 Let p(r) = m*w(r) + 3*s(r). Factor p(h).
5*h**3*(h - 1)*(h + 1)
Factor -560/3*y + 175/3*y**2 + 5/3*y**3 + 380/3.
5*(y - 2)*(y - 1)*(y + 38)/3
Let k(l) = -l**5 - l**4 - l**3 + 1. Let u(h) = -20*h**5 - 32*h**4 - 24*h**3 + 8*h**2 - 4*h + 24. Let r(f) = 24*k(f) - u(f). Let r(t) = 0. What is t?
-1, 0, 1
Let i = -2203/7 + 315. Determine v so that -10/7*v**2 + i*v**3 - 6/7 + 2*v = 0.
1, 3
Suppose 24/5*s - 4/5 - 139/5*s**3 - 207/5*s**4 + 3*s**2 - 81/5*s**5 = 0. Calculate s.
-1, 2/9
Let t(g) be the second derivative of -g**7/1680 + g**6/960 + g**5/480 - g**4/192 + 14*g**2 + 36*g. Let s(u) be the first derivative of t(u). Factor s(i).
-i*(i - 1)**2*(i + 1)/8
Factor 2/5*y - 1/5*y**5 + 3/5*y**3 + y**2 - 1/5*y**4 + 0.
-y*(y - 2)*(y + 1)**3/5
Let d(m) be the third derivative of -m**6/90 + 2*m**5/15 + 5*m**3/3 + 10*m**2. Let l(z) be the first derivative of d(z). Find o such that l(o) = 0.
0, 4
Suppose 0 = 6*f - 21*f + 90. Suppose -f = -196*k + 193*k. Factor 3/5*w**3 - 1/5*w**5 - 2/5*w**4 + 0*w + 0*w**k + 0.
-w**3*(w - 1)*(w + 3)/5
Let z(x) be the first derivative of 1/16*x**6 + 9/8*x**4 + 9/20*x**5 + 0*x + x**3 + 0*x**2 - 5. Factor z(n).
3*n**2*(n + 2)**3/8
Let b be 33/6 - 0/35. Factor -9/2*h**2 - 3/2*h**5 - h + 0 - b*h**4 - 15/2*h**3.
-h*(h + 1)**3*(3*h + 2)/2
Let c be (-100)/(-369) - (1296/(-328) - -4). Determine q so that 4/3*q - 2 - c*q**2 = 0.
3
Let m be ((-9)/(-24))/(14 - 11). Let b(c) be the first derivative of 1/3*c**3 + 4 + 0*c - m*c**2. Factor b(s).
s*(4*s - 1)/4
Let g be 32/10 - (-1)/(-5). Let v = 13 - 9. Solve 1/2*w + 0 + 2*w**v + 1/2*w**5 + g*w**3 + 2*w**2 = 0 for w.
-1, 0
Let k be (156/12 + -12)*2. Let -2/3 + 5/3*a + 1/3*a**3 - 4/3*a**k = 0. Calculate a.
1, 2
Let h(p) be the first derivative of -p**4/4 - 3*p**3 - p**2/2 - 9*p - 1. Let a be h(-9). Factor 0*v**2 - 1/4*v**3 + a - 1/4*v**4 + 0*v.
-v**3*(v + 1)/4
Let n(i) be the first derivative of -i**5/45 - i**4/6 + 11*i**3/27 + 10*i**2/3 - 100*i/9 - 179. Factor n(f).
-(f - 2)**2*(f + 5)**2/9
Suppose -4/7*w**3 + 2/7*w**4 - 2/7*w**2 + 1/7*w**5 + 3/7*w + 0 = 0. What is w?
-3, -1, 0, 1
Let i(j) = j**2 - j. Suppose 3*g - 13 = -10. Let w be i(g). Factor -1/4*u + 0*u**2 + 0*u**4 - 1/4*u**5 + 1/2*u**3 + w.
-u*(u - 1)**2*(u + 1)**2/4
Let p(t) be the second derivative of -t**4/4 - 5*t**3/6 - 2*t**2 - 10*t. Let q(g) = -16*g**2 - 26*g - 21. Let d(l) = 11*p(l) - 2*q(l). Factor d(n).
-(n + 1)*(n + 2)
Suppose 39 = 7*f - 2*q, 0 = -f - q - 6 - 0. Factor 4/5 - 4/5*n**2 + 4/5*n**f - 4/5*n.
4*(n - 1)**2*(n + 1)/5
Let p(o) = 31*o - 742. Let v be p(24). Let -1/6*k**v + 5/3*k - 25/6 = 0. What is k?
5
Let l(v) be the second derivative of -v**8/10080 - v**7/2520 + 3*v**3/2 - 9*v. Let z(s) be the second derivative of l(s). Factor z(t).
-t**3*(t + 2)/6
Let a(p) be the third derivative of -p**5/270 + 23*p**4/54 - 529*p**3/27 - 2*p**2 - 15. What is k in a(k) = 0?
23
Let i be -1 - (-196)/9 - 8/(-36). What is t in 24*t**2 - i*t**2 - 2*t + 2*t = 0?
0
Let f(m) be the second derivative of -1/6*m**4 + 0 - 49*m**2 - 14/3*m**3 + 17*m. Solve f(l) = 0.
-7
Let n(r) be the first derivative of r**4/6 + 5*r**3/3 + 4*r**2 + 34*r - 44. Let i(f) be the first derivative of n(f). Solve i(w) = 0 for w.
-4, -1
Let b(m) = -m**3 + 10*m**2 - m + 13. Let g be b(10). Factor 8 + 3*u**2 - 9*u + u**2 - g*u + 0*u.
4*(u - 2)*(u - 1)
Let x be (90/21)/(456/399). Factor 5/4*l**4 - x*l**2 + 1/2*l**3 - 4*l - 1.
(l - 2)*(l + 1)**2*(5*l + 2)/4
Let c(l) be the third derivative of -l**7/1260 - l**6/30 - 3*l**5/5 + 3*l**4/8 - 4*l**2. Let p(z) be the second derivative of c(z). Suppose p(g) = 0. What is g?
-6
Let v be (-92)/20 - (-3 - (-8)/(-2)). Solve v*k**3 - 4/5*k**5 + 4*k**2 + 0 + 8/5*k - 4/5*k**4 = 0.
-1, 0, 2
Let t be 13 + -5 + (44/18 - 10). Factor 2/9*r**2 + t + 2/3*r.
2*(r + 1)*(r + 2)/9
Let k(f) be the first derivative of -f**3/18 - 6*f**2 - 216*f - 928. Let k(g) = 0. Calculate g.
-36
Let w be (-515)/(-103) - (1 - 0). Let q(c) be the first derivative of 4/13*c - 11 - 4/39*c**3 - 1/13*c**2 + 1/26*c**w. Factor q(h).
2*(h - 2)*(h - 1)*(h + 1)/13
Let d(o) be the first derivative of -1/6*o**4 + 0*o**3 - 6 + 2/45*o**5 + 4/9*o**2 + 0*o. Factor d(j).
2*j*(j - 2)**2*(j + 1)/9
Let c(i) = -55*i**3 - 445*i**2 + 540*i + 11160. Let y(d) = 8*d**3 + 64*d**2 - 77*d - 1594. Let m(s) = -3*c(s) - 20*y(s). Find q such that m(q) = 0.
-8, 5
Let l(i) be the first derivative of 2*i**3 + 3/4*i**4 - 6*i - 3/2*i**2 - 4. Suppose l(u) = 0. Calculate u.
-2, -1, 1
Suppose -m = 7*p - 8*p - 10, -5*p - 2*m - 15 = 0. Let z be (-4)/(-4) + p + 9. Find k such that 3/7*k**3 + 5/7*k**2 - 1/7*k**z + 2/7*k - 1/7*k**4 + 0 = 0.
-1, 0, 2
Let o(d) be the third derivative of -d**10/40320 - d**9/10080 - d**8/8960 - d**4/24 + 9*d**2. Let f(y) be the second derivative of o(y). Factor f(c).
-3*c**3*(c + 1)**2/4
Let r = 27 - 23. Factor 2*p - r*p**2 + 6 + 2 + 2*p.
-4*(p - 2)*(p + 1)
Let d(f) be the third derivative of 1/12*f**5 + 5/6*f**4 + 0 + 5/2*f**3 + 0*f + 7*f**2. Let d(q) = 0. What is q?
-3, -1
Let k(u) be the second derivative of -u**5/70 + u**4/42 + 4*u**3/21 - 4*u**2/7 + 38*u. Factor k(y).
-2*(y - 2)*(y - 1)*(y + 2)/7
Suppose 4*o - 4 = -2*v - 2, -5*o - 5*v + 5 = 0. Let y(g) be the first derivative of -2 - 2*g**2 + 14/3*g**3 + o*g. Find j such that y(j) = 0.
0, 2/7
Suppose -13 = -3*j + c, 8*j - 11*j + 2*c + 20 = 0. Factor 2/9*a**3 - 4/9*a + 0 - 2/9*a**j.
2*a*(a - 2)*(a + 1)/9
Let x(p) be the first derivative of 2*p**6/27 + 2*p**5/3 + 5*p**4/6 - 40*p**3/27 - 4*p**2/3 - 301. Find z, given that x(z) = 0.
-6, -2, -1/2, 0, 1
Let q be -10*(-4 + 20/4). Let i(k) = -2*k**2 - 21*k - 8. Let f be i(q). Factor 4/3 + f*a**2 - 10/3*a + 2/3*a**3 - 2/3*a**4.
-2*(a - 1)**3*(a + 2)/3
Let f(q) = q**3 - q**2 - q - 7. Let d be f(3). Suppose -6*n + d = -4*n. What is v in -v + 0*v**4 - 3*v**3 - v**n + 5*v**3 - v + 1 = 0?
-1, 1
Let i(y) be the third derivative of y**8/112 - y**6/10 + y**5/10 + 3*y**4/8 - y**3 - 15*y**2 + 13. Factor i(q).
3*(q - 1)**3*(q + 1)*(q + 2)
Let k = 34 + -28. Let s be (-1)/(-6)*k/5. Solve 0 - s*y**4 + 1/5*y**2 + 0*y**3 + 0*y = 0.
-1, 0, 1
Let o(v) = -v**5 + v**3 + v**2 + v. Let a(t) = -13*t**5 - 21*t**4 + 10*t**3 + 16*t**2 - 2*t. Let b(r) = a(r) + 5*o(r). What is h in b(h) = 0?
-1, -1/6, 0, 1
Suppose 119*x = -o + 123*x, o + x = 0. Let m(c) be the third derivative of -1/45*c**5 + 0 + o*c + 5/36*c**4 + 1/3*c**3 - 4*c**2. Factor m(j).
-2*(j - 3)*(2*j + 1)/3
Solve 30/7*w**2 + 4*w**3 - 2/7*w**4 + 0*w + 0 = 0.
-1, 0, 15
Let z(i) = -17. Let u(d) = 5. Let j(r) = -7*u(r) - 2*z(r). Let y(w) = -w**2 - 10*w - 23. Let q(x) = 2*j(x) + y(x). Factor q(k).
-(k + 5)**2
Let v(f) = -f - 4 + 0*f + 2*f**2 - 4*f**2 - f. Suppose -z = -3*z - 10. Let g(k) = 3*k**2 + 2*k + 5. Let d(s) = z*v(s) - 4*g(s). Let d(r) = 0. Calculate r.
0, 1
Let q(b) be the second derivative of -b**4/66 + b**3/33 + 2*b**2/11 - 69*b. Suppose q(z) = 0. What is z?
-1, 2
Let n(b) be the first derivative of -3*b**5/10 + 49*b**4/40 - 19*b**3/10 + 27*b**2/20 - 2*b/5 - 192. Factor n(l).
-(l - 1)**3*(15*l - 4)/10
Let i(y) be the second derivative of y**4/3 - 4*y**3 - 107*y. Factor i(s).
4*s*(s - 6)
Let u = 49 - 47. Let 85*x**2 - 6*x**3 - x**3 - 3*x - u - 73*x**2 + 0*x = 0. Calculate x.
-2/7, 1
Let c(i) be the second derivative of -i**4/4 - 4*i**3 - 49*i. Factor c(x).
-3*x*(x + 8)
Let h(k) = -47*k**4 - 222*k**3 - 395*k**2 - 240*k - 32. Let o(g) = 48*g**4 + 220*g**3 + 396*g**2 + 240*g + 32. Let c(z) = -4*h(z) - 3*o(z). Solve c(r) = 0.
-2, -1, -2/11
Factor -2*t**4 + 16/9*t**2 + 8/9*t + 0 - 2/3*t**3.
-2*t*(t - 1)*(3*t + 2)**2/9
Let w be (-5616)/(-1368) - ((-2)/(-8) + (-22)/152). Let -2*s + 0 + 7/2*s**3 + 4*s**2 - 5/2*s**w = 0. What is s?
-1, 0, 2/5, 2
Let c = -230 - -222. Let y = 58/7 + c. Factor -4/7*z**2 + 8/7*z - y*z**3 + 16/7.
-2*(z - 2)*(z + 2)**2/7
Let i be 366/(-854) - 6/(-14). Let m(a) be the third derivative of 0 + 10*a**2 + 1/30*a**5 + i*a**4 + 0*a + 0*a**3. Factor m(x).
2*x**2
Factor -3*t + 11/4*t**2 + 1 - 3/4*t**3.
-(t - 2)*(t - 1)*(3*t - 2)/4
Let z = 131813/30 - 26197/6. Factor 40 + 2/5*u**4 + z*u**2 + 56*u + 28/5*u**3.
2*(u + 2)**2*(u + 5)**2/5
Let k(i) = i**2 + 3*i - 10. Let n be k(-4). Let u be 1 - 5 - 45/n. Factor u*t**2 - t**3 - 7/2*t**4 + 0 + t.
-t*(t - 1)*(t + 1)*(7*t + 2)/2
Let c(w) be the second derivative of -1/24*w**3 + 0*w**4 + 6*w - 1