(s) = 0.
0, 5
Suppose -14 = -8*j + 2. Let v = 6860 - 6860. Factor j*f**3 + 0 - 2*f**4 - 1/2*f**2 + v*f.
-f**2*(2*f - 1)**2/2
Let k(y) be the first derivative of y**4/12 + 103*y**3/9 + 247*y**2/3 + 392*y/3 + 2054. Let k(u) = 0. Calculate u.
-98, -4, -1
Let h(p) be the third derivative of p**5/360 + 77*p**4/144 - 79*p**3/18 - 3044*p**2. What is q in h(q) = 0?
-79, 2
Let p(f) be the third derivative of -f**7/315 + 7*f**6/180 + 23*f**5/30 + 113*f**4/36 + 52*f**3/9 + 4*f**2 + 50*f + 7. Let p(z) = 0. What is z?
-4, -1, 13
Suppose 5754*n - 5720*n - 1 - 60 = 7. Let 2/15*h**n + 4/5*h + 2/15*h**4 + 0 - 8/15*h**3 = 0. Calculate h.
-1, 0, 2, 3
Let o(s) be the third derivative of s**7/105 - 7*s**6/10 - 139*s**5/30 + 15*s**4 + 557*s**2. Determine r, given that o(r) = 0.
-4, 0, 1, 45
Let k(o) = -9*o**5 - 6*o**4 + 8*o**3 + 5*o + 5. Let u(q) = -5*q**5 - 4*q**4 + 4*q**3 + 3*q + 3. Let z(b) = -6*k(b) + 10*u(b). Factor z(f).
4*f**3*(f - 2)*(f + 1)
Let s(b) = 6*b**2 + 2 - 2*b**2 - 2*b**2 - b**3 + 3*b + 0*b. Let j be s(3). Let -2 - 2*i**j - 2*i**2 + 4*i - 3*i**2 + 5*i**2 = 0. What is i?
1
Let c be (14 - 2) + 312/(-39). Let u be 22/28 + (2/c)/(-1). Factor 0*j - 10/7*j**3 + 8/7*j**2 + 0 + u*j**4.
2*j**2*(j - 4)*(j - 1)/7
Suppose 62*m - 65*m - 2*s = -13, -2 = -s. Suppose 2*z = -m*z + c + 2, 2*z - 5*c = 10. Find n, given that 0*n + z + 3/7*n**4 + 0*n**2 + 15/7*n**3 = 0.
-5, 0
Let g(t) = 56*t**3 - 9512*t**2 + 1418440*t + 354756. Let j(c) = 2*c**3 + c**2 - 2*c - 23. Let x(b) = g(b) - 20*j(b). Factor x(u).
4*(u - 298)**2*(4*u + 1)
Let t = -5294 - -5297. Let d(k) be the third derivative of 1/210*k**7 + 0 - 1/30*k**6 - 1/12*k**4 + 1/12*k**5 + 6*k**2 + 0*k + 0*k**t. Factor d(p).
p*(p - 2)*(p - 1)**2
Let m(d) be the third derivative of -1/8*d**4 + 1/100*d**5 + 0*d**3 - 2*d + d**2 + 0. Factor m(o).
3*o*(o - 5)/5
Let -5/6*z**3 - 65/3*z**2 + 290/3 + 455/6*z = 0. Calculate z.
-29, -1, 4
Let r(n) be the second derivative of -n**5/5 + 106*n**4/3 + 214*n**3/3 + 651*n. Factor r(l).
-4*l*(l - 107)*(l + 1)
Let t(v) be the first derivative of -v**3/9 - 430*v**2/3 - 184900*v/3 + 1478. Factor t(j).
-(j + 430)**2/3
Let d(h) be the first derivative of -3 + 7/3*h**4 + 8/3*h**3 - 8*h**2 + 2/5*h**5 - 19*h. Let o(r) be the first derivative of d(r). Find j such that o(j) = 0.
-2, 1/2
Let i = -5754 - -5754. Let d(f) be the first derivative of 1/15*f**6 + 1/5*f**4 - 6/25*f**5 + 0*f**2 - 12 + 0*f + i*f**3. Factor d(n).
2*n**3*(n - 2)*(n - 1)/5
Let i(r) be the second derivative of -r**4/4 - 599*r**3/2 + 900*r**2 + 31*r - 6. Determine y, given that i(y) = 0.
-600, 1
Let i(f) be the second derivative of f**6/165 - 5*f**5/22 + 167*f**4/66 - 383*f**3/33 + 240*f**2/11 + 613*f. Determine g, given that i(g) = 0.
1, 3, 5, 16
Let i = 75258407/521180 + -3/104236. Determine j, given that i + 2/5*j**2 + 76/5*j = 0.
-19
Factor 4/9*j - 2/9*j**2 + 10/3.
-2*(j - 5)*(j + 3)/9
Let g(v) be the third derivative of -32*v**7/735 + 2276*v**6/35 - 2910433*v**5/105 - 34709*v**4 - 52094*v**3/3 - 8024*v**2. Factor g(c).
-4*(c - 427)**2*(4*c + 1)**2/7
Let u(p) = -4*p**3 + 6*p**2 - 3*p + 4. Let k(v) = -4*v**3 + 7*v**2 - 4*v + 3. Let s(o) = 6*o + 10. Let w be s(-2). Let z(c) = w*u(c) + 3*k(c). Factor z(d).
-(d - 1)**2*(4*d - 1)
Let u(l) = -l**2 - 28*l - 31. Let s be u(-26). Let h(q) be the first derivative of -17 + s*q + 6 - 12*q**2 + q**3 + 3. Let h(o) = 0. What is o?
1, 7
Let k be (5884/42)/((-16)/(-28)). Let l = k - 245. Factor l*r**2 + 0 - 1/6*r.
r*(r - 1)/6
Let b be -9 + (28/48)/(28/492). Solve b*j**4 + 0*j - 9/4*j**2 - 3/4*j**3 + 0 - 1/4*j**5 = 0 for j.
-1, 0, 3
Let x(c) = 120*c + 22920. Let r be x(-191). Find l such that -20/3*l**5 - 67/3*l**4 + 44/3*l**2 - 8/3*l - 10*l**3 + r = 0.
-2, 0, 1/4, 2/5
Let g(f) be the first derivative of -11*f**3 + 1/30*f**5 + 0*f**2 + 0*f + 34 + 0*f**4 + 1/90*f**6. Let n(v) be the third derivative of g(v). Factor n(u).
4*u*(u + 1)
Determine f, given that -6*f - 6/5*f**5 - 36/5 + 52/5*f**4 + 176/5*f**2 - 156/5*f**3 = 0.
-1/3, 1, 2, 3
What is d in -2504139 - 1714777 - 4*d**2 - 645979*d + 637763*d = 0?
-1027
Factor 28/5*q + 2*q**2 + 18/5.
2*(q + 1)*(5*q + 9)/5
Suppose 114*d - 320*d + 106 = -306. Suppose -18/11*z**d + 0 - 48/11*z**3 - 32/11*z**4 - 2/11*z = 0. Calculate z.
-1, -1/4, 0
Let h(j) = -50*j**3 + 207*j**2 + 195*j + 26. Let r(x) = -17*x**3 + 69*x**2 + 62*x + 9. Let k(m) = 3*h(m) - 8*r(m). Factor k(d).
-(d - 6)*(d + 1)*(14*d + 1)
Let p = 25 + -18. Let v = -2161 + 2163. Determine y so that -y**2 - 3*y + p*y**2 - 30 - y**2 - v*y = 0.
-2, 3
Let h(i) be the second derivative of 28*i**6/75 - 36*i**5/25 - 47*i**4/10 - 73*i**3/15 - 12*i**2/5 + 1602*i. Determine c so that h(c) = 0.
-1/2, -3/7, 4
Let h(t) = 960*t + 920. Let c(p) = p**2 + 952*p + 919. Let b(v) = -5*c(v) + 4*h(v). Factor b(d).
-5*(d + 1)*(d + 183)
Suppose 1 - 10 = d - 5*n, 15 = 5*d + 5*n. Let i be (-138)/(-115) - (d - 0/3). Factor -i*p**5 + 7/5*p**2 + 0 - 2/5*p - 9/5*p**3 + p**4.
-p*(p - 2)*(p - 1)**3/5
Let g(k) be the third derivative of 3/196*k**8 - 4/21*k**5 + 21*k**2 - 1/14*k**4 + 0*k**3 - 8/245*k**7 - 19/105*k**6 + 0 + 0*k. Suppose g(u) = 0. What is u?
-1, -1/3, 0, 3
Let k(u) be the first derivative of -u**5/25 + 87*u**4/20 - 117*u**3 - 1215*u**2/2 - 1640. Factor k(v).
-v*(v - 45)**2*(v + 3)/5
Let o(y) = -7*y**3 - y**2 + 3*y + 3. Let n be o(-1). Find w such that -n*w + 10*w**2 - 19*w - 10 + 20*w + 5*w**3 = 0.
-2, -1, 1
Let u(l) be the third derivative of l**8/1848 - 47*l**7/1155 + 141*l**6/220 + 3019*l**5/330 + 104*l**4/3 + 676*l**3/11 - 12511*l**2. Solve u(d) = 0 for d.
-3, -1, 26
Let b = 31439 - 60927/2. Let f = 980 - b. Let 0 + 3/2*n**2 - 9/2*n**3 + 0*n - 3/2*n**5 + f*n**4 = 0. Calculate n.
0, 1
Suppose -102*i - 12 = -105*i. Let s be (-1)/i*0 - 0. Factor 0 + s*a - 2/9*a**2.
-2*a**2/9
Suppose -p + 4*r = 16, -4*p = 76*r - 79*r - 1. Factor -98/13*q**2 + 126/13*q**3 - 30/13*q**p + 0 + 0*q + 2/13*q**5.
2*q**2*(q - 7)**2*(q - 1)/13
Let o(r) = 108*r - 213. Suppose -211 = -18*m - 175. Let u be o(m). Factor 5/8*b**u + 1/8*b**4 - 1 - 1/2*b + 3/4*b**2.
(b - 1)*(b + 2)**3/8
Let k(n) be the third derivative of n**5/12 + 715*n**4/24 - 11481*n**2. Factor k(j).
5*j*(j + 143)
Let g = 325 + -159. Let 234*y + 3*y**2 - 572*y + 2129 + 3706 + 15333 - g*y = 0. Calculate y.
84
Let y(x) be the second derivative of -x**5/90 + 13*x**4/54 - 16*x**3/9 + 4*x**2 - 1420*x. Factor y(q).
-2*(q - 6)**2*(q - 1)/9
Let b = -132023/3 - -44013. What is k in -1/3*k**5 - 8/3*k**2 - b*k + 16/3 + 1/3*k**4 + 8/3*k**3 = 0?
-2, 1, 2
Let r be (-48)/(-12) + -1 - (-378 - -1). Let j be 648/r - 2/19. Determine t so that -j*t - 12/5*t**2 - 2/5*t**4 - 8/5*t**3 - 2/5 = 0.
-1
Find k such that 6/5*k - 12/5 + 4/15*k**2 - 2/15*k**3 = 0.
-3, 2, 3
Let u(p) be the third derivative of -p**5/30 - p**4 - 12*p**3 + 506*p**2. Find i, given that u(i) = 0.
-6
Let i = 38 - 35. Determine u, given that -60 - 10*u**3 - 4*u**i + 12*u**3 - 9*u**2 - 82*u + 5*u**2 - 20*u**2 = 0.
-6, -5, -1
Let q(v) be the third derivative of -2*v**7/105 - 6*v**6/5 - 23*v**5/5 - 17*v**4/3 - 1073*v**2. Factor q(j).
-4*j*(j + 1)**2*(j + 34)
Suppose 28 - 19 = 3*t. Suppose 4*l - 46 = -l + k, 0 = l + t*k - 22. Determine s so that -13*s**2 - l*s + 11*s**2 + 7*s**2 + 15*s**3 = 0.
-1, 0, 2/3
Let f(h) be the third derivative of 11*h**6/30 + 127*h**5/15 + 44*h**4 + 72*h**3 - 8*h**2 + 63*h + 2. Factor f(p).
4*(p + 2)*(p + 9)*(11*p + 6)
Let n = -15/19223 + 77027/173007. Factor -2/9*m**3 - n*m**2 + 0 - 2/9*m.
-2*m*(m + 1)**2/9
Let p(z) = 5*z**2 - 3530*z + 623055. Let s(l) = -2. Let m(n) = -p(n) - 5*s(n). Suppose m(x) = 0. Calculate x.
353
Let z(q) be the second derivative of -46*q + 4/3*q**4 + 0 + 10*q**2 + 1/10*q**5 - 19/3*q**3. Factor z(w).
2*(w - 1)**2*(w + 10)
Let g be (-20)/2*14/(-70). Factor 21 + 10*r + 2283*r**2 - 2286*r**g + 8*r.
-3*(r - 7)*(r + 1)
Let k(i) be the second derivative of i**5/20 - 503*i**4/2 + 506018*i**3 - 509054108*i**2 - i - 2788. Solve k(z) = 0 for z.
1006
Let d(j) be the second derivative of -j**6/90 + j**5/12 + j**4/18 - 4*j**3/3 + 1032*j. Let d(g) = 0. Calculate g.
-2, 0, 3, 4
Let t(g) be the first derivative of g**5 + 95*g**4/4 + 250*g**3/3 + 80*g**2 - 7261. Factor t(o).
5*o*(o + 1)*(o + 2)*(o + 16)
Let t = 185360 - 926778/5. Factor t - 131/5*j + 192/5*j**2 + 9/5*j**3.
(j + 22)*(3*j - 1)**2/5
Let 