**2 - 6*z. Let n(j) = 51*j**3 - 10*j**2 - 29*j - 1. Let f(h) = 11*k(h) - 2*n(h). Factor f(p).
2*(p - 1)*(p + 1)*(4*p - 1)
Let z = 19 - -3. Let a = -43/2 + z. Factor 0 - 1/2*r**3 + a*r**2 + r.
-r*(r - 2)*(r + 1)/2
Let z(w) be the second derivative of w**6/45 + w**5/30 - w**4/9 - 13*w. Let z(t) = 0. Calculate t.
-2, 0, 1
Let x(b) be the second derivative of b**4/12 + 8*b**3/3 + 32*b**2 - 18*b. Factor x(j).
(j + 8)**2
Let t be 4/6*(34/4 - 4). Factor -14/5*r - 6/5*r**t + 4/5 + 16/5*r**2.
-2*(r - 1)**2*(3*r - 2)/5
Let k(d) = -6*d**2 - d + 2. Let j(y) = y**2 - 5*y - 3. Let b be j(6). Let z(w) = -17*w**2 - 4*w + 5. Let u(i) = b*z(i) - 8*k(i). Suppose u(l) = 0. Calculate l.
-1, -1/3
Let s(r) be the first derivative of -9/5*r**3 + 9/10*r**2 - 1/5*r + 27/20*r**4 - 4. Factor s(f).
(3*f - 1)**3/5
Suppose 8*l - 245 = 3*l + 3*d, 0 = 4*l - 4*d - 204. Let -4*f**4 + 0 - 2*f - 38*f**2 - 4 + l*f**2 + 4*f**3 - 2*f**5 = 0. Calculate f.
-2, -1, 1
Suppose 0 = g - 2 - 1. Let b**2 - 2*b + b + 4*b + g - 7*b**2 = 0. What is b?
-1/2, 1
Find a such that 20/7 + 2/7*a**2 + 2*a = 0.
-5, -2
Let x(s) be the third derivative of -s**7/70 - s**6/10 + s**5/10 + 3*s**4/2 - 9*s**3/2 - 64*s**2. Factor x(p).
-3*(p - 1)**2*(p + 3)**2
Let x be -4*1 + (4 + 0)/1. Factor y**2 + 1/2*y**3 + 0 + x*y.
y**2*(y + 2)/2
Let w(u) = -1 + 3 + 6 - u. Let x be w(6). What is v in 2/5 - 4/5*v + 2/5*v**x = 0?
1
Let d(r) be the first derivative of 5*r**4/3 - 4*r**3 + 2*r**2 + 9*r + 7. Let x(v) be the first derivative of d(v). Factor x(f).
4*(f - 1)*(5*f - 1)
Suppose 3*f + 4*f**2 - 1 + 1 + f**3 + 0 = 0. Calculate f.
-3, -1, 0
Let u = 6 - 8. Let h be -1*-1*(-1)/u. Suppose -g + 0 - h*g**2 = 0. Calculate g.
-2, 0
Suppose 2*q = q. What is s in s - 1/2*s**3 - 1/2*s**2 + q = 0?
-2, 0, 1
Let p = 6 + 0. Let n = p + -6. Determine w, given that -7/2*w**5 + n + w + 5/2*w**3 + 9/2*w**4 - 9/2*w**2 = 0.
-1, 0, 2/7, 1
Let h(o) = o**2 - 5*o. Let r be h(5). Suppose -4 + 2 - 2*q**2 + r + 3*q + q = 0. Calculate q.
1
Let f(u) be the third derivative of u**9/60480 - u**8/6720 + u**7/1680 - u**6/720 + u**5/20 + 4*u**2. Let h(y) be the third derivative of f(y). Factor h(d).
(d - 1)**3
Let x(t) be the third derivative of 0 - 1/150*t**6 - 7/60*t**4 + 1/840*t**8 + 2/525*t**7 - 2/15*t**3 + 0*t - 4/75*t**5 - 4*t**2. Factor x(v).
2*(v - 2)*(v + 1)**4/5
Suppose 3*w = u + 1, 28 = 3*w + w + 4*u. Let m(f) = -f**2 + 3*f + 4. Let o be m(3). Factor v**2 + o*v**3 - 3*v**3 + 2*v**2 - w - 2.
(v - 1)*(v + 2)**2
Let h(d) be the third derivative of d**5/12 + 5*d**4/12 - 22*d**2. Factor h(o).
5*o*(o + 2)
Let v(r) be the first derivative of -r**7/525 + r**6/300 + 3*r**2/2 - 3. Let h(s) be the second derivative of v(s). Let h(c) = 0. What is c?
0, 1
Let q be (-3 - 1)*3/4. Let c be (11 - 2)/q*-1. Factor 0*j**c + 1/3*j - 1/3*j**5 - 2/3*j**2 + 0 + 2/3*j**4.
-j*(j - 1)**3*(j + 1)/3
Let b(i) be the first derivative of -4*i**3/3 + 8*i**2 + 20*i + 9. Determine v so that b(v) = 0.
-1, 5
Let a(l) be the first derivative of 2*l**3/5 - l**2/5 - 4*l/5 - 5. Factor a(k).
2*(k - 1)*(3*k + 2)/5
Let o(v) be the first derivative of 1/5*v**4 + 0*v**2 - 2/15*v**6 - 6 + 0*v + 4/15*v**3 - 4/25*v**5. Let o(p) = 0. Calculate p.
-1, 0, 1
Let k(d) be the first derivative of 3 + 2/3*d**3 - d**2 + 0*d. Factor k(p).
2*p*(p - 1)
Let q be 4 - (235/12)/5. Let w(x) be the second derivative of -3*x + 1/15*x**6 - 5/12*x**3 + 1/84*x**7 - 1/2*x**2 + 0 - q*x**4 + 1/10*x**5. Factor w(n).
(n - 1)*(n + 1)**3*(n + 2)/2
Suppose 3*b + 2*b + 5*h = -80, 0 = 5*b + 4*h + 81. Let d = b + 17. Factor -2/3*j**2 - 2/3*j + d.
-2*j*(j + 1)/3
Let q(r) = -r**3 + 2*r**2 + 7*r + 2. Let a(b) = -6*b**3 + 9*b**2 + 36*b + 10. Let j(n) = -2*a(n) + 11*q(n). Solve j(z) = 0 for z.
-2, -1
Let u(n) be the second derivative of -n**4/16 + 7*n**3/4 + 20*n. Find b such that u(b) = 0.
0, 14
Suppose -2*t = -0*t - 4. Let l(c) be the second derivative of 2/3*c**3 - 1/12*c**4 - c + 0 - 2*c**t. Determine i, given that l(i) = 0.
2
Suppose -2 = g - 2*g. Let o be (-2)/(-8) + 2/(-40). Factor -o - 4/5*f**3 - 9/5*f**g - 6/5*f.
-(f + 1)**2*(4*f + 1)/5
Suppose 0 = 3*a + 9 - 15. Let u(i) be the second derivative of 0 - 2/15*i**4 - 2/5*i**a - 1/3*i**3 + 2*i - 1/50*i**5. Suppose u(q) = 0. Calculate q.
-2, -1
Let b(w) = 2*w**2 + 9*w - 3. Let x be b(-5). Solve -1/3*z**x - 1/3*z + 0 = 0.
-1, 0
Let b(f) be the third derivative of 1/20*f**5 + 7/360*f**6 - 5*f**2 + 1/36*f**4 + 0 + 0*f + 0*f**3. Factor b(m).
m*(m + 1)*(7*m + 2)/3
Determine j so that -3*j + 13*j + j - 3*j**2 - 147 + 31*j = 0.
7
Let k = 14750 - 295063/20. Let a = k + 15/4. Factor -6/5 + 3/5*y**2 + a*y.
3*(y - 1)*(y + 2)/5
Let n(h) be the third derivative of h**8/1344 - h**6/240 + h**4/96 - 35*h**2. Suppose n(b) = 0. Calculate b.
-1, 0, 1
Solve -4/5*a + 0 - 14/5*a**3 + 14/5*a**2 + 4/5*a**4 = 0.
0, 1/2, 1, 2
Determine g, given that -6/7*g**4 + 0*g**2 + 0 + 6/7*g**3 + 0*g = 0.
0, 1
Let k(o) be the first derivative of 6 + 0*o**3 + 1/3*o**2 - 1/6*o**4 - 1/3*o + 1/15*o**5. What is x in k(x) = 0?
-1, 1
Let b(y) be the third derivative of 1/30*y**4 - 2*y**2 - 1/15*y**3 + 0*y**5 + 0*y + 1/525*y**7 - 1/150*y**6 + 0. Suppose b(f) = 0. What is f?
-1, 1
Let z(w) be the second derivative of -w**7/1260 + w**6/360 + w**4/3 - 5*w. Let j(q) be the third derivative of z(q). Solve j(u) = 0.
0, 1
Let b(y) = 5*y**2 - y. Let a be b(1). Suppose 23 = h + 5*m, -a*h - 4*m - m + 32 = 0. Let -1/2 + g**2 + 0*g**h + 0*g - 1/2*g**4 = 0. Calculate g.
-1, 1
Suppose -3*u - w = -9, -5 = -5*u + 3*w + 10. Suppose -y**2 - 16 + 8 + 4*y**u + 20*y - 15*y**2 = 0. What is y?
1, 2
Solve 0*c + 0 + 1/9*c**2 + 1/3*c**4 + 1/3*c**3 + 1/9*c**5 = 0 for c.
-1, 0
Suppose 5*u - 11 = -4*g, 4*u - 3*u - 11 = -3*g. Factor -2/3*t**3 + 0*t + 1/3*t**g + 0 + 1/3*t**2.
t**2*(t - 1)**2/3
Suppose 2*u + 8 = 0, 3*t + u = -7 + 3. Let o = t + 0. Factor 2/5*w**4 + 0*w**3 + 2/5 - 4/5*w**2 + o*w.
2*(w - 1)**2*(w + 1)**2/5
Let z(j) be the first derivative of j**4/18 - 2*j**3/27 + 20. Factor z(s).
2*s**2*(s - 1)/9
Let o(a) be the third derivative of -1/2016*a**8 + 1/144*a**4 + 1/630*a**7 + 0*a**6 + 0 + 0*a**3 + a**2 - 1/180*a**5 + 0*a. Factor o(z).
-z*(z - 1)**3*(z + 1)/6
Suppose 0 = -p - p + 4. Let m(h) = h - 1. Let u(t) = 3*t - 1. Let y(c) = p*m(c) - u(c). Let g(w) = 3*w**3 - 9*w - 6. Let s(a) = -g(a) + 6*y(a). Factor s(n).
-3*n*(n - 1)*(n + 1)
Let c(x) = x**3 - 5*x**2 - 8*x + 14. Let q be c(6). Factor q + 1/2*d**2 + 2*d.
(d + 2)**2/2
Let v = -21 + 25. Let g = -7/2 + v. Determine p so that g*p**3 + 1/2*p**2 - 1/2*p - 1/2 = 0.
-1, 1
Let w(m) be the second derivative of m**6/60 + 3*m**5/40 - m**3/3 - m. Factor w(i).
i*(i - 1)*(i + 2)**2/2
Let g(w) be the third derivative of -2*w**2 + 0*w + 1/6*w**4 - 1/3*w**3 - 1/30*w**5 + 0. Factor g(r).
-2*(r - 1)**2
Let y(f) be the second derivative of -f**9/3528 + 11*f**8/5880 - 2*f**7/735 - f**6/315 + 5*f**3/6 + 7*f. Let a(s) be the second derivative of y(s). Factor a(o).
-2*o**2*(o - 2)**2*(3*o + 1)/7
Let q = 1 + -2. Let c be q*(-1 + 2)*-2. Factor 9*m**4 - 2*m**2 + m**3 + c*m**3 + 4*m**3.
m**2*(m + 1)*(9*m - 2)
Let r(l) be the second derivative of -l**6/75 + 2*l**5/25 - l**4/5 + 4*l**3/15 - l**2/5 + 2*l. Find j such that r(j) = 0.
1
Suppose -3*v + 12 = -0*v. Let o = 6 - v. Factor 0*t**2 - 2*t + 0*t - 2 + 2*t**o - 2.
2*(t - 2)*(t + 1)
Let m(k) = -k**3 + 5*k**2 + 9*k - 9. Let d be m(6). Suppose -5 = -7*g + d. Find r, given that 0 - 2/3*r + 4/3*r**g - 2/3*r**3 = 0.
0, 1
Let o(t) be the first derivative of t**5/48 + t**4/12 - t**3/6 - 2*t**2 + 4. Let c(d) be the second derivative of o(d). Factor c(s).
(s + 2)*(5*s - 2)/4
Factor -8*b**2 - 16*b**4 + b**3 + 19 - 19 - 21*b**3 - 4*b**5.
-4*b**2*(b + 1)**2*(b + 2)
Let y(g) be the second derivative of g**7/84 + g**6/12 + 7*g**5/40 - g**4/24 - 2*g**3/3 - g**2 + 6*g. Find v, given that y(v) = 0.
-2, -1, 1
Let j = 29 - 28. Let m be (0 - j)/(21/(-12)). Determine b so that 2/7*b + m - 4/7*b**2 - 2/7*b**3 = 0.
-2, -1, 1
Let x = -65 - -65. Let p(y) be the third derivative of 3/8*y**3 + 1/240*y**5 + x*y + 1/16*y**4 - 3*y**2 + 0. Factor p(n).
(n + 3)**2/4
Let v(g) be the second derivative of g**7/504 - g**6/135 + g**5/360 + g**4/36 - g**3/6 + g. Let a(b) be the second derivative of v(b). Factor a(y).
(y - 1)**2*(5*y + 2)/3
Find h such that 75/7*h**2 + 3/7*h**4 + 81/7*h + 27/7*h**3