ctor 1487*z - 35*z**2 - 1328*z + 9 - 19*z**2.
-3*(z - 3)*(18*z + 1)
Let a(l) be the second derivative of l**4/2 + 63*l**3/8 - 3*l**2 + 5129*l. Factor a(q).
3*(q + 8)*(8*q - 1)/4
Suppose -3*b + 6 = -0*b. Factor b - 14*z**2 - 24*z + 7*z**2 + 30 + 11*z**2.
4*(z - 4)*(z - 2)
Let j = 1232 - 1211. Let l be (j/(-45))/(8/(-24)). What is p in l + 8/5*p + 1/5*p**2 = 0?
-7, -1
Factor -2249 - 4888 - d**3 + 27813*d - 27388*d + 29*d**2 - 5988.
-(d - 25)**2*(d + 21)
Suppose 96 - 86 = 4*g + z, -5*z = -5*g + 25. Let l(d) be the second derivative of 8/3*d**2 + 1/15*d**5 - 1/3*d**4 + 0 + 0*d**g + 9*d. Factor l(f).
4*(f - 2)**2*(f + 1)/3
Let m(v) be the second derivative of -v**5/20 + 11*v**4/6 + 311*v**3/6 + 144*v**2 + 5896*v + 1. Factor m(a).
-(a - 32)*(a + 1)*(a + 9)
Let b(q) be the first derivative of -q**6/4 + 258*q**5/5 - 3651*q**4 + 86768*q**3 + 353220*q**2 - 2341344*q + 9085. Find x such that b(x) = 0.
-4, 2, 58
Suppose 145 + 115*u + 144 + 74 + 18 + 159 - 5*u**2 = 0. Calculate u.
-4, 27
Factor -4*k**3 - 148*k + 116*k - 52*k - 40*k**2.
-4*k*(k + 3)*(k + 7)
Let l = 1036 + -1035. Let m be 242/132 - l/3. Suppose -3/4*x**2 - m*x + 9/4*x**3 + 0 = 0. Calculate x.
-2/3, 0, 1
Let z be ((-18)/10 + 1)/((-296)/222)*(-20)/(-72). What is c in 7/2 - 5/3*c + z*c**2 = 0?
3, 7
Factor -159/2 - 1/4*i**2 - 109/4*i.
-(i + 3)*(i + 106)/4
Let x(k) = -k**3 - k**2 - k. Let m(o) = 40*o**4 - 76*o**3 - 112*o**2 + 36*o + 24. Let t = 1014 - 1013. Let r(c) = t*m(c) + 8*x(c). What is a in r(a) = 0?
-1, -2/5, 1/2, 3
Let c = 51035 + -51033. Let 16/9 - 68/9*q - c*q**2 = 0. Calculate q.
-4, 2/9
Let t be 4/(-42) - (-247544)/32592. What is s in t*s - 1/4*s**2 - 225/4 = 0?
15
Solve 12*s**4 + 423/2*s**3 + 1863/2*s + 891*s**2 - 486 = 0.
-12, -3, 3/8
Let f(z) be the third derivative of -1/420*z**6 + 10/21*z**3 + 1/1470*z**7 + 0*z - 89*z**2 - 1 - 1/28*z**5 - 1/42*z**4. Factor f(b).
(b - 5)*(b - 1)*(b + 2)**2/7
Let p = -2111 - -3132. Let a = -1021 + p. Suppose -1/5*m + 1/5*m**5 + 2/5*m**2 + 0 - 2/5*m**4 + a*m**3 = 0. Calculate m.
-1, 0, 1
Let t be 14/126*(-2 + 17717). Let n = 1985 - t. Solve 70/3*l + 22/3*l**2 + 2/3*l**3 + n = 0 for l.
-5, -1
Let w(p) be the third derivative of p**5/60 - 2*p**3 + 10*p**2. Let h be w(-4). Let 8*c**3 + 2 + 7 - 8*c - 5 - 4*c**h = 0. Calculate c.
-1, 1
Let l(s) be the first derivative of -s**4/12 + 16*s**3/9 - 61*s**2/6 + 22*s - 266. Suppose l(h) = 0. Calculate h.
2, 3, 11
Let g be (1 - (-28)/4) + -3. Suppose 10 = -4*o + 4*p + 26, g*o - 2*p = 20. Factor 37*v - 4 - 12*v**4 - o*v**4 - 90*v**2 + 14*v**3 - 15*v**2 + 74*v**3.
-(v - 4)*(v - 1)*(4*v - 1)**2
Factor 2*z - 270*z**2 - 254*z**2 - 254*z**2 + 6 + 3*z**3 + 15*z + 792*z**2.
(z + 1)*(z + 3)*(3*z + 2)
Find b, given that -150 - 1/3*b**2 - 59/3*b = 0.
-50, -9
Let h(z) = -112*z + 440. Let r be h(11). Let k be r/(-28) - (25 - 15). Factor -32/7*y + k + 2/7*y**2.
2*(y - 8)**2/7
Let l(h) be the first derivative of h**3/7 + 66*h**2/7 + 111*h + 13848. Let l(v) = 0. What is v?
-37, -7
Let k(w) = 6*w**2 - 4*w. Let r(m) = -8*m**2 + 3*m. Suppose 3*i - 11 = 2*t - 2*i, 2*t + 7 = i. Let f(g) = t*k(g) - 2*r(g). Factor f(o).
-2*o*(o - 3)
Let m = 84 - 64. Factor 8*b + 8*b + 5*b**4 + 30*b**3 + 44*b + 65*b**2 + m.
5*(b + 1)**2*(b + 2)**2
Let i(y) = 2*y**3 + 399*y**2 + 1494*y - 10. Let u(b) = 3*b**3 + 381*b**2 + 1494*b - 12. Let l(p) = -6*i(p) + 5*u(p). Determine c, given that l(c) = 0.
-3, 0, 166
Let j(d) be the third derivative of -d**8/1512 + 2*d**7/135 + 7*d**6/180 - d**5/3 + 2897*d**2. Suppose j(p) = 0. What is p?
-3, 0, 2, 15
Let r(o) be the first derivative of 4/3*o**3 - 8*o**2 + 12*o - 29. Find w, given that r(w) = 0.
1, 3
Let q = 124802 + -124800. Find j such that -50/7 - 2/7*j**q - 52/7*j = 0.
-25, -1
Suppose 805*k - 285 = 710*k. Let z be (1/3)/((-5)/(-30)). Factor 2/7*t**5 - 2/7*t**k - 2/7*t**z + 0 + 2/7*t**4 + 0*t.
2*t**2*(t - 1)*(t + 1)**2/7
Let a(z) be the third derivative of z**5/300 - 13*z**4/30 - 2585*z**2. Let a(o) = 0. Calculate o.
0, 52
Suppose r = -5*c + 18, -2*r = -r + 3*c - 12. Suppose -6*x = -r*x - 9. What is a in 5*a**2 - 16*a**5 + 3*a**4 + 3*a**x - 8*a**2 + 13*a**5 = 0?
-1, 0, 1
Let y be (-2155)/(-16809)*(0 + 36/10) - 0. Let p be (-2 - 14/(-6)) + 21/(-117). Factor -y - p*g**2 + 10/13*g - 2/13*g**3.
-2*(g - 1)**2*(g + 3)/13
Let h(f) be the first derivative of f**5/300 - 19*f**4/60 + 361*f**3/30 + 145*f**2/2 + 206. Let r(o) be the second derivative of h(o). Factor r(u).
(u - 19)**2/5
Factor -51 - 26*r**2 + 79*r - 9*r + 149 + 2*r**3.
2*(r - 7)**2*(r + 1)
Let x be -8 + 3 - (-46774)/70. Let v = 668 - x. Determine z, given that 16/5 - 1/5*z**3 + 9/5*z**2 - v*z = 0.
1, 4
Let x = -13 + -44. Let h = x - -59. Suppose -3 + 1 + h*g**2 - 3 - 8*g + 11 = 0. Calculate g.
1, 3
Solve 33*h - 63/2*h**3 + 0 - 3/2*h**5 + 39/2*h**2 - 39/2*h**4 = 0.
-11, -2, -1, 0, 1
Let i(n) = n**3 - 5*n**2 + n - 12. Let w be i(7). Suppose -h + w = 91. Solve 0*c**2 - 8*c**2 - 6*c + 2 + 0*c**h = 0 for c.
-1, 1/4
Let k be (4 + -10)/114 + (-4176)/(-1368). Solve 0 + 4*v**2 + 1/2*v**4 + 0*v + 3*v**k = 0.
-4, -2, 0
Let a(u) be the third derivative of 11*u**7/21 + 5*u**6/8 - 29*u**5/12 - 25*u**4/8 + 35*u**3/6 - 356*u**2 + u. Determine x, given that a(x) = 0.
-1, 7/22, 1
Find j such that -2*j**3 + 68*j + 53*j**2 - 690 + 119*j - 11*j**2 - 65*j = 0.
-5, 3, 23
Suppose -501*q = -1511*q + 9090. Suppose -24*f + q - 11/4*f**2 + 121/4*f**3 = 0. What is f?
-1, 6/11
Let b(q) = 5*q**2 + 1121*q + 2226. Let g(u) = -155*u**2 - 34750*u - 69005. Let j(y) = 125*b(y) + 4*g(y). Solve j(w) = 0 for w.
-223, -2
Determine p, given that 776/13*p**2 - 1146*p - 468 - 10/13*p**3 = 0.
-2/5, 39
Solve 68*q + 9*q**3 - 14*q + 11*q**2 + 22*q**2 - 6*q**3 = 0.
-9, -2, 0
Suppose 10*j + 238*j - 744 = 0. Let x(m) be the third derivative of 25*m**2 - 1/70*m**5 + 0 - 5/21*m**j + 0*m + 4/21*m**4. Factor x(z).
-2*(z - 5)*(3*z - 1)/7
Factor 483/8*m**2 - 957/2*m - 5445/2 - 3/2*m**3.
-3*(m - 22)**2*(4*m + 15)/8
Let p = -186 - -191. Factor 50 + 35 + 35*b**2 + 30*b - p*b**4 - 136 + 51.
-5*b*(b - 3)*(b + 1)*(b + 2)
Let i(a) = 65*a**3 - 740*a**2 + 2435*a - 15. Let l(v) = -9*v**3 + 105*v**2 - 348*v + 2. Let q(u) = 2*i(u) + 15*l(u). What is j in q(j) = 0?
0, 5, 14
Let u(r) = -90*r**2 + 2177*r - 725. Let b(l) = 39*l**2 - 1090*l + 363. Let w(i) = 7*b(i) + 3*u(i). Find h, given that w(h) = 0.
1/3, 366
Let m(h) be the first derivative of -h**4/22 + 56*h**3/33 - 37*h**2/11 - 780*h/11 + 4504. What is u in m(u) = 0?
-3, 5, 26
Let o = 1500 + -1274. Suppose -26 = o*s - 239*s. Factor -1/5*n + 0 - 1/5*n**s.
-n*(n + 1)/5
Let s(j) = -j**2 - 22*j - 145. Let o be s(-33). Let v = o - -510. What is a in 61*a**4 + 1 + 23/2*a + 79*a**3 + 35/2*a**5 + 46*a**v = 0?
-1, -2/7, -1/5
Let q be ((-2086)/20860)/((-6)/40*1). Determine y, given that q*y**3 + 0 - 28/3*y**2 - 10*y = 0.
-1, 0, 15
Let f = -120 - -220. Suppose -2*w + 108 - f = 0. Determine o so that o**4 - 4*o**2 - 6*o**3 + 5*o**4 - 5*o**4 - 3*o**w = 0.
-2, -1, 0
Let s(c) = c**2 + 163*c + 2987. Let v be s(-21). Factor -k**4 - 1/5*k**v + 0 - 8/5*k**3 + 0*k - 4/5*k**2.
-k**2*(k + 1)*(k + 2)**2/5
Let f(g) be the second derivative of 21/10*g**2 + 0 + 78*g - 2/15*g**3 - 1/60*g**4. Factor f(b).
-(b - 3)*(b + 7)/5
Let p(a) be the first derivative of -a**4/42 - 4*a**3/21 - 3*a**2/7 - 104*a + 36. Let y(f) be the first derivative of p(f). Let y(j) = 0. Calculate j.
-3, -1
Factor -86*u - 1354*u - 75*u**2 - 2062*u - 250*u + 71*u**2 + 3756.
-4*(u - 1)*(u + 939)
Let q(x) be the first derivative of x**6/960 - x**4/192 - 25*x**2/2 - 32. Let m(z) be the second derivative of q(z). Factor m(u).
u*(u - 1)*(u + 1)/8
Let v be 160/(-7)*(174/(-377))/((-11)/(-715)). Factor v*u**2 + 0 + 1/7*u**4 + 64000/7*u + 120/7*u**3.
u*(u + 40)**3/7
Let d(w) = 87*w**4 - 105*w**2 - 6*w. Let r(y) = 2*y**4 + 2*y**3 + 4*y**2. Let u(s) = -d(s) - 3*r(s). Determine g, given that u(g) = 0.
-1, -2/31, 0, 1
Let z(m) be the third derivative of -m**5/60 - m**3/6 - 3*m**2 + 2*m. Let f(o) = -o**2 - 5*o + 34. Let c(u) = f(u) + 4*z(u). Factor c(l).
-5*(l - 2)*(l + 3)
Factor 1116/5*q**2 + 288 + 198/5*q**3 + 2184/5*q + 3/5*q**4.
3*(q + 2)**3*(q + 60)/5
Let c = 72563 - 72560. Factor -1/4*u**c + 7/4*u - 1 - 1/2*u**2.
-(u - 1)**2*(u + 4)/4
Let s(l) = -14*l**4 - 6*l**3 - 36*l**2 - 14*l - 5. Let m(n) = -17*n**4 - 7*n**3 - 38*n**2 - 12*n -