(x) = 0. What is x?
-2, 0, 2/7, 2/5, 1
Factor -1/3*g**3 - 7/3*g + 5/3*g**2 + 1.
-(g - 3)*(g - 1)**2/3
Let l = -5 + 8. Suppose 0 = l*a - 16 + 1. Determine i, given that 3*i**a - i**2 + 3*i**3 - i**4 - 2*i**4 - 2*i**5 = 0.
0, 1
Let q(f) be the first derivative of 4*f**5/5 + 4*f**4 + 4*f**3 - 6. Factor q(b).
4*b**2*(b + 1)*(b + 3)
Find f such that -2*f - 4/3 - 2/3*f**2 = 0.
-2, -1
Let o(t) be the second derivative of -t**4/12 + 2*t**3/3 + 19*t. Solve o(s) = 0 for s.
0, 4
Let h(d) be the third derivative of -3*d**7/35 - d**6/40 + 2*d**5/5 + d**4/8 - d**3 - 5*d**2. Suppose h(n) = 0. What is n?
-1, -2/3, 1/2, 1
Find q such that -28*q**2 - 3*q**2 + 17*q**2 + 52*q + 16 = 0.
-2/7, 4
Find s such that -3/4 + 0*s + 3/4*s**2 = 0.
-1, 1
Let z = 14 - 27/2. Factor 3/2*c - 1 - z*c**3 + 0*c**2.
-(c - 1)**2*(c + 2)/2
Let k be 7/2*(-24)/(-21). Suppose k*p + 2*p = 0. Factor 0*j**2 + p*j + 0 + 1/5*j**3.
j**3/5
Factor 4/7*w + 0 - 2*w**2.
-2*w*(7*w - 2)/7
Let p(f) = -f**2 - 4*f - 1. Let t be p(-3). Factor -2*y**3 - 2*y - 4*y**t - 2 + 2 + 0*y**2.
-2*y*(y + 1)**2
Let d(z) = z**3 - 7*z**2 + 5*z + 7. Let p be d(6). Let a be (p - 1) + 3 + 0. Factor 0*c - 2*c**2 - 1/2*c**4 + 0 + 2*c**a.
-c**2*(c - 2)**2/2
Let k = -12/833 + 232467/4165. Let o = 56 - k. Factor 1/5*g**2 + o*g**3 + 0 - 1/5*g**4 - 1/5*g.
-g*(g - 1)**2*(g + 1)/5
Suppose -2*j - 4 = -k + 2*j, 4*k - 5*j - 5 = 0. Let o(b) be the third derivative of 1/180*b**6 + 0*b + 0*b**3 - b**2 + 0 - 1/90*b**5 + k*b**4. Factor o(r).
2*r**2*(r - 1)/3
Let i(m) = m**2 + 4*m + 3. Let v(n) be the second derivative of 2*n**3/3 + 2*n**2 - 4*n. Let p(a) = 3*i(a) - 2*v(a). Factor p(j).
(j + 1)*(3*j + 1)
Let a(r) = r**2 + 4*r - 1. Suppose -5*l - 25 = -0*l. Let p be a(l). Factor -k + 0*k**4 + 5*k**3 + k**2 - 2*k**4 - p*k**3 + k**4.
-k*(k - 1)**2*(k + 1)
Suppose 0 = n + 16 - 19. Let g(b) be the second derivative of 1/30*b**4 + 0*b**n - 3*b + 0 - 1/5*b**2. Factor g(a).
2*(a - 1)*(a + 1)/5
Suppose 0 = -6*c + 13 + 5. Factor 4/9*s**2 + 0 + 2/9*s**c + 2/9*s.
2*s*(s + 1)**2/9
Let b(z) be the third derivative of 0 + 7*z**2 + 0*z + 0*z**4 + 1/4*z**3 - 1/40*z**5. Let b(h) = 0. What is h?
-1, 1
Let j be 158/18 + 4/18. Let c(g) = g**2 - 9*g + 2. Let i be c(j). Suppose 6 - i*n - 7 + 0*n**2 - n**2 = 0. Calculate n.
-1
Let h(z) be the third derivative of -z**7/5880 - z**6/1680 - z**4/6 + z**2. Let s(n) be the second derivative of h(n). Solve s(u) = 0 for u.
-1, 0
Let f = -15 - -19. Let j be (2 - 1) + 3/3. Solve -10*p**3 - f*p**j + p**3 - 5*p**3 = 0 for p.
-2/7, 0
Suppose -5*q + 30 = -3*q. Suppose -4*d - 1 = -2*f - q, 0 = 3*d - 3*f - 15. Factor 1/2*n**3 + 0 + 0*n**d - 1/2*n.
n*(n - 1)*(n + 1)/2
Let g = 2/123 + 35/369. Let d(i) be the first derivative of -g*i**3 - 1/12*i**4 + 1/15*i**5 + 1/6*i**2 + 1 + 0*i. Find z, given that d(z) = 0.
-1, 0, 1
Suppose -1/5 + 2/5*a - 1/5*a**2 = 0. What is a?
1
Let c(t) be the second derivative of -t**7/21 + t**6/15 + 3*t**5/10 - 5*t**4/6 + 2*t**3/3 - 21*t. Factor c(m).
-2*m*(m - 1)**3*(m + 2)
Let p be ((-6)/(-12))/((-1)/(-4)). Let z(k) be the first derivative of 0*k - 4/15*k**3 + 1/5*k**p + 1/10*k**4 + 1. Factor z(d).
2*d*(d - 1)**2/5
Suppose 0 = -12*g + 24*g. Solve -1/2*i**2 - 1/4*i**5 + 1/4*i + 0*i**3 + g + 1/2*i**4 = 0 for i.
-1, 0, 1
Suppose 2*z + 10 = 6*w - 2*w, 40 = 4*w + 4*z. Factor 1/6*d**w - 2/3*d**4 + 1/3 + 1/3*d**2 - 5/6*d + 2/3*d**3.
(d - 2)*(d - 1)**3*(d + 1)/6
Let w(j) be the first derivative of j**6/14 + 6*j**5/35 - 2*j**3/7 - 3*j**2/14 + 22. Let w(r) = 0. What is r?
-1, 0, 1
Let z(d) = -d**3 + 8*d**2 + 2*d - 9. Let r(s) be the first derivative of 2 + s**2 + 8/3*s**3 - 10*s. Let v(w) = -5*r(w) + 6*z(w). Let v(n) = 0. Calculate n.
-2/3, 1
Suppose 0*z = 4*z. Let i(d) be the third derivative of -d**2 + 1/60*d**5 + 1/12*d**4 + 0 + z*d + 0*d**3. Factor i(h).
h*(h + 2)
Factor 2*c**3 + 2/3*c**2 - 2*c - 2/3.
2*(c - 1)*(c + 1)*(3*c + 1)/3
Let f(x) = -x**3 - 6*x**2 + 5*x - 10. Let q be f(-7). Suppose -q*r + 10 = r. Factor -4/7*g**r + 0*g - 8/7*g**4 + 0 + 2/7*g**5 + 10/7*g**3.
2*g**2*(g - 2)*(g - 1)**2/7
Let s = -10 - -14. Let y(t) be the third derivative of 0 - 1/18*t**3 + 1/360*t**6 + 2*t**2 - 1/60*t**5 + 0*t + 1/24*t**s. Determine j, given that y(j) = 0.
1
Let s = 629/12 + -152/3. Let -1/2*i**3 - 3/4*i**5 - 1/4 + 5/4*i + s*i**4 - 3/2*i**2 = 0. Calculate i.
-1, 1/3, 1
Let t be 0 - (1 - (3 - -1)). Let p(f) be the second derivative of -8/45*f**6 - 16/63*f**7 - f + 0*f**2 - 1/18*f**4 + 7/30*f**5 + 0*f**t + 0. Solve p(w) = 0.
-1, 0, 1/4
Let f be ((-4)/10)/((-1)/15). Suppose 4*m = 2 + 6. Suppose -f*a**3 - 2*a - 6*a**m + 3*a**4 - 5*a**4 + 0*a = 0. Calculate a.
-1, 0
Let o(d) = d - 12. Let i be o(13). Factor i + 3*h + 3 + 2 - 3*h**2.
-3*(h - 2)*(h + 1)
Let n(d) be the second derivative of 4*d**6/45 + 7*d**5/30 + d**4/9 - d**3/9 - 3*d + 6. Factor n(m).
2*m*(m + 1)**2*(4*m - 1)/3
Let p(s) be the third derivative of 1/330*s**5 + 0*s + 0*s**3 + 0*s**4 + 0 + 5*s**2 + 1/660*s**6. Solve p(a) = 0 for a.
-1, 0
Suppose 247 - 255 = -4*r. Factor 1/3*g + 2/3*g**r + 1/3*g**3 + 0.
g*(g + 1)**2/3
Let z(c) be the third derivative of -c**10/181440 - c**4/6 + 5*c**2. Let r(o) be the second derivative of z(o). Suppose r(t) = 0. Calculate t.
0
Let d be (-18)/(-3 + 9) + 3. Factor d + 0*j - 3/2*j**2 - 1/2*j**3.
-j**2*(j + 3)/2
Let z(g) be the second derivative of 4*g - 2/15*g**6 - 1/3*g**3 + 0*g**2 + 0 + 1/10*g**5 + 1/3*g**4. Determine k, given that z(k) = 0.
-1, 0, 1/2, 1
Let g(l) be the first derivative of 0*l + 0*l**3 - l**2 + 1 - 1/96*l**4 - 1/240*l**5. Let k(s) be the second derivative of g(s). Factor k(r).
-r*(r + 1)/4
Let c(s) = -s**2 + 2*s - 5. Let o(a) = a + 1. Let f(x) = x + 1. Let p(l) = 4*f(l) - 3*o(l). Let q(y) = -c(y) - 2*p(y). Let q(z) = 0. What is z?
1, 3
Suppose -4*l - 240 = w, -2*w + 20 = 3*w. Let z = l + 185/3. Determine k, given that -z - 2/3*k**2 - 4/3*k = 0.
-1
Suppose -2*t + 3*t + 2*l = 1, 5*l = -5. Let d(s) = s**3 + 8*s**2 - 11*s - 3. Let i(k) = k**3 + 16*k**2 - 21*k - 5. Let v(x) = t*i(x) - 5*d(x). Factor v(n).
-2*n*(n - 2)**2
Suppose -4*t + 0 = -8. Factor 7*d + 8 - 3*d**2 - t*d - 2*d - 2.
-3*(d - 2)*(d + 1)
Let g(l) be the third derivative of -1/180*l**6 + 0*l + 1/90*l**5 - 1/315*l**7 + 1/36*l**4 + 0*l**3 + 0 - 4*l**2. Factor g(r).
-2*r*(r - 1)*(r + 1)**2/3
Let h(j) = j**3 + 15*j**2 - 2*j - 19. Let v be h(-15). Factor v*u**4 - 4*u**3 - 6*u**4 + 3*u**4.
4*u**3*(2*u - 1)
Suppose 0 - 3/7*t + 1/7*t**2 = 0. What is t?
0, 3
Let c(v) be the second derivative of 2*v**7/21 + v**6/30 - v**5/5 - v**4/12 - 2*v. Determine d, given that c(d) = 0.
-1, -1/4, 0, 1
Let r(o) be the second derivative of o**6/15 + o**5/5 - o**4/6 - 2*o**3/3 + 2*o. Factor r(n).
2*n*(n - 1)*(n + 1)*(n + 2)
Let a = -293 + 297. Factor -1/2*l**a + 0*l**2 - 1/2*l**3 + 0*l + 0.
-l**3*(l + 1)/2
Let g(o) = -8*o**3 + 4*o**2 - 8*o + 6. Let i(d) = 7*d**3 - 4*d**2 + 7*d - 5. Let b(s) = -5*g(s) - 6*i(s). Suppose b(p) = 0. What is p?
0, 1
Let p(g) = 5*g**2 + 8*g - 1. Let u(d) = -d**2 - d. Let b = -6 + 5. Let w(a) = b*p(a) - 6*u(a). Factor w(m).
(m - 1)**2
Factor -4/3*i**2 + 2 + 1/3*i + 1/3*i**3.
(i - 3)*(i - 2)*(i + 1)/3
Suppose g = -3*g. Suppose 2*i = -4*r + 2*r + 8, 5*r = -4*i + 20. Factor g*f**2 + 5/3*f - 10/3*f**3 + 10/3*f**r - f**5 - 2/3.
-(f - 1)**4*(3*f + 2)/3
Suppose 0 = u - 4*v + 13, -4*u - 2 = -v - 10. Solve -2/5*t**2 + 2/5 - 2/5*t + 2/5*t**u = 0 for t.
-1, 1
Let a(r) = r**2 - 2*r - 4. Let f be a(4). Factor q**5 - f*q**2 + q**3 - 4*q**4 - 6*q + 7*q + 5*q**3.
q*(q - 1)**4
Let q(i) be the third derivative of -5*i**8/1008 + i**7/90 + i**6/20 - 7*i**5/45 + i**4/9 + 10*i**2. Determine y so that q(y) = 0.
-2, 0, 2/5, 1, 2
Let a(d) = -42*d**5 + 27*d**4 + 40*d**3 - 30*d**2 + 8*d - 3. Let h(q) = -q**5 + q**4 - q + 1. Let m(z) = a(z) + 3*h(z). Solve m(u) = 0.
-1, 0, 1/3, 1
Let d(b) = 4*b**3 - 4*b + 3. Let w(o) = 1. Let m(q) = d(q) - 3*w(q). Factor m(y).
4*y*(y - 1)*(y + 1)
Factor 0 - 2/9*v - 1/9*v**2.
-v*(v + 2)/9
Let k(c) be the third derivative of c**5/390 - c**3/39 - 7*c**2. Solve k(m) = 0 for m.
-1, 1
Let t(h) = -7*h**2 + 5*h + 2. Let d(v) = -v + 1 + 6*v - 7*v**2 + v**3 + 0*v**3. Let f(p) = -6*d(p) + 4*t(p). Factor f(q).
-2*(q - 1)**2*(3*q - 1)
Let s(l) be the second derivative of -9/4*l**2 + 1/3*l**4 - 5/8*l**3 - 4*l - 3/80*l**5 + 0. Factor s(f).
-(f - 3)**2*(3*f 