Let f(s) = 1713*s**2 + 1714*s + 43. Let w(d) = 571*d**2 + 571*d + 12. Let m(g) = 4*f(g) - 14*w(g). Determine o, given that m(o) = 0.
-1, 2/571
Let -1112/5 - 558/5*p - 1/5*p**2 = 0. What is p?
-556, -2
Let k(w) be the second derivative of 22/3*w**4 + 1/4*w**5 + 0 + 53*w - 6*w**3 + 0*w**2. Find o such that k(o) = 0.
-18, 0, 2/5
Let w(d) be the first derivative of -d**7/210 + d**6/9 + 2*d**3/3 + 43*d**2 + 212. Let v(b) be the third derivative of w(b). Find u, given that v(u) = 0.
0, 10
Find q such that 4*q**2 - 53 - 7*q**2 + 30 + 1287*q + 23 = 0.
0, 429
Let w be -1 - 3/((-2)/2). Let l be (-68 - 59241/(-882)) + 1/3 + 1. Find b, given that -3/4 + 1/4*b**w + l*b = 0.
-3, 1
Let m(n) be the second derivative of 12/5*n**2 - 2*n + 5/2*n**3 + 27/20*n**4 + 1/50*n**6 + 33/100*n**5 + 15. Factor m(s).
3*(s + 1)**3*(s + 8)/5
Suppose 190*r = -204*r + 123*r + 542. Determine m, given that 0 + 8/3*m**3 + 0*m + 2/3*m**r = 0.
-1/4, 0
Let n = -395734 - -395737. Let -2/9*b**4 - 94/9*b - 26/9*b**n - 82/9*b**2 - 4 = 0. What is b?
-9, -2, -1
What is g in -4/5*g**2 + 168 + 92/5*g = 0?
-7, 30
Let c(d) = 5*d + 1. Let q(v) = -7*v**3 - 202*v**2 - 1555*v - 1179. Let j(r) = 3*c(r) + q(r). Let j(m) = 0. Calculate m.
-14, -6/7
Factor -16/9*g + 2/9*g**4 - 32/9 + 10/3*g**2 + 16/9*g**3.
2*(g - 1)*(g + 1)*(g + 4)**2/9
Let n(i) be the second derivative of -14/9*i**3 - 1/3*i**5 + 1/45*i**6 + 108*i + 0 + 0*i**2 + 23/18*i**4. Factor n(s).
2*s*(s - 7)*(s - 2)*(s - 1)/3
Let q(f) be the second derivative of 0*f**4 + 0*f**3 + 1/5*f**5 - 1/42*f**7 - 8*f - 5 + 1/10*f**6 + 0*f**2. Factor q(g).
-g**3*(g - 4)*(g + 1)
Determine o, given that 156*o**2 - 406 - 95 - 147*o**2 + 219*o - 444 - 3*o**3 + 0*o**3 = 0.
-9, 5, 7
Let h be ((-48)/(-120))/(1/15). Suppose 2*o - s - 15 = -h*s, -4*o + 15 = -5*s. Suppose -10 - 27*c**2 - o*c**3 - 25*c - 3*c**2 + 10*c**2 = 0. Calculate c.
-2, -1
Let d(l) = 8*l**2 - 210*l - 6*l**2 + 209*l + 1. Let p(u) = -3*u**2 - 21*u - 122. Let n(j) = 2*d(j) + 2*p(j). Let n(s) = 0. What is s?
-11
Let j(m) = -7*m**3 + 12*m**2 + 21*m - 112. Let u(t) = -8*t**3 + 13*t**2 + 22*t - 114. Suppose 7*k - 3*k = 24. Let a(h) = k*u(h) - 7*j(h). Factor a(g).
(g - 5)**2*(g + 4)
Let z(b) be the second derivative of -b**4/3 + 14072*b**3/3 - 24752648*b**2 + 2243*b - 1. Solve z(p) = 0 for p.
3518
Let k(o) be the second derivative of o**4/30 + 32*o**3/15 - 644*o**2/5 - 1404*o - 1. Factor k(h).
2*(h - 14)*(h + 46)/5
Let p(i) be the first derivative of 4 - 1/2*i**3 + 6*i + 0*i**2. Factor p(d).
-3*(d - 2)*(d + 2)/2
Let p(j) be the second derivative of -j**5/20 - 13*j**4/12 + 3*j**3/2 - 37*j**2 + 5*j + 9. Let b(h) be the first derivative of p(h). Let b(c) = 0. Calculate c.
-9, 1/3
Let t be (3/(-7))/(399/(-266)). Factor 2/7*j + t*j**2 + 0.
2*j*(j + 1)/7
Let u(d) be the first derivative of -7*d**5/5 - 51*d**4/4 + 112*d**3/3 + 18*d**2 + 1971. Solve u(y) = 0 for y.
-9, -2/7, 0, 2
Factor 72 + 4/5*v**3 + 8*v**2 - 276/5*v.
4*(v - 3)*(v - 2)*(v + 15)/5
Let d = -39 - -71. Suppose -d = -39*s + 23*s. Solve 0 - 2/13*p**s - 8/13*p = 0.
-4, 0
Suppose 20 = -r + 5*r. Suppose 9*y = 37*y - 84. Find c such that c + y*c - r - 60*c**2 + 31*c = 0.
1/4, 1/3
Let t(p) be the first derivative of -p**4/11 + 30*p**3/11 + 98*p**2/11 - 2313. Find v, given that t(v) = 0.
-2, 0, 49/2
Let f be 5/2*((-11594)/(-550) + -21). Factor 0 - 11/5*d**4 + 1/5*d - f*d**2 - 9/5*d**3 - 4/5*d**5.
-d*(d + 1)**3*(4*d - 1)/5
Let j(h) = h**2 - 17*h - 59. Let u be j(-3). Let z be u/(6/(-108)*-6). Solve -2/3*p**2 + p + p**4 - 1/3*p**5 - 1/3 - 2/3*p**z = 0.
-1, 1
Suppose -4*t + 0*q + 3810 = -q, 943 = t - 5*q. Let -u**4 + 12*u**2 + 4*u**5 + 5*u**4 + 0*u**4 + t*u**3 - 973*u**3 = 0. Calculate u.
-3, 0, 1
Let x(n) = -288*n**2 + 1879*n + 221. Let w(m) = -1295*m**2 + 8455*m + 990. Let g(p) = 9*w(p) - 40*x(p). Factor g(b).
-5*(b - 7)*(27*b + 2)
Factor -48/13 + 70/13*f - 24/13*f**2 + 2/13*f**3.
2*(f - 8)*(f - 3)*(f - 1)/13
Let o = 2484466/9 + -276050. Factor -8/9*m - 4/9*m**2 + 2/9*m**3 + o.
2*(m - 2)**2*(m + 2)/9
Let t(n) be the second derivative of -2/21*n**6 + 1/49*n**7 - 1 - 4/21*n**3 + 0*n**2 + 1/10*n**5 + 2/21*n**4 + n. Suppose t(j) = 0. Calculate j.
-2/3, 0, 1, 2
Let v(b) be the first derivative of -2*b**3/9 - 44*b**2/3 + 448*b - 4704. Factor v(s).
-2*(s - 12)*(s + 56)/3
Suppose -3*d = -2*d - 4. Suppose 15*u = 12*u + 6. Factor x**u + 4*x + 9*x**2 - d*x**3 - 12 + 2*x**2.
-4*(x - 3)*(x - 1)*(x + 1)
Let g(c) be the second derivative of c**5/20 + c**4/3 - c**3/3 - 3*c**2 + 3*c + 12. Let n be g(-4). Factor -3/8*u**n + 0 - 3/4*u.
-3*u*(u + 2)/8
Let z(h) be the second derivative of -27/40*h**5 + 1/20*h**6 - 27/4*h**3 + 15/2*h**2 - 15*h + 25/8*h**4 + 0. Factor z(w).
3*(w - 5)*(w - 2)*(w - 1)**2/2
Find l such that 120 + 2*l**3 - 7*l**2 - 3*l**3 + 81*l - 29*l**2 + l**3 + 3*l**3 = 0.
-1, 5, 8
Let n(c) be the third derivative of 0*c - 1/120*c**5 - 4*c**2 - 5/6*c**3 + 0 - 1/360*c**6 + 1/4*c**4. Let y(g) be the first derivative of n(g). Factor y(v).
-(v - 2)*(v + 3)
Suppose -14*c + 366 = -334. Suppose -c*o + 37*o = -26. Factor 4/13 - 6/13*u + 2/13*u**o.
2*(u - 2)*(u - 1)/13
Let c be (36/(-84))/((-1)/7). Factor y + 16*y + c*y**2 + 10*y.
3*y*(y + 9)
Let c be 3/6 - 17/(-2). Suppose c*d = 10 + 17. Factor -5*q - 5*q**2 + 2*q**d - 4*q**2 + 5*q**2 - q**3.
q*(q - 5)*(q + 1)
Let f(w) be the first derivative of -3*w**5/2 + 57*w**4/4 - 29*w**3/2 - 81*w**2 - 54*w + 683. Find j such that f(j) = 0.
-1, -2/5, 3, 6
Let o be ((-15)/(10395/22))/((-25)/675). Factor -6/7*s**2 + 3*s - 3*s**3 + o.
-3*(s - 1)*(s + 1)*(7*s + 2)/7
Let i(j) = 2*j**2 + 824*j + 84866. Let a(m) = 4*m**2 + 1648*m + 169734. Let f(y) = 6*a(y) - 10*i(y). Factor f(k).
4*(k + 206)**2
Let n be (-183 - -186) + 2/(-5) + (-13)/(-1). What is a in 1521/5 + 1/5*a**2 - n*a = 0?
39
Let v(d) be the first derivative of -3*d**5/10 - 24*d**4 - 180*d**3 - 528*d**2 - 696*d + 474. Solve v(w) = 0.
-58, -2
Let t(y) be the first derivative of -y**4/90 + y**3/45 - 11*y + 69. Let j(b) be the first derivative of t(b). Solve j(f) = 0.
0, 1
Suppose 0 = 294*h + 349 - 879 - 352. Determine y, given that 6*y + 9/2*y**2 + 0 - 21/2*y**h = 0.
-4/7, 0, 1
Let b(v) be the first derivative of -9*v**6/16 - 147*v**5/8 - 3807*v**4/32 - 1971*v**3/8 - 567*v**2/8 - 7904. Let b(z) = 0. What is z?
-21, -3, -2/9, 0
Let h(s) = 0 - 2*s**2 - s**3 - 7*s + 8 - 4 - 6*s**2. Let p be h(-7). Solve -z**5 + 7*z**4 - 7*z**4 + 2*z**5 - z**p - 5*z**3 - 3*z**2 = 0 for z.
-1, 0, 3
Suppose 182 = -27*i + 403 - 113. Let x = -1 - -5. Solve -48 + 36*f - 5*f**3 + x*f**2 + f**3 - i*f = 0.
-3, 2
Let t(k) = 4*k**2 + 210*k + 771. Let r(a) = -7*a**2 - 417*a - 1547. Let v(h) = 10*r(h) + 18*t(h). Factor v(n).
2*(n - 199)*(n + 4)
Let i = -1085 - -689. Let l = i + 398. Factor -3/2*j**3 + 0 + 0*j - 3/2*j**l.
-3*j**2*(j + 1)/2
Suppose -154651 = 5*q - 83*q - 154417. Find h, given that 1/4*h**q + 19/4*h**2 - 363/4 + 55/4*h = 0.
-11, 3
Let r(y) be the third derivative of 5*y**8/56 + 95*y**7/42 - 23*y**6/24 - 37*y**5/4 + 85*y**4/24 + 40*y**3/3 - 3894*y**2. Let r(n) = 0. What is n?
-16, -1, -1/3, 1/2, 1
Let b(h) = -3375*h + 13505. Let f be b(4). Solve 0*z + 8/17 - 2/17*z**3 - 14/17*z**2 + 6/17*z**4 + 2/17*z**f = 0.
-2, -1, 1
Let t(v) be the second derivative of -v**4/16 - 45*v**3/2 + 543*v**2/8 - 101*v + 4. Find l such that t(l) = 0.
-181, 1
Let a(i) = 2*i**4 + 20*i**3 + 16*i**2 - 40*i + 2. Let v(d) = 10*d**4 + 101*d**3 + 77*d**2 - 199*d + 11. Let l(b) = -11*a(b) + 2*v(b). Factor l(c).
-2*c*(c - 1)*(c + 3)*(c + 7)
Let q = 99527 + -99519. Determine y, given that 8*y + 4*y**2 - 1/2*y**5 + 7/2*y**4 - q - 8*y**3 = 0.
-1, 2
Let y = 186 + -130. Factor 23 - y*z - 17 + 28*z**2 + 26 - 4*z**3.
-4*(z - 4)*(z - 2)*(z - 1)
Suppose -3*i = 2*o - 32, -167*o = -169*o - 5*i + 36. Let m = 3 + 0. Factor -4*j**2 + j**m + 4 - 12*j + o*j**3 - 4*j**4 - 2*j**3 + 4.
-4*(j - 2)*(j - 1)**2*(j + 1)
Let r(f) be the second derivative of -9/11*f**3 + 0*f**2 + 129*f + 3/11*f**4 - 1/231*f**7 - 2/165*f**6 + 6/55*f**5 + 0. Let r(g) = 0. What is g?
-3, 0, 1, 3
Let i(a) be the first derivative of -121801*a**3/15 + 698*a**2/5 - 4*a/5 + 1326. Solve i(v) = 0.
2/349
Let h(z) = 2*z**3 + z**2 + z. Let k(q) = 3*q**3 + 39*q**2 - 96*q + 50. Let d(w) = -h(w) - k(w). Factor d(n).
-5*(n - 1)**2*(n + 10)
Let b(u) = u**2 - 4*u - 17. Let m be b(-6). Let