actor o(h).
-4*h*(h + 2)*(17*h - 1)**3
Let d(v) be the second derivative of -v**6/30 - 14*v**5/5 + 29*v**4/2 - 88*v**3/3 + 59*v**2/2 + 7*v + 71. Solve d(z) = 0.
-59, 1
Suppose 24*a - 44 + 140 = 0. Let s(n) = 13*n**2 - 41*n + 90. Let t(m) = -180*m**2 + 575*m - 1260. Let v(d) = a*t(d) - 55*s(d). Factor v(j).
5*(j - 6)*(j - 3)
Suppose 50*p = 37*p + 65. Let f(j) = -4*j**3 + 5*j**2 - 10*j - 5. Let b(y) = -3*y**3 + 3*y**2 - 7*y - 3. Let g(n) = p*f(n) - 7*b(n). Solve g(w) = 0 for w.
-4, -1, 1
Suppose -3*l = -2*n + 86, 5*l - 71 + 256 = -5*n. Let x = 38 + l. Factor 41*p**2 - 26*p**2 + x*p + 12*p**3 + p**4 + 2*p**4.
3*p*(p + 1)**2*(p + 2)
Determine u so that -2*u**2 - 37 + 11 - 43 - 1692*u + 69 = 0.
-846, 0
Let n(z) = 3165 - 43*z**2 - 2922 + 23*z + 13*z**3 + 34*z. Let u(m) = -6*m**3 + 22*m**2 - 28*m - 122. Let d(v) = -3*n(v) - 7*u(v). Factor d(i).
(i - 5)**2*(3*i + 5)
Let x(f) be the first derivative of 0*f + 1/9*f**3 + 7 - 5/6*f**2. Let x(q) = 0. Calculate q.
0, 5
Let x be (-9)/(-120)*-2*(74 + -79). Let 0 - 3/4*p**3 - 1/4*p**2 + 1/4*p**4 + x*p = 0. Calculate p.
-1, 0, 1, 3
Let r(v) be the second derivative of -v**6/5 - 59*v**5/6 - 1067*v**4/6 - 3751*v**3/3 + 2662*v**2/3 + 3663*v. Find x, given that r(x) = 0.
-11, 2/9
Suppose -300/7*v + 3/7*v**2 + 873/7 = 0. Calculate v.
3, 97
Let a(l) = l**2 - 2*l + 1. Suppose 0 = -39*y + 15*y - 96. Let m(q) = 3*q**2 - 11*q - 6. Let w(j) = y*a(j) + 2*m(j). Find s, given that w(s) = 0.
-1, 8
Let g = 4 + 1. Suppose -6*z + 41 = -49. Suppose 20*h**3 + 0*h**5 + z*h**2 - 25*h**4 - 4*h**5 - 6*h**g = 0. What is h?
-3, -1/2, 0, 1
Let y(r) = 5*r**4 + 13*r**3 + 19*r**2 + 19*r. Let k(m) = -26*m**4 - 64*m**3 - 94*m**2 - 100*m. Let s(b) = -2*k(b) - 11*y(b). Factor s(l).
-3*l*(l + 1)**2*(l + 3)
Let v(i) = i**2 + 67*i - 435. Let q be v(6). Suppose q*p + 11*p = 28. Solve 2/13*y**p + 0 + 2/13*y = 0 for y.
-1, 0
Determine v so that 207*v - 84*v**2 - 254*v - 41*v**2 + 5*v**3 - 114 - 786 + 727*v = 0.
2, 5, 18
Let z = 6168 - 6166. Let y(t) be the second derivative of 17*t + 1/3*t**4 + 8*t**z + 0 - 8/3*t**3. Suppose y(u) = 0. Calculate u.
2
Let d(r) be the second derivative of -27 + 1/9*r**4 + r - 13/9*r**3 - 7/3*r**2. Find b, given that d(b) = 0.
-1/2, 7
Let z(a) be the first derivative of -21*a + 1/4*a**4 - 8 - 2*a**3 + 3/20*a**5 - 6*a**2. Let g(m) be the first derivative of z(m). Let g(i) = 0. What is i?
-2, -1, 2
Solve 899/5*l + 1794/5 + 1/5*l**2 = 0 for l.
-897, -2
Let t = -1903 - -1910. Let k(d) be the first derivative of d**3 - 3/2*d**2 - t - 6*d. Factor k(v).
3*(v - 2)*(v + 1)
Suppose 3*l + 2 = 11. Suppose -16 = l*d - 4*r, -3*d - 12 = -2*d - 3*r. Find z, given that 2*z**2 + 3*z + 4 + d + 2 - 5*z**2 = 0.
-1, 2
Suppose 24435*u - 24473*u = -152. Let k(x) be the first derivative of 0*x + 0*x**2 + 23 + 1/5*x**5 + 1/3*x**3 + 1/2*x**u. Find c, given that k(c) = 0.
-1, 0
Let p = -434623 + 434627. Find c such that 2/7*c**5 + 8/7*c - 6/7*c**3 + 8/7*c**2 - 4/7*c**p + 0 = 0.
-1, 0, 2
Let -46/3*a**2 + 20/3*a + 0 + 4/3*a**4 + 10/3*a**3 = 0. Calculate a.
-5, 0, 1/2, 2
Let j(d) = -d**5 + d**4 + d**2 - 2. Let k(r) = -8*r**5 - 85*r**4 - 264*r**3 + 1123*r**2 - 400*r - 6. Let p(u) = 3*j(u) - k(u). Suppose p(x) = 0. Calculate x.
-10, 0, 2/5, 2
Let v(s) be the first derivative of s**6/72 - s**5/12 + 79*s**3/3 - s**2 - 112. Let q(o) be the third derivative of v(o). Factor q(f).
5*f*(f - 2)
Solve 17*g**4 - 37457 - 15*g**4 - 729*g**2 + 43*g**4 + 37457 - 81*g**3 - 3*g**5 = 0 for g.
-3, 0, 9
Let o(z) be the third derivative of z**7/1680 - 41*z**6/40 + 15129*z**5/20 - 620289*z**4/2 + 76295547*z**3 + 302*z**2. Solve o(i) = 0 for i.
246
Suppose 335*k = 172*k + 147*k + 48. Let -k*m + 18/7 + 3/7*m**2 = 0. Calculate m.
1, 6
Suppose -1105815 + 1105663 = -38*s. Factor -t**3 - 3/2*t + 11/4*t**2 + 0 - 1/4*t**s.
-t*(t - 1)**2*(t + 6)/4
Let y(w) be the first derivative of w**6/36 - 17*w**5/30 - w**4/4 + 47*w**3/9 + 133*w**2/12 + 17*w/2 + 1563. Suppose y(g) = 0. What is g?
-1, 3, 17
Let a(r) be the first derivative of r**6/21 - 38*r**5/35 + 72*r**4/7 - 1088*r**3/21 + 1024*r**2/7 - 1536*r/7 + 3267. Suppose a(s) = 0. Calculate s.
3, 4
What is p in 25*p + 0*p**2 - p**2 + 512574 - 512700 = 0?
7, 18
Let s(f) be the second derivative of -f**8/1344 + f**7/504 + f**6/24 + 6*f**4 - f**2 + 9*f - 1. Let a(i) be the third derivative of s(i). Factor a(k).
-5*k*(k - 3)*(k + 2)
Let r(s) = -13*s**3 + 42*s**2 + 65*s - 110. Let c(t) = -145*t**3 + 460*t**2 + 715*t - 1210. Let g(z) = -4*c(z) + 45*r(z). Factor g(a).
-5*(a - 11)*(a - 1)*(a + 2)
Let h(y) = 163782*y - 818907. Let t be h(5). Let 1/6*a**4 + 7/6*a**t + 17/6*a**2 + 1 + 17/6*a = 0. Calculate a.
-3, -2, -1
Let l = 42667/5 - 42463/5. Solve -15*t**4 + 36/5 - 18*t**3 + 333/5*t**2 - l*t = 0 for t.
-3, 2/5, 1
Let h be -32 - (81/(-3) - 7). Suppose 2/23*b**3 - 6/23*b - 4/23 + 0*b**h = 0. Calculate b.
-1, 2
Let h(n) be the second derivative of -n**5/30 - 397*n**4/6 - 157609*n**3/3 - 62570773*n**2/3 - 468*n. Find b such that h(b) = 0.
-397
Find v, given that -5*v**2 - 2635*v - 2244140 - 11705*v - 5248196 - 1840222 - 949222 = 0.
-1434
Factor 669*u - 669*u - 9*u**4 + 358*u**3 + 236*u**2 + 15*u**4 + 0*u**4.
2*u**2*(u + 59)*(3*u + 2)
Let c be 7575687/49104 + 6/(-32) + 14. Find h, given that -86/11*h - 1/11*h**2 - c = 0.
-43
Suppose 24*x - 5*f - 1 = 26*x, 0 = -x - 2*f. Suppose -12 = -0*y - 4*y. Find z such that 27*z**3 + 28*z**3 - 67*z**3 - 15*z**x + y*z**4 = 0.
-1, 0, 5
Let v(r) = -r**2 - 8*r - 3. Let m(k) be the third derivative of -k**5/60 - 3*k**4/8 - 2*k**3/3 - 47*k**2. Let h(t) = 3*m(t) - 4*v(t). Factor h(i).
i*(i + 5)
Let p(u) = -5*u**3 + 505*u**2 - 590*u + 450. Let d(x) = -x**2 - 25*x + 2. Let v(w) = -15*d(w) - p(w). Solve v(a) = 0 for a.
1, 96
Let m = -3638 + 3638. Let k(f) be the third derivative of m - 5/6*f**3 + 0*f**5 + 1/42*f**7 + 0*f - 5/12*f**4 - 11*f**2 + 1/12*f**6. Factor k(l).
5*(l - 1)*(l + 1)**3
Let v be (6/(-140) + 5/35)*((1 - 8) + 12). Let -3/4*r**3 + 1/4*r**5 - 1/4*r**4 + 0 - v*r + 5/4*r**2 = 0. Calculate r.
-2, 0, 1
Let q be 7 + 309/(-45) - (-14178)/315. Let v = 46 - q. Factor 30/7*u**2 - 48/7*u - v*u**3 + 24/7.
-6*(u - 2)**2*(u - 1)/7
Suppose -80*x - 2354 = -114. Let j be 23/((-6762)/x) + (-4)/42. Factor 12/7*q**2 + 12/7*q**5 + 12/7*q**3 - 4*q**4 - 8/7*q + j.
4*q*(q - 1)**3*(3*q + 2)/7
Suppose -434*a + 288 = 98 - 678. Factor 2 + 1/3*t**a + 5/3*t.
(t + 2)*(t + 3)/3
Let n(t) be the second derivative of -1/6*t**4 + 1 + 22*t**2 + 29*t + 7*t**3. Factor n(d).
-2*(d - 22)*(d + 1)
Let u be (-13585)/220 - (-10)/(-8). Let r be 7/6 + 42/u. Find p such that -r*p**4 + 1/2*p**2 + 0 - 1/2*p + 1/2*p**3 = 0.
-1, 0, 1
Let b(a) = a**3 + 4*a**2 - 3*a - 11. Let s be b(-2). Factor 504 + 3060 - 1238 + s*y**2 + 1781 + 222*y.
3*(y + 37)**2
Let l(m) be the second derivative of m**6/6 - 10*m**5 + 2185*m**4/12 - 1805*m**3/3 - 7011*m. Find w, given that l(w) = 0.
0, 2, 19
Let h = -7/11 + 79/55. Let s be ((-23)/(-25) - 1)/(17 - 4599/270). Let -12/5*d - 4/5 - h*d**3 - s*d**2 = 0. Calculate d.
-1
Let a(o) be the first derivative of 11*o**3/9 + 100*o**2/3 + 12*o + 736. Factor a(g).
(g + 18)*(11*g + 2)/3
Let i(c) be the third derivative of -3715538*c**5/15 + 1363*c**4/3 - c**3/3 + 18*c**2 + 4*c - 21. Determine o, given that i(o) = 0.
1/2726
Suppose -252*a + 245*a + 14 = 0. Factor -65*z - 7*z**a + 175*z - 52*z + z**3 - 52*z.
z*(z - 6)*(z - 1)
Factor -13*y + 30*y**2 + 63*y**2 - 10 + y**3 - 95*y**2.
(y - 5)*(y + 1)*(y + 2)
Let v = -8399/9 - -8441/9. Determine f, given that v*f + 16/3*f**2 + 8/9*f**3 + 10/9 = 0.
-5, -1/2
Let v be (-16 + 22 + 0)/(6 + -5 + 2). Determine d, given that 2*d**v + 0 + 0*d + 1/3*d**3 = 0.
-6, 0
Let d(n) = n**2 - 5*n + 2. Let y be d(5). Let a = 231507 - 231507. Factor -4/15*k**4 - 2/15*k**5 + a + 0*k**y + 0*k + 0*k**3.
-2*k**4*(k + 2)/15
Let c(q) = -2*q - 7. Let f be c(-5). Determine t so that 1874*t + 6*t**2 + 6*t**2 + 6*t**3 - 1889*t - f*t**3 = 0.
-5, 0, 1
Determine q so that 10577/2*q**3 + 975*q**4 - 9/2*q**5 + 8743*q**2 + 1332 + 5766*q = 0.
-3, -1, -2/3, 222
Suppose n + 5*a = -4, -n = -0*a - 4*a - 14. Suppose -s - 2 = -n. Factor -75*t**5 + 1 - 138*t**3 - 3*t + 180*t**4 + 3 - s + 36*t**2.
-3*t*(t - 1)**2*(5*t - 1)**2
Let s(t) be the first derivative of t**4/8 + 239*t**3/6 + 14399*t**2/4 + 14161*t/2 + 1046. Factor s(v).
(v + 1)*(