= 0.
-1, 0, 1, 2
Let o(y) be the third derivative of y**5/40 - 127*y**4/8 - 128*y**3 - 26*y**2 + 10. Let o(r) = 0. What is r?
-2, 256
Let -u**5 - 32*u**2 - 24*u**4 + 3*u**5 - 29*u**2 + 72*u**3 - 3*u**2 = 0. Calculate u.
0, 2, 8
Let b(g) = -35*g**4 + 245*g**3 + 85*g**2 - 2160*g + 2535. Let f(n) = 5*n**4 - 35*n**3 - 12*n**2 + 308*n - 362. Let v(p) = 2*b(p) + 15*f(p). Factor v(m).
5*(m - 6)*(m - 2)**2*(m + 3)
Determine y so that -19/8*y - 3/2*y**2 + 1/8*y**3 + 39/4 = 0.
-3, 2, 13
Suppose 0 = -51853*y + 50052*y. Factor 2/15*w**2 + 2/15*w**3 - 2/15*w + y - 2/15*w**4.
-2*w*(w - 1)**2*(w + 1)/15
Solve 96*h + 536874*h**2 - 3*h**4 - 15*h**3 - 536828*h**2 + 4*h**4 - 128 = 0 for h.
-2, 1, 8
Let d = -281606599/243441 + -60/27049. Let x = d + 1157. What is g in 2/9*g**2 + 4/9*g**3 + 0 + 0*g + x*g**4 = 0?
-1, 0
Determine b so that -405*b**2 + 50 + 460*b**2 + 38*b - 162*b + 7*b - 168*b = 0.
2/11, 5
Let w = -467099/450 - -1038. Let t(h) be the third derivative of 0*h + 5*h**2 - w*h**6 + 0 + 0*h**4 - 1/1575*h**7 + 0*h**3 + 0*h**5. Factor t(g).
-2*g**3*(g + 2)/15
Let x = -9858 + 9860. Let f = 19 + -92/5. Solve -f*b**x + 0 + 0*b = 0.
0
Let z be 1/(-3 + (-35)/(-10)). Suppose 5*n + 15 = -z*k - k, -n = 3*k + 15. Factor 6 + 44 + n*b**2 + 20*b - 3*b**2 + 5*b**2.
2*(b + 5)**2
Suppose -g - 2*d - 9 + 61 = 0, -g + 77 = -3*d. Let t = -60 + g. Factor z**2 - 5*z**t - 4*z**4 + 8*z**4.
4*z**2*(z - 1)*(z + 1)
Let i be -4*(-3 - 4/(-2)). Let c(j) = 12*j**3 + 79*j**2 - 42*j**2 + 4 - 40*j**2. Let m(r) = 12*r**3 - 3*r**2 + 3. Let t(b) = i*m(b) - 3*c(b). Factor t(d).
3*d**2*(4*d - 1)
Let a(f) be the third derivative of 0*f**3 - 127*f**2 - 1/168*f**4 + 0*f + 1/210*f**7 + 0 - 3/280*f**6 + 1/84*f**5 - 1/1176*f**8. Factor a(d).
-d*(d - 1)**3*(2*d - 1)/7
Let x(q) be the second derivative of -q**7/12 + 31*q**6/120 + 5*q**5/8 - 5*q**4/6 - 3*q**3/2 + 9*q**2/8 - 19*q - 22. Determine o so that x(o) = 0.
-1, 3/14, 1, 3
Suppose -1 = -o + 9. Suppose -o = -3*p - 4, -13 = -3*g - 2*p. Determine w, given that 2/7 - 8/7*w - 8/7*w**g + 2/7*w**4 + 12/7*w**2 = 0.
1
Let w(j) = j**3 - 182*j**2 - 476*j - 286. Let i(g) = g**3 - 92*g**2 - 239*g - 142. Let f(t) = 7*i(t) - 4*w(t). Find k such that f(k) = 0.
-25, -2, -1
Let r = 326303/11121 + -29/3707. Factor -73/6*f**3 - 1/6*f**5 + 7/3*f**4 - r*f + 86/3*f**2 + 32/3.
-(f - 4)**3*(f - 1)**2/6
Let v(n) be the second derivative of 2*n**7/231 + 7*n**6/165 - 23*n**5/22 + 151*n**4/66 + 5*n**3/33 - 50*n**2/11 + 322*n - 2. Solve v(d) = 0.
-10, -1/2, 1, 5
Let q(n) be the second derivative of -n**4/42 + 11*n**3/21 + 12*n**2/7 - 7457*n. What is m in q(m) = 0?
-1, 12
Let m(z) be the second derivative of 9 - 7/45*z**3 - 15*z - 1/90*z**4 - 2/5*z**2. Factor m(a).
-2*(a + 1)*(a + 6)/15
Let -71/2 - 50*s**5 + 5818*s**3 + 532*s - 6935/2*s**4 - 2797*s**2 = 0. Calculate s.
-71, 1/5, 1/4, 1
Factor 321561*p + 322580 + 45699*p + 607*p**3 + 18868*p - 2535*p**2 - 602*p**3 - 66088*p.
5*(p - 254)**2*(p + 1)
Let i be 136 + -69 + -106 - -44. Determine q so that 46/7*q**4 + 38/7 + 236/7*q**2 - 2/7*q**i - 22*q - 164/7*q**3 = 0.
1, 19
Factor 132*q**2 + 6*q**3 - 1890*q - 8*q**3 - 9036 - 764.
-2*(q - 35)**2*(q + 4)
Let b(g) be the second derivative of 0*g**2 + 0*g**5 + 0*g**3 + 0*g**4 + 9/10*g**6 + 0 - 73*g + 1/42*g**7. Factor b(i).
i**4*(i + 27)
Let i(g) = -23*g**2 - 8645*g + 25790. Let y(w) = -15*w**2 - 5760*w + 17195. Let d(k) = 5*i(k) - 8*y(k). Suppose d(n) = 0. Calculate n.
-574, 3
Let j be -2*(-2)/(-14) + 675/35. Suppose -11*c = -25 - j. Determine g so that 1/2*g**2 + 8 - c*g = 0.
4
Let c(p) be the second derivative of 2*p**6/21 - 1342*p**5/35 + 90316*p**4/21 - 71824*p**3/21 - 2434*p. Factor c(l).
4*l*(l - 134)**2*(5*l - 2)/7
Factor -3*k**2 - 24652 - 81*k - 24624 + 49360.
-3*(k - 1)*(k + 28)
Let i = 25291/15 + -1686. Let s(b) be the second derivative of 0 + 0*b**3 - 1/42*b**7 + i*b**6 + 1/20*b**5 + 0*b**2 - 1/6*b**4 - 6*b. Factor s(m).
-m**2*(m - 2)*(m - 1)*(m + 1)
Let -419*x + 74*x + 15*x - 44*x - 4*x**3 - 125 + 503*x**2 = 0. What is x?
-1/4, 1, 125
Let i be (2/4 - 0) + (-133)/(-38). Let c(a) be the third derivative of -3/160*a**6 + 0*a**4 + 0 + 0*a + i*a**2 + 1/40*a**5 + 0*a**3. What is z in c(z) = 0?
0, 2/3
Let r = 5809/24510 + -3/817. Let w = 13/30 + r. Suppose 1/3*p**5 + 0 - 1/3*p**3 + 2/3*p**4 + 0*p - w*p**2 = 0. What is p?
-2, -1, 0, 1
Let u(c) be the first derivative of 2/21*c**3 - 6/7*c + 34 + 2/7*c**2. Factor u(b).
2*(b - 1)*(b + 3)/7
Let -806/9*x - 2/9*x**2 + 0 = 0. What is x?
-403, 0
Let t be 0*(1 - ((-6 - -3) + 3)). Let o = 6 + t. Determine y so that -y**2 + 0 - 5 - 15 + o*y**2 = 0.
-2, 2
Let u(o) = 878*o**2 + 3511*o. Let n be u(-4). Let x(p) be the second derivative of 0 + 3*p**2 - 7/6*p**3 + 2*p + 1/12*p**n. Factor x(z).
(z - 6)*(z - 1)
Let f(o) be the second derivative of o**4/18 + 320*o**3/3 + 76800*o**2 + 1166*o. Factor f(h).
2*(h + 480)**2/3
Let y(p) be the second derivative of -p**6/15 - 8*p**5/5 + p**4/2 + 50*p**3/3 + 32*p**2 - 11*p. Factor y(f).
-2*(f - 2)*(f + 1)**2*(f + 16)
Factor 5364*d - 4*d**4 - 2340*d - 136*d**3 + 3888 - 181*d**2 - 815*d**2.
-4*(d - 3)*(d + 1)*(d + 18)**2
Let i be (1 - 2)/(1/(-2)*1). Suppose 0 = 4*v + 3*k - 1, -i*k + 3*k - 11 = -4*v. Determine t so that 3*t**3 + t**v - 37*t**2 + 77*t**2 - 38*t**2 = 0.
-2, -1, 0
Let w be (-7600)/(-12084) - (-78)/2067. Suppose w*y**3 - 2/21*y**4 + 10/21*y + 0 - 22/21*y**2 = 0. Calculate y.
0, 1, 5
What is j in 1/2*j**2 - 11/2*j - 138 = 0?
-12, 23
What is y in -37*y**3 - 518*y**2 - 103*y**3 - 123*y + 778*y**4 - 43*y**5 + 220*y - 133*y - 41*y**5 = 0?
-2/3, -1/14, 0, 1, 9
Let m be (12/(-64)*4)/(1/(-4)). Determine o, given that -9*o**4 + 41*o**4 + 10*o**m - 24*o**4 + 4*o**2 + 2*o**5 = 0.
-2, -1, 0
Let z(s) = -14*s**3 - 2667*s**2 + 6807*s + 2170. Let a(j) = -28*j**3 - 4000*j**2 + 10212*j + 3256. Let q(u) = 5*a(u) - 8*z(u). Suppose q(o) = 0. What is o?
-2/7, 3, 45
Suppose 10 = -10*m + 30. Let 4*j**m - 59 - j + 55 + j = 0. Calculate j.
-1, 1
Let n(c) be the second derivative of -48/11*c**4 - 4*c + 1682/11*c**2 - 1/22*c**5 - 3 - 1363/11*c**3. Factor n(p).
-2*(p + 29)**2*(5*p - 2)/11
Let h(l) = l**4 + 26*l**3 + 173*l**2 + 398*l + 2. Let b(k) = 2*k**4 + 52*k**3 + 340*k**2 + 795*k + 5. Let f(y) = 6*b(y) - 15*h(y). Let f(u) = 0. What is u?
-16, -5, 0
Let u(s) = 9*s**2 - 48*s + 6. Let k(r) = -7*r + 30. Let i be k(5). Let l(c) = 8*c**2 - 48*c + 5. Let f(z) = i*u(z) + 6*l(z). Find g, given that f(g) = 0.
0, 16
Let p be (8 + 261/(-36))*((-4224)/(-45))/16. Find o such that p*o + 8/5 + 2/5*o**3 + 18/5*o**2 - 2/5*o**4 = 0.
-1, 4
Solve 183*w**3 + 570*w**2 + 1397*w + 327 + 179*w**3 + 3*w**4 - 26*w**3 + 420*w**2 - 413*w = 0 for w.
-109, -1
Find f such that 37*f**3 - 128 - 40*f**2 - 2*f**5 - 192*f + 327*f**4 - 321*f**4 - 5*f**3 = 0.
-2, -1, 4
Let r(v) be the first derivative of v**4/3 + 4*v**3/3 - 16*v**2 + 112*v/3 - 1496. Suppose r(g) = 0. Calculate g.
-7, 2
Let r(s) be the first derivative of -3*s**3 + 1299*s**2/8 - 27*s + 1204. Solve r(m) = 0.
1/12, 36
Let t(i) be the third derivative of 0*i**5 + 0*i**4 + 5/1008*i**8 + 8/63*i**7 - 4*i**2 + 0*i**3 + 0*i**6 + 0 + 45*i. Let t(m) = 0. Calculate m.
-16, 0
Let z be (-16)/(-88)*(552/(-115) + 7). Factor 42/5*y - 44/5 + z*y**2.
2*(y - 1)*(y + 22)/5
Suppose -124 + 44 = -20*r. Suppose -3*p - 2*d = -8 - 0, -r*p + 34 = -2*d. Factor -p*g**2 + 3*g + 3/2*g**4 - 3*g**3 + 9/2.
3*(g - 3)*(g - 1)*(g + 1)**2/2
Let x(y) = 2*y**3 + 12*y**2 + 4*y - 27. Let n be x(-5). Factor 79*o**3 + 60*o**2 - 173*o**n + 52 + 90*o**3 - 108*o.
-4*(o - 13)*(o - 1)**2
Let g(j) be the third derivative of 4*j**3 + 0 + 3*j - 3/4*j**4 + 1/20*j**5 + 2*j**2. Factor g(i).
3*(i - 4)*(i - 2)
Let x be (28 + -35 + 7)/(-7). Suppose 0 + 0*s + x*s**2 + 1/4*s**3 = 0. What is s?
0
Let u(b) = 3*b + 55. Let p be u(-17). Find n, given that n**5 + 279 + 45*n**p - 22*n - 6*n**5 + 3*n - n + 25*n**3 - 225*n**2 - 99 = 0.
-2, -1, 1, 2, 9
Let j(w) be the first derivative of 2*w**3/27 - 11*w**2 + 760*w/9 - 5403. Factor j(g).
2*(g - 95)*(g - 4)/9
Factor -3/4*s**2 + 2247/2*s - 1683003/4.
-3*(s - 749)**2/4
Suppose 288 = -42*o + 50*o. Factor 2*u**4 + o*u - 19*u + 2*u**3 - 17*u - 4*u**4.
-2*u**3*(u - 1)
Let u(p) = 5*p**3 + 81*p**2 + 783*p + 2447. Let i(o) = 76*o**3 + 1216*o**2 + 11740*o + 36704. Let g(f) = -6*i(f) + 92*u(f). Find s, given that g(s) = 0