3*r**3 = 0. What is r?
-1, -2/9, 0
Let c(z) be the third derivative of 0*z**5 + 0 - 1/560*z**8 + 0*z**7 + 0*z**3 - 3*z**2 - 1/40*z**4 + 1/100*z**6 + 0*z. Find w such that c(w) = 0.
-1, 0, 1
Factor 24/5*k + 0 - 22/15*k**3 - 2/15*k**4 - 16/5*k**2.
-2*k*(k - 1)*(k + 6)**2/15
Let q be (-12)/(-6) + 14/2. Let c be ((-6)/q)/((-2)/21). Factor -p**2 + 0*p**3 + 7*p - c*p - p**4 - 2*p**3.
-p**2*(p + 1)**2
Suppose 80 = 3*v - 3*f - f, -2*f = -2*v + 50. Let d = v - 20. Factor 3/4*p**3 - 1/2*p + d - 1/4*p**2.
p*(p - 1)*(3*p + 2)/4
Suppose 4*y - 3 = 17. Let -2*m - y*m**2 + m**4 - 2*m**2 + m**2 + 5*m**2 + 2*m**3 = 0. Calculate m.
-2, -1, 0, 1
Let x(h) = 92*h**4 + 77*h**3 - 63*h**2 - 60*h + 5. Let y(u) = -31*u**4 - 26*u**3 + 21*u**2 + 20*u - 2. Let a(k) = 6*x(k) + 17*y(k). Factor a(r).
(r - 1)*(r + 1)*(5*r + 2)**2
Let a be -11 + 10 - 15/(-12). Let o(j) be the second derivative of -2*j + 0 + 0*j**3 + 1/24*j**4 - a*j**2. Factor o(y).
(y - 1)*(y + 1)/2
Let k be 9/(-2) - (-6)/4. Let u be k/(-5) - (-12)/(-45). Suppose 0*i + 0 + u*i**3 + 2/3*i**2 = 0. What is i?
-2, 0
Let z(a) be the third derivative of -a**7/420 + a**5/60 - a**3/12 - 6*a**2. Factor z(g).
-(g - 1)**2*(g + 1)**2/2
Let c(z) = -z**5 - 3*z**4 - 3*z**3 - z**2 - 3*z. Let i(f) = 2*f**5 + 6*f**4 + 6*f**3 + 2*f**2 + 7*f. Let d(g) = 14*c(g) + 6*i(g). What is u in d(u) = 0?
-1, 0
Let r(z) = z. Let t be r(2). Suppose 0 = -3*v + 7*v. Let v*m**4 + 0*m**t + 6*m**4 + 4*m**5 - 2*m**2 = 0. What is m?
-1, 0, 1/2
Suppose 0 = -2*z - z + 3. Determine w, given that 2*w**4 + 2*w**2 - 4*w**3 - 6*w**2 - w**5 + z + 2*w + 3*w**5 + 1 = 0.
-1, 1
Let p = 0 + 4. Find f such that 13*f**4 - 10*f**3 + 2*f**2 - 10*f**4 + 6*f**5 + 11*f**p - 12*f**5 = 0.
0, 1/3, 1
Let v(k) be the second derivative of k**7/7 - k**6/15 - k**5/6 - k**4/18 - 2*k. What is z in v(z) = 0?
-1/3, 0, 1
Solve 9 - 9 + 5*h**2 + 15*h = 0 for h.
-3, 0
Let a(k) be the second derivative of k**8/3360 + k**7/315 + k**6/72 + k**5/30 + k**4/6 - 2*k. Let f(x) be the third derivative of a(x). Let f(p) = 0. What is p?
-2, -1
Let u = 133 + -131. Suppose -2/3*i**4 - 2/3*i**3 + 0*i + 0 + 0*i**u = 0. What is i?
-1, 0
Let z(j) = -3*j + 6. Let r(k) = -10*k + 19. Let g(h) = 2*r(h) - 7*z(h). Let s be g(4). Factor -2*q**3 + 9*q**2 - 2*q - 4*q**3 - q**3 + s*q**3.
-q*(q - 1)*(7*q - 2)
Let n(t) be the first derivative of -t**5/20 - t**4/6 + 2*t**3/3 - t**2 - 2. Let x(j) be the second derivative of n(j). Factor x(f).
-(f + 2)*(3*f - 2)
Suppose 2/7*t**2 - 2/7*t**3 + 0 + 2/7*t - 2/7*t**4 = 0. What is t?
-1, 0, 1
Let x(l) be the first derivative of 2*l**4 + 8*l**3 + 1/5*l**5 - 6 + 16*l + 16*l**2. Solve x(r) = 0.
-2
Let 16/3*s + 4/3*s**2 + 16/3 = 0. Calculate s.
-2
Suppose -3*m = l + 9, -5*m + 4*l - 1 = 31. Let j(i) = 0*i**2 - i**2 - 4*i**2 - 4. Let w(k) = k**2 - k. Let d(u) = m*w(u) - j(u). Find s such that d(s) = 0.
-2
Suppose -8 = -117*c + 115*c. Find s such that 0*s + 0 + 1/2*s**c + s**3 + 1/2*s**2 = 0.
-1, 0
Determine j so that -15/7*j**3 - 18/7*j**2 + 12/7*j - 3/7*j**4 + 24/7 = 0.
-2, 1
Let t be (-3)/(-5) - (-322)/(-245). Let h = -11/35 - t. Factor 0 + 0*r + h*r**2.
2*r**2/5
Suppose -12 = -3*v + n, 0 = -21*v + 18*v - 2*n + 3. Factor 8/5*z**4 - 12/5*z**v + 8/5*z**2 + 0 - 2/5*z - 2/5*z**5.
-2*z*(z - 1)**4/5
Let f be -4 - -2 - -1 - -2 - -3. Let q(u) be the first derivative of -4*u + f*u**2 - 1 + 1/4*u**4 - 5/3*u**3. Let q(g) = 0. Calculate g.
1, 2
Let x(s) be the second derivative of s**7/168 - s**6/30 + 3*s**5/40 - s**4/12 + s**3/24 + 6*s. Find k, given that x(k) = 0.
0, 1
Let j = 36 - 36. Factor j - 2/9*l**2 + 2/9*l.
-2*l*(l - 1)/9
Factor 0*n + 3/4 - 3/4*n**2.
-3*(n - 1)*(n + 1)/4
Let b(m) be the third derivative of m**7/420 - m**5/60 + m**3/6 - 2*m**2. Let g(a) be the first derivative of b(a). Factor g(k).
2*k*(k - 1)*(k + 1)
Let j(f) = 5*f - 8. Let n be j(2). Let o(x) be the second derivative of -1/20*x**5 + 1/12*x**4 + 1/3*x**3 + 0*x**n + 3*x + 0. Factor o(m).
-m*(m - 2)*(m + 1)
Suppose 4*j + 4*s - 24 = 0, -5*j - s + 3*s + 2 = 0. Factor -13*l - 3*l**2 + 0*l**j + 2*l**2 - 4 + 17*l.
-(l - 2)**2
Suppose l - 36 = -5*l. Let w be 21/l + (-7 - -4). Suppose 0 + 1/2*v**5 - w*v**2 + 0*v + 1/2*v**4 - 1/2*v**3 = 0. What is v?
-1, 0, 1
Let w be (-3 - -7) + 1 + -1. Suppose 4 = w*q - 3*j, -5*j - 8 = -5*q - 2*j. Factor 2/3*y**q - 4/3*y**2 + 0*y**3 + 0*y + 2/3.
2*(y - 1)**2*(y + 1)**2/3
Let s = 4/109 + 634/545. Factor 0 - 2/5*d + s*d**2.
2*d*(3*d - 1)/5
Suppose -2*o - 9 = -8*j + 3*j, 0 = 5*o - 3*j - 6. Factor -10*v**2 + 9*v**2 + 2*v**o - 27*v - 5*v**3 - 17*v**2.
-3*v*(v + 3)**2
Let y(x) = x**2 - 11*x + 15. Let j be y(12). Factor -3*a**3 + j*a**4 + a**3 + 2*a - 21*a**4 + 4 + 0*a - 10*a**2.
2*(a - 1)**2*(a + 1)*(3*a + 2)
Let u be -22 + 21 + (-58)/(-54). Let x(r) be the second derivative of 0*r**2 + 0 + 1/54*r**4 - 3*r + u*r**3. Find y, given that x(y) = 0.
-2, 0
Let m(j) = j**3 - 8*j**2 - 9*j + 2. Let g be m(9). Factor -n + 3*n + 2*n - 3*n**g - n**2.
-4*n*(n - 1)
Let f be 6 + -3 + 8/2. What is w in 3*w**2 + w + 2*w**3 + w**3 - 6*w**2 - f*w = 0?
-1, 0, 2
Suppose 3*v - 14 = 5*u, 3*v = v - u + 5. Determine n, given that -3*n**v - 5*n**2 + 0*n**3 - 2*n + n**2 + n**3 = 0.
-1, 0
Let x = -87 - -87. Let g(y) = y**3 - 5*y**2 + 6*y - 5. Let l be g(4). Determine q, given that x - 1/2*q - 1/2*q**l - q**2 = 0.
-1, 0
Let o(d) be the third derivative of -5*d**8/336 - d**7/5 - 53*d**6/60 - 29*d**5/15 - 19*d**4/8 - 5*d**3/3 - 5*d**2. Factor o(q).
-(q + 1)**3*(q + 5)*(5*q + 2)
Suppose 2 = -2*u + 3*u. Factor -2*z**3 - 70*z + u*z**2 + 70*z.
-2*z**2*(z - 1)
Let z(v) be the second derivative of -v + 0 + 0*v**4 + 0*v**3 + 0*v**5 + 1/45*v**6 - 1/63*v**7 + 0*v**2. Solve z(n) = 0 for n.
0, 1
Factor -p - p**5 + 4*p**2 - 2*p**4 + 2*p**3 - 70 + 0*p + 68.
-(p - 1)**2*(p + 1)**2*(p + 2)
Let o(h) be the first derivative of -h**3/12 - 3*h**2/8 - h/2 + 3. Factor o(q).
-(q + 1)*(q + 2)/4
Factor -2*h**4 - 146*h**3 + 278*h**3 - 138*h**3.
-2*h**3*(h + 3)
Suppose 14 = 9*y - 2*y. Find h, given that -6*h + 4*h**2 + 4 - 4*h**y + h**2 + h**2 = 0.
1, 2
Factor -4/5*r + 4/5*r**3 + 0 - 1/5*r**4 + 1/5*r**2.
-r*(r - 4)*(r - 1)*(r + 1)/5
Let u(y) = -y**5 - y**4 - y**3 + 1. Let p(f) = -35*f**5 - 30*f**4 - 20*f**3 - 5*f + 30. Let w(d) = p(d) - 30*u(d). Factor w(g).
-5*g*(g - 1)**2*(g + 1)**2
Suppose o + 2*j + 2 = 0, 0*o + 3*o + j = 19. Let p be (3/(-6))/((-2)/o). Factor 3*c**2 - c**2 + c**4 - 3*c**p.
c**2*(c - 1)*(c + 1)
Suppose -2*x = 5*l + 10, -5*l + 3*l - 23 = -3*x. Let i = l - -4. Find b, given that -1/2*b + i - 1/2*b**2 = 0.
-1, 0
Suppose w - 3*w - 17 = -5*r, 4*r - 17 = 5*w. Factor -r*x**2 + 4 - 31 + 24*x - 6*x.
-3*(x - 3)**2
Let k(u) = -2*u**2 - 27*u - 12. Let o be k(-13). Factor -1/2*l**2 - 3/2*l - o.
-(l + 1)*(l + 2)/2
Let r**2 + 8 + 28*r + 3*r**2 + 8*r**2 = 0. Calculate r.
-2, -1/3
Let o(z) be the third derivative of -z**6/60 + z**5/30 + 5*z**4/12 + z**3 - 4*z**2. What is x in o(x) = 0?
-1, 3
Suppose 2*s = -2*s. Let k(y) be the second derivative of s*y**2 + 0 - 1/12*y**4 + 1/3*y**3 + 3*y. Factor k(z).
-z*(z - 2)
Let z be -1 - 1 - (-3 - 2). Let u(k) be the first derivative of z + k**3 - 1/2*k**2 - 3/4*k**4 + 1/5*k**5 + 0*k. Determine x, given that u(x) = 0.
0, 1
Let s be 2/4 - (-14)/4. Let k be (-2)/(s/(16/(-10))). Determine n so that -18/5*n**3 + k - 32/5*n**2 - 2*n = 0.
-1, 2/9
Let i(k) be the third derivative of -k**2 - 1/330*k**6 + 0*k**7 + 0*k**5 + 1/132*k**4 + 0*k + 1/1848*k**8 + 0*k**3 + 0. Determine g so that i(g) = 0.
-1, 0, 1
Let d be (1*(2 + -4))/(2 + -8). Let i(u) be the first derivative of 3 + 0*u - d*u**2 + 2/9*u**3. Factor i(b).
2*b*(b - 1)/3
Let u(b) = -b**3 - 6*b**2 + 6*b + 1. Let v be u(-7). Factor v + 4*g**2 + g**2 - 2*g**2 - 8*g - g**2.
2*(g - 2)**2
Let b be -4 - -242*4/240. Let n(v) be the third derivative of -b*v**5 - 2/15*v**3 + 0*v - 2*v**2 + 7/60*v**4 + 0. Factor n(s).
-2*(s - 1)*(5*s - 2)/5
Let i(q) be the third derivative of -q**6/180 - q**5/30 + q**4/9 + 4*q**3/3 + 64*q**2. Solve i(o) = 0.
-3, -2, 2
Let n(d) be the first derivative of 32/15*d**3 + 8/5*d**2 + 2/5*d + 2. Factor n(y).
2*(4*y + 1)**2/5
Suppose -6/5*q**2 - 2/5*q + 4/5 = 0. Calculate q.
-1, 2/3
Factor -3*c**4 + 8 + 9 - 17 + c**2 - 2*c**3.
-c**2*(c + 1)*(3*c - 1)
Let b(x) be the third derivative of x**8/112 + 2*x**7/105 - x**6/120 - x**5/30 + 21*x**2. Fact