0*g = 0. What is g?
-1, 0, 1
Let x(i) = i**3 + 2*i**2 - 4*i - 3. Let z be x(-3). Let o = z - 0. Let 2/3*q**2 + 2/3*q**3 + o - 2/3*q**4 - 2/3*q = 0. Calculate q.
-1, 0, 1
Suppose 12 = 4*g - 12. Suppose 0 = 8*n - g*n - 52. Suppose 27*f - 2*f**2 - n*f + f**2 = 0. What is f?
0, 1
Find j such that -3/7*j**2 + 0 + 30/7*j = 0.
0, 10
Let t = 43 + -8. Suppose -2*b + 5 = 3*i + 1, -5*b + 5*i + t = 0. What is a in 2*a + 8*a**2 + a**5 + 12*a**3 - 5*a**4 + 13*a**4 + a**b = 0?
-1, 0
Let k(a) be the first derivative of -a**4/3 + 2*a**3/3 - 7*a + 5. Let s(q) be the first derivative of k(q). Solve s(j) = 0 for j.
0, 1
Let a be 28*(9/(-4))/(-3). Let p be (12/a)/((-2)/(-7)). Solve 0*u**2 - 4*u**2 + u**2 + 2 + u**p = 0 for u.
-1, 1
Let z(k) be the second derivative of -k**4/16 - k**3/4 + 24*k. Factor z(c).
-3*c*(c + 2)/4
Let d(a) be the first derivative of 7*a**4/4 + 71*a**3/12 + 4*a**2 + a - 2. Suppose d(o) = 0. What is o?
-2, -2/7, -1/4
Let b = 0 - -2/3. Let f be (-5 + 12 + -7)/(-1). Factor f - b*d**3 + 2/3*d**2 - 2/9*d + 2/9*d**4.
2*d*(d - 1)**3/9
Let v(s) be the first derivative of 6*s**5/5 - 11*s**4/2 + 10*s**3 - 9*s**2 + 4*s - 5. Factor v(m).
2*(m - 1)**3*(3*m - 2)
Suppose 5*a = -2*k + 19, 6 = 2*k + 2. Suppose 35 = 5*f - 3*i, -7 - 8 = a*i. Factor -4*w**3 + 7/3*w**f + w**2 + 2/3*w + 0.
w*(w - 1)**2*(7*w + 2)/3
Let x = 429/4 + -107. Factor 0 + 3/4*y**2 + 3/4*y**3 + 1/4*y + x*y**4.
y*(y + 1)**3/4
Let t(f) = -f**3 + 4*f**2 - f - 4. Let x be t(3). Factor 16*u**x - u - 14*u**2 - u.
2*u*(u - 1)
Let z(r) = -r**2 + 7*r + 10. Let k be z(8). Let h = k + -2. Factor 1/4*s**5 - 1/2*s**4 + 1/2*s**2 - 1/4*s + 0*s**3 + h.
s*(s - 1)**3*(s + 1)/4
Let t(p) be the second derivative of p**4/8 + p**3/4 - 2*p. Factor t(r).
3*r*(r + 1)/2
Let o(h) be the third derivative of -h**7/840 + 3*h**2. Factor o(q).
-q**4/4
Let w(j) = -j**3 + 1. Let t(i) = -4*i**3 - 21*i**2 - 16*i - 9. Let q(g) = t(g) + 5*w(g). Factor q(m).
-(m + 1)*(3*m + 2)**2
Let n(i) be the third derivative of -i**6/240 + i**5/120 - 6*i**2. Factor n(x).
-x**2*(x - 1)/2
Let a = 103 - 1029/10. Let l(m) be the third derivative of 2*m**2 - 1/3*m**3 + 0 + a*m**5 + 1/6*m**4 + 0*m. Determine s so that l(s) = 0.
-1, 1/3
What is f in -8*f - f**4 - 12*f**3 + 2*f + 15*f**2 + 4*f**4 = 0?
0, 1, 2
Let p(c) be the second derivative of 5*c**4/12 - 5*c**3/2 - 13*c. Factor p(x).
5*x*(x - 3)
Let a = 40 + -36. Factor 0*n - 98/5*n**a + 0 - 8/5*n**2 + 56/5*n**3.
-2*n**2*(7*n - 2)**2/5
Let i(d) be the first derivative of 2/7*d**3 + 2/7*d**2 - 1/7*d**4 - 6/35*d**5 - 1 + 0*d. Solve i(o) = 0.
-1, -2/3, 0, 1
Let z = 10 + -13. Let p = -1 - z. Let -1/3*x + 0 - 1/3*x**p = 0. What is x?
-1, 0
Suppose -2*y - x - 10 = 3*y, -2*y + 18 = -4*x. Let h = y + 3. Solve 2*r**5 + 1 - 1 + 4*r**4 + h*r**3 = 0.
-1, 0
Let h(d) = d**3 + 8*d**2 + 13*d + 8. Let z be h(-6). Factor 0*j + 2/7*j**z - 2/7.
2*(j - 1)*(j + 1)/7
Let y = -3 - -2. Suppose -4*x + 0*x + 20 = 0. Let s(c) = c**2 - c + 4. Let j(g) = -g. Let p(u) = x*j(u) + y*s(u). Solve p(w) = 0 for w.
-2
Let x(f) = f**3 + 8*f**2 + 6*f - 1. Let s be x(-7). Suppose -4*g + s = -g. Find o such that -2*o**2 + o - 2*o - 3*o - g = 0.
-1
Let x(z) be the first derivative of z**5/180 - z**4/72 - z**3/9 + 3*z**2/2 - 4. Let s(l) be the second derivative of x(l). Determine o, given that s(o) = 0.
-1, 2
Solve -5*c**2 - 7 - 15*c - 1 - 2 = 0.
-2, -1
Let b(g) be the second derivative of -g**8/13440 + g**6/1440 + g**4/4 - 5*g. Let l(k) be the third derivative of b(k). Factor l(x).
-x*(x - 1)*(x + 1)/2
Suppose -20 = -2*y + 4*s, -y - 25 = 4*y + 5*s. Let k be (y - 0) + (-4 - -6). Determine i so that 2 - 2*i**k - 2 = 0.
0
Let q(z) = 7*z - 243. Let j be q(35). Find v such that v + 5/6*v**j + 1/6 - 2*v**3 = 0.
-1/3, -1/4, 1
Let h(i) = 2*i**2 - 2*i - 1. Let c be h(2). Let v be ((3 - c)/4)/(-2). Factor 2/3*l**5 + 0*l**4 + 0 + 0*l + v*l**2 - 2/3*l**3.
2*l**3*(l - 1)*(l + 1)/3
Let c(a) be the second derivative of a**4/108 - a**3/18 - 40*a + 1. What is i in c(i) = 0?
0, 3
Let y(o) be the second derivative of o**7/8820 + o**6/1260 + o**5/420 + 5*o**4/12 + 2*o. Let j(u) be the third derivative of y(u). Suppose j(p) = 0. What is p?
-1
Let z(u) be the first derivative of 0*u**2 + 5/4*u**5 - 10 + 1/12*u**3 - 5/8*u**4 + 0*u. Factor z(f).
f**2*(5*f - 1)**2/4
Let w(r) be the third derivative of -r**7/105 + r**6/10 - 13*r**5/30 + r**4 - 4*r**3/3 + 33*r**2. Suppose w(f) = 0. Calculate f.
1, 2
Let r(v) be the third derivative of 0*v + 0 - 1/2*v**3 - 4*v**2 - 1/60*v**5 + 1/6*v**4. Factor r(t).
-(t - 3)*(t - 1)
Let h = -67/9 + 23/3. Solve 0 - 2/3*k**3 + h*k**4 + 8/9*k + 0*k**2 = 0 for k.
-1, 0, 2
Let r(c) be the third derivative of c**6/960 - c**5/160 + c**4/64 - 2*c**3/3 - 3*c**2. Let n(k) be the first derivative of r(k). Factor n(j).
3*(j - 1)**2/8
Determine a, given that -14/5*a**5 - 11/5*a**3 + 13/5*a**2 - 2/5 + a - 31/5*a**4 = 0.
-1, 2/7, 1/2
Suppose 0*v - 2/5*v**2 + 0 + 3/5*v**5 - 1/5*v**3 + 4/5*v**4 = 0. What is v?
-1, 0, 2/3
Factor -16/11 + 2/11*b**3 + 24/11*b - 12/11*b**2.
2*(b - 2)**3/11
Let g(x) = 4*x**5 + 8*x**4 - 8*x**3 - 10*x**2 + 4*x + 2. Let r(o) = -o**5 + o**2 + o - 1. Let k(m) = 2*g(m) + 12*r(m). Factor k(t).
-4*(t - 2)*(t - 1)**3*(t + 1)
Let g(x) be the third derivative of -x**6/200 + x**5/100 + 5*x**2. Factor g(v).
-3*v**2*(v - 1)/5
Let x = 1627/42 - 229/6. Suppose 2/7*n + 2/7*n**2 - x = 0. What is n?
-2, 1
Suppose l + 80 = -3*l. Let f be l/(-36)*(-4)/(-10). Factor -2/9*h**4 + 4/9*h**3 - f*h + 4/9*h**2 - 2/9*h**5 - 2/9.
-2*(h - 1)**2*(h + 1)**3/9
Let c = 54 - 51. Let z(l) be the second derivative of 1/22*l**4 + 1/11*l**2 + 5*l - 1/11*l**c - 1/110*l**5 + 0. Factor z(f).
-2*(f - 1)**3/11
Let d be 12/(-16) + (-21)/(-12). Solve -3 + 2*n**2 - d + n**2 - n**3 = 0 for n.
-1, 2
Let m(j) be the third derivative of j**8/448 + j**7/140 + j**6/160 + 5*j**2. Factor m(w).
3*w**3*(w + 1)**2/4
Suppose -5*m - b = 1, m - 2 = 2*b - 0. Let r(k) be the first derivative of m*k**2 + 2/15*k**5 + 2 + 0*k - 4/9*k**3 - 1/6*k**4. Suppose r(y) = 0. What is y?
-1, 0, 2
Let p = -8 - -13. Let b be (-36)/(-27)*3/2. Factor 0*c - b*c**2 - p*c**3 + 0*c.
-c**2*(5*c + 2)
Let m(a) be the third derivative of a**7/315 - a**6/60 + a**5/45 + 3*a**2. Find j, given that m(j) = 0.
0, 1, 2
Suppose 0*o - 3*o + 9 = 0. Find z, given that -4*z**3 + z**o - z + 3*z**3 - 1 + z**2 + z**3 = 0.
-1, 1
Let o(h) be the first derivative of 4*h**5/5 - 4*h**3/3 + 7. Factor o(f).
4*f**2*(f - 1)*(f + 1)
Factor -2/5*d**3 + 0*d + 0 - 4/5*d**2.
-2*d**2*(d + 2)/5
Let n(d) be the second derivative of -d**8/5040 - d**7/2520 + d**3/3 - 7*d. Let h(b) be the second derivative of n(b). Factor h(q).
-q**3*(q + 1)/3
Let y be 3/(-2) + (-162)/(-36). Let j(d) be the first derivative of -7/6*d**4 + 0*d + 3 - 10/9*d**y + 2/3*d**2. Factor j(u).
-2*u*(u + 1)*(7*u - 2)/3
What is p in 2/9*p**4 - 2/9*p**2 + 0 + 0*p + 0*p**3 = 0?
-1, 0, 1
Let f(k) = 2*k**2. Let v(w) = -w**3 + w**2 - 1. Let m be v(1). Let n be f(m). Determine g, given that -g**3 - 1/4*g**4 - g - 1/4 - 3/2*g**n = 0.
-1
Let o(k) = -140*k**2 + 128*k + 45. Let m(d) = -420*d**2 + 384*d + 136. Let a(b) = 3*m(b) - 8*o(b). Solve a(x) = 0 for x.
-2/7, 6/5
Let x(u) = u**2 + u - 7. Let i be x(3). Let v be -3 + 3 + i + -3. Factor 2/9*q**4 + 0 + 2/3*q**v + 2/3*q**3 + 2/9*q.
2*q*(q + 1)**3/9
Solve 4/9*g**4 + 2/9*g**5 + 0*g + 0*g**2 + 0 + 0*g**3 = 0.
-2, 0
Let c = -17/5 + 69/20. Let f(n) be the second derivative of 2*n + 0 + 1/20*n**6 + 1/4*n**2 - c*n**5 + 1/42*n**7 - 1/6*n**4 + 0*n**3. Let f(v) = 0. What is v?
-1, 1/2, 1
Let d(t) = 9*t**2 + 10*t + 4. Let l(v) = 26*v**2 + 30*v + 11. Let k(p) = -11*d(p) + 4*l(p). Factor k(u).
5*u*(u + 2)
Let n = 13 - 19. Let h = n + 10. Let 1/5*t**2 + 0 - 2/5*t + 29/5*t**3 - 28/5*t**h = 0. Calculate t.
-1/4, 0, 2/7, 1
Let x(m) be the third derivative of m**7/490 - 3*m**6/280 + m**5/140 + 3*m**4/56 - m**3/7 + 50*m**2. Factor x(y).
3*(y - 2)*(y - 1)**2*(y + 1)/7
Let c(j) be the first derivative of -5/7*j**2 - 3 + 4/7*j + 8/21*j**3 - 1/14*j**4. Determine u, given that c(u) = 0.
1, 2
Factor 2*q**2 - 3*q - q**3 + 2*q**3 - 2*q**3 - 2 + 4*q.
-(q - 2)*(q - 1)*(q + 1)
Let p(l) = -l**3 + 13*l**2 + 2. Let f be (-1)/(-4) - 102/(-8). Let x be p(f). Factor -2/7 - 4/7*w - 2/7*w**x.
-2*(w + 1)**2/7
Determine w, given that 4 + 0*w**3 - 29*w**3 - 8*w**2 + 