d p such that c(p) = 0.
5, 26
Let u be ((-3)/9)/((-2)/12). Let j be 2/(-26) + (4/(-130))/((-864)/376560). Find r such that -8/3*r**4 + 8/3*r - j*r**u + 0 + 34/3*r**3 = 0.
0, 1/4, 2
Let f be -1 + -2 - 2*-2. Let u be f*2 - (6 + (-68)/14). Suppose 10/7*h**2 + 2/7*h - 2/7 + u*h**3 = 0. What is h?
-1, 1/3
Suppose -m - 4*o = -20, -5*m - 7*o = -2*o - 25. Factor m*f + 1/3*f**3 + 0 - 1/6*f**2 - 1/6*f**4.
-f**2*(f - 1)**2/6
Let d(g) be the second derivative of g**4/6 + 20*g**3/3 + 100*g**2 + 5*g - 13. Find b, given that d(b) = 0.
-10
Let r(n) = -n**2 + 6*n - 4. Let v be r(4). Let d be 42/36 + 24/(-36). Factor -v*q**2 + q**3 - d*q**5 + 7/2*q - 1 + q**4.
-(q - 1)**4*(q + 2)/2
Let s(p) be the second derivative of -p**6/30 - p**5/20 + p**4/6 + 4*p + 13. Factor s(m).
-m**2*(m - 1)*(m + 2)
Determine o, given that 3/2*o**2 - 126 - 249/2*o = 0.
-1, 84
Let n(k) be the first derivative of -6 + 0*k - 10*k**2 + k**5 + 0*k**3 + 15/4*k**4. Suppose n(u) = 0. Calculate u.
-2, 0, 1
Let x be 1/((-2 - -3)/(-1)). Let d be (-90)/(-20) - x/2. Suppose 9*c**4 + 10*c**d + 4 - 5*c**4 + 8*c - 20*c**3 - 8*c**2 + 2*c = 0. Calculate c.
-1, -2/5, 1
Let v(p) = -p**2 - 2*p + 3. Let o(d) be the first derivative of -d**3/3 - d**2/2 + 2*d + 8. Let u(a) = 5*o(a) - 4*v(a). Factor u(q).
-(q - 2)*(q - 1)
Factor -7/6*h - 31/3*h**3 - 11/6*h**5 + 1/6 - 19/3*h**2 - 43/6*h**4.
-(h + 1)**4*(11*h - 1)/6
Determine b so that 12/5 + 6/5*b**3 + 3/5*b**4 - 12/5*b - 9/5*b**2 = 0.
-2, 1
Let m = 1 + 2. Suppose 148*r + 170*r = 193*r. Factor 4/5*z**2 + 1/5*z + 4/5*z**4 + r + 6/5*z**m + 1/5*z**5.
z*(z + 1)**4/5
Suppose -3*c**2 + 9*c - 71392 + 71392 = 0. What is c?
0, 3
Let p = -40 - -42. Factor -31*h**3 + 14*h**3 + 15*h**3 + 2*h + 7*h**p - 7*h**4.
-h*(h - 1)*(h + 1)*(7*h + 2)
Let z(g) = -62 + 25 - 60 + 20 - 16*g. Let d be z(-5). Find o, given that 105/2*o**2 + 18*o**d + 6 + 36*o = 0.
-2, -2/3, -1/4
Let 0*s**2 - 57/5*s**3 + 0*s - 3/5*s**4 + 0 = 0. What is s?
-19, 0
Let a(o) be the first derivative of -2*o**3/21 - 148*o**2/7 - 10952*o/7 - 261. Factor a(m).
-2*(m + 74)**2/7
Let k(i) be the first derivative of 2*i**3/21 + 6*i**2/7 - 2*i - 262. Solve k(f) = 0.
-7, 1
Factor 280*n**2 - 36*n**4 + 455*n**3 + 0*n**3 - 20*n + 191*n**4.
5*n*(n + 1)*(n + 2)*(31*n - 2)
Suppose 3*b + 22 = -4*c + 34, 17 = b - 3*c. Let s(f) be the first derivative of 0*f - b - 2/21*f**3 + 1/7*f**2. Solve s(h) = 0 for h.
0, 1
Solve -3*z**5 - 728*z**3 - 75*z**4 + 768*z**3 - 7*z**5 = 0.
-8, 0, 1/2
Let 2/7*z**2 + 6/7 + 8/7*z = 0. Calculate z.
-3, -1
Let a(k) be the first derivative of 2/35*k**5 + 0*k**2 - 5/42*k**4 + 2*k + 2/21*k**3 - 1/105*k**6 + 3. Let w(m) be the first derivative of a(m). Factor w(z).
-2*z*(z - 2)*(z - 1)**2/7
Let l(z) = 5*z**3 + 8*z**2 + 3*z + 3. Let v(w) = -6*w**3 - 10*w**2 - 4*w - 4. Let m(j) = 4*l(j) + 3*v(j). Factor m(c).
2*c**2*(c + 1)
Let l = 585 + -1167/2. Find h, given that l + 6*h**4 - 9/2*h**2 - 6*h**3 + 3*h = 0.
-1/2, 1
Suppose g + 11 = w, -31 = w - 6*w - 3*g. Suppose 0 = 4*z - 43 + 35. Suppose -4*p - w + p**2 + z*p + 3*p**2 - 2*p = 0. What is p?
-1, 2
Determine b so that 2/7*b + 24/7*b**2 - 24/7 - 2/7*b**3 = 0.
-1, 1, 12
Let m(q) be the first derivative of -1/4*q**2 + 12 + 1/12*q**3 + 1/4*q. Suppose m(l) = 0. What is l?
1
Let d = 80 + -138. Let s be (-18)/6 + d/(-18). Solve 2/9*g + 0*g**2 - s*g**3 + 0 = 0.
-1, 0, 1
Let o(f) be the first derivative of 8/3*f**3 + 1/720*f**6 + 1/80*f**5 - 7 + 1/24*f**4 + 0*f**2 + 0*f. Let p(i) be the third derivative of o(i). Factor p(j).
(j + 1)*(j + 2)/2
Let l be (328/(-410))/((6/5)/(-3)). Factor 0*o**4 + 0*o + 0*o**l + 4/3*o**3 + 0 - 1/3*o**5.
-o**3*(o - 2)*(o + 2)/3
Let a(v) be the second derivative of 1/2*v**2 - v**3 - 1/40*v**5 + 1/4*v**4 + 0 - v. Let c(f) be the first derivative of a(f). Suppose c(m) = 0. What is m?
2
Solve 20/3 - 15*t**3 + 35/3*t**2 + 100/3*t = 0 for t.
-1, -2/9, 2
Let n be (60/45)/(8/14). Determine r so that 2/3*r**2 + 0 - r + 2/3*r**4 + n*r**3 = 0.
-3, -1, 0, 1/2
Let l(c) = -2*c - 2. Let w be l(-25). Let r be 1*(52/96 - (-6)/w). What is x in 2/3*x**2 + 0 + 0*x + r*x**3 = 0?
-1, 0
Suppose 3*h - 12 = k, 7*h - 3*h - 35 = -5*k. Let i be ((-3)/h + (-12)/60)*-5. Determine b, given that 2*b**2 - 10/3*b - 2/3*b**i + 4/3 + 2/3*b**3 = 0.
-2, 1
Let s(x) = 2*x**2 + 12. Let m(z) = z**2 + z + 1. Let h = 32 - 30. Let a(o) = h*s(o) - 28*m(o). Factor a(y).
-4*(y + 1)*(6*y + 1)
Let x(a) be the third derivative of 0*a - 9*a**3 - 15/8*a**4 - 3/40*a**6 + 0 + 4/5*a**5 + 7*a**2. Factor x(f).
-3*(f - 3)**2*(3*f + 2)
Let a(j) be the third derivative of -j**7/525 - j**6/150 + j**5/50 + 2*j**4/15 + 4*j**3/15 - 2*j**2 - 103*j. Suppose a(t) = 0. Calculate t.
-2, -1, 2
Let 0 + 45/4*i**2 - 21/4*i**3 + 3/4*i**4 - 27/4*i = 0. Calculate i.
0, 1, 3
Let t be 0/1*1/3. Find h, given that 5/3*h**2 - 4/3*h - 1/3*h**3 + t = 0.
0, 1, 4
Let s(o) = o**4 - o**3 - o**2 - o + 1. Let i(f) = -12*f**4 + 4*f**3 - f**2 + 15*f + 5. Let l(h) = -2*i(h) - 22*s(h). Factor l(u).
2*(u - 1)*(u + 2)**2*(u + 4)
Let g be -1*((-8)/(-3))/(-2) + 144/(-135). Factor -g*v**3 - 2/15*v**2 + 0 + 0*v - 2/15*v**4.
-2*v**2*(v + 1)**2/15
Factor 4/5*k**2 - 222/5*k - 112/5.
2*(k - 56)*(2*k + 1)/5
Let r(o) be the first derivative of -o**6/24 - o**5/10 + o**4/4 + 2*o**3/3 - 210. Suppose r(f) = 0. Calculate f.
-2, 0, 2
Let 0 - 12/13*c + 2/13*c**4 - 2/13*c**2 + 14/13*c**3 - 2/13*c**5 = 0. Calculate c.
-2, -1, 0, 1, 3
Let n = -7 + 9. Solve 4*z - z**2 + z**n - 6*z**2 + 2*z**2 = 0 for z.
0, 1
Let p(t) = t**3 + 7*t**2 - t - 5. Let k be p(-7). Let u be (8/(-12))/(k/(-9)). Factor u*s**3 - s**4 - 4*s**2 - 3*s + 7*s**2 - 2*s**4.
-3*s*(s - 1)**2*(s + 1)
Let r(s) be the first derivative of -2*s**3/27 - 10*s**2/3 - 18*s - 805. Factor r(z).
-2*(z + 3)*(z + 27)/9
Let j(g) be the second derivative of g**5/130 - 7*g**4/26 + 24*g**3/13 + 432*g**2/13 + 15*g. Factor j(q).
2*(q - 12)**2*(q + 3)/13
Factor 0 + 2/19*b**4 + 0*b - 6/19*b**3 + 4/19*b**2.
2*b**2*(b - 2)*(b - 1)/19
Determine y so that -1/5*y**3 + 0*y + 0 + 13/5*y**2 = 0.
0, 13
Let v = -132 + 137. Let -5*k - 3*k + 5*k**4 - k + k + 3*k**v - 10*k**3 - 20*k**2 = 0. What is k?
-2, -1, -2/3, 0, 2
Let x(p) be the first derivative of p**5/540 + p**4/36 + p**3/6 + 3*p**2/2 - 18. Let b(s) be the second derivative of x(s). Solve b(t) = 0 for t.
-3
Let y(d) = d + 3. Let w be y(-1). Determine x, given that -36*x - 169 + 167 + 3*x**w + 110 = 0.
6
Let x(u) be the first derivative of 10*u**3/3 + 51*u**2 + 20*u + 873. What is j in x(j) = 0?
-10, -1/5
Let j(c) be the third derivative of 0*c + 0*c**3 - 1/24*c**4 + 0 - 16*c**2 + 1/240*c**5. Factor j(p).
p*(p - 4)/4
Let u(p) be the second derivative of -p**7/1260 + p**5/60 - p**4/2 - 16*p. Let q(b) be the third derivative of u(b). Suppose q(t) = 0. What is t?
-1, 1
Factor 180*p + 87/2*p**2 + 182 - 1/2*p**3.
-(p - 91)*(p + 2)**2/2
Suppose 4*n + 3*f - 3 = 0, 0 = 2*n - 7*n - 5*f + 5. Let v be 5*1/45*3*n. Factor v*p + 2/15*p**2 + 0.
2*p**2/15
Let y(f) be the third derivative of 5*f**8/168 - 17*f**7/210 - f**6/20 + f**5/3 - f**4/6 - f**3/2 - f**2 + 52*f. Factor y(a).
(a - 1)**3*(a + 1)*(10*a + 3)
Let g be ((-21)/(-28))/(-8 + 693/84). Factor 1/7*x**4 + 0 + 2/7*x**g + 0*x + 1/7*x**2.
x**2*(x + 1)**2/7
Let f(a) = 7*a**4 + 6*a**3 - 43*a**2 + 30*a. Let v(g) = 15*g**4 + 12*g**3 - 87*g**2 + 60*g. Let z(o) = 9*f(o) - 4*v(o). Factor z(n).
3*n*(n - 2)*(n - 1)*(n + 5)
Let t(l) be the first derivative of -l**4/12 - 8*l**3/9 + l**2/6 + 8*l/3 + 68. Factor t(f).
-(f - 1)*(f + 1)*(f + 8)/3
Let m = 13792 - 68958/5. Factor m*l + 1/5*l**4 - 4/5*l**2 - 2/5*l**3 + 3/5.
(l - 3)*(l - 1)*(l + 1)**2/5
Let v(k) be the third derivative of -k**6/30 - 13*k**5/15 - 11*k**4/3 + 131*k**2. Find a, given that v(a) = 0.
-11, -2, 0
Let n = 8 + -3. Factor 5*b**3 + 5*b**4 - 14*b**4 + n*b**2 - 5*b**5 + 4*b**4.
-5*b**2*(b - 1)*(b + 1)**2
Let h(x) be the third derivative of x**7/6300 + x**6/450 + x**5/100 - 7*x**4/8 + 6*x**2. Let n(d) be the second derivative of h(d). Factor n(i).
2*(i + 1)*(i + 3)/5
Let z(c) = 7*c**3 - 71*c**2 + 9*c + 10. Let h be z(10). Let x(n) be the third derivative of 0*n - 1/32*n**4 + h + 6*n**2 + 0*n**3 - 1/240*n**5. Factor x(w).
-w*(w + 3)/4
Factor -8*t**2 - 56/3 + 340/3*t.
-4*(t - 14)*(6*t - 1)/3
Let p = 40995 - 40993. Factor 2/9*k**p + 0*k + 0 - 1/3*k**3 + 1/9*k**4.
k**2*(k - 2)*(k