f p**6/360 + 11*p**5/60 + 157*p**4/36 + 112*p**3/3 + 13*p**2 - 221*p. Factor n(q).
(q + 3)*(q + 14)*(q + 16)/3
Let t be -15*42/(-63)*20/1. Suppose -5*u + 2 = -8. Factor 4 + 0*r**2 + r**u + 205*r - t*r.
(r + 1)*(r + 4)
Factor -3*a + 27/4 + 1/4*a**2.
(a - 9)*(a - 3)/4
Let k(n) be the second derivative of -n**4/48 + 7*n**3/12 - 49*n**2/8 - 1778*n. Factor k(o).
-(o - 7)**2/4
Let x(o) be the third derivative of -o**5/270 - 1571*o**4/108 + 716*o**2. Factor x(m).
-2*m*(m + 1571)/9
Let i be 2/7*-3*(-42)/9. Suppose -28 = -v - 3*x, v + i*x = 5*v - 48. Find w, given that -14*w**3 - v*w**3 + 32*w**3 - 2*w**4 = 0.
0, 1
Determine v so that v**3 - 135439*v**2 - 191539751 - 4*v**3 + 3827432 + 131866*v**2 - 1418481*v = 0.
-397
Let c(k) = -k**2 + 7*k - 10. Let l be c(3). Find f such that -3*f**3 - 787*f**2 + 403*f**l + 414*f**2 = 0.
0, 10
Let y(x) = -5*x**2 + 3*x + 2. Let b(r) = 36*r**2 - 2539*r + 1585067. Let o(j) = -3*b(j) - 21*y(j). Solve o(d) = 0 for d.
1259
Let x be (-11)/33 + (-21)/(-9). Determine k, given that -k - 24*k - 2*k**x + 2*k**2 + 6 + 3*k**2 + 4*k**3 = 0.
-3, 1/4, 2
Let c be ((-1717)/(-187) - 7) + (-4)/22. Factor 15/4*b + 7/4 - 7/2*b**3 - 9/4*b**4 - 1/4*b**5 + 1/2*b**c.
-(b - 1)*(b + 1)**3*(b + 7)/4
Let f(s) = -4*s + 52. Let p(q) = -q + 17. Let z(b) = -2*f(b) + 7*p(b). Let l be z(-13). Let -2/5*y + 0 - 14/5*y**l = 0. Calculate y.
-1/7, 0
Let h = 6963/2 - 3480. Let s(i) be the first derivative of 16/9*i**3 - 16/15*i**5 - h*i**4 + 5/9*i**6 - 2 + 4/3*i**2 + 0*i. Let s(x) = 0. Calculate x.
-1, -2/5, 0, 1, 2
Suppose -140*p = -139*p - 126. What is k in -462 - 13*k - 77*k - 5*k**2 + p - 69 = 0?
-9
Let f(o) be the third derivative of -o**5/75 + 317*o**4/10 + 1904*o**3/15 + 8815*o**2. Find p such that f(p) = 0.
-1, 952
Let c(h) = 7*h**2 - 5*h - 898. Let b(y) = 155*y**2 - 110*y - 19750. Let l(d) = 2*b(d) - 45*c(d). Factor l(n).
-5*(n - 14)*(n + 13)
Factor -362*i - 515*i + 776*i + 101*i**3 + 99*i**2 + i**4 - 100.
(i - 1)*(i + 1)**2*(i + 100)
Let -19 - 2748*o**2 - 37 - 62*o + 2807*o**2 - 7*o**3 = 0. What is o?
-4/7, 2, 7
Suppose -t - 46 + 94 = 4*x, 3*x - 36 = t. Factor 2/3*y**4 + 8/3*y**3 + 0*y + t + 2*y**2.
2*y**2*(y + 1)*(y + 3)/3
Let s(x) be the first derivative of x**4/12 - 769*x**3/3 + 591361*x**2/2 - 454756609*x/3 - 1902. Factor s(r).
(r - 769)**3/3
Let g(w) = -7*w**3 - 19*w**2 - 2*w + 19. Suppose -23*s - 140 = -33*s. Let y(o) = 32*o**3 + 94*o**2 + 10*o - 94. Let m(z) = s*g(z) + 3*y(z). Factor m(v).
-2*(v - 8)*(v - 1)*(v + 1)
What is r in 0 - 12*r - 4*r**4 + 4*r**2 + 1/3*r**5 + 35/3*r**3 = 0?
-1, 0, 1, 6
Suppose 0*w**2 + 149/3*w**4 + 0*w + 0*w**3 + 0 - 1/3*w**5 = 0. Calculate w.
0, 149
Let a = 24125 + -603109/25. Let g(n) be the first derivative of -6/5*n - a*n**5 - 17/5*n**2 - 36 - 27/10*n**4 - 22/5*n**3. Suppose g(w) = 0. What is w?
-1, -3/8
Let p(d) be the first derivative of -d**6/2 + 3*d**5/5 + 15*d**4/2 - 4*d**3 - 36*d**2 - 1672. Determine n, given that p(n) = 0.
-2, 0, 2, 3
Let n(p) be the third derivative of -2*p**7/315 + 59*p**6/360 - 257*p**5/180 + 67*p**4/18 + 14*p**3/3 - 10273*p**2. Solve n(q) = 0 for q.
-1/4, 2, 6, 7
Suppose 110*s - 115*s = 5*u + 45, 5*u = -55. Solve -2/5*j**s + 6*j + 32/5 = 0 for j.
-1, 16
Let c(v) be the third derivative of v**5/510 + 37*v**4/68 - 826*v**3/51 - 5*v**2 - 2*v - 227. Suppose c(k) = 0. Calculate k.
-118, 7
Let s(v) be the first derivative of 62/5*v - 2/15*v**3 + 6*v**2 - 91. Determine y, given that s(y) = 0.
-1, 31
Let h = 6 - 2. Let w(l) = -169*l - 1519. Let i be w(-9). Solve 54*o**2 - 8*o - 14*o**i - 20*o**3 + 72*o**5 - 132*o**h - 4 + 52*o**3 = 0 for o.
-1/3, 1/2, 1
Suppose 37*o - 212 = -131*o + 124. Factor -1/5*s + 0 - 16/5*s**o.
-s*(16*s + 1)/5
Let i(j) be the second derivative of -j**7/63 + 4*j**6/45 + j**5/6 - 10*j**4/9 - 4*j**3/9 + 16*j**2/3 + 4085*j. Solve i(q) = 0.
-2, -1, 1, 2, 4
Find n, given that 208/9 + 2/9*n**2 + 20/3*n = 0.
-26, -4
Let x = -1006446/11 - -7516373/77. Let g = 6133 - x. Factor -27/7*r**5 + 1/7 + 81/7*r**4 - 11/7*r - g*r**3 + 46/7*r**2.
-(r - 1)**2*(3*r - 1)**3/7
Let c(l) be the third derivative of -l**7/105 - 3*l**6/40 + 23*l**5/60 + l**4 - 21*l**2. Let j(n) = -n**3 + n**2. Let s(y) = 2*c(y) - 14*j(y). Factor s(q).
-4*q*(q - 3)*(q + 2)**2
Let y = 2/467173 + 5606066/2335865. Factor 0 - 1/5*a**2 - y*a.
-a*(a + 12)/5
Let u(r) be the second derivative of 44*r**3 - 9 + 3/100*r**5 + 726/5*r**2 - 43/20*r**4 - r. Factor u(b).
3*(b - 22)**2*(b + 1)/5
Factor 37260*h**3 + 320*h + 3710*h**2 + 2450*h**2 - 426566*h**5 + 328151*h**5 + 54675*h**4.
-5*h*(h - 1)*(27*h + 4)**3
Let q(p) = -7*p**3 + 138*p**2 - 483*p + 475. Let f(b) = -3*b**3 + 68*b**2 - 242*b + 238. Let z(l) = -5*f(l) + 2*q(l). Factor z(n).
(n - 60)*(n - 2)**2
Let i(g) be the second derivative of g**6/15 - 73*g**4/6 + 24*g**3 + 2896*g. Factor i(x).
2*x*(x - 8)*(x - 1)*(x + 9)
Let r(f) = 13*f + 720. Let w be r(-55). Let l(s) be the first derivative of 3/5*s + w + 4/15*s**3 + 13/10*s**2. Factor l(k).
(k + 3)*(4*k + 1)/5
Let k(o) = -o**3 + 26*o**2 - 52*o + 100. Let i be k(24). Let p(b) be the second derivative of 0*b**2 - 1/5*b**3 + 1/20*b**i + 26*b + 0. Factor p(v).
3*v*(v - 2)/5
Determine q so that -18/13 - 6/13*q**2 - 56/13*q = 0.
-9, -1/3
Let f(y) be the second derivative of -y**6/6 - 13*y**5/4 + 335*y**4/12 - 115*y**3/6 - 255*y**2 - 56*y. What is g in f(g) = 0?
-17, -1, 2, 3
Factor -114 - 225/2*l**2 - 3/4*l**3 + 909/4*l.
-3*(l - 1)**2*(l + 152)/4
Let u(j) be the first derivative of -2/15*j**5 - 26/3*j - 87 - 4*j**2 + 28/9*j**3 + 2*j**4. Let u(y) = 0. What is y?
-1, 1, 13
Let s be 5 - (8 + (-7610)/2530). Let z = s + 751/1012. Determine l so that -15/4*l + 3*l**2 - z*l**3 + 3/2 = 0.
1, 2
Let h be (-8 + 1)*2*(-2)/4. Suppose 0 = -0*s - 5*s. Factor 2*c**3 + 5*c - h*c + s*c.
2*c*(c - 1)*(c + 1)
Let y(s) = s**3 - 16*s**2 + 30*s - 8. Let f be y(14). Suppose -3*i**3 - 21*i**2 - 3*i**4 + 1727*i - 1736*i + f*i**3 = 0. What is i?
-1/3, 0, 3
Let k(y) be the second derivative of y**4/60 + 29*y**3/30 - 31*y**2/5 - 248*y. Let k(q) = 0. What is q?
-31, 2
Let v(q) be the third derivative of 1/10*q**6 + 0 + 109/72*q**4 + 53*q - 1/2*q**3 - 28/15*q**5 - q**2. Factor v(i).
(i - 9)*(6*i - 1)**2/3
Let p = 3567 - 3565. Let j(r) be the third derivative of 0 + 1/160*r**5 + 0*r**4 + 1/960*r**6 + 9*r**p + 0*r + 0*r**3. Let j(q) = 0. What is q?
-3, 0
Let t(x) = -9*x**3 + 1512*x**2 + 3023*x + 1518. Let n(o) = 10*o**3 - 1515*o**2 - 3025*o - 1520. Let s(d) = 4*n(d) + 5*t(d). Factor s(j).
-5*(j - 302)*(j + 1)**2
Let y(g) be the first derivative of 4*g**5/5 + 58*g**4 + 1348*g**3/3 - 29232*g**2 + 254016*g + 1953. Suppose y(t) = 0. Calculate t.
-36, 7
Let v(n) = -20*n**4 - 40*n**3 - 35*n**2 - 10*n - 30. Let j(b) = 11*b**4 + 20*b**3 + 17*b**2 + 6*b + 18. Let k(o) = 5*j(o) + 3*v(o). Solve k(l) = 0 for l.
-2, 0
Find c, given that -6*c**4 + 16918*c**3 + 378*c + 647*c - 15996*c**3 - 1200 - 3324*c**2 + 2583*c = 0.
2/3, 1, 2, 150
Let i(g) be the second derivative of -g**6/810 + g**4/54 - 7*g**3/2 - g**2/2 - 25*g. Let q(l) be the second derivative of i(l). Find s, given that q(s) = 0.
-1, 1
Let d = 40 + 11. Let w = d + -52. Let r(f) = f**5 - f**4 + f + 1. Let x(u) = -3*u**5 + 4*u**4 + 2*u**3 - 4*u**2 - 3*u. Let b(j) = w*x(j) - 2*r(j). Factor b(y).
(y - 2)*(y - 1)**2*(y + 1)**2
Let z(r) be the first derivative of 2/17*r**2 - 40 - 2/51*r**3 + 6/17*r. What is d in z(d) = 0?
-1, 3
Let b(i) = -i - 46. Let o(u) = -47. Let w(n) = -3*b(n) + 4*o(n). Let q be w(20). What is y in 12 - 18*y**2 + 21*y**2 + 9*y - 14*y - q*y = 0?
1, 4
Suppose 992 - 172 = 22*z + 142*z. Let x(q) be the first derivative of -4/5*q**z - 4/3*q**2 - 13/6*q**4 - 18 - 1/9*q**6 + 0*q - 8/3*q**3. Factor x(n).
-2*n*(n + 1)**2*(n + 2)**2/3
Let l(w) be the third derivative of w**8/7560 + w**7/3780 - w**6/1620 - w**5/540 - 7*w**3/3 - 68*w**2. Let u(f) be the first derivative of l(f). Factor u(m).
2*m*(m - 1)*(m + 1)**2/9
Let o(l) be the third derivative of l**6/200 + 19*l**5/25 - 6529*l**2. Factor o(k).
3*k**2*(k + 76)/5
Let r = -392806 + 2749646/7. Find x such that -4/7*x**4 - 2/7*x**5 - 2*x - r*x**2 + 8/7 + 16/7*x**3 = 0.
-4, -1, 1
Let w(q) be the third derivative of q**6/24 - 11*q**5/12 - 5*q**4/24 + 55*q**3/6 - 1795*q**2. Suppose w(v) = 0. Calculate v.
-1, 1, 11
Let z be 128/20 - 2 - (-4)/(-10). Factor 11952*b**