*s**2 = 0.
-1, 1
Let c(p) be the third derivative of p**9/4536 + p**8/2520 - p**7/1260 - p**6/540 + p**3/2 + 2*p**2. Let s(g) be the first derivative of c(g). Solve s(o) = 0.
-1, 0, 1
Let v be ((-4)/6)/((-9)/((-54)/(-96))). Let b(d) be the third derivative of -1/30*d**5 + 0*d - 2*d**2 + 0*d**3 - v*d**4 + 0. Factor b(g).
-g*(2*g + 1)
Suppose 4*x + 4*o + 4 = 0, x - 2*o + 10 = -0*x. Let u be x/(-6) - (-12)/(-18). Factor 0*k**2 - 1/3*k**3 + u + 0*k + 4/3*k**5 - k**4.
k**3*(k - 1)*(4*k + 1)/3
Let w = -4 + -2. Let h be (-45)/(-42) + 3/w. Factor -h*k + 2/7*k**2 + 2/7.
2*(k - 1)**2/7
Let r = 45 - 42. Let m(o) be the third derivative of 0*o + 1/12*o**4 + 1/180*o**6 + 1/9*o**r + 0 + 1/30*o**5 + o**2. Factor m(k).
2*(k + 1)**3/3
Let 0 + 1/4*f**2 + 1/2*f = 0. Calculate f.
-2, 0
Determine h so that -32/15 - 52/15*h - 2/5*h**2 + 2/15*h**4 + 16/15*h**3 = 0.
-8, -1, 2
Let h be -2*(-6)/((-48)/(-20)). Factor 5*m**2 + 3*m**2 - h*m**2 + 6*m + 0*m**2.
3*m*(m + 2)
Suppose 3*k - 5*x = 0, 0 = -k - 3*k + 2*x. Factor 1/6 - 1/3*z + 1/3*z**3 - 1/6*z**4 + k*z**2.
-(z - 1)**3*(z + 1)/6
Let d(a) be the first derivative of 3*a**5/35 - 9*a**4/28 - a**3/7 + 9*a**2/14 - 5. Factor d(q).
3*q*(q - 3)*(q - 1)*(q + 1)/7
Let t(h) be the first derivative of 0*h - 1/9*h**3 + 8 + 0*h**2. Let t(f) = 0. Calculate f.
0
Let v(j) = j**3 + 3*j**2 - 18*j + 16. Let k be v(1). Factor -2/3 + 2/9*y**k - 4/9*y.
2*(y - 3)*(y + 1)/9
Let m(t) be the second derivative of -t**7/14 + t**6/10 + 3*t**5/20 - t**4/4 + 23*t. Factor m(a).
-3*a**2*(a - 1)**2*(a + 1)
Suppose 0*g = 3*g - 3. Suppose -g = -3*t + 8. Factor -7*b**3 + 0*b**4 + 4*b**2 + b**4 + 3*b**t.
b**2*(b - 2)**2
Find q such that -2/7 + 0*q + 2/7*q**2 = 0.
-1, 1
Let l(t) be the third derivative of -t**5/390 - t**4/156 + 2*t**3/39 + 15*t**2. Determine d, given that l(d) = 0.
-2, 1
Let k(r) be the second derivative of -r**9/567 + r**8/420 + r**7/630 - r**3/2 + 5*r. Let v(l) be the second derivative of k(l). Factor v(o).
-4*o**3*(o - 1)*(4*o + 1)/3
Let y(m) be the second derivative of m**5/220 + m**4/66 + 5*m. Factor y(h).
h**2*(h + 2)/11
Let x(h) be the third derivative of 1/36*h**4 + 0*h - 1/180*h**6 + 0 - 1/18*h**3 + 10*h**2 + 0*h**5 + 1/630*h**7. Let x(o) = 0. What is o?
-1, 1
Let w(i) be the second derivative of -i**5/20 + i**4/4 - i**3/3 + 2*i. Let w(m) = 0. Calculate m.
0, 1, 2
Suppose 0 = -12*f + 29*f - 11*f. Solve 2/9*n**2 + 0*n + f = 0.
0
Solve -3/4*l**4 + 21/8*l**3 - 9/8*l**2 + 0 + 0*l = 0.
0, 1/2, 3
Let d(v) be the first derivative of -v**6/2 - 6*v**5/5 + 3*v**4/2 + 4*v**3 - 3*v**2/2 - 6*v - 12. Determine j so that d(j) = 0.
-2, -1, 1
Let n(b) be the first derivative of -b**3/3 + 3*b**2 + 16. Factor n(q).
-q*(q - 6)
Let j = 21 + -15. Let x(w) be the third derivative of 1/12*w**4 + 0*w**3 - 1/60*w**j + w**2 + 0 + 0*w + 0*w**5. Factor x(v).
-2*v*(v - 1)*(v + 1)
What is p in -5*p**3 - 5*p + 5/4 + 5/4*p**4 + 15/2*p**2 = 0?
1
Let h = -1323/2 - -619. Let g = h - -56. Let 15/2*t**5 + 18*t**4 + 3*t**2 + g*t**3 + 0*t + 0 = 0. What is t?
-1, -2/5, 0
Suppose -3*d - 3 = -u, 0 = u - 0*u - 3. Factor d - 1/4*j + 1/4*j**2.
j*(j - 1)/4
Let q(n) be the first derivative of -n**6/1080 - n**5/180 - n**4/72 - 2*n**3/3 - 1. Let l(j) be the third derivative of q(j). Factor l(i).
-(i + 1)**2/3
Let v(u) = u**3 - 11*u**2 + u - 6. Let o be v(11). What is y in -25/2*y**3 + 4*y**4 + 2*y - 4*y**2 + 0 + 21/2*y**o = 0?
-1, -2/3, 0, 2/7, 1
Suppose -10*u - 2 = -11*u. Let f = 14/65 + 394/585. Suppose -4/3*g**3 + f*g**u - 2/9*g**5 - 2/9*g + 8/9*g**4 + 0 = 0. What is g?
0, 1
Let q = 1033 - 11351/11. Factor -2/11 - 8/11*k**3 - 2/11*k**4 - q*k**2 - 8/11*k.
-2*(k + 1)**4/11
Let a = -41 + 38. Let l be 3/a - 6/(-4). Let -1/4 - l*b - 1/4*b**2 = 0. Calculate b.
-1
Let o(k) = -k**3 - 2*k**2 - k. Let r be o(-1). Let h(y) = y + 5. Let p be h(-5). Factor r*m - 1/2*m**3 + p - 1/4*m**2.
-m**2*(2*m + 1)/4
Find w, given that -1/2*w - 1/6*w**3 - 1/6 - 1/2*w**2 = 0.
-1
Let t(g) be the third derivative of -g**6/450 - g**5/600 - g**3/2 + g**2. Let w(a) be the first derivative of t(a). Solve w(m) = 0.
-1/4, 0
Let v(j) be the first derivative of j**7/140 + j**2 - 4. Let f(y) be the second derivative of v(y). Let f(q) = 0. What is q?
0
Let -1/3*j**5 + 0*j - 1/3*j**4 + 0 + 1/3*j**3 + 1/3*j**2 = 0. What is j?
-1, 0, 1
Suppose -3*v + 2 = -4. Suppose p = -v*p. Determine o so that 8*o + p*o**2 - 19*o**2 + 5*o**3 + 2*o**3 + 4 = 0.
-2/7, 1, 2
Let p = 10 + -8. Factor 3*q + p*q - 3*q + 0*q**2 - q**2.
-q*(q - 2)
Let h(l) = 6*l**4 - 4*l**3 - 2*l**2 - 7. Let m(a) = -5*a**4 + 3*a**3 + 2*a**2 + 6. Let f(x) = -6*h(x) - 7*m(x). Solve f(j) = 0 for j.
0, 1, 2
Let r(l) be the second derivative of l**5/40 - l**4/8 + l**3/4 - l**2/4 + 6*l. Suppose r(x) = 0. Calculate x.
1
Determine b so that -2/7*b**3 + 10/7*b**2 - 10/7 + 2/7*b = 0.
-1, 1, 5
Let t = -8 + 8. Suppose l - 6 = -2*f, -4*l + 0*f + 2*f + 4 = t. Suppose -2 - a**l - 2*a**2 + a**2 + 4*a = 0. Calculate a.
1
Suppose -4*v + 2*q = -60, -v + q + 2*q = -10. Suppose v = -2*h + 52. Find x such that -27/2*x + h*x**2 + 3 - 15/2*x**3 = 0.
2/5, 1
Suppose 6 = k - 3*o, -5*k - 3*o + 4*o = -16. Let g(p) be the second derivative of -1/9*p**k + 0 - 2*p + 0*p**2 + 1/18*p**4. Factor g(c).
2*c*(c - 1)/3
Let f(l) be the first derivative of -4/7*l - 1/14*l**4 - 8/21*l**3 - 5/7*l**2 - 3. Factor f(y).
-2*(y + 1)**2*(y + 2)/7
Let h(z) be the first derivative of z**6/120 + z**5/5 + 2*z**4 + 3*z**3 - 2. Let r(s) be the third derivative of h(s). Determine d, given that r(d) = 0.
-4
Let z = 11 - 8. Suppose 0 = z*u - 0*u. Factor 3*t + u - t**2 + t - 4.
-(t - 2)**2
Let t = 8 - 5. Factor -8/5 + 1/5*u**t + 2/5*u**2 - 4/5*u.
(u - 2)*(u + 2)**2/5
Let i be (2 + -6)*(-5)/4. Suppose -3*b + 16 = -2*k, -4*b - i = 4*k + 7. Let 3*x**3 - 2*x**3 + x**4 + x**3 - x**2 - b*x + 0*x**3 = 0. Calculate x.
-2, -1, 0, 1
Solve 1/6*h**4 - 1/6 - 1/3*h**3 + 1/3*h + 0*h**2 = 0.
-1, 1
Let n be (-1 - (-4)/6)*-6. Suppose m - 9 = -n*m. Factor 0*z**2 - 1/5*z**4 + 0*z + 0*z**m - 1/5*z**5 + 0.
-z**4*(z + 1)/5
Suppose -5*u - 5*t + 35 = 0, -t = -u + 6 + 7. Let 3 + 4 - 5 + 3*s - 4*s - u*s**2 = 0. Calculate s.
-1/2, 2/5
Factor 3/4 - 9/8*o + 3/8*o**2.
3*(o - 2)*(o - 1)/8
Let g be (-4)/(-3)*6/4. Suppose 4 = g*r - 4. Let j**r + 0*j + 0 - 1/4*j**3 + 0*j**2 = 0. Calculate j.
0, 1/4
Factor 4/3*z**5 + 16/3*z**2 + 16/3*z**4 + 4/3*z + 8*z**3 + 0.
4*z*(z + 1)**4/3
Let v be 0/(40/30*6/(-4)). Factor 0*j + 4/7*j**4 + 0*j**2 - 2/7*j**5 - 2/7*j**3 + v.
-2*j**3*(j - 1)**2/7
Find u such that -7 - 2*u + 2*u**3 - 4 + 7 + 4*u**2 = 0.
-2, -1, 1
Suppose -w = 2, 4*w - 2 = 2*r + 5*w. Let b(c) be the third derivative of r + c**2 + 1/60*c**4 - 7/300*c**5 + 0*c + 0*c**3. Factor b(a).
-a*(7*a - 2)/5
Suppose 2*p = q + q - 18, -41 = -5*q + p. Suppose 0 = -3*y + 7*y - q. Factor 4*g - y*g + 2*g**3 - 4*g**3.
-2*g*(g - 1)*(g + 1)
Let h(r) be the third derivative of -5*r**2 + 0 + 0*r + 0*r**3 + 0*r**4 - 1/600*r**6 - 1/300*r**5. Suppose h(k) = 0. Calculate k.
-1, 0
Let j(f) be the first derivative of -f**6/15 + 4*f**5/25 + 2*f**4/5 - 16*f**3/15 + 15. Solve j(y) = 0.
-2, 0, 2
Factor 5 + 1 - 54*g**2 - 4*g + 52*g**2.
-2*(g - 1)*(g + 3)
Let u(r) be the second derivative of -r**6/35 - 9*r**5/70 + r**4/14 + 3*r**3/7 + 4*r. Determine g so that u(g) = 0.
-3, -1, 0, 1
Let l(h) be the third derivative of h**9/211680 + h**8/7840 + 3*h**7/1960 + 3*h**6/280 + h**5/30 - h**2. Let k(p) be the third derivative of l(p). Factor k(j).
2*(j + 3)**3/7
Let o(t) be the first derivative of -t**6/4 + 11*t**5/20 - 5*t**3/6 + 3*t**2/4 - t/4 + 6. Let o(r) = 0. What is r?
-1, 1/3, 1/2, 1
Let l be (-10)/(-15) - 2/3. Suppose o + l + 1/2*o**2 = 0. Calculate o.
-2, 0
Let v(f) be the third derivative of f**5/360 - f**4/144 - f**3/18 + 6*f**2. Factor v(w).
(w - 2)*(w + 1)/6
Let m(f) = 5*f**5 - 2*f**4 + f**3 + 8*f**2 - 4*f - 4. Let z(x) = -4*x**5 + 2*x**4 - 8*x**2 + 4*x + 3. Let b(p) = 3*m(p) + 4*z(p). Solve b(n) = 0 for n.
-2, 0, 1, 2
Let n(r) be the third derivative of r**6/240 - r**5/120 - r**4/24 - 4*r**2. Determine a, given that n(a) = 0.
-1, 0, 2
Let l be ((12/(-27))/2)/(-1). Let w(p) be the first derivative of -2 - l*p**3 + 1/3*p**2 - 1/6*p**4 + 2/3*p. Factor w(j).
-2*(j - 1)*(j + 1)**2/3
Let j be -1*((-12)/32)/(-3). Let w = j - -39/56. Solve w*x + 2/7 + 2/7*x**2 = 0.
-1
Let c(j) = -20*j**