(-8)/o. Determine i, given that 0*i + 2/7 + 0*i**3 + n*i**4 - 4/7*i**2 = 0.
-1, 1
Let z(f) be the third derivative of 7/1200*f**6 + 0*f + 0*f**3 + 0 - 7*f**2 + 0*f**4 + 1/300*f**5 - 1/1050*f**7 - 1/480*f**8. Solve z(j) = 0.
-1, -2/7, 0, 1
Let r = 6171 + -18838/3. Let a = -107 - r. Factor -2/3 - a*c - 2/3*c**2.
-2*(c + 1)**2/3
Let d(y) be the third derivative of 0 - 1/180*y**6 - 1/90*y**5 + 1/24*y**4 + 1/210*y**7 - 17*y**2 - 1/18*y**3 - 1/1008*y**8 + 0*y. Factor d(c).
-(c - 1)**4*(c + 1)/3
Let o = -6789/5 - -1341. Let p = -578/35 - o. Solve -6/7 - 4/7*q + p*q**2 = 0 for q.
-1, 3
Let p(i) = -39*i + 705. Let l be p(18). Let h(g) be the second derivative of -g**l + g + 9/4*g**2 + 0 + 1/8*g**4. Factor h(k).
3*(k - 3)*(k - 1)/2
Let h(r) be the second derivative of 0 - 4/3*r**3 - 4/5*r**6 + 0*r**2 - 3/28*r**7 - 11/5*r**5 - 8/3*r**4 - 11*r. Let h(v) = 0. Calculate v.
-2, -2/3, 0
Let s(o) be the first derivative of 1/420*o**6 - 1/210*o**5 + 0*o**3 + 0*o - 7/2*o**2 - 1/42*o**4 + 6. Let r(n) be the second derivative of s(n). Factor r(z).
2*z*(z - 2)*(z + 1)/7
Let t(x) be the first derivative of -5*x**4/24 - 116*x**3/9 - 2737*x**2/12 - 529*x/3 - 23. Factor t(p).
-(p + 23)**2*(5*p + 2)/6
Let b = -203 - -210. Suppose -b*k - 77 + 91 = 0. Factor 4/7 - 2/7*r**k - 2/7*r.
-2*(r - 1)*(r + 2)/7
Suppose -4*y = 5*h + 189, -3*h + 2*y = -2*y + 139. Let i = 206/5 + h. Factor 0 + i*f**3 + 4/5*f**2 - 4/5*f - 1/5*f**4.
-f*(f - 2)*(f - 1)*(f + 2)/5
Let r = 45 - 31. Let c be (-8)/r + (68/70 - 0). Find b such that 0*b**2 - c*b**3 + 2/5*b - 1/5 + 1/5*b**4 = 0.
-1, 1
Let m(c) be the first derivative of 1/5*c**2 - 2*c - 1/30*c**4 + 1 + 0*c**3. Let k(u) be the first derivative of m(u). Solve k(x) = 0 for x.
-1, 1
Factor 20*i**3 - 71*i**2 + 17*i - 23*i - 24*i - 44*i**2.
5*i*(i - 6)*(4*i + 1)
Let g be ((-4)/42*(-24 + 21))/(20/315). Factor -1/2 - 2*d**3 - g*d**2 - 3*d.
-(d + 1)**2*(4*d + 1)/2
Let z(x) = 12*x**2 + 2*x - 12. Let a(u) = u**2 - u. Let i(l) = 6*a(l) - z(l). Let v(j) = 13*j**2 + 16*j - 24. Let b(s) = 5*i(s) + 2*v(s). Solve b(y) = 0.
-3, 1
Factor -8*f**4 + 2*f**2 - 4*f + 4*f**5 - 8*f**2 + 14*f**2.
4*f*(f - 1)**3*(f + 1)
Let d = 542/381 - 96/127. What is r in -d*r**3 + 3/2 + 2*r + 1/6*r**4 - 1/3*r**2 = 0?
-1, 3
Let h(j) be the third derivative of j**5/180 - 2*j**4/3 + 47*j**3/18 - 2*j**2 - 7*j. Factor h(u).
(u - 47)*(u - 1)/3
Let i(f) be the first derivative of -1/3*f**3 + 4*f + 3/2*f**2 + 8. Suppose i(r) = 0. Calculate r.
-1, 4
Suppose -15*t - 3 = 12. Let p be t + (4 - (1 + -3))*1. Factor 2/11 + 2/11*f - 4/11*f**3 + 2/11*f**p + 2/11*f**4 - 4/11*f**2.
2*(f - 1)**2*(f + 1)**3/11
Let y(i) be the second derivative of -i**4/24 + 13*i**3/3 - 169*i**2 + i - 12. Find p such that y(p) = 0.
26
Factor -11/3*m**2 + 4/3*m + 3*m**3 + 0 - 1/3*m**5 - 1/3*m**4.
-m*(m - 1)**3*(m + 4)/3
Let a(g) = -g**2 - 5*g - 1. Let l be a(-3). Factor 10*v**3 - 17*v**5 + 12*v**l - 2*v**4 - 3*v**4.
-5*v**3*(v - 1)*(v + 2)
Let z(f) be the third derivative of 2*f**2 + 1/95*f**5 - 1/57*f**4 - f**3 - 1/684*f**6 + 0*f + 0. Let i(j) be the first derivative of z(j). Factor i(x).
-2*(x - 2)*(5*x - 2)/19
Let v be (-4*1)/(2 - 3). Suppose 3*z + v*r - r = 0, -4*z = r - 15. Factor -4*x**3 - 2*x**z + 8*x**4 - 2 - 4*x**2 - 2*x**4 + x + 5*x.
-2*(x - 1)**4*(x + 1)
Let o = 26581/9 + -2953. Factor 0 - o*d + 2/9*d**2.
2*d*(d - 2)/9
Let f be (4/(-18) - (-183)/(-27)) + 9. Factor -4/19 - 6/19*b + 0*b**f + 2/19*b**3.
2*(b - 2)*(b + 1)**2/19
Let o be 1/3 - 9747/81. Let z be o/28*(-12)/20. Suppose -12/7*f + z + 2/7*f**2 = 0. Calculate f.
3
Suppose 2*k + 26 - 4 = 0. Let u(c) = -c**3 + 32*c**2 - 27*c. Let x(p) = 16*p**2 - 14*p. Let h(a) = k*x(a) + 6*u(a). What is j in h(j) = 0?
0, 2/3, 2
Let j be -2 - ((-884)/24)/17. Let x(f) be the third derivative of 0 - 1/840*f**7 - 1/24*f**4 + 0*f - 1/80*f**5 + 1/120*f**6 + j*f**3 + 5*f**2. Factor x(o).
-(o - 2)**2*(o - 1)*(o + 1)/4
Let f(p) be the second derivative of 1/130*p**5 - 4/39*p**3 - 31*p + 1/26*p**4 + 0 + 0*p**2. Factor f(l).
2*l*(l - 1)*(l + 4)/13
Let l be (-259)/(-7) - (2/(-2) - -2). Let v = l - 36. Suppose 4/3*n**2 - 4/3*n**4 + 0*n - 2/3*n**5 + v + 2/3*n**3 = 0. Calculate n.
-2, -1, 0, 1
Let -100*g**3 + 739 + 100*g - 110*g**2 + 636 + 5*g**4 - 1270 = 0. What is g?
-1, 1, 21
What is f in 9*f**2 - 1/2*f**3 - 100 - 30*f = 0?
-2, 10
Suppose -31*a + 28*a + 3 = 0. Let k be a/(-4)*(-32 - -24). Solve 32/5*f**3 + 22/5*f**k + 4/5*f + 14/5*f**4 + 0 = 0.
-1, -2/7, 0
Suppose -10 = 3*v - 8*v. Factor -2 + 24*p + 14 + v*p**4 + 12*p**3 - 4 + 26*p**2.
2*(p + 1)**2*(p + 2)**2
Suppose 30*u + 32 = 5*d + 29*u, 3*d - 3*u = 36. Let 1/2*s**4 + 7/6*s**3 - 1/6*s**d + 4/3 - s - 11/6*s**2 = 0. What is s?
-2, -1, 1, 4
Let j = 3 + -3. Suppose -10 = -5*k + 2*p, -k - 2*p + 14 = -j*k. Factor 3*g**2 + 0*g + 7*g**2 - 6*g**3 - k*g - 18*g**4 + 2*g.
-2*g*(g + 1)*(3*g - 1)**2
Let n be 32/(-27) - (-2 + -3)/5. Let y = 1/27 - n. Find b, given that -2/9*b**3 + 4/9 + y*b - 4/9*b**2 = 0.
-2, -1, 1
Let i(v) be the third derivative of -v**7/1680 + v**6/40 - 3*v**5/10 - 108*v**2 - 2. Let i(b) = 0. Calculate b.
0, 12
Let s(z) be the third derivative of -z**8/2016 - z**7/1260 + z**6/240 + z**5/360 - z**4/72 + 3*z**2. Suppose s(r) = 0. What is r?
-2, -1, 0, 1
Let d(c) be the second derivative of c**7/1680 + c**6/960 - c**5/480 - c**4/192 + 6*c**2 + 11*c. Let s(b) be the first derivative of d(b). Factor s(v).
v*(v - 1)*(v + 1)**2/8
Let x(f) be the third derivative of 0*f**3 + 0 + 0*f + 5/8*f**4 + 1/24*f**5 - 3*f**2. What is w in x(w) = 0?
-6, 0
Let r(b) be the first derivative of -81*b**4/10 + 1326*b**3/5 + 896*b**2/5 + 40*b + 674. Factor r(a).
-2*(a - 25)*(9*a + 2)**2/5
Let u be ((-749)/56 - -13) + (-36)/(-32). Factor 9/4 + u*f**4 + 3/2*f - 3*f**2 - 3/2*f**3.
3*(f - 3)*(f - 1)*(f + 1)**2/4
Factor 162*u**4 + 0*u**5 + 54*u**2 - 138*u**4 - 3*u**5 - 63*u**3.
-3*u**2*(u - 3)**2*(u - 2)
Let k(f) be the second derivative of f**4/30 + f**3/5 - 2*f**2 + 31*f + 5. Suppose k(n) = 0. What is n?
-5, 2
Suppose 0 = 2*h - k - 4, 5*h + 2*k - 10 = k. Factor 8*x**4 - 88 + 88 - 12*x**3 + 16*x - 16*x**h + 4*x**5.
4*x*(x - 1)**2*(x + 2)**2
Let z be 12/(-297) - (125/45 + -3). Factor 0*p + 0 + z*p**3 + 2/11*p**2.
2*p**2*(p + 1)/11
Let i(m) be the second derivative of -m**5/4 + 115*m**4/6 - 2645*m**3/6 - 8*m + 5. Factor i(g).
-5*g*(g - 23)**2
Factor -2/3*p**2 - 16928/3 + 368/3*p.
-2*(p - 92)**2/3
Let v(s) be the third derivative of -14*s**2 + 0 + 0*s**4 - 1/6*s**6 + 0*s**3 + 0*s - 2/15*s**5 + 2/15*s**7. Factor v(m).
4*m**2*(m - 1)*(7*m + 2)
Suppose 8*b - 52 = -12. What is u in b*u + 3*u - 2*u**2 + 55 - 55 = 0?
0, 4
Let i = 12/49 + 62/147. Let y(f) be the second derivative of 0*f**3 + i*f**4 - 1/4*f**2 + 0 + 4*f. Factor y(p).
(4*p - 1)*(4*p + 1)/2
Let k(g) be the second derivative of -g**5/30 - 115*g**4/6 - 13225*g**3/3 - 1520875*g**2/3 - 15*g + 12. Factor k(b).
-2*(b + 115)**3/3
Factor 110*m - 3*m**4 + 2*m**3 + 8*m**3 - 6 + 5*m**4 - 118*m - 2*m**3 + 4*m**2.
2*(m - 1)*(m + 1)**2*(m + 3)
Let a(r) = 2*r**3 - r**2 - 5*r**2 - 3*r - 3*r - 14 + 10. Let f(z) = z**3 - 5*z**2 - 5*z - 3. Let g = -6 + 8. Let l(c) = g*a(c) - 3*f(c). Factor l(x).
(x + 1)**3
Let p(j) be the first derivative of -j**3/3 + 7*j**2/2 + 330. Factor p(n).
-n*(n - 7)
Let a(u) = -27*u - 402. Let q be a(-15). Let f(k) be the third derivative of -10*k**2 + 0*k + 0*k**q + 0 - 1/40*k**4 - 1/100*k**5. Factor f(x).
-3*x*(x + 1)/5
Let z(r) be the first derivative of 49*r**4/6 - 28*r**3/3 + 4*r**2 + 6*r - 4. Let o(c) be the first derivative of z(c). Factor o(x).
2*(7*x - 2)**2
Let j(g) be the third derivative of g**7/840 + g**6/120 + g**5/40 + g**4/24 + 3*g**3/2 + 10*g**2. Let d(v) be the first derivative of j(v). Factor d(w).
(w + 1)**3
Let -26*k + k**3 - 39*k**2 + 94*k**2 - 66*k**2 = 0. What is k?
-2, 0, 13
Let n = 8 - 5. Let z be (-6)/2 - (n + -8). Determine y so that 9*y + 5*y**2 + 18*y - 5*y**2 - 15*y**z + 6 = 0.
-1/5, 2
Let o(n) = -27*n + 10. Let a be o(2). Let k = 46 + a. Solve 0 + 4/5*i - 18/5*i**3 + 14/5*i**k = 0.
-2/9, 0, 1
Let m(x) be the first derivative of x**5/150 - x**4/60 + 3*x**2/2 + 7. Let g(l) be the second derivative of m(l). Factor g(z).
2*z*(z - 1)/5
Let j(c) be the third derivative of -c**7/420 - c**6/80 + 3*c**5/20 + 2*c**2 + 68. Factor j(y).
-y**2*(y - 3)*(y + 6)/2
Let x(j) be 