 + 10. Factor u(j).
(j - 1)*(j + 1)**3*(7*j - 2)/7
Let w(i) = 3*i - 16. Let u = 11 + -3. Let a be w(u). Suppose -8/5 + a*h - 18/5*h**2 = 0. What is h?
2/9, 2
Suppose -a + 4 = -4*t + 12, 0 = -4*a - 5*t - 32. Let q(d) = -2*d - 16. Let v be q(a). Factor 2/3*o - 2/3*o**3 + 0*o**2 + v.
-2*o*(o - 1)*(o + 1)/3
Let n(g) = -3*g**3 - 1. Let p(k) = 2*k + 3. Let x be p(-2). Let i be n(x). Factor -1/4 + 1/2*l - 1/4*l**i.
-(l - 1)**2/4
Suppose 3*x = 3*q + 12, 3*q + 10 = -2. Solve 3/5*j**2 - 4/5 + 1/5*j**3 + x*j = 0 for j.
-2, 1
Let n(y) be the third derivative of -6*y**2 - 1/168*y**8 + 0 - 1/12*y**4 + 0*y - 1/3*y**3 + 1/30*y**6 - 1/105*y**7 + 1/15*y**5. Determine k so that n(k) = 0.
-1, 1
Find l, given that 13*l**2 + 35*l**5 + 2*l**3 - 36*l**3 - 36*l**3 - 33*l**2 + 35*l + 10*l**4 + 10 = 0.
-1, -2/7, 1
Let k(u) = 10*u**4 + 13*u**3 + 10*u**2 + 7. Let t(v) = 9*v**4 + 12*v**3 + 9*v**2 + 6. Let a(w) = 6*k(w) - 7*t(w). Factor a(m).
-3*m**2*(m + 1)**2
Let s = -2249/5 + 451. Factor 0 + 2/5*o**4 + 4/5*o + 0*o**3 - s*o**2.
2*o*(o - 1)**2*(o + 2)/5
Let r(p) = -p**3 + 3*p**2 - 3*p - 1. Let q(v) = 3*v**3 - 6*v**2 + 7*v + 1. Let y(w) = 2*q(w) + 5*r(w). Factor y(b).
(b - 1)*(b + 1)*(b + 3)
Let w(o) be the first derivative of -7*o**6/8 + 3*o**5/4 + 27*o**4/16 - 5*o**3/4 - 3*o**2/4 + 4. Find d such that w(d) = 0.
-1, -2/7, 0, 1
Let m(v) be the first derivative of -v**8/10080 + v**7/5040 + v**6/2160 - v**5/720 - v**3/3 - 2. Let b(i) be the third derivative of m(i). Factor b(l).
-l*(l - 1)**2*(l + 1)/6
Let r(p) be the first derivative of 2*p**5/5 - 5*p**4/2 + 16*p**3/3 - 4*p**2 - 7. Solve r(c) = 0.
0, 1, 2
Suppose 27/2*p**4 + 36*p**2 + 8/3 + 36*p**3 + 16*p = 0. What is p?
-2/3
Let j = -20 + 14. Let g be (6/9)/((-2)/j). Find c such that -2/7*c**g + 0 - 2/7*c = 0.
-1, 0
Let f(v) = 2*v - 22. Let g be f(12). Let j(r) be the first derivative of -g + 0*r**2 + 0*r - 2/21*r**3 + 1/14*r**4 + 4/35*r**5. What is d in j(d) = 0?
-1, 0, 1/2
Let s(b) be the third derivative of b**6/120 - b**5/48 - 7*b**4/96 + b**3/12 - 11*b**2. Solve s(o) = 0.
-1, 1/4, 2
Let f(h) = -5*h**3 + 8*h**2 - h - 2. Let a(b) = -16*b**3 + 25*b**2 - 2*b - 7. Let r(y) = 2*a(y) - 7*f(y). Factor r(g).
3*g*(g - 1)**2
Let w be (-3 - -7)*(-10)/(-8). Find f such that -f**5 - 2*f**2 - f + 2*f**3 + f**4 + 0*f**w + 1 + 0*f**2 = 0.
-1, 1
Let w(t) = 4*t - 88. Let n be w(22). Let -2/7*o**2 + 0*o + n + 2/7*o**5 - 6/7*o**4 + 6/7*o**3 = 0. Calculate o.
0, 1
Let a(d) = d**3 + 5*d**2 + d + 7. Let r be a(-5). Let g = r - -2. Determine z, given that 8*z**3 - z**g + 16 + 0*z**4 + 19*z**2 + 2*z**4 + 32*z + 5*z**2 = 0.
-2
Let w(s) be the first derivative of -2*s**3/3 - 2*s**2 - 2*s + 11. Factor w(h).
-2*(h + 1)**2
Let k(q) be the third derivative of -q**7/70 - q**6/20 + q**4/4 + q**3/2 + 5*q**2. Let k(n) = 0. What is n?
-1, 1
Let h(a) be the first derivative of -2 + 1/4*a**2 + 1/4*a**3 + 0*a - 5/16*a**4. Suppose h(f) = 0. What is f?
-2/5, 0, 1
Suppose 22 - 8 - 10 - 2*n**2 + 0*n + 2*n = 0. What is n?
-1, 2
Let d = 2080 + -27000/13. Factor d*y - 8/13 + 14/13*y**3 - 46/13*y**2.
2*(y - 2)*(y - 1)*(7*y - 2)/13
Let m(f) = -f**5 - f**3 + f**2 + f. Let d(b) = -7*b**5 + b**4 - 4*b**3 + 4*b**2 + 5*b + 1. Let o(t) = d(t) - 6*m(t). Find k, given that o(k) = 0.
-1, 1
Let v(r) be the second derivative of r**5/15 - 5*r**4/12 + 2*r**3/3 + 2*r**2/3 - 6*r. Factor v(o).
(o - 2)**2*(4*o + 1)/3
Suppose 7/5*q**3 - 18/5*q**2 - 8/5 - 1/5*q**4 + 4*q = 0. Calculate q.
1, 2
Factor -4/5 + 16/5*j + 16/5*j**3 - 24/5*j**2 - 4/5*j**4.
-4*(j - 1)**4/5
Let x = 17 - 12. Suppose -16*n**4 - 42*n**2 + 6 - 7*n - 12*n**3 - 2*n + 21*n**x + 23*n**4 + 29*n**4 = 0. What is n?
-1, 2/7, 1
Suppose 3*p = -q - 5, -4*q + 7 = 2*p - 3. Factor -2*a + 4*a - a**3 + a**q - a**2 - a.
a*(a - 1)**2*(a + 1)
Let b be 1 - (0 - (-6 - -5)). Suppose -3/2*r + b + 3/4*r**2 = 0. Calculate r.
0, 2
Let n(m) be the first derivative of m**7/560 - m**6/72 + 3*m**5/80 - m**4/24 + 4*m**3/3 - 6. Let r(v) be the third derivative of n(v). Factor r(c).
(c - 2)*(c - 1)*(3*c - 1)/2
What is i in -3 - i**2 + 2 + 4 - 2*i = 0?
-3, 1
Let t(a) be the first derivative of 12*a**3 + 6 + 0*a + 15/4*a**4 + 6*a**2. Factor t(s).
3*s*(s + 2)*(5*s + 2)
Let n = -8 + 12. Let q(x) be the third derivative of -1/21*x**3 + 0*x + 1/210*x**5 + 0*x**n + 2*x**2 + 0. Factor q(s).
2*(s - 1)*(s + 1)/7
Let v be ((-8)/56)/(4/(-14)). Factor -v - 1/2*a**2 + a.
-(a - 1)**2/2
Let o(q) be the third derivative of -q**7/420 + 7*q**6/360 - q**5/30 + q**4/12 - 3*q**2. Let w(v) be the second derivative of o(v). Factor w(l).
-2*(l - 2)*(3*l - 1)
Suppose 2*v - 6 = -0. Determine o so that -20*o + 15*o**3 + 8 - 8*o**v - 11*o**3 + 16*o**2 = 0.
1, 2
Let m(d) be the third derivative of -d**5/240 + 7*d**2. Factor m(h).
-h**2/4
Find s such that -14/9*s**4 + 4/9 + 55/9*s**2 + 28/9*s + 25/9*s**3 - 8/9*s**5 = 0.
-2, -1, -1/2, -1/4, 2
Suppose -3*k + j + 4 + 4 = 0, -j = -k. Let q(d) = d**2 - 3*d - 1. Let u be q(k). Factor 0 - 2/11*t**u + 0*t**2 + 0*t - 2/11*t**4.
-2*t**3*(t + 1)/11
Let p = 5 + 1. Suppose 5*u - p*u + 2 = 0. Factor -2/3*j + 2/3 + 2/3*j**3 - 2/3*j**u.
2*(j - 1)**2*(j + 1)/3
Let k(z) be the third derivative of z**6/96 + z**5/2 + 10*z**4 + 320*z**3/3 - 2*z**2 - 8. Factor k(q).
5*(q + 8)**3/4
Suppose 2*a - 6 = -2*s, -s + 9 = 2*s + 2*a. Let f(y) be the third derivative of 0*y**4 + 0*y - 2*y**2 - 1/60*y**5 + 0 + 0*y**s. Factor f(k).
-k**2
Let g(a) be the first derivative of -4*a**3/27 - 2*a**2 - 56*a/9 - 21. Factor g(f).
-4*(f + 2)*(f + 7)/9
Let 0 - 1/4*r**4 + 0*r + 1/4*r**2 + 0*r**3 = 0. What is r?
-1, 0, 1
Suppose 2*p + 0*p = 20. Let -p - 7 + 3*y**2 + 16 + 2*y = 0. What is y?
-1, 1/3
Let h(r) be the second derivative of -2/35*r**5 - r - 2/21*r**3 + 0 + 1/7*r**2 - 1/6*r**4. Suppose h(f) = 0. What is f?
-1, 1/4
Suppose 0 = 2*t + 23 - 29. Let a(m) be the first derivative of -4 + 9/14*m**2 + 3/28*m**4 - 3/7*m - 3/7*m**t. Let a(j) = 0. What is j?
1
Let l = 3 + -1. Determine h so that h**2 + 2*h + h**2 - 4*h**l + 0*h**2 = 0.
0, 1
Suppose -3*f - u = -f - 9, 0 = f + 4*u - 8. Suppose -6 = -7*g + f*g. Determine m so that -81*m - 14*m**g + 9*m**2 + 81 + 19*m**2 - 3*m**3 + 13*m**2 = 0.
3
Let y(j) be the first derivative of 4*j**5/15 - 4*j**4/3 + 20*j**3/9 - 4*j**2/3 + 1. Factor y(l).
4*l*(l - 2)*(l - 1)**2/3
Suppose 0*u - 25 = -4*q - 5*u, 0 = -5*q + 2*u + 23. Let 4*k**2 + 4*k**2 - q*k**2 = 0. Calculate k.
0
Factor 2*d**4 - 2*d**3 + 10*d**3 + 4*d**2 + 6*d**2 + 4*d.
2*d*(d + 1)**2*(d + 2)
Suppose -5*d + 0 = m + 4, d = -5*m - 20. Let a(o) be the second derivative of 0*o**2 - 1/50*o**5 + d + 1/15*o**3 - 2*o + 1/75*o**6 - 1/30*o**4. Factor a(f).
2*f*(f - 1)**2*(f + 1)/5
Let j(c) be the second derivative of c**7/1260 - c**6/180 + c**5/60 + c**4/3 - 3*c. Let t(r) be the third derivative of j(r). Determine q, given that t(q) = 0.
1
Let j(b) be the third derivative of b**5/20 - b**4/8 - b**3 + 4*b**2. Factor j(f).
3*(f - 2)*(f + 1)
Let m(c) be the first derivative of -3*c**4/8 - 2*c**3/3 - c**2/4 - 11. Factor m(w).
-w*(w + 1)*(3*w + 1)/2
Let v = 146 - 144. Factor 2/3*z + 0 - v*z**2 + 2*z**3 - 2/3*z**4.
-2*z*(z - 1)**3/3
Let w(a) be the first derivative of -a**6/90 + a**5/60 + a**4/36 - a**3/18 - 3*a - 2. Let k(y) be the first derivative of w(y). Let k(p) = 0. What is p?
-1, 0, 1
Let d = 5 - 11. Let i = -6 - d. Determine h so that i*h**3 + 0 - 4/3*h**4 - 2/3*h + 4/3*h**2 + 2/3*h**5 = 0.
-1, 0, 1
Let b(n) be the third derivative of -n**7/735 + n**6/420 + n**5/30 - 13*n**4/84 + 2*n**3/7 - 10*n**2 - 1. Find c, given that b(c) = 0.
-3, 1, 2
Let w(l) be the first derivative of -l**8/168 - 4*l**7/105 - l**6/12 - l**5/15 + 3*l**2 + 9. Let u(i) be the second derivative of w(i). Factor u(n).
-2*n**2*(n + 1)**2*(n + 2)
Let d(p) = 3*p**3 - 7*p**2 - 3*p + 3. Let z(v) = 21*v**3 - 48*v**2 - 21*v + 21. Let c(n) = -27*d(n) + 4*z(n). Factor c(a).
3*(a - 1)**2*(a + 1)
Let 7*t - 64 + 25*t + 0*t**2 - 4*t**2 = 0. Calculate t.
4
Let b(q) = -q - 6. Let r be b(-11). Let x(s) be the third derivative of 0 + 0*s**r + s**2 + 0*s**3 + 0*s + 1/180*s**6 + 0*s**4. Find a such that x(a) = 0.
0
Factor 5*r**4 + 0*r**4 - 2*r**4 + 22*r**3 - r**3.
3*r**3*(r + 7)
Let -22*k**3 + 35*k**3 - 11*k**3 + 2*k**2 = 0. What is k?
-1, 0
Suppose 0 = 2*j - 6*j + 20. Suppose w + 3 = j. Factor 0*x - x**5 + w*x**3 - x + 0*x**3.
-x*(