 is j?
0
Let s(g) be the first derivative of 1/4*g**2 + 1 + 0*g**3 - 1/8*g**4 + 0*g. Find z such that s(z) = 0.
-1, 0, 1
Let t(p) be the third derivative of -p**5/30 - 7*p**4/24 + 2*p**3/3 - p**2. Factor t(b).
-(b + 4)*(2*b - 1)
Let n(b) = -b**2 + 8*b. Let z be n(8). Suppose z = -9*f + 8*f + 4. Solve -1/4 + 1/2*w**2 - 1/2*w**3 + 1/4*w - 1/4*w**f + 1/4*w**5 = 0.
-1, 1
Let s(f) be the second derivative of f**9/30240 - f**8/4480 + f**7/1680 - f**6/1440 + f**4/6 - 3*f. Let k(l) be the third derivative of s(l). Factor k(x).
x*(x - 1)**3/2
Factor j + 1/2 + 1/2*j**2.
(j + 1)**2/2
Factor 4/9*a**4 - 4/9*a**2 + 0 + 0*a**3 - 2/9*a + 2/9*a**5.
2*a*(a - 1)*(a + 1)**3/9
Let z(i) be the third derivative of 0*i**3 - 13/160*i**6 - 1/56*i**7 - 1/20*i**5 + 1/8*i**4 - 8*i**2 + 0*i + 0. Let z(t) = 0. What is t?
-2, -1, 0, 2/5
Let s(j) be the first derivative of -j**4/8 + j**3/3 - j**2/4 + 8. Factor s(n).
-n*(n - 1)**2/2
Let o(v) = 5*v - 20. Let n be o(4). Factor 2/3*c**3 + 0*c + n + 2/3*c**4 - 2/3*c**5 - 2/3*c**2.
-2*c**2*(c - 1)**2*(c + 1)/3
Let m(h) = -h**3 - 4*h**2 + 4*h - 3. Let c be m(-5). Find y, given that c*y - 4*y**3 + 2*y**3 + 2*y**2 + 2*y**2 - 5 + 1 = 0.
-1, 1, 2
Let o = -16724/17255 - -13/493. Let v = o - -8/7. What is u in 9/5*u**5 + 46/5*u**3 + 9/5*u + 6*u**2 + 33/5*u**4 + v = 0?
-1, -1/3
Let m(p) = 1 + p**4 - 3*p**2 + 0*p**2 + p**3 + p - 3. Let t(n) = -3*n**3 + 4*n**2 - n - n**4 + n**3 + 1 + 2. Let z(w) = -3*m(w) - 2*t(w). Factor z(h).
-h*(h - 1)**2*(h + 1)
Let x(y) be the third derivative of -1/105*y**5 - 1/42*y**4 + 7*y**2 + 0 + 0*y + 4/21*y**3. Find d such that x(d) = 0.
-2, 1
Let c(j) = -j**2 - 7*j - 4. Let p be c(-5). Let a = 10 - p. Factor k**5 + k**3 - k**4 + k**2 + 0*k**a - 2*k**5.
-k**2*(k - 1)*(k + 1)**2
Let s(x) be the second derivative of -15*x**7/14 + 10*x**6/3 - 13*x**5/4 + 5*x**4/6 - 3*x. Factor s(f).
-5*f**2*(f - 1)**2*(9*f - 2)
Let f(n) be the second derivative of n**7/147 + 2*n**6/35 + 9*n**5/70 - 2*n - 4. Factor f(t).
2*t**3*(t + 3)**2/7
Let t(w) = w**2 - 1. Let f(l) = 8*l**2 + 4*l - 7. Let m(z) = -3*f(z) + 21*t(z). Factor m(b).
-3*b*(b + 4)
Let v = 360/2171 + -2/167. Find a, given that -16/13*a**2 - 12/13*a**3 - v + 18/13*a**4 + 12/13*a = 0.
-1, 1/3, 1
Let c(r) be the first derivative of -20*r**3/3 + 16*r**2 + 16*r + 9. Suppose c(u) = 0. What is u?
-2/5, 2
Let y(h) be the second derivative of h**5/5 - 2*h**3 - 4*h**2 - 38*h. Solve y(g) = 0 for g.
-1, 2
Let w(o) be the first derivative of -o**3/12 + 8. Factor w(y).
-y**2/4
Let p(a) = -3*a**4 + 102*a**3 - 183*a**2 + 192*a - 60. Let j(m) = -m**4 + 41*m**3 - 73*m**2 + 77*m - 24. Let b(d) = -12*j(d) + 5*p(d). Factor b(z).
-3*(z - 2)**2*(z - 1)**2
Let d(o) be the third derivative of o**6/1020 + 3*o**5/170 + 9*o**4/68 + 9*o**3/17 + o**2. Factor d(i).
2*(i + 3)**3/17
Let g(m) = m**3 + 15*m**2 + 14*m. Let n(t) = -t**3 + t. Let k(r) = g(r) - 4*n(r). Factor k(j).
5*j*(j + 1)*(j + 2)
Let j(w) be the second derivative of -w**7/294 - w**6/210 + w**5/70 + w**4/42 - w**3/42 - w**2/14 + 9*w. Solve j(a) = 0 for a.
-1, 1
Find s, given that 0 - 1/8*s**4 + 1/8*s**5 - 1/4*s - 3/8*s**3 + 5/8*s**2 = 0.
-2, 0, 1
Let t(d) be the first derivative of 1/3*d**2 - 1/6*d**4 + 1/9*d**3 - 1/15*d**5 + 0*d + 4. Solve t(n) = 0.
-2, -1, 0, 1
Suppose 29*q = 7*q. Factor q*f**4 + 0*f + 1/5*f**3 + 0 - 1/5*f**5 + 0*f**2.
-f**3*(f - 1)*(f + 1)/5
Let v = 11 + -11. Let p(i) be the third derivative of 1/300*i**6 + 1/60*i**4 + i**2 + 0*i + v + 0*i**3 + 1/75*i**5. What is k in p(k) = 0?
-1, 0
Let d = -133 + 139. Let k(l) be the second derivative of 0*l**3 + 0*l**2 - 1/36*l**4 + 0 + 0*l**5 + 1/90*l**d - l. Factor k(s).
s**2*(s - 1)*(s + 1)/3
Let x(i) be the third derivative of -i**6/30 + i**5/10 + i**4/6 + 27*i**2. Determine o, given that x(o) = 0.
-1/2, 0, 2
Factor 6*o**2 + 3 - 7*o**2 - 2*o**2.
-3*(o - 1)*(o + 1)
Let c(r) = -r - 8. Let f be c(-13). Factor 12/7*g**3 + 8/7*g**2 + 0 + 2/7*g**f + 2/7*g + 8/7*g**4.
2*g*(g + 1)**4/7
Let 1/10*f**2 + 3/5*f - 7/10 = 0. Calculate f.
-7, 1
Suppose 4*m + 2 = -2*j, -j + 2 - 5 = m. Let t = m + 0. Solve -3*g**3 - t*g**4 - 5 + g**3 + 5 = 0 for g.
-1, 0
Let s(w) = -6*w**3 - 12*w**2 - 6*w - 10. Let r(q) = 7*q**3 + 12*q**2 + 7*q + 10. Let o(v) = 5*r(v) + 6*s(v). Let t be o(-12). Factor -4/3 - 2/3*a**2 + t*a.
-2*(a - 2)*(a - 1)/3
Suppose 0 = 2*h - 5*z + 14 - 2, -5*h + 3*z = -8. Suppose -h*m = -m. Factor 1/5*f**3 + m*f**2 + 0*f + 1/5*f**4 + 0.
f**3*(f + 1)/5
Let f(b) = -4*b + 5. Let y(c) = -7*c + 10. Let a(v) = 5*f(v) - 3*y(v). Let q be a(8). Suppose -3*u**3 + 3*u - q + 3 = 0. Calculate u.
-1, 0, 1
Factor -27/2 - 35/2*o**3 + 2*o**4 - 81/2*o + 99/2*o**2.
(o - 3)**3*(4*o + 1)/2
Let l = -1 + -5. Let x be (14/l)/((-2)/6). Find m, given that 0*m**3 + x*m**3 + 3*m**4 - 3*m**2 - 6*m**4 - m**3 = 0.
0, 1
Let z(v) be the first derivative of -v**5/3 - 5*v**4/6 + 5*v**3/9 + 5*v**2/3 - 20. Factor z(h).
-5*h*(h - 1)*(h + 1)*(h + 2)/3
Let v(h) be the third derivative of 0*h**3 + 4*h**2 + 0*h + 1/8*h**4 + 1/20*h**5 + 0. Factor v(q).
3*q*(q + 1)
Suppose -5*o + 3*o = -4. Solve 7*q**o + 3*q**2 + q**4 - 11*q**2 = 0.
-1, 0, 1
Let r(b) = -b**3 + 3*b + 3. Let x be r(3). Let c(k) = k + 18. Let o be c(x). Factor 1/2*g - 1/2 + g**2 - 1/2*g**4 + 1/2*g**5 - g**o.
(g - 1)**3*(g + 1)**2/2
Let m be (-62)/(-70) + 108/(-378). Solve m*f**3 - 9/5*f + 0*f**2 - 6/5 = 0.
-1, 2
Suppose -5*w + 3 + 7 = 0. Factor 0*z**w - z**2 + 5*z**3 - 4*z**3.
z**2*(z - 1)
Suppose 75 + 155*t - 77*t**3 + 82*t**3 - 3*t**2 + 88*t**2 = 0. Calculate t.
-15, -1
Let q(s) be the first derivative of -5*s**4/4 + 10*s**3/3 + 6. Let q(v) = 0. Calculate v.
0, 2
Suppose 0 = j - 6*j + 15. Let a = -13 + 13. Suppose a - 1/3*y**j + 0*y + 0*y**2 + 1/3*y**4 = 0. Calculate y.
0, 1
Let y(d) be the second derivative of d**8/3360 + d**7/1680 + d**3/2 + 2*d. Let j(t) be the second derivative of y(t). Factor j(i).
i**3*(i + 1)/2
Let k = -82 - -271. Let c be 2/(-6) + 117/k. Factor 2/7*d - 2/7*d**2 + c - 2/7*d**3.
-2*(d - 1)*(d + 1)**2/7
Let -4/3*r + 4/3*r**3 + 2/9*r**4 - 2 + 16/9*r**2 = 0. Calculate r.
-3, -1, 1
Let -6*n**2 + n**3 + 32*n**4 - 15*n**5 + 3*n**3 - 7*n**3 - 8*n**4 = 0. What is n?
-2/5, 0, 1
Let o(d) be the first derivative of -3 - 3/16*d**4 - 1/8*d**2 - 1/4*d**3 + 0*d - 1/20*d**5. Suppose o(s) = 0. What is s?
-1, 0
Suppose 45 = -p + 4*p. Suppose 4*y + 2*c = -10, -3*c - p = y - 5*y. Factor -1/5*s**2 + 0*s + y.
-s**2/5
Find l, given that 49*l**2 + 63*l**2 + 4*l**5 + 92*l**3 + 32*l**4 - 110*l + 158*l = 0.
-3, -2, -1, 0
Let g(w) be the second derivative of w**6/720 - w**5/120 + w**3/9 + 3*w**2/2 - 2*w. Let v(x) be the first derivative of g(x). Suppose v(t) = 0. What is t?
-1, 2
Suppose 10*u - 6*u - 8 = 0. Suppose -1/3*j**3 + 1/3*j**4 + 0*j**u + 0*j + 0 = 0. Calculate j.
0, 1
Let r(y) be the first derivative of 2*y**5/15 + y**4/6 - 2*y**3/3 - y**2/3 + 4*y/3 + 16. Factor r(o).
2*(o - 1)**2*(o + 1)*(o + 2)/3
Let g(r) be the first derivative of r**5/10 - 2*r**4/3 + 4*r**3/3 + r + 7. Let t(b) be the first derivative of g(b). Find o, given that t(o) = 0.
0, 2
Let f(a) be the first derivative of a**3 - 18*a**2 + 33*a - 64. Factor f(q).
3*(q - 11)*(q - 1)
Let l = -4095/4 + 1024. Factor -3/4*y**3 + 1/4*y**5 - 1/4*y**2 + l*y**4 + 1/2*y + 0.
y*(y - 1)**2*(y + 1)*(y + 2)/4
Suppose -4*b + 104 = 3*j, -5*b + j = -2*b - 78. Let f = -51/2 + b. Factor 1/2*y**3 + 0 - f*y + 0*y**2.
y*(y - 1)*(y + 1)/2
Suppose 0 = -v + 3*v - 8. Let w be 2 - (3 - (-8)/(-2)). Factor -2*s**3 - w*s + v*s**3 + s.
2*s*(s - 1)*(s + 1)
Solve 0 + 0*j**2 + 5/2*j**4 + 0*j + 15/2*j**3 = 0 for j.
-3, 0
Suppose -n - 9*n = -4*n. Factor -1/2*l**4 + 0*l**3 + l**2 + n*l - 1/2.
-(l - 1)**2*(l + 1)**2/2
Let w(x) be the third derivative of -x**5/90 - x**4/6 - 5*x**3/9 + 7*x**2. Solve w(p) = 0.
-5, -1
Let u(f) be the second derivative of -f**5/70 - f**4/21 - f**3/21 + 6*f. Factor u(l).
-2*l*(l + 1)**2/7
Let h(t) be the first derivative of t**3/21 - t/7 + 17. Find m such that h(m) = 0.
-1, 1
Solve l**3 - 4*l**4 + 0 - 14*l + 0*l**4 + l**3 + 12*l**2 + 4 = 0.
-2, 1/2, 1
Let i(n) = 3*n**3 + 7*n**2 - 23*n + 27. Let k(m) = -m**3 - 4*m**2 + 11*m - 14. Let l(c) = -4*i(c) - 7*k(c). Factor l(q).
-5*(q - 1)**2*(q + 2)
Let u(m) be the third derivative of 0 + 1/30*m**5 - 1/105*m**7 + 4/3*m**3 - 3*m**2 - 1/12*m**6 + 0*m + 2/3*m**4 + 1/168*m