of -3/5*k**5 - 4 + 0*k - 3*k**2 - 5*k**c - 3*k**4. Let b(d) = 0. What is d?
-2, -1, 0
Let a(d) = -d**4 + d**2 - 1. Let g(r) = -11*r**4 - 5*r**3 + 9*r**2 + 5*r - 7. Let l(y) = -36*a(y) + 4*g(y). Suppose l(o) = 0. What is o?
-2, -1, -1/2, 1
Suppose 11 = -5*v + v + 5*u, -3*u = 3. Let q be 298/91 - v/26. Factor 18/7*y**2 - 4/7*y**3 + 8/7 - q*y.
-2*(y - 2)**2*(2*y - 1)/7
Let s(w) be the first derivative of w**6/30 - 2*w**5/25 - 13*w**4/20 - 2*w**3/3 - 54. Factor s(q).
q**2*(q - 5)*(q + 1)*(q + 2)/5
Let x(i) be the second derivative of -i**7/98 - 5*i**6/14 - i + 250. Let x(a) = 0. Calculate a.
-25, 0
Let n(c) = 113*c**2 - 53*c - 11. Let q(m) be the third derivative of -17*m**5/6 + 10*m**4/3 + 8*m**3/3 - 2*m**2. Let i(o) = 8*n(o) + 5*q(o). Factor i(f).
2*(3*f - 2)*(9*f + 2)
Let n(j) = -j**2 - 12*j - 14. Let y be n(-10). Suppose -23*k + 21*k = -y. Factor -2*u**5 - 2*u**2 + 8*u**3 + 4*u**k + 2*u**4 - 10*u**3.
-2*u**2*(u - 1)**2*(u + 1)
Let h(j) = -3*j**3 + 72*j**2 - 579*j + 1536. Let l(g) = -g. Let x(f) = h(f) - 3*l(f). Suppose x(r) = 0. What is r?
8
Let o(c) = c**2 + 2. Let t be (-1 + 7 - 1) + -3. Let r(b) = 9 + t*b**2 + 6*b**2 - 3*b**2. Let k(x) = 9*o(x) - 2*r(x). Factor k(n).
-n**2
Let q(l) = 3*l**2 + 8*l - 63. Let h(f) = -4*f**2 - 7*f + 65. Let i(y) = -2*h(y) - 3*q(y). Let r be i(-14). Factor -3/7*w + 4/7*w**2 - 18/7 + 1/7*w**r.
(w - 2)*(w + 3)**2/7
Let o be (25/(-15) - -3)/((-42)/(-6939)). Let h = o - 218. Factor 4/7*c**2 - 16/7 + 4/7*c**3 - h*c.
4*(c - 2)*(c + 1)*(c + 2)/7
Let g be 2/5 - (-3)/5. Suppose 0 = -106*n - 34 + 458. Suppose -1/4*a**n - g + 3/4*a**2 + a - 1/2*a**3 = 0. What is a?
-2, 1
Let k(m) = 16*m**3 - 1497*m**2 + 139875*m + 141379. Let a(f) = 44*f**3 - 4492*f**2 + 419624*f + 424136. Let v(i) = -3*a(i) + 8*k(i). Solve v(w) = 0 for w.
-1, 188
Let g be (280/175)/(4/5). Let s(k) be the first derivative of 3*k**3 - 15/2*k**g - 6*k + 9. What is h in s(h) = 0?
-1/3, 2
Let a(v) = -3*v + 14. Let h be a(11). Let b = h + 21. Determine g so that 2/5*g**b - 8/5 + 0*g = 0.
-2, 2
Factor -3/2*m**3 + 21 + 57/2*m + 6*m**2.
-3*(m - 7)*(m + 1)*(m + 2)/2
Factor 0 + 4*j - 1/2*j**2.
-j*(j - 8)/2
Let v = -299 - -301. Let a(y) be the third derivative of 1/8*y**4 + 0*y**3 + 0*y - 1/20*y**5 + y**v + 0. Let a(o) = 0. Calculate o.
0, 1
Let s be 2*161/140 + 4/(-2). Let a(v) be the second derivative of 0*v**2 + 0 + 5*v + 5/12*v**4 + s*v**5 + 1/6*v**3. Determine c, given that a(c) = 0.
-1/2, -1/3, 0
Let p(x) = 20*x**3 - 48*x**2 + 88*x - 32. Suppose 2*z + 10 = -6. Let l(k) = k**3 + k**2 + k. Let n(b) = z*l(b) + p(b). Determine y, given that n(y) = 0.
2/3, 2
Let b be 78/12 + (-3)/2. Suppose 3*s - 7 = 4*q, b*q - s - 15 = -2*s. Solve -2*z**5 - q*z**3 + z - 4*z**4 - z = 0.
-1, 0
Let f(l) be the second derivative of 7*l + 0 + 0*l**2 - 1/4*l**3 - 1/16*l**4 + 3/40*l**5 + 1/40*l**6. Factor f(h).
3*h*(h - 1)*(h + 1)*(h + 2)/4
Let b be (-106)/(-34) + 90/(-765). Solve c**2 + 4/5*c**b + 2/5*c + 1/5*c**4 + 0 = 0 for c.
-2, -1, 0
Let g(u) = u**2 - 82*u - 918. Let h be g(-10). Suppose -2*m + 0*m + 2*i - 2 = 0, -2 = -2*i. Factor 2/15*q + 2/15*q**h + m.
2*q*(q + 1)/15
Let c = 4015 - 20072/5. Determine g, given that -3/5 + 1/5*g + c*g**2 - 1/5*g**3 = 0.
-1, 1, 3
Let m(u) be the second derivative of -6*u + 35/12*u**4 - 11/3*u**3 + 2*u**2 + 0 - 5/8*u**5. Factor m(h).
-(h - 2)*(5*h - 2)**2/2
Let b(c) be the first derivative of -c**5/80 + c**3/24 + 12*c + 5. Let j(z) be the first derivative of b(z). Factor j(h).
-h*(h - 1)*(h + 1)/4
Factor 2*z + 2/9*z**2 + 0.
2*z*(z + 9)/9
Let d(o) be the third derivative of 1/24*o**6 + 0*o - 5/24*o**4 + 0*o**5 + 0 - 6*o**2 + 0*o**3. Find i, given that d(i) = 0.
-1, 0, 1
Factor 156/5 - 44*i - 4/5*i**3 + 68/5*i**2.
-4*(i - 13)*(i - 3)*(i - 1)/5
Suppose 19*f**4 + 12*f**2 + 159*f - 159*f - 21*f**4 - 4*f**2 = 0. Calculate f.
-2, 0, 2
Let n = -88 + 91. Suppose 4*j = 5*p - 23, 0 = 3*p + n*j - 2 - 1. Factor -3/7*i**2 + 4/7 + 0*i + 1/7*i**p.
(i - 2)**2*(i + 1)/7
Let n(v) = 4 + 55*v - 56*v - 5. Let a(m) = -3*m**3 - 24*m**2 - 59*m - 50. Let r(z) = a(z) + 4*n(z). Determine i so that r(i) = 0.
-3, -2
Let z = 1967491/84 - 23423. Let y = 5/28 - z. Factor -2/3*x - 4/3 + y*x**2.
2*(x - 2)*(x + 1)/3
Let t(u) be the first derivative of 5/19*u**2 + 2/19*u + 15 - 5/38*u**4 + 12/95*u**5 - 14/57*u**3. Solve t(k) = 0.
-1, -1/6, 1
Suppose -27*g + 12 = -69. Suppose -3/5 - 12/5*r**2 + 2*r + 6/5*r**g - 1/5*r**4 = 0. Calculate r.
1, 3
Let f(r) be the first derivative of -r**6/4 + r**5/2 - r**4/4 - 89. Let f(a) = 0. What is a?
0, 2/3, 1
Let w be (-18)/(-8) - (11 + -1 + -27 + 19). Find c, given that -1/4*c**3 - 1/4 + w*c + 1/4*c**2 = 0.
-1, 1
Find a such that 3483*a**4 - 3493*a**4 + 14*a**3 - 6*a**2 + 2*a**5 + 0*a**2 = 0.
0, 1, 3
Let k(n) be the second derivative of n**7/42 + n**6/8 + n**5/6 - 13*n**2/2 + 10*n. Let q(c) be the first derivative of k(c). Find b, given that q(b) = 0.
-2, -1, 0
Let b be 6/(-9) - (-2224)/(-60). Let f = b + 38. Find q, given that f - 2/5*q + 2/15*q**2 = 0.
1, 2
Suppose -5*r + 10*r = 3*h - 105, -2*h = -5*r - 75. Let i be (48/h)/((-4)/(-10)). Solve n**2 + 14 + i*n**2 - 20*n - 10 + 11 = 0.
1, 3
Let z = -3021 + 39275/13. Factor 6/13 - 6/13*m**2 + 2/13*m - z*m**3.
-2*(m - 1)*(m + 1)*(m + 3)/13
Let z = 61/45 + 47/45. Suppose 4/5*v + 0 - z*v**2 = 0. What is v?
0, 1/3
Let j(f) be the second derivative of -1/48*f**4 + 0 - 5/24*f**3 - 12*f - 3/4*f**2. Factor j(i).
-(i + 2)*(i + 3)/4
Suppose -20/9 - 34/9*d - 16/9*d**2 - 2/9*d**3 = 0. Calculate d.
-5, -2, -1
Let j be (-384)/(-19 + (-374)/(-44)). Suppose 900/7*u**3 + 16/7 + 1140/7*u**2 + j*u = 0. Calculate u.
-1, -2/15
Suppose 14 + 91 = 15*h. Let -35*u + h*u**2 + 27*u - 7*u**4 + 10*u - 2*u**3 = 0. What is u?
-1, -2/7, 0, 1
Suppose 159*i - 52*i - 428 = 0. Find z such that -2/3 + 4/3*z**2 + 0*z + 0*z**3 - 2/3*z**i = 0.
-1, 1
Let i(j) be the third derivative of -j**8/5040 + j**7/315 - j**6/45 - j**5/6 + 11*j**2. Let n(x) be the third derivative of i(x). Suppose n(z) = 0. Calculate z.
2
Factor -53/4*n - 7/4*n**3 - 39/4*n**2 - 11/2 + 1/4*n**4.
(n - 11)*(n + 1)**2*(n + 2)/4
Let d(k) be the first derivative of 2/35*k**5 - 17 + 1/42*k**6 + 0*k - 3/28*k**4 - 4/21*k**3 + 2/7*k**2. Factor d(h).
h*(h - 1)**2*(h + 2)**2/7
Solve -2*f**5 - 13*f**2 + 6*f**4 - 6*f**3 - 18*f**2 + 33*f**2 + 0*f**3 = 0 for f.
0, 1
Let v = -3 - -6. Let q be ((-3)/v)/((-1)/4). Find j such that -1/2*j**q - 2*j**3 - 2*j - 3*j**2 - 1/2 = 0.
-1
Factor 3*j**3 - 2*j**2 - 27 + 27 - 2*j**3.
j**2*(j - 2)
Let k(w) = -2*w**2 + 2*w + 12. Let x(l) be the first derivative of 2*l**3/3 - l**2 - 12*l + 7. Let s(z) = -5*k(z) - 4*x(z). Factor s(u).
2*(u - 3)*(u + 2)
Let n(j) be the third derivative of -3*j**8/1400 - j**7/350 - j**6/900 - j**3/6 - 7*j**2. Let v(r) be the first derivative of n(r). Factor v(l).
-2*l**2*(3*l + 1)**2/5
Let v(m) be the second derivative of m**5/5 - 8*m**4/3 + 26*m**3/3 - 12*m**2 - 2*m - 24. Factor v(o).
4*(o - 6)*(o - 1)**2
Suppose 16 - 28 + 14*h**2 - 17*h**2 - 15*h = 0. What is h?
-4, -1
Let o = 16 - 44/3. Let f = 448 - 446. Factor o - f*j + 2/3*j**2.
2*(j - 2)*(j - 1)/3
Let q(s) be the second derivative of 4*s**7/63 - 5*s**6/9 + s**5/15 + 25*s**4/18 - 2*s**3/3 + 3*s - 8. Suppose q(d) = 0. Calculate d.
-1, 0, 1/4, 1, 6
Let m(v) = -2*v**2 - 10*v + 2. Suppose -4*o + 40 = -2*x - 3*o, 5*x - 3*o + 100 = 0. Let q(n) = -n. Let j(t) = x*q(t) + 2*m(t). Determine k so that j(k) = 0.
-1, 1
Let i(l) be the first derivative of l**6/6 - 56*l**5/5 + 781*l**4/4 + 166*l**3/3 - 1120*l**2 - 1568*l + 63. Suppose i(r) = 0. What is r?
-1, 2, 28
Suppose 4*p + 1976 = 2*j, 0 = p - 3 - 2. Let b = -2894/3 + j. Factor -40/3*x + 4/3*x**2 + b.
4*(x - 5)**2/3
Let k = -5921/2 + 2965. Factor -k + 15/2*p - 3*p**2.
-3*(p - 1)*(2*p - 3)/2
Let f be 0/(16/(-14) - (-138)/(-161)). Let s(w) be the first derivative of 0*w + f*w**3 + 1/8*w**4 + 0*w**2 - 8. Factor s(k).
k**3/2
Suppose -19 = -6*f - 1. Suppose 6*p - 5*p**2 + 0*p**3 + p**3 + 8*p**2 - 4*p**f = 0. What is p?
-1, 0, 2
Let b(o) = -52*o**3 + 17*o**2 + 7*o. Let f(s) = 17*s**3 - 6*s**2 - 2*s. Let n(x) = -4*b(x) - 14*f(x). Factor n(l).
-2*l**2*(15*l - 8)
Let g(q) = 2*q**2 + 4*q + 10. Let w be g(-3). Let j be w/(-40) - 17/(-30). Let -5/6*l**2 + 0 + 5/6*l**4 + j*l**3 - 1/2*l**5 + 1/3*l = 0. What is l?
-1, 0, 2/3, 1
Suppose -2*v + 