et c(k) = -k - 11. Let r be c(-9). Let x be ((-10)/(-25))/(r/(-10)). Find f, given that -3 + 4*f**x + 1 - f**4 - f**4 = 0.
-1, 1
Factor 4/3*z - 2/3*z**2 - 2/3*z**3 + 0.
-2*z*(z - 1)*(z + 2)/3
Let p(o) be the second derivative of -o**6/4 - 21*o**5/20 - 3*o**4/2 - o**3/2 + 3*o**2/4 + 23*o. Suppose p(h) = 0. What is h?
-1, 1/5
Factor 3 - 15*d - 41*d**3 + 21*d**4 + 4 - 2 - 4*d**5 - 3 + 37*d**2.
-(d - 2)*(d - 1)**3*(4*d - 1)
Suppose 2*i = -3*i + 2*f + 10, 5*f = 0. Let w = 2/287 + 80/287. Find r such that 2/7 + 0*r - w*r**i = 0.
-1, 1
Let l = 194/5 - 38. Factor l*n + 0 + 2/5*n**2.
2*n*(n + 2)/5
Let l(i) be the second derivative of -7*i**9/11880 - i**8/528 + 13*i**7/3465 - i**6/495 - i**4/4 - i. Let v(h) be the third derivative of l(h). Factor v(t).
-2*t*(t + 2)*(7*t - 2)**2/11
Determine u, given that 13/3*u**2 + 20*u - 10/3*u**3 + 12 + 1/3*u**4 = 0.
-1, 6
Solve -64/3*z**2 + 104/9*z**3 + 128/9*z + 0 - 8/3*z**4 + 2/9*z**5 = 0.
0, 2, 4
Suppose -5/8*n**2 - 1/2 + 3/2*n = 0. Calculate n.
2/5, 2
Let k = -53 + 32. Let f be k/(-35)*(-20)/(-18). Factor 1/3*o**3 + 0 + 1/3*o + f*o**2.
o*(o + 1)**2/3
Let w = 4 + 1. Suppose -4*z + 15 = -i, -2*z - i - w = -4*z. Factor 11/5*c**4 - 2/5*c + 9/5*c**2 - 3*c**3 - 3/5*c**z + 0.
-c*(c - 1)**3*(3*c - 2)/5
Let k(b) be the third derivative of b**7/315 - b**6/18 + 5*b**5/18 + 3*b**2 - 5*b. Factor k(x).
2*x**2*(x - 5)**2/3
Factor -2/3*z**4 + 0*z**3 + 4/3*z + 0 + 2*z**2.
-2*z*(z - 2)*(z + 1)**2/3
Let b(q) be the third derivative of 0*q**3 + 1/32*q**4 + 0*q + 0*q**5 + 0 - 1/160*q**6 - 2*q**2. Determine k, given that b(k) = 0.
-1, 0, 1
Suppose -2*s = -s - 16. Determine m so that 16*m - 9*m**3 + 6*m**2 - s*m = 0.
0, 2/3
Let o(r) be the third derivative of -r**5/12 + 5*r**4/24 + 5*r**3/3 - 65*r**2. Factor o(l).
-5*(l - 2)*(l + 1)
Let z(m) be the second derivative of -m**5/90 - m**4/6 - m**3 - m**2 - m. Let d(u) be the first derivative of z(u). Determine f so that d(f) = 0.
-3
Let u(g) be the third derivative of -g**5/20 + 3*g**4/8 - 12*g**2. Solve u(m) = 0.
0, 3
Let j be (-26)/(-4)*(-80)/(-260). Find k such that -175/3*k**3 + 8/3 + 49/3*k**4 - 68/3*k + 62*k**j = 0.
2/7, 1, 2
Let c be (-11)/4 + -3 + 6. Factor j + 1/4 + 3/2*j**2 + j**3 + c*j**4.
(j + 1)**4/4
Let a(m) = 6*m + 123. Let d be a(-20). Factor -8/15*w**2 + 2/15*w + 0 + 2/15*w**5 - 8/15*w**4 + 4/5*w**d.
2*w*(w - 1)**4/15
Let x = -71 - -71. Let q(p) be the second derivative of 3/20*p**5 - 4*p + 0 + x*p**3 - 1/4*p**4 + 0*p**2. Let q(o) = 0. What is o?
0, 1
Let f(s) be the first derivative of s**4/16 - s**2/2 + 4. Factor f(w).
w*(w - 2)*(w + 2)/4
Let w be 24/(-9)*6/(-4). Suppose 0 = 2*i - w*y - 1 + 21, 0 = 4*i + 5*y - 25. What is s in i*s + 1/3*s**2 - 1/3 = 0?
-1, 1
Let n(f) be the third derivative of -f**6/120 - f**5/12 - f**4/8 + 3*f**3/2 - 8*f**2. Suppose n(q) = 0. What is q?
-3, 1
Let a be ((-2)/(-60))/(7 + 5). Let q(g) be the third derivative of -g**2 + 1/18*g**3 + 0 - 1/24*g**4 - a*g**6 + 1/60*g**5 + 0*g. Solve q(t) = 0.
1
Let m(a) = 3*a**3 - 3*a**2 - 6*a**5 + 7 - 7 + 3*a. Let r(t) = -t**5 - t**4 + t. Let g(w) = m(w) - 3*r(w). Factor g(f).
-3*f**2*(f - 1)**2*(f + 1)
Let x = -12 + 15. Determine j so that -8*j + 12*j**x + 10*j + 4*j + 27*j**2 = 0.
-2, -1/4, 0
Let w be ((-1)/2*2)/1. Let b be 1/4 + w/4. What is a in b + 1 + 6*a**2 + 3*a + a**3 - 3*a**2 = 0?
-1
Suppose -2*u + u + 2 = 0. Factor 1/3*t**u + 0 - 1/3*t.
t*(t - 1)/3
Let n(s) be the second derivative of -s**7/1260 + s**4/3 - 4*s. Let p(h) be the third derivative of n(h). Factor p(a).
-2*a**2
Let j(m) be the first derivative of -5*m**6/6 + 22*m**5/5 - 19*m**4/2 + 32*m**3/3 - 13*m**2/2 + 2*m + 5. Let j(d) = 0. Calculate d.
2/5, 1
Let i(r) be the second derivative of -r**5/30 + r**4/6 - r**3/3 + r**2/2 - 3*r. Let x(l) be the first derivative of i(l). Determine n, given that x(n) = 0.
1
Let r(x) = 11*x**5 - 11*x**4 - x**3 - 5*x**2 - 2*x. Let u(l) = 7*l**5 - 7*l**4 - l**3 - 3*l**2 - l. Let s(b) = -5*r(b) + 8*u(b). Factor s(o).
o*(o - 2)*(o - 1)*(o + 1)**2
Suppose -4*w = -4*y - 16, -5*y + y + 12 = 3*w. Let -2 + 6*g**w - 2*g**3 - 6*g + 6*g**3 + g**5 - 4*g**2 + g**5 = 0. What is g?
-1, 1
Factor 4*x**4 + 8*x**3 + 3*x**3 - 3*x**3 + 4*x**2.
4*x**2*(x + 1)**2
Suppose 5*n + 4*w = -1377 + 88, 3*n + 766 = 5*w. Let g = -1281/5 - n. Find z, given that -g*z - 2/5 - 2/5*z**2 = 0.
-1
Let r(j) = 3*j**2 + 17*j + 10. Let g be r(-5). Factor 0*s - 2/3*s**3 + g - 2/3*s**2.
-2*s**2*(s + 1)/3
Find m, given that -13/3*m + 5/3*m**2 + 1/3*m**3 + 7/3 = 0.
-7, 1
Suppose 5*g - 11 = 79. Let v be 4/g*(-3 - -6). Solve 4/3 + v*k**2 - 2*k = 0 for k.
1, 2
Let r be 4/(-14) - (-31)/35. Let b = -410 + 413. Find u, given that 0 - 6/5*u - 9/5*u**2 + r*u**4 + 0*u**b = 0.
-1, 0, 2
Solve -1/4*l**3 + 3/4*l + 1/2 + 0*l**2 = 0.
-1, 2
Suppose 9*k**3 + 3*k - 2*k**2 - 15*k**3 + 5*k**3 = 0. Calculate k.
-3, 0, 1
Find u such that -13*u**4 - 6*u**4 + 16*u**2 - 2*u**5 + 12*u**3 + 6*u + 19*u**4 = 0.
-1, 0, 3
Let p(u) be the second derivative of -u**7/12 - 23*u**6/60 - 13*u**5/40 + 19*u**4/24 + 5*u**3/3 + u**2 + 3*u - 2. Let p(f) = 0. What is f?
-2, -1, -2/7, 1
Let n = 17 - -2. Factor 2*h**4 + 8 - 5*h - 14*h**3 + 26*h**2 - n*h + 2*h**3.
2*(h - 2)**2*(h - 1)**2
Let v(w) = -w**2 + 4*w + 63. Let c be v(-6). Factor -2/7*g + 2/7*g**c + 2/7 - 2/7*g**2.
2*(g - 1)**2*(g + 1)/7
Let b(g) be the third derivative of 1/120*g**5 + 1/3*g**3 - 3*g**2 + 1/12*g**4 + 0*g + 0. Factor b(n).
(n + 2)**2/2
Suppose 2*z + 8 = 0, 2*j + j + 4*z + 16 = 0. Suppose 4*t - c - 15 = j, -3*t + c + 5 = -7. Find b, given that 2*b**t + 4*b - 2*b - 4*b**3 = 0.
-1, 0, 1
Let k(y) be the first derivative of -y**5/20 + y**4/2 - 4*y**3/3 + 6. What is d in k(d) = 0?
0, 4
Let t(j) = j**2 - 3*j - 2. Let y(p) = p**2 - 4*p - 3. Let m(w) = 3*t(w) - 2*y(w). Solve m(q) = 0 for q.
0, 1
Factor 2*p**2 + 2*p**2 + 0 - p**3 + 1 - 5*p + 1.
-(p - 2)*(p - 1)**2
Let f(c) be the second derivative of -1/30*c**4 - 1/5*c**2 - 2/15*c**3 + 0 + 2*c. Suppose f(j) = 0. What is j?
-1
Suppose -5*j - a = 3, -3*a + 8*a + 15 = 4*j. Find k, given that -3/2*k + 12*k**4 + j - 18*k**3 - 45/4*k**2 = 0.
-1/4, 0, 2
Suppose 12 = 2*b + 4*o, -5*b - 3*o = -b - 14. Factor -5*s + 2*s**b + s + 2 + 8*s.
2*(s + 1)**2
Let g(p) = 24*p**2 + 59*p + 16. Let x(c) = -c**2 - c + 1. Let y(t) = g(t) - 6*x(t). Factor y(l).
5*(l + 2)*(6*l + 1)
Let n(k) be the first derivative of k**5/15 - k**4/6 + k**3/9 - 18. Factor n(b).
b**2*(b - 1)**2/3
Let u(s) be the third derivative of s**10/151200 - s**8/20160 + s**5/60 - s**2. Let a(b) be the third derivative of u(b). Determine v, given that a(v) = 0.
-1, 0, 1
Factor -25/4*n**3 + 1/2 - 9/4*n**4 - 21/4*n**2 - 3/4*n.
-(n + 1)**3*(9*n - 2)/4
Solve -4/7*i**4 + 0 + 8/7*i**3 + 4/7*i**2 - 8/7*i = 0 for i.
-1, 0, 1, 2
Suppose -7*c**4 + 4*c**4 + 4*c**2 - 6*c**3 - 8*c**2 + c**4 = 0. Calculate c.
-2, -1, 0
Let z(n) be the second derivative of -n**5/40 + n**4/6 - 5*n**3/12 + n**2/2 + 10*n. Find a, given that z(a) = 0.
1, 2
Let i(x) be the first derivative of 2 + 1/6*x**4 + 0*x - 2/9*x**3 + 2/15*x**5 - 1/3*x**2. Factor i(l).
2*l*(l - 1)*(l + 1)**2/3
Let c(k) = k - 2. Let j(b) = -4*b + 7. Let d(i) = -8*c(i) - 3*j(i). Let g be d(4). Determine n, given that -g - 14*n + 6*n + 3 - 2*n**2 = 0.
-2
Let t(q) be the third derivative of 0*q - 1/20*q**4 + 2/15*q**3 - 5*q**2 + 0*q**5 + 1/300*q**6 + 0. Suppose t(n) = 0. What is n?
-2, 1
Suppose -6 = -2*r - r. Suppose 11*t - 27 = 2*t. Solve -3/4*s**t + 1/4*s + 0 + 1/4*s**r - 5/4*s**4 - 1/2*s**5 = 0 for s.
-1, 0, 1/2
Suppose 0 = 4*i - 5*u - 36, -i - 5*u - 24 = -2*i. Let f(g) be the third derivative of 0*g + 1/18*g**i + 1/90*g**5 + 1/9*g**3 + 3*g**2 + 0. Factor f(h).
2*(h + 1)**2/3
Determine o so that -6/17*o**2 + 0 - 4/17*o + 0*o**3 + 2/17*o**4 = 0.
-1, 0, 2
Let i(n) = 3*n**4 - 5*n**3 - n**2 + n + 2. Let a(r) = 3*r**4 - 6*r**3 + 3. Let l(s) = 2*a(s) - 3*i(s). What is f in l(f) = 0?
-1, 0, 1
Let q be ((-4)/9)/(3*(-30)/81). Factor -q*c**3 - 8/5*c**2 - 2*c - 4/5.
-2*(c + 1)**2*(c + 2)/5
Let p(u) = -51*u**4 + 275*u**3 + 150*u**2 - 146*u + 26. Let h(t) = -103*t**4 + 551*t**3 + 300*t**2 - 291*t + 53. Let i(y) = 2*h(y) - 5*p(y). Factor i(o).
(o - 6)*(o + 1)*(7*o - 2)**2
Let q(d) be the first derivative of d**5/80 + d**4/24 + 3*d - 4. Let s(p) be the first derivative of q(p). Factor s(u).
u**2*(u + 2)/4
Let a be 0 - 