d m such that -5/6*m**5 + q*m**3 + 0 + 0*m - 1/3*m**2 + 1/3*m**4 = 0.
-1, 0, 2/5, 1
Suppose u + 3*s + 6 - 15 = 0, -u = 4*s - 11. Factor 6*r + 3*r**2 + u*r**2 + 2 - 182*r**3 + 184*r**3.
2*(r + 1)**3
Let j(f) = f**2 + f - 1. Let t be j(-2). Suppose 5*k + 1 = 2*s - 4*s, 3*s + 5*k - t = 0. Solve -21/5*n**4 - 81/5*n**s - 6/5 - 69/5*n**3 - 39/5*n = 0 for n.
-1, -2/7
Let u be 11 + (6 - (7 - -10)). Factor 4/13*g**2 + 6/13*g**3 + u*g + 0.
2*g**2*(3*g + 2)/13
Let l(z) be the third derivative of 0 + 0*z**3 + 5*z**2 + 0*z - 1/15*z**5 - 1/6*z**4. Solve l(k) = 0 for k.
-1, 0
Let d be -1*2/(-30) + (-1)/(-3). Let q(i) be the first derivative of 1/10*i**4 - d*i - 5 + 3/5*i**2 - 2/5*i**3. What is y in q(y) = 0?
1
Suppose -9*u - 50 = 40. Let a be 6*5/u*-1. Factor 37/4*b**a + 3/4*b**5 + 5*b - 1 - 17/4*b**4 - 39/4*b**2.
(b - 2)*(b - 1)**3*(3*b - 2)/4
Factor -9*o**3 + 9 + 3*o**2 - 4*o**3 - 20*o + 10*o**2 + 11*o**3.
-(o - 1)**2*(2*o - 9)
Let b(y) be the third derivative of -y**6/200 + 179*y**5/150 - 473*y**4/120 + 59*y**3/15 + y**2 - 14*y. Factor b(l).
-(l - 118)*(l - 1)*(3*l - 1)/5
Let f(k) be the second derivative of -3*k**5/20 + 13*k**4/36 - 2*k**3/9 - 129*k. Let f(z) = 0. Calculate z.
0, 4/9, 1
Let 2/3*x**3 - x - 4/3*x**2 + 1/3*x**5 + 4/3*x**4 + 0 = 0. What is x?
-3, -1, 0, 1
Let r(d) be the first derivative of -d**5/5 - 2*d**4/3 + 14*d**3/3 - 8*d**2 + 22*d + 22. Let n(g) be the first derivative of r(g). What is a in n(a) = 0?
-4, 1
Let d(n) be the third derivative of n**8/2184 - n**7/91 + 29*n**6/780 + 69*n**5/130 + 27*n**4/26 - n**2 - 49. Solve d(u) = 0.
-2, -1, 0, 9
Determine w so that 181*w**2 + 179*w**2 - 131*w**3 + 18*w**5 + 144*w - 138*w**4 + 247*w**3 = 0.
-2/3, 0, 3, 6
Let c(o) = -8*o**5 - 12*o**4 - 4*o**3 + 4*o**2 + 4*o. Let a(p) = p**5 + p**4 - p**2 - p. Let n(g) = -4*a(g) - c(g). Let n(z) = 0. What is z?
-1, 0
Factor -1/6*t**4 + 1/6*t**5 + 1/6*t**2 + 0 + 0*t - 1/6*t**3.
t**2*(t - 1)**2*(t + 1)/6
Let k(o) be the second derivative of 1/50*o**6 - 4*o + 3/10*o**2 - 3/25*o**5 + 0 - 2/5*o**3 + 3/10*o**4. Factor k(m).
3*(m - 1)**4/5
Let u(m) be the first derivative of m**3/15 - m/5 + 47. Determine l, given that u(l) = 0.
-1, 1
Let z be (-2)/4 + ((-1244)/(-2456))/1. Let s = 9830/921 - z. Factor -6*m - 2/3*m**5 + s*m**2 + 4/3 + 4*m**4 - 28/3*m**3.
-2*(m - 2)*(m - 1)**4/3
Let i(n) = 11*n**3 + 2*n**2 - n + 15. Let h(g) be the first derivative of -g**4/4 - g**2/2 - g - 35. Let u(v) = -18*h(v) - 2*i(v). Factor u(w).
-4*(w - 1)**2*(w + 3)
Suppose 13*f = f + 84. Let s(a) be the first derivative of -32/3*a**3 + f + 10*a**2 - 4*a + 4*a**4. Factor s(b).
4*(b - 1)*(2*b - 1)**2
Find p, given that 0*p + 0 - 32/3*p**3 - 26/9*p**4 - 2/9*p**5 - 8*p**2 = 0.
-6, -1, 0
Suppose 3*c**2 + 5*c**2 + 6*c**2 - 11*c**2 - 105*c + 102 = 0. Calculate c.
1, 34
Suppose 5*k - 90 = 3*y, 5*k - 5*y - 71 = 19. Suppose 15*a + k = 21*a. Factor 336/5*s + 39/5*s**a - 192/5 - 3/5*s**4 - 36*s**2.
-3*(s - 4)**3*(s - 1)/5
Factor -24 + 16/3*b**3 + 44*b - 80/3*b**2.
4*(b - 2)*(2*b - 3)**2/3
Let v(r) = -r**2 - 3*r + 4. Let m be v(-3). Suppose -d + m*f = -18, -4*d + 5*f + 8 = -20. Factor 2*x**d + 13*x**3 - 6*x**4 + 4*x**4 - 15*x**3 + 2*x.
-2*x*(x - 1)*(x + 1)**2
Suppose -n + 13 = 10, -9 = -4*x - 3*n. Let o(l) be the second derivative of -1/4*l**4 - 1/10*l**6 + 3/10*l**5 + 0*l**2 + 0*l**3 + l + x. What is d in o(d) = 0?
0, 1
Factor 16/11 - 1/11*h**2 - 16/11*h + 1/11*h**3.
(h - 4)*(h - 1)*(h + 4)/11
Let q(j) be the first derivative of -1/2*j**3 + 0*j + 7 + 0*j**2 + 9/16*j**4 - 3/20*j**5. Let q(a) = 0. Calculate a.
0, 1, 2
Find f, given that 256 + 38*f - 399*f**2 - 7*f + 98*f**3 + 257*f = 0.
-1/2, 16/7
Factor -3/2*i**3 + 3/2*i - 9 + 9*i**2.
-3*(i - 6)*(i - 1)*(i + 1)/2
Factor -1948*w**5 - 4*w**2 + 132*w**3 + 1951*w**5 + 72*w**4 + 4*w**2.
3*w**3*(w + 2)*(w + 22)
Let f(w) be the third derivative of -11*w**2 - 5/2*w**3 - 1/12*w**6 + 0*w + 0 + 1/3*w**5 - 1/42*w**7 + 5/12*w**4. Solve f(z) = 0.
-3, -1, 1
Let o = -20 - -23. Factor 7*z**5 + 3*z - 3*z**5 + 2*z**2 + 0*z**o + 1 - 3*z**4 - 2*z**3 - 5*z**5.
-(z - 1)*(z + 1)**4
Let q(n) = -25*n + 52. Let u be q(2). Let s be (4 - u)*(-4)/(-14). Determine j, given that -20/7*j**2 - 16/7 + s*j**3 + 32/7*j = 0.
1, 2
Let r(p) be the third derivative of p**5/180 - 23*p**4/72 + 11*p**3/9 - 4*p**2 + 4*p. Factor r(a).
(a - 22)*(a - 1)/3
Let h = -3511 + 52667/15. Let 0 + 0*u - 4/5*u**2 + h*u**3 = 0. Calculate u.
0, 6
Let i(m) = 10*m**5 + 13*m**4 + 6*m**3 + 4*m**2 + m - 9. Let k be 4/(-5)*(-3 + (-39)/2). Let z(y) = y**5 + y**4 - 1. Let n(r) = k*z(r) - 2*i(r). Factor n(j).
-2*j*(j + 1)**4
Let h(f) = -28*f**3 + 20*f**2 + 48*f. Suppose -10 = 2*j + 2*j - r, -r - 11 = 3*j. Let z(w) = -4*w**3 + 3*w**2 + 7*w. Let g(x) = j*h(x) + 20*z(x). Factor g(a).
4*a*(a - 1)*(a + 1)
Let m(p) = p**3 + 7*p**2 + 5*p + 7. Let c be m(-5). Suppose 0*s - 3*s = -4*n + c, -2*n = s - 16. Factor a**3 - 6 + n - 3*a - 2*a**2 + 2*a.
(a - 2)*(a - 1)*(a + 1)
Suppose 0 = 5*w + 20, -n + w - 166 = -6*n. Suppose 8 = 6*u - 10*u + 4*m, n = 3*u + 5*m. Factor -1/4*z**u + 3/4 + 5/4*z + 1/4*z**2.
-(z - 3)*(z + 1)**2/4
Let v = -6 + 10. Suppose v*f = 3*f + 2. Suppose 5*r - 4*r + r**f + r**3 - 2*r**3 - r**4 = 0. Calculate r.
-1, 0, 1
Let r be 82/(-60) - 33/(-22). Let w(c) = c**2 + 10*c + 11. Let z be w(-9). Find j such that 2/15*j**3 - 2/15 - 2/15*j + r*j**z = 0.
-1, 1
Factor -1/3*y**2 - 5*y + 0.
-y*(y + 15)/3
Let k = -29947/6 - -4993. Find s such that 55/3*s**5 + k*s**3 + 0 - 2/3*s + 4*s**2 - 47/2*s**4 = 0.
-2/5, 0, 2/11, 1/2, 1
Let s(u) be the second derivative of -u**7/210 - 3*u**6/50 - 27*u**5/100 - 31*u**4/60 - 2*u**3/5 + 2*u + 1. Find y, given that s(y) = 0.
-4, -3, -1, 0
Let 394*r + 10*r**2 - 30 - 245*r - 204*r = 0. Calculate r.
-1/2, 6
What is p in -72 - 6*p + 34*p - 4*p**2 + 2*p**2 + 6*p**2 = 0?
-9, 2
Factor 1/4*v**2 - 15/4 + 1/2*v.
(v - 3)*(v + 5)/4
Let r(l) = 2*l**2 + 7*l - 7. Let a be r(1). Factor 0*u**2 + 3*u**a + 6*u**3 - 3*u**3 - 25*u + 19*u.
3*u*(u - 1)*(u + 2)
Let i be (-21)/14*2/1. Let z be 14/49*(-7)/i. Factor -2*p**3 - z*p - 2*p**2 + 0 - 2/3*p**4.
-2*p*(p + 1)**3/3
Suppose y - 8 = -3*y. Solve 10*o - 8*o**2 + o**2 + 3*o**3 - y*o**2 - 4*o = 0.
0, 1, 2
Let b(a) = 5*a**2 - 4*a + 9. Let j(u) = -8*u**2 + 4*u - 11. Let g(l) = 3*b(l) + 2*j(l). Factor g(x).
-(x - 1)*(x + 5)
Let n(a) = a**2 - 1. Let d be n(3). Suppose b = -b + d. Let -3*k**4 - 2*k + 2*k**b - 2*k**2 + 2*k**3 + 3*k**4 = 0. Calculate k.
-1, 0, 1
Let a(i) = 9*i**3 + 504*i**2 + 627*i + 138. Let x(k) = -16*k**3 - 1007*k**2 - 1254*k - 276. Let y(m) = -13*a(m) - 6*x(m). Factor y(v).
-3*(v + 1)*(v + 23)*(7*v + 2)
Let y be 303 + -295 + 40/(-6). Factor 0 + 0*j**2 + 0*j + 10/3*j**5 - 2*j**3 - y*j**4.
2*j**3*(j - 1)*(5*j + 3)/3
Let u(k) = 9*k + 117. Let g be u(-13). Let y(a) be the third derivative of 0*a - 2/15*a**4 - 2/75*a**5 + g + 2*a**2 + 1/150*a**6 + 16/15*a**3. Factor y(r).
4*(r - 2)**2*(r + 2)/5
Let p(c) be the third derivative of c**8/28 - 34*c**7/105 + c**6 - 4*c**5/5 - 4*c**4/3 - 5*c**2 - 31*c. Let p(o) = 0. Calculate o.
-1/3, 0, 2
Let g = -83/67 - -482/335. Solve -3/5*u + 2/5 + g*u**2 = 0.
1, 2
Let x = -19 + 25. Let t(s) be the second derivative of -3/2*s**3 - 3/2*s**2 + 0 + 3/10*s**5 - 1/2*s**4 + s + 1/14*s**7 + 3/10*s**x. Suppose t(o) = 0. What is o?
-1, 1
Let j(w) be the first derivative of 5 + 1/16*w**4 - 1/4*w + 1/12*w**3 - 1/8*w**2. Solve j(p) = 0.
-1, 1
Let m(g) be the third derivative of 1/15*g**5 + 2/3*g**3 - 2*g**2 + 0 + 0*g + 1/3*g**4. Let m(z) = 0. What is z?
-1
Let d be 6/2 - (-18 + 25). Let y be 6/d*416/(-273). Factor -32/7 - 2/7*g**2 - y*g.
-2*(g + 4)**2/7
Let c(a) be the first derivative of 2*a**3/9 - 11*a**2/3 + 56*a/3 + 359. Factor c(b).
2*(b - 7)*(b - 4)/3
Let o(j) be the first derivative of -3*j**4/4 - 7*j**3/3 + 18*j**2 - 20*j + 54. Find d, given that o(d) = 0.
-5, 2/3, 2
Factor 36*g**4 - 40*g**4 - 1754*g**2 - 155*g**2 + 65*g**3 - 591*g**2 + 135*g**3.
-4*g**2*(g - 25)**2
Factor 36/11 - 18/11*m - 16/11*m**2 - 2/11*m**3.
-2*(m - 1)*(m + 3)*(m + 6)/11
Let m(j) = 9*j - 15. Let z be m(10). Suppose -14*h - 18*h - 3*h**2 - 7*h - z + 9*h = 0. Calculate h.
-5
Solve 49*s**3 - 24 + 9*s**3 + 9*s**2 - 3*s**4 - 46*s**3 - 30*s = 0.
-1, 2, 4
Let z(l) = l**3 - 2*l + 1. Let q(n) = -7*n**3 + 17*n**2 - 20*n + 8. Let v(o) = -q(o) - 4*z(o). Solve v(c) =