)/3
Let y(x) = x**3 + x**2 + x - 3. Let u be y(0). Let s be (8/10)/(u/(-15)). Find r such that 1 - 2*r - 5*r**2 + 6*r**3 + 1 + s*r - 5*r**2 = 0.
-1/3, 1
Let s be (198/(-63) + 4)/(9/14). Determine u so that -8/3 + 4*u + s*u**4 + 4/3*u**2 - 4*u**3 = 0.
-1, 1, 2
Suppose 0*u + 5*u = 15. Suppose -1/2*d**u - 1/2*d - d**2 + 0 = 0. Calculate d.
-1, 0
Let u(o) be the second derivative of -o**6/120 + o**4/12 - 41*o. Factor u(y).
-y**2*(y - 2)*(y + 2)/4
Let f(v) = -v**2 + 3*v - 1. Suppose 0 + 2 = y. Let h be f(y). Determine r so that -h + r**2 + 2*r**2 - 2*r**2 = 0.
-1, 1
Let r(w) = -2*w**2 + 11*w. Let s(q) be the second derivative of -q**4/12 + 5*q**3/6 + 3*q. Let g(o) = 4*r(o) - 9*s(o). Solve g(h) = 0.
0, 1
Factor 0 - 2/3*x**2 + 4*x.
-2*x*(x - 6)/3
Let z = 15 - 179/12. Let j(v) be the third derivative of 3*v**2 + 0 + 1/240*v**5 - 1/96*v**4 - z*v**3 + 0*v. Solve j(o) = 0.
-1, 2
Let w be 0/((-9)/(-3)*-1). Suppose 3*s - 9 = -w*s. Suppose -2/5*k - 2/5 + 6/5*k**2 + 2*k**s + 4/5*k**4 = 0. Calculate k.
-1, 1/2
Determine h, given that 8*h - 5*h**2 + 21*h**3 - 3*h**2 - 19*h**3 = 0.
0, 2
Let j(m) be the third derivative of -2*m**7/315 + m**6/90 + m**5/15 - m**4/18 - 4*m**3/9 + 3*m**2 + 16. Let j(g) = 0. Calculate g.
-1, 1, 2
Let x(j) be the third derivative of j**8/1344 - j**7/210 + j**6/480 + j**5/40 + 36*j**2. Let x(o) = 0. What is o?
-1, 0, 2, 3
Let r = -21 + 30. Suppose 25 = 4*d + r. Factor -g - 4*g**d + g + 2*g**5 + 2*g**4.
2*g**4*(g - 1)
Let i(t) be the second derivative of 1/105*t**7 + 0 - 8/15*t**4 - 2/5*t**2 + 3/5*t**3 - 2/25*t**6 - 7*t + 7/25*t**5. Determine m, given that i(m) = 0.
1, 2
Suppose -3*c + 5*m + 11 = 0, -5*m = c + 4 - 1. Find t such that c*t**5 + 24*t**2 + 18*t**3 - 10*t**2 + 10*t**4 + 4*t + 0*t**5 = 0.
-2, -1, 0
Factor 35*z - 6*z**2 - 2*z**3 + 38*z - 65*z.
-2*z*(z - 1)*(z + 4)
Let f be ((-1)/13)/((-3)/24*4). Solve -f*i**2 + 0 + 4/13*i = 0.
0, 2
Let k(d) be the first derivative of d**4/2 + 5*d**3/6 - 7*d**2/4 - d + 4. Suppose k(m) = 0. What is m?
-2, -1/4, 1
Let f = -4099/20 - -205. Let s(q) be the second derivative of 1/2*q**3 - 1/2*q**2 + f*q**5 + 0 - 1/4*q**4 + q. Find k such that s(k) = 0.
1
Let f(h) be the second derivative of -h**5/50 - h**4/10 + 3*h**3/5 - h**2 + 36*h. Solve f(k) = 0.
-5, 1
Let n = 37/2 - 73/4. Factor -1/4*g + 0 + n*g**3 + 0*g**2.
g*(g - 1)*(g + 1)/4
Find q, given that 1/2*q**3 + 5/8*q - 1/8 - q**2 = 0.
1/2, 1
Let l = -1 - -1. Let f = -38 + 38. Determine j, given that 2/3*j**4 + 10/9*j**3 + 4/9*j**2 + l*j + f = 0.
-1, -2/3, 0
Factor 1/3*b**4 - 1/3*b**2 - 2/3*b + 0 + 2/3*b**3.
b*(b - 1)*(b + 1)*(b + 2)/3
Let v(i) be the first derivative of i**8/1680 - i**7/210 + i**6/120 + i**5/30 - i**4/6 + i**3/3 + 2. Let w(d) be the third derivative of v(d). Factor w(r).
(r - 2)**2*(r - 1)*(r + 1)
Let m(x) be the second derivative of -x**5/140 + x**4/7 - 8*x**3/7 + 32*x**2/7 + 2*x - 12. Let m(d) = 0. What is d?
4
Suppose -2*f = 4*v + 1 - 5, 5*f + 35 = 5*v. Factor -27/2*l - 33/2*l**2 + v.
-3*(l + 1)*(11*l - 2)/2
Let h(n) = -8*n**2 - 4*n - 4. Let a(y) = y**2. Let w(z) = -14*a(z) - 2*h(z). Factor w(b).
2*(b + 2)**2
Let -18*g**4 - 32/9 + 48*g**3 + 64/3*g - 48*g**2 = 0. Calculate g.
2/3
Let g(q) = -15*q**5 - 12*q**4 - q**3 - 6*q. Suppose -3*s = -6 + 24. Let h(i) = 14*i**5 + 11*i**4 + i**3 + 5*i. Let z(y) = s*h(y) - 5*g(y). Factor z(f).
-f**3*(3*f + 1)**2
Let f be (-3)/(-14) - 2/(-7). Let o = 0 - -1/2. Factor -1/4*x**5 - 1/4 - f*x**3 - o*x**2 + 3/4*x + 3/4*x**4.
-(x - 1)**4*(x + 1)/4
Let d(k) be the second derivative of -k + 1/6*k**3 + 0*k**4 + 1/60*k**5 - 1/180*k**6 + 0 + 0*k**2. Let c(f) be the second derivative of d(f). Factor c(o).
-2*o*(o - 1)
Let r(a) = -9*a - 1. Let g be r(-1). Let w = 11 - g. Factor -w - 4*v**3 + v + 4 + v**5 + 2*v**3 + v**4 - 2*v**2.
(v - 1)**2*(v + 1)**3
Let x(l) be the first derivative of -2*l**3/27 + 2*l**2/3 - 10*l/9 - 47. Solve x(j) = 0.
1, 5
Let a = 14 - 11. Suppose -4*z**2 - z - 12*z**a - z + 2*z = 0. What is z?
-1/3, 0
Let d be ((-138)/(-135) + -1)*49. Let q(p) be the third derivative of -21/5*p**5 - p**2 + 637/180*p**6 + 0*p + 0 + 23/9*p**4 - 8/9*p**3 - d*p**7. Factor q(n).
-2*(n - 1)*(7*n - 2)**3/3
Suppose -6*v = -15*v. Determine y so that 0*y - 1/3*y**2 + 2/3*y**3 + v - 1/3*y**4 = 0.
0, 1
Let v(u) be the second derivative of 2*u - 1/40*u**6 + 1/4*u**3 + 3/8*u**2 + 0 - 3/40*u**5 + 0*u**4. Factor v(k).
-3*(k - 1)*(k + 1)**3/4
Solve -4/3*s**2 + 4/3*s + 0 = 0.
0, 1
Let y(l) be the third derivative of l**9/18144 - l**7/2520 + l**5/720 - 5*l**3/6 - 3*l**2. Let s(k) be the first derivative of y(k). Factor s(u).
u*(u - 1)**2*(u + 1)**2/6
Suppose -4*x = 4*w - 12, -2*x - 2*w = 2*x - 12. Factor 0 + 1/3*o + 2/3*o**2 + 1/3*o**x.
o*(o + 1)**2/3
Let n be (-161)/(-92)*((-2)/(-7) + 0). Determine x so that 1/2*x**3 + 1/2*x**2 - 1/2*x - n*x**4 + 0 = 0.
-1, 0, 1
Let d = 104 + -511/5. Factor -u**3 - d*u**2 - 2/5 - 1/5*u**4 - 7/5*u.
-(u + 1)**3*(u + 2)/5
Factor -2 + 45*f**3 + 5*f**4 + 75*f**2 + 2 - 125*f.
5*f*(f - 1)*(f + 5)**2
Let d = -231 - -695/3. Solve 0*s**2 + d*s**3 + 0 + 0*s = 0.
0
Let b(g) = -g - 4. Let f be b(-6). Determine i so that 6*i**3 - 3*i**3 + i**2 - f*i**3 = 0.
-1, 0
Let q be ((-3)/(-5))/((-7)/(-70)). Factor -q*j**2 - 6*j - 2*j**4 + 5*j**4 - 3*j**2.
3*j*(j - 2)*(j + 1)**2
Let -12*x - 15/2*x**2 + 3/2*x**3 + 18 = 0. What is x?
-2, 1, 6
Determine l, given that 164*l**5 - 431*l**2 + 1167*l**2 - 476*l**4 + 320*l**3 - 448*l - 360*l**5 + 20 + 44 = 0.
-2, 2/7, 1
Let y(a) be the first derivative of -5*a**3/3 + 5*a**2 + 15*a - 12. Find o such that y(o) = 0.
-1, 3
Let s(w) = 4*w**4 + 4*w**3 + 4. Suppose -13*h + 20 = -9*h. Let q(x) = x**5 + 4*x**4 + 5*x**3 + 5. Let t(m) = h*s(m) - 4*q(m). Factor t(b).
-4*b**4*(b - 1)
Let g(l) be the second derivative of l**5/120 - l**4/18 + l**3/12 - 14*l. Factor g(r).
r*(r - 3)*(r - 1)/6
Let a(v) be the first derivative of -v**5/30 + v**3/9 - 3*v + 3. Let c(p) be the first derivative of a(p). Suppose c(d) = 0. Calculate d.
-1, 0, 1
Let a(z) = -z**2 + z + 1. Let v = 4 - 5. Let q(s) = 11*s**2 + 5*s - 5. Let l(j) = v*a(j) - q(j). What is d in l(d) = 0?
-1, 2/5
Let u(l) = l + 1. Let c(k) = -k**2 + 6*k - 9. Let t(v) = 2*c(v) + 4*u(v). Factor t(g).
-2*(g - 7)*(g - 1)
Let 2*g**2 + 0*g**2 - 78*g**3 + 77*g**3 - g**4 = 0. What is g?
-2, 0, 1
Let j = -5/8 + 21/40. Let v = 2/5 - j. Suppose -p**4 + p**2 - 1/2*p**5 + 0*p**3 + 0 + v*p = 0. Calculate p.
-1, 0, 1
Let q(p) be the third derivative of p**7/840 + p**6/240 - p**5/80 - p**4/24 + p**3/6 - 5*p**2. Suppose q(r) = 0. Calculate r.
-2, 1
Suppose 0 = -17*b + 21*b - 16. Let q(i) be the first derivative of 1/16*i**b - 1/4*i**3 + i + 0*i**2 - 2. Determine o, given that q(o) = 0.
-1, 2
Suppose -r - t - 4 = 0, 4*r + 4*t = 8*r - 8. Let n = 3 - r. Factor p**n + p + 0*p - p**2 - 2*p**3 + 3*p**3 - 2*p.
p*(p - 1)*(p + 1)**2
Let s(g) be the second derivative of 0 - 1/5*g**3 - 8*g - 3/10*g**2 - 1/20*g**4. Determine k, given that s(k) = 0.
-1
Let y(z) be the third derivative of z**6/780 - z**5/390 - z**4/39 + 4*z**3/39 - 6*z**2. Solve y(c) = 0 for c.
-2, 1, 2
Let o(i) be the third derivative of -1/40*i**5 - 5/24*i**4 - 2*i**2 + 0 - 1/4*i**3 + 0*i. Factor o(u).
-(u + 3)*(3*u + 1)/2
Solve -2/7*v**3 - 54/7*v - 54/7 - 18/7*v**2 = 0 for v.
-3
Let i(n) = 20*n + 142. Let u be i(-7). Find g, given that 0*g + 0 + 2/3*g**u = 0.
0
Factor -2/7*z**4 + 0*z**3 + 0 + 6/7*z**2 - 4/7*z.
-2*z*(z - 1)**2*(z + 2)/7
Let n(j) be the second derivative of -j**6/70 + 3*j**5/70 - j**4/28 + 8*j. Factor n(x).
-3*x**2*(x - 1)**2/7
Let c(r) be the second derivative of 0*r**2 + 1/20*r**5 - r + 0 + 0*r**3 - 1/12*r**4. Factor c(p).
p**2*(p - 1)
Factor 3/4*x**2 - 1/4*x**3 + 1/4*x - 1/4*x**4 - 1/2.
-(x - 1)**2*(x + 1)*(x + 2)/4
Let l be (2/(-3))/(3/(-9)). Let u(n) be the third derivative of 1/8*n**4 + 0 - 1/6*n**3 - n**l - 1/20*n**5 + 0*n + 1/120*n**6. Factor u(x).
(x - 1)**3
Let y be (912/(-210) - -4)/((-2)/5). Suppose 24/7*p**4 + 0*p - 4/7*p**2 - 2*p**5 + 0 - y*p**3 = 0. What is p?
-2/7, 0, 1
Let z(a) = -6*a**2 - 24*a - 27. Let b(s) = 3*s**2 + 3*s + 13 + 0 + 9*s + 0*s**2. Let x(c) = 9*b(c) + 4*z(c). Factor x(l).
3*(l + 1)*(l + 3)
Let q be ((-4)/10)/((-84)/60). Solve -6/7*h**2 + q*h**3 + 6/7 - 2/7*h = 0.
-1, 1, 3
Let s(o) be the first derivative of 2*o - 1 - 3/2*o**4 + 8/5*o**5 - 10/3*o*