)/12 + 20/n. Factor i*o**3 + 5*o + 3 - 1 - 4*o**2 + 0*o - 3*o**3.
-(o - 1)*(o + 2)*(3*o + 1)
Let w(f) be the third derivative of 1/168*f**8 + 1/5*f**5 + 0 + 2/9*f**3 + 0*f - 4/315*f**7 - 2/45*f**6 - 6*f**2 - 11/36*f**4. Suppose w(g) = 0. Calculate g.
-2, 1/3, 1
Let c = 139 + -134. Let b(a) be the second derivative of 1/9*a**2 + 1/54*a**4 + 0 + c*a + 2/27*a**3. Factor b(d).
2*(d + 1)**2/9
Let t(i) be the first derivative of 1/18*i**6 + 0*i**2 + 0*i + 3 + 0*i**5 + 0*i**3 - 1/12*i**4. Factor t(b).
b**3*(b - 1)*(b + 1)/3
Let w(a) be the second derivative of 1/60*a**4 - 1/10*a**3 - 21*a + 0 - 2/5*a**2. Suppose w(q) = 0. Calculate q.
-1, 4
Let f(j) be the second derivative of j**4/120 - 4*j**3/5 - 49*j**2/20 + 182*j. Suppose f(x) = 0. What is x?
-1, 49
Let k(r) = 2*r - 20. Let y be k(11). Let n(f) = 2*f**2 - f - 2. Let u be n(-2). Factor 3*m**3 + 4*m**4 + 5*m - 7*m**y - 5*m**2 + u - 7*m**3 - m.
4*(m - 2)*(m - 1)*(m + 1)**2
Let d(b) be the second derivative of b**6/135 - b**5/9 + 4*b**4/9 + 32*b**3/27 - 128*b**2/9 + 71*b. What is l in d(l) = 0?
-2, 4
Suppose q + 6 = 3*s, 0 = 4*q - 0*q + 2*s - 18. Factor 27/8*k**q + 1/8*k - 27/8*k**4 + 0 - 9/8*k**2.
-k*(3*k - 1)**3/8
Let z(x) be the first derivative of 2*x**5/15 + x**4/3 - 2*x**3/9 - 2*x**2/3 - 109. Suppose z(l) = 0. Calculate l.
-2, -1, 0, 1
Let q = 1076/1611 + -2/1611. Suppose -2*o - 13 = -5*a - 3*o, 0 = -4*a - 2*o + 14. Factor 0*g - q + 2/3*g**a.
2*(g - 1)*(g + 1)/3
Let v(h) be the second derivative of -h**6/45 - h**5/3 - 14*h**4/9 - 8*h**3/3 + 213*h. Factor v(r).
-2*r*(r + 2)**2*(r + 6)/3
Let t(l) = -l**4 + l. Let c(v) = 6*v**2 + 24*v - 16*v**4 + 4 - 5*v**3 + 0*v**3 + 3*v**3. Let z(m) = 2*c(m) - 28*t(m). Solve z(w) = 0.
-1, 2
Let y(v) be the first derivative of v**6/12 - 7*v**5/5 + 39*v**4/4 - 36*v**3 + 297*v**2/4 - 81*v + 321. Factor y(f).
(f - 3)**4*(f - 2)/2
Let r = -10253/7 - -1465. Find t, given that 0 - r*t - 2/7*t**2 = 0.
-1, 0
Let s(r) be the second derivative of r**7/140 - r**6/20 + r**5/10 + 5*r**2 + 11*r. Let d(m) be the first derivative of s(m). Find q, given that d(q) = 0.
0, 2
Let s(i) = -143*i**3 + 794*i**2 - 1183*i - 86. Let d(z) = -72*z**3 + 396*z**2 - 592*z - 44. Let r(j) = 7*d(j) - 4*s(j). Determine t, given that r(t) = 0.
-1/17, 3
Factor 0 - 8/11*k + 2/11*k**4 + 0*k**2 + 6/11*k**3.
2*k*(k - 1)*(k + 2)**2/11
Suppose -s - 6 = 2*s, -2*b + 3*s = -10. Factor -16*z**b - 24*z**4 - 29*z**4 - 4 - 14*z - 4*z**3 + 57*z**4 + 2*z**5.
2*(z - 2)*(z + 1)**4
Let n = 11/10 - -12/5. Let b be 248/48 - 24/9. Determine l so that -7/2*l**4 + 3/2*l**3 + l + n*l**2 + 0 - b*l**5 = 0.
-1, -2/5, 0, 1
Factor 17/3*f - 1/3*f**2 + 38/3.
-(f - 19)*(f + 2)/3
Let z = -9 + 10. Suppose -7 = -4*y + z. Let -y*d**3 - 4*d**3 - 8*d**4 + 4*d**4 + 2*d = 0. What is d?
-1, 0, 1/2
Suppose 0 = 4*h + 29 - 65. Suppose 4*j = j + h. Find b, given that 0*b + 6/5*b**j + 0 + 3/5*b**2 + 3/5*b**4 = 0.
-1, 0
Let u(r) be the third derivative of r**6/60 + r**5/15 + r**4/12 - 103*r**2. Find l such that u(l) = 0.
-1, 0
Let k(u) = 6*u**3 - 168*u**2 + 936*u - 1341. Let t(c) = -11*c**3 + 336*c**2 - 1869*c + 2685. Let y(p) = 5*k(p) + 3*t(p). Factor y(s).
-3*(s - 50)*(s - 3)**2
Solve -64/7 - 1300/7*p**2 + 1014/7*p**3 + 512/7*p = 0 for p.
4/13, 2/3
Solve 108/5*a - 106/5 - 2/5*a**2 = 0.
1, 53
Let o(z) = 8*z**3 + 250*z**2 + 586*z + 311. Let i(m) = -m**3 - 50*m**2 - 117*m - 62. Let l(p) = 11*i(p) + 2*o(p). Find g, given that l(g) = 0.
-1, 12
Let o(g) be the third derivative of g**5/90 - 139*g**4/54 + 184*g**3/27 + 289*g**2. Find t, given that o(t) = 0.
2/3, 92
Factor 1/10*a**4 + 0 - 3/10*a**3 + 0*a**2 + 2/5*a.
a*(a - 2)**2*(a + 1)/10
Suppose 5*w - 14 = -n, -18 = w + n - 6*n. Let s(x) be the first derivative of 1/5*x**w + 0*x - 2/5*x**3 - 1/2*x**4 + 6/25*x**5 + 6 + 4/15*x**6. Solve s(j) = 0.
-1, 0, 1/4, 1
Let y(g) = 5*g + 2. Let o = -169 - -169. Let j be y(o). Determine r, given that 0 + 3/5*r**j + 6/5*r = 0.
-2, 0
Let t(f) be the second derivative of -f**6/30 + f**5/20 + f**4/12 - f**3/6 - 55*f. Factor t(k).
-k*(k - 1)**2*(k + 1)
Determine u so that -40 + 95*u**3 + 40*u**4 + 48*u**2 - 118*u**2 - 4*u**5 - 21*u**5 - 140*u = 0.
-1, -2/5, 2
Let z(y) = -y. Let h = 18 + -21. Let p be z(h). Factor -5*i**4 - 2*i**4 + p*i**4 - 4*i**5.
-4*i**4*(i + 1)
Let v(g) be the third derivative of 1/42*g**8 + 7/30*g**5 + 8*g**2 + 13/105*g**7 + 1/4*g**6 + 0*g + 0*g**3 + 0 + 1/12*g**4. What is l in v(l) = 0?
-1, -1/4, 0
Let g = -16 + 50. Let v = 37 - g. Factor 4/5*o**v + 0*o + 2/5*o**2 + 2/5*o**4 + 0.
2*o**2*(o + 1)**2/5
Suppose 4/11*h**2 - 10/11*h - 6/11 = 0. What is h?
-1/2, 3
Solve 10584*h - 756*h**2 - 55566 + 24*h**3 - 2/7*h**4 = 0 for h.
21
Let o(b) be the second derivative of 4*b**6/15 - 11*b**5/10 + 13*b**4/12 - b**3/3 + 69*b. Suppose o(a) = 0. What is a?
0, 1/4, 1/2, 2
Factor 3*m**3 + 15/2*m**2 + 0 - 1/2*m**4 + 4*m.
-m*(m - 8)*(m + 1)**2/2
Factor 120/7 - 106/7*y + 2/7*y**3 - 16/7*y**2.
2*(y - 12)*(y - 1)*(y + 5)/7
Let -4 - 2*c**3 + c + 4*c**2 + 11*c - 8*c - 2*c**3 = 0. Calculate c.
-1, 1
Let j(x) be the third derivative of -x**10/181440 + x**8/20160 - x**6/4320 - x**4/4 + 13*x**2. Let g(h) be the second derivative of j(h). Factor g(t).
-t*(t - 1)**2*(t + 1)**2/6
Let k(g) be the third derivative of g**6/120 - g**5/15 + g**4/8 + 5*g**2 + 14*g. Determine s so that k(s) = 0.
0, 1, 3
Let o(r) be the second derivative of -1/12*r**4 - 1/30*r**5 + 1/3*r**3 + 2*r**2 - 8*r + 0 + 1/60*r**6. Let n(f) be the first derivative of o(f). Factor n(i).
2*(i - 1)**2*(i + 1)
Let o be (2/56)/(18/144). Suppose -2/7*j**3 - o*j**2 + 2/7*j + 0 + 2/7*j**4 = 0. What is j?
-1, 0, 1
Let b(j) = j + 26. Let o be b(-23). Suppose 3*g - 6 = y, y = g - 2*g + 6. Factor 21*t**o - 2*t - 36*t**y + 17*t**3 - 2 + 2*t**2.
2*(t - 1)*(t + 1)**2
Let m(y) = 2*y**2 - 8*y - 2. Let n(t) = 5*t + 2 + 4 + 8*t**2 - 9*t**2 - 5. Let v(p) = 5*m(p) + 8*n(p). Factor v(k).
2*(k - 1)*(k + 1)
Solve 0 + 3/5*k**3 - 54*k**2 + 267/5*k = 0.
0, 1, 89
Let a(h) be the third derivative of -1/180*h**6 + 1/252*h**8 + 0*h**3 + 0*h**5 + 1/315*h**7 + 0*h + 0*h**4 + 0 + 7*h**2. Factor a(u).
2*u**3*(u + 1)*(2*u - 1)/3
Let z(h) = 6*h**3 + 19*h**2 + 6*h + 7. Let c(o) = 3*o**3 + 10*o**2 + 3*o + 4. Let n be (-2)/1 + (-15 + 3)/(-2). Let u(i) = n*z(i) - 7*c(i). Factor u(a).
3*a*(a + 1)**2
Let z(j) be the first derivative of j**4/6 - 4*j**3/9 + j**2/3 + 96. Suppose z(y) = 0. What is y?
0, 1
Factor 3/4*o**4 - 3/4*o - 9/4*o**2 + 3/2 + 3/4*o**3.
3*(o - 1)**2*(o + 1)*(o + 2)/4
Let h(m) be the second derivative of -m**5/70 + 2*m**4/21 + 16*m**3/21 - 64*m**2/7 + 105*m. Factor h(z).
-2*(z - 4)**2*(z + 4)/7
Factor 7*r**4 - 10*r**3 - 1961*r - 18*r**2 + 27 - r**5 - 1964*r + 3952*r.
-(r - 3)**3*(r + 1)**2
Factor -222*a**2 + 134*a**2 - 313*a - 171*a - 4*a**3.
-4*a*(a + 11)**2
Let j(x) = -121 - 7*x**2 + 24 + 6*x + 3*x**2 + 31*x. Let t(w) = 4*w**2 - 36*w + 96. Let q(n) = -4*j(n) - 3*t(n). Factor q(r).
4*(r - 5)**2
Let u(p) = -5*p**3 - 5*p + 259 - 5*p**2 - 259. Let k(a) = 5*a**3 + 6*a**2 + 5*a. Let d = 1 + -5. Let x(j) = d*u(j) - 5*k(j). Factor x(q).
-5*q*(q + 1)**2
Let g(v) = 2*v**2 - 4*v - 6. Suppose p - 40 = -4*u - 18, u + p = 4. Let x(s) = 2*s**2 - 4*s - 6. Let w(l) = u*g(l) - 5*x(l). Let w(c) = 0. Calculate c.
-1, 3
Let u(d) = 53*d - 51. Let k be u(1). Let t(v) be the first derivative of 0*v + 0*v**k + 0*v**4 - 2/21*v**3 + 2/35*v**5 + 3. Factor t(f).
2*f**2*(f - 1)*(f + 1)/7
Suppose -6 = -15*s + 12*s - 3*z, -z = 0. Let -9/2*a + 27/4 + 3/4*a**s = 0. Calculate a.
3
Let x(d) = -d**3 - 3*d**2 + 11*d + 9. Let j be x(-5). Let l = 77/312 + 1/312. Find c, given that -c**3 + 3/4*c - 1/2*c**2 + 1/2 + l*c**5 + 0*c**j = 0.
-1, 1, 2
Let c be ((-6)/42)/((-1000)/(-144) - 7). Factor -12/7*n - 2/7*n**2 - c.
-2*(n + 3)**2/7
Let j(t) be the first derivative of -3*t**4/4 - 47*t**3/7 - 6*t**2 + 36*t/7 - 345. Factor j(a).
-3*(a + 1)*(a + 6)*(7*a - 2)/7
Let -15*r - 27*r + 119*r - 10*r**2 - 42*r - 15*r**3 - 10 = 0. Calculate r.
-2, 1/3, 1
Let k(l) = 4*l**3 + 29*l**2 + 22*l - 48. Let d be k(-6). Factor 5/3 - 5/3*w**2 + d*w.
-5*(w - 1)*(w + 1)/3
Let q = 3146641304/1105 + -2847639. Let x = -3/85 + q. Factor x*m**4 + 0*m - 2/13*m**2 + 0 + 0*m**3.
2*m**2*(m - 1)*(m + 1)/13
Suppose -21*l = 33 - 12. Let a be l/(-10)*(-65)/(-39). Solve -1/6*j**3 + 0*j + 0 - a*j**2 = 0.
-1, 0
Let w 