. Let h(j) = 6*b(j) - 5*l(j). Factor h(o).
-3*(o - 12)**2*(o + 1)
Let q(v) = -3*v + 70. Let t be q(-6). Factor 269*c**2 + 113*c**4 + 120 + 403*c**2 - 109*c**4 - t*c**3 - 1960*c + 1252.
4*(c - 7)**3*(c - 1)
Let 320 + 1592/5*s + 392/5*s**2 - 2/5*s**3 = 0. What is s?
-2, 200
Let b(x) be the first derivative of 1/6*x**4 + 0*x - 97 + 0*x**2 - 4/15*x**5 - 1/9*x**6 + 4/9*x**3. Determine m, given that b(m) = 0.
-2, -1, 0, 1
Let n = 147811/9 - 16423. Let 2*z**3 - 8/9*z**4 - 2*z + n*z**2 + 4/9 = 0. What is z?
-1, 1/4, 1, 2
Let u(f) be the third derivative of f**6/40 + 33*f**5/20 - f**4/8 - 33*f**3/2 - 1413*f**2. Suppose u(a) = 0. Calculate a.
-33, -1, 1
Let r(p) be the first derivative of p**6/3 + 6*p**5/5 + p**4 - 4*p**3/3 - 3*p**2 - 2*p + 1233. Factor r(b).
2*(b - 1)*(b + 1)**4
Let r(f) = -3*f**3 - f - 1. Let x be r(-1). Suppose 135*m = -2*v + 130*m - 4, v = -3*m - x. Factor 0 - 2/7*d**2 - 1/7*d - 1/7*d**v.
-d*(d + 1)**2/7
Let g(m) be the first derivative of 5*m**6/22 - 43*m**5/55 - 3*m**4/22 - 2368. Factor g(x).
x**3*(x - 3)*(15*x + 2)/11
Let v be (-11 + 10)/((-1)/5). Suppose 2*d + k - 11 = 0, 4*d - 16 - 21 = -v*k. Suppose 5*a**3 + 11*a**3 + 114*a**2 - 96 + 192*a - a**d = 0. What is a?
-4, 2/5
Let b = 50657 - 50653. Factor -1/2*f + 0*f**b - 1/3 + 1/3*f**2 + 2/3*f**3 - 1/6*f**5.
-(f - 2)*(f - 1)*(f + 1)**3/6
Determine x, given that 2*x**4 - 66*x**2 + 371030 - 371030 - 54*x - 22*x**3 + 12*x**3 = 0.
-3, -1, 0, 9
Let 82/11*t**2 - 8064/11 - 480/11*t - 2/11*t**3 = 0. Calculate t.
-7, 24
Let j = -444 + 480. Let m be (j/(-441))/((2/7)/(-1)). Let 2/7*o**2 + m*o**3 + 0*o + 0 = 0. Calculate o.
-1, 0
Suppose 0 = 10*u - 16*u + 60. Let k be (-36)/(-8)*u/15. Let -z**k - 5*z + z**3 - 10*z**4 - z**3 - 10 + 30*z**2 - 4*z**3 = 0. Calculate z.
-2, -1/2, 1
Suppose -5*g + 3 = 5*f - 22, -2*g + 5*f + 3 = 0. Suppose -t**2 - 3*t**4 - 2*t**2 + t + 4 - 5*t + 10*t**3 - g*t**2 = 0. Calculate t.
-2/3, 1, 2
Let x(j) = -3*j**4 - j**3 - 2*j**2 + j. Let a(i) = 59*i**4 - 1201*i**3 + 9702*i**2 - 26371*i + 2048. Let c(u) = -a(u) - 3*x(u). Factor c(t).
-2*(t - 8)**3*(25*t - 2)
Let i(q) be the second derivative of 40/3*q**3 + 1/6*q**4 + 7*q - 2 + 400*q**2. Factor i(u).
2*(u + 20)**2
Let v = -111 + 113. Let q(y) be the first derivative of 13 + 4/3*y**v + 2/9*y**6 + 28/9*y**3 + 4/3*y**5 + 3*y**4 + 0*y. Solve q(o) = 0.
-2, -1, 0
Let k(o) be the second derivative of o**7/13860 - 7*o**6/3960 + o**5/55 + o**4/4 + o**3 + 15*o + 1. Let z(s) be the third derivative of k(s). Factor z(d).
2*(d - 4)*(d - 3)/11
Let i(b) = 6*b**2 + 26209*b + 28697814. Let q(w) = 3*w**2 + 13101*w + 14348907. Let g(k) = 3*i(k) - 5*q(k). Factor g(c).
3*(c + 2187)**2
Let i be ((-235)/(-15) - 15)/((-2)/(-45)). Let u be 35/i*(72/30 - 2). What is l in -2/3*l**4 - 2/15*l**5 + 2/15*l**2 + 16/15*l - u*l**3 + 8/15 = 0?
-2, -1, 1
Suppose 0 = -5*c - 2*g + 14 + 38, 4*g + 64 = 4*c. Factor 19*o**2 - 23*o - 5*o**4 + 35*o**3 - c*o - 14*o**2.
-5*o*(o - 7)*(o - 1)*(o + 1)
Factor -1/4*q**2 - 30*q - 59.
-(q + 2)*(q + 118)/4
Find u such that -378/17*u**4 + 17670/17*u**3 + 0 + 18050/17*u**2 + 0*u + 2/17*u**5 = 0.
-1, 0, 95
Suppose -3*p - 2*d = -4, -2*d = -2*p - 40435 + 40441. Determine q so that -86/11*q**p - 24/11*q**3 - 56/11 - 120/11*q - 2/11*q**4 = 0.
-7, -2, -1
Let q(u) be the third derivative of -2*u**7/105 + 19*u**6/15 + 8*u**5 + 61*u**4/3 + 82*u**3/3 - 69*u**2 - 2*u. Factor q(v).
-4*(v - 41)*(v + 1)**3
Let 14*l + 18/7*l**2 - 2/7*l**3 + 78/7 = 0. What is l?
-3, -1, 13
Let t(l) be the third derivative of -l**6/840 + 29*l**5/210 + 59*l**4/168 - 38*l**2 + 5*l. Factor t(a).
-a*(a - 59)*(a + 1)/7
Suppose 58 = -4*q - 5*b, -7*q = -9*q - 5*b - 64. Factor -3/5 - q*l**2 - 18/5*l.
-3*(l + 1)*(5*l + 1)/5
Let h(r) be the second derivative of -r**8/112 + 3*r**7/70 - 13*r**2/2 + 200*r. Let q(w) be the first derivative of h(w). Determine y so that q(y) = 0.
0, 3
Let x = -6117 + 6119. Let f(t) be the third derivative of 2/33*t**3 - 9/110*t**6 - 23/132*t**4 + 0*t - 44*t**x + 5/22*t**5 + 0. Find d such that f(d) = 0.
1/6, 2/9, 1
Suppose -46*d + 1480 = -9*d. Let a be ((-75)/18 + 2)*d/(-130). Factor -1/3*s + 0 - 1/3*s**5 + a*s**3 + 0*s**2 + 0*s**4.
-s*(s - 1)**2*(s + 1)**2/3
Let k = 1783/420 - 83/20. Let x(h) be the first derivative of -11 + 4/7*h**2 - 6/7*h - k*h**3. Factor x(g).
-2*(g - 3)*(g - 1)/7
Let x(p) be the first derivative of 93/16*p**2 - 33 - 29/8*p**3 - 3/4*p. Factor x(w).
-3*(w - 1)*(29*w - 2)/8
Let x = -3/3391 - 250901/37301. Let s = x + 181/22. Factor -4*v**2 + v**4 + 0 + 1/2*v**5 - 2*v - s*v**3.
v*(v - 2)*(v + 1)**2*(v + 2)/2
Suppose -4*d**3 - 39 + 328*d**2 - 263 + 0*d - 26 + 4*d = 0. Calculate d.
-1, 1, 82
Let l(v) = 2*v + 22. Let c be l(-9). Let q be 6/24 + 2 - 2/8. Factor -3 + 15*m - 22*m - c*m**2 + 2*m**q.
-(m + 3)*(2*m + 1)
Let n(k) be the second derivative of k**4/6 + k**2/2 + 29*k - 2. Let l(i) = 5*i**2 + 27*i - 20. Let r(g) = l(g) - 4*n(g). Factor r(p).
-3*(p - 8)*(p - 1)
Let b(z) be the second derivative of z**8/840 - z**7/140 + z**3/3 + 9*z**2/2 - 2*z + 10. Let c(p) be the second derivative of b(p). Factor c(s).
2*s**3*(s - 3)
Let l(q) = 3*q**2 + 5*q + 18. Let o be l(-4). Suppose -111 = -o*c + 9*c. Factor 1/3*a**c + 64/9*a + 26/9*a**2 + 32/9.
(a + 4)**2*(3*a + 2)/9
Let -89/3*o + 1/3*o**2 - 92 = 0. What is o?
-3, 92
Suppose 26372*b = 26266*b + 636. Let h(v) be the first derivative of 2/7*v**4 + 0*v - 2 + 0*v**3 - 8/35*v**5 + 1/21*v**b + 0*v**2. Factor h(x).
2*x**3*(x - 2)**2/7
Let d = -29981 - -29983. Let z(u) = u**2 + u + 2. Let o be z(-2). Factor -4*k**2 + 4/3*k + 13/3*k**3 + 0 + 1/3*k**5 - d*k**o.
k*(k - 2)**2*(k - 1)**2/3
Factor 398/3*w**2 + 2/3*w**4 - 66*w - 202/3*w**3 + 0.
2*w*(w - 99)*(w - 1)**2/3
Let v(k) = k**2 - k + 3. Let n be v(-3). Suppose 18 = r + n. Suppose -6*s**2 - r + 9 - 2*s + 5*s - 3*s**3 = 0. What is s?
-2, -1, 1
Let w(v) = 99*v**3 - 465*v**2 + 627*v + 201. Let n(m) = -25*m**3 + 116*m**2 - 157*m - 50. Let c(p) = 15*n(p) + 4*w(p). Factor c(x).
3*(x - 3)**2*(7*x + 2)
Let r(z) be the first derivative of z**6/40 - 3*z**5/20 + z**4/4 + 24*z**2 - 35. Let i(c) be the second derivative of r(c). Factor i(w).
3*w*(w - 2)*(w - 1)
Let x be 17/(-85) + (-286)/(-55). Let b(f) be the second derivative of 3/10*f**x + 0 - 1/10*f**6 - f**3 + 1/4*f**4 + 26*f + 0*f**2. Let b(a) = 0. Calculate a.
-1, 0, 1, 2
Let j(m) be the first derivative of 169*m**4/3 + 286*m**3/3 + 60*m**2 + 50*m/3 + 1282. Let j(u) = 0. Calculate u.
-1/2, -5/13
What is o in -3/2*o**3 - 2664*o - 5280 - 342*o**2 = 0?
-220, -4
Let a(v) = v**3 + 5*v**2 + 5*v - 3. Let c be 7/(441/(-183)) + (-4)/42. Let r be a(c). Factor 2/3*n**2 + 2/9*n + r.
2*n*(3*n + 1)/9
Let o = -2 - -56. Factor -o*m + 36 + 17*m + 13*m + 18*m**3 - 27*m**2 - 3*m**4 + 12*m.
-3*(m - 3)*(m - 2)**2*(m + 1)
Let r(a) = 61*a**2 - 893*a + 876. Let u(c) = 14*c**2 - 2*c - 1. Let d(j) = -r(j) + 4*u(j). Solve d(l) = 0 for l.
1, 176
Let k = -787039/39 - -20185. Let y = -50/13 + k. What is b in -2/3*b**2 - y*b + 0 = 0?
-1, 0
Let h(l) = -l**2 + 6*l - 2. Let f(p) = 3*p + 54. Let t(o) = -f(o) - h(o). Factor t(n).
(n - 13)*(n + 4)
Let p(x) be the first derivative of x**5/5 - 5*x**4/4 - x**3 + 17*x**2/2 - 10*x + 729. Factor p(u).
(u - 5)*(u - 1)**2*(u + 2)
Let u = -1099764 - -3299294/3. Determine l so that -2/3 + 1/9*l**5 - 2/9*l**3 + 1/9*l - u*l**4 + 4/3*l**2 = 0.
-1, 1, 6
Let l(k) be the third derivative of 5*k**6/27 + 34*k**5/3 + 867*k**4/4 + 711*k**2 + 1. Suppose l(m) = 0. What is m?
-153/10, 0
Suppose 2*p = -5*b + 185, -4*p - 2*b - 52 = -462. Let m be ((-14)/(-5))/(336/p). Determine f, given that 1/8 + m*f**2 - 5/8*f - 3/8*f**3 = 0.
1/3, 1
Factor 16/9 - 482/9*d + 20/3*d**2.
2*(d - 8)*(30*d - 1)/9
Let p be 2805/(-1650)*(-2720)/88. Solve 8/11 + p*v**2 - 136/11*v = 0 for v.
2/17
Suppose 3*p = -5*b + 268, -3*p - 2*b + 362 = p. Suppose -o - 87 = -p. Find y such that -y**2 - 34*y - 26*y - y**3 + y**o + 61*y = 0.
-1, 0, 1
Let c = 538 - 510. Factor -3*b**2 - 20*b - c - 1 - 31 + 6*b**2 + 2*b**2.
5*(b - 6)*(b + 2)
Suppose -q - 10 = -7. Let f be -5 + 30/q*-1. Factor -2*w**4 - 4*w**5 + 5*w**4 - 5*w**f + 6*w**5.
-3*w**4*(w - 1)
Suppose -d**3 + 119*d**2 + 159658 + 69*d - 159543 - 161*d - 2*d**2 - 139*d = 0. Calculate d.
1, 115
Suppose -4*y = -2*l + 14, 5*l = -3*y + 2*y + 2. Let g be (-74)/(-4) + y/2. What is x in 60*x**2