 4, -5*y + 3*y = -i*p. Factor 3/2*z**5 - 6 - 75/2*z**2 + 57/2*z**3 - 21/2*z**y + 24*z.
3*(z - 2)**2*(z - 1)**3/2
Let k(m) = -19*m**3 + m**2 + 2*m + 2. Let l be k(-1). Suppose -y + 1 = 3*o, l = -4*o - 4*y + 8. Solve s**2 + s**2 + 4*s**o - 2*s**2 = 0.
0
What is t in 31 - 2*t**2 - 16*t + 10*t**4 + 37 + 14*t**3 - 76 + 2*t**5 = 0?
-2, -1, 1
Solve 7*v**4 - 44*v - 25*v**2 - 27*v**2 + 44*v**3 - 6*v**4 + 3*v**4 + 48 = 0.
-12, -1, 1
Let r(m) be the first derivative of -m**7/525 + m**6/60 - 7*m**5/150 + m**4/20 - 5*m**2/2 - 8. Let w(x) be the second derivative of r(x). Factor w(c).
-2*c*(c - 3)*(c - 1)**2/5
Suppose 4*s - 14 + 6 = 0. Solve 2 + 14*h**4 - 12*h**s - 2 - 17*h**4 - 12*h**3 = 0.
-2, 0
Let t(r) be the third derivative of r**6/24 - r**5/6 - 5*r**4/24 + 5*r**3/3 + 28*r**2. Determine d so that t(d) = 0.
-1, 1, 2
Let b = -2/13 - -43/26. Let l(w) = 3*w**2 + 11*w + 10. Let s be l(-1). Factor -9/2*t**3 - 6*t**s + 0 - b*t.
-3*t*(t + 1)*(3*t + 1)/2
Suppose 10*t - 14 + 14 = 0. Let 0*v + 1/3*v**4 - 1/3*v**2 + 0 + t*v**3 = 0. What is v?
-1, 0, 1
Let x(s) = -70*s**3 + 2*s**2 - 2. Let c be x(1). Let v be c/(-72) - 2/9. Solve -1/4*q**5 + v*q**3 + 1/4*q**4 - 1/4*q**2 - 1/2*q + 0 = 0 for q.
-1, 0, 1, 2
Let r = -56 + 69. What is x in 8*x**3 + 16 - 21 - 20*x**2 + r + 4*x = 0?
-1/2, 1, 2
Let w(y) = 61*y**2 + 238*y + 8. Let d(k) = k**2 + 2*k. Let x(b) = 4*d(b) - w(b). Factor x(n).
-(n + 4)*(57*n + 2)
Factor 5*q**2 + 2*q**3 + 6*q**2 + 12*q**2 - 19*q**2.
2*q**2*(q + 2)
Let h = 10107/8 + -1263. Let j(k) be the second derivative of -1/4*k**4 + 5/4*k**3 + 0 + 3/2*k**2 + 8*k - h*k**5. Let j(u) = 0. Calculate u.
-1, -2/5, 1
Let u = 322502/7 + -46070. Factor -24/7*w**2 - u*w**4 + 8/7*w + 2/7*w**5 + 26/7*w**3 + 0.
2*w*(w - 2)**2*(w - 1)**2/7
Let k(z) be the second derivative of -5*z**4/3 + 26*z**3/3 - 12*z**2 + 38*z - 1. Suppose k(b) = 0. What is b?
3/5, 2
Find j such that 46/7*j**3 - 2*j**5 - 10/7*j**4 - 8/7 + 8/7*j + 58/7*j**2 = 0.
-1, 2/7, 2
Let w = -148 - -305/2. Let d be -5 - 4/(24/14)*9/(-3). Factor -w - 1/2*z**d + 3*z.
-(z - 3)**2/2
Let l(v) = -20*v**2 - 48*v - 144. Let d(b) = -b**2 - 1909 + 1909. Let a(z) = 16*d(z) - l(z). Suppose a(x) = 0. Calculate x.
-6
Suppose 33 = 4*d + 17. Let r be (-123)/(-189) - -3*d/(-54). Determine c, given that 3/7*c**4 + r*c**3 + 1/7*c**5 + 0 + 1/7*c**2 + 0*c = 0.
-1, 0
Factor 1/5*g**2 - 19/5*g + 0.
g*(g - 19)/5
Let d(z) = 5*z**2 + 51*z - 190. Let u(l) = -11*l**2 - 102*l + 385. Let y(p) = -5*d(p) - 2*u(p). Factor y(a).
-3*(a - 3)*(a + 20)
Let f be 2 + 2*(3 - 1)/4. Let o(a) be the first derivative of 1/6*a**2 - 4 + 1/18*a**f + 0*a. Factor o(u).
u*(u + 2)/6
Let p(s) = -3*s**4 - s**3 - 5*s**2 - 15*s - 8. Let u(n) = 7*n**4 + 2*n**3 + 9*n**2 + 31*n + 17. Let t(z) = -9*p(z) - 4*u(z). Solve t(g) = 0 for g.
-1, 4
Let c be (-4*1/2)/(2/(-11)). Let j(b) = -2*b**2. Let d(f) = 10*f**2 - f. Let x(o) = c*j(o) + 2*d(o). Let x(t) = 0. Calculate t.
-1, 0
Let u(i) be the second derivative of i**4/48 + 9*i**3/2 + 729*i**2/2 - 278*i. Suppose u(g) = 0. What is g?
-54
Let w be (-22)/2 + (-40)/(-130)*13 + 7. Find s, given that -4/9*s - 2/3*s**2 + w = 0.
-2/3, 0
Let p(y) be the second derivative of y**5/10 - 11*y**4 + 363*y**3 + 77*y. Solve p(n) = 0 for n.
0, 33
Suppose x + 59 - 50 = w, -5*x = -2*w + 36. Factor 27/2*m + 21/2*m**2 + w.
3*(m + 1)*(7*m + 2)/2
Let z(t) be the first derivative of -5*t**9/3024 - t**8/112 + t**6/18 - 10*t**3/3 + 12. Let r(a) be the third derivative of z(a). Factor r(s).
-5*s**2*(s - 1)*(s + 2)**2
Factor 24*w**5 - 12*w + 23 + 6*w**2 + 6*w**3 + 3*w - 9*w**4 - 21*w**5 - 20.
3*(w - 1)**4*(w + 1)
Suppose -4*f = f - 10. Let f*d**3 - 8*d**3 + 5*d**2 + 0*d**4 + 4*d - 4*d**4 + d**2 = 0. Calculate d.
-2, -1/2, 0, 1
Let m(s) = -s**3 + s**2 - s + 4. Let w be m(0). Let j(l) be the first derivative of w*l - 4 + l**3 - 7*l - 2 + 1. Factor j(g).
3*(g - 1)*(g + 1)
Let z = 14 - 10. Let 6*g**5 + 4 - 34*g + 28*g**3 + 0 - 3 - 28*g**z + 11 + 16*g**2 = 0. Calculate g.
-1, 2/3, 1, 3
Factor -36/7 + 2/7*p**2 + 6/7*p.
2*(p - 3)*(p + 6)/7
Let t(c) be the second derivative of c**7 + 11*c**6/15 - 27*c**5/10 - 11*c**4/6 + 2*c**3 - 354*c. Solve t(o) = 0.
-1, -6/7, 0, 1/3, 1
Let v(k) be the second derivative of k**7/112 - 9*k**6/80 + 69*k**5/160 - 15*k**4/32 + 181*k. Find q such that v(q) = 0.
0, 1, 3, 5
Let n(a) be the third derivative of -a**6/120 + a**5/30 + a**4/24 - a**3/3 + 2*a**2 + 47*a. Factor n(p).
-(p - 2)*(p - 1)*(p + 1)
Let d(n) = 2*n**3 - 5*n**2 + 2*n + 2. Let c be d(2). Solve 4*q**3 - 36*q**c - 5*q**3 + 38*q**2 = 0 for q.
0, 2
Let t(i) be the second derivative of i**5/110 - i**4/3 - 23*i**3/33 - 37*i. Let t(g) = 0. What is g?
-1, 0, 23
Let x(j) be the second derivative of -8/5*j**2 + 1/75*j**6 + 52*j + 0*j**5 + 6/5*j**3 - 11/30*j**4 + 0. Suppose x(y) = 0. Calculate y.
-4, 1, 2
Let m(o) = -214*o - 5346. Let x be m(-25). Suppose -2*r**x - 3/2*r**3 + 0*r + 0 + 1/2*r**2 = 0. Calculate r.
-1, 0, 1/4
Let a(d) = -6*d**3 - 175*d**2 - 27*d + 58. Let g be a(-29). Find p, given that g + 6/7*p + 2/7*p**3 - 8/7*p**2 = 0.
0, 1, 3
Let m(w) = -28*w**3 - 396*w**2 + 64*w - 32. Let y(n) = -8*n**3 - 113*n**2 + 18*n - 9. Let a(x) = 9*m(x) - 32*y(x). Suppose a(h) = 0. What is h?
-13, 0
Factor 10*d**3 + 2*d + 12*d**2 + 7*d - 7*d**3.
3*d*(d + 1)*(d + 3)
Suppose 36*n**3 - 146*n**2 + 0*n**2 + 544*n - 298*n**2 - 176 = 0. Calculate n.
2/3, 11
Suppose 12 = 23*m - 17*m. Suppose 2*c**4 - 3*c**4 + 17*c + 5*c**4 - 8*c**3 - 12*c**m - c + 16 = 0. What is c?
-1, 2
Let k(o) be the third derivative of 0*o + 4*o**2 - 1/30*o**5 + 1/4*o**4 + 0 - 3/4*o**3. Factor k(l).
-(2*l - 3)**2/2
Let c(t) = -5*t**2 - 16*t + 45. Let x(m) = 4*m**2 + 15*m - 45. Let k(s) = -3*c(s) - 4*x(s). Factor k(j).
-(j - 3)*(j + 15)
Let l(p) be the first derivative of -p**3/8 + 9*p**2/8 - 15*p/8 + 62. Determine f so that l(f) = 0.
1, 5
Let u be (-4)/(-8)*(-5 - 44/(-8)). Factor -1/4*z**4 + u*z**3 - 1/4*z + 0 + 1/4*z**2.
-z*(z - 1)**2*(z + 1)/4
Let y be 12/(-120)*26 - (-7 - -4). Factor 0 + 0*b + y*b**2 - 1/5*b**3.
-b**2*(b - 2)/5
Let g = -57 + 59. Suppose z = 6*m - 3*m + 11, 0 = g*z - m - 7. Determine b, given that 0*b**z - 3/4*b**4 - 3/4*b**3 + 0 + 0*b = 0.
-1, 0
Let c(l) be the first derivative of 3*l**4/16 + 5*l**3/4 + 3*l**2/4 - 6*l - 101. Suppose c(z) = 0. Calculate z.
-4, -2, 1
Suppose 210*f - 8 = 205*f + 2*w, -11 = -4*f - 3*w. Let t = -339/7 + 49. Factor -2/7 + t*u - 2/7*u**f.
-2*(u - 1)**2/7
Suppose 16*c = c - c + 2*c. Determine p, given that c*p - 4/9*p**2 + 0 - 2/9*p**5 + 0*p**4 + 2/3*p**3 = 0.
-2, 0, 1
Suppose 2*h + 6 = v - 0*v, -24 = -4*v - h. Let g be 1 - ((-10)/(-8) + (-3)/v). Determine k so that -k**3 + 0*k - k**2 + 0 - g*k**4 = 0.
-2, 0
Solve -64*v**3 + 312*v**2 - 258*v + 10 - 212*v + 186 + 4*v**4 + 22*v = 0 for v.
1, 7
Let c(a) be the second derivative of a**7/1365 + a**6/780 - a**5/780 + 5*a**3/3 + 12*a. Let j(r) be the second derivative of c(r). Factor j(k).
2*k*(k + 1)*(4*k - 1)/13
Let r(s) = s**2 + s + 1. Let y(i) = 2*i**3 - 24*i**2 + 59*i + 35. Let w(x) = 3*r(x) + 3*y(x). Factor w(p).
3*(p - 6)**2*(2*p + 1)
Let 16*r + 10/3 - 10/3*r**2 = 0. What is r?
-1/5, 5
Let n(o) be the first derivative of -o**6/15 + 4*o**5/5 - 8*o**4/5 - 4*o**3/15 + 17*o**2/5 - 16*o/5 - 50. Let n(v) = 0. What is v?
-1, 1, 8
Factor 10*j**4 + 0*j + 0 - 1/2*j**5 + 32*j**2 - 34*j**3.
-j**2*(j - 16)*(j - 2)**2/2
Suppose 2/3*t**3 - 134*t + 58/3*t**2 + 210 = 0. Calculate t.
-35, 3
Let c(o) = 7*o - 2. Let i be c(10). Let u = i + -338/5. Let 2/5*s**3 + u*s + 0 - 4/5*s**2 = 0. What is s?
0, 1
Let j = 5540/7 - 790. Suppose -3*i + 0*i = -2*y, 3*y + 5*i - 19 = 0. Solve 2/7*l**2 + j*l - 2/7 - 10/7*l**y = 0 for l.
-1, 1/5, 1
Factor -932*d**2 - 934*d**2 - 32*d + 256 + 1867*d**2.
(d - 16)**2
Let p(o) = 12*o**2 + 18*o + 12. Let s(r) = -r**3 - 14*r**2 + 2*r + 25. Let z be s(-14). Let b(f) = -f**3 - f**2 - f + 1. Let y(n) = z*b(n) + p(n). Factor y(i).
3*(i + 1)**2*(i + 3)
Let r(h) be the second derivative of -11*h**5/60 - 5*h**4/9 + 46*h**3/9 - 8*h**2/3 + 2*h + 30. Factor r(i).
-(i - 2)*(i + 4)*(11*i - 2)/3
Let v = -7709 + 7718. Find r, given that v*r**2 + 0 - 36/5*r**3 - 12/5*r**4 - 12/5*r = 0.
-4, 0, 1/2
Suppose 0 = -t - h + 3, 544*t - 4*h = 539*t + 6. Factor 12/7 + 8/7*y - 8/7*y**3 - 16/7*y**t + 4/7*y**4.
4*(y - 3)*(y - 1)*(y + 1)**2/7
Suppose 