)*(b + 2)**2/17
Let i(d) be the first derivative of 54 + 0*d**2 + 8/3*d**3 - 2/5*d**5 - 2*d**4 + 1/3*d**6 + 0*d. What is b in i(b) = 0?
-2, 0, 1, 2
Let j(m) be the first derivative of -m**4/32 - 89*m**3/24 + 1102. Solve j(v) = 0.
-89, 0
Let k = 9 - 9. Suppose -2*j - 7 + 11 = k. Let 184*z**4 + 3*z**j - 193*z**4 + 0*z**3 + 0*z**3 + 6*z**5 = 0. Calculate z.
-1/2, 0, 1
Let t(n) = n**2 + 1576*n + 38775. Let s be t(-25). Determine b, given that -b**4 + 0*b + 0*b**3 + 1/2*b**5 + 0*b**2 + s = 0.
0, 2
Factor -4/7*y**4 - 8800/7*y + 624*y**2 + 5888/7 - 712/7*y**3.
-4*(y - 2)**3*(y + 184)/7
Let y(f) = f**3 + 28*f**2 + 65*f + 20. Let k(b) = 3*b**2 + 10*b + 1. Let d(j) = -3*k(j) + y(j). Factor d(o).
(o + 1)**2*(o + 17)
Let f(o) be the third derivative of -o**6/240 - 7*o**5/60 - 13*o**4/48 - 3*o**2 + 7*o - 6. Factor f(t).
-t*(t + 1)*(t + 13)/2
Suppose 86*a - 38*a = 0. Let j(x) be the third derivative of a - 1/8*x**3 - 36*x**2 + 0*x - 1/24*x**4 - 1/240*x**5. Find m such that j(m) = 0.
-3, -1
Let r = 6197/2 - 3315. Let b = 218 + r. Solve -1/2*d**3 - 2 + b*d**2 + 0*d = 0 for d.
-1, 2
Let m = 54218 + -54216. Factor 16*l - 1/2 - 128*l**m.
-(16*l - 1)**2/2
Let i(q) be the first derivative of 45 - 5/3*q**3 - 30*q - 25/2*q**2. Factor i(k).
-5*(k + 2)*(k + 3)
Let x(o) be the second derivative of -1/30*o**5 + 1/4*o**4 + 13*o + 1/2*o**2 - 5/9*o**3 - 3. Solve x(y) = 0.
1/2, 1, 3
Let b(w) be the second derivative of -263*w + 40*w**2 - 1/5*w**5 + 8/3*w**3 + 0 - 5/3*w**4. Factor b(o).
-4*(o - 2)*(o + 2)*(o + 5)
Let w = -1 + 3. Let h = 65 + 278. Determine p so that 104*p - 635 + h*p**w - 41 - 347*p**2 = 0.
13
Let s be 40/8 - 7 - -751. Let g = -747 + s. Factor 147/4 - 21/2*d + 3/4*d**g.
3*(d - 7)**2/4
Let h = 834472 + -1668943/2. Factor 120*l**2 - 1325/4*l**3 - 33/4*l - h.
-(5*l - 1)**2*(53*l + 2)/4
Let o = -104 + 62. Let d = -33 - o. Factor 14*a + 5*a**2 - 3*a - d*a - 12*a.
5*a*(a - 2)
Let a = -592 - -644. Suppose -5*d = 2*x + 8, -5*x + a = -3*d + 72. Factor d*b + 4/7*b**2 + 20/7*b**3 + 16/7*b**4 + 0.
4*b**2*(b + 1)*(4*b + 1)/7
Let o(d) be the first derivative of -3 - 1/4*d**4 - 3/2*d**3 + 0*d**2 + 3*d. Let a(u) be the first derivative of o(u). Factor a(l).
-3*l*(l + 3)
Let r = 40129/12 - 3344. Let a(f) be the first derivative of -19 - 1/16*f**2 - r*f**3 + 0*f - 1/32*f**4. Find v, given that a(v) = 0.
-1, 0
Let q be 5/(-165)*-302 - 104/(-572). Determine k, given that -176/3*k**3 - 64/3*k**4 - 10/3*k + q - 52*k**2 - 2*k**5 = 0.
-7, -2, -1, 1/3
Find d, given that -4484*d - 256 - 4323*d + 13099*d - 2*d**2 - 200 - 4524*d = 0.
-114, -2
Factor -23*u**3 + 1466*u**2 - 3*u**4 + 18*u - 1487*u**2 - 3*u**4 - 4*u**3.
-3*u*(u + 2)*(u + 3)*(2*u - 1)
Suppose -3*m = -3*u + 48, -56 = -5*u + 860*m - 857*m. Suppose 4*l**2 + 4/5*l**u + 0 - 8/5*l - 16/5*l**3 = 0. What is l?
0, 1, 2
Let o(c) = -12*c**3 + 127*c**2 - 291*c + 17. Let v(b) = 4*b**3 - 42*b**2 + 98*b - 6. Let k(d) = -6*o(d) - 17*v(d). What is f in k(f) = 0?
0, 2, 10
Let z be (9 - 5)*(-6 - -5) - -8. Let h(l) be the first derivative of -4 + 2*l**2 - 1/4*l**z + 0*l - l**3. Determine r, given that h(r) = 0.
-4, 0, 1
Suppose 59*o - 121*o = -61*o - 5. Let u(i) be the first derivative of 0*i + 0*i**3 + 0*i**2 - 3/20*i**4 - 3/25*i**o + 3. Find m, given that u(m) = 0.
-1, 0
Let d(o) be the first derivative of o**5/10 - 15*o**4/8 + 49*o**3/6 - 57*o**2/4 + 11*o + 684. Factor d(y).
(y - 11)*(y - 2)*(y - 1)**2/2
Solve -16/5 - 22/15*k**4 + 14/3*k**2 + 2/15*k**5 - 2*k**3 + 28/15*k = 0.
-2, -1, 1, 12
Let c(w) be the third derivative of 0 + 0*w**5 + 1/2520*w**8 + 1/900*w**6 - 76*w**2 + 0*w**4 + 0*w + 0*w**3 + 2/1575*w**7. Let c(y) = 0. Calculate y.
-1, 0
Suppose 10*q - 8*q = 8. Suppose -7 = -q*w + 5. Solve 3*p + 8*p**2 - 2*p**2 + 3*p + w*p + p**3 + 4 = 0.
-4, -1
Let r be (-20)/(-22)*(663/6)/(-13). Let u = r - -521/66. Find a, given that u*a - 1/6*a**3 - 1/3*a**2 + 1/3 = 0.
-2, -1, 1
Let y = 427 - 385. Suppose -6 = q - 2*r, -3 = -43*r + y*r. Factor 0*x**4 - 4/19*x**2 + q - 2/19*x**5 + 6/19*x**3 + 0*x.
-2*x**2*(x - 1)**2*(x + 2)/19
Let j(f) be the second derivative of -2 + 1/15*f**6 - 175450/3*f**3 + 42*f - 83/5*f**5 + 1540*f**4 + 166375*f**2. Factor j(u).
2*(u - 55)**3*(u - 1)
Let r(l) = -l**3 + 9*l**2 - 31*l - 29. Let g(w) = -9*w**3 + 71*w**2 - 249*w - 227. Let y(s) = -2*g(s) + 17*r(s). Factor y(x).
(x - 3)*(x + 1)*(x + 13)
Factor -24*q - 27*q**2 - 412*q - 312*q + 118*q - 600 - 40*q**3 + 43*q**3.
3*(q - 20)*(q + 1)*(q + 10)
Let a(l) be the second derivative of -l**6/6 - 47*l**5/4 + 505*l**4/12 + 245*l**3/2 - 359*l - 2. Factor a(o).
-5*o*(o - 3)*(o + 1)*(o + 49)
Let c(b) be the first derivative of b**3/3 + 664*b**2 + 440896*b + 1990. Let c(z) = 0. Calculate z.
-664
Factor -114/7*w + 0 - 2/7*w**3 - 44/7*w**2.
-2*w*(w + 3)*(w + 19)/7
Let t(f) be the first derivative of -f**6/40 - 3*f**5/20 - f**2 + 4*f + 8. Let d(r) be the second derivative of t(r). Factor d(j).
-3*j**2*(j + 3)
Solve -540*k - 2/7*k**2 - 3778/7 = 0.
-1889, -1
Determine y so that 2*y**4 + 172*y - 135 + 210 - 131 + 25*y**3 - 6*y**4 - 180*y**2 + 43*y**3 = 0.
1, 14
Let n(u) be the first derivative of 35*u**6/6 - 124*u**5 + 900*u**4 - 7250*u**3/3 + 2765*u**2/2 + 1470*u + 1007. Determine s, given that n(s) = 0.
-2/7, 1, 3, 7
Let d(r) = 8*r + 44. Let f be d(-5). Factor -8*v**2 + 4*v**2 - v + 8*v**4 - f*v**2 - 15*v**3 + 35*v**5 - 19*v**5.
v*(v - 1)*(v + 1)*(4*v + 1)**2
Factor 13*t**3 - t**3 - 4*t**2 - 5*t**3 - 9*t**3 + 10*t**3.
4*t**2*(2*t - 1)
Let w = 103 + -101. Solve 2*h**2 + 21 - 2*h**2 - 62*h + 80*h - 3*h**w = 0 for h.
-1, 7
Let k(m) be the first derivative of -8*m**4/7 + 496*m**3/7 + 375*m**2/7 + 94*m/7 + 2942. Let k(z) = 0. What is z?
-1/4, 47
Let w(y) be the first derivative of 4*y**2 + y**3 - 7*y**3 + y**4 - y**3 + 11*y**3 + 22. Factor w(q).
4*q*(q + 1)*(q + 2)
Let o(c) = 6*c**3 + 374*c**2 - 954*c - 774. Let t(n) = n**3 - n**2 + n - 3. Let z(i) = o(i) + 6*t(i). Solve z(r) = 0 for r.
-33, -2/3, 3
Let x(z) = 7*z**2 - 3*z - 2. Let s(c) = 6*c**2 - 3*c - 1. Let i(k) = 4*s(k) - 3*x(k). Let u be i(3). Determine h so that -u*h + 52 + 2*h**2 - 27 + 25 = 0.
5
Let m(w) = -110*w**2 - 260*w + 120. Let p(s) = 18*s**2 + 43*s - 20. Suppose -2*c + c + 2*o + 8 = 0, c = o + 6. Let y(j) = c*m(j) + 25*p(j). Factor y(b).
5*(b + 4)*(2*b - 1)
Suppose -780 - 3140*t + 4013*t**4 - 3028*t**4 - 3005*t**2 + 315*t**3 + 39*t**5 - 14*t**5 = 0. Calculate t.
-39, -1, -2/5, 2
Suppose -40*m + 1193 = -340 + 253. Let l(k) be the first derivative of -k**3 + 9/2*k**2 + m + 12*k. Solve l(o) = 0 for o.
-1, 4
Suppose 4*y - 172 = -4. Factor -18*l - 19*l - 4*l**2 - y*l + 128 - 47*l + 2*l.
-4*(l - 1)*(l + 32)
Let l(i) = -4*i - 1. Let x(r) = -r**2 - 74*r - 845. Let k = 171 - 172. Let w(t) = k*x(t) + 4*l(t). Factor w(s).
(s + 29)**2
Let g = -2394 + 2396. Let j(n) be the first derivative of -30 - 4*n**3 + 16*n + 4/5*n**5 + 8*n**2 - g*n**4. Factor j(v).
4*(v - 2)**2*(v + 1)**2
Let g(m) be the second derivative of 1/10*m**5 + 0*m**3 - 1/15*m**6 - 59*m + 0 - 1/21*m**7 + 0*m**2 + 1/6*m**4. Let g(j) = 0. Calculate j.
-1, 0, 1
Factor 648*v**2 + 9148684 + 7683803 + 4174431 + 666*v**2 - 287766*v - 2*v**3.
-2*(v - 219)**3
Find p such that 4/3 + 91/3*p**2 + 184/3*p = 0.
-2, -2/91
Let q(f) be the second derivative of 231*f - 8/3*f**4 - 272/27*f**3 - 14/45*f**5 - 1/135*f**6 + 0 - 176/9*f**2. Find c such that q(c) = 0.
-22, -2
Determine h so that -26*h**2 + 188*h + 22*h**2 - 2134 + 129 + 85 = 0.
15, 32
Factor 21*t**2 + 1831*t - 4*t**3 + 3 - 1852*t + 1.
-(t - 4)*(t - 1)*(4*t - 1)
Let f(p) be the third derivative of -p**5/20 + 4*p**4 + 33*p**3/2 - 1318*p**2. Factor f(l).
-3*(l - 33)*(l + 1)
Suppose 0*s - 4*s = 6*s. What is t in 30*t**2 + s*t**3 - 6*t**3 - 26*t**2 + 2*t**4 = 0?
0, 1, 2
Let -398 - 1692*y - 583 - 409*y**3 - 4*y**4 + 261 + 138*y**3 + 11*y**3 - 1228*y**2 = 0. Calculate y.
-60, -3, -1
Suppose b = 4*u - 21, 5*b + 2 = 2*u - 31. Factor 290*k**5 - 42*k**u - 72*k**2 - 71*k**3 - 299*k**5 - 6 - 7*k**3 - 33*k.
-3*(k + 1)**4*(3*k + 2)
Suppose 7 = 29*x - 51. Factor -2*i**4 + x*i**2 + 12*i - 12*i**3 + 0*i - 4*i**4 + 4*i**4.
-2*i*(i - 1)*(i + 1)*(i + 6)
Let h = -394555 + 24858149/63. Let w = h - 130/7. Factor 2/9 - w*q**2 - 2/9*q**3 + 2/9*q.
-2*(q - 1)*(q + 1)**2/9
Let -420/11*o - 848/11 + 2/11*o**2 = 0. What is o?
-2, 212
Let l(w) be the third der