t j(c) be the second derivative of 7*c**6/45 + 23*c**5/30 + 10*c**4/9 + 4*c**3/9 + 14*c. Let j(v) = 0. What is v?
-2, -1, -2/7, 0
Find h such that 0 + 1/6*h - 5/6*h**3 + 1/6*h**2 + 1/2*h**4 = 0.
-1/3, 0, 1
Suppose -2 = -z + 1. Determine c so that -c - 12*c**2 - 10*c**3 - 3*c**2 - z*c + c**2 = 0.
-1, -2/5, 0
Let q = 579 + -579. Let q*l**3 + 0*l - 3/4*l**5 + 0*l**2 + 3/4*l**4 + 0 = 0. What is l?
0, 1
Factor 6*w + 11*w + 75 + 3*w**2 + 4*w + 9*w.
3*(w + 5)**2
Suppose -21/5*v + 21/5*v**3 - 6/5 + 6/5*v**2 = 0. What is v?
-1, -2/7, 1
Let f be (-14 - -12)*2/4. Let d be (3 - (-3)/f)*-1. Factor 2/5*n**2 + d - 4/5*n.
2*n*(n - 2)/5
Let n be (30/(-9))/5 - 22/(-30). Let s(i) be the second derivative of 1/5*i**2 - 1/5*i**5 - 3*i + n*i**6 + 1/3*i**4 - 1/3*i**3 + 0 - 1/105*i**7. Factor s(o).
-2*(o - 1)**5/5
Let f be (10 + -9)*(-2)/4*-1. Determine j, given that -1/2*j - f*j**3 + 7/4*j**2 - 3/4 = 0.
-1/2, 1, 3
Let g(f) = -24*f**5 + 201*f**4 - 264*f**3 + 120*f**2 + 33*f. Let p(m) = 3*m**5 - 25*m**4 + 33*m**3 - 15*m**2 - 4*m. Let a(h) = -4*g(h) - 33*p(h). Factor a(i).
-3*i**2*(i - 5)*(i - 1)**2
Let p(u) be the second derivative of -u**4/12 - 5*u**3/6 - 14*u. Factor p(z).
-z*(z + 5)
Let n = -349/9 - -39. Factor 0*i + 10/9*i**4 + 2/3*i**5 + 0 + 2/9*i**3 - n*i**2.
2*i**2*(i + 1)**2*(3*i - 1)/9
Find t, given that -1/6*t**2 - 1/3*t**3 + 0*t + 0 = 0.
-1/2, 0
Let n(d) be the second derivative of d**7/231 - 2*d**6/165 + d**5/110 - 11*d. Factor n(v).
2*v**3*(v - 1)**2/11
Suppose -3*c = -2*q, -4*q + 2*c = -3*c - 2. Suppose 11 = p - 5*g, -2*g = q*p - 5*g - 9. Factor 3*j**3 + 0 - 12*j**2 - p + 15*j - 5.
3*(j - 2)*(j - 1)**2
Let z(b) be the third derivative of 3*b**7/140 + 11*b**6/240 - 2*b**5/15 - b**4/12 - b**2. Factor z(y).
y*(y - 1)*(y + 2)*(9*y + 2)/2
Let o(a) be the third derivative of a**6/60 + a**5/15 - a**4/12 - 2*a**3/3 + a**2. Factor o(d).
2*(d - 1)*(d + 1)*(d + 2)
Factor 0 + 0*x**3 + 0*x - 1/2*x**2 + 1/2*x**4.
x**2*(x - 1)*(x + 1)/2
Let m(v) be the third derivative of 27*v**8/448 + 3*v**7/56 - 113*v**6/480 - 41*v**5/240 + v**4/3 - v**3/6 - 3*v**2. Determine w, given that m(w) = 0.
-1, 2/9, 1
What is c in 0 + 0*c**3 + 6/7*c**2 - 2/7*c**4 - 4/7*c = 0?
-2, 0, 1
Let p(i) be the second derivative of i**5/70 + i**4/21 - i**3/21 - 2*i**2/7 + 8*i. Let p(n) = 0. Calculate n.
-2, -1, 1
Let i = -2/3 + 7/6. Factor 1/4 - 1/4*o**4 + 1/2*o**3 + 0*o**2 - i*o.
-(o - 1)**3*(o + 1)/4
Let r(l) be the second derivative of l**6/300 + l**5/50 + l**4/40 - l**3/15 - l**2/5 + 16*l. Let r(j) = 0. Calculate j.
-2, -1, 1
Let u be ((-54)/(-8))/((-1)/4). Let p = u + 83/3. Factor 2/3*y - 4/3*y**3 + 2/3*y**5 - 4/3*y**2 + 2/3*y**4 + p.
2*(y - 1)**2*(y + 1)**3/3
Let o(u) be the third derivative of 1/84*u**4 + 0 - u**2 + 0*u - 1/210*u**5 + 0*u**3. Let o(m) = 0. What is m?
0, 1
Let c(k) = k**4 + k**3 - k**2 - 1. Let h(d) = -5*d**4 + 3*d**3 + 9*d**2 - 2*d - 5. Let i(m) = 2*c(m) - 2*h(m). Let i(f) = 0. Calculate f.
-1, -2/3, 1
Let c(o) be the second derivative of o**5/270 - o**4/18 + o**3/3 - 2*o**2 - 2*o. Let z(q) be the first derivative of c(q). What is l in z(l) = 0?
3
Find x such that 1/3*x**4 + 1/6*x**5 - 1/3*x**2 + 0 - 1/6*x + 0*x**3 = 0.
-1, 0, 1
Suppose 15 = 4*u + 3. Solve 0*c - 2*c**3 - 1 - u*c - 3*c**2 + c**3 = 0.
-1
Let n be ((-10)/(-18))/((-175)/(-210)). Determine x so that 2*x**3 + 0 - n*x**4 - 2*x**2 + 2/3*x = 0.
0, 1
Let d(n) be the first derivative of 2/15*n**3 - 4 + 0*n + 3/5*n**2. Find y, given that d(y) = 0.
-3, 0
Suppose -5*a = -3*q + 48, 0*a - 4*a + 5*q = 41. Let z be a/(-36)*4/2. Solve 1/4*g + 1/4*g**3 - z*g**2 + 0 = 0.
0, 1
Let a(c) = -1. Let b(h) = h**2 - 1. Let o(d) = -2*a(d) - b(d). Let g be o(0). Determine l, given that 0 - 2/3*l**g + 4/3*l**2 - 2/3*l = 0.
0, 1
Let i = -4 + -2. Let d = i - -8. Factor 2/5*n**d + 0 - 2/5*n.
2*n*(n - 1)/5
Let z(s) be the second derivative of 0 + 1/24*s**4 + 0*s**2 - 1/60*s**6 - 1/12*s**3 - 2*s + 1/40*s**5. Determine o so that z(o) = 0.
-1, 0, 1
Solve 0 + 3/5*a**4 - 33/5*a**2 - 12/5*a**3 - 18/5*a = 0 for a.
-1, 0, 6
Suppose -30 = -4*f + 2*f. Let h = f + -13. Factor 0*p + 0 - 1/2*p**4 + 0*p**3 + 1/2*p**h.
-p**2*(p - 1)*(p + 1)/2
Let f be (-24)/100*-5 - 0. Suppose -4*s - 2*b = -16, -3*b + 2*b = -4. Determine h, given that 3/5*h**s + 3/5*h - f = 0.
-2, 1
Let a(o) be the first derivative of 25*o**4/18 - 110*o**3/27 - 56*o**2/9 - 8*o/3 - 12. Factor a(t).
2*(t - 3)*(5*t + 2)**2/9
Let q = 7 - 7. Let u(l) be the first derivative of q*l**2 + 1/6*l**4 + 0*l + 2 + 1/9*l**3 + 1/15*l**5. Find p, given that u(p) = 0.
-1, 0
Let o = 2720 - 285562/105. Let d = o + -1/35. Factor 0*n - 1/3*n**4 - d*n**2 + 0 + 2/3*n**3.
-n**2*(n - 1)**2/3
Let u be (1 + 1)/((-4)/(-10)). Suppose -k + 6 - 4 = 0. Factor -c**k + u*c**2 - 6*c**2 - 2*c**3.
-2*c**2*(c + 1)
Suppose 2 = 5*f - 3*k + k, 5*f - 1 = k. Factor f*j + 2/7*j**3 + 0 + 2/7*j**2.
2*j**2*(j + 1)/7
Let s be ((-7)/(-7))/(10/(-656)). Let m = s - -66. Find h, given that 2/5*h**3 - 4/5*h**2 + 0 + m*h = 0.
0, 1
Let n(l) = 2*l - 2. Let b(o) = o**2 + 2*o - 3. Let g = -2 - 1. Let h(x) = g*n(x) + 2*b(x). Factor h(u).
2*u*(u - 1)
Let n(b) = 3*b**3 + 7*b**2 + 7*b - 7. Let s(q) = -2*q**3 - 4*q**2 - 4*q + 4. Let w(j) = -6*n(j) - 10*s(j). Factor w(v).
2*(v - 1)**2*(v + 1)
Factor 24/11*r**2 + 2/11*r**4 + 20/11*r + 6/11 + 12/11*r**3.
2*(r + 1)**3*(r + 3)/11
Let l(w) be the third derivative of -w**7/70 + w**6/20 - 13*w**2. Factor l(d).
-3*d**3*(d - 2)
Let m = -1069/7 - -153. Let y(j) be the first derivative of -m*j**2 + 2/21*j**3 + 1 + 2/7*j. Factor y(v).
2*(v - 1)**2/7
Find s such that -16/11*s - 14/11*s**2 - 2/11 = 0.
-1, -1/7
Determine y so that 113*y - y**2 - 109*y - 4 + 1 = 0.
1, 3
Let a(c) = -12*c**2 + c + 3. Let z(x) = -49*x**2 + 5*x + 13. Let r(s) = -26*a(s) + 6*z(s). Factor r(n).
2*n*(9*n + 2)
Let d(z) be the second derivative of -z**9/1512 - z**8/840 + z**7/210 - 3*z**3/2 - 6*z. Let u(q) be the second derivative of d(q). Factor u(g).
-2*g**3*(g - 1)*(g + 2)
Let x be (1*-1)/((-5)/10). Suppose z - 2*z = -x. Suppose -2/5*b**z + 2/5 + 0*b = 0. Calculate b.
-1, 1
Let x be -4*(-2)/4*1. Solve 3 - 3 + 2*y**4 - 9*y**x + 7*y**2 = 0.
-1, 0, 1
Let b(n) be the third derivative of 1/1008*n**8 - 4*n**2 + 0*n**4 + 1/180*n**5 + 0*n + 0*n**3 - 1/360*n**6 + 0 - 1/630*n**7. Determine w so that b(w) = 0.
-1, 0, 1
Let a(w) be the third derivative of w**6/1440 + w**5/480 - 4*w**3/3 - 6*w**2. Let u(i) be the first derivative of a(i). Factor u(p).
p*(p + 1)/4
Let u(k) be the first derivative of k**4/6 - k**2/3 + 31. Factor u(o).
2*o*(o - 1)*(o + 1)/3
Let f(o) be the second derivative of o**6/30 - 3*o**5/10 + 13*o**4/12 - 2*o**3 + 2*o**2 + 14*o. Determine d so that f(d) = 0.
1, 2
Let l be (-140)/(-65) + (-10)/65. Determine q so that -24/7*q - 26/7*q**l - 12/7*q**3 - 8/7 - 2/7*q**4 = 0.
-2, -1
Let d(h) be the second derivative of -h**6/15 - h**5/10 + h**4/2 + h**3/3 - 2*h**2 - 13*h. Solve d(a) = 0.
-2, -1, 1
Let s(j) = j**2 - 36*j - 74. Let n be s(38). Factor 0 + 2/5*q + 3/5*q**3 - q**n.
q*(q - 1)*(3*q - 2)/5
Let o(z) be the second derivative of -z**5/120 - z**4/36 - z**3/36 - 15*z. Let o(r) = 0. Calculate r.
-1, 0
Factor 2/7*t**2 - 2/7*t**3 + 0 + 0*t.
-2*t**2*(t - 1)/7
Let r(x) = x**3 + 4*x**2 + x - 4. Let v be (-5)/10 + (-6)/4. Let s be r(v). Factor -1/4*c**3 + 1/2*c**s - 1/4*c**4 + 0*c + 0.
-c**2*(c - 1)*(c + 2)/4
Factor -1/2 - 1/2*x**2 + x.
-(x - 1)**2/2
Let t = 70/33 - -6/11. Suppose 1/3*p**3 + 4*p - 2*p**2 - t = 0. Calculate p.
2
Find w, given that -4/5*w + 1/2*w**4 - 1/10*w**2 - 2/5 + 7/10*w**3 + 1/10*w**5 = 0.
-2, -1, 1
Suppose -19*n = -25*n + 18. Let x(a) be the first derivative of 4 + 2*a**2 - 2*a - 2/3*a**n. Factor x(i).
-2*(i - 1)**2
Suppose -5*m = -7 - 3. Let g(q) = -q**3 + 4*q**2 - 4*q + 3. Let k be g(m). Let j**2 + 2*j + 4*j**4 - k*j**4 - 2*j**4 + j**3 - 3*j = 0. What is j?
-1, 0, 1
Suppose -6 = 3*j + 5*l, -2*l - 3*l = j + 12. Factor 4/11*r**2 + 0*r + 8/11*r**4 + 0 - 2/11*r**5 - 10/11*r**j.
-2*r**2*(r - 2)*(r - 1)**2/11
Let y(k) be the first derivative of -k**6/42 + k**4/28 - 1. Factor y(s).
-s**3*(s - 1)*(s + 1)/7
Let i(b) be the third derivative of -1/100*b**5 - 1/200*b**6 + 0 + 1/40*b**4 + 1/350*b**7 - 3*b**2 + 0*b**3 + 0*b. Factor i(m).
3*m*(m - 1)**2*(m + 1)/5
Factor 3/5 - 3*u - 18/5*u**2.
-3*(u + 1)*(6*u - 1)/5
Suppose -2 + 7*s**2 