
(j + 1)**2*(j + 2)*(3*j - 1)
Let q(y) = -4*y**3 - 28*y**2 + 32*y + 6. Let j(g) = 5*g**3 + 27*g**2 - 32*g - 7. Let z(f) = -6*j(f) - 7*q(f). Factor z(t).
-2*t*(t - 16)*(t - 1)
Let r = -2/1845 - -1853/7380. Factor 0*x**2 + 0 + r*x**3 - 1/4*x.
x*(x - 1)*(x + 1)/4
Let y be (-4)/(-22)*(-36 - (-20387)/555). Solve -22/15*n**2 - 8/15 + 8/5*n - 2/15*n**5 + 2/5*n**4 + y*n**3 = 0 for n.
-2, 1, 2
Suppose -5*u + 3*u = -572. Factor 274*c**2 + 1 + 0 - u*c**2 - 9 + 28*c.
-4*(c - 2)*(3*c - 1)
Let m(c) be the third derivative of c**6/72 - 5*c**5/18 - 5*c**4/3 + 17*c**2. Find l such that m(l) = 0.
-2, 0, 12
Suppose -64 = 4*o + 4*r, -6 = -5*o + 2*r - 72. Let f(d) = -4*d - 54. Let i be f(o). Find x such that 0 + 10/3*x**2 - 4/3*x - i*x**3 = 0.
0, 2/3, 1
Let m be -2 - (-46)/6 - (6 - 1). Factor 0 + m*r - 2/3*r**4 - 2/3*r**3 + 2/3*r**2.
-2*r*(r - 1)*(r + 1)**2/3
Let j = 16977/2 - 8469. Factor 169/4*p**2 + 9/4 + j*p.
(13*p + 3)**2/4
Let j(b) = -b**2 + b. Let d(u) = -4*u**2 + 2*u + 6. Let c(r) = -d(r) + 3*j(r). Let c(f) = 0. Calculate f.
-3, 2
Let x(t) be the third derivative of 0 - 1/3*t**3 + 8*t**2 + 1/12*t**4 - 1/30*t**6 + 1/15*t**5 + 1/168*t**8 + 0*t - 1/105*t**7. Suppose x(s) = 0. Calculate s.
-1, 1
Determine w so that -8*w**3 + 6311*w + 1176*w**2 + w**4 + 38416 + 29*w**3 + 35*w**3 + 4665*w = 0.
-14
Let n = 580 + -578. Let l(z) be the first derivative of 4 - 5/2*z**n - 7/3*z**3 + 2*z. Factor l(u).
-(u + 1)*(7*u - 2)
Let g be (-4)/(-66)*39 + -2. Let o = -450 + 450. Factor o*h + 0 - 2/11*h**4 + 6/11*h**3 - g*h**2.
-2*h**2*(h - 2)*(h - 1)/11
What is p in 23*p + 5*p**4 + 450 - 115*p**2 - 21*p - 5*p**3 - 17*p = 0?
-3, 2, 5
Suppose 63*s + 16*s + 40*s = -23*s. Find u, given that 0*u + s - 3/4*u**3 - 3/4*u**4 + 0*u**2 = 0.
-1, 0
Find u, given that 1/9 - 8/9*u**3 + 5/9*u + 2/9*u**2 = 0.
-1/2, -1/4, 1
Suppose 19*i - 180 = 7*i. Let n be -1*(-1)/i*3. Factor -4/5 - s - n*s**2.
-(s + 1)*(s + 4)/5
Suppose -44*p + 59 + 249 = 0. Let l(y) be the third derivative of 1/2*y**6 + 1/4*y**3 - 6*y**2 - 8/35*y**p + 21/20*y**5 + 0*y + 0 + 23/32*y**4. Factor l(a).
-3*(a - 2)*(4*a + 1)**3/4
Let n(w) = -2*w**5 + 5*w**4 - w**3 + w**2 - 1. Let m(x) = -2 + x**4 + x**5 + 1 + 8*x**2 - 7*x**2. Let i(s) = 3*m(s) - 3*n(s). Factor i(c).
3*c**3*(c - 1)*(3*c - 1)
Let z = -2004901/5544 + 3978/11. Let s(u) be the third derivative of 0*u**7 - z*u**8 + 1/45*u**5 + 0*u**3 + 0*u + 0 + 1/60*u**6 + u**2 + 0*u**4. Factor s(v).
-2*v**2*(v - 2)*(v + 1)**2/3
Let l(y) be the second derivative of y**6/30 - 2*y**5/5 + y**4/2 + 4*y**3/3 - 7*y**2/2 + 2*y + 90. Factor l(a).
(a - 7)*(a - 1)**2*(a + 1)
Let u = 58/169 + 53/338. Factor -2 + 3/2*t + u*t**2.
(t - 1)*(t + 4)/2
Factor -3 - 1/4*x**2 - 13/4*x.
-(x + 1)*(x + 12)/4
Let g = -8057 + 8060. Factor 1/4*a**g + 5/4*a - a**2 - 1/2.
(a - 2)*(a - 1)**2/4
Suppose -346*n + 465*n**2 + 7*n**3 + 2*n**3 - 4*n**3 - 940*n**2 - 134*n = 0. What is n?
-1, 0, 96
Let c = -3003/5 + 602. Factor 8/5*k**2 - 1/5*k**5 + c*k - 2/5*k**4 + 2/5 + 2/5*k**3.
-(k - 2)*(k + 1)**4/5
Let u(z) = z**2 + 68*z - 365. Let p be u(5). Find h such that p*h - 4/17*h**2 + 4/17*h**4 + 2/17*h**5 + 0 - 2/17*h**3 = 0.
-2, -1, 0, 1
Let 31*s**3 - s**2 + 6*s**2 - 30*s**3 + 6*s = 0. Calculate s.
-3, -2, 0
Let k(y) be the second derivative of 2187*y**6/25 - 6561*y**5/25 + 2619*y**4/10 - 432*y**3/5 + 64*y**2/5 + 764*y. Factor k(n).
2*(9*n - 8)**2*(9*n - 1)**2/5
Let f(d) = -5*d**3 - 26*d**2 + 75*d - 44. Let y(c) = -3 + 1 - c**2 + 2 + 1. Let x(w) = -f(w) - 4*y(w). Solve x(z) = 0.
-8, 1
Let o(f) be the first derivative of -f**6/33 + 8*f**5/55 - f**4/11 - 8*f**3/33 + 3*f**2/11 - 155. Solve o(d) = 0 for d.
-1, 0, 1, 3
Let c be (3 - 2)/(2*1/6). Factor 5*x**4 - 3*x + 5*x - 4*x**3 - 6*x**4 + 2*x**c + x**2.
-x*(x - 1)*(x + 1)*(x + 2)
Let x be (11/4)/(33/18). Factor -9/4*s**2 + 5/8*s**3 + x*s + 1.
(s - 2)**2*(5*s + 2)/8
Let g(t) be the second derivative of t**5/6 + 7*t**4/12 - 13*t**3/3 - 4*t**2/3 - 657*t. Factor g(s).
(s - 2)*(s + 4)*(10*s + 1)/3
Let k(o) be the second derivative of -o**4/24 - 5*o**3/6 + 75*o**2/4 - 2*o + 484. Find q, given that k(q) = 0.
-15, 5
Let w(c) be the second derivative of -3*c**5/140 - 2*c**4/7 - 10*c**3/7 - 24*c**2/7 - 11*c + 3. Factor w(z).
-3*(z + 2)**2*(z + 4)/7
Let b = -1990568/121 - -1184414382/71995. Let s = b + -2/595. Factor -s - 2/11*z**2 + 6/11*z.
-2*(z - 2)*(z - 1)/11
Let b = 238/1065 + -5/213. Determine c, given that -b*c**2 + 1/5*c + 2/5 = 0.
-1, 2
Let g = 19128/5 - 3788. Let f = 38 - g. Find j, given that j + f - 7/5*j**2 = 0.
-2/7, 1
Let -1/2*p**3 - 21/2*p**2 - 135/2*p - 243/2 = 0. What is p?
-9, -3
Let m = 37298 + -37296. Factor -16/13 - 12/13*k + 6/13*k**m + 2/13*k**3.
2*(k - 2)*(k + 1)*(k + 4)/13
Let x(v) be the third derivative of 1/105*v**7 + 0 - 3*v**2 + 33/10*v**5 - 1/3*v**6 + 3*v - 100/3*v**3 + 5/3*v**4. Find a such that x(a) = 0.
-1, 1, 10
Let p(w) = w + 1. Let l be p(9). Factor 16*h - 6*h**3 + 10 + 13*h - 21*h - l*h**2 - 2.
-2*(h - 1)*(h + 2)*(3*h + 2)
Determine a so that -5*a + 10*a**3 + 12*a**3 + 4*a**2 - 21*a**3 = 0.
-5, 0, 1
Let o(w) be the third derivative of w**8/2016 + w**7/1260 - 17*w**6/720 - 7*w**5/120 + w**4/4 + 8*w**2 + 1. Factor o(x).
x*(x - 4)*(x - 1)*(x + 3)**2/6
Let j(c) = -5*c**2 + 7*c + 1. Suppose 4*g - 10 = -g. Let k(f) = -30*f**g + 27*f + 51*f + 12 - 26*f**2. Let m(u) = 68*j(u) - 6*k(u). Factor m(o).
-4*(o - 1)**2
Suppose 17*k = -117 + 32. Let v be k + 7 - (-8)/12. Factor -8/3*b - 2/3*b**2 + 2/3*b**3 + v.
2*(b - 2)*(b - 1)*(b + 2)/3
Let q(b) = b**2 - 28*b - 477. Let o be q(-12). Suppose 0 - 2/5*h**o - 8/5*h + 8/5*h**2 = 0. What is h?
0, 2
Suppose 4 = 5*v - 0*v + r, -4*v - 5*r = -20. Factor -2*j**2 + 6*j**3 + 2*j**5 - 330*j**4 + 324*j**4 + v*j**3.
2*j**2*(j - 1)**3
Suppose 93/2*b**3 + 60*b**2 - 18*b + 6*b**4 + 0 = 0. What is b?
-6, -2, 0, 1/4
Let d(i) be the first derivative of 3*i**4/20 - 10*i**3 - 166. Factor d(x).
3*x**2*(x - 50)/5
Let o = -141/20 + 29/4. Let a(w) be the second derivative of w - 1/50*w**5 - o*w**3 + 1/10*w**4 + 0 + 1/5*w**2. Let a(f) = 0. What is f?
1
Let d(v) = v + 13. Let i be d(-9). Suppose 2*n + 2*w = 6, -5*w + 1 = -i*n + 4. Factor -4/7*b + 0 + n*b**2.
2*b*(7*b - 2)/7
Let l(g) be the third derivative of -11*g**5/180 + 13*g**4/18 - 10*g**3/3 - 970*g**2. Factor l(p).
-(p - 2)*(11*p - 30)/3
Factor 14*q**2 + 6*q**4 - 15*q**3 - 1/2*q**5 + 0 - 9/2*q.
-q*(q - 9)*(q - 1)**3/2
Suppose 2*y + 5*o - 4 = 0, 2*o + 7 = -3*y + 13. Factor g - 1/5*g**y + 0.
-g*(g - 5)/5
Suppose 0 = 9*l + 2*l - 22. Suppose -6*k + 2*k + 6 = -l*p, 2*k - 5*p = -1. Factor -8/5 - 8/5*x - 2/5*x**k.
-2*(x + 2)**2/5
Let z(k) be the third derivative of 3/2*k**3 + 0 + 0*k - 1/10*k**5 - 1/70*k**7 + 16*k**2 + 1/10*k**6 - 1/2*k**4. Factor z(y).
-3*(y - 3)*(y - 1)**2*(y + 1)
Let a(r) = -r**2 - r + 23. Let l(w) = -w**2 - w + 11. Let n(c) = -c**2 + 12*c - 14. Let v be n(11). Let z(t) = v*a(t) + 7*l(t). Factor z(d).
-4*(d - 1)*(d + 2)
Suppose -1/5*y**4 - 2*y**3 + 12*y - 36/5 - 13/5*y**2 = 0. Calculate y.
-6, 1
Let g(m) = -5*m + 54. Let a be g(12). Let t = 33/5 + a. Factor 6/5*i**3 - t*i**4 + 0 + 0*i + 0*i**2.
-3*i**3*(i - 2)/5
Let v(t) = -t + 1. Let r = -38 - -35. Let z be v(r). Solve 0 + 2/3*g**3 + 2/3*g**z - 2/3*g - 2/3*g**2 = 0.
-1, 0, 1
Let i be 1*2/4144*1268. Let a = -3/74 + i. Factor 0 + a*c - 2/7*c**2 - 2/7*c**3.
-2*c*(c - 1)*(c + 2)/7
Factor 1/3*c**2 + 50 - 1/6*c**3 + 95/6*c.
-(c - 12)*(c + 5)**2/6
Let q(o) be the first derivative of 3*o**5/20 - o**4/2 - 29*o + 41. Let c(n) be the first derivative of q(n). Find r such that c(r) = 0.
0, 2
Let q(f) = f**2 + 22*f + 78. Let x be q(-18). Let j be ((-99)/x)/11 + 2. Factor 1/2*c + 0 - 1/2*c**2 - 1/2*c**3 + j*c**4.
c*(c - 1)**2*(c + 1)/2
Let n(k) be the second derivative of -1/240*k**5 + 0*k**2 + 0 + 0*k**4 + 3*k + 1/3*k**3 + 1/1440*k**6. Let u(m) be the second derivative of n(m). Factor u(c).
c*(c - 2)/4
Let y = 40701/5 + -8139. Suppose 0*s - y*s**3 + 0 + 2/5*s**5 - 4/5*s**2 + 0*s**4 = 0. What is s?
-1, 0, 2
Let l(p) be the third derivative of -p**8/840 + 6*p**7/175 - 19*p**6/100 - 26*p**5/15 + 5*p**4 + 320*p**2. Find u such that l(u) = 0.
-3, 0, 1, 10
Let c(o) = -86*o**4 + 236*o**3 - 156*o**2 + 20*o + 10. Let k(s) = s**4 + s**3 - s + 1. Let b(w) = -c(w) + 12*k(w). Solve b(p) = 0.
1/7, 1
Let c be (-12)/(-78) + 267/39. Let i(z) = -z**2 