
(q - 2)*(11*q + 2)/4
Let k(p) = 9*p - 34. Let o be k(4). Let l be (-4 - -4 - 2) + 2 + o. Factor -2/9*y + 0 + 4/3*y**l - 2*y**3 + 8/9*y**4.
2*y*(y - 1)**2*(4*y - 1)/9
Let c(d) be the second derivative of d**7/14 + d**6 - 2*d - 332. Factor c(y).
3*y**4*(y + 10)
Let f = -5224 + 5224. Solve 0 + f*c + 7/10*c**4 - 2/5*c**2 + 6/5*c**3 = 0.
-2, 0, 2/7
Find r such that -6*r**3 + 4*r**3 + 4*r**3 - 5*r**3 - 2*r**2 - 10*r**2 + 84 + 75*r = 0.
-7, -1, 4
Let m(u) be the second derivative of 2*u + 0*u**3 + 1/24*u**4 + 0 + 0*u**2 - 1/40*u**5. Factor m(w).
-w**2*(w - 1)/2
Let v = 14957/2244 + 1/748. Let l(i) be the first derivative of 4*i + 6*i**2 - v*i**3 + 16/5*i**5 - 3*i**4 + 4. Factor l(d).
4*(d - 1)**2*(d + 1)*(4*d + 1)
Factor 15*g - 17 + 17 + g**2 - 36*g**2.
-5*g*(7*g - 3)
Factor -1727 - 202*q**2 + 10490*q + 6*q**2 + 283 - 11554*q.
-4*(7*q + 19)**2
Let 8*h**2 + 192/5 - 2/5*h**3 + 184/5*h = 0. What is h?
-2, 24
Let q = -1126/161 - -174/23. Suppose 24/7*k - q*k**2 - 36/7 = 0. What is k?
3
Let x(n) = -n**3 + 7*n**2 + 31*n - 12. Let m be x(10). Let p be m - -5 - (-6)/(-1 + -5). Find k, given that -4/3 - 2/3*k**p - 2*k = 0.
-2, -1
Let r(o) be the third derivative of o**7/42 + 11*o**6/8 + 24*o**5 + 160*o**4/3 + 47*o**2 + o. Let r(h) = 0. What is h?
-16, -1, 0
Suppose 3*w = p - w + 7, -2*w + 11 = p. Let s(z) be the third derivative of 3*z**2 - z**3 + 0*z + 5/12*z**4 - 1/60*z**6 + 0 - 1/30*z**p. What is b in s(b) = 0?
-3, 1
What is o in 16/9*o**3 - 64/9*o - 32/9 + 16/3*o**2 - 10/9*o**4 = 0?
-2, -2/5, 2
Let o(n) be the third derivative of -2*n**7/525 + n**6/24 - 7*n**5/50 + 5*n**4/24 - 2*n**3/15 - 798*n**2. Solve o(b) = 0 for b.
1/4, 1, 4
Let v = -185 - -185. Let k(l) be the second derivative of -1/8*l**4 - 4*l + 3/4*l**2 + 0 + v*l**3. Find i such that k(i) = 0.
-1, 1
Factor 399 - 5*j**2 + 24*j**2 + 276 - 16*j**2 - 90*j.
3*(j - 15)**2
Let o = 0 + 5. Suppose -12 = -o*k + 18. Let u(m) = -m**4 + m**3 + 3*m**2 - m. Let h(s) = s**2. Let z(y) = k*h(y) - 3*u(y). Solve z(f) = 0 for f.
-1, 0, 1
Let k(o) = -o**2 - 16*o + 19. Let f be k(-17). Factor -15*c**2 - 75*c + 28 + f + 6*c.
-3*(c + 5)*(5*c - 2)
Let m(h) be the second derivative of 4*h + 0 + 3*h**2 + 7/2*h**3 - 9/4*h**4. Factor m(x).
-3*(x - 1)*(9*x + 2)
Let q(g) be the first derivative of -54 + 3/40*g**5 + 0*g - 15/32*g**4 + 0*g**2 + 0*g**3. Suppose q(o) = 0. Calculate o.
0, 5
Let z(v) = -92*v - 8. Let n be z(-2). Find p, given that 20 + 98*p**3 - 1 + 5 + 350*p**2 + n*p = 0.
-3, -2/7
Let y(r) be the first derivative of 1/20*r**5 - 1/8*r**2 + 1/16*r**4 + 0*r - 9 - 1/12*r**3. Factor y(g).
g*(g - 1)*(g + 1)**2/4
Let j(p) = p - 1. Let d = 58 + -30. Let y(o) = 4*o**3 - 10*o**2 - 10*o + 14. Let n(h) = d*j(h) + 2*y(h). Solve n(u) = 0 for u.
0, 1/2, 2
Let s(n) be the second derivative of n**10/80640 - 2*n**4 - 26*n. Let h(p) be the third derivative of s(p). Determine y so that h(y) = 0.
0
Let n be -19 + 8 + (-253)/(-22). Factor n*q**3 + 1/4*q + 5/4*q**2 - 1/2.
(q + 1)*(q + 2)*(2*q - 1)/4
Let i = 2/109433 + 109429/218866. Let d = 4 + -3. Factor d - 1/2*n + i*n**3 + 1/2*n**4 - 3/2*n**2.
(n - 1)**2*(n + 1)*(n + 2)/2
Let j(y) be the first derivative of y**9/10584 + y**8/2940 + y**7/2940 + 23*y**3/3 + 28. Let i(z) be the third derivative of j(z). Solve i(h) = 0 for h.
-1, 0
Let u(v) be the third derivative of -v**8/16800 + v**7/2100 - v**6/900 - 5*v**4/12 - 17*v**2. Let f(m) be the second derivative of u(m). Factor f(y).
-2*y*(y - 2)*(y - 1)/5
Let p be -2 + (19/(-5) - -6). Solve -1/5*n - 2/5*n**2 + 1/5 + 2/5*n**3 + 1/5*n**4 - p*n**5 = 0 for n.
-1, 1
Let y be 5*3/30*6. Factor 2*l**y - l**3 - 4706*l - 3*l**2 + 4702*l.
l*(l - 4)*(l + 1)
Find w such that -w**2 + 15227*w - 15043*w - 3*w**2 = 0.
0, 46
Let b(i) = -8*i + 120. Let w be b(15). Let m(s) be the first derivative of 1 + w*s**2 - 2/3*s + 2/9*s**3. Factor m(x).
2*(x - 1)*(x + 1)/3
Let t = 65 - 60. Factor 25*f**2 + 9*f**2 - 5*f**3 - t*f**4 + f - 9*f**2 - 16*f.
-5*f*(f - 1)**2*(f + 3)
Let 2999*t + 2930*t + 405 + 3*t**2 - 6337*t = 0. Calculate t.
1, 135
Suppose -3*i + 12 = 0, -t + 13 = i + 1. Factor -36*p**4 + t*p - 4*p**3 - 10*p**3 + 6*p**3 + 36*p**2.
-4*p*(p - 1)*(p + 1)*(9*p + 2)
Let z(n) = -10*n + 6. Let m(h) = 2*h - 1. Let q(t) = -22*m(t) - 4*z(t). Let i be q(-2). Factor 0 - 2*u**2 + 3*u + 6 + 5*u**2 + i*u.
3*(u + 1)*(u + 2)
Let l(o) = 2*o**2 + 7*o - 4. Let j be l(-4). Suppose -11*v + 17*v = j. Solve v*c**3 - 6/5*c**2 + 0 + 2/5*c**4 + 4/5*c = 0.
-2, 0, 1
Solve 4 - 2/5*o**2 + 6/5*o = 0.
-2, 5
Let a(z) = -10*z**5 + 4*z**4 + 10*z**3 + z**2 + 5*z + 5. Let v(w) = 15*w**5 - 6*w**4 - 15*w**3 - w**2 - 7*w - 7. Let u(k) = 7*a(k) + 5*v(k). Factor u(s).
s**2*(s - 1)*(s + 1)*(5*s - 2)
Let z = 115/213 - -9/71. Let o = -1 - -3. Determine s so that -z*s**4 + 2/3 + 4/3*s**3 - 4/3*s + 0*s**o = 0.
-1, 1
Find j, given that -205*j**2 + 15*j**3 + 17*j**4 + 187*j**2 - 5*j**4 = 0.
-2, 0, 3/4
Suppose 0 = 4*d + 3*z - 7, 2*d + 2*d + 5*z = 1. Factor d*v**2 - 4*v - 746 + 746.
4*v*(v - 1)
Let f(t) be the first derivative of t**6/270 - t**5/45 - t**4/6 + 2*t**3 - 17. Let y(l) be the third derivative of f(l). Factor y(j).
4*(j - 3)*(j + 1)/3
Let o be ((-354)/(-2360))/(1 - (-4)/(-5)). Let -o*j**4 + 0 + 9/4*j**2 + 0*j**3 + 3/2*j = 0. Calculate j.
-1, 0, 2
Let j(d) be the third derivative of -d**8/2856 + 2*d**7/1785 + d**6/510 - 2*d**5/255 - d**4/204 + 2*d**3/51 - 2*d**2 - 20. Solve j(t) = 0.
-1, 1, 2
Let y(r) be the second derivative of -r**6/840 + r**5/168 - r**4/84 - r**3/2 - 5*r. Let z(v) be the second derivative of y(v). Suppose z(j) = 0. What is j?
2/3, 1
Let b(k) be the first derivative of 3/4*k**4 + 0*k + 1/2*k**2 + k**3 + 1/5*k**5 - 7. Let b(j) = 0. Calculate j.
-1, 0
Let w be 3 + -1 - (-6 + 9 + (-1 - 3)). What is m in -m**w - 2/3*m**4 + 1/3*m**5 - 4/3*m + 0 + 8/3*m**2 = 0?
-2, 0, 1, 2
Suppose 6*n - 35 = -11. Suppose 4*g + g**3 - 21*g**4 - 5*g**3 + 17*g**4 + n*g**2 = 0. What is g?
-1, 0, 1
Solve -48*b - 938 + 45*b**2 - 52*b**2 + 362 + 6*b**2 = 0 for b.
-24
Let a(i) be the third derivative of i**8/2688 - 13*i**7/1680 + i**6/20 - 3*i**5/40 + 15*i**2 - 7*i. Let a(k) = 0. Calculate k.
0, 1, 6
Let w(d) be the first derivative of -d**7/105 + d**6/10 - 13*d**5/30 + d**4 - 4*d**3/3 - 2*d**2 - 10. Let a(y) be the second derivative of w(y). Factor a(o).
-2*(o - 2)**2*(o - 1)**2
Let i(o) = -16*o**3 + 39*o**2 - 60*o + 31. Let f(w) = -w**3 - w**2 + 1. Let v(n) = -6*f(n) + i(n). Factor v(y).
-5*(y - 1)**2*(2*y - 5)
Let l(v) = -v**3 - 8*v**2 - 9*v - 11. Let r be l(-7). Factor 20*a**r + 12*a**2 - 44*a + 5 + 16 + 27 - 84*a.
4*(a - 2)*(a + 3)*(5*a - 2)
Let v(j) = -11*j**4 - 13*j**3 + 11*j**2 + 4*j. Let l(x) = -6*x**2 - 2*x + 0*x + 2*x**4 + x**2 + 6*x**3 + 3*x**4. Let g(m) = -9*l(m) - 4*v(m). Factor g(t).
-t*(t - 1)*(t + 1)*(t + 2)
Let m(j) be the first derivative of -5/2*j**3 - 8*j + 7/12*j**4 + 1 + 9/2*j**2 - 1/20*j**5. Let s(h) be the first derivative of m(h). Factor s(n).
-(n - 3)**2*(n - 1)
Let d(h) be the first derivative of -h**6/2160 + h**5/180 + 11*h**3/3 - 14. Let i(q) be the third derivative of d(q). Factor i(x).
-x*(x - 4)/6
Let l(d) be the second derivative of -8/3*d**3 - 3*d**4 + 0 + 0*d**2 - 1/60*d**6 - 33/80*d**5 - 33*d. Factor l(n).
-n*(n + 8)**2*(2*n + 1)/4
Let z = -31154/3 + 10403. Let a = 4 + -1. Suppose z*r**2 + 4 + 56/3*r - 25/3*r**a = 0. What is r?
-2/5, 3
Let i(q) be the first derivative of 2*q**7/105 - q**6/15 - q**5/3 + q**4 - 23*q**2/2 + 13. Let u(t) be the second derivative of i(t). Factor u(j).
4*j*(j - 3)*(j - 1)*(j + 2)
Factor 5*y**2 - 23/8*y + 2*y**3 + 3/8.
(y + 3)*(4*y - 1)**2/8
Let p be (8/2 - 4) + 16. Solve -14*g**3 + 11*g - 10*g**4 - p*g - 4*g**2 + 5*g = 0 for g.
-1, -2/5, 0
Let w(a) = a**2 - 18*a + 80. Let s be w(7). Let v(p) be the first derivative of 1/15*p**2 + 2/45*p**s + 0*p + 2. What is l in v(l) = 0?
-1, 0
Let y(s) be the second derivative of -s**5/70 + s**4/7 - 5*s**3/21 - 14*s - 5. Factor y(t).
-2*t*(t - 5)*(t - 1)/7
Let q(s) = 5*s + 20. Let l be q(-4). Suppose l = 5*h - h - 8. Find p such that -2/3*p**3 - 2*p - 2*p**h - 2/3 = 0.
-1
Let u(v) be the second derivative of 3*v**4/22 + 8*v**3/33 - v**2/11 + 40*v - 3. Suppose u(m) = 0. Calculate m.
-1, 1/9
Let f(a) = -9*a**3 + 31*a + 58. Let q(j) = 2*j**3 - j - 1. Let b(t) = f(t) + 4*q(t). Factor b(i).
-(i - 6)*(i + 3)**2
Sup