 = 7 + -1. Let a be (0 + 2)/8*m. Factor a*n**2 + 1/2*n**4 - 1/2*n - 3/2*n**3 + 0.
n*(n - 1)**3/2
Factor 8/3*f**2 + 2*f - 3 - 2*f**3 + 1/3*f**4.
(f - 3)**2*(f - 1)*(f + 1)/3
Let d(r) be the first derivative of -5*r**3/9 - 17. Factor d(v).
-5*v**2/3
Suppose 3*m - 4*m + 35 = 5*l, -12 = -4*l. Let g be ((-4)/3)/(m/(-6)). Find d such that 2/5*d**2 - g + 0*d = 0.
-1, 1
Let m(i) = i**2 + i - 1. Let t(d) = 12*d**3 - 104*d**2 + 132*d - 48. Let z(g) = 24*m(g) + t(g). Factor z(k).
4*(k - 3)**2*(3*k - 2)
Determine z, given that -48*z + 0*z**5 - 213 - 44*z**2 + 4*z**5 + 12*z**4 - 4*z**3 + 197 = 0.
-2, -1, 2
Let z(t) = t**3 - 4*t**2 - 12*t + 12. Let y be z(6). Suppose 18*n - 177/2*n**3 + 81*n**2 + 45/2*n**4 - y = 0. Calculate n.
-2/5, 1/3, 2
Let l(k) = 34*k**3 + 14*k**2 - 60*k + 54. Let x(z) = -7*z**3 + 9 - 2*z**2 - z**2 + 12*z - 20. Let y(p) = 3*l(p) + 14*x(p). Factor y(u).
4*(u - 1)**2*(u + 2)
Let o(j) be the third derivative of -j**8/2016 + j**7/1260 + j**6/144 + j**5/120 - 10*j**2. Factor o(w).
-w**2*(w - 3)*(w + 1)**2/6
Let a(b) be the first derivative of b**6/21 + 4*b**5/35 + b**4/14 + 9. Suppose a(d) = 0. Calculate d.
-1, 0
Determine b, given that 3/4*b - 1/4*b**2 + 0 = 0.
0, 3
Let p(v) be the second derivative of 5*v - 1/90*v**5 + 1/27*v**4 + 0 - 1/27*v**3 + 0*v**2. Factor p(a).
-2*a*(a - 1)**2/9
Suppose a + a - 22 = 0. Let z = a + -7. Find n, given that -n**3 - 3*n**3 + 3*n**3 - n**z + n**2 - n + 2*n = 0.
-1, 0, 1
Factor -8*j**3 + 5*j**4 - j**4 + 0*j**2 + 4*j**2.
4*j**2*(j - 1)**2
Let d = 2/19 + 0. Let y = 15/38 + d. Factor 0*o**3 + 1/2 - o**2 + 0*o + y*o**4.
(o - 1)**2*(o + 1)**2/2
Let q(f) be the first derivative of -f**4/4 - 4*f**3/3 + 8. Solve q(h) = 0 for h.
-4, 0
Let v(m) be the third derivative of -m**5/180 + m**3/18 + 11*m**2. Let v(h) = 0. Calculate h.
-1, 1
Let h(y) be the first derivative of -2*y**3/3 - 2*y**2 + 6*y - 4. What is n in h(n) = 0?
-3, 1
Let j(u) be the third derivative of u**6/300 - 7*u**5/150 + u**4/4 - 3*u**3/5 - 20*u**2. What is l in j(l) = 0?
1, 3
Suppose -w = 3*w - 8. Suppose -w*p + 23 = 5*s, -16 = p - 2*p - 4*s. Let 24*f**5 - 4*f**4 - 18*f**3 + 2*f + 7*f**4 + 5*f**p = 0. What is f?
-1, -1/3, 0, 1/2
Let t(u) be the second derivative of 0*u**3 - 1/21*u**7 - 3*u - 2/15*u**6 + 0*u**4 + 0*u**2 + 0 - 1/10*u**5. Determine b so that t(b) = 0.
-1, 0
Suppose 4*j + 16 = -4. Let n be (-2)/10 + j/(-25). Find b, given that -1/2*b**2 + n + 1/2*b = 0.
0, 1
Let q = 7 - 5. Suppose -1 + 2*n - 6*n**2 - 4*n + 5*n**q = 0. Calculate n.
-1
Let z = -296/9 - -33. Let o(t) be the second derivative of 1/90*t**6 + t + z*t**3 + 0*t**2 - 1/30*t**5 + 0 - 1/36*t**4. Factor o(c).
c*(c - 2)*(c - 1)*(c + 1)/3
Let w be ((-2)/4)/((-3)/12). Solve -5*j**2 + 12*j - 3*j**2 - 3*j + 2*j**w = 0.
0, 3/2
Let 1/4*r**3 - 1/2*r**2 + 1/4*r + 0 = 0. Calculate r.
0, 1
Let y(g) = 4*g**4 - 13*g**3 - 10*g**2 + 7. Let v(k) = 3*k**4 - 9*k**3 - 7*k**2 + 5. Let o(l) = -7*v(l) + 5*y(l). Suppose o(q) = 0. What is q?
-1, 0
Let w(i) = -6*i**2 + 4*i - 2. Let b be w(2). Let a be 69/21 - b/(-63). Factor 4/5*x + 2*x**2 + 6/5*x**a + 0.
2*x*(x + 1)*(3*x + 2)/5
Let s(n) be the first derivative of 2/3*n**3 + 2*n + 2*n**2 - 8. Factor s(w).
2*(w + 1)**2
Let o = 5 - 5. Determine l, given that 2*l**2 - 4*l + l + o*l - l = 0.
0, 2
What is f in 4 + 4*f**2 + 0*f - 6*f - 10*f + 8 = 0?
1, 3
Let m(i) = -i**2 - i. Let x be m(0). Suppose 3*c + 0*c - 6 = x. Let b**5 - c*b**2 - 2*b**3 + 4*b**2 + 3*b**5 - 2*b**4 - 2*b**5 = 0. Calculate b.
-1, 0, 1
Let y(z) be the third derivative of -z**7/210 + 7*z**6/120 - 2*z**5/15 - 2*z**4/3 + 6*z**2. Find w such that y(w) = 0.
-1, 0, 4
Suppose 0 = -4*x + 10*x - 18. Suppose -10 = x*m + 2*m - 2*f, -f = -5. Factor 1/2*k + 1/2*k**3 + k**2 + m.
k*(k + 1)**2/2
Let u(q) = 2*q**2 + 5*q - 3. Let a be u(-3). Let h(w) be the second derivative of 0 + a*w**2 - w + 1/90*w**6 + 1/36*w**4 - 1/30*w**5 + 0*w**3. Factor h(g).
g**2*(g - 1)**2/3
Factor 2/7*u - 1/7 - 4/7*u**3 + 3/7*u**2 - 4/7*u**4.
-(u + 1)**2*(2*u - 1)**2/7
Let k be ((-1)/(-10))/(2/4). Let h be (-4)/7 - 4/(-7). Find d, given that k*d**3 + 2/5*d**2 + h + 1/5*d = 0.
-1, 0
Let o(j) = -j**2 - j. Let z(g) = 33 - 2*g**2 - 33 - 4*g. Let d(c) = 3*o(c) - z(c). Factor d(l).
-l*(l - 1)
Suppose q - 2 = -2*r, -1 + 3 = -4*r - 5*q. Let 1/6*i**3 + 1/3*i + 0 - 1/2*i**r = 0. Calculate i.
0, 1, 2
Factor 0 + 2/9*i - 2/9*i**2.
-2*i*(i - 1)/9
Let w(k) be the first derivative of k**6/180 - k**5/30 + k**4/12 - 2*k**3/3 + 2. Let p(m) be the third derivative of w(m). Factor p(f).
2*(f - 1)**2
Let n(p) = p**2 + 3. Let q = 2 + -2. Let j be n(q). Solve 37*d**3 + 6*d + 5 - 7*d**j - 3 - 8*d**4 + 2 - 32*d**2 = 0.
-1/4, 1, 2
Suppose h + 39 = 3*o - 2*h, -45 = -5*o + h. Suppose 3*y - 22 = -4*z, 2*z - 6*z + o = -4*y. Let -z*x**2 + x**2 + 0*x + x**3 + 2*x = 0. Calculate x.
0, 1, 2
Let v = 8 + -3. Factor -3*g**3 + 2*g**5 + g**v + 0*g**3 + 6*g**2 - 6*g**4.
3*g**2*(g - 2)*(g - 1)*(g + 1)
Let 201 + 2*t**2 + 10*t + 22*t - 73 = 0. Calculate t.
-8
Let v(u) = 5*u**2 + u**3 + 3 - 5*u**2. Let r be v(0). Factor -11*y**3 + r*y**5 - 5*y**5 + 13*y**3.
-2*y**3*(y - 1)*(y + 1)
Let x(o) be the first derivative of o**3/3 - o**2 - 8*o - 49. Factor x(m).
(m - 4)*(m + 2)
Let b(c) be the second derivative of -3/40*c**5 + 1/3*c**3 + 1/30*c**6 + 0*c**2 - 1/6*c**4 + 0 + 1/84*c**7 - 4*c. Find f, given that b(f) = 0.
-2, 0, 1
Let k(w) be the third derivative of 1/180*w**5 - 7*w**2 - 1/360*w**6 + 1/6*w**3 + 5/72*w**4 + 0 + 0*w. Factor k(m).
-(m - 3)*(m + 1)**2/3
Let z = -350/3 - -117. Factor 0 + r**3 + 2/3*r**2 - z*r.
r*(r + 1)*(3*r - 1)/3
Let s(f) be the third derivative of f**6/240 - f**4/48 - 26*f**2. Factor s(t).
t*(t - 1)*(t + 1)/2
Suppose -2*o = 2*p, -2*o - p - 4*p = -3. Let z be ((-6)/10)/(o/5). What is y in y**z + y + 2*y - 4*y + y**3 - y**5 = 0?
-1, 0, 1
Suppose 112*j - 18 = 106*j. Determine o so that 8/7*o**j + 10/7*o**2 - 2*o - 4/7 = 0.
-2, -1/4, 1
Suppose 3*a + 3*h - 15 = 0, -4*a = 3*h - 20 + 3. Find g such that -2/11*g + 0 - 2/11*g**a = 0.
-1, 0
Factor -3/7*g**4 + 3/7*g**2 + 1/7*g**5 + 1/7*g**3 + 0 - 2/7*g.
g*(g - 2)*(g - 1)**2*(g + 1)/7
Let t be ((-4)/5)/((-14)/35). Factor 0*r**2 - 3*r**2 - 8*r + t*r**2 - 6 - r**2.
-2*(r + 1)*(r + 3)
Let p(o) = 8*o**3 - 11*o**2 + 8*o. Let l(s) = -4*s**3 + 6*s**2 - 4*s. Let d(u) = 5*l(u) + 2*p(u). Let d(i) = 0. What is i?
0, 1
Suppose 0 = 2*t - 4. Let d be (t/(-4))/((-10)/4). Factor -1/5*j - 3/5*j**4 + 3/5*j**2 + d*j**3 + 0.
-j*(j - 1)*(j + 1)*(3*j - 1)/5
Let c(k) be the third derivative of k**8/36 + 29*k**7/630 - 29*k**6/360 - 31*k**5/180 + k**4/72 + k**3/9 - 8*k**2. Solve c(y) = 0 for y.
-1, -2/7, 1/4, 1
Suppose 4*y = 7 + 5. Suppose w - y*w = -4. Factor -5*k - 2 + 0*k**w - k**3 + k**2 - 5*k**2 + 0*k.
-(k + 1)**2*(k + 2)
Suppose b + 5 = 0, -4*b = 6*l - 5*l + 17. Solve -2/7*f**5 + 4/7*f**l + 2/7*f**4 + 2/7 - 2/7*f - 4/7*f**2 = 0.
-1, 1
Factor 2/3*o + 7/3*o**2 + 0.
o*(7*o + 2)/3
Suppose -o = 3*h + 12, -6*h = 2*o - h + 19. Factor 0 - 1/3*c**o + 1/3*c**2 + 1/3*c - 1/3*c**4.
-c*(c - 1)*(c + 1)**2/3
Let i(q) = -3*q**2 - 6*q. Let z(x) = -1. Let y be (-1)/(-2) - 10/(-4). Let a(b) = y*z(b) + i(b). Factor a(w).
-3*(w + 1)**2
Solve 7 + 2 + 10*s**2 - 39*s + 3*s**3 + 12 + 5*s**2 = 0 for s.
-7, 1
Let m(r) be the second derivative of r**8/30240 + r**7/2835 + r**6/810 - 3*r**4/4 + 2*r. Let d(i) be the third derivative of m(i). Factor d(q).
2*q*(q + 2)**2/9
Suppose -5*h + 105 = -0*h + 3*m, 75 = 5*h - 3*m. Let f be (-15)/6*h/(-20). Factor 3/2*g + f*g**2 + 0 + 3/4*g**3.
3*g*(g + 1)*(g + 2)/4
Suppose 0 = h - 5*i, -4*h - 4*i = -i. Suppose 3*n**5 - 3*n**3 - 6*n**5 + h*n**4 + 6*n**4 = 0. Calculate n.
0, 1
Suppose 0 = -2*b + 83 - 83. Factor 3/5*j - 6/5*j**2 + b + 3/5*j**3.
3*j*(j - 1)**2/5
Let g(h) be the first derivative of -4*h**5/15 - 5*h**4/12 - h**3/9 - 43. Factor g(v).
-v**2*(v + 1)*(4*v + 1)/3
Let i(o) = -5*o**4 + 5*o**3 - 10*o**2 + 10*o - 6. Let m(u) = -4*u**4 + 4*u**3 - 9*u**2 + 9*u - 5. Let x(n) = -5*i(n) + 6*m(n). Let x(f) = 0. Calculate f.
-2, 0, 1, 2
Factor -8*b - 16 + 2*b**2 + 2*b - 6*b + 2*b**2.
4*(b - 4)*(b + 1)
Find b such that 0*b + 13*b + 3*b**3 - 12*b**2 - 6 + 2*b = 0.
1, 2
Suppose 0 = -5*i - 25, -5*r - 1 = i - 6. Solve 2 - 4*h**2 + 3*h**2 + h**2 + h - h**r = 0.
-1, 2
Suppose -10*w = -7*w. Let t(l) be the third derivative of 0*l**3 + 1/1