7248/195. Let l = b - -40/3. Factor -4/5*c**4 - 2/5*c**5 + 0 + 0*c + 0*c**2 - l*c**3.
-2*c**3*(c + 1)**2/5
Suppose 3 = -r + 5*p + 12, -5*p + 7 = 3*r. Suppose 0 = -4*m - 0 + 16. Find b such that -5*b**r - b**m + 6*b**2 + 2*b**5 + 2*b**3 - 4*b + 0*b**3 = 0.
-1, 0, 1, 2
Let g(n) be the second derivative of 2/5*n**6 + n - 5/4*n**4 - 3/2*n**3 + 0 + 9/20*n**5 + 3/2*n**2. Factor g(a).
3*(a - 1)*(a + 1)**2*(4*a - 1)
Let c be (-77)/(-22) + (3/2 - 1). Factor -4/3 + 2*y**3 - 2*y + 2/3*y**2 + 2/3*y**c.
2*(y - 1)*(y + 1)**2*(y + 2)/3
Let x(o) be the second derivative of 4*o**2 - 4*o**3 + 0 + 1/15*o**6 - 3/5*o**5 + 13/6*o**4 + 2*o. Find p, given that x(p) = 0.
1, 2
Let q be 146/(5/1 + -3). What is d in -17*d**3 - q*d**3 - 5*d - 2*d - 50*d**4 - d - 48*d**2 = 0?
-1, -2/5, 0
Let r = 868/15 - 173/3. Factor 1/5*l + r*l**2 + 0.
l*(l + 1)/5
Suppose 0 = -q - 0*q - 4*k + 6, 0 = -3*k + 3. Let -5/2*o**q + 3/2*o + 1 = 0. Calculate o.
-2/5, 1
Let l(j) be the first derivative of j**6/39 - 2*j**5/65 - j**4/26 + 2*j**3/39 - 15. Factor l(v).
2*v**2*(v - 1)**2*(v + 1)/13
Suppose u = -2*l + 3 - 0, -5*l + 9 = 2*u. Let s(r) be the first derivative of 0*r - 1/14*r**4 + 4/21*r**l - 3 - 1/7*r**2. Factor s(g).
-2*g*(g - 1)**2/7
Suppose 2*i - 2 = 2. Suppose 2*m**i - 5 + 4 - 4*m + 2 + 1 = 0. What is m?
1
Let y(z) be the third derivative of 4*z**2 - 1/210*z**5 + 2/21*z**3 + 1/84*z**4 + 0*z + 0. Factor y(p).
-2*(p - 2)*(p + 1)/7
Let d = 28/3 - 9. Let c = -52/3 + 18. Determine s, given that d*s + 1/3*s**2 - c = 0.
-2, 1
Let z(c) be the third derivative of -c**6/540 - c**5/90 - c**4/36 + c**3/2 + 2*c**2. Let j(n) be the first derivative of z(n). Factor j(m).
-2*(m + 1)**2/3
Suppose 11 = 3*q - 1. Solve -6*i**5 + 18*i**5 - 4*i**q + 0*i**4 = 0.
0, 1/3
Let o(f) be the second derivative of -f**5/240 + f**4/48 - f**3/24 - f**2/2 + 5*f. Let r(w) be the first derivative of o(w). Factor r(d).
-(d - 1)**2/4
Suppose 0 = -4*k + 3*k + 10. Suppose k*t = 15*t. Factor -2/5*f**3 + t + 0*f + 2/5*f**2.
-2*f**2*(f - 1)/5
Suppose 0 = r + 2*c - 7 - 5, -2*r + 5*c - 21 = 0. Factor -k - k**3 + 2*k - k**2 - 2*k**2 + 4*k**r - k**4.
-k*(k - 1)*(k + 1)**2
Factor -12*u + 6 + 15/2*u**2 - 3/2*u**3.
-3*(u - 2)**2*(u - 1)/2
Suppose 2*u + 2*y = y + 12, -4 = -y. Factor 0*v**4 - 4*v**3 + 2*v**4 + 0 + 2 + 2*v**5 + 2*v - u*v**2.
2*(v - 1)**2*(v + 1)**3
Let i = 9/5 - 13/10. What is y in 0*y + i*y**2 - 1/2 = 0?
-1, 1
Let x(f) be the third derivative of 1/180*f**5 + 0 - 1/18*f**3 + 0*f + f**2 + 0*f**4. Factor x(m).
(m - 1)*(m + 1)/3
Let h = -3 - -6. Factor -2 + d**2 + h*d**3 - 2*d**2 + 3*d**2 - 3*d + 0.
(d - 1)*(d + 1)*(3*d + 2)
Let 9*b**3 - 21*b**3 + 6*b**3 + 12*b**2 + 9*b**3 + 9*b = 0. What is b?
-3, -1, 0
Let q be 14/1*(-84)/152*-4. Factor -16/19 + 168/19*z - q*z**2 + 686/19*z**3.
2*(7*z - 2)**3/19
Factor 23*x + 74*x + 5*x**2 - 27*x.
5*x*(x + 14)
Let 2*h**3 + 11*h**2 - 17*h**2 + 7*h**3 = 0. Calculate h.
0, 2/3
Factor -2/5*v**4 + 8/5*v + 0*v**2 - 6/5*v**3 + 0.
-2*v*(v - 1)*(v + 2)**2/5
Let g(p) = -8*p**4 + 2*p**3 + 4*p**2 + 8*p - 1. Let j(i) = -15*i**4 + 3*i**3 + 9*i**2 + 15*i - 3. Let t(q) = 9*g(q) - 5*j(q). Factor t(n).
3*(n - 1)**2*(n + 1)*(n + 2)
Let y(h) be the second derivative of h**7/525 - h**5/75 + h**3/15 - 3*h**2/2 - 2*h. Let v(p) be the first derivative of y(p). Solve v(n) = 0.
-1, 1
Let c = -13 - -18. Solve s**3 - 4*s**5 + 2*s**3 + s**c = 0.
-1, 0, 1
Determine n so that -2/3*n - 1/3*n**2 + 4/3 + 1/6*n**3 = 0.
-2, 2
Let q be (-2)/4*(-4 - -4). Suppose 4 = -2*d - q*d - 4*v, d = -4*v - 4. Solve 0 + 2/3*z**2 + 2*z**5 + 2/3*z**3 + d*z - 10/3*z**4 = 0 for z.
-1/3, 0, 1
Let f = 4 - 2. Let g(z) be the second derivative of -1/36*z**4 + 0*z**2 + f*z - 1/18*z**3 + 0 + 1/90*z**6 + 1/60*z**5. Solve g(b) = 0 for b.
-1, 0, 1
Let h = -13 + 18. Let i(s) = -s**3 + 5*s**2 + 2*s - 4. Let k be i(h). Factor k*l**3 - 3*l**2 + 0*l**4 + 0*l**3 - 3*l**4.
-3*l**2*(l - 1)**2
Let p(s) be the second derivative of s**4/6 + 2*s**3 + 9*s**2 + 2*s. Let f(c) = 2*c**2 + 12*c + 18. Let q(w) = 4*f(w) - 3*p(w). What is g in q(g) = 0?
-3
Let n(q) = -q**3 + 12*q**2 + q - 12. Let c be n(12). Suppose c*v**2 - v - 1/2*v**4 + 1/2 + v**3 = 0. Calculate v.
-1, 1
Let c(a) = -2*a - 4. Let i be c(-7). Suppose -5*v = -3*m - i*v - 15, 2*m + 5*v + 15 = 0. What is p in 0 + 4/3*p**4 - 2/3*p**3 + 0*p**2 + m*p - 2/3*p**5 = 0?
0, 1
Let i be 5*(-1)/(5/(-6)). Suppose -3*c = -i*c + 12. Factor 12/5*m**2 - 24/5*m**3 - 6/5*m**5 + c*m**4 - 2/5*m + 0.
-2*m*(m - 1)**3*(3*m - 1)/5
Let w(t) be the first derivative of 1 + 1/6*t + 1/18*t**3 + 1/6*t**2. Factor w(f).
(f + 1)**2/6
Let b(w) be the third derivative of w**7/70 - w**5/10 + w**3/2 - w**2. Factor b(c).
3*(c - 1)**2*(c + 1)**2
Let h(x) = x + 2. Let m be h(-2). Suppose m = 3*i - 5*y - 34, -20 = i - 6*i + y. Let -3*z**2 + 3*z**4 + 0 + 2/3*z**i - 4/3*z**5 + 2/3*z = 0. What is z?
-1, 0, 1/4, 1, 2
Let s(p) be the first derivative of -12*p**5/5 - 5*p**4 - 8*p**3/3 - 13. Find u, given that s(u) = 0.
-1, -2/3, 0
Factor -4/3*w**3 - 2/9*w + 8/9*w**4 - 2/9*w**5 + 8/9*w**2 + 0.
-2*w*(w - 1)**4/9
Let u(p) be the third derivative of -p**6/120 + p**5/60 + p**4/6 - 2*p**3/3 + 9*p**2. Let u(k) = 0. What is k?
-2, 1, 2
Let m(y) be the first derivative of -8*y**6/15 + 8*y**5/5 - 3*y**4/2 + 2*y**3/3 - 2*y**2 + 5. Let i(o) be the second derivative of m(o). Factor i(w).
-4*(w - 1)*(4*w - 1)**2
Suppose -4*l + 8 = -0, 3*o + 4 = 5*l. Suppose 1/2*g**o + 1 - 3/2*g = 0. What is g?
1, 2
Let q(a) = 5*a**2 + 4*a. Let w be q(-1). Let j(o) = 3*o**2 - 4*o + 1. Let k = -6 - -2. Let c(u) = u**2 - u. Let v(b) = k*c(b) + w*j(b). Factor v(l).
-(l - 1)*(l + 1)
Let d be (3/(-5))/(1/(-15)). Determine j so that 3*j**2 - d*j**3 - 5 + 6*j**4 + 5 = 0.
0, 1/2, 1
Factor -2/9 - 2/9*h - 2/9*h**4 + 4/9*h**3 + 4/9*h**2 - 2/9*h**5.
-2*(h - 1)**2*(h + 1)**3/9
Let q(m) = 3*m**2 - 4*m + 1. Let g be q(3). Suppose 0 = -9*w + 5*w + g. Factor 0 - 1/2*h**2 + 1/2*h**w + 0*h**3 + 0*h.
h**2*(h - 1)*(h + 1)/2
Let l(p) be the second derivative of p**6/75 + 4*p**5/25 + p**4/5 - 8*p**3/15 - 7*p**2/5 - 38*p. Determine v so that l(v) = 0.
-7, -1, 1
Let v(c) be the second derivative of -c**8/3360 + c**7/1260 + c**4/6 + 3*c. Let r(x) be the third derivative of v(x). Factor r(k).
-2*k**2*(k - 1)
Let c(o) be the second derivative of -o**6/60 + o**4/4 + 2*o**3/3 + 3*o**2/4 + 5*o. Find r, given that c(r) = 0.
-1, 3
Let s = -51/52 - -16/13. Let b(j) be the first derivative of 0*j + s*j**4 - 1 + 0*j**2 + 1/3*j**3. Factor b(v).
v**2*(v + 1)
Suppose -2 - 2 = -4*n. Suppose -1 = -f + n. Factor 0 - 2 - 4*y**2 + 2*y**f + 4*y.
-2*(y - 1)**2
Let n(q) = -q**3 + 19*q**2 + 66*q + 41. Let g(y) = -y**3 + 10*y**2 + 33*y + 20. Let a(t) = 5*g(t) - 2*n(t). Factor a(c).
-3*(c - 6)*(c + 1)**2
Let x be ((-8)/(-5) + -1)/((-92)/(-115)). Let -1/4 + z**4 - x*z**2 + 5/4*z - 5/4*z**3 = 0. What is z?
-1, 1/4, 1
Let p(u) be the second derivative of u**6/12 - 17*u**5/30 + 4*u**4/3 - 4*u**3/3 - u**2 + u. Let a(o) be the first derivative of p(o). Find m such that a(m) = 0.
2/5, 1, 2
Let z(k) be the third derivative of k**7/420 + k**6/120 - k**4/24 - k**3/12 + 3*k**2. Factor z(l).
(l - 1)*(l + 1)**3/2
Let b = -52/3 - -18. Let h = 1/47 - -91/141. Factor 0*m - b*m**4 - h*m**5 + 2/3*m**3 + 0 + 2/3*m**2.
-2*m**2*(m - 1)*(m + 1)**2/3
Let j(d) = -d**3 - d**2 - 1. Let x(k) = -k**3 + 3*k**2 - 2*k - 9. Let z(t) = -3*j(t) + x(t). Factor z(y).
2*(y - 1)*(y + 1)*(y + 3)
Let o(y) be the first derivative of -2/3*y**3 + 1 + 4*y + y**2. Factor o(l).
-2*(l - 2)*(l + 1)
Let p(a) be the first derivative of a**7/14 + a**6/5 + 3*a**5/20 + 5*a - 1. Let x(g) be the first derivative of p(g). Determine i so that x(i) = 0.
-1, 0
Let o be -5 + 5/15*(-1 + 16). Factor o + 2/5*w**2 - 4/5*w.
2*w*(w - 2)/5
Let l = 42 + -39. Find b such that 0*b - 2/3*b**5 - 8/3*b**4 - 8/3*b**l + 0 + 0*b**2 = 0.
-2, 0
Let f(h) = h**3 + 8*h**2 - 3*h + 3. Let g be f(-8). Let o = g - 19. Find z such that -o*z - 8*z**2 + 6*z**2 - 3 - 5 = 0.
-2
Let x be ((-64)/(-126) + 32/(-144))*7. Factor -1/5 - 6/5*b**x - 1/5*b**4 + 4/5*b**3 + 4/5*b.
-(b - 1)**4/5
Suppose 8/5 - 16/5*p + 6/5*p**2 = 0. Calculate p.
2/3, 2
Suppose 4*v - 3*u = -0*u + 14, -5*v + 4*u + 18 = 0. Solve 0*t + 1/2*t**5 - 3/2*t**4 + 3/2*t**3 - 1/2*t**v + 0 = 0.
0, 1
Let v(l) = l**2 - 2*l + 2. Let a(t) = 2*t - 2. Let q(m) = -5*a