u(x) = -7*h(x) - 3*j(x). Suppose u(t) = 0. What is t?
-2, 8
Let f(j) be the second derivative of -j**2 - 1/6*j**4 - 2/3*j**3 + 0 - 10*j. Factor f(o).
-2*(o + 1)**2
Let d be (-8 + 4)*-1 - 16. Let j be -2 + d/(-7 - -4). Factor 3*r**2 - j*r**2 - 55*r**3 + 52*r**3 + r**2.
-r**2*(3*r - 2)
Suppose -9*c - 26*c = 0. Let j(d) be the third derivative of -d**2 + 0*d**4 + 0 + 1/315*d**7 + 1/180*d**6 + c*d + 0*d**3 + 0*d**5. Factor j(l).
2*l**3*(l + 1)/3
Let b(n) = -n + 24. Let w be b(22). Factor 0*t - 6 + 2/3*t**w.
2*(t - 3)*(t + 3)/3
Let t be (-2)/(-4) + (-923)/(-26). Solve -13*d**3 + t*d**3 - 6*d**4 + 2*d**5 - 2*d**2 - 17*d**3 = 0.
0, 1
Let v(z) be the second derivative of -15*z**7/56 - 7*z**6/80 + 3*z**5/80 + 490*z - 2. Let v(t) = 0. What is t?
-2/5, 0, 1/6
Let d(h) = -4*h - 18 - 7*h + 3*h + 6*h. Let s be d(-11). Determine n, given that 8*n - n**3 + 0*n - s*n - 3*n**3 = 0.
-1, 0, 1
Let z(a) = -5*a**3 - 40*a**2 - 15*a. Let j(u) = -u + 4*u + 0*u**2 - u**2 - 4*u. Let f(p) = 15*j(p) - z(p). Factor f(b).
5*b**2*(b + 5)
Let l(a) be the first derivative of -a**6/6 + 2*a**5/5 + 3*a**4/2 - 20*a**3/3 + 19*a**2/2 - 6*a - 637. Factor l(h).
-(h - 2)*(h - 1)**3*(h + 3)
Let g(n) = 14*n**2 - 25*n - 5*n**2 + 3 + 1. Let b(a) = -a**2 - 1. Let u(j) = 6*b(j) - g(j). Solve u(p) = 0.
2/3, 1
Let r be ((-12)/10)/(12/(-40)). Determine i so that -i**r + 102*i**5 + 17*i**3 - 3*i**2 - 99*i**5 - 8*i**3 - 8*i**4 = 0.
0, 1
Let x(s) = 4*s**4 + 36*s**3 - 655*s**2 + 1465*s + 2194. Let a(c) = -c**4 - 14*c**3 + 218*c**2 - 488*c - 731. Let y(g) = -14*a(g) - 4*x(g). Factor y(b).
-2*(b - 9)**3*(b + 1)
Let y(z) be the second derivative of -z**4/42 - 4*z**3/21 + 3*z**2 - 18*z - 3. Factor y(o).
-2*(o - 3)*(o + 7)/7
Let z = 673 - 2017/3. Factor 6 + 4*s + z*s**2.
2*(s + 3)**2/3
Let w(m) be the second derivative of -m**4/12 - 2*m**3 - 106*m. Factor w(h).
-h*(h + 12)
Suppose 2*b - 88*v = -91*v + 9, -3*b = 5*v - 15. Let f(t) be the first derivative of 0*t**2 - 1/22*t**4 + 0*t - 7 + b*t**3 - 2/55*t**5. Factor f(l).
-2*l**3*(l + 1)/11
Let g be (-6)/(-15)*(0 + 100/60). Find t such that 4/3*t**3 + 0*t + 0 - 2/3*t**2 - g*t**4 = 0.
0, 1
Let t be 2/(-15)*(-14 - -9). Factor 0 + 1/3*b**4 - 1/3*b**3 - t*b**2 + 0*b.
b**2*(b - 2)*(b + 1)/3
Let u be -6 - ((-7182)/(-60))/(-19). Let h(y) be the second derivative of -u*y**2 + 0*y**3 - 4*y + 1/20*y**4 + 0. Factor h(j).
3*(j - 1)*(j + 1)/5
Let r(q) be the second derivative of -q**6/15 + 49*q**4/3 - 2401*q**2 - 371*q. Solve r(x) = 0.
-7, 7
Suppose -3*c - 2 = 3*n + n, c - n = 4. Factor -2*o - c*o**5 + 4*o**3 - 9*o**5 + 9*o**5.
-2*o*(o - 1)**2*(o + 1)**2
Suppose 3*z + 2*c = 42, 2*z - 3*c = -5*c + 26. Suppose -18*m**4 + z*m**2 + 12*m**3 + 12*m**3 - 8*m - 18*m**3 = 0. What is m?
-1, 0, 2/3
Factor 8*p**4 - 2*p**3 + 12 - 8*p**4 - 22*p**3 + 6*p**2 - 18*p**4 - 3*p**5 + 27*p.
-3*(p - 1)*(p + 1)**3*(p + 4)
Let p = -235/4 - -1681/28. Determine i, given that 3/7*i**2 + 6/7 + 3*i**3 - p*i**4 - 3*i = 0.
-1, 1/3, 1, 2
Let c(p) be the first derivative of -4*p**5/5 - 11*p**4 - 12*p**3 + 22*p**2 + 40*p - 27. Let c(f) = 0. Calculate f.
-10, -1, 1
Let i(f) be the first derivative of -f**3/9 + f**2 + 16*f/3 + 31. Factor i(k).
-(k - 8)*(k + 2)/3
Let i = -47 - -47. Let a(v) be the second derivative of -1/48*v**4 + 0 + i*v**2 + 4*v + 1/120*v**6 + 0*v**3 + 0*v**5. Find p, given that a(p) = 0.
-1, 0, 1
Let b(s) be the first derivative of s**6/120 - 9*s**3 - 45. Let q(x) be the third derivative of b(x). Factor q(f).
3*f**2
Let w(b) be the second derivative of b**7/840 + b**6/120 + b**5/60 + 7*b**3/3 + 4*b. Let u(z) be the second derivative of w(z). Factor u(a).
a*(a + 1)*(a + 2)
Let g(a) = 9*a**4 + 49*a**3 + 10*a**2 - 424*a + 356. Let x(h) = -35*h**4 - 195*h**3 - 40*h**2 + 1695*h - 1425. Let i(q) = 15*g(q) + 4*x(q). Factor i(n).
-5*(n - 2)*(n - 1)*(n + 6)**2
Let z be 24*(-4 + (-28)/(-6)). Solve h**4 - 15*h - h**2 - h**3 + 0*h**2 + z*h = 0 for h.
-1, 0, 1
Let u be 5/4 + (-1199)/132 + 9. Factor 3*l**2 + 1/6*l**4 - u*l**3 - 10/3*l + 4/3.
(l - 2)**3*(l - 1)/6
Let f be -6*(-4)/6 - (4 + -1). Let b be (-14 + 14)/(-3*f). Factor b*t + 1/4*t**3 + 1/4*t**2 + 0.
t**2*(t + 1)/4
Suppose -5*i + 62 - 47 = 0. Factor 10*t**2 - 24*t + 24*t - 5*t**i.
-5*t**2*(t - 2)
Determine i, given that -36/17 + 6/17*i**2 - 50/17*i + 18/17*i**3 - 2/17*i**4 = 0.
-1, 2, 9
Solve 0 - 38/5*a - 2/5*a**2 = 0.
-19, 0
Let t(l) = -4*l**2 - 3. Let a(w) = -7*w**2 - 6*w - 7. Let n(p) = -p**2 - p - 1. Let m(i) = a(i) - 6*n(i). Let h(x) = -6*m(x) + 2*t(x). Factor h(r).
-2*r**2
What is y in 10*y - 45*y**3 - 46*y**2 - 5*y**4 - 14*y - y - 9*y**2 - 15*y + 5*y**5 = 0?
-1, 0, 4
Let n(c) = 635*c + 2. Let q be n(0). Factor 2/11 + 4/11*a + 2/11*a**q.
2*(a + 1)**2/11
Let o(y) be the third derivative of y**7/28 - 7*y**6/20 + 33*y**5/40 + 9*y**4/8 - 5*y**2 - 30*y. Determine d, given that o(d) = 0.
-2/5, 0, 3
Let w be (-18)/4*(-16)/12. Let d(u) be the first derivative of 3/4*u**4 - u**3 + 3/5*u**5 - 3/2*u**2 + w + 0*u. Determine a, given that d(a) = 0.
-1, 0, 1
Let o(q) be the first derivative of -q**4/6 + q**3 + 4*q**2 + 15*q - 9. Let d(c) be the first derivative of o(c). Let d(h) = 0. Calculate h.
-1, 4
Let v(q) be the second derivative of 1/3*q**4 + 2*q + 0*q**2 + 0 - 2/15*q**6 - 2/5*q**5 + 4/3*q**3. Factor v(l).
-4*l*(l - 1)*(l + 1)*(l + 2)
Suppose 30/7 - 104/7*o - 22/7*o**2 = 0. Calculate o.
-5, 3/11
Let b(r) = -r**3 + 7*r**2 + 17*r - 55. Let t(z) = z**3 + z**2 - z - 1. Let q(h) = -2*b(h) + 2*t(h). Let q(o) = 0. Calculate o.
-3, 3
Let t(f) be the third derivative of 0 - 1/30*f**4 + 0*f**3 + 22*f**2 + 0*f - 1/150*f**5. What is x in t(x) = 0?
-2, 0
Factor 3777*q - q**5 - 3777*q + 9*q**4 + 28*q**2 + 2*q**4 - 32*q**3.
-q**2*(q - 7)*(q - 2)**2
Let k(c) = -5*c**2 + 128*c + 4888. Let i(y) = -6*y**2 + 126*y + 4886. Let x(b) = 6*i(b) - 7*k(b). Determine a, given that x(a) = 0.
-70
Factor -55*w - 77*w + 3*w**3 + 111*w - 12*w**2 + 30.
3*(w - 5)*(w - 1)*(w + 2)
Find o such that 81/4 + 135/4*o**2 - 243/4*o - 21/4*o**3 = 0.
3/7, 3
Let z(k) be the second derivative of 49*k**6/150 + 21*k**5/10 - 47*k**4/15 - 11*k**3/5 - k**2/2 + 181*k. Factor z(d).
(d - 1)*(d + 5)*(7*d + 1)**2/5
Let i(f) be the third derivative of f**7/70 + 13*f**6/20 + 141*f**5/20 - 91*f**4/2 + 98*f**3 + 2*f**2 + 64*f. Factor i(s).
3*(s - 1)**2*(s + 14)**2
Let n(r) be the third derivative of r**5/420 - r**4/84 - 4*r**3/21 - 20*r**2 - 2. What is h in n(h) = 0?
-2, 4
Let m(l) be the first derivative of -5/2*l**4 - 32*l + 30 + 40*l**2 - 50/3*l**3 + 1/3*l**6 + 2*l**5. Factor m(t).
2*(t - 1)**3*(t + 4)**2
Let x = -2/93 + 109/744. Let j = -36877 - -36877. Factor x*z**2 - 1/8*z**5 - 1/8*z**4 + 0 + j*z + 1/8*z**3.
-z**2*(z - 1)*(z + 1)**2/8
Let t(b) be the first derivative of b**3/3 + 12*b**2 + 144*b - 265. Factor t(w).
(w + 12)**2
Let a(t) be the third derivative of -t**5/12 - 35*t**4/6 - 45*t**3/2 + 516*t**2. Suppose a(s) = 0. What is s?
-27, -1
Find m, given that 3*m**4 + 201*m**3 - 156*m**2 + 15*m**5 - 32*m**4 - 67*m**4 - 9*m + 45*m = 0.
0, 2/5, 1, 2, 3
Let t(c) be the second derivative of -c**6/280 - 9*c**5/70 - 27*c**4/14 - 108*c**3/7 - 7*c**2/2 - 33*c. Let q(b) be the first derivative of t(b). Factor q(j).
-3*(j + 6)**3/7
Let q(i) be the second derivative of 9*i**5/4 - 65*i**4/2 + 245*i**3/6 - 20*i**2 + 2*i + 26. Determine u, given that q(u) = 0.
1/3, 8
Let a be (-1 + -10)*(-1)/1. Let h(s) = -s**2 + 10*s + 14. Let x be h(a). Find v such that 3*v**3 - 3*v + 3*v**2 - v**4 - 4*v**x + 0*v**4 + 2*v**2 = 0.
-3, 0, 1
Let k(s) be the second derivative of 2*s**6/15 - 94*s**5/15 + 364*s**4/27 - 80*s**3/9 + 117*s. Suppose k(t) = 0. Calculate t.
0, 2/3, 30
Suppose -y = -x + 7 - 6, -2*y + 7 = x. Factor 31*h**x + 96*h - 3*h**2 - 128 - 21*h**2 - 29*h**3.
2*(h - 4)**3
Factor -21/2*u**3 + 1866*u**2 - 165273/2*u - 23763.
-3*(u - 89)**2*(7*u + 2)/2
Let v = 2 - 0. Suppose 9*w - 5*w - 2*l = 146, w + 2*l = 24. Let 6*b**v - 54*b**4 + 2*b**2 - 18*b**3 + 26*b + 4 + w*b**2 = 0. What is b?
-2/3, -1/3, 1
Let x be (2/(-3))/((-456)/(-12)). Let z = 511/114 - x. Find r, given that -z*r**2 - 2 - 6*r = 0.
-2/3
Let h be (-7 - -1) + 12 + -2. Let a(k) be the first derivative of -1/6*k**3 - 1 + 1/2*k - 1/16*k**h + 1/8*k**2. Determine b, given that a(b) = 0.
-2, -1, 1
Let w(r) be the second derivative of 0 + 1/100*r**5 + 1/50*r**6 +