tive of -s**6/50 + 87*s**5/100 - 193*s**4/20 - 57*s**3/2 + 135*s**2 + 10*s + 15. Determine l so that q(l) = 0.
-2, 1, 15
Let m be (-227)/(-12) - (210/(-24) + 9). Let d = m + -166/9. Factor -2 - d*p**2 - 4/3*p.
-2*(p + 3)**2/9
Let h(y) be the second derivative of -y**5/45 + 5*y**4/18 + 26*y**3/27 + y**2 - 5*y - 14. Find f, given that h(f) = 0.
-1, -1/2, 9
Suppose -30*w = -33*w - 18. Let y be (-4)/w*90/15. Factor 9 - 15*a**2 - 4 + 9*a**3 - 3*a**3 + y*a**3.
5*(a - 1)**2*(2*a + 1)
Suppose -2*q + 35 = 5*k - 5*q, -q - 5 = -k. Suppose 0 = -a - m - 1, -k = -2*a + 2*m. Solve 0 - 6*r**2 + 6*r**4 - 6*r**3 + 6 + 3*r**5 + a*r + r - 6*r**2 = 0.
-2, -1, 1
Let h = -45 + 45. Suppose -5*t + 4*j + 4 - 14 = h, -2*t = -4*j + 16. What is x in 2 - 5*x**2 - t + 0 - 10*x = 0?
-2, 0
Let q(j) be the third derivative of -j**5/15 + 265*j**4/3 + 354*j**3 - 4449*j**2. Factor q(x).
-4*(x - 531)*(x + 1)
Solve 0*g - 663/4*g**3 + 0 + 45/4*g**4 - 1/4*g**5 + 3211/4*g**2 = 0.
0, 13, 19
Let y(c) = c**3 + 7*c**2 + 20*c + 165. Let s be y(-7). Factor 5/4*q**2 + s*q + 95/4.
5*(q + 1)*(q + 19)/4
Suppose 0 = 39*o - o + 228. Let g be (-9)/o*15/(-18)*-1. Solve 0 - 3/2*m - 1/4*m**3 + g*m**2 = 0 for m.
0, 2, 3
Suppose -8*g**4 - 588/5 - 288/5*g**3 - 908/5*g**2 - 2/5*g**5 - 1246/5*g = 0. What is g?
-7, -3, -2, -1
Factor 828/5*n**2 - 1608/5*n + 3/5*n**4 - 30*n**3 + 1056/5.
3*(n - 44)*(n - 2)**3/5
Suppose -2*r - 5*l + 56671 = 0, 5*r = 4*r - l + 28337. Factor -5*v**4 + r*v**2 - 54*v**3 + 9*v**3 - 28408*v**2.
-5*v**2*(v + 2)*(v + 7)
Factor -2/5*q**3 - 6/5*q + 8/5*q**2 + 0.
-2*q*(q - 3)*(q - 1)/5
Let q(b) be the third derivative of 3*b**7/245 - 4*b**6/105 - 4*b**5/21 + 16*b**4/21 + 16*b**3/21 - 961*b**2 + 6*b - 1. Determine m so that q(m) = 0.
-2, -2/9, 2
Let g(h) be the first derivative of 5*h**4/4 + 145*h**3/3 + 400*h**2 + 660*h + 994. Factor g(u).
5*(u + 1)*(u + 6)*(u + 22)
Factor 7/8*p**2 - 7 + 47/4*p.
(p + 14)*(7*p - 4)/8
Let x(y) be the first derivative of 3*y**4/4 - 56*y**3 - 525*y**2/2 - 354*y + 883. Factor x(m).
3*(m - 59)*(m + 1)*(m + 2)
Let v be (-4)/((-15)/(-180) + 295/60 + -7). Let 3/2*k**3 - 1/2*k**4 + 0*k - k**v + 0 = 0. Calculate k.
0, 1, 2
Let b(f) be the second derivative of -f**5/4 - 725*f**4/12 + 5*f**3/6 + 725*f**2/2 - 387*f. Factor b(z).
-5*(z - 1)*(z + 1)*(z + 145)
Let k = -63203 + 189611/3. What is m in 1/6*m**2 + k*m + 1/2 = 0?
-3, -1
Suppose 67 = 9*f + 13. Factor 24*x + 22*x**2 - 2*x**4 + 8 - f*x**5 + 17*x**5 - 7*x**5 - 4*x**4 - 6*x**5 + 2*x**3.
-2*(x - 2)*(x + 1)**3*(x + 2)
Let u = 144 + -149. Let y be 0/2 + u*(-4)/150. Factor -4/15 + 0*q**2 - 2/5*q + y*q**3.
2*(q - 2)*(q + 1)**2/15
Suppose 0 = 23*k - 16*k. Suppose y + 0*y + 5 = -4*p, p + 5*y + 25 = k. Find f such that 1/5*f**2 + p + 1/5*f = 0.
-1, 0
Let v(q) be the first derivative of 9*q**5/40 + 57*q**4/32 - 203*q**3/24 + 115*q**2/16 - 9*q/4 + 942. Let v(p) = 0. Calculate p.
-9, 1/3, 2
Let r(b) = b**2 - 4*b - 1. Let o(s) = -19*s**2 - 510*s - 127. Let q(z) = 2*o(z) + 22*r(z). Factor q(a).
-4*(a + 69)*(4*a + 1)
Let x(y) be the first derivative of -y**5/10 - 19*y**4/2 - 569*y**3/2 - 2431*y**2 - 4046*y - 954. Find w such that x(w) = 0.
-34, -7, -1
Factor 116*g**2 + 411*g - 8*g**3 - 336 + 405*g + 177*g - 1205*g.
-4*(g - 12)*(g + 1)*(2*g - 7)
Solve 8*i**2 - 22*i - 28 - 17*i + 19*i + 4*i**3 - 24*i - 20 = 0.
-4, -1, 3
Suppose -18 = -3*j + 2*f, -4*j + 24 = 29*f - 28*f. Let l be ((-5)/j)/((-770)/693). Factor 0*k + 3/4*k**3 + 0 + l*k**2 - 3/2*k**4.
-3*k**2*(k - 1)*(2*k + 1)/4
Suppose 4 = 4*s, -3 = -y - 1547*s + 1546*s. Let 4/3*p**2 + y + 13/3*p + 1/3*p**5 - 2/3*p**4 - 2*p**3 = 0. What is p?
-1, 2, 3
Let 53 - b**3 + 102 + 36*b**2 + 60*b - 62*b - 51*b**2 + 13 = 0. What is b?
-14, -4, 3
Let i = -19/8 - -89/24. Solve -2 - i*g + 2/3*g**2 = 0 for g.
-1, 3
Let y = 1028/511 - -20/73. Let k(j) be the first derivative of 40/7*j**2 + 4/7*j**3 - 10*j**4 - 28/5*j**5 - y*j + 6. Determine z, given that k(z) = 0.
-1, 2/7
Let a(k) be the second derivative of k**5/4 + 80*k**4/3 + 105*k**3/2 + 296*k - 2. Factor a(p).
5*p*(p + 1)*(p + 63)
Let o(i) = 9*i**3 - 110*i**2 + 171*i - 1760. Let v be o(12). Let -2/3*l**v + 0 - 8*l**2 + 16/3*l**3 + 0*l = 0. Calculate l.
0, 2, 6
Let s(o) = -o**2 + o - 4. Let t(d) = d**2 - d + 2. Suppose 3*n - 8*n = r + 26, -20 = 5*n - 5*r. Let p(z) = n*s(z) - 10*t(z). Factor p(y).
-5*y*(y - 1)
Let k(n) be the second derivative of n + 1/30*n**5 + 1/3*n**4 - 28 + 5/9*n**3 + 0*n**2. Let k(h) = 0. What is h?
-5, -1, 0
Factor 63/5 + 66/5*q + 3/5*q**2.
3*(q + 1)*(q + 21)/5
Solve 122/3*s + 44 - 4*s**2 - 2/3*s**3 = 0.
-11, -1, 6
Let w be (-15)/(-4) + (-3)/4. Suppose 2*l = -b - 3, w = -4*b - 2*l + 9. Factor -7*u**3 + b*u - 3*u**2 + 10*u**3 + 9*u**2.
3*u*(u + 1)**2
Let y(u) be the third derivative of -1/630*u**7 + 0*u + 1/60*u**5 + 1/2016*u**8 + 0*u**3 - 1/144*u**6 + 0*u**4 - 142*u**2 + 0. Factor y(h).
h**2*(h - 3)*(h - 1)*(h + 2)/6
Let n(a) be the first derivative of 4*a**6/15 - 2*a**5 - 3*a**4 + 26*a**3/3 - 14*a**2/5 + 1519. Suppose n(l) = 0. What is l?
-2, 0, 1/4, 1, 7
What is k in -1/8*k**4 - 637/8*k**2 + 1617/8*k + 3087/4 + 47/8*k**3 = 0?
-2, 7, 21
Suppose -192*c = -187*c. Suppose -12 = 3*b + 4*r, -b + c = r + 3. Suppose 0 + 1/3*k**3 + b*k**2 - 4/3*k = 0. Calculate k.
-2, 0, 2
Let w(r) be the third derivative of r**7/70 + 3*r**6/40 - 4*r**5/5 + 3*r**4/2 + 2*r**2 - 1136. What is l in w(l) = 0?
-6, 0, 1, 2
Let k(a) = -7603*a - 159663. Let p be k(-21). Factor p - 2/11*h**3 + 26/11*h**2 - 24/11*h.
-2*h*(h - 12)*(h - 1)/11
Factor 3/5*k**3 - 168/5 + 18/5*k + 27/5*k**2.
3*(k - 2)*(k + 4)*(k + 7)/5
Let q = 130 + -154. Let u be q/(-14) - (-1 - 5/(-7)). Factor 2/7*n**u + 4/7*n - 16/7.
2*(n - 2)*(n + 4)/7
Let i(g) be the first derivative of -g**3/3 - g**2/2 + g + 2. Let a(x) = -20*x + x + 8*x + 14*x - 2. Let h(q) = -4*a(q) - 4*i(q). What is k in h(k) = 0?
1
Let s(x) be the second derivative of x**4/18 - 436*x**3/3 + 142572*x**2 - 7*x + 683. Factor s(t).
2*(t - 654)**2/3
Let g(x) = 9*x**2 - 26*x + 2. Let s(d) = d**2 + d - 14. Let b be s(0). Let h(l) = -25*l**2 + 77*l - 5. Let j(i) = b*g(i) - 4*h(i). Let j(r) = 0. What is r?
2/13, 2
Suppose -149 - 156 = -5*d. Suppose -5*o - d = -296. Factor 4 - 15*j**2 + 7*j + o*j**2 - 43*j.
4*(j - 1)*(8*j - 1)
Let k(d) be the third derivative of -d**8/10080 - d**7/5040 + d**6/432 - d**5/240 + 49*d**3/3 + 89*d**2. Let y(a) be the first derivative of k(a). Factor y(n).
-n*(n - 1)**2*(n + 3)/6
Let q = -1500 - -1502. Let c(o) be the first derivative of -119/5*o**5 - 17 - 16/3*o**3 + 0*o + 98/9*o**6 + 2/3*o**q + 205/12*o**4. Let c(t) = 0. What is t?
0, 1/4, 2/7, 1
Let m = 226 - 222. Let a be 7 - 1/m*20. Suppose 0 - 2/7*g**a - 2/7*g = 0. What is g?
-1, 0
Let j(b) = 2*b**2 - 8. Let g be j(3). Solve g*p**2 - 2*p**4 - 743*p + 743*p - 3*p**4 - 5*p**3 = 0 for p.
-2, 0, 1
Find v such that -99/4 + 13/4*v**4 - 207/4*v + 7/2*v**3 + 1/4*v**5 - 53/2*v**2 = 0.
-11, -3, -1, 3
Let b(t) be the second derivative of t**5/330 - t**4/66 - t**3/11 - 5*t**2/2 + 2*t - 6. Let l(y) be the first derivative of b(y). Suppose l(i) = 0. What is i?
-1, 3
Let n(q) be the first derivative of 0*q + 6*q**3 + 0*q**2 + 10 + 1/8*q**5 + 3/8*q**4 - 1/60*q**6. Let i(z) be the third derivative of n(z). Factor i(k).
-3*(k - 3)*(2*k + 1)
Let t be ((-10)/75 + (-118)/(-1560))*72. Let g = t + 309/65. Factor 3/5*j + 0 + g*j**2.
3*j*(j + 1)/5
Let p be (24/(-243)*-78 + -8)/(-2). Let x(i) be the first derivative of -6 - p*i**3 + 0*i - 1/18*i**4 - 1/9*i**2. Factor x(d).
-2*d*(d + 1)**2/9
Let l(k) = -8*k**3 + 10401*k**2 - 35914800*k + 41421736007. Let o(t) = t**3 - 3*t**2 - 1. Let w(x) = -5*l(x) - 35*o(x). Factor w(n).
5*(n - 3460)**3
Let c(i) be the first derivative of i**8/112 + i**7/14 + i**6/20 - 2*i**5/5 - 261*i**2/2 + 108. Let u(f) be the second derivative of c(f). Factor u(o).
3*o**2*(o - 1)*(o + 2)*(o + 4)
Suppose q - 29*y - 9 = -26*y, 0 = 7*q + 3*y - 39. Let p(u) be the first derivative of -u**5 + 5/4*u**4 - 9 + 0*u + 5/3*u**3 - 5/6*u**q + 0*u**2. Factor p(z).
-5*z**2*(z - 1)*(z + 1)**2
Factor -144/7 - 24/7*u**2 - 3/7*u**3 + 132/7*u.
-3*(u - 2)**2*(u + 12)/7
Determine r, given that -752 - 29579*r**2 + 1325*r**3 + 12*r**5 - 3568 + 32549*r**2 + 180*r**4 - 7*r**5 - 160*r = 0.
-27, -4, -2, 1
Factor -3/2*g**2 - 7803/4*g + 3903/4.
-3*(g + 1301)*(2*g - 1)/4
Let