 Suppose z(o) = 0. What is o?
-1, 0, 1
Let o be (5 - 1)*40/(-16). Let k = -8 - o. Find d such that 0*d + 0 - 1/2*d**k = 0.
0
Suppose 4*w + 8 = 4*s - w, 0 = 5*s + 4*w + 31. Let x be ((-4)/(-42))/(s/(-9)). Suppose -2/7*c**2 + x*c**3 - 2/7*c + 2/7 = 0. Calculate c.
-1, 1
Let z = 6 + -4. Factor 1 + 4*l**3 - 4*l**3 + 3*l**z + 3*l - l**3 + 2*l**3.
(l + 1)**3
Let c(d) = 4*d + d - 4 - 2*d - 4*d. Let r be c(-7). What is k in 1 + 3*k**3 - 1 + 0*k**3 - r*k = 0?
-1, 0, 1
Let p = -27 + 11. Let z = 19 + p. Factor 0*o**2 + 0 - 2/3*o + 2/3*o**z.
2*o*(o - 1)*(o + 1)/3
Let u = -8 + 8. Let w be u - 0 - 5/(-20). Find p, given that 1/4 + 1/4*p - w*p**3 - 1/4*p**2 = 0.
-1, 1
Factor -1/7*v**2 + 0*v + 2/7*v**3 + 0.
v**2*(2*v - 1)/7
Let x(b) = -2*b - 6. Let q be x(-3). Let n(p) be the first derivative of -1/10*p**5 + 2 - 1/4*p**4 + q*p - 1/6*p**3 + 0*p**2. What is s in n(s) = 0?
-1, 0
Let r(a) be the third derivative of a**9/302400 - a**8/50400 - a**5/60 - 3*a**2. Let t(f) be the third derivative of r(f). Suppose t(i) = 0. Calculate i.
0, 2
Let u(t) be the second derivative of t**7/6300 - t**4/4 - 4*t. Let j(c) be the third derivative of u(c). Factor j(n).
2*n**2/5
Find t such that 1/3*t**3 + 4/3 - t**2 + 0*t = 0.
-1, 2
Let t(d) be the second derivative of 3/20*d**5 + 9/2*d**2 + 0 - 5/2*d**3 + 1/4*d**4 - 6*d. Factor t(i).
3*(i - 1)**2*(i + 3)
Let q(r) be the second derivative of r**7/120 + r**6/180 - 7*r**5/120 - r**4/12 - r**3 + 7*r. Let m(b) be the second derivative of q(b). Factor m(o).
(o - 1)*(o + 1)*(7*o + 2)
Let d(m) = -m - 5 + 6 + 8. Let q be d(9). Factor 0 + q*z**2 + 0*z**4 + 2/7*z - 4/7*z**3 + 2/7*z**5.
2*z*(z - 1)**2*(z + 1)**2/7
Find j such that 2*j**3 + 6*j**2 - 5*j**3 - 2*j**2 + 2*j**2 = 0.
0, 2
Let q = 949 + -12327/13. Find l, given that 4/13*l**3 + 0*l + q*l**5 + 14/13*l**4 + 0*l**2 + 0 = 0.
-1, -2/5, 0
Find b such that 1/3*b**2 + 0*b**3 - 1/3*b**4 + 0 + 0*b = 0.
-1, 0, 1
Solve -8*w**4 - w**4 + 2*w + 15*w**2 - 6 - 9*w**3 - 6*w**3 + 13*w = 0.
-2, -1, 1/3, 1
Let q = 3 - -1. Let z be 6 + -6*2/q. Factor -l + 0 - 5*l**2 + 2*l**2 - 2*l**z + 0.
-l*(l + 1)*(2*l + 1)
Factor 0 + 4/3*m**5 + 4/3*m**2 - 4/3*m**4 + 0*m - 4/3*m**3.
4*m**2*(m - 1)**2*(m + 1)/3
Suppose l + 14 = -3*w + 40, -38 = -4*w + 2*l. Suppose -3*r + 0*r + w = 0. Factor -2*j**2 + 2*j**2 + r*j**2 + 2*j - 3*j.
j*(3*j - 1)
Let s(z) be the second derivative of 0*z**4 + 0 + 1/10*z**5 + 2*z + 0*z**2 - 1/3*z**3. Find v, given that s(v) = 0.
-1, 0, 1
Suppose 2 + 6 = -q. Let i(d) = -2 - 14*d**2 - 2 + 3 - 3 - 10*d. Let f(n) = 5*n**2 + 3*n + 1. Let l(s) = q*f(s) - 3*i(s). Factor l(c).
2*(c + 1)*(c + 2)
Let u = -9 - -9. Let z be (4/12)/1*u. Determine d so that -d**3 - 1/3*d**4 - 1/3*d - d**2 + z = 0.
-1, 0
Let h = 34 + -18. Let l(s) = -12*s**2 + 8*s. Let x(y) = -4*y**2 + 3*y. Let q(a) = h*x(a) - 5*l(a). Factor q(z).
-4*z*(z - 2)
Let p = 107/70 + -1/10. Factor -8/7 - p*j - 2/7*j**2.
-2*(j + 1)*(j + 4)/7
Suppose -16*m - 2*m = -54. Let t(j) be the third derivative of -1/12*j**4 + 1/15*j**5 - 2/105*j**7 + 0*j + 0*j**6 + 1/168*j**8 + 0 + j**2 + 0*j**m. Factor t(f).
2*f*(f - 1)**3*(f + 1)
Let c = 37/1820 - 1/273. Let w(q) be the second derivative of -1/36*q**4 + 0 - 1/18*q**3 + q + c*q**5 + 1/6*q**2. Factor w(b).
(b - 1)**2*(b + 1)/3
Factor -2/3*m**3 + 0 - 4/3*m - 2*m**2.
-2*m*(m + 1)*(m + 2)/3
Let g be 7*6*68/(-36). Let u = 84 + g. Factor 4/3*v**2 + u*v**4 + 0 + 0*v + 6*v**3.
2*v**2*(v + 1)*(7*v + 2)/3
Let d(w) = 11*w**2 + 2*w + 17. Suppose 6 = x - 0. Let k(a) = -5*a**2 - a - 8. Let v(j) = x*d(j) + 13*k(j). Find l such that v(l) = 0.
-1, 2
Let t(b) be the third derivative of b**7/350 + b**6/200 - b**5/100 - b**4/40 + 25*b**2. Factor t(c).
3*c*(c - 1)*(c + 1)**2/5
Let l(q) = -q**2 + q. Let c be l(2). Let i be (-1)/(-1)*c/(-6). Solve 0*t - i*t**4 + 0 - 1/3*t**3 + 0*t**2 = 0.
-1, 0
Let i be (-16)/(-24) - (-2)/(-8). Let q(g) be the third derivative of 2*g**2 - i*g**4 + 0 - 2/3*g**3 - 1/60*g**6 - 2/15*g**5 + 0*g. Factor q(o).
-2*(o + 1)**2*(o + 2)
Let h = 4619/5166 - 3/574. Factor 2/3*n**2 - h*n - 8/9.
2*(n - 2)*(3*n + 2)/9
Suppose 3*s - 2*w = -0*w, 0 = -5*s + 3*w + 1. Let 40*h**3 + 1/2 + 13/2*h + 28*h**s = 0. What is h?
-1/4, -1/5
Let z(f) = f**2 + 10*f + 9. Let o be z(-1). Solve -1/2*c**4 + o*c - 1/2*c**2 + 0 + c**3 = 0.
0, 1
Let 0 - 3/8*c**5 + 0*c - 3/8*c**4 + 3/8*c**2 + 3/8*c**3 = 0. What is c?
-1, 0, 1
Suppose 1 = 3*d - 5. Suppose d*l + 2*l = 12. Find g such that 4*g + 3*g**l + 2*g**2 - 7*g**3 - 1 - 1 = 0.
-1, 1/2, 1
Let f(p) = -p**3 - 3*p**2 + 3*p - 2. Suppose 3 = -2*y - 5. Let u be f(y). Factor 0 + 1/3*a**3 + 0*a + 1/3*a**u.
a**2*(a + 1)/3
Let r be (-12)/4 + (-2 - (-10 - -3)). Find h such that -2/3*h + 0 - r*h**3 - 2*h**2 - 2/3*h**4 = 0.
-1, 0
Determine n, given that -2/7*n**2 - 12/7*n - 18/7 = 0.
-3
Let a(k) = -k**3 + 12*k**2 + k - 9. Let d be a(12). Determine i so that 12*i**2 - 18*i**4 + 6*i + 21*i**5 + 3*i**4 + d*i**2 - 27*i**3 = 0.
-1, -2/7, 0, 1
Let c(d) = d - 2. Let i be c(6). Let t be (i - 3) + 1/(-2). Factor -1/4*s**2 - 1/4 + t*s.
-(s - 1)**2/4
Let c(b) be the second derivative of -b**5/20 + b**3/2 + b**2 - 29*b. What is g in c(g) = 0?
-1, 2
Suppose y - 12 = -d, -3*y - 6 = -2*y - 5*d. Let p be ((-4)/(-15))/(6/y). Factor -p*z**2 + 0 + 4/5*z**3 - 2/5*z.
2*z*(z - 1)*(2*z + 1)/5
Let l(v) be the first derivative of -2*v**7/315 - v**6/135 - v**5/360 + 7*v**3/3 - 6. Let x(b) be the third derivative of l(b). Let x(h) = 0. Calculate h.
-1/4, 0
Let b = 3/176 + 2455/528. Factor -b*t**4 - 6*t**3 - 2/3*t - 4/3*t**5 + 0 - 10/3*t**2.
-2*t*(t + 1)**3*(2*t + 1)/3
Factor 0 + 0*u**3 + 0*u + 0*u**2 - 4/3*u**4 - 4/3*u**5.
-4*u**4*(u + 1)/3
Let w be (-30)/(-8) + 2/8. Let c be ((-2)/3)/(w/(-24)). Factor -3*p**c + 6*p**4 + 3*p + 0*p**2 - 3*p**2 - 3*p**3.
3*p*(p - 1)**2*(p + 1)
Let c(q) be the third derivative of q**8/840 + q**7/140 + q**6/60 + q**5/60 - 2*q**3/3 - 4*q**2. Let w(x) be the first derivative of c(x). Factor w(y).
2*y*(y + 1)**3
Let a(r) be the second derivative of -r**9/1512 + r**8/420 - r**7/420 + r**3/3 - 2*r. Let t(p) be the second derivative of a(p). Factor t(h).
-2*h**3*(h - 1)**2
Let f = -281/6 - -47. Let x(t) be the second derivative of 0*t**4 + f*t**3 - 2*t - 1/20*t**5 + 0 + 0*t**2. Factor x(d).
-d*(d - 1)*(d + 1)
Let i be 3 + 0/(-4 - -2) + -1. Let z(g) be the third derivative of 0 + 0*g + 1/10*g**5 + g**i - 1/3*g**4 + 1/15*g**6 + 1/105*g**7 - 4/3*g**3. Factor z(a).
2*(a - 1)*(a + 1)*(a + 2)**2
Let u(c) be the first derivative of 0*c**3 - 1/4*c**4 + 0*c + 1/5*c**5 + 3 + 0*c**2. Factor u(z).
z**3*(z - 1)
Let b(s) = -s**2 + 22*s - 81. Let i be b(17). Factor 2/3*x**2 + 1/3*x**i + x**3 + 0*x + 0.
x**2*(x + 1)*(x + 2)/3
Let t = 50 - 49. Let j(d) be the first derivative of 0*d**2 - 1/9*d**3 + 1/3*d + t. Factor j(q).
-(q - 1)*(q + 1)/3
Let p be (-2 - 926/6)/(-1). Let z = p + -155. Factor -4/3*k + 2/3*k**4 + z*k**3 - 2/3 + 0*k**2.
2*(k - 1)*(k + 1)**3/3
Let o(n) be the second derivative of -15*n**7/56 + 7*n**6/20 + n**5/20 - n**4/6 + 12*n. Let o(x) = 0. Calculate x.
-2/5, 0, 2/3
Let x(i) be the second derivative of -1/5*i**6 + 0*i**3 + 6*i + 0*i**2 - 3/20*i**5 + 1/2*i**4 + 1/14*i**7 + 0. Factor x(a).
3*a**2*(a - 2)*(a - 1)*(a + 1)
Factor -2*z + 2/3*z**2 + 4/3.
2*(z - 2)*(z - 1)/3
Let q(c) be the first derivative of 4*c**3/9 - c**2/2 + 10. Factor q(k).
k*(4*k - 3)/3
Factor 2/3*d**3 + 0 + 2/3*d**2 - 2/3*d - 2/3*d**4.
-2*d*(d - 1)**2*(d + 1)/3
Let v(p) be the first derivative of 0*p**4 + 0*p**5 + 0*p**6 + 0*p - 2/3*p**3 - 2 + 1/3780*p**7 + 0*p**2. Let s(t) be the third derivative of v(t). Factor s(n).
2*n**3/9
Let c(a) be the first derivative of a**4/4 + 7*a**3/3 - 7*a**2/2 + 8*a + 2. Let s be c(-8). Suppose -2*d**2 + d - 3*d + s*d**2 = 0. Calculate d.
-1, 0
Let c(w) = w**2 + 6*w + 15. Let n(h) = h**2 + h. Let p(u) = c(u) - 6*n(u). Let d(b) = 9*b**2 + b - 29. Let a(l) = 6*d(l) + 11*p(l). Factor a(i).
-(i - 3)**2
Let t(h) be the first derivative of -54*h**5/55 - 51*h**4/44 - 4*h**3/33 + 2*h**2/11 + 16. Solve t(o) = 0 for o.
-2/3, -1/2, 0, 2/9
Suppose -5*l - 8 = 3*p + 8, -l + 7 = 4*p. Let y = p - 3. Let 2/7*z + y + 0*z**2 - 2/7*z**3 = 0. Calculate z.
-1, 0, 1
Let j(u) be the second derivative of u**5/300 + u**4/120 - u**3/15 + u**2 + 4*u. Let l(b) be the first derivative of j(b). Find r, given that l(r) = 0.
-2, 1
