ppose -5*j + 6 - z = -5*v, -2*v + 33 = 5*j. Find t such that j*t + 75*t + 8*t**2 - 36*t**4 - 84*t**3 + 23 + 9 = 0.
-2, -2/3, 1
Let -152/7*s**3 - 4/7*s**4 - 1588/7*s**2 - 2736/7*s - 1296/7 = 0. Calculate s.
-18, -1
Solve 48*v**3 + 378*v**2 - 189*v**2 + 3*v - 213*v**2 = 0.
0, 1/4
Let u be (-16)/((-2)/(-9) + (-39)/54). Factor -16*n - n**2 + 2*n**2 + 4*n**3 + 0*n**2 - u + 7*n**2.
4*(n - 2)*(n + 2)**2
Let f be (-3)/(3 + (6/220 - 3)). Let n = f - -114. Solve -2/5*h**n - 4/5*h + 0 + 4/5*h**3 + 2/5*h**2 = 0 for h.
-1, 0, 1, 2
Suppose 5*r + 15 = 5*l, -r + 73*l + 3 = 74*l. Let d(b) be the third derivative of 0*b**3 + 1/15*b**5 + 1/6*b**4 + r*b + 7*b**2 + 0. Factor d(o).
4*o*(o + 1)
Factor 237/2*n - 56169/4 - 1/4*n**2.
-(n - 237)**2/4
Let f be -2*1*(-132)/8. Let t = f - 33. What is s in 1/4*s**4 + t + 1/2*s**2 + 3/4*s**3 + 0*s = 0?
-2, -1, 0
Let a = -3338 + 26707/8. Solve 9/4*k + a*k**2 + 27/8 = 0 for k.
-3
Let m(z) = z**3 + 11*z**2 - 119*z + 102. Let q be m(6). Suppose q + 1/2*b - 1/2*b**2 = 0. What is b?
0, 1
Let o(l) = l**4 + l**3 - 9*l. Let p = 4 + -6. Let k(v) = -v. Let x be 260/14 - 12/21. Let i(q) = p*o(q) + x*k(q). Let i(a) = 0. What is a?
-1, 0
Let h(a) be the second derivative of a**6/70 - 3*a**5/35 + a**4/14 + 2*a**3/7 - 9*a**2/14 + 248*a - 1. Determine d so that h(d) = 0.
-1, 1, 3
Let v(d) be the second derivative of -8*d + 1/30*d**6 + 0 - 1/6*d**4 + 1/2*d**2 - 1/20*d**5 + 1/12*d**3 + 1/84*d**7. Solve v(p) = 0.
-2, -1, 1
Let i(z) be the third derivative of 0*z**3 + 0 + 1/4*z**4 - 3/80*z**6 - 34*z**2 - 1/140*z**7 + 0*z**5 + 0*z. Let i(h) = 0. What is h?
-2, 0, 1
Suppose 7*c + 3*c = 20. Find d, given that -20*d + 0 + 10*d**c - 25 - 5*d**2 = 0.
-1, 5
Let m(t) be the third derivative of 1/2856*t**8 + 17*t**2 + 0 + 7/1020*t**6 + 0*t**3 + 1/170*t**5 + 0*t**4 + 0*t + 1/357*t**7. Factor m(u).
2*u**2*(u + 1)**2*(u + 3)/17
Let m(l) = -l**3 + 10*l**2 - 9*l + 6. Let f be m(9). Suppose -4*j + f = -j. Solve -j*q**4 + 3*q**3 - 2*q**5 - 4*q**2 + 0*q**5 + 6*q**2 - q**3 = 0 for q.
-1, 0, 1
Let i(j) be the third derivative of j**7/945 + 17*j**6/135 + 611*j**5/135 + 187*j**4/9 + 121*j**3/3 + 7*j**2 + 11. Let i(s) = 0. Calculate s.
-33, -1
Let t(l) be the first derivative of 5/3*l**3 - 5*l**2 + 8 + 0*l. Suppose t(z) = 0. What is z?
0, 2
Let i(t) be the first derivative of -t**7/3360 + t**6/96 - t**5/10 - 2*t**4/3 - 35*t**3/3 + 17. Let u(x) be the third derivative of i(x). Factor u(j).
-(j - 8)**2*(j + 1)/4
Suppose 6*l = 11*l + 40. Let b be 22/(-165)*(30/l)/3. Let -b*h**2 + 0 + 1/6*h = 0. Calculate h.
0, 1
Let u(f) = -f**3 - 15*f**2 + 36*f - 11. Let h be u(-17). Let z = 47 + h. Factor 0 - 20/3*p**3 - 7/3*p**5 + 8/3*p**z + 0*p - 26/3*p**4.
-p**2*(p + 2)**2*(7*p - 2)/3
Let f(v) = -2*v**2 + 8*v - 6. Let o be f(4). Let t(k) = -k**3 - k**2 - k - 1. Let p(l) = 4*l**3 + 4*l**2 + 2*l + 2. Let j(g) = o*t(g) - 2*p(g). Factor j(b).
-2*(b - 1)*(b + 1)**2
Suppose -2*g = -5*y - g - 136, y + 3*g = -24. Let c be y/(-42) - (-3)/(-21). Determine w so that -c*w**2 + w + 0 = 0.
0, 2
Let k(o) be the first derivative of -2*o**3/15 - 8*o**2/5 - 24*o/5 + 54. Let k(j) = 0. Calculate j.
-6, -2
Factor 98304/7*k + 768/7*k**2 + 2/7*k**3 + 4194304/7.
2*(k + 128)**3/7
Let h(l) be the first derivative of l**7/42 + l**6/15 - 3*l**5/20 - 2*l**4/3 - 2*l**3/3 + 17*l + 4. Let y(t) be the first derivative of h(t). Factor y(g).
g*(g - 2)*(g + 1)**2*(g + 2)
Let x = -47 - 28. Let j = 78 + x. Factor -1/3*q - 1/3*q**5 + 0*q**2 + 0*q**4 + 0 + 2/3*q**j.
-q*(q - 1)**2*(q + 1)**2/3
Let c(h) be the first derivative of -h**4/46 - 70*h**3/69 - 34*h**2/23 - 213. Factor c(o).
-2*o*(o + 1)*(o + 34)/23
Let g(v) be the third derivative of -v**7/4620 + v**6/1980 + v**5/660 - v**4/132 + v**3/3 - 5*v**2. Let s(d) be the first derivative of g(d). Factor s(h).
-2*(h - 1)**2*(h + 1)/11
Let r(f) be the first derivative of 1/6*f**4 - 1/15*f**5 + 0*f + 4 - 4*f**2 + 0*f**3. Let x(q) be the second derivative of r(q). Factor x(p).
-4*p*(p - 1)
Find r such that -40*r**2 + 53*r + 10*r - 4 + 4*r**3 + 13*r + 124 = 0.
-1, 5, 6
Let b = 97 + -91. Suppose 3 + 42 + b*w**2 - w**2 + 50*w + 0 = 0. Calculate w.
-9, -1
Let z be -3 - ((-1)/(-3) + 22/33). Let h be z/12 - (-3 - -2). Factor -4/3 + 0*i**2 + h*i**3 - 2*i.
2*(i - 2)*(i + 1)**2/3
Factor 0*n + 2/7*n**4 + 2/7*n**3 + 0 - 2/7*n**2 - 2/7*n**5.
-2*n**2*(n - 1)**2*(n + 1)/7
Suppose -4*y + 2 = -78. Let h be 15/20 + 15/y. Factor 3*u - 39/2*u**4 - 27/2*u**3 - 15/2*u**5 + h*u**2 + 0.
-3*u*(u + 1)**3*(5*u - 2)/2
Suppose -4*c + 0*c + 109 = -3*l, 0 = 2*l - 3*c + 73. Let n be (-2 - 85/l)/(3/12). Solve 3/7*f**4 + 3/7 + 24/7*f**3 - n*f - 6/7*f**2 - 12/7*f**5 = 0 for f.
-1, 1/4, 1
Let l = -56 - -66. Suppose -l = 3*x - 10. Determine f so that -1/4*f**3 + 0*f + 1/4*f**2 + x = 0.
0, 1
Let y(n) be the second derivative of -n**6/10 + 9*n**5/20 - n**4/2 + 123*n + 2. Suppose y(t) = 0. What is t?
0, 1, 2
Let v(p) be the second derivative of 1/15*p**6 + 0*p**3 + 15*p + 1/10*p**5 - 1/21*p**7 + 0 - 1/6*p**4 + 0*p**2. Factor v(c).
-2*c**2*(c - 1)**2*(c + 1)
Factor 2354*s - 2383*s + 6 - 5*s**2 + 18*s**2.
(s - 2)*(13*s - 3)
Let a(c) be the first derivative of c**5/35 + 5*c**4/14 - 4*c**3/7 - 5*c**2/7 + 11*c/7 - 642. Let a(w) = 0. What is w?
-11, -1, 1
Suppose -224 - 73 = -9*x. Suppose -15 = 6*c - x. Let -c*v**3 - 3/2*v**4 + 0 - 3/2*v**2 + 0*v = 0. Calculate v.
-1, 0
Let w(m) be the first derivative of -2*m**3/33 - 20*m**2/11 - 38*m/11 - 27. Factor w(b).
-2*(b + 1)*(b + 19)/11
Let u(f) be the third derivative of -f**6/480 + 7*f**5/16 + 71*f**4/32 + 107*f**3/24 - 8*f**2. Factor u(o).
-(o - 107)*(o + 1)**2/4
Factor -6/11*z**4 - 30/11*z**3 - 42/11*z - 12/11 - 54/11*z**2.
-6*(z + 1)**3*(z + 2)/11
Let n(m) be the first derivative of -2/15*m**3 + 0*m**2 + 18 + 1/10*m**4 + 0*m. Factor n(c).
2*c**2*(c - 1)/5
Let j = -4295 - -30067/7. Find f such that 6/7 - j*f**2 - 4/7*f = 0.
-3, 1
Let l(c) be the first derivative of 1 - 1/15*c**2 - 2/15*c + 1/30*c**4 + 2/45*c**3. Suppose l(q) = 0. Calculate q.
-1, 1
Let z(c) be the second derivative of -c**4/48 + c**2/8 - 80*c. Find y, given that z(y) = 0.
-1, 1
Factor -75*f**2 + 16*f**3 - 21*f**4 + 510 + 3*f**5 - 522 + 41*f**3 + 48*f.
3*(f - 2)**2*(f - 1)**3
Let f(v) = 3*v**2 + 27*v. Let a = -27 + 49. Let n(c) be the second derivative of -c**4/12 - 7*c**3/6 + 13*c + 2. Let m(s) = a*n(s) + 6*f(s). Factor m(x).
-4*x*(x - 2)
Let q = -60 + 62. Factor -3*p**q - 4 + 6*p - 3*p**3 - 11 + 15.
-3*p*(p - 1)*(p + 2)
Let q(z) be the third derivative of z**5/90 + 11*z**4/18 + 7*z**3/3 - 39*z**2. Factor q(h).
2*(h + 1)*(h + 21)/3
Suppose -8*o + 198 = 150. Let x(z) be the second derivative of 0*z**2 + 2/15*z**o + 0 - 5*z + 1/10*z**5 + 0*z**3 + 0*z**4 + 1/21*z**7. Factor x(u).
2*u**3*(u + 1)**2
Let d be 63/(-54)*(131/28 - 5). Factor 15/8*b + 9/4*b**2 - d.
3*(b + 1)*(6*b - 1)/8
Suppose u + 8 = 2*n, -3*u = -4*n - 6*u - 4. Determine w so that 4*w + 163*w**2 + 4*w - 165*w**n - 6 = 0.
1, 3
Factor 133*h + 4814 + 3*h**2 + 2*h**2 - 5039 + 87*h.
5*(h - 1)*(h + 45)
Suppose 4 + 1/3*a**3 + 14/3*a**2 + 25/3*a = 0. What is a?
-12, -1
Let o(b) be the first derivative of b**5 - 25*b**4/4 + 10*b**3/3 + 20*b**2 + 104. Factor o(w).
5*w*(w - 4)*(w - 2)*(w + 1)
Suppose -4*s - 56 = -4*y, 5*y - 4*s - 77 + 7 = 0. Let k be (-22)/(-4) - 7/y. Suppose 81*a**4 + 0 + k - 10*a**2 - 76*a**4 = 0. Calculate a.
-1, 1
Let a(w) be the third derivative of 2/7*w**3 - 11/84*w**4 + 0*w + 1/35*w**5 + 0 - 1/420*w**6 - 39*w**2. Factor a(f).
-2*(f - 3)*(f - 2)*(f - 1)/7
Let k be ((-2)/8 - 56/32) + 99/44. Solve -k*s**3 - 3/4*s - 5/4*s**2 + 9/4 = 0.
-3, 1
Let p(h) be the first derivative of h**5/30 - h**4/9 + h**3/9 - 16*h - 40. Let a(d) be the first derivative of p(d). Factor a(q).
2*q*(q - 1)**2/3
Factor 9 - 1/5*c**2 + 12/5*c.
-(c - 15)*(c + 3)/5
Let m = 15 - 11. Suppose -m*k = 2*k + 3*k. Solve 1/3*a**3 + 0*a + 1/3*a**2 + k = 0.
-1, 0
Let y be ((-8)/5)/(6/(-40)*8). Suppose -b = -5*b + 12. Suppose 0 + 2/3*i**4 - 8/3*i**b + 10/3*i**2 - y*i = 0. Calculate i.
0, 1, 2
Determine u so that 6*u**4 + 113*u**3 - 5 - u**4 - 10*u - 103*u**3 = 0.
-1, 1
Suppose 5*x - 37 = 53. Suppose 3*w - x = -2*p, 2*w - 17 = p - 3*w. Factor 1/3*a**p + 2/3*a - a**2 + 0.
a*(a - 2)*(a - 1)/3
Let t = -8058 - -8060. Determine j so that 0 + 2/3*j**t + 4/3*j = 0.
-2, 0
Let z(p) = 