*8/6720 + p**6/720 - p**4/8 + 3*p**2. Let d(x) be the second derivative of m(x). Suppose d(i) = 0. Calculate i.
-1, 0, 1
Factor -1/7*g**5 - 1/7*g**4 + 0 + 0*g + 1/7*g**3 + 1/7*g**2.
-g**2*(g - 1)*(g + 1)**2/7
Let c = -2 + 10/3. Solve c*l**2 + 14/3*l - 4/3 - 14/3*l**3 = 0 for l.
-1, 2/7, 1
Let g be 13/(((-4)/(-2))/6). Let a be 5*(1 - g/45). Let -a*o**3 - 2/3 - 2*o**2 - 2*o = 0. What is o?
-1
Let z(i) be the second derivative of -4*i**7/21 - 4*i**6/15 + 3*i**5/10 + i**4/3 - i**3/3 + 3*i. Suppose z(l) = 0. Calculate l.
-1, 0, 1/2
Find a such that -2/3*a + 4/3*a**3 + 4/3*a**4 - 2/3*a**5 - 8/3*a**2 + 4/3 = 0.
-1, 1, 2
Suppose -8 = -2*q - 2. Let a be ((-1)/(-2))/(q/18). Find d such that 2*d**4 + 6*d**4 + d**2 + 6*d**3 - a*d**2 = 0.
-1, 0, 1/4
Let g(h) be the first derivative of -h**6/5 - 33*h**5/100 + h**4/20 + h**3/5 + h - 3. Let r(a) be the first derivative of g(a). Suppose r(z) = 0. Calculate z.
-1, -1/2, 0, 2/5
Find w, given that 0 - 1/5*w**4 + 3/5*w - 3/5*w**3 + 1/5*w**2 = 0.
-3, -1, 0, 1
Let n be (-2)/12*6*5/(-10). Let b(k) be the first derivative of -1/12*k**4 + 1 + n*k**2 + 0*k**3 + 2/3*k. Factor b(w).
-(w - 2)*(w + 1)**2/3
Suppose -5*o + 10*o + 50 = 0. Let u(z) = -z - 7. Let p be u(o). Factor -4/3*r**p + 1/3*r**4 - 4/3*r + 1/3 + 2*r**2.
(r - 1)**4/3
Let x be -161 + 1 - (2 + -1). Let b be x/(-140) + 2/(-5). Suppose 1/4 + 1/4*f**2 - 1/2*f**4 - b*f**3 + 3/4*f = 0. Calculate f.
-1, -1/2, 1
Let g(c) = c**4 - c**2 + c. Let o(j) = -5*j**4 + 6*j**2 - 4*j - 1. Let h(t) = 4*g(t) + o(t). Suppose h(z) = 0. Calculate z.
-1, 1
Let h be -1*(0 - 3 - 0). Let z be (2 + -3 + 2)*0. Suppose z*y**2 - 3/5*y - 2/5 + 1/5*y**h = 0. Calculate y.
-1, 2
Let c be 6/28 - (-2)/7. Let t(r) be the first derivative of -1 + 1/4*r**4 + 0*r + 1/5*r**5 - 1/3*r**3 - c*r**2. Factor t(i).
i*(i - 1)*(i + 1)**2
Let g(b) be the third derivative of -b**6/180 - 11*b**5/90 - 2*b**4/3 + 4*b**3 + 27*b**2. Suppose g(s) = 0. What is s?
-6, 1
Let z(u) be the first derivative of -2*u**3/9 - 4*u**2/3 - 8*u/3 - 5. Factor z(c).
-2*(c + 2)**2/3
Let l be ((-6)/(-4))/((-1)/(-2)). Factor -2*c**4 - 8*c**l - 4*c**5 + 3*c**5 + 7*c**3.
-c**3*(c + 1)**2
Let y be ((-26)/156)/((-2)/3). Suppose 0 = 3*g - 6*g + 9. Solve 1/2*b**g + 0*b**2 + 1/4*b**4 - 1/2*b - y = 0 for b.
-1, 1
Determine w, given that -2625*w**4 + 47 + 20*w - 47 - 625*w**5 - 940*w**2 - 140*w - 2550*w**3 = 0.
-3, -2/5, 0
Let v(y) be the third derivative of 0 - 2*y**2 - 1/12*y**3 + 0*y - 1/240*y**5 - 1/32*y**4. Factor v(p).
-(p + 1)*(p + 2)/4
Determine r, given that 0 - 4 + 5 + 2*r**2 + 1 + 4*r = 0.
-1
Suppose -22 - 2*m + 2*m**3 - 3*m**2 + 0*m**3 + 26 - m**2 = 0. What is m?
-1, 1, 2
Let d be 2/8 + (-44)/16*-1. Factor 2/3*c + 2*c**d + 0 + 2/3*c**4 + 2*c**2.
2*c*(c + 1)**3/3
Let d = 2/825 + 163/825. Factor 2/5*w + 0 + d*w**2.
w*(w + 2)/5
Let u be 45/10 + 2/4. Let q(g) = 9*g**3 + g**2 - 17*g - 9. Let f(n) = 6*n**3 + n**2 - 11*n - 6. Let s(o) = u*q(o) - 8*f(o). Factor s(w).
-3*(w - 1)*(w + 1)**2
Let 0*j**2 + 3/2*j**4 - 6*j + 0 + 9/2*j**3 = 0. Calculate j.
-2, 0, 1
Let w(a) be the third derivative of -a**7/630 - a**6/180 + a**5/15 + 5*a**4/24 - 4*a**2. Let j(k) be the second derivative of w(k). Factor j(z).
-4*(z - 1)*(z + 2)
Let m = -3/97 + 103/194. Factor 0 + 1/4*s**3 + m*s + 3/4*s**2.
s*(s + 1)*(s + 2)/4
Let p(s) be the first derivative of -7*s**2 + 2*s**4 - 4*s + 10/3*s**3 + 4. Determine f, given that p(f) = 0.
-2, -1/4, 1
Let r(h) be the second derivative of -h**6/120 - h**5/10 - h**4/2 - 4*h**3/3 - 2*h**2 + 18*h. Factor r(x).
-(x + 2)**4/4
Factor -6*d**2 + d**3 + d**4 + 6 - 2*d**3 + 4*d + 2.
(d - 2)**2*(d + 1)*(d + 2)
Factor 0 - 2/9*h**4 + 2/9*h**2 - 4/9*h + 4/9*h**3.
-2*h*(h - 2)*(h - 1)*(h + 1)/9
Determine g, given that 0*g**2 - 1/8*g + 1/4*g**3 + 0 - 1/8*g**5 + 0*g**4 = 0.
-1, 0, 1
Let j = -12 - -14. Find g such that -10/7*g**j - 6/7*g**3 - 2/7*g + 2/7 = 0.
-1, 1/3
Let b(u) be the first derivative of 2*u**5/45 + u**4/18 - 2*u**3/9 - u**2/9 + 4*u/9 - 10. Factor b(r).
2*(r - 1)**2*(r + 1)*(r + 2)/9
Let u(w) = -w + 2. Suppose 3*d - 5*h = 4*d - 5, -d + 3*h = 3. Let n be u(d). Factor 4 - 7*o**2 - 3*o**n + 2*o - 8*o.
-2*(o + 1)*(5*o - 2)
Let 28*f**5 - 4*f**3 - 3*f**3 - 4*f - 17*f**2 + 32*f**4 - 15*f**2 - 17*f**3 = 0. What is f?
-1, -1/7, 0, 1
Let v = 20 - 39/2. Let u be ((-12)/(-14))/(-3) + (-4)/(-14). What is g in 0 - v*g**2 + 1/2*g**3 + u*g = 0?
0, 1
Let h(x) be the first derivative of 5/3*x**3 + 2 - 6/5*x**5 - 1/4*x**4 + 0*x + x**2. Solve h(l) = 0 for l.
-2/3, -1/2, 0, 1
Suppose -2*q = -4*d + 18, -4*d - 2*q - q + 23 = 0. Suppose -d*m + 14 = -1. Factor 3*t**m - t**3 + 2*t - 2*t**2 + 6*t**2.
2*t*(t + 1)**2
Let o(a) = -2*a**3 + 5*a**2 + 5*a - 11. Let m(b) = -b**2 + b + 1. Let h(v) = -3*m(v) - o(v). Let h(y) = 0. Calculate y.
-2, 1, 2
Let 16/3 - 250/3*r**5 - 4/3*r**2 - 410/3*r**3 - 200*r**4 + 24*r = 0. What is r?
-1, -2/5, 2/5
Suppose 5 - 2 = s. Factor -6*r**2 - 3*r + 5*r + 2*r**s + 8 - 2*r.
2*(r - 2)**2*(r + 1)
Let j(o) be the second derivative of 361*o**7/105 + 437*o**6/75 - 281*o**5/50 - 433*o**4/30 - 16*o**3/3 - 4*o**2/5 + 2*o + 11. Let j(d) = 0. Calculate d.
-1, -2/19, 1
Let b(z) be the second derivative of z**7/273 + z**6/65 - 38*z. Factor b(q).
2*q**4*(q + 3)/13
Solve 1/7*s**2 - 5/7*s + 6/7 = 0 for s.
2, 3
Let f = 139260993/47284972 - 6/288323. Let l = f - 8/41. Solve -l*v + 29/2*v**4 + 6*v**5 - 1/2 + 37/4*v**3 - 3/2*v**2 = 0 for v.
-1, -2/3, -1/4, 1/2
Let n(u) be the second derivative of -u**7/21 + u**6/45 + u**5/18 + u**4/54 + 4*u. Factor n(w).
-2*w**2*(w - 1)*(3*w + 1)**2/9
Solve 24*f**3 + 2*f**2 + 4*f**5 + 14*f**2 + 35*f**4 - 19*f**4 + 4*f = 0.
-1, 0
Let x be 3/2*16/6. Let h be ((-5)/(-10))/(3/x). Factor 0 - 1/3*r**2 + h*r.
-r*(r - 2)/3
Let z(m) be the third derivative of -m**5/40 - m**4/32 + 3*m**3/8 - 29*m**2. Suppose z(s) = 0. Calculate s.
-3/2, 1
Let f = -18 - -13. Let y = 8 + f. Determine r so that -2/3*r + 0 - r**y + 5/3*r**2 = 0.
0, 2/3, 1
Let f(r) = r**2 - 3*r - 6. Let h be f(-2). Factor 8/7*l + 8/7*l**3 + 2/7 + 12/7*l**2 + 2/7*l**h.
2*(l + 1)**4/7
Let d(y) = 25*y**4 - 25*y**3 + 17*y**2. Let p(c) = -4*c + 2. Let f be p(2). Let k(n) = -3*n**4 + 3*n**3 - 2*n**2. Let w(a) = f*d(a) - 51*k(a). Factor w(s).
3*s**3*(s - 1)
Let u(w) be the third derivative of -w**5/420 + w**4/28 + 8*w**3/21 + 2*w**2 + 5. Factor u(c).
-(c - 8)*(c + 2)/7
Let o = 9/52 + 1/13. Solve -1/4*l**2 + 1/4 - 1/4*l**3 + o*l = 0.
-1, 1
Let d = 229/414 + -5/46. Factor d*h - 2/9*h**4 + 2/9*h**2 - 4/9*h**3 + 0.
-2*h*(h - 1)*(h + 1)*(h + 2)/9
Suppose 420 = -5*k - 5*m, 3*k = k + 4*m - 174. Let l be k/(-28) - 6/8. Factor -l + 2/7*a**3 - 12/7*a**2 + 24/7*a.
2*(a - 2)**3/7
Let d be (-1 + -1)/(2/(-4)). Let a = -4 + 4. Find k, given that -1/4*k**d + 1/4*k**3 + a*k + 0*k**2 + 0 = 0.
0, 1
Determine y so that -2/3 - 2*y**5 + 22/3*y**4 + 4*y**2 + 2/3*y - 28/3*y**3 = 0.
-1/3, 1
Suppose 71 - 32 = 13*v. Factor 16/5*j**v + 0 - 14/5*j**2 - 6/5*j**4 + 4/5*j.
-2*j*(j - 1)**2*(3*j - 2)/5
Let u(s) be the third derivative of 1/180*s**6 + 0 + 3*s**2 - 4/27*s**3 + 0*s + 0*s**4 + 7/270*s**5. Find o such that u(o) = 0.
-2, -1, 2/3
Let n(w) = w**3 + 4*w**2 - 2*w - 6. Suppose -3*g - f - 12 = -0*g, 20 = -5*g - 4*f. Let p be n(g). Factor 1/2*c**p - 1/2 + 0*c.
(c - 1)*(c + 1)/2
Let z = 6 - 4. Suppose -3 = -3*l, -2*t + 7 = 6*l - 3*l. Factor 6 - 3*f**2 + z + 8*f + 5*f**t.
2*(f + 2)**2
Let l be -5 + 5 + 1 + 1. Solve 3*f + 2*f**2 - 4*f + l*f**3 - 3*f = 0.
-2, 0, 1
Let r be -15*(-7)/(35/(-2)). Let h be 2 + r + 3 + 3. Determine g, given that -1/4*g + 0 + 1/4*g**h = 0.
0, 1
Factor -2/5*c**3 - 6/5*c + 6/5*c**2 + 2/5.
-2*(c - 1)**3/5
Suppose 4/3*z**2 - 4/3*z**3 + 1/3*z**4 + 0*z + 0 = 0. What is z?
0, 2
Let u(h) = 9*h**5 + 5*h**4 - 6*h**3 - 18*h**2 - 13*h - 2. Let v(w) = w**5 + w**3 + w**2. Let c(i) = u(i) - 5*v(i). Factor c(f).
(f - 2)*(f + 1)**3*(4*f + 1)
Let m(d) = 5*d. Let g be m(1). Let i be 4/2 - (2 + -2). Find q such that -i*q**3 + 5 + 2*q - g = 0.
-1, 0, 1
Let l(v) be the third derivative of -4*v**7/735 + 3*v**6/140 - v**5/35 + v**4/84 - 22*v**2. Factor l(i).
-2*i*(i - 1)**2*(4*i - 1)/7
Suppose 6*i - 6*i**2 - 3*i**5 + i + 6*i**4 - 4*i = 0. What is i?
-1, 0, 1
Factor -13/7*j - 22/7*j**4 - 5/7*j**5 - 32/7*j**2 - 38/7*j**3 - 2/7.
-(j + 1)**4*(5*j + 2)/7
Let j be 16/18*(-144)/(-32). Factor 8/5*i - 2/5