 c(12). Suppose f - 7 = 5*u + 8, -6 = -2*f + 2*u. Determine g so that 8/3*g + f + 2/3*g**x = 0.
-4, 0
Let p(y) = 14*y**3 + 918*y**2 - 888*y + 278. Let t(k) = 23*k**2 - k + 1. Let s(q) = 2*p(q) - 28*t(q). Factor s(v).
4*(v - 1)*(v + 44)*(7*v - 3)
Let a(i) be the first derivative of 4*i**3/15 - 638*i**2/5 - 256*i + 3288. Let a(q) = 0. Calculate q.
-1, 320
Let t(y) be the second derivative of y**5/150 - 3*y**4/20 + 6*y**3/5 + 25*y**2 + 44*y. Let f(s) be the first derivative of t(s). Factor f(h).
2*(h - 6)*(h - 3)/5
Let g = 31/69 + 5/23. Suppose -4*p = 5*h - 40, -4*h - 456 + 488 = 2*p. Factor 1/6*q**5 - 8/3*q - g*q**4 + 0 + 8/3*q**2 + p*q**3.
q*(q - 2)**3*(q + 2)/6
Suppose 0 = 16*v - 2*v + 924. Let z be (-2)/(-7) - v/14. Factor -21*s**2 - 4*s**2 - 170 + z*s**3 + 170 + 15*s + 5*s**4.
5*s*(s - 1)**2*(s + 3)
Let f(h) be the third derivative of h**7/150 - 17*h**6/150 + 31*h**5/60 + 5*h**4/12 + 796*h**2. Factor f(k).
k*(k - 5)**2*(7*k + 2)/5
Let v(f) be the first derivative of f**5/30 + f**4/18 + 49*f - 28. Let b(o) be the first derivative of v(o). Factor b(x).
2*x**2*(x + 1)/3
Factor -47 - 40*h**2 - 6*h**3 - 2*h**3 - 3*h**3 + 6*h**3 - 63 + 155*h.
-5*(h - 2)*(h - 1)*(h + 11)
Find w such that -923/4*w - 747/4*w**3 + 9/8*w**4 - 42 - 3013/8*w**2 = 0.
-1, -2/3, -1/3, 168
Suppose 70*c = 339*c - 1345. Let o(s) be the first derivative of 15/2*s**2 + 3/5*s**c + 6 - 3*s**3 - 6*s - 3/4*s**4. Factor o(r).
3*(r - 1)**3*(r + 2)
Find w, given that 382*w + 69 + 30 + 57 + 96 + 132*w**2 + 2*w**3 = 0.
-63, -2, -1
Suppose -24458*w + 106 = -24405*w. What is f in 13/5*f**w + 0 + 6/5*f + 8/5*f**3 + 1/5*f**4 = 0?
-6, -1, 0
Let x be (-4)/10 - (4 - (-17)/(43605/(-11376))). Let u(d) be the first derivative of -4/19*d**2 + 10/19*d - x*d**3 + 30. Factor u(b).
-2*(b - 1)*(b + 5)/19
Suppose 79 = y + 3*m + 724, 0 = -5*y + 2*m - 3140. Let x be (-6)/(-20) - (-189)/y. Determine w, given that -4*w**2 - 8/5*w - 16/5*w**3 - 4/5*w**4 + x = 0.
-2, -1, 0
Factor -1024*q**3 + 9*q**2 + 62*q**2 - 1800 - 199*q**2 + 1704*q + 1236*q.
-4*(q + 2)*(16*q - 15)**2
Let m(t) be the first derivative of t**5/60 + t**4/36 - t**3/18 - t**2/6 + 90*t - 51. Let b(x) be the first derivative of m(x). Factor b(d).
(d - 1)*(d + 1)**2/3
Let i(q) be the third derivative of -150*q**2 + 14641/252*q**7 + 0*q - 55/144*q**4 + 1/36*q**3 + 121/36*q**5 - 161051/2016*q**8 + 0 - 1331/72*q**6. Factor i(w).
-(11*w - 1)**5/6
Let s(r) = -1475*r + 5904. Let x be s(4). Factor -18/5*v**2 + 12/5*v**3 - 3/5*v**x - 3/5 + 12/5*v.
-3*(v - 1)**4/5
Let w(h) = -5 + 0*h**2 - h**2 - 11 - 20 + 21*h. Let x be w(19). What is n in 4/3*n**x + 0 + 4/3*n = 0?
-1, 0
Let u be (-79)/(-8) + (-10)/(-80). Suppose 64*q - 216 = u*q. Factor -4/7*x**2 + 4/7*x**q + 4/7*x - 4/7*x**3 + 0.
4*x*(x - 1)**2*(x + 1)/7
Let d(a) be the first derivative of -a**6/36 - 11*a**5/30 - 11*a**4/8 - 5*a**3/18 + 25*a**2/6 + 486. Suppose d(y) = 0. What is y?
-5, -2, 0, 1
Let 246/23*o - 110/23*o**2 - 12/23*o**3 + 44/23 = 0. What is o?
-11, -1/6, 2
Factor 0*l + 0 + 32/7*l**3 + 0*l**2 - 2/21*l**4.
-2*l**3*(l - 48)/21
Suppose 0*v = v + 5*h - 296, -2*v + 5*h + 592 = 0. Solve v*p**2 + 10 - 281*p**2 - 154 + 354*p = 0.
-24, 2/5
Let z(y) = 19424*y + 116548. Let o be z(-6). Find g, given that 0 + 4/3*g**5 + 17/3*g**o + 13/3*g**2 + 8*g**3 + 2/3*g = 0.
-2, -1, -1/4, 0
Suppose -2*o = -11*y + 14*y - 18, 12 = 3*y + 3*o. Let l(p) be the first derivative of 5/4*p**4 + 16 + y*p - 5/2*p**2 - 5*p**3 + p**5. Factor l(g).
5*(g - 1)**2*(g + 1)*(g + 2)
Find g, given that 19/4*g - 45/2 - 1/4*g**2 = 0.
9, 10
Let w(j) be the first derivative of 2*j**5/25 - j**4/5 - 86*j**3/15 + 16*j**2 + 120*j + 3830. Factor w(v).
2*(v - 5)**2*(v + 2)*(v + 6)/5
Let j = -150 + 152. Factor -4*v**2 - 355*v**3 + 0 - 5*v + 354*v**3 - j.
-(v + 1)**2*(v + 2)
Let l = -34 - -59. Suppose -f - 17 = 4*b, 2*f - 6 = -5*b - l. Factor -48*y + y**3 + 8*y**2 + 7*y**3 - 32 - y**3 + 5*y**f.
4*(y - 2)*(y + 2)*(3*y + 2)
Suppose 4*w - r + 15320 = 15333, -4 = 5*w - 8*r. Find a such that -1/2*a**2 + 0*a + 4/3*a**3 + 0 - 4/3*a**5 + 1/2*a**w = 0.
-1, 0, 3/8, 1
Suppose -5*t + 44 = -16. Factor 127*g**2 - 2*g + 5*g + t - 2*g**3 + 7*g - 131*g**2.
-2*(g - 2)*(g + 1)*(g + 3)
Suppose 42*l - 12*l = -180. Let d be 1720/1419 - (-4)/l. Let -2/11*j**2 + 0 + d*j = 0. Calculate j.
0, 3
Let t(d) be the first derivative of 2/7*d**2 - 1/14*d**4 + 86 + 0*d + 2/21*d**3. Factor t(z).
-2*z*(z - 2)*(z + 1)/7
Let v(c) = c**3 - 33*c**2 + 4*c - 4. Let s be v(33). Factor -352*z + 115*z - 28*z**2 - 203*z + s.
-4*(z + 16)*(7*z - 2)
What is m in m - 1/4*m**4 + 1 - 3/4*m**2 - m**3 = 0?
-2, -1, 1
Let w(k) = -714*k**3 - 5*k**2 - 4*k + 1424*k**3 - 700*k**3 + 8. Let n(c) = 52*c**3 - 24*c**2 - 20*c + 40. Let f(a) = 3*n(a) - 16*w(a). Factor f(u).
-4*(u - 2)*(u - 1)*(u + 1)
Suppose 8280*v - 16928 + 183/2*v**2 + 1/4*v**3 = 0. What is v?
-184, 2
Let m(x) be the third derivative of -2*x + 2*x**2 - 1/16*x**6 + 0*x**3 + 11/360*x**5 + 0*x**4 + 0 + 1/315*x**7. Factor m(k).
k**2*(k - 11)*(4*k - 1)/6
Let z = 880 - 878. Let n be -2*2/(-16)*(z + 28). What is c in -2*c**5 + 13/2*c**4 - n*c**3 + 7/2*c**2 + 0 - 1/2*c = 0?
0, 1/4, 1
Suppose v - b - 387 = 0, -6 = -2*b + 5*b. Let p be (20/v)/((-18)/(-63)). Factor -8/11*g**2 - 10/11*g - 4/11 - p*g**3.
-2*(g + 1)**2*(g + 2)/11
Let k(f) be the first derivative of 1/30*f**3 - 1/100*f**5 + 6 - 3/10*f**2 + 2*f + 1/20*f**4. Let q(m) be the first derivative of k(m). Factor q(o).
-(o - 3)*(o - 1)*(o + 1)/5
Factor 203*i**2 - 20*i**4 + 5*i**5 + 42 - 2*i**2 - 30*i**3 + 34 - 41*i**2 - 175*i - 16.
5*(i - 4)*(i - 1)**3*(i + 3)
Let k be -21*(-27)/252 + -1 + 472/32. Find h such that -2/5*h**5 - 24/5 - k*h - 102/5*h**2 - 62/5*h**3 - 18/5*h**4 = 0.
-3, -2, -1
Suppose -44*w - 2910 + 3040 = 21*w. Factor 16*h - 4/3*h**3 + 80/3 - 12*h**w.
-4*(h - 2)*(h + 1)*(h + 10)/3
Let o = -3/38528 - -28899/38528. Factor 9/4 - 3/2*k - o*k**2.
-3*(k - 1)*(k + 3)/4
Solve -14/15*x**2 - 2/5*x**3 + 2/15*x**5 + 2/5*x**4 + 4/5*x + 0 = 0 for x.
-3, -2, 0, 1
Let h be 14464/36 + 24/108. Factor -h + 786 - 396 + t**2 + t.
(t - 3)*(t + 4)
Let q(l) = 177*l - 352. Let t be q(2). Let s(i) be the first derivative of -4*i**t - 34 + 1/6*i**3 + 1/8*i**4 + 10*i. Factor s(z).
(z - 2)**2*(z + 5)/2
Let g(b) be the first derivative of b**6/40 - b**5/20 + 15*b**2 - 2*b + 13. Let j(z) be the second derivative of g(z). Factor j(r).
3*r**2*(r - 1)
Let p = 244431/2 + -122215. Determine y, given that p*y - 1 - 1/2*y**3 + y**2 = 0.
-1, 1, 2
Let w(m) be the third derivative of -289/33*m**3 + 0 + 17/66*m**4 + m - 1/330*m**5 + 11*m**2. Factor w(k).
-2*(k - 17)**2/11
Let j = -30 - -30. Let i(f) be the third derivative of j*f**4 + 0 + 1/30*f**5 + 0*f + 10*f**2 - 1/3*f**3. Factor i(u).
2*(u - 1)*(u + 1)
Let b(m) be the second derivative of 1/7*m**5 + 15*m + 16/21*m**4 + 0 + 0*m**2 + 32/21*m**3 + 1/105*m**6. What is u in b(u) = 0?
-4, -2, 0
Factor -69/5*t**2 + 1451/5*t - 42/5.
-(t - 21)*(69*t - 2)/5
Let s be 0/(0 - -7)*8/(120/5). Factor 243/2*x - 189/2*x**2 - 3/2*x**4 - 51/2*x**3 + s.
-3*x*(x - 1)*(x + 9)**2/2
Suppose 382*b - 78*b - 1944 = 30*b + 31*b. Find j such that -136/5*j + b - 14/5*j**2 = 0.
-10, 2/7
Let p(h) be the first derivative of -35*h - 130 - 5/3*h**3 - 20*h**2. Factor p(g).
-5*(g + 1)*(g + 7)
Let x(d) be the third derivative of -30*d**2 + 1/180*d**5 - 1/9*d**4 + 0*d - 1/2*d**3 + 0. Factor x(q).
(q - 9)*(q + 1)/3
Let y(b) = -b**2 - 2*b + 2. Let v = -71 + 71. Let o be y(v). Factor 3*f**3 + 0*f**3 - 6*f**o + 2*f**3 - 2*f**3.
3*f**2*(f - 2)
Let z(c) = 65*c**3 + 945*c**2 + 920*c - 1885. Let a(v) = -12*v**3 + v**2 + 3*v - 1. Let d(w) = 5*a(w) + z(w). Determine x, given that d(x) = 0.
-189, -2, 1
Let -1/3*i - 3*i**5 - 14 + 10/3*i**3 + 140*i**2 - 126*i**4 = 0. What is i?
-42, -1, -1/3, 1/3, 1
Let f(u) be the first derivative of -27*u**4/4 - 7*u**3 + 273*u**2 - 120*u - 950. Factor f(a).
-3*(a - 4)*(a + 5)*(9*a - 2)
Suppose -41*p - 10 = -46*p. Factor 62*b**2 + 5*b**3 + 94*b**2 - 201*b**p.
5*b**2*(b - 9)
Determine l, given that 0 + 2/3*l**3 - 46*l - 40/3*l**2 = 0.
-3, 0, 23
Suppose 5*t + 4*i + 20 = 0, 4*i = -4*t + 3*i - 5. Suppose t = 2*s - o - 4, 6*s - s - 10 = -o. Solve -5*w - 2*w - w**2 - 8 - w - w**s = 0 for w.
-2
What is a in -992528470 + 3215535*a - 6945/2*a**2 + 5/4*a**3 = 0?
926
Let f(o) be the first derivative 