8/19*j**3 - 184/19*j + 828/19*j**2 = 0. What is j?
-22, -1/3, 1, 2
Suppose 0 = -6*b + 217 + 155. Let y = -60 + b. Factor 1 - y*l - 5/4*l**2.
-(l + 2)*(5*l - 2)/4
Let j = 1433/63 + -139/7. Let p(s) be the first derivative of -16/3*s**2 + 1 - 8/3*s - j*s**3 - 1/2*s**4. Factor p(d).
-2*(d + 2)**2*(3*d + 1)/3
Factor 2/7*o**2 + 6/7*o - 20/7.
2*(o - 2)*(o + 5)/7
Let p(n) = -n**3 + 24*n**2 + 65*n - 334. Let x be p(26). What is z in -4*z + 15/2*z**2 - 8 + 4*z**3 + 1/2*z**x = 0?
-4, -1, 1
Let h be 36/(-45) + 28/10. Let f(y) be the third derivative of 0*y**3 + 1/180*y**6 + 0*y - 1/18*y**4 - 3*y**h - 1/90*y**5 + 0. Let f(v) = 0. What is v?
-1, 0, 2
Suppose r = 2*p - 3*r - 2, 0 = -p + 4*r - 3. Let z be 0*3/6 + p. What is o in 9*o**z - 4*o**2 - 20*o**3 + 8*o**3 + 3*o**4 + 4*o**3 = 0?
-2/3, 0, 1
Let a(k) be the second derivative of -k**4/66 - 31*k**3/33 - 30*k**2/11 + 253*k + 1. Factor a(c).
-2*(c + 1)*(c + 30)/11
Let i = 20217/88 - 1835/8. Let s = 2 + 0. Determine g, given that 34/11*g + 54/11*g**3 + 84/11*g**s + i = 0.
-1, -1/3, -2/9
Let y(d) be the second derivative of d**4/12 + d**3/6 - 10*d**2 + 36*d + 3. Find v, given that y(v) = 0.
-5, 4
Suppose o = -2*o. Suppose -4*s + o*s + 8 = 0. Solve 1 - 7*y + 3 + s*y**3 + y = 0.
-2, 1
Suppose -m = 3*h - 72, -3*h + 0*h + 2*m = -72. Suppose -6*d - 6 - 9 + h - 3*d**2 = 0. Calculate d.
-3, 1
Let j(p) be the third derivative of -p**10/60480 + p**9/30240 + p**8/6720 + 5*p**4/6 - 17*p**2. Let o(t) be the second derivative of j(t). Factor o(u).
-u**3*(u - 2)*(u + 1)/2
Let t(u) be the second derivative of -9*u**7/14 + 3*u**6/5 + 33*u**5/20 - u**4 - 2*u**3 + 3*u + 27. Solve t(g) = 0 for g.
-2/3, 0, 1
Let k(f) = 5*f**3 - 101*f**2 - 114*f + 8. Let y(s) = 55*s**3 - 1110*s**2 - 1255*s + 90. Let m(d) = -45*k(d) + 4*y(d). Factor m(g).
-5*g*(g - 22)*(g + 1)
Let g(t) be the third derivative of t**7/42 + t**6/6 + t**5/3 + 589*t**2. Factor g(x).
5*x**2*(x + 2)**2
Let k(n) be the first derivative of n**3 + 324*n**2 + 34992*n + 821. Factor k(x).
3*(x + 108)**2
Let y(j) be the third derivative of 0*j - 8/5*j**7 - 8/3*j**3 + 7/24*j**8 + 0 + 137/60*j**6 - 26*j**2 + 13/15*j**5 - 3*j**4. Find r such that y(r) = 0.
-2/7, 1, 2
Let q(s) be the second derivative of -135/2*s**2 - 9*s + 1/4*s**5 - 15/4*s**4 + 45/2*s**3 + 0. Let q(m) = 0. What is m?
3
Let -4/7*g**2 - 52/7 + 8*g = 0. What is g?
1, 13
Solve 77397*q**2 - 80 + 38*q - 77402*q**2 + 12*q = 0.
2, 8
Let a(b) be the second derivative of -2*b**5/45 + 1009*b**4/54 - 7084*b**3/3 + 1764*b**2 + 42*b + 4. Factor a(w).
-2*(w - 126)**2*(4*w - 1)/9
Let q(w) be the third derivative of 1/30*w**3 - 6*w**2 + 0 + 0*w - 1/240*w**4 - 1/600*w**5. Solve q(n) = 0 for n.
-2, 1
Suppose 0 = g - 3*n - 2, 3*g - 2*n = 22 - 16. Let j(m) be the first derivative of m**2 - 6 - g*m - 1/2*m**4 + 2/3*m**3. Let j(y) = 0. What is y?
-1, 1
Solve -1/2*w**3 + 8*w**2 - 81 - 45/2*w = 0.
-2, 9
Suppose -g = -g + 3*g. Suppose g = -5*l + l + 16. Solve 20/9*w**3 + 10/9*w - 2/9 - 10/9*w**l + 2/9*w**5 - 20/9*w**2 = 0.
1
Let r(t) = 24*t**2 + 4*t + 2. Let q be r(-2). Suppose -4*v + q = -v. Let -30*a - 6*a**3 + v*a**2 - 26*a**3 + 4*a**4 + 64 - 98*a + 66*a**2 = 0. What is a?
2
Solve 14/5 - 1/5*g**2 - g = 0.
-7, 2
Let x(q) be the first derivative of q**7/120 - q**6/96 - 3*q**5/80 + 5*q**4/96 + q**3/12 - 7*q**2/2 + 9. Let y(p) be the second derivative of x(p). Factor y(l).
(l - 1)**2*(l + 1)*(7*l + 2)/4
Let v(i) = i**3 - 3*i**2 + 2. Let t be v(0). Let f be (18/(-75))/(2 + (-46)/20). Solve -f*z + 2/5*z**3 + 2/5*z**t + 0 = 0.
-2, 0, 1
Let r(b) be the first derivative of b**5/12 + b**4/2 - 4*b**3/9 - 27*b + 5. Let i(p) be the first derivative of r(p). Factor i(j).
j*(j + 4)*(5*j - 2)/3
Factor p - 5/8*p**2 - 3/8.
-(p - 1)*(5*p - 3)/8
Let c = 26 + -8. Suppose -5*r - 3 = -c. Find v, given that -2*v**r + 4 + 5*v - v + 0*v**3 - 4*v**2 - 2*v**3 = 0.
-1, 1
Let i(z) = z**2 + 4*z + 3. Let b be i(-4). Let j = b + -3. Factor -4*g**2 - g**3 + 2*g + j*g - g**3 + 4*g**3.
2*g*(g - 1)**2
Suppose -23*s + 134 = 106*s - 124. Factor -1/4*a**s + 1/4 + 0*a.
-(a - 1)*(a + 1)/4
Let h(o) be the second derivative of o**6/360 - o**5/60 - o**4/8 - o**3/3 - 10*o. Let p(c) be the second derivative of h(c). Factor p(w).
(w - 3)*(w + 1)
Let o(h) = h**3 + 8*h**2 + 6*h - 4. Let r be o(-7). Let d be 13/78 + (-22)/(-12). Factor 2 - 2*j**r - 2*j**d - 5*j**3 + 7*j + 0*j**3.
-(j - 1)*(j + 1)*(7*j + 2)
Let w(k) be the second derivative of -k**4/16 - 17*k**3/4 - 99*k**2/8 - 81*k. Let w(t) = 0. What is t?
-33, -1
Let z = 77 + -73. Suppose -4*w = 4*a - z, a + 4 - 3 = 0. Factor -1/6*j**w + 1/6 + 0*j.
-(j - 1)*(j + 1)/6
Let n be (-46)/(-345) + 24/495. Let 0 + 0*u + 0*u**2 - n*u**5 - 2/11*u**3 + 4/11*u**4 = 0. Calculate u.
0, 1
Let q be 6/(-4)*(-360)/(-10). Let m be 12/q - (-44)/117. Factor -2/13*d + 0 + m*d**2.
2*d*(d - 1)/13
Let m(r) be the second derivative of -r**6/6 + 2*r**5 - 15*r**4/2 + 40*r**3/3 - 25*r**2/2 + 490*r. Determine z, given that m(z) = 0.
1, 5
Factor 26*p**4 - 33*p**4 + 2*p**2 + 4*p - 4*p**3 + 5*p**4.
-2*p*(p - 1)*(p + 1)*(p + 2)
Let p(h) be the third derivative of h**7/1995 + h**6/190 + h**5/570 - 2*h**4/19 + 16*h**3/57 + 2*h**2 + 54*h. Factor p(z).
2*(z - 1)**2*(z + 4)**2/19
Let s = 175/3 + -523/9. Factor -s*r + 7/9*r**4 - 7/9*r**2 + 0 + 2/9*r**3.
r*(r - 1)*(r + 1)*(7*r + 2)/9
Let n(j) be the first derivative of j**3/3 - 2*j + 2. Let v be n(-2). Determine b, given that 6/7*b**v - 4/7*b + 1/7*b**4 - 4/7*b**3 + 1/7 = 0.
1
Let b(o) be the third derivative of -2*o**7/105 + o**6/40 + 3*o**5/20 + o**4/12 + 22*o**2. Solve b(w) = 0 for w.
-1, -1/4, 0, 2
Let l(a) = -11*a**4 + 7*a**3 + 79*a**2 + 80*a + 32. Let n(h) = 5*h**4 - 4*h**3 - 39*h**2 - 40*h - 16. Let u(t) = -6*l(t) - 13*n(t). Suppose u(r) = 0. What is r?
-4, -1
Let i(w) be the first derivative of -2*w**6/15 - 2*w**5/5 + w**4/3 + 4*w**3/3 - 23*w + 22. Let q(h) be the first derivative of i(h). Let q(d) = 0. Calculate d.
-2, -1, 0, 1
Let p be (((-60)/(-27))/5)/(82/369). Let c(s) be the second derivative of -5/6*s**3 + 5/6*s**p + 6*s + 0 - 1/12*s**5 + 5/12*s**4. What is d in c(d) = 0?
1
Let y be (-4 + 0 + -3)*24/(-56). Let a(h) be the first derivative of 5 - 2/11*h - 4/11*h**2 + 10/33*h**y. Let a(r) = 0. Calculate r.
-1/5, 1
Let x(b) be the first derivative of -6*b - 5/12*b**4 + 28/9*b**3 - 11/2*b**2 + 45. Factor x(d).
-(d - 3)**2*(5*d + 2)/3
Let l = -40502/3 - -13502. Factor 0 + 38/9*d**2 - 14/9*d**3 + l*d.
-2*d*(d - 3)*(7*d + 2)/9
Let z(i) be the first derivative of 2/55*i**5 - 2 + 0*i - 8/33*i**3 + 8/11*i**2 - 1/11*i**4. Suppose z(d) = 0. What is d?
-2, 0, 2
Let i = -39 - -42. Let h(w) = w**2 - 10*w - 171. Let u be h(19). Factor u*x + 0 + 0*x**2 + 1/2*x**i - 2*x**4.
-x**3*(4*x - 1)/2
Find d such that -2/3*d**2 - 16/3*d - 14/3 = 0.
-7, -1
Let y be (-32*60/(-800))/(54/20). Solve -2/3 - 2/9*z**2 + y*z = 0 for z.
1, 3
Let a(z) = 2*z**2 + 28*z - 140. Let v be a(-18). Let t(k) be the second derivative of -16/9*k**2 - 1/54*k**v + 8/27*k**3 - 10*k + 0. Solve t(m) = 0 for m.
4
Let z = 5 + -1. Suppose 2*c = 2*g, 4*c = -z*g - 1 + 25. Find s, given that 0*s - g*s + 3*s**2 + 0*s**2 = 0.
0, 1
Let n(b) = b**3 + 3*b**2 - 2*b + 2. Let v be n(-3). Factor v*u**2 + 3*u**2 - u**3 - 5*u**4 - 6*u**2 + u.
-u*(u - 1)*(u + 1)*(5*u + 1)
Let z = -494/5 + 99. Let h(l) be the first derivative of 7 + 1/5*l**2 + 1/5*l**3 - z*l. Factor h(u).
(u + 1)*(3*u - 1)/5
Let b(a) be the first derivative of 12 + 13/16*a**2 - 3/8*a - 1/6*a**3. Factor b(d).
-(d - 3)*(4*d - 1)/8
Let f(v) be the first derivative of -v - v**3 + 16 - 1/4*v**4 - 3/2*v**2. Factor f(z).
-(z + 1)**3
Let s(t) be the first derivative of t**6/18 + 4*t**5/15 + t**4/4 - 4*t**3/9 - 2*t**2/3 - 102. Factor s(a).
a*(a - 1)*(a + 1)*(a + 2)**2/3
Determine l, given that 2/23*l**2 - 2/23*l + 56/23*l**3 + 40/23*l**4 - 96/23*l**5 + 0 = 0.
-1/2, -1/4, 0, 1/6, 1
Let r(u) = -4*u**4 - 81*u**3 - 386*u**2 - 761*u - 442. Let z(j) = -6*j**4 - 122*j**3 - 578*j**2 - 1142*j - 664. Let m(v) = -8*r(v) + 5*z(v). Factor m(h).
2*(h + 1)*(h + 3)**2*(h + 12)
What is h in 2/9*h**4 - 2/9*h**2 + 2/9*h**5 - 8/9 - 10/9*h**3 + 16/9*h = 0?
-2, 1
Let k = 4/15 + 28/45. Let q(n) = -6*n - 46. Let j be q(-8). Determine r, given that k*r - 2/3 - 2/9*r**j = 0.
1, 3
Let r(j) be the third derivative of -10*j**5/21 - 5*j**4/3 - 7*j