) be the third derivative of 1/30*j**6 + 0 + 1/15*j**5 + 2*j**3 + x*j**2 - 5/6*j**4 + 0*j. Let o(l) = 0. What is l?
-3, 1
Let f(h) = -h**3 - 12*h**2 - 9*h + 1. Let k be (20/(-15))/(20/(-45)). Let l(b) = 238*b**2 - 238*b**2 - b - 1 - b**k. Let x(z) = 2*f(z) + 2*l(z). Factor x(p).
-4*p*(p + 1)*(p + 5)
Let m = -913859 + 913863. Factor -22/3*x**2 - 49/3*x**m + 4*x - 28*x**3 - 1/3.
-(x + 1)**2*(7*x - 1)**2/3
Factor 0 + 1/4*n**4 + 23*n**2 - 13/2*n**3 - 22*n.
n*(n - 22)*(n - 2)**2/4
Let c be 0/(-1 - 4) - (15/10 - 3). Determine s so that -81/4*s**4 + 159/2*s**3 - 30*s**2 + c*s**5 - 225*s - 375/4 = 0.
-1, -1/2, 5
Factor 15*n**5 + 1080*n**2 - 56*n**4 - 4278*n**3 + 972*n - 11*n**5 + 4326*n**3.
4*n*(n - 9)**2*(n + 1)*(n + 3)
Let u(v) = -v**3 + 9*v + 17*v**2 - 56*v**2 + 36 + 16*v**2 + 20*v**2 + 3*v. Let p be u(-3). Factor p + 0*z + 3/2*z**2 - 3/2*z**3.
-3*z**2*(z - 1)/2
Let d(x) be the first derivative of 5*x**3/3 - 15670*x**2 + 49109780*x + 4585. Let d(y) = 0. Calculate y.
3134
Let t = 158871 + -158869. Suppose 3/4*v**t + 0 + 3/8*v**3 - 3*v = 0. What is v?
-4, 0, 2
Determine u so that -22/15*u - 12/5 - 2/15*u**2 = 0.
-9, -2
Factor -3/5*t**3 + 8379/5*t**2 + 5846448/5 - 5854824/5*t.
-3*(t - 1396)**2*(t - 1)/5
Let v(j) be the second derivative of -j**5/70 + 2*j**4/3 + j**3/21 - 4*j**2 - 442*j. Factor v(l).
-2*(l - 28)*(l - 1)*(l + 1)/7
Let b(n) be the first derivative of -6472 - n**3 + 6592 + 9*n**2 - 8*n - 19*n. Factor b(c).
-3*(c - 3)**2
Let w(q) = -2*q**3 + 6*q**2 + 4*q - 8. Suppose -17*g = 51 + 17. Let o(k) = 3*k**3 - 6*k**2 - 5*k + 8. Let j(i) = g*o(i) - 5*w(i). Factor j(u).
-2*(u - 1)*(u + 2)**2
Let t = 189465 + -189465. Factor t + 156/7*v - 6/7*v**2.
-6*v*(v - 26)/7
Determine l so that 2/15*l**4 + 0 - 4/3*l**3 - 28/15*l + 46/15*l**2 = 0.
0, 1, 2, 7
Let a(m) = 62*m - 372. Let n be a(6). Let u(z) be the second derivative of 1/20*z**5 + 35/6*z**3 - 11/12*z**4 - 25/2*z**2 + n + 14*z. Factor u(g).
(g - 5)**2*(g - 1)
Let q = -741/1111 + -3/202. Let u = q - -101/11. What is h in -2*h**5 + 0 + u*h**4 + 13/2*h**2 - h - 12*h**3 = 0?
0, 1/4, 1, 2
Let d(t) be the second derivative of -t**5/6 + t**4/4 + 7*t**3/6 + t**2/3 + 2*t - 124. What is k in d(k) = 0?
-1, -1/10, 2
Let n(j) be the first derivative of 16/5*j + 46/25*j**5 - 20 - 62/15*j**3 + 7/15*j**6 + 22/5*j**2 - 29/10*j**4. Determine h so that n(h) = 0.
-4, -1, -2/7, 1
Determine j, given that 78*j + 0 + 2/17*j**3 + 112/17*j**2 = 0.
-39, -17, 0
Let o(c) be the first derivative of -2*c**3/39 - 422*c**2/13 - 89042*c/13 - 1047. Factor o(y).
-2*(y + 211)**2/13
Let o(f) be the second derivative of -5/42*f**4 + 0 - 2/7*f**2 + 11/21*f**3 - 15*f. Suppose o(x) = 0. Calculate x.
1/5, 2
Let v be 10/((-6)/(-1 + -2)). Suppose 126*i**5 + 25*i**4 - 57*i**5 - 45*i**2 - 64*i**v + 15*i**3 = 0. What is i?
-3, 0, 1
Suppose -6*g = 8*g + 84. Let y be 6/(-9) - 22/g. Factor -5*v - 1/3*v**y - 7/3*v**2 - 3.
-(v + 1)*(v + 3)**2/3
Suppose -2*f + 6 = 0, 5*z - 90 = 2*f + 34. Let n(i) be the first derivative of 0*i + z + 0*i**4 - 3/25*i**5 + 0*i**2 + 0*i**3. Factor n(m).
-3*m**4/5
Suppose 76*j = 107 + 165 - 44. Let o(q) be the first derivative of -2*q**2 - 4/15*q**j - 28 - 24/5*q. Find w such that o(w) = 0.
-3, -2
Let u(d) be the second derivative of -d**5/90 + 67*d**4/54 - 1088*d**3/27 - 1156*d**2/9 + 891*d - 3. Determine j, given that u(j) = 0.
-1, 34
Let o(z) be the third derivative of -z**8/2016 - 2*z**7/315 - z**6/40 - z**5/90 + 19*z**4/144 + z**3/3 + 30*z**2 - 7*z. Determine r so that o(r) = 0.
-4, -3, -1, 1
Suppose 50*s = 54*s + 3*u - 26, -u + 8 = s. Suppose -1/4*m**s + 3*m + 7 = 0. Calculate m.
-2, 14
Let m(w) be the second derivative of -w**4/6 - 11*w**3/3 + 210*w**2 - 656*w. Solve m(d) = 0.
-21, 10
Let f(p) be the first derivative of -4*p**5/5 + 165*p**4 - 12312*p**3 + 367416*p**2 - 1889568*p - 2063. Factor f(s).
-4*(s - 54)**3*(s - 3)
Suppose -1/2*v**2 - 137/2 - 69*v = 0. What is v?
-137, -1
Let u(l) be the first derivative of -4*l**3/3 - 162*l**2 - 2072*l - 5460. Factor u(d).
-4*(d + 7)*(d + 74)
Let b = -205799 + 1234799/6. Solve -2/3*a**2 + 1/6*a**3 - b*a + 0 = 0 for a.
-1, 0, 5
Suppose 0 = 2*j + 4, -u + 31 = -5*j - 303. Factor 2106 - 480*r + 5*r**2 + 6632 - u + 4058 - 952.
5*(r - 48)**2
Let n(m) = 10*m**3 - 75*m**2 - 505*m + 5. Let p(z) = 9*z**3 - 76*z**2 - 509*z + 4. Let o(t) = 4*n(t) - 5*p(t). Factor o(s).
-5*s*(s - 21)*(s + 5)
Let o be ((-14)/15)/(-7) + (-326)/2445. Let 2/21*x**2 + o + 4/21*x = 0. Calculate x.
-2, 0
Suppose -2*s = q - 126, -s - 56 = -q + 61. Suppose 7*c**3 + 2*c**2 + q*c**4 - 126*c**4 + c**3 + 6*c**2 = 0. What is c?
-2/3, 0, 2
Suppose 10*w - 1800 = -2*w. Let x be w/80 + 1/8. Solve -119*a**2 - 4*a**3 + 119*a**x + 5*a**5 + 5*a - 6*a**3 = 0.
-1, 0, 1
Let x be (-238446)/(-312)*(-16)/6. Let z = -26488/13 - x. Factor 4/13 + z*h + 2/13*h**2.
2*(h + 1)*(h + 2)/13
Let t be 35/49 + (-39)/91. Suppose -4*z = -14*z. Determine d, given that z*d + t*d**3 + 0 + 1/7*d**2 + 1/7*d**4 = 0.
-1, 0
Let b be (-3786277)/2475 - (-2)/(-25). Let p = b - -1530. Factor 1/9*j**2 + 0 - p*j**3 + 2/9*j.
-j*(j - 2)*(j + 1)/9
Let h(n) = -45*n**3 - 30*n**2 - 95*n + 45. Let l(t) = 2*t**3 - 2*t**2 + 5. Let i(j) = h(j) + 25*l(j). Factor i(p).
5*(p - 17)*(p - 1)*(p + 2)
Let t(r) = 11*r**2 - 591*r + 3600. Let m be t(7). Determine o, given that 2/5 - 22/5*o - 4*o**4 + 22/5*o**3 + 18/5*o**m = 0.
-1, 1/10, 1
Let l(d) be the first derivative of -145 + 453/8*d**2 - 51/2*d + 9/4*d**3. Suppose l(o) = 0. What is o?
-17, 2/9
Suppose 26*m**3 - 363 + 239*m + 3*m**2 - 23*m**3 - 401*m - 201*m = 0. What is m?
-11, -1, 11
Let z(m) be the second derivative of -81*m + 3/11*m**2 + 0 - 1/22*m**4 + 1/110*m**5 - 1/33*m**3. Determine t, given that z(t) = 0.
-1, 1, 3
Suppose -16*a - j + 17 = -12*a, 9 = a + 5*j. Suppose 3*d - 6*d + 5*f = -27, -a*f + 4 = 4*d. Factor 1/2*t**3 - 1/2*t + 1/4*t**d - 1/4*t**2 + 0.
t*(t - 1)*(t + 1)*(t + 2)/4
Let n(l) be the first derivative of -2*l - 1/2*l**2 + 1/6*l**3 + 1/16*l**4 - 34. Find p such that n(p) = 0.
-2, 2
Factor -40118*n**2 + 20058*n**2 - 125 + 20059*n**2 - 30*n.
-(n + 5)*(n + 25)
Determine y, given that -1176*y**2 - 7776 + 150*y**3 - 5400*y - 236*y**3 + 23*y**4 - 25*y**4 = 0.
-18, -4, -3
Let z(t) = -15*t**3 - 275*t**2 + 270. Let r(h) = 8*h**3 + 138*h**2 + h - 135. Let m(l) = -5*r(l) - 3*z(l). Find g such that m(g) = 0.
-27, -1, 1
Factor 1688 + 1682/3*r - 2/3*r**2.
-2*(r - 844)*(r + 3)/3
Let w(v) be the third derivative of v**8/2352 + 3*v**7/98 - 71*v**6/420 + 8*v**5/35 - 2*v**2 - 1477*v. Let w(o) = 0. Calculate o.
-48, 0, 1, 2
Factor 68*t**2 - 2/7*t**3 - 25250/7*t - 375000/7.
-2*(t - 125)**2*(t + 12)/7
Suppose 10*b + 10 + 10 = 0. Let x be (7/b - 0)*(-528)/154. Determine w, given that -6*w - x*w**2 - 5 + 13*w**2 + 0*w + 10*w = 0.
-5, 1
Let w(p) be the second derivative of 1/210*p**6 + 0 + 3/28*p**4 + 0*p**2 - 9*p + 3/70*p**5 + 0*p**3. Factor w(h).
h**2*(h + 3)**2/7
Suppose 5880 = 440*a + 304*a + 236*a. Factor -9/4*y**2 - 3/4*y**3 + a + 9/2*y.
-3*(y - 2)*(y + 1)*(y + 4)/4
Let h(c) = -403*c + 116. Let v be h(-4). Let f be (1/9)/(64/v). Find d such that -2/7*d**2 - 5/7*d**f + 2/7 + 5/7*d = 0.
-1, -2/5, 1
Let p(f) be the first derivative of -4/3*f**3 + 0*f + 1/30*f**5 - 11 + 13/2*f**2 + 0*f**4. Let l(b) be the second derivative of p(b). Factor l(i).
2*(i - 2)*(i + 2)
Let a(t) be the second derivative of t**10/30240 + t**9/5040 - t**8/672 - 5*t**4/2 + 51*t. Let l(n) be the third derivative of a(n). Factor l(i).
i**3*(i - 2)*(i + 5)
Let z(c) be the third derivative of -c**7/6300 + c**4/24 + 25*c**3/6 - 52*c**2. Let n(i) be the second derivative of z(i). Factor n(a).
-2*a**2/5
Factor -39 + 19/2*c - 1/2*c**2.
-(c - 13)*(c - 6)/2
Let p(c) be the third derivative of 4/15*c**5 + 0*c + 10/3*c**3 + 0 - 1/60*c**6 + 19/12*c**4 - 142*c**2. Determine f, given that p(f) = 0.
-1, 10
Let z(u) be the first derivative of -336*u**2 - 1/4*u**4 - 74 - 50/3*u**3 - 1152*u. Factor z(y).
-(y + 2)*(y + 24)**2
Let n(v) be the first derivative of 2/9*v**3 - 4/3*v + 86 + 1/3*v**2. Factor n(q).
2*(q - 1)*(q + 2)/3
Let h be (224/256)/((-2)/(-16)). Factor 2*u - 26*u**2 + 57*u**2 + 8*u + 9 - 30*u**2 + h.
(u + 2)*(u + 8)
Let r(h) be the third derivative of 5*h**8/2688 + 19*h**7/1680 + 11*h**6/960 - 23*h**5/480 - h**4/12 + h**3/12 + 1157*h**2. Suppose r(j) = 0. W