be the first derivative of q**6/63 + 4*q**5/105 - 4*q**3/63 - q**2/21 - 18. Determine j so that k(j) = 0.
-1, 0, 1
Let r = 66 + -66. Let m = 0 - 0. Factor 1/3*o**2 + 1/3*o**3 - 1/3*o**5 + m*o - 1/3*o**4 + r.
-o**2*(o - 1)*(o + 1)**2/3
Let f = 5 - 3. Suppose 2*x**3 + x**4 + f*x**4 - 4*x**4 - x**2 = 0. Calculate x.
0, 1
Solve -134*w**3 - 37*w**2 + 12*w - 111*w**4 - 3*w**2 - 28*w**5 - 3*w**2 + 4 = 0 for w.
-2, -1, -1/4, 2/7
Suppose -38 = -5*r - 8. Let u be 2/55*(r - 1). Factor u*c**2 + 0 + 0*c.
2*c**2/11
Let m(n) be the third derivative of n**8/672 + n**7/70 + n**6/20 + n**5/12 + n**4/16 + 4*n**2. Factor m(a).
a*(a + 1)**3*(a + 3)/2
Factor 26/9*y**3 + 8/9*y + 2/9*y**5 + 0 - 8/3*y**2 - 4/3*y**4.
2*y*(y - 2)**2*(y - 1)**2/9
Determine b so that 0*b**5 + 4*b**4 - 2*b + 22*b**4 - 30*b**3 - 7*b**5 - b**5 + 14*b**2 = 0.
0, 1/4, 1
Let o = -68 - -139/2. Let f(l) be the first derivative of -2*l - o*l**2 - 2 - 1/3*l**3. Solve f(k) = 0.
-2, -1
Let i be -2 - -2 - 30/(-1). Suppose p = -0*n - 2*n + 6, 2*p = 5*n + i. What is s in -14*s**5 + 5*s**3 + s - 5*s - p*s**4 + 10*s**2 + 16*s**3 - 3*s**3 = 0?
-1, 0, 2/7, 1
Let w(z) be the third derivative of 2*z**2 + 0 + 0*z**3 + 1/150*z**5 + 1/60*z**4 + 0*z. Determine f, given that w(f) = 0.
-1, 0
Let w(f) be the third derivative of -1/80*f**6 + 0 + 1/16*f**4 + f**2 + 0*f - 1/280*f**7 + 0*f**5 + 1/8*f**3. Factor w(c).
-3*(c - 1)*(c + 1)**3/4
Determine k so that -11*k**4 - 139*k**5 + 136*k**5 + 2*k**4 - 15*k**2 + 27*k**3 = 0.
-5, 0, 1
Factor 1/4*k**2 - 3/2*k + 5/4.
(k - 5)*(k - 1)/4
Let -3/8*v**2 + 3/8 + 3/4*v**3 - 3/4*v = 0. What is v?
-1, 1/2, 1
Let h(v) be the second derivative of -1/84*v**4 - 1/2*v**2 + 2*v + 0*v**3 - 1/70*v**5 + 0. Let l(u) be the first derivative of h(u). Factor l(c).
-2*c*(3*c + 1)/7
Let 3 - 696*d - d**2 + 697*d - 1 = 0. What is d?
-1, 2
Let h(u) = u**2 - 2*u. Let q be h(3). Factor 0*z - 8/3*z**4 + 1/3*z**q + 0*z**2 + 0 + 16/3*z**5.
z**3*(4*z - 1)**2/3
Suppose 4*d - 4 = -2*n - 6, -5*d - 4*n = 10. Factor 0 - 1/4*i**d + 1/4*i**4 + 1/4*i**3 - 1/4*i**5 + 0*i.
-i**2*(i - 1)**2*(i + 1)/4
Let l(z) be the first derivative of -z**4/28 + z**2/14 + 10. Let l(a) = 0. What is a?
-1, 0, 1
Let w be ((-1)/(-28))/(6/60). Let s(r) be the first derivative of 8/21*r**3 + 2 + 0*r - w*r**4 - 1/7*r**2 + 4/35*r**5. Find q, given that s(q) = 0.
0, 1/2, 1
Let h be 10 + 5 + 2 + -10. Let r(w) be the third derivative of w**2 - 2/735*w**h + 0*w**5 - 1/420*w**6 + 0*w**3 + 0 + 0*w**4 - 1/1176*w**8 + 0*w. Factor r(i).
-2*i**3*(i + 1)**2/7
Find q, given that 4/7*q**3 + 2/7*q**4 + 0*q**2 + 0 + 0*q = 0.
-2, 0
Let v(k) be the first derivative of 3*k**5/5 - 23. Determine h so that v(h) = 0.
0
Let n(c) be the second derivative of 0 + 3*c - 87/10*c**5 - 7/4*c**6 - 13/8*c**4 + 14*c**3 - 9*c**2. Suppose n(k) = 0. Calculate k.
-3, -1, 2/7, 2/5
Let f be (2 - 4) + 36/15. Let c = 2/321 + 1274/1605. Factor -f - 2/5*q + 4/5*q**3 - 2/5*q**5 - 2/5*q**4 + c*q**2.
-2*(q - 1)**2*(q + 1)**3/5
Let n = 5 - 3. Factor 2*h**n - 6*h**4 + 2*h**4 + 2*h**4.
-2*h**2*(h - 1)*(h + 1)
Let o be 1/3 - 30/9. Let s = 4 + o. Factor -p + 3/4*p**2 + p**3 - s + 1/4*p**4.
(p - 1)*(p + 1)*(p + 2)**2/4
Let b be (-27)/(-5) + (-8)/20. Suppose q + b = -4*a, -2*a - 2*q = 2 + 8. Factor 0 + 0*w + 2/5*w**3 + a*w**4 - 2/5*w**5 + 0*w**2.
-2*w**3*(w - 1)*(w + 1)/5
Solve 96/7*w**4 - 44/7*w**5 + 8/7*w**2 - 60/7*w**3 + 0 + 0*w = 0.
0, 2/11, 1
Let s(g) be the second derivative of -2*g**6/15 + 2*g**5/5 + g**4/3 - 4*g**3/3 + 11*g. Let s(x) = 0. Calculate x.
-1, 0, 1, 2
Let s(r) = -r**2 - 4. Let h(t) = 1. Let z(w) = -3. Let j(g) = 5*h(g) + 2*z(g). Let q(v) = 5*j(v) - s(v). Find o, given that q(o) = 0.
-1, 1
Let x(r) be the second derivative of -r**6/75 + r**5/50 + r**4/15 - 6*r. Let x(m) = 0. What is m?
-1, 0, 2
Let t(p) be the second derivative of p**4/4 + p**3 + 3*p**2/2 - p. Find v, given that t(v) = 0.
-1
Suppose 22 = t - 2*t - 5*g, 4*t - 22 = 2*g. Suppose 70 = 2*c + t*c. Factor -3*a**2 - 2*a**5 + 21*a**3 + 17*a**4 + 7*a**5 + c*a**2 + 2*a.
a*(a + 1)**3*(5*a + 2)
Suppose -11 = -5*y + 4. Suppose -3*r + d + 14 = 0, 0*r + y*d - 18 = -r. Find v such that 7*v**2 + r*v**3 - v - v**2 + 3*v + 2*v**4 = 0.
-1, 0
Let v = 0 + 7. Suppose -3*y + 4*y = 0. Factor y*c - 7*c**3 + 2*c - 3 + v - 8*c**2 + c**3.
-2*(c + 1)**2*(3*c - 2)
Let q be 4/(-18)*135/(-60). What is j in 0 + q*j**3 - 1/2*j**2 + 0*j = 0?
0, 1
Factor 75*d + 53*d**2 - 17*d**2 + 1262 - 1244 - 21*d**3.
-3*(d - 3)*(d + 1)*(7*d + 2)
Let f(y) be the third derivative of y**7/7560 + y**6/2160 + y**4/24 - y**2. Let i(p) be the second derivative of f(p). Determine o so that i(o) = 0.
-1, 0
Let v be ((-40)/(-16))/(2/4). Let r(u) be the first derivative of -u + 1 - 4/5*u**v - u**4 + u**3 + u**2. Find p, given that r(p) = 0.
-1, 1/2
Suppose 9 = -0*o - 3*o. Let q(y) = y**3 + 4*y**2 + 2*y + 1. Let f be q(o). Factor 0*d**3 + 0 - d**2 - 1/2*d**5 + d**f + 1/2*d.
-d*(d - 1)**3*(d + 1)/2
Let u be (-1)/(-55) + 3/((-33)/(-2)). Let c(v) be the first derivative of 2/5*v**2 - 2/5*v**3 - 1/25*v**5 + 1 - u*v + 1/5*v**4. Factor c(w).
-(w - 1)**4/5
Let i be (-50)/4*15/(-50). Factor -i*d + 3/4*d**2 + 3.
3*(d - 4)*(d - 1)/4
Let n = 14/15 + -152/195. Factor n + 0*u - 2/13*u**2.
-2*(u - 1)*(u + 1)/13
Let y(t) = 4*t - 3. Let w be y(2). Suppose -a = 2*a - 48. Solve -26*p**3 + 31*p**5 + 0*p**2 - a*p**2 + 8*p - p**w + p**4 + 27*p**4 = 0.
-1, 0, 2/5, 2/3
Suppose -12 = -3*c, -5*z + 2 = 4*c - 6*c. Suppose -z*u = 3*i - 8 - 16, i + 3*u = 15. Determine v, given that 0*v + 0 + 4/3*v**2 - i*v**3 = 0.
0, 2/9
Factor 2/7*n**2 + 2/7 - 4/7*n.
2*(n - 1)**2/7
Let a(v) = -2*v**2 - v. Let t(x) = 3*x + 7 + 4*x**2 - 7. Suppose -5*l + 4*l + 3 = 0. Let b(k) = l*t(k) + 7*a(k). Find c, given that b(c) = 0.
0, 1
Let s(a) be the third derivative of -a**7/630 - a**6/360 + a**5/360 - a**3/3 + 4*a**2. Let q(h) be the first derivative of s(h). Factor q(g).
-g*(g + 1)*(4*g - 1)/3
Suppose 34*c - 40*c = -18. Let -1/2*f**2 - c*f - 9/2 = 0. What is f?
-3
Let m = -96/7 + 14. What is z in 0 + 0*z - 2/7*z**3 + 0*z**2 + m*z**4 = 0?
0, 1
Suppose 4*r = 10 + 18. Let u(j) be the third derivative of 0*j**3 - 1/180*j**6 - 1/180*j**5 + 0 + 0*j + 0*j**4 + 2*j**2 - 1/630*j**r. Factor u(k).
-k**2*(k + 1)**2/3
Let p(n) be the second derivative of n**9/98280 - n**7/5460 + n**6/2340 - 2*n**4/3 + n. Let q(y) be the third derivative of p(y). Suppose q(h) = 0. Calculate h.
-2, 0, 1
Let w(d) = -d**4 - d**2 + d. Let x(j) = -j**4 + 2*j**3 - 2*j**2 + 2*j. Let h(l) = 4*w(l) - 2*x(l). Factor h(o).
-2*o**3*(o + 2)
Let v = 12 + -8. Determine q so that 9*q**2 + v*q**4 - q**4 + 15*q**3 + 85*q - 112*q = 0.
-3, 0, 1
Let t(m) = m**2 - 5*m + 3. Let g be t(5). Suppose 4*b - 5 = g. What is d in -3*d + 5*d - d**2 + 2*d**b - 2*d**2 = 0?
0, 2
Suppose 0 = 4*h + 8, -6*h + 6 = -m - 9*h. Solve -2/5*u**2 + 2/5*u**4 + 2/5*u**5 + 0*u + m - 2/5*u**3 = 0.
-1, 0, 1
Let l(j) = 6*j**2 - 8*j - 5. Let f(t) = -7*t**2 + 9*t + 6. Let z(i) = 5*f(i) + 6*l(i). Let y be z(3). Factor 2/7*d**3 - 8/7 + 6/7*d**2 + y*d.
2*(d - 1)*(d + 2)**2/7
Let y(m) be the first derivative of -m**4/7 + 4*m**3/7 + 20. Let y(t) = 0. Calculate t.
0, 3
Let d be (-74)/(-26) + 26/169. Factor 0*k**2 + 3/2*k + 1 - 1/2*k**d.
-(k - 2)*(k + 1)**2/2
Let z(u) be the third derivative of u**6/900 + u**5/150 + u**4/60 + 2*u**3/3 - 5*u**2. Let p(c) be the first derivative of z(c). Let p(t) = 0. What is t?
-1
Suppose 12 = -0*v + 3*v. Let j(i) be the first derivative of -2/3*i**2 + 0*i + 1/3*i**v + 2/9*i**3 - 2/15*i**5 + 2. Let j(u) = 0. What is u?
-1, 0, 1, 2
Suppose 5*u - 15 + 0 = 0. Let n(s) = 2*s. Let i be n(u). Determine v, given that -i*v**4 + 2*v**5 - 6*v**2 - 5*v**3 + 4*v**2 + 11*v**3 = 0.
0, 1
Let a be (3/((-189)/(-12)))/(12/18). What is s in -2/7*s**4 + 0*s**3 + 0 + 0*s + 0*s**2 - a*s**5 = 0?
-1, 0
Suppose 5*v - 8 = v. Factor 6*a**v + 2*a**4 + 7*a - 2*a - 3*a + 6*a**3 + 0*a.
2*a*(a + 1)**3
Let f(w) be the third derivative of 0*w**3 + 0*w + 1/4*w**5 + 1/12*w**4 + 0 + 23/120*w**6 - 1/21*w**8 - 4/35*w**7 + 4*w**2. Let f(o) = 0. Calculate o.
-2, -1/4, 0, 1
Let b(q) be the third derivative of q**6/30 - q**5/15 - q**4/6 + 2*q**3/3 - 24*q**2. Find s, given that b(s) = 0.
-1, 1
Let q be 33/(-126) - 4/(-12). Let j(x) be the second derivative of -5/21*x**3 - 2/7*x**2 - q*x**4 + 0 - 2*x. Let j(u) = 0. C