/25 - 2*n**4/45 - 8*n**3/45 - 101*n - 116. Let m(v) be the first derivative of j(v). Factor m(l).
2*l*(l - 1)*(l + 2)**3/15
Let f be 216*33/3960 - (-66)/(-45). Solve -19/3*y**2 + 100/3 + f*y**3 + 80/3*y = 0 for y.
-1, 10
Let t be -2 + 6 + 24/(-5 - 1). Let o(m) be the second derivative of 1/48*m**4 + 1/12*m**3 + 1/8*m**2 + m + t. Factor o(f).
(f + 1)**2/4
Let g(o) = 3*o**3 - 58*o**2 + 45*o + 348. Let h(j) = -15*j**3 + 289*j**2 - 228*j - 1743. Let s(r) = -11*g(r) - 2*h(r). Factor s(t).
-3*(t - 19)*(t - 3)*(t + 2)
Suppose 0 = 4*k + 5*i - 53, i = 2*k - 24 - 13. Suppose k*u = 39 - 5. Factor u*w + 2*w**2 + 2/3*w**3 + 2/3.
2*(w + 1)**3/3
Let g(s) be the first derivative of s**4/6 + s**3 - 3*s - 58. Let j(k) be the first derivative of g(k). Suppose j(b) = 0. What is b?
-3, 0
Let o(y) be the first derivative of 3*y**4/4 - 30*y**3 + 549*y**2/2 - 462*y + 7241. Factor o(f).
3*(f - 22)*(f - 7)*(f - 1)
Find y such that y**3 - 466*y**2 + 213*y**2 + 240*y**2 = 0.
0, 13
Let a(v) be the first derivative of -v**5/100 - 3*v**4/20 + 7*v**3/10 + 69*v**2/2 + 32. Let r(f) be the second derivative of a(f). Factor r(d).
-3*(d - 1)*(d + 7)/5
Let v be ((-2)/4)/(3/(-6)). Let f be 16 - ((v - 5) + 3). Suppose 22*n**5 + 42*n**4 - f*n**4 - 27*n**5 - 40*n**3 + 20*n**2 = 0. Calculate n.
0, 1, 2
Let x be 3/(-54)*(-243)/405. Let z(l) be the second derivative of 8*l + 0*l**2 + 0 - x*l**5 - 1/3*l**4 - 5/9*l**3. Solve z(f) = 0.
-5, -1, 0
Find b such that -50/17*b**2 - 8/17*b - 2/17*b**5 + 40/17 + 10/17*b**4 + 10/17*b**3 = 0.
-2, -1, 1, 2, 5
Factor -3*g**3 - 21*g - 26/3 + 1/3*g**4 - 47/3*g**2.
(g - 13)*(g + 1)**2*(g + 2)/3
Let y(t) be the second derivative of t**6/15 + 27*t**5/10 - 14*t**4/3 - 20*t + 1. Factor y(v).
2*v**2*(v - 1)*(v + 28)
Factor 3/2*u**2 - 81/2*u + 0.
3*u*(u - 27)/2
Factor 873 - 3*t**2 - 2646 - 1857 + 8*t**2 - 1053*t - 752*t.
5*(t - 363)*(t + 2)
Suppose 13*x + 503 = 1543. What is b in 4*b**4 - 28*b + 43*b**2 - x*b**2 + 32 + b**2 + 28*b**3 = 0?
-8, -1, 1
Let w(q) = 6*q**2 + 3*q - 3. Let l(c) = c + 4. Let o be l(16). Let v = 22 - o. Let p(f) = -5*f**2 - 3*f + 2. Let t(n) = v*w(n) + 3*p(n). Factor t(s).
-3*s*(s + 1)
Let o = 164 + -152. What is v in -3*v + 4*v**3 - v - o*v = 0?
-2, 0, 2
Let k(p) = -17*p**3 + 564*p**2 - 3337*p + 4871. Let y(f) = -4*f**3 + 141*f**2 - 834*f + 1218. Let j(r) = 3*k(r) - 11*y(r). Factor j(q).
-(q - 9)**2*(7*q - 15)
Let j(y) be the first derivative of y**6/15 - 12*y**5/25 - 27*y**4/10 + 224*y**3/15 + 276*y**2/5 + 288*y/5 + 2335. Determine m, given that j(m) = 0.
-4, -1, 6
Let x(n) = n**4 + n**3 + n**2 + 3. Let c(h) = 4*h**3 + 18*h**2 - 24*h + 6. Let z(y) = c(y) - 2*x(y). Factor z(f).
-2*f*(f - 2)**2*(f + 3)
Let u be (-11118)/27795 - (-66)/5. Factor -1/5*l**2 - 1024/5 + u*l.
-(l - 32)**2/5
Let b(w) be the second derivative of w**5/70 + 967*w**4/42 + 11155*w**3 + 33327*w**2 - 1562*w. Let b(x) = 0. Calculate x.
-483, -1
Suppose -126*p = -137*p + 44. Let n(i) be the first derivative of -i + 1/8*i**p + 8 - 2/3*i**3 + 5/4*i**2. Suppose n(y) = 0. What is y?
1, 2
Suppose -10*u + 7444 = -8*u. Factor 5*q + 28 + 21*q - u*q**2 + 3720*q**2.
-2*(q - 14)*(q + 1)
Suppose -16*s**4 - 8/7*s**2 + 0 - 2/7*s**5 - 472/7*s + 354/7*s**3 = 0. What is s?
-59, -1, 0, 2
Let -4*z**4 + 5047 - 384*z**3 + 1180*z**2 - 2525 - 792*z - 2522 = 0. What is z?
-99, 0, 1, 2
Suppose -2/3*m**4 + 10/3*m**3 + 8/3 - 2*m**2 - 10/3*m = 0. What is m?
-1, 1, 4
Find p such that 2771/3*p**4 - 2561326/3*p**3 - 1575216721/3*p - 1/3*p**5 + 791444810/3*p**2 + 786330467/3 = 0.
1, 923
Solve -276*i**2 - 2966 + 1961 - 8109*i + 9432 - 39*i**2 - 3*i**3 = 0 for i.
-53, 1
Let h(p) be the second derivative of -30*p + 1/200*p**5 - 11/20*p**2 + 23/60*p**3 + 0 - 13/120*p**4. What is i in h(i) = 0?
1, 11
Let h = 617 + -607. Suppose -h = 4*u - 5*x, -16*u = -12*u - x + 2. Solve -1/9*c**3 + 0 + 0*c + u*c**2 + 2/9*c**4 - 1/9*c**5 = 0.
0, 1
Let g(q) = 3*q**2 + 5*q - 10. Let f(o) be the second derivative of -o**4/12 + o**2 + 102*o. Let l(d) = 2*f(d) + g(d). Factor l(z).
(z - 1)*(z + 6)
Solve -2/15*q**2 + 418/15 - 16/15*q = 0 for q.
-19, 11
Let r(o) be the first derivative of -7*o**5/180 + o**4/8 - o**3/9 + 67*o**2/2 - 83. Let p(x) be the second derivative of r(x). Let p(i) = 0. What is i?
2/7, 1
Let n(w) = 5*w - 25. Let f be n(11). Suppose 0 = 4*o - 5*p - f, o - p = p + 9. Factor 12*z**2 + 5*z**4 + 2*z**5 - 17*z**2 + 3*z**o - 5*z**3.
5*z**2*(z - 1)*(z + 1)**2
Suppose 18*n + 348 = 24*n. Let c be (n*(-7)/140 + 3)*2. Factor 5*v**2 - 19/5*v**3 - c*v**5 + 4/5 - 16/5*v + 7/5*v**4.
-(v - 2)**2*(v - 1)**3/5
Suppose -5*s + 95 = -0*s. Suppose -y + g = -0*y - s, 0 = y - 2*g - 17. What is p in -10*p + y - 4*p**3 - 8*p**2 + 30*p + 3 = 0?
-3, -1, 2
Suppose 6/11*h**4 + 62/11*h**3 + 32/11 + 130/11*h**2 + 108/11*h - 2/11*h**5 = 0. Calculate h.
-2, -1, 8
Factor 91221*s + 3689405*s**2 + 6*s**4 - 91221*s - s**4 - 8590*s**3.
5*s**2*(s - 859)**2
Let x be 30/252*6 + 104/168. Let a(r) be the third derivative of -13/30*r**5 + 25*r**2 + 0*r - 1/105*r**7 + 1/10*r**6 - x*r**3 + r**4 + 0. Factor a(n).
-2*(n - 2)**2*(n - 1)**2
Determine q, given that 1660*q - 196*q**4 - 25712*q**3 + 3502 + 24056*q**3 - 4*q**5 + 398 - 2236*q**2 - 1468*q**2 = 0.
-39, -5, -1, 1
Factor -1/10*y**5 + 23/5*y**4 + 966/5*y**2 + 0 - 882/5*y - 613/10*y**3.
-y*(y - 21)**2*(y - 2)**2/10
Suppose 8*w - 651 = -171. Let j = w + -291/5. Find c, given that j + 1/5*c**2 - 6/5*c = 0.
3
Find b, given that 0 + 0*b + b**2 + 4/5*b**3 - 1/5*b**4 = 0.
-1, 0, 5
Factor 43/4 + 11*i - 11*i**3 - 1/4*i**4 - 21/2*i**2.
-(i - 1)*(i + 1)**2*(i + 43)/4
Suppose -65 = 2*u + 9*k + 48, 58 = 3*u - 4*k. Factor -5/3*r**u - 1/3*r**3 + 2*r + 0.
-r*(r - 1)*(r + 6)/3
Let o(w) be the second derivative of -2*w**7/21 - 26*w**6/15 - 41*w**5/5 - 47*w**4/3 - 12*w**3 - 1069*w. Find k such that o(k) = 0.
-9, -2, -1, 0
Factor 0 + 4*z**2 - 130/9*z - 2/9*z**3.
-2*z*(z - 13)*(z - 5)/9
Let b be ((-96)/(-28) + -6)*1288/(-544). Let t = -78/17 + b. Determine c, given that 3/4*c**2 - 2 + 1/4*c**3 - t*c = 0.
-4, -1, 2
Let y(v) = -8*v**4 + 109*v**3 + 628*v**2 + 516*v. Let w(j) = 15*j**4 - 219*j**3 - 1257*j**2 - 1032*j. Let t(g) = 5*w(g) + 9*y(g). What is u in t(u) = 0?
-4, -1, 0, 43
Let b(v) = -2*v**3 + 14*v**2 + 6*v + 13. Let x be b(7). Solve -x*q**4 - q**5 - 4*q**5 - 110*q**3 - 120*q**2 - 71*q**4 - 45*q + 86*q**4 = 0.
-3, -1, 0
Suppose 9*k - 8*k + 5*b + 12 = 0, 4*k + 2*b = -12. Let m be (k/(-35))/((-7)/(-48 + -1)). Factor 1/5*f**2 + 0 + m*f - 1/5*f**4 + 1/5*f**5 - 3/5*f**3.
f*(f - 2)*(f - 1)*(f + 1)**2/5
Let o(j) be the first derivative of -j**4/16 - 43*j**3/4 - 5547*j**2/8 + 176*j + 19. Let s(m) be the first derivative of o(m). Find t such that s(t) = 0.
-43
Let y = 102 - 100. Suppose -3*l + 10 = -y*w, -2*l + 22 = -3*w + 7. Factor -2/7*i**4 + 0 + 8/7*i**3 + l*i - 8/7*i**2.
-2*i**2*(i - 2)**2/7
Let s(u) = -2*u**4 + 14*u**3 + 47*u**2 - 24*u + 10. Let w(t) = t**4 - 6*t**3 - 28*t**2 + 12*t - 6. Let c(z) = -6*s(z) - 10*w(z). Factor c(o).
2*o*(o - 12)*(o - 1)*(o + 1)
Let t = 791 - 775. Let v(b) be the third derivative of -t*b**2 + 0*b**4 + 0 + 0*b**3 - 1/150*b**6 + 0*b**5 + 1/1680*b**8 + 1/350*b**7 + 0*b. Factor v(x).
x**3*(x - 1)*(x + 4)/5
Let y(c) be the first derivative of -15*c**2/2 + 32*c - 137. Let d be y(2). Solve 0*p**d + 1/6*p**5 - 1/6*p**4 + 0 + 0*p - 1/3*p**3 = 0 for p.
-1, 0, 2
Let z = 4 + -1268. Let t = -1262 - z. Factor -32/13*c**t + 28/13*c**3 + 2/13*c**5 - 12/13*c**4 + 18/13*c - 4/13.
2*(c - 2)*(c - 1)**4/13
Let s = 60/5797 - -75241/11594. Suppose s*a - 5 - a**2 - 1/2*a**3 = 0. Calculate a.
-5, 1, 2
Suppose -3*u - 10 = -4*t, u + 4*t - 6 = 3*t. Let g = u + -2. Let -5*f + g*f + f - 11*f + 3*f**5 + 12*f**4 - 6 + 12*f**3 - 6*f**2 = 0. What is f?
-2, -1, 1
Let g(w) be the first derivative of -3*w**4/4 + 170*w**3 - 9758. Let g(b) = 0. What is b?
0, 170
Factor -1/6*l**2 + 26/3*l + 0.
-l*(l - 52)/6
Let s(i) be the first derivative of -11*i**6/720 - i**5/120 - 179*i**3/3 + 48. Let m(n) be the third derivative of s(n). Factor m(d).
-d*(11*d + 2)/2
Let a(r) be the second derivative of -1/30*r**3 - 1/10*r**2 + 85*r + 1/100*r**5 + 1/60*r**4 + 0. Factor a(k).
(k - 1)*(k + 1)**2/5
Factor -7*d**4 + 49*d - 3*d**3 + 16*d + 19*d**2 - 51*d + d**5.
d*(d - 7)*(d - 2)*(d + 1)**2
Suppose 4*q - 2 = 6. Suppose 5*y - 27 = -q, 193 = 2*k + 