 c**4/16 + c**2 - 6. Let l(q) be the second derivative of a(q). Factor l(k).
3*k*(k - 1)*(k + 2)/4
Let f(n) = -3*n**4 - 3*n**3 - 9*n**2 - 9*n - 2. Let c(w) = w**4 - w**3 + w. Let u(s) = 2*c(s) + f(s). Solve u(b) = 0 for b.
-2, -1
Let a(s) be the third derivative of 0 - 2*s**2 - 1/210*s**7 + 1/336*s**8 + 1/60*s**5 + 0*s + 0*s**4 - 1/120*s**6 + 0*s**3. Suppose a(v) = 0. What is v?
-1, 0, 1
Let m(o) be the third derivative of -2*o**7/105 + o**6/20 + o**5/15 + 6*o**2. Factor m(b).
-2*b**2*(b - 2)*(2*b + 1)
Let -2/3*w**2 + 0 - 2/3*w = 0. Calculate w.
-1, 0
Let f be -5*(0 + 7/((-140)/8)). Let q = -18 - -25. Factor 0*h + q*h - 8*h**f + h + 2*h**3.
2*h*(h - 2)**2
Let c(m) be the first derivative of 2/5*m**5 + 0*m + 4*m**2 + 3 - 3/2*m**4 + 0*m**3. Let c(k) = 0. What is k?
-1, 0, 2
Let x(w) = w - 4. Let h be x(2). Let o be (-12)/h - 6/2. Factor -1/3*t**o - 1/3*t**2 + 1/3 + 1/3*t.
-(t - 1)*(t + 1)**2/3
Factor -2/5*p**2 - 4/5*p**3 + 4/5*p**4 - 1/5*p**5 - 2/5 + p.
-(p - 2)*(p - 1)**3*(p + 1)/5
Suppose 6*j = 3*j. Let m(y) be the third derivative of -1/105*y**7 + 1/30*y**5 + 0*y**4 + y**2 + 0*y + 0*y**6 + j*y**3 + 0. Find h, given that m(h) = 0.
-1, 0, 1
Let q(h) be the second derivative of 0*h**2 + 0 - 1/14*h**4 - 8*h - 1/21*h**3 - 1/105*h**6 - 3/70*h**5. Determine u, given that q(u) = 0.
-1, 0
Suppose -8/5*y**3 + 4/5*y**4 + 12/5 + 8/5*y - 16/5*y**2 = 0. What is y?
-1, 1, 3
Let c = -313/2 - -157. Suppose 0 - 1/2*z + c*z**2 = 0. What is z?
0, 1
Let l(r) be the third derivative of r**6/120 - r**5/20 + r**4/8 - r**3/6 + 4*r**2. Let l(n) = 0. What is n?
1
Suppose -38 = 4*p - 58. Determine o so that -2/3*o**p + 4*o**4 + 0*o**2 + 0 + 0*o - 6*o**3 = 0.
0, 3
Suppose -33 + 31 + t - 2*t + t**2 = 0. What is t?
-1, 2
Let v be 2/(-10) - (-2)/10. Let b be 1 + 1 + v/1. Factor 6*m**3 + 4*m**4 + 2*m**5 + 4*m**4 + 2*m**2 - b*m**4.
2*m**2*(m + 1)**3
Suppose 3/4*w**3 - 3/4*w**4 + 3/2*w**2 - 3/4 - 3/8*w**5 - 3/8*w = 0. Calculate w.
-2, -1, 1
Suppose 2*m - 2 = 4. Determine h, given that 0*h**4 + 0 + 0*h**2 + 2/3*h**5 + 0*h - 2/3*h**m = 0.
-1, 0, 1
Let d(k) = k**3 - 3*k**2 + k - 3. Let q be d(3). Let c(o) be the second derivative of -1/60*o**6 + q*o**2 - o + 0 + 0*o**4 + 0*o**3 - 1/40*o**5. Factor c(v).
-v**3*(v + 1)/2
Let x = 947 - 2839/3. Suppose -2/3 - x*u**2 + 20/9*u = 0. What is u?
1/3, 3
Suppose -8*i = -3*i - 20. Let l be i/(-10) + (-8)/(-10). Determine s so that -l*s**2 - 2/5 + 4/5*s = 0.
1
Let b be 8/6*(-3)/(-2). Let j be (2/(-4))/(b/(-24)). Factor 2 + 2*w**3 - 6*w**2 + 0 + j.
2*(w - 2)**2*(w + 1)
Let y(j) be the third derivative of -j**5/60 - 5*j**4/12 - 25*j**3/6 - 14*j**2. Solve y(n) = 0.
-5
Let 1/6 + 1/6*a**2 - 1/3*a = 0. Calculate a.
1
Let p(i) be the third derivative of -i**11/166320 + i**9/15120 - i**7/2520 + i**5/12 + 5*i**2. Let v(k) be the third derivative of p(k). Solve v(x) = 0 for x.
-1, 0, 1
Let o(z) be the third derivative of 0*z + 2*z**2 + 0*z**5 - 1/60*z**6 + 1/4*z**4 - 2/3*z**3 + 0. Factor o(f).
-2*(f - 1)**2*(f + 2)
Let t(r) be the second derivative of r - 1/12*r**4 + 0*r**2 + 0*r**3 + 0. Factor t(f).
-f**2
Let o = 6 + -4. Find x, given that 36 + 32*x + 27*x + 16*x**o - 11*x = 0.
-3/2
Suppose 3*c = q + 7, 4 = 2*c - 5*q - 5. Determine f so that c*f**4 - 8*f - 16*f**3 - 5*f**2 - 9*f**2 - 4*f**2 - 1 - 7*f**4 = 0.
-1, -1/5
Let 0*d + 16/3*d**3 + 0 - 4/3*d**4 + 0*d**2 = 0. What is d?
0, 4
Let i = -13/12 - -59/4. Let q = i - 137/12. Factor 9/4*n**2 - q*n + 3/4 - 3/4*n**3.
-3*(n - 1)**3/4
Solve -9 + 12*t + 3*t**2 + 13 + 4*t**3 + 9*t**2 = 0 for t.
-1
Let x(a) be the second derivative of a**7/15120 - a**6/2160 + a**4/6 - 3*a. Let t(v) be the third derivative of x(v). Let t(y) = 0. What is y?
0, 2
Let o(x) be the third derivative of x**8/336 + x**7/210 - x**6/60 - x**2 + 5*x. Factor o(r).
r**3*(r - 1)*(r + 2)
Factor -4/9*c - 2/3*c**2 + 0 - 2/9*c**3.
-2*c*(c + 1)*(c + 2)/9
Let n(m) be the third derivative of 0*m + 1/30*m**5 + 0*m**3 + 1/105*m**7 + 0 + 0*m**4 + m**2 - 1/30*m**6. Suppose n(w) = 0. What is w?
0, 1
Let z(n) be the first derivative of n**8/5040 - n**7/2520 - n**6/1080 + n**5/360 - n**3/3 + 6. Let s(q) be the third derivative of z(q). Factor s(h).
h*(h - 1)**2*(h + 1)/3
Let f be (6/40)/3 - 48/(-240). Factor -f*o + 1/2*o**2 - 1/4*o**3 + 0.
-o*(o - 1)**2/4
Let k(s) = s**3 - 6*s**2 + 6*s - 8. Let x(v) = v**3 - 5*v**2 + 5*v - 7. Let w(l) = 6*k(l) - 7*x(l). Factor w(b).
-(b - 1)*(b + 1)**2
Let m(c) = 21*c**3 + 18*c**2 - 3*c. Let l(k) be the first derivative of -k**4/4 - k**3/3 - 2. Let j(v) = 18*l(v) + m(v). Find t, given that j(t) = 0.
-1, 0, 1
Factor -1/8*q**2 - 1/8*q + 1/4.
-(q - 1)*(q + 2)/8
Find a such that -4/3*a**2 + 4/3*a**5 + 0*a + 4*a**3 + 0 - 4*a**4 = 0.
0, 1
Let v = -28597/372 + -57/124. Let h = v + 78. Factor -1/3*l**2 - 1/3 - h*l.
-(l + 1)**2/3
Let c(j) be the first derivative of -2*j**7/21 + 2*j**5/5 - 2*j**3/3 - 4*j + 2. Let b(s) be the first derivative of c(s). Let b(x) = 0. What is x?
-1, 0, 1
Find f, given that 0*f**3 + 0*f + 4/3*f**4 - 4/3*f**2 + 0 = 0.
-1, 0, 1
Let y(x) be the second derivative of 4*x**7/147 - 13*x**6/105 + 3*x**5/14 - x**4/6 + x**3/21 + 7*x. Let y(f) = 0. Calculate f.
0, 1/4, 1
Factor -4/3*p**4 + 0 + 0*p + 0*p**2 + 0*p**3.
-4*p**4/3
Let o be (-33)/(-42) + 1 + 6/(-4). Solve 8/7*j**2 + j - 2/7*j**4 - 1/7*j**5 + o*j**3 + 2/7 = 0.
-1, 2
Factor -8/5 - 2/5*t**2 - 8/5*t.
-2*(t + 2)**2/5
Let m = 150 - 148. Find t such that -3/5*t**m + 12/5 + 0*t = 0.
-2, 2
Let t(x) = -8*x + 120. Let k be t(15). Let -1/3*z + k - 11/6*z**2 = 0. Calculate z.
-2/11, 0
What is w in -14*w + w**4 + w**4 - 12*w**3 - 124*w**2 + 148*w**2 + 6 - 6*w = 0?
1, 3
Suppose -2*n**2 - n - 2*n**2 - 48 + n**2 - 23*n = 0. What is n?
-4
Let r = -36 - -52. Suppose -6 = 2*c - 2*v - r, 0 = 2*v. Determine w, given that 61*w**5 - 37*w**2 - 8*w + 14*w**2 - 25*w**2 - 62*w**3 + 48*w**4 + 9*w**c = 0.
-1, -2/5, -2/7, 0, 1
Let p(u) be the first derivative of u + 3 - 1/4*u**2 - 1/6*u**3. Factor p(m).
-(m - 1)*(m + 2)/2
Let u be (-120)/(-36)*(-10)/(-25). Factor -4/3*y - 1/3*y**3 + 0 - u*y**2.
-y*(y + 2)**2/3
Suppose 2*t - 13 = 27. Suppose 2*v = -3*v + t. Suppose -2*g**4 + 0*g**4 - 2*g**3 + v*g**3 = 0. What is g?
0, 1
Let b = 83/334 + 1/668. Let 0 - 1/4*a**2 - b*a = 0. What is a?
-1, 0
Factor 0 - o**4 + o**2 - 1/2*o + 0*o**3 + 1/2*o**5.
o*(o - 1)**3*(o + 1)/2
Factor -24*q**2 + 96*q + 3/2*q**3 + 0.
3*q*(q - 8)**2/2
Solve 328 + 341 - 717 - 3*c**2 + 30*c = 0.
2, 8
Let y = -9 + 13. Let u(b) be the first derivative of 1/12*b**3 - 5/8*b**2 + 1/8*b**y + 1 + 1/2*b. Factor u(i).
(i - 1)*(i + 2)*(2*i - 1)/4
Let f be 6/(360/35) + (-2)/8. What is j in 0*j - 1/3 + f*j**2 = 0?
-1, 1
Let p(q) be the third derivative of -q**10/60480 - q**9/15120 - 7*q**4/24 + 8*q**2. Let j(h) be the second derivative of p(h). Factor j(c).
-c**4*(c + 2)/2
Let a(s) be the second derivative of s**8/10080 - s**7/420 + s**6/40 - 3*s**5/20 + s**4/4 - s. Let r(h) be the third derivative of a(h). Factor r(y).
2*(y - 3)**3/3
Let h(w) be the third derivative of -w**8/112 - 3*w**7/70 - w**6/20 + w**5/10 + 3*w**4/8 + w**3/2 + 5*w**2. Factor h(q).
-3*(q - 1)*(q + 1)**4
Let c be 24/15*(-15)/(-6). Suppose 9 = c*b + 1. Factor -2/7*r**5 + 2/7*r**4 + 0*r + 0 + 2/7*r**3 - 2/7*r**b.
-2*r**2*(r - 1)**2*(r + 1)/7
Let n(p) be the first derivative of -5*p**3/2 - 17*p**2/4 - p - 36. Determine x so that n(x) = 0.
-1, -2/15
Suppose 3 - 9 = -4*x + 2*a, 2*x - 2*a - 2 = 0. Suppose 4*s + x = 10. Factor 2 - 8*z**2 + 3*z**s - 1 + 8*z + 3.
-(z - 2)*(5*z + 2)
Find k such that 9*k - k**4 - 3*k**2 - 7*k**3 + 6 - 3*k**3 + k**3 - 2*k**4 = 0.
-2, -1, 1
Let l(p) be the first derivative of -3*p**4/4 + 2*p**3 - 3*p**2/2 + 10. Factor l(q).
-3*q*(q - 1)**2
Let z(n) be the first derivative of n**6/6 - n**5/5 - n**4/2 + 2*n**3/3 + n**2/2 - n - 2. Determine o so that z(o) = 0.
-1, 1
Let f(j) be the third derivative of -1/660*j**6 + 0*j**3 + 0 + 0*j + 1/330*j**5 - 2*j**2 + 1/66*j**4. Factor f(p).
-2*p*(p - 2)*(p + 1)/11
Factor -3*s**3 + 3*s**4 + 0*s**4 + 6*s**3 - 2*s**4 + s + 3*s**2.
s*(s + 1)**3
Let x be (-2)/4*(-3 + 3). Let c(q) be the third derivative of 3*q**2 - 1/144*q**4 + 0*q**3 + 1/360*q**5 + 0*q + x - 1/1260*q**7 + 1/720*q**6. Factor c(k).
-k*(k - 1)**2*(k + 1)/6
Let h(y) be the first derivative of 3*y**6/40 + y**5/10 - 3*y**4/8 - y**3 - 3*y**2/2 - 