/20 + 19*n**4/16 - 7*n**3/12 + n**2/8 + 435*n. Solve l(i) = 0.
1/8, 1/4, 1
Factor 21/2*y**3 + 3/4*y**5 + 0*y - 45/4*y**4 + 0*y**2 + 0.
3*y**3*(y - 14)*(y - 1)/4
Let m = -123165 + 863732/7. Let j = m + -225. Suppose -j*b + 0 + 13/7*b**2 = 0. What is b?
0, 2/13
Let q(b) be the third derivative of 0*b + 1/6*b**4 + 3*b**2 + 7 + 1/300*b**5 - 1/600*b**6 + 0*b**3. Let q(a) = 0. What is a?
-4, 0, 5
Let g(v) = v**2 + 12*v - 26. Let q be g(-14). Let d be (10/(120/(-54)))/((-1)/q). Let -7*m + d*m - m**2 - 4 + 3*m = 0. What is m?
1, 4
Suppose 0 = 3*s - 37 + 25. Find j, given that 60*j**s + 321 - 278 - 1043 + 205*j**3 + 10*j**2 - 900*j + 5*j**5 = 0.
-5, -2, 2
Let g(x) be the second derivative of -1/90*x**5 + 11*x - 9*x**3 - 13*x**2 + 0 - 1/2*x**4. Let l(t) be the first derivative of g(t). Let l(n) = 0. What is n?
-9
Let u(y) be the second derivative of 3*y**7/7 + 29*y**6/10 - 159*y**5/20 - 16*y**4 + 6*y**3 - 13938*y. Find i such that u(i) = 0.
-6, -1, 0, 1/6, 2
Let w(i) be the second derivative of i**9/6048 + i**8/1680 - i**7/420 - i**6/90 + 18*i**3 + 24*i - 1. Let q(r) be the second derivative of w(r). Factor q(b).
b**2*(b - 2)*(b + 2)**2/2
Let w(y) be the first derivative of 22*y**5/85 + 49*y**4/34 + 2*y**3/17 - 117*y**2/17 + 108*y/17 + 2559. Find l such that w(l) = 0.
-3, 6/11, 1
Let y be ((-1)/(-7))/(5160/33712) - (-2)/3. What is z in 0 + 12/5*z - y*z**2 - 13/5*z**3 - 3/5*z**4 = 0?
-3, -2, 0, 2/3
Factor -76/11 + 8/11*z**2 + 2*z.
2*(z - 2)*(4*z + 19)/11
Let y be 8 + (-1775)/100 - -10. Factor -13/4 - y*j**2 - 7/2*j.
-(j + 1)*(j + 13)/4
Let a(g) = -g**4 - g**3 - 3*g**2 - g - 2. Let q(z) = -3*z**4 + 22*z**3 + 73*z**2 + 52*z - 4. Let h(l) = 2*a(l) - q(l). Determine v so that h(v) = 0.
-2, -1, 0, 27
Factor 23/8*m**3 - 5/4*m**2 - 3/2*m**4 - 1/8*m + 0.
-m*(m - 1)**2*(12*m + 1)/8
Let t(q) be the second derivative of 3872/3*q**2 + 2 - 176/9*q**3 + 66*q + 1/9*q**4. Solve t(a) = 0.
44
Suppose -h - 5*y = 3*h - 2432, -h = -y - 599. Let q = h + -4219/7. Factor 0 - 2/7*a**2 + q*a.
-2*a*(a - 1)/7
Let h = 15088 - 15086. Let y(t) be the first derivative of 36 + 1/20*t**4 + 11/5*t + 23/10*t**h + 13/15*t**3. Factor y(a).
(a + 1)**2*(a + 11)/5
Suppose 12*u = -6287 - 21433. Let g = 6931/3 + u. Factor -1/6*h + g - 1/6*h**2.
-(h - 1)*(h + 2)/6
Let w(y) be the first derivative of -y**7/1260 - y**6/360 + y**5/120 - 6*y**2 - 4*y - 77. Let o(v) be the second derivative of w(v). Find i such that o(i) = 0.
-3, 0, 1
Let w be ((-2)/(-5))/(-3 - (-7479)/2505). Let q = w + 85/3. Factor 1/2 + 3/2*f**2 + 3/2*f + q*f**3.
(f + 1)**3/2
Factor 1290*h**2 + 2064 - 252*h**2 + 3*h**3 - 2*h**3 + 3100*h - h**3 + 2*h**3.
2*(h + 1)*(h + 2)*(h + 516)
Let -39*t**2 - 100*t**3 + 83*t**2 - 75*t**3 + 45*t**4 + 66*t**2 - 5*t**5 + 25*t**4 = 0. What is t?
0, 1, 2, 11
Let q(l) be the second derivative of 1/18*l**3 + 0 - 1/18*l**4 + 1/3*l**2 + 22*l - 1/60*l**5. Determine f so that q(f) = 0.
-2, -1, 1
Let s(t) = 5*t**3 - 36*t**2 + 63*t - 32. Let u = 151 - 148. Let i(a) = 4*a**3 - 36*a**2 + 64*a - 32. Let p(q) = u*i(q) - 2*s(q). Factor p(n).
2*(n - 16)*(n - 1)**2
Let 138/7*s**3 + 40/7 - 144/7*s - 74/7*s**4 + 6/7*s**5 + 34/7*s**2 = 0. Calculate s.
-1, 1/3, 1, 2, 10
Find i, given that 491/2*i + 1/4*i**2 + 241081/4 = 0.
-491
Let y(z) = -z**3 - 2*z**2 - 2*z + 1. Let h(d) = 5*d**4 + 432*d**3 + 2269*d**2 - 5701*d + 3063. Let s(w) = -h(w) - 17*y(w). Solve s(g) = 0 for g.
-77, -8, 1
Suppose -2*m - 6*m + 496 = 0. Let o = 64 - m. Find b such that -4*b**4 - o*b**5 + 4*b**3 - b**2 - 4*b**2 + 0*b - 4 - 2*b + 13*b**2 = 0.
-2, -1, 1
Let n(z) = -123*z**2 - 77016*z + 123572091. Let t(v) = 27*v**2 + 19254*v - 30893025. Let c(d) = 2*n(d) + 9*t(d). Factor c(k).
-3*(k - 3209)**2
Solve -7/11*k**3 - 6/11 + 7/11*k - 3/11*k**4 + 9/11*k**2 = 0 for k.
-3, -1, 2/3, 1
Let t(a) be the third derivative of a**5/45 + 22*a**4/9 + 56*a**3/3 + 152*a**2 + 20. Suppose t(n) = 0. What is n?
-42, -2
Let m be 9/(-12) + (-195)/(-52). Let b be (-177)/(-5) - (-4)/(-10). Factor 0*g**3 - 10*g + b*g**2 - 7*g**m - 6*g**3 - 2*g**3.
-5*g*(g - 2)*(3*g - 1)
Let n(k) = k**3 + 14*k**2 - 97*k + 86. Let y(t) = -2*t**3 - 13*t**2 + 99*t - 87. Let b(j) = 3*n(j) + 4*y(j). Factor b(r).
-5*(r - 3)*(r - 1)*(r + 6)
Let b(x) be the second derivative of x**6/30 - 7*x**5/5 + 49*x**4/4 + 911*x - 2. Factor b(o).
o**2*(o - 21)*(o - 7)
Factor -155/4*g + 5/4*g**3 - 15*g**2 + 105/2.
5*(g - 14)*(g - 1)*(g + 3)/4
Let b(j) be the third derivative of -j**7/105 - 353*j**6/60 - 176*j**5/15 - 6*j**2 + 402. Factor b(n).
-2*n**2*(n + 1)*(n + 352)
Let d be (-8)/(-3 + 40/16). Let d*v**3 - 6*v**4 + 0*v**4 + 21*v**2 - 7*v**2 + 8*v**5 + 4*v**4 - 24*v**4 - 12*v = 0. Calculate v.
-3/4, 0, 1, 2
Let a(v) be the second derivative of -v**4/18 - 2*v**3 - 27*v**2 + 3*v + 384. Factor a(y).
-2*(y + 9)**2/3
Let d(x) be the first derivative of x**8/5040 - x**6/540 + x**4/72 - x**3/3 + 3*x**2/2 - 44. Let o(h) be the third derivative of d(h). Factor o(b).
(b - 1)**2*(b + 1)**2/3
Let a(i) be the first derivative of 48*i + 9*i**3 + 3/4*i**4 + 36*i**2 - 88. Factor a(m).
3*(m + 1)*(m + 4)**2
Suppose -3*o + 0*b - 13 = 2*b, 5*o = 5*b + 70. Factor d**2 - 3/2 - 1/4*d - 1/4*d**o.
-(d - 3)*(d - 2)*(d + 1)/4
Factor 33*q + 63/8*q**2 + 67/2 - 1/8*q**3.
-(q - 67)*(q + 2)**2/8
Factor -2/3*c**3 + 578/3*c + 146 + 46*c**2.
-2*(c - 73)*(c + 1)*(c + 3)/3
Let w be (-4)/7*(-84)/24. Factor 36*z**4 + 67*z**2 + 15*z**3 - 95*z - 41*z**4 - 100*z**3 + 118*z**w.
-5*z*(z - 1)**2*(z + 19)
Let i(h) = -5*h**2 + h + 2. Let x(q) = -35*q**2 - 1064*q - 2108. Let n(w) = 6*i(w) - x(w). Factor n(b).
5*(b + 2)*(b + 212)
Let 186/11*a + 96/11 + 90/11*a**2 = 0. Calculate a.
-16/15, -1
Let s = 283 + -281. Factor 34 - 16*i + 6 + 4*i**s + 8 + 48*i.
4*(i + 2)*(i + 6)
Solve 0*c**2 + 0 + 0*c - 46/5*c**3 + 2/5*c**4 = 0.
0, 23
Let d(k) = -3*k**3 + 336*k**2 - 924*k + 549. Let o(u) = u**3 - 126*u**2 + 347*u - 206. Let g(y) = -8*d(y) - 21*o(y). Find p, given that g(p) = 0.
1, 2, 11
Let s(m) be the second derivative of -121*m**7/63 + 275*m**6/9 - 1696*m**5/15 + 550*m**4/9 - 32*m**3/3 + 1047*m. Find j such that s(j) = 0.
0, 2/11, 3, 8
Let s(y) be the second derivative of -y**5/10 - 19*y**4/6 + 116*y**3/3 - 96*y**2 - 3606*y. Factor s(f).
-2*(f - 4)*(f - 1)*(f + 24)
Let n be 120/18 - (-2)/(-3). Factor -24*s**2 - 98 - n*s**2 - 2*s**3 - 54*s - 48*s - 24*s.
-2*(s + 1)*(s + 7)**2
Factor 26/7*d + 0 + 18/7*d**2.
2*d*(9*d + 13)/7
Let f = -1729 - -920. Let l = -7279/9 - f. Factor -2/3*n**3 + 0 + l*n**5 + 0*n - 4/9*n**4 + 0*n**2.
2*n**3*(n - 3)*(n + 1)/9
Let r be (-11)/(-1) + (580/90)/((-74)/111). Factor r - 2*d + 2/3*d**2.
2*(d - 2)*(d - 1)/3
Let m(u) be the third derivative of u**8/3360 + u**7/2100 + 421*u**2. Factor m(b).
b**4*(b + 1)/10
Factor 5*i**3 + 0*i + 0 + 1/3*i**4 - 76/3*i**2.
i**2*(i - 4)*(i + 19)/3
Let w(d) be the first derivative of 0*d + 1/4*d**4 + 27/2*d**2 - 1/20*d**5 - 1/2*d**3 + 21. Let x(n) be the second derivative of w(n). Factor x(o).
-3*(o - 1)**2
Suppose 18*j - 22 = 7*j. Factor 20*z**3 + z**4 - 2 - 1210*z + 1232*z + 2 - 43*z**j.
z*(z - 1)**2*(z + 22)
Let w(h) be the first derivative of 0*h + 221 - 3/4*h**4 + 0*h**2 - h**3. Find s such that w(s) = 0.
-1, 0
Let r(l) be the third derivative of 0*l - 105*l**2 + 0 - 5/2*l**4 - 14/9*l**5 + 0*l**3 - 1/24*l**6. Factor r(c).
-5*c*(c + 18)*(3*c + 2)/3
Let v = 5/7 + 25/14. Let x be 15/6*16/20. Determine s so that -1 + v*s**x + 3/2*s = 0.
-1, 2/5
Let q = 20626 + -20622. Let h(s) be the third derivative of 0*s**3 - 1/72*s**q + 0 - 1/24*s**5 + 43*s**2 + 0*s. Find n such that h(n) = 0.
-2/15, 0
Factor -1046/9*d + 110/3 + 166/9*d**2 + 2/3*d**3.
2*(d - 5)*(d + 33)*(3*d - 1)/9
Let q(u) be the second derivative of 0*u**3 - 17 + 2*u + 1/42*u**4 - 1/7*u**2. What is y in q(y) = 0?
-1, 1
Factor -355914 - 37206*r**2 + 36611850*r**5 - 112*r**4 - 36611851*r**5 + 100692*r - 3984*r**3 + 168525*r.
-(r - 3)*(r - 2)*(r + 39)**3
Suppose 3*q + 5*u = 5*q - 20, -2*u = 2*q + 8. Suppose o + 3*v - 43 = q, 0*o - 5*v = -3*o + 73. Factor -s + 14*s**3 + 13*s - 48*s**2 + o*s**3.
3*s*(3*s - 2)*(5*s - 2)
Let m = 644 + -646. Let y be 14/105 - (m + 88/60). Let -2/3*q**2 + 0 + y*q = 0. What is q?
0, 1
Let g be (-6018)/24072*(4/(-6) - (-4)/(-12) - 1). Let n = 16/5 - 17/10. Factor -1 + n*u - g*u**2.
-(u - 2)*(u - 1)/2
Suppose a + 105 = 5*h, 4*h + 5*a 