u**2 + 14/3*u**5 + 0.
2*u**3*(3*u + 1)*(7*u - 2)/9
Let q(k) be the second derivative of -k**5/30 - k**4/3 - 4*k**3/3 - 8*k**2/3 - 3*k. Find r, given that q(r) = 0.
-2
Let f(u) = -3*u - 3. Let b be 0 + 1/(-1) + -1. Let p be f(b). Determine q, given that 0*q**4 - q**4 - 2*q + q - 3*q**2 - 3*q**p = 0.
-1, 0
Let q(z) = -3*z - 3. Let w be q(6). Let p = w - -23. Factor -4/3 + 2/3*f + 4/3*f**p - 2/3*f**3.
-2*(f - 2)*(f - 1)*(f + 1)/3
Let w(o) = -1. Let y(k) = -k**4 - 3*k**3 - 3*k**2 - k + 2. Let c(l) = -2*w(l) - y(l). Solve c(h) = 0 for h.
-1, 0
Let k = 30 + -25. Let t(p) be the third derivative of 1/60*p**6 + 0 - 1/30*p**k - 1/12*p**4 + 0*p + 0*p**3 + 1/105*p**7 + 2*p**2. Solve t(c) = 0.
-1, 0, 1
Factor 4/15*a**4 + 0*a + 0 - 2/15*a**3 + 0*a**2 - 2/15*a**5.
-2*a**3*(a - 1)**2/15
Let t(p) be the first derivative of 2 - 1/18*p**3 - 1/3*p - 1/4*p**2. Determine q so that t(q) = 0.
-2, -1
Let q = -3617/10 + 362. Let o(f) be the first derivative of -1/4*f**4 - 1/12*f**6 + 0*f**3 + 4 + 0*f + 0*f**2 - q*f**5. Factor o(d).
-d**3*(d + 1)*(d + 2)/2
Let s(b) = -b**3 + b**2 + 23*b - 42. Let r be s(2). Factor 0*f - 8/5*f**2 - 2/5*f**4 + 8/5*f**3 + r.
-2*f**2*(f - 2)**2/5
Let n = 4 - 4. Let f(b) be the first derivative of n*b - 2 - 1/11*b**2 - 1/22*b**4 - 4/33*b**3. Factor f(c).
-2*c*(c + 1)**2/11
Suppose 2/7*b**2 + 8/7*b + 8/7 = 0. What is b?
-2
Suppose -12 + 338*u**2 - 3*u**4 - 191*u**2 - 186*u**2 - 18*u**3 - 36*u = 0. Calculate u.
-2, -1
Let y = -1 - -4. Determine u so that 6*u**3 - 2*u**4 + y*u - 10*u**2 - u + 4*u**2 = 0.
0, 1
Let i be (-179)/4 + 3/(-12). Let w be (2/6)/((-30)/i). Factor 0*k + 0 + 1/2*k**3 - w*k**2.
k**2*(k - 1)/2
Let s(a) be the third derivative of 4*a**7/945 - a**6/54 + a**5/45 + a**2. Find z such that s(z) = 0.
0, 1, 3/2
Let v be 88/(-297) + (-2)/(-6). Let h(c) be the second derivative of -1/27*c**3 + c - v*c**4 + 0 + 0*c**2 - 1/90*c**5. Let h(s) = 0. What is s?
-1, 0
Let s(b) be the first derivative of 4 + 2/3*b + 1/3*b**2 - 2/9*b**3 - 1/6*b**4. Determine a so that s(a) = 0.
-1, 1
Suppose -5*o + 4*a + 5 = -3, -4*o + 19 = a. Let w(d) be the third derivative of -d**2 + 1/120*d**5 - 1/48*d**o + 0*d**3 + 0*d + 0. Factor w(g).
g*(g - 1)/2
Let w(m) be the third derivative of -2*m**2 + 21/40*m**5 - 17/24*m**4 + 0 + 0*m + 1/3*m**3 + 27/160*m**6. Solve w(r) = 0 for r.
-2, 2/9
Let f = -406 + 2044/5. Let k be (-3)/5*8/(-6). Solve f*b**2 + k*b + 2*b**3 + 0 = 0.
-1, -2/5, 0
Let t = -20 + 30. Solve -t*g + 7*g - g + 2*g**4 - 8*g**3 + 10*g**2 = 0 for g.
0, 1, 2
Let x(q) be the second derivative of -q**5/120 - q**4/72 + q**3/36 + q**2/12 + q. Suppose x(s) = 0. Calculate s.
-1, 1
Let x be 1*2 - (264/(-12))/11. Suppose 0 + 4/5*k**3 - 2/5*k + 0*k**x - 2/5*k**5 + 0*k**2 = 0. What is k?
-1, 0, 1
Find m such that 1/4*m**2 + 0*m + 1/4*m**4 + 1/2*m**3 + 0 = 0.
-1, 0
Let l be (2/10)/(60/50). Let z(u) be the third derivative of 0*u + 0 + 1/3*u**3 + 1/30*u**5 - u**2 - l*u**4. Determine x so that z(x) = 0.
1
Let z(a) be the first derivative of 0*a**4 + 0*a + 2/25*a**5 - 1/30*a**6 - 2/15*a**3 + 1/10*a**2 + 2. Find j such that z(j) = 0.
-1, 0, 1
Find i, given that -4*i**5 - 3*i**5 + 9*i**3 + 0*i**5 + 4*i**5 + 6*i**2 = 0.
-1, 0, 2
Suppose -2*t + 32 = 2*b, b + 48 = 4*t - 3*b. Let o be 1/55 + t/77. What is p in -o*p**2 + 1/5 + 0*p = 0?
-1, 1
Let y be 6/45*15/10. Factor 4/5*g + 1/5*g**2 - 4/5*g**3 - y.
-(g - 1)*(g + 1)*(4*g - 1)/5
Let l = 2725 + -653999/240. Let b(i) be the third derivative of 0*i + 1/24*i**3 - l*i**5 + 0 + 0*i**4 - 4*i**2. Determine m, given that b(m) = 0.
-1, 1
Let n(l) = -l**3 - l**2 + l + 1. Let m(p) = 3*p**5 - 6*p**4 + 21*p**3 + 18*p**2 - 18*p - 18. Let v(u) = -m(u) - 18*n(u). Factor v(h).
-3*h**3*(h - 1)**2
Suppose -5*r - 4*k = -0*k + 72, 3*k = -9. Let q be -2 - -1 - r/8. Find w, given that 0*w - 1/4*w**5 + 0 - q*w**4 - 1/4*w**3 + 0*w**2 = 0.
-1, 0
Let w(j) be the second derivative of 1/78*j**4 - 1/13*j**3 + 0 + 2*j + 2/13*j**2. Factor w(t).
2*(t - 2)*(t - 1)/13
Let j(r) be the first derivative of r**3/6 - r**2/2 + r/2 + 11. What is n in j(n) = 0?
1
Let d(s) be the second derivative of 2*s + 11/21*s**3 - 1/21*s**7 - 2/7*s**2 + 16/105*s**6 - 2/35*s**5 + 0 - 1/3*s**4. Find q such that d(q) = 0.
-1, 2/7, 1
Let r(m) be the first derivative of 2*m**5/5 + 13*m**4/8 + 5*m**3/2 + 7*m**2/4 + m/2 - 15. Solve r(i) = 0 for i.
-1, -1/4
Let x(m) be the first derivative of m**6/6 + m**5/3 - m**4/12 - 5*m**3/9 - m**2/3 + 4. Let x(v) = 0. What is v?
-1, -2/3, 0, 1
Suppose z + 4*z = 620. Let n be z/16 - 3 - 3. Factor -n*h**3 - 1/2 - 11/4*h - 4*h**2.
-(h + 1)**2*(7*h + 2)/4
Let c be (-47)/(-7) - (-12)/42. Suppose 4*f = 1 + c. Factor -6*h**2 - 4 + 0*h + f + 2*h**3 + 6*h.
2*(h - 1)**3
Let b(f) be the first derivative of 2/21*f**3 + 8/7*f - 1 + 4/7*f**2. Factor b(c).
2*(c + 2)**2/7
Let x = 150 + -148. Let b(g) be the first derivative of 3 + 1/5*g**x + 0*g + 2/15*g**3. Find o such that b(o) = 0.
-1, 0
Let r(a) be the third derivative of -a**5/90 - a**4/6 - 5*a**3/9 - 11*a**2. Determine g, given that r(g) = 0.
-5, -1
Let g(j) be the second derivative of -j**6/60 - 2*j**2 + 3*j. Let l(c) be the first derivative of g(c). Factor l(w).
-2*w**3
Determine g so that -3/7 - 6/7*g + 6/7*g**3 + 3/7*g**2 = 0.
-1, -1/2, 1
Let b(t) be the second derivative of -5/6*t**4 - t - 1/42*t**7 - 1/2*t**5 - 1/6*t**6 - 1/2*t**2 - 5/6*t**3 + 0. Find h such that b(h) = 0.
-1
Let j be -1 + (-2 - -3) + 2. Let d be 12/j*1 - 1. Factor -2*l**2 - 9/2*l**d + l**3 - 1/2*l + 0 + 6*l**4.
-l*(l - 1)**2*(3*l + 1)**2/2
Let f(b) be the first derivative of -1/3*b**3 - 1/2*b**2 - 4 + 0*b + 1/2*b**4. Factor f(i).
i*(i - 1)*(2*i + 1)
Let h = 482 - 2408/5. Suppose 0*j - 2/5*j**4 + 4/5*j**3 + 0 - h*j**2 = 0. Calculate j.
0, 1
Suppose t - 4 = -3*k, -2*t - t + 12 = 5*k. Factor k + 10*o**2 + 4/3*o + 21*o**3 + 49/6*o**4.
o*(o + 2)*(7*o + 2)**2/6
Let f(t) be the third derivative of -5*t**9/9072 + t**8/1008 - t**7/1890 + t**4/12 - t**2. Let x(y) be the second derivative of f(y). Factor x(n).
-n**2*(5*n - 2)**2/3
Factor 40/7*b**3 - 64/7 - 132/7*b**2 - 4/7*b**4 + 160/7*b.
-4*(b - 4)**2*(b - 1)**2/7
Let y(p) be the first derivative of -p**7/280 + 7*p**6/360 - p**5/24 + p**4/24 - 4*p**3/3 + 2. Let n(v) be the third derivative of y(v). Factor n(j).
-(j - 1)**2*(3*j - 1)
Let u be (3 - (-2 - -5)) + -7. Let l be ((-18)/(-63))/((-1)/u). Let 2/7*s**3 + 0*s**l + 0 + 0*s + 0*s**4 - 2/7*s**5 = 0. Calculate s.
-1, 0, 1
Let i(x) be the third derivative of x**5/30 - 5*x**4/12 - 18*x**2. Find k, given that i(k) = 0.
0, 5
Let z(w) = w**3 - 4*w**2 - 5*w + 6. Let j be z(5). Factor -8*h + h**2 + 1 + 0*h**2 + j*h.
(h - 1)**2
Let t(p) be the first derivative of p**5/25 - p**4/20 - 7*p**3/15 + 13*p**2/10 - 6*p/5 + 31. Factor t(g).
(g - 2)*(g - 1)**2*(g + 3)/5
Factor -16 + 32*l + 4*l**2 - 32*l.
4*(l - 2)*(l + 2)
Let o be 0 + -3 + 5 + 22. Factor 5*l**3 + 3*l**2 + 24*l + 9*l**4 - 3*l**5 - o*l - 14*l**3.
-3*l**2*(l - 1)**3
Let n = -2 - -2. Suppose -6 = -3*c - w, -c - 2*c + 6 = 5*w. Factor -v**c + 2/5*v - 7/5*v**3 + n.
-v*(v + 1)*(7*v - 2)/5
Let c(o) be the third derivative of -7*o**5/30 + 4*o**4/3 - 4*o**3/3 - 4*o**2. What is n in c(n) = 0?
2/7, 2
Let b(x) be the first derivative of 4*x**3/3 - 20*x**2 + 100*x + 26. Factor b(p).
4*(p - 5)**2
Let k(t) be the second derivative of t**4/72 + t**3/18 + t**2/12 - 5*t. Factor k(r).
(r + 1)**2/6
Let j be 3 + 3*(-4)/12. Let 6/5*y**3 - 8/5*y**j + 4/5 - 2/5*y = 0. What is y?
-2/3, 1
Let j(y) be the second derivative of 0*y**2 + 0 + 1/90*y**6 + 0*y**3 + 1/36*y**4 - 1/30*y**5 + 5*y. Determine n, given that j(n) = 0.
0, 1
Let s be 3/15 + 22/(-90). Let o = s + 11/45. Factor 4/5*u**2 + o*u + 0 + 2/5*u**4 + u**3.
u*(u + 1)**2*(2*u + 1)/5
Let x(p) be the second derivative of -p**6/90 - p**5/12 - p**4/4 - 7*p**3/18 - p**2/3 + 5*p. Solve x(m) = 0.
-2, -1
Let i(n) be the first derivative of n**4/4 - n**3/6 - n**2/2 + n/2 + 13. Suppose i(m) = 0. What is m?
-1, 1/2, 1
Factor 0*a - 2/9*a**2 + 2/9.
-2*(a - 1)*(a + 1)/9
Factor -2/19*c**4 - 2/19*c**5 + 4/19*c**3 - 2/19*c + 4/19*c**2 - 2/19.
-2*(c - 1)**2*(c + 1)**3/19
Let j(p) be the second derivative of 25*p**4/12 + 40*p**3/3 + 15*p**2/2 + 17*p. Suppose j(u) = 0. What is u?
-3, -1/5
Factor 0 + 0*q**2 + 3*q + 3/4*q**4 - 9/4*q**3.
3*q*(q - 2)**2*(q + 1)/4
Let q = -11 + 19. Let 