uppose 3*m - w = -0*m. Factor 0 + 0*x**m + 0*x**3 - 2/9*x**4 + 0*x + 2/9*x**5.
2*x**4*(x - 1)/9
Let c = -22 + 23. Let n(z) = -z**3 + z**2 + z - 1. Let i be n(c). What is d in i + 1/2*d**4 + 5/2*d**2 - 2*d**3 - d = 0?
0, 1, 2
Let n(r) = -r**3 - 9*r**2 + r + 11. Let h be n(-9). Factor 6*y**4 + h*y**5 + 3*y**4 + y**5 - 3 + 6*y**3 - 6*y**2 - 9*y.
3*(y - 1)*(y + 1)**4
Let v(p) = -p + 13. Let g be v(11). Let w(r) be the first derivative of -g - 2/9*r**2 - 2/27*r**3 - 2/9*r. Determine q, given that w(q) = 0.
-1
Let q(v) be the first derivative of -v**7/273 + 2*v**6/195 - v**4/39 + v**3/39 + 5*v + 1. Let h(t) be the first derivative of q(t). Find k, given that h(k) = 0.
-1, 0, 1
Factor 0*z**3 - 3*z**4 + 3*z - 3*z**3 + 0*z**3 + 3*z**2.
-3*z*(z - 1)*(z + 1)**2
Let y = -8 + 6. Let g be (-2 + 1)*6/y. Factor s + 3*s**3 - 3*s**2 - s**g + 0*s.
s*(s - 1)*(2*s - 1)
Let f be (-2)/(-1 - (-1)/3). Determine j, given that -j**2 + 0*j**2 - 2*j**3 + j**f = 0.
-1, 0
Let 2/7*l**2 - 6/7*l + 4/7 = 0. What is l?
1, 2
Suppose 0*y = -2*y + 90. Let v be y*-1*(-4)/10. Find u such that -12*u**4 - v*u**3 - 3*u**5 - 3*u + 28 - 28 - 12*u**2 = 0.
-1, 0
Let j(p) be the third derivative of 1/90*p**5 + 0 + 1/27*p**3 - 1/27*p**4 - 5*p**2 + 0*p. Suppose j(m) = 0. Calculate m.
1/3, 1
Let u = -110/3 + 37. Let m = 3/271 - -2701/813. Factor 5/3*r + 1/3*r**5 + 5/3*r**4 + m*r**2 + u + 10/3*r**3.
(r + 1)**5/3
Let n be (4*(-1)/(-14))/((-27)/(-21)). Let z(s) be the first derivative of -1 - n*s**3 - 1/3*s**2 + 0*s. Factor z(v).
-2*v*(v + 1)/3
Let o = -8 + 11. Let h be (-3)/(-1)*(-2)/(-3). What is v in 3*v**4 - 6*v**2 - 4*v + 5*v**4 + 4*v**o - h*v**4 = 0?
-1, -2/3, 0, 1
Suppose -2*f - h = -13, -2*f - f = 5*h - 30. Let i(t) = -t**2 + 5*t + 4. Let w be i(f). Determine r, given that 2*r**2 - r**2 + 2*r**w - 3*r**4 = 0.
-1, 0, 1
Let h(s) be the third derivative of s**5/120 - s**4/48 - 4*s**2 + 3. Solve h(u) = 0 for u.
0, 1
Factor 4/7*s - 1/7*s**2 + 0.
-s*(s - 4)/7
Let p be (42/(-49))/((-1)/(-7)). Let s(v) = -2*v**4 + 7*v**3 + 9*v**2 - 5*v. Let i(t) = -t**4 + 4*t**3 + 5*t**2 - 3*t. Let c(b) = p*s(b) + 10*i(b). Factor c(m).
2*m**2*(m - 2)*(m + 1)
Let m = 5 + -3. Suppose 2*n - 3 = -n. Solve k**5 + 10*k**3 + 5*k**4 - n + 2 + 0*k + 5*k + 10*k**m = 0 for k.
-1
Suppose -w + 13 = 2*b, 1 = -w + 4. Let z(i) be the first derivative of i**2 - 1/2*i**3 - 1/4*i**4 + 1/10*i**b + 2*i - 1. Suppose z(n) = 0. Calculate n.
-1, 2
Let o(g) be the second derivative of -2*g**6/75 + g**5/100 + g**4/15 - g**3/30 + 6*g. Find z, given that o(z) = 0.
-1, 0, 1/4, 1
Suppose s - 51 = -19. Let q = s - 159/5. Factor -q*o**3 + 0 + 0*o**2 + 1/5*o.
-o*(o - 1)*(o + 1)/5
Suppose 0 - 4/15*d**2 + 0*d + 2/15*d**3 = 0. Calculate d.
0, 2
Let -6/7 + 15/7*f**2 - 9/7*f = 0. What is f?
-2/5, 1
Let k(o) be the second derivative of 0*o**3 + 0 + 0*o**5 - 2/135*o**6 + 0*o**2 - 5/189*o**7 + 0*o**4 + 4*o. Determine h so that k(h) = 0.
-2/5, 0
Factor -38 + 8*f**2 + 8*f**2 - 2*f**3 + 6*f**2 - 48*f - 34.
-2*(f - 6)**2*(f + 1)
Let d(a) = 5*a**4 + 25*a**3 - 30*a**2 - 25*a. Let l(x) = x**4 + 4*x**3 - 5*x**2 - 4*x. Let o(m) = 4*d(m) - 25*l(m). Factor o(g).
-5*g**2*(g - 1)*(g + 1)
Let q be (-4 - -5)/((-1)/(-12)). Suppose 3*a - 4*a + 4 = 4*l, -l = 3*a - q. Let -1/4*w + 1/4*w**2 + l = 0. Calculate w.
0, 1
Suppose 0 = f - 5*f + 16. Factor 0*z**2 - 2*z**f + 3*z**4 - z**2 + 0*z**2.
z**2*(z - 1)*(z + 1)
Let k(n) be the second derivative of n**7/56 + n**6/20 + 3*n**5/80 - 13*n. Suppose k(b) = 0. What is b?
-1, 0
Let j(i) be the third derivative of -i**8/26880 + i**7/2240 - i**6/480 - i**5/30 - 2*i**2. Let l(y) be the third derivative of j(y). Factor l(g).
-3*(g - 2)*(g - 1)/4
Suppose 2*c - 12 = -4*v - 0, 0 = 4*c - 3*v + 9. Determine d, given that 0 + 7/4*d**3 - 1/2*d**2 - 7/4*d**5 + 1/2*d**4 + c*d = 0.
-1, 0, 2/7, 1
Let t be ((-51)/12)/(3/(-24)). Let y be ((-2)/(-4))/(3/t). Let -y*d**4 + 7*d**3 + 0 - 11/3*d**2 + 5/3*d**5 + 2/3*d = 0. Calculate d.
0, 2/5, 1
Suppose -3*y - 6 = -4*i + 3, y = -4*i - 3. Let d be y/(-6)*(0 + 1). Find q such that d*q**3 + 0*q - 1/2*q**2 + 0 - 1/2*q**5 + 1/2*q**4 = 0.
-1, 0, 1
Let u = 19226/4005 + -2/4005. Factor 22/5*y**3 - 8/5*y**2 - u*y**4 + 0 + 9/5*y**5 + 1/5*y.
y*(y - 1)**2*(3*y - 1)**2/5
Let x(l) be the first derivative of 2/27*l**3 - 3 + 0*l - 1/9*l**4 + 0*l**2 + 2/45*l**5. Solve x(a) = 0 for a.
0, 1
Let q be 0*(1 - 4 - (-10 - -8)). Solve 2/5*b - 8/5*b**2 + q = 0 for b.
0, 1/4
Suppose -2*s + 15 = s. Let t = 8 - s. Factor 2*g**2 - 2*g**3 + g + 3*g**3 + 3*g**t - 2 - 5*g**3.
-(g - 2)*(g - 1)*(g + 1)
Let z(x) be the first derivative of -x**7/1680 - x**6/360 - x**5/240 - 5*x**3/3 + 1. Let h(y) be the third derivative of z(y). Let h(n) = 0. Calculate n.
-1, 0
Let n(f) be the first derivative of -f**4/22 + 2*f**3/11 - 3*f**2/11 + 2*f/11 + 4. Factor n(u).
-2*(u - 1)**3/11
Let n(i) be the first derivative of 4*i**3/21 + 4*i**2/7 + 4*i/7 + 2. Suppose n(z) = 0. What is z?
-1
Let s be -9 - 1/(-2)*4. Let h = s + 7. What is g in -1/2*g**5 - 1/2*g**3 + 0*g**2 + 0 - g**4 + h*g = 0?
-1, 0
Let j(d) be the third derivative of -d**5/30 + d**4/8 - d**3/6 + 11*d**2. Suppose j(b) = 0. What is b?
1/2, 1
Let c be ((-2)/(-4))/(2/12). Let d be c/5*(1 + 4). Factor -4*z**3 - 3*z**2 + 2*z**d + 4 + z**3.
-(z - 1)*(z + 2)**2
Suppose -12*x - 10 = -14*x. Factor 0 + 2/7*d**2 + 6/7*d**3 + 4/7*d**x - 2/7*d - 10/7*d**4.
2*d*(d - 1)**3*(2*d + 1)/7
Let f(x) be the first derivative of x**6/3 + 8*x**5/5 + 3*x**4/2 - 8*x**3/3 - 4*x**2 - 16. Factor f(n).
2*n*(n - 1)*(n + 1)*(n + 2)**2
Let q(j) be the third derivative of j**8/224 - j**7/70 - j**6/40 + j**5/10 + j**4/16 - j**3/2 + 12*j**2. Suppose q(n) = 0. What is n?
-1, 1, 2
Factor -1/5*x**2 - 4/5 + 4/5*x.
-(x - 2)**2/5
Let g be 4782/504*(-1 + 3). Let j = 119/6 - g. Factor -4/7 - 2/7*k**2 + j*k.
-2*(k - 2)*(k - 1)/7
Suppose 9*l = 12*l - 6. Let j(m) be the second derivative of 1/4*m**l - 1/8*m**3 + 1/48*m**4 + 2*m + 0. Let j(y) = 0. Calculate y.
1, 2
Let j(s) be the third derivative of -s**8/1176 - 2*s**7/735 + s**6/140 + 4*s**5/105 + s**4/21 + 7*s**2. Let j(y) = 0. Calculate y.
-2, -1, 0, 2
Let s(k) = -k**3 + k**2 - k - 1. Let m be s(-1). Let x be (4/5)/(7 + -3). Let 1/5*i**3 - 1/5*i**m - x*i + 1/5*i**4 + 0 = 0. Calculate i.
-1, 0, 1
Suppose 4/3*m**3 + 0 + m**2 - 1/3*m = 0. What is m?
-1, 0, 1/4
Let j(g) be the first derivative of g**4/48 + g**3/12 + g**2/8 + 4*g - 4. Let v(s) be the first derivative of j(s). Factor v(a).
(a + 1)**2/4
Let z(h) = -h**3 + 8*h**2 + h - 4. Let r be z(8). Let k(o) be the first derivative of -3*o**2 + 4*o - 1 + 0*o**3 + 1/2*o**r. Factor k(p).
2*(p - 1)**2*(p + 2)
Let a(l) = l**2 + 4*l + 1. Let v(g) = -2*g**2 + 8*g + 6. Let t(r) = -5*r**2 + 17*r + 13. Let h(z) = 4*t(z) - 9*v(z). Let n(x) = 4*a(x) + 3*h(x). Factor n(f).
-2*(f - 1)**2
Suppose 0 = -f + 5*o - 23, 2*o = 5*f - 0*f. Suppose 0 = l - 1, -6 = -c - f*l - 0. Determine d so that d + 0*d**3 - d**2 - d**3 + 0*d**4 + d**c = 0.
-1, 0, 1
Let a(k) = -4 - 2*k**2 - 5*k + 5*k**2 - k**2 - 3*k**2. Let x be a(-3). What is n in 2/7*n + 0 + 8/7*n**4 - x*n**3 + 4/7*n**2 = 0?
-1/4, 0, 1
Let r(n) = -n. Let g be r(-3). Factor -3*k**g + 5*k**3 - 2 - 6*k + 6*k**4 + 2*k**3 - 4*k**2 + 2*k**5.
2*(k - 1)*(k + 1)**4
Factor -2*i + 2*i**2 - 194*i**3 + 0*i + 198*i**3.
2*i*(i + 1)*(2*i - 1)
Factor 3*p**3 + 2*p**2 - 10*p**3 + 2*p**4 + 3*p**3.
2*p**2*(p - 1)**2
Let v(k) be the second derivative of 2*k**7/315 - k**6/120 - k**5/180 - 5*k**2/2 - 5*k. Let p(s) be the first derivative of v(s). Factor p(a).
a**2*(a - 1)*(4*a + 1)/3
Let j(a) be the third derivative of -6*a**2 + 0*a + 1/10*a**6 + 0*a**5 + 0*a**4 + 0 + 0*a**3 - 2/105*a**7. Factor j(n).
-4*n**3*(n - 3)
Let f(b) be the third derivative of -b**11/332640 + b**10/151200 + b**5/30 + b**2. Let c(r) be the third derivative of f(r). Suppose c(z) = 0. Calculate z.
0, 1
Let d(t) be the second derivative of 3*t**5/40 + t**4/4 - t**3/4 - 3*t**2/2 + 4*t. Determine l, given that d(l) = 0.
-2, -1, 1
Suppose 4*k - 3*z = -4, -2*z + 3*z = -2*k + 8. Factor -1/2*o**3 + 0 + 1/2*o + 0*o**k.
-o*(o - 1)*(o + 1)/2
Let 0 + 0*h**2 + 0*h**4 - 2/5*h**5 + 4/5*h**3 - 2/5*h = 0. Calculate h.
-1, 0, 1
Let k(a) be the first derivative of -a**6/24 + a**5/20 + a**4/8 + 28. Factor k(g).
-g**3*(g - 2)*(g + 1)/4
Let q = 5/159 - -2837/795. Let v = 7 - 5. F