/(3 - (-33)/(-9)). Suppose -12 = -4*v + v. Factor -1/2*p**v + 2 + 1/2*p**2 - 5/2*p**b + 4*p + 1/2*p**5.
(p - 2)**2*(p + 1)**3/2
Let j(w) be the third derivative of -3*w**8/112 - w**7/10 + w**5/5 - 30*w**2. Suppose j(i) = 0. What is i?
-2, -1, 0, 2/3
Let k = 24 - 24. Let i(c) be the second derivative of -1/14*c**4 + 2*c - 8/21*c**3 + 4/7*c**2 + 9/70*c**5 + k. Factor i(n).
2*(n + 1)*(3*n - 2)**2/7
Let h(y) = -2*y**3 + 6*y**2 - 8*y + 4. Let i(p) = 8*p**3 - 24*p**2 + 33*p - 17. Let u(a) = -9*h(a) - 2*i(a). Factor u(j).
2*(j - 1)**3
Let n(b) be the second derivative of 6*b**7/91 + 7*b**6/65 - b**5/13 - 10*b**4/39 - 8*b**3/39 - b**2/13 - 7*b. Solve n(u) = 0.
-1, -1/2, -1/3, 1
Let z(g) be the second derivative of -2/15*g**6 + 2*g**2 + 1/5*g**5 + 4/3*g**4 + 4*g - 1/21*g**7 + 0 + 7/3*g**3. Factor z(l).
-2*(l - 2)*(l + 1)**4
Determine g so that -1 + 1/2*g + 1/2*g**2 = 0.
-2, 1
Let l(i) be the first derivative of -i**4/14 + 6*i**3/7 - 27*i**2/7 + 54*i/7 + 12. Factor l(y).
-2*(y - 3)**3/7
Let r = 99/2 + -49. Determine s, given that 1/4*s**3 - 1/4 - 1/4*s - r*s**4 + 3/4*s**2 = 0.
-1, -1/2, 1
Let m(j) = 4*j**5 + 6*j**4 - 7*j**2 - 3*j - 3. Let w(k) = -17*k**5 - 25*k**4 + 29*k**2 + 13*k + 13. Let b(i) = 26*m(i) + 6*w(i). Factor b(r).
2*r**2*(r - 1)*(r + 2)**2
Let b(t) be the first derivative of -t**6/36 + 3*t**5/10 - 5*t**4/8 - 25*t**3/18 - 15. Factor b(j).
-j**2*(j - 5)**2*(j + 1)/6
Let n(p) be the second derivative of 0*p**3 + 0 - p**2 - p - 1/240*p**5 + 1/96*p**4. Let i(a) be the first derivative of n(a). Factor i(f).
-f*(f - 1)/4
Suppose 4 + 2 = 3*o. Factor 13*y**3 + 12*y**4 + 6*y**o - y + 8*y**3 - 2*y.
3*y*(y + 1)**2*(4*y - 1)
Solve 2*v**2 + 17*v + 288 + 36*v + 20*v - 25*v = 0 for v.
-12
Let u = 15 + -27/2. Factor k**5 + 0 + u*k**4 + 0*k**3 + 0*k - 1/2*k**2.
k**2*(k + 1)**2*(2*k - 1)/2
Let j = -6 + 6. Factor -a**5 - 2*a**3 - 8*a**4 - a**5 + 4*a**4 + j*a**3.
-2*a**3*(a + 1)**2
Let r(c) be the second derivative of -c**5/110 + 2*c**4/33 - 4*c**3/33 - 6*c. Factor r(b).
-2*b*(b - 2)**2/11
Let g(h) be the first derivative of -4 + 4/7*h**2 - 2/21*h**3 - 8/7*h. Let g(r) = 0. What is r?
2
Suppose 32*b = 38*b. Let m(u) be the first derivative of -1/9*u**3 + b*u + 1/3*u**2 - 1. Factor m(t).
-t*(t - 2)/3
Factor 11 + 9*x + 11 - 28 - 9*x**3 + 6*x**2.
-3*(x - 1)*(x + 1)*(3*x - 2)
Let y(v) be the second derivative of -v**7/840 - v**6/360 + v**5/120 + v**4/24 + v**3/3 + 2*v. Let k(p) be the second derivative of y(p). Solve k(w) = 0 for w.
-1, 1
Let a(w) = -9*w**2 + 8. Let g(v) be the first derivative of 3 + v + 0*v**2 - 1/3*v**3. Let x(b) = -3*a(b) + 24*g(b). Suppose x(z) = 0. Calculate z.
0
Let n(g) be the third derivative of -1/210*g**5 - 6*g**2 + 1/210*g**6 + 0*g + 0 - 1/42*g**4 + 1/735*g**7 + 0*g**3. Let n(m) = 0. What is m?
-2, -1, 0, 1
Let u(z) = -z**4 + 5*z**3 + 5*z**2 - z - 4. Let s(r) = -3*r**3 - r**3 - 4*r**2 + 3 + 5*r + r**4 - 4*r. Let i(t) = 4*s(t) + 3*u(t). Factor i(w).
w*(w - 1)**2*(w + 1)
Solve 0 + 4/3*j**2 - 16/3*j = 0 for j.
0, 4
Let o = -111/4 - -28. Solve 7/4*k**3 - o*k**4 - 2 + 5*k - 9/2*k**2 = 0.
1, 2
Suppose -2*f - 14 = -0*z - 3*z, -2*f - 2 = 3*z. What is v in 2 + 4 + 2 - 6*v + z*v**2 - 4 = 0?
1, 2
Let g(u) be the second derivative of -u**6/45 + 3*u**5/20 - 11*u**4/36 + 2*u**2/3 - 28*u - 1. Suppose g(s) = 0. Calculate s.
-1/2, 1, 2
Let q(h) = 4*h**2 - 6*h**2 - 2*h**3 - h - 7*h**2 - 3. Let c(v) = -2*v**3 - 8*v**2 - 2*v - 2. Let s(r) = 6*c(r) - 4*q(r). Solve s(l) = 0.
-2, -1, 0
Let l(d) = d**4 + 3*d**3 - 5*d**2 + 3*d + 4. Let r(u) = 3*u**4 + 8*u**3 - 14*u**2 + 9*u + 11. Let w(q) = -17*l(q) + 6*r(q). Determine m so that w(m) = 0.
-1, 1, 2
Let s(f) be the second derivative of -1/33*f**4 + 0*f**2 - 1/33*f**3 + f - 1/110*f**5 + 0. Factor s(b).
-2*b*(b + 1)**2/11
Let k(b) be the third derivative of b**7/210 + b**6/120 - b**5/60 - b**4/24 + b**2. Factor k(y).
y*(y - 1)*(y + 1)**2
Factor -4/7*k + 10/7*k**2 + 0.
2*k*(5*k - 2)/7
Factor 96*b + 59*b**2 - 105*b**3 - 90 + 18 + 7*b**3 + 11*b**2.
-2*(b + 1)*(7*b - 6)**2
Suppose 9*p = 7*p + 18. Suppose 0 = -b - 3*q - p, 3*b - 2*q - 3 = -q. Factor -w**4 + b*w**3 + 0 + 1/2*w + w**2 - 1/2*w**5.
-w*(w - 1)*(w + 1)**3/2
Let w(p) be the first derivative of p**5/20 - p**4/4 + p**3/2 - p**2/2 + p/4 - 12. Factor w(v).
(v - 1)**4/4
Let b(f) be the third derivative of -f**11/1164240 + f**9/105840 - f**7/17640 + f**5/20 - f**2. Let x(i) be the third derivative of b(i). Factor x(t).
-2*t*(t - 1)**2*(t + 1)**2/7
Let q = 2 + -2. Suppose 2*f + c = -0*c + 14, -3*c = 4*f - 32. Factor 2*s**5 + q*s**5 - 4*s**3 - 3*s**f + 5*s**3.
-s**3*(s - 1)*(s + 1)
Let p be (-4)/10*(-1)/1. Let f = -3/20 + p. Suppose -3/4*i**4 + 1/4 + 1/2*i**2 - 1/2*i**3 - f*i**5 + 3/4*i = 0. What is i?
-1, 1
Let c(q) = -2*q**3 - 2*q**2 + 12*q - 12. Let y(i) = -i - i + i + 2 - 1. Let d(w) = -c(w) - 12*y(w). What is g in d(g) = 0?
-1, 0
Let r(j) = -2*j**2 + j - 1. Let q be r(1). Let h(u) = -u**2 - u. Let n(a) = -2*a**2 - 2*a. Let x(m) = q*n(m) + 5*h(m). Factor x(k).
-k*(k + 1)
Suppose k = -k. Suppose -5*q + 2*s + 10 = -k*q, -2*s = 10. Factor -o**2 - 6*o**3 + q*o**3 + 5*o**3.
-o**2*(o + 1)
Let f(j) be the second derivative of 4*j**6/105 + 9*j**5/70 + j**4/7 + j**3/21 - j. Factor f(a).
2*a*(a + 1)**2*(4*a + 1)/7
Let m(t) = t + 2. Let w be m(3). Let d = 8 - w. Find q, given that -1/2*q + q**2 - 1/2*q**d + 0 = 0.
0, 1
Let g(j) be the third derivative of j**8/10080 - j**7/840 + j**5/15 + 4*j**2. Let d(o) be the third derivative of g(o). Factor d(m).
2*m*(m - 3)
Let t(o) = 4 - 2 - o**2 - 6 + 3. Let a(j) = 8*j**3 + 2*j**2 - 6*j. Let f(v) = a(v) + 2*t(v). Solve f(k) = 0 for k.
-1/2, 1
Suppose 3*r + 6 = 4*p, -4 + 0 = -2*r. Suppose -2*y + 6 = p*j, j = 3*j - 4*y - 4. What is m in 1/2*m**j - 1/4 + 0*m**3 + 0*m - 1/4*m**4 = 0?
-1, 1
Suppose -5*b = -7*b. Determine q so that 0*q**2 + b*q + 0 + 2/17*q**3 = 0.
0
Let j be (5/(-2))/((-1)/2). Let t(i) be the third derivative of 0 + 2/15*i**j - 2*i**2 + 1/3*i**3 + 0*i + 1/3*i**4. Factor t(a).
2*(2*a + 1)**2
Determine r so that 4*r**4 - 10*r**3 - 2*r**5 + r**4 - 7*r**5 + 14*r**5 = 0.
-2, 0, 1
Let a(b) = -b**4 + b**3 - b**2. Let l(h) = 4*h**4 + 4*h**2. Let n(i) = -8*a(i) - l(i). Solve n(r) = 0 for r.
0, 1
Let t = 4 - -1. Let k be (-4)/(-40)*t/2. Find z, given that 1/2*z - 1/4*z**2 - k = 0.
1
What is k in -1/6 + 1/3*k - 1/6*k**2 = 0?
1
Let t = 41 - 41. Let f(r) be the second derivative of 3/20*r**5 + 1/42*r**7 + 2*r + 1/10*r**6 + t*r**2 + 1/12*r**4 + 0 + 0*r**3. Factor f(b).
b**2*(b + 1)**3
Suppose 5*h - 9*h + 12 = 0. Let r(w) be the first derivative of -6/5*w**5 - 15/4*w**4 + 0*w**2 - h + 0*w - 2*w**3. Solve r(p) = 0 for p.
-2, -1/2, 0
Factor 3/5*g + 3/5*g**2 + 0.
3*g*(g + 1)/5
Let o(y) = y**4 + y**2 + y + 1. Let p(x) = 7*x**4 + 6*x**3 - 5*x**2 + 4*x + 4. Let m(f) = -4*o(f) + p(f). Factor m(j).
3*j**2*(j - 1)*(j + 3)
Let y(d) be the first derivative of -d**9/18144 - d**8/10080 + d**7/5040 + d**6/2160 + 2*d**3 + 1. Let k(v) be the third derivative of y(v). Factor k(o).
-o**2*(o - 1)*(o + 1)**2/6
Let x(s) be the second derivative of 25*s**4/8 + 27*s**3/4 + 3*s**2/2 + 14*s. Factor x(y).
3*(y + 1)*(25*y + 2)/2
Let j(g) be the second derivative of 4*g**6/75 - 9*g**5/50 + g**4/15 - 9*g. Factor j(o).
2*o**2*(o - 2)*(4*o - 1)/5
Suppose 4*p + 5*v + 9 = -11, -4*p + v = 20. Let n(l) = -l**3 - 5*l**2 - 2*l - 6. Let h be n(p). Find r such that -h + 4 - 3 + 5 - 2*r**4 - 4*r**3 + 4*r = 0.
-1, 1
Let j = -29 - -29. Let -1/4*f + 1/4*f**2 + j = 0. Calculate f.
0, 1
Let s(f) be the first derivative of -f**3/12 + 3*f**2/2 + 13*f/4 + 24. Determine k so that s(k) = 0.
-1, 13
Let u(i) = i**3 - 6*i**2 + 4*i + 5. Let d be u(5). Let s(n) be the third derivative of 0*n**3 + d + 1/40*n**5 + 0*n + 1/16*n**4 - n**2. Factor s(g).
3*g*(g + 1)/2
Let r be -13 + 10 - 51/30*-2. Determine c so that -4/5 - 2/5*c**4 - r*c**3 + 6/5*c**2 + 2/5*c = 0.
-2, -1, 1
Let a(b) be the first derivative of b**4/10 - b**2/5 + 7. Determine k so that a(k) = 0.
-1, 0, 1
Let n = -7093/7 + 1015. Factor 6/7*k**4 - 2/7 + n*k**2 + 0*k - 16/7*k**3.
2*(k - 1)**3*(3*k + 1)/7
Find r such that 2/7*r**4 - 32/7*r - 32/7 + 8/7*r**3 + 0*r**2 = 0.
-2, 2
Let n(t) be the second derivative of -t**4/16 - t**3/4 + 25*t. Let n(b) = 0. What is b?
-2, 0
Let b(x) = 2*x - 78*x**2 + 35*x**2 + 42*x**2 + x + 4. Let z(a) 