*a**3 - a**2 + 1/54*a**4 + 32*a. Find k such that h(k) = 0.
-9, 1
Let r = 745 + -745. Let a be 7 - (-45)/((-9)/1). Solve -1/6 + r*d + 1/6*d**a = 0.
-1, 1
Let v(p) = 0*p**2 + 2*p**3 + 2 + 12*p - 2*p**2 - 11*p**2 - p**3. Let l be v(12). Factor 4*q**2 + 8 + 80*q**3 + 4*q**2 - 44*q + 20*q**l.
4*(q + 1)*(4*q - 1)*(5*q - 2)
Let f(d) be the second derivative of 135*d - 1/39*d**3 + 5/78*d**4 - 4/13*d**2 + 0. Find n, given that f(n) = 0.
-4/5, 1
Let w(t) be the first derivative of -5*t**3 - 453*t**2 + 549*t + 1784. Determine q, given that w(q) = 0.
-61, 3/5
Let p = 547 - 498. Let s(g) = -g**3 - 14*g**2 + g + 16. Let a be s(-14). Factor d**a + 8 - 28*d - 23*d + p*d - 2*d**2.
-(d - 2)*(d + 4)
Let s(b) be the second derivative of -33/14*b**3 + 1/28*b**4 + 48/7*b**2 - 45 + 3*b. Find p such that s(p) = 0.
1, 32
Let 2672/7*v + 0 - 4/7*v**2 = 0. What is v?
0, 668
Let f(a) be the second derivative of a**7/231 - a**6/5 - 21*a**5/22 - 107*a**4/66 - 12*a**3/11 - 1376*a - 3. Factor f(u).
2*u*(u - 36)*(u + 1)**3/11
Solve -73*f - 41/3*f**2 - 1/3*f**3 - 105 = 0 for f.
-35, -3
Let a(p) be the third derivative of -p**5/12 + 115*p**4/12 - 140*p**3 + 769*p**2. Factor a(m).
-5*(m - 42)*(m - 4)
Let s(h) be the third derivative of -h**7/420 + 3*h**6/20 - 179*h**5/60 + 51*h**4/4 - 289*h**3/12 + 2*h**2 - 509*h. Factor s(d).
-(d - 17)**2*(d - 1)**2/2
Let t(x) = 2*x**4 + 48*x**3 - 45*x**2 - 79*x - 6. Let q(b) = b**4 + 3*b**3 - 3*b**2 - b - 2. Let l(v) = -6*q(v) + 2*t(v). Suppose l(d) = 0. What is d?
-1, 0, 2, 38
Let z(k) = -k**3 - 5*k**2 - 6*k + 6. Let l be z(-4). Factor -l*i - 8*i - 12*i - 2*i - 3*i**2.
-3*i*(i + 12)
Let b(w) be the third derivative of -121*w**6/480 - w**5/120 - 987*w**2. Factor b(u).
-u**2*(121*u + 2)/4
Suppose 31*v + 78 = -47*v. Let y be ((-39 + 39)/(-4 + 1))/v. Solve 2/3*g**5 + 2/3*g + 0*g**4 + y*g**2 + 0 - 4/3*g**3 = 0 for g.
-1, 0, 1
Let o(u) = 2*u**3 - 53*u**2 + 75*u + 24. Let n be o(25). Let s be 36/n + (-4 + -1)/(-10). Factor -1/2*d**3 + 2*d + 0*d**s + 0.
-d*(d - 2)*(d + 2)/2
Suppose -3*c = -2*x + 58 - 16, 2*x = 0. Let t be 5 + 105/c + 5. Find i, given that -t*i - 2 - 1/2*i**2 = 0.
-4, -1
Let z be (-87)/(-54) + (-15)/(-27)*-2. Factor z*v**2 - 2 - 3/2*v.
(v - 4)*(v + 1)/2
What is m in -141*m - 35*m + 350 + 12*m**3 - 19*m - 7*m**3 = 0?
-7, 2, 5
Suppose 0 - 1/2*s**2 + 1087*s = 0. What is s?
0, 2174
Let r(y) be the second derivative of y**7/210 - y**6/5 + 27*y**5/10 - y**3/3 - 3*y**2 + 11*y - 2. Let s(h) be the second derivative of r(h). Factor s(u).
4*u*(u - 9)**2
Let w(g) be the first derivative of -3*g**4/4 + 28*g**3 + 177*g**2/2 + 90*g - 216. Factor w(o).
-3*(o - 30)*(o + 1)**2
Let v = -160411/230 - 727/230. Let y = v - -701. Solve 4/5 - 2/5*p**2 - y*p = 0.
-2, 1
Let i(p) be the first derivative of 3*p**5/40 - 9*p**4/8 + 35*p**3/8 + 7211. Factor i(v).
3*v**2*(v - 7)*(v - 5)/8
Suppose 15*m - 12*m = -24. Let p(w) = 55*w**3 - 82*w**2 + 127*w - 52. Let u(j) = -20*j**3 + 27*j**2 - 42*j + 17. Let c(z) = m*u(z) - 3*p(z). Factor c(a).
-5*(a - 4)*(a - 1)**2
Let x be 2*1/2 + -1. Suppose v - 5*y - 12 = x, 36*v + 2*y + 2 = 35*v. Factor -2/11 - 2/11*t**v + 4/11*t.
-2*(t - 1)**2/11
Suppose 0 = -4*q - 3*m - 9, -m = -123*q + 118*q + 3. Let y be 38/12 - (3 + 0). What is c in q + 1/2*c + y*c**2 = 0?
-3, 0
Let c = 1259/2 + -2457/4. Let r = c - 179/12. Suppose 1/3*j**3 + 0*j**2 - r*j**5 + 0*j + 0*j**4 + 0 = 0. Calculate j.
-1, 0, 1
Suppose -162 = -5*w + 73. Let h = 92 - w. Let -8 - h*m - 4 + 9 - 7 - 35*m**2 = 0. Calculate m.
-1, -2/7
Let f(b) be the second derivative of -b**4/36 + b**3 + 44*b**2/3 + 788*b. Solve f(q) = 0 for q.
-4, 22
Let d(t) = 10*t + 115. Let r be d(-11). Let j be r/20*-3 - (-455)/308. Solve -2/11*l**4 + 0 + 6/11*l**3 + 0*l + j*l**2 = 0 for l.
-1, 0, 4
What is f in -14*f**2 - 22*f**3 + 11/4*f**4 + 12 + 9/4*f**5 + 52*f = 0?
-3, -2, -2/9, 2
Let u(s) = s - 1. Let y be u(3). Let a be 11/154*21 + (-35)/(-2). What is c in -6 - 23*c - 9*c**4 - a*c**y - 26*c**2 - 16*c + 12*c - 33*c**3 = 0?
-1, -2/3
Let f(t) be the first derivative of t**5/20 + t**4/8 - t**3/12 - t**2/4 + 538. Find k, given that f(k) = 0.
-2, -1, 0, 1
Let a(j) be the second derivative of -8*j**3 - 46*j + 0 - 1/10*j**5 - 36*j**2 + 11/6*j**4. Suppose a(r) = 0. What is r?
-1, 6
Let o(y) be the second derivative of -y**7/147 + 2*y**6/21 - 2*y**5/7 - 5*y**4/21 + y**3 - 1356*y. Determine j so that o(j) = 0.
-1, 0, 1, 3, 7
Let s(w) be the first derivative of -3*w**4/20 + 89*w**3/5 - 1161*w**2/2 - 1215*w + 1294. Factor s(r).
-3*(r - 45)**2*(r + 1)/5
Suppose -88*r = -101*r - 390. Let b be 10/3 + (190/r - -5). Find i, given that -8/13*i + 0 + 18/13*i**3 - 32/13*i**b = 0.
-2/9, 0, 2
Let b(k) be the second derivative of 1/12*k**4 + 1/3*k**3 + 1/2*k**2 - k - 11. What is z in b(z) = 0?
-1
Let s(y) be the second derivative of -31/20*y**5 + 0*y**2 + 0 - 65/36*y**4 - 11/18*y**3 + 1/10*y**6 - 96*y. Solve s(j) = 0.
-1/3, 0, 11
Suppose 12979*l**3 - 6453*l**3 + l**5 - 111*l**2 - 136*l + 328*l**2 - 6391*l**3 + 23*l**4 - 240 = 0. Calculate l.
-15, -4, -1, 1
Let i be (5/2)/(2/4). Suppose 4*y - 3 = i. Let -7*w**5 + 16*w**2 + 12*w**4 - 32 - 6*w**3 + 9*w**5 - 32*w + 38*w**3 + y*w**4 = 0. What is w?
-2, 1
Let t(a) be the first derivative of a**4/2 + 2438*a**3 + 3345240*a**2 + 6683168*a - 4982. Solve t(g) = 0.
-1828, -1
Let x be (-2)/4 + -1*(-5 + (-99)/(-22)). Let f(t) be the second derivative of 1/3*t**4 + 0*t**3 + 0 - 23*t + x*t**2 + 4/5*t**5. Solve f(i) = 0 for i.
-1/4, 0
Let j(c) = -2920*c + 2923. Let a be j(1). Let 0 - 3/2*g - a*g**2 + 9/2*g**3 = 0. Calculate g.
-1/3, 0, 1
Let z be 3 + (-78)/60*(-2)/(-1). Determine o so that 22/5*o**3 + 0*o + z*o**5 + 12/5*o**2 + 0 + 12/5*o**4 = 0.
-3, -2, -1, 0
Let p be 6/(-7) + (-6 - 288/(-42)). Let s be (-8 + p - -8)/(-5). Factor 1/4*n**5 + 0*n**2 + 2*n**4 + 0*n + s + 4*n**3.
n**3*(n + 4)**2/4
Let d(w) = 23*w**3 + 163*w**2 - 320*w - 156. Let a(o) = 159*o**3 + 1143*o**2 - 2241*o - 1092. Let p(v) = -4*a(v) + 27*d(v). Determine g, given that p(g) = 0.
-13, -2/5, 2
Let m(j) be the second derivative of -1/4*j**3 - 1/12*j**4 + 5/8*j**2 + 0 + 3/40*j**5 - 1/120*j**6 + 31*j. Factor m(h).
-(h - 5)*(h - 1)**2*(h + 1)/4
Let u(f) = 398*f + 5975. Let z be u(-15). What is v in 2/9*v**3 + 4/9*v**2 + 0*v - 2/9*v**z + 0 - 4/9*v**4 = 0?
-2, -1, 0, 1
Factor 3*x**3 - 1689387 + 318096*x + 1692*x**2 - 1336275 + 14234051 + 8725627.
3*(x + 188)**3
Let p = -4972 + 4974. Let g(a) be the first derivative of 45/2*a**p + 5*a**4 + 12 + 10*a + 20*a**3. Factor g(v).
5*(v + 2)*(2*v + 1)**2
Solve -38/9*m - 14/3*m**2 - 4/3 - 2*m**3 - 2/9*m**4 = 0 for m.
-6, -1
Let z = 443 - 231. Let i be (-2 + -3)*(z/20 + -11). Solve 3/4 + 3/2*v + 3/4*v**i = 0.
-1
Suppose -1077*p - 1057*p = -2069*p - 130. Factor -20*y**p - 26/3*y - 8/3*y**4 - 14*y**3 + 0.
-2*y*(y + 1)**2*(4*y + 13)/3
Suppose 5*o - 27*x = -30*x + 6, o - 5*x = 18. Find l, given that -12*l**2 + 2*l**o - 744*l - l**5 + 740*l - 6*l**4 - 15*l**3 = 0.
-2, -1, 0
Let b(n) = 3*n**3 + 1180*n**2 + 70787*n + 136892. Let l(w) = w**3 - w - 1. Let r(f) = -b(f) - 2*l(f). Factor r(a).
-5*(a + 2)*(a + 117)**2
Suppose -13*h + 2223 = 598. Let k be 96/288 + h/9. Solve -10/9*p**4 - 16*p**2 - 32/9 - 64/9*p**3 - k*p = 0 for p.
-2, -2/5
Let n(z) be the second derivative of -1 - 17*z**2 + 89*z - 1/6*z**4 - 6*z**3. Factor n(x).
-2*(x + 1)*(x + 17)
Let m(a) = 2*a**2 + a + 45. Let v be m(0). Determine z so that -12*z**3 - z + 23 + v*z + 38*z**2 - 26*z**2 + 1 - 4*z**4 = 0.
-3, -1, 2
Solve -891/4 - 63/2*x - 3/4*x**2 = 0 for x.
-33, -9
Let s(t) = -t**2 - 14*t - 4. Let o(i) = -i**2 - 9*i - 2. Let q(v) = 3*o(v) - 2*s(v). Factor q(c).
-(c - 2)*(c + 1)
Let o be 1458*(2 - (-4)/45*-21). Factor 0 - 54/5*g**3 - 1/5*g**4 - 5832/5*g - o*g**2.
-g*(g + 18)**3/5
Suppose 0 = 5*u - o - 40537, 5*u - 5*o = -0*o + 40545. Let m = 40898/5 - u. Suppose -66/5*v + 3/5*v**2 + m = 0. Calculate v.
11
Let a(f) be the first derivative of -27*f + 0*f**2 + 3/4*f**3 - 1/16*f**4 - 97. Factor a(r).
-(r - 6)**2*(r + 3)/4
Let g(j) be the first derivative of j**7/2520 + j**6/15 + 24*j**5/5 + 192*j**4 - 2*j**3/3 + 14*j + 91. Let n(u) be the third derivative of g(u). Solve n(q) = 0.
-24
Suppose 0 = 7*q - 107 + 331. Let x be (-5)/(150/q)*(-35)/(-14). Determine p, given that 2/3*p**3 + 10/3*p + x*p**2 + 4/3 = 0.
-2, -1
Let o = -339714