54*m**4 + 2*m**5 - 8*m**2 - 44*m**4 = 0.
0, 1
Suppose 10*a = 7*a + 6. Let o(r) be the second derivative of 0 - 1/6*r**3 - 2*r + 0*r**a + 1/12*r**4. Solve o(f) = 0 for f.
0, 1
Let b be -2*(1 + -2)*3. Suppose b*y = 2*y + 8. Determine z so that 0*z + 2*z**3 - 2 - y*z**3 + z + 2*z**2 - z**3 = 0.
-1, 1, 2
Suppose 3*p = 1 - 10. Let n be (-4 - p) + (-6)/(-4). Find b such that -n*b**2 + 1/2 + 0*b = 0.
-1, 1
Let j(s) = -6*s**5 - 9*s**4 - 7*s**2 + 5*s - 5. Let u = 2 - 7. Let g(p) = -7*p**5 - 10*p**4 + p**3 - 8*p**2 + 6*p - 6. Let y(k) = u*g(k) + 6*j(k). Factor y(i).
-i**2*(i + 1)**2*(i + 2)
Let t = 218 - 653/3. Factor -1/6*b + 0 - t*b**2.
-b*(2*b + 1)/6
Let k = 13 - -8. Factor -21 - n**2 + k.
-n**2
Let c be 1*-2 + -3 + (-136)/(-24). Find o such that 0*o + 0 - 2/3*o**3 + c*o**2 = 0.
0, 1
Let h be (-4)/(2*2/(-4)). Factor 8*l - l - h*l - 6*l**2 - 5*l + 4.
-2*(l + 1)*(3*l - 2)
Let z(g) = -g**2 + g + 1. Let y(b) = 9*b + 4 - 4 - 6*b**2 - 2*b**2 + 7. Let s(h) = 2*y(h) - 14*z(h). Let s(c) = 0. What is c?
0, 2
Let t(j) be the third derivative of 1/210*j**5 - 2/21*j**4 + 0*j + 16/21*j**3 + 0 + 8*j**2. Factor t(s).
2*(s - 4)**2/7
Let j(u) = u + 6. Let a be j(-4). Suppose a*h + 16 = 5*b - 2*h, 0 = b + 3*h + 12. Determine c, given that -2/11*c + b + 4/11*c**2 - 2/11*c**3 = 0.
0, 1
Let f be (-1)/(-1)*(1 - -1). Factor -1 + 2 + 2*k**f - k**2 - 2*k**2.
-(k - 1)*(k + 1)
What is g in 2/5*g**5 + 0*g**4 + 0*g**2 + 0 + 2/5*g - 4/5*g**3 = 0?
-1, 0, 1
Suppose 11*p - 8*p = 6. Factor 15/4*o**p - 3 + 6*o.
3*(o + 2)*(5*o - 2)/4
Let t be 2/(-2 + 5 - 2). Let b(w) = -w. Let v be b(-2). Determine r so that -v*r**5 + 3*r**3 + r**5 - 4*r**3 + t*r**4 - 4*r**4 = 0.
-1, 0
Let d be (-5)/2*(-12)/(-10). Let t be (-4)/(-8 - 1 - d). Suppose -t*c**2 + 0*c + 2/3*c**3 + 0 = 0. Calculate c.
0, 1
Let d be (2 - 0) + (-4)/2. Let y be d + 6 - (4 - 2). Factor y*k**2 - 5*k + 2 + k**3 + 4*k + 6*k.
(k + 1)**2*(k + 2)
Factor -5*a**2 + 2 - 5*a - 2.
-5*a*(a + 1)
Let s(n) be the first derivative of n**5/10 - n**4/6 - n**3/3 + n**2/2 + 2. Let z(o) be the second derivative of s(o). Solve z(r) = 0.
-1/3, 1
Suppose 2*k - 4 = 6. Determine j, given that -7*j - 3*j**2 + j**2 + k*j**2 + 0*j**2 + 2 = 0.
1/3, 2
Let r(i) be the second derivative of -i + 1/15*i**6 + 0*i**3 + 0 + 3/49*i**7 - 1/35*i**5 + 0*i**2 + 0*i**4. Find t such that r(t) = 0.
-1, 0, 2/9
Let s(n) be the third derivative of 0*n + 1/110*n**5 + 4*n**2 + 0 + 0*n**3 - 1/660*n**6 - 1/66*n**4. Solve s(z) = 0 for z.
0, 1, 2
Let c(q) be the first derivative of q**8/420 + q**7/105 + q**6/90 - 2*q**3 + 2. Let h(d) be the third derivative of c(d). Factor h(x).
4*x**2*(x + 1)**2
Let y(p) be the third derivative of -1/22*p**4 + 0 + 0*p + 4*p**2 - 3/110*p**5 - 1/33*p**3. Determine g so that y(g) = 0.
-1/3
Let h = 8 + -5. Suppose 0*l**2 - l**h - 2 + l + l**2 + l**2 = 0. What is l?
-1, 1, 2
Let o(p) be the second derivative of -p**7/231 - 4*p**6/165 - 2*p**5/55 + p**4/33 + 5*p**3/33 + 2*p**2/11 + 16*p. Suppose o(n) = 0. What is n?
-2, -1, 1
Suppose 4 = d + d. Suppose 0*s - s + s**3 + 2 - 4*s**d + 0*s + 2*s**2 = 0. Calculate s.
-1, 1, 2
What is a in 129/4*a**2 + 45/2*a**3 + 21/4*a**4 + 3 + 18*a = 0?
-2, -1, -2/7
Let u(y) be the first derivative of y**6/288 + 17*y**5/480 + y**4/16 - y**3 + 3. Let l(r) be the third derivative of u(r). Factor l(i).
(i + 3)*(5*i + 2)/4
Let w be -1 + 285/18 - (-28)/(-21). Determine h so that -w*h**2 + 1/2*h + 7*h**3 + 20*h**4 + 1 = 0.
-1, -1/4, 2/5, 1/2
Let d(t) be the first derivative of -t**6/6 - 3*t**5/5 - 3*t**4/4 - t**3/3 - 21. Let d(p) = 0. What is p?
-1, 0
Let y(x) be the first derivative of -x**8/5880 - x**7/735 - x**6/252 - x**5/210 - x**3 - 2. Let w(o) be the third derivative of y(o). Factor w(f).
-2*f*(f + 1)**2*(f + 2)/7
Let a(b) be the first derivative of 23/4*b**4 - 7/2*b**2 + 1 + 7/3*b**3 - 8/5*b**5 - 8/3*b**6 + b. What is j in a(j) = 0?
-1, 1/4, 1
Let q(p) be the third derivative of -5*p**6/8 - 61*p**5/12 - 5*p**4/12 + 20*p**3/3 + 4*p**2 - 8*p. Factor q(m).
-5*(m + 4)*(3*m - 1)*(5*m + 2)
Let t(q) be the second derivative of q**4/12 - q**3/3 - 3*q**2/2 - 7*q + 3. Factor t(j).
(j - 3)*(j + 1)
Let z be 2 - (-1)/(2/6). Let s be 0/(-4) + z/10. Factor 1/2*m - m**2 + s*m**3 + 0.
m*(m - 1)**2/2
Let n(o) be the first derivative of 5 + 0*o - 1/3*o**3 + 3/2*o**2. Let n(k) = 0. What is k?
0, 3
Solve -6*d**2 + 3*d**5 - 12 + 3*d**2 + 12 + 3*d**4 - 3*d**3 = 0.
-1, 0, 1
Let i(k) be the second derivative of k**7/21 - k**6/15 - 3*k**5/5 + 7*k**4/3 - 11*k**3/3 + 3*k**2 + 2*k. Suppose i(z) = 0. What is z?
-3, 1
Let o(b) be the second derivative of b**5/45 + b**4/24 - b**3/18 + 5*b**2/2 + 4*b. Let f(w) be the first derivative of o(w). Factor f(s).
(s + 1)*(4*s - 1)/3
Factor 1/4*v**4 - 15/4*v**2 + 2*v + 0 + 3/2*v**3.
v*(v - 1)**2*(v + 8)/4
Let b(x) be the first derivative of x**6/6 + 3*x**5/5 + x**4/4 - x**3 - x**2 - 9. Determine i, given that b(i) = 0.
-2, -1, 0, 1
Let y = 1264/5 - 252. Factor -2/5*a**2 - 2/5*a + y.
-2*(a - 1)*(a + 2)/5
Factor 5*p - 2*p + 3*p**3 - 13*p**2 + 19*p**2.
3*p*(p + 1)**2
Factor -3/4 + t - 1/4*t**2.
-(t - 3)*(t - 1)/4
Solve -2*l**4 + 0*l - 2/7*l**5 - 20/7*l**3 + 0*l**2 + 0 = 0 for l.
-5, -2, 0
Suppose 0 = 5*s + 75 + 5. Let b be 15/10*s/(-30). What is c in 2*c**3 - 2*c + 4/5 - b*c**2 = 0?
-1, 2/5, 1
Let z be (-222)/(-69)*74/(-51). Let l = -2/1173 - z. Suppose l*b + 2*b**3 + 4/3 + 16/3*b**2 = 0. What is b?
-1, -2/3
Let c = 1 - -1. Suppose -2*g = 4*h - 12, c*h + 3*g = 3*h - 3. Find w such that 2*w - 3*w - w**3 + 2*w**h = 0.
-1, 0, 1
Let z(l) be the first derivative of 4 - 5/2*l**6 + 0*l**2 + 0*l + 24/5*l**5 - 2*l**3 - 3/4*l**4. Find d, given that z(d) = 0.
-2/5, 0, 1
Suppose 23 = c + 22. Let r be (-1)/(-4 + (c - 0)). Solve 1/3*n**2 - 1/3*n**5 + 0 + r*n**3 + 0*n - 1/3*n**4 = 0.
-1, 0, 1
Suppose -5*g = -4*d + 10, -3*g - 14 = -7*d + 3*d. Factor 12*n**2 - 6*n**3 - 8*n - 2*n**3 + 4*n**4 + g - 2*n**4.
2*(n - 1)**4
Let c be (1/3)/((-390)/(-27)). Let d = c + 153/130. Find z such that -4/5 + d*z - 2/5*z**2 = 0.
1, 2
Suppose 0 = -3*t - t + 8. Let o(x) be the second derivative of 0 - 1/20*x**5 + 0*x**t + 1/3*x**3 - 1/12*x**4 + 3*x. Determine l so that o(l) = 0.
-2, 0, 1
Factor 15/4*u**2 - 3/2*u - 1/4 - 2*u**3.
-(u - 1)**2*(8*u + 1)/4
Let c = -389 + 391. Factor -2/9*m**3 + 4/9*m**c + 0*m + 0.
-2*m**2*(m - 2)/9
Let k be 6/(-9) + (-10)/(-15). Let z(c) be the first derivative of -3 + k*c**2 - 2/21*c**3 + 2/7*c. What is w in z(w) = 0?
-1, 1
Let v be 4/18 + 430/90. Factor 0*q**4 + 0*q**4 - 3*q + 6*q**2 + 0*q**4 - 6*q**4 + 3*q**v.
3*q*(q - 1)**3*(q + 1)
Suppose -y - 12 = 3*y. Let u be y + 3 + (-2)/(-10). What is o in -u*o**3 + 0 - 1/5*o + 2/5*o**2 = 0?
0, 1
Let r = -132 + 1190/9. Let r*c**2 - 2/9*c**3 + 0 + 0*c = 0. Calculate c.
0, 1
Let g be (-2)/4*-1*4. Let j(d) = -d - 4. Let n be j(-5). Factor 0*l**g - 6*l + n - 2 + 3*l**2 + 4.
3*(l - 1)**2
Let o(d) be the third derivative of -d**6/168 + 13*d**5/420 - d**4/42 - 2*d**3/21 - 5*d**2. Factor o(m).
-(m - 2)*(m - 1)*(5*m + 2)/7
Factor 4*v + 5*v**2 - 3*v**2 - 3*v**3 + v**4 - 2*v**2.
v*(v - 2)**2*(v + 1)
Let p = -9 + 34. Factor -12 - 5*b + 6*b + 15*b**2 - p*b.
3*(b - 2)*(5*b + 2)
Let x(q) be the second derivative of 2*q**7/21 - 8*q**6/15 + 6*q**5/5 - 4*q**4/3 + 2*q**3/3 - 2*q. Factor x(z).
4*z*(z - 1)**4
Let q = -829/4 + 2519/12. What is d in 2/3*d**2 + q*d + 0 = 0?
-4, 0
Let d(m) = 2*m**2 + 3*m**4 - 4*m**4 + m**4 + 3*m - 2*m**4 - 3*m**3. Let i(w) = -2*w**4 - 4*w**3 + 2*w**2 + 4*w. Let l(s) = 6*d(s) - 5*i(s). Solve l(f) = 0.
-1, 0, 1
Let a(z) be the third derivative of -z**9/1512 - 4*z**3/3 - z**2. Let f(w) be the first derivative of a(w). Suppose f(s) = 0. What is s?
0
Let o be 5/4*(-64)/(-16). What is i in 36/7*i**2 + 44/7*i**3 + 26/7*i**4 + 6/7*i**o + 2*i + 2/7 = 0?
-1, -1/3
Suppose -2*b = -0*b - 3*f + 9, 6 = 3*b + 2*f. Suppose 3*l = 2*i + 2, -4*i - 4 = -l - b*i. Factor l - 2*c**2 + 18/5*c**4 + 6/5*c**3 + 2/5*c.
2*c*(c + 1)*(3*c - 1)**2/5
Suppose 6*d - d = 0. Let w(v) be the third derivative of d*v - 1/100*v**6 - 1/15*v**3 + 1/150*v**5 + 1/20*v**4 + 0 - v**2. Factor w(o).
-2*(o - 1)*(o + 1)*(3*o - 1)/5
Let o = -1058 + 1068. Find v such that -9/2*v**3 - 1 - o*v**2 - 13/2*v = 0.
-1, -2/9
Factor -5/4*c + 5/4*c**3 - 5 + 5*c**2.
5*(c - 1)*(c + 1)*(c + 4)/4
Factor 4*z**2 + 9*z**3 + 3*z**4 - 14 -