x(j). Factor p(b).
2*(b - 6)*(2*b + 1)/9
Let h(p) = -15*p + 3. Let r be h(11). Let d be r/4*(-19 - -18). Determine j, given that -2 - d*j**2 + 18*j = 0.
2/9
Let l(a) be the third derivative of 1/10*a**6 + 0*a - a**2 - 2/15*a**5 + 4/3*a**3 - 1/2*a**4 + 0. Determine j, given that l(j) = 0.
-1, 2/3, 1
Let x(q) = 7*q**3 - 8*q**3 - 1 + q + 8 + 3 - 7*q**2. Let c be x(-7). Factor 15*b**2 + 14*b**3 - 2*b**c - 35*b**4 + 38*b**4 + 6*b.
3*b*(b + 1)**2*(b + 2)
Let p = -34 - -41. Suppose p = 2*s + 1. Solve -3/4*q + 0 - s*q**2 = 0.
-1/4, 0
Let m(w) be the first derivative of 0*w**2 - 2/21*w**3 - 6 + 8/7*w. Factor m(q).
-2*(q - 2)*(q + 2)/7
Let x be (-33)/22 - (0 - (-39)/(-10)). Let r be (-3)/(((-6)/(-4))/(-1)). Solve -3/5*k**4 - x + 12/5*k + 9/5*k**r - 6/5*k**3 = 0.
-2, 1
Suppose -6*l + l + 4*n - 2 = 0, -5*n + 13 = -l. Suppose -l*k - k + 6 = 0. Factor -i**2 + i**k + i**2 + i.
i*(i + 1)
Factor 1/3*a**5 + 13/3*a**3 + 4/3*a - 2*a**4 + 0 - 4*a**2.
a*(a - 2)**2*(a - 1)**2/3
Let r = 291/535 - -6/107. Let 3/5*m**3 + 0 + r*m**2 + 0*m = 0. What is m?
-1, 0
Find w, given that 6*w**3 + 22/5*w**4 + 2/5*w**5 + 0*w - 54/5*w**2 + 0 = 0.
-9, -3, 0, 1
Let v(w) be the third derivative of 0*w - 9*w**2 - 1/5*w**5 + 1/40*w**6 + 5/8*w**4 + 0 - w**3. Factor v(l).
3*(l - 2)*(l - 1)**2
Suppose 6*o + 2*x + 8 = 2*o, 5*x - 19 = 3*o. Let t = o - -3. Factor -2/5*m**3 + t*m + 0 + 2/5*m**2.
-2*m**2*(m - 1)/5
What is o in -1/4*o**4 - 1/4 - 1/4*o**5 + 1/2*o**2 - 1/4*o + 1/2*o**3 = 0?
-1, 1
Let q(p) be the first derivative of p**6/18 - 7*p**5/3 - 37*p**4/6 - 2*p**3/9 + 73*p**2/6 + 37*p/3 - 485. Factor q(i).
(i - 37)*(i - 1)*(i + 1)**3/3
Let q(w) be the first derivative of 0*w + 1/150*w**5 - 2 + 0*w**3 + 5/2*w**2 - 1/60*w**4. Let f(d) be the second derivative of q(d). Factor f(p).
2*p*(p - 1)/5
Let m(b) be the third derivative of -11*b**5/30 + 109*b**4/24 + 5*b**3/6 + 24*b**2 + 2*b. Solve m(d) = 0.
-1/22, 5
Let c(h) be the second derivative of -h**5/20 + 2*h**3 + 5*h**2 - 7*h. Let z(q) be the first derivative of c(q). Let z(b) = 0. What is b?
-2, 2
Let p(x) be the first derivative of -3*x**4/28 + 18*x**3/7 - 99*x**2/14 + 48*x/7 - 36. Factor p(o).
-3*(o - 16)*(o - 1)**2/7
Let u = -878 + 878. What is l in u*l + 0*l**2 + 0*l**4 + 0 - 3/2*l**5 + 0*l**3 = 0?
0
Let m(v) = -8*v**4 - 60*v**3 + 156*v**2 + 76*v. Let f(i) = -i**4 + i**3 - i**2 - i. Let w(d) = 12*f(d) + m(d). Factor w(z).
-4*z*(z - 2)*(z + 4)*(5*z + 2)
Find l such that 2/5*l**5 + 16/5*l - 18/5*l**3 + 0 - 14/5*l**2 + 14/5*l**4 = 0.
-8, -1, 0, 1
Suppose 2*a + 5*g = 5, -4*a - g = g - 2. Let v = 4 - a. Factor -1/3*f**v + 1/3*f - 1/3*f**3 + 1/3*f**2 + 0.
-f*(f - 1)*(f + 1)**2/3
Let n = 114/101 - -668/303. Let n*k**2 + 5/2*k**3 + 0 + 5/6*k = 0. What is k?
-1, -1/3, 0
Let p(j) be the first derivative of -4*j**3/21 - 736*j**2/7 - 135424*j/7 - 617. Factor p(m).
-4*(m + 184)**2/7
Let o(h) = -2*h**2 - 117*h + 184. Let d be o(-60). Find r such that 1/2*r + 0 - r**5 + 15/4*r**d + 3/4*r**2 - 4*r**3 = 0.
-1/4, 0, 1, 2
Let k(a) = -36*a**2 + 76*a - 16. Let w(t) be the first derivative of -7*t**3/3 + 15*t**2/2 - 3*t - 41. Let y(u) = -3*k(u) + 16*w(u). Factor y(v).
-4*v*(v - 3)
Let j(z) = -3*z**2 + 3*z + 2. Let g be j(-2). Let t be (18/(-12))/(6/g). Determine y, given that -16/5 + 32/5*y + t*y**2 = 0.
-2, 2/5
Suppose 42*r - 52 = 29*r. Let u(k) be the third derivative of 0*k + 7*k**2 + 0 - 1/180*k**5 + 0*k**3 + 0*k**r - 1/360*k**6. Factor u(n).
-n**2*(n + 1)/3
Let l be 2*((-81)/2)/3. Let o = l + 29. Factor y**2 + 6*y + 4*y**2 - y**2 - 2*y**o.
2*y*(y + 3)
Factor -22*p**2 - 29 + 9 + 41*p**2 + 8*p - 18*p**2.
(p - 2)*(p + 10)
Factor -9*s**2 + 4 + 60 + 48*s + s**2 - 8*s**3 - 4*s**2 - 16*s - s**4.
-(s - 2)*(s + 2)*(s + 4)**2
Let i be 9/135 - (-12)/36. Factor i*j - 4/15 - 2/15*j**2.
-2*(j - 2)*(j - 1)/15
Let d(p) be the first derivative of 3*p**4/4 - 2*p**3 + 3*p**2/2 - 126. Factor d(u).
3*u*(u - 1)**2
Suppose q = -h + 5*h - 19, 5*h + 3*q = 28. Let v be ((-3)/(-2))/(1/(h/15)). Factor -v*g**2 + 0 + 0*g - 1/4*g**4 + 3/4*g**3.
-g**2*(g - 2)*(g - 1)/4
Let s = 2 - -2. Suppose b + 4*c = s*b + 20, -2*c + 10 = b. Find v such that -1/5*v**3 + 0*v - 1/5*v**2 + b = 0.
-1, 0
Factor 578/9 + 2/9*a**2 + 68/9*a.
2*(a + 17)**2/9
Let k be (84/28 + (-22)/4)*(-44)/165. Factor z - 1/3*z**2 - k.
-(z - 2)*(z - 1)/3
Suppose 192*n + 18 = 201*n. Let q(u) be the third derivative of -1/120*u**6 + 0*u**3 + 8*u**n - 1/60*u**5 + 0*u + 1/12*u**4 + 0. Factor q(o).
-o*(o - 1)*(o + 2)
Suppose -44*l = -49*l + 45. Suppose 3*y - 14*y - 3*y**2 + 2*y - l*y = 0. What is y?
-6, 0
Let u be 5 - 7 - (-56)/20. Factor 6*v - 26/5*v**2 - u.
-2*(v - 1)*(13*v - 2)/5
Let q be (-2 - -2)/(4 - 1). Suppose q = 2*o - 8. Suppose a**4 + 0*a - 5*a**3 - a**5 - a - a**3 + o*a**2 + 3*a**4 = 0. Calculate a.
0, 1
Suppose 8 = 18*d - 14*d. Let c be 7 - d - 46/10. Suppose -2/5*i**5 + 0 + 0*i**3 - 4/5*i**2 + 4/5*i**4 + c*i = 0. Calculate i.
-1, 0, 1
Let f(k) be the third derivative of k**8/336 + 2*k**7/105 - k**6/120 - k**5/15 + k**2 + 5. Factor f(s).
s**2*(s - 1)*(s + 1)*(s + 4)
Let t be 74/28 - (-45)/(-150)*5. Suppose -8/7*y**2 + t*y + 2/7*y**3 + 0 = 0. What is y?
0, 2
Let g = -1230 - -20916/17. Factor g*r**2 - 10/17*r**3 + 4/17*r + 0.
-2*r*(r - 1)*(5*r + 2)/17
Solve 4/3*y**3 + 16 + 32/3*y**2 + 76/3*y = 0 for y.
-4, -3, -1
Let f(n) be the first derivative of -n**4/6 - 44*n**3/9 - 121*n**2/3 - 221. Suppose f(i) = 0. Calculate i.
-11, 0
Let g(w) = w**2 + 6*w - 1. Let a be g(-7). Let a*v**3 - 7*v**4 - 4*v**2 + 6*v**4 + v + v**5 + 0*v**4 - 3*v**4 = 0. Calculate v.
0, 1
Let t(x) = -100*x + 5. Let p(q) = -q**2 - 103*q + 4. Let c(m) = 5*p(m) - 4*t(m). Factor c(o).
-5*o*(o + 23)
Suppose b = -a + 4*b + 3, -5 = 5*a + 5*b. Let p = 79 - 313/4. What is j in -p*j**2 + a + 0*j = 0?
0
What is j in -105/2*j**2 - 1/2*j**3 - 42875/2 - 3675/2*j = 0?
-35
Let n(d) be the first derivative of 1/36*d**4 + 9 + 0*d**2 - 1/18*d**3 + 1/60*d**5 - 1/90*d**6 + 4*d. Let u(r) be the first derivative of n(r). Factor u(j).
-j*(j - 1)**2*(j + 1)/3
Let p(m) be the first derivative of m**7/168 + m**6/120 - m**5/40 - 16*m - 51. Let c(i) be the first derivative of p(i). Determine o so that c(o) = 0.
-2, 0, 1
Let d(f) = f**2 + 8*f + 14. Let z be 2/9 - 112/18. Let x be d(z). Factor -4*g**2 + 2 - 4*g**x + 6*g**2.
-2*(g - 1)*(g + 1)
Let b(o) be the second derivative of o**4/30 + 214*o**3/15 + 11449*o**2/5 - 68*o. Find g, given that b(g) = 0.
-107
Let j(z) be the third derivative of -z**6/180 - z**5/12 - z**4/3 + 11*z**3/6 + 18*z**2. Let s(i) be the first derivative of j(i). Factor s(a).
-2*(a + 1)*(a + 4)
Factor 2/11*o**5 + 0*o**2 + 10/11*o**4 - 12/11*o**3 + 0*o + 0.
2*o**3*(o - 1)*(o + 6)/11
Let d be (-12)/72 - (9275/(-714))/25. Factor 8/17 - 2/17*k**2 + d*k.
-2*(k - 4)*(k + 1)/17
Let b(q) be the third derivative of q**6/480 + 3*q**5/80 + 9*q**4/32 - q**3/2 + 2*q**2. Let h(o) be the first derivative of b(o). Suppose h(d) = 0. Calculate d.
-3
Let f(x) be the second derivative of 1/42*x**3 + 0*x**2 + 1/84*x**4 + 0 - 1/210*x**6 - 1/140*x**5 - 34*x. Solve f(y) = 0.
-1, 0, 1
Let b(o) be the third derivative of -o**5/40 - 5*o**4/16 - o**2 - 195*o. Factor b(g).
-3*g*(g + 5)/2
Suppose 0*s - 8 = -4*s. Suppose -b - 2*x + 8 = -0*b, 0 = -3*b + s*x. Factor 5*u**3 - b*u**2 + 4*u**3 + u - 5*u**3 - 3*u**3.
u*(u - 1)**2
Suppose 119 + 25 = 36*v. Suppose 24/7*a**3 - 16/7*a**2 + 4/7*a**5 - 16/7*a**v + 0 + 4/7*a = 0. What is a?
0, 1
Let i(x) be the second derivative of -2*x**6/3 + 11*x**5/5 + 4*x**4 - 40*x**3/3 - 32*x**2 + 129*x. Find k such that i(k) = 0.
-1, -4/5, 2
Let z(t) be the second derivative of -t**6/15 + 7*t**5/5 - 35*t**4/6 + 22*t**3/3 + 104*t - 4. What is c in z(c) = 0?
0, 1, 2, 11
Factor 4864/7*c**2 + 7*c**4 - 1/7*c**5 - 4096/7*c + 0 - 816/7*c**3.
-c*(c - 16)**3*(c - 1)/7
Let t(x) be the first derivative of 1/14*x**4 + 2/7*x - 2/21*x**3 - 1/7*x**2 + 17. Find s such that t(s) = 0.
-1, 1
Let q(k) be the third derivative of -5*k**2 + 1/6*k**3 + 0*k + 1/120*k**5 + 0 - 1/16*k**4. Factor q(v).
(v - 2)*(v - 1)/2
Factor 0*x**2 - 2/13*x**3 + 0 + 8/13*x.
-2*x*(x - 2)*(x + 2)/13
Let j(t) be the first derivative of -29 + 4/3*t**3 + 16/9*t + 22/9*t**2 - 4/45*t**5 + 1/9*t**4. Solve j(w) = 0.
-1, 4
Let h(x) be the second derivative of x**9/45360 - x**7/2520 - x**6/1080 + 7*x**4/3 + 26*x. L