 Factor c(n).
2*n**3*(n + 1)*(9*n - 2)
Let w(v) be the third derivative of -v**7/1155 - v**6/22 - 23*v**5/30 - 35*v**4/11 - 196*v**3/33 - 795*v**2. Find o such that w(o) = 0.
-14, -1
Let a(z) be the third derivative of -84*z**2 + 0*z + 25/12*z**4 + 0 + 1/12*z**5 + 0*z**3. Suppose a(u) = 0. What is u?
-10, 0
Let u(q) = 13*q**2 + 14232*q - 7254008. Let g(c) = 2*c**2 + 2033*c - 1036285. Let o(d) = 20*g(d) - 3*u(d). Factor o(x).
(x - 1018)**2
Let v(f) = -18*f**2 + 2580*f - 5033. Let a(y) = -87*y**2 + 12888*y - 25164. Let u(h) = 5*a(h) - 24*v(h). What is d in u(d) = 0?
2, 838
Let k = 59154 + -1123924/19. Factor 0*j**3 + 0 + 32/19*j + 24/19*j**2 - k*j**4.
-2*j*(j - 4)*(j + 2)**2/19
Let h(s) = 8*s**2 + 72*s + 127. Let k(l) = -2*l**2 - 18*l - 31. Let n = 227 - 221. Let r(p) = n*h(p) + 22*k(p). Suppose r(w) = 0. Calculate w.
-5, -4
Let r(f) be the second derivative of -f**4/12 - 25*f**3/6 - 57*f**2 - 1122*f. Find s such that r(s) = 0.
-19, -6
Suppose 20/3*o - 20/3*o**3 - 1/3*o**4 + 12 - 35/3*o**2 = 0. Calculate o.
-18, -2, -1, 1
Let v(w) be the third derivative of -49*w**2 + 1/90*w**5 + 1/12*w**4 + 0 - 2/9*w**3 - 1/60*w**6 + 1/315*w**7 + 0*w. What is j in v(j) = 0?
-1, 1, 2
Let o(k) be the second derivative of 5/4*k**5 + 0 + 0*k**2 - 10/3*k**3 + 5*k + 5/12*k**4. Factor o(r).
5*r*(r + 1)*(5*r - 4)
What is d in 183*d**3 + 126 + 131*d**2 - 387*d**3 - 317*d + 202*d**3 = 0?
1/2, 2, 63
Suppose -11909 + 12043 = 67*j. Determine p, given that 1/5*p**3 - 27/5*p + 0 - 26/5*p**j = 0.
-1, 0, 27
Let s = 1912395 - 36314869/19. Let g = s + -1086. Suppose 72/19 + 24/19*h + g*h**2 = 0. What is h?
-6
Let j(d) = -d**2 + d + 1. Let m(l) be the second derivative of 30*l - 3/2*l**3 - 1/2*l**2 + 7/10*l**5 + 0 + 25/12*l**4. Let o(y) = j(y) + m(y). Factor o(z).
2*z*(z + 2)*(7*z - 2)
Let h(m) = -m - m - 1 + 5*m**2 + m + 0*m**2 + 5*m**3. Let a be h(-1). Suppose 1/3*f**3 + 0 + 0*f + a*f**2 = 0. What is f?
0
Let b(t) be the second derivative of t**6/45 - t**5/3 - 23*t**4/18 - 4*t**3/3 - 3682*t. What is l in b(l) = 0?
-1, 0, 12
Let l(s) = -35*s + 2485. Let d be l(71). Suppose 1 = -a + 3. What is j in 24 - 12*j + 3*j**2 - 8*j + d*j**2 + j**a = 0?
2, 3
Let a(m) be the third derivative of 1/8*m**4 - 1/60*m**5 + 1/3*m**3 - 3*m**2 + 0*m - 1/210*m**7 - 1/40*m**6 - 78. Find l, given that a(l) = 0.
-2, -1, 1
Let p(s) = -8*s**2 - 20*s + 24. Let f(d) = -17*d**2 - 42*d + 48. Let y(x) = -x**2 + 10*x - 22. Let o be y(9). Let r(z) = o*p(z) + 6*f(z). Factor r(v).
2*(v - 2)*(v + 6)
Let x(p) be the first derivative of 4/3*p**3 + 4*p - 1/6*p**4 - 219 - 11/3*p**2. Factor x(i).
-2*(i - 3)*(i - 2)*(i - 1)/3
Suppose 5*n = 4*o + 135, 56*o - 59*o + 54 = 3*n. Suppose 3 = 13*u - n. Factor -2/3 - 4/3*y - 2/3*y**u.
-2*(y + 1)**2/3
Let q(a) be the third derivative of -a**8/840 + a**7/21 - 23*a**6/300 - a**5/6 + 2*a**4/5 - 1478*a**2 - 1. Let q(h) = 0. Calculate h.
-1, 0, 1, 24
Let b(f) = f**5 + 23*f**4 - 53*f**3 - 59*f**2 + 256*f - 197. Let a(i) = 12*i**4 - 26*i**3 - 30*i**2 + 128*i - 98. Let v(p) = -5*a(p) + 2*b(p). Factor v(k).
2*(k - 3)*(k - 2)**3*(k + 2)
Let p(u) be the first derivative of -3*u**5/5 - 51*u**4 - 66*u**3 + 102*u**2 + 201*u - 1418. Factor p(v).
-3*(v - 1)*(v + 1)**2*(v + 67)
Suppose 2384 + 609 = 41*j. Factor -72*o - 135*o**2 - 5 - 8*o**3 - 5 - 2 - j*o**3.
-3*(3*o + 1)*(3*o + 2)**2
Let p(y) be the second derivative of y**4/12 + 17*y**3/2 + 25*y**2 + 2*y + 454. Factor p(x).
(x + 1)*(x + 50)
Let r(y) = y**3 + y**2 + y + 1. Let p(u) = 4*u**3 + 2*u**2 + 18*u + 20. Let n(q) = -2*p(q) + 10*r(q). Factor n(j).
2*(j - 3)*(j + 1)*(j + 5)
Let g(y) = y**2 - 1339*y + 2676. Let o be g(2). Let 2/13*b**o + 0 - 2/13*b = 0. Calculate b.
0, 1
Let t = -503 + 527. What is s in 822*s**4 - 407*s**4 - 411*s**4 + 20*s**2 + 28*s**3 - t - 28*s = 0?
-6, -1, 1
Find u, given that -2/9*u**2 - 410/9*u - 404/3 = 0.
-202, -3
Let j(z) be the first derivative of -3*z**5/5 + 19*z**4/4 - 7*z**3 + 5*z**2/2 - 706. Factor j(n).
-n*(n - 5)*(n - 1)*(3*n - 1)
Let z = -584184 + 584186. Find l, given that -24/5*l**z - 2/5*l**4 + 16/5*l**3 - 64/5*l + 128/5 = 0.
-2, 2, 4
Let k(o) be the third derivative of o**5/120 - 16*o**3/3 + 2*o**2 - 259*o - 1. Factor k(v).
(v - 8)*(v + 8)/2
Let 2217/4*s - 3/2 - 2211/4*s**2 = 0. Calculate s.
2/737, 1
Suppose 559/2*u + 280 - 1/2*u**2 = 0. Calculate u.
-1, 560
Let w = 2678/13865 + 19/2773. What is y in -w*y**4 + y**2 + 0 - 3/5*y - 1/5*y**3 = 0?
-3, 0, 1
Let d = 6/31 + 305/186. Suppose 0 + d*w**3 - 10/3*w + 7/6*w**2 + 1/3*w**4 = 0. Calculate w.
-4, -5/2, 0, 1
Let l(g) be the first derivative of 0*g - 1/24*g**6 - 19/2*g**2 + 1/6*g**5 + 0*g**3 + 5/8*g**4 - 5. Let r(p) be the second derivative of l(p). Solve r(d) = 0.
-1, 0, 3
Let r be 31 + 28/(-1 - 6). Suppose 3*w + 38 - 111*w**2 + 73 + 83*w**3 - 28*w**3 - 31*w**3 - r*w**3 = 0. What is w?
-37, -1, 1
Let m(l) = 1533*l**3 + 28939*l**2 - 4312*l + 155. Let b(o) = -774*o**3 - 14469*o**2 + 2156*o - 77. Let s(h) = -15*b(h) - 9*m(h). Suppose s(a) = 0. What is a?
-20, 2/27
Let i(u) = u**2 + 17*u + 73. Let y be i(-7). Factor -406*a**2 + 21*a**y + 4*a + 421*a**2 - 10*a.
3*a*(a + 1)*(7*a - 2)
Let u(k) be the first derivative of 0*k - 52/15*k**3 - 169/5*k**2 - 1/10*k**4 + 24. Solve u(s) = 0 for s.
-13, 0
Let h(q) be the second derivative of 1/3*q**5 + 20 - 2*q - 5/2*q**3 + 5/12*q**4 + 5/3*q**2. Determine b, given that h(b) = 0.
-2, 1/4, 1
Let d(s) be the third derivative of s**7/630 + 17*s**6/45 + 2243*s**5/90 - 391*s**4/3 + 529*s**3/2 - 1438*s**2. Factor d(t).
(t - 1)**2*(t + 69)**2/3
Let f(x) be the third derivative of x**5/30 + 223*x**4/12 + 3065*x**2. Factor f(p).
2*p*(p + 223)
Let u(c) be the third derivative of c**5/150 - 20*c**4/3 + 8000*c**3/3 + 97*c**2 - 2*c. Factor u(b).
2*(b - 200)**2/5
Let x be (-3730)/(-705) - (-8)/188. Let r(o) be the first derivative of -5*o**2 + 8/3*o**4 + 5 - x*o**3 - 4/3*o. Let r(j) = 0. What is j?
-1/4, 2
Let 19/7*p**2 - 11/7*p**4 + 1/7*p**3 - 6/7*p + 0 - 3/7*p**5 = 0. What is p?
-3, -2, 0, 1/3, 1
Let g(q) = 8*q**3 + 144*q**2 - 636*q - 656. Let n(c) = 9*c**3 + 175*c**2 - 634*c - 655. Let u(j) = -5*g(j) + 4*n(j). What is w in u(w) = 0?
-15, -1, 11
Find j such that -97/3*j**3 - 5/3*j**5 - 192 - 56/3*j**4 + 326/3*j**2 + 184*j = 0.
-8, -3, 4/5, 2
Factor -13230*x + 0 - 2/15*x**3 - 84*x**2.
-2*x*(x + 315)**2/15
Let x(i) = -7*i**2 + 9*i - 8. Let p = -96 + 102. Let f = -27 + 16. Let g(y) = -13*y**2 + 17*y - 15. Let m(c) = f*x(c) + p*g(c). Factor m(j).
-(j - 2)*(j - 1)
Let v = 2008 + -2008. Let l(h) be the second derivative of 2*h**3 + 1/4*h**4 + 2*h**2 + 7*h - 1/4*h**5 + v. Factor l(t).
-(t - 2)*(t + 1)*(5*t + 2)
Let n(x) be the first derivative of -x**3/12 + 27*x**2/8 - 13*x/2 - 449. Factor n(y).
-(y - 26)*(y - 1)/4
Let z be ((-154)/10 + (-14)/(-35))/(-1). Let f(t) = z + 9 + 3*t**2 + 4 - 16 + 17*t. Let y(c) = 3*c**2 + 18*c + 12. Let v(q) = -3*f(q) + 2*y(q). Factor v(n).
-3*(n + 1)*(n + 4)
Factor 219 - 2490*l**2 - 217*l**3 - 259 - 1018*l**3 + 365*l - 205*l**4 - 2065*l.
-5*(l + 2)**3*(41*l + 1)
Solve 10/7*f**2 + 116/7*f + 258/7 = 0 for f.
-43/5, -3
Let r(z) = z + 20. Let o be r(2). Factor -2*b**2 + 21*b**5 + 2*b**4 - o*b**5 + 0*b**4 + b**3.
-b**2*(b - 2)*(b - 1)*(b + 1)
Suppose 51*o - 40 = 41*o. Factor -55326 + 55070 - o*l**2 + 0*l - 64*l.
-4*(l + 8)**2
Let o = -70 + 73. Find v, given that -81 + 2*v**o - 36*v + 2*v**4 + 81 - 6*v**2 + 6*v**3 = 0.
-3, 0, 2
Let p(h) = h**2 - 64*h + 964. Let u be p(24). Let i(g) be the first derivative of -14 + 1/26*g**u - 4/13*g - 3/13*g**2 + 0*g**3. Factor i(n).
2*(n - 2)*(n + 1)**2/13
Suppose -k = -2*x - 16, 0*k + x = -5*k + 69. Let o = -1 + 3. Let 2 + 11*t**2 - 2*t + k*t + 4*t**3 + t**o + 2 = 0. What is t?
-1
Let h = 87 - -59. Let k be 2/3 + (-20)/(-6). Factor -3*u**k - h*u**5 + 2*u**4 + 10*u**3 + 141*u**5 + 6*u**4.
-5*u**3*(u - 2)*(u + 1)
Let g be (12032/10904)/((-6)/(-232)). Factor -g*b**2 - 32*b**3 - 1/3*b**5 - 6*b**4 + 0 + 0*b.
-b**2*(b + 2)*(b + 8)**2/3
Let j(c) = c**2 + 72*c - 648. Let g(p) = -2*p**2 - 216*p + 1944. Let k(o) = o**3 + 3*o**2 + 7*o + 13. Let x be k(-3). Let z(q) = x*j(q) - 3*g(q). Factor z(t).
-2*(t - 18)**2
Find i, given that 49/5*i**3 - 756/5*i**2 - 64/5 - 444/5*i = 0.
-2/7, 16
Let y(v) be the second derivative of -v**6/180 + 13*v**5/120 + 8*v**4/9 + 17*v**3/9 + 427*v - 2. Let y(w) = 0