1/3*w + 5/3*w**2 - w**o.
-(w - 1)**2*(3*w + 1)/3
Let n(w) be the first derivative of -4*w**5/5 - 5*w**4 + 88*w**3/3 + 112*w**2 + 2661. Factor n(i).
-4*i*(i - 4)*(i + 2)*(i + 7)
Suppose 170*m - 179*m - 135 = 0. Let b = -11 - m. What is t in 6/7 - 2/7*t**2 - 10/7*t**3 + 10/7*t - 4/7*t**b = 0?
-3/2, -1, 1
Suppose 672*l**3 + 1484332*l**2 - 231840*l - 1448770*l**2 - 56721 + 3*l**4 + 413796 = 0. Calculate l.
-115, 3
What is i in 0 - 42/5*i**2 + 21/5*i**3 + 24/5*i - 3/5*i**4 = 0?
0, 1, 2, 4
Let j = 171/334 + -2/167. Suppose 32 = v + 50*o - 55*o, 4*v - 2*o - 20 = 0. Let j*f + 1/2*f**v - 1/2*f**4 + 0 - 1/2*f**3 = 0. What is f?
-1, 0, 1
Suppose 4*z + 71 = -73. Let v = z - -51. Factor 30*i**5 - 35*i**5 + 13*i**2 - v*i**4 + 7*i**2.
-5*i**2*(i - 1)*(i + 2)**2
Let i be (42/12)/(3128/(-520) + 6). Let v = i - -232. Factor -v*l**3 - 15*l**2 + 81/2*l + 15.
-3*(l - 2)*(l + 5)*(3*l + 1)/2
Let g(l) be the first derivative of -33*l**5/20 - 9*l**4/16 + 57*l**3/4 + 237*l**2/8 + 45*l/2 - 5830. Suppose g(a) = 0. Calculate a.
-1, 30/11
Suppose 941 = 3*p - 166. Suppose -u = 8 - 14. Let -9*f**2 + 3 - 369*f + p*f - u*f**3 = 0. Calculate f.
-1, 1/2
Factor 9/5*x**3 + 213/5*x**2 + 139/5*x + 23/5.
(x + 23)*(3*x + 1)**2/5
Let 20/3 + 7*i + 1/3*i**2 = 0. What is i?
-20, -1
Solve -145775 - 508*c**2 + 17760*c + 36*c**3 + 44975 - 32*c**3 = 0.
7, 60
Find g such that -32/3 - 1/3*g**2 + 4*g = 0.
4, 8
Suppose -32*b = 10982 + 30074. Let q = b - -1285. Let 0*t**q - 2/5*t**5 + 0*t + 0 + 0*t**3 - 2*t**4 = 0. What is t?
-5, 0
Let n(h) = -5*h - 115. Let m be n(-29). Factor 12*v - m*v**3 - 14*v**2 + 2 + 32*v**3 - 2.
2*v*(v - 6)*(v - 1)
Let g(j) be the second derivative of j**5/60 + 125*j**4/6 - 167*j**3/2 + 376*j**2/3 + 2495*j. Find m such that g(m) = 0.
-752, 1
Let n(p) be the first derivative of -1/3*p**4 + 16 + 0*p**2 + 5/3*p**3 + 1/180*p**6 + 0*p + 0*p**5. Let w(i) be the third derivative of n(i). Factor w(u).
2*(u - 2)*(u + 2)
Suppose 39 - 39 = -257*k. Let l(p) be the second derivative of -1/6*p**3 - 1/40*p**5 + k*p**2 + 21*p - 1/8*p**4 + 0. Find q such that l(q) = 0.
-2, -1, 0
What is c in 209/2*c - 273 - 1/2*c**3 + 17*c**2 = 0?
-7, 2, 39
Solve -2/7*s**2 - 8/7*s - 6/7 = 0.
-3, -1
Solve 68/9*u**2 + 18*u - 140/9 - 8/3*u**4 - 2/9*u**5 - 64/9*u**3 = 0.
-7, -5, -2, 1
Let l(q) be the third derivative of -q**6/600 + 7*q**5/30 + 149*q**4/40 + 114*q**3/5 + 162*q**2 + 4*q. What is x in l(x) = 0?
-3, 76
Let x(h) be the second derivative of h**5/90 + 49*h**4/27 - 200*h**3/27 - h - 1861. Determine n so that x(n) = 0.
-100, 0, 2
Let i(h) be the first derivative of -h**4/90 + 2*h**3/15 + 28*h + 62. Let g(d) be the first derivative of i(d). Find y, given that g(y) = 0.
0, 6
Suppose -37*a**4 - 2*a + 91/3*a**3 - 1/3*a**2 + 0 + 9*a**5 = 0. Calculate a.
-2/9, 0, 1/3, 1, 3
Let j(w) be the first derivative of w**4/102 + w**3/17 - 10*w**2/17 + 41*w + 82. Let u(n) be the first derivative of j(n). Factor u(m).
2*(m - 2)*(m + 5)/17
Let m = -1569 - -713. Let f = 5996/7 + m. Suppose -f*b**2 + 0 - 2/7*b**3 + 0*b = 0. What is b?
-2, 0
Let h(t) = t**3 - 3*t + 4. Let p be h(0). Let x be 8 - (-6)/p*-4. Factor -1/8*s**2 + x*s - 8.
-(s - 8)**2/8
Let z = -111300 - -556504/5. Factor -4/5*o - z*o**2 + 1/5*o**5 + 3/5*o**3 + 4/5*o**4 + 0.
o*(o - 1)*(o + 1)*(o + 2)**2/5
Determine d, given that 718/3*d + 2/3*d**3 + 724/3*d**2 - 1444/3 = 0.
-361, -2, 1
Let n(o) be the third derivative of 82668*o**5/5 + 166*o**4 + 2*o**3/3 - 2051*o**2. Factor n(c).
4*(498*c + 1)**2
Suppose 1/4*w + 1/2 + 1/4*w**3 - 1/2*w**5 + 5/4*w**4 - 7/4*w**2 = 0. What is w?
-1, -1/2, 1, 2
Let u(v) = v**2 - 23*v + 55. Let n be u(2). Let p(m) be the second derivative of 0*m**2 + n*m + 0 + 1/8*m**4 - 1/2*m**3. Solve p(r) = 0 for r.
0, 2
Let w(x) = 3*x**3 - 13*x**2 - 8*x - 6. Let d be w(5). Factor -4*q**4 + 17*q**2 + d*q**4 + 2*q**4 - 41*q**2 + 2*q**3.
2*q**2*(q - 3)*(q + 4)
Let b(i) be the second derivative of 3/11*i**3 - 23/110*i**5 + 16/231*i**7 + 8/165*i**6 - 45*i + 0 + 0*i**2 - 1/11*i**4. Find f, given that b(f) = 0.
-1, 0, 3/4
Suppose 0 = -4*f, -3*y - 797*f + 8 = y - 801*f. Suppose -5929/2 - 1/2*h**y - 77*h = 0. What is h?
-77
Let g(l) be the first derivative of -l**7/105 - l**6/100 + l**5/75 - 67*l**2/2 + 26. Let c(m) be the second derivative of g(m). Factor c(k).
-2*k**2*(k + 1)*(5*k - 2)/5
Suppose 261 - 721 = -5*p. Suppose -134*o**2 + 15*o + p*o**2 + 67*o**2 = 0. What is o?
-3/5, 0
Let n(w) be the third derivative of w**7/105 - w**6/15 - 7*w**5/30 + 5*w**4/6 - 2*w**2 - 18. Determine k so that n(k) = 0.
-2, 0, 1, 5
Let x(u) be the second derivative of u**7/189 + 8*u**6/135 + 7*u**5/30 + 11*u**4/27 + 8*u**3/27 - 2*u - 349. Solve x(l) = 0 for l.
-4, -2, -1, 0
Let k(z) be the first derivative of z**7/1470 + z**6/210 + z**5/140 + 3*z**2 + 5*z - 51. Let q(i) be the second derivative of k(i). Let q(n) = 0. What is n?
-3, -1, 0
Suppose -22*u + 93 = 9*u. Factor 0*g - u*g**2 - 4 - 6 - 24*g - 11.
-3*(g + 1)*(g + 7)
Let w be 14/(-42) + (-38)/3. Let a(v) = v**2 + 13*v + 2. Let m be a(w). Suppose 242*u - 2*u**3 - 280*u - 36*u**m - 432 - 178*u = 0. What is u?
-6
Factor d**4 - 1/7*d**5 + 459/7*d - 405/7 + 6/7*d**3 - 162/7*d**2.
-(d - 3)**4*(d + 5)/7
Let p be (75/30 - (2 - -2))/((-1)/2). Let y(f) be the first derivative of 1/2*f**2 + 0*f**p + 11 - 1/16*f**4 + 0*f. Solve y(l) = 0.
-2, 0, 2
Let c(t) be the third derivative of -t**7/1365 - t**6/195 + 8*t**5/195 + 16*t**4/39 - 747*t**2. Factor c(a).
-2*a*(a - 4)*(a + 4)**2/13
Let b(q) be the third derivative of -q**5/510 + 13*q**4/102 - 169*q**3/51 + 1583*q**2. Factor b(u).
-2*(u - 13)**2/17
Let j be 33/5 - (-18)/45. Suppose -o = 5*g - 27, -3*o + 2*g = -4*o + 12. Solve 2*x**o + 16*x - 19*x + j*x = 0 for x.
-2, 0
Suppose 4*b = -8 + 36. Let h = b - 2. Factor -6*n**4 - 2*n**h + 25*n**2 - 6*n**3 - 17*n**2 - 10*n**2.
-2*n**2*(n + 1)**3
Let t(y) = -4*y**3 + 57*y**2 - 8*y - 81. Let n be t(14). Let v(m) be the first derivative of -3/7*m**2 + 5/7*m + 1/21*m**n + 8. Suppose v(f) = 0. Calculate f.
1, 5
Let s = 162 + -126. Find x, given that -9*x**2 + s*x + 56 - x**2 + 14*x**2 = 0.
-7, -2
Let f(x) be the first derivative of -19 - 5/6*x**3 + 10*x + 0*x**2 - 1/12*x**4. Let q(t) be the first derivative of f(t). Factor q(p).
-p*(p + 5)
Let h(s) be the third derivative of s**6/900 - s**5/10 + 43*s**4/30 + 304*s**3/45 - 556*s**2 + 3*s + 1. Determine p, given that h(p) = 0.
-1, 8, 38
Let r = -4821337/3 - -1607123. Factor -r*k - 22/3 - 19/6*k**2 + 1/6*k**3.
(k - 22)*(k + 1)*(k + 2)/6
Let q = 48 + -48. Suppose -4*d + 2 = 4*p - 14, -d + p + 2 = q. Factor 1011*z**2 + 9604 + 165*z**2 - 1557*z + 135*z**d - 23*z**3 + 7045*z + 4*z**4.
4*(z + 7)**4
Let x(r) be the third derivative of r**8/336 + r**7/70 - 17*r**6/60 - 7*r**5/6 + 75*r**4/8 - 125*r**3/6 - 1314*r**2. Factor x(p).
(p - 5)*(p - 1)**2*(p + 5)**2
Let q = 721 + -691. Suppose -58*f + 112 = -q*f. Factor 1/5*i**3 + i**2 + 0 + 3/5*i - 1/5*i**f.
-i*(i - 3)*(i + 1)**2/5
Let f(u) be the third derivative of -7/6*u**4 + 16/3*u**3 + 0*u - 132*u**2 - 1/15*u**5 + 0. Solve f(r) = 0 for r.
-8, 1
Let -755 + 1334 - 3*i**2 - i**2 + 196*i - 556 - 1055 = 0. Calculate i.
6, 43
Find s, given that -152*s**3 - 580*s**4 + 517*s**2 + 459*s**2 - 4300*s + 694*s**2 + 578*s**4 = 0.
-86, 0, 5
Let o(t) be the second derivative of 1/4*t**5 + 5*t - 40*t**2 - 15/4*t**4 + 20*t**3 - 1. Factor o(u).
5*(u - 4)**2*(u - 1)
Let t(w) = w**3 - 5*w**2 + 12*w - 32. Let j be t(4). Let m(c) be the second derivative of j*c**2 + 0*c**4 - 1/69*c**3 + 12*c + 0 + 1/230*c**5. Solve m(i) = 0.
-1, 0, 1
Let q = 2851/40 - 569/8. Let v(z) be the second derivative of -q*z**5 + 0 + 9*z + 0*z**2 - 5/4*z**4 + 0*z**3. Factor v(j).
-3*j**2*(j + 5)
Factor -16*g**2 + 19*g**3 + 50*g - 6*g**5 + 52*g**4 - 4*g**5 - 91*g**3 + 14*g.
-2*g*(g - 2)**3*(5*g + 4)
Let v(l) = -2*l**3 - 72*l**2 - 69*l + 40. Let y be v(-35). Suppose 17*s**5 - 700*s**4 - 2 + 2 + 920*s**4 + y*s**2 - 177*s**5 - 65*s**3 = 0. Calculate s.
0, 1/8, 1/4, 1
Let -2/7*b**4 + 12/7*b**3 - 2*b**2 + 16/7 - 12/7*b = 0. Calculate b.
-1, 1, 2, 4
Let w be (0*4/12)/((-42 - -13)/29). Factor 9/4*i**3 - 3*i + w + 0*i**2 + 3/4*i**4.
3*i*(i - 1)*(i + 2)**2/4
Let i(p) be the first derivative of p**3/3 + 1339*p**2/8 - 335*p/4 - 12065. Let i(h) = 0. What is h?
-335, 1/4
Let v(f) be the second derivative of -f**8/17