t p(f) = 0.
-1, 0
Let w(q) = q - 2. Let f be w(12). Let c be (-2)/4 - (-5)/f. Let 0 + c*i - 4/3*i**2 + 4/3*i**3 - 1/3*i**4 = 0. What is i?
0, 2
Suppose -7*a + 4 = -3*a, 4*a = 2*x. Let -27*f**3 - 7*f**4 - f**x - f**2 - 14*f**4 - 4*f**2 = 0. What is f?
-1, -2/7, 0
Let x(m) be the first derivative of 2*m**6/33 - 2*m**5/55 - 3*m**4/22 + 2*m**3/33 + m**2/11 - 2. Suppose x(n) = 0. Calculate n.
-1, -1/2, 0, 1
Let m be (2*(-39)/36)/2. Let j = -3/4 - m. Factor j*b**2 + 1/3*b + 0.
b*(b + 1)/3
Let c = 3 + -6. Let r be -2*(-1 - c/4). Suppose r*n**2 - 1/4*n**3 + 0 - 1/4*n = 0. Calculate n.
0, 1
Let t(k) be the first derivative of -k**4/2 + 2*k**3/3 + 1. Factor t(f).
-2*f**2*(f - 1)
Let a(w) be the second derivative of 0*w**2 - 5*w + 0*w**3 + 1/4*w**4 + 0. Factor a(g).
3*g**2
Let m(x) be the first derivative of -x**4/6 - 4*x**3/9 - x**2/3 + 4*x + 2. Let s(z) be the first derivative of m(z). Solve s(k) = 0.
-1, -1/3
Let b = 145/213 + -1/71. Factor 2*j + b*j**2 + 4/3.
2*(j + 1)*(j + 2)/3
Let a(d) be the second derivative of d**6/30 + d**5/10 - d**4/12 - d**3/3 - 20*d. Find f such that a(f) = 0.
-2, -1, 0, 1
Let h(r) = 2*r**4 - 2*r**3 - 10*r**2 + 2. Let b(y) = 7*y**4 - 7*y**3 - 41*y**2 + 9. Let p(t) = 2*b(t) - 9*h(t). Determine i so that p(i) = 0.
-1, 0, 2
Let i(m) be the second derivative of m**6/120 - m**5/40 + 2*m**3/3 - m. Let y(t) be the second derivative of i(t). Factor y(a).
3*a*(a - 1)
Suppose 4*o - h = 22, 3*o = 5*o + 2*h - 16. Suppose -9*u = -o*u - 6. Factor -2/7 + 48/7*f**3 - 2/7*f**u - 12/7*f - 32/7*f**4.
-2*(f - 1)**2*(4*f + 1)**2/7
Determine l so that 2/5*l**2 + 4/5 + 6/5*l = 0.
-2, -1
Suppose -3*s - 14 = -2*w - 2*w, 2*w - s = 6. Let g(y) be the third derivative of 3*y**w + 0*y**3 + 1/60*y**5 + 0 + 1/12*y**4 + 0*y. What is q in g(q) = 0?
-2, 0
Let p = -165 - -167. What is c in 1/5*c - 1/5*c**3 - 1/5*c**p + 1/5 = 0?
-1, 1
Let d(f) be the second derivative of 1/10*f**6 + 0 - 4*f + 0*f**2 + 0*f**5 - 1/4*f**4 + 0*f**3. What is z in d(z) = 0?
-1, 0, 1
Let y be 7/70 + 0/(-2). Let w(a) be the second derivative of -y*a**5 - 2*a + 0 + 0*a**3 + 0*a**4 + 4/15*a**6 + 0*a**2. Factor w(f).
2*f**3*(4*f - 1)
Let c(k) = k**2 + k - 1. Let r(f) = 3*f**2 + 7*f - 6. Let i(o) = -4*c(o) + r(o). Solve i(l) = 0.
1, 2
Let q(f) be the first derivative of 8/55*f**5 + 4 + 0*f**3 + 0*f**2 + 1/33*f**6 + 2/11*f**4 + 0*f. Factor q(s).
2*s**3*(s + 2)**2/11
Let p(l) be the third derivative of -l**6/960 + l**5/480 + l**4/48 - l**3/12 + 12*l**2. Factor p(v).
-(v - 2)*(v - 1)*(v + 2)/8
Suppose 5*o + 2*l - 29 + 4 = 0, -3*o = -5*l + 16. Let f = -3/22 + 7/11. Solve 0*i + 0 + f*i**o + 1/4*i**4 + 1/4*i**2 = 0 for i.
-1, 0
Let l(g) be the first derivative of -5*g**4/2 + 55*g**3/3 - 40*g**2 + 35*g - 14. Factor l(y).
-5*(y - 1)**2*(2*y - 7)
Let d(b) be the first derivative of -b**4/14 + 7. Factor d(y).
-2*y**3/7
Let a(b) be the second derivative of -2*b**2 + 2/5*b**5 - 2/21*b**7 - 2/15*b**6 + 2/3*b**4 - 2/3*b**3 + 0 - 3*b. Solve a(m) = 0 for m.
-1, 1
Let p(d) be the first derivative of 2*d**3/39 + 4*d**2/13 + 6*d/13 - 5. Suppose p(s) = 0. Calculate s.
-3, -1
Let j(l) = -2*l**3 + 3*l**2 + 4. Let p be j(2). Determine z, given that -7*z**4 + z**3 + p*z + 0 + 49/4*z**5 + 0*z**2 = 0.
0, 2/7
Let b(u) be the first derivative of u**6/2 - 33*u**5/20 + 15*u**4/16 + u**3/2 + 9. Solve b(h) = 0.
-1/4, 0, 1, 2
Let i = 4975 + -1686527/339. Let t = 2377/678 + i. Find r, given that 6*r + 2 - t*r**2 = 0.
-2/7, 2
Let n(u) = 26*u**2 + 4*u + 11. Let t(f) = -9*f**2 - f - 4. Let h(k) = 4*n(k) + 11*t(k). Factor h(b).
5*b*(b + 1)
Suppose 4*h + h - 20 = 0. Let y(i) be the first derivative of -1/4*i**2 + 1 + 0*i**3 + 1/8*i**h + 0*i. Let y(b) = 0. Calculate b.
-1, 0, 1
Let t be ((765/(-6))/(-17))/(18/8). Suppose 4/3*y**3 + 2/3 + t*y**2 + 8/3*y = 0. What is y?
-1, -1/2
Let w(l) be the first derivative of -l**4/4 + l**3 - 3*l**2/2 + l - 6. Factor w(j).
-(j - 1)**3
Let r(l) be the third derivative of -3*l**6/140 + l**5/70 + 5*l**4/84 + l**3/21 - 13*l**2. What is a in r(a) = 0?
-1/3, 1
What is b in 0*b - 8/5 + 2/5*b**2 = 0?
-2, 2
Solve -3/4*h**3 - 3/2*h**2 + 0 - 3/4*h = 0 for h.
-1, 0
What is y in 7*y + 2*y + 3*y**4 - 9*y**2 - 15*y = 0?
-1, 0, 2
Let z(k) be the second derivative of -k**4/18 + k**3/9 + 25*k. Factor z(f).
-2*f*(f - 1)/3
Determine m, given that -2/5*m**4 - 6*m**2 + 16/5*m**3 - 16/5*m + 32/5 = 0.
-1, 1, 4
Let f(p) be the third derivative of p**8/2520 - p**7/630 - p**6/540 + p**5/90 - p**3/6 + 4*p**2. Let u(g) be the first derivative of f(g). Factor u(z).
2*z*(z - 2)*(z - 1)*(z + 1)/3
Let u(h) = -h**3 + 6*h**2 + 5. Let s be u(6). Suppose -5*j = -s - 10. Solve 8*n**3 + 2*n**4 + 0*n**j + 0*n**4 + n**4 + 4*n**2 = 0 for n.
-2, -2/3, 0
Let r be 4/2*(-6)/(-4). Factor -v**4 + 0 + 2*v - 2*v**r + 2 - 1.
-(v - 1)*(v + 1)**3
Factor 156 - 2*k**4 + 2*k**2 - 156.
-2*k**2*(k - 1)*(k + 1)
Suppose 0 = -2*w + 2, 0 = 3*y + 3*w - 1 - 20. Let c be (16/(-216))/((-2)/y). Factor 0 + 2/9*l**2 + 2/9*l**3 - 2/9*l - c*l**4.
-2*l*(l - 1)**2*(l + 1)/9
Suppose p - j - 4 = -3, 0 = 3*p - 2*j - 3. Let d(o) = -o**4 - o**3 + 2*o**2. Let g(q) = q**2 - q. Let l(b) = p*g(b) - d(b). Find i such that l(i) = 0.
-1, 0, 1
Suppose -4*z - 3*t + 9 + 8 = 0, 2*t = 3*z. Solve -3*b - 5*b**3 - 1 - 4*b**2 + 4*b**3 + b**z = 0 for b.
-1
Suppose -8 - 10 = -2*u - 2*f, -3*f = -15. Let h(b) be the first derivative of 1 - 1/6*b**3 + 0*b + 0*b**2 - 1/2*b**u. Determine n, given that h(n) = 0.
-1/4, 0
Let s = -1/18 - -5/9. Let v be (-2)/1 + 21/6. Find u such that 1 - s*u**4 - 5/2*u + v*u**2 + 1/2*u**3 = 0.
-2, 1
Let n(b) = -17*b**4 - 33*b**3 - 15*b**2 - 4*b - 5. Let z(h) = -h**4 - h**3 + h**2 - 1. Let s(p) = n(p) - 5*z(p). Find r, given that s(r) = 0.
-1, -1/3, 0
Suppose 0 - 20/3*m - 25/3*m**3 + 5/3*m**4 + 40/3*m**2 = 0. What is m?
0, 1, 2
Let y(m) = 585*m**3 + 35*m**2 + 110*m - 55. Let t(r) = -65*r**3 - 4*r**2 - 12*r + 6. Let j(g) = 55*t(g) + 6*y(g). Suppose j(w) = 0. What is w?
-2/13, 0
Let t(p) be the second derivative of -p**8/120 - p**7/105 + p**6/150 - p**2 + 3*p. Let x(f) be the first derivative of t(f). Factor x(z).
-2*z**3*(z + 1)*(7*z - 2)/5
Suppose 3*r = 4*r + m + 164, 3*m = r + 148. Let w be (-2)/7 - r/168. Factor w*u + 1/3 + 1/3*u**2.
(u + 1)**2/3
Let i(q) = -16*q**4 - 25*q**3 + 17*q**2 + 17. Let s be (1 - 4/2) + -50. Let c(d) = 2*d**4 + 3*d**3 - 2*d**2 - 2. Let a(h) = s*c(h) - 6*i(h). Factor a(o).
-3*o**3*(2*o + 1)
Let u(t) be the third derivative of t**7/21 - t**6/8 - t**5/12 + 5*t**4/8 - 5*t**3/6 - 22*t**2. What is q in u(q) = 0?
-1, 1/2, 1
Let w(u) be the second derivative of 0 - 1/55*u**6 - 4/11*u**2 - 1/231*u**7 + 7/66*u**4 + 0*u**3 - 6*u + 1/110*u**5. Find q, given that w(q) = 0.
-2, -1, 1
Let l(n) be the first derivative of n**3/18 - 5*n**2/3 + 50*n/3 + 34. Suppose l(h) = 0. What is h?
10
Let q(n) be the third derivative of 4*n**2 + 0 + 1/4*n**4 - 1/3*n**3 - 1/15*n**5 + 0*n. Factor q(g).
-2*(g - 1)*(2*g - 1)
Suppose 3*i = 2*i + 2. Determine b so that -2*b**2 - 4 + b**2 + 4 - 1 + i*b = 0.
1
Let r(b) be the third derivative of 3/20*b**5 - 5/8*b**4 + 0*b - 4*b**2 + 0 + b**3. Factor r(v).
3*(v - 1)*(3*v - 2)
Let y(w) = -3*w**2 - 12*w + 23. Let c(x) = -x**2 - 6*x + 11. Let k(j) = 5*c(j) - 2*y(j). Find b, given that k(b) = 0.
3
Let a(y) be the second derivative of y**4/6 - 3*y**2 + y. Let s(c) = -c**3 - c**2 + c + 7. Let m = -3 - 0. Let d(i) = m*a(i) - 2*s(i). Factor d(r).
2*(r - 2)*(r - 1)*(r + 1)
Determine w so that -4/5*w - 16/15 - 2/15*w**2 = 0.
-4, -2
Let m(r) be the first derivative of 1/4*r**4 + 4*r + 0*r**2 + 3 - r**3. Let m(g) = 0. Calculate g.
-1, 2
Let v = 29 - 20. Let u = v + -4. Factor -2/7*f + 2/7*f**4 - 4/7*f**2 + 2/7 + 4/7*f**3 - 2/7*f**u.
-2*(f - 1)**3*(f + 1)**2/7
Let i be (-66)/(-8)*(-132)/(-65). Let y = i - 83/5. Factor -2/13*s**3 + 0 + 0*s - y*s**2.
-2*s**2*(s + 1)/13
Let s(m) = -m**2 - 15*m - 5. Let u(j) = 12*j**2 + 164*j + 56. Let k(g) = 32*s(g) + 3*u(g). Factor k(q).
4*(q + 1)*(q + 2)
Suppose -3*z - p = -5*z + 5, -3*z - 10 = -5*p. Factor 3*d**z - 5*d**5 + 0*d**3 + d**5 + d**3.
-d**3*(d - 1)*(d + 1)
Let g = -1 - -2. Let u(m) = m**2 - 7*m - 6. Let p be u(8). Factor 6*r + g + 3 + 2*r**p + 0*r**2.
2*(r + 1)*(r + 2)
Let y = 9970/12971 + -3/763. Let j = y + 45/119. Factor -8/7*u + j + 2/7*u**2.
2*(u - 2)**2/7
Let p = 13 - 13. What is v