 + 3/2*c**5 + 11/2*c**3 - c + 0 + 1/2*c**b = 0.
-2, -1, 0, 1/3
Let u = 62/121 + -3/242. Let -5/2*x**3 + 2*x**4 + u*x**2 + 0 + 0*x = 0. What is x?
0, 1/4, 1
Let l(w) = -2*w - 6. Let k be l(-4). Let x be 24/9 + (-2)/(-6). Let -2*t**x + 2*t**2 - 4*t**2 + 0*t**k = 0. Calculate t.
-1, 0
Factor 2*h**4 - 10*h**2 + 14*h**2 - 4 - 4*h**4 + 2 - h + 2*h**3 - h**5.
-(h - 1)**2*(h + 1)**2*(h + 2)
Let v(r) be the second derivative of -1/30*r**6 + 1/40*r**5 + 0*r**2 + 0*r**4 + 1/84*r**7 - 5*r + 0 + 0*r**3. Factor v(u).
u**3*(u - 1)**2/2
Suppose 0 - x**4 - 5/2*x**5 + x**2 + 0*x + 5/2*x**3 = 0. Calculate x.
-1, -2/5, 0, 1
Let p be (-1)/5 - 8/(-12). Let b = 4/5 - p. Factor -2*s**3 + 0 - 4/3*s**2 - 4/3*s**4 - 1/3*s**5 - b*s.
-s*(s + 1)**4/3
Let a = -93 + 1025/11. Factor a*d + 0 + 6/11*d**3 + 2/11*d**4 + 6/11*d**2.
2*d*(d + 1)**3/11
Let g(n) be the second derivative of -n**5/90 - n**4/18 + n**3/27 + n**2/3 + 3*n. Solve g(f) = 0 for f.
-3, -1, 1
Let u be 720/135 + -1*4. Determine f, given that 0 + 0*f - 2/3*f**2 - 2/3*f**4 - u*f**3 = 0.
-1, 0
Let y be 18/(-42) + 1 + (-2)/28. Factor y*v - 1/2*v**2 + 0.
-v*(v - 1)/2
Suppose -b + 2*x = -0*b + 1, -4*b = 4*x + 28. Let f(d) = d + 5. Let p be f(b). Factor 1/5*c**2 + 1/5*c + p.
c*(c + 1)/5
Let d(r) be the second derivative of r**6/1080 - r**5/180 + r**4/72 - r**3/6 - 2*r. Let n(s) be the second derivative of d(s). Let n(x) = 0. Calculate x.
1
Suppose 3*a + z = a + 14, -2*z - 2 = -a. Find i such that -i**4 + 3*i - 3 + a*i**2 - 3*i - 2*i**4 = 0.
-1, 1
Let -4/7*h**3 + 6/7*h**2 - 2/7*h**4 + 16/7*h + 8/7 = 0. What is h?
-2, -1, 2
Let z(r) be the second derivative of 2*r**7/63 + 2*r**6/45 - 2*r**5/15 + 2*r. Let z(n) = 0. What is n?
-2, 0, 1
Determine x, given that 20/3*x**2 + 32/3*x + 4/3*x**3 + 16/3 = 0.
-2, -1
Let a be 176/24 - 4/(-6). Suppose 2*d + 6 = 4*k, 3 = 4*k - d - a. What is m in 0 - 2/3*m**k + 2/3*m**2 - 1/3*m + 0*m**3 + 1/3*m**5 = 0?
-1, 0, 1
Let o(r) be the third derivative of -r**6/360 - r**5/180 - 8*r**2. Factor o(p).
-p**2*(p + 1)/3
Let w(s) be the third derivative of -s**8/672 + s**7/420 + s**6/240 - s**5/120 + 38*s**2. What is i in w(i) = 0?
-1, 0, 1
Let z be (-1 - -2)*((-35)/10 + 4). Let i(h) be the first derivative of 1 - 1/2*h**2 + 0*h + 3/2*h**4 - 7/10*h**5 - z*h**3. Determine k so that i(k) = 0.
-2/7, 0, 1
Let v(o) be the second derivative of -o**4/42 + 2*o**3/21 + 21*o. Find a, given that v(a) = 0.
0, 2
Let s = -4 + 6. Suppose 0 = c - 0*i - s*i + 7, -5*i = -25. Suppose 1/4*m**2 + 1/4*m**c - 1/4*m**4 - 1/4*m**5 + 0*m + 0 = 0. What is m?
-1, 0, 1
Let d(i) be the third derivative of 3*i**6/280 + 2*i**5/35 - 3*i**4/56 - 4*i**3/7 + 59*i**2. Factor d(b).
3*(b - 1)*(b + 1)*(3*b + 8)/7
Let c(t) be the third derivative of -t**10/181440 + t**8/40320 - 7*t**4/24 - 5*t**2. Let j(w) be the second derivative of c(w). Suppose j(k) = 0. What is k?
-1, 0, 1
Let q(v) be the third derivative of 1/336*v**8 + 0*v**6 + 0*v**3 - 1/30*v**5 - 1/24*v**4 + 0 + 2*v**2 + 0*v + 1/105*v**7. Factor q(o).
o*(o - 1)*(o + 1)**3
Suppose m = 3*m + 16. Let i = m + 10. Determine w, given that -10/7*w**i + 6/7*w**3 + 0 + 4/7*w = 0.
0, 2/3, 1
Let n(l) = -4*l**4 - 16*l**3 - 8*l**2 - 4*l - 4. Let p(b) = -b**2 + b + 1. Let c(r) = -n(r) - 4*p(r). Suppose c(m) = 0. Calculate m.
-3, -1, 0
Determine h so that -1 + 4*h - 6*h**2 + h**3 + h**3 + 1 = 0.
0, 1, 2
Let n = -115 + 118. Determine m, given that -1/6*m**n + 0*m - 1/6*m**4 + 0 + 1/6*m**2 + 1/6*m**5 = 0.
-1, 0, 1
Let d(s) be the second derivative of -s**6/6 + s**5/4 + 5*s**4/6 - s + 9. Factor d(g).
-5*g**2*(g - 2)*(g + 1)
Let l(z) be the second derivative of 33/50*z**5 + 4/15*z**3 - z + 14/15*z**4 + 0 - 56/75*z**6 + 16/105*z**7 + 0*z**2. Factor l(k).
2*k*(k - 2)**2*(4*k + 1)**2/5
Let x be -1 + 0/1 + (0 - -5). Factor 0*t**2 + 0*t**x - 8/3*t**3 + 4/3*t**5 + 0 + 4/3*t.
4*t*(t - 1)**2*(t + 1)**2/3
Factor -5/2 + 15*d + 10*d**3 - 45/2*d**2.
5*(d - 1)**2*(4*d - 1)/2
Solve 2/7*i**2 - 12/7*i + 0 = 0.
0, 6
Let p(f) be the first derivative of 1/3*f**3 - 3/4*f**4 + 3 + 3/5*f**5 + 0*f + 0*f**2 - 1/6*f**6. Factor p(a).
-a**2*(a - 1)**3
Let n = -7/31 - -311/279. Factor 0 + n*s**3 + 0*s + 8/9*s**2 + 2/9*s**4.
2*s**2*(s + 2)**2/9
Let a be 0 + 4 + (-4 - -12)/(-4). Find u, given that -3/2*u**a - 6*u - 6 = 0.
-2
Suppose 430*r = 428*r + 6. Solve 0 + 4/5*i**2 + 0*i - 2/5*i**r = 0.
0, 2
Let d(a) be the third derivative of -a**9/40320 + a**8/6720 - a**7/3360 - a**5/60 + a**2. Let c(f) be the third derivative of d(f). Factor c(q).
-3*q*(q - 1)**2/2
Let f be 20/11 + (-18)/(-99). Factor -2*v + 4*v + 2*v + 2*v**f + 2.
2*(v + 1)**2
Let d be (-4)/(-3) - 38/(-57). Determine z so that 0 + 0*z**d + 0*z + 2/3*z**3 = 0.
0
Suppose 4*i - 9 = -1. Factor -21*k**3 + 21*k**3 - i*k**2 + k**4 + 1.
(k - 1)**2*(k + 1)**2
Let n = 121 + -118. Find y such that -1/4*y**2 + 1/4*y + 1/4 - 1/4*y**n = 0.
-1, 1
Factor 3*t**3 - 1/2 + 4*t - 13/2*t**2.
(t - 1)**2*(6*t - 1)/2
Suppose -5*q = -4*b - 3, 4*b = -4*q + 19 + 5. Suppose 3*d - 6 = -q*u - 0*u, 2*u = 4*d - 26. Factor 0*j**3 + 3/2*j**2 - 3/2*j**4 - 3/4*j**d + 3/4*j + 0.
-3*j*(j - 1)*(j + 1)**3/4
Let w(v) be the second derivative of -2*v**7/105 - 6*v**6/25 - 26*v**5/25 - 6*v**4/5 + 18*v**3/5 + 54*v**2/5 - 30*v. Find y such that w(y) = 0.
-3, -1, 1
Let j be -9 + 8 - (1 + -2). Let u(n) be the second derivative of -n + 0*n**2 + 7/36*n**4 + 1/9*n**3 + 1/30*n**6 + j + 2/15*n**5. Factor u(c).
c*(c + 1)**2*(3*c + 2)/3
Let g(a) be the second derivative of -a**6/15 - 3*a**5/10 - a. Factor g(j).
-2*j**3*(j + 3)
Let y = 128 + -125. Determine o, given that -o**y + 1/2*o**4 - o**2 + 1/2*o + 1/2 + 1/2*o**5 = 0.
-1, 1
Let u(l) = -l**2 - l. Let t be u(-1). Suppose -3*b - 3 = t, -3*w + 4*b + 21 - 5 = 0. Factor 0*x**5 - 2*x**2 - 2*x**4 + 9*x**5 - 2*x**5 + w*x**4 - 7*x**3.
x**2*(x - 1)*(x + 1)*(7*x + 2)
Let z(c) be the third derivative of -c**7/420 + c**6/180 + c**5/30 - c**3/2 + 3*c**2. Let d(p) be the first derivative of z(p). Factor d(u).
-2*u*(u - 2)*(u + 1)
Determine j so that 5*j**3 + 25*j**2 + 0*j - j**5 - 16 - 5*j**4 + 32 - 40*j = 0.
-4, 1
Let i(j) be the second derivative of 1/12*j**4 - 1/2*j**3 + j**2 + 3*j + 0. Let i(q) = 0. What is q?
1, 2
Factor a**2 - 23 - 5*a - 3*a + 11 + a**3.
(a - 3)*(a + 2)**2
Let g be ((-8)/7)/(72/14 + -6). Let w(n) be the second derivative of 0*n**2 + 2*n + g*n**3 + 0 - 8/3*n**4 + 7/10*n**5. Determine j, given that w(j) = 0.
0, 2/7, 2
Let p be (-1 + 3)*21/14. Let -2 + p*u + 1 + 5*u**2 + 3 - 4*u**2 = 0. Calculate u.
-2, -1
Let k = 148/163 - -13754/2445. Let b(i) be the first derivative of -28/5*i**2 + k*i**3 + 8/5*i + 2. Solve b(n) = 0.
2/7
Let p = -5 - -6. Let l(i) be the first derivative of i**2 + 0*i**3 + 0*i + p - 1/2*i**4. Factor l(g).
-2*g*(g - 1)*(g + 1)
Suppose -3 - 5 = -4*m. Factor -4*u**2 + 3*u + 0*u**2 - 3*u - m*u**3.
-2*u**2*(u + 2)
Let l(h) = -h**2 - h - 1. Let j(y) = -16*y**2 - 12*y - 6. Let g(u) = j(u) - 10*l(u). Factor g(k).
-2*(k + 1)*(3*k - 2)
Let f(i) be the second derivative of 4*i**6/15 - 3*i**5/5 + i**4/2 - i**3/6 + 11*i. Factor f(j).
j*(2*j - 1)**3
Let y(v) be the second derivative of v**7/630 - 2*v**2 - 2*v. Let r(i) be the first derivative of y(i). What is q in r(q) = 0?
0
Let z(a) be the second derivative of -1/21*a**7 - a + 0*a**3 + 2/3*a**4 + 1/3*a**6 - 4/5*a**5 + 0*a**2 + 0. Determine y, given that z(y) = 0.
0, 1, 2
Let m = -77 - -77. Suppose 3/2*d**3 - 3 + m*d**2 - 9/2*d = 0. Calculate d.
-1, 2
Let n(x) be the first derivative of 2*x**2 + 0*x + 1/2*x**4 - 5 - 2*x**3. Solve n(o) = 0 for o.
0, 1, 2
Let g(u) be the second derivative of -u**7/840 + u**6/360 + u**5/60 + 5*u**3/6 + 3*u. Let y(x) be the second derivative of g(x). Solve y(c) = 0.
-1, 0, 2
Suppose 0*z - 12 = -z. Suppose -4*o = -8*o + z. Factor 21*y**2 + 11*y + 15*y**o - 3*y**4 + 6*y**4 + y + 3*y**2.
3*y*(y + 1)*(y + 2)**2
Let y(j) be the third derivative of j**10/5040 - j**9/1680 + j**8/2240 - j**4/8 + 7*j**2. Let i(z) be the second derivative of y(z). Let i(v) = 0. What is v?
0, 1/2, 1
Let g(t) be the third derivative of t**7/420 - t**6/240 - t**5/40 + t**4/48 + t**3/6 + 11*t**2. Factor g(v).
(v - 2)*(v - 1)*(v + 1)**2/2
Let i(l) be the third derivative of -1/630*l**7 + 0*l**6 + 0*l**5 - 6*l**2 + 0*l**4 - 1/1008*l**8 + 0 + 0*l**3 + 0*l. Suppose i(y) = 0. What is y?
-1, 0
Suppose -5*s + 2*s + 