- 5*l(n). Factor s(i).
-2*(i - 1)*(5*i - 9)
Let l(s) = s**2 + 124*s + 945. Let z(o) = o**2 + 5. Let v(c) = -l(c) - 3*z(c). Factor v(t).
-4*(t + 15)*(t + 16)
Suppose 401*k = -8485 + 9287. Determine w, given that -4/3*w**k - 529/3 - 92/3*w = 0.
-23/2
Let x(j) be the third derivative of -j**8/2688 - 11*j**7/1680 - 11*j**6/320 - 37*j**5/480 - 7*j**4/96 - 1094*j**2. Let x(u) = 0. What is u?
-7, -2, -1, 0
Let n(w) = 2*w**2 + 13*w - 4. Let a be n(-7). Suppose 5*m = -o + 17 + 159, -a*m + 88 = 5*o. Solve 0*y**2 - 39*y + m*y - 4*y**2 - y**3 = 0.
-3, -1, 0
Let k(w) be the first derivative of w**5/20 + w**4/8 - 11*w**3 + 63*w**2 + 1568. Let k(j) = 0. What is j?
-14, 0, 6
Let n be (-5)/(-20) - 243/(-36). Let s be n/4 - 4*(-4)/(-32). Find j such that 1/2 + 1/4*j**3 + s*j + j**2 = 0.
-2, -1
Suppose x = 5*r + 5, 306 = 3*x + 2*r + 308. Factor x - 4*m**3 + 0*m + 0*m**2 + 2/5*m**4.
2*m**3*(m - 10)/5
Let x(c) be the first derivative of -c**7/28 - 3*c**6/20 - 3*c**5/40 + 3*c**4/8 + c**3/2 + 125*c - 57. Let m(t) be the first derivative of x(t). Solve m(b) = 0.
-2, -1, 0, 1
Suppose -3*b + 15 = 0, -5*l + b = -1708 - 2147. Let u = -768 + l. Factor 2/9*a**2 + 0 + 4/9*a**3 - 2/9*a**u - 4/9*a.
-2*a*(a - 2)*(a - 1)*(a + 1)/9
Suppose -5*d + 6 + 14 = 0. Let b be (33/22)/(2/84). Factor -63*s - 3*s**4 - 3*s**3 + b*s + 0*s**d.
-3*s**3*(s + 1)
Let x(a) be the first derivative of -a**4/30 + 86*a**3/15 - 81*a**2 + 1190*a/3 - 1176. Solve x(s) = 0.
5, 119
Suppose -26/17*h**3 + 2/17*h**4 - 30/17*h - 144/17 + 86/17*h**2 = 0. Calculate h.
-1, 3, 8
Let q be 21/(-35)*(-40)/12. Factor 31 + 221*r - 231*r + r**q - 6.
(r - 5)**2
Let i be 8/14*7*-1. Let y be 192/624*(-26)/i. Factor 2/7*h**y - 12/7 - 2/7*h.
2*(h - 3)*(h + 2)/7
Let c(u) be the third derivative of -137*u**5/120 - 413*u**4/48 - u**3/2 - 559*u**2. Factor c(y).
-(y + 3)*(137*y + 2)/2
Suppose -10*p + 20*p - 40 = 0. Determine m, given that -3*m**3 + p*m + 2*m**2 - 160*m**5 + 161*m**5 - 2*m**4 + 2*m**2 = 0.
-1, 0, 2
Let v be -1 + -1 + -3 + -34. Let h = v - -41. Factor h*y**4 - 10 + 26 + 2*y**3 - 2*y - 6*y**2 - 12.
2*(y - 1)**2*(y + 1)*(y + 2)
Let f be (-2)/12 - (-6)/(216/510). Let n(v) be the first derivative of 0*v**4 + 4/21*v**3 - 1/21*v**6 + 0*v + 1/7*v**2 - 4/35*v**5 + f. Factor n(q).
-2*q*(q - 1)*(q + 1)**3/7
Let d be ((-90)/3)/5 - -8. Suppose 0 = -6*q + q + 45. Suppose 145 - 145 + q*k + 3*k**d = 0. What is k?
-3, 0
Let a(t) = -t**3 + 3*t**2 + 35*t + 31. Let y be a(-11). Let p = y + -1338. Suppose -10/7*c + 2/7*c**p + 0 = 0. What is c?
0, 5
Let q = -2/129 - -2078/903. Let j be 0/(-13) + -18*2/(-28). What is n in -24/7*n - j*n**2 - 1/7*n**3 - q = 0?
-4, -1
Factor 2/9*b**2 - 2050/9 + 400/9*b.
2*(b - 5)*(b + 205)/9
Let k be (-861)/(-82)*(-24)/(-14). Let i(h) be the first derivative of -3*h**2 - k*h - 1/6*h**3 - 7. Factor i(y).
-(y + 6)**2/2
Let y(m) be the second derivative of 1/24*m**4 - 9/2*m**2 + 0 + 1/8*m**5 - 147*m - 7/4*m**3 + 1/60*m**6. Factor y(n).
(n - 2)*(n + 1)*(n + 3)**2/2
Let s = -1432 - -206209/144. Let b(h) be the third derivative of -13*h**2 + 0*h + 1/360*h**5 - 1/18*h**3 + 0 + s*h**4. Let b(r) = 0. Calculate r.
-2, 1
Let s(c) be the third derivative of 3/44*c**4 + 39*c**2 + 0*c + 8/3*c**3 + 0 + 1/110*c**5 + 1/1980*c**6. Let u(f) be the first derivative of s(f). Factor u(t).
2*(t + 3)**2/11
Let b(q) be the first derivative of 13/2*q**4 + 24*q - 13*q**2 - 2/5*q**5 - 157 - 22/3*q**3. Factor b(w).
-2*(w - 12)*(w - 1)**2*(w + 1)
Let y(q) = -51*q**5 - 16*q**4 + 4*q**3 + 4. Let k(t) = -192*t**5 - 60*t**4 + 18*t**3 + 15. Let n(j) = -4*k(j) + 15*y(j). Factor n(i).
3*i**3*(i - 2)*(i + 2)
Let r(x) be the first derivative of 1/36*x**6 - 1/3*x**3 + 0*x + 148 + 1/5*x**5 + 0*x**2 - 1/24*x**4. Factor r(d).
d**2*(d - 1)*(d + 1)*(d + 6)/6
Suppose -1/4*h**3 + 11/4*h**2 + 2349/4 + 441/4*h = 0. Calculate h.
-9, 29
Let w(m) = m**3 + 2*m - 1. Let k be w(1). Let c be -12 - 1 - (-47 - -34). Suppose -3/2*r**k + c - 21/2*r = 0. What is r?
-7, 0
Let g(m) = -m**5 + 3*m**4 + m - 5. Let j(w) = 6*w**5 + 12*w**4 + 178*w**3 - 36*w**2 - 184*w + 40. Let p(o) = 8*g(o) + j(o). Find t, given that p(t) = 0.
-4, -1, 0, 1, 22
Let u(b) = -4181*b - 259216. Let d be u(-62). Solve -2/5*k**2 + d*k + 68/5 = 0.
-2, 17
Suppose 0 = -4*y + v - 1304, y + 20*v - 23*v + 315 = 0. Let i = y + 331. Factor 3/5*f**5 + 3/5*f**3 + 0 + 0*f**2 + 6/5*f**i + 0*f.
3*f**3*(f + 1)**2/5
Let c = 4738042/231 + -20511. Let y(d) be the second derivative of -1/110*d**5 + 0*d**3 - 20*d + c*d**7 - 1/165*d**6 + 0 + 0*d**2 + 1/66*d**4. Factor y(f).
2*f**2*(f - 1)**2*(f + 1)/11
Let w(h) be the second derivative of -40 - 1/30*h**5 + 4/9*h**4 + 10/3*h**2 - 2*h - 17/9*h**3. Factor w(q).
-2*(q - 5)*(q - 2)*(q - 1)/3
Let r(c) be the second derivative of c**5/4 - 55*c**4/12 - 285*c**3 + 1800*c**2 - 8475*c. Factor r(x).
5*(x - 24)*(x - 2)*(x + 15)
Suppose -154*v = -244*v + 188*v. Factor -8/5*i**2 + 8/5*i + v + 2/5*i**3.
2*i*(i - 2)**2/5
Let d(l) = 8*l**5 - 48*l**4 - 176*l**3 - 108*l**2 - 24*l + 12. Let a(j) = j**5 - j**4 - 6*j**3 - j**2 - 2*j + 1. Let u(z) = 12*a(z) - d(z). Factor u(m).
4*m**2*(m + 2)*(m + 3)*(m + 4)
Let 3129*d - 290 + 210*d**2 - 3*d**3 - 3126*d + 80 = 0. What is d?
-1, 1, 70
Suppose 2*m + 2*s - 8 = 0, 26 = m - 5*s + 4. Suppose 28 = -0*l + m*l. Suppose 4*t**2 - 5 - 8*t**3 + 5*t**l - 1 + 8*t - 3*t**4 = 0. What is t?
-1, 1, 3
Suppose -14*z - 300 + 272 = 0. Let c be (60/(-280))/(z/1701*6). Let 135/8*d**3 + 0 + 12*d**2 - c*d**4 + 3/2*d = 0. Calculate d.
-2/9, 0, 1
Let b be 7 - (-38)/(-6 + (2 - 6)). Let q(p) be the first derivative of 3 - b*p - 4/5*p**2 - 1/15*p**3. Factor q(t).
-(t + 4)**2/5
Factor -136*b + 779*b**2 - 385*b + 41*b + 5*b**4 - 255*b**3 - 48*b**2 - b**2.
5*b*(b - 48)*(b - 2)*(b - 1)
Let c(d) be the first derivative of 2*d**3/3 + 119*d**2 + 468*d - 1074. Factor c(o).
2*(o + 2)*(o + 117)
Let f(l) be the third derivative of l**6/120 + l**5/4 - 337*l**4/24 - 117*l**3/2 - 2430*l**2. Find r, given that f(r) = 0.
-27, -1, 13
Let r = 714173/3 - 238049. Suppose -8/3*b**4 + 0 - r*b**3 - 22/3*b**2 - 4/3*b = 0. Calculate b.
-2, -1, -1/4, 0
Let u(n) be the third derivative of -n**8/28 + 137*n**7/70 - 17*n**6/20 - 49*n**2 - 68*n. Find g such that u(g) = 0.
0, 1/4, 34
Let r = -106/85 - -28/17. Let g(l) be the first derivative of r*l - 8/5*l**4 + 7/5*l**2 - 28 + 16/15*l**3. Suppose g(i) = 0. What is i?
-1/4, 1
Let t = -12/731 - -827/5848. Find m such that -1/2 + 1/8*m**4 - 11/8*m - t*m**3 - 9/8*m**2 = 0.
-1, 4
Let c(b) be the first derivative of -7*b**6/2 + 591*b**5/5 - 285*b**4/2 - 8277. Determine l so that c(l) = 0.
0, 1, 190/7
What is r in -1345641*r + 1060*r**4 + 492954*r**2 - 67386*r**3 + 2977*r**4 - 43923 + 63*r**5 - 156*r**5 + 52*r**4 = 0?
-1/31, 11
Let l(u) = 2*u**2 + 2*u - 290. Let r be l(24). Solve 28*m**2 - r + 23*m**5 + 4*m**4 - 44*m**3 + 878 - 19*m**5 + 40*m = 0.
-4, -1, 1, 2
Let w be 1547/68 + 25 + -11. Let b(q) be the first derivative of -7/2*q**3 - 343/2*q - 13 - w*q**2 - 1/8*q**4. Factor b(r).
-(r + 7)**3/2
Let d be 5 + ((-105)/21 - (-6)/(-716)). Let l = d - -761/5370. Find m, given that 2/3*m - 18/5*m**5 - 4/15*m**2 + l - 42/5*m**4 - 28/5*m**3 = 0.
-1, -1/3, 1/3
Let a(r) = 4*r**2 + 6*r + 6. Let m be a(-1). Let z(f) = 74*f - 294. Let q be z(m). What is p in -28/19*p - 2/19*p**q - 98/19 = 0?
-7
Let h(o) = 6*o**2 - 267*o + 1080. Let d(i) = -2*i**2 + 88*i - 360. Let f(a) = 14*d(a) + 4*h(a). Solve f(l) = 0 for l.
5, 36
Let c(w) be the second derivative of w**5/5 + 10*w**4/3 + 14*w**3/3 - 36*w**2 - 127*w. Factor c(j).
4*(j - 1)*(j + 2)*(j + 9)
Let i(z) = -4*z**4 + 199*z**3 + 273*z**2 + 5*z - 89. Let j(l) = l**4 + 4*l**3 - 2*l**2 + 1. Let f(a) = i(a) - 6*j(a). Find r such that f(r) = 0.
-1, 1/2, 19
Let f(b) be the second derivative of -b**5/150 + 2*b**4/3 - 364*b**3/15 + 6272*b**2/15 - 2*b + 621. Determine g, given that f(g) = 0.
14, 32
Suppose -8*m + 952 + 408 = 0. Find n such that -n - 8100 + m*n - 75*n + 97*n - 4*n**2 + 169*n = 0.
45
Let v(x) = 61*x**2 - 16810*x - 14128811. Let j(q) = 560*q**2 - 151290*q - 127159300. Let k(o) = -6*j(o) + 55*v(o). Solve k(u) = 0 for u.
-1681
Determine h so that 20/17*h + 50/17 + 2/17*h**2 = 0.
-5
Let u(b) = 24*b**2 - 206*b + 196. Let w(c) = -7*c**2 + 68*c - 65. Let k(h) = 2*u(h) + 7*w(h). Determine i, given that k(i) = 0.
1, 63
Let o(b) b