d(m) = 6*m - 44. Let p be d(8). What is b in b**3 + 12 + p - 10 - 7*b = 0?
-3, 1, 2
Let c = -75096/5 + 15020. Factor -2/5*g**3 - c*g**2 + 2/5*g + 4/5.
-2*(g - 1)*(g + 1)*(g + 2)/5
Factor -4/5*g**2 + 2*g - 2/5*g**3 + 12/5.
-2*(g - 2)*(g + 1)*(g + 3)/5
Let y(g) = -54*g**3 + 49*g**2 + 103*g + 8. Let h(a) = a**3 + a**2 + a - 3. Let r(t) = 2*h(t) + y(t). Solve r(k) = 0 for k.
-1, -1/52, 2
Factor v**3 - 410*v + 0*v**3 + 406*v + 10*v**2 + v**3 - 48.
2*(v - 2)*(v + 3)*(v + 4)
Suppose 4630500*l**3 + 64488257*l**4 - 20*l + 98232432*l**4 + 440*l - 41170064*l**4 + 1 + 71504*l**2 - 5354*l**2 = 0. Calculate l.
-1/105
Suppose 506 + 434 = 188*x. Determine m, given that 8/13*m**2 - 2/13*m**x + 0 - 8/13*m**4 + 8/13*m - 6/13*m**3 = 0.
-2, -1, 0, 1
Let o(p) be the second derivative of p**4/12 - p**3/6 - p**2/2 + 33*p. Let u(d) = 3*d**2 - 12*d - 2. Let l(b) = 2*o(b) - u(b). Find c such that l(c) = 0.
0, 10
Suppose -98*w + 330 = 16*w - 4*w. Let k(t) = -3*t - 1. Let a be k(-1). Find s such that 0*s**w - 2/7*s**4 + 0*s + 2/7*s**a + 0 = 0.
-1, 0, 1
Let r(y) be the third derivative of 9*y**2 - 1/100*y**5 + 0*y**3 + 1/350*y**7 + 0 - 1/200*y**6 + 0*y + 1/40*y**4. Suppose r(g) = 0. Calculate g.
-1, 0, 1
Let k be (4/(-20) + (-26)/(-65))*2. Factor -v**4 + 9/5*v**3 + k*v - 7/5*v**2 + 0 + 1/5*v**5.
v*(v - 2)*(v - 1)**3/5
Let p(i) = 7*i**3 + 14*i**2 - 14*i**2 - 11*i**4 - 8 + 4*i**4. Let w(g) = -5*g**4 + 5*g**3 - 5. Let j(y) = -5*p(y) + 8*w(y). Let j(d) = 0. Calculate d.
0, 1
Let b(k) = k + 1. Let w(t) = 2*t**3 - 18*t**2 + 44*t - 20. Let h(c) = -4*b(c) + w(c). Find g such that h(g) = 0.
1, 2, 6
Let c = 33 + -29. Let z(j) be the second derivative of -6*j + 0 - 1/2*j**c + 0*j**2 + 1/2*j**3 + 3/20*j**5. Solve z(a) = 0 for a.
0, 1
Let t(n) = -n - 11. Let z be t(-14). Determine g, given that 0 - z*g - 4 + 5*g**2 + 2 = 0.
-2/5, 1
Let s(i) be the third derivative of -i**6/960 + 7*i**5/480 - i**4/48 - i**3/4 + 19*i**2 - 1. Solve s(f) = 0.
-1, 2, 6
Let c(u) be the second derivative of -5*u**7/42 + 7*u**6/6 + 19*u**5/4 - 35*u**4/12 - 15*u**3 + 242*u. Determine p, given that c(p) = 0.
-2, -1, 0, 1, 9
Suppose 136 = 20*k - 18*k. Let m be k/(-18) + 3/((-18)/(-24)). Factor m*f**4 + 0*f + 4/9*f**2 - 2/3*f**3 + 0.
2*f**2*(f - 2)*(f - 1)/9
Let g = 4669/3 - 1556. Solve -g*w**3 - 1/6*w**4 + 0 + 0*w + 0*w**2 = 0 for w.
-2, 0
Let o be ((-3555)/474)/((-190)/8 - 0). Let j = 89/437 + 3/437. Determine n so that -o + 2/19*n**2 + j*n = 0.
-3, 1
Let i(q) = 2*q**3 - q**2 + 1. Let l be i(2). Determine x, given that 5*x**4 - 3 - 6*x**3 + l*x - 3*x - 4*x**3 - 2 = 0.
-1, 1
Let g(b) be the first derivative of -b**4/20 + 9*b**3/5 - 12*b**2/5 - 52*b/5 + 139. Factor g(f).
-(f - 26)*(f - 2)*(f + 1)/5
Let h(i) be the first derivative of -1849*i**3/5 + 516*i**2/5 - 48*i/5 - 165. Factor h(z).
-3*(43*z - 4)**2/5
Let c be 2/(-7) - (-48)/70. Suppose -6*m + 8*m + 8 = b, -4*b = -4*m - 16. Factor -c*z**2 + 4/5*z + b.
-2*z*(z - 2)/5
Let d(y) = 74*y**5 - 207*y**4 + 79*y**3 + 60*y**2 + 8*y + 7. Let v(r) = r**5 - 3*r**3 - 1. Let j(b) = 3*d(b) + 21*v(b). Let j(p) = 0. What is p?
-2/9, 0, 1, 2
Let a(l) = -2*l + 10. Let p be a(-5). Find h such that 17*h**2 - p*h**2 + 3*h**4 - 4*h**3 + h**3 + 3*h**5 = 0.
-1, 0, 1
Let w(b) = 60*b**4 - 183*b**3 - 363*b**2 - 182*b - 32. Let q(p) = p**4 + p**3 + p**2 - p - 2. Let j(v) = -6*q(v) + w(v). Find t such that j(t) = 0.
-2/3, -1/6, 5
Let a be -2 + 4 + (-24)/(-6). Determine m, given that 8 - 6*m - 4*m**2 + 8*m - a*m = 0.
-2, 1
Let p(d) = d**3 - d**2 - 2*d + 2. Let q be p(0). Suppose 3*g + 10 = -v - g, q*v - g - 16 = 0. Solve -12 + 4 - v*u**2 + 4*u + 14*u**2 - 4*u**3 = 0.
-1, 1, 2
Let u = -15731/170 + 3255/34. Solve -2/5*w**2 + 18/5 - u*w = 0 for w.
-9, 1
Determine z, given that 3/7*z**4 + 0 + 9*z**3 + 0*z + 60/7*z**2 = 0.
-20, -1, 0
Let x be 3*384/612 - (-2)/17. Factor 21/5*b**x + 12/5 + 48/5*b.
3*(b + 2)*(7*b + 2)/5
Let r(u) be the first derivative of 0*u + 0*u**2 + 14 + 3/32*u**4 - 3/40*u**5 + 1/4*u**3. Factor r(o).
-3*o**2*(o - 2)*(o + 1)/8
Let -16*k - 4/3*k**2 - 36 = 0. What is k?
-9, -3
Let c(p) be the first derivative of -2*p**5/15 - 12*p**4 - 1196*p**3/3 - 16928*p**2/3 - 24334*p - 181. Factor c(q).
-2*(q + 3)*(q + 23)**3/3
Let a(f) be the first derivative of -1/4*f**4 - 1/3*f**3 + 0*f**2 + 0*f - 8. Factor a(h).
-h**2*(h + 1)
Suppose -56/3*n + 1/3*n**2 + 55/3 = 0. Calculate n.
1, 55
Let h(x) be the second derivative of -1/40*x**5 + 19/24*x**4 + 16*x - 25*x**2 + 0 - 20/3*x**3. Factor h(v).
-(v - 10)**2*(v + 1)/2
Let i = 11 - 5. Let a be 5 - i*(-1)/(-2). Factor a*r**2 - 37*r**3 + r**2 - 3 + 22*r**3 + 15*r.
-3*(r - 1)*(r + 1)*(5*r - 1)
Find c, given that 0 - c**2 - 8/7*c + 1/7*c**3 = 0.
-1, 0, 8
Let p(t) = 4*t - 1. Let o be p(-3). Let h = -11 - o. Factor 1/3*b + 0 + 1/3*b**h.
b*(b + 1)/3
Let s(k) = -5*k**4 - 3*k**3 - 2*k**2 - 4*k. Suppose -22 = -r + 5*d, 5*r + 2*d + 28 = 3. Let n(y) = -y**4 - y. Let o(t) = r*s(t) + 12*n(t). Factor o(g).
3*g**2*(g + 1)*(g + 2)
Let i(t) be the second derivative of t**4/48 - 5*t**3/12 + 3*t**2 - t - 424. Solve i(x) = 0 for x.
4, 6
Let b(v) be the second derivative of v**6/165 + 9*v**5/55 + 40*v**4/33 - 6*v**3/11 - 81*v**2/11 - 137*v. Solve b(f) = 0.
-9, -1, 1
Factor 0 + 2/15*w**3 - 16/5*w - 2/3*w**2.
2*w*(w - 8)*(w + 3)/15
Factor -26/11*n**2 + 24/11*n + 0 + 2/11*n**3.
2*n*(n - 12)*(n - 1)/11
Let k = 527 + -525. Let j(x) be the first derivative of -1 + 0*x - 1/12*x**3 + 0*x**4 + 0*x**k + 1/20*x**5. Determine c, given that j(c) = 0.
-1, 0, 1
Factor -d - 4/3*d**2 + 2/3*d**3 + 0 + 1/3*d**5 + 4/3*d**4.
d*(d - 1)*(d + 1)**2*(d + 3)/3
Suppose -199*f = -239*f. Determine m, given that 2/25*m**3 + f + 0*m - 2/25*m**4 + 4/25*m**2 = 0.
-1, 0, 2
Factor 8*v**3 - 15*v + 7*v**3 + 72*v**2 - 73*v**2 + v**4.
v*(v - 1)*(v + 1)*(v + 15)
Suppose 5*w + 10 = 0, 5*v - 4*w - 2457 = 636. Factor -l**2 + v*l - 609*l - 3*l**2.
-4*l*(l - 2)
Let w(f) = 12*f**2 - 232*f + 396. Let r(o) = -21*o - o**2 + 36 - 4*o**2 + 6*o**2. Let b(s) = -32*r(s) + 3*w(s). Solve b(g) = 0 for g.
3
Let z = 31 + -27. Factor -5*u**4 + 18 - 12*u - 14 + 12*u**3 + 5*u**2 - 4*u**z.
-(u - 1)*(u + 1)*(3*u - 2)**2
Let y be 21 + -27 + 1*15 - 6. Factor -1/2*v**y + 0 - 1/2*v**4 + 1/2*v**2 + 1/2*v.
-v*(v - 1)*(v + 1)**2/2
Let o(s) = s**2 + 5*s + 6. Let j be o(-4). Let y(w) be the first derivative of 5 + 18*w - 1/2*w**4 - 3*w**j - 10/3*w**3. Factor y(i).
-2*(i - 1)*(i + 3)**2
Suppose 2*q - 4*m + 51 - 75 = 0, 0 = -5*q + m + 6. Solve 3/2 - 9/4*w + q*w**2 + 3/4*w**3 = 0 for w.
-2, 1
Suppose -244*t - 2 = -2. What is n in -5/3*n**3 + 0*n + t - 10/3*n**2 = 0?
-2, 0
Let d(b) = b**3 + b**2 + b - 1. Let m(u) = 4*u**4 - 22*u**3 + 50*u**2 - 38*u + 10. Let t(i) = 2*d(i) - m(i). Determine f, given that t(f) = 0.
1, 3
Let z(k) = -4*k**4 - 8*k**3 - 29*k**2 - 10*k. Let n(v) = v**4 - v**3 - v. Let r(b) = 5*n(b) + z(b). Suppose r(y) = 0. Calculate y.
-1, 0, 15
Let p(h) = 3*h**2 - 2*h + 1. Let o(r) = 20*r**2 - 640*r + 630. Let b(s) = -o(s) + 5*p(s). What is y in b(y) = 0?
1, 125
Suppose -6 = 3*c - 18. Let p be 4/(96/8) - (-5)/3. Solve 4*d**2 + p*d + 2*d - 4*d + 4*d**3 - 4 - c*d = 0 for d.
-1, 1
Let j(h) be the third derivative of h**7/420 - h**6/180 - h**5/60 + 23*h**4/24 - 26*h**2. Let k(q) be the second derivative of j(q). Factor k(x).
2*(x - 1)*(3*x + 1)
Let n = 903 + -900. Factor -6/11*f**2 + 0 - 2/11*f**4 + 2/11*f + 6/11*f**n.
-2*f*(f - 1)**3/11
Let f(l) be the third derivative of l**5/4 - 3*l**4/8 - 337*l**2. Factor f(q).
3*q*(5*q - 3)
Let r = -201/55 - 58543/385. Let q = 156 + r. Find t such that 2/7*t**3 - 10/7*t - q*t**2 - 6/7 = 0.
-1, 3
Solve 288/5 + 2/5*f**2 - 48/5*f = 0 for f.
12
Let m(q) be the first derivative of -q**6/480 - q**5/48 + 7*q**2/2 - 7. Let h(a) be the second derivative of m(a). Factor h(w).
-w**2*(w + 5)/4
Solve -8/7*p + 4/7*p**2 + 2/7*p**3 - 1/7*p**4 + 0 = 0 for p.
-2, 0, 2
Let h(t) = -16*t**2 + 38*t + 41. Let s(j) = -3*j**2 + 7*j + 8. Let w(o) = 6*h(o) - 33*s(o). What is d in w(d) = 0?
-2, 3
Let m be ((-7)/7)/(2/(-18)). Let v be m - -1*(-6 - -2). Factor -9*c**2 + 9*c**2 + 2*c**3 - c - 4*c**2 - v*c.
2*c*(c - 3)*(c + 1)
Let n(m) be the second derivative of 1/45*m**5 + 0 - 9*m + 0*m**4 + 0*m**3 - 1/135*m**6 + 0*m**2. Factor n(l).
-2*l**3*(l - 2)/9
Let l(s) be the third derivative of s**8/1176 + s**7/735 - 11*s**6/210 -