*4 + 0*s**2 - 33*s. Factor f(u).
3*u*(u - 1)*(u + 2)/7
Let u(k) be the first derivative of -2*k**3/3 - 11*k**2 + 120*k - 276. Solve u(b) = 0 for b.
-15, 4
Let m(p) be the third derivative of 3*p**2 + 3/70*p**5 - 1/168*p**6 - 1/14*p**4 + 0 + 0*p - 4/21*p**3. Factor m(t).
-(t - 2)**2*(5*t + 2)/7
Let u = 32 - 27. Factor 6 - 16 + u*k**4 - 10*k + 5 + 10*k**3.
5*(k - 1)*(k + 1)**3
Suppose 0*c = -4*c + 12. Suppose -8 = -5*p + 2*h - 2, 3*p - h = c. Factor p - 1/5*t**2 + 1/5*t.
-t*(t - 1)/5
Let -58*d - 2*d**2 - d**2 - 46*d + d**2 + 103 + 3*d**2 = 0. Calculate d.
1, 103
Let s(g) be the third derivative of -g**6/288 - g**5/48 + 5*g**4/32 + 23*g**3/6 + 22*g**2. Let k(p) be the first derivative of s(p). Factor k(d).
-5*(d - 1)*(d + 3)/4
Let s(b) = 7*b**3 + 3*b**2 - 12*b - 11. Let z(c) = -6*c**3 - 2*c**2 + 12*c + 10. Let m be -4 + (2 - 4 - -3). Let a(l) = m*z(l) - 2*s(l). What is n in a(n) = 0?
-1, 2
Let f(j) = 28*j**3 - j. Let o be f(-1). Let w = 42 + o. Factor 15 - 3 + a**2 + w*a + 3*a**2 + a.
4*(a + 1)*(a + 3)
Suppose 5*l - 67 = -57. Let -10*g**4 - 15*g**3 + 2 - 5*g - 15*g**2 + 5*g**4 - l = 0. What is g?
-1, 0
Let n(q) be the second derivative of -q**5/12 - q**4/4 + 17*q**3/18 - q**2/2 - q - 360. Factor n(y).
-(y - 1)*(y + 3)*(5*y - 1)/3
Let w = 20 + -31. Let g = w + 22. Find t such that -11 + g - 2*t**2 = 0.
0
Solve 26/5*u**2 - 36/5*u - 32/5 = 0.
-8/13, 2
Let l(t) = 4*t**2 - 56*t - 92. Let a(m) = -m**2 + 19*m + 31. Let u(n) = 16*a(n) + 5*l(n). Factor u(k).
4*(k + 3)**2
Suppose 0*x = 17*x. Let v(n) be the second derivative of -3/8*n**2 + 5*n - 3/40*n**5 + 3/16*n**4 + x*n**3 + 0. Factor v(t).
-3*(t - 1)**2*(2*t + 1)/4
Factor -3*m + 52*m**2 + 56*m**2 - 106*m**2 + 27*m.
2*m*(m + 12)
Let m(r) be the third derivative of -r**6/780 + 2*r**5/195 + r**4/39 - 16*r**3/39 - 145*r**2. Factor m(a).
-2*(a - 4)*(a - 2)*(a + 2)/13
Let k(s) be the second derivative of 0 - 4/3*s**2 - 1/18*s**4 - 3*s + 5/9*s**3. Factor k(l).
-2*(l - 4)*(l - 1)/3
Let s(m) be the first derivative of m**6/90 - 2*m**5/135 - m**4/54 + 6*m**2 + 2. Let j(c) be the second derivative of s(c). Factor j(q).
4*q*(q - 1)*(3*q + 1)/9
Let t = -41/1725 + 7/230. Let j(u) be the third derivative of -1/300*u**5 + 1/30*u**3 - 1/30*u**4 - 14*u**2 + 0 + 0*u + t*u**6. Let j(x) = 0. What is x?
-1, 1/4, 1
Let y(d) be the first derivative of 3*d**2 - 8/5*d**5 - 5/9*d**6 - 4 + 4/3*d - 2/3*d**4 + 20/9*d**3. Find c such that y(c) = 0.
-1, -2/5, 1
Let s(a) be the third derivative of a**5/60 + 3*a**4/8 + 13*a**3/6 - 8*a**2. Let z be s(-8). Factor -j**3 - j**2 - 2*j**5 + 0*j**z + j**4 + 3*j**5.
j**2*(j - 1)*(j + 1)**2
Let m = 15347/15 - 5114/5. Let 0 + m*x**2 - 1/3*x = 0. What is x?
0, 1
Let x be (-32)/12 + -1 + 5. Let -x*l**3 + 0*l + 4/3*l**5 + 0*l**2 + 0*l**4 + 0 = 0. What is l?
-1, 0, 1
Let b(q) = 20*q**2 + 32*q - 7. Let y(n) = n - 3. Let z(a) = 3*a - 8. Let f(v) = -5*y(v) + 2*z(v). Let j(c) = -b(c) - 3*f(c). Let j(k) = 0. Calculate k.
-2, 1/4
Let l(t) be the first derivative of -t**6/2 - 9*t**5/5 - 3*t**4/2 + 2*t**3 + 9*t**2/2 + 3*t + 13. Suppose l(g) = 0. Calculate g.
-1, 1
Let v(u) be the second derivative of 2/15*u**2 - 1/15*u**3 + 0 - 1/45*u**4 + 8*u. Factor v(r).
-2*(r + 2)*(2*r - 1)/15
Let u = 141 + -77. Solve 3*k**3 - 40*k + 0*k**3 + u - 24*k - 4*k**4 + 13*k**3 = 0.
-2, 2
Factor 4*j + 2*j**4 - 11*j**3 - 5*j**3 - 2*j**2 + 12*j**3.
2*j*(j - 2)*(j - 1)*(j + 1)
Let c be 3/18*(-420)/12*9/(-15). Find o, given that -c*o**5 - o**4 + 7/2*o**3 + 0 + o**2 + 0*o = 0.
-1, -2/7, 0, 1
Factor -4*k**4 - 4*k**5 + 2*k**5 - 4*k**4 + 0*k**4 + 6*k**5.
4*k**4*(k - 2)
Let o be ((-4)/34 - 1508/2210)*40/(-144). Determine u so that -o*u**2 + 4/9*u + 2/3 = 0.
-1, 3
Find q such that -8/13*q + 0 - 10/13*q**2 - 2/13*q**3 = 0.
-4, -1, 0
Let i(q) be the second derivative of -q**7/252 + q**6/60 + 3*q**5/20 - 4*q**4/9 - 8*q**3/3 - 4*q - 18. Let i(f) = 0. Calculate f.
-3, -2, 0, 4
Let u be 2*(20/(-8) - -4). Suppose -8 - 1 = -u*d. Factor 0*g**4 - g**3 + 2*g**4 + g**5 + g**2 - d*g**2.
g**2*(g - 1)*(g + 1)*(g + 2)
Find s, given that -2/5*s**2 - 12/5*s - 18/5 = 0.
-3
Let i(d) be the second derivative of 0*d**2 - 1/14*d**7 - 3/5*d**6 + 6*d**3 + d**4 + 4*d - 27/20*d**5 + 0. Suppose i(p) = 0. Calculate p.
-3, -2, 0, 1
Factor -2/9*f**5 + 0*f - 1600/9*f**2 + 76/9*f**4 - 640/9*f**3 + 0.
-2*f**2*(f - 20)**2*(f + 2)/9
Let u(k) be the second derivative of k**7/42 - k**5/5 + k**4/6 + k**3/2 - k**2 + 29*k. Factor u(h).
(h - 1)**3*(h + 1)*(h + 2)
Let d(g) be the second derivative of -g**6/45 + g**5/15 - 2*g**3/9 + g**2/3 + 11*g. What is f in d(f) = 0?
-1, 1
Let f = -6613/15 - -1325/3. What is t in -f*t + 4/5 + 1/5*t**2 = 0?
2
Let c(l) be the first derivative of -4*l - 1/3*l**3 - 7 - 2*l**2. Factor c(k).
-(k + 2)**2
Let r(b) = b**2 - 81*b + 1403. Let w be r(56). Determine u so that 32/5*u**w + 80*u - 2/5*u**4 - 36*u**2 - 50 = 0.
1, 5
Let a(i) = i**3 + 8*i**2 - 47*i + 15. Let z be a(-12). Solve -6/5*x + 2/5*x**z + 0 + 4/5*x**2 = 0.
-3, 0, 1
Let f(a) be the first derivative of -a**4/54 + 14*a**3/27 - 49*a**2/9 - 13*a + 9. Let y(h) be the first derivative of f(h). Factor y(p).
-2*(p - 7)**2/9
Determine m so that -136*m**3 - 12*m**4 + 8*m**5 + 16*m - 48 + 284*m**3 - 28*m**5 + 204*m**2 = 0.
-2, -1, 2/5, 3
Let l(x) be the third derivative of x**8/84 + 22*x**7/105 - 41*x**6/30 + 17*x**5/15 + 20*x**4/3 - 56*x**3/3 + 3*x**2 - 44. What is k in l(k) = 0?
-14, -1, 1, 2
Find n such that 2*n - 8/7*n**3 - 10/7*n**2 + 4/7 = 0.
-2, -1/4, 1
Let i be 6/(-40)*-4 + (-18)/(-20). Let z(a) be the first derivative of 0*a - i*a**2 - a**3 - 3. Suppose z(x) = 0. What is x?
-1, 0
Let o(m) = -25*m**4 + 5*m**2 - 20. Let a be 2*((-55)/(-5) + -1). Let h(r) = r**4 + 1. Let s(k) = a*h(k) + o(k). What is v in s(v) = 0?
-1, 0, 1
Let i = 120 + -101. Suppose 0 = -16*b + i*b. Let b*c - 2/7*c**5 - 6/7*c**3 + 0 + 2/7*c**2 + 6/7*c**4 = 0. Calculate c.
0, 1
Solve 2/5*n + 144/5 - 2/5*n**2 = 0 for n.
-8, 9
Suppose -10*r = -6*r - 56. Factor 7*b**5 - r*b**3 - 2*b**5 + 3*b**2 + 80 - 43*b**2 - 80*b - 35*b**4 + 94*b**3.
5*(b - 2)**4*(b + 1)
Suppose -63 = 27*n - 30*n. Let -4*i**2 - i**3 + n*i - 43*i + 18*i = 0. What is i?
-2, 0
Let 5 - 2*b**3 + 22 + 21 + 16*b + 24*b + 4*b**2 = 0. Calculate b.
-2, 6
Suppose -73*n + 5*n = 12*n. Solve 3/5*a**2 + n - 3/5*a = 0 for a.
0, 1
Suppose 2*v + 0*v = 6. Find g such that 0*g**4 - 16*g**v - 4*g**4 + 7*g**3 - 3*g**3 = 0.
-3, 0
Let i = -40 - -45. Let p(v) be the third derivative of v**2 - 1/100*v**i + 1/60*v**4 + 0*v**3 + 1/350*v**7 + 0*v - 1/300*v**6 + 0. Factor p(x).
x*(x - 1)*(x + 1)*(3*x - 2)/5
Let x(j) = -100*j - 13998. Let u be x(-140). What is i in 0 + 1/3*i**u + 2/3*i = 0?
-2, 0
Let r(y) = -11*y**2 + 30*y - 21. Let s(z) = 21*z**2 - 60*z + 41. Let q = -144 + 149. Let i(j) = q*r(j) + 3*s(j). Factor i(n).
2*(n - 3)*(4*n - 3)
Factor -2/13*k**5 + 0*k**2 + 0*k**3 + 0*k + 0 - 4/13*k**4.
-2*k**4*(k + 2)/13
Let q(r) be the second derivative of -33*r + 1/80*r**5 + 1/8*r**3 + 0 - 1/8*r**2 - 1/16*r**4. Factor q(b).
(b - 1)**3/4
Let o = 225/11 - 664/33. Let y(f) be the third derivative of -1/8*f**4 + 1/60*f**5 + 0*f + o*f**3 - 8*f**2 + 0. Find v, given that y(v) = 0.
1, 2
Let k(u) be the first derivative of 4/5*u - 1/5*u**2 - 2 - 2/15*u**3. Suppose k(r) = 0. Calculate r.
-2, 1
Determine r so that 74/5*r + 28/5 - 74/5*r**3 - 2*r**4 - 18/5*r**2 = 0.
-7, -1, -2/5, 1
Let v(h) be the first derivative of h**3/2 + 111*h**2 - 478. Determine m so that v(m) = 0.
-148, 0
Solve -258*w - 11094 - 3/2*w**2 = 0.
-86
Suppose 0*v = -v + 1. Suppose 0 = -x + 2 + v. Factor o**3 - 2*o + 7*o**2 - x*o**2 - 2*o**3 - o**3.
-2*o*(o - 1)**2
Suppose 8*q - 2*q**3 - 4*q**2 - 41 + 2 + 55 = 0. Calculate q.
-2, 2
Let j(q) = 8*q**3 - 2*q**2 + 3*q + 9. Let w(g) be the first derivative of -g**4/4 - g - 11. Let o(t) = 4*j(t) + 36*w(t). Suppose o(i) = 0. What is i?
-3, 0, 1
Let z(t) be the third derivative of -2*t**7/21 + 37*t**6/30 - 89*t**5/15 + 25*t**4/2 - 12*t**3 + 2*t**2 - 4. Suppose z(y) = 0. Calculate y.
2/5, 1, 3
Let w = 1/445 + 1771/4005. Solve -w + 2/9*f**2 - 2/9*f = 0 for f.
-1, 2
Let h be (-61 + 54 - (-22)/3)*12. Find p such that -3/2*p**5 + 15/2*p**3 - 75/2*p**2 - 60*p + 15/2*p**h - 24 = 0.
-1, 4
Determine g so that -74*g + 1354*g**3 - 658*g**3 + 20 + 44*g**2 - 64*g**4 - 632*g**3 + 10*g**5 = 0.
-1, 2/5, 1,