48 + c**3/6 + c**2/2 - 5*c. Factor m(p).
(p + 2)**2/4
Let r(q) be the second derivative of q**6/225 - q**5/75 - q**4/90 + 2*q**3/45 + 25*q. Factor r(y).
2*y*(y - 2)*(y - 1)*(y + 1)/15
Suppose -3*k + 5*k - 4 = 0. Let r be (-2 - 1) + (k - -5). Factor -2*v**2 - 2*v**3 - 3*v**4 - 2*v**r + 6*v**3 + 3*v**4.
-2*v**2*(v - 1)**2
Let g(f) = f**2 + 11. Let x be g(8). Let u be x/42 + (-2)/7. Factor 3/2*v + u*v**2 + 1/2*v**3 + 1/2.
(v + 1)**3/2
Let 1/4*p**3 + 0 + 0*p - 1/4*p**2 = 0. Calculate p.
0, 1
Let h be (-84)/15 + 5 + -1 + 2. Let -h*z + 3/5*z**2 + 0 = 0. What is z?
0, 2/3
Let f = -15 - -18. What is w in f*w**2 - 10 - 6*w**2 + 13 + 0*w**2 = 0?
-1, 1
Let o(q) = -4*q**2 - 5*q + 2. Let f(b) = -b - 1. Let k be f(-3). Let z(m) = 0 - m + 1 + 0*m**2 - m**k. Let h(w) = -o(w) + 3*z(w). Factor h(r).
(r + 1)**2
Let f(x) be the first derivative of 2*x**5/25 + 2*x**4/5 + 8*x**3/15 + 15. Find j such that f(j) = 0.
-2, 0
Let w = -41/2 - -21. Factor 0*b - w*b**2 + 0 - 1/2*b**3.
-b**2*(b + 1)/2
Let u(n) = 4*n**2 + 8*n. Let d(z) = z. Let c(j) = -5*d(j) + u(j). Let c(t) = 0. What is t?
-3/4, 0
Suppose 0*t - 7 = -2*t - c, 5*c + 31 = t. Factor 2*a**3 + t*a**4 - 11*a**4 + 7*a**4.
2*a**3*(a + 1)
Suppose 0*x = 4*x. Let q = x + 4. Factor -14*l**5 + 2*l**2 - 2*l**2 - 4*l**q.
-2*l**4*(7*l + 2)
Let y be -7 - -7 - 1*-4. Let p be 5/(-2)*(-6)/10. Factor 1/2*n**y + 3/2*n**2 + 0 - p*n**3 - 1/2*n.
n*(n - 1)**3/2
Determine k so that 1/2*k**3 + 1/4*k**2 + 0*k + 0 = 0.
-1/2, 0
Let b(t) be the third derivative of t**7/1365 + t**6/195 - t**5/195 - t**4/13 + 3*t**3/13 + 16*t**2. Factor b(n).
2*(n - 1)**2*(n + 3)**2/13
Let y(c) be the second derivative of 3*c - 1/24*c**4 + 1/80*c**5 - 1/24*c**3 + 0 + 1/4*c**2. Factor y(i).
(i - 2)*(i - 1)*(i + 1)/4
Suppose -1 = x + 2. Let r = x + 6. Suppose r - 5 - 4*z + z**2 + 3*z = 0. What is z?
-1, 2
Let z = -3 + -2. Let u(v) = 3*v**2 + 9*v. Let h(g) = 2*g**2 + 8*g. Let w(k) = z*u(k) + 6*h(k). Factor w(f).
-3*f*(f - 1)
Let g(w) = -w - 1. Let b(y) = -3*y + 2. Let i(v) = b(v) - 2*g(v). Let k be i(0). What is o in -o**4 + 3*o**4 + 5*o**k - 5*o**4 = 0?
0
Determine i, given that 1/3*i**2 + 0 - 2/3*i = 0.
0, 2
Let v = -2/1479 + 4445/5916. Factor 9/4*j**2 + 0*j - 3/2*j**3 - v.
-3*(j - 1)**2*(2*j + 1)/4
Factor 3*i + 10*i**2 - 10*i**2 + 0*i - 3*i**3.
-3*i*(i - 1)*(i + 1)
Let c(j) = 4*j**2 - 4*j - 3. Let f(x) = -3*x**2 + 3*x + 2. Let q = 8 - 11. Let v be (-4)/(-2) - (-4)/(-1). Let m(r) = q*f(r) + v*c(r). Factor m(u).
u*(u - 1)
Let a(v) be the second derivative of -v**5/90 + v**4/12 - 2*v**3/9 - 3*v**2/2 + 3*v. Let d(h) be the first derivative of a(h). Factor d(z).
-2*(z - 2)*(z - 1)/3
Let b = -18 - -12. Let n(w) = 2*w**3 - w**2 - w + 5. Let v(j) = j**3 - j**2 + 3. Let d(u) = b*n(u) + 10*v(u). Solve d(a) = 0 for a.
-3, 0, 1
Let i(a) = 3*a**2 + a. Let y be i(-1). Suppose 0 = -2*v - v. Factor 2/3*l + 1/3*l**y + v.
l*(l + 2)/3
Let u(n) = -n**2 - 16*n + 11. Let r be u(-14). Suppose 8 - r*h**4 + 36*h**3 - 24 - 12*h**2 - h**4 + 104*h**2 = 0. Calculate h.
-1, -1/2, 2/5, 2
Let h = 33/68 + -4/17. Let a be (5/2 + -4)*9/(-54). Factor a*j**2 + h*j - 1/2.
(j - 1)*(j + 2)/4
Let m(q) = -2 + 0*q + 2 - 7 + 2*q. Let w be m(5). Factor 0*p - 2/11*p**w - 2/11*p**2 + 0.
-2*p**2*(p + 1)/11
Suppose z = 1, n = -4*n + 3*z + 7. Let s be (-3)/1 - (-1 - n). Factor -1/4*a - 1/4*a**2 + s.
-a*(a + 1)/4
Let l(v) = -v**3 - 9*v**2 - 4*v - 2. Let a(m) = -9*m**2 - 3*m - 3. Let k(q) = -2*a(q) + 3*l(q). What is d in k(d) = 0?
-2, -1, 0
Let t(h) be the second derivative of -1/6*h**3 + 0 - 2*h - 1/20*h**5 + 1/6*h**4 + 0*h**2. Solve t(b) = 0.
0, 1
Let k(j) be the third derivative of j**6/60 - j**5/45 - 5*j**4/36 + 4*j**3/9 + 71*j**2. Factor k(u).
2*(u - 1)**2*(3*u + 4)/3
Suppose 5*g - 25 + 0 = 0. Suppose -1 = 2*f - g. Factor 0*n**4 - 3*n**3 - n - 3*n**4 + f*n**4 - 3*n**2 + 0*n**4.
-n*(n + 1)**3
Let j(y) be the third derivative of y**5/300 - 7*y**4/120 - 4*y**3/15 + 71*y**2. Let j(m) = 0. Calculate m.
-1, 8
Let b be (4 - 3)*4 + -1. Let -3*c**3 - b*c**4 - 4*c**3 + 6*c**3 + 3 + 7*c**3 - 6*c = 0. Calculate c.
-1, 1
Let d(i) be the second derivative of -i**4/18 + 4*i**3/9 - i**2 + 2*i. Determine o so that d(o) = 0.
1, 3
Let l(i) = -9*i**5 + 9*i**4 + 3*i**3 + 3. Let z(v) = -17*v**5 + 18*v**4 + 5*v**3 - v**2 + 5. Let m(w) = -5*l(w) + 3*z(w). Determine c, given that m(c) = 0.
-1/2, 0, 1
Factor -7/4*j**4 + 2*j**2 + 0*j + 0 + 13/2*j**3.
-j**2*(j - 4)*(7*j + 2)/4
Let l(y) be the second derivative of y**6/240 + y**5/160 - y**4/16 - 26*y. Suppose l(i) = 0. Calculate i.
-3, 0, 2
Let y(n) be the third derivative of 1/24*n**4 + n**2 + 0*n**5 - 1/120*n**6 + 0*n + 0 + 0*n**3. Suppose y(d) = 0. Calculate d.
-1, 0, 1
Let u(t) be the first derivative of 2*t**4 - 1/3*t**6 - 3 + 4/3*t**3 - 4*t + 0*t**5 - 3*t**2. Suppose u(r) = 0. What is r?
-1, 1, 2
Factor 0*p + 3/2*p**2 + 0.
3*p**2/2
Let 8/7*q**3 - 32/7*q**4 + 4*q**2 + 2*q**5 + 4/7 - 22/7*q = 0. What is q?
-1, 2/7, 1
Let k be (-8)/(2/(-1)) - 4. Let n(f) be the third derivative of 0*f**3 + 2*f**2 + k*f**5 - 1/480*f**6 + 0*f + 0 + 1/96*f**4. What is h in n(h) = 0?
-1, 0, 1
Let g(d) be the second derivative of d**4/24 - d**2/4 - 4*d. Factor g(s).
(s - 1)*(s + 1)/2
Let c(u) be the first derivative of 3*u**5/25 - 2*u**3/5 + 3*u/5 - 5. What is d in c(d) = 0?
-1, 1
Let q be (0 + 2)/((-2)/(-2)). Find v such that 4*v**q - 2*v + 4*v - 2*v**4 + 3*v**4 - 2*v**5 - 5*v**4 = 0.
-1, 0, 1
Suppose 0 = -o + 5 - 3. Find p, given that -8 + p**2 + 0*p**2 + 0*p**2 + 3*p**o + 4*p = 0.
-2, 1
Let f = 96 + -93. Let k(r) be the first derivative of 3/2*r**2 - 2 - 3/4*r**4 + 0*r**f + 0*r. Solve k(z) = 0.
-1, 0, 1
Let m(b) be the second derivative of -b**7/42 + b**5/5 - b**4/6 - b**3/2 + b**2 + 15*b. Factor m(l).
-(l - 1)**3*(l + 1)*(l + 2)
Let g(t) be the third derivative of 1/540*t**6 + 0*t**4 + 0*t - 2*t**2 - 1/189*t**7 + 0*t**3 + 1/756*t**8 + 0 + 1/135*t**5. Find f such that g(f) = 0.
-1/2, 0, 1, 2
Let q(p) be the second derivative of p**6/90 - p**5/20 + p**4/12 - p**3/18 + 12*p. Find c, given that q(c) = 0.
0, 1
Let p = 2/41 - -158/123. Suppose p - 2/3*f**2 - 2/3*f = 0. Calculate f.
-2, 1
Let z(u) = 7*u**2 + 9*u + 5. Let b(c) be the first derivative of -c**3/3 - c**2/2 - c - 1. Let o(m) = -5*b(m) - z(m). Factor o(t).
-2*t*(t + 2)
Let t = 12 + -22. Let z be 7/((-21)/t) - 2. Factor 0 + z*a**2 + 0*a + 2/3*a**3 - 2*a**4.
-2*a**2*(a - 1)*(3*a + 2)/3
Suppose 2*u + 14 = -u - 5*n, 0 = -4*u + 4*n + 24. Let g(v) = -v**3 + 5*v**2 + 5. Let z be g(5). Solve u*l**z - 2*l**4 - 6 + 6 = 0 for l.
0, 1
Suppose 9*y = 7*y + 14. Suppose 0 = y*k - 10*k + 6. Determine i, given that -3*i**2 - 1/2 - 2*i - k*i**3 - 1/2*i**4 = 0.
-1
Let s(t) = -18*t**2 - 9*t + 5. Let p(z) be the first derivative of -3*z**3 - 5*z**2/2 + 3*z - 4. Let a(r) = -5*p(r) + 3*s(r). Let a(o) = 0. Calculate o.
-2/9, 0
Factor 0*w + 0 + 2/7*w**5 + 0*w**3 + 0*w**2 + 0*w**4.
2*w**5/7
Let n(l) = l**2 + 3*l - 3. Let y(p) = -p**2. Let g(w) = n(w) + 5*y(w). Let v(a) = 5*a**2 - 3*a + 4. Let q(u) = 6*g(u) + 5*v(u). Determine k so that q(k) = 0.
-2, -1
Let b(s) = s**2 - 3*s + 3. Let c be b(3). Solve 2*w - 5*w**2 + 2 + 3*w**2 - c*w - w + 2*w**3 = 0.
-1, 1
Let k(y) be the second derivative of y**6/120 + y**5/20 + y**4/8 - 5*y**3/6 - 4*y. Let d(v) be the second derivative of k(v). Let d(w) = 0. What is w?
-1
Let x be 8/5 + (-6)/(-3). Let w = x + -67/20. Suppose 1/4*y**3 + 0*y + w*y**2 + 0 = 0. Calculate y.
-1, 0
Determine j so that 0 - 1/3*j**2 - j**4 + 0*j + 1/3*j**5 + j**3 = 0.
0, 1
Let u be (-4)/(-14) + (-51)/7. Let z be -4 + 0 + (-63)/u. What is s in 2/9*s**z + 0*s + 0*s**2 + 2/9*s**3 + 0 - 4/9*s**4 = 0?
0, 1
Suppose -22 = 5*k + 3. Let r(f) = f + 10. Let w be r(k). Suppose 1/2*q**w + 1/2*q**4 - q**2 - q**3 + 1/2 + 1/2*q = 0. Calculate q.
-1, 1
Let u(f) = -f - 1. Let g(t) = -20*t**2 - 3*t + 2. Let a(n) = -g(n) - 2*u(n). Factor a(c).
5*c*(4*c + 1)
Let k = 11 - 9. Find r such that k*r**2 - 3*r**3 + 9*r**4 + 6*r - 6*r**2 - 3*r**5 - 5*r**2 = 0.
-1, 0, 1, 2
Let v be -3 - (0 + 4 + 3). Let a(o) = 4*o**3 - 22*o**2 + 10*o - 10. Let y(d) = d**3 - 7*d**2 + 3*d - 3. Let j(z) = v*y(z) + 3*a(z). Find u, given that j(u) = 0.
-2, 0
Suppose -2*a + 0*a = -6. Suppose a*r + 4*v - 10 = 0, -v + 10 = 4*r + v. Factor 13*j - 13*j - r*j**2.
-2*j**2
Let q be (36/(-24))/((-45)/24). Let 2/5 + 