1)/13
Let f(a) = a**3 - 1. Let i(o) = 4*o**3 + 32*o**2 + 22*o + 14. Let p(j) = -20*f(j) - 2*i(j). Suppose p(t) = 0. What is t?
-1, -2/7
Let l(c) be the third derivative of -c**9/30240 - c**8/3360 - c**7/1260 + c**5/12 - 3*c**2. Let f(u) be the third derivative of l(u). Solve f(p) = 0 for p.
-2, -1, 0
Suppose -2*t = 3*t + 115. Let z be 5/30 - t/6. Factor 0*k**3 - 2/3*k**z + 2/3*k**2 + 0 + 0*k.
-2*k**2*(k - 1)*(k + 1)/3
Let d = -1468/7 - -210. Factor -d*z**3 + 0*z + 0 - 2/7*z**2.
-2*z**2*(z + 1)/7
Factor -2*m**5 + 4*m**4 + 8*m**2 - 8*m**2 - 4*m**2 + 2*m.
-2*m*(m - 1)**3*(m + 1)
Let x(z) be the first derivative of z**2 - 1/6*z**6 + 0*z + 3/5*z**5 - 3 - 1/4*z**4 - z**3. Factor x(b).
-b*(b - 2)*(b - 1)**2*(b + 1)
Let 0 + 1/4*r**5 + 1/2*r**3 - 3/4*r**4 + 0*r**2 + 0*r = 0. Calculate r.
0, 1, 2
Factor -k**2 + 1/2*k + 1/2*k**3 + 0.
k*(k - 1)**2/2
Let k(p) = 2*p - 14. Let g be k(12). Let x(d) = d**2 - 4*d + 3. Let b(r) = 2*r**2 - 7*r + 5. Let m(t) = g*x(t) - 6*b(t). Suppose m(c) = 0. Calculate c.
0, 1
Let p(n) be the second derivative of n**3/6 - 6*n. Let k be p(2). Determine j so that 0 + 4/9*j + 2/9*j**k = 0.
-2, 0
Factor 0*y**3 - 3 - 3*y**3 + 9*y + 2 - 5.
-3*(y - 1)**2*(y + 2)
Suppose 0 - 2/3*b**3 + 2/3*b - 2/3*b**4 + 2/3*b**2 = 0. Calculate b.
-1, 0, 1
Let n = 4 + -4. Suppose n = -a + 4*h + 10, -5*h = -5*a - 4*h + 12. Factor -r**3 - r + a*r + 0*r.
-r*(r - 1)*(r + 1)
Let n(g) be the second derivative of -g**7/70 + 3*g**6/50 - 3*g**5/100 - 3*g**4/20 + g**3/5 - 9*g. Solve n(f) = 0 for f.
-1, 0, 1, 2
Suppose -28*q + 15 = -23*q. Factor -2/7*u**q - 2/7*u - 4/7*u**2 + 0.
-2*u*(u + 1)**2/7
Let u = -1 + 1. Let i(s) be the second derivative of -2*s + u*s**3 + 1/15*s**6 + 0 + 1/5*s**5 + 0*s**2 + 1/6*s**4. Solve i(f) = 0.
-1, 0
Let r(o) = o**4 + 6*o**2 - 2*o - 3. Let u(a) = 6*a**4 + a**3 + 35*a**2 - 11*a - 17. Let c(v) = 34*r(v) - 6*u(v). Solve c(h) = 0.
-1, 0
Let t be (-3 - 252/(-80)) + 0. Let m(d) be the third derivative of 0*d + 1/12*d**4 + t*d**6 + 0 + 0*d**3 - d**2 + 1/5*d**5 + 4/105*d**7. What is x in m(x) = 0?
-1, -1/4, 0
Determine j so that 44/17*j**3 + 6/17*j**4 + 18/17 + 84/17*j + 104/17*j**2 = 0.
-3, -1, -1/3
Let o be 1/(3 + (-316)/104). Let z be -1 - 0 - o/22. Let 0*j**2 - z*j**3 + 6/11*j + 4/11 = 0. What is j?
-1, 2
Let v = 134 - 131. Let q(s) be the first derivative of 0*s - 2/9*s**v - 1/6*s**4 - 2 + 2/3*s**2. Factor q(b).
-2*b*(b - 1)*(b + 2)/3
Let r(d) = -d**3 + 10*d**2 - 8. Let x be r(10). Let h(t) = t**3 + 9*t**2 + 7*t - 6. Let q be h(x). Solve 0*i + 0 + 1/2*i**q = 0.
0
Let b(h) be the first derivative of -h**6/180 - h**5/60 + 2*h**3/3 - 2. Let n(c) be the third derivative of b(c). Find d, given that n(d) = 0.
-1, 0
Let f(b) = -b**4 - b**2 + 1. Let h(i) = -4*i**5 + 16*i**4 - 4*i**3 + 8*i**2 - 8. Let x(q) = -8*f(q) - h(q). Determine y so that x(y) = 0.
0, 1
Let f(k) be the third derivative of -k**6/80 + k**5/40 + 5*k**2 - 2. What is x in f(x) = 0?
0, 1
Let w = -320 + 1283/4. Find l such that w*l**2 + 1/4*l**3 - 3/4 - 1/4*l = 0.
-3, -1, 1
Let q(h) be the third derivative of h**8/588 - 4*h**7/735 + 27*h**2. Factor q(c).
4*c**4*(c - 2)/7
Let 3 + 192*q + 625*q**2 - 676*q**3 + 13 - 157*q**2 = 0. What is q?
-2/13, 1
Factor -8/5 - 4/5*z**5 - 64/5*z**2 - 24/5*z**4 - 36/5*z - 56/5*z**3.
-4*(z + 1)**4*(z + 2)/5
Let x(i) = 14*i + 4. Let k be x(2). Let a be (162/k)/(3/4). Factor 3/4 + a*d**3 - 15/4*d + 9/4*d**2.
3*(d + 1)*(3*d - 1)**2/4
Let j(h) = -h**2 - 10*h - 7. Let m be 15/5 + -1 + -11. Let p be j(m). Let c - 4/5*c**p - 2/5 + 1/5*c**3 = 0. Calculate c.
1, 2
Factor 2/5 - 2/5*v**2 - 2/5*v + 2/5*v**3.
2*(v - 1)**2*(v + 1)/5
Let f(s) be the first derivative of -s**6/900 - s**5/50 - 3*s**4/20 + 5*s**3/3 + 3. Let w(o) be the third derivative of f(o). Factor w(g).
-2*(g + 3)**2/5
Let d(g) be the second derivative of 0 + g + 1/9*g**3 + 1/6*g**2 + 1/36*g**4. Factor d(a).
(a + 1)**2/3
Let l be (0 + 6)/((-12)/(-20)). Suppose -2*o - 3*o - l = 0, -4*h = -2*o - 16. Find r such that 1/2 - 5/4*r + r**2 - 1/4*r**h = 0.
1, 2
Let u(v) = -v**3 - v**2 + v. Let i be 5 + -2 - 1/(-1). Let t(n) = 3*n**3 + 4*n**2 - n + 2. Let q(w) = i*u(w) + t(w). Let q(k) = 0. Calculate k.
-1, 2
Let d(s) be the first derivative of -1 + 0*s**3 + 1/80*s**5 + 0*s**2 + s - 1/48*s**4. Let y(m) be the first derivative of d(m). Factor y(v).
v**2*(v - 1)/4
Suppose 3*c - 106 = 146. Let z be c/16 - 3/(-2). Determine s, given that -z*s**3 + 7*s + 27/4*s**4 - 2 - 9/2*s**2 = 0.
-1, 2/3
Let g = 48 + -44. Let t(m) be the second derivative of -1/6*m**g + 0*m**2 - 1/15*m**6 - 1/5*m**5 + 0*m**3 + 0 + 3*m. Suppose t(u) = 0. What is u?
-1, 0
Let f(k) be the third derivative of 0 + 0*k**4 - 1/240*k**5 - k**2 - 1/1440*k**6 + 0*k - 1/3*k**3. Let p(m) be the first derivative of f(m). Factor p(j).
-j*(j + 2)/4
Let w be ((-8)/28)/((-3)/7). Let u(t) be the third derivative of 0*t - 1/6*t**4 - 1/60*t**5 + 0 - w*t**3 + 3*t**2. Factor u(c).
-(c + 2)**2
Let x(p) = -p**3 + 5*p**2 - 4*p + 6. Let b be x(4). Let n = -1 + b. Suppose n*r**3 + 4*r**3 + 2*r - 10*r**2 - r**3 = 0. What is r?
0, 1/4, 1
Let k(c) = -2*c**2 - 12*c + 14. Let w(h) = 5*h**2 + 35*h - 40. Let j(t) = 11*k(t) + 4*w(t). Find f such that j(f) = 0.
1, 3
Let r(k) = -k**5 + k**2 - k. Let c(g) = -2*g**5 - 28*g**4 + 76*g**3 - 94*g**2 + 58*g - 16. Let m(w) = -c(w) + 6*r(w). Find d such that m(d) = 0.
1, 2
Let k be 2/(-3) + (-1749)/(-108). Let j = 63/4 - k. Factor j*t**4 + 0 + 0*t**3 - 2/9*t**2 + 0*t.
2*t**2*(t - 1)*(t + 1)/9
Let k(t) = -t**3 + 2*t**2 - 2*t + 4. Let h(b) = 2*b**3 - 5*b**2 + 5*b - 9. Let z(v) = 3*h(v) + 7*k(v). Suppose z(i) = 0. What is i?
-1, 1
Let h = -17 + 19. Let v(y) be the first derivative of 0*y - 9/5*y**5 - y**h + 3*y**3 + 1 - 5/4*y**4 + 7/6*y**6. Determine w, given that v(w) = 0.
-1, 0, 2/7, 1
Suppose -3*z + z + 6 = 0, -5*x = 5*z - 25. Let w(t) be the first derivative of 2/5*t**5 - 1/3*t**6 + 0*t**4 + 1 + 0*t**3 + 0*t + 0*t**x. Factor w(j).
-2*j**4*(j - 1)
Let d be (-16 - -17)/((-1)/(-7)). Suppose 0 = d*f - 4*f. Let f + 1/2*g**2 - 1/2*g**3 + 1/2*g - 1/2*g**4 = 0. Calculate g.
-1, 0, 1
Suppose 3*f = -3*q + 15, f = -0*f - 5*q + 9. Solve -2/5*y**f - 4/5*y + 2/5*y**2 + 0 + 4/5*y**3 = 0.
-1, 0, 1, 2
Let o(g) = 8*g**4 + 18*g**3 + 12*g**2 + 5*g - 3. Let v(w) = -65*w**4 - 145*w**3 - 95*w**2 - 40*w + 25. Let n(x) = -25*o(x) - 3*v(x). What is f in n(f) = 0?
-1, 0
Let q(s) = 22*s + 176. Let l be q(-8). What is f in 0*f - 1/4*f**3 + 0 + l*f**2 = 0?
0
Let r(s) be the second derivative of -4*s + 1/42*s**7 + 0 - 1/20*s**5 + 0*s**3 - 1/30*s**6 + 1/12*s**4 + 0*s**2. Let r(c) = 0. What is c?
-1, 0, 1
Let d = 71/63 + -17/63. What is m in 0*m**2 + 4/7 - d*m + 2/7*m**3 = 0?
-2, 1
Let l(u) be the first derivative of -9*u**5/10 - 3*u**4/4 + u**3/2 + 6. Factor l(y).
-3*y**2*(y + 1)*(3*y - 1)/2
Let d = -14 + 18. Let h be 1/(d*-1)*-1. Solve 3/2*r**2 + h*r**3 + 3*r + 2 = 0 for r.
-2
Suppose 4*x**3 + 3*x + 7*x**3 - 14*x**3 = 0. What is x?
-1, 0, 1
Determine w, given that -2 - 2*w**4 - 8*w**2 - 2*w**5 + w**2 + 15*w**2 - 4*w**2 - 2*w + 4*w**3 = 0.
-1, 1
Factor 4*g - 18*g**2 + 15*g**2 - 3 + 2*g.
-3*(g - 1)**2
Let f(h) = h**2 + 4*h + 1. Let a(k) = -k - 1. Let w(u) = -2*a(u) - 2*f(u). Factor w(g).
-2*g*(g + 3)
Let w(d) be the third derivative of -d**5/210 - d**4/14 - 3*d**3/7 + 35*d**2. Factor w(c).
-2*(c + 3)**2/7
Solve 0 - 1/8*o**3 - 1/8*o + 1/4*o**2 = 0 for o.
0, 1
Let s(x) be the second derivative of -x**6/360 - x**5/120 - x**3/6 - x. Let r(c) be the second derivative of s(c). Solve r(w) = 0 for w.
-1, 0
Factor 24/7*n + 3/7*n**2 + 48/7.
3*(n + 4)**2/7
Let c(u) be the second derivative of u**6/105 + u**5/14 + 3*u**4/14 + u**3/3 + 2*u**2/7 - 5*u. Find x, given that c(x) = 0.
-2, -1
Let x(d) be the first derivative of -1/12*d**4 + 1/3*d**3 + 1/3*d - 1/2*d**2 - 2. Factor x(q).
-(q - 1)**3/3
Let k(f) be the first derivative of 2 + 0*f**2 + 0*f - 2/21*f**3. Factor k(t).
-2*t**2/7
Let i(k) be the first derivative of -k**5/30 - k**4/12 + 2*k**3/3 + k**2 - 2. Let x(f) be the second derivative of i(f). Factor x(a).
-2*(a - 1)*(a + 2)
Let k(i) = -i + 7. Let t(u) = 3*u**2 + 2*u - 2. Let q be t(-2). Let m be k(q). Find j, given that j**2 + j**3 + 0*j**2 - 3*j - m + 2*j = 0.
-1, 1
Let y(x) = x**5 - x**4 - x**3 - x**2 + x. Let m(f) = 6*f**2 + 28*f**4 + 4*f**2 - 2*f**3 + 6*f**2 - 12*f