-3*j**3 + 60*j**2 + 2*j**3 + 4*j**3 + 24*j - b*j**2.
3*j*(j - 8)*(j - 1)
Let k = -15892 + 63571/4. Factor -3/4*m**2 + 0 + 9/4*m**3 - 9/4*m**4 + k*m**5 + 0*m.
3*m**2*(m - 1)**3/4
Suppose 0 = 19*k - 36*k + 23*k. Let n = 2/41 + 35/123. Factor k + n*l**2 - 2/3*l.
l*(l - 2)/3
Suppose 41*k + 27 = 103 + 6. Factor 5/3*r**k - 55/3 - 50/3*r.
5*(r - 11)*(r + 1)/3
Let j(z) be the third derivative of z**7/420 + z**6/10 + 19*z**5/20 - 26*z**4/3 - 169*z**3/4 - 29*z**2 - 2*z. Factor j(a).
(a - 3)*(a + 1)*(a + 13)**2/2
Let x(y) be the second derivative of -2*y**3 + y**4 + 0*y**2 + 31*y + 0 - 3/20*y**5. Factor x(l).
-3*l*(l - 2)**2
Factor -52/5*l**2 - 4/5*l**3 - 64 - 224/5*l.
-4*(l + 4)**2*(l + 5)/5
Let a(y) = -2*y**2 + 107*y + 507. Let q(l) = l**2 - 106*l - 506. Let w(s) = -6*a(s) - 7*q(s). Factor w(v).
5*(v + 10)**2
Factor -11*h**2 - 38*h + 16*h - 30 - 43*h - 20 + h**2 + 5*h**3.
5*(h - 5)*(h + 1)*(h + 2)
Let u(l) be the second derivative of -l**6/105 + 11*l**5/140 - 19*l**4/84 + 13*l**3/42 - 3*l**2/14 + 176*l. Find t, given that u(t) = 0.
1/2, 1, 3
Let n be (-2364)/(-28)*1/(-69) + 1. Let v = 8/23 - n. Determine k, given that 0*k + 0 - v*k**3 + 0*k**2 + 2/7*k**5 + 2/7*k**4 = 0.
-2, 0, 1
Let s = -6410 - -6410. Determine i, given that s + 0*i - 3*i**2 - 4/3*i**4 - 4*i**3 = 0.
-3/2, 0
Let x(j) be the first derivative of j**5/5 + 5*j**4/4 + 3*j**3 + 7*j**2/2 + 2*j + 148. Factor x(a).
(a + 1)**3*(a + 2)
Suppose -9/7*s**2 + 24/7*s - 15/7 = 0. Calculate s.
1, 5/3
Let w(y) be the first derivative of -y**6/900 + y**5/225 + y**4/180 - 2*y**3/45 + 11*y**2/2 - 13. Let i(k) be the second derivative of w(k). Factor i(a).
-2*(a - 2)*(a - 1)*(a + 1)/15
Let p(t) be the second derivative of t**5/15 + t**4/3 - 8*t**3 + 64*t**2/3 + 7*t - 1. Suppose p(m) = 0. Calculate m.
-8, 1, 4
Let k(b) = 7*b**2 - 4*b. Let z(j) = -j**2 + 5. Let p(f) = f**2 - 4. Let x(a) = -5*p(a) - 4*z(a). Let w(l) = -k(l) - 3*x(l). Find q such that w(q) = 0.
0, 1
Let b = -388/3 - -5062/39. Solve b*z + 0 + 2/13*z**2 = 0.
-3, 0
Let n(c) = -c**3 + 3*c**2 + 4*c + 1. Let z be n(4). Let x be (z/2*-1 - 1)/(-9). Suppose -x*i**3 - 1/6*i - 1/3*i**2 + 0 = 0. Calculate i.
-1, 0
Determine l so that -10/7*l**4 + 4*l**2 - 18/7 + 4/7*l**3 + 2/7*l**5 - 6/7*l = 0.
-1, 1, 3
Let 80 - 393*n + 80*n**4 + 56*n**2 + 125*n**4 + 25*n**5 + 89*n + 132*n**3 + 282*n**3 + 10*n**3 = 0. What is n?
-5, -2, 2/5
Let v = -1713189/15218 + 11/2174. Let a = v - -113. Factor -3/7*y**3 - 3/7*y**2 + 0*y + 3/7*y**5 + 0 + a*y**4.
3*y**2*(y - 1)*(y + 1)**2/7
Let p(s) be the first derivative of -15 + 0*s - 6/7*s**2 + 3/28*s**4 - 4/7*s**3 + 3/35*s**5. Factor p(d).
3*d*(d - 2)*(d + 1)*(d + 2)/7
Let m be (-60)/(-18) - 1/3. Let a be (4/(-6))/((-2)/m) + 1. Suppose 2/7*w + 0 - 2/7*w**a = 0. Calculate w.
0, 1
Let f(d) = d**3 - 5*d**2 + 6*d - 2. Let w be f(6). Factor 5*p**4 - 55*p**3 + 100*p**3 - w*p**3 + 40*p**2 - 20*p.
5*p*(p - 2)**2*(p - 1)
Let x(w) be the first derivative of -w**6/15 - 254*w**5/25 - 3008*w**4/5 - 249856*w**3/15 - 917504*w**2/5 + 2097152*w/5 + 225. What is t in x(t) = 0?
-32, 1
Let p be 6/10 + (-76)/(-20)*3. Determine d so that 3*d + 0*d**4 + 18*d**3 + 3*d**5 + d**2 + 11*d**2 + p*d**4 = 0.
-1, 0
Factor 1/2*d**4 + 0 + 0*d - 15/2*d**2 - d**3.
d**2*(d - 5)*(d + 3)/2
Let k(p) = -30*p**2 - 70*p - 150. Let c(o) = 25*o**2 + 69*o + 150. Let f(z) = 5*c(z) + 4*k(z). Factor f(v).
5*(v + 3)*(v + 10)
Factor 1/2*p**3 - p + 1/2*p**2 + 0.
p*(p - 1)*(p + 2)/2
Suppose -14*y**2 + 3/2*y**4 + 0 - 12*y - 1/6*y**5 - 1/3*y**3 = 0. Calculate y.
-2, -1, 0, 6
Let f(c) be the second derivative of -c**5/100 + c**4/10 - 2*c**3/5 - 11*c**2/2 - 8*c. Let t(a) be the first derivative of f(a). Find o, given that t(o) = 0.
2
Suppose m = 3*j, 2*j = 2*m - j + 6. Let l(d) = 9*d**2 + 29. Let c(u) = -4*u**2 - 14. Let n be (21 - 22)*1*13. Let q(y) = m*l(y) + n*c(y). Factor q(g).
-2*(g - 2)*(g + 2)
Suppose -83 = 5*a + 5*j - 298, 4*j + 16 = 0. Let s = -45 + a. Find r, given that r**3 + 6*r**s - 1/2*r**5 + 4*r - 3/2*r**4 + 0 = 0.
-2, -1, 0, 2
Suppose -24/13*p**2 - 2/13*p**4 - 14/13*p**3 + 32/13 + 8/13*p = 0. What is p?
-4, -2, 1
Let t(k) be the first derivative of 48*k**5/25 - 6*k**4 - 39*k**3/5 + 54*k**2/5 + 81*k/5 - 33. Suppose t(u) = 0. Calculate u.
-3/4, 1, 3
Find n such that -71/5 - 72/5*n - 1/5*n**2 = 0.
-71, -1
Let w(a) be the first derivative of -a**5/5 + 2*a**4 - 22*a**3/3 + 12*a**2 - 9*a - 572. Factor w(s).
-(s - 3)**2*(s - 1)**2
Suppose 0 = 3*j - 4 - 2. Let a = -615 + 619. Factor 4*r**a + 12*r**j + 16*r**3 - 4*r - 17*r**3 - 11*r**3.
4*r*(r - 1)**3
Let c(g) be the second derivative of g**8/336 - g**7/280 - g**6/180 + 2*g**3/3 - 4*g. Let a(x) be the second derivative of c(x). Find f, given that a(f) = 0.
-2/5, 0, 1
Factor 91/3*y + 1/3*y**2 + 0.
y*(y + 91)/3
Let r(m) be the third derivative of -1/6*m**4 + 14*m**2 + 0*m**3 + 0*m + 0 + 1/30*m**6 + 1/15*m**5 - 2/105*m**7. Determine o, given that r(o) = 0.
-1, 0, 1
Suppose 1 = -7*r + 6*r + 5*n, 2*n = 4*r - 14. Suppose 5*u**2 + 2*u - r*u - u - u**3 - 3*u = 0. What is u?
0, 2, 3
Let h(p) = -2*p**2 - 11*p + 7. Suppose 0*q + q - 6 = o, -5*o - 20 = 5*q. Let s = -7 + q. Let r(v) = -v**2 - v + 1. Let l(c) = s*r(c) + h(c). Factor l(g).
(g - 1)*(4*g - 1)
Let i(l) be the third derivative of 12*l**2 + 0*l - 3/100*l**6 + 0*l**4 + 1/100*l**5 + 0*l**3 + 9/350*l**7 + 0. Factor i(h).
3*h**2*(3*h - 1)**2/5
Let l be ((-4)/10)/((-3)/30). Suppose 3*d - l = 11. Factor 2 + d - 4 - 3*r - r**3 - 2 + 3*r**2.
-(r - 1)**3
Let u = 50 - 47. Let f be 0/(-3)*(-1)/(-2). What is n in 2/5*n**4 + f*n**2 + 0*n + 0 + 2/5*n**u = 0?
-1, 0
Suppose 20 = 5*b + 3*j, 0 = -91*b + 93*b + j - 8. What is a in -17/2*a**3 + 3/2*a**b + 21/2*a**2 + 0 + 9/2*a = 0?
-1/3, 0, 3
Let n(f) be the second derivative of -f**7/20160 - f**6/2880 - 11*f**4/12 + 9*f. Let a(y) be the third derivative of n(y). Factor a(k).
-k*(k + 2)/8
Let l be 63/(-42)*((-32)/12)/2. What is a in 0 - 4/5*a - 2/5*a**l + 6*a**3 = 0?
-1/3, 0, 2/5
Let d(h) = 3*h**2 - 3. Let p(m) = -8*m**2 + 8. Let c = 36 - 81. Let w = 31 + c. Let v(f) = w*d(f) - 5*p(f). Factor v(b).
-2*(b - 1)*(b + 1)
Let c(o) be the first derivative of 10*o + 15/2*o**2 - 14 + 5/3*o**3. Factor c(y).
5*(y + 1)*(y + 2)
Suppose -172 = -6*r + 14. Let s be (-1)/((-30)/r) + (-29)/145. Find a, given that 7/6*a**3 - 1/6*a**4 - 1/6*a**2 + 1/3 - s*a - 1/3*a**5 = 0.
-2, -1, 1/2, 1
Let v be (-2 + 5)*5/3. Let 8*p**2 + 9*p**4 - 8*p**3 + v*p**4 - 12*p**4 = 0. Calculate p.
0, 2
Let x(p) be the third derivative of 0 + 0*p + 21*p**2 - 1/8*p**4 + 0*p**3 - 1/40*p**6 + 1/10*p**5. Factor x(z).
-3*z*(z - 1)**2
Let f = -62 - -282. Suppose -8 + 435*p**2 - f*p**2 - 211*p**2 - 4*p = 0. What is p?
-1, 2
Let s = 62 - 30. Let z be (s/12)/(4/6). Factor -2*u**3 + z*u**2 + 4*u**3 - 3*u**3 - 6*u**4 - u**3.
-2*u**2*(u + 1)*(3*u - 2)
Factor -29*h**3 - 5*h**4 + 240 - 129*h**2 - 2*h**4 - 72*h - 7*h**3 + 4*h**4.
-3*(h - 1)*(h + 4)**2*(h + 5)
Factor h**2 - 6*h**2 + 6*h**2 - 4.
(h - 2)*(h + 2)
Suppose o - 4*s = 18, -3*s + 0 = -6. Find f such that 10*f**2 - o*f**2 - 3 + 4*f**5 + 3 + 12*f**4 = 0.
-2, 0, 1
Let y(o) be the second derivative of -1/100*o**5 + 0*o**2 - 1/30*o**4 + o - 39 + 4/15*o**3. Determine d, given that y(d) = 0.
-4, 0, 2
Solve -30 + 129*m**2 - 84*m**2 + 3*m**4 + 0*m**4 - 24*m - 18 + 24*m**3 = 0 for m.
-4, -1, 1
Let i(a) = -3*a - 92. Let y be i(-32). Let n(m) be the third derivative of -1/30*m**5 + 2/3*m**3 - 6*m**2 + 1/12*m**y + 0 + 0*m. Factor n(l).
-2*(l - 2)*(l + 1)
Let i(w) be the third derivative of w**5/20 + 61*w**4/8 - 31*w**3 - 32*w**2 + 2. What is d in i(d) = 0?
-62, 1
Let n(j) be the second derivative of -1/5*j**5 + 2/3*j**4 + 5*j + 0*j**2 - 2/3*j**3 + 0. Factor n(y).
-4*y*(y - 1)**2
Let a(j) = 9*j**4 + 32*j**3 - 27*j**2 - 384*j + 581. Let d(f) = 28*f**4 + 96*f**3 - 80*f**2 - 1152*f + 1744. Let o(s) = -16*a(s) + 5*d(s). Factor o(r).
-4*(r - 2)**2*(r + 6)**2
Factor 36*w - 41 - 40*w**3 + 5 + 4*w**4 + 89*w**2 + 4*w - 57*w**2.
4*(w - 9)*(w - 1)**2*(w + 1)
Let f be 10/4*216/60. Let u be -12 + f + (-10)/(-6) + 2. Factor 0*j + 0*j**2 + u*j**4 + 0 + 2/3*j**3.
2*j**3*(j + 1)/3
Let g be (-64)/(-132) - (8 + 450/(-55)). Find h such that 0 - g*h + h**2 + 3*h**3 = 0.
-2/3, 0, 1/3
Let x(o) be the first derivative of -5*o**4/4 - 80*o**3/3 + 318. Factor x(k).
-5*k**2*(k + 16)
Let o b