s**3 + 784.
-(s - 8)*(s + 14)**2/2
Let -6*t**3 - 600 + 369/4*t**2 - 195/2*t - 3/4*t**4 = 0. Calculate t.
-16, -2, 5
Let f = 82095 - 82093. Let -4/17*x**f - 16/17*x + 2/17*x**3 + 0 = 0. What is x?
-2, 0, 4
Let g(z) be the first derivative of 2*z**3/21 - 578*z/7 - 617. Determine v, given that g(v) = 0.
-17, 17
Factor 91*k**2 + 456 - 279632*k + 279076*k + 13*k**2 - 4*k**3.
-4*(k - 19)*(k - 6)*(k - 1)
Let m(a) be the third derivative of a**5/12 + 55*a**4/8 + 210*a**3 - 4*a**2 - 681*a. Factor m(y).
5*(y + 12)*(y + 21)
Suppose -416 = -18*g - 14*g. Suppose 2*r - g*r = 0. Factor r + 10/7*w**4 + 2/7*w**5 + 6/7*w**3 - 18/7*w**2 + 0*w.
2*w**2*(w - 1)*(w + 3)**2/7
Suppose 0 = 2*t - 5*i + 2*i - 690, 0 = 4*i + 16. Let x = t - 336. Let 4*m**2 - 2*m - m**4 - 3/2*m**x + 1/2*m**5 + 0 = 0. What is m?
-2, 0, 1, 2
Let q be 11/(-22) + 99/6. Factor 19*c**2 + 72 - 4*c - 43*c - 35*c**2 + q*c**3 + 35*c - 48*c.
4*(c + 2)*(2*c - 3)**2
Let h(s) be the first derivative of -2*s**5/5 - 35*s**4/2 - 334*s**3/3 + 203*s**2 + 1159. Factor h(r).
-2*r*(r - 1)*(r + 7)*(r + 29)
What is r in 222774 + 559906 + 1312198*r + 526282 + 3238*r**2 + 2*r**3 = 0?
-809, -1
Let q(k) be the second derivative of k**5/140 - k**4/14 - 25*k**3/42 - 9*k**2/7 + 544*k. Factor q(p).
(p - 9)*(p + 1)*(p + 2)/7
Let y = -104/73 + -2/511. Let f = y - -16/7. Let 0*u**4 + 0*u - 4/7*u**2 + 2/7*u**5 + 0 - f*u**3 = 0. What is u?
-1, 0, 2
Let m(k) be the first derivative of 8*k**3/45 - 37*k**2/5 - 56*k/15 + 4852. Suppose m(x) = 0. What is x?
-1/4, 28
Let t = 63 - 58. Factor -f**3 + 2*f**4 + t*f**4 - 3*f**3 - 3*f**4.
4*f**3*(f - 1)
Find j, given that -12/7*j**2 + 30/7*j - 2/7*j**3 - 16/7 = 0.
-8, 1
Let s(x) = -2*x**4 - 122*x**3 + 124*x**2 + 14*x + 7. Let k(w) = -2*w**4 - 122*w**3 + 124*w**2 + 12*w + 6. Let r(l) = -7*k(l) + 6*s(l). Solve r(z) = 0.
-62, 0, 1
Suppose 4*l - 164 = -3*p + 8*p, 4*l - 4*p = 168. Find c such that -l*c**3 + 254*c**3 - 1844*c**2 + 4748*c**2 + 2500 + 428*c + 4*c**4 + 4772*c = 0.
-25, -1
Let h(v) = -5*v + 60. Let y be h(5). Factor 12 + y*r - 17*r + 3*r**2 - 6*r.
3*(r + 2)**2
Let x(t) be the third derivative of t**6/150 + 16*t**5/75 - 101*t**4/30 + 56*t**3/5 + 83*t**2. Factor x(h).
4*(h - 4)*(h - 1)*(h + 21)/5
Let w(f) = -9*f - 15. Let c be w(-5). Let l be 48/(-100)*(-1600)/c. Factor -l + 26/5*q**3 - 24*q**2 + 224/5*q - 2/5*q**4.
-2*(q - 4)**3*(q - 1)/5
Let -35/4 + 17/2*i**2 + 1/4*i**4 + 3*i**3 - 3*i = 0. What is i?
-7, -5, -1, 1
Let u(c) = 440*c + 1765. Let n be u(-4). Determine m so that 816/7*m**3 + 0 + 64/7*m - 580/7*m**4 - 400/7*m**2 + 100/7*m**n = 0.
0, 2/5, 1, 4
Let n be (-27)/5 - -4 - (-952)/680. Solve -14/9*p**2 + n + 14/9*p**4 + 4/9*p + 2/3*p**3 - 10/9*p**5 = 0 for p.
-1, 0, 2/5, 1
Let d be (-2 + 6/5)/((-4)/150). Factor -22*a**4 + 15*a**5 - 107*a + 11*a**3 - 13*a**4 + d*a**2 + 82*a + 5 - a**3.
5*(a - 1)**3*(a + 1)*(3*a - 1)
Let f(v) be the second derivative of v**5/60 - 35*v**4/36 - 100*v**3/9 - 1947*v. Find d such that f(d) = 0.
-5, 0, 40
Let q(b) be the second derivative of -11*b**5/5 - 1531*b**4/3 + 2524*b**3/3 + 560*b**2 + 3*b - 505. Find j, given that q(j) = 0.
-140, -2/11, 1
Let h(m) be the second derivative of -2*m**7/63 + 16*m**6/45 + 2*m**5/15 - 52*m**4/9 - 146*m**3/9 - 56*m**2/3 + 2*m - 1228. Find a such that h(a) = 0.
-1, 4, 7
Let m(w) be the first derivative of 11 + 1/2*w**2 + 1/20*w**5 + w - 1/12*w**4 - 1/6*w**3. Let i(y) be the first derivative of m(y). Solve i(b) = 0.
-1, 1
Suppose -109*k = -125*k + 80. Let w(s) be the first derivative of 0*s**3 + 1/14*s**4 - s**2 + k - 12/7*s. Factor w(u).
2*(u - 3)*(u + 1)*(u + 2)/7
Factor -54/7*j + 0 + 51/7*j**2 + 3/7*j**3.
3*j*(j - 1)*(j + 18)/7
Let n(m) be the second derivative of -m**6/30 + 12*m**5 + 489*m**4/4 + 1105*m**3/3 + 492*m**2 + 2*m + 3132. Factor n(i).
-(i - 246)*(i + 1)**2*(i + 4)
Suppose -4*r + 11 = -4*d - 41, 23*r = 3*d + 79. Determine q, given that -102/5*q**3 + 56/5*q**r + 232/5*q + 96/5 + 18/5*q**4 = 0.
-2/3, 3, 4
Let s(x) = -2*x**4 + 45*x**3 + 192*x**2 - 4531*x - 9519. Let w(k) = 3*k**4 - 47*k**3 - 193*k**2 + 4531*k + 9518. Let p(z) = -4*s(z) - 3*w(z). Factor p(m).
-(m - 9)*(m + 2)*(m + 23)**2
Determine i so that 269304 - 9*i**2 - 1234*i + 32419 + 123319 + 11*i**2 - 610*i = 0.
461
Let n(q) be the third derivative of 1/84*q**8 - 736/15*q**5 + 0*q - 2/5*q**7 + 88/15*q**6 + 0 + 256*q**4 + 143*q**2 - 2560/3*q**3. Factor n(x).
4*(x - 5)*(x - 4)**4
Let r(b) be the third derivative of b**8/112 - 21*b**7/10 - 297*b**6/40 - 149*b**5/20 + 2*b**2 - 520. Determine l so that r(l) = 0.
-1, 0, 149
Let x = 2/195375 + 6251974/2539875. Suppose -36/13*c**2 + 12/13 - x*c**3 + 24/13*c**4 + 10/13*c**5 + 22/13*c = 0. What is c?
-3, -1, -2/5, 1
Let x be (-1473)/(-42) - (-36)/84. Let l = 41 - x. Solve l*n**3 + 0 + 8*n**4 + 7/2*n**5 + 0*n + n**2 = 0.
-1, -2/7, 0
Let o(w) = -60*w**3 + 187*w**2 - 101*w - 50. Let b(d) = -2*d**2 + d + 4. Let x(k) = 8*b(k) + o(k). Let x(i) = 0. What is i?
-3/20, 1, 2
Suppose -2*x + 11 = 5*c, 5*x = 5*c + 5 + 5. Let o be -14 + (-10 + 14 - -13). Let 16/5*n**x + 9/5 - 8/5*n**2 - o*n = 0. Calculate n.
-1, 3/4
Let p(i) = i**3 + i - 1. Let y(d) be the first derivative of 2*d**2 + d + 2. Let g(r) = 3*p(r) - 3*y(r). Suppose g(s) = 0. What is s?
-1, 2
Let n(u) be the second derivative of 4/9*u**4 + 0*u**3 + 0*u**2 + 0 + 1/15*u**5 - 197*u. Factor n(d).
4*d**2*(d + 4)/3
Let y(m) be the third derivative of m**7/42 - 253*m**6/24 + 1785*m**5 - 127890*m**4 + 493920*m**3 - 1824*m**2. Determine s, given that y(s) = 0.
1, 84
Let v = -2174 + 2174. Let q(y) be the second derivative of -2/135*y**6 - 2/9*y**2 - 5/189*y**7 - 8*y + 1/9*y**5 - 5/27*y**3 + 2/27*y**4 + v. Solve q(u) = 0.
-1, -2/5, 1
Let l(b) be the third derivative of b**9/10584 + b**8/1470 - 11*b**7/2940 + b**6/210 - 5*b**3 - 69*b**2. Let u(k) be the first derivative of l(k). Factor u(x).
2*x**2*(x - 1)**2*(x + 6)/7
Find d such that 57/4*d - 9/8*d**2 + 3/8*d**4 - 9 - 9/2*d**3 = 0.
-2, 1, 12
Find d such that 77903*d**2 - 10*d**5 + 60 + 13*d**5 + 21*d**3 - 48*d + 21*d**4 - 77960*d**2 = 0.
-5, -2, 1
Suppose 4 = -4*i + 4*x, i - 6*x + 7*x = 9. Factor i*m**3 + 3*m - 2*m**4 - 5*m + 2*m - 826*m**2 + 824*m**2.
-2*m**2*(m - 1)**2
Let m(w) be the third derivative of w**5/450 + 407*w**4/90 + 165649*w**3/45 - 466*w**2. Find d such that m(d) = 0.
-407
Let b(v) be the third derivative of v**5/12 + 135*v**4/2 + 21870*v**3 - 4*v**2 + 189. Factor b(n).
5*(n + 162)**2
Let -16/11*u**3 - 324/11 + 90/11*u + 126/11*u**2 - 8/11*u**4 = 0. What is u?
-9/2, -2, 3/2, 3
Let m(d) be the first derivative of -7*d**4 + 0*d + 0*d**2 + 32/15*d**5 - 2/9*d**6 + 8*d**3 - 187. Let m(o) = 0. What is o?
0, 2, 3
Suppose -3*s - 7*n = -4*n + 3, 11 = s - 2*n. Let q be (4/s)/((-170)/(-255)). Find d such that -2/9*d**q + 2/3*d + 0 = 0.
0, 3
Suppose -5*p - 8 + 18 = 0. Factor -4*i**4 + 168 + 12*i + i**3 - 164 + 11*i**p + i**4 - i**5.
-(i - 2)*(i + 1)**3*(i + 2)
Let h(u) be the first derivative of -u**6/2 - 123*u**5/35 - 111*u**4/14 - 40*u**3/7 - 4993. Solve h(w) = 0.
-20/7, -2, -1, 0
Suppose -16*r = -15*r - 80. Factor 4*l**4 - 2*l**4 + 1446*l - 2*l + 8*l**3 + 570*l**2 - r*l**3.
2*l*(l - 19)**2*(l + 2)
Let p be (-12)/30 + (-6)/(6/(-1)). Suppose 2*m - r + 2*r = 4, 0 = -r. Factor -2/5 + p*z - 1/5*z**m.
-(z - 2)*(z - 1)/5
Let v be (-6)/21 + 32/14. Suppose -5*t + v*t + 36 = 0. Factor 3*y**5 + 16*y**2 + 27*y**3 + 6*y - t*y**2 - 15*y**4 - 25*y**2.
3*y*(y - 2)*(y - 1)**3
Suppose -8 = 5*l + 2*w, 5*l + 162 = -5*w + 142. Factor -13/4*s - 1/4*s**3 - 7/2*s**2 + l.
-s*(s + 1)*(s + 13)/4
Let o(h) be the third derivative of h**8/1176 + 8*h**7/735 - 7*h**6/10 + 28*h**5/3 - 4675*h**4/84 + 1000*h**3/7 - h**2 - 875*h + 4. Suppose o(z) = 0. What is z?
-24, 1, 5
Factor 0*p**2 - 45/2*p**3 + 0 + 0*p + 3/2*p**4.
3*p**3*(p - 15)/2
Let c be (-2)/3 - (-7 + (-3177)/189). Let m = -1558/77 + c. Find v, given that 0 + 14/11*v**4 + 8/11*v**2 + 0*v + m*v**3 = 0.
-2, -2/7, 0
Let a be (-65)/45*21*-51. Let 112*k**2 + a - 4*k**3 - 1547 = 0. Calculate k.
0, 28
Let o(l) = l**3 - l**2 + l + 1. Let n = 304 + -308. Let x(z) = -z**4 + z**3 - 5*z**2 + 7*z + 6. Let b(q) = n*o(q) + x(q). Factor b(k).
-(k - 1)*(k + 1)**2*(k + 2)
Let j(u) be the second derivative of u**5/360 - 13*u**4/144 - 3*u**2/2 + 3*u - 40. Let q(z) be the first derivative of j(z). Let q(b) = 0