mine x, given that q(x) = 0.
-3, -2, -1
Let s(p) be the third derivative of 1/1008*p**8 + 1/210*p**7 + 0 + 2/3*p**3 - 1/72*p**6 + 1/18*p**4 + 0*p - 1/12*p**5 + 42*p**2. Solve s(h) = 0.
-3, -2, -1, 1, 2
Suppose -10*v = -11*v - 18. Let b(h) = h**3 + 19*h**2 + 19*h + 20. Let f be b(v). Let 5*i**2 - 3*i + 0*i**f - 4*i**2 = 0. Calculate i.
0, 3
Solve -f**5 + 3*f**4 + 107*f**4 - 74185*f**2 + 24477*f**3 + 6*f**5 - 22400*f + 73500 - 2082*f**3 + 575*f**4 = 0 for f.
-70, -1, 1, 3
Let t be 1/((-8)/128*-2) + 720/(-108). Solve t*p**3 - 44/3*p + 16/3*p**2 + 8 = 0 for p.
-6, 1
Factor -y**4 + 405 - 10*y**3 + 118*y - 1256*y**2 + 116*y + 1268*y**2.
-(y - 5)*(y + 3)**2*(y + 9)
Let q(r) be the first derivative of -r**5/20 + r**4/2 + r**3/12 - r**2 + 870. Let q(b) = 0. What is b?
-1, 0, 1, 8
Let u(x) be the second derivative of x**7/126 + 8*x**6/9 + 19*x**5/15 - 121*x**4/18 - 397*x**3/18 - 79*x**2/3 - 341*x + 1. Let u(w) = 0. What is w?
-79, -1, 2
What is p in 88*p**4 + 104*p**3 - 292*p**2 - 102*p - 2*p**5 - 46 + 78 + 164 + 8*p**4 = 0?
-2, -1, 1, 49
What is z in 1/3*z**3 + 128/3*z + 22*z**2 + 0 = 0?
-64, -2, 0
Let o(x) = 284*x**2 + 112*x + 4. Let v(d) = 7*d - 9. Let r be v(2). Let g(u) = -u**2 + 2*u - 1. Let t(s) = r*g(s) - o(s). Suppose t(m) = 0. Calculate m.
-3/17
Factor 87/2*n + 3/2*n**2 - 45.
3*(n - 1)*(n + 30)/2
Suppose -4*x = x - 32215. Determine z so that -6447*z**2 + 12*z + 7 + x*z**2 + 9 = 0.
-1, 4
Let p(c) = 6*c**2 + 18210*c + 27144195. Let w(h) = -7*h**2 - 18264*h - 27144196. Let n(g) = 4*p(g) + 3*w(g). Factor n(s).
3*(s + 3008)**2
Let x(m) be the third derivative of 178*m**2 + 1/168*m**8 + 0*m**5 + 0 + 0*m + 0*m**3 - 2/105*m**7 + 0*m**4 + 0*m**6. Factor x(a).
2*a**4*(a - 2)
Suppose 5*s + 2*h = -0*h - 120, 5*h = 0. Let k be 6/s*(20/4 - 7). Determine u so that 0 - u - k*u**3 + 3/2*u**2 = 0.
0, 1, 2
Let q be ((-1057)/(-604))/(1/(-8)) + (21 - 4). Solve 184/7*w**2 - 4232/7*w - 2/7*w**q + 0 = 0.
0, 46
Let y(g) = -4*g**2 + g + 1. Let d be (-3 - -2) + 56/28. Let o(z) = -35*z**3 - 50*z**2 + 8*z + 4. Let s(r) = d*o(r) + 4*y(r). Factor s(u).
-(u + 2)*(5*u - 2)*(7*u + 2)
Suppose -c + 0*c + 418 = -2*c - 28*r, 3*r + 45 = 0. Factor 8/3 - 1/3*y**c + 7/3*y.
-(y - 8)*(y + 1)/3
Let v(z) = z**3 - 27*z**2 - 30*z + 60. Let m be v(28). What is x in 9 + 664*x**2 + 1056*x + 8*x**m + 96*x**3 - 106 + 186 - 4*x**4 + 395 = 0?
-11, -1
Factor -694/7 + 8/7*f**2 + 2774/7*f.
2*(f + 347)*(4*f - 1)/7
Let v(t) be the first derivative of -t**3 + 9/2*t**2 + 68 + 30*t. Suppose v(h) = 0. Calculate h.
-2, 5
Let x(v) be the second derivative of v**6/2520 + v**5/168 - 79*v**3/6 + 6*v. Let n(z) be the second derivative of x(z). Factor n(a).
a*(a + 5)/7
Let d = 2387803/258140 + -2/64535. Factor d*t**3 + 47/4*t + 5/4*t**4 + 69/4*t**2 + 5/2.
(t + 1)**2*(t + 5)*(5*t + 2)/4
Solve 78/5*q + 69/5*q**2 - 144/5 - 3/5*q**3 = 0 for q.
-2, 1, 24
Let v = 563109 - 563107. Find o, given that 31/2*o + 16 - 1/2*o**v = 0.
-1, 32
Solve 0 - 18/5*g + 2/5*g**2 = 0 for g.
0, 9
Let x be (468/(-10))/(-3) + (487 - 485 - 12/1). Determine t, given that -6/5*t**4 + 58/5*t**2 - 16/5 + x*t + 8/5*t**3 = 0.
-2, -1, 1/3, 4
Let p(u) be the third derivative of u**11/665280 + u**10/403200 - u**9/483840 - 61*u**5/60 - 66*u**2. Let g(q) be the third derivative of p(q). Factor g(n).
n**3*(n + 1)*(4*n - 1)/8
Let w(n) = -n**2 + 11*n - 8. Let f be w(4). Suppose -4*g = -f + 12. Factor 5*q**3 + 16*q - 21*q**4 + 48*q**g - 4*q + 10*q**3.
-3*q*(q - 2)*(q + 1)*(7*q + 2)
Let r(w) be the third derivative of w**5/20 - 213*w**4/2 + 90738*w**3 - 302*w**2 - 4*w. Determine n, given that r(n) = 0.
426
Let j = 1 - -1. Let r be 56/6*30/7. Let -r*w - 3*w**j - 43*w - 6 + 74*w = 0. What is w?
-2, -1
Let b = -46067/3 + 15365. Let 22/9*s**3 + 128/9*s - b*s**2 - 2/9*s**4 - 64/9 = 0. What is s?
1, 2, 4
Let t(b) be the first derivative of -b**3/3 - 55*b**2/2 - 106*b - 1200. Factor t(h).
-(h + 2)*(h + 53)
Let l(z) = 0*z**3 + 3*z**2 + 2*z**2 - z**3 + 3 - 6*z**2. Let y be l(0). Factor 42*a**2 - a**y + 47*a**2 - 85*a**2.
-a**2*(a - 4)
Let p(s) be the third derivative of 0 - 7/120*s**6 + 0*s**3 + 7/24*s**4 - 1/60*s**5 + 19*s**2 + 0*s + 1/210*s**7. Determine i, given that p(i) = 0.
-1, 0, 1, 7
Find f such that 12458872*f**3 + 2*f**5 - 5*f - 12458859*f**3 + 2*f**4 - 3*f**5 + 5*f + 10*f**2 = 0.
-2, -1, 0, 5
Let h(q) be the first derivative of -5/12*q**2 - 1/72*q**4 + 1/6*q**3 + 14 + 38*q. Let b(c) be the first derivative of h(c). Solve b(o) = 0 for o.
1, 5
Factor 3/7*o**3 + 0 + 4*o**2 - 12/7*o - o**4.
-o*(o - 2)*(o + 2)*(7*o - 3)/7
Let n(o) be the first derivative of 2*o**5/25 - 3*o**4/10 - 2*o**3/15 + 3*o**2/5 - 418. What is u in n(u) = 0?
-1, 0, 1, 3
Suppose -2*l + 601 = o + 563, -3*l - 9 = -4*o. Solve 1/8*a**4 + 23/4*a**2 - 15/8*a**3 - 16 + o*a = 0 for a.
-2, 1, 8
Let u(z) be the first derivative of 145/2*z**4 + 658*z**3 + 14/5*z**5 - 1372*z + 28 + 2107*z**2. Let u(d) = 0. What is d?
-7, 2/7
Suppose 12082*d + 8043 = 12465*d. Solve 15 - 39/2*u + d*u**3 - 3*u**4 - 3/2*u**5 - 12*u**2 = 0.
-5, -1, 1, 2
Suppose 6241/2 + 80*i**3 + 3279*i**2 + 1/2*i**4 + 6320*i = 0. Calculate i.
-79, -1
Let g be (-6 + 7)/(1/16). Factor -11*w**3 - 5*w**4 + g*w**3 + 0*w**3.
-5*w**3*(w - 1)
Let f be (5*(-3)/(-45))/(13/26 + 8 + -8). Let 34/3 - f*i**2 - 32/3*i = 0. Calculate i.
-17, 1
Factor -6/11*a**3 - 5994/11 - 4050/11*a - 702/11*a**2.
-6*(a + 3)**2*(a + 111)/11
Let x(w) be the first derivative of -3*w**7/70 + w**6/8 - 7*w**5/60 + w**4/24 - 4*w**2 + 3*w + 56. Let q(g) be the second derivative of x(g). Factor q(n).
-n*(n - 1)*(3*n - 1)**2
Let f(b) be the first derivative of b**6/24 - 17*b**5/20 + 93*b**4/16 - 187*b**3/12 + 79*b**2/4 - 12*b - 438. Factor f(o).
(o - 8)*(o - 6)*(o - 1)**3/4
Let w(r) be the first derivative of 8*r**3 + 23*r**2 + 24*r - 32. Let c(u) = u**3 + u**2 + u - 1. Let h(a) = -2*c(a) - 2*w(a). Let h(k) = 0. Calculate k.
-23, -1
Let b(p) be the first derivative of p**4/4 - 17*p**3/2 - 30*p - 108. Let q(d) be the first derivative of b(d). Suppose q(o) = 0. Calculate o.
0, 17
Let v(u) be the first derivative of -1/2*u**4 - 10/7*u**3 + 0*u - 9/7*u**2 - 2/35*u**5 + 49. Factor v(f).
-2*f*(f + 1)*(f + 3)**2/7
Suppose 5*o - s - 7529 = 0, 872 = o + 5*s - 613. Suppose o = 11*f + 1483. Factor -5/2*n**f + 5/2 + 5/2*n**3 - 5/2*n.
5*(n - 1)**2*(n + 1)/2
Let a = 137/195 - 24/65. Factor -8/3*s + 2*s**2 + 0*s**3 + 1 - a*s**4.
-(s - 1)**3*(s + 3)/3
Let o(v) be the first derivative of 2*v**5/5 - 49*v**4/5 + 34*v**3 + 518*v**2/5 + 64*v - 10496. Suppose o(a) = 0. What is a?
-1, -2/5, 5, 16
Factor 1912*w - 1723*w - 31869*w + 472*w**3 + 716*w**2 - 476*w**3 - 32400.
-4*(w - 90)**2*(w + 1)
Let v(f) be the first derivative of -2*f**5/75 - 19*f**4/30 + 148*f**3/5 + 1460. Factor v(a).
-2*a**2*(a - 18)*(a + 37)/15
Determine b so that 36/7*b**2 + 546 - 135*b + 3/7*b**3 = 0.
-26, 7
Let t(r) be the third derivative of r**7/105 - r**6/15 - r**5/6 + r**2 + 31*r + 11. Factor t(v).
2*v**2*(v - 5)*(v + 1)
Suppose 3*w - 12 = -2*q - 3, 0 = -3*w - 5*q + 9. Factor 23*g**3 + 3*g**4 + 23*g**2 + 2*g**4 + 53*g - 33*g + 17*g**2 + 2*g**w.
5*g*(g + 1)*(g + 2)**2
Let k = 162 + -158. Find s such that 35*s**k - 8*s**2 + 2*s + 18*s**5 + 155*s**3 - 11*s**4 - 79*s**3 - 80*s**3 = 0.
-1, 0, 1/3
Let z(y) = y**2 + 28*y - 110. Let l be z(-32). Factor 2/5*b**4 - 20 + l*b - 18/5*b**3 + 26/5*b**2.
2*(b - 5)**2*(b - 1)*(b + 2)/5
Let z = 417 - 370. Factor 91*p**2 - 46*p**2 - 3872 + 176*p - z*p**2.
-2*(p - 44)**2
Factor 0 + 674/9*r**2 - 224/3*r - 2/9*r**3.
-2*r*(r - 336)*(r - 1)/9
Suppose -5 = -3*z + 25. Suppose -8*x + z*x = 2. Let -2 + 5 - 4*r - 82*r**2 + x + 83*r**2 = 0. What is r?
2
Let n(z) be the first derivative of z**5/30 + 5*z**4/12 + 4*z**3/3 + 3*z**2/2 + 22*z + 65. Let c(h) be the second derivative of n(h). Factor c(f).
2*(f + 1)*(f + 4)
Let p be (-10740)/(-75) + (-1)/((-5)/(-1)). Suppose -p*u**2 - u**3 + 143*u**2 - 10*u**5 - 9*u**3 + 25*u**4 = 0. What is u?
0, 1/2, 2
Let l(n) be the third derivative of -n**8/560 + n**7/350 + 17*n**6/200 - 17*n**5/100 - 2*n**4/5 + 8*n**3/5 - 2679*n**2. Solve l(b) = 0 for b.
-4, -1, 1, 4
Let p = 18 + 2. Factor -12*k + 4*k**2 - p*k - 19*k + 16 - 2*k**4 + 6*k**3 + 27*k.
-2*(k - 2)**2*(k - 1)*(k + 2)
Factor -24/7*u - 3/7*u**3 - 30/7*u**2 + 3/7*u**4 + 0.
3*u*(u - 4)*(u + 1)*(u + 2)/7
Let -17405 +