3.
-3*(k - 2)*(k + 4)*(k + 6)
Suppose -34/9*v + 0 + 2/9*v**2 = 0. Calculate v.
0, 17
Let x be 1/2*18/9 + 212. Solve x*t**2 - 213*t**2 + t**3 + 4*t**3 = 0 for t.
0
Let t = 103 - 104. Let w(h) be the second derivative of -h**3/6 + 4*h. Let u(v) = -10*v**3 - 14*v**2 - 2*v. Let l(r) = t*u(r) - 2*w(r). Solve l(c) = 0.
-1, -2/5, 0
Suppose 2*c + 2 = -2*f, 3*f = -2*f - 3*c - 3. Let g be (5 + 1 + f)*(-95)/(-855). Factor 1/3*p**2 + g - p.
(p - 2)*(p - 1)/3
Let r(l) = 16 + 13 - 53 + l**2 - 8*l + 20. Let a(j) = 2*j**2 - 20*j - 10. Let k(q) = -5*a(q) + 12*r(q). Factor k(x).
2*(x + 1)**2
Let u(l) be the second derivative of 5/4*l**5 + 35*l - 10/3*l**3 + 0 - 5/42*l**7 + 0*l**2 - 1/2*l**6 + 5/4*l**4. Determine m so that u(m) = 0.
-4, -1, 0, 1
Let j(b) be the first derivative of -6075*b**6/4 - 243*b**5 + 513*b**4 - 8*b**3/3 - 68*b**2 + 16*b + 127. Determine z, given that j(z) = 0.
-2/5, 2/9
Let r(n) be the second derivative of n**8/9240 - n**6/330 + 2*n**5/165 - n**4/44 + 11*n**3/6 - 13*n. Let k(d) be the second derivative of r(d). Factor k(o).
2*(o - 1)**3*(o + 3)/11
Let i(q) be the second derivative of -q**4/9 + 170*q**3/9 + 172*q**2/3 - q - 90. Factor i(t).
-4*(t - 86)*(t + 1)/3
Let r be 24/44 - (-1)/(-22). Let -r*g**5 - 1/2*g**3 + 0 + 0*g + 0*g**2 + g**4 = 0. Calculate g.
0, 1
Let 370/3*y + 200/3 - 62/3*y**2 - 4/3*y**3 = 0. Calculate y.
-20, -1/2, 5
What is r in -r**4 - 7*r**5 + 4*r + 8*r**5 + 0*r**4 - 2*r**5 - 4*r**2 - 3*r**3 + 5*r**4 = 0?
-1, 0, 1, 2
Suppose 189 = 3*k + 21. Let o be 3/(-2)*k/(-21). Solve -o*m**2 - 4/3*m - 1/3*m**5 + 0 - 13/3*m**3 - 2*m**4 = 0 for m.
-2, -1, 0
Let h = -4090/3 - -1364. Let y(l) be the first derivative of 6*l + 3 + 2*l**2 - h*l**3. Factor y(k).
-2*(k - 3)*(k + 1)
Suppose 67*l - 4*j = 65*l + 20, 3*j + 15 = -2*l. Factor l*m + 1/9*m**3 + 0 - 1/9*m**2.
m**2*(m - 1)/9
Suppose 0*h + 0 - 4/3*h**2 - 2/3*h**3 = 0. Calculate h.
-2, 0
Suppose -h + 8 = 7*h. Suppose -14 - h = -3*i. What is a in -5*a**2 - i + a**2 + 4 - 7 - 12*a = 0?
-2, -1
Let g(k) = -15*k**3 + 105*k + 70. Let m(x) = 2*x**3 - 15*x - 10. Suppose 19*q + 40 = 17*q. Let z(s) = q*m(s) - 3*g(s). Factor z(t).
5*(t - 2)*(t + 1)**2
Suppose 6*n = n + 90. Let f = -11 + n. Factor -f*a**3 - a**2 - a**2 + 2 + 0*a**2 - 2*a + 9*a**3.
2*(a - 1)**2*(a + 1)
Let n = -15369/4 + 3843. Let 3/2*i + 0 + n*i**2 = 0. Calculate i.
-2, 0
Suppose 0 = 20*y + 37*y - 197 - 31. Factor 0*b - 7/4*b**y + 0*b**2 + 0 + 1/2*b**3 - 9/4*b**5.
-b**3*(b + 1)*(9*b - 2)/4
Let r(s) be the first derivative of -1/10*s**5 + 0*s**4 - 1/15*s**6 + 0*s**2 + 4 + 2*s + 0*s**3. Let m(o) be the first derivative of r(o). Solve m(k) = 0.
-1, 0
Let u = -1/12442 - -24887/37326. What is l in -u*l**4 + 0*l**2 + 0*l - 2*l**3 + 0 = 0?
-3, 0
Let m(v) = -32*v**5 + 62*v**4 - 60*v**2 + 32*v + 2. Let q(c) = 32*c**5 - 63*c**4 + c**3 + 61*c**2 - 33*c - 1. Let p(g) = 3*m(g) + 4*q(g). Solve p(w) = 0.
-1, 1/16, 1
Suppose 6*d - d - 145 = 0. Let x = 21 - d. Let i(r) = -2*r**3 + 14*r + 4. Let p(b) = b. Let z(n) = x*p(n) + i(n). Solve z(g) = 0 for g.
-1, 2
Suppose -2*i - 6 = -4*i. Let q(a) be the second derivative of 0*a**4 + 1/90*a**5 + 0 + 0*a**2 - 1/27*a**i - 2*a. Solve q(f) = 0 for f.
-1, 0, 1
Suppose -j = 5*y - 8, j = -j + 6. Suppose -2*k - 1 - y = 0, 3*o + k - 35 = 0. Factor 27/2*f**3 + 2*f + o*f**2 + 0.
f*(3*f + 2)*(9*f + 2)/2
Let r(l) be the first derivative of -l**6/42 - 8*l**5/35 + 19*l**4/28 - 10*l**3/21 + 133. Suppose r(i) = 0. Calculate i.
-10, 0, 1
Let y(a) be the second derivative of a**6/45 - a**5/10 - 2*a**4/9 + 4*a**3/3 - 38*a. Factor y(m).
2*m*(m - 3)*(m - 2)*(m + 2)/3
Suppose 2*w + 8 = -2*w, -3*d = -5*w - 19. Let v be 6/(-9) - 17/(-3). Factor 4*h**2 - 4*h**v - 4*h**4 - 26*h**d - 2 + 2 + 30*h**3.
-4*h**2*(h - 1)*(h + 1)**2
Let q(o) = -8*o**2 - 88*o + 2. Let s be q(-11). Factor -1/3*d**3 - 2/3*d + 0 + d**s.
-d*(d - 2)*(d - 1)/3
Let o(h) be the first derivative of -5*h**4 + 88*h**3/3 + 46*h**2 - 160*h - 576. Solve o(z) = 0.
-8/5, 1, 5
Let m(y) be the third derivative of -y**9/7560 + y**8/3360 + y**7/1260 - y**6/360 + y**4/3 - 2*y**2. Let f(d) be the second derivative of m(d). Factor f(s).
-2*s*(s - 1)**2*(s + 1)
Let o = 25/93 - -655/1023. Determine s so that -14/11*s**3 - 6/11*s**2 + 0 - 2/11*s**5 - o*s**4 + 0*s = 0.
-3, -1, 0
Let t be 3/24*-7*(2 - 48/7). Factor t*l + 289/8 + 1/8*l**2.
(l + 17)**2/8
Let d(h) = 13*h**2 - 40*h + 60. Let w(r) = -225*r**2 + 680*r - 1020. Let v(c) = -35*d(c) - 2*w(c). Factor v(k).
-5*(k - 6)*(k - 2)
Let u(j) = -3*j + 12. Let x be u(3). Let l be x/(-3)*-3*1/5. Let -3*a - 21/5*a**2 - 9/5*a**3 - l = 0. Calculate a.
-1, -1/3
Find w such that 30 - 12*w - 3/2*w**2 = 0.
-10, 2
Let i be (120/(-14))/(6/(-42)). Suppose i = 5*d + 15. Solve -d*c**3 - 15*c**2 + 16*c + 48*c**4 - 33*c**2 - 35*c**3 + 28*c**5 = 0 for c.
-2, -1, 0, 2/7, 1
Let m be (-5 + (-45)/(-6))*4/5. Suppose -9*d = m*d - 22. Suppose -1/2*n**3 + 3/2*n**d - 1/2*n**4 - 1 + 1/2*n = 0. What is n?
-2, -1, 1
Factor 33/4*u + 7/4*u**2 - 5/2.
(u + 5)*(7*u - 2)/4
Let y(d) = -2*d**2 + 3*d + 1. Let g(f) = -15*f**2 - 155*f - 460. Let q(x) = -g(x) + 5*y(x). Let q(l) = 0. Calculate l.
-31, -3
Let j be (-22)/(-33)*(-9)/(-2). Let q(p) be the first derivative of 11/5*p**2 + 2/5*p**4 + 6 + 4/5*p + 26/15*p**j. Factor q(o).
2*(o + 1)*(o + 2)*(4*o + 1)/5
Factor 37*n**2 - 26*n**2 + 14*n**2 + 100 + 183*n + 77*n.
5*(n + 10)*(5*n + 2)
Solve 40/13*c + 0 + 20/13*c**4 + 88/13*c**2 + 66/13*c**3 + 2/13*c**5 = 0.
-5, -2, -1, 0
Let h(m) be the second derivative of -m**4/3 - 146*m**3/3 + 148*m**2 + 388*m. Solve h(s) = 0.
-74, 1
Factor -3751*a - 3*a**4 + 8*a**4 + 35*a**3 - 4 + 3796*a - 85*a**2 + 4.
5*a*(a - 1)**2*(a + 9)
Suppose 24*o - 111 = -13*o. Let t(m) be the first derivative of 0*m - 1 + 0*m**2 - 3/4*m**4 + m**o. Factor t(v).
-3*v**2*(v - 1)
Let l = 23/55 + -1/55. Suppose 2*k + 0*o = -2*o + 2, -2*k = 3*o. Factor l*y - 4/5*y**2 + 2/5*y**k + 0.
2*y*(y - 1)**2/5
Let k(v) = 123*v - 1104. Let s be k(9). Factor 2/5*n - 4/5*n**4 + 0 + 9/5*n**2 + 3/5*n**s.
-n*(n - 2)*(n + 1)*(4*n + 1)/5
Let f = -940 - -940. Factor -2/11*x**2 - 4/11*x + f + 4/11*x**3 + 2/11*x**4.
2*x*(x - 1)*(x + 1)*(x + 2)/11
Suppose 4*q + 3*z - 18 = z, 3*q - 2*z = 10. Let t be q/10 - (0 + 126/(-135)). What is x in -8/9 + t*x + 4/3*x**2 - 8/9*x**3 = 0?
-1, 1/2, 2
Factor 40 + 1/5*g**4 + 42/5*g**2 - 17/5*g**3 + 52*g.
(g - 10)**2*(g + 1)*(g + 2)/5
Let y = -194584 + 1753034/9. Let o = 198 - y. What is q in -o*q**3 + 2/9*q**4 + 0*q + 0 + 2/9*q**2 = 0?
0, 1
Let q(s) be the second derivative of -s**4/18 - 4*s**3/3 - 11*s**2/3 - 8*s. Factor q(r).
-2*(r + 1)*(r + 11)/3
Let i(l) be the first derivative of -29 + 2*l**2 + 2/3*l**3 - l**4 - 2*l. Factor i(p).
-2*(p - 1)*(p + 1)*(2*p - 1)
Suppose 0 = -4*n + 3*f + 108, 2*n - f - 68 = -3*f. Factor 34*q**3 - n*q**3 + 7*q**2 - 4*q**2 + 4 + 9*q**2 + 12*q.
4*(q + 1)**3
Let y(v) = -8*v**3 - 222*v**2 - 118*v + 6. Let n(g) = -24*g**3 - 667*g**2 - 353*g + 17. Let x(f) = 6*n(f) - 17*y(f). Factor x(k).
-4*k*(k + 28)*(2*k + 1)
Let l(p) be the second derivative of -p**6/50 + 3*p**4/40 - p**3/10 - 3*p**2/2 - 11*p. Let z(b) be the first derivative of l(b). Factor z(r).
-3*(r + 1)*(2*r - 1)**2/5
Suppose 279*u = 223*u + 168. Factor -16/11*f + 0*f**u - 12/11*f**2 + 2/11*f**4 - 6/11.
2*(f - 3)*(f + 1)**3/11
Suppose 0 = 20*q + q - 63. Suppose 0 = 4*k - z - 4*z + 8, 5*k + 3*z - 27 = 0. Determine v, given that q*v**2 - 5*v + 0*v**k + 8*v - 3 - 3*v**3 = 0.
-1, 1
Let s(j) = j**3 - 16*j**2 + 4. Let w be s(16). Suppose -w*t - 14 = u, 3*u - 2 = -3*t - 8. Factor -2/13*k**u + 6/13 - 4/13*k.
-2*(k - 1)*(k + 3)/13
Factor 10*m**2 + 4 + 19 + 32*m + 2 - 112*m + 5*m**2.
5*(m - 5)*(3*m - 1)
Suppose -5*n = -17*m + 15*m - 6, -n = -3*m - 9. Factor 0 + 0*s**4 - 2/7*s**3 + n*s**2 + 2/7*s**5 + 0*s.
2*s**3*(s - 1)*(s + 1)/7
Let f(n) = -n**2 + n. Let i(s) be the second derivative of 875*s**4/12 - 145*s**3/3 + 10*s**2 - 23*s. Let u(d) = 30*f(d) + i(d). Suppose u(x) = 0. What is x?
2/13
Let j(u) = -u**2 + 2*u - 12. Let y(m) = -m**2 + m - 13. Let p(n) = -5*j(n) + 4*y(n). Factor p(k).
(k - 4)*(k - 2)
Let r = -3 + 3. Let n be r - (3/1 - 10). Find t, given that 3 + 8*t + 5*t + t**2 - 16*t + n*t = 0.
-3, -1
Suppose x + 0*x = 5*t - 7, x = 2*t - 1. Let g = 5 - 5. Let 4/5*c**t - 4/5*c**3 + 0 + g*c = 0. Calculate c.
0, 1
Suppose -4*a = 