g - 1 = 3*h + 2, 4*g + 12 = -3*h. Let t(k) be the first derivative of 3/2*k**4 - 3*k**2 + h*k + 1 - 3*k**3. Factor t(f).
3*f*(f - 2)*(2*f + 1)
Let n be ((-2394)/(-798))/(6/11). Factor -n*i - 2*i**3 + 13/2*i**2 + 1.
-(i - 2)*(i - 1)*(4*i - 1)/2
Let b be 8/1 + ((-3)/21 - (-100)/(-35)). Solve -5/6*v**2 - 15/2 - b*v = 0.
-3
Let f(n) = 2*n**2 + 2 + 0*n + 17*n + 48. Let q(u) = -4*u**2 - 33*u - 100. Let w(i) = 7*f(i) + 3*q(i). Factor w(b).
2*(b + 5)**2
Let k = 1712/3 - 570. Let o(x) be the first derivative of -1/4*x**4 + 0*x + 4 - k*x**3 - 1/2*x**2. Find r such that o(r) = 0.
-1, 0
Factor 0 + 9/5*i**3 - 3/5*i**5 + 3/5*i**4 + 6/5*i - 3*i**2.
-3*i*(i - 1)**3*(i + 2)/5
Suppose 7*d - 10*d = -3*k - 795, 247 = -k - 5*d. Let v = -260 - k. Factor 2/3*p**3 - 22/9*p**v + 8/9 + 16/9*p.
2*(p - 2)**2*(3*p + 1)/9
Let 0*a + 0*a**3 + 2/3*a**4 + 0 + 0*a**2 = 0. What is a?
0
Let a(i) be the third derivative of 8*i**6/35 - 12*i**5/5 + 81*i**4/56 - 5*i**3/14 - 60*i**2. Determine l so that a(l) = 0.
1/8, 5
Let a(u) = -u**2 - 6*u + 10. Let x be a(-7). Let m be (-3)/(-18) + 102/36. Factor -2*o**3 + o**x + m*o**3 + 2*o + 4*o**2 + 0*o**3.
2*o*(o + 1)**2
Let x(j) be the first derivative of -125/3*j**3 + 20*j + 30*j**2 - 25 + 45/4*j**4. Let x(m) = 0. Calculate m.
-2/9, 1, 2
Factor -504/11 - 1752/11*i + 42/11*i**2.
6*(i - 42)*(7*i + 2)/11
Let a be 2*8/12*(-45)/(-6). Let u be (-4)/(-18)*(19 - a). Factor 8/9 - 10/9*b**3 + 8/3*b + 2/3*b**u.
-2*(b - 2)*(b + 1)*(5*b + 2)/9
Let j(c) = 8*c**5 + 2*c**3 + 6*c**2 - 4*c. Let k be 75/30*((-4)/(-5))/2. Let p(v) = v**4 + v**5 + 4*v**3 - 4*v**3. Let g(n) = k*j(n) - 6*p(n). Solve g(s) = 0.
-1, 0, 1, 2
Suppose 4*j - 63 = 29. Suppose 2*c + j = 29. Factor 0*s - 6/7*s**3 + 0 - 15/7*s**5 - c*s**4 + 0*s**2.
-3*s**3*(s + 1)*(5*s + 2)/7
Suppose 3*s - 42 = -4*u, -3*s - 2*s = -2*u - 44. Let y be 9*s/21 + -4. Factor -y*d**2 + 0 + 4/7*d.
-2*d*(d - 2)/7
Let l(j) be the third derivative of 13*j**2 - 5/3*j**5 - 3/7*j**7 + 0*j**3 + 0 - 11/8*j**6 - 5/6*j**4 + 0*j. Find s such that l(s) = 0.
-2/3, -1/2, 0
Let b = 653 + -653. Find x, given that 1/6*x**3 + 1/2*x**2 + b*x + 0 = 0.
-3, 0
Let -200/3 - 140/3*f - 1/3*f**3 - 22/3*f**2 = 0. Calculate f.
-10, -2
Factor -2/3*q**3 + 0 - 4/3*q - 1/3*q**4 + 7/3*q**2.
-q*(q - 1)**2*(q + 4)/3
Factor 0*t**3 - 3586*t**2 + 3588*t**2 - t**3.
-t**2*(t - 2)
Let p(i) be the first derivative of -4*i**5/5 + 7*i**4 + 32*i**3/3 - 47. Determine a so that p(a) = 0.
-1, 0, 8
Let w(x) be the first derivative of 3*x**6/14 - 3*x**5/5 + 15*x**4/28 - x**3/7 + 33. Let w(q) = 0. Calculate q.
0, 1/3, 1
Find h, given that -129 + 242*h - 111 - 5*h**2 - 65 + 68*h = 0.
1, 61
Let x(v) be the third derivative of -1323*v**5/5 - 42*v**4 - 8*v**3/3 - 6*v**2. Factor x(f).
-4*(63*f + 2)**2
Let h = -1/920 - -27/3680. Let p(b) be the third derivative of 0 + 0*b - 1/32*b**4 + 0*b**3 + 1/40*b**5 - h*b**6 - 2*b**2. Factor p(o).
-3*o*(o - 1)**2/4
Solve 112/3*q + 32/3*q**3 + 16 + 4/3*q**4 + 92/3*q**2 = 0.
-3, -2, -1
Let x(a) be the first derivative of -a**4/36 - a**3/2 - 4*a**2/3 - 30*a - 52. Let h(j) be the first derivative of x(j). Factor h(d).
-(d + 1)*(d + 8)/3
Suppose 0 = 2*b + 3*a + 4, -5*b - 3*a = -0*a - 8. Let p(t) be the second derivative of 441/80*t**5 - 133/16*t**b + 5*t**3 - 3/2*t**2 + 6*t + 0. Factor p(j).
3*(3*j - 1)*(7*j - 2)**2/4
Let k(u) be the first derivative of -4*u - u**4 - 11 + 4/3*u**3 + 2*u**2. Let k(l) = 0. Calculate l.
-1, 1
Let j be (-76)/24 + 3 + 69/(-1566). Let h = 1/87 - j. Factor -h*v**2 - 4/9*v - 2/9.
-2*(v + 1)**2/9
Let t(u) be the first derivative of -6*u + 3/5*u**5 - 9/4*u**4 + 9/2*u**2 + u**3 + 7. Determine o, given that t(o) = 0.
-1, 1, 2
Suppose 6*t = 2*v + t - 29, 5*t = -3*v - 19. Let i(u) = -u**3 - 5*u**2 - 5*u + 4. Let q be i(-4). Factor -4 + q*p + 14 + 2*p**2 - v.
2*(p + 2)**2
Let p(m) = m**3 + m**2 - 2*m + 4. Let c(n) = -n + 1. Let w(r) = -4*c(r) + p(r). Let o be w(0). Solve o*u + 2/3*u**3 + 8/3 - 2*u**2 = 0 for u.
-1, 2
Let q(a) = -a**4 - 51*a**3 - 189*a**2 - 141*a - 30. Let m(r) = 4*r**4 - r**3 + r**2 - r. Let g(f) = 4*m(f) + q(f). Factor g(o).
5*(o - 6)*(o + 1)**2*(3*o + 1)
Let y(v) be the second derivative of 0 + 11*v + 1/16*v**4 + 3/4*v**2 - 11/24*v**3. Factor y(a).
(a - 3)*(3*a - 2)/4
Let j(a) = -1. Let k = -51 - -45. Let m(x) = -4*x**4 + 8*x**3 + 4*x**2 - 8*x - 6. Let o(z) = k*j(z) + m(z). Let o(s) = 0. Calculate s.
-1, 0, 1, 2
Let f be (-14)/18 - (-130)/117. Solve -1/2*g**2 - 1/6*g**3 + 5/6*g + 1/6*g**4 - f = 0.
-2, 1
Let t(o) be the second derivative of 0 - 4/15*o**6 - 6*o - 2/5*o**5 + 2/21*o**7 + 2/3*o**3 + 4/3*o**4 - 4*o**2. Solve t(h) = 0.
-1, 1, 2
Suppose -26*x + 70 = -21*x. Suppose 7*s + 3*w = 3*s + x, 0 = -4*w + 8. Factor -10*q - 8*q**2 + q**3 + 3*q**s - 9*q**3 + 13*q**3.
5*q*(q - 2)*(q + 1)
Let w(l) be the first derivative of l**7/168 + l**6/72 - l**5/24 - 5*l**4/24 - 4*l**3 - 10. Let p(k) be the third derivative of w(k). Factor p(g).
5*(g - 1)*(g + 1)**2
Let n be 77/(-7) - 767/(-52). Determine d so that -n*d**3 + 0 + 3/4*d**4 + 27/4*d + 9/4*d**2 = 0.
-1, 0, 3
Let o = 15/14 + -43/42. Let p(v) be the second derivative of -1/70*v**5 - 1/42*v**4 - 5*v + 0*v**2 + o*v**3 + 1/105*v**6 + 0. Factor p(j).
2*j*(j - 1)**2*(j + 1)/7
Let l(x) be the second derivative of x**6/80 - x**4/16 + 33*x**2/2 + 4*x. Let w(g) be the first derivative of l(g). Solve w(o) = 0.
-1, 0, 1
Let c(b) = 2*b**2 + b - 132. Let x be c(8). Factor -1/4*t**x - 1/4*t**3 + 1/4*t**2 + 0 + 1/4*t.
-t*(t - 1)*(t + 1)**2/4
Let d(f) be the third derivative of -1/1680*f**8 + 0 + 0*f - 1/300*f**5 + 1/1050*f**7 + 0*f**4 - 23*f**2 + 1/600*f**6 + 0*f**3. Find j such that d(j) = 0.
-1, 0, 1
Let a be ((3/4)/(-1))/(3/(-12)). Determine x so that -4*x**a - 3*x**2 - 4*x**2 - 2*x + 11*x**2 + 2*x**2 = 0.
0, 1/2, 1
Suppose -2*w + 17 - 5 = 0. Suppose -4*b + 3*i = -1, i = 2*b + 3 - w. Suppose 3/2*v**b + 0*v + 0 + 3/2*v**2 + 3*v**3 = 0. Calculate v.
-1, 0
Let c(h) = h**3 - 5*h**2 + 2. Let s be c(5). Suppose 5*x - s - 17 = 2*u, 1 = 3*x + 4*u. Factor 7/3*v**2 + 5/3*v**4 + 1/3*v**5 + 0 + 2/3*v + 3*v**x.
v*(v + 1)**3*(v + 2)/3
Let s(z) = 3*z**5 + 18*z**4 + 9*z**3 + 6*z + 6. Let m(v) = -3*v**5 - 17*v**4 - 10*v**3 - v**2 - 5*v - 5. Let n(x) = -6*m(x) - 5*s(x). What is u in n(u) = 0?
-2, -1, 0
Let l = -4115/6 - -686. Let w(j) be the third derivative of 0 + 1/84*j**8 + l*j**6 + 0*j**3 + 8/105*j**7 + 0*j + 0*j**4 + 2/15*j**5 + 3*j**2. Factor w(u).
4*u**2*(u + 1)**2*(u + 2)
Suppose 0*g + 150 = 2*g - 2*d, 5*g = -5*d + 405. Let u = 151 - g. Factor -73 + 3*r**2 + u + 3*r**3.
3*r**2*(r + 1)
Suppose -u + 48 = b, -b + 24 + 36 = -3*u. Let i = -451/9 + b. Determine m, given that 2/9*m**2 + i - 8/9*m = 0.
2
Let s(j) = 0*j + j + 12 + 25*j**2 - j**3 - 32*j**2. Let y be s(-7). Factor 3*k**5 - y*k**5 + 16 - 2*k**4 - 16.
-2*k**4*(k + 1)
Let a(w) be the second derivative of 13/6*w**3 - 169/4*w**2 + 30*w + 0 - 1/24*w**4. Factor a(z).
-(z - 13)**2/2
Let t(s) be the first derivative of s**5/360 + s**4/144 - s**3/18 + 5*s**2 - 15. Let u(h) be the second derivative of t(h). Let u(l) = 0. Calculate l.
-2, 1
Let o be -3 + 0 + (-2 - -10). Suppose 5 = o*u - 0. Suppose -5/4*h - u - 1/4*h**2 = 0. Calculate h.
-4, -1
Let q = 996/661 - 9/1322. Determine l, given that -3/2*l - q*l**3 - 3/8*l**4 - 9/4*l**2 - 3/8 = 0.
-1
Let k(b) be the third derivative of b**9/60480 + b**8/26880 - b**7/5040 - 7*b**4/12 + 6*b**2. Let s(i) be the second derivative of k(i). Factor s(g).
g**2*(g - 1)*(g + 2)/4
Solve 86*d - 6*d - 28*d**3 - 271*d**2 - d**2 = 0.
-10, 0, 2/7
Let a(u) be the third derivative of u**6/72 - u**5/24 - 5*u**4/12 + 8*u**3/3 - 16*u**2. Let d(n) be the first derivative of a(n). Factor d(v).
5*(v - 2)*(v + 1)
Let i(j) = j**3 + j**2 - j. Let k(h) = -4*h**3 - 6*h**2 + 8*h. Let s(c) = -2*i(c) - k(c). Factor s(a).
2*a*(a - 1)*(a + 3)
Suppose 3*s = -2*v + 16, -4*s - s = -3*v - 33. Let n(j) be the second derivative of 0 - 8/3*j**3 + 16*j**2 + 1/6*j**4 + s*j. Factor n(z).
2*(z - 4)**2
Let j(i) be the third derivative of -i**6/120 + 2*i**5/15 + 31*i**4/24 + 11*i**3/3 - 360*i**2. Factor j(p).
-(p - 11)*(p + 1)*(p + 2)
Factor 12*w + 2/5*w**2 + 90.
2*(w + 15)**2/5
Let r = 147 - 147. Let c(x) be the first derivative of 5 - 2/33*x**3 + 1/11*x**4 + r*x + 0*x**2 - 2/55*x**5. Factor c(w).
-2*w**2*(w - 1)**2/11
Suppose -x -