59/14)*4*-2. Let z = a + 180. Solve 6/7*k**2 + z + 10/7*k**3 - 18/7*k + 2/7*k**4 = 0.
-3, 0, 1
Let u(a) = -8*a**2 - 6*a. Let g = 11 - 6. Let d(c) be the second derivative of -c**4/12 + 3*c. Let h(f) = g*d(f) - u(f). Factor h(b).
3*b*(b + 2)
Let x(o) = 9*o**2 + 10*o - 44. Let g(v) = 125*v**2 + 140*v - 615. Let s(q) = 4*g(q) - 55*x(q). Let s(c) = 0. Calculate c.
-4, 2
Let w(a) be the second derivative of -2/5*a**5 + 1/2*a**4 - 4*a**2 - 9*a + 0 + 4/3*a**3 + 1/15*a**6. Let w(t) = 0. What is t?
-1, 1, 2
Factor -2/21*r**3 - 4/7*r**2 - 22/21*r - 4/7.
-2*(r + 1)*(r + 2)*(r + 3)/21
Let f(u) be the second derivative of 0 - 13/4*u**4 - 33/20*u**5 - 3*u + 6*u**2 + 10*u**3. Factor f(p).
-3*(p - 1)*(p + 2)*(11*p + 2)
Factor 0*b**2 - 64/11*b**3 + 0 + 0*b + 2/11*b**5 - 8/11*b**4.
2*b**3*(b - 8)*(b + 4)/11
Let m(g) = 26*g**3 - 32*g**2 + 6*g - 14. Let x(k) = -9*k**3 + 11*k**2 - 2*k + 5. Let c = -3 + -13. Let h = c - -2. Let r(j) = h*x(j) - 5*m(j). Factor r(d).
-2*d*(d - 1)*(2*d - 1)
Let n(g) be the third derivative of -1/18*g**3 + 1/12*g**4 - 2/45*g**5 + 0 - 2*g**2 + 0*g. Find c such that n(c) = 0.
1/4, 1/2
Let o(k) be the first derivative of k**6/33 + 58*k**5/55 + 193*k**4/22 - 190*k**3/11 - 450*k**2/11 + 20. Solve o(w) = 0 for w.
-15, -1, 0, 2
Let w(u) = u**3 - 19*u**2 + 4. Let i be w(19). Let y(p) be the second derivative of 2/3*p**i + 5*p + 0 - 2*p**2 - 5/3*p**3 + 3/10*p**5. Factor y(n).
2*(n - 1)*(n + 2)*(3*n + 1)
Let u(f) be the second derivative of 2/3*f**6 + 0 + 17*f + 0*f**3 - 5/42*f**7 + 0*f**2 + 5/6*f**4 - 5/4*f**5. Factor u(g).
-5*g**2*(g - 2)*(g - 1)**2
Suppose 0 = 3*x + 39 - 102. Let -x*j - 12 - 3*j**2 + 6*j + 0*j**2 = 0. What is j?
-4, -1
Let g be 1/4 - 598/(-40). Suppose 5*k - 2*t + 0*t = 46, 8 = 4*t. Factor 2/5*z**5 + 56/5*z - g*z**2 - 16/5*z**4 + k*z**3 - 16/5.
2*(z - 2)**3*(z - 1)**2/5
Let z(i) = -2*i**5 - 2*i**4 - i**3 - 5*i**2 + 3*i. Let l(v) = v**5 + v**4 + v**3 + 3*v**2 - 2*v. Let f(y) = 7*l(y) + 4*z(y). Suppose f(m) = 0. What is m?
-2, -1, 0, 1
Suppose 53*x**3 + 3*x**4 + 2*x**4 + 105*x**2 - 7*x**3 - 294*x + 14*x**3 - 196*x = 0. Calculate x.
-7, 0, 2
Let p(b) be the first derivative of -2*b**3 - 2*b - 1/2*b**4 - 3*b**2 + 27. Factor p(k).
-2*(k + 1)**3
Let d(j) be the third derivative of -6*j**2 + 0 + 1/24*j**3 - 1/24*j**4 + 0*j + 1/80*j**5. Factor d(c).
(c - 1)*(3*c - 1)/4
Let p(k) = -3*k**2 + 4*k + 7. Let w(v) = 3 + 0 - v**2 + 2*v + 0. Suppose -2*h - 10 = -h. Let f(j) = h*w(j) + 4*p(j). Factor f(g).
-2*(g + 1)**2
Let u(y) be the second derivative of y**6/10 - 6*y**5/5 + 17*y**4/4 - 5*y**3 + 2*y + 5. Suppose u(t) = 0. Calculate t.
0, 1, 2, 5
Let z(b) be the second derivative of b**6/10 - 13*b**5/15 + 13*b**4/6 - 2*b**3 - 23*b**2 + 8*b - 1. Let i(x) be the first derivative of z(x). Factor i(j).
4*(j - 3)*(j - 1)*(3*j - 1)
Let m(c) be the third derivative of -c**5/300 - c**4/8 - 6*c**3/5 - 3*c**2 + 7. Solve m(b) = 0.
-12, -3
Let b(z) be the second derivative of z**4/120 + 19*z**3/20 - 59*z**2/10 + 60*z + 2. Factor b(y).
(y - 2)*(y + 59)/10
Let y(b) be the second derivative of b**5/40 - b**4/8 + b**3/6 + 39*b - 1. Determine i so that y(i) = 0.
0, 1, 2
Suppose 0 = -0*y - 2*y + 22. Factor 10*x - y*x**2 + 13*x**2 - 6*x.
2*x*(x + 2)
Let v = 38 + -20. Let f be 10/6 - (-6)/v. Determine z so that -2 + 2*z**f - 14*z + 4 + 16 + 2*z = 0.
3
Suppose 19*b = 564 - 507. Find f, given that 3/4*f**2 - 1/8*f**b + 0 - 1/8*f - 2*f**5 - 3*f**4 = 0.
-1, 0, 1/4
Let s(h) = h**3 - 6*h**2 + 2*h. Let m be s(6). Suppose -7*o + 5*o + m*o = 0. Factor -4/7*g**4 + 4/7*g**3 + 4/7*g**2 + o*g + 0 - 4/7*g**5.
-4*g**2*(g - 1)*(g + 1)**2/7
Let m(c) be the first derivative of -2*c**3/9 - 5*c**2 - 52*c/3 - 47. Factor m(d).
-2*(d + 2)*(d + 13)/3
Let p = -16 - -16. Suppose 3*h - 9 = -3. Factor -v**4 - 20*v + 4*v**3 - 6*v**h + 1 + 24*v + p*v**3 - 2.
-(v - 1)**4
Solve -319*k**2 - 12*k**3 - 327*k**2 + 638*k**2 = 0 for k.
-2/3, 0
Suppose 2*u = 3*u - 4. Determine x so that 0*x**3 + 3*x**2 - 6*x**3 - 2*x**5 - 6*x**u - 5*x**2 = 0.
-1, 0
Suppose 1/2*d + 0 + 0*d**3 + 3/4*d**2 - 1/4*d**4 = 0. What is d?
-1, 0, 2
Let r(q) be the third derivative of 0*q + 0 - 3/10*q**3 + 7/40*q**4 - 1/50*q**5 - 44*q**2. Factor r(k).
-3*(k - 3)*(2*k - 1)/5
Let d(t) be the first derivative of -2*t**5/55 + t**4/11 + 2*t**3/33 - 2*t**2/11 - 6. What is m in d(m) = 0?
-1, 0, 1, 2
Let y(b) be the third derivative of 0 - 49/180*b**6 + 0*b**5 + 0*b**3 - 2/45*b**7 - 1/504*b**8 - 47*b**2 + 0*b**4 + 0*b. Factor y(o).
-2*o**3*(o + 7)**2/3
Factor 16*f**3 - 12*f**3 - 135*f**2 - 370*f - 240 - 4*f**3 - 5*f**3.
-5*(f + 1)*(f + 2)*(f + 24)
Factor -6*i - 45/7 + 3/7*i**2.
3*(i - 15)*(i + 1)/7
Solve 165/8*n + 159/8*n**2 + 3/4 = 0.
-1, -2/53
Let k(c) be the second derivative of -c**6/30 + c**5/10 + 3*c**4/4 - 3*c**3 + 140*c. Suppose k(w) = 0. What is w?
-3, 0, 2, 3
Let c = -3/1792 - -168487/23296. Let h = -580/91 + c. Suppose -3/7*a + 3/7*a**5 - h*a**2 + 0*a**3 + 0 + 6/7*a**4 = 0. What is a?
-1, 0, 1
Let k be 60/84*(-105)/(-20). Let h(b) be the first derivative of -7 + 5*b**3 + b**5 + k*b**4 + 0*b + 5/2*b**2. Factor h(n).
5*n*(n + 1)**3
Let c(y) = y**2 + y - 56. Let b be c(-8). Let g(s) be the third derivative of 1/24*s**4 + 0*s + b + 1/60*s**5 + 0*s**3 - 4*s**2. Suppose g(f) = 0. Calculate f.
-1, 0
Let t(c) be the second derivative of c**4/32 - 191*c. Find g such that t(g) = 0.
0
Let h(r) be the first derivative of -r**4/10 - 8*r**3/3 - 117*r**2/5 - 324*r/5 + 172. Factor h(p).
-2*(p + 2)*(p + 9)**2/5
Suppose 4/7*n**3 - 20/7*n**2 - 16/7 + 32/7*n = 0. What is n?
1, 2
Let u(t) be the first derivative of -3*t**5/5 - 9*t**4/4 + 3*t**3 + 21*t**2/2 - 18*t + 27. Solve u(s) = 0 for s.
-3, -2, 1
Let x(s) be the third derivative of s**6/60 - s**5/60 - 5*s**3/3 + 4*s**2. Let p(j) be the first derivative of x(j). Factor p(c).
2*c*(3*c - 1)
Suppose -97 = -4*u - o, 0*o = -5*u + 5*o + 115. Let j be 32/u*(-6)/(-4). Factor 17*i + 19 + 3*i**j - 5 + i + 13.
3*(i + 3)**2
Let f = -62 + 314/5. Let x be (2/3)/(85/204). Factor -x*o - f*o**2 + 0 + 4/5*o**4 + 8/5*o**3.
4*o*(o - 1)*(o + 1)*(o + 2)/5
Let u(t) = 18*t**2 - 273*t + 288. Let d be 8/((-80)/(-22)) - 2/10. Let f(g) = g**2 - 17*g + 18. Let l(k) = d*u(k) - 33*f(k). Let l(h) = 0. Calculate h.
-6, 1
Let l be (-340 - -336) + 64/10. Solve 12/5*w + l + 3/5*w**2 = 0 for w.
-2
Let k(f) be the second derivative of f**4/28 - f**3/2 - 27*f**2/7 + f - 43. Factor k(l).
3*(l - 9)*(l + 2)/7
Let o = 71 - 72. Let s be 12/48 - o/(-4). Let 2/5*t**5 + 4/5*t**2 - 16/5 + s*t**4 - 14/5*t**3 + 24/5*t = 0. Calculate t.
-2, 1, 2
Suppose 7*d - 6*d + 2*c = 0, d - c = 3. Let h(b) be the third derivative of 1/180*b**5 + 0 + 3*b**d + 1/18*b**3 + 0*b + 1/36*b**4. Let h(x) = 0. What is x?
-1
Let -57549 - 732*s**3 - 67706*s**2 + 16872 - 2*s**4 - 133224*s - 30327 + 4756 = 0. Calculate s.
-182, -1
Let l be ((-1872)/(-98280))/((-2)/(-14)). Factor -2/15*f**2 + 0 + 4/15*f - l*f**3.
-2*f*(f - 1)*(f + 2)/15
Let k = 913/300 + 53/75. Find y such that 75/8 + 3/8*y**2 + k*y = 0.
-5
Let p = 132 + -455. Let u be (-4)/(-14)*(-133)/p. Factor 4/17*o**2 - u*o - 2/17 - 2/17*o**5 - 2/17*o**4 + 4/17*o**3.
-2*(o - 1)**2*(o + 1)**3/17
Let g = -402/553 - -80/79. Suppose -2/7*y**3 + 6/7*y**2 - 4/7 - 2/7*y**4 + g*y = 0. Calculate y.
-2, -1, 1
Let v(f) be the first derivative of 41*f**3/3 - f**2 + f + 1. Let a be v(1). Factor a*u - 40*u - u**3.
-u**3
Let o be (-134)/420 - 33/(-99). Let l(w) be the third derivative of o*w**5 + 0*w - 4/21*w**3 + 0 + 0*w**4 + 1/420*w**6 + 6*w**2. Solve l(p) = 0 for p.
-2, 1
Let a(t) = 10*t**4 - 78*t**3 + 167*t**2 - 123*t + 18. Let n(q) = -50*q**4 + 388*q**3 - 834*q**2 + 614*q - 90. Let l(y) = -28*a(y) - 6*n(y). Factor l(k).
4*(k - 3)**2*(k - 1)*(5*k - 1)
Let o(x) be the third derivative of 3*x**8/112 - x**7/14 - 7*x**6/60 + x**5/5 + x**4/3 - 10*x**2 + 11*x. Factor o(z).
z*(z - 2)*(z - 1)*(3*z + 2)**2
Let d(h) be the first derivative of h**7/105 + h**6/25 + 3*h**5/50 + h**4/30 + 26*h - 25. Let p(k) be the first derivative of d(k). Find j such that p(j) = 0.
-1, 0
Factor -13*l + 51*l - 3*l**2 + l**2.
-2*l*(l - 19)
Let r be 82/(-60)*(-29)/58. Let d = r - 1/12. Factor 3/5*a**3 + 0 - 3/5*a + d*a**4 - 3/5*a**2.
3*a*(a - 1)*(a + 1)**2/5
Let u be (-23)/4 + 6 + 2/8. Let a(l) be the first derivative of -3/4*l**2 - 1/2*l**3 - 1/8*l**4 -