4/3 - 2592. Solve -1/9*w**4 + 44/9*w + w**3 - 10/3*w**2 - h = 0.
2, 3
Let f(w) be the second derivative of w**7/840 - 3*w**6/80 + 7*w**5/20 - w**4/12 + 7*w**3/2 - w - 2. Let s(y) be the third derivative of f(y). Solve s(k) = 0.
2, 7
Let m(q) be the third derivative of -q**6/72 - 43*q**5/180 + 7*q**4/24 + 3*q**3/2 + 1341*q**2. What is i in m(i) = 0?
-9, -3/5, 1
Let 7*v**4 + 2*v**5 - 4*v**5 + 132*v**3 + 0*v**5 - 180*v**3 + 13*v**4 = 0. What is v?
0, 4, 6
Suppose -236*t - 518*t = 18*t + 866*t - 4914. Factor 2/9*y**t + 16/9*y + 10/9*y**2 + 8/9.
2*(y + 1)*(y + 2)**2/9
Let g be (42/(-105))/((-2)/20*2). Let l(k) = 4*k**4 - k**3 - 2*k**2 + 3*k. Let m(z) = -3*z**4 + z**3 + 2*z**2 - 2*z. Let f(o) = g*l(o) + 3*m(o). Factor f(h).
-h**2*(h - 2)*(h + 1)
Let l(t) be the second derivative of -29791*t**5/40 + 16337*t**4/4 - 8959*t**3 + 9826*t**2 - 2*t + 472. Factor l(j).
-(31*j - 34)**3/2
Suppose -7*w = 7*w - 140. Let p(y) = 16*y**3 + 52*y**2 + 86*y + 82. Let g(q) = 5*q**3 + 17*q**2 + 29*q + 27. Let x(s) = w*g(s) - 3*p(s). Factor x(k).
2*(k + 2)**2*(k + 3)
Let s(b) = -b**3 + 24*b**2 + 7*b - 32. Let m be s(23). Suppose 576*z**2 + m*z - 104*z**3 - 250*z**3 - 3*z**5 - 69*z**4 + 200*z + 6*z = 0. Calculate z.
-12, -1, 0, 2
Determine s, given that 1/7*s**5 + 237177/7*s**2 - 433/7*s**4 + 287766/7*s + 0 + 45777/7*s**3 = 0.
-3, -2, 0, 219
Solve 9/2*r**2 - 33/2 + 1/2*r**3 - 25/2*r = 0.
-11, -1, 3
Let r = -400 - -1127. Let z = 727 - r. Factor -16/3*b**3 + 0*b + 0*b**2 + z + 4/3*b**4.
4*b**3*(b - 4)/3
Suppose -z = 2*v - 23, 235*z = 237*z - 2*v + 14. Let -82/3*a**z - 44/3*a**4 + 0 + 0*a - 40/3*a**2 - 2/3*a**5 = 0. Calculate a.
-20, -1, 0
Suppose 2*a + 2 = -4*n, 0 = -5*n + a - 8 + 23. Factor n*t**2 + 5*t**3 - 18*t**2 + 2*t**2 - 5 + 15*t - t**2.
5*(t - 1)**3
Let z(r) be the third derivative of r**6/120 - r**5/4 + 31*r**4/12 - 12*r**3 + 8200*r**2. Factor z(d).
(d - 9)*(d - 4)*(d - 2)
Factor -16/7*f + 269/7*f**2 - 192/7 - 65/7*f**3 + 4/7*f**4.
(f - 8)**2*(f - 1)*(4*f + 3)/7
Factor 422/13*f**2 + 0 - 2/13*f**3 + 424/13*f.
-2*f*(f - 212)*(f + 1)/13
Let y(j) be the third derivative of j**8/30240 + j**7/15120 - j**5/12 + 5*j**4/24 + 134*j**2. Let l(v) be the third derivative of y(v). Factor l(s).
s*(2*s + 1)/3
Suppose 2*d = -5*t + 55, 2*d + 3*t - 24 = 21. Let c be 6/d - (-2)/10. Solve -c*z + 4/5 - 1/5*z**2 = 0 for z.
-4, 1
Let a(t) = 6*t**2 - 553*t + 581. Let v(w) = -90*w**2 + 194 - 90*w**2 - 184*w + 182*w**2. Let n(i) = 6*a(i) - 17*v(i). Factor n(o).
2*(o - 94)*(o - 1)
Let x(v) be the third derivative of -v**8/5376 + 5*v**7/336 + 25*v**4/6 - 2*v**2 + 10. Let f(l) be the second derivative of x(l). Factor f(b).
-5*b**2*(b - 30)/4
Let u(m) be the third derivative of m**7/70 - 23*m**6/4 + 4446*m**5/5 - 59204*m**4 + 438976*m**3 - 18*m**2 - 1. Factor u(x).
3*(x - 76)**3*(x - 2)
Let b(y) = -18*y**3 - 27*y**2 + 240*y + 66. Let d(l) = 19*l**3 + 27*l**2 - 242*l - 68. Let s(j) = 2*b(j) + 3*d(j). Factor s(u).
3*(u - 3)*(u + 4)*(7*u + 2)
Let q(y) be the first derivative of -8*y**2 - 107*y - 205. Let c be q(-7). Find d such that 0 - 24/7*d**2 - 26/21*d**4 + 2/21*d**c + 32/7*d**3 + 0*d = 0.
0, 1, 6
Let v(d) be the first derivative of d**3 - 24*d**2 + 144*d + 3396. Solve v(f) = 0 for f.
4, 12
Suppose -4*s - 8 = 0, 2*v + 2*s + 2*s = 30. Suppose 0 = 4*z + 7 - v. Factor 5*m**2 + 5*m**3 + 3*m**4 - 8*m**2 - 3*m**2 - 8*m**z.
3*m**2*(m - 2)*(m + 1)
Let o be (-90)/9 + (-7 - (-524)/24). Solve 1 + 5*z**2 - 7/6*z**3 - o*z = 0 for z.
2/7, 1, 3
Factor -34/3*n - 8/15*n**3 - 146/15*n**2 + 0.
-2*n*(n + 17)*(4*n + 5)/15
Suppose 4*h - 150 = -2*r, -4 = -r - 1. Solve 17*m + 0*m - h*m**2 + 31*m**2 - 2*m + 50 = 0.
-2, 5
Let z(g) be the second derivative of -g**7/1680 + g**6/192 - g**5/80 + 28*g**2 + 62*g. Let s(c) be the first derivative of z(c). Factor s(w).
-w**2*(w - 3)*(w - 2)/8
Let b(m) be the first derivative of -m**3/12 - 159*m**2/8 + 722. Let b(w) = 0. What is w?
-159, 0
Let b(t) be the third derivative of t**7/210 - t**6/120 - 13*t**5/60 + 25*t**4/24 - 2*t**3 - 18*t**2. Factor b(l).
(l - 3)*(l - 1)**2*(l + 4)
Suppose 2*w = -3*j - 520, -5*j = 5*w - 4*j + 1274. Let t be (-249)/332 + 1/((-40)/w). Determine g so that -t*g - 98/5 - 2/5*g**2 = 0.
-7
Let f be -15 - (-15 - (-104)/(-90)). Let l(y) be the first derivative of -5/9*y**6 + f*y**5 + 24 - 16/27*y**3 + 0*y**2 + 0*y + 2/3*y**4. Solve l(z) = 0 for z.
-2/3, 0, 2/5, 2
Let m(k) be the first derivative of k**7/1400 - k**6/200 + k**3/3 + 4*k - 35. Let d(r) be the third derivative of m(r). Determine y, given that d(y) = 0.
0, 3
Let v be (-7 - 2)/(24/(-16)). Let y be ((-4)/12)/((-1)/(v*5)). Factor 2*c**5 - 3*c**5 + 65*c + 20*c**2 + 30 - y*c**4 + 183*c**3 + 6*c**5 - 213*c**3.
5*(c - 3)*(c - 2)*(c + 1)**3
Let c(h) be the first derivative of 1/28*h**4 - 27/7*h + 27/14*h**2 - 3/7*h**3 - 116. Suppose c(t) = 0. Calculate t.
3
Let s = -205/201 - -473/201. Let h = -3 + 5. Suppose 8/3*j - s*j**h - 16/9 + 2/9*j**3 = 0. What is j?
2
Let h(y) be the first derivative of -y**7/1155 + 7*y**6/330 + 31*y**5/330 + 4*y**4/33 + 99*y**2/2 + 28. Let g(r) be the second derivative of h(r). Factor g(w).
-2*w*(w - 16)*(w + 1)**2/11
Let t(m) be the second derivative of m**4/132 - 152*m**3/3 + 127072*m**2 - m - 35. Determine f so that t(f) = 0.
1672
Let o(n) be the second derivative of -n**6/10 - 9003*n**5/5 - 27018003*n**4/2 - 54054018002*n**3 - 243324162036003*n**2/2 + 8310*n. Factor o(b).
-3*(b + 3001)**4
Let n be 29*(0/(-7) - -2). Factor n*l - 738*l - 15*l**3 + 11*l**3 - 1224*l**2 - 96 + 98*l**4 - 3*l**3 - 35*l**3.
2*(l - 4)*(l + 3)*(7*l + 2)**2
Let o(q) be the third derivative of q**8/336 + q**7/70 - 9*q**6/40 - 59*q**5/60 - 5*q**4/4 + 49*q**2 - 7*q. Factor o(p).
p*(p - 5)*(p + 1)**2*(p + 6)
Let v(c) be the first derivative of -1/72*c**4 - 1/720*c**5 - 2*c**3 + 1/2160*c**6 + 7 + 0*c + 0*c**2. Let s(k) be the third derivative of v(k). Factor s(a).
(a - 2)*(a + 1)/6
Let g = 290 + -236. Suppose 0 = 22*a + 10 - g. Let -4/5*d**3 + 12/5*d**a - 8/5*d + 0 = 0. What is d?
0, 1, 2
Let z be 0*(-10)/30*42/28. Find l, given that 1/3*l**5 + z + 11/3*l**4 + 25/3*l**2 + 0*l + 35/3*l**3 = 0.
-5, -1, 0
Let s be ((-5)/(35/(-21)))/((-99)/(-44)). Let u be 4*2/(-60)*(-7 - -2). Let -u*g + s*g**3 + g**2 - 2/3*g**5 + 0 - g**4 = 0. Calculate g.
-2, -1, 0, 1/2, 1
Let f(m) be the second derivative of -m**4/36 - 14*m**3 - 2646*m**2 + 1536*m. Determine a so that f(a) = 0.
-126
Let r = -41 + 224. Factor 50*c**3 + 77 + 21*c**4 + r + 20*c + 53*c**2 - 248*c**2 - 16*c**4.
5*(c - 2)**2*(c + 1)*(c + 13)
Let x(i) be the third derivative of 0*i**3 + 0*i + 3*i**2 + 13 + 3/4*i**4 + 1/60*i**6 + 1/3*i**5. Solve x(k) = 0.
-9, -1, 0
Let s(l) be the first derivative of 48*l + 0*l**2 + 29 + 0*l**3 - 1/4*l**5 - 5/6*l**4. Let q(a) be the first derivative of s(a). Factor q(c).
-5*c**2*(c + 2)
Let p(z) = -19*z**2 + 292*z + 530. Let a be p(17). Find r, given that -2/7*r**4 + 1/7*r + 2/7*r**2 - 1/7*r**5 + 0*r**a + 0 = 0.
-1, 0, 1
Let k(i) be the second derivative of -i**7/504 + i**6/144 + i**5/12 + 15*i**4/4 - 2*i + 12. Let c(z) be the third derivative of k(z). Factor c(l).
-5*(l - 2)*(l + 1)
Let b(w) be the second derivative of w**6/120 + 3*w**5/16 + 11*w**4/16 - 151*w**3/24 - 165*w**2/4 - 140*w - 2. Find q such that b(q) = 0.
-11, -5, -2, 3
Let l(q) be the first derivative of q**4/2 + 70*q**3/3 + 232*q**2 + 864*q - 1144. Factor l(p).
2*(p + 4)**2*(p + 27)
Factor 6110/9*v**2 - 1952/3*v + 338/9*v**3 + 152.
2*(v + 19)*(13*v - 6)**2/9
Factor -2/3*u**3 + 22/9*u + 10/3 - 14/9*u**2.
-2*(u + 1)*(u + 3)*(3*u - 5)/9
Let k(r) be the first derivative of -r**5 - 5*r**4 - 10*r**3 - 10*r**2 - 5*r + 902. Factor k(z).
-5*(z + 1)**4
Let n(f) be the third derivative of -1/60*f**6 + 0*f**3 + f**2 - 1/168*f**8 - 1/21*f**7 + 7/10*f**5 + 3/2*f**4 + 0 + 8*f. Find c such that n(c) = 0.
-3, -1, 0, 2
Let v(o) be the first derivative of 69*o**4/4 + 76*o**3 + 42*o**2 - 192*o + 798. Factor v(a).
3*(a + 2)**2*(23*a - 16)
Let u(r) = 4*r**4 + 32*r**3 + 29*r**2 - 22*r - 33. Let c(o) = 3*o**4 + 30*o**3 + 28*o**2 - 22*o - 31. Let h(s) = -5*c(s) + 4*u(s). Solve h(n) = 0.
-1, 1, 23
Let c(k) = -65*k**2 - 120*k + 115. Suppose 301 = -18*d + 931. Let w(y) = 11*y**2 + 20*y - 19. Let t(h) = d*w(h) + 6*c(h). Factor t(m).
-5*(m - 1)*(m + 5)
Let i(a) be the third derivative of -a*