2)
Suppose 0*k + 4*k + 2 = 2*v, -22 = -4*v + 2*k. Let x(j) = j**2 - 13*j - 418. Let t be x(-15). Factor v*i + 2 - 1 + i**t - 9*i.
(i - 1)**2
Let u(x) be the second derivative of -1/12*x**5 + x**2 + 37*x + 0 - 10/3*x**3 - 5/6*x**4. Let c(i) be the first derivative of u(i). Factor c(l).
-5*(l + 2)**2
Let p(q) be the first derivative of -4*q**3/21 + 64*q**2/7 - 828*q/7 + 840. Factor p(k).
-4*(k - 23)*(k - 9)/7
Let n(i) be the second derivative of -i**4/60 - 1087*i**3/30 + 544*i**2/5 + 4*i - 56. Factor n(x).
-(x - 1)*(x + 1088)/5
What is a in 58*a**2 - 23*a**3 - 2*a**4 - 71 + 152*a**2 - 423*a + 155 + 78 = 0?
-18, 1/2, 3
Let v(c) = 10*c**2 - 9715*c - 9840. Let a(q) = 5*q**2 - 4846*q - 4920. Let p(s) = 5*a(s) - 3*v(s). Suppose p(d) = 0. What is d?
-1, 984
Let l(w) = -95*w + 162. Let i be l(-11). Suppose -1217*u = -i*u - 20. Determine h so that 1/2*h + 1 - 1/2*h**u = 0.
-1, 2
Suppose -v = -2*g - 9, g + 9 = -80*v + 82*v. Let h(f) be the first derivative of -2/5*f**5 + 2*f**4 + 17 + 2/3*f**v + 0*f - 4*f**2. Factor h(o).
-2*o*(o - 4)*(o - 1)*(o + 1)
Factor 22*m**2 + 32/7*m**3 + 28*m + 2/7*m**4 + 0.
2*m*(m + 2)*(m + 7)**2/7
Let t(p) = -21*p**4 - 131*p**3 + 630*p**2 - 348*p - 6. Let c(f) = -125*f**4 - 785*f**3 + 3780*f**2 - 2090*f - 35. Let a(b) = -6*c(b) + 35*t(b). Factor a(h).
5*h*(h - 3)*(h + 12)*(3*h - 2)
Let w = 75 - 72. Determine j so that -20*j - w + 8*j + 67 + 4*j**2 - 20*j = 0.
4
Let q be 57/24 - 39/104. Find j such that -160*j + 7*j**2 - 1600 - 3*j**2 - 2*j**q - 6*j**2 = 0.
-20
Let o(h) = 352*h**2 - 4524*h - 658. Let v be o(13). Let x(q) = q**2 - 7*q + 2. Let z be x(7). Factor -30/7*f**z + v*f + 2/7*f**3 - 14.
2*(f - 7)**2*(f - 1)/7
Let u(n) be the third derivative of -n**7/42 + 13*n**6/24 - 7*n**5/12 - 95*n**4/8 - 30*n**3 - 2*n**2 + 66. Let u(l) = 0. What is l?
-1, 3, 12
Let w(l) be the third derivative of -l**6/80 + 27*l**5/8 + 69*l**4/2 + 139*l**3 + 50*l**2 + 2*l - 56. Factor w(k).
-3*(k - 139)*(k + 2)**2/2
Let x(s) be the second derivative of -7*s**4/66 + 5*s**3/33 + 38*s**2/11 + 4268*s. Factor x(g).
-2*(g + 2)*(7*g - 19)/11
Let x(l) be the first derivative of -l**6/1080 + l**5/36 + 11*l**4/72 + l**3/3 + 63*l + 35. Let o(i) be the third derivative of x(i). Factor o(g).
-(g - 11)*(g + 1)/3
Suppose 3*g = -9 - 3, -3*h = 5*g + 8. Let b be h/(-10) - 27302/(-2805). Factor -p**3 + 0 + 20/3*p - b*p**2.
-p*(p + 10)*(3*p - 2)/3
Factor 1370 - 4*i**3 - 1370 + i**3 + 81*i**2 + 714*i.
-3*i*(i - 34)*(i + 7)
Suppose 0 = -86*i + 76*i + 30. Factor 14*k**4 - 30*k**i - 28*k - 5*k**4 - 5*k**5 + 44*k**2 + 4*k**5 + 4*k.
-k*(k - 3)*(k - 2)**3
Let d = 292439/19 + -15389. Find a such that 16/19*a**2 - 18/19*a**4 - d*a**3 + 64/19*a - 32/19 = 0.
-2, 2/3
Let f(g) be the third derivative of 2*g + 1/12*g**4 + 28*g**2 + 0 + 1/90*g**5 + 5/27*g**3 - 1/540*g**6. Factor f(w).
-2*(w - 5)*(w + 1)**2/9
Let j(h) be the first derivative of -h**6/60 - h**5/5 - 3*h**4/4 - 4*h**3/3 - 82*h**2 + 3. Let v(z) be the second derivative of j(z). Factor v(g).
-2*(g + 1)**2*(g + 4)
Suppose 5*u - 6*s = -2*s + 2, -4*u + 6 = -s. Factor 70*k - 13 - k**2 + 4*k**u - 23 - 103*k.
3*(k - 12)*(k + 1)
Let o(h) be the second derivative of -5*h**5/8 + 490*h**4/3 - 781*h**3/3 + 156*h**2 + 2*h + 2720. Let o(p) = 0. What is p?
2/5, 156
Let s(t) be the second derivative of 10 + 7/16*t**5 + 2*t + 5/12*t**4 - 5/8*t**3 + 0*t**2. Let s(m) = 0. What is m?
-1, 0, 3/7
Suppose 5*z + n - 24 = 0, -5*n = -z - n - 54. Find a such that -8/11*a**3 + 20/11 - 14/11*a**z + 14/11*a = 0.
-2, -1, 5/4
Let y = 280618453/45 - 6235616. Let k = 1757/5 - y. Solve k*s**2 + 0 + 32/9*s + 2/9*s**3 = 0.
-4, 0
Let m(h) be the third derivative of -69169*h**8/336 - 13939*h**7/14 - 7075*h**6/4 - 7393*h**5/6 - 535*h**4/8 - 3*h**3/2 - 4426*h**2. What is z in m(z) = 0?
-1, -3/263
Let y be ((-25)/20)/((-7225)/48552). Factor 3/5*r**3 + 0 + 3*r**2 - y*r.
3*r*(r - 2)*(r + 7)/5
Let o(g) be the first derivative of g**3/7 + 18*g**2/7 + 96*g/7 + 225. Factor o(l).
3*(l + 4)*(l + 8)/7
Find o, given that -9/5*o**4 - 11/5*o**3 - 2/5*o**5 + 0*o**2 + 4/5*o + 0 = 0.
-2, -1, 0, 1/2
Let c be 3699*(4 + -10 + 7). Factor 96*t**2 - 156*t + 3715*t**3 + 32 + 12*t**2 - c*t**3.
4*(t - 1)*(t + 8)*(4*t - 1)
Let q(f) be the second derivative of -4*f**7/63 + 34*f**6/45 - 8*f**5/15 - 256*f**4/9 + 1280*f**3/9 - 512*f**2/3 + 133*f - 9. What is k in q(k) = 0?
-4, 1/2, 4
Let w = -599218 + 599218. Factor w - 24/13*s + 6/13*s**3 + 32/13*s**2.
2*s*(s + 6)*(3*s - 2)/13
Let c be (14/(-4))/((21/(-7))/6). Find u such that 27*u - 10*u**3 + c - 7 + 5*u**5 - 22*u = 0.
-1, 0, 1
Suppose -78*d - 32*d + 21*d + 72 + 195 = 0. Suppose -96/7*k**d + 4/7 + 26/7*k + 16/7*k**2 = 0. Calculate k.
-1/4, 2/3
Find t such that 52*t + 262/5 - 2/5*t**2 = 0.
-1, 131
Let x = -2103/1565 + 1297/313. Suppose 4*f - 2 = -3*z, -4*f = -2*z - 3*f + 5. Factor x*b**z - 2/5*b**3 + 2 - 22/5*b.
-2*(b - 5)*(b - 1)**2/5
Let -40/3*v - 50 - 2/3*v**2 = 0. What is v?
-15, -5
Let w be ((140/(-63))/1)/(1534/(-2124)). Find i, given that -32/13*i - 8/13*i**5 - 10/13*i**2 + 8/13 + w*i**3 + 2/13*i**4 = 0.
-2, -1, 1/4, 1, 2
Let r(o) be the second derivative of o**7/14 - 4*o**6/5 + 9*o**5/10 + 2*o**4 - 7*o**3/2 - 21*o - 2. Factor r(s).
3*s*(s - 7)*(s - 1)**2*(s + 1)
Let v = -36 - -311. Factor 180 + v*m + m**4 + 70 - 225*m**2 + 13*m**3 + 330*m**2 + 4*m**3.
(m + 2)*(m + 5)**3
Suppose -3*m + 5 = -10. Suppose -m*j + 205 = -15. Solve -1 + 89*c - j*c - c**2 - 43*c = 0.
1
Let q be (68/102)/(2/3369). Factor -557 + 5*c**2 + q - 526 - 30*c.
5*(c - 4)*(c - 2)
Let 9/5*r**4 + 0 - 4/5*r**3 + 0*r - 36/5*r**2 + 1/5*r**5 = 0. Calculate r.
-9, -2, 0, 2
Let m(w) be the third derivative of w**5/40 + 13*w**4/8 + 12*w**3 - 283*w**2 + 3. Factor m(z).
3*(z + 2)*(z + 24)/2
Let j = -7260 + 7266. Factor 0*b + 0 - j*b**3 - 6*b**2 - 3/2*b**4.
-3*b**2*(b + 2)**2/2
Let a = -281 - -329. Find d, given that a*d**4 - 29*d**3 + 28*d**5 - 2*d**4 - 8*d**2 + 2*d**4 + 41*d**3 = 0.
-1, 0, 2/7
Let j(n) be the third derivative of -n**5/180 - 5*n**4/9 - 38*n**3/9 + 2*n**2 + 921*n. Factor j(w).
-(w + 2)*(w + 38)/3
Solve 64009/10*l**2 + 49/10 + 1771/5*l = 0 for l.
-7/253
Let g be 3 + 5/(((-490)/(-21))/(-14)). Let s(t) be the second derivative of 28*t + g*t**6 + 1/21*t**7 + 2*t**2 - 2/5*t**5 + 0 - 1/3*t**4 + t**3. Factor s(h).
2*(h - 2)*(h - 1)*(h + 1)**3
Let o(n) = -4*n**2 + 2*n + 5. Let i(j) = 5*j - 2. Let s be i(2). Suppose -7*z = -9*z + s. Let x(v) = 5*v**2 - 3*v - 6. Let l(b) = z*o(b) + 3*x(b). Factor l(t).
-(t - 1)*(t + 2)
Let 464*d**2 + 0*d**3 + 573 + 3540 + 279 + 4*d**3 - 2892*d = 0. What is d?
-122, 3
Let s(j) = -465*j + 932. Let m be s(2). Let w be 1 - (1 + 0 + -30). What is y in 5*y**4 - 15 - 11 + 26 - w*y**m - 5*y**3 = 0?
-2, 0, 3
Let n be -4 - 1674/(-465)*(-30)/(-4). Let w(f) be the second derivative of 4/3*f**3 + n*f - 3*f**2 + 0 - 1/6*f**4. Factor w(x).
-2*(x - 3)*(x - 1)
Let z be 347 - 357 - ((-21)/9)/((-4)/(-18)). Let v = -16 - -18. Factor -z*u - 1/2*u**v + 1/2 + 1/2*u**3.
(u - 1)**2*(u + 1)/2
Suppose 2*x - 4 = -v + x, 4*v - 13 = -5*x. Factor -50*c**2 + 2*c + v*c**4 - 17*c**4 - 4 + 34*c**3 + 20*c + 8*c**2.
-2*(c - 1)**3*(5*c - 2)
Let t be 1 + (-12)/(-42) + 402/14. Let u = t + -27. What is f in -6*f**2 - 3*f - 7*f + 7*f - 3*f**u = 0?
-1, 0
Let k(r) be the first derivative of -r**6/27 - 4*r**5/45 + 4*r**4/9 + 4*r**3/3 + r**2 + 6260. What is d in k(d) = 0?
-3, -1, 0, 3
Find w, given that -103*w - 208*w**2 + 268*w**2 + 4*w**4 - 33*w + 72*w**3 = 0.
-17, -2, 0, 1
Let z be (-1 - 0)/(14 - 20 - (45657/(-304))/27). Determine c so that 2*c**2 + 2/7*c**4 - z + 12/7*c**3 - 12/7*c = 0.
-4, -2, -1, 1
Let b(w) = 3*w**2 + 16*w - 11. Let t be b(-14). Let j = -683/2 + t. Factor j*r - 3 - 2*r**3 + 5/2*r**2.
-(r - 3)*(r + 2)*(4*r - 1)/2
Factor 0 + 0*z + 101/3*z**3 - 3*z**2.
z**2*(101*z - 9)/3
Let z be (6 - (-20)/14) + (-1 - (-51)/(-17)). Suppose -z + n**2 - 38/7*n = 0. Calculate n.
-4/7, 6
Let i(q) be the first derivative of 2/7*q - 2/7*q**4 + 4/7*q**3 + 17 + 2/35*q**5 - 4/7*q**2. Find x such that i(x) = 0.
1
Suppose 214*g - 76*g = 29*g. Factor g*r**2 + 1/5 - 1/5*r**4 + 2/5*r - 2/5*r**3.
-(r - 1)*(r + 1)**3/5
Suppose 1127*c - 1130*c + 24 = 0, 37 = j + 2*c. Let p(x) be the first derivative of 0*x**3 + 1/18*x**4 - 32/9*x - j - 4/3*x**2. Factor p(g).
2*(g - 4)*(g + 2)**2/9
Let f = 16928