e (-6)/l - 8/(-30). What is c in 1/3*c**5 + 0 + 0*c**4 + 0*c**2 - j*c**3 + 1/3*c = 0?
-1, 0, 1
Let x be -2 + -2 - 6/(-3). Let z be (-2 - -3) + x/3. Factor 0 - z*d**2 + 1/3*d.
-d*(d - 1)/3
Let g be (-170)/(-20) + (-1 - 7). Factor 0 - 1/2*f**2 + g*f.
-f*(f - 1)/2
Let s(n) be the third derivative of n**10/30240 + n**9/15120 - n**4/24 + 2*n**2. Let v(d) be the second derivative of s(d). Let v(t) = 0. Calculate t.
-1, 0
Let c(s) be the first derivative of -s**6/360 + s**5/360 + s**4/144 - 7*s**2/2 + 7. Let t(d) be the second derivative of c(d). Determine j, given that t(j) = 0.
-1/2, 0, 1
Let w(z) be the third derivative of 3*z**7/280 + z**6/240 + 17*z**2. Factor w(v).
v**3*(9*v + 2)/4
Let -1/7*q**2 + 0 + 0*q + 2/7*q**3 - 1/7*q**4 = 0. What is q?
0, 1
Let h(u) = -u**2 - u + 8. Let f be h(-5). Let b be ((-6)/9)/(f - -10). What is o in -b*o**2 + 0 + 1/3*o = 0?
0, 1
Let v = -31 - -47. Suppose -v = -5*r + r. Factor 0*s**3 + 1/2*s**2 - 1/2*s**r + 0 + 0*s.
-s**2*(s - 1)*(s + 1)/2
Factor 0 + 8/3*u**3 - 5/3*u**4 - 4/3*u**2 + 0*u + 1/3*u**5.
u**2*(u - 2)**2*(u - 1)/3
Let s be (-75)/20 + (-1)/4. Let l = s - -4. Determine h, given that 2/3*h**3 + l + 0*h - 1/3*h**4 - 1/3*h**2 = 0.
0, 1
Let y be 4/5 - (-10 - -13)/60. Suppose -y*z**3 + 3/4*z**2 - 1/4*z + 1/4*z**4 + 0 = 0. What is z?
0, 1
Let r(z) be the first derivative of -z**3/27 + 4*z/9 + 11. Factor r(q).
-(q - 2)*(q + 2)/9
Let f be (2/(-3))/(10/(-45)). Suppose -15 = -2*z - f*p, 0 = 5*z - 3*p - 2*p. Solve 3*h**5 - 12*h**4 + 54*h**z + 24*h - 61*h**2 - 9*h**4 + h**2 = 0.
0, 1, 2
Let p be 64/28 + 2/(-7). Let z = 6 - 3. Determine i so that 3*i**3 + 0*i**5 - p*i**z - i**5 = 0.
-1, 0, 1
Let -40/9*b**3 + 50/9*b**4 + 0*b + 0 + 8/9*b**2 = 0. What is b?
0, 2/5
Let h(j) be the first derivative of -j**8/5040 - j**7/840 - j**6/360 - j**5/360 - 4*j**3/3 - 3. Let w(g) be the third derivative of h(g). Factor w(a).
-a*(a + 1)**3/3
Let x(y) be the third derivative of y**8/1512 + 2*y**7/945 + y**6/540 + 12*y**2. Factor x(k).
2*k**3*(k + 1)**2/9
Suppose 294 = -4*s + 310. Factor -3*y**3 + 2*y**s + 2*y**2 + 0 - 1/2*y - 1/2*y**5.
-y*(y - 1)**4/2
Let l = 16 + -16. Let m(t) be the third derivative of 1/36*t**4 - 1/180*t**5 - t**2 - 1/18*t**3 + l + 0*t. Factor m(b).
-(b - 1)**2/3
Let t(g) be the third derivative of 4/9*g**3 + 0 + 1/1008*g**8 + 4/315*g**7 + 7/18*g**4 + 19/90*g**5 + 0*g + 5/72*g**6 - 8*g**2. Determine k so that t(k) = 0.
-2, -1
Let s = -954/5 + 192. Factor 0*o + 0 - s*o**3 + 9/5*o**4 - 3/5*o**2.
3*o**2*(o - 1)*(3*o + 1)/5
Let t(o) be the first derivative of -5*o**6/18 - 2*o**5/3 - 5*o**4/12 + 58. Solve t(y) = 0.
-1, 0
Let p(i) be the first derivative of 15*i**4/8 + 50*i**3/3 + 15*i**2 + 25. Find l such that p(l) = 0.
-6, -2/3, 0
Let s(k) be the second derivative of -k**5/25 - 11*k**4/60 + k**3/10 - k + 30. Factor s(w).
-w*(w + 3)*(4*w - 1)/5
Let f be (-2)/8 - (9/12 + -1). Let u(x) be the second derivative of 0*x**3 + f*x**2 - x + 0 + 1/50*x**5 - 1/75*x**6 + 0*x**4. Factor u(o).
-2*o**3*(o - 1)/5
Suppose 0 = -0*q + 2*q - 4. Let k = -3272 - -3275. Factor 0 + 1/2*w**k + 0*w**q - 1/2*w.
w*(w - 1)*(w + 1)/2
Let z be (-12)/(2/(-8)*6). Let f be 19/4 - (-2)/z. Solve 0*a**2 + 2*a + 4*a**2 - 2 + 2*a**f + 0 - 4*a**3 - 2*a**4 = 0.
-1, 1
Suppose 22 = 3*o + 4*i, -2*o - 3*i = -8*i - 53. Suppose -y + 2*y - o = 0. Factor 8*f - y*f**2 - 8/7.
-2*(7*f - 2)**2/7
Let i = 112 - 107. Let h(t) be the third derivative of -109/120*t**i + 3*t**2 + 0 - 7/60*t**7 - 1/3*t**3 - 3/4*t**4 + 0*t - 21/40*t**6. Factor h(n).
-(n + 1)**2*(7*n + 2)**2/2
Let a(l) = -3*l**4 - l**3 + 2*l**2 - 4. Suppose -5*h = -3 + 23. Let m(b) = -5*b**4 - b**3 + 4*b**2 - 7. Let s(q) = h*m(q) + 7*a(q). Factor s(k).
-k**2*(k + 1)*(k + 2)
Let l(m) = 5*m**2 + 5*m + 8. Suppose g + 0*r + 2*r = 10, 3*g + 2*r = 38. Let k(f) = -24*f**2 - 26*f - 40. Let j(d) = g*l(d) + 3*k(d). Factor j(s).
-2*(s + 2)**2
Let w(y) = -y**4 + y - 1. Let v(o) = 2*o**4 + 4*o**3 + o**2 - 7*o + 1. Let k(z) = 5*v(z) + 5*w(z). Find c such that k(c) = 0.
-3, -2, 0, 1
Let m(p) be the second derivative of 64*p**7/189 + 16*p**6/15 + 6*p**5/5 + p**4/2 - 2*p. Factor m(t).
2*t**2*(4*t + 3)**3/9
Let l be (-1)/3*0 + 2. Determine a so that 4*a**3 + a**2 - 2*a**l - 3*a**3 = 0.
0, 1
Let d = 3 + -4. Let o = d - -5. Factor -2*r**4 + 3*r**3 - 8*r**3 + o*r**3 - r**3.
-2*r**3*(r + 1)
Let z(a) = -a**2 - a - 1. Let o(j) = -2*j**4 - 2*j**3 - 3*j**2 - 3*j - 5. Let d(q) = 2*o(q) - 10*z(q). Factor d(x).
-4*x*(x - 1)*(x + 1)**2
Suppose -4*y - 4*o = -2*o - 8, -32 = -4*y + 4*o. Let p(q) be the first derivative of 0*q**2 + 0*q + 1/6*q**3 + 1/10*q**5 + 1/4*q**y + 1. Factor p(j).
j**2*(j + 1)**2/2
Let t be (-4)/(-12)*3 - 4. Let k(v) = v**2 + v - 1. Let p be k(t). Let 1/2*u**4 + 0 - 2*u**p + 5/2*u**2 + 6*u**3 - u = 0. Calculate u.
-1, 0, 1/4, 2
Let a(w) be the second derivative of w**6/135 - w**5/15 + w**4/6 - 13*w. Determine v, given that a(v) = 0.
0, 3
Let x(o) be the third derivative of 1/60*o**6 + 0*o**3 - 1/30*o**5 + 0*o**4 + o**2 + 0*o + 0. Factor x(j).
2*j**2*(j - 1)
Determine o, given that -21/4*o**5 + 0 + 27/4*o**4 + 15/4*o**3 + 3/2*o - 27/4*o**2 = 0.
-1, 0, 2/7, 1
Let a(f) be the second derivative of -f**4/12 - f**3/3 - 5*f. Suppose a(d) = 0. What is d?
-2, 0
Let n(w) be the first derivative of w**8/1680 - w**7/840 - w**6/360 + w**5/120 + w**3/3 - 2. Let y(f) be the third derivative of n(f). Solve y(x) = 0 for x.
-1, 0, 1
Let f(d) = -4*d**4 + 8*d**3 + 10*d**2 - 14*d - 6. Let g(l) = -4*l**4 + 8*l**3 + 9*l**2 - 13*l - 5. Let b(m) = 5*f(m) - 6*g(m). Find j such that b(j) = 0.
-1, 0, 1, 2
Let c(z) = -z**5 + z**4 - z**2 - z. Let o(v) = 6*v**5 - v**4 - 12*v**3 - 9*v**2. Let k(w) = -2*c(w) - o(w). Suppose k(i) = 0. What is i?
-1, -1/4, 0, 2
Suppose 12 + 11 = v. Let g = 8 - 4. Factor -14*c - 5*c**2 + 4 + 0*c**g + 2*c**4 + v*c**2 - 10*c**3.
2*(c - 2)*(c - 1)**3
Solve 0 + 0*b**2 + 4/7*b - 4/7*b**3 = 0.
-1, 0, 1
Let z be 55/20 - (-3)/(-4). Factor 0*l + 0 - 2/7*l**z.
-2*l**2/7
Let a(h) be the first derivative of 6*h**3/5 - 39*h**2/10 + 6*h/5 - 16. Factor a(y).
3*(y - 2)*(6*y - 1)/5
Let w = 121/2 + -60. Suppose -o**2 + w - 1/2*o + o**3 - 1/2*o**5 + 1/2*o**4 = 0. Calculate o.
-1, 1
Let w(s) be the second derivative of 1/60*s**5 - 1/180*s**6 + 1/36*s**4 + 0 + 5*s - 1/252*s**7 - 1/36*s**3 - 1/12*s**2. What is y in w(y) = 0?
-1, 1
Let y be ((-3)/(-18))/(4/8). Factor 1/6*f**2 - 1/2*f + y.
(f - 2)*(f - 1)/6
Let o(y) = -y**3 - 13*y**2 + 25. Let w be o(-12). Let m be ((-4)/(-10))/(w/(-170)). Determine z so that 0 - 2*z**3 + 0*z + m*z**2 = 0.
0, 2/7
Let f(i) be the third derivative of -i**6/540 + i**4/36 - 2*i**3/27 - 12*i**2. Find w, given that f(w) = 0.
-2, 1
Suppose 22 - 1 = 4*y - a, -39 = -5*y - 3*a. Factor 2/3*x**2 + y - 4*x.
2*(x - 3)**2/3
Let r be (-145)/45 + 4/18. Let j(s) = s + 6. Let m be j(r). Factor m - 4 + 14*k - 2*k**2 - 3 - 8*k**2.
-2*(k - 1)*(5*k - 2)
Let a be 14 - 12 - (-7)/(-6). Determine k so that 1/6*k + 0 + 2/3*k**3 - a*k**2 = 0.
0, 1/4, 1
Let c(q) be the third derivative of q**8/1680 + q**7/420 - q**5/60 - q**4/24 + q**3/2 + 2*q**2. Let d(n) be the first derivative of c(n). Solve d(v) = 0 for v.
-1, 1
Let w = 4 + -3. Suppose -1 = -x + w. Factor 3 + 5 - 2*f + 4*f**2 - 6*f - x*f**2.
2*(f - 2)**2
Let l(o) be the second derivative of o**7/21 - 3*o**5/10 + o**4/3 + 7*o. Factor l(n).
2*n**2*(n - 1)**2*(n + 2)
Factor -27/5 + 18/5*n - 3/5*n**2.
-3*(n - 3)**2/5
Let f(b) = 3*b**2 - b**3 + 0*b**2 + 2*b - 2*b**2. Let r be f(2). Factor 6*v**2 - 3*v**2 + r*v**2 - 3*v.
3*v*(v - 1)
Factor 0*w**3 + 0 + 1/7*w**4 - 1/7*w**2 + 0*w.
w**2*(w - 1)*(w + 1)/7
Let i = -700108/79 - -8862. Let y = i + 386/553. Suppose -y*m + 2/7*m**2 + 2/7 = 0. What is m?
1
Let x be (33 + -27)*(-2)/(-4). Let l(h) be the second derivative of 0*h**x + h + 1/2*h**2 + 0 - 1/12*h**4. Suppose l(u) = 0. Calculate u.
-1, 1
Let y(i) = i**4 - i**2 - i - 1. Let p(t) = t**4 - 8*t**3 - 11*t**2 - 3*t - 3. Let d(j) = -p(j) + 3*y(j). Factor d(u).
2*u**2*(u + 2)**2
Let i(w) be the second derivative of -1/5*w**3 - 1/50*w**5 - 1/10*w**4 + 0 - 1/5*w**2 + 3*w. Factor i(h).
-2*(h + 1)**3/5
Let a = -411 - -266. Let u be (a/9)/(-5) + -3. Let 0 - u*x**2 + 0*x = 0. Calculate x.
0
Find j such that -1/2*j + 0 + 1/2*j**2 = 0.
0, 1
Let q(t) = t + 2. Let c be q(4). Solve 22/3*u**4 + 2/3*u**2 + 0 + 8/3*