e second derivative of 0 + 5/126*t**4 + 5*t + 0*t**2 + 1/315*t**6 - x*t**3 - 2/105*t**5. What is b in u(b) = 0?
0, 1, 2
Let j(i) be the second derivative of i**6/24 + i**5/3 - 5*i**4/8 + 11*i**3/6 - 4*i. Let f(o) be the second derivative of j(o). Suppose f(y) = 0. Calculate y.
-3, 1/3
Suppose 0*w - 3*w + 15 = -3*v, -2*w + 19 = -5*v. Solve 4*z - z**w + 3*z**2 - 62 + 64 - 8*z = 0.
1
Suppose 32 = -3*a + 128. Let d = -91/3 + a. Let 2/3*m**2 - 1/3*m**5 + 0*m + 4/3*m**4 - d*m**3 + 0 = 0. What is m?
0, 1, 2
Let a = 29 + -30. Let g be -3 + (a - -8) + -4. Solve 8*t**2 + t - 13*t**2 + g*t**2 + 4*t = 0.
0, 1
Let j(m) = m + 7. Let p be j(-5). What is g in 6*g + 12*g**5 - 11*g**2 - 6*g**2 + 0*g**2 - 3*g**4 + 2*g**p - 36*g**3 = 0?
-1, 0, 1/4, 2
Let f(a) = -592*a + 1187. Let d be f(2). Suppose -1 + 11/4*w**2 + w - 9/4*w**4 - 3/2*w**d = 0. What is w?
-1, 2/3
Factor 2*x**2 + 8 + 6*x + 0*x**2 - 10*x**2 + 6*x**2.
-2*(x - 4)*(x + 1)
Let r(h) be the first derivative of h**3/6 + 33*h**2/4 + 31*h - 178. Determine g, given that r(g) = 0.
-31, -2
Let a(t) = -7*t**4 + 6*t**3 + t**2 + 4*t. Let j(z) = 2*z**4 - z**3 - z. Let d(s) = -a(s) - 4*j(s). Factor d(b).
-b**2*(b + 1)**2
Let t(a) = -a**2 + 2*a - 2. Let z(b) = 4 + 0*b**2 - 3 - 5*b + 4 + 2*b**2. Let n(c) = -15*t(c) - 6*z(c). Solve n(l) = 0.
0
Let q(o) be the first derivative of 4/45*o**3 + 0*o**2 + 3/10*o**4 + 14/75*o**5 + 0*o + 7. Let q(k) = 0. What is k?
-1, -2/7, 0
Find j, given that -2 + 1/3*j + 1/3*j**2 = 0.
-3, 2
Let x(u) be the second derivative of -1/4*u**5 + 0*u**2 - 20*u + 5/42*u**7 - 5/12*u**4 + 0*u**3 + 1/6*u**6 + 0. Factor x(f).
5*f**2*(f - 1)*(f + 1)**2
Let h be (1 - 7/(-5))/(2*-1). Let r = h + 8/5. Suppose -r*f**2 - 2/5*f + 0 = 0. What is f?
-1, 0
Factor 36*o + 1/2*o**2 + 648.
(o + 36)**2/2
Let a(o) = -o**2 - 10*o - 15. Let c be a(-8). Let h(g) be the first derivative of -2/9*g + c + 2/9*g**2 - 2/27*g**3. Factor h(b).
-2*(b - 1)**2/9
Determine v, given that -5*v**4 + 0*v**4 - 587*v - 1985*v**2 + 4410 - 179*v**3 + 692*v + 2520*v - 26*v**3 = 0.
-21, -1, 2
Let h(c) be the second derivative of c**5/25 + 11*c**4/15 + 64*c**3/15 + 56*c**2/5 - 14*c + 13. Factor h(u).
4*(u + 2)**2*(u + 7)/5
Let u = -5344/11 - -486. Factor -24/11*g + 12/11*g**2 - u*g**3 + 16/11.
-2*(g - 2)**3/11
Suppose 5*d - 21 + 1 = 0. Let g be (-1)/d - 176/(-192). Factor 2/3*k**3 - g*k + 2/3 - 2/3*k**2.
2*(k - 1)**2*(k + 1)/3
Let a = 20 - 16. Solve -4*x**2 + a*x**4 - x**5 - x**4 + 0*x**2 - 3*x**3 + 5*x**2 = 0.
0, 1
Let v be -2 - (-32)/(-252)*-12. Let y = v + 38/21. Factor 4/9*q**2 + 0 - 14/9*q**3 + 0*q + y*q**4.
2*q**2*(2*q - 1)*(3*q - 2)/9
Let b(m) be the second derivative of 4*m**7/357 - 28*m**6/51 + 1153*m**5/170 + 210*m**4/17 + 108*m**3/17 - 3*m + 3. Find a, given that b(a) = 0.
-1/2, 0, 18
Let n(u) be the second derivative of 5*u**6/3 - 8*u**5 - 188*u**4/3 - 256*u**3/3 - 48*u**2 - 322*u. Find j such that n(j) = 0.
-2, -2/5, 6
Let f be (7 + -9 - -1)*-1. Let j(y) be the first derivative of -3/4*y + 1/16*y**4 - 1/12*y**3 - 5/8*y**2 + f. Determine c so that j(c) = 0.
-1, 3
Let o = 16534 - 16534. Suppose -16/3*f - 64/9 + o*f**2 + 4/9*f**3 = 0. Calculate f.
-2, 4
Let g(b) = b**2 - 8*b - 9. Let f(v) = -v**2 + 7*v + 8. Suppose 0 = -2*u - 2 - 6. Let z(q) = u*g(q) - 5*f(q). Factor z(w).
(w - 4)*(w + 1)
Let k(x) = x - 2. Let w be k(4). Find s, given that -2*s + 3*s + 2*s**w + 6 - 3*s**2 + 0*s = 0.
-2, 3
Let n(d) = -14*d**2 - 654*d - 2275. Let b(q) = -3*q**2 - 128*q - 455. Let c(u) = -11*b(u) + 2*n(u). Let c(w) = 0. What is w?
-13, -7
Let d(n) be the first derivative of 2/45*n**3 - 1/5*n**2 - 15 + 4/15*n. Factor d(j).
2*(j - 2)*(j - 1)/15
Let o(d) = -4*d - 1. Let p(h) = -5*h - 1. Let v(g) = 4*o(g) - 3*p(g). Let a be v(-6). Let 54 + 54 - 10*w + a*w**3 + 5*w**2 - 108 = 0. What is w?
-2, 0, 1
Let h be (-1932)/1296 + -1*(-6)/4. Let i(d) be the third derivative of -2/27*d**3 + 6*d**2 + h*d**4 + 1/270*d**5 + 0 + 0*d. Factor i(q).
2*(q - 1)*(q + 2)/9
Solve 12/5*p**2 + 4/5*p**5 + 4/5*p**3 + 0 - 8/5*p - 12/5*p**4 = 0 for p.
-1, 0, 1, 2
Let r(n) = 24*n**3 + 44*n**2 + 80*n + 96. Let v(d) = -d**3 - d**2. Let p(z) = -2*r(z) - 44*v(z). Solve p(b) = 0 for b.
-4, -3
Let o = -112 - -115. Determine q, given that q + 2/3 - q**o - 1/3*q**2 - 1/3*q**4 = 0.
-2, -1, 1
Suppose -4*d - 4 = -4*u - 0, 4*u - 24 = -d. Let z(r) be the first derivative of -8 + 3*r**3 - 26*r + 74*r - u*r**3 + 12*r**2 + 3*r**3. Factor z(q).
3*(q + 4)**2
Let c(b) = -b + 6. Let y be c(8). Let i(n) = -133*n**2 - 37*n - 7. Let h(l) = l**2 + l + 1. Let z(a) = y*i(a) - 10*h(a). Factor z(t).
4*(8*t + 1)**2
Factor y**2 - 10 - 39/2*y.
(y - 20)*(2*y + 1)/2
Let q(x) be the first derivative of 3*x**5/5 - 15*x**4/4 + 9*x**3 - 21*x**2/2 + 6*x - 88. Determine d so that q(d) = 0.
1, 2
Let r(j) = 3*j**3 + 190*j**2 - 2*j. Let b(h) = -5*h**3 - 380*h**2 + 5*h. Let s(u) = 2*b(u) + 5*r(u). Factor s(l).
5*l**2*(l + 38)
Let p = -19 + 39. What is n in p*n - 45*n**3 + 35*n**5 - 60*n**2 - 9*n**3 - n**3 + 60*n**4 = 0?
-2, -1, 0, 2/7, 1
Let d(y) be the first derivative of -y**5/10 - 13*y**4/8 - 23*y**3/3 - 3*y**2 + 36*y + 2. Solve d(a) = 0.
-6, -2, 1
Let c be (-5)/20 + 33/44 + 4. Factor 3/2*a**3 + c*a**2 - 15/2*a + 3 - 3/2*a**4.
-3*(a - 1)**3*(a + 2)/2
Let n(y) be the second derivative of y**7/1540 + 7*y**6/3960 - y**5/330 + y**4 - 12*y. Let f(q) be the third derivative of n(q). Find v such that f(v) = 0.
-1, 2/9
Let a(q) be the first derivative of 1 - 1/6*q**3 + 3*q - 1/6*q**4 - 1/20*q**5 + 0*q**2. Let y(s) be the first derivative of a(s). Factor y(p).
-p*(p + 1)**2
Let m = 53 + -50. Suppose -3*i + 15 = 5*p, -2*i = 5*p - 23 + 8. Solve -j**2 + 0 + 0*j - p*j**m - 9/4*j**4 = 0 for j.
-2/3, 0
Let f be (34/4)/(-5 - (-99)/144). Let y = -30/23 - f. Find i, given that -i**2 - y*i - 5/3*i**5 + 0 + 7/3*i**3 + i**4 = 0.
-1, -2/5, 0, 1
Let b = -2/873 + 2330/873. Find s such that 2 - b*s - 14/3*s**2 = 0.
-1, 3/7
Let q(r) = -2*r**3 + r**2 - r - 1. Let b be q(-1). Suppose g + b*g = g. Factor 0 - 2/5*z**4 + 2/5*z**2 + 0*z**3 + g*z.
-2*z**2*(z - 1)*(z + 1)/5
Suppose -u + 12 = u - 3*o, o = 5*u - 17. Let p be (2/(-4))/(5/(-20)). Find c, given that 0*c**3 - 4*c**3 - u*c + 6*c**p + c**3 = 0.
0, 1
Let r be 78/(-12)*-2 + (-3 - -1). Suppose 3*k + r = 3*g - 4, -5 = 2*g + 3*k. Suppose 1/3*b**3 - 1/3*b - 1/3*b**g + 1/3 = 0. Calculate b.
-1, 1
Suppose -3*w - 5*k + 29 = 0, 0 = -2*w + 5*k - 137 + 123. Determine m, given that 2/9 - 2/9*m**2 - 2/9*m + 2/9*m**w = 0.
-1, 1
Let g be 84*(-4 - 28/(-6)). Let m be (-2)/14 + 57/g. Solve -3/8*d**2 + 1/4*d - m*d**4 - 3/2*d**3 + 0 = 0 for d.
-1, 0, 2/7
Let a be -30 + (-2)/(-6)*3. Let r = a + 31. Suppose 2/9*w + 10/9*w**r - 4/9 + 4/9*w**3 = 0. Calculate w.
-2, -1, 1/2
Let u(l) be the third derivative of -l**5/12 + 35*l**4/24 - 25*l**3/3 + 413*l**2. Find c, given that u(c) = 0.
2, 5
Let u(y) be the second derivative of 0 - 1/21*y**3 + 0*y**5 - 1/21*y**4 + 0*y**2 + 1/147*y**7 + 2/105*y**6 + y. Factor u(m).
2*m*(m - 1)*(m + 1)**3/7
Find m, given that -16/3*m + 8/3 - 2/3*m**3 + 10/3*m**2 = 0.
1, 2
Let z(c) = -c**2 - c. Let d(n) = 18*n**3 - 167*n**2 + 279*n + 72. Let p(s) = -2*d(s) + 18*z(s). Determine y so that p(y) = 0.
-2/9, 3, 6
Factor 1/2*v - 1/4*v**4 + 5/4*v**2 - 1/4*v**5 + 3/4*v**3 + 0.
-v*(v - 2)*(v + 1)**3/4
Suppose -132 = -5*w - 27. Suppose -p + w - 19 = 0. Determine h so that -8/5*h**2 + 2/5*h**3 - 4/5 + p*h = 0.
1, 2
Let -54 + 0*d**3 + 3*d**3 + 21*d - 13*d**3 + 30*d**2 + 13*d**3 = 0. Calculate d.
-9, -2, 1
Let h = -2183 - -2185. Determine p, given that 4/3*p**h + 0 + 0*p - 4/3*p**3 = 0.
0, 1
Suppose 10 = 3*u + 2*g, -4*u + 2*g + 3*g + 21 = 0. Solve -5*t + 6 - 147*t**3 + 22*t + 168*t**u + 7*t - 48*t**5 + 9*t - 12*t**2 = 0 for t.
-1/4, 1, 2
Suppose 128 = 10*h - 52. Determine m so that h + 18*m + 2/3*m**3 + 6*m**2 = 0.
-3
Factor -4 - n**2 + 30*n - 28*n + 3*n.
-(n - 4)*(n - 1)
Let x be ((-6)/(-10))/(3/15). Suppose 5 = t - n, -t + x*n + 0*n = -5. Find y such that -15 - 15*y**4 + 10*y - 6*y**3 + 42*y**2 - 12 + 65*y**t - y - 68*y**5 = 0.
-3, -1, 1
Let g(n) be the first derivative of 1/3*n + 22 + 0*n**2 - 1/9*n**3. Factor g(f).
-(f - 1)*(f + 1)/3
Let c be (8/38)/((-35)/(13965/(-42))). Factor -4 + 8*u - 6*u**c + 2*u**3 - 1/4*u**4.
-(u - 2)**4/4
Find k, given that 291*k + 297*k**2 - 41*k**3 + 0*k**2 + 3*k**4 + 146*k**3