1. Factor g + 2*g**4 + 8*g**3 + g**3 + g**5 - n*g**2 + 2 + 0 - y*g**3.
(g - 1)**2*(g + 1)**2*(g + 2)
Let o be (14 - 10)*6/8. Let v be 5 + (o - (-16)/(-4)). Solve 3*t**3 - 35*t + v*t**3 - 7*t**3 + 5*t**3 + 30 = 0.
-3, 1, 2
Let y(l) = l**3 + 37*l**2 + 35*l + 47. Let j be y(-36). Let a be j/20 - 252/180. Suppose a*k**2 - 1/2*k + 0 = 0. What is k?
0, 2/11
Let a = -127 - -142. Factor -36 - a + 65 - 13*q - q**2.
-(q - 1)*(q + 14)
Suppose -2/7*t**4 + 92/7*t**2 + 624/7 - 22/7*t**3 + 568/7*t = 0. What is t?
-13, -2, 6
Let r = 714 - 712. Find i, given that 2 - 2*i**r - 74 - 17 + 28*i - 17 + 16 = 0.
5, 9
Let b(x) be the second derivative of x**7/840 - 11*x**6/80 - 17*x**5/20 + 4*x**4 + x**2 - 70*x. Let v(s) be the third derivative of b(s). Factor v(w).
3*(w - 34)*(w + 1)
Let q(j) be the third derivative of -j**6/360 - 3*j**5/40 - j**4/3 + 151*j**3/6 + 2*j**2 + 89*j. Let a(g) be the first derivative of q(g). Factor a(l).
-(l + 1)*(l + 8)
Let v(w) = 2*w**2 + 29471*w - 206395. Let t be v(7). Factor 40/3*c**2 - 28*c + t - 4/3*c**3.
-4*c*(c - 7)*(c - 3)/3
Suppose 12*m - 11*m = -29. Let l = m - -35. Factor -a**2 + 0 + l*a - 5 + 0.
-(a - 5)*(a - 1)
Find a, given that 243*a**4 + 3314*a + 903*a**2 - 174*a**3 - 300*a**4 - 36 - 3950*a = 0.
-6, -1/19, 1, 2
Let l(r) = 1235*r - 7408. Let t be l(6). Let a(i) be the first derivative of -5/3*i**3 - 31 - 20*i**t + 45*i. Determine h so that a(h) = 0.
-9, 1
Let p(d) = d**4 - 2*d**3 + d**2 + 3*d + 1. Let u(x) = 60*x**4 + 1215*x**3 + 2770*x**2 + 1550*x + 65. Let r(i) = 65*p(i) - u(i). Find g, given that r(g) = 0.
-1, 0, 271
Factor -6207 - 844*a + 220*a**2 + 2459 + 2409 + 2019 + 16*a**3.
4*(a - 2)*(a + 17)*(4*a - 5)
Let p(w) be the third derivative of -w**5/20 - 22*w**4 - 174*w**3 + 834*w**2. Factor p(f).
-3*(f + 2)*(f + 174)
Let y(q) = -6840*q - 177840. Let l be y(-26). Let s be (-78)/(-28) + (-4)/14. Solve -s*o**2 + l + 3*o + 1/2*o**3 = 0.
0, 2, 3
Factor 14 + 85/2*q**2 + 52*q.
(5*q + 2)*(17*q + 14)/2
Let v(q) be the first derivative of 0*q**3 + 0*q - 2/3*q**6 + q**4 + 126 + 0*q**5 + 0*q**2. Let v(h) = 0. Calculate h.
-1, 0, 1
Let q(k) = k**3 - 51*k**2 - 62*k + 108. Let n(b) = -4*b**3 + 203*b**2 + 251*b - 432. Let h(r) = -2*n(r) - 9*q(r). Factor h(m).
-(m - 54)*(m - 1)*(m + 2)
Let y(n) be the third derivative of n**7/1260 + 11*n**6/720 + 19*n**5/360 + n**4/16 - 37*n**2 - 16. Let y(p) = 0. What is p?
-9, -1, 0
Let v(c) be the third derivative of -2*c**7/315 + 4*c**6/45 + 43*c**5/45 + 29*c**4/9 + 16*c**3/3 - 2766*c**2. Solve v(t) = 0 for t.
-2, -1, 12
Let d be -20*2*(-16)/80*2. Let p(z) be the second derivative of 1444*z**4 + d*z**2 + 7*z + 0 + 608/3*z**3 + 130321/15*z**6 + 27436/5*z**5. Factor p(n).
2*(19*n + 2)**4
Let u(j) = -j**2 + 15*j - 3. Let o be u(10). Suppose -a - o = -47. Determine v, given that a*v - 107*v**4 - 67*v**3 + 44*v**4 + 4*v = 0.
-1, -2/7, 0, 2/9
Let x(o) = -25*o**2 + 53*o + 17. Let q be x(6). Let p = -562 - q. Determine b, given that 6*b + 2*b**4 - 4/3 - 2/3*b**p - 6*b**2 = 0.
-2, 1/3, 1
Let f(g) be the first derivative of 0*g + 30*g**2 + 55/3*g**3 - 5/4*g**4 - 45. Factor f(v).
-5*v*(v - 12)*(v + 1)
Let n = 2992501/105 + -28500. Let v(i) be the third derivative of -n*i**5 - 2*i + 1/6*i**4 + 18*i**2 + 0 + 0*i**3. Solve v(p) = 0.
0, 7
Suppose -309 = -2*a - 211. What is d in 207*d + 20*d**3 + 99*d**2 - 15*d + d**4 + a*d**2 + 288*d + 576 = 0?
-6, -4
Solve -129*c**3 - 939/7*c + 1443/7*c**2 + 30 + 183/7*c**4 + 6/7*c**5 = 0 for c.
-35, 1/2, 1, 2
Let z(k) be the first derivative of -k**5/40 + k**4/2 + 60*k**3 + 1296*k**2 + 11232*k - 7765. Solve z(m) = 0 for m.
-12, 52
Suppose -2*s + 5*d + 20 = 0, 3*d = s - 4 - 7. Suppose -t = s*b + 5, 35*t + 15 = 5*b + 32*t. Factor -1/4*q**4 + 0 + 0*q**3 + 1/4*q**2 + b*q.
-q**2*(q - 1)*(q + 1)/4
Let b = -4/47361 + 63152/47361. Find a, given that -2/9*a**3 + b*a - 10/9*a**2 + 0 = 0.
-6, 0, 1
Let t(c) = -13*c**2 + 518*c + 495. Let m(w) = w**2 - 2*w + 1. Let g(y) = 9*m(y) + t(y). Solve g(q) = 0.
-1, 126
Let c(d) be the third derivative of d**5/420 - 373*d**4/168 + 2*d**2 + 16*d. Determine p, given that c(p) = 0.
0, 373
Let l(g) be the second derivative of g**4/66 - 25*g**3/33 + 84*g**2/11 - 163*g - 12. Factor l(q).
2*(q - 21)*(q - 4)/11
Let q = 338018/21 - 16096. Let s(g) be the first derivative of -21 - q*g**3 - 200/7*g - 20/7*g**2. Determine j, given that s(j) = 0.
-10
Let n = -200367/4 - -50092. Factor -121 + 11*o - n*o**2.
-(o - 22)**2/4
Factor 5*l**4 - 25*l**3 + 100*l**3 - 360*l**2 + 139*l + 6*l**4 + 241*l - 6*l**4.
5*l*(l - 2)**2*(l + 19)
Let k = -8783 + 8794. Let d(j) be the first derivative of 18 + 256*j - k*j**4 - 48*j**3 - 32*j**2 - 4/5*j**5. Find f, given that d(f) = 0.
-4, 1
Let b(a) = 65*a**3 - 885*a**2 + 52275*a - 1026745. Let v(d) = 2*d**3 + 2*d + 5. Let o(c) = b(c) - 30*v(c). Let o(u) = 0. Calculate u.
59
Let q = 345940 - 345938. Determine l so that -6/11*l**3 + 2/11*l**5 + 2/11*l**4 + 0 - 4/11*l - 10/11*l**q = 0.
-1, 0, 2
Let l(z) = -4*z**2 - 199*z - 16. Let w(m) = -6*m**2 - 198*m - 24. Let q(i) = -3*l(i) + 4*w(i). Solve q(y) = 0.
-16, -1/4
Let y(z) be the third derivative of 0 + 49/3*z**3 + 7/6*z**4 + 2*z + 1/30*z**5 - 2*z**2. Factor y(l).
2*(l + 7)**2
Let t = -357131/5 + 71427. Factor -26/15*n**2 - 2/15*n**4 - t*n + 0 - 16/15*n**3.
-2*n*(n + 1)**2*(n + 6)/15
Let j(w) be the second derivative of 2*w**6/75 - 34*w**5/25 - 37*w**4/5 - 8*w**3/15 + 296*w**2/5 + 718*w. Solve j(d) = 0.
-2, 1, 37
Let y = 51742 - 51742. Factor 16/7*a**2 + 12/7*a**4 - 24/7*a**3 - 2/7*a**5 + 0*a + y.
-2*a**2*(a - 2)**3/7
Suppose s - 36 = 6*l - l, 9*s = -2*l + 42. Let r(d) be the third derivative of 0 + 0*d - 1/30*d**s - 1/5*d**5 + 12*d**2 + 8/3*d**3 + 0*d**4. Solve r(x) = 0.
-2, 1
Let r be -2 - ((-16)/(-20))/((-8)/20). Suppose -25*k - 4*p + 1 = -22*k, -4*k + 2*p + 16 = 0. Factor -c**k - 2/5*c + r + 7/5*c**2.
-c*(c - 1)*(5*c - 2)/5
Find p such that 1225 + 695 - 956*p - 5*p**2 + 6*p = 0.
-192, 2
Let q(c) be the third derivative of -1/2*c**3 + 0*c**4 - 3*c + 1/20*c**5 + 9*c**2 + 0. Let q(k) = 0. What is k?
-1, 1
Let 38/7*c**4 + 0*c + 2/7*c**5 + 20*c**3 + 0 + 0*c**2 = 0. What is c?
-14, -5, 0
Let f(d) be the third derivative of -d**8/20160 - d**7/1260 - d**6/432 + 9*d**4/8 - 26*d**2. Let a(p) be the second derivative of f(p). Factor a(s).
-s*(s + 1)*(s + 5)/3
Suppose -70*d = -66*d - 72. Let 2*j**5 - 2*j**4 + 6*j**3 + 16*j**2 - d*j**2 - 4*j**4 = 0. Calculate j.
0, 1
Let k(v) = 7*v**2 - 3. Let f(d) = 3*d**2 - 1. Let u(s) = -5*f(s) + 2*k(s). Let b(c) = -4*c**2 - 3*c - 5. Let q(a) = -b(a) + 5*u(a). Factor q(j).
-j*(j - 3)
Suppose -6*w + 7*w = 66. Let j = -60 + w. Factor 0*m**2 + j*m**3 + 4*m**2 - m**3 + m**2.
5*m**2*(m + 1)
Suppose 4*t - 24 = -3*a - 15, 6*a - 18 = 4*t. Suppose 1 = 4*n + 3*b, -5*n - 5*b + 0 - 5 = 0. Suppose 1/3*s**n + s**3 + 0*s**2 + 0*s + t = 0. What is s?
-3, 0
Let 9*m**4 - 4029*m**2 - 3*m - 75*m**3 + 3651*m**2 - 246*m + 33*m = 0. What is m?
-3, -2/3, 0, 12
Let j(t) be the first derivative of -6*t - t - 16*t**5 - 12*t**4 - 47*t**5 + 24*t**2 + 17 - 5*t + 109*t**3. Find r, given that j(r) = 0.
-1, -2/7, 2/15, 1
Solve 4/3*i**2 - 1/3*i**5 + 0*i + 0 + 0*i**3 - i**4 = 0 for i.
-2, 0, 1
Let m(v) = v**4 - v**3 + v + 2. Let d(s) = -5*s**5 - 59*s**4 - 56*s**3 + 860*s**2 + 2366*s + 1772. Let a(k) = -d(k) + 6*m(k). Factor a(u).
5*(u - 4)*(u + 2)**3*(u + 11)
Let p be (102/(-204))/((-24)/6 - 46/(-12)). Factor p*b + 1/3*b**5 - 2/3*b**3 + 4/3*b**4 - 4*b**2 + 0.
b*(b - 1)**2*(b + 3)**2/3
Let q(d) = d - 13. Let s be q(36). Determine z, given that -5*z**2 - 83*z - 39*z - 140 - s*z = 0.
-28, -1
Factor -665*o - 140*o - 972 + 2*o**2 + 21*o + 2*o**2 - 4712.
4*(o - 203)*(o + 7)
Let g(f) be the first derivative of -236 - 3/4*f**4 - 11*f**3 - 117/2*f**2 - 135*f. Let g(a) = 0. What is a?
-5, -3
Let i(f) = 7*f**3 - 490*f**2 - 19656*f + 63509. Let v(o) = 5*o**3 - 491*o**2 - 19656*o + 63508. Let a(b) = -4*i(b) + 5*v(b). Find u such that a(u) = 0.
-84, 3
Let c(w) = -8*w**2 - 337*w - 632. Let n(a) = 39*a**2 + 1683*a + 3162. Let g(i) = 24*c(i) + 5*n(i). What is y in g(y) = 0?
-107, -2
Let s be (1 + 1/3)*3 + (-10 - -8). Let t(a) be the third derivative of -2/21*a**7 + 0*a + 7/12*a**5 + 5/12*a**4 + 0*a**3 + 0 - 5/24*a**6 + 23*a**s. Factor t(m).
-5*m*(m - 1)*(m + 2)*(4*m + 1)
Let v(g) = 4*g**2 + 16*g + 15. Let h b