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pile-dm_mathematics-slm-l1sae1159

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ms in 72*z + 56*z + 10*z. 138*z Collect the terms in 142*o + 140*o + 132*o - 684*o + 133*o + 138*o. o Collect the terms in 112*b**2 - 14 - 58*b**2 - 56*b**2 + 14. -2*b**2 Collect the terms in -85145 + 10*t**3 + 12*t**3 + 85145. 22*t**3 Collect the terms in -3*g - 18*g**2 + 2346 + 2348 - 4694. -18*g**2 - 3*g Collect the terms in -14*f - 17*f - 45*f**2 - 23*f + 54*f + 66*f**2. 21*f**2 Collect the terms in -718*q**3 + 356*q**3 + 360*q**3. -2*q**3 Collect the terms in 363501*t**3 - 726983*t**3 + 363477*t**3. -5*t**3 Collect the terms in -3719*y**3 - 20959*y**3 - 10922*y**3 - 14801*y**3. -50401*y**3 Collect the terms in 3 - 30*x + 7*x - 84*x - 266*x. -373*x + 3 Collect the terms in -128 - 112 + 247 - 24*k - 21*k. -45*k + 7 Collect the terms in -158*r + 447494878 - 447494878. -158*r Collect the terms in 439*p**3 - 159*p**3 - 276*p**3. 4*p**3 Collect the terms in 6*a**3 - 1746*a**2 + 5248*a**2 - 1751*a**2 - 1751*a**2 - a**3. 5*a**3 Collect the terms in -232*y**2 + 87*y - 87*y + 1039*y**2. 807*y**2 Collect the terms in -721*i + 324*i + 615*i. 218*i Collect the terms in 16 - 9 - 7 - 77*q + 145*q. 68*q Collect the terms in 49*f**2 - 22*f**2 + 244*f**2 + 4*f. 271*f**2 + 4*f Collect the terms in -2 + 2 + 37*n**2 + 30*n**2 - 74*n**2. -7*n**2 Collect the terms in 7*l + 12*l - 6*l + 284. 13*l + 284 Collect the terms in 2145 - 97*p**2 - 2145. -97*p**2 Collect the terms in 3*v**3 - 33*v**3 - 38*v**3 - 31*v**3. -99*v**3 Collect the terms in -20840*p + 41493*p + 4*p**3 - 20653*p. 4*p**3 Collect the terms in 539*q**3 - 5*q**2 + 5*q**2 - 278*q**3 - 264*q**3. -3*q**3 Collect the terms in 33*f - 1 + 28*f - 122*f. -61*f - 1 Collect the terms in -25 + 27*c + 152*c**2 + 98*c**2 - 84*c**2. 166*c**2 + 27*c - 25 Collect the terms in -8392*a + 6 - 6 + 8229*a. -163*a Collect the terms in -11 - 9*u + 37 + 30*u - 9*u - 10*u. 2*u + 26 Collect the terms in -27*a - 4*a + 112*a**2 + 31*a. 112*a**2 Collect the terms in 223*j**3 - 62*j**3 - 81*j**3 - 75*j**3. 5*j**3 Collect the terms in -459*z**3 + 1428*z**3 - 489*z**3 - 479*z**3. z**3 Collect the terms in -1437 + 1437 + 8937*q**2 - 8956*q**2. -19*q**2 Collect the terms in 3*z - z - 3*z + 331. -z + 331 Collect the terms in -312 + 312 - 16673*x**2. -16673*x**2 Collect the terms in 1412*l + 172*l**3 - 1412*l + 179*l**3 - 346*l**3. 5*l**3 Collect the terms in 183*c**2 - 26*c**2 - 38*c**2 - 59*c**2 - 39*c**2. 21*c**2 Collect the terms in -114*k - 27 + 19 + 96*k + 8. -18*k Collect the terms in -20*h + 92*h + 13*h + 16*h + 80*h. 181*h Collect the terms in 58*r**2 + 67*r**2 + 70*r**2 + 18 - 196*r**2. -r**2 + 18 Collect the terms in -r**2 + 5*r + 362 + 2*r - 7*r. -r**2 + 362 Collect the terms in -31 - 4546*o - 35 + 97 + 4552*o - 31. 6*o Collect the terms in -19*p + 6*p + 3*p. -10*p Collect the terms in 3*g**2 - 4*g**2 - 6981*g - 2*g**2. -3*g**2 - 6981*g Collect the terms in 73 - 218 + 68 + 71 - 22*u. -22*u - 6 Collect the terms in 17*t + 14*t - 42*t + 7*t + 8*t. 4*t Collect the terms in 479 + 15*y - 8*y - 5097 - 5*y. 2*y - 4618 Collect the terms in -7200*h + 3650*h + 3559*h. 9*h Collect the terms in b**3 - 34798*b + 0*b**3 + 34798*b. b**3 Collect the terms in 107*q + 144*q - 96*q + 1. 155*q + 1 Collect the terms in 782*x**3 - 276*x**3 - 241*x**3 - 273*x**3. -8*x**3 Collect the terms in 2089*c**3 - 697*c**3 - 698*c**3 - 704*c**3. -10*c**3 Collect the terms in 69 - 69 + 4132*w. 4132*w Collect the terms in 102 - 16 - 13*v - 84. -13*v + 2 Collect the terms in 41*z**3 - 39*z**3 - 14*z**3. -12*z**3 Collect the terms in 1028*p**2 + 1048*p**2 + 1040*p**2 - 3117*p**2. -p**2 Collect the terms in -19*u - 131*u**2 + 19*u - 158*u**2. -289*u**2 Collect the terms in -3*t**2 - 116*t**3 + 11*t + 9*t**3 - 12*t. -107*t**3 - 3*t**2 - t Collect the terms in -107 - f**3 + 2*f**3 + 107 - 2*f**3 + 2*f**3. f**3 Collect the terms in -386 + 13*v - 393 - 395 + 1566 - 392. 13*v Collect the terms in -264 + 120 + 144 + 3*h**3 + 22*h. 3*h**3 + 22*h Collect the terms in -601*x**2 + 86*x + 932*x**2 - 329*x**2 - 86*x. 2*x**2 Collect the terms in 9*c - 34*c - 47*c. -72*c Collect the terms in -2212*r**2 - 2233*r**2 + 4454*r**2. 9*r**2 Collect the terms in 5489632 - 28*q**2 - 5489632. -28*q**2 Collect the terms in 4*o**2 + 0*o**2 - 3*o**2 - 348*o**3 + 5. -348*o**3 + o**2 + 5 Collect the terms in -845*z**3 + 9*z**2 - 9*z**2 - 687*z + 687*z. -845*z**3 Collect the terms in 1286*w**2 - 2607*w**2 + 1310*w**2. -11*w**2 Collect the terms in 132*c**2 - 24408*c**3 - 132*c**2. -24408*c**3 Collect the terms in 2*x - 284 + 76 + 78 + 92. 2*x - 38 Collect the terms in 59079*c**3 - 29552*c**3 - 29561*c**3. -34*c**3 Collect the terms in -92*h - 64*h + 14*h. -142*h Collect the terms in -867 + 28*m**3 + 867. 28*m**3 Collect the terms in -800*r + 8570 - 8570. -800*r Collect the terms in 2*l + l - 77*l**3 + 23*l**3 - 4*l + 0*l. -54*l**3 - l Collect the terms in 91*d**3 - 27*d**2 + 27*d**2 - 2*d - 74*d**3. 17*d**3 - 2*d Collect the terms in 19579782973 - 19579782973 - s**2. -s**2 Collect the terms in -33*m**2 + 64*m**2 + 9*m**2 - 13*m**2 - 24*m**2. 3*m**2 Collect the terms in -214*p + 16065 - 16065 + 207*p. -7*p Collect the terms in 32*p**3 - 10 + 24 + 70*p**3 - 14. 102*p**3 Collect the terms in 6*z**3 - 22*z**3 + 14*z**3 + 280. -2*z**3 + 280 Collect the terms in 218*p - 29*p + 71 - 104*p - 69 + 267*p. 352*p + 2 Collect the terms in -93*f + 94*f + 53 - 25. f + 28 Collect the terms in 72*m**2 + 93*m**2 - 32*m**2. 133*m**2 Collect the terms in 28*o**3 - 27*o**3 - 43*o**3. -42*o**3 Collect the terms in 369 + 368 - d - 741. -d - 4 Collect the terms in 1049*m + 263*m + 1117*m - 403*m. 2026*m Collect the terms in 15 - 42 + 11 + 16 + 232*i. 232*i Collect the terms in 313298*i - 626562*i + 313292*i. 28*i Collect the terms in -2908 + 2908 - 95*o**2. -95*o**2 Collect the terms in 1271*n**2 - 1067360*n + 1067360*n. 1271*n**2 Collect the terms in -73*o - 89*o - 71*o + 305*o - 76*o. -4*o Collect the terms in 65*f - 32*f - 2 - 9*f - 27*f. -3*f - 2 Collect the terms in -263 - 102*b**3 - 5*b + 3*b + 264. -102*b**3 - 2*b + 1 Collect the terms in 141*o**2 + 935*o - 935*o. 141*o**2 Collect the terms in 13*w**3 - 1000*w + 498*w + 502*w - 2. 13*w**3 - 2 Collect the terms in 3 - 40 + 37 - 27*i - 23*i. -50*i Collect the terms in -7408 - 207*u + 7408. -207*u Collect the terms in 457*f - 74*f**2 - 457*f. -74*f**2 Collect the terms in -49*l + 39*l**2 + 68*l**2 - 78*l**2. 29*l**2 - 49*l Collect the terms in -50*x**3 + x**2 + 7*x**3 + 42*x**3 - 7*x**2 + 6*x**2. -x**3 Collect the terms in 428 - 759*k + 759*k + 107*k**2 - 428. 107*k**2 Collect the terms in -1993814*b + 63*b**3 + 1993814*b. 63*b**3 Collect the terms in 145320*h + 145342*h - 290690*h. -28*h Collect the terms in -3*k**3 - 773*k + 440*k + 333*k. -3*k**3 Collect the terms in 822*r - 355*r - 394*r. 73*r Collect the terms in -22*y**2 - 2777201 + 2777201. -22*y**2 Collect the terms in 4950*y - 2467*y - 2483*y + 2*y**2. 2*y**2 Collect the terms in 0 + 7*m + 4 + 0*m + 13*m - 1. 20*m + 3 Collect the terms in 91 - 36*c**2 - 2 - 11. -36*c**2 + 78 Collect the terms in 8*j + 17*j**3 - j**3 + 57*j**3 + 57*j**3. 130*j**3 + 8*j Collect the terms in -9*z + 3 - 43*z + 10*z - 15*z. -57*z + 3 Collect the terms in -80 + 141 - 2*w**2 - 90. -2*w**2 - 29 Collect the terms in 421*r**3 + 5*r - 5*r - 419*r**3 - 18*r**2. 2*r**3 - 18*r**2 Collect the terms in 1088*v + 503*v - 448*v. 1143*v Collect the terms in 35*g + 4*g**2 - 131*g + 2*g**2 - 2 - 7*g**2. -g**2 - 96*g - 2 Collect the terms in 779 + 778 - 1582 - 7*z. -7*z - 25 Collect the terms in 771 + 764 + 771 - 16*j - 3077 + 771. -16*j Collect the terms in 28*q + 36*q + 36*q - 128*q + 36*q. 8*q Collect the terms in 1 - 63*l**3 + 325*l**3 - 188*l**3 - 1 - 75*l**3. -l**3 Collect the terms in -l - 5*l**2 - 439*l - 177*l - 5*l**2. -10*l**2 - 617*l Collect the terms in -92*r + 2088*r + 264*r. 2260*r Collect the terms in 123 - c**3 - 402 + 279. -c**3 Collect the terms in -75*s**3 - 11*s - 4*s**3 - 31*s**3 + 2*s + 11*s. -110*s**3 + 2*s Collect the terms in 995426*g**2 - g + g - 995231*g**2. 195*g**2 Collect the terms in 5 - 2308*j**2 + 0 - 4 + j. -2308*j**2 + j + 1 Collect the terms in 3 - 21*w - 30*w - 23*w - 24*w + 103*w. 5*w + 3 Collect the terms in -24*u + 112*u - 44*u - 10*u**2 + 0*u**2 - 46*u. -10*u**2 - 2*u Collect the terms in -1800
{ "pile_set_name": "DM Mathematics" }
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q). q**3 Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b). -b**3 + 2*b - 1 Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) - 3*v(r). 3*r**2 Let t = 7 - 12. Let s = -1 - t. Let k(z) = 3*z - 2. Suppose 0 = 2*l + l + 15. Let x(a) = 4*a - 2. Calculate l*k(o) + s*x(o). o + 2 Let b(d) = 13*d**3 + 3*d**2 + 4*d + 3. Let r(a) = -12*a**3 - 4*a**2 - 5*a - 4. Give -4*b(h) - 3*r(h). -16*h**3 - h Let q(i) = -4*i + 1. Let j(w) = 13*w - 2. What is 4*j(k) + 14*q(k)? -4*k + 6 Suppose 125*b - 20 = 129*b. Let i(k) = k. Let y(x) = 5*x + 1. Let d(o) = -11*i(o) + 2*y(o). Let p(c) = c - 1. What is b*p(f) - 3*d(f)? -2*f - 1 Let h(a) = -8*a + 1. Let z be h(-1). Let l(y) = y - z*y**2 + 9 + y**3 + 0*y**3 - y. Let k(j) = 2*j**3 - 22*j**2 + 22. Determine 5*k(m) - 12*l(m). -2*m**3 - 2*m**2 + 2 Let w(o) = -7*o - 4. Let d(n) = -6*n - 4. Give -4*d(x) + 3*w(x). 3*x + 4 Let g(k) = -7*k - k**3 - k**3 - 5*k**2 + 0*k + 5. Let p(a) = -2*a**3 - 4*a**2 - 6*a + 4. Let q(c) = -c**2 + 16*c + 5. Let n be q(16). Give n*p(d) - 4*g(d). -2*d**3 - 2*d Let c(v) = -12*v - 11. Let d(f) = -6*f - 6. Give -6*c(h) + 11*d(h). 6*h Suppose -g + 20 = 3*l, -4*l = -3*g - 16 - 2. Let m(a) = -7*a**2 + 7*a + 4. Let i(t) = t**2 - t - 1. Give l*i(w) + m(w). -w**2 + w - 2 Let u = -16 - -10. Let b(k) = -13*k - 7. Let q(d) = -14*d - 7. Let v(y) = -5*b(y) + 4*q(y). Let i(t) = -5*t - 4. Calculate u*v(j) - 11*i(j). j + 2 Let l(c) be the third derivative of -c**4/6 - 7*c**3/6 - 3*c**2. Let y(q) = 0*q + 3*q + 1 - 2*q. Calculate l(p) + 6*y(p). 2*p - 1 Let i(r) = -2*r**2 + 4*r + 6. Let s(y) = y**2 - y - 1. Let m be (-2)/(((-1)/3 + 0)*6). Calculate m*i(u) + 4*s(u). 2*u**2 + 2 Suppose 4*h - 10 = 2*i, 11 = -2*i + 2*h + 3*h. Let r(n) = 2*n + 5. Let v(m) = 3*m + 9. What is i*v(f) + 5*r(f)? f - 2 Let x(j) = -9*j + 5. Let l(o) = 0*o - 3 - 4*o + 5. Suppose -2*w + w = -5. Calculate w*l(p) - 2*x(p). -2*p Let j(z) = -z**2 + 3*z + 4. Let s(i) = 2*i**2 - 5*i - 7. Let c = -104 - -107. Give c*s(m) + 5*j(m). m**2 - 1 Let d(c) = 4*c - 3. Let w(l) = 63*l - 48. Let k(u) = 42*u - 32. Let v be ((-3)/(-2))/((-3)/(-10)). Let r(h) = v*w(h) - 8*k(h). Calculate -11*d(m) - 2*r(m). -2*m + 1 Let c(o) = 4*o**2 - o - 2. Let i be 3 + 3 + -1*8. Let k(s) = 9*s**2 - 3*s - 5. Give i*k(p) + 5*c(p). 2*p**2 + p Let d(a) = -a - 1. Let x(y) = 2*y**2 - 2*y - 3. Calculate 3*d(u) - x(u). -2*u**2 - u Let f(u) = 16*u + 4. Let b(n) = -4*n - 1. Calculate 9*b(w) + 2*f(w). -4*w - 1 Suppose -5*r - 6 = -16. Let k(g) = 10*g**3 - 9*g**2 - 9*g + 9. Let p(v) = -v**3 + v**2 + v - 1. Let h(d) = 19*d - 1. Let n be h(1). Determine n*p(o) + r*k(o). 2*o**3 Let p(c) = -c**2 + 2*c - 3. Let n(z) = z**2 - z + 2. Give -5*n(t) - 3*p(t). -2*t**2 - t - 1 Let c(z) = 1 + 2 - 1 - z**2. Let h(b) = -2*b**2 - b + 5. Give 5*c(o) - 2*h(o). -o**2 + 2*o Let z(r) = -15*r**2. Let a(h) = -8*h**2 - 5*h**2 + 10*h**2. Determine 11*a(x) - 2*z(x). -3*x**2 Let m(u) = -16*u + 4. Let c(y) = -5*y + 1. What is 7*c(w) - 2*m(w)? -3*w - 1 Let w(p) = -p**3 + 4*p**2 - 2*p. Let c(r) = 5*r**3 - 17*r**2 + 9*r + 1. Determine 2*c(a) + 9*w(a). a**3 + 2*a**2 + 2 Let n(i) = 2. Let k(g) = 2*g + 25. What is -k(b) + 5*n(b)? -2*b - 15 Let b(a) = -a**2 - 3*a + 1. Let y(u) = -u**2 - 2*u + 1. Give -3*b(s) + 5*y(s). -2*s**2 - s + 2 Let i(r) = 2*r**3 - 2*r - 2. Let o(g) = g**3 - 2*g - 1. Suppose 3*s + 2 = -7. Let v be 3 + s*2/(-6). What is v*o(z) - 3*i(z)? -2*z**3 - 2*z + 2 Suppose 5*m - 2*a + 30 = -7*a, -2 = 2*a. Let f(n) = 22*n**2 - 16*n - 16. Let j(o) = -7*o**2 + 5*o + 5. Determine m*f(t) - 16*j(t). 2*t**2 Let m be (-77)/44 + 5/(-4). Let r(w) = -w**3 + w**2 + 3*w. Let n(a) = 3*a**3 - 2*a**2 - 8*a. What is m*n(i) - 8*r(i)? -i**3 - 2*i**2 Let r(m) = -15*m**3 - 13*m**2 - m - 17. Let a(i) = 7*i**3 + 6*i**2 + i + 8. Determine -13*a(b) - 6*r(b). -b**3 - 7*b - 2 Let f(c) = 3*c + 2. Let o(j) = -4*j - 3. Let w(r) = -3*f(r) - 2*o(r). Let d(y) = 2*y - 1. Determine -3*d(m) - 4*w(m). -2*m + 3 Let m(a) = -a + 1. Let i = -118 + 122. Let f(q) be the second derivative of 0 - 1/2*q**2 + 1/6*q**i - 2*q + 1/6*q**3. Calculate -f(d) - m(d). -2*d**2 Let c(k) = k. Let u(p) = -6*p + 4. Give -3*c(o) - u(o). 3*o - 4 Let d(x) = -x - 4. Let p(z) = -7 - 2*z + 5 - 18 - 2*z. Give -14*d(b) + 3*p(b). 2*b - 4 Let m(q) = 11*q + 5. Let v(i) = -5*i - 5. Let y(x) = x - 1. Let a(j) = -v(j) + 2*y(j). What is 8*a(p) - 5*m(p)? p - 1 Let r(f) = f + 1. Let a(v) be the second derivative of v**3/6 + 13*v. Give a(p) - 2*r(p). -p - 2 Let v be ((-22)/(-8))/(4/(-16)). Let c be 2/v + 2/11. Suppose c*t + 1 = t. Let h(i) = -i + 1. Let w(z) = 2*z - 2. What is t*w(m) + 4*h(m)? -2*m + 2 Let w(r) = -7*r**2 - 9. Let s(u) = -1. Determine -18*s(f) + 2*w(f). -14*f**2 Let n(x) = x**2 + 3*x - 4. Let b be n(3). Let u(l) = l**2 - b*l - 4*l**2 + 2*l**2 + 13*l. Let k(y) = 2*y**2 + 5*y + 1. Give -k(r) - 3*u(r). r**2 - 2*r - 1 Suppose 0*j - 6 = 2*j + 4*w, j = -5*w. Let n(o) = -8*o**3 + 5*o - 5. Let k(l) = -l**3 + l - 1. Calculate j*k(b) + n(b). -3*b**3 Suppose -4*i + 0*z - 5*z - 9 = 0, 3*z = i - 19. Suppose 3*f = i*f - 1. Let u(n) = 2 - f - n + 0. Let k(p) = p**2 - 5*p + 1. What is -k(h) + 3*u(h)? -h**2 + 2*h + 2 Suppose 3*s = 5*i - 26 + 8, -5*i - 5*s = -50. Let h(u) = 2*u + 11. Let g(o) = -4*o - 23. Let b(c) = i*g(c) + 13*h(c). Let j(f) = 2*f + 4. Give -4*b(n) + 5*j(n). 2*n Let s(a) = -3. Let r(b) = b + 10. Let m(u) = 2*u - 49. Let t be m(21). Calculate t*s(z) - 2*r(z). -2*z + 1 Let x(d) = -1. Let n(c) be the second derivative of -3*c**5/20 - c**4/12 - 5*c**2/2 + 3*c. Calculate n(a) - 5*x(a). -3*a**3 - a**2 Let l(g) = g**3 - g**2 + 1. Let x(o) = 13*o**3 - 6*o**2 + 4. Determine -4*l(b) + x(b). 9*b**3 - 2*b**2 Let n(b) = 3*b**3 + b**2 + 6*b + 6. Suppose -j = -108 + 103. Let f(w) = 2*w**3 + w**2 + 5*w + 5. Determine j*n(l) - 6*f(l). 3*l**3 - l**2 Let w be 6/10 + (-12)/20. Suppose w = -5*s + 4*s + 5. Let p(a) = a + 3. Let k(g) = 1. Give s*k(c) - p(c). -c + 2 Let r(z) = -210*z + 85. Let d(j) = -5*j + 2. Determine 255*d(q) - 6*r(q). -15*q Let o(m) = -5*m**3 + 8*m**2 + 7*m + 5. Let d(v) = 4*v**3 - 7*v**2 - 6*v - 4. Determine -6*d(t) - 5*o(t). t**3 + 2*t**2 + t - 1 Let v(p) = -989*p**3 + 115*p + 115. Let h(t) = 26*t**3 - 3*t - 3. Determine -115*h(l) - 3*v(l). -23*l**3 Let x(t) = 6*t**2 - 5*t + 7. Suppose -2*q + 3*i + 2*i = 2, -5*q - 40 = 5*i. Let u(z) = 2 + 7*z**2 - 11*z + 6 + 5*z. Calculate q*x(d) + 5*u(d). -d**2 - 2 Let j(d) = d + 2. Let k = 28 + -23. Let b(i) = 2*i**2 - 11*i + 2. Let v be b(k). Let u(z) = 1. What is v*u(a) + j(a)? a - 1 Let n(x) = 3*x**2 - 6*x. Let c(m) = -m - 12. Let p be c(-11). Let i(a) = 8*a + a - 8*a - 2*a. Give p*n(f) + 5*i(f). -3*f**2 + f Let t(k) = -13*k**3 - 11*k**2 - 15*k + 9. Let h(i) = -7*i**3 - 6*i**2 - 8*i + 5. Calculate 11*h(g) - 6*t(g). g**3 + 2*g + 1 Let x(f) = 3*f**3 + 5*f**2 - 6*f + 1. Let s(m) = -4*m**3 - 6*m**2 + 7*m - 1. Suppose 188 = 2*t + 16. Let p be t/18 - 16/(-72). Give p*s(j) + 6*x(j). -2*j**3 - j + 1 Let o(f) = 16*f**2 - f + 1. Let x(y) = 15*y**2 - y + 1. What is -4*o(n) + 3*x(n)? -19*n**2 + n - 1 Let q(p) = 2*p + 4. Let v(u) = -4*u - 8. Give -9*q(l) - 4*v(l). -2*l - 4 Suppose -4*a + 315 = 3*l, -2*a + 210 = 2*l - 0*a. Let f(u) = 105*u - l*u + u**2. Let z(k) = -k**3 - k**2. Give f(h) + z(h). -h**3 Let o(p) = 4*p**3 - 10*p**2 - 10*p - 10. Let k(h) = h**3 - 3*h**2 - 3*h - 3. Determine 20*k(g) - 6*o(g). -4*g**3 Let i(z) = 320*z. Let s(d) = 11*d. Give -6*i(g) + 176*s(g). 16*g Let f = -12 - -15. Suppose -f*m = -2*m - 4. Let v(w) = -5*w**2 - 14*w + 6. Let j(x) = 2*x**2 + 5*x - 2. What is m*v(t) + 11*j(t)? 2*t**2 - t + 2 Let i(g) = -3*g**2 + 7*g - 8. Let h(j) = j**2 - 3*j + 4. Suppose -1 - 5 = f - d, 0 = -2*f + 3*d - 13. Determine f*h(a) - 2*i(a). a**2 + a - 4 Let y(c) = 6*c**2 + c**3 - 2*c**2 - 3*c + c**3. Let h(l) = l**2 - l. Give -4*h(j) + y(j). 2*j**3 + j Let p(u) = u**3 - u**2 + u + 1. Let x be -2 + (-3)/(6/(-8)). Let y(i) = i**3 + x*i**2 + 6*i**2 - 7*i**3 - 5*i - 5 - 3*i**2. Determine 5*p(b) + y(b). -b**3 Let u(t) be the first derivative of t**3/6 - t**2 - 4*t - 5. Let o(s) be the first derivative of u(s). Let z(j) = 2. Give 2*o(n) + 3*z(n). 2*n + 2 Let w(r) = 5*
{ "pile_set_name": "DM Mathematics" }
e h = 4*l + 4*y - 146, 239 = 3*l - y. Is l a prime number? True Let a(c) = 7*c**3 - 16*c**2 - 9*c + 115. Is a(11) composite? True Let j(b) = b**3 - b**2 + 3*b + 1. Let o(y) = -y**2. Let a(l) = j(l) + 2*o(l). Let v be a(5). Suppose -v = -n - n. Is n a composite number? True Suppose -5*d + t + 590312 = 0, -4*t - 115288 = -2*d + 120826. Is d composite? True Let s(b) = b + 1. Let d(k) = 15*k**2 + 2*k + 16. Let a(w) = 5*w**2 + w + 5. Let g(j) = 8*a(j) - 3*d(j). Let o(n) = -g(n) - 2*s(n). Is o(5) a composite number? True Suppose -507 = -5*d + 848. Suppose 4*z - d = 5*x, -247 = -3*z - 2*x - 3*x. Let y = -37 + z. Is y composite? False Let g be 5 + -3 + 0 + (-1)/(-1). Let h(n) = 14*n**3 + n**2 - 4*n + 2. Is h(g) a prime number? False Let o(z) = 3*z + 15. Let p be o(-6). Is 660 - p - (0 - -1) prime? False Let o(k) = 7*k + 1. Let i be o(-5). Is (-8 + -30)*i/4 composite? True Let o = -10 - -13. Suppose -f - 2 = o. Let x(u) = -36*u + 5. Is x(f) a composite number? True Let u = 14593 - 10146. Is u prime? True Let y(i) = -1338*i - 575. Is y(-11) a prime number? True Suppose 4*g + n = -n - 20, -g = 2*n + 5. Let z(f) = 6 + 5 - 169*f**3 - 2*f**2 + 168*f**3 - f - 12 + 0*f. Is z(g) a composite number? False Suppose 7*u - 7 = 266. Suppose 40*z = u*z + 485. Is z prime? False Suppose 2*m - 3*m = 4*z, 5*z = 0. Suppose o = -m*o + 319. Is o prime? False Suppose 4*b - g = -1 - 42, -4*g = 4*b + 68. Let y be 508/b*(-17 + 2). Suppose -p = 4*p - y. Is p a composite number? False Suppose -5*m + 15 = -0*m + 5*l, -m - 5*l + 7 = 0. Let i(s) = 17*s**2 + 4*s + 1. Is i(m) composite? True Suppose -4*q = 3*k - 25, -4*q = -3*k - 0*q + 17. Suppose 0*b = k*b - 1295. Is b prime? False Let o be (-3)/12 - (-37)/4. Let r = -5 + o. Suppose 0 = 2*w + 3*i - 178, -r*w - 4*i + 392 = -7*i. Is w prime? False Suppose -5*q + 2*q + 5*l - 8 = 0, q - l = 0. Is (-111)/(-6) - q/(-8) composite? False Let c = -257 + 470. Suppose 0 = 5*j - 722 - c. Is j a prime number? False Let q(x) = 2*x**2 - 6*x + 11. Suppose -4*f + 34 + 4 = 3*n, 34 = 4*f + n. Is q(f) prime? False Let i(v) = -v**3 - 5*v**2 - 13*v - 7. Let n be (-30)/3*(-1)/(-2). Let o be i(n). Is (2 + -1)/(1/o) prime? False Suppose 68579 = -284*k + 291*k. Is k a prime number? False Let z = -130 - -442. Suppose 0 = -5*h + 4*h + 3*g + 151, 0 = -2*h + g + z. Is h a prime number? True Let c(j) = 31441*j + 172. Is c(3) prime? False Suppose 2*m = -p + 12, -2 = -p - 0. Suppose -m*v + 2077 = -518. Is v composite? True Suppose -2*l = 10 - 6, 0 = 4*c - 2*l - 19760. Is c prime? False Suppose 0 = 3*h - 2736 - 3312. Suppose 3*b - h = -0*b. Suppose -3*j - 3*z = -j - 668, 2*j - b = -5*z. Is j a prime number? True Let f(k) = -2*k**3 + 6*k**2 + 2*k + 14. Let y be f(-7). Suppose 2*h - 3 = 13. Is (-3)/2 + y/h a prime number? False Let z(r) be the second derivative of 403*r**5/20 + r**4/3 - 5*r**3/6 + 5*r**2/2 + 4*r + 4. Is z(2) a composite number? True Suppose 0 = 4*m - 3*m - 3. Suppose 0 = 3*o + m*r - 5925, -4*o + 4*r - 974 + 8858 = 0. Is o prime? True Suppose -3 + 8 = m. Suppose -m*k + 5117 + 2158 = 0. Suppose -5*g + k = -2*v + 4*v, 4*v - 273 = -g. Is g a composite number? False Let x be (-3)/21 + 58/14. Suppose 6*q + 6 = 4*q, -x*z + q + 895 = 0. Is z a prime number? True Suppose 12 = 4*r, 4*f - 4*r = f - 735. Suppose -2*m = -7*m + 2260. Let u = m + f. Is u a composite number? False Suppose -17*d = 8869 - 34556. Is d a prime number? True Let i(y) = 164*y + 849. Is i(8) composite? False Suppose -178*h + 168*h + 16570 = 0. Is h prime? True Let z = -22 - -4. Is 16/72 - (-40)/z - -424 composite? True Suppose 21*t = 4*t + 11917. Is t a composite number? False Suppose 32 = -4*i + 2*k, -3 = 4*i + 3*k + 9. Let m(o) = -5*o + 8. Is m(i) a composite number? True Let t(h) = -h**3 + 4*h**2 + 5*h - 16. Let q be t(4). Suppose 4*i + 8*m - 12644 = q*m, 4*m + 9497 = 3*i. Is i a prime number? True Suppose -4*d - 3*a = -13, 0*a + 2 = 5*d - a. Suppose 5*c - d = -6. Is (-12)/c + (2 - 3) composite? False Let y(n) = 57*n + 4. Let w be y(-7). Suppose 3*x - 5*x = 500. Let c = x - w. Is c a prime number? False Let z(s) = 2*s**2 + s - 6. Let v be z(-3). Is v/(9/(-2)) + 193 composite? False Is (-6)/(24/(-140))*3006/90 composite? True Let y = 9 - -22. Let r = -28 + y. Is 795/2*2/r a composite number? True Let i = 108 + 128. Let a = i + -75. Is a composite? True Let j = 2378 - 1207. Is j composite? False Suppose 5*i = 82428 - 22618. Is i composite? True Let d(k) = k**2 - 4. Let c = -12 + 9. Let r be d(c). Suppose 0*h - 215 = -r*h. Is h prime? True Suppose -5*k = -h - h - 16257, 2*k - 6499 = -3*h. Is k composite? False Suppose -4*h + 3*q + 3731 = -0*q, 2*h - 2*q - 1866 = 0. Let j(b) = -b**3 - 16*b**2 - 7*b - 28. Let w be j(-16). Is h/14 + 36/w composite? False Is (-2)/(((-4)/(-5842))/(-1)) composite? True Suppose -3*u + 5562 = 3*q, 2*q = -3*q - 2*u + 9261. Is q prime? False Let s = -7 - -7. Let a(v) = -50*v**2 - 11 + v + 56 + 49*v**2 + 50. Is a(s) composite? True Let i = -4190 + 11047. Let g = -4404 + i. Is g prime? False Let k = 64 + -62. Suppose -k*w + 1174 = -2628. Is w a composite number? False Let o(y) = y**3 + 12*y**2 - 11*y - 13. Let x be o(-12). Suppose 5*z = 4*z + x. Is z composite? True Is 59 - (3*(-5 - -4) - -5) a composite number? True Suppose 2*c - z + 12 = 0, -12 - 12 = 2*c - 4*z. Let j be (-702)/c*(4 - 2). Suppose -j - 1384 = -5*g. Is g a prime number? True Suppose -53*b + 37*b = -301856. Is b a composite number? True Let g(z) = 4*z**2 + 4*z - 39. Let v = -10 - -26. Is g(v) composite? False Suppose 4*h + 9327 = 5*k - 17831, -4*k = 3*h - 21745. Suppose 7*t - 2*t - 4*c - 6797 = 0, -4*t = -5*c - k. Is t prime? True Let o(s) = -8 - 9*s - 20*s + 0*s - 8. Is o(-15) a prime number? True Let m = -11 + 47. Is 27/m - (-18841)/4 a prime number? False Suppose 3*u - 4264 = -4*q + 4*u, 4*u + 3185 = 3*q. Is q a prime number? False Let m be (-360)/(1/(0 + 1)). Suppose 1657 = -8*k - 3231. Let p = m - k. Is p a composite number? False Let c(d) = -d**2 + 12*d - 8. Suppose 4*y - 6*y + 18 = 0. Is c(y) a prime number? True Suppose -2*g - 161 = -4*m - 3*g, -m + 38 = g. Let u = m + -28. Let r(n) = 20*n - 7. Is r(u) a composite number? True Let q(w) be the second derivative of 2*w**4/3 - w**3/6 + 3*w**2 - 27*w. Let v(l) = -4*l**2 - 1. Let g be v(-1). Is q(g) prime? True Let i(g) = 8*g - 22. Let t be i(4). Suppose t*v + 655 = 15*v. Is v a composite number? False Suppose 13*l - 12*l = 3. Let h be (4/(-6))/((-10)/45). Suppose l*d = -h*n + 261 - 90, 0 = -4*n. Is d prime? False Suppose 0 = 2*y - 4*m - 20, -m = 3*y - 0 - 2. Suppose 6 = d + y. Suppose 0 = j - 4*j - 5*n + 1256, -d*j = 4*n - 1672. Is j prime? False Let b(x) = -x**3 - 7*x**2 + 11*x - 2. Let j = -38 + 25. Let t be b(j). Is (-4)/6 - t/(-3) prime? False Suppose h + h + 3604 = -4*u, -2*h = 3*u + 2705. Let b = -582 - u. Is b composite? False Let k(j) = j + 26. Let c be k(0). Suppose 0 = 3*n - 15, 3*b - c = -n - 9. Suppose -b*x + 4*o = o - 139, 68 = 2*x - 2*o. Is x composite? False Let z(m) = -225*m + 256. Is z(-35) a prime number? False Let k = 7 - 5. Suppose -2*y + 10 = 0, -3*o + k*o + 17 = -y. Suppose 0 = p - 255 + o. Is p a composite number? False Suppose 0 = 2*s - 2*p + 6*p + 10, 14 = 2*s - 2*p. Let f(b) = b**2 - b - 2. Let z be f(s). Suppose z*u - 31 - 5 = 0. Is u composite? True Suppose -28 - 23 = -3*j - 2*o, -5*j + o = -72. Suppose j*l + 5915 = 24800. Is l a prime number? True Suppose 2*o = 10058 + 1616. Is o a prime number? False Let g(x) = 99*x - 88. Is g(5) a composite number? True Let n(c) = 67*c**3 - 7*c**2 - 4*c + 29. Is n(5) a composite number? False Let k(q) = -q**3 - 9*q**2 - 2*q - 16. Let c be k(-9). Suppose 3*o + 5*w - 662 = 0, c*o + 3*w + 214 = 655. Is o prime? False Let w = -3626 + 15875. Is (w/27)/(1/3) prime? True Let d(y) = -27*y**3 - 8*y**2 - 35*y + 1. Is d(-6) a composite number? True Let t(q) = -q**2 - 8*q + 6. Let i be t(-7). Is (99 - i)/((-4)/(-14)) prime? False Suppose 5*s = 2*j + 29185, 10*s + 3*j = 5*s + 29185. Is s a prime number? False Let r = 18525 + -7471. Is r composite? True Let h(i) = -1477*i + 309. Is h(-5) a prime number? False Let h(b) = -3*b + b + b - 5*b - 10. Let j be h(-13). Is j/6 - 7/21 a prime number? True Let w = 91 + -61. Let v(j) = -3 + w*j - 1 + 1 + 21*j. Is v(6) a prime number? False Let j(n) be the fi
{ "pile_set_name": "DM Mathematics" }
*((c*c**(5/4)*c)/(c*c**(-12)/c))**(-11) assuming c is positive. c**(-7577/28) Simplify (v/v**0)**(-1/6)/(v**(-1/4))**(34/5)*v*(v/((v**(1/5)*v*v*v)/v))/v*v*(v/(v/(v**(2/13)/v)))/v*v**(-8)/((v*v**6*v)/v*v*v*v) assuming v is positive. v**(-722/39) Simplify ((z*z*z**(-2/7))**(-28))**(-5/2)*(z**0)**39*(z/(z/((z/(z*z**(-3/2)*z*z*z)*z*z*z)/z))*z)/z*z/(z*z**(-1/2)*z) assuming z is positive. z**120 Simplify ((v**(-1/4)/(v*v**(2/13)))/(v**(-6)/v*v**(1/7)))/((v/(v/(v/(v**3/v))))/v*v**(3/7))**(-1/36) assuming v is positive. v**(8861/1638) Simplify ((c*(c**(-6/5)*c)/c*c)/c*c*((c**22*c)/c)/c*c**26*c**(-26))**(-1/15) assuming c is positive. c**(-109/75) Simplify (h**9/(h**(-2/3)*h)*h**(-1)/(h/(h/(h*h**(-7/3)*h*h*h))))**(-37) assuming h is positive. h**(-222) Simplify ((k/((k**(-1/3)*k*k)/k)*k)/(k/(k*k/k**(-3)*k*k)))**(-30)*(k/(k**0*k))**(-16/7)/((k/k**3)/k**3) assuming k is positive. k**(-215) Simplify ((((t/(t*t/(t*(t/(t**(10/17)/t))/t)*t))/t*t/(t*t**(1/45)*t)*t*t*t*t)**(-3/10))**(-42/11))**(1/22) assuming t is positive. t**(7441/102850) Simplify (q*q/q**45)/q**40*q/(q*((q**(-31)/q)/q)/q)*q**(-2/83) assuming q is positive. q**(-4069/83) Simplify (i*i/i**(-2/3)*(i*i**(-2)*i)/i*i)/(i**(-5)*i**(-2/5))*((i**(-2)*i)**(-30))**20 assuming i is positive. i**(9121/15) Simplify ((v/v**(7/5))/(v/v**(5/3)*v))**45/((v*v**1/v)**41*(v*(v/(v**(2/21)*v))/v)/((v*v*v/(v/(v**(4/5)/v)))/v)) assuming v is positive. v**(-7676/105) Simplify ((k**(-21)*k*k**17)/(k/(k*k**(-1/8)/k))**21)**42 assuming k is positive. k**(-4473/4) Simplify ((i**2/i)/i**(-1/31)*(i*i**(-2/39))/i**(-13))**(-1/3) assuming i is positive. i**(-18112/3627) Simplify (j*j*j**3*j/((j**(-2)*j)/j)*j*j)**42*(j**(-6)/(j*j*j/(j*(j*j**(-2))/j*j)))**49 assuming j is positive. j**(-21) Simplify ((x**0/x)**(2/9)/((x**(-1/12)*x*x)/x**(-3)))/(x/x**(-3/8)*x/x**(-1)*x**(-7)/(x*x/x**(2/9))) assuming x is positive. x**(19/72) Simplify (((m**(-1)*m*m)**(42/13)*(m*m**1/m)**7)**39)**(-3/16) assuming m is positive. m**(-1197/16) Simplify ((y**35/(y*(y/(y**16/y))/y))/((y*y/y**(1/11))/((y**7*y)/y)))**11 assuming y is positive. y**595 Simplify d*d**(-4)*d*d*d**(-1/4)*(d*d**(-1/4))/d**(-1)*(d**(-1)/d**(-2/11))/((d/(d*d**(-2)/d))/(d**4/d)) assuming d is positive. d**(-7/22) Simplify (y/y**(-2))/y*y*y**(-1/5)*(y/y**0*y)/y**(-2/7)*(y**5/y*y/y**(-4)*y)/(y/(y**0/y)*y*y)**(-49) assuming y is positive. y**(7388/35) Simplify ((d**(-1))**(-5/2))**(-15)/(((d*d**(4/7)/d)/(d**0/d*d))/((d**(-2/11)/d)/d**(5/6))) assuming d is positive. d**(-9260/231) Simplify (l**(2/17)/l**2)/(l**(-1/2)/l)**8*(l**(-3)/(l*l**(-1/13)))/(l**(-1/5)*l**8) assuming l is positive. l**(-1774/1105) Simplify (y**3*y**(-2/15))**(1/9)*(y/y**(-2))**34/(y**5/y*y*y*y**(-1/15)) assuming y is positive. y**(13012/135) Simplify ((((z/z**(1/7))/z*z)/z*z)/z**(-2/5)*z**1/z**(-6))/(z**(-4)/z**(-5)*z/z**(6/7)*z**(-5)) assuming z is positive. z**(424/35) Simplify (l**(4/7)*l**(1/4)*(l/(l/(l*l/l**3*l)*l*l))/l**(-2/9))/((l**(4/5)*l**(1/10))/(l**(2/9)*l**(-1)*l*l)) assuming l is positive. l**(-799/1260) Simplify ((z**(-1/68))**(-2/93)*(z*z**13)**(-31))**(2/39) assuming z is positive. z**(-1372307/61659) Simplify ((f*f*f**17*f)**(-11/4)/((f*(f*f**(1/22)*f*f)/f)/(f**24/f)))**(-12/13) assuming f is positive. f**(4626/143) Simplify ((s/s**1)/(s**(-1/3)*s*s))**(21/5)*s/(s/(s/s**4))*((s*s/(s*s**(2/7)))/s)/s*(s**(-2/5))**(-31) assuming s is positive. s**(39/35) Simplify (((h**(-5)/h)/h)**(-6)/(h**(-1/9)/(h/h**(-2/15)*h)))**(-32) assuming h is positive. h**(-63712/45) Simplify ((r*(r/(r/((r/r**(-1))/r))*r)/r)**25)**(-28)/(((r*r/((r**(-1/4)*r)/r)*r*r)/r**7)/(r**2/r**(-3))) assuming r is positive. r**(-5569/4) Simplify ((s**(-2/69)*s/s**(-1/27))/((s/((s/s**(2/51))/s))/(s/(s**(-1/8)/s))))**(1/38) assuming s is positive. s**(176837/3209328) Simplify ((l*l**29*l)/l)/((l/((l*l**(-27)*l)/l))/l)*(l**(-4/3)*l*l)/l**(-34) assuming l is positive. l**(116/3) Simplify (c/(c**(-8)*c)*c**(4/9)*c**8/c*c**(-4))/((c*c/(c*c**0))/c**(3/11)*c*c**5/c*c*c**5) assuming c is positive. c**(-28/99) Simplify ((x**(6/7)/(((x/x**18*x)/x)/x))/(x/(x**7/x)*x**3))**(-11/2) assuming x is positive. x**(-803/7) Simplify ((o/o**(1/15))/o**(-7))**(16/9)/(o/(o/(o/(o**(-3)/o)))*o**4/o*o/(o*o**2)*o*o**(-4)) assuming o is positive. o**(1499/135) Simplify (r**5/(r/(r/(r/(r/r**(-2/15)))))*(r**(-2/5)*r)**(-7))/(r**(-1/3)*r**(-2/5)*((r*r**(1/2)*r)/r*r)**(-36)) assuming r is positive. r**(275/3) Simplify (o*o**14*o/o**5*o*o)**(17/5)*((o**2*o*o*o)/o**(2/23))/((o/(o**(-2/21)/o))/(o*o*o**(-2)*o)) assuming o is positive. o**(115963/2415) Simplify ((m**(1/17)/m**(2/21))/(m**(1/17)/(m/(m**(2/33)/m))))**41 assuming m is positive. m**(5822/77) Simplify (m**11/(m**2/m*m))**(2/47)*m*m**1*m**(-1/4)*((m*m**(-2/7)*m)/m)**(-2/131) assuming m is positive. m**(365837/172396) Simplify s/s**(-5)*s*s*s**(-1)/s*s*s*s*s/s**(-1/10)*s*s**(-4)/s*(s/s**(1/2)*(s*(s*s*s*s**(-10)*s)/s*s)/s)**(-10/11) assuming s is positive. s**(111/10) Simplify ((q**(3/5)*q*q*(q/((q*(q/(q/(q*q**(-9))))/q)/q*q))/q)/(q**(-1/7)/q**(3/7)))**(-44) assuming q is positive. q**(-17204/35) Simplify (w/w**6)/(w**(-1/2)*w*w)*(w/w**(-8))/w**(-2/3)*((w*w**(1/3)*w)/w)/w**2*(w/(((w*w**5*w)/w)/w))/w**(-3) assuming w is positive. w**(3/2) Simplify ((((o**(-2/13))**19)**19)**34)**40 assuming o is positive. o**(-981920/13) Simplify ((d/d**8)/(d*d**(-2/13)*d)*(d**(-1/2)/d)**(14/11))/(d**(-1/16)/(d/(d*d*d**(-13)*d*d)))**44 assuming d is positive. d**(247101/572) Simplify ((n**(2/9)/(n/(n/(n*n**10))*n))/(n*n*n**(-2)*n*n/((n/(n**(10/7)/n*n))/n)*n))**(-2/37) assuming n is positive. n**(2042/2331) Simplify ((a**(-1/4)/a)**34*a**(-2/13)/a*a**(-1/3)/a)/(a*a**(-1/6)*a/(a**(3/4)/a)*a*a**(1/13)/(a*a**(-1)/a)) assuming a is positive. a**(-7667/156) Simplify (z**(2/7)*z*z**(-2/7))**(-35)/(((z/(z/((z**(-3)*z*z)/z)))/(z*(z/(z**(-4)*z*z))/z*z))/(z/z**(-2/9)*z*z**(-1/3))) assuming z is positive. z**(-244/9) Simplify ((k/(k**(-1)*k)*k*k)**(-44))**(-5/3)*(k**(2/9))**(-3/29)/(k**(2/5)/k**(2/17)) assuming k is positive. k**(1624642/7395) Simplify ((l*l/(l*l*l*l**(2/5)*l*l))/l*l**12/l*l**(6/17)*l/((l/(l*l*l**(-4)*l))/l))**31 assuming l is positive. l**(18321/85) Simplify (a*a**(-2/79)*a*a*a/(a/a**(-16))*(a/(a**16*a))**(-1/3))**(-28) assuming a is positive. a**(51044/237) Simplify ((v**0*v)**(-1/13)/(v**(-26/7)*v*v**32))**(1/6) assuming v is positive. v**(-1336/273) Simplify (((q**(-15/8)*q)/(q/q**20))**37)**(-10) assuming q is positive. q**(-26825/4) Simplify (m/m**2*m**(4/9)*m*m)**4/(m**7*(m*(m/(m*m**3)*m)/m*m*m*m)/m*m)**(1/24) assuming m is positive. m**(49/9) Simplify ((w**(1/4))**(-23/5)*w**(-2/7)*w*w*w**(-5/3)/w)/(((w*w**(1/7)/w)/(w*w/w**(-2)*w))/(w**1)**(1/10)) assuming w is positive. w**(1199/420) Simplify ((v**31*v)/v**(11/5))/(v**(-9/8)*v*v**(7/3)*v) assuming v is positive. v**(3191/120) Simplify ((d**(-15))**(5/12)*d*d**19*d*(d/(d/(d/(d/d**(-38)*d))))/d)**(-18) assuming d is positive. d**(909/2) Simplify u/u**(1/8)*(u*u**(-3/20)/u)/u*u*u**(8/7)*u**(-42) assuming u is positive. u**(-11237/280) Simplify ((c**(7/3)/c*c)/(c/c**(-2/9)))**27/(c**(-3/2)*c*c**2*c*c*((c*(c/(c*c**(-2/9)))/c*c)/c)/(c**(-2/13)/c)) assuming c is positive. c**(5879/234) Simplify (j**(-10)*j/((j/(j*j**(3/11)))/j)*j)**(-9)/(j**(-2/21)/j**(-2/13))**(-4/5) assuming j is positive. j**(909794/15015) Simplify j**(-2)/(j/(j*(j*j*j**(-1/2)/j)/j*j))*((j*j*j**(5/4)*j)/j)/j**(1/7)*(j/(j**(-1)*j))**(11/8)*j*j**(-6)*j*(j*j**(-1/4)*j)/j assuming j is positive. j**(-15/56) Simplify ((r**(-3/22)/(r/(r*r*r**(-21)/r)))/(r**(-11)*r*r**(1/24)))**44 assuming r is positive. r**(-2951/6) Simplify ((h**11*h)/h*h)**(-2/7)/(((h**(5/9)/h)/h*h*h)/h**(3/34)) assuming h is positive. h**(-8345/2142) Simplify ((l**(-1))**(-9/7))**11/((((l/((l**(2/5)/l)/l))/l)/l)**(-11/2)*(l**(-1/3))**(-18)) assuming l is positive. l**(801/70) Simplify ((c*c**(-1)*c)**(-25))**(1/27)/(c**10*(c/c**4)/c)**(-13/3) assuming c is positive. c**(677/27) Simplify ((l*l**(-6))/l**(-5)*((l*(l/(l/(l*l**6*l)))/l*l)/l*l)/l**2)/((l**(-1/4))**(-5/8))**(2/5) assuming l is positive. l**(111/16) Simplify ((d*d**(3/4)/d)/(d*d*d**(3/8)))**28*(d*d**(-5)*d**(-2))/(d**4*d*d**4/d) assuming d is positive. d**(-119/2) Simplify ((z*z/(z**(1/18)/z))**10/((z/(z/z**10))/z)**(5/21))**1 assuming z is positive. z**(1720/63) Simplif
{ "pile_set_name": "DM Mathematics" }
863*n**3 + 24773*n. -227178*n Find the second derivative of 3*m**5 - 12111*m**3 + 6*m - 1425. 60*m**3 - 72666*m What is the second derivative of -40*i**4*j + i**4 + 432*i**3 - 73*i*j + 9*i - 2*j - 1 wrt i? -480*i**2*j + 12*i**2 + 2592*i What is the third derivative of 381*w**6 + w**5 + 54*w**3 + 3*w**2 + 307*w wrt w? 45720*w**3 + 60*w**2 + 324 What is the third derivative of -3*o**4*z**3 + 6781*o**3*z - 57*o**2*z - 102*o*z**3 wrt o? -72*o*z**3 + 40686*z Find the third derivative of 1853752*k**4 + 196856*k**2 + 1 wrt k. 44490048*k What is the derivative of -4*i*l**3 + 2265*i + 2*l**3 - 1498 wrt i? -4*l**3 + 2265 Find the second derivative of 10*b**3*i*r + 3*b**2*i*r - 22*b**2*i + 19*b**2 + b*i + 7*i - 876*r wrt b. 60*b*i*r + 6*i*r - 44*i + 38 What is the third derivative of -q**4 + 2*q**3*r - 4435*q**3 - 2*q**2*r + 5*q**2 + q*r + 477*q + 27 wrt q? -24*q + 12*r - 26610 What is the derivative of 2*p**4 + 2*p**3 + 1651110*p**2 + 661611 wrt p? 8*p**3 + 6*p**2 + 3302220*p Find the third derivative of 52744*j**6 + j**2 - 16894. 6329280*j**3 Find the third derivative of 4*p**5 + p**4*w**2 + 85*p**3 + 17*p**2*w - p**2 - 20*p*w**2 - 2*w**2 wrt p. 240*p**2 + 24*p*w**2 + 510 What is the third derivative of -298*f**2*v**3 - 395*f**2*v - 4*f*v**3 + 4*v**3 + 10*v**2 - 1 wrt v? -1788*f**2 - 24*f + 24 What is the first derivative of 71188*g**2*t**3 + 11008*t**3 wrt g? 142376*g*t**3 Find the third derivative of 374602*y**3 - y**2 - 84*y - 41. 2247612 Find the first derivative of b*d**3 + 5937*b*d + 48989*b + 19*d**4 wrt d. 3*b*d**2 + 5937*b + 76*d**3 What is the third derivative of -90059*a**3*w**3 - a**3*w**2 - 2*a**3*w + 28*a**2*w**2 + 21*a**2*w wrt w? -540354*a**3 Find the second derivative of -830*p**4 + 9*p**3 + 3*p**2 + 688*p - 68 wrt p. -9960*p**2 + 54*p + 6 Find the second derivative of 552371*s**3 + 142423*s. 3314226*s What is the third derivative of -2320*k**5 + 9*k**4 + k**2 + 72185? -139200*k**2 + 216*k What is the second derivative of 675*b**4 - 21*b**3 - 8*b**2 + 10*b + 16138 wrt b? 8100*b**2 - 126*b - 16 Find the first derivative of -23*c**3*u - 2*c**3 - 6949*c + 189*u wrt u. -23*c**3 + 189 Find the third derivative of -438523*u**3 - 2*u**2 + 39*u + 160. -2631138 Find the third derivative of -152*v**6 + 14*v**5 - 2*v**3 + 969*v**2 - 1. -18240*v**3 + 840*v**2 - 12 Find the first derivative of -2266*i**3 - 70*i**2 - 1868529. -6798*i**2 - 140*i What is the second derivative of -10728*z**5 - 64*z - 19? -214560*z**3 Find the third derivative of -146706*v**5 - v**4 - 2*v**3 - 1824273*v**2 wrt v. -8802360*v**2 - 24*v - 12 What is the third derivative of -4*z**5 - 16*z**4 + 28*z**3 - 97542*z**2? -240*z**2 - 384*z + 168 What is the second derivative of 5710906*k**2 - 4649147*k? 11421812 Find the second derivative of -40694*m**4 + 27305*m. -488328*m**2 What is the third derivative of -682*r**4 + 713*r**3 - r**2 - 10260*r - 1 wrt r? -16368*r + 4278 What is the second derivative of 33*d**4 + 2*d**3 + 47*d**2 - 61817*d wrt d? 396*d**2 + 12*d + 94 Differentiate 2*y**4 + 1647*y**2 + 4*y + 137682. 8*y**3 + 3294*y + 4 Find the first derivative of 11432*q**4 - 79*q**3 + 4502783. 45728*q**3 - 237*q**2 What is the second derivative of -2*m**2*p**2 + 2179*m**2 + m*p**2 - 14589*p**2 - 3*p wrt m? -4*p**2 + 4358 Find the first derivative of 49851*p + 57744 wrt p. 49851 Differentiate 55*y**2 + 56*y - 20673. 110*y + 56 What is the third derivative of -331*g**2*n*z**2 + 4*g**2*z**3 + g*n*z**3 - 72*g*z**2 + 18*n*z**3 + 3*n*z**2 + 36*z**3 wrt z? 24*g**2 + 6*g*n + 108*n + 216 What is the first derivative of -27107*k**2 - 179860 wrt k? -54214*k Find the third derivative of 1217*k**5*p**3 - 260*k**3*p**3 - k**2*p**2 + 268880*k*p**3 wrt k. 73020*k**2*p**3 - 1560*p**3 What is the third derivative of 3*l**4 - 423538*l**3 + 1135*l**2 + 61? 72*l - 2541228 What is the third derivative of 2768218*f**4 + 117*f**2 + 134? 66437232*f Differentiate -2*f*j**2*v - f*j**2 - f + 697*j**2*v**3 + 1752 with respect to v. -2*f*j**2 + 2091*j**2*v**2 Find the second derivative of 24341*n**4 + n**3 + 5489*n wrt n. 292092*n**2 + 6*n Find the second derivative of -3*t**4*u**3 - 22814*t**4*u - 11*t*u**2 + t - 4*u**3 + 57*u wrt t. -36*t**2*u**3 - 273768*t**2*u What is the second derivative of -10203*f**3 - 15*f**2 - 303718*f? -61218*f - 30 Find the third derivative of -3*z**4 + 263973*z**3 - 3081394*z**2 wrt z. -72*z + 1583838 What is the derivative of -230620*t**3 - 444394? -691860*t**2 What is the third derivative of -5617*o**5 - 3*o**4 - 10*o**3 + 6199184*o**2? -337020*o**2 - 72*o - 60 Find the third derivative of -67321*o**4 - 8*o**2 - 15*o + 25. -1615704*o What is the third derivative of -914*b**4*n + 8*b**3*n**3 - 33*b**2*n - 1114*n**3 wrt b? -21936*b*n + 48*n**3 Differentiate 14400*c**4*y**3 - c**4*y - 2546*y**3 + 3 wrt c. 57600*c**3*y**3 - 4*c**3*y What is the second derivative of -24*f**5 + 500*f**3*z**2 + 7*f*z**2 - f*z + 711*f wrt f? -480*f**3 + 3000*f*z**2 Find the third derivative of -2*l**3*r*w - 406*l**3*w + 3*l**3 - 74*l**2*r*w + 3*l**2*r - 2*l - 10*r*w wrt l. -12*r*w - 2436*w + 18 Find the second derivative of -91836*x**2 + 8450*x + 1. -183672 What is the second derivative of 135351*g**3 - 4*g - 23490 wrt g? 812106*g What is the third derivative of 404214*w**6 + 1392004*w**2 + 2*w wrt w? 48505680*w**3 Find the third derivative of -18*m**6 + 22*m**5 + 6*m**4 + 8679*m**2 - 2. -2160*m**3 + 1320*m**2 + 144*m Find the second derivative of 46959*l**4 + 2*l**3 + 2*l**2 + 91*l + 472 wrt l. 563508*l**2 + 12*l + 4 Find the second derivative of -3642*b**3*j*n**2 - 84*b**3*j*n - 4*j*n**2 + 118*j*n wrt n. -7284*b**3*j - 8*j Differentiate -14*d**2*i - 24710*d**2 - 567*i**2 + 2 wrt i. -14*d**2 - 1134*i What is the second derivative of 1853*c**3*x**2 - 100*c**3 + c**2*x**2 + 221*c**2*x + x**2 wrt x? 3706*c**3 + 2*c**2 + 2 Differentiate 800066*p - 1349963 with respect to p. 800066 Find the third derivative of -18*j**4 - 3018*j**3 - 4395*j**2 + 143*j. -432*j - 18108 What is the third derivative of 3*m**5 - 7204*m**4 - 32527*m**2? 180*m**2 - 172896*m What is the third derivative of 15588*v**5 - 2*v**4 - 77255*v**2 wrt v? 935280*v**2 - 48*v What is the third derivative of -1135176*j**5 - 346216*j**2? -68110560*j**2 Find the first derivative of -2404*q**2 - 4*q - 22082 wrt q. -4808*q - 4 Find the second derivative of 4*g**3*p**2 - 2994*g**3 + 2*g*p - 17487*p**2 wrt g. 24*g*p**2 - 17964*g Differentiate 5*c*i**3*u - 169*c*i**2*u - 1223*c + 5*i**3*u + 4*i**3 - 547*i**2*u - 26*i*u wrt c. 5*i**3*u - 169*i**2*u - 1223 Find the first derivative of 17*f**3*o + 44*f**2*o**3 + 2*f**2*o + 2*o**3 + 6337*o wrt f. 51*f**2*o + 88*f*o**3 + 4*f*o What is the derivative of 8*z**4 + 1171*z**2 - 27778? 32*z**3 + 2342*z What is the third derivative of 10719*i**4 - i**3 - 97*i**2 - 2*i - 38 wrt i? 257256*i - 6 What is the third derivative of -7789*f**5*r**2 - 2*f**5 - 5*f**2 + 2*f*r - 108*r**2 + 6*r wrt f? -467340*f**2*r**2 - 120*f**2 What is the first derivative of 10*a**4 - 2*a**2 + 3530*a + 140485 wrt a? 40*a**3 - 4*a + 3530 What is the first derivative of -5*b**3*r - 186*b**3 + 31649*b**2*r**3 + 12*b + 5 wrt r? -5*b**3 + 94947*b**2*r**2 Find the second derivative of a**3*c*u**3 + 2*a**3*c*u - 43*a**3*c - 60139*a**3*u**3 - 42*a**2*c*u - 6*a**2*c + 2*a*u wrt u. 6*a**3*c*u - 360834*a**3*u What is the third derivative of 547090*j**5 + 2*j**4 - 2*j**3 + 999896*j**2 wrt j? 32825400*j**2 + 48*j - 12 What is the first derivative of 90827*s*t**3 + t**3 - 347*t**2 + 24*t wrt s? 90827*t**3 Find the third derivative of 55296*n**3 + 17*n**2 - 349 wrt n. 331776 Find the third derivative of 2*h**4 - 828501*h**3 + h**2 + 110*h - 1017. 48*h - 4971006 What is the second derivative of -1114026*c**2 - 1444293*c - 2 wrt c? -2228052 Differentiate 35*k**2*t + 554*k*t**2 - 7*t**2 + 18*t - 47 wrt k. 70*k*t + 554*t**2 Find the second derivative of 2413532*q**4 + 2324308*q wrt q. 28962384*q**2 Find the third derivative of 3571*f*o**3*u*x**4 - 2*f*o**2*u**2*x - f*u**2*x**4 - 29*f + o**3*u*x - 7*o**3*u + 2*u**2*x**2 + 4*u**2*x wrt x. 85704*f*o**3*u*x - 24*f*u**2*x What is the first derivative of -3*r**4 + 8672*r**3 + 2*r**2 - 43025? -12*r**3 + 26016*r**2 + 4*r What is the derivative of 48539*p**3 - 93345? 145617*p**2 Find the third derivative of 7*k
{ "pile_set_name": "DM Mathematics" }
at is the derivative of n(o) wrt o? -2007 What is the third derivative of 854*p**2 - 5 + 8 - 1319*p**4 - 920*p**2 wrt p? -31656*p Let q be (2/15*6)/((-22)/(-715)). What is the second derivative of -q*o**2 - 91*o**3 + 26*o + 2 + 186*o**3 - 98*o**3 wrt o? -18*o - 52 Find the second derivative of -833*h + 176*h - 267*h + 473*h**3 - h**2 wrt h. 2838*h - 2 Suppose -11*n + 10*n + 6 = 0. What is the third derivative of -1 - 84*s**n + 13745*s - 13745*s - 9*s**2 wrt s? -10080*s**3 Differentiate -6501 + 6866 - 382*s**3 + s**3 wrt s. -1143*s**2 Let z(h) be the third derivative of -195*h**8/112 + h**4/6 + 53*h**3/2 + 1556*h**2. Find the second derivative of z(t) wrt t. -11700*t**3 Let r(f) be the first derivative of 2*f**7/7 - 14*f**6/3 - 7*f**3 + 51*f - 3138. Find the third derivative of r(c) wrt c. 240*c**3 - 1680*c**2 Let n = 270 + -265. Find the third derivative of 69*u**5 - 30*u**2 - 69*u**n - 8*u**6 wrt u. -960*u**3 Let q(o) = -495*o**3 + 5*o + 1713. Let f(h) = -485*h**3 + 4*h + 1715. Let u(r) = 5*f(r) - 4*q(r). What is the first derivative of u(z) wrt z? -1335*z**2 Let o(d) = -2*d**2 - 1. Let c(b) = 300*b**3 - 8*b**2 - 792. Let h(s) = -5*c(s) + 20*o(s). Find the first derivative of h(l) wrt l. -4500*l**2 Let g = 2 - 0. Let d be 8 + ((-3)/g)/(8/16). Find the third derivative of 758*y - 758*y + 2*y**d + 17*y**2 wrt y. 120*y**2 Let u(h) = 16*h - 63*h + 32*h**2 - 86*h - 16. Let c(p) = -31*p**2 + 133*p + 12. Let a(l) = -4*c(l) - 3*u(l). What is the second derivative of a(w) wrt w? 56 Let d(n) = -21*n**2 + 19*n - 2275. Let t(c) = -6*c**2 + 9*c - 1137. Let s(q) = -2*d(q) + 5*t(q). What is the derivative of s(l) wrt l? 24*l + 7 Let f = -113 + 119. Suppose 9*c - 6*c = f. Find the third derivative of -59*r**c + 43*r**4 + 149*r**2 - 64*r**2 wrt r. 1032*r Suppose 6*g - 272 - 40 = 0. What is the first derivative of -51 - 89 + 41 - g*j - 51*j - 51*j wrt j? -154 Find the third derivative of 485*o**4 + 60*o**2 + 589*o**4 + 1657*o**4 - 912*o**2 wrt o. 65544*o Let c(s) be the first derivative of 0*s**2 - 10 - 2/3*s**3 + 5/4*s**4 + 31*s. Find the first derivative of c(m) wrt m. 15*m**2 - 4*m Differentiate 140 + 787 + 607*l**3 + 728*l**3 + 1735*l**3 + 110*l**3 with respect to l. 9540*l**2 Let l(i) = -64*i**5 + 56 - 29 - 27 + 23*i**2 + 3*i. Let y(s) = 704*s**5 - 252*s**2 - 32*s. Let b(j) = 32*l(j) + 3*y(j). Find the third derivative of b(a) wrt a. 3840*a**2 Let i be -7 + (-39)/(-4) + 1*(-2 + 0). Let q(p) be the second derivative of -5*p**2 + 0 - i*p**4 + 19*p + 0*p**3. What is the derivative of q(l) wrt l? -18*l Let a(c) be the third derivative of 1135*c**4/12 - 527*c**3/3 + 1320*c**2. Find the first derivative of a(m) wrt m. 2270 Find the third derivative of 1087*x**4 + x**4 + 1524*x - 444*x - 3*x**2 + x**2 wrt x. 26112*x What is the second derivative of 4*z**2 + 62045*z**3 - 62251*z**3 - 2*z**2 + 2285*z wrt z? -1236*z + 4 Let d(l) = 1790*l**2 - 3740*l + 18. Let u(m) = 3578*m**2 - 7477*m + 42. Let y(x) = -7*d(x) + 3*u(x). What is the second derivative of y(f) wrt f? -3592 Let b(k) = 3*k**2 - 251*k + 372. Let v(p) = 4*p**2 - 268*p + 376. Let f(j) = 2*b(j) - 3*v(j). Differentiate f(d) with respect to d. -12*d + 302 Let k(j) = j**4 - 284*j**3 + 2521*j**2 + 2. Let a(r) = -r**4 + 285*r**3 - 2522*r**2 - 3. Let o(v) = -2*a(v) - 3*k(v). Find the third derivative of o(t) wrt t. -24*t + 1692 Let s(d) = 227*d + 1081. Let h(r) = 456*r + 2163. Let g(x) = 4*h(x) - 9*s(x). What is the first derivative of g(l) wrt l? -219 Let h = 232 - 228. Find the second derivative of 4*l + 14*l**4 - 3 + 12*l**h + 11*l**4 + 0*l wrt l. 444*l**2 Let g(r) = 2111*r**2 - 23*r + 58. Let n(b) = 10560*b**2 - 112*b + 290. Let c(a) = -19*g(a) + 4*n(a). What is the second derivative of c(i) wrt i? 4262 Suppose 143*a - 144*a = -2. Find the third derivative of -k**3 + 1 + 3 + a*k**6 - 6*k**2 + 62*k**3 wrt k. 240*k**3 + 366 Find the third derivative of -5895*s**3 - 1284 - s + 2512 - 1209 + 6*s**2 wrt s. -35370 What is the derivative of 15 + 1393*i - 214*i - 25 + 15 - 7*i wrt i? 1172 Let g(r) be the third derivative of r**5/60 + r**4/12 - 5*r**3/6 - 4*r**2. Let m be g(2). Differentiate 72 - 7*q**3 - 67 - 5*q**m wrt q. -36*q**2 Find the first derivative of -4578*i**2 + 197*i**2 + 501*i**2 - 3221 wrt i. -7760*i Let n(r) = -22*r + 184. Let k be n(7). Differentiate 10 + k + h - 3*h**2 + 12 with respect to h. -6*h + 1 Suppose -2*c + 3*v = -29, -c + v = -6 - 7. Suppose 5*x - 2*n = 7 + 34, 0 = 5*n - c. Differentiate 9*i - x*i + 28 - 13*i**3 + 0*i with respect to i. -39*i**2 Let l(j) = 13456*j**3 - 3706*j**2 + 2*j - 6. Let q(f) = f**3 + f**2 - f + 3. Let o(s) = -l(s) - 2*q(s). What is the third derivative of o(v) wrt v? -80748 Let b = 28 - 23. Let v(r) be the first derivative of -b*r + 7 - r - r**5 + 7*r. Find the first derivative of v(k) wrt k. -20*k**3 Let v(a) = -66*a**5 + 670*a**2 + 4*a. Let n(d) = -67*d**5 + 669*d**2 + 5*d. Let b(g) = 4*n(g) - 5*v(g). What is the third derivative of b(s) wrt s? 3720*s**2 Differentiate -41081*l**3 - 41083*l**3 + 75*l**4 + 693 + 82162*l**3 with respect to l. 300*l**3 - 6*l**2 Let l(k) be the first derivative of 4*k**5/5 - 317*k**4/4 + 1704*k**3 - 2205. What is the third derivative of l(r) wrt r? 96*r - 1902 Let y(g) be the second derivative of -4019*g**5/10 - 3823*g**3/6 - 476*g. What is the second derivative of y(o) wrt o? -48228*o Let h(d) be the second derivative of 0*d**2 - d - 19/20*d**5 + 0*d**3 - 5/3*d**4 - 9. What is the third derivative of h(a) wrt a? -114 What is the third derivative of 6364237*f**2 - 207*f**3 - 6364851*f**2 - 119*f**3 wrt f? -1956 Let n(l) = 8*l**2 - 5*l + 3. Let d be n(2). Suppose 6*u - 5*g - d = u, -22 = -5*u + 4*g. Differentiate 1 + 7 - 2 - 22 + 20*w**u with respect to w. 40*w Let v(d) be the first derivative of 3*d**5/5 + 33*d**4/4 + 13*d + 62. Let j(s) be the first derivative of v(s). What is the third derivative of j(z) wrt z? 72 Let b(y) = -1264*y**2 - 29*y - 534. Let n(l) = 632*l**2 + 16*l + 276. Let m(q) = -6*b(q) - 11*n(q). What is the first derivative of m(s) wrt s? 1264*s - 2 Let n(r) be the second derivative of 0*r**4 + 0*r**5 - 3/10*r**6 - 29/3*r**3 + 1/21*r**7 + 0 + 0*r**2 - 90*r. Find the second derivative of n(k) wrt k. 40*k**3 - 108*k**2 Let p(d) be the first derivative of -41*d**6/6 + 25*d**4/4 + 2*d**3/3 - 1183*d**2 - 4197. What is the third derivative of p(j) wrt j? -2460*j**2 + 150 Let j(i) be the second derivative of -1438*i**5/5 + 204*i**4 - i**2 - 10422*i. Find the third derivative of j(q) wrt q. -34512 Let j(s) = -30 + 25*s - 17*s + s**2 - 1. Let u be j(-11). What is the derivative of 19 - 2*q - u*q - 16*q wrt q? -20 Let c(m) be the third derivative of -5537*m**5/60 - 6187*m**3/6 - 12007*m**2. Differentiate c(r) wrt r. -11074*r Let k(n) be the first derivative of -23*n**2 + 0*n**4 + 0*n + 0*n**5 + 0*n**3 + 169 - 103/3*n**6. Find the second derivative of k(r) wrt r. -4120*r**3 Let q(o) be the second derivative of -5*o**4/12 + 49*o**3/6 + 378*o**2 - 2783*o. Find the first derivative of q(r) wrt r. -10*r + 49 Differentiate -14*d**2 + 5639*d - 2842*d - 2834*d - 1246 wrt d. -28*d - 37 Let l = -326 + 329. What is the first derivative of -3*d**3 - 5*d - 3 - l*d - 81 + 3*d wrt d? -9*d**2 - 5 Let m = -55 + -14. Let i be -4 + 4 + 4 - m. Find the first derivative of -24 + i - 5*o**4 - 2*o**4 wrt o. -28*o**3 Let j(p) = -69*p - 10. Let x be (-18 + 20)*((-6)/4 - 1). Let m(a) = 70*a + 11. Let l(v) = x*j(v) - 4*m(v). What is the first derivative of l(o) wrt o? 65 Let o(b) = -3*b**4 + 7*b**3 - 4*b**2 + 9*b - 928. Let w(f) = -13*f**4 + 28*f**3 - 17*f**2 + 34*f - 3706. Let g(c) = 17*o(c) - 4*w(c). Differentiate g(j) wrt j. 4*j**3 + 21*j**2 + 17 Suppose 309*m = 312*m - 156. What is the derivative of -2*q**2 + 30*q + 56*q - 127 - 112 - 116 + m wrt q? -4*q + 86 Suppose 0 = -2*l - 4*o + 26, -19 = -4*l - 3*o + 8. Let t(r) be the second derivative of -1/6*r**l + 15*r**2 + 21*r + 0. Differentiate t(u) wrt u. -1 Let p(u) = 1033*u - 924. Let c(t) = -2047*t + 1844. Let z(y) = -3*c(y) - 5*p(y). Differentiate z(h) wrt h. 976 Let v(n) be the first derivative of n**3/3 + 304*n**2 - 1062*n - 2605. What is the derivative of v(o) wrt o? 2*o + 608 Suppose -13*y = 14 - 170. Let p = 6 + 9. Differentiate 12 - p + 15 + 16*s**4 + y wrt s. 64*s**3 What is the third der
{ "pile_set_name": "DM Mathematics" }
sqrt(153)/(sqrt(45)/sqrt(5)))**2). 3 Simplify -2*-5*(4 + (sqrt(300) + 5)**2). 1000*sqrt(3) + 3290 Simplify 2*((4*sqrt(3))**2 + -4 + sqrt(108)*-3). -36*sqrt(3) + 88 Simplify 4 + (-2 + 6*(sqrt(1872) - (sqrt(1872) + -2 + sqrt(1872))))**2. -1440*sqrt(13) + 67496 Simplify (((sqrt(352)*2 + sqrt(352))/sqrt(8))/sqrt(144) + 0)**2. 11/4 Simplify ((-1*sqrt(544) + sqrt(544) + sqrt(544))*-1)/(-4*(sqrt(162) + 2*sqrt(162) - sqrt(162))). sqrt(17)/18 Simplify (-4*-3*-1*5*(sqrt(704)*-1 + 1))**2. -57600*sqrt(11) + 2538000 Simplify (3*4*(-1 + 4*sqrt(1300) + sqrt(1300) + 2))**2. 14400*sqrt(13) + 4680144 Simplify (sqrt(540)/(sqrt(192) + sqrt(12) + sqrt(12)))/sqrt(9) - (sqrt(50)/(sqrt(810) + -3*sqrt(810)))**2. -5/324 + sqrt(5)/6 Simplify (-3*sqrt(16)/sqrt(8)*6)**2 - 2*1*sqrt(8)/sqrt(4). -2*sqrt(2) + 648 Simplify 6*-2*((sqrt(144)*-1)/sqrt(12))**2*-5. 720 Simplify -2*(-3*sqrt(150)/sqrt(6))/(sqrt(10)/sqrt(2)*-4)*-5. 15*sqrt(5)/2 Simplify ((sqrt(675) - (sqrt(675) + (-5 + sqrt(675) + -2 - sqrt(675) - sqrt(675))) - -3*(-1 + sqrt(675)))*-5)**2. 12000*sqrt(3) + 270400 Simplify (-1*sqrt(1008)*-4 + sqrt(1008)*-1 + -2 - -6*(sqrt(1008) + 1*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 1)))))**2. -2880*sqrt(7) + 226864 Simplify (((sqrt(330)*2)/sqrt(11) + (sqrt(30) - (1*sqrt(30) + sqrt(30))*5 - sqrt(30) - sqrt(30)))/(sqrt(24)*-1 + sqrt(24) + sqrt(72)/sqrt(3)))**2. 405/4 Simplify 2*(sqrt(104)/(sqrt(2)*2*4) + 3). sqrt(13)/2 + 6 Simplify ((sqrt(72)/sqrt(3)*-5)/(sqrt(120)/sqrt(90) + sqrt(12)) + -2)**2 + 2. 15*sqrt(2) + 273/8 Simplify 3*(6*3*sqrt(209) - sqrt(209))/(sqrt(11) - (sqrt(22)/sqrt(2)*3 - sqrt(11))) + 0. -51*sqrt(19) Simplify 2 + (-6*5*sqrt(77)*2)/(sqrt(396) + sqrt(396) + (sqrt(396) + (sqrt(396) - (sqrt(396) + (sqrt(396) - (sqrt(396) - -1*sqrt(396))))))*-2 - sqrt(396)). 2 + 10*sqrt(7)/3 Simplify ((sqrt(88) + sqrt(88)*-3)/sqrt(4))/sqrt(2) - ((4*sqrt(792))/sqrt(2))**2. -6336 - 2*sqrt(11) Simplify (sqrt(3645)*2 + sqrt(720)*-2)/(sqrt(1089) - 5*sqrt(1089)*2). -10*sqrt(5)/99 Simplify (5 + (2*sqrt(200) - sqrt(200)) + -2*(3 + sqrt(200)) + sqrt(200) + 3)**2. 4 Simplify ((sqrt(125) + (sqrt(125) - (-4 + -1 + sqrt(125))) + (-3*(sqrt(125) + 1) - sqrt(125)) + 4)*4)**2. -2880*sqrt(5) + 18576 Simplify (sqrt(325) + -1*sqrt(325))*2 - (-3*sqrt(325)*-5)**2. -73125 Simplify ((sqrt(1600) + sqrt(1600)*-3 + sqrt(1600))*4 - sqrt(1600))/(sqrt(30)/(1*sqrt(6)*-3)). 120*sqrt(5) Simplify -2*(sqrt(22)/(sqrt(1100) + (sqrt(1100) - (2*sqrt(1100) + sqrt(1100)) - sqrt(1100))))**2 + (sqrt(288) - (0 + (sqrt(288)*2 + sqrt(288))**2)) + 2. -259001/100 + 12*sqrt(2) Simplify 3 + (-6*(sqrt(612) - (sqrt(612) + -1)))**2 - ((sqrt(612)*1)**2 + 1 - (sqrt(612) - (-4*(sqrt(612) - (2*sqrt(612) + sqrt(612))))**2)). -39742 + 6*sqrt(17) Simplify (2*sqrt(187))/sqrt(11) + 2 + 1 + (sqrt(17) - (-2 + sqrt(425) + sqrt(425) + sqrt(17)))**2 + 5. -38*sqrt(17) + 1712 Simplify -1*(1*(sqrt(1584) + 2 + sqrt(1584)) + 1)**2. -6345 - 144*sqrt(11) Simplify ((sqrt(180) + sqrt(180)*5)/sqrt(6))/(-5*sqrt(160) + sqrt(10)). -6*sqrt(3)/19 Simplify -1 + (sqrt(42) + (sqrt(42) - (sqrt(5082) + 4*sqrt(5082) - sqrt(5082))))/(sqrt(96)*-3)*4. -1 + 14*sqrt(7) Simplify -2*((sqrt(11) + sqrt(539) + 3)**2 + -6*(-2 + sqrt(11))). -1450 - 84*sqrt(11) Simplify ((((-2*sqrt(420))/sqrt(10))/sqrt(2))/((-4*sqrt(192) + sqrt(192))*3))**2. 7/1296 Simplify (-5 + (sqrt(108) + -1 + sqrt(108))*4*1 + -1)**2. -960*sqrt(3) + 7012 Simplify (sqrt(1500) - -1*sqrt(1500))/sqrt(12) - (2*sqrt(560) - sqrt(560))/sqrt(7). 6*sqrt(5) Simplify -1*(-2 + (sqrt(52)*-3)**2 + 1). -467 Simplify -2 + (((sqrt(567) - 2*sqrt(567)) + sqrt(567))*1 - (1 + sqrt(7) + 1)*-6)**2. 144*sqrt(7) + 394 Simplify (((1 + sqrt(153))*6 + sqrt(153) + sqrt(153) + ((-3 + sqrt(153))*-3 - sqrt(153)))*-1)**2. 360*sqrt(17) + 2673 Simplify (-5*sqrt(153)*1 - -2*((-2*sqrt(153) - sqrt(153)) + sqrt(153)))/(((sqrt(576)*1 - sqrt(576)) + sqrt(576))*-6). 3*sqrt(17)/16 Simplify ((1*(sqrt(567)*2)**2 - sqrt(56)/((sqrt(8) - (sqrt(8) - sqrt(24)/sqrt(3)))*-2 - sqrt(8) - sqrt(8))) + -1)*4. sqrt(7) + 9068 Simplify 3 + (0 + (sqrt(300) - (sqrt(300) + -2 + -1 + sqrt(300) - sqrt(300)))**2)*2. 21 Simplify -4*(-4 + (sqrt(1300))**2*4 + -2). -20776 Simplify ((2 + sqrt(468))*3*-5)**2 - ((sqrt(468) + 0 + sqrt(468) + -4)**2 + (0 + sqrt(468))**2 + 1). 5496*sqrt(13) + 103843 Simplify (sqrt(192) + 1 + -4)**2 + 3 + (sqrt(27))**2*5. -48*sqrt(3) + 339 Simplify 2 + (6*1*sqrt(14))/(sqrt(4)/(sqrt(4)/sqrt(2))) + 4. 6 + 6*sqrt(7) Simplify (-3 + (sqrt(288) + 0 - sqrt(2) - (-4 + sqrt(128)))**2)*3. 93 + 72*sqrt(2) Simplify (sqrt(33)/sqrt(3) + 0)*2 - (-5 + sqrt(11)*-4)**2*4. -804 - 158*sqrt(11) Simplify (-6*(sqrt(108) + sqrt(108) + -1 + 0 + (sqrt(108) - (sqrt(108) + -1 + -1) - sqrt(108))))**2. 432*sqrt(3) + 3924 Simplify ((sqrt(280)/(sqrt(15)/sqrt(3)*-1))/(sqrt(40)/sqrt(5)*6 - sqrt(24)/(sqrt(3)*-1 - sqrt(3))))**2. 28/169 Simplify 0 + ((1 + sqrt(700) + sqrt(28)/(sqrt(4)*1))*-5)**2 + -5. 550*sqrt(7) + 21195 Simplify -3*(5*1*sqrt(110)*2)/((sqrt(480) - (sqrt(480) + sqrt(480) + 1*sqrt(480) + sqrt(480)) - sqrt(480))/sqrt(3)). 15*sqrt(11)/8 Simplify -1 + (sqrt(132)/(3*sqrt(3)) - sqrt(44))/(1*(sqrt(4) + sqrt(28)/sqrt(7))). -sqrt(11)/3 - 1 Simplify ((-1 + (2 + sqrt(170)/sqrt(10) - sqrt(153)/sqrt(9)*-1))*-6)**2. 144*sqrt(17) + 2484 Simplify (5*(1*sqrt(12) - sqrt(3) - sqrt(3) - (sqrt(432) + 2)))**2 + 2. 1200*sqrt(3) + 10902 Simplify ((sqrt(20)*2*-3)/sqrt(4) + (sqrt(450)/(sqrt(9)*-1 - sqrt(9)))/sqrt(10))**2. 845/4 Simplify (-4 + (sqrt(308)/(sqrt(11) - (sqrt(11) - sqrt(176))) - ((sqrt(147) - 1*sqrt(147))/sqrt(7))/sqrt(3)))*-3. -3*sqrt(7)/2 + 12 Simplify -5*2*(-2 + 0 + sqrt(125))*-3*-3. -450*sqrt(5) + 180 Simplify ((-1*sqrt(80) + -2 - sqrt(80))**2 - (3 + sqrt(80) + 1)**2) + ((sqrt(80) + 2 + sqrt(80) + 0)*5)**2. 800*sqrt(5) + 8328 Simplify -1 + (sqrt(475) + 0 + -3 + sqrt(475) + sqrt(475) + sqrt(475) + 0 + -2)**2 + -3. -200*sqrt(19) + 7621 Simplify -1*(sqrt(252) + sqrt(252) + 2 + sqrt(252) - sqrt(252)) - (-5 + sqrt(252) + 1 + sqrt(252))**2. -1026 + 84*sqrt(7) Simplify (sqrt(1872)*-2*-2 - -5*sqrt(1872)*5)**2. 1574352 Simplify (((sqrt(150)/sqrt(3) - sqrt(50)) + 0 + (sqrt(72) + 0 - sqrt(2)) + (sqrt(2) - (sqrt(2)*-1 + -4)))*5)**2. 1400*sqrt(2) + 2850 Simplify 2 + sqrt(7) + 3 + -4 - 5*sqrt(14)/(sqrt(2) - (sqrt(2) + sqrt(8)/sqrt(4))). 1 + 6*sqrt(7) Simplify (5*(sqrt(76) - 1*sqrt(76))*6)/((sqrt(324) + (sqrt(324) - -2*sqrt(324)))*-4). 0 Simplify 3*((0 + 3*sqrt(112) + sqrt(112) - sqrt(112) - sqrt(112)) + 4) + -1. 11 + 24*sqrt(7) Simplify -6*1*((sqrt(2268) + -1)*5)**2*-2. -10800*sqrt(7) + 680700 Simplify (sqrt(187)*-1*4)/(sqrt(22)/sqrt(2)*-6) - (1*sqrt(272)*1)**2*-4. 2*sqrt(17)/3 + 1088 Simplify 0 + sqrt(405) + (sqrt(405)*3 + 3)**2 + 1 + 5 + 2*sqrt(405). 189*sqrt(5) + 3660 Simplify 1*(sqrt(112) + -2 + 1 - -4*(3 + sqrt(112) + sqrt(112)))**2 + -3. 792*sqrt(7) + 9190 Simplify -1*sqrt(55)/(-6*(sqrt(20) - sqrt(5)))*-1. -sqrt(11)/6 Simplify (sqrt(540)/(2*sqrt(12)) - ((sqrt(5445) - (-2*sqrt(5445) + sqrt(5445) + sqrt(5445))) + sqrt(45)))/((sqrt(144) + sqrt(144)*1)*5 + sqrt(144)) + -4. -4 - 23*sqrt(5)/88 Simplify (-2 + sqrt(272)*-5 + sqrt(2448)*1 + 1 + sqrt(425) + sqrt(425))**2. -4*sqrt(17) + 69 Simplify (0 + (sqrt(1584) + 1)*-6 - -1*(3 + (sqrt(1584) - 1*sqrt(1584))))**2. 432*sqrt(11) + 57033 Simplify (sqrt(3) + sqrt(3) + (2*sqrt(27)/sqrt(9) - sqrt(3)) + 2)*-5 + -5. -15*sqrt(3) - 15 Simplify -1*(-6*sqrt(114)*-2 + 1*sqrt(114)*3)/(sqrt(54) + sqrt(108)/sqrt(2)*1). -5*sqrt(19)/2 Simplify -2 + ((sqrt(132) + (sqrt(132)*-1 - sqrt(132)))*6 - sqrt(132))/(sqrt(12) + (sqrt(72)*-1)/sqrt(6) - sqrt(12)). -2 + 7*sqrt(11) Simplify (1*((-2*sqrt(825) - sqrt(825) - sqrt(825)) + sqrt(825)) + sqrt(825) + sqrt(825))/((sqrt(33) - sqrt(4752)*-2)/sqrt(3)). -sqrt(3)/5 Simplify (sqrt(272) - (sqrt(272) - (3*sqrt(272) + sqrt(272))*-1 - sqrt(272))**2) + 0 + -5. -4357 + 4*sqrt(17) Simplify (sqrt(119) - sqrt(119)*4*3)/(sqrt(63)/(sqrt(63)/sqrt(7))). -11*sqrt(17) Simplify ((sqrt(640) + 1*(sqrt(640) - (sqrt(640)*-1 - sqrt(640))) + sqrt(640))/((sqrt(6655)*-2)/sqrt(11)))**2. 800/121 Simplify sqrt(143)/(-2*sqrt(99) + sqrt(11))*-4 - (0 + sqrt(117) + sqrt(91)/(sqrt(28)/sqrt(4)) + -3). -16*sqrt(13)/5 + 3 Simplify (-2 + (-4 + -4*(sqrt(1300) + 1)*1)**2)*6. 3840*sqrt(13) + 125172 Simplify -5 + 2*(sqrt(1539) - (sqrt(1539) - (5*(sqrt(1539) - (0 + sqrt
{ "pile_set_name": "DM Mathematics" }
he form o*p**4 + k*p**2 + m + i*p + l*p**3 and give l. 0 Express 2 - 1 + 2*g - 2*g**3 - 462*g**2 + 0 + g**4 + 460*g**2 as k*g**4 + t*g + q*g**2 + c*g**3 + m and give m. 1 Rearrange 797*b**4 - 798*b**4 + 4*b**3 - 4 + 3*b**3 + 2*b**2 - b**2 to the form r*b**3 + c*b**2 + k*b + j + s*b**4 and give s. -1 Express 0*i**4 + 1143*i**2 + 2*i**4 - 1141*i**2 - 2*i**3 as a*i + f*i**3 + r + k*i**2 + v*i**4 and give k. 2 Rearrange -2*i - 41 + 15 - 8 to r*i + x and give r. -2 Express (5*g - 5*g - 2*g)*(-4*g - 2 + 7*g - 5*g) as c + k*g + z*g**2 and give k. 4 Rearrange (87 - 24 - 17)*(5*d - 4*d - 2*d) + (2 + 4 - 5)*(3*d - 5 + 5) to o + w*d and give w. -43 Express (-31 + 11 - 3 + (-2 + 1 + 2)*(2 + 2 - 2) + 3 - 3 + 2)*(0 + 0 - 2*c**3) in the form f*c + r + m*c**2 + k*c**3 and give k. 38 Rearrange 7 + 0*j**2 + 0 - 7*j**2 + 6*j**2 to n*j**2 + w*j + y and give y. 7 Express (-3*j - 2*j + 2*j)*(j - 2*j + 0*j)*(-9*j - 19*j + 0*j) - 2*j**3 + 3*j**3 - 2*j**3 in the form z*j**2 + l*j**3 + t*j + a and give l. -85 Rearrange -2*y**4 + 2*y**4 + 0*y**4 - 1 - 3*y**2 - 9*y**4 to r + a*y**4 + i*y**3 + j*y + x*y**2 and give a. -9 Rearrange -x - x - 2*x - 2*x to p + u*x and give u. -6 Rearrange -19*k + 45*k + 29*k to g + x*k and give x. 55 Rearrange 0*a**2 - 3*a**2 + a**2 + 1 + a**2 - 1 + (4*a - 3*a - 3*a)*(a + a + 0*a) - 109 + 109 + 4*a - 2*a**2 to c*a**2 + p*a + q and give c. -7 Express -2*a**3 + 8*a**3 + 80*a**2 - 82*a**2 in the form t*a**2 + n*a + p*a**3 + q and give p. 6 Express (-k + 0*k + 0*k)*(-3 + 6 - 7*k + 0) as m*k**2 + v*k + l and give m. 7 Rearrange 419 + z**2 + 2*z**3 - 2*z**3 + 2*z**4 - 420 to s + v*z**4 + x*z + k*z**3 + a*z**2 and give a. 1 Express -56 + 15*m**3 + m + 56 in the form d*m + v*m**3 + i*m**2 + a and give v. 15 Rearrange (-4 + t**2 + 4)*(-3*t + t - t) + 51 + t**3 - 51 + (-2*t**2 + 0*t**2 + 0*t**2)*(7*t - 3*t - 3*t) to g*t**3 + p*t + u*t**2 + y and give g. -4 Rearrange 2*r**4 - 2*r**2 - 8*r**4 - 2*r**4 + (-3 + 3 + r**3)*(3*r - 5*r + 3*r) to u*r**2 + m*r**4 + w + y*r**3 + l*r and give u. -2 Rearrange -8*y - y**2 + 2*y**2 + y**2 + (-y - y + 0*y)*(-y + 0 + 0) to l + k*y**2 + q*y and give k. 4 Express n - 4*n + 0*n + (-3*n + 4*n - 2*n)*(-4 + 2 + 3) - 3 + 3 - n + (8 - 4*n - 8)*(0 + 2 - 1) - 4*n - 4*n + 5*n in the form i*n + y and give i. -12 Rearrange -2*s + 1 + 2*s + 6*s**2 - 4*s**2 + s**3 to the form y*s**2 + h*s**3 + n + v*s and give v. 0 Rearrange -13*k**2 + 26*k**2 - 3*k + 17*k**2 to x + q*k**2 + a*k and give q. 30 Express 38*t**4 + 39*t**4 - 75*t**4 + 2*t**3 + 2 + t + 3*t**2 in the form m + w*t**2 + n*t**3 + f*t + l*t**4 and give m. 2 Express (2 - 2 - h**2)*(-4*h + 3*h + 0*h) + (-h**3 - 2*h**3 + 0*h**3)*(5 - 3 - 1) as v*h**2 + c*h**3 + x*h + t and give c. -2 Express 0*p**2 + 2 + p**2 + 2*p**3 - p**4 - 1 + 0*p**2 as v*p**2 + g*p**3 + m*p**4 + h + d*p and give m. -1 Express (-1 - a**2 + 1)*(3*a - a**2 - 3*a) + (-10*a**3 + 10*a**3 - 12*a**3)*(-3 - a + 3) in the form u*a + m*a**3 + k*a**4 + c + r*a**2 and give k. 13 Rearrange n - 73*n**3 + 71*n**3 + 0*n to u*n + w + d*n**2 + b*n**3 and give u. 1 Express 29*f - 6*f - 15*f as p + c*f and give p. 0 Express (3 - 4 + 0)*(3 - 3 - y) - 11*y + 4*y - 13*y as d + j*y and give j. -19 Rearrange 75 + 5*h**2 - 75 to the form m + g*h + u*h**2 and give u. 5 Rearrange -2*j + 4*j - 3*j + (2*j - 6*j - 7*j)*(3 - 1 - 4) + j - j - j to the form t*j + g and give t. 20 Rearrange -60 + 8*b**2 - b**2 + 57 to h*b**2 + s + a*b and give h. 7 Rearrange 2*p**4 + 675*p**2 - 683*p**2 + 4*p - p to the form z*p**3 + o*p**2 + b*p + r*p**4 + x and give r. 2 Express -2*f**4 - 3*f + 0*f**4 - 3 - 2*f**2 + 1 in the form v*f**3 + w + t*f + g*f**4 + c*f**2 and give w. -2 Express 2*u**3 + u**3 + 4*u**2 - u**2 - 2*u**3 - 2*u in the form m*u + c*u**3 + q + p*u**2 and give p. 3 Express -30 - 127*w**3 + 30 + 2*w in the form p + g*w**3 + k*w**2 + s*w and give s. 2 Rearrange (-9 - 3 - 3)*(-27 - y + 27) to the form q + i*y and give i. 15 Express -2*w - w**3 + 3*w**3 - 3*w**3 + 4*w - 11 in the form h + p*w + t*w**3 + z*w**2 and give t. -1 Express -10*u + 13*u + 29*u in the form g + f*u and give f. 32 Express -2 + 96*b**3 - 100*b**3 + b**2 + 0 in the form g*b**2 + k*b**3 + a + p*b and give k. -4 Express (6 - 1 - 1)*(0*o - 3*o + 5*o) - 3*o + 14*o + 9*o as q*o + x and give q. 28 Express -3*v + 2*v + 3*v + 2*v - 3*v + 0*v - 3 - 2*v + 3 + (-3*v + v + v)*(-3 + 3 - 1) - 1 + v + 1 + v - 5*v + 4 + v as p + g*v and give p. 4 Rearrange (-2*j + 4*j + 0*j)*(j**3 + j - j) - 2*j**4 - j**4 - j**4 to the form m*j**3 + r*j**2 + c*j + v*j**4 + p and give v. -2 Express -2 + 7*c**3 + 2*c - 9*c**3 - 8*c**3 - 9*c**3 as g + v*c**3 + f*c + m*c**2 and give g. -2 Express 24*l - 3*l + 2 + 49*l as g + z*l and give z. 70 Express 8*s**3 - s**3 + 11*s**3 + (-s + 1 - 1)*(-3*s**2 + s**2 + s**2) + (2 - 2*s**2 - 2)*(-3*s + 2*s + 2*s) in the form o + h*s**2 + q*s**3 + z*s and give q. 17 Express -3*z**4 + 3*z**4 + 2*z**4 + 14*z**4 + 7 - 7 + (-z - z + 3*z)*(-3*z**3 + 2*z**3 + 0*z**3) in the form f*z**4 + x + b*z**2 + y*z + u*z**3 and give f. 15 Rearrange -27*s**2 - 11*s**2 - 15*s**2 + 5*s**2 - 3*s**2 - s**2 - 2*s**2 + 1 - 1 + (s + 1 - 1)*(-3*s - s + 2*s) to r*s**2 + k + x*s and give r. -56 Rearrange (18*z - 54*z - 76*z + (-2 + 5 - 2)*(-4*z + 2*z + 3*z))*(-z**2 + 3*z - z - 3*z) to x*z**2 + j*z**3 + t + i*z and give x. 111 Express (0*m - 3*m + 5*m)*(-4*m + 4*m + 2*m + (-2 + 2*m + 2)*(4 + 0 - 3) + 18*m - 22 + 22 - m - 4*m + 4*m) as j*m**2 + i + w*m and give j. 42 Express 2*k**2 + k**3 - 6*k + 3*k - k + 7*k in the form c + d*k**3 + y*k + v*k**2 and give v. 2 Rearrange 3 - 2*o - 3 + (1 - 4 + 1)*(-1 + o + 1) + 18*o + 41 - 41 to t + l*o and give l. 14 Rearrange (-3*u + u - 6*u)*(8*u**2 + 0*u**2 - u**2)*(0 - u + 1 - 2) to w*u + i + l*u**4 + o*u**3 + t*u**2 and give l. 56 Rearrange 9 - 68*d - 3*d**3 + 68*d to b + c*d**2 + n*d + a*d**3 and give b. 9 Rearrange -22*j**2 - 60*j**2 + 250*j**2 to the form f + i*j + m*j**2 and give m. 168 Rearrange (-3 - 2 + 2)*(-3 - 5 + 6)*(-4 + 3 + 2)*(3*z**2 - 3*z**2 - 5*z**2) to x*z**2 + m + v*z and give m. 0 Rearrange (1 - 3 + 3)*(2*q - q + 0*q) + 1 + q - 1 + 127 - 114*q - 127 to v + s*q and give s. -112 Express -3*o**3 + 10*o**2 + 9*o + o**3 - 2 - 9*o as i*o**2 + r*o**3 + s + a*o and give r. -2 Rearrange (-d**3 - 2*d**3 + 4*d**3)*(0 - 8 + 20)*(1 + 3 - 3) to the form b*d**2 + z*d**3 + o*d + j and give z. 12 Express (-2 + 2 + i)*(-3*i + 10*i - 4*i) in the form g + v*i + t*i**2 and give t. 3 Express 5*c**3 - 18*c**2 - 2 - 4*c**3 + 22*c**2 + 2*c**4 in the form u*c + x*c**3 + a*c**4 + t*c**2 + o and give t. 4 Express 523*f - 2 + 2 - 525*f - 5*f**3 in the form h*f**3 + q*f**2 + x*f + l and give l. 0 Express (4 + 3*q - 4)*(5 - 10 + 17) + (3 - q - 3)*(-1 + 1 + 2)*(3 + 1 - 6) in the form y*q + j and give y. 40 Express (2 - 3 + 3)*(-y**2 + 2*y**3 + y**2) - y**3 - y**3 + 4*y**3 - 4*y**3 - 3 + 3 in the form z + i*y**3 + w*y + t*y**2 and give i. 2 Express -24 - 86*a**2 + 53 - 29 in the form j + g*a + k*a**2 and give k. -86 Express 6 - 2 - 4 + 5*z in the form u + m*z and give m. 5 Rearrange 2*m**4 - m**4 - 2*m**2 - 4 + 2*m**4 + 2 to the form b*m**4 + l*m + w + n*m**3 + g*m**2 and give w. -2 Rearrange -10 - 3 + 13 - 227*k to the form p*k + u and give p. -227 Express (-5 - 5*j + 5)*(-j**2 + 4*j**2 - j**2 + (-2*j**2 + 4*j**2 + 0*j**2)*(1 + 0 + 3)) as q*j**2 + p*j**3 + d + w*j and give p. -50 Rearrange 1 - 1 - 86*j + 133*j to c*j + r and give c. 47 Rearrange -f + 8*f - 13*f - 47*f to the form r*f + j and give r. -53 Express -11*h + 5*h + 31*h as q*h + y and give q. 25 Express -c + 0*c - 4*c + (-4 - 1 + 3)*(-3 - 1 + 7)*(-3*c - 3*c + 5*c) in the form m + w*c and give w. 1 Rearrange (1 - 1 + 1)*(-1 - 1 + 6)*(2 - 3 - 2)*(l - l + l) to v*l + y and give v. -12 Express (m - 4 + 4 - 2)*(8*m + 3 - 3) in the form u + w*m + i*m**2 and give w. -16 Rearrange (-s - s + 4*s)*(36*s**2 + 36*s**3 - 36*s**2) to the form m*s**2 + a + y*s + f*s**3 + c*s**4 and give c. 72 Rearrange (1 + 2 + 2)*(53*c**2 + 2 + 0 - 51*c**2) to the form o + a*c + g*c**2 and give o. 10 Express (-1 + 2 + 1)*(7*r**2 + 6*r + 5*r - 2 - 9*r) as u*r**2 + t*r + c and give t. 4 Express (28 + 48*a - 28)*(3 + a - 3) - a**2 + a - a as k + w*a + n*a**2 and give n. 47 Rearrange (-8*n**3 + 15*n**3 - 11*n**3 - 5)*(-4 + 5 - 2) to the form i*n**2
{ "pile_set_name": "DM Mathematics" }
rms in -10*h**2 + 8*h**2 - 133383*h + 133383*h + 6*h**2. 4*h**2 Collect the terms in -2845*n**3 - 4194*n**3 - 4205*n**3 + 11243*n**3. -n**3 Collect the terms in 2 + 4422*h**2 + 7365*h**2 + 8*h**3 - 2. 8*h**3 + 11787*h**2 Collect the terms in -33919*s + 5650*s + 5652*s + 5657*s + 5632*s + 5661*s + 5655*s. -12*s Collect the terms in 3 - 3 - 32531*t**3 - 136588*t**3. -169119*t**3 Collect the terms in 1193*f**2 + 17*f + 32*f + 1902*f**2 + 202*f**2 + 5. 3297*f**2 + 49*f + 5 Collect the terms in 0 - 31893*h - 2 + 30573*h. -1320*h - 2 Collect the terms in 24*s**2 - 374*s + 170*s + 158*s - 9*s**2 - 17*s**2. -2*s**2 - 46*s Collect the terms in 381*p - 130*p - 1178*p - 574*p. -1501*p Collect the terms in -4274*l**3 + 51*l**2 + 4271*l**3 - 150*l - 51*l**2. -3*l**3 - 150*l Collect the terms in -2067*p + 465*p + 403*p + 407*p + 396*p + 404*p. 8*p Collect the terms in -4104*o + 8245*o + 14 + 9 - 27 - 4123*o + 4. 18*o Collect the terms in 67*k**2 - 122*k**2 + 54*k**2 + 6565 - 6565. -k**2 Collect the terms in 97280*y + 97237*y - 194965*y - 4. -448*y - 4 Collect the terms in 21081807*h**2 - 21081807*h**2 - 2*h**3. -2*h**3 Collect the terms in -24873173*g**3 + 49746273*g**3 - 24873146*g**3. -46*g**3 Collect the terms in -21*g - 292 + 290 + 147*g + 121*g - 22*g + 61*g. 286*g - 2 Collect the terms in 7 + 17*j**2 - 12*j**2 + 21 + 22. 5*j**2 + 50 Collect the terms in 839740001866*r**2 - 839740001866*r**2 + 2*r**3. 2*r**3 Collect the terms in 128*r**3 + 142*r**3 + 115*r**3. 385*r**3 Collect the terms in -458*f**3 + 554*f**3 + 396*f**3 - 465*f**3. 27*f**3 Collect the terms in 135 + 154 - 4*q + 155 + 154. -4*q + 598 Collect the terms in -1357564*n - 7*n**2 + 678778*n - 7*n**3 - 8*n**3 + 678786*n + 14*n**3. -n**3 - 7*n**2 Collect the terms in -6183173*i + 334981*i - 1358235*i. -7206427*i Collect the terms in -11972*w - 13503*w - 22596*w. -48071*w Collect the terms in 1542 - 52*n**2 - n + 43*n + 29*n**2 + 25*n**2. 2*n**2 + 42*n + 1542 Collect the terms in -391513*l**2 - 67329*l**2 - 169710*l**2. -628552*l**2 Collect the terms in -15 - 2018*t + 15 - 3712*t. -5730*t Collect the terms in -6*f**3 + 73*f - 106 - 885*f - 486*f - 191*f. -6*f**3 - 1489*f - 106 Collect the terms in -15*p - 2*p - 2781 + 54*p - 28*p + 2779. 9*p - 2 Collect the terms in 2 - 5 - 131478425706*k + 131478425679*k + 3. -27*k Collect the terms in -86926*j**2 + 173850*j**2 - 86984*j**2 - 1 + 3. -60*j**2 + 2 Collect the terms in 15254*i**3 - 11939*i**3 + 26668*i**3. 29983*i**3 Collect the terms in -127*g - 117*g - 886*g**2 - 49*g**2 + 369*g - 123*g. -935*g**2 + 2*g Collect the terms in -7*h**3 - 20*h**3 - 2122639*h + 2122639*h. -27*h**3 Collect the terms in 7 - 8 + 3 + 1069*j**3 + 2492*j**3 + 658*j**3. 4219*j**3 + 2 Collect the terms in 14375*l + 16110*l - 30466*l. 19*l Collect the terms in 3711*h**3 - 7660*h**3 - 1 - 4325*h**3 - 6823*h**3. -15097*h**3 - 1 Collect the terms in 2523*k**2 + 2900*k**2 - 62 + 29 + 22 + 13. 5423*k**2 + 2 Collect the terms in 16 - 52 + 77*b + 14 + 22 - 3*b. 74*b Collect the terms in -631 + 614*r**2 - 38*r + 38*r - 631 - 612*r**2 + 1262. 2*r**2 Collect the terms in 8270 - 2755 - 2757 + 173*n - 2757 - 287*n. -114*n + 1 Collect the terms in 2690*r**2 - 3 - 8348*r**2 + 5664*r**2. 6*r**2 - 3 Collect the terms in -35826*a - 282 + 150 + 132. -35826*a Collect the terms in 2 + 0 - 145238*l**3 - 2 + 145223*l**3. -15*l**3 Collect the terms in 11 - 43 + 29 + 1032*a. 1032*a - 3 Collect the terms in -3 - 6152*s**2 - 5*s + 2053*s**2 + 2053*s**2 + 3 + 2045*s**2. -s**2 - 5*s Collect the terms in 310 + 15*y**2 - 3*y + 16*y**2 - 23*y**2. 8*y**2 - 3*y + 310 Collect the terms in 2025252894352 + 2*t**2 + 15*t**2 - 2025252894356. 17*t**2 - 4 Collect the terms in 681*f - 2755*f + 653*f + 705*f + 656*f. -60*f Collect the terms in 21*p + 33*p + 73127 + 24615 - 19*p. 35*p + 97742 Collect the terms in -31866 - 31863 + 1238*p + 63729. 1238*p Collect the terms in -352*r - 358*r + 1416*r - 345*r - 364*r. -3*r Collect the terms in -254*i - 244*i - 336*i**3 + 812*i - 314*i. -336*i**3 Collect the terms in 22306509*x**3 - 22306592*x**3 + 39*x**2 - 39*x**2. -83*x**3 Collect the terms in -20 - 45 - 72*m - 46 - 44 + 35. -72*m - 120 Collect the terms in -1856995*x**2 + 187 - 116 + 316 + 1856997*x**2. 2*x**2 + 387 Collect the terms in -1257 - 1213 + 62*v + 2471 - 96*v. -34*v + 1 Collect the terms in -11850*i**2 - 9452*i**2 - 3771*i**2. -25073*i**2 Collect the terms in 5*o**2 + 1 + 10*o**2 - 3*o**2 + 2*o**2 + 39*o - 605*o. 14*o**2 - 566*o + 1 Collect the terms in -103*i**2 + 113446 - 226862 + 113416. -103*i**2 Collect the terms in -489*y**3 - 468*y**3 - 106*y**3 + 91*y**3. -972*y**3 Collect the terms in 18532*j**2 - 9267*j**2 + 254*j**3 - 206*j**3 - 9265*j**2. 48*j**3 Collect the terms in -222 - 29 - 8*t**2 - 118 + 369. -8*t**2 Collect the terms in -57963*c + 57963*c - 1870*c**2. -1870*c**2 Collect the terms in 369456918*b + 35*b**3 - 369456918*b. 35*b**3 Collect the terms in -3130*f**2 - 4*f**3 + 1566*f**2 + 1564*f**2 - 2*f**3 - 3*f**3 + 5*f**3. -4*f**3 Collect the terms in -38 + 1 + 3 + 23*j + 27 + 2 + 31*j. 54*j - 5 Collect the terms in -6566*x**3 - 150 + 277 - 589*x**3 - 127. -7155*x**3 Collect the terms in -72315840 - 17*i + 72315840. -17*i Collect the terms in -4783*y**2 + 253*y**2 + 6654*y**2 + 1. 2124*y**2 + 1 Collect the terms in 734151*s**2 + 3 - 839318*s**2 - 3. -105167*s**2 Collect the terms in -266403*k**3 - 15*k**2 + 9*k**2 + 6*k**2. -266403*k**3 Collect the terms in 3*k - k + 333586 - 8*k + 4*k. -2*k + 333586 Collect the terms in 5*z**2 + 1 - z**2 - 12*z**2 + 560*z**3 + 8*z**2 - 103*z**3. 457*z**3 + 1 Collect the terms in -3729*l**3 + 2*l**2 + 1790*l**3 + 1958*l**3. 19*l**3 + 2*l**2 Collect the terms in 14015*o + 15602*o + 9930*o. 39547*o Collect the terms in -1 + 1 + 141369*y - 282730*y + 141310*y. -51*y Collect the terms in -2098258 + 1048976 - 2*p + 1049282. -2*p Collect the terms in -201005*l + 402 - 402. -201005*l Collect the terms in -2*r - 156*r**3 - 316*r**3 + 1127*r**3 - 247*r**3 - 508*r**3 - 484*r**3. -584*r**3 - 2*r Collect the terms in -24*x + 931 + 952 - 1884. -24*x - 1 Collect the terms in -2753*d**2 - 1535*d**2 + 1343*d**2 - 2899*d**2 - 504*d**2. -6348*d**2 Collect the terms in 28*x - 14 + 34*x + 15 + 25*x - 5*x - 13*x. 69*x + 1 Collect the terms in -12 + 69*c**3 - 31 - 21 - 224*c**3 + 156*c**3 - 28 + 26. c**3 - 66 Collect the terms in -88121*v + 369338*v**3 + 88121*v. 369338*v**3 Collect the terms in 39880*y**3 + 2*y**2 + 39897*y**3 - 4*y**2 + 39950*y**3 - 119836*y**3 + 2*y**2. -109*y**3 Collect the terms in 18*m**2 + 4579 - 4579 - 300*m**2. -282*m**2 Collect the terms in -5*r**2 - 298 + 546 + 8*r**2 - 4*r**2 - 248. -r**2 Collect the terms in -804 + 2332 - 741 - 787 + 18*v**3. 18*v**3 Collect the terms in -124*c**3 - 210626*c - 210656*c - 3 + 421245*c. -124*c**3 - 37*c - 3 Collect the terms in -165122*k + 0 + 165307*k - 2 + 2. 185*k Collect the terms in -340*s - 173*s + 2621*s + 2778*s. 4886*s Collect the terms in 168309437202*j - 336618874397*j + 168309437194*j. -j Collect the terms in -9495113*t**2 + 2*t**3 + 3 - 9495102*t**2 + 18990215*t**2 - 3. 2*t**3 Collect the terms in -132385 - 3*m**2 + 262621 - 130236. -3*m**2 Collect the terms in -5*l - 41*l - 2*l - 3*l + 53*l. 2*l Collect the terms in -228 - 6*r**2 + 662 - 209 - 225. -6*r**2 Collect the terms in 124*b**2 - 9 + 116 + 2861*b - 2863*b. 124*b**2 - 2*b + 107 Collect the terms in -74*f**3 - 383*f**3 - 404*f**3 + 426*f**3 + 1 - 1. -435*f**3 Collect the terms in 21*t + 1388 + 1382 - 4275 + 1503 + 30*t. 51*t - 2 Collect the terms in 109 + 84*f**2 - 5*f + 106 - 215 - 169*f. 84*f**2 - 174*f Collect the terms in -121186*r + 808338*r + 751584*r. 1438736*r Collect the terms in -237*p + 451*p - 205*p + 580*p. 589*p Collect the terms in -6*i - 9*i - 9810 + 9824 - 2*i - 3*i. -20*i + 14 Collect the terms in -1476*x + 743*x - 3953*x**2 + 733*x. -3953*x**2 Collect the terms in 5065*f + 5516*f - 2042*f + 7180*f - 39. 15719*f - 39 Collect the terms in -195*c**3 - 1 + 1 - 4*c**3 - 10*c**3. -209*c**3 Collect the terms in -5464 - 482*z**2 + 243*z**2 + 245*z**2. 6*z**2 - 5464 Collect the terms in 1420*b**3 - 5*b - 18*b - 172*b**3 + 23*b. 1248*b**3 Collect the terms in -1185 - x**2 - 9652*x - 108 + 9650*x. -x**2 - 2*x - 1293 Collect the terms in -5*
{ "pile_set_name": "DM Mathematics" }
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h). -4*h**2 Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x). -x - 2 Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)? -j**2 + 1 Let j(u) = -u**3 - 96*u + 4. Let p(b) = 3*b**3 + 191*b - 9. Calculate -5*j(s) - 2*p(s). -s**3 + 98*s - 2 Let z(g) = -22*g**3 + 2*g**2 - 6*g - 4. Let t(p) = p**3 + p + 1. Calculate -5*t(y) - z(y). 17*y**3 - 2*y**2 + y - 1 Let k(f) = 0*f**2 + 5*f**2 + 6 - f**2. Let s(t) = 7*t**2 + 11. Suppose 290 = -3*g + h + 113, -4*h = -5*g - 302. Let r be 9/(-75)*-5 + g/5. Give r*k(v) + 6*s(v). -2*v**2 Let t(w) = -11*w**2 + 7. Let u(n) = 11*n**2 - 18*n - 4. Let p(h) = -12*h**2 + 21*h + 4. Let l(b) = -6*p(b) - 7*u(b). Give 7*l(m) - 4*t(m). 9*m**2 Let z(m) = 2*m**2 + 1. Let l(h) = h**2. Let u(i) = -i**3 + 39*i**2 - 39*i + 37. Let j be u(38). Give j*z(w) - 2*l(w). -4*w**2 - 1 Let k(g) be the first derivative of 0*g**3 + 21 + 55/4*g**4 + 25*g + 0*g**2. Let q(o) = 9*o**3 + 4. Give 4*k(b) - 25*q(b). -5*b**3 Let a(x) = -15*x - 267. Let b(r) = 3*r + 53. Give 5*a(j) + 24*b(j). -3*j - 63 Let y(n) = -472*n**2 - 1 + 474*n**2 + 2*n**3 + 0 - 1. Let r(w) = -6*w**3 - 7*w**2 + 7. Calculate 2*r(v) + 7*y(v). 2*v**3 Let c(j) = -6*j**2 + 7*j**3 + 260 - 266 + 3*j**3. Let u(r) = -3*r**3 + 2*r**2 + 2. Let h = 8 - 6. What is h*c(p) + 7*u(p)? -p**3 + 2*p**2 + 2 Let s(y) = -5*y**2 - 8*y - 109. Let q(r) = 2*r**2 + 3*r + 37. Determine 11*q(c) + 4*s(c). 2*c**2 + c - 29 Let p(h) = -5 + 4*h + h**2 - 3*h + 4. Let v(d) = 2*d**3 - 6*d**2 - 4*d + 6. Give -6*p(b) - v(b). -2*b**3 - 2*b Let r(j) = j**2 + 6*j + 3. Let b(l) = -6*l**2 - 31*l - 16. Let z be (-1)/2 + -3*56/(-48). Suppose -z*u + 50 = 17. Determine u*r(q) + 2*b(q). -q**2 + 4*q + 1 Let x(y) = 7*y**2 + 3*y - 4. Let v(m) = 4*m**2 + 2*m - 2. Let j = 26 + -21. Suppose 3*z - 15 = 0, -5*z = -j*g - 0 - 10. Calculate g*x(p) - 5*v(p). p**2 - p - 2 Let f(l) = -1104998*l. Let v(g) = 1897*g. Give -5*f(p) - 2913*v(p). -971*p Let q be 10/4 + (-3)/6. Let b(a) = 69*a**2 + 4*a - 72*a**q - 4 + 4. Let o(x) = -2*x - 1. Let g be o(-3). Let t(l) = -l**2 + 2*l. Determine g*t(u) - 2*b(u). u**2 + 2*u Let v(p) = -5*p**2 + 4*p + 3. Let t(i) = 5*i**2 - 5*i - 3. Determine 2*t(c) + 3*v(c). -5*c**2 + 2*c + 3 Let o be (-32 - -30)*4/8. Let j(a) = a**2 - a + 1. Let v(w) = -4*w**2 + 2*w - 3. Calculate o*v(n) - 5*j(n). -n**2 + 3*n - 2 Let y(i) = -84*i**2 - 2*i - 1. Let g(p) = -p**2. What is g(q) + y(q)? -85*q**2 - 2*q - 1 Let u(g) = -g - 1. Let i(s) = 16*s + 10. Give i(d) + 6*u(d). 10*d + 4 Let g(m) = -m**3 + 2*m**2 + 4. Let q(r) = -r**3 + 3*r**2 + 3. Determine 6*g(x) - 5*q(x). -x**3 - 3*x**2 + 9 Let j(x) = 6*x**2 - 7. Let y = 98 - 96. Let f(s) = 4*s**y - 8 + 4*s**2 + 2*s**2 - 3*s**2. Give -4*f(l) + 5*j(l). 2*l**2 - 3 Let d be 1*(-3)/6 - 162/(-36). Let r(w) = -4*w**3 + 19*w**2 - 7*w + 7. Let t(i) = -i**3 + 6*i**2 - 2*i + 2. Calculate d*r(z) - 14*t(z). -2*z**3 - 8*z**2 Let c(g) = -6*g + 12. Let u(a) = 5*a - 14. What is 6*c(h) + 5*u(h)? -11*h + 2 Let n(x) = -89*x**2 - 6. Let v(l) = 30*l**2 + 2. Give -3*n(i) - 8*v(i). 27*i**2 + 2 Let k(c) = 5*c**2 - 41*c + 6. Let x be k(8). Let u(t) = t**2 + t - 2. Let n(i) = -i + 3. Determine x*n(a) - 3*u(a). -3*a**2 - a Let d(m) be the second derivative of -m**3/3 + 5*m**2/2 - 2*m + 1. Let q(b) = -6*b + 14. What is 11*d(y) - 4*q(y)? 2*y - 1 Let n(o) = -8*o. Let z(a) = -2*a**3 + 23*a**2 - 12*a + 17. Let f be z(11). Let y(d) = -3*d. What is f*n(k) - 17*y(k)? 3*k Let g(r) = -r**3 - 5*r**2 - 18*r - 7. Let h(y) = y**3 + 4*y**2 + 12*y + 5. What is 5*g(t) + 7*h(t)? 2*t**3 + 3*t**2 - 6*t Let a(j) = -215*j - 9. Let o(w) = 209*w + 11. Give -7*a(c) - 6*o(c). 251*c - 3 Let u(v) = -v**2 + 2. Let n = -34 + 39. Suppose 2*c - 26 = 4*b + 2, -10 = n*b. Let k(q) = -3*q**2 + 5. Determine c*u(w) - 4*k(w). 2*w**2 Let s(a) = -2*a - 2. Let n(p) = -24*p - 18. Give 4*n(y) - 40*s(y). -16*y + 8 Let w(g) = -2*g**2 - g - 2. Let p(v) = -6*v**2 - 3*v - 7. Suppose -44*h = -15*h - 58. Calculate h*p(i) - 7*w(i). 2*i**2 + i Let p(l) = l + 5. Let s(m) = 3*m**2 + m + 23. Determine 3*p(u) - s(u). -3*u**2 + 2*u - 8 Let v(x) = 443*x - 906*x - 5 + 3 + 462*x - 6*x**3. Let u(a) = -11*a**3 + a + 3*a - 6*a - 3. Determine -4*u(h) + 7*v(h). 2*h**3 + h - 2 Let n(l) = -792*l + 440. Let h(i) = -88*i + 48. Determine -55*h(c) + 6*n(c). 88*c Let g(y) be the first derivative of -y**4/4 + y**3/3 - y**2/2 + y + 1. Let s(w) = -6*w**3 + 4*w**2 - 4*w + 4. What is -12*g(q) + 3*s(q)? -6*q**3 Let u(q) = 327*q**2 - 5*q + 10. Let l(m) = 490*m**2 - 7*m + 14. What is 5*l(z) - 7*u(z)? 161*z**2 Let c(m) be the third derivative of -m**4/12 + m**3/2 + 72*m**2. Let t(x) = 2*x - 4. Determine -4*c(l) - 3*t(l). 2*l Let u(a) = 12*a - 6*a - 1 + 0 - 5*a. Let s(d) = 6*d - 3. Determine -s(y) + 5*u(y). -y - 2 Let x be (-1 - 1)/(4/(-22)). Let q(r) be the first derivative of r**4/2 + 7*r**3/3 - 3*r + 3128. Let v(b) = 4*b**3 + 13*b**2 - 5. Give x*q(s) - 6*v(s). -2*s**3 - s**2 - 3 Let o(l) = 23*l**2 + 40*l + 7. Let w(y) = -15*y**2 - 27*y - 5. Calculate 5*o(k) + 7*w(k). 10*k**2 + 11*k Let h(x) = -2*x**3 - 4*x**2 + x. Let y(d) = d**3 + d**2. Suppose 2 = 21*m - 19*m. What is m*h(f) + 3*y(f)? f**3 - f**2 + f Let x(r) = 5*r**2. Let j(z) = -3*z + z**2 + 5*z - 2*z. Let m(t) = 12*t**2 - t. Suppose 6 - 9 = -3*u. Let n be m(u). Give n*j(w) - 2*x(w). w**2 Let j(d) = -d. Let v(m) = 35*m - 9. Give -6*j(f) + v(f). 41*f - 9 Let r = 205 - 206. Let l(o) = -o**3. Let g(s) = s**3 + s**2 + 4*s. Determine r*g(a) + l(a). -2*a**3 - a**2 - 4*a Let n(p) = -p + 1. Let v be -1 - (3 + -3)*(2 + -3). Let x(m) = -3*m + 6. What is v*x(t) + 2*n(t)? t - 4 Let t(h) = 19*h**2 + 8*h + 21. Let p(z) = -13*z**2 - 5*z - 14. Calculate -8*p(g) - 5*t(g). 9*g**2 + 7 Let k be -2 - 32/(-12)*30/4. Let z(v) = v**3 - v**2. Let i(u) = -4*u**3 + 4*u**2. Let o be (-184)/(-6) - 8/12. Suppose 10 = -5*x + o. Give k*z(a) + x*i(a). 2*a**3 - 2*a**2 Let y(h) = -31*h - 11. Let q(g) = 152*g + 54. Determine -3*q(b) - 14*y(b). -22*b - 8 Let n(o) = o**3 - 5. Suppose 0*w - 4*w + 16 = 0. Suppose -w*j + 4 = 2*z - 3*z, 0 = -3*j - 5*z - 20. Let f(q) = 74 + q**3 + j*q**3 - 80. What is 5*f(s) - 6*n(s)? -s**3 Let l = 20 - 7. Let x(w) = -7*w**2 - 6*w + 9. Let n(q) = -15*q**2 - 13*q + 19. Let g(c) = l*x(c) - 6*n(c). Let b(j) = -2*j**2 + 8. Give 3*b(f) - 8*g(f). 2*f**2 Let b(z) = 11*z**3 - 4*z**2 - 5*z - 7. Let d = 531 - 526. Let l(f) = 17*f**3 - 6*f**2 - 8*f - 11. Give d*l(n) - 8*b(n). -3*n**3 + 2*n**2 + 1 Let g(j) = -j**3 - 16*j**2 + 19*j + 40. Let y be g(-17). Let o(f) = -13*f + 6. Let t(b) = -26*b + 13. Determine y*t(v) - 13*o(v). 13*v Let d(w) = 2*w**2 + w - 2. Let f(b) = 6*b**2 + 3*b - 5. Suppose k + 3*m = 0, -k + 6*k + 2*m = 13. Calculate k*f(s) - 8*d(s). 2*s**2 + s + 1 Suppose g = 3*g + 110. Let c = g + 97. Let h = -59 + c. Let y(d) = -8*d**2 - 3*d + 17. Let o(s) = -3*s**2 - s + 6. Determine h*o(k) + 6*y(k). 3*k**2 - k Let q(k) = -3*k**2 + 4*k - 1. Let j(y) = -5*y**2 + 7*y - 2. Let f(o) = -4*j(o) + 7*q(o). Let n(w) = 3*w**2 - 2*w - 4. Give 2*f(r) + n(r). r**2 - 2*r - 2 Let j(v) = -7*v**2 + 12*v + 14. Let d(t) = t**2 - 3. What is 5*d(q) + j(q)? -2*q**2 + 12*q - 1 Let a(f) = 15*f**3 + 5*f**2 - 7*f - 2. Let p(u) = 23*u**3 + 8*u**2 - 11*u - 3. Let y be (0 - 10)/(-10 - (-13 - -5)). Determine y*p(v) - 8*a(v). -5*v**3 + v + 1 Suppose 8*d + 14 + 10 = 0. Let a(m) = -240*m - 155. Let z(t) = 34*t + 22. Let s(y) = d*a(y) - 20*z(y). Let p(b) = -5*b - 3. Give -25*p(u) - 3*s(u). 5*u Let z(t) = -13*t**2 + 8*t + 125. Let o(c) = 28*c**2 - 17*c - 250. What is -6*o(p) - 13*z(p)? p**2 - 2*p - 125 Let p(h) = 26*h**3 - 16*h**2 + 11*h - 1. Let b(l) = 5*l**3 - 3*l**2 + 2*l. Suppose 165*y - 44 = 169*y. Give y*b(j) + 2*p(j). -3*j**3 + j**2 - 2 Let s(o) = 67*o + 15. Let k(f) = 202*f + 41. Give -4*k(n) + 11*s(n). -71*n + 1 Let h(n) = 5*n - 3. Let t(d) be the second derivative of 2*d**3/3 - d**2 - 2*d - 57. Determine 3*h(g) - 4*t(g). -g - 1 Let i(m) = -2*m**3 - m**2 + m + 1. Let d = 1 - -4. Let k(l) = 748 - 749 - l**3 - 4*l**2 + d*l**2. Give -i(c) - k(c). 3*c**3 - c Let z(w) = -4*w**2 - 2*w + 3. Let j(h) = 1. Give -6*j(g) + 2*z(g). -8*g**2 - 4*g Let u(a) = -1. Suppose f + 5*c = -15, -9*f + 5*
{ "pile_set_name": "DM Mathematics" }
Simplify (((z**9/z)/z**(-17))**(4/5))**21 assuming z is positive. z**420 Simplify (a*(a*a**8)/a*a**(1/9))/(((a*(a**(-11)*a)/a*a)/a)/a**5) assuming a is positive. a**(217/9) Simplify (u/(u/(u/((u/(u/(u*u/(u*u*u**(-2)*u))))/u))*u))**(-4)/((u**11*u)/u**(2/23)) assuming u is positive. u**(-274/23) Simplify ((z*z**(-18)/z)/z*z)/(z*z**(5/9)*z)*z**(-2/11)/z**(7/3) assuming z is positive. z**(-2284/99) Simplify ((p*p*(p*p**8)/p)/p*p*p/p**3*(p**(1/3))**(6/25))**14 assuming p is positive. p**(2828/25) Simplify (a*a**(-24/5))**(-14)/(a**(-2/3))**(2/111) assuming a is positive. a**(88598/1665) Simplify (((m/(m/m**(1/13)))/(m/(m**(2/33)*m)))**(-40))**27 assuming m is positive. m**(-21240/143) Simplify (z/z**(-6))**(-1/14)/(z**(1/2)/z**(-13)) assuming z is positive. z**(-14) Simplify (n*n/n**13*n*n**(8/9))/(n/(((n*n**(-1))/n)/n*n*n*n))**(-8) assuming n is positive. n**(-82/9) Simplify (d**(8/9)/(d*d**10*d))/(d**(-10)/(d/(d*d*d/(d*d**(3/11))))) assuming d is positive. d**(-182/99) Simplify (v**4)**(4/11)/((v/v**(2/17))/(v/v**16)) assuming v is positive. v**(-2698/187) Simplify ((i**(-5)*i*i)/i)**29*((i/i**5*i)/i)/i**17 assuming i is positive. i**(-137) Simplify (g/((g*g**7)/g))**(-10/9)*g**(-4)*g/((g*g**15)/g) assuming g is positive. g**(-34/3) Simplify (((l*l/(l/l**3))/l)/(l**(-1/4)*l)*((l/(l**2/l))/l)/(((l*l*l**(-4/9)*l)/l)/l))**(1/2) assuming l is positive. l**(25/72) Simplify ((d**(-3))**(-24)/(d**(-12)/(d/d**(1/4))))**(-1/5) assuming d is positive. d**(-339/20) Simplify (d**14/d*d)/(d**11*d*d)*d*(d/d**(-1/4))/d*d*d*d**8 assuming d is positive. d**(49/4) Simplify ((j*j**(-13/3)/j)/j**20)/(j/(j**(-7)*j)*(j*j*j**(-1/18)*j*j)/j) assuming j is positive. j**(-617/18) Simplify ((y*y**1)**(2/119)*y*y**(-6)*y*(y*y**(-3/5)/y)/y)**(1/3) assuming y is positive. y**(-1104/595) Simplify (t**(1/4))**(-1/15)*(t**(-3/8))**(-5) assuming t is positive. t**(223/120) Simplify (p*p*p/p**(7/2))**(1/31)/((p/(p*p**3/p))/p)**(35/2) assuming p is positive. p**(1627/31) Simplify ((((w**(1/3)*w*w)/w)**(-6/29))**(-16/7))**(3/8) assuming w is positive. w**(48/203) Simplify ((p**(-1/19)*p*p)/(p/((p*(p/(p/((p**(-10/3)/p)/p)))/p)/p)*p))/(p*p**(1/4)*p*p**(-23)) assuming p is positive. p**(3275/228) Simplify ((q**11)**(2/17))**(1/44) assuming q is positive. q**(1/34) Simplify ((o**(1/4)/o*o)/o)**(-38)*(o*o**(-13))/(o/(o/(o**(-2/63)*o))) assuming o is positive. o**(1957/126) Simplify ((w*((w**(-3/7)/w)/w*w)/w)**44)**30 assuming w is positive. w**(-13200/7) Simplify ((l*l**(-1/2))**(2/25)/(l**(-1)/(l*l/l**(1/2)*l)))**(-14/5) assuming l is positive. l**(-1239/125) Simplify (d**1*d**(-1/3)/d*d**5/d**(-6))**33 assuming d is positive. d**352 Simplify (t**11/t*t**(1/4)*t)/(((t*t/t**(-2/31))/t)/t*t*((t*t*t*t**5*t*t)/t*t)/t) assuming t is positive. t**(147/124) Simplify (d**(-2/7))**(-20/9)*(d**(-1/2))**28 assuming d is positive. d**(-842/63) Simplify (d*d/(d**(9/5)*d))/d**6*d/d**(-3/13)*d/d**9 assuming d is positive. d**(-882/65) Simplify (((d*((d**(-9/4)*d)/d)/d)/(d**(-2)/d))**(-4/5))**(-10) assuming d is positive. d**6 Simplify (r*r/(r**10*r))/r**(-1)*r**9/(r*r**6*r*r) assuming r is positive. r**(-8) Simplify u**(-2/15)*u/u**20*u**8*(u/u**(-1/2))/u assuming u is positive. u**(-319/30) Simplify s*s*s/s**14*s*s/(s/(s*(s**13*s*s)/s))*s*s*(s**4)**(-43) assuming s is positive. s**(-165) Simplify ((g**(-2)*g*g*g)**(-2/17)*((g*g**2)/g*g)**(-9))**(-1/7) assuming g is positive. g**(461/119) Simplify (g/(g*g*g**5*g))/g*g*(g**12*g)/g*(g/(g**(2/3)*g))/(g**(-6)/g) assuming g is positive. g**(34/3) Simplify (r*r**(-3)*r)**16*r*((r/(r*r*r**8*r*r)*r)/r)/r*r**(-1) assuming r is positive. r**(-28) Simplify (x*x**(-11))/(x/x**(-17/2)*x*x*x*x)*x**(-23)/x*x*x**24/x assuming x is positive. x**(-47/2) Simplify (x**(-1/6))**(9/7)*(x/x**0)/x**(3/2) assuming x is positive. x**(-5/7) Simplify (b**(-4)*b/b**(1/10)*(b**(2/3)*b)**(-35))**(29/3) assuming b is positive. b**(-53447/90) Simplify ((n/((n*n*n**(-1/2))/n)*n)/n**6)/((n*n*n**8)/(n**(-1/4)/n)) assuming n is positive. n**(-63/4) Simplify (m/m**(-2/47)*m)/((m/m**31)/m)*(m**(-5/12)/m)**(-8) assuming m is positive. m**(6257/141) Simplify (q*q**(-7)/q)**(-1)/(q*q**(-1/15)*q*q**(-1/21)*q) assuming q is positive. q**(144/35) Simplify n**(-4)*n*n**17*n*n*(n*n*(n*n**(-11)/n)/n)/n**(-2/11) assuming n is positive. n**(68/11) Simplify i**13*i*i*i**(-2/9)*i*i*(i/(i/i**(-3/14)))/(i*i**11) assuming i is positive. i**(575/126) Simplify ((g**(-1/2))**(-9/7)*g/(g/(g*g**(-7)/g))*g*(g/(g*(g/((g/g**(1/7))/g))/g))/g*g)**(13/2) assuming g is positive. g**(-143/4) Simplify (y**(10/3)/y*y**(-29))**(-5) assuming y is positive. y**(400/3) Simplify t**(-3/11)*t**(-6/5)*(t*t**(-1/10))/(t/(t**(-2/7)*t)) assuming t is positive. t**(-661/770) Simplify (((l**(-1/32)/l)/l)/l**9)/((l*l*l/l**(-14))/(l/(l*(l/(l/l**(1/11))*l)/l)*l)) assuming l is positive. l**(-9547/352) Simplify (c*c/(c*c**(1/5))*c)**35*c**(5/4)/((c**(11/5)*c)/c) assuming c is positive. c**(1241/20) Simplify x**5/(x**(7/3)*x)*(x/(x**(-2/5)/x)*x)**(5/2) assuming x is positive. x**(61/6) Simplify j**1*j*j**(-2/9)*j/((j/(j*j**(-1/3)))/j*j)*j/j**(2/5)*j assuming j is positive. j**(182/45) Simplify h*h/(h/(h**14/h)*h*h)*h/(h/(h/h**12))*h**(-11)/(((h**(-4)*h)/h)/h) assuming h is positive. h**(-5) Simplify (k/(k*k**1)*k/(k/(k/(k/k**21))))**(5/16) assuming k is positive. k**(25/4) Simplify ((n**(-3/5))**(-1/4))**(-1/19) assuming n is positive. n**(-3/380) Simplify (j/j**(-2/41))/j**(-20)*(j**(2/19))**(-36) assuming j is positive. j**(13445/779) Simplify (k**(-33)*k**(-2/15))/((k**(-1/27)/k)/k**(-32)) assuming k is positive. k**(-8653/135) Simplify (((a*a/(a**(-2)*a))/a)/(((a/((a**(-3/4)/a)/a))/a)/a))/(a*a*a*a**(-6)*a)**(-2/47) assuming a is positive. a**(31/188) Simplify (q**(-3/2)/(q/q**(1/11))*q*q/(q/(q/(q/(q*q*q**(-2/3)/q))))*q/(q/((q*q**(-2/7))/q))*q)**29 assuming q is positive. q**(-4843/462) Simplify (o**(2/5)/o*o*o)**(-13)/((o**(-4/5)*o*o)/o**11) assuming o is positive. o**(-42/5) Simplify ((c*c/(c**(-31)/c)*c)/c**(2/7))**(1/4) assuming c is positive. c**(243/28) Simplify h/(h/(h*h*h**6/h))*h*h**(1/3)*h**(2/37)*h*h*h**(-4)*h*h*h*h assuming h is positive. h**(1153/111) Simplify ((v/v**(2/5))**(1/56)/(v*v*v/(v**(-3)*v)*v*v**(-5/4)*v*v))**41 assuming v is positive. v**(-77367/280) Simplify ((t**(-2/5)*t*t/(t*t**(2/5)*t))/(t**(-1))**(12/7))**(-10) assuming t is positive. t**(-64/7) Simplify ((f**(3/5))**(3/5))**(1/10) assuming f is positive. f**(9/250) Simplify (r**(1/4)/r)**(-2/13)*(r**(2/9))**(-2/107) assuming r is positive. r**(2785/25038) Simplify (b**(-2/5)*b*b**(-2/9))/(b*b**(-1/33))**(-2/11) assuming b is positive. b**(3017/5445) Simplify ((y**(2/5)/y)/y*y)**(3/7)/((y**(2/27)/y)/(y**(1/3)*y)) assuming y is positive. y**(1892/945) Simplify (d**(-1/13))**2/(d**(2/21))**(7/5) assuming d is positive. d**(-56/195) Simplify o*o/o**(-16)*o**(-2)*(o/(((o*o**(1/2))/o)/o))**(-23/2) assuming o is positive. o**(-5/4) Simplify (t**(-2/11)*t/(t/(t*(t**(-24)*t)/t)))/(t*t**(-1/2)*t*t**(-8)*t) assuming t is positive. t**(-389/22) Simplify (g*g**(-2/21)/g)/(g*g**8*g*g)*(((g*g/(g*g*g**(-2/35)*g))/g)/g*g)/(g/g**(2/25)) assuming g is positive. g**(-7328/525) Simplify ((i**(-11/6)*i*i)/(i/i**(-11)))/(i*i**1*i*i/(i/i**(2/57))) assuming i is positive. i**(-565/38) Simplify d**(2/9)*(d/d**(11/3))/d*d*((d*d*d/(d/d**(-11)))/d)/(d**(4/5)/d*d) assuming d is positive. d**(-596/45) Simplify (t**(-5/8)*t**8)/(((t*t**(9/5))/t)/t*t*t**(-23)) assuming t is positive. t**(1143/40) Simplify ((w**(-11)*w)/w*w*w**3/w)**(4/11) assuming w is positive. w**(-32/11) Simplify ((h/((h/(h**(-1/2)/h))/h))**20*(h*h**(-3))/((h/(h*h**(-2)*h))/h))**(-26) assuming h is positive. h**312 Simplify ((r*r*r/(r/(r/(r/r**(-2/91))*r)))/r*r**(-2/21))**(-2/97) assuming r is positive. r**(-1028/26481) Simplify y**(-3)/y**(2/9)*(y*(y/y**(3/7))/y)**(-5/9) assuming y is positive. y**(-223/63) Simplify (w/(w*(w**7/w)/w*w))**20/(w**(-2/9))**(-3/10) assuming w is positive. w**(-1801/15) Simplify ((b*b**21*b)/b*b**(-9/4))/(b/b**(7/3))**(2/21) assuming b is positive. b**(5009/252) Simplify ((t/(t*t**(-2/13)))**(3/10)/(t**(2/13))**(3/4))**12 assuming t is positive. t**(-54/65) Simplify ((j/(j/(j/j**17)))**(-5/2))**(-5) assuming j is positive. j**(-200) Simplify (i**(8/3)*i**(3/23))/(i**16)**34 assumin
{ "pile_set_name": "DM Mathematics" }
+ 4*t) - 4*t**4 - t**4 + 3*t**4 as m + d*t**3 + o*t**4 + x*t**2 + l*t and give d. 0 Express 154*u - 242*u + 1 + 1 - 2 in the form o*u + w and give w. 0 Rearrange -3 + 171*x**2 + 3 + 8 - 169*x**2 - x + 1 to h + f*x**2 + o*x and give h. 9 Express -2*d**3 + d**2 + 11 - 8 - 4 - 12*d**4 + 7*d**4 as k + s*d**3 + t*d + i*d**2 + h*d**4 and give i. 1 Rearrange (2*l**2 - l**2 - 2*l**2)*(-274 - 14 - 31) to y*l + u*l**2 + o and give u. 319 Rearrange -4*p**3 + 7*p**3 - 7*p**2 + 0*p**3 + 6*p**2 - p + 32*p**2 to the form d*p + s + a*p**3 + z*p**2 and give d. -1 Express (-g + 3*g + 0*g)*(14*g + 0*g + 3*g)*(4 - 3 + 6*g**2 + 2) in the form p*g + f + x*g**3 + m*g**2 + q*g**4 and give q. 204 Rearrange 234*g**2 - 590*g**2 + 290*g**2 + 1 to r*g + x + a*g**2 and give x. 1 Express -30*b**2 + 70*b**2 - 134*b**2 - 129*b**2 as q*b + u*b**2 + a and give u. -223 Rearrange -250*c + 130*c + 291 + 125*c to the form a + x*c and give x. 5 Rearrange 0*z**2 + z**2 + 2*z**2 + (-2*z - 88 + 163 - 121)*(3*z + 0*z - 4*z) to p*z**2 + n*z + x and give p. 5 Rearrange (-2*d + 3 - 3)*(0*d + 0*d - 2*d) - 5*d**2 + 5*d**2 + 2*d**2 - 5 + 5 + 7*d**2 + 20*d**2 - 6*d**2 - d**2 to x*d**2 + t*d + n and give x. 26 Express -40 + 105 - 34 - 5*u**2 - 34 - 3*u as c*u**2 + g + q*u and give g. -3 Express (-5 + 4 + 2)*(-7*z + 8823 - 17602 + 8617) as n*z + x and give x. -162 Express y**2 + 9 - 3*y**2 - 10*y**2 - 3*y**2 in the form s*y**2 + x*y + t and give t. 9 Rearrange (27 + 4 + 16)*(-9*m - 12 + 12)*(-m - 3*m + 2*m) to c*m**2 + f + y*m and give c. 846 Rearrange -126 - 2*p + 4*p**3 + 125 + 50*p**4 + 0*p**3 - 4*p**3 to the form u + x*p + r*p**3 + k*p**2 + o*p**4 and give x. -2 Express (3 + 2 - 7)*(8 - 8 - 12*j)*(-3*j - 4*j + 4*j) as d*j + m + b*j**2 and give b. -72 Express (-2*x + 4 - 4)*(2 + 2 - 6)*(-37*x - 30 + 20*x + 19*x) as h*x + r*x**2 + m and give h. -120 Rearrange (-4 + m + 0 + 5 + (0 + 0 - m)*(23 + 17 - 14))*(-2 + 1 + 0) to the form k + q*m and give q. 25 Rearrange -2*j**4 + 6*j**2 - 29*j**3 + 29*j**3 - 5*j**3 - 10*j to n + g*j**3 + k*j**2 + r*j + y*j**4 and give y. -2 Rearrange -3*i**3 - 75*i - 22*i**4 + 40*i + 33*i + 4*i**3 to h*i**4 + l*i + w*i**2 + c + q*i**3 and give q. 1 Express -4*v + 2*v**4 + 3*v**3 - 5*v**3 - 8*v**3 + 0*v**4 + 8*v**3 in the form d*v**3 + j*v + p*v**4 + k + q*v**2 and give j. -4 Express (u**2 + 6 - 6)*(-2 + 0 + 3)*(-22*u - 27 + 27) in the form t*u + p*u**2 + b*u**3 + d and give p. 0 Rearrange (-3*s + s + 0 - 1)*(-12299 + 2*s + 12455 - s) to n*s + c + f*s**2 and give n. -313 Rearrange (-1 + 6 - 1)*(-70*c - 76*c - 59*c + 65*c) to i*c + z and give i. -560 Rearrange -7882 + 7882 + 27*n**4 + (-n**3 + 0*n**3 + 5*n**3)*(n + n + 0*n) + n**4 + 3*n - 3*n to the form l*n**4 + y + b*n**2 + f*n**3 + r*n and give l. 36 Express ((4 - 4 - 2*x)*(3 - 2 + 0) + x - 2*x + 2*x)*(-11 - 77 - 28) as a + b*x and give b. 116 Rearrange (k - 2*k - 2*k)*(4 + 4 - 3) + (1 - 4 + 2)*(0*k - 8*k + 2*k) + (0 + 0 + 2*k)*(0 + 0 + 1) to the form d*k + j and give j. 0 Rearrange -9*w**3 - 14*w**2 - 3*w**3 - 4*w + 10*w**3 - 53*w**4 + 2*w + 18*w**2 to h*w**4 + x*w + g + d*w**3 + z*w**2 and give x. -2 Rearrange 3*x**4 + 3*x**3 - 14 + 7 + 9 + 4*x - 3*x**3 + 2*x**3 to p*x**2 + c*x**3 + k*x**4 + d + n*x and give k. 3 Rearrange -19*n + 3598*n**3 - 1808*n**3 - 1798*n**3 to c*n**2 + s*n**3 + o*n + f and give o. -19 Rearrange 6*h + 46*h**3 - 85*h**2 - 77*h**3 + 85*h**2 to q*h**2 + y + a*h + d*h**3 and give d. -31 Express y**4 - y**2 - 4*y**3 + 7*y**3 + 4 - 4 - 1 in the form v*y**3 + z*y + u + o*y**2 + k*y**4 and give k. 1 Express -22*t**2 + 2 + 822*t**3 + 20*t**2 - 821*t**3 as b*t + q + h*t**2 + m*t**3 and give m. 1 Express 32*b**3 - 3*b**2 + 267*b + 277*b - 542*b as v*b + o + s*b**3 + j*b**2 and give s. 32 Rearrange (3*x + x - 2*x)*(-26 + 80 + 52)*(-4 - 1 + 3) to the form w*x + r and give r. 0 Rearrange (-4 + 3 - 3)*(-15*l - 10*l + 18*l) + 23*l + 15*l + 17*l - 20*l to o + i*l and give o. 0 Express -2206*w + 1108*w + 1105*w + 47 in the form x*w + q and give x. 7 Express (-s - 2*s**2 + s)*(123 + 507 + 139) in the form r + a*s + v*s**2 and give a. 0 Express (6 + 29*c**3 - 6)*(-38 - 3 - 39)*(-3 + 3 + 2) in the form d*c**3 + j*c**2 + w*c + m and give d. -4640 Express 735*d**3 - 2*d - 10*d**4 + 3*d**2 - 737*d**3 - d**2 as a*d**3 + r*d + o*d**4 + w*d**2 + c and give o. -10 Express 4*x + 0*x - x + (-1 + 1 - x)*(4 - 2 - 4) + 37*x - 74*x + 36*x - 2 + 0*x - x + 1 as l*x + q and give q. -1 Express -85*k + 10*k - 2 + 123*k + 0 - 262*k as v + c*k and give c. -214 Express 0*r + 3*r + 0*r - 2*r + r - r - 2*r + 0 + 0 + (-3 + 2 + 2)*(-6*r + 2*r + 3*r) - 83*r + 159*r - 78*r - 22 + r - 1 + 1 as q + g*r and give q. -22 Rearrange -115 + 2*q + 59 - 2*q**2 + 53 + 2*q**3 to the form y + b*q + v*q**2 + l*q**3 and give y. -3 Express (n - n - 3*n**2)*(-324*n - 559*n + 209*n)*(2 + 3 - 3) as l*n**3 + u*n + b*n**2 + r and give l. 4044 Rearrange 1592*n**2 + 0*n - 5*n - 1593*n**2 + 0*n**3 + 4*n**3 to the form s*n + f*n**3 + v + u*n**2 and give f. 4 Express 3*v**2 + 0*v**2 + 5*v**2 + (3*v - 2*v - 2*v)*(2*v + 2*v - 2*v) - 2*v**2 + 0*v**2 + 9*v**2 in the form m*v + x*v**2 + s and give x. 13 Rearrange (-2*o**2 - o**2 - 2*o**2)*(-537*o + 207*o + 280*o + 167*o) to the form g*o**3 + h*o + v*o**2 + b and give g. -585 Express (x + 3075 - 2860 - 2*x)*(-2*x - 2*x + 2*x)*(x - 2*x**2 - 2*x**2 + 1 + 0*x**2) in the form j*x**4 + d + g*x + r*x**2 + k*x**3 and give g. -430 Express k**3 + 19 + 43*k**2 + 15 - k - 42*k**2 as y*k**3 + u*k**2 + o*k + n and give n. 34 Express (-4 + 4 + 1)*(0*d + 4*d - 3*d)*(-19 - 4 - 7)*(0*d - 8*d + 2*d)*(1 - 2 - 1) in the form o*d + m + s*d**2 and give s. -360 Express a**2 + a**2 + 0*a**2 - 5*a**4 + 3*a**3 + 5*a + 3*a**4 as m*a**3 + f*a**4 + s + y*a**2 + i*a and give y. 2 Rearrange -196*v**3 - 81*v**2 + 84*v**2 + 200*v**3 + 15*v**4 + 2*v to u + r*v**2 + n*v**4 + f*v**3 + z*v and give r. 3 Express -4012 + 4012 - 58*h in the form u + m*h and give m. -58 Rearrange (-2 - 5 - 1)*(-2 - 3 + 4)*(-2 - 8*g - g + 3*g) to c*g + i and give c. -48 Rearrange 3*i + 2*i**3 + 3934 - 3927 - 6*i + i**3 to the form w*i**2 + o + x*i**3 + a*i and give o. 7 Express ((0*t + 3*t - 2*t)*(0 - 1 + 0) + 4*t - 3*t - 4*t)*(-25*t - 99 - 34*t + 58*t) as p*t**2 + c*t + w and give p. 4 Rearrange -5 - 1 - 1078*p**2 + 3*p**3 + 2156*p**2 - 1080*p**2 to the form g + i*p + r*p**3 + s*p**2 and give r. 3 Express q - 4*q**3 + 10*q**3 - 69*q**4 + 73*q**4 - 5*q**2 in the form k*q + v*q**3 + y*q**2 + j*q**4 + b and give y. -5 Rearrange (1 - r - 1)*((-r + 3*r - r)*(3*r - 2*r + 0*r) + (0 + 0 - 16*r)*(-r - 4*r + 3*r)) to s*r + z + q*r**3 + l*r**2 and give q. -33 Rearrange 77*k - 145*k + 68*k - 2*k**3 + 157*k**2 + (-2*k + 2*k + k)*(-k**2 - 1 + 1) to a + x*k**3 + w*k**2 + s*k and give x. -3 Express -10*y**4 + y**3 + 25*y**4 - 5 + 2*y**2 + 9 - 6 as z*y**2 + a*y**4 + m*y + u + k*y**3 and give u. -2 Rearrange (-5187*y**3 + 1992*y**3 + 2236*y**3 + (0*y**2 + y**2 + y**2)*(4*y - 6*y + y))*(2 - 3 + 2) to v*y**3 + k + u*y**2 + b*y and give v. -961 Rearrange -2*z**2 - 2*z**2 + 3*z**2 + (940*z - 938*z + 128 + 51)*(z + 2*z - 5*z) to y*z**2 + d*z + n and give d. -358 Rearrange (0*w - w - w)*(7 - 3 - 1) - w - 1 + 1 - 8607*w + 8588*w + 3 - 5 to the form a + h*w and give h. -26 Express (0 + 0 + 4)*(-p + 658 - 658)*(-5*p**3 + 2*p**3 + 7*p**3) in the form y*p**3 + l + z*p**2 + f*p + w*p**4 and give w. -16 Rearrange 81*x + 0 - 400*x + 0 to the form m*x + i and give m. -319 Rearrange (-320*i - 38824 + 38824)*(-4*i**3 + 3*i**3 - i**3) + 2*i**4 + 2*i**4 - 2*i**4 to u*i**3 + x + n*i + h*i**4 + k*i**2 and give h. 642 Express (3*w**2 + 4*w - 2*w**2 + 1 - 4)*(49 + 26 + 49)*(2 - 3 + 2) in the form n*w**2 + y + v*w and give y. -372 Rearrange -12*i**2 + 32*i**2 - 24*i - 11*i**2 + 10 - 8*i**2 to t*i**2 + d*i + y and give y. 10 Rearrange (-4*t**2 + 4*t**2 + t**4)*(-199 - 27 + 36) to z*t + p*t**2 + r + u*t**3 + s*t**4 and give s. -190 Express (28*h + 196*h + 33*h)*(14*h - 14*h - 42*h) as n + q*h + f*h**2 and give f. -10794 Express (0*a - 4*a + 6*a)*(2 - 6*a - 2 + 4) + (1 + 1 - 1)*(-2*a + 2*a - 4*a)*(-1 - 2*a + 1) as q*a + f*a**2 + w and give f. -4 Rearrange (-1 + 2*w + 1)*(0*w**3 - 2*w**3 - 2*w**3) + 0*w**4 + 2*w**4 - 3*w**4 to v*w**3 + b*w**4 + u*w + y*w**2 + m and give b. -9 Rearrange (-n**3 - 1 + 1)*(41 + 301 - 92 +
{ "pile_set_name": "DM Mathematics" }
t m(o) = -9*o**3 - 2*o**2. Let p(w) = 69*w - 347. Let i be p(5). Let y(f) = -91*f**3 - 21*f**2. Determine i*y(b) + 21*m(b). -7*b**3 Let y(m) = m**2 + 2*m + 22. Let o(q) = -q - 3. What is 14*o(r) + 2*y(r)? 2*r**2 - 10*r + 2 Let w(c) = -7*c**3 + 5*c**2 - 45*c + 30. Let z(j) = j**3 - j**2 - 5. What is -w(f) - 6*z(f)? f**3 + f**2 + 45*f Let h(o) = -5*o. Let j(x) = 3*x - 4. Let b be j(2). Let r(d) = 2 + d**2 - b + 3*d + d. What is -2*h(l) - 3*r(l)? -3*l**2 - 2*l Suppose 2*o = 10, 5*l + 0*l + 4*o = 35. Let f(h) = -5*h + 2 + l - 5. Let w(a) be the first derivative of 8*a**2 - 1. Calculate -10*f(k) - 3*w(k). 2*k Let o(u) = -3*u + 1. Let x(y) = y**3 - y**2 - 6*y + 2. Let z(p) = -2*o(p) + x(p). Let m(f) = -f**3 + 5*f**2 + 1. Calculate m(t) + 4*z(t). 3*t**3 + t**2 + 1 Let t(s) be the first derivative of -s**3/3 - 5*s**2/2 - 5*s + 62. Let x(c) = -3*c**2 - 18*c - 18. Give 18*t(b) - 5*x(b). -3*b**2 Let x(w) = -2*w**3 + w**2. Let u(a) = -11. Let l(k) = -4. Let n(h) = -3*l(h) + u(h). Calculate -2*n(c) - x(c). 2*c**3 - c**2 - 2 Let y(d) = 6*d**3 - 4*d**2 - 4*d + 4. Let g(x) = 7*x**3 - 5*x**2 - 5*x + 5. Let m(n) = 4*n**2 + 61*n + 20. Let j be m(-15). Give j*y(w) - 4*g(w). 2*w**3 Suppose 52*c + 114 = 33*c. Let j(g) = 259*g**2 + 77*g + 77. Let k(i) = 20*i**2 + 6*i + 6. Determine c*j(o) + 77*k(o). -14*o**2 Suppose -12*j = -7*j - 265. Let i(z) = 30 - z - j + 24. Let s(a) = -a**2 + a + 1. Give i(h) - s(h). h**2 - 2*h Let c(n) = 3*n - 2. Suppose -3*w = -7*w - 36. Let a(h) = 76*h - 40. Let u(g) = -15*g + 8. Let f(y) = -2*a(y) - 11*u(y). Calculate w*c(j) + 2*f(j). -j + 2 Suppose 13 = -2*o - 13. Let m = o + 12. Let l(x) = 3*x**3 - x**2 + x + 1. Let y(s) = -s**3 + s**2 - s - 1. What is m*y(n) - l(n)? -2*n**3 Let i(y) = 2*y. Let c(k) = 2*k**2 + 9*k + 27. Give c(h) - 4*i(h). 2*h**2 + h + 27 Let m(a) = -127687*a + 1221. Let y(n) = 629*n - 6. Give -2*m(i) - 407*y(i). -629*i Let i be -1 - (-5 + (5 - 3)). Let s(l) = -2*l + 2*l + 4*l - l**2 + 5*l**3 + i + 2. Let x(u) = -u**3 - u - 1. Let j = -1 + 2. Calculate j*s(o) + 4*x(o). o**3 - o**2 Suppose -p + 2 = -2*p. Let f(v) = -6 + v - 2*v**2 + 5*v - 6*v. Let n(t) = t**2 + 3. Give p*f(k) - 5*n(k). -k**2 - 3 Let m(i) = 460*i**3 - 575*i + 575. Let u(t) = -t**3 + t - 1. Calculate -m(o) - 575*u(o). 115*o**3 Let n(q) = -3*q**2 - q + 10. Suppose 31*w + 107 + 110 = 0. Let o(d) = 2*d**2 + d - 7. Calculate w*o(y) - 5*n(y). y**2 - 2*y - 1 Let f(w) = -2*w**2 + 5. Let u(a) = a**2 - 1. Suppose -4*z = p + 14, -2*p - 11 + 7 = 2*z. Let n be 2*-5*(p - 6/4). What is n*u(b) - f(b)? -3*b**2 Let b(y) = -2*y - 4. Let k = -11 - -6. Let w(r) = -3*r - 7. Let t be (30/(-35))/((-2)/7)*1. Give k*b(s) + t*w(s). s - 1 Let r(q) = -31*q - 2. Let k(u) = -6*u. Calculate -4*k(a) + r(a). -7*a - 2 Let x(s) = -s**3 - 2*s + 1. Let q(p) = -2*p - 4. Let h be q(-3). Let v(m) = 2*m + 0*m**3 - 6 + 0*m**2 + 5*m**3 - 2*m + 11*m - m**2. Calculate h*v(t) + 11*x(t). -t**3 - 2*t**2 - 1 Let w(d) = -d**3 - 2*d**2 + 28*d - 2. Let b(k) = 3*k**3 + 7*k**2 - 86*k + 7. What is -6*b(x) - 21*w(x)? 3*x**3 - 72*x Let m(t) = 2*t**2 + 2*t + 2. Let h be (-12)/(-2)*3/9. Let b(l) = l**2 + 16*l. Let q(i) = -3*i**2 + 11*i - 5. Let a(f) = b(f) - q(f). Calculate h*a(v) - 5*m(v). -2*v**2 Let d(h) = -h - 1. Let p(j) = 0*j - 3*j - 10 + 7*j + 23 - 15. Calculate -2*d(t) + p(t). 6*t Let b(u) = u**2 - u. Let c(t) = t**3 - 9*t**2 + 9*t - 1. Let s = -1467 + 1465. Give s*c(k) - 18*b(k). -2*k**3 + 2 Let o(v) = -4 + 0 - 3*v**2 + 4. Let m(s) = -6*s**2. Let g be 4*7/((-21)/(-12)). Let w = 7 - g. Give w*o(l) + 4*m(l). 3*l**2 Suppose 3*s - 7*s + 40 = 0. Let n(w) = -s*w + 6 + 3*w + 5*w. Let c(x) = -1. What is 4*c(d) + n(d)? -2*d + 2 Let n(a) = -7*a**3 + 9*a - 35. Let o(c) = 6*c**3 - 7*c + 36. Give 3*n(t) + 4*o(t). 3*t**3 - t + 39 Let v(q) = 13*q - 5. Let c be -31 - (72/56 - 4/14). Let p(y) = 84*y - 32. Determine c*v(i) + 5*p(i). 4*i Let s(m) be the third derivative of m**6/40 - m**4/8 - m**3/3 + 74*m**2. Let c(n) = 4*n**3 + n**2 - 4*n - 3. Determine 2*c(y) - 3*s(y). -y**3 + 2*y**2 + y Let l(o) = 236*o**3 - 14*o**2 - 14*o - 14. Let z(u) = -79*u**3 + 5*u**2 + 5*u + 5. Determine -5*l(g) - 14*z(g). -74*g**3 Let q(g) = -54*g - 4. Let v(z) = -164*z - 13. Calculate 14*q(u) - 4*v(u). -100*u - 4 Let q(y) = 105*y**3 + 3*y**2 - 3*y + 4. Let f(w) = -w**3 + w**2 - w + 2. Give 3*f(z) - q(z). -108*z**3 + 2 Let o(j) = -79*j**3 + 2*j**2 + 1. Let m(x) = -237*x**3 + 7*x**2 + 3. What is 2*m(l) - 7*o(l)? 79*l**3 - 1 Let z(o) = 32*o - 65. Let g be z(2). Let n(d) = 6*d**3 + 9*d. Let k(r) = -2*r - 1. Let y be k(4). Let t(m) = -m**3 - m. What is g*n(a) + y*t(a)? 3*a**3 Let u(p) = p**2 - 2*p**2 + 6*p**2 - 4*p**2 + 5*p - 6. Let i(n) = n**2 + 4*n - 5. What is -4*i(d) + 3*u(d)? -d**2 - d + 2 Let q(z) = -172*z - 2. Let b(v) = -85*v. Give 5*b(p) - 2*q(p). -81*p + 4 Let w(c) = -2*c**2 + c - 5. Suppose 5*s + 9 = h + s, 3*s = 3*h. Let q(j) = 2*j**2 - j + 4. Calculate h*q(g) - 2*w(g). -2*g**2 + g - 2 Let f = 838 + -839. Let c(v) = v**2 - v + 1. Let r(p) = 3*p**2 - 7*p + 3. Calculate f*r(s) + 5*c(s). 2*s**2 + 2*s + 2 Let q(y) be the second derivative of -y**4/3 + y**3/3 - y**2/2 - 5*y + 28. Let v(t) = -4*t**2 + t - 1. Give 2*q(o) - 3*v(o). 4*o**2 + o + 1 Let k(v) = 3*v - 8*v + 2*v + v**3 + 3. Let c(x) = -x**3 - x**2 + 7*x - 7. Let b(h) = -h**3 + h**2. Let o(n) = b(n) + c(n). What is 5*k(l) + 2*o(l)? l**3 - l + 1 Let s be 108 + 0 - (17 + -14). Suppose -a + s = 4*a. Let f(i) = 36*i - 21. Let x(j) = -7*j + 4. Give a*x(w) + 4*f(w). -3*w Let a(p) = 1. Let u(c) = -2*c**2 - 3*c + 3. Let t be (5/15*-3)/1. Suppose -f = k - 4, 5*f + 0*k = k + 20. Determine f*a(v) + t*u(v). 2*v**2 + 3*v + 1 Let k(t) = 7*t**3 + 15*t**2 + 5*t + 117. Let d(w) = -3*w**3 - 6*w**2 - 2*w - 59. Give 5*d(x) + 2*k(x). -x**3 - 61 Let w = -640 + 629. Let z(q) = -4*q**2 + 1. Let h(g) = -9*g**2 + 2. Determine w*z(j) + 6*h(j). -10*j**2 + 1 Let y(g) = -9*g - 5. Let v be (-25)/(-5) + (-5 + 15 - 13). Let f(t) = -4*t - 3. Determine v*y(c) - 5*f(c). 2*c + 5 Let m be (-1)/((-2)/(-22))*1. Let t = 6 + m. Let l = -11 + 18. Let f(k) = 4*k**2 - 9*k + 5. Let v(z) = 6*z**2 - 13*z + 7. Give l*f(o) + t*v(o). -2*o**2 + 2*o Let n(m) = 6*m**2 - 3*m - 6. Let d(h) = -23*h**2 + 2*h + 11. Let b(o) = 22*o**2 - 3*o - 12. Let l(i) = 6*b(i) + 5*d(i). Determine 3*l(x) - 8*n(x). 3*x**2 - 3 Let s(i) = -26*i - 16. Let z(a) = 8*a + 5. Determine -2*s(j) - 7*z(j). -4*j - 3 Let o(y) = -5*y**2 - 41*y. Let d(h) = -14*h**2 - 122*h. Give -4*d(p) + 11*o(p). p**2 + 37*p Let q(a) = -11*a**3 + 11*a - 8. Let t(d) = -10*d**3 + 10*d - 7. Calculate -6*q(l) + 7*t(l). -4*l**3 + 4*l - 1 Let p(q) = 2*q**3 - q + 9. Let b(g) = -2*g**3 + g**2 + g - 8. Calculate -4*b(m) - 3*p(m). 2*m**3 - 4*m**2 - m + 5 Let m(i) be the second derivative of -3*i**5/20 + 11*i**4/12 - 3*i**2 + 2*i - 201. Let u(s) = -s**3 + 4*s**2 - 2. What is 6*m(k) - 17*u(k)? -k**3 - 2*k**2 - 2 Let q(j) = 2*j + 1. Suppose -4*o + 3*o - w - 3 = 0, -3*w - 7 = 4*o. Suppose o = 5*m - 18. Let l = -8 + m. Let h(k) = 2*k + 1. Give l*q(t) + 5*h(t). 2*t + 1 Let i(q) = 3*q**2 + q + 2. Let x(s) = -s - 1. Let m be (-4)/((-24)/2)*(6 + 3). Suppose -2 = m*a + 4. Calculate a*x(l) - i(l). -3*l**2 + l Let k be (2 - (3 + 2))*1. Let q(n) = 0*n**3 + 34*n - 4*n**3 - 2*n**3 - 41*n - 5 - 5*n**3. Let i(t) = 6*t**3 + 4*t + 3. Calculate k*q(d) - 5*i(d). 3*d**3 + d Let q(z) = 120*z - 14. Let l(w) = -121*w + 11. Calculate -5*l(d) - 4*q(d). 125*d + 1 Let g(k) be the third derivative of -4*k**5/15 + k**4/6 - 2*k**3/3 - 581*k**2. Let v(x) = -x**2 + x - 1. What is -g(r) + 4*v(r)? 12*r**2 Let o(k) = -54*k - 65. Let z be o(-1). Let b(i) = -5*i - 2. Let g be (2/(-3))/((-2)/(-6)). Let f(r) = -r**2 + 26*r + 11. Determine g*f(l) + z*b(l). 2*l**2 + 3*l Let v(s) = s - 1. Let q(m) = -45*m + 16. Let p(a) = -20*a + 8. Let f(g) = -7*p(g) + 3*q(g). Determine f(t) - 3*v(t). 2*t - 5 Let g(a) = 3*a**2. Let h(c) = 6*c**2. Let n(v) = 5*v - 45. Let b be n(6). Give b*g(u) + 6*h(u). -9*u**2 Let q(m) = 198*m**3 + 5*m**2. Let i(u) = -57616*u**3 - 1456*u**2. Calculate 5*i(y) + 1456*q(y). 208*y**3 Let j(v) = -3 - 21*v - 29*v + 53*v. Let b(c) = -8*c + 8. What is -4*b(q) - 11*j(q)? -q + 1 Let h(c) = -29*c + 1. Suppose 5*v + 5*b - 104 = 3*b, -4*v + 3*b = -97. Let y(n) = 6*n + 3*n - v*n + 6*n. Determine -2*h(o) + 9*y(o). -5*o - 2 Let s be 114
{ "pile_set_name": "DM Mathematics" }
ve of 0*k**3 + 0 - 2*k + 1/126*k**7 + 0*k**2 - 1/30*k**6 + 0*k**5 + 1/9*k**4. Factor y(x). x**2*(x - 2)**2*(x + 1)/3 Let y(k) be the first derivative of -k**5/25 + k**4/20 + 3. Determine f, given that y(f) = 0. 0, 1 Factor 9/5*y**4 + 9/5*y**3 + 0*y + 3/5*y**5 + 0 + 3/5*y**2. 3*y**2*(y + 1)**3/5 Let j(v) = -v**2 - v + 1. Let u(n) = 5*n**2 + 5*n - 2. Let s = -16 - -18. Let c(y) = s*j(y) + u(y). Factor c(a). 3*a*(a + 1) Let f be 26/8 + (-7)/28. Let -f*u**2 + 9*u + 6 + 4*u**2 - 3*u**2 + 5*u**2 = 0. Calculate u. -2, -1 Let u be (((-14)/(-1))/(-2))/(-1). Let d be u/14 + (-77)/(-6). Let 16/3*v**3 + 17/3*v - 2/3 - d*v**2 = 0. Calculate v. 1/4, 2 Let u(a) be the second derivative of 0*a**2 + 1/135*a**6 - 6*a + 0 + 0*a**4 + 1/90*a**5 + 0*a**3. Factor u(p). 2*p**3*(p + 1)/9 Solve -109*y + 59*y + y**2 + 54*y = 0. -4, 0 Let r be 6/(-4)*12/(-54). Let j(c) be the first derivative of -r*c**3 - 1/4*c**4 + 1/10*c**5 + 1/4*c**2 + 1/2*c + 1/12*c**6 - 2. Factor j(s). (s - 1)**2*(s + 1)**3/2 Factor 15*q - 3*q - 5*q**2 + q**2. -4*q*(q - 3) Let u = -4 + 6. Let t(o) be the second derivative of 1/6*o**u - 1/126*o**7 + 0 - 5/18*o**3 - 1/6*o**5 + o + 5/18*o**4 + 1/18*o**6. Factor t(c). -(c - 1)**5/3 Let i(m) be the first derivative of m**4/22 + 2*m**3/33 - 2*m**2/11 - 3. Factor i(l). 2*l*(l - 1)*(l + 2)/11 Let z = -1 + 5. Factor -3*t**3 + 5*t**3 + 2*t**z + t**4 - 3*t**2 - 6*t + 4*t**3. 3*t*(t - 1)*(t + 1)*(t + 2) Let t(a) = 5*a**2 - 24*a + 39. Let g(x) = 10*x**2 - 47*x + 77. Let w(y) = 6*g(y) - 13*t(y). Suppose w(f) = 0. Calculate f. 3 Let y(z) be the first derivative of z**3/3 - z**2/2 - 2*z - 9. Factor y(x). (x - 2)*(x + 1) Let n(m) be the third derivative of -m**5/150 - 3*m**2. Factor n(t). -2*t**2/5 Let f(o) = 2*o**2 - 3*o. Let s be f(2). Find d such that 0 + 0*d + 2/3*d**4 - 4/3*d**3 + 2/3*d**s = 0. 0, 1 Let f(n) be the third derivative of 0*n**3 - 2/5*n**4 + 8*n**2 + 0*n - 1/200*n**6 + 0 + 2/25*n**5. Factor f(y). -3*y*(y - 4)**2/5 Suppose 1/2*q**2 + 0*q - 1/2 = 0. Calculate q. -1, 1 Let m(u) = u**3 + u. Let v(y) = -12*y**3 - 10*y. Suppose 0 = z + 4*z + 10. Let o be (1 - -1)/(z/(-2)). Let j(k) = o*v(k) + 22*m(k). Factor j(x). -2*x*(x - 1)*(x + 1) Let b(u) be the third derivative of u**6/360 - u**5/45 + 5*u**4/72 - u**3/9 + u**2. What is q in b(q) = 0? 1, 2 Let u be (-11)/(-4) - (-6)/24. Let a(s) be the first derivative of -1/6*s**4 - 1/3*s + 2 - 2/3*s**2 - 5/9*s**u. Find b, given that a(b) = 0. -1, -1/2 Let o(s) be the third derivative of s**6/180 - s**5/30 + s**4/12 + s**3/2 + 4*s**2. Let k(h) be the first derivative of o(h). Determine r so that k(r) = 0. 1 Factor 10*z**2 + 5*z**4 - 5*z**3 - 9*z**2 - z**4. z**2*(z - 1)*(4*z - 1) Let r(t) = -t - 6. Let u(w) = 2*w - 2. Let m be u(-3). Let v be r(m). Factor -4 - 10*c - 2*c**3 - 3*c**2 + 0 - 5*c**v. -2*(c + 1)**2*(c + 2) Let s(g) = -g**3 - g**2 + g - 1. Let w(o) = 7*o**3 - o**2 - 7*o + 19. Let y(c) = -18*s(c) - 2*w(c). Factor y(u). 4*(u - 1)*(u + 1)*(u + 5) Suppose 0 = 2*v + 2*v. Suppose -5 + v = -x. Solve -4*b**2 + x*b**4 - 4*b**4 - 2 - 3*b**4 + 8*b**2 = 0. -1, 1 Factor -t**4 + 4*t - 5*t**4 - 4*t**3 + 4*t**4 + 2 + 0*t**4. -2*(t - 1)*(t + 1)**3 Factor 5*i + 0 - 5/2*i**2. -5*i*(i - 2)/2 Factor 3*f**4 - 7*f**2 - 7*f**2 + 11*f**2 - 3*f + 3*f**3. 3*f*(f - 1)*(f + 1)**2 Let y(o) be the first derivative of o**3/3 + o**2/3 - o/3 + 2. Factor y(r). (r + 1)*(3*r - 1)/3 Let t(s) = -4*s**5 - 2*s**2 - 2*s - 2. Let g(y) = 9*y**5 + y**4 + y**3 + 4*y**2 + 5*y + 5. Let q(z) = 2*g(z) + 5*t(z). Solve q(i) = 0 for i. -1, 0, 1 Let l be (-3 - -3)/2*1. Let r be (-16)/(-168)*(-28)/(-6). Factor 2/9*u**2 + 0 - r*u**3 + 2/9*u**4 + l*u. 2*u**2*(u - 1)**2/9 Let b be (-4 - 24/(-6))/(3 + -1). Suppose -1/3*o**3 + 1/3*o**2 + 0*o + b = 0. What is o? 0, 1 Let k(p) be the third derivative of p**6/90 - p**5/45 - p**4/18 + 2*p**3/9 + 5*p**2. Find t, given that k(t) = 0. -1, 1 Let i(x) = -2*x**5 - 2*x**4 - 22*x**3 - 22*x**2 - 6. Let p(q) = q**5 + 3*q**4 + 23*q**3 + 21*q**2 + 5. Let c(t) = 5*i(t) + 6*p(t). Find m, given that c(m) = 0. -1, 0, 4 Let f(t) be the third derivative of t**2 - 1/120*t**5 - 1/720*t**6 - 1/3*t**3 - 1/48*t**4 + 0 + 0*t. Let v(y) be the first derivative of f(y). Factor v(i). -(i + 1)**2/2 Suppose -78 = -12*m - m. Factor -m*u**3 + 9/2*u + 3/2 + 0*u**2. -3*(u - 1)*(2*u + 1)**2/2 Let i(f) = f**4 - f**3 - f**2 - f - 1. Let k(r) = 3*r**5 + 3*r + 3. Let x(z) = 3*i(z) + k(z). Factor x(d). 3*d**2*(d - 1)*(d + 1)**2 Suppose -106*z + 35*z + 213 = 0. What is i in 2/5*i + 8/5 + 6/5*i**4 - 14/5*i**2 - 2/5*i**z = 0? -1, 1, 4/3 Let l = 11 - 9. Let g(b) be the second derivative of -l*b + 0*b**2 + 1/30*b**4 - 1/50*b**5 + 0*b**3 + 0. Factor g(r). -2*r**2*(r - 1)/5 Let f(m) be the first derivative of -m**6/1980 - m**5/330 - m**4/132 - 5*m**3/3 - 5. Let i(l) be the third derivative of f(l). Factor i(t). -2*(t + 1)**2/11 Let q(p) be the first derivative of p**5/80 - p**4/12 + 5*p**3/24 - p**2/4 - 2*p - 3. Let a(l) be the first derivative of q(l). Suppose a(r) = 0. What is r? 1, 2 Let r = -189 + 191. Determine f, given that 9/2 - 6*f + 3/2*f**r = 0. 1, 3 Let j(k) be the third derivative of k**6/480 + 7*k**5/240 + k**4/12 - 2*k**3/3 - 59*k**2. Factor j(g). (g - 1)*(g + 4)**2/4 Let c(d) be the second derivative of -1/15*d**4 + 0 - 1/15*d**3 + 0*d**2 - 1/50*d**5 + 3*d. Factor c(b). -2*b*(b + 1)**2/5 Let v(l) = -l**2 + 2*l + 1. Let u(t) = -t**2 + 3*t + 1. Let a(j) = 2*u(j) - 3*v(j). Solve a(r) = 0. -1, 1 Let c be (1/3)/((-3)/(-36)). Let a(m) = c*m - 3 - 4*m**3 - 2*m**2 + 7 + 1 + 6*m**2. Let u(o) = -o**3 + 1. Let w(z) = -a(z) + 5*u(z). What is h in w(h) = 0? -2, 0 Factor -3*q + 1 + 3*q**2 + 3*q**3 - 3*q**4 - 1 + 0. -3*q*(q - 1)**2*(q + 1) Suppose 34*r - 12 = 30*r. Determine u, given that 2*u + 1/2*u**r + 2*u**2 + 0 = 0. -2, 0 Let t(j) = -j**3 - 6*j**2 - j - 3. Let h be t(-6). What is r in 1/3*r**2 + 0 - 1/3*r**5 - r**h + r**4 + 0*r = 0? 0, 1 Let y = -788 + 790. Factor 0 + 0*j + 0*j**y + 2/5*j**3 - 1/5*j**4. -j**3*(j - 2)/5 Let r(k) = 2*k**3 + 4*k**2 - 2*k - 4. Let b be r(-2). Find m, given that 2/7*m + 0 - 4/7*m**2 + 4/7*m**4 + b*m**3 - 2/7*m**5 = 0. -1, 0, 1 Suppose 5*m + 3*i - 143 + 56 = 0, -1 = m - 4*i. Suppose -m = -9*l + 4*l. Suppose -1/4*j**4 + 0 - 1/2*j**l - 1/4*j**2 + 0*j = 0. Calculate j. -1, 0 Let v(l) = -12*l**3 + 2*l - 10. Let a(u) = 6*u**3 + 1. Let s(z) = -z**3. Let p(m) = a(m) + 5*s(m). Let j(r) = 10*p(r) + v(r). What is d in j(d) = 0? -1, 0, 1 Factor -5 - 7*i + 4*i**2 + 16*i - 7*i**2 - 1. -3*(i - 2)*(i - 1) Let j(z) be the first derivative of 2*z**6/27 - 2*z**5/15 + z**4/18 + 9. Factor j(y). 2*y**3*(y - 1)*(2*y - 1)/9 Let i(v) be the third derivative of -1/3*v**3 + 1/60*v**5 - 1/24*v**4 + 0*v - 4*v**2 + 0. Factor i(n). (n - 2)*(n + 1) Let d(w) be the first derivative of -w**6/600 + w**5/100 - w**4/40 + w**3/3 - 4. Let l(g) be the third derivative of d(g). Suppose l(a) = 0. What is a? 1 Let h(n) be the third derivative of -n**9/37800 + n**8/8400 - n**7/6300 + n**4/6 + 3*n**2. Let c(i) be the second derivative of h(i). Factor c(l). -2*l**2*(l - 1)**2/5 Let j(g) be the second derivative of -1/3*g**3 + 0 + 0*g**2 + 1/5*g**5 + 1/6*g**4 - g. Factor j(h). 2*h*(h + 1)*(2*h - 1) Suppose 4*g - 2*g + 4 = 0. Let b be (10/(-4))/(g - 0). Suppose 0 - 3/4*p**4 - 1/4*p + b*p**3 - p**5 + 3/4*p**2 = 0. Calculate p. -1, 0, 1/4, 1 Let h(x) be the first derivative of 3*x**4/20 - x**3 + 9*x**2/10 + 27*x/5 - 12. Factor h(g). 3*(g - 3)**2*(g + 1)/5 Factor 9/4*n - 1 - 3/2*n**2 + 1/4*n**3. (n - 4)*(n - 1)**2/4 Let h(g) be the first derivative of -g**8/84 - 4*g**7/105 - g**6/30 - g**2 - 2. Let m(o) be the second derivative of h(o). Factor m(l). -4*l**3*(l + 1)**2 Factor 0 + 1/4*v**3 - 1/2*v - 1/4*v**2. v*(v - 2)*(v + 1)/4 Let v(o) be the third derivative of -o**7/210 - 6*o**2. Factor v(p). -p**4 Let o(k) be the second derivative of k**9/68040 + k**8/10080 + k**7/3780 + k**6/3240 - 5*k**4/12 + 6*k. Let p(c) be the third derivative of o(c). Factor p(h). 2*h*(h + 1)**3/9 Let u(n) = -n**2 - 40*n + 200. Let v(j) = 6*j**2 + 200*j - 1000. Let x(g) = 16*u(g) + 3*v(g). Factor x(i). 2*(i - 10)**2 Let t(y) = 5*y**5 + 12*y**4 - 17*y**3 - 17*y**2 + 5*y + 12. Let d(u) = -3*u**5 - 8*u**4 + 11*u**3 + 11*u**2 - 3*u - 8. Let m(z) = -7*d(z) - 5*t(z). Factor m(w). -4*(w - 1)**2*(w + 1)**3 L
{ "pile_set_name": "DM Mathematics" }
4/5) assuming d is positive. d**(288/115) Simplify (c**6*(c/(c**(3/4)*c*c*c))/c*(c**5/c)/(c**(2/13)/c))**(-5) assuming c is positive. c**(-1845/52) Simplify (o/o**(-3/2))**15/((o**(3/2)*o)/((o/o**6)/o)) assuming o is positive. o**29 Simplify ((s**(3/8)*s/(s**(1/7)/s))**(2/27))**(-26/5) assuming s is positive. s**(-325/378) Simplify x**(-9)/(x**(-22/3)/x)*x**12/(x*x*x**(2/7)) assuming x is positive. x**(190/21) Simplify ((d**(25/2))**(1/6))**(5/3) assuming d is positive. d**(125/36) Simplify (((i/(i*i*i/(i/(i/(i*((i*i**(-2))/i*i*i)/i*i))*i))*i)/i)/i)**(2/63)*(i*i*(i*i**(2/9))/i)/i**(11/4) assuming i is positive. i**(-47/84) Simplify ((x**(6/11)*x)/(x/x**(7/5)))/(x**5/x**(7/2)) assuming x is positive. x**(49/110) Simplify (s**(-33)/(s*s**(-1/48)))/(s**(1/2)/s*s/(s**(-11)*s)) assuming s is positive. s**(-2135/48) Simplify f*f**(-1/48)*f**15*(f*f**(-17))/((f*f*f**(4/3)*f)/f) assuming f is positive. f**(-161/48) Simplify (t/t**(-5))**(-32)/(t/((t**13*t)/t)*t/t**(3/4)) assuming t is positive. t**(-721/4) Simplify ((d*d**(-1/4))**36*(d**6/d)/(d/(d*d/d**5*d)))**(1/24) assuming d is positive. d**(29/24) Simplify (b**(-2/21)*b**(-1/3))/(b**(-1/3)/b**(1/16)) assuming b is positive. b**(-11/336) Simplify ((t*t**(-4))/t)**(4/11)/(t/t**14*t/t**9) assuming t is positive. t**(215/11) Simplify (h**3*h**(2/15)*h/(h/(h/(h/(h**(-4/5)/h))))*h**(2/9))**(-2/5) assuming h is positive. h**(-28/45) Simplify (p**6/p*p/p**(-4)*((((p/((p/(p**(2/7)*p))/p*p))/p)/p)/p)/(p*p**(-2/15)*p))**(-1/12) assuming p is positive. p**(-337/630) Simplify (y**(-17/5)/(y/(y/y**(3/10))*y))**(-33) assuming y is positive. y**(1551/10) Simplify (m**(-11)*m**(-2/21))/(m**(2/3))**(4/21) assuming m is positive. m**(-101/9) Simplify q**(-2)/(q/(q**(1/8)/q))*(q/(q*q**(-16)/q*q))/(q**(-3/10)/q) assuming q is positive. q**(537/40) Simplify d**(3/7)/d**(-1/11)*(d**(-1/3)/d)**40 assuming d is positive. d**(-12200/231) Simplify (g**(2/21)*g)/g**3*g**11*g**(-12/7) assuming g is positive. g**(155/21) Simplify (w**4*w)**(2/37)/(w**(3/7)/w**30) assuming w is positive. w**(7729/259) Simplify ((k/k**(1/5))/k*k)**(36/5)*k**(8/7)/k*k*(k**(-3)/k)/k assuming k is positive. k**(333/175) Simplify ((z**(1/3)*z*z/((z/z**6)/z))/(z**(-4)*z*z*z/z**(2/7)))**(-50) assuming z is positive. z**(-10100/21) Simplify (((j**(-2/7)/j)/j)**(1/55))**(2/29) assuming j is positive. j**(-32/11165) Simplify (r**(-1/7)/r)**(5/2)/(r/(r**19*r)*r**19) assuming r is positive. r**(-20/7) Simplify ((((m**(-1/12)*m)/m)/(m/m**(-8)*m))/((m*m/((m**(-5)/m*m)/m)*m)/(m/(m**(2/5)*m))))**(-2/17) assuming m is positive. m**(1169/510) Simplify (n**(-2/7))**(-1/19)/(n/n**(-2/27)*n)**(3/37) assuming n is positive. n**(-6782/44289) Simplify ((k*(k*k**14)/k)**(-9))**(-2) assuming k is positive. k**270 Simplify (q**(-4/3)/q)**(8/5)*(q**0*q)/q*(q/(q/(q*q**(-15)/q)))/q assuming q is positive. q**(-296/15) Simplify (a**(-10)/a*a**(1/2))/(a/(a/a**(-1)*a))**(1/30) assuming a is positive. a**(-313/30) Simplify (b*b**(-2/21)*b)/b*b**12*(b*b**17)/(b**15*b) assuming b is positive. b**(313/21) Simplify (((h/(h**(-1)/h))**31)**(-2/3))**(-5/6) assuming h is positive. h**(155/3) Simplify (((w/w**(-10))/(w*w**8*w))**(-22/7))**30 assuming w is positive. w**(-660/7) Simplify (i**(7/6))**11*i**27/(i/(i/(i/i**23))) assuming i is positive. i**(371/6) Simplify ((q/(q/(q*q**(8/3))))/q*q/(q*q**17))/(((q**(11/3)*q)/q)/q**(4/5)) assuming q is positive. q**(-86/5) Simplify (((l/(l*l**3)*l)**20)**(-2/7))**(-21) assuming l is positive. l**(-240) Simplify (f**33*f*f**(32/3)*f)/((f**(-1)/f)/(f*(f/(f/(f*f*f**34)))/f)) assuming f is positive. f**(251/3) Simplify (u/(u*u*u**(-36))*u*(((u*u*u**(4/5)/u)/u)/u)/u)/((u**22*u)/(u/u**(-1/3))) assuming u is positive. u**(197/15) Simplify (y**(-6)*y)**(1/42)*y**(-19/3)*y/(y*y*y**(-12)) assuming y is positive. y**(191/42) Simplify n**27/(n**27*n)*(n*n/(n*n/(n*n/(n/(n/n**(1/5)*n*n*n)))))/(n**(-1/6)*n) assuming n is positive. n**(89/30) Simplify (h/(h**10/h))**(-7/11)*h**19/(h**(-23)/h) assuming h is positive. h**(529/11) Simplify (l**(-10)*l*l*l*(l**(-20)*l)/l)/(l/((l/(l*l/l**8))/l))**(5/14) assuming l is positive. l**(-353/14) Simplify ((t*t*t/(t*t/t**(-2/33)*t*t*t))/(t/(t**(-2)/t)))/(t**(2/5)/(t*t/(t*t/t**(-6/11))*t)) assuming t is positive. t**(-991/165) Simplify (s/s**(-11/4))/(s*s**(-1)*s*s)*(s**(-1/6))**(-23) assuming s is positive. s**(67/12) Simplify j**(-13)/(j*j**(-23))*j/(j*j*j*j/(j*j/j**(2/7)*j)*j)*j*j**(-1/10) assuming j is positive. j**(603/70) Simplify a**10/(a*a*a**(3/10)*a)*a/a**(-2/7)*a*a/a**(-15)*a assuming a is positive. a**(1819/70) Simplify (((t**(-1)/t)**(-40))**(1/7))**(-2/111) assuming t is positive. t**(-160/777) Simplify ((o/(o*(o/(o*o*o**(-1/6)*o))/o)*o)/((o/(o/o**(2/5)))/o)*o**(4/3)*o*o*(o*o/o**(1/9))/o*o)**(-19) assuming o is positive. o**(-16511/90) Simplify (d**(-7)*d)**(-48)*(d**(-2/5))**(-47) assuming d is positive. d**(1534/5) Simplify (p*p**3/p)**(-45)/(p**(-2)*p**(-9)) assuming p is positive. p**(-124) Simplify ((s*s**7)/s*(s*s**(-1/30)*s)/s)/(s/(s*s**(-9)))**(-46) assuming s is positive. s**(12659/30) Simplify d**(3/4)/(d**15*d)*d**(-1/5)*d**(-7) assuming d is positive. d**(-449/20) Simplify (z**27/(z/z**(-9/2)*z))/(z**(-1/13)/(z*(z/(z/((z/(z*z*z*z**(-6/5)))/z)))/z)) assuming z is positive. z**(2441/130) Simplify (d*d/(d*d*d**(2/11)))**(10/17)*(d*d*d**(-3))/(d/d**9) assuming d is positive. d**(1289/187) Simplify ((z*z*z/(z/(z**(5/6)/z)))/(z/(z*z**(-1/13)))*(z**0)**11)**12 assuming z is positive. z**(274/13) Simplify (((h*(h**(1/10)*h)/h)/h*h*h)/h**(2/33))/((h/((h/(h*h/(h/((h/((h**8/h*h)/h))/h*h))))/h))/h*h/(h*(h**(-3/10)*h)/h)) assuming h is positive. h**(1112/165) Simplify (r**(2/3)*r)**(-18)*r**(-9/5)*r*r**9 assuming r is positive. r**(-109/5) Simplify p**(-4/3)*p**(-12/13)*p**(4/7)/p**29 assuming p is positive. p**(-8377/273) Simplify (q**(2/3))**(14/9)/(q**(1/5)/q)**42 assuming q is positive. q**(4676/135) Simplify (b*b/(b/(b*b**(5/3)*b)))/(b/b**(-1/18)*b)*(((b*b*b*b/b**8*b*b)/b)/b)**(-2/127) assuming b is positive. b**(6113/2286) Simplify (k**(-24))**(-16)/(((k**(-7)/k)/k*k*k)/(k*k**(-1/23))) assuming k is positive. k**(9015/23) Simplify (w**(-3/4)*w)**(-1/2)*(w**1*w)**(-27/4) assuming w is positive. w**(-109/8) Simplify (b/(((b*b*b*b*b**(-6)*b)/b)/b))/b**(-1/2)*b*(b**(-6/7)*b)/b*b*b**(3/2) assuming b is positive. b**(50/7) Simplify (d**(-2))**(2/5)*(d/d**(-2))**(-2/63) assuming d is positive. d**(-94/105) Simplify ((m*m**(-1/3)*m*m)**(1/4)/((((m**(-1/4)/m)/m)/m*m)/m)**(-9))**(-3/13) assuming m is positive. m**(343/52) Simplify (a/(a*a/a**3*a))**(-5/7)/(a**(-6)*a*a/(a/(a*a**(5/2)))) assuming a is positive. a**(11/14) Simplify ((z*z**(-3/28)*z)/z**(-2/33))/(z**23/(z*(((z/z**23)/z)/z)/z)) assuming z is positive. z**(-41623/924) Simplify (n*n*n/n**(-4))**(3/13)/((n*n*n**(-18)/n*n)/(n/n**(-1/9))) assuming n is positive. n**(2191/117) Simplify (l/(l*l**(11/2)))/l*l*l**0*(l**16/l)**(-21/8) assuming l is positive. l**(-359/8) Simplify (x**(-3)/x*x)**(-2)/(x/x**(-1/3)*x*x**(-3/8)) assuming x is positive. x**(97/24) Simplify (g*g**(-3)*g**(1/3)*(g**(-2/11)/g)/(g/(g**(1/13)*g)))**(2/9) assuming g is positive. g**(-2378/3861) Simplify (x**(4/3)/x*x*x)/x*x*x**(-12)/x*x**(4/5)*x**(-3/11) assuming x is positive. x**(-1673/165) Simplify (n*(n**11*n)/n)/(n/((n**(-1/5)/n)/n))*((n/((n/(n/(n*(n**(1/3)*n)/n))*n)/n*n))/n)**14 assuming n is positive. n**(-358/15) Simplify ((d/d**(4/11)*d)/(d*d**(-8)*d))/(d**0/d**(1/2)) assuming d is positive. d**(179/22) Simplify ((f/((f/(f*f**0*f*f*f))/f)*f)**47/(f/f**(1/3))**34)**(-2/31) assuming f is positive. f**(-1556/93) Simplify ((l/l**(-1))/l*l)/l**(-2/31)*(l/l**(15/4))/l*l*l/(l/l**(-9)) assuming l is positive. l**(-1201/124) Simplify (b/(b*b**(-4/13))*b)**(3/8)/(b**(1/56)*b*b*b/(b**(-4/17)*b)) assuming b is positive. b**(-2727/1547) Simplify (m**8*m/(m/(m*m*m**8)))/(m**1/m**(-2/11)) assuming m is positive. m**(185/11) Simplify ((m**(-13)/m**(-1/3))**(-5/2))**42 assuming m is positive. m**1330 Simplify t**(-16)/t*t**(-2/31)*t**(1/7)*t*t**(-12)*t assuming t is positive. t**(-5842/217) Simplify f/f**31*f/(((f/(f/(f*f**21)))/f)/f)*(f**(-3/7))**(16/5) assuming f is positive. f**(-1763/35) Simplify (m**(3/13)/(m*m*m*m**(-11/5)/m*m))/((m/m**4)/m**23) assuming m is positive. m**(1653/65) Si
{ "pile_set_name": "DM Mathematics" }
- 15. 2*m - 30 Collect the terms in 34*a - 62*a - 76*a. -104*a Collect the terms in 11*h - 25*h + 13*h + 11*h. 10*h Collect the terms in 267*p - 803*p + 2*p**3 + 267*p + 269*p. 2*p**3 Collect the terms in -29*i - 20*i - 25*i + 122*i - 33*i. 15*i Collect the terms in -3*m**3 + 910*m**2 - 910*m**2. -3*m**3 Collect the terms in 2145*h - 3*h**3 - 2145*h + 38*h**3. 35*h**3 Collect the terms in 155*g - 73*g**2 - 155*g. -73*g**2 Collect the terms in 123 - 123 + 288*o**2. 288*o**2 Collect the terms in -64*m**2 - 2*m**3 - 2*m + 64*m**2 - m**3. -3*m**3 - 2*m Collect the terms in 233*r - r**2 - 113*r - 120*r. -r**2 Collect the terms in 6*s + s + 24*s. 31*s Collect the terms in -15*k**2 + 30*k**2 - 14*k**2. k**2 Collect the terms in 7*h + 9*h**2 - 6*h - h + 2. 9*h**2 + 2 Collect the terms in 14920*q + 5*q**3 - 14920*q - 3*q**3. 2*q**3 Collect the terms in -8 - 5 + 19*v + 13. 19*v Collect the terms in -29*j**3 - 58*j**3 - 44*j**3. -131*j**3 Collect the terms in 148 - 148 - 171*v**3. -171*v**3 Collect the terms in 76*i - 37*i - 36*i. 3*i Collect the terms in 18*j - 70*j + 26*j + 27*j. j Collect the terms in -2*y**2 + 11*y - 9*y - 2*y. -2*y**2 Collect the terms in a + 3*a**2 - a - 13900 + 13900. 3*a**2 Collect the terms in 3*k**3 + 7223*k**2 - 7223*k**2. 3*k**3 Collect the terms in 1057*y - 4*y**2 - 1057*y. -4*y**2 Collect the terms in -4 - 38*m + 49*m + 4. 11*m Collect the terms in -144*a**3 + a**2 + 153*a**3 - a**2. 9*a**3 Collect the terms in 8*y + 2*y + 10*y. 20*y Collect the terms in -2*j**2 + 24639 - 24639. -2*j**2 Collect the terms in -13*p**3 + 20*p**3 - 6*p**3. p**3 Collect the terms in -48*b**3 - 56*b**3 + 121*b**3. 17*b**3 Collect the terms in -3*x**3 - x - x + 2*x. -3*x**3 Collect the terms in -27*a - 18*a + 67*a - 19*a. 3*a Collect the terms in 3817*o**2 + 53*o**3 - 3817*o**2. 53*o**3 Collect the terms in -8 + 7 + 1 - 650*q**2. -650*q**2 Collect the terms in -14*q + 2*q + 0*q. -12*q Collect the terms in -3*b**2 - 8*b**2 + 4*b**2 - 6*b**2. -13*b**2 Collect the terms in -9*n**2 + 43*n**3 + 2*n**2 + 7*n**2. 43*n**3 Collect the terms in -1642*x**2 - 9*x + 9*x. -1642*x**2 Collect the terms in 375 + 31*k**3 + 25*k**3 - 377. 56*k**3 - 2 Collect the terms in 24*l**3 + 0*l**3 - 7*l**3 - 13*l**3. 4*l**3 Collect the terms in 53*u**3 - 76*u**2 + 40*u**2 + 36*u**2. 53*u**3 Collect the terms in 3 + 23*g**2 + 0 - 3. 23*g**2 Collect the terms in -5924 + 2*v + 5924. 2*v Collect the terms in -1496*q - 3*q**3 + 751*q + 745*q + 4*q**3. q**3 Collect the terms in -49*c + 26*c + 29*c. 6*c Collect the terms in 5734*q**3 - 5733*q**3 + q - q. q**3 Collect the terms in 2*n**3 - 55*n - 54*n + 109*n. 2*n**3 Collect the terms in 16*b - 4*b**2 + 12*b - 28*b. -4*b**2 Collect the terms in 430 - 430 - 7*i**3. -7*i**3 Collect the terms in 8*y - 8*y - 7*y**2. -7*y**2 Collect the terms in 181*q**3 + 185*q**3 - 554*q**3 + 191*q**3. 3*q**3 Collect the terms in 110577 + 5*s**2 - 110577. 5*s**2 Collect the terms in l**2 + 2*l**3 - 5*l**2 + 0*l**2. 2*l**3 - 4*l**2 Collect the terms in -34*d**2 + 4*d**2 + 7*d**2. -23*d**2 Collect the terms in -38 + 38 - 4*p. -4*p Collect the terms in -148*b**2 - 150*b**2 - 157*b**2 - 155*b**2 + 605*b**2. -5*b**2 Collect the terms in -197*b**2 + 218*b**2 + 1 + 1. 21*b**2 + 2 Collect the terms in 10*b**3 - 26*b**3 + 13*b**3 + 6*b**3. 3*b**3 Collect the terms in 51*v**3 - 1 - 3*v + 3*v. 51*v**3 - 1 Collect the terms in -63 + 126 + 4*r**3 - 63. 4*r**3 Collect the terms in 1400 - 6*c - 1400 + c. -5*c Collect the terms in -1265 - 13*y + 1265. -13*y Collect the terms in -86*y + 173*y - 90*y. -3*y Collect the terms in -2*q + 1 + 2*q + 0*q + 8*q**3. 8*q**3 + 1 Collect the terms in z + z + 0*z - 8*z. -6*z Collect the terms in -71*p**2 + 36*p**2 + 35*p**2 + 29*p**3. 29*p**3 Collect the terms in -44*z**2 - 53*z**2 + 107*z**2 - z**3. -z**3 + 10*z**2 Collect the terms in 4*b + 2*b**2 - b**2 - 12*b. b**2 - 8*b Collect the terms in -14*k - 21*k - 23*k + 54*k. -4*k Collect the terms in 10 + 2*j**2 - 10. 2*j**2 Collect the terms in 26*j**2 - 37*j**2 + 13*j**2. 2*j**2 Collect the terms in 10*c**3 - 7 - 35*c**3 + 19*c**3. -6*c**3 - 7 Collect the terms in 105*q - 50*q - 52*q. 3*q Collect the terms in -1 + 1184*b - 1177*b + 1. 7*b Collect the terms in 3 - 10 + 7*z**2 + 3. 7*z**2 - 4 Collect the terms in -75379*b - 20*b**3 + 75379*b. -20*b**3 Collect the terms in -m**2 - 2*m**2 - 2*m**2 + 7*m**3 - m**3. 6*m**3 - 5*m**2 Collect the terms in -23 + 19*a**3 - 20 + 43. 19*a**3 Collect the terms in g - 90*g**3 - g + 92*g**3. 2*g**3 Collect the terms in -t**2 - 15917 + 31840 - 15923. -t**2 Collect the terms in 7*r - 3*r - 7*r + 8*r. 5*r Collect the terms in -z + 6*z - 3*z - z + z. 2*z Collect the terms in 0*s**2 + 524 + 4*s**2 + 531 - 1055. 4*s**2 Collect the terms in -96*l - l**2 + 48*l + 48*l. -l**2 Collect the terms in -437*y**2 - 438*y**2 + 2*y**3 + 875*y**2. 2*y**3 Collect the terms in 10*x**3 + 20*x**3 - 51*x**3. -21*x**3 Collect the terms in 9*w**3 + 7*w - w - 6*w + 3*w**3. 12*w**3 Collect the terms in 163*w**3 - 503*w**3 + 168*w**3 + 174*w**3. 2*w**3 Collect the terms in -4*l + 4*l - 170*l**2. -170*l**2 Collect the terms in -q**2 - 2*q**2 + 3*q**2 + q**2 - 2*q**2. -q**2 Collect the terms in 879*r**2 - 446*r**2 - 430*r**2. 3*r**2 Collect the terms in -2313*p**2 - 2*p + 2*p. -2313*p**2 Collect the terms in -5 + 2*k + 4*k + 5. 6*k Collect the terms in -2 - 1 + 2*s**2 - 2. 2*s**2 - 5 Collect the terms in 128*i - 240*i + 127*i. 15*i Collect the terms in -7*n**2 + 32*n**2 - 3*n**2. 22*n**2 Collect the terms in -27*y**2 - 20*y**2 + 45*y**2. -2*y**2 Collect the terms in -158*n + 470*n - 158*n - 150*n. 4*n Collect the terms in -87*t**3 - 37*t**3 - 94*t**3. -218*t**3 Collect the terms in 3281739*k - 3281739*k + 7*k**2. 7*k**2 Collect the terms in 0*y**2 - 69 - 5*y**2 + 4*y**2. -y**2 - 69 Collect the terms in 35*l**3 + 36*l**3 - 72*l**3. -l**3 Collect the terms in 23*w**3 + 21*w**3 - 39*w**3. 5*w**3 Collect the terms in -39 - 37 + 76 + n. n Collect the terms in -3 - 8 - 1 - 7*b + 15. -7*b + 3 Collect the terms in 33 - 33 + 40*s**3. 40*s**3 Collect the terms in 10*h**2 + 11*h**2 - 6*h**2 + 2*h**2. 17*h**2 Collect the terms in 37*g + 38*g - 117*g + 40*g. -2*g Collect the terms in -434 + 434 + 4*a**2 + a**2 - 2*a**2. 3*a**2 Collect the terms in 9437*c - 4*c**3 - 9437*c. -4*c**3 Collect the terms in 396*s + 176*s**2 - 396*s - 173*s**2. 3*s**2 Collect the terms in -8*t**2 - 4*t**2 + 5*t**2 - 5*t**2. -12*t**2 Collect the terms in -610*y + 1 - 1 - 5*y**2 + 610*y. -5*y**2 Collect the terms in -11 - 24*l**3 + 57*l**3 + 11 - 35*l**3. -2*l**3 Collect the terms in -2*q - 6*q**3 + 2*q + 30 + 0*q. -6*q**3 + 30 Collect the terms in -19*g**3 + 33 - 9 - 24. -19*g**3 Collect the terms in -4097*x**3 + 2049*x**3 + 2041*x**3. -7*x**3 Collect the terms in -2 + 3 + 11*c + 6*c. 17*c + 1 Collect the terms in -37*i**3 + 16*i**3 - 2*i + 2*i. -21*i**3 Collect the terms in -6*z**3 + 3*z**3 - 2*z**2 + 14*z**2. -3*z**3 + 12*z**2 Collect the terms in -3*p - 94*p**3 + 3*p + 97*p**3. 3*p**3 Collect the terms in 4*n - 13132 + 13132. 4*n Collect the terms in 0*t**3 + 7*t**3 + 2*t**3. 9*t**3 Collect the terms in -195*w**2 + 6 - 6 + 194*w**2. -w**2 Collect the terms in -60*z + 23*z + 20*z + 14*z. -3*z Collect the terms in 22*h**2 - 819*h - 19*h**2 + 819*h. 3*h**2 Collect the terms in 517*w - 259*w - 255*w. 3*w Collect the terms in 37*v - 18*v - 14*v - 7*v. -2*v Collect the terms in 341 - 167 + 2*x - 174. 2*x Collect the terms in 0*f**3 + 9*f**3 - 3*f**3. 6*f**3 Collect the terms in z**3 + z**3 - 803*z + 803*z. 2*z**3 Collect the terms in 21*b**2 + 126 - 257 - 23*b**2 + 131. -2*b**2 Collect the terms in -6*l**3 + 4*l**3 - l**3. -3*l**3 Collect the terms in -12*t + t**2 + t**2 + 14*t + 9*t**2. 11*t**2 + 2*t Collect the terms in 11*x**2 - 12*x + 12*x. 11*x**2 Collect the terms in -4*h**2 + 10*h**2 - 3247 - 8*h**2 + 3247. -2*h**2 Collect the terms in -s + 318*s**2 + s - 316*s**2. 2*s**2 Collect the terms in -2*f**2 + 41*f - 41*f. -2*f**2 Collect the terms in 16 - 53*v**2 - 16. -53*v**2 Collect the terms in -891*k - 893*k + 1788*k. 4*k Collect the terms in 7*o**3 + 655 - 332 + 0*o**3 - 323. 7*o**3 Collect the terms in -12*i**3 - 5*i**3 + 34*i**3 - 11*i**3. 6*i**3 Collect the terms in -24*u + 45*u - 22*u. -u Collect the term
{ "pile_set_name": "DM Mathematics" }
f - 1. Let b(s) = -2*j(s) + 7*z(s). What is the second derivative of b(w) wrt w? 200 What is the second derivative of -3 - 1 + 7*a**3 + 4*a**3 + 59*a + 4 - 3*a**2 wrt a? 66*a - 6 Let t(g) = -2912*g**3 + 6*g**2 - 20*g - 9. Let d(n) = 728*n**3 - 2*n**2 + 5*n + 2. Let f(i) = -9*d(i) - 2*t(i). What is the third derivative of f(r) wrt r? -4368 Let u(c) be the third derivative of c**7/210 + 41*c**5/30 + 13*c**4/6 + c**3/6 - 173*c**2. Find the second derivative of u(w) wrt w. 12*w**2 + 164 Let g(k) be the second derivative of 5*k**8/56 - 11*k**6/15 - k**4/12 - 9*k**2/2 - k. Find the third derivative of g(l) wrt l. 600*l**3 - 528*l Let h be (18/(-10))/(27/(-180)). Differentiate -3 - h*c**3 + 2 + 0*c + 0*c with respect to c. -36*c**2 Find the second derivative of -2 + 2 + 2*o**3 - 28*o**4 + 30*o**4 + 20*o + 4*o wrt o. 24*o**2 + 12*o Let w be 20*3/(4 - 1). Suppose -p + 6*p - 5*o + w = 0, 8 = -5*p + 2*o. What is the third derivative of -4*x**2 + 2*x**5 + 3*x**3 + p*x**3 - 3*x**3 wrt x? 120*x**2 Let g(p) be the second derivative of 109*p**8/8 - 167*p**4/12 - p**3/2 - 2*p + 22. Find the third derivative of g(c) wrt c. 91560*c**3 Let p(r) be the second derivative of 47*r**4/12 + 29*r**3 - 14*r. What is the second derivative of p(c) wrt c? 94 Let h(i) be the second derivative of 17*i**5/4 + 183*i**2 + 6*i + 25. Find the first derivative of h(t) wrt t. 255*t**2 What is the derivative of -64*q**2 - 44*q**2 - 1497 + 1567 wrt q? -216*q Let c(z) = z**3 + z**2 + 2*z. Let i(v) = 2*v**4 + 5*v**3 + 5*v**2 + 172*v - 262. Let f(l) = -5*c(l) + i(l). Differentiate f(y) with respect to y. 8*y**3 + 162 Let r(x) = 5*x + 2*x**2 - 12 - 13*x + 6*x + 6*x. Let j(t) = 9*t**2 + 15*t - 48. Let c(l) = 4*j(l) - 15*r(l). What is the derivative of c(z) wrt z? 12*z Let y = -1003 + 1005. Let u(c) be the second derivative of 8*c + 2/3*c**4 + 0 + 0*c**y - 3/2*c**3. What is the second derivative of u(j) wrt j? 16 Let u = 327 + -321. Let l(h) be the first derivative of u*h + 1/2*h**2 + 1. What is the derivative of l(n) wrt n? 1 Let d(h) = -46*h - 205. Let o(m) = 46*m + 204. Let z(u) = -2*d(u) - 3*o(u). Differentiate z(x) wrt x. -46 Suppose 2*k = k + 4*q + 39, -2*q = -2*k + 66. What is the second derivative of 16*y + 10*y**3 + 7*y**3 - k*y**3 wrt y? -84*y What is the derivative of -44*u - u**3 - 31*u + 132 - 25*u wrt u? -3*u**2 - 100 Let w(l) = -6*l + 51. Let z be w(8). What is the third derivative of -73*m**3 - 2*m**4 + 73*m**z - 26*m**2 wrt m? -48*m Suppose -21*b + 10*b + 44 = 0. Find the third derivative of -4*l**4 - 6*l**4 + b*l**4 + 19*l**2 wrt l. -144*l Let c(n) = 23 + 2*n - 48 + 26. Let f be c(3). Find the first derivative of 12 + 2*k - f - 2*k + 7*k**2 wrt k. 14*k Let w(h) be the first derivative of -179*h**3/3 + 205*h + 187. Differentiate w(v) with respect to v. -358*v Let v be (-4)/12*-6*1. Differentiate 17 + 6*w**2 - 18 + w**v - w**2 with respect to w. 12*w Let g(d) be the first derivative of 2*d**6/5 - 4*d**2 - 7*d + 1. Let k(b) be the first derivative of g(b). Differentiate k(m) wrt m. 48*m**3 Let k(c) be the first derivative of -995*c**3/3 - 3*c**2/2 + 2. What is the second derivative of k(a) wrt a? -1990 Let j(y) be the second derivative of 64*y**7/21 - 53*y**3/6 - 2*y**2 - 2*y + 23. Find the second derivative of j(r) wrt r. 2560*r**3 Let o(q) be the second derivative of 61*q**7/42 + 25*q**4/4 - q + 45. Find the third derivative of o(y) wrt y. 3660*y**2 Let f(d) be the first derivative of -47*d**2/2 + 85*d + 50. Differentiate f(b) wrt b. -47 Let s(l) = 97*l**3 + 10*l**2 - 452*l. Let j(c) = 2*c**2 - 2*c. Let u(v) = 5*j(v) - s(v). What is the second derivative of u(a) wrt a? -582*a Let y be 5/(30/(-4)) - 28/(-6). What is the second derivative of 123*d - 5*d**3 + 4 - y - 146*d wrt d? -30*d Suppose 0 = 4*p + z + 2*z - 11, 0 = -3*p - z + 7. Suppose 3*u - 2 = -n, p*u - 4*u = 2*n - 12. Find the second derivative of n*v - 2*v**4 - 5*v**4 + 3*v wrt v. -84*v**2 Let k(c) be the third derivative of -c**7/35 - c**6/120 - 23*c**5/30 + 8*c**2 - 3*c. Find the third derivative of k(o) wrt o. -144*o - 6 Let q = -30 + -2. Let n = q - -34. Find the third derivative of -r**n + 8*r**2 - 11*r**4 + 4*r**2 wrt r. -264*r Differentiate -3*n + 70 - 35*n - 45*n wrt n. -83 Let j(u) be the second derivative of u**6/30 - 11*u**4/3 - u**3/6 + 155*u**2/2 + 270*u - 2. What is the second derivative of j(n) wrt n? 12*n**2 - 88 Let j(w) be the third derivative of -83*w**5/20 + 56*w**3 + 162*w**2. Differentiate j(m) with respect to m. -498*m Let z(q) be the second derivative of 49*q**6/5 - 205*q**2/2 - 357*q. What is the derivative of z(a) wrt a? 1176*a**3 Let p(a) be the third derivative of -a**7/30 - a**6/20 - 25*a**3/6 + 3*a**2. Let i(t) be the first derivative of p(t). Find the third derivative of i(s) wrt s. -168 Let b(y) be the third derivative of -13*y**5/30 + y**4/24 - 61*y**3/6 + 253*y**2 + 2*y. Find the second derivative of b(j) wrt j. -52 Let h(m) = -3*m**3 - 122*m**2 - 123*m + 5. Let d(q) = q**3 + 2*q**2 + q - 1. Let i(u) = 5*d(u) + h(u). What is the second derivative of i(w) wrt w? 12*w - 224 What is the third derivative of -19 + 3*c**3 + 8*c**4 + 289*c**2 - 146*c**2 - 148*c**2 wrt c? 192*c + 18 Let v(c) = c**2 - 9*c - 2. Let t be v(10). Find the third derivative of -d**3 + 7*d**3 - 51*d**2 + t*d**3 + 43*d**2 wrt d. 84 Differentiate -54*b**4 - 5*b**3 - 3*b**3 + 8*b**3 + 336 - b**3 wrt b. -216*b**3 - 3*b**2 Suppose -8 = -3*t - 2*m, t - 2*m - 6 = -m. Let a be ((-18)/(-2))/((26 + 7)/11). What is the derivative of -17 + 7 + a*f**t + 7*f**4 wrt f? 40*f**3 Let x(s) be the first derivative of 7*s**6/10 - 4*s**4/3 - 2*s - 13. Let f(k) be the first derivative of x(k). What is the third derivative of f(c) wrt c? 504*c Let l(p) be the third derivative of 4*p**7/15 - p**6/40 - 71*p**5/15 + 727*p**2. Find the third derivative of l(t) wrt t. 1344*t - 18 What is the second derivative of w - 99 + 146*w**4 + 13*w**2 - 70*w**4 - 67*w**4 wrt w? 108*w**2 + 26 Let w(p) be the first derivative of 31*p**3/3 - 60*p - 65. Differentiate w(s) with respect to s. 62*s Let u(z) = z**3 + 5*z**2 + 6*z - 3. Let y(s) = -s**2 - s + 1. Let b(w) = u(w) + 6*y(w). Let c be b(0). Find the first derivative of 0 - 5 + o**3 + 2*o**c wrt o. 9*o**2 Suppose 28 = -0*o + o - x, 0 = 4*x - 12. Differentiate 25 + 805*n + o*n**2 - 805*n wrt n. 62*n Let a(u) be the third derivative of -u**8/840 - u**5/20 + u**4/8 + 9*u**2. Let t(y) be the second derivative of a(y). What is the derivative of t(w) wrt w? -24*w**2 Let r(x) be the second derivative of -x**4 + 35*x**2/2 + 43*x + 1. What is the derivative of r(i) wrt i? -24*i Let n(u) = -119*u**2 - 42*u - 7. Let z(k) = -60*k**2 - 21*k - 4. Let d(h) = 4*n(h) - 7*z(h). Find the second derivative of d(i) wrt i. -112 Find the second derivative of 5*l + 14*l + 5*l + 482*l**2 - 3 + 48*l + 13*l wrt l. 964 Let q(k) = 526*k**2 + 12*k - 337. Let l(z) = -2629*z**2 - 66*z + 1686. Let j(c) = -2*l(c) - 11*q(c). Differentiate j(h) wrt h. -1056*h Suppose 3*h - 2 = -r + 3*r, -12 = -4*r - 2*h. Differentiate -n**4 + 4 + r*n**4 - 2*n**4 with respect to n. -4*n**3 Let j(g) be the third derivative of 13*g**5/20 - g**4/24 - 11*g**3/2 - g**2 + 31*g. What is the second derivative of j(h) wrt h? 78 Let h be (-40)/(-2) - (7 - 9). Let t = h - 19. Differentiate -8*v**t - 42*v - 11 + 42*v wrt v. -24*v**2 What is the second derivative of -11*z**5 + 199*z + 106*z**5 - 350*z wrt z? 1900*z**3 Let v(j) be the first derivative of 25/2*j**2 + 8/3*j**3 + 15 + 0*j. Find the second derivative of v(h) wrt h. 16 Let b(a) be the third derivative of -6*a**2 - 1/24*a**4 + 0*a**3 + 0 + 0*a - 1/5*a**5. What is the second derivative of b(t) wrt t? -24 What is the second derivative of 55*y + 3*y - 40*y**2 + 201 - y**3 - 201 wrt y? -6*y - 80 Let r be -3*130/36 + 11. Let m(x) be the second derivative of 0 + 2/3*x**3 - r*x**4 + 0*x**2 + x. Find the second derivative of m(p) wrt p. -4 Let m be 9/((0 + 4)/4). Let w(o) = 6*o**2 - 8. Let q(x) = -23*x**2 + 31. Let f(h) = m*w(h) + 2*q(h). What is the first derivative of f(s) wrt s? 16*s What is the second derivative of -o**5 + 10*o**2 + 14*o**5 - 6*o**5 - 5*o**5 - 3 + 3*o**2 + 9*o wrt o? 40*o**3 + 26 Let f(o) = -2*o**3 - 44*o**2 - 6*o. Let b(m) = -3*m**3 - 44*m**2 - 5*m. Let y(h) = 6*b(h) - 5*f(h). Find the third
{ "pile_set_name": "DM Mathematics" }
2 - 123*h**3 + 191*h**3 - 1257 + 631. -2*h**3 - 1218 Collect the terms in 5102470*k - 578*k**2 - 5102470*k. -578*k**2 Collect the terms in 1346 - 3103*o + 1356 - 2702. -3103*o Collect the terms in -3977336314 + 3977336314 + 84*f. 84*f Collect the terms in -5*y**2 + 5*y**2 + 1089579*y**3 + 350496*y**3. 1440075*y**3 Collect the terms in 100*t**3 - 811 - 4*t**3 - 4*t**2 - 1026 + t. 96*t**3 - 4*t**2 + t - 1837 Collect the terms in 25*u**2 + 54*u**2 + 16*u + 2*u**3 - 187*u**2 + 54*u**2 + 54*u**2. 2*u**3 + 16*u Collect the terms in -319*p - 428*p - 1542*p. -2289*p Collect the terms in 0 + 4555*v - 1 + 3*v**2 + 32*v**3 - 2*v**2. 32*v**3 + v**2 + 4555*v - 1 Collect the terms in -37*h**2 - 742*h**3 + 78*h**2 - 1054*h**3 - 41*h**2 + 1802*h**3. 6*h**3 Collect the terms in 313*v**3 + 302*v**3 - 578*v**3 + 198*v**3. 235*v**3 Collect the terms in 21786*s**2 - 5887*s**2 - 10445*s**2. 5454*s**2 Collect the terms in z - 4*z - 6*z - 19*z + 0*z + 19*z - 4*z**2 + 15*z. -4*z**2 + 6*z Collect the terms in 19*x + 5*x + 330 - 1057 - 483. 24*x - 1210 Collect the terms in -3568 - 3568 - 3567 - 160*z + 10701. -160*z - 2 Collect the terms in -788*z**3 + 3816*z - 3817*z + 348*z**3 + 398*z**3. -42*z**3 - z Collect the terms in -3559*q + 21*q**3 + 1803*q - 23*q**3 + 1793*q. -2*q**3 + 37*q Collect the terms in 1065*d**3 + d - 7*d - 1037*d**3 + 6*d. 28*d**3 Collect the terms in -116 + 4*o**2 + 139 + 5*o - o**2 - 28. 3*o**2 + 5*o - 5 Collect the terms in -1614*b**3 + 13191*b**3 + 2911*b**3. 14488*b**3 Collect the terms in -41681*n**2 + 13910*n**2 + 13919*n**2 + 13823*n**2. -29*n**2 Collect the terms in 55697456094*p**2 - 55697456094*p**2 - 2*p**3. -2*p**3 Collect the terms in -195385*y**2 + 94691*y**2 + 100695*y**2. y**2 Collect the terms in 244*h - 572550891 + 572550891. 244*h Collect the terms in 2*j + j**3 - j**3 + 0*j**3 - 2662*j**2 - 21 - 2*j**3. -2*j**3 - 2662*j**2 + 2*j - 21 Collect the terms in 85 - 6*p - 84 + 0 + 2 - 3. -6*p Collect the terms in -9 + 392586*z + 15 - 6. 392586*z Collect the terms in -15143*h + 5045*h + 5065*h + 5028*h. -5*h Collect the terms in -392*o**3 - 797*o**3 + 7*o**2 + 728*o**3 - 7*o**2 - 443*o**3. -904*o**3 Collect the terms in 41*a - 894*a**2 + 2393*a**2 + 7639*a**2 - 41*a. 9138*a**2 Collect the terms in 263776287*o**2 - 131888145*o**2 - 131888140*o**2. 2*o**2 Collect the terms in -28226*t - 16252*t + 176 + 13163*t - 176. -31315*t Collect the terms in -7859*l + 15681*l - 82 - 7817*l. 5*l - 82 Collect the terms in -52797*t + 105593*t - 52795*t + 46. t + 46 Collect the terms in -23*m - 100 - 224 - 92 - 12*m + 416. -35*m Collect the terms in -33725713 + 67451444 - 33725732 + 4*a**3. 4*a**3 - 1 Collect the terms in -5441 - 5598 + 1285*h + 11039 - 1293*h. -8*h Collect the terms in -37*g**2 + 5*g**2 - 5638*g**3 + 32*g**2. -5638*g**3 Collect the terms in 6083*l + 4099*l + 4668*l. 14850*l Collect the terms in -589095*z**3 - 811922*z**3 - 1536774*z**3. -2937791*z**3 Collect the terms in -15452*y**3 - 5795*y + 15454*y**3 + 36677*y. 2*y**3 + 30882*y Collect the terms in -10743 + 5539 + s + 5204. s Collect the terms in 1099*z**2 + 19 - 1561*z**3 - 19 - 358*z**2 + 1562*z**3 - 364*z**2 - 377*z**2. z**3 Collect the terms in 908*y + 193728 - 193728. 908*y Collect the terms in -25*d**2 - 462 + 124 + 170 + 168 + 76*d**2. 51*d**2 Collect the terms in -1926861*q + 1926896*q + 6685*q**3 - 6683*q**3. 2*q**3 + 35*q Collect the terms in 23*q**3 - 16*q**3 - 16*q**3 - 34*q**3 - 15*q**3. -58*q**3 Collect the terms in 7551*i**2 + 12536*i**2 - 5526*i**2. 14561*i**2 Collect the terms in -132593 - j + 5*j + 625156 - 3*j. j + 492563 Collect the terms in 1476*h**3 - 3467*h**3 + 1064*h**3 + 930*h**3. 3*h**3 Collect the terms in -6*b**3 + 13*b**3 - 584 - 16409*b**2 + 16409*b**2. 7*b**3 - 584 Collect the terms in -797*o + 92*o - 492*o + 0*o**2 - o**2 + 0*o**2. -o**2 - 1197*o Collect the terms in 2 + 1 - 393*n**2 - 18*n**2 + 415*n**2 + 1. 4*n**2 + 4 Collect the terms in 9*m**3 - 31449*m + 10423*m + 9*m**3 + m**3 + 10514*m + 10512*m. 19*m**3 Collect the terms in 1208*o + 1834*o - 173*o + 20*o. 2889*o Collect the terms in 150534*l - l**3 - 75239*l - 75226*l. -l**3 + 69*l Collect the terms in -24*u**2 - 6*u**3 + 2*u**3 + u**3 + 63*u**2 + 0*u**3. -3*u**3 + 39*u**2 Collect the terms in -89 + 2*l + 573 - 237 - 81 - 86 - 80. 2*l Collect the terms in 41*z**3 + 60*z**3 - 235*z**3 + 96*z**3 + 36*z**3. -2*z**3 Collect the terms in -67*u**2 + 6 - 4 + 60*u**2 - 1184*u. -7*u**2 - 1184*u + 2 Collect the terms in -2672*u**2 + 2180*u**2 + 10116*u**2. 9624*u**2 Collect the terms in -3*g**3 + 6*g**3 - 331*g + g**3 - 452*g - 2*g**3. 2*g**3 - 783*g Collect the terms in -5329*f + 76*f**2 + 17932*f - 73*f**2. 3*f**2 + 12603*f Collect the terms in 10661*n - 4768*n + 8621*n. 14514*n Collect the terms in -2496*k + 503*k + 500*k + 500*k + 495*k + 499*k - 40. k - 40 Collect the terms in -465189*v - 371791*v + 38043*v. -798937*v Collect the terms in 151*g**2 + 164*g + 1 - 200*g - 132*g + 168*g. 151*g**2 + 1 Collect the terms in -3*z - 5*z - 10*z + 119 + 102 + 26. -18*z + 247 Collect the terms in -62719*v + 31349*v + v**3 + 31347*v. v**3 - 23*v Collect the terms in -30765*f + 4 + 165*f**3 - 161*f**3 - 4. 4*f**3 - 30765*f Collect the terms in 587*y + 464*y - 1502*y + 468*y. 17*y Collect the terms in -2210*d**3 - 150436 + 150436. -2210*d**3 Collect the terms in 1222*i**2 - 573*i**2 - 648*i**2 + 129*i - 96*i + 129*i. i**2 + 162*i Collect the terms in 38696*t**2 - 166693*t**2 - 172296*t**2 + 76935*t**2 - 3*t**3. -3*t**3 - 223358*t**2 Collect the terms in 12*v**2 - 966*v**3 - 6*v**2 + 2299*v**3 - 1359*v**3 - 4*v**2. -26*v**3 + 2*v**2 Collect the terms in 56*k - 23*k + 30*k + 20*k + 38*k. 121*k Collect the terms in -178*f - 183*f - 186*f - 200*f + 937*f - 187*f. 3*f Collect the terms in 384*t**2 - 92*t**2 - 381*t - 290*t**2. 2*t**2 - 381*t Collect the terms in 0 - 3410*j**3 + 0 - 1465*j**3 - 386*j**3. -5261*j**3 Collect the terms in -6 - 10 + 16 - 43748*p**3 - 54268*p**3. -98016*p**3 Collect the terms in -40055 + 40055 - 5619*d + 5636*d. 17*d Collect the terms in -534*u + 4 + 534*u + 17905*u**2 - 4. 17905*u**2 Collect the terms in -76*c**2 + 89*c**2 - 62*c**2 + 18*c**2 - 100*c**2. -131*c**2 Collect the terms in 98999 + 921*l + 925*l + 923*l - 2771*l. -2*l + 98999 Collect the terms in -5511*f**3 - 5527*f**3 + 10342*f**3. -696*f**3 Collect the terms in 25283*p**2 - 2451*p**2 + 13 - 13 + 11534*p**2. 34366*p**2 Collect the terms in 209*s**2 + 0 + 5 - 4 + 4 + 794*s**2. 1003*s**2 + 5 Collect the terms in -15367*s - 15406*s + 46183*s + 155*s**2 - 160*s**2 - 15410*s. -5*s**2 Collect the terms in 8954 + 8957 - 44798 + 23*s + 8962 + 8959 + 8966. 23*s Collect the terms in 1441*s + 10563 - 5275 - 5288. 1441*s Collect the terms in 118432*h**2 + 504679*h**2 + 76842*h**2 + 6 - 6. 699953*h**2 Collect the terms in -42*u**3 - 35*u**3 + 180*u**3 - 37*u**3 - 21*u**3 - 39*u**3. 6*u**3 Collect the terms in -4 - 6 + 7*q - 7 - 9 + 26. 7*q Collect the terms in -2784 + 2*k**2 + 3*k**2 + 3*k**2 - 13*k**2 + 2784. -5*k**2 Collect the terms in -63*r + 76*r + 67*r + 17*r. 97*r Collect the terms in -161*l**2 - 183*l**2 + 91*l**2 + 84*l**2 - 170*l**2. -339*l**2 Collect the terms in 253828177*f - 507656113*f + 253827933*f. -3*f Collect the terms in 131*c**2 - 16*c - 341*c**2 - 253*c**2 + 6*c + 10*c. -463*c**2 Collect the terms in 2*m - 524*m**3 - 2608*m**3 + 16783*m**3 + 3*m. 13651*m**3 + 5*m Collect the terms in -2*a + 1299 - 1070 - 1471. -2*a - 1242 Collect the terms in -2960343*d**3 + 5919756*d**3 - 2959469*d**3. -56*d**3 Collect the terms in 388646498*c**2 - 441 - 444 - 388646497*c**2 + 885. c**2 Collect the terms in 2421*i + 742*i + 156*i. 3319*i Collect the terms in -1454165*i - 1454156*i + 336 + 2908320*i. -i + 336 Collect the terms in -108*v - 105*v + 1 + 214*v - 76*v - 2. -75*v - 1 Collect the terms in -15543*t**3 + 31280*t**3 - 16473*t**3. -736*t**3 Collect the terms in 19 - 8659*o - 6012*o + 2437*o - 3965*o. -16199*o + 19 Collect the terms in 3407*z**2 - 412 - 6803*z**2 + 3381*z**2. -15*z**2 - 412 Collect the terms in -y**2 - 7*y**3 - y**2 + 2*y**2 - 9473*y + 11*y**3 + 9473*y. 4*y**3 Collect the terms in 69*a**3 + 4*a**3 + 115*a**3 + a + 2 + 0. 188*a**3 + a + 2 Collect the terms in -2541477*t**2 + 5083029*t**2 - 2541494*t**2. 58*t**
{ "pile_set_name": "DM Mathematics" }
+ d**2) - 519 + 519 + 5*d**2. 4*d**2 Expand (-1 - 2 + 0 + (1 - 4 + 4)*(-2 - 3 + 4))*(158 - 158 + 136*c). -544*c Expand (-43*k + 4 - 1 + 46*k)*(4*k**2 + 0*k**2 - 3*k**2)*(-k + 3*k + 3*k). 15*k**4 + 15*k**3 Expand 5*s**5 + 2 - 2 + (-s**5 - 2*s**5 + 2*s**5)*(0 - 3 + 4) + 0*s + 0*s - s**5 - 5*s**5 + 6*s**5 - 3*s**5. s**5 Expand 0*c + c - 2*c + 4*c + c - 3*c + c - c + c + (-2 + 4 - 4)*(-2*c + c + 2*c) + c - 3*c + 4*c + 2*c + 6*c - 2*c. 8*c Expand (-3 - 1 + 2 + 1 - 1 - 2 + 3 - 3 + 2 - 2 + 2 + 1 - 3 - 1 + 2 + (-4 + 6 + 0)*(1 + 1 - 1) - 2 + 1 + 0)*(4*s**3 - 52*s**3 - 32*s**3). 160*s**3 Expand (-4*r + 3*r - 3*r)*(1 - 3 - 1)*(7 - 1 + 3). 108*r Expand (-24*b - 15*b + 7*b)*(-4*b**3 - 1 + 1)*(4*b - 2*b - b). 128*b**5 Expand (-1 + 1 + 2)*(p - 1 + 1) + p + p - p + (16 - 2 + 0)*(-4*p - 3*p + 11*p) + 2 + 4*p + 0*p - 2*p. 61*p + 2 Expand (3 - 2 - 4)*(-2*n**3 + 23 - 7*n**3 - 26) + 3*n**3 - n**3 - n**3. 28*n**3 + 9 Expand -5*n + 6*n + 3*n + (-3 + 0 + 4)*(2 - 2 - 2*n) - 2*n + 1 - 1 - 196 + 196 + 75*n. 75*n Expand (-x + 8*x - 8*x)*(-4 + 4 - 1 + (-7 + 2 + 3)*(-1 + 3 + 0) + 1 - 3 + 1) + (-x + 0*x + 3*x)*(3 - 4 - 1). 2*x Expand (3*y**2 - 4*y**2 + 3*y**2 + (5 - 2*y - 5)*(-y - 3 + 3) - 5*y**2 + 5*y**2 - 3*y**2 - 1 + 1 + 6*y**2)*(0 + 4 - 3)*(2 + 0 - 3). -7*y**2 Expand (1 - 1 + 2*k - 1)*(-2 + k + k + 260 + (3*k - 6*k + k)*(2 - 5 + 1)). 12*k**2 + 510*k - 258 Expand (0 - s + 0)*((-2*s + 0 + 0)*(-22 + 4 + 6) + (-5 + 2 + 1)*(4*s - 3*s - 2*s)). -26*s**2 Expand (11780 - o**2 - 11780)*(-3 - o**3 + 4 + 2*o**3 - o**2). -o**5 + o**4 - o**2 Expand (-2*o + 2*o - 2*o)*(3 + 2 - 6)*(3*o - 4*o + 2*o)*(45*o + 134 - 8*o - 136). 74*o**3 - 4*o**2 Expand (2*f - 1 + 1)*(-49 - 48 + 36 - f)*(0 + 3 - 4). 2*f**2 + 122*f Expand (-2*h**4 + 3*h**4 - 2*h + 0*h**4)*(12*h + 6*h - 15*h) + 0*h**5 + 2*h**5 + 0*h**5. 5*h**5 - 6*h**2 Expand (-10*t + 2*t + 2*t)*(-5*t + 2*t + 4*t) + 12 - 12 - 4*t**2. -10*t**2 Expand 3*p - p**3 - 3*p + p**3 + 1 - 1 + (11*p**2 - 14 + 14)*(p - 2*p - p) + (-2*p**2 - 2*p**2 + 3*p**2)*(2*p + p - 5*p). -20*p**3 Expand (-6 + 1 + 2)*(142 - 142 + 82*k). -246*k Expand (-739 + 739 - 6*h)*(2*h + h + h + (3 - 5 + 1)*(-1 - 2*h + 1) + 4*h + 0*h - 5*h). -30*h**2 Expand (-2*u - 2*u + 2*u)*(0 - 5 - 2)*(-4*u + 3*u + 3*u). 28*u**2 Expand (-5*s + 16*s - 2*s)*(4*s**3 + 10*s**3 + s**3). 135*s**4 Expand (-2*v**2 + 3*v - 3*v)*(-14 - 95 + 8*v + 55). -16*v**3 + 108*v**2 Expand (-3*f + 5*f + 0*f)*(4 - 2 - 1) + 3*f + 3*f - 5*f + (-2 - 3 + 3)*(-2*f + 0 + 0) - 32*f + 11*f + 15*f. f Expand (-2*g**3 - g**4 + 2*g**3)*(-2 - 2 + 2) + (4*g**3 - 3*g**3 + 0*g**3)*(-4*g - 9 + 9) - 3*g**4 + 6*g - 6*g - 2*g**3. -5*g**4 - 2*g**3 Expand (-1 - 1 + 1)*(10*p + 43*p - 16*p)*(-4 + 2 + 0)*(0*p - 2*p + p) + (-p + 3*p + 0*p)*(-3*p - p + 3*p). -76*p**2 Expand 0 + 0 - x + (2 + 2 - 2)*(-2*x + 3*x - 3*x) - 20*x + 22*x + 22*x - 2*x + x + 2*x + (0 + 1 - 3)*(-x - 2*x + 4*x) - 4 - 2*x + 4. 16*x Expand (-1 - 2 + 0)*(-12 - 7*d - 3*d + 8*d). 6*d + 36 Expand (-8*g**2 - 2 + 2)*(0 + 0 + 3*g) + 0*g**3 + 4*g**3 - 5*g**3 - 5*g**3 + 4*g**3 + 4*g**3 + 0*g**3 + 0*g**3 + g**3. -21*g**3 Expand 0 + 0 + 2*s**4 + (3*s**2 - s + s)*(-s - s + 8*s)*(2 - 2 - s + (0 - 3 + 2)*(-3 + 3 - 2*s)) - 31*s**4 - 51*s + 51*s. -11*s**4 Expand (-15*u + 42 - 42 + (-1 + 1 + u)*(-3 + 1 + 0))*(-7*u**2 + 5*u**2 + 3*u**2). -17*u**3 Expand (y**2 + 0*y**2 - 3*y**2)*(-38*y + 241*y + 223*y + 150*y). -1152*y**3 Expand -21*u**3 - 21*u**2 + 21*u**2 + (u**3 + u**3 + u**3)*(5 - 2 - 2) + u**3 - 2*u**3 + 0*u**3. -19*u**3 Expand (2 + 2*o**2 - 2)*(0 + 3 - 4)*(-5 + 2 + 2). 2*o**2 Expand (-21*j**3 - 20*j**3 - 78*j**3)*(0 - 1 + 3)*(0*j - 2*j + 5*j). -714*j**4 Expand (0*f**3 - f**3 + 4*f**3)*(-3*f**2 + 3*f**2 - 2*f**2) + (-3*f**4 + 5*f**4 + f**4)*(11 - 11 - 6*f) + 4*f**3 + 2*f**5 - 2*f**3 - 4*f**3. -22*f**5 - 2*f**3 Expand (3 - 5 + 1)*(0*r + 3*r + 0*r)*(-2 + 0 + 3) + 1 - 1 - 4*r + 2*r + 2 - 2 - 3*r - 2*r + 3*r + (-2 - 1 + 2)*(1 - 1 + 2*r) - 311 + 24*r + 311. 15*r Expand (0*w**2 - 2*w**2 + 3*w - 5*w - 1)*((-3 + 3 - 6)*(-w + 0*w + 3*w) + 2*w - 3*w + 0*w). 26*w**3 + 26*w**2 + 13*w Expand 113*u - 9*u - 22*u + (3 - 1 - 1)*(-4 - u + 4). 81*u Expand -2*o**4 + 231*o**4 + 7*o**4 + (-o**2 + 3*o - 3*o)*(-2*o + 2*o - o**2). 237*o**4 Expand 1 - 2*f - 1 + (-3*f - 3 + 3 + (3 + 1 - 3)*(3*f - 2*f + 0*f))*(-4 + 7 + 2) - 6*f + f + f. -16*f Expand (-2*c**3 + 5*c**3 + 0*c**3 + (1 - 2 + 3)*(-5*c**3 + 3*c**3 + 0*c**3))*(-c - 190 + 183 + 7*c). -6*c**4 + 7*c**3 Expand (3*s**2 + s**2 - 2*s**2)*(4*s**2 - 4*s**2 - 3*s**2) - 13*s**4 + 17*s**3 - 17*s**3. -19*s**4 Expand (20 - 16 - 25)*(3*d + 1 - 1). -63*d Expand (81 + 63*n - 122*n + 58*n)*(-4*n + 0*n + n + 2 + (2*n + 2*n - 3*n)*(0 + 5 - 4) - 4*n - n + 6*n). n**2 - 83*n + 162 Expand (3*w**3 + 1 - 1)*(-4 + 1 + 1)*(4 - 3 + 0 + (-20 - 4 + 11)*(6 - 1 - 1)). 306*w**3 Expand -2*p - 3 + 3 + (2 + 0 - 4)*(-3 + 3 + 2*p) - p - 5*p + 0*p + (-p + 5*p + 2*p)*(-3 + 2 + 0). -18*p Expand 1 + o**5 - 1 + (o**3 + 3*o**2 - 3*o**2)*(2 + o**2 - 2) + (2 - 1 + 7)*(-2 + 5 - 5*o + 3*o)*(-o**4 + 2*o - 2*o). 18*o**5 - 24*o**4 Expand (f - f - 2*f**3 + 2*f**3 + 5*f**3 + f**3 + (-5*f**2 - 13*f**2 + 4*f**2)*(-f + 0*f - 2*f))*(f**2 - 2*f**2 - 2*f**2). -144*f**5 Expand (c + 0*c + c)*(-67 - c - c**2 - 61 + 99). -2*c**3 - 2*c**2 - 58*c Expand (-1 - 4 + 6)*(-28207 - 23*a + 28207)*(-a**4 + 0*a + 0*a). 23*a**5 Expand (3*j - 2*j - 14 + 12)*(-3 - 3 + 4) + (-1 - 1 + 0)*(-3*j + 2*j - j). 2*j + 4 Expand -2*a**5 - 2*a**5 + 6*a**5 + (0*a**2 + 0*a**2 + a**3)*(-5*a**2 + 6*a**2 + a**2) + 6*a**5 - a**2 + a**2 + (3 + 1 - 2)*(-11*a**5 + 31*a**5 + 32*a**5). 114*a**5 Expand (-3*k + k - k)*(3 - 4 - 3) + 6*k + 0*k - 4*k + 3*k + 12*k + 5*k. 34*k Expand 222 - 222 + 34*m**4 + (5 - 2 - 1)*(-2*m**4 - m + m) + 34*m**3 + 3*m**2 + 3*m**4 - 20*m**3 - 17*m**3. 33*m**4 - 3*m**3 + 3*m**2 Expand (r - r - 2*r)*(2 + 2*r - 2)*((0*r**2 + 5*r**2 + 4*r**2)*(0*r + 3*r - r) + 2*r**3 - r + r) - 99*r**4 - 24*r**5 + 99*r**4. -104*r**5 Expand (-960 + 514 + 523)*(3 - 3 + 2 + 2*x). 154*x + 154 Expand (0*m**3 + m**3 - 3*m**3)*((3*m + m - 5*m)*(11*m + 6*m - m) + (m - m + 3*m**2)*(2 + 1 - 4) - 5*m**2 - 2*m**2 + 5*m**2). 42*m**5 Expand (-3*q - 3*q + q + (0*q + 3*q - q)*(1 - 2 + 2) + 6*q - 2*q + 3*q)*(0*q**2 + 2*q**2 + 0*q**2). 8*q**3 Expand (-194*y - 216*y - 114 + 114)*(-y - y + 4*y)*(2*y + 3 - 3). -1640*y**3 Expand (-t**2 + 8*t**2 + 0*t**2)*(-1 + 1 + 2) - t + t + 1 - 7*t**2. 7*t**2 + 1 Expand -a**4 - a**4 + a**4 + (-1 - 1 + 0)*(0 - 2*a**4 + 0) + 4*a**4 - 4 + 4 - a**4 + 5*a**4 - 3*a**4 - 6 + 6 - 3*a**4. 5*a**4 Expand (11*i**2 + 3*i**2 - 20*i**2)*(-2*i**3 - 1 + 2 + 0*i**3). 12*i**5 - 6*i**2 Expand (4 - 4 + s**4)*(-3*s + 0*s - 5*s) - 3*s**5 + 13*s**5 - 6*s**5. -4*s**5 Expand (-2*t**2 + t**2 - t**2)*(2 - 3 - 1) - 5*t**2 + t**2 + 2*t**2 + 14*t**2 - 77*t**2 + 3*t**2. -58*t**2 Expand 3*s**5 + s**5 - 7*s**5 + 3*s**4 - 3*s**4 + 3*s**5 + (0*s**2 + s**3 + 0*s**2)*(-s + s + 2*s**2) + 1 - 1 + 2*s**5 + (s - 3*s + 5*s)*(2*s**4 + 1 - 1). 10*s**5 Expand (-2*l - 3*l - l)*(-4*l**3 - 100*l + 2*l**2 + 2*l**4 + 100*l). -12*l**5 + 24*l**4 - 12*l**3 Expand -2*a**2 + 5*a + a**2 - 2*a + (a - 1 + 1)*(-12*a + 21*a - 54*a). -46*a**2 + 3*a Expand -3*b**3 + b**3 - b**3 + (-7*b**3 + 8*b**3 + b**3)*(1 - 1 - 4). -11*b**3 Expand -883*p**2 - 24*p**3 + 883*p**2 + (0*p**2 + 4*p**2 - 3*p**2)*(p + 1 - 1) + 2*p**3 + 5*p**3 - 5*p**3. -21*p**3 Expand (4*o**3 - 2 + 2)*(203 - 192 + 2*o - o). 4*o**4 + 44*o**3 Expand (-2*u + 8 - 8)*(-2*u**2 - 38*u**2 + 4*u**2)*(-2*u**2 - 3*u + 3*u). -144*u**5 Expand -f + 2*f + f - f + 1 - 1 + (4*f + 0*f - 2*f)*(-1 + 0 + 2) + 0*f - 4*f + 5*f + 5 - 2 - 695*f + 569*f. -122*f + 3 Expand (-7 - 2 - 8)*(8 + 1 + 5)*(2*p + 3 - 3). -476*p Expand (2*c - c + 2*c)*(-5 + 5 - c) + (-c + 4*c + 0*c)*(c + 6*c - 5*c) + 2*c**2 + 4*c - 4*c + (3 - 2 - 3)*(5*c**2 + 2*c**2 - 5*c**2) + c**2 - c**2 + 3*c**2. 4*c**2 Expand -2*f**2 + f**2 - 3*f**2 + (12*f - 2*f + 5*f)*(3*f - 3*f + 2*f). 26*f**2 Expand b + 2*b - b + (1 - 2 + 3)*(-2*b + 1 - 1) - 5 - 2*b + 5 + 2122*b - 6363*b + 2129*b + 2131*b - 5. 15*b - 5 Expand (-2*b + b - 7*b)*(-3 + 2 + 4 + (-2 - 2 + 1)*(-4 + 0 + 1)). -96*b Expand (0*b**3 - b**3 + 4*b**3)*(-2*b**2 + b**2 + 3*b**2 + (-b + 0*b + 3*b)*(b - 3*b + 0*b) + 7*b - 13*b**2 - 7*b + b**2 - b**2 + b**2). -42*b**5 Expand (5*v**2 + 10*v**2 - 5*v**2)*(v + 12*v + 2*v + 12*v). 270*v**3 Expand (0
{ "pile_set_name": "DM Mathematics" }
= 4*x - 1. Let l(u) = -6*d(u) - 2*g(u). Let o(z) = -8*z + 8. Let c(h) = 9*l(h) - 2*o(h). Differentiate c(n) wrt n. -2 Find the third derivative of 76 + 20*x**3 + 17*x**2 - 76 wrt x. 120 Let c(w) be the second derivative of -5*w**4/12 - w**3 + 5*w. Find the second derivative of c(u) wrt u. -10 Let m be (5/4)/((-2)/(-8)). Suppose -4*f = w + 11, -5*w = 3*f - m*f - 33. What is the second derivative of -7*t**4 - 2*t**w + 7*t**4 + t wrt t? -40*t**3 Let n be (-4)/2 + 3 - (-1 - -2). Let x(b) be the second derivative of 1/6*b**3 + 1/2*b**2 + n + 2*b. What is the derivative of x(i) wrt i? 1 Let r be -1*(2 - 0) - -7. What is the third derivative of -r*j**2 - j**6 - 20*j**5 + 20*j**5 wrt j? -120*j**3 Find the third derivative of -19*h**4 - 6*h**4 - 19*h**2 - 2*h**2 wrt h. -600*h Let w(r) be the first derivative of 10*r**3/3 + 7*r**2/2 - 4. What is the second derivative of w(g) wrt g? 20 Let l(o) = 11*o**2 - 14. Let q(p) = -p**2 - 1. Let g(i) = -l(i) + 5*q(i). Find the first derivative of g(h) wrt h. -32*h Let v(c) = -c**3 + 7*c**2 + 2. Let k be v(7). Differentiate 2*a + k*a + 3 - 5 with respect to a. 4 Let r(d) = d**3 + d**2 - d + 3. Let j be r(0). Find the second derivative of 0*c**3 + 3*c**5 + 2*c**3 - 2*c - 2*c**j wrt c. 60*c**3 Let p be (-3)/(-9) - (-59)/3. What is the second derivative of -36 - 3*r + 16 + p - 8*r**2 wrt r? -16 Let s(a) = -5*a**5 + 2*a**4 + 2*a**3 - 5*a**2 + 2. Let b(m) = m**4 + m**3 + m**2 + 1. Let v(c) = 6*b(c) - 3*s(c). Find the third derivative of v(h) wrt h. 900*h**2 Let g(r) = -4*r**5 - 3*r**4 + 3*r**3 - 3. Let x(u) = 3*u**5 + 4*u**4 - 4*u**3 + u + 4. Let q(j) = -4*g(j) - 3*x(j). What is the second derivative of q(f) wrt f? 140*f**3 Suppose -3*q + 6 = -0. Suppose -q - 1 = -d. Find the first derivative of 0*r**2 + r**d + 0*r**2 + 3 wrt r. 3*r**2 Suppose 2*g = -0*g + h + 13, 0 = -2*g + 2*h + 16. What is the third derivative of -2*p**5 - 2*p**g - 2*p + 2*p + 4*p**2 wrt p? -240*p**2 What is the second derivative of 5*q + 17*q**2 - 3*q**2 - q wrt q? 28 Let h(d) be the second derivative of -d**7/840 - d**6/180 - d**3/3 - 2*d. Let x(n) be the second derivative of h(n). Find the third derivative of x(j) wrt j. -6 Let n(r) be the second derivative of -2*r**7/7 + 3*r**3/2 - 13*r. What is the second derivative of n(j) wrt j? -240*j**3 Suppose 0 = -5*z + 5*d + 5, -2*z + 3*d - 8 = -d. Find the first derivative of 53*r**2 - 53*r**2 + 7*r**3 + z wrt r. 21*r**2 Let v(i) = -2*i**2 - 16*i - 5. Let j(x) = -2*x**2 - 17*x - 6. Let l(d) = -5*j(d) + 6*v(d). What is the second derivative of l(m) wrt m? -4 Let u(l) be the third derivative of -4*l**7/35 + 3*l**5/5 + 27*l**2. What is the third derivative of u(d) wrt d? -576*d Let h(b) = -4*b - 3. Let w(o) = -o**2 - o + 1. Let x(p) = h(p) + w(p). Let g be x(-4). What is the third derivative of 6*n - 6*n + 2*n**5 - n**g wrt n? 120*n**2 Let s(h) = -9*h**4 - 5*h**2 + h + 5. Let y = -8 + 6. Let o(f) = -4*f**4 - 2*f**2 + f + 2. Let j(z) = y*s(z) + 5*o(z). Find the second derivative of j(r) wrt r. -24*r**2 Let y be 98/28 + 1/2. What is the third derivative of -5*w**2 + 5*w**5 - 5*w**4 + 0*w**y + 5*w**4 wrt w? 300*w**2 Let l be ((-3)/4)/(1/(-4)). What is the derivative of v**4 + 0*v**3 + 4*v**4 + 5 + 0*v**l wrt v? 20*v**3 Let z(k) be the second derivative of 0*k**6 + 0 + 5/12*k**4 + 0*k**3 + 0*k**2 + 2/21*k**7 + 0*k**5 - 6*k. What is the third derivative of z(u) wrt u? 240*u**2 Let n = 5 + -3. What is the derivative of 3 - 2*m - n + 0 wrt m? -2 Let g(s) be the second derivative of 7*s**4/6 + 3*s**3 + 23*s. What is the second derivative of g(c) wrt c? 28 Suppose -5*u - 13 = -r, 3*r - 3*u = r + 12. Let g = r + -1. Differentiate -2 + 0 + g*v**4 + 0*v**4 with respect to v. 8*v**3 Find the third derivative of -6*u**2 - 34*u**3 + 15*u**3 - 2*u - 22*u**2 wrt u. -114 Let g = -55 + 58. Let z(h) be the second derivative of h + 1/4*h**4 + 0*h**2 + 0 - 2/3*h**g. Find the second derivative of z(a) wrt a. 6 Suppose -b + 5*v + 27 = -0*b, -2*v - 18 = -4*b. Let p(q) be the second derivative of 0 + q - 1/6*q**3 - q**b. What is the first derivative of p(r) wrt r? -1 Let c(j) be the first derivative of 4*j**2 + 18*j - 13. Differentiate c(a) wrt a. 8 Suppose g + 2*z + 6 = -0*g, 2*g - 3*z - 23 = 0. Let s(i) be the second derivative of 0*i**3 + 0 + 2*i + 1/6*i**g - 1/2*i**2. Differentiate s(b) wrt b. 4*b Let n(c) be the second derivative of -c**7/7 - 5*c**4/12 - 3*c. What is the third derivative of n(a) wrt a? -360*a**2 Let h(a) = -a**4 - a**3 + a. Let l(s) = 57*s**4 + 3*s**3 - 3*s - 33. Let w(r) = 3*h(r) + l(r). Differentiate w(x) with respect to x. 216*x**3 Let l(y) be the second derivative of -y**9/126 + y**5/20 + y**2/2 - y. Let o(d) be the first derivative of l(d). What is the third derivative of o(g) wrt g? -480*g**3 Let g(a) = -12*a**3 + a**2 - 7*a + 7. Let c(y) = -6*y**3 + y**2 - 3*y + 3. Let v(p) = 7*c(p) - 3*g(p). Find the third derivative of v(h) wrt h. -36 Let z(c) be the third derivative of -3*c**2 + 1/105*c**7 + 0 + 1/3*c**3 + 0*c**6 + 0*c**5 + 0*c**4 + 0*c. Differentiate z(p) with respect to p. 8*p**3 Let t = -19 + 18. Let d(q) = 3 + 1 - 6. Let v(g) = -g. Let n(w) = t*d(w) - 2*v(w). Find the first derivative of n(j) wrt j. 2 Let d be -2*(-1 - (-2 + 0)). Let s be d/(-3) + 50/6. What is the third derivative of s - o**5 + 3*o**2 - 9 wrt o? -60*o**2 Suppose d - 2*j + j = 7, -5*d - 3*j = -3. What is the third derivative of 4*b**2 + 2*b**3 - 2*b**d + 0*b**3 - 4*b**4 wrt b? -96*b Suppose -3*o + 2 - 14 = 0. Let d = 2 - o. Find the third derivative of i**6 + i**2 - i**6 + 2*i**d wrt i. 240*i**3 Let g(h) = 14*h**4 - 6. Let n = 25 + -8. Let r(j) = 41*j**4 - 18. Let t(s) = n*g(s) - 6*r(s). What is the first derivative of t(d) wrt d? -32*d**3 Let h(r) = -4*r**2 + 5*r - 16. Let y(c) = 5*c**2 - 5*c + 18. Let l(b) = -2*h(b) - 3*y(b). Find the first derivative of l(q) wrt q. -14*q + 5 Find the third derivative of -7*q**5 + 16*q**2 - 2*q**5 - 9*q**5 wrt q. -1080*q**2 Let c be 40/24 - (-2)/6. Let w(q) be the second derivative of q**2 + 1/3*q**3 + c*q + 0. Differentiate w(y) wrt y. 2 Let j(l) = -l**2 - 2*l. Let z be j(-2). What is the third derivative of 3*u**4 - 3*u**2 + z*u**2 + u**2 wrt u? 72*u Let i(p) = 4*p + 12. Let z(u) = 2*u + 3 + 2*u + 14 - 6. Let d(x) = -6*i(x) + 7*z(x). Differentiate d(c) with respect to c. 4 Let k(g) be the third derivative of g**9/504 - g**6/90 + 7*g**3/6 + 2*g**2. Let m(i) be the first derivative of k(i). Find the third derivative of m(x) wrt x. 360*x**2 Let h(n) = n**4 - 1. Let l(w) = -12*w**4 - 10*w**2 + 4. Let z(m) = -4*h(m) - l(m). What is the third derivative of z(f) wrt f? 192*f Let m(l) be the first derivative of -13*l**6/6 - 5*l**3/3 - 11. Find the third derivative of m(v) wrt v. -780*v**2 Let k be (-30)/4*(-12)/15. Find the second derivative of -r + k*r + r + r - 3*r**2 wrt r. -6 Let i(f) = -f**3 + 6*f**2 + 7*f + 3. Let p be i(7). Let r(b) = -b**3 - 8*b**2 - 7*b + 3. Let k be r(-7). Differentiate -2*y**2 - p*y**2 + k*y**2 + 1 wrt y. -4*y Let x be (-1)/3*(-4)/8. Let q(c) be the second derivative of x*c**4 + 2*c + 1/6*c**3 + 0 + 0*c**2. Find the second derivative of q(g) wrt g. 4 Let o(f) be the second derivative of -f**7/168 - f**6/120 - f**3/6 + 5*f. Let h(p) be the second derivative of o(p). Find the third derivative of h(n) wrt n. -30 Suppose -y + 3 = 1. Find the third derivative of 0*h**5 + 6*h**2 - 7*h**2 - y*h**5 wrt h. -120*h**2 Let s(u) be the second derivative of -17*u**6/30 - 13*u**4/12 + 8*u. What is the third derivative of s(l) wrt l? -408*l Let j(s) be the first derivative of s**6/3 + 3*s**3 - 4. What is the third derivative of j(a) wrt a? 120*a**2 Let y(z) = -z**2 + 5*z + 8. Let p be y(6). Find the second derivative of 4*v**2 + v**3 - 4*v**p - 3*v wrt v. 6*v What is the third derivative of 5*x**6 + 5*x**2 - 7*x**6 - 11*x**6 - 12*x**6 wrt x? -3000*x**3 Let w(l) be the second derivative of -3*l + l**2 + 0*l**3 + 3/20*l**5 + 0 + 0*l**4. Differentiate w(s) wrt s. 9*s**2 Let n(k) = 27*k**4 - 6*k**2 - 17*k + 6. Let s(c) = c**4 - c**2 - c + 1. Let i(h) = n(h) - 6*s(h). Find the second derivative of i(y) wrt y. 252*y**2 Find the first derivative of 5*j**2 - 30 + 32 - 20 + 9*j**2 wrt j. 28*j Let y(l) be the second derivative of 6*l**3 + 3*l**2 - 17*l. Differentiate y(p) with respect to p. 36
{ "pile_set_name": "DM Mathematics" }
d (-t + 0*t - 2*t)*(-2*t**2 - t**2 + 4*t**2) + (-4 - 4 + 5)*(t**3 + 2*t**3 - t**3) + 2*t**3 - 12*t**3 - 9*t**3 + t**2. -28*t**3 + t**2 Expand ((3 + 3 - 4)*(2 + 2*q - 2) + (-6*q + 4*q - q)*(2 - 1 - 15))*(-3 + 1 + 1). -46*q Expand 3*d**5 - 5*d**5 + 0*d**5 - 9*d**4 + 9*d**4 - 25*d**5 + (1 + 0 + 2)*(4*d**5 - d**5 - 2*d**5). -24*d**5 Expand -a - 6*a + 2*a + (a + 10*a + 3*a)*(0 - 3 - 1). -61*a Expand (-d**3 + 4*d**3 - d**3)*(2*d**2 + 3*d**2 - 3*d**2) - 3*d**5 - 4*d**5 + 5*d**5 + 13932 - 154*d**5 - 13932. -152*d**5 Expand (-l**2 + 4 - 4)*(0*l**3 + 0*l**3 - 4*l**3) - 24*l**3 - 3*l**5 + 24*l**3. l**5 Expand (0 - 2 + 1)*(-3 + 0 - 1)*(-5*k + 8*k + 20*k). 92*k Expand (-3 - 2 + 1)*(-162*x**3 + 42*x**2 + 17*x**3 - 43*x**2). 580*x**3 + 4*x**2 Expand (-4*q + 4*q - 2*q**3)*(-5 + 4 + 0) + q**3 - 2*q**3 + 5*q**3. 6*q**3 Expand (182 + 241 - 203)*(0 + 0 - 1)*(-1 + 1 + 3*j). -660*j Expand (-1 + 0 - 1)*(-2*j + 4*j - j). -2*j Expand (71 - 151*j - 153*j + 306*j)*(-2*j + 1 - 1) + (-2*j + 0*j + j)*(-3*j + 6*j - j). -6*j**2 - 142*j Expand (-3*a + 3*a - 2*a)*(-a - 3 + 3) - 2*a**2 + 4*a**2 - 19*a**2 - 3*a**2 - 1 + 11*a**2 - 10*a**2 + (4*a**2 + 2*a**2 - a**2)*(4 - 1 - 5). -27*a**2 - 1 Expand (-3*o**4 + 12 - 12)*(-4*o + 16 - 16) + (-2*o**3 + o**5 + 2*o**3)*(-1 + 2 + 0). 13*o**5 Expand (2*l**3 - 3*l**3 - l**3)*(-l + l + l) - 4743*l**3 - 4 + 4743*l**3 - l**4. -3*l**4 - 4 Expand ((3*r - r - 3*r)*(-7 - 2 + 2) + r - r - 14*r)*(1 - 2*r - 1). 14*r**2 Expand (-36 + 57 - 39)*(4*f + 3*f - f). -108*f Expand (3*o - o - o)*(-1246 - 33*o + 1246) + (o + 3 - 3)*(-2*o + o - o) + 3 - 3 - 2*o**2. -37*o**2 Expand (-5*z + 4*z - 4 + 3*z)*(0 + 1 + 1)*(-z + 3*z - 4*z)*(0 + 5 + 12). -136*z**2 + 272*z Expand -154*k - 37*k**2 + 154*k + (1 + 7 - 1)*(-1 + k + 1)*(k - 2*k + 3*k). -23*k**2 Expand (2*o - 2*o + 2*o**2 + (3 - 4*o**2 + 0*o**2 - 4)*(-1 - 2 + 0))*(2 + 3 - 3). 28*o**2 + 6 Expand (-2*n - 2*n**2 + 2*n)*(5*n**3 - 32*n**3 + 8*n**3) - 10*n**5 + 2*n**5 + n**5. 31*n**5 Expand 3*b**4 - b**4 + 3*b**5 - 5*b**5 + (4 - 4 - b)*(-23*b + 23*b - b**4). -b**5 + 2*b**4 Expand (-45 - 67 - 26)*(3*s - 3*s - 2*s). 276*s Expand (-7 - 4 - 151)*(4 + 1 - 4)*(-4*s + 3*s + 2*s). -162*s Expand -3*h + 0*h**2 - 2*h**2 - h + 3 - 3 + 2*h**2 + (-4*h + 5*h - 2*h)*(2*h + 0*h - h) + h**2 + 2*h**2 - h**2 + (h + h - 3*h)*(0 + 0 - 4*h). 5*h**2 - 4*h Expand -19*z**2 - 37 + 37 + (-1 + 4 - 2)*(-2*z**2 + 0*z**2 + 3*z**2) + 2*z**2 + 12 - 12. -16*z**2 Expand (c**3 + 0*c**3 + c**3 + (0*c**3 - c**3 - c**3)*(-1 + 0 + 5))*(-13 - 4 + 29). -72*c**3 Expand 2 - 3*f - 2 + (2*f + 0*f + 0*f)*(0 - 2 + 4) + (-2 + f + 2)*(-29 + 13 + 23). 8*f Expand 4*b + b + 0*b + (1 - 1 - 1)*(8*b - 5*b + 8*b). -6*b Expand -99*t + 55*t + 48*t - 8*t + t + t + (2 - 3 + 3)*(-4*t + 2*t + t). -4*t Expand (-7 + 7 + 3*l**2)*(2*l**2 + 2*l**2 + 0*l**2)*(825 - 34*l - 825). -408*l**5 Expand (i**3 - i**3 - 2*i**4)*(2 - 4 + 4) + 0*i**3 + i**4 + 0*i**3 - 50*i**4 + 56*i**4 + i**3 + 2*i**3. 3*i**4 + 3*i**3 Expand (5*z - 12*z - 30*z)*(-29*z**2 - 28*z**2 + 8*z**2). 1813*z**3 Expand (-9 - 5*b**2 + 9)*(-13 + 1 - 5)*(-4 + 2 + 1). -85*b**2 Expand (4 - 4 + 1 + (3 + 0 - 2)*(2 - 2 + 2) + (-4 + 2 + 0)*(-3 + 2 + 0))*(-7*l**4 + l**2 - l**2) + 360*l**3 + 6*l**4 - 360*l**3. -29*l**4 Expand (1 + 1 + 3)*(3 - 5 + 4)*(-2*f + 3*f + 3*f). 40*f Expand (-15*p + 25*p - 8*p - 78)*(-2*p + p + 0*p). -2*p**2 + 78*p Expand (-1 + 3 - 3)*(9 - 14 - 12)*(4*v**2 - v**2 - 5*v**2 + (2*v - 2*v - 2*v)*(0*v + 4*v - 3*v)). -68*v**2 Expand (0 - 1 - 1)*(3*z - z + 0*z) - z + z - 2*z - 1400*z - 42 + 1640*z + 42 + 4125*z. 4359*z Expand (0 + 9 - 1)*(0 + 3 + 0)*(2*r**3 + 3 - r**3 - 1). 24*r**3 + 48 Expand (0*w + 2*w - 3*w)*(8 - 15 + 4). 3*w Expand (0 + 0 - 1)*(-l + 5*l - 2*l) - 4 + 1 + 7*l - 10*l. -5*l - 3 Expand (2*x + x**3 - 2*x)*(-384*x + 171*x + 183*x). -30*x**4 Expand (-2*b + 0*b + 0*b)*(2*b**2 + 4*b - 3*b**2 - 3*b)*((0*b + 2*b - 4*b)*(-1 - 1 + 4) + 2*b - 3*b - 3*b - b + 1 - 1). -18*b**4 + 18*b**3 Expand (-p + 3*p - 4*p)*(2 + 1 - 2 + (357 - 119 + 147)*(5 - 3 + 0))*(-2 + 4 - 1). -1542*p Expand (-6*o - 4*o**2 + 6*o)*(2 + 0 - 4)*(18*o - 16*o + 8 + 4) - 2*o**3 + 4*o**3 + 6*o**3. 24*o**3 + 96*o**2 Expand (4 + 0 - 1 + (0 + 3 - 2)*(-8 + 10 + 1))*(4 + w - 4 + (0*w + 2*w - w)*(0 - 4 + 2)). -6*w Expand (-4367 + 2223 + 2232)*(-4 + 0 + 3)*(2*y**5 + 0*y**5 + 0*y**5). -176*y**5 Expand (-26 + 26 - 49*n + (1 + 2*n - 1)*(5 - 2 - 4))*(-6*n + 6*n + 4*n). -204*n**2 Expand (-100*i**2 - 212*i**2 - 156*i**2)*(i**3 + 0*i**2 + 0*i**2). -468*i**5 Expand (2 - 6 + 1)*(-3 - 1 + 2)*(n + 4 - 4)*(-2*n**3 - n**3 + 5*n**3). 12*n**4 Expand ((-3*s - 2*s - s)*(0 - 1 - 1) - 1 + 1 - s + (-3*s + 4*s - 3*s)*(-1 - 3 + 2))*(-3*s + 3*s**2 + 3*s). 45*s**3 Expand (4*r - 59*r + 9*r)*(-2*r**2 + 4*r**2 - 3*r**2). 46*r**3 Expand 3*o**2 + 49*o - 49*o + 13 + (0 + 0 - o)*(3*o - o - o). 2*o**2 + 13 Expand (-8*m + 7*m + 39*m)*(2*m**2 - 4*m**2 + 4*m**2)*(-3*m - m**2 + 3*m) + 2*m**5 + m**2 - m**2. -74*m**5 Expand s**3 + 5*s**3 - s**3 + (-2 + 2 - 2*s)*(0 + 0 + s**2) + 12*s**3 + 7*s**3 - 14*s**3. 8*s**3 Expand -4*n + n + 2*n + (-5 + 5 - 2*n)*(-5 + 2 + 2) + (3 - 2 + 2)*(2*n + 3*n - 8*n) - 12*n + 5*n + 9*n + (-n - n + n)*(-3 - 3 + 3) + 3*n - 2*n - 2*n. -4*n Expand (-3 + 3 - 1)*(-2*n - n + n) + (-n + 0*n + 2*n)*(-4 - 2 + 5) + 3*n + 0 + 0 - 5*n - 7*n - 10*n. -18*n Expand (-2*c**4 - c**4 + 5*c**4)*(-1180*c + 0 + 0 + 1547*c). 734*c**5 Expand (0*g - 4*g + 5*g)*(-7 + 3 + 1)*(-33 - 3*g + 33). 9*g**2 Expand (2*p + p - 6*p + (-2*p + 0 + 0)*(0 - 3 + 1) + 13*p + 7 - 7)*(4*p**2 - 2*p**2 - 4*p**2)*(-6*p + p - p + (-2*p + 0*p + 3*p)*(-1 - 1 + 0) + 0*p + 2*p - p). 196*p**4 Expand (2*o + 44*o + o)*(0*o**2 + 4*o**2 - 2*o**2)*(1 + 5 - 4 + (3 + 0 - 1)*(-1 + 4 - 1) - 1 + 3 - 3 - 4 - 1 + 3). 282*o**3 Expand (0*k**2 + 4*k**4 + k**2 - 2*k**4)*(k - 7*k - 15*k + (2 + 1 - 1)*(-26 + 17*k + 26)). 26*k**5 + 13*k**3 Expand (250*n + 82 - 499*n + 250*n)*(-2 + 1 + 0*n + 2*n). 2*n**2 + 163*n - 82 Expand (-2 + 2 + m)*(m**4 + 0*m**3 + 0*m**3) + m + m**5 - m + (3 - 1 + 6)*(3*m**3 - m**3 - 4*m**3)*(-4*m**2 + 5*m**2 + 0*m**2). -14*m**5 Expand -15*s**3 - 52*s**3 + 38*s**3 - s**3 - s + s + s**2 - 2*s**3 - s**2 + (1 - 4 + 2)*(-2*s**3 - 3*s**3 + 7*s**3). -34*s**3 Expand ((2*q**2 - 3*q**2 + 0*q**2)*(2*q - 2*q + q) + 4*q**2 - q**3 - 4*q**2)*(849*q - 362*q + 248*q). -1470*q**4 Expand (3 - 20 - 2)*(-2*a - 3*a + 3*a) + 15*a + 14 - 14. 53*a Expand (4*i + 7*i**2 - 4*i)*(411*i**2 - 819*i**2 - 3*i + 406*i**2 + 1). -14*i**4 - 21*i**3 + 7*i**2 Expand (-3*b**4 - 6*b**4 + 3*b**4)*(2 + 0 + 0 + (9 + 12 + 14)*(-3 + 4 + 1)). -432*b**4 Expand 0*r**2 + r**2 - 3*r**2 + (-1 + 0 + 2)*(-8*r**2 + 35 - 35)*(1 - 1 + 1 - 4 + 1 + 2 + (2 - 2 - 2)*(1 + 0 + 0)). 14*r**2 Expand (-10*u - 80 + 80)*(-2*u**4 + 0*u**4 + 0*u**4) + 9*u**5 - u**5 - 4*u**5 - u**5 + 0*u**5 + 0*u**5. 23*u**5 Expand (-6 + 2 - 2)*(-2*l - 12*l + 0*l). 84*l Expand (0 - 1 + 3)*(6 - 6 + 4*x) - 26 + 26 - 24*x - 3 + 2*x + 3 + (0 + 1 + 0)*(x - 3 + 3). -13*x Expand (l - 2 + 2)*((-6 + 2 + 3)*(-3 + 5 - 3) + 1 + 6 + 0)*(-6 + 4 - 3*l - 2). -24*l**2 - 32*l Expand (-3*w**3 + 2*w**3 - 5*w**3)*(-2*w**2 - w**2 + 5*w**2) - 66*w**5 + 240*w**5 + 156*w**5. 318*w**5 Expand (-2*n**4 + 3639 - 3639 + 16*n**3)*(-3 + 3 - n). 2*n**5 - 16*n**4 Expand 4 - 4 - 3*a**2 + a**2 - 2 + 2 - 3*a**2 + 3*a**2 + 3*a**2 + (2 - 2 - a)*(0*a + a - 3*a). 3*a**2 Expand (34*w**3 + 180*w**3 + 132*w**3)*(3*w + 0*w - 2*w)*(1 - 2 - 1). -692*w**4 Expand (b - 2*b + 4*b)*(-9*b - 20*b + 6*b) + b**2 - b**2 - 2*b**2. -71*b**2 Expand ((3 + 3 - 7)*(4*q - 5*q + 0*q) + 0 + 0 + q + q + 2*q + 2*q)*(55 + 12 + 67). 938*q Expand (2 - 2 - 2)*(-i - 1335*i**3 + 1213*i**3 - 2*i). 244*i**3 + 6*i Expand (-5*s + 4*s - 12*s)*(-3*s**3 - 19 - 2*s**3 + 21). 65*s**4 - 26*s Expand (4 + 5 - 11 - 6*u)*(-25*u + 25*u - 11*u**4). 66*u**5 + 22*u**4 Expand (3 - 98*t - 5 + 76*t)*(-6 + 2 + 2). 44*t + 4 Expand (3 - 1 + 48)*(3 - 3 + 2*u) + (-2 + 2 + 2)*(u - u + 2*u). 104*u Expand -19049*x + 19049*x + 309*x**3 + (x**2 + 4*x**2 - 3*x**2)*(-2*x + 4*x - 4*x). 305*x**3 Expand 0 + 0 - d + (-2*d + 5 - 3 + 0)*(-1 - 4 + 6)*(-1 + 12 + 22). -67*d + 66 Expand -5*x - x + 3*x + (2 + 2 - 3)*(0*x + x + 0*x). -2*x Expand (-20 - 23 - 20)*(f**2 - f + f). -63*f**2 Expand (-a**2 - 5*a**2 - 11*a**2)*(0*a - a - a) - 2*a + 2*a**3 + 2*a - 2*a**3 - a**3 + a**3 + 2*a - a**2 + 4*a**2 - a**2 + 1 + a**3.
{ "pile_set_name": "DM Mathematics" }
1)/3 Suppose -4 = -n + 2. Let m = -4 + n. Factor -c**2 + 3*c**2 + m + 0*c**2 + 4*c. 2*(c + 1)**2 Let a be (-74)/45 - (0 - 2). Let o(w) be the second derivative of -8/15*w**5 - 1/18*w**4 + 0 + 1/9*w**3 - 2*w + 0*w**2 + a*w**6. Find y, given that o(y) = 0. -1/4, 0, 1/4, 1 Factor 56/5*l**2 + 3/5*l**4 + 0 + 16/5*l + 5*l**3. l*(l + 4)**2*(3*l + 1)/5 Let u(q) = -q**2 + 2*q - 1. Let z(y) = y**3 + 14*y**2 + 14*y + 19. Let b be z(-13). Let w(l) = -9*l**2 + 16*l - 7. Let s(m) = b*w(m) - 51*u(m). Factor s(k). -3*(k - 1)*(k + 3) Suppose 8 = -7*j + 9*j. What is v in -15/4*v + 9/4*v**2 + 3/4*v**3 + 3/2 - 3/4*v**j = 0? -2, 1 Let l = -92 + 94. Factor 1/2*c**2 + l + 2*c. (c + 2)**2/2 Let w = -1/6 - -5/6. Determine p so that -w - p**2 - 3*p + 4/3*p**3 = 0. -1, -1/4, 2 What is n in 2/5*n - 2/5*n**3 - 2/5*n**4 + 0 + 2/5*n**2 = 0? -1, 0, 1 Let l(n) = -n**2 + 3*n + 1. Suppose 4*k - 19 = -7. Let z(g) = -k*g + 5*g - g. Let d(s) = -l(s) + 3*z(s). Let d(c) = 0. Calculate c. -1, 1 Let w(j) be the third derivative of j**8/5040 - j**6/540 + j**4/72 - j**3 - j**2. Let f(p) be the first derivative of w(p). Factor f(h). (h - 1)**2*(h + 1)**2/3 Let u = 1 - -1. Factor 4*g**2 - u*g - g**3 - 4*g**3 + 3*g**3. -2*g*(g - 1)**2 Factor -4/3*k**2 + 0 + 2/3*k - 2/3*k**5 + 4/3*k**4 + 0*k**3. -2*k*(k - 1)**3*(k + 1)/3 Suppose -10*o + 16 = -6*o. Let k be ((-9)/(-24))/(o/8). Factor -1/2*g + 1/4*g**2 + 0 + k*g**3. g*(g + 1)*(3*g - 2)/4 Suppose 3*c - 12*k + 16*k + 5 = 0, 0 = 5*c + 3*k - 10. Find z, given that -3/5*z**3 - 3/5*z**4 + 0*z - 1/5*z**2 - 1/5*z**c + 0 = 0. -1, 0 Let w be 1/(-2)*(3 + -3). Suppose 5*s - 6 - 4 = w. Factor -k - k**2 + k**s + k**2 + 2*k. k*(k + 1) Let u(j) = -2*j**2 - 3 + 0 + 3 + 4*j**3. Let g be u(2). Determine r, given that -g*r + 3*r**2 + 8 + 10*r**3 + 4 - 12*r**2 + 17*r**3 = 0. -1, 2/3 Let c(h) be the first derivative of -10*h**6 + 424*h**5/5 - 280*h**4 + 448*h**3 - 352*h**2 + 128*h - 17. Find x such that c(x) = 0. 2/5, 2/3, 2 Let l(u) = 2*u - 3 - u**4 + u - 2*u**3 + u**2 - u. Let n(i) = 148 + 3*i - i**3 - 149 - 2*i. Let y(s) = 2*l(s) - 6*n(s). Find d such that y(d) = 0. -1, 0, 1 Let u(v) be the second derivative of 0*v**2 + 0 - 1/10*v**5 + 0*v**3 - v + 1/30*v**6 + 1/12*v**4. Factor u(c). c**2*(c - 1)**2 Let q = -275/12 + 23. Let p(l) be the third derivative of 0*l + 0 - q*l**4 + l**2 - 1/30*l**5 + 0*l**3. Factor p(v). -2*v*(v + 1) Find j such that -3*j**4 - 3*j - 304*j**2 - 3*j**5 + 3 + 6*j**3 - 6 + 310*j**2 = 0. -1, 1 Let f(i) be the second derivative of 0 + 1/12*i**4 - i - 1/2*i**2 + 0*i**3. Factor f(a). (a - 1)*(a + 1) Suppose 0*r - 1125 = -5*r. Find p such that 225 + p**3 - r - p**5 = 0. -1, 0, 1 Let m(b) be the third derivative of b**5/100 + 3*b**4/40 + b**3/5 - 35*b**2. Find t, given that m(t) = 0. -2, -1 Let c(h) be the third derivative of -h**8/112 - 3*h**7/70 - h**6/20 + h**5/10 + 3*h**4/8 + h**3/2 - 13*h**2. Factor c(w). -3*(w - 1)*(w + 1)**4 Suppose -32/3*j + 2/3*j**2 + 128/3 = 0. Calculate j. 8 Solve 2*r**4 + 2*r**5 - 3*r**4 - r**4 + 0*r**5 = 0 for r. 0, 1 Let r be 462/12*(-6)/9. Let t = 27 + r. Find h such that 6*h**3 - 40/3*h**2 + 26/3*h - t = 0. 2/9, 1 Factor 9/2 + 30*q + 50*q**2. (10*q + 3)**2/2 Factor 0*z**2 - 1/6*z**3 + 0*z + 0 - 2/3*z**4. -z**3*(4*z + 1)/6 Let g(b) be the first derivative of b**3 - 9*b**2 + 27*b - 17. Factor g(w). 3*(w - 3)**2 Suppose -10*n**2 - 2*n**3 + 7*n**4 + n**4 - 6*n - 6*n**4 = 0. Calculate n. -1, 0, 3 Let l(w) be the second derivative of -w**9/37800 + w**7/6300 - w**4/4 + w. Let s(t) be the third derivative of l(t). Let s(z) = 0. Calculate z. -1, 0, 1 Let d(z) be the third derivative of 1/4*z**4 + 9/20*z**5 + 0 + 0*z + 0*z**3 + 2*z**2. Factor d(f). 3*f*(9*f + 2) Suppose d - 16 = 5*n, -n - 128 = -3*d - 2*d. Suppose 3*t + 4 = -b + 21, -4*t = 3*b - d. What is k in 1/3*k**3 - 1/3*k**5 + 0 - 1/3*k**4 + 0*k + 1/3*k**b = 0? -1, 0, 1 Let s(f) be the third derivative of -3*f**5/100 + 47*f**4/120 - f**3/3 - 18*f**2. Find c, given that s(c) = 0. 2/9, 5 Let r(j) be the first derivative of -5*j**4/12 + 2*j**3/3 - j**2/6 - 5. Let r(a) = 0. Calculate a. 0, 1/5, 1 Let m(f) be the first derivative of -21*f**4/16 - f**3/4 + 3. Factor m(q). -3*q**2*(7*q + 1)/4 Let r be 3 - (3/5 + (-94)/(-60)). Let b(l) be the second derivative of -r*l**4 - 4*l**2 + 1/10*l**5 + 8/3*l**3 + 2*l + 0. Factor b(m). 2*(m - 2)**2*(m - 1) Let l(y) be the second derivative of 3*y - 1/4*y**4 - 2*y**3 + 0 - 6*y**2. Factor l(s). -3*(s + 2)**2 Let a(o) = 18*o**3 - o**2 + 7*o + 6. Let b(q) = 17*q**3 - 2*q**2 + 6*q + 5. Let i(p) = 5*a(p) - 6*b(p). Find d such that i(d) = 0. 0, 1/4, 1/3 Factor -3/5*f**5 + 3/5*f**3 + 0 + 0*f - 3/5*f**2 + 3/5*f**4. -3*f**2*(f - 1)**2*(f + 1)/5 Let i(k) be the first derivative of 1/8*k**4 + 1/3*k**3 - 3/4*k**2 + 0*k - 1. Factor i(t). t*(t - 1)*(t + 3)/2 What is w in 20/3*w**4 - 4/3 - 16/3*w**2 - 8/3*w**5 - 8/3*w**3 + 16/3*w = 0? -1, 1/2, 1 Let v(o) be the second derivative of -o**7/63 - o**6/45 + o**5/30 + o**4/18 - 4*o. Factor v(b). -2*b**2*(b - 1)*(b + 1)**2/3 Determine m so that 125/3*m**4 - 180*m**2 - 32/3 + 350/3*m**3 + 232/3*m = 0. -4, 2/5 Let j(c) be the first derivative of 27/4*c - 9/4*c**2 + 4 + 1/4*c**3. Find o such that j(o) = 0. 3 Let d = -19 + 19. Factor 4/5 + 2/5*c**3 - 6/5*c + d*c**2. 2*(c - 1)**2*(c + 2)/5 Let s(u) be the first derivative of -2*u**6/3 - 4*u**5/5 + 3*u**4 + 20*u**3/3 + 4*u**2 + 8. Find r such that s(r) = 0. -1, 0, 2 Let y(t) be the third derivative of t**6/360 + t**5/90 - t**4/24 + 17*t**2. Solve y(g) = 0. -3, 0, 1 Suppose -5*t - 19 = -5*z - 2*t, 4*z - 2*t = 14. Solve 27 + 3*k**z + 4*k - 18*k - 4*k = 0. 3 Let q(f) be the first derivative of -f**4 - 4*f**3/3 + 10*f**2 - 12*f + 16. Factor q(t). -4*(t - 1)**2*(t + 3) Let r(i) be the third derivative of i**5/15 + i**4/3 + 12*i**2. Factor r(z). 4*z*(z + 2) Let i(u) be the second derivative of -u**5/15 + u**4/9 + 4*u**3/9 - 14*u. Determine t, given that i(t) = 0. -1, 0, 2 Let v = 59/114 - 1/57. Factor -1/4*g**2 + 0 + 1/4*g**3 - v*g. g*(g - 2)*(g + 1)/4 Find q, given that -9*q**4 + 22*q - 21*q**2 + 12 - 65*q + 31*q + 30*q**3 = 0. -2/3, 1, 2 Let w(f) be the second derivative of -3/8*f**4 - 1/20*f**5 + f**2 - f**3 - 3*f + 0. Let n(m) be the first derivative of w(m). Factor n(g). -3*(g + 1)*(g + 2) Let w(h) be the first derivative of h**6/270 - h**5/120 - h**4/72 - 5*h**3/3 + 4. Let m(x) be the third derivative of w(x). Factor m(y). (y - 1)*(4*y + 1)/3 Suppose a**2 + 0*a**2 - a**4 + 144*a + 0*a**4 - a**3 - 143*a = 0. What is a? -1, 0, 1 Let w(c) = c**2 - c. Let s be w(2). Factor -12*d + 4 - 5 + 9 + 4*d**s. 4*(d - 2)*(d - 1) Let i be (-3 - -4 - 7)*(-1)/2. Let l(u) be the first derivative of 1/2*u - i + 1/2*u**2 + 1/6*u**3. Factor l(j). (j + 1)**2/2 Let y(u) be the second derivative of 1/20*u**5 + 0*u**3 - 1/42*u**7 + 0 + 0*u**2 - 1/12*u**4 + 1/30*u**6 + 3*u. Factor y(a). -a**2*(a - 1)**2*(a + 1) Suppose 21 = 3*g - 4*j, -g - j = 3*g - 9. Factor -12 - 4*h**2 + g*h**3 - 3*h - 6*h**2 - 5*h**2 + 27*h. 3*(h - 2)**2*(h - 1) Let z(r) = 2*r**2 + 3*r + 3. Let g be z(-2). Suppose 6*n + g*i = 3*n + 10, -4*i = n - 1. Find u, given that 3*u**4 + 5*u**4 + u**3 - n*u**4 = 0. -1/3, 0 Let w = 0 + 3. Factor -4*k**5 + 8*k**5 - k**4 + w*k**4 + 2*k**4. 4*k**4*(k + 1) Let d(u) be the first derivative of u**3 - 3*u - 11. Factor d(t). 3*(t - 1)*(t + 1) What is y in 11/7*y**2 - 4/7 - 25/7*y**4 + 12/7*y - 30/7*y**3 = 0? -1, 2/5 Let i be (1 - (-21)/(-9)) + -1 + 3. Factor 0*s**3 + 0 + i*s**2 + 0*s - 2/3*s**4. -2*s**2*(s - 1)*(s + 1)/3 Let x be 12/54 + (-300)/(-108). Find d, given that 4/3*d**2 + 1/3*d - 2/3 + 1/3*d**5 - 2/3*d**x - 2/3*d**4 = 0. -1, 1, 2 Determine c, given that 1/7*c**2 + 6/7 + c = 0. -6, -1 Let r = 150 - 73. Let d be 1/(-2) - r/(-66). Let -4/9*x**4 - 2/9*x + d*x**2 - 2/9 + 2/9*x**3 = 0. Calculate x. -1, -1/2, 1 Let r(l) = l**3 + 1. Let k(m) = -5*m**3 - 2*m**2 + 2*m - 1. Let b(d) = -2*d**2 - 8*d + 7. Let g be b(-5). Let o(y) = g*r(y) - k(y). Factor o(u). 2*(u - 1)*(u + 1)**2 Let i be -1 - -2 - 60/64. Let h(y) be the first derivative of 0*y + 1/24*y**6 + 0*y**3 + 1/10*y**5 - 2 + i*y**4 + 0*y**2. Factor h(l). l**3*(l + 1)**2/4 Let b = -50/19 + 502/133. What is d in 1/7*d**3 - 4/7 + b*d - 5/7*d**2 = 0? 1, 2 Factor -41425*c**2 - 20495*c**3 + 7106*c - 1681 - 3815*c**4 - 819 - 245*c**5
{ "pile_set_name": "DM Mathematics" }
- 4*t**4 + 2*t**4. Let i(g) = -7*g**4 + 5*g - 7. Let y(l) = 5*b(l) + 2*i(l). What is the first derivative of y(h) wrt h? 4*h**3 Suppose 2*t = -t. Suppose -2*z = g + z - 8, -3*g + 4*z - 2 = t. What is the second derivative of 2*s**3 + g*s - 2*s**3 - 2*s**4 wrt s? -24*s**2 Let j(r) be the first derivative of 6*r**5/5 + 3*r - 1. Differentiate j(f) with respect to f. 24*f**3 Suppose a + 4*d - 6 = 3*d, -a + 18 = 4*d. Let i(u) = 11*u**2 + 24. Let w(q) = -3*q**2 - 6. Let t(z) = a*i(z) + 9*w(z). Find the first derivative of t(j) wrt j. -10*j Let c(f) = -25*f**3 - 6*f**2 - f - 6. Let q(r) = -r**3 - r**2 - 1. Let k(m) = -c(m) + 6*q(m). What is the second derivative of k(p) wrt p? 114*p Let o(i) = -i - 9. Let b be o(-13). Differentiate -4 + b + p**4 - 1 wrt p. 4*p**3 What is the third derivative of -125*p**3 + 125*p**3 + p**2 + 4*p**4 wrt p? 96*p Let q(b) be the first derivative of -4*b**3/3 - 6*b - 1. Find the first derivative of q(s) wrt s. -8*s Let t be (10/(-4))/((-1)/(-2)). Let n = t + 8. Find the first derivative of n*m**2 - 7*m - 2 + 7*m wrt m. 6*m Suppose 0 = -4*u + 2*u + 8. Suppose a - 13 = 3*q, -2*a + 6 + 12 = -u*q. What is the second derivative of a + 1 + 2*g**3 + 3*g - 2 wrt g? 12*g Find the third derivative of 11*v + 8*v - 20*v**2 - 2*v**5 - 19*v wrt v. -120*v**2 Suppose 3*s = -2*s + 3*n - 15, -5*s - 15 = -2*n. Let r be (4 - 1)/(s/(-4)). What is the third derivative of -2*p**r + p**2 - 2*p - p**4 + 2*p wrt p? -72*p Suppose 5*u = -5*j + 35, -3*u + j + 18 = u. Differentiate -7*z**3 + 5*z**3 - z**3 - 7 + u*z**3 with respect to z. 6*z**2 Let n(f) be the second derivative of -f**6/30 - 5*f**3/2 - 23*f. Find the second derivative of n(j) wrt j. -12*j**2 Suppose -2*v = 4*p + 10, 5*p + 8 = -3*v - v. Let u(f) = -f**3 - 5*f**2 - 5*f - 1. Let d be u(p). Find the first derivative of 1 - 7*z - z**d + 7*z wrt z. -3*z**2 Let g be 6/10 + (-34)/(-10). Find the third derivative of 0*y**2 + g*y**4 - 9*y**4 - 2*y**2 wrt y. -120*y Let b = 8 + -6. What is the third derivative of -3*t**3 - 3*t**b + t**3 + 7*t**2 wrt t? -12 Let n(s) be the first derivative of 5*s**4/2 - s**3/3 - 7. What is the third derivative of n(x) wrt x? 60 Let f(b) = -6*b**4 - 6*b**3 + 3*b + 6. Let j(k) = -k**5 - 13*k**4 - 13*k**3 + 7*k + 13. Let o(x) = -13*f(x) + 6*j(x). Find the second derivative of o(s) wrt s. -120*s**3 Let f(p) be the third derivative of 0*p**3 - 1/30*p**5 + 0 + 1/6*p**4 + p**2 + 0*p. Find the second derivative of f(j) wrt j. -4 Let k(y) be the first derivative of -y**2 + 5*y - 5. What is the derivative of k(t) wrt t? -2 Let v(r) be the second derivative of 0*r**5 + 0 + r + 0*r**3 + 1/30*r**6 + 0*r**4 - 2*r**2. What is the derivative of v(i) wrt i? 4*i**3 Suppose -9 = 2*b - 3*b + 3*d, d = 4*b - 36. Suppose 0*f + f = 2*o - b, -21 = 2*o + 5*f. Differentiate o*n**2 + 17*n - 4 - 17*n with respect to n. 4*n What is the second derivative of -14*x - 2*x**3 + x**3 + 14*x**3 wrt x? 78*x Let p(n) = -3*n**4 + 2*n**2 + 3*n. Let o(q) = q**6 + q**4 - q**2 - q. Let r(b) = -6*o(b) - 2*p(b). What is the third derivative of r(d) wrt d? -720*d**3 Suppose 2*g + 6 - 30 = 0. Suppose -3 + g = 3*d. Find the third derivative of 2*c**2 - c**2 + 2*c**d - 5*c**3 + c**2 wrt c. -18 Let d be 6 - (6 + -4 + 2). What is the first derivative of -77*t**d + 2 + 77*t**2 - 11*t**3 wrt t? -33*t**2 Find the third derivative of 10*v**4 - 3*v**2 - 2*v**4 + 0*v**4 wrt v. 192*v Let l(z) be the third derivative of 13*z**9/168 + z**5/30 - z**4/12 - 50*z**2. What is the third derivative of l(n) wrt n? 4680*n**3 Let w(o) = 13*o**3 + 11*o**2 + 7*o - 11. Let p(j) = -7*j**3 - 6*j**2 - 4*j + 6. Let r(a) = 11*p(a) + 6*w(a). Find the second derivative of r(n) wrt n. 6*n Let t(y) be the second derivative of -11*y**7/42 - 5*y**4/6 - y**3/6 + 14*y. Find the third derivative of t(n) wrt n. -660*n**2 Let f(q) be the third derivative of 0 - 1/30*q**5 - 1/168*q**8 + 0*q**3 + 0*q**4 + 0*q**7 + 0*q**6 + 0*q - 3*q**2. Find the third derivative of f(t) wrt t. -120*t**2 Let z(v) be the second derivative of -v**6/20 - v**4/8 + v**2 - 5*v. Let r(m) be the first derivative of z(m). What is the second derivative of r(s) wrt s? -36*s Let j(p) = -4*p**4 + 2*p**3 + 9*p**2 - 2*p. Let z(l) = l**3 - l**2 - l. Let x(q) = -j(q) + 2*z(q). Find the third derivative of x(i) wrt i. 96*i Let a(r) = 5*r**2 - r - 4. Let i(q) = -q**2 + q + 1. Let d(w) = -a(w) - 4*i(w). Find the second derivative of d(p) wrt p. -2 Let l(v) be the third derivative of -1/6*v**3 + 0*v + 0*v**5 + 0 - v**2 + 1/40*v**6 + 0*v**4. What is the derivative of l(s) wrt s? 9*s**2 Let t(f) be the third derivative of 0*f**3 + 0*f**4 - 2*f**2 - 1/42*f**7 - 1/60*f**5 + 0 + 0*f + 0*f**6. Find the third derivative of t(l) wrt l. -120*l Let f(w) = 9*w**3 - 6*w**2 + 7*w - 7. Let c(r) = 4*r**3 - 3*r**2 + 4*r - 4. Let b(n) = 7*c(n) - 4*f(n). What is the third derivative of b(s) wrt s? -48 Let u be (6/(-5))/(3/(-10)). Find the first derivative of 4 + 0 + 2*j**4 + 4*j**u - 2 wrt j. 24*j**3 Suppose -12 - 9 = -3*u. Find the second derivative of -u*d**3 + 3*d + 6*d**3 + 0*d wrt d. -6*d What is the first derivative of 2 - 6*g**2 - 14 - 5*g**2 + 5*g**2 wrt g? -12*g Let b(q) be the third derivative of q**7/840 + q**5/24 + q**3/6 - 7*q**2. Let z(d) be the first derivative of b(d). What is the second derivative of z(o) wrt o? 6*o Let g = -1 - -2. Suppose 6 - 15 = -3*a. What is the derivative of -g - m**a - 1 + 4*m**3 wrt m? 9*m**2 Find the second derivative of -7*h**5 - 11*h**4 - h + 8*h**4 + 3*h**4 wrt h. -140*h**3 Let a(p) = p**2 - p. Let c(j) = 4*j**2 + 4*j. Let q(n) = a(n) - c(n). What is the second derivative of q(g) wrt g? -6 Let w(l) be the third derivative of -7*l**7/30 - 19*l**3/6 + 22*l**2. Differentiate w(p) wrt p. -196*p**3 Suppose 3*z = 2*z - 0*z. Let f(a) be the second derivative of 0*a**3 + z - 1/12*a**4 - 3*a + a**2. What is the derivative of f(n) wrt n? -2*n Let u be (0 + 2)*3/2. Let y(g) = 2*g**3 - 3*g**2 - 1. Let w(h) = 2*h**3 - 4*h**2 - 2. Let i(l) = u*w(l) - 4*y(l). What is the first derivative of i(s) wrt s? -6*s**2 Let w(z) be the first derivative of -z**5/30 - 5*z**4/24 - z**3/3 + 4. Let h(a) be the third derivative of w(a). Differentiate h(s) with respect to s. -4 Let j(n) be the first derivative of -n**7/210 - 2*n**3/3 + 3*n**2/2 + 2. Let m(d) be the second derivative of j(d). Differentiate m(i) with respect to i. -4*i**3 Let i(z) = -2*z**4 - 2*z**3 + 2*z**2 - 2*z + 9. Let d(a) = -a**4 + a**3 - a**2 + a. Let o(h) = -2*d(h) - i(h). Differentiate o(y) with respect to y. 16*y**3 Suppose -b - 2*b + 9 = 0. Let x = b - 2. What is the derivative of 2*r + 0*r - x - 3 + 6 wrt r? 2 Let x = -7 + 9. Let f(c) = c + 3. Let p(d) = 3*d + 7. Let v(j) = x*p(j) - 5*f(j). Differentiate v(w) wrt w. 1 Suppose 265 = 5*g + v, 0 = 3*v + 6 + 9. What is the second derivative of 0*m**3 + g*m - 3*m**3 - 46*m wrt m? -18*m Differentiate -d**2 - 7 - 5*d**2 + d**2 wrt d. -10*d Let o = -6 + 10. What is the second derivative of -5*t**3 + 4*t**2 - 4*t**2 - o*t + 10*t**3 wrt t? 30*t Suppose -4*k - 3 = 3*p, 2*p + 0 = -2. Differentiate 2*n**2 + n**2 + 0*n**2 + k*n**2 + 2 wrt n. 6*n Let a(u) = -6*u**5 - 6. Let l(q) = -q**2 + 1. Let y(b) = a(b) + 6*l(b). What is the third derivative of y(z) wrt z? -360*z**2 Let u(t) be the second derivative of -3*t + 0*t**3 + 1/12*t**4 + 0*t**2 + 0 + 3/20*t**5. What is the third derivative of u(o) wrt o? 18 Let q(s) = -9*s**3 - s + 5. Let c(a) = 5*a**3 + a - 2. Let g(w) = 5*c(w) + 2*q(w). Find the second derivative of g(x) wrt x. 42*x Let g(c) be the first derivative of c + 2 - 1/2*c**4 + 0*c**2 + 0*c**3. Differentiate g(o) with respect to o. -6*o**2 Let c(g) = -g**2 + 4*g + 3. Let t = 10 - 6. Let k be c(t). What is the second derivative of v**3 - k*v**2 - v**2 + v + 4*v**2 wrt v? 6*v Let l be ((-5)/(-2))/(3/6). Suppose -2*c + 18 = 4*r, -4*c + 30 = c + l*r. What is the derivative of 3 + 6*g**3 - 2 - 4*g**c wrt g? 6*g**2 Let q(p) = -2*p - 7. Let b be q(-5). What is the derivative of 3*l**3 + 2*l**3 + 3 + l**3 - 3*l**b wrt l? 9*l**2 Let j = 4 - 1. Let o be j*((-2)/3)/(-1). Find the second derivative of n**5 - 2*n + o*n + n wrt n. 20*n**3 Let n(c) = 4*c**2 + c. Suppose -5 = 6*v - v. Let u be n(v). Find the second derivative of -2*b**5 - 7*b**3 + 7*b**u - 3*b wrt b. -40*b**3 Let q(a) be t
{ "pile_set_name": "DM Mathematics" }
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