6*q**3/3 - 48*q**2 - 324*q - 1. Factor i(k).
-2*(k - 24)*(k - 2)
Let 15*a**2 + 19*a**3 - 102*a**3 - 54*a + 29*a**3 - 8 + 34*a**3 + 27*a**3 = 0. Calculate a.
-4, -1/7, 2
Let v(t) be the third derivative of t**7/126 + 7*t**6/12 - 329*t**5/36 + 565*t**4/12 - 980*t**3/9 + 2*t**2 + 274. Solve v(y) = 0 for y.
-49, 1, 2, 4
Let a(d) = 12*d + 5. Let t(s) = 3*s + 1. Let x(f) = -2*a(f) + 9*t(f). Let g(u) = -u**2 - 61*u - 2. Let m(l) = -3*g(l) + 6*x(l). Suppose m(k) = 0. What is k?
-67, 0
Let p(m) = -8*m**2 - 226*m + 12772. Let d(z) = 5*z**2 + 226*z - 12771. Let w(h) = 3*d(h) + 2*p(h). Determine a so that w(a) = 0.
113
Suppose 32*n**5 - 4408*n**3 - 3831*n**3 - 7480*n - 1488*n**4 - 553*n**3 - 5616 - 12341*n + 3081*n - 18396*n**2 = 0. What is n?
-3/2, -1, 52
Let q(n) = 35*n**2 + 17010*n - 4864. Let l(v) = -21*v**2 + v + 2. Let x(r) = -6*l(r) - 3*q(r). Factor x(t).
3*(t - 2430)*(7*t - 2)
Suppose -3*o + n = -8, 2*o = o - 3*n - 4. Suppose 0 = -p - o*s + 4, p - 2*p = -5*s + 3. Factor -23 + 32*v + 7 + 27*v**2 - 7*v**p.
4*(v + 2)*(5*v - 2)
Let x(t) be the third derivative of 32*t - 7/240*t**5 + 1/480*t**6 + 1/2*t**3 + 2*t**2 + 0 + 1/24*t**4. Determine y, given that x(y) = 0.
-1, 2, 6
Factor 114/13*h**2 - 4/13*h**3 - 162/13*h + 0.
-2*h*(h - 27)*(2*h - 3)/13
Factor -330 - 320*v**2 + 4*v**3 + 1548 - 16*v + 62.
4*(v - 80)*(v - 2)*(v + 2)
Let p = 68 + -77. Let r be (-34)/(-8) - (-2 + p/(-4)). Suppose -2/3*n**3 + 0 + 2/3*n**r - 2/3*n**2 + 2/3*n = 0. Calculate n.
-1, 0, 1
Factor -191*g**2 - 437/3*g - 47/3*g**3 + 1058/3 - 1/3*g**4.
-(g - 1)*(g + 2)*(g + 23)**2/3
Let z be -10*66/(-880)*425/102. Factor 23/4*c - z + 83/8*c**2 + 3/2*c**3.
(c + 1)*(3*c - 1)*(4*c + 25)/8
Let y(l) = -l**3 - 8*l**2 + 11*l + 16. Let z be y(-9). Let f(c) = -3*c - 3. Let r be f(z). Solve 5*i**4 - 4*i**4 + i**r - 2*i**3 - 2*i**4 = 0 for i.
-1, 0
Suppose 756 - 1460 = -1189*a + 1674. Factor -32/9*w - 2/9*w**a - 56/9.
-2*(w + 2)*(w + 14)/9
Let j(y) be the second derivative of -y**7/490 - 3*y**6/70 + 27*y**5/140 - y**4/4 - 49*y**2 + 5*y + 8. Let p(f) be the first derivative of j(f). Solve p(o) = 0.
-14, 0, 1
Let x(a) be the second derivative of -a**5/120 + 11*a**4/72 + 10*a**3/9 + 7*a**2/3 + 6704*a. Determine b, given that x(b) = 0.
-2, -1, 14
Let l(n) be the second derivative of -n**5/50 - 7*n**4/15 - 7*n**3/5 + 36*n**2/5 - 13*n - 29. Factor l(s).
-2*(s - 1)*(s + 3)*(s + 12)/5
Determine n, given that -16 + 2/3*n**2 + 4/3*n = 0.
-6, 4
Let x(f) be the third derivative of -f**7/42 - 11*f**6/12 - 32*f**5/3 - 140*f**4/3 + f**2 + 127. Factor x(h).
-5*h*(h + 4)**2*(h + 14)
Suppose -4*d = 4*l, -29*d = -3*l - 25*d + 35. Let g(j) be the third derivative of -25/6*j**3 - 5/4*j**4 - 21*j**2 - 1/12*j**l + 0*j + 0. Factor g(v).
-5*(v + 1)*(v + 5)
Suppose 4*l + 80 = 4*k, 2 = k + 3*l - 34. Suppose 0 = 25*q - k*q. Suppose q*p + 0 - p**2 - 2*p**3 - 1/4*p**4 + 3/4*p**5 = 0. Calculate p.
-1, -2/3, 0, 2
Suppose -18*z**2 - 1353*z - 17*z**2 + 5*z**2 + 4227 - 2871*z + 27*z**2 = 0. Calculate z.
-1409, 1
Suppose -4*y + 4*l = 20, -y + 49 = 5*l + 24. Let f(v) be the third derivative of 1/60*v**5 + y*v - 3*v**2 + 0 + 0*v**3 + 0*v**4 + 1/120*v**6. Factor f(a).
a**2*(a + 1)
What is l in 0*l - 4/5*l**5 + 0 - 4/5*l**4 + 8/5*l**3 + 0*l**2 = 0?
-2, 0, 1
Let n(w) be the first derivative of -3/5*w**5 + 1/16*w**6 + 21/32*w**4 + 0*w - 71 + 0*w**3 + 0*w**2. Factor n(r).
3*r**3*(r - 7)*(r - 1)/8
Let t(v) be the second derivative of -11*v**5/4 + 115*v**4/3 + 335*v**3/6 - 90*v**2 - 56*v - 2. Let t(m) = 0. Calculate m.
-1, 4/11, 9
Let y be (5635/25 - -3) + (-10)/25. Suppose -214*b - 28 = -y*b. Factor -4/5*a**b - 8/5*a**3 + 0*a - 4/5*a**4 + 0.
-4*a**2*(a + 1)**2/5
Let n(k) be the first derivative of 9/38*k**4 + 5/19*k**2 - 4/19*k + 32/57*k**3 - 76. Let n(i) = 0. Calculate i.
-1, 2/9
Let b(c) be the first derivative of -1/3*c**3 - 1/4*c**2 - 1/8*c**4 + 86 + 0*c. Factor b(y).
-y*(y + 1)**2/2
Let s be (5 + (-177)/36)/(147/(-152) - -1). Let d(r) be the first derivative of 7/10*r**4 - 6/5*r**2 - 11 + s*r**3 + 0*r. Factor d(f).
2*f*(f + 3)*(7*f - 2)/5
Suppose -t - 20 = -z, -z + 5*t + 1752 = 1664. Factor 8/5*l**z - 6/5 - 32/5*l**2 + 26/5*l.
2*(l - 3)*(2*l - 1)**2/5
Factor 16/3*z + 1/6*z**3 - 3*z**2 + 0.
z*(z - 16)*(z - 2)/6
Let s be 6 + (-12 - 600/(-99)). Let g(n) be the second derivative of 1/66*n**4 - 9*n + s*n**3 + 0 + 1/11*n**2. Factor g(i).
2*(i + 1)**2/11
Let c = -12 - -19. Let w be (10/11)/(-102*(-60)/11220). Let 23/3*j + w*j**3 + c*j**2 - 1/3*j**4 + 8/3 = 0. Calculate j.
-1, 8
Factor 1080 - 21/2*z**4 - 1/2*z**5 - 76*z**3 - 180*z**2 + 216*z.
-(z - 2)*(z + 5)*(z + 6)**3/2
Let z be (-29)/(-4) + (-270)/216. Let l be ((-2)/12)/((-2)/6)*z. Factor 0*v**2 + 0*v - 2/7*v**l + 0 + 2/7*v**4.
2*v**3*(v - 1)/7
Let j(p) be the first derivative of -46 + 6/85*p**5 - 86/17*p**4 + 13718/17*p + 2204/17*p**3 - 21660/17*p**2. Factor j(s).
2*(s - 19)**3*(3*s - 1)/17
Let m(c) = c**2 - 12*c + 40. Let o be m(5). Factor -8*r**2 - 13*r**3 - 11*r**3 - o*r - 1 + 20*r**3.
-(r + 1)*(2*r + 1)**2
Let f = -5909/15 - -1978/5. Factor -1/9*c**5 - 7/9*c**4 - 13/9*c**2 + 0 - 4/9*c - f*c**3.
-c*(c + 1)**3*(c + 4)/9
Determine q, given that 2/5*q**2 + 16*q + 222/5 = 0.
-37, -3
Let w(u) be the third derivative of u**6/420 + u**5/30 + u**4/14 - 1269*u**2. Let w(j) = 0. Calculate j.
-6, -1, 0
Let q be 870/6032 - 3/(-13). Let n(u) be the first derivative of -q*u**2 + 1/2*u + 3/20*u**5 - 1/16*u**4 - 3/4*u**3 + 6. Find o, given that n(o) = 0.
-1, 1/3, 2
Let r be -1 + (-4458)/(-378) + (48/(-324))/((-8)/(-12)). Factor -10/7*h**3 - 128/7*h + r*h**2 + 40/7.
-2*(h - 5)*(h - 2)*(5*h - 2)/7
Let s = 28991/8286 + 5/4143. Factor 0*p**2 - 23/2*p**4 + 0 - s*p**5 + 0*p - 3*p**3.
-p**3*(p + 3)*(7*p + 2)/2
Let u(y) be the first derivative of -y**6/9 + 332*y**5/3 - 43125*y**4 + 7998480*y**3 - 635664915*y**2 + 2448049068*y + 5313. Factor u(b).
-2*(b - 207)**4*(b - 2)/3
Let b(l) be the first derivative of -111 - 4/3*l**3 - 32*l + 18*l**2. Determine d so that b(d) = 0.
1, 8
Let q be ((-15)/20)/(2/(-12)*6/4). Let z(m) be the first derivative of -16 + 0*m + 6/7*m**2 + 1/7*m**q. Find x, given that z(x) = 0.
-4, 0
Let t(r) be the first derivative of -18*r**5/5 - 69*r**4/2 + 208*r**3/3 - 36*r**2 - 6772. Suppose t(j) = 0. What is j?
-9, 0, 2/3
Let v(a) = 30*a**3 - 5050*a**2 + 6460*a - 1390. Let h(f) = f**3 - 3*f - 8. Let j(p) = 5*h(p) + v(p). Suppose j(l) = 0. What is l?
2/7, 1, 143
Factor 1/3 - 154561608*z**3 - 774*z + 599076*z**2.
-(774*z - 1)**3/3
Factor -206*f**4 + 12*f**3 + 393*f**4 - 186*f**4 - 35*f**3 + 120*f**2.
f**2*(f - 15)*(f - 8)
Let k = 306253 - 918719/3. Factor -k + 15*c - 5/3*c**2.
-5*(c - 8)*(c - 1)/3
Let h(b) be the first derivative of -b**4/2 - 44*b**3/3 - 136*b**2 - 384*b + 3342. Determine i, given that h(i) = 0.
-12, -8, -2
Factor 77*j**3 + 53*j**3 - 111*j**3 + 448 + 4*j**4 + 24*j**2 - 3*j**4 - 356*j.
(j - 2)**2*(j + 7)*(j + 16)
Suppose 0*d - 3*d = -2*t - 77, -5*d = -2*t - 127. Let g = d + -21. Determine v, given that -99*v**2 - 40 - 36*v**2 - 5*v**g + 42*v - 55*v**3 - 167*v = 0.
-8, -1
Let z(a) be the third derivative of -a**7/490 + 27*a**6/280 + 24*a**5/35 - 43*a**4/14 - 120*a**3/7 - 34*a**2 - 25*a. Solve z(h) = 0 for h.
-4, -1, 2, 30
Let y(j) be the first derivative of j**8/336 + j**7/168 - j**6/72 - j**5/24 - 295*j**3/3 + 210. Let m(c) be the third derivative of y(c). Factor m(d).
5*d*(d - 1)*(d + 1)**2
Let r(v) be the second derivative of 2025/8*v**2 + 0 + 1/48*v**4 - 15/4*v**3 + 119*v. Factor r(f).
(f - 45)**2/4
Let q = 49 - 47. Factor 5*p**3 - 534*p - 81 + 1 + 654*p - 45*p**q.
5*(p - 4)**2*(p - 1)
Let k(m) be the third derivative of 0*m**3 + 1/30*m**5 + 84*m**2 + 1/210*m**7 + 1/3*m**4 + 0 - 1/24*m**6 + 0*m. What is i in k(i) = 0?
-1, 0, 2, 4
Determine n, given that 3/2*n**4 + 3 + 27/2*n**2 - 21/2*n - 15/2*n**3 = 0.
1, 2
Let n(i) be the third derivative of -7*i**5/15 + i**4/2 + 8*i**3/3 + 469*i**2. What is r in n(r) = 0?
-4/7, 1
Let a(i) be the third derivative of i**7/175 - 13*i**6/100 + 47*i**5/50 - 23*i**4/20 - 84*i**3/5 - 96*i**2 - 2*i + 10. Find v such that a(v) = 0.
-1, 3, 4, 7
Let y = -10328 + 10331. Let k(h) be the third derivative of -17*h**2 + 1/70*h**7 + 0*h**y + 0*h**4 + 0*h**6 + 0*h + 0 - 1/20*h**5. Factor k(g).
3*g**2*(g - 1)*(g + 1)
Let b(x) be the third derivative of -8*x*