.
4*g*(g - 1)*(g + 1)**3
Let u be (1/1)/(1/2). Let p(m) = m**2 - m - 1. Let f be p(-2). Factor 2*k**2 + 2*k**u - k**f - 6*k**3 - k + k**4 + 3*k**4.
-k*(k - 1)**4
Suppose 6*s = s + 5, -3*s = 4*j - 79. Let i = -17 + j. Solve 1/3*m**i + 1/3 + 2/3*m = 0.
-1
Let k(h) = 6*h**2 - h + 15. Let z(u) = 5*u**2 + 16. Let d(t) = 4*k(t) - 5*z(t). Let p(c) = c - 1. Let x(l) = d(l) - 4*p(l). Find b, given that x(b) = 0.
-4
Determine m, given that 16/3*m - 16/3*m**2 + 0 + 4/3*m**3 = 0.
0, 2
Let c(g) be the first derivative of -1/9*g**3 + 1/6*g**2 + 1/36*g**4 - 2*g - 1. Let s(q) be the first derivative of c(q). Suppose s(k) = 0. Calculate k.
1
Let k(p) be the second derivative of -p**4/4 - 3*p**3 + 21*p**2/2 + 9*p. Factor k(f).
-3*(f - 1)*(f + 7)
Let c(f) be the third derivative of -f**5/105 - 4*f**4/21 - 32*f**3/21 + 2*f**2 + 11*f. Factor c(o).
-4*(o + 4)**2/7
Let u(c) = 4*c**2 + 16*c + 2. Let w be u(-4). Find h such that 0*h + 2/7 - 2/7*h**w = 0.
-1, 1
Let y(s) be the second derivative of -1/5*s**2 + 1/150*s**6 - 1/6*s**3 + 0 + s - 1/20*s**4 + 1/100*s**5. Suppose y(g) = 0. Calculate g.
-1, 2
Suppose 0 = -4*x + 12. Let z be 0/(x + -8 + 2). Factor z*a + 0 + 3/2*a**2.
3*a**2/2
Factor -3*j + 2*j - 1 + 3*j**3 - 2*j**3 + j**2.
(j - 1)*(j + 1)**2
Determine n, given that -2*n**2 - 1 - 5/2*n - 1/2*n**3 = 0.
-2, -1
Let h = 2 - 8/5. Solve 12/5*x**2 + 16/5 - 24/5*x - h*x**3 = 0 for x.
2
Let f be -4 + 3 - (-1 - 0). Factor 1/4*v**3 + f*v + 0*v**2 + 0.
v**3/4
Let c(f) be the second derivative of -f**4/3 - 8*f. Find w, given that c(w) = 0.
0
Let c(x) be the second derivative of 2/35*x**5 + 4/21*x**6 - 2/7*x**2 - 3/7*x**4 + 0 - 3*x + 3/49*x**7 - 13/21*x**3. Determine q, given that c(q) = 0.
-1, -2/9, 1
Let n(z) be the second derivative of 0*z**6 + 0*z**3 + z + 0*z**2 + 0 + 1/189*z**7 + 0*z**4 - 1/90*z**5. Factor n(p).
2*p**3*(p - 1)*(p + 1)/9
Let d(m) be the first derivative of m**6/195 + 2*m**5/65 + 2*m**4/39 + 5*m + 2. Let i(j) be the first derivative of d(j). Determine t, given that i(t) = 0.
-2, 0
Suppose 0 - 3/2*t - 3/2*t**2 = 0. Calculate t.
-1, 0
Let i(d) = -2*d**2 - 4*d + 6. Suppose -2*o - 2 = -o. Let v be (-3)/2*66/9. Let t(f) = 10*f**2 + 21*f - 31. Let s(g) = o*t(g) + v*i(g). Let s(q) = 0. What is q?
-2, 1
Let h(w) be the second derivative of -3*w**5/25 + 7*w**4/20 + w**3/5 + 2*w. Find t, given that h(t) = 0.
-1/4, 0, 2
Let r(z) = 2*z**3 - 2*z**2 + 5*z - 3. Let k be r(1). Find i such that -3*i + 3*i**3 - 7/4*i**4 + 11/4*i**k - 1 = 0.
-1, -2/7, 1, 2
Determine g so that -1/3*g**5 + 0*g - g**3 + 1/3*g**2 + g**4 + 0 = 0.
0, 1
Let i(a) = -a + 3. Let z be i(0). Solve -9*u**3 - z*u**4 + 9*u + 2*u**2 + 3*u**3 + 6 - 3*u**3 - 5*u**2 = 0.
-2, -1, 1
Factor 2/15*n**3 + 8/15 + 4/5*n**2 + 6/5*n.
2*(n + 1)**2*(n + 4)/15
Suppose 8 = -2*x - 5*m, -x + 4*m = 3 - 25. Let s be (x/8)/((-18)/(-12)). Factor -1/4*z + 1/4*z**2 - s.
(z - 2)*(z + 1)/4
Let h be 162/22 + 40 + -47. Suppose 6/11*j**2 - 2/11*j**3 + 0 + h*j**5 - 2/11*j - 6/11*j**4 = 0. Calculate j.
-1, 0, 1/2, 1
Let z be (-3)/4*(-4 - 20). Factor 3*w**4 + 12*w + 13 + 12*w**3 - 16 + 6 + z*w**2.
3*(w + 1)**4
Let y(q) = -5*q**3 + 0*q**3 + 3 + 1 - 6*q + 4*q**3 - 7*q**2. Let u be y(-6). Find g, given that -u*g**2 + 0*g**2 + 2*g**2 = 0.
0
Let d(b) be the second derivative of 3*b**5/20 + 3*b**4/4 - 3*b**3 - 12*b**2 - b + 8. Factor d(f).
3*(f - 2)*(f + 1)*(f + 4)
Let c = 182/3 - 60. Suppose 0 + c*i**2 + 1/3*i**3 + 1/3*i = 0. Calculate i.
-1, 0
Let w(j) be the first derivative of -j**8/1176 + j**7/1470 + j**6/252 - j**5/210 + j**3/3 - 2. Let a(z) be the third derivative of w(z). What is f in a(f) = 0?
-1, 0, 2/5, 1
What is n in -311/2*n**3 + 0 + 63*n**4 + 58*n**2 + 81/2*n**5 - 6*n = 0?
-3, 0, 2/9, 1
Let o(z) = -85*z**2 - 180*z. Let a(i) = 7*i**2 + 15*i. Let x(s) = -25*a(s) - 2*o(s). Find l such that x(l) = 0.
-3, 0
Let o(l) be the first derivative of l**6/30 + 3*l**5/20 + l**4/4 + l**3/6 + 3*l + 2. Let q(m) be the first derivative of o(m). Let q(h) = 0. Calculate h.
-1, 0
Suppose -b = 3*b - 20. Suppose -2*r - 2*r + 8 = -4*o, b*r = 3*o + 14. Factor -2*y**r + y**4 - y**4 + 3*y**3 - y**2.
-y**2*(y - 1)*(2*y - 1)
Let j(w) = 4*w**5 + 8*w**4 + 8*w**3 + 3*w**2 - w. Let i(o) = -o**5 + o**4 + o**3 + o. Let b = 10 + -11. Let p(q) = b*i(q) - j(q). Find s, given that p(s) = 0.
-1, 0
Let h(d) = 3*d**4 + 9*d**3 + 6*d**2 - 3. Let s(o) = o - 11*o**2 + 0*o + 7 - 6*o**4 + 0*o - 14*o**3 - 4*o**3. Let i(b) = -7*h(b) - 3*s(b). Factor i(f).
-3*f*(f + 1)**3
Suppose 14*w**4 - w**4 - 24*w + 8*w**3 - 9*w**4 - 20*w**2 = 0. Calculate w.
-3, -1, 0, 2
Let l(u) be the first derivative of u**4/12 + u**3/9 + 50. Determine z, given that l(z) = 0.
-1, 0
Let t = 379 - 757/2. Determine z, given that -1/4 + 1/4*z**4 - 1/2*z + t*z**3 + 0*z**2 = 0.
-1, 1
Let k(j) = -5*j + 5*j - j**2 - 1. Let a(m) = 8*m**2 + 2*m + 2. Let w(v) = -a(v) - 6*k(v). Solve w(x) = 0.
-2, 1
Let d = 23/16 - 185/112. Let t = d - -5/7. Factor -3/4*f**2 + 1/4*f**4 - 5/4*f - t + 1/4*f**3.
(f - 2)*(f + 1)**3/4
Let x = -809/5 - -162. Factor x*a**2 + 3/5 - 4/5*a.
(a - 3)*(a - 1)/5
Find o such that 0 + 0*o + 2/13*o**2 = 0.
0
Let z(c) be the first derivative of -c**7/280 + c**6/24 - c**5/5 + c**4/2 - c**3 - 3. Let m(v) be the third derivative of z(v). Factor m(g).
-3*(g - 2)**2*(g - 1)
Suppose -k = -3 + 1. Solve -q**2 + 2*q + 0*q**2 - 2*q**2 + 4*q**k = 0.
-2, 0
Let c(d) be the second derivative of -d**7/168 - d**6/60 + d**5/40 + d**4/6 + 7*d**3/24 + d**2/4 - 7*d. Factor c(a).
-(a - 2)*(a + 1)**4/4
Let a(g) = g**2 + 7*g + 3. Let s be a(-7). Let c = s - 0. What is x in -5*x**4 - 5*x**3 + x**5 + 7*x**4 + 5*x**3 + x**c = 0?
-1, 0
Let h(v) be the third derivative of v**3 + 2*v**2 + 0*v - 1/10*v**5 + 0 - 1/40*v**6 + 1/8*v**4. Factor h(k).
-3*(k - 1)*(k + 1)*(k + 2)
Suppose -16/7 + 8/7*y**4 + 46/7*y**3 + 12*y**2 + 40/7*y = 0. Calculate y.
-2, 1/4
Let z be ((-2)/6)/((-6)/18). Let w(d) be the first derivative of 0*d**3 + 0*d**2 + 0*d + z - 1/15*d**5 - 1/12*d**4. Factor w(r).
-r**3*(r + 1)/3
Suppose w - 3 = 4*x - 32, -3*w - 32 = -x. Let l be 0 - 6/w*3. Factor 0*r - 4/5*r**l + 18/5*r**3 - 14/5*r**4 + 0.
-2*r**2*(r - 1)*(7*r - 2)/5
Let o(l) be the first derivative of -12*l - 15/4*l**4 + 12*l**2 - l**3 - 2 + 1/2*l**6 + 3/5*l**5. Factor o(g).
3*(g - 1)**3*(g + 2)**2
Let w = 24 + -22. Let k(s) be the second derivative of -1/6*s**3 + 0 + 1/30*s**6 - 3/20*s**5 + w*s + 0*s**2 + 1/4*s**4. Let k(t) = 0. What is t?
0, 1
Let r(f) be the second derivative of f**5/120 - 5*f**4/72 + 2*f**3/9 - f**2/3 + 19*f. Determine k so that r(k) = 0.
1, 2
Let x(a) be the third derivative of -a**6/120 + a**5/12 - a**4/3 + 2*a**3/3 - 6*a**2. Factor x(r).
-(r - 2)**2*(r - 1)
Let z(y) = y**3 + 2*y**2 - 10*y - 3. Let o be z(-4). Let 1/2*r**o + 0 - r**4 + 0*r**2 + 1/2*r**3 + 0*r = 0. Calculate r.
0, 1
Let y = 20 - 18. Suppose 3*q**3 - 58*q + 58*q - 3*q**y = 0. Calculate q.
0, 1
Let z(x) be the third derivative of -x**8/896 + x**7/140 - x**6/64 + x**5/80 - 8*x**2. Factor z(s).
-3*s**2*(s - 2)*(s - 1)**2/8
Let c be 5/40*-2*-8. Let d(q) be the third derivative of -2/3*q**3 - 8/15*q**5 + 1/168*q**8 + 0 - c*q**2 + 0*q + 3/4*q**4 - 2/35*q**7 + 7/30*q**6. Factor d(r).
2*(r - 2)*(r - 1)**4
Suppose -8*o = -0*o - 16. Factor 2/5*g**o - 2/5*g - 4/5.
2*(g - 2)*(g + 1)/5
Find x, given that -1/3*x**3 + 0 + 0*x**2 + 1/3*x = 0.
-1, 0, 1
Factor 2/5*m**4 + 0 - 2*m**2 - 4/5*m - 6/5*m**3 + 2/5*m**5.
2*m*(m - 2)*(m + 1)**3/5
Let x = -1/5 - -21/55. Factor -2/11 - x*h**2 + 4/11*h.
-2*(h - 1)**2/11
Let i(q) be the third derivative of q**6/480 - q**5/60 + 5*q**4/96 - q**3/12 + 17*q**2. What is u in i(u) = 0?
1, 2
Let c(o) be the third derivative of -o**5/15 + o**4/2 - 10*o**2. Let c(a) = 0. Calculate a.
0, 3
Let o(c) be the second derivative of -c**9/10080 + c**7/1680 + c**4/6 + 3*c. Let v(t) be the third derivative of o(t). Factor v(y).
-3*y**2*(y - 1)*(y + 1)/2
Find z such that -2/5 + 2/5*z**5 + 4*z**3 - 4*z**2 + 2*z - 2*z**4 = 0.
1
Factor -5*h**5 - 225*h**2 + 4*h**5 + 25*h**4 + 540 + 6*h**5 - 25*h**3.
5*(h - 2)**2*(h + 3)**3
Let w be 32/180 + (14/(-18) - -1). Factor -w*j - 2/5*j**2 + 0.
-2*j*(j + 1)/5
Let i(d) = -15*d**3 + 54*d**2 + 3*d - 30. Let m(t) = 6*t**3 - 22*t**2 - t + 12. Let p(l) = -5*i(l) - 12*m(l). Factor p(k).
3*(k - 2)*(k - 1)*(k + 1)
Factor 1 - 1/2*s - 1/2*s**2.
-(s 