j + 6, 0*a + 3*j - 6 = a. Suppose 0 = -4*x - 0*x + 3*t + 2, -5*t = -4*x - 2. What is r in 4/3*r**x + 2/3*r**3 + a + 0*r = 0?
-2, 0
Let k(s) be the second derivative of -1/15*s**6 - 1/4*s**2 + 3/40*s**5 - 1/4*s**3 + 0 + 5/24*s**4 + 4*s. Let k(p) = 0. Calculate p.
-1, -1/4, 1
Let a(o) = -3*o**2 + 14*o. Let p(t) = -t**2 + 5*t. Let y be 2/((-2)/(-17))*1. Let s(l) = y*p(l) - 6*a(l). Let s(v) = 0. Calculate v.
-1, 0
Let l(f) be the third derivative of 0*f**4 + 0*f**6 + 0*f**3 + 0*f - f**2 - 1/150*f**5 + 1/525*f**7 + 0. Solve l(a) = 0.
-1, 0, 1
Let v = 16 + -11. Suppose -3*k + o = -15, k - 4*o - v = 11. Find j, given that 2*j**k + 0*j - 4*j**5 + 0 + 1/4*j**2 + 7/4*j**3 = 0.
-1/4, 0, 1
Let j(h) = 2*h**2 + 6*h - 5. Let m(u) = -5*u**2 + 12*u + 5*u**2 + 3*u**2 - 9 - u. Let k(r) = -5*j(r) + 3*m(r). Suppose k(v) = 0. What is v?
1, 2
Let w(y) be the third derivative of -1/300*y**6 + 0*y**3 + 2/525*y**7 + 0 + 0*y - y**2 + 0*y**5 - 1/840*y**8 + 0*y**4. Factor w(g).
-2*g**3*(g - 1)**2/5
Let d = 24 + -48. Let z be d/180*(-10)/3. Factor -z + 2/9*w**4 - 2/3*w**2 + 10/9*w - 2/9*w**3.
2*(w - 1)**3*(w + 2)/9
Let r(t) be the third derivative of -t**5/20 - t**4/4 - t**3/2 + 3*t**2. Factor r(l).
-3*(l + 1)**2
Let r(n) be the first derivative of -3*n**5/20 - n**4/4 + n**3 + 5*n - 4. Let z(s) be the first derivative of r(s). Find i, given that z(i) = 0.
-2, 0, 1
Let c = -5 - -8. Factor 2*h**3 - 7*h**3 - c*h**2 + 2*h**3.
-3*h**2*(h + 1)
Let c(o) be the second derivative of -3*o**7/1400 - o**6/200 - o**5/300 + 2*o**3/3 + 7*o. Let g(b) be the second derivative of c(b). Let g(j) = 0. What is j?
-2/3, -1/3, 0
Suppose 2*j = -5*k - 22, -k - 2 = -2*j - 0. Let n be (-10)/(-6*j/(-2)). Let 4/3 + n*o**2 + 14/3*o = 0. What is o?
-1, -2/5
Let o(k) be the first derivative of -k**3/18 - k**2/2 - 3*k/2 + 62. Solve o(y) = 0 for y.
-3
Let p be ((-22)/(-8) - 3)*4. Let a = p - -1. Find u such that a + u**2 + 1/2*u**3 + 1/2*u = 0.
-1, 0
Let z be (2/(-30))/(-8 + (-1859)/(-234)). Let -9/5*v + 3/5*v**2 + z = 0. What is v?
1, 2
Let i(z) be the third derivative of z**8/336 - z**7/105 - z**6/120 + z**5/30 - 13*z**2. Find a, given that i(a) = 0.
-1, 0, 1, 2
Suppose 0 = -m - m. Suppose m = 7*f - 9 - 5. Let -3/4*x**f + 1 + x**3 - x - 1/4*x**4 = 0. What is x?
-1, 1, 2
Factor -169 + 185 + 84*p**2 - 8*p + 23*p + 49*p + 36*p**3.
4*(p + 1)*(3*p + 2)**2
Let z(h) = h**3 - 13*h**2 + 13*h - 12. Let u be z(12). Suppose -7/3*j**4 - 4/3*j**2 + u - 16/3*j**3 + 0*j = 0. Calculate j.
-2, -2/7, 0
Determine v, given that -12*v + 8/7*v**4 + 18/7 - 8*v**3 + 122/7*v**2 = 0.
1/2, 3
Let h(y) be the second derivative of -77*y**4/6 - 8*y**3/3 + 4*y**2 - 9*y. Factor h(g).
-2*(7*g + 2)*(11*g - 2)
Let v(y) = -y**3 - 9*y**2 + 2. Let f be v(0). Factor -3/2*r**f - 1/2*r + 1/3 + 1/2*r**4 - 1/6*r**3.
(r - 2)*(r + 1)**2*(3*r - 1)/6
Let u(o) = -6*o**2 - 6*o - 30. Let g(h) = h**2 + h + 6. Let z = 21 + -42. Let b(s) = z*g(s) - 4*u(s). Let b(j) = 0. What is j?
-2, 1
Let c = 5 + -9. Let p = -4 - c. Solve 0*a + 0 + 4/5*a**3 + p*a**2 - 2/5*a**4 = 0 for a.
0, 2
Let v(m) be the first derivative of -2*m**3/27 + 7*m**2/9 + 16*m/9 - 43. Factor v(d).
-2*(d - 8)*(d + 1)/9
Let n(d) be the second derivative of d**8/20160 - d**7/3780 + d**6/2160 + d**4/6 - 3*d. Let k(a) be the third derivative of n(a). Factor k(x).
x*(x - 1)**2/3
Let c(k) be the third derivative of 0*k - 1/112*k**8 - 1/210*k**7 + 2*k**2 + 0*k**3 + 1/60*k**6 + 0*k**5 + 0*k**4 + 0. Solve c(o) = 0 for o.
-1, 0, 2/3
Factor 2/3*q**2 + 0 + 2/3*q**3 + 0*q.
2*q**2*(q + 1)/3
Let c(b) be the second derivative of 13*b**5/150 - b**4/3 + 7*b**3/15 - 4*b**2/15 + 2*b + 8. Solve c(o) = 0 for o.
4/13, 1
Let i(z) = z**5 + z**4 - z**3 - z**2 + 1. Let c(n) = -7*n**5 - 5*n**4 + 8*n**3 + 4*n**2 - n - 5. Let k(g) = -5*c(g) - 30*i(g). Factor k(j).
5*(j - 1)**3*(j + 1)**2
Let z = 1761 - 123267/70. Let n(r) be the second derivative of -z*r**5 - 2*r - 1/7*r**2 + 0 + 1/42*r**4 + 1/7*r**3. Factor n(c).
-2*(c - 1)*(c + 1)*(3*c - 1)/7
Let u(y) be the second derivative of -1/2*y**2 + 1/24*y**4 - 1/120*y**6 + 0 - 1/6*y**3 + 2*y + 1/60*y**5. Let q(p) be the first derivative of u(p). Factor q(i).
-(i - 1)**2*(i + 1)
Let d(k) be the second derivative of -k**5/110 + 5*k**4/66 - k**3/11 - 9*k**2/11 + 10*k. Suppose d(v) = 0. Calculate v.
-1, 3
Suppose -2*f + 3*f + 3*d = -10, 4*d = -20. Determine j, given that -3*j**5 + 2*j**5 - 9*j**3 + 11 - 2*j + f*j**4 + 7*j**2 - 11 = 0.
0, 1, 2
Let l(q) be the third derivative of 0*q**4 + 0 + 1/180*q**6 + 0*q**5 - 5*q**2 + 0*q + 0*q**3. Factor l(m).
2*m**3/3
Let u = 13 + 8. Let v be ((-5)/(-10))/(u/12). Factor -2/7*m**4 + 0*m + 0 + 2/7*m**5 - 2/7*m**3 + v*m**2.
2*m**2*(m - 1)**2*(m + 1)/7
Let p be (-39)/15 + 5 + -2. Solve 0 + 4/5*t - 2/5*t**3 - p*t**2 = 0.
-2, 0, 1
Let r = -1 - 0. Let s(k) = 9*k**2. Let y be s(r). Let y*z**5 + 3*z**3 - z**3 + 15*z**2 - 7*z**3 - 15*z**4 - 4 = 0. What is z?
-2/3, 1
Let z be (2 + 32/(-10))/(252/(-240)). Suppose -z - 50/7*k**2 + 40/7*k = 0. What is k?
2/5
Let a(o) be the second derivative of -2*o**7/21 - 2*o**6/5 - o**5/5 + o**4 + 4*o**3/3 + 5*o. Suppose a(z) = 0. What is z?
-2, -1, 0, 1
Suppose 3*f - 5 = -6*v + 5*v, -2*f + 9 = -5*v. Factor -2/3*m**4 + 2/3*m + 0 - 2*m**f + 2*m**3.
-2*m*(m - 1)**3/3
Let l = -1 - -4. Factor -48*w**2 - 42*w**l - 27*w + 0*w**5 - 131 + 125 - 18*w**4 - 3*w**5.
-3*(w + 1)**4*(w + 2)
Suppose n + 38 = -5*g, 0 = 3*g - 2*n + 48 - 20. Let b(m) = m**2 + 9*m + 10. Let r be b(g). Factor 0*s + 4*s - s**r - s**2.
-2*s*(s - 2)
Let r be 294/(-15) - (-4)/(-10). Let f = -17 - r. Find z, given that 1/4*z**2 - 1/4*z**4 + 0 - 1/4*z**f + 1/4*z = 0.
-1, 0, 1
Let h(g) = g**4 - g**3 + 1. Let x(d) = -d**5 + 19*d**4 - 23*d**3 - 2*d**2 + 13*d + 5. Let c(a) = 44*h(a) - 4*x(a). Suppose c(k) = 0. What is k?
-1, 1, 6
Factor -1/11*d**3 + 1/11*d**4 - 5/11*d**2 - 3/11*d + 0.
d*(d - 3)*(d + 1)**2/11
Suppose 3*k - 4*k = 0. Suppose -2*a - 14 = -2*s, k*a + 2*a = 5*s - 44. Factor 24*r**4 + 0*r**2 - 11*r**3 - 7*r**3 + 0*r**2 + 4*r**2 - s*r**5.
-2*r**2*(r - 1)**2*(5*r - 2)
Let u be -3 + 3/(-1) + 11. Determine q so that u*q**5 - 6*q + 2*q - 2*q**5 - 6*q**3 + 7*q = 0.
-1, 0, 1
Let k(y) = y**2 - 7*y - 1 + 3 + 7 - 4. Let c be k(7). Factor 4*o**2 - 3*o**2 - 2*o**2 - o**3 + o**4 + o**c.
o**2*(o - 1)*(o + 1)**2
Suppose 0 = 2*q + 6 - 0, 0 = 3*m + 2*q. Let u(w) be the first derivative of 0*w**m + 1 + 1/15*w**5 + 0*w**4 - 1/9*w**3 + 0*w. Factor u(h).
h**2*(h - 1)*(h + 1)/3
Let 15/7*g - 9/7 - 3/7*g**3 - 3/7*g**2 = 0. Calculate g.
-3, 1
Let p be 1/(-4) - 26/(-8). Suppose -10 = -5*v + p*s, -v - 2*v + 4*s = 5. Solve -2/7*r**2 + 0*r + 2/7*r**4 - 2/7*r**3 + 0 + 2/7*r**v = 0.
-1, 0, 1
Let r(d) be the first derivative of 2*d**3/3 - d**2 + 6. Suppose r(i) = 0. Calculate i.
0, 1
Let x(a) be the second derivative of -a**4/30 + a**3/5 - 2*a**2/5 + 14*a. Solve x(h) = 0.
1, 2
Let q(z) = z**3 + 5*z**2 + 5*z + 6. Suppose -2*k - 3 = 5. Let j be q(k). Find f such that 4*f**j - 3*f**4 - 2*f**2 + f**4 = 0.
-1, 0, 1
Let o(h) be the first derivative of 3*h**5/25 + 3*h**4/20 - 7*h**3/5 - 39*h**2/10 - 18*h/5 - 18. Solve o(g) = 0 for g.
-2, -1, 3
Let d be (8/(-10) - -1) + 144/30. Factor 0 - 3/2*x**4 - 3/4*x + 3/2*x**2 + 0*x**3 + 3/4*x**d.
3*x*(x - 1)**3*(x + 1)/4
Let z(m) be the second derivative of m**7/147 - 3*m**5/70 - m**4/21 + 12*m. Solve z(s) = 0.
-1, 0, 2
Let j = -635/7 - -91. Factor 2/7*b - 2/7*b**3 + 2/7*b**2 - j*b**4 + 0.
-2*b*(b - 1)*(b + 1)**2/7
Let u(b) be the second derivative of b**6/20 - 9*b**5/40 + 3*b**4/8 - b**3/4 - 2*b. Let u(h) = 0. What is h?
0, 1
Let v(w) be the first derivative of -w**6/21 - 6*w**5/35 - 3*w**4/14 - 2*w**3/21 - 3. Factor v(j).
-2*j**2*(j + 1)**3/7
Let p(r) be the second derivative of -r**7/1680 - r**6/360 + r**3/2 + r. Let b(g) be the second derivative of p(g). Determine f so that b(f) = 0.
-2, 0
Let y(q) be the second derivative of 3*q**5/100 - q**4/10 - q**3/10 + 3*q**2/5 + 10*q. Factor y(h).
3*(h - 2)*(h - 1)*(h + 1)/5
Let m be (-14)/35 - 22/(-5). Suppose 5*k + 4 = -o, k - 1 - 2 = -m*o. Determine b, given that -o + 1/2*b**2 - 1/2*b = 0.
-1, 2
Let r(o) be the third derivative of 2*o**7/105 - o**6/30 - o**5/3 - o**4/2 - 19*o**2. Find k such that r(k) = 0.
-1, 0, 3
Let v(d) = 4*d - 132. Let w be v(33). Find q, given that 0*q**3 + w*q + 2/7*q**4 + 2/7 - 4/7*