 + 5*z**2 + 3*z**o.
3*z*(z - 1)
Let x(q) be the third derivative of q**9/272160 + q**8/90720 - q**7/11340 - 3*q**5/20 + 9*q**2. Let w(y) be the third derivative of x(y). Solve w(a) = 0 for a.
-2, 0, 1
Let b(o) be the second derivative of o**4/90 + 13*o**3/45 + 7*o. Solve b(m) = 0.
-13, 0
Let k(v) be the second derivative of -v**7/1890 + v**6/540 - v**4/108 + v**3/54 - 5*v**2/2 - 25*v. Let s(w) be the first derivative of k(w). Factor s(d).
-(d - 1)**3*(d + 1)/9
Factor -4*r**4 + 11*r**2 - 72*r + 32*r**3 - 23*r**2 - 25*r**2 + r**2.
-4*r*(r - 6)*(r - 3)*(r + 1)
Let o(v) be the first derivative of -2*v**6/15 - v**5 - 7*v**4/3 - 2*v**3 - 16*v + 33. Let a(u) be the first derivative of o(u). Determine h so that a(h) = 0.
-3, -1, 0
Let i(y) = -y**4 - y**3 - 2*y**2. Let q(j) = 5*j**4 + 17*j**3 + 4*j**2 - 4*j. Let p(t) = -6*i(t) + 3*q(t). Factor p(u).
3*u*(u + 1)*(u + 2)*(7*u - 2)
Let z(o) be the first derivative of 8*o**5/5 - 8*o**4 + 14*o**3 - 9*o**2 - 175. Factor z(h).
2*h*(h - 1)*(2*h - 3)**2
Suppose 4*l - 265 = 5*x, 185 = 3*l - 2*x + x. Let q = l - 176/3. Determine p so that 2*p**2 + q - 10/3*p = 0.
2/3, 1
Let d(n) = 11*n**2 + 6*n - 5. Let x be d(4). Let y be x/52 + 2/8. Let -21*f - 64*f**2 - 14*f**2 + 30*f**y - 8*f**3 - 8 - 27*f + 0*f**3 = 0. What is f?
-1, -2/5, -1/3, 2
Let w(v) be the second derivative of 8*v**6/15 - 2*v**5/3 - 11*v**4/12 + 19*v**3/18 + v**2 + 23*v + 2. Let w(a) = 0. What is a?
-2/3, -1/4, 3/4, 1
Suppose -3*s + s - 4*t = 0, -3 = 3*t. Suppose 0 = k + v, -2*k = -k + s*v. Factor 3/5*l**2 - 4/5 + 1/5*l**3 + k*l.
(l - 1)*(l + 2)**2/5
Determine o so that 722/3 + 2/3*o**2 + 76/3*o = 0.
-19
Let k be (2 + (-15)/9)/3*64/4. Let 4/9*h - k*h**4 + 0 + 4/9*h**5 - 16/9*h**2 + 8/3*h**3 = 0. Calculate h.
0, 1
Let h be ((-84)/10 - (-1635)/(-436))/((-3)/24). Let 108/5*p + h + 6/5*p**2 = 0. Calculate p.
-9
Let d(k) be the first derivative of k**4/2 - 14*k**3 + 99*k**2 + 242*k - 490. Suppose d(c) = 0. Calculate c.
-1, 11
Let p = 49 - -20. Suppose p*a - 71*a = -10. Determine h so that 8*h + 32*h**2 + 0 + 44*h**3 + 9/2*h**a + 24*h**4 = 0.
-2, -2/3, 0
Find y such that -1/4 - 3/4*y**2 + 1/4*y**3 + 3/4*y = 0.
1
Let w(h) = 2*h**2 + 15*h + 30. Let y be w(-5). Let c(p) be the first derivative of p**2 - 2/5*p**y + 2/3*p**3 - 1/2*p**4 + 2 + 0*p. Solve c(s) = 0.
-1, 0, 1
Let j(k) = -k**3 - 13*k**2 - 11*k + 16. Let s be j(-12). Factor 64*c**3 - 3*c**2 + s*c - 20*c**2 - 9*c**2.
4*c*(4*c - 1)**2
Let m(k) = -4*k**3 - 4*k**2 + 4. Suppose -2*h = -v - 7, -h + 0*v = -4*v - 21. Let w(y) = y**2 + y - 1. Let p(n) = h*m(n) + 4*w(n). Solve p(f) = 0 for f.
-1, 0, 1
Let k(n) = -6*n**2 + 17*n - 5. Let a(b) = 2*b**2 - 8*b + 2. Let y(r) = 5*a(r) + 2*k(r). Let y(x) = 0. Calculate x.
-3, 0
Let t(r) be the second derivative of -r**4/42 - 20*r**3/21 - 19*r**2/7 - 76*r. Solve t(h) = 0 for h.
-19, -1
Suppose -5*b = -6*b + 3. Suppose b*y - 4*u = -2, -2*y + u = 2*u - 6. Factor -131*d + 131*d + d**y + 2*d**3.
d**2*(2*d + 1)
Let z(m) be the first derivative of -4/3*m**2 + 0*m - 46 - 20/3*m**3 - 13/3*m**4. Factor z(p).
-4*p*(p + 1)*(13*p + 2)/3
Let g = 8004 + -8001. Solve 2/7*o**2 + 6/7 + 2/7*o**g - 10/7*o = 0.
-3, 1
Let z(j) be the third derivative of j**6/540 + j**5/135 - 73*j**4/108 + 70*j**3/27 + j**2 - 193. Determine n so that z(n) = 0.
-10, 1, 7
Let i(j) be the third derivative of 0*j**3 + 0 + 0*j - 2/15*j**6 - 1/3*j**4 - 3/5*j**5 + 4*j**2. Find m such that i(m) = 0.
-2, -1/4, 0
Let q be 8/(-6) - 64/(-44). Let t(x) be the second derivative of 2/33*x**4 - q*x**3 - 1/110*x**5 + 0*x**2 + 0 - 3*x. Factor t(h).
-2*h*(h - 2)**2/11
Suppose -2*z = -5*a + 8 + 2, 0 = 3*z. What is p in 60*p**2 + 468 - 2*p**a - 300*p - 4*p**3 + 32 + 2*p**2 = 0?
5
Let s = 101 - 73. Let w = -474/17 + s. Solve w*b**5 + 0*b + 0 + 0*b**4 - 2/17*b**3 + 0*b**2 = 0.
-1, 0, 1
Determine d so that -43923/4 - 3/4*d**2 - 363/2*d = 0.
-121
Let a(f) = -2*f + 33. Let r be a(-10). Suppose r*c = 58*c - 15. Solve 6/5*n**2 - 1/5*n**c + 0 - 9/5*n = 0.
0, 3
Let h(u) be the third derivative of -5/9*u**3 - 5*u**2 - 1/315*u**7 + 0 - 2/45*u**6 + 0*u - 1/5*u**5 - 4/9*u**4. Suppose h(m) = 0. What is m?
-5, -1
Factor 54/5*p + 2/15*p**3 - 12/5*p**2 - 72/5.
2*(p - 12)*(p - 3)**2/15
Let i be (-1909)/(-249)*(-6)/(-92). Factor i*j**2 - 7/2*j - 4.
(j - 8)*(j + 1)/2
Suppose -16 = -4*d - 0*d. Let c(f) be the third derivative of 1/42*f**d - f**2 + 1/210*f**5 + 0 + 0*f - 1/7*f**3. Solve c(h) = 0 for h.
-3, 1
Let c(z) = -z**3 + z**2 - z + 1. Let s(p) = -12*p**3 + 57*p**2 - 142*p + 97. Let o(f) = -7*c(f) + s(f). Factor o(h).
-5*(h - 6)*(h - 3)*(h - 1)
Let k be (-3 + 4)/(5/170). Find b, given that -k*b**4 + 0*b + 0*b + b**2 + 33*b**4 = 0.
-1, 0, 1
Let i = -578 - -863. Let h = -1416/5 + i. Factor 9/5*z**2 - 3/5*z + 3/5*z**4 + 0 - h*z**3.
3*z*(z - 1)**3/5
Let m be (4/6)/(35200/660). Let h(r) be the second derivative of -8*r**2 - m*r**5 + 2*r - 1/4*r**4 + 0 - 2*r**3. Factor h(p).
-(p + 4)**3/4
Let s(n) be the first derivative of -6 - 1/5*n**5 + 0*n**3 + 0*n**2 - 3/4*n**4 + 0*n. Solve s(b) = 0.
-3, 0
Suppose 5*i + 14 = 4*w + 3*i, -w + 5*i - 1 = 0. Suppose 8*k + w*n - 36 = 3*k, 2*n - 8 = 0. Factor t**2 + 3*t**4 - k*t**2 - 3*t**3 + 3*t + 0*t**4.
3*t*(t - 1)**2*(t + 1)
Let y(h) = 9*h**2 - 66*h - 69. Let q(r) = -2*r**2 - r - 1. Let o(j) = 3*q(j) + y(j). Suppose o(b) = 0. Calculate b.
-1, 24
Let f = 1/39369 - -91859/78738. Factor 1/6 + 5/3*v**2 - 3*v**3 - 9/2*v**4 + f*v + 9/2*v**5.
(v - 1)**2*(3*v + 1)**3/6
Suppose 111 - 45 = -3*o. Let h be 0 + 1/(-6) + o/(-60). Factor -3/5*c**2 + 0 - h*c.
-c*(3*c + 1)/5
Suppose 5/3*z**2 - 5/3*z**3 + 0 + 0*z = 0. Calculate z.
0, 1
Let j(d) be the second derivative of 11*d + 1/18*d**4 + 1/9*d**3 + 0*d**2 + 0. Solve j(v) = 0 for v.
-1, 0
Let f(o) be the first derivative of -o**4/4 - 7*o**3/3 - 15*o**2/2 - 9*o + 113. Determine b, given that f(b) = 0.
-3, -1
Determine p so that -15125 + 298*p - 5*p**2 + 2*p + 250*p = 0.
55
Let v = 22619/66 + -1028/3. Let x(q) be the first derivative of 2/33*q**3 - 1/33*q**6 + 0*q + 0*q**2 + v*q**4 - 2/55*q**5 + 1. Suppose x(j) = 0. Calculate j.
-1, 0, 1
Let f(c) = 6*c**2 + 2*c. Let w be f(-2). Let t be (-6)/(-21) - w/(-28). Solve -4 - t + 12*m - 1 - 3*m - 3*m**2 = 0.
1, 2
Let i be ((-200)/150)/(8/(-30)). Let w(j) be the third derivative of 0*j - 1/180*j**i + 1/72*j**4 - 5*j**2 + 0*j**3 + 0. Factor w(c).
-c*(c - 1)/3
Let h = 18734 + -74861/4. Factor 27*x - 45/2*x**2 - 6 - h*x**3.
-3*(x + 2)*(5*x - 2)**2/4
Find z, given that -6*z + 7/2*z**3 + 4*z**2 + 0 - z**4 - 1/2*z**5 = 0.
-3, -2, 0, 1, 2
Let t(d) be the third derivative of d**7/21 - 9*d**6/20 + d**5 - 2*d**4/3 + 258*d**2. Factor t(m).
2*m*(m - 4)*(m - 1)*(5*m - 2)
What is l in 756/5*l**4 + 108/5*l**5 + 1616/5*l**2 + 1656/5*l**3 + 128/5 + 736/5*l = 0?
-4, -1, -2/3
Let t = -38 - -67. Let b = 1 + t. Factor 3*v**3 + 3*v**2 + 17 - 6*v + 13 - b.
3*v*(v - 1)*(v + 2)
Factor -48*i**2 + 336*i**3 - 677*i**3 + 52*i + 337*i**3.
-4*i*(i - 1)*(i + 13)
Let s(q) be the first derivative of -5*q**4/16 + 15*q**3/2 - 75*q**2/2 + 70*q - 447. Factor s(p).
-5*(p - 14)*(p - 2)**2/4
Suppose -j - 3 - 3 = 5*f, 8 = -4*f. Factor -4*h**4 - 24*h**2 - 6*h + 15*h + 3*h + h**j + 15*h**3.
-3*h*(h - 2)**2*(h - 1)
Let g be -2 - ((-1)/(40/12885))/129. Let n = 1/344 + g. Factor n*w**2 + 1/2*w + 0.
w*(w + 1)/2
Let r(z) be the third derivative of -z**9/4032 - z**8/560 - z**7/280 + 2*z**3/3 + 8*z**2. Let f(g) be the first derivative of r(g). Let f(k) = 0. What is k?
-2, 0
Let v(x) = -5*x - 22. Let s be v(-5). Suppose -14 + 26 = s*h. Factor 0 + 2/3*z**3 - 2/3*z + 2/3*z**h - 2/3*z**2.
2*z*(z - 1)*(z + 1)**2/3
Let u(f) = -f**3 + 6*f**2 - 3*f - 6. Let d be u(5). Suppose -d*q + 9 = -3. Let 3*z + 7*z + 2*z - 3*z**2 + 14 - 2 - q*z**3 = 0. What is z?
-2, -1, 2
Let w(j) be the first derivative of -43*j**3/7 + 390*j**2/7 - 36*j/7 - 276. Factor w(n).
-3*(n - 6)*(43*n - 2)/7
Let j(v) be the second derivative of -v**6/75 + 6*v**5/25 - 3*v**4/5 - 28*v**3/3 + 147*v**2/5 + v + 33. Solve j(t) = 0.
-3, 1, 7
Solve 312*p + 296*p**2 - 20*p**3 + 158*p**2 - 26*p**2 + 16*p**3 + 120*p = 0.
-1, 0, 108
Let a(r) = -r**3 - 14*r**2 - 20*r + 7. Let y(c) = -c + 1. Let g(z) = -2*a(z) + 14*y(z). Find l, given that g(l) = 0.
-13, -1, 0
Let j be -1*0/((-4)/(-4)). Suppose 8 = -j*d + 2*d. Factor 0*n**3 - 7*n - 4*n**3 - 2*n