/8*p**5 = 0.
-2, -1, 0, 3/5, 1
Let p be (-4)/(-2) - 12/(-2). Let t be 22/p - (-2)/(-8)*-1. Factor -6*x + 8*x**3 + t*x**2 - 2*x**4 - 2*x**3 - x**2.
-2*x*(x - 3)*(x - 1)*(x + 1)
Let -2/23*p**3 + 176/23*p + 8 + 38/23*p**2 = 0. What is p?
-2, 23
Let v = 38351/5 + -421841/55. Factor 0*t + 1/11*t**5 + v*t**4 + 0*t**3 + 0*t**2 + 0.
t**4*(t + 4)/11
Let u(z) be the third derivative of -1/90*z**5 + 0 + 1/720*z**6 + 303*z**2 + 0*z - 1/6*z**3 - 11/144*z**4. Determine m so that u(m) = 0.
-1, 6
Suppose 13*p - 128 = -50. Suppose 44 - 8 = p*g. Let q(y) = 5*y**2 + 30*y + 11. Let n(b) = 3*b**2 + 15*b + 6. Let f(l) = g*q(l) - 11*n(l). Factor f(r).
-3*r*(r - 5)
Factor 2*c**4 - 960*c**3 + 335*c**2 - 102*c - 318*c + 1050*c**3 - 7*c**4.
-5*c*(c - 21)*(c - 1)*(c + 4)
Suppose 46 + 59 = -15*h. Let r be h/(-14) + -3 - -4. Find u, given that 3/2*u + r*u**2 + 0 = 0.
-1, 0
Factor 640090 + 1012*i + 2/5*i**2.
2*(i + 1265)**2/5
Let r(t) = t**3 + 19*t**2 + 19*t + 19. Let v be r(-18). Let a be 5 - v - -3*(-10)/15. Factor -3*q + 3*q**3 + q**4 + 4*q**2 - 8*q**a + 5*q**2 - 2.
(q - 1)*(q + 1)**2*(q + 2)
Suppose 1042*r - 111*r = -673*r + 2440 + 3976. Let 0 + 1/2*f**5 - 10*f**2 + r*f + 9*f**3 - 7/2*f**4 = 0. Calculate f.
0, 1, 2
Let j = -211523/4 + 52881. Factor j*a**2 + 0 - 1/4*a.
a*(a - 1)/4
Suppose -8420 = -7*s + 12160. Factor 2940 + 35*q**3 - 150*q + 515*q**2 - s.
5*q*(q + 15)*(7*q - 2)
Let i = 58509 - 58506. Factor -4/5*k**i + 0*k**2 - 2/5 + 2/5*k**4 + 4/5*k.
2*(k - 1)**3*(k + 1)/5
Suppose -502*y**5 + 80*y**2 + 1925*y - 130*y**3 + 40*y**4 - 980 + 507*y**5 - 940*y**2 = 0. Calculate y.
-7, 1, 4
Let v(a) be the third derivative of -47/240*a**5 - 4 + 9*a**2 + 29/48*a**4 - 2/3*a**3 + 1/96*a**6 + 0*a. Factor v(h).
(h - 8)*(h - 1)*(5*h - 2)/4
Let t(z) be the third derivative of z**7/945 + 112*z**6/135 + 8212*z**5/45 - 50624*z**4/27 + 204304*z**3/27 + 3*z**2 + 35*z. Factor t(s).
2*(s - 2)**2*(s + 226)**2/9
Let l(t) = -t + 1. Suppose 0 = -5*b - 1 - 4. Let f be l(b). Suppose -3*c + 23*c - f*c**3 - 3*c**3 - 15*c**2 = 0. What is c?
-4, 0, 1
Let 216*r - 2/9*r**4 + 9072 - 132*r**2 - 94/9*r**3 = 0. What is r?
-18, 7
Let q = 46975 + -93949/2. Determine n, given that -q*n**4 - 2*n**3 + 2 - 3/2*n**2 + 2*n = 0.
-2, -1, 1
Suppose 42*u + 18 = 51*u. Determine a, given that 406*a - 2*a**2 - 3*a**2 + u - a**2 - 397*a - 5 = 0.
1/2, 1
Let u = 156626/3 - 52206. Find g, given that -u*g - 2 - 7/6*g**2 - 1/6*g**3 = 0.
-3, -2
Suppose 24*u - 18*u + 288 = 0. Let g be u/600*-1*1. Determine n so that 8/25 - 2/25*n**3 + g*n - 8/25*n**2 = 0.
-4, -1, 1
Let t(g) be the first derivative of -7*g**5 + 1965*g**4/2 - 1120*g**3/3 + 1755. What is l in t(l) = 0?
0, 2/7, 112
Let b(w) be the first derivative of -103 + 80*w + 0*w**2 - 5/3*w**3. Solve b(a) = 0.
-4, 4
Let t(f) be the third derivative of -f**7/105 + 2*f**6/15 - 8*f**5/15 - 2*f**2 - 265*f. Suppose t(q) = 0. What is q?
0, 4
Factor -572/5*c**2 + 4/5*c + 572/5 - 4/5*c**3.
-4*(c - 1)*(c + 1)*(c + 143)/5
Let w(j) be the third derivative of -1/660*j**5 + 0*j**3 - 17 + 1/132*j**4 - j**2 + 0*j. Find s such that w(s) = 0.
0, 2
Suppose 204 - 127*n - 339*n - 5*n**3 + 521*n - 54 - 20*n**2 = 0. Calculate n.
-5, -2, 3
Let o = 27/7 - 23/7. Let h(u) be the first derivative of 0*u**3 - 5 + 4/35*u**5 + 2/7*u**4 - o*u**2 - 4/7*u. Suppose h(t) = 0. Calculate t.
-1, 1
Let k(l) be the first derivative of -l**5/15 + 13*l**4/2 + 215*l**2/2 + 180. Let r(v) be the second derivative of k(v). Determine t, given that r(t) = 0.
0, 39
Let l = 45347/3 + -14469. Let u = -646 + l. Solve -2*c - u*c**2 + 0 = 0 for c.
-3, 0
Let m(o) = -o**4 + o**3 + o**2 - o + 4. Let b(a) = -8*a**4 - 120*a**3 + 268*a**2 - 4*a + 16. Let f(z) = b(z) - 4*m(z). Factor f(c).
-4*c**2*(c - 2)*(c + 33)
Determine l, given that 65*l**3 + 0 + 1/3*l**4 + 194/3*l**2 + 0*l = 0.
-194, -1, 0
Suppose -34*v + 166 = 42*v + 7*v. Let z(p) = p**2 - 2. Let a be z(2). Suppose -12 - v*b**a - 10*b + b**2 + 6*b**2 - 3 = 0. What is b?
-1, 3
Let p be (406/2639*(-2)/(-3))/(4/36). Factor 2/13*v**5 - p*v**4 + 18/13*v - 32/13*v**2 + 28/13*v**3 - 4/13.
2*(v - 2)*(v - 1)**4/13
Let m = -94031 + 94033. What is g in -87/4*g - 3/4*g**m + 93/2 = 0?
-31, 2
Let c(o) be the first derivative of o**3/12 + 127*o**2/4 + 16129*o/4 - 1462. What is p in c(p) = 0?
-127
Let k(i) be the first derivative of -48/5*i + 232 - 28/15*i**3 - 32/5*i**2 - 1/5*i**4. Factor k(a).
-4*(a + 2)**2*(a + 3)/5
Let r(x) be the first derivative of -3*x**4/10 + 2*x**3/5 + 63*x**2/5 - 54*x + 354. Solve r(a) = 0.
-5, 3
Let d(c) = -c**4 + 2*c**3 + c**2 - c + 1. Let y(z) = -8*z**4 + 17*z**3 + 18*z**2 - 10*z - 3. Let t(l) = 14*d(l) - 2*y(l). Find k, given that t(k) = 0.
-2, -1, 1, 5
Factor 10*p**4 + 36*p**3 - 20*p - 84*p + 55*p**2 - 245*p**2 - 16*p + 69*p**3.
5*p*(p - 2)*(p + 12)*(2*p + 1)
Let b(d) be the third derivative of -d**7/560 - 5*d**6/32 + 53*d**5/40 - 27*d**4/8 - 1094*d**2. Factor b(w).
-3*w*(w - 2)**2*(w + 54)/8
Let i(p) = p**4 + p - 1. Let v = 187 + -188. Let h(t) = 8*t**4 - 4*t**3 + 24*t**2 + 28*t - 44. Let g(r) = v*h(r) + 12*i(r). Factor g(l).
4*(l - 2)*(l - 1)*(l + 2)**2
What is s in 3/5*s**3 + 216/5*s - 324/5 - 9*s**2 = 0?
3, 6
Factor -140*k + 6*k**3 + 49*k + 34*k - 4*k**3 - 18*k**2 - 15*k.
2*k*(k - 12)*(k + 3)
Let z(i) be the first derivative of -i**6/2 + 24*i**5/5 + 3*i**4/2 - 52*i**3 - 219*i**2/2 - 84*i + 4513. Determine r so that z(r) = 0.
-1, 4, 7
Let m(s) be the second derivative of -s**4/28 + 283*s**3/7 - 240267*s**2/14 + 3208*s. Find c, given that m(c) = 0.
283
Let m(r) = r**2 - 14*r - 58. Let q be m(18). Let 7*a**2 - 5*a**2 - 315 + q*a**3 + 4*a**4 + 309 - 14*a = 0. What is a?
-3, -1, -1/2, 1
Let s(f) be the first derivative of -f**3 - 375*f**2 - 1795. Factor s(y).
-3*y*(y + 250)
Let q = -59 - -153. Let n = 96 - q. Determine f, given that 10*f**4 + f**5 + 5*f**3 - 11*f**n + 13*f**2 - 6*f**4 = 0.
-2, -1, 0
Suppose 254*l - 147*l = 0. Solve 12*k**2 - 12/5*k + l + 33/5*k**3 = 0.
-2, 0, 2/11
Let t(b) be the third derivative of b**8/60480 - b**7/5040 + b**6/1080 + 13*b**5/5 - 30*b**2. Let i(g) be the third derivative of t(g). What is s in i(s) = 0?
1, 2
Let i(k) be the third derivative of 1/12*k**4 + 1/6*k**3 + 17*k**2 + 0 + 1/60*k**5 + k. Solve i(c) = 0 for c.
-1
Suppose 24*q - 19*q + 8 = -m, 0 = -3*m + 5*q + 56. Let f(u) be the first derivative of -2*u**2 - 2*u - m + 0*u**3 + 2/5*u**5 + u**4. Factor f(r).
2*(r - 1)*(r + 1)**3
Factor 4/3*o**2 - 200*o - 1216/3.
4*(o - 152)*(o + 2)/3
Let t = 1816 - 54479/30. Let g(s) be the third derivative of 0*s - t*s**4 - 2*s**2 + 2/525*s**7 + 1/25*s**5 + 0*s**3 + 0 - 1/50*s**6. Factor g(d).
4*d*(d - 1)**3/5
Let k(o) be the first derivative of -o**6/1020 + o**5/170 - o**4/102 - 13*o**2 + 74. Let h(z) be the second derivative of k(z). Solve h(n) = 0 for n.
0, 1, 2
Let j(s) be the third derivative of -1/1260*s**7 - 1/360*s**6 - 3*s**2 + 0*s + 11 + 0*s**4 + 1/24*s**5 + 0*s**3. What is p in j(p) = 0?
-5, 0, 3
Let c(k) = 4*k**3 - 69*k**2 - 45*k - 159. Let z be c(18). Factor 0 + 4/3*b**z - 1/3*b**4 + 0*b + 4*b**2.
-b**2*(b - 6)*(b + 2)/3
Let j(x) be the first derivative of 5*x**6/3 - 27*x**5 + 55*x**4/4 + 45*x**3 - 65*x**2/2 + 935. Suppose j(d) = 0. Calculate d.
-1, 0, 1/2, 1, 13
Let j(q) be the third derivative of -q**6/360 - q**5/60 + q**4/8 - 37*q**3/3 + 29*q**2 + 2*q. Let p(m) be the first derivative of j(m). Factor p(n).
-(n - 1)*(n + 3)
Suppose 8*f - 46 = 2. Let o(m) be the first derivative of 4 - 2 - 51*m**2 + 58*m + 3*m**2 - m**4 + f*m + 12*m**3. Factor o(w).
-4*(w - 4)**2*(w - 1)
Let i(d) = 3*d**2 + 32*d + 75. Let j = 138 + -79. Let c = 61 - j. Let z(x) = -21*x**2 - 225*x - 525. Let m(k) = c*z(k) + 15*i(k). Factor m(n).
3*(n + 5)**2
Suppose -38696*a = -38691*a - 10. Find f, given that 0 + 1/4*f - 1/4*f**a = 0.
0, 1
Let j(x) be the second derivative of -x**4/108 - 47*x**3/9 + 283*x**2/18 + 685*x + 4. Solve j(m) = 0.
-283, 1
Suppose 66*r + 1701 = 1965. Let n(m) be the first derivative of 5/2*m**r - m**5 + 0*m**3 + 0*m**2 + 5 + 0*m - 5/6*m**6. Find x, given that n(x) = 0.
-2, 0, 1
Suppose -1597 = -6*k + 575. Let a = k + -1082/3. Find j, given that 2/3*j**3 + 10/3*j + 8/3*j**2 + a = 0.
-2, -1
Let u be ((-2490)/(-63))/5 - 66/(-154). Let g(v) be the first derivative of 55/4*v**4 - u*v**3 - 15/2*v**2 - 3*v**5 + 0*v + 7. Find t, given that g(