z**4/6 - 50*z**3/3 - 21*z**2. Find v such that x(v) = 0.
-5, -1
Let y(z) be the second derivative of -1/12*z**3 + 1/24*z**4 - 1/2*z**2 + 0 - 5*z. Suppose y(a) = 0. What is a?
-1, 2
Let d(a) be the first derivative of -a**6/60 + a**5/20 - a**3/6 + a**2/2 + 1. Let u(p) be the second derivative of d(p). Factor u(c).
-(c - 1)**2*(2*c + 1)
Determine n, given that 1/4*n**2 + 0*n + 1/4*n**3 + 0 = 0.
-1, 0
Suppose 0 = h - 0*h - 4. Factor -3*a**3 + 4*a**h + 2*a**3 - 3*a**4 + 0*a**4.
a**3*(a - 1)
Let o = 9 + -4. Determine q so that o*q - 6*q**2 + 4*q**3 - 1 - q**4 - q + 0*q**4 = 0.
1
Let q(m) = -24*m**2 - 19*m - 7. Let h(a) = -36*a**2 - 29*a - 11. Let y(p) = 5*h(p) - 8*q(p). Suppose y(o) = 0. Calculate o.
-1/3, -1/4
Let x = -10 + 15. What is l in 0*l**x + 2*l**4 + 3*l**2 + 4*l**5 - l**2 - 4*l**3 - 4*l**4 = 0?
-1, 0, 1/2, 1
Let x be (-1 - -3)*(-4 - (-17)/4). Suppose 1/4*t + 1/4 - x*t**3 + 1/4*t**4 + 1/4*t**5 - 1/2*t**2 = 0. Calculate t.
-1, 1
Let d be 0/1 - (-1 + 1). Let n(x) be the first derivative of 3 - 1/3*x**3 + 0*x - 1/4*x**4 + d*x**2. Factor n(p).
-p**2*(p + 1)
Let q(t) be the third derivative of -2*t**7/147 + 23*t**6/210 + 2*t**5/21 + 3*t**2. Determine r so that q(r) = 0.
-2/5, 0, 5
Let x(f) = 10*f**4 + 16*f**3 + 14*f**2 + 8*f - 6. Let w(s) = s**4 - s**2 - 1. Let o(h) = -6*w(h) + x(h). Factor o(y).
4*y*(y + 1)**2*(y + 2)
Let t(i) be the third derivative of i**8/112 - i**7/10 + 3*i**6/8 - 9*i**5/20 + 5*i**2. Factor t(b).
3*b**2*(b - 3)**2*(b - 1)
Factor 12/5*m + 14/5*m**2 + 2/5*m**3 + 0.
2*m*(m + 1)*(m + 6)/5
Let v(g) be the second derivative of g**9/12096 - g**7/1680 + g**5/480 - g**3/3 - 3*g. Let x(y) be the second derivative of v(y). Factor x(c).
c*(c - 1)**2*(c + 1)**2/4
Suppose 0*a + a = -3*u + 15, -4*a - 3*u = -42. Let w be 12/a + 2/3. Factor 0*i - 8*i**3 - w*i**4 - i**4 - 7*i**2 - 2*i.
-i*(i + 1)**2*(3*i + 2)
Let i(v) = -8*v**2 + v - 1. Let h(t) = t**2 - t. Let n(j) = -5*h(j) - i(j). Factor n(o).
(o + 1)*(3*o + 1)
Let c = -9 + 9. Let y(z) be the second derivative of c*z**2 + 0 + 0*z**4 - 1/10*z**5 + 1/3*z**3 - 2*z. Find h, given that y(h) = 0.
-1, 0, 1
Let p(h) be the first derivative of -h**5/240 + h**4/32 - h**3/12 + 9*h**2/2 - 9. Let y(v) be the second derivative of p(v). Find d, given that y(d) = 0.
1, 2
Let r(j) be the third derivative of j**6/240 + j**5/120 - j**4/48 - j**3/12 + 7*j**2. Suppose r(m) = 0. Calculate m.
-1, 1
Let l(u) be the third derivative of 0 - 2/105*u**7 - 1/168*u**8 + 0*u**3 - 4*u**2 + 1/15*u**5 + 1/12*u**4 + 0*u + 0*u**6. Factor l(h).
-2*h*(h - 1)*(h + 1)**3
Let y be 3/(-2)*(-44)/33. Solve -1/2*f**y + 0 - 1/2*f = 0.
-1, 0
Let q(o) = 4*o**3 + 10*o**2 + 16*o + 6. Let m(k) = -9*k**3 - 20*k**2 - 32*k - 11. Let c(p) = -4*m(p) - 10*q(p). Solve c(u) = 0 for u.
-2, -1
Let v(h) = -40*h**4 + 66*h**3 - 12*h**2 + 4*h. Let a(n) = n**4 - n**3 - n**2. Let u(q) = -36*a(q) - 2*v(q). Suppose u(c) = 0. What is c?
0, 2/11, 1
Let s(j) be the second derivative of 2*j**6/5 + j**5/5 - j**4 - 2*j**3/3 + 31*j. Suppose s(q) = 0. Calculate q.
-1, -1/3, 0, 1
Find z, given that 0 - 2/23*z**5 + 0*z - 2/23*z**4 - 6/23*z**2 + 10/23*z**3 = 0.
-3, 0, 1
Suppose -3*u = -4*g - 6, 2*u + 2*g = 5*u - 6. Let b(j) = 4*j**3 - 2*j + 1. Let d be b(1). Suppose k**3 - 5*k**d - 2*k - 2*k**2 + u*k**3 - 2*k**2 = 0. What is k?
-1, 0
Factor 4/5*v**2 + 4/5*v - 4/5*v**3 - 4/5.
-4*(v - 1)**2*(v + 1)/5
Let f be 1/((4 - -1)/15). Determine s, given that 4/5*s - 2/5*s**f + 2/5*s**2 + 0 = 0.
-1, 0, 2
Factor -35/3*o**4 - 4/3*o**2 + 0*o - 26/3*o**3 + 0 + 49/6*o**5.
o**2*(o - 2)*(7*o + 2)**2/6
Suppose -y + 8 - 31 = -4*a, 14 = 4*a + 2*y. Let w = a + -3. Let -3*m**3 - 2*m**2 + 3*m**3 - w*m**3 = 0. What is m?
-1, 0
Let c = -1 + -4. Let y(h) = 3*h**4 + 23*h**3 + h**2 - 23*h - 9. Let b(v) = v**4 + 12*v**3 + v**2 - 12*v - 5. Let k(z) = c*b(z) + 3*y(z). What is r in k(r) = 0?
-2, -1, -1/4, 1
Let n(x) = 7*x**3 - 20*x**2 - 37*x + 5. Let b(a) = -20*a**3 + 62*a**2 + 110*a - 14. Let v(d) = 5*b(d) + 14*n(d). Factor v(z).
-2*z*(z - 16)*(z + 1)
Determine o so that 1/5*o**2 + 1/5 - 2/5*o = 0.
1
Let g(l) = -8*l**2 + 6 - 2 + 2*l + 0*l**2. Let a(b) = -b**2. Let x(d) = 6*a(d) - g(d). Find n such that x(n) = 0.
-1, 2
Suppose 0 = 4*r - 51 + 3. Find q such that -r*q + 12*q - 2*q**3 - 6*q**2 + 5*q**3 = 0.
0, 2
Let r(y) be the second derivative of -y**5/80 + y**4/48 + 29*y. Factor r(b).
-b**2*(b - 1)/4
Let w(s) be the first derivative of -s**5/15 - 7*s**4/12 - 2*s**3 - 10*s**2/3 - 8*s/3 + 5. Find a such that w(a) = 0.
-2, -1
Let n(t) = 4*t**3 + 8*t**2 - 4*t - 8. Let u(m) = -m**2 + 1. Let g(q) = n(q) + 12*u(q). Factor g(i).
4*(i - 1)**2*(i + 1)
Let r(l) = l**2 - 10*l - 9. Let d be r(10). Let g be (-2 - d/6)*0. Factor 0 - 1/4*j**4 + 0*j**2 - 1/4*j**3 + g*j.
-j**3*(j + 1)/4
Let i be ((-2)/63)/(8/(-6)). Let o(j) be the third derivative of 0*j**3 - 2*j**2 + 0*j + i*j**4 + 0 + 1/210*j**5. Factor o(m).
2*m*(m + 2)/7
Let f(l) be the third derivative of -l**10/15120 - l**9/3780 - l**8/3360 + l**4/8 + l**2. Let p(a) be the second derivative of f(a). Factor p(z).
-2*z**3*(z + 1)**2
Let o be -22*4/(-20) + -4. Let x = 5/6 - 13/30. What is c in 0 + 0*c**3 + 0*c - x*c**4 + o*c**2 = 0?
-1, 0, 1
Suppose -3 = -3*y + 3. Let m(j) be the first derivative of -1/20*j**4 + 0*j**3 + 0*j + y + 1/10*j**2. Suppose m(a) = 0. Calculate a.
-1, 0, 1
Let z(f) be the first derivative of 1/2*f**6 + 9/4*f**4 + f**3 + 0*f**2 + 0*f + 5 + 9/5*f**5. Solve z(i) = 0.
-1, 0
Let m(y) be the second derivative of y**4/48 - y**3/6 + y**2/2 + y. Factor m(v).
(v - 2)**2/4
Suppose -42*l + 24 = -38*l. Let i(k) be the third derivative of 0 + 0*k**3 - 1/1344*k**8 + 1/840*k**7 + 0*k**5 - 3*k**2 + 0*k**l + 0*k + 0*k**4. Factor i(x).
-x**4*(x - 1)/4
Let a(f) = 12*f**2 + 36*f + 15. Let o(j) = 25*j**2 + 72*j + 29. Let h(y) = -y + 7. Let m be h(12). Let d(k) = m*a(k) + 3*o(k). Determine t so that d(t) = 0.
-2, -2/5
Let i(j) be the first derivative of -3*j**4/28 + 2*j**3/7 - 3*j**2/14 + 2. Solve i(v) = 0.
0, 1
Let v = 7024/22363 - -2/1177. Determine n so that 18/19*n**3 - 4/19*n + 0 + v*n**2 = 0.
-2/3, 0, 1/3
Let t(s) = s**3 + 14*s**2 + 12*s - 10. Let n be t(-13). Factor -1/3*v**n + 0*v + 0 - 1/3*v**2.
-v**2*(v + 1)/3
Let t(b) = -3*b**2 - 20*b - 29. Let o(x) = -30*x**2 - 201*x - 291. Suppose 48 = -2*l + 2*v, 5*l + 0*v = -5*v - 90. Let i(a) = l*t(a) + 2*o(a). Factor i(g).
3*(g + 3)**2
Factor -15/2*p**2 - 9/2*p**3 - 3/2*p + 3/2.
-3*(p + 1)**2*(3*p - 1)/2
Determine z so that 0*z + 0 - 2/13*z**4 + 0*z**3 + 0*z**2 = 0.
0
Let n(u) be the second derivative of -u**6/180 + 2*u**5/45 - 5*u**4/36 + 2*u**3/9 - u**2 - u. Let k(s) be the first derivative of n(s). Factor k(i).
-2*(i - 2)*(i - 1)**2/3
Let p(f) be the third derivative of f**7/210 + f**6/40 + f**5/30 - 5*f**2. Factor p(w).
w**2*(w + 1)*(w + 2)
Let f(d) be the second derivative of 34/27*d**3 + 0 - 91/54*d**4 - 3*d + 49/60*d**5 - 4/9*d**2. Find p such that f(p) = 0.
2/7, 2/3
Let z = 645/2548 - 2/637. Factor z*k**3 + 0 + 1/4*k + 1/2*k**2.
k*(k + 1)**2/4
Find g such that 4/3*g**2 - 32/3*g + 64/3 = 0.
4
Let c(p) be the third derivative of -p**7/525 + p**6/100 - p**5/75 - 40*p**2. Suppose c(t) = 0. Calculate t.
0, 1, 2
Let w(l) be the first derivative of l**8/336 - 2*l**7/105 + l**6/24 - l**5/30 + 3*l**2 - 6. Let u(o) be the second derivative of w(o). Factor u(k).
k**2*(k - 2)*(k - 1)**2
Let c(a) be the third derivative of 0*a**3 - 1/140*a**7 + 0*a + 0*a**4 - 1/80*a**6 + 0 + 2*a**2 + 0*a**5. Factor c(j).
-3*j**3*(j + 1)/2
Let c(g) = g**2 + g - 1. Let k(q) = -2*q**3 + 13*q**2 + 3*q - 7. Let z = -8 + 22. Let r(d) = z*c(d) - 2*k(d). Factor r(a).
4*a*(a - 2)*(a - 1)
Let o be ((-6)/(-3))/4 - 0/(-1). Solve -1/2*s**3 + o*s**2 + 0*s + 0 = 0 for s.
0, 1
Let r be (-3)/(-2)*5/(-120)*-8. Let p(l) be the first derivative of 8/3*l**3 - 5*l**2 + 2 + 4*l - r*l**4. Let p(q) = 0. What is q?
1, 2
Find y, given that 8/3*y - 10/3 + 2/3*y**2 = 0.
-5, 1
Let w = 60 + -55. Let q(c) be the second derivative of 0*c**2 + 1/24*c**3 - 1/20*c**w - c + 0 + 1/16*c**4. Suppose q(b) = 0. Calculate b.
-1/4, 0, 1
Solve 0*n**3 - 4/5 + 0*n - 4/5*n**4 + 8/5*n**2 = 0.
-1, 1
Suppose 4*z - 6 = 2*z. Let d(p) be the first derivative of 1/4*p**4 + 1/4*p + 1/2*p**z + 1/2*p**2 + 3 + 1/20*p**5. Factor d(u).
(u + 1)**4/4
Let a(o) be the third derivative of o**7