 - 2)*(q + 1)/7
Factor -11*b**2 + 9 - 2*b**3 - 30*b + 47*b**2 - 16*b**3 + 3*b**4 + 0*b**4.
3*(b - 3)*(b - 1)**3
Suppose 0 = -j + 4*j - 6. Let 9*p**3 + 5*p**2 + 7*p**2 + 5*p - 2 - 3*p**j + 7*p**2 = 0. Calculate p.
-1, 2/9
Let n(x) = x**2 - x + 5. Let c(b) = 4*b**2 + 2*b - 14. Let k(i) = -i**2 + 1. Let s(m) = -c(m) - 6*k(m). Let w(f) = -8*n(f) + 5*s(f). Solve w(z) = 0.
0, 1
Let h be (-2)/80*(1 + -3). Let d(w) be the third derivative of 0 + 0*w + 1/300*w**6 + h*w**4 - 1/50*w**5 - 1/15*w**3 + 2*w**2. Determine v, given that d(v) = 0.
1
Let 0*n**3 + 0*n**3 + n**3 + 2*n**2 - 3*n**2 = 0. Calculate n.
0, 1
Let c(s) be the second derivative of -s**5/90 + 5*s**4/54 - 8*s**3/27 + 4*s**2/9 + 8*s. Factor c(a).
-2*(a - 2)**2*(a - 1)/9
Let f(s) = s**3 - 9*s**2 + 7*s + 7. Let o be f(8). Let g be o/((-2)/(-10))*-1. Factor -1 - 2*z**2 - 6*z - g + 2.
-2*(z + 1)*(z + 2)
Let i(y) be the second derivative of y**6/1440 + y**5/480 - y**4/48 + y**3/2 - 2*y. Let n(z) be the second derivative of i(z). Factor n(d).
(d - 1)*(d + 2)/4
Let g(f) be the second derivative of -f**5/50 - f**4/15 - f**3/15 + 5*f. Factor g(d).
-2*d*(d + 1)**2/5
Let b(v) be the third derivative of -v**8/14 + 11*v**7/35 - 21*v**6/40 + 2*v**5/5 - v**4/8 + 15*v**2. Determine t, given that b(t) = 0.
0, 1/4, 1/2, 1
Let r = 3/41 - -111/164. Suppose -r*g**5 + 3/4 - 3/2*g**3 + 9/4*g - 9/4*g**4 + 3/2*g**2 = 0. What is g?
-1, 1
Let h = 27/4 - 6. Let 3/4 - h*u**2 + 0*u = 0. What is u?
-1, 1
Let p(c) be the third derivative of c**6/600 - c**5/300 - c**4/120 + c**3/30 - c**2. What is s in p(s) = 0?
-1, 1
Let p be 5/15 - 63/(-135). Let -8/5*r**3 + 16/5*r**4 - 4*r**2 - 2/5*r + p + 2*r**5 = 0. What is r?
-1, 2/5, 1
Let f(a) = -6*a**3 - 13*a**2 - 18*a - 6. Let g(y) = 9*y**3 + 20*y**2 + 27*y + 9. Let p(n) = 7*f(n) + 5*g(n). Find r such that p(r) = 0.
-1
Let f = 8 + -8. Let k(c) be the third derivative of 0*c - 2*c**2 + 1/84*c**4 - 1/210*c**5 + 2/21*c**3 + f. Factor k(i).
-2*(i - 2)*(i + 1)/7
Let k = 10199/171 + -236/19. Let t = k + -47. Factor 0 - 2/9*m**2 - t*m.
-2*m*(m + 1)/9
Let n be 2/(-9) - (-20)/9. Let -5*s - 2*s**4 + 0*s + s**2 + 3*s + n*s**3 + s**2 = 0. Calculate s.
-1, 0, 1
Let u = 64/105 + 2/35. What is x in -u*x**5 + 0*x + 0 + 2/3*x**3 + 0*x**2 + 0*x**4 = 0?
-1, 0, 1
Let u be (-10)/2 + 2 - -3. Let 0 - 1/2*q**3 - 1/4*q**2 - 1/4*q**4 + u*q = 0. What is q?
-1, 0
Let h = 55/102 - 2/51. Determine x, given that -5/2*x**3 + 0 - 2*x**4 - x**2 + 0*x - h*x**5 = 0.
-2, -1, 0
Let f(v) be the first derivative of v**6/12 + 3*v**5/10 - v**4/8 - 7*v**3/6 + 2*v - 12. Determine u so that f(u) = 0.
-2, -1, 1
Let q = -23 + 25. Let b(g) be the second derivative of 0*g**3 + 0 + 0*g**q + 0*g**5 - 1/60*g**4 + g + 1/150*g**6. Find n such that b(n) = 0.
-1, 0, 1
Let v(i) be the first derivative of -4*i**5/35 - i**4/7 + 4*i**3/7 + 10*i**2/7 + 8*i/7 - 5. Factor v(k).
-4*(k - 2)*(k + 1)**3/7
Let 2 + 12*v - 4*v**3 + 8 + 5 - 7 = 0. Calculate v.
-1, 2
Suppose 4*u - d - 46 = 0, -d + 16 + 4 = 2*u. Suppose -4 = -5*b + u. Factor 14/3*i + 4/3 - 4/3*i**2 - 14/3*i**b.
-2*(i - 1)*(i + 1)*(7*i + 2)/3
Let o(m) = -m**2 - 6*m - 4. Let f be o(-2). Find y, given that 60/7*y**3 - 50/7*y**f - 6/7*y**2 + 0 - 4/7*y = 0.
-1/5, 0, 2/5, 1
Let z(q) = -4*q + 1. Let j be z(-1). Let t(y) = -y**2 + 6*y - 1. Let d be t(j). Factor -s**2 - d*s**4 - s**3 + 4*s**4 + s + s**4.
s*(s - 1)**2*(s + 1)
Let v(y) = -9*y**3 + 6*y**2 - 6*y - 3. Let w(h) = h**4 + h**2 + h + 1. Suppose -2*a + 4*z = -7*a + 11, -3*z = -5*a + 18. Let i(n) = a*w(n) + v(n). Factor i(c).
3*c*(c - 1)**3
Let a(h) = 81*h**3 - 15*h**2 - 81*h + 81. Let l(s) = -5*s**3 + s**2 + 5*s - 5. Let j(d) = -2*a(d) - 33*l(d). Let j(n) = 0. What is n?
-1, 1
Let y be (-2*(14/(-8) - -2))/(-1). Let 0 + y*f**2 + 1/2*f = 0. Calculate f.
-1, 0
Let d(c) be the first derivative of -22*c**3 + 16*c**2 + 8*c + 5. Factor d(k).
-2*(3*k - 2)*(11*k + 2)
Let s(d) be the first derivative of 99*d**4/4 + 38*d**3 + 9*d**2/2 - 6*d - 2. Suppose s(h) = 0. What is h?
-1, -1/3, 2/11
Factor -84*r - 61 - 201 - 130 - 3*r**2 - 196.
-3*(r + 14)**2
Let c(i) be the third derivative of i**5/12 - 5*i**4/6 + 10*i**3/3 + 11*i**2. Factor c(p).
5*(p - 2)**2
Suppose 3*y + 40 = 4*z + 61, -4*z = 4*y. Factor 3*f**4 + 48 - 24*f**2 - 12*f**y + 24*f + 3/2*f**5.
3*(f - 2)**2*(f + 2)**3/2
Find c such that 4 + 15*c**2 + 7/2*c**3 + 18*c = 0.
-2, -2/7
Let -3/4*w**3 - 3/8 + 3/4*w**2 + 3/8*w**5 - 3/8*w**4 + 3/8*w = 0. What is w?
-1, 1
Find w such that 449*w**2 + 16 + 16*w - 48 - 451*w**2 = 0.
4
Suppose -i - i = -5*t + 28, -i - 12 = -2*t. Find z such that -8*z**t - 3*z + 5*z**3 - 4*z**2 + z + 12*z**2 - 3*z**3 = 0.
-1, 0, 1/4, 1
Suppose 0*c = -5*c + 20. Suppose 0 = -c*v + 5*l + 3, -4*v - l = -0*v - 9. Find m, given that 6*m + 2*m**3 - 4 + 6*m**v + 1 + 1 + 4 = 0.
-1
Let j(x) be the second derivative of -x**6/30 + x**4/3 + 41*x. Let j(d) = 0. Calculate d.
-2, 0, 2
Let y(i) be the first derivative of 2*i**6/3 - 8*i**5/5 + 8*i**3/3 - 2*i**2 - 4. Suppose y(q) = 0. What is q?
-1, 0, 1
Find b such that -5/6*b + b**2 - 1/6*b**3 + 0 = 0.
0, 1, 5
Let z be -1 - -3 - 0 - 3. Let k be -3*1*z/15. Factor k*s**2 - 1/5 + 0*s.
(s - 1)*(s + 1)/5
Let h(d) be the second derivative of -d**4/28 - 12*d**3/7 - 216*d**2/7 + 8*d. Solve h(p) = 0 for p.
-12
Let y(x) = 9*x**2 - 5*x - 1. Let t(j) be the third derivative of j**5/6 - j**4/4 - 4*j**2. Let a(u) = 3*t(u) - 4*y(u). Factor a(b).
-2*(b - 1)*(3*b + 2)
Let a be (4 + -1)*134/201. Find o such that -6/7*o - 6/7*o**a - 2/7*o**3 - 2/7 = 0.
-1
Let r(z) = -4*z**3 + 2*z**2 + 4*z - 2. Suppose -10 - 8 = 3*a. Let b(c) = 17*c**3 - 9*c**2 - 17*c + 9. Let y(p) = a*b(p) - 26*r(p). Factor y(s).
2*(s - 1)*(s + 1)**2
Let d(u) be the first derivative of 5*u**6/6 - u**5 - 35*u**4/4 + 5*u**3/3 + 15*u**2 + 1. Let d(n) = 0. Calculate n.
-2, -1, 0, 1, 3
Let g(a) be the first derivative of -3/4*a**2 - 5 + 0*a + 1/2*a**3. Factor g(m).
3*m*(m - 1)/2
Determine v so that v**3 - 102 + 102 - 4*v = 0.
-2, 0, 2
Suppose -2*x + 26 = 3*p, 0 = -4*p + x + 2*x + 63. Suppose 4*l = -3*m - 0*m + p, 4*l - 12 = 0. Factor 1/5*c**3 + 0 - 1/5*c**2 + m*c.
c**2*(c - 1)/5
Suppose 6*r - r + 11 = 2*j, -4 = -2*j - 2*r. Let l(k) be the first derivative of -2/15*k**j + 2/5*k + 0*k**2 - 2. Factor l(u).
-2*(u - 1)*(u + 1)/5
Let p be 546/882 + 2/3. Suppose -2/7*g - p*g**2 + 0 + 11/7*g**3 = 0. What is g?
-2/11, 0, 1
Let s be 30/8 - (-1)/4. Suppose -10 + s = -b. Factor q**5 + 0 + 0 - b*q**5 - 2*q**4.
-q**4*(5*q + 2)
Factor -3*i + 0*i**2 + 3/2*i**4 + 3*i**3 - 3/2.
3*(i - 1)*(i + 1)**3/2
Let u(v) = -9*v**2 + 3*v**3 - 2*v**3 + 4*v**3 - 4*v**3 + 2 + 8*v. Let h be u(8). Factor -4/3*l + 1/3*l**h + 4/3.
(l - 2)**2/3
Let f be (1/(-3))/((-2)/12). Factor 2/5*q**f + 12/5*q + 18/5.
2*(q + 3)**2/5
Let p(z) = 2*z + 19. Let w be p(-8). Factor -1/3*o**4 - 1/3*o**2 + 0 + 0*o + 2/3*o**w.
-o**2*(o - 1)**2/3
Let s be (-7)/(3/2 - 2). Suppose 0 = -z + 3 + s. Let -z + j**2 - 3*j + 11 + 3*j**3 + 5*j**2 = 0. What is j?
-2, -1, 1
Let r(m) = m**3 + 2*m**2 + 1. Let x be r(-2). Let q(p) = p**3 - p**2 + p. Let l(v) = 5*v**3 - 7*v**2 + 6*v. Let u(t) = x*l(t) - 6*q(t). Factor u(o).
-o**2*(o + 1)
Factor -1 + 3 + 2 + 3*z - 3*z**2 + 2.
-3*(z - 2)*(z + 1)
Let h(v) = 12*v**4 - 66*v**3 + 27*v**2. Let w(d) = -d**4 + 5*d**3 - 2*d**2. Let s(c) = -2*h(c) - 27*w(c). Determine x so that s(x) = 0.
0, 1
Let i(p) be the third derivative of -p**8/336 - p**7/42 - 3*p**6/40 - 7*p**5/60 - p**4/12 - 6*p**2. Factor i(o).
-o*(o + 1)**3*(o + 2)
Let u(q) be the second derivative of -q**6/480 + q**4/96 + q**2/2 + q. Let t(h) be the first derivative of u(h). Factor t(f).
-f*(f - 1)*(f + 1)/4
Let o(q) be the third derivative of q**6/180 + q**5/3 + 25*q**4/3 + 1000*q**3/9 + 38*q**2. Solve o(m) = 0 for m.
-10
Suppose 27 = 6*k - 3. Let s(h) be the third derivative of 0*h + 2*h**2 + 0 + 1/60*h**6 + 0*h**3 + 1/12*h**4 - 1/15*h**k. Factor s(f).
2*f*(f - 1)**2
Let s = 53/117 + -3/13. Determine n, given that s*n**2 - 4/9*n + 2/9 = 0.
1
Let u(k) be the first derivative of k**4/12 - k**3/3 + 3*k - 1. Let o(m) be the first derivative of u(m). Factor o(f).
f*(f - 2)
Let a = 376/21 - 116/7. Let h(p) be the second derivative of 3*p - 3/10*p**6 - a*p**3 - 1/2*p**2 - 6/5*p**5 + 0 - 11/6*p**4. Let h(r) = 0. What is r?
-1, -1/3
Let d(b) be the second derivative of 4*b**7/7 + 