nd d, given that v(d) = 0.
-10, 7
Suppose 3*i - 36 = -12. Let h be ((-90)/8)/(6/i - 1). Factor -5 + 35*q - h*q - q**2 - 4*q**2.
-5*(q + 1)**2
Suppose 10 = 12*b - 7*b. Solve -5*w**2 - 10*w**2 + 45*w + w**2 + 9*w**b = 0 for w.
0, 9
Let g(s) be the third derivative of 14*s**2 + 4/5*s**3 - 1/25*s**6 - s + 0 - 11/20*s**4 + 1/350*s**7 + 21/100*s**5. Let g(l) = 0. Calculate l.
1, 2, 4
Let p(z) = z**2 + 16. Let s = 23 + -23. Let c be p(s). Let 156*q**4 + c*q**2 + 55*q**5 - 63 + 35*q**5 + 88*q**3 + 63 = 0. Calculate q.
-2/3, -2/5, 0
Let s(f) be the second derivative of -f**4/54 - 283*f**3/27 - 94*f**2/3 + 23*f + 14. Factor s(k).
-2*(k + 1)*(k + 282)/9
Let w(z) = 3*z**2 + 123*z + 338. Let m(k) = -24*k**2 - 984*k - 2703. Let p(b) = -4*m(b) - 33*w(b). Factor p(j).
-3*(j + 3)*(j + 38)
Factor 7374 - 5*x**2 - 12320*x + 2429 + 866 + 1487 + 169.
-5*(x - 1)*(x + 2465)
Let j(y) = y**2 + 13*y + 16. Let a be j(-10). Let d be ((-50)/(-125))/(a/(-20)). Solve -d - 6/7*l + 2/7*l**3 + 0*l**2 = 0.
-1, 2
Solve 85/2*g**2 + 165/2*g + 5/6*g**3 + 245/6 = 0.
-49, -1
Suppose 271 = 3*x - 4*r, -2*x - 2*x + 348 = -2*r. Suppose -7*z + 85*z**3 + 23*z - x*z**2 - 35*z**4 + 14*z + 5*z**5 = 0. What is z?
0, 1, 2, 3
Suppose 0 = -31*z + 20*z + 22. Factor -2*p**3 - 12 + 86*p - 12*p**4 + 13*p**4 - 114*p - 19*p**z.
(p - 6)*(p + 1)**2*(p + 2)
Let x(y) be the second derivative of -7*y**6/200 - 3*y**5/25 + y**4/10 - 51*y**2/2 - 64*y - 1. Let f(a) be the first derivative of x(a). Factor f(u).
-3*u*(u + 2)*(7*u - 2)/5
Let m(s) be the third derivative of -s**8/231 + 4*s**7/165 - 3*s**6/440 - 53*s**5/660 + 25*s**4/264 - s**3/22 + 914*s**2. Solve m(k) = 0 for k.
-1, 1/4, 1, 3
Let x(m) = m**3 + 1. Let o(i) = -9 + 7*i**2 - 15*i - 9*i**3 - 9*i**3 + 5*i**2. Let t = -20 - -35. Let w(s) = t*x(s) + o(s). Suppose w(b) = 0. What is b?
1, 2
Suppose 5584*a - 5585*a - 5 = -5*c, -5*a + 3*c - 3 = 0. Factor 1/2*g**2 - 9/2 + a*g.
(g - 3)*(g + 3)/2
Find r, given that -4/9*r**2 + 364/9*r + 368/9 = 0.
-1, 92
Let a = -22 - -31. Suppose -3*n + 0*o + 2*o = -16, -o - a = -2*n. Factor 2*i + 0*i**3 - n*i**3 + 4*i**3 - 4*i + i**2 - i**4.
-i*(i - 2)*(i - 1)*(i + 1)
Let j be (-6)/4*112/(-1470)*5. Determine n so that 0 + 2/7*n**5 + 10/7*n**4 + 2*n**2 + j*n + 18/7*n**3 = 0.
-2, -1, 0
Suppose -371 = 3*q - 383. Determine k, given that 43*k**3 + 30*k**q - 29*k**3 + 11*k**3 - 5*k - 10*k**2 = 0.
-1, -1/3, 0, 1/2
Let m(i) be the second derivative of 0*i**2 - 1/75*i**6 - i + 23 + 0*i**3 - 1/6*i**4 - 3/25*i**5. Factor m(x).
-2*x**2*(x + 1)*(x + 5)/5
Let m(b) = -b + 2. Let p(g) = g**2 + 11*g + 19. Let t be p(-8). Let u be m(t). Factor -228 + 2*j + u*j - 2*j**2 + j + 240.
-2*(j - 6)*(j + 1)
Suppose 2*i + 4*y = 11*y - 806, y = 4. Let a = 392 + i. Factor 0*z**2 + 0*z + 2/9*z**5 - 2/9*z**a + 0 + 0*z**4.
2*z**3*(z - 1)*(z + 1)/9
Let p(u) be the first derivative of -u**7/42 + 7*u**6/30 - u**5/2 - 17*u + 77. Let s(l) be the first derivative of p(l). Factor s(r).
-r**3*(r - 5)*(r - 2)
Let f = -592984 - -592984. Factor -2/15*l**4 + 4/15*l**3 - 2/15*l**5 + f*l**2 + 0*l + 0.
-2*l**3*(l - 1)*(l + 2)/15
Let k = -8918 + 8920. Let r = -4 - -8. What is g in 1/8*g**3 + 3/4*g**k + 0*g - r = 0?
-4, 2
What is l in -196/3*l**2 + 2/9*l**3 + 0 - 590/9*l = 0?
-1, 0, 295
Suppose 50082 - 50002 = 40*p. Determine r so that -4/5*r**5 + 12/5*r**p + 0 - 4/5*r**3 + 8/5*r - 12/5*r**4 = 0.
-2, -1, 0, 1
Let k(y) = y**3 + 6*y**2 - 5*y - 5. Let s be k(-6). Let z(o) = -317*o - 1900. Let w be z(-6). Factor -15*x + s*x**2 + 5*x**4 + 24*x**3 - 10 - 20*x**w - 9*x**3.
5*(x - 1)*(x + 1)**2*(x + 2)
Let y(j) be the second derivative of j**6/6 - 3*j**5/2 + 5*j**4/12 + 20*j**3 + 40*j**2 - 5*j + 44. Factor y(o).
5*(o - 4)**2*(o + 1)**2
Let n(d) = 4*d**2 - 6 - 5*d**2 + d**2 - 2*d**2 + 12*d. Let s(p) = -3 - 3 + 5. Let r(h) = n(h) + 12*s(h). Determine w, given that r(w) = 0.
3
Let x be 10/(-12)*(-12)/180. Let s(r) be the second derivative of 0 - 4/45*r**6 + 15*r + 0*r**4 + 0*r**2 - x*r**3 + 1/42*r**7 + 1/10*r**5. Factor s(d).
d*(d - 1)**3*(3*d + 1)/3
Suppose -28 = 2*q - 152. Let m = -60 + q. Factor 16*s**m + 8 + 0*s - 10*s - 10*s - 4*s**3.
-4*(s - 2)*(s - 1)**2
Factor -448/3 + 80/3*w**3 + 704/3*w - 128*w**2 - 4/3*w**4.
-4*(w - 14)*(w - 2)**3/3
Let j be 2535/9711 + (-2)/6. Let f = j - -427/166. Determine k, given that -15/4*k**2 - 5/4*k**3 + 0 - f*k = 0.
-2, -1, 0
Let g(m) be the third derivative of -m**6/600 - m**5/5 - 59*m**4/120 + 1019*m**2. Factor g(j).
-j*(j + 1)*(j + 59)/5
Let v(f) be the first derivative of -f**4/60 - 2*f**3/5 - 11*f**2/10 - 9*f + 4. Let p(h) be the first derivative of v(h). Solve p(q) = 0.
-11, -1
Suppose 38*n - 37*n - 3*x = 15, 4*n + 5*x = 145. Let u be (32 - n)*(7/2 + -2). Factor 24*w**2 + 0 + 39/2*w**u + 9/2*w**4 + 6*w.
3*w*(w + 2)**2*(3*w + 1)/2
Let i be 0*(140/(-5) + 27). Factor i - 12/5*z**3 + 3/5*z**2 + 18/5*z + 3/5*z**4.
3*z*(z - 3)*(z - 2)*(z + 1)/5
Let v be ((-92)/(-8) - 3)/((-1)/12). Let d be ((-12)/36)/(2/v). Factor 4*c**2 - 9*c**4 - 2*c**5 - d*c + 19*c + 5*c**4.
-2*c*(c - 1)*(c + 1)**3
Let u(w) = 745*w**3 - 747*w**2 - 1482*w + 4. Let t(j) = 743*j**3 - 745*j**2 - 1480*j + 4. Let m(n) = -6*t(n) + 4*u(n). Solve m(d) = 0.
-1, 2/739, 2
Let o be (-6)/51 + 2/((-408)/(-92)). Solve 0 + l**3 + 0*l**2 + 0*l + o*l**4 = 0.
-3, 0
Let n(r) be the second derivative of r**4/3 + 708*r**3 + 563922*r**2 - 2*r + 4049. Factor n(a).
4*(a + 531)**2
Let j be (-266)/(-38) - 2/((-28)/(-91)). Let s(z) be the second derivative of 0 - 1/20*z**5 - j*z**3 + 1/3*z**4 + 0*z**2 + 13*z. Factor s(y).
-y*(y - 3)*(y - 1)
Let x(y) be the second derivative of -y**4/12 - 27*y**3/2 + 14*y - 11. Factor x(b).
-b*(b + 81)
Let k be (-111)/925*320/(-24). What is n in 6/5 - k*n - 34/5*n**2 - 4*n**3 = 0?
-1, 3/10
Let x be (3/(((-20)/18)/(-2)))/((-171)/(-114)). Factor -3/5*p**3 + 6 - x*p**2 - 9/5*p.
-3*(p - 1)*(p + 2)*(p + 5)/5
Let x = 227/620 + -1/62. Let c(b) be the second derivative of -x*b**5 + 0*b**2 - 3/4*b**4 - 9*b - 1/3*b**3 + 0. Let c(g) = 0. What is g?
-1, -2/7, 0
Let x(v) = 12*v**5 + 154*v**4 + 46*v**3 - 186*v**2 - 304*v - 124. Let l(p) = p**5 + 9*p**4 - p**3 + p**2 + p. Let n(w) = 10*l(w) - x(w). Factor n(d).
-2*(d - 2)*(d + 1)**3*(d + 31)
Suppose -9*h = -8*h + 487. Let x = -484 - h. Find w such that 4/3*w**5 - 28/3*w**4 - 8/3*w**2 - 20*w + 56/3*w**x + 12 = 0.
-1, 1, 3
Let g(m) be the third derivative of -11/70*m**7 + 0*m**3 + 11/20*m**5 + 0*m - 3/8*m**4 - 45*m**2 + 1/14*m**8 + 0 - 1/8*m**6. Solve g(p) = 0.
-1, 0, 3/8, 1
Solve -106666/3*h - 321602/9 - 2/9*h**3 + 178*h**2 = 0.
-1, 401
Let q be (42/6)/(8/2 - 1) - 0. Solve -4/3 - 8/3*x + 5/3*x**3 + q*x**2 = 0.
-2, -2/5, 1
Let y(a) = -a**3 - 29*a**2 + 48*a - 37. Let j(w) = -w**3 - 15*w**2 + 24*w - 19. Let s(c) = c - 25. Let m be s(35). Let h(g) = m*j(g) - 6*y(g). Factor h(u).
-4*(u - 2)**3
Let j(h) = 35*h**2 - 575*h + 3920. Let q = 121 + -125. Let g(m) = -9*m**2 + 144*m - 980. Let l(i) = q*j(i) - 15*g(i). Factor l(n).
-5*(n - 14)**2
Let z be (-4)/5*((-2)/4 - 2). Suppose -6*w = -5*w - z. Solve 5*l**2 + 16*l**2 + 5*l**3 - 6*l**w = 0 for l.
-3, 0
Let n(w) = -30*w - 114. Let g be n(-4). Suppose -16*h - 13*h + g*h = 0. Let h*q**2 - 2/7*q**3 + 0*q - 2/7*q**4 + 0 = 0. Calculate q.
-1, 0
Suppose -29*x - x = 3870. Let h be (-1419)/x + (-67)/9. Factor -10/9 - 2/3*q**2 + h*q.
-2*(q - 5)*(3*q - 1)/9
Let a be 9/(-24) + (-2702)/(-5712). Let g = a + 143/102. What is f in 3/2*f + 1/2*f**3 + g*f**2 + 1/2 = 0?
-1
Suppose -3 = -s + 2. Suppose 5*h = -s*h + 20. Find c, given that -5*c**5 + 4 + 20*c**3 - 2*c**2 - 15*c + 0*c**h - 14 + 12*c**2 = 0.
-1, 1, 2
Let d(w) be the first derivative of -14/13*w**3 + 147/13*w**2 - 686/13*w + 37 + 1/26*w**4. Factor d(z).
2*(z - 7)**3/13
Let y be (-140)/(-34) - (-11 - 7371/(-663)). Solve -2/9*f**5 + 10/9*f - 8/9*f**3 + 16/9*f**y + 100/9 - 116/9*f**2 = 0 for f.
-2, -1, 1, 5
Factor 0*p + 0 - 2*p**3 + 26/7*p**4 + 4/7*p**5 + 0*p**2.
2*p**3*(p + 7)*(2*p - 1)/7
Suppose -915*b - 188 + 53 - 81 + 807*b + 108*b**2 - 4*b**4 - 4*b**3 = 0. What is b?
-6, -1, 3
Determine k so that -352/7*k + 3492/7 - 4/7*k**2 = 0.
-97, 9
Let l(b) = -17*b + 9. Let y be l(4). Let v = -45 - y. Find g such that 24*g - 4 + 8 - 10 - 2 + v*g**2 = 0.
-2, 2/7
Determine q, given that -7269/11*q**2 - 1/11*q**4 - 2422/11 + 7267/11*q + 2425/11*q**3 = 0.
1, 2422
Let q 