 -12 = 2*t + 3*k. Let l be (1 - -2)*2/(-3) - -4. Solve -2/5*r**3 + 0 + t*r**l + 0*r**4 + 1/5*r**5 + 1/5*r = 0 for r.
-1, 0, 1
Let p be (-44)/5250*(7 + 29). Let w = -2/125 - p. Factor w*a**3 + 2/7*a + 0 + 4/7*a**2.
2*a*(a + 1)**2/7
Let j(w) be the first derivative of -1/2*w**4 + 2/3*w**6 - 2*w**3 + 1 + 0*w - w**2 + 6/5*w**5. Solve j(s) = 0.
-1, -1/2, 0, 1
Let b(j) = j**2 - 12*j - 9. Let v be b(13). Factor -v*d**3 + d**2 - 3*d**3 + d**2 + 5*d**3.
-2*d**2*(d - 1)
Factor 4*d - 2 - 32*d**2 + 31*d**2 - 1.
-(d - 3)*(d - 1)
Let p(x) be the first derivative of 5*x**3/3 + 15*x**2 + 25*x + 8. Let p(g) = 0. Calculate g.
-5, -1
Let p(h) be the second derivative of h**7/42 + h**6/30 - 3*h**5/20 - h**4/12 + h**3/3 + 24*h. What is y in p(y) = 0?
-2, -1, 0, 1
Suppose 1/3*c**3 + 0 + 1/3*c**2 - 1/3*c - 1/3*c**4 = 0. Calculate c.
-1, 0, 1
Let q(u) be the third derivative of 1/360*u**6 + 5*u**2 - 1/90*u**5 + 0*u**3 + 0*u + 1/72*u**4 + 0. Factor q(f).
f*(f - 1)**2/3
Factor -75/7*o**5 + 33/7*o**3 - 12/7*o - 36/7*o**2 + 90/7*o**4 + 0.
-3*o*(o - 1)**2*(5*o + 2)**2/7
Determine m so that -1/3*m**2 - 1/6*m**4 + 2/3*m + 1/2 - 2/3*m**3 = 0.
-3, -1, 1
Let i(h) be the first derivative of -1/24*h**3 + 2 + 1/80*h**5 + 1/120*h**6 - 1/48*h**4 + 2*h + 0*h**2. Let p(c) be the first derivative of i(c). Factor p(k).
k*(k - 1)*(k + 1)**2/4
Let n be (-3)/(4/((-48)/9)). Suppose 9 = n*t + 1. Solve -1/3*p**t + 0*p + 1/3 = 0.
-1, 1
Factor -3 - 4*p**2 - 13 + 16*p + 0*p**2.
-4*(p - 2)**2
Suppose -2/7*g**4 + 2/7*g**2 - 2/7*g**3 + 0 + 2/7*g = 0. What is g?
-1, 0, 1
Let q(d) be the second derivative of -d**8/1680 - d**7/840 + d**6/360 + d**5/120 - d**3/2 + 2*d. Let m(p) be the second derivative of q(p). Factor m(g).
-g*(g - 1)*(g + 1)**2
Let g(z) be the first derivative of -z**6/30 + z**5/60 + z**4/18 - 6*z + 3. Let w(n) be the first derivative of g(n). Factor w(r).
-r**2*(r - 1)*(3*r + 2)/3
Let s(u) be the first derivative of 7/4*u**4 - 1 + 0*u + 1/2*u**2 - 5/3*u**3 - 3/5*u**5. Solve s(l) = 0.
0, 1/3, 1
Let f(y) be the second derivative of y**5/5 + 10*y**4/3 + 6*y**3 + 2*y + 22. Factor f(q).
4*q*(q + 1)*(q + 9)
Let u(z) = z**2 - 2. Let h be u(-2). Suppose -f + l + h = 0, -5*f - 3 = 5*l - 13. Factor 0*w**2 + 4*w - f*w - 4*w**2.
-2*w*(2*w - 1)
Let s(d) be the third derivative of -d**8/840 + d**6/150 - d**4/60 - 5*d**2. Suppose s(m) = 0. Calculate m.
-1, 0, 1
Let o(i) be the second derivative of -i**9/22680 + i**8/3360 - i**7/1260 + i**6/1080 + i**4/4 - 2*i. Let q(g) be the third derivative of o(g). Solve q(p) = 0.
0, 1
Let c = -6725564/1155 + 5823. Let o(s) be the third derivative of 0*s - 1/165*s**6 - 5*s**2 + 0 + c*s**7 + 0*s**3 + 1/66*s**5 - 1/66*s**4. Factor o(g).
2*g*(g - 2)*(g - 1)**2/11
Suppose 3*v + 0*v - 15 = 0. Suppose -v*j = -2*j - 6. What is o in -1/2*o + 0 - 2*o**4 + 1/2*o**3 + j*o**2 = 0?
-1, 0, 1/4, 1
Let n(s) be the second derivative of -s**5/15 - 16*s**4/9 - 154*s**3/9 - 196*s**2/3 + s + 51. Let n(g) = 0. Calculate g.
-7, -2
Let l(g) = -54*g**5 - 110*g**4 - 56*g**3 - 34. Let d(p) = -5*p**5 - 10*p**4 - 5*p**3 - 3. Let s(r) = -68*d(r) + 6*l(r). Suppose s(n) = 0. Calculate n.
-1, -1/4, 0
Let x be ((-3)/56)/((-10)/(80/18)). Let o(k) be the second derivative of 3*k + 0 - x*k**4 + 0*k**2 + 2/21*k**3. Factor o(g).
-2*g*(g - 2)/7
Let t(y) be the first derivative of y**3/3 + 9*y**2 + 81*y - 43. Factor t(d).
(d + 9)**2
Factor 3/2*f - 3/4*f**2 + 0.
-3*f*(f - 2)/4
Let z = -26 + 26. Let a(w) be the second derivative of z - 1/21*w**7 + 5/12*w**4 + 7/30*w**6 - 9/20*w**5 + 0*w**2 - 1/6*w**3 + 2*w. Factor a(n).
-n*(n - 1)**3*(2*n - 1)
Let v(l) = l**3 - 4*l**2 - 3*l - 7. Let t be v(5). What is i in -1 + 2 - 1 + t*i**3 = 0?
0
Let f(m) = 9*m**2 + 2*m - 7. Let u be 4/14 - (-188)/28. Let v(r) = 8*r**2 + 2*r - 6. Let b(o) = u*v(o) - 6*f(o). Factor b(y).
2*y*(y + 1)
Let i(p) be the first derivative of p**6/16 + 3*p**5/10 + 3*p**4/8 - p**3/4 - 15*p**2/16 - 3*p/4 - 5. Factor i(y).
3*(y - 1)*(y + 1)**3*(y + 2)/8
Let m(g) be the first derivative of g**3/7 + 3*g**2/14 - 12. Solve m(o) = 0.
-1, 0
Find p, given that -4*p**2 - 5*p**4 + 3*p**2 - p**2 + 7*p**2 = 0.
-1, 0, 1
Let g(p) be the second derivative of -p**4/48 - 11*p**3/24 - 3*p + 2. Factor g(k).
-k*(k + 11)/4
Factor 8*s + 4*s**4 - s**2 - 2*s**2 - 5*s**2 - 4*s**2.
4*s*(s - 1)**2*(s + 2)
Let i(z) = z**2 - 11*z - 22. Let b be i(13). Let w(o) be the second derivative of 3*o - 2/27*o**3 + 1/9*o**2 + 0 + 1/54*o**b. Factor w(v).
2*(v - 1)**2/9
Let z(i) be the first derivative of -i**3/4 - 15*i**2/16 - 9*i/8 - 17. Solve z(x) = 0 for x.
-3/2, -1
Factor -416 + 416 - 2*p**2 - 4*p.
-2*p*(p + 2)
Factor 5/3*m**3 + 65/3*m**2 + 115/3*m + 55/3.
5*(m + 1)**2*(m + 11)/3
Suppose -3/5*r**2 + 6/5*r + 0 = 0. Calculate r.
0, 2
Let i be 2/(-27)*-3*3. Let g(m) be the first derivative of i*m**3 + 0*m - 1/2*m**4 - 1 + 2*m**2. What is h in g(h) = 0?
-1, 0, 2
Let x(o) be the first derivative of -8/3*o**3 + 12*o**2 - 18*o + 5. Solve x(t) = 0.
3/2
Let y(m) be the first derivative of 2/33*m**3 - 4/11*m**2 + 6/11*m + 7. Find u, given that y(u) = 0.
1, 3
Let d(h) = -h**2 - 4*h + 2. Let c(f) be the first derivative of 2*f**3/3 + 9*f**2/2 - 5*f - 2. Let y(o) = 2*c(o) + 5*d(o). Determine g so that y(g) = 0.
-2, 0
Find p such that 3*p**2 - 9*p - 4 + 4 + p**3 + 11*p = 0.
-2, -1, 0
Suppose -6*j + 8*j + 10 = 0. Let k be 1/j + 33/15. Determine v so that 0 + 1/5*v**k - 2/5*v = 0.
0, 2
Let g be 3 + (-124)/44 + (-120)/(-66). Factor 3/5*j**g - 6/5*j**3 + 0 - 3/5*j**4 + 6/5*j.
-3*j*(j - 1)*(j + 1)*(j + 2)/5
Factor 2 + 9*o**3 + 7*o**4 + 3*o - 10*o**4 - 2 - 9*o**2.
-3*o*(o - 1)**3
Let r = -1645/2 - -828. Let r*y**3 + 2*y + 4/3 - 23/3*y**2 - 7/6*y**4 = 0. What is y?
-2/7, 1, 2
Factor b**3 + b - 3*b + b - b**4 + b**2.
-b*(b - 1)**2*(b + 1)
Let g(p) be the third derivative of -p**7/30 - p**6/60 + 7*p**5/20 - p**4/3 - 2*p**3/3 - 18*p**2 - p. Factor g(l).
-(l - 1)**2*(l + 2)*(7*l + 2)
Let u(x) be the third derivative of x**7/735 - x**6/84 + 4*x**5/105 - x**4/21 - 5*x**2. Factor u(c).
2*c*(c - 2)**2*(c - 1)/7
Let v(i) = -i - 8. Let s be v(-7). Let c(k) = k**4 - 2*k**3 + k**2 + 4*k + 4. Let b(r) = -r**2. Let q(a) = s*c(a) - 4*b(a). Factor q(o).
-(o - 2)**2*(o + 1)**2
Let f(q) = 6*q**4 + 14*q**3 + 6*q**2 + 4*q - 2. Let d(a) = -a**5 - a**2 - a**4 + a**3 + a - 7 + 5 + 1. Let c = 1 + 0. Let r(w) = c*f(w) - 2*d(w). Factor r(s).
2*s*(s + 1)**4
Factor -8 + 12 + 3*s**2 - 2*s - 5*s**2.
-2*(s - 1)*(s + 2)
Let d(j) = j**2. Let i(l) = -3*l**2 - l - 2. Let c(x) = 4*d(x) + i(x). Factor c(a).
(a - 2)*(a + 1)
Let s(c) = -c + 7. Let x be s(3). Let r(g) = 3*g - 10. Let w be r(x). Solve -w - 2*v - 1/2*v**2 = 0 for v.
-2
Let m(p) be the first derivative of -p**6/3 - 2*p**5 - 3*p**4 + 4*p**3/3 + 7*p**2 + 6*p - 17. Factor m(d).
-2*(d - 1)*(d + 1)**3*(d + 3)
Suppose 5*g + 8 = 9*g. Factor -2/9 + 8/9*c**3 - 2*c**g + 4/3*c.
2*(c - 1)**2*(4*c - 1)/9
Let y(d) = -2*d**2 + d + 1. Let m(g) = g**4 - g**3 + g**2 - 1. Let q(p) = 3*m(p) + 3*y(p). Factor q(z).
3*z*(z - 1)**2*(z + 1)
Let m(b) = -b**4 + 14*b**3 - b**2. Let a(r) = 10*r**4 - 155*r**3 + 10*r**2. Let j(w) = -4*a(w) - 45*m(w). Factor j(u).
5*u**2*(u - 1)**2
Let n(y) be the second derivative of 0 + 1/10*y**5 + 1/15*y**6 - 1/6*y**4 + 5*y - 1/21*y**7 + 0*y**2 + 0*y**3. Solve n(w) = 0 for w.
-1, 0, 1
Suppose 3*k + 1 = 10. Factor -x - x - 6*x**2 - 4*x**k - 2*x - 1 - x**4 + 0.
-(x + 1)**4
Let a(n) be the third derivative of -2*n**2 - 1/840*n**7 + 0 - 1/240*n**6 + 0*n + 0*n**4 - 1/240*n**5 + 0*n**3. Factor a(j).
-j**2*(j + 1)**2/4
Let a(k) be the first derivative of k**7/840 - k**5/120 - k**3/3 + 3. Let f(h) be the third derivative of a(h). Solve f(x) = 0.
-1, 0, 1
Factor 12*i + 3*i**4 - 30*i**3 - 2*i**4 + 5*i**4 - 15*i**2 + 9*i**3.
3*i*(i - 4)*(i + 1)*(2*i - 1)
Suppose -n - 79 = -3*n - 5*b, -2*n = 2*b - 70. Let u be ((-8)/(-66))/(n/144). Solve -130/11*s**3 + u*s**2 + 100/11*s**4 - 8/11 + 32/11*s = 0.
-1/2, 2/5, 1
Let c(r) be the third derivative of r**9/6048 - r**8/3360 - r**7/1680 + r**6/720 - r**3/3 - 3*r**2. Let o(i) be the first derivative of c(i). Factor o(t).
t**2*(t - 1)**2*(t + 1)/2
Let p be (3/5)/((-108)/(-120)). Find l such that 0 - p*l - 2*l**2 - 2/3*l**4 - 2*l**3 = 0.
-1, 0
Let g = -4/15 + 14/15. Suppose -6 = 5*k + 3*j, 6*j - j + 10 = -2*k. Factor 4/3*m**2 - 2/3*m + k - g