3) - 2)*2. Suppose l = q + 2. Factor -3*x - 15*x**q - 6*x + 9 - 3.
-3*(x + 1)*(5*x - 2)
Let s(p) = -2*p**2 - 6*p. Let m(f) = f**2 - f. Suppose 5*o - 2*c = -0*c + 150, o + c - 23 = 0. Let h = o - 29. Let i(j) = h*s(j) + 2*m(j). Solve i(z) = 0.
-1, 0
Let i(b) = -32*b**2 + 568*b + 500. Let y(h) = -11*h**2 + 190*h + 166. Let r(s) = 7*i(s) - 20*y(s). Factor r(o).
-4*(o - 45)*(o + 1)
Factor -2*u**3 + 0*u - 2/13*u**4 + 0 + 0*u**2.
-2*u**3*(u + 13)/13
Let l(t) = 32056*t - 224340. Let c be l(7). Factor -440/3*j + c*j**2 + 242/3 + 40/3*j**3 + 2/3*j**4.
2*(j - 1)**2*(j + 11)**2/3
Let y be 20/(-225)*-87*-78. Let q = y + 604. Suppose -q + 4/5*z**2 + 2/5*z - 2/5*z**3 = 0. What is z?
-1, 1, 2
Let t(w) = -102*w**4 + 168*w**3 + 310*w**2 - 1093*w + 630. Let f(u) = -7*u**4 + 12*u**3 + 22*u**2 - 78*u + 45. Let x(q) = 87*f(q) - 6*t(q). Factor x(c).
3*(c - 1)**2*(c + 5)*(c + 9)
Let -322/5*k + 64 + 2/5*k**2 = 0. What is k?
1, 160
Solve -2600/3*n - 62/3*n**3 - 2/3*n**4 - 2000/3 - 220*n**2 = 0 for n.
-10, -1
Solve 74*d - 81*d + 0*d - 110 - 46*d + d**2 = 0 for d.
-2, 55
What is y in -400/11 - 210/11*y + 364/11*y**2 + 208/11*y**3 + 2/11*y**5 + 36/11*y**4 = 0?
-8, -5, -1, 1
Let h(s) = 6*s**2 - 53*s - 39. Let j be (-2)/(-1)*(-2700)/120. Let l(y) = -65*y**2 + 580*y + 430. Let o(b) = j*h(b) - 4*l(b). Factor o(q).
-5*(q - 7)*(2*q + 1)
Let p(y) = 4*y - 8. Let o be p(4). Let f be (-33)/44 + 38/o. Factor -b**3 + 2*b - b**3 + 2*b**2 + f*b**2 - 6*b**3.
-2*b*(b - 1)*(4*b + 1)
Let d be (2419/6970 + (-9)/(-30))*(-2)/(-11). Let u = 2180/4199 - 12/247. Determine n, given that u*n - 8/17 - d*n**2 = 0.
2
Let y(w) be the second derivative of w**6/6 - 429*w**5/4 + 102245*w**4/4 - 14621035*w**3/6 + 16*w + 50. Suppose y(b) = 0. What is b?
0, 143
Suppose 282*z - 6283 + 5719 = 0. Determine p, given that 4/5*p**z - 11*p - 14/5 = 0.
-1/4, 14
Let d(c) = 3*c - 59. Let b be d(22). Factor -30 + b*t**2 + 5*t**3 + t**4 + 30 + 16*t - 13*t.
t*(t + 1)**2*(t + 3)
Factor -3249*k**2 - 1/3*k**4 - 61731*k - 57*k**3 + 0.
-k*(k + 57)**3/3
Let o = 17192 + -17190. Let y(p) be the third derivative of -23*p**o + 0 + 1/8*p**3 + 3/32*p**4 + 1/40*p**5 + 0*p. Solve y(m) = 0 for m.
-1, -1/2
Let y = 1993 - 1993. Let k(g) be the second derivative of -11*g + 1/195*g**6 + 0*g**4 + 0*g**5 - 1/273*g**7 + y + 0*g**2 + 0*g**3. Factor k(j).
-2*j**4*(j - 1)/13
Let g(r) = r**2 + 589*r + 152. Let q(o) = -o**2 - 292*o - 75. Let t(w) = -6*g(w) - 14*q(w). Let t(k) = 0. What is k?
-69, -1/4
Let t(v) be the first derivative of 189*v**4/4 - 2173*v**3 - 1674*v**2 - 420*v + 1572. Factor t(n).
3*(n - 35)*(7*n + 2)*(9*n + 2)
Let z = 16161 - 48481/3. Find m such that z + 8*m**2 - 11/3*m**3 - 5*m = 0.
2/11, 1
Suppose p + 568 = 4*v, -66*p + 2876 = -71*p + 2*v. Let k be -4 + (p/33)/(-4). Factor -k*f - 2/11*f**2 + 0 + 2/11*f**3.
2*f*(f - 2)*(f + 1)/11
Suppose 6*l = 3*y + 2*l - 64, -3*l = -5*y + 125. Suppose 14*r = 7*r + y. Determine h so that 1/2 + 7/2*h**2 - h**3 - r*h**4 + 11/4*h - 7/4*h**5 = 0.
-1, -2/7, 1
Let x be 8/80*-6*25. Let u be 8/48 - 20/x. Factor -1/2*l**3 - 5/2*l**2 + 9/2 - u*l.
-(l - 1)*(l + 3)**2/2
Let s(m) be the second derivative of -m**6/45 + 2*m**5/15 + 8*m**4/3 + 112*m**3/9 + 80*m**2/3 + 5391*m. What is g in s(g) = 0?
-2, 10
Factor -2/9*i**3 + 64/3 + 100/9*i - 94/9*i**2.
-2*(i - 2)*(i + 1)*(i + 48)/9
Let u(h) be the first derivative of -4*h**5/5 + 244*h**4 - 58552*h**3/3 - 60024*h**2 - 60516*h - 1055. Factor u(l).
-4*(l - 123)**2*(l + 1)**2
Let z(u) be the first derivative of 0*u**3 + 81 - 5*u**2 + 5*u + 5/2*u**4 - u**5. Factor z(l).
-5*(l - 1)**3*(l + 1)
Let o = -12 + 63/5. Let z = 22124 + -110608/5. Solve 0 + 3*c**2 + z*c**3 + o*c**4 + 6/5*c = 0 for c.
-2, -1, 0
Let p(t) be the second derivative of -t**4/60 + 19*t**3/15 - 176*t**2/5 + 618*t. Factor p(r).
-(r - 22)*(r - 16)/5
Let l(w) be the third derivative of w**6/120 + 8*w**5/5 - 511*w**4/24 - 101*w**3 + 601*w**2. Determine n so that l(n) = 0.
-101, -1, 6
What is w in -52/3*w + 158/3*w**2 + 18*w**3 - 48 - 14/3*w**4 - 2/3*w**5 = 0?
-9, -2, -1, 1, 4
Let k(r) be the first derivative of -15*r**4/8 - 16*r**3/3 - r**2 - 346. Factor k(h).
-h*(h + 2)*(15*h + 2)/2
Let t be (-6864)/42*11/(-22). Let b = 84 - t. Let -4/7*q**2 + 4/7*q**3 - 16/7*q + b = 0. What is q?
-2, 1, 2
Determine y, given that 7 + 1/3*y**2 + 22/3*y = 0.
-21, -1
Factor 31/5*i**3 - 27/5 - 189/5*i**2 + 297/5*i.
(i - 3)**2*(31*i - 3)/5
Suppose -3*k + 215264 = 28*k. Solve -k*d + d**2 - 21 - 21 + 6955*d = 0.
-14, 3
Let r = 11 - 8. Suppose 0*j - 9 = -2*h + r*j, 4*j = 3*h - 13. What is s in 7 + 12*s**2 + 4*s - 4*s**h - 10 - 4*s**4 - 5 = 0?
-2, -1, 1
Let x = -2057/168 - -86/7. Let t(s) be the second derivative of 0 + s**2 - 1/4*s**3 - x*s**4 + 7*s. Suppose t(i) = 0. What is i?
-4, 1
Let q(p) be the first derivative of p**4/6 - 14*p**3/9 + 4*p**2 - 1698. Factor q(u).
2*u*(u - 4)*(u - 3)/3
Let h(c) = 6*c**3 + c**2 - c + 1. Let w(s) = -142*s**3 + 1212*s**2 + 1258*s - 24. Let y(l) = 24*h(l) + w(l). Factor y(d).
2*d*(d + 1)*(d + 617)
Let i(r) be the first derivative of 3*r**5/140 - r**4/14 + r**3/14 + 74*r - 58. Let k(c) be the first derivative of i(c). Factor k(u).
3*u*(u - 1)**2/7
Let i(h) be the first derivative of h**6/10 + 33*h**5/25 + 57*h**4/20 - 99*h**3/5 - 324*h**2/5 - 324*h/5 - 1259. Let i(g) = 0. What is g?
-6, -1, 3
Let w(r) = -r**3 + r**2 + 2*r - 2. Let z(o) = -16*o**3 - 41*o**2 + 1349*o + 436. Let l(q) = -7*w(q) + z(q). Suppose l(b) = 0. What is b?
-15, -1/3, 10
Let f(g) = -29*g**2 - 90*g + 3. Let v(i) = 9*i**2 + 2*i - 1. Let j(p) = 2*f(p) + 6*v(p). Factor j(w).
-4*w*(w + 42)
Let t(h) = 3*h**3 + 88*h**2 - 134*h - 9. Let x(g) = 3*g**3 + 84*g**2 - 132*g - 8. Let f(y) = -8*t(y) + 9*x(y). Factor f(m).
m*(m - 2)*(3*m + 58)
Let g(d) be the second derivative of 169*d**7/2520 + 13*d**6/120 + 3*d**5/40 + 73*d**4/12 + 60*d. Let n(y) be the third derivative of g(y). Factor n(w).
(13*w + 3)**2
Let z be (52/6)/((-12)/(-18)). Let -2*h**4 + z*h - 16*h**3 - h**3 + 3*h - 18 + 20*h**2 + h**3 = 0. What is h?
-9, -1, 1
Let l = 175 + -173. Factor u**3 - 5*u**3 + 7*u**2 + 13*u**l + 4*u - 28*u.
-4*u*(u - 3)*(u - 2)
Suppose z + 37 = 3*y, -3*y + z + 29 = 2*z. Suppose -37 = -3*v - 5*o, 2*o - 3*o = -4*v + y. Suppose -3 + 2/3*p**2 - 1/3*p**4 - v*p + 4/3*p**3 = 0. Calculate p.
-1, 3
Let d = 6438 + -6433. Let s(h) be the first derivative of -12*h + d*h**2 - 2/3*h**3 - 11. Factor s(g).
-2*(g - 3)*(g - 2)
Let d(n) be the second derivative of 0 + 1/570*n**5 + 48/19*n**3 - 36*n - 2*n**2 + 2/19*n**4. Let p(r) be the first derivative of d(r). Factor p(o).
2*(o + 12)**2/19
Let a(k) = k**4 + 8*k**3 + 9*k**2 - 14. Let r(m) = 6*m**3 + 9*m**2 - 21. Let q(u) = -3*a(u) + 2*r(u). Factor q(s).
-3*s**2*(s + 1)*(s + 3)
Let a(t) be the second derivative of t**6/120 - t**5/40 - 19*t**4/48 - 7*t**3/6 - 3*t**2/2 - 27*t - 23. Find o such that a(o) = 0.
-2, -1, 6
Let v = -81 - -213. Suppose 2*n + 4*x + 9 = 65, -4*n + v = 4*x. Let 36*w**2 - n + 3*w**3 - 7*w**3 - 60*w - 62 = 0. What is w?
-1, 5
Let x(v) be the second derivative of v**7/210 - 53*v**6/30 + 359*v**5/2 - 5227*v**4/6 + 10349*v**3/6 - 17161*v**2/10 + 2707*v. Find z such that x(z) = 0.
1, 131
Let m = -245 - -242. Let u be 2 + -7 + 2 + m + 6. Factor 0*o - 20/3*o**2 - 4/3*o**4 + 8*o**3 + u.
-4*o**2*(o - 5)*(o - 1)/3
Let x(d) = -3*d**3 - d**2 + 4*d - 3. Let c be x(1). Let m be ((-3 + c)/18)/((-2)/156). Determine i, given that 39*i - 83*i + m*i - i**2 - 81 = 0.
-9
Let z be (225/12)/(12/24). Suppose 6 + z*g**2 + 30*g = 0. Calculate g.
-2/5
Let h(g) = 6*g**3 + 40*g**2 - 60*g + 8. Let r(p) = -10*p**3 - 39*p**2 + 61*p - 6. Let k(s) = -5*h(s) - 4*r(s). Factor k(u).
2*(u - 2)**2*(5*u - 2)
Solve -78/7*r**2 - 10*r**3 + 10*r + 4/7 + 74/7*r**4 = 0.
-1, -2/37, 1
Suppose -39 + 12 = -21*g + 36. Solve 8/7*j**4 + 4/7*j**5 - 12/7*j**g + 0*j + 0*j**2 + 0 = 0.
-3, 0, 1
Let -99 - 32993*l**2 + 32994*l**2 + 396*l + 494 = 0. Calculate l.
-395, -1
Let j = -1/5467 - -10943/49203. Suppose 2/3*n + 0 - 2/9*n**4 - 2/3*n**3 + j*n**2 = 0. Calculate n.
-3, -1, 0, 1
Let t(b) be the first derivative of b**6/30 - 2*b**5/5 + 3*b**4/2 - 53*b**2/2 + 165. Let o(n) be the second derivative of t(n). Factor o(c).
4*c*(c - 3)**2
Let i(h) = -h**3 + 4*h**2 - 10. Let l(s) = -176*s**3 - 414*s**2 + 660*s + 1730. Let c(g) = 35*i(g) - 5*l(g). Factor c(n)