*v**2 + 4*v**2 + 152*v + 114*v**2 - 4*v**3 - 23*v**2 = 0?
-2, 0, 19
Let u(b) be the third derivative of -b**7/105 + b**6/12 + 13*b**5/30 - 77*b**4/12 + 20*b**3 - b**2 - 16. Suppose u(l) = 0. Calculate l.
-4, 1, 3, 5
Let h(o) be the third derivative of -53*o**2 + 0*o - 7/132*o**4 + 0 + 1/330*o**5 + 0*o**3. Factor h(z).
2*z*(z - 7)/11
Let v(f) be the first derivative of -4*f**3/3 - 286*f**2 - 568*f + 2097. Determine k, given that v(k) = 0.
-142, -1
Let n(t) = t**2 - 23*t + 121. Let p be n(6). Suppose -11 = 4*q - p. Find d, given that 2/11*d**q + 12/11*d + 10/11 = 0.
-5, -1
Find v, given that -1/4*v**4 + 61/2*v**2 - 68121/4 + 2610*v - 10*v**3 = 0.
-29, 9
Factor 63 - 24*f**4 + 369*f**2 + 23*f**4 + 4*f**4 - 63 + 195*f**3 - 567*f.
3*f*(f - 1)*(f + 3)*(f + 63)
Let k(h) be the second derivative of -h**5/15 - 11*h**4/3 - 14*h**3 - 47*h**2/2 - 10*h + 4. Let o(b) be the first derivative of k(b). Factor o(q).
-4*(q + 1)*(q + 21)
Let x = 24357 + -24337. Let h(f) be the third derivative of 0*f + 1/9*f**4 + 2/15*f**5 + 0*f**3 - 1/12*f**6 + 4/315*f**7 - x*f**2 + 0. Factor h(d).
2*d*(d - 2)**2*(4*d + 1)/3
Let t(v) be the third derivative of 0*v**5 + 1/105*v**7 - 13*v**2 + 7 + 0*v**3 + 0*v**4 - 1/30*v**6 + 0*v. Suppose t(z) = 0. What is z?
0, 2
Let x(r) be the third derivative of r**5/60 + 289*r**4/24 + 48*r**3 + 382*r**2. Suppose x(j) = 0. What is j?
-288, -1
Let -1111*t**2 + 12856*t**2 + 96715*t + 5*t**4 + 425*t**3 - 352111 + 108221 = 0. What is t?
-29, 2
Let n(o) be the second derivative of -3*o**5/5 + 425*o**4/3 - 468*o**3 + 560*o**2 + 14*o - 25. Determine u so that n(u) = 0.
2/3, 1, 140
Let l(j) = 37*j - 34. Let q be l(2). Suppose -4*d - 32 + q = 0. Factor -1/2*u + 1/2*u**3 - 1/2 + 1/2*u**d.
(u - 1)*(u + 1)**2/2
Let u(w) be the third derivative of 0*w + 0 - 1/300*w**5 - 5/4*w**4 - 375/2*w**3 + 154*w**2. Factor u(d).
-(d + 75)**2/5
Let q(a) be the third derivative of -a**6/72 + a**5/24 + 5*a**4/4 - 20*a**3/3 + 12*a**2. Let p(v) be the first derivative of q(v). Factor p(y).
-5*(y - 3)*(y + 2)
Let u = 960/253 - -59/1518. Factor 5/3 - 1/2*y**3 + u*y + 5/3*y**2.
-(y - 5)*(y + 1)*(3*y + 2)/6
Suppose -73*n = -75*n + 4688. Factor -5*c**3 + 2560 - 441*c**2 - n*c + 744*c + 611*c**2.
-5*(c - 16)**2*(c - 2)
Let x(b) be the second derivative of -b**7/210 - 56*b**6/75 + 144*b**5/25 - 523*b**4/30 + 817*b**3/30 - 117*b**2/5 + 863*b. Suppose x(s) = 0. Calculate s.
-117, 1, 2
Let d(v) = -24*v - 22. Suppose 6 + 5 = -m + 2*s, -4*m - 14 = -2*s. Let p be d(m). Determine j, given that 16/5 + 4/5*j**4 + 72/5*j + 97/5*j**p + 36/5*j**3 = 0.
-4, -1/2
Let g(x) be the second derivative of -x**6/60 + 19*x**5/5 - 1683*x. Suppose g(i) = 0. What is i?
0, 152
Let i(f) be the second derivative of -f**6/540 + f**5/20 + 5*f**4/18 - f**3/2 + 7*f**2 + 58*f. Let t(b) be the second derivative of i(b). Factor t(k).
-2*(k - 10)*(k + 1)/3
Let -4/3*g**4 - 14/3*g**5 - 16*g + 182/3*g**3 - 116/3*g**2 + 0 = 0. Calculate g.
-4, -2/7, 0, 1, 3
Let n(p) = -p**3 - 27*p**2 - 3*p - 77. Let g be n(-27). Factor -127*y**2 - 2*y**3 - 14*y**3 + 64*y**3 + g + 20*y**3 - 20*y.
(y - 2)*(4*y + 1)*(17*y - 2)
Determine l so that -277 - 119 + 3*l**3 + 2408*l**2 + 537*l - 2552*l**2 = 0.
1, 3, 44
Suppose 1180/11 + 96/11*y**2 + 1278/11*y - 2/11*y**3 = 0. What is y?
-10, -1, 59
Suppose 3008/11*a - 2/11*a**2 - 1131008/11 = 0. What is a?
752
Suppose r + 17 = 10, 0 = -5*a + 2*r + 14. Let d(b) be the second derivative of 19/84*b**4 + 0*b**2 - 3/140*b**5 + a + 1/3*b**3 + 19*b. Let d(y) = 0. What is y?
-2/3, 0, 7
Suppose 9 = 2*g - 1. Suppose -g*q - 24 = -4*d - 3, q = 3*d - 13. Factor 10*c**4 - 4*c - 6*c**4 + 4*c**3 - 6*c**d + 2*c**2.
-2*c*(c - 2)*(c - 1)*(c + 1)
Let s(x) = -x**3 - 7*x**2 - 8*x - 4. Let t be s(-4). Let h(l) = l + 25. Let d be h(t). Factor d*b**2 - 4*b**2 - 3*b**2 + 0*b**2.
-2*b**2
Factor 57 - 341/6*h - 1/6*h**2.
-(h - 1)*(h + 342)/6
Let c(t) be the first derivative of -t**4/12 - 16*t**3/3 + 105*t**2/2 + 26950*t/3 + 8361. Factor c(z).
-(z - 22)*(z + 35)**2/3
Let y = 722511 + -6502595/9. Solve 92/9*l**2 + 11/3*l**3 + 31/3*l + 2 + y*l**4 = 0 for l.
-3, -2, -1/4
Let l(n) be the third derivative of -n**7/315 + n**6/18 - 13*n**5/90 - 5*n**4/3 - 4*n**3 + 1145*n**2 - 2*n. Suppose l(a) = 0. Calculate a.
-1, 6
Suppose 4*r - 55*p + 54*p + 1725 = 0, -2*r + p = 865. Let u = r + 433. Factor 0 - f**2 - 1/2*f - 1/2*f**u.
-f*(f + 1)**2/2
Factor 51/2*k**2 + 2 - 25/2*k**3 - 11/2*k**4 + 9/2*k**5 - 14*k.
(k - 1)**3*(k + 2)*(9*k - 2)/2
Let g be ((-77)/(-154))/((-2)/12). Let o be ((-492)/24 + 8)*g. Factor -3 + 81/2*b - o*b**2.
-3*(b - 1)*(25*b - 2)/2
Let b(r) = 399*r - 6. Let t be b(1). Let v = t - 390. Factor 4/5*z**2 + 0 - 14/5*z**v + 0*z - 8/5*z**4.
-2*z**2*(z + 2)*(4*z - 1)/5
Let a(d) = 15*d**3 + 293*d**2 - 387*d + 69. Let y(t) = -10*t**3 - 292*t**2 + 388*t - 71. Let f(n) = 3*a(n) + 2*y(n). Factor f(v).
5*(v - 1)*(v + 13)*(5*v - 1)
Let o(l) be the first derivative of l**4/4 - 83*l**3/3 - 9678. Factor o(f).
f**2*(f - 83)
Let r(n) be the second derivative of -n**4/42 + 55*n**3/21 + 72*n**2 - n - 131. Solve r(u) = 0.
-8, 63
Let -480/7*u**2 + 0 + 0*u + 237/7*u**4 - 3/7*u**5 + 246/7*u**3 = 0. What is u?
-2, 0, 1, 80
Factor -1/7*y**2 + 95/7*y - 94/7.
-(y - 94)*(y - 1)/7
Let a(v) be the second derivative of 1/14*v**4 + 1/35*v**5 + 9 - 8/21*v**3 + 3/7*v**2 - 2*v. Determine m, given that a(m) = 0.
-3, 1/2, 1
Let a(y) be the first derivative of 59535*y**3 - 945*y**2 + 5*y - 2645. Factor a(u).
5*(189*u - 1)**2
Let f = -2018 - -2020. Let r(u) be the third derivative of -14*u**f + 0*u + 0*u**3 + 1/150*u**6 + 0 - 4/75*u**5 + 2/15*u**4. Factor r(h).
4*h*(h - 2)**2/5
Let s(j) be the third derivative of -1/300*j**6 + 0 - 4/75*j**5 - 16/15*j**3 - 1/3*j**4 - 3*j + 13*j**2. Factor s(c).
-2*(c + 2)**2*(c + 4)/5
Let r(j) be the first derivative of -j**4/12 - 2*j**3/3 - 207*j + 116. Let u(l) be the first derivative of r(l). Suppose u(m) = 0. Calculate m.
-4, 0
Let t(g) = 23*g**2 + 44*g + 189. Let y be t(-5). Let f be ((-18)/8)/3 - (-1496)/y. Factor 2/9*d**f - 1/3 + 5/9*d.
(d + 3)*(2*d - 1)/9
Let d(o) be the first derivative of 0*o**4 + 0*o**2 - 2*o**3 + 14 + 1/1440*o**6 + 0*o - 1/160*o**5. Let u(w) be the third derivative of d(w). Factor u(k).
k*(k - 3)/4
Let d(u) be the second derivative of 26*u**4/9 + 2*u**3/27 - 2*u - 141. Solve d(w) = 0.
-1/78, 0
Let q(d) = 1484*d**2 + 19290*d - 24. Let c be q(-13). Factor -63/4*z + 1/2*z**c + 31/4.
(z - 31)*(2*z - 1)/4
Let k(l) be the second derivative of l**7/14 - 2*l**6/5 - 117*l**5/20 - 29*l**4/2 + 14*l**3 + 108*l**2 + 816*l. Factor k(s).
3*(s - 9)*(s - 1)*(s + 2)**3
Let z be (0 + (20 - 1958/99))*(8 - -1). Find o such that -68/5*o**3 - 14/5*o**z + 0 + 0*o + 8/5*o**5 - 46/5*o**4 = 0.
-1, -1/4, 0, 7
Let o(w) be the first derivative of 2*w**5/35 + 13*w**4/7 + 386*w**3/21 + 312*w**2/7 + 288*w/7 + 1678. Factor o(k).
2*(k + 1)**2*(k + 12)**2/7
Let q(v) be the second derivative of 3*v**7/7 + 13*v**6/20 - v**5/10 - 11*v**4/36 + v**2/12 - 1715*v + 3. Let q(l) = 0. Calculate l.
-1, -1/3, 1/4, 1/3
Determine i so that 707/4*i + 1/4*i**2 + 0 = 0.
-707, 0
Let v(f) be the first derivative of f**4/12 - 55*f**3/9 + 49*f**2 + 1906. Solve v(h) = 0 for h.
0, 6, 49
Let x(n) be the first derivative of -3993*n**5/20 - 241395*n**4/16 + 22077*n**3/2 - 6033*n**2/2 + 366*n - 456. Factor x(s).
-3*(s + 61)*(11*s - 2)**3/4
Let b = 417559 + -1252676/3. Determine s, given that -5/3*s**2 + 0 - 2*s - b*s**3 = 0.
-3, -2, 0
Factor 2/7*y**2 + 8*y + 342/7.
2*(y + 9)*(y + 19)/7
Let o(v) be the second derivative of 6/7*v**2 + 1/42*v**4 + 28*v + 0 - 5/21*v**3. Factor o(c).
2*(c - 3)*(c - 2)/7
Let u(j) be the second derivative of -1/15*j**3 - 1/60*j**4 + 2*j + 13 + 0*j**2. Factor u(q).
-q*(q + 2)/5
Let n(y) = -y**3 + y**2 - 2*y - 1. Let w(u) = 97*u**2 - 63 - 260*u - 79*u**2 - 26*u**3 - 285*u**2 - 5*u**3. Let k(s) = 22*n(s) - 2*w(s). Factor k(r).
4*(r + 13)*(2*r + 1)*(5*r + 2)
Let i(j) be the second derivative of 0 - 23/15*j**3 + 129*j - 1/6*j**4 + 2*j**2. Factor i(t).
-2*(t + 5)*(5*t - 2)/5
Suppose -4 = n + 5*f, 8 = n + 3*f - 2*f. Suppose 0 = -v + n - 7. Factor 43*j**5 - 31*j**5 + 2*j**v + 6*j**4.
4*j**4*(3*j + 2)
Let a(y) be the second derivative of y**6/180 + 11*y**5/120 + 5*y**4/24 - 29*y**3/6 - 12*y. Let l(q) be the second derivative of a(q). Factor 