 + 9*o + 6. Let n be z(-6). Let l be (-6)/(-39) - n/26. Determine j, given that 6*j - 3*j**2 + j**l - 3*j**3 + 5*j**2 = 0.
-1, 0, 2
Let 77/2*k + 8*k**2 + 49 + 1/2*k**3 = 0. Calculate k.
-7, -2
Let w be (-1116)/(-396) - ((-62)/(-22) + -3). Let k(h) be the first derivative of 0*h**w + 0*h + 3/4*h**4 - 1 + 0*h**2. Factor k(l).
3*l**3
Determine m so that 45/2 - 21*m**2 - 12*m - 3/2*m**4 + 12*m**3 = 0.
-1, 1, 3, 5
Let q(c) = -2*c**3 + 14*c**2 + 8. Let w = 65 + -66. Let x(f) = f**2 + 1. Let j(b) = w*q(b) + 8*x(b). Factor j(o).
2*o**2*(o - 3)
Let z(j) be the first derivative of 8 + 0*j + 6*j**2 + 4/3*j**3. Find m such that z(m) = 0.
-3, 0
Suppose 7 = -0*p - 2*p - 5*d, 3*p + 5*d + 3 = 0. Suppose -9*f = -p*f - 55. Factor f*j + j - 57*j**3 - 12*j**2 - 21*j**4 - 12*j**2.
-3*j*(j + 1)*(j + 2)*(7*j - 2)
Let k(c) = 24*c**3 - 23*c**2 - 21*c + 595. Let o(v) = -51*v**3 + 45*v**2 + 42*v - 1191. Let y(m) = 15*k(m) + 7*o(m). Factor y(l).
3*(l - 7)**2*(l + 4)
Let p(q) be the third derivative of 0 - 2/105*q**5 + 33*q**2 + 0*q**3 + 1/28*q**4 + 0*q. Factor p(o).
-2*o*(4*o - 3)/7
Factor 1844*b**2 + 0*b**3 + 5*b**3 + 3125 + 3375*b - 1589*b**2.
5*(b + 1)*(b + 25)**2
Suppose 3/4 + 1/12*u**2 - 5/6*u = 0. Calculate u.
1, 9
Let z be (-5 - (-4)/6)/((-2)/6). Factor 33 + 58*n - 3*n**2 - z*n + 15.
-3*(n - 16)*(n + 1)
Suppose 42/11*w + 92/11 - 2/11*w**2 = 0. What is w?
-2, 23
Let s be (-2127)/(-1418)*(-1)/(5/(-12)). Factor 4/5 - 22/5*d**2 + s*d.
-2*(d - 1)*(11*d + 2)/5
Let n be (15/5)/3*(-28)/(-154). Solve 6/11*k + 0 - 8/11*k**2 + n*k**3 = 0.
0, 1, 3
Let k be (12/90*-12)/(1/(-10)). Factor 50*p**4 + k*p**5 + 48*p**3 + 6*p**4 + 19*p**2 + 2*p + 9*p**3.
p*(p + 1)*(p + 2)*(4*p + 1)**2
Let j(g) be the first derivative of -2*g**3 + 0*g**2 + 0*g**4 + 3*g + 3/5*g**5 + 23. Factor j(x).
3*(x - 1)**2*(x + 1)**2
Let f be -5*6/(-6)*(-2)/(-5). Solve 2*h + 3*h**f + 12 + 6*h - 8 = 0 for h.
-2, -2/3
Suppose -648 = -6*x + 90. Let p be 3/(-1) - x/(-33). Factor 8/11*k**3 - 2/11*k**4 - 2/11 + p*k - 12/11*k**2.
-2*(k - 1)**4/11
Let w(u) = -u - 4*u**2 - 6*u - u - 25 + 37. Let v(i) = -4*i**2 - 8*i + 12. Let k(f) = -4*v(f) + 5*w(f). Factor k(c).
-4*(c - 1)*(c + 3)
Let q be (171/30 + -6)/(-6). Let m(p) be the second derivative of 0*p**3 - 1/24*p**4 + 5*p + 0 - 1/60*p**6 + 0*p**2 - q*p**5. Determine n so that m(n) = 0.
-1, 0
What is v in 3*v**2 + 42 - 69*v + 97*v - v = 0?
-7, -2
Let d(s) = 8*s**4 + 4*s**3 - 43*s**2 - 129*s - 87. Let f(m) = 6*m**4 + 4*m**3 - 42*m**2 - 130*m - 88. Let a(j) = -2*d(j) + 3*f(j). Factor a(i).
2*(i - 5)*(i + 1)*(i + 3)**2
Let s(f) be the second derivative of -1/33*f**4 - 1/11*f**3 + 2/11*f**2 + 3/110*f**5 + 0 - 11*f. Factor s(u).
2*(u - 1)*(u + 1)*(3*u - 2)/11
Let w be 31/(-372)*(0/3 + -27). Solve 3/2*d**2 - w*d - 3/2 = 0 for d.
-1/2, 2
Let p(r) be the second derivative of -2/3*r**4 - 3*r - 3 + 2*r**3 - 1/5*r**5 + 0*r**2. Suppose p(v) = 0. Calculate v.
-3, 0, 1
Let b(q) be the second derivative of 0 + 7/135*q**6 - q**2 + 5/9*q**3 + 1/27*q**4 - 8*q - 1/189*q**7 - 7/45*q**5. Let b(s) = 0. Calculate s.
-1, 1, 3
Suppose 4*l - 3961 - 599 = 0. Find w such that -1136*w**2 + l*w**2 - 1 - 4*w + 1 = 0.
0, 1
Let o(y) be the first derivative of 2*y**5/55 + 3*y**4/22 - 4*y**3/11 - 8*y**2/11 + 535. Suppose o(k) = 0. Calculate k.
-4, -1, 0, 2
Let f(p) be the third derivative of -p**7/2772 - p**6/495 - p**5/220 + p**4/2 + 3*p**2. Let x(k) be the second derivative of f(k). Factor x(i).
-2*(i + 1)*(5*i + 3)/11
Let j be (-424)/106 + (-18)/(-4). Suppose -1/4*f**4 - j*f**2 + 0 - 3/4*f**3 + 0*f = 0. What is f?
-2, -1, 0
Let v(d) = -d**2 - 12*d - 27. Let y be v(-7). Factor y*h**3 - 27*h**2 + 4*h + 73*h**2 - 16*h.
2*h*(h + 6)*(4*h - 1)
Let k(v) = -11*v**4 + 151*v**3 - 1466*v**2 + 5621*v - 7781. Let c(o) = -6*o**4 + 75*o**3 - 735*o**2 + 2811*o - 3891. Let m(u) = -5*c(u) + 3*k(u). Factor m(y).
-3*(y - 9)**2*(y - 4)**2
Let w = -15 + -5. Let d(j) = j**3 + 5*j**2 + 2*j + 4. Let g(z) = -z**2 - 2*z - 1. Let n(b) = w*g(b) - 5*d(b). Let n(x) = 0. Calculate x.
-3, 0, 2
Let g = 437 + -434. Let u(t) be the first derivative of 0*t + 7 + 3/4*t**4 + 0*t**2 - 1/5*t**5 - 2/3*t**g. Factor u(f).
-f**2*(f - 2)*(f - 1)
Factor 0 - 20/3*t**3 + 2/3*t**4 + 6*t**2 + 0*t.
2*t**2*(t - 9)*(t - 1)/3
Let z(m) be the first derivative of m**5/50 - m**4/6 - 2*m**3/5 + 16*m - 25. Let r(f) be the first derivative of z(f). Factor r(c).
2*c*(c - 6)*(c + 1)/5
Let u(d) = d**3 + 11*d**2 + 13*d + 33. Let q be u(-10). Let f be -5*q*((-48)/15 + 3). Factor 1/3*v**2 + 1/9 + 1/9*v**f + 1/3*v.
(v + 1)**3/9
Suppose 16*x**4 - 722*x**3 + 376*x**2 + 14*x**4 + 520*x**3 - 200*x + 32 + 0*x**4 = 0. What is x?
1/3, 2/5, 2, 4
Let q = -33 + 39. Solve 3*t**4 - 3*t**2 - 3*t**3 + 6*t**3 - q*t**3 + 9*t**3 - 6*t = 0 for t.
-2, -1, 0, 1
Suppose -7*x = -11*x + n + 11, 2*x + 2*n - 8 = 0. Let 9/2*u**2 - u**x - 6*u + 2 = 0. What is u?
1/2, 2
Let v(w) = -9*w**3 - 90*w**2 + 120*w + 21. Let l(x) = x**3 + 9*x**2 - 12*x - 2. Let n(t) = -21*l(t) - 2*v(t). Factor n(j).
-3*j*(j - 1)*(j + 4)
Factor 6*n**4 + 2*n**3 + 0*n**3 - 14*n**5 + 16*n**5 - 2*n**4.
2*n**3*(n + 1)**2
Let f be (-2 - -4) + 18576/(-15960). Let l = f + 2/95. Determine d, given that -2/7*d**2 - 6/7*d + l*d**3 - 2/7*d**4 + 4/7 = 0.
-1, 1, 2
Let s(w) be the first derivative of 0*w**2 + 0*w - 9/5*w**5 + 1/2*w**6 - 10 + 0*w**3 + 3/2*w**4. Solve s(p) = 0 for p.
0, 1, 2
Let p be ((-88)/220)/((1 - 1) + -1). Find l, given that 0*l + 2*l**3 - 8/5*l**4 - p*l**2 + 0 = 0.
0, 1/4, 1
Suppose -634*c + 639*c + 3*q = 7, 0 = 2*c + 4*q. Let 1/3*z**c - 1/3 + 0*z = 0. What is z?
-1, 1
Suppose 6*s - 52 = 10*s. Let p = s + 16. Solve -5*y**p - y**2 + 0*y**2 - 2*y**4 - y**4 + y = 0.
-1, 0, 1/3
Let h(v) be the second derivative of 0*v**2 - 1/56*v**7 - 11*v + 0 + 5/16*v**4 + 9/80*v**5 - 1/40*v**6 + 1/4*v**3. Suppose h(l) = 0. What is l?
-1, 0, 2
Factor 33*q**2 - 159 - 14*q**3 - 11*q - 61*q + 7*q**3 + 4*q**3 + 51.
-3*(q - 6)**2*(q + 1)
Let r = 342 + -337. Let j(t) be the third derivative of 0*t**4 + 0*t**3 - 2*t**2 + 0 + 0*t - 1/30*t**r - 1/60*t**6. Suppose j(w) = 0. What is w?
-1, 0
Suppose 4*a + 5 = -3*t - 26, 0 = t - 3*a - 7. Let c be (4 - 1) + t + -3 + 7. Determine r, given that -1/3*r**c - 2/3*r - 1/3 = 0.
-1
Suppose -4*w = f + 12, w = 3*w + 6. Let g(l) be the third derivative of -2*l**2 + 0*l + 1/60*l**5 + 1/24*l**4 - 1/3*l**3 + f. Factor g(a).
(a - 1)*(a + 2)
Let a(n) = -3*n**3 - 59*n**2 - 174*n + 38. Let o be a(-16). Let 0*z**3 + 0*z + 45/2*z**5 - 93/2*z**4 + 0 + o*z**2 = 0. What is z?
-1/3, 0, 2/5, 2
Let h(d) = 3*d**3 - 180*d**2 + 183*d + 360. Let y(o) = -2*o**3 + 180*o**2 - 184*o - 361. Let n(s) = -5*h(s) - 6*y(s). Factor n(k).
-3*(k - 2)*(k + 1)*(k + 61)
Let h be -7*14/(-49) + (1 - 0). Let k(a) be the second derivative of a + 0 - 1/12*a**h - 1/8*a**4 + 0*a**2. Factor k(o).
-o*(3*o + 1)/2
Let z(s) = -3*s**2 - 8*s - 7. Let j(m) = 4*m**2 + 9*m + 6. Let y(g) = g**2 - 7*g + 4. Let n be y(7). Let b(f) = n*j(f) + 6*z(f). Let b(q) = 0. Calculate q.
-3
Factor -1088*w - 28182 - 52427 - 23778 + 30403 - 3*w**2 - w**2.
-4*(w + 136)**2
Suppose -18/7*y + 1/7*y**4 + 2/7*y**3 - 8/7*y**2 - 9/7 = 0. What is y?
-3, -1, 3
Let -1/7*z**2 + 40/7 + 1/7*z**3 - 22/7*z = 0. What is z?
-5, 2, 4
Factor 72 - 3*p**2 - 3219*p + 3245*p + 5*p**2.
2*(p + 4)*(p + 9)
Let a(s) be the third derivative of -s**7/1260 + s**6/540 + 2*s**3/3 + 4*s**2. Let p(h) be the first derivative of a(h). Factor p(n).
-2*n**2*(n - 1)/3
Let n(v) = v**2 - 6*v + 5. Let t be n(6). Let u(i) be the second derivative of -1/18*i**4 + 0*i**2 - 1/60*i**t + 0*i**3 - 3*i + 0. Determine q so that u(q) = 0.
-2, 0
Let z be 2/(-63)*81/(-108). Let a(i) be the second derivative of 0*i**2 + 1/21*i**3 + 0 - z*i**4 - 4*i. Determine w so that a(w) = 0.
0, 1
Let s be (-112)/(-1624) + 85/29. Solve 2/11*v**s - 8/11*v**2 + 10/11*v - 4/11 = 0 for v.
1, 2
Suppose 9/5*w**2 - 6/5 + 3/5*w**3 - 3/5*w - 3/5*w**4 = 0. Calculate w.
-1, 1, 2
Let d(i) = i**3 - i**2 + i + 4. Let m be d(0). Suppose t + 3 = m*t. Factor 0*z**2 - 6*z**2 + t + 5*z**2.
-(z - 1)*(z + 1)
Let x(a) = -a**3 + 108*a**2 - 4338*a + 54872. Let t(v) = -v**2 - v. Let i(m) = -6*t(m) + x(m). Solve i(z) = 0.
38
Let r be ((-110)/(-25) - 4) + 96/(-15). Let h be (21/(-14))/(r/12). Factor 0 + 8/7*x**h + 10/7*x**2 + 4/7*x + 2/7*x**4.
2*x*(x + 1)**2*(x + 2)/7
Let