*6/160 - i**5/40 + 3*i**2. Factor b(c).
-3*c**2*(c + 1)*(c + 2)/4
Let i be 139/(-4) + 4 + -2. Let z = i - -33. Let -1/4 - 1/2*a - z*a**2 = 0. What is a?
-1
Solve -3/2*q - 3/4*q**2 - 1 - 1/8*q**3 = 0.
-2
Let p(v) be the second derivative of -v**8/448 + v**7/280 + v**6/160 - v**5/80 - v**2 - 2*v. Let k(l) be the first derivative of p(l). Factor k(g).
-3*g**2*(g - 1)**2*(g + 1)/4
Let v be (-522)/(-135) + 12/90. Determine m so that -5/2*m**3 + 1/2*m**v + 9/2*m**2 - 7/2*m + 1 = 0.
1, 2
Let y(f) = 6*f**2 - 4*f - 2. Let s(h) = -7*h**2 + 4*h + 3. Let w(i) = 4*s(i) + 5*y(i). Let j be w(2). Factor 0*k + 3/4*k**3 + 0 + 1/4*k**j.
k**2*(3*k + 1)/4
Let l(m) = -m**2 - 6*m + 3. Let g(j) be the first derivative of j**3/3 + j**2/2 - 2. Let s(v) = 2*g(v) + l(v). Factor s(b).
(b - 3)*(b - 1)
Determine i so that 1/2*i - i**5 + 0 - 3/2*i**3 - 5/2*i**4 + 1/2*i**2 = 0.
-1, 0, 1/2
Let i be (-2)/(-5)*((-192)/(-18) + -9). Let 0 - 2/3*k**2 + 2/3*k**3 - 2/3*k + i*k**4 = 0. Calculate k.
-1, 0, 1
Let b(v) be the second derivative of -1/8*v**4 + 1/4*v**3 + 2*v + 0*v**2 + 0. Solve b(z) = 0 for z.
0, 1
Let k(a) be the second derivative of 1/24*a**4 + 1/4*a**3 - 3/40*a**5 + 1/60*a**6 + 4*a + 0 - 1/2*a**2. Let k(f) = 0. Calculate f.
-1, 1, 2
Let f(s) be the first derivative of -5*s**3/18 - 5*s**2/6 + 5*s/2 + 14. Factor f(k).
-5*(k - 1)*(k + 3)/6
Let v(k) = 4*k**4 + 13*k**3 + 19*k**2. Let h(j) = -36*j**4 - 116*j**3 - 172*j**2. Let c(n) = -3*h(n) - 28*v(n). Find u, given that c(u) = 0.
-2, 0
Let s(r) = -18*r**3 + 49*r**2 - 9*r - 9. Let d(q) = 9*q**3 - 24*q**2 + 5*q + 4. Suppose 13 = -o - 0*o. Let h(g) = o*d(g) - 6*s(g). Solve h(m) = 0 for m.
1/3, 2/3, 1
Let z(i) be the third derivative of 0*i + 1/36*i**4 + 1/60*i**5 - i**2 + 0*i**3 - 1/72*i**6 + 0. Let z(l) = 0. What is l?
-2/5, 0, 1
Let b be (-25)/30 - 0 - -1. Let u(a) be the second derivative of -1/9*a**3 - 1/36*a**4 - b*a**2 + a + 0. Factor u(i).
-(i + 1)**2/3
Find f such that 20/11*f**2 + 20/11*f**3 + 2/11*f**5 + 10/11*f**4 + 10/11*f + 2/11 = 0.
-1
Suppose 8/3*w**2 + 0*w + 0 + 0*w**3 - 2/3*w**4 = 0. Calculate w.
-2, 0, 2
Let z(g) be the first derivative of g**5/12 - 2*g**4/9 + g**3/18 + g**2/3 + 3*g + 1. Let d(q) be the first derivative of z(q). Let d(y) = 0. What is y?
-2/5, 1
Let o(h) be the third derivative of -h**9/211680 - h**8/70560 - h**5/30 - 4*h**2. Let j(d) be the third derivative of o(d). Factor j(s).
-2*s**2*(s + 1)/7
Let w = 0 + 3. Solve 3*f**w - 4 - f**2 + 2 + f + 3 - 4*f**3 = 0.
-1, 1
Let g(d) be the second derivative of -d**4/16 - d**3/4 - 3*d**2/8 - 5*d. Let g(r) = 0. Calculate r.
-1
Suppose 4 = p, -3*z + 4*p - 24 = -7*z. What is r in -4*r**2 - 3*r**z + 2*r**4 + r**2 + 4*r**4 + 3*r**3 - 3*r = 0?
-1, -1/2, 0, 1
Let j(s) be the first derivative of 1/4*s**4 - s + 1/3*s**3 - 1/2*s**2 + 3. Factor j(f).
(f - 1)*(f + 1)**2
Let n = 93/19 - 6875/1653. Let j = n - 2/29. Let 0 - 1/3*h**3 - 1/3*h + j*h**2 = 0. Calculate h.
0, 1
Let g = -333 - -1673/5. Factor 16/5*k + g - 2*k**2.
-2*(k - 2)*(5*k + 2)/5
Suppose -711 = 3*c + 654. Let g = 3193/7 + c. Find i, given that -8/7*i**4 + 0 - 6/7*i**5 + 4/7*i**3 + 2/7*i + g*i**2 = 0.
-1, -1/3, 0, 1
Let r(q) be the third derivative of 1/2*q**5 + 4/3*q**3 - 7/6*q**4 + 0 + 0*q - 3/40*q**6 + 2*q**2. Factor r(l).
-(l - 2)*(3*l - 2)**2
Let h(s) be the second derivative of 3*s**5/80 + s**4/4 - 3*s**3/8 - 27*s**2/4 - 48*s. Factor h(v).
3*(v - 2)*(v + 3)**2/4
Let y(l) = -l**3 - 8*l**2. Let g be y(-8). Determine t, given that 8/7*t**5 + 0 - 2/7*t**4 + 0*t**3 + g*t + 0*t**2 = 0.
0, 1/4
Suppose 10*d - 10 = 8*d. Suppose d*m**3 + 2 - 3 + 3*m**2 - m - 4*m**4 + 3*m**4 + 3*m**4 = 0. Calculate m.
-1, 1/2
Let c(k) be the third derivative of k**9/80640 - k**8/8960 + k**7/2240 - k**6/960 + k**5/60 + 4*k**2. Let y(f) be the third derivative of c(f). Factor y(u).
3*(u - 1)**3/4
Let m be (-1 - 1)*(-8)/(72/21). Let -m*s**3 + 0 + 4/3*s + 10/3*s**2 = 0. What is s?
-2/7, 0, 1
Let f(a) be the first derivative of a**6/30 - a**4/10 + a**2/10 + 10. Let f(q) = 0. What is q?
-1, 0, 1
Let s be ((0 + -2)/(-2))/1. Let u = s + -1. Factor -8/7*m + 0 + 2/7*m**4 + u*m**2 + 6/7*m**3.
2*m*(m - 1)*(m + 2)**2/7
Solve 3/2*b**2 + 0*b + 0 + 3/4*b**3 = 0.
-2, 0
Suppose 0 = 3*a + 4*j + 20, 0*j = 2*a + 4*j + 20. Let u be (-4)/12 - 20/(-12). Factor u*x - 4/3*x**3 + 2/3*x**2 + a - 2/3*x**4.
-2*x*(x - 1)*(x + 1)*(x + 2)/3
Let a be 1*9/(-4 - -1). Let q be (-4)/(-3) - 2/a. Let -16/9*b**q + 4/3*b**3 - 4/3*b - 2/9 + 2*b**4 = 0. Calculate b.
-1, -1/3, 1
Let m(y) be the first derivative of y**5/120 + y**4/8 + 3*y**3/4 - y**2 - 3. Let q(n) be the second derivative of m(n). Factor q(v).
(v + 3)**2/2
Let r = -97781 - -2737465/28. Let k = r + 61/4. Factor -2/7*x**2 + k*x - 4/7.
-2*(x - 2)*(x - 1)/7
Let g(t) = -t**2 - t + 1. Let a(h) = h**4 + h**3 - 2*h**2 + 1. Let b(n) = a(n) + g(n). Factor b(f).
(f - 1)**2*(f + 1)*(f + 2)
Let c(y) be the first derivative of -y**3/3 + 7*y**2/2 + 8*y - 40. Suppose c(r) = 0. What is r?
-1, 8
Let z(n) be the first derivative of 1/11*n**4 + 0*n**3 + 0*n + 0*n**2 + 4 + 1/33*n**6 + 6/55*n**5. Factor z(s).
2*s**3*(s + 1)*(s + 2)/11
Suppose -5*w - 2*l - 2*l = 12, -4*w + l = -3. Let u be (-3)/(-9)*(w + 9). Factor -6*g**u + 5*g**3 - 2*g**3 + g**3 + 2*g.
-2*g*(g - 1)*(g + 1)
Let b be ((-12)/(-18))/(2/9). Find q such that 0*q**5 - 2*q**2 - 6*q**5 + 12*q**4 - b*q**3 - q**5 = 0.
-2/7, 0, 1
Let g(t) = -3*t - 12. Let x be g(-5). Let c(o) be the first derivative of 0*o + 1/24*o**6 - 1/10*o**5 - 1/8*o**2 + 0*o**4 + 1 + 1/6*o**x. Solve c(y) = 0 for y.
-1, 0, 1
Determine h so that -246*h**2 + 31*h**3 + 26*h**3 - 3*h**4 - 424*h + 6*h**2 + 124*h = 0.
-1, 0, 10
Suppose -2/3*o + 5/3*o**2 - 5/3*o**4 + 2/3*o**3 + 0 = 0. Calculate o.
-1, 0, 2/5, 1
Let z be 0 - 2/(8/(-4)). Suppose 3*b - 5 = z. Factor -2/5 + 3/5*w - 1/5*w**b.
-(w - 2)*(w - 1)/5
Suppose -5*b = -12 - 3. Let g(v) be the third derivative of 0*v + 1/210*v**5 - 2*v**2 + 1/420*v**6 + 0 - 1/84*v**4 - 1/21*v**b. Let g(j) = 0. What is j?
-1, 1
Let u(v) = v**3 - v. Let p(t) = -3*t**3 + 15*t**2 + 3*t - 15. Let b(d) = p(d) - 2*u(d). Solve b(x) = 0 for x.
-1, 1, 3
Let u(b) = -b**2 - 20*b + 22. Let h be u(-21). Let -8*f**5 + 2*f**2 - 49/2*f**3 + 11/2*f - h - 28*f**4 = 0. Calculate f.
-2, -1, 1/4
Let s(g) = -g**3 - 4*g**2 + 3. Let a(b) = -b**3 + b**2 - 1. Let l(t) = -3*a(t) - s(t). Solve l(o) = 0.
-1/4, 0
Let g(a) be the second derivative of a**4/24 - 9*a**2/4 + a - 8. Factor g(d).
(d - 3)*(d + 3)/2
Let -6/11*c + 2/11*c**3 - 4/11 + 0*c**2 = 0. What is c?
-1, 2
Factor -202 - 84*t**3 + 202 + 15*t - 25*t**2 - 15*t**4 + 29*t**3.
-5*t*(t + 1)*(t + 3)*(3*t - 1)
Let g(x) be the third derivative of -x**6/280 - 3*x**5/70 - 9*x**4/56 + 6*x**2. Suppose g(r) = 0. Calculate r.
-3, 0
Factor 5*u**2 + 10*u**2 + 3*u**3 - 24*u**2.
3*u**2*(u - 3)
Let g(v) be the third derivative of 2*v**2 - 1/735*v**7 + 0*v**6 + 0*v + 0*v**4 + 0 + 1/105*v**5 - 1/21*v**3. Suppose g(k) = 0. Calculate k.
-1, 1
Let b = 0 - -3. Suppose -4*u + b*u - 4*c - 16 = 0, 3*c + 12 = 3*u. Let -2/9*j**5 + 4/9*j**4 - 2/9*j**3 + 0*j**2 + 0*j + u = 0. Calculate j.
0, 1
Solve -2/5*p**2 - 6/5 - 8/5*p = 0 for p.
-3, -1
Let m = -1113/5 + 223. Suppose -2/5*t**3 - 2/5*t**2 + m*t + 2/5 = 0. Calculate t.
-1, 1
Let o(j) be the second derivative of j**5/5 + 4*j**4/3 + 10*j**3/3 + 4*j**2 - 6*j. Find b such that o(b) = 0.
-2, -1
Suppose x - 3*x - 8 = 0. Let r = -2 - x. Determine b, given that 4*b**2 + 0 + r + 7*b - 2*b + b = 0.
-1, -1/2
Find h, given that -10*h**2 + 11*h**2 - 9*h**2 - 36*h - 4*h**2 + 4*h**3 - 20 = 0.
-1, 5
What is i in -38/9*i**2 + 14/9*i**3 + 8/9 + 16/9*i = 0?
-2/7, 1, 2
Let n(f) be the first derivative of f**7/1470 + f**6/2520 - f**5/210 - f**4/168 + 2*f**3 - 3. Let d(i) be the third derivative of n(i). Factor d(o).
(o - 1)*(o + 1)*(4*o + 1)/7
Let b(o) be the second derivative of o**4/6 + 5*o**3/12 + o**2/4 - 5*o. Factor b(u).
(u + 1)*(4*u + 1)/2
Let m be (-4)/14 + 34/21. Let k be 1*9 - (0 - -3). What is b in -8*b**2 + k*b - m + 10/3*b**3 = 0?
2/5, 1
Let h be (2/5)/((-52)/(-20) - 1). Factor 1/2*w + 0 + h*w**2.
w*(w + 2)/4
Let f be 8*1/(6/3). Let l(v) be the second derivative of 1/7*v**2 + 1/42*v**f + 0 - 2/21*v**3 - v. Factor l(c).
2*(c - 1)**2/7
Let 427*a**2 - 24*a + 34*a**3 - 10*a**5 + 6*a**4 - 8 + 0*a**3 - 425*a**2 = 0. What is a?