-12) + (-7)/(-4). Let g be ((-18)/4)/((-3)/4). Find j, given that 6*j**r - 8*j**3 + 10*j**3 + g*j - 1 + 3 = 0.
-1
Let t(q) be the first derivative of -q**4/18 + q**2/9 - 6. Suppose t(h) = 0. Calculate h.
-1, 0, 1
Let c = 1293/154 + -90/11. Let j = c - 1/70. Factor -1/5 + j*m**3 + 1/5*m**2 - 1/5*m.
(m - 1)*(m + 1)**2/5
Let d = 79456 - 15493799/195. Let l = 3/65 + d. Find p, given that l*p**3 + 5/3*p**4 - 5/3*p**2 + 0 - 2/3*p = 0.
-1, -2/5, 0, 1
Let g(t) be the second derivative of t**4/3 - 20*t**3/3 + 50*t**2 + 12*t. Factor g(h).
4*(h - 5)**2
Suppose z - z - 3*z**2 + 0*z = 0. What is z?
0
Let s(o) be the third derivative of -o**6/210 + o**5/7 + 25*o**2. Factor s(r).
-4*r**2*(r - 15)/7
Suppose 0*d**3 + 0 - 4/3*d**2 + 0*d + 1/3*d**4 = 0. What is d?
-2, 0, 2
Let m(j) be the first derivative of -1/5*j - 3 + 1/5*j**2 - 1/15*j**3. Factor m(t).
-(t - 1)**2/5
Let -4*h**2 + h - 7*h**3 + 2*h**5 - 6*h**5 + 7*h**5 + 3*h + 4*h**4 = 0. What is h?
-2, -1, 0, 2/3, 1
Let f(z) be the third derivative of z**7/3780 + z**6/540 + z**5/180 - z**4/6 - 5*z**2. Let a(l) be the second derivative of f(l). Factor a(m).
2*(m + 1)**2/3
Let u = 1342 + -20128/15. Solve 8/15*n - 8/15 - u*n**2 = 0.
2
Let v = -9 + 5. Let u = 7 + v. Factor 4*g**u - 4*g**2 + 2*g - 6*g**3 - 4*g**3.
-2*g*(g + 1)*(3*g - 1)
Let j(s) be the third derivative of s**7/420 - s**5/60 + s**3/12 - 7*s**2. Solve j(p) = 0 for p.
-1, 1
Let t(i) = -11*i**2 + 23*i - 17. Let g = -17 - -22. Let a(s) = -6*s**2 + 12*s - 9. Let k(d) = g*a(d) - 3*t(d). Factor k(c).
3*(c - 2)*(c - 1)
Let c = 961/126 - 68/9. Let w(x) be the second derivative of 0*x**6 - x + 3/10*x**5 + 0 + 0*x**4 - 1/2*x**3 + 0*x**2 - c*x**7. Determine a so that w(a) = 0.
-1, 0, 1
Let h(u) = u - 4. Let g be h(6). Suppose 6*i - i = g*s + 5, -4*i - s = -17. Factor 0 - i - 2*j + 4 - j**2 - 2.
-(j + 1)**2
Suppose 2*b - 3*b = x - 1, 0 = -b - 1. Find g, given that g**3 - 1/3*g**4 + 1/3*g + 0 - g**x = 0.
0, 1
Let u(b) be the third derivative of -b**7/1260 - b**6/240 - b**5/360 + b**4/48 + b**3/18 + 24*b**2. Let u(r) = 0. What is r?
-2, -1, 1
Suppose -4*n - 2*h - h = -6, -2*n + h - 2 = 0. Let q(w) be the third derivative of -1/108*w**4 + n + 1/270*w**5 - w**2 + 0*w**3 + 0*w. Factor q(l).
2*l*(l - 1)/9
Suppose -4*v = -q - 4*q + 13, -3*q = -15. Let x(a) = -a**2 + 5*a - 2. Let g be x(v). Let -b**2 + b**g + b**5 + 0*b - b**3 + 2*b - 2*b = 0. Calculate b.
-1, 0, 1
Suppose -j + 10*a + 4 = 5*a, j + 5*a = 4. Let f be 1/(j/(-40)*-4). Factor -5/2*s**3 + s**2 - 1 + f*s.
-(s - 1)*(s + 1)*(5*s - 2)/2
Suppose 3*y + 7*r = 10*r + 18, 4*y + 5*r + 12 = 0. Factor 0 - 3/2*m**y + 3*m.
-3*m*(m - 2)/2
Let x(t) be the first derivative of 4*t**5/25 - 8*t**3/15 + 4*t/5 - 9. Solve x(o) = 0.
-1, 1
Factor 0*w + 0*w**3 - 3/4*w**2 + 0 + 3/4*w**4.
3*w**2*(w - 1)*(w + 1)/4
Let i(c) be the third derivative of -c**8/112 + 19*c**7/315 - 53*c**6/360 + 7*c**5/45 - c**4/18 - 4*c**2. Suppose i(x) = 0. What is x?
0, 2/9, 1, 2
Let v(u) = 3*u**4 - 6*u**2 + 12. Let j(b) be the third derivative of b**3/6 - 2*b**2. Let n(d) = -9*j(d) + v(d). Let n(g) = 0. Calculate g.
-1, 1
Suppose 0 = -2*c + k + 3, 4*c = -k + 21 - 6. Determine r, given that -2/5*r**c + 0*r**2 + 0*r + 4/5*r**4 - 2/5*r**5 + 0 = 0.
0, 1
Let x be 25 + -18 - (-85)/(-13). Factor -x*f**2 + 2/13 - 4/13*f.
-2*(f + 1)*(3*f - 1)/13
Let l(x) = x**2 + 0*x + x - 2*x**2. Let z(n) = -n**3 - 6*n**2 + 9*n - 2. Let q = 1 - 7. Let v(w) = q*l(w) + z(w). Factor v(h).
-(h - 1)**2*(h + 2)
Suppose 8 = 5*p - 2. Solve 2*s**5 - 8*s**4 + 3*s**2 - 2*s**p - 8*s + 6*s**3 + 7*s**2 = 0 for s.
-1, 0, 1, 2
Let p = -9 + 13. Suppose -3*d**3 + 46*d**p + 3*d**3 - 43*d**4 = 0. What is d?
0
Suppose k**2 + 2*k**2 - k + 22 - 13 - 11*k = 0. What is k?
1, 3
Let r(m) = -m - 9. Let p be r(-11). Factor 2 + 0*o**2 + 2*o - 2*o**3 - 2*o**2 + 2*o**2 - p*o**2.
-2*(o - 1)*(o + 1)**2
Let y(u) be the second derivative of 0 + 1/10*u**5 - u**2 + 1/6*u**4 - 1/3*u**3 + 3*u. Determine f, given that y(f) = 0.
-1, 1
Let h = 41/3 + -7. Let f be (0 - ((-15)/9 - -1))*1. Find d, given that f + 5*d + h*d**3 + 11*d**2 = 0.
-1, -2/5, -1/4
Let 0 + 1/5*y**2 - 1/5*y**4 + 0*y**3 + 0*y = 0. What is y?
-1, 0, 1
Let z be 6/4*4/3. Factor 2*h**2 + 2*h**2 + 4*h**4 - 6*h**z - 2*h**4.
2*h**2*(h - 1)*(h + 1)
Factor 2/7*b - 2/7 - 2/7*b**3 + 2/7*b**2.
-2*(b - 1)**2*(b + 1)/7
Let o be (4/3)/(4/6). Let n(b) = -b**2 + 9. Let z be n(3). What is c in -c + 0*c**2 - c - c**2 + z*c**o = 0?
-2, 0
Let y(d) be the first derivative of -d**5/150 - d**4/30 - d**3/15 - d**2 - 2. Let u(b) be the second derivative of y(b). Let u(c) = 0. Calculate c.
-1
Suppose -4*r = -6*r - 18. Let p be 46/14 + r/3. Factor -2/7 + 2/7*x + 2/7*x**2 - p*x**3.
-2*(x - 1)**2*(x + 1)/7
Let v(m) = -m**3 - 6*m**2 + 4*m - 8. Let z be v(-7). Let w = z + -8. Factor -3*b + 2*b**3 + 2*b**3 + b - 2*b**w.
-2*b*(b - 1)**2*(b + 1)**2
Let o(n) be the second derivative of n**7/231 + 2*n**6/165 + n**5/110 - 20*n. Factor o(h).
2*h**3*(h + 1)**2/11
Suppose -6*q + 15 + 9 = 0. Suppose q*b = i + 4, 0*i = -b - 2*i + 10. Find w, given that 0*w + 1/5*w**b - 1/5 = 0.
-1, 1
Let o(b) be the first derivative of 5*b**3/3 + 15*b**2/2 + 4. Suppose o(i) = 0. Calculate i.
-3, 0
Factor -60/7*x + 450/7 + 2/7*x**2.
2*(x - 15)**2/7
Let r(l) be the first derivative of -2*l**6/3 + 4*l**5/5 + l**4 - 4*l**3/3 - 3. Factor r(i).
-4*i**2*(i - 1)**2*(i + 1)
Let x = -3 - -9. Let w be 2/(-3)*(-3)/x. Let w*n**2 + 0 + 1/3*n = 0. Calculate n.
-1, 0
Suppose 15 = 3*y - 6*y. Let g = -2 - y. Factor 8/5*o**g - 2*o**2 - 2/5*o**4 + 4/5*o + 0.
-2*o*(o - 2)*(o - 1)**2/5
Find b such that -b**2 - 12 - 16*b - 2*b**2 - 4*b = 0.
-6, -2/3
Find r, given that -2*r**2 - 8*r**2 + 7*r**2 - 12 + 12*r = 0.
2
Let t(k) be the first derivative of 1/30*k**4 - 5 + 2/15*k**3 + 1/5*k**2 - 5*k. Let o(p) be the first derivative of t(p). Factor o(c).
2*(c + 1)**2/5
Let q = 30 - 26. Factor -4/3*c + 0 + 0*c**2 + c**3 - 1/3*c**q.
-c*(c - 2)**2*(c + 1)/3
Let g(l) be the third derivative of -1/336*l**8 + 0*l**4 + 0*l - 3*l**2 + 1/120*l**6 + 0 + 1/210*l**7 + 0*l**3 - 1/60*l**5. Let g(s) = 0. What is s?
-1, 0, 1
Factor -5*j**2 + 24 + 4*j**2 - 24 - 2*j.
-j*(j + 2)
Let m(d) = d**3 - 2*d**2 + d. Let q(b) = b. Let a(j) = -4*m(j) + 4*q(j). Suppose a(c) = 0. What is c?
0, 2
Let i(q) be the third derivative of q**9/20160 - q**8/8960 - q**7/3360 + q**6/960 - q**4/3 + 4*q**2. Let t(b) be the second derivative of i(b). Factor t(l).
3*l*(l - 1)**2*(l + 1)/4
Let a(p) be the third derivative of p**5/150 + 2*p**4/15 + 16*p**3/15 - 4*p**2. Factor a(c).
2*(c + 4)**2/5
Let v(t) be the first derivative of t**6/2 - 3*t**5/5 - 3*t**4/4 + t**3 + 5. Factor v(d).
3*d**2*(d - 1)**2*(d + 1)
Factor 3/5*j**4 - 3/5*j**2 + 0 + 3/5*j - 3/5*j**3.
3*j*(j - 1)**2*(j + 1)/5
Let m(c) = -2*c**4 - 9*c**3 - 4*c**2 + 2. Suppose -3*n = -167 + 14. Let s(u) = -15*u**4 - 72*u**3 - 33*u**2 + 17. Let d(p) = n*m(p) - 6*s(p). Factor d(b).
-3*b**2*(b + 2)*(4*b + 1)
Let z(n) be the first derivative of n**9/224 + 3*n**8/160 + n**7/35 + n**6/60 + n**3/3 - 3. Let x(k) be the third derivative of z(k). Let x(g) = 0. Calculate g.
-1, -2/3, 0
Let p = 169028/1155 + -68/1155. Let d = p - 146. Factor -6/7*w - 6/7*w**2 - d*w**3 - 2/7.
-2*(w + 1)**3/7
Let n = -15 + 17. Let r(s) be the second derivative of 0*s**3 - 2*s + 1/6*s**4 + 0 + 0*s**n + 1/5*s**5 + 1/15*s**6. Find b, given that r(b) = 0.
-1, 0
Let i(x) be the third derivative of x**6/40 - x**5/30 + x**3/6 + 4*x**2. Let h be i(1). Determine y, given that 2*y - 1 - y**h + 0*y - 3*y + 3*y = 0.
1
Let p be (-1)/(-2) + 2/(-8). Let -1/4*h**4 + 1/4*h**2 - p*h + 0 + 1/4*h**3 = 0. What is h?
-1, 0, 1
Let g(u) = -7*u**3 + 3*u**2 - 2*u. Let o(r) = -8*r**3 + 2*r**2 - 3*r. Let k(i) = -3*g(i) + 2*o(i). Find m, given that k(m) = 0.
0, 1
Suppose 7 = -2*l + 3. Let v(a) = 3*a**2 + a + 2. Let i(u) = 30*u**2 + 9*u + 21. Let r(f) = l*i(f) + 21*v(f). Let r(o) = 0. Calculate o.
-1, 0
Let -8/7*g**4 - 48/7*g**2 + 26/7*g + 34/7*g**3 - 4/7 = 0. Calculate g.
1/4, 1, 2
Let v(t) = t**2 + 3*t + 5. Let o(m) = -1 + 2*m - 3 + 6 + 2. Let z(l) = 3*o(l) - 2*v(l). Find r such that z(r) = 0.
-1, 1
Let y be (-6)/(-6)*(2 + 1). Let i be (-245)/(-84) - 2/y. What is z in -1/2 - i*z**2 + 11/4*z = 0?
2/9, 1
Let z(b) be the third derivative of 0 + 1/60*b**7 + 0*b**3 + 4*b**2 + 0*b**4 - 1/48*b**6 