4*p + 376 = -3*s - p. Let d be (126/12)/((-9)/s). Let -2*z**3 - 83*z**2 - d*z - 860*z + 5*z**2 - 4394 = 0. Calculate z.
-13
Suppose -131*f = -110*f - 42. Factor 45*h**2 + 48*h**2 - 95*h**f - 30*h**3 - 100*h**4.
-2*h**2*(5*h + 1)*(10*h + 1)
Let q be (-2)/(-10) - 18/(-10). Let n(l) = l + 43. Let i be n(-34). Solve -24*s - 12*s**2 - s**3 + i*s - q*s**3 - 6 = 0.
-2, -1
Let f(u) = 31*u**4 - 50*u**3 + 53*u**2 - 19*u + 40. Let s(i) = -26*i**4 + 50*i**3 - 54*i**2 + 18*i - 32. Let y(r) = 4*f(r) + 5*s(r). Factor y(b).
-2*b*(b - 7)*(b - 1)*(3*b - 1)
Suppose o + 23 = 29. Let u be (2/o)/(4/24). Solve 1/2*r**2 - 5/2 + u*r = 0.
-5, 1
Let y be (-6)/(-9)*(2 + 0 + 100/(-80)). Let q = -206 + 211. Let 25/2 + q*d + y*d**2 = 0. What is d?
-5
Let -153*q**3 + 11*q**5 + 288*q + 144 + 57*q**3 + 48*q + 128*q**2 - 12*q**4 - 3*q**5 - 76*q**2 = 0. Calculate q.
-2, -1/2, 3
Find p, given that 419 + 114*p**4 - 284*p**4 - 580*p**2 + 745*p**3 - 419 + 5*p**5 = 0.
0, 1, 4, 29
Let x(h) be the third derivative of h**6/150 + 18*h**5/25 + 26*h**4 + 2704*h**3/15 - 818*h**2 + h. Solve x(z) = 0 for z.
-26, -2
Let p(c) be the second derivative of c**5/25 - 5*c**4/3 - 80*c**3/3 + 2400*c**2 + 9*c + 55. Find k, given that p(k) = 0.
-15, 20
Let x(t) = 775*t**2 + 100405*t. Let u(a) = -25*a**2 - 3239*a. Let v(p) = 125*u(p) + 4*x(p). Suppose v(g) = 0. Calculate g.
-651/5, 0
Let d(r) = 14*r**2 - 6108*r + 4645158. Let a(h) = 16*h**2 - 6110*h + 4645159. Let x(p) = 6*a(p) - 7*d(p). Solve x(l) = 0 for l.
1524
Let p(k) be the first derivative of 1/5*k**3 + 9/20*k**4 + 0*k - 9/10*k**2 + 2 - 3/25*k**5. Factor p(r).
-3*r*(r - 3)*(r - 1)*(r + 1)/5
Let o(g) = 3*g**2 + 3363*g + 3336. Let d(k) = 6*k**2 + 6728*k + 6670. Let q(s) = -6*d(s) + 13*o(s). Factor q(b).
3*(b + 1)*(b + 1116)
Let q = 2783 + -2780. Determine t, given that -1/7*t**q + 2/7 - 2/7*t**2 + 1/7*t = 0.
-2, -1, 1
Let t(q) = -345*q**2 + 124*q + 251. Let h be t(-2). Let b = h + 1379. Factor 1/2*a**3 - 4*a**b - 6*a + 0 + 1/2*a**4.
a*(a - 3)*(a + 2)**2/2
Let z be (-1675)/(-350) - 70/28*27/15. Let r be (-1 - 3)*(-3)/6. Factor -10/7*m - 12/7 - z*m**r.
-2*(m + 2)*(m + 3)/7
Let l be (-44)/8 - (-2363)/278. Find f, given that -1/2 + 12*f**l + 6*f - 35/2*f**2 = 0.
1/8, 1/3, 1
Let 634*t - 2472*t**4 + 144*t**5 + 629*t + 4850*t**2 - 1407*t**3 - 2537*t**2 + 159 = 0. Calculate t.
-1, -1/4, 1, 53/3
Suppose -4*m - 3*y + 40 = -5*y, 4*m - 46 = 5*y. Factor -2*o**5 - m*o + 4*o**2 + 5*o**2 + 4*o**5 + 7*o**2 - 12*o**3 + 3*o.
2*o*(o - 1)**3*(o + 3)
Let 82*f**4 - 611*f**3 - 5*f**5 + 91*f**4 - 229*f**3 + 2560*f + 1600*f**2 - 58*f**4 = 0. Calculate f.
-1, 0, 8
Let y(d) = d**3 + 24*d**2 + 48*d + 53. Let o be y(-22). Let i be (5/o)/((-6)/21). What is f in 0 - 1/4*f**3 - i*f + 3/4*f**2 = 0?
0, 1, 2
Suppose -436/3*g**3 + 1312/3*g + 872/3 - 2/3*g**4 + 2*g**2 = 0. Calculate g.
-218, -1, 2
Suppose 7*z + 2 = 6*z, 11 = 3*w + 2*z. Let 4*a**2 - 4*a**2 - 30 - 83*a - 120 - 62*a + w*a**2 = 0. What is a?
-1, 30
Let w(p) be the first derivative of -15/4*p**4 + 0*p + 2*p**3 + 0*p**2 + 12/5*p**5 - 93 - 1/2*p**6. Factor w(n).
-3*n**2*(n - 2)*(n - 1)**2
Suppose 0 = -m + 5*g + 1633 - 1643, 5*m - 3*g = 60. Let o(i) be the first derivative of 5/4*i**3 - 5/4*i**2 + 0*i + 0*i**4 - m - 1/4*i**5. Factor o(z).
-5*z*(z - 1)**2*(z + 2)/4
Let i(n) be the second derivative of -1/35*n**5 + 8/21*n**3 - 28*n - 4/21*n**4 + 0 + 0*n**2 + 2/105*n**6. Find p such that i(p) = 0.
-2, 0, 1, 2
Let h(g) be the first derivative of 3*g**5/20 - 9*g**4/4 + 9*g**3 - 2658. Factor h(q).
3*q**2*(q - 6)**2/4
Let t(r) be the third derivative of -r**6/30 + 94*r**5/15 - 318*r**2 - r. Suppose t(y) = 0. Calculate y.
0, 94
Let p(m) be the first derivative of -8*m**6/3 + 6344*m**5/5 - 789*m**4 - 4762*m**3/3 + 1981*m**2 - 792*m + 1486. What is b in p(b) = 0?
-1, 1/2, 396
Let o(r) = 3*r**2 - 18*r + 14. Let q be o(6). Let y(f) be the second derivative of -1/6*f**3 - q*f + 0 + 1/40*f**5 + 1/24*f**4 + 0*f**2. Factor y(g).
g*(g - 1)*(g + 2)/2
Suppose 2*w - 4*v + 8 = -4, -2*w + 3 = v. Suppose 5*m + 781 = 2*o, w*m - m + 408 = o. Suppose -45*g**2 + 28 + 27*g - o + 3*g**3 + 154*g + 44*g = 0. Calculate g.
5
Let r = -39 + 48. Factor 6*d**2 + r*d**3 - 969 - 3*d**5 + 969.
-3*d**2*(d - 2)*(d + 1)**2
Let b(q) = 32*q**3 - 1076*q**2 - 4328*q + 1136. Let u(d) = 30*d**3 - 1078*d**2 - 4329*d + 1138. Let j(o) = 7*b(o) - 8*u(o). Factor j(v).
-4*(v - 72)*(v + 4)*(4*v - 1)
Let p(q) be the third derivative of q**7/21 + 47*q**6/60 + 31*q**5/10 + 65*q**4/12 + 14*q**3/3 - q**2 - 51. What is f in p(f) = 0?
-7, -1, -2/5
Factor 2/15*t**3 + 188/15*t**2 - 76/3 - 194/15*t.
2*(t - 2)*(t + 1)*(t + 95)/15
Let k(t) be the second derivative of -t**6/840 + 3*t**5/140 + t**4/8 + 11*t**3/42 - 45*t**2 + 19*t. Let x(i) be the first derivative of k(i). Factor x(o).
-(o - 11)*(o + 1)**2/7
Let n(z) = 3*z**3 - 58*z**2 + 224*z - 10. Let b(i) = -i**3 + 21*i**2 - 74*i + 3. Let h(s) = -10*b(s) - 3*n(s). Factor h(r).
r*(r - 34)*(r - 2)
Suppose 16 = 4*x, 0*x = b - 3*x - x + 13. Factor 0 + 4/3*z + 4/3*z**2 - 4/3*z**4 - 4/3*z**b.
-4*z*(z - 1)*(z + 1)**2/3
Determine v so that -1191*v**2 - 84*v + 78 + 89*v**3 - 72*v**4 - v**3 + 1415*v**2 - 230 - 4*v**5 = 0.
-19, -1, 1, 2
Let u(i) be the second derivative of -i**6/6 - i**5/4 + 35*i**4/3 + 190*i**3/3 + 120*i**2 + 6*i - 76. Let u(f) = 0. Calculate f.
-4, -2, -1, 6
Let g = 1819 + 4644. Factor g*d**3 - 6463*d**3 + 4*d**5.
4*d**5
Suppose -17*d + 1689 = -1575. Suppose -7*l = -d + 171. Factor 4/17*a + 8/17*a**l + 0 + 10/17*a**2 + 2/17*a**4.
2*a*(a + 1)**2*(a + 2)/17
Let u(q) = -3*q**4 - 3*q**3 - 40*q**2 + 28*q + 4. Let m(y) = -y**4 - y**3 - 4*y**2 - 2*y + 1. Let s(z) = -4*m(z) + u(z). Factor s(w).
w*(w - 3)*(w - 2)*(w + 6)
Let o(v) be the third derivative of -7*v**5/60 - 15*v**4/8 - 5*v**3/2 - 144*v**2. Let j be o(-6). Factor 0*k - 10/9*k**j + 8/9*k**4 + 4/9*k**2 + 0 - 2/9*k**5.
-2*k**2*(k - 2)*(k - 1)**2/9
Factor -1/12*o**2 - 129*o - 49923.
-(o + 774)**2/12
Let g(q) = -15*q**3 + 83*q**2 + 104*q - 178. Let c(f) = 65*f**3 - 331*f**2 - 418*f + 711. Let s(o) = 2*c(o) + 9*g(o). What is x in s(x) = 0?
-2, 1, 18
Let r = -2487 - -1652. Let v = -832 - r. Factor 1/2*j**4 + 1/8*j**5 + 1/8*j + 0 + 1/2*j**2 + 3/4*j**v.
j*(j + 1)**4/8
Let n(d) = -d**2 - 7*d - 12. Let c be n(-4). Let g be (c - -4) + -5 + 3. Factor 5*h**3 + 5*h**4 - 5*h**g + 5*h**2 + 0*h**4.
5*h**3*(h + 1)
Let m(g) be the second derivative of -9 - 1/16*g**3 - 2*g + 0*g**2 - 3/160*g**5 + 1/16*g**4. Let m(v) = 0. What is v?
0, 1
Let t = 2863/32 + -19209/224. What is j in t*j - 12/7 + 10/7*j**2 = 0?
-3, 2/5
Determine u so that 6*u**4 - 1760*u**2 - 15105*u**3 + 14723*u**3 - 968*u - 6*u**5 + 110*u**4 = 0.
-2, -2/3, 0, 11
Let j be (-40376)/(-5040) - (-16)/(-2). Let y(n) be the second derivative of 0 + 5/36*n**4 + 0*n**2 + 0*n**3 - 1/15*n**5 - j*n**6 + 11*n. Factor y(q).
-q**2*(q - 1)*(q + 5)/3
Let o = -2734 + 2734. Let s(h) be the third derivative of -3/10*h**5 + h**2 + o*h - 1/40*h**6 - 4*h**3 + 0 - 3/2*h**4. Factor s(a).
-3*(a + 2)**3
Factor f**2 + 1268624 + 424111 - 4864*f + 4221889.
(f - 2432)**2
Let c(m) be the first derivative of m**6/72 + m**5/12 - 5*m**4/3 - 18*m**3 - 36. Let g(y) be the third derivative of c(y). Solve g(w) = 0 for w.
-4, 2
Let -10*y**5 - 10*y**5 + 21*y**5 - 11*y**3 + 9*y**2 + 0*y**2 + 5*y + 13*y - y**4 = 0. What is y?
-3, -1, 0, 2, 3
Let i(p) be the third derivative of -p**5/210 + 38*p**4/21 + 910*p**2. Factor i(l).
-2*l*(l - 152)/7
Let x(b) be the third derivative of b**8/1512 - 22*b**7/945 + 19*b**6/180 + 2*b**5/135 - 19*b**4/27 - 1055*b**2. Determine o, given that x(o) = 0.
-1, 0, 2, 19
Suppose -3*l - 4*d = -10, 0 = 3*l + 5*d - 2 - 6. Find g such that 4*g - l*g**3 + 5*g**3 - 3*g**2 - 103 + 103 = 0.
-4, 0, 1
Let m(l) = 12*l**2 - 10*l + 11. Let t be m(7). Solve 0*d**2 + 7*d - 48*d - t - d**2 - 5*d = 0.
-23
Suppose 457*l**2 - 1932*l**2 + 1775*l**4 - 66 - 125*l**5 - 1480*l - 234 + 1605*l**3 = 0. Calculate l.
-1, -2/5, 1, 15
Let t(v) be the second derivative of -v**7/280 - v**6/60 + 7*v**5/40 - v**4/2 + 97*v**3/6 - 51*v. Let o(w) be the second derivative of t(w). Solve o(k) = 0.
-4, 1
Let d(k) be the second derivative of -218*k - 36*k**2 + 0 + 1/3*k**4 - 14/3*k**3. Suppose d(s) = 0. Calculate s.
-2, 9
Let o(t) be the third derivative of 1/7*t**7 + 0*t + 9 + 6*t**2 + 29/6*t