) + 1*2. Let r be h(b). Suppose -8*l + 2*l**r - 3*l**3 - 12*l**4 - 7*l**5 + 8*l = 0. Calculate l.
-1, 0, 2/7
Let x(f) = 7*f**3 + f + 4. Let g(a) = 57*a**3 + 9*a + 33. Let k(u) = 4*g(u) - 33*x(u). Suppose k(j) = 0. Calculate j.
-1, 0, 1
Let p(a) = -a**2 - 2*a - 3. Let o(j) = 6*j**2 + 11*j + 16. Let z(x) = 2*o(x) + 11*p(x). Factor z(u).
(u - 1)*(u + 1)
Let o(c) = 4*c**2 + c. Let a be o(-1). Factor -a*q**2 - 8*q + 14*q - 12 + 6*q.
-3*(q - 2)**2
Let g(p) be the third derivative of 0*p**3 + 0 - 1/132*p**4 + 3*p**2 + 0*p + 1/110*p**5 - 1/220*p**6 + 1/1155*p**7. What is z in g(z) = 0?
0, 1
Let p be 0/(6/3) - 0. Let h(k) be the third derivative of 3*k**2 - 1/3*k**3 - 1/10*k**5 + 0*k + p - 1/60*k**6 - 1/4*k**4. Factor h(z).
-2*(z + 1)**3
Let r(p) = 0 - 1 - p**2 + 3*p**2 + 2*p. Let i be r(2). Let 11 + 2*m - 2*m**3 - i = 0. What is m?
-1, 0, 1
Let w = 163/7 - 23. Find b such that 32/7*b**3 - 2*b + 16/7*b**2 + w = 0.
-1, 1/4
Let k be (6 - 4 - 2)/5. Suppose 1/2*d**4 + k + 0*d + d**2 + 3/2*d**3 = 0. What is d?
-2, -1, 0
Let c(s) be the third derivative of 5*s**9/12096 + s**8/1344 + s**7/2520 + 5*s**4/24 + 5*s**2. Let i(a) be the second derivative of c(a). Solve i(p) = 0.
-2/5, 0
Let p(y) be the second derivative of y**4/60 + y**3/30 - y**2/5 - 19*y. Factor p(r).
(r - 1)*(r + 2)/5
Let a(r) = r**3 - 7*r**2 + 7*r - 4. Let p be a(6). Suppose p*h = -h. Factor -1/2*j**3 - 1/4*j**4 + h*j**2 + 1/4 + 1/2*j.
-(j - 1)*(j + 1)**3/4
Let f(h) be the first derivative of -h**6/36 - h**5/30 + h**4/24 + h**3/18 + 16. Suppose f(b) = 0. What is b?
-1, 0, 1
Let f = 261 - 5219/20. Let r(h) be the second derivative of -h + 1/6*h**4 + 0*h**2 + 1/6*h**3 + f*h**5 + 0. Suppose r(c) = 0. Calculate c.
-1, 0
Suppose -10 = -b - 8. Suppose d - 4 = b*a, -21 = -5*d - 1. What is o in -1/5*o**2 + 0*o + 0 + 1/5*o**4 + a*o**3 = 0?
-1, 0, 1
Find g such that 4*g**2 + 69 - 147 + 4*g + 54 = 0.
-3, 2
Let u(k) be the second derivative of -k**5/5 + 2*k**4/3 + 2*k**3 - 8*k. What is z in u(z) = 0?
-1, 0, 3
Let w(r) = -2*r + 6. Let h be w(2). Let u(b) be the second derivative of 1/6*b**4 + 0 + 1/2*b**h + 2*b + 1/40*b**5 + 5/12*b**3. Let u(a) = 0. What is a?
-2, -1
Suppose 0 = -5*y + 7*y. Factor y - 2/9*t + 2/9*t**2.
2*t*(t - 1)/9
Let s be (-1)/2*70/(-1). Suppose -5*o = -0*o - s. Find m such that o*m + 3*m**2 + 0*m + m**2 + 2 - m = 0.
-1, -1/2
Let n(k) = 5*k**2 - 9*k. Let y be n(2). Factor 0 + 0*i - 1/2*i**y.
-i**2/2
Factor -8*j**2 - 7*j**2 + 18*j - 4 - 5*j**2 + 6*j**3.
2*(j - 2)*(j - 1)*(3*j - 1)
Let z = -8 + 14. Suppose -5*v**2 + v**2 + z*v + v**2 - 3 = 0. What is v?
1
Let w(a) be the second derivative of a**7/11340 - a**6/540 + a**5/60 + a**4/4 - 5*a. Let r(l) be the third derivative of w(l). Factor r(y).
2*(y - 3)**2/9
Let k(u) be the third derivative of u**6/120 - u**5/20 + u**4/8 - u**3/6 + 4*u**2. Solve k(n) = 0 for n.
1
Let d be (-1)/(-5) + 3/135. Factor -10/9*q - d*q**3 - 4/9 - 8/9*q**2.
-2*(q + 1)**2*(q + 2)/9
Let r(l) = 2*l - 1. Let b(s) = 1 - s - s + s. Let h(o) = b(o) + r(o). Let k(j) = -j**2 - j - 2. Let p(u) = 4*h(u) + k(u). Factor p(z).
-(z - 2)*(z - 1)
Let z(t) be the second derivative of -t**9/60480 - t**8/8960 + t**6/720 - t**4/6 - t. Let k(q) be the third derivative of z(q). Let k(x) = 0. What is x?
-2, 0, 1
Factor 3/8*m**3 + 0*m + 0 + 0*m**2 + 3/8*m**5 - 3/4*m**4.
3*m**3*(m - 1)**2/8
Let n(q) be the second derivative of -q**9/9072 + q**8/5040 + q**7/2520 - q**6/1080 + q**3/6 - 2*q. Let c(f) be the second derivative of n(f). Factor c(h).
-h**2*(h - 1)**2*(h + 1)/3
Let d(m) be the third derivative of -1/6*m**3 + 0 - m**2 - 1/240*m**5 + 0*m - 1/24*m**4. Suppose d(v) = 0. What is v?
-2
Let u be 2/7 - 38/(-14). Let i be (-2)/((3/(-1))/3). Let 5*r**3 + 0*r**2 - i*r**2 + r**u + 2 - 6*r = 0. Calculate r.
-1, 1/3, 1
Let s(k) = k**3 + 2*k**2 - 2*k + 1. Let f be s(1). What is d in 2*d**2 + 2*d**2 - 10*d - 5 + 8*d**3 + 1 + f*d**3 = 0?
-1, -2/5, 1
What is d in 0*d**4 + 1/3*d**5 - 2/3*d**3 + 1/3*d + 0*d**2 + 0 = 0?
-1, 0, 1
Let n(k) = -k**3 - 9*k**2 + 10*k + 2. Let x be n(-10). What is y in -y - 2*y**x + y**2 - 2 + 2*y**2 = 0?
-1, 2
Suppose -2*z = 5*p + 2*z - 83, 5*p + 2*z = 79. Suppose 2*t = 7*t - p. Let 1/5*m - 1/5 - 2/5*m**t + 2/5*m**2 - 1/5*m**4 + 1/5*m**5 = 0. Calculate m.
-1, 1
Let x(r) = r**3 + 11*r**2 + 28*r + 34. Let a be x(-8). Factor 0 + 6/13*f**a + 2/13*f**4 - 2/13*f - 6/13*f**3.
2*f*(f - 1)**3/13
Let f be (-2)/6*0*13/39. Suppose -1/2*d**3 - 1/2*d**2 + f*d + 0 = 0. Calculate d.
-1, 0
Let z(i) be the second derivative of i**7/168 - i**6/120 + 5*i. Let z(a) = 0. What is a?
0, 1
Let l = 11/344 - -4/43. Let q(j) be the first derivative of -l*j**4 + 4*j - 3*j**2 + j**3 + 2. Factor q(v).
-(v - 2)**3/2
Suppose m + 5 = 2*m. Determine d, given that d**3 - d**m + 3*d**3 - 3*d**3 = 0.
-1, 0, 1
Let s(k) be the first derivative of 3*k**4/28 + 4*k**3/7 + 12. Factor s(d).
3*d**2*(d + 4)/7
Let r(i) be the first derivative of -i**4/16 - i**3/2 - 3*i**2/2 - 2*i + 1. Determine x so that r(x) = 0.
-2
Let q = 5 + -3. Suppose 2*f - f = q*y + 1, 14 = 2*y + 2*f. Factor 10/3*g**2 - 4/3 + y*g.
2*(g + 1)*(5*g - 2)/3
Let 2*n**2 - 4/5 + 6/5*n - 2*n**3 + 4/5*n**5 - 6/5*n**4 = 0. Calculate n.
-1, 1/2, 1, 2
Let s be 0 + -3 + 3 - -3. Solve t**2 - 6*t**2 + s*t**2 + 2*t**4 = 0 for t.
-1, 0, 1
Let b = -63 + 63. Let h(a) be the first derivative of -3/14*a**4 + 4/21*a**3 + 0*a**2 + 2 + b*a. Factor h(c).
-2*c**2*(3*c - 2)/7
Suppose -t + 8 = 3*n, 3*t = -2*n - 0*n + 10. Factor 0*x**3 + x**2 + 0 - 7*x**2 + 8 + t*x**3.
2*(x - 2)**2*(x + 1)
Let i(m) be the second derivative of -3*m**5/4 - 3*m**4 - 2*m**3 - 7*m. Solve i(c) = 0 for c.
-2, -2/5, 0
Let a be ((-1)/((-15)/1))/((-9)/(-30)). Factor a*g**2 - 2/3*g + 4/9.
2*(g - 2)*(g - 1)/9
Factor -15*y**2 + 0 + 17*y**2 - 2.
2*(y - 1)*(y + 1)
Suppose 0 = 4*q - 14 - 6. Solve -12*n**4 - 18*n**3 + 4*n**5 + 6*n**2 - 3*n - 7*n**q - 18*n**2 = 0 for n.
-1, 0
Let u = 930 + -10222/11. Determine r, given that -8/11*r**3 + 2/11 + 12/11*r**2 + 2/11*r**4 - u*r = 0.
1
Let k(r) be the second derivative of -r**4/2 - r**3/3 - 15*r. Factor k(j).
-2*j*(3*j + 1)
Factor 1/9*o**3 + 0 - 1/9*o**2 + 0*o - 1/9*o**5 + 1/9*o**4.
-o**2*(o - 1)**2*(o + 1)/9
What is n in 2*n**2 - 14*n - 2 - n**2 + 7*n + 8*n**2 = 0?
-2/9, 1
Let q(r) be the second derivative of -5*r + 1/24*r**4 + 0*r**2 - 1/6*r**3 + 0. Factor q(s).
s*(s - 2)/2
Let b(h) be the first derivative of 2*h**5/5 + 3*h**4 - 16*h**3 + 26*h**2 - 18*h + 28. Solve b(r) = 0 for r.
-9, 1
Let y be 3 - (-68)/(-12) - -3. Let f be 11/3 - (-6)/(-2). Factor f - y*p**3 - 2/3*p**2 + 1/3*p.
-(p - 1)*(p + 1)*(p + 2)/3
Let n(j) be the third derivative of -j**7/1155 + j**6/330 + j**5/110 - j**4/33 - 4*j**3/33 - j**2. Factor n(t).
-2*(t - 2)**2*(t + 1)**2/11
Factor -4/15*p - 2/15*p**2 + 4/15*p**3 + 2/15.
2*(p - 1)*(p + 1)*(2*p - 1)/15
Let i(y) be the first derivative of -y**4 - 20*y**3/3 - 6*y**2 + 36*y + 6. Factor i(v).
-4*(v - 1)*(v + 3)**2
Solve -3/7*j**2 - 9/7*j**4 + 3/7*j**5 + 0*j + 0 + 9/7*j**3 = 0.
0, 1
Let o(v) be the second derivative of -v**4/28 - v**3/7 - 21*v. Let o(t) = 0. Calculate t.
-2, 0
Let y(i) be the first derivative of i**5/5 - 3*i**4/4 + 2*i**3/3 - 6. Factor y(f).
f**2*(f - 2)*(f - 1)
Let t(m) = -2*m**4 + 10*m**3 - 8*m**2 - 2. Let z(n) = n**4 - n**3 - 1. Let c(w) = -t(w) + 2*z(w). Factor c(b).
4*b**2*(b - 2)*(b - 1)
Let b be 4/(-10) - (-60)/25. Solve 14*r**4 + 7*r**4 + 7*r**3 - 15*r + 8*r**3 + 6 - 27*r**b = 0.
-1, 2/7, 1
Let o(g) be the third derivative of -g**8/4200 + g**7/700 - g**6/300 + g**5/300 - g**3/6 + 6*g**2. Let a(t) be the first derivative of o(t). Solve a(p) = 0.
0, 1
Let g(s) be the second derivative of -s**7/21 - 3*s**6/5 - 7*s**5/5 + s**4/3 + 5*s**3 + 7*s**2 + 33*s. Factor g(v).
-2*(v - 1)*(v + 1)**3*(v + 7)
Let w(h) be the third derivative of h**5/60 + 5*h**4/24 + h**3 - 2*h**2. Factor w(s).
(s + 2)*(s + 3)
Let i(h) be the third derivative of h**9/1260 - 29*h**8/6720 + h**7/315 + h**6/180 + h**4/24 - 4*h**2. Let p(m) be the second derivative of i(m). Factor p(x).
x*(x - 2)*(3*x - 2)*(4*x + 1)
Let t(u) be the third derivative of 7*u**8/144 - 5*u**7/18 + 11*u**6/45 + 46*u**5/45 - 14*u**4/9 + 8*u**3/9 - 5*u**2. Solve t(j) = 0.
-1, 2/7, 2
Let s = 975 + -3899/4. Factor 0*p + s*p**2 - 1/4.
(p - 1)*(p + 1)/4
Let f be 2/(-10)*20/8*0. Let c(v) be t