 2. Let b be -8*q + (-8)/(-4). Let z(v) = -7*v**2 + 9*v - 2. Let h(y) = b*s(y) + 11*z(y). Factor h(n).
(n - 2)*(n - 1)
Let b(q) be the second derivative of -2*q**7/21 + 2*q**6/15 + 2*q**5/5 - 16*q. Factor b(o).
-4*o**3*(o - 2)*(o + 1)
Suppose 2*t = -0*t. Let r(s) be the first derivative of -1/2*s**2 + 0*s + t*s**4 + 1 + 1/6*s**6 - 2/5*s**5 + 2/3*s**3. Let r(o) = 0. What is o?
-1, 0, 1
Let k(f) be the first derivative of 1/12*f**3 - 1/8*f**4 + 1/20*f**5 + 0*f + 2 + 0*f**2. Suppose k(b) = 0. What is b?
0, 1
Let w = -62 + 163/3. Let d = w + 8. Factor -2/3*z + 1/3*z**3 + d*z**2 + 0.
z*(z - 1)*(z + 2)/3
Let g = 51 + -35. Suppose -g = -h - 3*h. Suppose -4*t**2 + 3*t**h + 0*t + 8*t - 10*t + 1 + 2*t**3 = 0. What is t?
-1, 1/3, 1
Suppose -c = -104 + 102. Factor 0*d**3 + 1/4*d**4 + 0*d - 1/4*d**c + 0.
d**2*(d - 1)*(d + 1)/4
Let o be (1 - -3)*(-3 - (-51)/16). Find c, given that 0*c + 0 + 3/4*c**3 - 3/4*c**5 + o*c**2 - 3/4*c**4 = 0.
-1, 0, 1
Let u(g) be the second derivative of g**7/147 - g**5/70 - 5*g. Factor u(w).
2*w**3*(w - 1)*(w + 1)/7
Factor -4/7*u**5 + 12/7*u**4 + 0*u**2 + 0 - 8/7*u**3 + 0*u.
-4*u**3*(u - 2)*(u - 1)/7
Suppose 0 = -8*f - 139 + 163. Determine l so that 8/11*l**4 - 10/11*l - 2/11*l**f + 4/11 - 24/11*l**2 = 0.
-1, 1/4, 2
Let a(b) be the second derivative of 1/3*b**3 + 0 - 1/2*b**2 + 4*b - 1/12*b**4. Factor a(d).
-(d - 1)**2
Factor -8/3 + 2*q**2 - 5/3*q**3 + 1/3*q**4 + 4/3*q.
(q - 2)**3*(q + 1)/3
Suppose 0*n + 2/7*n**4 + 2/7*n**5 + 0 - 2/7*n**2 - 2/7*n**3 = 0. Calculate n.
-1, 0, 1
Let t = 48 - 48. Let h = -2 - -2. Find q, given that h*q**2 + 0*q + 2/3*q**4 + t + 0*q**3 = 0.
0
Let h be (7 - 4 - 3)/(-2). Let m(v) be the second derivative of h - 1/15*v**6 + 1/2*v**4 + 0*v**2 - v + 2/3*v**3 + 0*v**5. Factor m(o).
-2*o*(o - 2)*(o + 1)**2
Let k(d) be the first derivative of 2*d**6/9 - d**4 + 8*d**3/9 - 5. Suppose k(h) = 0. Calculate h.
-2, 0, 1
Suppose 2*r = 7*r - 15. Factor -6*h**4 + 3*h**4 + 4*h**4 + 4*h**r + h**4.
2*h**3*(h + 2)
Let s(o) be the third derivative of o**2 + 0 + 1/60*o**5 + 0*o - 1/9*o**3 - 1/360*o**6 - 1/630*o**7 + 1/72*o**4. Factor s(j).
-(j - 1)**2*(j + 1)*(j + 2)/3
Factor 0 - 3/2*w**2 + 9/2*w.
-3*w*(w - 3)/2
Let t be 12/5 + (-2)/5. Let b be 2 + (-2 + 4 - t). Let -6*z**3 + 0*z - 3*z + z - 8*z**b = 0. What is z?
-1, -1/3, 0
Let w = -1 + 13. Suppose 0 = v + 4*s + 14, 5*s = 2*s - w. Factor -j**4 + 1 - v*j + 2*j**3 + 0*j**3 + 0*j.
-(j - 1)**3*(j + 1)
Suppose 36 = 2*p + p. Let b = p - 10. Find d such that 0*d**b + 1/3*d - 1/3*d**3 + 0 = 0.
-1, 0, 1
Let d(h) = -h**3 - h**2 + h. Let m = -12 + 33. Let u(q) = 13*q - 5*q + 13*q**3 - 8*q**2 - m*q**3 + 2*q**4. Let p(o) = 6*d(o) - u(o). Solve p(c) = 0 for c.
-1, 0, 1
Let n be (-2)/9 + (-64)/(-72). Let b(u) be the first derivative of -1 + 2/3*u**2 + 2/9*u**3 + n*u. Factor b(w).
2*(w + 1)**2/3
Let c(n) be the second derivative of 7*n**4/4 - 2*n**3 - 8*n + 3. Factor c(g).
3*g*(7*g - 4)
Let l(i) = -7*i**4 - 9*i**3 + 6*i**2 + 3*i - 13. Let z(d) = 3*d**4 + 4*d**3 - 3*d**2 - 2*d + 6. Let a(r) = -2*l(r) - 5*z(r). Factor a(k).
-(k - 1)**2*(k + 2)**2
Let y(z) = -3*z**5 + 2*z**4 + 2*z**3 - 4*z**2 - z. Let p(a) = -a**5 + a**3 - a**2 - a. Let s(w) = -2*p(w) + y(w). Factor s(u).
-u*(u - 1)**3*(u + 1)
Let -2/3*p**2 + 0 - 2/3*p**3 + 4/3*p = 0. What is p?
-2, 0, 1
Let q be (-459)/(-18)*(-2)/(-3). Suppose 4*x - 12 = 0, 0 = 4*a + 4*x - x - q. Solve 2/5*z - 8/5*z**a + 0 = 0 for z.
0, 1/4
Let h(z) = -9*z**3 - 54*z**2 - 479*z - 1451. Let i(g) = -4*g**3 - 27*g**2 - 240*g - 726. Let q(a) = -6*h(a) + 14*i(a). Factor q(m).
-2*(m + 9)**3
Let s be (-6)/15 - (-16)/(-10). Let j(b) = -b**2 - 2*b. Let l be j(s). Factor 1/2*q**2 + l + 1/2*q**3 + 0*q.
q**2*(q + 1)/2
Let b = 64/31 + -7864/3689. Let v = b + 6/17. Solve 0*w + 0*w**2 + 0 - v*w**4 - 2/7*w**3 = 0 for w.
-1, 0
Let w = 251/435 + 2/87. Factor -6/5*l**3 - 9/5*l**2 + 12/5*l + w*l**4 + 12/5.
3*(l - 2)**2*(l + 1)**2/5
Suppose 0 = 4*x + 3*s - 20, -6 = -x - s - 0. Suppose v = 3*g + 3 - 4, 0 = g - 5*v + 23. Factor 0*n - 2*n**x + n**3 - g*n + 0*n**2 + 3*n.
n*(n - 1)**2
Let 48*o - 3/2*o**2 - 384 = 0. What is o?
16
Let w(z) be the second derivative of -z**6/300 + z**5/75 - z**4/60 + z**2 - 2*z. Let a(g) be the first derivative of w(g). Let a(n) = 0. What is n?
0, 1
Let q(f) be the first derivative of 3*f**5/5 - 3*f**4/4 - f**3 + 3*f**2/2 + 4. Factor q(u).
3*u*(u - 1)**2*(u + 1)
Let x(f) be the first derivative of -9*f**4 - 28*f**3 - 32*f**2 - 16*f - 8. Factor x(n).
-4*(n + 1)*(3*n + 2)**2
Suppose 10 = 3*b - 8. Let a(m) be the third derivative of 0 - 1/20*m**5 - 1/630*m**7 - 2*m**2 + 0*m + 7/72*m**4 - 1/9*m**3 + 1/72*m**b. Factor a(i).
-(i - 2)*(i - 1)**3/3
Let t be -1*-1*3*1. Solve -2*r + r + 0*r**3 + r**t = 0 for r.
-1, 0, 1
Suppose b = -2*k + 3, 3*k - 4 = -3*b + 2*k. Let t be (-88)/(-10) + (-2)/b. Find c, given that 8*c**2 + 8/5*c + t*c**3 + 8/5*c**4 + 0 = 0.
-2, -1/4, 0
Suppose -3*s - 2*j + 9 = j, 3*j = 5*s - 23. Suppose -14 + 14 - s*z**2 - 4*z = 0. Calculate z.
-1, 0
Suppose 0*n + 44 = 4*n. Let z(w) = -3*w**2 + 4*w - 3. Let d(x) = 15*x**2 - 19*x + 15. Let k(p) = n*z(p) + 2*d(p). Factor k(l).
-3*(l - 1)**2
Let n(x) be the first derivative of -x**4/60 - 2*x**3/15 - 2*x**2/5 + x - 3. Let b(a) be the first derivative of n(a). Factor b(h).
-(h + 2)**2/5
Let s be 4/5*15/6. Suppose -2*l - 4 = 0, 7*w - 5*l = 2*w + 20. Factor b**w + 8*b + 0*b**s - b**4 + b**3 - 9*b.
-b*(b - 1)**2*(b + 1)
Let l(h) be the first derivative of -2/15*h**5 - 1 + 1/6*h**4 + 0*h + 0*h**3 + 0*h**2. Factor l(v).
-2*v**3*(v - 1)/3
Let z = -328 + 1961/6. Let m = 3/2 + z. Factor -m*h**2 + 0 + 0*h.
-h**2/3
Suppose 0*z = -z. Suppose 4*a - l + z*l - 1 = 0, -l - 1 = 3*a. Factor a*w**2 + 2/5*w + 0 - 2/5*w**3.
-2*w*(w - 1)*(w + 1)/5
Suppose 16/5*u**3 - 54/5 - 81/5*u - 18/5*u**2 + 1/5*u**5 + 8/5*u**4 = 0. What is u?
-3, -1, 2
Let k be (2/(-4))/((-17)/34). Let i(d) be the first derivative of -2*d**2 + 0*d**3 - 2/5*d**5 + d**4 - k + 2*d. Factor i(c).
-2*(c - 1)**3*(c + 1)
Let n(w) be the second derivative of 0*w**2 - 1/70*w**5 - 1/21*w**4 + 0 - 1/21*w**3 - 5*w. Factor n(z).
-2*z*(z + 1)**2/7
Let y(x) be the first derivative of -x**6/480 + x**5/80 - x**4/32 + x**3/24 - x**2/2 + 2. Let s(p) be the second derivative of y(p). Factor s(i).
-(i - 1)**3/4
Let -48/13*s - 32/13 - 18/13*s**2 - 2/13*s**3 = 0. Calculate s.
-4, -1
Suppose -5*u + 19 = -4*s, -3*s = 5*u - 0*s - 12. Find d such that -4/9 + 2/3*d - 2/3*d**u + 4/9*d**2 = 0.
-1, 2/3, 1
Let l(a) be the second derivative of 7*a**4/4 - a**3 - 12*a. Suppose l(k) = 0. What is k?
0, 2/7
Let c(w) be the second derivative of -3*w**5/20 - 4*w**4 - 77*w**3/2 - 147*w**2 - 8*w - 2. Determine h so that c(h) = 0.
-7, -2
Let -4 - 56/3*a + 16/3*a**4 - 76/3*a**2 - 16/3*a**3 = 0. What is a?
-1, -1/2, 3
Let u(m) be the second derivative of -m**7/840 - m**6/60 - m**5/10 - m**4/3 - 4*m. Let c(q) be the third derivative of u(q). Find x such that c(x) = 0.
-2
Let b(a) = 5*a**3 + 2*a**2 + a - 4. Let f(t) = -t**3 - t**2 + 1. Let o(h) = b(h) + 4*f(h). Factor o(m).
m*(m - 1)**2
Suppose -4 = 4*o + 4*p, 0*p = 2*o + 3*p + 1. Let s(z) = -z**3 + 7*z**2 + 8*z. Let u(k) = -k**2 - k. Let m(j) = o*s(j) - 18*u(j). Find y such that m(y) = 0.
-1, 0
Let d(b) be the second derivative of b**4/96 + 5*b**3/24 + 25*b**2/16 + 4*b. What is i in d(i) = 0?
-5
Let o be 6/5*(-60)/18. Let k be (1 + -1)*2/o. Factor 0*g**4 + 0*g**2 - 1/2*g**5 + 1/2*g**3 + k*g + 0.
-g**3*(g - 1)*(g + 1)/2
Suppose -2*w = -13 - 5. Let f be 1/(-3 - 30/(-9)). Suppose t**5 - t**4 - w*t**f + 9*t**3 = 0. What is t?
0, 1
Suppose j - 30 = -5*l, -3*l - 5*j + 2*j + 18 = 0. Let c = l + -4. Factor -d**3 + d - d**4 + d**c - 8 + 8.
-d*(d - 1)*(d + 1)**2
Suppose 80 = 6*y - 2*y. Determine q so that 2*q**2 + 4*q**2 - 8*q**4 - 4*q**5 + 2*q**2 - 16*q**5 + y*q**3 = 0.
-1, -2/5, 0, 1
Let k(c) be the first derivative of -3*c**4/4 + 3*c**3 + 6*c**2 + 37. Factor k(w).
-3*w*(w - 4)*(w + 1)
Let m be 4 + 21/(-9)*3. Let g be ((-6)/81)/(m/9). Factor 0*s - g*s**2 + 0.
-2*s**2/9
Let y = 6 + -3. Let w**4 + 2*w**3 - w**2 - 4*w**3 + w**y + w = 0. What is w?
-1, 0, 1
Let z(g) be the third derivative of 0*g**4 - 2*g**2 + 0*g**3 + 0 + 0*g + 1/20*g**5 + 1/70*g**7 - 1/20*g**6. Solve z(j) = 0.
0, 1
Let p(h) be the first derivative of -h**4/7 - 4*h**3/21 + 2*h**2/7 + 4*h/7 