et h(v) be the first derivative of 0*v + 1/21*v**3 + 1/7*v**2 + 5 - p*v**4. Determine f so that h(f) = 0.
-1, 0, 2
Let y be 3 - (-4)/(8/(-6)). Let m(o) be the third derivative of 0*o - 3*o**2 + 1/6*o**3 - 1/30*o**5 + y - 1/24*o**4. Factor m(b).
-(b + 1)*(2*b - 1)
Solve 2/5*a**5 + 24/5 - 64/5*a + 54/5*a**2 - 2*a**3 - 6/5*a**4 = 0 for a.
-3, 1, 2
Let j = 89 + -69. Let h be 3/4 - (-3 - (-65)/j). Factor -1/4*q**2 + 1/4*q + h.
-(q - 2)*(q + 1)/4
Let x(m) be the second derivative of 25*m + 9/13*m**3 + 0 + 1/130*m**5 - 27/13*m**2 - 3/26*m**4. Factor x(j).
2*(j - 3)**3/13
Let h(z) = 7*z**2 + 5*z + 4. Let n(q) = 57*q**2 + 39*q + 33. Let g(j) = -33*h(j) + 4*n(j). Factor g(x).
-3*x*(x + 3)
Let -3 + 67*d**2 + 52*d - 4*d**3 + 63 - 168*d**2 + 89*d**2 = 0. What is d?
-5, -1, 3
Let o(c) be the first derivative of -1/2*c**2 + 25 + 5/3*c**3 - c**4 + 0*c. Determine q, given that o(q) = 0.
0, 1/4, 1
Let x(u) be the third derivative of 0*u - 11*u**2 + 5/24*u**4 + 5/6*u**3 + 1/48*u**5 + 0. Factor x(d).
5*(d + 2)**2/4
Factor 1/3*z**3 - 7/3*z**2 + 16/3 - 10/3*z.
(z - 8)*(z - 1)*(z + 2)/3
Let i(t) be the second derivative of t + 1/40*t**5 - 1/120*t**6 + 0*t**3 + 1/16*t**4 + 0*t**2 + 0. Factor i(l).
-l**2*(l - 3)*(l + 1)/4
Let c be 5*-1 + 1*2 - (671 + -676). Factor 3/4 - 1/4*d**4 + 5/4*d - 3/2*d**3 + 1/4*d**5 - 1/2*d**c.
(d - 3)*(d - 1)*(d + 1)**3/4
Let y(k) be the first derivative of -k**6/240 + 3*k**2 + 11. Let b(z) be the second derivative of y(z). Factor b(v).
-v**3/2
Let f(l) be the first derivative of -7 + 0*l + 1/5*l**2 - 4/15*l**3 + 1/10*l**4. Determine u, given that f(u) = 0.
0, 1
Let n = 796/6195 - -2/413. Factor -n + 2/15*z**2 + 0*z.
2*(z - 1)*(z + 1)/15
Let z(s) be the second derivative of -s**4/12 + 33*s**3/2 + 3*s - 44. Factor z(l).
-l*(l - 99)
Let z = -12 + 15. Suppose j = -0*j + z. Determine a so that -78 - 3*a**4 - 12*a**2 + 78 - 12*a**j = 0.
-2, 0
Solve 23 + 46*o + 287 + 145 + 0*o**2 - 496*o - 5*o**2 = 0.
-91, 1
Suppose -3*q + 7 = -23. Let m be (-8)/q + (-64)/(-55). Suppose 0*j + 14/11*j**5 - m*j**3 + 0*j**2 + 0 - 10/11*j**4 = 0. Calculate j.
-2/7, 0, 1
Find n such that -26*n**2 - 14*n**2 + 61*n - 5*n**3 + 39*n + 24*n - 24*n = 0.
-10, 0, 2
Let j be (-3384)/153 + 2/17. Let a(m) = m**2 + 19*m - 61. Let t be a(j). Suppose 0*f**3 + 0 + 0*f + 0*f**2 - 4/3*f**4 + 10/3*f**t = 0. What is f?
0, 2/5
Let x be (-48)/(-320)*48*(-6)/(-9). Factor 32/5*a + 0 + 48/5*a**2 + 4/5*a**4 + x*a**3.
4*a*(a + 2)**3/5
Let u(f) = 1. Let w = 58 - 50. Let i(d) = 2*d**2 + 2*d + 4. Let k(j) = w*u(j) - i(j). Factor k(b).
-2*(b - 1)*(b + 2)
Find v, given that 49/4*v**2 - 47/4*v**3 + 47/4*v - 12 - 1/4*v**4 = 0.
-48, -1, 1
Let i = -92087/11 + 8373. Find b such that -42/11*b + i*b**4 + 2/11*b**5 + 40/11*b**3 + 20/11*b**2 - 36/11 = 0.
-3, -2, -1, 1
Let q(y) be the first derivative of -3/4*y**4 - 14 + 0*y - 1/4*y**2 + 2/5*y**5 + 2/3*y**3 - 1/12*y**6. Factor q(p).
-p*(p - 1)**4/2
Factor -138/5*m - 36/5*m**2 - 104/5 - 2/5*m**3.
-2*(m + 1)*(m + 4)*(m + 13)/5
Let q = -1 - -8. Let h(a) be the second derivative of -1/10*a**5 + 0*a**2 + 1/21*a**q + 0 + 0*a**4 + 0*a**6 - 3*a + 0*a**3. Solve h(m) = 0.
-1, 0, 1
Let t(q) be the third derivative of -q**8/26880 + q**7/10080 + 4*q**4/3 + q**3/3 + 28*q**2. Let p(w) be the second derivative of t(w). Factor p(m).
-m**2*(m - 1)/4
Let d(n) be the third derivative of n**5/30 - 3*n**4 - 37*n**3/3 + 42*n**2. Suppose d(x) = 0. What is x?
-1, 37
Suppose 81/2*o**4 + 13/2*o**2 - 49 + 207/2*o**3 - 203/2*o = 0. Calculate o.
-2, -7/9, 1
Suppose -20 = -4*j + 3*c - 6, 5*c = -5*j. Let 7*b**2 + 2*b + 28*b**3 - 10*b - 27*b**j = 0. Calculate b.
-2/7, 0, 1
Let u = -1444/5 + 292. Solve 0*t - 28/5*t**4 - u*t**2 + 64/5*t**3 + 0 = 0 for t.
0, 2/7, 2
Let x(z) be the first derivative of 9 - 13/12*z**2 - 16/9*z**3 - 11/15*z**5 - 5/36*z**6 - 19/12*z**4 - 1/3*z. Factor x(q).
-(q + 1)**4*(5*q + 2)/6
Let v(n) be the third derivative of -n**6/120 + n**5/20 + n**4/6 + 421*n**2. Solve v(j) = 0.
-1, 0, 4
Factor 0*a**5 - 24*a**3 + 12*a**2 + 2*a**4 + 6*a**4 + 13*a**4 - 3*a**5 - 6*a**4.
-3*a**2*(a - 2)**2*(a - 1)
Let m(v) = v**3 - 12*v**2 + 14*v - 33. Let l be m(11). Solve l*b**2 - 2/5*b**3 + 2/5*b**4 + 0 + 0*b = 0.
0, 1
Let d be (48/70 - 0) + 19966/335 + -60. Factor 4/7*m**3 + 0*m - d*m**4 + 0*m**2 + 0.
-2*m**3*(m - 2)/7
Let t(g) be the second derivative of -11*g**5/4 - 85*g**4/6 - 5*g**3/2 - 218*g. Determine x so that t(x) = 0.
-3, -1/11, 0
Let i(w) = -2*w**3 - 45*w**2 + 53*w + 692. Let k be i(-23). Factor 3/8 + 5/8*d + 1/8*d**k - 1/8*d**3.
-(d - 3)*(d + 1)**2/8
Let g(l) be the third derivative of -l**5/105 - l**4/3 - 14*l**3/3 - 54*l**2. Factor g(h).
-4*(h + 7)**2/7
Let b(g) = g. Let l(j) = -2*j**2 - 14*j. Let x(z) = 28*b(z) + 2*l(z). Let y(k) = -4*k**2 + k. Let h(v) = 3*x(v) - 4*y(v). Let h(i) = 0. What is i?
0, 1
Let m(v) be the third derivative of -v**6/1140 + 3*v**5/190 + 7*v**4/76 - 245*v**3/57 - 479*v**2. Factor m(y).
-2*(y - 7)**2*(y + 5)/19
Suppose 18 = -35*z + 54*z - 20. Factor 32/13*h + z*h**2 + 8/13 + 6/13*h**3.
2*(h + 2)**2*(3*h + 1)/13
Let z(r) be the first derivative of 0*r**2 + 0*r - 8 + 1/24*r**6 - 1/12*r**3 + 3/16*r**4 - 3/20*r**5. Determine v so that z(v) = 0.
0, 1
Suppose -3/8*o**3 + 0 + 0*o + 57/8*o**2 = 0. What is o?
0, 19
Let c = -35 + 40. Let i(h) be the first derivative of -h**4 + 2*h**2 - 2*h + 3 + 2/5*h**c + 0*h**3. Solve i(j) = 0.
-1, 1
Let z(m) be the second derivative of -m**5/10 - m**4/2 - 331*m. Factor z(h).
-2*h**2*(h + 3)
Let j(h) = -h**2 - h + 1. Let a(u) = u**3 + u**2 + u - 1. Let y = -7 - -5. Let i = y - -5. Let c(k) = i*a(k) + 6*j(k). Factor c(g).
3*(g - 1)**2*(g + 1)
Let j(t) = 9*t**3 + 16*t**2 - 15*t. Let l(u) = 8*u**3 + 16*u**2 - 16*u. Let a(y) = 4*j(y) - 5*l(y). Factor a(m).
-4*m*(m - 1)*(m + 5)
Let h = 4163 + -4161. Factor -2/13 - 8/13*v - 2/13*v**4 - 8/13*v**3 - 12/13*v**h.
-2*(v + 1)**4/13
Find x such that -5/3*x**3 + 1/3*x**5 - 4/3 - 1/3*x**2 + 1/3*x**4 + 8/3*x = 0.
-2, 1
Factor 32*n**2 - 44 + 27*n**2 - 120*n**2 + 48*n + 26*n**2 + 31*n**2.
-4*(n - 11)*(n - 1)
Let h = 1218 - 14615/12. Let y(r) be the first derivative of h*r**2 + 0*r - 1/18*r**3 - 7. Factor y(z).
-z*(z - 1)/6
Let v(y) = -y**4 - 8*y**3 - 51*y**2 - 108*y - 56. Let n(c) = -6*c**4 - 42*c**3 - 255*c**2 - 540*c - 279. Let g(r) = -4*n(r) + 21*v(r). Solve g(u) = 0 for u.
-2, -1, 5
Let v = 2522 - 12608/5. Factor -2/5 - v*i**2 + 4/5*i.
-2*(i - 1)**2/5
Let t = -17212/3 + 5738. Factor 0 + 3/2*l**2 - t*l.
l*(9*l - 4)/6
Suppose -2 = -i - 0. Solve -u**i - u + 3*u**3 - 15*u**2 - 7*u + 12 + 5*u**3 + 4*u**4 = 0.
-3, -1, 1
Suppose -3*c + 11*c + 50 + 5*c + 2*c**2 + 7*c = 0. What is c?
-5
Factor 0*o + 0 - 45/4*o**3 - 3/4*o**5 + 0*o**2 + 12*o**4.
-3*o**3*(o - 15)*(o - 1)/4
Factor 1/5*k**2 + 2/5 - 3/5*k.
(k - 2)*(k - 1)/5
Let r be 34/(-68)*0/2. Let m(g) be the second derivative of -3/4*g**4 + 0*g**3 + 3/20*g**5 + r - 5*g + 0*g**2. Suppose m(y) = 0. What is y?
0, 3
Suppose 4*b = 5*y + 29, 0*b + 28 = 5*b + 2*y. Solve -4*k**2 + k**2 + 9 + b*k - 12 = 0.
1
Suppose -4*n - 5*l = 259, -4*n - 3*l = -7*n - 174. Let z = n + 61. Factor z + 0*h + 2/7*h**2 + 4/7*h**3 + 2/7*h**4.
2*h**2*(h + 1)**2/7
Suppose -3*f + 5*f = 300. Let v be 2/((-665)/2740 - 1/(-4)). Let 156*u**4 - f*u + 6*u**3 + 16 - 26*u**5 - 10*u**5 - v*u**3 + 54*u + 228*u**2 = 0. Calculate u.
2/3, 1
Let 14/9*o**2 + 0*o + 0 + 2/9*o**3 = 0. Calculate o.
-7, 0
Let i(l) = l**2 - 14*l - 25. Let w(v) = 5*v**2 - 49*v - 99. Let h(k) = -9*i(k) + 2*w(k). Suppose h(a) = 0. What is a?
-27, -1
Let w be 30/18 + (-1)/(-3). Suppose -2*q + 1 + 11 = w*j, 4*j - 18 = -3*q. Solve 5 - 3*o**2 + q*o - 5 = 0 for o.
0, 2
Let w be 4 + (-5)/((-35)/(-26)). Factor 0 - 2/7*b - w*b**2.
-2*b*(b + 1)/7
Let s(m) = -66*m - 392. Let l be s(-6). Suppose -2*j + 7*j = 0. Find g, given that g**l - 2/3*g + j - g**2 + 7/3*g**3 - 5/3*g**5 = 0.
-1, -2/5, 0, 1
Suppose 155 = -484*p + 515*p. Find k, given that -5/4*k + 25/4*k**5 + 10*k**4 - 25/2*k**2 - p*k**3 + 5/2 = 0.
-1, 2/5, 1
Find k such that -40960/3 - 2/15*k**2 + 256/3*k = 0.
320
Let x = -11013 - -11015. Factor -12/7*i**3 + 0 + 0*i + 4/7*i**4 + 8/7*i**x.
4*i**2*(i - 2)*(i - 1)/7
Let c(j) = -j**3 + 8*j**2 - 4*j - 50. Let p be c(5). Let a(g) be the third derivative of -1/4*g**4 + 0*g**3 + 0 + 0*g - 6*g**2 - 1/30*g**p. Factor a(v).
-2*v*(v + 3