/3
Suppose -165*t**2 + 40*t**2 + 29*t + 5*t**4 + 125*t**3 - 5*t**5 - 29*t = 0. What is t?
-5, 0, 1, 5
Let h(z) be the first derivative of -7*z**3 - 43*z**2/4 - z/2 - 307. Suppose h(f) = 0. What is f?
-1, -1/42
Let u be (-3)/(9/10)*(-33)/22. Factor -75*g**3 - 63*g**3 - 5*g**u - 60*g**4 + 83*g**3.
-5*g**3*(g + 1)*(g + 11)
Let o(q) = q**4 - 2*q**3 - q**2 + 13*q - 1. Let v(t) = 8*t**4 - 390*t**3 + 16884*t**2 + 91840*t + 112902. Let b(g) = -6*o(g) + v(g). Factor b(h).
2*(h - 97)**2*(h + 2)*(h + 3)
Factor -2/17*z**3 + 0 - 212/17*z - 214/17*z**2.
-2*z*(z + 1)*(z + 106)/17
What is k in 280*k**2 - 40*k**4 + 248*k**2 + 1763018*k**5 + 96*k**3 - 1763022*k**5 - 4*k**3 = 0?
-11, -3, 0, 4
Suppose 10 - 90 = -20*o. Factor -u + o*u + 8*u**2 + 3*u**3 - 14*u**2.
3*u*(u - 1)**2
Suppose t - 30*i + 32*i = 18, -4*t + 3*i + 61 = 0. Let b(s) = 5*s**3 - 82*s**2 + 31*s + 20. Let r be b(t). Determine z, given that -r - 2/3*z + 2/3*z**2 = 0.
-2, 3
Factor 8/3 - 37538/9*l**3 - 3296/9*l + 113710/9*l**2.
-2*(l - 3)*(137*l - 2)**2/9
Suppose -316*f + 2/3*f**2 - 950/3 = 0. What is f?
-1, 475
Factor -339/2*q + 3/2*q**3 - 351/2 + 15/2*q**2.
3*(q - 9)*(q + 1)*(q + 13)/2
Suppose -9*g + 252 = 12*g. Let s be ((-3)/(-11))/(g/16). Suppose 0*k + 2/11*k**4 + 0*k**2 + 0 + s*k**3 = 0. Calculate k.
-2, 0
Let f(a) be the second derivative of -a**6/90 + 19*a**5/60 + 19*a**4/3 + 328*a**3/9 + 224*a**2/3 + 364*a. Solve f(m) = 0 for m.
-4, -1, 28
Let n(c) = -10*c**2 + 65*c - 250. Suppose 3*i + 69 - 111 = 0. Suppose 8*r + i = 46. Let l(m) = 9*m**2 - 66*m + 249. Let v(z) = r*n(z) + 5*l(z). Factor v(p).
5*(p - 7)**2
Let a = 40023 + -120029/3. Solve -50/3*g**2 + a*g - 8/3 = 0 for g.
2/5
Let w(o) = 18*o**3 + 461*o**2 + 7478*o + 27065. Let h(r) = -28*r**3 - 692*r**2 - 11216*r - 40600. Let v(c) = 5*h(c) + 8*w(c). Solve v(d) = 0 for d.
-26, -5
Let k(s) = s**5 - 9*s**4 + 47*s**3 - 36*s**2 - 3*s + 3. Let c(h) = 3*h**4 - 2*h**2 - h + 1. Let g(u) = -3*c(u) + k(u). Find x, given that g(x) = 0.
0, 1, 2, 15
Let c(g) = 7*g**3 - 6*g**2 + 14*g. Let m(h) = 8*h**3 - 6*h**2 + 15*h. Let z(q) = -5*q - 79. Let a be z(-17). Let o(n) = a*m(n) - 7*c(n). Solve o(r) = 0 for r.
0, 2, 4
Let r(l) be the second derivative of l**5/4 - 1015*l**4/2 + 412090*l**3 - 167308540*l**2 + 7*l - 19. Factor r(o).
5*(o - 406)**3
Let 0 + 1/2*s**2 - 271*s = 0. What is s?
0, 542
Let h(n) = 217*n**3 + 6809*n**2 + 4771*n - 1909. Let t(a) = -56*a**3 - 1702*a**2 - 1193*a + 477. Let y(p) = -3*h(p) - 11*t(p). Let y(z) = 0. Calculate z.
-48, -1, 2/7
Let -207/4*k + 1/4*k**2 + 153 = 0. Calculate k.
3, 204
Let k = 623 + -425. Let -k*r - 8*r**4 + 182*r + 4*r**4 - 24*r**3 - 36*r**2 = 0. What is r?
-4, -1, 0
Factor 30*s + 5/3*s**4 - 35*s**2 + 10/3*s**3 + 0.
5*s*(s - 3)*(s - 1)*(s + 6)/3
Let y(p) be the second derivative of 3*p**5/20 + 39*p**4/2 - 162*p**3 - 131220*p**2 - 13751*p. Suppose y(c) = 0. Calculate c.
-54, 30
Let n be (1 - 1)/(-33 + 34). Let j(y) be the third derivative of -1/90*y**6 + 7/36*y**4 + 0*y + 1/6*y**3 + n - 6*y**2 + 7/180*y**5. Find m such that j(m) = 0.
-1, -1/4, 3
Let u(o) be the third derivative of -o**7/5880 - o**6/504 - o**5/210 - 31*o**3/2 + 90*o**2. Let v(q) be the first derivative of u(q). Solve v(r) = 0 for r.
-4, -1, 0
Let f(c) be the first derivative of -c**4/10 + 6*c**3/5 - 18*c**2/5 - 371. Let f(o) = 0. What is o?
0, 3, 6
Let i(u) be the first derivative of 27*u**3 - 3/4*u**4 - 38 + 2187*u - 729/2*u**2. Factor i(g).
-3*(g - 9)**3
Suppose 0 = 2*p + 5*j - 70, -146 + 118 = 63*p - 2*j. Solve 5/4*g**2 - 15/4*g**5 + p*g - 5/4*g**4 + 15/4*g**3 + 0 = 0.
-1, -1/3, 0, 1
Factor 326*v - 8*v**2 - 600 + 14*v**2 - 25*v**2 - 111*v + 14*v**2.
-5*(v - 40)*(v - 3)
Let -2/7*i**2 + 26/7*i - 80/7 = 0. Calculate i.
5, 8
Let a(p) be the third derivative of 1/21*p**7 + 11/150*p**5 + 0 + 1/5*p**6 - p**4 + 0*p + 48*p**2 - 12/5*p**3. What is c in a(c) = 0?
-6/5, -1, 1
Determine i, given that -2/3*i**5 + 334/9*i**3 + 368/9 - 28*i**2 + 124/9*i**4 - 568/9*i = 0.
-2, 2/3, 1, 23
Let r(u) be the second derivative of u**6/210 + u**5/14 - 4*u**4/21 - 29*u**3/21 - 33*u**2/14 + u + 81. Determine h so that r(h) = 0.
-11, -1, 3
Factor -407*a**3 + 9495 - 5*a**4 - 50*a**3 - 231*a**3 - 58480*a + 19405 + 30264*a**2 + 9*a**4.
4*(a - 85)**2*(a - 1)**2
Let s(u) = -8*u**3 + 46*u**2 + 114*u - 10. Let z(w) = -7*w**3 + 52*w**2 + 113*w - 9. Let g(y) = -9*s(y) + 10*z(y). Factor g(j).
2*j*(j + 1)*(j + 52)
Suppose 0 = -x - 4*j + 31, x - 138*j + 133*j + 32 = 0. Suppose 0*q + 1/2*q**x - 3*q**2 + 0 = 0. What is q?
0, 6
Let x(k) be the second derivative of -2*k**7/105 - 6*k**6/25 - 21*k**5/25 - 19*k**4/15 - 4*k**3/5 + 9*k + 28. Factor x(f).
-4*f*(f + 1)**3*(f + 6)/5
Let h = 2657 - 2657. Let i(p) be the third derivative of -2/15*p**5 + 6/35*p**7 + 0*p + 0*p**3 + 7/30*p**6 + 0 + 17*p**2 + h*p**4. Solve i(j) = 0.
-1, 0, 2/9
Let j(w) = 4*w**2 - 9*w. Suppose -4 = -4*n + 4. Let p = 123 + -118. Let d(v) = -2*v**2 + 4*v. Let u(a) = n*j(a) + p*d(a). Factor u(k).
-2*k*(k - 1)
Let h be 66/(-264) + 1671/180 - (7 + 2). Let f(q) be the second derivative of h*q**4 + 0 + 0*q**3 + 0*q**2 + 38*q - 1/20*q**5. Suppose f(b) = 0. Calculate b.
0, 2/5
Let h = 44141 - 44099. Let u(j) be the third derivative of 1/112*j**8 - 23/8*j**4 - 1/35*j**7 - 3*j**3 + h*j**2 - 8/5*j**5 - 9/20*j**6 + 0 + 0*j. Factor u(d).
3*(d - 6)*(d + 1)**4
Let p(g) be the third derivative of 0*g + 3*g**2 + 5 + 6728/3*g**3 - 58/3*g**4 + 1/15*g**5. Factor p(d).
4*(d - 58)**2
Let z = -695402/7 + 99350. Suppose -z + 46/7*u + 2/7*u**2 = 0. What is u?
-24, 1
Suppose -2*f - 75 = -16*f - 11*f. Let r(y) be the first derivative of 0*y + 23 - 3/2*y**f + 3/2*y**4 - 3/10*y**5 + 0*y**2. Factor r(o).
-3*o**2*(o - 3)*(o - 1)/2
Suppose -5*v = -d - 46, 101*v + 2*d + 1 = 98*v. Suppose -v*q**2 - 1/2*q**3 + 0 + 0*q = 0. Calculate q.
-14, 0
Let y be 18/45 + 98/5. Factor 777*s - 105*s**4 + 22*s**3 - 777*s + y*s**2 + 18*s**3.
-5*s**2*(3*s - 2)*(7*s + 2)
Let b(t) be the first derivative of -t**4/18 - 178*t**3/27 - 2024*t**2/9 - 3872*t/9 + 2000. Suppose b(c) = 0. Calculate c.
-44, -1
Let x = -116 - -308. Suppose 784 = 5*r - n, r + n = -40 + x. Determine o so that 108*o - r*o**2 - 281*o**2 - 699*o**2 - 160*o**2 - 3 + 5184*o**3 = 0.
1/12
What is n in 143/4*n**3 + 289/4*n**2 + 145/4*n + 0 - 1/4*n**4 = 0?
-1, 0, 145
Let x(s) be the second derivative of 1/2*s**3 + 0 - 3/20*s**5 + 0*s**4 + 155*s + 0*s**2. Suppose x(c) = 0. What is c?
-1, 0, 1
Let f(p) be the first derivative of -5/6*p**4 + 0*p - 31 - p**2 - 14/9*p**3 - 2/15*p**5. Suppose f(j) = 0. Calculate j.
-3, -1, 0
Let s = -11/1238 - -1293/6190. Let u(h) be the first derivative of 0*h + 0*h**4 + 0*h**2 + 24 + 3/25*h**5 - s*h**3. Factor u(l).
3*l**2*(l - 1)*(l + 1)/5
Suppose -18*s + 21*s = 57. Suppose -z - 5*k + s = -3, 0 = 3*z + 4*k - 22. Determine l so that 25*l - 5*l**3 + 10*l**2 + 0*l - 9*l**2 + 15 + 4*l**z = 0.
-1, 3
Factor -7 + 42 - 73*l + 37 + 4*l**2 - 5*l**2 + 2*l**2.
(l - 72)*(l - 1)
Let k = -2863768/13 + 220290. Solve 0 - k*c**5 - 32/13*c**3 + 0*c + 14/13*c**4 + 24/13*c**2 = 0 for c.
0, 2, 3
Let h(r) be the third derivative of r**8/13440 + 11*r**7/672 + 34*r**5/15 - 114*r**2. Let z(b) be the third derivative of h(b). Find v, given that z(v) = 0.
-55, 0
Let k(a) be the first derivative of a**4/66 - 17*a**3/33 - 38*a**2/11 - 196*a + 94. Let q(v) be the first derivative of k(v). Factor q(w).
2*(w - 19)*(w + 2)/11
Let p(k) = 2*k**2 + 7*k. Let c = -493 + 527. Let m(f) = -11*f**2 - 43*f. Let u(s) = c*p(s) + 6*m(s). Suppose u(z) = 0. Calculate z.
0, 10
Let o = 25 + -18. Let r = -5 + o. Factor -4*h - 4*h + 4 + 12*h + h**r.
(h + 2)**2
Let i be ((-24)/(-20))/((-2)/(1*-10)). Let v be (-1)/((-20)/i + (-3)/(-1)). Find g, given that 2 + 4*g**2 - 137*g**v + 133*g**3 - 6 + 4*g = 0.
-1, 1
Suppose -5*s - 2*k = 16 - 26, 10 = 5*s - 3*k. Factor 3*n**2 + 77*n + 15*n + 12*n + 57*n**s + 4*n**3.
4*n*(n + 2)*(n + 13)
Let g(x) be the first derivative of x**5/20 - 2*x**3 - 8*x**2 - 11*x - 119. Let f(v) be the first derivative of g(v). Factor f(t).
(t - 4)*(t + 2)**2
Let x be (3/2796)/((-3)/(-36)). Let j = 3713/1165 + x. Factor j*s**3 - 8*s**2 - 3/5 - 23/5*s.
(s - 3)*(4*s + 1)**2/5
Factor 11/9*w**3 + w**4 - 8/3 - 70/9*w**2 - 124/9*w.
(w - 3)*(w + 2)**2*(9*w + 2)/9
Let f(s) be the third derivative of 0 - 60*s**2 - 1/10*s**4 - 1/2