**4/14 + 935*d**3/21 - 312*d**2/7 + 235*d + 4. Suppose i(t) = 0. What is t?
-312, 1
Factor 62*t**2 - 251*t**3 + 45*t + 231*t**3 - 105*t + 2*t**4.
2*t*(t - 5)*(t - 3)*(t - 2)
Let k(o) be the third derivative of -8*o**7/315 - 19*o**6/30 - 14*o**5/3 - 49*o**4/18 - 4*o**2 + 16. Suppose k(b) = 0. Calculate b.
-7, -1/4, 0
Suppose -y + 12 = -3. Let w = -1073 + 1076. Factor 13*s**5 - 9*s - 6*s**4 - 40*s**5 + 6*s**2 + 13*s**5 + 8*s**w + y*s**5.
s*(s - 3)**2*(s - 1)*(s + 1)
Let p = -2692053/11 - -244733. Factor 6/11*j**3 - p - 6/11*j + 10/11*j**2.
2*(j - 1)*(j + 1)*(3*j + 5)/11
Let 25*d**3 + 20*d**2 + 966 - 14*d - 27*d**3 - 20*d - 1022 = 0. Calculate d.
-1, 4, 7
Suppose -5*n + 2*u + 22 = 0, -5*u - 4 = -5*n + 6. Let c = -1 + n. Factor c*w**3 + w + 3*w**5 - 6*w**4 - 22*w + 24*w**2 - 11*w**3 + 6.
3*(w - 1)**4*(w + 2)
Let a(z) be the second derivative of z**4/18 - 35*z**3 + 2997*z. Factor a(c).
2*c*(c - 315)/3
Suppose 6*b - 8 = 4. Factor -30 - 9*a + 5*a**2 + 12*a**b - 14*a**2.
3*(a - 5)*(a + 2)
Let s(o) = -o**2 - 208*o + 1068. Let y be s(5). Let i(a) be the first derivative of 1/22*a**4 + 8/11*a - 17 - 4/11*a**2 - 2/33*a**y. Solve i(g) = 0.
-2, 1, 2
Let p(o) = o**3 - o**2 + o - 1. Let q(r) = -7*r**3 + 52*r**2 - 121*r + 4. Let j(u) = -4*p(u) - q(u). Solve j(f) = 0.
0, 3, 13
Let w = -534 - -535. Let v be (-5 - -2) + w + 0 + 5. Factor 5/2*o**2 - 3*o + 1/2*o**v + 0.
o*(o - 1)*(o + 6)/2
Factor 6664*t + 2/3*t**4 + 6936 + 4394/3*t**2 - 196/3*t**3.
2*(t - 51)**2*(t + 2)**2/3
Let n be (-7)/2*(-80)/140. Factor 12*a**n - 9 + 53*a + a**3 - 62*a - 11*a**2.
(a - 3)*(a + 1)*(a + 3)
Let u = 834381 + -10846929/13. Determine d, given that 8/13*d - 2/13*d**3 + u - 6/13*d**2 = 0.
-3, -2, 2
Let l(i) be the third derivative of i**7/70 - 17*i**6/40 - 119*i**5/10 - 104*i**4 - 432*i**3 + 703*i**2 + i. Factor l(r).
3*(r - 27)*(r + 2)*(r + 4)**2
Let i(s) be the third derivative of s**6/60 - 929*s**5/30 + 71765*s**4/4 + 72075*s**3 + 869*s**2. Suppose i(k) = 0. What is k?
-1, 465
Let 20/7*n + 4/7*n**3 + 0 + 24/7*n**2 = 0. What is n?
-5, -1, 0
Let n(g) be the second derivative of g**4/3 - 502*g**3/3 + 500*g**2 - 2779*g. Determine c, given that n(c) = 0.
1, 250
Let v be 15/(-4)*1128/(-2820). Solve -3/8*o**3 - v*o**2 + 0 - 3/2*o = 0.
-2, 0
Let z(d) be the first derivative of 302 - 11/7*d**2 - 16/21*d**3 + 36/7*d + 1/14*d**4. Determine g so that z(g) = 0.
-2, 1, 9
Let k(w) be the third derivative of w**8/168 - 3*w**7/35 - 23*w**6/60 + 3*w**5/10 + 11*w**4/6 - 1687*w**2. Let k(h) = 0. What is h?
-2, -1, 0, 1, 11
Let b(w) = -10*w**3 - 13*w**2 + 67*w + 22. Let g(m) = -10*m**3 - 15*m**2 + 65*m + 15. Let c(v) = -5*b(v) + 6*g(v). Factor c(u).
-5*(u - 1)*(u + 4)*(2*u - 1)
Let w be 8/(8/(-15))*(-2)/24. Factor -1/4 - 3/2*n - w*n**2.
-(n + 1)*(5*n + 1)/4
Let q(r) = 2*r**2 + 12*r - 2. Let x(a) = -3*a**2 - 24*a + 4. Let b(h) = 5*q(h) + 3*x(h). Let g be b(12). Factor -2*v - 15*v**2 - 20*v**2 + v**4 + 32*v**g.
v*(v - 2)*(v + 1)**2
Let y(n) be the third derivative of n**4/12 - 7*n**3/3 + 48*n**2. Let b be y(7). Factor 1/2*i**5 - i**3 + 1/2*i + b + 0*i**4 + 0*i**2.
i*(i - 1)**2*(i + 1)**2/2
Let d(i) be the first derivative of 3*i**5/5 + 45*i**4/4 + 74*i**3 + 198*i**2 + 216*i + 684. Factor d(x).
3*(x + 1)*(x + 2)*(x + 6)**2
Let v be (0 + 1/(-28))/(219/(-12) + 18). Factor -1/7*p**4 - v*p - 2/7 + 1/7*p**3 + 3/7*p**2.
-(p - 2)*(p - 1)*(p + 1)**2/7
Factor -4788/5*k - 1910412/5 - 3/5*k**2.
-3*(k + 798)**2/5
Let p(f) = f**3 - 5*f**2 + 12*f - 56. Let n be p(5). Factor 64*b**2 - 123*b**2 + 61*b**2 - n - 4.
2*(b - 2)*(b + 2)
Let d(h) = -15*h**2 + 95*h + 140. Let n(t) = t**2 - 4. Let o be 1/5 + (1 - (-88)/10). Let u(w) = o*n(w) + d(w). Factor u(r).
-5*(r - 20)*(r + 1)
Let x(u) be the first derivative of -u**4/10 + 68*u**3/15 + u**2/5 - 68*u/5 + 813. Factor x(t).
-2*(t - 34)*(t - 1)*(t + 1)/5
Let d(k) = 3*k**2 + 692*k + 40340. Let a(p) = -12*p**2 - 2769*p - 161367. Let u(i) = 4*a(i) + 15*d(i). Solve u(n) = 0 for n.
-116
Let l(c) = c**3 - 31*c**2 + 56*c + 20. Let q be l(29). Let t = 40 + q. Suppose 8/3*b**3 - 4/9*b - 2/3*b**t - 14/9*b**4 + 0 = 0. What is b?
-2/7, 0, 1
Let w(f) = 9*f**5 + 14*f**4 + 11*f**3 - 6*f - 9. Let n(i) = 224*i**5 + 350*i**4 + 274*i**3 - 148*i - 222. Let d(g) = 6*n(g) - 148*w(g). What is j in d(j) = 0?
-4/3, -1, 0
Let o = -31 - -35. Suppose -x - 12 = -o*p + 4, -3*x - 12 = 0. Suppose 2*f**p + 6*f**2 - 6*f**5 + 0*f**2 - 3*f**4 - 3 + 5*f**5 - f = 0. Calculate f.
-3, -1, 1
Solve 1728*o - 33*o**2 - 27*o**2 + 2*o**2 + 54*o**2 - 186624 = 0.
216
Let o(f) be the third derivative of -3*f**3 - 59/135*f**5 + 0*f + 23 - 1/945*f**7 + 2*f**2 - 1/27*f**6 - 5/3*f**4. Factor o(g).
-2*(g + 1)**2*(g + 9)**2/9
Let r(n) be the second derivative of -n**10/52920 - n**9/8820 + 2*n**7/2205 - 19*n**4/4 + 9*n. Let x(j) be the third derivative of r(j). Factor x(y).
-4*y**2*(y - 1)*(y + 2)**2/7
Factor -625*p + 0 - 1/4*p**3 - 25*p**2.
-p*(p + 50)**2/4
Let d(a) = 1477*a + 27. Let p be d(1). Factor 50 + 1820*u**2 + 109 + 170*u**3 - 70*u**3 + 145 - p*u.
4*(u + 19)*(5*u - 2)**2
Factor -8963378 - 9404*w + 13*w**2 + 18*w**2 - 33*w**2 + 936*w.
-2*(w + 2117)**2
Factor 632 - 885*i - 519*i**3 + 226 + 522*i**3 + 24*i**2.
3*(i - 13)*(i - 1)*(i + 22)
Let i(z) be the second derivative of 2*z**6/75 - 27*z**5/5 + 130*z**4/3 - 2*z - 6181. Find k such that i(k) = 0.
0, 5, 130
Let c(q) = -7*q**3 - 7*q**2 + 12*q. Let r(l) = 173*l**3 + 171*l**3 - 15*l**2 + 25*l - 359*l**3. Let m(v) = -5*c(v) + 2*r(v). Find f, given that m(f) = 0.
-2, 0, 1
Let n(t) be the third derivative of t**6/30 - 44*t**5/5 + 968*t**4 - 170368*t**3/3 - 179*t**2. Factor n(i).
4*(i - 44)**3
Let l be (1/9*15)/((-10)/(-270)). Suppose -10*c = 15 - l. Let -2/3*g + 2*g**2 - 13/6*g**c + g**4 + 0 - 1/6*g**5 = 0. What is g?
0, 1, 2
Factor -2/3*g**4 - 426*g**2 - 424/3 + 430/3*g**3 + 1274/3*g.
-2*(g - 212)*(g - 1)**3/3
Factor 178608 + 1/3*q**2 - 488*q.
(q - 732)**2/3
Suppose 136 = 9*y + 136. Let m(v) be the third derivative of 1/105*v**7 - 5*v**2 - 1/20*v**6 + y*v - 1/6*v**5 - 1/6*v**4 + 0 + 0*v**3 + 1/168*v**8. Factor m(x).
2*x*(x - 2)*(x + 1)**3
Determine j so that -18*j**2 - 1185*j - 21*j**2 - 1806 + 46*j**2 - 2854 - 12*j**2 = 0.
-233, -4
Let u(l) be the second derivative of -l**8/36960 + 5*l**6/792 + 179*l**4/12 + 277*l. Let s(o) be the third derivative of u(o). Factor s(j).
-2*j*(j - 5)*(j + 5)/11
Let v(l) = 29*l**2 - 101*l - 79. Suppose -2*k + 75 = 5*w + 16, -3*k = -6. Let o(r) = -14*r**2 + 51*r + 39. Let y(t) = w*o(t) + 6*v(t). Solve y(z) = 0 for z.
-3/4, 3
Let v be (-40996)/9141 + 14/3. Find o, given that -v - 12/11*o**2 - 2/11*o**4 + 8/11*o + 8/11*o**3 = 0.
1
Suppose 2*j - 5*j + 3*v = -30, 4*j = -3*v + 5. Let s(l) = -l**2 - 81*l + 67. Let t(b) = 2*b**2 + 242*b - 202. Let z(y) = j*t(y) + 14*s(y). Factor z(f).
-4*(f - 18)*(f - 1)
Suppose 0 = -4*z - p + 32, 7 + 5 = 3*p. Factor 3*g**5 - z*g**2 - 15*g**3 + 12*g**3 + 4*g**2 + 3*g**4.
3*g**2*(g - 1)*(g + 1)**2
Suppose -36*q = -35*q + 4*s - 22, 3*s - 39 = -3*q. Let h(o) be the first derivative of 5/4*o**4 + q*o + 20/3*o**3 + 25/2*o**2 - 10. Factor h(m).
5*(m + 1)**2*(m + 2)
Solve -2*v**5 + 39*v**5 + 8*v**4 - 18*v**5 + 10*v**3 + 4*v**2 - 17*v**5 = 0.
-2, -1, 0
Let s(l) be the second derivative of l**6/135 - 31*l**5/18 + 17*l**4/6 + 155*l**3/27 - 154*l**2/9 - 6*l - 3. Find m such that s(m) = 0.
-1, 1, 154
Let q(v) = 11*v**3 + 10*v**2 - 25*v - 36. Let p be -8 - 3 - 5*-1. Let a(o) = 23*o**3 + 20*o**2 - 50*o - 73. Let n(r) = p*a(r) + 13*q(r). Factor n(y).
5*(y - 2)*(y + 1)*(y + 3)
Suppose f - 327 = -3*r, 3*r - 6 + 1239 = 4*f. Suppose -17*h = 35*h - f. Let -h*o + 1/2*o**4 + 13/2*o**2 - 3*o**3 + 2 = 0. What is o?
1, 2
Let w = 2/4165 + 3998/833. Let p(v) be the first derivative of -14 - 2/5*v**3 - w*v - 3*v**2. Determine c, given that p(c) = 0.
-4, -1
Factor 5 - 1/6*d**2 + 13/6*d.
-(d - 15)*(d + 2)/6
Let s = 297061/11 - 27005. Let 2/11*n**2 + s - 8/11*n = 0. Calculate n.
1, 3
Let v(i) be the first derivative of -5/4*i**2 + 0*i + 97 - 4/5*i**5 - 7/2*i**4 - 11/3*i**3. Factor v(b).
-b*(2*b + 1)**2*(2*b + 5)/2
Factor -46/3*y - 496/3 + 2/3*y**2.
2*(y - 31)*(y + 8)/3
Let b(u) = -5*u**2 - 10*u - 1. Let k be b(-1). Suppose -5*r - 10 = 0, -12 = -0*o - 2*o + k*r. Factor 1/2*z**o + 0 + 3/2*z.
z*(z + 3)/2
Let y(f) be the third derivative of -59*f**2 + 0 