 636/7. Let w be (-3)/12 + 3/3. Factor w*a + d*a**2 + 1/2.
(a + 1)*(a + 2)/4
Suppose 3659*n = 3643*n + 32. Suppose -19/7*y**n + 4/7*y**4 - 5/7*y**3 - y + 3/7 = 0. Calculate y.
-1, 1/4, 3
Let s = 59/80 + 1/80. Let r(u) be the second derivative of s*u**4 - 11*u + 0 - 6*u**3 + 24*u**2 - 3/80*u**5. Factor r(i).
-3*(i - 4)**3/4
Let i = -7 - 83. Let k = i + 92. Suppose -21/11*t**4 + 3/11*t - 1/11 + 6/11*t**k - 10/11*t**3 - 9/11*t**5 = 0. Calculate t.
-1, 1/3
Let m = -23310 + 75328/3. Let a = m - 1778. Let a + 1/3*p**2 + 16/3*p = 0. What is p?
-8
Let y(j) = -2*j - 79. Let z be y(-42). Let i(x) = 5*x**2 - 20*x - 10. Let r(l) = -l**3 - 4*l**2 + 19*l + 10. Let c(v) = z*r(v) + 4*i(v). Factor c(s).
-5*(s - 2)*(s + 1)**2
Let x = -45 + 47. Suppose x*m + 5*k = -3*m + 845, -4*k = -2*m + 308. Factor 316*w - 12 - m*w - 164*w - 3*w**2.
-3*(w + 2)**2
Let w(q) be the second derivative of -q**7/21 - 2*q**6 - 13*q**5/5 + 46*q**4/3 + 49*q**3 + 58*q**2 - 203*q - 3. Factor w(m).
-2*(m - 2)*(m + 1)**3*(m + 29)
Find p such that 206/7*p**2 - 10/7*p**4 + 60/7*p + 0 + 136/7*p**3 = 0.
-1, -2/5, 0, 15
Let f be (-28)/238 - 1636/(-34). Let n be (-8)/f*(-6 + 3). Let 3*q - n + 7/2*q**2 = 0. What is q?
-1, 1/7
Suppose -108240*i - 544*i**3 + 659*i**2 - 108900 + 1084*i**3 - 541*i**3 = 0. Calculate i.
-1, 330
Let w(y) = -9*y**2 + 121*y + 979. Let q = 310 - 321. Let a(j) = 5*j**2 - 62*j - 490. Let r(o) = q*a(o) - 6*w(o). Factor r(g).
-(g + 22)**2
Let 83*h + 125/3 + 41*h**2 - 1/3*h**3 = 0. What is h?
-1, 125
Let r(h) be the first derivative of 5*h**6/6 + 68*h**5 + 6105*h**4/4 + 3630*h**3 + 498. Find m, given that r(m) = 0.
-33, -2, 0
Let s(q) = 24*q**3 - 40*q**2 - 126*q + 44. Let b(n) = -2*n**3 + n - 10. Let z(k) = 14*b(k) + s(k). Find t such that z(t) = 0.
-6, -2
Let w(f) = -f**3 + 12*f**2 + 13*f + 13. Let r be w(13). Let y = r - 11. Factor 6*l**4 - y*l**5 - l**4 - 2*l**3 - 6*l**4 + 3*l**5.
l**3*(l - 2)*(l + 1)
Let f be -216 + 203 + (-40)/(-75)*(-456)/(-16). Factor -6/5 + 12/5*w**2 + w**3 - f*w.
(w - 1)*(w + 3)*(5*w + 2)/5
Let -200*x + 5/2*x**2 - 2250 = 0. What is x?
-10, 90
Suppose -122*i + 2268 = -108*i. Let z = -162 + i. Let 3/7*v + z - 3/7*v**2 = 0. What is v?
0, 1
Factor 996*o**3 - 1247*o + 1995*o**2 + 2531*o - 1278*o.
3*o*(o + 2)*(332*o + 1)
Let r(q) = -8*q**2 + 4*q + 52. Let j(h) = -h**2 - h + 1. Let p(c) = 4*c**2 - 8*c - 51. Let i(w) = -3*j(w) + p(w). Let m(b) = 4*i(b) + 3*r(b). Factor m(o).
4*(o - 5)*(o + 3)
Let u(w) be the second derivative of -27*w**7/14 - 303*w**6/5 - 5451*w**5/20 - 449*w**4/2 + 490*w**3 - 228*w**2 + 241*w - 6. Find t, given that u(t) = 0.
-19, -2, 2/9, 1/3
Let b(k) = -k**3 + 11*k**2 - 17*k - 3. Let g be b(9). Let w be 17 + -6 + -2 - g. Solve 2/7*m**w + 0 + 0*m**2 - 2/7*m = 0.
-1, 0, 1
Let q(m) = -m**3 - 17*m**2 + 38*m + 362. Let k be q(-18). Let -2 - 15/2*f**k + 25/4*f**3 - 9*f = 0. What is f?
-2/5, 2
Suppose 177*i**2 - 3*i**5 - 6*i**2 - 300 - 21*i**4 + 42*i**2 + 15*i**3 - 120*i = 0. Calculate i.
-5, -1, 2
Suppose 38*i + 0 - 1/2*i**2 = 0. Calculate i.
0, 76
Let l(b) be the third derivative of b**7/840 + 7*b**6/120 + 79*b**5/120 + 59*b**4/24 + 35*b**3/8 - 147*b**2 - 12*b. Suppose l(p) = 0. Calculate p.
-21, -5, -1
Let t be (-12)/(-5)*8690/22594. What is s in t*s - 54/13 + 2/13*s**2 = 0?
-9, 3
Let v = 1338868 + -1338866. Factor 1/3*r**4 - 1/3*r**3 + 1/3*r - r**v + 2/3.
(r - 2)*(r - 1)*(r + 1)**2/3
Factor 5*w**4 - 6*w**4 - 16*w**3 - 405*w**2 + 318*w**2 - 180*w - 108.
-(w + 1)*(w + 3)*(w + 6)**2
Let z(a) be the second derivative of -a**5/110 + 4*a**4/33 - 13*a**3/33 + 6*a**2/11 - 2278*a. Factor z(n).
-2*(n - 6)*(n - 1)**2/11
Let v = -23 + 33. Let i(d) = -13*d**3 + v*d**2 + 7 - 2 + 2*d + d**3. Let z(k) = 12*k**3 - 9*k**2 - 3*k - 6. Let f(x) = 6*i(x) + 5*z(x). Factor f(s).
-3*s*(s - 1)*(4*s - 1)
Let g(s) be the third derivative of -s**6/60 - 3*s**5 + 277*s**4/12 - 62*s**3 - 50*s**2 - 5. Factor g(y).
-2*(y - 2)*(y - 1)*(y + 93)
Let r = -147 - -152. Let q(i) = -7*i**2 - 3*i + 2. Let d(g) = 2*g**2 + g - 1. Let j(u) = r*q(u) + 20*d(u). Factor j(x).
5*(x - 1)*(x + 2)
Let q = -1662017 + 1662019. Solve -16/9*x + 2/9*x**q + 0 = 0.
0, 8
Let w = 737381 - 737379. Factor 0 + 13/3*a - 1/3*a**w.
-a*(a - 13)/3
Let n(x) be the second derivative of -1/21*x**7 - 2/3*x**3 - 7/6*x**4 - 1/3*x**6 + 0*x**2 + 0 - 65*x - 9/10*x**5. What is o in n(o) = 0?
-2, -1, 0
Let d be -24 + 1071/(-42) + 50. What is m in 0 + d*m**2 - 15/4*m + 1/4*m**3 = 0?
-5, 0, 3
Let c(b) be the third derivative of 17/24*b**6 + 45/8*b**4 + 0*b + 1/14*b**7 + 20/3*b**3 + 11/4*b**5 + 1 + 30*b**2. Suppose c(d) = 0. Calculate d.
-8/3, -1
Suppose m - 2530 = -2431. Let i be 1 + 0/1 - m/297. Factor 2/3*p**2 + 2 + i*p**3 - 10/3*p.
2*(p - 1)**2*(p + 3)/3
Suppose -43*g = -435540 + 435368. Factor -1/2*v**2 + 1/3 + 1/6*v**3 + 1/6*v**g - 1/6*v.
(v - 1)**2*(v + 1)*(v + 2)/6
Let q = 70523/3984 - 489/1328. Find r, given that -10/3 - 68/3*r**2 + q*r**3 + 14*r - 6*r**4 + 2/3*r**5 = 0.
1, 5
Let s(n) be the second derivative of -n**7/168 + 17*n**6/120 - 37*n**5/80 - 73*n**4/48 + 19*n**3/12 + 7*n**2 + 3541*n. Let s(c) = 0. Calculate c.
-1, 1, 4, 14
Let v be (-54)/(-80 - 136)*(8 - 0). Find i, given that -2/7*i**v + 48/7 - 10/7*i = 0.
-8, 3
Let c = 410/291 + -22/291. Let r(h) be the second derivative of 0*h**2 + 0 + c*h**3 - h**4 - 23*h + 1/5*h**5. Factor r(b).
4*b*(b - 2)*(b - 1)
Let a(j) be the second derivative of 106*j - 5/2*j**4 + 0*j**2 + 0 + 1/4*j**5 - 35/6*j**3. Factor a(d).
5*d*(d - 7)*(d + 1)
What is a in -2/3*a**2 - 3395618/3 - 5212/3*a = 0?
-1303
Let c = 12368/3 - 12364/3. Solve -1/3*j**4 + 1/3*j**3 + 0 + c*j**2 - 4/3*j = 0 for j.
-2, 0, 1, 2
Determine j so that -43*j + 33 - 77/9*j**3 - 125/3*j**2 - 2/9*j**4 = 0.
-33, -3, 1/2
Let y(i) be the first derivative of 1/60*i**6 + 21 - 1/40*i**5 + 0*i**2 + 1/12*i**3 - 1/24*i**4 + 32*i. Let l(c) be the first derivative of y(c). Factor l(p).
p*(p - 1)**2*(p + 1)/2
Let s = -45 - -50. Suppose 3*i + z - 1 = 0, z - s = -5*i - 0*i. Factor 12 + 10*m**3 - 2*m**4 + 7*m**4 + 5*m**i - 12.
5*m**2*(m + 1)**2
Suppose 1404/7*l - 4/7*l**3 + 696/7*l**2 + 704/7 = 0. Calculate l.
-1, 176
Let g(y) be the second derivative of y**4/3 + 48*y**3 - 450*y**2 + 1017*y + 1. Find k such that g(k) = 0.
-75, 3
Let s(f) be the third derivative of -f**7/630 + f**6/18 - 7*f**4/4 - f**2 - 30*f. Let k(d) be the second derivative of s(d). Factor k(b).
-4*b*(b - 10)
Let o be ((-4)/(-14))/((-13)/((-2457)/18)). Let n(l) be the third derivative of -5/48*l**4 + 1/48*l**6 + 0*l**o + 0*l**5 - 13*l**2 + 0*l + 0. Factor n(k).
5*k*(k - 1)*(k + 1)/2
What is r in -28/9*r**3 + 8/3*r**2 + 22/9*r + 2/3*r**5 - 20/9 - 4/9*r**4 = 0?
-2, -1, 1, 5/3
Suppose 4*o = -5*m + 30, 0 = m - 257 + 255. Let c be ((650/(-30))/(-13))/o. Suppose -c - j**2 - j - 1/3*j**3 = 0. What is j?
-1
Let d be (-4542)/(-468) - 7*27/4914. Solve 10*g - 1/3 - d*g**2 = 0.
1/29, 1
Let m(n) = 9*n**2 + 19*n. Let j be m(-4). Solve -26*d - 31*d**3 + 5*d**4 - 14*d**2 - 3*d**4 + j*d**3 - 35*d**3 - 12 = 0.
-2, -1, 3
Let z = 34 - 65. Let i = z + 41. Determine m so that -i*m**2 - 4*m**5 - m**5 - 21*m**4 + m**4 - 16*m**3 - 9*m**3 = 0.
-2, -1, 0
Let h = -365 + 404. Solve 4*s**3 - 8 - 19*s**2 - h*s + 4*s**2 - s**3 - 13 = 0.
-1, 7
Let i(u) be the first derivative of -u**7/1470 - u**6/420 + u**2 + 7*u + 8. Let p(d) be the second derivative of i(d). Find h, given that p(h) = 0.
-2, 0
Let p(s) be the third derivative of 25*s**2 - 3/140*s**7 - 1/60*s**5 + 0*s**3 + 0*s**4 - s - 3/80*s**6 + 0. What is n in p(n) = 0?
-2/3, -1/3, 0
Let z(q) be the third derivative of q**8/7560 - q**7/1890 + q**6/1620 + 19*q**3/3 - q**2 + 25*q. Let c(h) be the first derivative of z(h). Solve c(m) = 0.
0, 1
Let k(n) = 20 - 11*n + 16 - 11*n**2 - 48. Let s(a) = 8*a**2 + 10*a + 11. Let b(x) = -3*k(x) - 4*s(x). Factor b(l).
(l - 8)*(l + 1)
Let o = -100 - -151. Suppose -7*d + o = 10*d. Factor 14*i**3 + 366 - 366 + 4*i**4 + 8*i**2 + i**5 - d*i**5.
-2*i**2*(i - 4)*(i + 1)**2
Let r(t) = -t**2 + 6*t + 4. Let o(s) = -1306 + s**2 + 1295 - 17*s - 2*s**2 + 4*s**2. Let i = 10 - 6. Let d(p) = i*o(p) + 11*r(p). Factor d(n).
n*(n - 2)
Let -35*z + 75/4*z**3 - 15*z**2 + 0 - 5/4*z**4 = 0. What is z?
-1, 0, 2, 14
Let s(f) be the third derivative of f**8/4032 + 3*f**7/112 - 5*f**5/12 - 129*f**2 - 2*f. Let o(v) be the third der