5 + 0*a**3 + 0*a + 1/60*a**6 + 0 + 0*a**4 + 3*a**2. Suppose f(v) = 0. What is v?
0, 1
Factor 3*t**2 - 3*t**3 + 3 - 3 + 3*t + 20*t**4 - 23*t**4.
-3*t*(t - 1)*(t + 1)**2
Let i be ((-5)/((-400)/48))/((-4)/(-10)). Factor -i*q**2 + 3*q - 3/2.
-3*(q - 1)**2/2
Let i(h) = 14*h**2 + 10*h - 102. Let f(p) = -p**3 + 69*p**2 + 50*p - 511. Let c(t) = 4*f(t) - 22*i(t). Determine k so that c(k) = 0.
-5, 2
Let a(g) be the second derivative of 5/12*g**4 - 1/6*g**6 + 3*g + 1/14*g**7 - 1/3*g**3 - 1/20*g**5 + 0*g**2 + 0. What is m in a(m) = 0?
-1, 0, 2/3, 1
Let d(r) be the third derivative of r**8/112 - 3*r**6/40 + r**5/10 - 3*r**2. Let d(f) = 0. Calculate f.
-2, 0, 1
Let f be (1/2)/((-2)/(-8)). Determine r so that 0 + 2/13*r**4 + 0*r**3 + 0*r - 2/13*r**5 + 0*r**f = 0.
0, 1
Suppose -1/3*a**5 + 0*a**2 + 0 - 1/3*a + 0*a**4 + 2/3*a**3 = 0. Calculate a.
-1, 0, 1
Let b = 35 + -34. Suppose -g - 3*c + 7 = -b, 8 = 3*g + c. Factor -10/3*r**4 + 1/3*r**3 + 25/3*r**5 + 0 + 0*r + 0*r**g.
r**3*(5*r - 1)**2/3
Suppose t = -0*t + 3*v + 12, -t = 5*v + 12. Suppose -5*i + t*i = -10. Factor 2*l**2 + 7*l**i + 2 + 0*l**2 - 7*l**3 - 2 - 2*l**4.
l**2*(l - 1)*(l + 1)*(7*l - 2)
Factor 2/5*q**3 - 2/5*q + 2/5*q**2 - 2/5.
2*(q - 1)*(q + 1)**2/5
Factor 1/3*t + 3*t**4 + 0 + 7/3*t**2 + 5*t**3.
t*(t + 1)*(3*t + 1)**2/3
What is j in -9*j + j**2 - 6*j - 5 - 13*j**2 - 1 - 3*j**3 = 0?
-2, -1
Let p = 912 + -910. Let l = 12 - 35/3. Solve -1/3*o + 0 - l*o**p = 0 for o.
-1, 0
Let s(i) = i**2 + 4*i + 8. Let a be s(-6). Let d be 143/a + (-2)/5. Factor 0*u - d*u**2 + 1 + 27/4*u**3.
(3*u - 2)**2*(3*u + 1)/4
Let i(x) be the first derivative of 2*x**5/5 - x**4 - 2*x**3/3 + 2*x**2 + 1. Solve i(s) = 0.
-1, 0, 1, 2
Let q(y) be the first derivative of -3/4*y**4 + 5 - 21/10*y**2 - 6/5*y - 3/25*y**5 - 9/5*y**3. Let q(w) = 0. What is w?
-2, -1
Let h be (6/(-104)*-2)/3. Let g = 6/13 + h. Factor -7/4*d**4 - 11/4*d**2 + 4*d**3 + 0 + g*d.
-d*(d - 1)**2*(7*d - 2)/4
Let b(p) = p**3 - p - 1. Let n(o) = -12*o**3 + 2*o**2 + 12*o + 2. Let i(g) = 4*b(g) + n(g). Solve i(c) = 0 for c.
-1, 1/4, 1
Let a(r) be the first derivative of -2*r**5/35 - 3*r**4/14 - 2*r**3/7 - r**2/7 - 2. Find i such that a(i) = 0.
-1, 0
Let b = 290 - 160. Let k be 2/13 + 45/b. Factor -k*h**2 + 1/2*h + 0.
-h*(h - 1)/2
Let x be (-15)/(-12) - (-1)/(-1). Let f = 197/4 + -49. Determine t so that -f*t**2 + 0*t + x*t**3 + 0 = 0.
0, 1
Let r(o) be the first derivative of 2*o**3/33 + o**2/11 - 4. Factor r(h).
2*h*(h + 1)/11
Let r(b) be the second derivative of -b**7/105 - b**6/75 + b**5/50 + b**4/30 + 5*b. Solve r(y) = 0 for y.
-1, 0, 1
Suppose 1 + 7 = 2*x. Factor 10*q**4 + 14*q - x*q**3 - 6*q**2 - 10*q - 4*q**2.
2*q*(q - 1)*(q + 1)*(5*q - 2)
Let s(c) be the third derivative of -7*c**6/480 - c**5/15 - c**4/24 + 30*c**2. Factor s(d).
-d*(d + 2)*(7*d + 2)/4
Let t be (0 - -2)/2*0. Suppose -w = 2*w - a - 6, -3*w - 3*a + 6 = t. Factor -4/7*g**w + 2/7*g**4 + 0*g**3 + 2/7 + 0*g.
2*(g - 1)**2*(g + 1)**2/7
Let f(k) be the first derivative of -k**8/140 + 11*k**7/280 - 3*k**6/40 + k**5/40 + k**4/8 + k**3/3 - 2. Let g(q) be the third derivative of f(q). Factor g(a).
-3*(a - 1)**3*(4*a + 1)
Let c(u) be the second derivative of 1/4*u**2 + 0 + 1/24*u**4 - 1/6*u**3 - 4*u. Find x such that c(x) = 0.
1
Let u(l) be the third derivative of -l**8/112 + l**7/30 + l**6/12 - l**5/6 - 7*l**4/24 + l**3/2 - 6*l**2. Suppose u(f) = 0. What is f?
-1, 1/3, 1, 3
Let w = 6 + -50/9. Factor w*h**3 + 2/3*h**2 - 4/9 - 2/3*h.
2*(h - 1)*(h + 2)*(2*h + 1)/9
Let n(y) = -17*y**4 + 43*y**3 - 15*y**2 - 56*y + 16. Let x(z) = -z**4 - z**3 - z**2. Let u(l) = -n(l) + 3*x(l). Determine c so that u(c) = 0.
-1, 2/7, 2
Suppose 4*k - 18 = 2. Factor -4 - 12*j**2 + 3*j**2 + k*j**4 - 2*j**3 - 6*j**2 + 16*j.
(j - 1)**2*(j + 2)*(5*j - 2)
Let m(d) = 7*d**5 - 12*d**4 + d**3 - 2*d - 2. Let q(i) = 48*i**5 - 84*i**4 + 6*i**3 - 15*i - 15. Let l(k) = -15*m(k) + 2*q(k). Solve l(b) = 0.
0, 1/3, 1
Factor 10/13*l**2 + 8/13*l**4 + 2/13*l + 0 + 16/13*l**3.
2*l*(l + 1)*(2*l + 1)**2/13
Let x = -11/3 + 4. Let 0*n**2 + 0 + 1/3*n**3 - x*n = 0. Calculate n.
-1, 0, 1
Suppose 20 = 8*q - 4*q - 4*g, 0 = 2*q - 3*g - 8. Let k = q - 5. Factor 9*j**3 + 12*j**3 - 24*j**k + 60*j + 49*j**4 - 8 - 98*j**2.
(j - 1)*(j + 2)*(7*j - 2)**2
Let y(k) be the first derivative of 2*k**6/3 + 4*k**5/5 - k**4 - 4*k**3/3 - 4. Factor y(w).
4*w**2*(w - 1)*(w + 1)**2
Let l(p) be the third derivative of p**6/180 + 7*p**5/180 - 5*p**4/72 - 2*p**3/9 - 14*p**2. Suppose l(s) = 0. Calculate s.
-4, -1/2, 1
Determine r, given that 0 + 2/7*r + 0*r**2 + 2/7*r**5 + 0*r**4 - 4/7*r**3 = 0.
-1, 0, 1
Let h(j) be the second derivative of -4*j**7/189 - 17*j**6/135 + 4*j**5/45 + 25*j**4/18 + 2*j**3/3 + 29*j. Find k such that h(k) = 0.
-3, -1/4, 0, 2
Let t(x) be the second derivative of -x**5/20 - x**4/6 - x**3/6 - 24*x. Factor t(a).
-a*(a + 1)**2
Let u(g) be the third derivative of -g**6/120 - g**5/20 - g**4/8 - g**3/6 + 2*g**2. Factor u(d).
-(d + 1)**3
Let g be (3/(-6) + 0)*0. Let a(p) be the first derivative of -p**6 - 3 - 4/3*p**3 + 0*p - 16/5*p**5 - 7/2*p**4 + g*p**2. What is x in a(x) = 0?
-1, -2/3, 0
Let s(a) be the first derivative of 0*a**3 + 1/8*a**4 + 1/12*a**6 - 1/5*a**5 + 2 + 0*a + 0*a**2. Factor s(k).
k**3*(k - 1)**2/2
Let b(p) = p**2 + p. Let k = 16 + -6. Let d(f) = 24*f**2 + 6*f. Let s(o) = k*b(o) - d(o). Solve s(m) = 0.
0, 2/7
Let n = -4/63 + 2/7. Let k(d) be the third derivative of 3*d**2 + 0*d + 0 + 1/36*d**5 - 1/9*d**4 - n*d**3. Let k(a) = 0. What is a?
-2/5, 2
Let p(u) be the first derivative of u**4/66 - 2*u**3/33 + u**2/11 - 4*u - 3. Let i(l) be the first derivative of p(l). What is r in i(r) = 0?
1
Let l be (-5 + 5)/(1*(-4 - -3)). Factor 0 - 1/3*k**2 + l*k - 1/3*k**3 + 1/3*k**5 + 1/3*k**4.
k**2*(k - 1)*(k + 1)**2/3
Let o(p) be the third derivative of -p**7/420 - p**6/180 - p**3/2 - p**2. Let y(n) be the first derivative of o(n). Determine u so that y(u) = 0.
-1, 0
Suppose -2*h - 2*h = 52. Let w be 2 - (-1 + h/(-7)). Factor 8/7*u - 12/7*u**2 - 2/7*u**4 + w*u**3 - 2/7.
-2*(u - 1)**4/7
Let y(s) be the second derivative of s**7/420 - 7*s**6/540 + s**5/36 - s**4/36 - 2*s**3/3 - 3*s. Let o(m) be the second derivative of y(m). Factor o(a).
2*(a - 1)**2*(3*a - 1)/3
Let j(y) be the second derivative of -y**4/90 + y**2/15 - 37*y. Factor j(h).
-2*(h - 1)*(h + 1)/15
Let p(q) be the first derivative of 0*q - 1/11*q**2 + 2/11*q**4 - 2/11*q**3 + 9. Factor p(x).
2*x*(x - 1)*(4*x + 1)/11
Let j(i) = -i**3 - 6*i**2 + 8*i + 4. Let l be j(-7). Let r be (-1)/l - (-22)/6. Factor 5*k + 2*k**r - 2 - 4*k - 4*k**3 + 3*k.
2*(k - 1)**3*(k + 1)
Let r(j) be the third derivative of j**7/75 - j**6/60 - 8*j**5/75 - j**4/15 - 7*j**2. Find a such that r(a) = 0.
-1, -2/7, 0, 2
Let u(y) be the first derivative of 75*y**5/2 + 75*y**4/8 - 45*y**3 - 39*y**2 - 12*y + 1. Suppose u(c) = 0. Calculate c.
-2/5, 1
Factor k + 0 + 3/2*k**2 - k**3 - 3/2*k**4.
-k*(k - 1)*(k + 1)*(3*k + 2)/2
Factor 0*o**5 - 8*o**4 + 3*o**2 + o**2 + 4*o**2 + 4*o**5 - 4*o.
4*o*(o - 1)**3*(o + 1)
Let p(q) = 11*q**5 - 22*q**4 + q**3 + 26*q**2 - 12*q - 2. Let m(d) = -d**5 - d**4 + d**3 - d**2 + 1. Let t(u) = -2*m(u) - p(u). Find r such that t(r) = 0.
-1, 0, 2/3, 1, 2
Let g = 41/4 + -10. Factor 1/4*w**2 - 1/4*w**3 + g*w - 1/4.
-(w - 1)**2*(w + 1)/4
Let q(l) be the first derivative of -9*l**4/20 - 7*l**3/15 + 2*l**2 - 4*l/5 - 11. Factor q(i).
-(i - 1)*(i + 2)*(9*i - 2)/5
Let p(b) = b**3 + 7*b**2 + 5*b + 4. Let w be p(-6). Let o = w + -8. What is j in 2/5*j**o + 2/5*j - 4/5 = 0?
-2, 1
Suppose u = 5*u. Let z be ((-1)/(u - -3))/(-1). Factor z*g**3 + g + 1/3 + g**2.
(g + 1)**3/3
Let v(a) be the third derivative of -a**8/168 - a**7/35 - a**6/20 - a**5/30 - 7*a**2. Factor v(p).
-2*p**2*(p + 1)**3
Let n(l) be the first derivative of l**8/48 + 2*l**7/35 + l**6/40 - l**5/30 + l**2 + 2. Let d(c) be the second derivative of n(c). Factor d(t).
t**2*(t + 1)**2*(7*t - 2)
Let a(w) be the third derivative of -w**7/105 + w**6/5 - 9*w**5/5 + 9*w**4 - 27*w**3 - 4*w**2. Factor a(b).
-2*(b - 3)**4
Let h = 222 + -220. Factor -30/11*j**h - 48/11*j**3 - 4/11*j + 0 + 32/11*j**4.
2*j*(j - 2)*(4*j + 1)**2/11
Suppose 175*f**2 - f - 2*f**3 - 183*f**2 - 9*f - 4 = 0. Calculate f.
-2, -1
Let a(s) be the second derivative of 0*s**2 - 1/25*s**6 - 5*s + 0*s**3 - 1/10*s**5