 + 0 - 147/4*o**3 + 81/4*o**4 + 75/2*o - 81/4*o**2 = 0?
-1, 0, 1, 2, 25
Let u(x) = 3*x**2 + 7*x + 5. Let z be (-1)/(-6) + 262/12. Let o(k) = -6*k - 5*k**2 + z + 3*k**2 - 26. Let y(m) = 5*o(m) + 4*u(m). Factor y(a).
2*a*(a - 1)
Factor 12096 - 766*q**3 - q**5 + 3896*q**2 + 7523*q**2 - 31768*q + 15340 + 61*q**4 - 549*q**3.
-(q - 19)**3*(q - 2)**2
Let i(g) = g**2 - g. Let y(d) be the first derivative of 4 - 1/3*d**3 + 1/2*d**2 + 0*d. Let r(b) = -4*i(b) - 7*y(b). Suppose r(l) = 0. What is l?
0, 1
Let m = -18 - -20. Factor -473*l**2 + 473*l**m - 5*l**4.
-5*l**4
Let b(l) be the first derivative of -2*l**6/105 + 2*l**5/35 + l**4/21 - 4*l**3/21 + 37*l - 40. Let z(h) be the first derivative of b(h). Factor z(y).
-4*y*(y - 2)*(y - 1)*(y + 1)/7
Let h = 345 + -345. Let t(m) be the first derivative of h*m + 0*m**2 - m**4 + 8/3*m**3 - 8. Let t(i) = 0. Calculate i.
0, 2
Let x(c) = -9*c**2 - 51*c - 22. Let z(w) = 10*w**2 + 52*w + 23. Let a(u) = -5*x(u) - 4*z(u). Solve a(s) = 0 for s.
-9, -2/5
Let x(n) = -6*n**3 - 36*n**2 - 105*n + 150. Let w(u) = 13*u**3 + 71*u**2 + 210*u - 301. Let o(h) = -3*w(h) - 7*x(h). Solve o(r) = 0 for r.
-7, 1
Let j(s) = -2*s**4 - s**3 + s**2 + 1. Let l(z) = 10*z**4 + 6*z**3 - 4*z - 6. Let r(h) = 6*j(h) + l(h). What is m in r(m) = 0?
-2, 0, 1
Let z(c) = -20*c**2 + 38*c - 30. Let k(d) = -17*d**2 + 38*d - 31. Let h(q) = -6*k(q) + 5*z(q). Factor h(i).
2*(i - 18)*(i - 1)
Factor 37 - 23*q + 61*q**2 + 148*q + 26 - q**3.
-(q - 63)*(q + 1)**2
Let n = -2503 + 7511/3. What is s in -n*s**2 - s**3 - 1/3*s**4 + 0 + 0*s = 0?
-2, -1, 0
Factor 38/11*x + 8/11*x**3 - 12/11 + 38/11*x**2.
2*(x + 2)*(x + 3)*(4*x - 1)/11
Suppose 2*k**3 + 1/4*k**5 + 5/4*k**4 + 0 + 0*k + k**2 = 0. What is k?
-2, -1, 0
Suppose 6*c - 6*s = 7*c + 8, 0 = 2*c - 2*s - 12. Let j(x) be the third derivative of 0*x**3 + 1/16*x**c + 0*x - 1/80*x**5 + x**2 + 0. Factor j(d).
-3*d*(d - 2)/4
Suppose 0*f = 3*b + 3*f - 9, -5*b + 5*f + 5 = 0. Suppose -4*y + 3*q = -0*q - 7, -18 = -3*y - b*q. Determine t so that 0 + 4*t**3 + t + 3/2*t**y + 7/2*t**2 = 0.
-1, -2/3, 0
Let k(n) be the first derivative of n**7/84 + n**6/48 - n**5/24 - 5*n**4/48 - 5*n**2/2 - 1. Let d(i) be the second derivative of k(i). Solve d(h) = 0 for h.
-1, 0, 1
Let d(w) be the third derivative of w**5/240 - 83*w**4/48 + 6889*w**3/24 - 2*w**2 - 22*w. Factor d(v).
(v - 83)**2/4
Let t(y) = 7*y**2 - 414*y + 8407. Let u(r) = 29*r**2 - 1658*r + 33629. Let z(b) = -9*t(b) + 2*u(b). Factor z(g).
-5*(g - 41)**2
Let z be 5 - 2692/(-12) - (-2 - 0). Let b = -231 + z. Let -y - 1/3*y**3 - y**2 - b = 0. What is y?
-1
Find x, given that 8/5 + 2*x + 2/5*x**2 = 0.
-4, -1
Factor 1/6*y**2 + 18*y + 486.
(y + 54)**2/6
Suppose -12*j = -5*j + 14. Let g(u) = -21*u**4 + 30*u**3 - 4*u**2 - 3*u. Let l(r) = -r**3 - r. Let s(d) = j*g(d) - 2*l(d). Determine o, given that s(o) = 0.
-2/7, 0, 2/3, 1
Suppose -g + 3*w = 32 + 111, 3*g + 439 = 4*w. Let z = -146 - g. Factor 0 - 49/6*u**4 - 16/3*u**2 - 2/3*u - 77/6*u**z.
-u*(u + 1)*(7*u + 2)**2/6
Let g(x) = -125*x**2 - 623*x + 62. Let i(k) = -64*k**2 - 312*k + 32. Let p(n) = 4*g(n) - 7*i(n). What is u in p(u) = 0?
-6, 1/13
Let r(w) be the second derivative of 0 + 5/48*w**4 - 1/4*w**2 - 5/24*w**3 + 7*w - 1/40*w**6 + 1/16*w**5. Find l such that r(l) = 0.
-1, -1/3, 1, 2
Let h(g) be the first derivative of 6/5*g**4 - 36/5*g + 42/5*g**2 - 3/25*g**5 + 42 - 23/5*g**3. Determine r so that h(r) = 0.
1, 2, 3
Let g be 1855/147*3 + 5. Determine f, given that 1250/7 + g*f**2 - 1000/7*f - 40/7*f**3 + 2/7*f**4 = 0.
5
Let c(r) be the second derivative of 7*r**6/90 - r**5/5 - 4*r**4 - 104*r**3/9 - 8*r**2 - 2*r + 288. Factor c(f).
(f - 6)*(f + 2)**2*(7*f + 2)/3
Factor -136*y + 2*y**2 + 622 + 1474 + 216.
2*(y - 34)**2
Suppose 0 = 2*r - 7 - 9. Solve 0*t + t - t - 6*t - 2 + r*t**2 = 0 for t.
-1/4, 1
Let b = -283 - -1423/5. Factor 2*s**2 + 16/5*s + b + 2/5*s**3.
2*(s + 1)*(s + 2)**2/5
Determine c, given that -13/2 + 1/2*c**2 - 6*c = 0.
-1, 13
Suppose q + 23 = 5*g, 5*q + 3*g = 2*q + 21. Let c(m) be the second derivative of 1/14*m**q - m + 1/70*m**5 + 1/70*m**6 + 0 - 1/21*m**4 - 1/21*m**3. Factor c(o).
(o - 1)*(o + 1)**2*(3*o - 1)/7
Let o be 14 + -58 + 2*-1 + 2. Let q = o - -48. Find v such that -v**q + 4/3*v + 1/3*v**3 + 0 + 8/3*v**2 = 0.
-1, -2/3, 0, 2
Let l(g) be the third derivative of -25*g**8/336 - 43*g**7/42 - 17*g**6/24 + 59*g**5/12 + 55*g**4/12 - 40*g**3/3 - 39*g**2. Let l(h) = 0. What is h?
-8, -1, 2/5, 1
Let i(b) be the first derivative of b**6/2340 - b**5/390 - b**4/52 - 8*b**3/3 + 14. Let r(w) be the third derivative of i(w). Factor r(z).
2*(z - 3)*(z + 1)/13
Let 34/5*a**2 + 6/5*a + 0 - 12/5*a**3 = 0. Calculate a.
-1/6, 0, 3
Let t(n) = 97*n - 2228. Let v be t(23). Factor 2/3*x**4 - 2*x**2 + 0 + 1/6*x**5 - 1/3*x**v + 3/2*x.
x*(x - 1)**2*(x + 3)**2/6
Let y(i) be the first derivative of -5*i**4/6 + 28*i**3/9 - 7*i**2/3 - 4*i/3 - 61. Factor y(c).
-2*(c - 2)*(c - 1)*(5*c + 1)/3
Let m = -18 + 9. Let a(i) = -i**3 - 8*i**2 + 10*i + 9. Let q be a(m). Factor -z - 5/2*z**3 + q - 7/2*z**2.
-z*(z + 1)*(5*z + 2)/2
Let w(q) = -q**2 + 37*q + 122. Let j be w(40). Determine y, given that 6/7 - 2/7*y**3 - j*y + 10/7*y**2 = 0.
1, 3
Let m(q) be the third derivative of q**6/72 - 11*q**5/18 + 175*q**4/24 - 40*q**3 - 34*q**2 - 14. Factor m(j).
5*(j - 16)*(j - 3)**2/3
Let d = 901/64890 + -2/721. Let c(m) be the third derivative of 0 + 0*m**3 + 1/315*m**7 - d*m**5 - 3*m**2 + 0*m**6 + 0*m**4 + 0*m. Factor c(z).
2*z**2*(z - 1)*(z + 1)/3
Solve 6/7*y**2 + 16/21*y + 0 + 2/21*y**3 = 0 for y.
-8, -1, 0
Suppose -2*p - 5*z + 26 = -2*z, 0 = p + 3*z - 10. Suppose 0 = -2*u + 6*u - p. Factor 3*h**2 + h - 4 + u.
h*(3*h + 1)
Let b = -20 + 22. Let k(w) be the first derivative of 0*w - 1/21*w**3 + 0*w**b + 1 - 1/28*w**4. Find u such that k(u) = 0.
-1, 0
Suppose 392 = 3*o - 11*o. Let r = o - -49. Determine p, given that 0*p + r - 1/4*p**2 = 0.
0
Suppose -213*z - 11*z**3 - z**3 - 5 + 4 + 43 + 152*z**2 + 31*z**2 = 0. What is z?
1/4, 1, 14
Let l(n) be the second derivative of -n**8/336 + n**7/42 - n**6/12 + n**5/6 - 5*n**4/24 + n**3/3 + 24*n. Let g(y) be the second derivative of l(y). Factor g(w).
-5*(w - 1)**4
Let t(i) be the third derivative of 2/15*i**5 + 0*i**3 + 5/84*i**8 + 0 + 8/35*i**7 + 3/10*i**6 + 0*i + 12*i**2 + 0*i**4. Suppose t(v) = 0. Calculate v.
-1, -2/5, 0
What is q in 2/9*q**4 - 8/9*q**3 - 8/9*q**2 + 0 + 32/9*q = 0?
-2, 0, 2, 4
Let t be (-6)/15 + (-51)/(-15). Let o(y) = y**4 + 8*y**3 + y**2. Let g(j) = 12*j**4 + 88*j**3 + 12*j**2. Let s(b) = t*g(b) - 32*o(b). Factor s(n).
4*n**2*(n + 1)**2
Factor 7*q - 5*q**5 + 141*q**4 - 55 - 34*q**4 - 10*q**2 - 42*q**4 - 110*q**3 + 108*q.
-5*(q - 11)*(q - 1)**3*(q + 1)
Let d(k) = 67*k**3 + 3*k**2 - 3*k - 1. Let l be d(1). Let s = l - 64. What is j in 2/9*j**s + 0 + 1/9*j**3 + 1/9*j = 0?
-1, 0
Let d(n) be the second derivative of n**6/6 + 3*n**5/2 - 115*n**4/12 - 110*n**3 - 350*n**2 - 449*n. Factor d(z).
5*(z - 5)*(z + 2)**2*(z + 7)
Let h(i) be the first derivative of -2*i**3/33 + 135*i**2/11 + 484. Solve h(f) = 0 for f.
0, 135
Let o be 69/9 + 1/3. Let v(f) = f**2 - 9*f + 11. Let r be v(o). Find s such that 3*s**2 + s**2 + 0*s**4 - 2*s**3 - r + 2 - 3*s**4 + 2*s = 0.
-1, 1/3, 1
Let d = 1082 + -1077. Determine h so that 0 + 0*h + 1/2*h**d + 0*h**2 - 1/2*h**3 + 0*h**4 = 0.
-1, 0, 1
Let d be (4 + 68/16)*20. Let x be (6/(-15))/((-3)/d). Factor -4*r + 6*r**2 + 0*r**2 - 3*r**2 + x*r + 27.
3*(r + 3)**2
Let v be 6/3*70/70. Solve 3*z**v + 3/4*z**3 + 3*z + 0 = 0 for z.
-2, 0
Let k = 1041 - 1036. Let u be (0 + 4)*(-6)/(-8). Suppose -8*w**4 - k*w**3 - w**3 + 2*w**u - 4*w**5 + 16*w**4 = 0. What is w?
0, 1
Let k be 2 + (-15)/25 + (-8)/(-5). Factor -k + 6*w**2 - 7*w**2 + 1 - w + 4*w.
-(w - 2)*(w - 1)
Let r be 8/6*(11/(-44))/(-1). Let d(t) be the second derivative of 0 - 5/6*t**6 + 0*t**3 - t - t**5 - r*t**4 + 0*t**2. Factor d(u).
-u**2*(5*u + 2)**2
Let y(x) be the first derivative of x**6/14 - 30*x**5 + 5250*x**4 - 490000*x**3 + 25725000*x**2 - 720300000*x - 28. Determine c, given that y(c) = 0.
70
Suppose 4*p = 5*f - 17, p - 5*f = 6*p + 55. Let r(q) = q**2 + 8*q + 4. Let v be r(p). Factor 7 - 7 - d**3 - d**3 - v*d**2.
-2*d**2*(d + 2)
Let l(b) = -b**4 - 5*b**3 - 3*b**2 + 5*b + 4. Let k(d) = -2*d**4 - 10*d**3 - 6*d**2 + 10*d + 8. Let t(