*d**3 - 3*d**5 - 98*d + 42*d**2 = 0?
-1, 0, 5
Let k(a) = -11*a**5 - 10*a**4 + 21*a**3 + 10*a**2 - 14*a. Let z(b) = 12*b**5 + 9*b**4 - 21*b**3 - 9*b**2 + 15*b. Let s(q) = 3*k(q) + 2*z(q). Solve s(j) = 0.
-2, -1, 0, 2/3, 1
Let y be (21/12)/(7/28) + -7. Let j(b) be the first derivative of -4/9*b**3 + 1/6*b**4 + 1/3*b**2 + 16 + y*b. Factor j(z).
2*z*(z - 1)**2/3
Let b(z) be the first derivative of -z**6/195 + 11*z**5/130 + 2*z**4/13 + 81*z + 57. Let s(d) be the first derivative of b(d). Factor s(y).
-2*y**2*(y - 12)*(y + 1)/13
Let i = 17751 - 17748. Let k(a) be the first derivative of 1/10*a**5 - 3/4*a**4 - 5/2*a**2 + 2*a**i - 47 + 3/2*a. Factor k(z).
(z - 3)*(z - 1)**3/2
Let k = 36 + -33. Suppose -5*x + k*h - 2 = 0, 5*h - 4 = x + 14. What is f in -5 + 217*f - 27*f**x + 0 + 6*f**3 - 7 - 181*f = 0?
1/2, 2
Let z(s) be the third derivative of s**4/24 - s**3/3 - 6*s**2. Let i be z(4). Find r such that -7*r**3 + 6*r**3 + r**i - 4*r**2 - 2*r = 0.
-2, -1, 0
Factor -95*x**2 - 57*x**2 + 216*x + 153*x**2.
x*(x + 216)
Let p be 0/(-2) + 150/5. Let x = p + -28. Determine t, given that -14*t**2 + 8 - 11*t**2 - 2 - 8*t + 27*t**x = 0.
1, 3
Let a(j) = -1. Let w(b) = 12*b + 164. Let r(h) = 8*a(h) + w(h). Let m be r(-13). Factor -1/2*x**4 + 1/6*x**5 - 1/6*x**2 + 1/2*x**3 + 0 + m*x.
x**2*(x - 1)**3/6
Let r(n) = n**3. Let j(o) be the second derivative of o**5/2 - 5*o**4/3 - 4*o**3 + 72*o**2 - 2*o + 15. Let v(g) = -j(g) + 12*r(g). Solve v(f) = 0 for f.
-6, 2
Let l(j) be the second derivative of j**7/1890 + 11*j**6/135 + 242*j**5/45 + j**4/12 - 10*j. Let n(r) be the third derivative of l(r). Factor n(a).
4*(a + 22)**2/3
Let y be 4*(275/10)/11. Suppose 38 - y = 7*b. Factor -5*q + 44*q**3 + 8*q + 2*q + 45*q**2 - b*q**3.
5*q*(q + 1)*(8*q + 1)
Let v(f) be the first derivative of f**4/12 + f**3/9 - f**2/3 - 1977. Factor v(y).
y*(y - 1)*(y + 2)/3
Let h(g) be the third derivative of -g**8/120960 - g**7/5040 - g**5/5 + 74*g**2 + 2*g. Let x(y) be the third derivative of h(y). Suppose x(p) = 0. What is p?
-6, 0
Let b = 1/3318 - -25/4424. Let z(v) be the third derivative of -1/105*v**7 + 1/60*v**6 + 0*v**3 + 0*v**4 + 1/30*v**5 - 17*v**2 + 0*v - b*v**8 + 0. Factor z(j).
-2*j**2*(j - 1)*(j + 1)**2
Let y = 71 - 161. Let z = y - -90. Factor -2/7*f**4 + 0 + 0*f**2 + 4/21*f**3 - 10/21*f**5 + z*f.
-2*f**3*(f + 1)*(5*f - 2)/21
Let i = -145 - -270. Factor -255*g**3 - 3249*g + i*g**3 + 171*g**2 + 127*g**3 + 20577.
-3*(g - 19)**3
Let n(u) = -1 - 41*u + 1 - 2*u**2 + 34*u. Let t be n(-3). Factor -128*a**3 - 123*a**t + 252*a**3 + 6*a**2 + 9*a.
a*(a + 3)**2
Let j be (4/12*1)/((-947)/(-3788)). Factor 4/9*p**2 - j*p - 8.
4*(p - 6)*(p + 3)/9
Suppose -35*w - 75*w = 266*w - 752. Suppose -8/9*s**2 + 1/9*s**3 + s + w = 0. What is s?
-1, 3, 6
What is g in 2*g**4 - 9/2*g**3 - 8*g**2 + 0 + 1/2*g**5 + 10*g = 0?
-5, -2, 0, 1, 2
Let w(u) = -u**3 + 6*u**2 - 5*u + 4. Let m be w(5). Factor 21*s**2 - 2*s**m - 288*s - 50*s**3 - 101*s**2 - 70*s**2 - 186*s**2.
-2*s*(s + 1)*(s + 12)**2
Let n(j) = -33*j**3 - 739*j**2 + 44*j + 5. Let u(a) = 13*a**3 + 369*a**2 - 22*a - 3. Let p(r) = -3*n(r) - 5*u(r). Let p(i) = 0. Calculate i.
-11, 0, 1/17
Let b(z) = z**3 + 17*z**2 + 29. Let c be b(-17). Let f = 122/3 - c. Solve 15*x**2 + 10/3 - f*x + 5/3*x**4 - 25/3*x**3 = 0 for x.
1, 2
Suppose 2150*n + 323 - 2997*n**2 + 3*n**5 + 652*n**3 + 3*n**5 + 673 - 103*n**4 - 1871 + 1167*n**2 = 0. What is n?
1, 7/6, 5
Determine u so that 6*u**3 - 2/3*u**4 - 4/3*u**2 + 0 - 32*u = 0.
-2, 0, 3, 8
Find f such that -3*f**4 - 8*f**4 + 3*f**4 - 15*f**3 + 729*f - 13*f**3 - 713*f - 16*f**2 = 0.
-2, 0, 1/2
Let h(g) = 51*g - 33*g + 2*g**2 - 343 - 3*g**2 - 74*g. Let w be h(-7). Solve -2/3*x**5 + 2/3*x**2 + w*x + 2/3*x**3 - 2/3*x**4 + 0 = 0 for x.
-1, 0, 1
Let x(o) = 15*o**3 - 130*o**2 + 130*o - 27. Let b = 346 + -352. Let u(n) = n**3 + 2*n + 1. Let p(c) = b*u(c) - 2*x(c). Find q, given that p(q) = 0.
2/9, 1, 6
Let z be (-24 - 2) + 5 + -2. Let l = z - -68. Find g, given that -16*g**2 - 10 - 8*g**2 + l*g - 20*g**2 + 9*g**2 = 0.
2/7, 1
Let i(g) be the first derivative of -g**4/2 + 626*g**3/3 + g**2 - 626*g + 6772. Factor i(y).
-2*(y - 313)*(y - 1)*(y + 1)
Let f(k) be the second derivative of 27*k**5/80 + 3543*k**4/16 - 592*k**3 + 1185*k**2/2 + 284*k - 1. Factor f(i).
3*(i + 395)*(3*i - 2)**2/4
Let -38350*g**2 - 14860*g - 6020*g**4 - 338254 + 336454 - 31065*g**3 - 303*g**5 + 58*g**5 = 0. Calculate g.
-18, -5, -1, -2/7
Suppose -5*f + 1080 = 3*n, -3 = f - 0*f. Suppose 6*r**2 - 241*r - n*r - 2*r**2 + 174*r + 11664 = 0. Calculate r.
54
Let x(z) be the second derivative of -1/3*z**3 + 1/45*z**6 - 2/3*z**2 + 1/10*z**5 + 0 + 1/18*z**4 - 4*z. Suppose x(o) = 0. What is o?
-2, -1, 1
Let z be (129/(-105) + (-27)/(-63))*((-2828)/224 + 12). Let q = -1/184 + 3/23. Solve -3/8*a**3 - q*a**5 - z*a**4 + 0 + 0*a**2 + 0*a = 0.
-3, -1, 0
Suppose 4*c + 24 = 3*w, 6 = w + c - 3*c. Suppose -2832 = -w*x - 2808. Find q, given that -4/3*q + 0 - 4/3*q**x = 0.
-1, 0
Let j(u) = 19*u**2 - 2895*u + 5784. Let t(s) = -6*s**2 + 966*s - 1928. Let c(k) = -2*j(k) - 7*t(k). What is a in c(a) = 0?
2, 241
Factor 2223/7*y - 1/7*y**2 + 0.
-y*(y - 2223)/7
Let x(n) = 5*n**2 + 94*n - 817. Let a(h) = 7*h - 1. Let u(y) = 7*a(y) - x(y). Factor u(l).
-5*(l - 9)*(l + 18)
Suppose m = -5*l + 5 + 6, 0 = -m + l + 29. Let d be (m/(-4))/(-13)*0. Let -2/11*u**2 - 1/11*u - 1/11*u**3 + d = 0. Calculate u.
-1, 0
Let p(x) be the second derivative of -x**4/66 + 19*x**3/11 - 306*x**2/11 - 15*x - 57. Factor p(u).
-2*(u - 51)*(u - 6)/11
Let f(a) be the first derivative of 5*a**3/6 - 19*a**2 + 15*a/2 + 2288. Solve f(u) = 0 for u.
1/5, 15
Let x(h) be the second derivative of -h**6/24 + h**5/4 + 15*h**4/8 - 45*h**3/2 - 33*h**2 - 128*h. Let t(f) be the first derivative of x(f). Solve t(d) = 0.
-3, 3
Let g(w) be the first derivative of w**7/280 + w**6/360 - 2*w**3 + 9*w + 23. Let p(u) be the third derivative of g(u). Solve p(z) = 0.
-1/3, 0
Factor 6*b**4 - 52868*b + 3*b**5 + 105741*b + 3*b**3 - 52873*b.
3*b**3*(b + 1)**2
Factor 0 - 29*z**2 - 7/3*z**4 + 12*z + 46/3*z**3.
-z*(z - 3)**2*(7*z - 4)/3
Let r(p) be the third derivative of 0*p + 1/672*p**8 - 7/360*p**5 + 1/24*p**4 + 1/180*p**7 + 2 - 60*p**2 - 1/80*p**6 + 0*p**3. Determine i, given that r(i) = 0.
-3, -1, 0, 2/3, 1
Suppose 3*m + 123 = -3*a, -4*a + 3*a - 5*m = 29. Let r be 3/(27/(-6)) - a/12. Determine z, given that 60*z**2 - 23*z**r - 22*z**3 - 25*z + 14*z**4 - 4*z**4 = 0.
0, 1, 5/2
Let c be (9 + 205 - 214)*(0 - 2/4). Factor -8/7*l - 66/7*l**3 + c - 8*l**2.
-2*l*(3*l + 2)*(11*l + 2)/7
Let o(z) be the third derivative of 19*z**5/90 + 31*z**4/60 - 2*z**3/45 - 1070*z**2. Factor o(m).
2*(m + 1)*(95*m - 2)/15
Let k(s) be the second derivative of -s**4/48 - 7*s**3/12 - 33*s**2/8 + 8*s - 41. Factor k(r).
-(r + 3)*(r + 11)/4
Suppose -48020 - 196*r - 1/5*r**2 = 0. What is r?
-490
Let l(x) = 2450974*x**2 - 8852*x + 4. Let s(j) = -9803877*j**2 + 35409*j - 17. Let o(q) = -15*l(q) - 4*s(q). Factor o(u).
2*(1107*u - 2)**2
Let o be 1*(-5 - -42)*(-6 + 7). Suppose 47*f - o = 104. Solve 0*k + 1/3*k**2 + 0 + 2/3*k**f = 0 for k.
-1/2, 0
Let b = 52881 - 52845. Determine n, given that -7/2*n**2 + b*n - 10 = 0.
2/7, 10
Let v(z) be the first derivative of -4*z**3/15 + 94*z**2/5 - 528*z/5 + 1857. Suppose v(o) = 0. What is o?
3, 44
Suppose -9*o - 24 = -141. Suppose 20 = -o*v + 18*v. Let -12*z**v - 3*z**5 + 36*z**4 - 12*z**2 - 15*z**4 = 0. Calculate z.
-1, 0, 2
Suppose 396 = -478*v + 467*v. Let l be (-33)/(-12) + 27/v. Factor -8/3*p - 2/3*p**l + 0.
-2*p*(p + 4)/3
Let q(x) = x**3 - x**2 + x - 1. Suppose 14*w - 12 + 82 = 0. Let h(c) = 5*c**5 + 10*c**4 - 65*c**3 - 195*c**2 - 165*c + 5. Let s(d) = w*q(d) - h(d). Factor s(y).
-5*y*(y - 4)*(y + 2)**3
Let o = -34801/2 + 17401. Let r(s) be the second derivative of 0 - o*s**4 + s - 21/160*s**5 + 9/8*s**2 + 17/16*s**3. Determine b, given that r(b) = 0.
-3, -2/7, 1
Factor -242/7*h**4 + 114/7*h**2 + 110/7*h**3 + 0 + 18/7*h.
-2*h*(h - 1)*(11*h + 3)**2/7
Find b, given that 0 + 36*b + 56/5*b**2 + 4/5*b**3 = 0.
-9, -5, 0
Let z(i) be the second derivative of 0 - 6*i - 3/2*i**4 - 1/2*i**3 + 9*i**2 + 3/20*i**5. Factor z(r).
3*(r - 6)*(r - 1)*(r + 1)
Find q, given that -113661*q**2 - 3078*q**3 - 2*q**4 - 19*q**4 - 186894*q + 122946*q = 0.
-73, -4/7, 0
Let m(a) be th