et 1340/7*g**2 - 454/7*g**3 + 80/7 - 88*g + 14*g**5 - 64*g**4 = 0. What is g?
-2, 2/7, 1, 5
Let j(o) be the third derivative of -o**7/1365 + 9*o**6/260 - 5*o**5/26 + 73*o**4/156 - 8*o**3/13 - 317*o**2. Suppose j(y) = 0. Calculate y.
1, 24
Let b(c) be the first derivative of c**6/75 + c**5/10 + c**4/5 - 3*c - 16. Let n(s) be the first derivative of b(s). Factor n(p).
2*p**2*(p + 2)*(p + 3)/5
Suppose 5*n + 0*n = -2*x - 47, 5*x = 5*n + 40. Let k be 2 + (7 - 10) + (-17)/n. Factor 0 - 4/9*j - k*j**3 + 10/9*j**2 + 2/9*j**4.
2*j*(j - 2)*(j - 1)**2/9
Solve 1/4*a**2 + 7/4*a + 3 = 0.
-4, -3
Let d be (31/(-186))/(1/3)*(-360)/99. Suppose -2/11 + d*h**3 + 24/11*h - 42/11*h**2 = 0. Calculate h.
1/10, 1
Let i(m) be the first derivative of -100/3*m**3 + 19*m**4 + 32*m**2 - 6 - 28/5*m**5 - 16*m + 2/3*m**6. Factor i(j).
4*(j - 2)**2*(j - 1)**3
Let h(o) be the second derivative of 5/6*o**2 + 0 - 2/9*o**3 - 1/36*o**4 + o. Suppose h(m) = 0. What is m?
-5, 1
Let r be 8/(-2) + 15*1. Determine o, given that -12*o**4 + r*o - 11*o + 6*o**3 - 2*o**3 + 12*o**2 - 4*o**5 = 0.
-3, -1, 0, 1
Let l be (0 - 3) + 4/4. Let d be 9/2 - (-3)/(1 + l). What is g in 3/2*g + 3/4 - 3/4*g**4 - d*g**3 + 0*g**2 = 0?
-1, 1
Let z be (-2)/(8 + -19 + 7 - -1*1). Factor -2/15*l**3 - z*l**2 - 14/15*l - 2/5.
-2*(l + 1)**2*(l + 3)/15
Factor -7*d**3 - 972 + 5148*d**4 - 216*d**2 - 5112*d**4 + 4*d**5 - 972*d + 79*d**3.
4*(d - 3)*(d + 3)**4
Suppose -18*n - 6 = -5*p - 19*n, -4*p + 4 = n. Let m be 3/8*(-1 + 5). Determine s so that -1/2*s**4 + 0 - m*s**3 + 0*s**2 + p*s = 0.
-2, 0, 1
Let d be (0 + 4/152)/(77/(-28) - -3). Solve -4/19*f + 2/19*f**2 + 0 + d*f**3 = 0.
-2, 0, 1
Solve -18*a**3 + 0*a**3 - 10660*a**2 + 10676*a**2 + 2*a**4 = 0.
0, 1, 8
Let v(z) be the second derivative of z**5/4 - 2*z**4/3 + z**3/6 + z**2 + 2*z + 3. Factor v(m).
(m - 1)**2*(5*m + 2)
Let m(g) = -g**3 + g**2 - 3*g + 5. Let w be m(4). Let r = -52 - w. Determine d so that 3/7*d**r - 9/7*d + 0 + 6/7*d**2 = 0.
-3, 0, 1
Let t(p) = p - 4. Let q be t(9). Let h(k) be the third derivative of 2/15*k**3 + 0 - 5*k**2 - 1/60*k**4 + 0*k - 1/150*k**q. Let h(y) = 0. Calculate y.
-2, 1
Let f be ((-8)/14)/(4/(-10)). Let c = -262895/7 + 37557. Factor -16/7*k**3 + f*k**4 + 2/7*k**2 + 0 + c*k.
2*k*(k - 1)**2*(5*k + 2)/7
Let c be -6 + 5 - 7/((-21)/(-6)). Let g(v) = 3*v**2 + 26*v + 3. Let d(o) = o**2 + 14*o + 1. Let a(i) = c*g(i) + 5*d(i). Factor a(m).
-4*(m + 1)**2
Let h(n) = -12*n**2 - 23*n + 9. Let q(c) = 6*c**2 + 11*c - 5. Let s = 28 - 14. Let f(o) = s*q(o) + 6*h(o). Factor f(i).
4*(i + 2)*(3*i - 2)
Let u = 6 + 3. Suppose -k - 5 = -u. Factor -30*a**2 + 30*a**2 + k*a**4 - a**3 - 3*a**3.
4*a**3*(a - 1)
Let i be (7011/82)/57 + (-2)/(-4). Determine m so that -2/7*m**2 + i*m + 16/7 = 0.
-1, 8
Let f be 27/54 + (21/6 - 6/9). Factor 0*u + 5/3*u**3 + f*u**2 + 0.
5*u**2*(u + 2)/3
Let s(z) = 2*z**3 + 6*z**2 - 2*z + 6. Let k(w) be the first derivative of 1/2*w**2 + 8 - 1/2*w**4 - 5*w - 2*w**3. Let g(u) = 6*k(u) + 5*s(u). Factor g(p).
-2*p*(p + 1)*(p + 2)
Factor -36*x**2 + 176 - 19*x**2 - 5*x**3 - 38 + 37 - 115*x.
-5*(x - 1)*(x + 5)*(x + 7)
Factor -60*n - 88*n**2 + 296/5*n**3 + 4/5*n**5 + 100 - 12*n**4.
4*(n - 5)**3*(n - 1)*(n + 1)/5
Suppose -37 = -a + 5*u, -17 = 5*a - 3*u - 48. Find m, given that 1/9*m**a + 2/9 + 1/3*m = 0.
-2, -1
Solve 3 - b - 15/4*b**2 + 5/4*b**3 - 1/4*b**5 + 3/4*b**4 = 0 for b.
-2, -1, 1, 2, 3
Suppose x + 3*x - 188 = 0. Let s be 77/42 - (-5)/30. What is v in -x*v**3 + 35/2*v**4 + 2 - 16*v + 87/2*v**s = 0?
2/7, 2/5, 1
Let d(p) = -p**2 + 16*p + 17. Let q be d(17). Factor -u**3 + u + 84 + 2*u**2 - 165 + 79 + q*u.
-(u - 2)*(u - 1)*(u + 1)
Factor -18*b + 5*b**5 + 50*b - 27*b - 10*b**3.
5*b*(b - 1)**2*(b + 1)**2
Let i be 10/(-2) - ((-361)/72 - 10/90). What is h in -3/2*h - 3/8*h**4 + 17/8*h**3 - 5/8*h**5 - i*h**2 + 1/2 = 0?
-2, -1, 2/5, 1
Let w be 37/((-1443)/26) + (-4)/(-6). Let 2/3*p**2 + 0 + w*p = 0. What is p?
0
Let s(x) be the third derivative of -1/2*x**3 + 0 - 1/120*x**6 - 3*x**2 + 0*x + 0*x**4 + 1/20*x**5. Let i(t) be the first derivative of s(t). Factor i(b).
-3*b*(b - 2)
Let t be (-75)/85 + 1 + 20134/(-340). Let a = 119/2 + t. Factor 0*s**2 + 0 + 0*s + a*s**3 - 2/5*s**4.
-2*s**3*(s - 1)/5
Suppose 13 - 53 = 5*l. Let c be 16/4 - (-26)/l. Factor -c*g**2 - 3/4*g + 0.
-3*g*(g + 1)/4
Let u be (-2)/(-6) - 17/(-3). Let f be u/14 - 138/(-21). Suppose 2*v**2 - v**3 + f*v**3 + 3*v**4 + v**2 = 0. What is v?
-1, 0
Suppose -6*x + 37 = 25. Solve 0*i**3 + 11*i**2 - 36*i**x - 5*i**3 + 10*i**2 = 0.
-3, 0
Let d(y) = -2*y**2 + 2*y + 6. Let w(a) = -a**2 + a + 1. Let s(n) = -d(n) + 6*w(n). Factor s(m).
-4*m*(m - 1)
Suppose 44*x = -l + 41*x + 2, l - 4*x = 2. Let -2/23*d**l - 4/23 + 6/23*d = 0. What is d?
1, 2
Let i(k) be the third derivative of -k**6/40 + 7*k**5/20 + k**4 + 4*k**2 + 20*k. Factor i(c).
-3*c*(c - 8)*(c + 1)
Let o(f) be the second derivative of -1/4*f**4 + 0 - 3*f**2 - 32*f - 3/2*f**3. What is c in o(c) = 0?
-2, -1
Determine u, given that 94*u**3 + 430*u**2 - 190*u**3 - 28*u**2 + 93*u**3 + 237*u**2 = 0.
0, 213
Suppose 7 = -3*d - 5*k + 22, -2*d - 9 = -3*k. Let h = 2701/4385 + -14/877. Factor -3/5*r**2 + h*r + d.
-3*r*(r - 1)/5
Suppose -12*a - 99*a**3 + 75/2*a**5 + 15/2*a**4 + 0 + 66*a**2 = 0. What is a?
-2, 0, 2/5, 1
Let y(p) be the first derivative of -p**4/18 + 4*p**3/27 + 52. Factor y(v).
-2*v**2*(v - 2)/9
Suppose -3*u = -6, 3*u = -z + 5*u. Let v be (-10)/z*(60/5)/(-6). Let 0*p + 1/2*p**3 + 0 - 1/2*p**v - 1/2*p**2 + 1/2*p**4 = 0. Calculate p.
-1, 0, 1
Let d = 1807/105 + -120/7. Let g(v) be the third derivative of 5*v**2 + 0*v**4 + d*v**5 + 0*v + 0 + 0*v**3. Factor g(k).
4*k**2
Let o be 24/1596*19*(-14)/(-16). Factor 1/4*h**3 - 7/4 - o*h + 7/4*h**2.
(h - 1)*(h + 1)*(h + 7)/4
Suppose -444*z + 3*z**4 + 32 + 278*z + 278*z - 40*z**2 + 28*z**5 - 140*z**3 + 5*z**4 = 0. Calculate z.
-2, -1, -2/7, 1, 2
Let g be ((-2)/72)/(-27 - (-215)/8). Factor g*r**2 + 0*r - 2/9.
2*(r - 1)*(r + 1)/9
Let k(v) = -14*v - 7. Let a be k(-2). Let h be a/(-6) - -1*4. What is q in 2*q**5 - h*q - 5/2*q**2 + 5/2*q**4 - 3/2*q**3 + 0 = 0?
-1, -1/4, 0, 1
Let z(d) be the second derivative of 13/10*d**6 + 0*d**3 - 11/14*d**7 + 0*d**2 + 22*d + 0 + 0*d**4 - 3/10*d**5. What is f in z(f) = 0?
0, 2/11, 1
Suppose -3*u + 107 - 92 = 0. Let h(g) be the first derivative of 12/5*g**u + 2*g**2 - 5*g**4 + 24*g + 4 - 52/3*g**3. Factor h(m).
4*(m - 3)*(m + 1)**2*(3*m - 2)
Suppose 3*i = -0*i + 3*u - 3, 0 = 2*u + 2. Let x(w) = w + 2. Let v be x(i). Solve -1/3*g + v - 1/3*g**2 + 1/3*g**3 + 1/3*g**4 = 0 for g.
-1, 0, 1
Let t be (14/(-8) - -2)*(-1616)/(-303). Determine o so that 0 - t*o**2 + 0*o - 2/3*o**4 + 2*o**3 = 0.
0, 1, 2
Let x(i) = -5*i**2 - 3*i - 2. Let a(m) = -5*m**2 - 3*m - 1. Suppose -4 = 6*c + 14. Let u(o) = c*x(o) + 4*a(o). Let u(y) = 0. Calculate y.
-1, 2/5
Let l(r) = 26*r + 2. Let k be l(0). Let c(j) be the first derivative of -9/4*j**4 - 6 + 12/5*j**5 + 3*j + 9/2*j**k - 5*j**3. Factor c(d).
3*(d - 1)**2*(d + 1)*(4*d + 1)
Let k(z) = 2*z**2 - 2*z - 4. Let p(f) = -2*f**2 + 2*f + 4. Let d = -9 - -13. Let v(q) = d*p(q) + 5*k(q). Solve v(m) = 0 for m.
-1, 2
Let f = 8881/48 + -185. Let d(z) be the second derivative of -f*z**4 + 0*z**3 - 1/120*z**6 + 0 + 0*z**2 + z + 1/40*z**5. Let d(i) = 0. What is i?
0, 1
Suppose -2*q + 184 = 4*k, -q - 20 = -6*q. Suppose -40*y - 3*y**2 + 0 + 4 - k*y - 592 = 0. Calculate y.
-14
Let q(k) be the first derivative of k**4/26 + 14*k**3/13 + 99*k**2/13 - 242*k/13 - 175. Factor q(m).
2*(m - 1)*(m + 11)**2/13
Let x(z) be the third derivative of z**5/450 + 13*z**4/30 + 169*z**3/5 - 2*z**2 + 85*z. Factor x(u).
2*(u + 39)**2/15
Let y(l) be the third derivative of -l**6/300 + l**5/75 + 7*l**4/60 + 4*l**3/15 - 37*l**2. Solve y(n) = 0 for n.
-1, 4
Let z(i) be the first derivative of -5*i**4/12 - 5*i + 8. Let q(u) be the first derivative of z(u). Find y such that q(y) = 0.
0
Let x(w) = w**2 + 9*w + 2. Let y be x(-5). Let t = y + 22. Let j**3 - 3*j**t - 2*j**4 + 3*j**4 = 0. Calculate j.
0, 1/2
Factor -10*c**3 + 90*c - 10 - 675*c**2 + 677*c**2 - 8.
-2*(c - 3)*(c + 3)*(5*c - 1)
Let m = 383 + -378. Let a(c) be the second derivative of 5*c + 0*c**2 + 0 - 23/42*c**4 - 2/7*c**3 - 1/10*c**m. Suppose a(p) = 0. What is p?
-3, -2/7, 0
Let l(o) be the second derivative of -o**5/120 + o