q + t + 1/3*q**2 = 0 for q.
-2, -1
Let o be (-2)/(-4) - (-6)/4. Let a = -6 - -10. Determine z so that 12*z**3 + 8*z**2 + 3*z + 8*z**a + 3*z - 4*z + o*z**5 = 0.
-1, 0
Let f(i) be the first derivative of 9/2*i**2 - 3*i**3 + 5 - 3*i + 3/4*i**4. Suppose f(m) = 0. What is m?
1
Let t(c) = -16*c**5 - 22*c**4 + 2*c**3 + 18*c**2 + 18*c. Let n(l) = -l**5 - l**4 + l**2 + l. Let b(q) = -36*n(q) + 2*t(q). Let b(p) = 0. What is p?
0, 1
Let n(k) = 2*k**2 - 8*k + 3. Let d be n(7). Suppose 2*w = -5*c + 50, -5*c = 4*w - 3*w - d. Factor -8*j - j**2 + c*j.
-j**2
Let q(c) be the second derivative of -c**4/66 - 2*c**3/33 - c**2/11 + 5*c. Let q(t) = 0. What is t?
-1
Suppose 270*k = 274*k. Determine w so that 0*w + 2/7*w**4 - 6/7*w**3 + k + 4/7*w**2 = 0.
0, 1, 2
Let g(h) = 4*h**4 + 10*h**3 - 7*h - 7. Let f(s) = -s**4 - 3*s**3 + 2*s + 2. Let d be (-2)/9 + (-280)/(-45). Let k(o) = d*g(o) + 21*f(o). Factor k(x).
3*x**3*(x - 1)
Let t = -1289 + 6511/5. Factor 12*c**3 + 2/5*c**5 - 92/5*c**2 + t*c - 18/5*c**4 - 18/5.
2*(c - 3)**2*(c - 1)**3/5
Let l(f) be the third derivative of -f**8/1680 + f**7/840 + f**3/2 - 5*f**2. Let u(s) be the first derivative of l(s). Factor u(y).
-y**3*(y - 1)
Suppose -3*x - 1 + 7 = 0. Suppose 0 = -4*n - 12, -14 = -2*d - 0*d + 2*n. Determine f so that 3*f**2 - 4*f**2 + 3*f**x + 2 + d*f = 0.
-1
Let j(g) be the first derivative of 19/20*g**5 - 17/12*g**3 + 1/16*g**4 - 11/8*g**2 + 1 - 1/2*g + 5/12*g**6. Find w such that j(w) = 0.
-1, -1/2, -2/5, 1
Suppose 0 = 6*i - 2*i - 16. Factor 6*d + 2 + 0*d + 6*d**3 + 6*d**2 - i*d**3 + 0.
2*(d + 1)**3
Suppose -3*f + f = -2. Let z(q) = -q. Let t(n) = -n. Let p(m) = -m**2 - m + 1. Let d(b) = -2*p(b) + 3*t(b). Let i(y) = f*d(y) - z(y). Solve i(j) = 0.
-1, 1
Determine l so that -4 + 2*l + 282*l**3 - 284*l**3 + 3 + l**4 = 0.
-1, 1
Factor 0*z**2 + z**5 - 2*z + 0*z**2 - 3*z**5 + 4*z**3.
-2*z*(z - 1)**2*(z + 1)**2
Let i(q) be the second derivative of q**6/15 - q**5/5 - q**4/2 + 4*q**3/3 + 4*q**2 + q. Determine d, given that i(d) = 0.
-1, 2
Let m(j) be the third derivative of j**5/210 + j**4/84 - 8*j**2. Find q such that m(q) = 0.
-1, 0
Let t(u) be the first derivative of -1/3*u**3 - 5 + 0*u + 1/2*u**2 - 1/4*u**4 + 1/5*u**5. Let t(w) = 0. What is w?
-1, 0, 1
Let i(u) be the second derivative of 0*u**2 + 0*u**4 + 0 - 3/20*u**5 + 5*u + 0*u**3. Suppose i(c) = 0. What is c?
0
Let g(j) = 3*j**2 + 3*j - 4. Let n be g(-3). Let m be 7/2 + (-21)/n. What is o in 0*o**m + 1/4*o**3 + 0 + 0*o + 1/4*o**4 = 0?
-1, 0
Suppose -5*t + 2 = -4*t. Find i such that -i**t + i**3 + 2*i**2 + 0 - 1 - i = 0.
-1, 1
Let p = -49 - -54. Let g(d) be the second derivative of -3/2*d**3 + 3/2*d**2 - 3*d + 0*d**4 + 0 + 3/5*d**p. Factor g(h).
3*(h + 1)*(2*h - 1)**2
Let b be -1*95/(-20) + -1*4. Let 0 + 3/4*d**2 + 0*d + b*d**3 = 0. Calculate d.
-1, 0
Let o(a) be the first derivative of -a**5/270 + a**4/27 - 4*a**3/27 - 3*a**2/2 - 8. Let u(b) be the second derivative of o(b). Factor u(w).
-2*(w - 2)**2/9
Let c(u) be the second derivative of -u**5/110 + u**4/66 + u**3/33 - u**2/11 - 6*u. Factor c(x).
-2*(x - 1)**2*(x + 1)/11
Let p(y) = -y**5 - 8*y**4 - 8*y**3 - 7*y**2 + 3*y + 3. Let t(n) = -n**5 - 9*n**4 - 8*n**3 - 8*n**2 + 4*n + 4. Let z(s) = -4*p(s) + 3*t(s). Factor z(j).
j**2*(j + 1)*(j + 2)**2
Let r = 5 - 3. Factor -2*z**r + z + 1 + 4 + z**3 - 5.
z*(z - 1)**2
Let f(q) be the first derivative of -q**5 + 5*q**4/4 + 20*q**3/3 - 10*q**2 + 24. Factor f(u).
-5*u*(u - 2)*(u - 1)*(u + 2)
Let a be 2*3*(-1)/(-2). Let z(w) = w**3 + 4*w**2 - 13*w - 6. Let i be z(-6). Factor i*u**2 - 2/3*u + 0 + 2/3*u**a.
2*u*(u - 1)*(u + 1)/3
Factor 3/7 - 9/7*q**2 + 6/7*q.
-3*(q - 1)*(3*q + 1)/7
Let r = 14 + -14. Let n = 2 + r. Suppose 2/3 + 14/3*c + 10/3*c**3 + 22/3*c**n = 0. What is c?
-1, -1/5
Factor 8*v**3 - 223*v**2 + 3*v**3 + 221*v**2.
v**2*(11*v - 2)
Let w be 113/(-6) - (-6)/4. Let i = w + 18. Let 0*h**4 - 4/3*h**3 + 0 + 0*h**2 + 2/3*h + i*h**5 = 0. Calculate h.
-1, 0, 1
Determine s, given that -3*s**2 + 0*s**2 - 98 - 145 + 54*s = 0.
9
Suppose -4*k = -3*g - 0*g - 19, 0 = 5*k + g - 19. Factor -20*c - 4*c**k - 8*c**4 - 7*c**4 + 3*c**4 + 4*c**5 + 8 + 16*c**3 + 8*c**2.
4*(c - 2)*(c - 1)**3*(c + 1)
Factor 2/7 + 3/7*t - 3/7*t**3 - 1/7*t**4 - 1/7*t**2.
-(t - 1)*(t + 1)**2*(t + 2)/7
Suppose -15 = -12*y + 9. Let t = -2 - -4. Factor -2*s**y + 0*s**2 + 3*s**3 + 2*s**t.
3*s**3
Suppose -4/7 + 0*o + 4/7*o**2 = 0. What is o?
-1, 1
Let y be (-2 + 1)*2/(-1). Suppose 4 = 5*z - 3*z. Factor c - 6*c**3 - 3*c + 0*c - y*c**4 - 6*c**z.
-2*c*(c + 1)**3
Let n(a) be the third derivative of -a**8/84 + 2*a**6/15 - 2*a**5/15 - a**4/2 + 4*a**3/3 - 5*a**2. Factor n(h).
-4*(h - 1)**3*(h + 1)*(h + 2)
Factor -22/5*i**2 - 58/15*i**3 - 4/15 - 2*i - 6/5*i**4.
-2*(i + 1)**3*(9*i + 2)/15
Let z = 158 - 154. Let s(v) be the second derivative of -1/70*v**5 - 1/21*v**z + 2/7*v**2 + 0 + 2*v + 1/21*v**3. Find o, given that s(o) = 0.
-2, -1, 1
Let v(f) be the third derivative of -f**6/24 - 7*f**5/60 + f**4/24 + 3*f**2. Let z(m) = -4*m**3 - 6*m**2. Let q(h) = 2*v(h) - 3*z(h). Factor q(x).
2*x*(x + 1)**2
Suppose -13 = c - 2. Let a(b) = 13*b**2 + 17*b - 7. Let o(n) = 7*n**2 + 9*n - 4. Let u(x) = c*o(x) + 6*a(x). Factor u(m).
(m + 1)*(m + 2)
Let x = 118 + -299. Let u = -1265/7 - x. Factor -8/7*f + 8/7 + u*f**2.
2*(f - 2)**2/7
Let o(w) be the third derivative of -w**8/168 + w**7/21 - 2*w**6/15 + 2*w**5/15 - 8*w**2. Find f such that o(f) = 0.
0, 1, 2
Let f = -119/4 - -30. Solve 0 - 1/2*n**2 + 1/4*n**3 + f*n = 0.
0, 1
Suppose -27 = -5*s - 7. Let p(c) be the first derivative of -1/2*c**s - 2 + 0*c + 0*c**2 + 2/3*c**3. Factor p(x).
-2*x**2*(x - 1)
Let m(l) be the first derivative of 0*l - 2/55*l**5 + 0*l**3 + 0*l**4 + 0*l**2 + 4. Suppose m(c) = 0. Calculate c.
0
Factor -8/3*a - 80/3*a**3 - 12*a**4 + 0 - 52/3*a**2.
-4*a*(a + 1)**2*(9*a + 2)/3
Let g(y) = -4*y**5 + 7*y**4 + 11*y**3 + 7*y**2 + 7. Let w(o) = -2*o**5 + 4*o**4 + 6*o**3 + 4*o**2 + 4. Let z(b) = -4*g(b) + 7*w(b). Factor z(x).
2*x**3*(x - 1)*(x + 1)
Let u be 3/9*(-3 + 12). Factor 7/4*n**u + 0*n**2 + 3/4*n**4 + 0 - n.
n*(n + 1)*(n + 2)*(3*n - 2)/4
Let t(m) be the third derivative of m**5/15 - 2*m**3/3 - 6*m**2 + 5*m. What is g in t(g) = 0?
-1, 1
Factor -16*p**2 - 11*p**3 - 4*p**4 - 11*p**3 + 6*p**3.
-4*p**2*(p + 2)**2
Let p(h) be the first derivative of 0*h + 0*h**2 - 1/15*h**3 - 2 + 1/20*h**4. Suppose p(c) = 0. What is c?
0, 1
Let p be (-2)/(-5)*((-285)/(-18))/19. Factor p*f**5 + 2/3*f**2 + 5/3*f**3 + 0*f + 4/3*f**4 + 0.
f**2*(f + 1)**2*(f + 2)/3
Let r = 1613/7 + -229. Factor -6/7*o**3 + 2/7*o**5 - 4/7*o + r*o**2 - 2/7*o**4 + 0.
2*o*(o - 1)**3*(o + 2)/7
Let k(y) be the third derivative of 0 + 0*y**4 - 1/210*y**7 + 0*y + 1/120*y**6 + 1/60*y**5 - 1/336*y**8 + 0*y**3 - 3*y**2. Suppose k(t) = 0. Calculate t.
-1, 0, 1
Let l(f) be the second derivative of f**6/105 + 2*f**5/35 + f**4/7 + 4*f**3/21 + f**2/7 - f. Factor l(d).
2*(d + 1)**4/7
Factor 2*t**3 - 3*t**2 + 22*t**2 - 17*t**2.
2*t**2*(t + 1)
Let a be (-6)/(-10)*(-70)/(-28). Suppose -t + 57/2*t**4 - a*t**2 + 0 + 14*t**5 + 14*t**3 = 0. What is t?
-1, -2/7, 0, 1/4
Let r(m) be the first derivative of m**5/25 - 2*m**3/15 + m/5 - 18. Suppose r(k) = 0. What is k?
-1, 1
Let m(f) be the first derivative of -36*f**3 - 90*f**2 - 75*f - 31. Factor m(d).
-3*(6*d + 5)**2
Let o(k) be the second derivative of -k**7/21 + 4*k**6/15 + 11*k**5/10 + k**4 + 19*k. Suppose o(q) = 0. Calculate q.
-1, 0, 6
Let m = -8 - -11. Let t be 21/(-9) + m/1. Factor -2/3*k**2 + 2/3*k**4 + t*k**3 - 2/3*k + 0.
2*k*(k - 1)*(k + 1)**2/3
Find d, given that -8/7 - 32/7*d + 18/7*d**2 = 0.
-2/9, 2
Let d = -64 - -64. Factor 3/2*v**3 + 15/2*v**4 + 9/2*v**5 - 3/2*v**2 + 0 + d*v.
3*v**2*(v + 1)**2*(3*v - 1)/2
Let r be (-1)/8*(10 - 12). Factor -r*j**2 + 1/2 + 1/4*j.
-(j - 2)*(j + 1)/4
Let v(m) = -m**2 + 6*m - 3. Let s be v(5). Factor -9 + s*l - 15*l**2 - 30*l - 15*l**2 + 1 - 9*l**3.
-(l + 2)*(3*l + 2)**2
Let r(k) = k. Let b(t) = 2*t**2 + 11*t + 8. Let i(s) = b(s) - 3*r(s). What is q in i(q) = 0?
-2
Suppose -5*n - 5 = 5*r, 5*r - 1 = 2*n - 6. Factor -1/5*z + n + 1/5*z**3 + 0*z**2.
z*(z - 1)*(z + 1)/5
Let t(j) be the second derivative of j**4/12 + 5*j**3/6 + 3*j**2 - 2*j - 5. Factor t(d).
(d + 2)*(d + 3)
Let a(r) = 2*r**2 - 2*r. Let t(i) = i**2 - i. Let s be (1 - 6) + (4 - 2). L