hat -2*c**r + 2*c + c + 7*c**2 - 2*c**2 = 0.
-1, 0
Find f such that 3/2*f**2 + 1/2 + 2*f = 0.
-1, -1/3
Solve -6*w + 26*w**2 + 26*w**2 - 70*w**2 + 21*w**2 = 0 for w.
0, 2
Let l(a) be the third derivative of -a**6/420 - 2*a**5/105 - 5*a**4/84 - 2*a**3/21 - 3*a**2. Factor l(s).
-2*(s + 1)**2*(s + 2)/7
Let j(l) = -4*l - 6. Let p be j(-3). Let g(u) be the first derivative of -1/24*u**p + 0*u**2 + 0*u + 1/12*u**3 - 1/20*u**5 + 2 + 1/16*u**4. Factor g(q).
-q**2*(q - 1)*(q + 1)**2/4
Let u = -2/189 + 128/189. Factor l**2 + 0 + u*l + 1/3*l**3.
l*(l + 1)*(l + 2)/3
Let y(c) be the third derivative of -1/24*c**3 + 0*c + 1/96*c**4 + 0 + 1/240*c**5 - 2*c**2 - 1/480*c**6. Factor y(d).
-(d - 1)**2*(d + 1)/4
Let y(u) be the second derivative of 0 - 3/20*u**5 - 3*u - 1/4*u**4 + 1/10*u**6 + 0*u**2 + 1/2*u**3. Determine t so that y(t) = 0.
-1, 0, 1
Let h(j) be the second derivative of j**4/18 + 4*j**3/9 + j**2 + 29*j. Factor h(y).
2*(y + 1)*(y + 3)/3
Suppose -3*i - 2*i = 0. Let m(r) be the second derivative of 0 + 1/42*r**7 + 1/3*r**4 + i*r**2 + 2/15*r**6 + r + 3/10*r**5 + 1/6*r**3. Solve m(a) = 0 for a.
-1, 0
Let p(b) be the third derivative of b**6/660 - b**4/132 + 24*b**2. Factor p(o).
2*o*(o - 1)*(o + 1)/11
Suppose -2 = -k - 4*j + 2, -5*j = -5. Suppose 2*h + z - 7 = k, -2*h + z = 4*z - 9. Factor 2/9*q**5 + 0*q**4 + 2/9*q + 0*q**2 - 4/9*q**h + 0.
2*q*(q - 1)**2*(q + 1)**2/9
Let q(k) = k - 5. Let z be q(8). Factor -f + 2*f**z + 2*f**5 - 2*f**5 + 4*f**5 - 5*f**5.
-f*(f - 1)**2*(f + 1)**2
Let c(d) be the second derivative of d**7/525 - d**5/150 - 3*d**2/2 - 3*d. Let o(y) be the first derivative of c(y). Determine v, given that o(v) = 0.
-1, 0, 1
Suppose 6*x = 8*x. Let m(i) be the second derivative of 1/54*i**4 + 1/90*i**5 + 0*i**2 - i + x + 0*i**3. Suppose m(p) = 0. Calculate p.
-1, 0
Let h be (2/4 + 0)*2. Determine d so that -d**2 + h + d**3 + 4*d**2 - 4*d + d - 2*d**3 = 0.
1
Let o(f) = f**5 - f**4 + 10*f**3 + 6. Let d(w) = -w**5 + w**4 - 1. Let j(v) = 6*d(v) + o(v). Let j(b) = 0. Calculate b.
-1, 0, 2
Let z(g) = g**2 - 8*g - 2. Let r be z(9). Let x be (-20)/8*r/(-10). Determine k so that -1/2 + x*k - 5/4*k**2 = 0.
2/5, 1
Let c be 4/26 - 6/39. Factor 3*d**3 - 5*d**3 - 2*d**2 + c*d**3.
-2*d**2*(d + 1)
Let r(z) be the third derivative of z**5/20 - z**4/2 + 2*z**3 + 15*z**2. Factor r(p).
3*(p - 2)**2
Let 26*l**3 - 1 + 25*l**3 - 5*l**2 - 56*l**3 + 6 + 5*l = 0. What is l?
-1, 1
Let h(x) be the third derivative of -x**8/4200 + x**7/2100 - x**3/3 + 3*x**2. Let g(u) be the first derivative of h(u). Let g(b) = 0. Calculate b.
0, 1
Let s = 421/6 + -70. Solve 1/3 - 1/6*h**4 - s*h**2 - 1/2*h**3 + 1/2*h = 0 for h.
-2, -1, 1
Suppose 0 = g - 2*s + 2, 3*s - 16 = -3*g - 2*s. Suppose 1/2*v**g - 1/2 + 0*v = 0. Calculate v.
-1, 1
Let h = -121/13 + 281/26. Let 3*k**2 - h*k**5 + 2*k + 1/4 - 1/2*k**3 - 13/4*k**4 = 0. Calculate k.
-1, -1/6, 1
Factor -4/7*y**4 + 4/7*y - 4/7 - 8/7*y**3 + 4/7*y**5 + 8/7*y**2.
4*(y - 1)**3*(y + 1)**2/7
Let c(d) = d**3 - d**2 - d + 1. Suppose -5*m = -s + 9 + 4, -16 = -4*s + 2*m. Let u(o) = o**2 - 1. Let g(w) = s*c(w) + 3*u(w). Factor g(n).
3*n*(n - 1)*(n + 1)
Let x(a) be the third derivative of a**7/525 - a**6/150 - a**5/150 + a**4/30 + 8*a**2. Solve x(b) = 0 for b.
-1, 0, 1, 2
Let s(n) be the second derivative of n**9/22680 - n**4/4 + 2*n. Let c(f) be the third derivative of s(f). What is u in c(u) = 0?
0
Let m(b) be the first derivative of b**5/360 - b**4/48 + b**3/18 - b**2/2 - 3. Let a(r) be the second derivative of m(r). Determine p, given that a(p) = 0.
1, 2
Let x(y) be the second derivative of 0 + 0*y**2 - y - 1/18*y**3 + 1/60*y**5 + 0*y**4. Solve x(k) = 0 for k.
-1, 0, 1
Factor -x + x + 32 + 4*x**2 - 36.
4*(x - 1)*(x + 1)
Let p(r) be the third derivative of -r**5/80 + r**4/16 + 14*r**2. Factor p(a).
-3*a*(a - 2)/4
Let c = -4 + 3. Let i be (7 - 4)/(c + 2). Factor -3*n**4 + 5/4*n**5 + 0 + 0*n - 1/2*n**2 + 9/4*n**i.
n**2*(n - 1)**2*(5*n - 2)/4
Let b(k) = 6*k**2 - 26*k + 38. Let w(p) = 19*p**2 - 79*p + 115. Let n(h) = -7*b(h) + 2*w(h). Solve n(r) = 0 for r.
3
Let m = -99 - -103. Find p such that 3/2*p**2 - 6*p**5 + 0*p - 3*p**3 + 0 - 21/2*p**m = 0.
-1, 0, 1/4
Let v = 107/114 - -15/38. Let 0 + 4/3*y**5 - 20/3*y**2 - 4*y**3 - 8/3*y + v*y**4 = 0. What is y?
-1, 0, 2
Let c be (-1)/((-15)/33) - 2. Factor 0 + c*v - 1/5*v**2.
-v*(v - 1)/5
Suppose 2*s = -2*s + 16. Suppose -3*i - 4 = 4*m, 0 = -3*i + 2*m + 2. Factor 0 - 10/7*b**3 + 8/7*b**s + i*b + 2/7*b**2.
2*b**2*(b - 1)*(4*b - 1)/7
Let h(z) be the second derivative of 0*z**4 + 3*z - 1/40*z**5 + 0 + 0*z**2 + 1/12*z**3. Let h(c) = 0. Calculate c.
-1, 0, 1
Factor 12*y - 5*y**2 - y**2 - 12*y**3 + 8 + 2*y**2 - 4*y**4.
-4*(y - 1)*(y + 1)**2*(y + 2)
Let x(s) be the second derivative of -s**7/1260 + 11*s**6/3240 - s**5/270 + s**4/12 + s. Let r(y) be the third derivative of x(y). Factor r(b).
-2*(b - 1)*(9*b - 2)/9
Suppose 0 = -0*j - j + 5*d - 15, 15 = 5*d. Let b(v) be the third derivative of j*v**3 - 1/36*v**4 + 0 + 0*v + 1/90*v**5 - v**2. Let b(m) = 0. Calculate m.
0, 1
Let a(f) = 2*f**4 - 4*f**3 + 4*f + 4. Let t(r) = -r**3 + r + 1. Let l = -7 + 7. Let y = 1 - l. Let m(h) = y*a(h) - 4*t(h). Let m(n) = 0. Calculate n.
0
Determine g, given that 0 + 3/4*g - 15/8*g**4 + 27/8*g**3 + 3/8*g**5 - 21/8*g**2 = 0.
0, 1, 2
Let q = 1/9 - -1/18. Let f(n) be the second derivative of 0*n**6 + 4/21*n**7 - 3/10*n**5 + 0*n**3 - q*n**4 + 0*n**2 + n + 0. Factor f(z).
2*z**2*(z - 1)*(2*z + 1)**2
Let n(i) = -i - 8. Let j be -9 + -2 + 0 + 3. Let u be n(j). Let 1/3*w**3 + u + 2/3*w**2 + 1/3*w = 0. Calculate w.
-1, 0
Factor 0 + 0*l + 1/3*l**4 - 1/3*l**3 + 1/3*l**5 - 1/3*l**2.
l**2*(l - 1)*(l + 1)**2/3
Determine b so that -5/2*b + 1/2*b**2 - 3 = 0.
-1, 6
Let l = -29 + 31. Let w(z) be the first derivative of 2/15*z**3 + 0*z + 0*z**l + 3/25*z**5 + 1 + 1/4*z**4. Determine a so that w(a) = 0.
-1, -2/3, 0
Let b(j) = j**3 - 2*j**2 + 4*j - 4. Let h be b(2). Factor 0 + 17/2*s**3 - 5/2*s**h + 2*s - 8*s**2.
-s*(s - 2)*(s - 1)*(5*s - 2)/2
Determine s so that 2/13*s - 2/13*s**2 + 0 = 0.
0, 1
Let r(i) be the first derivative of -i**7/1260 + i**6/180 - i**5/90 + 5*i**3/3 + 4. Let x(s) be the third derivative of r(s). Suppose x(a) = 0. What is a?
0, 1, 2
Let p(z) = -2*z**3 - z**2 + 3. Let u(v) = -3*v**3 - v + 4. Let g(r) = -4*p(r) + 3*u(r). Factor g(i).
-i*(i - 3)*(i - 1)
Let f(w) be the first derivative of -w**4/48 + w**3/24 - w - 3. Let i(b) be the first derivative of f(b). Factor i(u).
-u*(u - 1)/4
Suppose -4*i - 25 = -3*l, -2*i + 3*i = -l - 15. Let b(m) = m**3 + 10*m**2 + m + 12. Let w be b(i). Factor 3*z**3 + 3 + 9*z**w + 0 + 3 - 3 + 9*z.
3*(z + 1)**3
Let 11*c**2 - 24*c**2 - 3*c + 4*c + 14*c**2 = 0. Calculate c.
-1, 0
Let p = 5 + -2. Solve 7*f**2 - 133*f + 137*f + 15*f**2 + 18*f**p = 0 for f.
-1, -2/9, 0
Let k be ((-3)/(-5))/((-5)/(-25)). Suppose 3*a**4 + a**3 - k*a**4 + 3*a**4 - 12*a**2 + 4*a + 4*a**2 = 0. What is a?
-2, 0, 2/3, 1
Let v(y) be the third derivative of y**6/60 - y**5/30 - y**4/2 + 4*y**2. Factor v(s).
2*s*(s - 3)*(s + 2)
Suppose -53 = 2*g + f, -g - f + 1 = 30. Let h be -4 - (g/5 + 0). Factor 0 + 6/5*o**2 - h*o - 2/5*o**3.
-2*o*(o - 2)*(o - 1)/5
Determine w so that 2 + 10*w**2 - 19*w**2 - 10 + 11*w**2 = 0.
-2, 2
Let q(x) = 2*x**2 - 8*x + 11. Let l(c) = -6*c**2 + 24*c - 32. Let j(f) = -3*l(f) - 8*q(f). Find a, given that j(a) = 0.
2
Let p(v) be the first derivative of -2*v**5/9 - 23*v**4/18 - 20*v**3/9 - 4*v**2/9 + 16*v/9 + 7. Let p(o) = 0. What is o?
-2, -1, 2/5
Suppose 2*i + 3*i = 10. Let a = -289/2 + 148. Factor -9/2*w**i + 0 - w - a*w**3.
-w*(w + 1)*(7*w + 2)/2
Suppose 0*b - 5*b + 10 = 0. Factor -4 - 5*f**2 + 4*f - 2*f + 11*f**2 - b*f**3 - 2*f**4.
-2*(f - 1)**2*(f + 1)*(f + 2)
Suppose -5 = -6*t + t. Let a = -1/2 + t. Factor 1/2*q**3 - a*q + 1/2*q**2 - 1/2.
(q - 1)*(q + 1)**2/2
Suppose 2*l - 8*l = -6. Let x(h) be the first derivative of 0*h + l + 1/4*h**4 - 1/2*h**2 - 2/5*h**5 + 2/3*h**3. Let x(v) = 0. Calculate v.
-1, 0, 1/2, 1
Let v be 0 - 7/(35/10). Let x be 2 - (2 + v/9). Factor 4/9 - 2/9*c**2 + x*c.
-2*(c - 2)*(c + 1)/9
Let d(l) be the second derivative of l**4/12 - 5*l**3/6 + 2*l**2 + 4*l. Factor d(o).
(o - 4)*(o - 1)
Let y(b) be the first derivative of 0*b + 2/3*b**3 - 1 - 1/150*b**5 - 1/900*b**6 + 0*b**2 - 1/60*b**4. Let f(c)