/12 - f**3 - 9*f**2/4 + 7*f - 1. Suppose b(o) = 0. Calculate o.
-1, 3
Let f be ((-1)/1)/(2/6). Let s be ((-42)/91)/(f/2). Factor 4/13*m**2 + 2/13*m**5 + s*m**3 + 2/13 - 6/13*m**4 - 6/13*m.
2*(m - 1)**4*(m + 1)/13
Let p be 24/18 - (-8)/(-6). Let s(g) be the third derivative of -1/9*g**4 - 1/90*g**6 + 3*g**2 + p*g + 1/18*g**5 + 0 + 1/9*g**3. Factor s(k).
-2*(k - 1)**2*(2*k - 1)/3
Suppose -5*o - 1 = -o + 3*v, -7 = -5*o - v. Factor 1 - 3*m**4 - m**o + m**5 - 1 + 5*m**2.
m**2*(m - 2)**2*(m + 1)
Let a(k) be the third derivative of k**8/840 - k**6/180 + k**3/2 + k**2. Let n(s) be the first derivative of a(s). Factor n(o).
2*o**2*(o - 1)*(o + 1)
Let 2*z**2 - 3*z**3 + 8*z + 5*z**3 + 4*z**2 - 4*z = 0. Calculate z.
-2, -1, 0
Let g(a) = -a**3 - 6*a**2 + a + 8. Let n be 1 - 7*(2 + -1). Let k be g(n). Factor f - 2*f**k + f**2 + 3*f**2 + f.
2*f*(f + 1)
Let z(k) be the second derivative of -2*k - 1/15*k**3 + 0*k**2 + 0*k**6 + 1/25*k**5 + 0*k**4 + 0 - 1/105*k**7. Factor z(m).
-2*m*(m - 1)**2*(m + 1)**2/5
Let m = -2 + 6. Find f such that -8 + f - f**3 - f**m + 8 + f**2 = 0.
-1, 0, 1
Suppose -3*z + d = -6, -z + 2*z + d = 2. Let m(r) = -4*r**2 - 7*r. Let q = 6 - 9. Let x(y) = -4*y**2 - 7*y - 1. Let k(s) = q*m(s) + z*x(s). Factor k(i).
(i + 2)*(4*i - 1)
Suppose 16*v = 21*v. Suppose v = -5*i + i. Suppose -2/7*t**2 + 0 + i*t = 0. Calculate t.
0
Factor 4/5*s - 2/5*s**2 - 2/5.
-2*(s - 1)**2/5
Suppose 0 = -y + 15 - 0. Suppose -v - 5 = -3*n, n = -0*v + 3*v + y. Let 2/7*d**3 + 0*d**4 + n*d**2 + 0*d - 2/7*d**5 + 0 = 0. What is d?
-1, 0, 1
Let h(r) be the third derivative of -r**7/1260 + r**6/540 - r**3/2 + 3*r**2. Let c(b) be the first derivative of h(b). Factor c(t).
-2*t**2*(t - 1)/3
Let j be (9/(-12))/(-5 - (-114)/48). Factor 2/7*a + j*a**4 + 6/7*a**2 + 0 + 6/7*a**3.
2*a*(a + 1)**3/7
Factor 4*r**4 - 6*r**3 + 4*r**2 - 2*r**4 + 8*r - 4*r**2.
2*r*(r - 2)**2*(r + 1)
Let s(o) be the second derivative of 0*o**3 + 0*o**5 + 1/6*o**2 - 4*o + 1/90*o**6 + 0 - 1/18*o**4. Suppose s(g) = 0. What is g?
-1, 1
Suppose -162 - 36*i + 41*i**2 - 117*i**2 + 39*i**2 + 35*i**2 = 0. Calculate i.
-9
Suppose 0 = -4*f + 42 - 86. Let m = 101/9 + f. Factor 10/9*w - m*w**2 - 4/9 - 4/9*w**3.
-2*(w - 1)*(w + 2)*(2*w - 1)/9
Let l = -13 - -15. Let a = -41/2 - -21. Let -a*n**l + n - 1/2 = 0. Calculate n.
1
Suppose -5*u = -33 + 3. Solve 2*a**2 + a + u*a - 5*a = 0.
-1, 0
What is h in 1 + 7*h**2 - 8*h**2 + 0*h**2 = 0?
-1, 1
Let w(k) be the first derivative of k**8/840 + k**7/210 - 7*k**3/3 + 4. Let r(g) be the third derivative of w(g). Solve r(q) = 0 for q.
-2, 0
Let y be (-36)/(-20) - (-1)/5. Suppose -3*c + 0*c + y*w = 10, 0 = -c - 5*w + 25. Factor c + 4/3*g + 4*g**2 + 5/3*g**3.
g*(g + 2)*(5*g + 2)/3
Let c(b) = -9*b**3 - 7*b**2 - 8*b. Let r(k) = 26*k**3 + 22*k**2 + 24*k. Let l(f) = -14*c(f) - 5*r(f). Factor l(z).
-4*z*(z + 1)*(z + 2)
Factor 50*n**3 + 12*n**4 + 12*n + 12*n**4 + 40*n**2 - 2*n**3 + 4*n**5.
4*n*(n + 1)**3*(n + 3)
Factor 19 - 5*j**2 + 23 + 14 + 9 + 60*j.
-5*(j - 13)*(j + 1)
Let a(r) be the first derivative of -2*r**6/15 - 4*r**5/25 + 9*r**4/5 - 44*r**3/15 + 8*r**2/5 + 23. Factor a(x).
-4*x*(x - 1)**3*(x + 4)/5
Let x = -14 - -18. Factor -6*k**2 - 4*k**4 + 5*k**4 + 3*k**3 + 0*k**2 + 2*k**x.
3*k**2*(k - 1)*(k + 2)
Let q(d) be the third derivative of d**7/1470 + d**6/280 - d**4/42 - 8*d**2. Determine m so that q(m) = 0.
-2, 0, 1
Let l(n) = 3*n**2 + 4*n. Let f(w) = -6*w**2 - 9*w. Let a(m) = m**3 - 7*m**2 + 7*m + 3. Let z be a(6). Let c(d) = z*l(d) + 4*f(d). Suppose c(i) = 0. Calculate i.
0
Let x(k) = -10*k**2 - 4*k - 10. Let o be x(-11). Let u = 3592/3 + o. Suppose -98/3*r**3 + 154/3*r**2 - u*r + 8/3 = 0. What is r?
2/7, 1
Factor -8*k + 4*k**2 + 10*k - k - 4*k - k**3.
-k*(k - 3)*(k - 1)
What is g in -2/7*g + 2/7*g**3 + 4/7 - 4/7*g**2 = 0?
-1, 1, 2
Factor -3*k**2 - 2*k**2 + 2*k**2 + 2*k**2 + k.
-k*(k - 1)
Let p be 2 + 2 + -1 + -1. Suppose -4*y + 5*b = -p*y - 9, -y - 5*b - 3 = 0. Factor 3*g**2 - y*g**3 - 2*g**2 + 8*g**4 - 7*g**4.
g**2*(g - 1)**2
Let d(c) = -6*c**2 + c + 18. Let z be d(0). Factor -z*l**2 - 15/2*l**3 + 0 - 6*l.
-3*l*(l + 2)*(5*l + 2)/2
Let q be (-5 - -6)/(6/4 + -1). Let 0*r**q + 0*r + 0 - 1/4*r**3 = 0. Calculate r.
0
Factor -r + 1/2*r**2 - 3/2.
(r - 3)*(r + 1)/2
Suppose n - 4*f - 20 = 15, 5*n = 4*f + 95. Let j be (-1 - -2)/(5/n). Find y, given that -2*y - 4*y**j + 2*y**3 + 0*y**3 - 4*y**2 = 0.
-1, 0
Let s = 21 - 18. Suppose 0 = -2*o - s*t + 9, -3*o = -2*o + 3*t - 6. What is p in 2/7*p + 2/7*p**4 + 0 - 2/7*p**o - 2/7*p**2 = 0?
-1, 0, 1
Let o(q) = -1. Let r(a) = 4 - 11 - a**2 + 2*a + 4. Let z(b) = 4*o(b) - 2*r(b). Factor z(t).
2*(t - 1)**2
Let i = -5 - -5. Let m = i + 2. Factor 12*c**3 - 2*c**4 + 0*c**4 - 15*c**m + 6*c - c**4.
-3*c*(c - 2)*(c - 1)**2
Let p(f) = 4*f - 5 - 2*f**3 + 3*f**3 - 11*f**2 + 16*f**2. Let n(y) = y**3 + 3*y**2 + 2*y - 3. Let z(q) = 5*n(q) - 3*p(q). Solve z(c) = 0 for c.
-1, 0, 1
Let -30*f**2 + 2*f**3 + 6*f**3 + 10*f**2 + 4*f - 2*f**4 + 10*f**2 = 0. What is f?
0, 1, 2
Let u(n) = 2*n**4 + 21*n**3 + 10*n**2 + 17*n - 13. Let y(h) = -h**4 - 10*h**3 - 5*h**2 - 8*h + 6. Let z(i) = 6*u(i) + 13*y(i). Factor z(q).
-q*(q + 1)**2*(q + 2)
Let u(z) be the second derivative of 0*z**2 + 1/42*z**4 + 1/21*z**3 + 0 + 2*z. Suppose u(b) = 0. Calculate b.
-1, 0
Let o(w) be the third derivative of 0*w + 7*w**2 + 0*w**3 + 0 + 1/30*w**5 - 1/24*w**4 - 1/120*w**6. Determine u, given that o(u) = 0.
0, 1
Let f = 1/282 + 43/1128. Let c(y) be the third derivative of -1/32*y**4 + 0 + 0*y - 1/480*y**6 - 2*y**2 + f*y**3 + 1/80*y**5. Let c(s) = 0. What is s?
1
Let q(y) be the third derivative of -y**8/3192 + y**7/285 - 3*y**6/190 + 2*y**5/57 - 2*y**4/57 + 2*y**2 + 4*y. Factor q(n).
-2*n*(n - 2)**3*(n - 1)/19
Suppose -12*g**2 - 8 + 12*g + 4*g**3 + 0*g**3 - g**4 - 32*g + 5*g**4 = 0. Calculate g.
-1, 2
Let i(y) be the third derivative of -y**8/84 + 4*y**7/105 - 2*y**5/15 + y**4/6 - 9*y**2. Factor i(d).
-4*d*(d - 1)**3*(d + 1)
Factor 1/6*i**2 - 1/6*i - 1/3.
(i - 2)*(i + 1)/6
Let d(f) = f**2. Let w be d(-1). Let x be w*(4/1 - 2). Determine a, given that 4/3 + 16/3*a**2 - 14/3*a - x*a**3 = 0.
2/3, 1
Let w(m) = 2*m**2 - 12*m + 10. Let t be w(5). Let h(i) be the first derivative of 0*i**4 - 1/3*i**6 + 4/5*i**5 + t*i + i**2 - 4/3*i**3 + 1. Solve h(k) = 0.
-1, 0, 1
Let j = 15 - 43/3. Let p = -5 - -8. Factor -1/3*i**2 + 0*i + 0 + j*i**p - 1/3*i**4.
-i**2*(i - 1)**2/3
Let l = -1/120 + 2/15. Let p(q) be the third derivative of -l*q**4 + 0*q**3 + 0 - 4*q**2 + 1/40*q**6 + 0*q + 0*q**5. Factor p(z).
3*z*(z - 1)*(z + 1)
Let w be 24/40 - (-23)/(-5). Let o be (-2)/w*1*0. Factor 1/2*a**4 + o - 1/2*a**2 - 1/2*a**3 + 1/2*a.
a*(a - 1)**2*(a + 1)/2
Let w = 225 + -223. What is s in 8/7*s - 2/7*s**w - 8/7 = 0?
2
Let u(w) be the second derivative of 0 + 2/7*w**3 - 9/7*w**2 + 4*w - 1/42*w**4. Factor u(y).
-2*(y - 3)**2/7
Let a(g) = -g**3 + 7*g**2 - 6*g + 4. Let h be a(6). Factor 1/6*d**h + 1/6 + 0*d + 0*d**3 - 1/3*d**2.
(d - 1)**2*(d + 1)**2/6
Let b(p) be the third derivative of 9*p**5/5 - 15*p**4/2 + 25*p**3/2 - 21*p**2. Let b(w) = 0. Calculate w.
5/6
Let i(h) be the third derivative of h**6/180 - h**5/45 - 6*h**2. Suppose i(j) = 0. What is j?
0, 2
Suppose -5*l + 2*r + 8 = 6, r + 1 = -5*l. Factor l*j**2 + 4/11*j**4 + 0 + 0*j + 2/11*j**5 + 2/11*j**3.
2*j**3*(j + 1)**2/11
Let b(s) be the second derivative of s**5/10 + 2*s**4/3 + 5*s**3/3 + 2*s**2 + 5*s. Suppose b(z) = 0. What is z?
-2, -1
Let f be 0/(-1*(-1 - 1)). Let y(w) = w**2 + 16*w + 41. Let k be y(-13). Factor -6*i**k + 3*i**2 + f*i**2 + 3.
-3*(i - 1)*(i + 1)
Let m(f) be the third derivative of 0 + 0*f**4 - 1/15*f**6 + 1/35*f**7 - 8*f**2 + 1/30*f**5 + 0*f**3 + 0*f. Factor m(t).
2*t**2*(t - 1)*(3*t - 1)
Suppose -w - 5 = -13. Let q = w - 2. Factor 4 + s + s + 4*s**2 - q*s**2.
-2*(s - 2)*(s + 1)
Let g = -2 - -4. Determine h, given that 3*h + h**g - h + 2*h - 1 + 5 = 0.
-2
Let i(o) be the second derivative of o**6/1080 + o**5/45 + 2*o**4/9 + o**3/6 - 7*o. Let k(v) be the second derivative of i(v). Factor k(d).
(d + 4)**2/3
Suppose -2*q = -2*i + 2*q - 8, 5*q = 4*i + 7. Solve 2*l**2 - 1 - 2*l**2 + l**i = 0 for l.
-1, 1
Let k be ((-14)/147)/2*3*-9. Determine o, given that -6/7*o - k*o**2 + 3/7 = 0.
-1, 1/3
Let x(u) be the first derivative of 6 + 1/6*u**2 + 0*u + 1/12*u**4 + 2