a(j) = 18*j**2 - 123*j - 258. Let q(p) = 4*a(p) + 3*o(p). What is r in q(r) = 0?
-2, 42
Let m(f) be the third derivative of 2*f**7/105 + f**6/6 - 7*f**5/5 + 23*f**4/6 - 16*f**3/3 + 71*f**2. Factor m(z).
4*(z - 1)**3*(z + 8)
Let c = -10 + 17. Suppose c - 1 = 3*t. Factor -47*u**3 - u + 46*u**4 + 0*u - 14*u**5 - 3*u - 7*u**3 + 26*u**t.
-2*u*(u - 1)**3*(7*u - 2)
Let i be -3 - (4/8)/((-1)/12). Suppose -4*h + 3*h + i = 0. Find w, given that -h*w**2 + 0 + 3/2*w**3 + 3/2*w = 0.
0, 1
Let r(p) be the first derivative of 4*p**5/5 - 12*p**4 + 184*p**3/3 - 120*p**2 + 100*p + 131. Factor r(l).
4*(l - 5)**2*(l - 1)**2
Suppose 0 = 11*n - 6*n - 40. Factor -3809*k + 3809*k - 2*k**2 + n.
-2*(k - 2)*(k + 2)
Factor -128/5 - 514/5*d - 8/5*d**3 - 104*d**2.
-2*(d + 64)*(2*d + 1)**2/5
Let y be 4*(1 + (-3)/6). Let i be (106/(-318))/(2/66) - -11. Factor 3/2*c**3 + 3/2*c**4 + i - 3/2*c - 3/2*c**y.
3*c*(c - 1)*(c + 1)**2/2
Let j = -1 + 2. Suppose -80*s - 25*s = -1050. Find h, given that -3 - 3 - 5*h**2 - j + 2 + s*h = 0.
1
Let x = 17 + -13. Determine l so that 120 - 27*l**2 - 5*l**3 - 3*l**x - 13*l**3 - 120 = 0.
-3, 0
Let q(i) be the third derivative of -i**7/630 - i**6/180 - i**5/180 - i**2 + 61*i. Factor q(g).
-g**2*(g + 1)**2/3
Let s(w) = 268*w + 2412. Let o be s(-9). Factor o + 1/6*n - 1/6*n**2.
-n*(n - 1)/6
Let m(t) be the first derivative of 4/3*t**3 + 4*t**2 + 13 + 0*t - 3*t**4 + 2/3*t**6 - 4/5*t**5. Determine k so that m(k) = 0.
-1, 0, 1, 2
Let 3/2*m**5 - 9/2*m**2 - 15/2*m**3 + 6*m + 0 + 9/2*m**4 = 0. What is m?
-4, -1, 0, 1
Let z be (-1)/(-2)*(-104)/(-260). Let r(d) be the first derivative of 0*d**2 + 2 + z*d**3 - 12/5*d. Factor r(t).
3*(t - 2)*(t + 2)/5
Suppose -22*y = -24*y + 2*h + 6, y = 4*h + 9. Let f(i) be the first derivative of -y - 2/3*i**3 + 0*i - i**2. Solve f(g) = 0.
-1, 0
What is t in -10/3*t**3 + 10/3 - 58/3*t**2 - 38/3*t = 0?
-5, -1, 1/5
Let o be (-72)/(-24)*(-2)/6. Let z be (-37)/(-7) - (6 + o). Determine t so that 0 + z*t**3 + 2/7*t**2 - 4/7*t = 0.
-2, 0, 1
Let m(y) = y**2 + 11*y + 17. Let q be m(-10). Factor -q*u**2 - 8*u + 0*u**3 + 31*u**2 - u**3 - 9*u**3.
-2*u*(u - 2)*(5*u - 2)
Let q(r) be the third derivative of -5/12*r**5 + 5/4*r**4 + 0 + 26*r**2 - 5/6*r**3 + 0*r. Factor q(f).
-5*(f - 1)*(5*f - 1)
Let d(p) = 12*p - 3. Let f be d(1). Let x be (3 - f)/(-3)*(-1)/(-10). Factor x*y**3 + 0 + 0*y**2 - 1/5*y.
y*(y - 1)*(y + 1)/5
Let s(x) be the third derivative of 8*x**2 + 0*x**3 + 1/300*x**6 + 1/300*x**5 + 0*x**4 + 0*x - 1/840*x**8 + 0 - 1/1050*x**7. Find w such that s(w) = 0.
-1, -1/2, 0, 1
Factor -14*i**3 + 10*i**2 + 0*i**3 + 13*i**3 - 4*i**3 - 5*i**4.
-5*i**2*(i - 1)*(i + 2)
Suppose -g = -2*g + 3. Suppose g*j + j = 12. Solve 2*p**3 + 12*p - 12*p**2 - 5*p**j + 6*p**3 = 0 for p.
0, 2
Solve -11*p**4 + 1/3*p**5 + 0*p + 0 + 0*p**3 + 0*p**2 = 0 for p.
0, 33
Factor -7776 - 1350*j**2 + 5165*j - 90*j**3 + 1315*j - 1675*j**5 + 30*j**4 + 1677*j**5.
2*(j - 3)**3*(j + 12)**2
Let j = 844/7 - 1667/14. Determine v, given that j*v**2 + v + 1/4*v**4 + 1/4 + v**3 = 0.
-1
Let h be 1 - ((-6)/10 - 2/5). Suppose -117 + q**2 + 72*q - 207 - 5*q**h = 0. What is q?
9
Let c(v) be the third derivative of v**8/1680 + v**7/1050 - v**6/150 - v**5/75 - 184*v**2. What is x in c(x) = 0?
-2, -1, 0, 2
Let h = -49 - -348/7. Let v = 6/7 - h. Find w, given that v*w + 0 + 1/7*w**3 + 2/7*w**2 = 0.
-1, 0
Let z = 8 - 4. Factor -2*j**2 - 189*j**z + 6*j**2 + 187*j**4 - 2.
-2*(j - 1)**2*(j + 1)**2
Factor -20*w**2 + 15*w**4 + 546 - 546 + 5*w**5.
5*w**2*(w - 1)*(w + 2)**2
Let q(o) be the first derivative of -o**5/15 - o**4/6 + 5*o**3/9 + o**2 - 41. Find l, given that q(l) = 0.
-3, -1, 0, 2
Suppose -16*m = -20*m - 5*i + 32, -40 = -5*m - 4*i. Let v(q) be the first derivative of -m - 3/2*q**2 + 9/4*q + 1/4*q**3. What is n in v(n) = 0?
1, 3
Let n(j) = -2*j**3 - 5*j**2 - 8*j - 16. Let p be n(-4). Factor -4 + p*h + 10 - 84*h**3 + 4*h**2 + 10.
-4*(h - 1)*(3*h + 2)*(7*h + 2)
Let b(l) = 2*l - 36. Let a be b(19). Solve 2*m**3 - a*m + 1 + 0 + 5 - 6*m**2 = 0.
-1, 1, 3
Let a(l) be the third derivative of -11*l**8/2520 + 13*l**7/1575 + l**6/100 - 13*l**5/450 + l**4/90 + 577*l**2. Let a(d) = 0. Calculate d.
-1, 0, 2/11, 1
Determine y, given that -34/9*y - 8/9 + 10/9*y**3 + 32/9*y**2 = 0.
-4, -1/5, 1
Let r(s) be the first derivative of 2*s**5/55 - 2*s**4/11 + 8*s**3/33 - 338. Factor r(l).
2*l**2*(l - 2)**2/11
Suppose -66*x - 143*x**2 + 110*x**2 + 90*x**3 + 75*x**4 + 12 + 30*x = 0. What is x?
-1, 2/5
Let s(t) be the first derivative of -t**8/336 - t**7/84 - t**6/72 - 2*t**3/3 - 11. Let a(i) be the third derivative of s(i). Find h, given that a(h) = 0.
-1, 0
Let c = 31 - 29. Suppose -c*n + 12 = 4*n. Suppose -n*j**4 + 3*j**4 - 14*j**3 + 15*j**3 = 0. Calculate j.
-1, 0
Let n = 4 + -2. Let m be (-42)/(-70) + (-4)/40. Determine f so that -m*f**3 + 1/2*f**n + 1/2*f - 1/2 = 0.
-1, 1
Solve 1/7*r**3 + 0 + 1/7*r - 2/7*r**2 = 0 for r.
0, 1
Let w(b) = -3*b**4 - 10*b**3 + 13*b**2 + 11*b + 11. Let i(z) = 2*z - 2*z**4 - 6*z**3 - z + 6 + z**3 + 7*z**2 + 5*z. Let o(d) = -11*i(d) + 6*w(d). Factor o(v).
v**2*(v - 1)*(4*v - 1)
Let d(a) be the third derivative of -a**5/36 + 35*a**4/6 + 425*a**3/18 - 147*a**2. Factor d(y).
-5*(y - 85)*(y + 1)/3
Let c(b) be the first derivative of b**4 + 16*b**3 + 204*b**2 + 840*b + 50. Let p(g) = g**2 + g + 1. Let o(q) = -c(q) - 24*p(q). Let o(f) = 0. Calculate f.
-6
Solve 9/8*u**4 - 27/8*u**5 - 3/4*u**2 - 15/8*u - 3/8 + 21/4*u**3 = 0 for u.
-1, -1/3, 1
Let a(o) be the first derivative of -o**4/5 + 4*o**3/15 + 18*o**2/5 - 36*o/5 - 258. Factor a(v).
-4*(v - 3)*(v - 1)*(v + 3)/5
Let t(z) be the third derivative of -z**6/1320 + z**5/220 + z**4/264 - z**3/22 - 18*z**2 + 7. What is j in t(j) = 0?
-1, 1, 3
Let w = 59 - 88. Let m = -86/3 - w. Suppose 2/3*i**2 - m - 1/3*i = 0. Calculate i.
-1/2, 1
Let u = -6/665 - -683/1995. Let z(w) be the first derivative of u*w**3 - 14 + w + w**2. Factor z(l).
(l + 1)**2
Let n(z) be the third derivative of -z**8/1680 - z**7/2100 + z**6/360 + z**5/300 + 3*z**3/2 - 10*z**2. Let q(u) be the first derivative of n(u). Factor q(r).
-r*(r - 1)*(r + 1)*(5*r + 2)/5
Suppose 0 = -4*o + 3*c + 2*c, 0 = 2*o - 5*c. Suppose -i + 5 = -o. Factor -4*t**2 + i*t**2 - 4*t**2 + 3*t + 6.
-3*(t - 2)*(t + 1)
Let t(b) be the first derivative of -b**6/3 - 2*b**5/5 + 2*b**4 + 8*b**3/3 - 580. Solve t(q) = 0 for q.
-2, -1, 0, 2
Factor 5250987*p - 333396*p**2 + 0 - 84*p**4 + 1/3*p**5 + 7938*p**3.
p*(p - 63)**4/3
Let y(n) be the first derivative of -4/11*n + 17 - 3/11*n**2 - 2/33*n**3. Factor y(l).
-2*(l + 1)*(l + 2)/11
Let v = 7 - -6. Suppose v*a - 9*a - 8 = 0. Find k, given that -4/5*k**a - 2/5 + k + 1/5*k**3 = 0.
1, 2
Solve -1/2*l**2 - 7442 - 122*l = 0.
-122
Let k(j) = j - 2. Let i(p) = 6*p - 10. Let w(s) = 2*i(s) - 11*k(s). Let f be w(0). Factor -5*x**2 + 0*x**2 + x**2 + 3*x**f.
-x**2
Factor 2/3 + 4/3*n + 2/3*n**2.
2*(n + 1)**2/3
Determine a, given that 28/11*a - 70/11*a**2 + 2*a**4 - 30/11*a**3 + 48/11 + 2/11*a**5 = 0.
-12, -1, 1, 2
Factor 201/2*h**2 - 405/2*h + 203/2 + 1/2*h**3.
(h - 1)**2*(h + 203)/2
Let q be ((-26)/(-4))/(-13) + (-434)/(-860). Let w = q + 209/1290. Determine o so that 1/2*o**3 + w*o - 1/6*o**4 - 1/2*o**2 + 0 = 0.
0, 1
Factor 0*a - 2/3*a**2 + 1/3*a**4 + 0 - 1/3*a**3.
a**2*(a - 2)*(a + 1)/3
Let g(b) be the first derivative of -20*b**3/3 - 18*b**2 + 8*b + 129. Find x such that g(x) = 0.
-2, 1/5
Suppose -93*l + 97*l = 5*a + 15, 3*l - 5*a - 15 = 0. Let d = 1 - -2. Suppose -4*k**3 + l*k**4 + k + 2*k**4 + d*k - 2 = 0. Calculate k.
-1, 1
Determine d, given that -29/3*d + 7/3 + 4/3*d**2 = 0.
1/4, 7
Factor 17/11*y + 1/11*y**2 + 0.
y*(y + 17)/11
Suppose 11*q = 9*q + 120. Let n be (3/q)/(6/24). Factor n*b**2 + 0 - 2/5*b.
b*(b - 2)/5
Let k(g) = -g**2 - 10*g - 1. Let f be k(-9). Factor -6*t**4 + f*t**2 + 22*t**4 + 4*t**5 + 523*t**3 - 503*t**3.
4*t**2*(t + 1)**2*(t + 2)
Let r(v) = 6*v**2 - 324*v + 340. Let s(d) = -d**2 + 65*d - 68. Let h(t) = 6*r(t) + 33*s(t). What is l in h(l) = 0?
-68, 1
Let 15*v**4 + 92*v - 32*v - 20 + 5*v**2 + 90*v**3 + 25*v**5 - 175*v**3 = 0. Calculate v.
-2, -1, 2/5, 1
Let x(p) be the first derivative of -p**4/18 + 20*p**3/27 - p**2 - 59. Factor x(m).
-2*m*(m - 9)*(m - 1)/9
Let w(l) be the first derivative of l**6/420 - l**4/84 + 9*l**2/2 + 12. Let k(p) be the secon