 + 7*p**2 + 7*p + 10. Let j be q(-6). Let c(m) be the third derivative of 0 + 0*m + 1/96*m**j + 1/240*m**5 - 3*m**2 + 0*m**3. Factor c(t).
t*(t + 1)/4
Let 9*d**2 - 18*d + 12 - 3/2*d**3 = 0. Calculate d.
2
Let h(v) = 3*v**2 + 2*v - 1. Suppose 5*n - 2 - 3 = 0. Let y be h(n). Factor -4*x**2 - 2*x**y + 3 - 2 + 3*x**4 + 2*x**2.
(x - 1)**2*(x + 1)**2
Let b(f) be the second derivative of -3*f**5/20 + 7*f**4/12 - 5*f**3/6 + f**2/2 + 5*f. Suppose b(z) = 0. Calculate z.
1/3, 1
Factor -21/4*z + 0*z**2 + 9/2 + 3/4*z**3.
3*(z - 2)*(z - 1)*(z + 3)/4
Let j(o) be the second derivative of -o**6/60 - o**5/40 + o**4/8 + 5*o**3/12 + o**2/2 + 14*o - 2. Solve j(s) = 0.
-1, 2
Let w(b) be the first derivative of -1 + 1/6*b**3 + 2*b + 1/12*b**4 + 0*b**2. Let q(n) be the first derivative of w(n). Determine d, given that q(d) = 0.
-1, 0
Let t(i) = -4*i**4 + 2*i. Suppose 0*h + 4*h = -112. Let c = 18 + h. Let m(n) = 7*n**4 + n**3 + n**2 - 3*n. Let y(s) = c*t(s) - 6*m(s). Factor y(x).
-2*x*(x + 1)**3
Suppose 5*l = 3*h, 4*l - 5*h + 12 = -1. Determine x, given that x - x**l + x**2 + 4*x**2 - 5*x**2 = 0.
-1, 0, 1
Let k = 29/66 - -5/22. Factor 0 + 0*v - k*v**5 + 0*v**2 + 0*v**4 + 2/3*v**3.
-2*v**3*(v - 1)*(v + 1)/3
Let p(f) be the third derivative of -f**7/420 + f**6/240 + f**5/120 - f**4/48 - f**2 + f. Find v such that p(v) = 0.
-1, 0, 1
Determine z so that -35*z**5 - 17*z + 17*z + 47*z**4 - 20*z**3 - 127*z**4 = 0.
-2, -2/7, 0
Let m = -5 - -2. Let s be 20/6 - (0 - m). Let 0*h - s*h**2 + 0 = 0. Calculate h.
0
Let f(j) be the third derivative of 0 - 1/240*j**5 + 0*j**4 + 1/24*j**3 + j**2 + 0*j. Factor f(t).
-(t - 1)*(t + 1)/4
Let o be ((-4 - -2)*-11)/4. Let a = 6 - o. Factor 1/4*d**2 + 0 + a*d.
d*(d + 2)/4
Let a be 2 - 34/10 - -2. Let w(c) be the first derivative of 1/2*c**4 - a*c**5 + 1/6*c**6 + c + 2 + 2/3*c**3 - 3/2*c**2. Factor w(v).
(v - 1)**4*(v + 1)
Suppose -4*u + u - 56 = 5*s, -2*s - 14 = 4*u. Let o = 16 + s. Find c such that 0*c**2 - 1/4*c**o + 1/4*c + 0 = 0.
-1, 0, 1
Let k(s) be the third derivative of -s**5/80 + s**3/2 + 13*s**2. Factor k(b).
-3*(b - 2)*(b + 2)/4
Let q(l) = l**2 - 4*l - 1. Let k be q(5). Let c be ((-44)/99)/(2*1/(-2)). Factor -2/9*m**k + 2/9*m**5 + 2/9*m + 4/9*m**2 - c*m**3 - 2/9.
2*(m - 1)**3*(m + 1)**2/9
Let z = 58 + -58. Factor z*k + 2/3*k**2 + 0 + 2/3*k**4 - 4/3*k**3.
2*k**2*(k - 1)**2/3
Let b(m) = m**2 + 11*m + 26. Let u be b(-8). Let z(v) be the first derivative of 1 - 1/7*v**u - 2/21*v**3 + 0*v. Factor z(k).
-2*k*(k + 1)/7
Let y(s) be the first derivative of 2*s**4 - 68*s**3/3 + 80*s**2 - 64*s - 3. Factor y(r).
4*(r - 4)**2*(2*r - 1)
Let r(b) = -b**3. Let j(h) = -37*h**3 - 68*h**2 + 8*h. Let u(t) = j(t) - r(t). Let u(s) = 0. Calculate s.
-2, 0, 1/9
Let d be (3 - 1)*6/4. Let j = -3 - -8. Factor 2*b**4 + 3*b**5 + b**d - 2*b**j - 4*b**4.
b**3*(b - 1)**2
Let c(g) be the second derivative of g**7/1680 - g**5/240 - g**3/2 + 3*g. Let u(a) be the second derivative of c(a). Solve u(l) = 0.
-1, 0, 1
Let z(l) be the third derivative of -l**8/28 - 4*l**7/105 + l**6/30 + 5*l**2. Factor z(i).
-4*i**3*(i + 1)*(3*i - 1)
Determine a, given that 9/7 - 6/7*a + 1/7*a**2 = 0.
3
Let m = 89/58 + -1/29. Factor 3/4*w - m*w**2 + 3/4*w**3 + 0.
3*w*(w - 1)**2/4
Let k(a) be the first derivative of -5*a**4/4 + 10*a**3/3 - 5*a**2/2 + 7. Factor k(f).
-5*f*(f - 1)**2
Determine v, given that -6 - 9/2*v**2 + 3/4*v**3 + 9*v = 0.
2
Suppose 8 + 20 = -4*v - 4*z, -4*v - 5*z = 32. Let j be v/2*32/(-24). What is t in -j*t**3 + 0 + 0*t + 8/3*t**4 - 2/3*t**2 = 0?
-1/4, 0, 1
Let a(t) be the third derivative of 7*t**6/80 + 111*t**5/20 + 108*t**4 - 128*t**3 + t**2 + 12. Factor a(d).
3*(d + 16)**2*(7*d - 2)/2
Let m(i) be the second derivative of -3*i - 25/14*i**5 + 25/14*i**4 + 1/7*i**2 + 0 - 5/7*i**3. Solve m(o) = 0.
1/5
Let d be 4 + 84/(-24) - 6/(-4). Find l such that 2/3*l**d + 2/3*l**3 + 0*l + 0 = 0.
-1, 0
Let q = -275 + 6601/24. Let v(d) be the third derivative of q*d**3 - 1/48*d**4 + 1/240*d**5 + 0*d + 0 + 2*d**2. Factor v(f).
(f - 1)**2/4
Suppose 5*m - 37 = -197. Let v be ((-78)/m)/(6/8). Let 7*x**5 - x + 8*x**2 + 0 + v*x**4 - 69/4*x**3 = 0. Calculate x.
-2, 0, 1/4, 2/7, 1
Let i(v) = v**2 + 1. Let x(q) = -2*q**3 + 3*q**2 + 7. Let u(p) = -6*i(p) + x(p). Factor u(m).
-(m + 1)**2*(2*m - 1)
Let f(d) be the second derivative of -d**6/1260 + d**5/140 + d**3/6 - 5*d. Let g(n) be the second derivative of f(n). Factor g(l).
-2*l*(l - 3)/7
Factor 22*m**2 - 5*m**4 - 17*m**2 - 15*m - 2*m**3 + 5*m + 12*m**3.
-5*m*(m - 2)*(m - 1)*(m + 1)
Factor -3*r**3 + 0 - 3/2*r + 9/2*r**2.
-3*r*(r - 1)*(2*r - 1)/2
Let q = -108 + 108. Solve q + 4/3*s + 2*s**2 - 2/3*s**4 + 0*s**3 = 0 for s.
-1, 0, 2
Let z(v) = -v**2 - v + 4. Let j be z(0). Let p(o) be the first derivative of 0*o - 1 + o**2 + 1/2*o**j - 4/3*o**3. Factor p(h).
2*h*(h - 1)**2
Suppose -5 = -3*y + 10. Let q be 4/48*(y + -2). Let 1/4*i**2 + 0 - q*i**3 + 0*i = 0. What is i?
0, 1
Let n(f) = 2*f + 45. Let u be n(-21). Find x, given that 3/4*x**2 + u*x + 9/4 = 0.
-3, -1
Let t be ((-6)/16)/(((-30)/4)/5). Solve 0*n + t - 1/4*n**2 = 0 for n.
-1, 1
Let i(a) be the second derivative of -a**5/20 + 3*a**4/28 + 2*a**3/7 - 2*a**2/7 + 8*a. Solve i(p) = 0.
-1, 2/7, 2
Find q, given that -1/7*q**2 + 1/7*q + 0 = 0.
0, 1
Let b(z) be the second derivative of 0*z**6 - 1/6*z**3 + 0 + 0*z**4 + 1/10*z**5 - 1/42*z**7 + 3*z + 0*z**2. Find i, given that b(i) = 0.
-1, 0, 1
Let c(w) be the first derivative of -w**5/5 - w**4 - 5*w**3/3 - w**2 + 11. Factor c(o).
-o*(o + 1)**2*(o + 2)
Suppose d + 5*d = 0. Factor l - 4*l**3 - 4*l**2 + 8*l + d*l**2 - l.
-4*l*(l - 1)*(l + 2)
Let -9/4*c**3 + 0 + 3*c - 3*c**4 - 3/4*c**5 + 3*c**2 = 0. What is c?
-2, -1, 0, 1
Find t such that -12/5*t**4 - 2/5 - 42/5*t**2 + 38/5*t**3 + 18/5*t = 0.
1/6, 1
Let g(r) = r + 8. Let z be g(-5). Suppose 2*n + 2 = z*n. Factor 4*s**3 - 3*s**3 - 2 + n*s**2 - 2*s + s**3.
2*(s - 1)*(s + 1)**2
Let q(m) = 4*m**2 - 2*m - 2. Let i = 28 + -10. Let t(x) = x**3 - 17*x**2 + 8*x + 8. Let k(g) = i*q(g) + 4*t(g). Factor k(b).
4*(b - 1)*(b + 1)**2
Let j = 135 - 131. Let -2/3*s**3 + 2*s**j + 4/3*s + 0 - 2/3*s**5 - 2*s**2 = 0. Calculate s.
-1, 0, 1, 2
Suppose 2*v + v = 66. Let s be v/28 - (-2)/(-7). Factor s*m + 1/4*m**2 + 1/4.
(m + 1)**2/4
Let k(g) be the first derivative of -3*g**6/4 - 3*g**5/10 + 3*g**4/4 - 17. Factor k(o).
-3*o**3*(o + 1)*(3*o - 2)/2
Let y be ((-18)/(-1500))/(24/10). Let o(a) be the third derivative of 0 + 1/100*a**5 + 3*a**2 - y*a**6 + 0*a**3 + 0*a**4 + 0*a. Factor o(u).
-3*u**2*(u - 1)/5
Let s(f) be the first derivative of -f**8/4200 + f**7/2100 + f**6/900 - f**5/300 + 2*f**3/3 - 2. Let h(d) be the third derivative of s(d). Factor h(u).
-2*u*(u - 1)**2*(u + 1)/5
Suppose -3*h + 93 = 21. Suppose 6 = 2*l - l. Solve 48*z**3 - h*z - 4 - 5*z**3 + l*z**3 - 21*z**2 = 0 for z.
-2/7, 1
Let c(m) be the third derivative of -m**8/1260 - m**7/2520 + m**6/270 + m**5/360 + m**3/3 - m**2. Let a(d) be the first derivative of c(d). Factor a(r).
-r*(r - 1)*(r + 1)*(4*r + 1)/3
Let o(c) be the second derivative of c**6/15 - 9*c**5/10 + 4*c**4 - 16*c**3/3 - 15*c. Determine p, given that o(p) = 0.
0, 1, 4
Let m(j) = j**3 + 5*j**2 + 2*j + 1. Let g be m(-4). Factor -4*t**3 + t - 17*t - g - 14*t**2 + 3.
-2*(t + 1)**2*(2*t + 3)
Factor -8/9 + 4/9*g**2 - 4/9*g.
4*(g - 2)*(g + 1)/9
Suppose 4*y = -5*r - 3, 3*y - 4*r - 18 = y. Find k, given that 2/9*k**y + 2/9*k**2 - 2/9 - 2/9*k = 0.
-1, 1
Let r be 0/3 - -2 - (-4)/2. Let n(k) be the second derivative of -1/6*k**3 + 0 - 1/2*k**2 + 4*k - 1/48*k**r. Factor n(c).
-(c + 2)**2/4
Suppose -t - 3 = -2*u, -t + 6 = -u - 3*t. Let p(r) be the first derivative of -2/27*r**3 - 1/9*r**2 + u*r - 2. Find s, given that p(s) = 0.
-1, 0
Let b(r) be the second derivative of r**5/120 + 5*r**4/72 + 7*r**3/36 + r**2/4 + 16*r. Factor b(k).
(k + 1)**2*(k + 3)/6
Let v(b) be the first derivative of 9*b**4/16 + 17*b**3/6 + 19*b**2/8 - 3*b/2 - 15. Solve v(y) = 0.
-3, -1, 2/9
Suppose -5*z = -7*z + 4. What is t in 3*t + 4*t**2 - 5*t**3 + 0*t**2 - 4*t**3 + z*t**2 = 0?
-1/3, 0, 1
Let y(m) = -10*m**3 + 5*m**2 - 5. Let s(n) = -n**3 - n. Let w(z) = 5*s(z) - y(z). What is b in w(b) = 0?
-1, 1
Suppose -2*t = 3*t - 70. Let d = -27/2 + t. What is x in 1/2*x**2 + 0 - d*x = 0?
0, 1
Let i(x) be the first derivative of x**6/40 + x**5/