ermine r so that 0 + g*r**3 - 1/2*r**2 - 1/4*r**4 + 0*r = 0.
0, 1, 2
Let w = -155 + 1861/12. Let k(u) be the first derivative of -1 - 2/9*u**6 + 0*u**2 + 0*u**3 + 0*u - 1/3*u**5 - w*u**4. What is v in k(v) = 0?
-1, -1/4, 0
Let i(s) = -2*s + 16. Let v be i(7). Let q(t) be the third derivative of 1/120*t**5 - v*t**2 + 0 + 0*t + 0*t**3 - 1/24*t**4. Determine p so that q(p) = 0.
0, 2
Let y be 3*(-7)/((-63)/6). Suppose y*p + 1 - 5 = 0. Let 3/2 + 69/4*d + 84*d**3 + 66*d**p = 0. What is d?
-2/7, -1/4
Let f(j) = -2*j**2 + 10*j. Let d(t) = -2*t**2 + 11*t. Let a(x) = 4*d(x) - 5*f(x). Factor a(c).
2*c*(c - 3)
Let x(d) be the third derivative of 1/20*d**5 + d**2 + 3/8*d**4 + 0*d + d**3 + 0. What is j in x(j) = 0?
-2, -1
Let i(p) = p + 8. Let r = -14 + 8. Let z be i(r). Solve 2/5*b**z + 2/5*b + 0 = 0.
-1, 0
Let j(x) = -3*x + 5. Let p be j(2). Let s(d) = -3*d - 1. Let w be s(p). Factor 0 + 0*u - 1/2*u**3 + 0*u**w.
-u**3/2
Let n(i) be the second derivative of -i + 0 + 1/2*i**3 + 3*i**2 - 1/4*i**4. Let n(t) = 0. What is t?
-1, 2
Solve -5/3*d**3 - 1/3*d**5 + 0 - 2/3*d**2 - 4/3*d**4 + 0*d = 0.
-2, -1, 0
Let g(x) = -x**2 - 2*x. Let f be g(-2). Let t(z) be the first derivative of f*z**2 + 3 + 0*z - 1/12*z**3. Determine o, given that t(o) = 0.
0
Let y(m) be the second derivative of -m**10/120960 + m**9/15120 - m**8/5376 + m**7/5040 - m**4/6 - m. Let p(f) be the third derivative of y(f). Factor p(r).
-r**2*(r - 2)*(r - 1)**2/4
Find v, given that 1/2*v**5 + 1 + 8*v**2 + 9/2*v + 3*v**4 + 7*v**3 = 0.
-2, -1
Let b(o) be the first derivative of o**3/3 + 3*o**2/2 + 2*o + 12. Determine u so that b(u) = 0.
-2, -1
Let o be 9/(81/(-6))*-3. Let g(n) be the first derivative of 3*n**o + 4*n + 2/3*n**3 + 1. Determine w, given that g(w) = 0.
-2, -1
Let z(d) be the first derivative of 1/12*d**3 + d + 1/24*d**4 + 3 + 0*d**2. Let m(a) be the first derivative of z(a). Determine y so that m(y) = 0.
-1, 0
Let y = -726 + 726. What is n in y*n - 10/7*n**5 + 16/7*n**4 + 0 - 2/7*n**3 - 4/7*n**2 = 0?
-2/5, 0, 1
Suppose 0 = -11*a + 14*a - 9. Let f(x) be the first derivative of -11/6*x**2 + x**a + 2/3*x - 1. Factor f(r).
(r - 1)*(9*r - 2)/3
Let v(h) be the first derivative of -h**6/33 + h**4/22 - 4. Factor v(k).
-2*k**3*(k - 1)*(k + 1)/11
Let a(k) be the first derivative of -k**6/12 + 3*k**5/5 - 7*k**4/4 + 8*k**3/3 - 9*k**2/4 + k + 6. Let a(d) = 0. Calculate d.
1, 2
Let n(b) = -b + 1. Let v be (-8)/(-10)*(-15)/6. Let u be n(v). Factor 2*d**u - 1 + 0*d**2 + 2*d**2 - 1 - 2*d.
2*(d - 1)*(d + 1)**2
Let f = 2/7 + -15/77. Let b(o) be the first derivative of -2/33*o**3 + 0*o**2 - 2/55*o**5 + 4 - f*o**4 + 0*o. Suppose b(l) = 0. What is l?
-1, 0
Let m(x) be the third derivative of -x**7/140 - x**6/10 - 2*x**5/5 - 10*x**2. Let m(n) = 0. Calculate n.
-4, 0
Factor 0*x + 4/11*x**4 + 2/11*x**3 + 0*x**2 + 0.
2*x**3*(2*x + 1)/11
Let s(c) = -3*c**3 - 1. Suppose 0 = -m - 3*q + 5, 5*m - 1 = -3*q - 0. Let k be s(m). Factor -h**4 - 6*h**k + 6*h**3 - 2*h - 2*h + 5*h**4.
2*h*(h - 1)*(h + 2)*(2*h + 1)
Let j = -317 - -15217/48. Let w(p) be the second derivative of 1/24*p**3 + 0 - 3*p - 9/80*p**5 - 11/120*p**6 + 0*p**2 - 1/42*p**7 - j*p**4. Factor w(x).
-x*(x + 1)**3*(4*x - 1)/4
Suppose -1 + 11 + 41*x + 10*x**2 - 20*x**3 + x**5 - 16*x - 6*x**5 - 20*x**4 = 0. Calculate x.
-2, -1, 1
Let j(n) be the second derivative of 9*n**5/5 - 35*n**4/12 - n**3/2 + n**2 - 4*n. Factor j(c).
(c - 1)*(4*c + 1)*(9*c - 2)
Let f(v) be the second derivative of 0 + 0*v**4 - 2*v + 0*v**3 + 0*v**2 - 1/15*v**6 - 1/10*v**5. Determine b so that f(b) = 0.
-1, 0
Suppose -3*s = k - 14, 0*s = 4*k - 4*s + 8. Let o = -58 - -176/3. Factor 0*a - o + 2/3*a**k.
2*(a - 1)*(a + 1)/3
Let x(a) be the first derivative of a**4/38 + 26*a**3/57 + 48*a**2/19 + 72*a/19 + 13. Let x(i) = 0. What is i?
-6, -1
Let c(l) be the first derivative of 3*l**5/10 + 3*l**4/8 - l**3/2 - 3*l**2/4 + 9. Factor c(d).
3*d*(d - 1)*(d + 1)**2/2
Let c(y) be the third derivative of -y**8/1680 - y**7/420 - y**6/360 - y**3/3 - 2*y**2. Let w(u) be the first derivative of c(u). Factor w(h).
-h**2*(h + 1)**2
Let 2/3*l - 2/9*l**3 + 4/9 + 0*l**2 = 0. Calculate l.
-1, 2
Factor 1 + 1/2*r**2 + 3/2*r.
(r + 1)*(r + 2)/2
Let n(m) be the third derivative of -m**8/3360 - m**7/420 - m**6/180 + m**4/12 - 2*m**2. Let y(r) be the second derivative of n(r). What is c in y(c) = 0?
-2, -1, 0
Let l(r) = -r**3 + r**2 + r. Suppose -v - 2*y + 22 = -5*v, 1 = -y. Let x(d) = -14*d**4 + 10*d**3 + 8*d**2 - 10*d. Let m(s) = v*l(s) - x(s). Factor m(c).
2*c*(c - 1)*(c + 1)*(7*c - 2)
Let n = 9 + -3. Let d(j) be the third derivative of 0*j - 1/60*j**4 + 1/50*j**5 - 1/15*j**3 + 2/525*j**7 + j**2 + 0 + 1/60*j**n. Factor d(w).
2*(w + 1)**3*(2*w - 1)/5
Let q = 12 - 8. Suppose -q*c - c + 20 = 0. Suppose 1/3 + 2/3*t - 2/3*t**3 - 1/3*t**c + 0*t**2 = 0. What is t?
-1, 1
Let h(d) = 2*d**2 + 11*d - 3. Let p be h(-6). Let y(g) be the third derivative of 0*g**p + 0*g - 1/120*g**4 + 0 + 0*g**5 + g**2 + 1/600*g**6. Factor y(u).
u*(u - 1)*(u + 1)/5
Let f(r) be the third derivative of 5*r**2 + 0*r + 0*r**4 + 0*r**3 + 0 - 1/240*r**5 - 1/240*r**6. Factor f(k).
-k**2*(2*k + 1)/4
Let w be 11/15 - 54/(-90). Factor -w*j + 2/3*j**2 + 2/3.
2*(j - 1)**2/3
Let j(t) = t**2 - 7*t - 8. Let d be j(7). Let m be 12/d*(2 + -4). Factor 3/2*k - 3/2 + 3/2*k**2 - 3/2*k**m.
-3*(k - 1)**2*(k + 1)/2
Suppose -1/7*n**3 + 3/7*n**2 - 3/7 + 1/7*n = 0. Calculate n.
-1, 1, 3
Let u(k) = k**3 + 4*k**2 - 7*k - 10. Let t be u(-5). Let d(j) be the third derivative of 0*j + 3*j**2 + 0 + 0*j**4 + t*j**3 + 1/300*j**5. Factor d(b).
b**2/5
Let p = 2 - 0. Determine t so that -3*t**p + 1 - 3 + 2*t**2 + 3*t**2 = 0.
-1, 1
Let y(s) be the second derivative of 1/6*s**4 + 2/3*s**3 + 4*s + 0 - 3/10*s**5 + 0*s**2. Let y(a) = 0. What is a?
-2/3, 0, 1
Let d(r) = -r**3 + 9*r**2 - 9*r - 7. Let t be d(8). Let x be (-1 - t/18)*-51. What is y in x*y**2 - 2 + 5/2*y**4 + 0*y - 9*y**3 = 0?
-2/5, 1, 2
Suppose -2*l + 4*l - 4 = 2*i, -3*l + 12 = 0. Let 4*n**2 + n**2 + 8*n**3 + 2*n**4 - n**i - 2*n**3 = 0. What is n?
-2, -1, 0
Suppose -3/2*j**2 - 3/4*j**5 + 5/4*j**4 + 1/4*j + 1/2*j**3 + 1/4 = 0. What is j?
-1, -1/3, 1
Let k(a) be the second derivative of 3*a**5/5 - 14*a**4/3 + 34*a**3/3 - 12*a**2 + 29*a. Factor k(f).
4*(f - 3)*(f - 1)*(3*f - 2)
Let p be 5 + 192/(-30) + 2. Factor 2/5*z + 0 - p*z**2 + 0*z**3 + 1/5*z**4.
z*(z - 1)**2*(z + 2)/5
Factor 0*l + 1/3*l**5 + 0 - 1/3*l**4 - 1/3*l**3 + 1/3*l**2.
l**2*(l - 1)**2*(l + 1)/3
Let r = 43/8 + -257/48. Let g(b) be the second derivative of 0 - 1/4*b**2 + 1/120*b**6 + b + r*b**4 + 3/80*b**5 - 1/8*b**3. Suppose g(x) = 0. Calculate x.
-2, -1, 1
Let o(v) be the second derivative of v**4/96 + v**3/6 + v**2 + 7*v. Factor o(s).
(s + 4)**2/8
Let b = -18 - -19. Let y(i) be the first derivative of 1/3*i**3 + 0*i - b - 1/2*i**2. Factor y(u).
u*(u - 1)
Let -562*b**5 - 6*b**2 - 8*b**4 - 12*b**3 - 2*b + 560*b**5 - 2*b**2 = 0. What is b?
-1, 0
Let l(q) be the third derivative of q**5/120 - 3*q**4/16 - 5*q**3/6 + 10*q**2 + q. Factor l(a).
(a - 10)*(a + 1)/2
Let h(j) = -j**2 + 6*j + 3. Let q(p) = -2*p**2 + 13*p + 7. Let y(c) = 9*h(c) - 4*q(c). Suppose y(z) = 0. Calculate z.
1
Let s(q) be the second derivative of 25*q**7/231 + 2*q**6/11 - 61*q**5/110 - q**4/3 + 12*q**3/11 - 8*q**2/11 + 12*q. Find g such that s(g) = 0.
-2, -1, 2/5, 1
Let u be 3*(-5)/(-7 + -38). Suppose -u*p**3 + 0*p + 0 + 1/3*p**2 = 0. Calculate p.
0, 1
Let r be 40/(-30)*63/2. Let y be 3/(-6) + r/(-52). Factor 4/13*q**2 + 2/13*q**5 + 0*q**3 - y*q**4 + 0 - 2/13*q.
2*q*(q - 1)**3*(q + 1)/13
Let a = 15 + -9. Suppose 15 = -5*d, a*d - 4*d = -5*o + 4. Factor 16 - 3*i**3 + 5*i**3 + 14*i**2 + 24*i - 2*i**o.
2*(i + 2)**3
Suppose -5*h = -1 - 9. Let x(u) = u**h + 6*u**3 - 3*u - u - u. Let t(l) = -l**3 + l. Let p(g) = -11*t(g) - 2*x(g). Determine v so that p(v) = 0.
-1, 0
Determine w so that -1/5*w**4 + 4/5*w**3 - 3/5*w**2 + 0*w + 0 = 0.
0, 1, 3
Let z(n) = 25*n**3 - 15*n**2 + 30*n - 10. Let g(d) = -d**3 - d + 1. Let l(c) = 30*g(c) + z(c). Determine y so that l(y) = 0.
-2, 1
Let x(f) = f**3 + 2*f**2 - 3*f - 2. Let y(h) = -h**3 - 2*h**2 + 3*h + 3. Let m(l) = 3*x(l) + 2*y(l). Factor m(r).
r*(r - 1)*(r + 3)
Suppose 5 = 4*n + w - 5, -w - 5 = -n. Factor 3*o**4 + 2*o**n - 3*o**5 + 2*o**4 + o**3 - 8*o**4 + 3*o**2.
-3*o**2*(o 