 Factor p(u).
-2*u**3*(u - 1)/3
Let t(f) = -f**3 - f. Let d(q) = 10*q**3 + 8*q**2 - 10*q. Let g(w) = -d(w) + 10*t(w). Suppose g(m) = 0. What is m?
-2/5, 0
Let p = -7/118 + 1909/354. Let r(j) be the first derivative of -p*j**2 + 1/15*j**5 + 2 + 8/3*j**3 + 16/3*j - 2/3*j**4. Factor r(d).
(d - 2)**4/3
Let c(w) = 6*w**4 - 4*w**2 - 8*w + 2. Let o(f) = 7*f**4 - f**3 - 5*f**2 - 9*f + 3. Let n(v) = v. Let r be n(-5). Let p(j) = r*c(j) + 4*o(j). Factor p(x).
-2*(x - 1)*(x + 1)**3
Suppose 0 = 4*q - 4*j - 12, -6*q + 5*j - 5 = -11*q. Factor -1/3*l**3 + 1/3*l + 0 + 0*l**q.
-l*(l - 1)*(l + 1)/3
Let w(d) = 3*d + 1 - 3 - d**2 - 6. Let o(l) = 2*l**2 - 7*l + 17. Let s(j) = -6*o(j) - 13*w(j). Solve s(x) = 0.
-2, -1
Solve 3/4*l - l**2 + 1/4*l**3 + 0 = 0.
0, 1, 3
Suppose -7*d + 32 = 11. Let p(q) be the second derivative of -1/7*q**2 - 1/42*q**4 + 2/21*q**d + 0 + q. Determine m so that p(m) = 0.
1
Let d = -115 + 43. Let c be d/(-33)*5/20. Factor 0 + c*v**3 - 6/11*v**2 - 2/11*v**4 + 2/11*v.
-2*v*(v - 1)**3/11
Let d(j) be the first derivative of -j**6/45 + j**5/30 + j**4/6 - j**3/9 - 2*j**2/3 + j - 1. Let g(q) be the first derivative of d(q). Solve g(y) = 0.
-1, 1, 2
Let f = -71/20 - -34/5. Suppose -3*h = 2*h - 10. Factor 4*d**3 + d**h + 0 + f*d**4 + 0*d + 3/4*d**5.
d**2*(d + 2)**2*(3*d + 1)/4
Let m be (-224)/(-24) + -1 + 3. Suppose -10/3*f - 2/3*f**2 + m*f**3 + 2/3 + 8*f**4 = 0. What is f?
-1, 1/4, 1/3
Suppose -56 = -2*c - 14. Let g = -3 + c. Solve 5*v + 14*v**4 + 7*v - 2*v + 4*v**4 + 4 - 14*v**2 - g*v**3 = 0.
-2/3, -1/3, 1
Suppose 3*d = -2*d. Suppose -u = -3*u + 3*o + 3, d = u + 4*o - 7. Find w, given that 0*w**u - 1 - 2*w**3 + w + w**3 + w**2 = 0.
-1, 1
Let j = -463 - -927/2. Find o such that -3/4*o**3 + 0 + 3/4*o**5 - j*o**2 + 1/2*o**4 + 0*o = 0.
-1, -2/3, 0, 1
Factor 2*g**2 - 10*g**3 + 21*g**3 - 9*g**3 - 4*g + 0*g**3.
2*g*(g - 1)*(g + 2)
Let y(i) be the second derivative of -i**4/72 - i**3/36 + 11*i. Suppose y(t) = 0. Calculate t.
-1, 0
Let r(v) be the third derivative of -1/144*v**4 + 1/180*v**5 + 0 + 0*v**3 - 4*v**2 - 1/720*v**6 + 0*v. What is n in r(n) = 0?
0, 1
Suppose 3*p = -3*f + 7*p + 8, -2*p = -f + 4. Factor 0*j**2 - 1 + 0*j + j**2 + f*j.
(j - 1)*(j + 1)
Let n(p) = -6*p**2 - 5*p + 1. Let q(u) = -3*u**2 - 2*u + 1. Let i = 6 - 13. Suppose 0 = 2*k - 3 - 5. Let t(f) = i*q(f) + k*n(f). Suppose t(d) = 0. What is d?
-1
Let c(v) be the second derivative of 3*v**5/100 + 3*v**4/20 - 6*v**2/5 - 7*v. Factor c(u).
3*(u - 1)*(u + 2)**2/5
Let q = 87 + -83. Let h(w) be the first derivative of 2*w - w**2 + q + 1/6*w**3. Factor h(y).
(y - 2)**2/2
Let w(k) = 2*k + 36. Let l be w(-18). Find p such that -1/3*p**4 + 2/3*p**2 + 0*p - 1/3 + l*p**3 = 0.
-1, 1
Factor -10*d - 4 + 11*d**3 - 4*d**2 + 2 - 2*d**2 + 7*d**3.
2*(d - 1)*(3*d + 1)**2
Let y(x) be the third derivative of x**8/2016 - x**7/1260 - 6*x**2. Solve y(z) = 0.
0, 1
Let w(s) be the first derivative of s**4/28 - s**3/21 - 18. Find v, given that w(v) = 0.
0, 1
Find j such that 10/7*j**3 - 2/7*j - 12/7*j**4 - 8/7*j**5 + 3/7*j**2 + 0 = 0.
-2, -1/2, 0, 1/2
Let b be ((-3)/33)/(1/(-2)). Factor -6/11*c**3 - 6/11*c**2 - b*c + 0 - 2/11*c**4.
-2*c*(c + 1)**3/11
Let a be (-1)/(6/(-21) - 0/(-1)). Factor 9/2*o**4 - 11/2*o**2 + a*o**3 + 1 - 7/2*o.
(o - 1)*(o + 1)**2*(9*o - 2)/2
Suppose -15*h = -12*h - 5*o - 14, 5*h - 3*o = 18. Let 3/2*d + 3/2*d**4 - 3/2*d**h - 3/2*d**2 + 0 = 0. Calculate d.
-1, 0, 1
Let b = -198/5 + 40. Factor 4/5*o + b + 2/5*o**2.
2*(o + 1)**2/5
Let q(s) = -5*s**3 - 3*s**2 + 9*s + 16. Suppose -l + 2*l + 18 = 0. Let o(z) = z**3 + z**2 - 2*z - 4. Let t(n) = l*o(n) - 4*q(n). What is j in t(j) = 0?
-1, 2
Let n be (-1)/((-3)/30) + 1. Factor 2*o**2 + 18 + n*o + o + 1 - 1.
2*(o + 3)**2
Suppose -4*l - l - 20 = 0. Let j be l/(-14) + (-12)/(-42). Suppose -2/7*b**2 - 2/7 - j*b = 0. Calculate b.
-1
Let j(v) = -2*v - 26. Let w be j(-15). Factor -2/9*r**2 - 2/9*r**w + 0 + 0*r - 4/9*r**3.
-2*r**2*(r + 1)**2/9
Let x(b) be the first derivative of -b**5/90 + b**4/54 + b**3/27 - b**2/9 + 5*b + 7. Let p(y) be the first derivative of x(y). What is o in p(o) = 0?
-1, 1
Let p(k) be the second derivative of -k**7/1680 - k**6/288 - k**5/120 - k**4/6 + k. Let i(a) be the third derivative of p(a). Factor i(v).
-(v + 1)*(3*v + 2)/2
Let q = 2797/299100 - 6/997. Let k(u) be the third derivative of u**2 + 1/30*u**3 + 0 + q*u**5 - 1/60*u**4 + 0*u. Factor k(z).
(z - 1)**2/5
Suppose 0 - 1/8*c**2 + 0*c + 1/8*c**4 - 1/8*c**3 + 1/8*c**5 = 0. What is c?
-1, 0, 1
Let x = 5 + -5. Factor -2*a**4 - a**2 + 2*a**2 - a + x*a + a**2 + a**5.
a*(a - 1)**3*(a + 1)
Factor 10*r**2 - 7*r**5 + 45*r**4 - 110*r**4 + 55*r**4 + 5*r + 2*r**5.
-5*r*(r - 1)*(r + 1)**3
Suppose 5*m + 5 = 4*i, -2*m = -0*i + 3*i - 21. Factor -4*z + 0*z**4 + 4*z**4 + i*z**3 - z**3 - 4*z**2.
4*z*(z - 1)*(z + 1)**2
Let b(u) be the third derivative of u**8/28 - u**7/70 - u**6/5 + u**5/10 + u**4/2 - u**3/2 - 7*u**2. Determine q, given that b(q) = 0.
-1, 1/4, 1
Let u(h) be the second derivative of -2*h**7/147 + 2*h**6/105 + 2*h**5/35 - 2*h**4/21 - 2*h**3/21 + 2*h**2/7 - 9*h. Solve u(y) = 0.
-1, 1
Let g be -3*6/(-9)*2/6. Solve 0*b**2 - 4/3*b + 4/3*b**3 - g*b**4 + 2/3 = 0 for b.
-1, 1
Find q, given that -35/2*q**4 - 160*q + 60*q**2 + 40 + 40*q**3 = 0.
-2, 2/7, 2
Factor -8/3*u**2 + 0 - 2*u - 2/3*u**3.
-2*u*(u + 1)*(u + 3)/3
Factor 0 + 0*z - 3/4*z**2 + 3/4*z**3.
3*z**2*(z - 1)/4
Suppose -6 = -4*c + 2*l - 0, -5*l + 3 = -4*c. Let r(j) be the second derivative of -1/15*j**6 + 2*j - j**4 - j**2 - 2/5*j**5 + 0 - 4/3*j**c. Factor r(b).
-2*(b + 1)**4
Let w(u) be the second derivative of -u**7/1260 - u**6/720 - u**4/6 + u. Let x(m) be the third derivative of w(m). Determine y, given that x(y) = 0.
-1/2, 0
What is w in 37/4*w**2 + 9 + 15*w + 1/4*w**4 + 5/2*w**3 = 0?
-3, -2
Suppose -2*d + 6 = d. Suppose -4 = -3*t + d. Factor -2/3*p**t + 0 + 2/3*p**3 + 0*p.
2*p**2*(p - 1)/3
Determine l so that -1 - 96*l + 33 + 8*l**2 + 34*l**2 - 5*l**3 = 0.
2/5, 4
Factor 5/3*j**2 - 2/3*j - 1.
(j - 1)*(5*j + 3)/3
Suppose 3*u = 6*u. Let k be (-1 - 1)/(14/(-2)). Find q such that -4/7*q - 2/7 + 4/7*q**3 + k*q**4 + u*q**2 = 0.
-1, 1
Let a(q) be the first derivative of -q**6/1260 - q**5/420 - 2*q**3/3 - 2. Let j(p) be the third derivative of a(p). Find i such that j(i) = 0.
-1, 0
Let n(g) be the third derivative of -g**8/840 + g**6/300 + 18*g**2. Factor n(h).
-2*h**3*(h - 1)*(h + 1)/5
Let g(t) = -6*t - 7. Let p be g(-2). Let i(m) be the third derivative of 1/15*m**p + 0*m**3 - 1/12*m**4 + 0 + 0*m - 4*m**2. Factor i(j).
2*j*(2*j - 1)
Let d be 52/(-16) + 1/4. Let j(a) = -4*a**3 + 2*a**2 - 2*a + 2. Let m(n) = -n**4 - 5*n**3 + 3*n**2 - 3*n + 3. Let f(x) = d*j(x) + 2*m(x). Factor f(t).
-2*t**3*(t - 1)
Let c be (6 - 1)/5 + 1. Let b(k) be the second derivative of -1/3*k**c + k + 0 + 1/36*k**4 + 1/18*k**3. Factor b(g).
(g - 1)*(g + 2)/3
Let b(j) = -j**2 - j + 2. Let f be b(0). Factor -f*u**4 - 2*u**3 + 4*u**4 - 3*u**5 + 2*u**4 + u**5.
-2*u**3*(u - 1)**2
Let q(t) = -t**2 + 3*t. Let i be q(2). Factor -4*u**2 + u**3 + 4*u**i.
u**3
Let m be 1*(-109)/(-2)*-2. Let r = m - -983/9. Factor -2/9*d**2 + 0*d + r.
-2*(d - 1)*(d + 1)/9
Factor -1/7*u**4 - 1/7 + 2/7*u**2 + 0*u + 0*u**3.
-(u - 1)**2*(u + 1)**2/7
Let b = -30 + 34. Let d(m) be the second derivative of 0 - 1/80*m**5 + 0*m**b + 0*m**2 + 0*m**3 - 3*m. Factor d(v).
-v**3/4
Let o(z) be the third derivative of z**8/84 + 4*z**7/35 + 13*z**6/30 + 4*z**5/5 + 2*z**4/3 + 9*z**2. Let o(h) = 0. What is h?
-2, -1, 0
Let s(k) = -2*k - 8. Let h be s(-5). Suppose 3*w + 2*w**4 - w**2 - 2*w - 5*w**h + 3*w = 0. Calculate w.
-2, 0, 1
Let g(y) be the first derivative of 1/9*y**3 + 1/36*y**6 - 1/30*y**5 - 1/6*y + 1/12*y**2 - 1/12*y**4 + 3. Find w, given that g(w) = 0.
-1, 1
Suppose -3*v = -0*v, -3*p - 4*v = 42. Let k be 2/p*8/(-4). Factor -4/7*j**3 + 0*j**2 + 4/7*j + 2/7 - k*j**4.
-2*(j - 1)*(j + 1)**3/7
Let w(l) = 4*l**3 - 13*l**2 + 4*l. Let h be 4/12 + 11/3. Let c(k) = -k**3 + 4*k**2 - k. Let m(v) = h*w(v) + 14*c(v). Factor m(f).
2*f*(f + 1)**2
Solve -52*g**2 - 4*g**3 - 12 - 8*g**3 + 16*g - 68*g = 0 for g.
-3, -1, -1/3
Let w(b) be the third derivative of 1/16*b**4 + 0*b**3 + 0 + 4*b**2 + 0*b + 1/120*b**5. Solve w(f) = 0 for f.
-3, 0
Let n = -5 - -11. Let f be ((-12)/n)/(-9 + 0). Find z such that 8/9*z**3 + f*z**2