5*i**6 + 8/3*i**3 + 6 + 21/5*i**5 - 16*i**4 + 0*i**2 - 3*i. Let m(a) = 0. What is a?
-2, 0, 2/23, 1
Let s(z) be the third derivative of z**5/60 + 7*z**4/24 - 22*z**3/3 - 38*z**2 + 21*z. Suppose s(b) = 0. Calculate b.
-11, 4
Let b be (77/14 + -5)/(-8*(-7)/48). Find q, given that -b*q**2 - 9/7*q + 12/7 = 0.
-4, 1
Factor -43*t**3 - 99179/3*t + 1/3*t**4 + 1927*t**2 + 137842.
(t - 41)**3*(t - 6)/3
Let n(q) be the third derivative of -1/600*q**6 + 0 - 7/60*q**4 + 0*q**3 - 98*q**2 + 1/20*q**5 + 0*q. Factor n(i).
-i*(i - 14)*(i - 1)/5
Let h be ((-504)/(-128))/(-21) - (-9)/((-3888)/(-1185)). Factor 11/9*x + 2/9*x**3 + h*x**2 + 0.
x*(x + 11)*(2*x + 1)/9
Let d(x) be the third derivative of -238*x**2 + 2 + 19/4*x**4 + 0*x + 37/2*x**3 + 1/20*x**5. Solve d(q) = 0.
-37, -1
Let w(s) be the first derivative of 0*s**4 - 2*s**3 + 0*s + 0*s**2 - 1/450*s**6 - 1/50*s**5 - 20. Let p(x) be the third derivative of w(x). Factor p(c).
-4*c*(c + 3)/5
Let v = 10659/4 - 10653/4. Solve -v*o**3 - 19/6*o - 7/2*o**2 - 1 - 1/6*o**4 = 0.
-6, -1
Let o(q) be the third derivative of 25*q**6/48 + 11785*q**5/8 - 5895*q**4/2 + 7075*q**3/3 - 20*q**2 + q + 44. Factor o(c).
5*(c + 1415)*(5*c - 2)**2/2
Let -c**4 + 432*c**3 - 48*c**2 - 57*c**2 + 438*c + 978*c**2 - 2*c**4 = 0. What is c?
-1, 0, 146
Suppose -16*c = -150 - 378. Suppose c*k - 10 = -10. What is a in k*a - 3/2*a**3 + a**4 + 0 + 1/2*a**5 + 0*a**2 = 0?
-3, 0, 1
Let y = -11/2 - -149/27. Let c(n) be the second derivative of 0 - 15*n + 1/9*n**3 + y*n**4 + 2/9*n**2. Find d, given that c(d) = 0.
-2, -1
Let l(k) be the first derivative of -k**4/16 + 7*k**3/4 - 37*k**2/4 - 60*k + 167. Solve l(d) = 0.
-2, 8, 15
Let v(s) = -44*s**3 + 339*s**2 - 194*s - 115. Let h(a) = -15*a**3 + 113*a**2 - 64*a - 38. Let m(o) = -7*h(o) + 2*v(o). Factor m(x).
(x - 6)*(x - 1)*(17*x + 6)
Let i = 105 - 185. Let h be -2*((-2)/(-5) + 6552/i). Find o, given that -181*o - 5 + h*o + 10*o**2 + 1 = 0.
-1/5, 2
Factor -31/2*i**2 - 1/2*i**3 - 550 - 160*i.
-(i + 10)**2*(i + 11)/2
Let y(a) be the first derivative of -1/2700*a**6 - 1/20*a**4 - 1/150*a**5 + 0*a - 3 - 2*a**3 + 0*a**2. Let r(w) be the third derivative of y(w). Factor r(l).
-2*(l + 3)**2/15
Let v(i) = i**3 - 8*i**2 - 6*i - 22. Let c be v(9). Find s, given that -93*s**2 - 8*s + 98*s**2 + 3*s - c*s = 0.
0, 2
Let g be (5488/(-588)*(-4)/(-210))/((-78)/15 + 5). Factor -g*b**3 + 2/3*b**2 + 40/9*b + 25/9 + 1/9*b**4.
(b - 5)**2*(b + 1)**2/9
Let i(p) = -9*p**4 + 135*p**3 - 375*p**2. Let b(q) = 16*q**4 - 269*q**3 + 748*q**2. Let y(v) = 3*b(v) + 5*i(v). Determine a so that y(a) = 0.
0, 3, 41
Let z(c) be the second derivative of c**6/10 - 81*c**5/2 + 67*c**4 + 135*c**3 - 807*c**2/2 - 894*c. Let z(v) = 0. Calculate v.
-1, 1, 269
Let t be 3/((3 - -1)/4). Suppose -3*d - 3 = 0, p = 2*d - 5*d + t. Factor -p*h**2 - h**2 - h**2 + 8*h**3 + 4*h**2 - 8*h + 6 - 2*h**4.
-2*(h - 3)*(h - 1)**2*(h + 1)
Let l = -109 - -209. Suppose 3*r + l = 5*c + 4*r, 4*c - 4*r = 80. Factor -58*v**4 + 26*v**4 - 6*v**2 - 25*v**3 + 7*v**5 + c*v**4.
v**2*(v - 3)*(v + 1)*(7*v + 2)
Let t(o) be the second derivative of -o**4/12 - 2*o**3 - 10*o**2 + 310*o - 4. Suppose t(l) = 0. What is l?
-10, -2
Let l(o) be the first derivative of -2*o**5/5 + 69*o**4/2 - 132*o**3 + 234. Factor l(c).
-2*c**2*(c - 66)*(c - 3)
Let u(y) be the second derivative of -y**4/20 - 27*y**3/5 - y + 29. Factor u(q).
-3*q*(q + 54)/5
Let j(x) = x**2 - 61*x + 38. Let c be j(38). Let p = 836 + c. Find a such that 16/9 + p*a - 4/3*a**2 + 4/9*a**3 = 0.
-1, 2
Let p(g) = -61*g**2 - 47*g + 89. Let r(b) = 204*b**2 + 140*b - 266. Let i(f) = 20*p(f) + 6*r(f). Factor i(u).
4*(u - 23)*(u - 2)
Let z(s) = -s**2 + 11*s - 1. Let y(p) = -2*p**3 + 30*p**2 - 36*p + 62. Let f(d) = y(d) + 10*z(d). Factor f(q).
-2*(q - 13)*(q + 1)*(q + 2)
Let x(z) be the first derivative of -z**4/16 - 39*z**3/4 - 405*z**2 + 2700*z - 565. Suppose x(o) = 0. What is o?
-60, 3
Let -32 - 216*g**2 + 115*g**3 - 8*g**5 + 30*g - 29*g**5 + 114*g - 23*g**3 + g**5 + 48*g**4 = 0. Calculate g.
-2, 2/3, 1
Suppose 3 + 3 = 2*t. Solve -2*d**3 - 19*d**5 + t*d**3 - 2*d**4 + 20*d**5 = 0 for d.
0, 1
Let m(w) be the third derivative of -w**8/112 - 59*w**7/840 - 11*w**6/80 + 11*w**5/240 + w**4/16 + 1015*w**2. Find g, given that m(g) = 0.
-3, -2, -1/4, 0, 1/3
Let s be 1*-5 - 3*8/12. Let u be 16/6*(-42)/s. What is q in -u - 733*q**4 - 4*q**2 + 735*q**4 + 12*q + 18*q**2 - 12*q**3 = 0?
-1, 1, 2, 4
Let y(d) be the second derivative of d**6/2160 + d**5/360 + d**3 - d**2/2 + 7*d. Let q(j) be the second derivative of y(j). Factor q(i).
i*(i + 2)/6
Factor -3*o**3 - 23042*o + 1230*o**2 - 8819*o - 153760 - 23612*o - 18927*o - 2*o**3.
-5*(o - 124)**2*(o + 2)
Let x(l) = -l**3 + 11727*l**2 - 8369*l - 3347. Let p(s) = -s**3 - 5863*s**2 + 4186*s + 1674. Let b(j) = 5*p(j) + 2*x(j). Factor b(m).
-(m - 1)*(m + 838)*(7*m + 2)
Suppose 0 = 4*l + 3*c - 100, 9*l - 13*l - c = -92. Let o(f) = -3*f**2 + 62*f + 90. Let r be o(l). Find g such that -r*g - 6/5 - 14/15*g**2 - 2/15*g**3 = 0.
-3, -1
Suppose 0*y + 23248 = 8*y. Factor -2906 + 11*x**3 + y + x**3 + 8*x - 28*x**2.
4*x*(x - 2)*(3*x - 1)
Suppose 0 = -38*k + 42*k + 4. Let h be ((-70)/(-21) + -3)/(k/(-15)). Find s, given that 18*s**2 + 5*s**2 + 30 - 15*s**3 + h*s**4 - 38*s**2 + 35*s = 0.
-1, 2, 3
Let u(l) be the first derivative of l**5/5 + 17*l**4/4 + 29*l**3 + 127*l**2/2 + 56*l + 602. Factor u(i).
(i + 1)**2*(i + 7)*(i + 8)
Let k(v) = 3*v**2 + 2468*v + 19554. Let d be k(-8). Solve 3/4*s - 3/2*s**3 - 3*s**d + 3/2 + 3/4*s**5 + 3/2*s**4 = 0.
-2, -1, 1
Let i(h) be the second derivative of -h**4/4 - h**3/2 + 135*h**2 + 393*h. Find j, given that i(j) = 0.
-10, 9
Let h(f) = -2*f + 50. Let l be h(22). Suppose 7*u**2 + 7*u**2 + 3*u**3 - l*u**3 - 3*u**2 + 4*u**3 + 10*u = 0. Calculate u.
-10, -1, 0
Let l(d) be the second derivative of d**6/165 - 179*d**5/110 + 59*d**4/22 + 179*d**3/33 - 178*d**2/11 - 249*d - 14. Suppose l(a) = 0. Calculate a.
-1, 1, 178
Let b(s) = -2. Let i = 110 + -116. Let c(p) = 2*p**3 + 4*p**2 - 14*p + 2. Let v(w) = i*b(w) + 2*c(w). Factor v(d).
4*(d - 1)**2*(d + 4)
Let q(d) = 2*d**3 + 9*d**2 - d. Let b(z) = 3*z**4 + 1849*z**3 + 3030*z**2 + 1248*z. Let f(k) = 5*b(k) + 40*q(k). Let f(t) = 0. Calculate t.
-620, -1, -2/3, 0
Let d(o) be the first derivative of 12 + 20*o - 1/6*o**3 + 1/48*o**4 + 1/2*o**2. Let j(a) be the first derivative of d(a). Find c, given that j(c) = 0.
2
Let d be (0/4)/(-34 + 26). Let k(a) be the third derivative of 0*a**3 + 1/105*a**7 + 0 + 0*a + 15*a**2 + 1/120*a**5 + d*a**4 - 1/48*a**6. Factor k(p).
p**2*(p - 1)*(4*p - 1)/2
Let f(x) = 2*x**2 + 2*x + 2. Let c(p) = -5*p**2 + 4270*p - 1520834. Let u(h) = -c(h) - f(h). What is k in u(k) = 0?
712
Suppose 6 = w + 2. Let 10*p + 15*p**2 + 75*p**w - 80*p**3 - 2370 + 2370 - 20*p**5 = 0. Calculate p.
-1/4, 0, 1, 2
Factor 3/8*a**3 + 5692239816 + 5571/2*a**2 + 6896898*a.
3*(a + 2476)**3/8
Let g(q) = q - 15. Let y(j) = j**3 - 5*j**2 - 4*j + 3. Let m be y(6). Let r be g(m). Factor -4*n**3 + r + 20*n + 5 + 3 - n**2 - 4*n**4 + 13*n**2.
-4*(n - 2)*(n + 1)**3
Let f(d) = d**4 + d**3 - 5*d**2 + d + 1. Let y(b) = -8*b**4 + 13*b**3 - 18*b**2 - 177*b - 103. Let v(z) = -7*f(z) - y(z). Factor v(i).
(i - 16)*(i - 6)*(i + 1)**2
Let c(r) = -29*r**3 - 2*r**2 + 6*r - 7. Let k be c(2). Let m be k/(-75) - 4/30. Factor -11 - m*t + 10 + 3*t**3 - 6*t**2 + 7.
3*(t - 2)*(t - 1)*(t + 1)
What is f in -3*f**3 + 0 - 93/2*f**2 + 24*f = 0?
-16, 0, 1/2
Let u be (-8)/24 + (54/(-81) - -5). Solve 2/3*z**u + 4*z**3 + 2/3*z**2 - 16*z - 40/3 = 0.
-5, -2, -1, 2
What is g in 0 - 17/5*g**4 + 1/5*g**5 + 0*g + 74/5*g**3 - 88/5*g**2 = 0?
0, 2, 4, 11
Let c be 25 + 1125/(-40) - (0 + -3 + -2). Let o(y) be the first derivative of c*y**2 - 36 - 3/2*y + 11/4*y**3 + 3/4*y**4. Factor o(m).
3*(m + 1)*(m + 2)*(4*m - 1)/4
Let w(j) be the first derivative of j**3/9 + 51*j**2/2 + 302*j/3 - 432. Factor w(n).
(n + 2)*(n + 151)/3
Factor 0*m - 15/2*m**3 + 0 - 35/4*m**2 + 5/4*m**4.
5*m**2*(m - 7)*(m + 1)/4
Let z(c) be the third derivative of 0 + 12/5*c**5 + 0*c**6 - 2/105*c**7 + 0*c - 65*c**2 + 16/3*c**4 - 128*c**3. Factor z(v).
-4*(v - 6)*(v - 2)*(v + 4)**2
Let m(g) be the second derivative of -147/40*g**5 + 0*g**3 + g + 0*g**2 - 4/7*g**7 - 3/4*g**4 - 26/5*g**6 - 24. Factor m(h).
-3*h**2*(h + 6)*(4*h + 1)**2/2
Wh