0.
2/13, 1/2, 2/3, 3
Let g(a) be the third derivative of -507*a**5/5 + 26*a**4 - 8*a**3/3 - 93*a**2. What is i in g(i) = 0?
2/39
Let h(d) be the first derivative of -2*d**3/45 - d**2/3 - 4*d/5 + 447. Solve h(w) = 0.
-3, -2
Let o be (8/3)/((-16)/(-24)). Let r be 3/12 - (-11)/o. Find y such that 2*y**3 - 3*y**3 + 9*y**2 + 4*y**r - 12 = 0.
-2, 1
Let o(a) = -5*a - 5. Let x be o(-4). Let p = -12 + x. Suppose 2*i**5 + i**p + 3*i**3 - 2*i**3 - 4*i**4 = 0. Calculate i.
0, 1
Let p(i) be the second derivative of -i**8/448 + i**6/80 - i**4/32 + 15*i**2/2 - 2*i. Let u(v) be the first derivative of p(v). Factor u(s).
-3*s*(s - 1)**2*(s + 1)**2/4
Let o be (7 - (-324)/(-60)) + (-10)/(-25). Factor 2/21*v**3 - 4/21 + 4/21*v**o - 2/21*v.
2*(v - 1)*(v + 1)*(v + 2)/21
Let w be ((-76)/(-266))/(44/14). Let g(h) be the second derivative of -2/33*h**3 + w*h**2 + 5*h + 0 + 1/66*h**4. Solve g(y) = 0.
1
Let f(c) = -3*c + 2. Let b be f(-3). Let v = b - 11. Factor 10*s**2 - 4 - 3*s**3 - 2*s + 0*s - s**3 + v*s.
-2*(s - 2)*(s - 1)*(2*s + 1)
Let d(n) be the second derivative of 3/2*n**3 - 17/4*n**4 - 3*n + 0 + 9/10*n**6 + 0*n**2 + 63/20*n**5. Factor d(b).
3*b*(b + 3)*(3*b - 1)**2
Let h(l) be the third derivative of -16*l**2 - 1/48*l**4 + 0*l + 1/480*l**6 + 0 - 1/280*l**7 + 1/80*l**5 + 1/1344*l**8 + 0*l**3. Solve h(b) = 0.
-1, 0, 1, 2
Let a(j) = j**2 - 56*j - 67. Let o(z) = -z**2 + 57*z + 66. Let r(c) = 4*a(c) + 5*o(c). What is p in r(p) = 0?
-1, 62
Let -2/7*l**4 - 58/7*l**3 + 232/7*l + 432/7 - 100/7*l**2 = 0. Calculate l.
-27, -2, 2
Factor 5770 - 5678 + 23*m + 14*m**2 + 303*m.
2*(m + 23)*(7*m + 2)
Suppose 6*u + x + 2 = 5*u, -4*u - 2*x = 4. Let c(y) be the second derivative of -1/2*y**2 + 9*y - 1/12*y**4 + u - 1/3*y**3. Factor c(p).
-(p + 1)**2
Let a = -359 - -7543/21. Let y(h) be the first derivative of a*h**6 + 2 + 2/7*h - 18/35*h**5 + 16/21*h**3 + 1/7*h**4 - 6/7*h**2. Solve y(l) = 0 for l.
-1, 1/4, 1
Let a be 3/(-81)*-3 - (-111)/(-1080). Let v(f) be the third derivative of 0*f**3 + 5*f**2 + 0*f**4 + a*f**6 + 0 + 0*f**5 + 0*f. Factor v(k).
k**3
Suppose -7*k + 2*k + 195 = 0. Suppose -10*t - 9 + k = 0. Solve t*p**2 - 27/7*p + 6/7 = 0.
2/7, 1
Suppose 4*w + 5*p - 95 = -18, -4*p = 3*w - 57. Find f, given that -3*f**2 + 3*f**2 + 64*f**5 - w*f**4 - 9*f**4 + 4*f**3 = 0.
0, 1/4
Let o(f) be the third derivative of 0 + 1/30*f**6 - 1/5*f**5 - 2/3*f**3 + 0*f + 1/2*f**4 + f**2. Factor o(h).
4*(h - 1)**3
Suppose 15*h + 22 = 14*h. Let i = -19 - h. Determine u, given that 1/2*u**4 + 2*u + i*u**2 + 2*u**3 + 1/2 = 0.
-1
Let c(l) = -155*l**5 + 144*l**4 - 35*l**3 - 3*l**2 - 7*l + 7. Let a(h) = 78*h**5 - 72*h**4 + 18*h**3 + h**2 + 3*h - 3. Let u(j) = 7*a(j) + 3*c(j). Factor u(d).
d**2*(3*d - 1)**2*(9*d - 2)
Let w(i) be the first derivative of -5*i**3/6 + 45*i**2/4 - 50. Solve w(n) = 0 for n.
0, 9
Factor 132*y**3 - 4620*y + 7*y**4 - 61*y**3 + 139*y**3 - 2*y**4 + 2420 + 1985*y**2.
5*(y - 1)**2*(y + 22)**2
Suppose 187*h - 189*h + 8 = 0. Solve -2*l**3 - 10*l**2 - 20*l - 11*l**3 + h*l**4 - 26*l**2 + l**3 = 0.
-1, 0, 5
Let x(v) be the first derivative of -v**7/105 - v**6/20 + v**4/3 + 8*v**2 - 22. Let c(s) be the second derivative of x(s). Suppose c(m) = 0. What is m?
-2, 0, 1
Factor 294*w**2 - 32 + 589*w**3 + 69*w**4 - 254*w**3 + 31*w**4 + 32*w.
(w + 2)*(4*w - 1)*(5*w + 4)**2
Suppose -10*p = -3*p - 35. Suppose -4*h + 2 = p*k - 0*k, h - 13 = 5*k. Solve 12/5*j**h + 0 + 2/5*j + 8/5*j**2 + 2/5*j**5 + 8/5*j**4 = 0 for j.
-1, 0
Let w be 0 - 12/(-5 + 3). Let d be (-14)/30 + w/9. Factor d*p**3 - 3/5*p**2 + 2/5*p + 0.
p*(p - 2)*(p - 1)/5
Suppose -5*c = -5*d, -6 = -3*d - 0*d + c. Factor -3*u**3 - 3*u**d - 12*u + 12*u**2 + 3*u**3.
-3*u*(u - 2)**2
Let f(y) be the second derivative of y**4/12 - 31*y**3/9 + 20*y**2/3 + 160*y. Determine p so that f(p) = 0.
2/3, 20
Let i be ((14/(-63))/2)/(14/(-21)). Let x(g) be the second derivative of 1/36*g**4 + 0 - 11*g - i*g**3 + 1/3*g**2. Solve x(f) = 0 for f.
1, 2
Let b(y) be the first derivative of -y**6/2 + 33*y**4/4 - 18*y**3 + 12*y**2 - 181. Let b(r) = 0. Calculate r.
-4, 0, 1, 2
Let g(r) = -r**2 - 9*r + 27. Let f be g(-11). Let j be 4/f + (-2)/15. Factor 4/9*t**3 + j*t**4 + 0 + 0*t + 2/9*t**5 + 0*t**2.
2*t**3*(t + 1)*(t + 2)/9
Find f such that 1/4*f**4 + 0 + 11*f**3 + 121*f**2 + 0*f = 0.
-22, 0
Let v(y) = 3*y**2 + 3*y + 2. Let l be v(-1). What is b in -2*b**2 - 5*b**4 + 0*b**2 + 7*b**l = 0?
-1, 0, 1
Suppose 0 = -82*s + 3*s + 267 - 109. Factor 2/5*w**s + 8/5 - 8/5*w.
2*(w - 2)**2/5
Let n(i) be the first derivative of -1/22*i**4 - 14/11*i**3 - 147/11*i**2 + 13 - 686/11*i. Find u, given that n(u) = 0.
-7
Let o(c) = c**3 + c + 1. Let g = -113 + 118. Let x(d) = -11*d**3 + 2*d**2 + 11*d + 3. Let t(q) = g*o(q) + x(q). Factor t(n).
-2*(n - 2)*(n + 1)*(3*n + 2)
Let t(y) be the second derivative of 3*y**5/80 + y**4 + 29*y**3/8 + 21*y**2/4 + 337*y. Solve t(f) = 0.
-14, -1
Let t be (10*(-2 - (-12)/10))/(-3). Let r(f) be the first derivative of -t*f**3 - 13/5*f**2 + 1 - 9/10*f**4 - 4/5*f. Factor r(o).
-2*(o + 1)**2*(9*o + 2)/5
Let j(g) = -7*g**2 + 26*g + 3. Let t(x) = -2*x**2 - x + 1. Let r(z) = -j(z) + 3*t(z). Find h, given that r(h) = 0.
0, 29
Let a be (1/3)/(16/336). Factor -a*i - 18*i**3 - 3*i + i - 2 - 15*i**2 + 7*i**3 - 3*i**4.
-(i + 1)**3*(3*i + 2)
Let d(f) be the second derivative of -3*f**5/140 + 5*f**4/28 - f**3/7 - 12*f**2/7 - 104*f. Solve d(v) = 0 for v.
-1, 2, 4
Let q(g) be the third derivative of -g**7/315 + g**6/60 - g**4/9 - 18*g**2 - 1. Determine d so that q(d) = 0.
-1, 0, 2
Let -147/4*p**3 - 135/4*p**2 - 33/4*p + 3/2 - 51/4*p**4 = 0. Calculate p.
-1, 2/17
Let q(s) be the second derivative of s**4/48 - 29*s**3/6 + 841*s**2/2 + 69*s + 1. Factor q(i).
(i - 58)**2/4
Let d(m) = -m**2 - 7*m - 10. Let k be d(-5). Solve 3*o**3 - 8*o**5 + 11*o**5 - 4*o**4 + k*o**4 - 2*o**4 = 0.
0, 1
Let s(p) = -2*p**2 + p - 2. Let o(v) = -3*v**3 - 57*v**2 - 6*v + 12. Let r(g) = o(g) - 18*s(g). Factor r(c).
-3*(c - 1)*(c + 4)**2
Let t be 18/(-8)*4/(-3). Let 8*s**2 - 9*s**4 + 3*s**3 - t*s - 3*s + s + s = 0. What is s?
-1, 0, 2/3
Let c = 8 - 4. Let p(f) = 5*f - 2. Let l be p(c). Factor -l + 4*b + b**2 + 0*b + 21.
(b + 1)*(b + 3)
Let t(u) = 5*u**2 - 4*u + 18. Let h(o) = -6*o**2 + 3*o - 17. Let d(p) = -6*h(p) - 7*t(p). What is m in d(m) = 0?
-12, 2
Let o(g) = -6 + 12 + 16*g**3 - 17*g**3 + 5*g**2. Let a(y) = y**3 - 6*y**2 - 7. Let i(n) = 6*a(n) + 7*o(n). Factor i(f).
-f**2*(f + 1)
Suppose 5*b = 3*a - 4*a + 9, 5*b - 3*a - 13 = 0. Suppose -6/13*g - 4/13 - 2/13*g**b = 0. Calculate g.
-2, -1
Suppose -2 - 2 = -3*t + 5*y, 3*t - 6 = 3*y. Factor 6*q**3 - 1 - q**3 - 15*q + 0*q**t - 9.
5*(q - 2)*(q + 1)**2
Let o = 121 - 43. Let p be 0 - 4/o*-6. Factor -4/13*g**3 + 2/13*g**4 + 0*g**2 + p*g - 2/13.
2*(g - 1)**3*(g + 1)/13
Let s(i) be the first derivative of i**4 + 4*i**3/3 - 10*i**2 + 12*i - 90. Determine z so that s(z) = 0.
-3, 1
What is j in 6/5*j + 2/5*j**4 - 6/5*j**3 - 4/5 + 2/5*j**2 = 0?
-1, 1, 2
Suppose -52 = -2*q + 2*y, -142 + 38 = -4*q - 4*y. Let d = -24 + q. Factor -p**d + 4*p - 5*p**3 - p**2 - 10*p**2 + 17*p**3 - 4*p**4.
-4*p*(p - 1)**3
Let a(k) = 2*k**3 + 8*k**2 - 11*k - 1. Let z be a(-5). Suppose 5*n - 6*i = -11*i + 20, z*i = -n + 7. Find y such that -n - 3/2*y + 3*y**2 + 3/2*y**3 = 0.
-2, -1, 1
Let m(k) = k**3 + k**2 + 5. Let q be m(0). Factor -112 - 13 - q*a**2 + 46*a + 4*a.
-5*(a - 5)**2
Let t(j) be the first derivative of j**4 + 0*j + 18 + 4/5*j**5 - 2/3*j**6 + 0*j**2 - 4/3*j**3. Factor t(n).
-4*n**2*(n - 1)**2*(n + 1)
Let w = -5872932288/1345 + 4366492. Let h = -2/269 - w. Factor 512/5*l - h*l**4 - 192/5*l**2 - 512/5 + 32/5*l**3.
-2*(l - 4)**4/5
Let d(c) be the first derivative of c**5/2 - 85*c**4/24 + 35*c**3/6 - 5*c**2/4 - 10*c/3 + 14. Suppose d(k) = 0. What is k?
-1/3, 1, 4
Let s(t) be the second derivative of t**7/21 + 31*t**6/60 + 7*t**5/5 - 2*t**4/3 - 150*t. Factor s(k).
k**2*(k + 4)**2*(4*k - 1)/2
Let m(n) = -3*n**3 - 43*n**2 - 38*n. Let b(z) = 11*z**3 + 171*z**2 + 151*z. Suppose -3*f + v = -1, 3*v - 17 = -f - 0*f. Let y(t) = f*b(t) + 9*m(t). Factor y(u).
-5*u*(u + 1)*(u + 8)
Let p(y) = -16*y**2 - 428*y + 878. Let k(v) = 6*v**2 + 142*v - 293. Let o(m) = -14*k(m) - 5*p(m). Let o(t) = 0. What is t?
2, 36
Let a(g) be the second derivative of 1/24*g**4 + 0 - 1/60*g**5 + 3*g**2 - 5*g +