) be the third derivative of f**6/320 - 11*f**5/160 - f**4/64 + 11*f**3/16 + 546*f**2. Solve x(v) = 0.
-1, 1, 11
Let i(o) be the first derivative of o**3/9 - 7*o**2/6 - 6*o - 52. Find h, given that i(h) = 0.
-2, 9
Let m(t) be the first derivative of t**3/27 + 119*t**2/9 + 14161*t/9 + 18. Factor m(z).
(z + 119)**2/9
Let m(t) = 10*t + 72. Let j be m(-7). Let y be (j - (-20)/(-9))*30/(-5). Determine z, given that 0 - y*z**2 + 0*z = 0.
0
Let w = 2458/3 + -818. Let r = 319/6 + -101/2. What is j in 26/3*j + w - 6*j**5 + 12*j**2 - r*j**3 - 40/3*j**4 = 0?
-1, -2/9, 1
Let f(s) be the first derivative of -s**5/20 + 3*s**4/8 + 2*s**3 + 9*s**2/2 - 2. Let a(r) be the second derivative of f(r). Factor a(h).
-3*(h - 4)*(h + 1)
Let j(z) be the third derivative of -z**6/180 - z**5/60 - z**3 + 8*z**2. Let g(t) be the first derivative of j(t). Factor g(p).
-2*p*(p + 1)
What is u in -11/2 + 1/4*u**2 - 9/4*u = 0?
-2, 11
Let u(i) be the first derivative of -i**6/280 + i**5/28 - i**4/7 + 2*i**3/7 + 23*i**2/2 - 3. Let f(m) be the second derivative of u(m). Solve f(a) = 0.
1, 2
Let v = -2521 - -2525. Solve a**v + 0*a**3 - a**2 - 1/2*a**5 + 0 + 1/2*a = 0 for a.
-1, 0, 1
Let u(l) be the first derivative of -l**4/32 - 11*l**3/24 - 5*l**2/8 - 93. Suppose u(m) = 0. What is m?
-10, -1, 0
Let t be (-42)/9*210/(-245). Let 1/2*x**3 + 1/4*x**5 + 0 + 0*x**2 + 0*x + 3/4*x**t = 0. What is x?
-2, -1, 0
Let f(q) be the first derivative of 3/2*q**2 - 1/90*q**5 + 0*q + 2/9*q**4 - 16/9*q**3 + 6. Let o(g) be the second derivative of f(g). Factor o(p).
-2*(p - 4)**2/3
Let m be 2/(-7) - (-4 - (-207)/(-63)). Let n be (-12)/(-24) + -1 + m/10. Find t, given that 4/5*t**2 + 4/5*t**4 + 6/5*t**3 + 0 + 1/5*t**5 + n*t = 0.
-1, 0
Suppose o - 8 = -5*q, 2*q + 14 = o + 20. Factor 0 + 3/2*s**q + 3*s.
3*s*(s + 2)/2
Let h(o) = 9*o**3 + 23*o**2 - 47*o - 7. Let q(y) = 7*y**3 + 24*y**2 - 46*y - 6. Let s(t) = 6*h(t) - 7*q(t). Factor s(g).
5*g*(g - 4)*(g - 2)
Let 24/13 - 16/13*j + 2/13*j**2 = 0. Calculate j.
2, 6
Let x be (15*(-40)/(-6300))/(1/12). Determine z so that 0*z**4 + 0*z + 0 + 2/7*z**5 + 0*z**2 - x*z**3 = 0.
-2, 0, 2
Determine a so that 0*a + 0*a - a**2 + 3*a - 7*a**2 + 7*a**2 + 18 = 0.
-3, 6
Let x = 1108 - 4429/4. Factor 6 - 3/2*q - x*q**2.
-3*(q - 2)*(q + 4)/4
Let z(r) be the third derivative of 4*r**2 + 1/45*r**6 - 1/72*r**4 - 1/72*r**5 - 1/140*r**7 + 0*r + 0*r**3 + 0. Find t such that z(t) = 0.
-2/9, 0, 1
Let u(f) = -3*f + 3. Let l be u(0). Solve -12*g - 48*g**l - 36*g**2 - 42 - 20*g**4 + 42 + 4*g = 0 for g.
-1, -2/5, 0
Let g(i) be the first derivative of -i**6/12 + i**5/12 + 5*i**4/8 - 5*i**2 + 5. Let z(w) be the second derivative of g(w). Solve z(p) = 0.
-1, 0, 3/2
Let d = 104 - 74. What is j in -16*j**2 - d*j**3 + 21*j**2 - 5*j - 5*j**5 - 25*j**2 - 20*j**4 = 0?
-1, 0
Let m(o) be the second derivative of o**8/420 - 4*o**6/45 + 8*o**4/3 + 5*o**3/3 - 2*o. Let q(n) be the second derivative of m(n). Suppose q(r) = 0. Calculate r.
-2, 2
Suppose -15*q + 4274 = 4274. Solve 0*x**2 + q*x + 2/11*x**3 + 3/11*x**4 + 1/11*x**5 + 0 = 0 for x.
-2, -1, 0
Suppose 3*n = -0*n + 84. Find i such that -2 + 26*i**2 + n*i**3 + 38*i**2 + 44*i + 15 - 5 = 0.
-1, -2/7
Let p(c) be the third derivative of -c**5/30 - 19*c**4/12 - 26*c**3 + 16*c**2. Suppose p(f) = 0. What is f?
-13, -6
Let r(o) be the second derivative of -o**7/168 - o**6/72 + o**5/24 + 5*o**4/24 - o**3/2 + 12*o. Let v(s) be the second derivative of r(s). Factor v(t).
-5*(t - 1)*(t + 1)**2
Let r(p) = 3*p + 10*p**3 - 2*p - p**2 - p**5 - 9*p**3. Let d(m) = -8*m**5 + 4*m**4 + 8*m**3 - 16*m**2 + 12*m. Let a(s) = d(s) - 12*r(s). Factor a(y).
4*y**2*(y - 1)*(y + 1)**2
Suppose 14*g = 12*g - 2*v, -2*v = g + 4. Let d(p) be the second derivative of 0 + 0*p**2 - 1/6*p**4 - g*p + 2/3*p**3. Find z, given that d(z) = 0.
0, 2
Suppose 441*x - 708 - 94 - 80 = 0. Factor -4/3*s**x + 0*s**3 - 4/9*s + 16/9*s**4 + 0.
4*s*(s - 1)*(2*s + 1)**2/9
Find b, given that 18/5 - 6/5*b + 2/15*b**3 - 2/5*b**2 = 0.
-3, 3
Let -43*q**2 + 15*q**2 + 24*q**2 + 76 + 72*q = 0. What is q?
-1, 19
Let w(n) = -8*n**2 - 7*n - 8. Let d(v) = 2 + 7*v**2 + v + 4 + 1 + 7*v. Let l(a) = 3*d(a) + 2*w(a). Let l(o) = 0. What is o?
-1
Let o(a) = 3*a**2 - 6*a + 3. Let g be o(2). Let z = -8599/5 + 1720. Factor 2/5 - 3/5*c**2 + 1/5*c**4 + z*c**g - 1/5*c.
(c - 1)**2*(c + 1)*(c + 2)/5
Let i(p) be the third derivative of p**6/24 - p**5/3 - 145*p**4/24 - 20*p**3 - 41*p**2. Suppose i(j) = 0. Calculate j.
-3, -1, 8
Let c = -12 + 14. Factor 2*s**3 - c*s**5 - 4*s**5 + 3*s**5 + 5*s**4.
-s**3*(s - 2)*(3*s + 1)
Suppose -8*l + 7*l = -4. Find d such that l - 1 - 2*d**2 - 3*d - 3*d - 7 = 0.
-2, -1
Let j = -4898 - -73502/15. Let f(s) be the first derivative of 8/3*s + 2 + j*s**5 + 12*s**2 + 12*s**4 + 194/9*s**3. Factor f(p).
2*(p + 2)**2*(4*p + 1)**2/3
Suppose 0 = -5*c - 9 + 49. Suppose -22 + c*l**2 + l**3 + 14 - 4*l + 3*l**3 = 0. What is l?
-2, -1, 1
Suppose 16*s - 17*s = -3*g - 1, 4*s = -3*g + 4. Solve -2/3*x**3 + g*x - 2/3*x**2 + 0 = 0.
-1, 0
Let y(j) be the second derivative of 0 - 14*j**2 + 6*j - 1/2*j**4 - 23/3*j**3. Determine q so that y(q) = 0.
-7, -2/3
Let m(k) = -4*k**2 - 35*k + 39. Let q(z) = 3*z**2 + 36*z - 39. Let i(x) = 2*m(x) + 3*q(x). Factor i(v).
(v - 1)*(v + 39)
Solve 0*r - 6/7*r**4 + 0 + 20/7*r**3 - 2/7*r**5 + 0*r**2 = 0.
-5, 0, 2
Determine j so that 34/3*j**4 + 50/3*j**2 - 38/3*j - 28/3*j**5 + 46*j**3 - 4 = 0.
-1, -2/7, 1/2, 3
Let z = -30 + 34. Find t such that -z*t - 3*t**2 - 12*t**2 - 5*t**3 - 9*t**3 - 4*t**4 + t**2 = 0.
-2, -1, -1/2, 0
Let d(u) = -60*u + 962. Let z be d(16). Factor -10/3*s - 1/6*s**z - 50/3.
-(s + 10)**2/6
Let n be 3*1 + (-781)/110 + 3. Let w = 53/30 + n. Factor x - w + 0*x**2 - 1/3*x**3.
-(x - 1)**2*(x + 2)/3
Let p = 1767 - 1762. Let x(q) be the second derivative of 0 + 9/100*q**p + 7/10*q**3 - 3/5*q**2 - 2/5*q**4 + 8*q. Factor x(j).
3*(j - 1)**2*(3*j - 2)/5
Suppose 2 = 24*q - 23*q. Let h = -10 + 18. Find p such that -h - 2*p**2 - p**2 + 5*p**2 + 2*p**q + 4*p = 0.
-2, 1
Suppose 110/3*r - 1/3*r**2 - 3025/3 = 0. What is r?
55
Let p = 26 - 24. Let v(m) = m**3 + 4*m**2 + 4*m + 2. Let l be v(-2). Suppose -5*j + 7*j**2 - l + 4*j - 2*j - p*j = 0. What is j?
-2/7, 1
Let v(l) be the third derivative of 0 + 0*l + 0*l**3 + 1/14*l**7 + 5/336*l**8 + 1/8*l**6 - 3*l**2 + 1/12*l**5 + 0*l**4. Factor v(j).
5*j**2*(j + 1)**3
Let n = 400 + -395. Let d(t) be the first derivative of 3*t**3 - 11*t**2/2 - 4*t + 1. Let o(p) = 8*p**2 - 10*p - 3. Let j(l) = n*d(l) - 6*o(l). Factor j(a).
-(a - 1)*(3*a - 2)
Factor 2/9 - 2/9*b**3 + 2/3*b**2 - 2/3*b.
-2*(b - 1)**3/9
Let y(o) be the second derivative of 0 + 27*o + 0*o**2 + 1/3*o**3 - 2/15*o**4 - 1/50*o**5. Factor y(j).
-2*j*(j - 1)*(j + 5)/5
Solve -18*k**2 - 21*k**2 + 16 - 8*k + 68*k**2 - 28*k**2 = 0 for k.
4
Suppose -745*f = -675*f. Solve f + 0*o - 1/3*o**2 = 0.
0
Let q(t) be the second derivative of t**8/1344 - t**7/420 + 14*t**2 + 19*t. Let z(w) be the first derivative of q(w). Let z(f) = 0. Calculate f.
0, 2
Suppose -81 - 3 = -21*f. Let g(t) be the third derivative of 1/18*t**3 + 6*t**2 + 0*t + 1/180*t**5 - 1/36*t**f + 0. Solve g(d) = 0 for d.
1
Let b be (-18 - 30/(-3))/(-12). Suppose 0 - 2/9*f - 2/9*f**4 - b*f**3 - 2/3*f**2 = 0. What is f?
-1, 0
Let s = 4/11 + -17/77. Let w = 2651 + -2648. Factor -s*x - 3/7*x**w + 0 + 1/7*x**4 + 3/7*x**2.
x*(x - 1)**3/7
Let k(w) be the first derivative of w**6/27 - 2*w**5/45 - w**4/3 - 4*w**3/27 + 5*w**2/9 + 2*w/3 + 198. Factor k(x).
2*(x - 3)*(x - 1)*(x + 1)**3/9
Let a(x) be the first derivative of x**3/24 + 3*x**2/8 + 5*x/8 - 100. Solve a(b) = 0 for b.
-5, -1
Let j(b) be the second derivative of 0 - 1/70*b**5 + 0*b**2 - 1/12*b**4 + b - 1/14*b**3. Find l, given that j(l) = 0.
-3, -1/2, 0
Let z(p) be the third derivative of -p**9/3024 - p**8/336 - 5*p**7/504 - p**6/72 - 5*p**4/24 + p**2. Let s(f) be the second derivative of z(f). Factor s(d).
-5*d*(d + 1)**2*(d + 2)
Let z(k) be the third derivative of 1/735*k**7 - 1/14*k**5 + 17/84*k**4 - 2/7*k**3 + 0 + 0*k + 1/140*k**6 + 7*k**2. Let z(v) = 0. What is v?
-6, 1
Suppose -4*v + 14 = -3*t, 3*v - 3*t + t - 11 = 0. Suppose -2*k + v = 3*n - 13, -4*k + 28 = 4*n. Factor -1/2*d**2 - 1/2*d + d**k + 0.
d*(d - 1)*(2*d + 1)/2
Solve -7/4*z**2 + 5/2*z + 1/4*z**3 + 0 = 0.
0, 2, 5
Let w(c) = c + 1