*3/2 - 4*c. Let a(u) be the second derivative of p(u). Factor a(r).
-2*r*(r - 1)**3*(r + 1)/9
Factor 0*c - 2/11*c**5 - 2/11*c**4 + 0 + 2/11*c**2 + 2/11*c**3.
-2*c**2*(c - 1)*(c + 1)**2/11
Let j be 10/(-20)*(1 - 1). Let d(g) be the third derivative of -1/48*g**4 - g**2 + 0*g**3 + j*g - 1/240*g**6 + 0 + 1/60*g**5. Factor d(z).
-z*(z - 1)**2/2
Let w(z) = -z - 2. Let o be w(-2). Suppose o = 3*f - 0*f - 6. Factor 0*m**f + 0*m + 0 - 1/3*m**3 - 1/3*m**4.
-m**3*(m + 1)/3
Suppose -7*b - u = -4*b - 6, b = -5*u - 12. Factor 2/7*m + 4/7*m**2 + 0 + 2/7*m**b.
2*m*(m + 1)**2/7
Suppose -6*a = -a - 20. Suppose -3*v + 2*u = v - 10, -5*u - 7 = -a*v. Factor 2*z**4 - z**4 + z**2 + z - 2*z**2 - z**v.
z*(z - 1)**2*(z + 1)
Let b(a) = -23*a + 2 + 38*a**3 + 3*a - 2*a**2 + 26*a**2 - 2*a**2. Let y(s) = 37*s**3 + 21*s**2 - 19*s + 2. Let k(n) = -5*b(n) + 6*y(n). What is l in k(l) = 0?
-1, 1/4
Let g = 35 - 31. Suppose -3*i + 4*i + 3*l = -8, -g*i - 3*l = -4. Determine d, given that 1/2*d**i - 1/2*d**5 + 1/2*d**3 + 0 - 1/2*d**2 + 0*d = 0.
-1, 0, 1
Let a(j) be the third derivative of -j**5/60 + j**3/6 - 3*j**2. Let m(x) = 2*x**3 - 3*x**2 + 2*x - 1. Let d(i) = -a(i) - m(i). Let d(b) = 0. What is b?
0, 1
Suppose 5*j - 14 = 1. Let v be j/(-12) - (-25)/36. Factor v + 14/9*p + 10/9*p**2.
2*(p + 1)*(5*p + 2)/9
Factor -10/3*o - 5/3*o**2 + 0 + 5/3*o**3.
5*o*(o - 2)*(o + 1)/3
Let i(s) = -5*s**4 - 28*s**3 - 65*s**2 - 58*s - 22. Let b(v) = -v**3 - v + 1. Let w(h) = 2*b(h) + i(h). Suppose w(l) = 0. What is l?
-2, -1
Suppose 4*i + g = 11, 5*g - 2*g - 7 = i. Factor 2 + b - i + b**2.
b*(b + 1)
Suppose 4 = -2*w - 0*w. Let g(r) = -3*r - 3. Let f be g(w). Factor -1/4*l**f - 1/4*l**2 + 0 + 0*l.
-l**2*(l + 1)/4
Suppose 12*o = 37 - 13. Factor -p**o - 1/3 - p - 1/3*p**3.
-(p + 1)**3/3
Let s = 18 - 13. Let j = -2 + s. Factor -j*v**3 - v + 3 + 1 + 3*v**2 + v**4 - 4.
v*(v - 1)**3
Suppose -4*c + 8 = -2*s, -3*s + 5 - 1 = 2*c. Let a(k) be the first derivative of 1/3*k**3 - 5/6*k**c - 2/3*k + 2. Solve a(f) = 0 for f.
-1/3, 2
Let x = -25/7 - -157/42. Let s(m) be the second derivative of 4*m + 1/36*m**4 + 0*m**3 + 0 - x*m**2. Factor s(b).
(b - 1)*(b + 1)/3
Factor 9/2*k**2 - 3/2*k**3 - 3*k + 0.
-3*k*(k - 2)*(k - 1)/2
Find c such that 0 - 11*c**4 - 25*c**3 + 16*c**4 + 20*c + 30*c**2 - 40 = 0.
-1, 2
Let o(y) be the second derivative of -1/12*y**4 - 5*y - 9/2*y**2 - y**3 + 0. Let o(b) = 0. What is b?
-3
Suppose -3*g - 1 = -3*q + 11, g = -3*q + 24. Let z = -2 + 4. Find x such that -q + x**2 + 4 - x**z + 3*x**2 = 0.
-1, 1
Let a(u) be the first derivative of 25*u**3/6 + 5*u**2 + 2*u - 4. Factor a(w).
(5*w + 2)**2/2
Let q be (-10)/(-25) - (-34)/15. Let 0 + 2/3*m**3 + q*m**2 + 8/3*m = 0. What is m?
-2, 0
What is n in 1/3*n**4 - 2/3*n - 1/3*n**2 + 2/3*n**3 + 0 = 0?
-2, -1, 0, 1
Let y(u) be the second derivative of u**6/105 - 3*u**5/70 + 4*u**3/21 + 19*u. Factor y(t).
2*t*(t - 2)**2*(t + 1)/7
Let n(a) be the third derivative of -a**6/30 + a**5/6 - a**4/4 - a**3 - 2*a**2. Let w(x) = x**3 - x**2 + x + 1. Let s(u) = n(u) + 6*w(u). Solve s(p) = 0 for p.
-2, 0
Let x be (-40)/(-21) + (85/15 - 5). Factor -x*q + 4/7 + 2*q**2.
2*(q - 1)*(7*q - 2)/7
Suppose 1 - 9 = -2*f + m, 5*f - 15 = 5*m. Let z(d) be the third derivative of 0 + d**2 + 17/84*d**4 + 0*d + 2/21*d**3 + 6/35*d**f. Solve z(w) = 0 for w.
-1/4, -2/9
Let c(q) = -q**2 + 3*q + 2. Suppose a - 9 = -2*a. Let m be c(a). What is n in 10*n**3 + 8*n**5 + 2*n**m + 8*n**4 + 2*n**4 + 6*n**4 = 0?
-1, -1/2, 0
Let u(o) = o**3 + o**2 + 2. Let g be u(0). Solve -b**2 - 6*b**2 + 14*b**3 - 15*b + 4 + 3*b**g + b = 0.
-1, 2/7, 1
Let y(n) = n**3 + 4*n**2 + 2*n - 3. Let l be y(-3). Factor l*x + 2/5*x**2 - 2/5.
2*(x - 1)*(x + 1)/5
Determine w so that 0*w**3 + 9/2*w**4 + 1/2 + 0*w - 5*w**2 = 0.
-1, -1/3, 1/3, 1
Let t(b) be the first derivative of -5*b**4/3 + 32*b**3/9 - 2*b**2/3 - 8*b/3 - 12. Factor t(n).
-4*(n - 1)**2*(5*n + 2)/3
Suppose -3*l = 2*l. Let i(g) be the second derivative of -3/10*g**6 - 11/6*g**4 + 4/3*g**3 - 3*g + 6/5*g**5 + l - 1/2*g**2. What is r in i(r) = 0?
1/3, 1
Let c be 98/35 + (-4)/5. Factor -126*y - 19*y**2 + 107*y**2 + 27 + 59*y**c.
3*(7*y - 3)**2
Let x(m) be the third derivative of 5*m**8/1512 - 4*m**7/315 + m**6/60 - m**5/135 + 4*m**2. Let x(q) = 0. What is q?
0, 2/5, 1
Let b(w) = 2*w**3 - 3*w**2 + 3*w + 1. Let h(v) = 6*v**3 - 8*v**2 + 8*v + 4. Suppose -3*u + u + 20 = 0. Let z(g) = u*b(g) - 3*h(g). What is x in z(x) = 0?
1
Suppose 6*q = q + 30. Factor q*z**3 + 3*z**3 - 3*z**3 - 3*z**3.
3*z**3
Let r(z) be the first derivative of -2*z**3/5 + 6*z/5 + 62. Find i such that r(i) = 0.
-1, 1
Suppose 3*o - 5*u = 34, -5*u - 19 - 9 = -o. Suppose o*w = 5*l - 0*l - 51, 0 = -2*l + 3*w + 24. Factor -l*q + 3/2 - 6*q**3 + 27/2*q**2.
-3*(q - 1)**2*(4*q - 1)/2
Factor 2/9*h**2 - 2/9 + 0*h.
2*(h - 1)*(h + 1)/9
Let s = -14 - -17. Suppose -7*v = -s*v - 8. Suppose -18*q + 81/4*q**v + 3 = 0. What is q?
2/9, 2/3
Let n = 17 - 14. Factor 8*c**4 - n*c**3 + 3*c**2 + c**2 + 3*c - 11*c**4 - c**2.
-3*c*(c - 1)*(c + 1)**2
Let r(m) be the first derivative of m**5/5 - m**4/3 - 2*m**3/3 + 2*m**2 + 9*m + 9. Let w(a) be the first derivative of r(a). Factor w(u).
4*(u - 1)**2*(u + 1)
Let h(f) be the first derivative of -2*f**3/15 + f**2/5 + 33. Determine p so that h(p) = 0.
0, 1
Let a(f) = f**3 + 8*f**2 + 7*f + 6. Let o be a(-7). Suppose -o*h + 3*h = 0. Factor h*u + 0*u**2 + 1/2*u**3 + 0.
u**3/2
Let c = -545 + 545. Solve -4/3*k + 4/3*k**2 + c - 1/3*k**3 = 0.
0, 2
Let r(k) be the second derivative of k**3/2 - k**2/2 - 2*k. Let x be r(3). Factor 7*c - x - 3*c + 5*c - 2*c**2 - c.
-2*(c - 2)**2
Let r be (-2)/15*(0 + (-2)/4). Let o(z) be the third derivative of -z**2 + r*z**3 - 1/150*z**6 + 0*z - 1/50*z**5 + 0*z**4 + 0. Factor o(g).
-2*(g + 1)**2*(2*g - 1)/5
Let r(j) be the second derivative of -j**7/2520 + j**5/120 - j**4/6 + 4*j. Let z(h) be the third derivative of r(h). Factor z(w).
-(w - 1)*(w + 1)
Let z(r) = -r. Let d = 2 - 4. Let f be z(d). Factor 2 - 4 - 2*n**4 - 11*n**f + 15*n**2.
-2*(n - 1)**2*(n + 1)**2
Let f be ((-246)/63 - -4)/1. Let a(b) be the first derivative of 4/7*b + 1/7*b**2 - f*b**3 + 1. Factor a(m).
-2*(m - 2)*(m + 1)/7
Factor 2/5*c**3 - 4/5*c**2 - 2/5*c + 4/5.
2*(c - 2)*(c - 1)*(c + 1)/5
Let x = 2 - -1. Solve i**3 + 8*i + x*i**2 + 4 + 0*i**3 + 2*i**2 = 0.
-2, -1
Suppose 5*g = 4*q + 25, 3*g - 8 = 3*q + 7. Factor z**2 - g*z**2 + 5*z**2 + 3*z + 2.
(z + 1)*(z + 2)
Let d(x) be the third derivative of x**6/660 + 7*x**5/330 + x**4/22 - 4*x**2. Factor d(t).
2*t*(t + 1)*(t + 6)/11
Suppose 5*d + 5*k - 35 = 0, 3*d + 3*k - 24 = -k. Suppose -l**5 - l**4 + 2*l**5 + 3*l**d = 0. What is l?
-2, 0
Let n(z) = -z**3 + 7*z**2 + 2*z - 10. Let a be n(7). Factor -6 - 11*h**2 - 27*h + a*h**2 - 14*h**2.
-3*(h + 1)*(7*h + 2)
Let b be (1/(-2))/((-7)/(-38)) - -3. Find j, given that 8/7*j + 8/7 + b*j**2 = 0.
-2
Let l(z) = z**3 - 8*z**2 - z + 11. Let j be l(8). Suppose -5*c - 25 = -2*i - i, -9 = -3*i - j*c. Factor 2*x**2 - 3*x**5 + 4*x**i - x + 2*x**4 - 4*x**2.
x*(x - 1)*(x + 1)**3
Let d(o) be the third derivative of o**8/112 + 3*o**7/56 + o**6/8 + o**5/8 - o**3/8 - 11*o**2. Factor d(q).
3*(q + 1)**4*(4*q - 1)/4
Suppose -32 = -3*j - 5*p, -p - 1 = -5. Factor l**3 + 2*l + 2*l**5 + 8*l**2 + 11*l**3 + 4*l**5 - 4*l**5 + 8*l**j.
2*l*(l + 1)**4
Let l(q) be the second derivative of 0 + 16/9*q**3 + 1/9*q**4 - 2/45*q**6 + 6*q + 2/63*q**7 - 1/3*q**5 + 8/3*q**2. Factor l(u).
4*(u - 2)**2*(u + 1)**3/3
Let v(a) be the third derivative of -a**5/45 + a**4/9 + 7*a**2. Factor v(t).
-4*t*(t - 2)/3
Let b(x) be the first derivative of 15*x**4/4 + 40*x**3/3 - 15*x**2/2 + 2. Solve b(m) = 0.
-3, 0, 1/3
Let z = -31 - -25. Let y be 3*((-22)/z + -3). What is x in 4/3 - 2*x + 2/3*x**y = 0?
1, 2
Factor 5 + 20*o - 3 - 2 + 25*o**3 + 60*o**2.
5*o*(o + 2)*(5*o + 2)
Determine w, given that 0 + 22/19*w**2 + 14/19*w**4 - 4/19*w - 32/19*w**3 = 0.
0, 2/7, 1
Factor 1/2 + 1/2*s**3 - 1/2*s - 1/2*s**2.
(s - 1)**2*(s + 1)/2
Let h be 94*(-5)/(-150) + (-2)/15. Let b(d) be the second derivative of -1/10*d**5 + 0*d**h + 0 + 1/15*d**6 - 4*d + 0*d**4 + 0*d**2. Find s such that b(s) = 0.
0, 1
Suppose 0 = 2*n - 1 - 3. Suppose 6 + 4 = -5*k + 5*b, n*b = k + 4. Solve -2/9*c + k*c**3 - 4/9*c**4 + 2/9*c**5 + 4/9*c**2 + 0 = 0.
-1, 0, 1
Let l be -12 - (-9)/(1 - 4). Let j b