -4 + j)?
48
Let n = -72 + 92. Calculate the least common multiple of n and 12 + 1/((-1)/2).
20
Let t = 4 + -3. Suppose 0 = -p - 3 - t. Calculate the common denominator of -39/22 and (-1)/p + 283/(-36).
198
Let h = 13 + -6. What is the smallest common multiple of h and 20?
140
Let y(t) = t**3 + 6*t**2 + t + 1. Let d be y(-5). Suppose -29 - d = -5*r. What is the smallest common multiple of r and 9?
90
Let t(v) = -v**2 - 2*v + 3. Let q(c) = -c**3 + 4*c**2 + 8*c - 7. Calculate the smallest common multiple of t(0) and q(5).
24
Suppose 0 = -2*s + 6. Suppose -4*r + 25 = -3*a + 6, 3*a = -s*r - 33. Let h = a + 29. Calculate the lowest common multiple of h and 18.
180
Let w be ((-5)/3)/((-13)/39). Suppose -w*n + 2*n = -9. Calculate the smallest common multiple of 7 and n.
21
Find the common denominator of 109/6 and ((-5)/(-15))/((-30)/(-909)).
30
Let h = -3 - -13. What is the smallest common multiple of h and 10?
10
Let i = 266193622 - -362458348. Let m = i + -10303605792069/16390. Let h = m + 2/745. Find the common denominator of -35/2 and h.
22
Let x be (18/(-20))/(10/61370). Let u = x + 5518. Find the common denominator of -58/5 and u.
10
Let a = 11 - 5. Suppose 10*l = 8*l + 10. What is the lowest common multiple of a and l?
30
Suppose 0*g = 2*g. Suppose g = -3*w - w. Suppose k - 6 - 14 = w. Calculate the smallest common multiple of k and 20.
20
Let t = 69175792823/12293711066 + 3760/1725191. Let b = t + 7/509. Find the common denominator of 87/4 and b.
28
Let d = -907/120 - -235/24. Find the common denominator of 71/10 and d.
30
Let r be (2/12)/(1/6). Let n be (-1)/r*(-114057)/10692. Let q = n + -1/1188. Find the common denominator of 48 and q.
3
Let h = -26 + 53. Calculate the least common multiple of h and 10.
270
Let g = 314/93 - -3415/2046. Find the common denominator of (-153)/(-255) + ((-43)/(-80))/(-1) and g.
176
Let j be 13149/3894 - (-3)/(-2). Let y = 18/59 + j. Find the common denominator of 61/3 and y.
33
Let v = 38 + -26. What is the lowest common multiple of 16 and v?
48
Suppose 3*j + u = -2*j + 21, 2*j + 4*u - 12 = 0. Suppose j*y = -y + 55. Suppose 0 = 15*z + 6 - 51. What is the lowest common multiple of z and y?
33
Suppose 4*o = -4*z + 47 + 45, 0 = o - 4*z - 3. What is the common denominator of o and 28/20 + 12/2?
5
Let s be (50233/(-3))/(10/3). Let b = -5018 - s. What is the common denominator of 99/14 and b?
70
Let u = 28 - 4. Let k = -52/101 - -5683/1818. Find the common denominator of (-2*1)/(u/86) and k.
18
Let j = 10 - -16. Suppose 0 = -4*k - 10 - j. Calculate the common denominator of -62/9 and k.
9
Suppose x = -5, f = -f - 5*x - 385. What is the common denominator of (-689)/f - 2/(-9) and 25/14?
140
Let d = -53988 - -324851/6. Let b = d - 153. Find the common denominator of 121/12 and b.
12
Suppose a + 5*n - 2 = -33, 4*a - 3*n + 9 = 0. Let y = a - -4. Find the common denominator of (55/y)/(2 - 0) and 4/5.
20
What is the least common multiple of 6/(-18) - (-343)/21 and 2/(-8) + (-41)/(-4)?
80
Calculate the common denominator of -23/11 and -1*5/(-2)*4/11.
11
Calculate the common denominator of ((-118)/12)/((-20)/(-15)) and 57/4.
8
Let v(m) = -m**2 + 7*m - 6. Let u be (-19)/(-4) - (-2)/8. What is the least common multiple of v(u) and 4?
4
What is the smallest common multiple of -16*(-8)/((-2)/(-2)) and 4?
128
Let m(f) = f**3 + 5*f**2 + 6*f + 5. Let u be m(-5). What is the common denominator of -9/14 and ((-18)/u)/((-16)/10)?
140
Let s(r) = -11*r**2 + 2*r + 1. Let l be s(-1). What is the smallest common multiple of (-195)/l - 1/4 and 14?
112
Suppose i + 6 = -2*z - 2, 2*i + 5*z = -14. Let y = -31 - -45. What is the lowest common multiple of 3/i - 130/(-8) and y?
112
Let p(c) = -22*c**3 - c - 1. Let a(o) = 2*o**2 + 12*o - 1. Let s be a(-6). Let b = -12 + 34. Calculate the smallest common multiple of p(s) and b.
22
Suppose -15 - 5 = -4*p. Calculate the smallest common multiple of p and 57.
285
Let i = -36 + 28. What is the common denominator of -1/7 and -1 - 3 - (-82)/i?
28
Let y = 3312 - 39863/12. What is the common denominator of y and 83/10?
60
Suppose -5*n + 20 = -30. What is the smallest common multiple of n and 30?
30
Let s = 5 - 5. Suppose s*r = 4*r - 4. Suppose -5*a - r = -3*h + 10, 5*a = 5*h - 35. Calculate the least common multiple of 18 and h.
36
Let n = -1 + -17. Calculate the common denominator of 15/n*(-7)/5 and 2*3/((-84)/(-62)).
42
Find the common denominator of 306/(-48)*40/18 and 53/30.
30
Let m be -1 - (-3 - -4) - 3. What is the common denominator of (26/m)/(11/10) and -21?
11
Calculate the common denominator of -37/2 and 6/(-4)*(-33)/9.
2
Let b(q) = -10*q - 87. What is the least common multiple of 6 and b(-9)?
6
Suppose 0 = -2*i + 563 - 213. Let u be (1522/10)/(20/i). Let r = u + -1346. Calculate the common denominator of -53/10 and r.
20
Let i = -51 + 69. Calculate the smallest common multiple of i and 6.
18
Let r be 0/(2 - (2 + 1)). Suppose 3*j + 8163 = -r*j. Let k = -38077/14 - j. What is the common denominator of -107/22 and k?
154
Let p = -15 - -21. Let m be 69/15 + p/15. Suppose 2*l = -g, -m = 5*g + 15. What is the lowest common multiple of 20 and l?
20
Let t = -1763/238 - -183/17. Suppose s + 4*s = 10. Find the common denominator of s/3 - (-217)/(-60) and t.
140
What is the least common multiple of 8 and ((-1)/2)/(59/12 + -5)?
24
What is the common denominator of -31/8 and (-621)/(-60) - 6/(-15)?
8
Let n = -3941/102 - -1028/17. Let g = 11/57 + 313/19. What is the common denominator of g and n?
6
Let q = -100/23 - -1499/276. Find the common denominator of 342/416*(-316)/237 and q.
156
Suppose -p + 2 + 9 = 0. Suppose -j + 6 = -4. Calculate the lowest common multiple of j and p.
110
Let m = -11215543103/590 + 19009386. Let r = 3/295 - m. What is the common denominator of 61/14 and r?
70
Calculate the common denominator of -53/30 and (332/18)/(24/9).
60
Suppose 2*u - 31 = z, 0 = 4*u - z + 3*z - 82. Suppose 7 + 5 = 3*b. What is the smallest common multiple of b and u?
36
Let l = -3 - -12. Calculate the lowest common multiple of 7 and 5 - (l/3 + -5).
7
Let u(m) = 31*m**2. Let x be u(1). Let w = | {
"pile_set_name": "DM Mathematics"
} |
p
Let a be (-2)/(-4)*1/3. Let o = 13 + -10. Suppose 3*f + o = 3*x, -3*f + 5*x = f + 6. Which is bigger: f or a?
f
Let l(j) = j**3 + 18*j**2 + 16*j - 22. Let s be l(-17). Is -8 smaller than s?
True
Let m(z) = 5*z + 21. Let c(h) = -h - 5. Let x(q) = 18*c(q) + 4*m(q). Let d be x(4). Let a be 3/(-3) - (-3 + d). Which is bigger: a or -2?
a
Let x = 3428149/5032635 + -19/10685. Let g be ((-2)/(-3))/((-314)/(-6)). Let a = x - g. Is -3 at least a?
False
Suppose 3*g = 2*h - 15, -5*g = -5*h - g + 20. Suppose -4*p + 2*m + h = 8, -m = -3*p - 5. Let n = 0 - 0. Which is bigger: n or p?
n
Let f = 10 + -10. Let p = 1/32 + -9/32. Which is bigger: p or f?
f
Let x = 4/61 - -102/305. Let l = -4 - -6. Let f = -1 + l. Which is smaller: x or f?
x
Let d be ((-3)/(-2))/(22/4). Which is greater: 1 or d?
1
Suppose -g + 3*r = -16, g = 6*g + r. Let h = 106/7 + -629/42. Is h not equal to g?
True
Let d(p) = -6 - p + 4*p - 4*p + 0. Let j be d(-4). Which is greater: j or -1/3?
-1/3
Suppose 22*s = 17*s - l + 101, -2*l = -s + 18. Is s smaller than 19?
False
Suppose 0 = -0*v + v - 3*o + 9, v - 12 = -4*o. Let d be (v - (-3)/(-90))*-4. Which is greater: d or -1?
d
Let m be (4 + -4)/(0 + -1). Suppose 0 = 2*o - 3*g, 0 = -m*o + 4*o + 2*g - 32. Let z = -8 + o. Is z equal to 0?
False
Let w = -76 - -378/5. Suppose 0 = -6*o + 2*o + 8. Suppose -m + 1 = -o, 5*m - 15 = s. Which is smaller: w or s?
w
Suppose 4*u + 4*h + 49 = -h, 4*u - 5*h = -39. Suppose 0*j + 48 = -4*j. Which is smaller: j or u?
j
Let v(r) = -r**2 - 7*r - 5. Let p be v(-6). Let m be (-1)/18 - 4/(-18). Which is smaller: m or p?
m
Let n(g) = 7*g**2 + 6 - g**3 + 2*g + 0*g - 8*g. Let a be n(6). Let r = 150 - 144. Is a bigger than r?
False
Let l be (4/15)/(4/6). Let j(s) = s**2 - 6*s + 4. Let w be j(4). Let o = 3 + w. Are l and o non-equal?
True
Let v(z) = -z**2 - z + 1. Let b(i) = i**3 - 6*i**2 + 6*i - 4. Let r be b(5). Let c = -1 + r. Let j be v(c). Which is smaller: -2/17 or j?
-2/17
Let o = 0.19 + 0.71. Let d = o + -0.93. Which is smaller: d or -2/5?
-2/5
Let c = 29 + -29.3. Let u(v) = -v**3 + 4*v**2 - v + 3. Let n be u(4). Which is smaller: c or n?
n
Let a be -5 - (3 - 5) - (-315)/111. Which is bigger: 0 or a?
0
Let v = 13/55 - 3491/110. Let c = 32 + v. Which is smaller: 2 or c?
c
Let d be (3*-1)/((-30)/(-20)) - -3. Is d smaller than -4/35?
False
Let l(n) = -12*n - 4. Let c be l(6). Let t = -110608/5 - -22046. Let f = c - t. Which is greater: f or 3?
3
Let a be 1/3 + 1/(-3). Suppose a = -i + 2*i + 1. Which is smaller: -2 or i?
-2
Suppose -2*a - 2 = -3*a. Suppose 3*l = l - a. Which is smaller: l or 1/14?
l
Let i be ((-1)/(-3))/((-2)/114). Is i > -17?
False
Suppose -16 = -k - 5*y, 2*y + 0*y = -k + 7. Let h be -4*(-105)/(-273)*(-3)/(-20). Is k smaller than h?
False
Let h be -1 - -2 - (-3)/(-3). Suppose 2*z - 4 = -h*z. Let g(x) = -x + 1. Let b be g(z). Which is smaller: b or -1/4?
b
Suppose 4*a = 4*g - 12, -7 = -0*a - 3*a - g. Let d = -7 + a. Is d greater than -8?
True
Suppose -12 + 2 = 5*x. Let o = -7 - -12. Suppose -4*f = -o*y - 2*f - 5, 5*f + 3 = -3*y. Do x and y have the same value?
False
Suppose 4*y + 22 = 5*k - 3*k, -3*y + 3*k = 24. Let o = 1 + y. Which is bigger: 1/4 or o?
1/4
Let i = 83/30 + -81/10. Is -6 greater than i?
False
Suppose -5*q - 5*z - 5 - 15 = 0, -2*q + 3*z + 12 = 0. Suppose q = 3*a - 0*a. Let y be (-14)/6 - (-1 + -1). Which is smaller: a or y?
y
Suppose 0 = 4*l + 35 + 13. Do -12 and l have the same value?
True
Let v(c) = c**3 + 6*c**2 - 6*c + 8. Let l be v(-7). Which is smaller: l or -4/13?
-4/13
Suppose -4*u + 19 = -1. Suppose 0 = -u*y + 5*s - 5, s + 9 = -2*y - 2*y. Let i be (-1)/2*(y - -2). Are i and 0 nonequal?
False
Suppose 2*u + 3*u = 0, 15 = -f + 3*u. Suppose -t = -30 + 45. Is t not equal to f?
False
Suppose -8*f = -4*f + 4. Are f and -2 equal?
False
Suppose f + 2*f - 4*z = 19, -9 = -f + 2*z. Let i be 2/(-8) + f/12. Let b be -1*2/4*0. Which is smaller: i or b?
i
Let s(u) = 3*u**2 + 6*u + 12. Let q be s(-2). Is q greater than 15?
False
Let z = 5/12 - -1/3. Let r be (-2 - 2/(-1))/2. Is r greater than or equal to z?
False
Let p(c) = -c**3 - 3*c**2 + 3*c. Let s be p(-4). Let v be ((-1)/5)/(s/(-10)). Are v and 1/3 equal?
False
Let m = 74 + -74. Is m > 1?
False
Let z(i) = -i**2 + 7*i - 10. Let l be z(3). Let s be (-4)/(-6) + 16/3. Suppose -4 - s = -5*y. Is y smaller than l?
False
Let a = 9 - 8. Let m be a + -1 - (-3)/(-18). Let b = -8 - -23/3. Is b > m?
False
Let i = 2 + -2.1. Let j = -326 - -324. Which is smaller: i or j?
j
Let h(f) be the first derivative of -f**4/4 + 4*f**3/3 - 3*f**2/2 + 4*f - 5. Let z be h(3). Does 4 = z?
True
Let u be (-1)/(-4)*(-32)/156. Are u and 0 non-equal?
True
Suppose 3*u + 9 = -3*i - 6, 0 = -2*i + 5*u + 25. Suppose -5*n - 7 - 5 = -g, 4*g + 3*n + 44 = i. Is g less than or equal to -7?
True
Let k = 55/6 + -1607/174. Is -1 <= k?
True
Suppose 2*s - 5*s = -21. Is s < 8?
True
Let s = -87 - -72. Which is smaller: -78/5 or s?
-78/5
Let o(a) = -a**2 + 5*a + 7. Let k be o(5). Let j = -8 + k. Let v be 2*j + 0 + -3. Which is smaller: v or -4?
v
Let q = 79 + -74. Which is greater: q or 1/5?
q
Let x = 49 + -67. Is x smaller than -18?
False
Let i(j) = j**2 + 11*j - 2. Let m be (12/(-8))/(2/16). Let z be i(m). Which is smaller: z or 9?
9
Let z = 3 + 2. Let n be z/(15/(-6))*-1. Suppose -2*b - 8 = 4*a, -3*a - 8 = -0*a + n*b. Does -4/3 = a?
False
Let i be -2 - -5 - 76/8. Let s = i - -8. Which is greater: s or 3?
3
Let o be (4 + -6)/(4/(-3)). Suppose -5 = 2*r - c - 0, -3*r - 40 = 5*c. Let l be (-34)/(-10) - (-2)/r. Which is smaller: o or l?
o
Let n be (-1 - 6 - 2) + 2. Let l(j) = j**2 - 3 + j + 4*j + 2*j. Let p be l(n). Which is smaller: -3/2 or p?
p
Let s be ((-2)/2)/(2/(-6)). Suppose -s*b + 15 = 3*a, -a + 20 = 3*a. Let p be b - ((-6)/10 + 1). Is -1 not equal to p?
True
Let p = 11 - 9. Suppose 5*y + 3 = -3*x, 0 = y - 3*y - 5*x - 5. Let b = y + p. Is 6/7 != b?
True
Let m(z) = z**2 - 3*z - 4. Let v = 3 - -2. Suppose v*d - 28 = -8. Let r be m(d). Is r >= 1?
False
Let x = 5233/1455 + 1/291. Are 5 and x unequal?
True
Suppose 0 = -4*i + 6*i + 5*p + 5, -19 = 4*i + p. Let y be -2 - (1 - i/(-2)). Let w(s) = s - 9. Let z be w(9). Which is bigger: z or y?
z
Suppose -4*m - 10 = -2*a + 10, 2*a = -m - 5. Suppose 3*t - p = -4*p - 6, 4*t + 3*p + 6 = a. Let n be (-2)/(-7) - 15/(-21). Which is smaller: t or n?
t
Let s = -11 + 23. Let j = s - 12.2. Which is smaller: -1 or j?
-1
Let d be 4/24*-2*3. Is 1 greater than d?
True
Suppose 0 = -2*n + 3*n - 5. Suppose 22 - 3 = -n*r + 3*p, p = -2. Which is greater: -3 or r?
-3
Let q(f) = -5*f**2 - 3*f - 6. Let t(g) = 2*g**2 + g + 2. Let c(u) = 3*q(u) + 8*t(u). Let b be c(-5). Let s = b - 19. Which is smaller: s or 8?
8
Let r = 489/7 - 70. Let u(m) = -2*m + 8. Let g be u(4). Is g >= r?
True
Let w be (-8)/60 - (-7)/15. Is w greater than or equal to -3?
True
Suppose -4*t + 6 = -2*t. Let v = -6 - -3. Let h = t + v. Which is smaller: h or -1?
-1
Let s = -136 - -1359/10. Is s > -2/5?
True
Let q = -3.6 + 4. Let w = -0.5 + q. Which is smaller: w or 1?
w
Let u = 0.3 - 0.2. Let j be (-66)/364*2 - -1. Let k = -12/13 + j. Which is smaller: k or u?
k
Let h = 178 + -94. Let p = -171/2 + h. Which is bigger: 0 or p?
0
Suppose q = g + 6, -q + 7 = q + 3*g. Suppose -6 = -q*v + 24. Let p(s) = s**3 - 7*s**2 + 7*s - 4. Let l be p(v). Is l >= 2?
True
Let t(x) = x**2 - x. Let q be t(0). Let k be (-1524)/54 - 4/(-18). Let w be ((-2)/12)/((-7)/k). Is w at least as big as q?
False
Let p = 0.04 - 10.04. Which is smaller: 0.2 or p?
p
Let f be (-14)/(-63) - 61/(-9). Is 6 bigger than f?
False
Let v(q) = -q - 9. Suppose 2*k - 6 = 0, -4*d - 17 = 3*k + 10. Let t be v(d). Which is smaller: -6/7 or t?
-6/7
Let k be 86/(-18) - 4/18. Let j be (2 + 0)*k/2. Let u = j - -3. Is u at most 1?
True
Suppose -7*x = -2*x + 5*w - 410, 5*w - 326 = -4*x. Let u = 39 - x. Let s be u/(-20) + (-1)/4. Is 3 not equal to s?
True
Let f be (-20)/77 + 16/(-56). Let p(n) = -n**2 - 2*n + 1. Let o be p(-3). Is f equal to o?
False
Suppose -4*a + 36 = 4*h, 3*a - 21 = 2*a - 5*h. Let m be ((-4)/(-6))/(12/99). Let j = m - a. Which is greater: j or -2?
j
Let j = -89 - -30. Is -1 at least as big as j?
True
Let t be (-36)/(-60) + 44/10. Is 6 at least t?
True
Let a be (-9)/3*(-7)/3. Let n(l) be the first derivative of l**2/2 - 5*l - 2. Let p | {
"pile_set_name": "DM Mathematics"
} |
1/4, 17?
p
Let g be (-4)/(-32) - 2/8. Let z = 3422 - 3422.5. What is the second biggest value in z, -1/7, g?
-1/7
Let z = -15480 + 15479.92. What is the biggest value in -4, z, -3, -10, 4?
4
Let t = -157/188 - -4/47. Which is the fourth smallest value? (a) 39 (b) t (c) -2 (d) 2/9
a
Let y be (374/77)/((-24)/70). Let d = 29/2 + y. Let a = -23 - -28. What is the biggest value in a, d, 0.2, 0.5?
a
Let o be ((-435)/54 + 6)/(31/93). Which is the fourth smallest value? (a) 4 (b) o (c) 0.2 (d) 2/5
a
Let v = -17750 - -17750.2. What is the second smallest value in v, -0.007, -0.1, -3.1?
-0.1
Let r = -0.03475 + 7.03475. What is the smallest value in 0, r, -2/9, -0.12, -5?
-5
Let g = 118 - 226. Let o = -113 - g. What is the second biggest value in 1/7, 4, o?
1/7
Let q = 78323/5 - 15665. What is the third biggest value in 21, 5, q, 3/8?
3/8
Let j = -141 - -144. Let x be ((-10)/(-45)*1)/(j/18). What is the second smallest value in x, 0.2, -3/5, -3?
-3/5
Let h be -13 - 2 - -7 - (-4 - 1). Let t = 4.15 + 1.85. What is the biggest value in 0.09, h, t, 4?
t
Let r be (1207/51 - 24) + (3/(-3) - 12/(-8)). Let k = -2 + 1. Let g be (k/5)/((-2)/(-5)). Which is the third biggest value? (a) g (b) -7 (c) r
b
Let n be (-2)/5 - (-34)/60. Let w = 2/5 + -1/15. Let z = 1162.67 - 1157.67. Which is the fourth smallest value? (a) 1 (b) w (c) z (d) n
c
Let u be 17/(-4) + 3/12. Let o = 52 + -27. Let l = 25.2 - o. What is the biggest value in 2, l, 0.1, u?
2
Suppose 0 = 4*n + s + 22422, -2460 = 4*n + 2*s + 19956. What is the second smallest value in 0.2, n, 1/3?
0.2
Let o = 401 - 383. Suppose 26*x = 23*x - o. Which is the smallest value? (a) x (b) 0.1 (c) -0.8
a
Let i = -324.44 + 333. Let y = i - 0.56. Let o = 2/75 - 79/150. What is the fourth biggest value in y, 0.5, -2/9, o?
o
Let r = 1/206 - -403/1854. Let t = r + 1/9. Let v = -43.8 - -44. What is the smallest value in -2/21, -2, v, t?
-2
Let i = -104.6581 + 0.6581. Let q = -57 + 62. Which is the biggest value? (a) i (b) q (c) -0.5
b
Suppose -3 = 3*l - 405. Let j be l/(-1005) + (-232)/285. What is the third smallest value in j, 0.4, -4?
0.4
Let w = -3.5 - -3. Let p = -32.71 + 32.71. What is the third biggest value in -43, p, w, 0.1?
w
Let c = 0.48477 - -0.14523. What is the second biggest value in -0.4, c, -0.1?
-0.1
Let s = 9469/2 + -17917/4. Which is the smallest value? (a) s (b) 5 (c) 0.3
c
Let i be -15*(-75)/(-45) - -29. Which is the second smallest value? (a) -0.32 (b) 3 (c) i (d) 1/10 (e) 0.2
d
Let q = 0.11 + -6.11. Let d be ((35/(-84))/(90/162))/((-126)/16). Which is the second smallest value? (a) d (b) -11 (c) q
c
Let g = -2443 - -2422. What is the biggest value in 4, -0.7, 3, -3/7, g?
4
Let g = 3098/21 + -443/3. Which is the second biggest value? (a) g (b) -2 (c) 0.01 (d) -15
a
Let x(q) = q**2 - 15*q + 14. Let s be 19 + (-1)/3*15. Let v be x(s). Which is the fourth smallest value? (a) 1/2 (b) -0.1 (c) v (d) 0.3
a
Suppose 0 = -6*r + 2*r. Let q = -283/2 + 140. Let z = -275 - -271. What is the second smallest value in r, z, q?
q
Let h = -32.7 + 34. Let b = -3.6 - h. Let f = b + 5.4. What is the second biggest value in -1/3, -2/13, f?
-2/13
Let m = -22146 + 22151. Which is the smallest value? (a) -1/7 (b) 4/7 (c) -2 (d) m (e) 412
c
Let f = -20 - -38. Suppose 2*o - 1 = 2*i - o, -4*i = -2*o - f. Suppose i*a - 27 = -2*a. What is the smallest value in -1, a, -2/9?
-1
Let q = 0.22 - 0.32. Let t = -3.5229 - 1.4771. What is the second biggest value in q, t, 1.29?
q
Suppose 15*k - 18*k + 6 = 0. Suppose -5*s + 10 = -5*j, -5*s = -k*j + 6*j - 10. Which is the second biggest value? (a) j (b) 2/9 (c) -0.5
a
Let k be (-28)/(-13) + (-70)/455. Suppose -n = -k*i - 20, i - 101*n + 1 = -105*n. Which is the third biggest value? (a) i (b) 5 (c) 2/11
a
Let n be (-2)/(1 - -1)*3474/2702. Which is the third smallest value? (a) n (b) -1/4 (c) 2/21 (d) 4/3 (e) -0.04
e
Let q = -267 + 802/3. Let g = -0.806 - 0.194. Which is the biggest value? (a) 6 (b) 2/9 (c) g (d) q
a
Let f(k) = -k**3 + 19*k**2 - k + 20. Let s be f(18). Let z = -1633/5 + s. What is the second biggest value in z, -2/37, -5?
z
Let q = -246.3 + 235. Let l = -3122 - -3133.3. Let u = l + q. Which is the biggest value? (a) u (b) -2 (c) 0.04
c
Let y = -12311.1 + 12311. Which is the third biggest value? (a) y (b) -4/7 (c) 1.5 (d) -2
b
Let v be -158*4/9*1. Let t be (-124)/2 + 264/(-33). Let h = t - v. Which is the third smallest value? (a) -3 (b) h (c) 8
c
Suppose 3*z + 16 = -z. Let s = -25.8 + 26. Let k be 1/3*4/20*-3. Which is the smallest value? (a) s (b) k (c) z
c
Let k = 0.0606 + -578.0606. Let j = k - -575. What is the third biggest value in -4/5, j, -11?
-11
Suppose i + 3*t + 47 = 46, 4*i - 2*t = 10. Which is the biggest value? (a) -3 (b) 13 (c) -2 (d) i
b
Let c(q) = 3*q**3 + 14*q**2 + 9*q + 5. Let k be c(-4). Let w be (k/(-2) - 1)/(246/410). What is the fourth biggest value in -0.4, w, 2, 15?
w
Let j = -6674 - -6664. Which is the biggest value? (a) 0.3 (b) 4 (c) j (d) -4/9
b
Suppose 2*p + 16 = 6. Let m be (-12)/16 + (-148)/(-208) + (-108)/234. Which is the biggest value? (a) 0.07 (b) m (c) p (d) -0.8
a
Let a = -16606 + 16594.5. What is the fifth biggest value in -0.2, 1, -5, a, 3/4?
a
Let w = 775 + -534. Let x = w - 242.45. What is the biggest value in 5, -5, x?
5
Let o be (17/102)/((3/21)/((-18)/(-7))). What is the second smallest value in 27/2, -2, 7, o?
o
Let x = 53.12 + -1.12. Let q = -139 + x. Let o = -88 - q. Which is the smallest value? (a) 1 (b) 7/3 (c) o
c
Let v = -28 + 16. Let w = -0.07 + -1.63. Let n = w + 3.7. Which is the third smallest value? (a) -1/4 (b) v (c) n
c
Let f = 74 + -72.9494. Let q = f + -0.0506. Which is the second biggest value? (a) -0.5 (b) -23 (c) q
a
Let r = -17 - -18. Let m = -0.6 + r. Suppose -204 = 4*k - 224. Which is the biggest value? (a) m (b) -0.4 (c) 0 (d) k
d
Let j(y) = -9*y + 109. Let u be j(12). Let g be (-12)/30 + 6/(-10). Which is the third smallest value? (a) -25 (b) g (c) u
c
Let r = 3539/2 + -1703. Let p = -67 + r. Let d be (-3)/(-30)*(-5)/2. Which is the biggest value? (a) p (b) d (c) 0.4
c
Let q = 0.5 - 0.2. Let m(p) = -p**2 - 22*p + 172. Let l be m(-28). Which is the biggest value? (a) l (b) 3/5 (c) q
a
Let u be (-5)/(15/(-117))*-2*(-60)/(-72). What is the biggest value in -1/5, u, 6, 2/5?
6
Let l = 666.023 - 666. What is the fourth biggest value in 0.5, -0.3, 0, l, 2?
0
Let y(c) = -3*c**2 - 2*c**3 + 12*c**2 + 10*c + c**2 + 7*c**2 + 3. Let b be y(9). What is the biggest value in b, 0.04, -4, -1/7?
b
Let x be ((-1)/7*(-504)/360)/(-2 + 1). What is the second biggest value in 307, 0.5, x?
0.5
Let i = 4 + 0. Let x = -23810 - -94005/4. Let p = x - -308. What is the second biggest value in i, -4/9, p, 5?
i
Let f = -5.0095 - 0.1425. Let t = 0.152 + f. Which is the fourth biggest value? (a) t (b) 3/5 (c) 4 (d) 5
a
Let u = 0.144 + -0.644. Let n = 2 - 3.4. Let j = n + 6.4. Which is the fourth biggest value? (a) u (b) j (c) 2/9 (d) -1
d
Let n = -0.834 + 1.034. Which is the fourth smallest value? (a) 0.43 (b) -2 (c) 0.4 (d) n (e) -0.3
c
Let k = 2391 + -9553/4. Let y be (8/(-14))/(33/(-308)*8). What is the third smallest value in 3, k, y, 1?
k
Let f be 6313/11505 - (-2)/39. What is the third biggest value in 12, f, 75, 4?
4
Let v be -1*(-14)/(-8) - (-4464)/1984. Which is the smallest value? (a) v (b) -3/20 (c) 5 (d) 4/3
b
Let h = 86 + -118. Let p = 2.802 + 0.198. Which is the biggest value? (a) -3/4 (b) -0.4 (c) p (d) h
c
Let o = -0.1917 + 0.1917. Which is the second smallest value? (a) 2/11 (b) o (c) -3.9 (d) -5
c
Let f = 5.096 + 0.004. Let k = 4.54 - f. Let w = 0.96 + k. Which is the fourth smallest value? (a) 0 (b) w (c) 0.5 (d) -0.5
c
Let p = -766 + 768. Let r = 5.06 + -0.26. Let k = r + -6.7. Which is the fourth biggest value? (a) p (b) k (c) -0.4 (d) 2/5
b
Suppose 0 = -5473*n + 5480*n - 28. What is the third smallest value in 2/3, 114, -0.1, n?
n
Let r = 3.17 + -0.78. Let g = -3 + r. Let q = g + 0.41. What is the fourth smallest value in 0.5, q, 1, -2?
1
Let b = -629 - -633. What is the second biggest value in 5, b, 224?
5
Let y = -15276 + 15224. Which is the second biggest value? (a) -2 (b) 5 (c) | {
"pile_set_name": "DM Mathematics"
} |
)/s - (-15)/9. Which is greater: 7/13 or l?
l
Let i be ((-46)/(-3))/(2/(-6)) + 3. Let m = 15 + i. Which is bigger: m or -30?
m
Suppose 0 = s - 2*s + 30. Let d be 3/s*-2*2. Suppose -4*n = -2*n. Which is greater: n or d?
n
Let d be 36/(-10)*(-110)/(-33). Let m be d/8*2/(-6). Which is smaller: 10 or m?
m
Let j = 13 + -67/5. Let q be ((-5)/2)/(-5)*-12. Let b be ((-3)/9)/((-1)/q). Which is greater: b or j?
j
Suppose 0 = -4*o - 3*v + 248, 5*v - 75 = -4*o + 181. Which is smaller: o or 58?
58
Let j(t) = -t**3 - 6*t**2 + 4*t + 7. Let b be j(-6). Let o = b - -48. Let p = o + -38. Is -6 equal to p?
False
Suppose -4*w + 1 + 4 = t, -2*w + 5 = t. Suppose w = -4*s + 15 + 17. Let j be (14/(-4))/(0 - 2/4). Is j > s?
False
Let j(q) = q**2 + 1. Let x(i) = 6*i**2 + 2*i + 3. Let t(z) = -5*j(z) + x(z). Let o be t(-4). Let v be (-1)/2*o - -3. Are -10/7 and v unequal?
True
Let z be 1/2*(0/(-4))/2. Which is smaller: 1/23 or z?
z
Suppose 0*c - 3*f - 21 = -c, -5*c - 2*f = -105. Suppose -k - 4 - c = 4*y, -5*k - 2*y - 35 = 0. Is k >= -5?
True
Let i be 3/(-21)*1 - 122112/(-126). Which is smaller: i or 970?
i
Let y be (-3)/2*16/(-4). Let v = y + 1. Suppose -5*q - 16 = -3*w, w + 3*w = q - v. Which is bigger: -1 or w?
-1
Let m = 63.2 - 63. Which is smaller: m or -71?
-71
Let l = 681023/53 - 12849. Is l < 0?
False
Let b = 1097 - 1097.08. Which is bigger: 18 or b?
18
Let g(h) = h**3 + 8*h**2 + 17*h + 70. Let m be g(-7). Suppose -o = -5*o - 76. Which is greater: o or m?
m
Let i be (1/4)/((-18)/16). Let n be ((-57)/(-45) - 1)/(132/290). Let q = i + n. Which is smaller: -1 or q?
-1
Suppose -2*z + g = -5, 4*g + g = 5*z - 5. Let q(s) = -2*s - 9. Let o be q(-7). Let c = z - o. Are 0 and c equal?
False
Let v be ((-33)/2)/(15/(-20)). Let a = 13 - v. Let h = -8 - a. Is 0 > h?
False
Let g = 15341/890 - -504/89. Let r = g - 23. Do r and 0.1 have the same value?
False
Let t = 198/37 - 2/111. Suppose 3*x + 19 = 31. Which is greater: t or x?
t
Let q = 108 + -78. Let n be 15/q*10/29. Do n and -1 have the same value?
False
Let w = -11 - -34. Let x = w + -23.1. Do x and 0 have the same value?
False
Let j = 25 + 1. Let p = j - 19. Let a = -46/165 - 4/33. Which is bigger: a or p?
p
Suppose 0 = -3*f + 3*d + 24, -4*f + 2*f + d + 16 = 0. Let w = -29 + 17. Let u = w + f. Which is smaller: 1 or u?
u
Suppose -4*y - 3*l = 6, 0 = 4*y - 5*l + 6*l + 2. Is y >= 81?
False
Suppose 1665 = s - 6*s. Let o = s + 8993/27. Let d be ((3/(-5))/(-3) + 460/575)/(-1). Which is smaller: o or d?
d
Let h = -6339/2 + 3253. Which is smaller: 83 or h?
83
Suppose 3*r + 3*v + 18 = 6*r, 2*r + 3*v + 3 = 0. Suppose 9*g - 12*g + 12 = 0. Suppose -g*t - 3*o - 6 = t, 15 = -2*t + r*o. Is -3 less than or equal to t?
True
Let r(b) = b**2 - 5*b + 4. Let l be r(4). Suppose l = -3*o + 12. Let t be (-16)/(-7) - (5 - o). Is -0.1 at most as big as t?
True
Let r = 540 + -520. Which is bigger: 5/4 or r?
r
Suppose 0 = -8*v - 127 - 561. Which is smaller: -88 or v?
-88
Let y = -0.08 - -0.01. Let s = 115.83 - 116. Let a = y - s. Do -1 and a have the same value?
False
Suppose -8*g - 126 = -22*g. Is g less than or equal to 7?
False
Suppose -v - 93 - 507 = 0. Let m be -1 + v/(-64)*(-4)/(-33). Is 1 not equal to m?
True
Let w be (-1)/(495/1804 - 2/8). Let t = 37 + w. Which is greater: 2 or t?
2
Let c(g) = g**2 + 10*g - 7. Let j be c(-11). Suppose 15 = j*s - 37. Let q = 6 - s. Is -7 less than q?
False
Let k = 5171 - 124087/24. Is k != 1?
True
Let y = -0.0024 + -1.9976. Let q = -2.97 - 0.03. Let i = q - 5. Which is bigger: i or y?
y
Let j = -1 + 1.03. Let w = 5913 + -5919. Is j at most w?
False
Let j be (17/(-68))/(-1 - (-25)/40). Let k = -3.2 - -3. Do j and k have the same value?
False
Let n be 5 - ((-627)/(-39) + 26/169). Is n != -12?
True
Let i(z) = -z**2 + 21*z. Let u be i(15). Suppose 0 = 5*m - u - 5. Do m and 19 have the same value?
True
Let d(l) = -7*l**2 + 24*l - 13. Let v(t) = -8*t**2 + 24*t - 13. Let j(i) = 6*d(i) - 5*v(i). Let q be j(16). Which is smaller: q or -142?
-142
Suppose -2*t - q + 202 = 70, -3*t + 199 = 2*q. Which is smaller: t or 63?
63
Let z be (-1)/((-45)/25 + 2). Let h be (121 - z)/3 - -3. Which is greater: 43 or h?
h
Let p be (2/(-3))/((-6)/45). Suppose p*q - 4*m + 116 = 0, -2*q - 5*m = -m + 52. Let n be (-10)/35 + q/14. Do n and -2 have the same value?
True
Let g = 2.596 - 2.6. Let h = g + -21.996. Let y = h - -22.1. Which is smaller: y or -7?
-7
Let b = 1436 + -1343. Which is bigger: 1 or b?
b
Let m = 6 - 10. Let z = -3 - m. Is 0.22 >= z?
False
Let d = 791 - 792. Is d less than -4?
False
Let x be 464/(-3) + (-420)/45 + 8. Which is smaller: -153 or x?
x
Let x = 8.593 + -8.71. Is -1/6 bigger than x?
False
Let z(g) = -g**2 - 8*g - 6. Let s(c) = c**3 - 2*c**2 - 9*c - 3. Let v be s(4). Let f be z(v). Let i = 53/115 - 6/23. Is i greater than f?
False
Let k = 562 + -136. Which is bigger: -0.1 or k?
k
Let g(h) = -2*h**2 - 47*h - 127. Let j be g(-18). Is -1/6 greater than or equal to j?
False
Suppose 4*d + 251 = -w, 345*d - 1059 = 4*w + 350*d. Which is smaller: -269 or w?
w
Suppose 0*h + 5 = -5*g - 2*h, 2*g + 3 = -h. Let r(n) = -n**3 - 12*n**2 - n - 7. Let q be r(-12). Let a be 6/(-8)*(38/8 - q). Which is smaller: g or a?
a
Let s = -139 - -140. Let t = 6.6 + 31.4. Which is smaller: s or t?
s
Let c = 10 + -11.9. Let u = c + 1.8. Which is greater: -2/33 or u?
-2/33
Let t = 88.3 - 84. Let b = 3.8 - t. Which is bigger: b or -1?
b
Let u(i) = 6*i**2 + 2*i + 133. Let o be u(0). Which is smaller: o or 132?
132
Let c be 10/(-1875)*5*5. Is c bigger than -17/2?
True
Let q be ((-245)/(-147))/((-1)/(-486)). Is 810 <= q?
True
Let n(s) = 4*s - 27. Let p be n(-1). Which is bigger: -30 or p?
-30
Let o = -687 + 692. Which is smaller: o or 3?
3
Let o = 374 - 335. Which is bigger: -0.3 or o?
o
Let d = -21/139 - 10737/695. Let s = -16 - d. Which is smaller: s or 1/3?
s
Let q = -39/25 + -9/100. Is q at least -1?
False
Suppose -12*t = 10*t + 1298. Are -59 and t non-equal?
False
Let x(i) = i**2 + 13*i + 39. Let g be x(-5). Is g equal to 1/40?
False
Let w(t) = -2*t**3 - 12*t**2 - 2. Let l be w(-6). Let c = 3045 - 8999/3. Let s = c - 46. Is s != l?
True
Let r(i) = i**3 - 7*i**2 - 17*i + 5. Let o be r(9). Let f = o + 3. Is f at least 17?
True
Let y be 0 + 0 + 14/2. Suppose -24 = 3*t - y*t. Let o = -556 - -1684/3. Do t and o have the same value?
False
Suppose -x - 64 = 5*y, -2*y - 20 = -3*x + 2*x. Is -45/4 < y?
False
Let i be 4*(2 + -1) + 0. Suppose 0 = -i*d - 0*d - 4*z + 16, d + 2 = z. Let n = 140 - 140. Which is smaller: n or d?
n
Let o be (-3 + -1)/((-2)/2). Let p = -2354 - -2354. Do o and p have the same value?
False
Let d be 2/(-5) + (-504)/(-735). Which is greater: d or -1?
d
Let l be 6864/24122 + 11/((-924)/24). Which is greater: l or -1?
l
Let y(b) = 3*b - 24. Let v be y(16). Suppose 28*t - 12 = v*t. Suppose 2*z = 6, 5*h - 23 = 2*z - t*z. Which is smaller: 5 or h?
h
Suppose 2*j = 3*j, 2*j = -2*d + 14. Suppose -n + 1 = -4. Suppose -2 + d = -n*a. Which is smaller: -8/5 or a?
-8/5
Let a be (-10918)/6 + (-8)/60*10. Is a equal to -1821?
True
Suppose s - g - 27 = 0, 0 = 3*s + 5*g - 20 - 21. Is 0 >= s?
False
Let u = 41.3 - 41. Let n be 8/8 + 8/(-5). Which is smaller: u or n?
n
Let r(d) = d**2 + 3*d - 2. Let v be r(-2). Let i = -2.39 + 0.39. Does v = i?
False
Suppose -5*o - 237 = 28. Is -52 at most as big as o?
False
Suppose 0 = -4*s + s - 24. Let f = s + 13. Let a be 0/((-12)/(1 - f)). Is 1 less than a?
False
Suppose 0*h + h - 3*a + 26 = 0, h = -2*a - 16. Let w = 1 + h. Suppose -4*c + 4*u - 77 = 3*u, -c = -5*u + 43. Is c <= w?
False
Let s(l) = -2*l + 1. Let c(j) = -j - 5. Let u(p) = -c(p) - 4*s(p). Let q be u(0). Let m be (4/57)/(2/3). Which is greater: m or q?
q
Suppose 19*j = 14*j + 1275. Let l be (-1)/(-2) + j/(-630). Which is bigger: l or -1?
l
Suppose -4*y - z = 4*z + 28, -5*y = -z + 6. Let g(w) = -8*w + 8*w - w**3 + 1 + w**2. Let i be g(2). Is i greater than y?
False
Let b = -1052.15 - -1052. Let w = -0.6 + 0.7. Which is bigger: w or b?
w
Let t = 0.0383 - 0.3383. Are -53 and t nonequal?
True
Suppose -5*o - 16 = 2*b, b = 4*b - 2*o - 14. Suppose -5*z - b*h - 1 = 0, -4*h + 1 = 5*z - 2. Let j be 2 + (-2 - 4/(-26)). Is z less than or equal to j?
True
Let o = 235 - 231. Is -0.04 equal to o?
False
Let b(j) = -j**2 - 7*j - 1. Let w be b(-7). Let f be 42/(-105) | {
"pile_set_name": "DM Mathematics"
} |
divide s?
True
Let d(p) = -2*p**3 + 7*p**2 - 5*p. Let k be d(4). Let v be -1 + 1 - (-2 + k). Is 10 a factor of v*(-3 + 4) - -2?
True
Let g(s) be the third derivative of s**5/60 - s**4/8 - 5*s**3/6 + 6*s**2. Let l be g(5). Suppose l*u - 3 - 82 = 0. Is u a multiple of 11?
False
Let j(h) be the second derivative of -23*h**5/10 + h**4/12 - h**2/2 - 13*h. Is 28 a factor of j(-1)?
False
Suppose 0*h - 570 = -h + m, 4*m + 1146 = 2*h. Is h a multiple of 45?
False
Suppose -5*a + 3*k = 19, -11 = -5*a - 5*k - 46. Let h = 2 - a. Does 7 divide h?
True
Let t be 24/(-3)*(-11)/2. Let b = -36 + t. Is 2 a factor of b?
True
Suppose 3*n = -5 + 14. Suppose -n*i = 17 - 119. Suppose -5*l = -261 - i. Is 11 a factor of l?
False
Let k = -579 - -1550. Is 71 a factor of k?
False
Let n = 197 - 67. Let d = 238 - n. Is 18 a factor of d?
True
Suppose -171 = -19*q - 0*q. Suppose 3*g + 288 = q*g. Does 9 divide g?
False
Let f(n) = -n**2 - 4*n - 3. Let r be f(-1). Suppose r = -9*d + 249 + 75. Is d a multiple of 12?
True
Let b be (-1)/3 - 12/(-9). Let g(m) = 163*m**2 - m + 3. Is g(b) a multiple of 15?
True
Let d(z) = -z + 3. Suppose 3*i + 15 = -18. Let a be d(i). Suppose -4*o + a = -18. Does 8 divide o?
True
Let z = -131 + 134. Suppose -125 = -z*u + 343. Does 13 divide u?
True
Let g(j) = -j + 9. Let q be g(-10). Suppose -1 + q = y + k, -y + 24 = -k. Is y a multiple of 21?
True
Let j be ((-6)/(-5))/(3/(-15)). Let q be (-18)/(1 - (-10)/j). Does 32 divide (-12)/(q/(-8) + 3)?
True
Suppose 0 = 2*b - 4 - 4. Suppose 44 - 184 = -b*c. Is c a multiple of 19?
False
Let p(i) = i**2 + 3*i + 5. Let j be p(-2). Suppose -5*l + 431 = -t, 0 = -j*l + 2*t - 3*t + 265. Is 9 a factor of l?
False
Let t = 4555 + -1363. Does 19 divide t?
True
Suppose 20611 = 16*l - 20557. Does 10 divide l?
False
Let y(o) be the first derivative of o**7/840 - o**6/72 + o**5/40 - o**4/8 - 2*o**3/3 - 5. Let w(v) be the third derivative of y(v). Is 6 a factor of w(5)?
True
Let z = -325 - -331. Does 5 divide z?
False
Let n = 754 + -70. Is n a multiple of 18?
True
Suppose 4*l = -l + 5*t + 20, 4*l - 10 = t. Suppose 5*o = l*o + 12. Suppose 4*p - 55 - 49 = 4*w, o*p = -5*w + 95. Does 25 divide p?
True
Let s be 81 + (3 - (3 + -3)). Suppose 3*v = v + s. Suppose -20 = -2*w + 2*t, -2*w + 5*t - 10 = -v. Is 4 a factor of w?
False
Let p(k) = -2*k**3 + k**2 + k. Let v be p(-1). Suppose 3*w - 2*w = b - 35, v*w = 0. Does 16 divide ((-14)/b)/(1/(-80))?
True
Suppose -j + 40 = 3*j. Let s = -8 + j. Suppose -3*l + 9 = 5*c - 1, c = -s*l - 5. Does 3 divide c?
False
Let c be (-6)/12*(2 - 2). Suppose l = -c - 4. Is (-196)/l*(0 - -1) a multiple of 20?
False
Suppose -32*z + 33*z = 270. Is z a multiple of 15?
True
Let q = 221 - 53. Suppose 5*k = q + 237. Is k a multiple of 17?
False
Let l(s) = 9*s - 6. Let f = 30 - 23. Let h be l(f). Let m = h + -30. Is 9 a factor of m?
True
Suppose t + 3 = -f, 3*f + 23 = -t + 5*t. Let u(p) = 1230 - 1213 - p - 5*p + 0*p. Is u(f) a multiple of 11?
False
Let k = 612 + -395. Does 6 divide k?
False
Suppose 5*z - 2*u - 3*u - 15 = 0, -4*z = 4*u - 4. Is 41 a factor of 102/1 + (4 - (z + -1))?
False
Let p(l) = l**2 - 3*l + 8. Let t be p(12). Let b = 173 - t. Does 3 divide b?
True
Suppose 1002 = 3*u - 0*d + 3*d, 3*d - 1332 = -4*u. Does 33 divide u?
True
Suppose 4*a = -3*f + 109, 0 = 5*a + 4*f - 108 - 28. Let p be (-5888)/(-28) + (-8)/a. Suppose -8*n = -5*n - p. Is n a multiple of 21?
False
Let l be ((-12)/(-10))/((-5)/(-25)*2). Suppose 3*s - 5*c - 19 = 0, 6*c = -s + l*c - 3. Is s even?
False
Let i = -38 - -56. Let m = 0 + 2. Suppose -i = k - m*k. Is 13 a factor of k?
False
Suppose -2754 = -17*c - c. Does 7 divide c?
False
Let m be 1 - 3184/80 - 2/10. Let i(n) = 69*n. Let g be i(-1). Let d = m - g. Is 10 a factor of d?
True
Suppose b = 3*y - 3*b + 20, 0 = 4*y + 4*b + 8. Let v be y/(-2) + 44/22. Suppose 0 = 2*a + 3*a - n - 192, v*a - 5*n = 162. Does 19 divide a?
True
Let v(u) = u**3 - 16*u**2 + 17*u + 2. Let m be v(15). Suppose 0 = 2*j - 188 - m. Does 11 divide j?
True
Let b be (48/(-10))/(3/15). Does 15 divide (-272)/(-3) - (-16)/b?
True
Let t = -27 - -87. Suppose -2*y - 4*b + t = 0, 2*b + 4 - 2 = 0. Let n = y - 14. Is n a multiple of 6?
True
Let a(c) = c**3 - 3 - 7*c**2 - 2*c**3 - 7 - 4*c + 2*c. Does 35 divide a(-8)?
True
Let z(o) = -4*o**3 - 8*o**2 + 22*o - 16. Does 39 divide z(-8)?
False
Let l(m) = m**3 - 27*m**2 + 96*m + 24. Does 17 divide l(24)?
False
Let g(p) = 6*p**3 + 2*p**2 - 2*p - 1. Let z be g(-2). Let y = 64 + z. Does 27 divide y?
True
Let b(q) = -q**2 - 7*q - 3*q - 8*q - 20. Does 16 divide b(-13)?
False
Suppose -3*x + 28 = 4*x. Does 7 divide 14/(6 - 0 - x)?
True
Let z(h) = 2 - 6*h + 3*h**2 + 3*h + 2*h**2. Let v be z(1). Suppose -v*d = 3*k - 37 - 27, 65 = 3*d - 2*k. Does 6 divide d?
False
Let d(j) = -21*j + 14. Let t(x) = 21*x - 13. Let u(q) = 4*d(q) + 3*t(q). Is 17 a factor of u(-3)?
False
Suppose -5*d - 2*v = -34, -3*d - 10 = -4*d - 2*v. Let q = d - 6. Suppose 3*b - 4*g - 58 - 118 = q, -2*g = -2*b + 116. Does 14 divide b?
True
Let p be (0 - 0)/(7/7). Suppose -2*q + 4*q - 106 = p. Does 13 divide q?
False
Suppose 932 = 2*r + 4*o, 5*o - 1299 = -5*r + 1036. Is 23 a factor of r?
False
Let l(k) = -162*k**3 + 2*k**2 - k - 2. Is l(-1) a multiple of 5?
False
Let o(i) be the third derivative of i**4/12 + i**3/3 + 4*i**2. Let q be o(4). Is (15/q)/(2/52) a multiple of 16?
False
Suppose -8*g + 2584 = -4*g. Is 19 a factor of g?
True
Let x(b) = -2*b - 83. Let l be x(9). Let i = l - -137. Is 18 a factor of i?
True
Is 4 a factor of 90*(-10)/(-40)*40?
True
Let g(x) = -12*x + 15. Let b be g(-18). Let m = 31 - 27. Suppose -11 = m*i - b. Does 11 divide i?
True
Let c be 3/12*528/4. Suppose -c*z + 30*z = -702. Is 39 a factor of z?
True
Let n(o) = -o**3 + 9*o**2 + 12*o - 11. Let x be n(8). Let a = x + -47. Is 12 a factor of a?
False
Let t(z) = -z**3 - 9*z**2 - 2*z + 10. Let v be t(-9). Suppose 27*d = v*d - 133. Is d a multiple of 13?
False
Let c(n) = -n**2 + 16*n - 26. Let p be c(14). Suppose p*v - 66 + 22 = -4*h, -2*v - 2*h = -38. Is v a multiple of 7?
False
Let p(h) = h**2 - 23*h - 120. Is p(39) a multiple of 9?
True
Let d be -4 - (-4 - 0 - 4). Suppose -3*o = r + 4*r - 20, -d = -r. Suppose -10*x + 5*x + 295 = o. Does 16 divide x?
False
Let a = -1503 - -1545. Is 4 a factor of a?
False
Let p = 59 - 49. Suppose -p*o + 505 = -5*o. Is o a multiple of 11?
False
Let f(u) = 35*u**2 + 2*u. Let r be f(-2). Let m = 301 - r. Is m a multiple of 16?
False
Let m(d) = -d**3 + 8*d**2 - 6*d - 13. Let i be m(7). Is 117 + -2*9/i a multiple of 26?
False
Suppose -2*c + 17 = j, -c + 70 = 4*j - 12. Let f = j - -3. Does 4 divide f?
True
Suppose 8*h - 308 = 30*h. Let l(b) = 2*b**2 + b + 1. Let p be l(-4). Let c = h + p. Is 15 a factor of c?
True
Let u(s) = s**3 - 7*s**2 + 11*s - 5. Let w be u(7). Let r be 30/(-20)*2*-1. Suppose w = k + r*k. Is 8 a factor of k?
False
Let f be (3 + 0 - -3) + -3. Let z = f + -1. Suppose 0*i + 3*t = i + 1, 1 = -z*i + 5*t. Is i even?
True
Let u(l) = -4*l - 4. Let i(y) = -4*y**2 + y. Let f be i(1). Let w be u(f). Let o = -1 + w. Is 5 a factor of o?
False
Let n(o) be the third derivative of -1/60*o**5 - 1/24*o**4 + 5*o**3 + 0 + o**2 + 0*o. Is 10 a factor of n(0)?
True
Suppose 50*i = 67*i - 2771. Is 3 a factor of i?
False
Let d(r) = r**3 - 4*r**2 + 9*r - 5. Let h be d(6). Let m = -89 + h. Does 32 divide m?
True
Let f(d) = -d**3 - 9*d**2 + 9*d + 5. Let i(t) = -6*t + 21. Let v be i(9). Let k = 23 + v. Is f(k) a multiple of 15?
True
Suppose -29*n = -25*n + 12, 2*n = -5*x + 8209. Does 14 divide x?
False
Suppose -2*v = 3*n - 47, -3*v + 0*v - 15 = 0. Suppose -g - q = -n - 11, g + 2*q = 34. Is g a multiple of 4?
False
Suppose 820 = -10*c + 15*c. Suppose 198 = 4*w - 5*h, -c = w - 4*w - 4*h. Is 10 a factor of w?
False
Is 86 a factor of 1375 + 1*1/1*1?
True
Suppose -720 = -5*p + 2*b + 88, 5*p + 3*b = 813. Does 17 divide p?
False
Let f(k) = k**3 - 7*k**2 + k - 6. Let o be f(7). Let d be 0 - (-16 + (2 - o)). Suppose 0 = 4*b - 5 - d. Is b a multiple of 5?
True
Let i be 16 - 5/(-15)*-3. Does 9 divide i/((-5)/(-150)*9)?
False
Suppose -368 = 40*g - 44*g. Is 224/(-6)*(-207)/g a multiple of 12?
True
Let r = -6 - -16. Is 4198/10 + 2/r a multiple of 53?
False
Suppose -2*h - 19 = -4*g - 117, 3*g - h = -72. Let u be g/(-6) + (-8)/(-48). Suppose -5*j - 46 | {
"pile_set_name": "DM Mathematics"
} |
mmon divisor of 72 and 36?
36
Calculate the greatest common divisor of 3006 and 144.
18
Calculate the greatest common factor of 60 and 40.
20
What is the highest common factor of 2522 and 485?
97
What is the greatest common factor of 24 and 16?
8
Calculate the greatest common factor of 650 and 50.
50
What is the highest common divisor of 118 and 19706?
118
What is the greatest common factor of 5350 and 25?
25
Calculate the greatest common factor of 423 and 564.
141
Calculate the greatest common factor of 390 and 180.
30
What is the greatest common factor of 14544 and 48?
48
Calculate the highest common divisor of 48 and 1424.
16
What is the highest common factor of 51 and 6?
3
What is the greatest common divisor of 30 and 255?
15
What is the highest common divisor of 4510 and 110?
110
Calculate the highest common divisor of 284 and 140.
4
What is the greatest common divisor of 51 and 187?
17
What is the highest common factor of 5268 and 12?
12
Calculate the greatest common divisor of 685 and 10.
5
What is the highest common factor of 147 and 483?
21
What is the greatest common divisor of 20 and 45?
5
Calculate the greatest common divisor of 3192 and 171.
57
What is the greatest common divisor of 17 and 493?
17
Calculate the highest common factor of 14 and 564.
2
Calculate the highest common divisor of 122 and 4331.
61
What is the highest common factor of 3 and 507?
3
What is the highest common divisor of 407 and 33?
11
Calculate the highest common factor of 34575 and 75.
75
What is the highest common divisor of 83 and 415?
83
Calculate the greatest common factor of 697 and 123.
41
Calculate the greatest common factor of 63 and 17829.
63
Calculate the highest common factor of 3196 and 141.
47
What is the highest common divisor of 184 and 506?
46
Calculate the highest common factor of 2040 and 150.
30
What is the highest common divisor of 1036 and 56?
28
What is the greatest common factor of 23 and 184?
23
What is the greatest common divisor of 272 and 336?
16
Calculate the highest common divisor of 187 and 12529.
187
What is the greatest common factor of 54 and 102?
6
What is the greatest common divisor of 1581 and 51?
51
Calculate the highest common divisor of 70 and 110.
10
Calculate the greatest common factor of 348 and 319.
29
What is the highest common factor of 7 and 13993?
7
What is the highest common divisor of 138 and 7682?
46
What is the highest common factor of 2279 and 43?
43
Calculate the greatest common divisor of 18195 and 30.
15
What is the greatest common divisor of 25 and 580?
5
Calculate the highest common divisor of 128 and 560.
16
Calculate the highest common factor of 46 and 621.
23
Calculate the highest common divisor of 416 and 1976.
104
What is the greatest common factor of 424 and 159?
53
Calculate the highest common factor of 567 and 837.
27
Calculate the greatest common factor of 1617 and 11.
11
What is the highest common divisor of 2 and 287?
1
Calculate the greatest common divisor of 5731 and 11.
11
What is the highest common factor of 9443 and 133?
133
What is the highest common divisor of 74 and 8732?
74
What is the greatest common factor of 28 and 273?
7
Calculate the highest common factor of 112 and 4816.
112
Calculate the greatest common factor of 696 and 6554.
58
Calculate the highest common factor of 6 and 16.
2
Calculate the highest common factor of 81 and 1593.
27
Calculate the highest common divisor of 364 and 559.
13
What is the greatest common factor of 72 and 6504?
24
What is the highest common factor of 165 and 60?
15
What is the greatest common factor of 406 and 14?
14
Calculate the greatest common divisor of 40 and 7640.
40
What is the greatest common factor of 44 and 66?
22
What is the highest common factor of 3082 and 230?
46
Calculate the greatest common factor of 11482 and 2.
2
Calculate the greatest common factor of 16 and 312.
8
What is the highest common divisor of 52 and 1404?
52
Calculate the highest common divisor of 21 and 12362.
7
What is the greatest common factor of 248 and 186?
62
What is the greatest common factor of 102 and 12478?
34
Calculate the greatest common factor of 46 and 1840.
46
Calculate the greatest common divisor of 4 and 1244.
4
What is the highest common divisor of 2044 and 84?
28
What is the greatest common divisor of 21 and 476?
7
What is the highest common factor of 1512 and 999?
27
Calculate the greatest common divisor of 114 and 152.
38
Calculate the greatest common divisor of 462 and 1782.
66
Calculate the highest common divisor of 37 and 1073.
37
What is the highest common factor of 225 and 11880?
45
Calculate the greatest common factor of 12 and 150.
6
Calculate the greatest common divisor of 54 and 6.
6
Calculate the highest common divisor of 93 and 27.
3
Calculate the greatest common divisor of 184 and 10.
2
Calculate the greatest common divisor of 104 and 416.
104
Calculate the greatest common factor of 6847 and 82.
41
Calculate the highest common factor of 119724 and 66.
66
Calculate the greatest common divisor of 456 and 44688.
456
What is the greatest common divisor of 2040 and 68?
68
What is the highest common divisor of 16 and 656?
16
What is the highest common divisor of 352 and 992?
32
Calculate the greatest common factor of 139 and 2224.
139
What is the highest common divisor of 560 and 360?
40
What is the highest common factor of 42 and 84?
42
Calculate the highest common divisor of 297 and 132.
33
Calculate the greatest common divisor of 8 and 8.
8
Calculate the greatest common divisor of 43 and 2107.
43
What is the highest common factor of 40 and 5?
5
Calculate the greatest common divisor of 14 and 420.
14
Calculate the greatest common divisor of 1326 and 1020.
102
Calculate the greatest common divisor of 3 and 159.
3
What is the greatest common divisor of 30 and 498?
6
What is the highest common factor of 13706 and 154?
154
Calculate the greatest common factor of 68 and 340.
68
What is the highest common divisor of 1476 and 126?
18
What is the highest common factor of 412 and 1957?
103
Calculate the greatest common factor of 13 and 221.
13
Calculate the greatest common divisor of 80 and 112.
16
What is the greatest common divisor of 124 and 116?
4
Calculate the highest common factor of 28 and 1316.
28
Calculate the greatest common factor of 90 and 81.
9
Calculate the highest common factor of 4816 and 860.
172
Calculate the greatest common factor of 98 and 70.
14
Calculate the highest common divisor of 44 and 1276.
44
Calculate the greatest common factor of 168 and 56.
56
Calculate the highest common divisor of 597 and 3.
3
What is the greatest common factor of 42 and 854?
14
Calculate the greatest common factor of 1080 and 126.
18
What is the greatest common factor of 4123 and 2604?
217
Calculate the greatest common divisor of 14381 and 73.
73
What is the greatest common factor of 228 and 1311?
57
What is the highest common factor of 9 and 52812?
9
Calculate the greatest common divisor of 2840 and 40.
40
What is the greatest common divisor of 81 and 72?
9
What is the greatest common factor of 286 and 22?
22
Calculate the greatest common divisor of 12 and 101616.
12
What is the greatest common factor of 37 and 12469?
37
Calculate the highest common divisor of 357 and 21.
21
What is the highest common divisor of 40 and 320?
40
Calculate the highest common factor of 22 and 11.
11
What is the greatest common factor of 17982 and 74?
74
Calculate the highest common factor of 165 and 1089.
33
What is the greatest common divisor of 2134 and 970?
194
What is the greatest common factor of 40 and 60?
20
What is the highest common factor of 25 and 45?
5
What is the highest common factor of 27 and 18441?
27
What is the greatest common divisor of 2015 and 845?
65
Calculate the highest common factor of 279 and 31.
31
What is the highest common factor of 2 and 34?
2
What is the greatest common factor of 77 and 165?
11
What is the greatest common divisor of 2331 and 444?
111
What is the greatest common divisor of 38 and 247?
19
Calculate the highest common factor of 256 and 32.
32
What is the greatest common factor of 19796 and 196?
196
What is the greatest common divisor of 154 and 264?
22
What is the greatest common divisor of 15 and 955?
5
What is the hi | {
"pile_set_name": "DM Mathematics"
} |
ch is bigger: -1 or 38/15099871?
38/15099871
Which is smaller: -3933/3790 or 4?
-3933/3790
Is -113744 equal to -12056937/106?
False
Is 55137 at most 2/23?
False
Is -3 greater than or equal to 61413246?
False
Which is bigger: 8682251 or 8682250?
8682251
Are 1212454 and 1212436 non-equal?
True
Which is smaller: 5961380 or 5961378?
5961378
Is 120579968 at most 120579968?
True
Do 0 and 0.34202075 have the same value?
False
Which is smaller: -14359773 or -14359774?
-14359774
Which is smaller: 1281462 or 6.8?
6.8
Is -5463298 greater than -5463298?
False
Is -2/3 at least 2830770?
False
Is 1693200 greater than 1693203?
False
Do 1 and 2229/63170 have different values?
True
Which is greater: -40269 or -40755?
-40269
Is 745586 != 745466?
True
Is 75395696 equal to 75395698?
False
Which is smaller: -19893735 or -19893734?
-19893735
Which is smaller: 1/49497868 or 1?
1/49497868
Which is greater: -1 or -28/3361097?
-28/3361097
Is 766850 at most as big as 766848?
False
Which is bigger: -75/17123641 or -1?
-75/17123641
Which is greater: 5 or 58844/13925?
5
Is -1974814 at most as big as -1974815?
False
Which is greater: -10526 or -11446?
-10526
Which is smaller: -53519/705 or -75?
-53519/705
Which is smaller: 61999847 or 61999846?
61999846
Is 109309624 < 109309623?
False
Which is greater: -1 or -1691/1015680?
-1691/1015680
Is 380197 < 0.0219?
False
Is -41928131/2 equal to -20964067?
False
Which is greater: 1029482 or 1029487?
1029487
Is 87006 at most as big as 87105?
True
Which is smaller: -26 or 4611867?
-26
Which is bigger: -3617704 or -3617701?
-3617701
Which is bigger: 267522664 or 802567988/3?
267522664
Which is bigger: -2318/21623 or 0?
0
Which is smaller: -682/58051 or -1?
-1
Is 10 != -75112.3?
True
Are 96 and -554955 unequal?
True
Does -1413529 = -1413525?
False
Which is greater: -42022629/4 or -10505657?
-10505657
Which is bigger: 2376 or 259843?
259843
Is 616.1786 >= 4?
True
Is 40301388 != 40301392?
True
Is 1005/1574 != 1?
True
Is -1 < 2/6032539?
True
Which is smaller: -1 or 2292/18485?
-1
Is -1584940 less than -0.0038?
True
Is -30238 bigger than -30231?
False
Which is bigger: -10867355/3 or -3622452?
-10867355/3
Is 8.6 > 16/22525?
True
Is 700027 greater than 700032?
False
Is -2/7 at least 2041/23986?
False
Is 106 smaller than -0.95706?
False
Which is smaller: 24.996 or -901?
-901
Are 0.0034738 and -57 equal?
False
Is -413143 <= -413140?
True
Which is smaller: -3403591.5 or 3/34?
-3403591.5
Which is greater: 52 or -15.85386?
52
Which is smaller: 216 or 156152?
216
Is -226.8807 <= -0.1?
True
Are 45 and 44091/962 equal?
False
Which is smaller: -1/305841 or 1?
-1/305841
Which is greater: -1/15417231 or 1?
1
Is -6956876 <= -6956875?
True
Which is smaller: -1 or -100/4890439?
-1
Is -470802545 at least -470802544?
False
Which is greater: -199396047 or -199396046?
-199396046
Is -252640966 > -252640964?
False
Is -0.13 less than -3958961?
False
Which is smaller: -2/12889203 or 0?
-2/12889203
Which is greater: -278.1577082 or 0?
0
Which is smaller: -1216 or 5/18202?
-1216
Is 2665516/19 at least as big as 140290?
True
Which is bigger: 527541 or -7?
527541
Which is greater: 417584 or 417929?
417929
Is -5683 greater than or equal to -471726/83?
True
Which is smaller: 258 or 139078/539?
258
Which is smaller: 20/3264647 or 0?
0
Is -11/30804 smaller than -211.1?
False
Are 0 and -1/162692794 nonequal?
True
Is 544 less than or equal to -1810?
False
Which is smaller: 13306 or 11961?
11961
Is -1/1179 >= 165520?
False
Which is greater: -29188312 or -29188326?
-29188312
Which is greater: -36/188927269 or -1?
-36/188927269
Which is smaller: -12 or -4354441?
-4354441
Which is bigger: -663762 or -10?
-10
Which is bigger: 132415 or 132416?
132416
Which is bigger: 1580668 or 1580672?
1580672
Which is smaller: -0.3 or -14260975?
-14260975
Which is smaller: 16612562 or 16612561?
16612561
Is -367/289254 != -1?
True
Which is greater: 15150324 or 15150326?
15150326
Is 0 < 10/116169871?
True
Is -375227 greater than -376020?
True
Is 0 less than -37/2757247?
False
Is -995912 less than -6.3?
True
Is -1099330 <= -1099734?
False
Is 4/34309071 at most 0?
False
Do -81923/82 and -1000 have the same value?
False
Which is greater: -71109969/2 or -35554986?
-71109969/2
Is 1 >= -1/9170808?
True
Is -964 at most -371556/385?
False
Which is smaller: 770/71773 or -1?
-1
Which is smaller: 105226/1591 or 65?
65
Which is bigger: -57 or 0.0998004?
0.0998004
Which is bigger: 3 or 185635/6?
185635/6
Which is bigger: 1 or 8/294027?
1
Which is bigger: 1373016 or 1373013?
1373016
Which is bigger: 10183810 or 3/14?
10183810
Is -3611501 smaller than -3611503?
False
Which is bigger: -2545/14447 or 1?
1
Which is smaller: 44701518 or 44701517?
44701517
Which is smaller: 9/2287111 or 0?
0
Is 10555/10438 equal to 2?
False
Which is bigger: -1 or 107/260455?
107/260455
Which is bigger: 7406184 or 7406309?
7406309
Which is smaller: 848800817 or 848800816?
848800816
Which is smaller: -1331961 or -1331764?
-1331961
Is 16730.777 < 2?
False
Which is bigger: 17905440.9 or 1?
17905440.9
Do 3184187 and 28657684/9 have the same value?
False
Do 0 and 505/28852 have the same value?
False
Is -16734/731 greater than -24?
True
Is -24101280 less than -24101281?
False
Which is bigger: -6907/284 or -24?
-24
Is -2 equal to -53859/25565?
False
Is -363 at least as big as -0.5210195?
False
Which is smaller: -15739/87670 or -1?
-1
Which is smaller: 124943 or 124971?
124943
Which is bigger: 1 or -1/25041869?
1
Is 314/99193 at most -1?
False
Which is smaller: 113/933495 or 2/9?
113/933495
Which is smaller: -5672342 or -5672341?
-5672342
Which is smaller: -1 or 2/23389547?
-1
Which is bigger: 3854293/6 or 642383?
642383
Is -1/1171668620 at least as big as -1?
True
Which is smaller: -102685 or -102686?
-102686
Is 0.8 less than or equal to 56261?
True
Which is smaller: -9906264 or 1/4?
-9906264
Which is bigger: 372.5 or 0.236?
372.5
Which is smaller: 1536/159163 or 0?
0
Is 448497 at most 448507?
True
Is 5746347 < 0.035?
False
Which is bigger: 3 or 18609/9190?
3
Are 4/2911635 and 1 equal?
False
Which is smaller: -103794 or -103783?
-103794
Which is greater: -4410547 or -4410554?
-4410547
Which is bigger: 8264 or 8462?
8462
Which is greater: -17 or 0.02327663?
0.02327663
Is 61/1958801 at least 1?
False
Is -42/11 > 121.295?
False
Which is smaller: -2 or 199101.826?
-2
Which is smaller: -3639683/88 or -41360?
-3639683/88
Which is bigger: -297684/47 or -6334?
-297684/47
Which is smaller: -969 or -173403/179?
-969
Is 103745615 at most as big as 103745619?
True
Is 1 < -2/40108857?
False
Which is smaller: 1 or 1/15812733?
1/15812733
Which is greater: -2.28 or -190654?
-2.28
Is -14842163 equal to -14842165?
False
Which is bigger: 4/5413589 or -1?
4/5413589
Which is bigger: 777 or 429035/552?
429035/552
Are -21802751 and -21802746 equal?
False
Which is greater: -27/1381274 or 1?
1
Which is greater: 76433 or 1910838/25?
1910838/25
Is -3616730604/11 bigger than -328793692?
True
Which is greater: -43219986 or -43219974?
-43219974
Which is bigger: -128 or 50955?
50955
Is 66/71 equal to -10055?
False
Does -51 = 422617?
False
Is -1 greater than -1/72508645?
False
Which is greater: 1888754 or -2/7?
1888754
Which is smaller: 10 or 75468/7661?
75468/7661
Is -8563877 at least -0.1?
False
Are -13.575598 and 1/3 unequal?
True
Does 3/10119937 = -0.1?
False
Which is smaller: -5444 or -647946/119?
-647946/119
Do -1637315 and -0.8 have the same value?
False
Is 244618 not equal to 244629?
True
Is -9647851/4 at most as big as -2411962?
True
Which is smaller: 1 or -906/449251?
-906/449251
Which is smaller: 0.2 or -20158944?
-20158944
Which is smaller: -516 or -2.892546?
-516
Is 87414282 equal to 87414282?
True
Which is smaller: -2 or 202615?
-2
Which is bigger: 6 or 10712/2359?
6
Is -43620 bigger than -1221363/28?
True
Which is bigger: -6589 or 243?
243
Is -10767813 < -2/9?
True
Which is smaller: 114687 or 114881?
114687
Which is smaller: 890365 or 3561461/4?
890365
Do 66.26606 and -2/31 have the same value?
False
Is -1 at most as big as 56/55084933?
True
Which is greater: 6057 or -3/301?
6057
Which is smaller: -5/5507597 or 1?
-5/5507597
Does -2/7876583 = -1?
False
Is -2473579 smaller than -2473575?
True
Is -3 >= 47990644?
False
Which is smaller: -0.69 or -164149?
- | {
"pile_set_name": "DM Mathematics"
} |
sqrt(363) + 1))*-6))*4*1)**2.
1728
Simplify ((sqrt(24) + sqrt(96))*-4 + sqrt(96)/(sqrt(4)*-2))/(((-2*sqrt(132) + sqrt(132))*6)/sqrt(11)).
25*sqrt(2)/12
Simplify ((sqrt(91) + (1*sqrt(91) - sqrt(91)))*-5*3)/((sqrt(168)/sqrt(4))/sqrt(6) + 5*-1*sqrt(7) + sqrt(7) + sqrt(7)).
15*sqrt(13)/2
Simplify 2 + (-1*sqrt(57)*6)/(4*sqrt(363) - sqrt(363)).
-2*sqrt(19)/11 + 2
Simplify (-1*((-3 + (sqrt(128) - (sqrt(128) + 0 + -5)))*6 + -5))**2.
49
Simplify (((sqrt(85) + 2*(1*sqrt(85) - sqrt(85)))*-1)/(sqrt(30)/(2*sqrt(6)) + (sqrt(55) + sqrt(165)/sqrt(3))/sqrt(11)) + 0)**2.
68/25
Simplify (((3 + -1 + sqrt(7) - sqrt(35)/(sqrt(5)*-3)) + -4)*3)**2.
-48*sqrt(7) + 148
Simplify ((sqrt(21) + sqrt(84)*6 - sqrt(21))*-2)/((sqrt(84) - (sqrt(84)*-2 + sqrt(84))*-4)/sqrt(12)).
8*sqrt(3)
Simplify 0 + 1 + -1 + sqrt(125)*-2*-4.
40*sqrt(5)
Simplify -1 + -1 + (sqrt(68) + (sqrt(68) + (sqrt(68)*2 - sqrt(68)))*-3)/(sqrt(4) + (sqrt(4) - -1*-1*sqrt(4))).
-5*sqrt(17) - 2
Simplify (sqrt(26)*2 + sqrt(26))/sqrt(2)*-1 + sqrt(624)/sqrt(3) + (0 + sqrt(325))**2.
sqrt(13) + 325
Simplify 6*((sqrt(420)/(sqrt(90)/sqrt(9)))/(sqrt(6) - (sqrt(864) + 2*sqrt(864))))**2.
6/175
Simplify 1*(0 + sqrt(8)/(sqrt(20)/sqrt(5)) + (sqrt(18)*-3)/sqrt(9)).
-2*sqrt(2)
Simplify (sqrt(847) + -5 + (sqrt(847) + 3 - sqrt(847)) + -4 + sqrt(847)*4 + sqrt(847))**2 + 1.
-792*sqrt(7) + 30529
Simplify ((-5*3*-1*sqrt(204))/(sqrt(972)*1*-1 + sqrt(972) + sqrt(972)))**2.
425/9
Simplify -1*(-1 + -5 + (sqrt(432) + -1 - sqrt(432)) - ((sqrt(432) - (sqrt(432) + 2*sqrt(432) + -3))**2 - (sqrt(432) + -2*sqrt(432))*5)).
-84*sqrt(3) + 1744
Simplify ((sqrt(88) + (sqrt(88) + sqrt(88) + -3*1*sqrt(88) - sqrt(88)) + sqrt(88) + sqrt(88) - sqrt(88))*6)/(sqrt(968)*-2 - -1*sqrt(200)).
0
Simplify ((4 + sqrt(700) + (-3*sqrt(700) - sqrt(700)) + sqrt(700))**2 + -4)*2.
-320*sqrt(7) + 5624
Simplify (-3*(sqrt(34)*-5*-6)/(sqrt(24)/(sqrt(12)*3)))**2.
1239300
Simplify (sqrt(1377) + 3 + -3)*6 + 3*(-6*sqrt(1377)*-2 + sqrt(1377)).
405*sqrt(17)
Simplify ((sqrt(54)*2)/sqrt(3))/(sqrt(441)*-1) + 0.
-2*sqrt(2)/7
Simplify -4 + (-4 + sqrt(162) + 3*sqrt(162) - (sqrt(162) + -3)*-2) + -3.
-17 + 54*sqrt(2)
Simplify (5 + (sqrt(3520) - -2*sqrt(3520))/(sqrt(500) + sqrt(500) + (sqrt(500) - -1*sqrt(500)) + sqrt(500) - sqrt(500)))*-1.
-5 - 3*sqrt(11)/5
Simplify ((6*2*sqrt(272) - ((0 + sqrt(425))*-1 - sqrt(425)))*6 + 0)**2.
2058768
Simplify 5*(sqrt(320) - (sqrt(320) - (sqrt(320) + (((sqrt(320) + (sqrt(320) + 1 - sqrt(320)) - sqrt(320))*1 + sqrt(320))**2 - sqrt(320)))))*-1*-4.
320*sqrt(5) + 6420
Simplify -5 + 1*(-1 + sqrt(2187))**2 + sqrt(135)/(-1*sqrt(5)) + sqrt(27)*2 + sqrt(27) + -2.
-48*sqrt(3) + 2181
Simplify (1 + ((1*sqrt(500) - sqrt(500)) + sqrt(500))*-3 + -2*sqrt(500)*6 + 0)**2.
-300*sqrt(5) + 112501
Simplify -4*((sqrt(17)*1*-2 + 4)**2 + ((sqrt(85) + 6*((sqrt(85) - 1*sqrt(85)) + sqrt(85)))/sqrt(5))**2).
-3668 + 64*sqrt(17)
Simplify 0 + ((sqrt(84)/(sqrt(48)/sqrt(4)) + sqrt(7))*6 + 1 + -1 + sqrt(252) + sqrt(252))**2.
4032
Simplify (-4*(sqrt(343) + -1 + sqrt(343) + sqrt(343)) - 1*(sqrt(7) - -2*sqrt(7))*2)**2 + -1.
-720*sqrt(7) + 56715
Simplify -3 + (sqrt(26)/sqrt(2))**2*4 + 0 + sqrt(143)/(2*sqrt(11)).
sqrt(13)/2 + 49
Simplify (((-4*sqrt(360) - sqrt(40)) + sqrt(40) - (-1*sqrt(280) + sqrt(280))/sqrt(7))/(sqrt(288)*2*-2))**2.
5/4
Simplify 6*(3 + -1*sqrt(2)) - (-4 + sqrt(720)/sqrt(10))**2.
-70 + 42*sqrt(2)
Simplify ((sqrt(39) + -3*sqrt(39)*2)/sqrt(3) - sqrt(156)/(sqrt(120)/sqrt(490)))*-5.
60*sqrt(13)
Simplify (sqrt(475) + -1 + 4 + sqrt(171)/sqrt(9) + sqrt(19) + 2)**2.
70*sqrt(19) + 956
Simplify -5*(sqrt(175)*-2 + 3 - 3*(-2 + sqrt(175))).
-45 + 125*sqrt(7)
Simplify ((sqrt(204)*3)/sqrt(12) - (sqrt(68)/sqrt(4) + 3)) + (((sqrt(170) + -2*sqrt(170))/sqrt(10) + sqrt(17))**2 - (sqrt(17) + 1 + sqrt(17) + -5)).
1
Simplify (0 + -4 + (sqrt(176) + 0 - sqrt(176)) - (-4 + sqrt(176)*2 + -4))*-1.
-4 + 8*sqrt(11)
Simplify (sqrt(114) + (sqrt(114)*-1 - sqrt(114))*4 + (5*-1*sqrt(114) - sqrt(114)))/((sqrt(726) + 2*sqrt(726))*3).
-13*sqrt(19)/99
Simplify 2*(2 + (sqrt(7) + sqrt(63))*-5 + sqrt(21)/(sqrt(3)*2))**2.
-156*sqrt(7) + 10663/2
Simplify ((-1*(sqrt(77) + sqrt(77)*1) - sqrt(77)) + -5*2*sqrt(77))/(-6*sqrt(336)/sqrt(3)).
13*sqrt(11)/24
Simplify (-3*-5*sqrt(190))/((sqrt(80)*1)/sqrt(8)).
15*sqrt(19)
Simplify (4*(sqrt(170) + (sqrt(170) - 5*(sqrt(170)*1 + sqrt(170)))))/(2*(sqrt(10) + sqrt(490)*2 + sqrt(490))).
-8*sqrt(17)/11
Simplify (-5 + sqrt(85)/(sqrt(5) - -3*sqrt(125)))**2 + 3.
-5*sqrt(17)/8 + 7185/256
Simplify (-2*(sqrt(612) - (sqrt(612) + 2)))**2 - (sqrt(68) + -5 - (-3 + sqrt(17)*1)).
-sqrt(17) + 18
Simplify 1*(sqrt(304) + -2 + sqrt(2736) + 1 - (sqrt(931) - (sqrt(931) - (sqrt(931) + -2*-1*sqrt(931))))).
-5*sqrt(19) - 1
Simplify (-4*(sqrt(6) - (sqrt(6) + sqrt(6)*-3*2)))/((sqrt(432) - sqrt(432)*2 - sqrt(432))*-5).
-sqrt(2)/5
Simplify -3 + ((sqrt(11) + sqrt(66)/sqrt(6))*3 - sqrt(11) - (1*1*sqrt(11) + sqrt(11)))**2 + 0.
96
Simplify -4*((2 + (sqrt(300) - (sqrt(300) + sqrt(300) + -3)*4))*-1)**2*-5.
-39200*sqrt(3) + 297920
Simplify ((sqrt(208) - (sqrt(208) + sqrt(208) + sqrt(208)*-1 + sqrt(208)))/sqrt(8) - sqrt(26))/(sqrt(8)/sqrt(4)*-5 - sqrt(2) - sqrt(2)).
2*sqrt(13)/7
Simplify 1 + (((sqrt(240)*-1 - sqrt(240))/sqrt(8))/sqrt(10) - sqrt(24)/(-1*sqrt(72)))**2.
28/3
Simplify ((sqrt(209) - sqrt(209)*-2)/sqrt(11) + sqrt(133)/sqrt(63) + -2)*2*5.
-20 + 100*sqrt(19)/3
Simplify -3*(((-2*sqrt(912) - sqrt(912))*4)/(-4*sqrt(432)*1))**2.
-57
Simplify (1*sqrt(2240)*3)/(sqrt(1008) + sqrt(1008)*-2).
-2*sqrt(5)
Simplify (sqrt(130) + 1*(sqrt(130) - (sqrt(130)*-3 + sqrt(130)) - sqrt(130)))/(sqrt(1000) + -3*sqrt(1000) + sqrt(1000) - sqrt(1000)).
-3*sqrt(13)/20
Simplify (sqrt(108)/(sqrt(4) - sqrt(1728)/sqrt(12)))/(sqrt(36) + (sqrt(36) - (sqrt(2916)*2 - sqrt(36)))).
sqrt(3)/150
Simplify 5*(sqrt(931)*-6*-3 + sqrt(133)/(1*sqrt(175)))**2.
7565059/5
Simplify (3 + -5*(sqrt(216)*-1)/(sqrt(8) - -1*3*sqrt(8)))**2.
45*sqrt(3)/2 + 819/16
Simplify (1*(sqrt(12)/sqrt(4)*6 - (sqrt(3)*4 + -3)))**2 + 4.
12*sqrt(3) + 25
Simplify (-3 + sqrt(243) + sqrt(243)*2 + sqrt(243) - -6*(sqrt(1452) - (sqrt(1452)*-1 - sqrt(1452))))**2.
-2592*sqrt(3) + 559881
Simplify (((sqrt(100) - (sqrt(100)*-2 + sqrt(100))*4)/sqrt(4))/(sqrt(40)/(sqrt(8) - sqrt(128)*-3)) + 3)**2.
390*sqrt(5) + 21134
Simplify (-2*sqrt(425) + 2 - (sqrt(612) + 1)*-5) + -5.
2 + 20*sqrt(17)
Simplify 4*(-2 + (-1 + sqrt(1088))**2)*6*-5.
-130440 + 1920*sqrt(17)
Simplify (sqrt(88) + ((sqrt(88) - sqrt(88)*2) + sqrt(88) - sqrt(88))*-4 + -6*-1*sqrt(88))/(-2*sqrt(24)/sqrt(3) - (sqrt(800) - sqrt(800)*-1)).
-sqrt(11)/2
Simplify (sqrt(2299)*-1 + 1)**2 + (1*(sqrt(2299) + -2) + sqrt(2299))**2 + -3.
-110*sqrt(19) + 11497
Simplify (-5*4*sqrt(33))/(sqrt(704) + -4*sqrt(704) + sqrt(704)).
5*sqrt(3)/4
Simplify sqrt(56)/(sqrt(2) - 2*sqrt(2)) + 5 + sqrt(700).
5 + 8*sqrt(7)
Simplify (-3*(-1 + sqrt(1100)*-1 + 3*(sqrt(1100) + sqrt(1100) + (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + sqrt(1100)*-1 + sqrt(1100))))))*2)**2.
-5760*sqrt(11) + 2534436
Simplify (6*sqrt(35)/(sqrt(245)*1)*-1*-4)**2.
576/7
Simplify ((((sqrt(475) + -2)**2 - sqrt(475)) + -3 - sqrt(475) - sqrt(475)) + sqrt(475) + 0 + 1)*2*3.
-180*sqrt(19) + 2862
Simplify (-5*(sqrt(5) + sqrt(55)/sqrt(11)*-6) - (sqrt(35)/sqrt(63) + -5))**2.
740*sqrt(5)/3 + 27605/9
Simplify 0 + 1 + (2*(sqrt(648) - (sqrt(648) + 2)*-1))**2.
576*sqrt(2) + 10385
Simplify (sqrt(20)/sqrt(5)*-3)/(sqrt(242) + sqrt(242)*1).
-3*sqrt(2)/22
Simplify (-2*sqrt(304))**2*6 + (sqrt(304) + -1)*3 + 4 + -5.
12*sqrt(19) + 7292
Simplify (sqrt(6) + sqrt(42)/sqrt(63) + sqrt(54)/(sqrt(18)/sqrt(2)))/(sqrt(9)/(sqrt(9)/sqrt(48))).
7*sqrt(2)/12
Simplify ((1 + -4*sqrt(700) + -4 + -1)*5)**2.
8000*sqrt(7) + 280400
Simplify sqrt(40)/sqrt(5) + -5 - (sqrt(6)/sqrt(3) + -2 + -5).
sqrt(2) + 2
Simplify (sqrt(192) + sqrt(192) + sqrt(192) + (sqrt(192) - sqrt(192)*3) + sqrt(192) + sqrt(192) + 1)**2 - ((sqrt(15)/sqrt(5))**2 + 4 + 4).
48*sqrt(3) + 1718
Simplify 4 + 6*(-1 + sqrt(832) + (sqrt(832) - -1*sqrt(832)) + sqrt(832) + 1)*-6.
-1152*sqrt(13) + 4
Simplify 2 + sqrt(162) + -1 + ((-1*sqrt(162) + sqrt(162))*-3 - sqrt(162)) + 2 + -1.
2
Simplify 3 + (-6*(sqrt(99)*2)**2 - -1*sqrt(99)*2).
-2373 + 6*sqrt(11)
Simplify (sqrt(294)*-2*2)/(sqrt(20)/(-2*sqrt(160)))*3.
672*sqrt(3)
Simplify ((sqrt(312)*2*6)/sqrt(8))/(sqrt(27)/((sqrt(144)/ | {
"pile_set_name": "DM Mathematics"
} |
10. Put 2, x, v in decreasing order.
2, v, x
Let v = 644 + -639. Put 7, -2, -4, v in descending order.
7, v, -2, -4
Let r be 28/8*(-16)/(-28). Suppose 6*g - r*g + 16 = 0. Put g, -5/2, -2/11 in descending order.
-2/11, -5/2, g
Let t = 184.4 - 186. Sort 3/8, t, 0.08 in increasing order.
t, 0.08, 3/8
Let s = 94 - 67. Let p be ((-3)/s)/(2/58). Let g = p - -25/9. Put -0.1, g, 1 in ascending order.
g, -0.1, 1
Let g(a) = -a**3 + 5*a**2 - 5*a + 2. Let w be g(3). Let n(i) = -i**3 + 5*i**2 - i + 2. Let r be n(w). Put r, 18, 3 in descending order.
18, 3, r
Suppose -h = 5*x - 21, -3 = -2*h - 1. Sort 3, x, 19 in ascending order.
3, x, 19
Let d be (-12)/70 + (4 - 88/20). Sort d, 2/77, -2 in ascending order.
-2, d, 2/77
Let l = 513 - 510. Sort -21, -2, 2, l in increasing order.
-21, -2, 2, l
Suppose 4*j + 2*u + 0*u - 30 = 0, -j - u = -10. Suppose 8*d + 3 = 43. Suppose d*a = -w - 4*w, 2*w - 6 = a. Put -2, w, j in decreasing order.
j, w, -2
Let a = 1.5 + 4.2. Let t = 10.7 - a. Sort 0.3, -0.4, t, -2/11 in descending order.
t, 0.3, -2/11, -0.4
Suppose 20 = 5*t, -l - 3*t - t + 14 = 0. Let i = 20 + -17. Suppose 9*q - i*q + 30 = 0. Sort 5, q, l in decreasing order.
5, l, q
Let d be ((-3)/9)/((-2)/66). Let v(g) = -6 + 15 + 14*g + 16 - d*g. Let u be v(-15). Put -2, -1, u in ascending order.
u, -2, -1
Let q = -3923/4 + 981. Put 13, -7, -3/2, q in ascending order.
-7, -3/2, q, 13
Let g = 317 - 3463/11. Let u = 133/66 - g. Sort 3/4, u, 1 in descending order.
1, 3/4, u
Let x(n) = n**2 + 3*n - 4. Suppose -q - 6 = 3*q - 5*m, -2*m + 3 = -q. Let s be x(q). Put -28, s, -5 in descending order.
s, -5, -28
Let l = 85 - 121. Let v = l + 35.6. Let o(c) = 2*c - 22. Let x be o(10). Sort x, -10, v.
-10, x, v
Suppose -2*s + 6*s + 4 = 0. Let b be (-4)/2 - (-3)/s. Suppose 0 = -148*p + 157*p - 18. Sort 3, p, b in descending order.
3, p, b
Let m = -0.3 - -1.3. Let w be (-1)/(-3)*(-14)/35. Put w, 5/2, m in increasing order.
w, m, 5/2
Let d = 0.034 - -0.886. Let n = -0.08 - d. Suppose -1 = 15*y - 31. Sort -4, y, n in increasing order.
-4, n, y
Let u = 0.86 - 0.06. Let j = u + -0.6. Let o = -0.6 + -0.4. Put 0, o, j in descending order.
j, 0, o
Suppose 4*v - 4*i + 4 = 0, -2*i = -3*v - 4 - 2. Let n be (v*(-2 + 3))/2. Sort 1, n, -5.
-5, n, 1
Suppose -1 = 2*c + 5. Let k = 47 + -47. Suppose -4*p - 6 + 2 = 0. Sort p, c, k in descending order.
k, p, c
Let z = 0.941 - -1.059. Sort 1, z, -3, 53 in decreasing order.
53, z, 1, -3
Let p be (-16 - -15) + (-5)/(-8). Suppose 1 - 4 = -f. Let q = 1 - 3. Put f, q, p in decreasing order.
f, p, q
Let q(w) = -3*w - 29. Let t be q(-10). Suppose -3*h = -4 - 8. Put t, h, 3 in descending order.
h, 3, t
Let y(s) = s**3 + 12*s**2 + 7*s - 13. Let q be y(-11). Let j = 31 - q. Let u = -4 - -3.7. Put j, -7, u in ascending order.
-7, u, j
Suppose 2*a + 2*a + 4*p = 4, -3*a + 4*p = 25. Let i = 46 + -46. Sort -2, 4, i, a in descending order.
4, i, -2, a
Suppose 0 = -43*q + 42*q + 3, -v = -5*q + 11. Sort v, 17, -2 in ascending order.
-2, v, 17
Let a be (-4)/14 + (1992/14)/(-6). Let v be ((-2)/(-9))/(40/a). Sort -0.01, -3, v in ascending order.
-3, v, -0.01
Let m be (10/(-4))/((-13)/26). Sort -11, m, 3.
-11, 3, m
Let h = -6.94 - -6.6. Let z = 0.74 + h. Sort -0.4, -1/4, z, 4.
-0.4, -1/4, z, 4
Let f = -394 + 396. Suppose -3*j - 3 = -2*j. Put j, f, -11, 1 in ascending order.
-11, j, 1, f
Suppose 82*l = 98*l. Sort 1/273, l, 1/7, -0.1.
-0.1, l, 1/273, 1/7
Suppose 28*a = 57 - 1. Sort 5, a, -1000 in decreasing order.
5, a, -1000
Let m = -171 - -175. Put m, 1, -4 in descending order.
m, 1, -4
Let r be 14/(-6) + (-2)/(-6). Let g = 0 - r. Let y be -6*((-34)/(-4))/17. Sort g, -5, y in decreasing order.
g, y, -5
Let u = -325 + 315. Sort -2, -4, u in descending order.
-2, -4, u
Suppose -3*h - 18 = -4*n - 68, 12 = 3*n. Suppose 0 = -5*o + 13 + h. Sort o, -2, -1 in descending order.
o, -1, -2
Let a be (-4)/3*45/(-30). Let z be 0 - (-1 + (2 - a))*1. Sort 2, -1, 3, z in increasing order.
-1, z, 2, 3
Let w = 142 - -5. Sort 5/4, w, -0.4, 3 in increasing order.
-0.4, 5/4, 3, w
Suppose 0 = 3*g + 5*x - 47, -5*g + 2 = -5*x - 143. Let a be 0/(-1) + (-18)/g. Let q = 2/63 - 16/63. Put a, q, -3 in ascending order.
-3, a, q
Let x = -153 + 151. Sort x, 3, 5, 0 in ascending order.
x, 0, 3, 5
Let f(q) = q**3 + 4*q**2 - 3. Let j be f(-4). Suppose 5*r - i - 5 = -0, -3*r = -2*i - 10. Suppose 0 = -152*y - 277 - 483. Sort y, r, j in ascending order.
y, j, r
Let w = 0.11 + -1.11. Let m(g) = -g**3 + 4*g**2 + 50*g - 149. Let f be m(3). Sort 0, f, w in decreasing order.
f, 0, w
Let o = -937/3 - -313. Put 0.5, -4, o, 4 in descending order.
4, o, 0.5, -4
Let g = 19 - 20. Let y be 9/5*(g + 6). Let w(v) = -3*v + 22. Let h be w(y). Sort h, -3, -10 in decreasing order.
-3, h, -10
Let q be (2/1)/(0 + -4). Let d = -1.2 + 0.1. Let i = -0.9 - d. Put q, i, 5 in decreasing order.
5, i, q
Suppose 0*f = 4*f - 8. Suppose 56 = 6*y + f*y. Put -4, -3, y in descending order.
y, -3, -4
Let i = -421 + 416. Put i, 0, -0.06, -6 in decreasing order.
0, -0.06, i, -6
Suppose -14*a + 13*a = -2. Let d be (-119)/(-21) - 2/3. Sort -7, d, a in descending order.
d, a, -7
Let x be (-12)/54 + 52/(-9). Let i be 0 - 0 - (2 + x). Sort 14, 1, i in increasing order.
1, i, 14
Suppose -6*g = 95 + 13. Let w be 3/(-18) - 7/g. Sort w, 0.4, -4 in descending order.
0.4, w, -4
Let f = -1339 + 1334. Sort f, 2, 27, -1/7 in increasing order.
f, -1/7, 2, 27
Let n = -25 - -20. Suppose 5*c - 3 = 8*c. Sort n, 1/6, 2/7, c in decreasing order.
2/7, 1/6, c, n
Let t = -321.7 - -322. Let d be (-1)/2 + (-21)/(-6). Sort 5, t, -0.1, d in descending order.
5, d, t, -0.1
Let a be (3/(-351)*-3)/((-5)/(-30)). Let i(r) = r**3 + 4*r**2 - r - 2. Let u be i(-4). Suppose 5 - 11 = u*g. Sort g, a, 4 in descending order.
4, a, g
Let m = -111.4 - -113.374. Let x = -0.026 - m. Put x, -1.1, -0.4 in decreasing order.
-0.4, -1.1, x
Suppose -5*v - 19 = 6. Put -1, 50, v in decreasing order.
50, -1, v
Let g = 98 + -87. Suppose 7*r - 4*r = -3*v + 3, 0 = v + 3*r - g. Put 3, v, 2 in ascending order.
v, 2, 3
Let z(b) = -b**3 + 9*b**2 - 15*b + 12. Let m be z(7). Sort -3, -1, m, 0 in ascending order.
-3, -1, 0, m
Let u = -2.02 - 2.98. Let i(n) = n**2 - 3*n + 1. Let p be i(2). Sort u, 1, p in ascending order.
u, p, 1
Let z = 739 + -738.6. Let g = -3 + 0. Let m be ((-20)/(-105))/(2/g). Put 1/4, z, m in increasing order.
m, 1/4, z
Suppose -7 = -2*t + 5. Let l be t/(-2) - 0/8. Sort 15, 3, l in ascending order.
l, 3, 15
Suppose -k = 2*q, -3*q - 5 = -2*q - 2*k. Let y be (-1 - q) + -4 + 20 + -21. Let n(d) = -2*d - 5. Let m be n(-4). Sort y, -3, m in decreasing order.
m, -3, y
Let x be 35/10 - (-3)/(-6). Suppose 6*f = x*f - 6. Sort 2, f, 4 in decreasing order.
4, 2, f
Let f be 2/7 - (-29)/(-28). Let i = -3.02 + 0.28. Let z = -0.26 + i. Sort f, z, 3 in ascending order.
z, f, 3
Let w = -3 - -1. Let m = -1111.8 + 1112. Put m, w, 2 in descending order.
2, m, w
Let u = -232/669 + 3/223. Sort u, -0.02, 5 in ascending order.
u, -0.02, 5
Let r = -1.4 + -0.6. Let c = r + 1.8. Let n = 2/213 + 205/852. Put c, 0.3, n in increasing order.
c, n, 0.3
Suppose 5*f - q - 1 - 15 = 0, 5*f - 36 = -4*q. Put 12, 3, -5, f in decreasing order.
12, f, 3, -5
Let i be 640/240*(-6)/8. Sort i, -4, -10 in ascending order.
-10, -4, i
Let o = 52 + -100. Let v = -47.95 - o. Put v, 2/13, -4/5, -5 in decreasing order.
2/13, v, -4/5, -5
Let u = -87/68 + 1/34. Put u, 3, -5 in descending order.
3, u, -5
Suppose -3*k = -3 + 6. Sort 9, k, -4, -5.
-5, -4, k, 9
Let j = 97 - 98. Put j, -2, -5, 1 in decreasing order.
1, j, -2, -5
Let m(q) = -2*q**2 + 8*q. Let r(n) = 3*n**2 - 8*n. Let a(v) = -4*m(v) - 3*r(v). Let s be a(-7). Let f = 9 - s. Sort f, 0, -6 in ascending order.
-6, 0, f
Let v = -5297/15 + 353. Let l(a) = -a**2 - 8*a - 3. Let b be l(-5). Let y be ((-12)/(-81))/(8/b). Sort v, y, -3/4 in decreasing order.
y, v, -3/4
Suppose -39*v = -46*v - 7. Suppose 0 = -r + 7*q - 3*q - 9, 5*q - 9 = 2*r. Sort -5, v, r in decreasing order.
r, v, -5
Let r = -0.5656 + 0.0656. Let u be (12/10)/(2/5). Put u, -1/6, 4/5, r in descending order.
u, 4/5, -1/6, r
Let w = -148 + 147.6. Let d = 0.01 + 0.03. Let j = d - -0.06. Sort -0.2, w, j.
w, -0.2, j
Let n = -1/123 + 91/1107. Sort -0.09, n, -1.
-1, -0.09, n
Suppose 4*k - 20 = 2*i, 0*i + i - 25 = -5*k. Suppose -2 = -i* | {
"pile_set_name": "DM Mathematics"
} |
= -15 + 39. What is the units digit of x?
4
Let n(t) = t**2 + 6*t + 3. Let p be n(-6). Let b = -1 - p. What is the units digit of ((-6)/b)/(3/12)?
6
Suppose -b = -2 - 13. Let z = 0 + 2. Suppose -2*i + z = 4*k, -2*i + 5*i = -b. What is the units digit of k?
3
Suppose -2*a + 4*q + 252 = 2*q, -4*a + 2*q + 502 = 0. What is the hundreds digit of a?
1
What is the tens digit of 6 - -80 - 3*2/(-3)?
8
Suppose 31*y = 32*y - 1. Suppose 25 = g + 4*g. Suppose -o + 4*j - y + 17 = 0, -g*j - 10 = 0. What is the units digit of o?
8
Let h(i) = i**3 + i**2 + i + 11. What is the units digit of h(0)?
1
Suppose 3*m - 4*m = -31. What is the tens digit of m?
3
Let d = -25 - -75. What is the units digit of d?
0
Suppose 0 = 2*n - n - 12. What is the units digit of -2 + 2 + n + 2?
4
Let f be (0 - -5)*544/80. Suppose -4*z = 4*i + z - 136, -i + z + f = 0. What is the tens digit of i?
3
Let s be 534/(-24) + 2/8. Let w = s + 49. What is the units digit of w?
7
Suppose 0*f - 47 = 4*z + 3*f, 5*z + 53 = 2*f. Let w = z + 16. What is the units digit of w?
5
Let n(j) = j**2 + j + 1. Let c be n(-1). Let r(s) = s**2 - 2*s + 2. Let x be r(2). Let a = x + c. What is the units digit of a?
3
Let u(d) = -d**2 - 7*d + 2. Let b = 9 - 15. Let s be u(b). Let p = s + -6. What is the units digit of p?
2
Let k = 15 + -11. Suppose -k*r - 11 = -43. What is the units digit of r?
8
Let j be (2 + 0)*65/10. Suppose 5*v = 2*z + 109, -4*v - 3*z + 86 = -4*z. Let y = v - j. What is the units digit of y?
8
Let h = -4 - -5. Let f = 5 + h. What is the units digit of f?
6
Suppose -3*z = 70 - 226. What is the tens digit of z?
5
What is the units digit of -2*(-5)/(40/36)?
9
Let h be 1 - 1*1*-3. Let c be 1/h + (-2)/8. Suppose 2*l + c*l = -10, -2*b + 3*l + 19 = 0. What is the units digit of b?
2
Let a(y) = -y**3 + 5*y**2 - 2*y + 3. What is the tens digit of a(3)?
1
Suppose 2*d = -14 + 6, d + 1 = j. Let p(b) = 9*b + 9. Let o(w) = -w - 1. Let a(t) = j*p(t) - 24*o(t). What is the units digit of a(-4)?
9
Let i(z) = -4*z - 3. Let m be i(-7). Suppose 2*h = -3 + m. What is the tens digit of h?
1
Let z = 132 - -62. What is the hundreds digit of z?
1
Let u(p) = -p + 2*p - 3 - 7*p + p. Let m be u(-3). Suppose 0*r + m = 2*r. What is the units digit of r?
6
Suppose -5*l + 3*g + 32 = 0, -l - 2*g = 3*l - 8. What is the units digit of (-2)/1*(-8 + l)?
8
Suppose -3*p = -6*p - 189. Let a = -30 - p. What is the tens digit of a?
3
Suppose y - 3 = 0, k - 3*y = -12 - 1. Let c = -8 + 11. What is the units digit of k/(-2) - (c - 3)?
2
Let k(r) = -4*r - 3*r - 3*r**2 + 2*r**2 + 12. What is the units digit of k(-5)?
2
Suppose -63 - 52 = -h + 5*i, -2*i = h - 129. What is the hundreds digit of h?
1
Suppose -4*n + r = -804, n = r + 179 + 19. What is the units digit of n?
2
Let c = 10 - 6. Let f = c - 2. Suppose -11 = -f*n + 5*i, -n - 4*i + 19 = -6. What is the tens digit of n?
1
Suppose 7*p - 58 = 103. What is the tens digit of p?
2
Let h be 0 - 2 - 12/(-3). What is the units digit of h - -1 - (-2 + 4)?
1
Suppose 0 = -q - q - 3*v + 205, 300 = 3*q + 3*v. Suppose i = 4*l + 41, -2*l + 0*l = 5*i - q. What is the units digit of i?
1
Suppose k + 92 = -3*c + 6*c, -10 = 2*k. Suppose -3*y + 5*x + c = -2*y, -2*x + 2 = 0. Let r = -18 + y. What is the units digit of r?
6
Let j(f) = -33*f**3 - 2*f - 1. What is the units digit of j(-1)?
4
Let u(o) = o + 5. Suppose 2*h = -4*g, -12 = -2*g + 4*h - 32. Let b = -2 + g. What is the units digit of u(b)?
1
Suppose -30 = 6*s - 162. What is the units digit of s?
2
Let h(b) = -8*b**2 + b + 1. Let z be h(-1). Let d(t) = -t - 1. Let x be d(0). What is the units digit of -2 + (-1 - x) - z?
6
What is the tens digit of (3 - (-54 - -4))/1?
5
Let y(g) = g**3 + g**2 - 2*g - 3. Let l be y(-3). Let i(q) = 24*q**2 - q. Let t be i(1). Let v = l + t. What is the units digit of v?
8
Suppose -3*f + 5*z + 123 = 0, z - 3*z = -2*f + 78. What is the tens digit of (1/2)/(1/f)?
1
Suppose 0 = -3*b - 2*b + 3*a + 32, -3*b - 4*a - 4 = 0. Let g be b/(-22) - (-204)/33. What is the units digit of 40/g*(-9)/(-6)?
0
What is the tens digit of (1 + 28)*(-4 - -5)?
2
What is the units digit of 1/(((-10)/156)/(-5))?
8
Let m = 26 - 79. What is the tens digit of m/(-5) + 4/10?
1
Suppose 3*w - 54 = -2*d - 2*d, 3*d - 35 = -2*w. What is the tens digit of w?
2
Let w(u) = 2*u - 3. Suppose 3*p = 4*r + 17, 5*p - 2*r + r - 17 = 0. Let m = -1 + p. What is the units digit of w(m)?
1
Let q(u) = -u**2 + 6*u + 2. Let i be q(5). Let x = -6 + i. What is the units digit of x?
1
Let o = 8 - 8. Let m(p) = -p**2 - 5*p - 2. Let x be m(-3). Suppose o*k = -x*k + 76. What is the units digit of k?
9
Suppose 4*k = -4*y + 168 + 36, -3*k + 4*y = -132. What is the units digit of k?
8
Suppose 2*g - g = y - 39, -y = g + 41. What is the tens digit of (-5)/(g/(-44) - 1)?
5
Suppose 4*r = 27 + 9. What is the units digit of r?
9
Suppose -2*q = 4*l - 30, -5*l + 4*l = 5*q - 3. Suppose -4*d - 3*k = -l*k - 104, -d + 5*k = -26. What is the tens digit of d?
2
What is the units digit of (-10)/(-4)*(-1628)/(-55)?
4
Let y(m) = m - 6*m - m - m**2. Let s = -26 + 21. What is the units digit of y(s)?
5
Suppose 3*y - 34 = -5*n + 3*n, -21 = -2*y - 3*n. Let l be y*(-6)/(-8)*-7. What is the units digit of (-1)/(-2) + l/(-6)?
1
Suppose 4*r = 9*r. Suppose n - 2*n + 8 = r. What is the units digit of n*((-9)/(-6) + -1)?
4
Suppose -4*m + 8 = -4*g + 2*g, -m + 2 = 0. Let b = g + 5. What is the units digit of b?
5
Let q be 4/8*(-88)/(-2). Let k = -9 + q. What is the tens digit of k?
1
Let g = -116 + 128. What is the tens digit of g?
1
Suppose 7*r - 57 = 6*r. What is the tens digit of r?
5
Let t(n) = -n + 11. Suppose 0 = 4*g - m - 25, -6*m - 5 = -m. Let f be t(g). Suppose -3*k + f*k - 8 = 0, 4*i = -2*k + 28. What is the units digit of i?
5
Let c(m) = -5*m**3 + m**2 + 2*m + 1. Suppose 2*a - 3*a = 1. Let y be c(a). Suppose -4*t + 2 = -2*u + 28, y*u = -2*t + 29. What is the units digit of u?
7
Let a = 400 + -186. What is the hundreds digit of a?
2
Let r be (-6)/24 + 918/(-8). What is the tens digit of (-3 - -2)/(5/r)?
2
Let o(w) = 23*w - 2. What is the units digit of o(2)?
4
Let n = 238 - 93. What is the units digit of n?
5
Suppose -274 = -4*r - 78. What is the units digit of r?
9
Let v(p) = -p**3 + 2*p**2 + p + 327. What is the units digit of v(0)?
7
What is the hundreds digit of (-3 + 42/12)*202?
1
Let i = 31 + -18. Let y = i - 0. What is the tens digit of y?
1
Suppose -8*g + 4*g = -3*c - 813, g + 4*c - 189 = 0. Suppose -i - 195 = -4*h, 6*h - 3*i - g = 2*h. What is the units digit of h?
8
Suppose 0 = z + 1 - 4. Suppose 9 + 15 = 4*d. Let a = d - z. What is the units digit of a?
3
Suppose m - 12 - 1 = -3*z, z + 49 = 5*m. Let l = m + 0. What is the units digit of l?
0
Let y = 43 + -12. Let o = y - 16. What is the tens digit of o?
1
Let m = 43 - -67. What is the hundreds digit of m?
1
Let m(w) = 3*w**2 + 8*w - 6. What is the tens digit of m(-5)?
2
Let g(n) = -15*n - 17. Let i(f) = -5*f - 6. Let d(v) = 3*g(v) - 8*i(v). Let x(k) = -k**2 + 7*k + 6. Let b be x(8). What is the units digit of d(b)?
7
Let v = 3 + -3. Suppose v*g - 5*g = 35. Let a = g - -16. What is the units digit of a?
9
Let b(o) = -o**2 + 3*o + 9. Let s be b(-9). Let x be (-4)/1*s/(-12). What is the units digit of (-6)/(-15) - x/5?
7
Let h = -218 - -345. Suppose -3*f = -h + 4. What is the tens digit of f?
4
Let t = -2 + -1. Let l = -2 - t. What is the units digit of l?
1
Let d(l) = -21*l**2 + l - 1. Let q be d(1). Let i = q - -40. What is the units digit of i?
9
Let j(z) = -z**3 + 2*z**2 + z - 7. What is the units digit of j(-3)?
5
Suppose 5*n + 38 = -2*r, 5*n - 9 + 29 = 0. Let g be -2*(r/6 + -2). Suppose v - 2*q = -g + 17, -10 = -v - 3*q. What is the tens digit of v?
1
Let q(t) = -5*t + 5. Let z(o) = -4*o + 5. Let w(f) = -5*q(f) + 6*z(f). Let x(y) = -3*y - 15. Let u(a) = -8*w(a) - 3*x(a). What is the units digit of u(-4)?
1
Let r(f) = 6*f - 3. Let h be r(9). Suppose -4*q + 93 + h = 0. What is the tens digit of q?
3
Let l be 1 - 2*1/(-1). Suppose l*x + 4*k = 9 + 12, -4*x = k - 15. Suppose -3*i + 0 = -x. What is the units digit of i?
1
Suppose -c = 4*c. Suppose c = -0*v + 3*v - 2*m - 25, v - 4*m - 5 = 0. What is the units digit of v?
9
Let q(j) = -5*j**3 - 7*j**3 + 2*j - j - 2*j. Let x be q(1). Let y = x + 21. What is the units digit of y?
8
Let f( | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from vtssstssssustsvuu.
9/680
Calculate prob of picking 2 p when two letters picked without replacement from {f: 4, p: 2}.
1/15
Calculate prob of picking 1 g and 3 n when four letters picked without replacement from nvqgfnn.
1/35
Four letters picked without replacement from chhniiichiiiiihhxhi. Give prob of picking 2 h, 1 n, and 1 x.
5/1292
Two letters picked without replacement from zszssssdsddssd. What is prob of picking 2 s?
4/13
What is prob of picking 1 r and 1 u when two letters picked without replacement from {o: 9, k: 4, r: 1, u: 2}?
1/60
Two letters picked without replacement from {h: 2, r: 7}. What is prob of picking 1 r and 1 h?
7/18
Two letters picked without replacement from elppeypppe. What is prob of picking 2 p?
2/9
Calculate prob of picking 1 s and 1 g when two letters picked without replacement from snkggivis.
1/9
What is prob of picking 1 n and 1 y when two letters picked without replacement from {n: 1, u: 3, y: 1, r: 10}?
1/105
Two letters picked without replacement from tvttkkokkk. What is prob of picking 1 v and 1 o?
1/45
Two letters picked without replacement from {b: 2, t: 5, m: 4, y: 1, q: 2}. Give prob of picking 1 b and 1 y.
2/91
What is prob of picking 1 f, 1 w, and 2 p when four letters picked without replacement from {e: 2, f: 6, p: 4, n: 3, w: 3}?
3/85
Three letters picked without replacement from omoomoymymoommmoyy. Give prob of picking 2 m and 1 o.
49/272
Two letters picked without replacement from {e: 2, c: 1, p: 2, i: 6, f: 5}. Give prob of picking 1 e and 1 i.
1/10
Three letters picked without replacement from ecceccce. What is prob of picking 3 c?
5/28
What is prob of picking 2 u when two letters picked without replacement from uuguuuuuuguguu?
55/91
What is prob of picking 3 m when three letters picked without replacement from mwommtmmtmktmkwmkttw?
14/285
What is prob of picking 3 h when three letters picked without replacement from ggjgghghhghvgggj?
1/140
Four letters picked without replacement from {r: 5, t: 2}. Give prob of picking 1 t and 3 r.
4/7
What is prob of picking 1 l and 2 q when three letters picked without replacement from llqqlqlllqlqllqlll?
15/68
What is prob of picking 3 m when three letters picked without replacement from {m: 7, w: 7}?
5/52
Two letters picked without replacement from fambmkb. Give prob of picking 1 a and 1 m.
2/21
What is prob of picking 2 r and 2 l when four letters picked without replacement from {e: 6, l: 3, r: 3, w: 1, y: 5, o: 1}?
3/1292
What is prob of picking 1 f and 1 u when two letters picked without replacement from ovffffufu?
5/18
Calculate prob of picking 1 z, 1 c, and 1 t when three letters picked without replacement from {c: 4, t: 2, z: 3}.
2/7
Two letters picked without replacement from hhnmznv. Give prob of picking 1 v and 1 n.
2/21
Two letters picked without replacement from {r: 2, g: 3, u: 1, q: 1, i: 1, t: 5}. What is prob of picking 1 q and 1 g?
1/26
Four letters picked without replacement from {b: 4, v: 4, x: 2, a: 2}. Give prob of picking 1 a and 3 v.
8/495
What is prob of picking 1 g and 1 s when two letters picked without replacement from fjgqs?
1/10
What is prob of picking 1 c, 1 r, 1 h, and 1 n when four letters picked without replacement from {r: 1, h: 4, n: 1, c: 2, b: 1}?
4/63
Two letters picked without replacement from {q: 1, g: 1, u: 1, s: 1, a: 1, n: 2}. Give prob of picking 1 a and 1 s.
1/21
Three letters picked without replacement from {z: 6, l: 2, q: 7, t: 1, h: 2}. Give prob of picking 2 q and 1 l.
7/136
Three letters picked without replacement from uuuuuuuuuxuuuxuxuxuu. Give prob of picking 1 x and 2 u.
8/19
Four letters picked without replacement from {m: 2, q: 1, o: 2, j: 1}. Give prob of picking 2 m, 1 o, and 1 q.
2/15
Calculate prob of picking 1 e, 1 b, and 1 t when three letters picked without replacement from {t: 1, v: 1, b: 1, k: 2, e: 1, w: 2}.
1/56
Two letters picked without replacement from {g: 2, c: 1}. What is prob of picking 1 g and 1 c?
2/3
Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {u: 2, y: 4, o: 1}.
8/21
Two letters picked without replacement from {c: 1, x: 2, i: 1, o: 1, b: 1, s: 2}. What is prob of picking 1 c and 1 b?
1/28
Four letters picked without replacement from {x: 2, e: 4, f: 1, a: 3, p: 1, k: 1}. What is prob of picking 1 f, 2 x, and 1 p?
1/495
Calculate prob of picking 1 q, 1 c, and 1 o when three letters picked without replacement from oocqoycoccooyoccqco.
112/969
Calculate prob of picking 4 f when four letters picked without replacement from {j: 14, f: 5}.
5/3876
Two letters picked without replacement from {q: 2, x: 1, f: 1, e: 1, g: 1, h: 1}. What is prob of picking 1 g and 1 h?
1/21
Four letters picked without replacement from viquuqcvuqcuiz. What is prob of picking 2 v and 2 c?
1/1001
Calculate prob of picking 1 s and 1 x when two letters picked without replacement from gskmdxgxdxg.
3/55
Calculate prob of picking 2 q and 2 y when four letters picked without replacement from iyqqiyrioky.
1/110
Two letters picked without replacement from suqqomqqm. Give prob of picking 1 m and 1 q.
2/9
Four letters picked without replacement from zybzfzfzz. Give prob of picking 1 b, 2 f, and 1 y.
1/126
What is prob of picking 1 l and 2 o when three letters picked without replacement from reoglwe?
0
What is prob of picking 1 z, 1 j, and 1 g when three letters picked without replacement from {r: 1, z: 1, u: 3, g: 2, q: 3, j: 2}?
1/55
Four letters picked without replacement from llllllllll. What is prob of picking 4 l?
1
What is prob of picking 1 b and 1 w when two letters picked without replacement from bbwwnwbnwwwb?
4/11
Four letters picked without replacement from tfttft. What is prob of picking 3 t and 1 f?
8/15
Three letters picked without replacement from {v: 2, h: 5}. Give prob of picking 2 h and 1 v.
4/7
What is prob of picking 2 h when two letters picked without replacement from hkh?
1/3
Calculate prob of picking 3 w when three letters picked without replacement from {w: 4}.
1
Two letters picked without replacement from {f: 1, w: 3, g: 3, n: 6}. Give prob of picking 1 w and 1 f.
1/26
Two letters picked without replacement from {n: 2, q: 1, m: 1, b: 3, y: 3, v: 2}. Give prob of picking 1 n and 1 y.
1/11
Two letters picked without replacement from qqqqfqutqquqf. Give prob of picking 1 q and 1 f.
8/39
Three letters picked without replacement from uuuvuuuuuv. What is prob of picking 1 v and 2 u?
7/15
What is prob of picking 2 h when two letters picked without replacement from {d: 6, h: 6, c: 1, i: 5}?
5/51
Three letters picked without replacement from tjjjattatjjtaajataa. Give prob of picking 3 t.
20/969
Three letters picked without replacement from rwjordnn. Give prob of picking 1 w and 2 r.
1/56
Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 1, j: 1, o: 2}.
1/6
Three letters picked without replacement from {z: 3, h: 13}. Give prob of picking 3 h.
143/280
Four letters picked without replacement from nbngunnunsgsss. What is prob of picking 1 s, 1 n, 1 b, and 1 u?
40/1001
What is prob of picking 1 r, 2 n, and 1 c when four letters picked without replacement from {a: 1, n: 3, r: 5, e: 2, c: 1}?
1/33
Calculate prob of picking 2 v, 1 g, and 1 h when four letters picked without replacement from {h: 4, g: 6, f: 1, m: 2, l: 3, v: 4}.
48/1615
Two letters picked without replacement from vaaccfxwf. What is prob of picking 2 a?
1/36
Two letters picked without replacement from {f: 4, k: 10, d: 2, n: 3}. Give prob of picking 2 k.
5/19
Two letters picked without replacement from {f: 3, k: 4, m: 6, y: 1, w: 2}. What is prob of picking 2 m?
1/8
Two letters picked without replacement from {m: 4, q: 1, y: 2, j: 2}. Give prob of picking 1 j and 1 y.
1/9
What is prob of picking 1 t and 1 o when two letters picked without replacement from {h: 2, n: 2, p: 1, t: 1, o: 1}?
1/21
Calculate prob of picking 1 s, 1 w, 1 f, and 1 p when four letters picked without replacement from ppcrfswscfpc.
4/165
Two letters picked without replacement from itcinngkiiin. What is prob of picking 1 i and 1 c?
5/66
Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {l: 1, t: 1, j: 2, i: 1, w: 2, x: 1}.
1/28
Three | {
"pile_set_name": "DM Mathematics"
} |
alse
Is 10885907 composite?
False
Is 680462171 a composite number?
False
Is 241754251 a prime number?
True
Is 48605069 a prime number?
False
Is 21484621 a composite number?
True
Is 7251753 composite?
True
Is 345407 a prime number?
False
Is 78640073 a prime number?
True
Is 3577597 composite?
False
Is 32053573 a composite number?
False
Is 2663231 prime?
True
Is 573673 composite?
False
Is 5209889 prime?
True
Is 10673023 composite?
True
Is 4497271 prime?
True
Is 30553 a composite number?
False
Is 2122793 composite?
False
Is 205910609 a prime number?
True
Is 12013921 a composite number?
True
Is 1931261 a prime number?
True
Is 69270331 composite?
True
Is 352757447 prime?
False
Is 124886101 composite?
False
Is 189220117 composite?
False
Is 6147563 prime?
True
Is 3865733 composite?
False
Is 920729 prime?
True
Is 482131 prime?
False
Is 4090393 composite?
True
Is 19272709 composite?
False
Is 6909709 prime?
True
Is 8678639 composite?
False
Is 994427 composite?
True
Is 2545999 composite?
True
Is 222785549 composite?
True
Is 7381678 a composite number?
True
Is 22453211 a composite number?
True
Is 3560449 composite?
True
Is 23696707 a prime number?
True
Is 20956129 a prime number?
True
Is 22863986 composite?
True
Is 812387 composite?
False
Is 6362887 a prime number?
True
Is 15072349 a prime number?
True
Is 18657211 prime?
False
Is 6406055 prime?
False
Is 120502 composite?
True
Is 232241423 prime?
True
Is 67023779 composite?
False
Is 191160533 a composite number?
False
Is 34109741 prime?
False
Is 19155157 prime?
False
Is 53466505 composite?
True
Is 5449811 prime?
True
Is 1656371 a prime number?
False
Is 49695293 prime?
False
Is 221352091 composite?
False
Is 495058 a composite number?
True
Is 7699771 prime?
False
Is 264587 a prime number?
False
Is 39965557 a prime number?
False
Is 26856587 prime?
False
Is 569583187 a composite number?
True
Is 195649067 composite?
False
Is 109081121 a composite number?
True
Is 319295297 a prime number?
False
Is 12873149 composite?
False
Is 119858239 a prime number?
True
Is 62853661 prime?
False
Is 22014227 a composite number?
True
Is 21287701 a prime number?
True
Is 2014879 composite?
True
Is 1766971 composite?
False
Is 1715761 a prime number?
True
Is 11287391 composite?
True
Is 17518843 composite?
False
Is 4673003 composite?
False
Is 24923111 a prime number?
True
Is 733212287 a composite number?
False
Is 1063685603 a prime number?
False
Is 774314173 prime?
True
Is 8302859 a prime number?
False
Is 8628967 a composite number?
False
Is 2402921 a composite number?
False
Is 7905977 a prime number?
False
Is 3426277 a composite number?
False
Is 44223226 a prime number?
False
Is 4720937 a prime number?
False
Is 31133563 composite?
True
Is 199247 a composite number?
False
Is 1418647 a composite number?
True
Is 434909 composite?
False
Is 707534 composite?
True
Is 28694291 composite?
True
Is 1103579 composite?
False
Is 260366137 prime?
True
Is 1211377 composite?
True
Is 112570163 a composite number?
False
Is 2403651 prime?
False
Is 6945637 prime?
True
Is 76127563 prime?
True
Is 6230839 a prime number?
False
Is 2163877 composite?
True
Is 16930981 a prime number?
False
Is 2647069313 a prime number?
False
Is 12843599 composite?
False
Is 53982893 composite?
False
Is 3045059 composite?
True
Is 110879 composite?
False
Is 189288479 prime?
False
Is 10296571 a prime number?
False
Is 13100827 a composite number?
True
Is 2529377 a composite number?
True
Is 110729 a prime number?
True
Is 44067269 a prime number?
False
Is 11846477 prime?
True
Is 30209681 a prime number?
True
Is 7275101 prime?
False
Is 235188617 prime?
False
Is 136734259 a composite number?
False
Is 769382 prime?
False
Is 48519607 a prime number?
False
Is 31797433 a composite number?
True
Is 14351173 a prime number?
True
Is 4518109 a composite number?
False
Is 4585205 a composite number?
True
Is 35110697 a composite number?
False
Is 3847251 a composite number?
True
Is 323233653 a composite number?
True
Is 27834463 composite?
True
Is 37347809 a composite number?
False
Is 49433431 prime?
False
Is 74592241 a prime number?
True
Is 606113 a composite number?
False
Is 13171493 a composite number?
True
Is 85999733 a composite number?
True
Is 11635489 composite?
True
Is 74452579 composite?
False
Is 25037671 a prime number?
True
Is 19848193 prime?
True
Is 658859 prime?
False
Is 6135667 a composite number?
False
Is 12721789 composite?
False
Is 148103873 a prime number?
True
Is 281173 composite?
True
Is 66679019 prime?
False
Is 22806781 composite?
False
Is 67565983 a composite number?
True
Is 155388263 a composite number?
False
Is 208796153 composite?
False
Is 53544889 composite?
False
Is 428463433 a composite number?
True
Is 5261977 a prime number?
False
Is 16871 composite?
False
Is 1210631 a prime number?
True
Is 3032149 a composite number?
False
Is 9149453 prime?
False
Is 14645123 prime?
True
Is 2987911 composite?
False
Is 5030653 composite?
False
Is 22302173 a composite number?
True
Is 9065867 composite?
False
Is 17244947 a prime number?
True
Is 36442279 prime?
True
Is 54755677 composite?
False
Is 2450629 composite?
False
Is 600938447 prime?
True
Is 70594441 composite?
True
Is 418219331 a prime number?
True
Is 23897899 prime?
True
Is 130387591 composite?
True
Is 157031 composite?
True
Is 259479097 a composite number?
True
Is 16044785 prime?
False
Is 10957169 composite?
False
Is 3523711 prime?
True
Is 10331513 prime?
True
Is 20852309 a composite number?
False
Is 2592271 a composite number?
True
Is 247016197 prime?
True
Is 315766705 prime?
False
Is 24724807 a prime number?
True
Is 6002669 a prime number?
True
Is 2014451 a composite number?
True
Is 220053 composite?
True
Is 5509469 composite?
True
Is 2226811 composite?
False
Is 1875521 a composite number?
False
Is 21114127 prime?
True
Is 531931 prime?
False
Is 25188347 a prime number?
True
Is 6357751 prime?
True
Is 12035759 a prime number?
False
Is 171502 a prime number?
False
Is 17693833 a composite number?
False
Is 72860737 prime?
True
Is 14173307 a prime number?
True
Is 17358641 a composite number?
False
Is 26762059 prime?
True
Is 4192651 a composite number?
True
Is 880769 prime?
False
Is 5446333 composite?
True
Is 19344613 composite?
True
Is 11550113 composite?
False
Is 2105509 composite?
True
Is 1402403 a prime number?
False
Is 7349101 composite?
False
Is 2770883 a prime number?
True
Is 6949903 a prime number?
False
Is 3006529 composite?
False
Is 78168169 a composite number?
False
Is 4813309 a composite number?
False
Is 2147573 composite?
True
Is 3943517 a prime number?
True
Is 1984133 prime?
True
Is 21498518 a composite number?
True
Is 92099237 a composite number?
True
Is 1387655 a composite number?
True
Is 665813 composite?
False
Is 576713777 a prime number?
True
Is 13743901 composite?
False
Is 25398409 a composite number?
False
Is 605329 a composite number?
False
Is 314707 composite?
False
Is 244217 composite?
False
Is 10480831 a composite number?
False
Is 91491391 a composite number?
True
Is 3354553 prime?
True
Is 35575219 a prime number?
True
Is 974869 a composite number?
True
Is 128577263 a composite number?
False
Is 502966109 prime?
True
Is 2568539 a composite number?
True
Is 177029 a composite number?
True
Is 819479437 composite?
True
Is 1023521 a composite number?
False
Is 25742615 a prime number?
False
Is 5682073 prime?
True
Is 1343503 composite?
True
Is 101508371 a composite number?
True
Is 171248617 a prime number?
False
Is 415951433 composite?
False
Is 52863791 composite?
True
Is 2259269 a prime number?
False
Is 246233681 composite?
True
Is 10262123 prime?
True
Is 8678333 a composite number?
False
Is 9637991 a prime number?
False
Is 147083509 composite?
False
Is 13319791 prime?
True
Is 74516923 a prime number?
False
Is 438439 a composite number?
False
Is 2022191 composite?
False
Is 113320939 prime?
True
Is 11450669 composite?
False
Is 2896249 composite?
True
Is 31665031 a prime number?
True
Is 12066797 a composite number?
False
Is 375743 prime?
True
Is 15922457 composite?
False
Is 142353635 a composite number?
True
Is 19200677 prime?
False
Is 1975279 a composite number?
False
Is 108627811 a composite number?
True
Is 882888157 composite?
False
Is 10986181 a prime number?
False
Is 12287029 a composite number?
True
Is 10191 | {
"pile_set_name": "DM Mathematics"
} |
common denominator of -85/8 and o?
72
Let u = -254 + 144. Let t = u + 116. Calculate the smallest common multiple of 10 and t.
30
Suppose -23 = -8*i + 1. Suppose -r + 21 = i*n, -4*r = -4*n + 6 + 6. Calculate the lowest common multiple of n and 24.
24
Let y(k) = 71 - k**2 + k - 28 - 37. Calculate the smallest common multiple of y(2) and 20.
20
Suppose 4*x - 4 = 6*x. Calculate the least common multiple of 4*(-9)/(-3)*x/(-3) and 17 + 0 + -2 + -1.
56
Suppose 18*y = 22*y - 48. Calculate the least common multiple of 18 and y.
36
Suppose -5*v + c = -25, -2*c + c = 5. Calculate the lowest common multiple of 520 and v.
520
Let b = -464773/30 + 15491. Calculate the common denominator of b and -29/55.
330
Let h = -4793/2010 - -28/67. What is the common denominator of h and 101/6?
30
Let c(f) = -f**3 + 2*f**2 + 3*f. Let i be c(3). What is the common denominator of -2 + (14/35)/((-32)/808) and (-1 - i) + 86/12?
30
Let l = 811147/132 - 6145. What is the common denominator of 82/21 and l?
924
What is the common denominator of (97/6)/(0 - -1) and 13 - ((-755)/(-35) + -7)?
42
Let d = 22783/30 - 3693/5. Suppose 0 = -4*f + 52 + 68. Find the common denominator of (-1)/(-2) + (-18)/f and d.
30
Find the common denominator of (1/250)/((-8)/(-830)) and -51/20.
200
Suppose 52 = -8*a + 196. Calculate the smallest common multiple of 12 and a.
36
Find the common denominator of 79/126 and (-145)/14 + (-20 - -30) + -8.
126
Suppose -3*m - m = 2*i + 4, -i - 11 = 5*m. What is the least common multiple of 60 and i?
60
Suppose 4*g = 5*m + 67, 9*m - 6*m + 55 = -5*g. Calculate the common denominator of -93/8 and ((-1280)/(-450))/((-6)/m).
72
Suppose 12 - 57 = 5*g. Find the common denominator of g/(-63) - 181/(-56) and -61/22.
88
Let o(w) = -w**3 - 5*w**2 + 3*w - 7. Let x be o(-5). Let r = 40 + x. Let p(j) = j**2 - 3*j + 6. Calculate the least common multiple of p(4) and r.
90
What is the common denominator of (-117)/(-90) + (1 - 16/20) and -35/44?
44
Let h = 64 + -44. Let p = 1 - -39. Let s = 42 - p. What is the lowest common multiple of h and s?
20
Let f = -226903/16 + 14186. What is the common denominator of 12/16 - (-867)/180 and f?
240
Let v = 1/1152 + -4465/1152. Suppose 0 = -2*b + 161 + 211. Let t = -566/3 + b. Calculate the common denominator of t and v.
24
Suppose -2*t + 1 = -5. Let q(s) = -s**2 - 8*s**3 - 2*s**2 + 7*s**t + 4. What is the lowest common multiple of 20 and q(-4)?
20
Let t = -3127078 - -5409845159/1730. Let u = 103087/176460 + t. Find the common denominator of 11/18 and u.
612
Let s = -58/401 - 43351/8020. Find the common denominator of -67/28 and s.
140
Let a = 36909 - 2325199/63. Let u = -2843/213 + 1/71. Find the common denominator of u and a.
63
Let p = 71533/16 - 4477. Find the common denominator of 93/28 and p.
112
Let x = 16 - 23. What is the lowest common multiple of ((-144)/(-168))/((-2)/x) and 42?
42
Suppose j + 2*r - 68 = 0, -340 = j - 6*j + 4*r. Calculate the smallest common multiple of 2 and j.
68
Let m(x) = -2*x - 6. Let r be m(-6). What is the least common multiple of 129/9 - (-3)/(-9) and 39/r - 1/2?
42
Suppose 5*t = 11 + 99. Let s(z) = -z**3 - z - 5. Let a be s(0). What is the lowest common multiple of t and (a - 1)/(-3) - -6?
88
What is the common denominator of (-1119)/180 + (-4)/(-6) and (-1254)/396 + (-2)/((-2)/5)?
60
Find the common denominator of (-79)/4*(-4)/(-344) and -93/8.
344
Suppose -3*p - 2*j + 10 = 0, p + 4*j + 0*j - 10 = 0. Let n(k) = -47*k**2 - 2*k + 3. Let u be n(p). Find the common denominator of -22/5 and ((-1)/(-3))/(14/u).
10
Suppose 4*w = 16, 2*w = -7*d + 4*d - 13. Let a = d + 23. Let s = -7 + 27. Calculate the least common multiple of a and s.
80
Let l = 8015/103248 + -1/432. Let h = l + -5641/1912. Let w = -263/119 + -5/34. What is the common denominator of h and w?
56
Suppose 3*n = -i - 93, -2*n = -0*n + i + 62. Let o = 155995/6324 + -1/2108. What is the common denominator of o and (n/(-2))/((-20)/(-12))?
30
What is the common denominator of 6 + -1 + 3498/(-540) and -41/27?
270
Suppose 4*o + 1016685 = -o. Let c be o/(-20) + (-11)/(-44). Let s = c - 10179. What is the common denominator of 125/6 and s?
30
Let n be ((-4089)/6)/(959/(-19)). Let d = n + -2/959. What is the common denominator of (7/(-28) - (-43)/12)/(-3) and d?
18
Suppose 14 + 64 = 13*r. Calculate the lowest common multiple of 74 and r.
222
Suppose 0 = 23*z - 40 - 581. Calculate the lowest common multiple of z and 87.
783
Let w = 129 + -125. What is the least common multiple of 8 and w?
8
Suppose 8 + 36 = -2*q. Let v be (25/q - -1)*56519. Let m = 7709 + v. Find the common denominator of m and 13/20.
220
Let d = 2355/4 + -591. Find the common denominator of d and 125/12.
12
Let t(v) = -v**3 + 11*v**2 - 10*v - 2. Let d be t(10). Find the common denominator of -115/6 and d/11 - (-2766)/693.
42
Let l(r) = r**2 + 11*r + 31. Let a be l(-8). Suppose -9*z + a*z + 14 = 0. What is the smallest common multiple of 6 and z?
42
What is the common denominator of 9/85 and (-8)/10 - (-2684)/2090?
1615
Let c(g) = g**3 - 6*g**2 + 2*g + 2. Let v(a) = -a + 3. Let y be v(-3). Let f be c(y). Suppose -t + f = t. What is the lowest common multiple of 4 and t?
28
Let s(v) = -37 + 5*v**2 + 2 - 2*v**2 - 2*v**2. What is the smallest common multiple of s(-7) and ((-2)/4)/(2/(-20))?
70
Let w = -22987 + 689783/30. Let i = 9711 - 116635/12. What is the common denominator of i and w?
60
Let q(b) = -2*b**2 + 48*b + 10. Calculate the least common multiple of 12 and q(24).
60
Let l = -6159/38 + 162. Calculate the common denominator of 17/22 and l.
418
Calculate the lowest common multiple of (-2)/2 + 41 + -33 and 35.
35
Let z = -10019/5352 - 2/669. Find the common denominator of 47/446 and z.
1784
Let v = 28 - 10. Suppose -92 = -5*r + 3*y, y + v + 18 = 2*r. What is the least common multiple of 28 and r?
112
Let b = 62 - 32. Suppose 2*u + 5*y - 2 = 26, -u = -2*y - 5. Calculate the least common multiple of b and u.
90
Let s be (-270)/(-20)*(-4)/(-1). What is the smallest common multiple of 10/3*s/45 and ((-10)/(-3))/((-2)/(-6))?
20
Suppose -3*w = 3*c - 3, -2*w = -5*c - 4*w + 2. Let n = c + -8. Calculate the common denominator of 195/42 + (-4)/n and 71/3.
21
Let u = -330447471549815/42746 - -7730488739. Let o be ((-4)/(-19430))/((-4)/20). Let q = u + o. Calculate the common denominator of q and 15/16.
176
Let k = -1142 - -17149/15. What is the common denominator of 127/108 and k?
540
Let d be 1*-30*1/(-2) + -3. What is the common denominator of (166/(-324))/(4/d) and 23/6?
54
Let p = 124111/76 - 1633. What is the common denominator of (157/(-2) - -2)*49/1470 and p?
380
What is the common denominator of ((-708)/42)/(-4*6/42) and 41/650?
650
Let d = -9 - -11. What is the common denominator of 175/(-80)*d + -4 and -14/5?
40
Suppose -r - 2 + 4 = 0. Suppose 5*h = p + 145, -3*p - 3*h + r*h - 387 = 0. What is the common denominator of -11/6 and (4/(-10))/((-24)/p)?
6
Suppose -8 = 2*d - 3*f, d = -f - f + 10. Suppose d*u = 4*z + 46 - 14, 3*z + 15 = 0. What is the least common multiple of u and 13?
78
What is the least common multiple of 5920/8 + (1 - -2) and 1?
743
Suppose -3*d = d - 24. Suppose 0 = i + 82 - 22. Let w = -52 - i. What is the smallest common multiple of d and w?
24
Let w = 25 + 3. Suppose 4*p = -2*i + 48, i + p = -2*i + 57. Calculate the smallest common multiple of i and (60/(-35))/((-4)/w).
36
Let g = 16 - 5. Let w(k) = -19 - 15*k**2 + 25*k**2 + 6 - k**3 + 13*k. Calculate the smallest common multiple of g and w(11).
99
Let n = 913 + -14641/16. What is the common denominator of -39/4 and n?
16
Let u be (0 - 6)*(-6482)/(-1144). Let c = 452/13 + u. Find the common denominator of c and -13/4.
44
Let b be -3 - (-194)/(-4)*-2. Let g be b/(-12)*(-34)/(-6). Let w = -152/9 - g. Find the common denominator of 18/7 and w.
14
Suppose -2*v = 2 - 6. Suppose -3*d = 3*n + 15, d = v*n - n - 1. Calculate the common denominator of 2 + 21/(-4) + 1 and d.
4
Suppose -4*d + 90 = 14. Let v = -9 + 18. What is the lowest common multiple of d and v?
171
Let f be 9/3 - (-2)/(4/(-6)). Suppose -2*a + 7*a - 100 = f. Calculate the lowest common multiple of a and 202.
2020
Let h be (-1)/(-303)*60/(-230). Let o = -31716012724 - -442057785581747/13938. Let m = h + o. Calculate the common denominator of -61/6 and m.
6
| {
"pile_set_name": "DM Mathematics"
} |
(-4/11)/(u**(-2/9)/u*u*u*u**(-4)) assuming u is positive.
u**(1849/990)
Simplify ((o**(1/3))**(11/6)/(o**(-7)/o*o**(7/2)))/(((o*o**1)/o)/o*o*o*o*o**(-2/9)/o*(o/o**(-3/4))/(o**(2/3)/o)) assuming o is positive.
o**(5/4)
Simplify ((j**0)**(-1/4))**(3/4)*(j*j**(-2)*j*j**(-2/15)*j)**(1/52) assuming j is positive.
j**(1/60)
Simplify ((r**(2/5))**(1/10)*(r**3/r)/(r*r*(r*r**(-1))/r))/(r*(r**(1/4)*r)/r*(r*r*r/(r*r**(-8/7)))/r)**(-2/107) assuming r is positive.
r**(41323/37450)
Simplify ((h**(-2/9)/h)/(h/h**1*h))**18*(h**(-1))**(10/9)/(h**(-2/9)/h)**(1/3) assuming h is positive.
h**(-1099/27)
Simplify ((x/(x*(x*x/(x**(-9)/x)*x)/x)*x*x)/x**(3/2))**19/((x**4/x**4)/(x**7/x*x**(-4))) assuming x is positive.
x**(-433/2)
Simplify (f**1/f**(-1/3))**(-7)/((f**(-1/4))**(-27)/(f**1/(f**2*f*f))) assuming f is positive.
f**(-229/12)
Simplify (j**15/(j**(-13/3)*j)*(j**(1/7))**(-2/75))**(-24/7) assuming j is positive.
j**(-76984/1225)
Simplify ((b**(1/2))**(-4/3)*((b/(b/((b**(2/9)/b)/b*b))*b)/b)**(-34))/((b/(b*(b**1*b)/b))**(2/143)*b/b**7*b*b**(-2/11)) assuming b is positive.
b**(39863/1287)
Simplify ((v**(-5/14)/(v**30*v))/(v*v**(22/9)/v*(((v/(v/(v*v/(v*v/(v/((v/v**3)/v)*v))*v)))/v)/v)/v*v))**(-3/10) assuming v is positive.
v**(4763/420)
Simplify ((t/(t*t**0))**7)**49/((t/t**(2/3))**(9/2)/(t*t**(-2/19)*(t*t*t*t*t*t/t**6*t)/t)) assuming t is positive.
t**(-23/38)
Simplify ((z**(2/21)/(((z*((z/(z**(-1/12)/z))/z)/z*z)/z)/z))/(z/(z**(-2/9)/z))**(14/5))**(-39) assuming z is positive.
z**(20345/84)
Simplify (v/(v*v/(v/(v/v**8)))*v/(v**8/v)*v)**(-14)*(v**1)**(-29)*(v**7/v)/(v/(v/v**(-1))) assuming v is positive.
v**(-50)
Simplify (z/z**(-1/11)*z**(3/2)*z)/(z**3*z**1)*(z*z**1/z*z*z)**(-35)*(z**(-1/4)*z)**(12/5) assuming z is positive.
z**(-11397/110)
Simplify (((j*(j*j*j*j**(-1))/j*j)**(1/8)/(j**(3/5)/j**(1/7)))**32)**(-41) assuming j is positive.
j**(3772/35)
Simplify (((j*(j*j**(4/27)/j)/j)/j*j*j**(-21)/j)/(j**(-13/4))**(-9))**42 assuming j is positive.
j**(-38633/18)
Simplify (w/(w**24*w)*w*w**(-31))/(w**0*w**(-1/15)) assuming w is positive.
w**(-809/15)
Simplify (j**(2/5))**48*j/j**(-3/8)*j/(j**3*j)*j*(j/j**(-5)*j*j/j**(-1/2))/(j/j**1*j*(j*j*(j*j*j/(j**3/j))/j)/j) assuming j is positive.
j**(1003/40)
Simplify (((f**(1/3)*f**(-3/5))/(f**(-2/5))**(1/6))**(-6))**21 assuming f is positive.
f**(126/5)
Simplify (a**(-1))**3/(a/(a/a**(1/4)))**(2/21)*((a/a**(-3))/a**(-2/3))**(-18) assuming a is positive.
a**(-3655/42)
Simplify j/(j/(j**(-7/5)/j))*j/(((j*j*j**(-4/5)*j)/j)/j)*(j**14)**42 assuming j is positive.
j**(2932/5)
Simplify (m**(-1/5)/m*m**9*m**(-1)*m*m**(2/11)*m)**(11/5) assuming m is positive.
m**(494/25)
Simplify (((s*(s/s**26)/s)/s)/((s*s/(s**(1/23)*s))/s))/((s*s/(s*s**(1/75)))/(s*s/(s**(-4)/s)*s*s*s)) assuming s is positive.
s**(-29227/1725)
Simplify (l**(1/2)/(l**(2/3)*l))/(((l**0*l)/l*l)/l*l*l)**(-10)*(l**(-5)*l*l)/(l*l**(-3/2))*l/(l/l**2)*l*(((l**7*l)/l)/l)/l assuming l is positive.
l**(73/3)
Simplify (w/(w*w**(5/4))*w*w/(w*w/(w**(-1/4)*w)))**45/(w**(2/3)/(w/(w*w*w*w/(w/w**(4/3))))*((w*w**1/w)/w)**(1/7)) assuming w is positive.
w**(-53/2)
Simplify (s*s**4*s*s**(-5)/s)**(22/7)*((s/s**(1/6))/s**3)**(-34) assuming s is positive.
s**(221/3)
Simplify ((((y**6/y*y)/y*y)/y*y)/y**(-1))/(y**(-2/9))**(1/16)*(y**(-2)*y)/y**(6/5)*(y*y/y**1)**(-1/27) assuming y is positive.
y**(5159/1080)
Simplify (((p/(p/(p/(p*p**(3/4)*p))))/(p*p**(1/2)))/((p**(-8)*p)/((p/(p*p**13*p))/p*p)))**(-35) assuming p is positive.
p**(1435/4)
Simplify (((v**(-4)/v)/v*v**(5/8))/(v**5)**48)**(-25/4) assuming v is positive.
v**(49075/32)
Simplify ((j**(-2/3))**(-2/43)*j*j*j**(-1)*j*(j*j**(-1/14)/j)/j)/((j**(-2/3))**(-8)/(j*j*j**(1/3))**(-1)) assuming j is positive.
j**(-12113/1806)
Simplify ((p/(p**0/p))**40/(p*p*(p**(-8/11)*p*p)/p)**(-5/3))**(-1/11) assuming p is positive.
p**(-2765/363)
Simplify ((j**(-5/11))**(5/3)/(j**(4/7)/j)**(-29))**26 assuming j is positive.
j**(-79196/231)
Simplify (((i**(-1/2)*i)/(i*i*i*(i**(-2/9)/i)/i))/(((i*i**(-4))/i)/(i/(i*i**6))))/((i**(-2/7))**(-12/7)*i**(-5)/i**(3/7)) assuming i is positive.
i**(2347/882)
Simplify ((w**(4/3))**8)**(-1)/((w*w**2)**(-1/3)*(w**(-4/7)*w)/w**(8/7)) assuming w is positive.
w**(-188/21)
Simplify (g**(1/3)/g**(-5))/(g**(-4)/g**3)*((g/g**(1/5))/(g/(g*g*(g*g**(-2/15)/g)/g)))**43 assuming g is positive.
g**41
Simplify f**(-1/6)/(f**(-2)/f)*f**(4/5)/((f**(1/7)*f)/f)*(f**(-1))**(-19)*(f**0)**(-28) assuming f is positive.
f**(4723/210)
Simplify (z/z**(-42))**(-39)/(z**(-2/5)/z)**(-4/3) assuming z is positive.
z**(-25183/15)
Simplify (i*i*i/(i**10*i*i)*i*i**(-9)*i**(-6/11)/((i*i/((i**(-8/3)/i)/i))/i*i))**(-2/5) assuming i is positive.
i**(1598/165)
Simplify (((s**(-2/19)*s)/(s/s**(-7)))/(s*s/s**(-1)*s*s**(-7)))/((s**2)**23)**(-1/11) assuming s is positive.
s**(16/209)
Simplify (((d**(-2/9)*d*d**(-1)*d)**(-2))**(4/5))**(9/2) assuming d is positive.
d**(-28/5)
Simplify ((((k**(-4)*k)/k)/k)/(k*k/(k**(-1)*k))*(k**0)**(43/3))/((k/(k**(2/5)/k))**(-42))**(1/2) assuming k is positive.
k**(133/5)
Simplify ((((d/(((d*d*d*(d*(d**(-1)*d)/d)/d)/d)/d))/(d**(-4/7)*d))/((d/((d*d**(-7)*d)/d))/d*d/(d*d**(4/3)/d)))**(8/19))**42 assuming d is positive.
d**(-1712/19)
Simplify (d*d/((d/(d/(d*d*d/(d/d**22))))/d)*d**(-15/7)*d**(2/15)*d/d**(4/11))**(-4/17) assuming d is positive.
d**(103364/19635)
Simplify ((f**(6/11)/(f*f/(f/(f**(-1/3)/f))*f))/(f**(1/4))**(9/8))/(f**5*f**(-1)*f*f*f*f**6*f*f*f*f**5) assuming f is positive.
f**(-22601/1056)
Simplify (((i/(i*i*i**(-1)))/i*i)**(-10/3))**(-1/3)*((i**(-3))**17)**(1/3) assuming i is positive.
i**(-17)
Simplify ((z**(-1))**43/(z**(1/4)/z*z*z)**(-23))/((z*(z**(-1/6)*z)/z*z*z*z**(-1/7))/(z**(-1)*z)**(-1/30)) assuming z is positive.
z**(-1423/84)
Simplify ((n*n*n*n**1*n)**(-18)/(n**(4/9)/(n*n**(-8)*n)))/((n**(-2/13)/n)**(-7/4))**(-17) assuming n is positive.
n**(-29071/468)
Simplify (u/(u/(u**(-3)*u)))/u*u/(u/(u/(u/(u**(-4)/u))))*u**(-1)/u*u**(-4/9)*((u/u**1)/u)**(-1/29)*u**(-1)*u/((u*u**(-1/8))/u)*u assuming u is positive.
u**(-19387/2088)
Simplify ((z/(z/(z**(-8)*z)))/(z**(-2/9)*z)*(z*z/z**6)/z*z**(1/4)/z*z)/((z*z/(z/z**(-1/3)))**40)**(-30) assuming z is positive.
z**(28349/36)
Simplify n**(2/19)*n*(n*n**(3/4)/n)/n*(n*n**(6/7))/(n*(n/(n**0*n))/n)*(n*n**(-6)/n*n**(-1/4))/(n**(-1/4)/(n**(2/5)/n*n)) assuming n is positive.
n**(-7681/2660)
Simplify j**(-7)*j**(1/5)*(j*j**(-2/7))**(6/11)*(j**(-7)*j*j*j**4)/((j/(j*j/j**4))/j*j*j*j**(-2/9)) assuming j is positive.
j**(-38767/3465)
Simplify ((x**(2/3))**49*x/(x*x**(2/9))*((x/((x**3/x)/x))/x)/x*x)/((x/x**1)**(-6)*(x/x**(1/4))**(7/4)) assuming x is positive.
x**(4339/144)
Simplify ((h*h*h*h*h/(h*h**(-9/4))*h*h)/h**16*(h**(3/14)*h)**1)**(-4/9) assuming h is positive.
h**(61/21)
Simplify (c**(-2/7)*c)**17*c*c**(-2/5)*((c**(1/3)*c)/c)/c*(c**(-2/7))**(-9/5)/(c**1/c*c*(c/(c/(c/(c**(-2/19)/c))))/c*c*c) assuming c is positive.
c**(16928/1995)
Simplify y**(2/9)*y*y*y/(y**6*y)*y*y**(4/5)*(y/(y**5/y))/y*y*(y**(-2/5)/y)**39/((y*y**(2/17))/y**4) assuming y is positive.
y**(-43372/765)
Simplify (((a/((a*a**(1/4)/a*a)/a))/a*a)**(-16)*a*a/a**(-6/7)*a/a**0)/(a/(a/(a**(-6/5)/a))*a/(a*a**(-1)))**(-1/4) assuming a is positive.
a**(-591/70)
Simplify (u**(-2/129)/u)/((u/(((u/(((u**(-4/21)*u)/u)/u))/u*u)/u)*u)/u)*u**(22/9)*u/(u*(((u**(-6)/u)/u)/u*u)/u*u) assuming u is positive.
u**(26059/2709)
Simplify ((q**1)**(-4/3)/(q**(-2/7)/q)**(-40))/((q/q**(-2))/(q*(q**1*q)/q*q)*q/q**(2/15)*q*q*q**(-1/2)*q) assuming q is positive.
q**(-3929/70)
Simplify ((l*l**(-4))/l)/l**(2/11)*(l/((l**(-2/3)/l)/l))**15*(l**3/(l*l*l**(2/5)))**(-48) assuming l is positive.
l**(1211/55)
Simplify (d*d**0)**(-29)*d**(-1)*d*d**(-3/4)*d**(-1/4)/d*d*d/(d/(d*d**2)*d)*d*d**(3/7)*d**2 assuming d is positive.
d**(-172/7)
Simplify ((t*t**(2/15))/t**(-3))**(3/4)/(t**(-3/10)/(t/(t/(t/(t*((t/t**1)/t*t)/t))))*t**(-2/7)/(t*t/t**(4/9))) assuming t is positive.
t**(1966/315)
Simplify s**(1/25)*s**(-14/9)*s*s/(s/(s/s**(2/3)*s))*s**(-6/5) assuming s is positive.
s**(-86/225)
Simplify k**(2/7)/(k*k**7)*k/(k*k**(-2/11))*k**(-2)*(k/k**(-3))/k*k**2/k*k**(4/7)*k**4*k*k assuming k is positive.
k**(80/77)
Simplify n*(n/(n/(n*n/(n/(n*n**(-23))))))/n*n**(-28)*n*(n**(-3/7))**31 assuming n is positive.
n**(-429/7)
Simplify (y**1*y)**(-6/11)/((y*y*y**6)/((y*y**(-6)/y*y | {
"pile_set_name": "DM Mathematics"
} |
= 2*c. Determine h(o(d)).
2*d
Let o(k) = -74*k + 41*k + 35*k. Let f(n) be the first derivative of -2*n**3/3 - 1. What is o(f(u))?
-4*u**2
Let a(p) = -11*p**2. Let d(y) = -16*y**2. Let l(b) = -7*a(b) + 5*d(b). Let k(h) = 3*h. Calculate l(k(g)).
-27*g**2
Let j(b) be the first derivative of -b**4/2 + b - 2. Let c(k) be the first derivative of j(k). Let m(r) = r**2. Give c(m(h)).
-6*h**4
Let o(d) = 3*d**2 + 10. Let r(y) = 8*y**2. Determine o(r(t)).
192*t**4 + 10
Let n be (-25)/(-15)*6/2. Let x = 8 - n. Let o(c) = -x*c + 4*c + c. Let q(u) = -u**2. Determine q(o(z)).
-4*z**2
Let a(h) = 9*h**2. Let s(z) = -2*z**2 + 5. Let d(v) = -v**2 + 3. Let k(b) = -5*d(b) + 3*s(b). Calculate k(a(o)).
-81*o**4
Let r(o) be the second derivative of o**3/2 + 4*o. Let p(d) = 2*d + 6*d - 4*d. Give p(r(j)).
12*j
Let i(u) = 10*u**2. Let j(b) = 8*b. What is i(j(k))?
640*k**2
Let z(f) = 3*f. Let w(i) = i. Let q(a) = 5*w(a) - z(a). Let g(j) = 3 - j**2 - 3. Calculate q(g(h)).
-2*h**2
Let q(m) = 148*m. Let c(w) = 15*w + 6. What is c(q(h))?
2220*h + 6
Let q(n) be the second derivative of n**4/4 + 4*n. Let a(j) = 4*j. Calculate a(q(o)).
12*o**2
Let c(q) = 6*q. Let z(i) be the second derivative of -i**4/6 + 6*i. Determine c(z(w)).
-12*w**2
Let b(o) = 3*o. Let u(d) = -33*d + 17*d + 14*d. Give b(u(y)).
-6*y
Let q(u) = 3 - 3 - u**2 + 0 + 3*u. Let i be q(3). Let g(r) = 2 + i*r**2 - 3*r**2 - 2. Let f(a) = -2*a**2. Calculate f(g(w)).
-18*w**4
Let c(u) = -7*u**2. Let n = -15 - -22. Let k(s) = -13*s**2. Let i(h) = n*c(h) - 4*k(h). Let w(o) = -4*o**2 + 0*o**2 + 2*o**2. Calculate i(w(j)).
12*j**4
Let o(h) be the second derivative of h**3 - 16*h. Let j(y) = y**2. Determine j(o(d)).
36*d**2
Let l(t) = -5*t - 17 + 9 + 8. Let o(q) be the first derivative of q**2/2 + 1. Give l(o(z)).
-5*z
Let f(h) = 5*h. Let o(n) be the second derivative of -n**3/3 + 6*n. Calculate o(f(w)).
-10*w
Let h(c) = 3*c**2. Let p(t) be the second derivative of -t**4/4 - 6*t. Calculate p(h(k)).
-27*k**4
Let t(r) = -2*r - 19. Let p(w) = 2*w**2. Calculate p(t(x)).
8*x**2 + 152*x + 722
Let c(k) = -558*k. Let a(o) = -4*o**2. Determine a(c(v)).
-1245456*v**2
Let v(s) = 45*s. Let r(f) = -2*f. Let x(z) = 20*r(z) + v(z). Let w(k) = -2*k + 4*k - 3*k. Determine x(w(o)).
-5*o
Let a(r) = 6*r. Let h(w) = 2*w - 8. Let k(p) = -p + 5. Let g(x) = -5*h(x) - 8*k(x). Calculate a(g(s)).
-12*s
Let r(v) = 2*v. Suppose -5*l + l + 68 = 0. Let x(s) = -3*s - 17 - 9*s + l. What is x(r(k))?
-24*k
Let j(g) = 3*g**2. Let m(n) = -3468*n. Calculate j(m(z)).
36081072*z**2
Let v(w) be the third derivative of -7*w**5/60 - 10*w**2. Let j(q) = q**2. What is v(j(t))?
-7*t**4
Let m(u) = -13*u + 19. Let h(f) = 6*f. Determine h(m(q)).
-78*q + 114
Let m(t) = 5*t**2. Let g(i) = 15*i**2. Let d(f) = -7*f**2. Let u(x) = -13*d(x) - 6*g(x). Calculate m(u(o)).
5*o**4
Let q(c) = 9*c**2. Let p(h) = h - 105 + 105. What is q(p(t))?
9*t**2
Let n(r) = 44*r. Let u(m) = 2*m**2 - 4. Let t(g) = -5*g**2 + 9. Let z(i) = 4*t(i) + 9*u(i). Calculate n(z(y)).
-88*y**2
Let h(k) = -9*k. Let m(x) be the first derivative of x**3 + 9. Determine h(m(g)).
-27*g**2
Let m(x) = -2*x**2 + 566*x - 1. Let t(i) = 6*i. Give m(t(n)).
-72*n**2 + 3396*n - 1
Let t(g) = -14*g. Let j(o) be the first derivative of -o**3/6 + 4*o - 8. Let y(r) be the first derivative of j(r). Determine y(t(q)).
14*q
Let w(j) = -2*j**2. Let z(b) = 201*b. What is z(w(f))?
-402*f**2
Let l(h) = -h**2 - 3. Let s(o) be the first derivative of o**3/3 + 4*o + 1. Let v(n) = -4*l(n) - 3*s(n). Let y(r) = 2*r**2 + 2*r - 2*r. Determine y(v(f)).
2*f**4
Let q(n) = 76*n**2 + n. Let f(c) = 3*c. Give q(f(v)).
684*v**2 + 3*v
Let g(i) = 40*i**2. Let v(a) = -38*a. Give v(g(k)).
-1520*k**2
Let b(g) = -7*g**2 - 6*g**2 + 6*g**2 - g**2. Let r(n) = 2*n. Calculate r(b(x)).
-16*x**2
Let a(n) = 2*n**2. Let g(c) be the second derivative of 0 - 1/12*c**4 + 0*c**3 + 0*c**2 - 8*c. What is g(a(q))?
-4*q**4
Let g(c) = -c + 4*c + 3*c. Let f(w) = 2*w. Determine f(g(l)).
12*l
Let k(u) be the first derivative of u**2/2 - 2. Let f(h) = -5*h**2. What is f(k(j))?
-5*j**2
Let v(a) = a - a + 7*a - 2*a. Let p(y) = -3*y. Give v(p(d)).
-15*d
Let n(w) = -6*w. Let j(t) = 7*t - 2. What is j(n(z))?
-42*z - 2
Let i(y) = y**2. Let m(b) = 20352*b. What is i(m(d))?
414203904*d**2
Let c(a) = -15*a**2. Let l(k) = -4*k + k**2 + 0*k + 4*k. What is l(c(r))?
225*r**4
Let d(q) = -q. Let k(u) = -3*u - 186. Give k(d(y)).
3*y - 186
Let y(m) = -m. Let c(h) be the second derivative of 0 + 1/12*h**4 + 1/2*h**2 + 0*h**3 - 4*h. Let i(f) be the first derivative of c(f). What is y(i(d))?
-2*d
Let o(w) = 157*w**2. Let r(t) = -t**2. Give r(o(m)).
-24649*m**4
Let t(b) = -2*b**2. Let m(n) = 2*n + 112. Give t(m(s)).
-8*s**2 - 896*s - 25088
Let q(n) be the third derivative of -7*n**2 + 0*n + 0 - 1/60*n**5 + 0*n**3 + 0*n**4. Let z(h) = 2*h. Give q(z(c)).
-4*c**2
Let d(l) = 81*l**2. Let s(m) = 39*m**2. What is s(d(q))?
255879*q**4
Let o(v) = -v. Let p(l) be the second derivative of 0*l**2 - l + 0*l**3 - 1/4*l**4 + 0. Give o(p(q)).
3*q**2
Let r(w) = -w**2. Let s(b) = -58*b - 11. Let u(i) = 19*i + 4. Let v(x) = 4*s(x) + 11*u(x). What is v(r(o))?
23*o**2
Let u(f) = -3*f**2. Let z(i) = 2*i - i - i + 3*i. What is u(z(m))?
-27*m**2
Let i(u) = -10*u**2. Let r(h) = -h. Let g(v) = -5*v. Let l(z) = g(z) - 6*r(z). What is l(i(a))?
-10*a**2
Let n(u) be the second derivative of u**5/60 + u**2/2 + 4*u. Let j(r) be the first derivative of n(r). Let x(f) = -7*f**2. What is x(j(m))?
-7*m**4
Let u(s) be the second derivative of -s**6/120 + s**3/6 - 3*s. Let l(f) be the second derivative of u(f). Let i(h) = h**2. Determine l(i(q)).
-3*q**4
Let x(g) = -g. Let s(y) = -1959*y. Calculate s(x(p)).
1959*p
Let t(u) = -90*u**2 - 3. Let h(n) = n. What is h(t(c))?
-90*c**2 - 3
Let z(g) = g. Let d(f) = -91*f**2. What is z(d(a))?
-91*a**2
Let o(i) be the third derivative of 0*i**3 + 0 - 1/12*i**4 + 0*i + 2*i**2. Let z(r) = -6*r**2. What is z(o(m))?
-24*m**2
Let p(y) be the first derivative of 0*y**2 - 2/3*y**3 + 0*y - 1. Let x(f) = -f**2 + 3. Let k(h) = -h**2 + 5. Let j(q) = -3*k(q) + 5*x(q). What is j(p(r))?
-8*r**4
Let b(p) be the third derivative of p**4/12 + p**2. Let m(k) = -3*k**2 - 2*k**2 + 8*k**2 + k**2. What is b(m(q))?
8*q**2
Let s(t) = -25*t**2. Let m(q) = 3*q - 7*q + 4*q - 2*q. Give m(s(c)).
50*c**2
Let r(d) = 2*d. Let c(x) = 6903*x**2. What is c(r(y))?
27612*y**2
Let w(i) = -2*i. Let n be 30/9 - 2/(-3). Let o be 0/1 - (1 + -3). Let v(h) = n*h**2 - 2*h**2 + 0*h**o. Determine w(v(y)).
-4*y**2
Let y(b) = b**2. Let l(p) = -4*p. Let f(h) = h + 0*h - 10*h. Let s(x) = 2*f(x) - 5*l(x). Give y(s(c)).
4*c**2
Let q(n) = 4*n**2 - 1. Let k be q(-1). Let w(i) = i - k*i**2 - i. Let l(y) be the first derivative of -y**3/3 - 1. Give l(w(o)).
-9*o**4
Let i(u) = -2*u. Let q(b) be the first derivative of 1/3*b**3 + 0*b**2 - 2 + 0*b. Determine q(i(n)).
4*n**2
Let k(i) be the second derivative of -i**3/3 - 2*i. Let j(h) = -2*h. Determine j(k(a)).
4*a
Let a(t) = 3*t. Let g(i) be the third derivative of -i**4/12 - 4*i**2. Give g(a(j)).
-6*j
Let w(t) = 5*t - 6. Let y(k) = -6*k + 7. Let j(n) = -7*w(n) - 6*y(n). Let f(v) = 2*v - 3. Let h(m) = m - 1. Let s(c) = -5*f(c) + 15*h(c). Calculate j(s(q)).
5*q
Let f(v) = 19*v**2 + 2*v. Let y(x) be the third derivative of -x**4/12 + 19*x**2. What is y(f(c))?
-38*c**2 - 4*c
Let v(p) = 3*p**2. Let h(w) = 897*w**2 + 169*w - 169. Let q(z) = 32*z**2 + 6*z - 6. Let j(m) = 6*h(m) - 169*q(m). Determine j(v(l)).
-234*l**4
Let l(v) = 20406*v. Let h(d) = d**2. Calculate h(l(c)).
416404836*c**2
Let x(l) = 7*l. Let z(r) = -r + 6*r - 8*r. What is x(z(o))?
-21*o
Let q(t) = -3*t. Let n(y) be the third derivative of -y**4/12 - y**2. Calculate n(q(w)).
6*w
Let n(y) = 61*y - 3. Let p(l) = 2*l. Determine p(n(j)).
122*j - 6
Let f(n) be the second derivative of 5*n**4/12 + n. Let x(t) be the first derivative of t**2/2 - 2. Calculate f(x(g)).
5*g**2
Let i(o) = -2*o**2. Let j(y) = -3081*y - 1. Determine i(j(d)).
-18985122*d**2 - 12324*d - 2
Let n(h) = 6*h. Let y(k) be the third derivative of -k**4/24 + k**2. Calculate n(y(r)).
-6*r
Let t(i) = 2*i - 2*i - 2*i + 3*i. Let w(d) = 1 - 1 - 6*d. Give t(w(s)).
-6*s
Let z(w) be the second derivative of w**4/3 + 5*w. Let g(a) = 3*a**2. Calculate z(g(f)).
36*f**4
Let s(q) = 3*q. Let h(r | {
"pile_set_name": "DM Mathematics"
} |
s(d). Let c(m) = -2*m**2. What is n(c(g))?
-12*g**2 - 5
Let b(t) be the third derivative of 7*t**4/12 + t**2. Suppose 2049 = 4*g - 6*j + 5*j, 3 = j. Let s(x) = -g*x + 513*x - x**2. What is s(b(v))?
-196*v**2
Let d(j) be the third derivative of -j**4/6 - 68*j**2. Let v(o) = 16*o**2 - 2*o. Calculate v(d(b)).
256*b**2 + 8*b
Let d(j) = 0*j**2 - j**2 + 2*j**2. Let x(o) be the second derivative of 7*o**3/6 - 5*o + 36. Calculate d(x(r)).
49*r**2
Let k(i) = -i + 2. Let f(n) = 12*n**2 - 6*n + 12. Let y(c) = f(c) - 6*k(c). Let a(w) = -13*w. Calculate a(y(d)).
-156*d**2
Let m(d) = -d - 2. Let p(x) = 2*x + 2. Let u(g) = -m(g) - p(g). Let w(s) = -s. Give u(w(t)).
t
Let a(q) = 16*q. Let u(b) be the third derivative of b**4/8 - 180*b**2. What is u(a(g))?
48*g
Let h(k) = k - k + 2*k**2. Let a(i) = 1363*i - 452*i - 457*i - 460*i. Give a(h(y)).
-12*y**2
Let u(h) = -26*h**2 + 3*h. Let z(o) = o. Let w(a) = -27*a**2 + 3*a. Let r(g) = w(g) + z(g). Let q(m) = 3*r(m) - 4*u(m). Let l(v) = 2*v. Determine l(q(s)).
46*s**2
Let m(d) = -2*d. Let w(l) be the first derivative of 7*l**2 + 272. Determine w(m(f)).
-28*f
Let s(n) be the third derivative of 13*n**5/30 + n**3/2 + 26*n**2 + n. Let h(t) = -t. What is h(s(u))?
-26*u**2 - 3
Suppose 6*b = b - 20. Let v be (14/b)/(10/(-20)). Let g(k) = 8*k - 6*k - 7 + v. Let z(a) = -a**2. What is z(g(c))?
-4*c**2
Let p(j) = -2*j. Let u(k) = 2959*k**2 + 352. Let o(x) = -102*x**2 - 12. Let y(l) = -88*o(l) - 3*u(l). Calculate p(y(d)).
-198*d**2
Let h(v) = 1869*v. Let l(d) = 2*d**2 + 39*d. What is h(l(n))?
3738*n**2 + 72891*n
Let v(g) = -2*g**2. Let x(w) = 76*w**2 - 20*w - 2. Give x(v(c)).
304*c**4 + 40*c**2 - 2
Let g(d) be the first derivative of d**2 + 9*d + 148. Let q(y) = -3*y**2. Determine g(q(k)).
-6*k**2 + 9
Let k(y) = y - 123. Let w = 115 - 114. Let t(i) = 2. Let a(z) = 2*z + 24. Let l(x) = w*a(x) - 12*t(x). Give k(l(m)).
2*m - 123
Let w(b) = b**2. Let c(i) = -2183325*i. Give c(w(z)).
-2183325*z**2
Let a(q) = 690*q. Let n(j) = 1149 + 1136 - 2285 + j. What is n(a(u))?
690*u
Let d(z) = 3*z. Let j = -23 + 45. Suppose -3*x + j = 4*m, 3*x = x - 4. Let i(g) = -8*g**2 - m*g**2 + 16*g**2. Give i(d(p)).
9*p**2
Let y(q) be the second derivative of -q**3/6 - 2*q - 9. Let z(s) = -25*s - 6. Let b(c) = 525*c + 125. Let j(h) = 6*b(h) + 125*z(h). What is j(y(u))?
-25*u
Let z(v) be the third derivative of 11*v**4/6 - 9*v**2 + 8. Let x(r) = 5*r**2. Determine z(x(u)).
220*u**2
Let i(m) be the first derivative of -m**3/3 - 41*m + 41. Let u(h) = 2*h. What is i(u(l))?
-4*l**2 - 41
Let f(y) = 7*y**2. Let i(j) be the third derivative of -j**5/12 - 5*j**4/24 + 301*j**2. Give f(i(s)).
175*s**4 + 350*s**3 + 175*s**2
Let a(t) be the first derivative of 4*t**3/3 + 3*t + 2. Let r(o) be the first derivative of a(o). Let z(l) = -28*l + 10*l + 17*l. Calculate r(z(g)).
-8*g
Let k(g) = -39*g. Let t(u) be the third derivative of 0*u**4 - 3*u**2 + 1/60*u**5 + 0*u + 0 + 0*u**3. Give k(t(n)).
-39*n**2
Let n(r) = 344*r - 171*r - 174*r. Let x(p) = -2*p**2 - 15. What is x(n(l))?
-2*l**2 - 15
Let s be (-2)/(-16) - (-2)/(-16). Let r(y) = -y + s*y + y + y. Let b(t) = -53*t - 3*t**2 + 53*t + 11*t**2. What is r(b(o))?
8*o**2
Let z(w) = 2*w**2 + 107*w. Let h(x) = -16*x - 5*x + 3*x**2 - 2*x**2 + 21*x. What is z(h(t))?
2*t**4 + 107*t**2
Let g(i) = -i. Let q(u) be the second derivative of -25/6*u**3 - 2*u + 0*u**2 + 0. Determine q(g(a)).
25*a
Let u(l) = 13*l + 22*l - 55*l + 19*l + 15*l. Let v(c) be the first derivative of -3*c**2 - 1. Give u(v(t)).
-84*t
Let a(n) = 6*n**2. Let y(h) = 102*h + 35. Calculate y(a(q)).
612*q**2 + 35
Let c(i) be the second derivative of -1/12*i**4 + 0*i**2 + 0 - 6*i + 0*i**3. Let x(v) be the second derivative of -13*v**4/12 - 27*v. What is c(x(j))?
-169*j**4
Let z(h) = -59 + 131 - h - 72. Let w(m) be the second derivative of 5*m**3/2 - m. Determine w(z(j)).
-15*j
Let q(o) = -102*o**2 + 11*o**2 + 89*o**2. Let z(u) = 2*u**2 - 255. Calculate z(q(g)).
8*g**4 - 255
Let w(z) = -5*z. Let g(n) = 29416*n**2. Calculate w(g(p)).
-147080*p**2
Let s(t) be the first derivative of -5*t**3/3 + 1. Let p(c) = 5*c**2 - 3*c - 3. Let m(n) = 3*n**2 - 2*n - 2. Let z(w) = -3*m(w) + 2*p(w). Determine s(z(q)).
-5*q**4
Let w(o) be the third derivative of -o**4/24 + 2*o**2. Let z(s) = -21*s**2 + 5*s. Let l(m) = 19*m**2 - 6*m. Let x(q) = 5*l(q) + 6*z(q). Determine w(x(t)).
31*t**2
Let y = -321 - -1174. Suppose -5*c = 1788 - 6053. Let b(n) = c - y + n. Let s(u) = 4*u**2. Calculate b(s(g)).
4*g**2
Let d(s) = -24*s**2. Let j(w) be the third derivative of w**8/10080 - w**5/4 + 9*w**2. Let i(v) be the third derivative of j(v). Calculate i(d(k)).
1152*k**4
Let a(m) = -3*m**2 - 1168*m + 2. Let b(l) = -l. Give b(a(n)).
3*n**2 + 1168*n - 2
Let w(v) = -8*v**2 + 17*v**2 - 19*v**2. Let f(y) = -5*y**2. Calculate w(f(a)).
-250*a**4
Let r(x) = -44 + 44 - 8*x. Suppose 0 = 3*c + 12, 56 = 2*j + 2*j - 2*c. Let v(d) = -12 + j - d. Determine r(v(m)).
8*m
Let s(x) be the first derivative of x**2 + 2. Let f = 2 - -14. Let y(p) = -11*p + f*p - 12*p. Give y(s(t)).
-14*t
Let m(z) = -75*z. Let w(h) be the third derivative of h**5/30 + 6*h**2. Calculate w(m(g)).
11250*g**2
Let x(h) = 74*h**2 - 2*h + 3. Let a(q) = -q - 2. Give a(x(j)).
-74*j**2 + 2*j - 5
Let o(g) = -2*g**2. Let z(d) = 5716*d. Calculate z(o(t)).
-11432*t**2
Let x(z) = z**2 - 54*z. Let d(m) = 3076*m. Calculate d(x(w)).
3076*w**2 - 166104*w
Let c(h) = -788*h. Let f(q) = -2*q**2 - 87*q - 12. What is f(c(t))?
-1241888*t**2 + 68556*t - 12
Let z(d) = -35*d**2. Let g(b) be the first derivative of -1/3*b**3 - 29 + 0*b**2 + 0*b. Give z(g(s)).
-35*s**4
Let n(y) = -3*y. Let k(s) = -210*s - 45. Let a(j) = 28*j + 3. Let c(o) = -15*o - 2. Let d(m) = -2*a(m) - 5*c(m). Let f(b) = 45*d(b) + 4*k(b). What is n(f(x))?
-45*x
Suppose 0 = -w + 3 + 1. Let n(u) = 0*u**2 + w*u**2 + 4*u**2 - 5*u**2. Let k(a) be the first derivative of 4*a**3/3 - 3. Determine k(n(v)).
36*v**4
Let a(b) = 2*b + 19. Let m(x) = -3*x**2 + 14*x**2 - 8*x**2 - 4*x**2. Calculate m(a(r)).
-4*r**2 - 76*r - 361
Let d(u) = -2*u. Let m(w) = 162*w - 2. Let l(p) = 490*p - 7. Let v(c) = -2*l(c) + 7*m(c). What is v(d(k))?
-308*k
Let g(o) = -2*o. Suppose -4*v = -0*q - 3*q + 16, 0 = -5*v + 10. Suppose -j - 2*d - 2 = -q, j + 4*d = 4. Let h(a) = -6*a - j*a - 6*a + 18*a. What is h(g(m))?
4*m
Let n(x) = 2*x**2 - 30*x. Let u(k) = 5*k**2. Calculate n(u(q)).
50*q**4 - 150*q**2
Let o(t) = 14*t**2. Let x(i) = -108673*i. Determine x(o(p)).
-1521422*p**2
Let w(s) = -2*s. Let l = 24 + -12. Suppose -g - 10 = -3*y + 13, 0 = 2*y - 4*g - l. Let b(m) = 8 + m - y. Give b(w(v)).
-2*v
Let s(j) = -j**2. Let r(o) = -20 + 34 + 7 - 2*o. Determine s(r(z)).
-4*z**2 + 84*z - 441
Let l(h) = -4*h**2. Let o(u) = -25*u**2. Let b(p) = -6*l(p) + o(p). Let d(v) = -13*v - 1. What is b(d(q))?
-169*q**2 - 26*q - 1
Let v(a) = 39*a. Let g(p) = -p**2 + 16*p**2 - 8*p**2 - 9*p**2. Give g(v(u)).
-3042*u**2
Let y(n) = 4*n. Let i(a) = -a. Let j(r) = -4*i(r) + 3*y(r). Let p(q) = 27*q. Calculate p(j(u)).
432*u
Let v(m) = 411*m. Let x(f) = 397*f. Calculate v(x(s)).
163167*s
Let d(r) = -2*r**2 - 3*r - 1. Let y(u) = 27*u. Determine d(y(k)).
-1458*k**2 - 81*k - 1
Let c(a) = -2*a. Let g be ((-3)/((-12)/20))/(5 + -6). Let z(j) = 21*j + 10. Let u(v) = -v + 2. Let n(o) = g*u(o) + z(o). What is n(c(h))?
-52*h
Let a(x) = 2*x. Let d(r) be the third derivative of 0 + 11*r**2 + 1/60*r**5 + 0*r + 0*r**4 + 0*r**3. Give d(a(c)).
4*c**2
Let o(l) = 2*l**2. Let x(s) be the second derivative of -s**4/12 - s**3/6 - 5*s. Let w(j) = 6*j**2 + 4*j. Let c(u) = w(u) + 4*x(u). Determine c(o(v)).
8*v**4
Let m(q) = q**2 + 36. Let y(g) be the third derivative of -g**5/30 + 58*g**2. Calculate m(y(w)).
4*w**4 + 36
Let i(s) = -s. Let v(t) be the first derivative of -268*t**3/3 + 74. Calculate i(v(h)).
268*h**2
Let v(f) = -40*f. Let k(n) = 42*n**2 - 2*n. Calculate v(k(c)).
-1680*c**2 + 80*c
Let i(n) be the second derivative of 0*n**2 + n + 0 + 1/2*n**3. Let u(m) = 3*m + 3. Let y(s) = -16*s - 15. Let b(j) = 5*u(j) + y(j). What is b(i(a))?
-3*a
Let q(w) = 39*w**2 - 18*w. Let k(y) = 11*y**2 - 5*y. Let n(f) = 18*k(f) - 5*q(f). Let o(s) be the third derivative of 5*s**4/12 - 5*s**2 + 3. What is n(o(i))?
300*i**2
Let d(i) = -5*i. Let a(j) = -5 + 5*j - 8 - 8 + 21. Determine a(d(m)).
-25*m
Let | {
"pile_set_name": "DM Mathematics"
} |
**3
Collect the terms in 2329 - 2329 + 4*v - 4*v + 39*v**2.
39*v**2
Collect the terms in -3154056*t + 0 + 0 + 1577011*t + 1577044*t.
-t
Collect the terms in -88 - 90 - 93 - 94 + 365 - 3*z.
-3*z
Collect the terms in 333*n**3 - 224*n + 449*n - 225*n.
333*n**3
Collect the terms in 243*a - 70*a**3 - 243*a - 48*a**3.
-118*a**3
Collect the terms in -13 - 6 + 6 + 278*u.
278*u - 13
Collect the terms in 2 + 182993*c - 182456*c + 2 - 4.
537*c
Collect the terms in 22 - 15 - 9 + 0 + 24*b - 66*b.
-42*b - 2
Collect the terms in -69*x**2 + 324*x**2 + 43*x**2 + 202*x**2.
500*x**2
Collect the terms in -210*l - 215*l - 206*l - 6*l**2 + 631*l.
-6*l**2
Collect the terms in -747*j + 236*j + 274*j + 10*j**3 + 237*j.
10*j**3
Collect the terms in 47*m**2 + 44*m**2 - 2700 + 1348 + 1352 - 80*m**2.
11*m**2
Collect the terms in -k + 80912*k**3 + 9*k - 8*k.
80912*k**3
Collect the terms in 15*r - 1 + 6*r - 3*r - 8 - 5*r.
13*r - 9
Collect the terms in -1537*i + 123*i**2 - 124*i**2 + 1323*i.
-i**2 - 214*i
Collect the terms in 152*z**2 - 35*z**2 - 28*z**2 - 34*z**2 - 29*z**2 - 28*z**2.
-2*z**2
Collect the terms in -7760 + 2586 + 2586 + 2584 - 3*w.
-3*w - 4
Collect the terms in -164*y - 146*y + 324*y.
14*y
Collect the terms in 19*b**2 + 24 - 22*b**3 - 34 - 19*b**2.
-22*b**3 - 10
Collect the terms in -8003279 - 4*k**2 + 8003279 + 4*k**2 + 2*k**2.
2*k**2
Collect the terms in 25 + 3 + 14 + 38 + 2*s**3.
2*s**3 + 80
Collect the terms in 3 + 2 + 2*k - 2 - 4.
2*k - 1
Collect the terms in -22*p**3 + 24*p**3 + p**2 - 8*p**3 - p**2 + 13*p**3.
7*p**3
Collect the terms in -294851907*k + 5 - 5 - 4*k**2 + 294851907*k.
-4*k**2
Collect the terms in 73352276*m - 73352276*m + 2*m**2.
2*m**2
Collect the terms in 0*m + 249563 + 8*m**3 - 249563 + 0*m.
8*m**3
Collect the terms in -3402338 + 3402338 + 4*s.
4*s
Collect the terms in -47*h**3 + 260*h - 260*h.
-47*h**3
Collect the terms in 66*o**3 + 16*o**3 + 23*o**3 - 130*o**3 + 23*o**3.
-2*o**3
Collect the terms in 261 - 31*y - 261 - 39*y + 78*y.
8*y
Collect the terms in 474*k + 481*k - 1895*k + 467*k + 476*k.
3*k
Collect the terms in -12529*m - 12547*m - 12542*m + 37634*m.
16*m
Collect the terms in 596*v - 2590*v - 1 + 0.
-1994*v - 1
Collect the terms in 3575*m - 252*m + 574*m.
3897*m
Collect the terms in -29*p**3 + 12*p**3 + 5*p**3.
-12*p**3
Collect the terms in 6*z**3 + 49 + 5*z**2 + 18 - 5*z**2.
6*z**3 + 67
Collect the terms in 366*p**3 - 470*p**3 + 100*p**3.
-4*p**3
Collect the terms in 12*k**2 - 13*k + 0*k - 13*k**2 + 13*k.
-k**2
Collect the terms in -49*u - 62 + 244 - 68 - 114.
-49*u
Collect the terms in 24*c - 27*c - 2 - 11*c + 2.
-14*c
Collect the terms in 17 - 50 + 21 + 3254*d + 12.
3254*d
Collect the terms in -2*x**2 - 24276*x - 24290*x - 24279*x + 72845*x.
-2*x**2
Collect the terms in -3*k + 9222*k**2 - k + 87*k**3 - 9222*k**2.
87*k**3 - 4*k
Collect the terms in 1 - 26*g + 118 - 121 + 2.
-26*g
Collect the terms in 795*c - 379*c - 394*c.
22*c
Collect the terms in 14242*d**2 + 206*d + 183*d - 14241*d**2.
d**2 + 389*d
Collect the terms in -15*r - 13*r + 62*r - 8*r - 23*r.
3*r
Collect the terms in -w**3 + 1 + 10*w**2 + w**2 + w**2 - 17*w**2.
-w**3 - 5*w**2 + 1
Collect the terms in 3*b**2 - 68*b + 12*b + 5*b + b + 50*b.
3*b**2
Collect the terms in -1 + 105*k**2 + 116*k**2 + 2 + 0.
221*k**2 + 1
Collect the terms in -60*r**2 + r + 293*r**2 + 16*r**2.
249*r**2 + r
Collect the terms in 2816*v - 1411*v + 0 - 9 + 13 - 1403*v.
2*v + 4
Collect the terms in 769*r**2 - 5435*r**3 - 769*r**2.
-5435*r**3
Collect the terms in 783*z + 1907*z - 564*z.
2126*z
Collect the terms in 2*b - 8*b**3 + 2*b + 215 - 215.
-8*b**3 + 4*b
Collect the terms in 21 + 13*f**2 - 5*f**2 + 4*f - 21 - 12*f**2.
-4*f**2 + 4*f
Collect the terms in 19 - 14*f**2 - 25*f - 19 + 12*f - 18*f**2.
-32*f**2 - 13*f
Collect the terms in 125356*o**3 - 62663*o**3 - 62679*o**3.
14*o**3
Collect the terms in 5*b**3 + 3*b**3 - 28*b**3 + 17*b**3.
-3*b**3
Collect the terms in -g**3 - 20*g**2 - 2*g**2 + 8*g + g.
-g**3 - 22*g**2 + 9*g
Collect the terms in 149 + 7458*h + 7455*h - 149 - 14915*h.
-2*h
Collect the terms in -10 + 12 + 12 - 14*h**2 - 18.
-14*h**2 - 4
Collect the terms in 254*c**2 + 231*c**2 - 6*c**3 - 464*c**2.
-6*c**3 + 21*c**2
Collect the terms in -168603*t + 84302*t + 84301*t + 33 - t**3 + 0*t**3.
-t**3 + 33
Collect the terms in 5038 - 198*n**2 + 5*n**2 - 5040.
-193*n**2 - 2
Collect the terms in -1969 + 979 + 997 - 52*i.
-52*i + 7
Collect the terms in -33*i - 9 - 25*i + 14*i + 9.
-44*i
Collect the terms in 1 - 138*m**3 + 5*m**2 + 6*m**2 - 11*m**2.
-138*m**3 + 1
Collect the terms in -32*p**3 + 8*p**3 + 10*p**3 - 3*p**3.
-17*p**3
Collect the terms in 118*w - 33*w**2 - 118*w + 59.
-33*w**2 + 59
Collect the terms in -50*i**2 - 311*i**3 - 312*i**3 + 640*i**3 + 50*i**2.
17*i**3
Collect the terms in -174*i**3 - 168*i**3 + 513*i**3 - 170*i**3.
i**3
Collect the terms in 186 - 252 + 66 - 8*s - 9*s**2.
-9*s**2 - 8*s
Collect the terms in 49*w**3 - 7*w**2 - 190*w**3 + 5*w**2 + 6*w**2.
-141*w**3 + 4*w**2
Collect the terms in 2291 + 2299 - 55*y - 4590 - 19*y.
-74*y
Collect the terms in -y**2 - 28035*y + 4*y**2 + 56119*y - 28084*y.
3*y**2
Collect the terms in 764*a - 389*a - 354*a.
21*a
Collect the terms in -50 - 614*t**3 + 601*t**3 + 50.
-13*t**3
Collect the terms in -956 - 6*u**2 + 956.
-6*u**2
Collect the terms in 46964*j + 46950*j - 93911*j.
3*j
Collect the terms in 36*f**3 - 4*f**3 + 31*f**3 - 3*f**3.
60*f**3
Collect the terms in -86*n - 736*n - 33 + 33.
-822*n
Collect the terms in 825*s**3 - 16981*s + 16981*s + 765*s**3.
1590*s**3
Collect the terms in 53 - 5*w + 94*w**3 - 53.
94*w**3 - 5*w
Collect the terms in -42*w**3 - 326 - 333 + 1013 - 353.
-42*w**3 + 1
Collect the terms in 14*m**3 + 3 - 2 - 3 + 7*m**3 - 11*m**2.
21*m**3 - 11*m**2 - 2
Collect the terms in -2 - 3 - 255*n - 277*n.
-532*n - 5
Collect the terms in -n + 842*n**2 - 135 - n - 144.
842*n**2 - 2*n - 279
Collect the terms in -240*a**2 + 127*a**2 + 1 - 1 + 123*a**2.
10*a**2
Collect the terms in 329803 - 329803 - 2*n.
-2*n
Collect the terms in 8*f**2 + 9*f**2 + f**2.
18*f**2
Collect the terms in -10*a + a + 16*a + 0*a.
7*a
Collect the terms in 225*i - 108*i + 1630*i + 390*i.
2137*i
Collect the terms in -16*c - 905*c**3 + 16*c + 959*c**3.
54*c**3
Collect the terms in -4*t + 3312 + 2*t + 0*t.
-2*t + 3312
Collect the terms in -375081 + 375081 + 3*z.
3*z
Collect the terms in -15480*q - 586*q - 8237*q.
-24303*q
Collect the terms in 41*f - 13*f - 52 + 69*f.
97*f - 52
Collect the terms in -6*h**3 - 76 - 51*h + 4*h**3 + 0*h**3 + h**3.
-h**3 - 51*h - 76
Collect the terms in -3562273 + 5*z + 3562273.
5*z
Collect the terms in 29*n**3 - 22*n + 29*n + 8*n**3 - 14*n.
37*n**3 - 7*n
Collect the terms in -2*r - 4*r + 82633 - 82633.
-6*r
Collect the terms in 484*n + 6*n**2 - 189*n - 8*n**2.
-2*n**2 + 295*n
Collect the terms in -126*d + 129*d - 5*d.
-2*d
Collect the terms in 1163*j + 1180*j - 1011*j + 806*j.
2138*j
Collect the terms in 3*s - 3*s + 97228 + s.
s + 97228
Collect the terms in 650 - 17*g**2 - 323 - 326.
-17*g**2 + 1
Collect the terms in 1 - 63*t**2 + 121*t**2 + 0*t**2 - 3*t**2.
55*t**2 + 1
Collect the terms in 53 + 2289*z**3 - 62 + 1696*z**3.
3985*z**3 - 9
Collect the terms in -220*h**3 + 15*h**3 + 202*h**3.
-3*h**3
Collect the terms in -832 - y**2 + 17*y**3 + 832.
17*y**3 - y**2
Collect the terms in 10*t**2 + 3*t**2 - 8*t + 11*t**2.
24*t**2 - 8*t
Collect the terms in -15*o**3 + 294 + 316 - 610.
-15*o**3
Collect the terms in -323*b**3 + 72*b**3 - 76*b**3.
-327*b**3
Collect the terms in -412*r**3 + 601*r**3 + 519*r**3 + 360*r**3.
1068*r**3
Collect the terms in 53*a**2 - 541*a**2 - 41*a**2.
-529*a**2
Collect the terms in -94*l + 182*l + 4*l**2 + 0*l**2 - 88*l.
4*l**2
Collect the terms in -70*g - 19*g**3 - 141*g**3 + 70*g.
-160*g**3
Collect the terms in -86*v**2 - 81*v**2 - 3162 - 80*v**2 + 245*v**2.
-2*v**2 - 3162
Collect the terms in -12946*u - 12997*u + 25945*u.
2*u
Collect the terms in -2*m - m + 19187*m**2 + 3*m.
19187*m**2
Collect the terms in 10*d + 6*d + 21 - 15 - 13.
16*d - 7
Collect the terms in 36 + 36 - 12*k - 83 + 12.
-12*k + 1
Collect the terms in 3*m - 32*m**3 + 8*m + 166*m**3 - 11*m.
134*m**3
Collect the terms in 36*t + 3*t + 15*t.
54*t
Collect the terms in 37*b**2 + 61 - 15*b**2 - 9.
22*b**2 + 52
Collect the terms in -99 + 196 - 10 | {
"pile_set_name": "DM Mathematics"
} |
3468 = 211*t + 10738 + 1250 for t.
-46
Solve 2955 = -756*l - 1192 + 367 for l.
-5
Solve 10139 - 4081 = -932*b - 12582 for b.
-20
Solve 0 = -47*h - 1639 - 3531 for h.
-110
Solve 5153*i = -5222*i + 10597*i - 7104 for i.
32
Solve 0 = 89*f + 540*f - 53214 + 40634 for f.
20
Solve -582*z + 11015 = -1441*z - 1344*z for z.
-5
Solve -167757 + 236793 = -8199*u - 695535 - 47130 for u.
-99
Solve 0 = -129318*z + 129116*z - 404 for z.
-2
Solve -84*t = -1610*t - 19057 - 9084 - 29847 for t.
-38
Solve 1447*o + 1317*o + 234940 = 0 for o.
-85
Solve 311*r + 38*r = -177*r + 25774 for r.
49
Solve -89*h + 18727 - 66599 = -793*h for h.
68
Solve -3 + 199 = -58*f - 442 for f.
-11
Solve 6111*m - 1978*m + 1369*m = -6177*m - 490518 for m.
-42
Solve -212*u - 7964 + 2460 = -25*u + 15440 for u.
-112
Solve 19*o + 35385791 = 35386133 for o.
18
Solve -687*r - 1144*r = -234*r + 20100 - 64816 for r.
28
Solve 1011*b + 81*b + 14938 = -266*b for b.
-11
Solve 10084*m - 9989*m = -1045 for m.
-11
Solve 0 = 4390*j + 4414*j - 8732*j + 1296 for j.
-18
Solve -2173 = -22*l + 471 - 466 for l.
99
Solve 223*j + 1584787 = 1600620 for j.
71
Solve -2934*d - 230153 - 241969 = -169920 for d.
-103
Solve -300 - 4100 = 38*m + 6*m for m.
-100
Solve 17648 + 3937 = 699*c - 34807 - 14207 for c.
101
Solve -1023 + 657 - 2200 = -346*p + 202 for p.
8
Solve 3533*x - 412610 = -1489*x + 1612*x for x.
121
Solve -51*b = -2429 + 593 for b.
36
Solve -939*o - 2208*o + 333582 = 0 for o.
106
Solve -149*f = 82*f - 143*f + 616 for f.
-7
Solve -58*s - 319 + 1664 = -1840 + 169 for s.
52
Solve 12231*f + 9860 = 11245*f for f.
-10
Solve 308*d + 127*d = -109*d - 48*d - 74000 for d.
-125
Solve 17982*g - 80340 = 16643*g for g.
60
Solve 942 = 73*k - 1978 for k.
40
Solve 388483*f - 1607 = 388507*f - 3959 for f.
98
Solve 7732*r - 6998*r = -32296 for r.
-44
Solve -52*i - 608061 = -608529 for i.
9
Solve 341*h + 277*h = -53*h - 27794 + 5651 for h.
-33
Solve 29 + 135 = 322*z - 158 for z.
1
Solve 782*v = 517*v + 7155 for v.
27
Solve 238*u = -239*u + 741*u - 225*u + 1131 for u.
-29
Solve -41111 - 77465 = -2262*x + 170960 for x.
128
Solve -71*i - 9657 = 420*i - 158*i for i.
-29
Solve 977*z + 532283 - 567455 = 0 for z.
36
Solve 9452*f = -1139*f - 328321 for f.
-31
Solve -2040 = -842906*v + 842872*v for v.
60
Solve 180632 = -2700*d - 3955*d - 371733 for d.
-83
Solve -7397*h + 315*h = -162280 - 54920 - 151064 for h.
52
Solve -320 = -538*p + 518*p for p.
16
Solve 0 = -368367*u + 367928*u + 16243 for u.
37
Solve 879*o + 872*o - 4080 = 1831*o for o.
-51
Solve 56*g - 1684 = -473 - 153 + 1182 for g.
40
Solve -588*a - 273447 = -4551*a for a.
69
Solve -58*q - 11148 = -1470*q - 169*q - 277*q for q.
6
Solve -224*x = -672 + 123 + 3909 for x.
-15
Solve 40249*p + 2760 = 40341*p for p.
30
Solve 0 = -55*r - 6*r + 4025 - 853 for r.
52
Solve 24*a = 12106 - 11098 for a.
42
Solve -1683*f - 182*f = -76*f - 76927 for f.
43
Solve -319*k - 20610 - 7391 + 6434 = 4910 for k.
-83
Solve 557*z + 1301 - 11880 = -201*z + 25047 for z.
47
Solve 914 - 2589 = -257*k + 6292 for k.
31
Solve -18553*f + 6752 = -18817*f - 2752 for f.
-36
Solve 7476338*i - 7476392*i = -648 for i.
12
Solve 2476 - 3396 = -87*k + 3082 for k.
46
Solve 4193*b + 1254*b + 141622 = 0 for b.
-26
Solve -27*f + 70 = 64*f + 5985 for f.
-65
Solve 162394 + 74777 = 7187*g for g.
33
Solve -1632*v + 57098 = 14666 for v.
26
Solve -4643*y = 36019 + 10919 + 8778 for y.
-12
Solve 400*h = -3558 - 17129 + 4287 for h.
-41
Solve 973*l - 9080 = -55784 for l.
-48
Solve -2316*k + 5040 = -2204*k for k.
45
Solve 1414*m + 667*m - 965*m = -1568*m + 171776 for m.
64
Solve 482674*q + 160 = 482634*q for q.
-4
Solve -1531*g - 2795*g = 2420*g - 821*g + 242925 for g.
-41
Solve -3941*g - 5290*g - 956366 = -293*g for g.
-107
Solve -30888 = -1785*b - 826 + 84178 for b.
64
Solve -56074 = 55257*j - 54038*j for j.
-46
Solve -20386*v = 1370630 - 188242 for v.
-58
Solve -17*y - 2*y = 2539 - 6124 + 3091 for y.
26
Solve -12*w - 792 - 424 = 45*w + 7*w for w.
-19
Solve 0 = -2018*i - 70148 - 16626 for i.
-43
Solve -1268 - 2137 = 208*y + 4519 - 1268 for y.
-32
Solve -1587*a - 10620 = -1335*a - 2304 for a.
-33
Solve -4555*k - 159375 - 212291 + 73540 = 16169 for k.
-69
Solve -310*w + 178*w + 1995 = -189*w for w.
-35
Solve -4428 + 4876 = -227*h - 4930 - 5291 for h.
-47
Solve 75*z + 917 + 737 + 656 + 2790 = 0 for z.
-68
Solve 247*y = -671*y + 11016 for y.
12
Solve -63*q - 196*q + 5659 - 14329 = 10496 for q.
-74
Solve 2286*h - 3496 - 7092 = -1444 for h.
4
Solve 278*y - 8017 + 10319 + 17571 + 12097 = 0 for y.
-115
Solve 0 = 141590*m - 141651*m - 2684 for m.
-44
Solve 0 = 1068*u - 265*u + 15257 for u.
-19
Solve -170*k = -3907*k - 159337 - 49935 for k.
-56
Solve 4191818*s + 917 = 4191949*s for s.
7
Solve -665*h - 121*h - 1753*h - 21711 = 46842 for h.
-27
Solve -891*j - 34541 - 16108 = -108*j + 12774 for j.
-81
Solve 0 = 530*q - 668*q + 16998 - 2094 for q.
108
Solve -320*z - 38412 = 224*z + 38*z for z.
-66
Solve 138*v - 471 = -7668 + 2529 - 4164 for v.
-64
Solve 64723 = -196*v + 49827 for v.
-76
Solve -45*p - 949426 = -951136 for p.
38
Solve 192*s + 81 = 339*s - 144*s for s.
27
Solve -21*w - 18*w - 9*w + 126 = -62*w for w.
-9
Solve -1329*i + 2285 + 29611 = 0 for i.
24
Solve 8987 + 2191 = 130*c + 77*c for c.
54
Solve 167*n + 1936 = 460 - 695 for n.
-13
Solve 256 = 17*z + 212 - 721 for z.
45
Solve 252*g - 9303 = -289*g + 15042 for g.
45
Solve -26*j - 6781 = 115*j + 23*j + 2567 for j.
-57
Solve -83*f + 5402 = 339 for f.
61
Solve 1034*v - 67896 = -1918*v for v.
23
Solve -437710*n + 437661*n + 294 = 0 for n.
6
Solve 54978*p - 54951*p = -162 for p.
-6
Solve -829*f + 721 - 42260 = -7565 + 10792 for f.
-54
Solve -4305 = 1008*s + 18600 + 3908 - 1613 for s.
-25
Solve 4687 + 5181 = -670*f + 428 - 4630 for f.
-21
Solve -1383*n + 202800 = 2842*n for n.
48
Solve 49201*t + 49197*t = 98430*t - 864 for t.
27
Solve -1669*y = 843 + 25861 for y.
-16
Solve -89*t - 120*t - 1552 = 3464 for t.
-24
Solve 31419*n = 62794*n - 31527*n + 1520 for n.
10
Solve -740*g + 598*g - 328 = 240 for g.
-4
Solve 0 = -59*g + 224*g + 613 + 47 for g.
-4
Solve 15446*t - 15553*t = -2022 - 867 for t.
27
Solve 3247*r + 30650 + 15416 - 13066 = 3907*r for r.
50
Solve 622 = 4336*u - 4384*u - 1394 for u.
-42
Solve -61100*s + 194404 = -59266*s for s.
106
Solve -57*l - 142*l - 84*l - 106*l = -12837 for l.
33
Solve 0 = -69*b - 119*b + 153*b - 99 - 41 for b.
-4
Solve 1565*t - 25863 = -82203 for t.
-36
Solve -55 + 958 = 26*h - 453 + 134 for h.
47
Solve -17292*d + 94590 = -1440*d - 30547 - 1679 for d.
8
Solve -49*k + 468 = -5*k - 83*k for k.
-12
Solve -142162 = 4449*t + 49145 for t.
-43
Solve 973*o - 5802 + 16486 = -14179 + 1511 for o.
-24
Solve 0 = -h - 8*h + 23 - 27 + 67 for h.
7
Solve 988*n - 21601 - 7051 = 0 for n.
29
Solve 12204*q - 4455 = 12039*q for q.
27
Solve 539 = -167*o + 1570 + 258 + 1216 for o.
15
Solve -757*s - 49*s - 955 + 3395 = -6426 for s.
11
Solve -2781*o - 102548 = -36706 + 28712 for o.
-34
Solve -871*l = -1157*l - 1074*l + 174080 for l.
128
Solve -2825 - 2575 = 360*v for v.
-15
Solve -35019*a + 35265*a = -16974 for a.
-69
Solve 0 = -3094*p - 13001*p + 1738260 for p.
108
Solve -705*t - 114232 = 1096*t - 15177 for t.
-55
Solve 1357 + 411 = 884*p for p.
2
Solve 13250 = -362*m - 2678 for m.
-44
Solve 8619*j - 4926*j - 435514 + 84679 = 0 for j.
95
Solve 5512 = -90*b - 3034 - 3157 + 1893 for b.
-109
Solve -502401*d = -502464*d - 441 for d.
-7
Solve -53282 - 125357 = 1631*p + 2465*p - 27087 for p.
-37
Solve 155139 = 3364*w + 34035 for w.
36
Solve -26058 = -2976*u + 2370*u for u.
43
Solve -32293 - 17335 = -653*y for y.
76
Solve 0 = -166*x + 13*x - 621*x + 23220 for x.
30
Solve 28740*y - 31127*y = 226765 for y.
-95
Solve 1273*w - 48032 = -509*w + 185*w + 22236 for w.
44
Solve 0 = -77*w + 919 + 1006 for w.
25
Solve 2904 = -848*y - 554*y + 1358*y for y.
-66
Solve -1281 = 176*b - 864 + 2047 for b.
-14
Solve 198*m + 4297 - 13207 = 0 for m.
45
Solve 558*d - 185*d - 14630 = -397*d for d.
19
Solve -4768*i = -1836*i + 134872 for i.
-46
Solve 715 = 48*k - 1569 - 1246 + 362 for k.
66
Solve -2048*l - 15620 = 644*l + 13992 for l.
-11
Solve -6977*r = -7195*r + 4796 for r.
22
Solve 6397*k = 4522 + 8272 for k.
2
Solve -30*g + 126 = -233 - 36 - 265 for g.
22
Solve -6741*w - 559 = -13492*w + 6708*w for w.
13
Solv | {
"pile_set_name": "DM Mathematics"
} |
(11/4)*((l*l*l/(l/(l*l**9*l)))/(l*l**1))/(l**(-1))**(-3/23) assuming l is positive.
l**(-10481/828)
Simplify ((((f*f**(-9)*f)/f)/(f/(f/f**(1/6))))/(f**(2/63)/(f/f**(-1/4))))**(-27) assuming f is positive.
f**(5253/28)
Simplify (q/(q*q**4)*q**(1/4))/(q**(2/5)*q/(q/(q*q*q*q**0*q)))*((q**(-1))**(11/2))**(6/7) assuming q is positive.
q**(-1801/140)
Simplify (c**(5/6)/c)**(-5/4)*(c**11)**(-1/20) assuming c is positive.
c**(-41/120)
Simplify (s*s**(-2/25)*s*s**(-1/10)*s*s**(-18/11)*s*s*s*s*s**13*s*s)**(-2/27) assuming s is positive.
s**(-11101/7425)
Simplify ((x**22/x)/(x*x**(-27)))/((x/(x*x**(2/51)*x))/(x**(1/68)/x)) assuming x is positive.
x**(9599/204)
Simplify ((((a**(-2/9)/a)/(a**(-3)/a*a))/(a/(a**(-3)*a))**2)**(16/7))**(2/7) assuming a is positive.
a**(-1216/441)
Simplify (c**6/((c/(c/c**(4/7)))/c)*(c**0)**(-42/13))/(c**(-12)*c*c*c*(((c/(c/c**(-8))*c)/c)/c)/c*c)**(-5) assuming c is positive.
c**(-585/7)
Simplify (m*m**(-20/7)*m)/(m*m**(-38))*(m/m**23)**43 assuming m is positive.
m**(-6369/7)
Simplify ((k/k**(-1))**(-21/5))**(2/7)*((k/k**(-1))/k**(-3/5))**(-2) assuming k is positive.
k**(-38/5)
Simplify ((i**2/i)**(-35))**(2/97)*(((i*i*i**(2/33))/i)/i**(3/7))**(-1/5) assuming i is positive.
i**(-95012/112035)
Simplify (j*j*(((j**10/j)/j)/j)/j*j*j*j*j**7*j)**25/(((j*j**(-1/2)*j*j*j)/(j**(-3)*j))/(j**(3/8)/j**(-5/2))) assuming j is positive.
j**(3779/8)
Simplify (((l*l**(2/3))/l)/l*l/(l/(l**(2/3)*l))*(l/((l**(1/3)*l)/l))**(-1))/((l**(-1))**41/(l**1*l*l/l**(2/19))) assuming l is positive.
l**(2540/57)
Simplify ((i*(i/(i*i**(-1/3)))/i)**(9/5)/((i*i**(-12)/i)/(i/(i*i**(-2/13)*i))))**(3/13) assuming i is positive.
i**(2292/845)
Simplify (m**(-1/2)*m)**(-24)/(m**(-2/7)/m*(m/(m/m**(-7)))/m)*(m*m**(-2/3)/m)**(10/7)*(m**(1/3)/m*m)/(m/(m/(m**(-2/7)*m))) assuming m is positive.
m**(-85/21)
Simplify ((z/z**6*z**12)/((z**(-4/7)/z)/z**(-1)))**(31/3) assuming z is positive.
z**(1643/21)
Simplify (((c/(c**(1/5)/c))/c*c**(-11)*(c*c*c**(2/49))/(c*c*c*c*c**(-1)))**(-20))**49 assuming c is positive.
c**10936
Simplify ((m*(m**0*m*m)/m*m*m)/(m**(-2/3)*m))/((m**5/m)/((m*m**6*m)/m))*(m*m*m/m**(-1/2)*m)**(-1)*(m**(-1/4))**(1/3) assuming m is positive.
m**(25/12)
Simplify (((g*g**(-1/5)*g)/g*(g/g**(-5))/g)/(g*g**1*g*g)**(-18))/(g*g/(g*g**(1/4)*g)*g*(g/(g/g**(2/3))*g)/g)**41 assuming g is positive.
g**(1183/60)
Simplify ((i**(4/13)*i*i**6)/((i*i/i**(14/5))/i*i*i**(-5/9)*i))**(3/35) assuming i is positive.
i**(4483/6825)
Simplify (a/a**(1/7)*a**1)**(-2/83)*(a**6*(a*a**(-2/15))/a)**(1/2) assuming a is positive.
a**(25174/8715)
Simplify (h**(2/11)*h**(1/2))**(-15)/((h*(h**(1/12)*h)/h*h*h)/(h/(h/h**(-4))))**(-22) assuming h is positive.
h**(4805/33)
Simplify (y/((y*y**(1/18))/y)*y**(-3/7)*(y**(-5/6))**(18/7))**(-21) assuming y is positive.
y**(205/6)
Simplify (((u/(u/u**(-4)))/u)**19*((((u*u**(-2)*u)/u)/u)/u)**(-43))**(2/127) assuming u is positive.
u**(68/127)
Simplify (((i**4*i)/i**(1/13))/((i**2*i)/i)**(-9))/(((i/(i*(i*(i/i**4)/i)/i))/i)**(-22/3))**(2/17) assuming i is positive.
i**(5638/221)
Simplify ((w**(-34)*w**(1/17))/((w*w/w**(2/39))/w*w*w**(3/4)))**(-50) assuming w is positive.
w**(2429225/1326)
Simplify (h**(1/6)/(h/(h*h**(-26)))*(h**(-3/8))**39)**14 assuming h is positive.
h**(-6797/12)
Simplify ((r/(r/(r**(-12)*r)))/(r*(r*r*r**(2/11))/r))**(-24)*(r**(-8)*r**(-2/13)/r)/(r/r**(-2))**(-1/7) assuming r is positive.
r**(307946/1001)
Simplify ((m**(3/5))**36/(m**5/m)**(1/36))**(-21) assuming m is positive.
m**(-6769/15)
Simplify ((((g**(-1)*g)/g)/g)**(-17))**(-13)*g**(4/5)*g**(-3)*g*g**(-5)*(g**(-1/9)/g)/g assuming g is positive.
g**(-20264/45)
Simplify ((w*w**2)**(2/79)/(w*w**(-18)*w/(w*w**(-1/9)/w)))**35 assuming w is positive.
w**(397285/711)
Simplify ((w**(-5)*w*w*w**(-13))/(w/(w*w*w**10/w)*w**(-7)))**(-5) assuming w is positive.
w**(-5)
Simplify (((f**(2/5)*f)/f)/((f/(f*f**(-4)))/f)*(f**(-1)*f)**(-1/51))/(((f**(2/5)*f)/f)**(-2/3)/(f**1*(f/(f*f**(-6))*f)/f)) assuming f is positive.
f**(14/3)
Simplify ((u/(u/(u/(u/u**(2/25))))*u)**(-10)/(u/(u**(-1)*u))**34)**(-3) assuming u is positive.
u**(672/5)
Simplify ((((j*j/j**(2/9)*j)/j)/j**(-7/4))/((j*j**(4/9))/j*j*(j**(-2/19)/j)/j))**(-22/3) assuming j is positive.
j**(-10505/342)
Simplify ((h*h/((h**(2/63)/h)/h)*h**(-36))**3)**18 assuming h is positive.
h**(-12108/7)
Simplify (l**(2/39)/(l*l**(-5)))**30/((l**(-2/7)/l*l)/l*l**(1/7))**(4/7) assuming l is positive.
l**(77836/637)
Simplify ((u**4*((u/(u*u**(-2/3)/u*u))/u*u)/u*u)/((u**7*u)/u**(-2/7)))/((u*u**(-1)*u)**30*u**(-6)*u**(-9)) assuming u is positive.
u**(-391/21)
Simplify ((o*o**(-2/5))/(o**(-7)*o))/(o**6/o**5)*((o*o**7/o)/o**(-2))**(-11/4) assuming o is positive.
o**(-383/20)
Simplify (g*g**(2/23)*g*g/g**(-11))**(-48)*(g/g**(-2/5))**(-45)/((g*g/g**(-2/19)*g)/(((g**(-6)*g)/g)/g)) assuming g is positive.
g**(-327435/437)
Simplify ((r**(1/4)*r**20)/(((((r/(r**(-14)/r))/r)/r)/r)/(((r/(r*r**15))/r)/r)))**(-12/5) assuming r is positive.
r**(117/5)
Simplify ((z*(z*z**9)/z)**(2/95)*z**20/(z**5*z*z))**(-9) assuming z is positive.
z**(-2259/19)
Simplify ((r**(1/3)/r)**3)**(-34)*(r**2*(r/r**(2/5))/r)/(r**(2/15)/r*r*r**(-7)) assuming r is positive.
r**(1147/15)
Simplify ((n**(3/4)*n)/(n/(n**(-2/7)*n)))**34*((n*n/n**(1/2))**(-6/11))**27 assuming n is positive.
n**(4265/154)
Simplify ((h**(-4)/h*h**21)/((h*h/(h/((h*h**21)/h*h*h)))/(h**48/h)))**33 assuming h is positive.
h**1287
Simplify ((q**0/q)/((q*q**(-1))/q))**8/((q/(q*q/(q**(-2/15)*q)*q))/((q/q**(-2/7))/q)*q**(3/5)*(q*q**(-1/3))/q*q) assuming q is positive.
q**(16/105)
Simplify ((r*r**(-1/4))**(12/7))**41*((r*(r**(-5)*r)/r*r)/(r*r*r/r**4*r))/((r/(r*r**(-1/3)))/r)**6 assuming r is positive.
r**(376/7)
Simplify ((s**(4/3))**(-5)*((s**24*s)/s)/s**(-1/5))**2 assuming s is positive.
s**(526/15)
Simplify (z**(12/5)/z)**34/(z**(2/95)/(z*z/((z*z**(-1/25))/z))) assuming z is positive.
z**(23569/475)
Simplify (v*v/(v**(-4/5)*v*v)*v/(v*v**(-1/15))*(v/v**(-14/9))/v*v**0)**(-2/7) assuming v is positive.
v**(-218/315)
Simplify (t**8/t*t*t**(-4)/t*(t*t*t**(2/7))/t**(-9))/(t*t*t**(4/3)*(t/t**(-2))/t*(t/(t*t*t*t**(-1)))**(-50)) assuming t is positive.
t**(-862/21)
Simplify ((h/(h/(h*h*h*h*h*h/((h*h**(-7))/h)*h*h))*h*(h*(((h*(h**27*h)/h)/h)/h)/h)/h*h)/(h**(-12/11))**(-39))**(3/10) assuming h is positive.
h**(-9/55)
Simplify ((x**(1/3))**(1/7)/(x/(x/x**(1/4)))**(-1/11))/(((((x**(-2)/x)/x*x*x)/x)/(x/x**4*x))/(x**(-2/3))**19) assuming x is positive.
x**(-10715/924)
Simplify ((h*h*h**(2/7)*h)/(h/h**(-7)))/(h**(5/2)/(h/((h*h/h**7)/h*h)))*(h/(((h/h**(-3))/h)/h)*h*h*h*h*h*h**9)**13 assuming h is positive.
h**(2349/14)
Simplify (s*s/s**(-2))/s**7*(((s/((s**(1/2)*s)/s))/s)/s)/(s*s/(s**(-2/3)/s)*s*s)*s/s**(4/3)*s*s/(s*s*s**(-2/19))*((s/s**0)/s)**(-50) assuming s is positive.
s**(-395/38)
Simplify ((f**7/((((f/(f*f**1))/f)/f)/f))/((f*f**(2/3)*f*f)/f*f)**(1/23))/(((f*f**4)/(f**7/f))/(f**(1/4))**(-4/23)) assuming f is positive.
f**(814/69)
Simplify ((((v*v**(13/2))/(v*v/v**(-19)))**(-31))**8)**48 assuming v is positive.
v**160704
Simplify ((c/(c**(-2/69)/c*c*c))/c*c/(c**(-3/19)/c)*(c*c**(-1))**14)**(12/5) assuming c is positive.
c**(6224/2185)
Simplify (a*a**(-1/30))**(-20)/((a/a**30)/(((((a**47*a)/a)/a*a)/a)/a)) assuming a is positive.
a**(164/3)
Simplify ((o**3)**(-2/69)/(o**(-10)*o**(1/10)))**(1/5) assuming o is positive.
o**(2257/1150)
Simplify (m*m**(-2/5))**(-2/15)/(m**(-1)*(m**7*m)/m)*m**(3/2)/m**(-5)*m**(-5/4)/m**(1/3) assuming m is positive.
m**(-349/300)
Simplify ((t*t/(t*t**(-2)*t)*t*t*t/((t*t**8)/t*t)*(t**(2/7))**43)**(-3/5))**40 assuming t is positive.
t**(-1392/7)
Simplify ((l/(l**(2/11)*l)*l)/(l/(l**(-3)*l)))/(l**(-2/15)/(l*l**(-9)*l*l))*(l*l*l/(l*l**(-5))*l*(l**6*l)/l)/(l**7/l*l**(1/5)) assuming l is positive.
l**(-41/165)
Simplify ((o/o**(1/3))**(-30)*(o**(-2))**(-6))/((o**(2/9)*o)/o**0*o**(2/17)/o**(-8)) assuming o is positive.
o**(-2653/153)
Simplify ((q**(3/7)/q**10)/(q**(-5/8)/((q*q**(4/5))/q)))**(9/2) assuming q is positive.
q**(-20529/560)
Simplify (((y/(y**(-1/3)*y))/(y/(y/((y/(y/(y*y**(1/7)*y*y)))/y))))/(y/(y/(y/(y*y*(y*y**1)/y)*y)))**(4/43))/(y**(3/8)*y**2)**(-17/4) assuming y is positive.
y**(242069/28896)
Simplify (p**4*p*p*p*p*p**(2/3))**(9/8)*(p**(-1/3))**(6/13)/((p/p**6)/(p*p*p*p**(2/7)/p)) assuming p is positive.
p**(6 | {
"pile_set_name": "DM Mathematics"
} |
h is smaller: -33.1 or -2/7?
-33.1
Which is smaller: 4 or 153?
4
Which is smaller: 418/5 or 84?
418/5
Is 1 bigger than 2/139?
True
Is 772 at most 769?
False
Which is smaller: -1/516 or 1?
-1/516
Which is smaller: 2792 or -1?
-1
Which is smaller: 1 or 95/986?
95/986
Which is bigger: 3190 or 3191?
3191
Which is smaller: -97 or -95?
-97
Which is smaller: 17 or 34?
17
Which is bigger: 0.1 or -31/2?
0.1
Which is smaller: -34/21 or 0?
-34/21
Which is smaller: -13870 or -13869?
-13870
Is 3/665 less than 0?
False
Which is greater: 25 or -57?
25
Which is bigger: 157 or 155?
157
Are -495 and -490 non-equal?
True
Is -3/2224 equal to -1?
False
Do 1 and -2/7199 have the same value?
False
Which is smaller: 1 or 493?
1
Are 8.7 and -2/5 unequal?
True
Is 17/1133 != 0?
True
Is 43 less than 3?
False
Is 4658 >= 4658?
True
Is 25 > -1/4?
True
Which is greater: -1421/4 or -356?
-1421/4
Is -3/88 less than 1?
True
Is -9 >= 4?
False
Is 0 less than or equal to 2/93?
True
Which is smaller: 43 or 54?
43
Which is smaller: -3/1687 or -1?
-1
Which is smaller: 1953/8 or 244?
244
Which is bigger: 5213 or 1?
5213
Do -248/19 and -13 have different values?
True
Which is greater: -813 or -814?
-813
Which is smaller: -1237 or -14?
-1237
Which is smaller: -226 or -677/3?
-226
Do 0 and 1/15781 have different values?
True
Which is smaller: 69 or 480/7?
480/7
Is -16173 at least -16175?
True
Is -130 < -3/5?
True
Is 486 <= 0.1?
False
Which is bigger: -0.1 or -2/61?
-2/61
Do 0.2 and 40 have different values?
True
Which is greater: 1 or 1/33?
1
Which is bigger: 7 or -36?
7
Which is greater: 7/2 or 59?
59
Which is bigger: -5/377 or 0?
0
Which is smaller: -2/12357 or -1?
-1
Is -315 greater than 5?
False
Which is greater: -1 or -2?
-1
Which is smaller: 1498 or 1497?
1497
Does 33/344 = -1?
False
Is -2/395 > 22?
False
Do -23/262 and -1 have the same value?
False
Are -153 and -149 non-equal?
True
Which is smaller: 0 or -10/437?
-10/437
Is -26592 greater than or equal to -26594?
True
Is -3493 bigger than -3494?
True
Is 27/541 > 0?
True
Is -9 bigger than -11?
True
Which is smaller: -56 or 1/4?
-56
Which is greater: 1510 or 1512?
1512
Which is smaller: 349 or 1/3?
1/3
Is 0 greater than or equal to -0.1817?
True
Which is smaller: -1 or -7/255?
-1
Which is greater: -5.5 or 3/8?
3/8
Is 34 bigger than 360/11?
True
Is -628 at most as big as -627?
True
Is 1 != 32/1113?
True
Which is bigger: 1 or 72/467?
1
Is -1/117 > -0.1?
True
Is 1301 > 1302?
False
Which is greater: -12 or -17?
-12
Is 325 less than 326?
True
Are -1/3 and 37 unequal?
True
Is -58 at least -56?
False
Is -1/1347 less than 1?
True
Which is bigger: 1549 or 1550?
1550
Which is smaller: 809 or 807?
807
Which is smaller: -1 or -4/43?
-1
Which is bigger: 367 or -8?
367
Which is bigger: -137 or 17/4?
17/4
Is 121 at least as big as 120?
True
Which is smaller: 14/23 or 4?
14/23
Which is bigger: -39 or -0.043?
-0.043
Which is smaller: 209 or 203?
203
Which is smaller: 9.08 or -0.2?
-0.2
Which is smaller: -294 or -256?
-294
Is -2/9 at most 83?
True
Which is smaller: 4 or -655?
-655
Which is smaller: 705 or 702?
702
Is -7750/7 > -1107?
False
Is 78 less than -0.3?
False
Which is bigger: 0.2 or 15?
15
Is -0.84 bigger than -2?
True
Does -78703/3 = -26234?
False
Is -186 < -187?
False
Is 2 at least as big as 2.25?
False
Which is smaller: -264 or -268?
-268
Which is smaller: -2 or -68/21?
-68/21
Do -2 and -96/91 have different values?
True
Is 231 at most 231?
True
Which is smaller: -610 or 1?
-610
Is -2.95 less than -7?
False
Is 1 < -58/51?
False
Is -23 at least -21?
False
Is -249 < -1246/5?
False
Is 983/2 <= -13?
False
Which is greater: -55/138 or 0?
0
Which is bigger: -2/25 or 6?
6
Which is greater: 1 or -57/2035?
1
Is -0.0092 greater than -2?
True
Is 1 > 2/18785?
True
Are -4671 and -4670 non-equal?
True
Which is smaller: -2.5 or -217?
-217
Which is bigger: 0 or 74/69?
74/69
Which is smaller: 1412 or 1411?
1411
Is -6 >= -119/24?
False
Which is greater: -70 or 35?
35
Is -227/65 greater than -3?
False
Which is bigger: 1 or 542?
542
Which is smaller: 157 or 68?
68
Is 36 < 1/5?
False
Is 2/2135 less than or equal to 0?
False
Is 43/196 equal to -1?
False
Is 14 > -2/7?
True
Which is greater: 2 or -19?
2
Which is bigger: 5809 or 0.2?
5809
Is 1/4 less than -164?
False
Is -1/4388 smaller than 1?
True
Is 806 >= 0.1?
True
Is -110 > -2508/23?
False
Which is smaller: 8 or 14?
8
Is 5/361 less than 1?
True
Does 1/2 = -1695?
False
Which is bigger: 25 or 196?
196
Are -3 and -60/23 nonequal?
True
Is 362/7 < 51?
False
Which is smaller: -7 or 122?
-7
Which is smaller: -1779 or -3?
-1779
Are 45 and 47 equal?
False
Is -1 greater than -881?
True
Is 2824 <= 1?
False
Is -2321 <= -2320?
True
Which is smaller: 3 or 21?
3
Do 6 and 174 have the same value?
False
Do 71 and 499/7 have the same value?
False
Are -223 and -223 nonequal?
False
Which is smaller: -161 or -0.07?
-161
Which is bigger: 112 or 96?
112
Which is smaller: -269 or 6?
-269
Is -530 <= -2/5?
True
Which is greater: 3/155 or 1/7?
1/7
Which is greater: -1 or -11/597?
-11/597
Which is greater: 19/105 or -2/5?
19/105
Which is greater: -303 or 5?
5
Which is smaller: 0 or -2.534?
-2.534
Which is smaller: -5595 or -11189/2?
-5595
Are -142 and -141 non-equal?
True
Which is greater: 3318/17 or 195?
3318/17
Which is smaller: 2/2065 or 0?
0
Is 2537 >= 2536?
True
Is -58 less than or equal to -535/9?
False
Which is bigger: 2 or -8.4?
2
Is -0.4 not equal to -138?
True
Which is smaller: -1 or -2/171?
-1
Is 14369 at most 14369?
True
Which is smaller: 69/11 or 2?
2
Which is bigger: 1/7793 or 1?
1
Is -345 > -345?
False
Is -4452 > -4453?
True
Which is smaller: -1851 or -1857?
-1857
Is 27 at least 35?
False
Is -3175 smaller than -3177?
False
Which is smaller: -255 or -250?
-255
Is 4322 greater than or equal to 1?
True
Which is greater: 0 or 1/900?
1/900
Which is bigger: -2/1295 or 0?
0
Which is greater: -23 or 3?
3
Which is smaller: -199 or 0?
-199
Which is bigger: 115 or 118?
118
Which is smaller: -1604 or -1607?
-1607
Is 5016 < 5013?
False
Are 1 and -9/659 equal?
False
Is -125 <= -122?
True
Which is smaller: -926 or -910?
-926
Which is greater: 0.11 or 1/9?
1/9
Which is bigger: -2 or -6/11?
-6/11
Is -58 bigger than -1?
False
Are 8/15 and 0 equal?
False
Are 0.05 and 1769 equal?
False
Which is bigger: 16/983 or 1?
1
Are 1737 and 1734 equal?
False
Is -144/59 != -1?
True
Is 2328 at least 2330?
False
Is -67/2 at least as big as -34?
True
Is 1/1200 < 1?
True
Which is smaller: -2982 or -2/9?
-2982
Which is smaller: 1/14 or 121?
1/14
Is 1/2 at least as big as 2343?
False
Which is greater: -3/3760 or 0?
0
Which is smaller: -1 or -1/352?
-1
Is -331 >= -329?
False
Is -568 > -567?
False
Is -1/432 smaller than 1?
True
Which is bigger: -91 or 1?
1
Is 3/7 at least -4?
True
Which is smaller: 0.22 or 66/29?
0.22
Is 1649 smaller than -2/11?
False
Is 7993 <= 7997?
True
Are -2/16099 and 1 equal?
False
Does 2330 = 2331?
False
Which is bigger: 8 or 346/45?
8
Which is bigger: -0.4 or -1494?
-0.4
Which is smaller: -2/56579 or -1?
-1
Which is smaller: 31/122 or -1?
-1
Which is bigger: -1490 or -1487?
-1487
Is 4817 greater than or equal to 4817?
True
Which is greater: -0.29 or 41/4?
41/4
Which is bigger: 3/2077 or 0?
3/2077
Which is smaller: 531/2 or 267?
531/2
Which is smaller: 84/19 or 5?
84/19
Which is greater: -1614 or -1615?
-1614
Which is smaller: 0 or 23/30?
0
Is 1/207 < 3/4?
True
Do 1984 and 1984 have the same value?
True
Which is greater: -1 or 2/45725?
2/45725
Is -4 at most as big as -97/27?
True
Which is greater: -4/6269 or 0?
0
Is -1 >= -154/519?
False
Is -17548 at least 0?
False
Which is smaller: 5/9 or 2?
5/9
Do 3/119 and 1/4 have the same value?
False
Which is bigger: 2079 or 2077?
2079
Which is smaller: -195 or -198?
-198
Which is greater: 0.115 or -2?
0.115
Which is bigger: -6 or -8?
-6
Which is smaller: 3113 or 3119?
3113
Is -6 not equal to 8/7?
True
Is 0 at most 2/5473?
True
Which is bigger: -44288 or -1/4?
-1/4
Which is bigger: 3091 or 3090?
3091
Which is smaller: 25/18 or 1?
1
Which is smaller: 1642 or 1639?
1639
Which is smaller: -180/7 or -25?
-180/7
Which is bigger: -810 or -813?
-810
Which is smaller: -22/735 or -1?
-1
Is -3 less than or equal to -2/2073?
True
Which is greater: 1 or -28/229?
1
Is 4/501 >= 0?
True
Is 501 greater than or | {
"pile_set_name": "DM Mathematics"
} |
tters picked without replacement from wwzdwdwwwwwdddwwd?
1/34
Calculate prob of picking 1 t, 1 m, and 1 c when three letters picked without replacement from cucccmcmttcmtc.
9/52
Four letters picked without replacement from eeeyye. Give prob of picking 3 e and 1 y.
8/15
What is prob of picking 1 t and 1 v when two letters picked without replacement from {o: 2, t: 4, v: 3, y: 1}?
4/15
Two letters picked without replacement from oomzqzzmmfqmqmm. What is prob of picking 1 m and 1 f?
2/35
Three letters picked without replacement from {f: 5, d: 9, v: 2}. Give prob of picking 1 d and 2 f.
9/56
What is prob of picking 2 k and 2 q when four letters picked without replacement from {k: 4, b: 2, q: 3}?
1/7
Two letters picked without replacement from ymddryrlldre. Give prob of picking 1 l and 1 r.
1/11
Calculate prob of picking 1 i and 2 w when three letters picked without replacement from qiiwiswmiwwww.
30/143
Two letters picked without replacement from uuuuuuuuuuwwu. What is prob of picking 1 u and 1 w?
11/39
Four letters picked without replacement from lslslsqsslsbbllsslq. What is prob of picking 2 s and 2 q?
7/969
Two letters picked without replacement from {u: 13, l: 3}. What is prob of picking 2 l?
1/40
What is prob of picking 1 r and 2 u when three letters picked without replacement from kkuukkkuukrkkurk?
1/28
Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {i: 1, l: 1, n: 1, p: 1, y: 1, r: 2}.
1/21
Two letters picked without replacement from {l: 7, n: 11, i: 1}. Give prob of picking 1 l and 1 n.
77/171
Two letters picked without replacement from {c: 1, n: 2, h: 2}. Give prob of picking 1 n and 1 c.
1/5
Four letters picked without replacement from ssssespsyyptsy. Give prob of picking 1 s and 3 y.
1/143
Three letters picked without replacement from gwccgggcwcgggvccnc. What is prob of picking 1 c, 1 g, and 1 v?
49/816
Four letters picked without replacement from nttntnntuxttntxttn. Give prob of picking 1 x and 3 n.
2/153
Two letters picked without replacement from {k: 10, b: 2}. What is prob of picking 1 k and 1 b?
10/33
Four letters picked without replacement from {n: 6, k: 4, m: 1, p: 5}. What is prob of picking 1 p and 3 n?
5/91
Calculate prob of picking 1 f, 2 q, and 1 c when four letters picked without replacement from cqqccqpqqcqcccqfq.
7/85
What is prob of picking 3 g when three letters picked without replacement from {g: 7, j: 6}?
35/286
Three letters picked without replacement from {q: 1, a: 1, m: 3, h: 2, z: 4}. What is prob of picking 2 z and 1 m?
6/55
Four letters picked without replacement from {r: 3, j: 6, m: 8}. Give prob of picking 4 j.
3/476
Three letters picked without replacement from dssvmd. What is prob of picking 1 v and 2 d?
1/20
Two letters picked without replacement from {c: 12, g: 6}. Give prob of picking 2 g.
5/51
Three letters picked without replacement from {s: 3, u: 7}. What is prob of picking 3 u?
7/24
Two letters picked without replacement from {c: 1, f: 10, j: 3, i: 4, l: 1}. Give prob of picking 1 j and 1 c.
1/57
Calculate prob of picking 1 h and 1 p when two letters picked without replacement from kmhkkkpw.
1/28
Four letters picked without replacement from iispdspjidws. What is prob of picking 2 i, 1 j, and 1 w?
1/165
What is prob of picking 1 g and 1 r when two letters picked without replacement from {g: 5, i: 1, r: 11}?
55/136
Four letters picked without replacement from yfyyfffffffyyf. Give prob of picking 4 y.
5/1001
Calculate prob of picking 2 s when two letters picked without replacement from ffplssmlpflf.
1/66
What is prob of picking 1 b, 2 j, and 1 v when four letters picked without replacement from {v: 1, f: 4, j: 6, b: 5}?
15/364
Calculate prob of picking 1 z, 1 y, and 1 v when three letters picked without replacement from yzfvvvvffvffvfzyvaaf.
7/285
Three letters picked without replacement from boooboobob. Give prob of picking 3 o.
1/6
What is prob of picking 1 z and 3 g when four letters picked without replacement from gzggggzgggg?
28/55
Calculate prob of picking 2 n and 2 s when four letters picked without replacement from {c: 3, n: 4, s: 5}.
4/33
What is prob of picking 2 r and 2 a when four letters picked without replacement from rraara?
3/5
Four letters picked without replacement from {g: 2, w: 2, s: 3, k: 2, l: 6}. What is prob of picking 2 s and 2 w?
1/455
Two letters picked without replacement from itsvsltir. What is prob of picking 1 v and 1 t?
1/18
Four letters picked without replacement from ozzww. What is prob of picking 1 o, 2 w, and 1 z?
2/5
What is prob of picking 2 c and 1 b when three letters picked without replacement from {y: 2, c: 4, b: 1}?
6/35
What is prob of picking 2 k when two letters picked without replacement from {s: 12, k: 4, b: 4}?
3/95
Calculate prob of picking 1 l, 1 z, and 1 r when three letters picked without replacement from zxxzxzlzxlxxxlxrlqlx.
1/57
Four letters picked without replacement from {j: 3, v: 7}. What is prob of picking 3 j and 1 v?
1/30
Three letters picked without replacement from ngxgxnnxnxgx. What is prob of picking 2 g and 1 x?
3/44
What is prob of picking 1 f, 1 t, and 1 k when three letters picked without replacement from {k: 4, a: 4, v: 3, f: 3, r: 1, t: 5}?
1/19
Four letters picked without replacement from ytytcycy. Give prob of picking 1 c, 2 y, and 1 t.
12/35
Two letters picked without replacement from {i: 2, d: 5, b: 2}. Give prob of picking 1 b and 1 d.
5/18
Four letters picked without replacement from gzczgcczczgzzczzzcc. Give prob of picking 1 c, 2 z, and 1 g.
63/323
Calculate prob of picking 1 w, 1 l, and 1 z when three letters picked without replacement from fzfbbflzfbbfzlfbwlf.
3/323
What is prob of picking 2 q when two letters picked without replacement from {m: 2, q: 2, l: 1, a: 1}?
1/15
Four letters picked without replacement from {d: 2, l: 5, h: 1, z: 4, p: 4}. Give prob of picking 2 d, 1 l, and 1 z.
1/91
Calculate prob of picking 1 c and 1 k when two letters picked without replacement from iikkfiiciciciucc.
1/12
Three letters picked without replacement from rxhxhirirxr. What is prob of picking 2 r and 1 x?
6/55
What is prob of picking 1 g, 1 m, and 1 s when three letters picked without replacement from mmmtmmtgmmmsttmsm?
1/34
Calculate prob of picking 2 t when two letters picked without replacement from vtdvsvxtvsstsv.
3/91
Two letters picked without replacement from kiipipkiipppp. What is prob of picking 2 i?
5/39
Calculate prob of picking 1 x and 2 d when three letters picked without replacement from iixttiiqdixxiidxxq.
5/816
Three letters picked without replacement from eeeee. What is prob of picking 3 e?
1
What is prob of picking 1 r and 2 y when three letters picked without replacement from {y: 2, r: 11}?
1/26
Four letters picked without replacement from nlkrjkrjrjkskr. Give prob of picking 1 n, 1 j, and 2 k.
18/1001
What is prob of picking 1 q, 1 k, and 1 t when three letters picked without replacement from kdxttqqttqktttdtttq?
80/969
What is prob of picking 1 x, 1 v, and 1 m when three letters picked without replacement from {l: 2, m: 1, v: 2, x: 1, s: 1}?
2/35
Three letters picked without replacement from xixxxxiixxxixi. What is prob of picking 2 i and 1 x?
45/182
Two letters picked without replacement from zzqzzbzzbqrqzzqbzr. What is prob of picking 1 r and 1 q?
8/153
Four letters picked without replacement from {f: 4, k: 3}. What is prob of picking 1 k and 3 f?
12/35
What is prob of picking 1 p and 2 o when three letters picked without replacement from {o: 2, p: 5, a: 2, l: 2, h: 2}?
5/286
Calculate prob of picking 3 n and 1 u when four letters picked without replacement from unuununnunnn.
35/99
What is prob of picking 1 y, 1 g, 1 r, and 1 a when four letters picked without replacement from {a: 2, h: 5, r: 5, u: 2, y: 2, g: 1}?
1/119
Two letters picked without replacement from {n: 3, l: 1, z: 2, o: 6, s: 2}. What is prob of picking 1 s and 1 o?
12/91
Two letters picked without replacement from zzvvvzsv. Give prob of picking 1 s and 1 v.
1/7
Two letters picked without replacement from {p: 6, z: 1, h: 2, x: 3, l: 1, r: 2}. Give prob of picking 1 z and 1 x.
1/35
Calculate prob of picking 1 e and 1 f when two letters picked without replacement from fwwffwffweffeewwe.
7/34
Three letters p | {
"pile_set_name": "DM Mathematics"
} |
ond derivative of k(j). Suppose -1 - 7 = 4*q. Determine p(q).
-6
Suppose 3*o = 5*y + 19, 0 = 3*y + o + 24 - 21. Let j(s) = s + 1. Give j(y).
-1
Let t(m) = -m - 3. Let p(d) = 8*d + 20. Let a(x) = 6*p(x) + 40*t(x). Let y be (-1705)/(-35) + 6/21. Let k be 4/(-10) - y/(-35). Determine a(k).
8
Let s(b) = -6*b - 1. Let q(f) = -19*f - 10. Let g be q(-4). Let c be g/22 + -1 + 0. Give s(c).
-13
Let u(b) be the second derivative of -b**3/3 + b**2/2 + 5*b - 6. Suppose 12 = 2*w - d, 4 = -2*w + 3*d - 6*d. Calculate u(w).
-7
Suppose 0 = -w - 2*c + 4, 4 = w - 0*c - 2*c. Suppose 3*p - 2*y - 16 = -0*y, 23 = 4*p - 3*y. Let r be (p/w)/(2/12). Let t(m) = -4*m + 1. Determine t(r).
-11
Let p(v) = -4*v**3 + v + 2. Let s be p(-2). Suppose -s = -f - 30. Let a(y) = 3*y**f + 3*y - 3*y**3 + 0*y**3 + 4 + 2*y**3. What is a(4)?
0
Let n(m) be the first derivative of -15*m**2/2 - m + 1. Let s(j) = j**3 - 15*j**2 + 62*j - 49. Let b be s(8). Determine n(b).
14
Let u = -941 + 930. Let p(j) = 3*j - 11. Calculate p(u).
-44
Let r(n) = n**2 - 10*n + 10. Let u(z) = -z - 1. Let h(d) = 8*d**2 - 2*d - 6. Let i(j) = h(j) - 4*u(j). Let s be i(1). Give r(s).
-6
Let c(u) be the second derivative of 1/6*u**3 + 9*u + 1/6*u**4 + 0 + 0*u**2. Give c(-1).
1
Let t = -18 - -85. Let r = t + -64. Let l(s) = 3*s - 3 - 4*s + 0*s**2 + s**2. Give l(r).
3
Let t = 1115 + -1120. Let f(u) = u**2 - 5*u + 1. Calculate f(t).
51
Let k(d) be the first derivative of d**4/4 + 6*d**3 - 10*d + 331. Determine k(-18).
-10
Let z be 1*((-2 - 0) + 1 + 1). Suppose 5*p = h + 11, z = 2*h + 2*h - 3*p - 24. Let u(o) = -o**2 + 10*o - 5. What is u(h)?
4
Let k(a) = 5*a**2 - 146*a - 3 + 301*a + 5*a**3 - 152*a. Let r(o) = 9*o**3 + 10*o**2 + 6*o - 5. Suppose 4*w + 0*w = -16. Let z(h) = w*r(h) + 7*k(h). Give z(-4).
-5
Let k be -1 - (-11)/2 - 1/(-2). Let i(m) = -3 - m - 1 + 4*m - k. Determine i(6).
9
Let c(h) = 8*h**2 - 4*h - 3. Let z(k) = -6*k**2 + 4*k + 3. Let w(l) = 2*c(l) + 3*z(l). Calculate w(5).
-27
Let n(o) = 2*o - 12. Let k be 1/(4/24) - -3. Suppose 0 = 5*j - 6*j + k. Calculate n(j).
6
Let v = 6 + -1. Let c be ((-6)/(-15))/(1/v). Let u(p) be the first derivative of -3*p**4/4 + p**3 - p**2/2 + 2*p + 11. Determine u(c).
-12
Suppose -3*b = 5*v - 75, 0*b = 2*v - 2*b - 46. Let g = v + -15. Let q(c) = c**3 - 4*c**2 + c + 4. Calculate q(g).
-2
Suppose 0 = v + i, 3*i - 10 = -4*v + 4*i. Suppose v*k - m - 1 = 4, -5*k + m = -11. Let z(t) = -5*t + 1. Calculate z(k).
-9
Suppose 0 = 312*v - 328*v - 16. Let t(y) = -9*y**3 + y + 1. What is t(v)?
9
Let k(x) = -27*x + 10. Let y = 100 - 98. Let a(z) = 5*z - 2. Let u(s) = y*k(s) + 11*a(s). Calculate u(7).
5
Let n(l) = -l**2 - 4*l + 4. Let z = 26 - -16. Suppose -z = m - 37. What is n(m)?
-1
Let b(j) be the first derivative of j**3/3 - 5*j**2/2 - 4*j - 91. Give b(-3).
20
Suppose 28*w - 32*w + 24 = 0. Let x be (4/w)/(2/6). Let p(r) = r**2 - r + 1. Give p(x).
3
Let r(d) = d**2 - 4*d**3 - 3*d**2 + 2*d**3 - 4*d - 7*d**2. Let a be r(-4). Let p(t) = -t**3 - t**2 - t + 11. Give p(a).
11
Let z(a) = -1 + 41*a**3 + 2*a**3 + 2*a - 10*a**3 - 2*a**2. Give z(1).
32
Let r(s) = -18 + 4*s + 3*s - 5*s + s**2 + 4*s. Let q be r(-8). Let b(h) = h**3 + 6*h**2 + 3*h. Calculate b(q).
10
Let g(k) = k**3 + 1 + 0*k**2 + 3*k + 4*k**2 - 4*k**2 - 5*k**2. Suppose 3*n = 8*z - 4*z + 4, -4*z + 12 = n. What is g(n)?
-3
Let h(j) be the second derivative of 3/2*j**2 + 1/20*j**5 + 0*j**3 - 4*j + 1/12*j**4 + 0. Determine h(0).
3
Let g = -43 - -46. Suppose 2*r = -3*t - 5, r + 1 = -3*t + g*r. Let v(w) be the first derivative of -3*w**4/4 + w**2/2 + 1. Calculate v(t).
2
Let l(g) = -g**2 + 5*g - 4. Let a be l(1). Let n(j) = j**2 - 3*j + 7. What is n(a)?
7
Let l(d) = -2*d**2 - 16*d + 24. Let s be l(-9). Let v(b) = b**3 - 5*b**2 - 9*b + 2. Give v(s).
-16
Let y(b) = b + 12. Let m = -4 - -3. Let w be m - (-3 + 6 + 1). Determine y(w).
7
Let f(g) = 3*g + 19. Let r = 186 + -195. What is f(r)?
-8
Let h(y) = 2*y + 24. Suppose -14*l - 129 + 45 = 0. Calculate h(l).
12
Let m(g) = -g**3 - 4*g**2 + 5*g - 5. Let w(f) = f. Let v(o) = m(o) - w(o). Give v(-5).
0
Suppose 5*v = -5*b + 2*v + 10, 0 = -b - 5*v + 2. Let c(w) = 12 + w**3 + 2*w**b + 2*w**2 - 10. Calculate c(-4).
2
Let i(n) = -2*n**2 - 15*n - 18. Let f be i(-6). Let m(x) = x**2. Calculate m(f).
0
Let g be 6 + (-4)/1 - 143. Let j = g + 143. Let l(o) = o**2 + 1. Determine l(j).
5
Let f(x) = x**3 + 7*x**2 + 10*x + 29. Let c be f(-6). Let v(o) = o**3 - 7*o**2 + 3*o - 4. Give v(c).
-39
Let a(m) be the third derivative of -m**5/60 + m**3 - 5*m**2. Let z(p) = -20*p - 60. Let h be z(-3). Determine a(h).
6
Let i be (3/(-2))/((-12)/88). Let l = i - 12. Let f(z) be the second derivative of z**5/4 + z**3/6 + z**2/2 + 4*z. Calculate f(l).
-5
Let j(s) be the first derivative of s**4/4 - 8*s**3/3 - s**2/2 - s - 2. Let d = -163 - -171. Calculate j(d).
-9
Suppose -4*m + 18 = -10. Let o(d) = -6*d**3 - 7*d**2 + 9*d + 7. Let u(x) = 3*x**3 + 4*x**2 - 5*x - 4. Let r(y) = m*u(y) + 4*o(y). What is r(1)?
-2
Let w = 16 + -13. Suppose 2*j - w = -13. Let g(r) = -2*r - 3. Give g(j).
7
Let k(x) be the third derivative of x**4/12 - x**3/6 + 20*x**2 + 14*x. Let f(b) = -b**2 - 2*b + 1. Let l be f(-2). What is k(l)?
1
Let o = 1279 - 1276. Let a(u) = 3*u - 4*u + 2*u - u**2 + 3. Calculate a(o).
-3
Let g(m) = -2*m + 5. Let v = -4 + 12. Suppose -5*t + 4 = 4*u, 20 = v*t - 4*t - u. Suppose t = 2*n - n. Determine g(n).
-3
Let m(i) be the second derivative of -i**5/20 + i**4/12 + i**3/3 + i**2/2 - 141*i + 1. Calculate m(-2).
9
Suppose 159 = -129*u - 30*u. Let m(a) = -9*a + 4. Let l(w) = -1. Let t(f) = 5*l(f) + m(f). Determine t(u).
8
Let j(g) = g - 4. Suppose -1 = 2*z - 3*z, -5*z = 3*b - 62. Suppose -5*w + b = -51. Let a be (w/21)/(2/12). Determine j(a).
0
Let c(o) be the second derivative of -2*o**3/3 + 55*o**2/2 + 321*o. What is c(12)?
7
Suppose 23*k = -21*k + 616. Let v(p) = p**2 - 13*p - 4. Calculate v(k).
10
Suppose 5*b + 60*k - 56*k - 11 = 0, 3*b + k = 1. Let p(x) = -26*x**2 - 3*x - 2. Calculate p(b).
-25
Let w(m) = -m - 3. Let t be w(3). Suppose 3*z - 3*b + 19 = 1, 2*z + b - 3 = 0. Let i(n) = 3*n. Let c(p) = p. Let u(k) = z*i(k) + 4*c(k). Give u(t).
-6
Suppose 264*d + 48 = 240*d. Let g(s) = 22*s - 1. Give g(d).
-45
Let y(s) be the second derivative of -s**6/144 + s**5/120 + s**4 + 25*s. Let q(i) be the third derivative of y(i). Calculate q(1).
-4
Let a = -3 + -4. Let i be (2/(8/(-3)))/((-3)/12). Let b(w) = 7*w + 9 + 2*w**3 + 11*w**2 - i*w**2 - w**3. What is b(a)?
9
Suppose -n - 30 + 33 = 0. Let u(i) = -3*i**2 - 1 + 3*i - i**3 + 0*i**n - i**2 + i**2. Calculate u(-4).
3
Suppose 55 = -5*u - 0*u. Let y = u + 9. Let a be 1*(0 + (y - 1)). Let l(f) = -f**2 - 4*f - 2. Calculate l(a).
1
Let x(p) = 8*p - 35. Let m(q) = -6*q + 24. Let i(s) = 7*m(s) + 5*x(s). Give i(-4).
1
Let v(z) = 3*z**3 + 46*z + 2*z**2 + 42*z - 4*z**2 - 86*z. Determine v(2).
20
Suppose 5 = 5*g - 5*d, -5*d = 3*g - 34 - 1. Let z = -11 - -19. Let n = g - z. Let o(u) = -u**2 - 6*u + 1. What is o(n)?
10
Let q be (-1)/(-2)*-1*(-64)/8. Let r(o) = o**3 + o**2 - o - 1. Let d(t) = -2*t**3 - 8*t**2 + 4*t + 5. Let l(i) = -d(i) - 3*r(i). Calculate l(q).
10
Let g(p) = -p**3 - p**2 + 4*p - 4. Let s(d) = d**3 - 3*d + 3. Suppose 0 = -6*v + 10*v - 20. Let u(n) = v*g(n) + 6*s(n). Calculate u(5).
8
Let s be 14/(-1)*(-6)/21. Let m = s + -4. Let h(x) = x + 2 + m + 0*x + 0. What is h(-5)?
-3
Let b be (-5)/(-2*1/(-4)). Let k(j) = -3*j - 19. Determine k(b).
11
Let t(h) be the second derivative of -h**5/20 + 7*h**4/6 + 2*h**2 + 2*h - 18. What is t(14)?
4
Let j(t) = -4*t - 1. Suppose 5*u - 4*u = -84. Let r be 1/((-4)/u*-3). Let v be (-8)/(-12) + r/(-3). Determine j(v).
-13
Let s(q) be the third derivative of -5*q**2 + 0*q + 1/60*q**5 + 1/2*q**3 + 0 + 5/24*q**4. Give s(-3).
-3
Let m(o) be the second derivative of -o**5/20 - o**4/6 + o**3/6 - o**2/2 + 34*o + 1. Determine m(-3).
5
Let r(i) = -i**2 + 34*i - 117. Let l be r(4). Let o(z) = z**2 - 4 + 1 - z**3 + z**2 + 4*z. Calculate o(l).
0
Let s = 14 + -12. Suppose 3*u - 31 = -2*u - 3*f, 2*u = -s*f + 14. Let w(a) = -a**3 - 4 + u - 2*a**3 + 2*a**3. Calculate w(0).
1
Let x(r) be the second derivative of -r**7/840 + r**6/120 + r**5/120 - r**4/8 - 5*r**3/2 - 9*r. Let v(t) be the second derivative of x(t). Determine v(4).
-15
Let d(v) = v**2 + 5*v + 1. Let | {
"pile_set_name": "DM Mathematics"
} |
3/28
Calculate prob of picking 2 p and 1 i when three letters picked without replacement from {i: 3, p: 7}.
21/40
Two letters picked without replacement from nhxxwxt. What is prob of picking 1 h and 1 x?
1/7
Calculate prob of picking 1 o and 1 l when two letters picked without replacement from luuuuzov.
1/28
Calculate prob of picking 1 j, 1 s, and 1 g when three letters picked without replacement from {x: 2, k: 1, j: 1, s: 3, y: 1, g: 3}.
3/55
Calculate prob of picking 4 t when four letters picked without replacement from ttitttttttttttttitti.
28/57
Two letters picked without replacement from uzaaixkizkkakau. Give prob of picking 1 k and 1 u.
8/105
Two letters picked without replacement from {u: 1, l: 3, r: 2, o: 1, w: 1, q: 5}. What is prob of picking 1 u and 1 l?
1/26
What is prob of picking 2 m when two letters picked without replacement from {a: 3, f: 2, u: 4, m: 6}?
1/7
What is prob of picking 1 r and 1 t when two letters picked without replacement from rtrrrt?
8/15
Two letters picked without replacement from {d: 2, b: 1, m: 1, x: 3, j: 1, e: 3}. Give prob of picking 1 b and 1 d.
2/55
Three letters picked without replacement from ffffff. What is prob of picking 3 f?
1
Calculate prob of picking 1 i and 3 f when four letters picked without replacement from ffiiiff.
12/35
Calculate prob of picking 4 h when four letters picked without replacement from {y: 3, p: 1, z: 1, h: 5}.
1/42
What is prob of picking 3 w when three letters picked without replacement from wtwwwwwtw?
5/12
Three letters picked without replacement from gggggggiigggiggggi. Give prob of picking 3 i.
1/204
Two letters picked without replacement from ppxppprpxppppprpxp. Give prob of picking 2 r.
1/153
Four letters picked without replacement from lelqqehleene. Give prob of picking 1 l, 1 h, 1 q, and 1 n.
2/165
What is prob of picking 2 v, 1 k, and 1 b when four letters picked without replacement from {d: 6, v: 2, t: 1, b: 1, k: 2, j: 6}?
1/1530
Four letters picked without replacement from zzzlzclzc. What is prob of picking 1 c and 3 z?
10/63
Two letters picked without replacement from ukkkktkxqkukjkx. Give prob of picking 1 t and 1 x.
2/105
What is prob of picking 1 z and 2 o when three letters picked without replacement from {z: 3, o: 12}?
198/455
Two letters picked without replacement from jtttpmjmttum. What is prob of picking 2 t?
5/33
Calculate prob of picking 1 e and 1 k when two letters picked without replacement from ellllkiliaikg.
1/39
What is prob of picking 1 s, 2 j, and 1 h when four letters picked without replacement from {f: 1, b: 6, h: 2, j: 1, s: 5}?
0
Calculate prob of picking 3 z and 1 t when four letters picked without replacement from ztzztzztzzztzzztzzz.
455/969
Calculate prob of picking 3 i when three letters picked without replacement from iiiiii.
1
Calculate prob of picking 2 b and 2 i when four letters picked without replacement from {u: 6, n: 1, i: 2, b: 2}.
1/330
Four letters picked without replacement from {m: 3, x: 1}. Give prob of picking 4 m.
0
Two letters picked without replacement from vvqwvvwcpvjpw. What is prob of picking 1 j and 1 w?
1/26
Two letters picked without replacement from iviiiiiiiiiiiiiiiiii. What is prob of picking 1 v and 1 i?
1/10
What is prob of picking 3 f when three letters picked without replacement from {s: 6, o: 4, f: 3}?
1/286
Two letters picked without replacement from {u: 3, d: 4, j: 1, f: 4, r: 1}. Give prob of picking 1 u and 1 f.
2/13
What is prob of picking 2 k, 1 m, and 1 s when four letters picked without replacement from snmsmnksksnd?
8/495
Three letters picked without replacement from criizww. What is prob of picking 1 w, 1 z, and 1 i?
4/35
What is prob of picking 1 m and 2 d when three letters picked without replacement from mudmmmudmummmmmmdm?
3/68
What is prob of picking 2 i when two letters picked without replacement from fpwzwiwiizzzzzffp?
3/136
Three letters picked without replacement from {n: 4, u: 3, g: 10, q: 3}. Give prob of picking 3 n.
1/285
Two letters picked without replacement from icccccbccccq. What is prob of picking 1 c and 1 i?
3/22
Calculate prob of picking 2 f, 1 k, and 1 h when four letters picked without replacement from kyhgffqggyqgfyy.
1/455
Calculate prob of picking 2 q and 2 z when four letters picked without replacement from {q: 3, k: 1, i: 6, z: 3}.
9/715
Three letters picked without replacement from {o: 3, a: 3, q: 3, f: 10}. What is prob of picking 2 o and 1 q?
3/323
Calculate prob of picking 2 p and 1 q when three letters picked without replacement from aaqaqqqqqwqpkpaxa.
7/680
Four letters picked without replacement from mkymymmyymmym. Give prob of picking 3 m and 1 k.
7/143
Two letters picked without replacement from hhhnnh. What is prob of picking 2 h?
2/5
Two letters picked without replacement from {m: 2, s: 1, l: 5, q: 1, g: 1}. What is prob of picking 1 m and 1 l?
2/9
Calculate prob of picking 1 f, 2 z, and 1 r when four letters picked without replacement from rgfzzfzzzfgz.
1/11
Calculate prob of picking 1 z, 1 s, and 1 e when three letters picked without replacement from zzzzieiggtsizzi.
6/455
Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {y: 1, u: 3, p: 5, c: 7}.
7/40
Four letters picked without replacement from {t: 4, v: 5, q: 2, c: 7}. What is prob of picking 1 c, 2 q, and 1 v?
7/612
Two letters picked without replacement from {v: 1, n: 4, z: 1, t: 4, k: 1, j: 1}. What is prob of picking 1 z and 1 k?
1/66
Calculate prob of picking 1 s and 2 q when three letters picked without replacement from qqqqqqqqqqqqqqqqsqq.
3/19
Three letters picked without replacement from pqeeppeeeeeqqepeee. Give prob of picking 1 p, 1 q, and 1 e.
11/68
Three letters picked without replacement from yymyyymmyyy. Give prob of picking 3 y.
56/165
Two letters picked without replacement from jjjjjjjijjdjjjjijjdd. What is prob of picking 1 i and 1 j?
3/19
What is prob of picking 4 n when four letters picked without replacement from krknnnnrnrnn?
7/99
Four letters picked without replacement from qaaqqaakqenqqaeak. Give prob of picking 2 a, 1 n, and 1 e.
3/238
Two letters picked without replacement from vmvyvyvyvvvvvmv. What is prob of picking 1 v and 1 m?
4/21
What is prob of picking 2 e when two letters picked without replacement from ennncnnceennnnn?
1/35
Two letters picked without replacement from ownw. What is prob of picking 1 o and 1 n?
1/6
Four letters picked without replacement from {p: 9}. What is prob of picking 4 p?
1
Two letters picked without replacement from {u: 2, k: 6, y: 7}. What is prob of picking 2 k?
1/7
Two letters picked without replacement from {g: 1, c: 3, k: 2, b: 1, a: 1, x: 3}. What is prob of picking 2 k?
1/55
What is prob of picking 1 i and 1 d when two letters picked without replacement from {i: 1, j: 2, d: 1, k: 1, f: 1, z: 1}?
1/21
Three letters picked without replacement from uuszkizzuzustuiuu. Give prob of picking 2 i and 1 s.
1/340
What is prob of picking 2 j when two letters picked without replacement from rrrjrjrrrrjrrjrrjr?
10/153
Two letters picked without replacement from {r: 2, q: 2, x: 1, i: 1}. What is prob of picking 1 i and 1 x?
1/15
Two letters picked without replacement from gpg. Give prob of picking 2 g.
1/3
What is prob of picking 1 o, 1 k, and 1 j when three letters picked without replacement from {j: 1, o: 4, n: 3, k: 1, c: 4, r: 1}?
1/91
Two letters picked without replacement from mmvjmcmvvmcccmc. Give prob of picking 2 v.
1/35
Three letters picked without replacement from aggaggg. Give prob of picking 3 g.
2/7
Two letters picked without replacement from {q: 5, z: 5}. What is prob of picking 2 z?
2/9
Three letters picked without replacement from {c: 15, w: 4}. What is prob of picking 3 w?
4/969
Two letters picked without replacement from zccktttctc. Give prob of picking 2 c.
2/15
What is prob of picking 2 q when two letters picked without replacement from {f: 1, q: 4, c: 3, w: 1, g: 6}?
2/35
Calculate prob of picking 2 w when two letters picked without replacement from {l: 1, s: 2, d: 1, x: 1, o: 1, w: 2}.
1/28
Two letters picked without replacement from cfhlzhfz. What is prob of picking 2 h?
1/28
Calculate prob of picking 2 y when two letters picked without replacement from {k: 1, i: 7, g: 2, l: 2, e: 1, y: 2 | {
"pile_set_name": "DM Mathematics"
} |
losest to 2? (a) 2 (b) j (c) 0.13
a
Let w = -2 - -2. Let c = -2.038 + 0.038. What is the nearest to -2 in 1/3, c, w?
c
Let i = 6 - 6.4. Let q = 0.82 + -1. Let g = 4.18 + q. Which is the closest to 0.1? (a) i (b) -0.5 (c) g
a
Let y be (-160)/25 + 7 - 1. Let t = -1 - -1.1. What is the closest to y in -0.4, -5, t?
-0.4
Let i = 0.4 + -0.59. Let m = 4.24 - 1.05. Let g = i + m. What is the nearest to g in 2/5, -2, 2?
2
Suppose -5*z - 5 - 10 = 0. Let u be 2 + (z - 9/(-21)). Let b = 0.09 + -0.49. What is the closest to -1 in 1, b, u?
u
Let n be (-192)/195 + (-4)/(-10). Let s = n - -5/13. What is the closest to -2/13 in 0.5, s, -2/3?
s
Let t be (86 - (2 + 3/3)) + -1. Let w = -248/3 + t. Which is the closest to 1? (a) 13 (b) -2 (c) w
c
Let w = -20.27 + 24.27. Which is the nearest to 0? (a) w (b) 3 (c) -2
c
Let r(u) = 3*u**2 - 4*u + 7 - 4*u**2 + 4*u + 7*u. Let w be r(8). Which is the nearest to 1/3? (a) 2/5 (b) w (c) 1/10
a
Let s = -220.4 - -220. Suppose -2*z = -5*z - 3. Let v be (4/(-24))/(z/4). Which is the closest to -2? (a) s (b) v (c) 4/5
a
Let a = 153/2 + -77. What is the closest to 0 in a, 4, -5?
a
Let c = -237.3 + 237. What is the closest to 2 in -2/9, 3, c?
3
Let t = 4.7 - 5. Let o = -1.3 - t. Let m = -855/1484 - -1/212. Which is the nearest to o? (a) -4 (b) 0.3 (c) m
c
Let t = 34 - 26. Let n be (-1)/2*(4 - t). Let r = -0.1 - -0.2. Which is the closest to r? (a) 1/2 (b) 2/3 (c) n
a
Let s = 0.0777 + -0.1777. Let w(i) = -i + 3. Let q be w(4). What is the closest to -1/2 in s, 0.4, q?
s
Let p = -82 - -85. Let v be (p + 26/(-14))*3/12. Which is the nearest to v? (a) 2/7 (b) -3 (c) 0.4
a
Let g = 53/132 - 7/12. Which is the closest to -1/6? (a) -5 (b) 3/8 (c) g (d) 1
c
Let v = 0.4 - 0.3. Let y = -1222 + 1222. Let z = 45/2 + -23. Which is the nearest to v? (a) y (b) z (c) 2/15
c
Let o = -0.36 + -0.04. Let p = o + 7.4. Let l = -0.755 - -0.955. What is the closest to 1 in l, 5, p?
l
Let n = -179/24 + 65/8. Which is the nearest to -2/105? (a) -3/5 (b) n (c) 0
c
Suppose -3*c + 3 = -i + 4, -c = -4*i - 7. Let l be 3 - ((-190)/(-72) + (-3)/(-12)). What is the nearest to -2/11 in 5, l, c?
l
Let t = 7 - 4. Suppose 4*s - 28 = 3*i, 2*i + 4*s - 5 - 3 = 0. Let m be 2/i + (-18)/108. Which is the nearest to 1/3? (a) t (b) m (c) -0.2
c
Let f = 10 - 7. Let v = -8.8 - -3.8. Which is the nearest to 1? (a) v (b) -6/5 (c) f
c
Let l = -1233 + 1225. Which is the nearest to 1/3? (a) l (b) 0.5 (c) -0.2
b
Let j = 0.3 - 0.5. Let k = j + -0.1. Let n = 0.106 + -0.206. Which is the closest to 1? (a) n (b) k (c) 2
c
Let x = 6 - 10. What is the nearest to -2 in -1, x, -6?
-1
Let s = 18.9 - 18.927. Which is the closest to s? (a) 1/3 (b) 3/2 (c) -3
a
Let n = 3.85 + 0.15. Let d = 1.4 - -15.6. Let v = 18 - d. What is the closest to v in 1, -5, n?
1
Let r = -7 - -6. Let b = 8 - 3. Let u = 4.9 - b. What is the closest to u in 0, 0.5, r?
0
Let n be (224/(-6))/(-7) - (17 + -11). Which is the closest to n? (a) -7 (b) -2 (c) -0.4
c
Suppose -2*x - 3*x + 3*i = 22, 3*x + 18 = 3*i. Let l = -12 - -9. Let f be ((-13)/(-117))/(-4*1/(-18)). Which is the nearest to f? (a) 5 (b) l (c) x
c
Let b = 0 + 0.1. Let k = 0.2 + b. Suppose 7*z + 35*z = -4*z. What is the closest to z in 4/7, k, -0.2?
-0.2
Let g = -314 + 314.1. Which is the nearest to g? (a) -0.3 (b) -5/4 (c) 4
a
Let d = -6 + 8. Suppose 2*u + 20 = -d*u + 3*c, 25 = -5*u - 4*c. Let b = 821/2849 - 1/407. What is the nearest to 1 in b, 4, u?
b
Let c = 12 + -12.14. Let f = 3.7 - 2.56. Let r = f + c. What is the nearest to r in -5, 5, 0.5?
0.5
Let k be (34/(-85))/((-42)/5). Let z = -13/28 + k. Let d = z + -1/4. Which is the closest to d? (a) 0.2 (b) -2 (c) 3
a
Let s be (0 + 3 + (-371)/132)*-2. Let j = -4/33 + s. Which is the nearest to j? (a) -2 (b) 0 (c) 5
b
Let q = -18 - -23. What is the closest to -0.2 in 2/23, q, 1, 0.3?
2/23
Let h = -8.2 + 10. Let z = h - 15.8. Let b = z + 19. What is the nearest to -0.1 in 4/3, b, -4?
4/3
Let d be -78 + 81 + 1 + (-170)/32. What is the nearest to d in -1/3, -1, -3?
-1
Let i = -8.83 + 9.63. Which is the nearest to -0.4? (a) i (b) 3/7 (c) -2/13
c
Let g = 143 - 148. Let s be (-4)/(-22) - 144/66. Which is the nearest to 0.1? (a) s (b) 3/7 (c) g
b
Let v = 8.06 + -8. Let j = -2692 - -2693. Which is the closest to j? (a) -2/5 (b) v (c) 0.2
c
Let j(l) = l**2 + 3*l - 4. Let v be j(-4). Let t = -101 - -150. Let h = t - 46. What is the closest to -2/3 in v, -0.3, h?
-0.3
Let j = -0.16 + 1.26. Which is the nearest to 0.7? (a) j (b) -2/5 (c) -5
a
Let t be ((-69)/18 - -3)*2/(-5). Suppose 2*o + 0 = -n - 9, -36 = 4*n + 4*o. Let p be ((-5)/(-6))/(6/n). Which is the closest to t? (a) 1/6 (b) p (c) -1
a
Suppose 3*x + 8 = 4*h - x, x = 2*h - 5. Suppose 0 = h*r + r + 16. Let w = -0.9 + 1. Which is the nearest to w? (a) r (b) -2 (c) 0.3
c
Suppose 200 = 18*t + 128. Which is the nearest to -1? (a) t (b) -1/3 (c) -2 (d) -0.3
b
Let j = -6 - -3. Let d = -92 + 48. Let w = 44 + d. Which is the closest to w? (a) 2 (b) 1 (c) j
b
Suppose -34*q - 134 = -168. Let w = 0.2 + -0.3. What is the closest to q in w, 1, 2/3?
1
Let a(o) = -o + 2. Let r be a(-2). Suppose -r*j - 4*h + 2*h = 40, -2*j + 3*h - 12 = 0. What is the nearest to j in 2/7, -3, -5?
-5
Let w = 0.27 - 0.57. Let m = 153 - 149. Which is the closest to -3? (a) m (b) w (c) 3
b
Let n = 3.9 + -4.3. What is the nearest to 1 in 16, n, 4/3?
4/3
Let s = 197/4 - 50. Let f = -4/39 + -22/39. What is the closest to -34 in f, 4, s?
s
Let p = 827 - 827. Which is the nearest to 2/5? (a) -13 (b) p (c) -5
b
Let u(k) = -1. Let o(j) = -2*j - 4. Let l(t) = -o(t) + 6*u(t). Let w be l(5). Let g = 9 - w. Which is the closest to -1/3? (a) 3 (b) g (c) 5
b
Let o = 82.7 - 77. Let u = 5.6 - o. What is the nearest to 1/4 in -1, u, 1?
u
Let s = 1184/3 + -396. Which is the nearest to -27/2? (a) s (b) -0.5 (c) 0.2
a
Let b = 219 + -221. Let k = -4 + -1. What is the closest to -1/2 in k, b, 0.1?
0.1
Let k(n) = -n**2 + 9*n + 27. Let l be k(12). Let x be (-6)/l*(-6)/(-10). What is the nearest to 1 in -4/5, 2/15, x?
x
Let q = 397/48 + -143/16. Which is the closest to 8? (a) 0.2 (b) q (c) -2 (d) -5
a
Let p(m) = -m**2 + 4*m + 5. Let h be p(5). Let r = -212 + 211.6. Which is the nearest to -1? (a) 2 (b) h (c) r
c
Let y be (-58)/435*(-2 - 1). Which is the nearest to y? (a) -5 (b) 0.5 (c) 14 (d) 4
b
Let i = -145.7 + 146. Let h = -13 + 9. Let y = 2 + h. What is the nearest to 1 in 2, i, y?
i
Let z be 32/30 + (-6)/9. Suppose 30 = 4*r + 3*v + 7, 4*v + 12 = 0. Let p(a) = -a**2 + 8*a - 2. Let f be p(r). What is the nearest to z in -0.2, 0.3, f?
0.3
Let l = -5.39 + 7.39. Which is the nearest to -16? (a) l (b) -2/3 (c) 0 (d) -5
d
Let y = -94.98 + 95. Let l = -120/17 + 2623/374. Let r = 47/66 + l. What is the closest to r in 4/5, -2, y?
4/5
Let o = -2/61 - -67/183. Let k = -5546 + 5541. What is the nearest to o in -2, k, -3/8?
-3/8
Let i = 0 + -3. Let t be 10/36*1 + (-16)/32. Which is the closest to t? (a) -1/2 (b) -3/2 (c) i
a
Let i = 795/4 + -199. What is the closest to 1/2 in -2/9, i, 13, -5?
-2/9
Let x = 6.3 - 1.3. Let k = 0.01102 + 0.18898. Which is the closest to -3? (a) x (b) 0.3 (c) k
c
Let h = 6 - 1. Let p = 2034 + -6179/3. Let q = p + 26. Which is the closest to 1? (a) q (b) 1 (c) h
b
Let d = 14 + -30. Let v = -14 - d. Which is the closest to 1? (a) -0.1 (b) v (c) 8
b
Let s be (3/(-4))/((-243)/72). Let a = -3 + 3.1. Suppose -5*b = 3*d + 23, -4*d - b = b + 12. What is the closest to d in s, a, -0.4?
-0.4
Let n = -199 + 198. What is the nearest to 0.7 in 0.5, n, -2/15?
0.5
Let o = -200 - -203. Which is the closest to -2/19? (a) o (b) -3/8 (c) 0.2
b
Let p = -0.111 + -36.389. Let l = p + 37. Which is the closest to 0.1? (a) -3 (b) 0 (c) l
b
Let y be (-92)/22 - (-18)/99. Let f be y/26 + 27005/1716. Let r = -46/3 + f. Which is the closest to -0.1? (a) 3 (b) -3 (c) r
c
Suppose 4*c - 8*c = 15560. Let j be 4/26 + c/(-65). Let n = 182/3 - j. What is the nearest to 1 in -0.2, 3/7, n?
n
Let b = 0.0368 + -3.0368. What is the nearest to 1/3 in 3, b, -1?
-1
Let f be -15 - (-484)/33 - (-10)/18. Let r = -1 + 2. Which is the nearest to 1/3? (a) f (b) r (c) 2/5
c
Let q = 9.493 + -6.493. Let c be (2/10)/( | {
"pile_set_name": "DM Mathematics"
} |
2*n. What is a*y(i) + 5*q(i)?
10*i
Let l(u) = 6*u + u**2 + 6 + 9*u - 17*u. Let c(y) = 6*y - 17*y - 11 - 2*y**2 + 7*y + 7*y. What is -4*c(k) - 7*l(k)?
k**2 + 2*k + 2
Let y(j) = -215*j**3 + 4*j**2 + 4*j - 3. Let o(m) = 217*m**3 - 3*m**2 - 3*m + 2. Give -4*o(w) - 3*y(w).
-223*w**3 + 1
Let l(i) = 27*i**3 - 3*i**2 - 20*i + 7. Let o(k) = -k**3 + 4*k - 2. Let u(w) = l(w) + 5*o(w). Let p(y) = -66*y**3 + 8*y**2 + 8. Calculate 3*p(v) + 8*u(v).
-22*v**3
Let t(j) = 44 - 2*j**3 + j - 44. Let s(q) = 4*q**3 - q. Let u be (2 + -9 - 0)*(-64)/224. What is u*s(w) + 5*t(w)?
-2*w**3 + 3*w
Let i(d) = -602*d - 8. Let y(m) = 3010*m + 37. What is -29*i(l) - 6*y(l)?
-602*l + 10
Let g(x) = 2. Let v be 1 - -3 - (-3 + (-3 - -4)). Let c = -5 + v. Let w(n) = -c + 7 + n**2 - 3. Determine 5*g(f) - 3*w(f).
-3*f**2 + 1
Let o(w) = -904*w - 2. Let l(h) = -493*h - 1. Let g(u) = -11*l(u) + 6*o(u). Let a(p) = 10*p + 26. Calculate -2*a(z) - 18*g(z).
-2*z - 34
Let j(n) = -30*n - 128*n + 157*n - 2 + 3. Let g = 12 - 5. Let d(u) = -g*u + 0*u + 4 + 1 + 2*u. What is d(x) - 4*j(x)?
-x + 1
Let k = -43 - -42. Suppose 41 = -11*p + 107. Let j(y) = -6*y**2 - 6*y + 6. Let o(u) = -u + 1. Give k*j(m) + p*o(m).
6*m**2
Let o(f) = f**2 + f + 1. Let p(y) = -y**3 - 5*y**2 - 5*y + 2. Let n = -217 - -232. Suppose 4*j = 6*j + 3*k - 17, -5*j - n = -4*k. Calculate j*p(l) + 5*o(l).
-l**3 + 7
Let z = 328 + -308. Let u(h) = 9 - 13 + 16*h**3 - h**2 - z*h**3 - 5*h. Let f(j) = 2*j**3 + 2*j + 2. Calculate -5*f(y) - 2*u(y).
-2*y**3 + 2*y**2 - 2
Let m(t) = 0*t**3 + 10*t - 9*t - t**3 - 1. Let d be 1*(50/5 + -9)*3. Let h(p) = -4*p**3 + p**2 + 3*p + 1. Determine d*m(l) - h(l).
l**3 - l**2 - 4
Let o(u) = 8*u**3 - 77*u**2 + 15*u. Let m(h) = -h**3 + 14*h**2 - h. Calculate 4*m(n) + o(n).
4*n**3 - 21*n**2 + 11*n
Let i(p) = -p**3 + p**2 + 1. Let w(v) = -5 + 8 - 11172*v + 11173*v - 14*v**3 + 3*v**2. Give 3*i(g) - w(g).
11*g**3 - g
Let p(w) = -51*w**3 - w - 5. Let m(o) = -26*o**3 - o - 3. Suppose 116*s - 103 + 265 = -186. Give s*p(v) + 5*m(v).
23*v**3 - 2*v
Let v(p) be the third derivative of p**4/12 + 2*p**3/3 - p**2 + 2651*p. Let x(k) = -k - 3. Determine 4*v(r) + 5*x(r).
3*r + 1
Let c(v) = -27*v + 5. Let i(q) = -248*q + 64 - 116*q + 12*q. Calculate -64*c(w) + 5*i(w).
-32*w
Let f be -4 - 4*3/(-6). Let z(o) = -o**2 + 13*o - 9. Let b(a) be the first derivative of 3*a**2/2 - 2*a - 313. Let u be 7/21*27/1. Determine f*z(k) + u*b(k).
2*k**2 + k
Let u(f) = f + 14. Let q(v) = -5*v - 48. What is 4*q(n) + 11*u(n)?
-9*n - 38
Let w(b) = 25447*b**2 + 24*b. Let f(p) = 15641424*p**2 + 14751*p. Give -8*f(r) + 4917*w(r).
-8493*r**2
Let y(t) = -6*t - 36. Let z(l) = l + 5. Suppose p + 7*w - 4 = -12, -w + 1 = 0. What is p*z(s) - 2*y(s)?
-3*s - 3
Let z(x) = -11*x + 10. Let q(c) = -5*c + 5. Let o be 14/(448/144)*8/(-6). Calculate o*z(l) + 13*q(l).
l + 5
Let o be (-126)/588*(-196)/42. Let t(z) = 4. Let u(c) be the second derivative of c**3/6 - c**2/2 - 2*c. Calculate o*t(p) + 2*u(p).
2*p + 2
Suppose -2*j - 11 = 5. Let g(k) = -k**2 - k + 1. Let o(u) = 10*u**2 + 8*u - 6. Suppose -16 = -28*f + 32*f + 3*m, -m - 4 = 0. Give f*o(h) + j*g(h).
-2*h**2 - 2
Let u(j) = -7*j**3 + 41*j**2 + 12*j - 5. Let b(k) = -6*k**3 + 33*k**2 + 12*k - 3. Determine 5*b(v) - 4*u(v).
-2*v**3 + v**2 + 12*v + 5
Let w(t) = -27*t**3 + 5*t**2 + 5*t - 5. Let z(l) be the first derivative of 27*l**4/4 - 2*l**3 - 3*l**2 + 6*l - 4381. What is -6*w(a) - 5*z(a)?
27*a**3
Let r(a) = 55*a**3 + 10*a**2 + 79*a - 7. Let g(d) = -28*d**3 - 6*d**2 - 39*d + 4. Give 7*g(b) + 4*r(b).
24*b**3 - 2*b**2 + 43*b
Let r = 4591 + -4588. Let h(l) = -23*l**3 + 2*l**2 + 2. Let p(v) = -23*v**3 + 3*v**2 + 3. What is r*h(n) - 2*p(n)?
-23*n**3
Let t(b) = -12*b**3 - 3*b**2 - 3. Let i(k) = -84*k**3 - 20*k**2 - 20. Suppose -6*a - 233 - 7 = 0. Calculate a*t(m) + 6*i(m).
-24*m**3
Let c(a) = 67*a - 29. Let y(f) = 31*f - 13. Let z(m) = 6*c(m) - 13*y(m). Let n(w) = 2*w + 5. Give -4*n(b) - 3*z(b).
-5*b - 5
Let y(n) = 19*n**3 - 8*n**2 - 8*n - 1. Let o(j) = -j**2 - 24*j + 648. Let s be o(16). Let q(m) = -13*m**3 + 5*m**2 + 5*m + 1. Determine s*q(a) + 5*y(a).
-9*a**3 + 3
Suppose 3*f - 36 + 6 = 3*x, 18 = -3*x - f. Let c(n) = 4*n**3 + 7. Let h(a) = -2 + 2*a**3 - 195838*a**2 + 6 + 195838*a**2. What is x*h(k) + 4*c(k)?
2*k**3
Let s(d) = d**2 - 25. Let l(c) = 8*c**2 + 3*c - 58. What is l(b) - 2*s(b)?
6*b**2 + 3*b - 8
Let d(g) = -7*g**3 + 11*g. Let p = -686 - -692. Let s(u) = -4*u**3 + 6*u. Determine p*d(a) - 11*s(a).
2*a**3
Let r(y) = 19*y + 14. Let l(t) = 8*t - 3 + 7*t - 22*t + 3*t. Calculate 11*l(w) + 2*r(w).
-6*w - 5
Suppose 0 = -4*z + 13 + 79. Suppose -z*x + 30 = -8*x. Let h(a) = a**3 - a**2 + 2*a. Let t(j) = j**3 + j**2 - j. Calculate x*t(y) + h(y).
3*y**3 + y**2
Let q(v) = 8*v**2 - 13*v + 2. Let z(p) = p**2 - 3*p + 4. Determine -q(f) + 5*z(f).
-3*f**2 - 2*f + 18
Let k(p) = p**3 + p**2 - p. Let c(q) = q**3 - 4*q**2 - 24*q + 95. Let w be c(4). Let b(z) = 6*z**3 - 2*z**2 + 2*z - 3. Determine w*b(u) - 2*k(u).
-8*u**3 + 3
Let x(d) be the third derivative of d**4/12 - d**3/6 + 12261*d**2. Let u(r) = -4*r + 2. Suppose -3*i = -3*l - 6, l - i + 2*i = -4. What is l*u(b) - 7*x(b)?
-2*b + 1
Let p(z) = 3*z - 20. Let l be p(5). Let o(k) = 7*k**2. Let a(x) = 4*x**2 - 25. Let m(f) = -f**2 + 5. Let y(h) = a(h) + 5*m(h). Calculate l*o(t) - 40*y(t).
5*t**2
Let b(x) = -9*x**3 - 2*x**2 + 2*x - 1. Let j(z) = 43*z**3 + 10*z**2 - 9*z + 4. Calculate 11*b(y) + 2*j(y).
-13*y**3 - 2*y**2 + 4*y - 3
Let t(s) = -6*s**2 - 15*s - 2. Let d(y) = 37*y**2 - 71*y + 4. Let x(p) = 17*p**2 - 30*p + 2. Let m(a) = 4*d(a) - 9*x(a). What is 5*m(n) - 4*t(n)?
-n**2 - 10*n - 2
Let x(r) = 7*r - 19. Let u = 116 - 77. Let t(h) = h - 3. Suppose -5*a - 8*b + 9*b = 26, -2*a = -4*b - 4. Calculate a*x(s) + u*t(s).
-3*s - 3
Let a be (-720)/(-688) - (164/(-172) - -1). Let x(r) = -r + 1. Let k(y) = 3*y - 6. Let h(m) = -3*m + 7. Let f(b) = -4*h(b) - 5*k(b). Give a*f(j) - 4*x(j).
j - 2
Let u be 1*14/21*(-6)/(-4). Let k(i) = i + 1. Let h(m) be the first derivative of -5*m**2/2 - 4*m - 79. Give u*h(r) + 2*k(r).
-3*r - 2
Let b(n) = -119 + 59*n - 278 + 394. Let j(t) = -176*t + 8. Determine 8*b(r) + 3*j(r).
-56*r
Let a(k) = -2*k**3 + 4*k**2 - 8. Let y(l) be the second derivative of -l**5/20 + l**4/6 - 2*l**2 - l. Let v = -211932 - -211938. What is v*a(s) - 13*y(s)?
s**3 - 2*s**2 + 4
Let v(s) = 2*s**3 + s. Let o(p) = p**3 - p. Let i = 72246 - 72247. Let d(n) = -n + 2 + 0*n + 2*n. Let j be d(-3). What is i*v(m) + j*o(m)?
-3*m**3
Let t(v) = 3*v + 250. Let d(j) = 3*j + 253. Calculate -5*d(s) + 6*t(s).
3*s + 235
Let x(i) = -1000*i**2 + 10*i - 50. Let d(m) = 500*m**2 - 4*m + 20. Determine 5*d(w) + 2*x(w).
500*w**2
Let z(j) be the first derivative of -j**2 + 10*j + 231. Let k(r) = -2*r + 11. What is 4*k(l) - 5*z(l)?
2*l - 6
Let f(w) = -2*w + 2*w**3 + 3*w**2 - 116 + 152 - 118 + 80. Let b(g) = -6*g**3 - 9*g**2 + 6*g + 6. What is -3*b(t) - 8*f(t)?
2*t**3 + 3*t**2 - 2*t - 2
Let v(g) be the third derivative of g**6/120 + g**5/15 - 7*g**3/6 - 164*g**2 - 5. Let d(l) = 2*l**2 - 3. Calculate -9*d(a) + 4*v(a).
4*a**3 - 2*a**2 - 1
Let s(x) = 16*x. Let d(q) be the third derivative of q**5/15 + 6*q**3 + 4*q**2. Let w(v) be the first derivative of d(v). Give -6*s(n) + 13*w(n).
8*n
Let r(g) = -5*g**2 - g + 3. Let w(c) = -54*c**2 - 18*c - 330. Determine 11*r(v) - w(v).
-v**2 + 7*v + 363
Let v(a) be the first derivative of -181 - 2*a + 306 + a - 199. Let d(l) = -3*l**3 - 3. What is d(w) - 3*v(w)?
-3*w**3
Let m(o) = o**2 + o + 24. Let y(z) = 7*z**2 + 5*z + 98. Let h(f) = 4*m(f) - y(f). Let j(q) = -4*q**2 - 2*q - 3. What is -3*h(v) + 2*j(v)?
v**2 - v
Let w(x) = 3*x**2 - 4. Suppose 2*d - 10 = -2. Let y(r) = r - 7*r**2 + d + 9 - 4. Calculate -5*w(t) - 2*y(t).
-t**2 - 2*t + 2
Let l(x) = -4*x**3 - x**2 - 2*x. Let q(u) = u**3 + 2*u**2 + u. Let t be q(-2). Let g = -39626 + 39623. Let d(b) = 5*b**3 + 3*b. Give g*l(p) + t*d(p).
2*p**3 + 3*p**2
Let s(h) be the first derivative of -h**3 - 10*h**2 + h - 642. Let v(l) = -l**2 - l + 1. Determine -s(t) + v(t).
2*t**2 + 19*t
Let w(l) = 4*l**3 - 104*l**2 - 4*l - 1. Let b(n) = 3*n**3 + n**2 - n. What is -3*b(g) + w(g)?
-5*g**3 - 107*g**2 - g - 1
Suppose 0 = 4*b + 5*s + 16, 4*s - 1 = 4*b + 15. Let h(c) = -c - 1. Let w(z) = 25*z - 11*z - 7*z + 2 - 5*z. What is b*w(p) - 7*h(p)?
-p | {
"pile_set_name": "DM Mathematics"
} |
670
How many minutes are there between 12:28 PM and 5:02 PM?
274
What is 445 minutes before 8:45 AM?
1:20 AM
How many minutes are there between 9:59 AM and 9:17 PM?
678
What is 467 minutes before 11:05 PM?
3:18 PM
What is 678 minutes after 1:42 PM?
1:00 AM
What is 149 minutes after 6:33 AM?
9:02 AM
How many minutes are there between 5:28 AM and 9:58 AM?
270
How many minutes are there between 4:56 PM and 2:16 AM?
560
What is 237 minutes after 7:39 PM?
11:36 PM
How many minutes are there between 12:47 AM and 10:36 AM?
589
What is 468 minutes after 9:40 PM?
5:28 AM
What is 39 minutes after 8:24 PM?
9:03 PM
What is 167 minutes before 11:02 PM?
8:15 PM
What is 123 minutes before 3:11 AM?
1:08 AM
How many minutes are there between 3:02 AM and 4:39 AM?
97
What is 514 minutes before 2:11 AM?
5:37 PM
What is 480 minutes after 10:54 PM?
6:54 AM
How many minutes are there between 11:22 PM and 9:19 AM?
597
How many minutes are there between 12:31 AM and 12:35 AM?
4
What is 41 minutes after 5:26 PM?
6:07 PM
How many minutes are there between 2:54 PM and 11:06 PM?
492
How many minutes are there between 2:18 AM and 7:31 AM?
313
What is 703 minutes after 12:55 AM?
12:38 PM
How many minutes are there between 9:30 PM and 10:08 PM?
38
What is 274 minutes after 5:18 AM?
9:52 AM
What is 448 minutes before 10:47 AM?
3:19 AM
How many minutes are there between 5:42 PM and 6:44 PM?
62
What is 341 minutes before 11:51 AM?
6:10 AM
What is 341 minutes after 4:02 PM?
9:43 PM
What is 9 minutes before 7:14 PM?
7:05 PM
What is 669 minutes before 7:09 AM?
8:00 PM
How many minutes are there between 3:39 PM and 12:38 AM?
539
How many minutes are there between 7:52 PM and 8:32 PM?
40
What is 410 minutes after 11:37 AM?
6:27 PM
How many minutes are there between 12:51 PM and 12:28 AM?
697
How many minutes are there between 11:11 AM and 5:51 PM?
400
How many minutes are there between 7:33 PM and 5:28 AM?
595
What is 231 minutes after 8:40 PM?
12:31 AM
What is 628 minutes after 2:56 PM?
1:24 AM
What is 583 minutes before 10:48 AM?
1:05 AM
How many minutes are there between 9:48 PM and 8:18 AM?
630
What is 457 minutes before 8:04 PM?
12:27 PM
How many minutes are there between 7:20 AM and 3:10 PM?
470
How many minutes are there between 2:58 PM and 4:09 PM?
71
What is 470 minutes before 7:02 PM?
11:12 AM
What is 6 minutes before 2:31 AM?
2:25 AM
What is 89 minutes after 10:04 PM?
11:33 PM
How many minutes are there between 8:15 AM and 12:27 PM?
252
What is 9 minutes before 11:52 AM?
11:43 AM
What is 508 minutes after 3:43 PM?
12:11 AM
What is 490 minutes after 4:41 AM?
12:51 PM
How many minutes are there between 1:50 PM and 1:34 AM?
704
How many minutes are there between 1:43 AM and 3:58 AM?
135
How many minutes are there between 10:46 PM and 6:48 AM?
482
How many minutes are there between 10:48 PM and 6:42 AM?
474
How many minutes are there between 11:06 PM and 5:33 AM?
387
What is 704 minutes before 11:54 PM?
12:10 PM
What is 491 minutes after 9:15 PM?
5:26 AM
What is 293 minutes before 7:56 PM?
3:03 PM
How many minutes are there between 8:03 PM and 11:26 PM?
203
What is 446 minutes before 2:43 AM?
7:17 PM
What is 408 minutes before 5:59 PM?
11:11 AM
How many minutes are there between 1:22 PM and 11:17 PM?
595
How many minutes are there between 6:57 AM and 11:40 AM?
283
How many minutes are there between 2:48 PM and 6:52 PM?
244
How many minutes are there between 7:22 PM and 8:02 PM?
40
How many minutes are there between 3:15 PM and 7:28 PM?
253
What is 631 minutes before 6:24 AM?
7:53 PM
What is 127 minutes after 12:20 PM?
2:27 PM
What is 481 minutes after 10:38 AM?
6:39 PM
How many minutes are there between 2:03 PM and 4:00 PM?
117
What is 342 minutes after 2:46 AM?
8:28 AM
What is 399 minutes before 12:45 PM?
6:06 AM
How many minutes are there between 3:16 PM and 10:54 PM?
458
What is 558 minutes before 6:27 PM?
9:09 AM
What is 524 minutes after 5:21 PM?
2:05 AM
How many minutes are there between 5:13 PM and 1:21 AM?
488
How many minutes are there between 10:21 PM and 5:15 AM?
414
How many minutes are there between 8:40 AM and 10:30 AM?
110
What is 628 minutes after 6:40 AM?
5:08 PM
What is 35 minutes after 9:25 AM?
10:00 AM
How many minutes are there between 12:30 AM and 3:36 AM?
186
How many minutes are there between 12:21 PM and 9:54 PM?
573
What is 172 minutes after 1:22 AM?
4:14 AM
What is 305 minutes before 8:54 AM?
3:49 AM
How many minutes are there between 9:48 AM and 6:04 PM?
496
What is 260 minutes before 10:43 AM?
6:23 AM
What is 292 minutes before 4:38 AM?
11:46 PM
What is 152 minutes after 12:07 AM?
2:39 AM
What is 418 minutes before 2:09 AM?
7:11 PM
What is 130 minutes before 11:40 AM?
9:30 AM
What is 250 minutes before 1:47 PM?
9:37 AM
What is 88 minutes before 4:30 PM?
3:02 PM
What is 137 minutes before 5:41 PM?
3:24 PM
How many minutes are there between 2:58 PM and 8:29 PM?
331
How many minutes are there between 5:56 PM and 10:21 PM?
265
How many minutes are there between 8:33 AM and 4:10 PM?
457
How many minutes are there between 6:07 AM and 1:15 PM?
428
How many minutes are there between 1:53 PM and 4:40 PM?
167
How many minutes are there between 12:20 AM and 8:54 AM?
514
What is 714 minutes after 2:18 AM?
2:12 PM
How many minutes are there between 7:52 PM and 5:10 AM?
558
What is 568 minutes before 8:41 AM?
11:13 PM
How many minutes are there between 1:30 PM and 4:08 PM?
158
What is 420 minutes before 6:20 AM?
11:20 PM
What is 141 minutes after 7:40 PM?
10:01 PM
How many minutes are there between 7:11 AM and 7:52 AM?
41
How many minutes are there between 11:50 AM and 11:11 PM?
681
How many minutes are there between 6:37 PM and 9:16 PM?
159
What is 406 minutes before 7:12 AM?
12:26 AM
How many minutes are there between 2:50 PM and 8:34 PM?
344
What is 132 minutes after 4:43 PM?
6:55 PM
How many minutes are there between 1:34 PM and 11:12 PM?
578
How many minutes are there between 3:02 AM and 6:17 AM?
195
How many minutes are there between 9:50 PM and 12:24 AM?
154
How many minutes are there between 7:17 AM and 3:18 PM?
481
How many minutes are there between 10:02 AM and 12:19 PM?
137
How many minutes are there between 4:12 PM and 12:35 AM?
503
How many minutes are there between 11:17 PM and 4:10 AM?
293
What is 372 minutes before 11:01 AM?
4:49 AM
What is 166 minutes after 12:37 AM?
3:23 AM
What is 391 minutes before 11:06 PM?
4:35 PM
How many minutes are there between 4:29 PM and 9:33 PM?
304
How many minutes are there between 8:10 AM and 5:29 PM?
559
What is 474 minutes before 10:40 PM?
2:46 PM
What is 283 minutes before 11:45 PM?
7:02 PM
What is 576 minutes before 3:20 PM?
5:44 AM
What is 77 minutes after 1:00 AM?
2:17 AM
How many minutes are there between 3:48 AM and 1:40 PM?
592
How many minutes are there between 11:11 PM and 4:33 AM?
322
How many minutes are there between 4:16 AM and 10:55 AM?
399
How many minutes are there between 7:17 PM and 6:39 AM?
682
What is 97 minutes after 1:49 AM?
3:26 AM
What is 492 minutes before 4:17 PM?
8:05 AM
How many minutes are there between 9:56 AM and 10:10 AM?
14
What is 127 minutes after 9:14 PM?
11:21 PM
What is 491 minutes after 6:46 PM?
2:57 AM
What is 445 minutes before 4:02 AM?
8:37 PM
What is 662 minutes after 8:21 AM?
7:23 PM
How many minutes are there between 1:40 PM and 4:20 PM?
160
How many minutes are there between 8:42 AM and 3:41 PM?
419
How many minutes are there between 9:26 AM and 2:31 PM?
305
How many minutes are there between 2:23 AM and 6:27 AM?
244
What is 573 minutes before 5:04 PM?
7:31 AM
What is 171 minutes before 12:28 PM?
9:37 AM
How many minutes are there between 9:28 PM and 10:17 PM?
49
How many minutes are there between 2:59 PM and 2:43 AM?
704
What is 655 minutes before 8:26 PM?
9:31 AM
What is 655 minutes before 2:05 PM?
3:10 AM
How many minutes are there between 11:14 PM and 11:04 AM?
710
How many minutes are there between 3:50 AM and 12:06 PM?
496
What is 691 minutes before 11:18 PM?
11:47 AM
What is 507 minutes before 9:21 PM?
12:54 PM
What is 243 minutes before 3:00 AM?
10:57 PM
How many minutes are there between 8:33 AM and 4:09 PM?
456
How many minutes are there between 10:00 PM and 9:00 AM?
660
What is 50 minutes after 10:41 PM?
11:31 PM
How many minutes are there between 4: | {
"pile_set_name": "DM Mathematics"
} |
a(h) = -h**3 + 15*h**2 - 12*h - 30. Give a(14).
-2
Let t(z) = z**2 + 7*z - 268. Calculate t(-20).
-8
Let y(q) = -q + 2. Calculate y(5).
-3
Let z(f) = f**2 + 13*f - 6. What is z(0)?
-6
Let u(c) = c**3 + 2*c**2 + 4*c + 5. Calculate u(-2).
-3
Let f(l) = l + 2. What is f(-15)?
-13
Let t(k) = 11*k - 7. Give t(7).
70
Let c(g) = 3*g**2 - 2*g - 4. What is c(-2)?
12
Let s(v) = -v**3 + 14*v**2 - 14*v + 34. Determine s(13).
21
Let y(d) = d - 3. Calculate y(-7).
-10
Let f(t) = -t**3 - 4*t**2 + 25*t + 7. What is f(-7)?
-21
Let y(c) = 5*c**2 - 97*c + 39. Give y(19).
1
Let j(b) = -55*b**2 + 2. Calculate j(-1).
-53
Let v(m) = m**2 - 23*m - 53. Calculate v(25).
-3
Let p(t) = t**3 - 12*t**2 - 12*t - 10. Determine p(13).
3
Let q(v) = -5*v**2 - 16*v + 5. Calculate q(-4).
-11
Let q(c) = 2*c - 9. Determine q(6).
3
Let u(n) = 3*n - 9. Determine u(4).
3
Let h(p) = -p**2 - 3*p + 11. Calculate h(-11).
-77
Let w(m) = -m + 5. Determine w(6).
-1
Let x(i) = 2*i - 14. Give x(7).
0
Let n(c) = -3*c - 16. Calculate n(-2).
-10
Let n(o) = o**3 + 5*o**2 - 3*o + 12. What is n(-6)?
-6
Let b(m) = -m**2 + 18*m - 24. What is b(14)?
32
Let b(v) = -20*v - 144. Calculate b(-8).
16
Let b(x) = x**2 + 2*x - 8. Determine b(-6).
16
Let f(s) = -s**3 - 51*s**2 - 50*s - 9. Determine f(-50).
-9
Let a(b) = b**2 + b - 1. What is a(2)?
5
Let h(d) = -d**2 - 2*d + 3. What is h(-3)?
0
Let y(n) = -n**3 - 4*n**2 + 2*n - 8. Determine y(-5).
7
Let m(z) = -8*z**3 - 2*z**2 - z. What is m(-1)?
7
Let q(t) = 23*t + 13. What is q(-1)?
-10
Let i(d) = -d**3 + 5*d**2 - 2*d - 23. What is i(7)?
-135
Let p(o) = o**2 - 3*o + 5. Give p(6).
23
Let q(k) = 3*k**2 + 16*k + 1. Calculate q(-5).
-4
Let j(h) = -h**3 - 6*h**2 - h + 7. Calculate j(-6).
13
Let f(m) = m**2 - 20*m + 3. What is f(19)?
-16
Let r(p) = -p**3 + 30*p**2 - 26*p - 81. Give r(29).
6
Let d(r) = 4*r**3 - 2*r + 1. Calculate d(1).
3
Let t(k) = 4*k + 205. Calculate t(-51).
1
Let a(x) = -x - 15. Calculate a(-7).
-8
Let b(d) = d**2 + 20*d + 52. Calculate b(-17).
1
Let o(m) = -m**3 + 7*m**2 - 3*m + 11. Give o(7).
-10
Let q(m) = m**3 + 10*m**2 + 4*m - 10. Determine q(-9).
35
Let t(o) = 12*o - 3. Give t(2).
21
Let k(t) = -t**2 + 3*t + 7. Determine k(-4).
-21
Let i(a) = -a - 7. Determine i(3).
-10
Let v(g) = -2*g**3 - 19*g**2 - 9*g - 7. Determine v(-9).
-7
Let m(b) = b**2 + 17*b + 51. What is m(-13)?
-1
Let l(w) = w**3 - 6*w**2 - 3*w + 7. What is l(6)?
-11
Let h(j) = -j**2 - 28*j - 79. What is h(-25)?
-4
Let w(x) = -x**3 - 4*x**2 + 6*x + 2. What is w(-4)?
-22
Let m(z) = -46*z + 751. Determine m(16).
15
Let m(y) = y**3 - 13*y**2 - 2*y + 22. Determine m(13).
-4
Let k(o) = o**3 + 7*o**2 + 15*o + 46. Give k(-6).
-8
Let s(t) = -9*t + 30. What is s(6)?
-24
Let o(w) = 2*w + 13. Give o(-13).
-13
Let z(b) = 10*b**3 + 2*b**2 - 4*b + 3. What is z(1)?
11
Let f(g) = g**2 - 2*g - 22. Determine f(5).
-7
Let s(z) = z**3 + 9*z**2 + 5*z - 7. Determine s(-8).
17
Let k(u) = 3*u**2 - 44*u + 20. Calculate k(14).
-8
Let r(v) = 12*v - 2. Determine r(3).
34
Let a(x) = x**2 + 23*x + 62. What is a(-20)?
2
Let n(d) = 6*d**2 + 2*d - 7. Calculate n(-3).
41
Let p(x) = -6*x + 7. Give p(-8).
55
Let q(z) = z**2 + 10*z - 5. Determine q(-10).
-5
Let x(r) = -7*r + 62. Determine x(9).
-1
Let n(s) = -5*s**2 + s - 2. Determine n(2).
-20
Let l(f) = 3*f**2 - 40*f + 12. Calculate l(12).
-36
Let f(z) = z**2 + 4*z - 9. Give f(-5).
-4
Let m(o) = -o**3 + 21*o**2 - 88*o - 36. Give m(15).
-6
Let d(i) = -i**2 - 21. Give d(-4).
-37
Let d(m) = m - 11. What is d(11)?
0
Let g(a) = a**2 + 11*a + 20. Calculate g(-7).
-8
Let s(r) = r**2 - 125*r - 786. Calculate s(-6).
0
Let x(c) = -3*c + 10. Determine x(10).
-20
Let o(j) = -j**2 + 19*j - 27. Give o(8).
61
Let r(m) = -2*m**2 - 11*m - 19. Calculate r(-10).
-109
Let i(n) = n**3 - 18*n**2 - 22*n + 52. Determine i(19).
-5
Let t(b) = -b**3 - 2*b**2 + 7*b - 5. What is t(-4)?
-1
Let o(h) = h**2 - 18*h - 35. What is o(20)?
5
Let p(s) = -s - 7. Calculate p(-6).
-1
Let x(j) = 88*j - 10. Determine x(1).
78
Let b(g) = g**2 - 6*g + 21. Give b(4).
13
Let p(u) = 3*u + 12. Determine p(-5).
-3
Let s(t) = 4*t**2 - 97*t + 28. What is s(24)?
4
Let j(b) = 2*b**2 + 9*b - 6. What is j(-5)?
-1
Let q(a) = -9*a + 18. What is q(3)?
-9
Let c(i) = i**3 - 5*i**2 - 3*i + 7. Determine c(5).
-8
Let q(p) = -p**2 - 2*p + 12. What is q(3)?
-3
Let a(m) = m**3 + 12*m**2 - 14*m - 12. Determine a(-13).
1
Let q(s) = 7*s**2 - 5*s - 7. Give q(-1).
5
Let z(h) = -40*h + 72. What is z(2)?
-8
Let n(j) = j**2 - 6*j - 12. Determine n(6).
-12
Let g(i) = -i**3 - 3*i**2 - 20*i - 62. What is g(-3)?
-2
Let v(x) = x**2 - 24*x - 76. Give v(26).
-24
Let a(m) = m - 9. What is a(18)?
9
Let h(m) = 11*m + 175. Give h(-15).
10
Let h(o) = -8*o - 4. Give h(-3).
20
Let o(s) = -19*s - 19. Give o(-5).
76
Let k(n) = 8*n. Calculate k(-5).
-40
Let p(r) = -2*r**3 - 3*r**2 - 6*r - 13. Give p(-4).
91
Let y(a) = -22*a**3 - 2*a**2 - a. Give y(-1).
21
Let b(h) = h**3 + 11*h**2 + 14*h - 34. What is b(-9)?
2
Let z(p) = -p**3 + 4*p**2 + 13*p - 45. Give z(5).
-5
Let x(q) = -84*q + 515. Calculate x(6).
11
Let f(t) = -t**2 - 3*t + 14. Calculate f(-6).
-4
Let w(y) = 3*y**3 + 2*y + 1. Calculate w(-1).
-4
Let i(x) = 18*x**3 - x**2. Calculate i(-1).
-19
Let f(w) = -25*w + 301. Determine f(12).
1
Let t(v) = -v**3 + 6*v**2 - 3*v + 11. What is t(6)?
-7
Let a(s) = -s**3 - 2*s**2 + 5*s + 4. What is a(-4)?
16
Let h(o) = o**2. What is h(0)?
0
Let d(h) = h**2 + 3*h + 3. Give d(-4).
7
Let p(y) = -y**3 + 23*y**2 - 24*y + 42. Determine p(22).
-2
Let d(f) = -f**2 - 17*f - 21. What is d(-14)?
21
Let a(s) = -s**3 - 13*s**2 + 31*s + 21. Give a(-15).
6
Let o(y) = 21*y - 5. Determine o(10).
205
Let q(d) = -d**3 + 19*d**2 + d - 29. Determine q(19).
-10
Let a(y) = y**3 + 10*y**2 - 10*y - 1. Give a(-12).
-169
Let o(v) = v**3 - 25*v**2 - 2*v + 29. Calculate o(25).
-21
Let t(o) = -2*o**3 + 26*o**2 - o + 18. Calculate t(13).
5
Let o(r) = 17*r - 300. Determine o(18).
6
Let f(b) = b - 18. Calculate f(13).
-5
Let g(u) = -u**3 + u + 63. Give g(0).
63
Let z(g) = -2*g**2 - 40*g - 180. What is z(-13)?
2
Let r(j) = j**3 - 11*j**2 - 9*j + 95. Determine r(11).
-4
Let d(h) = -h**2 + 32*h - 97. Determine d(30).
-37
Let x(i) = i - 3. What is x(-1)?
-4
Let o(l) = l**3 + 4*l**2 - 5*l + 2. What is o(-5)?
2
Let l(o) = -o**3 + o**2 - 62. Give l(0).
-62
Let m(w) = -2*w**3 - 96*w**2 + 98*w - 8. Calculate m(-49).
-8
Let v(b) = 12*b**2 - 203*b - 19. Give v(17).
-2
Let p(h) = h**3 - h**2 + 5*h + 2. Give p(-3).
-49
Let n(b) = -b - 12. Calculate n(-6).
-6
Let b(k) = 2*k**2 - 6*k + 20. Determine b(7).
76
Let o(d) = 2*d - 3. What is o(8)?
13
Let m(o) = -7*o - 38. Calculate m(-8).
18
Let k(n) = -n**2 - 9*n - 1. Determine k(-9).
-1
Let o(i) = -i**3 - 5*i**2 + i + 8. What is o(-4)?
-12
Let i(p) = p**3 + 25*p**2 - 2*p - 55. Give i(-25).
-5
Let p(s) = -s**3 - 8*s**2 + 2. Give p(-7).
-47
Let x(v) = 2*v + 3. Give x(6).
15
Let x(h) = -3*h - 12. Calculate x(13).
-51
Let x(c) = -c**2 - 22*c + 20. What is x(-20)?
60
Let p(v) = v**3 - v**2 + 7*v + 8. Give p(-3).
-49
Let c(a) = -7*a**2 + 2*a + 2. What is c(-1)?
-7
Let a(n) = -n - 17. Calculate a(4).
-21
Let u(f) = -10*f**2 + 6*f + 7. Give u(-1).
-9
Let h(x) = -3*x**3 + 2*x**2 + 3*x - 3. What is h(1)?
-1
Let w(b) = 9*b - 5. Calculate w(7).
58
Let w(g) = -2*g - 4. What is w(12)?
-28
Let c(y) = y**3 - 5*y**2 - 16*y - 6. Calculate c(7).
-20
Let i(m) = 3*m + 2. Determine i(0).
2
Let b(v) = -v**2 + 32*v - 239. What is b(19)?
8
Let x(m) = -m**3 + 13*m**2 + 48*m - 22. Calculate x(16).
-22
Let r(w) = 37*w - 626. Calculate r(17).
3
Let o(r) = 2*r - 15. Give o(9).
3
Let x(n) = -n**3 + 21*n**2 + 25*n - 18. What is x(22)?
48
Let i(o) = 17*o**3 + o. Calculate i(1).
18
Let i(s) = 11*s**2 - 56*s + 3. What is i(5)?
-2
Let q(m) = -5*m + 96. Give q(21).
-9
Let q(l) = -l**3 + 7*l**2 - 8*l + 5. Determine q(6).
-7
Let l(w) = -10*w - 142. Give l(-14).
-2
Let c(x) = x**2 + 26*x + 174. What is c(-14)?
6
Let i(o) = -4*o - 44. Calculate i(-11).
0
Let n(v) = -v**2 - 12*v + 13. Determine n(-14).
-15
Let f(i) = 4*i**3 - i - 1. Give f(-1).
-4
Let a(l) = -l**3 - 2*l**2 - 24*l + 54. Determine a(2).
-10
Let g(z) = z**3 - 11*z**2 + 8*z + 26. What is g(10)?
6
Let j(t) = 2*t**3 - t**2 + t + 1. What is j(-1)?
-3
Let u(z) = -2*z**2 + 5*z + 1. Give u(4).
-11
Let y(r) = -r**2 - 9*r + 3. What is y(-8)?
11
Le | {
"pile_set_name": "DM Mathematics"
} |
th root of 25312 to the nearest integer?
3
What is 778 to the power of 1/2, to the nearest integer?
28
What is 158060 to the power of 1/2, to the nearest integer?
398
What is the square root of 7631 to the nearest integer?
87
What is 6301 to the power of 1/2, to the nearest integer?
79
What is 6557 to the power of 1/5, to the nearest integer?
6
What is the ninth root of 182 to the nearest integer?
2
What is the cube root of 753 to the nearest integer?
9
What is 1159 to the power of 1/3, to the nearest integer?
11
What is the square root of 27948 to the nearest integer?
167
What is 12926 to the power of 1/3, to the nearest integer?
23
What is 12825 to the power of 1/2, to the nearest integer?
113
What is 2972 to the power of 1/3, to the nearest integer?
14
What is 2307 to the power of 1/2, to the nearest integer?
48
What is 8550 to the power of 1/2, to the nearest integer?
92
What is 15094 to the power of 1/3, to the nearest integer?
25
What is 344 to the power of 1/3, to the nearest integer?
7
What is 22 to the power of 1/10, to the nearest integer?
1
What is the third root of 3969 to the nearest integer?
16
What is 631 to the power of 1/2, to the nearest integer?
25
What is the eighth root of 760 to the nearest integer?
2
What is the third root of 607 to the nearest integer?
8
What is 1782 to the power of 1/2, to the nearest integer?
42
What is the cube root of 163562 to the nearest integer?
55
What is 890 to the power of 1/3, to the nearest integer?
10
What is 19066 to the power of 1/5, to the nearest integer?
7
What is the fifth root of 5828 to the nearest integer?
6
What is the cube root of 404 to the nearest integer?
7
What is the square root of 1800 to the nearest integer?
42
What is the sixth root of 435 to the nearest integer?
3
What is the square root of 8844 to the nearest integer?
94
What is the fourth root of 3827 to the nearest integer?
8
What is the cube root of 4628 to the nearest integer?
17
What is the cube root of 919 to the nearest integer?
10
What is 727 to the power of 1/4, to the nearest integer?
5
What is the seventh root of 1060 to the nearest integer?
3
What is 5725 to the power of 1/3, to the nearest integer?
18
What is 757 to the power of 1/3, to the nearest integer?
9
What is 1174 to the power of 1/2, to the nearest integer?
34
What is 3986 to the power of 1/2, to the nearest integer?
63
What is the tenth root of 135196 to the nearest integer?
3
What is 6802 to the power of 1/2, to the nearest integer?
82
What is the square root of 7739 to the nearest integer?
88
What is 17079 to the power of 1/10, to the nearest integer?
3
What is the third root of 12640 to the nearest integer?
23
What is the cube root of 2006 to the nearest integer?
13
What is 3118 to the power of 1/2, to the nearest integer?
56
What is the square root of 3948 to the nearest integer?
63
What is 22320 to the power of 1/8, to the nearest integer?
3
What is the sixth root of 7448 to the nearest integer?
4
What is 2959 to the power of 1/9, to the nearest integer?
2
What is the cube root of 139033 to the nearest integer?
52
What is 10929 to the power of 1/7, to the nearest integer?
4
What is 810 to the power of 1/2, to the nearest integer?
28
What is 19445 to the power of 1/10, to the nearest integer?
3
What is 827 to the power of 1/3, to the nearest integer?
9
What is 1369 to the power of 1/8, to the nearest integer?
2
What is 85742 to the power of 1/9, to the nearest integer?
4
What is the eighth root of 40466 to the nearest integer?
4
What is the ninth root of 59439 to the nearest integer?
3
What is the square root of 106751 to the nearest integer?
327
What is the cube root of 15161 to the nearest integer?
25
What is 46143 to the power of 1/2, to the nearest integer?
215
What is the third root of 5370 to the nearest integer?
18
What is the cube root of 101162 to the nearest integer?
47
What is 108 to the power of 1/3, to the nearest integer?
5
What is 1166 to the power of 1/2, to the nearest integer?
34
What is the cube root of 30906 to the nearest integer?
31
What is the third root of 45339 to the nearest integer?
36
What is the cube root of 811 to the nearest integer?
9
What is 17240 to the power of 1/7, to the nearest integer?
4
What is 12542 to the power of 1/5, to the nearest integer?
7
What is the fourth root of 1355 to the nearest integer?
6
What is 1027 to the power of 1/3, to the nearest integer?
10
What is 38886 to the power of 1/2, to the nearest integer?
197
What is the eighth root of 16888 to the nearest integer?
3
What is 120812 to the power of 1/9, to the nearest integer?
4
What is 9428 to the power of 1/2, to the nearest integer?
97
What is the ninth root of 4484 to the nearest integer?
3
What is the ninth root of 66855 to the nearest integer?
3
What is the square root of 7024 to the nearest integer?
84
What is 150053 to the power of 1/5, to the nearest integer?
11
What is 3795 to the power of 1/2, to the nearest integer?
62
What is 397 to the power of 1/2, to the nearest integer?
20
What is the square root of 26975 to the nearest integer?
164
What is 3723 to the power of 1/2, to the nearest integer?
61
What is 1012 to the power of 1/3, to the nearest integer?
10
What is the square root of 31 to the nearest integer?
6
What is the cube root of 1986 to the nearest integer?
13
What is the fifth root of 9502 to the nearest integer?
6
What is the third root of 17993 to the nearest integer?
26
What is the cube root of 737 to the nearest integer?
9
What is 5773 to the power of 1/5, to the nearest integer?
6
What is 5802 to the power of 1/2, to the nearest integer?
76
What is the square root of 8154 to the nearest integer?
90
What is 74465 to the power of 1/9, to the nearest integer?
3
What is 2107 to the power of 1/2, to the nearest integer?
46
What is 6597 to the power of 1/3, to the nearest integer?
19
What is the third root of 488 to the nearest integer?
8
What is the third root of 335 to the nearest integer?
7
What is 25446 to the power of 1/7, to the nearest integer?
4
What is the third root of 32917 to the nearest integer?
32
What is 763 to the power of 1/10, to the nearest integer?
2
What is 92808 to the power of 1/3, to the nearest integer?
45
What is the tenth root of 56196 to the nearest integer?
3
What is 4123 to the power of 1/6, to the nearest integer?
4
What is the fifth root of 101430 to the nearest integer?
10
What is the square root of 1937 to the nearest integer?
44
What is the third root of 4966 to the nearest integer?
17
What is the fourth root of 61 to the nearest integer?
3
What is the fourth root of 39507 to the nearest integer?
14
What is 1042 to the power of 1/10, to the nearest integer?
2
What is the eighth root of 8913 to the nearest integer?
3
What is the seventh root of 461 to the nearest integer?
2
What is the square root of 74 to the nearest integer?
9
What is the sixth root of 2524 to the nearest integer?
4
What is 10303 to the power of 1/2, to the nearest integer?
102
What is the sixth root of 2673 to the nearest integer?
4
What is the square root of 2435 to the nearest integer?
49
What is the eighth root of 4294 to the nearest integer?
3
What is the cube root of 1292 to the nearest integer?
11
What is the third root of 523 to the nearest integer?
8
What is the square root of 7889 to the nearest integer?
89
What is 77586 to the power of 1/2, to the nearest integer?
279
What is the fifth root of 1585 to the nearest integer?
4
What is 2028 to the power of 1/3, to the nearest integer?
13
What is the ninth root of 2536 to the nearest integer?
2
What is the seventh root of 8 to the nearest integer?
1
What is 208958 to the power of 1/4, to the nearest integer?
21
What is 63431 to the power of 1/2, to the nearest integer?
252
What is 9372 to the power of 1/2, to the nearest integer?
97
What is 118 to the power of 1/6, to the nearest integer?
2
What is 17289 to the power of 1/3, to the nearest integer?
26
What is the square root of 466 to the nearest integer?
22
What is the square root of 14133 to the nearest integer?
119
What is the eighth root of 641 to the nearest integer?
2
What is 74164 to the power of 1/2, to the nearest integer?
272
What is the square root of 125634 to the nearest integer?
354
What is 23 | {
"pile_set_name": "DM Mathematics"
} |
r**2 + 3*r**2 - 6*r**2)*(-r**2 + 4*r**2 - r**2) + 0*r**4 - 5*r**4 + 4*r**4 + 17*r**2 - 17*r**2 + 10*r**4 - 2*r**4 + 2*r**4 - r**4.
6*r**4
Expand (2*s**2 - 4*s + 4*s)*(31*s**2 - 29*s**2 - 7 + 6*s + 6).
4*s**4 + 12*s**3 - 2*s**2
Expand -7*y + 93*y**2 - y**3 - 93*y**2 + 4*y**3 - 2*y**3 - y**3 + (4*y**2 - 4*y**2 + 2*y**2)*(-2*y - 1 + 1) - 14*y**3 - 29*y**3 + 6*y**3.
-41*y**3 - 7*y
Expand (0*u - u + 3*u)*((-58*u**2 - 19*u**2 + 30*u**2)*(-3 + 0 + 0)*(0 - 5 + 3) + (-2 + 2 + 2)*(-u - u**2 + u)).
-568*u**3
Expand (0*k**2 + 12*k**4 + 0*k**2)*(0*k - k - 12 + 10).
-12*k**5 - 24*k**4
Expand -29*n**2 + 47*n**2 - 24*n**2 + (-2*n**2 + 3*n**2 - 2*n**2)*(0 - 2 + 0).
-4*n**2
Expand (-i**4 - 4*i**4 + i**4)*(11 - 107*i + 52*i + 56*i).
-4*i**5 - 44*i**4
Expand (y - 3*y + 4*y)*(-y + 3*y + 0*y)*(9*y**2 + 8739*y - 8739*y + y**3 - 2).
4*y**5 + 36*y**4 - 8*y**2
Expand (-52*n - 874 + 874)*(-2 + 2 - 1).
52*n
Expand -2*b + b**4 - b**3 + b**3 + (3*b**4 - 3*b**4 - 2*b**4)*(1 - 5 + 1)*(1 + 3 - 5).
-5*b**4 - 2*b
Expand (b**2 - 2*b**3 - b**2 + (-4*b**3 + 3*b**3 + 2*b**3)*(-5 + 2 + 0))*(-3*b**2 - 8*b + 8*b) + (-b**4 - 3*b**3 + 3*b**3)*(-5 + 5 - 2*b).
17*b**5
Expand (12*h - 8*h + 38*h)*(2*h - h + 0*h + (1 - 1 - 2*h)*(-2 - 2 + 2) - 23 + 23 + 7*h).
504*h**2
Expand (1 - 2 + 2)*(57*i**2 - 38 + 38).
57*i**2
Expand (-5 - 1 + 4)*(-5 + 4 + 3 + (0 - 3 + 2)*(-3 + 0 + 2) + 2 - 3 + 3 - 2 + 3 - 2 - 20 + 12 - 30)*(0*h + 2*h + 0*h).
136*h
Expand (29123 - 29123 + 151*c)*(-2*c**4 + 0*c**4 + 3*c**4).
151*c**5
Expand (-255*d**3 - 29*d**5 + 255*d**3)*(-3 + 0 - 3).
174*d**5
Expand (3*q + q - 2*q)*(-1 + 1 - 2*q) + (5*q**2 + 2*q**2 + 9*q**2)*(3 - 3 - 1) + (-6 + 3 + 2)*(2*q**2 + 2*q**2 - 5*q**2).
-19*q**2
Expand (0 + 9 - 2 + 3)*(-17*t - 9*t + 9*t).
-170*t
Expand (2*z + 0 + 0)*(3*z + 2*z - 3*z) + 37*z**2 + 59*z**2 + 4*z**2.
104*z**2
Expand -m + 3*m + 0*m + (2*m + m + 2*m)*(0 + 1 - 3) + (-4*m + 3*m + 4*m)*(1 - 2 - 2).
-17*m
Expand (-4*m**2 + 16*m**2 - 4*m + 5*m)*(5*m**3 - 29*m**3 + 11*m**3).
-156*m**5 - 13*m**4
Expand (4*k + k - 7*k)*(367*k**4 - 15 + 14 + 205*k**4).
-1144*k**5 + 2*k
Expand (-6*b**2 - 8*b + 8*b)*(-5 + 0 - 1 + (-2 + 0 + 1)*(-2 + 1 - 1)).
24*b**2
Expand (3*r - 3*r + 3*r)*(-106*r + 325 - 325)*(0*r + 2*r - 3*r).
318*r**3
Expand (34*h - 6*h + 45*h)*(5 - 5 - h**2) + (-7*h + 1 + 4*h + 2*h)*(3*h - 5*h + 3*h**2 + h**2).
-77*h**3 + 6*h**2 - 2*h
Expand (3*n - 4*n + 0*n)*(12 + 110*n - 11 + 5*n).
-115*n**2 - n
Expand (-2*x + 0*x + 0*x)*(-x + 0*x - 9*x)*(2 + 6 - 3)*(-7 + 7 - 3*x).
-300*x**3
Expand (-12*s - 5 + 5)*(-s**2 + 26*s**4 - 2*s**2 + s**2) + (-2*s - s + 4*s)*(3*s**3 - 3*s**3 - 2*s**4) - s**5 - s**4 + s**4 - 2*s**5 + 0*s**2 + 0*s**2.
-317*s**5 + 24*s**3
Expand (-19 - 21 - 16)*(-3 + 3*c**2 + 6 - 2).
-168*c**2 - 56
Expand (132 - 194 + 2*q**2 - 3*q + 96)*(0*q + 2*q - 3*q).
-2*q**3 + 3*q**2 - 34*q
Expand (4 - 1 - 5)*(0 - 1 - 1)*(-84*k - k**3 + 84*k).
-4*k**3
Expand (-1 + 1 + 1)*(-2*k**4 - 2*k**4 - k**4) + 55*k**4 - 107*k**4 - 29*k**4.
-86*k**4
Expand (-2*t + 0*t + 0*t)*(290*t - 377*t + 395*t + 376*t).
-1368*t**2
Expand (14 + 64 + 94 + (1 + 0 - 4)*(4 - 6 + 3) - 1 - 3 + 5)*(k**2 + 2*k**2 - 4*k**2)*(2*k + 0*k + 0*k).
-340*k**3
Expand 3 + 2*i**2 - 3 + i**2 - 2*i**2 - 5*i**2 + (0*i**2 - 9*i**2 - i**2)*(3 - 3 - 2) + (2 - 2 + 2*i)*(-i + i + 2*i).
20*i**2
Expand -385*o - 2 - 101*o**2 + 385*o + 0 - 2*o**2 + 0 + (-2*o - 2*o + 5*o)*(2*o - 2*o - 2*o).
-105*o**2 - 2
Expand (-2*m - 2*m + 2*m - m + m + 2*m + (0*m - m - m)*(1 + 5 - 3) + 4*m - m - 2*m + 2*m + 2*m - m)*(-2 + 3*m**2 + 2).
-6*m**3
Expand (s**3 + s**3 - 3*s**3)*(-570 + 1398 - 684).
-144*s**3
Expand -14*x**4 + 5*x**4 - 2*x**4 + (-x**4 + x - x)*(1 - 1 - 1) + (0 - 3*x**2 + 0)*(-2*x**2 - 5*x + 5*x).
-4*x**4
Expand (0*k - k - 7*k)*(-2*k + 4 - 4)*(242 - 242 - 7*k).
-112*k**3
Expand -5*i**5 - i**5 + 10*i**3 + 4*i**5 - 3*i**5 + 3*i**5 + i**5 + (0*i + 0*i - i)*(-5*i**4 + 10*i**4 + 2*i**4).
-8*i**5 + 10*i**3
Expand (-11*n**2 + 0*n**4 + 335*n**3 - n**4 - 334*n**3)*(-n + 3 - 3).
n**5 - n**4 + 11*n**3
Expand -19*i**5 + 7*i**5 - 3*i**5 + (2*i**4 - i**4 + i**4)*(-3 + 2*i + 3).
-11*i**5
Expand (80*x - 21 - 81*x - 32)*(-3*x**3 + 2*x**3 + 3*x**3).
-2*x**4 - 106*x**3
Expand (24*p**2 - 24*p**2 + 3*p**4)*(-7 + 2 + 4)*(1 - 1 + 2*p).
-6*p**5
Expand (-19 + 19 - 3*h)*(0 - 5 + 0)*(0*h**4 + 2*h**4 - 4*h**4) + h**5 - 3*h**5 + h**5.
-31*h**5
Expand (5*w**2 + 3576*w + 3 + w**2 - 12*w**3 - 3575*w)*(-3*w + 2*w + 2*w).
-12*w**4 + 6*w**3 + w**2 + 3*w
Expand (-j**2 - 4*j**2 + 4*j**2)*(-j - 2*j + 4*j) + 35*j + 5*j**3 - 19*j + 5*j.
4*j**3 + 21*j
Expand (4 - 3 - 3)*(2*w - 2*w + w**3) - 2*w - 2565*w**3 + 31 - w**2 + 3 + 2564*w**3.
-3*w**3 - w**2 - 2*w + 34
Expand (-1 - 1 + 38 + 6)*(-36*d - 4*d - 5*d).
-1890*d
Expand (-6*k + k + 4*k)*(2 + 1 - 5) - 6*k + 13*k - 22 - 2*k.
7*k - 22
Expand ((-4 - 3 + 3)*(15 + 12*z**2 - 15) + 2*z**2 - z**2 + 0*z**2)*((4*z - 4*z - 2*z)*(1 + 1 - 1) + 18 - 18 - 5*z).
329*z**3
Expand (4*t - 21*t + 14*t)*(-2*t**4 + 10 + 4*t - 10).
6*t**5 - 12*t**2
Expand (10*f + 2*f**2 - 10*f)*(-3*f**2 - 3*f**2 + 0*f**2 + (4 + f - 4)*(-1 - f + 1)).
-14*f**4
Expand (-2 - 12 - 19*a**5 + 20*a**5)*(2 + 2 - 2)*(-1 - 3 + 5 + (-4 + 3 - 1)*(2 - 3 - 1) + 4 - 5 + 0 - 2 + 1 - 1).
4*a**5 - 56
Expand (0*z - 2*z**2 + 0*z)*(3*z**3 + 3*z**3 - 4*z**3) - 31*z**5 - 469*z - 5*z**4 + 814*z - 350*z.
-35*z**5 - 5*z**4 - 5*z
Expand -5*r**2 - 5*r**2 + 2*r**2 + (-5*r - r + 2*r)*(r + 5 - 3*r + 3*r).
-12*r**2 - 20*r
Expand (-1 + 1 + 4)*(-2 - 1 + 5)*(x**3 - x**2 + x**2).
8*x**3
Expand (-3*l + 4*l + l + (3 - 4 - 1)*(5 - 5 - 2*l))*(56*l**3 + 42*l**3 - 32*l**3).
396*l**4
Expand 6*l**3 - 8*l**3 + 11*l - 6*l - 2*l**5 + (l + 4 - 4)*(3 - 3 - 5)*(-2*l**4 - 5*l + 5*l).
8*l**5 - 2*l**3 + 5*l
Expand (-3 - 2*z + 3)*(-4 + 4 - z**2) + 374*z**3 - 434*z**3 + 302*z**3 + z - z + z**3.
245*z**3
Expand (62*g - 36*g - 29*g)*(-1 + 2 + 0) + (1 + 2 - 5)*(-g - 3 + 3).
-g
Expand -6*x + 29*x + 39*x + (-3*x + 2*x + 0*x)*(-4 + 0 + 3).
63*x
Expand (0*n - 5*n + n + (-1 + 3*n - n - 3*n)*(-3 + 1 - 3))*(-4*n + 6*n + n).
3*n**2 + 15*n
Expand (6 - 6 - 3)*(4*z + 3*z + 9*z)*(0 + 2 + 0).
-96*z
Expand ((2 - 5 + 4)*(3*s - 5*s + 0*s) + (-25 - 3 + 3)*(0*s + 0*s - 2*s))*(3 - 1 - 1).
48*s
Expand (-824 - 42*t**2 + 824)*(2*t**2 - 5*t**2 + 0*t**2 + (t - 3*t + t)*(4 + 2*t - 4) + 2*t**2 + 4*t**2 - 5*t**2).
168*t**4
Expand (k**3 - 2*k**3 + 0*k**3)*(1 - 1 - 1)*(4 + 0 + 1)*(6 + 5*k - 6).
25*k**4
Expand (19 - 19 + 10*v**2)*(2*v + 2*v - 2*v)*(28 - 9*v**2 - 28).
-180*v**5
Expand (3*r**4 + 4 - 4)*(34*r - 27*r - 1 - 62*r).
-165*r**5 - 3*r**4
Expand (-3*r**2 + 3*r**2 - 2*r**2)*(-3*r + 3*r + r**2) - 8*r**3 + 4*r**4 + 8*r**3 + 2*r**4 + 2*r**4 - 3*r**4 + (-2*r**3 + 7*r**3 - 4*r**3)*(-1 + 1 + r).
4*r**4
Expand 0*u + u + u + (-36 + 77 + 32)*(u + 0 + 0).
75*u
Expand (-29491 + 29491 - 487*p)*(2*p + p - 4*p + 2).
487*p**2 - 974*p
Expand -689*b + 689*b - 8*b**5 + (4*b**2 - 2*b**2 + 0*b**2)*(-3*b**3 + 3*b**3 + b**3).
-6*b**5
Expand 23*c**5 - 10*c**5 - 5*c**5 + 0*c**5 - c**5 - c**5 + (-2 + c + 2)*(2*c**4 - 3*c**4 + 2*c**4) + 4*c**5 + 2*c**5 + 4*c**5 - 6*c + c**5 + 6*c.
18*c**5
Expand 3*i + 10*i + i + (-4 + 4 + 3)*(-3*i + i - i) + i - 5 + 5.
6*i
Expand (2 - 3 - 1)*(9*x**2 - 2*x**4 - 9*x**2) - 2 + 0 - 22*x**4 + 23*x**4 - 5*x.
5*x**4 - 5*x - 2
Expand (-98*l - 43*l - 153*l)*(5*l + l - 4*l).
-588*l**2
Expand (-19*t + 2*t**2 - 22*t**3 + 3*t**3 + 18*t)*(-4*t**2 + 4*t**2 + t**2).
-19*t**5 + 2*t**4 - t**3
Expand (-3*s**3 + 4*s**3 + 4*s**3)*(-s**2 + 3*s**2 - 4*s**2) + 8*s**5 + 3*s**5 + s**5 - 3*s**5 + 0*s**5 + 2*s**5 - s**5 + 4*s**5 - 2*s**5.
2*s**5
Expand 2*t**2 - 3*t**2 + 2*t**2 + (4 + 3 - 5)*(3*t**2 - 3*t**2 - t**2) + 9*t**2 - 3*t**2 + t**2 - t**2 + 2 - 2 + 7*t**2 - 3*t**2 - 2*t**2.
7*t**2
Expand (2*v**2 - 6*v**2 + 4*v**2 + 20*v**3)*(-8*v**2 + 17*v**2 + 0*v**2).
180*v**5
Expand -2*h**2 - 2*h**2 + 3*h**2 + (0*h - h - h)*(5*h - 2*h - h) - 2*h**2 - 2*h**2 + 0*h**2 - 2*h**2 - 2*h**2 - 19*h**2.
-32*h**2
Expand (3 + k + 1 - 2)*(5 - 97 - 7).
-99*k - 198
Expand -12*y**2 - 11*y**2 + 23*y**2 - 233*y**3 + (y + 5*y - 5*y)*(-3*y**2 + 0*y**2 + 5*y**2).
-231*y**3
Expand (138*j - 5*j - 79*j)*(-4*j**2 + j**2 + 2*j**2) + j**3 - j**2 + j**2.
-53*j**3
Expand (2 + 0 - 6)*(0 + 0 - h)*(0*h**3 + 0*h**3 - 4*h**3).
-16*h**4
Expand (1 + 1 + 0)*(-5 - 9 + 6)*(0 - 3*j + 0) + 2 + 2*j - 1 - 2.
50*j - 1
Expand (b - b + | {
"pile_set_name": "DM Mathematics"
} |
.
4, 0.4, -0.2, -618
Sort -21, -3, -15, 3, -2 in ascending order.
-21, -15, -3, -2, 3
Put -7, 66, -16, -1 in increasing order.
-16, -7, -1, 66
Sort -5, -4, 4, -9, -8 in descending order.
4, -4, -5, -8, -9
Sort 1.7, 3, -107 in descending order.
3, 1.7, -107
Put -2/13, -2.01, 0.4, 5/4 in increasing order.
-2.01, -2/13, 0.4, 5/4
Put 12, 2, 1, 3, 6 in descending order.
12, 6, 3, 2, 1
Sort -5, -2, 52, -10.
-10, -5, -2, 52
Put -5, -134, -9 in increasing order.
-134, -9, -5
Sort 15, -4, -5 in increasing order.
-5, -4, 15
Sort -5, 0, 415, 5 in ascending order.
-5, 0, 5, 415
Put -4, -59, 11 in ascending order.
-59, -4, 11
Sort -3, -2, 9, 5, -12 in descending order.
9, 5, -2, -3, -12
Put -5, 4, -71 in decreasing order.
4, -5, -71
Put 2/13, -1, -4/5, -0.6 in decreasing order.
2/13, -0.6, -4/5, -1
Put -2, -27, 2 in increasing order.
-27, -2, 2
Sort 6, 1/4, 378.
1/4, 6, 378
Sort 74, 90, -5 in decreasing order.
90, 74, -5
Sort 1/9, -11, 4, -0.4 in increasing order.
-11, -0.4, 1/9, 4
Sort -9, -6, -3.
-9, -6, -3
Put -3, 4, 26 in ascending order.
-3, 4, 26
Put 2/5, -0.1, 41, 0.2 in descending order.
41, 2/5, 0.2, -0.1
Sort -5/3, -2/7, -0.1, 134, -4/5 in ascending order.
-5/3, -4/5, -2/7, -0.1, 134
Sort -33, -2/9, 6 in increasing order.
-33, -2/9, 6
Sort -1, -5, -0.07, 171 in increasing order.
-5, -1, -0.07, 171
Sort -691, 3, 2.
-691, 2, 3
Put -2, 15, 91 in decreasing order.
91, 15, -2
Sort -4, -78, -6.
-78, -6, -4
Sort 2/5, -3, 44, -4/9 in decreasing order.
44, 2/5, -4/9, -3
Sort 3/4, 4, 14/5, -0.5, -2 in decreasing order.
4, 14/5, 3/4, -0.5, -2
Put -13, 0.1, -0.69 in descending order.
0.1, -0.69, -13
Sort -0.7, 0, -6 in decreasing order.
0, -0.7, -6
Put -3, 0.115, -4, 3, -5 in decreasing order.
3, 0.115, -3, -4, -5
Sort -7, 2, 0, -4, -5 in increasing order.
-7, -5, -4, 0, 2
Sort 5, 0, 1, -1.
-1, 0, 1, 5
Sort 17, -1, -5, -8 in increasing order.
-8, -5, -1, 17
Sort 4, -3, -19 in descending order.
4, -3, -19
Sort -30, -2, 3 in increasing order.
-30, -2, 3
Sort 11, -4, 1, -5 in decreasing order.
11, 1, -4, -5
Sort 0.4, -0.0352, -2.
-2, -0.0352, 0.4
Put 35, 0.1, 2/17 in decreasing order.
35, 2/17, 0.1
Sort -2, 1.9, -2/11, 2 in ascending order.
-2, -2/11, 1.9, 2
Put -5/6, 16, -40, 1 in descending order.
16, 1, -5/6, -40
Put -19, -0.1, -0.3 in decreasing order.
-0.1, -0.3, -19
Put -7, -6, 5, -1 in descending order.
5, -1, -6, -7
Sort -1, -1/3, -2, 2/11, -0.07 in descending order.
2/11, -0.07, -1/3, -1, -2
Put 2, 0.3, -48 in decreasing order.
2, 0.3, -48
Sort -23, 1, 4, -3 in decreasing order.
4, 1, -3, -23
Sort -159, 5, -4 in decreasing order.
5, -4, -159
Sort -1, 5/4, 1.6 in decreasing order.
1.6, 5/4, -1
Sort -5, -4, -3.
-5, -4, -3
Put -2, 3, -7 in descending order.
3, -2, -7
Put 2/13, 0.2, 6, -17/12 in decreasing order.
6, 0.2, 2/13, -17/12
Sort 86, 5, -2, 2.
-2, 2, 5, 86
Sort 31, -5, 5 in decreasing order.
31, 5, -5
Sort 108, -3, 5, -4.
-4, -3, 5, 108
Put -0.2, 2, 0.2, 20, 0 in decreasing order.
20, 2, 0.2, 0, -0.2
Sort -4, 2, 8 in ascending order.
-4, 2, 8
Sort 2/13, -397, 1, 0.3.
-397, 2/13, 0.3, 1
Put 4, 45, 1 in decreasing order.
45, 4, 1
Put -3606, 5, 1 in decreasing order.
5, 1, -3606
Sort -0.04, 9, 0.4, 1/3, 1/2 in decreasing order.
9, 1/2, 0.4, 1/3, -0.04
Sort -34, -1, -40, -5 in decreasing order.
-1, -5, -34, -40
Put -3, -1, -5, 4, 1 in descending order.
4, 1, -1, -3, -5
Put -6, -4, -2/11, -11, -1 in ascending order.
-11, -6, -4, -1, -2/11
Put 3, -2, -1, 2 in descending order.
3, 2, -1, -2
Put -1, 0.1, -1/3, 6/5 in ascending order.
-1, -1/3, 0.1, 6/5
Sort 4, -8, 1, -60.
-60, -8, 1, 4
Sort -6/41, -0.2, -0.1 in descending order.
-0.1, -6/41, -0.2
Sort 0.6, 5, 4 in descending order.
5, 4, 0.6
Sort -5, 3, -140 in ascending order.
-140, -5, 3
Sort 0, -47, -1 in ascending order.
-47, -1, 0
Put 5, 3, -4, -6 in ascending order.
-6, -4, 3, 5
Put 14, -2, -4 in ascending order.
-4, -2, 14
Put 12, 0.1, -3, 3/4 in ascending order.
-3, 0.1, 3/4, 12
Sort 0, 1, 12, -4.
-4, 0, 1, 12
Put 77, -1, -3 in ascending order.
-3, -1, 77
Sort 3, -4, -13, 1, -23.
-23, -13, -4, 1, 3
Put -0.52, 9/11, -5 in decreasing order.
9/11, -0.52, -5
Sort 0.011, -0.4, -5 in descending order.
0.011, -0.4, -5
Put 3, 5, -5, -2 in increasing order.
-5, -2, 3, 5
Sort -1/31, 10, 0.4.
-1/31, 0.4, 10
Put 1, 5, 4, 3/10, -0.4 in increasing order.
-0.4, 3/10, 1, 4, 5
Put -4, 1, 71 in ascending order.
-4, 1, 71
Sort -5, -9, -3, 2, 31 in descending order.
31, 2, -3, -5, -9
Put -474, 3, 1, 5 in increasing order.
-474, 1, 3, 5
Put -10, -2, 4, 6 in decreasing order.
6, 4, -2, -10
Sort 6, -12, -2.
-12, -2, 6
Sort -870, -4, 2, 4, -2 in decreasing order.
4, 2, -2, -4, -870
Sort -3, -4, -5, 0 in increasing order.
-5, -4, -3, 0
Put 0.3, -1, -4, -15/7 in descending order.
0.3, -1, -15/7, -4
Sort -4, 0.47, 1, -0.3, -0.03.
-4, -0.3, -0.03, 0.47, 1
Sort 0, 7, 1, 5 in decreasing order.
7, 5, 1, 0
Sort -14, -5, 0 in decreasing order.
0, -5, -14
Sort -2, -4, -9 in decreasing order.
-2, -4, -9
Sort -2, -5, 5, -1.
-5, -2, -1, 5
Sort 1, -29, 2, -1.
-29, -1, 1, 2
Sort -2/9, -3/5, 3, -2/5 in decreasing order.
3, -2/9, -2/5, -3/5
Sort -5, -375/2, 1 in increasing order.
-375/2, -5, 1
Put 27, 49, -2 in ascending order.
-2, 27, 49
Sort -93, 0, 1 in ascending order.
-93, 0, 1
Sort 0.08, 0.1, -1, 2/17 in descending order.
2/17, 0.1, 0.08, -1
Sort 7/5, 2/23, -1, -3/7 in descending order.
7/5, 2/23, -3/7, -1
Sort -3, -9, 5, -0.03.
-9, -3, -0.03, 5
Put 4, 0.095, 0, 2/7, -2/5 in decreasing order.
4, 2/7, 0.095, 0, -2/5
Put 2, -0.1, 3/13, 1 in descending order.
2, 1, 3/13, -0.1
Put -0.1, -2/11, 2/5, 0.1 in decreasing order.
2/5, 0.1, -0.1, -2/11
Put -4, -38, 2, -0.4, -1 in decreasing order.
2, -0.4, -1, -4, -38
Sort -4, -1, 4, -53.
-53, -4, -1, 4
Put -43, 4, -2 in descending order.
4, -2, -43
Put -12, -2, 0 in ascending order.
-12, -2, 0
Put -4, 1, 0, 33, -3 in descending order.
33, 1, 0, -3, -4
Sort 21, 85, 2 in decreasing order.
85, 21, 2
Put -16, 0.6, -0.3, 0.2, -1/4 in descending order.
0.6, 0.2, -1/4, -0.3, -16
Put -5, 3, -6 in descending order.
3, -5, -6
Sort 5, -0.17, 2/5, -0.1.
-0.17, -0.1, 2/5, 5
Sort 5, 166, 4, -1, 0.
-1, 0, 4, 5, 166
Sort -1/2, -2/5, -4, -106, 3.
-106, -4, -1/2, -2/5, 3
Sort -4, -2, 5, 759.
-4, -2, 5, 759
Sort 1, -325, 4, 5 in ascending order.
-325, 1, 4, 5
Sort 7, 5, 66 in increasing order.
5, 7, 66
Sort -7, -2, -4, -6, 3.
-7, -6, -4, -2, 3
Sort 13, 5, -2, 1.5, 0.1.
-2, 0.1, 1.5, 5, 13
Put 8, -0.3, -13, 1 in descending order.
8, 1, -0.3, -13
Put 2/13, 0, -629/2 in increasing order.
-629/2, 0, 2/13
Sort -9.88, 0.1, 3 in descending order.
3, 0.1, -9.88
Put 0.2, -13/2, 6/5, 0.6 in decreasing order.
6/5, 0.6, 0.2, -13/2
Sort -13, -17, 16 in decreasing order.
16, -13, -17
Put 1, 4, 24 in descending order.
24, 4, 1
Put -12, -3, -34 in increasing order.
-34, -12, -3
Put 239, -1, -4 in increasing order.
-4, -1, 239
Put 5, -5, -3, -63 in descending order.
5, -3, -5, -63
Put -0.078, 0.11, -3 in increasing order.
-3, -0.078, 0.11
Sort -49, -4, -3 in increasing order.
-49, -4, -3
Sort 25, 1, -5, 3 in descending order.
25, 3, 1, -5
Sort 6/7, 1, 1/18, 0, -0.3.
-0.3, 0, 1/18, 6/7, 1
Put -125, -1, 13 in decreasing order.
13, -1, -125
Sort -4, -2, -3, 19 in increasing order.
-4, -3, -2, 19
Put 0, -6, -1/6, 2 in descending order.
2, 0, -1/6, -6
Sort -2/435, 5, -1.
-1, -2/435, 5
Put 3, 5, -824 in decreasing order.
5, 3, -824
Sort 1/30, -1/23, 2, -5.
-5, -1/23, 1/30, 2
Put -0.06, -2, 23 in decreasing order.
23, -0.06, -2
Sort 0.3, 0.1, 7.4, -1.
-1, 0.1, 0.3, 7.4
Sort 3, 7, -8, -0.4, 0 in descending order.
7, 3, 0, -0.4, -8
Put 2/11, 2/5, 2/17 in decreasing order.
2/5, 2/11, 2/17
Put 326, -3, -2 in increasing order.
-3, -2, 326
Sort 1, -3, -82, -1 in increasing order.
-82, -3, -1, 1
Put -4, 0.1, 4, -63 in ascending order.
-63, -4, 0.1, 4
Sort 3, -95, 0, 2, -6/11 in increasing order.
-95, -6/11, 0, 2, 3
Put 49, -1, 0, 7 in descending order.
49, 7, 0, -1
Sort -114, 3.3, 0.4 in ascending order.
-114, 0.4, 3.3
Sort 2, 1, 11, -2, -4 in decreasing order.
11, 2, 1, -2, -4
Put 797, 2, -4 in increasing order.
-4, 2, 797
Sort 291, -2, -4.
-4, -2, 291
Sort 5, 6, -5, -1, -4 in descending order.
6, 5, -1, -4, -5
Put -26, 5, -39 in decreasing order.
5, -26, -39
Put -1, 0, -4, 2 in descending order.
2, 0, -1, -4
Put 28, -1, -28 in ascendi | {
"pile_set_name": "DM Mathematics"
} |
- 6*j - 4. What is w(f)?
4
Let z(i) = 3*i + 5. Suppose 5*o - 27 = -4*c - 8, -2*o = c - 7. Let u(v) = 2*v + 5. Let w(l) = o*z(l) - 4*u(l). Give w(4).
-1
Let c(z) = -4*z. Suppose 17 = w + 2*p, -2*p + 62 = 3*w + w. Let t = w + -11. Suppose -4 = t*v - 0. What is c(v)?
4
Let d(b) = -b - 2 + 9*b + 7. Let j(z) = z. Let p(q) = d(q) - 6*j(q). Calculate p(-4).
-3
Let a(h) = h - 1. Suppose 2*v - 8*v + 30 = 0. Let x = v + -8. Give a(x).
-4
Let g(c) = -c**3 + 3*c**2 + 2*c - 3. Let r be (-24)/(-15) - 2/(-5). Suppose 5*w - 22 = -3*v, 5*v + r*w - 12 = 6*w. What is g(v)?
-11
Let c(h) = 5*h + 3. Suppose 2*n - n = -2*r - 8, -2*r + 4*n - 8 = 0. Give c(r).
-17
Let a = -33 - -53. Suppose 0 = -5*z - 3*d + 25, d - a - 5 = -5*z. Let k(t) be the first derivative of -t**4/4 + 4*t**3/3 + 5*t**2/2 + 3*t + 1. Determine k(z).
3
Let q(a) = a**2 + 10*a + 12. Let j = 37 - 46. Give q(j).
3
Suppose -4*p + 2 = 18. Let r(h) be the first derivative of 3*h**2/2 + 1. Give r(p).
-12
Let s be 1 - ((5 - 2) + -2). Let k(h) = -5*h - 3. Let d(v) = 0*v + 0*v + v + 2 + 3*v. Let x(c) = 4*d(c) + 3*k(c). What is x(s)?
-1
Let q(y) = y**2 + 5*y + 4. Let c(s) = s + 6. Let x(o) = 2*o + 11. Let d(g) = -7*c(g) + 4*x(g). Let z be d(-6). Determine q(z).
0
Let z = 5 - 3. Suppose z + 3 = -5*w. Let u(v) = -2*v - 4*v**3 + 1 + v**3 + 4*v. Give u(w).
2
Let t(q) = -q**3 + 6*q**2 + q - 1. Let s be t(6). Suppose 2*p + 0*p = -5*x + 12, -4*x + 3 = -s*p. Let w(o) = -o**3 + 3*o**2 - 2*o - 1. Determine w(x).
-1
Let t(b) = -b + 3 + 5 - 3. Determine t(6).
-1
Let b = 2 - -1. Let w(j) = -2*j**3 + j**3 + 2*j**3 + 3*j**2 + 3*j - 2*j**b. What is w(4)?
-4
Let f be -1 + 6 - 18/6. Let q(u) be the first derivative of -3 + 5*u + 1/2*u**f. Give q(-5).
0
Suppose q + 36 = 7*q. Let r(a) = -a - 1 + 0*a + q*a - 7*a. Give r(-1).
1
Let j(b) = 12*b - 5 - b**2 - 4*b + 0 - 2. Determine j(8).
-7
Suppose 3*j + 6 = -0*j. Let q be (-4)/(-24)*3*j. Let f(m) = -16*m**3 + m**2 + m. Determine f(q).
16
Let u(n) be the first derivative of -n**3/3 + 3*n**2 + 11*n - 1. Calculate u(8).
-5
Let u(f) = 9*f + 1 - 26*f + 9*f + 7*f - 21*f**3. What is u(1)?
-21
Let g(r) be the third derivative of r**6/120 + r**5/30 - r**4/12 - r**3/2 - r**2. Let f = 1 + 2. Suppose -5*p = -3*t + 7, -f*p = p - t + 7. Determine g(p).
1
Let v(m) be the first derivative of m**5/120 + m**4/8 + 2*m**3 - 6. Let x(h) be the third derivative of v(h). Give x(3).
6
Let o(z) = -3 - 3*z - 3*z**3 + 4*z**3 - z**2 + 5*z**2. Let b(h) = -h**3 - 30*h**2 - 29*h - 4. Let k be b(-29). Determine o(k).
9
Let j(f) be the first derivative of f**3/3 + f**2/2 - f + 1. Let n(k) = k**3 - k**2 - 4. Let z be n(2). Let b be j(z). Let u(d) = -4*d. Give u(b).
4
Let u be 0/(((-8)/18)/((-4)/18)). Let l(j) = j**2 + 3*j**3 + 0 - 2*j**3 - 5. What is l(u)?
-5
Let y(u) be the second derivative of -u**6/360 + u**5/60 + u**4/8 - 5*u**3/6 + 4*u. Let f(n) be the second derivative of y(n). What is f(-2)?
-5
Let m = -1 - -6. Let x(j) = j**3 - 5*j**2. Give x(m).
0
Let r(l) be the second derivative of -l**5/20 - l**4/2 + 4*l**3/3 + 10*l. Determine r(-7).
-7
Let h(d) = -12*d - 4. Let j be h(-5). Suppose 3*m = o - 2*o + 32, 5*m - j = -3*o. Let w = m + -5. Let p(n) = n**3 - 5*n**2 + n. Determine p(w).
5
Suppose 2 = -8*f + 10*f. Let c(j) = 3*j**2 + 0*j - 5*j - j**3 + 4*j. Give c(f).
1
Let o(c) be the first derivative of c**4/4 + c**3/3 - c**2/2 + 4*c + 7. Suppose a = 3*a. Give o(a).
4
Suppose -a + 2 = 2*n - 3, 2*a = 5*n - 26. Suppose 3*p = 2*p + 2. Let w(v) = 6*v - 3*v - 2*v**2 + 6*v**2 - 4 - 3*v**p. Determine w(a).
-4
Suppose 2 + 1 = -3*y. Let x(o) be the second derivative of o**4/3 - o**3/6 - o**2/2 - 2*o. Calculate x(y).
4
Let j(f) be the first derivative of -2*f**3 + f**2/2 + 35. Give j(1).
-5
Let k(p) = -p**2 + 6*p - 3. Let v be k(4). Let s(t) = t**3 - 5*t**2 - 2*t + 6. Determine s(v).
-4
Let k(m) = -1. Let w(a) = 4*a**2 + 2*a - 3. Let j(n) = -2*k(n) + w(n). Let i(x) = -2*x - 7. Let q be i(-8). Suppose -s = 3*p, -3*p + 2*s + 0 = -q. What is j(p)?
5
Let s(o) be the first derivative of 2*o**3/3 + 3*o**2 + 2*o + 9. Determine s(-4).
10
Let j(l) = l**2 + 5*l. Suppose 0 = 3*n + 2*n - 30. Let r be (-18)/(-2)*n/(-9). What is j(r)?
6
Let m(q) = -2*q**2 + q**2 - 2*q + q**2 + 7*q**3 - 1 - 2*q**2. Let u = -4 - -3. What is m(u)?
-8
Suppose -5*f - 4 = -14. Suppose 2*n - 2 = -0*u - 2*u, f*u + 5*n = 14. Let j(o) be the third derivative of o**5/60 + o**4/24 + o**3/6 + o**2. Calculate j(u).
7
Let n(h) be the first derivative of -h**3/3 - 3*h**2/2 - 5*h + 4. Determine n(-4).
-9
Suppose -3*c + 7*c - 36 = -4*d, 4*d = -3*c + 28. Let x(l) = c*l - l - 3*l - 3 + 0*l + l**2. Give x(-5).
2
Suppose 48 = -4*a + 4. Let o(n) = n**2 + 12*n + 11. What is o(a)?
0
Let f = 2 - 3. Let l = f + -5. Let i = l - -3. Let p(z) = -2*z. Give p(i).
6
Let d(z) be the second derivative of -z**3/3 - 2*z**2 - 16*z. Calculate d(-4).
4
Let n(f) be the second derivative of f**4/6 + f**3/6 + f**2 + 8*f. Calculate n(-3).
17
Let l(a) = -5*a + 2. Let d = 1 + -1. Let r = -35 + 38. Let q = d + r. What is l(q)?
-13
Let n(y) = y**3 - 6*y**2 + 3*y - 3. Let x(m) = m**3 - m**2 + 4*m - 7. Let g be x(2). What is n(g)?
-13
Let o(k) = -k**3 + k**2 - k + 10. Let b = 64 + -64. Calculate o(b).
10
Let u(f) be the third derivative of -3*f**4/8 - f**3/6 - 10*f**2. Determine u(2).
-19
Suppose -2*j - j - 9 = 0, -j = 4*i + 23. Let v(g) = -g**3 - 175*g**2 - 2*g + 3 + 1 - 1 + 170*g**2. What is v(i)?
13
Let j(b) = b**2 - b + 2. Suppose 5*s = 11*s - 18. What is j(s)?
8
Let s(f) = -f**3 + 3*f**3 - 9*f - f**3 + 10*f. Give s(1).
2
Let f(b) = -25*b**2 + 2*b - 1. Let x be f(1). Let l = -25 - x. Let z(d) be the second derivative of d**4/12 - d**2/2 + d. Give z(l).
0
Let m(o) = -o. Let l be m(5). Let t = l + 5. Suppose 2*x + t*i = -2*i, 9 = -2*x + i. Let z(h) = -h - 4. Give z(x).
-1
Let z(s) = -s**3 - 6*s**2 - 2*s - 7. Suppose 1 = h, -3*o = 3*h + 5 + 1. Let t be 2 - (4 + o - 0). Suppose -7 = k - t. Determine z(k).
5
Let b be 128/60 - (-4)/(-30). Let n = b - 3. Let u(h) = 6*h**3 + 2*h**2 + 2*h + 1. Determine u(n).
-5
Let i(o) be the first derivative of -o**7/840 - o**6/90 - o**4/6 + o**3/3 - 3. Let j(u) be the third derivative of i(u). Let b = -8 + 4. Determine j(b).
-4
Suppose -3*v = 3*k + 7 - 28, 3*k - v - 1 = 0. Let u(l) = l**3 - 3*l**2 + 3*l - 2. Let r be u(k). Let g(t) = -t**2 - t + 7. What is g(r)?
7
Let i be -3 - (2 + -1) - -2. Let r(q) = -4*q**2 - q + 2. Calculate r(i).
-12
Let o = -13 - -12. Let k(d) = -5*d**3 + d + 1. What is k(o)?
5
Let o(d) = 7*d**2 - 1. Let t be o(1). Let i = -5 + t. Let a(l) = -6*l**2 + 5*l - 1. Let b(q) = 12*q**2 - 9*q + 2. Let k(c) = 5*a(c) + 3*b(c). What is k(i)?
5
Let t(g) = 4*g + g**2 - 5*g + g**3 + 224 - 220. What is t(-3)?
-11
Let p(s) = -s + 6. Let n(x) = x - 6. Let h(c) = -4*n(c) - 3*p(c). Let u be h(7). Let f(a) = -a + 3*a + 0*a - 5*a**3 + 2*a**2 + 1. Give f(u).
6
Let y(z) = -z**2 + 415 - 411 - 4*z + 0*z. Calculate y(3).
-17
Let r = -3427/120 + 143/5. Let m(l) be the third derivative of -2*l**2 + 1/60*l**5 + 0*l + 0 - 1/120*l**6 - 1/3*l**3 - r*l**4. Give m(0).
-2
Let b(k) = -7*k**2 - 5*k + 3. Let u(q) = 3*q**2 + 3*q - 1. Let l be 4 + 0 + 2/(-1). Let f(x) = l*b(x) + 5*u(x). Calculate f(-4).
-3
Suppose -5*g + 28 = 133. Let i = g - -20. Let a(x) = -5*x**2 - 2*x. Let h(b) = -b**2 - b + 1. Let m(s) = -a(s) + h(s). Give m(i).
4
Let n be 0 + (-16)/(-6) - 72/108. Let z(x) be the third derivative of 0*x + 0 - 2*x**n - 1/24*x**4 - 1/60*x**5 - 1/6*x**3. Calculate z(-2).
-3
Let b(w) = -w**2 + 2*w - 2. Let j(k) be the second derivative of -k**5/20 - 7*k**4/12 + k**3/6 + 9*k**2/2 - 3*k. Let f be j(-7). Determine b(f).
-2
Suppose -8 = -15*z + 11*z. Let w(j) = -3*j + 2. Give w(z).
-4
Suppose -17 = -5*q + 3. Suppose 3*t - 3*d - 12 = -6*d, -t - 4 = 5*d. Let p(w) = -q + t - w - 1 - 7. Determine p(-5).
-1
Let g = -14 + 17. Let q(a) = -2*a**2 + 2*a - 1. Calculate q(g).
-13
Let d(k) be the second derivative of -k**3/2 - k**2/2 - 60*k. Give d(-1).
2
Suppose 0 = -4*k + 4, 2*k + 8 = -0*a - 2*a. Let b(t) be the third derivative of -t**4/24 - t**3/3 + 9*t**2. Give b(a).
3
Let b = -11 - -19. Let n(c) = -11*c + 18. Let o(f) = -4*f + 6. Let k(h) = b*o(h) - 3*n(h). Determine k(5).
-1
Let l(u) = 2*u + 1. Suppose 17*w = 10*w + 21. What is l(w)?
7
Let o(a) = -6*a + 12. Let v be o(2). Let b(d) be the | {
"pile_set_name": "DM Mathematics"
} |
10*f - 24. Let y be z(k). Suppose 2*h - h + 27 = y. Is -27 < h?
False
Let d = 0.3 - 0.4. Let h be ((-7)/4)/((-5015)/4720). Which is bigger: d or h?
h
Let a = -1893 + 1513. Is a bigger than -761/2?
True
Let p = -8340253/18202 - -8706/19. Which is greater: 0.1 or p?
0.1
Let z(i) = -35*i**2 + 397*i - 133. Let s be z(11). Let m be ((-21)/(-6))/(22/4). Which is bigger: s or m?
m
Let l(s) = -149*s**3 - 18*s**2 - 18*s - 1. Let q be l(-1). Which is smaller: q or 1630/11?
q
Let v = -24418/7 - -3488. Are v and -15/268 unequal?
True
Let o(p) = 240*p - 241*p + 5 + 1 - 4. Let h be o(4). Let i be (2 - (-131 - h))/(1 + 0). Which is smaller: 130 or i?
130
Let h(q) = -4*q**2 - 17*q - 14. Let n be h(-6). Let i = -52 - n. Suppose 2*z = y + 31, y = i*z + 11 - 32. Is -42 at most y?
True
Let x = -3207/4 + 1631/2. Let f = -3.53 + 3.63. Which is bigger: f or x?
x
Suppose 3*t - 15 = b - 2, -4*t = 5*b + 160. Is -16 < b?
False
Let g = -120 + 34. Let a = 4938 + -4852.1. Let m = g + a. Are m and -14/11 equal?
False
Let d = 26 + 26. Let o = 0.09563 - -0.90437. Is d smaller than o?
False
Suppose s = -4*q - 648, -286*s + 168 = -q - 287*s. Do q and -1/2 have different values?
True
Let z be (-2)/4 - (-16)/((-2016)/52913). Is -420 greater than or equal to z?
True
Let b be (-5)/(-2)*(14824784/(-1058915) + 14)*2. Which is greater: -1 or b?
b
Suppose 4*f - 3*j = -215 + 735, 0 = -4*j - 16. Let i = f - 76. Which is smaller: i or 52?
i
Let c = 85 - 89. Let b be (127/c + 0)*52/(-1911). Let g = b - 1/147. Which is smaller: g or 1?
g
Let p = 17 + 18. Let l = p - 61. Let s = -2.043 - -0.043. Which is smaller: s or l?
l
Let x = -2393 - -2410. Which is smaller: x or 172/11?
172/11
Let v be ((-18)/15)/((-11)/(-2365)). Let p = 247 + v. Let u = -1 + 3. Is u >= p?
True
Suppose -4*x = 4*g + 228, -216 = 4*g + 2*x - x. Let t = g - -183. Which is smaller: t or 0.1?
0.1
Let a = 2637 + -2539. Are a and 108 equal?
False
Suppose -2*o - 2*f - 24 = 0, 2 = 2*o - 5*f + 5. Let a = 6/2413 + -45859/4826. Which is bigger: o or a?
o
Let j be ((-1194)/4)/(72/(-32)). Suppose -34*k + 21*k - 1729 = 0. Let v = j + k. Which is bigger: 50 or v?
50
Let r = -3232.3 + 2967. Let z = r + 265. Is -1 greater than or equal to z?
False
Let x be -6 + (14 - 12)*(-153 - -2). Are x and -305 equal?
False
Let s(h) = 38 + 5*h + 42 - h**3 - 109 - 6*h**2 + 39. Let f be s(-7). Is 25 less than f?
False
Let p be 0 + ((-3)/8 - (-1998)/592). Suppose 5*i + 2 = 3*q - 25, -3*q = 5*i + 3. Is q at most p?
False
Let f = -1333 - -1346. Is f > -68?
True
Let v(j) = j**3 - 2*j**2 - 2*j + 2. Let b be v(2). Let d be 0 + 4 + 0/(-1). Suppose 2*w = p + 3, -6*p + 13 = -p + d*w. Which is smaller: p or b?
b
Let u = -3307 + 1465. Let d = u + 46056/25. Let c = -2 - -2. Is c less than or equal to d?
True
Let t be (-5 - 1/(-1) - -5)/(-625). Let z = -140 + 141. Which is bigger: z or t?
z
Let l = 37.7 + -23.4. Let a = -15.3 + l. Which is bigger: -0.16 or a?
-0.16
Let a = -2788 - -3440. Which is bigger: a or -2?
a
Suppose 48201 = 95*t + 319996. Is t != -2860?
True
Suppose 3*c = -h - 221, -h + 12 - 17 = 0. Is c not equal to -72?
False
Suppose 2*a = -10, w + a - 63 = 261. Let m = w + -226. Let f = 722/7 - m. Is f smaller than 0?
False
Let r = 377 - 423. Let g = -94 - -51. Let c = g - r. Which is bigger: -3/8 or c?
c
Suppose -2192*o + 2176*o = -720. Let u = 93 + -48. Is u != o?
False
Let a = 28307 + -28307.091. Is 13.8 equal to a?
False
Let n = 22882 + -22881. Which is smaller: -14508 or n?
-14508
Let k be 0/(-6 + -7 + 15). Which is smaller: -3/8 or k?
-3/8
Let m = -107/412 - -1/103. Let j be (-888)/3672 - (-2 - (-57)/27). Let v = -116/425 - j. Which is bigger: m or v?
v
Suppose -4*z = 484 - 68. Let b = z + 103. Is 4/101 equal to b?
False
Let w = 177130/29 - 6108. Which is greater: -19 or w?
w
Let j be 9/((-216)/(-1005)) - -8. Let c = j + -9959/200. Let b = 1.5 + -0.5. Which is greater: b or c?
b
Let r = 805 - 710. Suppose 5*p = -22*f + 25*f - 73, -5*f + r = 5*p. Suppose -8 = -w + 13. Is w greater than f?
False
Suppose -12*o + 17*o + 555 = 0. Let u be 2/(-12)*(-296)/o. Which is smaller: u or 0?
u
Let j(z) be the second derivative of -z**4/12 + 5*z**3/3 + 9*z**2 + 14*z. Let l be j(10). Suppose -15*y + l*y + 9 = 0. Is -2/9 greater than or equal to y?
True
Let g(w) = 2*w**3 + 47*w**2 - 17*w - 14. Let b be g(-23). Is 908 < b?
False
Let b = -5268 - -4739. Which is smaller: b or -2647/5?
-2647/5
Let g = -15.149 - -15. Let w = g - 0.051. Which is smaller: -0.05 or w?
w
Let o be (-2)/(-33)*3 + ((-8106)/(-66) - 0). Which is smaller: o or 119?
119
Let d be (-60)/18*(1 - 4). Let x(n) = n - 7. Let u be x(d). Let r be (u - 5)*(-2 + 0). Are r and 4 unequal?
False
Let f be -732*(226/(-72) + (-5)/(-20)). Let m = f - 2063. Which is bigger: 52 or m?
52
Let k be 3*(-12)/(-9)*1. Let w = 442 + -249. Suppose 197*m = w*m - 12. Which is greater: m or k?
k
Suppose 4*q + 2*u - 1 - 1 = 0, 7 = 2*q - u. Let a(b) = -13*b**2 + 2*b + 2. Let z be a(q). Let h = -46 - z. Does h = 1/29?
False
Let v = 1532 + -1533. Does v = -2/3831?
False
Suppose -2*i - 8 + 24 = 0. Suppose i = w + 7*w. Which is greater: w or -8/31?
w
Suppose -2*x = -5*d - 76, 4*x - 7*d + 3*d = 140. Let f be x/82 - (-2)/(-4). Are f and 0 nonequal?
True
Let c be 2/6 + (-196460)/588588. Let b = 9076/352261 + c. Is b <= 0?
False
Let t = 635.73 + -636. Is 47 at most as big as t?
False
Suppose -1170 = 2*a - 4*j - 5998, 7272 = 3*a - j. Is a != 0?
True
Let m = -18.44 - 21.2. Let x = m + 43.3. Let b = x - 3.8. Are b and 0.2 nonequal?
True
Let y(k) = k**3 + 24*k**2 + 78*k - 39. Let t be y(-19). Which is greater: t or 292?
292
Let p = -41188 + 41189. Which is smaller: 21363 or p?
p
Let s be ((-120)/605)/((-46)/(-69)). Is 1 not equal to s?
True
Let f = -479 - -481. Suppose 5*w - 7 = -f*z, -2*w - 9*z = -4*z - 7. Let q be 1 - (1018/338 - 2). Which is greater: q or w?
w
Suppose -i = 4*y + 5 + 29, 2*y = -4*i - 10. Let z = y + 12. Is -22 <= z?
True
Let o = -3120187/335 - -9314. Let s = o + -787/13065. Which is greater: s or 1?
1
Let g(x) = x**3 - 7*x - 10. Let h be g(-2). Let c be (0 - (-2)/145)/(h/20). Is 0.1 less than or equal to c?
False
Suppose 122*g = -9*g + 5764. Is g at most as big as 4?
False
Suppose o - 4*b + 8*b + 19 = 0, o + 4 = -b. Let w(k) = -98*k + 43. Let h be w(o). Which is smaller: h or -1?
h
Let r(k) = -8*k - 193. Let f be r(-24). Let n be ((-42)/(-2925))/(24/170). Let i = 3/65 - n. Is f <= i?
True
Let j be ((3/(-9))/(5/552))/((-58)/145). Suppose 3*o + 90 = z - 0*z, -3*z = -3*o - 270. Which is greater: j or z?
j
Let z = -1 - 0. Suppose 60*v + 417 - 297 = 0. Is v < z?
True
Suppose 2*o = r + 19 - 24, 4*o - 10 = -2*r. Suppose -r*k = -24*k - 1235. Is -64 <= k?
False
Let h = -50 - -13. Let i = h + 43. Suppose -z + i = -4*z + k, 3*z + 3*k + 18 = 0. Is 3 <= z?
False
Let b = 21328 - 21367.57. Which is greater: 2/17 or b?
2/17
Let o = 22 + -136. Let i = o - -112.99. Let b = i + 0.71. Which is bigger: 2 or b?
2
Let u(l) = -l**2 - 6*l - 1. Let r be u(-6). Let y be (r + 2 + 5)*4/(-2). Let q be (1 + 6/y)/((-2)/364). Is -90 smaller than q?
False
Let i be ((413/21)/((-22)/33))/(1/(-6)). Which is greater: 168 or i?
i
Let m = 5 + 7. Let s be -1*((-69)/(-2) + 1/2). Let r = m + s. Are -23 and r equal?
True
Let g be ((-100)/(-250))/((-2)/(-200)). Let m be (1 - 0) + g/(-60). Are m and 37/8 nonequal?
True
Let r(i) = -1444*i - 2. Let v be r(-2). Let a be (-1886)/v*9/(-6). Let n = a + -32/37. Is n greater than 0?
True
Let r = 3 - 2. Let j = 1.3 - r. Let l = -349 + 356. Are l and j nonequal?
True
Let u(a) = 19*a**2 - 21*a + 3. Let x be u(-3). Let s = x - 6637/28. Are s and 0 nonequal?
True
Let s = -18860 + 19477. Suppose -1042 = -4*a + 1430. Is a equal to s?
False
Let x be (-24 + 4)*(16/20)/(-2). Let o(g) = g + x*g - 3*g + 1 - g. Let z be o(0). Is z > 10/23?
True
Let l = 0.916 - 18.816. Which is greater: l or 2?
2
Let z be (6 + 33)*2/(-4). Suppose m + 0*m = 4. Suppose -m*x = -5*l + 90, -5*x - 3*l - 96 = -2. Which is bigger: x or z?
z
Let f be (2 + 2)*((-18)/(-8) - 4). Let n be (-1 - f) + (-60 - -53). Which is greater: n or -15/19?
-15/19
Suppose -6*j + 125 = -37. Let h be (30/24)/(3/(-72)). Let o = h + j. Is -1 > o?
True
Suppose -4*o = -5*o + 3. Let d(w) = -w**2 - 4*w + 133. Let l be d(-13). Suppose -3*f + 7 = 3*q + l, 0 = 3*f + q + o. Is -10/13 greater | {
"pile_set_name": "DM Mathematics"
} |
d by 1165.
64
Calculate the remainder when 1014 is divided by 50.
14
What is the remainder when 12063 is divided by 246?
9
Calculate the remainder when 3670 is divided by 2202.
1468
What is the remainder when 57570 is divided by 19190?
0
Calculate the remainder when 26537 is divided by 248.
1
Calculate the remainder when 370901 is divided by 1520.
21
Calculate the remainder when 751 is divided by 729.
22
What is the remainder when 10945 is divided by 26?
25
What is the remainder when 13881 is divided by 3453?
69
Calculate the remainder when 8285 is divided by 2747.
44
What is the remainder when 3361 is divided by 835?
21
What is the remainder when 6355 is divided by 118?
101
Calculate the remainder when 1818167 is divided by 132.
131
Calculate the remainder when 89239 is divided by 93.
52
What is the remainder when 31232 is divided by 57?
53
What is the remainder when 90194 is divided by 40?
34
Calculate the remainder when 47183 is divided by 664.
39
What is the remainder when 16365 is divided by 910?
895
What is the remainder when 98649 is divided by 1134?
1125
Calculate the remainder when 12384 is divided by 98.
36
Calculate the remainder when 31298 is divided by 25.
23
What is the remainder when 8829 is divided by 121?
117
Calculate the remainder when 392 is divided by 16.
8
Calculate the remainder when 139688 is divided by 46553.
29
Calculate the remainder when 13161 is divided by 365.
21
What is the remainder when 35432 is divided by 7072?
72
Calculate the remainder when 17697 is divided by 45.
12
What is the remainder when 952 is divided by 426?
100
Calculate the remainder when 385 is divided by 185.
15
Calculate the remainder when 32701 is divided by 197.
196
Calculate the remainder when 4022 is divided by 58.
20
Calculate the remainder when 7179 is divided by 7.
4
What is the remainder when 2719 is divided by 643?
147
What is the remainder when 1576849 is divided by 18?
13
Calculate the remainder when 9979 is divided by 97.
85
Calculate the remainder when 50970 is divided by 16982.
24
What is the remainder when 729 is divided by 134?
59
Calculate the remainder when 16714 is divided by 940.
734
Calculate the remainder when 87745 is divided by 117.
112
What is the remainder when 1978 is divided by 35?
18
Calculate the remainder when 8671 is divided by 433.
11
Calculate the remainder when 30467 is divided by 5054.
143
Calculate the remainder when 744 is divided by 360.
24
What is the remainder when 7365 is divided by 210?
15
Calculate the remainder when 6629 is divided by 147.
14
Calculate the remainder when 28097 is divided by 2975.
1322
What is the remainder when 579 is divided by 399?
180
Calculate the remainder when 364050 is divided by 91010.
10
Calculate the remainder when 10487 is divided by 76.
75
What is the remainder when 147858 is divided by 732?
726
Calculate the remainder when 29288 is divided by 458.
434
What is the remainder when 13656 is divided by 718?
14
What is the remainder when 274480 is divided by 18?
16
What is the remainder when 28724 is divided by 22?
14
What is the remainder when 3281 is divided by 2714?
567
Calculate the remainder when 203172 is divided by 175.
172
What is the remainder when 8088 is divided by 897?
15
Calculate the remainder when 1664265 is divided by 118.
111
What is the remainder when 54797 is divided by 106?
101
Calculate the remainder when 23494 is divided by 23395.
99
What is the remainder when 70537 is divided by 5878?
1
What is the remainder when 388649 is divided by 292?
289
What is the remainder when 739 is divided by 259?
221
Calculate the remainder when 2520 is divided by 283.
256
What is the remainder when 16581 is divided by 5188?
1017
Calculate the remainder when 670 is divided by 226.
218
What is the remainder when 1732 is divided by 841?
50
What is the remainder when 7512 is divided by 179?
173
What is the remainder when 20273 is divided by 60?
53
What is the remainder when 22288 is divided by 1311?
1
Calculate the remainder when 3115 is divided by 240.
235
What is the remainder when 21412 is divided by 39?
1
What is the remainder when 9840 is divided by 985?
975
What is the remainder when 15755 is divided by 2240?
75
Calculate the remainder when 1261364 is divided by 17.
15
What is the remainder when 2898762 is divided by 9?
6
Calculate the remainder when 90157 is divided by 784.
781
Calculate the remainder when 11160 is divided by 85.
25
What is the remainder when 390956 is divided by 97734?
20
Calculate the remainder when 8945 is divided by 6802.
2143
What is the remainder when 3549 is divided by 35?
14
What is the remainder when 259621 is divided by 117?
115
What is the remainder when 12424 is divided by 27?
4
What is the remainder when 1074801 is divided by 1129?
1122
What is the remainder when 6916 is divided by 2298?
22
Calculate the remainder when 478 is divided by 379.
99
What is the remainder when 15776 is divided by 39?
20
Calculate the remainder when 14995 is divided by 81.
10
What is the remainder when 2440 is divided by 263?
73
Calculate the remainder when 13515 is divided by 45.
15
Calculate the remainder when 382 is divided by 122.
16
What is the remainder when 26045 is divided by 6497?
57
What is the remainder when 292825 is divided by 121?
5
What is the remainder when 196505 is divided by 296?
257
Calculate the remainder when 872 is divided by 415.
42
What is the remainder when 76332 is divided by 9?
3
What is the remainder when 436292 is divided by 7654?
14
What is the remainder when 2273 is divided by 282?
17
Calculate the remainder when 22733 is divided by 31.
10
Calculate the remainder when 3757 is divided by 297.
193
What is the remainder when 781 is divided by 728?
53
What is the remainder when 706057 is divided by 430?
427
Calculate the remainder when 49539 is divided by 16491.
66
What is the remainder when 7157 is divided by 1381?
252
Calculate the remainder when 24802 is divided by 1553.
1507
What is the remainder when 3197 is divided by 270?
227
What is the remainder when 8740 is divided by 48?
4
What is the remainder when 15083 is divided by 55?
13
Calculate the remainder when 5490675 is divided by 323.
321
What is the remainder when 31447 is divided by 6289?
2
Calculate the remainder when 22732 is divided by 127.
126
What is the remainder when 119095 is divided by 7442?
23
Calculate the remainder when 180602 is divided by 4.
2
What is the remainder when 455419 is divided by 256?
251
Calculate the remainder when 65609 is divided by 1369.
1266
What is the remainder when 322967 is divided by 88?
7
Calculate the remainder when 24434 is divided by 8127.
53
What is the remainder when 200109 is divided by 528?
525
What is the remainder when 40608 is divided by 90?
18
Calculate the remainder when 122735 is divided by 68.
63
Calculate the remainder when 3202 is divided by 483.
304
Calculate the remainder when 9288 is divided by 3086.
30
Calculate the remainder when 335 is divided by 140.
55
Calculate the remainder when 9885 is divided by 95.
5
What is the remainder when 9460 is divided by 2553?
1801
Calculate the remainder when 139933 is divided by 46644.
1
Calculate the remainder when 119366 is divided by 47.
33
What is the remainder when 88864 is divided by 10?
4
Calculate the remainder when 4528 is divided by 304.
272
What is the remainder when 1061 is divided by 28?
25
What is the remainder when 2266 is divided by 1105?
56
What is the remainder when 13601 is divided by 349?
339
Calculate the remainder when 37943 is divided by 91.
87
What is the remainder when 408896 is divided by 87?
83
Calculate the remainder when 56789 is divided by 403.
369
What is the remainder when 34019 is divided by 11328?
35
What is the remainder when 30101 is divided by 304?
5
Calculate the remainder when 79966 is divided by 102.
100
Calculate the remainder when 85656 is divided by 83.
0
Calculate the remainder when 630845 is divided by 18.
17
Calculate the remainder when 90738 is divided by 20.
18
Calculate the remainder when 503 is divided by 6.
5
What is the remainder when 92332 is divided by 169?
58
Calculate the remainder when 25432 is divided by 567.
484
What is the remainder when 13161 is divided by 4382?
15
Calculate the remainder when 2603 is divided by 147.
104
Wha | {
"pile_set_name": "DM Mathematics"
} |
263
Calculate the remainder when 346348 is divided by 65.
28
What is the remainder when 14135 is divided by 64?
55
Calculate the remainder when 209760764 is divided by 7.
3
Calculate the remainder when 10601800 is divided by 3533930.
10
What is the remainder when 20522 is divided by 1077?
59
Calculate the remainder when 24340007 is divided by 88832.
39
What is the remainder when 142169 is divided by 142166?
3
Calculate the remainder when 18111679 is divided by 64.
63
What is the remainder when 8572696 is divided by 174?
64
What is the remainder when 488278 is divided by 488157?
121
What is the remainder when 105204948 is divided by 50?
48
What is the remainder when 405827 is divided by 15?
2
What is the remainder when 17463098 is divided by 4464?
4394
What is the remainder when 2172020 is divided by 1847?
1795
What is the remainder when 25284586 is divided by 2809397?
13
Calculate the remainder when 331160 is divided by 33115.
10
What is the remainder when 9369 is divided by 1497?
387
Calculate the remainder when 22118349 is divided by 30.
9
What is the remainder when 51152 is divided by 200?
152
What is the remainder when 61452 is divided by 435?
117
What is the remainder when 18490 is divided by 8886?
718
What is the remainder when 132630 is divided by 1114?
64
Calculate the remainder when 1122915 is divided by 1717.
1714
What is the remainder when 10338 is divided by 4465?
1408
Calculate the remainder when 3107 is divided by 1831.
1276
What is the remainder when 54179692 is divided by 2006655?
7
Calculate the remainder when 61725 is divided by 330.
15
What is the remainder when 24962528 is divided by 2116?
76
Calculate the remainder when 54162099 is divided by 386872.
19
What is the remainder when 250794 is divided by 261?
234
Calculate the remainder when 233751212 is divided by 11.
2
What is the remainder when 59019 is divided by 125?
19
Calculate the remainder when 1519677 is divided by 1031.
1014
Calculate the remainder when 165239 is divided by 11622.
2531
Calculate the remainder when 169623 is divided by 3028.
55
What is the remainder when 26759 is divided by 584?
479
Calculate the remainder when 6649938 is divided by 188.
2
What is the remainder when 2378003 is divided by 339714?
5
Calculate the remainder when 1127468 is divided by 38.
8
What is the remainder when 117947 is divided by 39237?
236
Calculate the remainder when 3668 is divided by 97.
79
What is the remainder when 73808 is divided by 556?
416
Calculate the remainder when 2181964 is divided by 1090970.
24
Calculate the remainder when 17765669 is divided by 329.
327
Calculate the remainder when 3633095 is divided by 319.
4
Calculate the remainder when 85000 is divided by 691.
7
What is the remainder when 114166 is divided by 9484?
358
Calculate the remainder when 8127269 is divided by 5274.
35
Calculate the remainder when 202819 is divided by 1573.
1475
What is the remainder when 765291 is divided by 1534?
1359
What is the remainder when 10158336 is divided by 1475?
11
What is the remainder when 98398 is divided by 265?
83
What is the remainder when 7282083 is divided by 238?
235
What is the remainder when 3451654 is divided by 98?
94
What is the remainder when 174892 is divided by 86234?
2424
What is the remainder when 3078617 is divided by 2135?
2082
What is the remainder when 104703 is divided by 34739?
486
What is the remainder when 2045329 is divided by 681774?
7
Calculate the remainder when 7949071 is divided by 35645.
236
Calculate the remainder when 6340439 is divided by 785.
779
Calculate the remainder when 13406 is divided by 3833.
1907
Calculate the remainder when 849842 is divided by 4569.
8
What is the remainder when 68481 is divided by 22382?
1335
Calculate the remainder when 186601 is divided by 22490.
6681
What is the remainder when 5684484 is divided by 947412?
12
Calculate the remainder when 19479 is divided by 1985.
1614
Calculate the remainder when 517499 is divided by 258401.
697
What is the remainder when 9754428 is divided by 1950874?
58
Calculate the remainder when 286086936 is divided by 7946859.
12
Calculate the remainder when 593230 is divided by 3011.
63
What is the remainder when 1452302599 is divided by 700?
699
What is the remainder when 1158234 is divided by 285?
279
What is the remainder when 138050 is divided by 17242?
114
Calculate the remainder when 120726393 is divided by 30181598.
1
What is the remainder when 392456 is divided by 213?
110
Calculate the remainder when 13942002 is divided by 105.
102
What is the remainder when 2594714 is divided by 2790?
14
Calculate the remainder when 1487898 is divided by 25650.
198
What is the remainder when 3871816 is divided by 9851?
373
What is the remainder when 40635 is divided by 5741?
448
Calculate the remainder when 876546 is divided by 1125.
171
What is the remainder when 29640 is divided by 617?
24
Calculate the remainder when 930941 is divided by 84597.
374
What is the remainder when 4404092 is divided by 438?
2
Calculate the remainder when 2187867 is divided by 6795.
6672
What is the remainder when 11053783 is divided by 2763442?
15
Calculate the remainder when 635700 is divided by 5342.
2
Calculate the remainder when 13640 is divided by 712.
112
What is the remainder when 1507621 is divided by 5197?
491
Calculate the remainder when 2097507 is divided by 2491.
85
What is the remainder when 891503 is divided by 918?
125
What is the remainder when 2722982 is divided by 181531?
17
Calculate the remainder when 33025 is divided by 109.
107
Calculate the remainder when 1933848 is divided by 814.
598
What is the remainder when 46573 is divided by 6425?
1598
What is the remainder when 112501 is divided by 28075?
201
Calculate the remainder when 20936566 is divided by 28.
14
What is the remainder when 3144149 is divided by 161?
141
Calculate the remainder when 89210 is divided by 1144.
1122
What is the remainder when 15675922 is divided by 90?
82
Calculate the remainder when 24420 is divided by 11389.
1642
What is the remainder when 299722 is divided by 1233?
103
What is the remainder when 153875 is divided by 1447?
493
What is the remainder when 874071 is divided by 214?
95
Calculate the remainder when 9015533 is divided by 2519.
32
What is the remainder when 5572302 is divided by 9845?
32
Calculate the remainder when 49298667 is divided by 67256.
19
Calculate the remainder when 1718081 is divided by 6317.
6174
Calculate the remainder when 24490844 is divided by 463.
459
Calculate the remainder when 2561742 is divided by 81.
36
Calculate the remainder when 48441926 is divided by 309.
305
What is the remainder when 2987597 is divided by 1077?
1076
What is the remainder when 456755 is divided by 174?
5
Calculate the remainder when 21695 is divided by 3125.
2945
Calculate the remainder when 34328 is divided by 5891.
4873
What is the remainder when 807775 is divided by 1181?
1152
What is the remainder when 5261429 is divided by 182?
173
What is the remainder when 142953754 is divided by 38?
34
What is the remainder when 2501163 is divided by 1784?
1779
What is the remainder when 26126097 is divided by 52?
49
Calculate the remainder when 1375999 is divided by 458354.
937
Calculate the remainder when 558613 is divided by 19258.
131
What is the remainder when 1630355 is divided by 99?
23
What is the remainder when 1918498 is divided by 145?
3
Calculate the remainder when 4211389 is divided by 1052825.
89
Calculate the remainder when 20019507 is divided by 134359.
16
What is the remainder when 315286 is divided by 44?
26
Calculate the remainder when 330363 is divided by 838.
191
What is the remainder when 642 is divided by 143?
70
What is the remainder when 10850376 is divided by 47381?
127
What is the remainder when 923991 is divided by 519?
171
Calculate the remainder when 6213834 is divided by 2178.
0
Calculate the remainder when 2196453 is divided by 128.
101
Calculate the remainder when 2831021 is divided by 17.
11
What is the remainder when 1310999 is divided by 30?
29
What is the remainder when 43307 is divided by 8262?
1997
Calculate the remainder when 220092 is divided by 2752.
2684
What is the remainder when 4594231 is divided by 3711?
13
Calculate the remainder when 2215779 is divided by 38. | {
"pile_set_name": "DM Mathematics"
} |
, -637, -837?
-1033
What comes next: -6, 0, 10, 24, 42, 64, 90?
120
What is next in 13, 73, 181, 337, 541?
793
What is next in 275, 547, 819, 1091?
1363
What comes next: -46, -28, 26, 134, 314, 584?
962
What is the next term in -9, 2, 23, 60, 119?
206
What is next in -22, -79, -182, -337, -550, -827?
-1174
What is next in -86, -96, -122, -170, -246, -356, -506, -702?
-950
What comes next: 17, 6, 7, 26, 69?
142
What comes next: 60, 150, 252, 372, 516, 690, 900, 1152?
1452
What comes next: 15, 47, 95, 159, 239?
335
What is next in 121, 450, 999, 1768, 2757, 3966, 5395?
7044
What is next in -745, -1490, -2235, -2980, -3725, -4470?
-5215
What is the next term in 7, 19, 39, 67, 103?
147
What is next in -6270, -6271, -6272, -6273?
-6274
What is the next term in -583, -581, -579, -577, -575, -573?
-571
What comes next: 38, 64, 80, 80, 58, 8, -76?
-200
What is the next term in 572, 712, 838, 944, 1024, 1072?
1082
What is next in 5, 19, 39, 65, 97, 135, 179?
229
What is the next term in 273, 270, 267?
264
What is the next term in 21, 23, 25, 27?
29
What comes next: -16, -17, -18, -19?
-20
What is the next term in 15, 53, 115, 201, 311, 445, 603?
785
What is next in -4, -3, -46, -169, -408?
-799
What comes next: -982, -971, -948, -907, -842, -747, -616?
-443
What is the next term in -3185, -3199, -3213, -3227?
-3241
What is the next term in 6, 17, 32, 51?
74
What is the next term in 15, 4, -13, -30, -41?
-40
What is the next term in 10, 44, 116, 238, 422, 680?
1024
What is the next term in -5362, -5361, -5360, -5359, -5358, -5357?
-5356
What is next in 309, 310, 311, 312, 313?
314
What comes next: 0, 12, 38, 84, 156, 260?
402
What comes next: 30, 26, -12, -102, -262, -510?
-864
What is the next term in 16, 13, 10?
7
What comes next: 20, 82, 186, 332, 520, 750, 1022?
1336
What comes next: 445, 444, 443, 442?
441
What is next in -44, -55, -78, -119, -184, -279, -410?
-583
What is next in 47, 75, 105, 137, 171, 207?
245
What comes next: -237, -861, -1901, -3357, -5229?
-7517
What comes next: -1199, -4793, -10789, -19193, -30011, -43249, -58913?
-77009
What comes next: 13, 35, 77, 151, 269, 443, 685, 1007?
1421
What comes next: -76, -86, -92, -94, -92, -86, -76?
-62
What comes next: -7, -14, -31, -64, -119?
-202
What is the next term in 1921, 3841, 5759, 7675, 9589, 11501, 13411?
15319
What is next in -19, 3, 37, 89, 165, 271, 413?
597
What is next in 71, 93, 113, 131?
147
What is the next term in -46, -96, -152, -214?
-282
What is the next term in 158, 159, 160?
161
What is the next term in -16, -45, -96, -169, -264, -381, -520?
-681
What comes next: 1436, 2875, 4316, 5759?
7204
What is the next term in -605, -1213, -1823, -2435?
-3049
What is next in 22, 72, 126, 184?
246
What is the next term in 86, 134, 196, 278, 386?
526
What is the next term in 68, 75, 84, 95, 108, 123?
140
What comes next: 1454, 1453, 1452?
1451
What is the next term in -300, -516, -732, -948?
-1164
What is next in 1, 9, 23, 43, 69?
101
What is next in -92, -181, -270, -359?
-448
What comes next: 40, 38, 34, 28, 20, 10, -2?
-16
What is next in -273, -552, -833, -1116?
-1401
What comes next: 517, 1030, 1541, 2050, 2557, 3062?
3565
What comes next: 20, 42, 102, 218, 408, 690, 1082?
1602
What is next in -11, -57, -179, -413, -795, -1361, -2147?
-3189
What is next in -26, -66, -134, -230?
-354
What is next in -31, -80, -149, -238, -347, -476?
-625
What comes next: 713, 1423, 2133, 2843?
3553
What is the next term in -25, -51, -97, -169, -273?
-415
What comes next: -294, -297, -302, -309, -318?
-329
What is the next term in 12, -44, -168, -384, -716, -1188, -1824?
-2648
What is next in 13, 19, 21, 19, 13, 3, -11?
-29
What is next in -118, -253, -406, -583, -790, -1033?
-1318
What comes next: 117, 224, 345, 486, 653, 852, 1089, 1370?
1701
What is next in 8, 6, -2, -16?
-36
What is next in -267, -1035, -2317, -4119, -6447, -9307, -12705?
-16647
What is the next term in 31, 58, 131, 274, 511, 866, 1363?
2026
What is next in -594, -597, -600?
-603
What comes next: -651, -650, -649?
-648
What is next in 625, 1248, 1871, 2494?
3117
What comes next: 2094, 2092, 2090, 2088?
2086
What is the next term in -40, -88, -136, -184?
-232
What comes next: -3, 11, 33, 63?
101
What comes next: 10, 13, 12, 7, -2, -15?
-32
What comes next: -30, -40, -56, -78?
-106
What comes next: 537, 537, 535, 531, 525?
517
What comes next: 108, 95, 76, 51, 20?
-17
What comes next: -6, -21, -36, -51, -66?
-81
What is the next term in 1, -19, -67, -155, -295?
-499
What is next in -386, -392, -402, -416, -434?
-456
What is next in -49, -54, -67, -88, -117, -154?
-199
What comes next: -90, -93, -96, -99, -102, -105?
-108
What comes next: 43, 78, 125, 190, 279?
398
What comes next: -209, -816, -1827, -3242, -5061, -7284?
-9911
What is the next term in -4, 8, 20, 32, 44?
56
What comes next: 30, 13, -10, -33, -50, -55, -42, -5?
62
What comes next: -117, -172, -227, -282?
-337
What is the next term in 39, 47, 61, 81, 107, 139, 177?
221
What is the next term in 1053, 2104, 3157, 4212, 5269, 6328?
7389
What is next in -16, 5, 40, 89, 152?
229
What comes next: -22, -32, -56, -100, -170, -272, -412?
-596
What is the next term in 136, 527, 1172, 2071?
3224
What is next in -24, -17, -10, -3, 4?
11
What comes next: -1256, -2515, -3774?
-5033
What is next in -5, -3, -1, 1, 3, 5?
7
What is the next term in 113, 111, 109, 107, 105, 103?
101
What is next in -870, -875, -892, -927, -986, -1075?
-1200
What is next in 95, 191, 287, 383?
479
What comes next: -6186, -6185, -6184?
-6183
What is the next term in 104, 245, 386, 527?
668
What is next in 14, 25, 42, 71, 118, 189, 290?
427
What is the next term in -95, -179, -253, -311, -347, -355?
-329
What is next in 41, 82, 151, 248, 373, 526?
707
What comes next: -7569, -30287, -68151, -121161, -189317, -272619?
-371067
What is next in -5, -10, -23, -44, -73, -110?
-155
What comes next: 347, 348, 349, 350, 351?
352
What comes next: -1266, -2534, -3792, -5034, -6254, -7446, -8604, -9722?
-10794
What is the next term in 16, 11, 6?
1
What comes next: -137, -132, -125, -116, -105?
-92
What is next in 116, 221, 326, 431?
536
What is the next term in -5, 4, 15, 28?
43
What is the next term in -8, -21, -24, -11, 24, 87, 184?
321
What is next in -183, -175, -167, -159, -151?
-143
What is the next term in -142, -142, -136, -118, -82?
-22
What comes next: 131, 204, 277?
350
What is next in -1048, -1058, -1090, -1156, -1268, -1438?
-1678
What is the next term in 142, 117, 92?
67
What is the next term in -55, -91, -127, -163, -199, -235?
-271
What is next in -201, -180, -169, -174, -201, -256, -345?
-474
What is next in 9952, 9955, 9970, 10003, 10060, 10147, 10270, 10435?
10648
What is the next term in 387, 772, 1157, 1542, 1927?
2312
What comes next: -326, -642, -950, -1250?
-1542
What is the next term in -1, -8, -11, -4, 19, 64, 137?
244
What is the next term in -45, -70, -85, -84, -61, -10?
75
What is next in -55, -60, -71, -88, -111?
-140
What is next in 179, 375, 585, 809, 1047, 1299?
1565
What comes next: 4580, 4581, 4582?
4583
What is the next term in -124, -196, -220, -196, -124?
-4
What is next in 8, -8, -46, -118, -236?
-412
What is the next term in -1426, -1429, -1434, -1441, -1450?
-1461
What comes next: -56, -62, -68, -74, -80, -86?
-92
What comes next: 20, 43, 84, 161, 292, 495, 788, 1189?
1716
What comes next: 1, 0, -1, -2, -3?
-4
What is the next term in 545, 543, 539, 533, 525?
515
What comes next: -5366, -10734, -16102, -21470?
-26838
What is the next term in -14, -39, -64?
-89
What comes next: -120, -106, -82, -48?
-4
What is the next term in -435, -440, -443, -444?
-443
What is next in -217, -443, -693, -979, -1313, -1707?
-2173
What is next in 16, 33, 46, 55, 60?
61
What is the next term in 36, 85, 150, 237, 352, 501, 690, 925?
1212
What is the next term in 6, -4, -44, -132, -286?
-524
What is next in 22, 11, -14, -53, -106, -173?
-254
What is next in 166, 170, 176, 184, 194, 206, 220?
236
What comes next: -197, -207, -215, -215, -201?
-167
What is the next term in 14, 107, 354, 833, 1622, 2799?
4442
What is next in 15, 5, -17, -57, -121, -215?
-345
What comes next: 278, 566, 854, 1142?
1430
What comes next: 5, 19, 51, 107, 193, 315, 479?
691
What is next in 11, 56, 175, 404, 779?
133 | {
"pile_set_name": "DM Mathematics"
} |
Let m(k) = -k**3 + 5*k**2 - 4. Let j be m(5). Let y be j/(-4) - 1*5. Which is the nearest to d? (a) y (b) -5 (c) -3
c
Let c = 4.5 + 0.5. Let p = -5.99 - 0.01. Let x = 7 + p. What is the closest to 0 in c, -2, x?
x
Suppose -2*t + 6 = -0*t. Suppose -4*f - 4*z = z - 13, 5*f + t*z = 0. What is the closest to -2/19 in 0.5, f, 3?
0.5
Let c = -5 + 6. Let j(o) = o**3 - 9*o**2 + 3*o - 11. Let a be j(9). Suppose 2*n - 6*n - a = 0. What is the nearest to c in -0.3, 3, n?
-0.3
Let l = 0 + -0.2. Let i be 10*(21/(-6))/(-7). Which is the closest to l? (a) i (b) 2/5 (c) -1/3
c
Let v = -0.2 + 0.7. Let d = 0.024 - 0.524. Which is the closest to 1? (a) 2 (b) d (c) v
c
Let p = -12.8 + 14.8. What is the closest to -2/3 in -1, p, 0.5?
-1
Let o = -1.97 + 2. Let n = o + -0.43. Let z = 0.2 + -0.3. Which is the nearest to z? (a) n (b) 0.4 (c) -2/11
c
Let w = -3.798 + -0.202. Which is the closest to -1? (a) w (b) -9 (c) -1
c
Let i = 110 + -106. Let p = 0.5 - 1. Which is the closest to 0? (a) 1/3 (b) p (c) i
a
Let d = 2 - -2. Let s = 117 + -111.9. Let q = -5 + s. What is the closest to q in -4/7, d, 1?
-4/7
Let d = -13.3 + 14. Let i = d - 0.8. Which is the nearest to i? (a) 0.05 (b) 1/9 (c) -3/4
a
Suppose -z - z = -2. Suppose -3*m = 4*m. Which is the closest to -1? (a) -1 (b) m (c) z
a
Let g = 1208/3 - 403. Let n be (-2)/9 + 0/(-1). What is the nearest to g in 1, n, -4?
n
Let w = -7 + 4. Let p = 0.06 - 0.06. Let f = 0.4 - p. What is the nearest to 1 in f, -2/9, w?
f
Let l = -0.07 - 0.15. Let p = l - 4.78. Let i = -1 - -2. Which is the closest to 1? (a) i (b) -1/7 (c) p
a
Suppose 4*v - 5 = 7. Let p be -3 + 4 - v/(-6). What is the closest to 0 in p, 0.1, 0.3?
0.1
Let a be (-13)/3 + 2 - -2. Suppose 0 = -0*b + b - 14. Suppose 4*d = -f + 10, 4*f - b = -4*d + 2. What is the nearest to 0.1 in a, d, -1?
a
Let v(q) = q + 6. Let l be v(-5). Let z = -2/201 - 589/1407. Which is the closest to 1? (a) l (b) 0 (c) z
a
Let i(j) = 11*j - 80. Let f be i(14). Which is the nearest to f? (a) 2/15 (b) -3/8 (c) 2/3
c
Let h = 22 + -17. What is the nearest to 0.2 in -3, h, -1?
-1
Let y = 0.05 + 3.95. Let p = 1 + -0.9. Let u = -1.1 + p. What is the nearest to -1 in -4, u, y?
u
Let y = 0.96 - 0.76. Let o(w) = w**3 + w**2 - w. Let k be o(-2). Which is the closest to 1/4? (a) 0 (b) k (c) y
c
Let i = 11.2 - 11. Let q be 6/28*(-4)/(-3). What is the closest to q in -2/5, i, 0.1?
i
Let p = 0.03 - -0.06. Let x = 0.01 + p. Which is the closest to x? (a) 3 (b) -2 (c) -3
b
Suppose 3*x + 2*s = -3*s - 13, -2*x + 3*s = -4. Let a = 2.4 + -0.4. Let p = a + -1.9. What is the closest to p in -2, -2/3, x?
-2/3
Let h be (1 - 2)/((-1)/(-5)). Let v = 12 + -6. Let r = -2 + v. What is the nearest to 0.1 in r, h, -3?
-3
Let c = 0.13 - 0.53. What is the closest to -1 in -3, -1/9, c?
c
Let q = 2.4 + 0.4. Let a = 3 - q. What is the nearest to a in -0.1, 0.2, -2/7?
0.2
Let i = 0.01 - 0.11. Let k = 4.7 - -1.5. Let l = k + -1.2. Which is the nearest to i? (a) -5 (b) l (c) -1
c
Let z = 3 - 8. Which is the nearest to 2/3? (a) 5 (b) z (c) 4/5
c
Let p = -0.28 - -12.28. Let n = p - 11.8. What is the closest to n in 1, 0.3, 3?
0.3
Let d be (-10)/(-15) + (-60)/63. Suppose 2*x - g = 9, -2*x + 5*g + 19 = 2*g. Suppose v + 1 = x*v. What is the nearest to v in d, -4, 1?
1
Suppose 0*p - 38 = 2*p. Let b = 37/2 + p. Let w = 0.09 - 0.09. What is the closest to w in b, -3, -5?
b
Let l = 0.22 + 2.78. Let q = 0.5 - 1. Which is the closest to 1? (a) q (b) l (c) 0.1
c
Let b = -3/35 + -2/35. What is the nearest to -3 in 0.3, b, 5/3?
b
Let i(l) = l**2 + 3*l + 1. Let q be i(-1). Let j be 36/(-16)*4/6. Which is the nearest to q? (a) 4 (b) j (c) -3
b
Let y = -5/23 - -125/46. Which is the nearest to 0.1? (a) 2 (b) -0.1 (c) y
b
Let b be (-1)/4 - (-105)/(-28). What is the closest to -1 in 0.2, -0.3, b?
-0.3
Let s = -1 + 0.9. Let l = 0.02 - -0.08. Let z = l + -5.1. Which is the closest to -1? (a) z (b) -1/2 (c) s
b
Let u = -19.8 + 36. Let f = 16 - u. Let d = 2 + -2.1. Which is the closest to d? (a) -1/7 (b) f (c) 2
a
Let x = -2.06 - -0.06. Let z = -7 - -10. Let v be (z/33)/(1/2). What is the closest to 0.1 in x, 0.3, v?
v
Let n = 160 + -159. Let y = -47/6 - -19/3. Which is the nearest to n? (a) y (b) -2 (c) -4
a
Let q = 6.9 + -5.9. Which is the closest to -1? (a) q (b) -0.4 (c) -2
b
Let v be 2 + (3 - 7)/(-2). What is the nearest to -0.2 in v, -1, 3?
-1
Suppose n - 4*i + 3*i - 3 = 0, 5*i = n - 11. Let t be (-6)/9 - (n + -1). Which is the closest to -1? (a) t (b) 2/9 (c) 3/5
a
Let y = -0.17 - -0.27. Which is the closest to y? (a) -2 (b) -2/15 (c) 0.1
c
Let r = 0.05 + -0.45. Let x(a) = -a**3 - 15*a**2 - 34*a + 20. Let j be x(-12). What is the nearest to 1 in r, 1/11, j?
1/11
Let v = 2 + 1. Let t = 19/2 - 10. Let w = -0.4 - -0.7. Which is the closest to -1/2? (a) t (b) w (c) v
a
Suppose 2 = -5*l - 3. Suppose 3*n - 1 = 11. Suppose 0 = 3*d - 5*t + 3 + 7, -n = 2*d - 2*t. What is the nearest to 0.1 in d, 1/6, l?
1/6
Suppose -i = -4*h - 1, -5*h - 16 = -4*h + 5*i. Which is the nearest to 1? (a) 2 (b) 4 (c) h
a
Let k = 0.9 + 0.7. Let h = -2.1 + k. Let u = 0.09 - -3.91. What is the nearest to -1 in h, -3, u?
h
Let w = 0.3 - 0.2. Let j(i) = -2*i**2 - i - 1. Let v be j(-1). Let l be v/3 - (-4)/12. Which is the nearest to w? (a) -4 (b) l (c) -1
b
Let j = 0.1 + 1.9. Let r = -4 + j. Which is the closest to -2? (a) r (b) 0.3 (c) -1
a
Let l = 91 - 94. Let f be -1 + (0 - 14/(-10)). What is the nearest to f in 0.2, 0.4, l?
0.4
Let w = -140 - -1262/9. Let p = -123/460 - -2/115. Which is the nearest to p? (a) 0.1 (b) w (c) 5
a
Let l = -0.4 - 1.6. What is the nearest to 4/3 in 0.1, l, 0.2?
0.2
Let x = -0.33 + 0.23. Which is the nearest to 0.1? (a) -0.3 (b) x (c) -0.2
b
Let r = -2.92 + 3. Let y = r - 0.58. Let v = -0.05 + -2.95. Which is the closest to 1? (a) v (b) y (c) -0.4
c
Let h(a) = a**3 + 7*a**2 + 6*a - 4. Suppose m = -2*g - g - 22, m = 3*g + 14. Let o be h(g). What is the nearest to 0.1 in 5, o, -0.3?
-0.3
Let y = 41 + -40.3. What is the nearest to -0.1 in y, 2, 1?
y
Let n be (4/25)/(8/(-20)). Let h = -401/42 - -59/6. Which is the nearest to -2? (a) h (b) 1/4 (c) n
c
Let d be 3*5*(-2)/(-120). Which is the closest to -0.1? (a) d (b) -2 (c) 1
a
Let f = 0.06 + 2.94. Let d = 2.95 + 0.05. Let c be -11 + 8 + 6/4. What is the closest to f in d, c, -5?
d
Suppose 0 = 4*y - 12*y. Which is the closest to -1? (a) 5/3 (b) -0.5 (c) y
b
Let i = -4.11 - -0.11. Which is the nearest to 2? (a) 4 (b) i (c) -0.1
a
Let f = 40 - 35. What is the closest to 0 in -2/9, -11, f?
-2/9
Let s = 2/303 + 1507/1212. Let j = 1 - 0. Which is the closest to j? (a) s (b) -4 (c) -0.3
a
Let o = -0.3 - -0.4. Let y = -1 + 0.8. Let i = o + y. What is the closest to i in -1/4, 3, -0.3?
-1/4
Let l = -2.009 - -0.009. Which is the closest to 2? (a) 5 (b) l (c) 4/7
c
Let m = 0 + 1. Let w = -7 - -7.8. Let h = w - -0.2. Which is the nearest to h? (a) 3 (b) m (c) -0.2
b
Let r = 3.64 - 0.14. Let l = 9 - 12. Let i = r + l. What is the closest to 1 in -1, -1/4, i?
i
Let v = 0.1 - -0.3. What is the nearest to 1 in -0.3, v, -2/7?
v
Let y = -12/11 + 35/22. What is the nearest to y in 2, 0.4, -3?
0.4
Let w = 0.5 + -0.3. Let g = w - -0.2. Which is the closest to -2/3? (a) 2/7 (b) g (c) 1/2
a
Let y = -0.1 - -0.3. Let x = 151 - 147. Which is the closest to -2? (a) x (b) -0.1 (c) y
b
Let d = -0.27 + 0.09. Let y = 0.58 + d. Which is the closest to -1/6? (a) y (b) 4 (c) 0.5
a
Let m = -13 - -12. What is the nearest to 0 in -4/3, -0.3, m?
-0.3
Let n = 0.4 + 0. Let y = 0.4 - n. Let r = y - 2. What is the nearest to 0 in 1/8, r, -3/7?
1/8
Let z(k) = -3*k + 9. Let t be z(12). Let l be ((-36)/t)/(2/(-6)). Which is the nearest to 2? (a) -3 (b) l (c) 1
c
Let z = 7 - 6.9. Let u = -0.1 + z. Let g = 0.2 - -0.2. What is the closest to 1 in -0.2, u, g?
g
Let q(s) = s**2 + 3*s - 10. Let h be q(-5). What is the closest to 1/4 in -1, h, 2?
h
Let d be 1 + 1 + -1*4. Let n be d/(-2) - 3/2. Suppose 6 = -36*m + 38*m. Which is the nearest to n? (a) m (b) 2/7 (c) 1/6
c
Let p = -0.3 - -0.2. Let a be (-3)/18*(-4)/3. What is the nearest to p in 3/5, a, 0.5?
a
Let m = 15 + -12. Let u = 0 - 0. Let o = 3/11 + -1/44. Which is the cl | {
"pile_set_name": "DM Mathematics"
} |
0, 0*r + 5*r = m + d. Let v = 15 + r. Does 4 divide v?
False
Let c(a) = -2*a**2 - 2*a - 3. Let p be c(-3). Suppose 5*b + 33 = 2*y, -8*y + 3*y + b = -94. Let d = y + p. Is d a multiple of 4?
True
Does 15 divide 1390/(15/((-225)/(-10)))?
True
Suppose -2*t + 236 = -3*o, -3*t + 88 = -3*o - 269. Suppose -t + 13 = -4*i. Is 7 a factor of i?
False
Let y = -37 - -44. Does 6 divide (y/14)/(1/52)?
False
Let l be (-12)/4 - (-5 + -1). Suppose -k = 2*k - 3*s - 177, 0 = -l*k + 2*s + 174. Is 14 a factor of k?
True
Let x(l) = l**2 + 10*l + 7. Let a be x(-10). Suppose j + 6 = -4*v + 13, 0 = -2*v + 3*j + a. Suppose 2*t + v*g = 78, -8 = -5*g + 3*g. Is t a multiple of 13?
False
Let w(k) = -k**3 - 12*k**2 + 3. Let x be w(-12). Suppose -3*t + x = 0, 5*o - 2*t = 2*o + 466. Is o a multiple of 23?
False
Let a = 158 + 46. Does 17 divide a?
True
Let r be 165 + 3/(12/16). Suppose 259 = 4*m - r. Is 40 a factor of (-14 + m)*(-2)/(-3)?
False
Let f = 137 + 73. Let i = -149 + f. Does 33 divide i?
False
Let y(u) = u**3 + u**2 - 9*u + 2. Suppose 3*b + 2*c - 5 = 0, 5*b + 5*c - 1 = 4. Is 11 a factor of y(b)?
True
Let i(h) = -h**2 - 13*h + 2. Let g be i(-13). Suppose 1274 - g = 4*u. Does 14 divide u?
False
Suppose -h + 5*c + 764 = -476, -2*h + 2*c + 2512 = 0. Does 70 divide h?
True
Let d be -3*3/(-27)*-27. Is 39 a factor of 12/d*213/(-2)?
False
Let w(d) = -d**2 + 13*d - 13. Suppose 3*h - 13 = -1. Suppose 11 = 2*o + 3*a - 2, -1 = o + h*a. Does 9 divide w(o)?
True
Let b = 78 + 14. Let d be 2*4*(-13)/2. Let q = d + b. Is 11 a factor of q?
False
Is 27 a factor of 3397 + (-6 - (3 + -20 + 6))?
True
Let y(n) = -n**3 - 13*n**2 - 7*n - 29. Let i be y(-13). Suppose 0 = -56*z + i*z - 54. Is 9 a factor of z?
True
Let w = 347 - 235. Is 16 a factor of w?
True
Let v(w) = -2*w + 3*w - 2*w - 8 + 1. Let q be v(0). Is 1*(-8 - -2)*q a multiple of 14?
True
Suppose -2*w - 5*s = -1747, -14*w - 5*s - 4315 = -19*w. Does 11 divide w?
False
Is ((1225/15)/(-7))/(2/(-156)) a multiple of 65?
True
Suppose 9*z = 27*z - 1134. Is 11 a factor of z?
False
Suppose x - 4*b + 1338 = 0, 3*x - 2*b + 2883 = -1161. Is 11 a factor of (27/(-5) + 1)/(45/x)?
True
Let c(w) = -w**2 - 15*w + 1. Let o be c(-11). Let k = o - 39. Is k a multiple of 2?
True
Suppose 5*j + 10 = 5*o, -3*o + 5*j = -4 - 0. Suppose -o*w - 10 = -19. Let y(s) = 2*s**2 - s - 1. Is 14 a factor of y(w)?
True
Let d(r) = -2*r + 13. Let j be d(5). Suppose 4*w + j*x = -75, 0 = 2*w + x + 3*x + 50. Does 2 divide (1*3)/((-9)/w)?
False
Let u(h) = -3*h + 31. Let l be u(0). Let o = l - -35. Is 11 a factor of o?
True
Let q = 69 + -27. Suppose 4*y + q = 6*y. Let t = -3 + y. Is 11 a factor of t?
False
Suppose 4*f - 110 = 134. Let a = f + 299. Suppose 0 = y - 6*y + a. Does 24 divide y?
True
Suppose 4*n - 3334 - 7419 = -3*u, 0 = -4*n + 7*u + 10723. Is n a multiple of 9?
False
Let k = 991 + -60. Is k a multiple of 7?
True
Is (-2 + 1)/(-8*12/164160) a multiple of 6?
True
Let q = -95 - -179. Is 28 a factor of q?
True
Suppose -16 = -4*w, 2*v + 291 = v - 2*w. Let i = v - -136. Let p = i + 232. Does 15 divide p?
False
Let d = -8 - -23. Suppose d*q - 6 = 12*q. Suppose 0 = -2*h - 3*o - q*o + 116, o - 4 = 0. Is 16 a factor of h?
True
Suppose -3*n + 4*u + 1349 = -1365, -n + 2*u + 906 = 0. Is n a multiple of 82?
True
Let v be 2*2/(-16)*-28. Suppose 5*j = i + 9, -3*j = -6*j - i + v. Suppose m + j = 19. Is m a multiple of 17?
True
Suppose 2*a = 44 + 102. Suppose -37 - a = -5*o. Is (-4)/o - 11250/(-165) a multiple of 13?
False
Let n(m) = -m**3 + 7*m**2 + 8*m + 1. Suppose 5*t - t - 32 = 0. Let s be n(t). Is 14 a factor of 1/s + (-54)/(-2)?
True
Suppose -3*x + 4*x + 4*i = -13, -2*i = 4*x - 4. Suppose -309 = -0*y - x*y. Suppose -2*g + y = 5*z + 18, -g + 50 = 4*z. Is 10 a factor of g?
True
Let k be 4/22 - 200/(-110). Suppose k*l - 3*i - 279 = 0, 0 = -2*i + 7 - 1. Suppose -8*c + 12*c - l = 0. Does 12 divide c?
True
Let k be 9/6*(-402)/(-9). Let q = 295 - k. Does 13 divide q/14 + (-2)/7?
False
Suppose -3*p + 5*n + 40 = 13, -36 = -4*p - 4*n. Let y(t) = -t**2 + 11*t - 19. Let h be y(p). Does 10 divide 1 + h + (12 - -48)?
True
Suppose 2*o + 1 = -r, -o - 2*o - 3 = r. Let a = r - 13. Is 4 a factor of a/65 - 184/(-13)?
False
Let l be (2*(2 - 1))/((-18)/(-27)). Suppose l*j - 4*j = -k - 61, 2*k + 248 = 4*j. Is j a multiple of 21?
True
Suppose 5*j + 6 = 26. Suppose j*w = -c - 0*w + 45, -w = -4. Does 3 divide c?
False
Suppose 125*c - 130*c = -65. Is c a multiple of 7?
False
Suppose 6*g = 7*g - 2. Suppose -g*j + 163 = 43. Is 12 a factor of j?
True
Suppose 3*g - 3*u = -7*u - 12, 0 = g - 2*u + 4. Let y(p) = -p**2 - 5*p + 1. Let n be y(g). Suppose -m + n = -44. Does 10 divide m?
False
Does 24 divide (-9)/27*591/(-2)*10?
False
Let f(s) = -s**3 + 17*s**2 - 18*s + 50. Is f(16) even?
True
Let k(q) be the third derivative of 2/3*q**4 + 0*q - 1/60*q**5 + 0 - q**2 - 5/3*q**3. Is 22 a factor of k(11)?
False
Let h(t) be the second derivative of 11*t**4/6 + 5*t**3/6 + 2*t**2 + 33*t. Does 11 divide h(-3)?
True
Let y(z) = 20*z**2 - 11*z - 4. Is y(5) a multiple of 49?
True
Suppose 0 = q + 2*q. Suppose 4*o - 2*n - 34 = q, 27 = -4*o - 5*n + 82. Does 7 divide o?
False
Let z = 31 + -26. Let v be (-2 - -1)*(-3 + 3). Let c = z - v. Does 5 divide c?
True
Let p = 5 + 2. Let x be (-112)/(-5)*(p + -2). Let h = x - 76. Does 12 divide h?
True
Let u be (3/6)/(-4 - (-690)/172). Suppose 52 = o + u. Is o a multiple of 4?
False
Suppose 0 = -2*x + 5*x + 4*o - 196, -3*o - 108 = -2*x. Suppose 0 = 8*i - 6*i - x. Is 10 a factor of i?
True
Let w be (-1)/4 - 526/8. Let u be (-4)/10 - w/15. Suppose u*f + 0*f - 40 = 0. Does 3 divide f?
False
Let l be (-19 + 3)/4 + 9. Suppose l + 7 = 6*t. Suppose -t*r - 3*r = -210. Is r a multiple of 21?
True
Let f be 7/(273/6) - 150/(-39). Suppose 3*q - 344 = u, -4*q + 0*u + f*u = -456. Is 24 a factor of q?
False
Suppose -3*n + 68 + 280 = 0. Does 16 divide n?
False
Let m(b) = b**2 + 15*b + 225. Does 3 divide m(-32)?
False
Let x = -75 + 29. Let u = x - -62. Does 16 divide u?
True
Suppose 0 = -0*x + 2*x + 46. Let a = 4 + -44. Let y = x - a. Is 3 a factor of y?
False
Let y(u) = 2*u**3 - 12*u**2 + 5*u + 8. Let r be y(8). Suppose -4*p + 3*h - h = 590, -2*p + 4*h = r. Let q = p - -206. Does 20 divide q?
True
Let a(d) = 2*d**2 + d - 5. Let z be a(9). Let h = z + -111. Suppose -m + h = 1. Does 27 divide m?
True
Suppose 8 = 8*b - 24. Suppose -4*h + 86 = -s, -h - b*s = h - 34. Is h even?
False
Suppose 87*t - 76*t = 19833. Is 9 a factor of t?
False
Let l(i) = -11*i**2 - 3*i - 4. Let v be l(-2). Let b = v + 79. Does 2 divide b?
False
Let r = -10 - -14. Suppose 0 = r*l - 20, 2*l + 516 = 2*s + 6*l. Let q = s - 124. Does 34 divide q?
False
Is 114 a factor of ((-171)/(-15))/(11 + (-327)/30)?
True
Suppose 0 = z - 44 - 532. Suppose -2*x - 4*x = -z. Does 32 divide x?
True
Let o(z) = 2*z**3 + z. Let j be o(1). Let m be -3*j/(36/(-8)). Does 16 divide m/(-3) + (-402)/(-9)?
False
Suppose -9*t = -2949 - 4089. Is t a multiple of 17?
True
Let m = -6 - 9. Let u = -15 - m. Suppose u = -6*l + 5*l + 25. Is 5 a factor of l?
True
Let v(z) = 4*z - 9. Let s be (-1)/((-148)/(-72) + -2). Let d = -9 - s. Is 9 a factor of v(d)?
True
Let d = -2 + 5. Let x = 2 + d. Suppose x*t = 34 + 156. Does 19 divide t?
True
Suppose -6*n + 54 = -3*n. Let x = -17 - -44. Let t = x - n. Is 3 a factor of t?
True
Is 2 a factor of -1 - ((-36)/10)/((-56)/(-140))?
True
Suppose 7 - 3 = u. Suppose 3*i + s = -i + 702, -u*i + 5*s + 690 = 0. Is 25 a factor of i?
True
Let y be 2*(-7)/(28/24). Let q be (-39)/(-9) - (-4)/y. Suppose -3*k - 97 + 27 = -q*l, -4*k = -2*l + 40. Is l a multiple of 8?
True
Is -5 + 5 - 3/2*-98 a multiple of 10?
False
Let a(v) = 23*v**2 - 6*v - 12. Does 9 divide a(4)?
False
Let r(o) = -17*o - 20. Let k be r(-8). Let j = k - 34. Does 14 divide j?
False
Suppose 2*k - 6*k + 2*c + 2452 = 0, -2*c - 3067 = -5*k. Suppose 0 = -5*w + 5*i - k, 0 = -5*w - 0*i - 4*i - 597. Let m = -76 - w. Does 15 divide m?
True
Let z = 1293 - 715. Is z a multiple of 21?
False
Does 57 divide ((-88)/20)/((-1)/(125/5))?
False
Suppose w + 2*v - 117 = -0*w, -w = -4*v - 141. Suppose 0 = 2*u + 3*x - 195, -u = -3*x - x - w. Does 14 divide u?
False
Suppose -102 = -34*u + 68. Suppose 0*w - 2*w = 0. Suppose w*p + u*p - 65 = 0. Does 4 divide p?
False
Let p be (-114)/(-15) + 1 - 4/(-10). Suppose | {
"pile_set_name": "DM Mathematics"
} |
*i**4 + i - 8*i**j - 3*i wrt i?
-72*i**2
Let f(p) be the first derivative of -11*p**6/15 + 17*p**3/6 + 3*p + 13. Let z(b) be the first derivative of f(b). Find the second derivative of z(s) wrt s.
-264*s**2
Let b(z) be the second derivative of -z**6/15 + 51*z**5/10 + 64*z**4 + 418*z + 1. What is the third derivative of b(f) wrt f?
-48*f + 612
Let a(k) be the second derivative of 19*k**8/28 - 38*k**4/3 + 747*k. What is the third derivative of a(j) wrt j?
4560*j**3
Let t(q) = q**3 - 30*q**2 - 23*q + 317. Let n(z) = z**3 - 25*z**2 - 22*z + 318. Let j(c) = 6*n(c) - 5*t(c). Find the first derivative of j(r) wrt r.
3*r**2 - 17
Let b(c) = 11*c**3 - 125*c**2 + 50*c - 2. Let i(h) = -9*h**3 + 123*h**2 - 49*h + 2. Let n(l) = -4*b(l) - 5*i(l). Find the second derivative of n(s) wrt s.
6*s - 230
Let x(y) = y**2 + y. Let r(n) be the first derivative of 5*n**4/2 + 8*n**3/3 + 7*n**2 - 29. Let g(w) = -r(w) + 8*x(w). Find the second derivative of g(d) wrt d.
-60*d
Find the second derivative of -h + 28*h**2 - 95 - 12*h + 11*h wrt h.
56
Let n = 2126 + -2124. Let g(c) be the first derivative of 0*c**4 + 7 + 0*c**n + 0*c + c**3 + 7/5*c**5. What is the third derivative of g(d) wrt d?
168*d
What is the second derivative of 52*i**5 + 416*i - 11*i**5 + 249*i**5 wrt i?
5800*i**3
Let v(f) = 4*f - 14. Let d be v(4). Find the third derivative of -352*j + 352*j + 13*j**d + 22*j**6 wrt j.
2640*j**3
Let m(a) be the second derivative of 0 + 1/2*a**3 + 10*a - 5/6*a**4 + 0*a**2. Find the second derivative of m(b) wrt b.
-20
Find the second derivative of 369*z**3 - 10 + 29 - 1184000*z + 1184003*z wrt z.
2214*z
Suppose 1 + 13 = 4*u - 5*l, -5*l = 5*u + 5. Let f be -16*((-4)/(-8) - u). What is the second derivative of f*o**2 + 10*o**2 - 3*o - 13*o**2 wrt o?
10
Let j(m) = 7*m**2 + 2*m + 1. Let x be j(-1). Find the second derivative of 9*o + 2*o**3 - x*o - 8*o**3 + o wrt o.
-36*o
Suppose 3*m = 20 - 8. Suppose -m*b + 0*b = -24. What is the derivative of 1 + 4*j**2 - 2 - b*j**2 + 6*j**2 wrt j?
8*j
Let f be -4*7/(-4) - -4. Find the second derivative of -f*l**5 - 28 - 2*l + 28 wrt l.
-220*l**3
Let h(t) = 8 - 14*t**2 + 19*t**2 - 10. Let l(n) = 3*n**2 - 1. Let o(c) = 4*h(c) - 7*l(c). Differentiate o(s) wrt s.
-2*s
Let n(l) be the second derivative of l**3 + 0 - 1/10*l**6 + 0*l**2 + 0*l**5 + 0*l**4 + 6*l. What is the second derivative of n(t) wrt t?
-36*t**2
Let n(u) be the second derivative of -41*u**9/15120 - 4*u**5/15 + 9*u**4/2 - 26*u - 1. Let o(r) be the third derivative of n(r). Differentiate o(q) wrt q.
-164*q**3
Let n(p) be the third derivative of 31*p**5/15 + 92*p**3/3 - 8*p**2 + 3*p. Differentiate n(u) wrt u.
248*u
Let d(n) = 45*n**3 - 35*n**2 - 45*n - 190. Let i(g) = 5*g**3 - 4*g**2 - 5*g - 21. Let h(k) = 4*d(k) - 35*i(k). What is the first derivative of h(o) wrt o?
15*o**2 - 5
Let v(n) be the third derivative of -2/3*n**4 + 0 + 0*n + 0*n**3 + 3/35*n**7 + 0*n**5 - 15*n**2 + 0*n**6. What is the second derivative of v(w) wrt w?
216*w**2
Let k(p) = -p - 9. Let c(r) = -r**3 + 7*r**2 - r - 6. Let w be c(7). Let i be k(w). Find the second derivative of j**4 - 6*j**i - j - 3*j wrt j.
-60*j**2
Let m = 13 - -2. Differentiate 55 - 21 - 20 + m*f**2 with respect to f.
30*f
Let c be (90/(-25) + 4)/(2/60). What is the third derivative of 3*w**2 + 8*w**2 + c*w**4 + 6*w**4 wrt w?
432*w
Let h(l) = 4*l**2 - 43*l - 399. Let m(z) = -2*z**2 + 21*z + 194. Let r(b) = 3*h(b) + 5*m(b). What is the derivative of r(a) wrt a?
4*a - 24
Let h = 19 + -37/2. Let o(t) be the first derivative of -h*t**2 + 0*t**3 + 0*t + 3/4*t**4 + 2. Find the second derivative of o(g) wrt g.
18*g
Let o(y) be the first derivative of -3*y**5/5 - y**3/3 - 225*y + 209. Differentiate o(j) with respect to j.
-12*j**3 - 2*j
Let d(j) = 795*j**2 - 4*j + 642. Let q(t) = -3178*t**2 + 18*t - 2564. Let m(x) = -9*d(x) - 2*q(x). What is the derivative of m(z) wrt z?
-1598*z
Let r(l) be the second derivative of 13*l**7/2 - l**5/20 + 31*l**4/12 - 2*l**2 - 528*l. Find the third derivative of r(x) wrt x.
16380*x**2 - 6
Let u(w) = -5*w**3 - 5*w**2 + 2*w + 95. Let n(p) = 7*p**3 + 6*p**2 - 3*p - 95. Let j(x) = 2*n(x) + 3*u(x). What is the first derivative of j(g) wrt g?
-3*g**2 - 6*g
Let t(f) = f**3 + f**2 + f. Let x = -43 - -42. Let r(s) = 25*s**3 - 2*s**2 - 2*s + 26. Let g(b) = x*r(b) - 2*t(b). Differentiate g(y) with respect to y.
-81*y**2
Suppose -5*b - 5 = -5*p, 0*b + 3*b - 2*p = 0. What is the derivative of -32*x**2 - 1 + 59*x**b - 9*x**4 - 27*x**2 wrt x?
-36*x**3
Let l(x) = -53*x**3 - 28*x**2. Let o(i) = -13*i**3 - 7*i**2. Let q be 8/20 + (-32)/(-20). Let s(h) = q*l(h) - 9*o(h). Find the third derivative of s(y) wrt y.
66
Let y(k) = -16*k**2 - 6*k - 208. Let p(t) = -47*t**2 - 17*t - 625. Let u(q) = 2*p(q) - 7*y(q). Find the first derivative of u(h) wrt h.
36*h + 8
Let n be 22/5 - (-64)/(-160). Let c = 5 - 3. What is the second derivative of 2 - 9*i - 6 - 8*i**c + n wrt i?
-16
Let o(d) = -d + 10. Let s be o(8). Find the second derivative of 9*a**4 - 5*a - 5*a**4 - 4*a - s*a**4 wrt a.
24*a**2
What is the second derivative of -51*l**2 + 100*l**2 + 97*l + 107*l**2 - 9*l**2 wrt l?
294
Let r(s) be the second derivative of -28*s**7/3 + 41*s**3/6 + 3*s - 60. Find the second derivative of r(m) wrt m.
-7840*m**3
Suppose -5*s - 6 = h, h + 3*s - 2 = 2*s. Differentiate 3*r**4 + h*r**4 + 3 - 9 wrt r.
28*r**3
Let f = -27 + 23. Let a = -15 - -6. Let q(h) = 11*h**2 - 1. Let s(m) = -5*m**2. Let c(l) = a*s(l) + f*q(l). Find the first derivative of c(o) wrt o.
2*o
Let r(s) = s**2 - 6*s - 8. Let y be r(7). Let m(z) = 5*z**2 - z - 1. Let k be m(y). What is the second derivative of -8*g - 31 + 31 + 3*g**k wrt g?
60*g**3
Let i(n) = 2*n**2 - 3*n. Let k be i(2). Find the second derivative of -4*o**2 - 18*o + 0*o**2 + o**k + 17*o**2 wrt o.
28
Let n = 590 + -587. Let y(m) be the first derivative of 0*m**2 - 8 + 8*m + 10/3*m**n. Differentiate y(o) with respect to o.
20*o
Let r(q) be the first derivative of -9*q**4/4 + q**3 + 110*q - 117. What is the derivative of r(w) wrt w?
-27*w**2 + 6*w
What is the third derivative of -3*x**2 + 14*x - 184*x**4 + 64*x**4 + 5*x**2 - 240*x wrt x?
-2880*x
Let v(g) be the second derivative of g**6/30 + 23*g**5/10 + 53*g**4/4 - 32*g + 1. Find the third derivative of v(i) wrt i.
24*i + 276
Find the third derivative of 37*p**2 - 140910*p - 3 + 140910*p + 917*p**3 wrt p.
5502
Let b(f) be the second derivative of 537*f**5/20 - f**3/6 - 377*f**2/2 + 674*f. Differentiate b(p) with respect to p.
1611*p**2 - 1
Let t(c) be the third derivative of c**8/240 - c**5/30 + c**3/6 + c**2. Let v(g) be the first derivative of t(g). Find the second derivative of v(l) wrt l.
84*l**2
Let z(o) be the second derivative of -7*o**6/5 + 64*o**2 + 20*o. What is the derivative of z(p) wrt p?
-168*p**3
Let m(r) be the second derivative of r**6/6 + 19*r**5/60 - 15*r**2/2 - 10*r. Let h(k) be the first derivative of m(k). Find the third derivative of h(w) wrt w.
120
What is the third derivative of 3*f - 9*f**5 - 2*f**6 + 5*f**2 + 30*f + 2*f**5 + 84*f**5 + 32*f wrt f?
-240*f**3 + 4620*f**2
Let b(h) be the third derivative of -71*h**7/210 + h**4/24 + h**3/2 - 60*h**2. Find the first derivative of b(t) wrt t.
-284*t**3 + 1
Let q be ((-2)/(-4) - 0)*42/7. Let d = 1 + 0. Differentiate 6*f + d - 3 + q wrt f.
6
Let t(h) be the first derivative of 0*h**6 + 0*h**5 + 0*h**2 + 32/7*h**7 + 0*h + 0*h**4 + 41/3*h**3 - 27. What is the third derivative of t(o) wrt o?
3840*o**3
Differentiate -317 - 33*o**2 - 16 + 4*o**2 + 3*o**2 - 2*o**3 with respect to o.
-6*o**2 - 52*o
Let o(r) be the third derivative of r**9/504 - r**8/112 - 59*r**5/60 + r**3/2 - 44*r**2 - 1. Find the third derivative of o(p) wrt p.
120*p**3 - 180*p**2
Let f(j) be the second derivative of 0 + 25/2*j**2 + 0*j**4 + 0*j**3 + 23*j - 9/20*j**5. What is the derivative of f(b) wrt b?
-27*b**2
Differentiate 0*g**2 - g**2 - 24 + 6*g**3 + 166 - g**2 with respect to g.
18*g**2 - 4*g
Find the third derivative of -2*q**3 - 159*q**2 + 3*q**5 - 25*q**6 + q**5 - 4*q**5 wrt q.
-3000*q**3 - 12
Let j(b) be the first derivative of 107*b**5/5 + 103*b - 376. What is the derivative of j(o) wrt o?
428*o**3
Let c = -329/2 + 167. Let i(s) be the second derivative of 1/2*s**3 + 2*s + 0 - c*s**2. Differentiate i(p) with respect to p.
3
Find the | {
"pile_set_name": "DM Mathematics"
} |
- 64*z**2 - w*z + 15*z**3 - 20 + 26*z + 2 + 22*z.
(z - 3)*(3*z - 2)*(5*z - 3)
Suppose 33*x = -23*x - 40936. Let v = x + 734. Factor 0 + 1/3*w**4 + 2/3*w**v - 1/3*w**2 - 2/3*w.
w*(w - 1)*(w + 1)*(w + 2)/3
Determine g so that -114*g**3 + 377*g + 42*g**3 + 181*g - 2279*g**4 - 254 + 2282*g**4 - 58 - 177*g**2 = 0.
-4, 1, 26
Factor -21200/3*b - 10000 - 36*b**3 - 1/3*b**4 - 1104*b**2.
-(b + 2)*(b + 6)*(b + 50)**2/3
Factor -154 - 96 - 39*r - 49*r**2 - 96*r + 44*r**2.
-5*(r + 2)*(r + 25)
Suppose 2*t + 4*y - 15 = 29, 8*t = 4*y + 76. Factor -t*v - 50*v**2 - 14/3*v**4 + 0 - 88/3*v**3.
-2*v*(v + 3)**2*(7*v + 2)/3
Let j(k) be the first derivative of k**4/22 + 920*k**3/11 + 634800*k**2/11 + 194672000*k/11 + 865. Factor j(o).
2*(o + 460)**3/11
Factor 3831/4 + 957*v - 3/4*v**2.
-3*(v - 1277)*(v + 1)/4
Suppose -5*f + g = 32, -2 = -4*g + 6. Let k(s) = s**2 - s + 1. Let h(a) = -7*a**2 + 3*a - 2. Let n(d) = f*k(d) - h(d). Factor n(o).
(o - 1)*(o + 4)
Suppose 4*p + 36 = 3*z + z, -3*z - 5 = 5*p. Factor 3*l**2 - 2*l**2 - 2*l**4 + l**3 - 96*l**z + 95*l**5 + l**4.
-l**2*(l - 1)*(l + 1)**2
Suppose -3*f = -18, -2*q - 105*f + 109*f = 20. Let r(t) be the first derivative of 18 + 1/7*t**q - 2/21*t**3 + 0*t. Factor r(y).
-2*y*(y - 1)/7
Let i(y) be the first derivative of y**3/5 + 39*y**2/10 + 18*y - 2361. Factor i(p).
3*(p + 3)*(p + 10)/5
Let r = 36116 + -1083479/30. Let w(o) be the first derivative of -r*o**3 + 0*o + 48 + 1/20*o**2 - 1/40*o**4 + 1/50*o**5. Suppose w(l) = 0. What is l?
-1, 0, 1
Let t(x) be the first derivative of 93 + 80/3*x**3 + 7*x**4 - 4/5*x**5 - 264*x**2 - 576*x. Suppose t(y) = 0. Calculate y.
-4, -1, 6
Let q = 72 + -61. Suppose 0 = -q*u - 0*u + 44. Factor 20*g**2 + g - u*g**4 + 7*g + 294*g**3 - 4*g**5 - 282*g**3.
-4*g*(g - 2)*(g + 1)**3
Let l be (-56)/(-126)*((-475)/(-40) + -10). Factor -2/3*q + l - 1/6*q**2.
-(q - 1)*(q + 5)/6
Let w(h) = 199*h - 4970. Let v be w(25). Let -8/7*x**3 - 4/7*x**2 - 4/7 + 8/7*x**4 - 2/7*x**v + 10/7*x = 0. Calculate x.
-1, 1, 2
Let l(x) = -14*x**4 - 320*x**3 + 927*x**2 - 890*x + 336. Let a(g) = -g**4 - g**3 + 3*g + 2. Let t(m) = -26*a(m) + 2*l(m). Find f, given that t(f) = 0.
-310, 1
Let b(f) be the third derivative of -f**6/120 - 4*f**3/3 + 11*f**2. Let q be b(-2). Find g, given that q*g + 2/3*g**3 + 0 - 2/3*g**2 = 0.
0, 1
Let h(f) be the first derivative of -2*f**3/33 - 53*f**2/11 - 204*f/11 - 6887. Determine x, given that h(x) = 0.
-51, -2
Let l(z) be the first derivative of 4*z**5/5 + 22*z**4 - 116*z**3/3 - 276*z**2 - 2653. Determine s so that l(s) = 0.
-23, -2, 0, 3
Let j(o) be the second derivative of 77*o + 0*o**2 - 2 + 1/3*o**4 - 8*o**3. Suppose j(z) = 0. What is z?
0, 12
Let b = 2850/7819 - 88/1117. Determine v so that -104/7*v + 1352/7 + b*v**2 = 0.
26
Let g = -2/67 + 286/603. Let f(n) = -368*n + 10674. Let x be f(29). Factor g*z**x + 2/9*z**5 + 2/3*z - 4/9 - 8/9*z**3 + 0*z**4.
2*(z - 1)**3*(z + 1)*(z + 2)/9
Factor -y**4 - 5*y**4 - 59724*y**3 + 14*y + 59774*y**3 - 58*y**2.
-2*y*(y - 7)*(y - 1)*(3*y - 1)
Let g(n) = 34*n**2 + 13*n + 77. Let i be g(-15). Suppose 12632*j**3 - 768*j + i*j**3 + 19596*j**2 - 16459*j**2 + 36055*j**2 + 32 - 1488*j = 0. What is j?
-2, 2/71
Suppose -3*z - 27 = 1645*b - 1648*b, -4*z = -3*b + 22. Factor -1/5*u**z + 19/5*u - 6/5 + 2/5*u**4 - 4*u**2 + 6/5*u**3.
-(u - 2)*(u - 1)**3*(u + 3)/5
Determine c so that -36864/5 + 956*c**3 - 183552/5*c - 5*c**4 - 226564/5*c**2 = 0.
-2/5, 96
Suppose 10*t - 72 = -8*t. Factor -20*g + 16 - 29 + t*g**2 + 13.
4*g*(g - 5)
Let y = -74723/3 + 24908. What is g in 361/3 + y*g**2 - 38/3*g = 0?
19
Let t(u) = 4*u**2 + 17*u - 45. Let n(r) = 26*r**2 - 16*r**2 - 6*r**2 - 46 + 18*r. Let d(j) = 5*n(j) - 6*t(j). Suppose d(b) = 0. Calculate b.
-5, 2
Let b(l) be the third derivative of 0*l**3 + 1/100*l**6 - 2/525*l**7 - 1/840*l**8 + 3 + 0*l - 1/15*l**4 + 2/75*l**5 - 15*l**2. Let b(w) = 0. What is w?
-2, 0, 1
Let y(r) = 2*r**4 + 20*r**3 - 64*r**2 - 62*r + 192. Let z(d) = -3*d**4 - 42*d**3 + 128*d**2 + 123*d - 384. Let x(m) = -5*y(m) - 2*z(m). Solve x(u) = 0.
-6, -2, 2
Let r be 47 + -2 + 2 + -1 + -1. Let p(k) be the second derivative of 6*k**2 - 32/5*k**6 + 156/5*k**5 - 19*k + r*k**4 + 47/2*k**3 + 0. Solve p(y) = 0.
-1/4, 4
Solve -121 - 23*q + 122 - 2*q**2 - q - 55 = 0 for q.
-9, -3
Let i be (1 - (-2)/(-10))*(-92)/(-10304). Let w(x) be the second derivative of 0*x**2 + 0 + 1/14*x**4 + 9*x + 3/14*x**3 + i*x**5. Factor w(y).
y*(y + 3)**2/7
Suppose 33/8*f**2 - 9/8*f - 135/4 = 0. What is f?
-30/11, 3
Let h(b) be the third derivative of 25/336*b**8 + 1 + 0*b**3 + 0*b + 0*b**4 - 13*b**2 - 9/5*b**6 + 11/15*b**5 + 17/14*b**7. Factor h(a).
a**2*(a + 11)*(5*a - 2)**2
Let a = 11310 + -11310. Let d(q) be the second derivative of a*q**2 - 1/6*q**3 + 0 - 1/60*q**4 - 16*q. Factor d(t).
-t*(t + 5)/5
Determine t so that 2853*t**2 + 5808 - 20*t**3 - 9152*t - 1347*t**2 - 2374*t**2 = 0.
-22, 3/5
Let x(t) be the first derivative of -2/5*t**5 + t**4 + 0*t + 0*t**2 - 172 + 0*t**3. Factor x(d).
-2*d**3*(d - 2)
Let j(c) be the first derivative of -c**6/12 - 2407*c**5/10 + 5516. Factor j(d).
-d**4*(d + 2407)/2
Let z = -1710 - -1674. Let h(c) = -12*c - 429. Let f be h(z). Determine t so that -12/7 - 36/7*t**f + 12/7*t**2 + 20/7*t + 16/7*t**4 = 0.
-3/4, 1
Let q(u) be the second derivative of -u**5/240 + u**3/24 + 4*u**2 + 27*u. Let s(t) be the first derivative of q(t). Determine p so that s(p) = 0.
-1, 1
Suppose 16/11*u**4 - 54/11*u**3 + 8/11*u**5 - 24/11 - 112/11*u - 158/11*u**2 = 0. Calculate u.
-2, -1/2, 3
Suppose 2497 - 833 = 13*h. Let a be (h/(-40))/((-20)/25). Factor 17/7*l**3 + 24/7*l**2 + 2/7 + 13/7*l + 4/7*l**a.
(l + 1)**2*(l + 2)*(4*l + 1)/7
Suppose -1738 = -19*h - 199. Find y, given that 110*y**2 + 107*y**2 + h*y - 335*y**2 + 84 + 115*y**2 = 0.
-1, 28
Let c(i) be the third derivative of i**5/80 - 479*i**4/16 + 229441*i**3/8 - 1781*i**2 - i. Factor c(b).
3*(b - 479)**2/4
Let v(h) = h**2 + 6*h + 4. Let u(n) = 2*n**2 + 16*n + 11. Let m(q) = 3*u(q) - 8*v(q). Let t(y) = y**2 - 36*y + 61. Let l(i) = -m(i) + t(i). Solve l(r) = 0.
2, 10
Let l(k) be the second derivative of k**7/42 + 14*k**6/15 - 8*k**5/5 - 736*k**4/3 + 8320*k**3/3 - 12800*k**2 - 1490*k. Factor l(u).
(u - 4)**3*(u + 20)**2
Let y(m) be the third derivative of m**5/30 + 17*m**4/24 - 26*m**3/3 - 48*m**2. Let i be y(-11). Factor 0 - 1/2*o**3 + i*o - 1/2*o**2.
-o*(o - 2)*(o + 3)/2
Suppose -44*i = 20*i - 168960. Let w be 1632/i + 4/22. Solve 0*h**4 - w*h**2 + 6/5*h + 2/5*h**5 + 4/5 - 8/5*h**3 = 0 for h.
-1, 1, 2
Let m(t) be the third derivative of -t**5/30 + 91*t**4/6 + 1834*t**2. Factor m(i).
-2*i*(i - 182)
Let z(p) be the third derivative of -p**8/1680 - p**7/175 - 3*p**6/200 - p**5/75 + 3*p**2 - 179. Solve z(c) = 0 for c.
-4, -1, 0
Let v(z) be the second derivative of -z**5/5 - z**4/3 + 16*z**3 - 72*z**2 - 876*z. Solve v(g) = 0.
-6, 2, 3
Let f(k) be the first derivative of -3*k**6/10 - 18*k**5/25 + 35*k**4/4 - 16*k**3 + 22*k**2/5 + 48*k/5 + 878. Solve f(a) = 0 for a.
-6, -1/3, 1, 4/3, 2
Let h be 39*(-49)/(-5733)*9. Factor 18*f - 4 - 15*f**2 + 7/2*f**h.
(f - 2)**2*(7*f - 2)/2
Let l(c) be the third derivative of c**5/600 - c**4/4 + 273*c**3/20 + c**2 + 3301*c. Factor l(z).
(z - 39)*(z - 21)/10
Let q(s) = -s**3. Let f(i) = -2*i**4 + 12*i**3 - 2*i**2 - 6*i + 4. Let t be (0 - 7)*(3 - (-81)/(-21)). Let l(o) = t*q(o) + f(o). Factor l(x).
-2*(x - 2)*(x - 1)**2*(x + 1)
Suppose 3*k - 13 = -4*z, 3*z - 5*k - 13 = 4. Factor -5 - 3*l**2 - 101*l - z + 1 + 42.
-(l + 34)*(3*l - 1)
Let g(r) be the second derivative of r**4/54 - 52*r**3/27 + 2015*r + 1. Factor g(a).
2*a*(a - 52)/9
Let k be (-3 - (-1)/5)/(2/(-60)). Let u = k + -81. Solve 0*w - 1/4*w**u + 0 + 1/4*w**2 = 0 for w.
0, 1
Let i(k) = -k**3 - 3*k**2 - 2*k. Let f be i(-2). Let c = 9/373568 - -933911/373568. Factor g**2 - 3/2*g**4 - c*g**3 + 0 + f*g.
-g**2*(g + 2)*(3*g - 1)/2
Let g be (-18)/(16 + -10) - -63. Suppose a - g = -2*p, 0 = 2*a - 26*p + 23*p - 99. Find x, given that 3/2*x**2 - 18*x + a = 0.
6
Let f(k) be the first derivative of k**6/75 + 3*k**5/25 + 2*k**4/5 + 8*k**3/15 - 15*k + 84. Let v(n) be the first derivative of f(n). Let v(t) = 0. What is t?
-2, 0
Let x(v) be the first derivative of -v**6/4 - 301*v**5/10 - 10193*v**4/8 - 40161*v**3/2 - 32670*v**2 + 71874*v + 277. Solve x(w) = 0 for | {
"pile_set_name": "DM Mathematics"
} |
tzttttz. Give prob of picking 1 t and 2 z.
1/7
Four letters picked without replacement from {o: 3, i: 5}. Give prob of picking 4 i.
1/14
What is prob of picking 2 q when two letters picked without replacement from {q: 5, b: 8, v: 3}?
1/12
Three letters picked without replacement from {j: 2, q: 6}. Give prob of picking 3 q.
5/14
What is prob of picking 1 a and 3 m when four letters picked without replacement from aamamamamaa?
14/165
Calculate prob of picking 2 i when two letters picked without replacement from {i: 3}.
1
Two letters picked without replacement from {m: 1, b: 1, x: 4, q: 4, j: 7}. Give prob of picking 1 j and 1 m.
7/136
Three letters picked without replacement from {m: 1, n: 1, g: 9}. What is prob of picking 1 m and 2 g?
12/55
Three letters picked without replacement from wakmakvamvkddm. What is prob of picking 1 m, 1 k, and 1 v?
9/182
What is prob of picking 1 c and 1 o when two letters picked without replacement from {e: 1, o: 1, c: 1, z: 1, k: 1, q: 2}?
1/21
Four letters picked without replacement from {p: 3, a: 2, i: 1, j: 1}. What is prob of picking 1 i, 1 a, and 2 p?
6/35
Four letters picked without replacement from {u: 5, s: 13}. Give prob of picking 4 s.
143/612
What is prob of picking 3 b when three letters picked without replacement from {r: 4, b: 6, h: 3, a: 2}?
4/91
Two letters picked without replacement from {o: 3, d: 15}. Give prob of picking 1 d and 1 o.
5/17
Calculate prob of picking 1 f and 2 k when three letters picked without replacement from sussfukususu.
0
Two letters picked without replacement from {r: 1, d: 1, h: 1, l: 5, m: 1}. Give prob of picking 1 h and 1 l.
5/36
Two letters picked without replacement from {a: 1, v: 3, g: 2, s: 1, e: 3, t: 1}. What is prob of picking 1 s and 1 a?
1/55
Calculate prob of picking 4 e when four letters picked without replacement from {r: 1, e: 14}.
11/15
Two letters picked without replacement from {b: 11, r: 4, e: 4}. What is prob of picking 1 b and 1 r?
44/171
Three letters picked without replacement from gpvtpgut. What is prob of picking 1 g, 1 t, and 1 v?
1/14
Three letters picked without replacement from {d: 7, u: 5}. Give prob of picking 3 d.
7/44
Four letters picked without replacement from kkkekoeoekokkkkeokk. What is prob of picking 1 o, 2 e, and 1 k?
22/323
What is prob of picking 2 m and 2 d when four letters picked without replacement from {d: 1, m: 1, s: 2, t: 1}?
0
Three letters picked without replacement from hzzz. What is prob of picking 3 z?
1/4
Four letters picked without replacement from {j: 7, l: 4, v: 3}. What is prob of picking 1 j and 3 v?
1/143
Two letters picked without replacement from {d: 9, i: 7, u: 3}. What is prob of picking 1 i and 1 u?
7/57
Two letters picked without replacement from jzzuyyjyjyyrzyrz. What is prob of picking 2 r?
1/120
Three letters picked without replacement from {o: 4, l: 4, a: 1, h: 2, t: 9}. What is prob of picking 1 o, 1 t, and 1 l?
12/95
Calculate prob of picking 1 h and 1 f when two letters picked without replacement from hqqwczf.
1/21
What is prob of picking 1 n and 1 b when two letters picked without replacement from hhgbhbhnhbnnnh?
12/91
Two letters picked without replacement from {y: 2, q: 3, n: 5}. What is prob of picking 1 y and 1 n?
2/9
What is prob of picking 2 g and 1 b when three letters picked without replacement from {g: 4, b: 1, w: 2, f: 8}?
6/455
Calculate prob of picking 2 n and 1 w when three letters picked without replacement from bnbwwwwbwwbbnbnwbw.
1/34
Three letters picked without replacement from squqqsussusmiumshumu. Give prob of picking 1 u, 1 q, and 1 s.
9/95
Three letters picked without replacement from {i: 5, q: 3, f: 8}. What is prob of picking 1 q and 2 f?
3/20
What is prob of picking 1 v, 2 f, and 1 c when four letters picked without replacement from vfvvnfcvsn?
2/105
Calculate prob of picking 3 r when three letters picked without replacement from {l: 12, r: 6}.
5/204
Four letters picked without replacement from {w: 2, q: 2, d: 1, u: 6}. Give prob of picking 1 w and 3 u.
4/33
Calculate prob of picking 3 g and 1 m when four letters picked without replacement from {q: 3, g: 6, m: 4}.
16/143
Three letters picked without replacement from {t: 12, f: 4, g: 4}. What is prob of picking 3 g?
1/285
Calculate prob of picking 2 q, 1 i, and 1 f when four letters picked without replacement from {f: 6, q: 3, i: 1, t: 5}.
6/455
Three letters picked without replacement from krvrvvrrvvrrrrrrr. What is prob of picking 2 r and 1 v?
55/136
Two letters picked without replacement from {t: 8, s: 1, e: 4}. What is prob of picking 1 s and 1 t?
4/39
What is prob of picking 1 h and 3 g when four letters picked without replacement from {e: 1, h: 2, g: 5, s: 1}?
10/63
Calculate prob of picking 2 i and 2 x when four letters picked without replacement from iiiiixxiiiiiiixi.
9/70
Four letters picked without replacement from {o: 1, n: 1, u: 3, i: 7, s: 1}. Give prob of picking 3 u and 1 i.
7/715
What is prob of picking 2 j when two letters picked without replacement from {j: 3, t: 8}?
3/55
Calculate prob of picking 2 u and 1 c when three letters picked without replacement from {i: 4, j: 1, q: 2, c: 4, u: 3, l: 3}.
3/170
Calculate prob of picking 2 t when two letters picked without replacement from tkkqttktkkkkk.
1/13
Three letters picked without replacement from {d: 1, w: 5, y: 1, q: 1, o: 1}. What is prob of picking 1 w, 1 q, and 1 d?
5/84
Two letters picked without replacement from {w: 6, d: 4, y: 3}. What is prob of picking 1 y and 1 w?
3/13
What is prob of picking 2 q, 1 c, and 1 k when four letters picked without replacement from {c: 1, q: 2, e: 2, i: 3, k: 2, m: 2}?
2/495
Calculate prob of picking 1 m and 2 c when three letters picked without replacement from ccppm.
1/10
Calculate prob of picking 2 q when two letters picked without replacement from cqqwwqqqccqcwccrc.
15/136
Two letters picked without replacement from thbbdej. Give prob of picking 1 e and 1 j.
1/21
What is prob of picking 2 e and 2 n when four letters picked without replacement from {n: 2, z: 3, k: 6, p: 1, j: 1, e: 2}?
1/1365
Three letters picked without replacement from zznnznzzzzzz. Give prob of picking 3 z.
21/55
What is prob of picking 2 w when two letters picked without replacement from {o: 7, w: 6}?
5/26
Calculate prob of picking 1 b and 2 a when three letters picked without replacement from {a: 2, b: 1, g: 1, x: 2, o: 2}.
1/56
What is prob of picking 2 k when two letters picked without replacement from kkmkmk?
2/5
Three letters picked without replacement from {p: 5, w: 15}. What is prob of picking 3 p?
1/114
Calculate prob of picking 2 y when two letters picked without replacement from ttttytttttytyttttttt.
3/190
Calculate prob of picking 2 c when two letters picked without replacement from mlqcmxyxymycymm.
1/105
Calculate prob of picking 1 w, 1 v, and 1 c when three letters picked without replacement from zmvwc.
1/10
Three letters picked without replacement from {o: 1, w: 2, c: 6, y: 4, n: 7}. What is prob of picking 2 w and 1 o?
1/1140
Three letters picked without replacement from ddqaddadadaddddqddzq. What is prob of picking 1 d, 1 q, and 1 a?
12/95
What is prob of picking 1 v and 1 i when two letters picked without replacement from ivui?
1/3
Calculate prob of picking 1 g, 1 n, and 1 q when three letters picked without replacement from gnnqnqgtnntnqmntngq.
32/323
What is prob of picking 3 r when three letters picked without replacement from rzrrrrrr?
5/8
What is prob of picking 3 p when three letters picked without replacement from dpdddpdppppdp?
35/286
Two letters picked without replacement from {v: 1, f: 3, h: 1, r: 2}. What is prob of picking 1 h and 1 v?
1/21
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {s: 2, f: 1, g: 1, i: 2, a: 1}.
1/21
Two letters picked without replacement from trx. What is prob of picking 1 x and 1 r?
1/3
Four letters picked without replacement from zzztzzzz. Give prob of picking 1 t and 3 z.
1/2
Four letters picked without replacement from hptpphththhothhhtth. Give prob of picking 3 t and 1 h.
15/323
Calculate prob of picking 1 k and 3 j when four letters picked without replacement from jaraukkkkukkjarjkkr.
2/969
Two letters picked without replacement from ajdjrajaaa. W | {
"pile_set_name": "DM Mathematics"
} |
termine k(v).
-2
Let a(i) = -i**2 + 2*i + 2. Suppose -44 = -4*z - 56. What is a(z)?
-13
Suppose 9 = -7*p + 51. Let v(b) = -2*b - 6. Calculate v(p).
-18
Let m(n) = 2*n**3 - 2 - 6*n**2 - 3*n**3 - 5*n + 1. Calculate m(-5).
-1
Let m(c) = -c + 2. Let s(b) = -b. Let o(a) = -m(a) - 3*s(a). Calculate o(-5).
-22
Let n(w) = -w**3 + w**2 - 1. Let d(m) = m**2 - m - 2. Let z = -23 + 23. Let k be d(z). Determine n(k).
11
Let c(g) be the first derivative of g**3/3 + g**2 - 3*g + 10. Determine c(-4).
5
Let w(v) be the first derivative of -v**4/4 + v**2 + 3. Let c(l) be the second derivative of w(l). What is c(-1)?
6
Let m(r) = -2 + 2 - r + 4. Suppose y = -0*y + 7. Let d(k) = k - 2. Let q be d(y). What is m(q)?
-1
Let k be 1 - (-5)/(10/4). Let r be (-44)/(-10) + (-6)/15. Let c(g) = g - 4 - 3 + r. Give c(k).
0
Suppose 12*r = 7 + 5. Let h(y) = -3*y**3 + 6*y**2 - 11*y + 8. Let i(g) = -g**3 + 2*g**2 - 4*g + 3. Let n(j) = 4*h(j) - 11*i(j). Give n(r).
0
Let m(s) be the first derivative of -3*s - 1/3*s**3 + 2 - 3/2*s**2. Suppose -5*q = -y + 5 - 19, 5*q - 26 = 4*y. Determine m(y).
-7
Let h(k) = -k + 13. Suppose -36 + 6 = -3*u. Calculate h(u).
3
Let c(t) = -t**2 + 3*t + 7. Suppose -26 = -5*o + 4*h, -3 = -2*o + 5*h + 4. What is c(o)?
-11
Let t = 37 - 40. Let r(q) = -q + 1. Calculate r(t).
4
Let f(z) = z**3 + z - z - z**2. Let a = -9 + 13. Suppose -a*v - 4*o = -2*v + 18, -2*o - 11 = -v. Give f(v).
0
Suppose 24 = -5*f - d + 2*d, -3*f - 3*d = 0. Let q(z) = z**2 + 3*z - 4. What is q(f)?
0
Let y(a) be the first derivative of -a**5/20 - a**4/6 + a**3/2 + a**2/2 - 6*a - 2. Let c(i) be the first derivative of y(i). Calculate c(-3).
1
Suppose 1 = 5*f - 3*r + 5, -3*r = 3*f - 12. Let y(n) = n**2 + 2*n - 1. Calculate y(f).
2
Let g(k) be the first derivative of -k**2/2 + 4*k - 4. Calculate g(-4).
8
Let z(f) = f**2 - f + 2. Let o = 5 - 2. Suppose 0 = -q - j + 6 - 3, -o = -3*q + 3*j. Calculate z(q).
4
Let u(l) = -l**3 - 3*l**2 - 2*l + 1. Let y(i) = -i**2 - 2*i - 3. Let q be y(-2). What is u(q)?
7
Let h(d) be the second derivative of d**6/120 - d**5/15 + 5*d**4/24 - 2*d**3/3 - 3*d**2/2 + 3*d. Let l(q) be the first derivative of h(q). What is l(3)?
2
Let c = -18 + 19. Let t(z) = -7*z + 1. Give t(c).
-6
Let z(h) = h**2 + 11*h - 19. Let r be z(-12). Let w(q) = -q**3 - 7*q**2 + q + 7. Calculate w(r).
0
Let o(g) = 3*g + 2. Let j be (1 + -1)/(-1 + -2). Suppose j = 5*d - 31 + 11. Suppose -11 - 1 = d*b. Calculate o(b).
-7
Let x(l) be the third derivative of -l**5/60 - l**4/12 + l**3/6 - 2*l**2. Suppose 0 = u - 4*g - 5, 3*u - 2 + 1 = 5*g. Calculate x(u).
-2
Let r(v) = v - 1. Let k be r(5). Suppose 3*u - k = u. Let f(n) be the second derivative of -n**4/6 + n**3/6 + n**2/2 - n. Calculate f(u).
-5
Let a(m) = 12 + m**3 - 162*m + 321*m - 159*m - m**2. Determine a(0).
12
Let y(m) = m + 7. Suppose -5*g = 4*s + 16, -3 - 6 = g - 5*s. Let a be 3 + (-7 - g/(-4)). Give y(a).
2
Let h(q) = 9*q. Let v(m) = -m**3 - 14*m**2 + m + 13. Let g be v(-14). Determine h(g).
-9
Let a(v) = -5*v. Let c(f) = 3 - 1 + f**2 - 9*f - 2*f**2. Let k be c(-9). Calculate a(k).
-10
Let o(f) = 3*f - 2. Let g be -2 - (0/1 + 1). Let n be (-2)/15*g*-5. Let d = 0 - n. What is o(d)?
4
Let d(g) = -3*g**2 - 3*g + 2*g**2 + 3*g + 5*g + 6. Suppose -r = l - 3, -4*l - 2*r + 36 = -6*r. Give d(l).
0
Let j(m) be the third derivative of m**6/120 - m**5/40 + m**3/2 - 3*m**2. Let d(v) be the first derivative of j(v). What is d(2)?
6
Let t = -5 + 10. Let u be (-4 + t)/((-1)/(-2)). Let d(r) = r**2 - 6*r**3 - 2*r + 3 + 3*r - u. Give d(-1).
7
Let w = -13 + 9. Let u = w + 7. Let s(h) = u*h - 4*h + 6 - 2 - h**2. Calculate s(-3).
-2
Let j(f) = -f**3 + f**2 + 2*f - 1. Let n be 1/(18/42) + 2/(-6). Determine j(n).
-1
Let j(x) = 9*x - 1. Let i be j(-1). Let y be 4/i*(8 + -3). Let f(w) = -2*w + 1. Give f(y).
5
Let t(f) = f**2 + 7*f - 1. Let u be t(-6). Let p(o) = -o**2 - 7*o + 2. Determine p(u).
2
Let f(k) = -k - 3. Let c(s) = -s - 3. Let g(h) = 3*c(h) - 4*f(h). Calculate g(6).
9
Let y(r) = -15 - r + 29 - 17. What is y(-7)?
4
Let a(b) be the first derivative of 3*b**2/2 - b + 3. Determine a(-3).
-10
Let a(t) be the first derivative of -2*t**3/3 + 2*t - 3. Suppose -2*q = c - 8, -1 = 2*c - 4*q + 23. Calculate a(c).
-6
Suppose 0 = 5*t - 0*t + 10. Let h be 3/t*4/6. Let x(k) be the second derivative of -k**5/20 + k**3/6 + k**2/2 - 4*k. Determine x(h).
1
Let p(j) = -2*j - 1. Let r(i) = i**2 - 13*i - 18. Let t be r(14). Determine p(t).
7
Let j(z) = -18*z**2 - 1. Suppose -5*l - 5 = -5*n, 3*l = 4*n + n - 7. Determine j(l).
-19
Let d(c) = c**3 + 7*c**2 + 7*c + 2. Let g be d(-6). Let a = g + 6. Let r(l) = -2 + a*l + 4*l - 4*l. Give r(5).
8
Let k(d) = 2*d**3 + 5*d**2 + 5*d + 5. Let z = 6 - 15. Let h(i) = 5*i**3 + 11*i**2 + 11*i + 11. Let y(u) = z*k(u) + 4*h(u). Give y(-1).
-3
Let v(y) = -5*y - 15. Let i(s) = -2*s - 5. Let x(j) = 11*i(j) - 4*v(j). Give x(5).
-5
Let i = 1 - 0. Let c(b) be the third derivative of -1/15*b**5 - 1/6*b**3 + 0 - 3*b**2 + 0*b + 1/12*b**4. What is c(i)?
-3
Let q(b) = -2 + 4*b - 5*b + 4. Let a = 55 - 61. What is q(a)?
8
Let n(w) = w**2 + 5*w - 6. Let k(j) = -4*j**2 - 5*j + 4. Let i be k(1). Determine n(i).
-6
Let i(h) = 4*h**2 - 5*h - 3*h + 7 - 2*h**2 - 8*h**2 + h**3. Give i(7).
0
Let z(d) be the second derivative of -d**4/12 + d**3/3 + d**2/2 + 10*d. Determine z(3).
-2
Let p(n) be the third derivative of n**5/60 + 7*n**4/24 - 13*n**3/6 + 5*n**2. Determine p(-9).
5
Suppose 0 = -3*p + 3*c + 12, 2*c + 8 = -3*p - 0*p. Let q(l) = -l + 6. Give q(p).
6
Let f(h) be the first derivative of h**4/4 + 2*h**3/3 - 2*h**2 - h - 2. Let q be 12*2/(-6)*-3. Suppose 0 = 3*g + g + q. Calculate f(g).
2
Suppose -z + 6 - 4 = 0. Let u(j) = -6*j**2 + j + 5*j**2 - z + 3*j. Give u(4).
-2
Let r(a) be the third derivative of -a**6/120 - a**5/15 + a**4/24 + 5*a**3/6 + 4*a**2. Let q be (-18)/14 + 6/21. Let s = -5 - q. Determine r(s).
1
Let o(k) = -k**2 + k + 1. Suppose 8 + 0 = -4*h. Let t = -5 - h. Calculate o(t).
-11
Let l be (0/(-1))/(-2) - -1. Let n(k) be the third derivative of -7*k**4/24 + 4*k**2. Determine n(l).
-7
Let r(z) = -z. Let o(k) = -7*k - 2. Let m(h) = -o(h) + 2*r(h). Give m(-2).
-8
Let f(c) = 95 + 7*c - 95. Determine f(-2).
-14
Let j(c) = -2*c**3 - 3*c**2 - 2*c + 4. Let n(a) = a**3 + a**2 + a - 2. Suppose 0 = 5*w + 23 + 17. Let k = w + 11. Let s(r) = k*j(r) + 5*n(r). Determine s(-4).
6
Let n(y) = y**3 - 9*y**2 - y - 6. Let h(o) = -o**3 + 10*o**2 + 7. Let p(x) = -4*h(x) - 5*n(x). Suppose 0*t = 4*t. Suppose 3*i - 18 = -t. Give p(i).
-4
Let v(k) = k**3 + k**2 + 6. Let j(c) = c**3 + 2*c**2 - c - 2. Let t be j(-2). What is v(t)?
6
Let t(p) = -p - 3. Let l be ((-6)/(-9))/((-14)/105). Determine t(l).
2
Let d(p) be the third derivative of p**5/60 + 7*p**4/24 + 5*p**3/6 - 10*p**2. What is d(-4)?
-7
Let y(p) = -p - 1. Suppose 0 = 2*r + 2*r - 4*f - 8, -4*f + 4 = 0. Let s be 1 + 14/(1 - r). Calculate y(s).
5
Suppose 6*g - 1 = 5*g. Let q(j) = 2*j**2 - j. Calculate q(g).
1
Let k(d) be the third derivative of d**4/8 - 2*d**3/3 - 3*d**2. Let r be (-4 - -2) + 1 + 4. Calculate k(r).
5
Let m(x) be the third derivative of x**5/10 + x**4/24 - x**2. Give m(1).
7
Let o(b) = 8*b + 2. Let p(i) = -7*i - 2. Let k(u) = 6*o(u) + 7*p(u). Suppose -5*l - 16 = 3*m, 0*m + 2 = -5*l + 4*m. Let q = -3 - l. Determine k(q).
-1
Let b(u) be the second derivative of -u**5/20 + u**4/3 + 7*u**3/6 - 7*u**2/2 - 35*u. Suppose k - 11 = 3*l - 31, 4*l + k - 15 = 0. Determine b(l).
3
Let k(g) = -g**2 - 5*g + 1. Let a be 3 - 17/6 - (-62)/(-12). Determine k(a).
1
Let j(x) = 4*x**2 + 5. Let o(c) = -c**2 - 1. Let f(w) = -j(w) - 5*o(w). Let g be f(1). Let s(u) = 6*u - 1. Give s(g).
5
Let w(s) = 164*s - 1 - 4 - 163*s. Suppose 2*a + 2 = -q - 8, -4*q = 5*a + 28. Calculate w(a).
-9
Let m(q) be the second derivative of -q**3/3 + 3*q**2 + q + 4. What is m(5)?
-4
Let r(b) = 2*b**2 - 7*b + 6*b + 8*b**2. Give r(-1).
11
Let t(n) be the third derivative of n**7/2520 - n**6/240 - n**5/120 + n**4/24 + 5*n**2. Let u(c) be the second derivative of t(c). Determine u(5).
9
Let i(r) = r**2 + 5*r + 3. Let v be i(-5). Let a(t) = -6 - v*t - 2*t + 4 + 7*t. What is a(-4)?
-10
Suppose 2*t = 5*m + 4 + 10, 5*m = -10. Let a(c) = c**3 + 4*c + 2 + 11*c**t - 1 - 7*c**2. Calculate a(-3).
-2
Let i(q) = q - 1. Let g(f) = 0*f + 2 + 2*f - 3*f. Let h | {
"pile_set_name": "DM Mathematics"
} |
2/5 - 0)*5. Let y(z) = -2 + c + 14*z - 17*z. Determine y(t(v)).
27*v
Let m(z) be the third derivative of z**5/20 + 94*z**2. Let c(p) = 3*p**2 + 5*p. Calculate c(m(a)).
27*a**4 + 15*a**2
Let y(b) = 2*b. Suppose 2*u - 2 = 5*g - 2*u, 3*g = -u + 9. Let c(s) = -g*s**2 + 1 - 6 + 90*s - 90*s. What is y(c(d))?
-4*d**2 - 10
Let r(q) = -12*q. Let o = -8 - -13. Suppose -2*c - 6 = -o*c. Let d(k) = -6*k**c + 14*k**2 - 7*k**2. What is d(r(j))?
144*j**2
Let f(b) = -5536*b**2. Let x(a) = -11*a**2. Give x(f(y)).
-337120256*y**4
Let i(m) = m. Let x(z) be the third derivative of -z**7/1260 + 3*z**4/8 - 8*z**2. Let b(n) be the second derivative of x(n). Give i(b(r)).
-2*r**2
Let s(o) = -o**3 - 5*o**2 - 3*o - 12. Let j be s(-5). Let l(n) = -j*n - 5*n + 10*n - n. Let w(r) = -4*r + 5*r + 13*r - r. Give l(w(u)).
13*u
Let w(j) = j + 6. Let v(m) = 1. Let z(r) = 6*v(r) - w(r). Let d(s) be the second derivative of -11*s**3/6 + 2*s. Determine z(d(p)).
11*p
Let u(t) be the second derivative of -71*t**4/12 + 333*t. Let n(l) = -5*l**2. Calculate u(n(v)).
-1775*v**4
Let l(c) = -c. Let u(j) be the third derivative of j**5/10 + j**3/3 - 13*j**2 - 7*j. Give u(l(h)).
6*h**2 + 2
Let g(n) = 29*n - 4. Let o(i) = 2*i**2 - 14*i. Calculate g(o(u)).
58*u**2 - 406*u - 4
Let r(b) = b**2 - b + 1. Let s(a) = -a**2 + 12*a - 6. Let n be s(12). Let t(p) = p**2 - 6*p + 6. Let z(c) = n*r(c) + t(c). Let o(y) = -2*y. Give z(o(l)).
-20*l**2
Let i(j) = -2*j**2 - 34*j + 12*j + 9*j + 13*j. Let a(z) = -216*z. Calculate i(a(n)).
-93312*n**2
Let i(f) = 549318 + 4*f - 549318. Let w(m) = m**2 - 24. Give i(w(z)).
4*z**2 - 96
Let t(m) = -2*m**2. Let p be (2 + -1)*-3 - -17. Suppose 4*x - 2 = p. Let z(k) = -x + 5 + 12*k - 1. What is z(t(s))?
-24*s**2
Suppose -2*p + 18 = -5*g, 2*g = -4*p + 8 + 4. Suppose 2*x = 4*x - 8. Let h(u) = 4*u - p*u + x*u. Let d(y) = -y**2. Calculate d(h(f)).
-16*f**2
Let k(r) = 3. Let h(u) = u**2 - 2. Let p(f) = -3*h(f) - 2*k(f). Let x(v) = -317*v + 153*v + 157*v. Give p(x(m)).
-147*m**2
Let t(h) = 2*h**2. Let p(z) be the first derivative of z + 0*z**2 + 1 + 1/6*z**3. Let l(u) be the first derivative of p(u). Determine l(t(s)).
2*s**2
Let g(j) = -3*j**2 + j**2 + 4*j**2. Let b(u) be the third derivative of -7*u**4/24 + u**3/3 - 3803*u**2. Determine g(b(r)).
98*r**2 - 56*r + 8
Let d(o) = -7*o. Let g(w) be the third derivative of -w**5/20 - 8*w**2 + 3*w. What is g(d(l))?
-147*l**2
Let c(p) = 5*p**2. Let k(l) = -3*l**2 + 23 - 17 - 4*l - l - 11. Let d(b) = 2*b**2 + 3*b + 3. Let s(v) = 10*d(v) + 6*k(v). Give c(s(z)).
20*z**4
Let v(w) = 2*w - 22. Let h(d) = 4*d - d - 48 - d + 48. What is h(v(s))?
4*s - 44
Suppose -r + 3 = 24. Let n = r + 23. Let v(u) = -n*u**2 + u**2 - u**2. Let j(p) = -7*p**2. Calculate j(v(m)).
-28*m**4
Suppose 71 - 3 = 4*b. Let p(v) = -45*v**2 + b*v**2 + 18*v**2 + 11*v**2. Let d(r) = -1. Let y(h) = -12*h + 4. Let g(m) = 4*d(m) + y(m). What is g(p(f))?
-12*f**2
Let o(g) = g. Suppose -24 = -3*z - 3*a + a, -12 = -z - 2*a. Let m(f) = 3*f - 2. Let q(h) = -25*h + 17. Let t(l) = z*q(l) + 51*m(l). Determine t(o(j)).
3*j
Let m(b) = 2*b. Let t(z) = -5566*z. Give m(t(q)).
-11132*q
Let u(z) = 35*z**2 - 55*z + 13. Let f(x) = -8*x**2 + 14*x - 3. Let b(p) = -26*f(p) - 6*u(p). Let h(k) = k**2. Calculate h(b(m)).
4*m**4 + 136*m**3 + 1156*m**2
Let v(q) = q**3 + 12*q**2 - 13*q + 10. Let g be v(-13). Let m(s) = -g*s**2 + 2*s**2 + 6*s**2. Let f(u) = 6*u. What is m(f(t))?
-72*t**2
Let v(i) = 13*i. Let h = 14 + -12. Let u(n) = -n. Let b(m) = 4*m. Let y(o) = h*u(o) + b(o). Determine v(y(j)).
26*j
Let w(s) = -7*s. Let l(a) be the second derivative of a**7/280 + 41*a**4/12 + a + 3. Let f(c) be the third derivative of l(c). Determine w(f(r)).
-63*r**2
Let m(f) = 10*f + 6 + 7*f - 7*f - 6. Let w(l) = 17*l. Calculate w(m(n)).
170*n
Let z(p) = p**2. Let h(f) = 6*f**2 + 6*f**2 - 18*f**2 + 8*f**2. Let g(w) = w**2. Let b(a) = 11*g(a) - 6*h(a). Determine b(z(v)).
-v**4
Let p(m) = 9*m**2. Let k(n) be the first derivative of 0*n + 1/2*n**2 - 14. Calculate p(k(j)).
9*j**2
Let j(i) be the third derivative of 0 + 1/20*i**5 + 8*i**2 + 0*i + 0*i**4 + 0*i**3. Let c(b) = -b. Give j(c(r)).
3*r**2
Let i be 3/3*1*17. Suppose -4*n = -n - 3*o + 9, -4*n + 3*o = 7. Let z(r) = i - 17 - n*r. Let f(l) = 3*l. Calculate f(z(w)).
-6*w
Let h(q) = 1180*q**2 + 1170*q**2 - 2353*q**2. Let p(i) = -46*i**2. What is p(h(a))?
-414*a**4
Let o(f) = -10*f. Let l(n) = 5*n**2 + 23*n**2 - 21*n**2. Give o(l(p)).
-70*p**2
Let l(q) = -2*q**2. Suppose 0 = 4*f + i - 1, -2*f = 3*f + 4*i + 7. Let t(k) = -14*k + 11 - 10 - f. Determine l(t(y)).
-392*y**2
Let c(r) be the first derivative of 0*r - 1/2*r**2 + 7. Let s(d) = -7*d. Determine s(c(t)).
7*t
Let t(k) = k**2 + 1. Let d(p) = -p - 22. Let j be d(0). Let s(x) = 10*x**2 + 11. Let a(r) = j*t(r) + 2*s(r). Let v(f) = -3*f**2. Calculate v(a(b)).
-12*b**4
Let t(d) = d + d - 3*d - 11*d + d. Let c(y) = 9*y. Let r(o) = -2*o. Let z(h) = 2*c(h) + 10*r(h). What is z(t(f))?
22*f
Let y(d) = 4*d. Let g(z) = 8*z**2 - 5402. Give y(g(u)).
32*u**2 - 21608
Let y(r) = 490*r**2. Let s(n) = -4972*n**2. Determine y(s(g)).
12113184160*g**4
Let b(m) = m**2 + m + 3. Let g be b(0). Let c(r) = -14*r - r**2 - g*r + 17*r. Let a(f) = 19*f**2. Determine a(c(l)).
19*l**4
Let j(y) be the second derivative of -11*y**3/6 + y. Let b(t) be the second derivative of -t**3/3 - 41*t + 11. What is b(j(r))?
22*r
Let b(x) = -2*x**2. Let t(o) be the third derivative of 2*o**5/15 - 6*o**2 - 2. Calculate b(t(l)).
-128*l**4
Let d(k) = -29*k**2 + 48*k**2 - 17*k**2. Let x(i) = 111*i. Calculate x(d(r)).
222*r**2
Let s(f) be the second derivative of -f**3 - 263*f. Let x(y) = 10*y. Determine s(x(j)).
-60*j
Let g(x) = 9*x**2. Let u(n) = 4*n**2 - 6*n**2 + 2*n**2 + 3*n**2. Give g(u(t)).
81*t**4
Let m(l) = 4*l**2 - 3*l**2 - 7*l**2 + 5*l**2. Let i(w) be the third derivative of w**2 + 1/12*w**5 + 0 + 0*w**4 + 0*w**3 + 0*w. Determine i(m(d)).
5*d**4
Let c = -2275 - -2278. Let n(i) be the first derivative of 0*i + 19/3*i**c - 3 + 0*i**2. Let f(j) = 2*j. Give n(f(q)).
76*q**2
Let c = -16 - -22. Suppose c*z - 14 = -z. Let g(p) = -2*p - p + z*p. Let k(a) = -8*a. Determine g(k(h)).
8*h
Let c(g) be the first derivative of g**2/2 - 3. Let u(b) be the third derivative of -13*b**5/60 - b**2. Calculate u(c(h)).
-13*h**2
Let v(g) = 57*g**2. Let y(f) = -158*f**2. Determine v(y(u)).
1422948*u**4
Let b(x) = -21 - 6*x + 68 - 27 - 31. Let d(o) = 2*o. What is b(d(g))?
-12*g - 11
Let l(r) = -r - 5. Let z be l(-8). Suppose 0*g - 387 = -z*t - g, 3*t = 4*g + 402. Let d(q) = 30*q - t + 130. Let j(h) = -h**2. Give j(d(w)).
-900*w**2
Let w(n) be the second derivative of -2*n**3/3 - 2*n. Let u(a) = 41*a**2 + 48*a**2 - 58*a**2. Determine u(w(g)).
496*g**2
Let z(j) = -j**2 + 30242 - 30246 + 3*j**2. Let n(q) = q**2. Give z(n(c)).
2*c**4 - 4
Let k(q) = -352*q. Let g(b) = b**2 - 26*b. What is k(g(t))?
-352*t**2 + 9152*t
Let p(u) = u**2. Let s(k) = -k**3 + 10*k**2 - 17*k + 8. Let d be s(7). Let q(x) = -9*x**2 - d*x**2 - 7*x**2 - 11*x**2. Determine p(q(b)).
3969*b**4
Let n(z) be the third derivative of -z**4/12 + 28*z**3 - 2*z**2 - 90. Let v(b) = -3*b. Determine v(n(h)).
6*h - 504
Let x(o) = 2*o. Let d(f) = 15 - 75*f - 32 + 17. Determine d(x(y)).
-150*y
Let a(o) be the first derivative of -15 + 32 - o**2 - 10 + 36. Let h(i) be the first derivative of -4*i**3/3 + 1. What is h(a(v))?
-16*v**2
Let a(t) be the first derivative of -31*t**2/2 - 111. Let s(p) = -3*p - 5. Let k(d) = 2*d + 4. Let f(w) = -5*k(w) - 4*s(w). What is f(a(v))?
-62*v
Let n(f) = 5*f + 2. Let z(k) = -128*k + 8. Determine z(n(m)).
-640*m - 248
Let l(s) = 120*s + 114. Let g(a) = a. Calculate g(l(v)).
120*v + 114
Let s(i) = -2 - 3*i**2 + 2 - 9*i**2 + 8*i**2. Let p(g) = -g**2 - 4. Calculate p(s(x)).
-16*x**4 - 4
Let g(b) = 2*b**2 - 8*b - 62. Let f(l) = -l**2 + 2*l - 1. Let c(d) = 4*f(d) + g(d). Let a(v) = v. Give a(c(h)).
-2*h**2 - 66
Let q(t) be the second derivative of -13*t**4/12 + t**2 + 304*t. Let m(r) = 9*r. Give m(q(o)).
-117*o**2 + 18
Let f(i) be the first derivative of -33*i**2/2 + 59. Let r(y) = -3*y**2. Give f(r(x)).
99*x**2
Let j(p) = -16*p - 12*p**2 - 27*p + 63*p - 20*p. Let z(y) = 14*y**2. Calculate z(j(k)).
2016*k**4
Let k(w) be the second derivative of -w**3/6 + 140*w. Let b(x) = 73*x - 2. Determine b(k(u)).
- | {
"pile_set_name": "DM Mathematics"
} |
ue
Is 3088333 composite?
False
Is 7339549 a prime number?
False
Is 185017 prime?
False
Is 78730511 a prime number?
True
Is 51325459 a composite number?
True
Is 4274211 a composite number?
True
Is 281477479 a prime number?
False
Is 46913141 prime?
False
Is 69903697 a composite number?
True
Is 85473197 prime?
False
Is 254310131 a composite number?
False
Is 12486709 prime?
True
Is 11784209 a prime number?
True
Is 552795793 composite?
True
Is 2630423 prime?
True
Is 5142547 a prime number?
False
Is 65730949 a prime number?
False
Is 866279 a prime number?
True
Is 28546657 a prime number?
False
Is 15395971 a composite number?
False
Is 2378917 composite?
False
Is 95024899 a prime number?
False
Is 577173347 a prime number?
True
Is 13607821 composite?
True
Is 303858179 a prime number?
True
Is 2213137 composite?
False
Is 471439 a prime number?
True
Is 2656573 prime?
False
Is 99511807 composite?
False
Is 9335141 composite?
False
Is 205314269 prime?
True
Is 34099469 a composite number?
False
Is 67061237 prime?
True
Is 2845561 composite?
False
Is 18208643 prime?
True
Is 49288951 prime?
False
Is 4926527 prime?
True
Is 23529511 prime?
True
Is 237142273 a composite number?
False
Is 863239 a prime number?
False
Is 38430629 a composite number?
False
Is 127809391 composite?
True
Is 211985887 a composite number?
True
Is 40327757 a prime number?
False
Is 2286363 prime?
False
Is 38761939 a prime number?
True
Is 2655283 composite?
True
Is 473701 composite?
True
Is 1303091 prime?
True
Is 80661859 prime?
False
Is 1438783 prime?
False
Is 410923 a prime number?
False
Is 203256139 a composite number?
False
Is 197965409 a prime number?
True
Is 5979679 prime?
True
Is 91323194 prime?
False
Is 9848249 a composite number?
False
Is 130560919 a prime number?
True
Is 206814365 a prime number?
False
Is 12224129 a composite number?
False
Is 20887201 composite?
False
Is 280607 a composite number?
False
Is 4028099 prime?
False
Is 6631481 composite?
True
Is 6645677 a composite number?
False
Is 193927859 composite?
False
Is 328058233 a composite number?
False
Is 5629279 prime?
True
Is 79806421 a prime number?
False
Is 1332557 a composite number?
False
Is 5474747 prime?
False
Is 56259547 a composite number?
False
Is 324769 a composite number?
True
Is 33458855 prime?
False
Is 4492109 prime?
False
Is 54697187 a composite number?
False
Is 3169583 composite?
False
Is 141942719 composite?
True
Is 1259867 composite?
True
Is 200585285 a prime number?
False
Is 5315623 a composite number?
True
Is 2655607 a prime number?
True
Is 149008759 composite?
False
Is 131401561 prime?
False
Is 1899949 a prime number?
True
Is 952087 a prime number?
True
Is 16148089 prime?
True
Is 181283603 a composite number?
False
Is 91091641 a prime number?
True
Is 875443 a composite number?
False
Is 472471679 prime?
False
Is 89548331 a prime number?
False
Is 178705993 a prime number?
False
Is 381837511 a composite number?
True
Is 2146399 prime?
False
Is 14105753 composite?
False
Is 1344727 composite?
False
Is 473545946 a composite number?
True
Is 30659419 a composite number?
True
Is 915839 prime?
True
Is 31456367 composite?
True
Is 4858193 composite?
False
Is 25434835 a composite number?
True
Is 2380241 prime?
True
Is 3668851 prime?
True
Is 4379437 prime?
True
Is 1999621 a prime number?
False
Is 91741609 composite?
False
Is 930397009 a prime number?
True
Is 9973477 composite?
True
Is 30116521 prime?
True
Is 21595681 a composite number?
True
Is 7583321 a prime number?
False
Is 4168559 a prime number?
True
Is 3150019 a prime number?
False
Is 14087077 composite?
False
Is 17412191 a prime number?
True
Is 81467341 a composite number?
True
Is 11712191 prime?
True
Is 463501663 a prime number?
True
Is 1235159 prime?
True
Is 76506401 prime?
False
Is 1192645 a composite number?
True
Is 149566367 composite?
False
Is 106999693 composite?
True
Is 90126713 composite?
False
Is 20722019 a composite number?
True
Is 2283803 a composite number?
False
Is 79241567 prime?
True
Is 674340593 a prime number?
True
Is 4888309 a composite number?
False
Is 11064323 composite?
False
Is 45188777 composite?
True
Is 8290757 prime?
False
Is 40877729 composite?
True
Is 135901322 a prime number?
False
Is 375518863 composite?
False
Is 476299 a prime number?
True
Is 6167867 prime?
True
Is 3419531 prime?
True
Is 28611053 prime?
False
Is 4597577 a prime number?
True
Is 11119301 a composite number?
True
Is 29966111 prime?
False
Is 164305061 a prime number?
True
Is 2772433 a prime number?
True
Is 1051247 a prime number?
True
Is 3329551 a prime number?
True
Is 5050063 composite?
False
Is 99190243 a prime number?
True
Is 139820453 prime?
True
Is 96926161 prime?
True
Is 2251523 a prime number?
False
Is 7447877 composite?
False
Is 264503891 a composite number?
False
Is 17175689 prime?
True
Is 4015981 composite?
False
Is 4336015 prime?
False
Is 183840389 a composite number?
True
Is 4289647 prime?
True
Is 58295383 prime?
True
Is 1756633 prime?
True
Is 26067799 a composite number?
False
Is 161633426 composite?
True
Is 210576539 composite?
False
Is 291123478 a composite number?
True
Is 294583 composite?
True
Is 119140339 a composite number?
True
Is 28971989 a composite number?
True
Is 2103713 composite?
False
Is 47045555 a prime number?
False
Is 25242589 a prime number?
True
Is 457943 prime?
True
Is 559100909 a prime number?
True
Is 254145433 composite?
False
Is 726611 a composite number?
False
Is 483377 composite?
False
Is 14427503 a composite number?
False
Is 30699651 a prime number?
False
Is 14260139 a composite number?
True
Is 71752679 a prime number?
True
Is 6396053 prime?
True
Is 7483271 a prime number?
True
Is 2386859 prime?
True
Is 95679707 prime?
True
Is 105010843 a prime number?
False
Is 39072743 prime?
True
Is 1950217 a composite number?
True
Is 111024803 a prime number?
True
Is 36430621 composite?
False
Is 4511503 prime?
False
Is 15123597 a composite number?
True
Is 84674633 a composite number?
False
Is 103055083 a composite number?
True
Is 140136641 a composite number?
True
Is 3416009 a composite number?
True
Is 48655358 prime?
False
Is 48482347 prime?
True
Is 99905017 a composite number?
True
Is 15973733 a composite number?
False
Is 493686299 a composite number?
False
Is 2817443 composite?
False
Is 48507737 a composite number?
False
Is 3655643 composite?
True
Is 14320841 composite?
False
Is 152830343 a composite number?
True
Is 23815277 a prime number?
True
Is 405544939 a composite number?
False
Is 840871 prime?
False
Is 232615 prime?
False
Is 358870351 a composite number?
True
Is 159028771 prime?
False
Is 18249167 composite?
False
Is 4992163 prime?
False
Is 5625809 composite?
True
Is 2539366 a composite number?
True
Is 24149573 a composite number?
True
Is 1975991 prime?
True
Is 13472051 a composite number?
True
Is 5463769 a composite number?
True
Is 24016763 composite?
False
Is 946123 a prime number?
True
Is 10401799 composite?
False
Is 437941739 composite?
False
Is 43024019 prime?
True
Is 17944153 composite?
True
Is 4620937 prime?
False
Is 52548701 composite?
False
Is 242927 prime?
True
Is 320374867 a composite number?
True
Is 165183833 a prime number?
True
Is 626456093 a composite number?
True
Is 9941317 a prime number?
True
Is 889829 composite?
False
Is 1367711 a prime number?
True
Is 49573735 composite?
True
Is 5668639 prime?
True
Is 1726189 composite?
False
Is 1840889 prime?
False
Is 58763 a composite number?
False
Is 30276397 composite?
True
Is 275221033 a composite number?
False
Is 11901245 a composite number?
True
Is 157877599 composite?
True
Is 44818999 composite?
False
Is 3663887 a composite number?
False
Is 40867357 a composite number?
False
Is 3377807 a composite number?
False
Is 2411153 composite?
True
Is 14766143 composite?
True
Is 96604141 a prime number?
False
Is 2178937 a prime number?
True
Is 254532791 a prime number?
False
Is 1495543 composite?
True
Is 64406873 a prime number?
False
Is 11723687 a composite number?
True
Is 649149005 composite?
True
Is 117373907 composite?
True
Is 34684577 composite?
True
Is 1253383 composite?
True
Is 14757131 prime?
True
Is 8065411 prime?
False
Is 845591 a prime number?
False
Is 989119 a composite number?
False
Is 304012469 a composite number?
False
Is 122597447 a prime number?
False
Is 18982113 com | {
"pile_set_name": "DM Mathematics"
} |
918
-5796 divided by 46
-126
250 divided by -358
-125/179
What is -3 divided by 490822?
-3/490822
Calculate 96287 divided by -73.
-1319
What is -1 divided by 383469?
-1/383469
25 divided by 18644
25/18644
What is -3 divided by -3937?
3/3937
Divide 1782624 by -18569.
-96
Calculate -219 divided by -61.
219/61
Calculate 70238 divided by -173.
-406
Divide 28985 by 2635.
11
Divide 6249 by -167.
-6249/167
What is 3994 divided by -3994?
-1
Divide -534325 by -55.
9715
Calculate 65391 divided by 307.
213
Calculate 844976 divided by -211244.
-4
-13990 divided by -2
6995
-1 divided by -192900
1/192900
-35419 divided by -127
35419/127
6391044 divided by -6
-1065174
544407 divided by 57
9551
What is -118062 divided by -6?
19677
246 divided by -789
-82/263
What is 75652 divided by -37826?
-2
Calculate 11018 divided by -3.
-11018/3
1468393 divided by -1987
-739
Divide 2928855 by 585771.
5
-100 divided by -416
25/104
0 divided by 11100
0
Divide 528021 by -4513.
-117
Divide 51398 by -3.
-51398/3
260 divided by 3346
130/1673
Calculate -63612 divided by -57.
1116
Calculate -3 divided by -1269503.
3/1269503
Divide -849056 by -2512.
338
-4 divided by -596323
4/596323
Divide -217 by 135.
-217/135
What is 30996 divided by -3444?
-9
What is -2 divided by -5277?
2/5277
What is -3052 divided by 1526?
-2
Calculate 2 divided by 208636.
1/104318
What is 76378 divided by 6?
38189/3
8 divided by 13545
8/13545
Divide -1660119 by 6.
-553373/2
Divide -149201 by -13.
11477
Calculate -1006166 divided by -20534.
49
Divide 39762 by 3.
13254
4082910 divided by -2
-2041455
-1 divided by -24520
1/24520
353500 divided by -3500
-101
What is 0 divided by -731889?
0
What is 7 divided by 8259?
7/8259
-318804 divided by 53134
-6
What is -85 divided by 16781?
-85/16781
Calculate 3 divided by -11371.
-3/11371
22 divided by 32771
22/32771
Calculate 5 divided by -73470.
-1/14694
Divide -914 by 38.
-457/19
Calculate 18414 divided by -18414.
-1
Divide 27130 by 29.
27130/29
Divide 1199 by -193.
-1199/193
Divide -404392 by 8.
-50549
Calculate -63064 divided by 8.
-7883
Calculate 4760 divided by -17.
-280
Calculate -621 divided by -1.
621
-3733970 divided by -5
746794
What is 92 divided by 10009?
92/10009
-141670 divided by -310
457
Divide 653040 by -5.
-130608
What is 26 divided by -58181?
-26/58181
-41895 divided by 1995
-21
What is -9798 divided by 69?
-142
What is -34 divided by -8750?
17/4375
Calculate 2580896 divided by 472.
5468
Calculate 146848 divided by -26.
-5648
What is -50 divided by 11078?
-25/5539
What is -95822 divided by -1?
95822
-20 divided by 4107
-20/4107
-2 divided by 38965
-2/38965
Calculate -5 divided by 2629.
-5/2629
Calculate -4 divided by 383032.
-1/95758
What is 5 divided by -14100?
-1/2820
7059276 divided by -1308
-5397
-22852 divided by 5
-22852/5
What is 141344 divided by 32?
4417
Calculate 8362 divided by -56.
-4181/28
What is -2 divided by 520448?
-1/260224
What is 3 divided by -187213?
-3/187213
Calculate -1 divided by -62731.
1/62731
Calculate -2743 divided by 36.
-2743/36
Calculate 43552 divided by 4.
10888
1 divided by 201954
1/201954
Calculate -138594 divided by 6.
-23099
What is 131 divided by -80?
-131/80
-1 divided by 1109231
-1/1109231
What is 1 divided by 97?
1/97
874 divided by -843
-874/843
Divide 187250 by -1750.
-107
-375608 divided by -8
46951
Divide -16440 by -3288.
5
-23948 divided by 23
-23948/23
What is 54858 divided by 3?
18286
What is 52 divided by -69110?
-26/34555
Divide -190820 by -470.
406
Calculate 163445 divided by 5.
32689
-192102 divided by 64034
-3
Calculate 157 divided by -3431.
-157/3431
What is -237184 divided by 6?
-118592/3
Divide -4236 by 1059.
-4
-2505576 divided by 4
-626394
-4 divided by 1685
-4/1685
-71 divided by 179
-71/179
Calculate 320654 divided by 1.
320654
Divide 134782 by -134782.
-1
Divide -466026 by 307.
-1518
Divide 19338678 by 6.
3223113
What is -109360 divided by -80?
1367
What is 43860 divided by 2?
21930
What is 5 divided by 7576?
5/7576
Divide 20332 by 4.
5083
959684 divided by -239921
-4
Calculate 114 divided by 41721.
38/13907
Calculate 2613492 divided by 84.
31113
-4 divided by 122160
-1/30540
What is -42608 divided by -1?
42608
What is -20559 divided by 623?
-33
Calculate 45928 divided by 5.
45928/5
79479 divided by -8
-79479/8
-1010240 divided by -820
1232
Calculate 620825 divided by -95.
-6535
Divide 0 by 3893.
0
Divide 128900 by 1.
128900
Divide 67145 by 6.
67145/6
Calculate 97 divided by 9871.
97/9871
Divide 5 by -7079.
-5/7079
Calculate 0 divided by -5170.
0
-2 divided by 117699
-2/117699
304010 divided by -21715
-14
What is -510624 divided by 2?
-255312
Divide -273428 by 2.
-136714
Calculate -203012 divided by 1.
-203012
What is 133 divided by 1284?
133/1284
What is 992610 divided by 6?
165435
What is -2953 divided by 17?
-2953/17
What is -36228 divided by 5?
-36228/5
Divide 14124 by 3531.
4
Calculate -830991 divided by -5653.
147
Divide -2876310 by 810.
-3551
Divide -3 by -21271.
3/21271
What is -47212 divided by 814?
-58
What is 344664 divided by 5?
344664/5
12404 divided by -6
-6202/3
-85902 divided by -2
42951
What is -241604 divided by -21964?
11
What is -1326 divided by -434?
663/217
What is -2 divided by -91103?
2/91103
Divide 477 by -3210.
-159/1070
4845 divided by 969
5
Divide 46614 by 7769.
6
Divide 12 by -798807.
-4/266269
Divide -4096 by 3.
-4096/3
Calculate 137 divided by -80.
-137/80
Divide 199 by -669.
-199/669
Divide -3096 by 2.
-1548
What is 329901 divided by -6?
-109967/2
2 divided by 32753
2/32753
What is -4863 divided by -75?
1621/25
What is 26 divided by -2557?
-26/2557
34028 divided by -8507
-4
237324 divided by -79108
-3
What is 2511912 divided by -96612?
-26
-15 divided by -20639
15/20639
Divide 20 by 617.
20/617
Calculate -52653 divided by 5.
-52653/5
What is 53 divided by 11704?
53/11704
Divide 1407 by 3.
469
3648 divided by 5
3648/5
What is -331577 divided by 3?
-331577/3
1098 divided by 1079
1098/1079
Calculate -1 divided by -45685.
1/45685
Divide 136276 by -4.
-34069
Calculate 69404 divided by 69404.
1
Divide 11524 by 43.
268
What is 2 divided by -1892?
-1/946
Calculate 1984136 divided by -8.
-248017
Calculate 0 divided by 68730.
0
Divide -480 by -24.
20
Divide 87776 by -8.
-10972
Calculate 993 divided by 442.
993/442
What is 269904 divided by -6?
-44984
Calculate -67560 divided by -5630.
12
What is 1373165 divided by 274633?
5
Calculate 48027 divided by -2287.
-21
Divide 0 by 1552.
0
What is -11433 divided by -3?
3811
Calculate -2149849 divided by -13.
165373
Divide 212175 by 15.
14145
Calculate 649 divided by 256.
649/256
What is -4 divided by -87775?
4/87775
Calculate 79632 divided by 13272.
6
What is 417576 divided by -52197?
-8
What is 26040 divided by 1736?
15
Divide -87778 by 14.
-43889/7
-83772 divided by -2
41886
What is -2199 divided by -5?
2199/5
What is 24334 divided by 1058?
23
Divide -255 by -16.
255/16
What is 80461 divided by 7?
80461/7
Divide -908 by -151.
908/151
Calculate -14 divided by -953.
14/953
0 divided by -2133
0
What is 1594 divided by -797?
-2
Calculate 725 divided by -110.
-145/22
What is -155922 divided by 8?
-77961/4
What is 55 divided by 87?
55/87
What is 605566 divided by -5?
-605566/5
What is 80828 divided by 40414?
2
Calculate -2551759 divided by 2.
-2551759/2
What is 0 divided by 9064?
0
Divide 153198 by -9.
-17022
What is -5756 divided by 5756?
-1
Calculate -2892 divided by 32.
-723/8
Calculate 13925 divided by 5.
2785
What is 62616 divided by -4?
-15654
-87379 divided by -1
87379
Calculate 370478 divided by -142.
-2609
-712085 divided by -535
1331
Divide 1 by 136916.
1/136916
180591 divided by -3
-60197
-145587 divided by 48529
-3
What is -621276 divided by 207092?
-3
What is 8 divided by -4909?
-8/4909
-289110 divided by 3
-96370
What is -3 divided by 29469?
-1/9823
Calculate 88908 divided by -4.
-22227
-104054 divided by 104054
-1
Calculate -3519 divided by 42.
-1173/14
170224 divided by -3
-170224/3
5 divided by 85726
5/85726
What is -11276 divided by 1?
-11276
-1 divided by 96246
-1/96246
552798 divided by 261
2118
What is 22578 divided by 6?
3763
-2 divided by 189901
-2/189901
Divide 0 by 721227.
0
What is 3 divided by 12300?
1/4100
What is 19628 divided by -13?
-19628/13
-20129 divided by -47
20129/47
Divide 12328 by -4.
-30 | {
"pile_set_name": "DM Mathematics"
} |
Let h(t) = 34*t**2 + 6*t + 3. Let s(o) = -141*o**2 - 21*o - 11. Give -11*h(k) - 3*s(k).
49*k**2 - 3*k
Let y(x) = -5*x - 2. Let i(t) = 5*t**2 - 55*t - 16. What is i(w) - 11*y(w)?
5*w**2 + 6
Let q(h) = 517*h**2. Let f(o) be the second derivative of -43*o**4/12 + 916*o. Determine 47*f(b) + 4*q(b).
47*b**2
Let f(j) = 0*j**2 + 7*j**2 - 922*j - 2*j**3 + 5 + 458*j + 464*j. Let c(m) = -m**3 + m**2 + 1. Give -5*c(a) + f(a).
3*a**3 + 2*a**2
Let f(g) be the second derivative of g**5 - 2*g**4/3 - 3*g**2 + 44*g. Let j(c) = 7*c**3 - 3*c**2 - 2. Give 3*f(m) - 8*j(m).
4*m**3 - 2
Let j(y) = -5*y**3 - y + 1. Let b = 8903 + -8895. Let f(z) = 14*z**3 + 4*z - 2. Determine b*j(c) + 3*f(c).
2*c**3 + 4*c + 2
Suppose 3*q - 8 + 29 = -2*j, -5*j - 4*q - 35 = 0. Let y(i) = -5*i + 6. Let w(o) = 4*o - 5. Let z be 9/(-2) + (-15)/(-30). What is j*y(l) + z*w(l)?
-l + 2
Suppose 5*v - 23 = v + a, -4*v + 5*a = -35. Suppose -40 = -3*m - 31. Let g(n) = -7*n**2 - 4. Let j(h) = 4*h**2 + 2. Calculate m*g(u) + v*j(u).
-u**2 - 2
Let g(f) = 2*f + 5. Let d(m) be the second derivative of m**3/3 + 3*m**2 + 123*m. Let k = 122 + -126. Give k*d(r) + 5*g(r).
2*r + 1
Let x(p) = -83*p + 33. Let t(l) = l + 12. Give -6*t(z) + 2*x(z).
-172*z - 6
Let d(o) = 29*o - 1. Let c(i) = 1. Suppose -111 = -19*u - 92. Determine u*d(n) + 3*c(n).
29*n + 2
Let x(a) = -1 + 3 + 9*a - 1 - 6*a - 2. Suppose -3*k - 10 = -25. Let m(j) = -20*j - 102. Let z(o) = -7*o - 36. Let t(r) = 6*m(r) - 17*z(r). Give k*t(u) + x(u).
-2*u - 1
Let i = 22467 - 22463. Let q(y) = -y**2 + 19*y - 2. Let c(u) = 2*u**2 - 18*u + 3. Give i*c(r) + 6*q(r).
2*r**2 + 42*r
Suppose 30 = -5*t - 0. Let z(a) = -a + 1. Let s(j) be the second derivative of -1/12*j**4 + 0 + 48*j - 7/2*j**2 + j**3. Determine t*z(x) - s(x).
x**2 + 1
Let a(c) = -32*c**2 + 28*c. Let w(s) = -s**2 + s. Let j = -110 + 108. Let g be (-4*(j + 1))/(-2). What is g*a(n) + 56*w(n)?
8*n**2
Let r(x) = 18781 - 18785 + 3*x**2 - 4*x + 2*x**2. Let u(p) = -4*p**2 - p - 1 + 3*p**2 + 2*p**2. Let o be 12/(-5)*(-390)/(-52). Determine o*u(k) + 4*r(k).
2*k**2 + 2*k + 2
Let z(y) = 2*y - 3. Let w(j) = -4*j + 6. Let b be 4/4*81/(-9) - -6. Give b*w(c) - 7*z(c).
-2*c + 3
Suppose 27*u + 32 = 31*u. Let l(h) = -2*h + 1 - h + 2*h + 6. Let x be l(u). Let m(v) = 2*v**2 - 5*v + 5. Let p(y) = -y + 1. Calculate x*m(o) + 3*p(o).
-2*o**2 + 2*o - 2
Let i(o) be the second derivative of 3*o**3/2 + o**2/2 - 16*o - 44. Let c(d) = 8*d + 1. Determine 5*c(u) - 4*i(u).
4*u + 1
Let p = -16201 - -16208. Let f(b) = -3*b + 102. Let y(g) = -2*g + 68. What is p*y(k) - 5*f(k)?
k - 34
Let f(x) = 318*x - 4777. Let m be f(15). Let y(u) = 6*u + 27. Let p(z) = 5*z + 27. Determine m*p(o) + 6*y(o).
o - 27
Suppose 5 = -5*f - 230*q + 227*q, -q = 3*f - 1. Let u(m) = 15*m**2 + 2*m. Let w(v) be the second derivative of v**4/12 + v**3/6 + 2*v. Give f*w(j) - u(j).
-13*j**2
Let n(v) be the first derivative of -12*v + 15/2*v**2 - 107. Let d(y) = 6*y - 5. Determine 12*d(s) - 5*n(s).
-3*s
Let f(w) = 160*w**2 - 20*w. Let b(d) = 62*d**2 - 244*d**2 + 83*d**2 + 3*d + 76*d**2. What is -20*b(g) - 3*f(g)?
-20*g**2
Let l(h) be the third derivative of -493*h**5/20 - 221*h**3/6 - 637*h**2. Let v(b) = -20*b**2 - 3. Determine -6*l(r) + 442*v(r).
34*r**2
Let o = -258386 + 258383. Let c(b) = 2*b - 5 - 5*b + 0*b. Let y(i) = 2*i + 6. What is o*y(n) - 4*c(n)?
6*n + 2
Let h(m) = -17888*m + 154. Let i(c) = -3577*c + 29. Give -3*h(a) + 16*i(a).
-3568*a + 2
Let w(c) be the second derivative of -c**5/10 - 7*c**4/12 - 5*c**3/6 + 5*c**2/2 + 3930*c. Let y(a) = -a**3 - 3*a**2 - 2*a + 3. Give 2*w(m) - 5*y(m).
m**3 + m**2 - 5
Let u(k) = -2*k**3 + 2*k + 4. Let m(w) be the second derivative of -w**5/10 + w**3/3 + 5*w**2/2 + 993*w. Determine -3*m(n) + 4*u(n).
-2*n**3 + 2*n + 1
Let b(k) = 2*k - 3. Let i(j) = -69*j - 17. Determine 3*b(o) - i(o).
75*o + 8
Let a(u) = -66*u. Let s(l) be the first derivative of 199 - 5/2*l**2 + 0*l. What is -4*a(q) + 54*s(q)?
-6*q
Let i be (-14)/(-3) + (-4)/6. Suppose -408 = 8*l - 76*l + 204. Let t(n) = 7*n + 3. Let v(s) = -15*s - 7. Give i*v(h) + l*t(h).
3*h - 1
Let p(v) = -6*v**2 + 4*v**2 - 5 + 4*v**2 - 5*v + 3*v**2. Let n(d) = -1 + 3*d**2 + 6258*d - 6259*d - 2*d**2. Calculate 6*n(r) - p(r).
r**2 - r - 1
Let i(n) be the third derivative of -n**6/20 - n**5/15 + n**4/24 + n**3/6 + 301*n**2. Let d(r) = 5*r**3 + 3*r**2 - 2*r - 1. Give 4*d(u) + 3*i(u).
2*u**3 - 5*u - 1
Let z(h) = h**3 + 5*h**2 - 6*h + 3. Let a be z(-6). Let w(f) = -11*f - 15. Let q(y) = -5*y - 7. Let o = -17202 + 17195. What is a*w(i) + o*q(i)?
2*i + 4
Let i(x) = 4*x**3 + x**2 + x + 8. Let y(k) = -9 + 171*k**2 - 170*k**2 + k**3 - 9 + 17. What is i(t) - y(t)?
3*t**3 + t + 9
Let y(i) = 9. Let l(r) = 1203*r - 62. What is -2*l(p) - 14*y(p)?
-2406*p - 2
Let t(a) = -a. Let u(r) = -10*r**2 + 4*r + 41. Let c(s) = 5*s**2 - 2*s - 16. Let b(g) = 5*c(g) + 2*u(g). What is -b(p) - t(p)?
-5*p**2 + 3*p - 2
Let y(b) = -15*b + 10. Let v(u) = 27*u - 8. What is 4*v(z) + 3*y(z)?
63*z - 2
Let f(h) = 14. Let q(n) = 5. Let p(z) = 6*f(z) - 17*q(z). Let b(a) = 3*a**2 + 5. Let m be -23 - (-2 + 15*(-102)/85). Give m*p(t) - b(t).
-3*t**2 - 2
Let o(y) = 10*y + 2. Let d(f) = 4 + 15*f + 9*f + 8*f - 18*f + 5*f. What is 4*d(n) - 9*o(n)?
-14*n - 2
Let b(d) = -25*d - 4. Let l(i) = 27*i - 2. Give -3*b(n) - 4*l(n).
-33*n + 20
Let k(q) = -q**2 + 7*q + 2. Let a(f) = -6*f**2 + 33*f + 16. Calculate -a(g) + 9*k(g).
-3*g**2 + 30*g + 2
Let c(o) = o**3 + o**2 - 2*o. Let k(z) = -3*z**3 + 2*z**2 + 2*z - 3. Let r(d) = -c(d) - k(d). Let l(n) = n**3 + 1. What is -l(v) - r(v)?
-3*v**3 + 3*v**2 - 4
Let n(b) = 5*b**2 - b + 2. Let d(o) = -12*o**2 + 2*o - 463. What is -d(g) - 2*n(g)?
2*g**2 + 459
Let f(k) = k**3 - 2*k**2 - 1. Let q(t) = -t**3 + 2*t**2 + 2. Suppose -73*s + 5 - 268 = -44. What is s*q(b) - 4*f(b)?
-b**3 + 2*b**2 - 2
Let y(w) be the first derivative of -3*w**4/4 + 3*w**2/2 + w - 286. Let r(j) = -6*j**3 + 5*j + 2. Let g be (-4 - (-3 - 2)) + -4. Determine g*r(z) + 5*y(z).
3*z**3 - 1
Let a(z) = 2*z - 3. Let m(x) = -4. Let c(j) = -2*j - 11. Let q(b) = 2*c(b) - 7*m(b). Give 5*a(w) + 3*q(w).
-2*w + 3
Suppose -3*b + 4 = -2. Let i(k) be the second derivative of k**4/12 - k - 23. Let r(y) = 49*y**2 + 1 - 1 - 51*y**2. Determine b*r(v) + 2*i(v).
-2*v**2
Let c(h) = -8564 + 17134 - 8569 - h. Let z(x) = -9*x**2 + 72*x - 72. Give -216*c(v) - 3*z(v).
27*v**2
Let o(l) = 3*l - 4. Let f(y) = 4 - 4*y - 4 + 5. Let g(z) = -4*f(z) - 5*o(z). Suppose 45*a - 315 + 90 = 0. Let r(t) = 4*t - 2. What is a*g(p) - r(p)?
p + 2
Let b(v) = -7*v**2 + 3343*v - 3. Let w(u) = 12*u**2 - 6682*u + 5. Determine -5*b(g) - 3*w(g).
-g**2 + 3331*g
Let g(n) be the second derivative of -3*n**5/20 + n**4/6 - 3*n**3/2 - 465*n + 1. Let z(q) = -q**3 + q**2. Determine -g(w) + 2*z(w).
w**3 + 9*w
Let v(m) = -3*m + 456. Let u(f) = 5. Calculate -5*u(d) - v(d).
3*d - 481
Let d(m) = m**2 - m + 1. Let b(t) = 6*t**2 + 5*t - 7. Let u(p) = p**3 + 3*p**2 - 23*p - 29. Let o be u(-6). Determine o*b(h) + 5*d(h).
11*h**2 - 2
Let t(w) = 106*w + 149. Let h(z) = 248*z + 297. Calculate -3*h(x) + 7*t(x).
-2*x + 152
Let t(g) = -6*g. Suppose 2326434 = 25*x + 2326484. Let w(o) = 18*o. Let h(n) = -n**2 + n - 7. Let f be h(0). Determine f*t(p) + x*w(p).
6*p
Let k(z) = 3*z**3 - z**2 + 6*z - 1. Let g(c) be the third derivative of -c**6/120 + c**5/60 + c**4/24 - 825*c**2 + c. Calculate g(f) + k(f).
2*f**3 + 7*f - 1
Let q(r) = -r + 1. Let x(w) = -42*w + 22*w + 9 - 9*w + 15*w. Give -6*q(i) + x(i).
-8*i + 3
Let a(p) = -38*p**3 + 56*p**2 + 28. Let n(c) = 74*c**3 - 111*c**2 - 63. Give -9*a(z) - 4*n(z).
46*z**3 - 60*z**2
Let g(y) = 2*y**2 - y - 2. Let d(z) = -4*z**3 + 758*z**2 - 2*z - 2. Give d(l) - g(l).
-4*l**3 + 756*l**2 - l
Let g(f) = -7*f**3 - f**2 - f - 3. Let c(x) = -47*x**3 - 9*x**2 - 7*x + 3256. Determine c(t) - 7*g(t).
2*t**3 - 2*t**2 + 3277
Let d(k) = -3*k**3. Let x(g) = -g**3. Suppose -7*f + 24 = 5*f. Let i be (8/((-4 + 1)/3))/f. Let c be -2 + (-6)/i - (-154)/(-44). Give c*d(y) + 11*x(y).
y**3
Let r(o) be the second derivative of 1/6*o**3 - 17*o + 0 + 19/2*o**2. Let u(a) be the first derivative of r(a). Let p(t) = -t + 10. Determine -2*p(l) + 22*u(l).
2*l + 2
Let i(l) = l**3 - 2*l**2 - 1. Let y(g) = g**3 - 7*g**2 + 20. Give -3*i(f) + y(f).
-2*f**3 - f**2 + 23
Let r = -58 + 64. Let q(t) = t + 3*t**2 | {
"pile_set_name": "DM Mathematics"
} |
be (q - -3) + 8 + -1. Determine t(j).
-4
Let z(p) = -11*p**3 - 2*p**2 + 9*p - 7. Let q be (0 + 0 + -2)*-3. Let r(w) = -w**2 - 6*w**3 - 3 + w + w**3 + 3*w. Let y(m) = q*z(m) - 13*r(m). Give y(2).
-3
Let j(n) = 2*n**2 - 5*n + 1. Let k be j(3). Let p(m) = -5 + k - m**2 - 4*m + 7*m - 4*m. What is p(3)?
-13
Let j(o) = -o**3 - 12*o**2 - 19*o + 9. Let n be j(-10). Let u(h) = -5*h. Give u(n).
5
Let t(m) = -6*m - 2. Let c be -3*(-1)/(-4 + 3). Determine t(c).
16
Let x(w) = w**3 - 1 + 7 - 1 - 2. Determine x(0).
3
Let m(a) = 0*a**2 + 0*a - 1 - a**2 - a + 0*a**2 + a**3. Let s(j) = j**3 - 3*j**2 + 2*j - 3. Let n(b) = 2*m(b) - s(b). Determine n(-3).
-5
Let o = -3 + 4. Let c(w) = 22*w + 1. Let l be c(o). Suppose 0 = -s + u - 0*u + 7, -l = -2*s + 5*u. Let a(k) = -k**2 + 5*k - 1. Determine a(s).
3
Let c(r) = 6 + 3*r + 6 - 11 - 4*r. Calculate c(3).
-2
Let p(f) = 2*f - 2*f + 26*f**2 - 13*f**2. Calculate p(-1).
13
Let d(q) = 6*q + 2. Let r(o) = 7*o + 1. Let a(l) = 6*d(l) - 5*r(l). Let w = -54 + 54. Determine a(w).
7
Let n(i) = -i**3 + 6*i**2 + i - 7. Suppose d - 7 = -4*t, -2*t = -3*d - d - 8. Let g be t/((-1)/(-12)*4). Give n(g).
-1
Suppose 0 = 5*n - 4*h + 36, -2*h + 8 = 2*n + 2*h. Let s(c) = 2*c + c**2 + 0*c + 0 - 1. Give s(n).
7
Let a be 0 - (2 - (3 - 2)). Let d(n) = 5*n**2 - n. Give d(a).
6
Let y(b) be the first derivative of -1/4*b**4 + 3 - 3*b - b**2 - b**3. Let k(n) = -n**3 - 7*n**2 - 5*n + 3. Let g be k(-6). Give y(g).
3
Let h be -1 + 6/(4 - 1). Let c(k) = 9*k**3 - 2*k**2 + 1. Calculate c(h).
8
Let n(q) = 9*q - 7. Let p(k) = 19*k - 15. Let f(u) = 9*n(u) - 4*p(u). Calculate f(2).
7
Let y be (5/(-1) - 2) + 2. Let a(i) = -i. Let t(o) = 3*o - 2. Let b(q) = y*a(q) - t(q). Give b(-4).
-6
Let s(j) = j**3 + j**2 - j - 1. Let w(m) = -m - 3. Let i be w(-5). Calculate s(i).
9
Let m = -62 + 62. Let z(n) be the second derivative of m - 9/20*n**5 + 1/6*n**4 - 1/2*n**2 - n + 0*n**3. Determine z(1).
-8
Let d(r) = -6*r + 3 + 1 - 1 + r**2. Let w(l) = l - 5*l**3 - 2 + 0 + 3. Let o be w(-1). Calculate d(o).
-2
Let p(g) = -g - 7. Let a = 14 - 7. Suppose 5*b + 3*j + 35 = 0, -b + 0 = -2*j + a. Determine p(b).
0
Let k(a) = -a + 4. Suppose -37 = -5*f - 4*j, -2*f + 4*j = 2*f - 8. Let p(u) = u**2 - 2*u - 7. Let q be p(f). Let b = -4 + q. What is k(b)?
0
Let c(v) = -v - 2. Suppose -2*k - 30 = -4*m, -3*k = -m + 11 - 1. What is c(m)?
-9
Let z(f) = f**2 - 8*f - 6. Let g = -20 - -23. Suppose 6 = x + 2*v, -5*x - v + g*v + 42 = 0. Give z(x).
-6
Let j be 24/(-56) - (-93)/21. Let m(y) = y**3 - 4*y**2 - 2*y + 4. Determine m(j).
-4
Let r(z) = -8*z - 4. Let x(n) = -n. Let g(u) = -r(u) + 4*x(u). Determine g(-4).
-12
Let r(t) = t**2 - t - 2. Let h be r(2). Let s(b) = 2*b**2 + b - 1. Let w be s(1). Let f(m) = 6 + m**2 - 2*m**w + 2 + m. Calculate f(h).
8
Let l be (3/(-2))/((-3)/(-10)). Let x(o) = -2*o - 7. What is x(l)?
3
Suppose 5*s - 7 = 23. Let q be (4/s)/(8/12). Let j(k) = -k - 1. Calculate j(q).
-2
Let c(x) = -x**2 + x + 2. Suppose -9 = -4*t - 5*s, 4*t - 6*s = -s - 1. Suppose -t = -3*i + 5. Give c(i).
0
Let q(k) be the second derivative of -k**5/20 + k**4/2 + 4*k**3/3 - 4*k**2 + 11*k. Calculate q(7).
-1
Let b(k) = 2*k**2 - 3*k + 1. Let i be (-3)/6 - 5/(-2). Let z be b(i). Let n(v) = -4 + v**z - 3*v + 2*v + 2. Calculate n(2).
4
Let b(s) = -s**3 + 6*s**2 + 6*s + 8. Let h be b(7). Let z(f) = f**3 - f**2 + 1. Let n(v) = 3*v**3 - v**2 + 1. Let d(q) = -3*n(q) + 2*z(q). Determine d(h).
-7
Let v = 17 + -17. Let r(l) = l**2 + 4. What is r(v)?
4
Let z(k) = -k**2 + 11 - 9 + 5*k + k. Give z(5).
7
Let n(m) = -3*m + 1 - 5 + 5*m. Give n(5).
6
Let c(y) = -4*y**3 + 2*y - 1. Let u be (-2 + (-5)/(-3))*-3. Determine c(u).
-3
Let v(o) = -o**2 - 7*o - 6. Let j(b) = -5 + 4 + 5*b + 0*b**3 - 3 + 6*b**2 + b**3. Let z be j(-5). Calculate v(z).
6
Let w(l) = 3*l - 62. Let a be w(22). Let k(p) = -p**3 + 5*p**2 - 4*p + 1. Give k(a).
1
Suppose j = -3*f, -3*j = -j + 4*f + 4. Let o = j + 8. Let x(v) = o*v + v + v. Calculate x(1).
4
Let t(g) = g**3 + 7*g**2 - 9*g - 10. Suppose -2*x + 4*x = -16. Calculate t(x).
-2
Let c(u) be the first derivative of 1/4*u**4 - 1/2*u**2 + 7 + 4/3*u**3 + u. Determine c(-4).
5
Let i(y) = -1 - 4*y + y**2 - 11 + 5. Let c = 21 + -15. Determine i(c).
5
Let g(w) = 4*w**3 + 3*w + 1. Let i(h) = h**3 + h**2 - 1. Let l(m) = -g(m) + 3*i(m). Suppose -5*a = -0*v + v - 14, -4*v = 4. What is l(a)?
-13
Let j = 5 + -5. Suppose j = -5*g + 5*z + 10, -g + 6 = 2*g - 4*z. Let s(p) = 4*p - 2. Give s(g).
6
Let u(r) = 7*r - 11. Let s(d) = -3*d + 5. Let c(k) = -5*s(k) - 2*u(k). Let x = -6 + 10. Calculate c(x).
1
Let k(x) = 4 + x + 6 + 1. Calculate k(-6).
5
Suppose 5*d = 3*c - 16, 3 = 5*c + d - 5. Let w(z) = 9*z - 3 - 5*z**c + 0*z**2 + 4*z**2 - z. Determine w(7).
4
Let p(n) = n**3 - 3*n**2 + n. Let j be (-1 - -1)/(-2 - 0). Suppose 2*g + 14 = -2*x, -2*x = 4*g - 4*x + 4. Let q = j - g. Give p(q).
3
Let d(z) = -11*z**3 + 2*z**3 + 7*z**2 - 6*z + 8*z**3. Let m be d(6). Let i(x) = x**3 + x**2 - x + 7. Give i(m).
7
Let f = -11 - -14. Let s(r) = -r**2 + r + 4. Calculate s(f).
-2
Let y(o) be the second derivative of o**5/20 - 3*o**4/4 + o**3/6 - o**2 + 22*o. Calculate y(9).
7
Let h(m) = m**2 - m + 1. Let y = 1 - -2. Let p be (-3)/((-1)/(-3)*y). Determine h(p).
13
Let x be 2*3/(-7 + 4). Let d(j) = j**3 + 4*j**2 - 3*j - 3. Give d(x).
11
Let i(l) = -4*l + 20. Let w(c) = 3*c - 20. Let a(s) = -2*i(s) - 3*w(s). Calculate a(0).
20
Let j(f) = 2 - 3*f**2 - f**2 - 5*f + 5*f**2. Let m(z) = z**3 + 9*z**2 + 3*z - 1. Let p be m(-9). Let y = p + 31. What is j(y)?
-4
Let k(i) be the second derivative of -i**5/20 - 5*i**4/12 - i**2 - 53*i. Let c = 1 + -6. What is k(c)?
-2
Let b(w) be the first derivative of w**4/4 + w**3/3 - w**2/2 + 8*w - 11. Give b(0).
8
Let k(a) = -a**2 + 7*a. Let i be k(9). Let m = -13 - i. Let b(o) = -o**3 + 5*o**2 + 2*o - 3. What is b(m)?
7
Let u(l) be the first derivative of -1/2*l**2 + 1/3*l**3 + 0*l - 3 - 5/4*l**4. Suppose 2*i + 3*p = 8, 5*p - 8 = -i + 3*i. Determine u(i).
-5
Let x(d) = -3*d - 2. Let u be 4*(-2)/(-4) + 17. Suppose 3*g - 5*t = u, -2*t = -3*g - t - 1. What is x(g)?
4
Let r(b) = b**3 - 2*b**2 - 5*b + 3. Suppose -23*n + 21*n = -6. Give r(n).
-3
Let l(b) = 3*b**3 + 2*b**2 + 9*b - 3. Let z(g) = 2*g**3 + 2*g**2 + 8*g - 3. Let f(o) = 4*l(o) - 5*z(o). What is f(3)?
27
Let h(r) = -6*r**3 + 1. Let d be h(1). Let l = 4 - 1. Let s(u) = 6*u**2 + 2 + 6*u + 3*u**l - u**3 - u**3. What is s(d)?
-3
Let l(k) be the second derivative of -k**5/20 - k**4/3 + 5*k**3/6 - 7*k**2/2 - 2*k. Suppose -o + 4 - 2 = 0. Suppose -o*v = 17 - 7. What is l(v)?
-7
Let q(x) = x**2 - 4*x - 13. Let h(z) = -z**2 + 4*z + 14. Let i(n) = 6*h(n) + 7*q(n). Let d be (1 + 2)/(-3) + 11. Let f = -5 + d. Give i(f).
-2
Let y be 4 + 1/((-12)/38). Let u(a) be the second derivative of -2*a**2 + 1/12*a**4 + 0 + 1/20*a**5 - y*a**3 - a. What is u(-3)?
-7
Let s(q) = -q + 2. Suppose -5*w + 37 = 12. Determine s(w).
-3
Let v(i) = -2*i**2 + 3*i + 2. Let l(y) = 5*y**2 - 10*y - 6. Let w = -8 + 5. Let b(n) = w*l(n) - 8*v(n). Calculate b(-3).
-7
Let n(i) = 2*i**2 - i. Let w = -22 + 24. Give n(w).
6
Let x(i) = -3*i**2 + 9*i + 1 + 2 + 4*i**2 - 4*i. Suppose -3*j = -j + 8. What is x(j)?
-1
Suppose -5*h = -h + 4, -5*u = 2*h - 8. Suppose -2 = u*w - 4*w. Let o(z) = -z**3 - z + 1. Give o(w).
-1
Let h = -10 + 9. Let d be 5 + h - (1 - -1). Suppose -v = d*v - 3. Let r(q) = -11*q**2. Calculate r(v).
-11
Let u(q) = 2*q**2 + q + 1. Suppose -2*m - 4 = -4*z, -4*z + 7*z = -5*m + 42. Let b(x) = 3*x - 2*x - 5 + 1 - 3. Let w be b(m). Calculate u(w).
2
Let m(b) be the third derivative of -b**5/60 - b**4/4 - b**3/6 + 14*b**2. Calculate m(-6).
-1
Let a(b) = -b**3 + 6*b**2 + 6*b + 1. Let c(k) = -2*k - 9. Let v be c(-8). Let p be a(v). Let f(u) = u - 3. Determine f(p).
-9
Let j(s) = -s + 3. Let q be 2/(-2) - (-14)/2. Suppose -h + 1 = q. Calculate j(h).
8
Let r be (-5 - -1)*1*-1. Let v(l) be the second derivative of l**5/20 - l**4/3 + l**3/3 + 3*l**2/2 - 13*l. Give v(r).
11
Let i(c) = -c**3 + c**2. Let b(m) be the third derivative of -m**6/30 + m**5/30 - m**4/4 + m**3 - 3*m**2. Let j(z) = -b(z) + 5*i(z). Determine j(4).
2
Let b(v) = -6*v - v**3 - 6*v**2 - 2 + 0*v - 1. Suppose -3*i + 3*s - 16 = 2*i, 3*i - 3*s + 6 = 0. Determine b(i).
2
Let c(h) = -2*h - 7. Let r be 4/((-8)/18*39/26). What is c(r)? | {
"pile_set_name": "DM Mathematics"
} |
what is 3 + 113?
116
In base 3, what is -210101 - -2?
-210022
In base 7, what is 10025 + 4?
10032
In base 9, what is -7 - 275?
-283
In base 15, what is 6 - 11b?
-115
In base 16, what is 14c - 0?
14c
In base 16, what is -47 - 0?
-47
In base 13, what is 0 - 670?
-670
In base 12, what is -3b2 - -3?
-3ab
In base 16, what is 85 - -d3?
158
In base 13, what is -527c - 1?
-5280
In base 10, what is 2 + 102?
104
In base 10, what is 1068 - 0?
1068
In base 15, what is 435 + -5?
430
In base 16, what is -a + -11?
-1b
In base 15, what is -322 + -3?
-325
In base 2, what is 1101 + 110101110?
110111011
In base 4, what is 2 - 111201?
-111133
In base 4, what is 1101230 - 0?
1101230
In base 12, what is 1 + -1a76?
-1a75
In base 8, what is -35 - -3?
-32
In base 16, what is 1 + 2a9?
2aa
In base 4, what is 22 + 1311?
1333
In base 15, what is 0 + 27?
27
In base 11, what is -5 - 66?
-70
In base 15, what is 19e - 0?
19e
In base 11, what is -1310 - 3?
-1313
In base 12, what is -328 + -4?
-330
In base 14, what is 418 + 5?
41d
In base 15, what is 21e + -3?
21b
In base 16, what is -b53 + 2?
-b51
In base 13, what is 2 - -2ba?
2bc
In base 16, what is 26 + 9?
2f
In base 10, what is 15 - -82?
97
In base 9, what is 3 + -13?
-10
In base 14, what is 33 - -74?
a7
In base 3, what is -12 + 10011?
2222
In base 11, what is -11 + 29?
18
In base 13, what is -9214 - 2?
-9216
In base 2, what is -1111000101 + 0?
-1111000101
In base 11, what is 1 - aa?
-a9
In base 8, what is 1252 - 0?
1252
In base 13, what is -b - 3c?
-4a
In base 4, what is 3 - 111?
-102
In base 12, what is -19 - 4?
-21
In base 5, what is -2 + 111312?
111310
In base 14, what is -1282 - 4?
-1286
In base 8, what is -37 - -1?
-36
In base 14, what is -4 + 158?
154
In base 15, what is e + e?
1d
In base 15, what is 71a + 3?
71d
In base 16, what is -175 + 18?
-15d
In base 12, what is -a0 - -4?
-98
In base 7, what is 3 + 31?
34
In base 3, what is 200 + -11200?
-11000
In base 11, what is -9 + -312?
-320
In base 9, what is 66 - -5?
72
In base 16, what is e9d - 1?
e9c
In base 6, what is 10 + 4253?
4303
In base 3, what is 121011 - -1?
121012
In base 6, what is -13 - 300?
-313
In base 5, what is 102 + 20010?
20112
In base 2, what is 110 + -10100?
-1110
In base 14, what is -2 - -458?
456
In base 8, what is -5 + 17?
12
In base 13, what is -1400 + -5?
-1405
In base 10, what is 2 + 4589?
4591
In base 12, what is 1 - 5b4?
-5b3
In base 12, what is 1a5 - 4?
1a1
In base 2, what is -111001111111 - -1?
-111001111110
In base 2, what is -10101001 - -1001001?
-1100000
In base 12, what is -29 - 30?
-59
In base 8, what is 53045 + 0?
53045
In base 7, what is -1144 + -2?
-1146
In base 12, what is 2 + 79?
7b
In base 13, what is -29 + 2a?
1
In base 15, what is -6d56 - 0?
-6d56
In base 2, what is -101111 + -111100010?
-1000010001
In base 4, what is 111322 + 3?
111331
In base 6, what is 5303 + 1?
5304
In base 12, what is 15a0 - -2?
15a2
In base 3, what is -111 + 120?
2
In base 7, what is -20410 - -5?
-20402
In base 13, what is -18 + 922?
907
In base 9, what is 570 + -2?
567
In base 16, what is 10c1 - 4?
10bd
In base 2, what is -10010111 - 110?
-10011101
In base 12, what is 2 + a3?
a5
In base 8, what is -10 - 71?
-101
In base 12, what is 2 + -55a?
-558
In base 7, what is 13 - 116?
-103
In base 16, what is 4 + -68?
-64
In base 8, what is 6 + 644?
652
In base 7, what is 1 + 206?
210
In base 6, what is -5 + -4024?
-4033
In base 15, what is 0 - 30?
-30
In base 9, what is 3510 + 2?
3512
In base 9, what is -7 - 238?
-246
In base 12, what is 1 - a9?
-a8
In base 16, what is -1a - -1?
-19
In base 10, what is -44 + -1?
-45
In base 6, what is -1243 + -3?
-1250
In base 5, what is 2011 - 2?
2004
In base 16, what is -485 + 5?
-480
In base 6, what is 2535 - 1?
2534
In base 7, what is -40 - 1?
-41
In base 6, what is -5 - 104?
-113
In base 8, what is -32 - 12?
-44
In base 10, what is 215 + 1?
216
In base 3, what is -1020 + -1?
-1021
In base 5, what is -234 + -2?
-241
In base 3, what is 202110 - -1?
202111
In base 11, what is 147 - -3?
14a
In base 16, what is 1 - -13d?
13e
In base 6, what is 2032 - 0?
2032
In base 4, what is 10013 - 110?
3303
In base 13, what is -2 - 608?
-60a
In base 10, what is -476 - -1?
-475
In base 11, what is -4 + 9a?
96
In base 5, what is -3 - -10044?
10041
In base 2, what is -11 - 110011?
-110110
In base 11, what is -321 - 0?
-321
In base 16, what is 3 + -61?
-5e
In base 11, what is 4 - -25?
29
In base 4, what is -11133 + 110?
-11023
In base 9, what is -178 - 1?
-180
In base 3, what is 2210 + -10200?
-220
In base 5, what is 4 - 2103?
-2044
In base 6, what is -234 + -5?
-243
In base 2, what is -11110 - -1000?
-10110
In base 5, what is -4 - 444?
-1003
In base 8, what is 3 + 35?
40
In base 3, what is -1002121 + 21?
-1002100
In base 7, what is -540 - -22?
-515
In base 12, what is 5 - 11a?
-115
In base 14, what is -45 - -7?
-3c
In base 3, what is 212212 + 2?
212221
In base 11, what is -6 - 54?
-5a
In base 11, what is -71 - -3?
-69
In base 2, what is -10111 - 111100100?
-111111011
In base 9, what is -10402 - -1?
-10401
In base 5, what is -2 + 14414?
14412
In base 2, what is 0 + -1011111?
-1011111
In base 5, what is -104 + 12?
-42
In base 9, what is -5 + 34?
28
In base 2, what is -10000010 - 1101101?
-11101111
In base 7, what is -456 + -5?
-464
In base 8, what is 70 + 5?
75
In base 9, what is -1566 + -7?
-1574
In base 11, what is 380 - -15?
395
In base 16, what is -a - 110?
-11a
In base 15, what is 39 + d7?
121
In base 12, what is -23 + 135?
112
In base 15, what is -b4 + -1?
-b5
In base 12, what is 0 + -12?
-12
In base 5, what is -3120 + 0?
-3120
In base 16, what is -60 - 2?
-62
In base 3, what is 0 + 2220?
2220
In base 5, what is 104342 - -10?
104402
In base 10, what is -1096 - -1?
-1095
In base 14, what is 6 - -75?
7b
In base 4, what is 2122 + -31?
2031
In base 8, what is -23 - -570?
545
In base 13, what is -5c0a + -2?
-5c0c
In base 4, what is 0 - 1100010?
-1100010
In base 6, what is 1 + -4515?
-4514
In base 4, what is -3 - -13?
10
In base 12, what is 1814 - 5?
180b
In base 5, what is -44 - 23?
-122
In base 9, what is -8 + 645?
636
In base 3, what is -100020212 - 1?
-100020220
In base 11, what is -6745 + -3?
-6748
In base 6, what is 153 + 0?
153
In base 8, what is -120 - 22?
-142
In base 7, what is 616 - -4?
623
In base 3, what is -2002 + 100?
-1202
In base 14, what is -2 + 7d8?
7d6
In base 3, what is 11000 - -12?
11012
In base 10, what is 5 + -232?
-227
In base 7, what is 14 + 0?
14
In base 13, what is -5 + -11b?
-123
In base 8, what is 214 - 20?
174
In base 13, what is 82 - 6?
79
In base 5, what is 221 - 4?
212
In base 8, what is 1 - -756?
757
In base 8, what is 572 - 0?
572
In base 9, what is 22 - -13?
35
In base 3, what is 12 - 21022221?
-21022202
In base 11, what is -20 + -50?
-70
In base 11, what is -1063 - -4?
-105a
In base 6, what is 1 + -453?
-452
In base 4, what is -130 - -233?
103
In base 14, what is 5 + 1d9?
200
In base 5, what is 0 + -20322?
-20322
In base 10, what is 27 - 112?
-85
In base 10, what is 20 + 16?
36
In base 11, what is -55 + 2?
-53
In base 2, what is 1001110100 - -1011?
1001111111
In base 4, what is -30 - 202?
-232
In base 9, what is 6 + 18?
25
In base 4, what is -103100 - -3?
-103031
In base 4, what is -3 + 32?
23
In base 11, what is 66 + 125?
190
In base 4, what is -1312 + 10?
-1302
In base 9, what is -800 - -7?
-782
In base 14, what is 0 + 199?
199
In base 12, what is -a + -70?
-7a
In base 16, what is 1e + -19?
5
In base 10, what is -280 - -4?
-276
In base 12, what is a - 21?
-13
In base 12, what is 2093 + -5?
208a
In base 5, what is 1100 - 0?
1100
In base 5, what is -4 + -100?
-104
In base 7, what is 16 - -1?
20
In base 15, what is 5 - -84?
89
In base 11, what is 953 + -1?
952
In base 2, what is -1000 + -111?
-1111
In base 6, what is -12 - -1141?
1125
In base 12, what is -2 - 17a8?
-17aa
In base 2, what is 10 - -110010?
110100
In base 9, what is -633 - 5?
-638
In base 10, what is -8 - 11?
-19
In base 6, what is -3 - -155?
152
In base 8, what is -35 + 313?
256
In base 10, what is -6 + 8?
2
In base 13, what is 12 - 11?
1
In base 11, what is -62a6 + 5?
-62a1
In base 15, what is 2d3 + 3?
2d6
In base 3, what is 101 + 202?
1010
In base 5, what is 341 - -3?
344
In base 8, what is -4 + 340?
334
In base 9, what is -115 - -21?
-84
| {
"pile_set_name": "DM Mathematics"
} |
t h be 13 - 17 - (-3)/(-1). Put -2/5, 0.3, h, -3/8 in descending order.
0.3, -3/8, -2/5, h
Let v = 431/2105 - 2/421. Sort -0.4, 0.4, 0.43, v.
-0.4, v, 0.4, 0.43
Let o = -139 - -163. Let b = 26.01 - 2.31. Let m = b - o. Sort 2/17, m, -2 in descending order.
2/17, m, -2
Let t be (-18)/39 + 95/65. Suppose -4*l = 2*a - 8*l - 14, -4*a + l + 21 = 0. Sort t, -2, a, -5 in decreasing order.
a, t, -2, -5
Let u(t) = -5*t - 3. Let i(v) = v. Let s(q) = 4*i(q) + u(q). Let z be s(-2). Put z, -2, 1 in increasing order.
-2, z, 1
Let p = -5819/7 + 830. Sort -0.01, p, -5 in decreasing order.
-0.01, p, -5
Let o = -572 + 571.96. Let p = 7/15 + -2/3. Put o, 0.3, p in decreasing order.
0.3, o, p
Let z = 0.2 - 0.3. Let d = 82.4 + -87.49. Let g = d + 0.09. Put z, g, -2/21 in decreasing order.
-2/21, z, g
Let t = -31 + 30.7. Sort 4, t, 8/11, 2/3 in decreasing order.
4, 8/11, 2/3, t
Let o = 0.62 + -1.42. Let u = -1.2 - -0.8. Sort 2, u, o in decreasing order.
2, u, o
Suppose -4*b = -5*l - 8, 5*b - 5*l = 6 + 9. Let i = 0.01 - -1.99. Sort i, 5/4, b in ascending order.
5/4, i, b
Let i = 8.3 + -8. Let r be 5 + -1 + (-34)/4 + 6. Put r, i, -1/2, -12 in increasing order.
-12, -1/2, i, r
Let b = 14 - 17. Let g be (-4)/12*b + -2. Let d = 429/7 - 61. Put -0.1, d, g in increasing order.
g, -0.1, d
Let q(m) = -m**2 + 10*m + 8. Let t be q(9). Suppose 4*w + t - 5 = 0. Put w, -5, -1 in increasing order.
-5, w, -1
Let y(s) = 5*s + 18. Let r be y(-4). Sort -4, 4, -22, r.
-22, -4, r, 4
Suppose 0 = -7*a + 495 - 103. Let k = a + -54. Put -3, -5, k in increasing order.
-5, -3, k
Let c = -21 + 24. Let k be 10/(-1) - (-3 - -5). Let j be (k/8)/(2/8). Put c, j, -2 in ascending order.
j, -2, c
Let v = -209/7 + 30. Let h = -39.7 + 41.7. Sort h, v, -1/5 in descending order.
h, v, -1/5
Let p be (-4)/(-14) - 38/(-14). Suppose 3*l = -6, -7*c = -10*c + 5*l + 22. Put p, c, 1 in ascending order.
1, p, c
Let x(n) = -8*n**2 + 6*n - 2. Let d be x(2). Sort d, 3, -1, 4.
d, -1, 3, 4
Let f = -0.07 - -0.07. Let q = -0.2 + f. Sort 2/9, q, 2/7 in decreasing order.
2/7, 2/9, q
Suppose 2*v = -15 + 13. Sort -134, v, 4 in decreasing order.
4, v, -134
Let v be (18/(-36)*1)/((-4)/(-10)). Put -0.2, v, -0.3 in decreasing order.
-0.2, -0.3, v
Let q be 2/3 + (32672/(-15540))/4. Let a = q - 2/259. Sort 11, -3, a in decreasing order.
11, a, -3
Let d = -27 + 11. Let r = d + 22. Let k be r + -1 + -3 + 1. Sort 5, k, 2/3.
2/3, k, 5
Let h(t) = -t - 5. Let v be h(-5). Suppose -24*g + 280 - 64 = 0. Put g, -2, v, -5 in increasing order.
-5, -2, v, g
Let b = -0.093 + 2.093. Sort 5/2, b, 3 in ascending order.
b, 5/2, 3
Let c be (-3)/154 + (4272/(-224) - -19). Let m = -2.02 + 0.02. Put c, 0, m in increasing order.
m, c, 0
Let c be 35/(-42)*6/(-70). Sort c, 0, 2 in decreasing order.
2, c, 0
Let r = -32.2 + 32.7. Put r, -3/2, 4/3, -0.1 in decreasing order.
4/3, r, -0.1, -3/2
Let q = -70/187 - 515/1122. Let m = 0.3 + 0.2. Put q, -1, 5, m in increasing order.
-1, q, m, 5
Let r = 42 - -70. Suppose -r = 3*a - 115. Put -6, a, -5 in decreasing order.
a, -5, -6
Let k(l) = l**2 - l - 5. Let b be k(0). Suppose -16*w + 14*w - 3*r + 10 = 0, 3*r - 12 = 0. Sort -2, -4, w, b in decreasing order.
w, -2, -4, b
Suppose -6 = -k + h - 4*h, -3*k = -h - 8. Sort 1/5, k, 2/7, 13.
1/5, 2/7, k, 13
Let n = 25.41 + -0.41. Let o = -23.9 + n. Let i = o - 1.6. Sort 2, -4, i.
-4, i, 2
Let p be 200/32 - 3/(-4). Let h(k) = -p + k - 2*k + 5 - 5. Let s be h(-5). Sort s, -1/6, 0.3.
s, -1/6, 0.3
Suppose 0 - 2 = -c. Let n(q) = 1 + 2 + 5 - c*q - 1. Let o be n(4). Put -3, 2, o in ascending order.
-3, o, 2
Let y = -0.8 - -0.6. Let j = -15 + 29. Let z = -16 + j. Sort y, -5/6, z in ascending order.
z, -5/6, y
Let k = 1.65 - 1.6. Put 1/4, 8, 0, k in increasing order.
0, k, 1/4, 8
Let x = -1 + 2. Let y(r) be the first derivative of -r**3/3 + 10. Let g be y(x). Sort 3, g, -3 in decreasing order.
3, g, -3
Let s(b) = -b**2 - 4*b - 5. Let k be s(-4). Let z = k + 8. Let a = 8 - 3. Sort z, -4, a in decreasing order.
a, z, -4
Let g = 21.8 - 22.8. Let n = -3 - 0. Sort n, 0, g, -0.03 in decreasing order.
0, -0.03, g, n
Let p be (-4)/(-5 - (-5 - 4) - -18). Let i = -23 - -22.6. Put i, 0.5, 4, p in ascending order.
i, p, 0.5, 4
Suppose z - 3*q = 9, -88*z + 6 = -90*z - 2*q. Sort z, -24, -5.
-24, -5, z
Let m(d) = d**3 + 19*d**2 - 24*d - 83. Let r be m(-20). Let w be 2*((-15)/(-6) + -3). Put r, -2, 0, w in ascending order.
r, -2, w, 0
Let y(j) = -j**2 + 5*j - 1. Let q be y(3). Let m = 2208 + -2213. Sort q, -4, m.
m, -4, q
Let m = -2 - -1. Suppose -6 + 0 = -i. Let j be (m - 0) + i + -3. Sort 6, 1, j in ascending order.
1, j, 6
Let f = -18.8 + 23. Sort 3, 2, f in ascending order.
2, 3, f
Let r = 16.2 - 12.2. Put -1/8, -0.4, -0.1, r in descending order.
r, -0.1, -1/8, -0.4
Let y = 1 + 3. Suppose 2*z - 9 = -3. Suppose z*u = -4*j + 4, -2*u - 3*j = -u - 8. Sort u, 0, y.
u, 0, y
Let m = -49 + 147. Let o = 97.92 - m. Sort o, -3, -3/4 in ascending order.
-3, -3/4, o
Let t = 4.95 - -0.75. Let v = t + -1.7. Sort 5, v, -3/5 in decreasing order.
5, v, -3/5
Let r(b) = b + 11. Let c be r(-7). Suppose 0 + 8 = 2*m. Suppose 0*p - c = m*p. Sort 4, p, -5 in descending order.
4, p, -5
Let h = 704/35 - -58/7. Let b = h - 148/5. Suppose -2*s + 10 = 4*m - m, m - 2 = -2*s. Sort b, -1, m.
b, -1, m
Let q be (534/18)/(22/210). Let d = q + -283. Put d, -4/3, -1/5 in decreasing order.
d, -1/5, -4/3
Let i = -0.179 - -0.379. Let h = -0.44 + 0.04. Sort h, 5, i, 0.1 in ascending order.
h, 0.1, i, 5
Let v = 2 + -2. Let g = 6.3 + -7.3. Put g, 1/8, 5, v in increasing order.
g, v, 1/8, 5
Let u = -20.85 + 22.05. Sort 4/9, u, 2 in decreasing order.
2, u, 4/9
Let m = 36.7 - 33.7. Sort m, -0.19, -2 in decreasing order.
m, -0.19, -2
Let h be ((-24)/(-16))/((-10)/16 - -1). Put h, 3/5, 2, 14/5 in increasing order.
3/5, 2, 14/5, h
Let s = 0.552 + 4.448. Put s, -5/4, 0.3, -0.4 in descending order.
s, 0.3, -0.4, -5/4
Suppose -19*d - q - 219 = -16*d, -2*d - 146 = 3*q. Sort d, 1, 4, 3.
d, 1, 3, 4
Suppose 3*w - 4 + 3 = 2*x, -4*x - 4*w + 8 = 0. Sort x, -1, 2, 12 in ascending order.
-1, x, 2, 12
Let i = 411 + -411.02. Sort 1, 0.5, i in decreasing order.
1, 0.5, i
Suppose -17 = -y - 5*j, 6*j = -3*y + 8*j. Put 4, -33, y in decreasing order.
4, y, -33
Let a be (2/4)/((-9)/18). Suppose 5*x = 3*n + 40, -x - 3*n = -4*n - 10. Suppose 17 = 3*z + w - x*w, 8 = -4*w. Sort a, 0, z in decreasing order.
z, 0, a
Suppose -1227*m = -1216*m - 44. Let q be -1 - 0 - (-6 - -5). Sort q, -5, m in descending order.
m, q, -5
Let x(s) = -s**2 + 6*s - 7. Let k be x(7). Let l be 2/4*12/k. Put 2/7, l, 0.3 in decreasing order.
0.3, 2/7, l
Let o be 2/(-10) - (-1650)/125. Put o, -3, 3 in increasing order.
-3, 3, o
Let y = -560 - -516. Sort -3, -1, y.
y, -3, -1
Let f(b) be the first derivative of 2*b**3/3 - 5*b**2 + 3*b + 18. Let j be f(4). Put -3, j, -1 in increasing order.
j, -3, -1
Let w = 133 + -132. Let p be (-1 - 1)/(45/(-3)). Sort w, -1, p, 0.3 in decreasing order.
w, 0.3, p, -1
Let j = 43/3 - 131/9. Let y be (-4)/35*(2 + (-20)/24). Let z = 1 + -2. Sort y, j, z in decreasing order.
y, j, z
Let n = 3.4 - 0.64. Let o = n - -0.24. Sort 2, 0.4, o in descending order.
o, 2, 0.4
Let l be (-15 + 5)/((-5)/2 - 0). Suppose 6*f + 51 = 39. Sort -1, f, l in decreasing order.
l, -1, f
Let h = 35.2 - 34.2. Let j = -0.36 - 0.04. Sort -0.2, j, h.
j, -0.2, h
Let b = -158 + 156. Let f be 2*(1 - 9/(-6)). Put f, 1, -3, b in decreasing order.
f, 1, b, -3
Suppose 2 = 2*p - m, 7 + 4 = p - 3*m. Let u = 14 + -9. Suppose -2 = 3*w - 6*d + d, -u*w = 3*d + 26. Sort -2, w, p.
w, -2, p
Let a = -1 + 1. Let v = a + 1. Let m be (-28)/(-6)*(-72)/(-84). Put -1, m, v in ascending order.
-1, v, m
Let m = -10 + 6. Let u be (26/(-156))/((-11)/(-6) + -2). Sort m, u, 5 in descending order.
5, u, m
Let h(c) = 2*c - 2. Let v be h(1). Let p(d) = d**2 + 2*d + 5. Let o be p(v). Sort 1, o, -1, 6 in increasing order.
-1, 1, o, 6
Let a = -74822.99 - -74016. Let y = a + 802. Let v = y + -0.01. Sort 1.6, v, -3.
v, -3, 1.6
Let f = -6.18 - -0.38. Let q = f + 5.5. Sort 4/7, q, 1/2, -1/3.
-1/3, q, 1/2, 4/7
Let j = 200.84 + 0.86. Let g = j - 202. Let d = -0.1 + -0.1. Put -3/17, d, g in descending order.
-3/17, d, g
Let f = 1.331 + -1.431. Put 3/4, 28, -2, f in ascending order.
-2, f, 3/4, 28
Suppose -10 = h + 3*u - 0*u, -h - 1 | {
"pile_set_name": "DM Mathematics"
} |
ided by 17?
12
What is the remainder when 30 is divided by 25?
5
Calculate the remainder when 1739 is divided by 17.
5
What is the remainder when 3164 is divided by 32?
28
Calculate the remainder when 70 is divided by 36.
34
What is the remainder when 919 is divided by 92?
91
Calculate the remainder when 81 is divided by 51.
30
Calculate the remainder when 2209 is divided by 619.
352
What is the remainder when 677 is divided by 326?
25
What is the remainder when 1583 is divided by 122?
119
What is the remainder when 1030 is divided by 45?
40
What is the remainder when 2575 is divided by 1283?
9
Calculate the remainder when 289 is divided by 244.
45
What is the remainder when 8623 is divided by 115?
113
What is the remainder when 1612 is divided by 1607?
5
Calculate the remainder when 346 is divided by 9.
4
What is the remainder when 24 is divided by 1?
0
Calculate the remainder when 1622 is divided by 32.
22
Calculate the remainder when 1026 is divided by 37.
27
What is the remainder when 220 is divided by 117?
103
Calculate the remainder when 1944 is divided by 149.
7
What is the remainder when 3821 is divided by 382?
1
What is the remainder when 516 is divided by 155?
51
Calculate the remainder when 21 is divided by 11.
10
What is the remainder when 51567 is divided by 6?
3
What is the remainder when 768 is divided by 129?
123
Calculate the remainder when 1301 is divided by 56.
13
Calculate the remainder when 9706 is divided by 16.
10
Calculate the remainder when 1896 is divided by 190.
186
Calculate the remainder when 6473 is divided by 4.
1
Calculate the remainder when 119 is divided by 12.
11
Calculate the remainder when 643 is divided by 4.
3
Calculate the remainder when 111 is divided by 49.
13
Calculate the remainder when 379 is divided by 48.
43
What is the remainder when 48305 is divided by 249?
248
What is the remainder when 4912 is divided by 11?
6
What is the remainder when 2857 is divided by 99?
85
What is the remainder when 2384 is divided by 2380?
4
What is the remainder when 213 is divided by 37?
28
What is the remainder when 5779 is divided by 107?
1
What is the remainder when 594 is divided by 150?
144
Calculate the remainder when 283 is divided by 26.
23
What is the remainder when 21 is divided by 15?
6
Calculate the remainder when 403 is divided by 199.
5
Calculate the remainder when 2484 is divided by 71.
70
What is the remainder when 1606 is divided by 8?
6
Calculate the remainder when 1246 is divided by 174.
28
What is the remainder when 421 is divided by 5?
1
Calculate the remainder when 195 is divided by 26.
13
Calculate the remainder when 78 is divided by 41.
37
Calculate the remainder when 289 is divided by 30.
19
What is the remainder when 656 is divided by 22?
18
Calculate the remainder when 280 is divided by 59.
44
What is the remainder when 52 is divided by 17?
1
What is the remainder when 164 is divided by 49?
17
Calculate the remainder when 59 is divided by 15.
14
What is the remainder when 297 is divided by 49?
3
Calculate the remainder when 1339 is divided by 364.
247
What is the remainder when 288 is divided by 49?
43
Calculate the remainder when 2020 is divided by 227.
204
What is the remainder when 2406 is divided by 105?
96
What is the remainder when 316 is divided by 33?
19
What is the remainder when 1207 is divided by 247?
219
What is the remainder when 1168 is divided by 45?
43
What is the remainder when 4942 is divided by 16?
14
Calculate the remainder when 579 is divided by 21.
12
Calculate the remainder when 255 is divided by 52.
47
What is the remainder when 879 is divided by 190?
119
What is the remainder when 636 is divided by 1?
0
Calculate the remainder when 302 is divided by 97.
11
What is the remainder when 35 is divided by 8?
3
Calculate the remainder when 17 is divided by 14.
3
What is the remainder when 333 is divided by 116?
101
Calculate the remainder when 107 is divided by 33.
8
What is the remainder when 162 is divided by 154?
8
What is the remainder when 8866 is divided by 48?
34
What is the remainder when 195 is divided by 9?
6
What is the remainder when 123 is divided by 76?
47
Calculate the remainder when 615 is divided by 3.
0
Calculate the remainder when 569 is divided by 7.
2
Calculate the remainder when 56 is divided by 48.
8
What is the remainder when 615 is divided by 17?
3
Calculate the remainder when 424 is divided by 25.
24
What is the remainder when 354 is divided by 93?
75
Calculate the remainder when 5133 is divided by 42.
9
What is the remainder when 5979 is divided by 68?
63
What is the remainder when 73 is divided by 13?
8
What is the remainder when 2276 is divided by 34?
32
Calculate the remainder when 3710 is divided by 64.
62
What is the remainder when 58629 is divided by 28?
25
Calculate the remainder when 291 is divided by 37.
32
What is the remainder when 1452 is divided by 27?
21
Calculate the remainder when 99 is divided by 3.
0
What is the remainder when 57 is divided by 15?
12
Calculate the remainder when 957 is divided by 263.
168
Calculate the remainder when 64 is divided by 48.
16
Calculate the remainder when 84 is divided by 17.
16
What is the remainder when 782 is divided by 113?
104
Calculate the remainder when 74 is divided by 9.
2
Calculate the remainder when 1209 is divided by 135.
129
Calculate the remainder when 812 is divided by 34.
30
Calculate the remainder when 23144 is divided by 36.
32
Calculate the remainder when 2187 is divided by 11.
9
What is the remainder when 772 is divided by 86?
84
What is the remainder when 107 is divided by 95?
12
Calculate the remainder when 2654 is divided by 5.
4
What is the remainder when 19 is divided by 2?
1
What is the remainder when 183 is divided by 32?
23
Calculate the remainder when 72 is divided by 29.
14
What is the remainder when 16126 is divided by 42?
40
What is the remainder when 389 is divided by 94?
13
Calculate the remainder when 783 is divided by 16.
15
Calculate the remainder when 66 is divided by 13.
1
Calculate the remainder when 1144 is divided by 144.
136
Calculate the remainder when 1773 is divided by 126.
9
What is the remainder when 357 is divided by 163?
31
Calculate the remainder when 3428 is divided by 132.
128
What is the remainder when 563 is divided by 12?
11
What is the remainder when 1135 is divided by 169?
121
What is the remainder when 141 is divided by 23?
3
Calculate the remainder when 84 is divided by 25.
9
What is the remainder when 3477 is divided by 49?
47
Calculate the remainder when 2635 is divided by 4.
3
What is the remainder when 171 is divided by 48?
27
What is the remainder when 3490 is divided by 348?
10
Calculate the remainder when 1168 is divided by 291.
4
What is the remainder when 579 is divided by 5?
4
What is the remainder when 311 is divided by 6?
5
Calculate the remainder when 1700 is divided by 155.
150
Calculate the remainder when 924 is divided by 30.
24
What is the remainder when 2546 is divided by 49?
47
What is the remainder when 4164 is divided by 35?
34
Calculate the remainder when 65 is divided by 27.
11
What is the remainder when 323 is divided by 36?
35
Calculate the remainder when 1031 is divided by 93.
8
What is the remainder when 171 is divided by 72?
27
Calculate the remainder when 157 is divided by 2.
1
Calculate the remainder when 438 is divided by 113.
99
What is the remainder when 400 is divided by 66?
4
Calculate the remainder when 742 is divided by 282.
178
Calculate the remainder when 369 is divided by 134.
101
Calculate the remainder when 558 is divided by 112.
110
What is the remainder when 14 is divided by 5?
4
What is the remainder when 230 is divided by 30?
20
What is the remainder when 5436 is divided by 170?
166
Calculate the remainder when 67 is divided by 15.
7
What is the remainder when 653 is divided by 33?
26
Calculate the remainder when 410 is divided by 68.
2
Calculate the remainder when 19534 is divided by 296.
294
What is the remainder when 154 is divided by 147?
7
Calculate the remainder when 748 is divided by 176.
44
What is the remainder when 60 is divided by 23?
14
What is the remainder when 109 is divided by 53?
3
What is the remainder when 2589 is divided by 54?
51
What is the remainder when 168 is divide | {
"pile_set_name": "DM Mathematics"
} |
(b) -3.9 (c) -1.3 (d) -5
c
Which is the closest to -21361? (a) 0 (b) 2/3 (c) 0.1 (d) -0.2
d
What is the closest to 0 in -5, 5/2, -4/9, 2/15, -2?
2/15
What is the closest to 3/658 in 1, -1/3, 6?
-1/3
Which is the nearest to -2/5? (a) 7650 (b) -2/5 (c) -12
b
What is the nearest to 9 in 190, -1/2, -2/13?
-2/13
What is the closest to 1 in -8949, 0, -1.6, -3?
0
What is the closest to 2/35 in -0.11, 1/2, 4/7, -0.4, -57/2?
-0.11
What is the nearest to -5 in -2/5, 0.05, 16.8?
-2/5
Which is the nearest to -2/9? (a) -4/3 (b) 0.3 (c) -17/22
b
Which is the closest to 5? (a) -0.141 (b) 2/13 (c) -10
b
What is the nearest to 0.048 in 579, 2, -0.5?
-0.5
Which is the closest to 0.4? (a) 2/23 (b) 0.2 (c) -0.4 (d) -5
b
Which is the closest to -0.6? (a) -0.044 (b) 0 (c) 0.145
a
What is the nearest to -1/4 in -1747, -1, 4?
-1
What is the nearest to 1 in -0.3, 117/7, 3/4, -5?
3/4
Which is the closest to 136? (a) -0.01 (b) -2/33 (c) -1/3
a
What is the nearest to -2 in 1/7, 1, 0.2, 140?
1/7
What is the closest to 2/5 in 2/11, -707, 2?
2/11
Which is the nearest to -1/34? (a) -1/7 (b) 3/8 (c) -2 (d) 15.4 (e) 1/6
a
What is the nearest to 0.4 in -9.2, -0.5, 0.1, -12, 2/21?
0.1
What is the closest to -47.4 in -0.3, -5, -0.24?
-5
Which is the nearest to -35/824? (a) -0.6 (b) 4/7 (c) 4 (d) 5
a
What is the closest to 325 in -6, 3, -3/2, -5?
3
Which is the closest to -1/2? (a) -0.5 (b) -0.05665 (c) 4/7 (d) 5 (e) -2/11
a
What is the nearest to -2/221 in 5, -107, -10, 1/2?
1/2
What is the closest to 1 in -14, 0, -63, 4, 2/15?
2/15
Which is the closest to -3786? (a) -5 (b) -2/9 (c) 0.2
a
Which is the closest to 0.91? (a) 3 (b) 9 (c) 0.1
c
Which is the nearest to 0.4? (a) 232 (b) -0.01 (c) 2 (d) -2/9
b
What is the closest to 1/8 in -1, -4, -1/6, 8?
-1/6
What is the nearest to -0.1 in -77/8, 5, 0.8?
0.8
Which is the nearest to -0.1? (a) -24 (b) 0.5 (c) 1 (d) 8/3
b
What is the nearest to 0 in -0.4, 0.0409, -2/17?
0.0409
What is the nearest to -1/2 in -8/9, -1, -551?
-8/9
What is the closest to 20/7 in 3, 2/27, -1/11?
3
Which is the closest to -207? (a) 3 (b) -3 (c) 0.1 (d) 2.43 (e) -0.5
b
Which is the closest to 1.6? (a) 0.2 (b) 0 (c) 4/3 (d) -0.37
c
Which is the closest to -665? (a) -1 (b) 8/7 (c) 3
a
What is the closest to -2/3 in -620, -1/3, -2, 2/9?
-1/3
Which is the closest to -1/5? (a) -0.4 (b) -0.3 (c) 1.175 (d) 2/41
b
Which is the nearest to -2/7? (a) -48 (b) 3/7 (c) 5/2 (d) 1/3
d
Which is the closest to 2? (a) -107 (b) -0.2 (c) -1.3
b
Which is the nearest to 0.1? (a) -5 (b) -3/67 (c) 1.5
b
What is the closest to -3 in -1/5, 345, -1/2, -4/3?
-4/3
Which is the nearest to -11/2? (a) -3 (b) 1/39 (c) -0.2 (d) 11.2
a
Which is the nearest to 2/3? (a) -3 (b) 0 (c) -4/13 (d) -118
b
Which is the nearest to -63? (a) -0.003 (b) -1/5 (c) 0.5
b
What is the nearest to 2 in 127, -2/11, -2/17, -1?
-2/17
What is the closest to -4/11 in 1/6, -1/80, 2/9, -57, -2/7?
-2/7
What is the closest to 0.2 in 2, -49, -0.68, -2/9?
-2/9
Which is the nearest to 0? (a) 298/3 (b) -0.01 (c) -12/17 (d) 0.2
b
Which is the nearest to 8? (a) -2/9 (b) 0.1099 (c) 0.3 (d) 0.1
c
What is the nearest to 0.7 in -17/7, 5, 16, -2?
-2
Which is the closest to 0.4? (a) 1.22 (b) -2 (c) 6
a
Which is the closest to -1? (a) -10/9 (b) 1/3 (c) -2162
a
Which is the closest to -0.035? (a) 1/447 (b) 0.4 (c) -3 (d) -2
a
What is the closest to 0.1 in -0.1183, 0.1, 3, -14?
0.1
Which is the nearest to 156? (a) -1/59 (b) 0.4 (c) -0.5 (d) 0.05
b
Which is the nearest to -3/4? (a) 3 (b) -208/55 (c) -2/9
c
Which is the closest to -294/253? (a) 0.5 (b) 0.3 (c) 3/4 (d) 0.2
d
Which is the closest to -2.24? (a) -0.2 (b) 4 (c) -3
c
Which is the nearest to -1? (a) 2 (b) 26 (c) -0.2 (d) 2668 (e) -1/8
c
Which is the closest to -3/8? (a) 207/10 (b) -5/2 (c) 3/2
c
Which is the nearest to -16? (a) 100 (b) -5 (c) 12
b
Which is the nearest to 1/2? (a) -0.4187 (b) 2 (c) 3 (d) -4 (e) 0.13
e
Which is the closest to -3? (a) -3 (b) -0.5 (c) -8 (d) -0.28
a
Which is the nearest to 1? (a) 3 (b) 0.6 (c) 3/8 (d) -0.088
b
What is the closest to 7 in 5, -379, 2/13, -4?
5
What is the nearest to 5/6 in 0.0195, -0.2, -1, -4?
0.0195
What is the closest to 0 in -50, 4/7, -3, 4?
4/7
Which is the nearest to 1? (a) 2 (b) -1/7 (c) -0.015 (d) 32 (e) -0.03
a
Which is the closest to -3/11? (a) -5 (b) 0.4 (c) 4/47 (d) -2
c
What is the closest to 73 in -2/29, 2, -5/3?
2
What is the closest to 3 in -0.2, 1/24, -26?
1/24
Which is the nearest to 2? (a) 0.5 (b) 6 (c) -4 (d) 2/17
a
Which is the nearest to -1? (a) -111 (b) 12 (c) -2/11
c
What is the nearest to -0.22 in -0.018, -1, -2/7, 2, 0.2?
-2/7
What is the nearest to 2 in 70, 7/4, -2/23, -18?
7/4
What is the nearest to -24039 in 1/5, 5, -5?
-5
Which is the nearest to -148? (a) -0.136 (b) 0 (c) 1/2
a
What is the closest to 1 in 3, -2/7, 491?
-2/7
Which is the closest to 6? (a) -1 (b) -1/19 (c) -1/5 (d) 0.5 (e) 391
d
What is the nearest to 0 in -3/8, 0.012, 0.4, -136?
0.012
What is the closest to 3/4 in 5, -2, -518588?
-2
Which is the closest to -2283? (a) 0.043 (b) 0 (c) -1 (d) 2/3
c
What is the closest to -0.1 in 84, 1/3, -34, 0.2, 3?
0.2
Which is the closest to 3/2? (a) 25 (b) 0.5 (c) 0.2 (d) 1
d
What is the closest to -0.11 in -1, -1090, 1/2?
1/2
What is the closest to -0.3 in 4, 0.1, -2, 3/16, -8/23?
-8/23
Which is the nearest to -3? (a) 2/9 (b) 27.66 (c) 1/2
a
What is the closest to -2/5 in -523, -2, 2/7, 1?
2/7
Which is the nearest to -7? (a) 3/4 (b) 5 (c) -1 (d) 2 (e) -12
e
Which is the nearest to 1? (a) 2 (b) 2/13 (c) -8 (d) 5/9 (e) -44
d
Which is the closest to 17? (a) -1/3 (b) -8/13 (c) 0.069 (d) 2
d
Which is the closest to -1/2? (a) 0.4 (b) -2/5 (c) -769 (d) 4
b
What is the closest to 36 in 0.5, 1, -29.1?
1
What is the closest to -0.3 in -1, -4963, 0?
0
Which is the closest to 466? (a) 0.1 (b) 0 (c) -0.02
a
Which is the nearest to 99.3? (a) 2 (b) 0.3 (c) -0.4 (d) -12
a
What is the nearest to -2 in 7, 5/4, 0.09, -5?
0.09
Which is the nearest to 1/3? (a) 70 (b) 1/5 (c) -1 (d) -4 (e) -0.23
b
Which is the closest to -3? (a) -2/5 (b) 1/32 (c) -1/2 (d) 66
c
Which is the nearest to -5/8? (a) -5 (b) -3 (c) -0.9 (d) -10
c
What is the closest to -1 in -0.03, -0.05979, -0.1?
-0.1
What is the closest to 3/4 in -0.29, -0.1, 2, 2/19?
2/19
Which is the closest to 1? (a) -2/47759 (b) 0.5 (c) 0.2
b
Which is the closest to -0.04? (a) 16 (b) -2/7 (c) 5 (d) 0.5 (e) 45
b
Which is the closest to -0.04? (a) -5 (b) -4/3 (c) -0.0624
c
Which is the nearest to 36/7? (a) -9 (b) -0.2 (c) -0.3
b
What is the closest to -12 in 2/5, 38, 0.03?
0.03
Which is the nearest to -3/187? (a) -0.3 (b) 0.59 (c) 2
a
Which is the closest to 2/3? (a) 7.07 (b) 0.5 (c) 0
b
What is the nearest to 1 in 50, 0, 1/11, -18, -2?
1/11
What is the closest to 4 in 5/4, -0.3, 0, 157, -3?
5/4
What is the nearest to -1/2 in -0.4, 5, -6.77, -3/2, -2?
-0.4
What is the nearest to -24/5 in -1, -0.1, 0.5, 2/13?
-1
Which is the nearest to -8407? (a) 0.1 (b) 3/4 (c) -0.4
c
What is the closest to 0.25 in 2, 2/129, 7, -2?
2/129
Which is the closest to -0.5? (a) 1 (b) 0.3 (c) -74.89
b
Which is the closest to 0.3? (a) -1/4 (b) 0.2611 (c) -1/13
b
Which is the nearest to 0.1708? (a) 2/15 (b) 11 (c) 1/4
a
What is the closest to -10/93 in -4, 34, 3/4, 5, -0.2?
-0.2
Which is the nearest to -1? (a) 4 (b) 3/4276 (c) -0.1
c
Which is the nearest to 2/5? (a) 5/2 (b) -53/7 (c) -3/7 (d) 4
c
What is the closest to -7/8 in 4, -8, 66.6, 0?
0
Which is the closest to -3? (a) 6 (b) -2 (c) -14 (d) 2
b
What is the closest to 26 in 287, 2/25, 4/9?
4/9
Which is the closest to -0.2? (a) -3 (b) -1/11 (c) 0.4 (d) 7105
b
What is the closest to 2/9 in 0.01, -0.1, 77, 4, -3?
0.01
What is the closest to 3 in 1.4, -1/5, -0.018?
1.4
Which is the closest to -1/3? (a) 151.1 (b) -3 (c) -0.8 (d) 3/2
c
What is the closest to 3/2 in 0, -2/5, -3, -2376, 0.3?
0.3
What is the closest to 0.03 in 96, 4, -13, 5?
4
What is the nearest to 10 in 1/2, -0.5, -20, -1?
1/2
Which is the nearest to 5? (a) 0.5 (b) -11 (c) -0.2 (d) 15.3 (e) 2/5
a
Which is the closest to | {
"pile_set_name": "DM Mathematics"
} |
.
88
What is the lowest common multiple of 81*(7 - 0 - 57/9) and 66?
594
Let t(m) = 49*m - 103. Let v be t(2). What is the lowest common multiple of 48 and (0/v)/(-14) - (1 + -13)?
48
Calculate the common denominator of -77/208 and ((-177)/1300)/(32/40) - (-6)/(-30).
208
Let t = 3695 - 240181/65. What is the common denominator of t and 89/70?
910
Suppose -6*h = -8*h - 3*i - 905, 3*h = -5*i - 1359. Let j = h - -518. Calculate the least common multiple of 10 and j.
70
Calculate the smallest common multiple of 4252 and 3/6*(2 - 1)/((-26)/(-624)).
12756
Let v be -5 + 2 - (-5 + 2). Suppose -2*q + 6*q = 32. Suppose v*a - 4*l = 4*a - q, 4*a - 5*l = -1. What is the lowest common multiple of 34 and a?
34
What is the common denominator of 14/2 + ((-1275018)/2520)/73 and -19/48?
1680
Suppose -5*q - 20 = -4*f + 3*f, f - 17 = 4*q. What is the least common multiple of 22 and (-108)/(-72)*(-328)/q?
1804
Let c = 1509221/460 - 16404/5. Calculate the common denominator of c and 131/920.
920
What is the common denominator of (-435)/(-21)*(10 - (-28773)/(-2880)) and 53/168?
1344
Suppose -50 + 60 = p. Suppose -3*i + 4*q = q - 30, -2*i + 5 = q. What is the least common multiple of i and p?
10
Let g be (-21)/1899*(1 - 115). Let r = 26869/6752 - g. Calculate the common denominator of r and 15/52.
416
Let d(c) = c - 27. Let x = -103 + 102. Let b be (x/(2/90))/((-180)/120). What is the smallest common multiple of 2 and d(b)?
6
Let b = 228 + -67. Suppose 2*l + 73 = b. Calculate the least common multiple of l and 36.
396
Let p(m) = 3*m**3 + 4*m**2 - 2*m - 6 - 6*m**3 - 3*m**3. Let j be p(-2). What is the common denominator of ((9/12)/1)/((-3)/j) and -61/8?
8
Suppose -2*z + 73 = -3*z. Let m = z + 73. Calculate the smallest common multiple of 1*(m - -2) + (20 - 0) and 22.
22
Let b = -104 + 107. Calculate the smallest common multiple of 6 and 1*b/(-4)*-4.
6
Let x(h) = -2*h**3 + 13*h**2 + 5*h + 16. Let v be x(7). Suppose -b = v*i - 51, 2*b - 35 = 2*i + 79. Calculate the smallest common multiple of 60 and b.
660
Let z = 14533/90 + -1450/9. What is the common denominator of (-593)/(-30) + (-12)/(-30) and z?
30
Let g(r) be the first derivative of r**3/3 + 15*r**2 - 43*r + 124. Calculate the lowest common multiple of 30 and g(-34).
930
Let k(p) = -p**2 - 2*p - 14. Let u be k(-8). Suppose 0*g + 36 = 2*g - 3*h, 0 = 3*g - h - 40. Find the common denominator of -68/9 and 24/(-108) + u/g.
18
Let h = -3522905 + 28135371/8. Let l = 5976 + h. Let i = 2/17 - 83/272. Find the common denominator of l and i.
16
Let g = -5477 + 5497. Calculate the lowest common multiple of 1888 and g.
9440
Suppose 21*c = 14*c + 14. What is the lowest common multiple of 7 and (3 - 0)*((-4)/c - -5)?
63
Let d = 6784753/126 + -53848. Let n = -8551/10703 + 51/1946. Find the common denominator of n and d.
1386
Let n = -5878967/60 + 97985. Find the common denominator of ((-1768)/5100)/(1*12/(-5))*(8 + -1) and n.
180
Let a(r) = 2*r**3 + r**2 + 112. Let i be a(0). Calculate the least common multiple of (10 + 1)/(14/i) and 22.
88
Suppose -5*r + 8 = -3*r. Calculate the lowest common multiple of -11 - ((-15)/((-255)/136) + -65) and r.
92
Suppose 31*g - 43785 = -108*g. Calculate the smallest common multiple of g and 665.
5985
Let p = 19 - -5. Calculate the lowest common multiple of p and (3570/(-15))/(-14) + (-4)/(-4).
72
Let a(b) = -b**2 + 16*b - 18. Let g be a(14). Suppose -h - y = -26, 5*y - g = -30. What is the smallest common multiple of h and 3?
30
Let v be 63172 - (-6)/18*-24. Let r = 7958621/126 - v. Calculate the common denominator of 9/70 and r.
630
Let u(s) = -6 - 3*s**2 + 9 - s + 7 + 4*s**2. Suppose j + c + c - 7 = 0, -2*j = 5*c - 14. Calculate the least common multiple of j and u(0).
70
Suppose 0 = 2*x - 6*x + 20. Let c = 3 + 8. Suppose c*b - x*b = 156. What is the least common multiple of b and 3?
78
What is the common denominator of -103/92 and 19838/(-2080) - -1*8?
1840
Suppose 842*p - 840*p + 4 = 0, 4*p = 2*f - 74. What is the smallest common multiple of f and 781?
2343
Suppose 2*c + 3*a + 2 - 81 = 0, -229 = -5*c + 3*a. Suppose -5*u = -c - 66. What is the least common multiple of u and 78?
858
Let r = 157049/42 + -3739. Calculate the common denominator of r and 19/194.
4074
Let b be -17464 - (-8)/2 - (-3 + 3). Let a = b - -418981/24. What is the common denominator of a and 648/(-8)*(0 - 3/30)?
120
What is the common denominator of 71/748 and (-1)/119*(36 - (-520)/(-32))?
5236
Find the common denominator of 103/276 and (806/4960)/((-96)/(-50) + -2).
2208
What is the common denominator of 139/2082 and (-1626)/234 - (2 - 49/7)?
27066
Let j = -22853453/4995 - -65432/555. Let z = 4458 + j. Calculate the common denominator of z and -26/3.
27
Let u = 12202 + -11754. What is the least common multiple of 1344 and u?
1344
Let b = -83263/486496 - 1/21152. What is the common denominator of -9/148 and b?
13616
Suppose -3*s + 134 = -w + 97, 4*s - 2*w = 46. Calculate the common denominator of s and -52/35.
35
Let x = 28425/8 - 3562. What is the common denominator of x and -43/318?
1272
Let z be -5 + 212/32 - (-3)/8. Calculate the lowest common multiple of 6 + z - 9 - -9 and 52.
104
Let q = 53 - 42. Let b be (-180)/12*3/(-1). Let c = b + -42. Calculate the lowest common multiple of q and c.
33
Let k = 246 - 65. Suppose -2*h + 4*a = h - k, 2*h - 123 = 5*a. Let y = 73 - h. What is the least common multiple of 20 and y?
140
Let s be 2*3/12*-105082. Let n = s - -2206597/42. Calculate the common denominator of n and 34/63.
126
Calculate the lowest common multiple of 1380 and 11316/205*(320/(-12))/(-4).
5520
Suppose 0 = 5*k - 2*m - 1882, 72 - 442 = -k + 2*m. What is the least common multiple of 432 and k?
3024
Let g(a) = 3*a + 20. Calculate the least common multiple of -483*7/(-84) - 2/8 and g(16).
680
Let s(i) = 17*i + 877. What is the least common multiple of 225 and s(-41)?
900
Let c = -19/89 + 8213/534. Calculate the common denominator of c and 51/20.
60
Suppose -4*s - 8536 = -2*o, -8541 = -2*o + 4*s - s. Suppose -o = -36*x + 474. What is the least common multiple of 28 and x?
924
Suppose -23958 - 2538 = -52*n + 29*n. What is the smallest common multiple of n and 1152?
1152
Let w = -15987 - -16764. What is the smallest common multiple of w and 222?
1554
Let o = 49 + -45. Let c be 4 + o + 3 + -7. What is the common denominator of 101/44 and (-461)/70 - 4*c/80?
308
Suppose -102 = s - 133. Suppose -4*h = r - 73, -3*h + h = -5*r - s. What is the least common multiple of 15 and h?
90
Suppose 57*c - 97*c - 4419 = -11699. What is the smallest common multiple of 52 and c?
364
Let l be 4 - (-2211)/(-6) - (-10)/4. Calculate the common denominator of 2/(-5)*5/(-9) and (-8)/(-960)*-2*l.
90
Let y = 97/20 - -17/5. Suppose 16 = m + 4*i, -5*i + 19 = -6. Find the common denominator of y and m - (-2)/(-48)*(2 - 5).
8
Suppose -a - 3*f = 10152, -4*a + 6*f = 7*f + 40608. Let h = 142055/14 + a. Calculate the common denominator of h and 81/22.
154
Suppose -m - 1986 = -c, -88*c + 5*m - 8025 = -92*c. What is the smallest common multiple of c and 798?
3990
Suppose -3115 = 3*m + u, -23*u + 20*u = -2*m - 2095. What is the common denominator of 4537/m - -3*1 and -149/30?
240
Calculate the common denominator of 1142/319 - (-3696)/(-1056) and -17/348.
3828
Let d = 41 - 41. Let r be -1 - 123/(d - -3). Let t = r + 44. Calculate the smallest common multiple of t and 54.
54
Calculate the common denominator of -7 - (27/(-45) - (-392)/20) and -6/155.
155
Suppose 25 = -5*w - 4*m, 0 = 5*w + 5*m + 18 + 7. Suppose 134 = 7*a - 34. Calculate the common denominator of 29/4 and a/140 + 3/w.
28
Suppose -8547279 = t - 5*t - 5*j, 4*j = 2*t - 4273620. Let h be (-645292)/t + 6/(-27). Let y = h + 2/1349. What is the common denominator of -41/18 and y?
396
Let u = 324 - 284. What is the common denominator of 25/27 and (61/(-2))/(60/u)?
27
Suppose 0 = -8*a + 6*a - 4. What is the common denominator of -31/12 and (a/(-40))/(22/(-1364))?
60
Let a(g) = 6*g**2 - 55*g - 51. Let u be a(21). Suppose -18*q - 12*q = -u. What is the lowest common multiple of q and 42?
336
Suppose -154820 = -69*b + 32083 - 37863. What is the lowest common multiple of b and 24?
2160
Suppose 20 - 9 = -d + 3*r, -d = r - 25. Find the common denominator of d and 49/10 - 2/(-2).
10
Calculate the least co | {
"pile_set_name": "DM Mathematics"
} |
-h**2 - 3*h - 2. Determine v*s(o) - 6*p(o).
o**2 - 2*o + 2
Let x(g) = 2*g - 28. Let p(u) = u + 2. Determine -5*p(i) + x(i).
-3*i - 38
Let c(u) = -6*u + 8. Suppose 2690 = -10*a + 15*a. Let q(t) = 539 - t + 0*t - a. Determine -c(l) + 8*q(l).
-2*l
Suppose 4*c - 5*t + 14 = 0, -5*c - 3 = -8*c - 3*t. Let m(d) = 9*d - 54. Let x(i) = -1. Calculate c*m(j) + 54*x(j).
-9*j
Let z(o) = 3*o**2 - 6*o + 7. Let y(c) = -6*c**2 + 9*c - 13. Calculate -3*y(j) - 5*z(j).
3*j**2 + 3*j + 4
Let v(k) = -2. Let h(g) = -39*g + 4. Determine -h(r) - 4*v(r).
39*r + 4
Suppose -11 = -10*k - 61. Let w(f) = -4*f**2 + 3*f - 3. Let r(t) = t**3 + 7*t**2 - 5*t + 5. Give k*w(a) - 3*r(a).
-3*a**3 - a**2
Let b(j) = 1096*j**3 + 12*j**2 + 12*j + 6. Let i(t) = -497585*t**3 - 5450*t**2 - 5450*t - 2725. Calculate -2725*b(x) - 6*i(x).
-1090*x**3
Let d(o) = -20*o - 497. Let b be d(-25). Let n(q) = -10*q + 16. Let c(w) = -2*w + 3. Let x(y) = 16*c(y) - 3*n(y). Let t(z) = -z. Determine b*t(s) - x(s).
-s
Let b(p) = -3*p**3 + 6*p**2 + 12*p + 98. Let q(m) = 3*m**3 - 7*m**2 - 14*m - 97. What is 7*b(n) + 6*q(n)?
-3*n**3 + 104
Let g(d) = 5*d + 13. Let s(r) = -r - 1. Calculate -g(w) - 2*s(w).
-3*w - 11
Let c(d) = -2*d**3 - 77*d**2 + 2*d + 2. Let h(k) = -k**2 + k + 1. Determine -c(s) + 2*h(s).
2*s**3 + 75*s**2
Let b be 32/(-28) - (-4)/28. Let x(r) = -5*r - 1. Let z be x(b). Let o(i) = -i. Let w(p) = 2*p**2 - 4*p. Give z*o(u) - w(u).
-2*u**2
Let b(r) = 9*r + 8. Let p be (2 - 36/20)/(6/(-30)). Let i(j) = -j - 1. Calculate p*b(t) - 6*i(t).
-3*t - 2
Let s(g) = -g - 3. Suppose -10 = -2*f + 2*o - 4*o, 5*o = -20. Let v(z) = -2*z. Let t be v(-1). Let c(k) = -3 - 2 - 2*k - t. Determine f*s(w) - 4*c(w).
-w + 1
Let u(g) be the third derivative of 0 + 0*g - 1/60*g**5 - 1/4*g**4 + 17*g**2 + 1/3*g**3. Let j(b) = -b + 1. What is -4*j(r) + u(r)?
-r**2 - 2*r - 2
Let j be 2 - (-2 + (-7 - -5)). Let v(y) = 4*y + 2. Let c(n) = 9*n + 5. Give j*c(z) - 13*v(z).
2*z + 4
Let h(o) = 55*o**3 - 13. Let q(j) = -2. Give -h(d) + 2*q(d).
-55*d**3 + 9
Let k(d) = d**3 - 2*d**2 + d. Let h(p) = -p**3 + p**2 - 1. Suppose 0 = -36*z - 30 - 42. Give z*h(n) - k(n).
n**3 - n + 2
Let g(u) be the third derivative of -u**4/8 + u**3/3 + 6*u**2. Let a(i) = 2 - 9 - 2*i - 1 + 10. Calculate 5*a(r) - 4*g(r).
2*r + 2
Let n(c) = -17*c**2 + 160*c + 8. Let s(t) = -6*t**2 + 54*t + 3. Determine 3*n(h) - 8*s(h).
-3*h**2 + 48*h
Let f(v) = -2*v + 7. Let i(q) = -q + 3. Let s be ((-4)/5)/((-189)/(-35) + -5). Let j(r) = s*f(r) + 5*i(r). Let d(n) = n - 2. Determine d(p) + 3*j(p).
-2*p + 1
Let f(u) = 12*u**2 - 3*u. Let x(k) = -13*k**2 + 2*k. Let b be (56/16 - 4)*-6. Determine b*x(c) + 2*f(c).
-15*c**2
Let u(c) = -2*c - 5. Let g(a) = -3*a - 6. Let v be (1/5)/((-18)/(-270)). Calculate v*g(h) - 4*u(h).
-h + 2
Let d(c) = 12*c**2 - 17*c + 2. Let p(o) = -50*o**2 + 69*o - 9. Give 9*d(h) + 2*p(h).
8*h**2 - 15*h
Let p(v) = 2*v**3 - 3*v**2 - 3*v - 3. Suppose 0 = f - 4*t - 15, 4*f + t + 4 = 13. Let z(i) = -4*i**3 + 6*i**2 + 7*i + 6. Calculate f*z(m) + 7*p(m).
2*m**3 - 3*m**2 - 3
Let o = 549 - 543. Let r(l) = -6*l**2 + 6*l. Let z(g) = g**3 + 17*g**2 - 17*g. What is o*z(m) + 17*r(m)?
6*m**3
Let q be ((-72)/16)/(-9)*24/(-4). Let x(c) = -c**3 - 4*c**2 + 3*c + 3. Let b(l) = l**3 + 3*l**2 - 2*l - 3. Calculate q*b(h) - 2*x(h).
-h**3 - h**2 + 3
Let n(m) = -2*m**3 + 4*m**2 + 1. Let d(s) = 2*s**3 - 5*s**2 - 1. Suppose 44*q - 59*q = 90. What is q*n(h) - 5*d(h)?
2*h**3 + h**2 - 1
Let j(s) = -3*s**2 - s - 1. Let l(i) = -11*i**2 - 4*i - 4. Let z(c) = -4*j(c) + l(c). Let f(r) = -5*r. Give f(d) - 2*z(d).
-2*d**2 - 5*d
Let p(i) = 15720*i**2 + 65*i + 130. Let o(r) = 1429*r**2 + 6*r + 12. Give 65*o(h) - 6*p(h).
-1435*h**2
Let c(y) = -9*y - 105. Let t(r) = -20*r - 211. Give 9*c(j) - 4*t(j).
-j - 101
Let h(w) = -12*w - 10. Let a(o) = -34*o - 30. Determine 5*a(j) - 14*h(j).
-2*j - 10
Let q(w) = 10*w**2 + 239*w. Let i(z) = -2*z**2 - 2*z. Calculate 6*i(l) + q(l).
-2*l**2 + 227*l
Let j(c) be the first derivative of 2*c**2 + 9*c + 3. Let y = 57 + -57. Suppose -10*f + 7*f - 18 = y. Let n(r) = -r - 1. Determine f*n(s) - j(s).
2*s - 3
Let c(v) = -6*v**3 - 5*v**2 - 10*v + 7. Let r(q) = -q**3 - q**2 + 1. Determine -c(l) + 5*r(l).
l**3 + 10*l - 2
Let d(z) be the second derivative of 0*z**3 - 3/2*z**2 - 1/3*z**4 + 0 + 1/10*z**5 - 12*z. Let r(k) = 2*k**3 - 5*k**2 - 3. Calculate -5*d(y) + 4*r(y).
-2*y**3 + 3
Suppose -5*b + b = -12. Let r(z) = -5*z**b - z + 10*z - 3*z - 4*z. Let l(p) = -21*p**3 + 9*p - 1. What is -2*l(j) + 9*r(j)?
-3*j**3 + 2
Let t(n) be the second derivative of n**5/20 + 7*n**4/12 + n**3 - 3*n**2/2 + n. Let b(v) = v**2 + v - 1. Calculate -6*b(r) + t(r).
r**3 + r**2 + 3
Let j(i) = i**3 - i**2 + i - 1. Let v = -9 + -42. Let o = 50 + v. Let p(n) = -2*n**3 + 6*n**2 - 6*n + 5. What is o*p(l) - 6*j(l)?
-4*l**3 + 1
Let k(q) = -1143*q**2 + 5 + 1137*q**2 + q - 7. Let t(b) = 6*b**2 + 1. Determine -2*k(m) - 3*t(m).
-6*m**2 - 2*m + 1
Let m = 1 - -4. Let v = 29 + -40. Let w(g) = g**2 - 6*g. Let q(c) = 6*c**2 - 31*c. Let i(s) = v*w(s) + 2*q(s). Let j(d) = 2*d**2 + 5*d. What is m*i(n) - 4*j(n)?
-3*n**2
Let j(c) = 10*c - 35. Let y(n) = n**2 - 6*n - 23. Let r be y(9). Let p(m) = m - 4. Determine r*j(x) - 35*p(x).
5*x
Let y(b) = -2*b**2 - 2*b - 86. Let h(z) = 5*z**2 + 4*z + 172. Give -3*h(j) - 7*y(j).
-j**2 + 2*j + 86
Let k(u) = u. Let d = -2 - -8. Let c(v) = -1 - 15470*v + 1 + 15469*v. Calculate d*k(w) + 5*c(w).
w
Let v(y) = y - 3*y + y. Let u(r) = 5*r**2 + 45*r - 5. Let w(j) = -j**2 - 17*j + 2. Let q(l) = -2*u(l) - 5*w(l). Calculate q(n) - 5*v(n).
-5*n**2
Let b(t) = -7*t**2 + 3*t + 5. Let y be ((-3)/(-1))/(3/5). Suppose -y*g = -13 + 3. Let h(s) = -7*s**2 + 4*s + 8*s**g - 11*s**2 + 7. What is 7*b(p) - 5*h(p)?
p**2 + p
Let h(j) = -3*j - 5. Let s be (8/14)/((-8)/(-28)). Suppose -4*f = 4*l, -2 = l + 2*f + s. Let c(z) = -2*z - 4. Calculate l*h(n) - 5*c(n).
-2*n
Suppose x - 2*x = -6. Let q(c) = -c. Let y(p) be the second derivative of 1/2*p**2 - 58*p + 0 - 2/3*p**3. Calculate x*q(h) - y(h).
-2*h - 1
Let w(s) = 1. Let d(u) = -9*u**2 + 2. Give -5*d(k) + 10*w(k).
45*k**2
Let y(r) = -4*r + 6. Let m(x) = 42 - 24 - 19. Calculate -8*m(t) - y(t).
4*t + 2
Suppose -n = -1 + 3. Let j(u) = -11*u + 1. Let l be j(2). Let c = 24 + l. Let b(o) = o**2 - 4*o. Let s(z) = 2*z**2 - 5*z. What is c*b(f) + n*s(f)?
-f**2 - 2*f
Let i(c) = 20. Let n(q) = -17. Let h(d) = 6*i(d) + 7*n(d). Let u(g) = -g + 2. Calculate -5*h(r) + u(r).
-r - 3
Let g(o) = 2*o**3 - o**2 - 6*o. Let z(m) = -m**3 + m**2 + 4*m. Suppose -53*t = -49*t + 20. What is t*g(q) - 7*z(q)?
-3*q**3 - 2*q**2 + 2*q
Let t(v) = -2*v**3 - 3*v**2 + 2*v - 1. Let a(h) = 8*h - 1 - 4*h + 3*h**3 - 5*h**2 - 7*h**3 - h. Let p = -27 + 24. What is p*a(k) + 5*t(k)?
2*k**3 + k - 2
Let b(f) = 10*f**3 + 17*f**2 + 15*f + 61. Let r(n) = 5*n**3 + 8*n**2 + 7*n + 30. Determine 6*b(d) - 13*r(d).
-5*d**3 - 2*d**2 - d - 24
Let p(u) = 3*u - 6. Let n(j) = -24*j - 534. Let o be n(-22). Let m(k) = 7*k - 11. Calculate o*m(i) + 11*p(i).
-9*i
Let d(x) = 2*x + 9. Let u be 16 - 4/6*-3. Let y = u - 13. Let s(g) = g + 4. What is y*s(h) - 2*d(h)?
h + 2
Let o(w) = -w**3 - w**2 + w. Let m(c) = 2*c - 3. What is -m(z) + 2*o(z)?
-2*z**3 - 2*z**2 + 3
Let n(k) = -6*k**2 - 10*k + 14. Let d(m) = m**2 + 2*m - 3. Suppose -4*a + a = -3*o - 36, 2*o + 2*a + 20 = 0. Give o*d(s) - 2*n(s).
s**2 - 2*s + 5
Let t = -9 + 42. Let z be -2 + 60/33 - 192/t. Let v(p) = -2*p**3 - 6*p**2 - 8*p - 6. Let d(u) = 4*u**3 + 13*u**2 + 17*u + 13. Calculate z*d(o) - 13*v(o).
2*o**3 + 2*o
Let x(j) = 0*j + 43 + 3*j - 3*j**2 - 39 - j. Let b(t) = -4*t**2 + 2*t + 5. Calculate 4*b(d) - 5*x(d).
-d**2 - 2*d
Let v(m) = 4*m**2 - 19*m + 5. Let n(h) = -h**2 - h - 1. Give 5*n(g) + v(g).
-g**2 - 24*g
Let h(c) = 9*c**2 - 2*c - 8. Let u(k) = -4*k - 66. Let d be u(-15). Let j(f) = 17*f**2 - 4*f - 15. What is d*j(q) + 11*h(q)?
-3*q**2 + 2*q + 2
Let g(n) = -n**2 + 2*n. Let i = -268 - -267. Let j(q) = q**2 - q. What is i*g(x) - 2*j(x)?
-x**2
Let h(r) = -1. Let d(j) = 6*j + 6. Let q = 59 + -60. Let b(p) = -p - 1. Let x(z) = q*d(z) - 5*b(z). Suppose -12 = -0*k - 4*k. Calculate k*h(v) - 2*x(v).
2*v - 1
Let i(w) = -4 + 0 - 2 - 4 - 12*w + 14. Let k(o) = 11*o - 3. Give -6*i(g) - 7*k(g).
-5*g - 3
Let x(v) = -7. Let i(p) = -39*p - 11. Let d(g) = 11*g + 3. Let b(o) = -7*d(o) - 2*i | {
"pile_set_name": "DM Mathematics"
} |
s the z'th term of 2762, 2775, 2804, 2855, 2934, 3047?
z**3 + 2*z**2 + 2759
What is the j'th term of -740, -600, -460, -320, -180, -40?
140*j - 880
What is the z'th term of -64731, -64737, -64745, -64755?
-z**2 - 3*z - 64727
What is the w'th term of -93493, -93482, -93471, -93460, -93449, -93438?
11*w - 93504
What is the s'th term of -107243, -214484, -321725, -428966, -536207?
-107241*s - 2
What is the k'th term of 390, 939, 1660, 2565, 3666, 4975?
2*k**3 + 74*k**2 + 313*k + 1
What is the j'th term of -34869, -34872, -34875, -34878?
-3*j - 34866
What is the l'th term of 4878, 9404, 13928, 18450, 22970, 27488?
-l**2 + 4529*l + 350
What is the y'th term of -910, -914, -930, -964, -1022, -1110, -1234?
-y**3 + 3*y - 912
What is the z'th term of 45, 195, 457, 831?
56*z**2 - 18*z + 7
What is the t'th term of 268, 288, 320, 364, 420, 488, 568?
6*t**2 + 2*t + 260
What is the r'th term of 2333, 4635, 6885, 9065, 11157?
-3*r**3 - 8*r**2 + 2347*r - 3
What is the t'th term of 686, 1366, 2046, 2726, 3406, 4086?
680*t + 6
What is the b'th term of -7102, -14166, -21230, -28294?
-7064*b - 38
What is the f'th term of 85, 41, -15, -83?
-6*f**2 - 26*f + 117
What is the b'th term of 1545, 6358, 14381, 25614, 40057, 57710, 78573?
1605*b**2 - 2*b - 58
What is the r'th term of -151, -343, -535, -727, -919?
-192*r + 41
What is the v'th term of 282, 672, 1172, 1776, 2478, 3272?
-v**3 + 61*v**2 + 214*v + 8
What is the f'th term of -52426, -52419, -52408, -52393?
2*f**2 + f - 52429
What is the q'th term of 67128, 67010, 66892, 66774, 66656, 66538?
-118*q + 67246
What is the p'th term of 448, 681, 914, 1147, 1380, 1613?
233*p + 215
What is the p'th term of -3085, -3090, -3097, -3106, -3117?
-p**2 - 2*p - 3082
What is the i'th term of 670, 741, 832, 937, 1050, 1165, 1276, 1377?
-i**3 + 16*i**2 + 30*i + 625
What is the l'th term of 4509, 17998, 40477, 71946, 112405, 161854?
4495*l**2 + 4*l + 10
What is the p'th term of 1547459, 1547453, 1547447, 1547441, 1547435, 1547429?
-6*p + 1547465
What is the n'th term of -6481, -12973, -19465, -25957, -32449, -38941?
-6492*n + 11
What is the r'th term of 2789, 2785, 2781?
-4*r + 2793
What is the n'th term of -1759, -1732, -1709, -1690, -1675, -1664?
-2*n**2 + 33*n - 1790
What is the b'th term of -50, -205, -464, -827?
-52*b**2 + b + 1
What is the p'th term of -342, -2545, -6216, -11355, -17962, -26037, -35580?
-734*p**2 - p + 393
What is the h'th term of -627, -578, -505, -396, -239?
2*h**3 + 35*h - 664
What is the w'th term of -123, -268, -437, -642, -895, -1208?
-2*w**3 - 131*w + 10
What is the z'th term of 2504, 5163, 7852, 10583, 13368, 16219, 19148, 22167?
2*z**3 + 3*z**2 + 2636*z - 137
What is the h'th term of 69, 216, 457, 792?
47*h**2 + 6*h + 16
What is the h'th term of -3885, -3878, -3867, -3852, -3833, -3810, -3783?
2*h**2 + h - 3888
What is the m'th term of -42503, -42498, -42493, -42488, -42483?
5*m - 42508
What is the o'th term of -37241, -37234, -37227?
7*o - 37248
What is the p'th term of -15581, -62327, -140237, -249311, -389549?
-15582*p**2 + 1
What is the i'th term of 504, 2039, 4598, 8181, 12788?
512*i**2 - i - 7
What is the w'th term of 449, 1857, 4227, 7577, 11925, 17289, 23687, 31137?
3*w**3 + 463*w**2 - 2*w - 15
What is the t'th term of -4, -41, -168, -439, -908, -1629, -2656, -4043?
-9*t**3 + 9*t**2 - t - 3
What is the w'th term of 264, 2521, 8938, 21687, 42940?
362*w**3 - 92*w**2 - w - 5
What is the j'th term of -30, -151, -374, -705, -1150?
-j**3 - 45*j**2 + 21*j - 5
What is the g'th term of 816, 1457, 1740, 1485, 512, -1359?
-30*g**3 + g**2 + 848*g - 3
What is the r'th term of 22, 216, 542, 1000, 1590?
66*r**2 - 4*r - 40
What is the h'th term of 1237, 900, 573, 262, -27, -288, -515, -702?
h**3 - h**2 - 341*h + 1578
What is the v'th term of -580, -1236, -1892, -2548, -3204, -3860?
-656*v + 76
What is the f'th term of -2346, -2334, -2322, -2310?
12*f - 2358
What is the w'th term of 30010, 60018, 90030, 120046, 150066?
2*w**2 + 30002*w + 6
What is the c'th term of 21, 87, 269, 627, 1221?
10*c**3 - 2*c**2 + 2*c + 11
What is the b'th term of 32957, 65915, 98873, 131831, 164789?
32958*b - 1
What is the g'th term of 263231, 526465, 789699, 1052933, 1316167?
263234*g - 3
What is the z'th term of 330, 1070, 1800, 2514, 3206, 3870, 4500, 5090?
-z**3 + z**2 + 744*z - 414
What is the p'th term of -82886, -82892, -82898?
-6*p - 82880
What is the k'th term of 6, 327, 1202, 2907, 5718, 9911, 15762?
46*k**3 + k**2 - 4*k - 37
What is the a'th term of 19752, 19746, 19738, 19728, 19716?
-a**2 - 3*a + 19756
What is the o'th term of 425, 1581, 3473, 6101, 9465?
368*o**2 + 52*o + 5
What is the v'th term of -1866, -1821, -1790, -1779, -1794, -1841, -1926?
-v**3 - v**2 + 55*v - 1919
What is the k'th term of -95, -104, -127, -170, -239?
-k**3 - k**2 + k - 94
What is the g'th term of 383, 668, 955, 1244, 1535, 1828?
g**2 + 282*g + 100
What is the l'th term of 17125, 17129, 17133, 17137, 17141, 17145?
4*l + 17121
What is the g'th term of -67267, -269070, -605409, -1076284, -1681695, -2421642?
-67268*g**2 + g
What is the h'th term of -1439, -1447, -1455, -1457, -1447, -1419?
h**3 - 6*h**2 + 3*h - 1437
What is the t'th term of -220, -323, -498, -745, -1064, -1455, -1918?
-36*t**2 + 5*t - 189
What is the m'th term of -1176, -1064, -948, -828, -704, -576?
2*m**2 + 106*m - 1284
What is the i'th term of 1151, 1161, 1171, 1181, 1191?
10*i + 1141
What is the x'th term of -5, 42, 151, 322?
31*x**2 - 46*x + 10
What is the g'th term of 6964, 13927, 20890?
6963*g + 1
What is the m'th term of 1118, 2155, 3192, 4229, 5266?
1037*m + 81
What is the g'th term of 383, 792, 1213, 1646, 2091?
6*g**2 + 391*g - 14
What is the m'th term of -122, -519, -1180, -2105, -3294, -4747?
-132*m**2 - m + 11
What is the r'th term of -72, -329, -984, -2235, -4280?
-33*r**3 - r**2 - 23*r - 15
What is the m'th term of 331, 608, 889, 1174?
2*m**2 + 271*m + 58
What is the x'th term of 887, 936, 1079, 1364, 1839, 2552?
8*x**3 - x**2 - 4*x + 884
What is the c'th term of -107, -179, -285, -425?
-17*c**2 - 21*c - 69
What is the l'th term of -27, -26, -41, -114, -287, -602?
-7*l**3 + 34*l**2 - 52*l - 2
What is the k'th term of 9232, 9202, 9172, 9142?
-30*k + 9262
What is the l'th term of 920, 1840, 2756, 3668, 4576, 5480, 6380?
-2*l**2 + 926*l - 4
What is the c'th term of -84814, -169627, -254442, -339259?
-c**2 - 84810*c - 3
What is the n'th term of -180340, -721328, -1622984, -2885314, -4508324, -6492020?
-n**3 - 180328*n**2 + 3*n - 14
What is the k'th term of -18317, -18332, -18347, -18362, -18377?
-15*k - 18302
What is the b'th term of -56, -156, -292, -464?
-18*b**2 - 46*b + 8
What is the u'th term of -7472, -7479, -7488, -7499, -7512, -7527?
-u**2 - 4*u - 7467
What is the w'th term of 428, 90, -478, -1276?
-115*w**2 + 7*w + 536
What is the s'th term of 275, 555, 837, 1121?
s**2 + 277*s - 3
What is the a'th term of 51680, 51681, 51682?
a + 51679
What is the u'th term of 13958, 27923, 41888?
13965*u - 7
What is the v'th term of 1547, 6154, 13819, 24536, 38299?
-v**3 + 1535*v**2 + 9*v + 4
What is the v'th term of 17028, 34092, 51156?
17064*v - 36
What is the c'th term of 22708, 45418, 68130, 90844, 113560, 136278?
c**2 + 22707*c
What is the h'th term of -173, -102, -31, 40?
71*h - 244
What is the a'th term of -15, -100, -265, -510, -835, -1240, -1725?
-40*a**2 + 35*a - 10
What is the i'th term of 317, 391, 515, 689, 913, 1187, 1511?
25*i**2 - i + 293
What is the h'th term of 403, 209, 3, -221, -469, -747, -1061?
-h**3 - 187*h + 591
What is the i'th term of 141, 224, 459, 924, 1697?
13*i**3 - 2*i**2 - 2*i + 132
What is the x'th term of -286976, -573960, -860944, -1147928?
-286984*x + 8
What is the u'th term of 27, 109, 327, 753, 1459, 2517, 3999?
12*u**3 - 4*u**2 + 10*u + 9
What is the l'th term of -2968, -5213, -7458?
-2245*l - 723
What is the s'th term of -1085151, -1085155, -1085163, -1085175, -1085191, -1085211, -1085235?
-2*s**2 + 2*s - 1085151
What is the y'th term of -6478, -6484, -6490, -6496?
-6*y - 6472
What is the m'th term of 225, 813, 1787, 3141, 4869, 6965?
-m**3 + 199*m**2 - 2*m + 29
What is the h'th term of 252, 450, 578, 618, 552, 362?
-3*h**3 - 17*h**2 + 270*h + 2
What is the k'th term of 1748, 3481, 5222, 6971, 8728, 10493, 12266?
4*k**2 + 1721*k + | {
"pile_set_name": "DM Mathematics"
} |
rms in -5*c - 15*c + 4*c - c + 35*c.
18*c
Collect the terms in -34 + 50*k - 94*k - 10 + 1 + 43*k - 24.
-k - 67
Collect the terms in 12155*m**2 + 12161*m**2 - 24297*m**2.
19*m**2
Collect the terms in -205*b**3 + 3*b**2 + 367*b**3 + 249*b**3 - 3*b**2 + b.
411*b**3 + b
Collect the terms in -17*a + 73*a + 1117*a**3 - 56*a - 1098*a**3.
19*a**3
Collect the terms in -11*u - 5*u - 4*u - 12*u + 29*u.
-3*u
Collect the terms in -42*n + 80*n - 45*n.
-7*n
Collect the terms in -569 - 589 - 3*x + 1158.
-3*x
Collect the terms in 4*c - 6*c + 29*c**2 + c + 27*c**2.
56*c**2 - c
Collect the terms in 3777*m + 1 + 3723*m - 1 - 7494*m.
6*m
Collect the terms in -34*s**3 - 11*s**3 + 14 + 43*s**3.
-2*s**3 + 14
Collect the terms in -10 + 27*c**2 + 15 - 17 + 12.
27*c**2
Collect the terms in 50*w**3 + 667*w + 953*w - 52*w**3 + 564*w.
-2*w**3 + 2184*w
Collect the terms in 1251*q - 2499*q - 39*q**3 + 36*q**3 + 1248*q.
-3*q**3
Collect the terms in -135*d**2 - 45*d**2 - 234*d**2.
-414*d**2
Collect the terms in 45799237*z + 18 - 45799238*z - 18.
-z
Collect the terms in 743*q**2 - 1454 + 1454.
743*q**2
Collect the terms in -394*j**2 - 192*j**2 - 223*j**2.
-809*j**2
Collect the terms in -36*u**3 - 25*u**3 + 160*u**3.
99*u**3
Collect the terms in -7 - 2 + 3 - 4208*g.
-4208*g - 6
Collect the terms in 74*q**3 + 5482*q - 5482*q.
74*q**3
Collect the terms in -585*w**3 - 357*w**3 - 10*w**2 + 10*w**2.
-942*w**3
Collect the terms in g**3 + 3*g**3 + 15*g**3 - 10*g**3.
9*g**3
Collect the terms in -7*c**2 - 56*c**2 - 6 - 17*c**2 + 4.
-80*c**2 - 2
Collect the terms in 344 - 98*y**2 - 344 + 433*y**2.
335*y**2
Collect the terms in 11*n**3 - 64*n + 77*n - 3*n**3 + 6*n**3.
14*n**3 + 13*n
Collect the terms in -2892*i + 906*i + 999*i + 984*i.
-3*i
Collect the terms in c**2 - 2*c**2 + 4*c**2 - 140*c - c**2 + 154*c.
2*c**2 + 14*c
Collect the terms in -4*n**3 - 16449309*n + 16449309*n + 5.
-4*n**3 + 5
Collect the terms in -2*x**2 - 46089 - 46081 + 92170.
-2*x**2
Collect the terms in 888*v**2 - v + 934*v**2 + 869*v**2 - 2603*v**2.
88*v**2 - v
Collect the terms in 0 + 6 + 3 + 2 - 18 - 16*q**2.
-16*q**2 - 7
Collect the terms in -3*u**3 + 8529*u - 8529*u.
-3*u**3
Collect the terms in -9993*i**3 - 9668*i**3 + 19657*i**3.
-4*i**3
Collect the terms in -54 + 29 - 198*m + 25.
-198*m
Collect the terms in 19 + 18 - 6*l + 16 - 62.
-6*l - 9
Collect the terms in 8*n - 30*n - 36*n - 43*n - 9*n.
-110*n
Collect the terms in -94*z - 4 + 4 - 105*z + 52*z - z**2.
-z**2 - 147*z
Collect the terms in 14061970*c**3 + 2 - 14061972*c**3 - 2.
-2*c**3
Collect the terms in -1900*c**3 + 785*c**3 + 1114*c**3.
-c**3
Collect the terms in -16 + 248*i**3 - 503*i**3 + 224*i**3.
-31*i**3 - 16
Collect the terms in 0 - 349*f**3 + 0 + 171*f**3 + 182*f**3.
4*f**3
Collect the terms in -5388*q**3 - 5319*q**3 + 16028*q**3 - 5319*q**3.
2*q**3
Collect the terms in -65 + 15 - 363*w**3 + 26 + 24 + 358*w**3.
-5*w**3
Collect the terms in -847*k + 1626*k - 780*k + 3 - 3.
-k
Collect the terms in -52 + 111 - 42 + 24*q.
24*q + 17
Collect the terms in -1334*w + 1784*w - 440*w.
10*w
Collect the terms in -4 + 51*p**3 - 14*p**3 - 19*p**3 - 7 - 20*p**3.
-2*p**3 - 11
Collect the terms in 39 - 226 + 46 - x + 57 + 55.
-x - 29
Collect the terms in 12 - 118*z**3 + 10 - z + 1 - 23.
-118*z**3 - z
Collect the terms in -166 + 7*k**3 - 171 + 500 - 163.
7*k**3
Collect the terms in 714 + 750 + 5*w - 2220 + 756.
5*w
Collect the terms in 5830*r**2 - 3*r + 3*r + 5833*r**2 - 11670*r**2.
-7*r**2
Collect the terms in 249*g**3 + 1040*g**3 - g**3 + 62*g**3.
1350*g**3
Collect the terms in 3277*g**2 - 2370*g**2 + 8009*g**2.
8916*g**2
Collect the terms in 160*l**2 + 7*l**3 + 10*l**3 - 32*l**3 - 160*l**2.
-15*l**3
Collect the terms in -6 + 0 - 4*o + 4 + 13 + 6*o.
2*o + 11
Collect the terms in -5473*p**2 + 4895*p**2 - 11573*p**2.
-12151*p**2
Collect the terms in 8*r - 8*r + 0*r + 2252*r**2.
2252*r**2
Collect the terms in 9*x - 77156*x**2 - 1 + 1 + 154306*x**2 - 77155*x**2.
-5*x**2 + 9*x
Collect the terms in -54 + 135*x**2 + 54 - 151*x**2.
-16*x**2
Collect the terms in 2 + 131*z - 62*z - 68*z + 0.
z + 2
Collect the terms in 85*z**3 - 228017*z**2 - 2*z + 228017*z**2.
85*z**3 - 2*z
Collect the terms in -877*z - 15785 + 15785.
-877*z
Collect the terms in 6 + 94*w - 2 + 41*w - 4.
135*w
Collect the terms in 83 + c - 8*c**2 - c - 6*c + 5*c.
-8*c**2 - c + 83
Collect the terms in -80*m**2 - 4*m**2 + 5*m + 73*m**2 - 5*m.
-11*m**2
Collect the terms in 180 + 0*q**2 - 184 + q**2.
q**2 - 4
Collect the terms in 74*v**3 - 689*v**3 - 2*v - 1 + 1285*v**3.
670*v**3 - 2*v - 1
Collect the terms in -1649*t + 257*t**2 + 1649*t.
257*t**2
Collect the terms in 552 + 180 - 732 + 3*q.
3*q
Collect the terms in 120*o - 1441*o**3 - 61*o - 59*o.
-1441*o**3
Collect the terms in -3*u - 3 + 1478*u**2 + 0 + 5.
1478*u**2 - 3*u + 2
Collect the terms in 34*y**2 + 15 - 21 - 12*y**2 + 6.
22*y**2
Collect the terms in 5792*c**3 + 5791*c**3 - 11581*c**3.
2*c**3
Collect the terms in 7033*b**2 + 19 - 4 - 7040*b**2 - 15.
-7*b**2
Collect the terms in -387*q + 11*q**2 + 151*q + 236*q.
11*q**2
Collect the terms in -9*l - 5*l - l + 12*l - 21 + 0*l.
-3*l - 21
Collect the terms in 3 - 3 + 3*w**2 - 1.
3*w**2 - 1
Collect the terms in -12*i + 48*i - 25*i - 10*i + 0*i.
i
Collect the terms in -2743 + 1424 + 100*a**2 + 1319.
100*a**2
Collect the terms in 582*p**3 - 1166*p**3 + 604*p**3.
20*p**3
Collect the terms in -90*q**2 + 174*q**2 - 75*q**2.
9*q**2
Collect the terms in 761 - 2261 + 754 + 17*v**3 + 752 - 8*v**3.
9*v**3 + 6
Collect the terms in -2105*d**3 - 2125*d**3 + 6336*d**3 - 2105*d**3.
d**3
Collect the terms in -286*c - 1 - 1117*c + 1 + 31*c.
-1372*c
Collect the terms in 37*s - 37*s - 2*s**3 + 39*s**2 - 153*s**2.
-2*s**3 - 114*s**2
Collect the terms in -32 - 4781*z - 40 + 70.
-4781*z - 2
Collect the terms in 216*w - 80*w**2 - 38*w - 178*w.
-80*w**2
Collect the terms in -5*d**3 + 25*d**3 + 2*d**2 - 2*d**2 - 14*d**3 - 2*d**3.
4*d**3
Collect the terms in 147*t**3 - 15*t**2 + t**2 + 9*t**2 + 5*t**2.
147*t**3
Collect the terms in -4846*y**2 + 4203*y**2 - 4085*y**2 + 62427*y**2.
57699*y**2
Collect the terms in -5*u**2 - 11*u + 6*u + 5*u + 1936.
-5*u**2 + 1936
Collect the terms in 10*h**2 - 54*h**2 - 25*h**2 - 67*h**3 + 322*h**3.
255*h**3 - 69*h**2
Collect the terms in o - 2*o - 34*o**2 - 3*o - 149*o**3 - 8*o**2.
-149*o**3 - 42*o**2 - 4*o
Collect the terms in 328 + 52*r + 257 - 585.
52*r
Collect the terms in -88034*o + 6 - 6.
-88034*o
Collect the terms in -10*u**3 - 1 - 23*u - 12*u - 3*u**3 + 6*u**3.
-7*u**3 - 35*u - 1
Collect the terms in 18*s + 34*s + 28*s - 117*s + 27*s + 25*s.
15*s
Collect the terms in -142*i**2 - 138*i**2 + 548*i**2 - 137*i**2 - 155*i**2.
-24*i**2
Collect the terms in -8096*a - 2 + 1 + 8051*a.
-45*a - 1
Collect the terms in 270*c - 13*c**3 + 275*c - 548*c.
-13*c**3 - 3*c
Collect the terms in 635 + t**2 + 640 - 1275.
t**2
Collect the terms in 8851*c**3 + 8781*c**3 - 17640*c**3.
-8*c**3
Collect the terms in -2000*t**3 + 6088*t**3 - 2090*t**3 - 2000*t**3.
-2*t**3
Collect the terms in -308*m + 647*m - 339*m - 3 - m**3 + 10.
-m**3 + 7
Collect the terms in -9281*s + 4629*s + 4632*s.
-20*s
Collect the terms in -19*s**2 + 6*s - 9*s**2 - 8*s + 2*s.
-28*s**2
Collect the terms in -26175*h**2 + 0*h + 0*h - 26176*h**2 + 52342*h**2.
-9*h**2
Collect the terms in -45437*a**3 + 45438*a**3 - 146 + 146.
a**3
Collect the terms in 2*u + 9740*u**2 + 1 - 1 + 0.
9740*u**2 + 2*u
Collect the terms in -p**3 + 70*p**2 - 184 + 3*p**3 - 128*p**2 + 184.
2*p**3 - 58*p**2
Collect the terms in -4798*a + 5*a**3 + 2245*a + 2553*a - 3*a**3.
2*a**3
Collect the terms in -186*a**3 - 188*a**3 + 373*a**3 + 39*a - 5*a.
-a**3 + 34*a
Collect the terms in 55*k - k**3 + 64*k - 255*k + 70*k + 66*k.
-k**3
Collect the terms in -875 - 875 + 12*y + 1750.
12*y
Collect the terms in -3*o + 347579*o**3 + 4*o - 348069*o**3.
-490*o**3 + o
Collect the terms in 477*g**2 - 902*g + 2 + 902*g.
477*g**2 + 2
Collect the terms in 4 - 31*d**3 + 103*d**2 - 103*d**2 - 8*d**3 + 0*d**3.
-39*d**3 + 4
Collect the terms in 107*a**2 + 6*a**2 + 36*a**2 - 19*a**2.
130*a**2
Collect the terms in 5*j - 17*j + 46*j - 22*j + 16*j.
28*j
Collect the terms in 2 + 13065*k**3 - 2 - 13068*k**3.
-3*k**3
Collect the terms in -60*h**2 - 16*h**2 - 13*h**2 - 14*h**2 + 33*h**2.
-70*h**2
Collect the terms | {
"pile_set_name": "DM Mathematics"
} |
s digit of 12801?
1
What is the hundreds digit of 363?
3
What is the thousands digit of 8591?
8
What is the hundreds digit of 1089?
0
What is the tens digit of 48?
4
What is the hundreds digit of 14206?
2
What is the units digit of 17968?
8
What is the tens digit of 42531?
3
What is the units digit of 7025?
5
What is the units digit of 3789?
9
What is the hundreds digit of 727?
7
What is the units digit of 842?
2
What is the units digit of 621?
1
What is the tens digit of 1068?
6
What is the tens digit of 121120?
2
What is the thousands digit of 5810?
5
What is the hundreds digit of 820?
8
What is the hundreds digit of 4564?
5
What is the units digit of 319?
9
What is the tens digit of 35765?
6
What is the tens digit of 1848?
4
What is the thousands digit of 38572?
8
What is the hundreds digit of 279?
2
What is the hundreds digit of 724?
7
What is the hundreds digit of 15981?
9
What is the tens digit of 889?
8
What is the thousands digit of 20118?
0
What is the ten thousands digit of 32789?
3
What is the units digit of 1880?
0
What is the units digit of 1796?
6
What is the units digit of 495?
5
What is the hundreds digit of 120111?
1
What is the hundreds digit of 3074?
0
What is the units digit of 357?
7
What is the tens digit of 1487?
8
What is the tens digit of 34054?
5
What is the units digit of 14570?
0
What is the units digit of 911?
1
What is the units digit of 54273?
3
What is the tens digit of 11306?
0
What is the hundreds digit of 666?
6
What is the thousands digit of 9938?
9
What is the hundreds digit of 11965?
9
What is the units digit of 1372?
2
What is the tens digit of 1540?
4
What is the hundreds digit of 6688?
6
What is the tens digit of 288?
8
What is the thousands digit of 108721?
8
What is the thousands digit of 85784?
5
What is the tens digit of 77006?
0
What is the units digit of 4626?
6
What is the tens digit of 1810?
1
What is the tens digit of 988?
8
What is the units digit of 52855?
5
What is the thousands digit of 5891?
5
What is the tens digit of 128613?
1
What is the hundreds digit of 60233?
2
What is the thousands digit of 73548?
3
What is the hundreds digit of 14417?
4
What is the hundreds digit of 19029?
0
What is the tens digit of 4462?
6
What is the hundreds digit of 151?
1
What is the hundreds digit of 347?
3
What is the thousands digit of 7809?
7
What is the hundreds digit of 2711?
7
What is the units digit of 2442?
2
What is the thousands digit of 34157?
4
What is the tens digit of 2480?
8
What is the thousands digit of 16184?
6
What is the units digit of 2139?
9
What is the hundreds digit of 1148?
1
What is the tens digit of 2013?
1
What is the thousands digit of 2765?
2
What is the thousands digit of 44429?
4
What is the units digit of 7542?
2
What is the units digit of 651?
1
What is the hundreds digit of 46139?
1
What is the ten thousands digit of 24911?
2
What is the tens digit of 1165?
6
What is the thousands digit of 7369?
7
What is the tens digit of 663?
6
What is the hundreds digit of 1535?
5
What is the tens digit of 11703?
0
What is the thousands digit of 159409?
9
What is the hundreds digit of 7406?
4
What is the thousands digit of 7081?
7
What is the tens digit of 1164?
6
What is the hundreds digit of 31305?
3
What is the tens digit of 14015?
1
What is the ten thousands digit of 15828?
1
What is the ten thousands digit of 58809?
5
What is the ten thousands digit of 29805?
2
What is the thousands digit of 41023?
1
What is the thousands digit of 2406?
2
What is the tens digit of 4772?
7
What is the thousands digit of 1832?
1
What is the thousands digit of 9306?
9
What is the hundreds digit of 15253?
2
What is the ten thousands digit of 34094?
3
What is the units digit of 55626?
6
What is the tens digit of 23850?
5
What is the tens digit of 859?
5
What is the tens digit of 21606?
0
What is the units digit of 996?
6
What is the hundreds digit of 441?
4
What is the thousands digit of 1512?
1
What is the thousands digit of 11625?
1
What is the tens digit of 14837?
3
What is the ten thousands digit of 36831?
3
What is the thousands digit of 1203?
1
What is the thousands digit of 1206?
1
What is the hundreds digit of 12132?
1
What is the units digit of 2179?
9
What is the units digit of 2753?
3
What is the tens digit of 34491?
9
What is the tens digit of 696?
9
What is the thousands digit of 2232?
2
What is the thousands digit of 1054?
1
What is the hundreds digit of 9213?
2
What is the hundreds digit of 744?
7
What is the thousands digit of 27693?
7
What is the tens digit of 28815?
1
What is the tens digit of 10489?
8
What is the tens digit of 9090?
9
What is the units digit of 242?
2
What is the units digit of 248?
8
What is the tens digit of 9786?
8
What is the units digit of 4916?
6
What is the units digit of 277?
7
What is the ten thousands digit of 30965?
3
What is the tens digit of 13846?
4
What is the hundreds digit of 3680?
6
What is the units digit of 1049?
9
What is the units digit of 5772?
2
What is the ten thousands digit of 24825?
2
What is the hundreds digit of 8172?
1
What is the thousands digit of 4229?
4
What is the thousands digit of 2330?
2
What is the tens digit of 1050?
5
What is the units digit of 1883?
3
What is the units digit of 476?
6
What is the thousands digit of 1100?
1
What is the tens digit of 438?
3
What is the hundreds digit of 124?
1
What is the hundreds digit of 931?
9
What is the thousands digit of 65718?
5
What is the tens digit of 1138?
3
What is the units digit of 1024?
4
What is the thousands digit of 8913?
8
What is the units digit of 374?
4
What is the hundreds digit of 192?
1
What is the tens digit of 3938?
3
What is the units digit of 39781?
1
What is the units digit of 21028?
8
What is the thousands digit of 2102?
2
What is the thousands digit of 103006?
3
What is the hundreds digit of 240?
2
What is the tens digit of 10416?
1
What is the hundreds digit of 2467?
4
What is the tens digit of 46393?
9
What is the units digit of 5836?
6
What is the thousands digit of 4152?
4
What is the tens digit of 872?
7
What is the ten thousands digit of 51122?
5
What is the hundreds digit of 3405?
4
What is the hundreds digit of 2138?
1
What is the units digit of 1633?
3
What is the ten thousands digit of 27402?
2
What is the units digit of 1547?
7
What is the hundreds digit of 12228?
2
What is the thousands digit of 2042?
2
What is the tens digit of 71?
7
What is the units digit of 14012?
2
What is the tens digit of 2518?
1
What is the units digit of 41497?
7
What is the thousands digit of 3564?
3
What is the hundreds digit of 4593?
5
What is the tens digit of 1412?
1
What is the thousands digit of 5433?
5
What is the tens digit of 723?
2
What is the units digit of 1135?
5
What is the hundreds digit of 19307?
3
What is the units digit of 6?
6
What is the tens digit of 241?
4
What is the units digit of 127035?
5
What is the tens digit of 22281?
8
What is the hundreds digit of 3045?
0
What is the units digit of 2302?
2
What is the units digit of 829?
9
What is the ten thousands digit of 49436?
4
What is the units digit of 1805?
5
What is the tens digit of 6036?
3
What is the units digit of 8137?
7
What is the units digit of 3667?
7
What is the thousands digit of 8883?
8
What is the tens digit of 149222?
2
What is the tens digit of 2693?
9
What is the units digit of 1658?
8
What is the tens digit of 7418?
1
What is the tens digit of 27520?
2
What is the hundreds digit of 1883?
8
What is the tens digit of 18?
1
What is the hundreds digit of 12728?
7
What is the thousands digit of 2356?
2
What is the thousands digit of 2162?
2
What is the thousands digit of 1270?
1
What is the units digit of 5428?
8
What is the tens digit of 4023?
2
What is the units digit of 8?
8
What is the units digit of 8?
8
What is the tens digit of 364?
6
What is the units digit of 2517?
7
What is the tens digit of 100?
0
What is the tens digit of 1422?
2
What is the tens digit of 22675?
7
What is the units digit of 3215?
5
What is the hundreds digit of 41189?
1
What is the thousands digit of 22824?
2
What is the ten thousands digit of 41961?
4
What is the ten thousands digit of 46345?
4
What is the hundreds digit of 27164?
1
What is the tens digit of 13256?
5
What is the thousands digit of 3431?
3
W | {
"pile_set_name": "DM Mathematics"
} |
et f(r) = 6*r**3 - 250*r**2 - 6*r + 234. Let p(o) = -f(o) + 8*l(o). Factor p(k).
2*(k - 1)*(k + 1)*(k + 129)
Let h(q) = 164*q + 11162. Let w be h(-68). Let s(x) be the first derivative of 0*x**4 + 0*x + 0*x**2 - w - 2/3*x**6 + 0*x**3 + 0*x**5. Factor s(a).
-4*a**5
Let t(b) be the first derivative of 20*b**2 + 64*b - 50 + 4/3*b**3. Factor t(v).
4*(v + 2)*(v + 8)
Let n = -114255/41 + 2787. Let b = 118/123 - n. Suppose 4/3*m**2 - 4*m**3 + 2*m - 2/3*m**4 + 2*m**5 - b = 0. What is m?
-1, 1/3, 1
Suppose 0 = 8*o - 5 - 59. Let q(b) be the second derivative of -1/5*b**5 + 0 + 0*b**3 + 0*b**2 - 7/3*b**4 - o*b. Factor q(y).
-4*y**2*(y + 7)
Let r(i) = -i**3 + 111*i**2 + 635*i - 6372. Let g be r(116). Factor 2/7*f**4 - 52/7*f**3 - 110/7*f**2 + 0 - g*f.
2*f*(f - 28)*(f + 1)**2/7
Factor -1/7*n**2 - 40*n - 2800.
-(n + 140)**2/7
Suppose -y - 4*y + 7 = -2*o, -y = 2*o + 1. Let s be o/((-2)/20*2). Factor -4*q**4 + 2*q - 14*q**2 + 5*q**5 + 18*q**2 - 7*q**s.
-2*q*(q - 1)*(q + 1)**3
Find y such that -43*y**4 + 25*y**3 - 14*y**5 + 5*y**5 + 53*y**4 + 4*y**5 - 18*y**2 - 12*y**2 = 0.
-2, 0, 1, 3
Let d be (-52)/(-14) + 18/14 + -1. Suppose 4*n + n - 45 = -2*j, 0 = -2*j + 4*n. Factor h**5 - 8*h**4 + j*h**3 + 23*h**4 + 0*h**d + 4*h**5.
5*h**3*(h + 1)*(h + 2)
Factor -2500 - 2800/3*n - 103/3*n**2 - 1/3*n**3.
-(n + 3)*(n + 50)**2/3
Factor 9*a**2 - 21*a**2 - 1176*a + 82*a + 10*a**2 - 1832 - 740*a.
-2*(a + 1)*(a + 916)
Suppose -2/11*u**2 - 439922/11 - 1876/11*u = 0. What is u?
-469
Let c(z) be the second derivative of -z**4/30 - 21*z**3/5 + 26*z**2 + 223*z - 2. What is s in c(s) = 0?
-65, 2
Let s(y) be the third derivative of -17/100*y**5 - 9 - y**2 + 0*y + 7/40*y**4 + 1/10*y**3 + 9/200*y**6. Factor s(m).
3*(m - 1)**2*(9*m + 1)/5
Let m(w) be the first derivative of -w**6/36 - 152*w**5/15 + 153*w**4/4 - 460*w**3/9 + 307*w**2/12 + 1068. Find l, given that m(l) = 0.
-307, 0, 1
Let g be (-19)/55 + 102/187 - 36/(-120). Suppose 4*u = -u. Determine x, given that -g*x**5 + 1/2*x**2 + 1/2*x**3 - 1/2*x**4 + 0 + u*x = 0.
-1, 0, 1
Let n(z) be the third derivative of z**6/60 - 7*z**5/6 + 32*z**4/3 - 124*z**3/3 + 2*z**2 - 78*z. Determine x, given that n(x) = 0.
2, 31
Let f(o) be the third derivative of -o**5/90 + 7*o**4/18 - 8*o**3/3 + 2*o**2 + 3*o + 1326. Determine l, given that f(l) = 0.
2, 12
Let o = 404904 - 2834326/7. Factor o*u**4 - 2024/7*u + 1058/7 + 876/7*u**2 + 88/7*u**3.
2*(u - 1)**2*(u + 23)**2/7
Suppose 0 = -280*n + 282*n - 2*w - 2, -3 = 4*n + 3*w. Let d(m) be the second derivative of 27/4*m**2 + 1/8*m**4 + n + 3/2*m**3 + 25*m. What is p in d(p) = 0?
-3
Let r = 169 + -164. Factor -8 - r*y + 12 + 5*y**3 - 14 + 10*y**2.
5*(y - 1)*(y + 1)*(y + 2)
Let d(h) be the second derivative of 4/33*h**3 + 1/33*h**4 - 1/110*h**5 + 0*h**2 + 0 - 1/330*h**6 - 6*h. Factor d(g).
-g*(g - 2)*(g + 2)**2/11
Suppose 0 = 3*d - 27 + 12. Suppose -2*q + d = -2*s + 1, q = 2*s - 1. Factor -12*z + 26*z**s + 16*z**3 - 27*z**3 + 3*z**2.
3*z*(z + 1)*(5*z - 4)
Let -49*l**3 + 170*l + 37*l**3 - 165*l**2 + 7*l**3 = 0. What is l?
-34, 0, 1
Let n = -1386 + 1412. Let s = n - 129/5. Factor 1/5*a - s*a**3 + 1/5 - 1/5*a**2.
-(a - 1)*(a + 1)**2/5
Suppose -5*p - 3*q - 1235 = -6281, -2*q + 2020 = 2*p. Let l = 1010 - p. What is r in 6/11*r + 2/11*r**l - 20/11 = 0?
-5, 2
Let h(q) = 8*q**5 + 10*q**4 - 6*q**3 - 4*q + 4. Let p(r) = -r**4 + r**3 + r - 1. Let i = 40 - 32. Let s be 4/10*20/i. Let x(c) = s*h(c) + 4*p(c). Factor x(z).
2*z**3*(z + 1)*(4*z - 1)
Determine a so that 2/7*a**3 + 842402/7 - 2594/7*a**2 + 839806/7*a = 0.
-1, 649
Let j(m) be the second derivative of -m**7/210 + 13*m**6/150 - 57*m**5/100 + 103*m**4/60 - 41*m**3/15 + 12*m**2/5 - 2427*m. Factor j(u).
-(u - 6)*(u - 4)*(u - 1)**3/5
Let 101*h**2 + 26 - 39*h**2 - 62 + 2*h**3 - 42*h**2 + 34*h - 20 = 0. Calculate h.
-7, -4, 1
Let n(t) = -t**3 + 2*t**2 + 5*t - 7. Let h be n(3). Let u(l) = l**2 - l + 1. Let f(p) = -3*p**2 - p + 17. Let q(d) = h*u(d) + f(d). Factor q(g).
-4*(g - 2)*(g + 2)
Let c = 540096 + -540093. Factor 8/9*s + 10/9*s**2 + 2/9*s**c + 0.
2*s*(s + 1)*(s + 4)/9
Let o(z) be the second derivative of -2*z**6/15 - 4*z**5/5 - 2*z**4/3 + 8*z**3/3 + 6*z**2 + 2022*z. Determine b, given that o(b) = 0.
-3, -1, 1
Let c(o) be the third derivative of -o**7/70 - 23*o**6/40 - 7*o**5 - 49*o**4/2 + 9069*o**2. Determine z, given that c(z) = 0.
-14, -7, -2, 0
Let w(j) be the third derivative of 1/735*j**7 + 1/42*j**4 + 0*j + 0*j**6 - 1/70*j**5 + 0 + 0*j**3 + 42*j**2. Solve w(u) = 0.
-2, 0, 1
Let o(l) be the second derivative of 127*l + 3/20*l**6 + 0 - 9/5*l**5 + 11/4*l**4 - 16/9*l**3 + 7/12*l**2. Factor o(z).
(z - 7)*(3*z - 1)**3/6
Let i = -1159 - -1172. Let z(m) be the first derivative of 0*m**4 - 3/5*m**5 - i + 0*m**2 + 0*m + m**3. Factor z(l).
-3*l**2*(l - 1)*(l + 1)
Let g(c) be the third derivative of 7*c**6/120 - 79*c**5/90 - 23*c**4/72 + 747*c**2. Determine l, given that g(l) = 0.
-1/7, 0, 23/3
Let m(l) be the first derivative of l**4/4 + 13*l**3/3 - 34*l**2 + 422. Find s such that m(s) = 0.
-17, 0, 4
Let z(i) be the third derivative of -2*i**7/105 - 98*i**6/15 - 4224*i**5/5 - 43560*i**4 + 383328*i**3 + 276*i**2 + 8. Solve z(g) = 0 for g.
-66, 2
Let r be (15 + 1610/(-105))/((-16)/300). Find s, given that 9/4*s**3 + 0 - 3/2*s - r*s**2 = 0.
-2/9, 0, 3
Solve -8*s - 935 + 8*s**2 - 929 + 0*s**3 - 909 + 2*s**3 + 2741 = 0 for s.
-4, -2, 2
Let j be 16/(-10) + 2 - (-1568)/80. Let z be (45/j)/(6/32). Factor 3 - 12*l + 9*l**2 - 45*l**2 - 4*l**3 + 5 + z*l**4.
4*(l - 2)*(l + 1)**2*(3*l - 1)
Let v(t) be the first derivative of -3*t**7/1540 + t**6/99 - 13*t**5/660 + t**4/66 - 72*t**3 + 54. Let g(n) be the third derivative of v(n). Factor g(f).
-2*(f - 1)**2*(9*f - 2)/11
Let c(h) be the third derivative of h**8/10080 - h**7/360 + h**6/36 + 53*h**5/30 + 80*h**2. Let g(l) be the third derivative of c(l). Factor g(q).
2*(q - 5)*(q - 2)
Suppose -73*y = -78*y - 180. Let i = -14 - y. What is a in a**2 + a**3 + i*a - a**2 - 2 - 25*a = 0?
-1, 2
Let a(z) = -7*z**3 - 20*z**2 + 59*z + 176. Let f(o) = -6*o**3 - 18*o**2 + 57*o + 177. Let y(h) = 3*a(h) - 4*f(h). Solve y(b) = 0.
-5, -3, 4
Let o = 147061/16495 - 381/3299. Suppose 24/5*j**4 - o*j**2 + 294/5*j + 8/5*j**5 - 36 - 102/5*j**3 = 0. What is j?
-5, -2, 1, 3/2
Suppose 16 + 24 = 10*i. Let f(s) = 4*s - 3. Let r be f(i). Determine h so that 4*h**2 - 8 - r*h + 9*h + 0*h**2 = 0.
-1, 2
Let x = -374704/7 + 53530. Factor -1/7*y**2 - 5/7*y - x.
-(y + 2)*(y + 3)/7
Let x be 1152/588 + -2 - (-88392)/4704. Factor -45/4 - x*t - 35/4*t**2 - 5/4*t**3.
-5*(t + 1)*(t + 3)**2/4
Suppose -411 - 306 = -270*b + 31*b. Solve -27/4*u**b - 105/2*u**2 - 357/4*u + 45/2 = 0.
-5, -3, 2/9
Let u(f) be the second derivative of 17/66*f**4 - 1/110*f**5 - 81/11*f**2 - 21/11*f**3 + 0 - 108*f. Factor u(h).
-2*(h - 9)**2*(h + 1)/11
Let h(n) be the third derivative of -n**7/2520 + n**6/180 + n**4/4 - 5*n**3/6 + 27*n**2. Let x(p) be the second derivative of h(p). Let x(d) = 0. Calculate d.
0, 4
Let k(a) be the first derivative of a**6/2 + 9*a**5 - 33*a**4/4 - 147*a**3 + 393*a**2 - 360*a - 912. Find j such that k(j) = 0.
-15, -4, 1, 2
Determine n so that 211/2*n + 1/2*n**2 - 106 = 0.
-212, 1
Let w(y) be the third derivative of -3*y - y**2 + 0*y**5 + 0 + 1/105*y**7 + 0*y**4 + 1/60*y**6 + 0*y**3. Solve w(x) = 0.
-1, 0
Factor 4174357/2*c**2 - 53596587/4*c + 82163961/4 + 63645/2*c**3 + 1/4*c**5 + 621/4*c**4.
(c - 3)**2*(c + 209)**3/4
Let h(d) be the third derivative of 0*d**4 - 1/357*d**7 + 2*d - 30*d**2 + 1/170*d**6 + 0 - 1/2856*d**8 + 0*d**3 + 0*d**5. What is i in h(i) = 0?
-6, 0, 1
Suppose -68 - 65 + 25 = -54*r. Let f(n) be the third derivative of -1/24*n**3 + 0 + 0*n**4 - r*n**2 + 0*n + 1/240*n**5. Let f(o) = 0. Calculate o.
-1, 1
Let k = -87316/33 + 2646. Let h(n) be the second derivative of 0 - 1/22*n**5 - 14*n + 1/33*n**3 + 0*n**2 - k*n**4. Factor h(y).
-2*y*(y + 1)*(5*y - 1)/11
Let z(p) be the first derivative of -p**5/10 - 3*p**4/4 + 8*p**2 + 1. What is f in z(f) = 0?
-4, 0, 2
Let o(u) be the first derivative of 3/4*u**2 - u + 2*u**3 + 7/8*u**4 + 68. Determine x, given that o(x) = 0.
-1, 2/7
Suppose -b = 5*o - 22, -37*b + 42*b = 4*o - 6. Factor 0 + 21/8*l**3 + 27/8*l + 3/8*l**o + 45/8*l**2.
3*l*(l + 1)*(l + 3)**2/8
Solve -182/3*k**2 + 2/3*k**3 - 754/3*k - 190 = 0 for k.
-3, -1, | {
"pile_set_name": "DM Mathematics"
} |
et r = -179 - -1251/7. Let k = 837 + -842. Which is the nearest to r? (a) 3 (b) k (c) 0
c
Let y be 3/(2*15/6). Let v = -1 + y. Which is the closest to 1? (a) -1 (b) 13 (c) v
c
Let n = 0.31 + -0.16. Let k = -3.1 + 0.1. What is the closest to n in 0.3, k, 4/5?
0.3
Let c = 0.1045 - 0.0545. What is the closest to -5 in -1, -1/5, c?
-1
Let m be 4/(-14)*(-14 + 784/48). Which is the nearest to -0.1? (a) 2/11 (b) -3 (c) m (d) 5
a
Suppose 4 = -68*i + 70*i. Let n be i/9 - 80/(-180). Which is the nearest to n? (a) 1/3 (b) -0.22 (c) -0.2
a
Let l = -0.34 + 4.34. Let i = -7 + l. Which is the nearest to i? (a) 2 (b) 0.4 (c) -5
c
Let l = 0.0266 - 0.0866. Suppose 0 = -3*s + 8*s. What is the nearest to -1 in s, l, -0.5?
-0.5
Let l = 0 + 0.5. Let y(o) = 60 - 11*o + 0*o**2 + 4*o**2 - 64. Let i be y(3). What is the closest to i in 4, l, 2?
l
Let t = -4.052 + 0.052. Let w be (-2)/6 + 3/36. What is the closest to 0.2 in 2/13, w, t?
2/13
Let v = -0.6 + -6.4. Let g = v - -3. Let q be (-6)/2*6/(-9). Which is the nearest to 0.1? (a) -5 (b) q (c) g
b
Let g = 10.56 + -10.86. Let o(p) = -p**3 - 4*p**2 - p - 3. Let h be o(-4). Which is the closest to -5? (a) h (b) g (c) -4
c
Let q = 39 - 34. Let t = -5 - -4. Which is the nearest to t? (a) 0.1 (b) q (c) -0.4
c
Let x(b) = b**3 + 7*b**2 - 23*b + 70. Let h be x(-10). What is the closest to h in 167, 3, -1, -0.3?
-0.3
Let k be ((-18)/8)/((-9)/(-24)). Let z be (-2)/(-3)*k/20. Let p = -54 - -164/3. Which is the closest to 0? (a) p (b) z (c) -1/3
b
Let k = -184 - -59. Let g = k - -124.9. What is the closest to g in 8, -1, 1?
-1
Let p = 12.4 + -4.4. Let i = 43 + -48. What is the nearest to 2/7 in 2, i, p?
2
Let j be (-280)/(-2)*(-7)/(-14). Let q be (-21)/j*8/18. Let y = -0.35 - 0.05. Which is the closest to -3/5? (a) q (b) 0.4 (c) y
c
Let w = -0.3 - -0.3. Let i = 1.12 + -3.08. Let h = 0.04 - i. Which is the closest to w? (a) -0.4 (b) h (c) 2/9
c
Let g be (230 - 224)/(1 + 0 + 2). Let z(k) = k**3 - 1. Let s be z(0). Which is the closest to -1/4? (a) g (b) s (c) 3
b
Let o = -33.2 - -34.2. Which is the nearest to 0? (a) 37 (b) o (c) 2/13
c
Let o = -24 - 47. Let n = o + 76. Let h = 199/35 + -27/5. Which is the nearest to h? (a) 2/5 (b) 2/3 (c) n
a
Let s be (-2170)/20*(-1)/(-2). Let f = -55 - s. What is the closest to f in 3, -1/6, -4?
-1/6
Suppose 4*r - 5*x + 8*x = 67, -3*r - 3*x = -51. What is the nearest to 0.4 in 3/7, -0.2, -4, r?
3/7
Let a = 17.85 + -17.8. What is the closest to a in -3, 1, 0.2, -1/6?
0.2
Suppose c - 11 = 2*r + 2*r, 4*r + 21 = -c. Let p = 2 + -1. Suppose 0 = -2*t + 533 - 527, 3*w = -3*t + 18. What is the nearest to p in w, c, -4?
w
Let p be (-90)/150*(-4)/(-3). Which is the nearest to -2? (a) 0.2 (b) 2 (c) p
c
Let o = -17 - -16.6. Let t = 149.5 - 149. Which is the nearest to t? (a) o (b) 2/13 (c) 0
b
Let g = -61/192 - 1/64. Let f = 0.02 + -4.02. Which is the nearest to 2/3? (a) f (b) 1/2 (c) g
b
Let g = 7.94 - -0.06. Let s = -8.8 - -11.8. Let t = s - g. What is the nearest to 0 in -4, -2, t?
-2
Let w(o) be the third derivative of o**4/12 + 7*o**3/2 + 19*o**2. Let z be w(-10). What is the closest to z in 5, -0.4, -4?
-0.4
Let p = 488 + -484. What is the nearest to p in 2, 0.5, -1/2?
2
Let j be (2/(-63))/((-15)/35). Let w = -68/189 + j. What is the nearest to -1 in -1/3, -1, w?
-1
Let o = -4.688 + -0.012. Let y = 0.7 + o. Which is the nearest to 0.1? (a) y (b) 1/2 (c) 5
b
Let k(j) = j**2 + 5*j - 5. Let p be k(-6). Let b be (0 + 0)*(p - 0). Let z = -21.97 - -16.97. What is the nearest to 0.1 in -1/9, z, b?
b
Suppose 517 = 5*m + 52. Let n = -463/5 + m. Let a = 19 + -18.9. What is the nearest to a in n, 0.3, 0?
0
Let n = -559.8 + 560. Which is the nearest to 1? (a) 5 (b) -93 (c) -4 (d) n
d
Suppose 0*k + 27 = k + 3*j, 0 = -3*j + 3. Let w be ((-2)/k)/(4/8). Let z = -0.25 + -0.05. Which is the closest to -1/2? (a) z (b) w (c) 1
a
Let o be (1 - (-1)/(-4))/((-6)/4). Let d = 12 + -59/5. Let r = 229/11 - 21. Which is the closest to -1/3? (a) d (b) r (c) o
b
Let y = -1861 + 1865. Which is the closest to -2/5? (a) -0.5 (b) -4 (c) y (d) 2
a
Let s(o) = 40*o + 240. Let z be s(-6). What is the nearest to z in -2/3, -3, -2/13?
-2/13
Let k = -1031/156 + 248/39. Let h = 0.9 + 0.1. What is the nearest to -9 in k, -5, h?
-5
Let y = 37 - -54. Let d = y + -93. Suppose -3*i = -2*i + 5. What is the closest to 0 in d, -1, i?
-1
Let q be (65/26)/(165/12). Which is the closest to 1? (a) 3 (b) 22 (c) -3/5 (d) q
d
Let u(w) = 4*w**2 + 21*w - 16. Let r be u(-7). Let d = r + -38. What is the nearest to -2/11 in d, 1, -1?
-1
Let p = 3.1 + 19.9. Let o = 23.4 - p. Suppose -k + 3*k = -2. What is the nearest to k in -2, -2/7, o?
-2/7
Let v = 0 - 0.1. Let y = 1747 - 1748. What is the closest to v in -0.03, y, -4?
-0.03
Let g = 1008 - 1006. Let o be (-1 + (-1 - 1))/(-1). Suppose o*t - t - g = 0. What is the closest to -0.1 in -3, -5, t?
t
Let q be (1 - -1)*105/14. Let z = -21 + q. Let s be (-13 + 11)/(-6 + 0). Which is the nearest to -1/4? (a) s (b) z (c) 0
c
Let d = 0.4 - 0.3. Let r(j) = -5*j + 6. Let x(w) = 4*w - 5. Let z(s) = 5*r(s) + 6*x(s). Let f be z(1). What is the closest to f in -0.5, d, -2/9?
-0.5
Let b(y) = y**3 + 10*y**2 + y + 8. Let q be b(-10). Let t = -1404.97 - -1412. Let f = t + -7. What is the nearest to -2/7 in f, q, 2?
f
Let c = -0.66 - -0.646. Let t = -0.386 + c. What is the closest to -1 in t, 0.1, -5?
t
Let v = 1817/7 + -260. Let f = -313 + 314. What is the nearest to f in 2/15, v, -4?
2/15
Let j = 121.73 - -0.27. Let w = -129 + j. Which is the closest to 2/5? (a) w (b) 2 (c) 1
c
Let g = 0.21 - 4.21. Let f(w) = -2*w**2 + 13*w - 5. Let r be f(6). What is the nearest to r in 0.4, -1/4, g?
0.4
Let z = 707/5 - 141. Let i be -5 + (3 - -9) + -5*1. What is the nearest to z in i, 5, 0.3?
0.3
Suppose 3*b = 4*d - 4, -3*d + 12 - 9 = 4*b. What is the closest to d in 5, -2, -0.14?
-0.14
Let w = -53.9 + 53.7. What is the nearest to 0.02 in w, 2, -23?
w
Let v = -268/897 - -10/69. Let k = 59 + -84. Let z = 124/5 + k. Which is the closest to -1? (a) z (b) -4 (c) v
a
Let i = -149 + 149.2. Let r = 10.3 + -1.3. Let n = 8.8 - r. What is the closest to 1 in 1/2, n, i?
1/2
Suppose 12 = -o - 2*o. Let m = -0.373 + 0.173. What is the closest to m in 0.2, -3, o?
0.2
Let v be (-8 + -2)/(36/(-5 - -2)). What is the closest to v in -2, -0.5, -0.2?
-0.2
Let z = -12.1 - -11.02. Let r = -0.88 - z. Suppose -2*o = 3*o - 20. Which is the nearest to 1? (a) o (b) r (c) -0.5
b
Suppose -4*i + 2*l + 28 = 0, -3*l + l = -2*i + 18. Suppose 0 = -d + 6*d - i. What is the closest to d in -1/8, -0.4, 2?
2
Let u be (156/65)/((-1)/10). Let m = -26 - u. What is the closest to -1 in 1, -4, m?
m
Suppose -3*h + 4 = -2*h, 5 = 3*x - h. Suppose 0 = 5*t + 3*m - 19, t - 3*m + 3 = -2*t. Let l be t*(-1)/2 + x. What is the nearest to -1 in -0.1, l, -0.06?
-0.1
Let a = 41.5 - 42.5. What is the closest to -3 in a, 0.1, -0.07?
a
Let q = -15.94 + 16. Let k = 0.04 + -0.04. Let d = 5.6 + -6. Which is the nearest to q? (a) -1 (b) d (c) k
c
Let n = 0.051 + 0.049. Suppose g - 2 = -w, 5*g = 4*w + 7 - 24. What is the nearest to g in 5, -0.03, n?
-0.03
Let c = 0.042 + -0.042. Let g = 6 - 5. What is the nearest to g in 1, -9, c?
1
Let y = -0.4 - 5.6. Let h be (3/117)/(28/(-1812)). Let w = -29/13 - h. Which is the nearest to -1? (a) -5 (b) w (c) y
b
Suppose 5*c - 3*h - 7 - 10 = 0, -c = h + 3. What is the nearest to 0.3 in -0.13, c, -3?
-0.13
Let b be -1 - (7/(-9) + 0). Let j = -48 - -47.87. Let k = 3.13 + j. What is the closest to -2 in k, -3/2, b?
-3/2
Let i be (-1)/(-2)*(-17 + 17). Let b be (-6)/21 - (i + 0). Let j = 0.94 - -0.06. What is the nearest to 2 in 2, b, j?
2
Suppose -y - 18 = 5*x, x = 2*y - 5 - 3. Let t be 2 + (-1 - y) - 20/(-15). Suppose 0*f - 2*f = 2. Which is the nearest to t? (a) -4 (b) 3 (c) f
c
Let g = 37 - 24. Let z = 15 - g. Which is the nearest to -0.1? (a) z (b) 5 (c) 0
c
Let q = -101/17 - -337/51. Which is the nearest to 10? (a) -2/5 (b) 0.3 (c) -1/6 (d) q
d
Let q = 1/13 - -19/91. Let z = -0.09 + -2.91. Let w = 1 - 2. What is the closest to q in 0, z, w?
0
Let n = -1280 - -1279. What is the closest to -1/5 in -0.06, 0.2, 0.4, n?
-0.06
Let o = 0.0053 + -0.2053. Which is the closest to | {
"pile_set_name": "DM Mathematics"
} |
ve m(89).
-20
Let c(l) = l**3 + 27*l**2 - 1096*l - 29172. What is c(-26)?
0
Let m(s) = s**3 - 74*s**2 + 75*s + 1032. Determine m(73).
1178
Let r(x) = 557*x - 197585. Determine r(354).
-407
Let u(b) = -b**3 - 151*b**2 + 2668*b - 626. What is u(-167)?
42
Let s(x) = 35527*x + 106515. What is s(-3)?
-66
Let q(k) = 2*k**3 - 239*k**2 + 3657*k - 63. Calculate q(18).
-9
Let s(f) = -3*f**3 - 454*f**2 + 749*f - 295. Give s(1).
-3
Let f(c) = 229*c**2 + 1449*c + 514. Determine f(-6).
64
Let y(t) = -266*t**3 + t**2 - 143*t - 146. Give y(-1).
264
Let n(l) = 4*l**3 - 5*l**2 + 387*l - 1577. Give n(6).
1429
Let b(u) = 2732*u + 221338. Calculate b(-81).
46
Let x(l) = -4*l**2 + 228*l + 6. Calculate x(53).
854
Let o(q) = -2953*q + 26591. Determine o(9).
14
Let y(o) = -87830*o - 1756597. Determine y(-20).
3
Let s(c) = 2*c**2 + 93*c + 702. Give s(-10).
-28
Let c(a) = -2*a**2 - 458*a - 17358. Determine c(-181).
18
Let x(y) = y**2 + 2956*y - 29485. Calculate x(10).
175
Let a(s) = -s**3 - 45*s**2 + 3923*s - 11. What is a(44)?
297
Let t(x) = -1446*x - 19223. Calculate t(-15).
2467
Let y(j) = -47*j**2 + 1248*j - 4703. Determine y(22).
5
Let k(d) = -557*d + 3080. Calculate k(6).
-262
Let d(x) = 88591*x + 354342. Determine d(-4).
-22
Let k(h) = 2*h**2 - 165851*h - 663436. What is k(-4)?
0
Let s(j) = 3*j**3 - 71*j**2 + 388*j - 57. Determine s(6).
363
Let b(t) = -5*t**3 + 4*t**2 - t + 339. Calculate b(0).
339
Let w(g) = -3*g**3 + 32*g**2 - 41209*g + 453416. What is w(11)?
-4
Let b(c) = -15008*c - 75051. Calculate b(-5).
-11
Let m(p) = -31*p**2 + 51*p - 17. Calculate m(-4).
-717
Let w(d) = 13*d**3 + 1771*d**2 + 291*d - 15929. Calculate w(-136).
-17
Let u(l) = -4*l**2 + 10271*l - 10270. Give u(1).
-3
Let f(n) = -n**3 + 41*n**2 + 34*n - 19. Determine f(42).
-355
Let x(h) = 99*h**2 - 1077*h - 158. Calculate x(11).
-26
Let w(t) = -254*t**2 - 17019*t - 75. Calculate w(-67).
-8
Let x(m) = m**2 - 156*m - 4763. Give x(-26).
-31
Let o(g) = -6*g**3 + 95*g**2 + 10*g + 90. Determine o(16).
-6
Let s(c) = c**3 - 141*c**2 - 2866*c + 612. What is s(159)?
-24
Let s(o) = -2*o**2 - 98*o - 407. Give s(-29).
753
Let r(l) = -39*l**2 - 8286*l - 8281. Determine r(-1).
-34
Let a(i) = -i**3 - 53*i**2 - 293*i + 191. Give a(-47).
708
Let o(z) = z**2 - 274*z - 4637. Determine o(-16).
3
Let u(g) = -3*g**3 + 21*g**2 - 135*g - 14. Give u(8).
-1286
Let n(s) = 5*s**2 + 420*s - 5212. Give n(11).
13
Let h(l) = -10*l**2 - 425*l + 674. Calculate h(-44).
14
Let v(i) = -4*i**2 + 32*i + 13343. Calculate v(-54).
-49
Let b(j) = 20*j**2 + 156*j - 35. Give b(-7).
-147
Let t(f) = 32*f**2 - 9911*f - 19827. What is t(-2)?
123
Let w(t) = t**3 + 261*t**2 - 1608*t - 1598. What is w(-267)?
4
Let n(k) = 71*k**2 + 1400*k - 348. Determine n(-20).
52
Let r(i) = 335580*i - 7. Determine r(0).
-7
Let o(g) = -368464*g + 2210786. Give o(6).
2
Let o(q) = 17818*q + 179246. What is o(-10)?
1066
Let d(c) = -704*c - 95924. Give d(-138).
1228
Let f(o) = -10*o**3 - 1101*o**2 - 140*o - 1272. Calculate f(-110).
2028
Let n(q) = 2*q**3 - 1597*q**2 + 3194*q - 4. What is n(2)?
12
Let m(f) = -3*f**2 + 785*f - 50597. What is m(115)?
3
Let a(u) = -2*u**3 + 87*u**2 - 1345*u + 21486. What is a(33)?
-30
Let n(w) = -5*w**3 + 191*w**2 - 44*w + 187. Determine n(38).
-41
Let u(z) = -z**2 - 1288*z - 90980. Calculate u(-75).
-5
Let d(k) = -623*k - 52279. Give d(-84).
53
Let z(c) = 1115*c + 24758. Determine z(-20).
2458
Let t(m) = -4259*m + 851810. What is t(200)?
10
Let h(q) = -293232*q - 3225531. Calculate h(-11).
21
Let f(i) = -11*i**3 - 1508*i**2 - 135*i + 272. Calculate f(-137).
-2
Let t(h) = 4*h**2 - 30262*h + 30263. What is t(1)?
5
Let b(u) = -u**3 - 2*u**2 - 637*u + 3234. What is b(5)?
-126
Let p(q) = 709*q + 2027. What is p(-2)?
609
Let j(a) = 3299*a + 50017. Calculate j(-15).
532
Let q(j) = 5650891*j + 22603569. Calculate q(-4).
5
Let v(n) = n**3 - 252*n**2 + 5487*n - 2936. What is v(228)?
484
Let g(j) = -j**3 + 20*j**2 - 257*j + 4810. Calculate g(20).
-330
Let g(l) = l**3 + 44*l**2 + 485*l - 23108. Give g(16).
12
Let m(k) = -66*k + 1330. What is m(34)?
-914
Let m(s) = -s**3 - 52*s**2 + 458*s + 188. What is m(8)?
12
Let u(c) = 4762*c + 1376237. Determine u(-289).
19
Let j(q) = -14414*q - 71852. Give j(-5).
218
Let u(h) = 9386*h + 84420. Calculate u(-9).
-54
Let k(f) = 7*f**3 - 363*f**2 - 444*f + 926. Calculate k(53).
-134
Let f(o) = -80752*o + 3795356. Give f(47).
12
Let i(c) = 5*c**2 + 2804*c - 16833. Give i(6).
171
Let b(x) = -2*x**3 - 1131*x**2 - 4899*x + 84152. Give b(-561).
2
Let r(q) = -3*q**2 + 1318*q + 25631. What is r(458)?
-17
Let y(v) = -56*v**2 + 3810*v - 109. Determine y(68).
27
Let r(p) = 6*p**2 - 186*p + 1024. Determine r(20).
-296
Let r(m) = -2*m**3 - 578*m**2 - 26785*m + 2561. Determine r(-231).
20
Let s(i) = i**3 + 116*i**2 + 124*i + 617. Determine s(-115).
-418
Let v(x) = -2*x**2 - 8104*x - 3533676. Calculate v(-497).
-6
Let o(y) = -660652*y - 3963904. Determine o(-6).
8
Let c(m) = 349*m**3 + 1027*m**2 - 61*m - 9. Calculate c(-3).
-6
Let c(i) = 11572*i + 358768. Determine c(-31).
36
Let g(w) = 143*w - 1438. Give g(10).
-8
Let y(s) = 2*s**3 + 158*s**2 - 842*s + 712. Give y(-84).
880
Let g(d) = -4*d**2 - 36*d - 616. Give g(-15).
-976
Let b(h) = 8*h**3 - 38*h**2 - 195*h - 58. Determine b(8).
46
Let p(l) = -8*l**2 + 116*l + 527. Calculate p(17).
187
Let t(i) = -i**3 + 199*i**2 + 2241*i - 81. Calculate t(-11).
678
Let j(s) = -s**3 - 78*s**2 + 178*s - 1775. Give j(-81).
3490
Let o(h) = 152*h**2 + 5038*h + 1130. Calculate o(-33).
404
Let w(q) = 403130*q - 1209382. What is w(3)?
8
Let f(d) = 142*d + 12361. Give f(-99).
-1697
Let a(d) = -434*d + 16893. Calculate a(47).
-3505
Let b(n) = -n**3 + 775*n**2 - 134902*n - 481. Give b(264).
47
Let c(t) = 3*t**3 - 15*t**2 - 2079*t + 8309. Determine c(4).
-55
Let z(h) = -37*h**3 - 3011*h**2 - 1139*h - 409. What is z(-81)?
-4
Let n(y) = 2*y**2 - 2460*y - 1144803. Calculate n(-360).
-3
Let g(y) = 29*y**2 - 1993*y - 541. Calculate g(69).
11
Let a(v) = v**3 + 17*v**2 - 154*v - 2852. What is a(-17)?
-234
Let t(q) = 5*q**3 - 1124*q**2 - 9552*q - 187. Determine t(233).
46
Let a(b) = 3409*b + 23946. Calculate a(-7).
83
Let s(q) = -529*q + 158185. Calculate s(299).
14
Let n(g) = 79*g**2 + 695*g + 22. Give n(-9).
166
Let l(d) = 95*d**2 - 1330*d + 313. Determine l(14).
313
Let c(v) = 2*v**3 - 12*v**2 - 114*v + 848. Calculate c(9).
308
Let o(p) = -105*p**2 - 1362*p + 2727. Give o(2).
-417
Let g(v) = -20*v**2 - 214*v + 3098. Calculate g(-19).
-56
Let p(d) = 36039*d - 468496. Determine p(13).
11
Let s(u) = u**3 - 1783*u**2 - 12627*u - 672. Calculate s(-7).
7
Let b(t) = 1092*t - 218277. Determine b(200).
123
Let n(s) = -5*s**3 + 43*s**2 + 10*s - 58. Give n(1).
-10
Let l(h) = 1596*h - 23418. What is l(14)?
-1074
Let z(x) = -x**2 + 200*x - 2912. Give z(15).
-137
Let u(g) = -109*g - 5378. Give u(-60).
1162
Let f(y) = 5*y**2 - 169*y - 693. Calculate f(-4).
63
Let h(m) = 337*m + 66846. Determine h(-195).
1131
Let u(m) = -6*m**2 + 124*m - 595. What is u(12)?
29
Let n(i) = 15*i**3 + 368*i**2 - 2254*i - 18. Determine n(6).
2946
Let c(w) = 443*w + 20795. Calculate c(-47).
-26
Let s(c) = 75*c + 15655. Determine s(-201).
580
Let o(t) = -t**3 + 559*t**2 - 4398*t - 5500. Determine o(551).
10
Let f(m) = -m**3 + 19*m**2 + 919*m - 6003. Determine f(6).
-21
Let r(o) = -148642*o**2 - 1635064*o - 16. What is r(-11)?
6
Let l(z) = 2068*z - 43421. Determine l(21).
7
Let b(d) = -2087*d**3 - 5*d**2 - 4*d - 3. Determine b(-1).
2083
Let i(m) = -20*m**3 + 19030*m**2 - 18977*m - 53. Give i(1).
-20
Let r(c) = -2*c**2 + 792*c + 14878. Calculate r(-18).
-26
Let d(n) = n**3 + 165*n**2 - 1011*n - 140277. Calculate d(-166).
-7
Let k(n) = 4*n**2 + 774*n - 4356. Calculate k(-199).
22
Let n(k) = 2*k**3 + 79*k**2 - 365*k - 20354. Determine n(-37).
-4
Let d(q) = -8*q**2 - 2606*q - 212083. Give d(-167).
7
Let g(a) = -1045*a - 11311. Determine g(-10).
-861
Let l(s) = -3*s**3 + 437*s**2 + 188*s - 6136. Give l(146).
-4
Let f(i) = -3657*i**2 - 65820*i - 30. What is f(-18)?
-138
Let h(d) = 2026*d + 2889. Determine h(-1).
863
Let t(z) = -152165*z - 5782223. Calculate t(-38).
47
Let g(u) = 5*u**2 - 1355*u - 10929. Determine g(-8).
231
Let w(b) = 4512*b + 45118. Calculate w(-10).
-2
Let g(c) = 4682*c - 107674. What is g(23)?
12
Let p(a) = 2*a**2 + 558*a + 2 | {
"pile_set_name": "DM Mathematics"
} |
ing order.
o, f, 4
Let s = -60 + 69. Sort 3, s, 0 in ascending order.
0, 3, s
Suppose 7 + 8 = 3*d. Put d, -2, 0 in descending order.
d, 0, -2
Let d = -3.8 + 0.8. Let t = d + 3. Let o = -1 - t. Put -2, o, -3 in decreasing order.
o, -2, -3
Let m(v) = v**3 - 22*v**2 - 22*v - 25. Let y be m(23). Sort y, -4, 0 in descending order.
0, y, -4
Let y = 16 + -51. Let h be (-56)/y - (-3)/(-5). Sort -4, -3, h in descending order.
h, -3, -4
Let o = 47 + -44. Let k = -1 + 0. Sort o, k, 5 in decreasing order.
5, o, k
Let b(q) = q**3 + 18*q**2 + 4. Let l be b(-18). Sort l, 1, -1 in decreasing order.
l, 1, -1
Let k(g) = g**2 + 5*g - 6. Let s be k(-6). Let t = s + 5. Suppose 0 = -2*a + 4*a - 2. Put -2, t, a in decreasing order.
t, a, -2
Suppose -2*y = -5*y. Let z(m) = m**3 + 9*m**2 + 10*m + 12. Let t be z(-8). Sort t, 4, y in descending order.
4, y, t
Suppose 17*c = 15*c + 6. Put -4, -1, c in decreasing order.
c, -1, -4
Let w(s) = -s + 1. Let c be (-6 - -1)*12/(-20). Let p be w(c). Put 0, 3, p in decreasing order.
3, 0, p
Let g = -37 + 36.86. Put 4, g, 1 in descending order.
4, 1, g
Let z = 321 + -2251/7. Let h = -5 - -5.3. Let s = -0.05 + 4.05. Sort s, h, z in descending order.
s, h, z
Let i(b) = -b**3 + 6*b**2 + b - 4. Let r be i(6). Sort -2, r, -4 in descending order.
r, -2, -4
Let h = -8 + 11. Suppose -d + 5 = -2*i, 0 = i + 4*d + 5 + 2. Sort -1, i, h in increasing order.
i, -1, h
Let l = 1.4 + -1.6. Put -2, -0.4, l, 3/4 in increasing order.
-2, -0.4, l, 3/4
Let c = 0.006 + 0.094. Let o be 19/(-7) + 4/(-14). Put c, o, -1/5 in decreasing order.
c, -1/5, o
Let o = -18.1 + 17.01. Let p = -0.09 - o. Sort -0.5, 6, p in increasing order.
-0.5, p, 6
Let r = 15 - 12. Sort r, 4, -4/3 in descending order.
4, r, -4/3
Let s be (-2 - -5) + 3 + -5. Let p = -6 - -4. Let w = p + 1. Put s, 2, w in decreasing order.
2, s, w
Suppose -g - s = 4, -4*s = 3*g - 5*s + 12. Sort 1, 2, g in increasing order.
g, 1, 2
Let f = 7 - 24. Let s = 14 + f. Sort s, 1, 2 in descending order.
2, 1, s
Suppose -f + 3*f = -4, -5*f - 10 = -5*u. Let a = 37 - 16. Let t be (-74)/14 - (-6)/a. Put 3, t, u in decreasing order.
3, u, t
Let s = 4 - 0. Let b(n) = n**2 - 3*n - 35. Let f be b(8). Sort f, s, -5.
-5, s, f
Suppose 0*t - 3*t + z + 11 = 0, 2*t = -3*z + 11. Suppose -9 = -5*w + q, -3*w - 3*q + t - 13 = 0. Sort -7, w, 2 in ascending order.
-7, w, 2
Let j(q) = q + 3. Suppose -3 - 27 = 5*r. Let m be j(r). Sort -4, m, 0 in descending order.
0, m, -4
Suppose 4*t + 6 = -6. Let y = 0 + -1. Sort y, -0.4, t in decreasing order.
-0.4, y, t
Let x = -41 + 286/7. Let r = 0.2 + 2.8. Sort r, 2, x.
x, 2, r
Let y = 6.86 - -0.14. Let u = y + -5. Sort 0.2, 2/5, u.
0.2, 2/5, u
Let f(d) = -d - 12. Let t be f(-7). Let r be 86/8 + 3/12. Put 3, t, r in increasing order.
t, 3, r
Suppose -o - o = 8. Put o, -3, 3 in decreasing order.
3, -3, o
Suppose -3*f = -f - 6, 4*f - 3 = -3*t. Suppose 0 = -0*o - 2*o + 8. Suppose v - 7 = 5*v - 3*y, -o*v + 4*y = 8. Sort v, t, -4.
-4, t, v
Let l be ((-2)/(-4))/((-4)/(-24)). Let n(z) be the second derivative of z**4/12 - z**3/2 + z**2/2 - z. Let y be n(2). Sort 2, l, y.
y, 2, l
Suppose -3*g + 20 = -g. Let r be (-1)/(-3) + (-4)/g. Let c = r + -3/5. Sort c, 0.3, 0.2 in decreasing order.
0.3, 0.2, c
Let y be 2/(-9) - 25/9. Let h be (2/4)/(1/(-2)). Put -2, h, y in increasing order.
y, -2, h
Let z be (-6)/3*(-23)/2. Suppose 0 = -4*c + 12, q - 5*q + z = c. Put q, 3, 1 in ascending order.
1, 3, q
Let l be 20/(-30)*(-6)/(-22). Put -5, l, 0.4 in descending order.
0.4, l, -5
Let y(l) = -l**2 + 10*l + 2. Let x be y(10). Let m be (-10)/4*(-3)/(-30). Let v = 0.7 + -0.3. Sort x, v, m in increasing order.
m, v, x
Let g be (-117)/(-26) - (-4)/(2 - 3). Sort -5, -24, g, 4 in increasing order.
-24, -5, g, 4
Let t = 61.2 + -61. Sort 5, -3, t in decreasing order.
5, t, -3
Let w be ((-3)/5)/((-96)/60). Put w, 1, -3 in decreasing order.
1, w, -3
Let a = -0.1322 + 0.0322. Let z = 127 + -1141/9. Put z, -3, a in ascending order.
-3, a, z
Let s = 2.2 + -2.4. Put s, 5, -0.4 in decreasing order.
5, s, -0.4
Let g(k) = 11*k**3 - 2*k**2 + 2*k - 1. Let b be g(1). Put b, 0.5, -5 in descending order.
b, 0.5, -5
Let x = 3 + -6. Let y = 7.1 - 4. Let n = x + y. Sort -3, 3, n in descending order.
3, n, -3
Let k = 0.2 - 0. Let o be (22/(-4) - -3)*-2. Sort 4/3, k, o in decreasing order.
o, 4/3, k
Let z = -1 - -1.5. Let f(c) = 2*c**2. Let g be f(-1). Put z, 2/5, g in ascending order.
2/5, z, g
Suppose -3*z + 5 + 4 = 0. Let l = 0.0087 - 0.0087. Sort -0.1, z, l in increasing order.
-0.1, l, z
Let q = 3 - 5. Let m = -4 - q. Sort 1, 3, m.
m, 1, 3
Let o = 8 + -6. Let d = -4 + o. Sort d, -0.5, -1.
d, -1, -0.5
Let k be 24/51*(-3)/12. Let c = -13 + 12. Sort 1, c, k in decreasing order.
1, k, c
Let d(o) = -2*o**3 - o**2 - o. Let h be d(-1). Let c be 3/(h/(8/(-6))). Sort 4, 0, c.
c, 0, 4
Let y = -1.2 - -2.5. Let a = y + -1. Put 5, -1/3, a in decreasing order.
5, a, -1/3
Let m = -17123219/92 - -186124. Let n = m - 30/23. Let h be 2/(-4)*(6 + -4). Sort n, 2, h in decreasing order.
2, n, h
Let u(v) = v**3 + 4*v**2 + v. Let q be u(-4). Let d = -27 - -14. Let h = d - -18. Put q, h, -2 in decreasing order.
h, -2, q
Let f = -232/3 - -78. Let k = 8 - 11. Sort 2, f, k in decreasing order.
2, f, k
Let j = 7 - -1. Let z = 7.5 - j. Put z, 0, 0.4 in ascending order.
z, 0, 0.4
Let n = 45 + -44.9. Sort -1/5, 2, -1/4, n in increasing order.
-1/4, -1/5, n, 2
Let r = -2 - -1.92. Let q = 16.6 - 20.68. Let a = r - q. Put -0.2, a, -5 in ascending order.
-5, -0.2, a
Let v be 2 + -1 + (-5)/3. Let i = -34 - -47. Let s = i - 13. Sort v, s, -2 in decreasing order.
s, v, -2
Let c = 177 + -1243/7. Sort c, -2/5, -2 in increasing order.
-2, c, -2/5
Suppose 3*z = 84 - 714. Let j = 833/4 + z. Let p = -2 - j. Sort p, -2, -5 in descending order.
p, -2, -5
Let z be -2 - (-2 - (-3 - -2)). Put z, -4, 3 in descending order.
3, z, -4
Let u = -307765/84 + 14605/4. Let y = -37/3 - u. Sort -4, y, 2.
-4, y, 2
Let r = 24 + -24. Sort -1/8, r, 2, 1/4.
-1/8, r, 1/4, 2
Let l = 0.8 - 0. Let d = 1 - l. Let a = 9 - 8.5. Sort d, 1, a.
d, a, 1
Let a be (-2)/(-3) + 2/6. Let w = 2.94 - -0.06. Sort a, w, -1.
-1, a, w
Suppose 5*u - 24 = 3*u. Let d be u*1*(-12)/36. Let l = -2 - -5. Put 0, d, l in decreasing order.
l, 0, d
Let i(u) = -6*u + 5*u - 3*u**3 + 11 + 8*u**2 + 2*u**3. Let f be i(8). Put f, 2, -6 in descending order.
f, 2, -6
Let o = -0.9 + 0.9. Put -8/9, -1, o in decreasing order.
o, -8/9, -1
Let v(w) = -w**2 + 6*w + 7. Let o be v(7). Sort 4, -3, o in ascending order.
-3, o, 4
Let q = -128 + 124. Sort -6, q, -5 in decreasing order.
q, -5, -6
Let u = -10 - -18. Let a = -11 + u. Sort 4, 0, a in descending order.
4, 0, a
Suppose 0 = -5*q + 14 + 1. Suppose -5*s + 10 = 3*u, q*s - 2*s - u = 10. Suppose 4*f - 2*f + 10 = 0. Sort f, -4, s in descending order.
s, -4, f
Let i = -3 - -1. Let c be (48/(-28))/6 - 10/14. Sort 0, i, c.
i, c, 0
Suppose -3*l + 5*l - 5*j = 12, -3*l + 2*j + 18 = 0. Let n(x) = -x + 6. Let t be n(l). Put -2, t, 2 in descending order.
2, t, -2
Let o = -41 + 41. Put o, -4, 2 in descending order.
2, o, -4
Let p be 2/4 - (-20)/8. Let w = -7.2 + 7.6. Sort -3, w, p.
-3, w, p
Let p = 0.229 + -0.029. Put p, 63, -3/5 in decreasing order.
63, p, -3/5
Suppose b = h - 3*h + 6, 0 = 2*b - 5*h - 48. Suppose -b = 2*i - 6. Sort 0, i, 5 in decreasing order.
5, 0, i
Let k(a) = a**3 + 19*a**2 + 19*a + 23. Let b be k(-18). Sort b, 15, -2 in ascending order.
-2, b, 15
Let v = 182 + -2364/13. Let s be (-3)/1*2/(-3). Put v, -2/3, s in decreasing order.
s, v, -2/3
Suppose -8*a - 11 = -43. Sort 1, -50, a in descending order.
a, 1, -50
Suppose -5*n = -2*o, 0 = 3*n - 4*o + 5*o. Suppose 0 = 2*m - 3*m - 2. Sort m, n, 2 in ascending order.
m, n, 2
Let x(m) = m**2 + m - 2. Let w be x(-2). Let i be (-1)/2 - 0 - w. Put -1/3, i, 0.1 in descending order.
0.1, -1/3, i
Let d(h) = -h - 6. Let k be d(-5). Let y be (4/(-56))/((-11)/(-4)). Let w = y + 160/231. Put -5/2, k, w in decreasing order.
w, k, -5/2
Suppose 2 = 3*c - 7. Put c, 2, 0 in decreasing order.
c, 2, 0
Let w = 10 - 8. Let p = w - 14. Let m = p + 17. Sort m, 2/15, 2 in increasing order.
2/15, 2, m
Let b = -0.06 + -0.54. Let w = 0.5 + b. Let g = -17/60 - -1/12. Put w, -2, g in decreasing order.
w, g, -2
Let l = 4.52 + -4. Let v = l + -0.02. Let p = -10 + 10 | {
"pile_set_name": "DM Mathematics"
} |
002202 - 22?
2210101101002110
In base 2, what is -1 - 11111010010011000100?
-11111010010011000101
In base 14, what is 47b97d + -5?
47b978
In base 8, what is -3714 + -23404?
-27320
In base 9, what is -3880 + 5?
-3874
In base 13, what is -25 - -80b1b?
80ac6
In base 3, what is -12 - 2120210111002?
-2120210111021
In base 6, what is 11211 - 104401?
-53150
In base 8, what is 3175 - 11355?
-6160
In base 2, what is 11000111 + -100111110011?
-100100101100
In base 5, what is 141 + 1030421411?
1030422102
In base 14, what is -25b055 - b?
-25b062
In base 13, what is 5 - 3b2c3b0?
-3b2c3a8
In base 2, what is -1000011010000100011101 - -11?
-1000011010000100011010
In base 14, what is 234 + 125b?
1491
In base 6, what is -14 + -100044011?
-100044025
In base 7, what is -14225 - -6425?
-4500
In base 3, what is -210 + -1102112120022022?
-1102112120100002
In base 13, what is b9555 - 3c?
b9516
In base 11, what is -211a33a - 2?
-211a341
In base 9, what is 63568 + 1562?
65241
In base 16, what is 3 + -3f2892f?
-3f2892c
In base 5, what is -2142140 + 14101?
-2123034
In base 8, what is 1172 + 12127?
13321
In base 3, what is 10122101 + -221200?
2200201
In base 5, what is 132330 + 332401?
1020231
In base 3, what is 1122122222001 - -10200?
1122200002201
In base 4, what is -2122113022 + -130?
-2122113212
In base 3, what is -100022122101112 + 10?
-100022122101102
In base 9, what is -84628802 - 0?
-84628802
In base 10, what is -12 + 506057?
506045
In base 16, what is -766c61 - -3?
-766c5e
In base 16, what is -e0c - -3cda?
2ece
In base 4, what is -22 - 110330322100?
-110330322122
In base 3, what is 220001 + -2210001011011?
-2210000021010
In base 9, what is -4753 + -15407?
-21261
In base 13, what is 7a252 - -100?
7a352
In base 3, what is 2201121 + -100100012200?
-100020111002
In base 4, what is -213130301120 + 32?
-213130301022
In base 8, what is 2142574 - -1605?
2144401
In base 9, what is -5 + -8311868?
-8311874
In base 13, what is 1856 - bc8?
95b
In base 7, what is -10 + -155421000?
-155421010
In base 8, what is 2 - 3167623?
-3167621
In base 14, what is 1c5428b + b?
1c54298
In base 3, what is -121202011202 + -1?
-121202011210
In base 13, what is 29 + 8645077?
86450a3
In base 9, what is -5 - -16735224?
16735218
In base 14, what is 11197b - -96?
111a33
In base 7, what is 4 + 22134643?
22134650
In base 16, what is 6 + -623d43?
-623d3d
In base 9, what is 16031 + -651?
15270
In base 11, what is 51a6 + -5318?
-122
In base 8, what is 103 + -74477?
-74374
In base 6, what is -2102 + -4021451?
-4023553
In base 9, what is 111 - 35280?
-35168
In base 15, what is -14 + 56144d?
561439
In base 14, what is 4 + 288b2879?
288b287d
In base 3, what is 11201222100 - -22020?
11202021120
In base 5, what is -3401 - 104214332?
-104223233
In base 15, what is -301 - 51cc?
-54cd
In base 2, what is 1010100011110101 + -10100000?
1010100001010101
In base 12, what is -113 - bb377?
-bb48a
In base 16, what is -15c4 - 9b0?
-1f74
In base 14, what is -334ca35 + 0?
-334ca35
In base 14, what is a79b + -d2?
a6a9
In base 2, what is 1100000011 + -11110101000101?
-11101001000010
In base 4, what is -131202 - -102313132?
102121330
In base 11, what is -4 - -1805740?
1805737
In base 14, what is -12b4 + 261c?
1348
In base 15, what is 1a - -10ee94?
10eeae
In base 3, what is -102011110202012100 + 100?
-102011110202012000
In base 9, what is -216653 + -2?
-216655
In base 10, what is 17640 - 73?
17567
In base 13, what is -14247a - -993?
-1417b7
In base 8, what is -174050 - -12465?
-161363
In base 6, what is -543 + 122125?
121142
In base 15, what is 3166 - 5ab?
2aaa
In base 10, what is -14768 - 52?
-14820
In base 2, what is -1 - 100110001111100010111000?
-100110001111100010111001
In base 14, what is 2 - -10d5bc58?
10d5bc5a
In base 2, what is 1100110010101 - 1000000010110?
100101111111
In base 16, what is 52 + 152c8?
1531a
In base 12, what is -11b7 + 21b2?
bb7
In base 13, what is -1704223 - 2?
-1704225
In base 15, what is 1a9e1 + -126e?
19772
In base 8, what is 7 + -1270320?
-1270311
In base 15, what is -3e - eebbc9?
-eebc18
In base 7, what is 1206 - 160433?
-156224
In base 13, what is 1 - -47457?
47458
In base 10, what is -15057524 - -1?
-15057523
In base 10, what is 560716 - -14?
560730
In base 10, what is 63 + 741426?
741489
In base 14, what is -5c2 + 4485?
3ca3
In base 15, what is 25105 - 3?
25102
In base 8, what is -15141354 - -3?
-15141351
In base 15, what is c11e1 + -432?
c0cae
In base 14, what is 1c04dad - 2?
1c04dab
In base 12, what is -89952 - b?
-89961
In base 2, what is 101 - 101111101101110010110111?
-101111101101110010110010
In base 6, what is 500201502 + 3?
500201505
In base 8, what is -10 - 450240?
-450250
In base 10, what is 9519780 - -5?
9519785
In base 5, what is 4 - 412312344?
-412312340
In base 4, what is -1002121 - 12303?
-1021030
In base 8, what is -37 + 13317436?
13317377
In base 9, what is -162 + 1004408?
1004236
In base 8, what is 51465 + -20766?
30477
In base 5, what is 1233102100210 - -2?
1233102100212
In base 12, what is -5 + 4ab6007?
4ab6002
In base 4, what is 1300332 - -300200?
2201132
In base 8, what is 50227334 + -4?
50227330
In base 3, what is -2120200 - -10200121101?
10121000201
In base 6, what is 25155354102 - 0?
25155354102
In base 11, what is 279 - -78618?
78896
In base 2, what is -1000110 + -110110011001001101101?
-110110011001010110011
In base 11, what is -53010a - 68?
-530177
In base 2, what is -1111001111010 + -101011000111?
-10100101000001
In base 8, what is -2 - -1647105?
1647103
In base 5, what is -200114323 + 1122?
-200113201
In base 10, what is -1029 - -87291?
86262
In base 14, what is c3c255 + 1?
c3c256
In base 13, what is -1638 + -644c?
-7a87
In base 3, what is 1221122220022 + -20?
1221122220002
In base 8, what is -735 + -50430?
-51365
In base 13, what is 76 - 77736b?
-7772c5
In base 13, what is b1223 - -13?
b1236
In base 6, what is 223205 + 1024?
224233
In base 6, what is 3532035 - 45?
3531550
In base 8, what is -7165 - -125615?
116430
In base 12, what is -6b0b86 + -144?
-6b110a
In base 3, what is -2101111 - 12212111?
-22020222
In base 2, what is -1010110111010001 - 10101111?
-1010111010000000
In base 11, what is 15714 - 5372?
10352
In base 2, what is -111100010110110111101010 - -100?
-111100010110110111100110
In base 2, what is -110001100101010001 + -1000000?
-110001100110010001
In base 7, what is -4126 - 12553?
-20012
In base 11, what is -812 + -7497?
-81a9
In base 8, what is -50435247 + -1?
-50435250
In base 4, what is 11032031121120 + 0?
11032031121120
In base 15, what is 52135a - -78?
5213d3
In base 12, what is -11911 - -178?
-11755
In base 14, what is -346a + a275?
6c09
In base 11, what is -34533 - -409?
-34125
In base 2, what is 100001011101101 + -11011011100?
11110000010001
In base 8, what is 4 + -50654616?
-50654612
In base 6, what is 1042 + 3241020?
3242102
In base 4, what is -1020 - 2223312?
-2230332
In base 10, what is 5 + 1207657?
1207662
In base 6, what is -125515340 - -3?
-125515333
In base 16, what is d0c42 + -35d?
d08e5
In base 9, what is 1632134 + -85?
1632038
In base 7, what is 2620635 + 10502?
2631440
In base 5, what is -1032102 + 11243?
-1020304
In base 13, what is 129 + -1a88?
-195c
In base 12, what is 190a + -1a24b?
-18541
In base 16, what is -310f - -279?
-2e96
In base 12, what is 117 + -27992a?
-279813
In base 4, what is -1310313 - 12121?
-1323100
In base 9, what is -5 - 327501465?
-327501471
In base 2, what is 11 + -11001111001111000111010111?
-11001111001111000111010100
In base 14, what is 2352873 - -3?
2352876
In base 14, what is 10693302 - -2?
10693304
In base 4, what is -110 - -22110230?
22110120
In base 6, what is 15323030 + 111?
15323141
In base 5, what is 10 - -2300101121?
2300101131
In base 2, what is -100 + -100011100000001101100000011?
-100011100000001101100000111
In base 6, what is -420015322322 - 2?
-420015322324
In base 10, what is 1293330 - 6?
1293324
In base 16, what is 9 - -234b14?
234b1d
In base 9, what is 20865504 + 56?
20865561
In base 2, what is -111111010000 - -10100011101010?
1100100011010
In base 5, what is 443114303 + -122?
443114131
In base 14, what is -344628 + 34?
-3445d4
In base 14, what is 5 - 6843847?
-6843842
In base 4, what is -23 + 1201010201211?
1201010201122
In base 5, what is -2344 + 102143?
44244
In base 4, what is 3 | {
"pile_set_name": "DM Mathematics"
} |
*3 + q*h**2 + k and give a.
-37
Express (6 - 5 - 4)*(-18 + 11 - 20)*(d + 4*d - 2*d) in the form n + x*d and give x.
243
Express j - 5*j - 49*j**3 - 5*j + 9*j + (5*j**2 - j**2 - 2*j**2)*(3*j - 4*j + 0*j) in the form u*j**2 + c + a*j**3 + d*j and give c.
0
Express -n**3 - 85*n + 133*n**2 + 3 + 96*n - 1 + 2*n**4 - 137*n**2 in the form q*n**2 + i*n**4 + g + x*n**3 + t*n and give x.
-1
Rearrange 110 - 217 + 108 - 205*w to b*w + o and give b.
-205
Express (-2*p + 1 - 1)*(916 - 1842 + 920 + 5*p) in the form h*p**2 + q + j*p and give j.
12
Express 4*r**2 + 21 - 2*r**2 + 8*r - 22 + 0*r in the form o*r**2 + w + v*r and give w.
-1
Rearrange p**2 + 15*p**2 + 0 + 1 + 5*p**2 + 3*p**4 - 3 to v*p + m*p**3 + d*p**4 + t + n*p**2 and give n.
21
Rearrange 3 - 2*k**2 + 3 + 18*k - 35*k + 2 + 18*k to c*k**2 + z + h*k and give c.
-2
Express 10*y**2 - 2*y**2 + 8 + 6*y**2 - y**2 in the form g*y**2 + o + f*y and give o.
8
Express 4 + 24*f**4 + 13*f - 2 - 14*f - 1 in the form t*f**4 + d + i*f**3 + l*f**2 + h*f and give d.
1
Rearrange (-1 - 1 + 5)*(-2 - 4 + 1)*(4*d - 7 - 2*d + 187) to the form h*d + q and give q.
-2700
Express -17*p + 14*p + 1 + 3 in the form w + j*p and give j.
-3
Express (-969 - 1407 + 823)*(0 - 2*c + 0) as s + r*c and give r.
3106
Rearrange -6*j**2 + 12*j**2 - 4*j**2 - 3*j**2 + 0*j**2 + 88*j to the form x*j**2 + f*j + c and give x.
-1
Rearrange -229*x**2 + 112*x**2 + 12*x + 114*x**2 - 1 + 3*x**3 - 2*x**4 to h*x**4 + d + v*x**2 + n*x + i*x**3 and give h.
-2
Rearrange v**2 + v**2 - v**2 - 90 + 2*v - 3*v + 89 + 2*v**2 + (13 - 13 - 4*v)*(v + v - v) to a*v**2 + j*v + i and give j.
-1
Rearrange -3 + 2*d + 3 + 2 + 2*d - 2 + (4 - 4 + d)*(1 + 1 + 2) - 954 + 23*d + 954 + (1 - 1 + 1)*(4*d - d - d) to o*d + g and give o.
33
Rearrange -25*f**2 - 28*f**2 + 66*f**2 - 20*f**2 + 15 - 16*f**2 to q*f**2 + y + s*f and give y.
15
Rearrange -8*s**2 - 2*s**3 - s + 4*s**3 - 2*s**2 - s**4 - 5*s**2 + 20 + 11*s**2 to the form y*s**3 + l*s**4 + u*s + a + b*s**2 and give a.
20
Rearrange 30 - 39*z**3 - 14*z**3 - 61 + 25 to the form w + d*z**3 + j*z + o*z**2 and give w.
-6
Rearrange -20*q + 38*q - 98*q to l + r*q and give r.
-80
Express 318 - 638 + 320 - 235*g as u*g + f and give u.
-235
Express (-3 - 3 + 3)*(-3 - 3 + 0)*((1 - 4 + 1)*(1 + 2*u - 1) + 0*u + 3*u - u) in the form x*u + k and give x.
-36
Rearrange (-9*b + b + b + (0 - 2 + 3)*(-b - 2*b + b))*(0*b + 0*b - 3*b)*(12*b - 9*b + 17*b) to the form u*b**2 + g + a*b**3 + k*b and give g.
0
Rearrange (438*z**2 + 369530 - 369530)*(0*z + 3*z - 2*z**2 - 4*z) to m*z**4 + v + a*z + w*z**3 + k*z**2 and give m.
-876
Express -69*d + 92*d + 89*d in the form c*d + w and give c.
112
Express 5*k - 2*k + 3 + 3*k**2 - k - 5*k in the form q + w*k + d*k**2 and give d.
3
Express (2 + 5*q - 2)*(61 + 106 + 63) in the form s*q + g and give s.
1150
Express (5 + 3 + 3)*(1 - 4 - 4)*(0*p - 4*p + p - 5*p + 0*p + 4*p + (-1 + 4 - 2)*(-3 - p + 3)) in the form i + t*p and give t.
385
Express 15*s + 12 - 7*s + 12*s - 10*s + 15*s in the form g + x*s and give x.
25
Express 2*o**3 - 29*o**3 + 3*o**3 + (18*o**2 + 21*o**2 - 18*o**2)*(-3*o + o + 3*o) as p*o**3 + w + j*o**2 + r*o and give p.
-3
Rearrange -765*t - 142*t - 308*t to s*t + x and give s.
-1215
Express 5 - 1206*b - 1210*b + 2*b**3 - 2*b**2 - b**3 - 3*b**3 + 2403*b as n*b**3 + p*b + z + x*b**2 and give n.
-2
Express -2 - 3*y**3 - 12*y + 4*y + 7 - y**2 + 0*y**2 + 7*y as s*y**2 + j*y + u*y**3 + t and give j.
-1
Rearrange (-71*b - 176*b - 11*b - 18*b)*(-2*b + 4*b - 3*b) to n*b + w*b**2 + t and give n.
0
Rearrange 4*g**2 - 3*g - 2 + 29*g**3 - 5*g**3 - 1 - 23*g**3 to the form l*g**3 + u*g + w + i*g**2 and give i.
4
Rearrange 46 - 2*t**3 + 69*t**2 - 31 - 64*t**2 to x*t**3 + n*t + q + b*t**2 and give b.
5
Express -89*g + 33*g - 56*g - 6*g as k*g + u and give k.
-118
Express (-2 + 6 - 3)*(7 - 3 - 2)*(143*a - 5743 + 5743) as v*a + g and give v.
286
Express 67*i**3 + 6*i + 5*i**3 - 25*i + 3*i + 12*i in the form x*i**3 + f*i + k*i**2 + b and give x.
72
Express 1 - 3*n**3 + 0 + 6*n**3 + 1 - 42*n**2 as x*n**3 + v*n**2 + a + k*n and give x.
3
Express (3 + 3 - 5)*(42*d - 42*d + 96*d**2) - 2*d + 2*d**2 + 2*d in the form u*d**2 + r + j*d and give u.
98
Express 102*i - 6 + 108*i - 333*i + 110*i as x + r*i and give x.
-6
Express 16630*t**2 - 16630*t**2 - 2*t + 550*t**3 as f*t**3 + u*t + s + d*t**2 and give s.
0
Express 23 - 53 + 30 - 114*v - 106*v in the form o + j*v and give j.
-220
Rearrange 3 - 5*i**4 - 3*i**4 - 5*i**2 + 3*i**3 - 4*i**4 + 14*i**4 to o*i**4 + j*i**3 + p + r*i**2 + h*i and give r.
-5
Express 8 - 3*h**2 + 0 - h - 2 + 13 + 11 in the form f*h**2 + x*h + g and give g.
30
Express (7 + 15 + o + 4)*(2*o**2 + o**2 + 4 - 5 + o) as a*o**2 + q*o + d*o**3 + m and give d.
3
Express 3*p**2 - p + 571 + 2*p**4 - 4*p**2 + 2*p**3 - 565 in the form v + q*p**4 + j*p + o*p**3 + m*p**2 and give j.
-1
Rearrange (-9937 + 35*j + 9937)*(9*j + 6 - 11*j - 7) to i + f*j + t*j**2 and give t.
-70
Express 0*h + 21 - h + 41 - 18 in the form v*h + g and give g.
44
Rearrange 4*u**2 + 3 + 2*u + 200*u**4 - 5*u**2 - 202*u**4 + 2*u**3 to o*u + j*u**3 + x*u**4 + r + v*u**2 and give o.
2
Rearrange 0*j**3 - 2*j**2 - 9*j + 3*j**3 - 2*j**3 + 2*j**4 + 6*j - 2 to c*j**2 + k*j**4 + n*j + r + h*j**3 and give c.
-2
Rearrange 2 - 13*b**2 + 211*b - 5 - 210*b - b**4 + 2*b**3 to the form i*b**2 + a*b + u + o*b**3 + k*b**4 and give k.
-1
Rearrange -465*f**2 + 227*f**2 - 3 + 3 to t + q*f**2 + x*f and give q.
-238
Rearrange -2 - 15*o**2 + 7*o**2 - o - 16*o**2 - 25*o**2 - 3*o**3 to the form r*o**3 + i*o + d*o**2 + u and give i.
-1
Rearrange 84*j**3 + 22*j**3 - 9*j + 2*j - 2*j**2 + 5*j to the form f + i*j + o*j**3 + g*j**2 and give i.
-2
Express 0*l**2 + 4*l**2 + 0*l**2 + (-3 + 3 - 2*l**2)*(4 - 2 - 4) + 77*l**2 - 431 + 431 as u*l**2 + a*l + k and give u.
85
Express (263*q + 10*q + 787*q + 93*q)*(-1 + 1 + 4*q**3) in the form l*q**4 + x + n*q**2 + c*q + t*q**3 and give l.
4612
Express -2 + 96*j**2 - 107*j**2 - 9*j**3 - j + 24*j**2 - j**4 + 0 as s*j**4 + v*j**3 + k*j + r + p*j**2 and give p.
13
Rearrange -3*z**4 + 5*z**4 - 3*z**4 + (136*z - 2566 + 118*z + 2561)*(0*z + 0*z - 2*z**3 - 2*z) to the form i*z**4 + d*z**3 + f + k*z**2 + b*z and give b.
10
Rearrange (-4 + 4 + 5*p)*(-5 - 9 + 1)*(20 + 1 - 11) to the form d*p + b and give d.
-650
Express -21*o**3 - 24*o**3 - o**4 + 44*o**3 - o + 0*o - 18 as y*o**4 + x*o**3 + s + u*o + j*o**2 and give y.
-1
Express 21*t + 145 + 148 - 9*t - 110 - 10*t as p + n*t and give p.
183
Express -86*b**2 - 4*b + 4*b - 545*b**2 - 224*b**2 as j + v*b**2 + d*b and give v.
-855
Rearrange -5*b**4 + 2*b**4 + 4*b**4 + (-1 + 1 - 2)*(5*b + 4*b - 4*b)*(-21 + 21 + 22*b**3)*(1 + 1 - 3) to the form c*b**3 + m*b**2 + d + u*b**4 + r*b and give u.
221
Rearrange (2 - 2 + s**2)*(29*s**2 - s - 25*s**2 + 9*s) + 219*s**3 + s**4 - 219*s**3 to the form h + w*s**2 + t*s + b*s**4 + k*s**3 and give k.
8
Express -95*z**3 - 89*z**3 + 184*z**3 + 9 - 7 - 15*z - 2*z**4 in the form k*z**2 + u*z + l + q*z**3 + o*z**4 and give l.
2
Express (12*k + 2*k - 15*k)*(0 + 0 + 1)*(-8 - 6 + 4) as i + f*k and give f.
10
Express 760*v + 103 + 88 - 191 in the form t*v + l and give t.
760
Express -44*o + 21*o + 2 - o**2 + 2*o**3 + 24*o + 4 in the form k + b*o + j*o**3 + q*o**2 and give b.
1
Rearrange -17*o**3 + 8*o**3 + 3*o**4 - 2 + 9*o + 1 - 4*o + 8*o**3 to k*o + f*o**2 + j*o**3 + y + x*o**4 and give y.
-1
Express 757*f**2 - 23*f + 23*f - 364*f**2 in the form z + q*f**2 + w*f and give q.
393
Express -123*h**2 + 185*h - 66*h - 59*h - 60*h as b + x*h**2 + m*h and give x.
-123
Rearrange ((1 + 1 - 1)*(-2 + 0 + 1) + 496 - 224 + 461)*(-19*q - 3*q**2 + 19*q) to l*q + c + o*q**2 and give o.
-2196
Rearrange -3 + 3 + 9*l**2 + (4*l**2 + l**2 + 0*l**2)*(0 + 2 + 1) to the form a*l + p + u*l**2 and give u.
24
Rearrange (-22*w**2 + 14*w**2 + 6*w**2)*(-102*w**2 - 105*w**2 + 205*w**2 - 25) to the form q + x*w**3 + v*w**4 + i*w + o*w**2 and give o.
50
Express (-6 + 248*r**3 + 6)*(1 - 1 + 1)*(-3*r - 2*r + r) in the form l*r + g*r**2 + p*r**3 + x + w*r**4 and give w.
-992
Rearrange (-4 + 4 + m)*(316*m + 38*m - 680*m) + 5*m**2 - 6*m**2 + 0*m**2 to the form k + u*m**2 + x*m and give u.
-327
Rearrange 25*r - 9*r - 128*r**2 + 12*r**2 + 1 + 1 - 17*r to n + v*r**2 + f*r and give v.
-116
Rearrange 226*a**2 - 5 | {
"pile_set_name": "DM Mathematics"
} |
*b = -g - 2*b + 133. List the prime factors of g.
5
Let s(h) = -119*h - 103*h + 76 - 107*h + 327*h. Suppose 2*o = o - 27. What are the prime factors of s(o)?
2, 5, 13
Suppose 3*k = 12*k - 531. What are the prime factors of 1*679 + (61 - k)?
3, 227
Let z = -101 + 113. Suppose 167 = d - 5*j, -13*j + z*j - 5 = 0. What are the prime factors of d?
2, 71
Suppose -3*a + 5 = -1. Let f be 3 + -5 + (-6 - -14) + -3. Suppose 97 = -a*s + f*s. List the prime factors of s.
97
Let a(q) = -q**3 - 2*q**2 - 16*q - 5. Let p be a(-5). Suppose 837 - p = 3*k. List the prime factors of k.
229
Suppose -5*p = -2889*w + 2885*w - 153208, 0 = -2*p - 3*w + 61297. What are the prime factors of p?
2, 47, 163
Suppose 9*q + 8 = -2*p + 5*q, 0 = p + q + 2. Suppose 682 = 11*g - p*g. Let v = 161 - g. List the prime factors of v.
3, 11
Let k be -1 + 7 + 4/(-1). Let j(t) = -14*t + 5 + 11*t**2 - k*t**3 + 0*t**3 - 4*t**3 + 7*t**3. List the prime factors of j(-12).
29
Let m(g) = -3*g + 155. Let q = 132 - 117. What are the prime factors of m(q)?
2, 5, 11
Let c = -8620 - -19486. What are the prime factors of c?
2, 3, 1811
Suppose 2*z - 5*m + 922 = 0, -4*z = -5*z + 4*m - 455. Let v = -205 - z. List the prime factors of v.
2, 7, 19
Suppose 126 = 8*o - 762. Suppose -1708 = o*b - 113*b. List the prime factors of b.
2, 7, 61
Let f = 592 + -590. What are the prime factors of 673 - (-10 + 2 + f)?
7, 97
Let t = 5 - 1. Suppose x = -9 + 13. Suppose 3*y = -t*c - 60 + 253, x*c - 122 = -2*y. List the prime factors of y.
71
Let x = -112 - -114. Let f(o) = 16*o + 7 - 3*o**2 + 8*o**2 - 15 + 7*o**x. What are the prime factors of f(-5)?
2, 53
Let p(j) = -1897*j + 357. List the prime factors of p(-7).
2, 7, 487
Suppose 19*q + 41*q = 159772 + 410048. What are the prime factors of q?
9497
Let w be ((-30)/25)/(6/(-30)). Let o be (-2)/3 + 22/w. Suppose 2*u + o*z = 356, -z - 2*z = -3*u + 564. List the prime factors of u.
2, 23
Suppose 4*h - 682 - 450 = -2*c, 0 = -5*c + 2*h + 2818. List the prime factors of c.
2, 3, 47
Let x(m) = m**3 + 66*m**2 - 932*m - 23. List the prime factors of x(16).
3, 673
Let h(g) = g**2 - 23*g + 2560. What are the prime factors of h(52)?
2, 3, 113
Let z(i) = 2*i**3 - 24*i**2 - 24*i + 60. Let d be z(14). What are the prime factors of 2 + d + (47 - 46)?
7, 73
Let i(z) = 24*z - 11. Let k be i(1). Suppose 116 = k*u - 339. What are the prime factors of u?
5, 7
Let v = -9195 + 10528. What are the prime factors of v?
31, 43
Let t(b) = -5*b**2 + 41*b - 5. Let z be t(8). Suppose -1551 = -3*o + 3*s, -4*s + 3*s = -z*o + 1549. What are the prime factors of o?
2, 3, 43
Let z(u) = -15*u - 4. Let k(b) = -b**2 - 2*b - 9. Let a be k(-3). Let w = a - -10. What are the prime factors of z(w)?
2, 13
Suppose 2*t = -h + 8 + 12, 2*h = 0. Suppose 4*v = -3*n + 403, -t*n + 7*n + 500 = 5*v. What are the prime factors of v?
97
Let d = 1755 + -1703. What are the prime factors of d?
2, 13
Let y be -3 - (-3 - (-13)/4)*-4. Let r be (-1 - -112)/1 - (y - -3). List the prime factors of 8/2 - (-2 - 3 - r).
7, 17
Let d = -99 - -87. Let l(p) = -30*p - 11. What are the prime factors of l(d)?
349
Let a(q) = q**2 + 23*q - 23. Let u be a(-12). Let s = u + 343. Let v = s + -95. List the prime factors of v.
3, 31
Let y be (179/2)/((-1339)/(-338) + -4). Let i = -1191 - y. List the prime factors of i.
2, 71
Suppose -2*c - 595 = 1055. Let m = c - -1301. What are the prime factors of m?
2, 7, 17
Let t = 21 - 3. Let l be -1 + 2 + 1 + t. Let h = l + 69. List the prime factors of h.
89
Let u(f) = -f**3 - 26*f**2 - 61*f - 23. Let r be u(-24). Suppose 5*w = 3*j + r, -27*w + 23*w = -3*j - 230. What are the prime factors of w?
59
Let r(y) = -y**2 - 2*y. Let v be r(-1). Let n be 2/(v/(9/6)) + -10. What are the prime factors of (15 + -1)*(-18)/n?
2, 3
Let c = 1908 + 12944. What are the prime factors of c?
2, 47, 79
Let h(b) = 3*b**2 - 15*b + 54. Let z be h(17). Let x(p) = -54*p**3 - p**2 - 2*p - 3. Let g be x(-2). Let y = z - g. List the prime factors of y.
3, 79
Let f(a) = 11683*a**2 - 56*a + 4. What are the prime factors of f(1)?
3, 3877
Let j(d) = -d**3 + 23*d**2 - 75*d - 25. Let c be j(19). Let a(f) = -248*f - 98. List the prime factors of a(c).
2, 5, 139
Suppose 0 = -6*q + 210 - 198. Suppose 12*y = -q*i + 16*y + 1358, 3*i - 2037 = 3*y. List the prime factors of i.
7, 97
Let r = -10 - -209. Suppose -r = -u + 172. List the prime factors of u.
7, 53
Let r(y) be the second derivative of -y**5/20 + 11*y**4/6 + 7*y**3/2 + 47*y**2/2 - 21*y. Let t be r(23). What are the prime factors of (112 - 1) + 8/(4/t)?
113
Suppose 4 = 2*a - k, 4*a - 8 - 4 = 4*k. Let f be (5/(-5) + (4 - a))*1. Suppose 44 = 6*d - f*d. List the prime factors of d.
11
Suppose -4*r + 3*c - 29 = -2*c, -3*c = -15. List the prime factors of ((-1)/(-4) + 8)/(r/(-12)).
3, 11
Suppose -16*m + 11*m + 20 = 0. Suppose 5*t - 3*g = 11, 9*t = 4*t + m*g + 8. List the prime factors of (42/t)/(2/4).
3, 7
Suppose -5*a + 2727 + 3113 = 0. Suppose 0*u - 4*u + a = 2*r, 1196 = 4*u - 5*r. List the prime factors of u.
2, 3, 7
Suppose -57*z + 33*z + 4570995 = 119*z. List the prime factors of z.
3, 5, 2131
Let z = 78 - 75. Let l(v) = -z*v + 118 - v + 11. List the prime factors of l(0).
3, 43
Let t(q) = 29*q**2 + 55*q - 157. Let x(o) = -43*o**2 - 84*o + 235. Let d(z) = 8*t(z) + 5*x(z). What are the prime factors of d(5)?
2, 3, 37
Suppose 0 = -5*p + 104 + 166. Suppose i - p = -2*i. List the prime factors of 4/(-6) + 2046/i.
113
Let k(i) = -2*i**2 + 44. Let c = 26 - 17. Suppose -5*t - 2*v + 10 = 0, -c - 6 = -3*v. List the prime factors of k(t).
2, 11
Suppose -4*u = 3*p - 97317, -4*u - 5*p = -100323 + 3000. What are the prime factors of u?
3, 17, 53
Let v(b) = -20*b + 24. Let f(o) = o**3 - 8*o**2 + 5*o - 36. Let j be f(8). Suppose -38 + 14 = j*l. What are the prime factors of v(l)?
2, 3
Let n be ((-4602)/91)/((-1)/(-7)). Let i = -268 - n. What are the prime factors of i?
2, 43
Suppose 3*i = 27 + 33. Let g be (-5*(-4)/i)/(0 + 1). Suppose 3*x + 543 = 4*o, 2*x + g + 1 = 0. What are the prime factors of o?
3, 5
Let b(w) be the second derivative of 14*w**4/3 + 4*w**3/3 + 11*w**2/2 + 4*w - 2. List the prime factors of b(-2).
3, 73
Let u(o) be the third derivative of o**5/30 - 7*o**4/24 - 2*o**3/3 + 20*o**2. List the prime factors of u(13).
3
Let r be 24/(-30)*11235/(-6). Let c = -1014 + r. List the prime factors of c.
2, 11
Let s = 7 + -4. Let w(y) = y**3 + 14*y**2 + 2. Let z be w(-14). Suppose -4*g - z = -0*m + s*m, -2 = m + 2*g. List the prime factors of m.
2
Suppose -f = r + 556, 2*r + 1669 = -3*f - 0*f. Let u be (-21 - -22)*(3 + -2 + f). What are the prime factors of (24/(-9))/(-1 + u/(-564))?
2, 47
Let q(y) = 8*y - 7 + 19 - 26. Let o be q(3). Let v = o + 32. List the prime factors of v.
2, 3, 7
Let a be (-469*3/(-6))/(4/8). Let h(w) = 3*w + 9. Let f be h(8). Suppose 2*p - a = -f. What are the prime factors of p?
2, 109
Let f(k) = 52*k - 38. Suppose 4*b + 16 - 18 = 2*w, 25 = 5*w - 4*b. List the prime factors of f(w).
2, 5, 43
Let m(t) = 9950*t - 270. What are the prime factors of m(1)?
2, 5, 11
Let f = 13284 - 8695. List the prime factors of f.
13, 353
Suppose -5*d - 12*d = 0. Suppose x - 1434 = -4*m - x, d = -3*m - 4*x + 1063. List the prime factors of m.
19
List the prime factors of 6850 - 5*16/(-40)*1.
2, 3, 571
Let b be 3/(-5) + 24/40. Suppose 0*c = -c - o - 8, -5*c - 4*o - 36 = b. List the prime factors of (-18)/(-3) + c + -3 + 116.
5, 23
List the prime factors of 44*(-3 - -1416 - (35 + -39)).
2, 11, 13, 109
Let o = 2454 - 3622. Let g = o - -1664. Suppose -6*p + 3*p - 2*i = -g, -i = 3*p - 497. What are the prime factors of p?
2, 83
Suppose -v = 5*d - 0*d - 2, 0 = -4*v - 3*d - 9. Let x(h) = 122*h**2 + 36*h + 2. What are the prime factors of x(v)?
2, 31
Let z(s) = 16*s + 610. Let b be z(0). Let n = b + 1234. What are the prime factors of n?
2, 461
Let r(m) = m**3 + 4*m**2 - 23*m - 11. Let g be r(-7). Suppose -1953 = -0*z - g*z + 3*a, 0 = -4*z - a + 2589. List the prime factors of z.
2, 3
Suppose -4*b - 4*j + 7510 = -19182, 3*b - 20043 = 3*j. What are the prime factors of b?
11, 607
Suppose -4 = -r, 0*r = m + 2*r - 19. Suppose 1748 - 527 = m*u. What are the prime factors of u?
3, 37
Let x = -46 - -70. Suppose 249 = 3*v - x. Let y = v - 34. List the prime factors of y.
3, 19
List the prime factors of (18 | {
"pile_set_name": "DM Mathematics"
} |
-8*p**3 + 3*p**2 + 5*p + 4. Let a(k) = -k**3 - k**2. Let n(v) = -6*a(v) + g(v). Let o be n(5). Solve -20 = -i - o*i for i.
4
Suppose 216*r - 219*r + 12 = 0. Solve 2*l + 2 = r for l.
1
Let y(x) = -55*x**3 + 2*x**2 - 2*x - 3. Let m be y(-1). Let f = -46 + m. Let d = -7 - -10. Solve -d*s = -8*s + f for s.
2
Let l(p) = -p**3 - 6*p**2 - 2*p - 11. Let x be l(-6). Let d be (-6)/(-6) - (-18)/(2 + x). Solve c = -d + 5 for c.
-2
Let w = -65 - -67. Solve 3 = n + w*n for n.
1
Suppose 0 = u - 2*m - 277 + 276, 34 = 4*u - 2*m. Solve u*o = 6*o for o.
0
Suppose 7*u = 2*z + 8*u - 2, 3*z + 4*u = 8. Solve z*i - 25 = -5*i for i.
5
Let z = 276 + -274. Suppose 16 = -2*n - 4*p, -4*n - p = -6*p - 20. Suppose -c = u + 1, n = -z*c + 5*c + 12. Solve 0 = -4*m + u*m for m.
0
Let p be 61/5 - 1/5. Let i = -12 + p. Suppose i = -0*z + 2*z - 4. Solve -z = 4*d + 18 for d.
-5
Suppose -5*a + 8 + 7 = 0, 27 = -5*c - a. Let w be c*8/(-6)*2. Let d be (-120)/(-21) - (1 + 36/(-28)). Solve -2*y + w = d for y.
5
Let r = 1695 - 1695. Solve r = 8*n - 9*n - 4 for n.
-4
Let n(x) = x**2 - 7*x - 5. Let d(y) = y**2 - 8*y - 4. Let p(t) = -4*d(t) + 5*n(t). Let q be p(6). Suppose b - q = 3*f, -f - 1 = -2*f. Solve -w - b = 2*w for w.
-4
Suppose 5*k - 19 = -i, -3*k + 4*i = 8*i - 25. Let d = 806 - 796. Solve k*w + 2*w - d = 0 for w.
2
Let j(a) = 3*a + 26. Let o(d) = -1. Let z(p) = -j(p) - 3*o(p). Let w be z(-8). Solve 6 - w = n for n.
5
Let y be (-4 - 3)/1*(-150)/70. Solve 2*m - 5*m - y = 0 for m.
-5
Let u be 1 - (-186)/(-8) - 5/(-20). Let s = -19 - u. Solve s*b - 2*b = -5 for b.
-5
Let u(j) = -j**3 + 5*j**2 + 16*j - 12. Let y be u(7). Let n(f) = 0*f**3 + 2*f**3 - f**3 + 2*f - f**2 - 3*f**2 - 6. Let c be n(4). Solve 2 = -c*k - y for k.
-2
Let q be (-9)/12 + (-23)/(-4). Suppose 5*j = -4*p + 82, 0*p + q*j - 46 = -2*p. Let c = 21 - p. Solve -4*w = -c*w for w.
0
Suppose -i = -4*y - 4, -5*i + 4*y + 1 = 3*y. Suppose -8*g + 5*g + 9 = i. Solve -g*x + 12 = x for x.
3
Let p be ((-138)/115)/(2/(-10)). Solve 0 = -2*f - p*f - 32 for f.
-4
Let v(i) = -2*i**3 + 0*i + 9*i + 16 + 3*i**3 + 8*i**2 - 1. Let z be v(-7). Let j(l) = 28*l**3 + l - 1. Let y be j(z). Solve 4*c - 8 = -y for c.
-5
Suppose 2 = 3*z - h + 3*h, 5*h = -4*z - 9. Solve -z*k + 15*k = -22 for k.
-2
Let p = -709 + 712. Suppose 0*h = -3*h + 3. Solve h = -t + p for t.
2
Let i(x) = x**3 - 31*x**2 + 30*x + 8. Let s be i(30). Suppose 0 = o + 3*n - 9, 2*o - 6 = 5*n - 21. Solve -5*t - 23 + s = o for t.
-3
Let q(u) = u + 2. Let o(g) = 6*g - 15. Let x be o(5). Let w = 17 - x. Let h be q(w). Solve h*n = n - 15 for n.
-5
Suppose 2*a + 10 = 0, -2*a = -p - 3*p + 38. Solve p*t = 6*t - 4 for t.
-4
Let j(g) = -g + 10. Let h = 21 - 9. Let s(m) = -m + 17. Let x be s(h). Let c be j(x). Solve 0 = c*u - 15 - 0 for u.
3
Let f = -25 - -30. Suppose -f*o + 3 = -4*o. Solve 0*z + z = -o for z.
-3
Let p = 3 - -5. Suppose -5*r + 3*u = -9, -u + 0*u = -2. Solve -r*a = -a - p for a.
4
Let y = -1156 + 1174. Solve 2*o + 4*o = -y for o.
-3
Suppose 3*o + 6*u = 3*u, 0 = 4*o + 3*u - 2. Let j be (o/24*2)/((-13)/(-78)). Solve -5 + j = -2*c for c.
2
Let o = 52 + -50. Let d = 2 + o. Solve 2*u + 4 = d*u for u.
2
Suppose 2*q + 3*t = -q - 6, 0 = 3*q - 4*t - 8. Solve 5*b - 2*b - 6 = q for b.
2
Suppose 3*j + 0*i - i = 35, -2*j = i - 25. Let m(c) = 4*c - 24. Let v be m(j). Solve 9 - v = -5*t for t.
3
Let k be ((-40)/(-52))/5 - (-1068)/156. Solve 0 = 3*a - k - 5 for a.
4
Let x(h) = 94*h - 704. Let w be x(8). Solve w = 4*a + 52 for a.
-1
Let k(d) = 11*d - 205. Let z be k(19). Solve 0 - 12 = z*u for u.
-3
Let z(j) = -j + 24. Let m be z(16). Let s be (6/m)/((-38)/(-16) + -2). Solve 3*y = s*y for y.
0
Let d be (15 + (-1518)/88)/((-1)/8). Solve 12*w - 18 = d*w for w.
-3
Suppose 155 = 130*v + 25. Solve 83 = 21*w - v for w.
4
Suppose -623*j = -628*j + 400. Solve 0 = -14*c + j - 10 for c.
5
Suppose -l = -2*c + 2, 3*l + 1 = 4*c - 3*c. Suppose 5*v + 5*i - 27 - 3 = l, -3*v = 2*i - 21. Solve 0*z = -3*z - v for z.
-3
Let d = -162 + 120. Let b be -24*(3 - d/(-12)). Solve 0 = -2*x - x + b for x.
4
Let p be 26/8 - ((-296)/(-32) - 9). Solve -p*h = -2*h + 5 for h.
-5
Let n(f) = f**2 + f + 1. Let t(r) = 5*r**2 + 7*r + 1. Let g(a) = 4*n(a) - t(a). Let h be g(-7). Let k be 4/5 + 20/h. Solve 2*y - 3 - 1 = k for y.
2
Let p(a) = -a**3 + 15*a**2 + 12*a + 76. Let y be p(16). Solve -55 = v - y*v for v.
5
Let z(w) = -w**2 + 24*w + 5. Let l be z(24). Suppose 4*d + l*r = 27, -7*r + 3*r + 15 = d. Solve -k + d*k = 2 for k.
1
Let l = -938 - -944. Solve -l - 2 = 4*f for f.
-2
Suppose 48 = 96*q - 90*q. Solve 0 = 3*t - q + 11 for t.
-1
Let w be (9/2)/((-13)/78). Let v = -25 - w. Solve v*n - 16 = 6*n for n.
-4
Let w be 1/(1/2)*2. Suppose 5*g + 9 = s + 2*g, 2*g = -2. Solve -s = w*l - 2 for l.
-1
Let d(b) = -b**2 - 18*b - 11. Let l be d(-17). Suppose 0 = 21*u - 22*u - l. Let p(q) = -q**3 - 7*q**2 - 8*q - 2. Let x be p(u). Solve -2*v + x = 4 for v.
3
Let w = -587 + 595. Solve w = -d + 12 for d.
4
Suppose -n - 6 = h + 3*h, 3*n = -2*h + 2. Let d(t) = -4*t - n - t**2 + 1 - 2*t. Let u be d(-5). Solve -13 = 3*v - u for v.
-3
Let r(h) = -h**2 - 3*h - 2. Let t be r(-2). Suppose -2*c + 16 = -t. Suppose -6*o = -7*o + c. Solve 0 = -0*i - 2*i + o for i.
4
Suppose -11*l + 17 = -126. Suppose -8*o - 15 = -l*o. Solve -o = -j - 0 for j.
3
Let a(w) = w**3 + 38*w**2 - 5*w - 9. Let l be a(-38). Solve 169 = -4*b + l for b.
3
Let n = 18 + -14. Suppose n*f + 0 - 12 = 0. Suppose -5*q + 25 + 15 = 0. Solve i - q = -f for i.
5
Let o(x) = -4*x + 108. Let a be o(27). Solve a = -j + 4*j + 12 for j.
-4
Suppose 2*o = -4*o + 36. Suppose -1 + o = 3*w - 2*q, -4*q = 4. Solve 2*l - w - 1 = 0 for l.
1
Let u = 18 - 16. Let z be u*4 + -16 + 13. Solve 16 = -v + z*v for v.
4
Suppose b = 4*z - 2 - 7, 2*z + b = 3. Let s be -3*4/(-6) + 0. Suppose 20 = y - 3*v, 0 = -3*v + 4 - 16. Solve s*j - z = y for j.
5
Suppose 20 = -4*d - 8. Let b(z) = 10 + 15*z**2 + 8*z - 23*z**2 + 16*z**2 + z**3. Let p be b(d). Solve w + p*w = -8 for w.
-2
Let g(c) = -2 - c**3 + 8 - 7*c**2 - 5*c + 3. Let z be g(-6). Suppose -z*w - 2*j = 1, 3*w + 3 + 2 = -4*j. Solve 1 + w = d for d.
2
Let k be (-5)/(-2)*((-12)/(-30) + 2). Let r(n) = 7*n + 4. Let g be r(3). Solve w - g = k*w for w.
-5
Let u(z) = z**2 + 4*z + 1. Let o(s) = s**2 - 4*s - 8. Let m be o(6). Suppose -4*h - 27 = m*b + 5, -2*h + b - 4 = 0. Let x be u(h). Solve 14 = 3*d - x for d.
5
Suppose -3*j - 70 = 26. Let h = j - -35. Solve h + 3 = -2*z for z.
-3
Suppose -2*d + 4*t + t = -1, 4*t = -12. Let x(k) = k**2 + 8*k + 11. Let g be x(d). Solve g*h + 3 = h for h.
-1
Let a = 1054 + -1054. Solve -4 = 2*p - a*p for p.
-2
Suppose -x = -4*r + 313 + 37, -5*r - 5*x = -425. Suppose -8 = 2*d, -4*d = -5*k - 26 + r. Solve -3 = -4*q + k for q.
3
Suppose -q = -12*q - 44. Let m be (-2 - (4 - 1)) + 0. Let l be 9 + m + q/1. Solve z - 2*z = l for z.
0
Suppose 18*y = 733 - 571. Solve 1 + y = -2*s for s.
-5
Let k(b) = -b**2 + 15*b - 34. Let m be k(3). Solve m*i + 2*i - 5*i = 0 for i.
0
Let l be (-12)/8 + 3/2. Suppose 12*w - 5 = 55. Solve l = w*h - h - 20 for h.
5
Suppose o + 4*k = -0*o + 76, -2*k = 3*o - 188. Suppose 3*s - 24 = -3*h + 12, 5*h + 2*s = o. Suppose -3*j + h = -3. Solve j*f - f + 4 = 0 for f.
-1
Let x(s) = 36*s + 74. Let p be x(-2). Solve p*q - 1 = -3 for q.
-1
Let t(a) = 2*a - 12. Let f be t(9). Let p = 8 - f. Solve 0 = p*s + s - 15 for s.
5
Suppose 73*o + 29*o - 10404 = 0. Solve -107*u = -o*u for u.
0
Let p = -7 - -3. Let t(l) = -5*l - 9. Let g(c) = -6*c - 8. Let b(w) = 3*g(w) - 4*t(w). Let q be b(p). Solve q*k + 20 = -k for k.
-4
Suppose -5*t = -3*w + w - 11, -4*t - 2*w = 2. Let l(j) = -3 + 7*j + 0 + 2. Let p be l(t). Solve -3*u - p + 0 = 0 for u.
-2
Let s(o) = o**3 - 8*o**2 + 10*o - 6. Let i be s(6). Let b be 8/36 - (-4)/i. Solve -5*z + b = -10 for z.
2
Let b = 89 + -93. Let u(r) = -3*r - 9. Let v be u(b). Solve 5*y = 2*y - v for y.
-1
Suppose i + 3*i = 4*p + 100, 2*p = i - 23. Let g = -27 + i. Solve -r + 0*r + 4 = g for r.
4
Let w = 127 + -123. Suppose -4*y + 14 = -4*n - 6, -w*y + 13 = 3*n. Solve -5 = s - y for s.
-1
Let f(p) = 9*p - 3 - p**3 - 9*p**2 + 1 + 3 - 8. Let u be f(-10). Solve 0 = -u*x + 5 + 1 for x.
2
Let a(w) = w**3 + 14*w**2 + 11*w - 22. Let g be a(-13). Suppose 4*f + g*d - 27 - 1 = 0, 8 = 2*d. Solve 2*n - 7 = -f for n.
2
Let q = -3 - -7. Suppose - | {
"pile_set_name": "DM Mathematics"
} |
- 492*f - 12 = 0 for f.
-2/41
What is t in 64*t**2/3 + 544*t + 3468 = 0?
-51/4
Suppose -98*o**5 - 3668*o**4 - 1310*o**3 + 8908*o**2 - 4424*o + 592 = 0. What is o?
-37, -2, 2/7, 1
Find u such that -27*u**3 + 39*u**2 + 42*u - 24 = 0.
-1, 4/9, 2
Factor 3*u**4/2 - 12*u**3 + 27*u**2 - 24*u + 15/2.
3*(u - 5)*(u - 1)**3/2
Factor 18*m**5 + 48*m**4 + 85*m**3/2 + 25*m**2/2.
m**2*(m + 1)*(6*m + 5)**2/2
Let -a**4/11 + 2*a**3 - 168*a**2/11 + 512*a/11 - 512/11 = 0. Calculate a.
2, 4, 8
Let n**3/4 + 32*n**2 - 129*n/4 = 0. What is n?
-129, 0, 1
Determine g, given that g**2/6 - 85*g/3 + 7225/6 = 0.
85
Solve -40*v**5/9 - 46*v**4/9 + 26*v**3/3 + 16*v**2/9 - 8*v/9 = 0 for v.
-2, -2/5, 0, 1/4, 1
Determine u so that 3*u**5/2 + 59*u**4/10 - 3*u**3/5 - 4*u**2/5 = 0.
-4, -1/3, 0, 2/5
Let -27*j**3 - 858*j**2 + 5187*j - 1110 = 0. What is j?
-37, 2/9, 5
Factor y**2 + 41*y + 40.
(y + 1)*(y + 40)
Factor -v**3/2 - 7*v**2/2 - 7*v/2 + 15/2.
-(v - 1)*(v + 3)*(v + 5)/2
Determine p, given that -2*p**2/5 - 1772*p - 1962490 = 0.
-2215
Factor 2*u**3 + 6*u**2 + 4*u.
2*u*(u + 1)*(u + 2)
Suppose -4*n**2 - 60*n = 0. What is n?
-15, 0
Let -2*g**3/13 - 14*g**2 - 4048*g/13 + 4232/13 = 0. Calculate g.
-46, 1
Determine b so that -3*b**5 + 69*b**4 + 147*b**3 + 75*b**2 = 0.
-1, 0, 25
Factor -n**3/2 - 67*n**2/2 - 382*n + 416.
-(n - 1)*(n + 16)*(n + 52)/2
Solve 5*a**4/9 - 8*a**3/3 - 2*a**2/3 + 80*a/9 + 19/3 = 0 for a.
-1, 3, 19/5
Factor -2*z**5 + 2*z**4 + 10*z**3 + 6*z**2.
-2*z**2*(z - 3)*(z + 1)**2
Let -25*v**5 - 685*v**4 - 5420*v**3 - 9860*v**2 - 3120*v = 0. Calculate v.
-13, -12, -2, -2/5, 0
Factor 4*v**5 - 28*v**4 - 36*v**3 + 252*v**2.
4*v**2*(v - 7)*(v - 3)*(v + 3)
Factor 22*v**2 + 94*v + 24.
2*(v + 4)*(11*v + 3)
Factor b**3/2 + 3*b**2 + 9*b/2.
b*(b + 3)**2/2
Factor -h**4/5 + h**3/5 + 6*h**2/5 - 4*h/5 - 8/5.
-(h - 2)**2*(h + 1)*(h + 2)/5
Determine a so that 2*a**4 - 24*a**3 + 22*a**2 = 0.
0, 1, 11
Find x, given that 3*x**2/7 - 27/7 = 0.
-3, 3
Determine p so that -p**2/5 + 31*p/5 - 6 = 0.
1, 30
Factor 3*o**3/4 + 2673*o**2/4 + 793881*o/4 + 78594219/4.
3*(o + 297)**3/4
Determine w, given that 9*w**3 + 18066*w**2 + 9060096*w - 6048096 = 0.
-1004, 2/3
Factor -12*y**3 - 176*y**2 - 112*y.
-4*y*(y + 14)*(3*y + 2)
Solve -2*r**5 + 11*r**4 - 12*r**3 - 9*r**2 = 0.
-1/2, 0, 3
Factor -5*w**2 - 2225*w + 4470.
-5*(w - 2)*(w + 447)
Solve o**2/2 - 59*o/2 + 29 = 0 for o.
1, 58
Let -2*p**4/11 - 46*p**3/11 - 360*p**2/11 - 1184*p/11 - 128 = 0. Calculate p.
-11, -4
Factor 4*u**3 - 2424*u**2 + 369648*u - 729632.
4*(u - 302)**2*(u - 2)
Suppose -4*u**4 - 24*u**3 + 4*u**2 + 24*u = 0. Calculate u.
-6, -1, 0, 1
Let -z**4/6 + 3*z**2 - 16*z/3 + 5/2 = 0. What is z?
-5, 1, 3
Let -b**5/3 - 67*b**4 + 205*b**3/3 + 601*b**2/3 - 336*b + 404/3 = 0. What is b?
-202, -2, 1
Factor -r**3/2 - 7*r**2/2 - 5*r.
-r*(r + 2)*(r + 5)/2
Let -o**5/2 - 41*o**4 + 89*o**3/2 + 247*o**2 - 170*o - 332 = 0. What is o?
-83, -2, -1, 2
Factor -2*c**3 - 4*c**2 + 142*c + 144.
-2*(c - 8)*(c + 1)*(c + 9)
Factor 3*r**3/7 - 846*r**2/7 - 2559*r/7 - 1710/7.
3*(r - 285)*(r + 1)*(r + 2)/7
Solve -5*m**3/3 + 65*m**2/3 = 0.
0, 13
Determine n so that 2*n**5/11 - 12*n**3/11 - 16*n**2/11 - 6*n/11 = 0.
-1, 0, 3
Find g such that g**5 + 26*g**4 + 24*g**3 - 26*g**2 - 25*g = 0.
-25, -1, 0, 1
Let -q**3 - 28*q**2 = 0. Calculate q.
-28, 0
Factor -4*a**3 - 2024*a**2 - 4020*a + 6048.
-4*(a - 1)*(a + 3)*(a + 504)
Solve 3*h**5/7 - 9*h**4/7 - 9*h**3 + 141*h**2/7 + 360*h/7 - 432/7 = 0.
-3, 1, 4
Determine j so that j**4 + j**3 - j**2 - j = 0.
-1, 0, 1
Factor -4*t**2/5 - 9752*t/5 - 5943844/5.
-4*(t + 1219)**2/5
Find y, given that -y**4/4 + 9*y**3/4 - 7*y**2/2 = 0.
0, 2, 7
Suppose 5*g**5 + 200*g**4 + 2370*g**3 + 11800*g**2 + 24625*g + 15000 = 0. Calculate g.
-24, -5, -1
Suppose 10*b**3 - 144*b**2 - 264*b + 128 = 0. Calculate b.
-2, 2/5, 16
Factor -y**3/2 - 45*y**2 - 1257*y/2 - 584.
-(y + 1)*(y + 16)*(y + 73)/2
Determine u so that -u**5/12 + 7*u**4/4 - 97*u**3/12 - 47*u**2/4 + 49*u/6 + 10 = 0.
-1, 1, 10, 12
Let 2*q**3 - 72*q**2 - 78*q + 148 = 0. Calculate q.
-2, 1, 37
Factor -2*l**4/11 + 54*l**3/11 - 390*l**2/11 + 338*l/11.
-2*l*(l - 13)**2*(l - 1)/11
Solve -4*y**3 + 836*y**2 - 3296*y + 3280 = 0.
2, 205
Factor 7*u**2 - 24*u.
u*(7*u - 24)
Suppose 5*k**2 - 910*k = 0. Calculate k.
0, 182
What is o in 3*o**5/4 + 9*o**4/2 - 9*o**3/4 - 15*o**2 - 9*o = 0?
-6, -1, 0, 2
Factor 3*g**2 - 852*g + 60492.
3*(g - 142)**2
Determine w so that w**2/2 + 7*w + 20 = 0.
-10, -4
Factor -9*o**2 - 1095*o + 366.
-3*(o + 122)*(3*o - 1)
Factor t**2/7 + 152*t/7 + 5776/7.
(t + 76)**2/7
Find g such that -570*g**4 - 605*g**3 - 25*g**2 + 10*g = 0.
-1, -1/6, 0, 2/19
Find c such that -3*c**4 - 96*c**3 + 201*c**2 - 102*c = 0.
-34, 0, 1
Find g, given that 12*g**4 - 15*g**3 - 393*g**2 - 657*g + 189 = 0.
-3, 1/4, 7
Let 5*g**2 - 55*g = 0. Calculate g.
0, 11
Solve -4*z**4 - 932*z**3 + 952*z**2 + 3728*z - 3744 = 0.
-234, -2, 1, 2
What is t in 15*t**5 + 110*t**4 - 955*t**3 - 1410*t**2 - 360*t = 0?
-12, -1, -1/3, 0, 6
Factor g**2 + 376*g - 756.
(g - 2)*(g + 378)
Factor 3*y**3 + 15*y**2 - 27*y - 135.
3*(y - 3)*(y + 3)*(y + 5)
Solve -2*n**2/3 - 10*n/9 - 4/9 = 0.
-1, -2/3
Factor -4*c**5 + 56*c**4 - 244*c**3 + 336*c**2 - 144*c.
-4*c*(c - 6)**2*(c - 1)**2
Let -972*v**4 + 40176*v**3 + 27072*v**2 + 18112*v/3 + 448 = 0. What is v?
-2/9, 42
Factor g**3/3 - 283*g**2/3 + 6721*g - 6627.
(g - 141)**2*(g - 1)/3
Factor 3*w**3 + 1515*w**2 + 192024*w + 190512.
3*(w + 1)*(w + 252)**2
Factor c**4/8 - 3*c**3/4 - 15*c**2/2 - 17*c - 12.
(c - 12)*(c + 2)**3/8
Let 5*s**5 + 35*s**4 + 20*s**3 - 60*s**2 = 0. Calculate s.
-6, -2, 0, 1
Factor 2*i**4/3 + 4912*i**3/3 + 1003684*i**2 - 6036848*i/3 + 3020882/3.
2*(i - 1)**2*(i + 1229)**2/3
Suppose -10*l**4/13 - 166*l**3/13 - 532*l**2/13 + 240*l/13 = 0. What is l?
-12, -5, 0, 2/5
Find z such that -52*z**4 + 106*z**3 - 56*z**2 + 2*z = 0.
0, 1/26, 1
Find w such that 4*w**2/3 + 3848*w/3 + 925444/3 = 0.
-481
Factor 2*m**2 + 238*m/5 - 48/5.
2*(m + 24)*(5*m - 1)/5
Factor w**4/5 + 17*w**3/5 + 56*w**2/5 + 52*w/5.
w*(w + 2)**2*(w + 13)/5
Factor 3*q**2/2 + 108*q + 1944.
3*(q + 36)**2/2
Factor -2*v**2/3 + 152*v/3 - 710/3.
-2*(v - 71)*(v - 5)/3
What is w in -2*w**5 + 36*w**4 = 0?
0, 18
Find w such that 30*w**5/7 - 123*w**4/7 + 81*w**3/7 + 69*w**2/7 - 39*w/7 - 18/7 = 0.
-1/2, -2/5, 1, 3
Suppose 2*a**2/11 + 84*a/11 = 0. Calculate a.
-42, 0
Let 2*a**2 + 46*a + 44 = 0. What is a?
-22, -1
Determine u, given that -u**4 + 500*u**3 - 63492*u**2 + 248000*u - 246016 = 0.
2, 248
Let 5*o**4 - 950*o**3 + 45125*o**2 = 0. Calculate o.
0, 95
Factor -3*p**3 + 72*p**2.
-3*p**2*(p - 24)
Factor v**2/7 - 22*v/7 + 40/7.
(v - 20)*(v - 2)/7
Factor 2*v**2 + 40*v + 192.
2*(v + 8)*(v + 12)
Let 2*q**5/3 + 16*q**4/3 - 24*q**3 - 512*q**2/3 + 896*q/3 + 1024 = 0. Calculate q.
-8, -6, -2, 4
Suppose -9*w**3/5 + 309*w**2/5 - 408*w - 300 = 0. What is w?
-2/3, 10, 25
What is s in 2*s**3 - 416*s**2 + 23200*s - 160000 = 0?
8, 100
Factor -3*h**3/5 - 783*h**2/5 - 68121*h/5 - 1975509/5.
-3*(h + 87)**3/5
Determine a, given that -5*a**4 + 5*a**3 + 150*a**2 - 160*a - 800 = 0.
-5, -2, 4
Determine w so that 4*w**3 - 392*w**2 + 9200*w + 20000 = 0.
-2, 50
Solve g**5/8 + g**4/4 - 17*g**3/4 - g**2 + 345*g/8 - 225/4 = 0 for g.
-5, 2, 3
Solve -f**5/3 - 2*f**4/3 + 2*f**3 + 20*f**2/3 + 19*f/3 + 2 = 0.
-2, -1, 3
Suppose 13*s**2 - 350*s/9 - 1/3 = 0. Calculate s.
-1/117, 3
Factor 3*g**3/7 + 435*g**2/7 - 3*g/7 - 435/7.
3*(g - 1)*(g + 1)*(g + 145)/7
Determine q so that q**2 + 37*q - 308 = 0.
-44, 7
Factor 5*y**5 - 15*y**4 - 15*y**3 + 55*y**2 - 30*y.
5*y*(y - 3)*(y - 1)**2*(y + 2)
Factor 2*q**3/15 - 36*q**2/5 - 306*q - 2520.
2*(q - 84)*(q + 15)**2/15
Suppose -2*v**4/15 - 8*v**3/15 - 2*v**2/5 + 8*v/15 + 8/15 = 0. What is v?
-2, -1, 1
Factor 2*f**3 + 1366*f**2 + 233926*f + 232562.
2*(f + 1)*(f + 341)**2
Factor 18*l**4 - 42*l**3 - 34*l**2 - 6*l.
2*l*(l - 3)*(3*l + 1)**2
Find o, given that -5*o**4 - 55*o**3 - 50*o**2 = 0.
-10, -1, 0
Suppose -195*h**4 + 1375*h**3 + 1880*h**2 - 3220*h + 160 = 0. Calculate h.
-2, 2/39, 1, 8
Factor -8*d**2/3 + 422*d/3 + 106/3.
-2*(d - 53)*(4*d + 1)/3
What is w in -4*w**3/7 + 20*w**2/7 + 4*w/7 - 20/7 = 0?
-1, 1, 5
Determine q so that 3*q**3/8 - 39*q**2/4 + 507*q/8 = 0.
0, 13
Factor 2*k**2/3 + 10*k + 100/3.
2*(k + 5)*(k + 10)/3
Find i such that 4*i**2 - 1 | {
"pile_set_name": "DM Mathematics"
} |
6073, 20507
What are the prime factors of 61926861?
3, 29, 523, 1361
What are the prime factors of 2092642923?
3, 7, 823, 121081
List the prime factors of 2789363008.
2, 43583797
What are the prime factors of 1100563077?
3, 127, 2888617
List the prime factors of 98129399.
449, 218551
What are the prime factors of 144550332?
2, 3, 659, 677
What are the prime factors of 37378686?
2, 3, 101, 61681
List the prime factors of 2227545870.
2, 3, 5, 11, 17, 36097
What are the prime factors of 99476689?
13, 7652053
List the prime factors of 1651169474.
2, 37, 89, 250709
List the prime factors of 2402240528.
2, 19, 467, 16921
What are the prime factors of 2098064815?
5, 7, 11, 43, 126733
What are the prime factors of 51919325?
5, 37, 41
List the prime factors of 18498724.
2, 4624681
List the prime factors of 2488038241.
13, 809, 236573
List the prime factors of 757058202.
2, 3, 23, 181, 10103
What are the prime factors of 3350311538?
2, 7, 239307967
What are the prime factors of 51626535?
3, 5, 17, 193, 1049
List the prime factors of 1423738528.
2, 29, 113, 13577
What are the prime factors of 103668235?
5, 11, 1884877
What are the prime factors of 299844989?
31, 9672419
What are the prime factors of 15513937?
19, 23, 131, 271
What are the prime factors of 2743564195?
5, 548712839
List the prime factors of 2531731.
19, 227, 587
What are the prime factors of 88491647?
17, 47, 110753
List the prime factors of 119202047.
41, 2907367
What are the prime factors of 57006719?
7, 11, 23, 32189
What are the prime factors of 68784020?
2, 5, 3439201
List the prime factors of 2161357400.
2, 5, 211, 51217
What are the prime factors of 16747449?
3, 5582483
What are the prime factors of 1299731834?
2, 3413, 190409
List the prime factors of 2623142327.
13, 201780179
What are the prime factors of 63486696?
2, 3, 7, 13, 41, 709
List the prime factors of 2554103264.
2, 23, 3470249
What are the prime factors of 25100926?
2, 12550463
What are the prime factors of 1693717987?
13, 1483, 87853
List the prime factors of 1804935827.
2503, 721109
What are the prime factors of 27926435?
5, 5585287
List the prime factors of 96228847.
11, 13, 89, 7561
List the prime factors of 644088591.
3, 7951711
List the prime factors of 56244457.
131, 429347
What are the prime factors of 5102790?
2, 3, 5, 7, 11, 47
List the prime factors of 818142973.
818142973
What are the prime factors of 1863826420?
2, 5, 83, 229, 4903
List the prime factors of 20626687.
31, 67, 9931
List the prime factors of 1466940126.
2, 3, 739, 330839
What are the prime factors of 34895358?
2, 3, 83, 23357
List the prime factors of 981711158.
2, 37, 487, 27241
List the prime factors of 387741309.
3, 129247103
What are the prime factors of 2894909086?
2, 61, 23728763
What are the prime factors of 30519556?
2, 17, 1553
What are the prime factors of 95824282?
2, 47912141
List the prime factors of 438270246.
2, 3, 73, 333539
List the prime factors of 40388128.
2, 11, 179, 641
List the prime factors of 260537287.
260537287
What are the prime factors of 550545342?
2, 3, 23, 347, 11497
What are the prime factors of 3555530469?
3, 4643, 85087
List the prime factors of 40013515.
5, 1279, 6257
What are the prime factors of 92812511?
11, 19, 444079
What are the prime factors of 55280635?
5, 163, 67829
List the prime factors of 1558454085.
3, 5, 34632313
List the prime factors of 777130103.
31, 2351, 10663
What are the prime factors of 13068244?
2, 7, 466723
List the prime factors of 1708584322.
2, 854292161
What are the prime factors of 560962927?
7, 67, 241, 709
List the prime factors of 599372256.
2, 3, 7, 891923
List the prime factors of 1646849588.
2, 23, 227, 78857
List the prime factors of 746770632.
2, 3, 31115443
List the prime factors of 2559290414.
2, 107, 1429, 8369
What are the prime factors of 2018325250?
2, 5, 1229, 6569
List the prime factors of 49626521.
7, 1201, 5903
What are the prime factors of 4404264?
2, 3, 183511
List the prime factors of 1025845.
5, 199, 1031
What are the prime factors of 1659977809?
7, 237139687
What are the prime factors of 314706722?
2, 11, 173, 7517
What are the prime factors of 10418728?
2, 31, 43, 977
What are the prime factors of 1249321522?
2, 277, 2255093
List the prime factors of 7530121.
7530121
What are the prime factors of 12194478?
2, 3, 677471
What are the prime factors of 363313529?
363313529
What are the prime factors of 40370951?
83, 486397
List the prime factors of 1573854667.
7, 11, 149, 19597
What are the prime factors of 181512143?
59, 313, 9829
What are the prime factors of 49042929?
3, 13, 41, 30671
List the prime factors of 337039725.
3, 5, 11, 408533
What are the prime factors of 8368284?
2, 3, 17, 19, 127
What are the prime factors of 13055303?
17, 79, 9721
List the prime factors of 328453444.
2, 11, 7464851
List the prime factors of 1067013506.
2, 13, 3037, 13513
List the prime factors of 20739433.
11, 13, 145031
List the prime factors of 270952300.
2, 5, 179, 15137
What are the prime factors of 20754827?
20754827
What are the prime factors of 2517643213?
2517643213
List the prime factors of 746076259.
503, 1483253
List the prime factors of 297122718.
2, 3, 1187, 41719
List the prime factors of 2277835.
5, 7, 151, 431
List the prime factors of 33093990.
2, 3, 5, 367711
What are the prime factors of 1201765719?
3, 7, 11, 41, 18127
What are the prime factors of 2106123996?
2, 3, 2383, 73651
What are the prime factors of 698718393?
3, 31, 463, 601
What are the prime factors of 4989387820?
2, 5, 15259, 16349
What are the prime factors of 44975947?
31, 157, 9241
What are the prime factors of 5213690629?
7, 1669, 446263
What are the prime factors of 212369848?
2, 17, 73, 21391
What are the prime factors of 5225524181?
29, 180190489
List the prime factors of 3675976450.
2, 5, 191, 384919
List the prime factors of 148430117.
11, 13493647
List the prime factors of 730706871.
3, 227, 1072991
What are the prime factors of 758323920?
2, 3, 5, 43, 197, 373
What are the prime factors of 54905117?
19, 23, 125641
List the prime factors of 156603772.
2, 13, 601, 5011
List the prime factors of 136651667.
19, 599, 12007
List the prime factors of 455377237.
7, 19, 489127
What are the prime factors of 23274953?
13, 691, 2591
List the prime factors of 103195091.
419, 246289
What are the prime factors of 91783721?
653, 140557
List the prime factors of 400892687.
13, 30837899
What are the prime factors of 843141225?
3, 5, 47, 53, 4513
What are the prime factors of 847207900?
2, 5, 7, 11, 47, 2341
What are the prime factors of 1638738426?
2, 3, 13, 17, 617, 2003
List the prime factors of 121927212.
2, 3, 11, 47, 6551
List the prime factors of 214396766.
2, 53, 73, 103, 269
List the prime factors of 11998676.
2, 103, 29123
What are the prime factors of 163702834?
2, 81851417
What are the prime factors of 88609474?
2, 17, 2606161
What are the prime factors of 1091656579?
13, 83973583
List the prime factors of 1073042760.
2, 3, 5, 2531, 3533
What are the prime factors of 681968278?
2, 53, 811, 7933
What are the prime factors of 47518800?
2, 3, 5, 7, 5657
List the prime factors of 918244726.
2, 7, 5527, 11867
What are the prime factors of 17641748?
2, 37, 199, 599
List the prime factors of 486856184.
2, 60857023
What are the prime factors of 175456019?
1009, 173891
List the prime factors of 454922.
2, 13, 17497
List the prime factors of 126455408.
2, 59, 97, 1381
List the prime factors of 124566143.
13, 9582011
List the prime factors of 2069812417.
83, 151, 239, 691
What are the prime factors of 3623009127?
3, 1207669709
What are the prime factors of 54065923?
107, 439, 1151
What are the prime factors of 1752465413?
1752465413
What are the prime factors of 53825073?
3, 29, 618679
What are the prime factors of 33538218?
2, 3, 7, 31, 25759
List the prime factors of 276315706.
2, 8669, 15937
List the prime factors of 6620584.
2, 29, 28537
What are the prime factors of 27006735?
3, 5, 7, 31, 8297
What are the prime factors of 402975981?
3, 44775109
List the prime factors of 488281185.
3, 5, 7, 1550099
What are the prime factors of 1903024384?
2, 7433689
What are the prime factors of 393347652?
2, 3, 19, 73, 23633
What are the prime factors of 1798970332?
2, 449742583
What are the prime factors | {
"pile_set_name": "DM Mathematics"
} |
What is the remainder when 492549 is divided by 302?
289
Calculate the remainder when 2558162 is divided by 201.
35
Calculate the remainder when 6373566 is divided by 1162.
1158
Calculate the remainder when 4327287 is divided by 1081816.
23
Calculate the remainder when 108933 is divided by 13602.
117
Calculate the remainder when 16487498 is divided by 4121870.
18
What is the remainder when 8431 is divided by 671?
379
Calculate the remainder when 204193 is divided by 555.
508
Calculate the remainder when 78976 is divided by 78586.
390
What is the remainder when 47907301 is divided by 7984547?
19
Calculate the remainder when 43019039 is divided by 76.
75
What is the remainder when 8357 is divided by 4100?
157
Calculate the remainder when 994883 is divided by 3262.
3235
Calculate the remainder when 24439750 is divided by 390.
10
What is the remainder when 10810815 is divided by 1801801?
9
What is the remainder when 422010 is divided by 1803?
108
Calculate the remainder when 6555629 is divided by 6523.
14
What is the remainder when 92003 is divided by 17957?
2218
Calculate the remainder when 11208330 is divided by 4220.
10
Calculate the remainder when 729112 is divided by 6077.
5949
What is the remainder when 683632 is divided by 341553?
526
Calculate the remainder when 115405 is divided by 113895.
1510
What is the remainder when 48845522 is divided by 106?
86
Calculate the remainder when 132089 is divided by 44.
1
Calculate the remainder when 6236296 is divided by 2179.
2177
Calculate the remainder when 92828 is divided by 956.
96
Calculate the remainder when 638300 is divided by 49100.
0
Calculate the remainder when 59581841 is divided by 1372.
1369
What is the remainder when 208452 is divided by 22?
2
What is the remainder when 162311 is divided by 81130?
51
Calculate the remainder when 233765 is divided by 4032.
3941
What is the remainder when 21133904 is divided by 187?
99
Calculate the remainder when 4570644 is divided by 4712.
4
Calculate the remainder when 43500 is divided by 21689.
122
What is the remainder when 80404792 is divided by 31?
30
What is the remainder when 4805722 is divided by 294?
292
Calculate the remainder when 360730 is divided by 128.
26
Calculate the remainder when 1034569 is divided by 344705.
454
Calculate the remainder when 2323500 is divided by 27.
15
Calculate the remainder when 99763 is divided by 9.
7
What is the remainder when 1082043 is divided by 111?
15
Calculate the remainder when 436985 is divided by 2751.
2327
Calculate the remainder when 9886252 is divided by 223.
216
What is the remainder when 2557280 is divided by 8787?
263
Calculate the remainder when 192358 is divided by 5495.
33
Calculate the remainder when 4541176 is divided by 504572.
28
Calculate the remainder when 2835446 is divided by 7705.
6
What is the remainder when 4942934 is divided by 1647633?
35
What is the remainder when 3253690 is divided by 102?
94
Calculate the remainder when 6611537 is divided by 274.
191
Calculate the remainder when 214582 is divided by 4289.
132
Calculate the remainder when 9999372 is divided by 23808.
12
Calculate the remainder when 472777 is divided by 78778.
109
Calculate the remainder when 725711 is divided by 1487.
55
Calculate the remainder when 21125 is divided by 20581.
544
Calculate the remainder when 30193 is divided by 183.
181
Calculate the remainder when 3124735 is divided by 4820.
1375
What is the remainder when 15592 is divided by 13744?
1848
What is the remainder when 65346584 is divided by 69?
65
Calculate the remainder when 13133 is divided by 4890.
3353
What is the remainder when 2236423 is divided by 6144?
7
What is the remainder when 8559115 is divided by 570?
565
What is the remainder when 8792285 is divided by 676329?
8
Calculate the remainder when 76001 is divided by 25112.
665
What is the remainder when 5929252 is divided by 114?
112
Calculate the remainder when 80385 is divided by 2009.
25
Calculate the remainder when 3104761 is divided by 6008.
4633
Calculate the remainder when 22767 is divided by 22200.
567
What is the remainder when 1089425 is divided by 1089414?
11
What is the remainder when 55039243 is divided by 591?
4
Calculate the remainder when 2493173 is divided by 498628.
33
Calculate the remainder when 14368090 is divided by 393.
10
Calculate the remainder when 6045985 is divided by 217.
148
Calculate the remainder when 11336 is divided by 962.
754
Calculate the remainder when 226410468 is divided by 3342.
3336
What is the remainder when 75542 is divided by 3289?
3184
Calculate the remainder when 4894794 is divided by 469.
310
Calculate the remainder when 4026737 is divided by 25648.
1
What is the remainder when 870592 is divided by 3568?
0
Calculate the remainder when 134167 is divided by 291.
16
What is the remainder when 5390284 is divided by 898377?
22
Calculate the remainder when 913834 is divided by 304600.
34
What is the remainder when 48874996 is divided by 17?
13
What is the remainder when 2696285 is divided by 539253?
20
What is the remainder when 818081 is divided by 2030?
2021
What is the remainder when 5630053 is divided by 51?
10
What is the remainder when 36825 is divided by 5193?
474
What is the remainder when 64744643 is divided by 703746?
11
What is the remainder when 390423 is divided by 799?
511
Calculate the remainder when 1383282 is divided by 21281.
17
Calculate the remainder when 10553971 is divided by 12187.
29
What is the remainder when 7707 is divided by 2785?
2137
Calculate the remainder when 79995783 is divided by 39.
36
What is the remainder when 312879 is divided by 1935?
1344
What is the remainder when 2253731 is divided by 17?
7
What is the remainder when 17801785 is divided by 17801774?
11
Calculate the remainder when 3963112 is divided by 1981552.
8
What is the remainder when 24468282 is divided by 547?
425
Calculate the remainder when 13331941 is divided by 1.
0
Calculate the remainder when 85761 is divided by 21416.
97
Calculate the remainder when 377059014 is divided by 12.
6
Calculate the remainder when 1166927 is divided by 583459.
9
What is the remainder when 2437647 is divided by 1799?
2
Calculate the remainder when 125108 is divided by 7578.
3860
What is the remainder when 454539 is divided by 151279?
702
What is the remainder when 40164039 is divided by 280?
279
What is the remainder when 10031011 is divided by 5015502?
7
Calculate the remainder when 18755304 is divided by 6251736.
96
What is the remainder when 2211961 is divided by 559?
557
Calculate the remainder when 1421492 is divided by 488.
436
What is the remainder when 819426 is divided by 91045?
21
Calculate the remainder when 15973109 is divided by 15.
14
Calculate the remainder when 3225893 is divided by 623.
622
What is the remainder when 16921308 is divided by 104?
92
What is the remainder when 114086288 is divided by 8775868?
4
Calculate the remainder when 27329 is divided by 1325.
829
What is the remainder when 895642 is divided by 19470?
22
What is the remainder when 7930229 is divided by 15?
14
Calculate the remainder when 152515436 is divided by 770.
766
What is the remainder when 103620 is divided by 902?
792
What is the remainder when 1066775 is divided by 1865?
1860
Calculate the remainder when 161366 is divided by 208.
166
Calculate the remainder when 5461360 is divided by 45.
25
Calculate the remainder when 19826037 is divided by 27.
18
What is the remainder when 293166206 is divided by 4703?
4701
What is the remainder when 7769965 is divided by 34?
13
Calculate the remainder when 2934840 is divided by 20.
0
Calculate the remainder when 6130 is divided by 1348.
738
What is the remainder when 14698133 is divided by 33?
32
Calculate the remainder when 583593 is divided by 4210.
2613
What is the remainder when 392063 is divided by 392018?
45
What is the remainder when 5026641 is divided by 214?
209
Calculate the remainder when 1958989 is divided by 2632.
781
Calculate the remainder when 85911 is divided by 396.
375
What is the remainder when 122053 is divided by 2624?
1349
Calculate the remainder when 610269 is divided by 8603.
8059
What is the remainder when 1335568 is divided by 97?
72
What is the remainder when 31560 is divided by 15252?
1056
Calculate the | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of -c**2*w*x**2 + 3*c**2*x**3 - c**2*x**2 - 175*c*w*x**3 + 8*c*x**2 + 4*c - 9*w*x**2 wrt x.
18*c**2 - 1050*c*w
Differentiate -661*j*u**3 - 6*j*v**2 - 44*u**3*v**2 + 47*u**3*v wrt j.
-661*u**3 - 6*v**2
What is the second derivative of 298*t**5 + 482*t?
5960*t**3
Find the third derivative of -26*g**4 + 21*g**3*r - 288*g**2 + 9*r wrt g.
-624*g + 126*r
Find the third derivative of 1058*i**3 - 1343*i**2.
6348
What is the second derivative of -10960*b**2 - 6156*b - 1 wrt b?
-21920
Find the third derivative of -a**3*d**3*u - 3*a**3*d - 186*a**2*d**3 + 65*a**2*d**2*u + 4*a*d**3*u - 6*a*d**2*u wrt d.
-6*a**3*u - 1116*a**2 + 24*a*u
What is the second derivative of -13*d**5 - d**3 + 116*d**2 - 4177*d?
-260*d**3 - 6*d + 232
Find the second derivative of -57*f**2*g**3*r**3 - f**2*r**3 + f*g**3*r**2 + 64*f*g**2*r**3 + 2*f*g*r wrt f.
-114*g**3*r**3 - 2*r**3
Find the third derivative of -722*d**5 + 291*d**2.
-43320*d**2
What is the second derivative of -43*b**2*j**4 - 28*b**2*j + j**3 wrt j?
-516*b**2*j**2 + 6*j
Find the third derivative of -2*w**5 + 19*w**4 + 190*w**2.
-120*w**2 + 456*w
Differentiate g**3*z + 4*g**2*y**2 - g*y*z**2 - 2*y**2*z + y*z - 25*z**2 wrt g.
3*g**2*z + 8*g*y**2 - y*z**2
What is the third derivative of -306*h**2*i**3 + 522*h**2*i**2 + 2*h*i**2 wrt i?
-1836*h**2
What is the second derivative of 2*u**3*x - u**3 - 81*u**2*x - 6*u*x + 19*x wrt u?
12*u*x - 6*u - 162*x
Find the second derivative of -8*d**3 + 3*d + 38 wrt d.
-48*d
Find the second derivative of 139*j*z**3 - 7*j*z - j - 3*z**3 - 50*z wrt z.
834*j*z - 18*z
Find the second derivative of -6073*b**2 + 3098*b.
-12146
Differentiate 4*o*u**2*z - o*u**2 - 11*o*u*z + 2636*o*u + 5*u*z - z wrt z.
4*o*u**2 - 11*o*u + 5*u - 1
What is the third derivative of -95*s**3 - 2*s**2 - 294 wrt s?
-570
What is the second derivative of 1824*h**3 + 4303*h + 2?
10944*h
Find the third derivative of -18*n**2*u**3 + n**2*u**2 - 1169*n*u**2 + 153*u**3 wrt u.
-108*n**2 + 918
What is the second derivative of 594*q**3 - 51*q + 2 wrt q?
3564*q
What is the third derivative of -d**4*x**2 + 60*d**4*x - d**2*x - 16*d*x**2 wrt d?
-24*d*x**2 + 1440*d*x
Differentiate -75*g + 484.
-75
Find the third derivative of -592*x**3 - 27*x**2 - x.
-3552
What is the second derivative of 302*n**4 + 324*n + 2?
3624*n**2
Find the second derivative of -4*s**3*y**2 + 7*s**3 + 2*s**2*y**2 + 4*s + 7*y**2 wrt s.
-24*s*y**2 + 42*s + 4*y**2
What is the second derivative of -2*k**2*s*w**2 + 4*k**2*s - 44*k**2*w**2 - 145*k - s*w**2 wrt k?
-4*s*w**2 + 8*s - 88*w**2
Find the third derivative of -2*d**6 + 11*d**5 - 3*d**4 - 85*d**2 - 14.
-240*d**3 + 660*d**2 - 72*d
What is the third derivative of -19*c**5 - 61*c**4 - c**3 - 2*c**2 + 1232 wrt c?
-1140*c**2 - 1464*c - 6
What is the second derivative of 5*o**3 - 4*o**2 + 3*o - 29?
30*o - 8
Differentiate 169*i*k - 160*i + 2*k**4 - 1 wrt k.
169*i + 8*k**3
Find the second derivative of -u**5 + 206*u**3 - 15*u - 9.
-20*u**3 + 1236*u
Differentiate 3*a*b*u**2 + 2*a*b*u*z**2 + a*z**2 - 2*b*u**2*z - b*u**2 - 7*b*u*z + u*z**2 with respect to a.
3*b*u**2 + 2*b*u*z**2 + z**2
Find the second derivative of 17352*j**2*t*u**2 + 557*j*t*u**2 - 2*j*t - 3*j*u**2 + j*u - t wrt j.
34704*t*u**2
What is the derivative of b**2*d - 3*b**2 + 567*b*d**2 - 2*b*d - 4*d**2 - 73*d - 6 wrt b?
2*b*d - 6*b + 567*d**2 - 2*d
Find the third derivative of -58*g*q**6 - 25*g*q**2 - 5*q**4 - 46*q**2 wrt q.
-6960*g*q**3 - 120*q
What is the derivative of -5049*f - 3988?
-5049
Find the third derivative of 168*x**3 + 31*x**2 + 2.
1008
Find the second derivative of 3518*b**2*n**3*w**2 - 7*b**2*n**2*w - b*n**3*w - 6*b*n**2 + 2*n*w wrt w.
7036*b**2*n**3
Find the third derivative of -189*t**6 + 2*t**2 + 91.
-22680*t**3
What is the third derivative of 742*d**6 - 6*d**4 + 2*d**3 - 13644*d**2 wrt d?
89040*d**3 - 144*d + 12
Find the second derivative of -d*r**2*z - 2*d*r**2 - 32*d*z**2 - 2*d + 4*r**2*z**2 + r*z**2 wrt r.
-2*d*z - 4*d + 8*z**2
Find the first derivative of -5*c*h**3 - 2*c*h + 176*c - 21*h**3 wrt h.
-15*c*h**2 - 2*c - 63*h**2
What is the first derivative of -49*d*w**2 - 4*d*w - 160*w**2 wrt d?
-49*w**2 - 4*w
Find the third derivative of -10*g**5 + 4*g**3 - 322*g**2 wrt g.
-600*g**2 + 24
What is the third derivative of -2*z**6 - 588*z**3 + 208*z**2 - 2?
-240*z**3 - 3528
What is the third derivative of 5*c**5*s**2 - 4*c**4*s + 5*c**2 + 11*c*s**2 wrt c?
300*c**2*s**2 - 96*c*s
Find the third derivative of 1372*o**3*w**3 - 2*o**2*w**3 - 2*o**2 + 941*w**2 wrt o.
8232*w**3
What is the third derivative of 2*i**3*k*n + 391*i**3*n + 5*i**2*k*n - 44*k*n wrt i?
12*k*n + 2346*n
What is the first derivative of -5*p*x**3 + 21*p*x**2 + 2*x**3 - 44 wrt p?
-5*x**3 + 21*x**2
What is the third derivative of -2*n**2*w**4 - 488*n**2*w**2 - 67*n*w**4 - 2*n*w - n + 4*w**4 - w**2 wrt w?
-48*n**2*w - 1608*n*w + 96*w
Differentiate -14*h**4*p - 2*h**3*p - 22*h**2*p + p - 5918 wrt h.
-56*h**3*p - 6*h**2*p - 44*h*p
Find the second derivative of 21*b**3*l*o**2 - 6*b**3*l + b**2*l**2*o**2 + b**2*l*o - l**2*o - o**2 wrt o.
42*b**3*l + 2*b**2*l**2 - 2
Find the first derivative of -3*b*u**3 - 2*b*u + 509*b + 8*u**3 - 5*u - 3 wrt b.
-3*u**3 - 2*u + 509
Find the second derivative of -51*o**4 - 3*o wrt o.
-612*o**2
What is the derivative of 14*a*l**2 - a + 2*l**2 - 26 wrt l?
28*a*l + 4*l
What is the third derivative of -20*y**6 - 11*y**3*z**2 + 64*y**2*z**2 - 4*y**2*z wrt y?
-2400*y**3 - 66*z**2
Find the third derivative of -7183*i**6 - 3522*i**2 wrt i.
-861960*i**3
What is the second derivative of -272*g**4 - 589*g wrt g?
-3264*g**2
Find the second derivative of -3135*l**2 - 2*l + 2305.
-6270
What is the third derivative of -3*a**5 - 242*a**3 - 675*a**2 - a wrt a?
-180*a**2 - 1452
Find the second derivative of -d*k*m**2*z + 4*d*k*m**2 - d*k*m*z**2 + d*k + 5*d*m*z**2 + 5*d*z**2 + 2*m**2*z**2 wrt m.
-2*d*k*z + 8*d*k + 4*z**2
Differentiate -2441*r**2 + 6449.
-4882*r
What is the third derivative of -4*q**6 + 4*q**5 - 87*q**2 + 4*q?
-480*q**3 + 240*q**2
What is the second derivative of 3*m**3*u**4 - m**3*u - 2*m**3 - 124*u**5 + 2 wrt u?
36*m**3*u**2 - 2480*u**3
Find the second derivative of -220*j**5 - 38*j - 5 wrt j.
-4400*j**3
Find the third derivative of -31389*a**4 + 9477*a**2.
-753336*a
What is the second derivative of -125*i**2 + 79*i - 5?
-250
What is the second derivative of 2*d**4*w + 22*d**2*w**3 + 3*d*w**3 + 49*d*w wrt d?
24*d**2*w + 44*w**3
What is the third derivative of 2*t**6 - 961*t**5 - 5*t**2 - 511*t wrt t?
240*t**3 - 57660*t**2
Find the first derivative of -3*a**2*r**3 - 2395*a**2*r - r**3 - 737*r**2 wrt a.
-6*a*r**3 - 4790*a*r
What is the second derivative of 95*i**4 + 4*i**2 - 63*i?
1140*i**2 + 8
Find the second derivative of -333*j**2*r + 2*j*r - 21*j - 2 wrt j.
-666*r
Find the first derivative of 448*q**2 + 182 wrt q.
896*q
Find the third derivative of 212*a**2*l**3 - 2*a**2*l + 2*a*l**3 + 3*a + l**3 - 87*l**2 - l wrt l.
1272*a**2 + 12*a + 6
What is the first derivative of 34*f**3*q**2 - 2*f**2*q**3 + 28*q**3 - 3*q**2 wrt f?
102*f**2*q**2 - 4*f*q**3
What is the third derivative of -16*a**2*u**3 + 52*a**2*u + 2*a*u**3 - 16*u**4 + 2*u**2 wrt u?
-96*a**2 + 12*a - 384*u
Find the second derivative of -9723*y**2 + 4059*y.
-19446
Differentiate -7*f*k**2*v + 4*f*k*v + f*v - k**2 - 12*v with respect to k.
-14*f*k*v + 4*f*v - 2*k
Find the second derivative of -6*d**2*l**2*n*u - 6*d**2*l*u**2 + d**2*n*u**2 + 2*d**2 - 259*d*l**2*n*u**2 - 60*d*l*n*u**2 - 2*d*n*u wrt l.
-12*d**2*n*u - 518*d*n*u**2
What is the third derivative of -199*u**4 - 12*u**2 - 1?
-4776*u
Find the first derivative of -438*p**4 - 404 wrt p.
-1752*p**3
Find the second derivative of -6*j**2*q**3 + 5*j**2*q + 1425*j**2 - 214*j*q**2 wrt q.
-36*j**2*q - 428*j
Differentiate -28397*s**3 - 6852 wrt s.
-85191*s**2
What is the second derivative of 3*n**5 + 3*n**2*p**2 - 26*n*p**2 - 3*p**2 wrt n?
60*n**3 + 6*p**2
What is the second derivative of -13*q**5 - 41*q**4 - 19151*q wrt q?
-260*q**3 - 492*q**2
What is the third derivative of -4233*u**4 - 2*u**3 + 21972*u**2 wrt u?
-101592*u - 12
Find the third derivative of 516*w**6 - w**2 - 12.
61920*w**3
What is the third derivative of 570*d**5 - 76*d**2 - 6*d?
34200*d**2
What is the third derivative of 32*k*s**3*y + 2*k*s**3 + k*s**2*y - 2*k*s | {
"pile_set_name": "DM Mathematics"
} |
hree letters picked without replacement from {k: 3, b: 3}. What is prob of sequence kkb?
3/20
Two letters picked without replacement from {b: 7, n: 4, q: 3, h: 5}. Give prob of sequence qb.
7/114
Calculate prob of sequence as when two letters picked without replacement from {a: 13, s: 3}.
13/80
What is prob of sequence wd when two letters picked without replacement from {w: 5, d: 2}?
5/21
Two letters picked without replacement from {j: 7, u: 4, q: 3, z: 1, s: 1}. What is prob of sequence uq?
1/20
Calculate prob of sequence vv when two letters picked without replacement from {f: 2, v: 8}.
28/45
Two letters picked without replacement from kkkkkwwqrqkkkkqedd. What is prob of sequence we?
1/153
Four letters picked without replacement from {y: 4}. What is prob of sequence yyyy?
1
Calculate prob of sequence aa when two letters picked without replacement from reraeaaeeerrrer.
1/35
What is prob of sequence gzg when three letters picked without replacement from ggzzz?
1/10
What is prob of sequence uuyu when four letters picked without replacement from {p: 1, t: 6, y: 5, n: 2, u: 5, r: 1}?
5/1938
What is prob of sequence up when two letters picked without replacement from ihbpauaibibhiubbubii?
3/380
Two letters picked without replacement from {v: 3, l: 4}. Give prob of sequence ll.
2/7
Calculate prob of sequence fwaa when four letters picked without replacement from aaxxfaowwww.
1/330
What is prob of sequence xxdx when four letters picked without replacement from {h: 1, x: 4, d: 2, w: 1, k: 1}?
1/63
Calculate prob of sequence wz when two letters picked without replacement from rzwdwsbr.
1/28
Three letters picked without replacement from pzjfjyf. What is prob of sequence jzf?
2/105
What is prob of sequence cckh when four letters picked without replacement from {c: 2, g: 1, v: 1, h: 2, k: 1}?
1/210
What is prob of sequence na when two letters picked without replacement from cwavaaaaaaaanyy?
3/70
Two letters picked without replacement from {o: 3, e: 1, d: 6, h: 5}. What is prob of sequence ho?
1/14
Three letters picked without replacement from {u: 2, z: 7, r: 2, f: 7}. Give prob of sequence urf.
7/1224
Three letters picked without replacement from ttbutbycbtcbbccbcubc. Give prob of sequence cbc.
7/228
Three letters picked without replacement from {p: 5, d: 3}. Give prob of sequence pdp.
5/28
Three letters picked without replacement from {p: 7, t: 12}. What is prob of sequence tpp?
28/323
Calculate prob of sequence tt when two letters picked without replacement from ppppphhhphhhhhthhhtp.
1/190
Two letters picked without replacement from {o: 6, k: 2, r: 2, z: 4, a: 3}. Give prob of sequence ro.
3/68
Three letters picked without replacement from exxqxqx. Give prob of sequence eqx.
4/105
What is prob of sequence vvvc when four letters picked without replacement from {v: 3, c: 4}?
1/35
Four letters picked without replacement from lwlwll. Give prob of sequence lwwl.
1/15
What is prob of sequence cxn when three letters picked without replacement from nnnonunuunnnnonucoox?
1/684
Calculate prob of sequence ntn when three letters picked without replacement from {n: 2, t: 3}.
1/10
Three letters picked without replacement from cbcbbclmccbbbcmubcc. Give prob of sequence ucb.
28/2907
Two letters picked without replacement from {b: 5, s: 8}. Give prob of sequence bb.
5/39
Three letters picked without replacement from nquqjnnaiijjnnnijaa. Give prob of sequence qnq.
2/969
Calculate prob of sequence rvi when three letters picked without replacement from rnqvinrvnoon.
1/330
Four letters picked without replacement from yyyccycyccccy. Give prob of sequence yyyy.
3/143
What is prob of sequence mj when two letters picked without replacement from ymmybjyyky?
1/45
Four letters picked without replacement from jffjgjf. Give prob of sequence gfjj.
3/140
What is prob of sequence bguu when four letters picked without replacement from ubggbguu?
3/140
What is prob of sequence zh when two letters picked without replacement from {m: 3, z: 2, v: 3, j: 7, r: 3, h: 1}?
1/171
What is prob of sequence ghhg when four letters picked without replacement from ghghhhghhhhh?
2/55
What is prob of sequence nn when two letters picked without replacement from ffnfnn?
1/5
Two letters picked without replacement from exxex. Give prob of sequence xe.
3/10
Three letters picked without replacement from eevzzeeeezvzezzveez. What is prob of sequence zvz?
7/323
Four letters picked without replacement from {b: 5, h: 3, z: 1, k: 1}. Give prob of sequence hbbz.
1/84
What is prob of sequence eg when two letters picked without replacement from efhnnnefhfnnnhnngnf?
1/171
Four letters picked without replacement from {x: 3, v: 3, i: 8, q: 3, m: 1}. What is prob of sequence xqqq?
1/4080
Calculate prob of sequence xxu when three letters picked without replacement from uxx.
1/3
Two letters picked without replacement from {j: 1, t: 1, r: 1}. Give prob of sequence rt.
1/6
Calculate prob of sequence lq when two letters picked without replacement from {e: 1, r: 3, w: 1, y: 2, q: 3, l: 2}.
1/22
Calculate prob of sequence im when two letters picked without replacement from meimmieeeeme.
2/33
Three letters picked without replacement from {t: 7, k: 7}. What is prob of sequence tkk?
7/52
What is prob of sequence fzkk when four letters picked without replacement from {z: 1, w: 4, f: 6, k: 5}?
1/364
Calculate prob of sequence uxu when three letters picked without replacement from xxxxxxuxxuuuxu.
15/182
Two letters picked without replacement from mmu. Give prob of sequence mu.
1/3
Two letters picked without replacement from {r: 1, a: 1, z: 1}. What is prob of sequence az?
1/6
Calculate prob of sequence hhg when three letters picked without replacement from {h: 5, g: 6, v: 3, j: 1}.
4/91
Two letters picked without replacement from iimmimmmmipvmppipi. What is prob of sequence pi?
4/51
Three letters picked without replacement from zzzppezpz. Give prob of sequence pzz.
5/42
Two letters picked without replacement from vvvvvv. Give prob of sequence vv.
1
Calculate prob of sequence qwq when three letters picked without replacement from {t: 2, q: 3, m: 5, v: 1, w: 3, e: 1}.
3/455
What is prob of sequence ggg when three letters picked without replacement from vggvgv?
1/20
Two letters picked without replacement from {f: 2, x: 5}. Give prob of sequence xx.
10/21
Four letters picked without replacement from {g: 3, u: 2, s: 3, e: 10}. Give prob of sequence gesg.
1/408
What is prob of sequence ebyc when four letters picked without replacement from cbeccbybcbcbyyyb?
1/364
Calculate prob of sequence xr when two letters picked without replacement from xxxrxmrmxmxmmmx.
1/15
What is prob of sequence fjj when three letters picked without replacement from wfkcbckjj?
1/252
Two letters picked without replacement from {v: 1, f: 8, j: 4, o: 2, r: 2, e: 2}. Give prob of sequence je.
4/171
Three letters picked without replacement from qggllgyggogyl. Give prob of sequence llq.
1/286
Four letters picked without replacement from yyyyyyrryyy. Give prob of sequence ryyr.
1/55
Three letters picked without replacement from {k: 1, c: 1, q: 1, g: 3, j: 1}. Give prob of sequence ggc.
1/35
Calculate prob of sequence qe when two letters picked without replacement from {q: 4, g: 3, e: 6}.
2/13
What is prob of sequence jkd when three letters picked without replacement from fffffjykfyyjjd?
1/728
Three letters picked without replacement from {v: 1, h: 1, w: 2, l: 1, a: 2}. What is prob of sequence wah?
2/105
What is prob of sequence uu when two letters picked without replacement from zzzwzuzuxzuz?
1/22
Calculate prob of sequence pp when two letters picked without replacement from nnppp.
3/10
What is prob of sequence iiei when four letters picked without replacement from efiieifffffef?
3/2860
Calculate prob of sequence mrm when three letters picked without replacement from mrrrrrrrrmrrmm.
5/91
What is prob of sequence eeie when four letters picked without replacement from {e: 4, o: 5, i: 1}?
1/210
What is prob of sequence gc when two letters picked without replacement from gcgcu?
1/5
What is prob of sequence mimm when four letters picked without replacement from mimmiimimmmmiiiiiim?
35/646
Three letters picked without replacement from {w: 2, x: 1, m: 1, i: 1, v: 1, e: 2}. W | {
"pile_set_name": "DM Mathematics"
} |
inder when 50686270 is divided by 1008?
1006
Calculate the remainder when 505925 is divided by 357.
56
What is the remainder when 108993101 is divided by 59?
41
What is the remainder when 6219599 is divided by 51?
47
Calculate the remainder when 4458366 is divided by 6674.
134
What is the remainder when 121050371 is divided by 97?
94
What is the remainder when 15832910 is divided by 1638?
2
What is the remainder when 926164 is divided by 28065?
19
What is the remainder when 380538 is divided by 94634?
2002
What is the remainder when 514955 is divided by 32180?
75
What is the remainder when 792820 is divided by 974?
958
What is the remainder when 518430 is divided by 1096?
22
Calculate the remainder when 752351 is divided by 204.
203
What is the remainder when 17592 is divided by 5005?
2577
What is the remainder when 11364364 is divided by 106?
104
What is the remainder when 2413346 is divided by 224?
194
What is the remainder when 760503 is divided by 190125?
3
What is the remainder when 1447396 is divided by 1522?
1496
What is the remainder when 98208 is divided by 1169?
12
Calculate the remainder when 2332243 is divided by 582870.
763
What is the remainder when 44381 is divided by 9225?
7481
What is the remainder when 13235614 is divided by 898?
890
Calculate the remainder when 90610962 is divided by 633643.
13
What is the remainder when 50254 is divided by 4332?
2602
What is the remainder when 15994749 is divided by 48?
45
Calculate the remainder when 5912534 is divided by 14.
12
What is the remainder when 52957 is divided by 133?
23
Calculate the remainder when 17340492 is divided by 46.
10
Calculate the remainder when 161920 is divided by 23110.
150
What is the remainder when 37591235 is divided by 37591229?
6
What is the remainder when 2008291 is divided by 151?
142
Calculate the remainder when 50122 is divided by 156.
46
Calculate the remainder when 4042656 is divided by 37.
36
What is the remainder when 477513 is divided by 29841?
57
What is the remainder when 45070763 is divided by 287?
283
What is the remainder when 10757377 is divided by 430295?
2
What is the remainder when 35092824 is divided by 33?
30
What is the remainder when 22798775 is divided by 62980?
15
Calculate the remainder when 284171 is divided by 1579.
1530
What is the remainder when 2905154 is divided by 348?
50
What is the remainder when 5950870 is divided by 44405?
600
Calculate the remainder when 1684806 is divided by 2925.
6
Calculate the remainder when 273159 is divided by 1129.
1070
What is the remainder when 2053820 is divided by 22323?
104
Calculate the remainder when 857864 is divided by 324.
236
Calculate the remainder when 45225792 is divided by 45225787.
5
Calculate the remainder when 92531 is divided by 872.
99
What is the remainder when 8758440 is divided by 85867?
6
Calculate the remainder when 24092277 is divided by 4818452.
17
What is the remainder when 2684387 is divided by 1342191?
5
Calculate the remainder when 702407 is divided by 78042.
29
What is the remainder when 589832 is divided by 2403?
1097
What is the remainder when 2675411 is divided by 65?
11
What is the remainder when 491635 is divided by 4167?
4096
Calculate the remainder when 192331507 is divided by 35.
32
What is the remainder when 1966378 is divided by 982772?
834
Calculate the remainder when 71572 is divided by 764.
520
Calculate the remainder when 13013100 is divided by 500503.
22
What is the remainder when 57502566 is divided by 31405?
11
Calculate the remainder when 3298455 is divided by 412306.
7
Calculate the remainder when 157603 is divided by 116.
75
Calculate the remainder when 65314379 is divided by 116.
115
Calculate the remainder when 2198588 is divided by 18.
14
What is the remainder when 16928193 is divided by 596?
5
What is the remainder when 646090 is divided by 207?
43
Calculate the remainder when 10337 is divided by 749.
600
Calculate the remainder when 219821 is divided by 361.
333
Calculate the remainder when 6263475 is divided by 150.
75
Calculate the remainder when 1234474 is divided by 8016.
10
Calculate the remainder when 109616 is divided by 579.
185
What is the remainder when 2983910 is divided by 30441?
692
What is the remainder when 34559998 is divided by 75?
73
Calculate the remainder when 20594789 is divided by 30.
29
Calculate the remainder when 3189260 is divided by 312.
308
Calculate the remainder when 935732 is divided by 20203.
6394
Calculate the remainder when 3714696 is divided by 1238144.
264
What is the remainder when 23292 is divided by 1054?
104
Calculate the remainder when 157587338 is divided by 1097.
1094
Calculate the remainder when 5280443 is divided by 43282.
39
What is the remainder when 158505 is divided by 77365?
3775
What is the remainder when 122726 is divided by 24432?
566
Calculate the remainder when 237034 is divided by 1756.
1730
Calculate the remainder when 14144296 is divided by 7072116.
64
Calculate the remainder when 27628748 is divided by 625.
623
What is the remainder when 38737111 is divided by 486?
481
Calculate the remainder when 8052208 is divided by 917.
31
What is the remainder when 2117387 is divided by 1131?
155
What is the remainder when 3679905 is divided by 15020?
5
Calculate the remainder when 1064606 is divided by 266151.
2
Calculate the remainder when 149945 is divided by 347.
41
Calculate the remainder when 1238628981 is divided by 23.
22
What is the remainder when 67881 is divided by 6767?
211
What is the remainder when 11781520 is divided by 925?
720
Calculate the remainder when 1105259692 is divided by 6.
4
Calculate the remainder when 14615 is divided by 4839.
98
What is the remainder when 39188155 is divided by 396?
391
What is the remainder when 63774 is divided by 75?
24
Calculate the remainder when 55034691 is divided by 33.
30
Calculate the remainder when 244633 is divided by 1087.
58
What is the remainder when 5203528 is divided by 129?
55
Calculate the remainder when 773558 is divided by 532.
30
What is the remainder when 2604260 is divided by 200290?
490
Calculate the remainder when 150844594 is divided by 4122.
4
Calculate the remainder when 316011 is divided by 4893.
2859
Calculate the remainder when 4368 is divided by 3485.
883
Calculate the remainder when 351179 is divided by 175368.
443
What is the remainder when 169342 is divided by 41874?
1846
What is the remainder when 455112 is divided by 5056?
72
Calculate the remainder when 477830 is divided by 1642.
8
What is the remainder when 288949 is divided by 2330?
29
What is the remainder when 939137161 is divided by 6062?
6059
What is the remainder when 167233915 is divided by 1229661?
19
Calculate the remainder when 40337 is divided by 5139.
4364
Calculate the remainder when 3542818 is divided by 3542774.
44
What is the remainder when 2534121 is divided by 27?
9
What is the remainder when 2180063 is divided by 331?
97
Calculate the remainder when 50982751 is divided by 346.
343
What is the remainder when 4160130 is divided by 277341?
15
What is the remainder when 12405425 is divided by 3333?
3332
Calculate the remainder when 15405640 is divided by 15405628.
12
What is the remainder when 699101 is divided by 293?
3
What is the remainder when 59066 is divided by 712?
682
Calculate the remainder when 322109 is divided by 748.
469
Calculate the remainder when 2265539 is divided by 1759.
1706
What is the remainder when 7244048 is divided by 6468?
6356
Calculate the remainder when 445771 is divided by 501.
382
What is the remainder when 732031 is divided by 36601?
11
What is the remainder when 886607 is divided by 3821?
135
Calculate the remainder when 63154634 is divided by 313.
311
What is the remainder when 1369603 is divided by 35118?
1
What is the remainder when 178751 is divided by 35688?
311
Calculate the remainder when 1220324 is divided by 58053.
1211
Calculate the remainder when 4470056 is divided by 14608.
8
What is the remainder when 2764319 is divided by 115178?
47
What is the remainder when 5411878 is divided by 30403?
144
Calculate the remainder when 253922 is divided by 23033.
559
Calculate the remainder when 26867744 is divided by 650.
644
What is the remainder when 1295615 is divided by 38106?
11
What is the remainder when | {
"pile_set_name": "DM Mathematics"
} |
*l**3 - 6 - 22*l - 80/3*l**2.
-2*(l + 1)*(4*l + 3)**2/3
Let h = -7 + 26/3. Factor -2/3 + h*b - b**2 - 1/3*b**3 + 1/3*b**4.
(b - 1)**3*(b + 2)/3
Let b be ((-2)/(-4))/(((-308)/(-33))/14). Factor -1/2*k - b*k**2 + 0 - 1/4*k**3.
-k*(k + 1)*(k + 2)/4
Let s(f) be the first derivative of -f**8/3360 - f**7/280 - f**6/80 + 4*f**3/3 + 1. Let r(h) be the third derivative of s(h). Solve r(n) = 0 for n.
-3, 0
Let t(j) = 2 + j**2 - 3*j**2 + j + j**2 + 0*j**2. Let r be t(2). Suppose 0*c**2 + 0*c + r - 1/3*c**3 - 1/3*c**5 + 2/3*c**4 = 0. What is c?
0, 1
Let b(c) be the second derivative of 4*c**2 + 0 + 1/6*c**4 - 4/3*c**3 - 2*c. Solve b(y) = 0 for y.
2
Factor -12*b**3 + 20*b - 224*b**2 - 8*b**3 - 8 + 232*b**2.
-4*(b - 1)*(b + 1)*(5*b - 2)
Let i(z) be the first derivative of 2*z**5 - 12*z**4/7 + 8*z**3/21 + 8. What is h in i(h) = 0?
0, 2/7, 2/5
Determine w so that -4/7*w**2 + 6/7 - 2/7*w**5 - 10/7*w + 12/7*w**3 - 2/7*w**4 = 0.
-3, -1, 1
Suppose 13 = n + 9. Let 0*u + 0 + u**2 + 5/2*u**3 + 2*u**n + 1/2*u**5 = 0. Calculate u.
-2, -1, 0
Suppose 2 = -q + 2*q - 2*l, 2*q - l = 4. Factor n + 3/4 + 1/4*n**q.
(n + 1)*(n + 3)/4
Factor -40*o**3 - 19*o**4 + 8*o**3 + 3*o**4 + 36*o + 12*o**2.
-4*o*(o - 1)*(2*o + 3)**2
Let t(k) = -9*k**3 + 2*k**2 + 7*k - 7. Let r be 26/(-6) - (-5)/15. Let a(n) = 5*n**3 - n**2 - 4*n + 4. Let m(h) = r*t(h) - 7*a(h). Find x, given that m(x) = 0.
0, 1
Suppose k = -k - k. Factor -2/7*u**3 + k*u + 0*u**2 + 0.
-2*u**3/7
Let g(i) = -12*i + 96. Let n be g(8). Let p be (-1)/(-3)*(-1 + 10). Find s, given that 0 + n*s**2 - 2/5*s**p + 2/5*s = 0.
-1, 0, 1
Let z be 40/(-5) + (-12 - -20). Factor 0 + 2/7*h**3 + 0*h + z*h**2.
2*h**3/7
Determine u so that 1/3*u**2 - 1/3*u + 1/9 - 1/9*u**3 = 0.
1
Suppose -2*z + 24 = -6*z. Let u be 4 + -3*4/z. Factor 4*w**2 - w**2 - 3 - w**2 + 7 + u*w.
2*(w + 1)*(w + 2)
Let b be 1/(-1)*(-1 - (-5)/7). Factor b + 2/7*f**2 + 4/7*f.
2*(f + 1)**2/7
Let d(l) be the first derivative of -l**6/3 + 6*l**5/5 - l**4 - 18. Find s, given that d(s) = 0.
0, 1, 2
Let g(f) be the second derivative of -f**7/126 - 4*f**6/45 - 4*f**5/15 + 25*f. Suppose g(o) = 0. What is o?
-4, 0
Suppose 0 = -7*u + 5*u + 4. Let z be ((-4)/(-2))/((-4)/(-6)). Solve y**5 - 7*y**5 - u*y**2 + 6*y**3 - 2*y**2 + 4*y**4 + 0*y**z = 0.
-1, 0, 2/3, 1
Suppose -49 = -4*k + 3*h, 57 = 4*k + 7*h - 2*h. Let l = k - 5. Factor 20*s**3 - l*s**4 + 10*s + 2*s**4 - 2*s**5 - 2 - 4*s**4 + 4*s**5 - 20*s**2.
2*(s - 1)**5
Let b(m) = -m**3 - 2*m**2 + m + 2. Let d be b(-1). Solve d*v - 8/9*v**2 - 14/9*v**4 + 32/9*v**3 + 0 = 0.
0, 2/7, 2
Let k be (14/6 - 3)*327/(-8). Factor 49/4*p**5 + k*p**3 + 9*p**2 + 63/2*p**4 + p + 0.
p*(p + 1)**2*(7*p + 2)**2/4
What is i in 3 + 19*i**3 + 1 - 3*i**2 - 9*i**3 - 9*i**3 = 0?
-1, 2
Let a = 156 + -154. Factor d + 1/4*d**a + 1.
(d + 2)**2/4
Let u = -28 + 45. Suppose 26 = 3*v + 5*n - 1, u = 5*v - n. Factor 3*f**3 + 3*f**v + 5*f**2 - 2*f**2 - 2*f**4 + 2*f - f.
f*(f + 1)**3
Determine w, given that -4/19*w + 2/19*w**3 + 0 + 2/19*w**2 = 0.
-2, 0, 1
Let z(o) be the second derivative of -o**4/54 + o**3/9 + 4*o**2/9 + 20*o. Factor z(h).
-2*(h - 4)*(h + 1)/9
Let h(t) = t**3 - t**2 + t - 1. Let v(x) = -10*x**3 - 18*x**2 + 138*x - 238. Let w(b) = -12*h(b) - v(b). Factor w(r).
-2*(r - 5)**3
Let f(q) = -q**4 + 1. Let j(d) = 14*d**4 - 2*d**3 - 6*d**2 + 2*d - 8. Let k(b) = 8*f(b) + j(b). Suppose k(u) = 0. Calculate u.
-1, 0, 1/3, 1
Let m(n) be the third derivative of n**8/168 + n**7/42 + n**6/30 + n**5/60 - 11*n**2. Factor m(v).
v**2*(v + 1)**2*(2*v + 1)
Let g(d) be the first derivative of 3 - 1/9*d**3 - 3*d - 1/30*d**5 + 0*d**2 + 1/9*d**4. Let z(k) be the first derivative of g(k). Factor z(c).
-2*c*(c - 1)**2/3
Let s(i) be the first derivative of 2*i**5/35 + 3*i**4/28 - i**2/14 + 7. Factor s(y).
y*(y + 1)**2*(2*y - 1)/7
Factor -8/11*y**2 + 0*y**3 + 0*y + 16/11 + 1/11*y**4.
(y - 2)**2*(y + 2)**2/11
Let c be (46/(-21) - -2)*-3. Let l = 30 + -208/7. Solve -c*k - l - 2/7*k**2 = 0 for k.
-1
Let m(p) be the first derivative of -p**5/15 + p**4/4 - p**3/3 - 5*p**2 + 6. Let i(j) be the second derivative of m(j). Factor i(w).
-2*(w - 1)*(2*w - 1)
Let p(o) = -3*o**5 + 4*o**4 + 8*o**3 + 4*o**2 - 4. Let t(b) = -2*b**5 + 4*b**4 + 7*b**3 + 3*b**2 - 3. Let h(v) = -3*p(v) + 4*t(v). Factor h(w).
w**3*(w + 2)**2
Let a(b) = -b**4 + b**2 + 1. Let f(o) = 12*o**5 - 42*o**4 + 45*o**3 - 18*o**2 + 3*o + 3. Let y = -12 - -13. Let g(d) = y*f(d) - 3*a(d). Factor g(t).
3*t*(t - 1)**3*(4*t - 1)
Suppose j + 2*j = -f, 2*f + 3*j = 0. Factor 1/3*u - 2/3*u**2 + f + 1/3*u**3.
u*(u - 1)**2/3
Let 122 + 4*n**3 - 2*n**5 - n**2 + 4*n**4 - 118 - 2*n - 7*n**2 = 0. What is n?
-1, 1, 2
Let k(f) = -6 + 2*f**2 + 3*f**2 + 3*f**2 + 4*f. Let c = -6 + 0. Let b(m) = -7*m**2 - 3*m + 5. Let h(o) = c*b(o) - 5*k(o). Determine i so that h(i) = 0.
0, 1
Let m(u) be the first derivative of -3 - 1/2*u**3 + 2*u**2 - 2*u. Determine v, given that m(v) = 0.
2/3, 2
Let x be (-5)/(-6)*4/10. Let l = -60 + 60. Let -x*h**2 + 0 + l*h = 0. What is h?
0
Let d(f) be the first derivative of f**4/26 - 2*f**3/13 + 8*f/13 - 15. Factor d(q).
2*(q - 2)**2*(q + 1)/13
Factor 0 + 1/3*n**2 + 4/3*n.
n*(n + 4)/3
Let i(t) be the third derivative of t**6/140 + t**5/42 + t**4/42 - 7*t**2. Factor i(y).
2*y*(y + 1)*(3*y + 2)/7
Let t(l) = 15*l**2 - 40*l + 30. Let i(y) = -8*y**2 + 20*y - 15. Let f(z) = 5*i(z) + 3*t(z). Factor f(r).
5*(r - 3)*(r - 1)
Let d(z) = z**3 - 6*z**2 - z - 3. Let l be d(6). Let p = l + 13. Find r such that -2/3*r**p + 4/3*r**2 + 2/3*r**5 - 4/3*r**3 + 2/3*r - 2/3 = 0.
-1, 1
Let n(t) be the second derivative of -t**6/10 + 3*t**5/20 + 3*t**4/4 - t**3/2 - 3*t**2 + 49*t. Factor n(s).
-3*(s - 2)*(s - 1)*(s + 1)**2
Suppose -4*q = -2*s - 20, 4*s + 10 = -q + 4*q. Factor -11*c**5 - 5*c**3 - 2 - 29*c**3 + 30*c**4 + 20*c**2 + 3*c**5 - q*c**3.
-2*(c - 1)**4*(4*c + 1)
Let u(b) be the first derivative of 20*b**5 - 30*b**4 - 44*b**3/3 + 24*b**2 + 16*b + 3. Suppose u(o) = 0. Calculate o.
-2/5, 1
Let c(f) be the third derivative of 0 - 1/300*f**5 + 0*f**4 + 0*f + 1/1050*f**7 + 3*f**2 + 0*f**3 + 0*f**6. Factor c(i).
i**2*(i - 1)*(i + 1)/5
Let x(c) be the second derivative of -29*c**5/20 - 37*c**4/12 - 4*c**3/3 - 3*c. Let m(d) = -7*d**3 - 9*d**2 - 2*d. Let i(y) = 9*m(y) - 2*x(y). Factor i(h).
-h*(h + 1)*(5*h + 2)
Let n(w) be the second derivative of 1/48*w**4 + 0*w**2 + 8*w + 1/84*w**7 - 1/40*w**6 + 0 + 0*w**5 + 0*w**3. Suppose n(t) = 0. What is t?
-1/2, 0, 1
Let b(o) = -3*o**2 - 12*o - 8. Let u(n) = -24*n**2 - 96*n - 63. Let w(h) = -33*b(h) + 4*u(h). Determine s, given that w(s) = 0.
-2
Let j(r) = r**3 - 7*r**2 - 9*r. Let b be j(8). Let y be (-2)/b*144/27. Factor y*x**5 + 7/3*x**2 + 13/3*x**4 + 0 + 1/3*x + 5*x**3.
x*(x + 1)**3*(4*x + 1)/3
Factor 0*l - 2/5*l**3 + 0*l**2 + 0 - 1/5*l**4.
-l**3*(l + 2)/5
Suppose 3*z = 7*z - 16. Factor -1/3*y - 1/3*y**2 + 1/3*y**3 + 1/3*y**z + 0.
y*(y - 1)*(y + 1)**2/3
Let s(k) = -12*k**2 - 20*k + 8. Let b(h) = 12*h**2 + 20*h - 8. Let q(l) = -4*b(l) - 3*s(l). Factor q(w).
-4*(w + 2)*(3*w - 1)
Let u(c) be the first derivative of 9*c**5/10 + 3*c**4/2 + c**3/2 - 11. Determine a so that u(a) = 0.
-1, -1/3, 0
Let x be (-39)/(-15) - 3 - 1624/(-60). Let -x*o**2 + 22/3*o - 2/3 + 32*o**3 = 0. What is o?
1/4, 1/3
Let m be 3*((-35)/15 - -3). Factor -6/7*u + 0*u**m + 8/7*u**3 + 2/7.
2*(u + 1)*(2*u - 1)**2/7
Let v(m) be the first derivative of -1/24*m**4 - 1/9*m**3 - 9 - 1/12*m**2 + 0*m. Factor v(p).
-p*(p + 1)**2/6
Factor 2/5*d**3 + 0*d**2 + 0*d + d**4 + 0.
d**3*(5*d + 2)/5
Let c = 1/119 - -101/119. Let q = c - 16/35. Factor 2/5 + 0*b - q*b**2.
-2*(b - 1)*(b + 1)/5
Let y be 26/(-91) - 38/(-35). Let b(q) be the first derivative of 6/25*q**5 + 2*q**3 - 9/5*q**2 + y*q + 1 - 11/10*q**4. Factor b(f).
2*(f - 1)**3*(3*f - 2)/5
Let l be (-27)/6*(-16)/36. Let g(b) be the first derivative of 2 + 3/4*b**4 + 0*b + 0*b**l + 3/10*b**5 + 1/2*b**3. Determine u, given that g(u) = 0.
-1, 0
Let k(s) be the third derivative of -s**8/1344 - s**7/420 + s**6/480 + s**5/120 - 2*s**2. Determine o so that k(o) = 0.
-2, -1, 0, 1
Let c(h) = -9*h**2 + h - 15. Let o(r) = 5*r**2 + 8. Let n(t) = 8*t**2 - 1. Let v be n(1). Let q(i) = v*o(i) + 4*c(i). Factor q(g).
-(g - 2)**2
Let x(u) be the first derivative of u**6/75 - u**4/15 + u**2/5 + 7*u + 3. Let h(p) be the first derivativ | {
"pile_set_name": "DM Mathematics"
} |
y**6/20 - 22*y**2. What is c in k(c) = 0?
-2/3, 0, 1
Let g(r) be the first derivative of r**7/7 + 2*r**6/15 - 3*r**5/10 - r**4/3 + 6*r + 6. Let b(h) be the first derivative of g(h). Suppose b(d) = 0. Calculate d.
-1, -2/3, 0, 1
Let y = -3/26 - -47/182. Let k(v) be the first derivative of -2/7*v**3 + 2 + 4/7*v + y*v**2. Suppose k(q) = 0. What is q?
-2/3, 1
Let v(d) be the second derivative of -3/7*d**2 + 0 - 3/28*d**4 - 4*d - 5/14*d**3 + 3/140*d**5 + 1/70*d**6. Solve v(j) = 0.
-1, 2
Let p(q) be the third derivative of q**7/280 + q**6/160 - q**5/80 - q**4/32 + 15*q**2. Solve p(c) = 0 for c.
-1, 0, 1
Let s be 0*9/135 - (-4)/18. Factor -s + 2/3*v + 2/9*v**3 - 2/3*v**2.
2*(v - 1)**3/9
Let l = 331 + -1653/5. Factor -l*b**4 + 0*b**3 + 1/5*b + 2/5*b**2 - 1/5*b**5 + 0.
-b*(b - 1)*(b + 1)**3/5
Factor 10/3*f + 4/3 + 8/3*f**2 + 2/3*f**3.
2*(f + 1)**2*(f + 2)/3
Let n = 9/5 - 7/5. Find g, given that 1/5*g**2 + 1/5 - n*g = 0.
1
Let d(z) be the third derivative of -z**6/24 - z**5/6 + 5*z**4/8 - 4*z**2 - 9. Factor d(u).
-5*u*(u - 1)*(u + 3)
Let q(b) be the third derivative of b**7/70 + 3*b**6/40 + b**5/20 - 3*b**4/8 - b**3 - 4*b**2 + 3. Factor q(z).
3*(z - 1)*(z + 1)**2*(z + 2)
Let b(t) be the third derivative of -t**7/315 + t**5/90 + 5*t**2. Factor b(f).
-2*f**2*(f - 1)*(f + 1)/3
Factor 2/9*n**3 - 2/9*n + 0 + 0*n**2.
2*n*(n - 1)*(n + 1)/9
Let i(g) be the first derivative of g**4/12 + g**3/9 - 9. Find x such that i(x) = 0.
-1, 0
Suppose -2 = -2*g - l, 3 + 1 = 4*g + 5*l. Let n be ((-2 - g) + 3)/2. Factor -2/3*b**3 + n + 2/3*b**2 + 0*b.
-2*b**2*(b - 1)/3
Let v(l) be the first derivative of 2*l**5/5 - l**4 + 2*l**2 + l - 6. Let n(y) be the first derivative of v(y). Find m, given that n(m) = 0.
-1/2, 1
Let x(w) = -21*w**5 + 21*w**4 - 36*w**3 + 66*w**2 - 39*w + 9. Let i(k) = -k**5 + k**3. Let l(j) = -18*i(j) + x(j). Factor l(o).
-3*(o - 3)*(o - 1)**4
Let i = 19 - 17. Suppose -3*n = -l + 5, 4*n - 5*n = l - 5. Factor -p**3 + 0 + 0*p**4 + n*p**i + 1/2*p**5 + 1/2*p.
p*(p - 1)**2*(p + 1)**2/2
Let o(c) be the third derivative of c**6/600 + c**5/300 + 5*c**2. Factor o(p).
p**2*(p + 1)/5
Let c(l) be the third derivative of -l**8/3024 - 2*l**7/945 + l**6/540 + l**5/45 - l**4/24 - 37*l**2. Let c(y) = 0. Calculate y.
-3, 0, 1
Let y be (-583)/(-77) - 3/(-3). Factor -24/7 - 54/7*m**2 - 3/7*m**4 + 3*m**3 + y*m.
-3*(m - 2)**3*(m - 1)/7
Let c(t) be the first derivative of 2*t**5/55 - t**4/22 - 2*t**3/33 + t**2/11 + 14. Let c(j) = 0. What is j?
-1, 0, 1
Let y(r) = -15*r - 90. Let p be y(-6). Factor -2/7*d**2 + p*d + 2/7.
-2*(d - 1)*(d + 1)/7
Let i(v) be the second derivative of v**4/36 - 2*v**3/9 + 2*v**2/3 + 6*v. Factor i(z).
(z - 2)**2/3
Let o(b) = -10*b**3 - 2*b - 4. Let p(y) = -y**3 - y**2 + y - 1. Let l(w) = -o(w) + 8*p(w). Determine g so that l(g) = 0.
1, 2
Let k(x) be the first derivative of 2*x**5/75 + x**4/15 - 2*x**3/15 - 4*x**2/15 + 8*x/15 - 6. What is a in k(a) = 0?
-2, 1
What is f in -108/5*f**2 + 0 + 36/5*f**3 + 108/5*f - 4/5*f**4 = 0?
0, 3
Let x = -10 + 13. Suppose 1 = 2*i - x. Determine b so that 0 - 66/5*b**3 - 4*b**i - 16*b**4 - 2/5*b - 32/5*b**5 = 0.
-1, -1/4, 0
Let h = -5/8 + 37/40. Let j(c) be the first derivative of h*c**2 + 0*c**3 - 3/20*c**4 + 0*c + 2. Determine a so that j(a) = 0.
-1, 0, 1
Let 0*n**3 + 8/3 + 0*n - 10/3*n**2 + 2/3*n**4 = 0. Calculate n.
-2, -1, 1, 2
Suppose -2*l = 4*m - l - 16, -3*m = 5*l - 12. Let o(t) be the second derivative of 0*t**2 + 1/54*t**m - 2/27*t**3 + 3*t + 0. Factor o(d).
2*d*(d - 2)/9
Suppose 2*i + 472 = 4*i. Suppose f + f - i = 0. Determine l so that 8*l + f*l**3 + 55*l**4 + 33*l**2 + 23*l**2 + 15*l**4 = 0.
-1, -2/5, -2/7, 0
Suppose 2 = 5*p - 4*p. Let d(j) = -6*j - 3. Let a(t) = -t**2 - 7*t - 4. Let x(g) = p*d(g) - 3*a(g). Factor x(k).
3*(k + 1)*(k + 2)
Let w = -1 - -2. Determine z so that 18*z**3 - 3*z**2 + 1 - 27*z**4 + 12*z**5 - w = 0.
0, 1/4, 1
Suppose -2/3*b**5 + 0 + 0*b - 2/3*b**2 - 2*b**4 - 2*b**3 = 0. Calculate b.
-1, 0
Find j such that -21/4*j**5 + 4*j**2 + 0 + j - 1/4*j**3 - 17/2*j**4 = 0.
-1, -2/7, 0, 2/3
Let n be (-272)/51*(-18)/4. Let h = 24 - n. Factor h - 2/3*s + 1/3*s**2.
s*(s - 2)/3
Let f(g) = -g**2 - 7*g + 21. Let w be f(-9). Let b(s) be the first derivative of -1/2*s**4 + 0*s**w + 0*s + s**2 + 2. Factor b(y).
-2*y*(y - 1)*(y + 1)
Suppose 21 = 5*c - 4*k, 0 = 3*c - 2*c + k - 6. Factor -28/5*p**3 - 12/5*p**2 - 6/5*p**c + 2/5 - 22/5*p**4 + 2/5*p.
-2*(p + 1)**4*(3*p - 1)/5
Suppose -4/3*p**5 + 4*p + 4*p**4 - 8/3*p**2 - 4/3 - 8/3*p**3 = 0. What is p?
-1, 1
Let z(t) be the first derivative of 1 - t + 3/2*t**2 + 1/4*t**4 - t**3. Determine u so that z(u) = 0.
1
Suppose 60 = d + 11*d. Determine c so that 10/9*c**4 + 2*c**3 + 2/9*c**d + 0 + 14/9*c**2 + 4/9*c = 0.
-2, -1, 0
Let g be 27/5 - 3/(-5). Factor -g*o**2 - 2*o**2 - 11*o**4 + 10*o**3 - 1 - 2*o**2 + 6*o**4 + 5*o + o**5.
(o - 1)**5
Let m(t) be the second derivative of t**5/5 - t**4 + 8*t**2 - 10*t. Let m(a) = 0. What is a?
-1, 2
Let q(y) be the third derivative of 0 + 0*y**4 - 2*y**2 - 1/60*y**6 - 1/20*y**5 + 1/6*y**3 + 0*y. Factor q(v).
-(v + 1)**2*(2*v - 1)
Let p = -13 - -14. Let x(c) be the first derivative of -p - 9/10*c**5 - 37/6*c**3 + 15/4*c**4 + 5*c**2 - 2*c. Factor x(k).
-(k - 1)**2*(3*k - 2)**2/2
Determine o, given that 1/2*o**3 + 5/2*o + 1 + 2*o**2 = 0.
-2, -1
Let i(b) = -b**3 + 7*b**2 - 12*b + 13. Let k be i(5). Solve -2/3*q**k + 1/3*q**4 + 2/3*q - 1/3*q**2 + 0 = 0.
-1, 0, 1, 2
Let l(m) be the second derivative of 4*m**6/15 - m**4/8 - m**3/24 + 15*m. Factor l(x).
x*(2*x - 1)*(4*x + 1)**2/4
Let m = -2 + 2. Suppose -3*z - 13 = -5*x, -3*x + 0*x - z + 5 = m. Factor 0*a**x - 1/2 + 1/2*a**4 - a + a**3.
(a - 1)*(a + 1)**3/2
Let v(m) be the third derivative of -1/6*m**3 - m**2 + 0*m**5 + 0 + 0*m**4 + 0*m**6 + 1/1260*m**7 + 0*m. Let n(a) be the first derivative of v(a). Factor n(k).
2*k**3/3
What is m in 0 - 2/3*m**2 + m**3 - 1/3*m**4 + 0*m = 0?
0, 1, 2
Let c(q) be the first derivative of -6 + 10*q**2 - 8/3*q**3 - 2/3*q**6 - 8*q + 16/5*q**5 - 4*q**4. What is l in c(l) = 0?
-1, 1, 2
Solve 0*n + 0 + 1/6*n**2 - 1/6*n**5 - 1/2*n**3 + 1/2*n**4 = 0.
0, 1
Let d be (1/(-2))/(-4 + (-35)/(-20)). Find m such that 2/9*m**4 - 4/9*m + 0 + 2/3*m**3 - d*m**5 - 2/9*m**2 = 0.
-1, 0, 1, 2
Let m(z) = -z**2 - 5*z + 4. Let c be m(-5). Suppose -5*i + a = -92, c*a + a + 46 = 2*i. Factor 4*s - i*s**3 + 15*s - 4 + 0*s + 14*s**4 - s - 10*s**2.
2*(s - 1)**2*(s + 1)*(7*s - 2)
Let y(o) be the first derivative of -o**7/420 + 7*o**6/720 - o**5/80 + 7*o**3/3 - 6. Let z(b) be the third derivative of y(b). Suppose z(r) = 0. Calculate r.
0, 3/4, 1
Let k(o) = -18*o**2 - 12*o + 2. Let q(j) = 18*j**2 + 12*j - 1. Let t(c) = 3*k(c) + 4*q(c). Factor t(i).
2*(3*i + 1)**2
Determine n so that -4/3*n**2 + 20/3*n - 8 = 0.
2, 3
Suppose 0 = 3*x + 3*k - 6, 4*x = 3*k + 30 - 8. Suppose -2*o - 4 = -x*o. Solve -1/4*g**o - g - 1 = 0 for g.
-2
Let x(k) be the third derivative of 1/100*k**5 + 0 + 4*k**2 + 0*k**3 + 0*k + 0*k**4. Factor x(b).
3*b**2/5
Factor -3/2*s - 3/4 - 3/4*s**2.
-3*(s + 1)**2/4
Determine w so that 2*w**4 + 73*w**2 - w**5 - 43*w**3 + 9*w**4 + 16*w - 72*w + 16 + 0*w**4 = 0.
1, 4
Factor 3*v**3 - 2*v**3 - 2*v**3 + 7 - 3 - 3*v**2.
-(v - 1)*(v + 2)**2
Let b be (-20)/28*(-12)/30. Determine p, given that 0*p + 0 + 4/7*p**2 + b*p**3 = 0.
-2, 0
Suppose -6*m + 20 = -4. Let k(p) be the second derivative of -5/42*p**m - 4/21*p**3 + 0 + 1/7*p**2 - 3*p. Determine l, given that k(l) = 0.
-1, 1/5
Determine n, given that -2*n**4 + 10*n**3 + 18*n - 18*n**2 + 5*n - 4 - 10*n + n = 0.
1, 2
Factor -2/11*i**3 + 2/11*i - 4/11*i**2 + 4/11.
-2*(i - 1)*(i + 1)*(i + 2)/11
Let d(w) be the first derivative of -1/2*w**2 + 1 + 0*w + 1/330*w**5 + 1/132*w**4 - 2/33*w**3. Let f(p) be the second derivative of d(p). Solve f(c) = 0 for c.
-2, 1
Let x(k) = k**3 - 21*k**2 + 21*k - 20. Let c be x(20). Factor 3/4*p + 3/4*p**2 + c.
3*p*(p + 1)/4
Factor p**2 + p**3 - 162 - p**4 - p + 162.
-p*(p - 1)**2*(p + 1)
Factor 18*a + 4*a**2 - 7*a - 15*a.
4*a*(a - 1)
Suppose -2*h - 3*h = -1625. Let x = -967/3 + h. Let -98/3*o**2 - 56/3*o - x = 0. Calculate o.
-2/7
Let i(u) be the second derivative of u**7/42 - u**6/15 - 3*u**5/20 + 2*u**4/3 - 2*u**3/3 - 4*u. Factor i(c).
c*(c - 2)*(c - 1)**2*(c + 2)
Suppose -y + 2*y = 2*o, -3*o + 7 = 2*y. Factor 1/2 | {
"pile_set_name": "DM Mathematics"
} |
rt(3) - (sqrt(3) + sqrt(6)/sqrt(2) + 4)**2).
6*sqrt(3) + 104
Simplify ((sqrt(130) - sqrt(130)*2)/sqrt(10) - (5 + sqrt(26)/sqrt(2)) - sqrt(117)*-3*2)**2.
-160*sqrt(13) + 3353
Simplify (sqrt(34)/(sqrt(2) + (sqrt(6) + sqrt(150) + sqrt(6))/sqrt(3) - sqrt(2)) + 2 + sqrt(34)/sqrt(2) + -4 + (-2*sqrt(17))**2)*1.
8*sqrt(17)/7 + 66
Simplify (sqrt(76) + -2 + -3 + -4)**2 - (6*(sqrt(152) + sqrt(152)*1) + sqrt(152))/(sqrt(16)/(sqrt(6)/sqrt(3))).
-49*sqrt(19) + 157
Simplify (4*((5*sqrt(28))/sqrt(4) + sqrt(7) + sqrt(7)))**2 + (sqrt(7) + (1*sqrt(1008))**2)*-6.
-560 - 6*sqrt(7)
Simplify 6*(4*(6*(0 + sqrt(75) + sqrt(75)) - (-2*sqrt(75) + 0)))**2.
1411200
Simplify (2*sqrt(448)*-1*-5*-5)**2.
1120000
Simplify -4*sqrt(416)/(sqrt(48)/sqrt(6))*6.
-48*sqrt(13)
Simplify (5*sqrt(960))/(sqrt(36)/(2*sqrt(3))) - -2*(-5 + sqrt(80)).
-10 + 48*sqrt(5)
Simplify (6*(sqrt(567) + 4 - sqrt(567)))**2 + -4*(-3 + sqrt(7))*2.
-8*sqrt(7) + 600
Simplify (1*(4*(-3 + 3*sqrt(5)) + 4))**2 + -1.
-192*sqrt(5) + 783
Simplify ((sqrt(171) + sqrt(171)*2*-6)/(sqrt(9) - (sqrt(27)*-2)/sqrt(3)) + (3*sqrt(190) - sqrt(190))/sqrt(10) + -1 + -2*sqrt(19))**2.
22*sqrt(19)/3 + 2308/9
Simplify (2 + (-1*-2*sqrt(5200) + sqrt(5200) - (1 + sqrt(3328) + 1)))**2.
25168
Simplify 2*6*(sqrt(50) + (sqrt(100)*2)/sqrt(2))/((sqrt(1000) - sqrt(40))/sqrt(4)).
9*sqrt(5)
Simplify ((sqrt(343) + 1)*-5 + 1*(sqrt(343) + 1) - (-2*sqrt(343)*-6 + sqrt(343) + -1))**2.
714*sqrt(7) + 99136
Simplify (-1 + sqrt(180) + 2 + sqrt(180) + 3 + sqrt(180)*2*3)**2.
384*sqrt(5) + 11536
Simplify (5 + 5 + (sqrt(72) + (sqrt(72) - (sqrt(72) + (sqrt(72) - (1*sqrt(72) + sqrt(72)))) - sqrt(72)))*5*-6)**2.
-3600*sqrt(2) + 64900
Simplify -2 + sqrt(5) + -2 + (sqrt(15)/(sqrt(3)*2))**2 - sqrt(140)/sqrt(112).
-11/4 + sqrt(5)/2
Simplify (sqrt(77)*2*5*5)/(sqrt(704) + sqrt(704)*1 - sqrt(33)/(sqrt(3)*2)).
100*sqrt(7)/31
Simplify -4*sqrt(396)/(sqrt(225)*-2 + sqrt(9) - sqrt(9)) + -4.
-4 + 4*sqrt(11)/5
Simplify -4*(2*sqrt(2736) + sqrt(2736) + 3 - (sqrt(2736)*2 + 2))**2.
-10948 - 96*sqrt(19)
Simplify 6*(((-2*sqrt(272) + sqrt(272))**2 - sqrt(272))*-5 + 2*sqrt(272) + -2).
-8172 + 168*sqrt(17)
Simplify ((4 + -1 + sqrt(832))**2 + (sqrt(1573) - (sqrt(1573) - (-4*(2 + sqrt(1573)) - sqrt(1573))**2)))*3.
2784*sqrt(13) + 120690
Simplify -1*((0 + sqrt(325) + sqrt(325)*1 + sqrt(325) + sqrt(325) - sqrt(325) - sqrt(325))**2 - (-4*(sqrt(325) + -2))**2).
-320*sqrt(13) + 3964
Simplify ((-3*-2*sqrt(1100) - ((sqrt(1100) - 3*-2*sqrt(1100)) + sqrt(1100)))*4*-3)**2.
633600
Simplify (((sqrt(42)/sqrt(2) + sqrt(21))*-3 + sqrt(21))*3)/(2*sqrt(2268)).
-5*sqrt(3)/12
Simplify -5 + sqrt(891)*1 + ((-1*sqrt(891))**2 + sqrt(891))*-1 - ((sqrt(891) - (-5 + (2*sqrt(891) - sqrt(891)))) + (sqrt(891)*1 + sqrt(891))*-1)**2.
-4485 + 180*sqrt(11)
Simplify ((sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88) + (sqrt(88)*-1 - sqrt(88)) + sqrt(88))*2))/sqrt(4))/((2*sqrt(128))/sqrt(4))*-1.
0
Simplify (-4 + sqrt(2448) + 1)*1 - ((sqrt(51)/sqrt(3)*1 - sqrt(51)/sqrt(12))*-6)**2.
-156 + 12*sqrt(17)
Simplify ((sqrt(440)*-1)/sqrt(10))/(sqrt(1296)/sqrt(9)).
-sqrt(11)/6
Simplify (4*((sqrt(130) - (sqrt(130) - (sqrt(130) - (sqrt(130) + 1*sqrt(130) + sqrt(130))))) + sqrt(130)))/(sqrt(90) + sqrt(90)*4).
-4*sqrt(13)/15
Simplify (3 + (-3 + -4*sqrt(14)/sqrt(8))*-4)**2.
240*sqrt(7) + 673
Simplify (-1 + -2*(2 + (2*sqrt(192) + sqrt(192) + -4 - (sqrt(192)*2 + 5))))**2.
-416*sqrt(3) + 937
Simplify (5 + ((sqrt(162) + -1)*4 - (2 + sqrt(162))*5)*1)**2.
162*sqrt(2) + 243
Simplify (sqrt(35) + (sqrt(35) - (4*sqrt(315))/sqrt(9)))/sqrt(7) - (sqrt(180) + -4 + 4).
-8*sqrt(5)
Simplify ((sqrt(209)/(-2*sqrt(11) + sqrt(11) - sqrt(11)) + 4)*3 + 2 + -2*(1 + sqrt(475)))**2.
-276*sqrt(19) + 10627/4
Simplify (-5 + 2 + sqrt(2299))**2 + (sqrt(114)/(sqrt(18)/sqrt(3)) - (-5 + 0 + sqrt(19)))**2.
-66*sqrt(19) + 2333
Simplify -3*3*((sqrt(100)/(sqrt(2) + sqrt(2) + sqrt(18)))/sqrt(10) + 2).
-18 - 9*sqrt(5)/5
Simplify 3 + (3*(6*(sqrt(17) + -1 - sqrt(17)) - sqrt(17))*-5*-3)**2.
24300*sqrt(17) + 107328
Simplify 4*(sqrt(300) - (-1 + sqrt(300)) - sqrt(300)) + 5*(sqrt(3) - (sqrt(3) + (sqrt(3) + sqrt(3) + 1 + sqrt(3))*-3 + sqrt(3)))**2.
200*sqrt(3) + 1009
Simplify ((sqrt(5) + sqrt(15)/sqrt(3))*4 + -1*sqrt(5)*2)**2 + 2.
182
Simplify ((-1*sqrt(56) + sqrt(56))/sqrt(8) - (sqrt(175) + 0 + sqrt(175) - sqrt(7)))**2 - sqrt(49)/(sqrt(224)/sqrt(2)).
-sqrt(7)/4 + 567
Simplify ((sqrt(390) + sqrt(390) + 4*sqrt(390)*-1)/sqrt(10))/(sqrt(24)/(sqrt(8) + -3*sqrt(16)/sqrt(2))).
4*sqrt(13)
Simplify ((sqrt(343) + (-2*sqrt(343) - sqrt(343)))*4 + 2)**2 - (-3 + (sqrt(343) - (-1 + -1 + sqrt(343))**2)).
-259*sqrt(7) + 22306
Simplify -4*-6*(3 + sqrt(363) + 4 + sqrt(363) + 3 + sqrt(363) + 2).
288 + 792*sqrt(3)
Simplify (sqrt(180) + (sqrt(180) - (0 + sqrt(180)))**2 + sqrt(180))*3 - (-2 + sqrt(180) + sqrt(180) + -3)**2.
-745 + 156*sqrt(5)
Simplify (-4 + (5*(sqrt(448)*-2 + sqrt(448)) + sqrt(448))*4 + -4 + 5 + -2*sqrt(448))**2.
864*sqrt(7) + 145161
Simplify (-1 + -3 + (sqrt(7) - (sqrt(7) - sqrt(35)/sqrt(5)))*4 + 4 + -4)**2.
-32*sqrt(7) + 128
Simplify (4 + (-1 + sqrt(19))**2 - (-5*(sqrt(19) + 0) + sqrt(19))**2)*4.
-1120 - 8*sqrt(19)
Simplify -3*(5 + 6*(1 + sqrt(425) + -2)).
-90*sqrt(17) + 3
Simplify 3*(-2 + sqrt(2592)*-3 + sqrt(2592))**2 + 3.
864*sqrt(2) + 31119
Simplify 6*(0 + -1 + sqrt(175) - (2*sqrt(175)*-1 + sqrt(175)))**2 + 0.
-120*sqrt(7) + 4206
Simplify 4 + (((sqrt(864) + (sqrt(864) - -2*sqrt(864)))*-6)/(sqrt(96)/(sqrt(24)/sqrt(3)) - 3*sqrt(12)*-2))**2.
41668/49
Simplify 1*((-3*sqrt(833))**2*1 + sqrt(833) + -3).
7*sqrt(17) + 7494
Simplify (sqrt(95) + sqrt(95) + 4*1*sqrt(95) + 3*(sqrt(95)*-1 - sqrt(95)))/(6*sqrt(405)*1).
0
Simplify -2*(sqrt(19) - -1*(sqrt(931))**2)*-6*3.
36*sqrt(19) + 33516
Simplify (((-3*(sqrt(54) + sqrt(864)) + sqrt(54))/sqrt(3))/(sqrt(150) + sqrt(150) + sqrt(150)*-3*-2))**2.
147/400
Simplify 0 + (-4*sqrt(40)/sqrt(4))/(sqrt(35)/sqrt(112) - sqrt(5)).
16*sqrt(2)/3
Simplify 4*(-3*sqrt(171)*-3*2)**2.
221616
Simplify (sqrt(972)*1)/(sqrt(4)*4*-1).
-9*sqrt(3)/4
Simplify (4 + sqrt(65)/(sqrt(5) + sqrt(50)/sqrt(10)) - -2*(sqrt(13) + -3*sqrt(1300)))**2.
-460*sqrt(13) + 171989/4
Simplify (5*((sqrt(76)*1 - sqrt(19))*6 + 2*2*-4*sqrt(19)))**2.
47500
Simplify ((sqrt(70) - 3*sqrt(70)*1) + sqrt(70))/(sqrt(640)*-1 - sqrt(10)) + -4.
-4 + sqrt(7)/9
Simplify -5*-5*(5*(3*sqrt(21)/sqrt(3) - (-3 + (sqrt(7) - sqrt(7)*1 - sqrt(7)))))**2.
15000*sqrt(7) + 75625
Simplify (-5 + sqrt(6)/sqrt(2)*4)**2 - (sqrt(27) + -3 + 5).
-43*sqrt(3) + 71
Simplify ((sqrt(104) - (3*sqrt(104)*5 - sqrt(104))) + sqrt(104) + sqrt(104))/(sqrt(6)/(sqrt(36)/(sqrt(12)*3))).
-22*sqrt(13)/3
Simplify (sqrt(4) + sqrt(64)/sqrt(4))/sqrt(2) + -2 + (sqrt(2)*2 + -2 - -5*(sqrt(32) + sqrt(2))).
-4 + 30*sqrt(2)
Simplify (2*-2*sqrt(121) + sqrt(121) - 6*(sqrt(121) + (sqrt(121)*-1 - sqrt(121))))/(-2*sqrt(11)*-2*-2).
-3*sqrt(11)/8
Simplify (0 + (-3 + sqrt(425))*-1 + sqrt(425) + 2*(sqrt(425) + (sqrt(425) - 5*sqrt(425)*-4)))**2.
1320*sqrt(17) + 822809
Simplify ((((sqrt(119) - (sqrt(119) + (sqrt(119) + sqrt(119)*-2 + sqrt(119) - sqrt(119))))*4 + sqrt(119))*2)/(1*2*sqrt(700)))**2.
17/4
Simplify (0 + 2*(sqrt(833)*-2 + sqrt(833)) + -3*-2*sqrt(833))**2.
13328
Simplify ((-6*sqrt(44)*1 + sqrt(44))/sqrt(4) + 5)*-1.
-5 + 5*sqrt(11)
Simplify (sqrt(539)*-2 + -2 - sqrt(539) - (-3 + 0 + sqrt(539)))**2*-1 + -1.
-8626 + 56*sqrt(11)
Simplify sqrt(19) + (sqrt(228)*2)/sqrt(12) + sqrt(304)*6 + -4.
-4 + 27*sqrt(19)
Simplify (-3*6*2*sqrt(12))/((sqrt(4) - -2*sqrt(4)*-2) + -1*sqrt(196)).
18*sqrt(3)/5
Simplify (((sqrt(847) - (sqrt(847) + (sqrt(847) - 2*sqrt(847)) + sqrt(847))) + sqrt(847))*2*5*3)**2 + -1.
762299
Simplify ((sqrt(60)/sqrt(3) - sqrt(20))/sqrt(10) + (0 + sqrt(2))*4 + -4)**2*3.
-96*sqrt(2) + 144
Simplify -1 + (sqrt(88)/sqrt(2))**2 + -1*sqrt(1331)*-1.
11*sqrt(11) + 43
Simplify (sqrt(147) + -6*(sqrt(147) + 0 - sqrt(147))**2 + sqrt(147))*5 - ((sqrt(36)/sqrt(3))/sqrt(4) + (sqrt(3) - (sqrt(12)/(sqrt(20)/sqrt(5)))**2)).
3 + 68*sqrt(3)
Simplify sqrt(30)/(6*(sqrt(6) - sqrt(216)) + sqrt(6)) + (2 + sqrt(245))**2 + sqrt(125)*2.
1101*sqrt(5)/29 + 249
Simplify 5*sqrt(14)/sqrt(2)*-4 + sqrt(847) + sqrt(847) + (sqrt(847) + sqrt(847) + 3*sqrt(847) + -5 - sqrt(847)).
-5 + 46*sqrt(7)
Simplify (5 + (3*(4 + sqrt(1584) + 4))**2)*-5.
-74185 - 8640*sqrt(11)
Simplify -3*-3*((1 + sqrt(24 | {
"pile_set_name": "DM Mathematics"
} |
ermine g*a(o) - 4*q(o).
o
Let z(w) = -6*w**3 - 2*w**2 + 4*w + 1. Let i(p) = 5*p**3 + 3*p**2 - 5*p - 2. Give 2*i(m) + 3*z(m).
-8*m**3 + 2*m - 1
Let c(b) = -b. Let u(x) = -6*x - 1. Suppose 2*d - 2 = 8. Let h(t) = d*c(t) - u(t). Suppose -5*g = -10*g + 5. Let w(f) = f**2 - 4. What is g*w(z) + 2*h(z)?
z**2 + 2*z - 2
Let r(n) = -7*n**2 + 5. Let u(h) = -11*h**2 + 8. Calculate 8*r(y) - 5*u(y).
-y**2
Let l(w) = 5*w**2 - w. Let f(o) be the first derivative of 2 + 0*o + 2*o**3 - 1/2*o**2. Calculate -3*f(h) + 4*l(h).
2*h**2 - h
Suppose -4*g + 7 = -25. Suppose n + g = 4. Let o(h) = -2*h + 3 + 5*h**3 + 4*h - 5*h. Let x(a) = -6*a**3 + 4*a - 4. Determine n*o(p) - 3*x(p).
-2*p**3
Let s(t) = -11*t**3 - 5*t - 5. Let j be 7/(-21)*15*1. Let a(c) = 27*c**3 + 12*c + 12. Determine j*a(y) - 12*s(y).
-3*y**3
Let n(x) = x**3 + 3. Let l(f) = f**3 + 2. Let u(y) = y + 6. Let z be u(-3). Calculate z*l(h) - 2*n(h).
h**3
Let l(o) = -o + 1. Let d(x) = x - 3. Let h(a) = a**3 + 4 + 1 - 2*a - 5 - 2*a**2. Let n be h(3). Determine n*l(g) + d(g).
-2*g
Let l(b) = -b + 1. Let s(m) = 5*m - 6. Let z(i) = i - 1. Let o(w) = -s(w) + z(w). Suppose -5*q + 4*t + 7 = -7, -4*q + 4 = 4*t. Calculate q*l(d) - o(d).
2*d - 3
Let m(w) = 3*w. Let t be -2 - 1 - (1 + -9). Let b(c) = 7*c. Calculate t*m(d) - 2*b(d).
d
Let l(r) be the third derivative of 0*r + 1/24*r**4 - 1/30*r**5 + 4*r**2 - 1/3*r**3 + 0. Let n(g) = -2*g**2 + g - 3. Determine 3*l(u) - 2*n(u).
-2*u**2 + u
Let m(z) = -5*z - 5. Let f(s) = 1. Give -10*f(y) - m(y).
5*y - 5
Let d be (-1)/(2*2/(-4)). Let m(t) = -3*t + 2. Let j be 1 + (-4)/(-1) - 2. Let y(o) = 3*o + o - j*o. Calculate d*m(w) + y(w).
-2*w + 2
Let s(k) = -k**3 + 6*k**2 + 10*k - 4. Let i be s(7). Let o(p) = -20*p - 23. Let y(m) = -7*m - 8. Give i*y(d) - 6*o(d).
d + 2
Let l(g) = -4*g**2 + 6. Let t(h) = 2*h**2 - h - 3. Let i(z) = -3*l(z) - 5*t(z). Let d(v) = 9*v**2 + 21*v - 13. Determine 6*d(b) - 26*i(b).
2*b**2 - 4*b
Let g(d) = 2*d. Let c be g(-1). Let w(f) = -3*f**3 - 2*f**2 + f - 2. Let i(k) = 13*k**3 + 9*k**2 - 4*k + 9. Calculate c*i(v) - 9*w(v).
v**3 - v
Let q(j) = -7373*j**3 + 292*j + 292. Let h(o) = -76*o**3 + 3*o + 3. What is 292*h(x) - 3*q(x)?
-73*x**3
Let d(v) = -v**2 + v + 1. Let x(g) = g**3 - 7*g**2 + 3*g + 9. Let m(c) = -c**3 + 7*c**2 - 4*c - 8. Let j(z) = 3*m(z) + 2*x(z). What is 6*d(f) + j(f)?
-f**3 + f**2
Let l(c) = 2*c + 4. Let q(n) = n**2 + 1. What is -l(k) + 4*q(k)?
4*k**2 - 2*k
Let s(w) = -w**2 + 1. Let f(b) = -6*b**2 - 4*b + 3. Give f(i) - 5*s(i).
-i**2 - 4*i - 2
Let z(o) = -2*o**3 + o + 5. Let r(c) = -1. What is 5*r(s) + z(s)?
-2*s**3 + s
Let n(j) = 4*j + 1. Let v(r) = -4*r - 2. Calculate -5*n(f) - 4*v(f).
-4*f + 3
Suppose 12*f - 13 - 23 = 0. Let j(u) = 0*u - 5*u - 1 - 3. Let d(t) = -14*t - 11. Let n(r) = 9*r**3 + 2*r**2 + r. Let o be n(-1). Give f*d(i) + o*j(i).
-2*i - 1
Let b(q) = -3*q**2 - 3*q + 5. Let y(k) = -k**2 - k + 1. Determine b(g) - 2*y(g).
-g**2 - g + 3
Let h(v) = v - 1. Let r = 14 + -10. Suppose 3*g - 6*g = -5*l + 2, -5*l = -g - r. Let j(i) = -3*i + 4. Let u be (-4 - -7)*(-4)/(-6). Calculate l*j(x) + u*h(x).
-x + 2
Let i(n) = 7*n - 3. Let u(k) = -k - 1. Determine i(y) - 3*u(y).
10*y
Let z(j) = -4*j**3 - 8*j**2 - 6*j + 8. Let p be (7 + 5)*1/(-2). Let f(r) = -r**3 - r**2 - r + 1. What is p*f(g) + z(g)?
2*g**3 - 2*g**2 + 2
Let i(z) = 2*z + 19*z**2 + z + 6*z + 2*z - 7. Let t(u) = 56*u**2 + 34*u - 20. Let k(g) = 17*i(g) - 6*t(g). Let a(d) = 3*d**2 + 4*d. Determine 9*a(q) + 2*k(q).
q**2 + 2*q + 2
Let a(w) = w**2 + w - 1. Let m(k) = -60*k**3 + 30*k**3 + 3 - 2*k + 31*k**3 - 2*k**2. Give -2*a(p) - m(p).
-p**3 - 1
Let u(n) = -15*n**2. Let o(v) = 7*v**2. Let m(x) = -2*x**2 + 11*x - 6. Let i be m(4). Give i*u(h) + 13*o(h).
h**2
Let f(c) = 2*c**3 - c**2 - 1. Suppose -p + 4*p = 15. Let i(a) = -2 + 0*a + 0*a + 4*a**3 - a**2. Let j be 2 - (-2)/((-8)/20). Determine j*i(g) + p*f(g).
-2*g**3 - 2*g**2 + 1
Let r(m) = -2*m**2 + 2*m. Let f(t) be the second derivative of t**4/6 - t**3/6 - 3*t. What is 5*f(b) + 4*r(b)?
2*b**2 + 3*b
Let h(l) = -2*l**2 - l. Let t(n) = -2*n**2 - n. Suppose 9*v = 4*v + 35. Suppose v*u + 35 = -3*w + 2*u, -3*w + 3*u = 3. Calculate w*h(z) + 6*t(z).
-2*z**2 - z
Let w(h) = -6*h**2 + 3*h - 6. Let v be (-1)/(-2)*(4 + -4). Let p(c) = -3*c + v*c - 5 + 4*c - 5*c**2 + c. Calculate -4*p(q) + 3*w(q).
2*q**2 + q + 2
Let n(t) = t + 2. Let d(v) be the second derivative of -5*v**3/6 - 11*v**2/2 - 6*v. Determine 4*d(u) + 22*n(u).
2*u
Let d(u) = -4*u**2 + 7*u. Suppose -5*j = -2*y - 56, 4*y - 44 = -j - 2*j. Let g(c) = 2*c + 2 - 13*c**2 + j*c**2 - 2. Give -4*d(x) + 14*g(x).
2*x**2
Let z(a) = -36*a**3 - 16*a**2 + 30*a. Let g(v) = -7*v**3 - 3*v**2 + 6*v. Give 16*g(o) - 3*z(o).
-4*o**3 + 6*o
Let d(v) = -3*v**3 + 6*v**2 + 6. Let i be 7/14 + 38/4. Let r(l) = -2 + 8*l**2 + l**3 + 0*l**3 - i*l**2. Calculate 2*d(m) + 7*r(m).
m**3 - 2*m**2 - 2
Let a(z) = -6*z**3 - 3*z + 3. Let l(h) = 11*h**3 + 5*h - 5. Let r(c) = -c + 5. Let n be r(0). Determine n*a(f) + 3*l(f).
3*f**3
Let z(q) = -1. Let x(a) = 2*a + 10. Give -x(s) - 5*z(s).
-2*s - 5
Let z(v) = 4*v + 4. Suppose 5*r + 0*r - 15 = 0. Let q(k) = -k - 1. Let u(d) = d. Let p be u(1). What is p*z(h) + r*q(h)?
h + 1
Let r(d) = -9*d**2 - 15*d + 12. Let k(z) = 5*z**2 + 8*z - 6. Determine 11*k(m) + 6*r(m).
m**2 - 2*m + 6
Let q(n) be the first derivative of -17*n**4/4 - 5*n**3/3 + 7*n**2/2 - 7*n + 5. Let x(z) = 8*z**3 + 2*z**2 - 3*z + 3. Calculate -3*q(t) - 7*x(t).
-5*t**3 + t**2
Let q = -12 - -8. Let t(z) = 3 - 11*z - 8 + 22*z**2 - 11 - 17*z**2. Let v(g) = g**2 - 2*g - 3. What is q*t(c) + 22*v(c)?
2*c**2 - 2
Let c(t) = 5*t**3 - 6*t**2 - 6*t - 1. Let n(p) = 4*p**3 - 5*p**2 - 5*p - 1. Let j be 4 - 14 - (-1 + 3). Let i be 1/(2 - (-26)/j). Calculate i*n(r) + 5*c(r).
r**3 + 1
Let b(g) = -g**2 + 11*g - 9. Let r(y) = -12*y**2 + 144*y - 117. Let s(x) = -27*b(x) + 2*r(x). Let d(p) = -p**2 + 4*p - 4. Give 9*d(j) + 4*s(j).
3*j**2
Let v(u) = 6*u - 11. Let z(f) = -2*f + 4. Calculate -3*v(h) - 8*z(h).
-2*h + 1
Let c = 21 - 20. Let n be 91/26 + c/(-2). Let v(r) = -4*r**2 - 3. Let u(m) = -m**2 - 1. Give n*u(q) - v(q).
q**2
Let r(b) = 152*b**2 + 76. Let j(u) = -u**2 - 1. What is -76*j(a) - r(a)?
-76*a**2
Suppose 5*c = 65 - 5. Let k = c + -7. Let s(j) = 2 + 3 - j - 4*j**2 - 7*j. Let l(i) = -3*i**2 - 7*i + 4. Determine k*s(z) - 6*l(z).
-2*z**2 + 2*z + 1
Suppose c + 6 = 2*j, -3*c + c = 8. Suppose -3 + j = -k. Let i(w) be the first derivative of w**2 - 3*w - 2. Let p(s) = -8*s + 13. Calculate k*p(m) + 9*i(m).
2*m - 1
Let g = 24 - 21. Let k(q) = -7*q + 3. Let a(h) = 1. Determine g*a(v) - k(v).
7*v
Let m be (-3 - -10)/(1/2). Let r(q) = -4*q - 1 + q + 2*q. Let i(z) = z**2 - 7*z - 7. Determine m*r(s) - 2*i(s).
-2*s**2
Let m(v) = -v**3 - 1. Suppose -3*w = -17*w - 56. Let x(y) = 5*y**3 + y + 2. Give w*m(s) - x(s).
-s**3 - s + 2
Let o(a) = -1. Let x(l) = -6 - 10*l + 4*l + 5*l. Calculate 6*o(y) - x(y).
y
Let a(b) be the third derivative of -b**3/6 - 2*b**2. Let z be -2*(-1)/(-4)*2. Let v(g) = 2*g - g + 0*g - 1 + 3. Give z*v(x) - 4*a(x).
-x + 2
Let r(u) = -u - 1. Let o(s) = 4*s + 5. Determine -2*o(i) - 11*r(i).
3*i + 1
Let n(b) = 2*b + 4*b + 69 + 6*b**2 + b**3 + 2*b**3 - 64. Let f(w) = 2*w**3 + 5*w**2 + 5*w + 4. Determine 5*f(k) - 4*n(k).
-2*k**3 + k**2 + k
Let u(g) = g**3 + g**2 + g - 1. Let z(h) = -24*h**3 - 3*h + 5 - 2*h + 7*h**3 + 11*h**3 - 8*h**2. What is 5*u(o) + z(o)?
-o**3 - 3*o**2
Let w(i) = -1. Let v be (10/(-15))/(1/(-15)). Let l(y) = 4*y + 29. Let r(u) = -1 + u - 3*u - 13. Let t(a) = -2*l(a) - 5*r(a). Give v*w(g) + t(g).
2*g + 2
Let u(f) = -4*f**2 - f + 7. Let o(k) = -3*k**2 - 2*k + 6. Calculate 5*o(g) - 4*u(g).
g**2 - 6*g + 2
Let q = 1 + -3. Let p(r) = -r - 1. Let z(d) = 8*d - 6. Let l(a) = q*p(a) - z(a). Let c = 11 - 14. Let n(w) = -2*w + 3. Give c*l(m) + 8*n(m).
2*m
Let y(f) = -3*f + 11. Let q(g) = 2*g - 10. Give 5*q(v) + 4*y(v).
-2*v - 6
Let p(j) be the first derivative of j**3/3 + j**2/2 + j + 33. Let l(n) = 4*n**3 - 5*n**2 - 6*n - 5. Determine -l(u) - 5*p(u).
-4*u**3 + u
Let v(r) = -3*r + 1126 - 1126. Let q(y) be the third derivative of 0*y**3 - 1/24*y**4 - 2*y**2 + 0 + 0*y. Determine 7*q(m) - 2*v(m).
-m
Let w(n) = -2*n**2 - 8*n + 2. Let j(o) = o**3 + 5*o**2 + 15*o - 5. Give -2*j(s) - 5*w(s).
-2*s**3 + 10*s
Let c(x) = -6*x**2 - 13*x - 13. Let | {
"pile_set_name": "DM Mathematics"
} |
= -15*t. Calculate n(k(h)).
-15*h
Let v(b) = 2*b. Let k(q) = 22*q - 45*q + 27*q. Calculate v(k(i)).
8*i
Let h(l) = -61*l. Let r(n) = -48*n**2. Calculate h(r(o)).
2928*o**2
Let m(q) = -7*q**2. Let f(g) be the second derivative of -g**4/6 - 4*g. Determine f(m(s)).
-98*s**4
Let d(w) be the first derivative of -w**3/3 - 1. Let q be (8/10)/((-7)/(-35)). Let c(x) = q*x + 2*x - 13*x + 9*x. What is c(d(m))?
-2*m**2
Let l(j) = -j. Let u = 2 - 0. Let g(r) = -3 - 13*r**2 + 3 + 8*r**u. Give l(g(d)).
5*d**2
Let a(g) = g**2. Suppose -4*y = y + 3*h - 32, -4*h + 28 = 3*y. Suppose -9 = -3*w - x - 0*x, -2*x = -y*w + 22. Let t(f) = -f + w*f + 0*f. Determine t(a(q)).
3*q**2
Let j(m) = -4*m. Let w(k) = -2*k**2 + 4*k - 441. What is j(w(p))?
8*p**2 - 16*p + 1764
Let b(k) = -8*k. Let r(l) = 30*l. What is r(b(w))?
-240*w
Let k(z) = -7*z**2 + 4*z - 4. Let t(j) = 135*j**2 - 75*j + 75. Let h(a) = -75*k(a) - 4*t(a). Let i(w) = 3*w**2. Calculate i(h(r)).
675*r**4
Let r(s) = -4*s + 2. Let k(v) = 19*v**2. What is k(r(j))?
304*j**2 - 304*j + 76
Let a(l) = 2*l**2. Let j(p) = -1. Let b(r) = 8*r - 72. Let c(n) = -2*b(n) + 144*j(n). What is a(c(z))?
512*z**2
Let u(l) = -8*l + 4. Let i(c) = 106*c**2. Give i(u(z)).
6784*z**2 - 6784*z + 1696
Let p(b) = -b**2. Let l(j) = 32*j. Calculate l(p(a)).
-32*a**2
Let i(p) = -6*p. Let y(t) = 3*t**2 + 2*t - 1. Let x be y(1). Let w(l) = l + 0*l + 4*l. Let d(g) = x*i(g) + 5*w(g). Let r(u) = -4*u. Calculate r(d(k)).
-4*k
Let g(f) = -308*f**2. Let p(a) = 2*a**2. Calculate p(g(k)).
189728*k**4
Let h(u) be the second derivative of -u**4/6 - 2*u. Let o(c) be the first derivative of -c**3 - 3. Calculate o(h(f)).
-12*f**4
Let g(l) = 6*l**2 - 8*l. Let d(j) = 4*j**2 - 5*j. Let u(r) = 8*d(r) - 5*g(r). Let v be (-18)/(-15)*20/8. Let m(s) = 5*s + v*s - 8*s + s**2. Determine u(m(f)).
2*f**4
Let a(m) = -11*m - 13. Let f(h) = -63*h. Give f(a(s)).
693*s + 819
Let y(z) = 21*z. Let m(h) = 19*h**2. Determine m(y(o)).
8379*o**2
Let z(b) = 5307*b**2. Let w(d) = -3*d**2. What is w(z(k))?
-84492747*k**4
Let u(n) = -2 - 7*n + 2 + n. Let s(l) = -3*l**2 - 5. Let t(c) = -3*c**2 - 4. Let a(m) = -4*s(m) + 5*t(m). What is u(a(r))?
18*r**2
Let p(u) = -2*u. Let w be (0 - (0 - -1))*-3. Let o(h) = -6*h + w*h + 4 - 4. Give o(p(r)).
6*r
Let h(g) = -9*g. Let v(w) = -2*w + 186. Give v(h(j)).
18*j + 186
Let i(u) = u**2. Let w(y) = y**2 - y + 1. Let t(l) = -91*l**2 + 78*l - 78. Let h(a) = -t(a) - 78*w(a). Give h(i(p)).
13*p**4
Let o(m) = -8*m. Let h(s) be the third derivative of s**5/30 + 29*s**2. Give o(h(u)).
-16*u**2
Let u(q) = q + 9. Let g(o) = 2*o. Give u(g(h)).
2*h + 9
Let b(c) = -c. Let z(x) = 6*x**2 + 30. What is b(z(f))?
-6*f**2 - 30
Let d(u) = -5*u**2 + 3*u**2 + u**2. Let s(y) = 5*y**2 + 6*y. Let f(i) = 14*i**2 + 17*i. Let k(q) = -6*f(q) + 17*s(q). What is d(k(n))?
-n**4
Let s(k) = -2*k + 256. Let r(h) = -5*h**2. Determine s(r(p)).
10*p**2 + 256
Let v(r) = -26*r. Let m(a) = -5*a**2. What is v(m(g))?
130*g**2
Let m(t) = 2*t. Let x(p) = -15*p - 3 + 6 + 20*p - 4. What is x(m(l))?
10*l - 1
Let g(p) = 30*p. Let c(q) = 3*q + 5*q - 6*q - q. Calculate c(g(y)).
30*y
Let h(b) = b. Let u(n) = 2*n. Let f(k) = -7*h(k) + 4*u(k). Let r(t) be the third derivative of 0 + 0*t**3 + 0*t + 1/24*t**4 + 5*t**2. Give r(f(i)).
i
Let a(d) = 2*d. Let i(f) = 869*f. Determine a(i(j)).
1738*j
Let u(r) = -r. Let o(l) = -8*l**2 - 7*l + 7. Let x(g) = -g**2 - g + 1. Let z(w) = 3*o(w) - 21*x(w). What is u(z(i))?
3*i**2
Let s(l) = l + 1. Let u = -4 - -8. Let h(p) = 4*p**2 + u + 3*p - 4*p + 5*p. Let f(g) = -h(g) + 4*s(g). Let v(z) = -z**2. Give v(f(i)).
-16*i**4
Let w(f) = f. Let x(k) be the second derivative of 4*k**3/3 + 3*k + 11. Calculate x(w(o)).
8*o
Let z(j) = 14*j**2 - 5. Let x(p) = -7*p**2 + 2. Let t(m) = 5*x(m) + 2*z(m). Let d(o) = -2*o. What is t(d(q))?
-28*q**2
Let k(o) = 2*o. Let z(u) be the third derivative of u**5/40 + u**3/6 - u**2. Let d(h) be the first derivative of z(h). What is d(k(f))?
6*f
Suppose -5*o + 4 = -w - 14, -3 = w. Let b(n) = -5*n**2 + 3*n**2 + o*n**2. Let a(y) = -y. Calculate a(b(v)).
-v**2
Let h(b) be the second derivative of 1/6*b**3 + 0*b**2 + 0 - 3*b. Let x(z) = 2*z. Calculate h(x(u)).
2*u
Let d(v) = -v**2. Let n(t) = -717*t. Determine n(d(w)).
717*w**2
Let v(k) = 522*k**2. Let l(s) = s. Calculate l(v(x)).
522*x**2
Let k(j) = -4*j. Let s(t) = -5*t. Let z(n) = 6*k(n) - 5*s(n). Let f(o) be the first derivative of o**2/2 + 2. What is f(z(c))?
c
Let x(m) = -2*m**2. Let w(t) = 7*t**2. Let f(o) = -4*o**2. Let b(v) = -5*f(v) - 3*w(v). Give b(x(l)).
-4*l**4
Let i = 13 + -9. Let d(s) = i*s - 7*s + 0*s. Let j(v) = -2*v. Calculate d(j(b)).
6*b
Let w(n) = -4*n**2 - 2*n**2 + 5*n**2 + 7*n**2. Let o(l) = -l. Give o(w(v)).
-6*v**2
Let n be (0 - 10)*(-1)/2. Let m(o) = 3*o**2 - n*o**2 - 2*o**2. Let j(g) = g**2. What is m(j(v))?
-4*v**4
Let o(z) = -3*z. Let r(l) = l**2 - 12*l. Let f be r(12). Let b = f + 2. Let i(t) = 6*t**2 - t**2 - t**b. What is i(o(y))?
36*y**2
Let j(q) = -5*q. Let r(u) = -9*u. Let l(b) = -11*j(b) + 6*r(b). Let h(f) = f**2 + 5*f**2 - 2*f**2. Calculate h(l(d)).
4*d**2
Let t(o) be the first derivative of o**3/3 + o**2 + 2*o + 3. Let y be t(-2). Let u(z) = 1 - 3 - y*z**2 + 2. Let p(a) = a**2. Determine u(p(x)).
-2*x**4
Let q(o) be the third derivative of o**4/12 - o**2. Suppose y = 3 - 1. Let b(i) = 4 - 4*i**y - 4 + 5*i**2. Calculate q(b(x)).
2*x**2
Let x(h) = -477*h. Let f(s) = s**2 - 2. Determine x(f(r)).
-477*r**2 + 954
Let a(u) = -3 + 68*u**2 - 67*u**2 + 3. Let t(w) be the second derivative of -w**4/6 + w. What is a(t(d))?
4*d**4
Let r be ((-12)/(-12))/(2/126). Let u(q) = 4*q - 63 + r. Let n(h) = -h**2. Determine n(u(f)).
-16*f**2
Let l(y) = 6*y. Let b(f) = -2*f + 4852. Give l(b(g)).
-12*g + 29112
Let b(x) = -16*x - 2. Let w(h) = -3*h**2. Determine w(b(z)).
-768*z**2 - 192*z - 12
Let v(f) be the third derivative of -f**8/6720 + f**5/30 + f**2. Let t(r) be the third derivative of v(r). Let p(w) = -5 - 2*w**2 + 5. Give t(p(a)).
-12*a**4
Suppose -4*o = -4*g + 960, -3*g + 5*o + 256 = -2*g. Let z(n) = g*n - 6*n**2 - 236*n. Let c(r) = -r**2. Calculate z(c(m)).
-6*m**4
Let q(c) = 63*c**2. Let p(x) = 13*x**2. Give p(q(w)).
51597*w**4
Let b(t) = 5*t**2 - 4*t**2 + t**2. Suppose 2*d - 12 = -2*o, -5*o + 2*d + 22 = 3*d. Let m(a) = 2*a + a - o*a. Calculate b(m(l)).
2*l**2
Let p(u) = 2*u. Suppose 5*v = 5 + 5. Let z(n) = -13 + v*n + 13. Determine z(p(c)).
4*c
Let z(u) = -4*u**2 + 0*u**2 - 5*u**2 - 3*u**2. Let q(l) be the first derivative of l**2 - 2. What is q(z(o))?
-24*o**2
Let p(x) = -3*x. Let u(d) = -6*d + 7. Let j(g) = 2*g - 2. Let z(l) = -7*j(l) - 2*u(l). Calculate p(z(v)).
6*v
Let x(i) = -5*i**2 - 3*i**2 - 11*i**2 + 2*i**2. Let w(k) = -4*k. Calculate x(w(a)).
-272*a**2
Let s(l) = -5*l**2 - 36*l. Let o(y) = 3*y. What is o(s(u))?
-15*u**2 - 108*u
Let k(v) = 410*v. Let u(p) = p. Calculate k(u(h)).
410*h
Let z(o) = 7*o. Let w(r) = -5*r**2 - 6*r. Determine w(z(f)).
-245*f**2 - 42*f
Let z(p) = 201*p + 4. Let n(m) = -2*m. Determine z(n(o)).
-402*o + 4
Let y(o) = 1188*o**2. Let i(d) = -3*d**2. Determine i(y(b)).
-4234032*b**4
Let z(c) be the first derivative of -c**2/2 + 2. Let f(t) = 13*t**2. Calculate f(z(l)).
13*l**2
Let h(g) = 6*g + 5. Let n(s) = s + 1. Let c(y) = -h(y) + 5*n(y). Let p(q) be the first derivative of q**2 - 2. What is p(c(r))?
-2*r
Let l(a) = -a. Let t(h) = h**2 + 7*h + 5. Let v be t(-7). Suppose -4*s + j = -15, v*s + 3*j - 50 = -2*j. Let x(g) = s*g - 4*g - 3*g. Calculate x(l(y)).
2*y
Let n(q) = -4*q**2 + 4*q. Let f(d) = d. Determine n(f(g)).
-4*g**2 + 4*g
Let b = 2 - 2. Let c(t) = b*t + 5*t - 4*t. Let o(x) = -5*x**2 - 6. Let n(i) = i**2 + 1. Let f(m) = -6*n(m) - o(m). What is f(c(p))?
-p**2
Let c(w) = -5*w. Let q(x) = -x**2 + 12*x + 13. Let z be q(13). Let y(h) be the third derivative of 0 + 0*h**3 - 1/12*h**4 - 2*h**2 + z*h. Determine y(c(u)).
10*u
Let n(p) be the first derivative of -p**5/15 + p**2 + 5. Let v(d) be the second derivative of n(d). Let o(f) = f + 0 + 0. Determine o(v(i)).
-4*i**2
Let v(z) = 5*z - 4. Let a(r) = 11*r - 9. Let m = 15 + -11. Let y(x) = m*a(x) - 9*v(x). Let c(l) = 5 - 5 - l. What is y(c(o))?
o
Let p(r) = 2*r. Let y be (-3)/(((-27)/12)/3). Let i(j) = y*j**2 + j**2 - 4*j**2. Calculate i(p(k)).
4*k**2
Let s(a) = -2*a**2. Let p(x) be the first | {
"pile_set_name": "DM Mathematics"
} |
-7*d(t) + 3*f(t). Let a(u) = u. Give -4*a(n) - c(n).
n**2
Let l(q) = 8*q**2 + 1. Let r(n) = n + 6. Let a be r(0). Let b(g) = 17*g**2 + 2. What is a*b(p) - 13*l(p)?
-2*p**2 - 1
Let d(p) = -2*p**3 - 4*p**2 + 5*p - 3. Let k(r) = -3*r**3 - 7*r**2 + 9*r - 5. Give 5*d(n) - 3*k(n).
-n**3 + n**2 - 2*n
Let a(x) = 2*x**2 - 5*x + 1. Let s(v) = -5*v - 9 - v**2 - v + 10 + 3*v**2. Determine -6*a(b) + 5*s(b).
-2*b**2 - 1
Let s(q) = -q**3 + q**2 + 1. Let l be 0 + 1 + (1 - 0). Suppose -l = -7*f + 5*f. Let i(u) = 2*u**3 - 4*u**2 + u - 6. Calculate f*i(k) + 4*s(k).
-2*k**3 + k - 2
Let m(s) = s**3 - s**2 + s. Let w(h) = -9*h**3 + 2*h**2 - 2*h. What is 6*m(d) + 3*w(d)?
-21*d**3
Suppose 0 = 5*l - 15 - 10. Suppose l*n = 9*n - 12. Let x(d) = d**2 - 2*d. Let p(g) = -g + 5*g - 2*g**2 + 0*g. Calculate n*p(y) + 7*x(y).
y**2 - 2*y
Let r(q) = -q**3 + 0*q**3 + 0*q - 3*q + 3*q**2. Let n(f) be the third derivative of -f**6/60 + f**5/15 - f**4/6 - 2*f**2. Give 3*n(z) - 4*r(z).
-2*z**3
Let w(s) = 6*s + 7. Let c(i) = -9*i - 10. Calculate 5*c(v) + 7*w(v).
-3*v - 1
Let i be (-2)/(-3)*18/(-4). Let j(y) be the second derivative of -5*y**4/12 - 5*y**2/2 + 2*y. Let o(r) = 2*r**2 + 2. Give i*j(f) - 8*o(f).
-f**2 - 1
Let q(n) = 11*n - 17. Let d(c) = -4*c + 6. Let b = 13 + -19. Give b*q(t) - 17*d(t).
2*t
Let a(w) = 2*w**3 + 1. Let i(y) = -2*y**3. Let c(f) = 14*f + 10. Let d be c(-1). Calculate d*a(r) - 5*i(r).
2*r**3 - 4
Let p(w) = -w - 6. Let f = -5 - -9. Let t be 44/(-6)*(-6)/f. Let y(o) = -4 - 2*o - 6 - 1. What is t*p(h) - 6*y(h)?
h
Let o(z) = -z**2 - 2*z + 2. Suppose -3*v - 2*f - 2 + 4 = 0, v - f - 9 = 0. Let u(i) = 2*i**2 + 3*i - 3. What is v*u(d) + 7*o(d)?
d**2 - 2*d + 2
Let o(h) = -49*h**2 + 17*h. Let z(q) = 8*q**2 - 3*q. Give -6*o(i) - 34*z(i).
22*i**2
Let p(i) = 5*i**2 + 4*i + 1. Let d(m) = m**2 + m. Determine -9*d(j) + 2*p(j).
j**2 - j + 2
Let l(t) = t**3 + 5*t**2 + 8. Let g(v) = 0*v**2 - 2 + 4 + v**2. Let z be (-18)/(-12) - (-1)/2. What is z*l(d) - 9*g(d)?
2*d**3 + d**2 - 2
Let i(h) = 7*h**3 - 5. Let s(d) be the first derivative of -7*d + 0*d**3 + 5/2*d**4 + 3 + 0*d**2. Calculate -7*i(k) + 5*s(k).
k**3
Let q(a) = -3*a. Let p be q(3). Let z be (15/p)/(-5)*-3. Let s(d) = -d**3 - d**2 - d. Let c(u) = -2*u**2 - 2*u + 1. Determine z*c(b) + 2*s(b).
-2*b**3 - 1
Let d(s) = -s**2 - 7*s - 3. Let h(t) = t**2. Let c(x) = -d(x) - 5*h(x). Let w(v) = -5*v**2 + 8*v + 4. Give 6*c(m) - 5*w(m).
m**2 + 2*m - 2
Let l(i) = 10*i - 1. Let m(c) = 20*c - 2. Calculate 7*l(f) - 4*m(f).
-10*f + 1
Let g(f) = -13*f**2 + 9*f - 29. Let i(a) = 19*a**2 - 13*a + 44. What is -7*g(v) - 5*i(v)?
-4*v**2 + 2*v - 17
Let k(f) = 3*f**3 + 17*f**2 - 11*f - 20. Let h(n) = n**3 + 6*n**2 - 4*n - 7. Suppose -26 = 3*r + 3*y - 5*y, 0 = 5*r + 2*y + 22. Determine r*k(t) + 17*h(t).
-t**3 - 2*t + 1
Let c(r) = r**3 + 5*r**2 - 2*r - 11. Let n be c(-5). Let d(l) = 3*l + 1. Let w be (-6)/((3/(-2))/(-1)). Let y(a) = -a. What is n*d(k) + w*y(k)?
k - 1
Let w(f) = 60*f**2. Let l(y) = 120*y**2. Calculate -4*l(o) + 7*w(o).
-60*o**2
Let n(i) = 4*i**3 - 3*i**2 + 3*i - 3. Let t(y) = 3*y + 2*y**2 + 4*y - y - 8*y - 3*y**3 + 2. Calculate -2*n(f) - 3*t(f).
f**3
Let q(x) = -x**3 + 6*x**2 + 4*x. Let l(a) = a**2 + 14*a - 22. Let j be l(-15). Let o(c) = c**3 - 7*c**2 - 5*c. What is j*q(f) - 6*o(f)?
f**3 + 2*f
Let c(x) = 11*x**2 + 3*x - 2. Let u(o) = -10*o**2 - 2*o + 2. What is -2*c(y) - 3*u(y)?
8*y**2 - 2
Let f(s) = 25*s - 1. Let o(k) = 5*k. Suppose 0 = 3*b + 6, -2*d - 6 - 8 = 5*b. What is d*f(i) + 11*o(i)?
5*i + 2
Let a(g) = 49*g**2 + 49*g. Let h(m) = -3*m**2 - 3*m. Let y(v) = -4*a(v) - 63*h(v). Let p(x) = 3*x**2 + 3*x. Calculate 5*p(r) + 2*y(r).
r**2 + r
Let w(g) = 4*g**2 - 7*g + 7. Let v(x) = -3*x**2 + 5*x - 5. Determine -7*v(c) - 5*w(c).
c**2
Suppose s - 8 = 4*o + 4*s, s = -4. Let f(z) = 11 - 2*z - 3*z - 8 + 3*z. Let x(m) = m**2 - 1. Give o*f(y) + x(y).
y**2 - 2*y + 2
Let n(r) = -2*r - 3. Let v(k) = 10*k + 14. Let y(j) = -3*j - 13. Let u be y(-9). Let x(a) = -2 + 1 - a + 3*a. Let w be x(2). Determine u*n(o) + w*v(o).
2*o
Let h be 6*(-4)/8 - -6. Let j(i) = 5*i**3 + 3*i**2 - 3. Let q(a) be the third derivative of -11*a**6/120 - 7*a**5/60 + 7*a**3/6 + 3*a**2. Give h*q(t) + 7*j(t).
2*t**3
Let s(y) be the third derivative of y**5/30 - 4*y**3/3 + 2*y**2. Suppose p = 7*p + 30. Let u(f) = -f**2 + 5. What is p*s(d) - 8*u(d)?
-2*d**2
Let r = -23 - -24. Let t(m) = -m - 1. Let j(o) = -o**2 + 2*o + 1. Calculate r*t(n) + j(n).
-n**2 + n
Let t(v) = -17*v**3 - 4*v. Let c(w) = -611*w**3 - 143*w. Calculate -4*c(y) + 143*t(y).
13*y**3
Let x(h) = 3*h**2 + 1. Let w(k) = 13*k**2 + k + 4. Let p = -9 + 18. Calculate p*x(d) - 2*w(d).
d**2 - 2*d + 1
Let t(l) = 7*l**2 - 6*l + 1. Let k(s) = -8*s**2 + 5*s - 1. Determine 5*k(n) + 4*t(n).
-12*n**2 + n - 1
Let d(o) = 8 + 0*o**2 - 8 - 6*o**2. Let q(k) = 3*k**2. Determine 4*d(m) + 7*q(m).
-3*m**2
Let a = 32 - 35. Let x(w) = 2*w**2 - 3*w. Let y(d) = 3*d + 4. Let t(z) = -z**2 + z - 1. Let b = -3 - -4. Let q(u) = b*y(u) + 4*t(u). Give a*q(p) - 7*x(p).
-2*p**2
Let c(p) be the second derivative of -4*p**3/3 + p**2 + 13*p. Let i(x) = 4*x - 1. Give 4*c(b) + 9*i(b).
4*b - 1
Let z(o) be the second derivative of -7*o**5/20 + 2*o**2 - 46*o. Let t(c) = 15*c**3 - 9. What is 4*t(f) + 9*z(f)?
-3*f**3
Let g(b) = 30*b - 7. Let k(i) = -29*i + 6. What is -5*g(x) - 6*k(x)?
24*x - 1
Suppose 0 = -4*p - 8, -14 = o + o + p. Let i(l) = 5*l. Let x(h) = 4*h. Determine o*x(n) + 5*i(n).
n
Let m(r) = -r**2. Let v(b) = b**3 - 3*b**2 - 4*b. Determine -3*m(q) + v(q).
q**3 - 4*q
Let v(m) = 3*m**2 - 10*m. Let z(y) = -2*y**2 + 5*y. Calculate -6*v(r) - 11*z(r).
4*r**2 + 5*r
Let b(m) = -m**2 + 5. Let o(u) be the third derivative of -8*u**2 + 0*u + 0 + 2/3*u**3. What is -2*b(l) + 3*o(l)?
2*l**2 + 2
Let s(u) = 7*u**3 + u**2 - u - 2. Let q(a) = -a**3 + a + 1. What is -2*q(z) - s(z)?
-5*z**3 - z**2 - z
Let j(o) = o**3 + 20*o**2 - 22*o - 20. Let x be j(-21). Let c(z) = 3*z**2 - 1 - 4 + 0 - z**3. Let v(g) = -g**3 + g**2 - 1. What is x*c(i) - 3*v(i)?
2*i**3 - 2
Let t(d) = -3. Suppose -s - 2*w - 12 = 0, -3 = 2*w + 7. Let h(v) = -v + 1. Calculate s*h(b) - t(b).
2*b + 1
Suppose -4*s + 0*s = 4. Let u(y) = -y - 4. Let c(k) = 1. Determine s*u(m) - 3*c(m).
m + 1
Let b(a) = -3*a**2 + 2*a - 2. Let t(k) = -9*k + 1. Let h be t(-3). Let y = h - 46. Let n = 11 + y. Let o(u) = 10*u**2 - 7*u + 7. Calculate n*b(r) - 2*o(r).
r**2
Let y(j) = 84*j**3 - 21*j**2. Let o(q) = 17*q**3 - 4*q**2. What is -21*o(t) + 4*y(t)?
-21*t**3
Let l(q) = 8*q**3 + 11*q**2 - 6*q + 6. Let o(j) = -7*j**3 - 10*j**2 + 5*j - 5. Calculate -5*l(i) - 6*o(i).
2*i**3 + 5*i**2
Let m(k) = -2*k - 8. Let s(c) = -c - 1. What is m(q) - 3*s(q)?
q - 5
Let s(h) = h**3 + 9*h**2 - 5. Let l(a) = -4*a**2 + 2. Determine -9*l(i) - 4*s(i).
-4*i**3 + 2
Let g(u) = 2*u + 5. Suppose -h = -4*a + 12, 2*a + 12 = 2*h + 6*a. Let j(y) = -y + h*y - 7 - 2*y. Determine -7*g(b) - 5*j(b).
b
Let k(m) = 96*m - 3. Let y(q) = 48*q - 1. Give -2*k(p) + 5*y(p).
48*p + 1
Let z(m) = 2*m**3 - 4*m**2 + 2*m + 2. Let v(w) = w**3 - 5*w**2 + 3*w + 3. What is -2*v(o) + 3*z(o)?
4*o**3 - 2*o**2
Let b(x) = -2. Let w(q) = 28*q**2 + 36. What is -36*b(d) - 2*w(d)?
-56*d**2
Let w(o) = 17*o - 2. Let h(k) = -69*k + 9. What is -2*h(v) - 9*w(v)?
-15*v
Let b(y) = 3*y**2 + 2*y - 2. Let q(j) = 3*j**2 + 3*j - 3. Calculate -3*b(i) + 2*q(i).
-3*i**2
Suppose 5*k - 5 = -0. Let w(z) = z - z - 4*z + k + 2*z. Let f(b) = 1. Suppose -s + c + 0 - 1 = 0, -4*c = -12. What is s*f(x) - w(x)?
2*x + 1
Let i(z) = -z**3 + 5*z**2 - z + 1. Let g be i(4). Let r(n) = g - 13 + n. Let u(a) = a + 1. Let m be u(-2). Let t(f) = 4*f - 1. What is m*t(q) + 6*r(q)?
2*q + 1
Let c(f) be the first derivative of -f**2 - 7*f + 1. Suppose -9*i - 28 = -13*i. Let o(x) = -3*x - 10. What is i*c(q) - 5*o(q)?
q + 1
Let l = 0 - -10. Let s = l - 3. Let r(h) = -13*h + 7. Let t(d) be the first derivative of 2*d**2 - 2*d + 2. Give s*t(p) + 2*r(p).
2*p
Let g(m) = m**2 - m - 1. Let i(c) = 2*c**2 - 7*c - 1. What is 2*g(h) - 2*i(h)?
-2*h**2 + 12*h
Suppose 4*d - 6 = 7*d. Let x(h) = -h - 1. Let o(g) = -g**3 + 4*g + 3. Determine d*x(z) - o(z).
z**3 - 2*z - 1
Let w(f) = 4*f + 2. Let s(q) = -5*q - 1. Let c(r) be the first derivative of -11*r**2/2 - 2*r + 2. Let z(a) = 2*c(a) - 5*s(a). What is -2*w(k) + 3*z(k)?
k - 1
Let s(w) = 8*w**2 - | {
"pile_set_name": "DM Mathematics"
} |
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