 + 0*z**2 + 0*z + 0 + 11/3*z**3 - 1/3*z**5 = 0.
-11, 0, 1
Let x = -281554 - -281558. Factor 84/5*r**3 + 0*r**2 - 3/5*r**5 + 9/5*r**x + 0 + 0*r.
-3*r**3*(r - 7)*(r + 4)/5
Suppose -i - 7 = -5*s + 10, -s + 1 = 0. Let q(d) = 21*d + 254. Let a be q(i). Factor 4/7 + 2/7*v**a + 6/7*v.
2*(v + 1)*(v + 2)/7
Let u(g) = 9*g**2 - 2*g - 1. Let a(o) = 44*o**2 + 50*o + 119. Let y(k) = a(k) - 5*u(k). Factor y(f).
-(f - 62)*(f + 2)
Let y(i) be the third derivative of 0*i - 1/200*i**6 + 0*i**3 + 1/100*i**5 + 0 + 1/20*i**4 + 36*i**2. Factor y(f).
-3*f*(f - 2)*(f + 1)/5
Suppose -p + 4 + 0 = 0. Factor -1297*r + 6*r**2 - 6 + 1293*r - p*r**2.
2*(r - 3)*(r + 1)
Let w(z) be the first derivative of -z**6/6 + 3*z**5/2 - 5*z**4 + 20*z**3/3 - 130*z - 9. Let v(r) be the first derivative of w(r). Find u, given that v(u) = 0.
0, 2
Let o(m) = 11*m**3 + 200*m**2 + 2669*m + 11757. Let q(z) = -35*z**3 - 600*z**2 - 8010*z - 35270. Let p(f) = 10*o(f) + 3*q(f). Determine j so that p(j) = 0.
-14, -12
Suppose -394*t + 363*t = -62. Factor 3/7*b**5 + 0 - 24/7*b**t + 0*b + 6/7*b**4 - 12/7*b**3.
3*b**2*(b - 2)*(b + 2)**2/7
Let g(d) = -15*d**2 - 35*d - 66. Let u(j) = -12*j**2 - 36*j - 66. Suppose -11*x + 35 = -9. Let l(p) = x*u(p) - 3*g(p). Determine b so that l(b) = 0.
-11, -2
What is y in -90601/8 + 301/4*y - 1/8*y**2 = 0?
301
Let z be 96/(-64)*20/(-6). Factor 10*c**3 + z*c**2 - 5*c**3 + 7*c - 12*c - 5*c**4.
-5*c*(c - 1)**2*(c + 1)
Suppose -4 = -4*g, 9*g + 18 = -4*c + 11*g. Let n be c - ((-4 - (-2 + -4)) + -8). Let 6 - 1/3*b**5 + 5*b - n*b**3 - 16/3*b**2 + 2*b**4 = 0. Calculate b.
-1, 2, 3
Let m be 9 + -37 + 32 - (16/(-6))/(-1). Let r be -1 + 4/((-36)/(-15)). Factor 0 - 2/3*c**2 + 0*c - m*c**3 - r*c**4.
-2*c**2*(c + 1)**2/3
Let t(l) = 3*l**3 - 1140*l**2 + 105963*l + 558744. Let w(x) = -3*x**3 + 1139*x**2 - 105965*x - 558747. Let s(k) = 4*t(k) + 3*w(k). Determine u so that s(u) = 0.
-5, 193
Let g = 33 - 30. Let b(a) = -3*a**4 - 3*a**2 + 5*a - 5. Let r(p) = 2*p**4 + p**2 - 3*p + 3. Let n(d) = g*b(d) + 5*r(d). Factor n(j).
j**2*(j - 2)*(j + 2)
Let i(r) be the first derivative of r**7/84 - r**6/72 - r**5/4 - 14*r**3/3 - 3*r - 42. Let c(p) be the third derivative of i(p). Determine u so that c(u) = 0.
-3/2, 0, 2
Solve -1/2*q**4 - 29/2*q**2 + 39/2*q - 9 + 9/2*q**3 = 0 for q.
1, 2, 3
Let f be ((-8)/(-3))/4 + 77/33. Let d(m) be the first derivative of 2 + 16*m**2 + 6*m**4 - 16*m**f + 0*m - 4/5*m**5. Factor d(v).
-4*v*(v - 2)**3
Let p(n) be the first derivative of -2*n**2 + 13/12*n**4 - 14*n + 2/3*n**3 + 1/4*n**5 - 3. Let l(a) be the first derivative of p(a). Let l(r) = 0. Calculate r.
-2, -1, 2/5
Let g(q) be the third derivative of q**6/120 - q**5 + 50*q**4 + 26*q**3/3 - 11*q**2. Let b(f) be the first derivative of g(f). Factor b(y).
3*(y - 20)**2
Let g(y) = -y + 17. Let k be g(14). Let -k - 42 + 4*d**2 + 0*d + 21 + 4*d = 0. Calculate d.
-3, 2
Suppose q = 2*h + 6, 584*q - 585*q + h = -5. Find s such that 1/6 + 2/3*s**3 + s**2 + 1/6*s**q + 2/3*s = 0.
-1
Let g(l) be the first derivative of 5/4*l**4 - 2*l - 81 + 13/2*l**2 - 16/3*l**3. Suppose g(h) = 0. Calculate h.
1/5, 1, 2
Let c(j) be the second derivative of -1617*j**5/5 - 35*j**4/3 + 104*j**3 - 8*j**2 + 2881*j. Solve c(t) = 0.
-1/3, 2/77, 2/7
Suppose 7*q + 6*q = 65. Let h(y) be the first derivative of 9/35*y**q + 1 + 0*y**4 + 1/14*y**6 + 0*y + 0*y**2 - 4/7*y**3. Find b such that h(b) = 0.
-2, 0, 1
Factor 4709/4*m**2 + 51/4*m**4 - 1/4*m**5 + 867*m - 4913 - 863/4*m**3.
-(m - 17)**3*(m - 2)*(m + 2)/4
Let u(w) be the first derivative of -17*w**3/15 + 28*w**2/5 - 44*w/5 - 472. Factor u(t).
-(t - 2)*(17*t - 22)/5
Let q(t) = 25*t - 5. Let l be q(5). Suppose 14*k - 6*k = l. Determine i so that -15 + k*i**5 + 6*i**4 - 6*i**2 + 15 - 15*i**3 = 0.
-1, -2/5, 0, 1
Let i(h) be the second derivative of -h**6/6 + 3*h**5 - 185*h**4/12 + 35*h**3 - 40*h**2 + 590*h. Factor i(r).
-5*(r - 8)*(r - 2)*(r - 1)**2
Let x(h) be the third derivative of -1/30*h**6 + 1/105*h**7 + 0*h + 0 - 5/3*h**3 - 55*h**2 - 7/6*h**4 - 2/5*h**5. Solve x(u) = 0 for u.
-1, 5
Determine w, given that -7490 - 4853*w - 5*w**3 + 864066*w**2 - 871566*w**2 - 10132*w = 0.
-1498, -1
Suppose 0*r + 0 - 3/2*r**5 + 5013/2*r**4 - 2792241/2*r**3 + 518426079/2*r**2 = 0. What is r?
0, 557
Let f = -120 - -123. Let u be (-50)/(-6) + (-1)/3. Let 2*o**3 + 19*o**f + 28*o**3 + o**3 - u*o = 0. What is o?
-2/5, 0, 2/5
Solve 2/5*c**3 - 3522/5*c**2 + 1552322/5 + 1548798/5*c = 0 for c.
-1, 881
Let l(c) be the third derivative of c**8/560 - 11*c**7/350 - 13*c**6/200 + 11*c**5/100 + 3*c**4/10 - 277*c**2. Let l(u) = 0. Calculate u.
-1, 0, 1, 12
Let k(b) = -4*b**3 - 2*b**2 + b**2 + 3*b**3. Let w(j) = 6*j**3 - 2*j**2 - 4*j + 4. Suppose -273*m + 275*m - 2 = 0. Let x(n) = m*w(n) + 2*k(n). Factor x(g).
4*(g - 1)**2*(g + 1)
Let q(n) be the first derivative of 1/140*n**5 + 28 + 0*n - 3/28*n**4 + 13/2*n**2 - 1/2*n**3. Let h(g) be the second derivative of q(g). Factor h(s).
3*(s - 7)*(s + 1)/7
Let j(t) be the third derivative of t**7/2520 - t**6/360 + 203*t**4/24 + 189*t**2. Let q(h) be the second derivative of j(h). Determine i, given that q(i) = 0.
0, 2
Let t(m) be the first derivative of -21 + 0*m + 0*m**4 + 5*m**2 + 0*m**3 - 1/180*m**5. Let l(f) be the second derivative of t(f). Factor l(n).
-n**2/3
Let t(j) be the first derivative of -631*j**3 + 55 - 2*j**5 - 13*j**5 + 180*j**4 - 1083*j + 1018*j**2 - 135*j**3 + 350*j**2. Factor t(s).
-3*(s - 1)**2*(5*s - 19)**2
Let b = 2 + -2. Suppose b + 64 = 16*i. Determine o, given that 8/3*o + 4*o**i - 4*o**2 - 4/3*o**3 + 0 - 4/3*o**5 = 0.
-1, 0, 1, 2
Factor 0*c**3 - 32/5*c + 0 + 24/5*c**2 - 2/5*c**4.
-2*c*(c - 2)**2*(c + 4)/5
Determine q so that -q**3 - 160 + 52*q + 153*q**2 - 52*q**2 - 46*q**2 - 54*q**2 = 0.
-8, 4, 5
Let c(v) be the second derivative of -v**5/20 - 13*v**4/4 - 37*v**3/3 + 975*v. Factor c(d).
-d*(d + 2)*(d + 37)
Let h(v) be the second derivative of v**6/270 - 8*v**5/45 + 8*v**4/3 - 2*v**2 - 4*v. Let u(d) be the first derivative of h(d). Let u(m) = 0. What is m?
0, 12
Solve 486 - 15/2*k**3 + 777/2*k**2 + 882*k = 0 for k.
-6/5, -1, 54
Let g(c) = -2*c**2 - 21*c - 64. Let r be g(-7). Let f be (256/40 + -7)/(12/r). Factor f - 27/4*j + 6*j**2.
3*(j - 1)*(8*j - 1)/4
Let b(f) = -6*f**2 + 4640*f - 903272. Let n(l) = 4*l**2 - 3094*l + 602181. Let p(y) = -5*b(y) - 8*n(y). Solve p(g) = 0 for g.
388
Let s(c) be the second derivative of c**4/28 + 149*c**3/42 + 7*c**2 + 4400*c. Solve s(f) = 0.
-49, -2/3
Let w(z) be the first derivative of -z**6/21 + 22*z**5/35 + 25*z**4/14 + 26*z**3/21 + 533. Solve w(o) = 0.
-1, 0, 13
Let -13231350*g + 1947452*g**3 + 16326599 - 92235*g**4 - 19377*g**4 + 22493*g**4 + 1641901 - 6526080*g**2 - 73797*g**4 + 4394*g**5 = 0. Calculate g.
-2, 1, 165/13
Let p(u) be the first derivative of -8*u**3/15 + 2523*u**2/5 + 1262*u/5 - 651. Suppose p(k) = 0. Calculate k.
-1/4, 631
Let k(u) be the second derivative of -u**7/7560 + 29*u**6/1080 - 841*u**5/360 - 109*u**4/12 - 2*u. Let f(w) be the third derivative of k(w). Factor f(y).
-(y - 29)**2/3
Let y(g) = 4*g**3 + 38*g**2 + 94*g + 60. Let m(v) = -32*v + 590*v**2 - v**3 - 14 - 6 - 603*v**2. Let z(t) = -20*m(t) - 6*y(t). Factor z(c).
-4*(c - 10)*(c + 1)**2
Let u be -15*40/(-391 + 31). Factor 5/3*d**2 + u*d - 10.
5*(d - 2)*(d + 3)/3
Suppose -11*c - 210 = 3*c. Let n be (c/(-2) + -4)*(-6)/(-28). Factor 1/4*q**2 + 1/2*q - n.
(q - 1)*(q + 3)/4
Suppose 3*h - 2 = -0*r - r, r + 8 = 2*h. Factor h*j + 3*j**2 + 11*j**2 - 3*j**3 + 10*j + j**2 - 60.
-3*(j - 5)*(j - 2)*(j + 2)
Let p(w) = 7*w**2 - 38*w + 26. Let q be p(7). Suppose 3*d + 102*h - 4 = q*h, d + 4 = 3*h. Let 7/2*t + 1/2*t**d + 0 = 0. Calculate t.
-7, 0
Suppose -11*f - 29 = -62. Let -3*t**f - 2*t**2 - 4*t**2 - 3*t**2 + 0*t**3 + 12 = 0. What is t?
-2, 1
Let b(l) be the third derivative of l**7/10 + 81*l**6/40 + 421*l**5/35 + 207*l**4/14 + 8*l**3 - 1443*l**2. What is u in b(u) = 0?
-7, -4, -2/7
Let q be (-972)/540 - (-38)/10. Factor 8/9*f**3 - 10/9*f + 2/9*f**5 - 4/9 + 8/9*f**4 - 4/9*f**q.
2*(f - 1)*(f + 1)**3*(f + 2)/9
Let f(t) be the third derivative of 0 - 5*t - 50/3*t**3 - 4*t**2 - 5/3*t**4 - 1/15*t**5. Suppose f(d) = 0. What is d?
-5
Solve -32/7 - 2/7*d**3 - 52/7*d - 22/7*d**2 = 0.
-8, -2, -1
Let s(l) = -3*l**3 - 89*l**2 - 433*l + 507. Let r(v) = -48*v**3 - 1431*v**2 -