2)
Let s(j) = 4*j - 3*j - 2*j - 4. Let m be s(-8). Find x, given that -m*x**3 - x**3 - 2*x**2 + 4*x + 3*x**3 = 0.
-2, 0, 1
What is q in -q + q - 60*q**2 - 979*q**3 + 984*q**3 = 0?
0, 12
Suppose 4*a - 381 + 93 = 0. Factor 150*p**5 - 32*p**4 - a*p**3 - 18*p**2 - 4*p**2 - 22*p**5 - 2*p + 0*p**3.
2*p*(p - 1)*(4*p + 1)**3
Suppose -6*h + 3 = -3*h. Suppose -5*g - 3*o + 22 = 0, 0 = -3*o + h + 11. Factor -3*z - 6 + 2 - z + z**2 - 2*z**g.
-(z + 2)**2
Let p(c) be the first derivative of -4*c**3/21 + 36*c/7 + 25. Determine y so that p(y) = 0.
-3, 3
Factor 0*a + 0 + 3/2*a**4 + 0*a**2 + 3/2*a**5 + 0*a**3.
3*a**4*(a + 1)/2
Suppose -6/19 + 0*v**3 + 2/19*v**4 - 16/19*v - 12/19*v**2 = 0. What is v?
-1, 3
Suppose 16*p**2 - 10*p**3 - 19*p**2 + 18*p**2 - 5*p**4 = 0. What is p?
-3, 0, 1
Let q(f) be the first derivative of -f**6/18 + f**5/5 - f**4/4 + f**3/9 - 13. Solve q(w) = 0 for w.
0, 1
Let u(w) be the third derivative of -4*w**5/15 - 3*w**4/2 - 4*w**3/3 + 7*w**2. Let u(z) = 0. What is z?
-2, -1/4
Let j = 9 - 4. Let k = j - 0. Suppose 2*r + 2*r + 0*r - k*r**2 + 3*r**2 - 2 = 0. Calculate r.
1
Let j(a) be the second derivative of 3*a**5/4 - 25*a**4/6 + 5*a**3/6 + 15*a**2 - 19*a. Solve j(p) = 0.
-2/3, 1, 3
Let h(k) = -k**2 + 3*k. Let o(w) = w**2 - 4*w. Let j(y) = 3*h(y) + 2*o(y). Suppose j(x) = 0. Calculate x.
0, 1
Let d(b) be the second derivative of -2*b**7/21 + 2*b**6/5 - 2*b**5/5 - 2*b**4/3 + 2*b**3 - 2*b**2 - 7*b. Let d(o) = 0. What is o?
-1, 1
Suppose 2*v + 11 = 3*h, 2*h + 9 = 5*v - 2. Let c be (11 - 1)/(-5 + h). Find z, given that -4*z**3 + 2*z**5 - 2*z**4 - 2*z**2 + 2*z**c + 4*z**2 = 0.
-1, 0, 1/2, 1
Let p(z) be the second derivative of -z**7/40 + z**6/4 - 9*z**5/10 + z**4 - 2*z**3/3 + 8*z. Let k(l) be the second derivative of p(l). Let k(h) = 0. What is h?
2/7, 2
Let -2/3*r**2 + 0 + 4/3*r = 0. Calculate r.
0, 2
Let u(i) be the first derivative of -i**4/8 - i**3/2 - 3*i**2/4 - i/2 + 9. Factor u(n).
-(n + 1)**3/2
Let a(g) be the third derivative of g**3 + 3*g**2 + 0*g - 3/10*g**5 + 1/8*g**4 + 0. Find f such that a(f) = 0.
-1/2, 2/3
Suppose 2*q + 2*q + 3 = 3*m, 4*q - 5*m = -13. What is a in -9*a**5 - 7*a**q - 3 - 8*a**4 + 3 + 25*a**5 - a**2 = 0?
-1/4, 0, 1
Let m(a) be the third derivative of 0 - 1/9*a**3 - 1/18*a**4 - 1/90*a**5 + 0*a - 2*a**2. Find n such that m(n) = 0.
-1
Let v = 27 - 19. Let o = 11 - v. What is r in -2/5 - 4/5*r**o + 2/5*r**4 + 0*r**2 + 4/5*r = 0?
-1, 1
Let r(c) be the third derivative of 0*c - 6*c**2 - 1/80*c**5 - 3/8*c**3 + 0 - 1/8*c**4. Factor r(l).
-3*(l + 1)*(l + 3)/4
Suppose -n**4 - 2*n**4 + 7*n**4 + 20*n**3 + 24*n**2 = 0. What is n?
-3, -2, 0
Let z(m) = -m**3 + 2*m**2 + 2*m - 2. Let j be z(2). Let i(s) be the first derivative of 4*s + s**j + 1 - 2/3*s**3. Solve i(h) = 0 for h.
-1, 2
Suppose -3*z - z = -5*z. Let l(p) be the third derivative of p**2 + z*p + 1/42*p**4 + 0*p**3 + 1/210*p**5 + 0. Suppose l(w) = 0. Calculate w.
-2, 0
Suppose -3 = 4*s + g - 4, 0 = -3*s - g. Let l(w) be the first derivative of -s - w**2 + 2/3*w**3 + 0*w. Factor l(h).
2*h*(h - 1)
Factor -1/4*k**2 - 1/2 - 3/4*k.
-(k + 1)*(k + 2)/4
Let m(z) be the third derivative of -2*z**2 - 1/72*z**6 - 8/315*z**7 + 0*z**4 + 0*z**3 - 1/112*z**8 + 1/90*z**5 + 0 + 0*z. Factor m(p).
-p**2*(p + 1)**2*(9*p - 2)/3
Let h(p) = -5*p**2 - 11*p + 7. Let l(i) = 3*i**2 + 6*i - 4. Let y(w) = w - 3. Let r be y(3). Suppose r*k + 7 = k. Let g(m) = k*l(m) + 4*h(m). Factor g(j).
j*(j - 2)
Factor -2*b**2 + 2*b**4 + 0 + b**3 + 1/2*b**5 - 3/2*b.
b*(b - 1)*(b + 1)**2*(b + 3)/2
Let f(l) be the second derivative of 1/105*l**6 + 0*l**2 + 0 - 7*l + 0*l**3 - 1/42*l**4 + 0*l**5. Solve f(a) = 0 for a.
-1, 0, 1
Let x(q) = q**2 + 5*q - 1. Let z be x(-6). Factor -12*l**z + 2*l**2 - 2*l**2 + 3*l**2 - 18*l**3 + 27*l**4.
-3*l**2*(l - 1)**2*(4*l - 1)
Suppose 2*p = 4 + 16. Let j = p + -7. Find q, given that 8*q**3 - 12*q + 4*q**2 + 5*q**2 - 12 + j*q**4 + 4*q**3 = 0.
-2, -1, 1
Suppose q = 5*z + 5, 0 = 3*z - 4 + 7. Let d(l) be the first derivative of -2/5*l**5 + 0*l**2 - 2/3*l**3 + l**4 + 2 + q*l. Factor d(n).
-2*n**2*(n - 1)**2
Determine t so that -28*t**2 - 6 - 7*t + 28*t + 13*t = 0.
3/14, 1
Let j(z) be the first derivative of -5*z**4/3 - 88*z**3/9 - 56*z**2/3 - 32*z/3 - 3. Let j(v) = 0. Calculate v.
-2, -2/5
Solve 3/4*r**2 - 3/2 - 3/4*r = 0 for r.
-1, 2
Let u be 5/4*16/40. Let l be (2/(8/(-3)))/(-3). Factor 1/4*m + u*m**2 + l*m**3 + 0.
m*(m + 1)**2/4
Suppose -9*w + 14 = -4. Let -4/7*c**3 + 18/7*c**w - 16/7*c**4 - 2/7 + 4/7*c = 0. What is c?
-1, -1/2, 1/4, 1
Factor -1/2*k + 1/4*k**4 - 1/4*k**2 + 1/2*k**3 + 0.
k*(k - 1)*(k + 1)*(k + 2)/4
Suppose 5*o**3 - 41*o**2 + 41*o**2 - 5*o = 0. Calculate o.
-1, 0, 1
Let y be (2 - -4) + 0 + 2. Determine g so that y*g - 3*g - 3*g**2 - 6 + 3*g + g = 0.
1, 2
Suppose -2*f = -2*i + 5 + 1, 2*i - 2 = 4*f. Let z(n) be the first derivative of -1 + 0*n - 1/3*n**3 + 1/2*n**f. Factor z(b).
-b*(b - 1)
Suppose -j = -2*j - 3*k + 2, -6 = -3*j + 2*k. Suppose 0 = -j*i + 6*i + 4*y, -3*i + 14 = -4*y. Suppose -10/7*a + 8/7*a**i - 2/7*a**3 + 4/7 = 0. What is a?
1, 2
Let o(w) be the first derivative of 1 + 1/2*w**4 + 2/3*w**3 + 0*w**2 + 0*w. Let o(s) = 0. What is s?
-1, 0
Let i(u) be the first derivative of 2*u**5/35 - u**4/14 - 4*u**3/7 + 3. Factor i(q).
2*q**2*(q - 3)*(q + 2)/7
Suppose 2*c + 5*m - 29 = 0, -3*m = -3*c - c + 45. Suppose 0 = 4*i - i - c. Factor -5*y**2 + 16*y**3 - 13*y**4 + 3*y**2 - 4*y + 3*y**i.
-2*y*(y - 1)**2*(5*y + 2)
Let z(n) be the second derivative of -1/4*n**4 - 3*n**2 + 5*n + 0 + 3/2*n**3. Solve z(c) = 0 for c.
1, 2
Let v = 2/167 - 1370/2839. Let g = 90/119 + v. Factor 2/7*z**3 - 2/7*z**2 + g*z**4 + 0 - 2/7*z**5 + 0*z.
-2*z**2*(z - 1)**2*(z + 1)/7
Let l(p) = 0 + 1 - p**4 - 22*p**5 + 21*p**5. Let y(m) = 24*m**5 + 36*m**4 + 24*m**3 + 16*m**2 + 4*m - 20. Let d(u) = -20*l(u) - y(u). Solve d(n) = 0.
-1, 0
Factor 8/7 + 8/7*o + 2/7*o**2.
2*(o + 2)**2/7
Let g(x) be the second derivative of x**6/150 + 3*x**5/100 + x**4/20 + x**3/30 + 4*x. Find f, given that g(f) = 0.
-1, 0
Let p be ((-2)/(-5))/(36/135). Let k be 2/(-4)*(2 - 3). Suppose k*d - 1 + p*d**2 = 0. Calculate d.
-1, 2/3
Let s(w) = -w**3 - 3*w**2 + 52*w - 18. Let x be s(-9). Factor x*h**2 - h**3 + 1/3*h**4 + 0 + 4/3*h.
h*(h - 2)**2*(h + 1)/3
Let n(q) be the second derivative of -q**5/40 - q**4/2 - 4*q**3 - 16*q**2 + 7*q. Factor n(y).
-(y + 4)**3/2
Let q(x) = x**2 + 6*x - 5. Let m(j) = 3*j**2 + 21*j - 18. Let z(f) = 5*m(f) - 18*q(f). Solve z(p) = 0.
-1, 0
Let r be 2 + -5 - (3 - 10). Suppose 3*f + 2 = r*f. Find z, given that 3*z**2 - z**2 - 2*z**3 - 4*z**f = 0.
-1, 0
Let y(c) = -2*c**2 + 2. Let k be y(1). Let h(n) be the third derivative of n**2 + 0*n + 0 - 1/70*n**7 + k*n**3 - 1/40*n**6 + 1/10*n**5 + 0*n**4. Factor h(j).
-3*j**2*(j - 1)*(j + 2)
Let w(o) be the second derivative of 0*o**2 + 0 + o - 1/6*o**4 + 1/10*o**5 + 0*o**3. Factor w(c).
2*c**2*(c - 1)
Suppose 2*t - 5*l = -l + 28, l = -4. Factor -3*m - 3*m**2 + 1 + t*m**2 - m.
(m - 1)*(3*m - 1)
Let 9 - 196*i + 190*i + 4*i**2 - 6*i**2 - i**2 = 0. Calculate i.
-3, 1
Let m(w) be the third derivative of w**6/200 - w**5/25 - w**4/40 + 2*w**3/5 - 15*w**2. Factor m(b).
3*(b - 4)*(b - 1)*(b + 1)/5
Let z be (4/3)/(4/(-12)). Let b = -2 - z. Factor -b + 3*m + 2 - 5*m - m**2.
-m*(m + 2)
Find s, given that -s**5 + s**3 + 2*s**4 + s**5 + s**5 = 0.
-1, 0
Let a(z) be the third derivative of 1/75*z**5 + 1/300*z**6 + 0*z**3 + 0*z + 0 + 0*z**4 - 5*z**2. Factor a(l).
2*l**2*(l + 2)/5
Let u(s) = -5*s**2 - 7*s. Let g(p) = 25*p**2 + 36*p. Let b(z) = -2*g(z) - 11*u(z). Factor b(l).
5*l*(l + 1)
Find w such that 10*w**3 + 0*w**2 + 14*w**3 - 5*w**2 - 4*w - w**2 - 14*w**4 = 0.
-2/7, 0, 1
Let j(l) be the third derivative of l**8/1344 + l**7/840 - l**6/240 - l**5/120 + l**4/96 + l**3/24 - 17*l**2. Solve j(z) = 0.
-1, 1
Let u = -86059 + 3012483/35. Let r = u + -78/7. Suppose 2/5*c**2 + r - 6/5*c = 0. Calculate c.
1, 2
Factor -11 + 5*k - k**2 - 17*k - 2*k**2 + 2.
-3*(k + 1)*(k + 3)
Let y be ((36/8)/(-3))/((-2)/4). Let r = 0 + 0. Factor r*f**2 + 6/7*f + 4/7 - 2/7*f**y.
-2*(f - 2)*(f + 1)**2/7
Let s = -1605 + 481501/300. Let u(d) be the third derivative of -1/15*d**3 + 0*d - s*d**6 + d**2 + 0 + 1/150*d**5 + 1/60*d**4. Factor u(i).
-2*(i - 1)**2*(i + 1)/5
Let w(n) be the second derivative of n**5/15 - 4*