*(o + 3)
Let w(j) = 4*j**2 + 160*j - 162. Let m be w(1). Factor -2/15*k**m - 8/5 + 16/15*k.
-2*(k - 6)*(k - 2)/15
Let o = -1154/385 + 662/77. Factor 52/5*c + 4*c**2 + o - 4/5*c**3.
-4*(c - 7)*(c + 1)**2/5
Suppose -19*r - 2*h = -14*r - 15, -5*r + 4*h = -45. Let a(t) be the second derivative of 0 + 1/10*t**r - 5*t + 8/3*t**3 - 4*t**2 - 5/6*t**4. Factor a(q).
2*(q - 2)**2*(q - 1)
Let h(b) be the third derivative of 1/60*b**5 - 1/6*b**4 + 0*b + 0 + 2/3*b**3 + 14*b**2. Factor h(z).
(z - 2)**2
Let z(g) = -g**3 - 3*g**2 + 12*g + 19. Let l be z(-6). Let -45*p**3 - 69*p + 17*p + 22*p + l*p**2 + 20*p = 0. Calculate p.
0, 2/9, 1
Let t(i) = -6*i - 6*i**2 - 1 - i**2 - 4*i**2. Let d(m) = -56*m**2 - 30*m - 5. Let g be 4/3*15/10. Let u(q) = g*d(q) - 11*t(q). Suppose u(f) = 0. Calculate f.
-1/3
Determine s so that -480*s - 1303*s - 27040 - 2715*s - 212*s**2 - 2*s**3 = 0.
-80, -13
Factor -51198*q**3 + 51291*q**3 + 54*q**2 - 38*q**4 + 2*q**5 + 9*q**4.
q**2*(q - 9)*(q - 6)*(2*q + 1)
Suppose -3*y = -4*k - 11, -2*y + 0 = -2*k - 6. Let b be (y + -2)/(11/(-110)). Let 1 + 9*o + 3*o**2 - b - 3 = 0. What is o?
-4, 1
Factor 0*s**3 + 3*s**3 - 1641*s**2 + 1668*s**2 - 6*s**4 + 14*s**3 + 4*s.
-s*(s - 4)*(s + 1)*(6*s + 1)
Let a = 103996 - 103994. What is q in -71/3*q - 20/3 - 7/6*q**a = 0?
-20, -2/7
Suppose 3 = u + 2*i, 3*u - 5*i - 53 = -22. Factor q**2 + 1 - 4*q + u*q + 0*q - q.
(q + 1)**2
Solve -2378*p**2 - 123*p + 123*p - 407*p**2 - 25*p**3 = 0.
-557/5, 0
Factor 474*o - 19810 + 349953 + 1446*o + 130657 + 2*o**2.
2*(o + 480)**2
Let l(j) be the second derivative of 3*j**5/100 - 77*j**4/60 - 14*j**3/15 + 26*j**2/5 + 649*j. Factor l(w).
(w - 26)*(w + 1)*(3*w - 2)/5
Let w be (-56)/21 + (-18)/(-27). Let j be 2 - w/(-9)*9. Factor 3*o**2 - 3*o + j - 3/4*o**3.
-3*o*(o - 2)**2/4
Suppose 5*v**4 - 174*v**2 - 200*v**3 - 210*v - 180*v**2 - 61*v**2 = 0. Calculate v.
-1, 0, 42
Let o = -148121/8 - -74061/4. Factor 21*k + o*k**3 - 49/2 + 27/8*k**2.
(k - 1)*(k + 14)**2/8
Let n be 10/4 + (-500)/(-200). Let z be (9 - n)*3/6. Factor 2/3*s**z + 4*s + 16/3.
2*(s + 2)*(s + 4)/3
Let i be (-3960)/(-224) + -1 + (3611/(-3036) - 8/132). Factor 0 - 104/7*f**2 + 34/7*f + i*f**3 - 40/7*f**4 + 2/7*f**5.
2*f*(f - 17)*(f - 1)**3/7
Let j(n) be the second derivative of -n**4/32 - 305*n**3/4 - 279075*n**2/4 - 4*n - 288. Solve j(r) = 0 for r.
-610
Let i(m) be the third derivative of m**2 - 1/1680*m**7 - 48*m + 0 + 1/32*m**4 + 1/160*m**6 - 11/480*m**5 + 0*m**3. Factor i(z).
-z*(z - 3)*(z - 2)*(z - 1)/8
Let i = 1397469 - 104807536/75. Let o = -63/25 + i. Solve -2/9*p**3 - 14/3*p**2 - o*p - 686/9 = 0.
-7
Find p, given that -169*p + 20*p + 292 + 460 - 164*p - 59*p - 2*p**2 = 0.
-188, 2
Let v(f) be the first derivative of -2*f**3/27 - 2608*f**2/3 - 3400832*f - 8723. Factor v(m).
-2*(m + 3912)**2/9
Find a such that 3/5*a**5 + 0*a + 12/5*a**4 + 12/5*a**3 + 0*a**2 + 0 = 0.
-2, 0
Suppose 3*v + 214*k + 64 = 219*k, v = -2*k + 30. Factor -d - 5/11 - 7/11*d**v - 1/11*d**3.
-(d + 1)**2*(d + 5)/11
Let p(h) = 3*h**2 + 22*h + 21. Let z(g) = -10*g**2 - 67*g - 64. Let k be ((-4)/(-3))/((-86)/(-129)). Let c(d) = k*z(d) + 7*p(d). Solve c(q) = 0 for q.
-19, -1
Suppose -615 - 14 = -17*g. What is l in -8 + 7*l + 16*l**2 + 22*l**2 - g*l**2 = 0?
-8, 1
Let h(q) be the second derivative of q**5/110 - q**4/6 - 56*q**3/33 - 60*q**2/11 + 1294*q. Determine n so that h(n) = 0.
-2, 15
Factor 3*v - v**2 - 9198*v**3 + 9199*v**3 + 0*v + v**4 - 4*v.
v*(v - 1)*(v + 1)**2
Let h(l) = -l**3 + l**2 + 2*l + 77. Let k be h(0). Solve -4*i**2 - 209 + 57 - 44*i + 82 + 41 + k = 0.
-12, 1
Let c(b) be the second derivative of 0*b**3 - 1/360*b**5 - 33*b - b**2 + 1/72*b**4 + 0. Let j(g) be the first derivative of c(g). Factor j(i).
-i*(i - 2)/6
Let h(y) = 12*y - 16. Let i(m) = 24*m - 32. Let f(j) = -5*h(j) + 2*i(j). Let p be f(-4). Factor -127*a**2 + 341 + 132*a**2 + 90*a + p.
5*(a + 9)**2
Solve -88*y + 2/5*y**3 + 34/5*y**2 - 200 = 0 for y.
-25, -2, 10
Solve 5*q**3 - 505*q + 225*q**2 - 504*q + 1009*q - 2*q**3 = 0 for q.
-75, 0
Let -514*r + 84*r**3 - 1755 + 94*r**5 + 52*r**4 - 90*r**5 - 886*r + 6459 - 884*r**2 = 0. Calculate r.
-7, -4, 2, 3
Let g = 782043 + -781926. Suppose g*c - 4563/2 - 3/2*c**2 = 0. What is c?
39
Let i = -4003/882 + 85/18. Let n = 47/49 + i. Factor 4/7*m**3 - 4/7*m - 8/7*m**2 + n.
4*(m - 2)*(m - 1)*(m + 1)/7
Let u = 269 - 265. Solve 247*p + 180 + 141*p**2 - 50*p**3 + 5*p**u + 53*p + 47*p**2 - 123*p**2 = 0.
-1, 6
Let i(k) be the first derivative of -3*k**5/25 - 21*k**4/20 + 39*k**3/5 - 159*k**2/10 + 66*k/5 - 6146. Find l, given that i(l) = 0.
-11, 1, 2
Let t(q) = -6*q**2 + 96*q + 96. Suppose -4*s = -28 + 12. Let w(g) = -7*g**2 + 97*g + 96. Let r(k) = s*t(k) - 3*w(k). Let r(p) = 0. Calculate p.
-1, 32
Let t(h) = -9*h**3 - 9*h**2 + 120*h - 176. Let u(j) = 19*j**3 + 19*j**2 - 240*j + 351. Let c(n) = 9*t(n) + 4*u(n). Solve c(p) = 0.
-6, 2, 3
Let y(d) = -92*d**3 - 148*d**2 - 917*d - 1683. Let m(r) = 1225*r**3 + 1925*r**2 + 11920*r + 21880. Let z(c) = 3*m(c) + 40*y(c). Find n such that z(n) = 0.
-21, -4
Let p(k) be the second derivative of -245*k**7/6 - 1519*k**6/2 - 2884*k**5 - 1070*k**4 + 2360*k**3/3 + 600*k**2 + 6546*k. Let p(i) = 0. Calculate i.
-10, -3, -2/7, 2/7
Let j = -10640 + 10660. Let u(a) be the first derivative of 0*a - 4/3*a**3 + 2*a**2 + j. Determine l so that u(l) = 0.
0, 1
Let r = -9492/31 + 29654/93. Solve -8/3*x + 0 - r*x**2 = 0 for x.
-4/19, 0
Suppose 0 = -120*a + 34*a + 688. Suppose -13*f + 4*c = -a*f + 10, 2*f - 4*c + 16 = 0. Factor 1/2*b**3 - 1/2*b**4 - 2*b + 2*b**f + 0.
-b*(b - 2)*(b - 1)*(b + 2)/2
Let h be ((-4)/5)/((-7)/35). Suppose -h*s + 16 = 4*r, 3*s - 4*r - 1 - 18 = 0. Determine m so that -5*m - 2*m**2 + s*m**2 + 2*m = 0.
0, 1
Let 407*w**2 + 223*w**2 + 42*w**4 - 1177*w**2 - 304*w + 299*w**2 - 64 + 124*w**3 = 0. What is w?
-4, -2/3, -2/7, 2
Let i = 667/22 + -306/11. Solve u + 1/10*u**2 + i = 0.
-5
Let n = 798304/77 - 113748/11. Factor 56 + 82*t + 2*t**3 - n*t**2.
2*(t - 7)**2*(7*t + 4)/7
Let c = 412 - 316. Let p = -94 + c. Suppose -3 - 1/3*w**p + 2*w = 0. What is w?
3
Suppose -5*p = -3*d + 11, 5*d - 47 = -12. Let t(v) be the first derivative of p*v**2 + 2*v + 2/3*v**3 + 24. Suppose t(c) = 0. What is c?
-1
Suppose 0 = 3*y - 15, -5*u = -5*y + 16 - 1. Let r(i) be the second derivative of 7/60*i**4 + 5*i + 1/100*i**5 + 0*i**u + 0*i**3 + 0. Factor r(o).
o**2*(o + 7)/5
Let j = 365162/3 + -121720. Find u, given that j*u**2 - 1/3*u - 1/3*u**3 + 0 = 0.
0, 1
Let t(d) = -338*d - 21291. Let w be t(-63). Factor -18/11*z**2 - 2/11*z**w + 0 + 20/11*z.
-2*z*(z - 1)*(z + 10)/11
Let v(m) be the second derivative of 0*m**3 + 18*m**2 + 1/480*m**6 + 0*m**4 - 1/40*m**5 + 0 - 9*m. Let w(y) be the first derivative of v(y). Factor w(p).
p**2*(p - 6)/4
Factor 64/7 - 72/7*l + 24/7*l**2 - 2/7*l**3.
-2*(l - 8)*(l - 2)**2/7
Let f = -173 + 175. Find u such that -125*u**3 + 2*u**4 + 110020 - 157464*u - 91*u**3 + 613349 + 8748*u**f + 339513 = 0.
27
Let d(q) = -2*q**4 + 8*q**2 - 10*q - 2. Let i(x) = -62*x - 9 - 59*x + 80*x + 30*x**2 - 7*x**4. Let l(r) = 9*d(r) - 2*i(r). Factor l(o).
-4*o*(o - 1)**2*(o + 2)
Suppose 0 = 5*x + 70, -16204*i = -16206*i + 3*x + 50. Let k be (4/30)/(24/40). Factor -10/9*c - 2/9*c**i + k*c**3 + 4/9 + 2/3*c**2.
-2*(c - 1)**3*(c + 2)/9
Let d(c) = -2*c**5 - c**3 - c**2. Let x(z) = -z**5 + 7*z**4 - 295*z**3 - 4803*z**2 - 26411*z - 50421. Let s(k) = d(k) - x(k). Factor s(p).
-(p - 21)*(p + 7)**4
Find u such that -3/5*u**2 - 381 - 1908/5*u = 0.
-635, -1
Let r = 6401/345 - -13/115. Let v be (-7)/(-21) - 16/(-6). Suppose -r*n**2 - 4/3 + 31/3*n - 16/3*n**v = 0. What is n?
-4, 1/4
Let i(r) be the third derivative of r**5/12 - 325*r**4/4 + 1945*r**3/6 + 4398*r**2. Factor i(m).
5*(m - 389)*(m - 1)
Let p = 19594 + -97969/5. What is x in 4 - 21/5*x + p*x**2 = 0?
1, 20
Suppose -1/4*i**3 + 861/4*i + 173 + 42*i**2 = 0. What is i?
-4, -1, 173
Let s(l) be the second derivative of -l**7/168 - l**6/240 + 7*l**5/80 + 19*l**4/96 + l**3/8 + 6*l. Suppose s(b) = 0. Calculate b.
-2, -1, -1/2, 0, 3
Factor 7*g**3 - 13*g - 3*g**3 - 4*g**4 - 18*g + 15*g - 32 + 24*g**2.
-4*(g - 2)**2*(g + 1)*(g + 2)
Let y = 77003/205336 - 1/102668. Suppose 15/8*p**3 + 21/8*p - 3/4 - 27/8*p**2 - y*p**4 = 0. What is p?
1, 2
Let p = 5 + -2. Let d be -7*6/(-105) + (-48)/(-30). F