+ 8*k**3/9 - 4*k/3 - 8. Let s(f) = 0. What is f?
-1, 1
Let c = 1009/9 - 112. Let j(l) be the second derivative of 1/15*l**6 + 2/3*l**2 + l + 0 + 1/30*l**5 - c*l**3 - 5/18*l**4. Let j(p) = 0. Calculate p.
-1, 2/3, 1
Let k be (-2)/(58/31) + 1. Let v = 64/87 + k. What is l in -v*l + 7/3*l**3 + 5/3*l**2 + 0 = 0?
-1, 0, 2/7
Let n(c) be the second derivative of 1/18*c**4 - 1/3*c**2 + 0*c**3 - 4*c + 0. Factor n(y).
2*(y - 1)*(y + 1)/3
Factor -4/9*l**4 + 0*l + 2/3*l**3 + 0 - 2/9*l**2.
-2*l**2*(l - 1)*(2*l - 1)/9
Let j(k) be the first derivative of -2*k**3/3 - 28*k**2 - 392*k - 11. Factor j(x).
-2*(x + 14)**2
Let d be 159/7 - (-2)/7. Suppose -d - 19 = -5*y + c, -y - 5*c = 2. Factor u**3 - 3*u**4 + 2*u**2 - y*u**2 - 9*u**3 + 1.
-(u + 1)**3*(3*u - 1)
Let f be 4/(-10) + 8/20. Suppose v - 7 = -2*h, f*h - 5 = -v - h. Factor -r + v*r + r - 2*r**2 - r.
-2*r*(r - 1)
Let k(h) = -2*h - 7. Let s be k(-5). Find x such that -6*x**4 - 4*x**5 + s*x**3 + 0*x**5 + 6*x**2 + x**5 = 0.
-2, -1, 0, 1
Let d(o) = -o - 3. Let q be d(6). Let j be 6/27 + (-2)/q. Find i such that 0 + 2/9*i**2 + j*i = 0.
-2, 0
Let k(m) be the first derivative of -m**4 + 8*m**3/3 + 44. Find d such that k(d) = 0.
0, 2
Let i(r) = -r**2 + 5*r + 5. Let o be i(4). Suppose 2*t - 2*t**3 + 1 + 9*t**2 + t**4 - 2 - o*t**2 = 0. What is t?
-1, 1
Let k(q) be the first derivative of -2*q**6/45 - 2*q**5/15 - q**4/6 - q**3/3 - 6. Let v(t) be the third derivative of k(t). Find i such that v(i) = 0.
-1/2
Let c = 13 + -11. Factor 0*q**c + q**2 - q**2 - q**2.
-q**2
Let s(z) = 4*z**2 + 6*z + 2. Let v(h) = -5*h**2 - 6*h - 3. Let g(y) = -7*s(y) - 6*v(y). Factor g(w).
2*(w - 2)*(w - 1)
Let t be 4*1/2 - 1. Suppose g = 4 - t. Let -2*i**g - 5 - 2*i**5 + 5 - 4*i**4 = 0. What is i?
-1, 0
Let h(n) be the first derivative of 2*n**3/9 - 5*n**2/12 + n/6 - 5. Factor h(t).
(t - 1)*(4*t - 1)/6
Let d = -19317/6035 + 1/1207. Let n = d - -47/10. Find z such that 0 - n*z**3 - 1/2*z - 3/2*z**2 - 1/2*z**4 = 0.
-1, 0
Let j(u) be the first derivative of u**4/4 - 4*u**3/3 - 2*u**2 - 3*u + 7. Let l be j(5). Factor 0 + 0*q - 4/9*q**l + 2/9*q**3.
2*q**2*(q - 2)/9
Let c(i) be the second derivative of i**5/20 - i**3/3 - i**2/2 - 6*i. Let x be c(2). Factor 0*u**2 - 2/3*u**5 + 4/3*u**x - 2/3*u + 0 + 0*u**4.
-2*u*(u - 1)**2*(u + 1)**2/3
Suppose -5*b + 18 = q, 2*b = 3*b - 3. Factor -q*o + 5*o + 2*o**2 + 0*o.
2*o*(o + 1)
Let u(q) be the first derivative of 3*q**7/35 - q**6/3 + 13*q**5/30 - q**4/6 - 3*q**2/2 + 2. Let z(k) be the second derivative of u(k). Factor z(s).
2*s*(s - 1)**2*(9*s - 2)
Determine l, given that -4*l**4 - 40*l**3 + 5*l**2 + 5*l**5 + 25*l**3 + 10*l - l**4 = 0.
-1, 0, 1, 2
Let f(k) be the first derivative of -2*k**3/9 + 2*k**2/3 - 2*k/3 + 1. Factor f(n).
-2*(n - 1)**2/3
Let q(x) = 2*x**5 - 2*x**4 - 2*x**3 + x**2 - x. Let n(p) = -p**5 + p**4 + p**3 + p. Let a(z) = -n(z) - q(z). Factor a(b).
-b**2*(b - 1)**2*(b + 1)
Let z(t) be the second derivative of -1/10*t**5 + 0 - 1/45*t**6 + 1/18*t**4 + 0*t**2 + 0*t**3 + 3*t + 1/21*t**7. Let z(l) = 0. Calculate l.
-1, 0, 1/3, 1
Let k(n) be the second derivative of -1/5*n**6 - 1/6*n**4 + 0*n**3 + 3/10*n**5 - 3*n + 0*n**2 + 0 + 1/21*n**7. Factor k(z).
2*z**2*(z - 1)**3
Let f(w) = w**3 - 7*w**2 - 9*w + 10. Let d be f(8). Find c, given that 2*c**2 - 5 + 5 + 4*c**d - 2*c = 0.
0, 1/3
Let q(j) = 3*j**2 + 15*j + 15. Let m(o) = o**2 + o + 1. Let a = -5 - -6. Let y(z) = a*m(z) + q(z). Factor y(f).
4*(f + 2)**2
Let g = 4/23 - -291/46. Determine m, given that 21/2*m**2 - g*m + 1 = 0.
2/7, 1/3
Let t(j) be the second derivative of j**4/48 - j**2/8 - 7*j. Suppose t(c) = 0. What is c?
-1, 1
Solve -1/3*c + 0*c**2 + c**5 - 8/3*c**4 + 0 + 2*c**3 = 0 for c.
-1/3, 0, 1
Let u(j) be the third derivative of -7*j**5/100 + 13*j**4/120 - j**3/15 + 3*j**2. Determine n so that u(n) = 0.
2/7, 1/3
Let i be ((-40)/(-44))/5 + (-6)/33. Factor i*f + 1/5*f**2 + 1/5*f**3 + 0.
f**2*(f + 1)/5
Let w(p) be the second derivative of -4/15*p**3 + 4/5*p**2 - 1/10*p**5 - 6*p + 0 - 13/30*p**4. Factor w(i).
-2*(i + 1)*(i + 2)*(5*i - 2)/5
Let l(a) be the second derivative of 4*a + 1/20*a**5 - a**2 + 0 + 1/30*a**6 - 1/4*a**4 - 5/6*a**3. Factor l(q).
(q - 2)*(q + 1)**3
Let u(p) be the second derivative of -1/6*p**4 + p**2 - 1/3*p**3 - 4*p + 0 + 1/10*p**5. Factor u(q).
2*(q - 1)**2*(q + 1)
Suppose 3*d**4 + 5*d**3 - 4*d**3 + 4*d**3 - 2*d**3 = 0. Calculate d.
-1, 0
Let h(b) = 15*b**2 - 30*b - 18. Let f(l) = -l**2 + l - 1. Let g(t) = -6*f(t) + h(t). Let g(i) = 0. Calculate i.
-2/7, 2
Suppose 15*k - 6*k = -11*k. Suppose k*x - 8/7 + 2/7*x**2 = 0. Calculate x.
-2, 2
Let d(t) be the first derivative of 0*t**2 - 5 + 2/15*t**3 + 0*t. Determine s so that d(s) = 0.
0
Let y(d) be the first derivative of 7*d**6/27 + 2*d**5/9 - d**4/2 - 10*d**3/27 + 2*d**2/9 + 16. Find l, given that y(l) = 0.
-1, 0, 2/7, 1
Let s(n) = n**2 - 5*n - 7. Let w be s(7). Let z be 2/(-6) + w/12. What is t in 0*t + z*t**2 - 1/4 = 0?
-1, 1
Let u = 17 + -23. Let d be 3/u*(4 + -4). Factor d + 2/3*c**2 + 2/3*c.
2*c*(c + 1)/3
Let a(x) be the third derivative of -1/8*x**4 + 0*x**3 + 0*x + 0*x**5 + 1/40*x**6 + 2*x**2 + 0. Factor a(p).
3*p*(p - 1)*(p + 1)
Let x(t) be the second derivative of t**8/1470 - 2*t**7/735 + t**6/252 - t**5/420 - t**3 + 3*t. Let s(b) be the second derivative of x(b). Solve s(c) = 0 for c.
0, 1/2, 1
Let m be 66/84 - ((-3)/(-2))/3. Let 0*q**2 + 2/7*q**4 + 0 + 0*q + m*q**3 = 0. Calculate q.
-1, 0
Suppose d = -4*n + 24, -5*n + 30 = d + d. Factor 0*c**4 + 0*c**3 + 3*c**5 - n*c**4 + 3*c**3.
3*c**3*(c - 1)**2
Let k(l) = l - 7. Let r be k(10). What is b in -2*b**3 + b**2 - 3 + 3 - 2*b + r*b**2 = 0?
0, 1
Let z(j) be the second derivative of -j**4/16 + j**3/8 + 3*j**2/4 + 4*j. Factor z(b).
-3*(b - 2)*(b + 1)/4
Factor -9*t**2 + 3/4*t**4 - 3*t**3 + 24*t + 48.
3*(t - 4)**2*(t + 2)**2/4
Suppose -6 = -3*w - 7*b + 5*b, 0 = 2*b. Suppose 1/4*r**4 - 1/2*r**w + 0*r**3 + 1/4 + 0*r = 0. Calculate r.
-1, 1
Let v be 0 - 11/(385/(-10)). Factor 0*s**3 + 0 + v*s**4 - 2/7*s**2 + 0*s.
2*s**2*(s - 1)*(s + 1)/7
Let h(p) = p**3 + 2*p**2 + p + 4. Let c be h(-2). Factor 0*s + 2/9*s**c + 0 - 2/9*s**3.
-2*s**2*(s - 1)/9
Let b(m) = -m**3 + 4*m**2 - 4*m + 2. Let k be b(2). Suppose l - k*l + 2 = 0. Let 2 - l*t**2 + t - t**2 + 2*t**2 = 0. Calculate t.
-1, 2
Let c(o) be the third derivative of o**5/270 - 2*o**4/27 + 4*o**3/9 - 37*o**2. Solve c(m) = 0 for m.
2, 6
Find n such that -6*n**4 - 18*n**3 + 66*n**4 - 17*n**3 + 35*n - 55*n**2 - 5 = 0.
-1, 1/4, 1/3, 1
Let h(z) be the first derivative of z**8/1512 + 2*z**7/945 - z**5/135 - z**4/108 - 3*z**2 - 3. Let a(p) be the second derivative of h(p). Factor a(k).
2*k*(k - 1)*(k + 1)**3/9
Let k be ((-24)/(-70))/((-39)/(-30) + -1). Let -2*z**3 - 16/7*z - 38/7*z**2 + k = 0. What is z?
-2, -1, 2/7
Let v = 40 + -36. Let b(s) be the third derivative of 0*s + 1/20*s**5 + 0 + v*s**2 + 1/2*s**3 - 1/4*s**4. Let b(t) = 0. What is t?
1
Let z(h) be the second derivative of 0*h**5 + 0*h**2 - 2*h - 1/10*h**6 + 0 + 0*h**3 + 1/14*h**7 + 0*h**4. Suppose z(i) = 0. Calculate i.
0, 1
Suppose -z + 5*w = z, -z + 3*w = 0. Let 1/2*k**5 - 1/2*k**3 + 0*k**4 + 0*k + 0 + z*k**2 = 0. What is k?
-1, 0, 1
Let c(o) be the second derivative of 27*o**6/2 + 99*o**5/2 + 785*o**4/12 + 110*o**3/3 + 10*o**2 - 71*o. Let c(p) = 0. What is p?
-1, -2/9
Let l = 425/3 + -141. Factor 0*v + 2/3*v**3 + 2/3*v**2 + 0 - 2/3*v**5 - l*v**4.
-2*v**2*(v - 1)*(v + 1)**2/3
Let f(d) = d - 5. Let b be f(7). Factor 7*c - 3 + 4*c**b - 5*c + 3 + 2*c**3.
2*c*(c + 1)**2
Suppose 4*j - 1 - 11 = 0. Let -3*z - z**2 - z + j*z**2 = 0. What is z?
0, 2
Factor 23 + 32*d - 4*d**2 - 87 + 0*d.
-4*(d - 4)**2
Suppose -2*c = -o - 3*c - 2, -3*o + 14 = -c. Solve -6*k**4 + 2*k**5 - 5*k**3 - 14*k**2 + 12*k**2 + 11*k**o = 0 for k.
0, 1
Let h(r) be the second derivative of 0*r**2 - 1/18*r**4 - 1/15*r**5 - 2*r - 1/45*r**6 + 0*r**3 + 0. Solve h(j) = 0.
-1, 0
Find b, given that -22*b**3 - 20*b + 40*b**2 - 16*b**3 - 4*b**5 + 20*b**4 - 2*b**3 + 4 = 0.
1
Let y(j) = j**5 - 2*j**4 + 4*j**3 + j**2 - 2*j - 5. Let t(o) = -2*o**4 + 4*o**3 + 2*o**2 - 2*o - 4. Let r(k) = -6*t(k) + 4*y(k). Find p such that r(p) = 0.
-1, 1
Suppose -4*b - 2*k + 13 = 3*k, -4*b = -3*k - 5. Determine x, given that -x**3 - 1/2 + 3/2*x**b + 0*x = 0.
-1/2, 1
Let p(y) be the second deriva