-4 - 81/(-20). Let p(i) be the third derivative of 0*i + q*i**5 - 4*i**2 + 1/8*i**4 + 0 + 0*i**3. Factor p(j).
3*j*(j + 1)
Let l(j) be the third derivative of -j**8/560 - j**7/280 + j**6/120 + j**5/40 - 7*j**3/3 - 14*j**2. Let r(n) be the first derivative of l(n). Factor r(w).
-3*w*(w - 1)*(w + 1)**2
Let w(n) be the first derivative of -n**6/2 - 18*n**5/5 - 9*n**4/4 + 10*n**3 + 748. Solve w(x) = 0.
-5, -2, 0, 1
Let b(f) be the second derivative of f**7/21 + f**6/15 - 7*f**5/5 - 4*f**4 - f - 32. Factor b(u).
2*u**2*(u - 4)*(u + 2)*(u + 3)
Let a(u) be the second derivative of 2*u**7/7 - 44*u**6/15 + 10*u**5 - 28*u**4/3 - 14*u**3 + 36*u**2 + 380*u. Solve a(r) = 0.
-2/3, 1, 3
Let 1/3*v**5 - 10/3*v**3 + 2*v**4 - 20/3*v**2 + 14/3 + 3*v = 0. What is v?
-7, -1, 1, 2
Suppose 0 = -o + 2*r - 4, 2*r - 16 = -2*o - 2*r. Suppose 0 = -5*w + g + 15, -w + g + 5 = -o. What is i in -2/3*i**w - 2/9*i**3 + 0*i + 8/9 = 0?
-2, 1
Factor 48 - 14*z + 67*z**2 - 8*z**2 - 58*z**2.
(z - 8)*(z - 6)
Let l(g) be the second derivative of g**4/30 + 16*g**3/15 + 2*g - 2. Factor l(c).
2*c*(c + 16)/5
Let l = 12 + -7. Suppose 0 = 2*n - 2*z - 10, 5*n + z - 26 = l*z. Factor -9*t**3 + 1 + 0*t**2 - n*t - 15*t**2 - 1.
-3*t*(t + 1)*(3*t + 2)
What is k in -513*k**2 + 18*k**3 - 47 + 468*k**2 - 19*k**3 + 93*k = 0?
-47, 1
Factor 1/4*q**4 + 0 + 3/4*q**3 - 3/4*q - 1/4*q**2.
q*(q - 1)*(q + 1)*(q + 3)/4
Solve -4 - 16 - 4 + 88*i - 4 - 12*i**2 = 0.
1/3, 7
Suppose 5 = -l, 4*x - 3*x - 15 = l. Let h be (-40)/12*(-12)/x. Factor -9*i**3 + 4*i**4 + 2*i + h*i**3 - 4*i**2 + 3*i**3.
2*i*(i - 1)*(i + 1)*(2*i - 1)
Let t(v) = -2*v**2 - 50*v - 290. Let o be (34/9)/(-1) - (-10)/(-45). Let g(c) = 2*c**2 + 51*c + 291. Let j(z) = o*g(z) - 6*t(z). Factor j(f).
4*(f + 12)**2
Suppose -3*a - 15 = 0, u - 6*u - 3*a + 5 = 0. Determine x, given that -18 - 20*x**2 + 3*x**4 + 7*x**u - 65*x + 30*x**3 + 11*x**5 - 12 - 16*x**5 = 0.
-1, 2, 3
Let b(o) be the first derivative of -o**2 + 7/8*o**4 + 0*o - 43 - 2*o**3. What is a in b(a) = 0?
-2/7, 0, 2
Let v(n) be the first derivative of n**5 + 55*n**4/4 + 45*n**3 + 125*n**2/2 + 40*n + 79. Factor v(u).
5*(u + 1)**3*(u + 8)
Let w(f) be the first derivative of 0*f**2 - 1/40*f**4 + 0*f + 1/30*f**3 - 11 + 1/60*f**6 - 1/50*f**5. What is h in w(h) = 0?
-1, 0, 1
Let m = 22 - 16. Suppose 0 = h + h - m. Suppose 2*y - 2*y - 3*y**2 + 12*y**h - 9*y**3 = 0. What is y?
0, 1
Let r = 0 + 3. Solve 3*p + 0*p**3 + r*p**3 + 6*p**2 + 0*p = 0.
-1, 0
Find v, given that 0*v + 4*v**3 + 1/3*v**5 + 0 - 8/3*v**2 - 2*v**4 = 0.
0, 2
Let n = -115 - -115. Let r(m) be the third derivative of 0*m - 1/24*m**4 - 1/120*m**5 + n + m**2 - 1/12*m**3. Factor r(v).
-(v + 1)**2/2
Let s(c) be the third derivative of -c**5/12 - 5*c**4 - 120*c**3 - c**2 - 3*c. Factor s(m).
-5*(m + 12)**2
Suppose 4*x + 13 = -103. Let y = x - -147/5. What is b in -2/5*b**3 + 0*b + 0 + y*b**2 = 0?
0, 1
Let y(s) be the first derivative of s**7/4620 - s**6/1980 - s**5/660 + s**4/132 - 5*s**3 - 11. Let f(d) be the third derivative of y(d). Factor f(p).
2*(p - 1)**2*(p + 1)/11
Let j(u) be the first derivative of -5*u**4/4 + 25*u**3/3 - 35*u**2/2 + 15*u - 81. Factor j(i).
-5*(i - 3)*(i - 1)**2
Factor 21*p**2 - 340 - 36*p**3 - 248*p**4 + 340 + 6*p + 113*p**4.
-3*p*(3*p + 1)**2*(5*p - 2)
Suppose x - 4*o = -3*x + 28, 0 = 3*x + 3*o - 3. Let h = 695 + -2084/3. Let 0 + 1/3*b**2 - h*b + 1/3*b**3 - 1/3*b**x = 0. Calculate b.
-1, 0, 1
Let c be -14*(-1024)/55328 + 4/(-26). Let t = 1590/133 + -80/7. What is h in t*h + c*h**2 + 6/19 - 2/19*h**3 = 0?
-1, 3
Let k(h) = 3*h**2 - 15*h + 2. Let b be k(6). Suppose -4*t = -9*t + b. Solve -t*l - 16*l**3 - 66/5*l**2 - 2/5 - 32/5*l**4 = 0 for l.
-1, -1/4
Let o(h) be the second derivative of h**5/15 + 7*h**4/3 + 22*h**3 - 242*h**2/3 + h - 1. Find v such that o(v) = 0.
-11, 1
Let o(k) = 8*k - 23. Let t be o(4). Suppose 11*q = t*q. Let 3/8*w**2 + q - 9/8*w**3 + 3/4*w - 3/8*w**4 + 3/8*w**5 = 0. What is w?
-1, 0, 1, 2
Let t(v) be the second derivative of 2*v**7/105 + 22*v**6/75 + 42*v**5/25 + 14*v**4/3 + 106*v**3/15 + 6*v**2 + 155*v. Factor t(r).
4*(r + 1)**3*(r + 3)*(r + 5)/5
Let g(t) be the second derivative of -t**5/40 - t**4/8 + t**2 + 28*t. Factor g(s).
-(s - 1)*(s + 2)**2/2
Let b = 4220 - 4220. Determine y so that -4/3*y - 1/3*y**3 - 4/3*y**2 + b = 0.
-2, 0
Let h(f) be the second derivative of f**8/1890 - 2*f**7/945 + f**6/360 - f**5/540 + 5*f**4/2 - 4*f. Let u(b) be the third derivative of h(b). Factor u(m).
2*(m - 1)*(4*m - 1)**2/9
Let i = 31 - 92/3. Let g be (-1)/((-4)/(-28)) + 18*9/18. Factor -i*v + 0 + 1/3*v**g.
v*(v - 1)/3
Let a(x) = x - 6. Let g be a(6). Let p(o) = -o**2 + 2. Let t be p(g). Factor 2*f**3 + 13*f**2 - 7*f**2 + 0*f**2 - 2*f**t.
2*f**2*(f + 2)
Determine q so that 4*q**5 - 24*q**3 + 6 + 34*q**2 - 23*q - 2*q**5 - 4*q**5 + 8*q**4 + 4*q**5 - 3*q**5 = 0.
1, 2, 3
Let z = 15898/5 - 3178. Solve 4/5*w**2 + z*w + 4/5 = 0 for w.
-1
Let c = 7 - 5. What is r in 6*r - 12*r + c*r**2 + 3*r - 17*r**2 = 0?
-1/5, 0
Let r(f) be the second derivative of 3*f**5/20 + 13*f**4/4 - 24*f**3 - 41*f + 10. Factor r(z).
3*z*(z - 3)*(z + 16)
Let a(f) = 10*f**2 + 101*f - 100. Let b(s) = 2*s**2 + 20*s - 20. Let i(g) = -2*a(g) + 11*b(g). Find n such that i(n) = 0.
-10, 1
Let z = 107 - 104. Let i(n) be the third derivative of -3*n**2 - 1/390*n**5 + 0*n**4 + 0*n**z + 0*n + 0. Factor i(c).
-2*c**2/13
Let g(d) be the second derivative of d**4/42 - 62*d**3/21 + 961*d**2/7 - 170*d. Let g(m) = 0. Calculate m.
31
What is z in 9*z - 1667*z**4 + 1669*z**4 - 14*z**2 - z + 4*z**3 = 0?
-4, 0, 1
Let b be ((-1 - 3) + 5)*3. Factor 70*c**4 + 10*c**2 - 3 + 0 + b + 55*c**3.
5*c**2*(2*c + 1)*(7*c + 2)
Suppose 0 = -0*j + 2*j - 8*j. Suppose -t + 1 = -1. Determine f so that f**4 - t*f**2 - 3 + j + 4 = 0.
-1, 1
What is i in -8/17*i**4 - 150/17 - 590/17*i + 54/17*i**2 + 54/17*i**3 = 0?
-3, -1/4, 5
Factor -12/7*j**3 + 2/7*j**4 + 24/7*j**2 + 0 - 16/7*j.
2*j*(j - 2)**3/7
Let h be ((-2)/12)/(7 - (-105)/(-14)). Let j(r) be the third derivative of 1/24*r**4 + 1/60*r**5 + 0 + 0*r - h*r**3 - 4*r**2. Factor j(n).
(n - 1)*(n + 2)
Let k(n) = -2*n**2 + 104*n + 15. Let q(u) = -2*u**2 + 106*u + 20. Let a(g) = 4*k(g) - 3*q(g). Factor a(x).
-2*x*(x - 49)
Let s(v) = 10*v**5 + 8*v**4 + v**3 + 3*v**2 - 11*v - 22. Let r(j) = j**5 + j**4 - j - 2. Let l(i) = 44*r(i) - 4*s(i). Find f such that l(f) = 0.
-3, -1, 0, 1
Let f = 5914 + -5912. Factor 1/7*s**f + 3/7*s**3 + 0*s + 1/7*s**5 + 0 + 3/7*s**4.
s**2*(s + 1)**3/7
Let n(t) be the first derivative of 12*t + 24*t**2 + 6*t**4 - 16 + 18*t**3 + 3/4*t**5. Factor n(x).
3*(x + 2)**3*(5*x + 2)/4
Let n be -1*(-8)/(-420)*(-1)/4. Let v(a) be the third derivative of 0*a**3 + 0 + 4*a**2 + 0*a**4 + 0*a + n*a**5. Factor v(r).
2*r**2/7
Let c(v) be the second derivative of v**7/378 - 7*v**6/270 + v**5/45 + v**4/9 - 3*v + 18. Factor c(b).
b**2*(b - 6)*(b - 2)*(b + 1)/9
Let h(x) be the second derivative of -x**4/36 + 5*x**3/6 - 7*x**2/3 - x - 20. Solve h(j) = 0 for j.
1, 14
Let r be (-4)/(-24) + (-33)/(-18). Factor 83*d - 19 + 217*d + 101*d**r + 199 + 24*d**2.
5*(5*d + 6)**2
Let a(n) = 2*n**2 + 6*n - 5. Let f be a(-5). Suppose -f*t = -14*t. Factor p**5 + t*p**5 - 22*p**3 - 13*p**4 - 19*p**4 - 15*p**5 - 4*p**2.
-2*p**2*(p + 1)**2*(7*p + 2)
Let j(s) be the first derivative of -s**8/1176 + s**6/140 + s**5/105 + 5*s**2/2 + 49. Let g(u) be the second derivative of j(u). Solve g(x) = 0 for x.
-1, 0, 2
Factor -2*l**3 + 749 - 16*l**3 + 3120*l + 1108*l**2 + 111*l**3 + 1955 + 27*l**3 + 4*l**4.
4*(l + 2)**2*(l + 13)**2
Let d be (-15562)/(-80) + (-7)/56. Factor -189/5*k**2 + 12/5 - 12*k + d*k**3.
3*(4*k + 1)*(9*k - 2)**2/5
Suppose 0 = 790*y - 783*y - 28. Let a(g) be the first derivative of -5/2*g**y - 2/3*g**3 + 2/5*g**5 + 2*g**2 + g**6 - 1 + 0*g. Determine o so that a(o) = 0.
-1, 0, 2/3, 1
Let a(g) be the third derivative of g**8/1848 + g**7/385 - g**6/220 - 7*g**5/330 + g**4/22 + 33*g**2. Determine s so that a(s) = 0.
-3, -2, 0, 1
Let p(s) be the third derivative of 23*s**2 + 1/90*s**5 + 0*s - 1/18*s**4 + 0 - 1/3*s**3. Solve p(v) = 0 for v.
-1, 3
Factor 2/3*m - 2/9*m**3 + 0*m**2 - 4/9.
-2*(m - 1)**2*(m + 2)/9
Factor 46*d**3 - 19249*d**4 + 19248*d**4 - 784*d**2 + 10*d**3.
-d**2*(d - 28)**2
Let w(a) be the first derivative of a**6/14 - 3*a**5/35 - 45*a**4/28 - 23