et x = -4 + 7. Let w = 159 + -156. Suppose 9*y**w + 5*y**3 + y**2 - 13*y**x = 0. What is y?
-1, 0
What is v in -68*v**2 - 74 - 67*v + 71*v**2 + 398 - 5*v = 0?
6, 18
Let f(g) be the second derivative of -1/16*g**3 + 0*g**6 - 1/336*g**7 + 0 + 18*g + 1/48*g**4 + 1/40*g**5 - 1/8*g**2. Factor f(d).
-(d - 2)*(d - 1)*(d + 1)**3/8
Let h(w) = -2*w**2 + 3. Let d be h(2). Let s(b) = -b**3 + b**2 - 1. Let a(v) = -10*v**3 - 5. Let x(m) = d*s(m) + a(m). Factor x(j).
-5*j**2*(j + 1)
Factor -42/19*b**2 + 270/19*b + 2/19*b**3 - 486/19.
2*(b - 9)**2*(b - 3)/19
Suppose 8/7*a - 2/7*a**2 - 8/7 = 0. What is a?
2
Let o = -830 - -834. Find h, given that 0 + 1/4*h**o + 0*h**2 + 0*h + 1/4*h**3 = 0.
-1, 0
Let d be ((-195)/270 + 4/18)*-6. Let b(c) be the second derivative of 1/4*c**4 + c**d + 0 - 12*c + 3/2*c**2. Let b(z) = 0. Calculate z.
-1
Let s(u) be the second derivative of 0 - u + 5/8*u**3 - 3/2*u**2 - 1/16*u**4. Factor s(z).
-3*(z - 4)*(z - 1)/4
Let s(p) = -7*p - 67. Let a be s(-10). Let j(h) be the second derivative of 1/3*h**3 + 0 - 1/12*h**4 + 0*h**2 + a*h. Factor j(k).
-k*(k - 2)
Suppose -8*b = -11*b + 6. Factor -2*s**4 - b*s**2 + 25*s - s**4 + 11*s**3 + 8 - 4*s**2 - 37*s.
-(s - 2)**2*(s + 1)*(3*s - 2)
Solve -m**4 + 4*m**4 + 28*m**3 + m**4 = 0 for m.
-7, 0
Let h = 25817 - 77429/3. Suppose 4/3*i + h*i**3 - 26/3*i**2 + 0 = 0. Calculate i.
0, 2/11, 1
Let k(l) be the third derivative of -5*l**5/12 + 20*l**4/3 - 10*l**3 - 131*l**2. Factor k(g).
-5*(g - 6)*(5*g - 2)
Let v(x) be the third derivative of -2*x**7/105 + x**6/15 + 4*x**5/5 - 3*x**4 - 18*x**3 - 2*x**2 - 15. Suppose v(k) = 0. Calculate k.
-3, -1, 3
Let t = -76 - -183. Factor 0*y**3 + t*y**5 - 3*y**3 + y**2 - 108*y**5 + 3*y**4.
-y**2*(y - 1)**3
Solve 2*p**3 + 72213*p**4 - 10*p**3 - 72211*p**4 + 5*p**2 + 3*p**2 = 0 for p.
0, 2
Let t(h) be the second derivative of 3/4*h**4 - 6*h**2 + 0*h**3 + 3/20*h**5 - 2*h + 0. Find b such that t(b) = 0.
-2, 1
Let y(m) = 14*m**2 - 33*m + 58. Let t(s) = 8*s**2 - 17*s + 30. Let w(f) = -5*t(f) + 3*y(f). Suppose w(g) = 0. What is g?
3, 4
Let y(d) be the second derivative of -d**4/12 - 19*d**3/3 - 361*d**2/2 + 173*d. Factor y(f).
-(f + 19)**2
Let v be -7 - (-4072)/560 - 1/5. Let x(d) be the first derivative of 0*d**2 + 0*d + v*d**4 - 2/21*d**3 - 1. Factor x(a).
2*a**2*(a - 1)/7
Let u(t) = 51*t**2 - 8*t - 10. Let w(k) = -41*k**2 + 7*k + 10. Let n(b) = -4*u(b) - 5*w(b). Factor n(f).
(f - 5)*(f + 2)
Factor -4*b**5 - 39*b - 6*b**4 + 18*b**3 + 12*b**2 + b**5 - 23 + 41.
-3*(b - 1)**3*(b + 2)*(b + 3)
Let w be (116/87)/((4/21)/(-2)). Let s = w - -16. Determine j so that 2/5*j**s - 2/5*j**4 - 2/5*j + 0 + 2/5*j**3 = 0.
-1, 0, 1
Let o(v) be the first derivative of v**7/14 - 2*v**6/9 + 13*v**5/60 - v**4/18 + 3*v - 11. Let y(b) be the first derivative of o(b). Factor y(l).
l**2*(l - 1)**2*(9*l - 2)/3
Suppose -5*t + 12 = 47. Let o = 10 + t. Factor -2*w**3 - w**2 - 4*w**3 + 7*w**o.
w**2*(w - 1)
Suppose -267*n + 318*n - 432*n - 654*n = 0. Factor -5/2*k**2 + n + 35/2*k.
-5*k*(k - 7)/2
Suppose 4 = -5*s - 4*j - 0, -3*j = 2*s - 4. Let g be 4*(-1)/8*s/9. Factor -g*c**3 + 2/9*c**2 + 0 - 2/9*c**4 + 2/9*c.
-2*c*(c - 1)*(c + 1)**2/9
Let i(c) = -c + 12. Let m be i(-12). Let k be (-1)/(15/m*(-10)/25). Factor 2*p**5 + 0*p**2 + 0 - 4/3*p**k + 0*p + 0*p**3.
2*p**4*(3*p - 2)/3
Suppose -11 + 1 = -5*q. Factor 5*b**2 - 7*b**2 - 4*b**2 + b**q.
-5*b**2
Let 2*v**2 - 6*v - 12*v - 47 + 75 = 0. What is v?
2, 7
Let h(g) = 349*g**2 - 41*g + 1. Let x(y) = -694*y**2 + 83*y - 2. Let s(m) = 7*h(m) + 3*x(m). Suppose s(d) = 0. What is d?
1/19
Let m(x) = -5*x**3 - 25*x**2 + 311*x - 851. Let z(r) = -r**3 + r**2 + 2*r - 1. Let i(l) = -5*m(l) + 30*z(l). Find f, given that i(f) = 0.
5, 13
Let z(g) be the first derivative of 5*g**3/9 + 35*g**2/3 + 245*g/3 - 132. Factor z(m).
5*(m + 7)**2/3
Let i(m) be the first derivative of 2*m**5/25 - 3*m**4/10 - 8*m**3/5 + 4*m**2 + 96*m/5 - 79. Find b, given that i(b) = 0.
-2, 3, 4
Let g be (2 + -1)/((-218)/(-872)). Determine b, given that 7/6*b**5 - 4*b**2 + 43/6*b**3 + 2/3*b - 5*b**g + 0 = 0.
0, 2/7, 1, 2
Let h = -767 - -770. Let y(v) be the second derivative of -v + 2*v**2 + 1/12*v**4 + 0 - 2/3*v**h. Find z such that y(z) = 0.
2
Let y(s) = s**2 + 7*s + 1. Let d be y(-4). Let g = d + 15. Factor -12*z**2 + z**5 + 5*z**5 + 9 + 4*z + 8*z - 18*z**3 + 3*z**g.
3*(z - 1)*(z + 1)**3*(2*z - 3)
Suppose 10*q = 82 - 32. What is g in 2*g**2 + 0*g**2 - 191*g + 35*g**3 + 20 - 25*g**4 + 5*g**q + 3*g**2 + 151*g = 0?
-1, 1, 2
Let h be (-8)/12*3/2. Let m(y) = y**2 - y. Let p(i) = -i**2 - 3*i + 4. Let q(n) = h*p(n) + m(n). Factor q(o).
2*(o - 1)*(o + 2)
Suppose 25 - 27 = -2*b - s, 4*b - 2*s - 28 = 0. Factor b*y**3 + 5/3*y**5 + 0*y - 6*y**4 + 8/3*y**2 + 0.
y**2*(y - 2)**2*(5*y + 2)/3
Suppose 0 = t + 5*f - 16, 2*t - 3*f = -13 - 7. Let q be t/10*(-3 - 2). Determine k so that -k**3 - 3*k**2 + 2 + 3*k**3 + k**q - 2*k + 0*k = 0.
-1, 1
Find f such that -4*f**2 - 21*f - 11 + 11 - 50*f - 25*f = 0.
-24, 0
Let s(p) be the first derivative of p**7/14 - 23*p**6/40 + 3*p**5/2 - p**4/2 - 4*p**3 + 7*p**2/2 - 39. Let b(l) be the second derivative of s(l). Factor b(r).
3*(r - 2)**2*(r - 1)*(5*r + 2)
Let m(l) be the first derivative of 0*l + 3/13*l**4 - 13 + 1/39*l**6 + 1/13*l**2 + 8/65*l**5 + 8/39*l**3. Factor m(s).
2*s*(s + 1)**4/13
Let b(i) = i**2 + 27*i - 23. Let g be b(-28). Let c(u) be the third derivative of -u**4 + 3*u**3 + 0*u + 0 + 2/15*u**5 + g*u**2. Find l such that c(l) = 0.
3/2
Let g(j) = 3*j**2 + 11*j + 4. Let b(o) = 3*o**2 + 12*o + 3. Let y(h) = 2*h - 27. Let p be y(12). Let k(m) = p*g(m) + 2*b(m). Determine l so that k(l) = 0.
-2, -1
Factor 8 - 4*l**3 - 56/3*l**2 - 52/3*l.
-4*(l + 2)*(l + 3)*(3*l - 1)/3
Let a(q) be the third derivative of q**6/120 - q**3/6 - 9*q**2. Let h(o) = o**3 - 8*o + 1. Let v(u) = -a(u) - h(u). Let v(s) = 0. What is s?
-2, 0, 2
Let i = -49 - -50. Let f be i/3*12/20. What is j in 2/5*j + f*j**4 - 2/5*j**3 - 1/5 + 0*j**2 = 0?
-1, 1
Let o = 1751 + -404477/231. Let f(x) be the second derivative of 0*x**3 + 0*x**2 + 0*x**5 + 1/165*x**6 + 0 + 0*x**4 + o*x**7 + x. Factor f(b).
2*b**4*(4*b + 1)/11
Let a be (-590)/300 - 4/(-1 - 1). Let o(t) be the second derivative of 0*t**2 + 0 + 2/15*t**3 - 2*t - 1/50*t**5 + a*t**4. Factor o(g).
-2*g*(g - 2)*(g + 1)/5
Let m(u) be the second derivative of 6/5*u**5 - 2/21*u**7 + 0 + 8/3*u**4 + 0*u**6 + 2*u**3 - 5*u + 0*u**2. Factor m(r).
-4*r*(r - 3)*(r + 1)**3
Let l(x) be the third derivative of -x**7/840 + x**6/120 + 11*x**4/24 + 14*x**2. Let d(h) be the second derivative of l(h). Determine u so that d(u) = 0.
0, 2
Let z be ((-1782)/(-180))/33 + (-9)/5 + 2. Factor 0 + z*b + 1/6*b**3 + 2/3*b**2.
b*(b + 1)*(b + 3)/6
Let o(c) = -6*c - 124*c**2 + 3 - 2*c + 125*c**2. Let p be o(8). Solve 11*h**2 - 11*h**2 - 2*h + 2*h**p = 0.
-1, 0, 1
Let i(s) = s + 9. Let z be i(-5). Let g be z - 5 - (0 + -4). Solve -2*a**3 - 4*a**2 + g*a**3 - 8*a + 0*a**3 + 16 + a**3 = 0.
-2, 2
Let y be 16 - 0/(0 + 2). Suppose 2*o + 2*o = y. Factor -1/2 - 1/4*d**3 + 1/4*d - 1/4*d**o + 3/4*d**2.
-(d - 1)**2*(d + 1)*(d + 2)/4
Let f(m) = 3*m**3 - m**2 + m - 5. Let t(c) = c**3 - c**2 - 1. Let l(v) = f(v) - 4*t(v). Let x be l(3). Factor 9 + 3*g + 2*g**2 + 3*g - 3*g**2 + x*g**2.
(g + 3)**2
Let p(o) be the second derivative of -3*o**6/35 + 2*o**5/7 - 13*o**4/42 + 2*o**3/21 - 5*o - 4. Determine w, given that p(w) = 0.
0, 2/9, 1
Let q(y) be the second derivative of 9*y**5/140 - 11*y**4/14 + 10*y**3/7 + 36*y**2/7 - 804*y. Factor q(j).
3*(j - 6)*(j - 2)*(3*j + 2)/7
Find k, given that -2/17*k**2 + 2/17*k + 0 = 0.
0, 1
Let c(a) = -a - 5. Let y be c(-2). Let j be y/2*(-16)/60. Let -2/5*i**2 - 4/5*i - j = 0. Calculate i.
-1
Suppose -6*m + m - 5*i = -425, 247 = 3*m + i. Factor -32*z**5 - 30*z**2 - m*z**3 - 69*z**4 - 6*z - 9*z**2 + 11*z**5.
-3*z*(z + 1)**3*(7*z + 2)
Let u = -7771281/935 + 41563/5. Let c = u + 4/187. Let 2*o**3 - 18/11*o**5 - 8/11*o**2 + c*o**4 - 8/11*o + 0 = 0. What is o?
-2/3, 0, 1
Let f(p) be the third derivative of p**6/40 + p**5/4 - 11*p**4/4 + 8*p**3 - 269*p**2. Factor f(x).
3*(x - 2)*(x - 1)*(x + 8)
Let h = 54 + -48. Let j(i) = i**3 + 2*i**2 + 3*i - 2. Let x(w) = 9*w**3 + 16*w**2 + 26*w - 17. Let r(z) = h*x(z) - 51*j(z). Let r(u) = 0. Calculate u.
0, 1
Let d be (2/3)/(8 + (-230)/30). Find g su