, given that 15*j**5 - 155*j**4 + 365*j**3 + 495*j**2 - 1700*j + 500 = 0.
-2, 1/3, 2, 5
Factor 4*w**3 - 932*w**2 + 14688*w.
4*w*(w - 216)*(w - 17)
What is f in f**5 - 3387*f**4 - 3393*f**3 + 16943*f**2 - 10164*f = 0?
-3, 0, 1, 3388
Solve r**5 + 38*r**4 + 484*r**3 + 2058*r**2 - 2565*r - 27216 = 0 for r.
-16, -9, -7, 3
Determine v so that -84*v**5/5 - 51*v**4/5 + 738*v**3/5 - 1068*v**2/5 + 546*v/5 - 81/5 = 0.
-27/7, 1/4, 1
Factor -4*a**2 + 24088*a - 36264484.
-4*(a - 3011)**2
What is t in -4*t**2 - 53824*t - 181063936 = 0?
-6728
Factor 5*k**5 - 1372010*k**4 - 4116060*k**3 - 4116070*k**2 - 1372025*k.
5*k*(k - 274405)*(k + 1)**3
Factor -4*j**3 - 232*j**2 - 864*j.
-4*j*(j + 4)*(j + 54)
Factor 2*g**4/9 - 292*g**3/3 - 6230*g**2/9.
2*g**2*(g - 445)*(g + 7)/9
Factor -g**3/7 + 3944*g**2/7 - 3896660*g/7 + 15523600/7.
-(g - 1970)**2*(g - 4)/7
Suppose 4*c**4 + 616*c**3 - 12076*c**2 + 52976*c = 0. Calculate c.
-172, 0, 7, 11
Factor -2*n**2 + 50036*n - 312950162.
-2*(n - 12509)**2
Determine x, given that 379*x**2/3 - 1885*x/3 - 50/3 = 0.
-10/379, 5
Let -21*c**5/8 + 81*c**4/8 + 183*c**3/4 - 531*c**2/2 + 399*c - 180 = 0. Calculate c.
-5, 6/7, 2, 4
Solve -5*m**4 - 5310*m**3 + 5365*m**2 + 53190*m + 42520 = 0.
-1063, -2, -1, 4
Factor 3*f**4 - 1077*f**3 - 21402*f**2 - 54432*f.
3*f*(f - 378)*(f + 3)*(f + 16)
Find m, given that -822*m**3 - 9867*m**2 + 22980*m + 84 = 0.
-14, -1/274, 2
Suppose 2*b**2 + 1190*b + 38148 = 0. Calculate b.
-561, -34
Factor -r**4/3 + 260*r**3/3 + 621*r**2 + 534*r.
-r*(r - 267)*(r + 1)*(r + 6)/3
Solve 3*q**5 + 1107*q**4 - 6735*q**3 + 5697*q**2 + 26892*q - 40500 = 0.
-375, -2, 2, 3
Find o, given that o**2/4 - 1481*o - 17781/4 = 0.
-3, 5927
Let -11*p**3/3 - 37*p**2/3 + 280*p/3 = 0. Calculate p.
-7, 0, 40/11
Factor 3*q**2 - 2424*q - 57339.
3*(q - 831)*(q + 23)
Solve -2*a**4/5 - 42*a**3/5 + 192*a**2 + 4960*a + 19200 = 0 for a.
-20, -5, 24
Find v, given that -v**4/3 + 4237*v**3/3 - 1493894*v**2 - 13474720*v/3 - 8988800/3 = 0.
-2, -1, 2120
Factor -4*p**2/7 + 4892*p/7 - 348688/7.
-4*(p - 1147)*(p - 76)/7
Suppose -30*b**4/17 - 3086*b**3/17 - 334*b**2 - 2218*b/17 + 404/17 = 0. What is b?
-101, -1, 2/15
Determine s, given that s**2/4 - 1577*s = 0.
0, 6308
Determine j, given that -j**2/11 + 118641*j/11 - 118640/11 = 0.
1, 118640
Solve 5*m**4 - 14700*m**3 - 5*m**2 + 14700*m = 0.
-1, 0, 1, 2940
Let -4*m**3/5 + 41804*m**2/5 + 586168*m/5 - 267904 = 0. What is m?
-16, 2, 10465
Suppose 2*n**2 + 1108*n - 6720 = 0. Calculate n.
-560, 6
Find u such that -3*u**5 + 318*u**4 + 2061*u**3 - 5064*u**2 + 2688*u = 0.
-8, 0, 1, 112
Find w such that -w**4 + 15*w**3 + 39*w**2 - 515*w - 1050 = 0.
-5, -2, 7, 15
Find u, given that -4*u**2/3 - 2312312*u/3 - 334174174084/3 = 0.
-289039
Let 4*k**3 - 192*k**2 - 2320*k = 0. What is k?
-10, 0, 58
Find v, given that -2*v**5/17 - 298*v**4/17 + 4866*v**3/17 - 8830*v**2/17 + 4264*v/17 = 0.
-164, 0, 1, 13
Let -k**3/2 + 3173*k**2 - 12689*k/2 + 3172 = 0. Calculate k.
1, 6344
Factor n**3/3 - 20290*n**2/3 + 103224700*n/3 - 1026169000.
(n - 10130)**2*(n - 30)/3
Factor -2*h**4 - 174*h**3 + 1352*h**2 + 3384*h.
-2*h*(h - 9)*(h + 2)*(h + 94)
Factor -2*n**3/7 + 126*n**2 + 5396*n/7 - 14304/7.
-2*(n - 447)*(n - 2)*(n + 8)/7
Determine b, given that 2*b**4/5 - 368*b**3 + 10966*b**2/5 + 1888*b/5 - 10968 = 0.
-2, 3, 5, 914
What is i in 4737042*i**2/7 + 30780*i/7 + 50/7 = 0?
-5/1539
Factor 8863*y**2/2 + 53179*y/4 + 3/4.
(y + 3)*(17726*y + 1)/4
Determine x, given that -2*x**3 - 2894*x**2 - 17292*x = 0.
-1441, -6, 0
Solve r**3 + 28*r**2 - 245*r = 0 for r.
-35, 0, 7
Factor 2*r**4 + 240*r**3 - 22568*r**2.
2*r**2*(r - 62)*(r + 182)
Factor 4*h**2 - 1290*h - 7884.
2*(h + 6)*(2*h - 657)
Find s, given that -266*s**5/13 + 1166*s**4 - 55366*s**3/13 - 3686*s**2 + 253056*s/13 + 3816/13 = 0.
-2, -2/133, 3, 53
Factor 2*o**5/3 - 1918*o**4/3 + 5088*o**3 - 45712*o**2/3 + 60896*o/3 - 10144.
2*(o - 951)*(o - 2)**4/3
Let 125*w**5 - 34325*w**4 + 79505*w**3 + 2415925*w**2 + 955730*w + 95200 = 0. What is w?
-7, -1/5, 10, 272
What is r in r**4 + 1416*r**3 + 41517*r**2 - 87286*r + 44352 = 0?
-1386, -32, 1
Find c, given that -8170*c**2/9 + 2*c/9 = 0.
0, 1/4085
Factor -2*g**2/3 + 14324*g/9 + 3184/3.
-2*(g - 2388)*(3*g + 2)/9
Factor -5*c**3 + 3500*c**2 + 151515*c + 288990.
-5*(c - 741)*(c + 2)*(c + 39)
Find t such that 2*t**2/3 - 153760*t/3 + 2955267200/3 = 0.
38440
Suppose 35*z**5/3 + 5863*z**4/3 - 23517*z**3 + 250433*z**2/3 - 253880*z/3 + 17900 = 0. What is z?
-179, 2/7, 6/5, 5
Find g such that -3*g**4/2 - 504*g**3 + 4101*g**2/2 + 3555*g - 5100 = 0.
-340, -2, 1, 5
Solve -4*r**5/3 + 140*r**4/3 - 1048*r**3/3 + 3056*r**2/3 - 3808*r/3 + 1664/3 = 0.
1, 2, 4, 26
Determine f so that 4*f**3 + 280*f**2 + 2436*f + 2160 = 0.
-60, -9, -1
Solve -w**4 - 475*w**3 - 22835*w**2 - 42365*w + 65676 = 0 for w.
-421, -52, -3, 1
Suppose -4*c**2 + 372*c + 9040 = 0. What is c?
-20, 113
What is q in -3*q**3 - 2055*q**2 - 14238*q = 0?
-678, -7, 0
Let -10*i**4 + 15*i**3 + 5230*i**2 - 20715*i + 15480 = 0. What is i?
-24, 1, 3, 43/2
Determine t, given that 2*t**4/13 + 316*t**3/13 - 21006*t**2/13 - 3304*t - 1664 = 0.
-208, -1, 52
Factor t**2/7 - 285*t/7 - 138496/7.
(t - 541)*(t + 256)/7
Determine o so that -o**4/6 + 8*o**3 + 171*o**2/2 + 18*o - 1026 = 0.
-6, 3, 57
Suppose -z**4 - 51066*z**3 - 868785372*z**2 - 4916431588950*z + 133378003101357 = 0. What is z?
-17031, 27
Let -309*h**5/2 + 730*h**4 - 1217*h**3/2 - 791*h**2 + 666*h - 36 = 0. Calculate h.
-1, 6/103, 2/3, 2, 3
Factor l**4/3 - 124*l**3 - 20240*l**2 + 38299600*l/3 - 1289702000.
(l - 230)**3*(l + 318)/3
Factor 2*j**2/5 + 24100*j + 363006250.
2*(j + 30125)**2/5
Suppose 3*b**5/4 + 63*b**4/2 + 1827*b**3/4 + 2472*b**2 + 2331*b - 5292 = 0. Calculate b.
-14, -12, -3, 1
What is c in -c**3/2 - 3161*c**2/2 + 6329*c/2 + 9489/2 = 0?
-3163, -1, 3
Suppose v**5/5 + 31*v**4/5 - 4721*v**3/5 - 152939*v**2/5 + 5580904*v/5 + 187979092/5 = 0. What is v?
-46, -37, 49
What is g in -2*g**4/13 + 258*g**3/13 + 540*g**2/13 - 2096*g/13 = 0?
-4, 0, 2, 131
Suppose 2*h**3/11 + 4232*h**2/11 + 4218*h/11 - 25380/11 = 0. What is h?
-2115, -3, 2
Factor -4*g**3 - 3380*g**2 + 20488*g + 54464.
-4*(g - 8)*(g + 2)*(g + 851)
Factor 2*s**3 + 149404*s**2 + 298802*s + 149400.
2*(s + 1)**2*(s + 74700)
Determine b so that b**4/2 + 49*b**3 - 16923*b**2/2 - 52038*b - 78678 = 0.
-186, -3, 94
Find s such that -4*s**4/7 + 176*s**3/7 - 2880*s**2/7 + 20800*s/7 - 8000 = 0.
10, 14
Determine d so that -3*d**2 + 3824544*d = 0.
0, 1274848
Factor -2*s**2 + 34690*s + 104088.
-2*(s - 17348)*(s + 3)
Factor -2*g**4/5 - 97238*g**3/5 + 194482*g**2/5 - 97242*g/5.
-2*g*(g - 1)**2*(g + 48621)/5
Factor -b**2 - 1514*b + 703851.
-(b - 373)*(b + 1887)
Factor 3*i**2/2 - 11136*i.
3*i*(i - 7424)/2
Suppose -3*v**5/5 + 10827*v**4/5 - 86493*v**3/5 + 248553*v**2/5 - 60504*v + 129636/5 = 0. What is v?
1, 2, 3, 3601
What is l in 2*l**4/3 - 454*l**3/5 + 4166*l**2/15 + 798*l = 0?
-9/5, 0, 5, 133
Factor -2*z**4/17 - 5112*z**3/17 - 4360524*z**2/17 - 1245625720*z/17 - 3697770306/17.
-2*(z + 3)*(z + 851)**3/17
Determine h so that 3*h**2 + 319365*h + 1277412 = 0.
-106451, -4
Factor -4*n**2 - 154588*n.
-4*n*(n + 38647)
Determine c so that c**4/3 - 51*c**3 + 5402*c**2/3 - 16736*c - 41088 = 0.
-2, 24, 107
Suppose 2*l**3 - 96*l**2 - 4898*l = 0. Calculate l.
-31, 0, 79
Factor -r**2/7 + 16388*r/7 - 2341.
-(r - 16387)*(r - 1)/7
Factor -2*u**2/17 - 654*u/17 + 10260/17.
-2*(u - 15)*(u + 342)/17
Factor -467*p**3 - 3249*p**2/7 + 20*p/7.
-p*(p + 1)*(3269*p - 20)/7
Find x such that -5*x**5 - 2125*x**4 + 6540*x**3 + 51500*x**2 + 59920*x = 0.
-428, -2, 0, 7
Find q such that -2*q**5/7 - 104*q**4/7 - 104*q**3 - 1056*q**2/7 = 0.
-44, -6, -2, 0
Let g**2/2 + 69*g/8 - 1269/4 = 0. What is g?
-141/4, 18
Find z such that 3*z**5/2 + 15*z**4 - 72*z**3 - 141*z**2 + 861*z/2 - 234 = 0.
-13, -3, 1, 4
Factor -2*m**2 - 17628*m + 35264.
-2*(m - 2)*(m + 8816)
Find t, given that -2*t**4/3 - 218*t**3/9 + 154*t**2/9 + 218*t/9 - 148/9 = 0.
-37, -1, 2/3, 1
Determine t so that t**2 + 5814*t + 8450649 = 0.
-2907
Determine s so that -4*s**3 + 5132*s**2 - 834652*s + 36469524 = 0.
91, 1101
Determine z, given that 2*z**2/7 + 14689*z/7 + 7344/7 = 0.
-7344, -1/2
Determine p, given that 3*p**2 + 458685*p + 458682 = 0.
-152894, -1
Let -5*b**2 - 18785*b - 18780 = 0. Calculate b.
-3


 j. What are the prime factors of n?
2, 7
What are the prime factors of 103*(-1)/1*-1?
103
Suppose -v + m = 2*v - 96, 3*m = 0. Let o = -22 + v. What are the prime factors of o?
2, 5
Suppose -3*k + 24 = -2*k. List the prime factors of k.
2, 3
Let m(p) = p**2 + 3*p - 10. What are the prime factors of m(5)?
2, 3, 5
Let l = -4 - -19. Let q = l - -5. What are the prime factors of q?
2, 5
Suppose 2*x = 4*r + 4*x - 2, 3*r - 9 = -4*x. What are the prime factors of (2 + 1)*r + 15?
2, 3
Suppose 29*q = 31*q - 10. List the prime factors of ((-162)/15)/(q/(-25)).
2, 3
Suppose 0*v = 2*v + b - 74, -b + 150 = 4*v. What are the prime factors of v?
2, 19
Let y(l) = -2*l**2 + 2. Suppose 2*c + 16 = 2*q + 2*q, -q - 3 = 3*c. Let a be y(c). Let w(g) = 2*g**2 + 9*g + 5. What are the prime factors of w(a)?
23
Let s = 132 - 51. List the prime factors of s.
3
List the prime factors of 0 + 16 - (-13)/13.
17
Let x(r) = r**2 + r + 4. Let j be 3*(-3 + 2) + 0. Let a be x(j). Suppose 3*o - 5*o + a = 2*n, 4*o - 5*n - 38 = 0. List the prime factors of o.
7
Let n(o) = o**3 + 15*o**2 + 6*o - 27. What are the prime factors of n(-14)?
5, 17
Suppose -5*f - 52 = -f. Let y = -8 - f. Suppose 2*h = y*h - 9. List the prime factors of h.
3
Let k(c) = 2*c**2 - 4*c - 8. List the prime factors of k(5).
2, 11
Let k(t) = -13*t + 6. What are the prime factors of k(-6)?
2, 3, 7
Let b = 5 - -44. List the prime factors of b.
7
Let o = -1 + -5. Let k(a) = a**2 + 5*a - 2. List the prime factors of k(o).
2
Suppose 7*o + 40 = 5*k + 2*o, -3*o = 5*k. Suppose 0 = -k*t + 2*f + 96, 6*t - 4*t - 63 = f. List the prime factors of t.
2, 3, 5
Suppose -t + 13 = -23. What are the prime factors of t?
2, 3
Let x = 1 + 3. Suppose -x*b + 55 + 65 = 0. Suppose 0 = -0*s + 3*s - b. List the prime factors of s.
2, 5
Let t = -44 + 81. Let i = 3 + 2. Suppose t = i*d - 28. List the prime factors of d.
13
Suppose -7*v + 2*v + 175 = 0. Suppose 4*h = -4*w + 56, -2*h - v = -2*w + 3*h. List the prime factors of w.
3, 5
Suppose 3*o - 7 = i - 0*i, 0 = -5*o - 5*i - 15. Let q = 7 - o. What are the prime factors of q?
2, 3
Let n(q) = q**3 + q**2 - q + 17. Let s be n(0). Let t = -5 + s. What are the prime factors of t?
2, 3
Let j(x) = 2 - 1 - 2*x - 4 - 4. Let k(m) = m**3 + 6*m**2 + 2*m + 3. Let l be k(-6). List the prime factors of j(l).
11
Let n(a) = -a**3 + 8*a**2 + 13*a + 3. Let d = 7 - -2. List the prime factors of n(d).
3, 13
Let a = 6 + -4. Suppose a*c = 3*c - 5. What are the prime factors of c?
5
Suppose u + 4 = 5*d - 0*u, -5*d = -2*u - 8. Suppose -3*m - 2*m + 165 = d. What are the prime factors of m?
3, 11
Suppose q = 2*i + 73, 4*q - 491 + 175 = -4*i. Suppose 3*f - q = h, 3*h = -4*f + h + 116. Suppose -8 + f = m. List the prime factors of m.
19
Let j(r) = 2*r. Let l(y) = y**2 - 3*y. Let w(g) = 3*j(g) + 2*l(g). List the prime factors of w(-1).
2
Let k = 27 - 11. Let t be (-4)/k - 18/(-8). Suppose -32 = -t*f - 0*f. What are the prime factors of f?
2
Let w = 15 + -12. List the prime factors of -2 + 10 + 9/w.
11
Suppose 4*x + 2*j - 116 = 40, 3*x + 4*j = 112. What are the prime factors of x?
2, 5
Let o(x) = -5*x - 15. Let s(k) = 14*k + 44. Let i(a) = 17*o(a) + 6*s(a). Let c be i(7). Suppose -m = c*m - 27. List the prime factors of m.
3
Let z(p) = -p**2 - p - 1. Suppose 4*g + 4 = -o + 3*g, 0 = -2*o + g - 8. Let a(q) = q**2 + q + 2. Let b(j) = o*z(j) - a(j). What are the prime factors of b(-2)?
2
Suppose 2*t - 2 = 2. Suppose -t*o + p = -14, -2*o = -o - p - 5. Suppose -x = -2*l - o, -5*x = -x + l - 27. What are the prime factors of x?
7
List the prime factors of 6*(4 + (-192)/(-9)).
2, 19
Let u(h) = -2*h**2 - 16*h - 8. What are the prime factors of u(-6)?
2
Suppose 5*d = l + 145, -l + 89 = 3*d - 2*l. Let h be 14/3 + 8/(-12). What are the prime factors of d/h + (1 - 0)?
2
Let y be (-51)/5 - (-6)/30. Let g = y - -5. List the prime factors of (-46)/(-10) - 2/g.
5
Suppose f + m + 9 = 1, 4*m = 5*f + 22. Let h(x) = -x + 2. What are the prime factors of h(f)?
2
List the prime factors of ((-4)/(48/417))/((-1)/4).
139
Let v be ((-1)/(-2))/((-4)/(-72)). Suppose 0 = -4*c + 5*c - v. What are the prime factors of c?
3
Let l(a) = -1. Let n(t) = 2*t - 13. Let q(s) = l(s) + n(s). What are the prime factors of q(11)?
2
Let p = -8 - -13. Suppose -12 = 5*n - p*t - 42, -3*t = 5*n + 10. Suppose 5 - n = f. What are the prime factors of f?
2
Let q(u) = -8*u - 1. Let f(l) = -16*l - 3. Let n(t) = 2*f(t) - 5*q(t). Let c(v) = -v**2 - 6*v - 4. Let m be c(-5). List the prime factors of n(m).
7
Suppose -9*j + 359 = -640. What are the prime factors of j?
3, 37
List the prime factors of (-5 + -1*1)/(59/(-1593)).
2, 3
Let t(q) = q**3 - 6*q**2 + 7*q. Let i be t(5). Suppose -z + i = -9. What are the prime factors of z?
19
Let b be 4/6 + 1700/51. Suppose 4*t - b = 122. What are the prime factors of t?
3, 13
Suppose k + 3*d - 5 = 0, -5 = -2*k - 3*d + 5. Let g = k - 2. Suppose -g*t + 0*f = 2*f - 5, 5*f + 40 = 3*t. What are the prime factors of t?
5
Suppose 3*v + 4*y + 22 = 0, 5*y = -3*v - 11 - 9. Let t = 14 + v. Suppose -b = -6 - t. What are the prime factors of b?
2, 5
Let k(y) = y + 8. Let t be k(-6). Let x(g) be the third derivative of g**4/4 + g**3/6 + g**2. What are the prime factors of x(t)?
13
Suppose 408 = 35*d - 31*d. What are the prime factors of d?
2, 3, 17
Let n(v) = 2 - 10*v + 7*v - 16*v - 4*v. List the prime factors of n(-2).
2, 3
What are the prime factors of 3 + -4 + 134 - 4?
3, 43
Let s be 44/10 - 10/25. Suppose v + 17 = -s. Let r = -10 - v. List the prime factors of r.
11
Suppose -3*p - 2*p + 20 = 0, 5*w - 37 = -3*p. Suppose -4*n = w*a + 17, 6*a + 22 = n + 2*a. List the prime factors of -6*(-1 - n/(-6)).
2
Suppose -3*z = -2*v + 293, -2*z + 165 = 5*v - 615. What are the prime factors of v?
2, 7, 11
Let d be (-4)/7 - 1285/(-7). Suppose d = 6*f - 3. List the prime factors of f.
31
Let t(l) = l + 9. Let z be t(-7). Suppose 5*u + 70 = 5*n, 0*u = -3*n - z*u + 37. Suppose 2*o + n = 3*o. List the prime factors of o.
13
Let b(n) = n**2 - 2*n + 39. What are the prime factors of b(0)?
3, 13
Suppose 1 = -5*g + 26. Suppose 3*s = g*s - 8. List the prime factors of ((-6)/s)/(2/(-16)).
2, 3
Let b(y) = -y + 1. Let w be b(1). Let a be (6/4)/((-6)/(-16)). Suppose m - 3*x = 8, x - 58 = -a*m - w. List the prime factors of m.
2, 7
Let y(m) be the first derivative of m**2/2 + 12*m + 3. List the prime factors of y(0).
2, 3
Suppose -2*h - 16 = -d, -3*d + 5*h + 10 = -36. What are the prime factors of d?
2, 3
What are the prime factors of (48/28)/(2/14)?
2, 3
Suppose 2*o + 130 = -4*m + 464, 4*o + 4*m = 664. What are the prime factors of o?
3, 5, 11
Let q(m) be the first derivative of -5*m**2/2 + m - 1. Let u(z) = -9*z + 1. Let b(c) = 5*q(c) - 3*u(c). List the prime factors of b(2).
2, 3
Let f = -1 + 64. List the prime factors of f.
3, 7
Let k(t) = 2*t**2 + 10*t - 11. List the prime factors of k(-10).
89
List the prime factors of ((-80)/(-6))/((-12)/(-18)).
2, 5
Let a(u) = 6*u - 3. Let k be a(3). Suppose 2*l - 7 = 2*s - 3*s, -5*l - 5*s + k = 0. Let b(f) = -f**2 + 4*f + 4. List the prime factors of b(l).
2
Suppose 4*u = 4*n, 3*u + n + 0 = 8. Suppose -u*i = -7*i + 15. List the prime factors of i*12/9 + -1.
3
Suppose -6*b + 351 - 141 = 0. What are the prime factors of b?
5, 7
Let i = 16 + -13. Suppose -40 = -4*a + 2*q + 2*q, i*a + 5*q + 10 = 0. List the prime factors of a.
5
Let w be 114/(-10) - 6/(-15). Let b(l) be the second derivative of -l**5/20 - 11*l**4/12 - l**3/6 - l**2 + l. List the prime factors of b(w).
3
Suppose -4*o - 75 = 5*n, -12 = o + 4*n + 15. What are the prime factors of (o/4)/(1/(-4))?
3, 5
Let y(z) be the second derivative of -z**5/20 + 5*z**4/12 + 7*z**3/6 - z. Let o(v) = -v**2 + 14*v + 21. Let d be o(15). What are the prime factors of y(d)?
2, 3
Let f(h) = h**3 - 4*h**2 - 4*h - 3. Let q be f(5). Suppose -5*j = -2*w + 8, w - 2*j = -0 + 2. Let r = q - w. What are the prime factors of r?
2
Suppose 0 = -4*f + 5*f - 17. List the prime factors of f.
17
Suppose -g - 2*l + 7*l = 0, g - 6 = 2*l. Suppose 0*o - 5*o = -g. What are the prime factors of o?
2
Let o be (18/8)/((-1)/(-8)). Suppose -4*m + 10 = -o. What are the prime factors of m?
7
Suppose -4*y + 2*y + 6 = 0. Suppose -12 = -y*t - t. Suppose 0 = -b + 2, b = -t*s - 0*b + 29. What are the prime factors of s?
3
S


3, d: 1, u: 5}. Give prob of sequence udud.
0
Four letters picked without replacement from {w: 1, z: 3, v: 1, f: 2, p: 3}. Give prob of sequence pfpf.
1/420
Two letters picked without replacement from tuuccg. What is prob of sequence gu?
1/15
Two letters picked without replacement from {e: 3, x: 1, n: 1, m: 1, b: 11, k: 2}. Give prob of sequence xm.
1/342
What is prob of sequence uk when two letters picked without replacement from qkqqukkkqu?
4/45
Four letters picked without replacement from zlotlhthlllllhllzjt. What is prob of sequence zozt?
1/15504
What is prob of sequence fh when two letters picked without replacement from {h: 1, v: 1, f: 1, c: 4, l: 4}?
1/110
Calculate prob of sequence iqnk when four letters picked without replacement from {n: 6, q: 3, e: 1, k: 1, i: 6}.
9/4760
Two letters picked without replacement from vvvyyvvyyvvvvv. What is prob of sequence yv?
20/91
Three letters picked without replacement from vuuv. Give prob of sequence vuv.
1/6
Two letters picked without replacement from iwz. What is prob of sequence iz?
1/6
What is prob of sequence ca when two letters picked without replacement from xxacaxaxxaaaxaxq?
7/240
Calculate prob of sequence agca when four letters picked without replacement from cckgocoaooaoooacggco.
1/1292
What is prob of sequence ll when two letters picked without replacement from looollolloooooll?
7/40
What is prob of sequence ss when two letters picked without replacement from sdddmdddddddsd?
1/91
Three letters picked without replacement from eiheiie. What is prob of sequence eee?
1/35
Three letters picked without replacement from {a: 1, t: 1, q: 1, r: 1, n: 1}. What is prob of sequence art?
1/60
Two letters picked without replacement from oooowowwwwoosso. Give prob of sequence ws.
1/21
Two letters picked without replacement from sssnn. Give prob of sequence ss.
3/10
What is prob of sequence pon when three letters picked without replacement from papaopanna?
1/120
What is prob of sequence zz when two letters picked without replacement from {z: 2, w: 4, r: 4, k: 1, b: 6, f: 3}?
1/190
Two letters picked without replacement from {t: 2, s: 4, y: 10}. What is prob of sequence ys?
1/6
What is prob of sequence iwww when four letters picked without replacement from wiiiiwwiiw?
1/35
Two letters picked without replacement from iggggirgigrgiigigg. What is prob of sequence ri?
2/51
Calculate prob of sequence hph when three letters picked without replacement from phhgh.
1/10
Calculate prob of sequence xf when two letters picked without replacement from ccxhhhxchccfc.
1/78
Calculate prob of sequence aj when two letters picked without replacement from {a: 2, b: 4, z: 9, j: 1}.
1/120
Three letters picked without replacement from bzlqlzbzjlzlzyzbyb. What is prob of sequence lby?
1/153
What is prob of sequence fe when two letters picked without replacement from {f: 1, e: 1, n: 7}?
1/72
Two letters picked without replacement from {e: 2, i: 7}. What is prob of sequence ii?
7/12
What is prob of sequence ro when two letters picked without replacement from ororrrroororr?
10/39
What is prob of sequence zkz when three letters picked without replacement from zkkkkkz?
1/21
Two letters picked without replacement from {n: 1, j: 8, o: 2, p: 3, l: 4, b: 2}. What is prob of sequence ob?
1/95
Three letters picked without replacement from fcffvcffzvmv. Give prob of sequence mfc.
1/132
What is prob of sequence ccx when three letters picked without replacement from {q: 1, x: 3, p: 1, c: 3, w: 3}?
1/55
Two letters picked without replacement from {e: 1, f: 11, v: 2, w: 5}. Give prob of sequence fv.
11/171
Calculate prob of sequence pex when three letters picked without replacement from fxfpxezs.
1/168
Three letters picked without replacement from rrrrnrrrrrrrr. What is prob of sequence rnr?
1/13
What is prob of sequence yii when three letters picked without replacement from tytyiiii?
1/14
Four letters picked without replacement from {v: 5, k: 1, j: 2, n: 3, e: 2, u: 7}. What is prob of sequence vjju?
7/11628
Three letters picked without replacement from vvfvvvvvvvvv. What is prob of sequence fff?
0
What is prob of sequence sfmd when four letters picked without replacement from xxxmdmmxxxxxxmsdf?
1/7140
Two letters picked without replacement from wvwtvdvdxwwtvx. Give prob of sequence xv.
4/91
Three letters picked without replacement from {w: 18, j: 1}. What is prob of sequence jww?
1/19
Two letters picked without replacement from {l: 1, u: 5, y: 1, k: 4}. Give prob of sequence ul.
1/22
What is prob of sequence ssss when four letters picked without replacement from sssssss?
1
Two letters picked without replacement from {b: 1, x: 2, r: 1, k: 1}. Give prob of sequence bk.
1/20
What is prob of sequence vwpd when four letters picked without replacement from qppvwppqd?
1/756
Four letters picked without replacement from ucukujjujuffjju. What is prob of sequence ucfj?
1/546
Three letters picked without replacement from {v: 2, k: 1, o: 2, j: 1, i: 6, b: 6}. Give prob of sequence obo.
1/408
Two letters picked without replacement from {f: 4, q: 8, k: 5}. What is prob of sequence kf?
5/68
Four letters picked without replacement from fzffzfzzfzzf. Give prob of sequence ffzz.
5/66
What is prob of sequence ruhk when four letters picked without replacement from {k: 1, u: 3, h: 1, r: 2}?
1/140
Two letters picked without replacement from {u: 10}. Give prob of sequence uu.
1
Four letters picked without replacement from ppuppupppu. What is prob of sequence ppup?
1/8
What is prob of sequence kp when two letters picked without replacement from kfkkppkfkkkffkkffk?
10/153
Two letters picked without replacement from allnlnnnpnlnynpnnn. What is prob of sequence lp?
4/153
Calculate prob of sequence octo when four letters picked without replacement from {q: 4, z: 1, r: 2, o: 5, t: 3, c: 5}.
5/1938
Four letters picked without replacement from {m: 1, u: 1, o: 2, z: 6, d: 3}. What is prob of sequence zodo?
3/1430
Two letters picked without replacement from {u: 3, y: 1, b: 3, z: 4}. Give prob of sequence bz.
6/55
What is prob of sequence oo when two letters picked without replacement from oooin?
3/10
Four letters picked without replacement from uukdununkd. Give prob of sequence dknu.
2/315
Three letters picked without replacement from jqqqjjqrmuqquwrwjjw. What is prob of sequence wrr?
1/969
Two letters picked without replacement from {g: 2, w: 2, n: 5, y: 3}. Give prob of sequence yg.
1/22
What is prob of sequence yrr when three letters picked without replacement from {r: 9, y: 5}?
15/91
What is prob of sequence sms when three letters picked without replacement from sssssmsmssss?
3/22
Two letters picked without replacement from abaab. What is prob of sequence aa?
3/10
Calculate prob of sequence cxxc when four letters picked without replacement from ccxexnnxe.
1/252
Two letters picked without replacement from {w: 5, l: 8}. Give prob of sequence wl.
10/39
What is prob of sequence ae when two letters picked without replacement from ajjakzjejjza?
1/44
Three letters picked without replacement from vvwvvwvvvvv. Give prob of sequence vwv.
8/55
Two letters picked without replacement from {v: 3, k: 2}. What is prob of sequence kv?
3/10
Calculate prob of sequence tta when three letters picked without replacement from aacaactctaaca.
7/858
Three letters picked without replacement from {p: 11, e: 2}. What is prob of sequence epp?
5/39
Four letters picked without replacement from {l: 1, p: 1, s: 4, m: 4, y: 6, u: 2}. Give prob of sequence lyuu.
1/6120
Calculate prob of sequence fn when two letters picked without replacement from fnffnfff.
3/14
Four letters picked without replacement from ebeeeebeebezzb. What is prob of sequence ebez?
8/429
Calculate prob of sequence nvv when three letters picked without replacement from {n: 4, v: 15}.
140/969
What is prob of sequence pxm when three letters picked without replacement from {p: 1, w: 2, x: 1, m: 4}?
1/84
What is prob of sequence vtpz when four letters picked without replacement from {d: 2, t: 3, c: 2, z: 4, p: 1, v: 2}?
1/1001
Three letters picked without replacement from {v: 1, n: 1, q: 1, j: 1, h: 1, b: 2}. What is prob of sequence vbb?
1/105
Two letters picked without replacement from {f: 3, z: 3, m: 1, d: 2, i: 2, t: 1}. Give prob


t i be (-3)/3 + (10 - 1). Suppose 3*u - 87 = 2*q, -2*u + 3*q - i*q + 39 = 0. Calculate the greatest common divisor of u and 297.
27
Suppose 6*h = r + h - 4, 5*r = 4*h + 20. Suppose r*s = 20 + 92. Calculate the highest common factor of s and 4.
4
Suppose 3*k + 221 = -4*h, -278 = 7*h - 2*h + 2*k. Let u be 2/(2/(-5) + h/(-90)). What is the highest common divisor of u and 9?
9
Let b(d) = -120*d + 1. Let z(w) = -119*w + 1. Let x(c) = 6*b(c) - 5*z(c). Let r be x(-1). Calculate the greatest common factor of 18 and r.
18
Let s(m) be the second derivative of m**3/6 - 6*m**2 + 6*m. Let h be s(14). Suppose 5*k = h*k + 9. Calculate the highest common factor of 33 and k.
3
Let i(d) = 3*d + 9*d - 1 - d - 3*d. Let v be i(3). Calculate the highest common factor of v and 46.
23
Let a(n) = -n**3 + 18*n**2 + 173*n + 42. Let d be a(24). What is the greatest common factor of d and 36?
18
Suppose u + m = 16, -12*u + 14*u - m = 26. What is the highest common factor of u and 64?
2
Let k be (51/(-6) - -9)*20. Calculate the greatest common divisor of 265 and k.
5
Let f(m) = -3*m - 18. Let g be f(-9). Let p be ((-1)/4)/((-3)/12). Calculate the highest common factor of p and g.
1
Let x = -16 + 36. Let m be 11 + (1 - 0) + 0. Let c = x - m. Calculate the highest common factor of 64 and c.
8
Suppose -44 = -0*y - 2*y. Let q be -2 + 2 - -1*4. Suppose f - 3*f + 4*d + 38 = 0, -24 = -q*f - 5*d. Calculate the greatest common divisor of f and y.
11
Let b be ((-72)/(-10))/((-176)/1672 - (-48)/95). Let m = 3 - 2. Let z be m/(1*(-1)/(-6)). Calculate the greatest common divisor of z and b.
6
Suppose 7*a + 552 = 11*a. What is the greatest common factor of 6 and a?
6
Suppose -3*r + 98 = -x, 5*r + x = -0*x + 166. Let n(q) = q**3 - 8*q**2 + 8*q + 4. Let f be n(7). What is the highest common factor of r and f?
11
Let b = 486 - 341. Let i = 219 - b. Calculate the greatest common divisor of 111 and i.
37
Let y be (-2)/(-30) - 112816/(-660). Calculate the highest common factor of y and 18.
9
Let r = -72 - -77. Calculate the highest common factor of r and 20.
5
Let b be ((-1)/(-2))/(2/156). Let z = 2484 + -2172. What is the greatest common divisor of z and b?
39
Let c be (-2 + (1 - -2))*-43. Let b = 20 - c. Calculate the highest common divisor of 7 and b.
7
Suppose f = -2*t + 2*f, 0 = -f. Suppose t = 6*j - 3*j - 126. What is the greatest common divisor of j and 28?
14
Let u be ((6 - 5) + 0)/(3/84). Calculate the greatest common divisor of u and 4.
4
Suppose c - 12 = -5*k + 11, 5*k = 2*c + 14. Suppose 3*r - k*p + 3 - 6 = 0, 4*r + 5*p - 35 = 0. Calculate the greatest common factor of r and 15.
5
Let m be ((-10)/6)/(1/(-3)). Let t = -11 + m. Let h be 3 + 3/(-3 - t). What is the highest common divisor of 12 and h?
4
Let s(q) = -6*q**2 + 65*q + 45. Let x be s(11). What is the greatest common factor of x and 289?
17
Let l(y) = 23*y**2 + 2*y + 1. Let p be l(-1). Let x = 38 - p. Let w(m) = -8*m. Let v be w(-5). Calculate the highest common factor of v and x.
8
Suppose -3*l + 120 = -0*l. Calculate the highest common factor of l and 20.
20
Let c = 18 + 3. Calculate the highest common divisor of 63 and c.
21
Suppose 0 = z + 3060 - 3533. What is the highest common factor of 88 and z?
11
Let w(d) = 35*d + 4. Let p be w(4). Calculate the greatest common factor of p and 18.
18
Let f be (9 + -5)/4 + 31. Calculate the highest common divisor of f and 4.
4
Let p = 180 + -108. Let k be (2/(-3))/(-2*3/p). What is the highest common factor of k and 4?
4
Suppose -2*n = 3*t - 577, -n = -63*t + 66*t - 281. What is the highest common factor of n and 370?
74
Let m be 4/(-176)*4 + 4226/22. Calculate the highest common divisor of 864 and m.
96
Let j be 0 - (1 + (-9)/3). Let s(g) = 7*g**2 + j - g**3 + 2*g**3 + 4*g - 6. Let m be s(-6). What is the highest common divisor of 32 and m?
8
Let w = 35 - 32. Let s be ((-36)/(-6))/(w/40). Let a = -48 + s. What is the highest common divisor of 8 and a?
8
Let c = -3442 - -3634. Suppose 72 = -u + 4*u. What is the highest common divisor of c and u?
24
Let h(v) = v**3 - 4*v**2 + 5*v - 2. Let s be h(5). Let x = -2201 - -2217. What is the greatest common factor of x and s?
16
Let w(g) = -g**3 - 3*g**2 - g - 15. Let c be w(-4). Calculate the greatest common divisor of 15 and c.
5
Let m(u) = -u**3 + 4*u**2 + u - 2. Let y be m(3). Suppose -4*k + 278 = 3*t, -11*k = -3*t - 6*k + 260. Calculate the greatest common divisor of y and t.
10
Suppose -5*i + 80 = 5*a, -2*i - 18 + 28 = 0. Calculate the greatest common factor of a and 297.
11
Let b = -267 + 277. Calculate the highest common divisor of b and 16.
2
Let u be (-5 - 54/(-10))/(1/945). Suppose 42 = -2*b + u. Calculate the greatest common factor of b and 42.
42
Suppose 7*z - 3*z - 44 = 0. Let d = z - 5. What is the greatest common divisor of 12 and d?
6
Suppose m + 5*k - 20 = -4*m, 4*k = -5*m + 16. Suppose 4*z + 4 = -m. Let c be z/(-1) + -2 + 5. What is the greatest common factor of 6 and c?
2
Let y = 585 + -567. What is the greatest common divisor of 90 and y?
18
Suppose -3*u + 6*u - 24 = 0. Suppose 5*i + 4*p + 78 = 0, 0 = i - 2*i - 4*p - 22. Let g = i + 18. Calculate the greatest common divisor of u and g.
4
Suppose 63*g = 69*g - 3132. What is the highest common divisor of g and 58?
58
Let y be (-12 + 29)/(-2*1/(-2)). What is the greatest common divisor of 7 and y?
1
Let y be 2*(-15)/(-10) + -3. Suppose 3*o = -y*o - 15, 5*a + 4*o - 320 = 0. What is the highest common divisor of a and 102?
34
Let w(l) = l**3 - 5*l**2 + 4. Let v be w(5). Let r(h) = -h**2 + 4*h + 2. Let k be r(7). Let x = 23 + k. What is the greatest common factor of v and x?
4
Let t(c) = -2*c - 7. Let b be t(-6). Suppose b*w + 36 = 3*n, -3*n = -w + n - 14. Let o = 4 - w. Calculate the greatest common divisor of 70 and o.
10
Suppose -6*n - 2*a + 88 = -2*n, 0 = -n + 5*a. Let w = -66 + 50. Let l be 12/w + 43/4. Calculate the highest common divisor of n and l.
10
Let h = 2 - -4. Let j = -6 - -28. Suppose 5*g = 5*w + 130, 5*w + j = 2*g - 18. What is the greatest common factor of h and g?
6
Suppose -29*j + 50*j = 1386. Let d(i) = i**2 - 3*i - 6. Let q be d(-4). What is the highest common factor of q and j?
22
Suppose -4*j - 4*m = -338 - 478, j = m + 202. Calculate the highest common divisor of 319 and j.
29
Let p be (0 + 3)*(1 - 530/(-6)). Let t = p - 175. Calculate the highest common factor of t and 62.
31
Let k(h) = -11*h - 3. Let a be k(-2). Let c(d) = d**3 + 8*d**2 + 7*d + 6. Let y be c(-7). Suppose w = -y + a. Calculate the highest common divisor of 26 and w.
13
Let v(q) = -q**3 + 12*q**2 + 12*q + 18. Let l be v(13). Suppose l*h = h - 268. Let b = 137 + h. What is the greatest common factor of 10 and b?
10
Suppose -o = 4*o + 5. Let p be 24*o/(-8)*10*1. Calculate the greatest common factor of 24 and p.
6
Let p be -4 - (1560/(-2 + -2) - 2). Calculate the highest common factor of 2 and p.
2
Suppose -4*l + 2*o - 5*o = -40, -12 = 3*o. Suppose 8 = 2*t - 0. Suppose -z + 9 = -t*v, z = 3*z - v - 25. Calculate the greatest common factor of z and l.
13
Suppose 4*d = -0 + 40. Suppose -r + 199 = 4*f - 140, 339 = r - 2*f. Suppose 12*m - 141 - r = 0. Calculate the greatest common factor of m and d.
10
Let t be 3 + (1/(-3))/(17/51). Calculate the highest common divisor of 128 and t.
2
Suppose -5*i = -20, 4*z - 2000 - 1620 = -5*i. Calculate the greatest common divisor of z and 36.
36
Suppose 3*p = 5*t - 90, t - 3*p + 10 = 40. Suppose -4*h = -7*i + 9*i - 18, -3*i = 5*h - 30. Calculate the highest common divisor of t and i.
15
Let u(a) = -a**3 + 3*a**2 + 3*a - 4. Let i = 20 + -17. Let b be u(i). Suppose 0 = -h + 4, -g + b*h = 3*g - 8. What is the highest common divisor of 7 and g?
7
Let u(o) = -o**3 + 10*o**2 - 7*o - 19. Let n be u(9). Let z be ((-1274)/(-13))/(3 + n). Calculate the greatest common divisor of 7 and z.
7
Suppose -5*a - b + 265 + 7 = 0, 0 = -4*a + b + 214. Calculate the greatest common factor of 18 and a.
18
Let h be (2 + 42/(-12))/(6/(-400)). What is the greatest common factor of 60 and h?
20
Suppose -19*d = 4*d - 391. Suppose 0 = d*p - 15*p - 12. What is the greatest common divisor of p and 6?
6
Suppose 9*j = 4*j + 20. Let t be j/(-10) - 6314/(-35). Let r(l) = -l**2 + 30*l - 164. Let v be r(20). What is the greatest common divisor of t and v?
36
Let s be -116*(2 - (-91)/(-28


 the third root of 1484 to the nearest integer?
11
What is the square root of 147931 to the nearest integer?
385
What is the third root of 68695 to the nearest integer?
41
What is 9805 to the power of 1/2, to the nearest integer?
99
What is 8267 to the power of 1/2, to the nearest integer?
91
What is 72117 to the power of 1/4, to the nearest integer?
16
What is the seventh root of 53270 to the nearest integer?
5
What is the cube root of 10653 to the nearest integer?
22
What is 11369 to the power of 1/2, to the nearest integer?
107
What is 1000 to the power of 1/10, to the nearest integer?
2
What is 553 to the power of 1/2, to the nearest integer?
24
What is 22924 to the power of 1/2, to the nearest integer?
151
What is the cube root of 62752 to the nearest integer?
40
What is 1162 to the power of 1/3, to the nearest integer?
11
What is 1835 to the power of 1/6, to the nearest integer?
3
What is 7673 to the power of 1/2, to the nearest integer?
88
What is the square root of 15795 to the nearest integer?
126
What is the square root of 872 to the nearest integer?
30
What is the sixth root of 2175 to the nearest integer?
4
What is the square root of 8964 to the nearest integer?
95
What is 1629 to the power of 1/2, to the nearest integer?
40
What is 40996 to the power of 1/9, to the nearest integer?
3
What is 25122 to the power of 1/2, to the nearest integer?
158
What is 1171 to the power of 1/2, to the nearest integer?
34
What is 19853 to the power of 1/10, to the nearest integer?
3
What is 14710 to the power of 1/7, to the nearest integer?
4
What is 1570 to the power of 1/2, to the nearest integer?
40
What is 134 to the power of 1/9, to the nearest integer?
2
What is the cube root of 34272 to the nearest integer?
32
What is 9491 to the power of 1/4, to the nearest integer?
10
What is the fourth root of 9111 to the nearest integer?
10
What is the square root of 236 to the nearest integer?
15
What is 1285 to the power of 1/2, to the nearest integer?
36
What is 1767 to the power of 1/3, to the nearest integer?
12
What is the third root of 12633 to the nearest integer?
23
What is 13328 to the power of 1/2, to the nearest integer?
115
What is the third root of 54280 to the nearest integer?
38
What is the square root of 67535 to the nearest integer?
260
What is 1188 to the power of 1/2, to the nearest integer?
34
What is the cube root of 15750 to the nearest integer?
25
What is 688 to the power of 1/4, to the nearest integer?
5
What is 8038 to the power of 1/7, to the nearest integer?
4
What is the third root of 91796 to the nearest integer?
45
What is the square root of 121797 to the nearest integer?
349
What is 1798 to the power of 1/9, to the nearest integer?
2
What is 35341 to the power of 1/10, to the nearest integer?
3
What is the third root of 48290 to the nearest integer?
36
What is 388 to the power of 1/2, to the nearest integer?
20
What is 2148 to the power of 1/2, to the nearest integer?
46
What is the square root of 3125 to the nearest integer?
56
What is the seventh root of 8381 to the nearest integer?
4
What is 25778 to the power of 1/3, to the nearest integer?
30
What is the square root of 34 to the nearest integer?
6
What is 314 to the power of 1/2, to the nearest integer?
18
What is the square root of 44387 to the nearest integer?
211
What is the tenth root of 31791 to the nearest integer?
3
What is the third root of 3244 to the nearest integer?
15
What is 676 to the power of 1/2, to the nearest integer?
26
What is 16292 to the power of 1/9, to the nearest integer?
3
What is 703 to the power of 1/3, to the nearest integer?
9
What is the fifth root of 1926 to the nearest integer?
5
What is the third root of 6262 to the nearest integer?
18
What is 32603 to the power of 1/10, to the nearest integer?
3
What is 969 to the power of 1/8, to the nearest integer?
2
What is 743 to the power of 1/4, to the nearest integer?
5
What is the third root of 13214 to the nearest integer?
24
What is 12577 to the power of 1/3, to the nearest integer?
23
What is the cube root of 736 to the nearest integer?
9
What is 1346 to the power of 1/8, to the nearest integer?
2
What is 292 to the power of 1/2, to the nearest integer?
17
What is 15332 to the power of 1/7, to the nearest integer?
4
What is the square root of 2660 to the nearest integer?
52
What is 643 to the power of 1/2, to the nearest integer?
25
What is the third root of 22876 to the nearest integer?
28
What is the third root of 43934 to the nearest integer?
35
What is the cube root of 42711 to the nearest integer?
35
What is 76144 to the power of 1/2, to the nearest integer?
276
What is the sixth root of 28051 to the nearest integer?
6
What is 24366 to the power of 1/2, to the nearest integer?
156
What is 9941 to the power of 1/3, to the nearest integer?
22
What is 1930 to the power of 1/7, to the nearest integer?
3
What is 1069 to the power of 1/4, to the nearest integer?
6
What is the cube root of 3966 to the nearest integer?
16
What is 9214 to the power of 1/2, to the nearest integer?
96
What is the sixth root of 4290 to the nearest integer?
4
What is 196 to the power of 1/2, to the nearest integer?
14
What is 11442 to the power of 1/7, to the nearest integer?
4
What is the cube root of 784 to the nearest integer?
9
What is the tenth root of 683 to the nearest integer?
2
What is the cube root of 5468 to the nearest integer?
18
What is the third root of 2646 to the nearest integer?
14
What is 679 to the power of 1/2, to the nearest integer?
26
What is 68261 to the power of 1/2, to the nearest integer?
261
What is the ninth root of 48979 to the nearest integer?
3
What is 3625 to the power of 1/2, to the nearest integer?
60
What is the cube root of 1487 to the nearest integer?
11
What is the square root of 1130 to the nearest integer?
34
What is the ninth root of 38790 to the nearest integer?
3
What is 6832 to the power of 1/5, to the nearest integer?
6
What is 6354 to the power of 1/2, to the nearest integer?
80
What is the square root of 497 to the nearest integer?
22
What is the third root of 69201 to the nearest integer?
41
What is the ninth root of 5763 to the nearest integer?
3
What is the tenth root of 7499 to the nearest integer?
2
What is 1766 to the power of 1/3, to the nearest integer?
12
What is 32787 to the power of 1/2, to the nearest integer?
181
What is 3452 to the power of 1/2, to the nearest integer?
59
What is the square root of 12681 to the nearest integer?
113
What is the fourth root of 2072 to the nearest integer?
7
What is 1026 to the power of 1/2, to the nearest integer?
32
What is the square root of 13828 to the nearest integer?
118
What is the cube root of 40449 to the nearest integer?
34
What is the cube root of 15968 to the nearest integer?
25
What is the square root of 51417 to the nearest integer?
227
What is the fifth root of 52399 to the nearest integer?
9
What is the cube root of 16175 to the nearest integer?
25
What is the cube root of 689 to the nearest integer?
9
What is 2284 to the power of 1/8, to the nearest integer?
3
What is the tenth root of 41989 to the nearest integer?
3
What is 6722 to the power of 1/2, to the nearest integer?
82
What is the eighth root of 14773 to the nearest integer?
3
What is the third root of 361 to the nearest integer?
7
What is 3006 to the power of 1/2, to the nearest integer?
55
What is the square root of 8625 to the nearest integer?
93
What is the seventh root of 1628 to the nearest integer?
3
What is the third root of 56066 to the nearest integer?
38
What is 1405 to the power of 1/2, to the nearest integer?
37
What is 13444 to the power of 1/9, to the nearest integer?
3
What is 22168 to the power of 1/2, to the nearest integer?
149
What is the eighth root of 8170 to the nearest integer?
3
What is the tenth root of 6555 to the nearest integer?
2
What is the third root of 773 to the nearest integer?
9
What is 1209 to the power of 1/7, to the nearest integer?
3
What is the cube root of 5575 to the nearest integer?
18
What is the fourth root of 6470 to the nearest integer?
9
What is the third root of 1130 to the nearest integer?
10
What is 379 to the power of 1/2, to the nearest integer?
19
What is 9602 to the power of 1/6, to t


 0 + (-2 - 1 + 1)*(2*t**2 + 0*t + 0*t) + 5 - 5 - t**2 - 2*t**2 + 3*t**2 - 2*t**2 - t - 2*t**2 - 6*t**2 + 7*t**2.
-6*t**2 - t
Expand (-82*w**4 - 9*w - 8*w + 16*w)*(0*w - w + 3*w).
-164*w**5 - 2*w**2
Expand (-3 + 1 - 2)*(-39*a - 11 - 38*a + 78*a + 0*a - 2*a + 4*a - 2*a + 2*a + a + (0 + 0 + 2)*(2*a - 2*a - a)).
-8*a + 44
Expand (5*o**3 + o**3 - 4*o**3)*(-2 + 0 + 1) - 108556 + 108556 + 411*o**3.
409*o**3
Expand (-232 + 232 + 76*f**2)*(3*f**2 + 1 - 1).
228*f**4
Expand (3*m**3 - 5*m**3 + 6*m**3)*(16 - 51 - 17).
-208*m**3
Expand (3 + 2 - 3)*(0 + h - 3 + 1 + (20*h - 122*h + 9*h)*(2 + 1 - 4)).
188*h - 4
Expand (-z + 2*z - 3*z)*(101*z**2 - 199*z**2 + 4*z**3 + 1 + 99*z**2).
-8*z**4 - 2*z**3 - 2*z
Expand (0 - 3 + 2)*(3*n**2 + 2 - 2) - 4*n - n**2 + 3*n**2 - 10*n.
-n**2 - 14*n
Expand (3*y + y - 6*y)*(1 + 0 - 2 + (2 + 0 - 3)*(-2 + 6 - 1) + 3 + 0 - 5 - 10 - 23 + 1).
76*y
Expand w**4 - 12*w + 12*w + (-3 + 4 - 2)*(w + 3*w + 29*w)*(w**2 + 3*w - 3*w)*(2 - 2*w - 2).
67*w**4
Expand -3*d + 2*d - d + (2*d + d - d)*(28 - 57 + 9) + 25*d - 7*d + d.
-23*d
Expand (847 - 353*w + 836 - 1683)*(w**3 + 2*w**3 - w**3).
-706*w**4
Expand w**4 - 4 + 4 + (-6*w**3 + 5*w**3 + 2*w**3)*(-3*w + w + 3*w) + 6 - 5 - 47*w**4 + 0.
-45*w**4 + 1
Expand (0 + 2 + 0)*(137 - 121 - 83 + (-4 + 4 + 1)*(3 + 1 - 2))*(-3*m + 5*m - 3*m).
130*m
Expand -j**3 + 2*j - 2*j + (-j - j**2 + j)*(-17 + 17 + 7*j).
-8*j**3
Expand (-p - 3*p + 3*p)*(-4*p + 2*p + p)*(5 - 3 + 0)*(3*p - 4*p - p).
-4*p**3
Expand (-142*r**3 - 1 + 2174*r - r**4 - 2174*r)*(0*r + r + r).
-2*r**5 - 284*r**4 - 2*r
Expand (3 + 4 - 5)*(-3*n + 0*n + 4*n) + (3*n - 1 + 1)*(8 - 14 - 7).
-37*n
Expand (-4*z**3 + 9*z**2 - 9*z**2)*(16 - 3 + 36)*((-z - 3*z + 6*z)*(-3*z + 4*z + 0*z) + 0*z**2 + 4*z**2 - 3*z**2).
-588*z**5
Expand (13*o + 41 - 41)*((-4 + 3 - 1)*(o + 0*o - 2*o) - 2*o - 3*o + 0*o).
-39*o**2
Expand (f + 1 - 1)*(-3*f**2 - f**2 + 22*f**2) - 16*f**3 + 4*f**3 + 7*f**3.
13*f**3
Expand (5 + 3 - 3)*(3*v - 2*v - 2*v) + 2*v - 2*v - 2*v - 4*v + 2*v + 3*v + (-2 + 2 - 2)*(-3*v + 5*v - 4*v).
-2*v
Expand -2*t + t + 2*t + (0*t + 0*t - 2*t)*(212 + 411 - 755) - 2*t + 2*t - 2*t + (-4 + 3 + 2)*(2*t - 3*t + 2*t) - 6*t + 2*t + 2*t.
262*t
Expand (j**2 - 4*j + 4*j)*(-2*j + 2*j**3 + 2*j) + (2*j**3 - j + j)*(j**2 - 6 + 6) + 69 - 69 + 2*j**5 - 2*j**4.
6*j**5 - 2*j**4
Expand (0*v + 3*v - v)*(2 - 2 + 2*v**2)*(-444*v - 478*v + 965*v).
172*v**4
Expand (3*u**2 - 9*u**2 - 2*u**2 + (-3 + 2 + 4)*(u**2 - 4*u**2 + 4*u**2) + u**2 + 0*u**2 + 0*u**2)*(-u + 4*u - 5*u).
8*u**3
Expand (10*o + 8*o - 5 - 19*o)*(2*o - o - 4*o)*(-4*o**3 - o**3 + 2*o**3).
-9*o**5 - 45*o**4
Expand (5 + 0 - 3)*(5*a - 2*a - a)*(0 + 1 + 1) + a + 0*a + 16*a - 42*a + 106*a - 44*a + (-2 + 1 - 1)*(3*a - 2*a - 3*a).
49*a
Expand (-v**3 + 0*v**3 + 2*v**3)*(4*v**2 + 0*v**2 - 5*v**2 + (-v**2 + v**2 + 5*v**2)*(-3 + 4 - 2) + 4*v**2 + 2*v**2 + 12*v**2).
12*v**5
Expand (7 + 14 + 13 + 9)*(26 - 27*q**3 - 26)*(4 + 1 - 2).
-3483*q**3
Expand -3*y**3 - y**3 + 0*y**3 + (-2*y**2 - 4*y**2 + 2*y**2)*(4*y - 2*y - 4*y) + 3*y**3 + 0 + 0 + 2*y**3 + 0*y**3 - 3*y**3.
6*y**3
Expand (10 + 2 - 5*g - 11)*(-g**2 - g**2 + 4*g**2)*(6*g**2 + 0*g**2 + 0*g**2).
-60*g**5 + 12*g**4
Expand ((3*c + c - 3*c)*(c**4 + 2*c**4 + c**4) - 2*c**5 + 1 - 1)*(-44 + 22 + 449).
854*c**5
Expand (-3 - 2*s + 3)*(0 - 3 + 0) + 5*s + 30*s - 54*s.
-13*s
Expand (-151*c - 1751*c + 826*c)*(2*c**2 + 0*c**2 + 0*c**2) + (-2*c - 3 + 3)*(2*c**2 + 0*c**2 - 3*c**2) + c**3 + 0*c + 0*c + 2 + c**3 - 2.
-2148*c**3
Expand (82*w + w**4 - 84*w + 0*w**4)*(6 + 17 - 13).
10*w**4 - 20*w
Expand -2*j**3 + j**3 + 2*j**3 + (-3*j**2 - 2*j**2 + 4*j**2)*(-5*j + 5*j - 2*j) + 273*j**3 + 137047*j - 137047*j.
276*j**3
Expand (0 - 1 + 2)*(2*l - 2*l - 3*l**2)*(-32*l + 12 - 12).
96*l**3
Expand (3*d + 0*d - 6*d)*((2 + 2 - 2)*(-4 + 1 + 4) + 0 - 1 + 4 - 5 - 10 - 5).
45*d
Expand (1 - 2 + 0)*(8 + 3 + 8)*(-2*g + g + 2*g).
-19*g
Expand (5*q**2 - 23 + 23)*(-2*q + 1 - 1) + (2*q**2 - 5*q**2 + 2*q**2)*(3*q + 0*q - 2*q).
-11*q**3
Expand (7*c - 8 - 9*c - 4)*(-2*c + 5*c - 2*c).
-2*c**2 - 12*c
Expand (-44*w + 25*w - 27*w)*(-2*w + 2*w - w + 2*w + 0*w - w + (-2 - 2*w + 2)*(2 - 1 + 1))*(-2*w**2 + 5*w**2 - 5*w**2).
-368*w**4
Expand (18*o + 10*o + 15*o)*(-4*o**2 + 2*o**2 - o**2)*(-3*o + o - 2*o).
516*o**4
Expand (6*q**3 + 2*q**3 - 16*q**3)*(59*q - 59*q - 25*q**2).
200*q**5
Expand (8*r + 11*r - r)*(8*r - 11*r + 11*r + 18*r).
468*r**2
Expand -4*s + 7*s + 7*s + 2*s - 4*s + 3*s + (-12 + 9 + 9)*(3 - s - 3).
5*s
Expand (u + 1 - 1)*(2 - 1 - 3) + 0*u + 0*u - u - 18*u + 2*u - 80*u.
-99*u
Expand -3*k**3 + k**2 + 0*k**3 + 5*k**3 + (-k + 1 - 1)*(-192 + 46*k**2 + 192).
-44*k**3 + k**2
Expand (-2*h + 3*h + 12*h)*(-4*h + 0*h + 0*h) - 4 + 3 + 6*h**2 - 4*h**2 + (-2*h + 0*h + h)*(3*h + 2*h - 3*h).
-52*h**2 - 1
Expand (0*f + 3*f - 2*f + (-2*f + 2*f - f)*(-1 - 2 + 1) - 5*f + 4*f + 2*f)*(-14*f + 8*f - 12*f).
-72*f**2
Expand (-3 + 8 - 1)*((2*v**5 - 5*v**5 + 0*v**5)*(2 + 3 - 7) + 28*v**5 + v**2 - 17*v**5 + 8*v**5).
100*v**5 + 4*v**2
Expand (-24 + 24 - 4*v - 4 - 2*v + 4 + (3 - 4 + 3)*(2*v - v + v) + 4*v - 4*v + v)*(-v**2 + 0*v + 0*v).
v**3
Expand (5*g**4 - 3*g**4 + 2*g**4)*(-5*g - 2 - 2*g + 9*g)*(8 + 13 + 21).
336*g**5 - 336*g**4
Expand 3*o - 4*o**5 - 3*o + (-20*o**2 + 30*o**4 + 20*o**2)*(-2 - 2*o + 0 - o).
-94*o**5 - 60*o**4
Expand -102 - 2*y**3 + 102 + (-7 + 3 + 2)*(3*y**3 + 8*y**3 - 4*y**3).
-16*y**3
Expand (176*i - 188*i + 172*i)*(2 - 2*i - 2 - 2*i + 2*i + i + (-2*i + 2 - 2)*(2 - 2 - 1)).
160*i**2
Expand -c - 5*c + 2*c + (0 + 4 - 2)*(-5*c + 2*c + 2*c) + (-109 + 40 - 85)*(-c + 0*c + 0*c).
148*c
Expand (0 + 0 + c)*(4 + 0 - 5) + (2 + 5 - 5)*(-6 + 0 + 4)*(14 - 17*c - 14).
67*c
Expand (-o**2 - 2*o**2 + 2*o**2)*(o - o**3 - o) + 0*o**4 + 2*o**5 + 0*o**4 - 11*o**5 - 18*o**5 + 14*o**5 - 26*o**4 + 26*o**4 + 5*o**5.
-7*o**5
Expand 522*t**5 - 45 - 523*t**5 + 2 + (-1 + 1 + 2*t**2)*(-2*t**3 - 2*t**3 + 5*t**3) + 0*t**5 - t**5 + 2*t**5.
2*t**5 - 43
Expand (-u**2 + 4 - 4)*((0 + 5 - 7)*(-5 + 3 + 4) + (-3 + 0 + 2)*(1 + 3 - 2) - 3 + 5 - 3 + (0 + 3 - 1)*(-3 + 5 + 3)).
-3*u**2
Expand (-5 + 2 + 1)*(t**4 + t**4 - 4*t**4) + ((-2*t**4 + 2*t**4 + t**4)*(7 - 2 - 3) - 99*t**4 - 112 + 112)*(6 - 2 - 2)*(2 + 1 - 4).
198*t**4
Expand 3*x**4 + x**4 - 5*x**4 + (2*x**4 - 3*x**4 + 3*x**4)*(28 + 21 - 51) + x**4 - 5*x**4 + 2*x**4 - 5*x**4 - x**4 + 4*x**4 - 5*x**4 + 0*x**4 + 4*x**4.
-10*x**4
Expand -2*b**4 + b**4 - b**4 + (-3 + 3 + 3)*(1 - 2 + 4)*(0*b**4 - b**4 - b**4).
-20*b**4
Expand (5*w - 6*w + 5*w)*(2 - 1 + 1)*(-63 + 90*w + 63).
720*w**2
Expand (1 - 1 - f)*(2*f**4 - 3*f**2 + 3*f**2) + (1 - 1 - 2*f)*(f**3 + 0*f**3 + 17*f**3)*(-f + f - f).
34*f**5
Expand 11*o**4 + 7*o**4 - 12*o**4 + (-2 + 2 + 2)*(0*o + o + o)*(-2*o**2 + 2*o**2 + 5*o**3).
26*o**4
Expand (-23*g + 33*g**2 + 23*g)*(2*g**3 - 4*g**3 + 0*g**3) + (-3 - 2*g + 3)*(-4*g**4 + 4*g**4 - 2*g**4).
-62*g**5
Expand (-v - 2*v - 7*v)*(2*v - 2*v - v**2)*(-2*v**2 - v**2 + v**2).
-20*v**5
Expand 3*j**3 - j**3 - j**3 + (-1 - 3 + 7)*(-7*j**3 - 3*j**3 + 4*j**3) + (5*j**2 - 3*j**2 + 0*j**2)*(j + 0*j - 2*j) + j**3 + 2*j**3 - 4*j**3.
-20*j**3
Expand ((2*q + 1 - 1)*(-2*q**2 + 5*q**2 - q**2) + 3*q**3 - 2*q**3 - 2*q**3 + 12*q**3 - 3*q**3 + 23*q**3)*(3*q - 3*q + q**2).
35*q**5
Expand (43*k**3 - 17*k**3 - 20*k**3)*(-k**2 + 3 - 3).
-6*k**5
Expand (3*c**3 + c**3 - 5*c**3)*(0*c**2 + 5*c**2 - 3*c**2 - 5).
-2*c**5 + 5*c**3
Expand (-2*i - i - 4*i)*(2 - 4 + 3) + (5 + 8 - 1)*(0*i - i + 2*i).
5*i
Expand (7*q - 20*q - 21*q)*(5*q**3 - 5*q**3 - 2*q**3).
68*q**4
Expand (-2*d + 10*d + 0*d)*(-1 + 1 - 3)*(-d + 5*d + 8*d).
-288*d**2
Expand -2*g**3 - 3*g**3 + 4*g**3 + (5*g**2 - 2*g**2 - 2*g**2 + (104 - 104 + 26*g)*(4*g - 3*g + 4*g))*(3*g - g + 0*g + 1).
261*g**3 + 131*g**2
Expand (-584 + 206 + 246)*(-4 + 3 + 2)*(2*t**4 + 3 - 3).
-264*t**4
Expand (6 - 21*f - 6)*(-14 - f**2 + 7 + 5).
21*f**3 + 42*f
Expand (0*j**2 + 3*j**2 - 5*j**2)*(-2 + 2 + 2*j + (-j - j + 0*j)*(2 - 2 - 1) - 16*j + 3*j + 12*j).
-6*j**3
Expand (-1 - 2 - 2)*(-12*i - 54*i + i).
325*i
Expand (0 + 4 - 3)*(0*k**3 - 2*k**4 + 0*k**3) - 3*k**2 - 2*k**4 + 3*k**2 + (k**2 - 2*k**2 + 3*k**2)*(0*k - 2*k**2 + 0*k)*(3 + 0 - 1).
-12*k**4
Expand (6*x + 6*x + 19*x)*(-5*x - x + 5*x).
-31*x**2
Expand (22*i**2 + 6*i**2 + 3*i**2)*(6 - 1 - 3 - 3 + 1 + 0 + (2 + 3 - 6)*(-3 + 4 + 0) - 2 + 0 + 0 + 1 - 2 + 2).
-62*i**2
Expand


om jjjajssjjja?
7/165
Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {b: 4, u: 6, t: 7, i: 1}.
4/153
Calculate prob of picking 2 h and 1 u when three letters picked without replacement from {y: 1, h: 5, u: 5}.
10/33
Calculate prob of picking 4 t when four letters picked without replacement from {r: 5, p: 8, k: 2, t: 4}.
1/3876
Calculate prob of picking 2 a and 1 i when three letters picked without replacement from fjfpfxijafffxja.
1/455
What is prob of picking 1 g and 1 a when two letters picked without replacement from {g: 2, a: 5}?
10/21
Four letters picked without replacement from nnqgmmqfnqqgfqqm. What is prob of picking 1 g and 3 m?
1/910
Calculate prob of picking 2 p and 1 i when three letters picked without replacement from {i: 4, x: 3, c: 10, p: 2}.
4/969
What is prob of picking 1 n and 1 t when two letters picked without replacement from hthhutctpnth?
2/33
What is prob of picking 1 f, 1 c, and 1 k when three letters picked without replacement from {c: 1, f: 2, n: 1, k: 3, r: 3}?
1/20
Two letters picked without replacement from zgnzzsznsnnnnzsssnnn. What is prob of picking 2 z?
1/19
Three letters picked without replacement from {u: 4, s: 2, b: 1, x: 1, f: 1, y: 3}. Give prob of picking 3 f.
0
Calculate prob of picking 2 s when two letters picked without replacement from eeeseowvs.
1/36
Calculate prob of picking 2 i when two letters picked without replacement from {i: 4}.
1
Three letters picked without replacement from rrirrrrdijkjiij. Give prob of picking 1 i, 1 j, and 1 r.
72/455
Two letters picked without replacement from xkjkxz. What is prob of picking 1 x and 1 k?
4/15
Three letters picked without replacement from {e: 2, z: 5, t: 1, c: 2, x: 8}. What is prob of picking 1 t, 1 z, and 1 x?
5/102
Two letters picked without replacement from doc. What is prob of picking 1 o and 1 d?
1/3
Two letters picked without replacement from lovo. Give prob of picking 2 o.
1/6
Four letters picked without replacement from {c: 1, z: 5, h: 9, m: 3}. What is prob of picking 1 h, 2 m, and 1 c?
3/340
Two letters picked without replacement from ttrv. What is prob of picking 1 t and 1 v?
1/3
Two letters picked without replacement from gxooxxggxggxx. Give prob of picking 2 g.
5/39
Calculate prob of picking 1 i and 2 v when three letters picked without replacement from ivpiivwi.
1/14
Calculate prob of picking 1 i, 1 w, and 2 r when four letters picked without replacement from rrvbrrvrrwvvwvi.
2/91
Three letters picked without replacement from {g: 6, j: 6}. What is prob of picking 3 j?
1/11
Four letters picked without replacement from jxjjujxxujjujujxjjjj. Give prob of picking 4 u.
1/4845
Two letters picked without replacement from wswwwravs. What is prob of picking 1 w and 1 s?
2/9
Two letters picked without replacement from {f: 7, z: 4, c: 7}. Give prob of picking 1 c and 1 z.
28/153
Three letters picked without replacement from {z: 2, g: 1, a: 1, d: 2}. Give prob of picking 2 d and 1 a.
1/20
Three letters picked without replacement from {z: 4, a: 3, i: 1, m: 7, w: 2}. Give prob of picking 2 z and 1 w.
3/170
Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, f: 18}.
1/190
Three letters picked without replacement from wwwowowwwwwwwwowoww. Give prob of picking 3 w.
455/969
Two letters picked without replacement from {f: 1, j: 1, v: 4, q: 4, r: 1}. Give prob of picking 1 f and 1 r.
1/55
Four letters picked without replacement from rqjrlcil. Give prob of picking 1 q and 3 c.
0
Calculate prob of picking 2 v and 1 k when three letters picked without replacement from kpvv.
1/4
What is prob of picking 1 f and 2 q when three letters picked without replacement from {r: 1, f: 3, q: 4}?
9/28
What is prob of picking 1 c and 2 i when three letters picked without replacement from {w: 1, i: 2, j: 3, c: 10, s: 3}?
10/969
Four letters picked without replacement from dqdddqdd. Give prob of picking 1 q and 3 d.
4/7
Calculate prob of picking 1 e, 1 h, and 1 x when three letters picked without replacement from {i: 5, p: 1, h: 1, x: 3, e: 3}.
9/286
Calculate prob of picking 1 h, 1 a, and 1 w when three letters picked without replacement from {u: 2, h: 13, w: 1, a: 3}.
13/323
Three letters picked without replacement from qtnptsutpptnnnt. What is prob of picking 1 s, 1 n, and 1 t?
4/91
What is prob of picking 1 h and 1 b when two letters picked without replacement from vqvkqbbkvjbvvjjhvv?
1/51
Three letters picked without replacement from munauco. Give prob of picking 1 m, 1 o, and 1 u.
2/35
Four letters picked without replacement from {u: 1, i: 2, r: 1, f: 1, d: 2, l: 1}. Give prob of picking 1 f, 2 i, and 1 l.
1/70
Four letters picked without replacement from veremedmvarervr. Give prob of picking 2 r and 2 e.
12/455
What is prob of picking 1 c and 2 x when three letters picked without replacement from {x: 5, c: 3, h: 3}?
2/11
Calculate prob of picking 2 r when two letters picked without replacement from {d: 4, v: 10, r: 5}.
10/171
Calculate prob of picking 2 f and 2 a when four letters picked without replacement from {f: 3, i: 2, d: 7, a: 3}.
3/455
Four letters picked without replacement from ngceceggceqeecg. What is prob of picking 1 e, 1 n, and 2 g?
2/91
Two letters picked without replacement from {t: 6, s: 4, v: 2}. What is prob of picking 1 s and 1 v?
4/33
Two letters picked without replacement from ingczinx. What is prob of picking 1 n and 1 i?
1/7
What is prob of picking 3 i and 1 d when four letters picked without replacement from {d: 1, s: 4, i: 5, c: 10}?
2/969
Two letters picked without replacement from {q: 4, x: 4, t: 1, a: 2}. Give prob of picking 1 a and 1 x.
8/55
Calculate prob of picking 2 u and 2 v when four letters picked without replacement from vzzzvozveueeezzoeueu.
3/1615
Three letters picked without replacement from tantltlialtttnitxttt. Give prob of picking 1 l and 2 a.
1/380
Four letters picked without replacement from {n: 10}. What is prob of picking 4 n?
1
Calculate prob of picking 3 n when three letters picked without replacement from {n: 12, x: 7}.
220/969
Calculate prob of picking 2 b and 2 e when four letters picked without replacement from bbebebbe.
3/7
What is prob of picking 1 n and 1 w when two letters picked without replacement from wwnnnnxnnn?
14/45
Three letters picked without replacement from oppppppopopp. What is prob of picking 1 p and 2 o?
27/220
Calculate prob of picking 3 e when three letters picked without replacement from {e: 10}.
1
Calculate prob of picking 1 g and 1 v when two letters picked without replacement from gvv.
2/3
Four letters picked without replacement from {s: 1, d: 3, c: 1, i: 6, t: 1}. What is prob of picking 3 d and 1 s?
1/495
Two letters picked without replacement from hkkkdjhkkl. What is prob of picking 1 j and 1 k?
1/9
Two letters picked without replacement from {v: 2, c: 1, d: 1, p: 2, s: 1}. Give prob of picking 1 v and 1 p.
4/21
Two letters picked without replacement from ikb. What is prob of picking 1 k and 1 i?
1/3
Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {s: 3, z: 1, q: 2, g: 1}.
2/7
Calculate prob of picking 4 l when four letters picked without replacement from {n: 7, l: 6}.
3/143
Calculate prob of picking 3 z when three letters picked without replacement from szozoczzzczoczzsoz.
7/68
Two letters picked without replacement from ftvvtjftj. Give prob of picking 2 f.
1/36
Two letters picked without replacement from ccxcccccccccc. What is prob of picking 1 c and 1 x?
2/13
What is prob of picking 2 e when two letters picked without replacement from yeyyyqeq?
1/28
Three letters picked without replacement from {a: 4, i: 1, p: 1, y: 2, c: 1}. Give prob of picking 2 y and 1 i.
1/84
What is prob of picking 2 m and 1 y when three letters picked without replacement from ymmihihmisimyc?
3/91
What is prob of picking 1 g and 1 o when two letters picked without replacement from gknnork?
1/21
Calculate prob of picking 2 x and 1 r when three letters picked without replacement from {r: 1, y: 2, x: 4, m: 4}.
2/55
What is prob of picking 1 a and 1 l when two letters picked without replacement from aclahkj?
2/21
Calculate prob of picking 2 f and 1 v when three letters picked without replacement from {v: 2,


 5
Let t be 6/4*(-8)/16. Let b = 115 - 73. Sort t, 0.3, 2, b in decreasing order.
b, 2, 0.3, t
Let t be -3*(1/1 - 2). Let l = 852 - 865. Sort l, t, 1 in decreasing order.
t, 1, l
Let s be (416/468)/((-4)/(-18)). Sort s, -7, -2 in ascending order.
-7, -2, s
Let b = 13 - 9. Put 0, -6, -5, b in ascending order.
-6, -5, 0, b
Suppose -113*o + 46*o - 402 = 0. Sort o, -5, 12 in decreasing order.
12, -5, o
Let a = 1.137 - 1.15. Let g = a - -7.013. Sort 5, 3, g in decreasing order.
g, 5, 3
Let q = -1.46 - -0.96. Sort -0.7, q, 0.7.
-0.7, q, 0.7
Let a = 71.87 - 73. Let z = a - -1.1. Let c = z - 0.07. Put -1/6, c, 3 in decreasing order.
3, c, -1/6
Let k be 104/715 + 24/(-44). Put 7/5, k, 5 in descending order.
5, 7/5, k
Let i = -909 - -908. Suppose -m + 60 = -6*m. Put m, -2, 1, i in increasing order.
m, -2, i, 1
Let a = -45 - -65. Let h = 17 - a. Sort 3, h, 4 in decreasing order.
4, 3, h
Let f(m) = -m - 16. Let j be f(-20). Let a(i) = i**2 + 3. Let u be a(3). Suppose 4*n = n - u. Put 2, j, n in increasing order.
n, 2, j
Suppose 26*x = 16*x - 30. Put x, -5, 3 in increasing order.
-5, x, 3
Suppose 0 = -3*m - 0*m - 9. Let b(c) = 6*c + 1. Let g be b(m). Let k = -21 - g. Put -3, -5, k in ascending order.
-5, k, -3
Let b(w) = -w**3 + w**2 - 2*w + 3. Let f = -34 - -36. Let a be b(f). Sort -4, a, -1, -2 in increasing order.
a, -4, -2, -1
Let w = 49 - 42. Suppose w*o = o + 30. Sort 1, 2, o.
1, 2, o
Let t = -17055/13 - -1312. Put -24, t, 0.2 in ascending order.
-24, t, 0.2
Let t = 7/6 + -1/2. Let n = 7.9 - -2.1. Let j = n + -9.9. Sort t, 4, j.
j, t, 4
Let l(z) = -z - 5. Let j be l(-6). Let s be (5 + -1)/((-4)/14). Let b be 2/5 - s/(-10). Put b, j, 5 in descending order.
5, j, b
Let o be 5*7/(56/8). Put -3/7, 2/235, -2, o in increasing order.
-2, -3/7, 2/235, o
Let l = -1308 + 1308. Put l, -38, 5 in descending order.
5, l, -38
Let k = -0.35 - 0.05. Let b be ((-6)/8)/(396/96). Let a = -3 + -1. Sort a, b, k in ascending order.
a, k, b
Suppose 146 = 4*m + 10. Suppose -m = -4*t - 18. Put 2, 2/7, 0.3, t in descending order.
t, 2, 0.3, 2/7
Let g = 53 + -57. Sort g, 16, 3, 5 in increasing order.
g, 3, 5, 16
Let a(o) = 0 + 4 + o - 3*o. Let r be a(3). Suppose 4*c - 5*z = -2*z - 2, 3*c + 2*z - 24 = 0. Sort r, c, 3.
r, 3, c
Let h(u) = 2*u + 15. Suppose 5*t = 36 - 11. Suppose -30 = t*d + 10. Let j be h(d). Put 2, 1, j in descending order.
2, 1, j
Let h be (-1 + 2)*(-5 - -1 - 3). Sort 28, h, -4 in descending order.
28, -4, h
Let m = 321 + -315. Sort -2, -1, 1, m in ascending order.
-2, -1, 1, m
Let r(a) = -a**3 - 7*a**2 - 16*a - 16. Let d be r(-4). Put 16, d, -16, 4 in decreasing order.
16, 4, d, -16
Let f = -56 + 337/6. Put 0.2, f, 3/5, 1 in decreasing order.
1, 3/5, 0.2, f
Let g be 232/58 - (34/10 + 1). Suppose -9*k - 25 = -4*k. Sort 20, k, g in descending order.
20, g, k
Let z = 5 - 5.4. Let i = -0.7 - 2.4. Let n = i + 0.1. Sort z, -1/2, n in decreasing order.
z, -1/2, n
Let c(y) = y**3 + 8*y**2 + 7*y + 2. Let r be c(-7). Suppose -10 = -5*d + 5*g, d - 5*d + 5*g + 5 = 0. Suppose 15 = 5*q + d*a, -2*a + 3*a = 2*q. Sort r, q, -5.
-5, q, r
Suppose 4*m - 5 = 3. Suppose -m*r - 2 = -r. Let j(f) = f**2 + 9*f + 19. Let l be j(-6). Put l, 4, r in ascending order.
r, l, 4
Let d be (-188)/308 + (-4)/(-22). Let v(t) = -4*t**2 + 4*t - 4. Let k be v(1). Sort k, d, -0.4 in decreasing order.
-0.4, d, k
Let n be (-1)/19*2*36/36. Put -0.5, 2/9, -0.03, n in increasing order.
-0.5, n, -0.03, 2/9
Suppose -14*p = -16*p + 8. Suppose -5*q - p = -2*q - a, -3*q = 4*a - 16. Sort q, -4, -3 in decreasing order.
q, -3, -4
Let c = -3.67 + 4.67. Sort 2/143, c, 1/7.
2/143, 1/7, c
Let h(q) = -q**3 + 11*q**2 - 20*q + 17. Let x = -58 - -67. Let m be h(x). Put 0, m, -0.4, -0.1 in ascending order.
m, -0.4, -0.1, 0
Let q = -5.5 + 5. Let t = -167 - -160. Sort 3, t, q.
t, q, 3
Let s(u) = u**2 + 11*u + 10. Let d be s(-6). Let a = -15 - d. Sort 3, a, 6 in descending order.
6, a, 3
Let a = -0.2 - -0.3. Let w = 2189/4 + -547. Sort 1, w, a in descending order.
1, w, a
Let i = -68 - -67.5. Let j = -0.18 - 3.82. Let l = -4.06 - j. Sort l, -0.3, i in ascending order.
i, -0.3, l
Let g = -6 - -2. Let o = -13467 + 13467.3. Sort 2/13, g, 9, o.
g, 2/13, o, 9
Suppose 4*m + 22 = -r, -2*r + 4 = 3*m - 7*m. Suppose -2*o + 16 = 2*o. Put 5, o, m, -2 in decreasing order.
5, o, -2, m
Let p be 19/10 + 4/(-10). Let w = 5541/4 + -1385. Put -0.4, w, p in decreasing order.
p, w, -0.4
Let m = -19/12 + 1/12. Put -8, 2/11, m in descending order.
2/11, m, -8
Suppose -i - 5 + 3 = 0, 2*u = -3*i. Let t(z) be the first derivative of z**3/3 - 2*z**2 + 2*z + 23. Let o be t(u). Sort o, -4, 9 in decreasing order.
9, o, -4
Let i = 516 + -515. Sort i, 4, -1, 15 in decreasing order.
15, 4, i, -1
Let j = 721.1 + -721. Sort -0.5, j, 0.5, -4 in ascending order.
-4, -0.5, j, 0.5
Let z = -369 + 1106/3. Sort 4, z, 0.2 in increasing order.
z, 0.2, 4
Suppose -4*i - 2*t + 0*t + 60 = 0, 0 = -4*t - 16. Suppose 5*n + 2*p = -i, -4*n = 2*p + 10 + 2. Put 7, n, 0, -1 in decreasing order.
7, 0, -1, n
Suppose -6*q = -2*q + 20. Put -6, q, 1 in descending order.
1, q, -6
Let x = 13.7 + -13.9. Sort 1, -3, -0.01, x in ascending order.
-3, x, -0.01, 1
Let c = -5.872 + 0.872. Put -23, c, 5, 0.1 in decreasing order.
5, 0.1, c, -23
Suppose 4*z + 4 = 5*b, -2*z + z - 1 = -3*b. Suppose -5*o + 2 + 18 = b. Put -5, o, 1, -3 in ascending order.
-5, -3, 1, o
Let b(w) = -w**3 - 10*w**2 - 10. Let y be b(-10). Let t = -12 - y. Let g be (-40)/8 + 0/t. Put -1/3, -2, g in increasing order.
g, -2, -1/3
Suppose -3*p + 5*d - 37 + 12 = 0, -5*p - 2*d = -10. Put p, 0.4, -3/5 in increasing order.
-3/5, p, 0.4
Let y(r) = -2*r**2 + 13*r - 1. Let p be y(10). Let u = p - -67. Sort 15, u, 0 in increasing order.
u, 0, 15
Let o = 1.4 - -0.6. Let i = 1079 + -5392/5. Put o, 5/3, i, -0.2 in ascending order.
-0.2, i, 5/3, o
Let f(r) = -r**3 + 7*r**2 + 3*r - 24. Let p be f(7). Let q(y) = y + 5. Let z be q(-3). Suppose z*m + 3*m - 15 = 0. Sort p, 4, m in ascending order.
p, m, 4
Suppose 0 = 25*x - 49*x - 720. Put 4, x, -1 in decreasing order.
4, -1, x
Suppose 6*b - 2*b + 56 = 2*t, -4*b = -4*t + 64. Let g = b + 16. Suppose -3*x - 5 = -0*x - n, n = x + 3. Sort g, -3, x in descending order.
g, x, -3
Let l = -40.6 + 40.1. Put l, 0.5, 0.1, 1 in descending order.
1, 0.5, 0.1, l
Let f be 4/(-10) - 51/(-90). Let n be (4/10)/(4/((-40)/(-1))). Sort -3, n, 3, f in decreasing order.
n, 3, f, -3
Let g(x) = -3*x + 8. Let b be g(8). Let y be (9/(-108))/((-14)/b). Suppose 20*z + 14 = 22*z. Sort -0.1, z, y.
-0.1, y, z
Let p = 1 + -1. Let u(o) = -5*o**2 - 14*o + 5. Let q be u(-3). Put q, p, 5 in ascending order.
p, q, 5
Suppose -4*c + 0*c + 12 = 0. Suppose v - c*a = -v, -v = -3*a. Suppose -5*r = 2*x + 19 + 9, 2*x + 4 = r. Put 3, v, r in decreasing order.
3, v, r
Let l = 378.86 - 382. Let p = 0.14 + l. Let u = 3.3 + -3. Sort u, p, 2 in decreasing order.
2, u, p
Let h = 2.58 + 3.42. Let q = -3.7 + -0.3. Put q, h, -2 in ascending order.
q, -2, h
Let i = 2.982 - -0.398. Let u = 0.54 + i. Let g = -0.08 - u. Put g, 1, 2 in ascending order.
g, 1, 2
Let a = 146/87 - 10/29. Let d = 0.56 + -0.76. Put d, a, -0.3, -2/25 in increasing order.
-0.3, d, -2/25, a
Let s = -29/5 - -329/55. Sort s, -11, -2 in descending order.
s, -2, -11
Let c = 1/220 + 437/660. Let u = -4 - -1. Let o be 1/u - 16/(-21). Put o, c, 2 in descending order.
2, c, o
Let i be (-1 + 0)/(6/2). Let l = -28 - -85/3. Put i, l, 1/6, -2 in decreasing order.
l, 1/6, i, -2
Let d = 2.024 - 0.024. Let m(p) = -p + 3. Let n be m(5). Let s be (6/(-7))/(n/(-14)). Put d, -5, s in ascending order.
s, -5, d
Suppose -1614*k = -1611*k + 24. Put 5, k, -2, -5 in descending order.
5, -2, -5, k
Let s = -3.2 - -3. Let q = -12828 + 744003/58. Let f = 4/29 - q. Sort 0, f, s in ascending order.
s, 0, f
Let x(n) = -n**2 + 49*n - 332. Let u be x(8). Let h = -9 + 9. Put 9, u, -3, h in descending order.
9, h, -3, u
Suppose 5*w + 30 = -3*q, 3*w - 2*q = -0*q + 1. Sort w, 5, 2, -6 in decreasing order.
5, 2, w, -6
Suppose 4 = 5*t - 11. Let b be -2 + -1 + 0 - -1. Let a be (-6)/b - 2/1. Put t, a, -2 in descending order.
t, a, -2
Let r = -0.285 - 0.005. Let m = r + 0.44. Let i = m + -0.35. Sort -4, i, -1 in decreasing order.
i, -1, -4
Let c = -0.009 + -31.991. Let b = -33 - c. Let s = -7 + 10. Put b, s, -4 in in


3 - 3).
84*n**4
Expand 15*z + 12*z**2 - 15*z + 0*z**2 - 2*z**2 + z**2 + (-3*z + 2*z + 3*z)*(-5*z + 4*z + 0*z) + 2*z**2 - 4*z**2 + 0*z**2 + z**2 - 4*z**2 - z**2.
3*z**2
Expand (-3*c - 1 + 1)*(116*c - 149*c + 114*c + (-2*c + 1 - 1)*(-1 - 5 + 4)).
-255*c**2
Expand (2 + 0 - 4)*(2*t - 5*t + 2*t) + 27*t + 17 + 90*t - 20.
119*t - 3
Expand (-4 - 30 + 1)*(-m - 2*m + m)*((-4 - 2 + 4)*(-2*m + m - m) - 2 - 2*m + 2).
132*m**2
Expand (-22*l - 3*l**2 + 22*l)*(3*l - 2*l + l).
-6*l**3
Expand (-10*c**2 + 42 - 79 + 48)*(-c**3 - 3*c + 3*c).
10*c**5 - 11*c**3
Expand (5*o**2 + o**4 - 5*o**2)*(3 - 3 + 3*o) + o**5 - 3*o**3 + 10*o**3 + 0*o**2 - 5*o**2.
4*o**5 + 7*o**3 - 5*o**2
Expand (-960*q + 47*q**3 + 960*q)*(-2*q + 6*q - 4 - 5*q).
-47*q**4 - 188*q**3
Expand (0*b**3 + 2*b**3 + 0*b**3)*(2*b - 6*b + 2*b) + 5*b**4 - 2*b**4 - b**4 + (-b**3 + 0*b**3 + 0*b**3)*(-4*b + 3*b + 14*b).
-15*b**4
Expand (-h - h + 3*h)*(-3 + 5 - 39) + 3*h - 5*h + 3*h.
-36*h
Expand (0 - 1 - 1)*(-3 + 5 - 1)*(-121 + 121 - 73*s**4).
146*s**4
Expand -2*w**2 + 8*w**3 + 3*w**5 - 1433*w**4 + 1433*w**4 - 8*w + 0*w**5 + 0*w**5 + w**5 + (-4*w + 5*w - 3*w)*(-w**4 + 2*w**4 - 2*w**4) + 5*w**5 - 2*w**5 - w**5.
8*w**5 + 8*w**3 - 2*w**2 - 8*w
Expand (669 + 59*q**5 - 669)*(-2 + 3 + 2).
177*q**5
Expand (-31*f - 26*f + 58*f - 96)*(-3 - 2*f**4 + 3).
-2*f**5 + 192*f**4
Expand (-11*d + 11 - 11)*(0*d**3 - 4*d**3 + 3*d**3 + 0*d - 2*d**3 + 0*d + (d**2 + 4*d - 4*d)*(d - 4*d + d) - 3 + d**3 + 3).
44*d**4
Expand (0 - 1 + 6*t - 3*t)*(-21*t**2 - 38*t**2 + 20*t**2).
-117*t**3 + 39*t**2
Expand -11 + 2*r**3 - 289*r**2 + 289*r**2 - 2*r**3 - 2*r**2 + 2*r**2 + (-r + 2*r**2 + r)*(-12 - 6*r + 12).
-12*r**3 - 11
Expand 67*d**2 + 111*d**2 + 234*d**2 + (-1 + d + 1)*(0*d - 2*d + 4*d).
414*d**2
Expand 3*i - 2*i + i - i**2 - 4*i**2 + i**2 + i**2 + (4 - 4 - 2*i)*(-1 + 1 + 2*i) + 12*i**2 + 4*i**2 + 5*i**2.
14*i**2 + 2*i
Expand ((-4 + 1 + 0)*(-g**2 - g**2 + 3*g**2) - g**2 + 3*g**2 + 2*g**2)*(1 - 2 - 1) - g**2 + 4*g**2 + 0*g**2.
g**2
Expand (3*z**2 + 0 + 0)*(0*z + 4*z**2 + 0*z) + (0*z**2 + 0*z**2 + 2*z**2)*(-3*z**2 + z - z).
6*z**4
Expand -7 + 7 - 9*f**2 + (6*f**2 - 6*f**2 + 14*f**2)*(1 + 4 - 3).
19*f**2
Expand (-i**2 - 4*i**2 + 2*i**2)*(i + 2*i + 0*i) + (0*i - i - 2*i)*(-4 + 5 - 2)*(-2*i**2 + 2*i**2 - 2*i**2).
-15*i**3
Expand -l - l + l + (-2 + 2 - 2*l)*(-5 + 2 + 1) - 3 - l + 3 + 0*l + 3*l - 2*l + 3*l - 3 + 3 + (-2 + 2 + 1)*(-l + 13*l + l).
19*l
Expand 0*f**3 + f**4 + 0*f**3 + (5*f - 3*f - 3*f)*(-3*f**3 + 0*f**3 + 2*f**3) - 3*f**2 + 3*f**2 - 3*f**4 + (-36*f + 8*f + 9*f)*(-f + 5*f**3 + f).
-96*f**4
Expand (2 - 1 + 0)*(-1 + 82 + 36)*(6*l**2 - l**2 - 4*l**2).
117*l**2
Expand (-3 + 1 - 1)*(3*u**3 - 2*u**3 - 2*u**3)*((u - 2*u + 0*u)*(6 + 7 - 10) - 2*u + 30 - 30).
-15*u**4
Expand 789*c**4 - 13*c**5 - 789*c**4 + (0*c + 0*c - c)*(-c**4 + 2*c**4 - 3*c**4) - 10*c**5 + 18*c**3 - 18*c**3 - c**5 + c - c.
-22*c**5
Expand (-75*s + 19*s**2 + 75*s)*(s + 0*s - 5*s) + (s + s - s)*(0 + s**2 + 0).
-75*s**3
Expand (-l**3 + 4*l**3 - l**3)*(2*l**2 - 27 - 6*l**2 + 2*l**2).
-4*l**5 - 54*l**3
Expand (2*o**3 + 0*o**3 + 0*o**3)*(3*o + 0*o - 2*o) - 147*o**4 + 55*o**4 + 8*o**4 + (-o**3 + o - o)*(-1 + 1 - 2*o) + 0*o**4 + 2*o**4 - 4*o**4.
-82*o**4
Expand (-6637 + 13266 - 109*o**2 - 6629 - 12*o**3)*(-2*o**2 + 3*o**2 - 2*o**2).
12*o**5 + 109*o**4
Expand (-2 - 1345*g - 1119*g + 2303*g)*(g**4 - 2*g**4 + 2*g**4).
-161*g**5 - 2*g**4
Expand 4*o**2 - 2*o**2 - 4*o**2 + (3*o - o + 7*o + 0*o + 4*o - 2*o + (3 + 2 - 4)*(-o - o + o))*(-8*o + o - 15*o).
-222*o**2
Expand (3*h**2 + h**2 - 3*h**2)*(8 + 4 - 3)*(-8*h + 9*h + 7*h).
72*h**3
Expand (2*q**2 - 8*q**2 + 0*q**2)*(-5*q**2 + 2*q**2 + 4*q**2) - 69*q**4 + 48*q**4 + 35*q**4.
8*q**4
Expand (-35 + 6*y + 35)*(32 + 32*y - 32)*(y + y**3 - y) + 2*y**3 - 2*y**3 - y**5.
191*y**5
Expand (2*l - 2 + 2)*(-38*l + 38*l + 4*l**2)*(2*l + 2*l - 2*l + (3 - 2 + 1)*(3*l - 3*l + 2*l) + l + 3*l - 3*l - 3*l + 12*l - 5*l).
88*l**4
Expand 239 - 239 - 19*u + (0*u + u - 2*u)*(1 + 0 - 2) + 0 + 0 - 2*u - 2*u + 1 - 1 + u - 5 + 5.
-21*u
Expand 34*c**2 - 85*c**2 + 1 + 30*c**2 + (-3*c + c + c)*(-2 + 2 - 2*c).
-19*c**2 + 1
Expand -61 + 61 + 14*y**4 + (-2 + 3 + 2)*(4*y**4 - 2*y + 2*y) + 2*y**4 - 3*y**4 + 2*y**4.
27*y**4
Expand g**5 - 2 + 2 + (-4*g + 2*g + 0*g)*(0*g**4 + 3*g**4 - 5*g**4) - 6*g**5 + 4*g**5 + g**5 - 4396*g**5 + 10437*g**5 - 4374*g**5.
1671*g**5
Expand (-2*p**2 - 2*p**2 + 6*p**2)*(-2 + 4 - 4) - 1 - 53*p + 29*p - 95*p**2 + 100*p**2.
p**2 - 24*p - 1
Expand (4 + d - 4 + (4*d - 5*d + 2*d)*(3 - 1 - 1))*(61*d**4 + 6 - 6).
122*d**5
Expand -3 + 3 + p + p + 0 + 0 + (3 + 1 + 2)*(2*p - 4*p + 4*p) + 1 - 2*p - 1 - p - 3*p + 5*p.
13*p
Expand (2*w - 4*w + 0*w)*(-6*w - 3*w + w + (-1 + 2 - 4)*(-4*w + 2*w - 3*w) + 2*w + 3 - 3 + w - 2*w + 2*w).
-20*w**2
Expand -6*f**3 - 4*f**4 + f**3 + 3*f**3 + (-2 - 1 + 6)*(-2*f + 2 - 2)*(-3*f + 2*f**3 + 3*f).
-16*f**4 - 2*f**3
Expand (-1 + 3 + 3)*(5 - 4 + 2)*(4*l - 3*l - 3*l).
-30*l
Expand (-54*x + 172*x + 71*x)*(2 - x**3 - 2).
-189*x**4
Expand b**3 - 2*b**4 - b**3 + (-2 + 1 + 3)*(-2*b**4 - 557*b**2 - 3*b + 278*b**2 + 281*b**2) + 3*b**4 + 0*b**4 - b**4.
-4*b**4 + 4*b**2 - 6*b
Expand (14*a + 24*a - a)*(-2 + 2 - 2*a).
-74*a**2
Expand (2 - 1 + 1)*(3*s**3 - 2*s + 4*s**3 + 4*s + (2 - 2*s**2 - 2)*(375 - 375 + 147*s)).
-574*s**3 + 4*s
Expand (1 + 5 - 3)*(47*q - 496*q + 44*q + 1).
-1215*q + 3
Expand (8 - 23 - 6)*(47*f - 81*f + 61*f)*(0 + 2 - 4)*(2 - 2 - 1).
-1134*f
Expand (-2 + 1 - 1)*(-2*w - 3*w + 3*w)*(-212 - 20 - 65) + (-2 + 1 + 2)*(-2*w - 5 + 5).
-1190*w
Expand (-3 - 3 + h + 4)*(38 - 53 - 21).
-36*h + 72
Expand ((3 - 3 + 2)*(-5 + 4 + 2) + (1 - 1 + 1)*(-5 + 1 + 10))*(-o + 3*o - 4*o)*(-1 + 3 + 0).
-32*o
Expand (c - 8*c + 5*c + (-3*c + 3*c - 2*c)*(2 - 1 + 3))*((2 - 2 + 1)*(2 + 3 - 3) + 1 - 3 + 5)*(c - 1 + 1).
-50*c**2
Expand -53 + 53 - 18*u + (-3*u + 5*u - 3*u)*(4 - 3 - 2).
-17*u
Expand (-a**2 + 15*a**2 + 15*a**2)*(2*a**2 + 4*a - 4*a).
58*a**4
Expand (1718*d**3 + 23437 - 23437 - 5596*d**3)*(-4 + 4 + 2).
-7756*d**3
Expand (7 - 4 + 1 + (1 - 2 - 1)*(4 - 6 + 1))*(6*v**4 + 5*v**4 - 4*v**4 + (-4*v**2 + 4*v**2 + v**2)*(-4*v**2 + 3*v**2 + 0*v**2)).
36*v**4
Expand (-4 + 0 + 3)*(1 - g**2 - 1) - 31*g**2 + 38*g - 43*g**2 + 75*g**2 - 1 - 2 + g**2 + 1.
3*g**2 + 38*g - 2
Expand (-10*t + 12*t - 6 + 0*t)*(14*t**2 - 54*t**2 - 51*t**2).
-182*t**3 + 546*t**2
Expand m - m + 2*m**3 + (-3 + 5 - 1)*(3*m**3 + 2*m**3 - 4*m**3) + 2*m**3 - 4*m**3 + 3*m**3 - 2*m**3 + 10*m**3 - 6*m**3 + 20.
6*m**3 + 20
Expand (-2*u + 0*u + 3*u)*(-1 + 1 - 4)*(4*u + 13*u - 9*u).
-32*u**2
Expand (2 - 1 - 3)*(-4 + 3 + 3)*(-10*o + 8 - 8) + 0*o + 3*o + 2*o.
45*o
Expand -2*f + 0*f - 3*f + (3 - 3 + 2)*(-2*f - 2*f + 3*f).
-7*f
Expand (16 + p - 16)*(-5*p**4 + 12 + 4*p**4 + 3*p**4).
2*p**5 + 12*p
Expand 11*s**5 - 53*s**5 - 74*s**5 + (0*s**3 + 0*s**3 + s**4)*(s + 0 + 0) + 2*s**5 + s - s + (2*s**5 - 2*s**5 + 2*s**5)*(-2 + 3 - 3).
-117*s**5
Expand (2*b**2 + 0*b**2 - b**2)*(-b**2 - 3*b**2 + 0*b**2) + b**2 + 2*b**4 - b**2 - 2*b**4 + b**4 - 6*b**4 - b**4 - 4*b**4 + 4*b**4.
-10*b**4
Expand (5*k - 5*k + k)*(4*k**2 + 3*k**2 - 6*k**2) - 43 + 49 + 390*k**3 - 432*k**3.
-41*k**3 + 6
Expand (-8*o**5 - 5*o**5 - 3*o**5)*(8 - 1 + 1).
-128*o**5
Expand (-2*q - 5 + 5 + 2*q + q - q + 3*q + 3*q - 7*q + (0 + 4 - 2)*(-5*q - q + 0*q))*(5*q - 3*q - q).
-13*q**2
Expand g**4 - 2*g**2 + 2*g**2 + 2*g**4 + 3*g**4 - 4*g**4 + g**4 - g + g + (-2*g + 3*g + 0*g)*(33*g**3 + 6*g**3 - 2*g**3) + 2*g**4 + 4*g**3 - 4*g**3.
42*g**4
Expand (-35 - 6*v**2 + 35 - 2*v)*(6*v - 32 + 32).
-36*v**3 - 12*v**2
Expand 387 - 387 + 10*c + (c - 5*c + 3*c)*(2 - 1 + 1).
8*c
Expand 11*o**5 - 15*o**5 + 5*o**5 + 4 + (-o - 2*o + 0*o)*(-8*o**4 - o**4 - 23*o**4).
97*o**5 + 4
Expand ((-5*u + 3*u + 0*u)*(1 + 2 - 2) + (-26 - 9 + 16)*(2*u + 0 + 0)*(1 - 2 + 2))*(0*u + u + u - 3 + 3 + u + (-2 + 4 + 0)*(u + 0 + 0) - 4 + 2*u + 4).
-280*u**2
Expand 1 + 2*s - 1 - 19*s - 56 + 56 + (2 - 4 + 1)*(s - s + s) - 2*s - s + s + 6*s - s - 4*s.
-19*s
Expand (17*z**4 - 14*z**4 - 50*z**4)*(2*z + 2*z - 3*z + 2).
-47*z**5 - 94*z**4
Expand (2*l + l + 3*l)*(4*l + l - 3*l + (-4 + 5 + 1)*(l + 4*l - 4*l)) - 5*l**2 + l**2 + l**2 + (3*l - 4*l + 2*l)*(-l + 3*l + 0*l).
23*l**2
Expand (2 + 0 + 1)*(91 - 16 + 6*s - 7*s).
-3*s + 225
Expand (1 - 4*c - 1)*(-2 + 2 - 2*c**2) + (-4*c**2 + 4*c**2 + c**2)*(10*c -


b + 2. Let k(p) = 9*p**3 + 2*p**2 + p + 1. Let r(d) = 5*k(d) - 3*q(d). Let l be r(-4). Suppose -4*c + l = c. Is c composite?
False
Let l(j) be the first derivative of j**4/4 - 2*j**3/3 + 4*j**2 + 3*j - 9. Is l(8) a prime number?
False
Suppose -11373 = -5*u - 538. Is u a prime number?
False
Let k(y) = 19*y**3 + 6*y**2 + 5*y - 1. Let f(m) = -19*m**3 - 7*m**2 - 6*m + 1. Let x(z) = 5*f(z) + 6*k(z). Is x(1) composite?
False
Let j(z) = -z**2 + 10*z - 5. Let v(a) = a + 1. Let k be v(5). Let b = 0 + k. Is j(b) prime?
True
Let f be 231 - ((1 - 3) + 2). Suppose -f = 2*y - 5*y. Is y a prime number?
False
Suppose 33*b = 31*b + 236. Is b prime?
False
Is 95 - (-3)/(3/2) a composite number?
False
Let l = 167 - 96. Suppose 3*g - l = q - 30, 4*q = -2*g + 32. Is g prime?
False
Let k = 160 - -3. Is k a composite number?
False
Suppose -4*f + 7*f = 4*n + 1566, -4*f + 3*n + 2095 = 0. Is f a composite number?
True
Let q(r) = 20*r**2 + 5. Let x be q(-4). Suppose 5*b = -0*b + x. Is b composite?
True
Suppose -2*w + 3*h + 3132 = 0, 4*w - 5009 - 1257 = 5*h. Is 5/20 - w/(-12) a composite number?
False
Let d(r) = r**2 - 9*r - 3. Let u be d(9). Let v be -2 + u/6*-2. Let t(w) = 154*w**2 + 1. Is t(v) composite?
True
Suppose -1155 - 999 = -4*h - 3*p, 0 = 2*h + 3*p - 1080. Suppose -4*y = h - 1621. Let c = 384 - y. Is c prime?
True
Suppose 0 = 3*w - 292 - 386. Is w prime?
False
Let b be (-45)/(1 + 2) - -2. Let a = b + 22. Is -58*a/(-12)*2 a composite number?
True
Suppose -2112 = -5*z - 257. Is z a prime number?
False
Let m(v) = 3*v + 5. Let g be m(-4). Let n be 2/7 - 600/g. Let p = n - 61. Is p prime?
False
Let n be 23*(2/(-1) + 3). Let l = 45 - n. Is l a composite number?
True
Suppose 2*t - 4 = -12. Let l(s) = -7*s**3 - 5*s**2 - 2*s. Let n be l(t). Suppose -2*y = -3*x + 289, 2*x - 2*y + n = 6*x. Is x composite?
True
Is 191/(-4)*(-4 - 0) a composite number?
False
Let v(o) = 8*o**2 + 3*o + 9. Is v(4) prime?
True
Let k = 711 - 190. Is k composite?
False
Let h(b) = 10*b - 1 + 3 - 1. Suppose 4*z - 10 = -z. Is h(z) composite?
True
Let u(y) = y**3 + 3*y**2 - 5*y - 4. Let c be u(-4). Let z(o) = -o. Let g(x) = -5*x + 10. Let l(w) = g(w) - 4*z(w). Is l(c) prime?
False
Let q = -13 + 21. Let i be q*1 + (-12)/(-4). Let k = -5 + i. Is k a composite number?
True
Let y(i) = i**3 - 6*i**2 + 7*i - 7. Let t be 4 + 0 + 1 + 0. Let o be y(t). Suppose m + 74 = 4*w, -2*w + 6*m - o*m = -32. Is w a composite number?
False
Suppose -w - 4 = 5*m - 30, -5*w - 50 = -5*m. Suppose u = m - 3. Suppose -f - 30 = -u*f. Is f a prime number?
False
Let u = 11 - 8. Is u + 48/(-3)*-1 composite?
False
Let k be (-9)/6*(-2)/1. Suppose k*d = -4*o + 22 + 20, 4*o - 2 = d. Is d prime?
False
Let w(r) = r**3 - 6*r**2 + 4*r + 7. Let t be w(5). Suppose 2*v + 121 = 477. Suppose 0 = -0*k + t*k - v. Is k prime?
True
Let t be 2/4*0/(-4). Let j(d) = d - 59. Let q be j(t). Let x = q + 156. Is x a composite number?
False
Suppose 4*y - 3725 = -y. Is y prime?
False
Suppose h - 52 = 5*f, -5*f + 2*h - 61 + 7 = 0. Suppose 5*l = 138 + 197. Let z = l + f. Is z a composite number?
True
Let x = 2 + -1. Let b(q) = q**3 - q + 1. Let s(j) = -6*j**3 + j**2 + 4*j + 118. Let f(l) = x*s(l) + 5*b(l). Is f(0) prime?
False
Suppose 0 = -v + 5*d + 94, 7*v + 4*d - 557 = 2*v. Suppose 1407 = 4*h - v. Is h prime?
True
Suppose -4*q + 0*q + 17 = 3*v, -v = -3*q + 3. Let a(u) = u + 1. Let j be a(v). Suppose 0 = j*k - 2*k - 98. Is k prime?
False
Suppose 4*b - 340 = -2*z + 6*z, 3*b = -z + 275. Suppose -d + 84 = -i, -b = -2*d + d - i. Is d prime?
False
Is (-4)/(-2) - (0 + -3 + -62) a composite number?
False
Let a(l) = 6*l**2 + 20*l - 27. Is a(-20) composite?
False
Is (-6)/8 + 460911/132 a composite number?
False
Suppose -8*l - 1437 = -11*l. Is l prime?
True
Let y(z) = 88*z + 3. Is y(11) a prime number?
True
Suppose 6 = -0*o + 2*o. Suppose -o*j = j - 572. Is j a prime number?
False
Let t = 397 - 190. Suppose -52 = 5*a - t. Is a composite?
False
Let f(w) = -7*w - 8. Let o be f(-12). Suppose -14 = -5*n + 1. Suppose d + n*d - o = 0. Is d composite?
False
Suppose -73 = -4*y + 139. Is y a prime number?
True
Let k be (-17)/(-3) - 2/3. Suppose 2*l = -k*q + 3*q - 578, q = 0. Let f = -104 - l. Is f a composite number?
True
Suppose -r = 458 - 109. Let f = -192 - r. Suppose 4*w - f = -3*k + 2*k, -4*w + k + 155 = 0. Is w prime?
False
Suppose 2*q - 823 = 5*y, q = 6 - 2. Let w = y - -245. Let n = w + -23. Is n composite?
False
Let r = -105 + 165. Let y = 97 - r. Suppose 0 = 8*h - 7*h - y. Is h composite?
False
Let c be 2/(-2) - 6/(-3). Let v = 2 - c. Is 21 + 0/v - 2 prime?
True
Is 1/((-4)/(-487)*22/88) prime?
True
Let w = 1 + 3. Is w prime?
False
Suppose -48054 = -12*t + 6*t. Is t a composite number?
False
Suppose 2*f - 2 = p, -f + 0*f - 6 = 3*p. Suppose f = 2*z - 9 + 1. Suppose 0 = 5*y + z*x - 77, 0 = -3*y + x + 59 - 23. Is y composite?
False
Let o = 11 - 10. Is 267*(o - 4/6) a composite number?
False
Suppose 3*v - 27 = -3*w, 19 + 42 = 4*v - w. Suppose 3*a - 119 = -v. Is a prime?
False
Let w(u) = 33*u**2 + 28*u - 21. Is w(-10) a prime number?
True
Let t = -55 + 171. Let l = -33 + t. Is l a composite number?
False
Let b(h) = 5*h**3 - 3*h**2 - 5*h + 1. Let w(a) = 5*a**3 - 2*a**2 - 4*a + 1. Let n(v) = 2*b(v) - 3*w(v). Is n(-2) prime?
False
Let n = 2110 + -1323. Is n prime?
True
Suppose -3*b + 265 = -0*b - 4*y, -4*b - 4*y + 316 = 0. Is b composite?
False
Let n = -6 - -18. Is 186/8*n/3 composite?
True
Let d(r) = -88*r - 4. Let w be d(-4). Suppose -s + w = 3*s. Is s a composite number?
True
Is 20/50 - (1598/(-5) - 1) prime?
False
Let m(k) = -k**3 + 2*k**2 - k + 5. Let r be (-77)/15 + 2/15. Is m(r) prime?
False
Let k(g) = 45*g**2 + 6*g - 4. Is k(5) a composite number?
False
Let n = -10 + 4. Let m = 12 + n. Suppose 3*o + 4*d - m = 0, 2*o - 22 = d - 7. Is o a composite number?
True
Suppose -3*u - 38 + 365 = 0. Suppose -4*o + u = 3*f, 2*o + 23 = f - 0*f. Is f a composite number?
False
Let n = 368 - 214. Suppose 3*c - 83 - n = 0. Is c a prime number?
True
Let r(l) = 11*l**3 - l + 1. Let t be 1/5 - (-28)/10. Is r(t) a prime number?
False
Let u(v) be the first derivative of 25*v**3/3 + v + 2. Let x be u(1). Is 3*x*2/12 composite?
False
Let v(n) = 37*n**2 - 17*n + 23. Is v(12) composite?
False
Let u(y) be the third derivative of 41*y**4/6 + y**3/3 + 3*y**2. Let v be u(2). Suppose v = 3*h - 159. Is h a composite number?
False
Suppose 0 = 5*o - 4*i - 5605, -4*o + 2*i + 1254 + 3224 = 0. Is o a composite number?
False
Suppose 3*w = 553 - 76. Is w a prime number?
False
Suppose -4*y = -5*y. Suppose 0 = 4*c - g + 5*g + 16, 3*c - 5*g + 4 = y. Is (-150)/12*(1 + c) a composite number?
True
Let q = -4 - -2. Let g = q - -5. Suppose 17 = g*y - 16. Is y a prime number?
True
Let l(j) = -j**2 - 9*j + 1. Let k be l(-7). Suppose 519 = 3*i + 3*w, 4*i - 519 = i + 3*w. Suppose -4*g = 2*n - k - 633, -5*n - i = -g. Is g composite?
False
Let s = -137 + 281. Let v = s - 73. Is v a prime number?
True
Let a(i) = -5*i. Let r be a(-1). Let z(k) = -k**2 - 4*k - 1. Let u be z(-3). Suppose 236 = -v + 5*v + u*h, 2*v + r*h = 134. Is v a prime number?
False
Let j be 6/(-12)*0/1. Suppose j = -2*p + 6*p - 220. Is p composite?
True
Suppose 0*o + 4*o = 2*g + 28, 0 = -5*o + 5*g + 45. Suppose i = -3*r + 248, -o*i - 2*r + 1396 = 221. Is i a prime number?
True
Let n(u) = -4*u**3 - 3*u**2 + 3*u + 8. Let b(i) = i**3 + i**2 - i - 3. Let a(p) = -8*b(p) - 3*n(p). Is a(2) a prime number?
False
Let i(d) be the second derivative of -d**8/6720 + d**7/315 - d**6/240 + 3*d**5/40 + d**4/12 - 3*d. Let p(b) be the third derivative of i(b). Is p(7) composite?
False
Let w = -4 - -6. Let c = -6 - -3. Is w/(-3) + (-104)/c a prime number?
False
Suppose 6*q = q. Let i(g) be the first derivative of g**2/2 + 87*g + 2. Is i(q) a prime number?
False
Let a(w) = -w + 0 - 3 + 0. Let l be a(-3). Suppose l = n - 2*n + 7. Is n a prime number?
True
Let o = -1771 + 3144. Is o prime?
True
Suppose -4*h - 8305 + 32994 = 5*s, 4*h + 24681 = 5*s. Is s prime?
True
Suppose 3*d - 5*j + 347 = 9, -4*d - 428 = -j. Let g = 269 + d. Is g a prime number?
True
Let b be -3 - -3 - (-1 + 1). Let d(t) = -t + 67. Is d(b) prime?
True
Suppose 1554 = 4*a - 506. Is a prime?
False
Let g = -1340 + 3013. Suppose f - g = -3*j, f + 662 = 2*j - 450. Is j prime?
True
Let q be (0 + 1)*(-2 + -5).


2933
What is the r'th term of -20183832, -80735312, -181654444, -322941228, -504595664, -726617752, -989007492?
-20183826*r**2 - 2*r - 4
What is the m'th term of 3324, 2487, 224, -4179, -11436, -22261?
-119*m**3 + m**2 - 7*m + 3449
What is the x'th term of -1007752, -2015508, -3023264, -4031020?
-1007756*x + 4
What is the c'th term of 3363049, 6726099, 10089149, 13452199, 16815249?
3363050*c - 1
What is the c'th term of 934828, 3739229, 8413232, 14956837, 23370044, 33652853?
934801*c**2 - 2*c + 29
What is the j'th term of 73, 221, 541, 1099, 1961, 3193?
11*j**3 + 20*j**2 + 11*j + 31
What is the h'th term of 304, 224, 114, -26?
-15*h**2 - 35*h + 354
What is the i'th term of 5971, 25785, 58809, 105043, 164487, 237141?
6605*i**2 - i - 633
What is the j'th term of 51040479, 102080957, 153121435, 204161913, 255202391, 306242869?
51040478*j + 1
What is the x'th term of -4369671, -8739131, -13108591, -17478051?
-4369460*x - 211
What is the l'th term of 131785, 263575, 395365?
131790*l - 5
What is the h'th term of 16419171, 32838340, 49257509, 65676678, 82095847, 98515016?
16419169*h + 2
What is the s'th term of 5238, 5217, 5234, 5283, 5358?
-s**3 + 25*s**2 - 89*s + 5303
What is the y'th term of -71900, -287537, -646912, -1150025, -1796876?
-71869*y**2 - 30*y - 1
What is the r'th term of -272704, -545379, -818070, -1090777, -1363500?
-8*r**2 - 272651*r - 45
What is the z'th term of -119762, -239570, -359426, -479330, -599282, -719282, -839330?
-24*z**2 - 119736*z - 2
What is the b'th term of -8505, -8770, -9497, -10920, -13273, -16790, -21705?
-39*b**3 + 3*b**2 - b - 8468
What is the h'th term of -2710057, -2710047, -2710027, -2709997, -2709957, -2709907?
5*h**2 - 5*h - 2710057
What is the f'th term of 6353, 14361, 24051, 35423, 48477?
841*f**2 + 5485*f + 27
What is the b'th term of -398859, -1595549, -3590033, -6382311, -9972383, -14360249?
-398897*b**2 + b + 37
What is the t'th term of -529020613, -1058041227, -1587061841, -2116082455, -2645103069?
-529020614*t + 1
What is the m'th term of -6432884, -6432936, -6432976, -6432998, -6432996?
m**3 - 59*m - 6432826
What is the r'th term of -5690790, -5690794, -5690798, -5690802, -5690806?
-4*r - 5690786
What is the g'th term of -28965, -52351, -75737, -99123?
-23386*g - 5579
What is the g'th term of 1120188, 2240345, 3360500, 4480653, 5600804, 6720953?
-g**2 + 1120160*g + 29
What is the t'th term of 2151407, 4302809, 6454211, 8605613, 10757015, 12908417?
2151402*t + 5
What is the i'th term of 15854024, 15853998, 15853954, 15853892, 15853812, 15853714?
-9*i**2 + i + 15854032
What is the k'th term of 71485445, 142970891, 214456337, 285941783, 357427229?
71485446*k - 1
What is the d'th term of 66961, 66952, 66943, 66934?
-9*d + 66970
What is the x'th term of 5930, 1728, -2474, -6676, -10878, -15080?
-4202*x + 10132
What is the s'th term of -1918135, -1918131, -1918127?
4*s - 1918139
What is the s'th term of 76497, 76462, 76413, 76356, 76297?
s**3 - 13*s**2 - 3*s + 76512
What is the k'th term of -1804, -3585, -5302, -6919, -8400?
6*k**3 - 4*k**2 - 1811*k + 5
What is the t'th term of 2107, 16738, 56447, 133774, 261259, 451442, 716863?
2090*t**3 - t**2 + 4*t + 14
What is the m'th term of -1692, -6229, -12798, -20589, -28792, -36597?
135*m**3 - 1826*m**2 - 4*m + 3
What is the s'th term of 19139, 76825, 172983, 307625, 480763, 692409, 942575?
2*s**3 + 19224*s**2 - 87
What is the s'th term of -181, -389, -649, -979, -1397, -1921, -2569, -3359?
-3*s**3 - 8*s**2 - 163*s - 7
What is the s'th term of 65, 268, 755, 1640, 3037, 5060, 7823?
19*s**3 + 28*s**2 - 14*s + 32
What is the x'th term of -61430, -61416, -61390, -61352, -61302, -61240?
6*x**2 - 4*x - 61432
What is the x'th term of -2297, -2284, -2267, -2246?
2*x**2 + 7*x - 2306
What is the i'th term of 20623, 20828, 21049, 21292, 21563, 21868, 22213, 22604?
i**3 + 2*i**2 + 192*i + 20428
What is the c'th term of -536357, -536324, -536265, -536180?
13*c**2 - 6*c - 536364
What is the z'th term of -66940, -129418, -191896, -254374, -316852, -379330?
-62478*z - 4462
What is the h'th term of -25768, -103124, -232100, -412732, -645056, -929108, -1264924?
-6*h**3 - 25774*h**2 + 8*h + 4
What is the p'th term of 13951, 18026, 22101, 26176, 30251, 34326?
4075*p + 9876
What is the m'th term of -13967, -24221, -34473, -44723, -54971, -65217?
m**2 - 10257*m - 3711
What is the b'th term of 347, 869, 1709, 3023, 4967, 7697?
26*b**3 + 3*b**2 + 331*b - 13
What is the i'th term of 10047946, 10047992, 10048038, 10048084, 10048130, 10048176?
46*i + 10047900
What is the k'th term of -393830352, -787660706, -1181491060, -1575321414, -1969151768?
-393830354*k + 2
What is the g'th term of 105900266, 105900268, 105900270, 105900272?
2*g + 105900264
What is the q'th term of -149607, -298108, -446621, -595152, -743707, -892292?
-q**3 - 148494*q - 1112
What is the s'th term of -173938, -348049, -522330, -696781, -871402, -1046193, -1221154?
-85*s**2 - 173856*s + 3
What is the r'th term of -99077, -98649, -98223, -97799?
-r**2 + 431*r - 99507
What is the o'th term of 1011989, 1011950, 1011911, 1011872?
-39*o + 1012028
What is the t'th term of 9909, 78195, 263539, 624471, 1219521, 2107219, 3346095?
9755*t**3 - t**2 + 4*t + 151
What is the b'th term of -370792, -1482998, -3336668, -5931796, -9268376, -13346402?
b**3 - 370738*b**2 + b - 56
What is the s'th term of 4530, 9692, 14854, 20016, 25178?
5162*s - 632
What is the q'th term of -40, -209, -760, -1885, -3776?
-32*q**3 + q**2 + 52*q - 61
What is the v'th term of -473292, -472652, -472012, -471372, -470732, -470092?
640*v - 473932
What is the r'th term of 1871, 1667, 1349, 929, 419, -169, -823, -1531?
2*r**3 - 69*r**2 - 11*r + 1949
What is the u'th term of -40725, -46204, -51683, -57162, -62641, -68120?
-5479*u - 35246
What is the o'th term of -975, -3791, -8417, -14835, -23027, -32975?
3*o**3 - 923*o**2 - 68*o + 13
What is the j'th term of -363929, -727636, -1091343, -1455050?
-363707*j - 222
What is the m'th term of 180145850, 360291699, 540437548?
180145849*m + 1
What is the f'th term of -31020, -59681, -88342, -117003, -145664?
-28661*f - 2359
What is the l'th term of 2576672, 5153345, 7730018, 10306691, 12883364?
2576673*l - 1
What is the h'th term of -14812, -59274, -133382, -237136, -370536, -533582, -726274?
-14823*h**2 + 7*h + 4
What is the v'th term of -992780, -992812, -992902, -993080, -993376, -993820, -994442?
-5*v**3 + v**2 - 992776
What is the t'th term of 1129, 6044, 18551, 42448, 81533, 139604, 220459, 327896?
633*t**3 - 2*t**2 + 490*t + 8
What is the o'th term of -1765, -3304, -4837, -6364, -7885, -9400?
3*o**2 - 1548*o - 220
What is the n'th term of 4737754, 4737768, 4737788, 4737814, 4737846, 4737884?
3*n**2 + 5*n + 4737746
What is the j'th term of -439809289, -439809291, -439809293, -439809295?
-2*j - 439809287
What is the b'th term of 959, 988, 1003, 1010, 1015?
b**3 - 13*b**2 + 61*b + 910
What is the r'th term of -9073, -9020, -8873, -8584, -8105?
8*r**3 - r**2 - 9080
What is the z'th term of 544043, 544080, 544117, 544154, 544191?
37*z + 544006
What is the k'th term of 737687, 737736, 737883, 738176, 738663, 739392?
8*k**3 + k**2 - 10*k + 737688
What is the y'th term of 3085666, 3085664, 3085662?
-2*y + 3085668
What is the c'th term of -1203, -4799, -10757, -19077, -29759?
-1181*c**2 - 53*c + 31
What is the q'th term of -47852, -47862, -47878, -47900, -47928, -47962?
-3*q**2 - q - 47848
What is the v'th term of 13504, 28050, 42596, 57142, 71688?
14546*v - 1042
What is the v'th term of -246, -312, -440, -630, -882, -1196?
-31*v**2 + 27*v - 242
What is the p'th term of -23335, -22643, -21491, -19879, -17807, -15275?
230*p**2 + 2*p - 23567
What is the g'th term of 2298, 3246, 1482, -4350, -15606, -33642, -59814?
-226*g**3 + 2530*g - 6
What is the j'th term of -1726, -969, -212, 545, 1302, 2059?
757*j - 2483
What is the z'th term of 2868, 23431, 79256, 187977, 367228?
2939*z**3 - 3*z**2 - z - 67
What is the y'th term of -14711, -20353, -25997, -31643?
-y**2 - 5639*y - 9071
What is the j'th term of -158716, -317281, -475846, -634411, -792976?
-158565*j - 151
What is the i'th term of -346, -347, -316, -241, -110, 89, 368?
2*i**3 + 4*i**2 - 27*i - 325
What is the n'th term of -42027, -168201, -378501, -672933, -1051503,


 25 = -5*p, 3*t + 4*p - 18 = 0. Let r be 0 + -4 - t/(-1). What is the tens digit of (3 + -1)/(r/(-14))?
1
Let w(f) = -12*f - 26. What is the hundreds digit of w(-18)?
1
Let r be (1/(-2))/((-6)/60). Suppose -3*l - 9 = 0, 5*z - 2*l - 20 = 3*l. Suppose u - z = 2*k, -2*u - 2*u + r*k + 7 = 0. What is the units digit of u?
3
Let v(g) = -g**2 - 9*g + 1. Let t be v(-8). Suppose -24 = -5*p - t. Suppose 0 = p*d - 6*d + 9. What is the units digit of d?
3
Suppose n = -2*n + 3*s + 24, -n - 5*s - 4 = 0. What is the units digit of n?
6
Suppose 0*h + 56 = 4*h. Suppose 3*w = -2*z + 37, -4*z - h = 2*w - 76. What is the tens digit of z?
1
Let a(l) = -2 + 0 - 3 - 1 + 3*l. What is the tens digit of a(6)?
1
Let j(u) = 3*u**2 - 4*u + 3. Suppose 3*w = -0*w + 6. What is the units digit of j(w)?
7
Suppose 4*w - 28 = -5*i, -4*w + 0*i - 4*i = -24. Suppose 8*z - 6*z = w. What is the units digit of z?
1
Let n(b) = -b**3 - 10*b**3 - b**2 - 4*b**3. What is the tens digit of n(-1)?
1
Suppose b - 3*l - 92 = -4*b, -2*b = 3*l - 20. What is the tens digit of b?
1
Let l(p) = 2*p + 2. Let s be l(-3). What is the tens digit of ((2*84)/s)/(-1)?
4
Let z(d) = d**2 + 10*d + 6. Let q be z(-10). Suppose -3*u + 2*l = -q, -3*u - 3*l + 4 = -u. Suppose u*m - 36 = -0*m. What is the units digit of m?
8
Let w be (3 - 2) + 5/1. Suppose 12 = -3*p + w*p. What is the units digit of -10*((-10)/p - -2)?
5
Let a be 2/(-8) - (-18)/8. Let u(g) = g - 5. Let y be u(6). Let f = a - y. What is the units digit of f?
1
Let j = -1 - 2. Let a = j + -5. What is the units digit of 1/(-4) + (-26)/a?
3
What is the units digit of (300/(-14))/(4/(-28))?
0
Let r(d) be the first derivative of -d**4/4 - 7*d**3/3 - 7*d**2/2 + 8*d + 1. What is the tens digit of r(-6)?
1
Suppose 38*o = 36*o + 486. What is the units digit of o?
3
Let k be 2/6 - (-42)/9. Suppose -k*r = -0*r - 55. What is the units digit of r?
1
Let v be -9*(-3)/(45/20). Let g(w) = -2*w + 2. Let j be g(-2). What is the tens digit of (-20)/v*j/(-1)?
1
Suppose -6*m + m + 3*x = -1278, -4*m + 1017 = 3*x. What is the tens digit of m?
5
Let o(r) = -r**3 - 5*r**2 - 7*r - 4. Suppose 0 = 3*d - 3*w - 6, 2*d - 4 = -3*d + 2*w. Suppose -4*a - 16 = -d. What is the units digit of o(a)?
8
What is the hundreds digit of (-3 + (2 - 4))*(-194)/5?
1
Suppose -6*b = -126 - 240. What is the units digit of b?
1
Let o(t) = -8*t**2. Let l be (-2)/(-4)*(0 + -2). Let u be o(l). What is the units digit of (u/5)/(2/(-5))?
4
Let t be (-18)/(-4)*32/2. Let d = -40 + t. What is the units digit of (d/(-10))/(3/(-15))?
6
Let a be 2/10 + (-327)/(-15). What is the units digit of (0 - (-3)/6)*a?
1
What is the hundreds digit of (4 - 4) + 1 + 298?
2
Suppose -3*o = 0, o = z + 1 + 2. Let w be (6/(-4))/(z/14). Let f = w - -2. What is the units digit of f?
9
Let g(i) = -i**3 + 5*i**2 + 6*i + 5. Let q be g(6). Suppose 0 = q*y + 4*b - 23, -32 = y - 6*y - b. What is the units digit of y?
7
Let m = -3 - -4. What is the units digit of m/(28/12 - 2)?
3
Let x(v) = -v**2 - 4*v + 4. Let a = 14 + -58. Let k be (-6)/(-15) + a/10. What is the units digit of x(k)?
4
Let m = 28 - 25. What is the units digit of m?
3
Let n be 3/(-3)*-13*9. Let d = -80 + n. Suppose -z = -5*x + 50, z - d = -2*x - 2*z. What is the units digit of x?
1
Let s(b) = -b**2 + 4*b + 7. Let r be s(5). Suppose v = -r - 8. What is the units digit of (-8)/(-20) + (-26)/v?
3
Let h be 0 - ((1 - -1) + -1). Let k be 4 - 4 - (h - 8). Suppose 0 = 5*y - 3*p - 39, p + 2*p = -3*y + k. What is the units digit of y?
6
Suppose 13 = 5*p + 5*c + 3, 0 = 3*p - 5*c - 22. Let q = p - 2. What is the units digit of q?
2
Suppose 152 = -6*w + 548. Suppose w - 184 = -3*f - 4*i, -4*f = 2*i - 144. What is the tens digit of f?
3
Let u(b) = 6*b + 2. What is the tens digit of u(3)?
2
Suppose 0 = 19*c - 14*c - 70. Suppose 8 = -m - 0*m. Let y = m + c. What is the units digit of y?
6
Let r(c) = c**2 - 10*c + 12. Let w be r(9). Suppose w*i - 5 - 7 = 0. Suppose i*o - 15 = o. What is the units digit of o?
5
Let d = 45 + -24. Suppose d = 4*c + 5*p, -p = 5*c - 0*p - 21. Suppose -5*y = -c*y - 6. What is the units digit of y?
6
Let j(i) = 7 + 2*i - 5*i + 2*i - 23 - i**3. Let o be j(0). What is the units digit of ((-8)/o)/(2/48)?
2
Let b be (-525)/6*(-16)/20. What is the tens digit of ((-48)/28)/((-4)/b)?
3
Suppose 11 = 4*d - d + 2*z, 2*d - 4 = -2*z. Suppose 5*a + 74 = d*a. What is the tens digit of a?
3
Suppose 5*d - 10 = 0, -4*p - 2*d + 348 = -2*p. What is the hundreds digit of p?
1
Suppose x = -o + 8, 5*o = 4*o + 4*x - 17. Suppose -o = -r - 2. What is the units digit of r?
1
Suppose 0 = 5*t + u + 72, -3*u = 1 + 5. Let j = -6 + t. Let r = j - -35. What is the tens digit of r?
1
Suppose y - 96 - 23 = 0. What is the tens digit of y?
1
Let a be 108/6*1/3. Let z = -3 + a. Suppose -2*n + 32 = -z*j, -3*n + 46 = -0*n - 4*j. What is the units digit of n?
0
Suppose -l - 50 - 29 = -t, 0 = -3*t + 5*l + 241. What is the tens digit of t?
7
Let s be 1/3*0/(-1). Let u be (-1 + s)/(2/18). What is the units digit of 66/u*(-3)/2?
1
Suppose 4*n + 257 = 5*v, -2*v - 27 + 137 = -4*n. Suppose 2*s - 3*s + v = 0. What is the tens digit of s?
4
Suppose -22 = -2*x - 4. Suppose 26 + 67 = 3*y. Suppose -x = -5*m + y. What is the units digit of m?
8
Let t(a) = a**3 + 9*a**2 + 10*a + 8. What is the units digit of t(-7)?
6
Suppose 5*n - h - 2 = 3, -3*h + 21 = 3*n. What is the units digit of 0 - (-1 - (n + -2))?
1
Let a = 25 + 11. What is the units digit of a?
6
Suppose -3*v = -3*m - 57, 3*v + m = 6*m + 59. What is the tens digit of v?
1
Let k(a) = -a + 4. Let p(y) = 5*y**3 + 2*y**2 - y. Let w be p(1). Let n be k(w). Let v = n - -4. What is the units digit of v?
2
Suppose -4*n = -12 - 0. Suppose -y - n = -9. What is the units digit of y?
6
Let h = 59 - -13. What is the tens digit of h?
7
Let x(y) = -3*y**2 - y + 1. Suppose 0*w - 10 = 5*w. Let q be x(w). Let j = 19 + q. What is the tens digit of j?
1
Suppose 18 = 4*m - 34. What is the tens digit of m?
1
Let z = 12 - 8. Suppose 4*n + 1 = 3*x, -4*x - 4 = -z*n - 8. Suppose 0 = 5*m + 4*g - 52, x*m + 2*g - 2 - 30 = 0. What is the tens digit of m?
1
Let t be 4 + -2 + (0 - -1). Let l(c) = c**3 - 3*c**2 + 3*c - 1. What is the units digit of l(t)?
8
What is the units digit of (-1 - 18)/((-9)/162)?
2
Let b be 4/(-8) + 2/4. Let n(u) = 11 + u - 4 + 6 + 2. What is the tens digit of n(b)?
1
Let a(n) = 2 + 3 + 1 - n - 1. Let w be a(-4). Suppose 5*d - 26 = w. What is the units digit of d?
7
Let l be 1/((-1)/(-12)*2). What is the units digit of l*4/(72/3)?
1
Let i(r) = -r**2 + r + 32. Let v(g) = -g**2 - 5*g - 4. Let t be v(-4). What is the units digit of i(t)?
2
Suppose 3*w - 1137 = -5*c + 7*w, 4*c = -4*w + 924. What is the units digit of c?
9
Let i = 1 + 2. Suppose -i*m = -5*m + 32. What is the tens digit of m?
1
Let n = 28 - 12. What is the units digit of n?
6
What is the hundreds digit of (-789)/(-2) - 7/(-14)?
3
Suppose -3*h - 3 = -6. Suppose 11 + h = 4*y. Suppose 30 = 2*v + y*v. What is the units digit of v?
6
Suppose -24 - 11 = -5*s. Suppose 3*f - s = -4. Suppose -5*p + 49 = -f. What is the tens digit of p?
1
Let t(k) be the third derivative of k**5/60 - k**4/12 - 5*k**3/6 + k**2. What is the units digit of t(5)?
0
Suppose 5*n = 5*t, 3*t = -4*n + 5*t + 6. What is the units digit of (n - 68/(-4)) + -3?
7
Let q(v) = -v**2 - 9*v - 7. Let r be q(-5). Let s(k) = k**2 + 8*k + 6. Let i be s(-6). Let l = r + i. What is the units digit of l?
7
Let o(c) = c**3 + 10*c**2 + 8*c - 10. Let r be o(-9). Let h = 1 - r. Suppose 2*a - 12 = -h*a. What is the units digit of a?
3
Suppose 158 = 4*m - 5*h, 4*m + 0*h - 150 = h. What is the tens digit of m?
3
Let c(p) = -p - 1 - 3*p + 4*p**2 + 2*p. What is the units digit of c(-1)?
5
Suppose -7*v - 33 = -8*v. What is the tens digit of v?
3
What is the tens digit of (-4)/(48/51)*-4?
1
Suppose -88 = -i + 7. What is the units digit of i?
5
What is the units digit of 2*(7 + -1) - -3?
5
Let u be 9/1 - (2 - 1). Let f be ((4/8)/(-1))/(1/(-2)). Let y = u - f. What is the units digit of y?
7
Let w(v) = v**2 + 7. What is the units digit of w(5)?
2
Let v(l) = -32*l - 20. Let j be v(-14). What is the tens digit of (-4)/10 + j/20?
2
Let u(f) be the second derivative of -f**4/12 + 7*f**3/6 + f**2/2 + f. Let s be u(7). What is the units digit of s/3 + 88/6?
5
Let s(b)