y) = -2*y**3 + 2*y + 1. Let g(i) = 5*c(i) + 15*t(i). Factor g(m).
5*(m - 8)*(m - 1)*(2*m + 1)
Let g(r) be the third derivative of r**5/480 + 45*r**4/32 + 407*r**2 - 10. Find s such that g(s) = 0.
-270, 0
Suppose 21*r + 1089 = -12*r. Let u be (-3)/63*r/((-33)/(-3)). Determine y, given that 6/7*y**3 + u*y**4 - 8/7*y**2 + 1 - 6/7*y = 0.
-7, -1, 1
Let b = 962427/103117 - 5/309351. Suppose 4/3*z**5 + 16/3 - 4/3*z**3 + 0*z + 4*z**4 - b*z**2 = 0. Calculate z.
-2, -1, 1
Let c(i) be the first derivative of -2*i**6/3 + 33*i**5/5 + 28*i**4 + 98*i**3/3 + 6*i**2 - 11*i + 3532. Determine s, given that c(s) = 0.
-1, 1/4, 11
What is l in 39/7*l**3 + 24/7 + 3/7*l**5 - 3*l**4 - 3/7*l**2 - 6*l = 0?
-1, 1, 2, 4
Let x(s) be the second derivative of -s**4/48 + 49*s**3/24 - 47*s**2/4 - 2*s + 1330. Factor x(h).
-(h - 47)*(h - 2)/4
Let y(u) be the second derivative of -32*u - 5/24*u**4 + 0 - 1/6*u**5 + 0*u**3 - 1/24*u**6 + 39/2*u**2. Let a(n) be the first derivative of y(n). Factor a(q).
-5*q*(q + 1)**2
Let z be 5 - (6 + -5 + 1). Suppose -5 + 14 = z*g. Find w, given that -10 + 6*w**2 + 4*w**g - 2*w**4 + 6 - 2*w - 2*w**3 = 0.
-1, 1, 2
Let t(u) be the first derivative of -39 + 0*u**4 + 1/210*u**5 + 17*u**2 + 0*u + 0*u**3. Let k(f) be the second derivative of t(f). Factor k(z).
2*z**2/7
Suppose -133*f - 221 + 487 = 0. Factor 1/3*r**2 - f*r + 5/3.
(r - 5)*(r - 1)/3
What is v in 3/8*v**2 + 51/4*v - 585/8 = 0?
-39, 5
Let d = -15833 - -15833. Let a(x) be the third derivative of 30*x**2 - 5/14*x**4 - 1/140*x**6 + 11/70*x**5 + 0 + 0*x + d*x**3. Factor a(f).
-6*f*(f - 10)*(f - 1)/7
Let a(l) be the second derivative of 0 - 70/3*l**3 - 60*l**2 - 1/4*l**5 - 49*l - 25/6*l**4. Factor a(h).
-5*(h + 2)**2*(h + 6)
Let k(x) = 9*x**2 + 43*x + 78. Let p(u) = -20*u**2 - 85*u - 160. Let d(s) = 5*k(s) + 2*p(s). Let d(y) = 0. What is y?
-7, -2
Let p(t) be the second derivative of t**5/110 - 82*t**4/33 + 161*t**3/33 + 326*t**2/11 + 2*t - 2045. Determine j so that p(j) = 0.
-1, 2, 163
Let h(m) be the third derivative of 0 + 1/4*m**5 - 22*m**2 + 0*m**4 + 1/24*m**6 + 0*m + 0*m**3. Solve h(f) = 0 for f.
-3, 0
Let w = 1648 - 2339. Let h = w - -693. Determine n so that -1/5*n + 1/5 - 1/5*n**h + 1/5*n**3 = 0.
-1, 1
Let w be (4/(-8))/((-1)/16). Let a = -379 - -381. Solve 1 - w*i + 5 - 4 + 4*i**2 + a = 0.
1
Let f(z) be the first derivative of 1/840*z**6 + 3/140*z**5 + 0*z + 23/3*z**3 + 9/56*z**4 + 7 + 0*z**2. Let h(p) be the third derivative of f(p). Factor h(l).
3*(l + 3)**2/7
Let o(a) be the third derivative of 3*a**8/896 + 11*a**7/560 - 11*a**6/160 - 3*a**5/80 + 19*a**4/64 - 5*a**3/16 + 865*a**2. Determine w, given that o(w) = 0.
-5, -1, 1/3, 1
Let o(w) be the second derivative of -w**4/48 - 179*w**3/12 - 32041*w**2/8 - 2008*w. Let o(k) = 0. What is k?
-179
Factor -29 + 24*z**4 + 20*z**4 + 29 + 130*z**3 - 1352*z**2 + 2*z**5.
2*z**2*(z - 4)*(z + 13)**2
Factor -12*v**3 - 34/3*v**2 + 0 - 11/3*v - 14/3*v**4 - 1/3*v**5.
-v*(v + 1)**3*(v + 11)/3
Let d = 51582 - 103161/2. Find h, given that d*h + 6*h**4 + 0 + 9*h**3 + 6*h**2 + 3/2*h**5 = 0.
-1, 0
Let l(n) be the second derivative of n**5/12 - 10*n**3/3 - 111*n**2/2 + 231*n. Let z(m) be the first derivative of l(m). Determine d, given that z(d) = 0.
-2, 2
Let z(i) be the second derivative of 1/150*i**6 - 23/30*i**3 - 1/20*i**5 + 5*i + 16 - 7/20*i**4 - 4/5*i**2. Determine n, given that z(n) = 0.
-1, 8
Let o = 58975 - 530773/9. Factor -8/9*b**2 + 8/9 + o*b**3 - 2/9*b.
2*(b - 4)*(b - 1)*(b + 1)/9
Let f(v) be the first derivative of v**4/20 - 166*v**3/5 + 62001*v**2/10 - 3271. Determine o, given that f(o) = 0.
0, 249
Let p be 168/48*(-4)/(-7). Let o be (2 + (-14)/6)/(p/(-12)). Let 3666*u**5 + 2*u**3 - 3668*u**5 + 0*u**2 - 4*u**o + 4*u**4 = 0. Calculate u.
-1, 0, 1, 2
Let p(c) be the third derivative of 3*c**6/40 - 9*c**5/20 + 23*c**4/24 - 5*c**3/6 - 3622*c**2. Suppose p(s) = 0. What is s?
1/3, 1, 5/3
Let p(t) = t**2 - 54*t. Let x(n) = 710 + 650*n - 10*n**2 - 1422 + 712. Let z(s) = -25*p(s) - 2*x(s). Factor z(f).
-5*f*(f - 10)
Let x(p) be the third derivative of 1/6*p**6 + 0*p**3 + 7/15*p**5 - p**4 + 7 + 0*p + 14*p**2 + 1/84*p**8 - 2/15*p**7. Determine t so that x(t) = 0.
-1, 0, 1, 6
Let m(w) be the second derivative of 0 - 13/5*w**5 - 2/15*w**6 + 83*w + 1/4*w**4 + 13/2*w**2 + 20/3*w**3. Let m(n) = 0. Calculate n.
-13, -1/2, 1
Solve -86/11*r**2 - 342/11*r - 200/11 + 54/11*r**3 - 2/11*r**4 = 0 for r.
-1, 4, 25
Solve 1416/11*j**2 + 284/11*j**3 - 6/11*j**4 + 832/11 + 2064/11*j = 0 for j.
-2, -2/3, 52
Solve -6/7*a**5 + 228/7*a + 174/7*a**2 + 66/7*a**4 - 222/7*a**3 - 240/7 = 0.
-1, 1, 2, 4, 5
Let c(a) = 2*a**2 + 34*a - 400. Let l be c(8). Let f(x) be the second derivative of 2/9*x**3 + 1/36*x**4 + 5*x + l + 2/3*x**2. Find q such that f(q) = 0.
-2
Let a(l) be the first derivative of l**5/15 - l**4/3 + 2*l**3/3 - 39*l**2/2 + 79. Let f(j) be the second derivative of a(j). Factor f(k).
4*(k - 1)**2
Suppose -5*q - 55 = -3*v - 2*v, 4*q = -v + 6. Suppose -10 = -10*h + v. Solve -38*w + h*w**4 + 4*w**3 + 2*w**4 - 11*w**3 - 28*w**2 - 12 + 9*w**3 = 0.
-2, -1, -1/2, 3
Let t(l) be the third derivative of l**7/105 + l**6/60 - l**4/3 + 88*l**2 + 1. Let x(f) = -f**2. Let q(i) = -t(i) - 8*x(i). Factor q(b).
-2*b*(b - 2)*(b + 1)*(b + 2)
Suppose -2*x = 213*t - 211*t + 4, 6 = x - t. Let -5/2*d**x - 2 - 6*d = 0. Calculate d.
-2, -2/5
Suppose -88*r + 70 = -18*r. Let m be 4/(-4) + r - (-18)/45. Factor -3/5*n**3 - 1/5*n**4 - m*n + 0 + n**2 + 1/5*n**5.
n*(n - 1)**3*(n + 2)/5
Let t(a) be the first derivative of a**4/7 - 212*a**3/21 + 204*a**2/7 + 2750. Factor t(u).
4*u*(u - 51)*(u - 2)/7
Let n = 6518/11 + -45615/77. Solve 73/7*g - 74/7 + n*g**2 = 0 for g.
-74, 1
Let z = -1258299/11 + 114391. Find q, given that -4/11 - z*q**2 + 6/11*q = 0.
1, 2
Let c(k) be the second derivative of -2*k**5/5 + k**4/3 + 10*k**3 - 36*k**2 - 824*k. What is l in c(l) = 0?
-3, 3/2, 2
Let a(t) be the second derivative of 4*t - 7/9*t**2 - 1/6*t**4 - 28 - 5/9*t**3 - 1/90*t**5. Solve a(z) = 0 for z.
-7, -1
Suppose 4952 = 26*w - 1236. Let j = w + -238. Factor 5/2*t + 5/2*t**2 + j.
5*t*(t + 1)/2
Let g(v) = 13*v**2 + 110*v - 614. Let m(d) = 7*d**2 + 110*d - 611. Let y(l) = 2*g(l) - 3*m(l). Factor y(a).
5*(a - 11)**2
What is f in -528/17 + 2/17*f**3 + 86/17*f**2 - 100/17*f = 0?
-44, -2, 3
Suppose -3*t = -4*r - 8*t + 85, 2*r + t - 41 = 0. Find g such that -411*g - r*g**3 - 15*g**2 + 209*g + 207*g = 0.
-1, 0, 1/4
Factor -232/21*z - 2*z**2 - 64/7 - 2/21*z**3.
-2*(z + 1)*(z + 8)*(z + 12)/21
Let d be (-48 + 9072/196)/(((-30)/56)/1). What is v in 68/5*v + 16/5 + d*v**2 = 0?
-4, -1/4
Determine p so that -28/11*p**4 - 1098/11*p**2 + 1/11*p**5 + 1296/11*p + 0 + 277/11*p**3 = 0.
0, 2, 8, 9
Let k = 149/3 + -49. Let a = -15739 - -15742. Suppose k*n**2 - 4/3*n + 0 + 4/3*n**a - 2/3*n**4 = 0. Calculate n.
-1, 0, 1, 2
Suppose 8*q + 2371 = 2499. Let d(a) be the second derivative of -7/11*a**4 + 1/10*a**5 - q*a + 12/11*a**3 + 0 + 8/11*a**2. Factor d(c).
2*(c - 2)**2*(11*c + 2)/11
Find l such that 25538/9 + 452/9*l + 2/9*l**2 = 0.
-113
Let n(y) = -15*y**3 - 32*y**2 + 8*y + 11. Let h(v) = -7*v**3 - 15*v**2 + 4*v + 6. Let w(q) = -13*h(q) + 6*n(q). Factor w(p).
(p - 2)*(p + 2)*(p + 3)
Let u(c) be the second derivative of c**4/8 + 276*c**3 + 228528*c**2 + 2078*c. Let u(a) = 0. What is a?
-552
Let n = 929 + -230. Suppose 0 = 707*b - n*b - 16. Factor -2/7*r**b + 0 + 8/21*r**3 - 2/21*r.
2*r*(r - 1)*(4*r + 1)/21
Let s(j) = j**2 + 3*j + 1. Let u(r) = -130*r**2 - 1645*r + 615. Let t(m) = 15*s(m) - u(m). Factor t(o).
5*(o + 12)*(29*o - 10)
Let -4/11*n**2 + 2/11 - 2/11*n**5 + 4/11*n**3 + 2/11*n**4 - 2/11*n = 0. What is n?
-1, 1
Let 129/4*b**2 + 141 - 3/4*b**3 + 138*b = 0. What is b?
-2, 47
Let r be (2/(-6))/((-246)/2214). Let o(a) be the first derivative of -2 - a**2 + 3*a - 1/3*a**r. Factor o(z).
-(z - 1)*(z + 3)
Let g be 7/35 + 456/20. Factor -5*i**3 + 6*i**5 + g*i**2 - 5*i**4 - i**5 - 18*i**2.
5*i**2*(i - 1)**2*(i + 1)
Let v(f) be the third derivative of -7*f + 1/6*f**5 + 0*f**3 - 1/42*f**7 - 1/24*f**6 + 0*f**4 + 0 - 8*f**2. Determine w, given that v(w) = 0.
-2, 0, 1
Let p be (1 - (-3 - -5 - 1))/(-1). Suppose p = 60*w - 84*w + 48. Solve 1/7*g**5 + 1/7*g + 2/7*g**4 - 2/7*g**3 + 2/7 - 4/7*g**w = 0.
-2, -1, 1
Let a be ((-42)/(-2) + 0)*(-16)/6. Let o