 Factor c(t).
-2*(t - 1)**3*(t + 1)**2
Let g(j) be the second derivative of j**4/24 + j**3/3 + j**2 - 4*j. Find h such that g(h) = 0.
-2
Let t = -98 + 101. Determine v so that 1/3*v**t + 0 + 1/3*v**2 - 1/3*v**5 - 1/3*v**4 + 0*v = 0.
-1, 0, 1
Suppose 20 = -2*h + 4. Let m = -8 - h. What is b in -3*b**2 + m*b + 5*b**2 - b + 3*b = 0?
-1, 0
Let t(q) be the second derivative of -q**5/50 + q**4/10 - q**3/5 + q**2/5 - 6*q. Suppose t(p) = 0. Calculate p.
1
Factor 0*k**2 + 2/15*k**3 + 0 + 0*k.
2*k**3/15
Let b be (4/(-10))/((-2)/10). Let z(f) = f**2 + 2*f - 3. Let w be z(-3). Solve 0*j**b + w*j + j**2 + j = 0.
-1, 0
Let f(w) = w**3 - 3*w**2 - 3*w - 1. Let s be f(3). Let j be 0 + 3 + 26/s. Let -2/5*n + j + 2/5*n**3 - 2/5*n**2 = 0. Calculate n.
-1, 1
Let m(n) = n - 7. Let p be m(10). Factor 9*y**3 + 4*y**5 + 9*y**4 + 3*y**2 + 0*y**p - y**5.
3*y**2*(y + 1)**3
Let g(t) be the third derivative of t**7/1470 + t**6/280 + t**5/140 + t**4/168 - 14*t**2. Suppose g(h) = 0. What is h?
-1, 0
Let x(n) be the first derivative of n**8/168 - n**6/60 - 3*n**2 - 5. Let z(g) be the second derivative of x(g). Factor z(c).
2*c**3*(c - 1)*(c + 1)
Let k(q) be the first derivative of 2*q**3/21 - 2*q**2/7 + 2*q/7 + 5. Determine w so that k(w) = 0.
1
Let l = -48 + 52. Determine u, given that 0*u**2 - 1/4*u**3 + 0*u**l + 0 + 0*u + 1/4*u**5 = 0.
-1, 0, 1
Let q(u) be the third derivative of u**8/1344 + u**7/280 - u**5/60 + 9*u**2. Determine p, given that q(p) = 0.
-2, 0, 1
Let q be (30 - 28) + 2/(-4). Find w such that q*w**2 + w + 6*w**4 + 0 - 17/2*w**3 = 0.
-1/4, 0, 2/3, 1
Factor -1/10*a**3 + 0*a**2 + 0 + 1/10*a.
-a*(a - 1)*(a + 1)/10
Let d(o) be the first derivative of 1/6*o**3 - 2*o + 1/3*o**2 + 1/36*o**4 - 2. Let x(r) be the first derivative of d(r). Suppose x(s) = 0. Calculate s.
-2, -1
Factor -1/10*u + 1/10*u**2 + 0.
u*(u - 1)/10
Determine h so that -16*h**3 - 4*h**4 - 12*h**2 + 29*h**5 - 25*h**5 - 4*h**3 = 0.
-1, 0, 3
Let l be (35/(-10) - -4)*6. Factor 0 + 1/3*r**l + 2/3*r**2 + 1/3*r.
r*(r + 1)**2/3
Let w(v) = -v**2 - v + 4. Let h be w(3). Let b(o) = o**2 + 6*o. Let d be b(h). Factor 33*i**2 + 9*i + d*i**4 + 1 + 48*i**3 + i - 8*i**3.
(i + 1)**2*(4*i + 1)**2
Factor 10/3*j + 0 + 2/3*j**2.
2*j*(j + 5)/3
Let f(d) = -d**5 + d**4 - 1. Let u(z) = -3*z**5 + 5*z**4 + 6*z**3 - 10*z**2 - z + 5. Let r(c) = -6*f(c) - 3*u(c). Factor r(w).
3*(w - 1)**3*(w + 1)*(5*w + 3)
Let 12/5 - 9/5*w - 3/5*w**2 = 0. Calculate w.
-4, 1
Let g(j) be the third derivative of -j**7/840 - j**6/80 + 26*j**2. Factor g(v).
-v**3*(v + 6)/4
Suppose 17/5*u - u**2 - 6/5 = 0. What is u?
2/5, 3
Let z = 20 + -15. Let m(l) = -l**3 + 4*l**2 + 4*l + 5. Let w be m(z). Determine f, given that 2*f**4 + 0 + 1/3*f**5 + 4*f**3 + w*f + 8/3*f**2 = 0.
-2, 0
Let w(o) be the first derivative of o**4/22 + 8*o**3/33 + 20. Factor w(f).
2*f**2*(f + 4)/11
Suppose -4*i - 3*f + 6 = -3*i, -f = -2*i - 2. Factor -1/5*g**3 + 0*g + i*g**2 + 0 - 1/5*g**4.
-g**3*(g + 1)/5
Let j(k) be the first derivative of 0*k + 1/2*k**2 - 2 + 1/180*k**6 + 0*k**3 + 0*k**4 - 1/90*k**5. Let y(a) be the second derivative of j(a). Factor y(f).
2*f**2*(f - 1)/3
Let x be 2/9 + (-1064)/(-936). Let i = x - 9/13. Solve i*o + 2/3*o**2 + 0 = 0.
-1, 0
Let c(k) be the second derivative of k**6/60 - k**5/30 + 5*k**2/2 - 10*k. Let t(b) be the first derivative of c(b). Solve t(w) = 0 for w.
0, 1
Let x(y) = -9*y**5 + 4*y**4 + 5*y**3 - 13*y**2 + 13*y - 13. Let q(u) = 4*u**5 - 2*u**4 - 2*u**3 + 6*u**2 - 6*u + 6. Let r(a) = -13*q(a) - 6*x(a). Factor r(i).
2*i**3*(i - 1)*(i + 2)
Suppose -z - l + 4 = 0, 4*z - 5*z = 2*l - 7. Factor -1/2*i + z - 1/2*i**2.
-(i - 1)*(i + 2)/2
Let n(g) be the third derivative of -5*g**2 + 0*g**3 + 0 + 0*g - 1/100*g**5 - 1/600*g**6 - 1/60*g**4. Factor n(q).
-q*(q + 1)*(q + 2)/5
Suppose -3*w - 2*w = -10. Let m(v) be the second derivative of 1/6*v**4 + 0 + w*v + 0*v**3 - v**2. Suppose m(j) = 0. What is j?
-1, 1
Let z(j) = -j**2 - 15*j - 14. Let v be z(-1). Find s, given that -1/3*s**4 - 1/3*s**3 + v + 1/3*s**2 + 1/3*s = 0.
-1, 0, 1
Let o(g) be the third derivative of -g**8/840 - 2*g**7/525 + g**5/75 + g**4/60 - 19*g**2. Suppose o(b) = 0. What is b?
-1, 0, 1
Factor 2*z**2 - 13*z - 4*z**2 + 9 + 5*z**2 + z.
3*(z - 3)*(z - 1)
Let h = 102 + -98. Let x(t) be the second derivative of 0 - 2/5*t**5 - 4/3*t**3 - 2*t + t**h + 1/15*t**6 + t**2. Factor x(v).
2*(v - 1)**4
Let x(r) = 1 - 2*r - 4*r**2 + 8 - 4 + r**3. Let j(m) = -m**3 + 3*m**2 + 2*m - 4. Let t(p) = -5*j(p) - 4*x(p). Suppose t(h) = 0. Calculate h.
-2, 0, 1
Suppose 0 = -2*t + 2 + 14. Suppose -1 = 4*n - 9. Factor n - t*r + 7/2*r**2.
(r - 2)*(7*r - 2)/2
Let t(f) be the third derivative of 0 + 0*f**4 - 1/20*f**5 + 0*f - 5*f**2 + 0*f**3 + 1/40*f**6. Find u, given that t(u) = 0.
0, 1
Let u = 2623/2289 - 1/327. Let 12/7*d + 4/7 + u*d**2 = 0. Calculate d.
-1, -1/2
Let z(g) = -g**2 + g + 1. Let m(j) = j**3 + j**2 + j + 1. Let c(o) = 4*m(o) - 4*z(o). Factor c(p).
4*p**2*(p + 2)
Suppose -3*f**5 + 43 + 25*f - 132*f**2 - 43 - 90*f**3 - 97*f - 27*f**4 = 0. Calculate f.
-3, -2, 0
What is p in -16/7*p**2 - 2*p**3 - 4/7*p**4 - 6/7*p + 0 = 0?
-3/2, -1, 0
Let w(p) be the third derivative of -p**7/420 + p**5/20 + p**4/6 - p**3/6 + 2*p**2. Let t(l) be the first derivative of w(l). Factor t(u).
-2*(u - 2)*(u + 1)**2
Let u(t) be the second derivative of -t**7/168 + t**6/60 - t**5/80 - 35*t. Factor u(f).
-f**3*(f - 1)**2/4
Let z(a) = a**2 - 12*a. Let t be z(12). Let b(p) be the third derivative of 0 + 0*p + 2*p**2 + 1/30*p**5 + 1/12*p**4 + t*p**3. Factor b(d).
2*d*(d + 1)
Find l, given that 2/5*l**5 + 0 + 6/5*l**4 + 2/5*l**3 - 6/5*l**2 - 4/5*l = 0.
-2, -1, 0, 1
Let v(r) be the second derivative of 0*r**2 + 0 + 2/9*r**3 + r - 1/9*r**4 + 1/60*r**5. Determine x, given that v(x) = 0.
0, 2
Suppose 0 = -4*w + 5*n - 3 + 31, 0 = -4*w - 4*n + 64. Suppose 4*p**3 + 4*p**3 - w*p**2 + 2*p + 3*p**2 - p**2 = 0. What is p?
0, 1/4, 1
Find m such that 6/5*m + 0*m**2 - 2/5*m**3 + 4/5 = 0.
-1, 2
Let u(z) be the first derivative of z**4/10 + 2*z**3/5 - 8*z/5 + 7. Find c, given that u(c) = 0.
-2, 1
Let o be 0 - -1*2*-1. Let z = o - -4. Determine q, given that 4*q**2 - 3*q**2 + q**2 - q**4 - q**4 - 2*q**3 + z*q**5 = 0.
-1, 0, 1
Let w(b) = b**5 - b**4 + b**3 - 3*b**2 + 4*b - 2. Let s(m) = -4*m**5 + 4*m**4 - 2*m**3 + 8*m**2 - 13*m + 7. Let x(i) = 2*s(i) + 7*w(i). Factor x(c).
-c*(c - 1)**3*(c + 2)
Suppose -5*a - 181 + 191 = 0. Let -2/5*m + 1/5 + 1/5*m**a = 0. What is m?
1
Let m(j) be the second derivative of j**7/1260 - j**5/180 + 2*j**3/3 + 3*j. Let w(z) be the second derivative of m(z). Factor w(x).
2*x*(x - 1)*(x + 1)/3
Factor -74*k**4 + 58*k**4 + 4*k**3 + 16*k**2 - k + 2*k - 5*k.
-4*k*(k - 1)*(k + 1)*(4*k - 1)
Let j be ((-6)/3 - -1)*-2. Let q = -2 + 6. Determine p so that -2*p**4 - 4*p**3 + q*p**2 + j*p**5 - 7 + 2*p + 3 + 2 = 0.
-1, 1
Let u(k) be the second derivative of 0*k**3 - k + 0*k**5 - k**2 + 0 + 0*k**6 + 0*k**4 - 1/315*k**7. Let s(c) be the first derivative of u(c). Factor s(q).
-2*q**4/3
Let g = -182 - -184. Suppose 0 + 2/3*i**g + 0*i - 2/3*i**4 + 0*i**3 = 0. Calculate i.
-1, 0, 1
Suppose 4*o + 2*p = -0*p + 16, 4 = -2*p. Suppose r - 3*r = -4. Find z, given that 2/7 - 16/7*z**4 - 10/7*z + 2/7*z**3 + r*z**2 + 8/7*z**o = 0.
-1, 1/2, 1
Let m be ((-1)/2)/(3/6). Let o be (-8 - -8) + (m - -1). Determine q, given that 2/3*q**3 + o + 1/3*q**2 + 1/3*q**4 + 0*q = 0.
-1, 0
Let s(n) be the first derivative of n**4/12 - n**2/6 - 12. Find k such that s(k) = 0.
-1, 0, 1
Let t(v) be the first derivative of -v**4/2 - 2*v**3/3 - 18. Factor t(a).
-2*a**2*(a + 1)
Let h(n) = -2 - 3*n + 0*n + n**2 + n**2 - n**2. Let z be h(4). Find v, given that -2/3*v**z + 4/3*v - 2/3 = 0.
1
Let x = 30 + -119/4. Factor 1/4*k + 1/4*k**2 - x*k**3 - 1/4.
-(k - 1)**2*(k + 1)/4
Let f = -2 - -5. Suppose -4*l = 2*n - 10, 11 = f*l - n + 6*n. Factor 2*g**l + 3*g**2 + g**3 - 1 + 2*g**2 - g - 6*g**2.
(g - 1)*(g + 1)**2
Let u = -33 + 57. Let i be (6/8)/(12/u). Factor -9/2*y**2 - 3/2 - i*y**3 - 9/2*y.
-3*(y + 1)**3/2
Let g = -465/8 - -20933/360. Let c(j) be the second derivative of -g*j**6 - 1/6*j**4 - 1/10*j**5 + 0 - 1/9*j**3 + 4*j + 0*j**2. Let c(v) = 0. Calculate v.
-1, 0
Let j(m) = -3*m**3 - 2*m**2 + 5*m - 2. Let g(v) = -10 - 4 + 5 - 3*v**3 + 21*v - 9*v**3 - 9*v**2. Let b(l) = 2*g(l) - 9*j