236/(-295). Let -12/5*i + t*i**3 - 42/5*i**2 + 24/5 - 9/5*i**4 = 0. What is i?
-2/3, 1, 2
Let c = 1519/3035 - 3/6070. Let x(w) be the first derivative of -22 + c*w**2 + 0*w - 1/20*w**5 + 7/12*w**3 + 1/8*w**4. Let x(d) = 0. Calculate d.
-1, 0, 4
Let l(d) = -23*d**4 - 52*d**3 + 573*d**2 - 2384*d + 1844. Let b(o) = 4*o**4 + o**3 + 2. Let r(f) = -6*b(f) - l(f). Determine k so that r(k) = 0.
1, 8, 29
Suppose -3*b + 12 = -3*p, 3*b - 15*p = -16*p + 4. Let j(f) be the third derivative of 10*f**b + 0 + 0*f**3 + 0*f + 1/24*f**4 + 1/120*f**5. Factor j(i).
i*(i + 2)/2
Determine y, given that 18 - 182/5*y - 2/5*y**3 + 94/5*y**2 = 0.
1, 45
Let g(b) = 6*b**2 + 17*b + 6. Let r be g(-3). Suppose -15*l - 44*l**2 + 0*l + r*l + 8*l**2 - 10*l + 4*l**4 + 48 = 0. Calculate l.
-2, 1, 3
Let p(h) be the second derivative of -h**6/24 + 5*h**5/12 - 5*h**4/3 + 10*h**3/3 - 12*h**2 + 19*h. Let n(w) be the first derivative of p(w). Factor n(b).
-5*(b - 2)**2*(b - 1)
Let t(c) = -7*c - 5*c**3 - c**2 + 8 + 3*c**3 + 9*c**3 + 3. Let a(x) = 8*x**3 - x**2 - 8*x + 13. Let z(i) = 5*a(i) - 6*t(i). Suppose z(y) = 0. Calculate y.
-1, 1/2, 1
Let n = -123 + 119. Let g(a) = -9*a**2 - 30*a - 44. Let i(t) = -55*t**2 - 180*t - 265. Let r(c) = n*i(c) + 25*g(c). Solve r(h) = 0.
-4, -2
Let v(t) = 7*t**2 - 30*t. Let s(l) = -2*l**2. Let w = 652 + -657. Let c(a) = w*s(a) - v(a). Factor c(d).
3*d*(d + 10)
Let n(i) be the third derivative of -i**7/42 + 83*i**6/24 - 27*i**5/2 + 2*i**2 - 42*i. Determine f so that n(f) = 0.
0, 2, 81
Let w(o) be the second derivative of -o**5/5 - 15*o**4 + 92*o**3/3 - 666*o - 3. Factor w(a).
-4*a*(a - 1)*(a + 46)
Let h(z) be the second derivative of -z**5/20 - 7*z**4/6 - 61*z**3/6 - 42*z**2 - 2*z + 763. Let h(g) = 0. What is g?
-7, -4, -3
Let o(d) be the second derivative of d**5/60 - d**4/18 + 652*d. Factor o(j).
j**2*(j - 2)/3
Determine y so that 276/5*y**2 + 4/5*y**3 - 568/5*y + 0 = 0.
-71, 0, 2
Let j(a) be the first derivative of a**5/330 + 3*a**4/22 - 36*a**2 - 149. Let w(p) be the second derivative of j(p). Factor w(d).
2*d*(d + 18)/11
Let l be 141*(-188)/(-357858) - (-1276)/270. Factor l*p**2 - 9*p + 9/5*p**3 + 12/5.
3*(p - 1)*(p + 4)*(3*p - 1)/5
Determine k, given that 39632*k - 495*k**3 - 32*k**4 + 79*k**4 + 10920*k**2 - 42*k**4 + 27968*k = 0.
-5, 0, 52
Let s(w) be the third derivative of -w**5/60 - 299*w**4/24 + 202*w**3 - 891*w**2. Determine b, given that s(b) = 0.
-303, 4
Let m = -58 + 62. Let w(l) be the first derivative of 29*l**3 + m*l**4 - 17*l**3 + 4*l**2 - 4 - 3 + 3. Factor w(b).
4*b*(b + 2)*(4*b + 1)
Let y = 366 - 827. Let t = y - -461. Let 3/4*k**3 + t - 3/2*k**2 + 3/4*k = 0. What is k?
0, 1
Let o = 761 + -759. Factor 3575*n**o - 37*n - 152*n**2 + 3301*n**2 + 693*n + 16.
4*(41*n + 2)**2
Let k(g) be the third derivative of -g**6/30 - 41*g**5/60 - 23*g**4/12 - 3*g**3/2 - 27*g**2 - 13. Suppose k(m) = 0. What is m?
-9, -1, -1/4
Let p(i) = -46*i + 186. Let m be p(4). Let -12*b**4 - m*b**5 + 22*b**2 - 6*b + 14*b**4 - 8*b**3 + 14*b + 26*b**3 = 0. What is b?
-1, 0, 4
Let l(w) be the second derivative of -w**5/4 + 10*w**4 - 215*w**3/2 + 425*w**2 - 1788*w + 1. Let l(u) = 0. Calculate u.
2, 5, 17
Find w, given that -654*w**2 - 34 - 31*w**3 + 813*w - 28*w**3 - 10*w**3 - 92 + 36*w**3 = 0.
-21, 2/11, 1
Let s(g) = -g**3 + 5*g**2 - 237*g + 2. Let a be s(0). Solve -16/3*i**4 - 16/3*i**5 + 8/3*i**a - 28/3*i + 8/3 + 44/3*i**3 = 0 for i.
-2, -1, 1/2, 1
Let s(z) be the third derivative of -z**5/30 - 91*z**4/60 - 34*z**3/5 + 1056*z**2. Factor s(p).
-2*(p + 17)*(5*p + 6)/5
Let d(h) be the third derivative of h**5/390 - h**4/26 - 55*h**3/39 - 537*h**2. Let d(m) = 0. Calculate m.
-5, 11
What is d in -780273*d - 1/2*d**4 - 175*d**3 - 20358*d**2 + 1601613/2 = 0?
-117, 1
Let v(b) be the first derivative of -b**6/30 - 36*b**5/25 - 53*b**4/4 + 502*b**3/5 + 4066*b**2/5 + 8664*b/5 + 6461. What is a in v(a) = 0?
-19, -2, 6
Factor -17016*b - 19012*b + 3760 + 37898*b - 5*b**2.
-5*(b - 376)*(b + 2)
Let m(r) = -155*r**2 - 922*r + 51. Let h be m(-6). What is a in 2/3*a**h + 4/3*a - 11/3*a**2 + 5/3 = 0?
-1/2, 1, 5
Suppose -824*s = -203*s - 3105. Let 2/3*i**s + 2/3*i**2 - 2/3*i**4 + 0 - 2*i**3 + 4/3*i = 0. What is i?
-1, 0, 1, 2
Suppose 6*u + 13 = 4*b + u, 2*b + 3*u - 1 = 0. Factor 35*q - 90*q + 23*q - 2*q**2 + 6*q**b.
4*q*(q - 8)
Let u(h) be the third derivative of -3/25*h**5 + 0*h**4 + 0*h - 17 + 0*h**3 - h**2 - 1/175*h**7 - 1/20*h**6. Factor u(k).
-6*k**2*(k + 2)*(k + 3)/5
Let g(y) = -3*y**2 + 6*y + 19. Suppose -v - 4*z + 15 = 0, 2*v = 3*v + 5*z - 18. Let n(x) = 2*x**2 - 3*x - 11. Let d(r) = v*g(r) + 5*n(r). Solve d(m) = 0 for m.
-2, -1
Suppose -10*u + 989 = 959. Factor -50/7*g**u - 2/7*g**5 - 16/7 - 16/7*g**4 - 8*g - 76/7*g**2.
-2*(g + 1)**2*(g + 2)**3/7
Let l(i) = i**3 + 12*i**2 - 567*i + 1090. Let z be l(2). Factor z*v + 3/2*v**2 + 24.
3*(v + 4)**2/2
Let l(y) be the first derivative of -y**6/30 + 7*y**4/12 + y**3 + 33*y - 36. Let f(h) be the first derivative of l(h). Factor f(j).
-j*(j - 3)*(j + 1)*(j + 2)
Let h(r) = -2*r**3 + 178*r + 186*r - 6*r**3 - 138 - 239*r**2 + 21*r**3. Let v(j) = j**3 + 2*j**2 - 2*j - 1. Let s(k) = h(k) + 2*v(k). Factor s(p).
5*(p - 14)*(p - 1)*(3*p - 2)
Let o = -928926 - -928931. Solve 64/11*v**2 + 0 + 16/11*v**4 + 32/11*v + 2/11*v**o + 48/11*v**3 = 0 for v.
-2, 0
Let b(n) be the second derivative of -10*n + 2/75*n**5 - 4/45*n**3 - 1/225*n**6 - 1/30*n**4 + 4/15*n**2 - 6. Determine d, given that b(d) = 0.
-1, 1, 2
Let v = 9790 - 9790. Let m(k) be the third derivative of 0*k - 8*k**2 + 0 - 1/26*k**4 + v*k**3 + 1/78*k**5 - 1/780*k**6. Determine d, given that m(d) = 0.
0, 2, 3
Let b(d) be the third derivative of 0*d + 0 - 11/8*d**4 - 50*d**2 + 6*d**3 - 1/20*d**5. Determine z so that b(z) = 0.
-12, 1
Suppose -599*p + 8 = -601*p - 3*b, -5*b = -5*p + 30. Find t such that 16*t + 192 + 1/3*t**p = 0.
-24
Let q(o) be the third derivative of o**7/1470 + o**6/70 - o**5/210 - 3*o**4/14 + 151*o**3/6 + 186*o**2. Let r(g) be the first derivative of q(g). Factor r(y).
4*(y - 1)*(y + 1)*(y + 9)/7
Let h(y) be the second derivative of -y**4/72 - 2*y**3/3 + 25*y**2/12 + 673*y. Suppose h(w) = 0. Calculate w.
-25, 1
Let g(q) be the third derivative of q**7/504 - q**6/144 - 47*q**4/24 - q**2 + 8*q. Let p(k) be the second derivative of g(k). Suppose p(a) = 0. Calculate a.
0, 1
Let b(c) be the second derivative of 8*c**7/35 - 58*c**6/75 - 4*c**5/25 + 11*c**4/5 - 16*c**3/15 - 8*c**2/5 + 1660*c. Determine i, given that b(i) = 0.
-1, -1/4, 2/3, 1, 2
Let c(z) = -16*z + 54. Let j be c(4). Let y be ((-4 - j) + 14)*(-5)/(-26). Factor -2/13*s**2 + 20/13*s - y.
-2*(s - 5)**2/13
Let t = 900 + -892. Suppose -271*u + t*u**2 - u**3 + 140*u + 140*u = 0. What is u?
-1, 0, 9
Suppose -16 = -8*m + 7*m. Suppose 13 = 2*q + q - y, 4*y + m = 0. Find j, given that -2*j**q + j**2 + 15*j**2 - 3*j**3 - 31*j**2 = 0.
-3, 0
Let q = 39 - 7. Suppose q*i = 36*i - 12. Factor -9/2*v**2 - 5/2*v**i - 1/2*v**4 - 7/2*v - 1.
-(v + 1)**3*(v + 2)/2
Let f(v) be the first derivative of 0*v**2 - 6 - 1/5*v**5 + v**4 - 5*v - 4/3*v**3. Let w(t) be the first derivative of f(t). Factor w(r).
-4*r*(r - 2)*(r - 1)
Suppose 9*z + 4 = 5*z. Let q be 3/(z + -2)*0. Suppose q*a**2 - a**2 - 15*a - 6*a**2 + 2*a**2 = 0. What is a?
-3, 0
Let p = -394 + 396. Factor 46*v**2 + 721*v**3 + p*v**4 + 48*v**2 - 118*v + 48 - 747*v**3.
2*(v - 8)*(v - 3)*(v - 1)**2
Let q(k) be the second derivative of 0 + 4/7*k**2 + 4/21*k**4 + 10/21*k**3 + 16*k + 1/35*k**5. Factor q(o).
4*(o + 1)**2*(o + 2)/7
Let r(j) be the first derivative of -117*j**4/28 - 3659*j**3/7 - 4470*j**2/7 - 1116*j/7 + 974. Determine q so that r(q) = 0.
-93, -2/3, -2/13
Let i(f) be the first derivative of f**6/24 + 67*f**5/10 + 2241*f**4/8 - 236*f**3/3 - 32227*f**2/8 - 13467*f/2 + 1981. Let i(z) = 0. What is z?
-67, -2, -1, 3
Factor -1/3*w**4 - 28 - 124/3*w + 14*w**3 + w**2.
-(w - 42)*(w - 2)*(w + 1)**2/3
Let p(d) be the first derivative of -d**4/3 + 136*d**3/9 - 130*d**2/3 + 128*d/3 - 3774. Factor p(w).
-4*(w - 32)*(w - 1)**2/3
Let b = 19221/2 + -9610. Find r such that b*r**2 + 3 + 7/2*r = 0.
-6, -1
Suppose -453*n - 3*a + 9 = -458*n, a - 3 = 0. Let g(v) be the first derivative of 13 + 0*v + 5/4*v**4 + n*v**2 - 5*v**3. Suppose g(p) = 0. What is p?
0, 3
Let f(d) be the second derivative of 