+ 13)/6
Let n(k) be the third derivative of 5/4*k**4 - 1/40*k**6 + 25*k**2 + 1/20*k**5 + 0 + 0*k + 4*k**3. Find t, given that n(t) = 0.
-2, -1, 4
Let p(x) be the third derivative of x**5/60 - 139*x**4/48 + 23*x**3/4 - 3*x**2 - 68*x. Determine g so that p(g) = 0.
1/2, 69
Let r(b) be the second derivative of -2*b - 1/2*b**3 - b**2 + 2 - 1/12*b**4. Factor r(t).
-(t + 1)*(t + 2)
Let j = 281921 - 281919. Let 2/11*c**j + 54/11 + 56/11*c = 0. Calculate c.
-27, -1
Let f be -6 - (-1 + 834/(-90) + 4). Let y(v) be the first derivative of 3/10*v**4 - 8/9*v**3 + 13/15*v**2 - 9 - f*v. Factor y(a).
2*(a - 1)**2*(9*a - 2)/15
Let q(h) be the first derivative of 2*h**3/39 - 211*h**2/13 + 1656*h/13 + 8063. Factor q(x).
2*(x - 207)*(x - 4)/13
Let z be ((-396)/10)/(168/(-60)). Let r = -14 + z. Find a such that -25/7*a**5 + r*a**3 - 4/7 - 41/7*a**2 + 24/7*a + 45/7*a**4 = 0.
-1, 2/5, 1
Let x(r) = -23*r + 650. Let q be x(27). Let d(m) = -2*m**2 + 54*m + 118. Let g be d(q). Find f, given that 1/2*f**2 + g*f - 2 - 1/2*f**3 = 0.
-2, 1, 2
Let r(l) = -2*l**3 - 18*l**2 - 3*l - 25. Let g be r(-9). Suppose -s = 2*z + g*z, 0 = -4*z. Suppose s + 0*m - 3/4*m**2 - 3/4*m**3 = 0. What is m?
-1, 0
Suppose 5*a = 5*m - 161 + 216, 4*m + 23 = -3*a. Let n(c) be the first derivative of -40/3*c**a + 50*c**2 + 42 + 5/4*c**4 - 80*c. Factor n(j).
5*(j - 4)*(j - 2)**2
Let a be (-1870)/32725 + 94/420. Determine c so that -13/6 - 2*c + a*c**2 = 0.
-1, 13
Let s(t) be the first derivative of 3*t**4/4 - 7*t**3/6 - t**2 - 65*t + 203. Let p(m) be the first derivative of s(m). Factor p(o).
(o - 1)*(9*o + 2)
Let d = 9555/38222 + 1/76444. Factor 1/8*u**2 + 0 - d*u.
u*(u - 2)/8
Let g(q) = 5*q**3 + 24*q**2 - 3*q - 34. Let i = -459 - -463. Let t(f) = -f**2 + 2*f + 1. Let o(c) = i*t(c) + g(c). Determine h, given that o(h) = 0.
-3, -2, 1
Let b(g) be the second derivative of -g**4/27 - 208*g**3/27 + 379*g. Factor b(x).
-4*x*(x + 104)/9
Let d(w) be the first derivative of w**5/135 + w**4/12 - 5*w**3/27 + 17*w**2 - 55. Let i(l) be the second derivative of d(l). Factor i(h).
2*(h + 5)*(2*h - 1)/9
Let h(n) = -n**3 + 23*n**2 - 33*n - 23. Let y be h(21). Solve -z**3 + y*z**2 + 1 + z**4 - 1 - 167*z**2 + z**5 = 0.
-1, 0, 1
Factor 69060*i**2 - 34531*i**2 - 284*i - 34533*i**2.
-4*i*(i + 71)
Let n(w) be the first derivative of 0*w**2 - 2645/12*w**3 - 115/8*w**4 + 0*w - 124 - 1/4*w**5. Factor n(h).
-5*h**2*(h + 23)**2/4
Let l = -1935 - -3770. Let t = -7333/4 + l. Determine b, given that -1/4*b**4 + 0*b + 0 + 2*b**2 - t*b**3 = 0.
-8, 0, 1
Let 15238*r + 2885*r**2 - 119638*r - 12992 + 30025 + 8887 - 15*r**3 - 5*r**3 = 0. What is r?
1/4, 72
Let u(l) be the second derivative of 52*l - 1/60*l**4 + 1/5*l**2 + 1/30*l**3 + 0. Factor u(q).
-(q - 2)*(q + 1)/5
Let m(z) = 2*z**2 + 2*z - 1. Let o(a) = -17*a**2 - 29*a - 4. Let v be (3/18)/((-9)/(-270)). Let q(p) = v*o(p) + 40*m(p). Factor q(k).
-5*(k + 1)*(k + 12)
Let p(z) be the first derivative of -5/4*z**4 + 24 + 25/2*z**3 + 0*z - 37/2*z**2 + 1/20*z**5. Let x(o) be the second derivative of p(o). Factor x(j).
3*(j - 5)**2
Let d = 74 - 95. Let h = 24 + d. Factor 2*z**3 - 3*z**2 - 2*z**2 + 3*z**h.
5*z**2*(z - 1)
Suppose 8*m = 3*j + 7*m + 39, -39 = 4*j + 3*m. Let h be (8/(-7))/(j/14). Determine d, given that 2/3 - 2/3*d**5 + 4/3*d**3 + 2/3*d**4 - h*d**2 - 2/3*d = 0.
-1, 1
Factor -1/2*y**2 - 31/2*y - 42.
-(y + 3)*(y + 28)/2
Let k(p) be the first derivative of p**4/16 - 85*p**3/12 - 87*p**2/4 - 1168. Factor k(c).
c*(c - 87)*(c + 2)/4
Suppose 29*i = -42*i + 507 - 365. Solve 3/2*a + 0 - 3/8*a**3 + 9/8*a**i = 0.
-1, 0, 4
Suppose 0 = 5*i + 4*m + 3715, 4146 = -4*i + 5*m + 1174. Let d = i + 2230/3. Factor -1/3*n + 1/3*n**3 + d*n**4 - n**2 + 2/3.
(n - 1)**2*(n + 1)*(n + 2)/3
Let k = -6187 - -6202. Let m(c) be the third derivative of 0*c - 1/6*c**3 + 1/120*c**5 + 0 - k*c**2 - 1/48*c**4. Factor m(p).
(p - 2)*(p + 1)/2
Let q(s) = 50*s**2 - 1025*s + 5. Let f(u) = -47*u**2 + 1026*u - 6. Let i(p) = 5*f(p) + 6*q(p). Determine k so that i(k) = 0.
0, 204/13
Let f be 1*(4/(-6) - 8/(-3)). Solve 48*j - 28 - 3*j**3 - 32 - 3*j**2 + 0 + 0*j**f = 0 for j.
-5, 2
Let d(m) be the first derivative of -m**5/60 - m**4/36 + m**3/18 + m**2/6 - 18*m + 21. Let h(x) be the first derivative of d(x). Solve h(l) = 0.
-1, 1
Suppose 235*s - 58*s - 354 = 0. Factor -4332/5 - 3876/5*f - 3/5*f**4 - 639/5*f**s + 102/5*f**3.
-3*(f - 19)**2*(f + 2)**2/5
Let -160/9 - 10/3*m**2 + 64/3*m - 2/9*m**3 = 0. What is m?
-20, 1, 4
Let s(y) be the first derivative of -96*y + 73 - 2/9*y**3 + 8*y**2. Determine q so that s(q) = 0.
12
Suppose -4*z + f - 13 = -3*z, 4*f = 2*z + 32. Let i(t) = 2*t**2 + 20*t + 2. Let q be i(z). Factor 2/5 + 0*p - 2/5*p**q.
-2*(p - 1)*(p + 1)/5
Let y be 50/(-20)*(-7 + 902/130). Solve -y*t**2 - 10/13*t + 0 = 0 for t.
-5, 0
Let t(x) be the first derivative of 7*x**6/1020 + 2*x**5/85 - x**4/51 + 19*x**2/2 - 23. Let m(z) be the second derivative of t(z). Factor m(w).
2*w*(w + 2)*(7*w - 2)/17
Suppose -24068*l - i = -24063*l - 59, 13*l = -2*i + 145. Factor 3/8*g**3 - l*g**2 + 0 - 39/2*g.
3*g*(g - 26)*(g + 2)/8
Factor -5*j**3 - 170*j**2 + 440 + 264*j**2 + 197*j**2 + 263*j + 139*j**2 + 612*j.
-5*(j - 88)*(j + 1)**2
Determine t so that 104*t**2 - 29*t**2 + 636*t - 43*t**2 - 33*t**2 + 637 = 0.
-1, 637
Let s(m) be the third derivative of -m**8/84 + 2*m**7/105 + 11*m**6/10 - m**5/3 - 44*m**4/3 + 40*m**3 + 2*m**2 + 3979. Let s(v) = 0. What is v?
-5, -2, 1, 6
Let s(u) be the third derivative of 54*u + 1/560*u**8 - 1/40*u**4 - 2*u**2 + 1/50*u**5 + 0*u**6 + 0 - 1/175*u**7 + 0*u**3. Let s(b) = 0. What is b?
-1, 0, 1
Let -7 + 319 + 217*g**2 - 472*g - 55*g**2 - 2*g**3 = 0. What is g?
1, 2, 78
Let a(x) be the third derivative of -121*x**6/360 + 451*x**5/180 - 35*x**4/9 + 8*x**3/3 - 166*x**2 + 6*x. Factor a(q).
-(q - 3)*(11*q - 4)**2/3
Let b = 114961 - 114961. Factor 10/3*r + b + 2/9*r**3 - 16/9*r**2.
2*r*(r - 5)*(r - 3)/9
Let h be (-170)/490*28 - 12/(-1). Determine j so that -h + 2/7*j**4 + 12/7*j**2 + 10/7*j**3 - 8/7*j = 0.
-2, 1
Factor -10*t**3 - 133*t - 128*t + 65*t**2 + 171*t.
-5*t*(t - 2)*(2*t - 9)
Suppose -17*j = -6*j - 2*j - 0*j. Let o(t) be the second derivative of 0*t**3 + j + 0*t**2 + 1/8*t**5 - 9*t - 5/24*t**4. Factor o(i).
5*i**2*(i - 1)/2
Let d(r) = -r**3 + 27*r + 32*r + 36*r - 94*r. Let o(a) = -4*a**3 - 88*a**2 + 4*a + 88. Let c(w) = -2*d(w) + o(w). Factor c(q).
-2*(q - 1)*(q + 1)*(q + 44)
Let k(b) be the third derivative of b**5/180 + 43*b**4/72 + 140*b**3/9 + 34*b**2 + 8. What is l in k(l) = 0?
-35, -8
Let z(n) = 3*n**2 + 15*n + 2. Let g be z(-5). Suppose -2*y**4 - 14*y**g - 5*y**2 + 2*y**3 - 4*y - 12 + y**4 + 2*y**4 + 32*y = 0. What is y?
-6, 1, 2
Let n(u) be the first derivative of -2/33*u**3 + 2/11*u + 0*u**2 + 90. Factor n(j).
-2*(j - 1)*(j + 1)/11
Let y be 5/3 + 2/6. Let l be -1 + -3 - (19 - (-360)/(-15)). Factor -3*m**2 + 0 - m**y - l + 5.
-4*(m - 1)*(m + 1)
Let g = -16 - 39. Let a = -53 - g. Factor -30*j + 0*j**2 - 5 + a*j**2 + j**2 + 80.
3*(j - 5)**2
Let s(u) be the first derivative of -u**4/14 + 26*u**3/7 + 216*u**2/7 + 352*u/7 - 2220. Let s(b) = 0. Calculate b.
-4, -1, 44
Factor -550*x + 2*x**2 - 209 + 1329 - 572.
2*(x - 274)*(x - 1)
Let j be (-126)/56 + ((-6)/(-24) - 114/(-24)). Suppose 1/2*q**3 + 0 + 3*q + j*q**2 = 0. What is q?
-4, -3/2, 0
Let f be (-4)/(-102)*(227 + -211 - (-2 - -6)). Determine h so that -2/17*h**2 + 10/17*h - f = 0.
1, 4
Let w(r) = -r**4 + r**2 + r - 1. Let z be 52/286 - (-84)/22. Let q(n) = 4*n**3 + 8*n**2 - 14*n + 2. Let o(f) = z*w(f) + 2*q(f). Solve o(c) = 0.
-2, 0, 1, 3
Let w(p) be the third derivative of -1 + 1/15*p**6 - 7/30*p**5 + 20*p**2 + 0*p + 1/15*p**7 + 0*p**3 - 1/3*p**4. Factor w(l).
2*l*(l - 1)*(l + 1)*(7*l + 4)
Suppose z = 0, 42*i - z + 4 = 44*i + 3*z. Let a(r) be the second derivative of 0 - 1/60*r**4 + 0*r**3 - 22*r + 1/10*r**i. Factor a(b).
-(b - 1)*(b + 1)/5
Let n(u) = u**2 + 16*u. Let w(t) = -3*t**2 - 47*t. Let b(d) = 7*n(d) + 2*w(d). Factor b(f).
f*(f + 18)
Let c(t) be the third derivative of t**6/360 + 7*t**5/36 + 125*t**4/24 + 125*t**3/2 - 44*t**2 - 4. Factor c(u).
(u + 5)*(u + 15)**2/3
Suppose 0 = 16*u - 3867 - 613. Let c = u + -277. Solve -1/2*l**c + 0*l**2 + 2/3*l + 1/6*l**4 + 0 = 0.
-1, 0, 2
Find u, given that 9/2*u**2 - 168 - 3/2*u**3 + 81*u = 0.
-7, 2, 8
Let