 + 236*q**3/9 - 64*q**2/3 + 481*q. Factor g(t).
2*(t + 4)*(t + 16)*(4*t - 1)/3
Factor 14 + 56 + 80*a + 44 - 36 + 2*a**2.
2*(a + 1)*(a + 39)
Let d(a) be the second derivative of -3*a**5/40 - 149*a**4/8 - 5475*a**3/4 + 16875*a**2/4 - 44*a - 5. Determine k so that d(k) = 0.
-75, 1
Let k be (3 + (-162)/50)*12636/130*-25. Find w, given that 52488/5*w + 72/5*w**3 + 2/15*w**4 + k*w**2 + 354294/5 = 0.
-27
Let j(c) = 3*c**3 + 41*c**2 - 10*c + 58. Suppose 3*u + 5*k + 27 = 0, -2*k - 6 = -12. Let g be j(u). Factor 0 - 2*b + g*b**3 + 2/3*b**2 - 2/3*b**4.
-2*b*(b - 3)*(b - 1)*(b + 1)/3
Suppose 144 - 22 = 111*x - 59 - 41. Factor 3/2*k - 5/2*k**x - 3/2*k**3 + 1/2*k**4 + 2.
(k - 4)*(k - 1)*(k + 1)**2/2
Let n(p) = -p**2 + 31*p + 52. Let b(x) = -2*x**2 + 92*x + 149. Let f(k) = -k**2 - 25*k - 115. Let s be f(-7). Let d(w) = s*n(w) - 4*b(w). Factor d(h).
-3*(h + 1)*(h + 8)
Let u = -53102 - -53102. Factor 8/7*k - 1/7*k**2 + u.
-k*(k - 8)/7
Let k(g) = -2*g**2 - 868*g + 6. Let p(o) = -2*o**2 - 867*o + 5. Let i(r) = -5*k(r) + 6*p(r). Factor i(f).
-2*f*(f + 431)
Let n(y) = 29*y - 24. Let r be n(14). Solve 42*o**2 - 7*o**3 - r - 4*o**3 - 396*o + 10*o**3 - 586 = 0.
-2, 22
Suppose -28*z - 6*z - 11*z = 74*z - 21*z. Factor z - 10/11*x + 12/11*x**2 - 2/11*x**3.
-2*x*(x - 5)*(x - 1)/11
Let c(u) = 43*u + 817. Suppose -520*b + 228 = -532*b. Let d be c(b). Factor d - 1/2*t**4 - 3/2*t**3 - 1/2*t - 3/2*t**2.
-t*(t + 1)**3/2
Let c(f) = 3*f**3 + 4*f**2 + f. Let r(p) = 22*p**3 + 8*p**2 - 262*p + 280. Let b(l) = -6*c(l) + r(l). Solve b(d) = 0 for d.
-7, 1, 10
Let j(t) be the third derivative of 1/3*t**3 + 1/140*t**7 + 0*t**4 + 52*t**2 - 1/240*t**6 + 0 + 1/672*t**8 + t - 7/120*t**5. What is w in j(w) = 0?
-2, -1, 1
Let c = 4343 + -4341. Let a(j) be the second derivative of 8/21*j**3 + 1/21*j**4 - 10/7*j**c + 0 - 18*j. Factor a(v).
4*(v - 1)*(v + 5)/7
Suppose -6*f - 15*f = -63. Solve -266*n + 86*n - 35*n**3 + 95*n**3 - 34*n**3 + 42*n**2 - 29*n**f + 216 = 0.
2, 6
Let u(s) be the first derivative of -42 - 4/3*s**3 + 96*s**2 - 2304*s. Factor u(o).
-4*(o - 24)**2
Let v(m) be the third derivative of -m**6/60 + 9*m**5 - 1496*m**4 - 36992*m**3/3 + 16*m**2 + 37*m. Factor v(t).
-2*(t - 136)**2*(t + 2)
Let z(d) = 103*d**2 - 64*d - 392. Let w(h) = -283*h**2 + 194*h + 1177. Let f(x) = -4*w(x) - 11*z(x). Factor f(y).
-(y + 6)*(y + 66)
Let t(s) = 3*s**2 - 17*s - 47. Let x be t(8). Suppose -x*a - 322 + 340 = 0. Factor 2*o**a + 0 - 4/3*o + 0*o**3 - 2/3*o**4.
-2*o*(o - 1)**2*(o + 2)/3
Let i(c) = -178*c + 16379. Let o be i(92). Solve -2/5*v**2 - v + 1/5*v**o + 6/5 = 0.
-2, 1, 3
Factor 1/3*p**5 + 15*p**2 - 1/3*p**4 - 29/3*p**3 + 72*p - 144.
(p - 3)**3*(p + 4)**2/3
Let v = -83 + 111. Suppose -4*m - 3*m = -v. Factor -12*h**3 + 4*h**2 + 64 + 2*h**3 + 96*h + 4*h**m - 13*h**3 - h**3.
4*(h - 4)**2*(h + 1)**2
Let n(g) be the third derivative of -g**8/40320 - 11*g**7/10080 + 43*g**5/12 - 195*g**2. Let y(c) be the third derivative of n(c). Find b, given that y(b) = 0.
-11, 0
Let d(u) = 12*u**3 - 4652*u**2 - 1406576*u + 1411344. Let a(k) = -k**3 - 6*k**2 - k. Let n(o) = 16*a(o) + d(o). What is j in n(j) = 0?
-594, 1
Suppose 0 = 5*b - 4*b - 33. Suppose p + 5*d = -2*p + b, -p = 3*d - 15. Factor 10*w - 3*w**4 - 3 + p*w**2 - 3*w**4 - 7*w + 3*w**4 + 3*w**5 - 6*w**3.
3*(w - 1)**3*(w + 1)**2
Let a(c) be the second derivative of -c**5/360 - c**4/18 - 7*c**3/36 + 13*c**2/2 - 78*c. Let w(m) be the first derivative of a(m). Factor w(o).
-(o + 1)*(o + 7)/6
Let m = -15111 + 15114. Let l(c) be the first derivative of 43 - 1/15*c**m - 144/5*c + 12/5*c**2. Find x, given that l(x) = 0.
12
Solve -1/2 - 59/6*r + 3*r**4 - 17/6*r**3 - 91/6*r**2 = 0.
-1, -1/18, 3
Let k(s) be the third derivative of s**8/5040 + s**7/420 - s**6/18 - 9*s**5/20 + s**4/24 + 38*s**2. Let m(c) be the third derivative of k(c). Factor m(l).
4*(l - 2)*(l + 5)
Let y(k) = k**3 + 485*k**2 - 4444*k + 991. Let r be y(-494). Factor -12/11 - 2*t + 4/11*t**r + 6/11*t**2.
2*(t - 2)*(t + 3)*(2*t + 1)/11
Let y(c) be the second derivative of c**5/4 - 505*c**4/12 - 5*c**3/6 + 505*c**2/2 - 3423*c. Solve y(z) = 0.
-1, 1, 101
Let d(c) be the second derivative of c**5/20 - 7*c**4/6 - 165*c**3/2 - 1296*c**2 + 9008*c. Determine a so that d(a) = 0.
-9, 32
Let s(w) be the second derivative of -w**7/1680 - 13*w**6/480 - 11*w**5/40 - 119*w**4/12 - 24*w + 2. Let t(d) be the third derivative of s(d). Factor t(y).
-3*(y + 2)*(y + 11)/2
Let o(k) be the second derivative of -9*k**6/80 - 3*k**5/8 + 7*k**4/96 + 3*k**3/4 - k**2/4 + 7*k + 16. Solve o(f) = 0 for f.
-2, -1, 1/9, 2/3
Factor -234/7*k**2 + 0 - 68*k + 2/7*k**3.
2*k*(k - 119)*(k + 2)/7
Let f(z) = z**2 - 22*z + 156. Let a(o) = -15*o**2 + 310*o - 2190. Let k(i) = -6*a(i) - 85*f(i). Solve k(s) = 0.
-6, 4
Let b = 20 + -84/5. Let s(x) be the first derivative of -b*x**5 - 4*x**2 - 4*x + 4*x**3 + 4*x**4 - 20. Factor s(g).
-4*(g - 1)**2*(2*g + 1)**2
Let w = -810 + 720. Let c be (3 - (-28)/(-10))*(-225)/w. Factor 0 + c*v**2 + 1/4*v**3 + 1/4*v.
v*(v + 1)**2/4
Let q(i) be the third derivative of 0 - 7/24*i**4 + 1/60*i**5 + 0*i + 0*i**3 + 104*i**2. Determine z, given that q(z) = 0.
0, 7
Let f be (-3496)/(-1656)*(-3)/(-38). Factor -1 - f*s**3 - 11/6*s - s**2.
-(s + 1)*(s + 2)*(s + 3)/6
Let g(v) be the first derivative of v**4/10 - 56*v**3/15 - 59*v**2/5 - 12*v - 198. Let g(w) = 0. What is w?
-1, 30
What is d in 961*d**2 - 499768 + 457*d**2 - 483*d**2 + 5*d**3 + 500693 + 1855*d = 0?
-185, -1
Let x = 627 + -615. Factor 3*g - 12 - 23*g + 7*g**2 - x*g**2 + 37.
-5*(g - 1)*(g + 5)
Let z be (-24745)/(-1515) + 32/(-2). What is m in 5/3*m + z*m**2 + 2 = 0?
-3, -2
Let m(x) be the third derivative of -x**6/180 + 23*x**5/30 - 50*x**4/9 + 44*x**3/3 + 3*x**2 + 80*x. Find y such that m(y) = 0.
1, 2, 66
Let s(k) be the second derivative of -7/2*k**2 - 5/4*k**4 - 25/6*k**3 - 1/12*k**5 + 10*k + 0. Let j(w) be the first derivative of s(w). Factor j(z).
-5*(z + 1)*(z + 5)
Let i = -8608 + 8625. Let n(s) be the first derivative of -24/7*s + 34/7*s**2 - 20/21*s**3 - i. Suppose n(u) = 0. Calculate u.
2/5, 3
Let o(c) = 2*c**2 + c - 2. Let a(n) = -22*n - 24. Let k be 5/10 - 2/(-4). Let d(x) = k*a(x) - 2*o(x). Factor d(v).
-4*(v + 1)*(v + 5)
Let 0 + 2*k**2 - 11/2*k**4 - 8*k**3 + 9/2*k**5 + 0*k = 0. What is k?
-1, 0, 2/9, 2
Factor -668/7*s + 1352/7 - 4/7*s**2.
-4*(s - 2)*(s + 169)/7
Let u(y) = -3*y**2 - 249*y + 288. Let h(s) = -9*s**2 - 746*s + 857. Let a(n) = 6*h(n) - 17*u(n). Find w such that a(w) = 0.
-82, 1
Let o = -167159 + 167163. Let 75/8*y + 9/4 - 125/8*y**3 - 77/4*y**2 - 11/4*y**o = 0. What is y?
-3, -2/11, 1/2
Let i = -283 - -286. Let k + 3*k - 13*k**3 + 27*k**2 - i*k - 27 - 12*k**3 + 24*k**3 = 0. What is k?
-1, 1, 27
Let l = 5406/11 - 53939/110. Let p(w) be the second derivative of l*w**5 + 0*w**2 - 45*w + 0 - 8/3*w**4 - 4/3*w**3 + 3/5*w**6. Solve p(h) = 0 for h.
-2, -2/9, 0, 1
Suppose -30 - 18*u - 33*u + u**2 + 171 - 12*u + 13*u = 0. Calculate u.
3, 47
Let h(u) = -440*u**3 + 545*u**2 + 5335*u + 7220. Let p(w) = -21*w**3 + 26*w**2 + 254*w + 344. Let j(c) = 6*h(c) - 125*p(c). Factor j(z).
-5*(z + 2)**2*(3*z - 16)
Let q = -20842 + 20846. Factor 4/5 + 3*p**2 - 7/5*p**3 - 13/5*p + 1/5*p**q.
(p - 4)*(p - 1)**3/5
Factor -10*d - 27 - 1/3*d**2.
-(d + 3)*(d + 27)/3
Factor 184 - 2*i**4 - 56 + 24*i**2 + 58*i - 2*i**3 - 53*i + 123*i - 6*i**3.
-2*(i - 4)*(i + 2)**2*(i + 4)
Let a(m) be the first derivative of 5*m**2 - 1/8*m**4 + 0*m + 4 - 1/10*m**5 + m**3 + 1/40*m**6. Let o(q) be the second derivative of a(q). Factor o(s).
3*(s - 2)*(s - 1)*(s + 1)
Suppose 3*q + 11857*a - 11845*a - 138 = 0, -2*q + a = 7. Factor 147/5*f + 3/5*f**q + 144/5.
3*(f + 1)*(f + 48)/5
Let a(z) be the first derivative of 4*z**3/15 + 72*z**2/5 + 1296*z/5 - 101. Find y such that a(y) = 0.
-18
Let a(d) be the second derivative of -1/96*d**4 + 1/2*d**2 + 0 + 19*d + 7/48*d**3. Factor a(o).
-(o - 8)*(o + 1)/8
Let f(i) = 4*i**3 + 56*i**2 - 192*i + 16. Let w(j) = -4*j**3 - 55*j**2 + 192*j - 12. Let g(b) = -3*f(b) - 4*w(b). Factor g(m).
4*m*(m - 3)*(m + 16)
Let i(f) = -22*f - 42. Let m be i(-2). Determine h, given that 19*h**2 - 70*h**3 + 25*h**m - 5*h**4 - 36*h**2 + 560*h - 320 - 173*h**2 = 0.
-8, 1
Let a(d) = 39*d**2 - 15*d - 118. Let p(y) = 19*y**2 + 2*y + 1. Let k(h) = a(h) - 2*p(h). Factor k(g).
(g - 24