ive of f**6/40 - f**5/36 - 2*f**4/27 + 2*f**3/27 - 16*f**2. Factor b(v).
(v - 1)*(3*v + 2)*(9*v - 2)/9
Factor -11*f**4 + 6*f - 9*f**2 + 4*f**4 + 10*f**4.
3*f*(f - 1)**2*(f + 2)
Suppose -2*y = -7*y + 15. Let a be -1 + y + (-3 - -1). Determine v, given that a - 4/3*v**2 + 2/3*v + 2/3*v**3 = 0.
0, 1
Let t be 2 + 3/((-9)/4). Suppose -15 = -4*o - 5*f, -4*o - 6 - 9 = -5*f. Factor o + 2/3*u + t*u**2.
2*u*(u + 1)/3
Determine k so that -45*k + 59*k**3 - 20 - 19*k**3 + 8*k**5 + 6*k**5 + 30*k**4 - 9*k**5 - 10*k**2 = 0.
-4, -1, 1
Let h(j) be the second derivative of j**6/30 - j**5/10 - j**4/3 + 4*j**3/3 - 12*j. Suppose h(t) = 0. Calculate t.
-2, 0, 2
Let t = 157 + -155. Let -2*z**4 + 0 + 1/2*z**5 - 2*z**t + 1/2*z + 3*z**3 = 0. Calculate z.
0, 1
Let o be ((-1198)/300 + 4)/(2 - 1). Let q(n) be the second derivative of -1/210*n**7 + 0*n**3 - 1/60*n**4 + 0 + 0*n**2 + 1/100*n**5 + 3*n + o*n**6. Factor q(u).
-u**2*(u - 1)**2*(u + 1)/5
Let i(h) be the first derivative of h**6/10 - 3*h**5/20 - h**4/2 + 7*h + 6. Let g(n) be the first derivative of i(n). Factor g(z).
3*z**2*(z - 2)*(z + 1)
Let t(u) = u**3 + 3*u**2 - 10*u + 1. Let o be t(-5). Let z be o/(-3) - 4/(-12). Suppose -1/5*j**3 + 1/5*j**4 + 0*j**2 + z*j + 0 = 0. Calculate j.
0, 1
Let o be (7 - 8)*1/29. Let a = o - -61/87. Suppose 0 + 2/3*f**4 + a*f**3 - 2/3*f**2 + 0*f - 2/3*f**5 = 0. Calculate f.
-1, 0, 1
Suppose 15*t = 5*t + 20. Factor -4/7 - 18/7*m - t*m**2.
-2*(m + 1)*(7*m + 2)/7
Let -7/2*h**2 + 1/2 + h + 2*h**3 = 0. Calculate h.
-1/4, 1
Let g be (-19)/39 + 4/26. Let d = 0 - g. Let 1/6*v**2 + d*v + 1/6 = 0. Calculate v.
-1
Let c(b) be the third derivative of b**6/30 + b**5/3 + b**4/2 - 6*b**3 + 4*b**2. Factor c(w).
4*(w - 1)*(w + 3)**2
Let t be (11 + -9)/((-1)/(-2)). Let c**5 + 6*c**3 + c**t + 4*c**2 + c + 4*c**4 - c**4 = 0. Calculate c.
-1, 0
Let g(t) be the first derivative of t**7/840 + t**6/360 - t**5/60 - 7*t**3/3 + 6. Let j(c) be the third derivative of g(c). Factor j(r).
r*(r - 1)*(r + 2)
Let l = -9 + 13. Solve c**4 - 2*c - 5*c**2 + l*c**2 - c**3 + 4*c - c**3 = 0 for c.
-1, 0, 1, 2
Let u(x) be the third derivative of 2/3*x**4 + 0*x**3 - 49/72*x**8 - 133/90*x**6 - 6*x**2 + 161/45*x**7 + 0*x + 0 - 46/45*x**5. Suppose u(y) = 0. Calculate y.
-2/7, 0, 2/7, 3
Let c be ((-1542)/135)/((-4)/(-6)). Let s = c - -55/3. Factor -2/5*d + 8/5*d**3 - s*d**2 + 0.
2*d*(d - 1)*(4*d + 1)/5
Let i = -31 - -31. Let j(b) be the third derivative of 1/60*b**5 - 1/3*b**3 + 0*b - 1/24*b**4 - b**2 + i. Factor j(o).
(o - 2)*(o + 1)
Let s be (-2)/1 + (-66)/(-15). Let z = 566/385 + 10/77. Let 2/5*w**4 - 8/5*w - z*w**3 + s*w**2 + 2/5 = 0. Calculate w.
1
Factor 21*b**3 + 15*b**3 + 25*b**3 + 3*b**5 - 13*b**3 - 24*b**4.
3*b**3*(b - 4)**2
Let d(j) be the third derivative of -3*j**2 + 0*j + 0 + 1/100*j**6 + 1/30*j**4 + 1/30*j**5 - 1/525*j**7 - 1/840*j**8 + 0*j**3. Suppose d(c) = 0. Calculate c.
-1, 0, 2
Factor 21/4*y**2 - 9*y - 3.
3*(y - 2)*(7*y + 2)/4
Let v(u) be the third derivative of u**5/90 - 7*u**4/18 + 49*u**3/9 + 24*u**2. Determine d, given that v(d) = 0.
7
Let s be (-1)/(2/(-4) + -1). Let n = 20 + -18. Factor 2/3*j**n - 4/3*j + s.
2*(j - 1)**2/3
Let p(g) = -7*g**4 + 21*g**3 + 26*g**2 + 33*g + 17. Let m(a) = -3*a**4 + 10*a**3 + 13*a**2 + 16*a + 8. Let s(y) = -9*m(y) + 4*p(y). Find w such that s(w) = 0.
-2, -1
Suppose -s + 18 = l + 4*s, 3*s - 12 = 0. Let q be 10/4 - l/(-1). Suppose o**2 - 1/2 - q*o = 0. Calculate o.
-1/2, 1
Let a(c) be the third derivative of -c**6/240 + c**5/30 - 5*c**4/48 + c**3/6 + 11*c**2. Solve a(j) = 0 for j.
1, 2
Let k(y) be the third derivative of y**5/15 - 7*y**4/12 - 4*y**3/3 + 14*y**2. Factor k(g).
2*(g - 4)*(2*g + 1)
Suppose -4*l - 5*j - 8 = -j, -5*j - 5 = 0. Let k be (-2 - l) + (2 - -1). Factor -2*h + 2*h**3 - 3*h**2 + 2*h**4 + k*h**2 - h**2.
2*h*(h - 1)*(h + 1)**2
Suppose -y + 3*h - 2*h + 1 = 0, 0 = -5*h + 15. Suppose y*m - m - 6 = 0. Let 5*z**m - 3*z**2 + z**3 + 3*z**3 + 2*z**4 = 0. What is z?
-1, 0
Let z be (-7 - -1) + (-30)/(-4). Let -1/2*f - z*f**4 - 5/2*f**2 + 0 - 7/2*f**3 = 0. Calculate f.
-1, -1/3, 0
Let q(d) = -3*d + 1. Suppose 0*b - 4 = r - 3*b, 5*b = 5*r + 10. Let f be q(r). Determine x, given that 0 + 2/7*x**f - 2/7*x**3 + 0*x**2 + 0*x = 0.
0, 1
Suppose -6*h = -4*h - 4. Let s = h + 1. Suppose -11*a**3 + 1 + 18*a - 20*a**2 - 3 - 34*a**2 + 65*a**s = 0. What is a?
1/3
Suppose q - 4*m = -2*m + 14, 5*m + 29 = 2*q. Find f such that 52*f**2 + 4 - 8*f - 7*f - 65*f + q + 48*f**3 = 0.
-2, 1/4, 2/3
Let f(x) = 4*x**2 - 8*x - 12. Let u(o) = 4*o**2 - 8*o - 12. Let a(g) = -4*f(g) + 5*u(g). Factor a(i).
4*(i - 3)*(i + 1)
Let u(a) be the first derivative of 2 + a**2 + 3/20*a**5 + a - 1/6*a**3 - 1/3*a**4. Let w(k) be the first derivative of u(k). Solve w(c) = 0 for c.
-2/3, 1
Let q = -14 - -18. Let -2*o**4 - 3 + 5*o**4 - 6*o**3 + 0*o**q + 0*o**4 + 6*o = 0. What is o?
-1, 1
Let t(u) be the first derivative of 1/2*u**4 - u**2 - 2*u - 4 + 2/3*u**3. Let t(r) = 0. Calculate r.
-1, 1
Let j(f) be the first derivative of -1/24*f**4 - 4 + 1/9*f**3 - 1/12*f**2 + 0*f. What is r in j(r) = 0?
0, 1
Let f(j) = -2*j**4 - 2*j**3 - 6*j**2 + 6*j - 6. Let s(a) = a**3 + a**2 - a + 1. Let l(t) = f(t) + 6*s(t). Factor l(h).
-2*h**3*(h - 2)
Let k(z) = -z**3 + 4*z**2 + 2*z - 5. Suppose -4*c + 4 = -3*c. Let l be k(c). Factor 2*u + 6 + 4*u**2 + 2*u**l - 6.
2*u*(u + 1)**2
Let g = 7 - 5. Let m = 49/60 - 5/12. What is t in 2/5 + 6/5*t + m*t**3 + 6/5*t**g = 0?
-1
Suppose 3*o = o. Let y = 2 - o. Factor -2/5*u**y + 0 - 2/5*u.
-2*u*(u + 1)/5
Let x(y) be the second derivative of -y**6/90 - y**5/10 - 11*y**4/36 - y**3/3 - 31*y. Find z such that x(z) = 0.
-3, -2, -1, 0
Suppose 4*p = -35 + 43. Determine u so that 2/5*u + 0 + 2/5*u**p = 0.
-1, 0
Let l = 101 + -65. Find q such that -l*q + 36*q + q**3 = 0.
0
Let x be (-1)/(-2) + 1 + (-6)/4. Solve 0 + x*p + 0*p**2 + 2/5*p**3 + 2/5*p**4 = 0.
-1, 0
Suppose 0 = 4*q - 13*q + 18. Let p(a) be the third derivative of 2/9*a**3 + 1/360*a**6 - 3*a**q + 0 + 0*a + 1/36*a**5 + 1/9*a**4. Factor p(m).
(m + 1)*(m + 2)**2/3
Let m be (-695)/(-140) - 5 - 2/(-7). Suppose 3/4*r - m - 3/4*r**2 + 1/4*r**3 = 0. Calculate r.
1
Let c(b) be the first derivative of 1/5*b**3 + 2 - 1/20*b**4 - 1/5*b**2 + 0*b. Determine x, given that c(x) = 0.
0, 1, 2
Let y(x) be the first derivative of 0*x - 3 + 2/27*x**3 - 2/9*x**2. Factor y(r).
2*r*(r - 2)/9
Let w(x) = -x**3 - x. Let b(q) = -10*q**3 - 22*q**2 - 14*q + 10. Let a(u) = -b(u) + 6*w(u). Factor a(k).
2*(k + 1)*(k + 5)*(2*k - 1)
Suppose 0*s**2 - 1/3*s**4 - 1/3*s**3 + 0*s + 0 = 0. Calculate s.
-1, 0
Let q = 1/82 + 20/41. Factor 0 + 5/4*d**3 + 0*d + q*d**2.
d**2*(5*d + 2)/4
Let i = 1 - 1. Let s = 359/20 - 177/10. Factor s*r**2 + 0*r + i.
r**2/4
Let h(c) be the second derivative of c**5/20 + c**4/2 + 2*c**3 + 4*c**2 + 8*c. Let h(l) = 0. What is l?
-2
Suppose -l**3 + l + 14*l - 3*l - l**3 - 9*l**2 + 3*l**4 - 4 = 0. Calculate l.
-2, 2/3, 1
Suppose -3*p = -4*p - 7*p. Suppose 4/7*u**3 - 2/7*u**4 + 0 + p*u + 0*u**2 = 0. Calculate u.
0, 2
Let 0 - 9/7*v**3 - 5/7*v**5 + 12/7*v**4 + 0*v + 2/7*v**2 = 0. What is v?
0, 2/5, 1
Let w(y) be the second derivative of -y**7/294 - y**6/210 + y**5/70 + y**4/42 - y**3/42 - y**2/14 + 10*y. Suppose w(j) = 0. Calculate j.
-1, 1
Let u(m) be the first derivative of 1/12*m**4 - 1 - 4/3*m**3 + 8*m**2 - 64/3*m. Solve u(l) = 0.
4
Let c be (-2 + 4)/(2/5). Let r(o) be the third derivative of -1/54*o**4 + 1/54*o**c - 1/180*o**6 + 0 + 0*o**3 + o**2 + 0*o. Let r(p) = 0. What is p?
0, 2/3, 1
Determine p, given that -30/7*p - 3/7*p**2 - 75/7 = 0.
-5
Suppose 0 = q + q - 3*q. Factor q - 2/9*n**3 - 2/9*n**2 + 0*n.
-2*n**2*(n + 1)/9
Factor 0 + 2/3*c**2 + 5/6*c - 1/6*c**3.
-c*(c - 5)*(c + 1)/6
Let v = 78/11 - -4/77. Factor 38/7*o**3 + 2*o**4 + 2/7*o**5 + 32/7*o + 8/7 + v*o**2.
2*(o + 1)**3*(o + 2)**2/7
Let q(a) = a**3 - 3*a**2 - 4. Let b be q(4). Let w = 0 - -3. Factor 3*t**3 - 2*t + b*t - 2 + w*t**3 - 14*t**2.
2*(t - 1)**2*(3*t - 1)
Let v = -49/3 - -16. Let f = v - -2/3. Find s, given that f*s**4 + 0*s**3 + 0*s**2 + 0 + 0*s = 0.
0
Let v be 3 + 0/(0 + -2 - -3). Suppose -2/5 - g - 1/5*g**v - 4/5*g**2 = 0. Calculate g.
-2, -1
Let z(r) = r**3 + 4*r**2 + r - 2. Let l be z(-3). Let m(h) be the first derivative of 1/3*h**3 - 1/4*h**4 + 1/2*h**2 - l - h. Let m(k) = 0. What is 