 0.
-2, 0
Suppose 0 = 3*v - 8 - 4. Suppose 0 = 3*w - v*w. Find a, given that 0 + w*a + 0*a**2 - 2/7*a**4 - 2/7*a**3 = 0.
-1, 0
Let h = 77 - 70. Let l(i) be the second derivative of 0*i**4 + 0*i**5 + 0*i**3 + 0*i**2 - 3*i - 1/135*i**6 - 1/189*i**h + 0. Factor l(r).
-2*r**4*(r + 1)/9
Let b(p) = 2*p - 10. Let m be b(7). Find x, given that 2*x**2 - 2 + 3*x + x**2 - m*x = 0.
-2/3, 1
Suppose -3*u - 4*c + c = -18, -u - 14 = -4*c. Suppose 2/7*l**u + 4/7 - 6/7*l = 0. Calculate l.
1, 2
Suppose 14 = 8*n - 2. Factor -2/9 + 0*i + 2/9*i**n.
2*(i - 1)*(i + 1)/9
Let w(z) be the second derivative of -2/3*z**3 - 1/6*z**4 + 1/5*z**5 + 0 + 1/15*z**6 + 0*z**2 + 5*z. Factor w(n).
2*n*(n - 1)*(n + 1)*(n + 2)
Let z = 118 - 471/4. Factor g**2 - z*g + 0.
g*(4*g - 1)/4
Let i(f) = 2*f**3 - 16*f**2 + 2*f - 16. Let k be i(8). Factor 1/2*p**2 + k*p - p**3 + 1/2*p**4 + 0.
p**2*(p - 1)**2/2
Determine q, given that 4*q + 4/9 + 9*q**2 = 0.
-2/9
Let q(z) be the first derivative of z**4 - 2*z**2 - 2. Factor q(p).
4*p*(p - 1)*(p + 1)
Suppose 4*k + 14 = -5*p + 17, -4 = 4*p. Suppose -21/2*f**5 + 99/2*f**4 + 18*f**k + 12*f - 69*f**3 + 0 = 0. Calculate f.
-2/7, 0, 1, 2
Let d = 1353/7 + -193. Let m(s) be the first derivative of 2 + 4/7*s**2 + 8/7*s - 2/7*s**3 - 2/35*s**5 - d*s**4. Find y such that m(y) = 0.
-2, -1, 1
Let u(r) be the second derivative of 0*r**2 - 3/10*r**5 + 0 - 2/15*r**6 - 1/6*r**3 - 1/42*r**7 + 3*r - 1/3*r**4. Factor u(c).
-c*(c + 1)**4
Let a = 42/19 - 50/57. Let -a - 2*m**2 + 10/3*m = 0. Calculate m.
2/3, 1
Let s = 10 + -8. Let -6 + 4*v**2 - 5*v**2 + 3*v + 4*v**s = 0. Calculate v.
-2, 1
Let x be ((-3)/(-2))/(3/6). Factor -x*n**2 - 3*n**4 + n + 3*n - 2*n + 4*n**4.
n*(n - 1)**2*(n + 2)
Let s be (-3)/(0 + (-9)/6). Factor 0*j**s + 3*j**2 - 2*j**2 + 5*j - 2 - 5*j**2 + j**3.
(j - 2)*(j - 1)**2
Suppose 0 = 6*x - x + 25. Let n = -2 - x. Factor -1/4*r**3 + 3/2*r**2 + 2 - n*r.
-(r - 2)**3/4
Let a be (50/8 - 1) + (-6)/24. Let u(f) be the second derivative of 0 + 0*f**2 - 1/42*f**4 + 0*f**3 - f + 1/70*f**a. Solve u(g) = 0 for g.
0, 1
Let q = 0 - -3. Let v = -8/3 + q. Determine b, given that 3*b**3 - v + 3*b**2 - 1/3*b = 0.
-1, -1/3, 1/3
Let k(h) be the third derivative of h**6/60 + h**5/120 - h**4/12 - h**3/12 - 3*h**2. Factor k(i).
(i - 1)*(i + 1)*(4*i + 1)/2
Let f(u) be the third derivative of 0*u + 1/2*u**4 - 1/5*u**5 + 0 + 7*u**2 + 1/30*u**6 - 2/3*u**3. Factor f(z).
4*(z - 1)**3
Determine l, given that -58/7*l - 20/7 + 2/7*l**4 - 54/7*l**2 - 2*l**3 = 0.
-1, 10
Suppose 0 = a - d - 7, -2*a - 3*d + 0 = 6. Let s = 4 + -2. Factor 7 + 7*j - 6*j**4 + 6*j**a + 24*j**2 + 14*j - 1 - s*j**5 - j**5.
-3*(j - 2)*(j + 1)**4
Let z(b) be the first derivative of -3 + 0*b + 1/9*b**3 + 0*b**2. Suppose z(h) = 0. What is h?
0
Let y be -1*(-21)/42*(1 - 1). Find g, given that 1/2*g**2 + y - 1/2*g = 0.
0, 1
Let z(s) be the second derivative of -s**4/4 - 5*s**3/2 + 5*s. Solve z(i) = 0 for i.
-5, 0
Factor -1/4*i**2 - 11/2*i - 121/4.
-(i + 11)**2/4
Let r be -18*2/(-16)*4/18. Solve 1/4*i**4 + r - 1/4*i - 3/4*i**2 + 1/4*i**3 = 0.
-2, -1, 1
Let o be (22 + -23)/(-1 - 2/(-4)). Determine a, given that -2/7*a**o + 0 + 0*a = 0.
0
Let p(c) = -c + 8. Let x be p(8). Determine w so that x*w + 2/11*w**2 + 0 = 0.
0
Let n(c) = 5*c**4 + 5*c**3 - 5*c**2 - 5*c - 7. Let j(y) = 5*y**4 + 5*y**3 - 5*y**2 - 5*y - 6. Let z(l) = 7*j(l) - 6*n(l). What is s in z(s) = 0?
-1, 0, 1
Suppose -4 = -3*o + o. Let k be (-3)/((-9)/6)*o. Solve 4/3*c**2 - 4/3*c**k + 0 + 10/3*c**3 + 0*c - 10/3*c**5 = 0.
-1, -2/5, 0, 1
Suppose -3*h = -7*h - 524. Let n = 1181/9 + h. Determine g so that 8/9*g**4 + n*g + 2/9*g**5 + 4/3*g**3 + 0 + 8/9*g**2 = 0.
-1, 0
Let k(x) = -173*x**3 + 176*x**2 + 288*x + 64. Let w(r) = -86*r**3 + 88*r**2 + 144*r + 32. Let m(u) = -2*k(u) + 5*w(u). Factor m(g).
-4*(g - 2)*(3*g + 2)*(7*g + 2)
Factor 10/3*r**2 + 4/3*r - 2*r**3 + 0.
-2*r*(r - 2)*(3*r + 1)/3
Factor 8/5 + 26/5*v**2 - 24/5*v + 2/5*v**4 - 12/5*v**3.
2*(v - 2)**2*(v - 1)**2/5
Suppose 2*d + 15 = 3*k - d, -k - 2*d = 1. Suppose -m**4 + m**3 + 0*m - m**k + 16 - 16*m + 4*m**3 = 0. Calculate m.
-2, 2
Let a(g) be the first derivative of 5*g**3/3 + 10*g**2 + 20*g - 15. Factor a(d).
5*(d + 2)**2
Let c = -11 - -14. Determine w so that -15*w**4 + 5*w**4 - 1 + 5 + w**c + 22*w**2 + 5*w**2 + 20*w = 0.
-1, -1/2, -2/5, 2
Suppose 2*y - 3 = 3. Let v be 0/(1 + y*-1). Factor -2*i**2 + 0*i**2 + v*i - 4*i - 2.
-2*(i + 1)**2
Let x(l) be the second derivative of -l**6/120 - 3*l**5/80 - l**4/24 + 2*l - 12. Factor x(o).
-o**2*(o + 1)*(o + 2)/4
Find x, given that -16/7*x**2 - 9/7 + 24/7*x = 0.
3/4
Factor 1/6*g**5 - 1/3*g**4 - 1/6*g**3 + 0*g + 1/3*g**2 + 0.
g**2*(g - 2)*(g - 1)*(g + 1)/6
Let p(d) be the first derivative of -d**7/168 + d**6/180 + d**5/24 - d**4/12 + d**3/3 - 1. Let t(y) be the third derivative of p(y). Factor t(s).
-(s - 1)*(s + 1)*(5*s - 2)
Factor -5*n**3 + 6 - 3*n**3 + 9*n + 4*n**3 + n**3.
-3*(n - 2)*(n + 1)**2
Let v(n) be the second derivative of 0*n**2 + 1/40*n**5 + 0 + 1/3*n**3 - 1/6*n**4 + 9*n. Factor v(l).
l*(l - 2)**2/2
Suppose -7*m = -5*m - 4. Let b(t) be the second derivative of m*t + 0*t**2 + 0 + 1/30*t**4 + 1/15*t**3. Suppose b(w) = 0. What is w?
-1, 0
Let q(k) be the third derivative of -k**5/150 - k**4/12 + 24*k**2. Solve q(h) = 0.
-5, 0
Suppose 5*z = -5*q + 4*q + 27, z - 1 = 2*q. Factor -8*n - n + 2*n**2 - 4*n**q + n - 8.
-2*(n + 2)**2
Let s(o) be the second derivative of 3*o**5/70 - o**4/21 - o**3/21 + 8*o. Let s(m) = 0. What is m?
-1/3, 0, 1
Let w(f) = f. Let r(u) = 5*u + 11. Let g(o) = -r(o) + 4*w(o). Let s be g(-13). Factor 0*d + 0 - 1/5*d**3 + 2/5*d**s.
-d**2*(d - 2)/5
Factor -6*l**2 - 4*l**3 - 7*l - 5*l - 10*l**2.
-4*l*(l + 1)*(l + 3)
Let v(l) be the first derivative of l**4/6 + 8*l**3/9 + 5*l**2/3 + 4*l/3 + 4. Solve v(x) = 0.
-2, -1
Let q(w) = w**2 - w. Let g(p) = p**2 + 2*p - 4. Let y(f) = 2*g(f) - 4*q(f). Factor y(u).
-2*(u - 2)**2
Let l(j) = -j**3 - 9*j**2 - 8*j + 2. Let d be l(-8). Find p such that d*p**2 + 4*p - 3*p - 6 + 3*p = 0.
-3, 1
Let s be (-2)/10*3*(-2)/3. Let -4/5*i**3 + 2/5*i**4 + 0*i + s*i**2 + 0 = 0. Calculate i.
0, 1
Let p(o) be the first derivative of 2*o**5/45 + o**4/9 + 2*o**3/27 + 1. Suppose p(s) = 0. Calculate s.
-1, 0
Let y(c) be the third derivative of -c**7/630 + c**5/60 + c**4/36 + c**2. Factor y(d).
-d*(d - 2)*(d + 1)**2/3
Let v = -44 + 617/14. Let l(s) be the first derivative of 4/7*s + 8/21*s**3 + v*s**4 + 5/7*s**2 - 2. Factor l(y).
2*(y + 1)**2*(y + 2)/7
Let a be -3 + 7 + ((-15)/(-5) - 4). Factor -1/3*c**a + 2/3*c + 1/3*c**2 + 0.
-c*(c - 2)*(c + 1)/3
Let o be (2/35)/((-12)/(-60)). Determine w so that -2/7*w**3 - o*w**2 + 2/7*w**4 + 2/7*w + 0 = 0.
-1, 0, 1
Let i = 181 + -899/5. Let -i - 2/5*t**2 - 8/5*t = 0. Calculate t.
-3, -1
Factor 5*k**3 + 6*k**3 + k**3 - 3 - 18*k**2 - 3*k**4 + 12*k.
-3*(k - 1)**4
Suppose 2*j - 2 = 2. Let g(q) be the first derivative of -2/7*q - 2/7*q**2 + j - 2/21*q**3. Factor g(r).
-2*(r + 1)**2/7
Suppose -2 = p - 2*h + 4*h, -8 = -3*p + h. Let 0*a**3 - 6*a**3 + 6*a - 2*a**4 + 3*a**2 + a**4 - p*a**4 = 0. Calculate a.
-2, -1, 0, 1
Let b(i) be the first derivative of 5*i**6/18 - 5*i**4/6 + 5*i**2/6 - 15. Factor b(p).
5*p*(p - 1)**2*(p + 1)**2/3
Let f(z) be the first derivative of 1/4*z**2 - 1 + 0*z - 1/6*z**3. Suppose f(r) = 0. What is r?
0, 1
Suppose 0 = 4*d - 16, 3*h - 9 = -2*d - 1. Suppose -3*y + 6 = -h*y. Factor 11/4*l**y + 0 + 1/2*l + 4*l**3 + 7/4*l**4.
l*(l + 1)**2*(7*l + 2)/4
Let x(c) be the third derivative of c**6/840 + c**5/105 - 15*c**2. Determine t so that x(t) = 0.
-4, 0
Let k = -101/2 + 497/6. Let u be 88/3 - 10/(-5). Determine j, given that u*j**2 + 8/3 + 16*j**4 - 44/3*j - k*j**3 - 3*j**5 = 0.
2/3, 1, 2
Let s be ((-8)/28)/(1/(-7)). Factor 2*u**2 - s + 0 - 5*u + 5*u**3 - 1 + 1.
(u - 1)*(u + 1)*(5*u + 2)
Let s(o) = o**2 + 2*o + 2. Let i be s(0). Factor -1/3*c**i + 0 - 1/3*c**3 + 2/3*c.
-c*(c - 1)*(c + 2)/3
Suppose -2*y = 4*h + h + 11, h + 3*y = -10. Let t be 6 + h + (-1)/1. Factor 7*s**2 - 5*s**2 - 7*s**3 + 16*s + t + 3*s**2.
-(s - 2)*(s + 1)*(7*s + 2)
Let k = 0 - -5. Let x(v) be the second derivative of -1/10*v**k - 1/2*v**2 - 5/12*v**4 + 0 - 5/84*v**7 + 1/5*v**6 + 3/4*v**3 + v. Solve x(s) = 0 for s.
-1, 2/5, 1
Determine b so that -2/5*b**3 + 6/5*b + 0*b**2 - 4/5 = 0.
-2, 1
Let d(f) be the f