vative of -k + 5 + k**2 - 1/3*k**3. Factor j(q).
-(q - 1)**2
Let s(a) be the first derivative of a**3/3 + 6*a**2/7 - 4*a/7 - 22. Solve s(w) = 0.
-2, 2/7
Suppose -3*t = 1 - 13. Let y = t + 0. Determine x, given that -3*x**4 + 4*x**2 + 2*x**y - 6*x - x**2 + 4*x = 0.
-2, 0, 1
Find c, given that 6*c**2 + 2*c**2 + 0*c**4 - 4*c**5 + 4*c - c**4 - 7*c**4 = 0.
-1, 0, 1
Suppose -3 = x - 4*g + 5, -2*g + 16 = -2*x. Let j be ((-4)/x)/(1/4). Let -9*a + a**2 - 1 - 16*a**3 + 23*a**j + 2 = 0. What is a?
1/4, 1
Suppose 2*b = -4, -d - 6 = 5*b + 2. Suppose 0 = -v - d*v + 6. What is m in 2 - 2 + v + m**3 - 3*m = 0?
-2, 1
Let m(r) = -r**5 + 2*r**4 - 3*r**3 - 9*r**2 - r + 7. Let j(b) = -b**3 - b**2 + 1. Let p(n) = -5*j(n) + m(n). Let p(y) = 0. Calculate y.
-1, 1, 2
Let w(g) be the third derivative of -g**6/24 - g**5/6 + 5*g**4/24 + 5*g**3/3 + g**2. Factor w(p).
-5*(p - 1)*(p + 1)*(p + 2)
Let r = -2175/2 - -212063/195. Let u(t) be the third derivative of t**2 + 0 + 0*t**3 + 0*t - 1/78*t**4 - r*t**5. Factor u(o).
-2*o*(o + 2)/13
Let t = 30 - 27. Let g(p) be the second derivative of -p + 0*p**2 - 1/30*p**6 + 0 + 1/12*p**4 + 1/20*p**5 - 1/6*p**t. Factor g(r).
-r*(r - 1)**2*(r + 1)
Suppose -43*t**2 + t**4 - 4*t**5 + 4*t**3 + 3*t**4 + 39*t**2 = 0. What is t?
-1, 0, 1
Factor -2/3*j**3 + 2/3*j**5 + 2/3*j**4 + 0 - 2/3*j**2 + 0*j.
2*j**2*(j - 1)*(j + 1)**2/3
Let d(y) be the first derivative of 1/4*y**3 + 1/8*y**6 - 1/4*y**2 + 3/16*y**4 - 7/20*y**5 + 0*y + 1. Factor d(x).
x*(x - 1)**3*(3*x + 2)/4
Let a be ((0 - -1)*27)/1. Let k(p) = -48*p**3 + 27*p**2 + 90*p - 42. Let o(u) = -7*u**3 + 4*u**2 + 13*u - 6. Let x(m) = a*o(m) - 4*k(m). Factor x(d).
3*(d - 1)**2*(d + 2)
Let z(p) = -p**2 - 3*p + 1. Let a be z(-2). Solve -4/5 - 6/5*y**2 + 18/5*y - 28/5*y**a = 0.
-1, 2/7, 1/2
Suppose -2*z + 4 = -0. Let -2*j**3 + 0*j**2 - 5*j**2 + 3*j**2 + z*j**5 + 2*j**4 = 0. Calculate j.
-1, 0, 1
Let p be (-4)/(-18)*3*(-4)/(-8). Find l, given that 1/6*l**2 + 1/6 + p*l = 0.
-1
Let z(o) be the third derivative of o**9/45360 - o**8/20160 + o**4/12 - 2*o**2. Let y(i) be the second derivative of z(i). Factor y(w).
w**3*(w - 1)/3
Let z(d) = -11*d**4 + 6*d**3 + 36*d**2 - 40*d + 9. Let r(t) = 10*t**4 - 5*t**3 - 35*t**2 + 40*t - 10. Let k(o) = -6*r(o) - 5*z(o). Find x, given that k(x) = 0.
-3, 1
Let j(i) = i**2 - i + 2. Suppose 0 = 2*y - b + 2*b, b = 4*y - 12. Let h be j(y). Find u, given that -u**3 + 1/2*u**5 - u**2 + 1/2*u**h + 1/2*u + 1/2 = 0.
-1, 1
Factor -x - 1/2*x**2 + 1/2*x**3 + 0.
x*(x - 2)*(x + 1)/2
Let g(b) = -7*b**3 + 7*b**2 - 2*b + 11. Let h(m) = m**3 - m**2 - 1. Let r(a) = 2*g(a) + 18*h(a). Factor r(d).
4*(d - 1)**2*(d + 1)
Let i be (2 + 64/(-30))/((-7)/35). Factor 2/3*v**2 + i*v + 0.
2*v*(v + 1)/3
Let x(l) be the first derivative of l**4/4 + 3*l**3 + 3*l**2 - 4*l + 2. Let a be x(-8). Factor 2*r**2 - 5*r**4 + r**3 - 2*r**2 - a*r**5 + r**3.
-r**3*(3*r + 2)*(4*r - 1)
Let h(q) be the third derivative of q**7/280 + q**6/360 - q**5/40 - q**4/24 - 5*q**3/6 + 3*q**2. Let w(o) be the first derivative of h(o). Factor w(y).
(y - 1)*(y + 1)*(3*y + 1)
Let x be 3 + -1 - (-6 + 6). Let d**5 - 16*d + 128*d**3 - 140*d**4 - 24*d**x + 3 + 47*d**5 + 1 = 0. What is d?
-1/3, 1/4, 1
Suppose 7*r - 4*r = -9, 4*g = 4*r - 84. Let k be -2 - (148/g + 4). Suppose k*a + 1/6*a**2 + 0 = 0. What is a?
-1, 0
Solve 1/6*v**2 + 6 - 2*v = 0.
6
Let f = -2/1097 + -53749/2194. Let c = f + 25. Factor 1/2 + o + c*o**2.
(o + 1)**2/2
Let 8 + 4*f - 71*f**3 - 104*f**4 - 3*f**5 - 24*f**5 - f**5 - 64*f**2 - 65*f**3 = 0. What is f?
-1, 2/7
Let k = 222/25 + -44/5. Let l(v) be the first derivative of -2/15*v**3 + k*v**5 + 2/5*v**2 - 3 - 1/5*v**4 + 0*v. Factor l(x).
2*x*(x - 2)*(x - 1)*(x + 1)/5
Let q(i) = -i**2 + 6*i - 3. Let u be q(2). Suppose 5*n + 2*n**2 - u*n + 3*n - n = 0. Calculate n.
-1, 0
Solve -2/13*f**4 + 4/13 - 2/13*f**2 + 6/13*f**3 - 6/13*f = 0.
-1, 1, 2
Let v(t) be the third derivative of t**8/3360 - t**7/840 + t**5/120 - t**4/48 - t**3/6 + t**2. Let o(l) be the first derivative of v(l). Factor o(j).
(j - 1)**3*(j + 1)/2
Let u(b) be the second derivative of -1/270*b**5 + 2/27*b**3 - 3/2*b**2 + 1/108*b**4 + 0 + b. Let y(f) be the first derivative of u(f). Factor y(p).
-2*(p - 2)*(p + 1)/9
Let i(q) be the second derivative of -q**4/36 - 4*q**3/3 - 24*q**2 - 26*q. Find x such that i(x) = 0.
-12
Let p(g) be the first derivative of -44*g**3/9 + 6*g**2 + 8*g/3 - 15. Factor p(u).
-4*(u - 1)*(11*u + 2)/3
Let n(l) be the second derivative of -2/21*l**3 - 1/70*l**5 + l + 0 + 0*l**2 - 1/14*l**4. Factor n(s).
-2*s*(s + 1)*(s + 2)/7
Let z(h) = h - 1. Let p be z(5). Factor -p + 3 - 4*o**2 + 5*o**2.
(o - 1)*(o + 1)
Suppose -2/13*v**2 + 8/13*v + 10/13 = 0. What is v?
-1, 5
Suppose -4*g + 4 = 5*s - 8, -g = s - 3. Let z(c) be the third derivative of -1/6*c**4 + 1/15*c**5 - c**2 + 1/6*c**3 + s*c + 0. Factor z(m).
(2*m - 1)**2
Factor 96/5 - 3/5*m**3 - 96/5*m + 6*m**2.
-3*(m - 4)**2*(m - 2)/5
Let x be (-5)/(-2*(-8)/(-84)). Let j = -26 + x. Factor 1/2*v + 1/4 + j*v**2.
(v + 1)**2/4
Suppose 0 = 5*c + 59 - 14. Let g be 1 - (6/c)/2. Factor g*k**2 + 0*k - 14/3*k**4 - 10/3*k**3 + 0.
-2*k**2*(k + 1)*(7*k - 2)/3
Let u be ((-104)/24 - -4) + 20/6. Let l(k) be the second derivative of -1/2*k**3 + u*k**2 - 1/4*k**4 + 4*k + 0. Solve l(t) = 0.
-2, 1
Let x = 2/11 + 4/99. Let 0 - x*t**3 - 2/9*t - 4/9*t**2 = 0. What is t?
-1, 0
Factor -1/3*y**2 + 4/3 + y.
-(y - 4)*(y + 1)/3
Let -45/4*a**2 + 15/4 + 5*a**3 - 25/2*a = 0. Calculate a.
-1, 1/4, 3
Suppose 4*v = 5 + 3. Let c be 21/9*(-8)/(-28). Solve 1/3*m**v + c*m - 8/3*m**3 + 5/3*m**4 + 0 = 0.
-2/5, 0, 1
Suppose 5*u = -5*y - 5, 2*y - 2*u - 8 = y. Factor 0*w + 25/3*w**4 - 10/3*w**3 + 0 + 1/3*w**y.
w**2*(5*w - 1)**2/3
Let c be (34/20 + -1 + -1)*-15. Factor -c*z**2 + 7/2*z**4 - 5/2*z + 1 + 5/2*z**3.
(z - 1)*(z + 1)**2*(7*z - 2)/2
Let x(z) = -z**2 - 44*z + 108. Let d(w) = w**2 + 86*w - 216. Let l(v) = -4*d(v) - 7*x(v). Let l(k) = 0. Calculate k.
6
Let j(w) be the first derivative of 3/2*w**2 + 0*w + 0*w**3 - 1/90*w**5 - 1/36*w**4 - 3. Let a(r) be the second derivative of j(r). Factor a(m).
-2*m*(m + 1)/3
Let k(a) be the first derivative of a**3/6 - a**2/4 + 4. Factor k(z).
z*(z - 1)/2
Suppose 0 = 5*p + 4*v + 228, -4*v = p - 2*p - 60. Let x be 6/8*p/(-63). Let -x*g**3 + 2/7*g**4 + 0*g**2 - 2/7 + 4/7*g = 0. Calculate g.
-1, 1
Let y(x) = -4*x**3 - 7*x**2 + 6*x. Let o(t) = t**4 + 3*t**3 + 7*t**2 - 7*t. Let i(p) = 3*o(p) + 4*y(p). Determine q, given that i(q) = 0.
-1, 0, 1/3, 3
Suppose 4*s + 2*d - 2 = 0, 5*s - 5*d = -8 + 48. Find h, given that 2 - 5*h - 15*h - 1 - s - 50*h**2 = 0.
-1/5
Suppose 0 = -0*l - 2*l - 12. Let s be (-3)/84*l*4. Factor 6/7*a**2 - 2/7*a**3 + 2/7 - s*a.
-2*(a - 1)**3/7
Let o(c) = 2*c - 7. Let p be o(6). Suppose 0 = p*h - 22 + 7. Let 2*q**h + 3 + 10*q - 2 + 1 + 6*q**2 - 4*q = 0. Calculate q.
-1
Suppose 6 - 4*p**3 - 2 + 4*p + 1 - 1 - 4*p**2 = 0. Calculate p.
-1, 1
Let z(l) = l**5 - 3*l**4 - 5*l**3 - 5*l**2 - 4. Let b = 14 - 25. Let n(a) = -3*a**5 + 8*a**4 + 14*a**3 + 14*a**2 + 11. Let v(p) = b*z(p) - 4*n(p). Factor v(j).
j**2*(j - 1)*(j + 1)**2
Let i(a) be the second derivative of -a**4/4 + a**3/6 + a**2 + 7*a. Factor i(s).
-(s - 1)*(3*s + 2)
Let d(m) = m**2 - 21*m + 26. Let y(z) = -5*z**2 + 85*z - 105. Let b(j) = 15*d(j) + 4*y(j). Factor b(o).
-5*(o - 3)*(o - 2)
Let p(x) be the third derivative of x**10/10080 + x**9/2160 + x**8/1344 + x**7/2520 - x**4/24 + 3*x**2. Let f(k) be the second derivative of p(k). Factor f(i).
i**2*(i + 1)**2*(3*i + 1)
Let n be (-1 - (-6)/4)*6. Let f(p) = 2*p**2 + p + 1. Let o be f(-1). Find r such that 4*r**2 + o*r**3 - 2*r**3 + 10*r**n = 0.
-2/5, 0
Suppose 9 - 3 = 3*a. What is b in 3*b**3 - a*b**4 + 3*b**4 + b + 3*b**4 - 3*b**2 - 5*b**4 = 0?
0, 1
Let l(k) = k**4 + 14*k**3 - 18*k**2 + 10*k + 3. Let o(c) = -2*c**4 - 42*c**3 + 54*c**2 - 30*c - 8. Let i(m) = 14*l(m) + 5*o(m). Factor i(s).
2*(s - 1)**3*(2*s - 1)
Let g(r) be the third derivative of r**7/1470 - r**6/840 - r**5/140 + r**4/168 + r**3/21 - 15*r**2. Factor g(f).
(f - 2)*(f - 1)*(f + 1)**2/7
Let c = -9 + 37. Let d be (0 - 2)*(-6 + 1). Determine y so that d*y**2 - 2 - 2*y + 2*y**2 + 0*y**5 + 22*y**4 + 6*y**5 + c*y**3 = 0.
-1, 1/3
Let b(x) = 3*x**2 - x. Let j be b(-1). Factor -3 + o + 5 - 7*o + 2*o**2 - 2*o**3 + j*o**2.
-2*(o - 1)*