+ 8*q**3 + 2 + 109/6*q**4 + 0*q. Factor m(b).
2*b*(b + 1)**2*(7*b + 2)**2/3
Suppose -4*i + 18 + 0 = w, -w + 2*i = 0. Let p be 3 + (3 + w)/(-3). Factor 1/3*t**4 + p*t**3 + 0*t + 0 - 1/3*t**2.
t**2*(t - 1)*(t + 1)/3
Let v(d) be the first derivative of -1 + 1/3*d**3 + 1/12*d**4 + 3*d + 1/2*d**2. Let s(a) be the first derivative of v(a). Find b, given that s(b) = 0.
-1
What is o in 3*o**4 - 6*o + 3*o - 32*o**2 + 29*o**2 + 3*o**3 = 0?
-1, 0, 1
Let d(q) be the first derivative of 7*q**3 - 39*q**2 - 24*q - 48. Find m such that d(m) = 0.
-2/7, 4
Let o = 44 + -218/5. Let x = 417/5 + -83. Factor 0*p**3 + 1/5*p**5 + 0 + o*p**4 - x*p**2 - 1/5*p.
p*(p - 1)*(p + 1)**3/5
Find s such that -36*s**4 + 106*s**2 - 96*s + 7 + 9 - 76*s**3 + 14*s**5 + 14*s**5 + 58*s**2 = 0.
-2, 2/7, 1
Let u = 20/17 + -89/119. Let d = u + 1/14. Find i, given that 0 + d*i**2 + 0*i - i**3 + 1/2*i**4 = 0.
0, 1
Suppose 29*w = 38*w. Factor -2/7*g**2 + 0*g + w.
-2*g**2/7
Let i(a) = 9*a + 3. Let t be i(3). Suppose 5*j = -5*m + t, 20 = 2*j + 3*j. Factor -4*x**3 - 2*x**4 - 5*x**2 + 0*x**4 + 3*x**m.
-2*x**2*(x + 1)**2
Let j be (-1)/(-9)*300/112. Let c = j + -1/21. Factor 3/4*l**3 - 1/4*l**2 - c*l**4 - 3/4*l + 1/2.
-(l - 2)*(l - 1)**2*(l + 1)/4
Let s(k) be the third derivative of k**6/24 - k**5/60 + k**3/6 + k**2. Let g be s(1). Let -1 - 21*m**2 - g - 16*m + 2 - 9*m**3 = 0. Calculate m.
-1, -2/3
What is v in 0 + 3*v**2 - 3/5*v**3 - 12/5*v = 0?
0, 1, 4
Let j be 18/9*2/((-4)/(-3)). Solve -2/13*r - 2/13*r**2 + 0 + 2/13*r**4 + 2/13*r**j = 0.
-1, 0, 1
Let g = 1018 - 1016. Let 0 - 6/5*m - 2/5*m**g = 0. Calculate m.
-3, 0
Let y(x) be the first derivative of 5*x**6/21 - 36*x**5/35 + 11*x**4/7 - 16*x**3/21 - 3*x**2/7 + 4*x/7 - 4. What is q in y(q) = 0?
-2/5, 1
Let a(h) = 5*h**5 + 6*h**4 - 15*h**3 + 4*h**2 - 6*h + 6. Let y(g) = -g**4 + g**2 + g - 1. Let u(d) = -a(d) - 6*y(d). Find x, given that u(x) = 0.
-2, 0, 1
Let -8*w - 24*w**3 - 16*w**4 + 13*w - 3*w**5 + 11*w + 0*w = 0. Calculate w.
-2, 0, 2/3
Suppose r - 16 = -r + 2*d, 3*r + 16 = -5*d. Let t be (3 + -21)/(-3) - r. Suppose -3 + 3 + 3*q + t*q**2 + 0*q = 0. Calculate q.
-1, 0
Determine o, given that -10/9*o**2 - 2/3 + 16/9*o = 0.
3/5, 1
Factor 7*t**2 - t - 3*t**2 + 5*t.
4*t*(t + 1)
Let p = 25 - 25. Let v = p + 1/4. Factor v*a**2 - 1/4*a - 1/2.
(a - 2)*(a + 1)/4
Let s(l) = -l**2 + 10*l - 21. Let x be s(7). Let a(y) be the third derivative of -1/120*y**5 - y**2 + 1/48*y**4 + x*y + 0*y**3 + 0. Factor a(r).
-r*(r - 1)/2
What is i in 8/21 + 2/21*i**2 - 8/21*i = 0?
2
Factor 1/2*j**5 - 5/2*j**3 + 4*j - 2 - 1/2*j**2 + 1/2*j**4.
(j - 1)**3*(j + 2)**2/2
Let p be ((-33)/35 + 1)/(7/35). Let -p - 2/7*b**2 - 4/7*b = 0. What is b?
-1
Suppose 4 = 5*l - 3*l. Factor l*u + 0*u**2 - 4*u**2 + 3*u**2.
-u*(u - 2)
Let s(k) be the second derivative of 25*k**6/39 + 20*k**5/13 + 15*k**4/13 + 16*k**3/39 + k**2/13 - 9*k. Let s(v) = 0. Calculate v.
-1, -1/5
Let r(q) = -10*q**2 - 25*q - 10. Let x(k) = -k**2 - k + 1. Let p(n) = -r(n) + 5*x(n). Find g, given that p(g) = 0.
-3, -1
Suppose -6*q + 12 = -2*q. Suppose 3 = -v + 5. Suppose 4 + 0*a**q - a**3 + 10*a + 3*a**3 + 8*a**v = 0. Calculate a.
-2, -1
Let c(y) = -y**2 + 7*y. Let r(z) = -z**2 + 6*z. Let t(d) = -5*c(d) + 6*r(d). Factor t(k).
-k*(k - 1)
Let u be -1*(-21 + 0)/(-1). Let d = u - -85/4. Factor d*x**2 + 0 + 0*x.
x**2/4
Suppose 5*x + m + 6 + 7 = 0, -2*m + 1 = x. Let h be 2 + (2 - 2)/x. Find r such that -2*r**4 + 8*r**2 - 8*r**h = 0.
0
Let z be 10 + -6 + 3 + -3. Let m be 3*z/(-24)*-4. Solve 0*x - 3/4*x**m + 1 + 1/4*x**3 = 0.
-1, 2
Let t(x) be the first derivative of x**8/224 + x**7/70 - x**5/20 - x**4/16 - 3*x**2/2 - 3. Let r(n) be the second derivative of t(n). Factor r(k).
3*k*(k - 1)*(k + 1)**3/2
Let n(c) be the first derivative of -c**7/5460 - c**6/2340 + c**5/780 + c**4/156 - 5*c**3/3 + 1. Let q(i) be the third derivative of n(i). Factor q(z).
-2*(z - 1)*(z + 1)**2/13
Let q = -98/17 - -839/119. Suppose 3/7*a**4 + q*a**2 + 0 - 9/7*a**3 - 3/7*a = 0. Calculate a.
0, 1
Let p(g) = 11*g**2 + g. Let c be p(1). Let d = c - 10. Let -1/5*b**5 + 2/5*b**3 + 1/5 - 1/5*b + 1/5*b**4 - 2/5*b**d = 0. What is b?
-1, 1
Let d(f) = -4*f**2 - 49*f + 44. Let q(z) = z**2 + 12*z - 11. Let g(x) = 2*d(x) + 9*q(x). Factor g(o).
(o - 1)*(o + 11)
Factor 0 + k**4 + 1/5*k**5 + 4/5*k**2 + 0*k + 8/5*k**3.
k**2*(k + 1)*(k + 2)**2/5
Let j be (-2)/(-12) + -17*(-5)/30. Let a(p) be the first derivative of 3/2*p**2 + 2*p - 1/4*p**4 - 2 + 0*p**j. Solve a(k) = 0.
-1, 2
Let d(y) = -4*y**4 + 12*y**2 + 8*y - 5. Let u(t) = 12*t**4 - 36*t**2 - 24*t + 14. Let g(m) = -5*m + 4. Let j be g(-2). Let a(v) = j*d(v) + 5*u(v). Factor a(n).
4*n*(n - 2)*(n + 1)**2
Factor -2/5*d**2 - 2/5 - 4/5*d.
-2*(d + 1)**2/5
Let z(k) be the third derivative of -k**8/588 + k**6/70 + 2*k**5/105 + 4*k**2. Factor z(s).
-4*s**2*(s - 2)*(s + 1)**2/7
Factor -10/3*m**3 + 0 - 4/3*m + 14/3*m**2.
-2*m*(m - 1)*(5*m - 2)/3
Find y, given that -114*y**2 - 10*y - 28*y + 26*y**4 - 36*y**3 - 9 - 22*y + y**4 = 0.
-1, -1/3, 3
Let o(l) be the second derivative of l**8/13440 - l**7/2520 + l**4/2 + 10*l. Let g(d) be the third derivative of o(d). Factor g(s).
s**2*(s - 2)/2
Let j = -251/6 + 253/6. Determine u, given that j*u - 1/3*u**2 + 0 = 0.
0, 1
Let n(i) be the third derivative of -i**5/150 + 10*i**2. Determine b so that n(b) = 0.
0
Let m(g) be the second derivative of -g**6/24 - 17*g**5/80 - 7*g**4/16 - 11*g**3/24 - g**2/4 + 8*g. Factor m(q).
-(q + 1)**3*(5*q + 2)/4
Let b(w) be the second derivative of -w**7/14 + w**6/10 + 9*w**5/10 + w**4/2 - 5*w**3/2 - 9*w**2/2 + 16*w. Solve b(s) = 0.
-1, 1, 3
Let h(f) be the second derivative of f**6/180 + f**3/3 + 3*f. Let i(z) be the second derivative of h(z). Factor i(y).
2*y**2
Let 3*s - s**3 + 4*s**3 + 0*s - 6*s**3 = 0. Calculate s.
-1, 0, 1
Let u(h) be the first derivative of -2*h**5/5 - h**4/4 + h**3 + h**2/2 - h - 9. Factor u(s).
-(s - 1)*(s + 1)**2*(2*s - 1)
Let j(i) = -i - 9. Let h(v) = v - 4. Let m be h(-7). Let r be j(m). Factor 0 - 2/7*x - 4/7*x**r - 2/7*x**3.
-2*x*(x + 1)**2/7
Factor 128 + 110*f**3 + 512*f + 22*f**3 + 71*f**3 + 20*f**4 - 15*f**3 + 552*f**2.
4*(f + 1)*(f + 4)**2*(5*f + 2)
Let k(h) be the second derivative of -4/3*h**3 + 0*h**2 - 1/5*h**5 - 7*h + 0 - h**4. Factor k(i).
-4*i*(i + 1)*(i + 2)
Let c(g) be the third derivative of -1/420*g**6 + 3*g**2 + 1/84*g**4 + 0*g + 2/21*g**3 + 0 - 1/105*g**5. Solve c(t) = 0.
-2, -1, 1
Let i(y) be the first derivative of -y**6/36 - y**5/10 - y**4/12 + y**3/9 + y**2/4 + y/6 - 12. Factor i(p).
-(p - 1)*(p + 1)**4/6
Let x(g) be the second derivative of -3*g + 0*g**4 + 0*g**3 + 1/10*g**5 + 1/14*g**7 + 0 + 0*g**2 + 1/6*g**6. Solve x(a) = 0 for a.
-1, -2/3, 0
Let u(l) be the second derivative of -l**4/42 - l**3/21 + 6*l**2/7 + 7*l. Suppose u(d) = 0. Calculate d.
-3, 2
Let k(b) be the second derivative of 0 - 1/3*b**4 + 1/20*b**5 - 4*b + 2/3*b**3 + 0*b**2. Factor k(o).
o*(o - 2)**2
Let t(j) = -3*j**3 + 5*j**2 + 2*j + 2. Let g be (-8)/(-12)*(-15)/2. Let i(c) = 6*c**3 - 11*c**2 - 5*c - 5. Let w(h) = g*t(h) - 2*i(h). Factor w(k).
3*k**2*(k - 1)
Let m = -104/3 - -36. Suppose -m*g - 2/3 - 2/3*g**2 = 0. What is g?
-1
Let n(v) be the first derivative of 4*v**3/3 - 20*v**2 + 36*v - 19. Factor n(m).
4*(m - 9)*(m - 1)
Let y(l) = -9*l**2 - l + 9. Let f(z) = 10*z**2 - 10. Let a(v) = 5*f(v) + 6*y(v). Factor a(q).
-2*(q + 2)*(2*q - 1)
Let d(n) be the first derivative of 1/5*n**5 - 3 + 0*n - 1/3*n**3 + 0*n**4 + 1/4*n**2 - 1/12*n**6. Suppose d(o) = 0. What is o?
-1, 0, 1
Let n be 14 + -9 + 1*(-9 + 4). Let -2/5*i**3 + 0 + n*i + 2/5*i**2 = 0. Calculate i.
0, 1
Let p(d) = d**3 + d**2 + d - 1. Let y(c) = c**4 + 6*c**3 + 5*c**2 + 4*c - 4. Let t(z) = -4*p(z) + y(z). Let t(x) = 0. Calculate x.
-1, 0
Let d(j) = 49*j - 6. Let g be d(-3). Let h be 8/45 - 34/g. Factor -6/5*f**2 - 6/5*f**3 - 2/5*f - h*f**4 + 0.
-2*f*(f + 1)**3/5
Let -12*z**2 + 20*z**3 - 36*z - 3*z**4 + 3*z**4 - 4*z**4 = 0. Calculate z.
-1, 0, 3
Factor 1 - 18*w**2 - 2*w + 3*w - 13*w - 3.
-2*(3*w + 1)**2
What is m in -10/3*m**2 + 5/3*m + 0 + 5/3*m**3 = 0?
0, 1
Let h(w) = w**3 + 15*w**2 - 37*w + 21. Let n(c) = -2*c**3 - 22*c**2 + 56*c - 32. Let a = 8 + -3. Let t(u) = a*n(u) + 8*h(u). Factor t(i).
-2*(i - 2)**2*(i - 1)
Let y(s) be the third derivative of s**8/504 - s**6/60 - s**5/45