t s be -3 - -2 - -3 - (2 - 2). Factor -1 - 1/4*n**s - n.
-(n + 2)**2/4
Let r(u) = 5 - 68*u**2 - 7*u + 25*u**2 + 4*u - 67*u**3. Let k(x) = 101*x**3 + 65*x**2 + 5*x - 7. Let g(y) = -5*k(y) - 7*r(y). Factor g(f).
-4*f*(3*f + 1)**2
Let i(u) be the third derivative of u**7/1050 - u**6/600 - u**5/300 + u**4/120 - 4*u**2. Let i(h) = 0. What is h?
-1, 0, 1
Let t be -6 + (-2 + -2)/2. Let c = t - -11. Factor 4*m**3 + 2*m**c - m - 5*m**3.
m*(m - 1)*(m + 1)
Let b be 1/((-42)/9)*16/(-6). Suppose 4/7*r**3 - 4/7*r**2 + 4/7 - b*r = 0. Calculate r.
-1, 1
Let w(z) be the first derivative of -z**4/2 + 2*z**3 + z**2 - 6*z - 15. Factor w(d).
-2*(d - 3)*(d - 1)*(d + 1)
Let u be 1/(-14)*7/(-2). Determine a, given that 1/4 - u*a - 1/2*a**2 = 0.
-1, 1/2
Suppose 1/6*a**2 + 0 - 1/6*a = 0. Calculate a.
0, 1
Let -2/3*w + 1 - 1/3*w**2 = 0. What is w?
-3, 1
Determine v, given that -3/5*v**3 + 0*v + 0*v**2 + 9/5*v**5 + 0 + 6/5*v**4 = 0.
-1, 0, 1/3
Suppose 5*o = -o - 6. Let l be (o - -1)/(1 + -3). Factor 3/4*r**4 + 0*r + l + 0*r**3 - 3/4*r**2.
3*r**2*(r - 1)*(r + 1)/4
Determine t so that -38*t**3 - 7*t**4 - 14*t**4 + 82*t**2 + 3*t**4 + 9 - 1 - 48*t + 14*t**5 = 0.
-2, 2/7, 1
Let b(p) be the second derivative of p**7/70 - p**5/10 + p**3/2 + p**2/2 - 2*p. Let l(a) be the first derivative of b(a). Factor l(z).
3*(z - 1)**2*(z + 1)**2
Let y(j) be the first derivative of 7*j**6/9 - 6*j**5/5 - 5*j**4/6 + 2*j**3 - 2*j**2/3 + 8. What is c in y(c) = 0?
-1, 0, 2/7, 1
Suppose 0*a + 5/3*a**2 - 20/3 = 0. What is a?
-2, 2
Suppose -3*f + 12 + 0 = h, -5*f = -4*h - 3. Let m be (-26)/(-42) + 2/(-6). Determine p, given that 6/7*p + m*p**f + 2/7 + 6/7*p**2 = 0.
-1
Let q(x) be the second derivative of 1/42*x**4 + 2*x + 0*x**2 + 0 + 0*x**3 + 1/70*x**5. Factor q(l).
2*l**2*(l + 1)/7
Let i(w) = -w**5 - 4*w**3 - 6*w**2 + 2*w. Let a(p) = p**5 - p**4 + 3*p**3 + 5*p**2 - 2*p. Let d(l) = -3*a(l) - 2*i(l). Factor d(x).
-x*(x - 2)*(x - 1)**2*(x + 1)
Solve 1/5*u**2 + 2/5*u + 0 = 0 for u.
-2, 0
Suppose -3*v = -3 - 0. What is l in -5*l - 9*l**2 - v - l + 4 + 12*l**2 = 0?
1
Suppose s = 21 - 18. Let h(f) be the first derivative of s*f + 3/5*f**5 + 3 - 6*f**2 + 6*f**3 - 3*f**4. Factor h(x).
3*(x - 1)**4
Let x(s) be the third derivative of 1/9*s**4 + 0 + 0*s + s**2 - 2/9*s**3 - 1/45*s**5. Suppose x(j) = 0. Calculate j.
1
Let t(y) be the third derivative of 1/90*y**5 + 0*y + 0 + 1/60*y**6 + 2*y**2 + 1/504*y**8 + 1/105*y**7 + 0*y**3 + 0*y**4. Suppose t(f) = 0. What is f?
-1, 0
Suppose 4*m + 4*z = -0*z + 16, -4*z = -5*m - 16. Let q(w) be the first derivative of -2/33*w**3 + m*w + 0*w**2 - 3 + 1/22*w**4. Factor q(d).
2*d**2*(d - 1)/11
Let u be (6*-1)/((-2)/1). Let p = 5 - 3. Determine k, given that u*k**2 + k**3 + p*k + k - k = 0.
-2, -1, 0
Let f(h) be the second derivative of -h**6/180 + h**4/12 - h**3/2 + h. Let y(c) be the second derivative of f(c). Factor y(p).
-2*(p - 1)*(p + 1)
Let k be ((-6)/180*-6)/(2/5). Let v(n) be the first derivative of -3/4*n**2 - 3 + k*n - 1/8*n**4 + 1/2*n**3. Factor v(d).
-(d - 1)**3/2
Let j be ((-10)/35 - 0)/(8/(-14)). Let d(m) be the first derivative of 6/5*m**5 + 0*m**2 + 1 + 0*m**3 - 3/4*m**4 + 0*m - j*m**6. Factor d(r).
-3*r**3*(r - 1)**2
Let b = 431/4050 - 7/81. Let y(c) be the second derivative of 1/15*c**3 - 1/30*c**4 + 1/5*c**2 + 0 + 2*c - b*c**5. Factor y(q).
-2*(q - 1)*(q + 1)**2/5
Let y = -13407/1550 - -270/31. Let h(v) be the second derivative of 0 + 8/15*v**3 - 4/5*v**2 - y*v**5 - 1/30*v**4 - 3*v. Suppose h(z) = 0. Calculate z.
-2, 2/3, 1
Suppose -3*t = -5*o + t + 37, o - t = 8. Suppose 93 - 18 = o*z. Determine y, given that 4*y**2 - 2*y**2 - z - y**4 + 14 = 0.
-1, 1
Let -w**2 + 178*w - 6 + 3*w**2 - 182*w = 0. Calculate w.
-1, 3
Let 0 - 16/7*l**2 - 24/7*l**3 - 4/7*l - 16/7*l**4 - 4/7*l**5 = 0. Calculate l.
-1, 0
Let r be 2/5 - -3*9/45. Solve -3/2*q**2 + r - 5/2*q = 0.
-2, 1/3
Let b = -7 - 14. Let r be (-1 - b/(-9)) + 4. Find d such that r*d + 0 + 2/3*d**2 = 0.
-1, 0
Suppose -38*r**2 - 24 - 41*r**2 - 18*r + 117*r**2 - 41*r**2 = 0. What is r?
-4, -2
Let y = 2377/5 - 475. Suppose 2/5*w - 2/5*w**4 + 6/5*w**2 - y*w**3 - 4/5 = 0. What is w?
-2, -1, 1
Let y(w) be the first derivative of -w**4/28 - 2*w**3/21 - w**2/14 + 4. Factor y(j).
-j*(j + 1)**2/7
Let k be (0 - (-7)/15) + 6/30. Find b such that 1/3*b**3 - k*b**2 + 0 + 1/3*b = 0.
0, 1
Let o be -5 + 3 + (-6)/(-6). Let c be 1 - o - (-49)/(-35). Factor 0*z + 3/5*z**3 + c*z**4 + 1/5*z**2 + 1/5*z**5 + 0.
z**2*(z + 1)**3/5
Let m(q) = 7*q**5 - 14*q**4 + 2*q**2 + q - 2. Let z(s) = 20*s**5 - 43*s**4 + s**3 + 5*s**2 + 3*s - 7. Let g(y) = -7*m(y) + 2*z(y). Factor g(o).
-o*(o - 1)**2*(3*o + 1)**2
Let f(w) be the second derivative of w**4/16 - w**3/2 - 40*w. Determine z, given that f(z) = 0.
0, 4
Factor -12/17*z - 10/17 - 2/17*z**2.
-2*(z + 1)*(z + 5)/17
Let s(m) be the first derivative of -5*m**6/6 + 10*m**5 - 85*m**4/2 + 260*m**3/3 - 185*m**2/2 + 50*m - 11. Determine k, given that s(k) = 0.
1, 2, 5
Let l(c) be the second derivative of c**7/336 - c**6/60 + 3*c**5/80 - c**4/24 + c**3/48 + 14*c. Solve l(z) = 0 for z.
0, 1
Let l = 5 - 1. Let s(x) be the third derivative of 0 - x**2 + 0*x + 1/15*x**3 + 0*x**l - 1/150*x**5. Determine a, given that s(a) = 0.
-1, 1
Let r(d) = -35*d**2 + 5*d + 5. Let x(h) = -1. Let s(k) = -r(k) - 5*x(k). Factor s(i).
5*i*(7*i - 1)
Let t(z) = z**2 - 5 - 3*z - 5 + 6*z + 2*z. Let x be t(-7). Determine w, given that -3/2*w - 1 + w**2 + 0*w**x - 1/2*w**5 + 2*w**3 = 0.
-1, 1, 2
Let k(a) = 21*a. Let r be k(2). Let x be 2/7 + 114/r. Factor 0 - 1/3*l**x + 0*l - 1/3*l**2.
-l**2*(l + 1)/3
Let o(m) = -m**5 - m**4 - m - 1. Let b(j) = 4*j**5 + 3*j**4 - j**3 + j**2 + 4*j + 3. Let w(y) = -6*b(y) - 21*o(y). What is k in w(k) = 0?
-1, 1
Let c be 6*(-3 - (-10)/3). Factor 6*h**4 - 4*h**3 + h**3 + 3*h**5 - 3*h**4 - 3*h**c.
3*h**2*(h - 1)*(h + 1)**2
Let c(z) be the third derivative of 0*z**4 + 0 + z**2 + 1/60*z**6 + 0*z**3 + 0*z - 2/105*z**7 + 0*z**5 + 1/168*z**8. Factor c(m).
2*m**3*(m - 1)**2
Let i(n) = 4*n. Suppose 0 = 3*f + 5*b - 1, -12 = -0*f - 5*f + 2*b. Let c(j) = -j**3 - 13*j. Let d(p) = f*c(p) + 7*i(p). Factor d(h).
-2*h*(h - 1)*(h + 1)
Factor -4/3 - 20/3*v - 32/3*v**2 - 16/3*v**3.
-4*(v + 1)*(2*v + 1)**2/3
Let i be 1/2*8/2. Suppose -5*u + 21 = i*o, -4*o + u = -4 - 5. Factor -b**o + 1 - 1 + 4*b - 2*b**3 - b**4.
-b*(b - 1)*(b + 2)**2
Let c = -47 - -50. Let r(o) be the third derivative of 1/60*o**5 + 0 + 0*o + 0*o**4 + o**2 - 1/120*o**6 + 0*o**c. Factor r(n).
-n**2*(n - 1)
Let i(u) = -15*u**2 + 3*u - 15. Let a(h) = -h**2 + h - 1. Let v(c) = 12*a(c) - i(c). Let q(s) = -6*s**2 - 17*s - 6. Let g(t) = -3*q(t) - 5*v(t). Factor g(x).
3*(x + 1)**2
Let h be (-8)/(-3)*5/20. Suppose -2*c - 3*k + 16 = 0, -2*c + k + 0*k = 0. Factor -4/3*u - 2/3*u**c - h.
-2*(u + 1)**2/3
Let q(y) be the second derivative of -y**4/6 - 4*y**3/3 - 4*y**2 + 22*y. Let q(p) = 0. Calculate p.
-2
Factor 6*u + 0*u - 2*u - 3*u + u**5 - 2*u**3.
u*(u - 1)**2*(u + 1)**2
Let t(q) be the first derivative of -q**5/240 - q**4/48 + 5*q**2 + 6. Let g(a) be the second derivative of t(a). Factor g(j).
-j*(j + 2)/4
Let k(v) = -2*v**3 + 12*v**2 + v - 6. Let f be k(6). Factor -8/3*c - 2*c**3 + f - 16/3*c**2.
-2*c*(c + 2)*(3*c + 2)/3
Suppose -2*j - j + 18 = 0. Solve -19 - i**2 + 18*i + j - 14 - 2*i**2 = 0 for i.
3
Let k(w) be the second derivative of 0 + 6*w**2 - 4*w + 81/10*w**6 - 22*w**3 + 157/4*w**4 - 297/10*w**5. Let k(n) = 0. What is n?
2/9, 1
Let m(g) be the first derivative of 4*g**5/15 - 4*g**4/3 - 44*g**3/9 - 4*g**2 + 2. What is f in m(f) = 0?
-1, 0, 6
Let u be (7 - 4 - 3)/2. Let u*v + 2/5*v**3 + 1/5*v**4 + 0*v**2 + 0 = 0. What is v?
-2, 0
Let d = 300/11 + -2656/99. Let x = d + 8/9. Determine a, given that 4/3 + x*a + 1/3*a**2 = 0.
-2
Let h(q) be the first derivative of q**6/600 - q**5/300 - q**4/120 + q**3/30 - 3*q**2 - 3. Let b(j) be the second derivative of h(j). Factor b(w).
(w - 1)**2*(w + 1)/5
Suppose 3*v + 15 + 12 = 3*y, 5*v = -25. Suppose 0 = -3*b - 0*b. Let -2*s**y + 0*s**4 + b*s**4 - s**5 - s**3 = 0. Calculate s.
-1, 0
Let u = -9 - -15. Factor 3*s**3 + 0*s**5 - 7*s**5 - 2*s**3 + u*s**5.
-s**3*(s - 1)*(s + 1)
Let y(j) be the second derivative of -j**5/75 - j**4/12 - 2*j**3/15 + 3*j**2/2 + 3*j. Let l(u) be the first derivative of y(u). Factor l(a).
-2*(a + 2)*(