/6 + 2766*f. Let g(n) = 0. What is n?
-5, -1/7, 1
Let d(b) be the third derivative of 37*b**2 - 7/48*b**4 + 0 + 1/240*b**6 + 0*b**3 + 0*b + 1/20*b**5. Factor d(q).
q*(q - 1)*(q + 7)/2
Let m = 40137/10 - 8025/2. Factor 12/5*d - m*d**2 + 24/5 - 3/5*d**3.
-3*(d - 2)*(d + 2)**2/5
Let o(w) = -17*w**5 - 18*w**4 - 8*w**2 - 8*w - 8. Let i(p) = 6*p**5 + 6*p**4 + 3*p**2 + 3*p + 3. Let d = -182 - -179. Let c(k) = d*o(k) - 8*i(k). Factor c(t).
3*t**4*(t + 2)
Let l(c) = c**3 - 6*c**2 - 15*c - 5. Let z be l(8). Factor 2*n**2 - 42*n**z + 22*n**3 - 20 - 19*n + 21*n**3.
(n - 4)*(n + 1)*(n + 5)
Factor 2/11*u**2 + 50/11 - 20/11*u.
2*(u - 5)**2/11
Let o(l) = -3*l**3 + 383*l**2 - 2073*l + 1725. Let a(n) = -3*n**3 + 378*n**2 - 2076*n + 1725. Let t(y) = 4*a(y) - 3*o(y). Find s such that t(s) = 0.
1, 5, 115
Let t(h) be the first derivative of 55*h**2 + 50 + 25/2*h**4 - 40*h**3 - h**5 - 35*h. Find l such that t(l) = 0.
1, 7
Let x(p) be the first derivative of 5*p**4/8 + 9*p**3/4 + 11*p**2/8 - 3*p/2 + 1870. Factor x(s).
(s + 1)*(s + 2)*(10*s - 3)/4
Let -38*s**3 + 10*s**3 + 200*s + 10*s**3 - 15*s**2 + 9*s**3 + 4*s**3 = 0. What is s?
-8, 0, 5
Let q(x) be the third derivative of 0*x + 1/28*x**5 + 73/56*x**4 + 64*x**2 - 15/7*x**3 + 0. Factor q(g).
3*(g + 15)*(5*g - 2)/7
Let b(m) be the third derivative of -m**6/660 - m**5/110 + 5*m**4/66 - 2*m**2 - 115. Find v, given that b(v) = 0.
-5, 0, 2
Factor -108/7*t + 204/7 + 3/7*t**2.
3*(t - 34)*(t - 2)/7
Suppose 0 = 11*m + 11 + 11. Let w(y) = y**3 + 9*y**2 + 45*y + 67. Let t(h) = -h**2 - h + 1. Let l(b) = m*w(b) + 6*t(b). Factor l(r).
-2*(r + 4)**3
Let g(y) be the second derivative of 3/130*y**5 + 1/78*y**4 + 0 + 45*y + 0*y**2 - 2/39*y**3. Suppose g(i) = 0. Calculate i.
-1, 0, 2/3
Suppose 17*t = 16 + 18. Factor -i**3 - 2*i - 5*i**3 + 4*i**3 - 12 + 8*i**t.
-2*(i - 3)*(i - 2)*(i + 1)
Factor -1/5*x**2 + 8/5*x - 7/5.
-(x - 7)*(x - 1)/5
Solve 29/5 - 5/2*r + 23/10*r**3 + 1/5*r**5 + 31/10*r**4 - 89/10*r**2 = 0 for r.
-29/2, -2, -1, 1
Suppose 2*a + 43 = -23. Let g = a + 38. Let -242*m + g*m**2 + 3 - 3 + 262*m = 0. What is m?
-4, 0
Solve -116/17*r**2 + 0 + 2/17*r**3 - 118/17*r = 0 for r.
-1, 0, 59
Let s(a) be the second derivative of -a**6/105 - 61*a**5/10 - 15265*a**4/14 - 15123*a**3/7 + a - 320. Factor s(g).
-2*g*(g + 1)*(g + 213)**2/7
Let z = -69 - -71. Factor -27*u**2 + 0 - 14 - u**3 - 21*u**z + 54*u - 7*u**3.
-2*(u + 7)*(2*u - 1)**2
Let f be 14 - (-176)/66*2/(-8). Let o(b) be the first derivative of -b**4 - f*b**3 - 64*b**2 - 128*b + 20. Determine z so that o(z) = 0.
-4, -2
Let y(z) be the first derivative of z**3/3 + 1103*z**2/2 - 1104*z + 10745. Factor y(g).
(g - 1)*(g + 1104)
Let h(n) = -45*n**2 - 810*n + 925. Suppose -74*i = -77*i - 105. Let t(c) = -5*c**2 - 90*c + 103. Let y(x) = i*t(x) + 4*h(x). Factor y(u).
-5*(u - 1)*(u + 19)
Let u = 434 + -428. Let c be (-21)/u*152/(-931). Suppose c + 2*d**2 - 18/7*d = 0. What is d?
2/7, 1
Suppose -z + 8 = -o + 2, 4*z = -5*o - 12. Suppose -p**z + 71*p - 36 - 36 + 2*p**2 + 0*p**2 = 0. What is p?
-72, 1
Let v = 2077/1356 - 126/113. Let n(u) be the first derivative of -2/3*u**3 - 1/15*u**5 + v*u**4 - 2/3*u**2 - 28 + 8/3*u. Solve n(a) = 0 for a.
-1, 2
Let t(c) = -c**3 - 2*c**2 + 2*c + 1. Suppose 4*q - 4 = -0. Let w(f) = -4*f**4 - 41*f**3 - 118*f**2 - 90*f - 3. Let i(a) = q*w(a) + 3*t(a). Factor i(k).
-4*k*(k + 1)*(k + 3)*(k + 7)
Suppose -4*n + 105 = 3*a, 3*n + 0*a = 5*a + 57. Factor -31*k**2 + n*k**3 - 4355*k - 27*k**2 - 45 + 4466*k - 32*k**2.
3*(k - 1)*(2*k - 3)*(4*k - 5)
Factor -253*z + 5*z**2 - 6*z**2 + 3*z**2 + 795*z.
2*z*(z + 271)
Let w = 21 + -22. Let f be 26 - 28 - (-1)/(w/(-4)). Factor -4*r + 5 - 10*r**f + 27*r**2 - 9*r**2 - 9*r**2.
-(r - 1)*(r + 5)
Solve 34/3*y**3 + 0*y + 0*y**2 + 1/3*y**4 + 0 = 0.
-34, 0
Let o(h) be the second derivative of -3*h**6/5 + 39*h**5/5 - 877*h**4/24 + 895*h**3/12 - 75*h**2 - 613*h. Let o(l) = 0. Calculate l.
5/6, 3, 4
Let z(y) be the third derivative of -11*y**8/1008 + 2*y**7/35 - 7*y**6/60 + y**5/9 - y**4/24 - 2*y**2 - 2. Factor z(c).
-c*(c - 1)**3*(11*c - 3)/3
Let t(q) be the second derivative of -10/3*q**3 + 128*q + 175*q**2 + 0 + 1/42*q**4. Factor t(v).
2*(v - 35)**2/7
Let z(y) = -28*y**2 + 1140*y - 3280. Let o(w) = -9*w**2 + 380*w - 1094. Let i(u) = -16*o(u) + 5*z(u). Determine a, given that i(a) = 0.
3, 92
Let z(n) be the third derivative of 0*n - 156/5*n**5 + 0 - 1152*n**3 - 3*n**2 + 360*n**4 + 37/30*n**6 - 2/105*n**7. Factor z(i).
-4*(i - 12)**3*(i - 1)
Let z = 3151/62220 - 2/3111. Let u(f) be the first derivative of 1/25*f**5 - z*f**4 + 0*f + 0*f**2 - 7 - 2/15*f**3. Factor u(j).
j**2*(j - 2)*(j + 1)/5
Factor 447 + 18 - 181*n + 2*n**2 - 3*n**2 + 1090 - 1373*n.
-(n - 1)*(n + 1555)
Suppose -265*w + 14 = -263*w. Factor 63 - 153 - 10*j - w*j + 32*j + 5*j**2.
5*(j - 3)*(j + 6)
Let v be (2 + 2)/(-16) + (-3)/(-80)*12. What is j in -v + 12/5*j - 12/5*j**3 + 36/5*j**4 - 7*j**2 = 0?
-1, 1/6, 1
Let 74/13*r - 30/13 + 166/13*r**2 + 8/13*r**4 + 70/13*r**3 = 0. What is r?
-5, -3, -1, 1/4
Let u(r) = 18*r + 204. Let s(g) = -53*g - 609. Let w(y) = -3*s(y) - 8*u(y). Let t be w(-13). Find j such that -6/7*j + t - 3/7*j**2 = 0.
-2, 0
Let o(n) be the third derivative of n**8/4032 - n**7/144 - 73*n**5/20 - 7*n**2 - 13. Let g(k) be the third derivative of o(k). Determine z, given that g(z) = 0.
0, 7
Suppose -2*l + t + 58 = 0, 2*t = -2*t + 16. Solve -615*f**4 + 4*f**5 + 16 + 65*f**2 + 618*f**4 + l*f**3 - 5*f**5 + 54*f = 0.
-2, -1, 8
Let c be -3*1/(-6)*-22. Let m be -3 + (-101)/c - 4/22. Factor -4*b**2 - 16*b - 2*b - 8 + m*b.
-4*(b + 1)*(b + 2)
Let z(d) = 3*d**2 - 4*d - 4. Let k be z(2). Suppose k*x - 18 = -6*x. Factor -2*f + f**2 + f - 149*f**3 + 0*f**2 + 150*f**x - f**4.
-f*(f - 1)**2*(f + 1)
Let x(o) be the first derivative of -o**4/66 - 14*o**3/33 - 49*o**2/11 - 207*o - 239. Let m(a) be the first derivative of x(a). Factor m(t).
-2*(t + 7)**2/11
Let f(h) be the third derivative of -h**6/60 - h**5/2 + 4*h**4/3 + 80*h**3 - 5076*h**2. Suppose f(y) = 0. Calculate y.
-15, -4, 4
Let h(w) be the second derivative of 1/66*w**4 - 1/33*w**3 + 0*w**2 + 22*w + 0. Factor h(l).
2*l*(l - 1)/11
Factor -1610*l + 13225/4 + 507/2*l**2 - 14*l**3 + 1/4*l**4.
(l - 23)**2*(l - 5)**2/4
Factor -645 - l**2 - 738*l + 82 + 3*l**2 + l**2 - 178.
3*(l - 247)*(l + 1)
Let f be 8/(-45) - (48 + (-1694)/35). Factor 2/3*c - 8/9*c**3 + 4/9 + 0*c**4 + f*c**5 - 4/9*c**2.
2*(c - 2)*(c - 1)*(c + 1)**3/9
Let x(l) be the second derivative of 0*l**5 + 1/45*l**6 + 1/18*l**3 + 0*l**2 - 1/126*l**7 - 1/18*l**4 + 31*l + 0. Factor x(o).
-o*(o - 1)**3*(o + 1)/3
Let o(g) be the first derivative of -g**6/30 - g**5/20 + g**4/2 + 2*g**3/3 - 4*g**2 - 14*g - 46. Let m(z) be the first derivative of o(z). Factor m(d).
-(d - 2)*(d - 1)*(d + 2)**2
Let c(y) = -5*y**4 + 27*y**3 - 129*y**2 - 283*y + 2546. Let a(k) = -2*k**4 + 2*k**3 - 3*k**2 + 2*k - 1. Let g(m) = 4*a(m) - 2*c(m). Find j such that g(j) = 0.
-4, 7, 13
Factor 25*u**4 - 48*u**3 + 180*u + 74*u**2 - 22*u**4 + 81*u**2 - 26*u**2.
3*u*(u - 12)*(u - 5)*(u + 1)
Suppose -65*p + 63*p = 420. Let m be (-3)/42 + (-85)/p. Factor -m*r**2 + 0 + 2*r.
-r*(r - 6)/3
Let h be 2/(-5)*3370/(-6066). Let m(f) be the first derivative of 14 + 4/27*f**3 + 0*f + h*f**2. What is o in m(o) = 0?
-1, 0
Let b = -333 + 330. Let l be b + 3/((-99)/(-105)). Find x such that 16/11 + 12/11*x**2 - l*x**3 - 24/11*x = 0.
2
Let i(h) be the first derivative of -5*h**6/24 + 128*h**5 - 4320. Determine m, given that i(m) = 0.
0, 512
Let y(t) = 6*t - 75. Let v be y(13). Suppose v*o + 4 = 5*h, -h + 0*h = -o. Solve -3327 + k**3 - 5*k**h + 3327 = 0.
0, 5
Let v = -2197 + 6599/3. Let b = 28/9 + -16/9. Factor -v + 4/3*i**2 + b*i.
4*(i - 1)*(i + 2)/3
Let g(q) be the third derivative of q**5/60 + 7*q**4/4 + 36*q**3 - 3*q**2 + 174. Factor g(u).
(u + 6)*(u + 36)
Let x(n) = 2*n**3 + 32*n**2 + 109*n + 67. Let m(h) = 5*h**3 + 70*h**2 + 220*h + 135. Let b(c) = 3*m(c) - 5*x(c). Factor b(q).
5*(q + 1)*(q + 2)*(q + 7)
Suppose 32*n**2 + 50*n**5 - 52*n**5 - 70*n**3 + 36*n**3 - 14*n**3 + 18*n**4 = 0. Calculate n.
0, 1, 4
Let r(y) = y**2 + 3*y + 4. Let v(c) = c**3 + c**2 - c - 2. Let i be v(0). Let d be r(i). Factor 4*m**2 - 2 - 4*m**2 + 0*m**2 - 2*m + 2*m**3 + 2*m**d.
2*(m - 1)*(m + 1)**2
Factor -42*y - 90*y - 23946*y**2 - 342*y + 219 +