.
-1, -2/7, 2/3
Let 209 + 2*y**3 + 4*y - 4*y**2 - 353 - 62*y + 204 = 0. What is y?
-5, 1, 6
Let a = 177 - 151. Let k be 2/(-26)*2 - (-56)/a. Find z such that 1/2*z - 1/6*z**5 - 1/3*z**3 + 1/2*z**4 - 1/3*z**k - 1/6 = 0.
-1, 1
Let u(j) be the third derivative of -j**5/30 - 1181*j**4/12 + 2263*j**2 + j. Factor u(q).
-2*q*(q + 1181)
Suppose -7*s + 228 - 111 - 96 = 0. Let i(c) be the first derivative of 1/8*c**s + 0*c + 33/16*c**2 + 21. Suppose i(m) = 0. Calculate m.
-11, 0
Let j(v) be the third derivative of -v**6/50 - 13*v**5/15 - 49*v**4/15 + 16*v**3/3 - 12*v**2 + 15. Solve j(l) = 0.
-20, -2, 1/3
Let k(h) = -h - 52. Let a be k(-54). Factor 30*w + 42*w + 2*w**a - 56 - w**2 - 17*w.
(w - 1)*(w + 56)
Let b(l) be the first derivative of -l**4/2 - 108*l**3 - 320*l**2 - 11815. Let b(s) = 0. What is s?
-160, -2, 0
Solve 261/2 + 125/4*x - 7/4*x**3 - 101*x**2 = 0.
-58, -1, 9/7
Let o be -4 + 10/25*(16 - 1). Factor -152*y**2 + 2*y**3 + 144*y**2 + o*y**4 + 24*y - 8*y**3.
2*y*(y - 3)*(y - 2)*(y + 2)
Suppose 34*j**3 + 14*j**4 + 16/7 - 88/7*j + 36/7*j**2 = 0. Calculate j.
-2, -1, 2/7
Let z(k) = 4*k**3 - 820*k**2 + 816*k + 8. Let l(p) = -p**3 + 273*p**2 - 272*p - 3. Let t(q) = -8*l(q) - 3*z(q). Suppose t(x) = 0. What is x?
0, 1, 68
Suppose -1 + 5 = -4*p. Let q(h) = -h**5 + h**3 - h - 1. Let z(d) = 99*d**5 - 360*d**4 - 155*d**3 - 16*d**2 - d - 1. Let o(i) = p*q(i) + z(i). Factor o(r).
4*r**2*(r - 4)*(5*r + 1)**2
Let g = -4310 - -6968. Let y = 2660 - g. Solve -32/11 + 14/11*d**y + 108/11*d = 0 for d.
-8, 2/7
Let s(g) = g**3 - 79*g**2 + 379*g - 629. Suppose u + 8 = 5*k, -3*u - 6 = -5*k + 8. Let b(n) = n**3 + n**2 - n + 1. Let f(c) = k*s(c) + 4*b(c). Factor f(p).
5*(p - 5)**3
Let f = -550793 - -4957139/9. What is p in -162 - f*p**3 - 6*p**2 - 54*p = 0?
-9
Let g(z) be the third derivative of 7 + 0*z**3 + 0*z + 25*z**2 + 1/40*z**6 - 1/336*z**8 + 2/15*z**5 - 1/105*z**7 + 1/6*z**4. Factor g(c).
-c*(c - 2)*(c + 1)**2*(c + 2)
Suppose -17 = 4*j - 5*q, -2*j + 23 = 5*q - 6. Let v(f) be the first derivative of 3/28*f**4 - 5 + 9/14*f**j - 3/7*f - 3/7*f**3. Factor v(g).
3*(g - 1)**3/7
Suppose 91 - 316 = -248*b + 271. Find u such that 6/7*u - 2/7*u**4 - 20/7 + 22/7*u**b - 6/7*u**3 = 0.
-5, -1, 1, 2
Suppose 48*v**2 - 305*v**3 - 21*v**5 - 262*v**2 - 758*v**2 - 6*v**4 - 324*v + 872*v**3 = 0. What is v?
-6, -2/7, 0, 3
Suppose 92*o + 2/3*o**2 + 270 = 0. What is o?
-135, -3
Let r(y) be the third derivative of y**5/300 - 473*y**4/30 + 447458*y**3/15 + 3478*y**2. Factor r(o).
(o - 946)**2/5
Let l(n) be the first derivative of 5*n**3/2 + 55*n**2/12 - 50*n/3 - 2612. Find c such that l(c) = 0.
-20/9, 1
Suppose 5*r = r - 4*s + 28, 2*s - 10 = 0. Factor -20*n**4 + 882*n**2 + 13*n**3 + r*n**3 - 877*n**2.
-5*n**2*(n - 1)*(4*n + 1)
Let h(a) = -52*a - 468. Let t be h(-9). Let i be (-5 + 5)*2/(-4). Factor -4/7*k**2 + t - 2/7*k + 4/7*k**4 + 2/7*k**5 + i*k**3.
2*k*(k - 1)*(k + 1)**3/7
Let n(w) be the third derivative of w**5/15 - 59*w**4/12 + 28*w**3 - 849*w**2. Factor n(x).
2*(x - 28)*(2*x - 3)
Determine p, given that -130/11*p**3 - 684/11*p**2 + 2/11*p**4 - 1112/11*p - 560/11 = 0.
-2, -1, 70
Let c(a) = -2*a**2 + 337*a - 248. Let v(p) = 2*p**2 - 366*p + 248. Let b(t) = -4*c(t) - 3*v(t). Factor b(f).
2*(f - 124)*(f - 1)
Let o(f) be the second derivative of -f**5/4 + 25*f**4/12 - 20*f**3/3 + 10*f**2 - 100*f - 7. Factor o(l).
-5*(l - 2)**2*(l - 1)
Factor 4812*r - 244*r**2 - 4190 - 968*r**2 + 8*r**3 - 5*r**3 - 610.
3*(r - 400)*(r - 2)**2
Let x(y) be the second derivative of -y**5/90 + y**4/2 - 32*y**3/9 + 92*y**2/9 - 13*y - 32. Factor x(u).
-2*(u - 23)*(u - 2)**2/9
Let g(y) be the second derivative of y**7/21 - 2*y**6/15 - 6*y**5/5 - 7*y**4/3 - 5*y**3/3 + 5*y - 4. Factor g(c).
2*c*(c - 5)*(c + 1)**3
Let u = -44 + 109. Factor 2 - 2*h**4 - u*h**3 + 2*h**2 - 2 + 131*h**3 - 62*h**3 - 4*h.
-2*h*(h - 2)*(h - 1)*(h + 1)
Let n(v) = 11*v**3 + 26*v**2 - 15*v - 14. Let x(k) = 12*k**3 + 27*k**2 - 18*k - 21. Let d(u) = -3*n(u) + 2*x(u). Factor d(i).
-3*i*(i + 3)*(3*i - 1)
Let r be 2/3 - 536/(-6). Let o be (2 - 0/2)/(12/24). Let 25*n**o - n**3 - 20 + 80*n - 9*n**3 - r*n**2 + 15*n**2 = 0. What is n?
-2, 2/5, 1
Suppose 18*a - 782 = -5*a. Suppose -614*q + 597*q = -a. Determine v, given that 4/13*v**q + 2/13*v**5 + 8/13*v**4 + 0 + 10/13*v**3 + 0*v = 0.
-2, -1, 0
Let b be -288 + (15/(-60) - (-11)/(-4)). Let p = b + 295. Factor 7/3*r**2 + 2/3*r + 2/3*r**p + 0 + 7/3*r**3.
r*(r + 1)*(r + 2)*(2*r + 1)/3
Let u(b) be the first derivative of 14*b**3/9 + 55*b**2/3 - 1786. Factor u(n).
2*n*(7*n + 55)/3
Suppose 7*u = 2*u - 0*u. Find g, given that -2*g + 953*g**5 - 4*g**4 + 4*g**2 - 951*g**5 + u*g = 0.
-1, 0, 1
Let u = 40271 - 40269. Let -u*d**4 - 1/4*d**5 - 6*d**2 - 11/2*d**3 + 0 - 9/4*d = 0. What is d?
-3, -1, 0
Let 195*b**2 + 10000/3 + 1640*b - 5/3*b**3 = 0. What is b?
-4, 125
Let u(h) be the third derivative of -h**5/60 - 1003*h**4/24 - 2341*h**2 - 2. Find k such that u(k) = 0.
-1003, 0
Factor 125464 + 4*f**3 - 480680 - 2109*f**2 - 279*f**2 + 357600*f.
4*(f - 298)**2*(f - 1)
Suppose 140 = 2*p - 172. Factor -119*f - p*f - 5*f**2 + 335*f.
-5*f*(f - 12)
Let x be 36/(-60) - (-254)/(-10). Let r = x + 30. Let -q**2 + 3*q - r + 0*q + 5*q - 12*q = 0. Calculate q.
-2
Suppose 808 = -196*d + 5512. Let s(m) be the second derivative of -24*m**2 - 7/10*m**6 + 0 + 40*m**3 - d*m**4 - 8*m + 33/5*m**5. Let s(h) = 0. Calculate h.
2/7, 2
Let h be 5/(7*(-80)/(-1568)) - 9. Let -k**2 - 3/2 + 3/2*k**3 + 1/2*k**4 - 13/4*k - 1/4*k**h = 0. What is k?
-1, 2, 3
Let l be (-578)/(-104) + 120/(-390). Let x(y) be the first derivative of 17/5*y**5 + 0*y + 11/3*y**3 - y**2 - 5/6*y**6 + 15 - l*y**4. Factor x(z).
-z*(z - 1)**3*(5*z - 2)
Let i = -2961 - -2964. Let w(c) be the third derivative of -16*c**2 + 0*c + 1/24*c**4 - 1/60*c**5 + 0 + 0*c**i. Factor w(q).
-q*(q - 1)
Let u(d) be the first derivative of 3*d**4/4 + 151*d**3 + 16401*d**2/2 - 53361*d - 4281. Determine c, given that u(c) = 0.
-77, 3
Let 1426/3*q**2 - 1/3*q**3 - 508369/3*q + 0 = 0. Calculate q.
0, 713
Let d be (24 - 26)/(2/(-53)). Let y be (-80)/(-48) + d/(-39). Factor 6/13*u**4 - 4/13*u**2 + 2/13*u**5 + y*u**3 - 6/13*u - 2/13.
2*(u - 1)*(u + 1)**4/13
Let g(a) be the first derivative of a**3 - 7059*a**2 + 16609827*a - 8626. Let g(n) = 0. Calculate n.
2353
Factor 1475/2 + 15/2*o**2 + 2215*o.
5*(o + 295)*(3*o + 1)/2
Let b = 269 - 217. Determine q, given that 6*q**2 - 30*q**3 - b*q**3 + 4*q**4 + 148*q**3 - 22*q - 10 - 44*q**3 = 0.
-5, -1, -1/2, 1
Let z be (-32)/(-14) + (430/(-35) - -12). Suppose -10*u + 11*u - z = 0, 0 = -4*o - u + 10. Determine a, given that -1/4 + a**3 - 3/2*a**o + a - 1/4*a**4 = 0.
1
Let z(f) = 7*f**2 + 1440*f + 480249. Let t(k) = 8*k**2 + 1449*k + 480249. Let d(r) = 6*t(r) - 7*z(r). Factor d(b).
-(b + 693)**2
Suppose -49*c - 3*i = -46*c - 12, 0 = -i + 2. Let w(j) be the second derivative of -1/18*j**4 + 2/9*j**3 - 6*j + 0 + j**c. Suppose w(b) = 0. What is b?
-1, 3
Let v be 114/(108/18) - 16. Let m(b) be the first derivative of -8*b**2 - 16*b - 31 - 4/3*b**v. Factor m(c).
-4*(c + 2)**2
Let u(s) be the first derivative of -2*s**6/15 - s**5/5 + 2*s**4/3 + 35*s - 48. Let h(k) be the first derivative of u(k). Solve h(a) = 0.
-2, 0, 1
Let b be -1*(-9)/15 - ((-379936)/4340 + 86). Factor 3/7*c**3 + b*c**2 + 9/7 + 3*c.
3*(c + 1)**2*(c + 3)/7
Let o(n) be the first derivative of -300*n**3 - 1680*n**2 - 3136*n - 395. Let o(q) = 0. What is q?
-28/15
Let g(w) = 7*w - 12. Let y be g(4). Suppose -3*u + p - 1 + 13 = 0, p = 4*u - y. Let 5 - 3*b - u*b**2 - b - b - 6*b**2 = 0. What is b?
-1, 1/2
Let r(z) be the second derivative of -31*z**7/2100 + 29*z**6/900 + z**5/150 + 5*z**3/6 - z**2 - 125*z. Let u(y) be the second derivative of r(y). Factor u(w).
-2*w*(w - 1)*(31*w + 2)/5
Suppose 459*q + 297/2 + 1479/8*q**2 - 90*q**3 - 75/8*q**4 = 0. Calculate q.
-11, -6/5, -2/5, 3
Let i(f) be the third derivative of f**8/112 + 3*f**7/70 - 21*f**6/20 + 49*f**5/10 - 87*f**4/8 + 27*f**3/2 - 8*f**2 + 8. Factor i(a).
3*(a - 3)*(a - 1)**3*(a + 9)
Let d be -4 - ((-117)/6)/((-6)/(-24)). Let p be 4/(-3)*12/(-8). Factor 84 + 7*z**p - 2*z**2 - 15*z - d.
5*(z - 2)*(z - 1)
Let g = -1311/13 + 101. Let d(a) = -5*a**2 - 123*a - 685. Let n be d(-16). Factor 6/13*j**2 + 0 + 4/13*j + g*j**n.
2*j*(j + 1)*(j + 2)/13
Let x(r) be 