e of 6*u**7/7 + 22*u**6/5 + 19*u**5/5 - 11*u**4 - 16*u**3 - 8*u**2 + 8*u. Let b(a) = 0. Calculate a.
-2, -1/3, 1
Suppose 0*n + 17 = 3*n + d, 5*n = 3*d + 5. Let v(r) be the first derivative of -2*r**3 + 4 - 7 - n*r + 5*r**2 + 7. Solve v(j) = 0 for j.
2/3, 1
Let z = 4 - 4. Let p(u) be the third derivative of 4*u**2 + z*u + 0*u**3 + 0 - 1/60*u**5 - 1/72*u**4. Factor p(f).
-f*(3*f + 1)/3
Let k be 14/(-44) + 26/52. Factor -2/11*o**3 + 2/11*o**4 + 2/11*o**5 - k*o**2 + 0 + 0*o.
2*o**2*(o - 1)*(o + 1)**2/11
Let g(a) be the second derivative of a**7/56 + a**6/40 - 3*a**5/80 - a**4/16 + 2*a. Factor g(b).
3*b**2*(b - 1)*(b + 1)**2/4
Suppose 4*o + 0*p - 12 = 5*p, -12 = -4*o + 3*p. Factor 0*z**2 - z**2 + z - z**3 - o*z**4 + 4*z**4.
z*(z - 1)**2*(z + 1)
Let s(d) be the second derivative of -d**4/30 + 22*d**3/15 - 121*d**2/5 - 27*d. Solve s(t) = 0.
11
Let a(i) be the second derivative of -7*i**5/15 + 3*i**4/2 - 4*i**3/3 - i**2/2 + 8*i. Let b(v) be the first derivative of a(v). Factor b(z).
-4*(z - 1)*(7*z - 2)
Let h(p) = 1 - 13 - 13 + 8 + 15*p**2 + 2*p. Let a(y) = -7*y**2 - y + 8. Let o(w) = -13*a(w) - 6*h(w). Let o(c) = 0. What is c?
-2, 1
Suppose 1/2*a**4 + 0*a**3 - 1/2*a**2 + 1/4*a + 0 - 1/4*a**5 = 0. What is a?
-1, 0, 1
Suppose -4*g + 12 = -0*g. Let o be (-1)/g*(-23 - -2). Suppose -h**3 + h**5 - 7*h + o*h = 0. What is h?
-1, 0, 1
Let k = -11 + 15. Let j be (-2)/k*(1 - 5). Factor 3*f - 1 - 3*f**2 + j*f**2 - f**2.
-(f - 1)*(2*f - 1)
Let k = -1688977/251 - -6729. Let i = 749/502 + k. Factor 0*l**3 - 3/4 - 3/4*l**4 + i*l**2 + 0*l.
-3*(l - 1)**2*(l + 1)**2/4
Let a = 130/3 + -43. Factor -1/3*s**2 + a + 0*s.
-(s - 1)*(s + 1)/3
Let g(s) be the first derivative of -4/15*s**2 + 0*s - 1/10*s**4 - 9 + 32/75*s**5 - 32/45*s**3 + 7/45*s**6. Solve g(h) = 0 for h.
-2, -1, -2/7, 0, 1
Solve 21/8*l**4 - 75/2 - 123/4*l**3 - 195/2*l + 873/8*l**2 = 0.
-2/7, 2, 5
Let l(c) be the second derivative of -3*c**4/14 + 3*c**3/7 - 2*c**2/7 + c. Factor l(k).
-2*(3*k - 2)*(3*k - 1)/7
Let q(d) be the second derivative of 3*d - 1/21*d**7 - 3/70*d**5 - 1/21*d**4 + 4/35*d**6 + 0*d**3 + 0 + 0*d**2. Factor q(g).
-2*g**2*(g - 1)**2*(7*g + 2)/7
Let s(x) = x**2 - 7*x + 8. Let b be s(6). Factor 3*c**3 + 6*c**2 - c**b - 3*c**2 - c**3.
2*c**2*(c + 1)
Let t(a) be the second derivative of -a**7/3780 - a**6/810 - a**5/540 + 5*a**4/12 + 8*a. Let b(p) be the third derivative of t(p). What is n in b(n) = 0?
-1, -1/3
Suppose 4*t - 2*o = 0, 5*t = 5*o - 3*o + 2. Let m be 27*(1 - (2 + -2)). Factor m*y**t + 4/3 - 12*y.
(9*y - 2)**2/3
Let c(a) be the second derivative of a**7/2520 - a**6/180 + a**5/30 + a**4/6 - 3*a. Let k(j) be the third derivative of c(j). Suppose k(p) = 0. What is p?
2
Let v(a) be the second derivative of a**6/10 + 9*a**5/20 + a**4/4 - 3*a**3/2 - 3*a**2 + 18*a. What is o in v(o) = 0?
-2, -1, 1
Let 96/17*l + 128/17 + 24/17*l**2 + 2/17*l**3 = 0. What is l?
-4
Suppose p + 3 = 5. Suppose 0*d**2 + 2*d + 0*d + 1 + d**p = 0. What is d?
-1
Suppose 0 = 5*g + 37 + 3. Let r = -5 - g. Find k, given that 0*k**4 + 0*k + 1/2*k**r + 0 - 1/2*k**5 + 0*k**2 = 0.
-1, 0, 1
Let c be (5/(-15))/((-3)/(-1 - -25)). Factor -c*j + 4/3*j**2 + 4/3.
4*(j - 1)**2/3
What is u in 5*u**2 - 9*u - 16*u + 92 - 48 - 74 = 0?
-1, 6
Factor 8*s**3 + 16*s**4 - s**4 - 3*s**4 - 36*s**2 + 16.
4*(s - 1)**2*(s + 2)*(3*s + 2)
Let -1/3*l**2 + 0 - l = 0. What is l?
-3, 0
Let s(g) be the first derivative of g**4/4 + 7*g**3/6 + 7*g**2/4 + g - 11. Factor s(u).
(u + 1)*(u + 2)*(2*u + 1)/2
Suppose 0 = 3*p + 4*b + 14, 3*b + 3 = 4*p - 20. Determine g, given that -4/5*g + 3/5 + 1/5*g**p = 0.
1, 3
Let b(d) = -d**3 - 6*d**2 - 3*d - 6. Let c be b(-6). Let m be (-1 + 0)/((-3)/c). Factor 1 + k**3 - 2*k**3 - k**m + k**5 - 1 + k**2.
k**2*(k - 1)**2*(k + 1)
Let x = 108 + -66. Let r = x - 42. Let 0*w + r*w**2 + 0 - 2/9*w**3 = 0. Calculate w.
0
Suppose -18 = 4*k - 34. Determine z so that 27*z**2 + 1/2*z**k + 81/2 + 6*z**3 + 54*z = 0.
-3
Factor -128/5 - 96/5*f - 2/5*f**3 - 24/5*f**2.
-2*(f + 4)**3/5
Let o(g) = -g**2 + 7*g - 5. Let j be o(5). Factor 5*r**4 + 0 + r**5 + 1 - 2*r**5 + 0*r**j - 10*r**3 + 10*r**2 - 5*r.
-(r - 1)**5
Let o be (1 + 1)/(102/18 + -5). Factor 2/5*n**2 - 2/5 + 2/5*n**o - 2/5*n.
2*(n - 1)*(n + 1)**2/5
Let l(k) = -6*k**3 + 70*k**2 - 197*k - 77. Let c(a) = -3*a**3 + 35*a**2 - 98*a - 38. Let m(s) = -5*c(s) + 2*l(s). Determine b, given that m(b) = 0.
-1/3, 6
Suppose -2*a = 3*a. Factor a*t**2 + 3*t**2 + t**3 + 5*t**3 - t**2.
2*t**2*(3*t + 1)
Suppose -4 = -8*y + 6*y. Let m(j) be the third derivative of 0 + 1/60*j**5 + 0*j**4 + 0*j + 0*j**3 + j**y. Factor m(i).
i**2
Let f(j) be the third derivative of -j**6/40 + 3*j**5/20 + j**4/2 + 11*j**2. Factor f(g).
-3*g*(g - 4)*(g + 1)
Let 0*b + 0 + 2/13*b**3 + 4/13*b**2 - 2/13*b**4 = 0. What is b?
-1, 0, 2
Let x = 1 + 1. Let v(s) = -2*s**2 - s + 6. Let i(a) = -a**2 - 2*a + 5. Let u(l) = x*v(l) - 3*i(l). Suppose u(b) = 0. Calculate b.
1, 3
Let n(s) be the first derivative of -2*s**5/75 - s**4/6 - 2*s**3/15 + 3*s**2/5 - 9. Let n(p) = 0. What is p?
-3, 0, 1
Let h(v) = 5*v**2 + 61*v - 59. Let m(r) = -2*r**2 - 30*r + 30. Let f(n) = 6*h(n) + 13*m(n). Factor f(q).
4*(q - 3)**2
Let j(a) be the first derivative of -a**4/2 + 2*a**3 - 3*a**2 + 2*a - 30. Factor j(h).
-2*(h - 1)**3
Let n(g) be the third derivative of -g**8/7 - 68*g**7/35 - 169*g**6/40 + 511*g**5/20 - 215*g**4/8 + 25*g**3/2 - 67*g**2. What is r in n(r) = 0?
-5, 1/4, 1
Let z(o) be the first derivative of 0*o**2 + 1/10*o**5 - 7/30*o**6 + 2*o + 1 - 1/3*o**3 + 7/12*o**4. Let m(v) be the first derivative of z(v). Factor m(q).
-q*(q - 1)*(q + 1)*(7*q - 2)
Let p(n) be the third derivative of -n**11/71280 + n**10/113400 + n**5/60 - 8*n**2. Let k(z) be the third derivative of p(z). Solve k(m) = 0.
0, 2/7
Suppose 0*j + j + 12 = 5*m, 3*m - 12 = 3*j. Let t be (j - -4)/(3/1). Suppose 10/3*k + 16/3*k**2 + 8/3*k**3 + t = 0. What is k?
-1, -1/2
Suppose 5*r - a - 62 = -3*a, 4*r + a = 49. Let -4*n**3 + r*n**2 - 3*n + 10*n**3 + 9*n**3 = 0. Calculate n.
-1, 0, 1/5
Let z(d) = -4*d**2 + 2. Let u(r) = r**3 + 2*r**2 + 4*r + 3. Let y be u(-2). Let f(x) = 9*x**2 + x - 5. Let g(q) = y*z(q) - 2*f(q). Factor g(j).
2*j*(j - 1)
Let w(o) = 21*o**4 + 12*o**3 - 3*o**2 - 3*o + 9. Let q(y) = 5*y**4 + 3*y**3 - y**2 - y + 2. Let i(k) = 9*q(k) - 2*w(k). Let i(x) = 0. Calculate x.
-1, 0, 1
Suppose 20 = -18*w + 22*w. Factor -13*i**2 + w*i**3 + 9*i**2 - 4 - 8*i**2 + 12*i - i**3.
4*(i - 1)**3
Suppose r + 5*z = -9, 0 = -3*r + 7*r - 2*z - 30. Let v = 8 - r. Factor -1/2*d + d**v + 0 - 1/2*d**3.
-d*(d - 1)**2/2
Let g be -7 + (7380/70)/9. Determine j so that 0 - 48/7*j**3 - g*j**2 - 6/7*j - 3*j**4 = 0.
-1, -2/7, 0
Let q(z) = 3 + 3*z**2 - 4*z**2 - 5 + 6*z. Let s be q(5). Determine v so that -v**s + 2*v + v - 2*v - v**2 + 1 = 0.
-1, 1
Let r be (-1 - 2 - -3) + 0. Let c be 0/(5 - (r - -3)). Find a, given that 1/5*a + c - 1/5*a**3 + 0*a**2 = 0.
-1, 0, 1
Let g(n) be the first derivative of -n**4/2 + 40*n**3/3 - 37*n**2 + 36*n - 9. Factor g(r).
-2*(r - 18)*(r - 1)**2
Let h(o) be the third derivative of o**9/30240 + o**8/10080 - o**5/30 - 4*o**2. Let a(i) be the third derivative of h(i). Suppose a(x) = 0. What is x?
-1, 0
Let o(g) = 4*g**3 - 5*g**2 + 11*g - 1. Let p(a) = -11*a**3 + 15*a**2 - 32*a + 4. Let s(q) = 8*o(q) + 3*p(q). Factor s(z).
-(z - 2)**2*(z - 1)
Let l(b) be the first derivative of 2*b**5/5 + 3*b**4/2 - 2*b**3/3 - 3*b**2 + 38. Factor l(a).
2*a*(a - 1)*(a + 1)*(a + 3)
Let l be 220/50 - (-6)/10. Let w(s) be the second derivative of 2*s + 0 + 1/30*s**4 + 0*s**2 + 1/50*s**l + 0*s**3. Factor w(u).
2*u**2*(u + 1)/5
Let n be 18/2*1 + 2. Factor 2*m + n + m**2 - 10 + 0*m.
(m + 1)**2
Suppose -4*h - h = -40. Suppose 0 = -0*f + 4*f - h. Suppose 2*b**2 - 2*b**2 + b**2 + 3*b + f + 0*b**2 = 0. Calculate b.
-2, -1
Let r be (16/6)/((-2)/(-3)). Let t(o) be the third derivative of o**2 + o**r + 3/35*o**7 + 0*o + 0 - 1/6*o**5 - 4/3*o**3 - 1/5*o**6. Factor t(n).
2*(n - 1)*(n + 1)*(3*n - 2)**2
Let y = 60508/5553 - 14/1851. Factor y*m**2 + 8/9 + 56/9*m.
2*(7*m + 2)**2/9
Let g(k) = k. Let x(t) = t**2 - 11*t + 10. Let v be x(10). Let i be g(v). Let 8/5*a**3 - 6/5*a + i*a**2 + 2/5 = 0. Calculate a.
-1, 1/2
Let w(h) be the first derivative of 1/4*h - 1/16*h**4 + 1/4*h**3 - 3/8*h**2 - 3. Factor w(k).
-(k - 1)**3/4
Sup