- 2)
Suppose -87*f - 119*f - 1677 + 1677 = 0. Factor 0 - 1/2*y**5 + 1/2*y**4 + 1/2*y**3 - 1/2*y**2 + f*y.
-y**2*(y - 1)**2*(y + 1)/2
What is x in 0 - 2/11*x**3 + 0*x + 2/11*x**2 = 0?
0, 1
Suppose -74*m - 5*m**4 - 79 - 101 + 0 + 50*m**3 - 185*m**2 + 374*m = 0. Calculate m.
2, 3
Suppose -5*v = g - 23, -2*v = -5*v + 4*g. Suppose 11*m**3 + 17*m**2 + 33 + 8*m**3 + 5*m**v - 37 - m**3 = 0. What is m?
-2, -1, 2/5
Let h = -223665 + 447337/2. Factor -h*j**3 + 0*j**2 + 0 + 0*j + 1/4*j**4.
j**3*(j - 14)/4
Factor 53*w - 351649*w**2 + 1186*w**3 + 10*w**4 - 26*w - 11*w**4 - 27*w.
-w**2*(w - 593)**2
Let l(i) = 20*i**3 + 84*i**2 + 480*i + 644. Let z(t) = -4*t**3 - t**2 - 3*t + 1. Let x(s) = l(s) + 4*z(s). Factor x(c).
4*(c + 2)*(c + 9)**2
Let b(c) be the second derivative of -c**6/15 - 77*c**5 - 49151*c**4/2 + 297220*c**3/3 - 148996*c**2 + 397*c. Solve b(l) = 0.
-386, 1
Let y(w) = w**5 + w**4 - 2*w**3 + w**2 - 1. Let l(u) = 2*u**5 + 72*u**4 + 186*u**3 + 116*u**2 + 22*u + 2. Let a(m) = 2*l(m) + 20*y(m). Factor a(v).
4*(v + 1)**3*(v + 4)*(6*v - 1)
Let h(q) = q**3 + q**2 - 3*q. Let z(b) = 5*b**3 - 17*b**2 - 159*b. Let o(x) = -3*h(x) + z(x). Factor o(j).
2*j*(j - 15)*(j + 5)
Suppose 7*m - 2*m + 33*m = -2*m. Let b(h) be the second derivative of m*h**2 + 35*h + 1/60*h**6 - 3/80*h**5 + 1/48*h**4 + 0*h**3 + 0. Factor b(p).
p**2*(p - 1)*(2*p - 1)/4
Let p = 56762/155 + -10906/31. Find u, given that -24/5*u**2 - p*u**3 + 0 - 2/5*u = 0.
-1/6, 0
Let b be (-20)/((-2)/3*(-3 + 6)). Let m = 12 - b. Factor 8*s - 13*s**m - 11*s**2 + 4*s**2 - 5*s**4 + s**4 + 16*s**3.
-4*s*(s - 2)*(s - 1)**2
Let l(k) be the first derivative of -k**4/2 - 98*k**3/3 + 33*k**2 + 37026*k - 4227. Factor l(s).
-2*(s - 17)*(s + 33)**2
Suppose 0 = 36*n - 43 - 29. Suppose 4*d + 2 = 2*l, -n*d = 4 - 6. Find t such that -2/3*t**l - 2*t + 2*t**2 + 2/3 = 0.
1
Let s(b) be the third derivative of -17/30*b**5 + 0*b + 0*b**3 + 1/210*b**7 + 0 + 200*b**2 - 1/8*b**6 + 0*b**4. Factor s(h).
h**2*(h - 17)*(h + 2)
Let p(k) = 4*k**3 + 20*k**2 + 28*k + 9. Suppose -84*c + 80*c + 8 = 0. Let m(q) = q**3 + 2*q**2 + q - 1. Let u(j) = c*p(j) - 6*m(j). Solve u(y) = 0.
-12, -1
Let j be (-653 + 646)*(-6)/6*(2 + 36/(-21)). Factor -841/5 - 1/5*o**j - 58/5*o.
-(o + 29)**2/5
Let x(u) = -2*u**2 - 142*u - 396. Let z(q) = -11*q**2 - 851*q - 2376. Let g(t) = -13*x(t) + 2*z(t). Suppose g(p) = 0. What is p?
-33, -3
Let i be 44/(-7) - (-3112256)/15680. Factor -i - 62/5*p - 1/5*p**2.
-(p + 31)**2/5
Suppose -140*k + 252 - 207 + 1223 + 124 + 2*k**2 = 0. What is k?
12, 58
Let o be (2442/(-18))/(-11) + -12. Let n(v) be the second derivative of -o*v**4 + 0 + v + 0*v**2 + 0*v**3 + 1/10*v**6 - 1/5*v**5. Factor n(w).
w**2*(w - 2)*(3*w + 2)
Let j be 6/(-9)*((-6417)/(-589) + -12). Factor 20/19*v - 32/19 - 2/19*v**3 + j*v**2.
-2*(v - 8)*(v - 1)*(v + 2)/19
Let o be 5*4/60*15. Let a(c) be the second derivative of 0*c**2 + 4/147*c**7 - 1/21*c**4 + 11/105*c**6 + 0*c**3 + 0 + 1/14*c**o + 11*c. Let a(f) = 0. What is f?
-2, -1, 0, 1/4
Let l be (-48252)/13788 + 1/((-2)/(-10)). Let r = -1/2298 + l. Factor -9/4 + 3/2*m + r*m**3 + 21/4*m**2.
3*(m + 1)*(m + 3)*(2*m - 1)/4
Let u(x) be the second derivative of 5*x**5 - 620*x**4 + 494*x**3 - 148*x**2 - 7*x + 57. Factor u(g).
4*(g - 74)*(5*g - 1)**2
Solve -49/2 - 1250*b**2 - 350*b = 0.
-7/50
Suppose -2*c - 2*z = 8, -c - c + 5*z = -20. Let a(v) be the third derivative of -1/32*v**4 + 1/80*v**5 + c*v + 37*v**2 - 3/4*v**3 + 0. What is q in a(q) = 0?
-2, 3
Let b = 8265/1606 - 539/146. Determine r so that 18/11*r**4 - 8/11 + 36/11*r**3 + 10/11*r**2 - b*r = 0.
-1, -2/3, 2/3
Let i(n) be the second derivative of n**7/70 - 17*n**6/90 - 4*n**5/15 + 27*n**4/4 + 89*n. Let m(s) be the third derivative of i(s). Factor m(d).
4*(d - 4)*(9*d + 2)
Let l(p) be the second derivative of -p**7/168 - 7*p**6/30 - 31*p**5/20 - 107*p**4/24 - 163*p**3/24 - 23*p**2/4 + p - 191. Factor l(k).
-(k + 1)**3*(k + 2)*(k + 23)/4
Let l(z) be the first derivative of 2*z**6/3 + 36*z**5/5 + 24*z**4 + 64*z**3/3 + 3886. Find r, given that l(r) = 0.
-4, -1, 0
Let g(f) be the third derivative of 1/12*f**4 + 1/21*f**7 + 1/20*f**6 - 1/2*f**5 + f + 0 + 2*f**3 - 30*f**2. Factor g(t).
2*(t - 1)**2*(t + 2)*(5*t + 3)
Let i(h) = 1134*h + 1138. Let a be i(-1). Let n(y) be the second derivative of -3/25*y**5 - 2/3*y**3 - 16/15*y**a + 35*y + 0*y**2 + 0. Factor n(q).
-4*q*(q + 5)*(3*q + 1)/5
Let q(w) be the second derivative of w**6/75 + 27*w**5/50 - 14*w**4/15 - 1300*w. Factor q(n).
2*n**2*(n - 1)*(n + 28)/5
Let w(f) be the third derivative of -11*f**2 + 3/100*f**5 - 5*f + 0 + 1/24*f**4 + 1/525*f**7 + 7/600*f**6 + 1/30*f**3. Factor w(d).
(d + 1)**3*(2*d + 1)/5
Let p(b) = -b**4 - 2*b**3 - 71*b**2 - 64*b + 10. Let h(y) = y**4 + y**3 - y**2 - 4*y - 5. Let q(l) = 4*h(l) + 2*p(l). Determine n, given that q(n) = 0.
-8, -1, 0, 9
Let y(q) be the first derivative of 2*q**5/55 - 57*q**4/22 - 2*q**3/11 + 173*q**2/11 - 228*q/11 - 2749. Find m such that y(m) = 0.
-2, 1, 57
Let v(d) be the first derivative of -5*d**9/3024 + d**7/168 - 10*d**3/3 + d**2/2 - 37. Let c(h) be the third derivative of v(h). Suppose c(r) = 0. Calculate r.
-1, 0, 1
Let n(y) be the third derivative of 0*y + 8*y**3 + 7/6*y**4 + 0 + 99*y**2 + 1/15*y**5. Solve n(b) = 0.
-4, -3
Find u such that -103 + 199 + 26*u**2 - 98 - 15*u**2 + 21*u = 0.
-2, 1/11
Suppose -3*l - l = 2*l. Let g be ((0 - l) + -12)*14/(-21). Factor -g - 20*u**2 - 5*u + 4*u**3 - 18 + 10 + 37*u.
4*(u - 2)**2*(u - 1)
Let j(o) be the first derivative of o**3/6 - o**2/4 - 21*o + 3814. Factor j(g).
(g - 7)*(g + 6)/2
Let c(y) be the third derivative of 0 + 0*y + 16*y**3 - 107*y**2 + 1/15*y**5 + 25/6*y**4. Factor c(h).
4*(h + 1)*(h + 24)
Let w = 38076 + -114164/3. Factor -2/3*z**2 - 512/3 - w*z.
-2*(z + 16)**2/3
Let l(x) be the first derivative of -x**4 + 16*x**3 + 702*x**2 + 1352*x - 2966. Determine p so that l(p) = 0.
-13, -1, 26
Let h(g) = -g**3 - 376*g**2 + 3072*g + 13. Let f be h(-384). Factor -47/3*s**2 - f*s - 5/3*s**3 + 1/3*s**4 + 30.
(s - 10)*(s - 1)*(s + 3)**2/3
Let g be (128/(-3) - -44)*(-12)/(-8). Solve -2*w**4 + 0*w + 3/4*w**5 - 3/4*w**3 + 0*w**g + 0 = 0 for w.
-1/3, 0, 3
Suppose 4*w + 4*k = -24, -3*w + 624 = -4*k + 600. Factor 256/7*v + 192/7*v**2 + w + 4/7*v**4 - 60/7*v**3.
4*v*(v - 8)**2*(v + 1)/7
Let 3*s**4 + 72*s**2 - 522 - 56*s**3 + 5*s**2 - 4*s**4 + 504*s - s**2 - s**4 = 0. Calculate s.
-29, -3, 1, 3
Let m(i) be the first derivative of -1/14*i**4 - 58/21*i**3 - 27 - 32*i**2 - 56*i. Determine o so that m(o) = 0.
-14, -1
Suppose -2*x + 3*x - 3*m = 21, 73 = 3*x + m. Factor 6*h**3 - 20*h**4 - 8*h - x*h**4 + 46*h**4.
2*h*(h - 1)*(h + 2)**2
Let m(n) be the second derivative of n**4/18 + 70*n**3 + 33075*n**2 + 85*n - 2. Determine z, given that m(z) = 0.
-315
Let o(u) be the second derivative of 1/15*u**5 - 40*u + 8/3*u**3 + 0*u**2 + 0 - 3/28*u**4 - 1/420*u**6. Let q(i) be the second derivative of o(i). Factor q(y).
-2*(y - 9)*(3*y - 1)/7
Factor 52 + 106*c + 1/2*c**4 + 69*c**2 + 31/2*c**3.
(c + 1)*(c + 2)**2*(c + 26)/2
Let s(h) = -2*h + 63. Let o be s(22). Suppose -o*t + 2*f = -15*t - 18, 0 = -3*f - 9. Factor -4/3*n**5 + 0*n**2 + 0 + 8/3*n**t + 0*n**4 - 4/3*n.
-4*n*(n - 1)**2*(n + 1)**2/3
Let i(j) = 115*j**3 + 1735*j**2 + 31645*j + 18405. Let s(x) = 3*x**3 - x**2 - x + 1. Let u(r) = i(r) - 30*s(r). Find w, given that u(w) = 0.
-35, -3/5
Let h(i) = -i**3 + 36*i**2 - 29*i + 50. Let y be h(28). Let -19373*j**2 + y*j**2 - 382*j**3 - 3*j**4 - 26532*j - 20*j**3 - 13068 = 0. Calculate j.
-66, -1
Let y = -19304 - -19304. Let u(c) be the first derivative of 4/15*c**3 + 26 + y*c + 2*c**2. Determine x so that u(x) = 0.
-5, 0
Let m be (-485)/(-204) - (-6)/(-8). Let f = m + -5/17. Find q such that -f*q - 2/9*q**2 - 2 = 0.
-3
Let m(x) be the first derivative of x**4/32 - 5*x**3/6 - 147*x**2/16 - 117*x/4 + 1202. Factor m(a).
(a - 26)*(a + 3)**2/8
Let j be (80/(-10) - (-5 + 0))/((-95)/342). Let 429/5*k**2 + 0 + j*k + 168*k**3 - 48/5*k**4 = 0. What is k?
-1/4, 0, 18
Let k(u) = 13*u**2 + 3. Let j be k(-2). Let s = j - 52. Factor -12 + 2*x**s + 24*x - 11 - 14*x**2 + 2*x**2 + 7.
2*(x - 2)**3
Solve 37*t**3 + 50*t - 11*t**4 - 45*t**2 - 28*t**5 + 19*t**5 + 10*t**5 - 32*t = 0.
0, 1, 3, 6
Let s = -131 + 134. Suppose s*j + 54 - 102 = 0. Find o, given that j*o**2 + 64*o 