0*m - 4/3 + m**2 = 0?
-1, 2
Find d, given that 15/8*d**3 - 33/8*d**4 + 0 + 3/2*d**5 + 3/4*d**2 + 0*d = 0.
-1/4, 0, 1, 2
Let k be -1 + (-1)/((-4)/20). Suppose 1/5*v**k + 0 - 1/5*v**2 + 0*v + 0*v**3 = 0. Calculate v.
-1, 0, 1
Let s = -47 + 377/8. Let m(x) be the second derivative of 0 + s*x**2 - 1/40*x**5 + 1/24*x**4 - 3*x - 1/168*x**7 - 1/40*x**6 + 1/8*x**3. Factor m(b).
-(b - 1)*(b + 1)**4/4
Let h(x) be the first derivative of -9*x**6/10 + 25*x**4/4 + 10*x**3 + 6*x**2 + x - 3. Let w(r) be the first derivative of h(r). What is k in w(k) = 0?
-1, -2/3, -1/3, 2
Factor -60*a**3 + 26*a**2 + 20*a**4 + 6 + 40*a - 2*a**4 + 2.
2*(a - 2)**2*(3*a + 1)**2
Let s = 5 + -3. Find z, given that 6*z**s - 23 + 3*z**3 + 23 = 0.
-2, 0
Let a(c) be the third derivative of c**6/120 - c**3/3 - 8*c**2. Let m be (0 - -2)*(-1)/(-1). Let q(g) = -g**2 - g - 1. Let p(u) = m*a(u) - 6*q(u). Factor p(r).
2*(r + 1)**3
Let x(c) be the first derivative of -2*c**4 + 2*c**3/3 + 4*c**2 - 2*c + 22. Factor x(f).
-2*(f - 1)*(f + 1)*(4*f - 1)
Determine n so that 40/9*n - 200/9 - 2/9*n**2 = 0.
10
Let y = -35/11 - -208/55. Let a(q) be the first derivative of 1 + y*q**2 + 1/5*q + 3/25*q**5 + 4/5*q**3 + 1/2*q**4. Factor a(d).
(d + 1)**3*(3*d + 1)/5
Suppose 2*g + 5*v - 14 = 0, 10*v - 6*v = g + 6. Let o(x) be the second derivative of 1/30*x**4 + 0 + x + 0*x**g + 2/15*x**3. Solve o(y) = 0.
-2, 0
Let x = 1887/13 + -145. What is z in -2/13 + x*z**4 + 0*z**2 - 4/13*z**3 + 4/13*z = 0?
-1, 1
Let c(s) be the first derivative of 0*s**2 - 2/7*s + 2 + 2/21*s**3. Find a, given that c(a) = 0.
-1, 1
Let m(c) = c**2 - 2*c + 3. Let x be m(2). What is r in -2*r**5 - 3*r**3 + 0*r**5 - 8*r**4 + 0*r**x - 5*r**3 = 0?
-2, 0
Let z(y) be the second derivative of 0*y**2 + 1/2520*y**7 + 0*y**6 + 1/6*y**4 + 0 - y + 0*y**5 + 0*y**3. Let v(r) be the third derivative of z(r). Factor v(m).
m**2
Let n(y) = -y**3 + 9*y**2 + 2. Let g be n(9). Find q such that g*q + 2*q + 4 + 3*q**2 + 2*q - q**2 = 0.
-2, -1
Let c = 9 + -7. Let 8*t**3 + 0*t**c - 10*t**3 - t**2 - t**2 = 0. What is t?
-1, 0
Solve 0*v + 0 + 0*v**3 + 3/7*v**4 + 0*v**2 = 0.
0
Let z be (-2)/(-5) - (-15)/(-225). Factor 0 + 0*j + 0*j**3 + 0*j**2 + 1/3*j**4 + z*j**5.
j**4*(j + 1)/3
Let k be 22/121 - 106/(-22). Suppose -k*h = -5*d - 45, -7*d + 3*d - 24 = -h. Determine t, given that -t**2 + 1/3*t + 1/3*t**h + 2/3 - 1/3*t**3 = 0.
-1, 1, 2
Let x(m) be the first derivative of m**5/20 + m**4/4 + 5*m**3/12 + m**2/4 - 40. Let x(o) = 0. What is o?
-2, -1, 0
Let r(k) be the second derivative of -k**8/840 + k**7/280 - k**6/360 + k**3/6 + k. Let c(v) be the second derivative of r(v). Find t, given that c(t) = 0.
0, 1/2, 1
Determine i so that -22*i - 27*i + 8 + 5*i + 36*i**2 = 0.
2/9, 1
Suppose -5*q - 3 = -5*w - 23, 3*q + w + 4 = 0. Let -2*c**2 + 0*c**3 + 4*c**2 - c + q*c**2 - c**3 = 0. What is c?
0, 1
Let m be (68/(-306))/((-1)/3). Factor -1/3 + m*h**2 - 1/3*h - 1/3*h**4 + 2/3*h**3 - 1/3*h**5.
-(h - 1)**2*(h + 1)**3/3
Factor -3*i**2 + 7*i**4 + 7*i**4 + 4*i**3 + 1 - 10*i**4 - 2*i.
(i + 1)**2*(2*i - 1)**2
Suppose -27 = -2*a - 3*p + 15, 83 = 5*a + 2*p. Suppose 2*j = -2*x + 6*j - 6, 3*x + 2*j - a = 0. What is t in -2/3*t**2 + t**x - 1/3*t + 0 = 0?
-1/3, 0, 1
Let z be -2 + (-4 - 18/(-3)). Solve 0*d**2 + z - 4/5*d**3 + 2/5*d**4 + 0*d = 0 for d.
0, 2
Suppose o + 8 = 2*s, -3*s + 5 + 7 = 4*o. Factor 2*w**5 + w**4 + 0*w**4 - 2*w**2 - 2*w**3 + w**4 + o*w**4.
2*w**2*(w - 1)*(w + 1)**2
Factor 4*c**2 + 3*c**4 - 3*c**2 + c**2 - 5*c**4.
-2*c**2*(c - 1)*(c + 1)
Let w(y) = -10*y**2 + y. Let l(f) be the first derivative of -f**3 - 2. Let v(g) = -7*l(g) + 2*w(g). Let v(s) = 0. Calculate s.
-2, 0
Suppose 5*k + 4*s - 4 = 0, -5*k + 3*s = s + 2. Let n = -2/19 - -25/57. Factor 0*v**4 + 0*v**2 + 0 + n*v**3 - 1/3*v**5 + k*v.
-v**3*(v - 1)*(v + 1)/3
Let r(t) be the second derivative of t**5/12 - 5*t**4/36 - 5*t**3/18 + 5*t**2/6 + 16*t. What is l in r(l) = 0?
-1, 1
Let p be (-2)/(-2 + 4 - 0). Let d = 2 - p. Solve 5*g - g**3 - 3*g**2 - 5*g + 4 + 0*g**d = 0.
-2, 1
Factor 0 + 0*i + 2/15*i**2.
2*i**2/15
Let h(d) be the second derivative of -d**5/80 + d**4/6 + d**3/24 - d**2 + d - 16. Factor h(k).
-(k - 8)*(k - 1)*(k + 1)/4
Let h(q) be the third derivative of -q**6/80 + q**5/240 + q**4/16 - q**3/24 - 5*q**2. Factor h(p).
-(p - 1)*(p + 1)*(6*p - 1)/4
Suppose -6 = -3*j, -j = -f - 2*j + 5. Let l(k) be the third derivative of 0*k**f + 0 + 1/20*k**6 + 1/12*k**4 - k**2 + 0*k + 2/15*k**5. Factor l(o).
2*o*(o + 1)*(3*o + 1)
Let j(v) be the second derivative of v**7/42 - v**6/30 - 17*v. Factor j(s).
s**4*(s - 1)
Let b(z) be the first derivative of -z**7/1680 + z**6/720 - z**3 - 2. Let j(f) be the third derivative of b(f). Factor j(d).
-d**2*(d - 1)/2
Suppose 0 = -2*x + x, -16 = -4*h - 3*x. Find f such that 9/5*f**2 - 9/5*f**h + 7/5*f**5 - f**3 + 0 - 2/5*f = 0.
-1, 0, 2/7, 1
Let z(x) be the third derivative of -x**9/16632 + x**7/2310 - x**5/660 - x**3/3 - 2*x**2. Let c(k) be the first derivative of z(k). Factor c(p).
-2*p*(p - 1)**2*(p + 1)**2/11
Let x = 11/5 - 9/5. Suppose -k - 3*k - 4*s + 16 = 0, -k - 5*s = -12. Factor -3/5*b - x + 2/5*b**k + 3/5*b**3.
(b - 1)*(b + 1)*(3*b + 2)/5
Let j = -10 - -14. Suppose 0 = 5*i - 5*w + 3*w - 10, 0 = w. Factor 4*c**5 + c**3 - 5*c**4 - i*c**5 + 2*c**j.
c**3*(c - 1)*(2*c - 1)
Let u(a) be the first derivative of -a**8/2520 - a**7/2520 + a**6/1080 + 2*a**3/3 + 3. Let v(d) be the third derivative of u(d). Find b, given that v(b) = 0.
-1, 0, 1/2
Let w(b) = 5*b - 63. Let m be w(13). Let i(c) be the third derivative of 0*c**4 + 1/48*c**6 + 0*c**3 - 1/60*c**5 + c**m + 0 + 0*c. Factor i(x).
x**2*(5*x - 2)/2
Let h = 18 + -11. Let q = h + -5. Find y such that -1 - y**2 - 4*y**q + 6*y**2 = 0.
-1, 1
Determine f so that 5/3*f**4 + 0 + 75*f**2 - 250/3*f - 20*f**3 = 0.
0, 2, 5
Let z(j) be the third derivative of j**8/112 - j**7/70 - 3*j**6/10 + 7*j**5/5 - 2*j**4 - 60*j**2. Suppose z(p) = 0. What is p?
-4, 0, 1, 2
Let z(q) be the second derivative of 0*q**2 - 1/27*q**3 - 1/90*q**5 + 1/27*q**4 + 0 + 3*q. Factor z(o).
-2*o*(o - 1)**2/9
Let g(p) be the third derivative of p**6/1440 + p**5/240 + p**4/96 + p**3/6 - 3*p**2. Let s(u) be the first derivative of g(u). Factor s(q).
(q + 1)**2/4
Let s be -3*(2 + 100/(-45)). Factor a + 5/3*a**2 - s.
(a + 1)*(5*a - 2)/3
Let v(k) = k**3 + 5*k**2 - 6*k + 3. Let n be v(-6). Find p such that 2 - 3*p**n + p - 2*p**2 + p**3 + p = 0.
-1, 1
Let w(y) = -y**2 - 14*y + 64. Let s(m) = -2*m**2 - 13*m + 64. Let q(b) = 2*s(b) - 3*w(b). Factor q(d).
-(d - 8)**2
Suppose -5*a - 5 = -3*u - 9*a, 2*u = -2*a + 4. Factor 1 - 1/4*o**4 - 3/4*o**2 + o**u - o.
-(o - 2)**2*(o - 1)*(o + 1)/4
Suppose h**5 - h**4 + h**2 + h**3 - 2*h**5 + 0*h**5 = 0. What is h?
-1, 0, 1
Let b(w) be the first derivative of 1/12*w**4 - 3 + 0*w + 0*w**3 + 0*w**2 - 1/15*w**5. Suppose b(i) = 0. Calculate i.
0, 1
Let m(h) = 2*h - 2. Let f = -10 + 12. Let x be m(f). Suppose 2/3*q**x + 0*q + 0 - 2*q**3 + 8/3*q**5 + 0*q**4 = 0. Calculate q.
-1, 0, 1/2
Let o be ((-2)/(-6))/((-1)/(-9)). Solve -16 - 2*f + 4*f - 12*f**2 + 2*f**o + 22*f = 0.
2
Let a be ((-1)/(-4))/(69/92). Let t be 1*(-1 - (-5)/3). Factor t*y + 0 + a*y**2.
y*(y + 2)/3
Solve 20/7*t**2 + t**4 + 0 + 8/7*t - 26/7*t**3 = 0.
-2/7, 0, 2
Let w(k) = 5*k**5 - 3*k**4 + 2*k**3 + 2*k**2 + k - 3. Let z(y) = -5*y + 4*y - 2 - y**5 + 3. Let d(x) = -w(x) - 4*z(x). Factor d(p).
-(p - 1)**4*(p + 1)
Let x = 2011/9009 - 1/1001. Determine w so that 0*w - x*w**2 + 2/9 = 0.
-1, 1
Suppose 140*j - 9 = 137*j. Let r(d) be the second derivative of 1/3*d**2 + 0 + 1/36*d**4 - j*d + 1/6*d**3. Factor r(t).
(t + 1)*(t + 2)/3
Suppose q = 3*q. Suppose q*j + j = -3*d + 8, -3*j + d = -4. Factor -j + b - 2*b**4 + 4*b**2 - b.
-2*(b - 1)**2*(b + 1)**2
Let b = -11 + 11. Factor 2*v**4 + 22/7*v**2 + b + 32/7*v**3 + 4/7*v.
2*v*(v + 1)**2*(7*v + 2)/7
Let i(z) be the third derivative of z**6/30 + z**5/15 - z**4/6 - 2*z**3/3 + z**2. Factor i(s).
4*(s - 1)*(s + 1)**2
Let b(u) be the second derivative of -u**5/3 - 2*u**4/3 + 2*u**3/3 - 3*u**2/2 + 9*u. Let z(i) be the first derivative of b(i). Let z(l) = 0. Calculate l.
-1, 1/5
Factor 2/3*j**4 + 4/3 - 2*j**2 - 2/3*j + 2/3*j**3.
2*(j - 1)**2*(j + 1)*(j + 2)/3
Suppose -4*d - 6 + 2 = 0, -26 = -3*k + 5*d. Let y = k - 4. Determine r so that -1/3*r**2 + 0*r - r**y