t t be (-42)/(-28)*(-1 + 3). Find o, given that 9/2 - 3/2*o**4 - 6*o**t + 6*o - 3*o**2 = 0.
-3, -1, 1
Let l be (4 - -142)/(121/(-22) - -18). Find m, given that -294/25*m + 686/25 - 42/25*m**4 + l*m**3 + 2/25*m**5 - 644/25*m**2 = 0.
-1, 1, 7
Suppose -o = 1 - 10. Suppose o*v = 8*v + 4. Suppose 2 + 6*w + 2*w**2 - 4 - 2*w**3 - v*w = 0. Calculate w.
-1, 1
Factor -3/2*b + 3/2*b**2 - 30.
3*(b - 5)*(b + 4)/2
Factor -28608*b + 28613*b + 13*b**4 + 12*b**4 - 45*b**3 + 15*b**2.
5*b*(b - 1)**2*(5*b + 1)
Let a(s) be the first derivative of s**5/30 + s**4/6 + s**3/6 + 110. Factor a(k).
k**2*(k + 1)*(k + 3)/6
Let z(o) be the first derivative of -16/15*o**3 + 18/5*o - 2/5*o**4 + 7 + 3/5*o**2. Find q such that z(q) = 0.
-3/2, 1
Let g = -29878/45 + 664. Let s(o) be the first derivative of g*o**5 + 0*o + 0*o**3 - 1/18*o**4 - 4 + 0*o**2. Factor s(b).
2*b**3*(b - 1)/9
Let f(b) be the second derivative of 1/50*b**5 - 27/5*b**2 + 0 - 3/10*b**4 + 23*b + 9/5*b**3. Factor f(q).
2*(q - 3)**3/5
Suppose 25*c = 865 - 765. What is h in 0*h**3 + h**2 - 1/2*h**c + 0*h - 1/2 = 0?
-1, 1
Let w(i) = -i - 4. Let o be w(-6). Suppose -o*d - d = -6. Solve u**3 + d*u**2 - 2*u**3 - 3*u**2 + 0*u**2 = 0.
-1, 0
Factor 0 + 3/2*d - 5/4*d**2 + 1/4*d**3.
d*(d - 3)*(d - 2)/4
Let m = -3165/4 - -795. Let t(f) be the first derivative of 1/4*f**6 - 11 + 3/2*f + m*f**2 + 3/2*f**5 + 5*f**3 + 15/4*f**4. Find s such that t(s) = 0.
-1
Let x be 144/189 - 12/28. Let u(o) be the first derivative of -x*o + 1/6*o**3 + 1/4*o**2 + 1/10*o**5 + 4 - 7/24*o**4. Find f, given that u(f) = 0.
-2/3, 1
Suppose -4*l + 3*f = -27, 0*f = 2*l - f - 11. Suppose -z + 45 = 2*z. Let -26*u**3 - 5 + 15*u + 27*u**2 + 9*u + 2*u**l - z*u**4 - 7 = 0. Calculate u.
-2, -1, 2/5, 1
Let t = -8 + 12. Let s = -146 + 148. Factor -2 + n + n**3 + 5*n**2 - 14*n**3 + 2*n**4 + 3*n**4 + t*n**s.
(n - 1)**3*(5*n + 2)
Let w = 8/5503 + 98998/38521. Solve -2/7*d**2 - w + 12/7*d = 0.
3
Let c(o) = -2*o**5 - 5*o**4 + o**3 + 4*o**2 - 2*o + 4. Let m(y) = -y**5 - 4*y**4 + 4*y**2 - y + 2. Let f(g) = -2*c(g) + 3*m(g). Suppose f(i) = 0. Calculate i.
-1, 1, 2
Factor 50*i**3 - 165*i**2 + 19*i**4 + 218*i - 48 - 23*i + 5*i - 24*i**4 - 32.
-5*(i - 4)**2*(i - 1)**2
Let h be (981/654)/((-18)/(-8)). Solve -10/3*c + 8/3*c**2 - h*c**3 + 4/3 = 0 for c.
1, 2
Let q(m) = m - m**4 - 1 + m**3 + 6*m**2 + 0*m - m**2 - 4*m**2. Let s(b) = -b**4 - 2*b**3 + 4*b**2 + 10*b - 7. Let j(r) = 4*q(r) - s(r). Factor j(k).
-3*(k - 1)**3*(k + 1)
Let y(t) be the first derivative of 2*t**5/55 + 5*t**4/22 + 10*t**3/33 - 5*t**2/11 - 12*t/11 + 191. Let y(i) = 0. What is i?
-3, -2, -1, 1
Let j(y) be the first derivative of 2*y**6/3 + 92*y**5/5 + 190*y**4 + 2632*y**3/3 + 1666*y**2 + 1372*y - 20. Factor j(a).
4*(a + 1)**2*(a + 7)**3
Solve -2/3 - 23/6*m**3 + 5/6*m + 13/6*m**4 - 1/3*m**5 + 11/6*m**2 = 0 for m.
-1/2, 1, 4
Let r(y) = -2*y**4 - 12*y**3 - 26*y**2 - 22*y - 10. Let q(n) be the third derivative of n**4/24 - n**3/6 - 27*n**2. Let t(i) = -2*q(i) + r(i). Factor t(c).
-2*(c + 1)**2*(c + 2)**2
Let a(u) = -u**2 - 8*u + 13. Let k be a(-9). What is s in -k*s - 33*s**2 + s**2 + 16*s**2 = 0?
-1/4, 0
Let r = -51 + 51. Let v = -1 - -1. Solve -2/5*k**3 + v + r*k - 3/5*k**4 + 0*k**2 = 0 for k.
-2/3, 0
Let b(h) = -4*h - 48. Let s be b(-12). Let f(g) be the second derivative of s + 3/2*g**2 + 3*g + g**3 + 1/4*g**4. Factor f(u).
3*(u + 1)**2
Let p(z) be the second derivative of 0 + 1/15*z**5 - 1/2*z**2 - 3*z + 0*z**3 + 1/6*z**4. Let l(n) be the first derivative of p(n). Factor l(w).
4*w*(w + 1)
Solve 6 - 4/3*x**3 + 14*x**2 - 56/3*x = 0.
1/2, 1, 9
Factor 22/9*p**2 + 62/9*p + 4.
2*(p + 2)*(11*p + 9)/9
Solve -18/7*y - 2/7*y**2 - 16/7 = 0.
-8, -1
Let t(k) be the third derivative of -k**6/600 - k**5/12 + 29*k**4/30 - k**2 - 265*k. Solve t(v) = 0.
-29, 0, 4
Let u(n) be the third derivative of -n**5/15 + n**4/3 + 135*n**2. Factor u(f).
-4*f*(f - 2)
Let l(j) = -2*j**3 - j**2 + j. Let x(u) = -5*u**3 - 31*u**2 - 17*u. Let a(d) = -5*l(d) - x(d). Determine b so that a(b) = 0.
-2, -2/5, 0
Let s(i) be the second derivative of -1/20*i**4 - 9*i + 1/50*i**5 + 0 + 2/5*i**2 - 2/15*i**3 + 1/150*i**6. Factor s(x).
(x - 1)**2*(x + 2)**2/5
Let x(d) = -d**2 + 10*d + 11. Suppose -65 = -5*m - 2*f, -m + 0*m + 16 = f. Let n be x(m). Factor w - w**3 - 5*w + n*w**3 - 4*w**2.
-w*(w + 2)**2
Let n be 46/(-16) - (402/(-138) - (-2)/(-23)). Suppose -1/8*f**2 + 0 + n*f = 0. Calculate f.
0, 1
Let n(t) be the first derivative of -2*t**6/15 + 2*t**5/5 - 4*t**3/3 + 2*t**2 - 4*t - 20. Let r(x) be the first derivative of n(x). Factor r(w).
-4*(w - 1)**3*(w + 1)
Let s(g) be the first derivative of -g**5/10 + g**4/8 + 2*g**3/3 - g**2 + 22. Factor s(v).
-v*(v - 2)*(v - 1)*(v + 2)/2
Suppose 0 = 3*x - 74 - 67. Solve 67*k**5 - 24*k + 8*k + 72*k**4 + 68*k**3 - x*k**5 = 0.
-2, -1, 0, 2/5
Let u(v) be the first derivative of v**5/30 - v**4/3 - 11*v**2/2 - 18. Let b(a) be the second derivative of u(a). Determine z so that b(z) = 0.
0, 4
Factor 2 - 196*u**2 + 248*u - 111*u**3 - 2 + 115*u**3 + 64*u**2.
4*u*(u - 31)*(u - 2)
Find x, given that 2/3*x**2 + 4/3*x + 2/3 = 0.
-1
Suppose 0*k - 5*k + 5*s + 45 = 0, k = -s + 15. Solve 24*r - 9*r**5 + k*r**5 + 5*r**5 - 8 - 28*r**3 + 38*r**2 - 18*r**4 + 8*r**3 = 0.
-1, 1/4, 2
Suppose 0 = -0*k + k - 15. Let r = 18 - k. Find c, given that 4*c**2 - 4 - r*c - 2*c**2 + c**2 - 2 = 0.
-1, 2
Determine g, given that -1379*g**2 + 36 - 12*g + 1359*g**2 - 2*g**3 - 2*g**3 = 0.
-3, 1
Factor 0 - 60*y**3 + 33/2*y**4 + 72*y**2 - 3/2*y**5 + 0*y.
-3*y**2*(y - 4)**2*(y - 3)/2
Let x(i) = -6*i**4 + 208*i**3 + 2*i - 2. Let y(k) = -25*k**4 + 834*k**3 + 9*k - 9. Let h(b) = 9*x(b) - 2*y(b). Factor h(t).
-4*t**3*(t - 51)
Find u such that -10*u - 12*u + 8*u**3 + 2*u - u**3 - 2*u**3 = 0.
-2, 0, 2
Let x(w) be the first derivative of 9/5*w**5 - 3/2*w**4 + 0*w + 0*w**3 + 0*w**2 - 8. Factor x(b).
3*b**3*(3*b - 2)
Solve -8*b - 2/3*b**2 - 22/3 = 0.
-11, -1
Let r(o) be the first derivative of -o**6/12 + o**5/2 - 3*o**4/8 - 3*o**3/2 + 235. Factor r(u).
-u**2*(u - 3)**2*(u + 1)/2
Let n be (1380/(-135))/(-23)*(2 - -1). Find f, given that -4/3*f + 2/3 + 2*f**4 - 8/3*f**2 + n*f**3 = 0.
-1, 1/3, 1
Let z(m) be the third derivative of -12*m**2 + 4/525*m**7 - 2/75*m**5 + 0*m**4 - 1/50*m**6 + 0*m**3 + 0 + 0*m + 1/140*m**8. What is k in z(k) = 0?
-1, -2/3, 0, 1
Let m(y) = -y**2 + 2*y + 1. Let u(h) = 24*h**2 - 14*h - 54. Let n(s) = -44*m(s) - 2*u(s). Solve n(i) = 0 for i.
-16, 1
Let w(t) be the first derivative of -5*t**4/4 + 5*t**3 - 20*t - 74. Suppose w(d) = 0. Calculate d.
-1, 2
Let g(c) = -11*c**3 + 8*c**2 - 11*c + 7. Let f(k) = 6*k**3 - 4*k**2 + 6*k - 4. Let x be (-5)/((-5)/2)*(-35)/(-10). Let o(r) = x*f(r) + 4*g(r). Factor o(d).
-2*d*(d - 1)**2
Determine f so that -472/3*f + 2/3*f**2 + 27848/3 = 0.
118
Solve 16*h**2 - 73*h - 8*h - 27*h - 72 - 6*h - 6*h**2 = 0.
-3/5, 12
Suppose -2 = h + u, 0 = -5*h - 2*u - 4 - 0. Suppose -4/5*q - 4/5*q**2 + h = 0. Calculate q.
-1, 0
Let w(p) be the second derivative of -3*p**6/10 + 57*p**5/20 - 21*p**4/4 + 5*p**3/2 + 7*p + 3. Factor w(y).
-3*y*(y - 5)*(y - 1)*(3*y - 1)
Let i(l) be the second derivative of l**5/80 + l**4/12 - l**3/24 - l**2/2 + 5*l. Factor i(p).
(p - 1)*(p + 1)*(p + 4)/4
Let q(r) = r**2 - r - 12. Let s be q(5). Let 8*k**2 - 13*k**2 + s + 3*k**2 = 0. What is k?
-2, 2
Suppose 72 = t + 8*t. Suppose -24*n**4 - 20*n**2 + t*n - 65*n**3 + 12*n - n**4 = 0. Calculate n.
-2, -1, 0, 2/5
Let b be (-2961)/(-441) - (-1 - 5/(-7)). Let h be (b + -1 + -6)/((-2)/(-2)). Determine u, given that 0 + 1/5*u**2 + h*u - 1/5*u**3 = 0.
0, 1
Let n(q) = -q**2 + 8*q - 3. Let p be n(7). Suppose -p = 4*d - 12. Factor -m**3 + 0*m + 0*m**d + m**5 + 0 - 3/2*m**4.
m**3*(m - 2)*(2*m + 1)/2
Suppose 2*s = -5*q + 8, 2*q + 9 = 3*s - 3. Let g(f) be the first derivative of -f + 6 + q*f**2 + 0*f**4 - 1/5*f**5 + 2/3*f**3. Factor g(x).
-(x - 1)**2*(x + 1)**2
Let k(g) be the second derivative of g**9/756 - g**7/70 - g**6/45 + 3*g**3 + 10*g. Let o(b) be the second derivative of k(b). Factor o(m).
4*m**2*(m - 2)*(m + 1)**2
Let 6 + 30*q**2 - 2*q**4 + 11*q**2 + 3*q**5 - 24*q**3 - 28*q + 3*q**2 + q**5 = 0. Calculate q.
-3, 1/2, 1
Let k(h) be the first derivative of 0*h**2 - 15/4*h**4 + 5/3*h**3 + 1 + 3*h**5 - 5/6*h**6 + 0*h. Let k(t) = 0. What is t?
0, 1
Suppose -5*