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pose -2340 = -5*n - g, h*g - 2*g + 10 = 0. Is n a composite number?
False
Suppose 28107 + 13785 = 12*m. Is m a prime number?
True
Let t be (2 - 16) + (-2 - -5). Let y(z) = z + 10. Let m be y(t). Let s(v) = -162*v**3 + v**2. Is s(m) a composite number?
False
Suppose i + 4*w - 24 = 0, -124 = -4*i - 3*w + w. Let q = 122 + -267. Is i/40*q/(-2) a prime number?
False
Suppose -9*h + 12*h - 4*b - 310831 = 0, 207222 = 2*h - 2*b. Is h prime?
True
Suppose a - 4*r = -9*r + 4, a + 5 = 4*r. Is a/4*2 + 12321/6 a prime number?
True
Let p(j) = j. Let t be p(4). Let d be 6/t*(-28)/(-6). Suppose -b + d*b = 54. Is b composite?
True
Suppose -4*w = -21*w + 58259. Is w prime?
False
Suppose -8*n + 36322 = -33862. Is n a prime number?
False
Let v(k) = k**2 + 6*k + 7. Let g = -24 + 19. Let t be v(g). Suppose 0 = q + t*q - 2661. Is q composite?
False
Let m(g) = -62*g - 97*g - 15 + 10. Is m(-4) a prime number?
True
Suppose 3*c - 2571 - 19872 = 0. Is c composite?
False
Suppose 0 = 4*j - 20, -3*v + v = 5*j - 43. Let t(z) = -z**2 + 10*z - 6. Let q be t(v). Suppose -q*x + 3*o = -5*x + 505, -4*x + 1009 = 5*o. Is x composite?
False
Suppose -7813 = -v - 2010. Is v prime?
False
Suppose 4*o - 35 = -5*b, 5*o - 19 = b + b. Suppose 2*z + o*r + 5550 = 7*z, 0 = -4*r - 4. Is z a prime number?
True
Let o = -26873 - -38344. Is o composite?
False
Let d = -3 - -6. Let c(a) = 0*a + d*a + 2*a - 4 + 2. Is c(3) composite?
False
Suppose 122 = 2*p - 196. Is p a prime number?
False
Suppose z - 2*x - 129 = 0, -6 + 3 = -3*x. Is z a composite number?
False
Let w(s) = 4080*s + 47. Is w(6) prime?
True
Let s(k) = k**3 + 7*k**2 - 3*k - 5. Let y be s(4). Suppose -7 = -7*j - 7. Suppose j*g = 3*g - y. Is g composite?
False
Let k = -98194 - -171945. Is k prime?
True
Suppose -2*w + 4*b + 124 = -0*b, 3*b = 5*w - 282. Suppose g = w + 107. Suppose 4*u + i - 51 = 3*u, i = 3*u - g. Is u a prime number?
True
Suppose 197 = 7*o - 62. Is o a prime number?
True
Suppose 5*b + 0*b = 2*l + 17279, 2*l + 3451 = b. Is b composite?
False
Let v be (-6)/(-27) + 55/(-45). Is ((-223)/5)/(v/5) composite?
False
Suppose -3*w + 5*i + 97757 = 0, -4*w = -2*i + 4353 - 134677. Is w prime?
True
Let c = -24 + 48. Suppose -5*p = 20, 2*p = -4*v - 3*p - c. Is v/((-1)/(-3)) + 82 a prime number?
True
Let i be 6*-34*(-4 + (3 - 0)). Let u = 323 - i. Is u composite?
True
Let m(q) = 97*q**2 - 3*q + 9. Let d be m(-4). Let j = d + -1040. Is j a composite number?
True
Let x(t) = t**3 + 18*t**2 + 51*t - 1. Is x(-14) prime?
False
Suppose 305 = 3*z - 496. Suppose -3*h + 6*h - z = 0. Suppose 0*d - h = -d. Is d prime?
True
Let m = 14 - 23. Suppose -3*p = -11*p - 176. Is (p/(-2))/(m/(-18)) a prime number?
False
Suppose -4*f = -8 - 0. Is 2 - (-1043 + -2 - f) prime?
True
Suppose -2*b - 2*c = -1173 + 367, 0 = -b - 4*c + 412. Let w = 1029 - b. Is w a prime number?
False
Let q be 6/9*(-59 + -4). Let o = 410 + -979. Let i = q - o. Is i a composite number?
True
Let j(i) = -9*i**2 - 4*i - 14*i**2 + 3*i**2 - 1 - i**2. Let d be j(-4). Let m = d - -482. Is m composite?
True
Let y = 16 + -11. Suppose 0 = -k - y*f + 2294, -k + 6843 = 2*k + 2*f. Is k composite?
True
Suppose -2*h = 2*h. Let o be h + 0 + 559/13. Suppose -o = -2*f + 19. Is f a composite number?
False
Let q = -15052 + 24111. Is q prime?
True
Suppose 0 = -4*z + 5*c + 16389, z + 3*c - 4066 = -2*c. Is z composite?
False
Let o(q) = 8*q**2 + 6*q - 53. Is o(-15) prime?
True
Let z = 48 - 39. Suppose -z*w - 720 = -5121. Is w a composite number?
True
Suppose -2*v + 3*u - 223 = 0, u = v - 5*v - 453. Let n = -60 - v. Is n prime?
True
Let i(x) = x**3 - x**2 - x - 15. Let g be i(0). Is ((-1899)/(-6))/(g/(-20)) prime?
False
Let z be ((-36)/(-21) - 2)*-14. Is 633/15*(1 + z) a composite number?
False
Suppose 5*p + 4*l - 222 = 1120, 5*p - 4*l = 1358. Suppose 154 = 2*f + 5*q - p, 2*q - 647 = -3*f. Is f composite?
True
Let z(x) = -3*x - 10. Let u be z(-4). Let g = -10 - -6. Is ((-582)/12)/(u/g) a composite number?
False
Let b be (-40)/6*(-1008)/96. Suppose 5*q - 2*s + 176 = 0, 0*q + q = -5*s - 46. Let x = q + b. Is x prime?
False
Let b(m) = -m**3 + 5*m**2 + m - 6. Let j be b(5). Let o(i) = -8*i - 2. Let f be o(j). Suppose 655 = -l + f*l. Is l a prime number?
True
Suppose 2*z = 2*b - 10, 2*b + 5*z = 4 - 8. Suppose 4*q + b*f = 10 + 16, 3*f = 5*q - 19. Let l(x) = x**3 - x + 7. Is l(q) prime?
True
Let v be 118 - (1 + 1 + -2). Suppose -2*a + a + v = 0. Is a a composite number?
True
Suppose 3*l = 2*a - 0*l - 12, -4*l = -a + 16. Suppose 2*k + 6 = 2*c, 1 = 4*c + 2*k + 7. Suppose c = z - a*z - 454.
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{
"pile_set_name": "DM Mathematics"
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|
2 + 59404*l**2*w - 119455222*l**2 + 2*l wrt w?
-17314*l**2*w + 59404*l**2
What is the second derivative of 47250049*z**5 + 12*z**3 - 945348525*z wrt z?
945000980*z**3 + 72*z
What is the first derivative of -69538565*i**2*l**2 - 7*i**2*l - 630*i**2 - 81072*i wrt l?
-139077130*i**2*l - 7*i**2
Differentiate -3123*f**3*o*r + 255*f**3*o + f**2*o - f*o - 1799*o*r + 57*o - 3*r - 2 with respect to r.
-3123*f**3*o - 1799*o - 3
Find the third derivative of -45449*o**3*s - 284*o**3 - 576994*o**2*s + 7*o*s - 1 wrt o.
-272694*s - 1704
Find the second derivative of 19529852*m**3*s**2 - 2*m**3 + 125300*m**2*s + 11*m*s - 2 wrt s.
39059704*m**3
What is the second derivative of 2404*n**3*w + 8*n**3 - 9*n**2*w + 2*n**2 + 14*n*w - 9*n - 344*w - 1 wrt n?
14424*n*w + 48*n - 18*w + 4
Find the second derivative of -65*s**4 - 2*s**3 + 52*s**2 + 3*s + 331182.
-780*s**2 - 12*s + 104
What is the second derivative of 2918801*z**4 - 4229*z + 622 wrt z?
35025612*z**2
Find the second derivative of 42737338*j**2 + 32329064*j wrt j.
85474676
Differentiate 69199300*q + 85713570 wrt q.
69199300
What is the third derivative of 13285*b**6 + 6826*b**3 + 2*b**2 + 271765533*b - 2?
1594200*b**3 + 40956
Find the third derivative of -13081038*a**3 + 4*a**2 + 7*a - 19384.
-78486228
What is the second derivative of 2*o**3 - 937262*o**2 - 12551*o + 42 wrt o?
12*o - 1874524
What is the third derivative of -43714639*y**4 - 1812*y**2 + 923*y + 1 wrt y?
-1049151336*y
What is the second derivative of -23*i**4 + 33379*i**3 + 2*i**2 - 181*i - 18635?
-276*i**2 + 200274*i + 4
What is the first derivative of -6546*j**2 - 1252*j + 40096882 wrt j?
-13092*j - 1252
What is the second derivative of 181539566*w**3 - 7313457*w + 23?
1089237396*w
What is the third derivative of 25806*d**4 - 3217*d**3 + 86049840*d**2 wrt d?
619344*d - 19302
Find the third derivative of -5781929*a**3 + 19*a**2 + 406388 wrt a.
-34691574
Find the third derivative of 6*d**5*t**3 - 8710*d**3*t - 2*d**2*t**2 - 2624*d*t**3 - 2*d + 35*t**3 wrt d.
360*d**2*t**3 - 52260*t
Find the second derivative of 59*f**3*t + 13545*f**2*t*x**3 - 798*f*x**3 - 3*f*x**2 + 2*t*x + 4*t + 3*x**3 wrt f.
354*f*t + 27090*t*x**3
What is the third derivative of -116562005*u**4*y**3 - 7*u**2 + 8782059*u*y**3 wrt u?
-2797488120*u*y**3
What is the first derivative of 23127*r**2*v + 10*r**2 - 2*r*v + 1067991*r + 8*v wrt v?
23127*r**2 - 2*r + 8
Find the third derivative of -1615*d**3*f**4 + 458*d**3*f + 27*d**2*f**2 + d*f**2 - 5*d*f + 1236*f**6 wrt f.
-38760*d**3*f + 148320*f**3
Find the second derivative of -22106036*m**2 + 6*m - 712133 wrt m.
-44212072
Differentiate v**3 - 498*v**2 + 3441*v + 7513421 with respect to v.
3*v**2 - 996*v + 3441
Find the second derivative of 972572889*c**2 - 25*c - 6179766.
1945145778
Differentiate 287868722*o + 171439334 wrt o.
287868722
What is the second derivative of -23411*q**2*y**3 + 2*q**2*y**2 - 60*q**2 - 2*q*y - 162696*q + 6*y**3 wrt q?
-46822*y**3 + 4*y**2 - 120
What is the third derivative of 191*y**6 - 2*y**5 + 1036*y**3 - 7706*y**2 + 2727 wrt y?
22920*y**3 - 120*y**2 + 6216
What is the derivative of -52*a**2*g - 116369*a**2*v + a**2 - 37*a - g*v**2 - g - 9*v**3 + 7 wrt v?
-116369*a**2 - 2*g*v - 27*v**2
Find the second derivative of -115664218*s**2*x**2 - 27*s*x**2 - 11420*s - 76*x**2 wrt s.
-231328436*x**2
What is the second derivative of 76*q**4 + 4*q**3 - 19204*q**2 - 26217*q - 580?
912*q**2 + 24*q - 38408
Find the third derivative of -17*a**3*f*s + 12*a**3*f + 33*a**3 - 3*a**2*f*s - 440*a**2 + 148*f*s wrt a.
-102*f*s + 72*f + 198
What is the third derivative of -106571430*z**3 + 32166776*z**2 + 2*z?
-639428580
What is the derivative of -15864016*m**2 + 48808758?
-31728032*m
What is the second derivative of 110*k**3*y + 13*k**3 - 2*k**2*y + 3332*k**2 - 41*k*y + 2*k - 1791*y + 1 wrt k?
660*k*y + 78*k - 4*y + 6664
What is the third derivative of -3474*b**4*w + 4401*b**3*w - 9714*b**2 + 3716*w wrt b?
-83376*b*w + 26406*w
What is the third derivative of 278*c*r**3*v**3 - 2*c*r**2*v + 4*c*r**2 + c*r*v**3 + 941730*r**3*v**3 + 178*r*v**2 - 3*r*v + v**3 - 101 wrt r?
1668*c*v**3 + 5650380*v**3
What is the first derivative of 9538628*y - 8681375 wrt y?
9538628
What is the third derivative of 12726891*c**5 + 5*c**4 + 9*c**2 + 9*c + 190849?
763613460*c**2 + 120*c
Differentiate -5516827*c - 6893113 wrt c.
-5516827
Differentiate 44783336*w -
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{
"pile_set_name": "DM Mathematics"
}
|
lve -2*y - 10 = j*y for y.
-2
Let b(i) = -4*i - 2. Let u be b(-2). Let x(w) = -4 - 7*w**2 + 42*w + 32*w + w**3 + 37*w - 104*w. Let j be x(u). Solve 0 = -j*y + 6*y - 16 for y.
4
Suppose 3*x + 3*r = 2*r + 3, 5*r = -15. Suppose b + 9 = 2*h, 2*h - x*b = 3*b + 5. Solve -h*g = -3*g + 2 for g.
-1
Let v = 98 - 93. Suppose -107 = -3*x - 11. Suppose -v*o + x = -38. Solve -3*z = -o + 2 for z.
4
Let a(l) = 3 - l + 0 - 5. Let h be a(-6). Solve 5*i + 4 = h*i for i.
-4
Suppose 19 = -s - 3*i, -3 = -s + i - 2. Let x be 3 - 4*s/(-16). Solve -2 = x*h - 0 for h.
-1
Suppose 6*a - 104 = 2*a. Let y = a + -23. Solve 5*n = y*n - 10 for n.
-5
Let u = -38 + 38. Suppose -y + 11 = n, -4*n - 2*y + 5*y + 23 = u. Solve 7*w - 1 = n*w for w.
-1
Let b(z) = -z**3 - 3*z**2 + 12*z + 21. Let x be b(-5). Suppose 3*l + d - 41 = 6*d, -15 = -l + 3*d. Solve l*w - x*w = -1 for w.
-1
Suppose 4*i = -4*o, 4*o = -5*i - 5 + 2. Solve o*l + 7 = 4 for l.
-1
Suppose -4*j - 60 = -p, -4*p - 22*j + 27*j + 240 = 0. Solve -p*c + 5 = -59*c for c.
5
Let j = 925 + -921. Let s = -1 + 5. Let o(p) = -p**2 + 7*p - 2. Let b be o(s). Solve j*k + b = -k for k.
-2
Suppose 2*p - 5*p = 5*j - 66, 0 = -5*p - 15. Solve -8*u = -j*u + 14 for u.
2
Let s = -84 + 57. Let v = 30 + s. Solve -v*j - j + 8 = 0 for j.
2
Let x(h) = 27*h - 189. Let c be x(8). Suppose -j = j - 12. Suppose c - j = 7*v. Solve 0 = -z - v*z for z.
0
Let w(n) = -3*n + 2 - n + 2. Let f = 201 + -207. Let c be w(f). Solve -c = -5*r - 3 for r.
5
Suppose -1 = -4*c + 55. Let p(y) = 4*y**2 + 4. Let a be p(-3). Suppose -c*r + 12*r = -a. Solve -6*b + b = -r for b.
4
Let d(p) = -5*p**3 - 13*p**2 - 3*p + 7. Let b(z) = 4*z**3 + 12*z**2 + 2*z - 8. Let a(o) = -4*b(o) - 3*d(o). Let q be a(-9). Solve 0*j + 8 = -q*j for j.
-4
Suppose -25 = -2*j - 53. Let q be 1/(-2) + (-105)/j. Solve 2*b - 10 = q*b for b.
-2
Suppose -10 = -3*q - 2*c, -q + 0*q - 2*c = -6. Suppose q*i = i + 1. Solve 4*g + 5 = i for g.
-1
Suppose 4*c + 2*h = 10, 5*h + 2 = -3*c + 13. Suppose 0 = -12*l - c + 26. Solve -6*f + 4*f = l for f.
-1
Let o = 2 - 16. Let q = o - -12. Let j = 0 - q. Solve 3*u + 5 = j for u.
-1
Let c(q) = q**2 - 12*q - 286. Let y be c(-12). Solve 8*r = -38 - y for r.
-5
Let r be (-20)/(-2)*119/119. Solve -r*a + 51 = 1 for a.
5
Suppose 4*i - 107 = -5*o - 80, -3*i = -2*o - 3. Suppose 2*g - 20 = -0*g. Solve -z + g = -i*z for z.
-5
Suppose v = -3*z + 22, 4*v = 12*z - 14*z + 28. Solve 2 = -z*w + 2 for w.
0
Let a = -68 + 80. Suppose -3*l + 16 + a = 5*i, -4*l + 4*i = -16. Solve -2*u = l + 2 for u.
-4
Let u be (-2)/(-8) + (-75)/12. Suppose 6 = 2*l + 24. Let d = u - l. Solve 3*a + d = -0*a for a.
-1
Suppose -4*v + 84 = 4*z, -v + 2 = -5*z - 1. Solve 0 = -g - 22 + v for g.
-4
Let u be (-5 - 162/(-9)) + -1. Solve -u = -246*p + 242*p for p.
3
Suppose l + 21 = 5*y - y, 4*l = -4. Suppose -25 = f - y*x, -x + 8 - 3 = f. Solve 20 = -f*q + 4*q for q.
5
Let m(d) = d**3 - 13*d**2 + 21*d + 15. Let s be m(11). Suppose 0 = 4*w - 3*q - 3, -s*q + 3 - 7 = -3*w. Solve -5*a + 10*a - 20 = w for a.
4
Let o(k) = -k**2 + 14*k - 20. Let b be o(11). Suppose 0 = -14*p + b*p + 20. Solve -p = 3*n - 8*n for n.
4
Suppose -n = 5*w + 3, 0*w = w + 3*n + 9. Suppose 2*d + 16 = 5*k, 2*k + 3*d + 5 = -0. Suppose 0 = 911*x - 913*x + 10. Solve z - x + k = w for z.
3
Let p = -8 + 11. Let t be (-57)/(-15) - ((-2)/10 - -1). Suppose -v + 5*k = -1, 2*k - 2 = -5*v + t*v. Solve m = p - v for m.
2
Let z(j) = j + 4. Let x be z(8). Let w = -32 + x. Let v be (8/w + 0)*-5. Solve v = 3*s - s for s.
1
Let q = 34 - 31. Solve q = -5*p - 12 for p.
-3
Suppose z + z = 24. Let p(k) = 6*k + 14 - z - k**2 + 0*k. Let o be p(6). Solve -s = o*s - 15 for s.
5
Let w be (-8)/(-28) - (-60)/(-14). Let h = w + 13. Let s = -1 + h. Solve s*o + 12 = 4*o for o.
-3
Let x(o) = -6*o**3 + 4*o**3 + 5*o**2 - 4*o + o**3. Let c be x(4). Suppose k - 3*k + 8 = c. Solve -k*n - 5 = 3 for n.
-2
Suppose -2*f = 4*b - 78, -f - 3*b = 2*f - 108. Solve -z = 36 - f for z.
-3
Let y be (-2)/4 + (-803)/(-22). Let a =
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{
"pile_set_name": "DM Mathematics"
}
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3
Let k(d) = 16*d**3 + 9*d**2 - 5*d + 527. Let g(a) = 19*a**3 + 11*a**2 - 6*a + 530. What is -5*g(w) + 6*k(w)?
w**3 - w**2 + 512
Let l(i) = 10*i**3 + 32*i**2 - 1006*i + 42. Let n(c) = -2*c**3 - 6*c**2 + 201*c - 8. What is -3*l(r) - 16*n(r)?
2*r**3 - 198*r + 2
Let x(t) = 70858768*t + 69180. Let f(r) = -9218*r - 9. Calculate -23060*f(s) - 3*x(s).
-9224*s
Let j(q) be the first derivative of -27*q**2/2 - 1272. Let z(f) = 1081*f. Give 161*j(t) + 4*z(t).
-23*t
Let w(d) = 5*d + 4. Let q(k) = k**2 - 6*k - 3. What is -3*q(h) - 4*w(h)?
-3*h**2 - 2*h - 7
Let b be (-153)/(-102)*((-12)/9)/1. Let q(x) = -13*x**2 + 3*x + 1. Let a(j) = 0*j - j**2 - 5*j**2 + j. Give b*q(z) + 5*a(z).
-4*z**2 - z - 2
Let q(z) = 17*z**3 - 48*z**2 - 3*z + 8. Let k(p) = 6*p**3 - 16*p**2 - p + 3. Let y = -38660 + 38664. Determine y*q(m) - 11*k(m).
2*m**3 - 16*m**2 - m - 1
Let o(d) = 187*d**3 - 6*d**2 + 3*d + 2. Let i(c) = -375*c**3 + 13*c**2 - 6*c - 4. Determine -6*i(s) - 13*o(s).
-181*s**3 - 3*s - 2
Let z(d) = 4*d**2 - 6*d + 3. Suppose -214*k = -219*k + 175. Suppose 4*o = 3*m + 9 - 4, -3*m + k = 4*o. Let x(h) = h**2 - h + 1. What is m*x(l) - z(l)?
l**2 + l + 2
Let b(u) = -20*u**2 + 5*u. Let l(k) = -124*k**2 + 25*k. Let d(x) = -6*b(x) + l(x). Suppose 4*j = -12 - 12. Let c(t) = -t**2. What is j*c(w) + d(w)?
2*w**2 - 5*w
Let d(l) = -21*l - 2. Let g(v) = 13*v - 91. Let o(m) = -40*m + 319. Let b(k) = -7*g(k) - 2*o(k). Give -7*b(s) + 4*d(s).
-7*s - 1
Let u(q) = -q**3 + q**2 + 1. Suppose 4*s + 15*f - 11*f + 8 = 0, 0 = 4*s + 3*f + 7. Let n(t) = -20*t**3 + 2*t**2 - t + 2. Calculate s*n(r) + 2*u(r).
18*r**3 + r
Let y(k) = -3*k - 4. Let x(l) = -114*l**2 + 22*l + 26. Determine x(b) + 6*y(b).
-114*b**2 + 4*b + 2
Let v(q) = -q + 24*q - 5*q - 12*q**2. Let k = 1008 + -990. Let d(l) = -l**2 + l. What is k*d(x) - v(x)?
-6*x**2
Let f(k) = -22141*k**2. Let w(d) = 2535143*d**2. Calculate -573*f(r) - 5*w(r).
11078*r**2
Suppose -16*l = 5*l + 21. Let r(m) = -m**3 - m**2 + 6*m - 5. Let w(z) = -z - 3. Let p(s) = -4*s - 10. Let t(j) = 2*p(j) - 7*w(j). Determine l*r(c) - 5*t(c).
c**3 + c**2 - c
Let v(g) = -64*g + 42. Let f(i) = -130*i + 71. Determine 4*f(l) - 7*v(l).
-72*l - 10
Let l(n) = 1402*n**2 + 7*n - 4. Let g(i) = -9*i**2 + i. Determine -6*g(p) + l(p).
1456*p**2 + p - 4
Let w(a) = 28*a**2 + 475*a - 47. Let r(o) = 7*o**2 + 117*o - 13. Calculate -11*r(u) + 3*w(u).
7*u**2 + 138*u + 2
Let p(f) = -22*f - 32. Let s(c) = -31*c - 45. Let l(w) = 7*p(w) - 5*s(w). Let x(z) = -2*z + 2. Let i be x(-2). Let v(d) = d + 1. What is i*v(u) - 5*l(u)?
u + 1
Let f(y) = -305*y + 1. Let g(r) = -618*r + 2. Give -11*f(b) + 6*g(b).
-353*b + 1
Let s(n) = -329*n + 1. Let x(w) = 3*w - 3. Calculate -s(l) + x(l).
332*l - 4
Let a(b) = -114*b**3 + 245*b**2 - 7*b + 2. Let c(u) = 49*u**3 - 123*u**2 + 3*u - 1. Give 3*a(h) + 7*c(h).
h**3 - 126*h**2 - 1
Let m(n) = 60*n**3 - 6*n**2 + 24*n + 18. Let i(h) = 121*h**3 - 11*h**2 + 47*h + 33. Give 6*i(f) - 11*m(f).
66*f**3 + 18*f
Let d(s) = -53*s**2 + 16*s + 49. Let c(q) = 51*q**2 - 20*q - 51. Determine 4*c(u) + 5*d(u).
-61*u**2 + 41
Let o = -1070 - -1034. Let n(h) = -16*h**3 + 18*h**2 - 18*h. Let l(b) be the first derivative of b**4/4 - b**3/3 + b**2/2 + 5. What is o*l(m) - 2*n(m)?
-4*m**3
Let f(c) = c - 2367. Let g(b) = -b + 808. Calculate 4*f(t) + 11*g(t).
-7*t - 580
Let t(d) be the second derivative of 3*d**3/2 + 4162*d. Let o(n) = 16*n + 1. Let x(j) = 33*j + 2. Let l(a) = 13*o(a) - 6*x(a). Determine 2*l(w) - 3*t(w).
-7*w + 2
Suppose -121*m + 78 = -108*m. Suppose 12 = 3*a, 3 + m = 5*u + a. Let w(y) = 1. Let q(p) = -2*p + 14. Calculate u*q(
|
{
"pile_set_name": "DM Mathematics"
}
|
a
In base 15, what is -25c - 13d?
-39a
In base 13, what is 4409a92 + 0?
4409a92
In base 4, what is -201220 - 21000?
-222220
In base 2, what is -1110111001001110111 + -10000?
-1110111001010000111
In base 10, what is -24 + 1067284?
1067260
In base 15, what is 3 + -235457?
-235454
In base 5, what is 210004104 - -10?
210004114
In base 2, what is -100000110111110011110000111 - 111?
-100000110111110011110001110
In base 4, what is 310113010 + -303?
310112101
In base 16, what is -4 - -2b9d85?
2b9d81
In base 13, what is 1c6 + -16c52?
-16a59
In base 2, what is 11010000 + -111011110111100110?
-111011110100010110
In base 6, what is -4 + 5125350202?
5125350154
In base 11, what is 16 + 3271a0?
327206
In base 15, what is 30cdae - 12?
30cd9c
In base 10, what is 703123 + -2?
703121
In base 6, what is 224 - 431503214?
-431502550
In base 7, what is 26010304 + 3?
26010310
In base 13, what is 40484 + 494?
40948
In base 2, what is -11110100110011111 + -1000100100111?
-11111101011000110
In base 13, what is 30c362 - 0?
30c362
In base 8, what is -34 - -3605231?
3605175
In base 8, what is 206007736 - 3?
206007733
In base 14, what is 24c60a8 - -2d?
24c60d7
In base 5, what is 24001130002 - -10?
24001130012
In base 14, what is 76cc94 - 2?
76cc92
In base 13, what is -3 + -2215a46?
-2215a49
In base 10, what is -174 - 135536?
-135710
In base 9, what is 23237 - 14180?
8047
In base 8, what is 310307122 + -2?
310307120
In base 12, what is a204b4 - 65?
a2044b
In base 12, what is 3002b + 530a?
35339
In base 13, what is 193 - -1a96ab?
1a9871
In base 9, what is 2738008470 + -2?
2738008467
In base 5, what is -10 + -313034022010?
-313034022020
In base 3, what is -210112212101 + -101?
-210112212202
In base 12, what is a81 - 548?
535
In base 9, what is 418726 - -324?
420151
In base 11, what is 35a022a9 - 5?
35a022a4
In base 13, what is 1245bb8 - 2?
1245bb6
In base 13, what is 3c0b8 - 8?
3c0b0
In base 2, what is 100010000111 - 1001100000?
11000100111
In base 8, what is 127 + 1312160?
1312307
In base 9, what is 58455 - -1507?
61063
In base 14, what is 565 + 264a5?
26a2a
In base 5, what is 133243 - 331031?
-142233
In base 3, what is 11112201021 + -1200?
11112122121
In base 12, what is -5888261 - -2?
-588825b
In base 14, what is 50d054 - 77?
50cdbb
In base 15, what is -326884 + 4?
-326880
In base 16, what is -31 - 26aeb1?
-26aee2
In base 5, what is 34210023 - 3021?
34202002
In base 5, what is 42120202414 + 4?
42120202423
In base 10, what is 49 + -161715?
-161666
In base 9, what is -108471 - -4501?
-103870
In base 11, what is -4 + -9678962?
-9678966
In base 6, what is -20022 - -32223?
12201
In base 15, what is -b89dcd4 - -3?
-b89dcd1
In base 2, what is 101100011001000 + 10101100000?
101111000101000
In base 8, what is 164 + 10072072?
10072256
In base 2, what is 1 - -1011000001000010111?
1011000001000011000
In base 6, what is -230240431 - 22?
-230240453
In base 4, what is -12 + -2010300200?
-2010300212
In base 13, what is 4 + 13c0866?
13c086a
In base 8, what is -6754034 - -36?
-6753776
In base 16, what is 7d3 + 6f?
842
In base 11, what is 257820 + -62?
257769
In base 11, what is -2649 + -36a3?
-6241
In base 16, what is a06eea - -1?
a06eeb
In base 6, what is -233251 - -145?
-233102
In base 3, what is 2221102 + 11020102?
21011211
In base 12, what is -133 + 66581?
6644a
In base 2, what is 100000010101100100000011 - -111?
100000010101100100001010
In base 4, what is -213312022231211 + 0?
-213312022231211
In base 5, what is 32110120 - 314?
32104301
In base 9, what is -1505633 - 4?
-1505637
In base 3, what is -21202111120021 - 1220?
-21202111122011
In base 10, what is 35279532 + 1?
35279533
In base 16, what is -26 - 8205b2?
-8205d8
In base 8, what is 303500 - -20?
303520
In base 14, what is 8492 + c6c?
9320
In base 14, what is -4 + 3a47c30?
3a47c2a
In base 7, what is 0 + 2254023326?
2254023326
In base 15, what is -52 - 5e210?
-5e262
In base 2, what is 101 + -10100110100010011110?
-10100110100010011001
In base 15, what is -1 - -50c05ad?
50c05ac
In base 8, what is -4626670 + 203?
-4626465
In base 14, what is 11c - -1005?
1123
In base 9, what is -18403 - -1162?
-17231
In base 4, what is 101320320 - -11222?
101332202
In base 7, what is -5144100660 - 4?
-5144100664
In base 9, what is 42 - 6881788?
-6881746
In base 9, what is 250545 - -1412?
252057
In base 4, what is 23323201 + 201233?
30131100
In base 2, what is -1000100100 + 1000011001?
-1011
In base 14, what is 31c + 2cb3a?
2d058
In base 9, what is -66655833 + -1?
-66655834
In base 6, what is -1114430 - 13142?
-1132012
In base 8, what is -2371 - 2627?
-5220
In base 12, what is 1347 - -9588a?
97015
In base 15, what is -1a3ed - 81?
-1a47e
In base 13, what is -c23 - -11520?
105ca
In base 5, what is 2022300 + 130323?
2203123
In base
|
{
"pile_set_name": "DM Mathematics"
}
|
5002). What is w rounded to the nearest one thousand?
-5000
Let m be (-2)/(2 - 112/57). Round m to the nearest ten.
-60
Suppose 0 = -4*i - 945069 - 1614931. Round i to the nearest one hundred thousand.
-600000
Suppose 3*p - 2*p + 3*d = 17, -3*p + 5*d - 19 = 0. Suppose 0 = p*n - 1 + 7, 4*q - n = 60403. What is q rounded to the nearest one thousand?
15000
Let s = -17 - -40. Let a = s + -22.89. Let p = a - -0.64. What is p rounded to one decimal place?
0.8
Let o = -92.6 - 4.4. Let r = o - -100.9. Round r to zero decimal places.
4
Let s = 73 + -73.00228. What is s rounded to three decimal places?
-0.002
Suppose 8*t - 4*t - 49200020 = 0. Suppose 0 = -3*s - 5*i + t, 0*s + 5*i - 4100005 = -s. What is s rounded to the nearest one million?
4000000
Let c = -177.5833 - -175.9024856. Let h = -1.83081 - c. Let q = h - -0.15. What is q rounded to six dps?
0.000004
Let n = 20 - 20. Suppose n = 5*h - 0*h + 640. What is h rounded to the nearest 10?
-130
Let y = -116.00245 - -116. Round y to 4 decimal places.
-0.0025
Let p = -3996531 - -2736531. Round p to the nearest 100000.
-1300000
Let r = -0.06866 + 0.04865. Let j = r - -0.02. What is j rounded to 4 decimal places?
0
Let u = -3.2 - -1.5. Let w = 1.55 + u. What is w rounded to 1 decimal place?
-0.2
Let k = -0.005 + 0.00500095. What is k rounded to 7 dps?
0.000001
Suppose -4*s + 12 = -0*s. Suppose 5 = 4*k + 3*q, 0 = k + 3*k + 5*q - s. Let d = 8 - k. Round d to the nearest integer.
6
Suppose a + 2*g + 32492 = 0, -2*g - 3*g + 20 = 0. Round a to the nearest 1000.
-33000
Suppose -55670 = -3*f - 2*f. Suppose -6 = -2*x, -5*n - x + 3637 = f. Round n to the nearest one hundred.
-1500
Let w = 23.577 + 23182.423. Let v = w - 23205.78991. Let i = v + -0.21. Round i to four dps.
0.0001
Let z = 9.00099 - 9. What is z rounded to four decimal places?
0.001
Let w = -1.02 + -0.22. Round w to one decimal place.
-1.2
Let m(u) = -168*u**2 - 8*u - 12. Suppose -3*p - 16 = -p. Let j be m(p). Round j to the nearest one thousand.
-11000
Let n = -0.180192 + 0.18. Round n to five decimal places.
-0.00019
Let r = 3.154 - -0.046. Round r to the nearest integer.
3
Suppose -3*n + 196 = -8*u + 4*u, -2*n + 4*u + 132 = 0. Round n to the nearest ten.
60
Let k(y) be the third derivative of 9*y**5/20 - y**4/24 + y**2. Let h be k(-2). What is h rounded to the nearest 100?
100
Let l(g) be the first derivative of 899*g**4/4 + g**3/3 - g**2/2 + g + 1. Let k be l(1). What is k rounded to the nearest 1000?
1000
Suppose -7*i + 13333 = -22087. Round i to the nearest one thousand.
5000
Let n = 160.1 + -1005.1. Let t = n + 835.73. Let y = -8.8 - t. What is y rounded to one decimal place?
0.5
Let s = 28.4 + 1.6. Let f = 829175915 - 829175885.00000152. Let k = s - f. What is k rounded to 7 decimal places?
0.0000015
Let t = 52.7 + -335.7. Let u = 283.000131 + t. Round u to 5 decimal places.
0.00013
Let n = 323955 + -713955. What is n rounded to the nearest one hundred thousand?
-400000
Let o = 4.09 - 0.09. Let j = o + -3.96. Let r = 0.0399987 - j. What is r rounded to six decimal places?
-0.000001
Suppose -i - 3 = 4. Let g(r) = 28*r**2 - 6. Let k be g(i). Suppose 5*d - 2544 = -2*q, 4*d - k = -3*q + 665. Round d to the nearest 100.
500
Let a = -1.251 - -1.11. What is a rounded to 2 dps?
-0.14
Let l = 55 - 25. Let s = 30.042 - l. Let o = s - -0.015. Round o to 2 decimal places.
0.06
Let j(n) be the third derivative of 13843*n**5/15 - n**4/12 + 5*n**3/3 - 2*n**2. Let c be j(11). What is c rounded to the nearest 1000000?
7000000
Let p = -190062881 - -190063000.999937. Let r = p - 120. What is r rounded to 5 dps?
-0.00006
Let t = 1.32 - 1.32000067. Round t to 7 dps.
-0.0000007
Let p = -619 - 364. Suppose 51 + 132 = -z. Let q = p - z. What is q rounded to the nearest 1000?
-1000
Let k = -346 + 611. Let u = k - 278.1. Round u to the nearest integer.
-13
Suppose 2*t + 1 = 3. Suppose 0 = n + 4*n. Let w be t + 1 + n + -650002. Round w to the nearest one hundred thousand.
-700000
Suppose 2*f - 11763159 - 27036835 = 4*y, -f - 48500003 = 5*y. What is y rounded to the nearest 1000000?
-10000000
Let v = -17417 + 17646.34. Let s = -225 + v. Let f = s + 0.16. Round f to the nearest integer.
5
Let f = -1.19 + 0.26. Let h = f - -1. What is h rounded to 1 decimal place?
0.1
Let p = 0.01 - -1.15. What is p rounded to 1 dp?
1.2
Let c be 1/(-5) + (-7)/((-35)/116). Round c to the nearest ten.
20
Let k be ((-9)/4)/(3/(-16)). Suppose 2*s + 500016 = -3*s - 4*d, -3*d = k. Round s to the nearest 1000000.
0
Let z = -171824 - -171824.099997. Let r = 0.1 - z. What is r rounded to 5 dps?
0
Let w = 1.323 - 1.30300096. Let u = -0.02 + w. Round u to seven dps.
-0.000001
Let f = 2.1 + -2.1055. Round f to 3 decimal places.
-0.006
Suppose -l - 181991 = -2*o - 4*l, 0 = -o - l + 90997. Round o to the nearest 10000.
90000
Let z = 0.002 - 0.0075. Round z to four decimal places.
-0.0055
Suppose u + 2*k + 2305858 + 894146 = 0, u + 3200006 = -3*k. Round u to the nearest one million.
-3000000
Let t = -5.7 - -6. Let b = t - 0.2948. Round b to three decimal places.
0.005
Let i = -0.29 - -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by o?
25
Suppose -i = n - 21, -6*n + 2*n = -20. Let h(j) = -j**3 + 11*j**2 + 11*j + 33. What is the remainder when h(12) is divided by i?
5
Suppose -2*p = -3*p - 4*n, -2*p + 60 = -4*n. Suppose -i - 4*t - 41 = 0, 3*t + p = -2*t. Let l = i + 40. Calculate the remainder when 104 is divided by l.
14
Let m = 23 + -20. Suppose -l - 5 = 0, -134 = -m*q + 3*l + l. What is the remainder when q is divided by 3?
2
What is the remainder when 8 + 245 + (1 - 6) + 1 is divided by 42?
39
Suppose 3*p - 2204 = -3*q + 28, 2976 = 4*p + 5*q. Calculate the remainder when p is divided by 109.
90
Let y = 18 - 6. Suppose 681 = 8*c + 649. Calculate the remainder when ((-1)/(-2))/(c/920*5) is divided by y.
11
Calculate the remainder when 1991 is divided by (-7680)/576*(-90)/16.
41
Let r(w) = -w**3 - 11*w**2 - 16*w + 32. Let c = 87 - 97. What is the remainder when r(c) is divided by 30?
2
Suppose -19 = 13*f - 6. Let z(o) = 33*o**2 - 6*o + 2. What is the remainder when 120 is divided by z(f)?
38
Calculate the remainder when 1529 is divided by 154 - (-6 - (-8 + 1))*1.
152
Let y(n) = -5*n**3 - 10*n**2 - 47*n - 112. Calculate the remainder when 788 is divided by y(-3).
48
Suppose -2*l = -l - 3, -4*v - 9 = -3*l. What is the remainder when 433 is divided by 155/5 + 1/5*v?
30
Let n = 55 - 14. Suppose -62*l + 59*l = -69. What is the remainder when n is divided by l?
18
Let l be (3*-4)/(-3) - -4. Let p(s) = s - 6. Let n be p(l). What is the remainder when 17 is divided by n/((-2)/20*-4)?
2
Let u = 327 - 338. Let w(n) = -n**2 - 18*n - 64. Calculate the remainder when 85 is divided by w(u).
7
Let f = 4508 - 4504. Calculate the remainder when 108 is divided by f.
0
Suppose 116145 = 28*s - 165843. Calculate the remainder when s is divided by 73.
70
Let u(p) = 3*p - 53. Let i be u(27). What is the remainder when 17/(88/i - 3) is divided by (-2)/4*(-31 + 7)?
11
Calculate the remainder when 3292/((2 - (-11)/(-5)) + (-2576)/(-1680)) is divided by 275.
269
Suppose -137*y + 2180 = 81*y. What is the remainder when 188 is divided by y?
8
Suppose -5*s = -2*j + 273, 53*s = -4*j + 57*s + 540. What is the remainder when 419 is divided by j?
17
Suppose -27*x + 33*x - 330 = 0. Suppose 1608 + 1789 = 93*f + 142. Calculate the remainder when x is divided by f.
20
Let k(h) be the second derivative of h**4/12 - 5*h**3/3 + 43*h**2/2 + 12*h - 2. What is the remainder when k(9) is divided by 21?
13
Let z(d) = 38*d + 190. Let x be z(-5). Suppose -6*a + 8*a - 3*h = x, -3*h + 42 = 5*a. What is the remainder when 41 is divided by a?
5
Suppose -2*c + 92 = 4*u, c = -2*c + u + 159. Suppose -144*z + 141*z = -111. What is the remainder when z is divided by 3/(-1 + c/40)?
7
Let l(w) = -w**2 - 2*w + 17. Let t be l(-5). Let o(y) = 2*y**t - 28 - 3*y**2 + 3*y - 2*y**2 + 4*y**2. What is the remainder when 22 is divided by o(5)?
10
Let a(j) = 61*j - 164. Let u(d) = 60*d - 166. Let y(f) = -3*a(f) + 4*u(f). What is the remainder when y(10) is divided by 50?
48
Suppose -3*a + y = 2*y - 455, -2*y = 5*a - 757. Let q(x) = x**2 + 41*x - 149. Let w be (-5)/15 + (-402)/9. What is the remainder when a is divided by q(w)?
29
Let m = -4807 - -5021. Calculate the remainder when m is divided by (-4 - -1)/(3/(-107)) + 2.
105
Suppose 5*j - 16 = 3*i, -2*i + 12 = j - 7*i. Suppose 4 = -3*p - 6*q + q, -q - j = p. What is the remainder when 87/(5 - (-12)/p) + 2 is divided by 15?
14
Let r(b) = -9*b + 2*b**2 + 13*b + 6*b - 40*b + 23. Let w(l) = -l**3 + 12*l**2 - 11*l. What is the remainder when w(10) is divided by r(15)?
21
Suppose -48 = -4*b - 44. Let w be (-15 - -2)/1 + 5. Calculate the remainder when ((-396)/w)/9*2/b is divided by 5.
1
Suppose -2*g = 2*g - 40. Suppose -6*w - 10 = 3*q - w, 0 = 4*w + 8. Suppose o = 2*d - 2, -d + 2*d - o + 1 = q. Calculate the remainder when g is divided by d.
1
Let r(w) = 2*w - 3. Let z be r(3). Suppose 0 = -64*y + 30*y - 68. Calculate the remainder when 226 is divided by y/(20/(-95))*(z - -1).
36
Let t be 6/(-2) + 1*-6*1. Let z be (4/(-6))/(-2) - 42/t. Suppose -l - z*o = -3*l - 7, -9 = -3*o. What is the remainder when 12 is divided by l?
0
Suppose 30*t - 38*t + 40 = 0. Suppose 0 = t*a + 3*l - 86, 4*a + l - 27 - 39 = 0. Suppose -21 = 2*o - 207. What is the remainder when o is divided by a?
13
Calculate the remainder when 168402/234 - 3/3 - 2/3 is divided by 146.
134
Suppose -5*g - 15*r + 1146 = -14*r, 0 = -3*r + 18. What is the remainder when g is divided by 81?
66
Suppose 2*p = -3*f + 124, -4*f = 3*p - 2*p - 57. Let n = -38 + 41. What is the remainder when p is divided by n/(-9)*3 - -18?
14
Let f(k) be the second derivative of k**5/10 - k**4/2 + k**3/3 - 3*k**2/2 - 12*k. Let j be f(4). Let r = 52 - j. What is the remainder when 27 is divided by r?
12
Let q be ((-10)/(-6))/(-2 + (-65)/(-39)). Let f(b) = 7*b**2 - b - 20. What is the remainder when f(q) is divided by 84?
76
Suppose 13*z + 34 = 21. Let y(t) = 7*t + 27. What is the remainder when 439 is divided by y(z)?
19
Let h = 5166 - 5018. What is the remainder when 198 is divided by h?
50
Calculate the remainder when 497 is divided by -25 + 11 + 12 + 264.
235
Let t = -8223 - -8867. What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
= -29*f - 43. Let z(s) = 18*s + 44. Determine 2*v(n) + 3*z(n).
-4*n + 46
Let t(y) = -335*y**3 - 8*y + 6. Let q(r) = -112*r**3 - 3*r + 2. Determine -8*q(m) + 3*t(m).
-109*m**3 + 2
Let y(h) = -1. Suppose -10*f + 11*f = 4*r - 5, -32 = -5*f + r. Suppose 41*z = 48*z - f. Let u(b) = -8*b - 5. What is z*u(o) - 5*y(o)?
-8*o
Let n(f) = -f**3 + 3*f**2 - f + 5. Let c(w) = 10*w**3 - 5*w**2 + 2*w - 86. Determine -c(o) - 2*n(o).
-8*o**3 - o**2 + 76
Let b(u) = 4 - 964*u**2 - 2 - 7*u - 948*u**2 - 957*u**2 + 2879*u**2. Let x(n) = -21*n**2 + 15*n - 5. What is -9*b(k) - 4*x(k)?
-6*k**2 + 3*k + 2
Let h(w) be the second derivative of 7*w**4/12 + w**3 + w**2 - 7*w - 547. Let u(y) = -7*y**2 - 7*y - 3. Calculate -3*h(c) - 2*u(c).
-7*c**2 - 4*c
Let b(o) = 7*o - 2. Let r(q) = 7*q**2. Let y be r(1). Let g(s) = -7 + s + y. Let t(h) = h**3 + 2*h**2 - 96*h - 96. Let c be t(-1). Calculate c*b(j) - 4*g(j).
3*j - 2
Let v(r) = 2*r + 2. Let l(j) = -1176*j + 2016. Determine l(o) - 1008*v(o).
-3192*o
Let j(h) = 2*h - 11. Let l = 13317 - 13320. Let r(t) = -t + 10. What is l*j(f) - 4*r(f)?
-2*f - 7
Let w(b) = -10*b**2 - 219*b + 2. Let y(o) = -9*o**2 - 217*o + 2. Determine 6*w(p) - 7*y(p).
3*p**2 + 205*p - 2
Let y(k) = 37*k. Suppose -3*v - 5*l = 1, 2*v = -130*l + 128*l - 2. Let m(f) = 37*f. Determine v*m(g) + 3*y(g).
37*g
Let o(s) = -2*s + 58. Let w(u) = -10*u + 238. Give 9*o(b) - 2*w(b).
2*b + 46
Let n(m) = 5*m**3 + 4*m. Let w be 63*1*(6 + -2)/12. Let j = w - 9. Let t = 23 - j. Let s(y) = 14*y**3 + 11*y + 1. What is t*n(b) - 4*s(b)?
-b**3 - 4
Let l = -183 - 240. Let c = l + 430. Let x(k) = -31*k**2 + 7*k - 7. Let j(u) = -10*u**2 + 2*u - 2. What is c*j(t) - 2*x(t)?
-8*t**2
Let u(r) = -1650*r**3 + 81*r**2 - 8*r - 2. Let k(p) = -825*p**3 + 48*p**2 - 5*p - 1. Give 5*k(a) - 3*u(a).
825*a**3 - 3*a**2 - a + 1
Let j(w) = 108*w - 9. Let c(l) = 67*l - 5. Calculate 5*c(s) - 3*j(s).
11*s + 2
Let v(s) = -2123*s + 12. Let o(j) = 1412*j - 7. Calculate -8*o(t) - 5*v(t).
-681*t - 4
Let o(l) be the first derivative of -l**2 + 11*l + 221. Let t(z) = z**3 - 5*z**2 - 7. Let w be t(5). Let m(p) = p - 5. Give w*m(h) - 3*o(h).
-h + 2
Let q(v) = -25*v + 11. Let f(n) = -188*n - 2071. Let y be f(-11). Let t(b) = 12*b - 5. What is y*q(u) - 7*t(u)?
-9*u + 2
Let r(n) = 43*n**3 + 6*n**2 - 6166*n + 3. Let o(d) = -72*d**3 - 10*d**2 + 12334*d - 5. Give 3*o(c) + 5*r(c).
-c**3 + 6172*c
Let j(g) = 22370*g**3 - 9*g + 3. Let o(k) = 4406887*k**3 - 1770*k + 590. Determine 590*j(a) - 3*o(a).
-22361*a**3
Let k(j) = 2*j**2 - 23*j + 15. Let b(g) = g**2 - 11*g + 7. Suppose 0 = -3*v - 13 + 109. Suppose -v*p - 156 = -20*p. Calculate p*b(f) + 6*k(f).
-f**2 + 5*f - 1
Let p(h) = -11*h**2 + 13*h + 16. Let v(o) = 6*o**2 - 6*o - 8. Determine -3*p(a) - 5*v(a).
3*a**2 - 9*a - 8
Let d(x) = -2*x**2 + 5*x + 6. Let n(r) = r**2 - r. Let v(h) = -8*h**2 - 213*h + 84. Let g be v(-27). What is g*n(l) + d(l)?
l**2 + 2*l + 6
Let q(a) = 80501 + 80496 + 5*a - 160999. Let z(l) = -85*l + 35. Let d be -2*3/(-6)*0. Suppose 2*w - 4*w + 70 = d. Calculate w*q(i) + 2*z(i).
5*i
Let w(k) = 23*k - 2503. Let p(x) = 28*x - 2505. Give 5*p(r) - 6*w(r).
2*r + 2493
Let k(p) = 12*p**2 - 21. Let o(b) be the third derivative of b**5/20 - 5*b**3/6 - 517*b**2 + 2*b. Give 5*k(l) - 21*o(l).
-3*l**2
Let c(h) = -39*h**3 + h**2 + 2*h + 5. Let o be c(-3). Let g(w) = o*w - 1061*w + 13 - 12*w**3 - 2*w**2. Let n(b) = 6*b**3 + b**2 - 6. What is -6*g(p) - 13*n(p)?
-6*p**3 - p**2
Let o(k) = 35*k**2 + 2*k. Let r(h) = -99*h**2 + 17854636*h - 17854643*h - 6*h**2. Give 7*o(c) + 2*r(c).
35*c**2
Suppose -209*f + 208*f - 409 = 2*v, -3*f = -5*v -
|
{
"pile_set_name": "DM Mathematics"
}
|
3*n - q = 10. Solve -2*i - 2*i = 2*r - 14, -n*i = -r - 5 for i.
2
Suppose -q = 3*i - 14, 3*i + q + 6 = 4*q. Let c = -30 + 30. Suppose -i*t + c*t = 0. Solve 1 = -r + 5*l + 5, -5*r - 5*l + 20 = t for r.
4
Suppose -2*g - 4*g + 12 = 0. Let a(s) = s**2 - 4*s - 12. Let x be a(7). Solve 3*d - 3*l + x = 0, d + 2*l - 4 = g for d.
0
Let c = 26 + 25. Suppose c = 8*f + 11. Solve -3*a + 0*a = 0, -20 = f*y - 5*a for y.
-4
Let l(c) = -c**2 + 5*c + 5. Let t be l(5). Suppose z - 3 = -2*j, 0*z = t*j - z - 11. Suppose -12*g + 59*g + 7*g = 0. Solve -3*n = g, 0 = j*x + n - 6*n for x.
0
Let h(w) be the second derivative of -w**3/6 + 5*w**2 + 2*w - 20. Let u be 0 + 0 + (-7)/(-1). Let o be h(u). Solve 4*g + 10 = -o*n, 2*g + 4 = -n - 2 for g.
-4
Let y be (267/356)/(2/8). Solve 5*h + 19 = 5*o - 6*o, -21 = 3*o + y*h for o.
-4
Suppose 20 = -8*c + 44. Solve 15 = -3*a - 2*a - 5*j, a - j - c = 0 for a.
0
Let w(k) = k + 15. Let f be w(0). Suppose f = l + 10. Solve i = 3*z + 14, l*z - 4*i + 8 + 13 = 0 for z.
-5
Suppose -3*f + 3*n - 6 = 4*n, 4*f = 2*n - 8. Let t = 2 + f. Let m(q) = 2*q - 4. Let u be m(4). Solve 2*p - 2 = -t*p, 8 = -u*k + 4*p for k.
-1
Suppose -6*u = -20 + 8. Solve 3*t = 19 - 4, -u*b = 2*t - 10 for b.
0
Let x = 51 + -48. Let i be -2 - (-5)/(10/4). Solve i*q = 4*s + x*q - 9, -5*s - 4*q + 12 = 0 for s.
0
Let y(u) = -15*u + 12. Let j be y(2). Let h = j + 23. Solve -3*x + 15 = 0, -h*b - 2*x = -0*b - 25 for b.
3
Suppose -3*s = 9, 20*p + 3*s - 39 = 17*p. Solve -n + 4*b + p = 0, 0*n - 5*n = 3*b + 35 for n.
-4
Let k(f) = f**3 - f**2 - f - 171. Let v be k(0). Let b be (-4)/18 - 380/v. Solve -2*q - b = -s + 10, 0 = -3*s + 3*q + 21 for s.
2
Let d(l) = l**2 - 17*l + 18. Let a be d(16). Let t = -7 + 16. Let p be 0/(0 - (2 - 0)). Solve 4*h + x = t, -3*h + p*x - 7 = -a*x for h.
1
Let t = 59 - 55. Suppose -8*r + 6*r = -t. Solve -r*o + 3*u = -7*o - 20, u = 3*o - 2 for o.
-1
Let c = -427 + 432. Solve -3*f + 8*f - 40 = -c*t, -t + f + 2 = 0 for t.
5
Let h = -55 - -64. Solve -v - 2*v = -5*i + h, -v = -4*i + 3 for v.
-3
Suppose -4*b - 6 = -3*r - 125, b - 16 = -2*r. Suppose 4*z - b = -6. Solve 3*k - 2*u + 1 - 3 = 0, -u = z*k + 14 for k.
-2
Let n(b) = -b**3 - 16*b**2 + 78*b - 35. Let a be n(-20). Solve a*g + 30 = 5*m, -21 = -3*m + 2*g - 4 for m.
5
Let u(g) = 2*g + 77. Let i be u(-37). Suppose -2*w - 4*x = 8, 0*x + 3 = -x. Solve -i*c - 5*s - 5 = -c, s = -c + w for c.
5
Suppose 9*v - 4*v = -3*r + 114, 5*v = 2*r + 99. Let d be 14 + -10 + 14 + -3. Solve -4*h + 4*k = -d - v, 2*h = -2*k + 2 for h.
5
Let n be -1 + -2 - -1*4. Suppose 398 - 389 = 3*g. Solve -2*q - n = -f + g, 2*f - q - 5 = 0 for f.
2
Let y be ((-5)/15)/(34/(-306)). Solve 0 = f + 3*w + 5, 0 = -f + y*w + 5 + 2 for f.
1
Let h be (-12)/(-14)*140/40. Solve -5*n + h*n = 4*a + 14, 0 = -4*n - 4*a - 16 for n.
-1
Let t = 64 + -62. Solve 0 = 2*x + 3*o + 6 + 5, t*x + 16 = -4*o for x.
2
Let i(y) = y**3 - 24*y**2 + 21*y + 49. Let f be i(23). Solve 0 = 5*d - 5*j + 30, -5*d + 6*d - 14 = -f*j for d.
-1
Suppose 3*f = -0*f - 246. Let l = f - -49. Let s = -28 - l. Solve -8 = -h - s*i, -h + 2*h + 3*i - 4 = 0 for h.
-2
Let h = 1405 - 1403. Solve 0 = n - 3*g - 10, -4 = 5*n + h*g + 31 for n.
-5
Suppose 8*l = 2*l + 42. Suppose 0 = 2*g - l*g. Solve -13 = 5*f + v, g = 3*f + 2*v + 4 + 1 for f.
-3
Suppose 0 = -4*p + 14 - 2. Suppose -4*t + 34 = 14, 3*q + 3*t = 24. Suppose q*b + 9 - 21 = 0. Solve -2*x - w = 2*x - 16, 0 = p*x + b*w - 12 for x.
4
Suppose -162*m - 28 = -169*m. Solve 4*o = -2*k, 0 = 5*k + 3*o - m*o for k.
0
Suppose 5*p = -2*w + 24, -5*w + 8 - 2 = -p. Let c be w/(-2)*250/(-10). Solve -5*u = -5*m - c, -3*m + 2*u + 2*u - 15 = 0 for m.
-5
Let d(i) be the second derivative of -2*i**3/3 + 57*i**2/2 + 8*i. Let r be d(13). Solve -5 = -0*p + p, r*p + 15 = -2*v for v.
5
Suppose 3*q - 70 = -61. Solve q*o - 4*u + 2*u = 8, -2*o + 8 = -4*u for o.
2
Let y(u) = -u**3 + 15*u**2 - 26*u + 3. Let j
|
{
"pile_set_name": "DM Mathematics"
}
|
he nearest 1000.
9000
Let y be (-9)/(9/(-2)) - -17. Suppose y = 6*v + 1. Suppose 5*l = -4*k - 392000, -2*k + v*k + 98000 = -4*l. Round k to the nearest 10000.
-100000
Let d = 56 - 49. Suppose d*q + 124753745 = 24653745. Round q to the nearest one million.
-14000000
Let d = 231 - -314. Let n = d + -1045. Round n to the nearest one hundred.
-500
Let h = -6 - -9. Let w be (-12000)/(-15)*(6150/4)/h. Round w to the nearest one hundred thousand.
400000
Let q = 30.00000768 + -30. Round q to 6 dps.
0.000008
Let j = -7.26 + 7.1381. What is j rounded to two dps?
-0.12
Let i = 146 - 228. Let l = i - -82.057. Round l to two dps.
0.06
Let q = 1.3 + -3.3. Let w = q + -13. Let g = w + 14.998. What is g rounded to 3 decimal places?
-0.002
Let b = -988.1081 - -5750429.1081. Let s = b - 5749440.80999948. Let o = -0.19 + s. Round o to seven decimal places.
0.0000005
Let c = 38844.8551 + -38841. Let m = c + 156.9839. Let l = -161 + m. What is l rounded to two dps?
-0.16
Let j(l) = -17939*l + 2. Let m be j(-3). Suppose 0 = -4*c + 36181 + m. What is c rounded to the nearest 1000?
23000
Suppose 318 = 2*i + 308. Let u(m) = -214*m**3 - 3*m - 2. Let h be u(-2). Let v be -2 - i/(10/h). What is v rounded to the nearest 100?
-900
Suppose 9 = 27*j - 24*j. Let p be 3 + 3/j - -231996. Round p to the nearest one hundred thousand.
200000
Suppose 2*k = k + 4, -k = 5*s - 120004. Round s to the nearest 1000.
24000
Let b = -4252.48387795 + 4181.48388. Let f = 71 + b. What is f rounded to 7 decimal places?
0.0000021
Let x = -1177.76 - -1266. Round x to 0 dps.
88
Let k = 13529 + -5564. Suppose 3*x = 2*t + t - 5976, 4*t - 5*x = k. Suppose -w + t = -v, -2*v - w - 3985 = -4*w. Round v to the nearest 100.
-2000
Let r = 2.67 + -1.41. Let s = r - 1.2559. Round s to 3 dps.
0.004
Let g = -110.6598 + -23.9112. Let p = g - -90.5862. Let n = p - -44. What is n rounded to 3 decimal places?
0.015
Let v = 1.5 - 1. Let o = -14131 + 14131.50001. Let s = v - o. What is s rounded to 5 decimal places?
-0.00001
Suppose -3*t + 5*a = a + 1830, -2*a - 1812 = 3*t. What is t rounded to the nearest 100?
-600
Let z = -242 + 241.999918. What is z rounded to 4 dps?
-0.0001
Let u = -973.752 + 952. Let x = u - -24.6. Let w = x + -2.9. Round w to 2 dps.
-0.05
Let o = 90.3 - 101. Let j = 10.7000102 + o. Round j to 6 decimal places.
0.00001
Suppose h - 147976 = -5*m, 3*h - 443976 = -0*h - 3*m. Suppose 0*y - y - c - h = 0, -3*c - 739988 = 5*y. What is y rounded to the nearest ten thousand?
-150000
Suppose 0 = -b - 21 - 15. Let a = 38 + b. Round a to the nearest 10.
0
Let m = 1343 - 1343.03828. Round m to 2 decimal places.
-0.04
Let d = 1082.6366 - 1083. Round d to 2 dps.
-0.36
Let j = 1.745 + -0.298. Round j to one decimal place.
1.4
Let d = -6764 - -6764.03291. What is d rounded to three decimal places?
0.033
Suppose 3*o - 9*o - 588 = 0. Let b(k) = 16*k**2 - 1. Let r be b(-2). Let i = r + o. Round i to the nearest ten.
-40
Let q = -0.06364 - 78.74636. Let m = 0.19 - q. Let r = m - 78.999937. Round r to 5 dps.
0.00006
Let h = -12.1 - -13. Let u = -12.7 - -13.7. Let v = h - u. Round v to 1 decimal place.
-0.1
Let u(w) = w - 1. Let x be u(6). Suppose 9 = -3*c, -113251235 = -x*i - 2*c - 3*c. Suppose -i = -3*y + 6449750. What is y rounded to the nearest one million?
10000000
Let m be ((-3)/1 - 2) + 36007. Let g be 10*m/(-4) + 5. Round g to the nearest one hundred thousand.
-100000
Let m = -1.06 + 96.06. Let s = m - 94.999921. What is s rounded to 5 dps?
0.00008
Let f = 198 - 222.1. Let q = f + 0.1. Let l = 23.999985 + q. What is l rounded to 6 dps?
-0.000015
Suppose -5*a - 5*h + 371985 = 0, -223185 = -3*a - 6*h + h. Suppose n = 4*n + a. Round n to the nearest one thousand.
-25000
Let o = 36.63 + -36.63002033. Round o to six decimal places.
-0.00002
Let s = 234.86 + -233. Let i = s + -1.8521. Round i to three dps.
0.008
Let b(r) = 3*r**3 - 15*r**2 + 19*r - 12. Let y(w) = -10*w**3 + 46*w**2 - 57*w + 37. Let j(h) = -7*b(h) - 2*y(h). Let l be j(13). Round l to the nearest ten.
-240
Let n = -2.605 - -0.44. Let r = n + 2.1. What is r rounded to two dps?
-0.07
Let s = -0.011 - 51.989. Let b = -51.973 - s. Let a = b - 0.02. Round a to 3 dps.
0.007
Let v = 0.779 + -0.77905786. What is v rounded to 5 dps?
-0.00006
Let g = -109 + 111.8. What is g rounded to the nearest integer?
3
Suppose -4*h = -3012 - 600. Round h to the nearest ten.
900
Suppose 3*d + 987 = -2*p + p, -2*p = -3*d + 1983. Round p to the nearest 100.
-1000
Let j = 1886.43 + -1876. Round j to the nearest integer.
10
Let a = 160.61 + 1.39. Let z = a - 162.186. What is z rounded to one dp?
-0.2
Let k = 12.9 + -168.9. Let y = k - -155.9687. Round y to 3 decimal places.
-0.031
Suppose 2*x - 104793 = 104131. Suppose 85538 = -5*a - x. Round a to the nearest 10000.
-40000
Let t = 329927 - 225628. Suppose 3*j = -t - 48701. Round j to the nearest 10000.
-50000
Let t(q
|
{
"pile_set_name": "DM Mathematics"
}
|
09, -2/15, 1/3, 1/2
Sort 2/13, -2, 14634 in ascending order.
-2, 2/13, 14634
Put -2/7, 0.1, 0, 260, 2 in increasing order.
-2/7, 0, 0.1, 2, 260
Sort -23, 1, 0, 15, -10.
-23, -10, 0, 1, 15
Put -41, -5, 1, 0, -2, 28 in ascending order.
-41, -5, -2, 0, 1, 28
Sort -1, 5, -17, -3, -2, -31 in decreasing order.
5, -1, -2, -3, -17, -31
Sort 0, -2, 42, 2, 66.
-2, 0, 2, 42, 66
Put -1, 1, 4215, -4 in increasing order.
-4, -1, 1, 4215
Sort 0, 3, -3, 399, 5, -2 in descending order.
399, 5, 3, 0, -2, -3
Put 0.2, -24/5, -1/7, -0.4, 5, 0.4 in descending order.
5, 0.4, 0.2, -1/7, -0.4, -24/5
Sort -1, 0.2, -443980.
-443980, -1, 0.2
Sort 4, -58, 2/7, -3/4, 4.6, -2 in descending order.
4.6, 4, 2/7, -3/4, -2, -58
Put -188, -2, -1, -23, 2 in increasing order.
-188, -23, -2, -1, 2
Put -7.6, 1.7, 0.4 in descending order.
1.7, 0.4, -7.6
Sort 24, 1.83, -2/7, 1, 0 in descending order.
24, 1.83, 1, 0, -2/7
Put 9, 26, 6, -10, 1 in increasing order.
-10, 1, 6, 9, 26
Sort 6.8, -2.6, 43 in decreasing order.
43, 6.8, -2.6
Sort -4, 14, 17, 5, -2234 in decreasing order.
17, 14, 5, -4, -2234
Put -32, 8, 5, 2, -8 in descending order.
8, 5, 2, -8, -32
Put -19, -5, -2, -355, -4 in ascending order.
-355, -19, -5, -4, -2
Put -5, 437, 341 in decreasing order.
437, 341, -5
Sort 3, 20, 11, 0, -75, 5.
-75, 0, 3, 5, 11, 20
Put -1/5, 9, 0.5, -0.1, -2/7, 0.19 in decreasing order.
9, 0.5, 0.19, -0.1, -1/5, -2/7
Put 5, -5, 2/13, -0.49, 18 in decreasing order.
18, 5, 2/13, -0.49, -5
Sort -0.2, -1/92, 17 in decreasing order.
17, -1/92, -0.2
Put 18, 4, -3, 2, -286 in decreasing order.
18, 4, 2, -3, -286
Sort 5, 0, 1, 57, 54, -2 in descending order.
57, 54, 5, 1, 0, -2
Put 56, -181, 5 in decreasing order.
56, 5, -181
Sort -4, 2, -6, 129, 4, -2 in decreasing order.
129, 4, 2, -2, -4, -6
Sort -3, 0.5, 19/79 in descending order.
0.5, 19/79, -3
Sort -3/2, 0.2, -14, -11/6, -2.9 in ascending order.
-14, -2.9, -11/6, -3/2, 0.2
Sort 0.89, -1/9, 0.2, 3/4 in decreasing order.
0.89, 3/4, 0.2, -1/9
Sort 627, 4, 0.08, 0.1 in ascending order.
0.08, 0.1, 4, 627
Put -3, 2/11, -0.5, -27, -1 in descending order.
2/11, -0.5, -1, -3, -27
Sort 10, 2, -2, -16, -4/9 in decreasing order.
10, 2, -4/9, -2, -16
Sort -2/23, -9, -5, 3, -6.
-9, -6, -5, -2/23, 3
Sort 0.8, -8, 2/7, -33, 0.3.
-33, -8, 2/7, 0.3, 0.8
Sort 2/7, 3.57, 0, -0.2, -0.35, 3/4.
-0.35, -0.2, 0, 2/7, 3/4, 3.57
Put -2, 1.1, -58, 0.1, 0, -5 in ascending order.
-58, -5, -2, 0, 0.1, 1.1
Sort 16, -15, 4, -4, 1 in descending order.
16, 4, 1, -4, -15
Sort -58, 5, 0, 2, -620 in decreasing order.
5, 2, 0, -58, -620
Put 29, -5, -7, -42, 4 in increasing order.
-42, -7, -5, 4, 29
Sort 116, 8, 17, 4, 1 in decreasing order.
116, 17, 8, 4, 1
Put 1, -1, 5, -1/4, -7, 1/3 in decreasing order.
5, 1, 1/3, -1/4, -1, -7
Put 0.2, 1, -0.07, 11, 0.3 in decreasing order.
11, 1, 0.3, 0.2, -0.07
Put -3, 1, -216889 in descending order.
1, -3, -216889
Sort -192, 4398, -4 in decreasing order.
4398, -4, -192
Sort 3/2, 743, -2, 0.2, -8/3 in descending order.
743, 3/2, 0.2, -2, -8/3
Sort 4, 6, -2, -17, 2.
-17, -2, 2, 4, 6
Sort 7, 311, -13 in descending order.
311, 7, -13
Put -12, 1, 3, 188, 12 in ascending order.
-12, 1, 3, 12, 188
Put 110, 2, 6, 5 in increasing order.
2, 5, 6, 110
Sort 5, 2/9, -87573 in descending order.
5, 2/9, -87573
Sort 291, 1, 0, -2.
-2, 0, 1, 291
Sort -2/19955, 2/29, 5 in ascending order.
-2/19955, 2/29, 5
Sort 0.3, -0.3, -123, -1.
-123, -1, -0.3, 0.3
Sort -2, -5, -3683, 0, -35.
-3683, -35, -5, -2, 0
Sort 322, -5, 5, -9, -35 in descending order.
322, 5, -5, -9, -35
Put -8, -1, 0, 1, -413 in decreasing order.
1, 0, -1, -8, -413
Sort -0.4, 11, 0.1, 92, 3/2, 13/2 in descending order.
92, 11, 13/2, 3/2, 0.1, -0.4
Put 0, -5, -0.09, -0.9, 204 in decreasing order.
204, 0, -0.09, -0.9, -5
Sort 496, 2013, -2, -3 in ascending order.
-3, -2, 496, 2013
Sort 191, -4, 107 in increasing order.
-4, 107, 191
Put 3, 5, -2, 1, 4, 57 in decreasing order.
57, 5, 4, 3, 1, -2
Put -4, 10
|
{
"pile_set_name": "DM Mathematics"
}
|
v + 3*x, 2*v - 38 = -4*x. Suppose -5*d - 2*l + v = 0, -5*d + d - 5*l + 10 = 0. Does 4 divide d?
False
Let g be (-27)/9*10/(-6). Suppose 3*t = -3*w + 111, -g*w - 47 = -4*t + 101. Is t a multiple of 16?
False
Let f = -17 - -17. Let g(y) = y**3 + y + 51. Let a be g(f). Suppose -3*t - 3*u + 153 = 0, 0 = -t - 0*u - 2*u + a. Is t a multiple of 17?
True
Suppose -4*z - 9 = -5*z. Let p be 412/(-6) + (-3)/z. Let v = p + 105. Is v a multiple of 12?
True
Let l = -229 + 271. Let a(g) = 14*g. Let p be a(2). Let x = l - p. Is 7 a factor of x?
True
Suppose -3 = -7*k + 4. Is 3 a factor of (k + (-141)/9)/((-14)/21)?
False
Suppose 18*b - 282 = 1212. Does 81 divide b?
False
Let v(z) = 11*z + 82. Does 8 divide v(3)?
False
Let z = -18 - -22. Let m be 4/(-1)*(z - 5). Suppose 69 = m*f + 5*i, -3*i = 2*f + i - 42. Does 9 divide f?
False
Let o = -7 - -11. Suppose -1 + o = s, -q = 4*s - 16. Suppose q*z - 5*n = 50, -3*n + 9 = z - 12. Does 4 divide z?
False
Let f(d) = 9*d**2 - 60*d + 840. Is 27 a factor of f(11)?
True
Let l be ((-46)/(-4) - -4)*2. Is 17 a factor of (l/(-4) - 2)/(3/(-12))?
False
Let k = -1550 - -2730. Is 20 a factor of k?
True
Let i be 4 - -1331*1 - 1/(-1). Does 19 divide i/14 + (-30)/70?
True
Suppose 0 = 4*x - 4*l - 14912, 3*x + 4*l = x + 7432. Is 28 a factor of x?
True
Let c be 130/(-4)*(-28)/(-35). Suppose -3*p + 0*p = 330. Let i = c - p. Is i a multiple of 36?
False
Let u = -1256 - -1769. Is 3 a factor of u?
True
Suppose 5*y = 2*g + 330, -2*y = 6*g - 5*g - 123. Is 12 a factor of y?
False
Let r = -5 + 7. Let f be ((-14)/(-21))/(r/(-9)). Is (-24)/f + 1*-2 a multiple of 2?
True
Let s(y) = -7*y + 4. Let j(m) = -21*m + 13. Let i(a) = -2*j(a) + 7*s(a). Let k be 4 + 0 + -6 + 6 - 8. Does 9 divide i(k)?
False
Let c(h) = 22*h - 19. Let u(t) = -t**3 + 18*t**2 + 18*t + 24. Let o be u(19). Is 18 a factor of c(o)?
False
Suppose -31 = -8*b + 9. Suppose b*w = 4*t + 17, -5*w + 22 = -w + t. Is 2 a factor of w?
False
Let g(s) = 20*s**2 + s - 1. Let v = 25 - 24. Does 2 divide g(v)?
True
Let y(s) = 2*s**2 - 11*s - 10. Suppose 0 = 7*g - 9*g + 20. Is y(g) a multiple of 20?
True
Suppose 13 = a + 2*o, -2*o + o + 5 = 0. Let p(q) = q + 6. Let g be p(-3). Suppose g*z - 13 = -5*d, -d = -a*z + 27 + 10. Does 3 divide z?
False
Let a(f) = 8*f + 2*f**2 + 6 + 3 + f**2. Let v be a(-6). Suppose v - 17 = 4*q. Is 13 a factor of q?
True
Let d(q) = 83*q + 12. Let a be d(8). Suppose -6*c + a = -44. Suppose 0*k + c = 4*k. Is 15 a factor of k?
True
Suppose 114 + 62 = 2*m. Does 15 divide m?
False
Let p be (-4)/(-10)*1028 + (-4)/20. Suppose -5*s + 84 = -p. Is 13 a factor of s?
False
Let o = 88 - -32. Does 15 divide o?
True
Let b(d) = 9*d**2 + 24*d - 33. Let t(f) = -5*f**2 - 12*f + 17. Let s(o) = -4*b(o) - 7*t(o). Is 24 a factor of s(-11)?
True
Let c be (-9)/6*2 + 21. Suppose -4*i = 5*f - c, -2*i = -3*f - 5*i + 12. Suppose f*r - 10 = 2*y + 14, 0 = -5*r + 3*y + 64. Is r a multiple of 7?
True
Let x = -401 + 503. Is x a multiple of 5?
False
Let r(b) be the third derivative of b**5/20 - b**4/6 - b**3/6 + 4*b**2. Let i be r(4). Suppose -3*w = 2*x + 26 - 79, -x + i = -3*w. Is x a multiple of 11?
False
Suppose -43 - 17 = -f + 2*g, 2*f + 5*g - 129 = 0. Let c(u) = -u + 1. Let p be c(-2). Suppose p*v - f = -17. Does 15 divide v?
True
Suppose 90 = -12*u + 17*u. Let g(i) = i**2 + i - 2. Let b be g(4). Let o = b + u. Does 15 divide o?
False
Let p(x) = x**3 + 3*x**2 + 3*x + 1. Let m be p(-2). Let v be 14/(-7) + m + 16. Is 142/8 - v/(-52) a multiple of 18?
True
Suppose 0 = -u + 4*u. Suppose c + u*c - 2 = 2*k, 4*c - k - 15 = 0. Suppose -m + 10 = j - 34, -j + 56 = c*m. Does 20 divide j?
True
Let z(d) = -d**3 - d**2 + 2*d + 208. Is z(0) a multiple of 8?
True
Let o(w) = w**3 + 11*w**2 - 6*w - 42. Is o(-8) a multiple of 6?
True
Does 9 divide 3707/44 + 6 + 5/(-4)?
False
Let p(t) = 810*t**2 + 5*t - 7. Is 49 a factor of p(-1)?
False
Let r be 3 + -2 - (-3 - -5). Let y(w) = 6*w - 9. Let l be y(8). Is r/(1 + l/(-36)) a multiple of 8?
False
Suppose 0 = -4*u - u + 8460. Does 50 divide u?
False
Let t = 14 - 2. Let w = 97 - t. Is 12 a factor of w?
False
Let k(j) be the second derivative of 2*j + 0 + 0*j**3 + 1/12*j**4 + 5/2*j**2. Is 9 a factor of k(-3)?
False
Suppose -2*g - 3*x + 3 + 2 = 0, -25 = -3*g - x. Let w = 51 + g. Does 8 divide w?
False
Does 33 divide 742 + (-1 - -1) + 5 + -1?
False
Let s(w) = w - 75. Let i(t) = -t. Let u(l) = i(l) - s(l). Is u(-23) a multiple of 31?
False
Suppose 30 = -4
|
{
"pile_set_name": "DM Mathematics"
}
|
-4/7
b
Let j = -9.98 - 0.02. Let n = -8/3 - -25/6. What is the third smallest value in n, -3, j?
n
Let f be 1 + 392/10 - 1. Let w = 39 - f. Let m be 1 + (-48)/14 + 2. Which is the smallest value? (a) m (b) w (c) 2
a
Let x = 30 - 30.5. What is the biggest value in -0.3, x, 5?
5
Let d = 25.5 + -17.4. Let k = d - 8. Let u(s) = s - 5. Let h be u(6). Which is the second biggest value? (a) 0 (b) k (c) h
b
Let s = 10/21 + -64/105. Let h = 0 + -1. Which is the third biggest value? (a) 1/2 (b) s (c) h
c
Let d = 79.5 - 79. Which is the third smallest value? (a) 3/4 (b) d (c) -0.1
a
Let m = -8.3 - -4.3. What is the third biggest value in 5, m, -0.5, 3?
-0.5
Let v = -319 - -2555/8. What is the biggest value in -3, 1/8, -5, v?
v
Let r = -12.5 + 13.5. What is the third biggest value in -2, r, 3?
-2
Let w = 0.6 - 1.6. Let s = -0.2 - -0.4. Let i = s + -0.2. Which is the third smallest value? (a) i (b) 5 (c) w
b
Let h = -7 - -7.4. Which is the biggest value? (a) 3 (b) h (c) 1
a
Let s(d) = 2*d + 17. Let p be s(-10). What is the fourth biggest value in -2/9, -4, -0.06, p?
-4
Let a = -133 - -132.9. What is the second biggest value in a, 5, -12, -5?
a
Suppose 2*j = s, -s - 8 = -0*s + 2*j. Let m be 5/45*(s - -1). What is the second smallest value in -1, 5, m?
m
Let f be (-95)/(-25) + 0 + -4. Let s = 27.78 - 28. Let p = -0.08 + s. What is the third smallest value in 4, p, f?
4
Let x(z) = z - 2. Let q be x(2). Let g = 0.22 + -0.02. What is the smallest value in 1, q, g?
q
Let o = -76 + 77. What is the third smallest value in o, -0.01, -1?
o
Suppose 2*t - 7 = k - 3, -5*t - 2*k = -10. Which is the fourth biggest value? (a) -1/2 (b) -0.1 (c) -1 (d) t
c
Let r = 1.2 + -1.1. Let c = 5.45 - 0.05. Let k = 5 - c. What is the third smallest value in 0, r, k?
r
Suppose 2 = -5*q - 5*y - 8, 2*y + 13 = -5*q. Which is the smallest value? (a) 0.5 (b) q (c) -1/2
b
Let h be (-17)/(-5) - 1 - 3. Which is the second smallest value? (a) -13 (b) h (c) 2/9
b
Suppose 35*p + 3 = 32*p. Which is the biggest value? (a) 17 (b) p (c) 1
a
Let j = 10.07 + -0.07. Let d = -7 + j. Let g = 143/3 - 47. Which is the third biggest value? (a) d (b) -3 (c) g
b
Let t = 71.08 - 68. Let v = -0.08 + t. Let b = -23 + 21. What is the biggest value in b, 3/2, v?
v
Let c = -1.4 - -0.5. Let g = -2.1 + c. What is the smallest value in 1/2, g, -5?
-5
Let p = -53/5 - -57/5. Let k(d) = -d**3 - 7*d**2 - 6*d + 1. Let l be k(-6). What is the second smallest value in l, 0.3, p?
p
Let q = 4 + -3. Let r = -0.4 - -0.52. Let n = -4.88 - r. Which is the biggest value? (a) -0.5 (b) q (c) n
b
Let k = -0.063 + -0.937. Let u = -2 + 6. What is the second biggest value in 11, u, k?
u
Let x = -117 - -119. Which is the second biggest value? (a) -0.17 (b) 5 (c) -1 (d) x
d
Let z = 5/11 - 13/77. What is the second biggest value in 2, -2/7, z, -1?
z
Let d be (2 + 0)/(-11 + 15). Which is the second biggest value? (a) 4 (b) -2 (c) d
c
Let v = -68 + 71. What is the smallest value in 1, v, 0.04?
0.04
Suppose -2*k - 6 = -0*k. What is the biggest value in -2/23, -2/9, 0.2, k?
0.2
Let q = 11 + -7. Let w = 10 - 11. Let d be 10/660 + w/(-6). Which is the smallest value? (a) d (b) 1/7 (c) q
b
Let l = 1 - 0. Let r = 7 - 11. What is the third smallest value in r, -3/2, l?
l
Let o(y) = y**3 - 6*y**2 - 8*y. Let j be o(7). Let d = j - -5. Which is the smallest value? (a) 5 (b) d (c) -1
b
Let d(v) = -v**2 - 4*v - 2. Let w be d(-3). Let u = 5 - 2. Let k = u - 2.6. What is the biggest value in k, -3, w?
w
Let s be 6/8*16/30. Let p = -157/5 + 31. What is the third smallest value in s, p, 0.2?
s
Let t = -0.58 + -0.12. Let m = -1 - t. Which is the third smallest value? (a) 0.5 (b) 5 (c) m
b
Let h = -44 - -39. What is the biggest value in 2/11, h, 0.1?
2/11
Let d = 3.34 + -0.34. What is the third smallest value in 9, -3/5, d?
9
Let z be 2/9 + 13/(-18). Let u = 23 + -40. Let q = u + 22. Which is the third biggest value? (a) q (b) 0.5 (c) z
c
Let t be 68/(-180) + 4/(-18). Which is the second smallest value? (a) -0.1 (b) t (c) -0.5
c
Let o = -0.6 + 5.6. Let s = -4 + o. Let c = 2.05 + -0.05. What is the third smallest value in 0, c, s?
c
Let f = 4/3 - 1. Let j be -4 - (1/(-2) - 0). Let o = 3 + j. Which is the second smallest value? (a) o (b) 3 (c) f
c
Let q be (-3)/117*-6 - (-35)/(-143). What is the third biggest value in q, 1/2, -1/7?
-1/7
Let s = -0.2 - -0.4. What is the second smallest value in -4/5, s, 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
(o*(o*o/o**(1/4))/o)/o*o*o)/(o**(2/11))**(-2/91))**40)**41 assuming o is positive.
o**(23002640/3003)
Simplify p*p*p*p**(-26/3)*p*p*p/p**(7/3)*p*p**(-3/2)*p*p**(-46) assuming p is positive.
p**(-101/2)
Simplify (b/(b/(b/(b/b**(-2/9)*b)*b)))/((b**30/b)/b)*(b*b*b**(-20))**8 assuming b is positive.
b**(-1550/9)
Simplify (m**(-7)*m*m/(m**(-14)/m)*(m/(m**(-27)*m)*m)**(-1/8))**19 assuming m is positive.
m**(247/2)
Simplify (g**(-3/7)/(g*g/g**(3/5)))**(-6/5)/(g**(2/3)*(g*g*g**(1/6)/g)/g*(g*g**(-1))**18) assuming g is positive.
g**(1429/1050)
Simplify ((l*l**(1/30))/l*l**(-1/9))/(l/l**(-12))**(-2/9) assuming l is positive.
l**(253/90)
Simplify ((((p/((p**5/p)/p))/p**(-1/7))**(4/5))**(-1/50))**(23/5) assuming p is positive.
p**(598/4375)
Simplify ((i**(-12/5))**(-42)/((i*i**(-12/11))/(((i/(i*(i/(i*i**37*i))/i*i))/i)/i)))**(-1/19) assuming i is positive.
i**(-7529/1045)
Simplify (x**4*x*x**(1/2)*x*x/x**6*(x*x/x**(1/5))/x*x)/((x*x/x**4)**(1/2))**(28/5) assuming x is positive.
x**(89/10)
Simplify (((y*y*y/(y**(1/10)/y))/y)/y**(7/3))**(-1/56)*((y**(-4)/y*y)/(y*y**(-4/9)))/(y**(-3/4)*y**(3/8)*y) assuming y is positive.
y**(-26161/5040)
Simplify ((v**(1/5)*v)/(v*v**(2/11)))/(v**(-8)/v**(-2))*(v/(v/(v*((v*v**(-2/9))/v)/v)))**12*(v/v**(-1/2))**(-3/37) assuming v is positive.
v**(39437/12210)
Simplify (z/(z*z**(-8/7))*z**(1/4)*z**(19/3)*z**(3/14))**39 assuming z is positive.
z**(8671/28)
Simplify (a**(-2/9)*a*a**(4/7)*a)**(-1/5)/((a**(2/19)/a*a**(1/5))/(((a*a/a**(-6)*a*a)/a)/(a/(a*a*a*a/(a/(a**(1/3)/a))*a)))) assuming a is positive.
a**(69176/5985)
Simplify (b**(-2)/(b/b**5)*(b*b/(b**(-1)/b)*b)**(3/19))/((b*b**0*b)**(7/3))**7 assuming b is positive.
b**(-1703/57)
Simplify (((o**(2/17)/o)/o)/o)**(1/3)/(o*o*o/((o/(o/(o/(o*o*(o**(-4)/o*o)/o))))/o))**18 assuming o is positive.
o**(-49/51)
Simplify (x**(-1/2)*x**(2/7))/(x/x**0*x)**(-35)*(x**0/(x**(-4)*x))**42 assuming x is positive.
x**(2741/14)
Simplify ((x**(-1))**(-21/5)*(x/(x/(x/(x**1*x*x))))**(-39))/((x**0)**17*x/x**(3/5)*x*x**(2/3)) assuming x is positive.
x**(1202/15)
Simplify (t**30*t*t/(t/t**(1/16))*t*(t**(2/11))**(-6/11))**42 assuming t is positive.
t**(1299501/968)
Simplify ((u**(-17/4))**(2/9)*(u**(-22)/u)/u**(-31))**(-8/11) assuming u is positive.
u**(-508/99)
Simplify (w*w**4*w**(-4))**(-28)*((w*w**(-2))/w*w*w*w**2)/(w*w**(-1/7)*w*(w**(-3)/w)/w*w*w) assuming w is positive.
w**(-174/7)
Simplify (r**(-2/7))**(-6/31)*r*r**2*r*r*((r**(2/11)*r)/r)/r*(((r/r**(-8)*r)/r)/(r/r**2))**(-2/23) assuming r is positive.
r**(184882/54901)
Simplify ((w/(w/w**(-2/7)))/w*w/(w**(2/7)*w))/(w**5/w**(-3/2))*w*w/w**0*w/((w/w**(5/2)*w)/w)*w**0*w*w**(1/8) assuming w is positive.
w**(-137/56)
Simplify (((g*g**2)/g)**(-3/37)/(g*g**(-10)*g*g/(g*g*g**(1/17))))**(-45) assuming g is positive.
g**(-251820/629)
Simplify (y*y*y**(-1/13)*(y**(1/19)/y)/y*y*(y*y*(y**(2/3)/y*y)/y*y*y)**(-38))**(-3/11) assuming y is positive.
y**(102523/2717)
Simplify (((n**(-3)*n)/(n*n**(-4)*n))/(n**(-1))**(8/5))/((n**(-1)*n)**12)**20 assuming n is positive.
n**(8/5)
Simplify ((a**34)**(-23/2)*(a**(1/6)/a*a)**15)**21 assuming a is positive.
a**(-16317/2)
Simplify (n*n**(1/2)*n)**(7/3)*(n*(n**(-1/3)/n)/n*n)/n**(-1)*n**(-4)/(n/(n/(n**(-5)/n)))*((n/(n**6/n))/n)/(n*((n*n**3*n*n)/n)/n) assuming n is positive.
n**(-3/2)
Simplify ((((k/((k*k/(k*k**(-1)))/k))/k)/k)**(13/4))**7*((k/(k*k/(k**(1/10)*k*k)*k)*k)/(k*k**(-5)))**(-40) assuming k is positive.
k**(-499/2)
Simplify ((n*n*n/(n/n**(-7/2)))**(5/4)*n*n/n**(1/4)*((n/n**(8/11))/n)/n)**(1/2) assuming n is positive.
n**(-163/176)
Simplify j**(-47)*j**(-1/13)*j*j**(-2/7)*j**(-17)/j assuming j is positive.
j**(-5857/91)
Simplify (m**(-29)/m*m/m**(-1/15)*m*(m**25)**(-40))**26 assuming m is positive.
m**(-400894/15)
Simplify ((j**(1/2)*j**(-2/5))/(j*j**(-2)*j*j**(-3/5)))/(j**(-2)/j**(-2/3)*j/(j*j*(j*j**(-2/5)*j)/j*j)*j/j**(-1/4)) assuming j is positive.
j**(203/60)
Simplify ((z**(-2/3))**(4/9)/(z*z*z**(-5/3)*z*z*z**(2/9)))/(((z*z**(-5/3)/z*z)/z)/(z/z**(-9))*z**(2/9)*z**(-8)) assuming z is positive.
z**(448/27)
Simplify ((i**(1/2)*(i/i**(3/8))/i)/(i*i*i/i**(-3/13)*(i*i/(i/(i*i/((i*i*(i*i**(-5))/i*i)/i))))/i))/((i/i**(-1/8))**12)**(2/19) assuming i is positive.
i**(-18825/1976)
Simplify w**4/(((w*w/(w/w**(-
|
{
"pile_set_name": "DM Mathematics"
}
|
q = -2*y + 4*q + 19. Suppose -y*n + 62 = -c, w = -c + 3. What is the remainder when n is divided by 4?
1
Let f be (4/6)/((-1)/(-3)). Suppose f*p = -2*p + 12. Suppose -3*u = -0*u + 5*n - 218, -4*u - p*n = -276. What is the remainder when u is divided by 17?
15
Calculate the remainder when 9/3 - 1 - -21 is divided by 13.
10
Let b(x) be the first derivative of -x**4/4 + 2*x**3 - 3*x**2 + 4*x + 2. Suppose -2*n + 5*n = 102. Calculate the remainder when n is divided by b(4).
10
Let o(t) = t**2 - t + 13. What is the remainder when o(6) is divided by 11?
10
Suppose -n - r = -7, 2*r = 4*n - 2 + 4. Suppose i = -2*t + 7, 5*t - 34 = -5*i + i. Let d = i + -7. What is the remainder when d is divided by n?
0
Suppose x + 0*x = 16. What is the remainder when x is divided by 10?
6
Let o(z) = -z**2 + 5*z + 3. Let h be o(5). Suppose y - 5 = 2*r + h, -21 = -3*y + 5*r. Calculate the remainder when 3 is divided by y.
1
Suppose 2*a + 19*a - 1743 = 0. Calculate the remainder when a is divided by 17.
15
Suppose 48*i = 50*i - 32. What is the remainder when 110 is divided by i?
14
Suppose 69 = 3*c + 3*x - x, 0 = 4*c - x - 81. Let r = c - 6. What is the remainder when 57 is divided by r?
12
Let i(u) = -13*u + 1. Let o(c) = c + 14. What is the remainder when i(-2) is divided by o(0)?
13
Let d(n) be the second derivative of -n**4/3 - n**3/3 + n**2 - n. Let j(h) be the first derivative of d(h). Calculate the remainder when j(-3) is divided by 12.
10
Let w be (16/40)/(2/10). Suppose j = 2*n - n - w, -45 = -5*n - 2*j. Calculate the remainder when n is divided by 4.
3
Let d(i) = i**2 + i - 3. Let x be d(-3). Suppose 0 = 3*k - 2*a - 47, -k + x + 11 = -a. What is the remainder when k is divided by 10?
9
Let r be (-8)/3*(-9)/(-6). Let d = 6 + r. Calculate the remainder when d is divided by 1*3/(-1) - -4.
0
Let k = 155 + -25. What is the remainder when k is divided by 6?
4
Let h = -107 + 150. Suppose 3*f + 5*g - h = f, 0 = -2*f + 4*g - 2. What is the remainder when 24 is divided by f?
6
Let s(x) = -11*x + 5*x**2 + 0 + 15 - 2*x**2 - 4*x**2. Let q be s(-12). Suppose q*z + 250 = 8*z. What is the remainder when z is divided by 17?
16
Suppose 0 = 2*a + 3*a - 80. Let p(i) = i**3 - i. Let n be p(-1). Suppose n = -2*r - 2 + 14. Calculate the remainder when a is divided by r.
4
Let w(o) = o + 8. Let n be w(0). Suppose -4 = -3*t + n. Suppose 4*s - 68 = -t*a, -s + 21 = a + s. Calculate the remainder when 36 is divided by a.
10
Suppose 0 = y - 3 - 0. Suppose y*g + 6 = 51. What is the remainder when g is divided by 8?
7
Suppose -35 + 145 = 5*o - 5*z, 4*z = -o + 7. What is the remainder when o is divided by 10?
9
Let i(w) = 2*w + 40. Calculate the remainder when i(0) is divided by 14.
12
Suppose 0*j = -2*j - 2. Let x(p) = -3*p. What is the remainder when 5 is divided by x(j)?
2
Let v = 9 - 3. What is the remainder when 12 is divided by v?
0
Let d = 36 + -23. Let v = 5 - 9. Calculate the remainder when v/(-1)*(-74)/(-8) is divided by d.
11
Let g = 1 + 3. Suppose -2*j - 25 = -v, j + 73 - 8 = g*v. Calculate the remainder when 3/9 + 512/12 is divided by v.
13
Suppose 5*d - 53 = -4*m, -5*m + 2*d - 3*d = -82. Let p(o) = -9*o**3 + o**2 + 2*o + 1. What is the remainder when m is divided by p(-1)?
8
Let s(z) = z**2 - 2. Let d be s(5). Suppose 5*n - 5*g + 4*g = -11, -n - d = 5*g. Calculate the remainder when 18 is divided by (-2 + 5)*(-10)/n.
8
Let y be (-1 - -17) + (6 - 6). Suppose -4*a = -2*a - y. Calculate the remainder when 23 is divided by a.
7
Let b be (-3 + (-7)/(-2))*84. Suppose 4*j - b = 22. Calculate the remainder when 46 is divided by j.
14
Let g = -9 + 13. Suppose -3*d = -8*d + 3*k - 185, 0 = g*d + 5*k + 111. What is the remainder when 33 is divided by d/4*1*-2?
16
Suppose h + 0*h + 4*r = 2, 4*r + 64 = 2*h. What is the remainder when h is divided by 12?
10
Let x(j) = j - 1. Let q be x(4). Suppose 2*h - 9 + 1 = 0. Suppose -q*p - 19 = -h*p. What is the remainder when p is divided by 10?
9
Let y = -60 - -79. What is the remainder when 56 is divided by y?
18
Let s(h) = 14*h - 4. Let p(j) = j**2 - 2*j + 3. Let z be p(2). What is the remainder when s(z) is divided by 10?
8
Suppose 0*y - 4*y - 12 = 0. Let z be 17/2*(5 + y). Let r = 29 - z. Calculate the remainder when 22 is divided by r.
10
Suppose -4*w = -15*w + 286. Calculate the remainder when 231 is divided by w.
23
Suppose 4*l - 18 = -s + 4, 4*s = -4*l + 16. What is the remainder when 16 is divided by l?
4
Let m = -72 - -129. What is the remainder when m is divided by 30?
27
What is the remainder when 4 + (-56)/(-2) - 3 is divided by 8?
5
Let c = 852 - 559. Suppose 6*f - 2*f - 5*b + c = 0, 5*f + 4*b = -356. Let h = f - -104. Calculate the remainder when h is divided by 11.
10
Suppose 3*r + 10 = 5*r. Suppose -g - 24 = -r*g. Suppose -2*w = -w - 4. Calculate the remainder when g is divided by w.
2
Calculate the remainder when (-4)/14 - 7805/(-49) is divided by 40.
39
Suppose -6*g + 3*g = 15. Let r = g + 8. Suppose -w + 0*w - 7 = -3*f, f = -3*w + 19. Calculate the remainder when f is divided by r.
1
Suppose 0 = 5*t - 0*t - 15. Let k(q) = q**2 + q + 2. What is the remainder when k(-2) is divided by t?
1
Calculate the remainder when 74 is divided by ((-20)/4)/10*-30.
14
Let t = 97 - 78. Calculate the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
a = n - -5324. Calculate the common denominator of 5/36 and a.
396
Let x(d) = 23*d**2 + 186*d - 187. What is the smallest common multiple of 82 and x(1)?
902
Suppose 189*q - 202*q = -91. Calculate the common denominator of -52/57 and (2 - (-435)/(-18)) + q.
114
Let f(j) = -j**3 + 14*j**2 - 5*j - 80. Calculate the lowest common multiple of 8 and f(12).
296
Let z = -62 - -40. Let j be (-86)/(10/(1 - 6)). Let o = j + z. What is the lowest common multiple of o and 18?
126
Let b = -7 - -28. Suppose -2*c + 2*w + 4 = 0, -c + 2*w + 370 = 375. What is the lowest common multiple of b and c?
63
Let c(h) = -16*h**2 + 546*h - 38. Calculate the lowest common multiple of 24 and c(34).
120
Let x(g) = 38*g - 374. Calculate the smallest common multiple of 224 and x(10).
672
Let n = 3739/22 + -169. Calculate the common denominator of n and 5/62.
682
Suppose 3*v - c = -7030, 4*c + 4696 = -2*v - 0*c. Let t = v + 11677/5. Calculate the common denominator of -63/55 and t.
55
Suppose -2*o + 4*t = 9*t + 1100, -4 = t. Find the common denominator of 286*2/(-72)*3 and 3 + 1 - o/189.
42
Let c(o) = 826*o + 7494. What is the smallest common multiple of 16 and c(-9)?
240
Let b = -24144/379819 + -8/3139. Find the common denominator of b and 89/924.
10164
Let p = -30 - -113. Let d = p + -77. Suppose -5*w + 666 = 4*w. Calculate the least common multiple of d and w.
222
Let o(g) = 100*g + 1292. What is the smallest common multiple of o(-11) and 96?
192
Let n(b) = -10*b - 45. Let m = -62 - -67. Let t(z) = -5*z - 22. Let q(d) = m*t(d) - 2*n(d). What is the lowest common multiple of 30 and q(-7)?
30
Let s = 664 + -646. Suppose 0 = -5*n + 3*g + 43, 4*n - 3*g - 35 = -0*g. What is the smallest common multiple of s and n?
72
Suppose 0 = -5*b - z - 164 - 33, -5*b = -5*z + 215. Let l = -70679/7764 + 13/647. Find the common denominator of l and 1/(b/(-51))*(-20)/(-24).
48
Suppose -9*v = 55*v - 1856. Suppose -7*d + 141 = v. What is the lowest common multiple of d and 36?
144
Let h = -11/6 + -61/18. Calculate the common denominator of h and 133/6.
18
Suppose 3*o - 5*j - 11 - 20 = 0, -3*j - 13 = o. Suppose 3*r = -2*y + 296, -o*r - y - 3*y = -208. Calculate the least common multiple of r and (-5)/(1*10/(-4)).
96
Let k(m) = m**3 + 7*m**2 + 125*m - 770. What is the least common multiple of 48 and k(6)?
1344
Let v be (-12480)/(-12380) + (0 - 1). Let g = v - -17831/14856. Calculate the common denominator of g and 97/18.
72
Suppose -3*u + 7*d + 104 = 5*d, 2*u - 4*d = 64. Suppose -63 = -4*g + 3*b, -11 = 4*g - 2*b - 69. Calculate the lowest common multiple of g and u.
36
What is the smallest common multiple of 1000 and (-8 - 0)*((-150)/28)/(12/14)?
1000
Suppose 12*y = -7 - 17. What is the common denominator of 45/56 and 540/392 - (y + 12/3)?
392
Let j = 3464 + -311791/90. Let c = -162879 + 2931853/18. Calculate the common denominator of j and c.
90
Suppose 0 = 37*a - 26977 - 26969. Calculate the smallest common multiple of 144 and a.
11664
Let w = -20307091/572 - -35502. What is the common denominator of -7/312 and w?
3432
Calculate the common denominator of 24/35 and 39*-5*(-4)/(-750).
175
Suppose 27 - 9 = 18*d. Let b be 432/(-27) + 0 + d + -1. What is the common denominator of (-674)/212 + b/(-4) + 0 and 93/22?
1166
Suppose 0 = 105*n - 93*n - 528. Calculate the lowest common multiple of 48 and n.
528
Let l(m) = 77*m + 89. Let i be l(3). Let t = -3602 + 770. Calculate the common denominator of (t/i)/((-3)/(-2)) and 91/8.
40
Let k be 98274/231 + 6/(-14). Let z = k - 375. What is the smallest common multiple of z and 50?
50
Let v be 27 - 25 - (0 + -112). Suppose v + 21 = 9*p. Let l = 85 + -61. Calculate the least common multiple of l and p.
120
Let v be (-109)/(-3) - (-1)/(-3). Let l be 33/v*(3 - -209). Let f = l - 5959/30. Find the common denominator of -79/12 and f.
60
Calculate the common denominator of -21/284 and (-10)/(-20) + (-5 - (-2637)/612).
4828
Let h = 75 - 55. Suppose 0 = -5*n + 6*n - 2. Calculate the lowest common multiple of h and 400/(-10)*(-1)/n.
20
Let p be 5749/(-4)*(-2)/(-226). Let w be 964/(-113) + 1048/131. Let x = w + p. Calculate the common denominator of 77/6 and x.
12
Let a = -53 + 37. Let t be a/(-24) - 8/(-6). Calculate the common denominator of -16/57 and t/(-6) - (-161)/(-77).
627
Suppose 20*s - 2762 + 62 = 0. Suppose -42 = -d + 4*h, -67*d = -63*d - 5*h - s. Calculate the least common multiple of d and (-1)/2*-3*20.
30
Let c = 294001/13890 - -2/6945. Find the common denominator of c and 12/10 + 13124/(-1020).
6
Let c = 7/1295317 - -1816628984188/58289265. Let x = c + -31167. What is the common denominator of x and -7/6?
90
Let c = 5873237/1141556 - 1944/377. Calculate the common denominator of 1/12 and c.
9084
Suppose 4*u - 4*g + 741 = 821, 5*g - 200 = -5*u. Let l = -21 + 37. Calculate the least common multiple of 2 - 3 - (0 - l) and u.
30
Calculate the common denominator of 173/126 and -1 + -4 + (-730)/(-84).
126
Suppose -2090 + 656 = -6*y. Suppose 84 = -y*g + 246*g. Calculate the smallest common multiple of g and 16.
48
Let u = 7013 + -56027/8. Let p = -56689/125216 + 3/1376. Find the common denominator of p and u.
728
Let t = 32721/582467 + -12/87769. Calculate the common denominator of -73/627 and t.
45771
Let r = 24/91 + 4751/273. Let b = 149123/41010 - 4/1367. Find the common denominator of b and r.
30
Let r be (134/8)/((-4)/(-32)). Let d = -94 + r. Calculate the lowest common multiple of 9 and d.
360
Let y = 96 + -54. Let c = 6812 + -6707. Calculate the least common multiple of y and c.
|
{
"pile_set_name": "DM Mathematics"
}
|
s seven quarters of a micrometer in nanometers?
1750
What is 509.2862 milligrams in nanograms?
509286200
Convert 0.6930203 centuries to months.
831.62436
What is eighteen fifths of a litre in millilitres?
3600
Convert 186.0166 kilograms to grams.
186016.6
How many nanograms are there in eleven tenths of a microgram?
1100
How many nanograms are there in 8/25 of a microgram?
320
How many days are there in four sevenths of a week?
4
What is seventeen halves of a litre in millilitres?
8500
What is 94079.59 millimeters in meters?
94.07959
How many meters are there in 9.777165km?
9777.165
What is 808338.7 millennia in months?
9700064400
Convert 45.74906 litres to millilitres.
45749.06
Convert 9.986747ug to kilograms.
0.000000009986747
How many decades are there in 0.2281337 millennia?
22.81337
Convert 974.5336km to millimeters.
974533600
How many millennia are there in 1003.67 centuries?
100.367
What is 59/5 of a gram in milligrams?
11800
What is 3/8 of a gram in milligrams?
375
Convert 7.770908kg to micrograms.
7770908000
Convert 0.4286032 decades to millennia.
0.004286032
Convert 3550049.37 nanoseconds to weeks.
0.000000005869790625
What is 1.2645504s in hours?
0.000351264
How many decades are there in eleven halves of a century?
55
What is 23/8 of a litre in millilitres?
2875
What is thirty-one fifths of a tonne in kilograms?
6200
How many milligrams are there in 1/4 of a gram?
250
What is 61/3 of a day in minutes?
29280
Convert 94.16541 litres to millilitres.
94165.41
How many millimeters are there in 45/8 of a meter?
5625
What is one fifth of a litre in millilitres?
200
How many millilitres are there in 975698.5 litres?
975698500
How many nanometers are there in 555811.6 millimeters?
555811600000
How many millilitres are there in fourty-two fifths of a litre?
8400
Convert 642.4091l to millilitres.
642409.1
How many micrometers are there in 41/2 of a millimeter?
20500
Convert 0.6360815l to millilitres.
636.0815
What is one twentieth of a litre in millilitres?
50
What is 0.3078022g in milligrams?
307.8022
How many millimeters are there in twenty-seven halves of a meter?
13500
Convert 723937.7 centimeters to micrometers.
7239377000
What is 7.475092 millilitres in litres?
0.007475092
How many grams are there in seventeen quarters of a kilogram?
4250
What is 81.24736 millilitres in litres?
0.08124736
What is 3/5 of a litre in millilitres?
600
What is 67/4 of a gram in milligrams?
16750
How many months are there in 5.453567 decades?
654.42804
What is three tenths of a decade in years?
3
How many decades are there in 296.1294 months?
2.467745
How many litres are there in 839.3428ml?
0.8393428
How many minutes are there in two fifteenths of a week?
1344
What is 0.7455463 millennia in months?
8946.5556
What is 29/2 of a millimeter in micrometers?
14500
How many litres are there in 0.3165366ml?
0.0003165366
How many months are there in 7/4 of a year?
21
What is 4278.341 centuries in years?
427834.1
How many tonnes are there in 619.7838mg?
0.0000006197838
What is 86.42489 millennia in months?
1037098.68
What is 4.41499us in seconds?
0.00000441499
Convert 72234.2 litres to millilitres.
72234200
What is 3/8 of a millennium in years?
375
Convert 160.0767ng to tonnes.
0.0000000000001600767
What is 203.3633 weeks in milliseconds?
122994123840
How many nanoseconds are there in 1/10 of a microsecond?
100
How many centuries are there in 1/5 of a millennium?
2
How many millimeters are there in one tenth of a kilometer?
100000
What is twenty-seven fifths of a millennium in centuries?
54
How many milligrams are there in 27/2 of a gram?
13500
How many micrometers are there in 5/8 of a millimeter?
625
How many kilometers are there in 24940.84cm?
0.2494084
How many centuries are there in 5.892814 decades?
0.5892814
What is 37402.16mg in grams?
37.40216
What is 91.97377 days in milliseconds?
7946533728
How many hours are there in 2.134182 weeks?
358.542576
How many months are there in 2/15 of a century?
160
How many kilograms are there in 61.02128 tonnes?
61021.28
Convert 67.71575nm to centimeters.
0.000006771575
What is five eighths of a millennium in months?
7500
What is 8997.034nm in centimeters?
0.0008997034
How many decades are there in twenty-one halves of a millennium?
1050
How many milliseconds are there in 5489.704 hours?
19762934400
What is five eighths of a day in seconds?
54000
Convert 97647.28 weeks to minutes.
984284582.4
How many months are there in 5/24 of a millennium?
2500
What is 1/80 of a kilogram in milligrams?
12500
How many years are there in 938.706 months?
78.2255
How many millilitres are there in 3/25 of a litre?
120
How many months are there in 3/16 of a century?
225
How many millilitres are there in 0.3660944 litres?
366.0944
How many decades are there in 64/5 of a century?
128
What is 77/2 of a litre in millilitres?
38500
Convert 9.643794 minutes to nanoseconds.
578627640000
How many years are there in 94267.55 millennia?
94267550
How many millimeters are there in 69/2 of a centimeter?
345
What is fifty-one fifths of a litre in millilitres?
10200
What is 2547.533 decades in millennia?
25.47533
How many milligrams are there in 21/2 of a gram?
10500
What is 3/8 of a hour in seconds?
1350
How many centuries are there in 0.1435434 months?
0.0001196195
How many milligrams are there in 266694.5 nanograms?
0.2666945
How many decades are there in 35.61999 years?
3.561999
What is 18/5 of a millimeter in micrometers?
3600
What is fifteen quarters of a week in hours?
630
What is 778407.2km in millimeters?
778407200000
How many kilograms are there in 59/5 of a tonne?
11800
How many months are there in 11/10 of a decade?
132
Convert 0.7303897 kilometers to meters.
730.3897
What is 2.43427 millilitres in litres?
0.00243427
What is twenty-seven quarters of a litre in millilitres?
6750
What is 1/4 of a millennium in years?
250
How many milligrams are there in thirty-two fifths of a gram?
6400
What is eighteen fifths of a litre in millilitres?
3600
How many millimeters are there in 0.3643725nm?
0.0000003643725
How many seconds are there in 3/5 of a day?
51840
What is seven quarters of a centimeter in micrometers?
17500
How many millilitres are there in 18/5 of a litre?
3600
What is 1/4 of a meter in millimeters?
250
How many years are there in 2005889.7 months?
167157.475
How many millilitres are there in 1/10 of a litre?
100
What
|
{
"pile_set_name": "DM Mathematics"
}
|
et z = 157 + k. Solve 4*p = z*h + 4, 7*p - 2*h = 4*p + 3 for p.
1
Suppose n - 4*s - 10 = 6, -n - s = 4. Suppose 0 = -5*u - 138 - 207. Let t = 71 + u. Solve 15 = -5*g - 5*r, -3*g + t*r + 3 - 2 = n for g.
-1
Let n = 14862 - 14860. Solve 3*p + 4 = -n*y, 2*p - 4 = -8*y + 10*y for y.
-2
Suppose -5*m = -4*i - 148 + 2136, 1203 = -3*m - i. Let t = m - -412. Solve 0 = -3*c - t, -2*j - 3*j + 5*c + 20 = 0 for j.
0
Suppose 0 = -23*r - 2318 + 2318. Solve r = 28*j - 29*j - 3*o - 8, -j + 3*o + 10 = 0 for j.
1
Suppose -p = -5*u - 25, -2*p = -8*u + 7*u - 59. Let z be (-40)/30*p/(-4). Solve -4*q - 20 = t, z = -4*t - q - q for t.
0
Suppose 247*a - 243*a + 2 = -5*r, 4*r - 14 = 2*a. Solve -y = -4*x + 21, r*y - 5 = -3*y - 2*x for y.
-1
Let t be ((-9)/(-5))/((-2)/(-10)). Suppose -74*l = 52*l - 75*l - 255. Solve 4*h = 7*h + l*s - t, -s = -3*h - 9 for h.
-2
Let j be (-264)/15*6/(18/15). Let w = 91 + j. Solve 23 = -w*z + 4*q, -5*q = -0*z + 2*z for z.
-5
Let w be (6/(-8))/(2/(-8)). Suppose 0 = -3*h + 5*n + 734, h - 2*n - 86 = 159. Let r = 246 - h. Solve 2*j + a - w = 0, 0 = 4*j + 5*a + r - 0 for j.
3
Let h(z) = z**3 - 84*z**2 - 88*z + 259. Let s be h(85). Solve s*o + 5*t = -12, 5*t = -4*o - o - 10 for o.
2
Let d be (68/12)/(51/18). Solve -314 + 310 = d*h, -h - 2 = 3*c for c.
0
Let q be (0/7)/((-5 - -5) + -3). Solve q*f = 4*f + 4*s + 4, 0 = 4*f - 2*s - 2 for f.
0
Let t be 1/(-1) - (-2 + 5). Let x(m) = 6*m + 24. Let h be x(t). Solve h = -s + 2*p + 2*p - 15, -8 = -2*p for s.
1
Let h(g) = g**3 + 22*g**2 + 86*g - 5. Let v be h(-7). Solve v*m - 129*m - 5*s = 10, 8 = -m - 4*s for m.
0
Let u = 33867 + -33862. Solve 3*l + 4*o + u = 0, 4*l - 654 + 656 = -3*o for l.
1
Let b be (-138)/(-42) - 4/14. Solve 4*x - 1 = r, 2*r = -b*x + 2 - 4 for x.
0
Suppose -99*j = -104*j, q = 2*j + 4. Solve q*c - o + 2 = 0, c = -2*c + o - 2 for c.
0
Let j(q) = 47*q - 9. Let a be j(4). Let b = -175 + a. Suppose w = 4*w - 45. Solve -d - b*k + w = 0, d = -d - 5*k + 21 for d.
3
Let z(l) = 20*l**2 - 49*l + 49. Let u be z(1). Solve -5*b = -0*b - 25, -5*v + u = b for v.
3
Let u be ((-2)/9)/(34/(-765)). Solve 4*k = -v + 21, 6*v = -u*k + v + 45 for k.
4
Suppose 5*q - 6*q = 3*r - 7, 4*q = 3*r + 13. Suppose -2*j = -h - q, -2*h - 18*j + 20*j = 0. Solve 0 = h*v - c - 3*c + 20, 2*v + 3*c = 10 for v.
-1
Suppose -4*d - 4*y - 22 = -6*d, -4*y - 12 = 0. Let z be ((-12)/30)/(2/(-20)). Solve 23 = -z*a + u, 2*a - 3*u + 4 = -d*u for a.
-5
Let q(k) = k**3 + 59*k**2 + 22*k + 1301. Let y be q(-59). Solve 6*t + 4*n - 4 = y*t, -3*t + 8 = 2*n for t.
4
Let a = -12758 + 12766. Solve -a*v = 5*t + 25, 3 = -13*t + 14*t for v.
-5
Let d be (-1 - 1)*(-287 - -283). Solve -4*a = -d, -2*a = 3*f - 3 + 2 for f.
-1
Let p be (-2)/(-14) + (-323)/7 + -2. Suppose -2*a = 5*w - 272, -3*a = -w - 6*a + 57. Let s = w + p. Solve 2*z - s = -0*z - 2*v, 0 = 4*v - 16 for z.
-1
Let t be (-46)/(-4)*(1 - -1). Let n(p) = p + 14. Let d be n(-12). Let c be (d - -10)*(22/(-6) - -4). Solve 2*m - 5*g + t = 0, -6*m + 2*m = 4*g + c for m.
-4
Let r = -49 + 71. Solve 2*m = s + 9, 4*m = -3*s + s + r for s.
1
Let p(d) = -d**2 - 5*d - 2. Let t be p(-3). Let z be 1 - (-6)/(-6) - 1. Let w be 2/z - (-7 + 67)/(-3). Solve -2*n = 5*h - 21, t*h - 2*h - w = 4*n for n.
-2
Let r = 3 - -2. Suppose 9*f = -5*f + 42. Suppose -11 = -f*s + 79. Solve -4*b + r*c - s = 0, 3*b + 3*c = -c - 7 for b.
-5
Let q be (-1 + 0/(-1))*-3. Let h be (279/(-372))/(95/20 + -5). Solve h*g = -3*z - 18, -4*g = q*z - 2*z + 12 for g.
-2
Let n = -6457 + 6464. Solve -2 = g - z, n = -4*g - 2*z - 1 for g.
-2
Let s = 58 - 56. Solve -t = -2*a + 1, 3 = a - 0*a + s*t for a.
1
Let r(t) = 71*t**3 + t**2 - 7*t**2 + 2 - 70*t**3 - 7*t. Let l be r(7). Suppose l*q + g = 4*g + 3, 4*q + 5*g = 17. Solve q*y + 5*j = -y + 41, 4*j = 5*y for y.
4
Suppose 0*b - 4*b + 136 = 0. Suppose 5*a = 3*f - b, 0 = -2*f + 3*f + 5*a + 22. Solve c - j = -f, 2*c + 4*j - 10 = 4*c for c.
-1
Let c
|
{
"pile_set_name": "DM Mathematics"
}
|
8?
True
Does 866 divide 281450?
True
Is 6762 a multiple of 69?
True
Is 24 a factor of 113384?
False
Does 9 divide 33165?
True
Does 55 divide 127435?
True
Is 8 a factor of 1291960?
True
Is 1499776 a multiple of 8?
True
Is 126 a factor of 3664246?
False
Is 124740 a multiple of 22?
True
Is 8 a factor of 891048?
True
Is 338 a factor of 608062?
True
Is 4407291 a multiple of 27?
True
Does 4 divide 3874500?
True
Is 2781257 a multiple of 993?
False
Is 295254 a multiple of 375?
False
Is 245 a factor of 374415?
False
Is 254125 a multiple of 125?
True
Is 3612899 a multiple of 80?
False
Is 332377 a multiple of 14?
False
Does 13 divide 6517769?
False
Does 14 divide 4066090?
True
Is 535 a factor of 2373060?
False
Does 169 divide 129792?
True
Is 222040 a multiple of 122?
True
Is 241346 a multiple of 14?
True
Is 30 a factor of 322883?
False
Is 8378255 a multiple of 5?
True
Does 53 divide 144615?
False
Is 1941 a factor of 10256308?
False
Does 80 divide 6984240?
True
Is 397 a factor of 53595?
True
Is 219 a factor of 24309?
True
Is 229 a factor of 671109?
False
Is 5217304 a multiple of 8?
True
Does 9 divide 243648?
True
Is 3210462 a multiple of 54?
True
Is 6 a factor of 14778?
True
Is 4 a factor of 1037038?
False
Does 612 divide 20504551?
False
Is 21 a factor of 453264?
True
Is 15943 a multiple of 107?
True
Is 18 a factor of 9603039?
False
Does 75 divide 36575?
False
Is 403093 a multiple of 31?
True
Is 3002484 a multiple of 37?
False
Does 94 divide 51985?
False
Is 60 a factor of 2312149?
False
Is 1984372 a multiple of 403?
True
Is 885438 a multiple of 18?
True
Does 43 divide 1730107?
False
Is 314959 a multiple of 5?
False
Is 181711 a multiple of 632?
False
Is 42 a factor of 216026?
False
Is 99828 a multiple of 10?
False
Is 12854 a multiple of 3?
False
Is 2106600 a multiple of 217?
False
Does 56 divide 25368?
True
Does 93 divide 153450?
True
Is 13 a factor of 9880?
True
Does 428 divide 404626?
False
Does 23 divide 568380?
False
Does 14 divide 5964?
True
Is 83341 a multiple of 1002?
False
Does 3 divide 1323?
True
Is 543910 a multiple of 34?
False
Does 24 divide 5873832?
True
Is 70 a factor of 1743184?
False
Does 100 divide 673650?
False
Does 14 divide 2016291?
False
Does 149 divide 184462?
True
Is 245506 a multiple of 412?
False
Is 21952 a multiple of 49?
True
Does 14 divide 130712?
False
Does 12 divide 39916?
False
Is 790 a factor of 1392367?
False
Is 30576 a multiple of 208?
True
Is 146276 a multiple of 97?
True
Does 183 divide 2725499?
False
Is 1925266 a multiple of 84?
False
Does 27 divide 119853?
True
Is 19 a factor of 936643?
True
Is 2122497 a multiple of 39?
True
Is 203181 a multiple of 10?
False
Is 26 a factor of 229190?
True
Does 17 divide 3430462?
False
Is 134414 a multiple of 12?
False
Does 52 divide 279730?
False
Does 9 divide 44172?
True
Is 1475 even?
False
Does 27 divide 288586?
False
Is 2621941 a multiple of 3?
False
Is 1601880 a multiple of 210?
True
Is 1620800 a multiple of 800?
True
Does 28 divide 104944?
True
Does 61 divide 39223?
True
Is 48 a factor of 6283632?
True
Is 255 a factor of 1883249?
False
Is 5 a factor of 100328?
False
Does 70 divide 172032?
False
Is 171 a factor of 304380?
True
Is 47 a factor of 77504?
False
Does 134 divide 2420442?
True
Is 309 a factor of 927309?
True
Is 10 a factor of 2718386?
False
Does 22 divide 15620?
True
Is 597 a factor of 2131112?
False
Does 13 divide 4587010?
False
Is 265725 a multiple of 33?
False
Is 66 a factor of 32117?
False
Is 14 a factor of 34084?
False
Is 6 a factor of 7247178?
True
Does 3 divide 538710?
True
Is 6 a factor of 115452?
True
Is 114 a factor of 2787300?
True
Does 25 divide 361075?
True
Is 31525 a multiple of 97?
True
Is 2 a factor of 150133?
False
Is 128280 a multiple of 10?
True
Is 37557 a multiple of 14?
False
Does 100 divide 237000?
True
Does 14 divide 7980196?
True
Is 34 a factor of 125086?
True
Is 15487 a multiple of 13?
False
Is 276 a factor of 182772?
False
Does 79 divide 696996?
False
Does 13 divide 19266?
True
Is 91 a factor of 508505?
False
Is 756349 a multiple of 319?
True
Is 81175 a multiple of 58?
False
Is 127 a factor of 61433?
False
Is 270918 a multiple of 9?
True
Is 181 a factor of 51836?
False
Is 113 a factor of 39663?
True
Is 40 a factor of 3867973?
False
Is 187616 a multiple of 44?
True
Is 442 a factor of 271239?
False
Is 17107544 a multiple of 139?
False
Does 42 divide 246637?
False
Is 49 a factor of 341726?
True
Is 1099340 a multiple of 19?
True
Is 5 a factor of 1045921?
False
Is 4201632 a multiple of 47?
False
Does 40 divide 265312?
False
Is 1847 a multiple of 9?
False
Is 92 a factor of 706468?
True
Is 99 a factor of 46134?
True
Is 174 a factor of 5924738?
False
Is 200 a factor of 37200?
True
Is 449 a factor of 3878013?
True
Is 135690 a multiple of 241?
False
Is 233082 a multiple of 138?
True
Does 448 divide 922228?
False
Is 25 a factor of 189250?
True
Does 25 divide 524825?
True
Is 457232 a multiple of 8?
True
Is 18 a factor of 4248?
True
Is 35796 a multiple of 24?
False
Is 20 a factor of 3816451?
False
Does 301 divide 1600755?
False
Is 880365 a multiple of 14?
False
Is 16327 a multiple of 9?
False
Does 11 divide 178442?
True
Is 515580 a multiple of 30?
True
Is 50 a factor of 126556?
False
Is 108895 a multiple of 289?
False
Is 14445696 a multiple of 128?
True
Does 9 divide 421952?
False
Is 14943 a multiple of 51?
True
Does 149 divide 143189?
True
Is 48950 a multiple of 24?
False
Is 28538176 a multiple of 776?
True
Is 430947 a multiple of 27?
True
Is 155 a factor of 222639?
False
Is 6684220 a multiple of 792?
False
Is 5111227 a multiple of 138?
False
Does 10 divide 1337593?
False
Is 2321312 a multiple of 34?
False
Does 202 divide 277262?
False
Is 31 a factor of 116444?
False
Does 96 divide 1955983?
False
Is 285256 a multiple of 39?
False
Does 11 divide 1713141?
False
Does 25 divide 67703?
False
Does 16 divide 26704?
True
Is 2905164 a multiple of 799?
True
Is 10305288 a multiple of 8
|
{
"pile_set_name": "DM Mathematics"
}
|
)/36*-7*(-136)/306. Which is greater: o or -1?
o
Let y be 6/(-15) - 4/(-35). Let b = 15/41 + 11/82. Is y > b?
False
Let p = 361.51 - 361.81. Let d = 0 - 0.2. Let k = d + 0.6. Which is smaller: p or k?
p
Let c be (-1 - (-1)/(-1))*(-20)/360*3. Let y = -74.049 + 74. Is c < y?
False
Suppose -4*l = -0*b - 3*b + 13, -l = 4*b + 8. Let g = -7838 + 101870/13. Which is smaller: g or b?
g
Let j = -6 + 8. Suppose 5*q + 37 = 5*i + j*q, 5*i - 35 = 5*q. Let h be ((-12)/(-210))/(i/10). Is -1 at least h?
False
Let l(s) = -s - 4. Let b be l(4). Suppose 0 = -g + 4, 0 = 3*j + 4*g + 13 - 5. Do j and b have the same value?
True
Suppose 5*b + 0*x - 45 = -4*x, b + 5*x = 9. Suppose b - 8 = n. Do -4 and n have the same value?
False
Let v = 54 - 85. Which is smaller: -28 or v?
v
Let o = -11 + 8. Let c = o - -3. Let j be (1 + -2)/(8/2). Which is smaller: j or c?
j
Suppose 2*r = -2*p + 4 + 6, -5*p - 3*r = -21. Let k be (6/(-18) - (-1)/p)/(-3). Is k > -11/15?
True
Suppose -3*z + 7 = -5. Let t be 10*(-1)/(-8)*z. Suppose 4*a = 5*c + 2*a + 2, -t*c + a = 1. Is c bigger than 2?
False
Let d = 0.02 + -16.02. Let s = 0.12 - 13.12. Let a = d - s. Are -0.1 and a equal?
False
Let t = 12 + -21. Let p = t + 13. Suppose g + 3*g = -2*o + 20, 2*g = -2*o + 10. Is p > o?
True
Let g be 2*(-1 - (-15)/6) - (45 + -75). Suppose 3 = -l - 2*l. Is l bigger than g?
False
Let z(a) = -5*a + 10. Let y be z(10). Let k be (-15)/(-18)*12/y. Let p be (-6)/4*6/45. Is p not equal to k?
True
Let c = -142 - -151. Let p = 2 - 2. Suppose p = 3*q - 0*q - 24. Are c and q non-equal?
True
Let p = -83404 - -6421601/77. Let w = -85/11 - p. Which is greater: w or -1?
-1
Let b = 0.054 - 0.054. Which is smaller: b or 16/15?
b
Let h = 592 + 768. Which is smaller: h or 1/2?
1/2
Let o = -9 + -27. Let r = o + 29. Is r equal to -56/9?
False
Let y(k) = k**3 - 12*k**2 + 27*k - 20. Let r be y(8). Is -58 equal to r?
False
Let v(k) = -k**2 + 12*k - 25. Let n be v(22). Is -247 greater than n?
False
Let s(n) = -2*n + 9. Let o be s(7). Let g = o + 7. Let q(b) = b**2 - b - 1. Let l be q(-1). Which is greater: g or l?
g
Suppose 6*f = 7*f - 6. Suppose 0 = -f*b + 10*b. Which is smaller: b or -1?
-1
Let t be (-1 - 0) + 19 + -4. Let c be (-35)/2*476/(-833). Which is smaller: c or t?
c
Let j = -2867 + 2853. Let o = 8 - 6. Are o and j equal?
False
Suppose 5*h = q + 242, -4*h + 952 = -2*q - 2*q. Which is greater: q or -1?
-1
Suppose 420 = 17*a + 11*a. Let u be (-1 + 0)/((-4)/60). Is u at least a?
True
Suppose 19 = 16*x + 3. Is -2/203 > x?
False
Let o(m) = m. Let j be o(-5). Let s(v) = -v**3 - 6*v**2 - 4*v - 5. Let w be s(j). Is w greater than -43/5?
False
Let s be ((-42)/15 + 2)*10. Let u be (3/(-40))/(-1)*10/s. Which is greater: u or -1?
u
Let s = -210 - -203. Which is smaller: s or -1/5?
s
Suppose 2*f = 7*f. Suppose 5*o - 3*j - 17 = f, 4*j + 11 = 3*o - 8. Suppose 6*h = -3*h - 3*h. Is o greater than h?
True
Suppose -153 = 4*z + 147. Let v be (-28)/(-35) - (-369)/5. Let g = v + z. Is g less than or equal to 0?
True
Let c be 9 + (-9 - 3) + 20. Which is smaller: -4 or c?
-4
Let j = -139 - -138.9. Is j not equal to 164?
True
Let g = -12 + 6. Let w be -3 + 2/((-4)/g). Let l be w*(-2)/8*1. Which is bigger: l or 3/4?
3/4
Suppose 0 = 4*h + 206 + 146. Let s be 202/(-22) + (-16)/h. Which is bigger: s or -10?
s
Let n be (2/(-6))/(-1)*(-8 - -16). Let u = n - 3. Which is greater: -0.13 or u?
-0.13
Let y = -4691/3 - -1435. Which is bigger: y or -130?
y
Let i(m) = 0 + 0 - 8*m + 7*m + 15*m**3. Let x be i(1). Let q(l) = -l**3 + 2*l**2 + l - 1. Let s be q(-2). Is x >= s?
True
Let d be ((-80)/(-15))/(((-40)/36)/10). Which is greater: -46 or d?
-46
Let c(u) = -4*u - 31. Let z be c(-12). Suppose -16*m = -z*m. Is m at most -1/88?
False
Let u(v) = -6*v**2 + 37*v**2 + 10*v**2. Let z be u(-2). Let y = z - 659/4. Is 0 at most y?
False
Let b be (-2)/8 + (-4989)/(-7812). Let h = 15/31 - b. Let t = 363 + -362. Which is greater: t or h?
t
Let f = 223994/63 - 44125447/12411. Let x = f - 3/197. Which is smaller: x or 0?
0
Let x = 91 + -77.4. Let p = x - 13.5. Is p at least as big as -4/5?
True
Let q = 944.03 - 944. Which is smaller: q or 99?
q
Let a = -2 + -6. Let b = a - -3. Is b greater than 1/2?
False
Let g = 1106 - 1106. Which is smaller: 1/41 or g?
g
Let t = -24 - -24.99. Let x = t - 0.29. Which is bigger: -3 or x?
x
Suppose 16*l = 11*l - q - 1, -4*l = -2*q + 12. Is l <= -2/271?
True
Suppose -11*d - 1332 = -20*d. Are 147 and d non-equal?
True
Suppose -4 = -4*p + 24. Suppose n - 4*n - r +
|
{
"pile_set_name": "DM Mathematics"
}
|
3 + 12*g
Expand -56924*d + 56924*d - 796*d**3 + (d - 1 + 1)*(0*d - 2*d**2 + 0*d) + 3*d**3 + 3*d**3 - 2*d**3.
-794*d**3
Expand (1025*h - 1025*h - 21 + 2*h**2)*(411 - 411 + 18*h**2).
36*h**4 - 378*h**2
Expand (-20 + 66886*f + 66882*f - 133762*f)*(-2 + 2 + 1).
6*f - 20
Expand (-59450 - 1300*b + 59450)*(-6 + 2 + 2)*(0 + 1 - 3).
-5200*b
Expand (3*q**5 - 7*q**5 + q**5)*(-216 + 372 + 395)*(1 + 1 - 1).
-1653*q**5
Expand (5*o - 2*o - 1 + 2)*(47*o + 137*o - 83*o) + (o - 3*o - 5*o)*(-2 - 2*o + 2).
317*o**2 + 101*o
Expand 96*v**2 + 120*v**2 - 293*v**2 + (0 - v + 0)*(5*v - v + 0*v).
-81*v**2
Expand (-1 + 1 - 2*z)*(66 - 243 - 59) - 8*z + 11*z - 4*z.
471*z
Expand 2*m**2 + 0*m**2 - 4*m**2 + (5 - 3 - 6)*(0*m + 0*m + 4*m**2)*(2 - 2 + 12).
-194*m**2
Expand (4 - 2 - 5 + (0 - 5 + 4)*(0 - 3 + 1) + 0 + 1 + 1 + 1 + 1 - 7)*((-1 + 0 + 3)*(12*w + 18*w - 4*w) + (1 - 2 - 1)*(0 + 0 + 2*w)).
-192*w
Expand (2 - 2 + 2*d)*(d + 4 - 4) + d**2 + 0*d + 0*d + 68*d**2 + 816*d - 816*d.
71*d**2
Expand (v + 0 + 0)*(16 - 27 - 11)*(0 + 2 + 12)*(-15 - 18 - 24).
17556*v
Expand -4*g + 4*g + g**4 - 1 + (-g + 20*g - g)*(-57*g**3 + 109*g**3 - 56*g**3).
-71*g**4 - 1
Expand (13*n**2 - 78*n**2 - 10*n**2)*(2*n + 84 + 14*n**3 - 84).
-1050*n**5 - 150*n**3
Expand (177*q + 518*q + 379*q)*(3*q**2 + 2*q**2 - 4*q**2).
1074*q**3
Expand (14 - 2 + 7)*(7*l + 0*l + 0*l)*(7 - 1 - 4)*(-6 - 5*l**2 + 6).
-1330*l**3
Expand (9 + 139 - 158 - 127*j)*(0*j + 0*j + 3*j).
-381*j**2 - 30*j
Expand (156*d + 0 + 153*d - 1 + 1 - 181*d)*(16*d + 12*d - 5*d).
2944*d**2
Expand (-124 + 254 - 129 - 101*s)*(-2*s - s + 6*s)*(-3*s**2 + 8*s - 8*s).
909*s**4 - 9*s**3
Expand (-6*n**2 - 2 + 2)*(9301 - 950*n**2 - 9301).
5700*n**4
Expand (-800 + 16*n + 800)*(-2 - 1 - 2)*(5 - 1 + 18).
-1760*n
Expand (-26 + 54 - 53)*(-2 + 31 + 0)*(3*u**2 + 0*u + 0*u).
-2175*u**2
Expand (-5*x + 15 - 15)*(-8 + 18 - 8).
-10*x
Expand (-14 + 46 + 10)*(-2 - 3 + 3)*(2*v**2 - 4*v**2 - 4*v**2)*(-v**2 + 0*v**2 + 2*v**2).
504*v**4
Expand 0*h**4 + h**4 + h**4 + (0 + 0 - h**3)*(-2 + 2 + h) + 9*h**4 + 8*h**4 - 10*h**4 + h**4 - 5*h**4 + 2*h**4 + h - 5*h**4 + h + 3*h**4 - h**4 + h**4 - 3*h**4.
h**4 + 2*h
Expand (-103986*g**2 - 16*g**3 + 103986*g**2)*(13 + 2 - 1).
-224*g**3
Expand (r + 2 - 2)*(-4 + 1 + 2)*(-907*r - 186*r - 1101*r - 3771*r).
5965*r**2
Expand (-x + 5*x - x)*(1 - 2 + 0) + (0 - 1 - 1 + (0 + 2 + 0)*(4 - 2 - 4) - 3 + 3 + 1 - 5 + 1 + 1 - 1 + 2 - 4 + 0 + 2 + 0)*(2*x + 3*x - x) - 5 + 3*x + 5.
-36*x
Expand 1 - 1 - 2*b + 2*b + 3*b - 7*b + (1 - 4 + 1)*(-4*b + 0*b + 6*b) - 2*b - 1 + 1 + 31499*b - 1 + 1 - 141826*b - 4672*b.
-115009*b
Expand (2*f + f - 4*f)*(-f + 2*f + f) + f**2 - 3*f**2 + f**2 - 78*f**2 - 102 + 79*f**2 - 173.
-2*f**2 - 275
Expand (87*a + 196 - 196)*(4 + 1 - 2) + 3*a + 9*a - 8*a + 0*a - a - a.
263*a
Expand -6*l**2 - 86 + 86 + (9*l - 46*l + 2*l)*(-5*l + 0*l + 3*l + (2 - 4 + 1)*(2*l - 3*l + 2*l)).
99*l**2
Expand -130*x + 95*x + 193*x + x + 3*x - 6*x + (-2 - 1 + 2)*(x - 4 + 4) + x - 3*x + x - 4 + 4 + 2*x - 5*x + 3*x + 6*x.
160*x
Expand (12*c + 67*c + 0*c)*(3 + 1 - 5)*(-28 + 25 - 8*c + 6*c).
158*c**2 + 237*c
Expand (-s**2 + 5*s**2 + 4*s**2)*(-120*s + 24*s - 182*s).
-2224*s**3
Expand (z - 2*z + 4*z)*(413*z - 792*z - 1998*z - 4667*z - 2877*z + 1101*z).
-26460*z**2
Expand (-2 - 1 + 1)*(286122*x**2 + 80 - 78 - 798*x - 286127*x**2).
10*x**2 + 1596*x - 4
Expand -4*t**3 - t**3 + 3*t**3 - 12*t**3 + 6*t - 6*t + (6*t**2 + 8*t**2 + 6*t**2)*(0*t - 2*t + t).
-34*t**3
Expand 0*d**3 + 0*d**3 + 2*d**3 - 2*d**3 + 4*d**3 - 4*d**3 + d**3 - d**3 - 2*d**3 + (28*d + 0*d - 8*d)*(1 - d**2 - 1) + 0*d**3 + 3*d**3 - d**3.
-20*d**3
Expand (-3 + 6 - 1)*(-140 + 262 - 152)*(-3 + 3 - 2)*(0*y**5 + y**5 + 0*y**5).
120*y**5
Expand 208*n**3 - 99190 + 99190 + 2*n**3 - 4*n**3 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
2 wrt w?
-12*c - 64372872*w
Find the first derivative of 193668984*b*f**2 - 236626105*f**2 wrt b.
193668984*f**2
What is the derivative of -11603216*i + 781279 wrt i?
-11603216
Find the third derivative of 12562*d*w**4 + 309*d*w**3 - 16*d*w**2 + 59*d*w - 20*w**2 - 9 wrt w.
301488*d*w + 1854*d
What is the third derivative of -n**4*p + 7*n**4 + 1693677*n**3*p - n**2*p - n**2 + 1336*n*p - 3338 wrt n?
-24*n*p + 168*n + 10162062*p
Differentiate 3329*p**2 - 473*p + 16293071.
6658*p - 473
Find the third derivative of -559*w**4 - 179217*w**3 - 11205*w**2 - 7*w + 121.
-13416*w - 1075302
Find the second derivative of 152*d**5 - 1386990*d**3 + 175612585*d wrt d.
3040*d**3 - 8321940*d
What is the third derivative of -10*a**4 + 3*a**3*y + 1166184*a**3 + 2*a**2*y - a**2 - 11917*a*y - 3*a - 27*y + 1 wrt a?
-240*a + 18*y + 6997104
Differentiate -39773*i**3*u**3 - 165*i**3 - 6*u**3 + 2*u**2 + 2*u + 1945456 wrt i.
-119319*i**2*u**3 - 495*i**2
What is the third derivative of 92879988*r**5 - 138971786*r**2?
5572799280*r**2
Find the second derivative of 5*y**5 + 162*y**4 + 2137*y**2 - 3050*y - 3460 wrt y.
100*y**3 + 1944*y**2 + 4274
What is the second derivative of -112777*j**4 - 24*j**3 + 4332727*j wrt j?
-1353324*j**2 - 144*j
Find the second derivative of -1887207*h**2*p**2 - 3*h**2*p + 2*h**2 + 24*h*p**2 - 345952*h*p + 1 wrt p.
-3774414*h**2 + 48*h
Find the second derivative of -2242*d*i**2*o - 497*d*i**2 + d*i*o - 62166442*d*i - 23*i**2*o wrt i.
-4484*d*o - 994*d - 46*o
Find the second derivative of 32*p**3*r**2 + p**3*r - 6*p**2*r**2 + 1910*p*r**2 - 9*p + 3*r**2 - 16249*r wrt r.
64*p**3 - 12*p**2 + 3820*p + 6
Find the second derivative of u**4 - 5760*u**2 + 4*u - 93565 wrt u.
12*u**2 - 11520
Differentiate 3848079*k - 8724438 with respect to k.
3848079
Find the second derivative of -12144769*s**2 - 4599152*s wrt s.
-24289538
What is the second derivative of 231011228*x**2 + 1069924*x - 30?
462022456
Find the third derivative of -29081*p**5 - 6246*p**4 + 35138*p**2 + 5333 wrt p.
-1744860*p**2 - 149904*p
What is the derivative of 2*b**3*m - 10623*b**3 - b**2 + 30*b*m**2 + 4662*b*m + 9*b - 2*m wrt m?
2*b**3 + 60*b*m + 4662*b - 2
Find the third derivative of -10939*q*v**3 + 2*q*v**2 + 4*q*v - 36*q - 3202*v**3 + 2*v - 350 wrt v.
-65634*q - 19212
Find the second derivative of 787924*t**3 - 302*t**2 - 252071575*t wrt t.
4727544*t - 604
Find the third derivative of -1341582*l**4*q - 2*l**3*q + l**2 + 33*l*q + 180709*q wrt l.
-32197968*l*q - 12*q
Find the third derivative of 30239220*j**4 + j**3 + 285*j**2 + 197401*j.
725741280*j + 6
Find the first derivative of 1025953106*d**3 - 1130037231 wrt d.
3077859318*d**2
Find the second derivative of 13*v**3 + 525507*v**2 - 26*v + 202098.
78*v + 1051014
Find the third derivative of -22114306*s**5 + 2*s**4 - 2*s**3 + 11*s**2 + 18*s - 980 wrt s.
-1326858360*s**2 + 48*s - 12
Differentiate -122223579*i + 41536814 wrt i.
-122223579
Find the third derivative of 8*m**5 - 3210487*m**3 - 100229688*m**2.
480*m**2 - 19262922
Find the second derivative of -2240*k**4 - 2330*k**3 + 2*k**2 + 27946195*k + 1 wrt k.
-26880*k**2 - 13980*k + 4
Find the second derivative of -15511899*p**2*z**2 - 18068307*p**2*z wrt z.
-31023798*p**2
Find the first derivative of -135810887*d + 415427003 wrt d.
-135810887
Find the second derivative of 4531092*a**3*q**2*y + 727*a**3*q*y - a**2*q*y - 3*a*q**2 - 851*q*y wrt q.
9062184*a**3*y - 6*a
Find the third derivative of -20*d**4*u - 281478*d**3 + 2*d**2*u + 3*d - 305*u + 68 wrt d.
-480*d*u - 1688868
Find the second derivative of 4738822*r**2 - 12581305*r.
9477644
Find the first derivative of 3493894*k**2 - 26*k + 340722926 wrt k.
6987788*k - 26
What is the second derivative of 1175862*a**5*z + 12*a**2 - 29868*a*z + 17*a wrt a?
23517240*a**3*z + 24
Find the first derivative of -25*d**2*u**3 - 2117*d**2*u + 246*u**3 + 6415 wrt d.
-50*d*u**3 - 4234*d*u
Find the first derivative of 4*r*t**2 - 69501*r - 9456671*t**2 + 1 wrt r.
4*t**2 - 69501
Find the third derivative of -643164608*g*r**5 + 2*g*r**2 - 8*g - 1698089*r wrt r.
-38589876480*g*r**2
Find the second derivative of 131618591*q**2 - 40*q + 1681362 wrt q.
263237182
Find the third derivative of 36023*b**4*f**2 - 301*b**4 - b**2*f + 10*b**2 - 195*b*f**2 - 203*b wrt b.
864552*b*f**2 - 7224*b
Find the second derivative of -10213890*p**2 - 25*p + 84849 wrt p.
-20427780
Find the second derivative of 2*s**3 + 18635066*s**2 + 3*s - 12518366 wrt s.
12*s + 37270132
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
cked without replacement from {b: 5, f: 3}. What is prob of sequence ff?
3/28
Calculate prob of sequence wwm when three letters picked without replacement from {m: 7, w: 12}.
154/969
Four letters picked without replacement from {q: 4}. What is prob of sequence qqqq?
1
Three letters picked without replacement from {d: 5, s: 1, c: 2, u: 1}. Give prob of sequence duc.
5/252
Calculate prob of sequence hll when three letters picked without replacement from llvvhllkkklhykvllh.
7/272
Calculate prob of sequence xxbo when four letters picked without replacement from {b: 5, p: 4, o: 2, j: 2, x: 4, a: 2}.
5/3876
Four letters picked without replacement from {h: 4, v: 3, y: 11}. Give prob of sequence yhvv.
11/3060
Three letters picked without replacement from zzzzzzzzzz. What is prob of sequence zzz?
1
Four letters picked without replacement from pwkppwpwvnvk. What is prob of sequence vpwp?
1/165
Three letters picked without replacement from zbzbzbzzbezzezez. Give prob of sequence ebe.
1/140
What is prob of sequence zz when two letters picked without replacement from {a: 2, z: 2}?
1/6
What is prob of sequence jjt when three letters picked without replacement from {t: 1, j: 3}?
1/4
Calculate prob of sequence uq when two letters picked without replacement from fkufnquuuu.
1/18
What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjjj?
1
Calculate prob of sequence jt when two letters picked without replacement from jjjtjjbjbjjjtj.
10/91
Four letters picked without replacement from tyyttt. What is prob of sequence tyty?
1/15
Three letters picked without replacement from iiiissiiii. Give prob of sequence sis.
1/45
Two letters picked without replacement from llzvxvvvvzxxvvvz. What is prob of sequence zv?
1/10
What is prob of sequence mvr when three letters picked without replacement from zrmlddvmz?
1/252
Three letters picked without replacement from {o: 1, m: 2, y: 1, x: 1, i: 1, p: 1}. What is prob of sequence ipx?
1/210
Calculate prob of sequence ux when two letters picked without replacement from {u: 1, n: 6, y: 1, g: 2, x: 2}.
1/66
Three letters picked without replacement from hyjjngjjj. What is prob of sequence gyh?
1/504
Three letters picked without replacement from bbibinb. What is prob of sequence ini?
1/105
Three letters picked without replacement from yqqqqqqxnyynnrxx. What is prob of sequence yrn?
3/1120
Calculate prob of sequence pm when two letters picked without replacement from gwpiwpm.
1/21
Calculate prob of sequence jvtu when four letters picked without replacement from vtvuj.
1/60
Calculate prob of sequence uis when three letters picked without replacement from {i: 1, u: 1, r: 2, s: 2}.
1/60
Three letters picked without replacement from ixxxiiqx. Give prob of sequence xix.
3/28
Calculate prob of sequence rr when two letters picked without replacement from {r: 7}.
1
Two letters picked without replacement from dddd. What is prob of sequence dd?
1
Calculate prob of sequence px when two letters picked without replacement from axpaa.
1/20
What is prob of sequence vlz when three letters picked without replacement from {v: 2, n: 5, z: 4, l: 4, i: 1}?
1/105
Three letters picked without replacement from ckllcqcckkcqckljj. What is prob of sequence qkl?
1/170
Two letters picked without replacement from {x: 2, o: 3, g: 10, q: 2, w: 3}. What is prob of sequence gq?
1/19
Two letters picked without replacement from {j: 3, d: 2}. What is prob of sequence jj?
3/10
What is prob of sequence yxd when three letters picked without replacement from {y: 1, d: 1, x: 1}?
1/6
Three letters picked without replacement from mvhwhdh. What is prob of sequence mwv?
1/210
What is prob of sequence bbkk when four letters picked without replacement from {b: 2, k: 5}?
1/21
Four letters picked without replacement from {o: 5, q: 3, n: 2}. Give prob of sequence nonq.
1/168
What is prob of sequence sszs when four letters picked without replacement from bbbhbzss?
0
Two letters picked without replacement from {y: 2, u: 4, e: 2, i: 2, b: 2}. Give prob of sequence ye.
1/33
Three letters picked without replacement from rrirrriirrrr. What is prob of sequence iii?
1/220
Calculate prob of sequence att when three letters picked without replacement from ataatattaata.
7/66
Two letters picked without replacement from elvss. What is prob of sequence lv?
1/20
Three letters picked without replacement from eeeooeeeooe. Give prob of sequence eeo.
28/165
Four letters picked without replacement from rhhrfhrhrr. What is prob of sequence fhrr?
1/63
What is prob of sequence svs when three letters picked without replacement from {s: 2, t: 3, v: 8, f: 7}?
2/855
What is prob of sequence yjb when three letters picked without replacement from jbsjubjbbjbyjussjjbb?
49/6840
Two letters picked without replacement from {v: 8, d: 1, r: 1, u: 7}. Give prob of sequence dv.
1/34
Two letters picked without replacement from {a: 1, n: 3}. What is prob of sequence nn?
1/2
Two letters picked without replacement from {l: 4, f: 2, b: 4}. What is prob of sequence bb?
2/15
Calculate prob of sequence iij when three letters picked without replacement from {j: 1, i: 11}.
1/12
What is prob of sequence rxs when three letters picked without replacement from xssjxrrn?
1/42
Three letters picked without replacement from {c: 5, g: 9, q: 2, m: 2}. What is prob of sequence qcq?
5/2448
Three letters picked without replacement from crccrrccccr. Give prob of sequence rcr.
14/165
Three letters picked without replacement from {n: 7, b: 4, w: 4, e: 4, g: 1}. Give prob of sequence web.
8/855
What is prob of sequence htgb when four letters picked without replacement from {g: 1, t: 1, j: 2, h: 1, n: 1, b: 2}?
1/840
Calculate prob of sequence prrr when four letters picked without replacement from {r: 10, u: 3, p: 2}.
4/91
Four letters picked without replacement from {m: 3, r: 5, l: 6, t: 2, d: 1}. What is prob of sequence ldmt?
3/4760
Four letters picked without replacement from mmgmmmggvvgmvmvm. What is prob of sequence vvmm?
1/65
Two letters picked without replacement from {f: 1, n: 1, y: 1, c: 1, i: 1}. What is prob of sequence fy?
1/20
Calculate prob of sequence pezp when four letters picked without replacement from {e: 5, p: 2, t: 9, z: 2}.
1/3672
What is prob of sequence eg when two letters picked without replacement from {d: 1, s: 1, g: 2, e: 3}?
1/7
Two letters picked without replacement from uwmmmwwmmzmmmwk. Give prob of sequence um.
4/105
Four letters picked without replacement from {s: 3, i: 3, p: 2, e: 5}. Give prob of sequence eeip.
1/143
Three letters picked without replacement from {b: 3, k: 3, u: 1, l: 1, f: 2, r: 1}. What is prob of sequence rbu?
1/330
Four letters picked without replacement from qqqqqqqqqq. What is prob of sequence qqqq?
1
What is prob of sequence wrw when three letters picked without replacement from vluvfvvluuuvuvruvuuw?
0
What is prob of sequence
|
{
"pile_set_name": "DM Mathematics"
}
|
82124 + 3.2432.
110.8314124
-4345157790293+-1.2
-4345157790294.2
Work out -48.7564 + 153198360.
153198311.2436
What is the difference between 0.159802151921 and 26.9?
26.740197848079
Subtract 42418340 from -0.50538.
-42418340.50538
Add together -86 and 94578787069.
94578786983
Subtract 0.12 from -1997281682645.
-1997281682645.12
What is 21223680494 take away 19?
21223680475
Calculate -0.463233975 - 1995.
-1995.463233975
Calculate -24.9 + 1314944524.
1314944499.1
What is the distance between 215260 and -351917?
567177
What is 23.4165 - 0.02619099?
23.39030901
-0.1 - -432010404115.2
432010404115.1
What is 2.544559 less than -20149?
-20151.544559
2262.624 + -91601
-89338.376
93.561938756+-0.1
93.461938756
What is -8623292 plus -272603?
-8895895
Work out -480413.3901086 + -4.
-480417.3901086
Work out 7526.932718 - 16032.
-8505.067282
-1322 - -29.049262727
-1292.950737273
Work out 3 - 285.932400390256.
-282.932400390256
Work out -1912899 + 31322.
-1881577
-0.002726056684 - -0.072
0.069273943316
Total of -2320528.6745 and 2.486.
-2320526.1885
What is 5 + 548247063.3?
548247068.3
Sum -7446531 and 10748.
-7435783
Subtract -0.879095929 from 0.
0.879095929
Sum 1474630 and 56465730.1.
57940360.1
Sum -3.84 and 4323795973668.
4323795973664.16
What is 134842.4296977 minus -0.1?
134842.5296977
-5 - -5677698751
5677698746
Calculate 85268 + 1725436.3.
1810704.3
What is 953928 less than -394640?
-1348568
Put together -13388447794 and 5686.
-13388442108
What is 0.1 minus 6.55593814495?
-6.45593814495
Add -0.131178588 and -45760.1.
-45760.231178588
Add together 185683.4 and -191510.
-5826.6
What is -452654582 - -3.352?
-452654578.648
Sum 6 and -5495.75167782.
-5489.75167782
Subtract 603183 from -244302.
-847485
Subtract 9053 from 1501744.93.
1492691.93
What is -1383189 - -0.07171?
-1383188.92829
Total of -1.49 and 1843608315.
1843608313.51
What is 0.88 minus 88773467?
-88773466.12
Add together -1.01610396 and 1013.
1011.98389604
What is -7682 take away -2978.6827?
-4703.3173
What is 2412 plus 179515.989962?
181927.989962
Add -0.4 and 92318793.0726.
92318792.6726
What is 14 less than 2768.547310079?
2754.547310079
Add together 2528 and -58112799.
-58110271
Add -22646381.685 and -0.4.
-22646382.085
What is 1770251759 plus 0.006023?
1770251759.006023
What is -137.3534 less than -1118255?
-1118117.6466
Sum -52284404217 and -2973.
-52284407190
52295845238 - -0.31
52295845238.31
Put together 90755569900 and 1.285.
90755569901.285
What is 26612019331.71 less than 0?
-26612019331.71
What is the difference between 0.07 and -12512373361?
12512373361.07
623643675132 + -8
623643675124
Subtract 1262433 from 160574.59.
-1101858.41
What is 4.9 less than -3953846.1599?
-3953851.0599
-13732025980403 - -5
-13732025980398
What is 2.10161 + 2067.2679?
2069.36951
Total of 0.81469 and 1268.0711.
1268.88579
Put together -0.32526 and -2183267914.
-2183267914.32526
What is 889810683377 - -69?
889810683446
Calculate -0.41100357348 + 5.
4.58899642652
Sum 2432866.4345 and -0.5.
2432865.9345
What is 184848315089280 + 2?
184848315089282
What is 149924403777 minus -0.5?
149924403777.5
What is the distance between -19416994458.6 and -616?
19416993842.6
Subtract 2.2 from 19325687886584.
19325687886581.8
What is the difference between -34100531.147 and 29?
34100560.147
Calculate 0.0046457 + -46.77543.
-46.7707843
Subtract 0.2 from 4.4525030821.
4.2525030821
What is 6 minus 213538105972?
-213538105966
What is -3.666843 - 2.80373?
-6.470573
Put together -3514 and -43.11933786.
-3557.11933786
Total of -22.3 and -243542569038.
-243542569060.3
Subtract 30.67 from -912649374.
-912649404.67
What is -71639740.3 plus 3508?
-71636232.3
Work out 0.3 + 14184554928816.
14184554928816.3
What is -0.07134962 - -38434?
38433.92865038
Put together 3154560429.91 and 5.
3154560434.91
-13441343139 - -15190
-13441327949
What is the distance between 0.04 and 243750597.33?
243750597.29
What is 253782 take away 246649264?
-246395482
Add 336.47 and 461.716801.
798.186801
Calculate 100039526588.5 - 0.05.
100039526588.45
Add 2 and 227448565.291.
227448567.291
Calculate 0.502 + -336636815.
-336636814.498
Add 145 and -2600.44964166.
-2455.44964166
Calculate 68459458 + -1.58.
68459456.42
What is 6.12 take away -10049507235.9?
10049507242.02
What is -3.7 + -652683273872?
-652683273875.7
What is 0.3 less than -0.82336649271?
-1.12336649271
What is -24222.28 plus -281688?
-305910.28
What is -1185411376 + -492?
-1185411868
What is 11704255369240 plus -0.5?
11704255369239.5
What is the distance between -110287 and -31558.12?
78728.88
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon multiple of s and k?
99
Suppose 4*h = -t - 0 - 6, -2*h - 2 = 0. Find the common denominator of t/(-5) + 111/(-10) and -31/8.
40
Let q be -4 + 10/15*39. Let j(k) = -47*k + 74. Let n be j(q). What is the common denominator of 2/15 - 1288/n and 51/10?
40
Let b(d) = d**2 - 5*d + 6. Let t = -21 + 19. Let m(y) = 5*y**2 - 26*y + 29. Let p(n) = t*m(n) + 11*b(n). What is the least common multiple of 4 and p(6)?
52
Let g(o) = -3*o**2 - 117*o - 706. What is the lowest common multiple of g(-9) and 130?
520
What is the common denominator of ((-633)/(-201))/((-14)/(-4)) + 48/(-84) and -36/7?
469
Let j = -17423/6 - -2899. Let u = -46423/56 - -829. Calculate the common denominator of u and j.
168
Suppose -p - 2*p + 48 = 0. Suppose 5*y + 8 - 18 = 0. Suppose 62 = y*g + 22. What is the lowest common multiple of g and p?
80
Let r(a) = -a**2 + 27*a - 1. Let c be r(27). What is the common denominator of 15/428 and (3311/84)/11*2/c?
1284
Let i(d) = d**2 + 21*d + 56. Let t(c) = 16*c + 13. Let f be t(-2). Calculate the smallest common multiple of 6 and i(f).
18
Let a(d) = 17*d**2 - 20*d - 259. Calculate the lowest common multiple of a(-7) and 168.
2856
Let l = -12821/4635 + -6/515. Let n = -3721/499536 - -7/13876. What is the common denominator of l and n?
144
Suppose 4327 = -25*a + 11152. Let u(v) = -v**2 + 2*v + 1. Let g be u(-2). Calculate the common denominator of -40/3 and (-575)/a + (-16)/g + -2.
39
Let d(s) = -110*s + 4. Let a be d(5). Let n = 1605307/2850 + -1289/75. Let l = a + n. Find the common denominator of 25/18 and l.
342
Suppose -x = -5*f + 2356, -4*f + 0*x = 2*x - 1896. Calculate the lowest common multiple of f and 118.
472
Let n = 3 - 2. What is the common denominator of n*2 - (-132)/(-21) and -9 + (-43 - -44) - -37*((-196)/(-48) - 4)?
84
Suppose -284*s = -4720 + 1312. Suppose m + 15 = -5*q, 3*q = -3*m + 2*m - 9. Let j = 4 - m. Calculate the lowest common multiple of s and j.
12
Suppose 5234 = -84*f + 89*f + 4*a, 2*f - 5*a = 2054. What is the smallest common multiple of 2 and f?
1042
Suppose -8*n - 126 = -15*n. What is the lowest common multiple of (165/44)/((n/(-40))/(-3)) and 15?
75
Suppose 28 = 13*r - 6*r. What is the least common multiple of 2 + (-5 - (-13)/1*r) and 49?
49
Suppose 2*w - 37069 + 37117 = 3*s, -3*w + 2*s - 17 = 0. What is the least common multiple of w and 142/7 - 4/14?
180
Let j be (51 + 0)*1/6*-49. Let f = -409 - j. Calculate the common denominator of f and 3/10.
10
Let s(p) = 3*p**3 - 14*p**2 + 46*p + 59. What is the lowest common multiple of s(7) and 2353?
9412
Let y = 37223 - 1116833/30. Calculate the common denominator of (2*6)/3 - 1397/396 and y.
180
Calculate the common denominator of 4/10 + (-6432)/11520 and -77/48.
240
Calculate the common denominator of (-2)/6*2610/(-20) and (-58 - -117)/(-2*5).
10
Let i be ((-86)/14 + 5)/(2/(-28)). Suppose -94 = -22*f + i. What is the least common multiple of f and 303?
1515
Let q = 7378 + -7348. What is the lowest common multiple of q and 1653?
16530
Suppose -5*x - 5*i + 20 = 0, -5*i + 10 = 2*x - i. Suppose 63*t - 773 = 176 + 941. Calculate the lowest common multiple of t and x.
30
Let h = -4109 - -4117. Suppose 3*c + 14 = f - 0*c, -c = 5*f - 70. What is the least common multiple of h and f?
56
Suppose 224*a - 1610 = 210*a. What is the smallest common multiple of 11 and a?
1265
Let j = 14 + -16. Let m(z) = 13*z + 28. Let c(k) = -k + 1. Calculate the smallest common multiple of c(-2) and m(j).
6
Let g = 14 - 38. Calculate the common denominator of (4/(-8))/(g/(-318)) and 4 + (10/75 - 3662/240).
8
Let i(k) = 20*k**2 - 98*k + 196. Let t = -24 + 54. What is the lowest common multiple of i(2) and t?
240
Let x = -268/369 - -10867/20664. What is the common denominator of 11/27 and x?
1512
What is the common denominator of 10/33 and (-642)/(-672) + (-4)/(48/6)?
3696
Calculate the common denominator of ((-14)/(-110))/(7/(-14)) and -1/40.
440
Let u = 6586 + -1126210/171. Let x = 309533/58440 - 12/2435. Calculate the common denominator of x and u.
1368
Suppose -4*d + 26 = -p, p + 2 + 3 = d. Suppose 39 = d*i - 3. Suppose -30 = -2*q + i. What is the smallest common multiple of 12 and q?
36
Suppose -5*v + 40 = 5*g, 5*g - 8 = 5*v + 2. Let x = 967/99 + -160/11. Find the common denominator of x and (-3 - 126/33) + v.
99
Let s be (170/5)/((-273)/(2 - 5)). Let o = s - -3903/1001. What is the common denominator of (0 + (-1)/(-4))*53 and o?
44
Let v(j) = 2*j**3 - 141*j**2 - 217*j + 432. Calculate the smallest common multiple of v(72) and 2280.
6840
Let c(d) be the third derivative of -d**4/8 - 21*d**3/2 - 4*d**2. Let h(z) = 14*z**3 - 2*z**2 + 1. Calculate the smallest common multiple of c(-24) and h(1).
117
What is the lowest common multiple of 43 and ((-230)/1610)/((-1)/42)?
258
Suppose -86 = 12*a - 722. Let v = a - 43. Suppose 0 = -4*o + 145 + 7. Calculate the least common multiple of v and o.
190
Let o(i) = 795*i - 131. Let m be o(3). Let v = -13471/6 + m. Find the common denominator of v and 29/4.
12
Let i be (-4375)/10 - ((-91)/14 - -6). Let f = 442 + i. What is the least common multiple of 159 and f?
795
Suppose 21*o - 255 = -19*o + 25*o. Calculate the least common multiple of o and 15.
255
Let x = 330 - 311. Suppose -38 = -n - 3*z, -x*z + 16*z - 6 = 0. What is the smallest common multiple of n and 8?
88
Let r = 18
|
{
"pile_set_name": "DM Mathematics"
}
|
u/(-3) - 1626/9. What is j rounded to the nearest one hundred?
-200
Let f(q) = q + 11. Let j be 122/(-14) + 12/(-42). Let c be f(j). Suppose n = c*n + 830000. What is n rounded to the nearest one hundred thousand?
-800000
Let p be (-447869)/9 - 6/(-27). Let m = p - -112763. Round m to the nearest 10000.
60000
Suppose -2 + 12 = 5*t. Suppose -s - t*m + 181995 = 3*m, -m - 728001 = -4*s. Round s to the nearest ten thousand.
180000
Let n = -1270029.000017 - -1270005. Let p = n + 24. Round p to 6 decimal places.
-0.000017
Suppose 2080 = 104*y - 103*y. What is y rounded to the nearest one thousand?
2000
Suppose 0 = 5*u - v - 15003 + 56999, -u + 5*v - 8380 = 0. Round u to the nearest 1000.
-8000
Suppose 5*d + 7975 = 3*k, d + 10637 = 4*k - 2*d. Round k to the nearest 100.
2700
Let i = 0.00043 - -2.59657. Let d = i + -3.0846. Let h = d + 0.48. What is h rounded to 3 decimal places?
-0.008
Let h = 124245 - 1694245. What is h rounded to the nearest one hundred thousand?
-1600000
Let a = 323.99999722 + -324. Round a to 7 dps.
-0.0000028
Let h = -22 - -11. Let f = 10.895 + h. Let a = 0.1007 + f. Round a to 3 decimal places.
-0.004
Let o = 93 - 92.99844. Round o to four decimal places.
0.0016
Let f(i) = -44717*i**3 + 4*i**2 - 4*i + 4. Let t be f(4). Let s = -4061836 - t. What is s rounded to the nearest one million?
-1000000
Let w(v) = 766*v - 2. Let x be w(-2). Suppose -2108 = -2*z - 380. Let s = x + z. Round s to the nearest 100.
-700
Let v = -450268 + -2449732. Round v to the nearest 100000.
-2900000
Let j = 8.12 - 0.12. Let z = -7.975 + j. What is z rounded to 2 dps?
0.03
Let x = 8 + -27. Let t = x + -2. Let u = t + 21.026. Round u to two decimal places.
0.03
Suppose -2*f = -3*l + 25, 2*f - 3*l + 8*l + 49 = 0. Round f to the nearest 10.
-20
Let f = -7 - -7. Let z = f + -0.27. Let t = z - 0.05. Round t to one dp.
-0.3
Let n = -26776 - -12576. What is n rounded to the nearest 1000?
-14000
Suppose 6*h = 2*h - 74052. Let t = h - -31711. Let r be 1 + (-3)/((-6)/t). What is r rounded to the nearest 1000?
7000
Let p be (-1)/((-9)/(-135898)) + 6/(-27). Round p to the nearest one thousand.
-15000
Let h = -0.61 + 0.09. What is h rounded to 1 dp?
-0.5
Suppose 2*w + 82787 = -45213. Round w to the nearest 10000.
-60000
Let q be 6/(-2) + -99994 + -3. Round q to the nearest one hundred thousand.
-100000
Suppose -4*o - 4*h = -0*h, o - 3*h + 8 = 0. Let q = o + 4. Suppose 0*y - q*y + 168000 = 0. What is y rounded to the nearest 10000?
80000
Let u = 0.328 - 0.26. Let p = -0.067855 + u. Round p to five decimal places.
0.00015
Suppose -4*q - 10866 = 5*h, -3*h - 4286 = -3*q + 2212. Round h to the nearest one hundred.
-2200
Suppose 5*o = 4*i - 6500008, -2*o - 2*i = -3*o - 1300004. Round o to the nearest one million.
-1000000
Let u be 64802/(-9) + 2/18*2. What is u rounded to the nearest one thousand?
-7000
Suppose -z + 28772 = 4048. Suppose 5*f + 25 = 0, 4*c + 1949 - z = -5*f. What is c rounded to the nearest 1000?
6000
Suppose -5 = -t - 4. Let w be 2 - (9100000 - (-2)/t). What is w rounded to the nearest 1000000?
-9000000
Let h = -17574544 - -17574453.00041. Let w = 91 + h. Round w to four dps.
0.0004
Let v = 5.82 - -0.18. Let k = -5.976 + v. Round k to 2 dps.
0.02
Let z = 9 - 19. Let p = z + 9.81. Let c = p - -0.1900085. Round c to 6 dps.
0.000009
Let c = 10.4 + -1.4. Let o = 10.43353 - 1.43458. Let h = o - c. What is h rounded to four dps?
-0.0011
Let b = 11 - 9. Suppose w - b*h = 589990, -2*w + 4*h + 1180005 = 5*h. What is w rounded to the nearest one hundred thousand?
600000
Let u be 4090*(0 + -2 - -12). Let k = 7600 - u. What is k rounded to the nearest one thousand?
-33000
Let r = -0.3 + 0.5. Let u = 86.401 + -86.200983. Let w = u - r. Round w to five decimal places.
0.00002
Suppose -2*c + 1575975 = -5*s, -3*s + 1575995 = 2*c - 4*s. Round c to the nearest one hundred thousand.
800000
Let x(q) = -982*q - 8. Let a be x(6). What is a rounded to the nearest one thousand?
-6000
Let s = 3.5 + -13.3. Let d = 15 + s. Round d to the nearest integer.
5
Let a = -2.17 - -45.54. Let m = a - 0.37. Let u = -36.1 + m. Round u to the nearest integer.
7
Suppose 5*l + 10 + 45 = m, -3*l - 41 = m. Let f be (3 - 1)/(6/l). Let p(s) = 3*s**2 + s + 1. Let b be p(f). Round b to the nearest ten.
50
Let j = 0.15 + 0.85. Let h = 1.00001 - j. Round h to five decimal places.
0.00001
Let c(h) = -h - 14. Suppose 3*d + 55 = -4*k, -4*k - k = 2*d + 60. Let p be c(k). Let i be 3 - p/((-4)/19). Round i to the nearest 10.
-20
Let x(l) = -l - 42800. Let v be x(0). Round v to the nearest one thousand.
-43000
Let x = 0.082 + -40.082. Let p = -6475180 + 6475219.999865. Let g = x + p. What is g rounded to 5 dps?
-0.00014
Let t(p) = -169*p**2 - 7*p - 28. Let j be t(-11). Round j to the nearest one thousand.
-20000
Let n = 21921124 + -9321124. Round n to the nearest one million.
13000000
Let v = -84.99939 - -85. Round v to four dps.
0.0006
Let a = -2.81 + 2.5. Let w = 2.95 - a. Let t = -1.04 - w. What is t rounded to zero dps?
-4
Let b(f) = -f**3 - f**2 - 5*f - 2580000. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
, -1, 0
Let i(w) = 17*w**3 + 27*w**2 + 3*w - 7. Let l(u) = 16*u**3 + 26*u**2 + 4*u - 6. Suppose 0 = r + 3*r + 12. Let t(g) = r*l(g) + 2*i(g). What is a in t(a) = 0?
-1, 2/7
Let s be (28/(-240))/((-56)/72). Let g(r) be the first derivative of 0*r**2 - 3/25*r**5 + 0*r - 14 - s*r**4 + 2/5*r**3. Let g(w) = 0. Calculate w.
-2, 0, 1
Let a = -15833 - -15835. Find s, given that 11/7*s + 2/7 + 2*s**a = 0.
-1/2, -2/7
Factor 69/2*u - 1587/4 - 3/4*u**2.
-3*(u - 23)**2/4
Let a(t) be the third derivative of -t**6/40 + t**5/4 + t**4/8 - 5*t**3/2 - 25*t**2 - 3*t. Factor a(p).
-3*(p - 5)*(p - 1)*(p + 1)
Let f be ((-8)/12 - (-18 - -18)) + 34/33. Find k such that f - 2/11*k**2 - 2/11*k = 0.
-2, 1
Factor 0*z + 78/7*z**3 + 0 + 2/7*z**4 + 0*z**2.
2*z**3*(z + 39)/7
Let h(c) = -9*c**3 - 14*c**2 + c + 6. Let o(f) = -3*f**3 - 5*f**2 + 2. Let y = -72 - -64. Let x(l) = y*o(l) + 3*h(l). Factor x(g).
-(g - 1)*(g + 1)*(3*g + 2)
Suppose 4*t - 22 = 5*v, -t + 3*v = 6*v + 3. Let z(s) be the second derivative of 2/5*s**2 + 0 - 1/30*s**4 + 1/15*s**t + 6*s. Suppose z(g) = 0. What is g?
-1, 2
Factor 1/4*u**2 + 7/4*u - 2.
(u - 1)*(u + 8)/4
Let k(d) = d**3 - 11*d**2 + 2*d - 17. Let a be k(11). Solve -a*p**3 - 12*p**5 + 10*p**4 + 22*p**5 + 5*p**5 = 0 for p.
-1, 0, 1/3
Let s(j) = -j**3 - 8*j**2 - 6*j + 12. Let y be s(-7). What is b in -3*b**5 + 14 - 4*b**4 - 35*b + 4*b**2 + 2 + 20*b**3 - b**y + 3*b = 0?
-2, 1
Let r be (5 + -5)/(-1 + -1). Let b(u) be the third derivative of 1/120*u**6 - u**2 - 1/24*u**4 + 0*u**5 + 0 - 1/12*u**3 + r*u + 1/420*u**7. Factor b(o).
(o - 1)*(o + 1)**3/2
Let b = 21 - 1. Suppose 0 = 5*r - b - 35. Find z such that z - 4*z - 2*z**3 + 4*z**3 + r*z + 8*z**2 = 0.
-2, 0
Let r(z) be the first derivative of -z**7/4620 + z**5/660 + 2*z**3 - 4. Let j(g) be the third derivative of r(g). Find t such that j(t) = 0.
-1, 0, 1
Suppose -t = -5*s - 901, -4*s + s + 5*t - 545 = 0. Let k be 22/60 + (-24)/s. Factor 1 - 3/2*d**2 + k*d + 1/2*d**4 - 1/2*d**3.
(d - 2)*(d - 1)*(d + 1)**2/2
Let m(s) be the third derivative of 12*s**2 + 0*s**3 + 0 - 1/300*s**5 + 0*s**4 + 0*s - 1/600*s**6. Factor m(b).
-b**2*(b + 1)/5
Let h(t) be the second derivative of -8*t**6/15 + 2*t**5 + 37*t**4/4 - 187*t**3/6 - 121*t**2 - 6*t. Factor h(z).
-(z + 1)*(z + 2)*(4*z - 11)**2
Let x(k) = 11*k - 68. Let l be x(7). Let z be (-14)/(-4) + 2/((-6)/l). Find i, given that -3/4*i**5 + 1/4*i**3 + 0 - 5/4*i**4 + 5/4*i**2 + z*i = 0.
-1, -2/3, 0, 1
Let j(z) = 3*z**4 + z**3 - 2. Suppose -s + 6*s + a + 40 = 0, -a = 3*s + 26. Let v(x) = 10*x**4 + 4*x**3 - 7. Let k(t) = s*j(t) + 2*v(t). Solve k(n) = 0.
0, 1
Let h(b) be the third derivative of -b**8/3360 + b**7/1680 - 5*b**3/6 + 5*b**2. Let n(i) be the first derivative of h(i). Let n(d) = 0. Calculate d.
0, 1
Let x be -10*3/(-12) + (-639)/270. Factor 2/15*l - 4/15 + x*l**2.
2*(l - 1)*(l + 2)/15
Let x = 32375/97152 - -3/32384. Factor 0 + 1/3*p**2 + x*p**3 + 0*p.
p**2*(p + 1)/3
Let c(r) be the first derivative of -5*r**9/756 - 11*r**8/420 - r**7/30 - r**6/90 - r**3/3 - 1. Let s(z) be the third derivative of c(z). Factor s(f).
-4*f**2*(f + 1)**2*(5*f + 1)
Let q(m) be the first derivative of 4*m**6/165 + 4*m**5/33 + 17*m**4/132 + 2*m**3/33 - 17*m**2/2 + 5. Let j(w) be the second derivative of q(w). Solve j(x) = 0.
-2, -1/4
Let p(s) be the second derivative of s**4/36 + 11*s**3/36 + 5*s**2/4 - 2*s - 4. Factor p(o).
(o + 3)*(2*o + 5)/6
Suppose 2/15*z**2 - 34/5*z + 20/3 = 0. Calculate z.
1, 50
Determine y, given that -2 - 4*y**5 - 18*y**4 - 27*y - 42*y**3 - 58*y**2 + 10*y**2 - 4 - 2*y**5 + 3*y**5 = 0.
-2, -1
Let d(m) = m**5 - 18*m**4 + 40*m**3 - 38*m**2 + 11*m - 1. Let j(b) = -b**5 - b**4 + b**3 - 3*b**2 - 1. Let q(g) = -3*d(g) + 3*j(g). Factor q(r).
-3*r*(r - 1)**3*(2*r - 11)
Let w(z) = z + 8. Let g(l) = l**2 + 16*l + 92. Let j(k) = -2*g(k) + 22*w(k). Find x, given that j(x)
|
{
"pile_set_name": "DM Mathematics"
}
|
-3, 3, 12, 2, -4 in descending order.
12, 3, 2, -3, -4
Sort -4756, -5, -1 in ascending order.
-4756, -5, -1
Put -3, 4, -2, -5 in ascending order.
-5, -3, -2, 4
Sort -0.81, 1/2, -2 in descending order.
1/2, -0.81, -2
Sort -3, 0, -135, 5, 2.
-135, -3, 0, 2, 5
Sort 3, 39, -6 in ascending order.
-6, 3, 39
Put -5, 3, -38, 4 in increasing order.
-38, -5, 3, 4
Sort 7/2, 0.1, 60, -2.5 in increasing order.
-2.5, 0.1, 7/2, 60
Put -24, -4, -2, 4 in ascending order.
-24, -4, -2, 4
Put -3/8, 29, 3 in decreasing order.
29, 3, -3/8
Put -0.2, -125, 3/5, -2/17 in descending order.
3/5, -2/17, -0.2, -125
Sort -4, 2, -3, 3, 84 in decreasing order.
84, 3, 2, -3, -4
Sort -1/6, 1/3, -9, -3 in descending order.
1/3, -1/6, -3, -9
Sort 6, 1/7, 4/7 in decreasing order.
6, 4/7, 1/7
Put 1, 3, 67, -2 in decreasing order.
67, 3, 1, -2
Sort -1, 48, -4, -10.
-10, -4, -1, 48
Put 131, 4, -3 in decreasing order.
131, 4, -3
Sort 5, -3, 58, 4 in descending order.
58, 5, 4, -3
Sort 14, -0.2, 4/11, 13.
-0.2, 4/11, 13, 14
Sort -0.05, -0.03, -0.2, 3 in decreasing order.
3, -0.03, -0.05, -0.2
Sort -0.5, 0.2, -1.19 in decreasing order.
0.2, -0.5, -1.19
Put -4/7, -8, -1/12 in ascending order.
-8, -4/7, -1/12
Sort -23, -3, -5, 5, -4 in ascending order.
-23, -5, -4, -3, 5
Sort -17, 2, -3, -4, -1.
-17, -4, -3, -1, 2
Put 3/8, 0.059, 2 in ascending order.
0.059, 3/8, 2
Put -5, 41, 3, -3 in increasing order.
-5, -3, 3, 41
Sort -3, 0, 378, -5 in descending order.
378, 0, -3, -5
Put -23, 2, -5, -4 in descending order.
2, -4, -5, -23
Sort 2/13, -2, 3 in ascending order.
-2, 2/13, 3
Sort 0.14, 0.08, 3.
0.08, 0.14, 3
Sort -5, 13, 2/13, -0.2, -31 in increasing order.
-31, -5, -0.2, 2/13, 13
Sort 4, 7, 16 in increasing order.
4, 7, 16
Sort 0.4, 0.5, -3/8 in descending order.
0.5, 0.4, -3/8
Put 2/15, 0.2, 104, 5 in decreasing order.
104, 5, 0.2, 2/15
Put 2, -1, 8 in increasing order.
-1, 2, 8
Put 16, -5, 5, 1 in decreasing order.
16, 5, 1, -5
Put 12/17, -2, -0.6, 0.2 in ascending order.
-2, -0.6, 0.2, 12/17
Sort 0.6, 4, 5, 1.3, -2/5 in decreasing order.
5, 4, 1.3, 0.6, -2/5
Sort -3, 284, -2, 5, 3 in ascending order.
-3, -2, 3, 5, 284
Put -74, 0, 2 in decreasing order.
2, 0, -74
Sort -5, -1, 3, 8, -4.
-5, -4, -1, 3, 8
Put -14, 0.5, -3, -0.1 in ascending order.
-14, -3, -0.1, 0.5
Put -5, -7, 3, 5 in descending order.
5, 3, -5, -7
Put -4, 49, 0 in descending order.
49, 0, -4
Put 2/7, 4, 12 in ascending order.
2/7, 4, 12
Sort 1/8, -0.4, -2/45 in decreasing order.
1/8, -2/45, -0.4
Put 8, -6, 1 in ascending order.
-6, 1, 8
Put 2/3, 0.5, 0.01 in descending order.
2/3, 0.5, 0.01
Put 2/23, -4, 0.5 in descending order.
0.5, 2/23, -4
Put -15, 0.5, -2/13, -2, 3/5 in decreasing order.
3/5, 0.5, -2/13, -2, -15
Put 0, 5, 15 in decreasing order.
15, 5, 0
Put 21, -0.5, -2/5, -3 in decreasing order.
21, -2/5, -0.5, -3
Put -1, -3, -5102, 2 in descending order.
2, -1, -3, -5102
Sort 1, 9, 5 in decreasing order.
9, 5, 1
Put -1, -121, 1, -0.3, 4/5 in ascending order.
-121, -1, -0.3, 4/5, 1
Sort 0, -0.09, -0.4 in ascending order.
-0.4, -0.09, 0
Put -5/4, 2/7, -1/3, 1 in ascending order.
-5/4, -1/3, 2/7, 1
Put -5, 2, -147 in ascending order.
-147, -5, 2
Sort 91, 94, -2.
-2, 91, 94
Sort 5, 1/12, 0 in ascending order.
0, 1/12, 5
Sort -3, 0.7, -7, 0.5 in increasing order.
-7, -3, 0.5, 0.7
Put -3/4, 3, -7, 4, 0.3 in ascending order.
-7, -3/4, 0.3, 3, 4
Sort 1.79, 2, 2/5, -5, 0.3 in increasing order.
-5, 0.3, 2/5, 1.79, 2
Put 0, 2, 4, -1 in descending order.
4, 2, 0, -1
Put -3/5, 3, 80 in ascending order.
-3/5, 3, 80
Put -2/9, -1, 181, 5 in increasing order.
-1, -2/9, 5, 181
Sort 0, 85, -2 in descending order.
85, 0, -2
Sort -1, -13, -10, 5.
-13, -10, -1, 5
Sort -5, -22, -4, 5 in decreasing order.
5, -4, -5, -22
Put -574, -5, 1 in ascending order.
-574, -5, 1
Sort -5, -17, -8, 3 in decreasing order.
3, -5, -8, -17
Sort -67, 0.1, 2/21, 1/4 in increasing order.
-67, 2/21, 0.1, 1/4
Put -4, 0, -21, 3 in descending order.
3, 0, -4, -21
Put 3/5, -95/3, 2, -0.3 in decreasing order.
2, 3/5, -0.3, -95/3
Put 3/4,
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*p + 6*m + 10. Suppose 5*q + b = -p*q + 110, 110 = 5*q + 4*b. Let d be 25 - (0 - -2) - 1. Do q and d have the same value?
True
Let h(a) = 3*a**2 + 17*a - 147. Let u be h(5). Which is smaller: u or -31?
-31
Let v(a) = -2*a**3 - 5*a**2 - 208*a + 878. Let q be v(4). Which is bigger: q or -2112/13?
q
Let m = 9 - 44. Let o = m - -90. Let h = o - 58. Do 15 and h have different values?
True
Let h = -8 + 7. Let s = h - -3. Let j = 2/2629 - -5244/18403. Which is smaller: s or j?
j
Let a be (-32)/66 - (-2 - (-16)/12). Let d(f) = 12*f - 12. Let p be d(5). Let y be 3/2 - 40/p. Which is greater: y or a?
y
Let k(q) = 5*q + 0 + 2 - q - q. Let t be k(0). Let s be 6 - -1*(-8)/t. Which is greater: s or 9/7?
s
Let t be (2 - (-8)/(-14))/4. Suppose -5*u - 3*a - a + 8 = 0, 4*a + 8 = -u. Suppose 79*v + u = 75*v. Which is bigger: t or v?
t
Let t be (-18)/(-99) + 108/132. Which is bigger: 2959 or t?
2959
Let y = -1401 + 960. Which is smaller: y or 0?
y
Suppose -5*u - 75 = 3*s, -127 = 5*s + u - 2. Let f be (7 + (-40)/(-16))*-2 - 3. Which is bigger: f or s?
f
Suppose 31*q - 1074 = 1024 - 2036. Let o(j) = -6*j**3 - 2*j**2 - 4. Let h be o(3). Is h >= q?
False
Let c(n) = -2*n**3 - 2*n**2 + 3*n + 7. Let r be c(-3). Suppose a = -2*u + 10, 5*a + 0*u + 6 = 4*u. Let i be ((56/6)/a)/((-2)/(-15)). Is r bigger than i?
False
Let n = 837 - 615. Let l be (-2)/(-3)*-3 + 4. Suppose -l*i + 5*i = n. Which is bigger: i or 73?
i
Let s be 20/3*(-12948)/415. Let l be (-288)/s*((-8)/(-6) - 1). Is 0 greater than l?
False
Suppose 11*a + 14*a = 16*a. Let p be (-3)/6*2/366. Which is greater: p or a?
a
Let o be 4/(-10) - (-356)/(-10). Let m(s) = -s**3 + 10*s**2 - 13*s + 94. Let a be m(10). Are o and a equal?
True
Let j = 75 - 76. Let q(n) = 4*n**2 + n + 2. Let l be q(j). Suppose -2*t - 11 = -l. Are t and -8/3 nonequal?
True
Let o = 1215 - 1030. Which is greater: 0 or o?
o
Let d(b) = -2*b**2 - 13*b - 52. Suppose 0 = 7*c + 17*c + 288. Let r be d(c). Is r greater than or equal to -184?
True
Let a = -3826 - -3519. Do a and -311 have different values?
True
Let u = -7941 - -39709/5. Which is smaller: u or -717?
-717
Let f be (-7450)/(-33444) + (-72)/(-81)*(-17)/68. Is f bigger than -1?
True
Let i = -7318951/59297 - -1/8471. Is -123 bigger than i?
True
Let n(d) = 7*d**2 + d + 22. Let i be n(7). Suppose -i = -21*u + 24*u. Let h = u - -114. Which is smaller: h or -12?
-12
Let u = -25.1 + 44.8. Let z = 119.7 - u. Let c = z - 99.88. Do c and 3 have the same value?
False
Let u(p) = p**3 + 8*p**2 + 16*p. Let i be u(-4). Suppose i = -2*o + 7*o + 7*o. Is 2/207 bigger than o?
True
Let k = -12.7 + -240.3. Let t = k + 251. Let f = -8 + 23. Which is greater: t or f?
f
Suppose 28*k - 24*k - 536 = 0. Let h = k + -89. Suppose -10*f + 235 = h. Is 18 greater than f?
False
Suppose 63*p = 60*p + 1329. Is 445 < p?
False
Suppose -150*p - 145 + 145 = 0. Is p < 21/475?
True
Let c = 47 - 53. Let t(y) = -4*y**3 + 2*y**2 - 3*y + 5. Let n be t(2). Let f = n - -19. Are f and c unequal?
False
Suppose 484 = j - 3*g, -2*g + 4*g + 1431 = 3*j. Which is bigger: -2 or j?
j
Suppose -2*g - 2*y = 4, -5*g - y = 7 - 1. Let m be (-2)/((-2)/(-57)) + (-12 - -13). Let x = 169/3 + m. Which is bigger: x or g?
x
Let j be 2 + -1 + -3 + 48/8. Suppose -z = 0, 0*p - p - 138 = j*z. Is -139 > p?
False
Let o be 3/((-2)/(-5)*6/(-20)). Do o and -273/11 have the same value?
False
Let n(p) = -28*p + 3144. Let m be n(92). Is 569 smaller than m?
False
Let d = -0.14777 - 0.18367. Is d <= -1?
False
Let k = -8144 + 8163.129. Let w = k - 0.129. Which is smaller: w or 2/5?
2/5
Let i = 3265 + -3265. Is -1/25 at most as big as i?
True
Let s = -123/35 - -39/5. Let k = 66 - 64. Let r be (((-50)/15)/(-5))/(k/15). Are r and s equal?
False
Let s = 9042 + -9950. Do -906 and s have different values?
True
Let o be 30*((-864)/(-45))/(-8). Which is greater: -65 or o?
-65
Let r = -19 - -4. Let h = -6 - r. Let j = -2150 + 2147. Which is smaller: j or h?
j
Suppose -5*x - 4*z + 792 - 832 = 0, -23 = 2*x + 3*z. Is x > -364/89?
True
Suppose y = 6, 6*l = 5*l + 5*y - 308. Is l bigger than -3045/11?
False
Let h be -11 + -1934 - (15 + -19). Is -1943 greater than or equal to h?
False
Let j be ((-370)/70 - -5)*(-4)/(-5888). Which is greater: j or 0?
0
Let r = -4664 - -4666. Is r > 140/67?
False
Let d = 0.76 + -10.96. Let f = -10.3 + 0. Let w = f - d. Which is greater: -6.3 or w?
w
Let n = -48759/194 + -210/97. Is n smaller than -255?
False
Suppose 4*a = -29*t - 166, -106*a + 107*a + 4*t + 22 = 0. Let n = 13 + -9. Let j be (n/(-10))/(4/(-5)). Which is greater: j or a?
a
Let z(a) = -190*a + 406. Let c be z(2).
|
{
"pile_set_name": "DM Mathematics"
}
|
345, 1764, 2133, 2434, 2649?
2760
What is the next term in -456, -933, -1394, -1833, -2244, -2621?
-2958
What is next in -693, 1035, 7641, 21567, 45255, 81147, 131685, 199311?
286467
What comes next: 16423, 33127, 50121, 67417, 85027, 102963?
121237
What comes next: -10810, -10571, -10218, -9757, -9194?
-8535
What is next in 5733, 5923, 6167, 6465, 6817?
7223
What is the next term in 4585, 8332, 12079, 15826, 19573?
23320
What is the next term in -23332, -46590, -69770, -92872, -115896, -138842?
-161710
What is next in 3858, 2660, 1462, 264?
-934
What comes next: 4291, 8407, 12365, 16171, 19831?
23351
What is the next term in 13508, 26559, 39158, 51305?
63000
What comes next: -220786, -220809, -220828, -220843, -220854, -220861?
-220864
What comes next: -6997, 1515, 10025, 18533, 27039?
35543
What is the next term in -45599, -364912, -1231667, -2919596, -5702431?
-9853904
What comes next: -2822, -12593, -28876, -51671, -80978, -116797?
-159128
What is the next term in -9802, -19534, -29262, -38986, -48706?
-58422
What comes next: 102840501, 102840499, 102840497?
102840495
What is the next term in -180129, -1440762, -4862499, -11525892, -22511493?
-38899854
What comes next: 287, 2497, 6179, 11333, 17959, 26057, 35627?
46669
What comes next: 538, 2231, 5214, 9619, 15578?
23223
What comes next: -3452, -11854, -22292, -31850, -37612, -36662, -26084?
-2962
What is next in 165040, 164820, 164454, 163942?
163284
What is next in -4965, -39595, -133621, -316743, -618661?
-1069075
What is next in -110045, -220138, -330275, -440456, -550681?
-660950
What is the next term in -52996, -52939, -52882, -52825, -52768, -52711?
-52654
What is next in -49, 264, 1147, 2894, 5799, 10156, 16259, 24402?
34879
What is the next term in -812298, -1624641, -2436988, -3249339, -4061694, -4874053?
-5686416
What is the next term in 74205, 73481, 72275, 70587?
68417
What is next in 9929, 82535, 280491, 666473, 1303157, 2253219?
3579335
What is next in -204252416, -204252414, -204252412, -204252410, -204252408, -204252406?
-204252404
What is next in -5010, -9787, -14564, -19341, -24118, -28895?
-33672
What is the next term in 3519, 5928, 8349, 10788, 13251?
15744
What comes next: -10457, -9676, -8897, -8120?
-7345
What is next in 837723, 1675453, 2513183, 3350913, 4188643, 5026373?
5864103
What comes next: 432, -24, -2258, -7158, -15612, -28508, -46734, -71178?
-102728
What comes next: 1566717, 6266847, 14100397, 25067367, 39167757?
56401567
What is the next term in -271060657, -271060656, -271060655?
-271060654
What is the next term in 1553, 6325, 14319, 25535, 39973?
57633
What is the next term in 162321, 162316, 162309, 162300, 162289?
162276
What comes next: 11842, 10068, 7114, 2980, -2334, -8828, -16502?
-25356
What is next in -69539377, -139078763, -208618151, -278157541, -347696933, -417236327?
-486775723
What is the next term in -200491, -200459, -200397, -200293, -200135, -199911?
-199609
What is the next term in -496840, -993621, -1490404, -1987189, -2483976, -2980765?
-3477556
What is the next term in 465885, 931796, 1397707, 1863618?
2329529
What comes next: 1065338, 1065324, 1065312, 1065302?
1065294
What is next in -1457, -6206, -10955, -15704, -20453, -25202?
-29951
What comes next: 402182, 804285, 1206388, 1608491, 2010594, 2412697?
2814800
What is next in 4087, 9813, 15539, 21265, 26991, 32717?
38443
What is next in 675, 2622, 5445, 8802, 12351, 15750, 18657, 20730?
21627
What comes next: 48912, 48764, 48618, 48474, 48332, 48192?
48054
What is the next term in -200248112, -200248114, -200248116, -200248118, -200248120, -200248122?
-200248124
What comes next: -579977, -1159817, -1739661, -2319509, -2899361, -3479217, -4059077?
-4638941
What is the next term in 28210, 28166, 28098, 28006, 27890?
27750
What is next in -1820460, -1820451, -1820442?
-1820433
What comes next: 177438, 177493, 177588, 177717, 177874?
178053
What is the next term in 38522, 39717, 40912, 42107, 43302, 44497?
45692
What comes next: -46169, -92264, -138359, -184454?
-230549
What is next in -6199, -6850, -8611, -12034, -17671, -26074, -37795?
-53386
What comes next: 1136378, 1136405, 1136454, 1136531, 1136642?
1136793
What is the next term in -16202, -31589, -46976, -62363?
-77750
What is the next term in 2238, 5166, 8196, 11328?
14562
What is next in 2305005, 2305148, 2305291, 2305434, 2305577?
2305720
What comes next: 76924, 153811, 230694, 307573?
384448
What is the next term in 4702190, 9404378, 14106564, 18808748, 23510930, 28213110, 32915288?
37617464
What is the next term in 900, 4685, 11036, 19953?
31436
What is the next term in -210607, -842662, -1896165, -3371116, -5267515, -7585362?
-10324657
What comes next: 526, 2526, 6570, 13234, 23094, 36726, 54706?
77610
What comes next
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 2
Simplify sqrt(147)*6 - ((sqrt(3) + -2)**2 + -5) - (-6*(sqrt(144) + sqrt(36)))/((-2*sqrt(96))/sqrt(8)).
-2 + 37*sqrt(3)
Simplify (3 + 5*sqrt(28)/sqrt(4)*-4*-2)**2.
240*sqrt(7) + 11209
Simplify (-1*(sqrt(405)*6)/((sqrt(81)*-2 + sqrt(81))/sqrt(9)))**2*1.
1620
Simplify -5*-6*(4*sqrt(720)*-4 - sqrt(720)).
-6120*sqrt(5)
Simplify -2*(sqrt(147) + sqrt(147)*4 + sqrt(147))**2 + -4 + sqrt(147) + (2*sqrt(147))**2.
-10000 + 7*sqrt(3)
Simplify 2*(sqrt(192) - (sqrt(192) + -1)) + -5*2*sqrt(192) + -3 + (sqrt(192) + sqrt(192) + 3)**2 + 3.
16*sqrt(3) + 779
Simplify (((-4*sqrt(231))/sqrt(11))/((-1*sqrt(7) - sqrt(7))*1))**2.
12
Simplify (sqrt(2662)*-1)/sqrt(2) + sqrt(1584) + (sqrt(1584)*2 + -4 + sqrt(1584))**2 + sqrt(1584) + sqrt(1584).
-263*sqrt(11) + 14272
Simplify 0 + (sqrt(176) + 3)*-3 + (-3*sqrt(176) + sqrt(176))*-4 + 0.
-9 + 20*sqrt(11)
Simplify ((6*sqrt(208)/sqrt(4) - (sqrt(143) + (sqrt(143) - ((sqrt(143)*-1*-6 - sqrt(143)) + sqrt(143) + sqrt(143))))/sqrt(11))*-5)**2.
93925
Simplify 1*(-3*sqrt(171)*1)/(sqrt(729)*1).
-sqrt(19)/3
Simplify (3*(sqrt(110) + (sqrt(110) - (sqrt(110) - sqrt(110)*2)) - sqrt(110)))/(sqrt(490) + sqrt(490)*2)*-4.
-8*sqrt(11)/7
Simplify (-4*sqrt(63)*-1)**2 + 5*(6*sqrt(35))/sqrt(5).
30*sqrt(7) + 1008
Simplify (-3 + sqrt(175) + 2 + (sqrt(175) - ((sqrt(175) - (sqrt(175) + 2*sqrt(175) + -2)) + sqrt(175))))**2*2.
-180*sqrt(7) + 3168
Simplify (sqrt(3) - sqrt(3)*-1)*4*3 + (-1*sqrt(9))/sqrt(3)*2.
22*sqrt(3)
Simplify 1*(-3*sqrt(304))**2 + (1 + sqrt(304) + 1)**2 + 0.
16*sqrt(19) + 3044
Simplify (-3*2*sqrt(78)*-3)/(4*((sqrt(216) - (sqrt(216) + 1*sqrt(216) + sqrt(216) + sqrt(216))) + sqrt(216) + sqrt(216)) + sqrt(216)).
-sqrt(13)
Simplify (5*((sqrt(2156) - (sqrt(2156) - (sqrt(2156) - (2 + sqrt(2156))))) + sqrt(2156) + 2*sqrt(44)*4))**2.
-3000*sqrt(11) + 247600
Simplify -5 + (sqrt(19) - (sqrt(19) + -1)) + -1 + 1 + (sqrt(1539) - (sqrt(1539) + (2*sqrt(1539))**2)).
-6160
Simplify ((3*sqrt(2736) + sqrt(2736))**2 - (1 + sqrt(684))) + -1 + -2.
-6*sqrt(19) + 43772
Simplify -1 + -5 + sqrt(1584)*4 + -4 + 2.
-8 + 48*sqrt(11)
Simplify -1*-2*(sqrt(250)/sqrt(5) - (2*sqrt(162))**2)*-6.
-60*sqrt(2) + 7776
Simplify -4*6*(sqrt(243) - (sqrt(243)*3 + 1) - 3*sqrt(243)*1).
24 + 1080*sqrt(3)
Simplify ((sqrt(2200) - sqrt(2200)*2) + sqrt(792) + (sqrt(792) - sqrt(792)*-1))/(sqrt(72) + -3*1*sqrt(72)).
-2*sqrt(11)/3
Simplify 3*(sqrt(70) + -1*sqrt(70)*-2)/(5*sqrt(360)).
3*sqrt(7)/10
Simplify -5 + (-1*(sqrt(5) + sqrt(5)*-1) - 3*(sqrt(320))**2).
-965
Simplify (((5*-2*sqrt(119) - sqrt(119)) + sqrt(119))/(sqrt(42)/(sqrt(24)/sqrt(4))))**2*3*5.
25500
Simplify (-2*sqrt(800))/(sqrt(90)/(sqrt(9)*-6)) + -2.
-2 + 48*sqrt(5)
Simplify (sqrt(475) + -3 + -2 - sqrt(475))**2 - (-4 + ((-2*sqrt(228))/sqrt(12) - sqrt(19) - sqrt(19))).
4*sqrt(19) + 29
Simplify -4*(-4 + (sqrt(28)*1 - (sqrt(63) - sqrt(1575))/sqrt(9))**2).
-992
Simplify 0 + 4 + ((sqrt(39)*1*-4)/sqrt(3)*6)**2.
7492
Simplify 3*sqrt(13)*6 + sqrt(13) + sqrt(5200)/sqrt(4) + 3.
3 + 29*sqrt(13)
Simplify (-3*(sqrt(20) + sqrt(40)/sqrt(2)*-1 + sqrt(20)))/(6*sqrt(20)/sqrt(2)*3).
-sqrt(2)/6
Simplify (sqrt(162) + sqrt(162)*1 + -1 + sqrt(162) + sqrt(162) + sqrt(2)*-1 + -4 + (-2*sqrt(6))/sqrt(3) + sqrt(2) + 1 + 0)**2.
-272*sqrt(2) + 2328
Simplify ((2 + -5*(sqrt(125) + 1))*-4)**2.
2400*sqrt(5) + 50144
Simplify (-4*(sqrt(1300) + 4))**2 + (2*-2*sqrt(104) - sqrt(104))/sqrt(8).
1275*sqrt(13) + 21056
Simplify (sqrt(18) + (sqrt(36)/sqrt(2) + sqrt(18))*-1)/(sqrt(252)/sqrt(7) + sqrt(9)).
-sqrt(2)/3
Simplify (((sqrt(128) - sqrt(128)*-1) + -2)**2 - (-4*sqrt(224)/(sqrt(14)/sqrt(2)))**2) + -5.
-64*sqrt(2) - 1
Simplify (sqrt(171) + (sqrt(171) + 3*(sqrt(171) + ((sqrt(171)*2 - sqrt(171)) + sqrt(171) - sqrt(171))) - sqrt(171) - sqrt(171)))/(sqrt(144)*1).
3*sqrt(19)/2
Simplify ((-3 + 0 + 3*sqrt(1088))*-2)**2 + -1.
-576*sqrt(17) + 39203
Simplify (2 + (3*sqrt(3168) - sqrt(3168))/sqrt(11) + 5)**2.
336*sqrt(2) + 1201
Simplify ((-2*1*sqrt(228))/((3*sqrt(72))/sqrt(6)))**2*5.
380/9
Simplify (4*sqrt(420)/(sqrt(7) + sqrt(21)/sqrt(3)))/(-5*((2*sqrt(144) - sqrt(144))/sqrt(12) + sqrt(12))).
-sqrt(5)/5
Simplify ((sqrt(847) - (-1 + sqrt(847))) + -5 - ((sqrt(7) - (sqrt(7) + 0) - sqrt(7)) + 3)*6) + 5.
-17 + 6*sqrt(7)
Simplify (5*2*sqrt(104) - sqrt(104))/(2*sqrt(1152))*3.
9*sqrt(13)/8
Simplify -2*(sqrt(204)/(sqrt(24)/sqrt(2)) + (sqrt(68) + -1 - sqrt(68))) + -3.
-2*sqrt(17) - 1
Simplify (-4 + (-1*sqrt(117))**2)*3 + 1.
340
Simplify (-1 + sqrt(147) + -5)**2
|
{
"pile_set_name": "DM Mathematics"
}
|
*(j - 326) prime?
True
Let i(v) = -1. Let t(o) = -o + 2. Let h(y) = -3*i(y) + t(y). Let l be h(-1). Is 21610/(30/l) + 3/(-1) prime?
False
Suppose 82*t + 75 = 107*t. Is 8 + -11 + 8310/t composite?
False
Let w(v) be the second derivative of 14*v**4/3 + v**3/6 - 5*v**2 + 2*v. Is w(-5) a prime number?
False
Let k(w) = 107*w**2 - 3*w + 26. Let t be k(12). Is t + -7*(-21)/49 prime?
True
Let b(m) = 52*m - 49. Let c be b(6). Let f be 54/9 + -2 + -2. Let q = c + f. Is q composite?
True
Let f(g) = 73*g**3 - 53*g**2 + 166*g + 38. Is f(20) prime?
False
Let k = 79716 - -91641. Is k prime?
False
Let o(k) = 310*k**2 - 58*k + 31. Is o(9) composite?
True
Let k(c) = 18*c**3 - 40*c**2 + 14*c - 155. Is k(17) composite?
True
Suppose -5*v - 2*b - 29281 = -635050, -121130 = -v + 3*b. Is v prime?
True
Suppose -3270235 = -16*q - 993611. Is q prime?
False
Let n(c) = 5*c**2 + 10*c + 1279. Is n(-31) prime?
False
Let d(y) = 396*y**2 - 1157*y - 31. Is d(-18) a composite number?
False
Let q be 17638 + 0/(-2) - (8 + -5). Let v be (5 - 4)/(1/q). Suppose -4*r + v = 5*g, -2*r + 3*g - 22034 = -7*r. Is r a prime number?
False
Let h(y) = 322*y**3 + 3*y + 691*y**3 + 9*y**2 - 300*y**3 - 4. Is h(3) composite?
True
Is (-2025309)/(-234) - (-42)/(-36) composite?
True
Let g be (-4)/(-36) - 119240/(-90). Suppose -9*r + 10*r - 5307 = -4*c, -c = 2*r - g. Is c a composite number?
False
Let w(o) = 611*o + 58. Let a(n) = -306*n - 29. Suppose -7*l + 15 = -4*l. Let s(q) = l*a(q) + 2*w(q). Is s(-7) a prime number?
False
Suppose 3*o = 4*o + 4*g + 79, -2*o - 2*g = 146. Let f = -62 - o. Suppose 324 = 3*u - f. Is u a prime number?
False
Let s = 4 - -4. Suppose 1368 + 720 = s*r. Suppose -r = -2*n + 343. Is n prime?
False
Let p(c) be the first derivative of c**2 + 2*c - 1/3*c**3 + 39 - 625/2*c**4. Is p(-1) composite?
False
Let o(v) = -12*v - 1. Let h be o(-1). Let d(i) = i**2 + 5 - h*i - i**3 - 3*i**2 + i**2. Is d(-8) composite?
False
Suppose 3784*p - 3791*p = -2468795. Is p composite?
True
Let v(u) = -6073*u - 4059. Is v(-46) composite?
False
Let m be (2/(-3))/((-2)/9). Suppose -45 = m*p + 3639. Let g = p - -4431. Is g composite?
False
Let v(j) = -40*j**2 + 4*j**3 - 18*j**3 - 81*j + 13*j**3 + 57. Is v(-41) a prime number?
True
Suppose 86*f - 288811254 = -305*f + 37*f. Is f a composite number?
False
Suppose -y = -a - 78368, 3*a - 63340 - 171758 = -3*y. Is y a composite number?
False
Suppose 21*b - 18*b = -15408. Let d be (-3)/(30/(-5))*(b - 0). Let m = d + 4121. Is m a prime number?
True
Suppose -g - 28 + 19 = 0. Let t be (-1)/3*1*g. Is ((t - 0)/(-1))/((-6)/586) composite?
False
Is (-55)/(-33) - 5449576/(-66) a composite number?
False
Let q(d) = 37*d**2 - 40*d + 301. Is q(30) a prime number?
True
Let a(b) = b**3 - 27*b**2 - 12*b - 13. Let h be a(16). Let l = 4300 - h. Is l a composite number?
False
Let y = -5297 - -9084. Is y composite?
True
Is 13449623/20 + 6/(-40) composite?
True
Let u(q) = -6*q**2 + 36*q + 3. Let s be u(6). Suppose -5475 = -s*t - d - 4*d, -4*d = t - 1818. Is t/10 + (-2 - 0) prime?
True
Let q(p) = 25*p**2 + p - 9. Let r(i) = -i - 14. Suppose -c + f = -2*f, 5*c + 33 = 4*f. Let x be r(c). Is q(x) a composite number?
True
Let z(u) = -167718*u + 2591. Is z(-2) prime?
True
Let s = -467 - -471. Suppose w = 3*w - 202. Suppose -23 = -s*g + w. Is g a prime number?
True
Let x(a) = 7*a**3 + 2*a**2 - 4*a. Let i(w) = w - 1. Let f be i(5). Let r be ((15/f)/(-3))/(1/(-4)). Is x(r) a composite number?
True
Let v(p) be the second derivative of 13/6*p**3 - 36*p - 5/4*p**4 + 0 - 5/2*p**2 + 1/10*p**5. Is v(11) a composite number?
True
Suppose 4*l - 206111 = -5*f + 112733, -5*l = 10*f - 398555. Is l a composite number?
True
Let c(q) = -2*q**2 - 6*q + 24. Let t be c(-5). Suppose -n + t*l + 3025 = 0, -10*n - 2*l - 9105 = -13*n. Is n prime?
True
Suppose -5*w + 47 = k, -k - 3*w + 0*w = -39. Suppose b - 5*n = k, -b + 4*b + n - 17 = 0. Suppose -892 = 3*x - b*x. Is x prime?
True
Let b(i) = i**2 - 7*i - 4. Suppose 4*l - 45 = -9. Let x be b(l). Is (-17)/(-7)*202 - (-6)/x prime?
True
Suppose -2*x + 8717670 = 5*m - 1313507, 0 = x - 6. Is m a prime number?
False
Is 3083532/(-16)*(-164)/123 prime?
False
Suppose 31416 = 5*z + 5*y + 6476, 5*z - 24941 = -4*y. Is z a composite number?
True
Let p be 1 - 8/((-32)/132). Suppose -31*a + p*a - 33477 = 0. Is a composite?
False
Let m(l) = -4*l**3 + 9*l**2 - 52*l - 396. Is m(-11) a composite number?
True
Let l = -330681 - -612670. Is l prime?
True
Let q(r) be the second derivative of 577*
|
{
"pile_set_name": "DM Mathematics"
}
|
8) - sqrt(168)))/sqrt(12))/(5*(sqrt(7) - -2*sqrt(112))).
4*sqrt(2)/45
Simplify 1 + ((2*sqrt(156)*-5)/(sqrt(12) + sqrt(144)/(sqrt(60)/sqrt(5))))**2.
326
Simplify ((1*sqrt(35)*5)/sqrt(5)*-1 + -5)*-6.
30 + 30*sqrt(7)
Simplify (-6*(sqrt(102) + (sqrt(102) - (sqrt(102) + (sqrt(102) - -2*sqrt(102)))*2))/((sqrt(42)*1)/sqrt(7)))**2.
22032
Simplify ((sqrt(1080) - ((sqrt(1080) + -3*sqrt(1080))*6 - sqrt(1080)))/(4*((sqrt(10) - -2*1*sqrt(10)) + sqrt(10))))**2.
1323/16
Simplify (sqrt(1872) + -6*sqrt(1872)*2 + (sqrt(1872) - (-5 + 2*sqrt(1872))))*-3.
-15 + 432*sqrt(13)
Simplify 5 + ((sqrt(3872) + 2 + -1 + 2)*-2)**2.
1056*sqrt(2) + 15529
Simplify ((2*sqrt(192))**2 - (sqrt(363)*-2)**2)*4.
-2736
Simplify -1 + (-5 + 4 + sqrt(833) + (-1 + sqrt(833))*6 + 4)**2.
-294*sqrt(17) + 40825
Simplify ((sqrt(15) - sqrt(60)/(sqrt(12)/sqrt(3)) - (sqrt(15) - sqrt(45)/sqrt(3))*-1)/(sqrt(288)/sqrt(6) + sqrt(3) + (2*sqrt(12) - sqrt(3) - sqrt(3))))**2.
0
Simplify 2 + 4 + 2*sqrt(6)/sqrt(3) + (((sqrt(100) - -1*sqrt(100)) + sqrt(100))/sqrt(5))/sqrt(10).
6 + 5*sqrt(2)
Simplify (sqrt(126)/sqrt(2) - sqrt(70)/(sqrt(60)/sqrt(6)))*3*6.
36*sqrt(7)
Simplify (-1*sqrt(99))**2*-2 + -5 + (-3*(sqrt(55) - sqrt(220)/sqrt(4)))/(sqrt(20)*4).
-203
Simplify ((sqrt(539)*-1)**2 + 4 + (-1 + sqrt(11) - sqrt(11)))*2 - ((-2*sqrt(1100) - 5*(2*sqrt(11))**2) + 0).
20*sqrt(11) + 1304
Simplify (sqrt(16)/(1*sqrt(4)) + sqrt(4) - sqrt(4))/sqrt(2) + -3 + (sqrt(16)/(sqrt(32)/sqrt(4)) - sqrt(2)).
-3 + sqrt(2)
Simplify -4 + -1*(1 + sqrt(130)/(sqrt(10) + 1*sqrt(50)/sqrt(5) - sqrt(10)))*3.
-3*sqrt(13) - 7
Simplify -5*(sqrt(637)*2 + sqrt(637) + 3 - 1*(-1 + sqrt(637)) - (1 + sqrt(637) + 1 + 4))**2.
-3205 + 140*sqrt(13)
Simplify 5*(((sqrt(168)/sqrt(7))/sqrt(4))/sqrt(3) - sqrt(22)/(sqrt(88)/sqrt(8)*6)).
25*sqrt(2)/6
Simplify ((sqrt(117) + 2 + sqrt(117) + sqrt(117) + sqrt(117))**2 + 4 - (-5*(sqrt(117) + 1) - sqrt(117))**2)*-6*5 + 4.
3960*sqrt(13) + 70714
Simplify 2*((sqrt(143) + sqrt(143)*-2)*1)/(sqrt(275) + sqrt(275)*2).
-2*sqrt(13)/15
Simplify 3 + 2*(-3*-2*sqrt(88))/(sqrt(48)/sqrt(294)).
3 + 84*sqrt(11)
Simplify (((-3*sqrt(117) - sqrt(117))*2 + sqrt(117))/(sqrt(99)/(sqrt(55)/sqrt(5))))**2.
637
Simplify (2*1*sqrt(1375) + sqrt(1375))/(sqrt(45)/(3*sqrt(900) + sqrt(900))).
600*sqrt(11)
Simplify ((sqrt(63)/(sqrt(1089) + (1*sqrt(1089) + sqrt(1089) - sqrt(1089)) + sqrt(1089)))**2 - (((sqrt(7) - sqrt(7)*-2) + -2)**2 + (sqrt(35)*2)/sqrt(5)))*6.
-145912/363 + 60*sqrt(7)
Simplify -2*((sqrt(51)/sqrt(3))**2 + -4 - sqrt(17) - (sqrt(612)*-2 + sqrt(612))**2) + (sqrt(34)/sqrt(2) + 1)*-6*-5.
32*sqrt(17) + 1228
Simplify (2*((sqrt(12) - -2*sqrt(12)*-2) + sqrt(12))/(sqrt(196)*4))**2.
3/49
Simplify -4*(sqrt(13) + (3*sqrt(52))/sqrt(4)) - (sqrt(325) + 2)**2*-6.
104*sqrt(13) + 1974
Simplify 4 + (-5*(-2*sqrt(84) - sqrt(84)))/((sqrt(108) + (sqrt(108) - sqrt(108)*-1))/sqrt(9)).
4 + 5*sqrt(7)
Simplify (1*(sqrt(832)*1 - sqrt(832))**2 - (sqrt(832) - -3*(sqrt(832) + 0 + sqrt(832)))) + 4 + (sqrt(832) + sqrt(832) + (sqrt(832)*4 - sqrt(832)) + -3)**2.
-296*sqrt(13) + 20813
Simplify ((sqrt(70)/(sqrt(14)/sqrt(7)))/(-2*sqrt(30)/sqrt(6)))**2.
7/4
Simplify ((1 + sqrt(637) - sqrt(637))*5)**2 + (-1*(sqrt(637) + 1))**2 + (-1*(-1 + sqrt(637) + sqrt(637))**2 - (-1*sqrt(637)*3)**2).
-7619 + 42*sqrt(13)
Simplify (-5*(sqrt(152) + sqrt(152) + -1*sqrt(152)) - sqrt(152) - sqrt(152)*-2*-4)/((4*sqrt(1440))/sqrt(5)).
-7*sqrt(19)/12
Simplify (((-1 + sqrt(63))*-4)**2 - (1 + (1*sqrt(49))/sqrt(7))**2) + -2.
-98*sqrt(7) + 1014
Simplify (sqrt(112) + (-4 + sqrt(112))*-2)*5 + 0.
-20*sqrt(7) + 40
Simplify (sqrt(60)/sqrt(50)*-3)/(sqrt(54)/(sqrt(81)*6 - sqrt(9))).
-51*sqrt(5)/5
Simplify (sqrt(432) + 1 + -3 + -2*sqrt(432) + 2)**2*-2*-5.
4320
Simplify ((-2*(sqrt(510) - (4*sqrt(510) - sqrt(510))) + sqrt(510))/sqrt(10))/(sqrt(576)/(sqrt(96)/sqrt(8))).
5*sqrt(17)/4
Simplify (-3*sqrt(76) + sqrt(76) + 1 - 4*(sqrt(76) - (3 + sqrt(76))))**2.
-104*sqrt(19) + 473
Simplify (4 + (3*sqrt(80))**2)*1 + (-2 + (sqrt(80) + 1)**2 + sqrt(80) - ((sqrt(80) - (-2 + sqrt(80))**2) + 0 + sqrt(80))).
-12*sqrt(5) + 887
Simplify 0 + (sqrt(40)/(sqrt(80) - sqrt(5)))/(sqrt(32)/(sqrt(24)/sqrt(3)))*-3.
-sqrt(2)
Simplify ((-1 + sqrt(2))*2 - sqrt(40)/sqrt(5))**2 + (-1*sqrt(24)/sqrt(3))/(sqrt(324) - sqrt(36) - sqrt(4)).
-sqrt(2)/5 + 4
Simplify (0 + (sqrt(325) + 2)*-6 + -1)**2.
780*sqrt(13) + 11869
Simplify ((sqrt(960) + sqrt(60))/sqrt(10) - (sqrt(12) - sqrt(12)*-2)/sqrt(2))/(sqrt(24)/(-5*sqrt(192))) + -4.
-40*sqrt(3) - 4
Simplify (sqrt(1500) - -5*(sqrt(1500) - -2*sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) t (b) m (c) 2
b
Let q be (1 - -3)/(3 - 5). Let j be q/(-4) - 30/140. Let c = -0.6 + 0.2. What is the closest to j in -0.5, -3/2, c?
c
Let h = 17 + -16.8. Which is the closest to h? (a) 4 (b) -1/10 (c) -1/9
b
Let w = -3 - -2.5. Let d be (-1)/(-1*(-2)/(-14)). Suppose -d*k + 12 = -4*k. Which is the closest to 0? (a) k (b) w (c) 2/3
b
Let k(z) = -2*z + 14. Let r be k(6). Which is the closest to -2/5? (a) r (b) 0.1 (c) 0
c
Let i be (2/(-10))/((-3)/(1 - 4)). Let r be (-1 - 0) + (-22)/(-14). Which is the closest to i? (a) 1/3 (b) r (c) -3
a
Let v = -19/4 - -5. Which is the closest to 1? (a) v (b) -1/6 (c) 0.4
c
Let f = 3.6 + 0.4. What is the closest to 1 in 2/9, f, -0.4?
2/9
Let n = -6 + 10. Let w = -5 + n. Which is the closest to 1/3? (a) -0.4 (b) 1/2 (c) w
b
Let w be (-5)/((-15)/(-9))*-5. Let v(f) = f - 14. Let k be v(w). What is the closest to -1 in -0.3, 3/5, k?
-0.3
Let g(v) = v - 4. Let y be 3 + 1*(-2 - -4). Let p be g(y). Let o be 2/(1/p)*1. What is the closest to 1/3 in 0.3, o, -4?
0.3
Let j = -0.2 - -0.4. Let y = -19.1 + 19. Which is the closest to y? (a) j (b) 1/8 (c) 5
b
Let p be (0 - -1) + 12/3. Let g = 2 - 6.7. Let n = 5 + g. What is the closest to 1 in n, -2, p?
n
Let z = -73 - -72.9. Which is the nearest to z? (a) -3 (b) -0.5 (c) -5
b
Let p = 20.4 - 20. What is the closest to 1/5 in 3, p, 3/8?
3/8
Let l be (0 - -3 - 0)/((-9)/(-15)). Which is the nearest to 1? (a) -0.01 (b) l (c) -1/3
a
Let w = -2.18 - -0.18. What is the nearest to 0 in 0.3, w, -2/9?
-2/9
Suppose 3*q - 1 + 10 = v, 0 = -v - 3*q - 9. Suppose 5*z = -v - 5. What is the nearest to -2/5 in -2/9, -4, z?
-2/9
Let u be 14/(-48) - (-4)/32. Which is the closest to -0.2? (a) 0.1 (b) u (c) -4
b
Let u = 1.96 - -0.04. Let y be -1*2 - (3 - 9). What is the nearest to -2 in u, y, 0.3?
0.3
Let v = 307.6 - 262. Let g = v - 52. Let k = 6 + g. What is the nearest to -0.1 in -5, k, 0?
0
Let n = 9.87 - 9.9. What is the closest to 1 in 1, n, -1?
1
Let o = -0.511 + 0.051. Let g = 3.14 - o. Let u = g - 4. What is the nearest to -2 in 1/2, u, 0.2?
u
Let w = 0.1 + -0.1. Let j be (-2)/(-4)*30/(-9). Let i = -7 - -6. Which is the closest to i? (a) j (b) w (c) -4
a
Let u be (-142)/602 + (-4)/(-14). Let m = 4/43 + u. What is the closest to 1 in -4, -2, m?
m
Let q = 20 + -17. What is the closest to q in 1, -0.5, 3?
3
Let f = 44486 - 312629/7. Let c = -175 - f. What is the closest to -3 in 5/4, -2, c?
-2
Let o = 12.93 - 13. Let h = -0.93 + o. What is the closest to h in -3, -0.4, -3/4?
-3/4
Suppose -5*j + i = 160, -3*i + 150 = -9*j + 4*j. Let s = j + 98/3. Which is the closest to 1? (a) -0.4 (b) 0 (c) s
b
Let l = 21 - 26. Which is the closest to 0.6? (a) -0.1 (b) l (c) -2
a
Let l be 148/(-28) - 2/(-7). Let b be (120/(-27))/l + -1. Let c = 13/9 + b. What is the nearest to 0.1 in c, 4, 2/5?
2/5
Suppose -5 = -2*p + 3*w, -4 = 4*w - 0. Suppose 3*q - p - 2 = 0. Which is the closest to q? (a) -0.4 (b) 2 (c) -5
b
Let i = 0.57 - -2.43. Which is the nearest to 0.3? (a) i (b) -5 (c) -0.2
c
Let m = -0.9 + 1.3. What is the nearest to 0.2 in 0.5, 3, m?
m
Suppose 19*y = 13*y - 18. What is the closest to -7 in 5/2, y, 5?
y
Let f = -9.9 + 0.9. Let z = -14 - f. What is the nearest to -1 in 2, 0.1, z?
0.1
Let j = 14/9 + -4/3. Which is the closest to -0.1? (a) 1/8 (b) 2/13 (c) j
a
Let c = -0.8 + 0.8. What is the closest to 2 in 0.4, c, 1?
1
Let v = -2.9 - -2.95. What is the nearest to v in 1/2, -0.1, 3?
-0.1
Let v be 2 + 1 + 54/(-15). Suppose 2*g = 4*g + 2. Let x be 1 + (-2)/(-8)*-7. What is the nearest to g in v, 0, x?
x
Let s(f) = f + 8. Let y be s(-4). Let q = 1.01 - 0.91. Which is the nearest to -1? (a) 5 (b) y (c) q
c
Let n(f) = -2*f + 3. Let t be n(2). Let p = 33.17 - 28.3. Let j = p - -0.13. Which is the nearest to t? (a) j (b) -0.3 (c) -2
b
Let d = 0.01 + -3.01. Which is the closest to 0.1? (a) 0.5 (b) -1/2 (c) d
a
Let p = 1 - -9. Let u = 9 - p. Let n(y) = -y**3 + 6*y**2 - 6*y + 4. Let f be n(5). Which is the closest to u? (a) -0.4 (b) f (c) 2/7
b
Let t = -89 - -61. Let i be (24/(-18))/(t/6).
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest integer?
4
What is 42073 to the power of 1/2, to the nearest integer?
205
What is 313 to the power of 1/7, to the nearest integer?
2
What is the fourth root of 396 to the nearest integer?
4
What is 4199 to the power of 1/4, to the nearest integer?
8
What is the seventh root of 1745 to the nearest integer?
3
What is the third root of 702 to the nearest integer?
9
What is the sixth root of 4228 to the nearest integer?
4
What is the third root of 54 to the nearest integer?
4
What is the cube root of 12639 to the nearest integer?
23
What is 36 to the power of 1/3, to the nearest integer?
3
What is 17116 to the power of 1/3, to the nearest integer?
26
What is 36562 to the power of 1/10, to the nearest integer?
3
What is the fourth root of 1884 to the nearest integer?
7
What is 3518 to the power of 1/3, to the nearest integer?
15
What is the seventh root of 10418 to the nearest integer?
4
What is 16037 to the power of 1/2, to the nearest integer?
127
What is 165582 to the power of 1/3, to the nearest integer?
55
What is 85338 to the power of 1/9, to the nearest integer?
4
What is 7983 to the power of 1/10, to the nearest integer?
2
What is the seventh root of 2034 to the nearest integer?
3
What is 4127 to the power of 1/2, to the nearest integer?
64
What is the cube root of 110324 to the nearest integer?
48
What is 45 to the power of 1/2, to the nearest integer?
7
What is the cube root of 17288 to the nearest integer?
26
What is the third root of 1100 to the nearest integer?
10
What is 25353 to the power of 1/7, to the nearest integer?
4
What is 8144 to the power of 1/8, to the nearest integer?
3
What is the cube root of 55070 to the nearest integer?
38
What is 4145 to the power of 1/4, to the nearest integer?
8
What is the eighth root of 2762 to the nearest integer?
3
What is 22185 to the power of 1/7, to the nearest integer?
4
What is the third root of 559 to the nearest integer?
8
What is 1802 to the power of 1/2, to the nearest integer?
42
What is the cube root of 12049 to the nearest integer?
23
What is the ninth root of 2742 to the nearest integer?
2
What is the cube root of 3543 to the nearest integer?
15
What is the third root of 142485 to the nearest integer?
52
What is the square root of 2483 to the nearest integer?
50
What is 1395 to the power of 1/3, to the nearest integer?
11
What is 335 to the power of 1/3, to the nearest integer?
7
What is the cube root of 18423 to the nearest integer?
26
What is 779 to the power of 1/3, to the nearest integer?
9
What is 142 to the power of 1/3, to the nearest integer?
5
What is the square root of 14654 to the nearest integer?
121
What is 1075 to the power of 1/2, to the nearest integer?
33
What is the fifth root of 25503 to the nearest integer?
8
What is the cube root of 1876 to the nearest integer?
12
What is the eighth root of 62563 to the nearest integer?
4
What is 1666 to the power of 1/5, to the nearest integer?
4
What is 20221 to the power of 1/3, to the nearest integer?
27
What is 552 to the power of 1/10, to the nearest integer?
2
What is the square root of 2075 to the nearest integer?
46
What is 6536 to the power of 1/6, to the nearest integer?
4
What is 16191 to the power of 1/2, to the nearest integer?
127
What is 4650 to the power of 1/5, to the nearest integer?
5
What is the fifth root of 506 to the nearest integer?
3
What is 24771 to the power of 1/7, to the nearest integer?
4
What is the third root of 26263 to the nearest integer?
30
What is the seventh root of 167 to the nearest integer?
2
What is 42601 to the power of 1/5, to the nearest integer?
8
What is 835 to the power of 1/2, to the nearest integer?
29
What is the third root of 46287 to the nearest integer?
36
What is the cube root of 313 to the nearest integer?
7
What is the square root of 39200 to the nearest integer?
198
What is 40704 to the power of 1/2, to the nearest integer?
202
What is the square root of 8128 to the nearest integer?
90
What is 24 to the power of 1/2, to the nearest integer?
5
What is the third root of 121150 to the nearest integer?
49
What is the square root of 1453 to the nearest integer?
38
What is the square root of 62983 to the nearest integer?
251
What is the third root of 167605 to the nearest integer?
55
What is 107983 to the power of 1/8, to the nearest integer?
4
What is 37327 to the power of 1/2, to the nearest integer?
193
What is the eighth root of 9837 to the nearest integer?
3
What is 112 to the power of 1/2, to the nearest integer?
11
What is the fifth root of 1166 to the nearest integer?
4
What is 970 to the power of 1/6, to the nearest integer?
3
What is the cube root of 2524 to the nearest integer?
14
What is 1270 to the power of 1/5, to the nearest integer?
4
What is the third root of 10896 to the nearest integer?
22
What is 1698 to the power of 1/5, to the nearest integer?
4
What is the cube root of 21993 to the nearest integer?
28
What is 250 to the power of 1/3, to the nearest integer?
6
What is the ninth root of 4415 to the nearest integer?
3
What is 10998 to the power of 1/3, to the nearest integer?
22
What is the cube root of 2980 to the nearest integer?
14
What is 58363 to the power of 1/3, to the nearest integer?
39
What is the square root of 3723 to the nearest integer?
61
What is 72952 to the power of 1/2, to the nearest integer?
270
What is the third root of 37 to the nearest integer?
3
What is the tenth root of 41231 to the nearest integer?
3
What is the square root of 9250 to the nearest integer?
96
What is the cube root of 11554 to the nearest integer?
23
What is 23142 to the power of 1/2, to the nearest integer?
152
What is 37130 to the power of 1/3, to the nearest integer?
33
What is the cube root of 2159 to the nearest integer?
13
What is the fourth root of 18709 to the nearest integer?
12
What is 32215 to the power of 1/3, to the nearest integer?
32
What is 2226 to the power of 1/7, to the nearest integer?
3
What is the square root of 59150 to the nearest integer?
243
What is 452 to the power of 1/9, to the nearest integer?
2
What is the square root of 2860 to the nearest integer?
53
What is the third root of 124407 to the nearest integer?
50
What is the square root of 1307 to the nearest integer?
36
What is the eighth root of 14840 to the nearest integer?
3
What is 859 to the power of 1/2, to the nearest integer?
29
What is the square root of 12215 to the nearest integer?
111
What is the sixth root of 514 to the nearest integer?
3
What is the third root of 619 to the nearest integer?
9
What is 6763 to the power of 1/2, to the nearest integer?
82
What is the sixth root of 27621 to the nearest integer?
5
What is the tenth root of 87849 to the nearest integer?
3
What is the square root of 12836 to the nearest integer?
113
What is 104276 to the power of 1/10, to the nearest integer?
3
What is 2862 to the power of 1/10, to the nearest integer?
2
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
the first derivative of 893307228*w**2 + 649955298?
1786614456*w
Find the third derivative of 6414*q**4 + 328*q**3*z + 79748*q**2*z + z + 373 wrt q.
153936*q + 1968*z
What is the first derivative of -2178506*a**2 + 12*a + 272929786?
-4357012*a + 12
Find the second derivative of -69*a**5 + 714778*a**4 + 509253515*a.
-1380*a**3 + 8577336*a**2
What is the second derivative of -28421167*j**3 - 42*j + 77785?
-170527002*j
Find the third derivative of 105843622*l**6 - 10*l**2 + 4556602*l wrt l.
12701234640*l**3
Find the second derivative of 5*v**2*x*z + 5*v**2*z**3 - 204550*v**2*z - 105*v*x - 40059*v*z**3 wrt v.
10*x*z + 10*z**3 - 409100*z
What is the third derivative of 104371164*a**5 + 3*a**2 - 386778*a - 1 wrt a?
6262269840*a**2
What is the third derivative of 54909694*x**3 - 172*x**2 + 24920*x wrt x?
329458164
What is the second derivative of 278685*c**5*n**2 - 823*c**5 + 2*c*n**2 + 9*c*n - 38*n**2 + 118*n - 6 wrt c?
5573700*c**3*n**2 - 16460*c**3
Find the first derivative of -8*p**3 + 97943*p - 2716257 wrt p.
-24*p**2 + 97943
Find the second derivative of 8259717*j**4 + 2028418*j.
99116604*j**2
Find the first derivative of 1976630*o**3 + 65237952.
5929890*o**2
What is the first derivative of 16168517*a**4 - 67400101?
64674068*a**3
What is the derivative of -4783*v**3 - 94*v**2*z + 162*v*z - z - 76641086 wrt v?
-14349*v**2 - 188*v*z + 162*z
Find the first derivative of 197347180*u + 675080369.
197347180
Find the first derivative of 22512324*j**2 + 26493646 wrt j.
45024648*j
What is the third derivative of -198672431*n**3 - 340078756*n**2 wrt n?
-1192034586
What is the second derivative of -14436773*m**3 - 13590548*m?
-86620638*m
What is the first derivative of -958940*f*o - 6*f - 20*o - 201152 wrt f?
-958940*o - 6
Find the third derivative of 120952786*c**4 - 2943*c**2 + 13764*c.
2902866864*c
What is the third derivative of -s**5 + 4629*s**4 - 3748*s**3 - 2595*s**2 - 2114*s - 24?
-60*s**2 + 111096*s - 22488
Find the first derivative of -43771965*k + 185743140.
-43771965
Find the third derivative of n**3*v + 25079203*n**3 + n**2*v + 7*n**2 - n*v + 3262*n + 4*v + 1 wrt n.
6*v + 150475218
Find the first derivative of -3*f**4 + 35778*f**2 + 7*f + 13413170 wrt f.
-12*f**3 + 71556*f + 7
What is the first derivative of -18010391*y**2 - 143886545?
-36020782*y
Find the third derivative of -91629089*l**3*p**2 - 2*l**2*p**2 - 367*l**2*p - 103*l**2 - 2*p**2 + 61 wrt l.
-549774534*p**2
What is the third derivative of -3663169*g**3*y**3 + 3*g**3*y**2 - 1210365*g**2*y**3 - g**2*y - y**3 - 2*y wrt g?
-21979014*y**3 + 18*y**2
Find the second derivative of -164318437*g**2 - 7514586*g - 1.
-328636874
Find the second derivative of 2081*j**3*r - 4*j**3 + 5*j**2*r + 3*j**2 + 2*j*r - 1674930*j wrt j.
12486*j*r - 24*j + 10*r + 6
What is the second derivative of 398*i**3*t - 3*i**3 - 2*i**2*t - 593*i**2 + 2519*i*t - 5489*t wrt i?
2388*i*t - 18*i - 4*t - 1186
What is the third derivative of 1467585*q**4 + 6606738*q**2?
35222040*q
What is the third derivative of -14178258*g**6 - 13*g**3 + 3*g**2 - 13545528*g wrt g?
-1701390960*g**3 - 78
Find the first derivative of 69154*x**2 + 6*x + 24548865 wrt x.
138308*x + 6
Find the second derivative of -115*d**2*t**2 + 79*d**2*t - d**2 - 2*d*t**2 + 516*d*t - 13*d - 879*t**2 + 5*t - 2 wrt t.
-230*d**2 - 4*d - 1758
What is the first derivative of -229*j**4 - j**3 + 45*j**2 - 6*j + 294751?
-916*j**3 - 3*j**2 + 90*j - 6
Find the second derivative of -73031*p**4 + 215*p**3 + 10433*p - 536.
-876372*p**2 + 1290*p
Find the third derivative of 28242*a*b**3*n - 220838*a*b**2 + a*b*n + 18*a*n - 207*b**3*n wrt b.
169452*a*n - 1242*n
What is the second derivative of 385980*i**4 + 17*i**2 - 71316759*i?
4631760*i**2 + 34
What is the first derivative of -7128997*y - 14523530?
-7128997
Find the second derivative of -12018022*v*w**2 + 8054577*v*w - w wrt w.
-24036044*v
What is the derivative of 41*l*n**3 + 34*l*n**2*p + 5841*l*n*p + 11559*n**3 - 664*n - p wrt l?
41*n**3 + 34*n**2*p + 5841*n*p
What is the third derivative of -3108*k**4 - 275*k**3 - 23777279*k**2?
-74592*k - 1650
Find the second derivative of -153845*p**2*v**2 - 11*p**2*v + 2*p**2 + 4*p*v**2 - p*v - 599*v**2 - 2*v - 1 wrt p.
-307690*v**2 - 22*v + 4
Differentiate 43509268*k - 14783057 with respect to k.
43509268
What is the third derivative of -10807364*b**3 - 355364*b**2 - 23*b wrt b?
-64844184
What is the third derivative of 5*k**4 - 192946*k**3*t + k**3 + 3*k**2*t - k**2 + 48*k*t + 300*t - 8 wrt k?
120*k - 1157676*t + 6
What is the third derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
-3, 2
Determine d, given that -5*d**3 + 23285*d**2 - 26092855*d - 2389197425 = 0.
-85, 2371
Let -3*b**2 + 122025*b - 976008 = 0. Calculate b.
8, 40667
What is o in -6*o**4/5 + 70*o**3 + 2576*o**2/5 + 312*o = 0?
-6, -2/3, 0, 65
Suppose -3*f**5/2 + 2935*f**4/4 + 5403*f**3/4 - 491*f**2/2 = 0. What is f?
-2, 0, 1/6, 491
Factor b**2/8 - 701*b/8 + 5985/2.
(b - 665)*(b - 36)/8
Suppose l**4/2 + 4197*l**3/2 + 41895*l**2/2 + 104675*l/2 = 0. What is l?
-4187, -5, 0
Let 7*u**3/6 + 101*u**2/3 - 953*u/6 + 22 = 0. Calculate u.
-33, 1/7, 4
Factor 208*r**2/7 - 619*r/7 - 15/7.
(r - 3)*(208*r + 5)/7
Determine j so that -2*j**4 - 58*j**3 - 570*j**2 - 2134*j - 2420 = 0.
-11, -5, -2
Factor 2*s**2 - 164426*s + 164424.
2*(s - 82212)*(s - 1)
Determine d so that 3*d**3/4 - 135*d**2/4 + 312*d - 495 = 0.
2, 10, 33
Find l, given that -5*l**3 - 520*l**2 + 19380*l - 96480 = 0.
-134, 6, 24
Solve 47*o**4 - 378*o**3 + 533*o**2 + 918*o - 40 = 0 for o.
-1, 2/47, 4, 5
Find b such that b**3/6 + 10*b**2/3 + 127*b/6 + 42 = 0.
-9, -7, -4
Let -2*k**5 + 968*k**4/3 + 562*k**3 - 9136*k**2/3 + 424*k + 5216/3 = 0. What is k?
-4, -2/3, 1, 2, 163
Factor 2*b**3/7 - 8098*b**2/7 - 640770*b/7 - 12554334/7.
2*(b - 4127)*(b + 39)**2/7
Let -u**2 + 107126*u - 2868994969 = 0. What is u?
53563
What is y in 3*y**5/8 - 117*y**4/4 + 1005*y**3/2 + 7245*y**2/4 - 4023*y/8 - 1782 = 0?
-3, -1, 1, 33, 48
Determine u so that -787*u**3/4 + 1545*u**2/2 - 729*u - 58 = 0.
-58/787, 2
Find o, given that o**4/3 + 237968*o**3/3 + 14156478334*o**2/3 - 28315098416*o + 42473718507 = 0.
-118987, 3
Determine j so that -3*j**4 + 2406*j**3 - 462408*j**2 - 8169366*j + 28605051 = 0.
-19, 3, 409
Let -2*l**3/3 + 560*l**2/9 + 17750*l/9 = 0. Calculate l.
-25, 0, 355/3
Find z such that 4*z**4 + 48*z**3 - 1780*z**2 - 5664*z + 158400 = 0.
-25, -11, 12
Factor -2*j**4 + 30*j**3 + 4512*j**2 + 4480*j.
-2*j*(j - 56)*(j + 1)*(j + 40)
Factor -2*j**3 - 934*j**2 + 1876*j.
-2*j*(j - 2)*(j + 469)
Factor -25*h**4 - 22960*h**3 - 5230126*h**2 + 19052208*h - 17214201.
-(h + 461)**2*(5*h - 9)**2
Solve 13*x**5 + 51*x**4 + 36*x**3 = 0.
-3, -12/13, 0
Find y, given that -3*y**2 - 15981*y + 79980 = 0.
-5332, 5
What is p in -3*p**4 - 939*p**3 + 11667*p**2 - 10725*p = 0?
-325, 0, 1, 11
Determine c, given that 3*c**3 - 209*c**2 - 11518*c - 3816 = 0.
-36, -1/3, 106
Factor -2*d**5/13 + 42*d**4/13 + 44*d**3/13.
-2*d**3*(d - 22)*(d + 1)/13
Suppose -3*k**3/5 - 13686*k**2 + 3*k/5 + 13686 = 0. Calculate k.
-22810, -1, 1
Factor u**4 + 3*u**3 - 28*u**2 - 60*u.
u*(u - 5)*(u + 2)*(u + 6)
Factor -3*g**3/8 - 1773*g**2/8 + 5397*g/4 + 3582.
-3*(g - 8)*(g + 2)*(g + 597)/8
Let -6*z**5 + 7376*z**4/3 - 747232*z**3/3 - 584480*z**2 + 5758112*z/3 + 1357952/3 = 0. Calculate z.
-4, -2/9, 2, 206
Suppose -81*u**4/5 + 4941*u**3 - 2025189*u**2/5 + 64881483*u/5 - 727675542/5 = 0. What is u?
107/3, 198
Suppose -3*r**4 + 426*r**3 - 19968*r**2 + 308256*r = 0. What is r?
0, 38, 52
Find g such that 2*g**2 - 1972*g + 376586 = 0.
259, 727
Let -n**4/3 - 532*n**3/3 - 530*n**2/3 + 532*n/3 + 177 = 0. Calculate n.
-531, -1, 1
Find g, given that 2*g**4 - 346*g**3/3 + 644*g**2/9 + 2264*g/9 + 304/3 = 0.
-2/3, 2, 57
Factor -5*x**2 + 310*x - 3825.
-5*(x - 45)*(x - 17)
What is x in -2*x**3/5 - 16*x**2 - 718*x/5 + 160 = 0?
-25, -16, 1
Factor -13*n**3/10 - 82107*n**2/5 - 259284432*n/5 + 39891856/5.
-(n + 6316)**2*(13*n - 2)/10
Factor 5*z**2 - 1815*z + 5400.
5*(z - 360)*(z - 3)
Suppose j**4/4 - 2247*j**3/2 - 3372*j**2 - 6745*j/2 - 4497/4 = 0. Calculate j.
-1, 4497
Factor -2*u**3/5 + 66*u**2/5 - 108*u.
-2*u*(u - 18)*(u - 15)/5
Determine g so that 50*g**4 - 4440*g**3 + 131424*g**2 - 6483584*g/5 = 0.
0, 148/5
Let 2*l**5/7 - 18390*l**4/7 + 6043084*l**3 - 126776064*l**2/7 + 84492864*l/7 = 0. What is l?
0, 1, 2, 4596
Let 4*q**
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the second smallest value? (a) 1 (b) 0.211 (c) 1051/124
a
Which is the third smallest value? (a) -687 (b) 0.6 (c) -0.15 (d) 2/9 (e) 1 (f) -0.4
c
What is the smallest value in 1/6, 1/53, -5, -17, -14?
-17
What is the smallest value in 6.2, 24, -315, 0.2?
-315
What is the third smallest value in -31.3, 2, 5, 2/15, -0.3, -2, -1?
-1
What is the third biggest value in 4/3, 1830, 8?
4/3
What is the second smallest value in 4, -0.55, -939, -1/4, 23?
-0.55
What is the second biggest value in 2, -1256, 0.074, 0?
0.074
Which is the fourth smallest value? (a) 5/4 (b) 5/16 (c) -3 (d) 11.244
d
Which is the fifth smallest value? (a) -4.3 (b) 4 (c) 15 (d) -2/41 (e) -2 (f) -9
b
What is the third smallest value in 6/13, 0.362, 5, 0.3, 902?
6/13
What is the biggest value in 863, -0.259298, 0.5?
863
Which is the third smallest value? (a) -18 (b) -585873 (c) -4
c
Which is the third biggest value? (a) -0.5 (b) 0.7 (c) 4 (d) -8 (e) -0.07 (f) -139
e
Which is the smallest value? (a) -0.2 (b) 1/4 (c) 2/2365 (d) -58
d
What is the third biggest value in 408, 0.4, -4221?
-4221
Which is the fourth smallest value? (a) -30.1 (b) -0.4 (c) 4 (d) -28.54 (e) 0.04
e
Which is the second biggest value? (a) 4973 (b) 5 (c) -18.2 (d) -1
b
Which is the second smallest value? (a) -3/373709 (b) -0.2 (c) 4 (d) 0
a
What is the biggest value in -0.24, 2, 123677?
123677
Which is the smallest value? (a) -2/11 (b) 5 (c) 0.19 (d) -3 (e) -15/29 (f) 1/3 (g) 0.8
d
Which is the fifth smallest value? (a) -13.93 (b) 126 (c) 0.5 (d) -4 (e) -0.2
b
Which is the third smallest value? (a) 8751 (b) 36 (c) 0.07
a
Which is the third biggest value? (a) -5/21 (b) 165 (c) 76.4 (d) 5
d
What is the third biggest value in -3, 28, -0.5, 6.2, -8, 0.335?
0.335
Which is the third smallest value? (a) 31/10 (b) -0.4 (c) -490
a
Which is the fourth smallest value? (a) -1/3 (b) -4/385 (c) -8/3 (d) 0 (e) 0.5 (f) 0.3 (g) 0.031
d
Which is the second smallest value? (a) -288 (b) 18.27 (c) -0.2
c
Which is the second smallest value? (a) 0.08 (b) 3805 (c) 2/1035
a
What is the smallest value in 9, -2, 3, -1838151?
-1838151
What is the biggest value in 1/7, -0.084, -14, 144, 88/5?
144
What is the fourth biggest value in 0.3, -1/33, 0.4, 3, 1/2, -5/33?
0.3
Which is the third biggest value? (a) 4 (b) -0.339 (c) -40 (d) -13 (e) -0.1 (f) 0.8 (g) -5
e
What is the fifth biggest value in -2, -3, 20/11, 1, -31, 0?
-3
What is the smallest value in 1, 11/2, 158/3, -6/877?
-6/877
Which is the second smallest value? (a) 46 (b) -2 (c) -5 (d) 0 (e) 2/5 (f) 0.1827
b
What is the second smallest value in 1821, -0.3, 780?
780
Which is the seventh biggest value? (a) 0 (b) -2/3 (c) -13/3 (d) -10 (e) -0.145 (f) 1 (g) 0.5
d
What is the second smallest value in -208/7, 13/3, -1875, -1?
-208/7
What is the fourth smallest value in -1.6, 0.3, -0.4, -9561, -7?
-0.4
Which is the third biggest value? (a) 5 (b) 1/79 (c) -83 (d) -70 (e) -0.1 (f) -0.3 (g) 3/7
b
Which is the fourth smallest value? (a) 0.05 (b) -0.3 (c) -227 (d) 2/13 (e) 0.3 (f) -1.7
a
Which is the second smallest value? (a) 65 (b) -11 (c) 0.048 (d) -1/3 (e) -4/5 (f) 344
e
Which is the second biggest value? (a) 35536930 (b) 0 (c) -0.2
b
Which is the third biggest value? (a) -2.479 (b) 11 (c) -0.026
a
Which is the third smallest value? (a) 61 (b) 3/4085 (c) -0.5 (d) -1/3
b
What is the biggest value in -1/12792, -7, 0.5, -76/7?
0.5
What is the fourth biggest value in 21, 0.06, -3/7, 4, 0, -2, 3.75?
0.06
What is the sixth smallest value in -11, 6, -16, 3, 2.5, -4?
6
Which is the seventh biggest value? (a) 11 (b) -13 (c) -1/3 (d) -0.7 (e) -0.2 (f) -6 (g) -3
b
Which is the biggest value? (a) 1/4 (b) 20/177 (c) 7/384 (d) -9
a
Which is the third smallest value? (a) -3/5 (b) -5 (c) 4 (d) -1/4 (e) -2 (f) -1922 (g) 18/7
e
What is the biggest value in -2/13, 0.06, -764, -48?
0.06
Which is the second smallest value? (a) -37 (b) 0.5 (c) 2 (d) -7 (e) -28 (f) -2/21
e
Which is the sixth smallest value? (a) 13 (b) 0.3 (c) -0.31 (d) 0.4 (e) -4 (f) 4 (g) -44
f
Which is the fifth smallest value? (a) 156/79 (b) 2 (c) -15 (
|
{
"pile_set_name": "DM Mathematics"
}
|
in -387, -386, -385, -384, -383, -382?
-381
What is the next term in -4, -9, -26, -61, -120, -209?
-334
What is the next term in -126, -128, -130, -132, -134, -136?
-138
What is the next term in -35, -25, 9, 79, 197?
375
What is the next term in 19, 43, 65, 85, 103?
119
What is next in -8, 38, 124, 256, 440?
682
What is the next term in -15, -54, -81, -90, -75, -30, 51, 174?
345
What comes next: -217, -219, -221, -223, -225?
-227
What is next in -96, -123, -138, -135, -108, -51, 42?
177
What is the next term in -22544, -45092, -67650, -90224, -112820, -135444, -158102?
-180800
What comes next: 81, 78, 73, 66?
57
What comes next: 159, 626, 1405, 2496?
3899
What is next in -1395, -2791, -4187, -5583, -6979?
-8375
What is the next term in 136, 287, 456, 649, 872?
1131
What is the next term in 473, 462, 455, 452?
453
What is the next term in 534, 1087, 1640, 2193, 2746?
3299
What comes next: 6735, 6732, 6729, 6726?
6723
What is next in 42, 169, 380, 675, 1054, 1517, 2064?
2695
What comes next: 55, 48, 41?
34
What is next in -576, -1152, -1728, -2304, -2880, -3456?
-4032
What comes next: -7, 16, 55, 110?
181
What is the next term in -11, -55, -129, -233?
-367
What is next in -13, -92, -225, -412, -653?
-948
What is next in -33, -53, -71, -87?
-101
What is next in 19164, 19163, 19162, 19161, 19160, 19159?
19158
What is the next term in -2971, -2970, -2969, -2968, -2967, -2966?
-2965
What is next in -70, -222, -480, -850, -1338, -1950, -2692?
-3570
What is the next term in 8, 15, 12, -7, -48, -117?
-220
What is the next term in 41, 63, 81, 95, 105, 111?
113
What is the next term in 63, 64, 75, 102, 151?
228
What is next in -19, -18, -15, -10, -3, 6, 17?
30
What comes next: 15, 101, 323, 747, 1439, 2465?
3891
What comes next: -105, -200, -295, -390, -485?
-580
What is the next term in -161, -328, -499, -674, -853?
-1036
What is next in 16, 36, 54, 70, 84, 96?
106
What comes next: 141, 283, 425, 567, 709, 851?
993
What is next in -2424, -2424, -2422, -2418, -2412, -2404, -2394?
-2382
What is next in 4, -5, -30, -71, -128, -201?
-290
What comes next: 217, 444, 671, 898, 1125, 1352?
1579
What comes next: 366, 371, 388, 423, 482, 571?
696
What is the next term in -143, -282, -417, -548?
-675
What is next in 38, 68, 98, 128?
158
What is the next term in -4291, -8585, -12883, -17185, -21491?
-25801
What is next in 16, 5, -16, -53, -112, -199, -320?
-481
What comes next: 34, 20, -4, -38, -82, -136, -200?
-274
What comes next: 114, 111, 106, 99?
90
What comes next: -129, -262, -387, -498, -589, -654, -687, -682?
-633
What is next in -1417, -1423, -1429, -1435, -1441?
-1447
What comes next: -98, -102, -106, -110?
-114
What is next in -29, -61, -93, -125?
-157
What is the next term in 59, 74, 85, 92, 95, 94, 89?
80
What comes next: 749, 748, 737, 710, 661, 584, 473, 322?
125
What is the next term in -16220, -16215, -16206, -16193?
-16176
What is the next term in 62, 65, 72, 83, 98, 117?
140
What is next in -1055, -1062, -1081, -1118, -1179, -1270, -1397?
-1566
What is next in -31, -217, -717, -1687, -3283?
-5661
What comes next: 759, 745, 723, 693, 655, 609, 555?
493
What is the next term in 688, 698, 730, 796, 908, 1078, 1318, 1640?
2056
What comes next: 88, 122, 180, 262, 368?
498
What is next in 21, -20, -59, -96, -131, -164?
-195
What is next in -182, -180, -178?
-176
What is the next term in 5, 9, 29, 71, 141, 245, 389, 579?
821
What is the next term in 131, 140, 153, 170, 191, 216?
245
What is the next term in -80, -70, -60, -50, -40, -30?
-20
What comes next: 72, 79, 86, 93, 100, 107?
114
What is next in -1760, -1755, -1748, -1739, -1728, -1715, -1700?
-1683
What is next in -171, -182, -197, -216, -239, -266, -297?
-332
What is next in 3377, 13503, 30379, 54005?
84381
What comes next: -1013, -1010, -1007, -1004, -1001?
-998
What is the next term in 12, 26, 44, 66, 92, 122, 156?
194
What comes next: 2, 5, 26, 77, 170, 317?
530
What comes next: 350, 1372, 3072, 5444, 8482, 12180, 16532?
21532
What is the next term in 35, 92, 163, 230, 275?
280
What is next in -1080, -2162, -3244?
-4326
What comes next: 566, 1132, 1700, 2270, 2842?
3416
What is the next term in -92, -119, -144, -167, -188?
-207
What comes next: -1976, -3922, -5856, -7772, -9664, -11526, -13352?
-15136
What comes next: 50, 51, 48, 35, 6, -45?
-124
What is the next term in 12, 16, 16, 12, 4, -8?
-24
What is next in 5, 2, 1, 2, 5, 10, 17?
26
What is next in 1336, 1334, 1322, 1294, 1244, 1166, 1054?
902
What is next in -150, -146, -138, -126, -110?
-90
What comes next: -32819, -32820, -32821, -32822, -32823?
-32824
What comes next: -20, -45, -68, -89, -108, -125?
-140
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
Does 479 divide 160989?
False
Does 9 divide 913086?
True
Is 3500637 a multiple of 12?
False
Is 23039595 a multiple of 23?
False
Is 700870 a multiple of 35?
False
Is 89 a factor of 1908856?
False
Does 148 divide 3558068?
True
Is 2328225 a multiple of 25?
True
Does 35 divide 4633756?
False
Does 126 divide 5845014?
True
Does 49 divide 973932?
False
Is 481 a factor of 590234?
False
Does 2 divide 684222?
True
Is 107242 a multiple of 43?
True
Is 2317200 a multiple of 12?
True
Is 490 a factor of 539490?
True
Is 61 a factor of 133041?
True
Does 2235 divide 6095682?
False
Does 162 divide 96973?
False
Does 121 divide 611534?
True
Is 186865 a multiple of 19?
True
Does 194 divide 291970?
True
Is 34391 a multiple of 350?
False
Is 534 a factor of 157495?
False
Is 580647 a multiple of 923?
False
Is 58 a factor of 198954?
False
Does 524 divide 101132?
True
Does 1404 divide 5616284?
False
Is 348087 a multiple of 26?
False
Is 628789 a multiple of 154?
False
Does 2 divide 878612?
True
Does 126 divide 3752406?
True
Does 108 divide 238798?
False
Is 2822038 a multiple of 79?
True
Is 5 a factor of 2208?
False
Does 63 divide 581301?
True
Is 81 a factor of 792827?
False
Is 2283 a factor of 11136474?
True
Is 7672 a multiple of 548?
True
Does 88 divide 197117?
False
Is 269880 a multiple of 130?
True
Does 75 divide 8229268?
False
Is 1951488 a multiple of 352?
True
Is 68350 a multiple of 7?
False
Is 95692 a multiple of 29?
False
Is 642475 a multiple of 829?
True
Is 13097 a multiple of 56?
False
Does 103 divide 236936?
False
Does 25 divide 4799?
False
Is 18 a factor of 204084?
True
Does 86 divide 165917?
False
Is 26 a factor of 85358?
True
Does 3 divide 12066?
True
Is 41 a factor of 12775147?
False
Is 38 a factor of 3695804?
True
Is 5543 a multiple of 3?
False
Does 389 divide 10170794?
True
Is 139 a factor of 34611?
True
Is 109296 a multiple of 23?
True
Is 38 a factor of 4652781?
False
Is 657 a factor of 254259?
True
Does 32 divide 597878?
False
Is 19 a factor of 76565?
False
Is 65064 a multiple of 8?
True
Is 530 a factor of 1122846?
False
Is 311 a factor of 2799?
True
Does 6 divide 179032?
False
Is 693638 a multiple of 3?
False
Does 959 divide 9229416?
True
Is 237538 a multiple of 47?
True
Does 149 divide 121343?
False
Is 424 a factor of 16011197?
False
Does 274 divide 697604?
True
Is 57 a factor of 446424?
True
Is 413973 a multiple of 21?
True
Is 154 a factor of 79754?
False
Is 267 a factor of 20112546?
False
Is 96 a factor of 223008?
True
Is 101479 a multiple of 19?
True
Is 20180 a multiple of 20?
True
Is 2749437 a multiple of 10?
False
Is 7 a factor of 2264269?
True
Is 34 a factor of 5722642?
True
Is 173 a factor of 24566?
True
Does 193 divide 2428326?
True
Is 139 a factor of 255132?
False
Is 15 a factor of 19357?
False
Is 427934 a multiple of 109?
True
Is 1982680 a multiple of 140?
True
Is 485488 a multiple of 16?
True
Is 239140 a multiple of 102?
False
Is 19 a factor of 7688692?
True
Does 346 divide 6647352?
True
Is 729480 a multiple of 20?
True
Is 171 a factor of 1253262?
False
Is 578430 a multiple of 15?
True
Is 956473 a multiple of 13?
False
Is 619580 a multiple of 490?
False
Is 105 a factor of 61451?
False
Is 505532 a multiple of 78?
False
Is 868 a factor of 9424788?
False
Is 355297 a multiple of 15?
False
Is 53 a factor of 1688527?
True
Is 771 a factor of 8439785?
False
Is 456 a factor of 747871?
False
Does 2 divide 2572813?
False
Is 23 a factor of 142540?
False
Does 61 divide 1315038?
True
Is 1481116 a multiple of 13?
True
Is 1313829 a multiple of 577?
True
Does 62 divide 1312793?
False
Is 3 a factor of 56878?
False
Does 104 divide 6699902?
False
Is 551 a factor of 557612?
True
Does 5 divide 9000?
True
Does 12 divide 117284?
False
Is 28 a factor of 546781?
False
Is 6659 a multiple of 3?
False
Is 23 a factor of 7009350?
False
Does 784 divide 664048?
True
Is 18 a factor of 487683?
False
Does 56 divide 7516096?
True
Is 236419 a multiple of 6?
False
Does 76 divide 4360616?
False
Is 51 a factor of 103133?
False
Is 25189444 a multiple of 14?
True
Does 16 divide 130256?
True
Is 30 a factor of 425064?
False
Does 11 divide 214060?
True
Does 33 divide 343272?
False
Does 70 divide 14280?
True
Does 153 divide 552697?
False
Does 16 divide 702525?
False
Does 310 divide 59830?
True
Does 340 divide 3346620?
True
Is 17 a factor of 3654541?
True
Does 24 divide 1577574?
False
Does 160 divide 435040?
True
Does 705 divide 3405855?
True
Does 452 divide 1083004?
False
Is 163164 a multiple of 12?
True
Does 90 divide 81810?
True
Is 6 a factor of 82812?
True
Does 41 divide 11671?
False
Is 398 a factor of 869651?
False
Is 302 a factor of 4130152?
True
Is 974 a factor of 4789089?
False
Is 247657 a multiple of 58?
False
Is 88740 a multiple of 36?
True
Is 3119618 a multiple of 738?
False
Does 17 divide 32050?
False
Is 489 a factor of 789246?
True
Does 52 divide 24752?
True
Is 6 a factor of 147073?
False
Does 17 divide 1473169?
True
Does 335 divide 1898780?
True
Is 13 a factor of 530926?
False
Is 693648 a multiple of 12?
True
Is 11069946 a multiple of 138?
True
Does 173 divide 2247055?
False
Is 88298 a multiple of 119?
True
Does 50 divide 115500?
True
Does 7 divide 58303?
True
Is 651570 a multiple of 30?
True
Is 4619 even?
False
Does 58 divide 3326184?
True
Is 183 a factor of 326788?
False
Is 1295406 a multiple of 189?
True
Is 13166307 a multiple of 2079?
True
Is 154 a factor of 144144?
True
Does 35 divide 249511?
False
Does 89 divide 883770?
True
Does 9 divide 87401?
False
Is 1485257 even?
False
Does 452 divide 28915059?
False
Does 2 divide 205?
False
Does 314 divide 1709855?
False
Is 1031 a factor of 517562?
True
Does 52 divide 27040?
True
Is 2779092 a multiple of 204?
True
Is 1379856 a multiple of 816?
True
Is 90 a factor of 353618?
False
Does 142 divide 602642?
False
Does 29 divide 106727?
False
Does 36 divide 489674?
False
Does 17 divide 2225735?
False
Does 13 divide 1907535?
False
Does
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 96413*s + 177
What is the n'th term of 578358, 1156755, 1735152, 2313549?
578397*n - 39
What is the v'th term of -8590568, -17181133, -25771698, -34362263, -42952828?
-8590565*v - 3
What is the x'th term of 1880, 3654, 5378, 7052, 8676, 10250?
-25*x**2 + 1849*x + 56
What is the r'th term of -1983793, -1983754, -1983659, -1983484, -1983205?
4*r**3 + 4*r**2 - r - 1983800
What is the j'th term of 1997, 2913, 3825, 4733, 5637, 6537?
-2*j**2 + 922*j + 1077
What is the p'th term of 185121, 370266, 555411, 740556?
185145*p - 24
What is the w'th term of -7356, -29621, -66800, -118893, -185900, -267821?
-7457*w**2 + 106*w - 5
What is the l'th term of -1000390, -1000006, -999636, -999286, -998962, -998670?
-l**3 - l**2 + 394*l - 1000782
What is the k'th term of -12631060, -25262121, -37893182?
-12631061*k + 1
What is the u'th term of -4040, -8432, -12824?
-4392*u + 352
What is the u'th term of 156463132, 156463133, 156463136, 156463141, 156463148, 156463157?
u**2 - 2*u + 156463133
What is the b'th term of 1226, 10330, 34996, 82994, 162094?
1295*b**3 + 11*b**2 + 6*b - 86
What is the x'th term of 164311582, 164311587, 164311592?
5*x + 164311577
What is the k'th term of -42417782, -42417781, -42417780?
k - 42417783
What is the u'th term of 4842, 9571, 14178, 18663?
-61*u**2 + 4912*u - 9
What is the a'th term of -2210, -2556, -3068, -3692, -4374, -5060, -5696?
9*a**3 - 137*a**2 + 2*a - 2084
What is the c'th term of 263958, 527780, 791578, 1055340, 1319054, 1582708?
-2*c**3 + 263836*c + 124
What is the d'th term of 983, -13214, -36883, -70030, -112661, -164782, -226399?
-d**3 - 4730*d**2 + 5714
What is the d'th term of -1755, -5882, -14749, -30726, -56183, -93490?
-395*d**3 - 1362*d + 2
What is the b'th term of 23979, 95941, 215879, 383793, 599683, 863549, 1175391?
23988*b**2 - 2*b - 7
What is the n'th term of -1834822, -7339285, -16513384, -29357119, -45870490, -66053497, -89906140?
-1834818*n**2 - 9*n + 5
What is the x'th term of 1242, -11107, -31688, -60501?
-4116*x**2 - x + 5359
What is the o'th term of -3816, -6909, -9744, -12315, -14616?
o**3 + 123*o**2 - 3469*o - 471
What is the a'th term of -430431, -430423, -430413, -430401, -430387, -430371?
a**2 + 5*a - 430437
What is the v'th term of 719362874, 719362876, 719362880, 719362886?
v**2 - v + 719362874
What is the t'th term of 1998231, 3996471, 5994711, 7992951, 9991191, 11989431?
1998240*t - 9
What is the h'th term of -15817811, -31635625, -47453439, -63271253, -79089067?
-15817814*h + 3
What is the j'th term of -5380578, -5380579, -5380578, -5380575, -5380570?
j**2 - 4*j - 5380575
What is the k'th term of 794984, 794949, 794914, 794879, 794844?
-35*k + 795019
What is the d'th term of -2901175, -2900992, -2900695, -2900290, -2899783, -2899180?
-d**3 + 63*d**2 + d - 2901238
What is the d'th term of 264258, 528515, 792772?
264257*d + 1
What is the d'th term of -5753845, -5753847, -5753849, -5753851, -5753853, -5753855?
-2*d - 5753843
What is the d'th term of 273, -290, -1229, -2544, -4235, -6302?
-188*d**2 + d + 460
What is the v'th term of -6219, -11073, -14561, -16683, -17439, -16829, -14853?
683*v**2 - 6903*v + 1
What is the f'th term of 97137, 194434, 291893, 389514, 487297?
81*f**2 + 97054*f + 2
What is the a'th term of -1347033, -1346905, -1346695, -1346403, -1346029, -1345573, -1345035?
41*a**2 + 5*a - 1347079
What is the b'th term of -2615045, -5230097, -7845149, -10460201, -13075253, -15690305?
-2615052*b + 7
What is the k'th term of -8366161, -33464621, -75295389, -133858465, -209153849, -301181541?
-8366154*k**2 + 2*k - 9
What is the o'th term of 230890, 231023, 231152, 231277, 231398?
-2*o**2 + 139*o + 230753
What is the l'th term of -16987, -135863, -458529, -1086877, -2122799, -3668187?
-16982*l**3 - 3*l**2 + 7*l - 9
What is the l'th term of 3243622, 3243528, 3243372, 3243154, 3242874?
-31*l**2 - l + 3243654
What is the d'th term of -177470, -709955, -1597430, -2839895, -4437350, -6389795, -8697230?
-177495*d**2 + 25
What is the l'th term of -242, -878, -1800, -3014, -4526, -6342, -8468, -10910?
-l**3 - 137*l**2 - 218*l + 114
What is the z'th term of 99725, 398961, 897709, 1595969, 2493741, 3591025, 4887821?
99756*z**2 - 32*z + 1
What is the f'th term of 22821, 32178, 41537, 50898, 60261, 69626?
f**2 + 9354*f + 13466
What is the c'th term of -63598, -63468,
|
{
"pile_set_name": "DM Mathematics"
}
|
lse
Let w be 2 + -5 + 0 + 3. Suppose f + 0*f = 1972. Is (f/8 - w)*2 prime?
False
Is (-1)/((20/18935)/(-4)) a prime number?
False
Let n(f) = -f + 9. Let c be n(-10). Suppose c*w + 6853 = 30*w. Is w composite?
True
Let t = -19 + 25. Suppose -t*o + 196 + 758 = 0. Is o a prime number?
False
Let u = 12 + -8. Suppose q + 215 = -u*q. Let g = 3 - q. Is g a composite number?
True
Suppose -11*b - 20*b = -8029. Is b a composite number?
True
Let c be ((-1)/2 + 1)/(4/(-8)). Let g(d) = -6*d**3 + 2*d**2 - 1. Is g(c) a prime number?
True
Let c(n) = -13*n**2 - n + 3. Let w be c(4). Let v be 91/52 - (-2)/8. Is v*-11*w/22 a prime number?
False
Let z be -4 - -2*3*18/27. Suppose -2*b = -i + 141 + 184, 0 = 4*i + 3*b - 1333. Let t = z + i. Is t a prime number?
True
Let r(b) = -189*b + 2. Let u be r(-4). Let z = u + -505. Is z a composite number?
True
Let k be (-4)/(-2) - 9/(-3). Suppose -d - 3*i = -0*d + 16, k*i + 50 = -5*d. Let u(h) = -h**3 - 4*h**2 - 2*h - 4. Is u(d) a prime number?
True
Suppose -141*v + 144*v - 3282 = 0. Is v composite?
True
Let t(x) = -342*x - 25. Is t(-4) prime?
False
Let v(w) = -422*w**2 + 3*w + 2. Let k be v(-3). Let q = -1656 - k. Is q composite?
True
Suppose 2*q = 3*q - 74. Let n = -17 + q. Suppose 4*x - 433 + n = 0. Is x a prime number?
False
Suppose 5*t = -3*a - 0*a + 12, 5 = -5*a. Suppose 47 = 3*n + 4*f, 4*n - t*n + 1 = 2*f. Suppose 2*h + 4*x - 170 = 0, 5*x - 435 = -n*h + 4*h. Is h prime?
True
Let m be -2*(-6 + -1 + 5). Suppose m = -2*j + 3*g, 0 = -4*g + 13 + 3. Is 117 + 0 - j*-1 composite?
True
Let b = 21738 - 14587. Is b prime?
True
Let k(c) = 41*c + 7. Let j = 48 - 34. Is k(j) composite?
True
Let h be (-19)/((-1)/10 + 0). Let o = -93 + h. Suppose -j = -2*j - d + o, 0 = 5*j + 3*d - 485. Is j composite?
False
Let s = 74 + -39. Is 10/s + (-3594)/(-14) prime?
True
Let k be 3 + (-2 - -3) + 0. Suppose 0*f - 24 = -2*d + k*f, 8 = -d - 2*f. Is d - (3 + -2)/(-1) composite?
False
Let o be -1 - -9484 - -3*(-2)/(-3). Suppose -3*m + o = 2*m. Is m a prime number?
False
Let o = 18 - 3. Let x = o + -15. Suppose -m + 148 + 89 = x. Is m prime?
False
Let y = -64 - -68. Is -2566*(0 - 2)/y a composite number?
False
Suppose y + f = -y + 37, f = 5. Let n = 21 - y. Suppose 0 = n*l + 4*u - 518, -2*u = -4*l + 3*u + 439. Is l composite?
True
Let p = 7219 - -5998. Is p prime?
True
Is ((-65)/5 - -13) + (0 - -42593) a composite number?
True
Is -4713*(2 + (-49)/21) prime?
True
Let m(y) = 11*y**2 + 2*y - 2. Is m(3) composite?
False
Let y = 23 - 21. Suppose -4*m = y*m. Suppose 3*j - 2700 - 177 = m. Is j prime?
False
Let b(q) = -13*q**3 + 5*q**2 + 5*q + 3. Let t be b(-3). Suppose 3*n = -2*c - c - 585, c = n + 191. Let w = n + t. Is w prime?
True
Let v(n) = -1079*n - 12. Let d be v(-6). Suppose -5844 - d = -6*y. Is y a prime number?
False
Let o(c) = -c**2 + 5*c + 10. Let r be o(6). Suppose r = 3*t - t. Suppose t*m + 394 = 984. Is m prime?
False
Let a = 7728 - -3385. Is a prime?
True
Suppose 5*y - 10*c - 285790 = -5*c, 0 = -2*y + c + 114311. Is y prime?
False
Suppose 3*k - 5*t = 11, 2*t + 0*t = 3*k - 8. Suppose f = c + 751, -k*f + 2253 = f + c. Is f prime?
True
Let s be -1 + -1 + (7 - 3). Suppose 4 + s = 3*d - 3*v, -5*d = 3*v - 34. Let c(o) = -o**3 + 6*o**2 + 7*o - 5. Is c(d) prime?
False
Suppose 3*q = -w - 21 + 3, w + 4*q + 23 = 0. Is ((-3)/w)/(5/745) prime?
True
Suppose -3*d - 3 = 3*w, 3*d - 2*d + 1 = 0. Suppose 0 = -3*b - 4*p + 11523, 0*b - b - 4*p + 3833 = w. Is b prime?
False
Suppose -14454 = -4*m - 2*t, -12*m = -9*m + 5*t - 10844. Is m a composite number?
False
Suppose 2*y + 3*j = -2, -3*j + 8*j = 3*y - 35. Suppose -5*s - 12 = -o, y*o = 3*s - 23 - 5. Let v(n) = -50*n + 13. Is v(o) composite?
True
Let l(q) = -q**2 + 11*q + 15. Suppose 0 = -a - 0*a + 12. Let o be l(a). Suppose -53 = -y - 4*i, o*i + 59 = 4*y - 58. Is y composite?
True
Suppose -8*z + 5*z = -5*j + 4, j = -2*z + 6. Suppose 3*v - j*b = 9459 - 2119, -b = 2*v - 4898. Is v + -1 + -5 + 1 a prime number?
False
Let t(s) = 143*s**3 + s**2 - s. Suppose c = 4*j + 4*c - 5, j - 5*c = -16. Let v be (-3)/j + 14/(-7). Is t(v) a composite number?
True
Suppose 4*t - 2*j - 25770 = 0, 2*t = 4*t - 2*j - 12880. Is t composite?
True
Suppose 0 = 5*z + 4*x - 77759, -2*z + 3*x = -9473 - 21626. Is z a composite number?
False
Let o = 13 - 2. Let c be 7550/65 + (-4)/26. Suppose -d = -o - c. Is d composite?
False
Suppose -6 + 12 = 2*q. Let o be (6 - 3)/(q/2). Suppose -o*f - f + 444 = 2*v, -569
|
{
"pile_set_name": "DM Mathematics"
}
|
(u) wrt u?
16
Let n(j) be the second derivative of 7*j**6/120 - j**4/3 + 3*j**2/2 - j. Let c(f) be the first derivative of n(f). What is the second derivative of c(h) wrt h?
42*h
Let g(b) be the second derivative of 26*b**6/15 + b**5/10 - 5*b**4/6 - 6*b - 1. What is the third derivative of g(m) wrt m?
1248*m + 12
What is the first derivative of -1772*o**2 - 41*o**3 - 176 - 2*o + 3542*o**2 - 1770*o**2 wrt o?
-123*o**2 - 2
Let p = 72 - 60. What is the first derivative of -8 - p + 21*c**4 + 2*c**4 wrt c?
92*c**3
What is the derivative of -34 + 5 + 8*k**2 + 4*k**3 - 22 - 33 wrt k?
12*k**2 + 16*k
Suppose 3*z - 13 = -o - o, -3*z = -9. What is the derivative of -15*h**2 + 5*h**3 + 28*h**2 + 13 - 13*h**o wrt h?
15*h**2
Suppose 0 = 5*d, 0*k = -2*k - 5*d + 78. Differentiate k + 38 + 7*p - 117 + 36 with respect to p.
7
Let b(i) be the first derivative of 508*i**5/5 - 301*i + 258. What is the first derivative of b(t) wrt t?
2032*t**3
Let f(n) = 101*n**2 + 62*n + 1. Let w(k) = 505*k**2 + 310*k + 4. Let v(s) = 11*f(s) - 2*w(s). What is the second derivative of v(r) wrt r?
202
What is the derivative of -3104*a**3 - 3*a**4 + 3104*a**3 - 61 wrt a?
-12*a**3
Differentiate -151 - 15*u**4 + 161 - 7*u**3 + 11*u**4 with respect to u.
-16*u**3 - 21*u**2
Let d be -4*1/(5/(-10)). Find the second derivative of 45*m**4 - 47*m**4 + 2 - 2 + d*m wrt m.
-24*m**2
Let j(q) be the third derivative of -q**4/24 - 113*q**3/6 + 98*q**2. What is the derivative of j(a) wrt a?
-1
Let h(r) be the first derivative of 0*r**3 + 0*r**4 + 44/5*r**5 - r + 8 + r**2. What is the second derivative of h(k) wrt k?
528*k**2
Let n(c) be the third derivative of c**6/30 + 3*c**5/10 + 68*c**3/3 - 10*c**2 + 2. What is the derivative of n(r) wrt r?
12*r**2 + 36*r
Find the third derivative of -337*z**4 + 166*z**4 + 110*z**2 + 171*z**4 + 35*z**5 + 2*z**3 wrt z.
2100*z**2 + 12
Let y be (-5)/(5 - 10) + 10/2. Let t = 4 - 0. What is the first derivative of t + 5*o + 0*o - y*o wrt o?
-1
Suppose -b - 60 = -7*b. Differentiate -12 - 17 + 17 + b*l with respect to l.
10
Suppose 0 = 9*n - 3*n. Let f(w) be the third derivative of 0*w**3 + 1/15*w**5 + 5/24*w**4 + 0 + 3*w**2 + n*w. Find the second derivative of f(t) wrt t.
8
Find the third derivative of 62*u - 4*u**2 + 3*u**3 - 34*u - 36*u + 20*u**3 wrt u.
138
Let t(q) be the second derivative of 17/6*q**3 + 9*q + 15/2*q**2 + 0. Find the first derivative of t(m) wrt m.
17
Let r = 6 - 7. Let q = 6 + r. What is the second derivative of 2*j**5 + 11*j - 12*j - q*j**5 wrt j?
-60*j**3
What is the second derivative of 30*s**4 + 68*s**2 + 112*s - 68*s**2 - 115*s**4 wrt s?
-1020*s**2
Let c(l) be the third derivative of -14*l**2 + 0*l + 0 - 2/3*l**3 + 2/3*l**4. Differentiate c(o) wrt o.
16
Suppose -4*r + 10 = 5*j, 4*j - 3*r = j + 6. Suppose j*i = -0*i - 10, 34 = 3*q - 5*i. Find the first derivative of n + 4 + 5*n**3 - n + q wrt n.
15*n**2
Find the third derivative of 381*g**3 + 40195*g**5 - 4 + 98*g**2 - 2 - 40193*g**5 + 6 wrt g.
120*g**2 + 2286
Let l(n) be the first derivative of 34*n**3/3 + 57*n - 34. What is the first derivative of l(x) wrt x?
68*x
Let n(l) = l**2 - l. Let i be n(2). Let m = 95 + -29. Find the third derivative of 66*w**3 + 7*w**i - m*w**3 + 6*w**5 wrt w.
360*w**2
Let j be 2*(4 - 33/6) - -26. What is the derivative of 14*d + 36 + 2*d + 2*d + j*d wrt d?
41
Let x(p) be the first derivative of -8*p**4 + 96*p + 69. What is the first derivative of x(k) wrt k?
-96*k**2
What is the second derivative of -p**3 - 12*p**4 + p**2 + 2*p**3 - p**2 - 204*p + 13*p**4 wrt p?
12*p**2 + 6*p
Let h(k) = -24*k**2 + 18*k. Let l(b) = b**2 - b. Let f(u) = u + 21. Let g be f(-20). Let a(q) = g*h(q) + l(q). Find the second derivative of a(w) wrt w.
-46
Let p be 6/(-1) - 2/(8/(-31)). Let d(o) be the first derivative of p*o**4 + 0*o**3 + 4 + 0*o**2 - 10*o. What is the first derivative of d(h) wrt h?
21*h**2
What is the third derivative of 33*y**5 + 99*y**5 - 20*y**5 + 138*y**2 wrt y?
6720*y**2
Find the third derivative of 40*h**5 + 32*h**5 + 2 + 86*h**5 - 68*h**2 wrt h.
9480*h**2
Find the first derivative of -5 - 590*n - 4*n**3 + 561*n + 2*n**3 wrt n.
-6*n**2 - 29
Let w(a) = -64*a**3 + 24*a**2 + 36. Let q = 0 + 5. Let z(r) = 13*r**3 - 5*r**2 - 7. Let t(x) = q*w(x) + 24*z(x). Find the first derivative of t(u) wrt u.
-24*u**2
Let u(t) be the third derivative of -64*t**4/3 + 8*t**3/3 + t**2 - 1. Find the first derivative of u(y) wrt y.
-512
Let z(s) = -s**3 - 3*s**2 - 3*s + 3. Let j be z(-3). Find the first derivative of -j + 36*k - 16*k - 16*k wrt k.
4
Let i be (-22)/(-3
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 5*f + 1. Let t be (-6)/(-15) - (-115)/25. Suppose 0*b - 2 = t*h + 3*b, -5*h - 10 = -5*b. Calculate u(h).
-4
Let p(q) = 24*q - 20*q + 14*q. Determine p(1).
18
Let o(m) = -m**3 - 6*m**2 - 5*m - 4. Suppose -2*b + 0*b = -4*g + 18, 0 = g - 3*b + 8. Suppose 2*w - 65 = g*w. Let p = w - -8. Calculate o(p).
-4
Let y(a) be the first derivative of -a**2 - 4*a - 9. Calculate y(7).
-18
Suppose -3*z + n + 16 = z, -2*z = 2*n - 8. Let i(r) be the second derivative of 1/6*r**3 + 1/2*r**2 + 0 + 4*r. Give i(z).
5
Let q(p) = 6*p + 2*p + 3 + p**2 - 2*p**2 - 9. Calculate q(8).
-6
Let l(o) = -o**2 - 6*o - 4. Suppose -3 = j + 1. Give l(j).
4
Let k(g) = 2*g + 4. Suppose 19 = u - 2*u - 4*d, 2*d = u - 5. Let t be k(u). Let j(f) = -f**2 + 2*f**3 + 1 + 1 + 6*f - 2*f + 5*f**2. What is j(t)?
-6
Suppose -n = 3*n - 12. Let m(o) = -2*o - n*o + 3 + o. Determine m(3).
-9
Suppose -5*s = 4*c - 56 + 23, -2*c + 4*s = 16. Let n(o) = c*o**2 + o**2 + 3*o - 4*o**2 + 7. Let l = 2 + 3. Determine n(l).
-3
Let o = 4 + -3. Let x(n) = -n + 1 - o. Give x(2).
-2
Let f be 4 + 0 - 0 - 2. Suppose -3*g = f*g. Let h(p) = -p**2 - p - 10. Determine h(g).
-10
Let h(j) = j**3 + 5*j**2 + 4*j. Let k be h(-4). Suppose 2*w + k*w = x - 7, -5*w = x. Suppose -11 + 1 = -x*s. Let c(d) = -d**3 + d**2 - 2*d + 3. Give c(s).
-5
Let f(t) = t**3 - t**2 + t - 15. Let c be (1 - 0) + (6 - 7). Give f(c).
-15
Suppose 0*p = -6*p. Let z(d) = 5*d - 1. Let c(x) = 11*x - 3. Let j(i) = 4*c(i) - 9*z(i). Calculate j(p).
-3
Suppose 0 = -0*a + 5*a. Let c(o) = -o + 9. Calculate c(a).
9
Suppose -5*r = -5*q, 2*r + q - 16 = -q. Let j(u) be the third derivative of 1/8*u**r + 0 + 0*u + 4*u**2 + 1/6*u**3. What is j(2)?
7
Let t(z) be the second derivative of -5/24*z**4 - 1/360*z**6 - 1/120*z**5 + 0*z**2 - 1/3*z**3 + 0 + z. Let s(v) be the second derivative of t(v). Give s(0).
-5
Let h(w) = 2*w**2 - 5*w + 10. Let c(b) = b + 3 + b**2 + 2 - 4*b. Let j(v) = 5*c(v) - 2*h(v). What is j(5)?
5
Let t(r) = -6*r - 2 - 5*r**2 - 4 + 4 + r**3. Let j(m) = 2*m - 6. Let a be j(6). Calculate t(a).
-2
Suppose 3*z - 92 = -z. Let v = z + -18. Let h(a) = -a + 6. Give h(v).
1
Let a be -1 + (-1)/(-1) + 4. Let t(n) = -n - 4*n**2 + n**3 - a*n**2 + 4*n**2 + 0*n**2 + 3. Determine t(4).
-1
Let i(r) = -r - 3. Let j be ((-4)/(-6))/((-16)/72). Determine i(j).
0
Let s(m) = -m**2 + m + 5. Let d(y) = 2*y - 1. Suppose 6*c - 5*c + 1 = 0. Let v be d(c). Let o(z) = -2*z**2 + z + 9. Let f(j) = v*o(j) + 5*s(j). What is f(-3)?
1
Let m(o) = -o**2 + 7*o - 5. Let d be -2 + (-1)/(1/(-6)). Suppose 3*b - 14 = d. Calculate m(b).
1
Let c = -58 - -62. Let a(m) = m + 2. Calculate a(c).
6
Let t(f) = -f**3 + 5*f**2 - 3. Suppose -6 = -n + 4*x - 2*x, 22 = 5*n - 2*x. Let z = 9 - n. Calculate t(z).
-3
Let s(v) = 2*v - 4 + 0*v**3 + 6*v**2 + 2*v + v**3 - 6*v. What is s(-6)?
8
Let w(x) = -x**3 + 5*x**2 - 2*x - 1. Suppose 0*z = -6*z + 18. What is w(z)?
11
Let v = -21 - -13. Let f(b) be the first derivative of b**3/3 + 4*b**2 + 3*b - 4. What is f(v)?
3
Suppose 28 + 20 = -6*m. Let t(n) = n**2 + 9*n + 8. What is t(m)?
0
Let b(a) = -7*a**2 - 11*a + 3. Let x(f) = -10*f**2 - 16*f + 4. Let l = 8 + -13. Let d(h) = l*x(h) + 7*b(h). Let j be -4*((-3)/(-2))/3. Calculate d(j).
-1
Suppose -r = -5*n - 2, 4*n - 4*r = -n - 8. Let j(p) = -p + n*p + 1 + 4*p**2 + 2*p - p**3. Suppose 0 = -q + 5, 0 = -4*m + 2*q + 6. Determine j(m).
5
Let j(v) be the third derivative of 0 - 1/6*v**3 - 3*v**2 + 0*v - 1/24*v**4. Determine j(2).
-3
Let g be 6/(-4)*(-110)/15. Let u(z) = z - 7. What is u(g)?
4
Let h(v) = -5*v + 1. Let x be ((-5)/(-15))/(2/(-6)). Give h(x).
6
Suppose v + 0*v = -3. Let p(z) = 9*z - 13. Let n(b) = 4*b - 6. Let h(i) = v*p(i) + 7*n(i). Determine h(4).
1
Let d(k) = -2*k**2 - 8*k + 9. Let n(w) = w**2 + 7*w - 8. Let i be ((-15)/(-2))/((-5)/(-10)). Suppose -3 + i = 4*s. Let t(f) = s*n(f) + 2*d(f). Determine t(5).
-6
Suppose 0 = -0*t - 2*t + 4*p + 12
|
{
"pile_set_name": "DM Mathematics"
}
|
129?
True
Does 64 divide 3806912?
True
Does 189 divide 5240851?
False
Is 20022155 a multiple of 48?
False
Is 167 a factor of 14571919?
True
Does 61 divide 1928953?
False
Does 260 divide 3415631?
False
Is 3 a factor of 3561469?
False
Is 54 a factor of 199100?
False
Is 198 a factor of 856548?
True
Is 10008 a multiple of 24?
True
Does 109 divide 694672?
False
Is 29 a factor of 671176?
True
Is 36845 a multiple of 5?
True
Does 79 divide 1226791?
True
Is 1934350 a multiple of 56?
False
Is 500 a factor of 2008107?
False
Is 522 a factor of 326365?
False
Does 730 divide 6640321?
False
Is 72 a factor of 460420?
False
Is 20301813 a multiple of 1141?
True
Does 30 divide 2138303?
False
Is 1250 a factor of 4313750?
True
Does 73 divide 4396352?
True
Does 10 divide 125966?
False
Is 490620 a multiple of 255?
True
Is 9 a factor of 487122?
False
Does 113 divide 4474574?
True
Is 316 a factor of 30652?
True
Is 58377 a multiple of 183?
True
Is 4 a factor of 196532?
True
Does 209 divide 126654?
True
Is 651555 a multiple of 15?
True
Does 105 divide 1940820?
True
Is 2 a factor of 987?
False
Does 39 divide 2111265?
True
Is 2331503 a multiple of 145?
False
Is 5190591 a multiple of 102?
False
Does 31 divide 12412050?
False
Does 21 divide 20606404?
False
Is 6458532 a multiple of 8?
False
Does 44 divide 4083156?
True
Is 5639058 a multiple of 27?
True
Is 30 a factor of 22980?
True
Is 467616 a multiple of 8?
True
Does 21 divide 2269281?
True
Is 39 a factor of 516711?
True
Does 259 divide 43512?
True
Does 8 divide 565401?
False
Is 20 a factor of 68296?
False
Is 190 a factor of 18978?
False
Is 3052860 a multiple of 82?
True
Does 32 divide 158784?
True
Does 68 divide 1017212?
True
Is 2602841 a multiple of 170?
False
Is 119 a factor of 45600?
False
Does 1521 divide 1252324?
False
Is 1783620 a multiple of 324?
True
Is 199423 a multiple of 217?
True
Is 276 a factor of 977247?
False
Does 105 divide 6550110?
True
Is 113 a factor of 1166103?
False
Is 6 a factor of 949584?
True
Does 31 divide 1093753?
False
Is 13 a factor of 1037036?
True
Does 275 divide 632270?
False
Is 99 a factor of 266112?
True
Is 160 a factor of 306094?
False
Is 641695 a multiple of 137?
False
Is 4587946 a multiple of 7?
False
Is 326556 a multiple of 23?
False
Does 2217 divide 23894826?
True
Is 50011 a multiple of 331?
False
Does 187 divide 97988?
True
Does 13 divide 7501?
True
Is 177 a factor of 111002?
False
Does 155 divide 3050227?
False
Is 1553172 a multiple of 144?
False
Is 372294 a multiple of 37?
True
Is 53 a factor of 168328?
True
Is 109 a factor of 252880?
True
Does 9 divide 7461?
True
Is 356 a factor of 4072260?
False
Is 114 a factor of 2770238?
False
Is 50 a factor of 61538?
False
Is 37129 a multiple of 4?
False
Is 25 a factor of 394750?
True
Does 43 divide 1406633?
False
Is 2830997 a multiple of 83?
False
Is 106619 a multiple of 132?
False
Is 13 a factor of 57694?
True
Is 23 a factor of 1210329?
True
Is 934 a factor of 942406?
True
Does 29 divide 13978?
True
Does 1404 divide 5632848?
True
Is 26 a factor of 158420?
False
Is 7 a factor of 1962776?
False
Does 28 divide 2729?
False
Is 61636 a multiple of 76?
True
Does 16 divide 15617795?
False
Is 1710801 a multiple of 529?
False
Is 594 a factor of 369468?
True
Is 679 a factor of 188083?
True
Is 467 a factor of 186626?
False
Is 175760 a multiple of 208?
True
Is 60 a factor of 109989?
False
Is 301868 a multiple of 8?
False
Is 11678 a multiple of 3?
False
Does 15 divide 201105?
True
Is 10 a factor of 1984?
False
Is 4 a factor of 30456?
True
Is 1359909 a multiple of 9?
True
Is 200392 a multiple of 19?
False
Is 29 a factor of 13472240?
True
Does 157 divide 5029296?
False
Is 779 a factor of 1344543?
False
Is 902499 a multiple of 38?
False
Does 968 divide 2787840?
True
Is 2171463 a multiple of 23?
False
Does 7 divide 2228569?
True
Does 208 divide 2533648?
True
Does 5 divide 161160?
True
Is 686125 a multiple of 125?
True
Is 25 a factor of 433538?
False
Is 94 a factor of 7179532?
True
Is 123020 a multiple of 4?
True
Is 115 a factor of 61295?
True
Is 11204614 a multiple of 35?
False
Does 425 divide 654500?
True
Is 2053725 a multiple of 924?
False
Is 196 a factor of 4322237?
False
Does 91 divide 390648?
False
Does 17 divide 340453?
False
Does 23 divide 1192726?
False
Is 21 a factor of 6004146?
False
Does 56 divide 13768482?
False
Does 7 divide 13915?
False
Is 10 a factor of 2273532?
False
Is 17299116 a multiple of 279?
True
Does 186 divide 1260345?
False
Is 138 a factor of 463680?
True
Is 3621453 a multiple of 11?
True
Is 17 a factor of 1664612?
False
Is 152147 a multiple of 12?
False
Is 761691 a multiple of 23?
True
Does 14 divide 1509385?
False
Is 879786 a multiple of 333?
True
Does 38 divide 114798?
True
Does 298 divide 1735850?
True
Is 3 a factor of 9807?
True
Is 10099 a multiple of 3?
False
Is 491346 a multiple of 314?
False
Does 112 divide 79072?
True
Does 7 divide 25053?
True
Does 14 divide 6920?
False
Does 64 divide 84690?
False
Is 19 a factor of 1879577?
False
Is 19 a factor of 1301196?
True
Does 11 divide 292171?
True
Does 99 divide 839223?
True
Is 223 a factor of 147850?
False
Is 11 a factor of 404290?
False
Is 4721692 a multiple of 83?
False
Does 7 divide 4487?
True
Is 39 a factor of 19554?
False
Is 3503755 a multiple of 107?
False
Is 5237387 a multiple of 12?
False
Does 86 divide 948322?
True
Is 12 a factor of 2117327?
False
Is 26 a factor of 65208?
True
Does 23 divide 254872?
False
Is 461 a factor of 1029413?
True
Is 12 a factor of 1406?
False
Is 707760 a multiple of 80?
True
Does 37 divide 2172861?
False
Is 101 a factor of 5196374?
False
Does 122 divide 246259?
False
Is 5 a factor of 231991?
False
Is 26 a factor of 80938?
True
Is 283955 a multiple of 567?
False
Does 43 divide 4696017?
False
Is 550 a factor of 12021432?
False
Is 226 a factor of 1388996?
True
Is 5 a factor of 67176?
False
Does 253 divide 1612875?
True
Does 18 divide 705924?
True
Is 8 a
|
{
"pile_set_name": "DM Mathematics"
}
|
ue
Is 801150 a multiple of 14?
True
Is 873 a factor of 2213514?
False
Is 5 a factor of 295375?
True
Is 15 a factor of 84465?
True
Is 134 a factor of 492107?
False
Is 404298 a multiple of 54?
True
Is 81732 a multiple of 196?
True
Does 11 divide 2159960?
True
Is 79 a factor of 170581?
False
Does 376 divide 520008?
True
Is 2257790 a multiple of 287?
False
Does 35 divide 7840?
True
Does 286 divide 8795?
False
Does 184 divide 1578536?
True
Is 65 a factor of 170625?
True
Does 9 divide 1380573?
True
Is 640104 a multiple of 716?
True
Is 29 a factor of 2812797?
True
Is 2526970 a multiple of 100?
False
Does 533 divide 3314225?
False
Is 109403 a multiple of 6?
False
Does 35 divide 52049?
False
Is 494 a factor of 82141?
False
Is 1470265 a multiple of 92?
False
Is 853553 a multiple of 17?
True
Does 57 divide 379558?
False
Is 412191 a multiple of 271?
True
Does 44 divide 4307160?
True
Is 116 a factor of 279683?
False
Is 25539 a multiple of 33?
False
Is 39780 a multiple of 130?
True
Does 298 divide 396314?
False
Does 315 divide 1836450?
True
Is 194171 a multiple of 57?
False
Is 934 a factor of 4953036?
False
Is 510810 a multiple of 5?
True
Does 110 divide 422883?
False
Does 445 divide 14854207?
False
Is 788049 a multiple of 243?
True
Is 1145093 a multiple of 82?
False
Does 809 divide 519378?
True
Is 338662 a multiple of 58?
True
Is 71 a factor of 3368544?
False
Is 484165 a multiple of 23?
False
Is 384569 a multiple of 49?
False
Is 8205 a multiple of 12?
False
Does 86 divide 1653608?
True
Is 108 a factor of 657936?
True
Is 5943973 a multiple of 719?
True
Is 15770699 a multiple of 481?
False
Is 26 a factor of 1065064?
True
Does 617 divide 265302?
False
Is 13975 a multiple of 4?
False
Is 392 a factor of 36856?
False
Is 192 a factor of 7557312?
True
Is 453672 a multiple of 36?
True
Does 49 divide 127057?
True
Is 255640 a multiple of 11?
True
Is 1826 a factor of 2249632?
True
Is 72 a factor of 23386?
False
Is 234 a factor of 287820?
True
Is 210 a factor of 123900?
True
Is 555 a factor of 1666127?
False
Is 229 a factor of 4836312?
False
Is 102 a factor of 1601298?
True
Is 27 a factor of 1275196?
False
Does 116 divide 2128020?
True
Does 44 divide 719761?
False
Is 1377 a factor of 2733941?
False
Is 22110 a multiple of 30?
True
Is 53262 a multiple of 9?
True
Does 11 divide 22676203?
True
Is 347 a factor of 1132955?
True
Is 2 a factor of 668?
True
Does 81 divide 99607?
False
Is 34 a factor of 108188?
True
Does 4 divide 2381?
False
Does 324 divide 186624?
True
Does 521 divide 914355?
True
Is 232943 a multiple of 284?
False
Does 4 divide 154148?
True
Is 14 a factor of 263302?
False
Does 53 divide 746378?
False
Is 425 a factor of 7262400?
True
Is 4814040 a multiple of 33?
True
Is 20 a factor of 19192?
False
Does 14 divide 5487454?
True
Does 18 divide 402611?
False
Does 11 divide 2100857?
True
Is 1296533 a multiple of 23?
True
Is 115448 a multiple of 27?
False
Does 7 divide 30653?
True
Is 295 a factor of 644870?
True
Is 325 a factor of 121201?
False
Is 64 a factor of 122752?
True
Is 1082 a factor of 3479712?
True
Is 51 a factor of 1489812?
True
Is 2987648 a multiple of 512?
False
Does 749 divide 3104954?
False
Is 5 a factor of 1131069?
False
Does 5 divide 10365?
True
Does 28 divide 1855268?
False
Is 3449547 a multiple of 81?
True
Is 1158575 a multiple of 275?
True
Is 9 a factor of 213220?
False
Does 26 divide 224234?
False
Is 133032 a multiple of 23?
True
Is 12996 a multiple of 342?
True
Does 555 divide 147630?
True
Is 60071 a multiple of 63?
False
Is 7 a factor of 2217841?
False
Is 28 a factor of 5336747?
False
Does 17 divide 1129947?
False
Does 174 divide 161984?
False
Is 17574084 a multiple of 444?
False
Is 121390 a multiple of 10?
True
Does 3 divide 2025819?
True
Does 72 divide 201257?
False
Is 2463650 a multiple of 70?
True
Is 2860896 a multiple of 204?
True
Is 1185553 a multiple of 349?
True
Is 40 a factor of 3432560?
True
Is 9000 a multiple of 36?
True
Is 267 a factor of 265847?
False
Is 195 a factor of 1250708?
False
Does 16 divide 7630432?
True
Is 145488 a multiple of 14?
True
Does 101 divide 37875?
True
Is 152915 a multiple of 57?
False
Does 107 divide 26643?
True
Is 394 a factor of 223382?
False
Is 4374 a multiple of 243?
True
Does 66 divide 886047?
False
Is 7531028 a multiple of 112?
False
Does 197 divide 211184?
True
Is 17 a factor of 929577?
True
Is 15 a factor of 405870?
True
Does 76 divide 132872?
False
Does 62 divide 13210503?
False
Is 85 a factor of 194990?
True
Is 246288 a multiple of 12?
True
Is 2091 a factor of 2379558?
True
Does 114 divide 94848?
True
Does 496 divide 1271744?
True
Is 82 a factor of 228630?
False
Does 340 divide 357340?
True
Does 65 divide 447887?
False
Is 12 a factor of 7491924?
True
Does 28 divide 625585?
False
Is 8841 a multiple of 21?
True
Is 99 a factor of 933075?
True
Does 45 divide 3010060?
False
Does 79 divide 1615945?
True
Does 43 divide 35888?
False
Is 699212 a multiple of 268?
True
Does 43 divide 1856525?
True
Is 79 a factor of 81765?
True
Does 1785 divide 6409935?
True
Does 9 divide 120015?
True
Does 92 divide 1105196?
True
Is 352 a factor of 683070?
False
Is 73 a factor of 19643?
False
Does 13 divide 237452?
False
Is 149 a factor of 448717?
False
Is 76 a factor of 180196?
True
Does 8 divide 44807?
False
Is 213 a factor of 567645?
True
Is 273 a factor of 652518?
False
Is 78 a factor of 80782?
False
Is 58 a factor of 969807?
False
Does 10 divide 49101?
False
Is 1078956 a multiple of 123?
True
Is 1552298 a multiple of 11?
True
Does 12 divide 6836018?
False
Is 4 a factor of 112444?
True
Is 424 a factor of 5098593?
False
Does 59 divide 440184?
False
Is 37416 a multiple of 40?
False
Is 46 a factor of 24021751?
False
Is 174113 a multiple of 157?
True
Is 1440466 a multiple of 34?
False
Is 23184 a multiple of 72?
True
Is 8335 a multiple of 15?
False
Does 29 divide 483022?
False
Is 15863484 a multiple of 34?
False
Does 63 divide 1466262?
True
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
0.05 (b) m (c) 6.1
a
Let d = -0.2804 - 0.1196. Let f = -247.1 + 232. Let a = -15 - f. What is the fourth smallest value in -5, 14, a, d?
14
Let l be (-5)/(1 + 10/2)*(-39)/(-130). What is the fifth smallest value in -0.5, 4, -3, l, -0.05?
4
Let q be ((-66)/385)/(56/(-196)). Which is the biggest value? (a) q (b) -884 (c) 3 (d) 4
d
Suppose -356*l + 403*l = 94. Let w = -2275/9 + 253. Which is the fourth biggest value? (a) l (b) -1.71 (c) 0.5 (d) w
b
Let q = 310.9908 - -0.0092. Let v = 313.5 - q. What is the smallest value in -3, 0.5, v?
-3
Let q = 387 - 161. Let v = -2936/13 + q. Let b be 4*1 - ((-608)/(-72) - 4). What is the biggest value in b, 2, 5, v?
5
Let o be (99/(-45) - -2)*5/2. Which is the biggest value? (a) -1.1 (b) 1/2 (c) o
b
Let z = 0.1347 - 0.1647. Which is the biggest value? (a) -0.1 (b) z (c) 4/19
c
Let x = -227 - -225.41. Let b = x - -1.6. Let j be (-96)/1512*14/(-4). What is the second biggest value in j, 0.4, b?
j
Let f = -73004 - -73000. Let z = -3 + 3.2. What is the third smallest value in z, 3, f, -0.2?
z
Let k = 4626 + -41630/9. What is the fourth biggest value in -4, 0.4, k, -13, -0.02?
-4
Let z be (-63)/(-189) - 3/18. Let u be (-18)/(-6) + (-16)/6. Let w be -2 + -1 + (-63)/(-7). What is the third biggest value in w, z, u?
z
Let u(l) = 11*l - 122. Let b be u(32). Let h = b - 228. What is the second biggest value in h, 107, -5?
h
Let m = 22.963 + -23.463. What is the second smallest value in -6, -0.2, 0.09, m, -1?
-1
Let t = -0.6 + 4.6. Let k = -34242 + 34249. What is the fourth smallest value in -1, t, -5, k?
k
Suppose 0 = -14*r + 18 - 88. Let m be 2/3 - 3/(-36). Which is the second smallest value? (a) -0.07 (b) 0.6 (c) m (d) r
a
Let n = 4240.04 + -4240. Which is the smallest value? (a) -16 (b) n (c) 2
a
Suppose -4*l + 3761 = 3773. Which is the second smallest value? (a) l (b) 1 (c) 0.32
c
Let m = -0.0546 + -3.2454. Let n = -3.1 - m. Which is the second biggest value? (a) 0.3 (b) n (c) 1/24
b
Let o = 0.1897794 + 0.0102206. Let z = 5 - 3. Let f be (z/(-5))/((-9)/(-15)). Which is the second smallest value? (a) o (b) f (c) -34
b
Let g = 5834 - 5833.91. What is the second biggest value in 0, g, -0.18, 0.3?
g
Let t = -42 - -56.4. Let m = t + -14. Let g = 144/109 - 5686/4469. Which is the third biggest value? (a) 0.1 (b) m (c) g
c
Let u = 28 - 25. Let p be ((-825)/(-57))/5 - 9/u. Let z = 6 - 5. Which is the third biggest value? (a) z (b) 0.4 (c) 5 (d) p
b
Let y = -4334 - -4342. What is the second biggest value in -0.2, -3/7, y, 6?
6
Let t be (-273)/(-21) + (-2666)/215. Let v = 2 + -2.4. Which is the smallest value? (a) v (b) 5 (c) t (d) -4/13
a
Let m = 65 + -76. Let f = m + 48. Let g = f + -40. Which is the second biggest value? (a) -1/7 (b) g (c) -2/3 (d) 0.3
a
Let y be (-8)/2 + 7/(-3332)*-2219. Let v = 24/17 - y. Which is the biggest value? (a) v (b) 2/11 (c) 6/5
c
Let u = -9.734 + -0.166. Let m = 5.9 + u. Let t be 24/(-27)*3/6. Which is the biggest value? (a) -3/5 (b) m (c) t (d) -2/5
d
Suppose -5*g + 13 = 33. Let r be 1*-1*g/(-36). Suppose -14*z + 2491 - 2421 = 0. Which is the smallest value? (a) r (b) 3 (c) -3 (d) z
c
Suppose n + 30 = 6*n. Let f be (-1)/(-3) + (-74)/n. Suppose 0 = -5*r - 5*m + 5, r + 2*m - 9 = -5. What is the biggest value in f, r, 0?
0
Let t = 30533 + -122131/4. What is the biggest value in 0, -9/62, t?
t
Let s = 270 + -276. Suppose -26*m - 44 = -28*m. Suppose 16 = -4*i - 2*w, 2*i = -2*i - 5*w - m. Which is the biggest value? (a) s (b) -0.2 (c) -0.3 (d) i
b
Let f = 7894.88 - 7896. Let o = -0.06 - -4.18. Let t = o + f. What is the third biggest value in 1/5, t, -0.2?
-0.2
Let p be (154/(-70) - -1)/(9/15). What is the third smallest value in -0.2, 3, p, -4?
-0.2
Let w = -101178 - -101078.993. Let r = 99 + w. Which is the third smallest value? (a) r (b) -1/2 (c) -0.4
a
Suppose -28*l + 3*j - 15 = -24*l, -2*l = 5*j + 1. What is the third smallest value in -4, -0.066, l?
-0.066
Let x = -0.2 + -0.8. Let m = -127 - -632/5. Let g = 68967/4 - 17242. Which is the second smallest value? (a) 4 (b) x (c) g (d) m
d
Let h = 598.9 - 636. Let u = 37 + h. Let o = -39 - -27. Which is the biggest value? (a) o (b) -0.3 (c) 2 (d) u
c
Let f = -692/465 + 42/31. What is the fourth biggest value in 0, 1/7, -0.041, f?
f
Let p = -125 - -54. Let c = -56 - p. Suppose 0 = -c*z + 13*z + 6. What is the third smallest value in z, 5, -0.03?
5
Let m be 8 + 0 - (-1698)/(-212). What is the biggest
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - 1775*m + 3*m**2 to w + r*m**2 + h*m and give w.
-248
Express 202241*q**4 - 404499*q**4 + 202244*q**4 - 2*q**3 - 223 as g*q + o*q**3 + l + v*q**4 + d*q**2 and give g.
0
Express -2244*r - 2139*r - 1654*r - 4781*r in the form s*r + z and give s.
-10818
Rearrange 34 + 1408*n + 1397*n - 2817*n to the form o*n + c and give o.
-12
Rearrange 5*z + 2 - 354*z**3 - 6*z - 6*z - 91*z**3 - 3 to l*z**3 + g + s*z**2 + w*z and give l.
-445
Rearrange 108*t**2 - 20 + 112*t**2 + 116*t**2 - 340*t**2 + t to the form u*t + d*t**2 + m and give u.
1
Express (1 + 1 - 1)*(2*z - 1 + 1) + (1 + 2 - 2)*(-2*z + 5*z - 2*z) + 0*z - 5*z + 8*z - 10*z - 11*z + 18*z in the form m*z + n and give m.
3
Rearrange 62 - 10*c + 48 + 13 + 14*c to t + s*c and give t.
123
Rearrange (6*c + 3*c - 54*c + (-90 + 18 - 6)*(c + c + 0*c))*(-2*c + 5*c - 2*c)*(0 + 0 + 1) to z*c + v*c**2 + g and give v.
-201
Express ((4*o + 0*o - o)*(2 - 2 - 3) + 11*o - 85 + 85)*(27 + 46 - 16) as t + p*o and give p.
114
Express -11 + 13 + 13475*v - 16759*v as w + i*v and give i.
-3284
Rearrange -337*z + 337*z - 11*z**2 + 0*z**2 + 2*z**2 + z**2 + (-6*z**2 + 4 - 4)*(1 + 3 + 1) to a*z + x + f*z**2 and give f.
-38
Rearrange 910*k**3 - 909*k**3 + 0 - 93*k - 13 to z + g*k + d*k**3 + a*k**2 and give d.
1
Express (-19*u + 27*u - 28*u)*(496*u + 290*u + 3*u) in the form l*u**2 + v*u + c and give l.
-15780
Express -29*f**4 - 2 + 8*f**4 - 2*f**3 - 72*f**2 - 29*f**2 + 12*f**4 in the form z*f + l*f**2 + w + v*f**3 + y*f**4 and give l.
-101
Express 248*c**3 + 26*c**2 - 90*c - 243*c**3 - 28*c**2 in the form z*c**2 + s*c + u*c**3 + t and give u.
5
Rearrange (-10845 - 1757 - 2618)*(2*h**4 + 3*h**4 - 3*h**4) to the form y + m*h + d*h**3 + k*h**2 + n*h**4 and give n.
-30440
Express -67*c**3 + 21*c**2 + 460 - 229 + 7*c - 231 + 55*c**3 as j*c**2 + s*c + q*c**3 + f and give j.
21
Express -2 - 2*w**2 + 2 + 2266*w - 2266*w + 6*w**2 + (4 - 4 + 2)*(-2 + 2*w**2 + 2) in the form m*w**2 + d*w + j and give m.
8
Express (-1 + 3*c - 3*c - 2*c)*(6397*c - 6398*c - 264*c**2 + 1867*c**2) as i*c**2 + v + p*c**3 + f*c and give i.
-1601
Rearrange -2668*l**2 + 1232*l**2 - 77*l**2 - 2493*l**2 to m*l**2 + k*l + x and give m.
-4006
Rearrange (11 - 57 + 13 + 16 + 17 - 32480*i)*(i**2 - 4*i + 4*i) to n*i**3 + c*i + g*i**2 + q and give n.
-32480
Rearrange 650*r - 598 + 1077*r + 598 to d*r + p and give d.
1727
Rearrange (802*s + 12461*s + 24995*s + 21398*s + 1409*s - 2814*s)*(2*s**2 + 1 - 1) to the form v + b*s**3 + a*s + w*s**2 and give b.
116502
Express (-5 + 1 - 2)*(-h + 0 + 0) - 15*h + 4*h - 28*h + 3 in the form k + p*h and give p.
-33
Express 15*y - 15*y + 3804*y**2 - 41 + 41 as o*y**2 + l*y + r and give o.
3804
Express 0*d**2 + 120 - 5*d**2 - 106*d**2 + 114*d**2 + d**4 as i*d + f + u*d**2 + y*d**3 + s*d**4 and give u.
3
Rearrange (-t**3 - t**3 + 0*t**3)*(-5*t + t + 3*t) + (3*t**2 + t**2 - 2*t**2)*(-110*t**2 + 29*t**2 + 488*t**2) to v + p*t + m*t**4 + n*t**2 + x*t**3 and give m.
816
Express -55655*m**2 - 49362*m**2 + 117476*m**2 as r + l*m + n*m**2 and give n.
12459
Rearrange -36*a**4 + 84*a + 84*a**3 - 86*a**3 + 38*a**4 to the form v*a**2 + t*a**3 + x*a + u*a**4 + h and give u.
2
Rearrange -3413*m - 336*m + 304*m**2 - 305*m**2 - 3 + 265*m to c + u*m**2 + r*m and give r.
-3484
Express 0 - 27*z**2 + 1002*z**3 - 1000*z**3 - 25*z**2 - 1 as c*z**2 + p + k*z**3 + o*z and give o.
0
Express (176 - 33*l + 45*l - 9*l + 32)*(-3*l + 4*l**2 - 5*l**2 + 0*l**2) as s + t*l**3 + x*l + k*l**2 and give k.
-217
Express -2694*t**2 - 91*t**2 - 2471*t**2 + 1504*t**2 in the form g + d*t + n*t**2 and give n.
-3752
Rearrange (-2*l - 4*l - 3*l)*(76*l - 90*l + 52*l)*(4*l + 7*l - 5*l) to the form a + m*l**3 + y*l**2 + d*l and give a.
0
Express 166*u - 41562 - 41548 + 83132 as t + w*u and give t.
22
Rearrange -839 + 153 + 3759 - 18*c - 16*c + 36*c to n + k*c and give n.
3073
Rearrange (4 + 0 - 5)*(-10*m**3 - 3731 + 3731) + 11*m**3 - 6*m**3 - 10*m**3 to i*m**2 + g + h*m**3 + n*m and give h.
5
Express -8*p**2 + 0 + 1 + 74*p**2 + 2230*p - 2220*p + 1 as o + n*p**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
= y - -8. Calculate the lowest common multiple of 14 and v.
42
Let x(h) = -h - 3. Let v be 16/(-6)*18/8. What is the smallest common multiple of x(v) and 1?
3
Calculate the common denominator of 1/13 and (-121)/14 - 3/(-2).
91
Let r = -1 + 4. Suppose -r = -2*j - j. Calculate the least common multiple of 6 and j.
6
Let w = 3198 + -8352. Let p = 51603/10 + w. Find the common denominator of p and -27/5.
10
Let m(i) = -i**2 - i - 3. Let p be m(-3). Let x = 15 + p. Let o(q) = -q**3 - 6*q**2 - 6*q + 2. Calculate the lowest common multiple of x and o(-5).
42
Let f = 75116480/2549 + -29469. Let p = f + -38219/40784. Calculate the common denominator of p and 9/2.
16
Suppose -3*g = 5*j - 3 + 4, -5*g - 10 = 0. Let t = 48 - 42. What is the least common multiple of t and j?
6
Let m be ((-12)/(-10))/(15/50). Suppose -m*n = 5*h - 28, 5*n + h - 7 = 7. Let u(p) = 3*p - 2. Calculate the smallest common multiple of n and u(2).
4
Suppose 33 = 6*h - 3. Suppose -10 - 34 = -4*k. What is the smallest common multiple of k and h?
66
Suppose 0 = -0*q + q - 2*p - 18, -4*p = 5*q - 20. Find the common denominator of -2 + 1 - (-34)/40 and 476/q*2/10.
20
Let t(l) = 3*l**2 + 6*l - 3. Suppose 7*b = 4*b + 3. What is the lowest common multiple of b and t(-3)?
6
Let z = -1 - -13. Suppose z = r + r. Calculate the lowest common multiple of (0 - -1)*(0 + r) and 9.
18
Calculate the common denominator of ((-19)/(-2))/(1/4) and 59/7.
7
Let n(k) = 4*k**2 + 2*k - 3. Calculate the lowest common multiple of n(2) and 6.
102
Let z(h) = h**2 - 2*h - 2. What is the least common multiple of z(6) and 12?
132
Let y = -34132 + 1160595/34. What is the common denominator of 111/14 and y?
238
Let v = 4 - 0. What is the lowest common multiple of v and 18?
36
Let a be 1249048/(-6)*(-2)/(-48). Let j = 8680 + a. Calculate the common denominator of j and -15/14.
126
Let y = -3249042 - -71656671/22. Let b = y - 8081. Find the common denominator of b and 27/20.
220
Suppose 2*n = 10, 0*j + 44 = 3*j - 5*n. Let b = -19 + j. What is the smallest common multiple of 5 and b?
20
Let w(r) = -359*r + 1. Let j be w(-1). Let m = -34607719/99210 - 6/16535. Let x = m + j. Find the common denominator of -62/9 and x.
18
Let o(k) = -k - 3. Let q be o(-2). Find the common denominator of 19/4 and q + -1 - (-66)/(-20).
20
Let r(h) = h**2 + 6*h + 11. Calculate the least common multiple of 2 and r(-6).
22
Let w(u) = u + 38. What is the lowest common multiple of 4 and w(-18)?
20
Let x be ((-4)/(-6))/((-2)/(-117)). Suppose -5*b + 71 = -x. Suppose -3*z + b = n, -n = -z + 6*z - 22. Calculate the smallest common multiple of n and 4.
44
Suppose -7*v = -2*v - 20. Calculate the lowest common multiple of v and (5 - 29)*(-3)/4.
36
Let r be 2 - (2 - 10000/12). Let n = r + -853. What is the common denominator of 29/7 and n?
21
Let v(w) = w**2 - 3*w. Let q be v(3). Calculate the common denominator of 2*(-1)/(-12)*-37 and q - -3 - (-91)/(-2).
6
Let b = -30117/10 + 3004. What is the common denominator of -9/4 and b?
20
Let b(t) = -t**3 - 7*t**2 - 3*t - 4. Let m be b(-7). Suppose m = 4*x + 3*a, 0 = -2*a - a - 15. What is the smallest common multiple of x and 12?
24
Suppose 0 = -4*x + h - 1 + 21, 0 = 4*x + 4*h - 40. Suppose -3 = -4*t + 5. Calculate the lowest common multiple of x and t.
6
Find the common denominator of -23/50 and 1/((1/118)/((-1)/(-20))).
50
Let v = -2/31541 + -1671629/693902. Find the common denominator of v and 2/12*297/30.
220
What is the smallest common multiple of ((-12)/10)/(9/(-60)) and ((-2)/4)/(1/(-2))?
8
Let n(d) = -d**3 + 2*d**2 + 6*d. What is the lowest common multiple of n(-2) and 14?
28
Let s = 1304 - 11750/9. Find the common denominator of 34/5 and s.
45
Suppose -3*x + 8 = -4*x. Find the common denominator of 54/11 and ((-86)/x)/(18/8).
99
Suppose 6 = -0*z + z. Let g(s) be the second derivative of s**4/6 + s**3/6 - 2*s**2 - s. Calculate the least common multiple of g(-3) and z.
66
Let v(r) = 158*r. Let c be v(1). Find the common denominator of (-2 + 1)*c/56 and -91/20.
140
Suppose 0 = -0*g + 2*g + 36. Let u = g + 32. What is the smallest common multiple of 22 and u?
154
Suppose 0 = 2*u + 5*k - 16, -3*u = u - 4*k - 88. Suppose -40 = -2*d - 3*d. What is the smallest common multiple of u and d?
72
Let p be (-7)/(98/264) + 2. Let t = -333/14 - p. Calculate the common denominator of 19/2 and t.
14
Suppose 3*k + 73 - 7 = 0. Let y(o) = -4*o - 12. Let a be y(-9). What is the common denominator of -9*2/(a/k) and 73/9?
18
Let g = 26 + -38. Calculate the common denominator of (-3)/(-20)*147/9 and 3 - 3 - (-149)/g.
60
Suppose -2*z - 17 = -5*x - 6, 2*x = 5*z - 4. Find the common denominator of -1 + 33/(-15) + x and -4.
5
Calculate the common denominator of -119/6 and ((-196)/(-42))/(62/3).
186
Let g = 1818/23 + -27455/368. Find the common denominator of -37/70 and g.
560
Let f(t) = t**2 + 4*t - 14. What is the lowest common multiple of f(-7) and 37?
259
Let x(l) = -l**3 + 4*l**2 + 5*l + 2. Let q be x(-9). Find the common denominator of 2 + (q/(-36))/5 and 1 - ((-86)/(-16) - 2).
72
Let s = 51 + -49. Suppose -4*r + 10 = -6. Calculate the smallest common multiple of r and s.
4
Let c be (-6)/(-4)*4/6. Let i(w) = 18*w - 3. Let l(z) = -12*z + 2. Let j(m) = -5*i(m) - 8*l(m). Calculate the least common multiple of 6 and j(c).
30
Suppose -4*m = -4
|
{
"pile_set_name": "DM Mathematics"
}
|
Let h be 36/48 - 1450/(-8). Suppose -4*s - h = -11*s. What are the prime factors of s?
2, 13
Let v(q) = 59*q**2 - 13*q - 15. List the prime factors of v(-1).
3, 19
Let s = -1 - -5. Suppose 3*f + f = -5*m + 64, 0 = s*f - 3*m - 96. Suppose -2*r = 3 - f. List the prime factors of r.
3
Suppose 0 = -5*l - 3*d + 21, 4*l - l + 4*d = 6. Suppose l*f = 1329 + 159. What are the prime factors of f?
2, 31
Let w be ((-15)/(-10))/(6/(-4)). Let j(n) = 61*n**2 - 1. Let l be j(w). Suppose -m - 1 = -l. List the prime factors of m.
59
Let q = 20 - -20. List the prime factors of q.
2, 5
Suppose 45*t + 26176 = 168106. List the prime factors of t.
2, 19, 83
Let j = 16 - 20. What are the prime factors of ((-14)/j)/(2/24)?
2, 3, 7
Suppose -4 = 11*m - 13*m. List the prime factors of (-2)/m - -2*(-51)/(-3).
3, 11
Suppose -4*g + 37 - 9 = 4*z, 3*z = -5*g + 27. Let x(n) = -n**3 + 5*n**2 + 3*n - 3. Let l be x(5). Suppose -48 = -z*h + l. What are the prime factors of h?
3, 5
Let z(p) = 292*p**2 + 11*p - 12. What are the prime factors of z(1)?
3, 97
Suppose 12424 = 4*c + 5*m, -3*m - 4474 = -5*c + 11019. What are the prime factors of c?
7, 443
Suppose -186*q + 164*q = -46684. List the prime factors of q.
2, 1061
Let k(s) = -6*s + 47. Let w(n) = -2*n**3 + 6*n**2 + n - 3. Let p be w(3). What are the prime factors of k(p)?
47
Let o(l) = 4*l**2 - 10*l + 96. List the prime factors of o(40).
2, 3, 127
Let h = 2 + 2. Suppose -5*y = v - 58 - 7, 3*y = -h*v + 209. What are the prime factors of v?
2, 5
What are the prime factors of 10/(-15) + (-2216)/(-12)?
2, 23
Suppose -153*n - 13792 = -5*d - 157*n, n + 2762 = d. List the prime factors of d.
2, 3, 5, 23
What are the prime factors of -2 - ((317/(-1) - 0) + 1)?
2, 157
Suppose -4*h + 1726 = -2*t, -4*h - 3*t - t + 1696 = 0. Suppose 4*k - h = -165. What are the prime factors of k?
2, 3, 11
Let g(q) = -q**3 - 20*q**2 + 33*q - 4. What are the prime factors of g(-22)?
2, 7, 17
Suppose 3*z + 2*z - 1117 = -3*q, 3*z - 679 = -4*q. Let p = -138 + z. What are the prime factors of p?
83
Let g(z) be the third derivative of z**6/120 - z**5/12 - 7*z**4/24 - z**3/3 - 6*z**2. What are the prime factors of g(7)?
47
Suppose 3*s = -s - 2*q + 26, -5*s - q + 31 = 0. Suppose -3*x + s = -0*x. Suppose -4*g - 164 = -4*m, 4*m + 7*g - x*g - 182 = 0. List the prime factors of m.
43
Suppose 0 = 3*u - t - 44, 6*u - u - 80 = -5*t. Suppose -4*s + u = 4*d - 121, 0 = -2*d + 5*s + 68. What are the prime factors of d?
2, 17
Let d be 416/14 - 4/(-14). Let f = -34 + d. Let z(m) = -m**3 - 2*m**2 + 2*m + 1. What are the prime factors of z(f)?
5
Let c(i) be the third derivative of 4*i**5/15 + i**4/12 - 2*i**3/3 + 31*i**2. What are the prime factors of c(4)?
2, 5, 13
Let r be (-3 + 4)*2/2. Let l = 0 + -1. What are the prime factors of (r/l)/(7/(-70))?
2, 5
Let q(d) be the first derivative of 2*d**3/3 - 5*d**2 + 7*d - 4. Let h be 20/(-25)*(-15)/2. List the prime factors of q(h).
19
Suppose 3*b = 3*n + 948, -6*b + 4*n - 976 = -9*b. List the prime factors of b.
2, 5
Let m(z) = z**2 - 4*z + 1. Suppose -5*o + 2*c + 60 + 6 = 0, 0 = -3*c - 9. Suppose 0 = -3*q + 4*f + 32, o = 2*q - f + 3*f. What are the prime factors of m(q)?
3, 11
Suppose 3*z - 2*z = 2*t - 6, -2*z - 4*t = 4. Let u(b) = b**3 + 3*b**2 - 4. Let l be u(z). What are the prime factors of -1 - 7/(14/l)?
3
Let n = -677 + 3015. What are the prime factors of n?
2, 7, 167
Let s(u) = -8*u + 27. Suppose 0*c - 4*c + 25 = -j, -2*c - 28 = 4*j. What are the prime factors of s(j)?
3, 11
Let z = 59 + 149. Let n be z/(-7) - (-6)/(-21). What are the prime factors of n/4*(-4)/6?
5
Let d(x) = 5*x + 3*x - 4*x + 9*x + 2 + 6*x. Let w be (-2)/(-8) - 14/(-8). List the prime factors of d(w).
2, 5
Let p(x) = 97*x**2 + 3*x - 2. Let f(m) = -292*m**2 - 9*m + 6. Let s(i) = 2*f(i) + 7*p(i). What are the prime factors of s(1)?
2, 3
Let i = 2 - -99. Let v = -86 + i. List the prime factors of v.
3, 5
Let r(d) = 4 - 2*d**2 + 0*d**2 + d**2 - d - d**2. Let n be r(4). List the prime factors of (-3 - (1 + n)) + -3.
5
List the prime factors of -29 + 29 - 1*-1725.
3, 5, 23
Suppose c + 5375 = 5*h, -4*h = -6*h - 5*c + 2177. List the prime factors of h.
2, 269
Let b(r) = -1 + 2*r - 7 + 4*r. List the prime factors of b(9).
2, 23
Let h(i) = -2*i - 7. Let c be h(-6). Suppose -3*n = -q - 97, c*n = q - 6*q + 135. List the prime factors of n.
31
Suppose -68*h - 1365 = -107*h. List the prime factors of h.
5, 7
Suppose -4*b - c = c + 84, -b - 5*c - 21 = 0. Let q = b + 23. Let u = q - -7. List the prime factors of u.
3
Let q(g) = g**2 - 14*g - 104. What are the prime factors of q(20)?
2
What are the
|
{
"pile_set_name": "DM Mathematics"
}
|
digit of n?
0
Suppose -3*n + 2*x = -17 - 14, -39 = -2*n + 5*x. Suppose -3*j - y = 16, -4*j - 3*y - 11 - n = 0. What is the units digit of (15/(-5))/(j/16)?
8
Suppose -18 = -v + 2*z, -4*z = -v - 2*v + 52. What is the units digit of v?
6
Suppose -167 = -5*t - 52. What is the units digit of t?
3
Let d(f) be the third derivative of f**6/360 - 7*f**5/120 + f**4/8 + f**3/6 + f**2. Let n(o) be the first derivative of d(o). What is the units digit of n(7)?
3
Let j(k) = 6*k + 3. Let t be j(-3). Let n = 8 + t. What is the tens digit of (-2 - -4)/((-1)/n)?
1
What is the units digit of (-1)/(-2) + 21/2?
1
Let g(d) = d**2 + 9*d - 15. What is the units digit of g(-11)?
7
Suppose -9 = -3*m - 0. Suppose -w = -m + 1. What is the units digit of w?
2
Let s = -7 - -9. Suppose 3*j - 4*j - s*i = -20, -j + 20 = -2*i. What is the tens digit of j?
2
Suppose 0 = j + o - 65, -372 + 47 = -5*j + o. What is the tens digit of j?
6
Suppose 0 = -3*j + 7*j. Suppose -164 = -j*m - 4*m. What is the units digit of m?
1
Suppose -2*c + 7 = -3. What is the tens digit of (-2)/c - 214/(-10)?
2
Suppose 0*o + 9 = o. What is the units digit of o?
9
Suppose 4*k = 2*w + 12, -2*k + 2*w + 16 = 3*k. Suppose 3*p - 13 = -g, -2*g + g = -k*p + 29. What is the units digit of p?
6
Suppose -108 - 77 = -m. What is the tens digit of m?
8
Let l be -1*(2 + -1)*2. Let f be l + (4 - (2 + -2)). Suppose 0 = f*i - 6*i + 20. What is the units digit of i?
5
Let k(d) = -d**2 + 13*d - 14. Let a be 6/(-10) + 114/15. Let p = a - -3. What is the tens digit of k(p)?
1
Suppose -j + 5*j - 8 = 0. Suppose 18 = 4*o + j. Suppose -4*p - p = g - 12, -3*g = o*p - 14. What is the units digit of p?
2
Suppose -4*p + 11 = -37. What is the units digit of (-1)/((-4)/8) + p?
4
Suppose 11 = z + 3*u, -3*z + 1 = -5*u - 4. Suppose 4*d - 4*l - 9 - 11 = 0, -4*l = -3*d + 20. Let m = d + z. What is the units digit of m?
5
Let i(y) = 3*y**2 - y. Let s be i(1). What is the tens digit of 2*s/(-4)*-31?
3
Let l be (1/2)/(3/24). Suppose -d + l = d. What is the units digit of d?
2
Let o(b) = 5*b - 7. What is the units digit of o(4)?
3
Let q = 2 + 5. What is the units digit of q?
7
Let s(j) = 26*j**2 + 13*j + 26. What is the units digit of s(-3)?
1
Let r = -2 - -43. What is the tens digit of r?
4
Let a(b) = -7*b**3 - 3*b**2 - b - 1. Let v(r) = 5*r + 3*r**2 + 13*r**2 + 13*r**3 + 21*r**3 + 5. Let h(p) = 11*a(p) + 2*v(p). What is the units digit of h(-1)?
8
Suppose 0 = v + 8*v - 3456. What is the units digit of v?
4
Let u be (84/10)/(6/40). Suppose -4*b - 4*s + u = 0, 2*b + 7*s - 36 = 3*s. What is the tens digit of b?
1
Suppose 0 = -2*u - 43 - 13. Let j = -15 - u. What is the tens digit of j?
1
Let j = -62 - -130. What is the tens digit of j?
6
Let s = 27 - 27. Suppose s = -4*a + a + 54. What is the units digit of a?
8
Let q = 555 - 125. What is the hundreds digit of q?
4
Suppose -16*a + 453 + 731 = 0. What is the units digit of a?
4
Suppose 4*t - 12 = -2*u, 3*u = 3*t - 8 - 1. Suppose -5*j + u*j = -40. What is the units digit of j?
8
What is the tens digit of 12/(-6) + 82/2?
3
Let n = 7 + -11. What is the units digit of n*(6/(-4) - 0)?
6
What is the units digit of (16 - 127)/(-3 + 0)?
7
Let y = -7 + 7. Suppose 5*l + 5*t - 65 = y, -2*l - t = -18 - 6. What is the units digit of l?
1
Let m(d) = 2*d**3 - 9*d**2 + 9*d + 7. Let l be m(7). What is the tens digit of l/7 - 1/(-1)?
4
Let g be 4/(2/(-4)*-2). Let s = g - 2. What is the units digit of 7/(s/(3 + -1))?
7
Let o = 101 + -61. Suppose -5*g + o = -15. What is the units digit of g?
1
Let h be (2/(-4))/(2/(-24)). What is the tens digit of (-81)/h*8/(-6)?
1
Let z(d) = d**2 - 7*d - 2. Let r be z(8). Let p be 3/6*r/3. What is the units digit of p*-2 - (-15 - -3)?
0
Suppose 5*p = 21 + 14. Suppose -4*g + p = i, g + 0*g - 3*i - 5 = 0. What is the units digit of g?
2
Let g be -2 + 0 + 0 - -2. Let c = g + 16. Let v = c + -2. What is the tens digit of v?
1
Let g = -9 - -12. Let w = g + 2. Suppose -w = -3*b + 13. What is the units digit of b?
6
Suppose -5*g + 171 = 41. What is the units digit of g?
6
What is the units digit of 8/(-14)*(-14)/4 + 160?
2
Suppose 3*v + 5*x = -2*v + 190, 110 = 3*v + x. What is the units digit of v?
6
Let i(p) = 2*p + 1 + p**2 - 1 + 1. Let b be i(2). Let y = b - 5. What is the units digit of y?
4
Suppose -5*a - 8*m = -4*m + 1, 4*m + 13 = -a. Suppose 2*q = i - 3, 1 = a*q - q - 5*i. What is the units digit of (-16)/(-6) + q/3?
2
Let s(o) = 6*o**2 + o - 6. What is the units digit of s(4)?
4
Suppose -290 = -5*b + u, -3*b + 0*b + u + 174 = 0. Suppose 2*j - 4*j = -b. Suppose -5*v + r = -2*r - j, 5*r - 24 = -2*v. What is the units digit of v?
7
Let u = 7 - 4. Suppose -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
3/9. Calculate the common denominator of z and 75/24 - (3 - 0).
8
Suppose -115 = 5*k + 5. Let o = 96/67 + -5333/402. Calculate the common denominator of 10 - 7 - (-267)/k and o.
24
Let q = -5785/6 - -947. Let o = 145/4 + -991/28. What is the common denominator of q and o?
42
Let x = -18 + 26. Suppose f = x*f - 63. What is the least common multiple of 24 and f?
72
Let f(d) = -d**2 - 10*d - 6. Let n be f(-9). Suppose 5*w + 2*k = 148, -n*w + 4*w + 5*k = 25. Let y = -26 + w. What is the lowest common multiple of 5 and y?
20
Suppose 0 = 296*j - 301*j + 800. What is the smallest common multiple of j and 12?
480
Let p = 0 + -164. Let n = 1825/11 + p. What is the common denominator of ((-2)/(-1))/(6/23) and n?
33
Let l be (2059/(-4))/((-7)/(-2)). Let w = -147 - l. Find the common denominator of (-20)/80 - 3/(-16) and w.
112
Find the common denominator of -53/4 and 2 - 0 - 52/(-286).
44
Let h(d) be the first derivative of -d**2/2 + 6*d - 7. Suppose 0 = -2*b - 2*b. Calculate the least common multiple of h(b) and 8.
24
What is the common denominator of (-1683)/162 + 1 + 2 and -137/12?
36
Let t = -87935/24 + 3669. What is the common denominator of t and -65/36?
72
Let d = 971 - 503. Let z = 1005/2 - d. Calculate the common denominator of 150/60 - (2 + 0) and z.
2
Let q(k) = k**2 - 4. Let w be q(3). Suppose -w*n + 16 = -n. Calculate the smallest common multiple of n and 9.
36
Let u(l) be the third derivative of -l**6/60 - l**5/30 - l**4/8 - 22*l**2. Suppose -b + 7 = -15. What is the lowest common multiple of b and u(-2)?
154
Suppose 8 = 4*s - 0*s. Let z = 3 + s. Suppose -3*j + 2*x + 3*x = 115, -2*x = -z*j - 179. Calculate the common denominator of 57/10 and j.
10
Let w = -10/149 - 4400/1043. What is the common denominator of -1 + 1*(-9)/10 and w?
70
Let h = 204 + -200. Suppose 0 = -5*k + 32 + 13. Suppose -7 - k = -h*i. Calculate the lowest common multiple of 4 and i.
4
Let i be 1*425 - -1 - -2. Let f be 10/5 + (-851)/i. Let b = -20335/428 + f. What is the common denominator of b and -53/3?
6
Let c = 1437490467841/5258 - 273391111. Let w = c + 1/478. Let h = 39/11 - -115/132. Calculate the common denominator of h and w.
132
Suppose -18 = -v - 2*v. Let b(n) = n**3 - 5*n**2 - 4*n - 2. Let f(j) = j - 4. Let c be f(10). What is the lowest common multiple of b(c) and v?
30
Let p = 3/1291 - -37349/38730. What is the common denominator of p and 107/20?
60
Let j(u) = -u**3 - 20*u**2 + 17*u - 28. What is the least common multiple of j(-21) and 455?
3640
Let i(s) = 12*s**2 - 6*s + 30. What is the least common multiple of i(3) and 45?
360
What is the lowest common multiple of (-4)/((-120)/(-357) + 20/(-35)) and 5?
85
Let r = -9/1334 + -20569/16008. Calculate the common denominator of r and 9/(8505/(-5391)) - (-18)/(-42).
120
Let g = 12083/60 - 1024/5. Let o(b) = -b**3 - 8*b**2 - 6*b - 2. Let u be o(-7). Let t = -7 - u. Find the common denominator of t and g.
12
Calculate the common denominator of 40 + -57 + (-520)/(-35) and (1 - -18)*(-2)/(-9).
63
Let m(g) = -g**3 - 11*g**2 - 19*g - 1. Let i be m(-10). Let j = i - 65. What is the smallest common multiple of j and 12?
24
Let w = -31337/726541 + 303611394551/90474697648. Let l = w + -1/7783. What is the common denominator of l and -71/44?
176
Let i = 2 + 1. Suppose 3*x = 3*s - 1452, 0 = -i*s - 0*x + x + 1454. Calculate the common denominator of -62/9 and s/(-12)*6/(-20).
72
Suppose -25*x + 32*x = 126. Calculate the least common multiple of x and 22.
198
Suppose 8*u = u - 91. What is the least common multiple of -3 + (1 + -3 - u) and ((-2)/6)/((-1)/12)?
8
Let i be 4 + -154 + (1 - -1). Let j = -106 - i. What is the lowest common multiple of 12 and j?
84
Let t = -317/13 - -3085/78. What is the common denominator of t and 1170/(-810)*(-42)/(-4)?
6
Suppose -2*d + 0*d + 10 = 0. Let k = 4 + d. Let y = 12 + -4. Calculate the lowest common multiple of y and k.
72
Let u = -26 - -44. Let g be (-4)/6 + 222/9. Let p = -16 + g. Calculate the least common multiple of p and u.
72
Let a be 7/2 - 6/(-12). Suppose -20 = -3*m + a*m. Find the common denominator of (-18)/m*7 - -3 and 51/2.
10
Let d(q) = -12*q**2 + 2*q - 1. Let o be d(2). Let f = -23 - o. Suppose 0 = -3*h + 2*p + 56, p = -h + 5*p + f. What is the least common multiple of 22 and h?
198
Let v = -22 - -16. Let u(p) = -2*p - 2. Let h be u(v). Suppose -h*g + 7*g + 18 = 0. Calculate the lowest common multiple of g and 4.
12
Suppose -17*f + 765 = -544. Calculate the least common multiple of 66 and f.
462
Find the common denominator of -83/4 and (0 - 7)/((-102)/221).
12
Let s = -11 - -26. What is the least common multiple of ((-12)/(-10))/(2/s) and 10?
90
Let u be 5 - ((0 - 1) + 2)*0. Let v(p) = p + 6. Let a be v(-5). Suppose -11 = -u*f - a. What is the lowest common multiple of 12 and f?
12
Let a = -17 + 31. Suppose 5*h - 27 - 23 = 0. Calculate the least common multiple of h and a.
70
Suppose 3*j - 2 + 8 = 0. Let n(q) = -3*q**3 - q**2 - 2. Suppose -2*o + 80 = -4*p, 0 = o + 2*p + p - 50. What is the lowest common multiple of n(j) and o?
396
Let p = 11085221985440 - 21766454140843219517/1963556. Let t = 195/644 + p. Let f = 106727/73176 + t. Find the common denominator of -119/10 and f.
120
Suppose 2*a + 0*a = 2. Suppose 5*y = -a - 4. What is the common denominator of 287/(-7) + (y - -1) and -29?
1
Let x = 817423
|
{
"pile_set_name": "DM Mathematics"
}
|
e of m**4 - 244*m + 152. Let g(a) be the first derivative of h(a). Let x(i) = -12*i. What is x(g(o))?
-144*o**2
Let o(l) = 7169*l. Let s(t) = 355*t. Give o(s(r)).
2544995*r
Let a(o) = 145*o**2. Let f(y) be the first derivative of -y**5/60 - 85*y**2/2 + y - 86. Let j(l) be the second derivative of f(l). Calculate a(j(k)).
145*k**4
Let m(u) = 12890*u. Let h(k) = -865*k**2. Calculate m(h(b)).
-11149850*b**2
Suppose -5*j = 3*c, 6*j - 3*j = -2*c. Let b(o) = o + c*o + o. Let f(m) = m**2 - 1687 + 1687. What is b(f(i))?
2*i**2
Let t(m) = 155211*m**2 - 3. Let i(b) = 96*b. Give i(t(h)).
14900256*h**2 - 288
Let f(a) = 50*a**2 - a - 1. Let l(h) = 5*h**2 - 2. Let c(d) = -f(d) - 2*l(d). Let p(z) = -z. Calculate p(c(o)).
60*o**2 - o - 5
Let d(z) = 2*z. Let q(p) = -1000195*p. Determine q(d(o)).
-2000390*o
Let z(q) = 0*q + 4*q + 2*q - 8*q. Let u(w) = -6190*w. Calculate u(z(j)).
12380*j
Let r(s) = 2*s**2. Let g(m) = 282 + 274 - 4*m**2 + 280 + 110*m - 836. Determine g(r(y)).
-16*y**4 + 220*y**2
Let z(u) = 6*u. Let s(n) = 25*n. Let v be (-66)/8*(-56)/42. Suppose 3*x + v = f, 6 = x + x. Let i(c) = c. Let l(b) = f*i(b) - s(b). Determine z(l(d)).
-30*d
Let z(b) = 4*b + 636*b**2 - 4*b - 3077*b**2 + 7339*b**2. Let v(o) = 3*o. Determine z(v(y)).
44082*y**2
Let t(z) = 14*z + z - 5*z - 26 + 21. Let n(v) = -v**2 + 12*v - 6. Let r(a) = 5*n(a) - 6*t(a). Let s(w) = -31*w + 2. Calculate s(r(p)).
155*p**2 + 2
Suppose 4*y + 11 = 5*z + 2, 0 = -3*z + 4*y - 1. Let p(u) be the first derivative of 4 - 1 + 13 - 2 + z*u**2. Let k(j) = j. Calculate k(p(n)).
10*n
Let u(s) = 472*s**2 - 6*s + 1. Let v(r) = 1721*r. Give v(u(b)).
812312*b**2 - 10326*b + 1721
Let j(m) be the third derivative of -m**4/3 - 8928*m**2. Let w(k) = -k - 35. Give j(w(d)).
8*d + 280
Let z be ((-18)/(-15))/((-4)/(-10)). Let w(j) = -z*j + 0 + 0. Let k(o) be the third derivative of 13*o**4/24 + 107*o**2 + 17*o - 3. Calculate k(w(x)).
-39*x
Let c(x) = 98*x - 202*x + 100*x - 7 + 7. Let b(d) = d - 8. Let o be b(10). Let z(l) = -5*l**2 - l**2 + o*l**2 + 2*l**2. Give c(z(y)).
8*y**2
Let l(n) = 218*n**2. Let p(t) be the second derivative of -18*t + 0*t**3 + 2 + 0*t**2 - 1/6*t**4. What is p(l(v))?
-95048*v**4
Let a be (5/(-75))/((-16)/7*35/50). Let g(w) be the third derivative of 0*w**3 + a*w**4 - 19*w**2 + 0*w + 0. Let x(i) = -5*i. What is x(g(m))?
-5*m
Let v(f) = f**2. Suppose -5*b = -41 - 44. Suppose 0*y - 125 = -5*y + 4*g, -y + 54 = 5*g. Let c(p) = 2*p + b + 15 - y. Calculate v(c(a)).
4*a**2 + 12*a + 9
Let p(a) be the first derivative of a**4/4 + 3*a**2/2 - 7*a - 8. Let z(c) be the first derivative of p(c). Let q(j) = 2*j**2. Calculate q(z(l)).
18*l**4 + 36*l**2 + 18
Let m(u) = -10*u**2. Suppose -3*g + 5*g = -b + 90, b - 5*g - 104 = 0. Let y(i) = b*i**2 - 62*i**2 - 45*i**2. Determine y(m(j)).
-1300*j**4
Suppose 0 = 5*k + 3*a - a - 25, 3*k - 15 = -3*a. Let o(u) = -u**2 + k*u**2 - 3*u**2 - 2*u**2 + 2*u**2. Let h(q) = -31*q**2. Calculate o(h(p)).
961*p**4
Let f(g) = 628*g**2 + 689*g**2 - 1324*g**2. Let x(p) = 14*p**2. What is f(x(l))?
-1372*l**4
Let r(p) = -p**2. Suppose 0 = -3*g + 61 + 164. Let h(c) = -g*c - 90*c - 43*c. Give h(r(m)).
208*m**2
Let s(n) = -n - 4. Let u be s(-6). Let r(a) = 48*a**2 - 33*a**2 - 3*a**2 + 55*a**u. Let j(p) = p**2. Give r(j(x)).
67*x**4
Suppose -5*z + b + 11 = 0, 0*b - 2 = -3*z - 4*b. Let s(h) = -3 - 40*h**2 - 1 + 69*h**2 - 38*h**z. Let a(j) = -2*j**2 + j**2 + 42*j - 42*j. Give a(s(w)).
-81*w**4 - 72*w**2 - 16
Let f(z) = -27*z. Let n(a) be the third derivative of 5*a**5/12 + 468*a**2. What is f(n(t))?
-675*t**2
Let j(a) = 4*a**2 + a + 3. Let f(n) = 23664*n**2 + 5712*n + 17136. Let z(y) = -2*f(y) + 11424*j(y). Let u(l) = -l. Determine z(u(i)).
-1632*i**2
Let b(v) = -8*v. Let l(j) = 231*j. Let w(a) = -88*b(a) - 3*l(a). Let n(m) be the second derivative of 3*m**4/4 - 116356*m. Determine n(w(q)).
1089*q
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from qiiqqiqqqiii.
1/11
What is prob of sequence liis when four letters picked without replacement from {i: 5, s: 2, l: 2}?
5/189
Two letters picked without replacement from jjnjjn. Give prob of sequence jj.
2/5
What is prob of sequence vvxx when four letters picked without replacement from vovxxoovxvovoov?
1/182
Two letters picked without replacement from donnndddooojojd. Give prob of sequence jn.
1/35
What is prob of sequence bbwl when four letters picked without replacement from {l: 2, d: 3, k: 1, w: 1, b: 6}?
1/286
Calculate prob of sequence zwe when three letters picked without replacement from wzwzzzzwzwzzwzwzzze.
4/323
What is prob of sequence aa when two letters picked without replacement from aaaaaaagaaaaa?
11/13
Three letters picked without replacement from kbjjhjrrerbejk. Give prob of sequence rjh.
1/182
What is prob of sequence mnam when four letters picked without replacement from nanmmmnnmnannnmnnnn?
5/969
Four letters picked without replacement from jdjld. Give prob of sequence jjdl.
1/30
Four letters picked without replacement from osooooso. Give prob of sequence ooos.
1/7
Calculate prob of sequence xz when two letters picked without replacement from {z: 3, x: 3}.
3/10
What is prob of sequence hbfa when four letters picked without replacement from abbfphabfkbh?
4/1485
What is prob of sequence am when two letters picked without replacement from {a: 3, m: 7, v: 7, x: 2}?
7/114
Four letters picked without replacement from {c: 3, e: 6, z: 1, g: 3, u: 1}. Give prob of sequence eucc.
3/2002
Calculate prob of sequence dqc when three letters picked without replacement from dqqdcdoyddcmdmq.
6/455
What is prob of sequence vbvb when four letters picked without replacement from vvbbbve?
3/70
Three letters picked without replacement from zzzeetzzzpzzz. What is prob of sequence tpz?
3/572
Four letters picked without replacement from zzxtrxztjddrztzrxtz. What is prob of sequence ztzj?
5/3876
Three letters picked without replacement from gzbzmmmm. What is prob of sequence zgz?
1/168
Three letters picked without replacement from zmmmzmuzzzmzzmmzmzmz. What is prob of sequence mum?
1/95
What is prob of sequence ldd when three letters picked without replacement from dddddddddddl?
1/12
Calculate prob of sequence ddd when three letters picked without replacement from qddqddqqddd.
7/33
Calculate prob of sequence oe when two letters picked without replacement from {u: 4, e: 1, w: 3, o: 1, a: 6}.
1/210
Three letters picked without replacement from {t: 16, c: 4}. What is prob of sequence ttt?
28/57
Calculate prob of sequence udx when three letters picked without replacement from uuxrudxuuudddddux.
21/680
Calculate prob of sequence sdu when three letters picked without replacement from {o: 3, u: 10, s: 2, d: 1}.
1/168
Three letters picked without replacement from plpclccc. Give prob of sequence lcl.
1/42
Four letters picked without replacement from {x: 6, e: 1, m: 1, y: 3, h: 3}. What is prob of sequence myyx?
3/2002
Calculate prob of sequence ffe when three letters picked without replacement from {h: 5, m: 2, f: 2, e: 8}.
1/255
Four letters picked without replacement from {x: 5, o: 3}. Give prob of sequence ooox.
1/56
Calculate prob of sequence rrr when three letters picked without replacement from rrzrzkkizkzkkcckkkrk.
1/285
Two letters picked without replacement from {v: 1, r: 1, d: 4, z: 7}. Give prob of sequence rz.
7/156
Two letters picked without replacement from iurgwui. What is prob of sequence uw?
1/21
What is prob of sequence sx when two letters picked without replacement from {u: 1, v: 1, s: 1, x: 7, m: 5}?
1/30
Calculate prob of sequence hb when two letters picked without replacement from ddbhdbdh.
1/14
Calculate prob of sequence ddt when three letters picked without replacement from ttihthzhzizizhhddz.
1/816
Two letters picked without replacement from qqqqqqq. Give prob of sequence qq.
1
What is prob of sequence txu when three letters picked without replacement from uxxuhthttxxuhut?
32/1365
What is prob of sequence mjg when three letters picked without replacement from {j: 1, g: 6, z: 3, m: 7}?
7/680
Two letters picked without replacement from bbxxbbxbbbb. Give prob of sequence bx.
12/55
Calculate prob of sequence re when two letters picked without replacement from gokkkekkkekkkkgrver.
1/57
Three letters picked without replacement from {r: 10, m: 2}. What is prob of sequence rmm?
1/66
Calculate prob of sequence efe when three letters picked without replacement from {f: 1, e: 7, u: 9, y: 1}.
7/816
Two letters picked without replacement from {f: 1, l: 2, v: 4, e: 5, b: 4}. What is prob of sequence ll?
1/120
What is prob of sequence uq when two letters picked without replacement from {q: 3, n: 3, s: 1, a: 3, u: 1}?
3/110
Two letters picked without replacement from {f: 5, t: 2, p: 1, v: 1, r: 3}. Give prob of sequence tf.
5/66
Calculate prob of sequence yky when three letters picked without replacement from {k: 1, y: 2, c: 1, f: 4, m: 1}.
1/252
Three letters picked without replacement from ylanlqv. What is prob of sequence qln?
1/105
Three letters picked without replacement from {e: 2, p: 1, q: 6, h: 2, t: 6}. What is prob of sequence tet?
1/68
Calculate prob of sequence kp when two letters picked without replacement from {k: 2, h: 3, c: 4, t: 1, p: 6}.
1/20
Two letters picked without replacement from {z: 5, y: 8}. Give prob of sequence zz.
5/39
Four letters picked without replacement from {c: 2, d: 2, t: 4}. What is prob of sequence ttct?
1/35
What is prob of sequence av when two letters picked without replacement from affvfafzwww?
1/55
What is prob of sequence ttkk when four letters picked without replacement from {t: 2, k: 3}?
1/10
Two letters picked without replacement from {x: 2, m: 3, u: 1, i: 4, s: 1}. Give prob of sequence us.
1/110
Calculate prob of sequence vsv when three letters picked without replacement from ovsesvy.
2/105
Three letters picked without replacement from {x: 8, c: 2, t: 4, p: 5}. Give prob of sequence ptt.
10/969
What is prob of sequence cyc when three letters picked without replacement from {g: 10, u: 3, t: 1, c: 4, y: 1}?
2/969
Three letters picked without replacement from {p: 2, l: 6}. What is prob of sequence llp?
5/28
Calculate prob of sequence tv when two letters picked without replacement from qvtq.
1/12
Four letters picked without replacement from {s: 1, u: 2, l: 4, v: 4, m: 3}. Give prob of sequence ulsu.
1/3003
Calculate prob of sequence xj when two letters picked without replacement from {x: 1, j: 3}.
1/4
Three letters picked without replacement from fxllxxlxlxxxflfxl. What is prob of sequence xff?
1/85
Two letters picked without replacement from rxrvxrsrvrrrvrvrvxs. Give prob of sequence vr.
5/38
Calculate prob of sequence wuur when four letters picked without replacement from {w: 2, t: 5, r: 2, u: 4}.
2/715
What is prob of sequence t
|
{
"pile_set_name": "DM Mathematics"
}
|
Let v be j(s). Solve -2*f - v = -0*f for f.
-2
Let p be (-1058 + 12)/1*2/(-4). Let z = 539 - p. Suppose -q + 5*o + 18 = 0, -2*q - 15 = -6*q + o. Solve f = -q*f - z for f.
-4
Let n(l) = -l**2 + 13*l - 18. Let i be n(12). Let o be (14 + i)*(5 - 4). Solve 0 = 3*t - o*t for t.
0
Let b(g) = -2*g - 1. Let u be b(-3). Let l be (-4)/(-20)*(7 - 4 - 3). Suppose -w + l*v = v - 6, 0 = 3*w - u*v + 14. Solve 0*f + w = f for f.
2
Let i be (-4)/(((-36)/(-15))/(-3)). Let m be 0 + i - (-42)/(-21). Suppose 4*w - m*w = 0. Solve 2 = x - w for x.
2
Let p = -6 + 10. Suppose -p*n = 15*n. Solve n = -3*x + 5*x - 4 for x.
2
Let k = -15296 - -15296. Solve 30*q + 43 - 133 = k for q.
3
Let x(r) = 75*r + 2291. Let j be x(-30). Solve -23*s = j*s + 512 for s.
-8
Let s be -5 - 1288/(-2)*(-66)/88. Let i = s - -528. Solve -10*l = -0*l - i for l.
4
Suppose 111*o - 1179 = 107*o - 5*x, -2*x = 10. Solve -22*c = -65*c + o for c.
7
Let o be 11/13 + -1 - 55986/(-2418). Solve 3*l = -26 + o for l.
-1
Let w(l) be the first derivative of l**4/4 - 5*l**3 - 57*l**2/2 + 68*l + 18. Let r be w(18). Solve -12 = -20*y + r*y for y.
2
Let w(n) = -n**3 + 7*n**2 - 7*n - 1. Let u be w(6). Let q = u + 17. Solve -4*z + 18 - q = 0 for z.
2
Let z = 9663 + -9141. Solve -514*m = -z*m + 8 for m.
1
Suppose 3*a - 360 = -96. Suppose 49*d - 206 = a. Solve -d*f - 5 = 7 for f.
-2
Let y(z) = -417*z - 7084. Let r be y(-17). Solve r*v - 4853 = -4823 for v.
6
Let c = 683 - 663. Let h be -8*8/(-10 - -2). Solve h*n - c = 3*n for n.
4
Let l = 16146 + -16144. Solve l*d - d = 5*d for d.
0
Let g(t) = t**3 + 6*t**2 + 10*t + 10. Let p be g(-4). Let u be 6*p/3 - 2. Suppose 0 = -u*d - 75 + 83. Solve d*c + 1 = -11 for c.
-3
Suppose 2*w + 1126 = -5*b, 2*w = -b - w - 220. Let f = -218 - b. Solve 0 = 5*c + f + 7 for c.
-3
Let l = -8148 - -8264. Solve b + 28*b = l for b.
4
Let u(v) = 2*v**2 - 17*v - 55. Let p be u(11). Solve -2*c - 9*c - 55 = p for c.
-5
Suppose -5*w = 43*x - 44*x - 157, w - 173 = x. Let m = x + 184. Solve 8*o + 2 = m*o for o.
-2
Suppose -4*l + 2*x = -l - 154, -207 = -4*l + x. Let v(r) = -r**3 - 7*r**2 - 5*r - 22. Let a be v(-4). Let w = a + l. Solve 3 + w = i for i.
5
Suppose -5*q + 7*q = 10. Suppose y = -4*j + 1, -3*y - y + 4 = -q*j. Solve j = -0*i + 2*i + 6 for i.
-3
Let w(s) = 6*s**2 - 16*s. Let k be -1 + 15/9*3. Let i(c) = -17*c**2 + 48*c + 1. Let v(b) = k*i(b) + 11*w(b). Let j be v(8). Solve 0*p = j*p for p.
0
Let m be (-6)/((2340/182)/(-30)). Solve -38*a = -52*a - m for a.
-1
Let y(c) = -6*c**3 - 3*c**2 + 2*c - 5. Let g be y(-3). Let p = -120 + g. Solve 6*x - 2*x = p for x.
1
Let n = -2926 - -2938. Solve -99*s - n = -96*s for s.
-4
Suppose 5*s - 771 = -2*o, 5*o + 4*s - s - 1956 = 0. Let z = o + -384. Solve -z = 4*q + 7 for q.
-4
Suppose -4*a = 2*f - 18, -13 = -2*a - 9*f + 4*f. Solve 0 = u + a for u.
-4
Suppose -1487 = -16*b - 767. Solve -41 + b = v for v.
4
Let o be (-572)/(-8) - (-30)/20. Let j = 75 - o. Solve 0*i - j = i for i.
-2
Let w(p) = p**2 + 17*p + 32. Let z(k) = 3*k + 30. Let x be z(-15). Let t be w(x). Suppose -2*d + t = -4*q, -4*d + 3*q = 4*q - 13. Solve d + 1 = -2*r for r.
-2
Let k(v) = -4*v + 38. Let c be k(6). Let l be c + (0/13)/(3 - 2). Solve -5*h - 6 = l for h.
-4
Let n be 148/20 - (-3)/5. Let s = n - 8. Let c = 17 - 11. Solve c*j - j + 25 = s for j.
-5
Let r(b) = 195*b + 1572. Let v be r(-8). Solve v*g + 74 = 26 for g.
-4
Let p = 34 + -17. Let w(j) = 3*j**2 - 7*j + 2. Let y(g) = -3*g**2 + 7*g - 3. Let v(x) = -4*w(x) - 5*y(x). Let a be v(2). Solve p = -a*l - 8 for l.
-5
Let d(s) = -363*s + 8062. Let u be d(22). Solve -29*l - 76 = -u for l.
0
Suppose -5*x + 34 = 4*h - 42, -4*h = -x - 52. Solve -56*q - h = -42*q for q.
-1
Suppose -2*h = 18 - 24, -44 = -4*l + 4*h. Let d be (-5648)/(-144) - l - (-4)/(-18). Solve 0 = 28*m - d*m - 9 for m.
3
Let z = -12749 + 12761. Let g(j) = j + 1. Let b be g(1). Let a be 5 - b/(z/30). Solve 3*f + 2*f + 20 = a for f.
-4
Let g = 147148 + -147141. Let x(j) = -j**2 - 7*j + 6. Let z be x(-5). Solve g*c - z = 12 for c.
4
Let v = 2887 - 2882. Solve -104*k + 109*k = v for k.
|
{
"pile_set_name": "DM Mathematics"
}
|
ominator of -91/222 and 26.
222
What is the smallest common multiple of 198 and 6?
198
Calculate the smallest common multiple of 120 and 36.
360
Find the common denominator of -79/1462 and -49/860.
14620
What is the least common multiple of 40 and 105?
840
What is the lowest common multiple of 16 and 20?
80
What is the common denominator of -77/408 and 7/45?
6120
What is the lowest common multiple of 9780 and 1956?
9780
What is the smallest common multiple of 73 and 8?
584
Find the common denominator of -13/222 and 5/296.
888
What is the lowest common multiple of 3922 and 583?
43142
Calculate the lowest common multiple of 1575 and 945.
4725
Find the common denominator of 49/1450 and 81/290.
1450
What is the smallest common multiple of 138 and 414?
414
Calculate the common denominator of 37/122 and -10/7.
854
What is the common denominator of -13/399 and 8/1729?
5187
What is the common denominator of 1/15 and 101/6628?
99420
Calculate the common denominator of -79/30 and 52/15.
30
Calculate the smallest common multiple of 468 and 468.
468
What is the smallest common multiple of 90 and 15?
90
What is the common denominator of 121/720 and -59/7920?
7920
What is the smallest common multiple of 32 and 872?
3488
Calculate the lowest common multiple of 44 and 632.
6952
What is the common denominator of 13/9 and -155/132?
396
Find the common denominator of 89/240 and 71/4.
240
Find the common denominator of 42/115 and -99/100.
2300
Calculate the smallest common multiple of 286 and 11.
286
Find the common denominator of 5/7 and -14/923.
6461
What is the smallest common multiple of 16 and 564?
2256
What is the common denominator of 127/60 and 16/695?
8340
Calculate the lowest common multiple of 48 and 80.
240
What is the lowest common multiple of 1953 and 11?
21483
Calculate the least common multiple of 330 and 231.
2310
What is the smallest common multiple of 40 and 100?
200
Calculate the least common multiple of 176 and 44.
176
What is the lowest common multiple of 339 and 207?
23391
What is the lowest common multiple of 768 and 960?
3840
Find the common denominator of 55/994 and -75/1988.
1988
What is the common denominator of -31/24 and -32/3?
24
What is the common denominator of -71/54 and -5/27?
54
Find the common denominator of 31/20736 and 29/12.
20736
What is the common denominator of 5/4 and -67/17818?
35636
Calculate the common denominator of 45/62 and 50/7.
434
Calculate the least common multiple of 62 and 217.
434
Calculate the least common multiple of 6972 and 40.
69720
What is the lowest common multiple of 665 and 45?
5985
What is the least common multiple of 495 and 180?
1980
What is the common denominator of -67/375 and -29/21?
2625
Find the common denominator of 119/30 and 73/22.
330
Calculate the common denominator of -71/630 and -50/5229.
52290
What is the lowest common multiple of 483 and 147?
3381
Find the common denominator of -43/18 and 16/261.
522
Calculate the smallest common multiple of 842 and 22.
9262
Calculate the lowest common multiple of 6790 and 9506.
47530
Calculate the least common multiple of 10 and 535.
1070
Calculate the smallest common multiple of 112 and 28.
112
Calculate the common denominator of -49/1098 and -2/11.
12078
Find the common denominator of -36/385 and 18/605.
4235
What is the lowest common multiple of 6924 and 52?
90012
What is the lowest common multiple of 198 and 72?
792
What is the common denominator of 47/3654 and 115/252?
7308
Calculate the common denominator of -109/24 and 9/532.
3192
Calculate the lowest common multiple of 10 and 316.
1580
Calculate the common denominator of 67/10 and 25/1098.
5490
Calculate the common denominator of -19/72 and -2/27.
216
What is the lowest common multiple of 682 and 682?
682
Calculate the smallest common multiple of 4 and 632.
632
Calculate the common denominator of -87/1844 and 81/2.
1844
Calculate the smallest common multiple of 16222 and 10.
81110
What is the common denominator of -89/198 and -1/108?
1188
Find the common denominator of -40/9 and 13/66.
198
Find the common denominator of -151/648 and -77/1944.
1944
What is the lowest common multiple of 97 and 10?
970
What is the least common multiple of 16 and 14?
112
Calculate the least common multiple of 30 and 4632.
23160
Find the common denominator of -29/36 and -19/12.
36
Find the common denominator of 3/91 and -47/91.
91
What is the lowest common multiple of 15 and 40?
120
Find the common denominator of -71/711 and -31/553.
4977
What is the common denominator of -11/34 and -28/969?
1938
Calculate the lowest common multiple of 5 and 1600.
1600
Calculate the smallest common multiple of 4562 and 4.
9124
What is the common denominator of -91/5678 and 131/6?
17034
Calculate the smallest common multiple of 270 and 270.
270
What is the common denominator of -121/192 and -23/39?
2496
Calculate the lowest common multiple of 13559 and 3874.
27118
What is the common denominator of 101/1470 and 31/4?
2940
Calculate the common denominator of -7/458 and -115/18.
4122
Calculate the smallest common multiple of 87 and 116.
348
What is the smallest common multiple of 15 and 35?
105
What is the least common multiple of 8 and 1482?
5928
What is the least common multiple of 2872 and 32?
11488
Calculate the common denominator of 107/26 and -17/2.
26
What is the common denominator of 23/54 and -89/4?
108
What is the smallest common multiple of 60 and 8?
120
Calculate the common denominator of 42/2987 and 60/721.
20909
What is the lowest common multiple of 20 and 80?
80
What is the common denominator of 18/3481 and -8/11?
38291
Calculate the common denominator of 61/182 and -53/104.
728
Find the common denominator of -83/60 and 35/272.
4080
Calculate the common denominator of 79/140 and -62/133.
2660
What is the common denominator of -5/6 and -75/38?
114
Calculate the common denominator of 25/12 and 37/804.
804
What is the lowest common multiple of 27 and 9?
27
Calculate the lowest common multiple of 1500 and 40.
3000
Calculate the common denominator of 69/488 and 1/610.
2440
Find the common denominator of 19/40 and -7/96.
480
What is the lowest common multiple of 1340 and 50?
6700
What is the smallest common multiple of 10 and 3766?
18830
Calculate the common denominator of -85/88 and -115/132.
264
Calculate the least common multiple of 286 and 26.
286
Find the common denominator of 1/4 and 31/16.
16
Calculate the common denominator of -35/8 and 43/64.
64
Calculate the least common multiple of 4368 and 546.
4368
What is the smallest common multiple of 9 and 29?
261
Calculate the common denominator of -43/224 and -115/224.
224
Calculate the common denominator of -61/10 and 19/204.
1020
What is the lowest common multiple of 12 and 48?
48
What is the common denominator of 73/21 and -70/33?
231
What is the common denominator of 89/52 and 31/42?
1092
Find the common denominator of 46/55 and -179/330.
330
Find the common denominator of 12/25 and -81/50.
50
Find the common denominator of 49/20 and -107/14616.
73080
What is the least common multiple of 4524 and 6?
4524
Calculate the lowest common multiple of 333 and 14652.
14652
Find the
|
{
"pile_set_name": "DM Mathematics"
}
|
3
What is 40924 divided by -787?
-52
Divide 1135290 by 37843.
30
What is -528264 divided by -528264?
1
Divide 163348 by 194.
842
Calculate 1 divided by -1862631.
-1/1862631
616 divided by -19
-616/19
Calculate -3 divided by -423725.
3/423725
What is -11088 divided by -28?
396
Divide 37105 by 22.
37105/22
-8 divided by 315092
-2/78773
Calculate 2 divided by 40473.
2/40473
What is 504 divided by -14?
-36
Calculate 5020393 divided by 1.
5020393
Calculate -544079 divided by 43.
-12653
Calculate 10610 divided by 10610.
1
What is -33130 divided by 6626?
-5
21242290 divided by -2
-10621145
Calculate -312108 divided by -31.
10068
3 divided by -415572
-1/138524
What is 59 divided by 4236?
59/4236
What is 1408344 divided by -5656?
-249
-237734 divided by -5
237734/5
Calculate 137033 divided by 1.
137033
-627 divided by -13
627/13
-1627808 divided by -7
232544
Calculate -1550 divided by -62.
25
-1 divided by 10141
-1/10141
-95238 divided by -18
5291
What is -2501234 divided by -6?
1250617/3
161456 divided by 3
161456/3
Calculate 4 divided by 1679443.
4/1679443
What is 15 divided by 10894?
15/10894
-142360 divided by 142360
-1
Divide -70 by -597.
70/597
Divide -108460 by -986.
110
What is 2426424 divided by -6?
-404404
3 divided by -8044
-3/8044
Calculate -53 divided by 52.
-53/52
Divide 18306 by -3.
-6102
-243 divided by 213
-81/71
What is -1941238 divided by -2?
970619
Calculate 9975 divided by 7.
1425
Calculate -244650 divided by 1050.
-233
-2 divided by 6486
-1/3243
Divide -760884 by -1956.
389
Divide -3 by -1006734.
1/335578
Calculate -5359 divided by -10.
5359/10
Calculate 188600 divided by 1.
188600
15 divided by -8882
-15/8882
Divide -363 by -242.
3/2
Calculate 37810 divided by -199.
-190
What is -45378 divided by -22689?
2
Calculate -3532910 divided by -1.
3532910
Calculate 23958 divided by 33.
726
163 divided by 528
163/528
Divide -133267 by -1.
133267
7 divided by -35902
-7/35902
195642 divided by -3
-65214
-10 divided by 569
-10/569
Calculate -59349 divided by -4.
59349/4
What is 1 divided by 7731?
1/7731
2652093 divided by 884031
3
4 divided by -38035
-4/38035
What is -1389694 divided by 694847?
-2
Divide -5 by 49988.
-5/49988
Calculate 34236 divided by -8559.
-4
Divide -4 by -44212.
1/11053
Calculate 56770 divided by -5.
-11354
-28320 divided by -60
472
-110733 divided by -3
36911
1 divided by 516463
1/516463
What is -85335 divided by 5?
-17067
Divide 2973 by -5.
-2973/5
7818 divided by 3909
2
Divide 3 by 20236.
3/20236
3333 divided by -33
-101
21448 divided by 2681
8
Divide 775 by -537.
-775/537
Divide 105773 by 1.
105773
Calculate 5 divided by -58361.
-5/58361
Divide 12 by -9118.
-6/4559
Calculate 4653 divided by 3.
1551
Divide -21326 by -4.
10663/2
191739 divided by -10
-191739/10
Calculate 20004 divided by 11.
20004/11
What is -124500 divided by -31125?
4
Divide -29235 by 1.
-29235
Calculate 249460 divided by 49892.
5
Divide 65399 by 3847.
17
What is 5214 divided by -1?
-5214
Divide -89020 by -2.
44510
What is 97 divided by -17528?
-97/17528
What is -8148 divided by -28?
291
Divide -37145 by 17.
-2185
Divide -183685 by 85.
-2161
Divide -147436 by 4.
-36859
Divide 149106 by -24851.
-6
Calculate -7 divided by 17117.
-7/17117
Divide -44252 by -22126.
2
What is 8437 divided by -17?
-8437/17
Calculate -12 divided by 3969.
-4/1323
What is -236 divided by 10?
-118/5
What is -92244 divided by 92244?
-1
What is 2189 divided by 47?
2189/47
Calculate 130988 divided by -229.
-572
What is 250944 divided by -48?
-5228
What is 3525 divided by -10?
-705/2
Divide 939942 by 6.
156657
Calculate -1563714 divided by 3.
-521238
-177129 divided by 3
-59043
What is 192334 divided by -5?
-192334/5
What is 16 divided by 288?
1/18
Divide 48 by 7435.
48/7435
-8630 divided by -33
8630/33
What is 281025 divided by 3?
93675
Divide 132230 by 2.
66115
Divide -41468 by 2962.
-14
-6639 divided by -588
2213/196
1520 divided by -36
-380/9
Divide 44100 by 2205.
20
What is 16094 divided by -16094?
-1
Calculate -3 divided by 2406.
-1/802
-291947 divided by 6
-291947/6
Calculate 358918 divided by 51274.
7
Divide 202068 by -67356.
-3
Calculate -4632 divided by -7.
4632/7
-5292 divided by 1764
-3
Divide -67215 by -5.
13443
Divide -17799 by 6.
-5933/2
Calculate -1 divided by 164973.
-1/164973
355963 divided by 3
355963/3
Divide 8 by -11737.
-8/11737
What is 1 divided by -142276?
-1/142276
-734396 divided by -58
12662
Calculate 4 divided by 15284.
1/3821
Divide 88 by -18.
-44/9
-2 divided by -29291
2/29291
-66825 divided by 165
-405
Calculate -7367 divided by -9.
7367/9
What is 419415 divided by -1?
-419415
What is 87038 divided by 6?
43519/3
Divide 99576 by 3688.
27
Calculate -40 divided by 2423.
-40/2423
19 divided by -5496
-19/5496
Calculate 193609 divided by 689.
281
Calculate -8626 divided by 4.
-4313/2
What is 2 divided by 57546?
1/28773
Calculate -233576 divided by -43.
5432
138957 divided by 46319
3
Divide -129911 by -2.
129911/2
Divide 2172 by -68.
-543/17
What is -5056888 divided by -412?
12274
Calculate -4 divided by -11380.
1/2845
-5 divided by 17171
-5/17171
What is 49606 divided by -4?
-24803/2
Divide 91110 by -1.
-911
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to -1/2? (a) 0.2 (b) -0.1 (c) -11 (d) 2/11
b
What is the closest to 4 in -6, -0.5, -387?
-0.5
Which is the closest to 0? (a) 2/11 (b) 2 (c) -2201 (d) 1/2
a
What is the nearest to -0.1 in 108, -1.809, 1/2?
1/2
Which is the nearest to -1? (a) 0.2 (b) -612/5 (c) 0.3 (d) -0.5 (e) -2
d
Which is the nearest to 34? (a) 14/13 (b) 1 (c) 0.4 (d) 155 (e) 1/2
a
What is the closest to 16 in 0.5, -0.6, 5, -0.1?
5
What is the closest to 1 in 15, -5, -4/4547, -0.5?
-4/4547
What is the closest to -0.1 in -293/5, 1, 0.1, -94?
0.1
Which is the nearest to -2.2? (a) 0.4 (b) 0.11 (c) 2/13 (d) 0.1
d
What is the nearest to -1 in 1.4, -6/151, -1/4?
-1/4
What is the nearest to 0.9 in 351, -3, -0.1?
-0.1
Which is the nearest to 4? (a) -0.5 (b) -2/7 (c) 3.5 (d) -0.1
c
Which is the nearest to 0.4? (a) 3 (b) -490 (c) -1/2 (d) 1
d
What is the nearest to 2 in 0.1, 9/7, -0.5, 5, -3/8?
9/7
Which is the closest to -0.1? (a) 50/3 (b) -1/3 (c) 2/65
c
What is the closest to 1/3 in 0.57, 0.3, -56.864?
0.3
What is the closest to 9 in -5, 3/7, 0.3, 0.5?
0.5
What is the closest to 0 in 516458, 5, 0.5?
0.5
Which is the closest to 2? (a) -49 (b) -89.5 (c) 4 (d) -0.3 (e) 5
c
Which is the closest to 1.362? (a) 0.5 (b) 4 (c) 4/11
a
What is the closest to 74 in -0.08, 4, 0.08?
4
What is the nearest to -1/9 in 1/254, 4, -4, 2/15?
1/254
Which is the nearest to 0? (a) -1/2 (b) 7/12 (c) 9 (d) 0
d
Which is the nearest to -3/382? (a) -0.09 (b) -1/4 (c) 0 (d) -0.1 (e) 0.4
c
What is the closest to 0.22 in 0.4, 735, 9/4, -0.2?
0.4
What is the nearest to -0.2 in 16, -2/11, -0.32?
-2/11
Which is the nearest to -14/9? (a) 8 (b) -1/6 (c) 196
b
Which is the nearest to -0.3? (a) -5 (b) -3 (c) -4 (d) -405 (e) 3/4
e
What is the nearest to 12/17 in 4, 2/5, 14493?
2/5
What is the closest to -2/7 in 148, -0.5, 27?
-0.5
Which is the closest to 6? (a) 932 (b) 2 (c) -4 (d) -2 (e) -1/4
b
What is the nearest to 0.043322 in 0.5, 0.4, 7, 0.2?
0.2
Which is the closest to -47/6? (a) 1/3 (b) -2 (c) -0.4
b
Which is the nearest to -0.03? (a) -7 (b) -2 (c) 53/6
b
What is the closest to 11 in 0, 35, 3, -3?
3
Which is the closest to 2/1281? (a) 5 (b) -1 (c) 1/10 (d) 0.4
c
Which is the nearest to 1/6? (a) 1 (b) 8/2283 (c) 0.4
b
Which is the closest to 0.1? (a) 428 (b) -795 (c) -1
c
Which is the closest to -100? (a) -0.2 (b) 2/3 (c) -0.32
c
Which is the nearest to 0.2? (a) 30 (b) 0.5 (c) 5 (d) -7/2
b
Which is the nearest to 0.1? (a) -4 (b) 4421 (c) 7
a
Which is the closest to -36? (a) 14/41 (b) 2 (c) -4 (d) 5/4
c
Which is the closest to 46? (a) -3 (b) 2/71 (c) 10
c
Which is the closest to 0? (a) -3/2 (b) -4 (c) -112 (d) -3 (e) -125
a
What is the nearest to -542/3 in 4, -2, -2/9?
-2
Which is the closest to 5? (a) -3 (b) -0.2 (c) 133.6
b
What is the nearest to -0.2 in -10/19, 0.3, -6?
-10/19
Which is the closest to 0.1? (a) -0.3 (b) 0.03 (c) 37297
b
What is the nearest to 1/5 in -11, 2/25, 0.8, 2?
2/25
What is the closest to 0.1 in -1.3, 4, -0.2, -6/11, 53?
-0.2
Which is the closest to 266? (a) -2 (b) -3/31 (c) 0.3
c
Which is the closest to 199? (a) -1/5 (b) -1/3 (c) -2/15 (d) 1/4 (e) -0.3
d
What is the nearest to 0 in 2, 9, 0.3, 26, -4.75?
0.3
Which is the nearest to -1/3? (a) -0.6 (b) -0.1 (c) 1/2478
b
Which is the closest to 0.02? (a) 11/2 (b) 9 (c) -2.3 (d) 4 (e) -0.1
e
What is the nearest to 4 in -0.13, -0.1, -20?
-0.1
What is the nearest to 0.9 in -0.2, -69, -8/5, -1/2?
-0.2
Which is the nearest to -25? (a) 1.38 (b) -28 (c) -0.4
b
What is the nearest to 2/7 in -0.01, -0.4, 0.002, 0.3?
0.3
What is the closest to -0.1 in -0.070345, -2, -4, 5?
-0.070345
Which is the nearest to -4/73? (a) -2/7 (b) 2/7 (c) -2/17 (d) -3 (e) -1
c
Which is the nearest to -5/2? (a) 1/6 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
-35*b**2 + 61*b**2 + 36*b**2).
-124*b**3
Expand -118*j + 118*j + 5*j**2 + (j + 3 - 3)*(0*j + j - 2*j) - 2*j**2 + j**2 + 2*j**2 + 2 - 2 + j**2.
6*j**2
Expand (2*g + 0*g + g)*(-6*g**3 + 0*g**4 - 7*g**4 + 8*g**4).
3*g**5 - 18*g**4
Expand (-54*y - 2 - 11*y - 7*y)*(-2 + 2 - y).
72*y**2 + 2*y
Expand (-2*m - 14*m - 3*m)*(-2*m**3 + 0*m**3 + 2*m**2 + 1 + 0).
38*m**4 - 38*m**3 - 19*m
Expand (0*a**2 - 2*a**2 + 3*a**2 + (a - a - 2*a)*(-1 + 1 - 2*a) - 18*a**2 + 81 - 81)*(-4*a + 2*a + a).
13*a**3
Expand -1 - 2*d + 1 + 0*d + d - 3*d + (2*d + d - 6*d)*(3 - 1 + 0) + 0*d + 2*d - 3*d.
-11*d
Expand (-2 + 1 + 3)*(-3*k + 0 + 0) - 2*k - 2*k + 3*k - 1.
-7*k - 1
Expand -65*i**2 - 11*i**2 + 5*i**2 + (-i + 2*i - 3*i)*(2*i - 3*i - i) + 1 - i**2 - 1.
-68*i**2
Expand -b + 4*b - 4*b + (-4 + 2 + 4)*(4*b - b - 2*b) + 3*b - 2*b + 2*b.
4*b
Expand (0*x + x**2 + 0*x)*(83 + 17*x - 83)*(4*x + 0*x - 2*x).
34*x**4
Expand (-2*f - f + 4*f)*(f**2 - 20*f**3 - f**2).
-20*f**4
Expand 0*g - g**3 + 0*g + 3*g - 3*g + 2*g**3 + (-2*g + 3 - 3)*(-g**2 + g**2 - g**2) - g**3 + 5*g - 5*g.
2*g**3
Expand (-u**3 + 0*u**3 + 6*u**3)*(10*u - 1 - 3*u - 5*u).
10*u**4 - 5*u**3
Expand ((d + d + 0*d)*(-d**2 - 2*d**2 + d**2) - 73 - 71*d**3 + 20*d**3 + 75)*(-3 + 3 + d**2).
-55*d**5 + 2*d**2
Expand (3*x - 3*x - x)*((4 + 2 - 7)*(-2 - 1 - 1) + 2 + 3 - 4 + 0 - 1 + 2) + (x - x + x)*(-2 - 2 + 2) + (3 - 2 + 1)*(0*x + 2*x + 0*x) - 2*x - 1 + 1.
-6*x
Expand (-3 - 1 + 3)*(-4*t**3 + 3*t**3 + 4*t - 3*t).
t**3 - t
Expand (-1 + 5 - 5)*(-2 + u**2 + u**2 + 3).
-2*u**2 - 1
Expand (-t + 4*t - t)*(8 - 4 - 1) + (5*t - 2*t - t)*(3 - 5 - 2).
-2*t
Expand (-4 + 3 + 0)*(-2 - 2*g + 2)*(18*g**3 + 11*g**3 - 10*g**3).
38*g**4
Expand -4*n + 0*n + 5*n + (2 + 1 - 5)*(2 + 2*n - 2) - 2*n - n + n - n + 3*n - n - n + 3*n - n - 2 - 3*n + 2 + (2*n + 0*n - 3*n)*(1 + 2 - 1).
-8*n
Expand (0 + 2 - 3)*(-2*m + 2*m - 2*m)*(1 + 0 - 4)*(0 + 0 + 2).
-12*m
Expand (1 - 6 + 2)*(-9*w + 5*w - 2*w).
18*w
Expand (17 - 3 + 4)*(-3*g + 3*g + 3*g).
54*g
Expand 2*n + 0*n**5 - 4*n**5 + 3*n**5 - 2 + (-n + 2*n - 7*n)*(0*n**4 - 2*n**4 + 0*n**4).
11*n**5 + 2*n - 2
Expand -4*i**3 + 2*i**3 - i**3 - 4*i + 4*i - 2*i**3 + (-2*i**2 - i**2 + 2*i**2)*(2*i + 2*i - 3*i) + 0*i**2 + 2*i**3 + 0*i**2.
-4*i**3
Expand (-4*n + 2*n - 5*n)*(3*n + 0*n - 6*n)*(0*n + n + 0*n)*(-1 + 5 - 2).
42*n**3
Expand (-4*x + 2*x + x + (6 - 1 - 3)*(0*x + 0*x + 2*x) + 3 - 3 + x + 2*x - 6*x + 2*x + 1 + 3*x - 1)*(-72 + 72 + 6*x**2).
30*x**3
Expand (3 - 2 - 3)*(41*q - 20*q - 70*q).
98*q
Expand (3*f - 5*f - 3*f)*(4*f - 4*f - 2*f) - f**2 - 3 + 3 + (f - f + f)*(-f + 0*f + 0*f) - 4*f**2 + 2*f**2 + 0*f**2.
6*f**2
Expand (-w**4 - w**4 - 3*w**4)*(3 + 1 + 0*w + w).
-5*w**5 - 20*w**4
Expand -2*i - 4 + 4 + (-2*i + i + 0*i)*(0 + 3 - 1) - 1 - 5*i + 1 + (-3 + 3 - 2)*(4 - 4 - 2*i) + 2 - 2 - 2*i - i + 0*i - i.
-9*i
Expand (11 - 5 + 8)*(-5*m - m + 3*m).
-42*m
Expand (3 - 4 - 3)*(-6*z + 3*z + z + 2*z**2 + 1).
-8*z**2 + 8*z - 4
Expand (-1 + 3 - 11)*(-c**4 - 2*c**4 + 4*c**4).
-9*c**4
Expand (45 - 60 - f**4 - 4*f**4)*(3*f - 3*f - f).
5*f**5 + 15*f
Expand (3*g**2 - 12*g + 12*g + (0*g + 0*g - 2*g**2)*(1 - 2 - 1))*(g - 3 + 3).
7*g**3
Expand (7*p**3 - 88 + 88 + 4*p**3 - 4*p**3 - p**3 + (4*p + 2*p**2 - 4*p)*(p + 0*p + 0*p) + p**3 - 3*p**3 + 3*p**3 + p**3 - 2*p**3 + 3*p**3)*(2*p**2 - 2 + 2).
22*p**5
Expand 3 - 3 - 3*k**2 + ((k - k + 2*k)*(3 - 1 - 4) + 1 + k - 1)*(-2*k + 4*k - 6*k).
9*k**2
Expand (3 - 1 - 4 + (1 - 1 - 2)*(-5 + 2 - 14))*(0*g + g - 3*g) - 2 + 2 + g.
-63*g
Expand (-1 + 4 - 2)*(-4*p + p + 6*p
|
{
"pile_set_name": "DM Mathematics"
}
|
))/k*-57 is divided by v?
5
Let g(c) = c**2 + 2*c - 2. What is the remainder when 304/6 + 0 + 1/3 is divided by g(3)?
12
Let h(l) = 7*l - 1. Let s be (6/3 + 0)/2. Let t be h(s). Calculate the remainder when ((-16)/t)/((-3)/36) is divided by 11.
10
Let a = -3 - -3. Let m(u) = 4*u - 1 - 1 + a. What is the remainder when 18 is divided by m(3)?
8
Suppose -3*u + t - 3 = -39, 3*t = 0. Calculate the remainder when 23 is divided by u.
11
Let f = -9 - -8. Suppose 4*r - 86 = -2. What is the remainder when (r - 1) + (f - -3) is divided by 8?
6
Let s = 0 - 0. Suppose t - 36 - 4 = s. Calculate the remainder when t is divided by 14.
12
Let d(q) = -q**3 - 18*q**2 - 17*q + 8. What is the remainder when 23 is divided by d(-17)?
7
Suppose -3*c = 2*r - 123, 2*r - 6*r + c + 267 = 0. Calculate the remainder when r is divided by 17.
15
Let n = 18 + -9. Suppose 4*c = -3*x + 43, 0*x - x = c - 12. Let w(t) = -t**3 + 8*t**2 - 2*t - 9. What is the remainder when w(c) is divided by n?
8
Let n = 11 - 8. Suppose v - n*v = -76. Calculate the remainder when v is divided by 20.
18
Let m(s) = 24*s**3 + s**2 - s + 1. Suppose -29 = q - 42. What is the remainder when m(1) is divided by q?
12
Suppose 2*o = 3*o - 42. What is the remainder when 207 is divided by o?
39
What is the remainder when 21 is divided by ((-2)/4)/(13/(-156))?
3
Suppose 1 = -2*p + 11. Suppose q + 5*k + 8 = 1, -3*q = -5*k - 19. Let c = p - q. What is the remainder when c is divided by 2?
0
What is the remainder when 57 is divided by ((-203)/28)/((-1)/4)?
28
Let v(i) = i**3 - 7*i**2 - 5*i - 15. What is the remainder when 22 is divided by v(8)?
4
Let l = 11 + -8. Suppose -9 + 24 = l*o. Calculate the remainder when 8 is divided by o.
3
Suppose 5*p = 10, -2*m + 3*p + 18 = -2. Suppose 4*t - 62 = -y + 3*y, 0 = 5*t + y - 74. Calculate the remainder when 370/t + 2/6 is divided by m.
12
Suppose 2*r - 39 - 87 = 0. Calculate the remainder when r is divided by 8.
7
Suppose -2*q = -23 - 5. Calculate the remainder when 53 is divided by q.
11
Let w(x) = -x**2 - 23*x + 26. Calculate the remainder when 126 is divided by w(-23).
22
Suppose r + 77 = 89. What is the remainder when r is divided by 12?
0
Suppose 9 + 32 = x. Let u = -20 + x. Calculate the remainder when u is divided by 11.
10
Let u(h) = -h**2 - 2*h - 3 + 7*h + 9 + 3*h. Let o be u(-7). Let r = 145 + o. What is the remainder when r is divided by 16?
14
Suppose 9*b + 19 = 10*b. What is the remainder when b is divided by 10?
9
Let v(r) = r**2 + 7*r + 4. Let u be v(-7). Suppose -u*n - 145 = -9*n. Calculate the remainder when n is divided by 38/5 - (-6)/15.
5
Suppose -6 = -b + y, -2*b + y + 0*y = -13. Let r(n) = -n**3 + 3*n**2 - 1. What is the remainder when r(-2) is divided by b?
5
Suppose -2*l - 14 = -2*a - 2*a, 0 = 4*a + 4. Let m = 2 + l. What is the remainder when 28 is divided by (10/(-3))/(m/21)?
8
Suppose 2*t - 8 = 4. Suppose -m + t = m. What is the remainder when 3 is divided by m?
0
Let z(k) = k**2 + k - 1. What is the remainder when z(3) is divided by 6?
5
Let t = -128 - -250. Suppose -115 = -5*x - 5*j, 3*x = -x + 2*j + t. Calculate the remainder when x is divided by 10.
8
Let c = 184 + -100. What is the remainder when c is divided by 43?
41
Suppose 5*n - 4*n = 0. Suppose n = 7*y - 8*y + 9. What is the remainder when 24 is divided by y?
6
Suppose -3*v = -3*y + 12, -2*v = -4*y + 13 + 3. Let u(d) = 3 - 2*d + 6*d - 9*d**2 + y*d**2 - d**3 - 2. Calculate the remainder when u(-6) is divided by 5.
3
Let h = 8 + 25. Suppose 0*n - n + h = 0. Calculate the remainder when n is divided by 12.
9
What is the remainder when 53 is divided by 27/4 - (-9)/36?
4
Let w(a) = 3*a**2 + 6*a + 6. Calculate the remainder when w(-5) is divided by 18.
15
Let a(r) = -r**3 + 14*r**2 + 16*r - 18. Let s be a(15). Let c(x) = -x**2 + 6*x + 7. Calculate the remainder when 96/(-1 + 5) - s is divided by c(6).
6
Let s = 0 + 0. Suppose s*n - 8 = -n. Let l = 6 + 17. What is the remainder when l is divided by n?
7
Suppose -2*o + 105 = 35. Calculate the remainder when o is divided by -3*(-4)/((-4)/(-3)).
8
Suppose -3*q + 3 = 2*h + 38, 2*h - 3*q = -5. Let a = 23 + h. What is the remainder when ((-8)/(-20))/(1/60) is divided by a?
11
Suppose t + 5*z = -29, -5*t - 11 - 42 = 2*z. Let v = -5 - t. Suppose -3*j - 32 - 50 = -v*o, -5*j + 28 = 2*o. What is the remainder when o is divided by 7?
5
Let i(q) = q**3 - 4*q**2 + 3*q + 1. Let r(h) = -1 + h - 10 + 1. What is the remainder when r(11) is divided by i(3)?
0
Let i be (-2 - -3)*9 + -1. Let m = i + 7. What is the remainder when (84/10)/((-3)/(-10)) is divided by m?
13
Let y = -6 + 8. Suppose -5*o = -y*x - 33, 21 = 4*o + o + x. Suppose -a + o = -0. What is the remainder when a is divided by 3?
2
Let j(s) be the second derivative of -s**4/12 - 3*s**3 - 5*s**2 + 4*s. Calculate the remainder when j(-12) is divided by 13.
10
Let i(b) = -3*b**3 + b - 9. Let g(h) = -h**3 + h**2 - h - 1. Let r(f) = -4*g(f) + i(f). What is the remainder when r(5) is divided by 12?
9
Suppose 0 = -4*i + 60 + 80. Let p = -41 + 59. What is the remainder when i is divided by p?
17
Suppose 5*o = 485 - 115. Let h = 3 + 16. Calculate the remainder when o is divided by h.
17
Let f(u) = 5*u**2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
+ g + 0*g)).
-16*g**5
Expand (0 - 3 + 6)*((-1 + 1 - 2)*(-1 + 1 + 2*a) + (7*a - 9*a + 0*a)*(-2 + 0 + 3)*(0 - 1 + 6)).
-42*a
Expand (-6*g - 4*g + 22*g)*(5 + 0 + 2).
84*g
Expand (0*o + 0*o - 7*o**2)*(-3 + 4 + 1)*(-2*o + 0*o + o) + 0*o**3 + 2*o**3 - o**3 + (o - o - o)*(o**2 - 4*o**2 + o**2) - 3*o**3 + 2*o**3 + 2*o**3.
18*o**3
Expand (0*v + v - 3*v)*(-2 + 4 - 6)*(-6*v**3 + 3*v**3 - 43*v**3).
-368*v**4
Expand (-j + j - 5*j**4)*(-6*j + 114 - 114).
30*j**5
Expand (o - 2*o - o)*(0 + o + 0) + 0 + 0 - 2*o**2 - 11*o**2 + 0*o**2 + 3*o + o.
-15*o**2 + 4*o
Expand (-1117*t - 217 + 57 + 1116*t)*(0 + 0 + t).
-t**2 - 160*t
Expand (0 + 0 - 5)*(b**2 + b**2 + b**2)*(-6*b + 4*b - 5*b).
105*b**3
Expand -3 - 3 + l + 3*l**5 + 5 + (l**2 + l**3 - l**2)*(96*l**2 + 28*l**2 + 229*l**2).
356*l**5 + l - 1
Expand (503*f - 99831 - 1523*f + 99831)*(-2*f + 0*f + f).
1020*f**2
Expand (2*w + w - 5*w)*(-w**2 + 2*w**2 + 0*w**2) + 2 - 2 - 2*w**3 - 23*w + 2*w**3 - 13449*w**2 + 13449*w**2.
-2*w**3 - 23*w
Expand (-2*q**2 - 2*q**2 - 4*q**2)*(15 - 32 - 26).
344*q**2
Expand (-1 + 5 + 2)*(0 + 1 - 3)*(4*s - 3*s + s) + 39*s - 44*s - 25*s.
-54*s
Expand 5*n - 5*n - 8*n - 2*n + 11*n + 3*n - 5*n + 5*n + n + (n - n + 2*n)*(-1 - 1 + 1) - 2*n + 0*n + 0*n.
n
Expand d**2 + 0*d**2 - 3*d**2 + (3*d - d + 0*d)*(-2*d + 2*d - 2*d) - d**2 + 3*d**2 - d**2 + (-31 + 31 - 11*d)*(0*d + 3*d + 0*d) - 5*d - 2*d**2 + 5*d.
-40*d**2
Expand (-5 + 2 - 2)*(13 - 5 + 26)*(2*x + 1 - 1).
-340*x
Expand (4*v + 7 - 7 + (-4 + 1 + 5)*(0*v + 3*v - v))*(-35 + 35 - 15*v).
-120*v**2
Expand (d - 4*d + d)*(39*d - 3*d + 29*d)*(-5*d + 3*d + d).
130*d**3
Expand (-26 + 8*f + 26)*(-10 - 19 + 5).
-192*f
Expand -o**3 + 3*o**3 + 0*o**3 + (3*o**2 + 3*o**3 - 3*o**2)*(9 + 8 + 5).
68*o**3
Expand -52*b**4 + 1549*b - 1549*b + (-b + 0*b + 2*b)*(-2*b + b**3 + 2*b).
-51*b**4
Expand (62 + 59 - 15)*(2*c**3 - 2*c**3 - 2*c**5).
-212*c**5
Expand 0*o**2 - o**4 + 0*o**2 + (31*o**2 - 14*o**2 - 4*o**2)*(3*o**2 + 3*o**2 - 7*o**2) + 4*o**4 + 0*o**4 - 6*o**4.
-16*o**4
Expand (0*n**3 - 2*n**3 + 0*n**3)*(2 - 5*n - 2) - 2*n**4 + 4*n**4 - 4*n**4 + (-n + n + 2*n)*(-78 + 78 + 61*n**3) + 1 - 1 + n**4.
131*n**4
Expand (-224*n - 349*n + 301*n - 439*n)*(4*n + 3*n - 5*n).
-1422*n**2
Expand (1 - 3 + 8)*(0*l + 13*l + 11*l).
144*l
Expand (16*j + 38 - 8*j - 7*j)*(j + 0*j + 0*j).
j**2 + 38*j
Expand ((2 + 5 - 2)*(1 - 5 + 3) + 3 - 4 + 3 - 5 + 3 + 1)*(-16*b + 4*b - b)*(-2*b**4 + b**4 - 2*b**4).
-156*b**5
Expand -2*d**3 + 1 - 1 + (d + 0*d + 0*d)*(-2*d**2 - 2*d**2 + 2*d**2) + (-8*d**3 - 14*d**3 - 5*d**3)*(1 + 0 - 3) + d**3 - 4*d**3 + 4*d**3.
51*d**3
Expand -2*o - o**4 + 2*o - 2*o**4 - 3*o**4 + 3*o**4 + (2 - 6 + 3)*(9*o**4 - 7 + 7).
-12*o**4
Expand (-2*h**2 + 4*h**2 - 4*h**2)*(0 + 3 - 4) - 13*h**2 - 1 + 37*h**2 - 18*h**2.
8*h**2 - 1
Expand 2*f**3 - 64*f + 64*f - 3*f**3 + 5*f**3 - 4*f**3 + (3*f - 3*f + f)*(0*f**2 - f**2 + 2*f**2).
f**3
Expand -23*g + 42 - 42 + (-1 - 4 + 2)*(6*g + 12 - 12).
-41*g
Expand (368*g**3 + 24*g**4 - 368*g**3)*(2*g - 7*g + 21*g).
384*g**5
Expand (-2*m**2 - 1 + 1)*(-m - 1 + 1) - 51 - 52*m**3 + 51 - 97 + 14*m**3 + 97 + (2 - 2 - 2*m)*(-5*m**2 + 2*m**2 + 4*m**2).
-38*m**3
Expand (0*p + 3*p - p)*(-2*p + 5*p - p) - 183*p**2 - 42*p - 54*p**2 + 40*p.
-233*p**2 - 2*p
Expand (-2 + 0 + 0)*(92*f - 50*f - 45*f + 31).
6*f - 62
Expand 2*d**2 - 4*d**2 + 4*d**2 + (-72 - 86 + 21)*(-3*d**2 + 2*d**2 + 0*d**2).
139*d**2
Expand (-3 + 0 + 4)*(-2*y**5 + 4*y**3 - 4*y**3) - 2*y**5 + 0*y**3 + 0*y**3 - 6297*y + 64*y**5 + 67*y**5 + 6302*y.
127*y**5 + 5*y
Expand (-110*w + 109*w - 15 + 3)*((w - 1 + 1)*(0*w**3 - w**3 - w
|
{
"pile_set_name": "DM Mathematics"
}
|
s + 0*s**2 + 80*s + 3*s**2 - 6*s**2.
-3*s**2
Collect the terms in -157*r - 4*r**2 + 157*r + 3*r**2.
-r**2
Collect the terms in -68*r**2 + 215*r**2 - 67*r**2 - 71*r**2.
9*r**2
Collect the terms in 16*k**3 + 5*k**3 - 25*k**3 + 6*k**3.
2*k**3
Collect the terms in -1 - 236*c**2 + 231*c**2 + 1.
-5*c**2
Collect the terms in -10*g + 35130 - 35130.
-10*g
Collect the terms in -14*f**3 + 9*f**3 + 0*f**3 + 2*f**3.
-3*f**3
Collect the terms in -8*o**2 - 53*o**2 + 17*o**2 + 12*o**2 + 2.
-32*o**2 + 2
Collect the terms in 1610 - 1610 - 7*z.
-7*z
Collect the terms in 3*q**2 - 33 - 36 + 69.
3*q**2
Collect the terms in 0 - 13*h**2 + 1 - 1.
-13*h**2
Collect the terms in -27*j**2 + 16*j**2 + 8*j**2.
-3*j**2
Collect the terms in -8*h**3 - 877947*h**2 + 877947*h**2.
-8*h**3
Collect the terms in 93*k**2 - 44*k**2 - 51*k**2.
-2*k**2
Collect the terms in 18*x**3 + 2*x - 50 - 2*x + 50.
18*x**3
Collect the terms in 1 - 1 - 72*s**3 + 151*s + 71*s**3.
-s**3 + 151*s
Collect the terms in -14*k**2 - 6*k**3 + 14*k**2.
-6*k**3
Collect the terms in -577 + 251 + 2*g**2 + 326.
2*g**2
Collect the terms in -31*x - 96*x - 44*x.
-171*x
Collect the terms in -7 - 2 + 4*v**2 + 3.
4*v**2 - 6
Collect the terms in 338*z + 0*z**3 - 4*z**3 - 338*z.
-4*z**3
Collect the terms in 6*m + 3*m**3 + 2*m - 8*m.
3*m**3
Collect the terms in 21 + 30 + 24 + x**2 - 75.
x**2
Collect the terms in 7 + 32*s - 20*s - 34*s.
-22*s + 7
Collect the terms in -13 + 13 + 71*k - 45*k.
26*k
Collect the terms in -21*n**2 + 1072*n - 1072*n.
-21*n**2
Collect the terms in -8*s + s**2 + 8*s.
s**2
Collect the terms in -v**2 + 2*v**2 - 2*v**2 + 3*v**2.
2*v**2
Collect the terms in 717*t**3 + 6*t - 6*t.
717*t**3
Collect the terms in -52*j - 9 + 50*j + 1.
-2*j - 8
Collect the terms in 355*q**3 - 716*q**3 + 359*q**3.
-2*q**3
Collect the terms in -8*d**3 + 7 - 10*d**3 - 16*d**3 + 32*d**3.
-2*d**3 + 7
Collect the terms in 23*b - 4*b + 9*b.
28*b
Collect the terms in -21*o**3 - 24*o**3 + 56*o**3 - 21*o**3.
-10*o**3
Collect the terms in u - 84*u**3 + 13*u**3 + 3*u.
-71*u**3 + 4*u
Collect the terms in 1 + 5*w**2 - 5 + 4.
5*w**2
Collect the terms in 4 - 18*i**3 + 11*i**3 + i**3.
-6*i**3 + 4
Collect the terms in -49*n**3 + 95*n**3 - 50*n**3.
-4*n**3
Collect the terms in -2*t**3 - 12*t**3 + 19*t**3.
5*t**3
Collect the terms in 0*y - 286 + 286 + 0*y - 11*y**2.
-11*y**2
Collect the terms in 3*v**3 - 4*v**3 - 3*v**3.
-4*v**3
Collect the terms in 2*r - 2*r + 9073*r**2 - 9079*r**2.
-6*r**2
Collect the terms in 62*s - 58*s**2 - 62*s.
-58*s**2
Collect the terms in 20*h**3 - 5*h**3 + h**2 + 25*h**3.
40*h**3 + h**2
Collect the terms in 1 - 81*o + 155*o - 1.
74*o
Collect the terms in -105*y - 119*y + 223*y.
-y
Collect the terms in 0 + 0 - 174*f - 182*f + 358*f.
2*f
Collect the terms in -w - 2*w + w - 7*w.
-9*w
Collect the terms in 8*v**2 + 27*v**3 - 18*v**2 + 4*v**3.
31*v**3 - 10*v**2
Collect the terms in 4*h**2 - 4*h**2 + 18*h**2 + 4*h**2.
22*h**2
Collect the terms in -24*q + 14*q + 14*q.
4*q
Collect the terms in 4*n**2 - 5811 + 5811 + 2*n - 2*n.
4*n**2
Collect the terms in 63*y**3 - 6*y**2 - 25*y**3 + 6*y**2.
38*y**3
Collect the terms in -14*d + 2 + 13*d + 12*d + 22*d.
33*d + 2
Collect the terms in -531*o**2 - 531*o**2 - 535*o**2 + 1600*o**2.
3*o**2
Collect the terms in -9*c + 4*c**2 + 3*c**2 - 9*c + 18*c.
7*c**2
Collect the terms in -19*g**3 - 8*g**3 + 5*g**3.
-22*g**3
Collect the terms in -8 + 4 + 10*x**3 + 4.
10*x**3
Collect the terms in 5*b + b - 10 + 10.
6*b
Collect the terms in -174 + 4*p + 135 - p.
3*p - 39
Collect the terms in 2*y - 3*y**2 + 0*y - 3*y.
-3*y**2 - y
Collect the terms in 12*v - v - 4*v + 5*v.
12*v
Collect the terms in 85*p**2 - 46*p**2 - 24*p**2.
15*p**2
Collect the terms in -30*k - 6 + 1 + 5.
-30*k
Collect the terms in 8*d - 25*d + 9*d + 4*d.
-4*d
Collect the terms in -40066*x**3 + 3 - 3 + 40065*x**3.
-x**3
Collect the terms in z - 51*z**2 - 43*z**2 - z.
-94*z**2
Collect the terms in 0*q**2 + 8*q + 46*q**2 - 4*q - 2*q.
46*q**2 + 2*q
Collect the terms in -1164*i**3 + 1 + 1166*i**3 - 1.
2*i**3
Collect the terms in -p - 8 + 3*p + p.
3*p - 8
Collect the terms in 12*m**2 - 16*m**2 - 43*m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
7*b - 3*b**3 + 17*b + 2*b**3.
-b**3
Collect the terms in k**2 - 3*k**2 + 8*k**2.
6*k**2
Collect the terms in -50 + 50 - 3*h.
-3*h
Collect the terms in -22*s**2 - 19*s**2 - 3 + 3 + 38*s**2.
-3*s**2
Collect the terms in -1120*d**2 + 560*d**2 + 559*d**2.
-d**2
Collect the terms in 1084*a + 18 - 1085*a - 18.
-a
Collect the terms in 33*k**3 + 65 - 65.
33*k**3
Collect the terms in 20*f**3 + 34*f**3 + 13*f**3.
67*f**3
Collect the terms in 26*b - 4 - 5*b + 6 - 2.
21*b
Collect the terms in -2*p + 72646 - 72646.
-2*p
Collect the terms in -5*u + 8*u - u.
2*u
Collect the terms in -123*n + 60*n + 66*n - 2*n**3.
-2*n**3 + 3*n
Collect the terms in t**2 - 6*t**2 + 7*t**2 + 34*t**3 - 10*t**3.
24*t**3 + 2*t**2
Collect the terms in -7*n**3 - 8*n**3 + 18*n**3 - 16*n**2.
3*n**3 - 16*n**2
Collect the terms in -53*l**2 + 73*l**2 - 37*l**2.
-17*l**2
Collect the terms in -3 + 207*u + 337*u + 3.
544*u
Collect the terms in -5 + 5 + 9*a**2 - 19*a**2 + 12*a**2.
2*a**2
Collect the terms in 9*k**3 + 26*k**3 - 9*k**3 - k + 5*k**3.
31*k**3 - k
Collect the terms in -4*h**3 - 8*h**3 - 11*h + 2*h**3.
-10*h**3 - 11*h
Collect the terms in 2*m**3 + 122 - 122.
2*m**3
Collect the terms in 4*b**3 - 32*b**3 - 12*b**3.
-40*b**3
Collect the terms in 332*j - 205*j - 128*j.
-j
Collect the terms in 4*m**3 + 4*m**3 + 4*m**3 + 0*m**3.
12*m**3
Collect the terms in -7*v**3 + 5*v**3 - 12*v**3.
-14*v**3
Collect the terms in 3 + 18*j - 3.
18*j
Collect the terms in -25*y + 25*y - 76*y.
-76*y
Collect the terms in b - b - 103*b**2 - 66*b**2.
-169*b**2
Collect the terms in 5*b**2 - 2*b**2 - b**2 - 13*b**2 + 10*b**2.
-b**2
Collect the terms in -2*p - 2*p + p.
-3*p
Collect the terms in 5*o**3 - 2*o**3 + o**3.
4*o**3
Collect the terms in 15*f + 9*f - 8*f.
16*f
Collect the terms in -1 + 11892*m**2 + 1 - 57*m - 11894*m**2.
-2*m**2 - 57*m
Collect the terms in 172*r**2 - 348*r**2 + 168*r**2 + 4*r - 4*r.
-8*r**2
Collect the terms in -63*s**2 + 126*s**2 - 66*s**2.
-3*s**2
Collect the terms in 4*q + 24 + 29 - 53.
4*q
Collect the terms in -85*v**2 + 42*v**2 + 44*v**2.
v**2
Collect the terms in -2*t + 19 + 83 - 16.
-2*t + 86
Collect the terms in 15*w**3 + 19*w**3 - 28*w**3.
6*w**3
Collect the terms in 70*b - b**3 + 107*b - 20*b.
-b**3 + 157*b
Collect the terms in -7*m**3 + 5*m**3 + 5*m**3.
3*m**3
Collect the terms in -6 + 5 + 2*t + 5*t + 3*t.
10*t - 1
Collect the terms in w**2 - 637*w**3 - 3*w**2 + 2*w**2.
-637*w**3
Collect the terms in 64*p**3 - 114*p**3 + 59*p**3.
9*p**3
Collect the terms in 4*b**3 - 6*b**3 - b**3 + 5*b**3.
2*b**3
Collect the terms in -2*w**2 - w**2 - w**2 + 5*w**2.
w**2
Collect the terms in -69*o**2 + 31*o**2 + 276*o**2.
238*o**2
Collect the terms in -3592*t**2 + 3592*t**2 + 170*t**3.
170*t**3
Collect the terms in m**3 - 2*m**3 + 152*m - 152*m.
-m**3
Collect the terms in -d - 1 - d + 1 - 4*d.
-6*d
Collect the terms in -14*s**2 - 14*s**2 + 43*s**2 - 19*s**2.
-4*s**2
Collect the terms in -6702261*s + 6702261*s - 3*s**2.
-3*s**2
Collect the terms in -30*c + 30*c + 93*c**2 - 92*c**2.
c**2
Collect the terms in 1140*n - 8*n**3 - 1140*n - 7.
-8*n**3 - 7
Collect the terms in -150*k + 150*k - 69*k**3.
-69*k**3
Collect the terms in 12855*z**2 - 12855*z**2 + 12*z**3.
12*z**3
Collect the terms in -1 + 1 - 13*j - 3*j + 38*j - 21*j.
j
Collect the terms in 0*c - 4*c - 4*c - 2*c.
-10*c
Collect the terms in -31 + 62 - 31 + 27*s**3.
27*s**3
Collect the terms in 132*y**3 - 48*y**3 - 46*y**3 - 48*y**3.
-10*y**3
Collect the terms in 14*z**2 - 751 + 751.
14*z**2
Collect the terms in -3412 + 13*h**2 + 3412.
13*h**2
Collect the terms in -158*f - 38*f - 70*f + 63*f.
-203*f
Collect the terms in -8*k**3 - 15*k**3 - 10*k**3.
-33*k**3
Collect the terms in 37*p**3 - 17*p**3 - 22*p**3.
-2*p**3
Collect the terms in -7 + 4*l**3 + 7.
4*l**3
Collect the terms in 7*f**3 - 3*f**3 + 2*f**3.
6*f**3
Collect the terms in -3 + 35 + 3 - 35 + 3*b**3.
3*b**3
Collect the terms in 65*r - 15 - 30*r + 2*r**2 - 35*r.
2*r**2 - 15
Collect the terms in -5*u + 1939 - 1939.
-5*u
Collect the terms in -5*p - 15*p + 24*p - 9*p.
-5*p
Collect the terms in 7 + 7*n + 6*n - 10*n - 2.
3*n + 5
Collect the terms in -4*b**2 + 6*b**2 + 4*b
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - 5?
2
-16 - (-18 - (11 - 31)) - (-5 - 0)
-13
-499 - -489 - (4 + (3 - -9))
-26
What is -20 + (-3 - (9 - 17)) - -1?
-14
What is (-3 - (1 + -8 + -18) - 6) + -1?
15
Evaluate 26 + -38 - (4 - 6).
-10
What is 0 + 0 + 9 - (-188 + 205)?
-8
(10 - (1 - 2)) + 0 + (-2 - -10)
19
What is (7 - 3) + (6 - 4) - 8?
-2
What is the value of -1 + 15 + (169 - 162) - (1 - -3)?
17
Evaluate (25 - (1 - -4)) + (0 - (5 + -2)).
17
Evaluate 4 + -7 + -7 - -4 - 6.
-12
Calculate 10 - (13 + 5 + 3 + -15 - 13).
17
What is (1 - -1 - -1) + (19 - 29)?
-7
Calculate (12 - -4) + (-1 - 9) + -5.
1
What is the value of -12 + (40 - ((-19 - -4) + (-36 - -44)))?
35
What is the value of (-13 - (-3 + (8 - 0))) + 48?
30
(15 - 2) + -21 + 25 + -8
9
12 + -65 + 65 + (2 - (-11 - -4))
21
Evaluate (-6 - 3) + -1 + (-24 - -69 - 8).
27
What is the value of (-11 - 6 - (4 + (3 - 1))) + 5?
-18
What is the value of (5 - -1) + -99 + 105 + -27?
-15
Calculate (-1 - -6) + (16 - (24 - 0)).
-3
What is the value of 15 - 0 - 1 - 17?
-3
-4 + (-2 + -4 - -2) + 1
-7
What is 631 - 629 - (10 - 1 - 0)?
-7
What is -2 + (-23 - -46) + -26?
-5
Evaluate (1 - -3) + (-9 - (1 - 2)) + -1.
-5
What is the value of -8 - (-20 - (2 + -14))?
0
Evaluate -1 - 33 - (-99 + 93).
-28
Evaluate 26 + -2 + -10 + 7.
21
Calculate -5 + 2 + 0 + (-555 - -549).
-9
What is the value of 14 + (-4 - (-12 + 6 - -1) - 5)?
10
Calculate 11 - (13 + -6 + 0).
4
Calculate 6 - (-9 - -6 - -7 - (-18 - -2)).
-14
What is (5 - (-68 - -73)) + 1 + (0 - 0)?
1
Calculate 12 + 20 + -27 + 14.
19
What is (0 - (2 - (-11 + 3))) + -253 + 259?
-4
What is the value of -8 + (-3 - (1 - -4))?
-16
Evaluate 1 + 0 + 5 + -317 + 336.
25
Calculate 8 + (6 - 33) - -20.
1
-19 - 18 - -23 - -32
18
What is the value of 18 + (9 - -2) + -15 + -10?
4
Calculate -49 + (26 + -23 - -25).
-21
-11 + -3 + 7 + -6 + 1
-12
Calculate (-16 - -10) + (123 - 140).
-23
What is (3 - (-3 - -22)) + (391 - 385)?
-10
What is the value of -8 - 5 - (-2 + -5 + 4 + -5)?
-5
What is the value of 2 - (20 + -13 + (-2 - 1) - 1)?
-1
What is -10 + ((4 - -1) + -9 - 5)?
-19
Calculate 0 - 13 - (15 - (46 - 5)).
13
Calculate (-2 - (17 - 10)) + (0 - (4 - 3)).
-10
-42 + 38 - (0 - 1) - (6 - 1)
-8
What is -23 - -35 - (15 + -2)?
-1
Evaluate -15 - (2 + (-5 - (7 + -16 + 7))).
-14
What is (1 - 3) + 2 - (496 - 502)?
6
-15 - (13 - (5 + 9) - 38)
24
-11 + -5 + (15 - 8)
-9
Evaluate (12 - (-18 - -21)) + 8.
17
Evaluate -19 + 8 + -19 + 24 - 7.
-13
Evaluate -118 - -139 - (10 + 2).
9
What is -12 - (-7 + -13 + 19)?
-11
What is 1 + 15 + -1637 + 1631?
10
Evaluate 1 + -18 - (24 + (-3 - 27)).
-11
What is the value of -26 + 29 - (3 + 2 + -2)?
0
What is (-22 - ((9 - 10) + -10)) + -4?
-15
What is 2 + -15 + (-30 - -70) + -42?
-15
0 + (2 - -1) + 4 + -4 + 1
4
What is the value of (6 - 23 - -8) + (4 - (-2 - 13))?
10
Evaluate 12 + (-14 + (4 - 3) - -2).
1
What is 7 - (-1 - (3 - (4 - 5 - 3)))?
15
Calculate 8 - 5 - (41 + -32).
-6
Calculate 45 + -10 + 11 + -27.
19
Evaluate 2 + ((3 - 5) + 1 - -9) - -2.
12
1 + -1 - (-26 + (-4 - -40))
-10
Evaluate (-20 - -6) + -10 - (5 + -10).
-19
What is the value of -16 - (-13 + 12 + 2)?
-17
(2 - (-5 - (-5 + (15 - 7)))) + 9
19
-4 + (5 - 1) + (8 - (-7 + 19))
-4
Evaluate 0 + ((1 - 7) + 0 - -1) + -2.
-7
Calculate (12 - 6) + -27 - (-3 + 0 + -4).
-14
What is (2 - -5) + (0 - (-4 - -21))?
-10
What is 14 - (2 + -1 - -6 - (95 - 97))?
5
What is the value of 0 + 7 + 5 + -4?
8
What is -15 + (-12 - (-17 - 16))?
6
Calculate -2 + 30 - (-9 + (-14 - -17) + 14).
20
What is the value of 3 + (-15 - (-4 + 4)) - (-7 + 7)?
-12
-17 - (-12 + 15 + -16)
-4
Calculate 2 + 8 + -26 + 7 - (0 - -2).
-11
What is the value of 4 + -14 + 6 + -10?
-14
Evaluate (-4 - (-13 - -1)) + -4 + -7.
-3
What is 6 + (1 - (-4 + (-4 - -3) - -8))?
4
What is the value of 12 + -8 + -18 + (11 - (6 + 1))?
-10
What is the value of (-13 - -6) + 6 + (-6 - -8) + -16?
-15
What is the value of 0 + 18 + -3 + -173 + 171?
13
What is the value of (4 - 2 - 2) + -5 + (-2 - 1)?
-8
Evaluate 11 + -17 + 10 + (-2 - 4 - 1).
-3
-50 + 68 - (1 - -4)
13
What is the value of 0 + -9 + (1 - (9 - 12))?
-5
Calculate 42 + -31 + -10 + -8.
-7
What is -140 - -163 - (-2 - (-2 + -1))?
22
Calculate (-6 - (-2 + -8)) + (-15 - 2) + 2.
-11
(2 - 1) + 3 + -1 + (0 - -9)
12
What is the value of (231 - 229) + (-1 + 3 - -13)?
17
5 + 5 + (-53 - -7) + 1 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest to 2/3 in 0.5, 1, -0.1, -155, 13.16?
0.5
What is the closest to 26490 in -0.0404, -5, 2?
2
What is the closest to 0.17 in 3, 0.5, -3, 22, 144, 2/21?
2/21
What is the closest to -2/5 in -4.3, 4/7, 1, 2, 0.01?
0.01
Which is the nearest to 0? (a) -3 (b) -40 (c) -1171 (d) 2 (e) -11/2
d
What is the closest to 1/2 in -1/354857, -13, -0.3?
-1/354857
What is the closest to 5 in -9, -4, 23, 4846?
-4
Which is the closest to 1? (a) -260 (b) -0.04 (c) -1.4 (d) 5 (e) 0.4
e
Which is the nearest to -445/13? (a) 3 (b) -6/13 (c) -1/6 (d) -0.1 (e) 3/7 (f) 9/13
b
What is the closest to 76 in 0, -161, -5, -9/2?
0
Which is the nearest to 25/6? (a) 4 (b) -1/4 (c) 0.54 (d) -32
a
What is the closest to 3.1 in 1/7963, -3, -4, 0.2?
0.2
Which is the closest to -2? (a) 4579 (b) -2/3 (c) -4 (d) 1/4 (e) 2
b
What is the nearest to -1 in -1, -17/32, 1/5, 6/29?
-1
What is the closest to -1 in 2, 3/2, -6/433, 139, 1?
-6/433
What is the nearest to -31405 in 0.3, -2, 1/3, 3?
-2
Which is the nearest to -2/3? (a) -1/8 (b) -0.09 (c) -2 (d) -11/789
a
Which is the closest to 0.03? (a) 2/9 (b) -3 (c) -197/121
a
What is the nearest to 0.1664 in 3, 5, 3/4, -0.3, 131?
-0.3
What is the nearest to 405 in -109, -2/9, -4, 3, 7?
7
Which is the closest to -2/1453? (a) -1/3 (b) 2.7 (c) -1/5 (d) -1/6 (e) -37
d
What is the closest to 39 in -0.2, -0.6, 1, -6.2?
1
What is the closest to -4 in 4, -3/269, -0.4, 1/7?
-0.4
Which is the closest to 2/5? (a) -0.672 (b) -200 (c) -0.5
c
Which is the closest to -350? (a) 0 (b) 3 (c) -1/3 (d) -3 (e) 103
d
What is the closest to 17 in 4, 5, -4/63, 0?
5
What is the closest to 4 in -3, 0.6, 0.06, 1/3, 161?
0.6
Which is the nearest to -0.4? (a) 3 (b) -417.18 (c) 164
a
Which is the closest to 0? (a) -4 (b) 1222 (c) 309 (d) -9
a
What is the closest to 2 in -96, -307, -4, 1/4, -8?
1/4
What is the nearest to -2/7 in 1/4, 0.4, 18, 63/10, 19?
1/4
What is the nearest to -1 in 2.98, 2/1459, -2?
-2
Which is the closest to 0? (a) 2 (b) -2177.9 (c) -465/4
a
What is the closest to -12/121 in -7, 3, 465?
3
Which is the nearest to 0.4? (a) 0.4 (b) -5/4 (c) 0.3 (d) 115646
a
Which is the closest to -139.3? (a) -0.1 (b) -104124 (c) 3
a
What is the closest to 0.1 in -5/4, -0.135, 1/7, -18/11, 0.6, -5?
1/7
What is the closest to -0.1 in -0.4, -1/4, 0.4931, 5/4, 4/5?
-1/4
What is the closest to 12 in -4244, -0.3, 2/11, 0.09?
2/11
Which is the closest to 19? (a) 0.2 (b) 725 (c) 0.1 (d) 0.06
a
What is the closest to 5 in 186, -0.4, -1801?
-0.4
What is the closest to 1/4 in 3.1, 0, -2, -1.6, -2/3, -233?
0
Which is the closest to -0.0016? (a) -4 (b) -35.5 (c) -5
a
What is the nearest to -5/2 in -0.3, 1.5, 29, -2/13, -8?
-0.3
Which is the closest to -0.1? (a) -12 (b) 225 (c) 1/5806
c
Which is the closest to -1/3? (a) -0.4 (b) -1 (c) -5/2 (d) -5/7 (e) -0.02058
a
What is the closest to -4/21 in -0.007, -0.5, 2, 4, -3.16?
-0.007
What is the nearest to -0.3 in 4/81, 17, -1/2, 1212, 2/11?
-1/2
What is the closest to -323657 in -5, -0.3, -0.5, 0, -3?
-5
What is the nearest to -86.051996 in 2, 0.1, -5?
-5
What is the nearest to 2/5 in 0.04, 2004733, -0.3?
0.04
What is the closest to -2/9 in 4/19, -107, 15/7, -5, 5?
4/19
Which is the closest to -1/832? (a) 0.3 (b) 9 (c) -4 (d) -2 (e) -13
a
What is the nearest to 30 in -0.2, -2/7, -0.4, -8, -4, 8?
8
Which is the nearest to 32? (a) -31 (b) -0.5 (c) -1/5 (d) -6 (e) 1/10
e
Which is the nearest to -17? (a) -7/26339 (b) -2/7 (c) 2
b
Which is the closest to -2/3? (a) 2 (b) 0.4 (c) -44/265061
c
Which is the closest to 41/9? (a) 3 (b) -425 (c) -1
a
Which is the nearest to -2/13? (a) 17/6 (b) -41 (c) 5 (d) -0.5 (e) -4
d
Which is the nearest to -243? (a) 1/4 (b) -0.5 (c) 2/7 (d) -5 (e) 0.04
d
What is the closest to 0 in 6856, -5, 11/2, -1/5?
-1/5
Which is the nearest to 46? (a)
|
{
"pile_set_name": "DM Mathematics"
}
|
6?
589
What is the highest common divisor of 47909 and 15571?
23
Calculate the highest common factor of 498 and 215584034.
166
Calculate the highest common factor of 46725042 and 1092.
546
Calculate the greatest common factor of 747270 and 68970.
570
Calculate the greatest common divisor of 7035630 and 462.
42
Calculate the highest common factor of 1165260 and 8980.
20
Calculate the greatest common factor of 80226 and 7254.
18
Calculate the highest common factor of 555 and 197542815.
555
Calculate the greatest common divisor of 6388756 and 2073496.
5428
Calculate the highest common factor of 2 and 275698.
2
Calculate the greatest common divisor of 5405 and 1279141895.
5405
What is the highest common divisor of 4594 and 888144238?
4594
Calculate the greatest common divisor of 12 and 474306192.
12
Calculate the highest common divisor of 874 and 1841288.
46
What is the highest common divisor of 113 and 3942899169?
113
Calculate the greatest common factor of 4004 and 30649619.
1001
What is the greatest common divisor of 258966 and 6921?
9
Calculate the greatest common factor of 208611 and 71.
1
Calculate the highest common factor of 683410 and 78715.
455
Calculate the greatest common divisor of 5025111 and 1729.
91
Calculate the greatest common factor of 2203185 and 433716.
2307
Calculate the highest common factor of 14066990 and 1785.
595
Calculate the greatest common divisor of 529305 and 815.
5
Calculate the highest common factor of 8470 and 5103.
7
What is the greatest common divisor of 1869 and 3496227?
21
Calculate the greatest common divisor of 266 and 4978428.
14
Calculate the highest common divisor of 53 and 15209569.
53
Calculate the greatest common factor of 23 and 810392603.
23
Calculate the greatest common factor of 20860837 and 117106.
5323
Calculate the highest common factor of 996 and 98292.
12
Calculate the greatest common factor of 16523068 and 1863692.
12508
What is the greatest common factor of 44 and 74375378?
22
What is the highest common divisor of 34458673 and 43727?
599
What is the greatest common divisor of 43354 and 4990618?
818
Calculate the highest common factor of 108329053 and 343.
49
What is the highest common divisor of 182031 and 571913?
1291
Calculate the highest common divisor of 680 and 469400.
40
What is the highest common divisor of 49741198 and 26?
26
Calculate the greatest common factor of 3727228 and 127100.
164
Calculate the highest common divisor of 9156090 and 982290.
7170
What is the greatest common divisor of 2041 and 26914667?
2041
Calculate the highest common factor of 1740433 and 11408.
713
What is the greatest common divisor of 352175 and 21925?
25
Calculate the highest common divisor of 3144 and 1682376.
24
Calculate the highest common divisor of 190 and 119979050.
10
What is the highest common divisor of 454 and 10139182?
454
What is the greatest common factor of 416 and 18340452?
52
What is the highest common factor of 3135 and 5320950?
285
What is the greatest common factor of 1822764 and 60?
12
What is the greatest common divisor of 2794725 and 25?
25
What is the greatest common divisor of 8841 and 41020?
7
Calculate the highest common factor of 8253679 and 497.
497
Calculate the greatest common factor of 259440402 and 57.
57
What is the highest common divisor of 28203717 and 29949?
201
Calculate the greatest common divisor of 5 and 111808355.
5
Calculate the highest common divisor of 27 and 388323.
9
Calculate the highest common divisor of 4 and 45197674.
2
What is the highest common divisor of 31108224 and 652?
652
Calculate the greatest common divisor of 97 and 32267826.
97
Calculate the greatest common divisor of 2234973 and 21.
3
Calculate the greatest common divisor of 29128 and 15283925.
331
Calculate the highest common divisor of 70 and 9640020.
10
What is the highest common divisor of 34 and 1651635?
17
What is the highest common divisor of 14256448 and 4627?
661
Calculate the greatest common factor of 8869091 and 22.
11
Calculate the highest common divisor of 210 and 34334286.
42
What is the greatest common divisor of 22135 and 786125?
95
What is the highest common divisor of 83125 and 155743?
133
Calculate the greatest common divisor of 29055875 and 191.
191
Calculate the greatest common factor of 347112 and 7578.
18
What is the greatest common factor of 2871 and 2235420?
99
Calculate the highest common divisor of 72991 and 296623.
1553
What is the greatest common factor of 38912 and 25213?
19
What is the greatest common divisor of 11216 and 241264?
16
What is the greatest common divisor of 945880618 and 62?
62
What is the greatest common divisor of 1203923 and 579751?
1139
What is the highest common divisor of 104 and 542949264?
104
What is the highest common factor of 8961 and 239475?
309
What is the highest common factor of 16533408 and 96?
96
What is the greatest common divisor of 5421 and 244501?
139
Calculate the greatest common factor of 1904950 and 500.
50
What is the highest common divisor of 1572 and 21957303?
393
Calculate the highest common factor of 3645 and 21745.
5
What is the highest common factor of 16767261 and 39951?
1737
What is the highest common divisor of 149206 and 638406?
2446
What is the greatest common factor of 6428602 and 7844?
74
What is the highest common factor of 434669 and 3535466?
593
Calculate the highest common factor of 1339124844 and 24.
12
What is the highest common factor of 40029 and 808?
1
Calculate the greatest common divisor of 2284388 and 19364.
188
What is the greatest common divisor of 982760 and 394210?
790
Calculate the highest common factor of 995063 and 443166.
317
Calculate the greatest common divisor of 343552 and 14432.
352
What is the greatest common factor of 724 and 74436?
4
Calculate the greatest common divisor of 12151 and 48720.
29
Calculate the highest common divisor of 35554 and 11022353.
613
What is the highest common divisor of 24190575 and 3570?
255
Calculate the greatest common factor of 16743 and 26632532.
5581
What is the greatest common divisor of 49621 and 20669?
11
Calculate the greatest common factor of 2277 and 1163961.
207
Calculate the greatest common divisor of 179205 and 139113.
39
Calculate the greatest common factor of 185274 and 102276.
54
What is the greatest common divisor of 62542221 and 2139?
2139
Calculate the greatest common factor of 28811088 and 828.
828
What is the greatest common divisor of 232451326 and 7563?
2521
What is the greatest common divisor of 42496336 and 1886?
82
What is the greatest common divisor of 2500 and 20388500?
500
What is the highest common factor of 391 and 2061029?
17
Calculate the highest common factor of 30 and 1269735.
15
Calculate the greatest common factor of 6300175 and 27800.
3475
What is the greatest common factor of 12668 and 36328657?
3167
Calculate the highest common factor of 32010 and 3803370.
2910
Calculate the highest common divisor of 99002068 and 40172.
3652
Calculate the highest common divisor of 85278876 and 36.
12
What is the greatest common factor of 392995 and 137429?
53
What is the highest common divisor of 1622656 and 8064?
896
Calculate the greatest common divisor of 40175623 and 73.
73
Calculate the greatest common factor of 4089078 and 185472.
2898
Calculate the highest common divisor of 16314994 and 232.
58
What is the highest common divisor of 77984 and 17612199?
2437
What is the greatest common divisor of 123930 and 6209622?
1458
What is the greatest common divisor of 310187717 and 7?
7
What is the greatest common factor of 7830591 and 408?
51
Calculate the highest common divisor of 49987896 and 112.
56
What is the highest common
|
{
"pile_set_name": "DM Mathematics"
}
|
picked without replacement from jjdvawwajdnvdand?
1/30
Calculate prob of sequence eio when three letters picked without replacement from {i: 4, o: 2, s: 2, e: 1, q: 7}.
1/420
Calculate prob of sequence aoee when four letters picked without replacement from eaeeeeeeaaeeeeeeeoee.
2/323
Four letters picked without replacement from ullullluuuulu. Give prob of sequence llul.
7/143
Four letters picked without replacement from {f: 3, y: 1, n: 5, x: 3}. What is prob of sequence ffnn?
1/99
Calculate prob of sequence ujj when three letters picked without replacement from {k: 2, u: 5, j: 3}.
1/24
Calculate prob of sequence pp when two letters picked without replacement from {p: 10}.
1
Calculate prob of sequence jjjt when four letters picked without replacement from {t: 1, p: 11, j: 3}.
1/5460
Two letters picked without replacement from {s: 7, d: 2}. Give prob of sequence ss.
7/12
Calculate prob of sequence ppp when three letters picked without replacement from pppppp.
1
Four letters picked without replacement from {k: 3, h: 5}. What is prob of sequence kkkh?
1/56
Calculate prob of sequence zz when two letters picked without replacement from {w: 2, p: 3, z: 15}.
21/38
Three letters picked without replacement from lblyybyb. What is prob of sequence yyb?
3/56
Three letters picked without replacement from {e: 5}. Give prob of sequence eee.
1
Three letters picked without replacement from fvvvpprppvppf. Give prob of sequence pvv.
6/143
Calculate prob of sequence jij when three letters picked without replacement from jcccjcjijjjqj.
7/286
Calculate prob of sequence mmm when three letters picked without replacement from mkk.
0
Four letters picked without replacement from {q: 2, f: 14, i: 1}. Give prob of sequence iqqf.
1/2040
What is prob of sequence gw when two letters picked without replacement from {d: 3, c: 2, y: 2, l: 4, w: 2, g: 1}?
1/91
Four letters picked without replacement from fffffzxxffffz. Give prob of sequence ffzz.
6/715
Three letters picked without replacement from {r: 3, q: 1, w: 6, u: 2, n: 4, c: 4}. Give prob of sequence qur.
1/1140
What is prob of sequence ptr when three letters picked without replacement from {r: 2, t: 1, p: 1, b: 2}?
1/60
Three letters picked without replacement from {a: 1, b: 1, j: 5, q: 1, f: 1}. What is prob of sequence bfq?
1/504
Three letters picked without replacement from ymmyknfkyksyy. What is prob of sequence kmk?
1/143
Three letters picked without replacement from {w: 9, x: 2, s: 4, l: 3}. What is prob of sequence wls?
3/136
What is prob of sequence vu when two letters picked without replacement from {u: 2, v: 4, d: 2}?
1/7
Three letters picked without replacement from qbkjjnqbqjnkon. Give prob of sequence bnn.
1/182
Calculate prob of sequence jzju when four letters picked without replacement from zejueeujezeeejjejze.
5/3876
Calculate prob of sequence muw when three letters picked without replacement from mamuvawaa.
1/252
Calculate prob of sequence wab when three letters picked without replacement from wab.
1/6
Calculate prob of sequence cz when two letters picked without replacement from {c: 1, z: 3, a: 4, p: 1, r: 2}.
3/110
What is prob of sequence ryrv when four letters picked without replacement from vrvryrvrrvvvv?
7/858
Three letters picked without replacement from {w: 7, n: 8, m: 3}. What is prob of sequence wwn?
7/102
Two letters picked without replacement from {m: 2, l: 1, c: 1, q: 1}. Give prob of sequence ll.
0
What is prob of sequence ooe when three letters picked without replacement from {o: 5, e: 2, u: 3, i: 2}?
1/33
Two letters picked without replacement from {v: 9, l: 2, r: 4, f: 4}. Give prob of sequence rl.
4/171
Four letters picked without replacement from pwwswpswpsppwws. Give prob of sequence sppp.
2/273
What is prob of sequence kho when three letters picked without replacement from okxhkxxxhoxh?
1/110
Three letters picked without replacement from {i: 1, w: 2, g: 1, t: 1, z: 2, l: 1}. Give prob of sequence ilw.
1/168
Calculate prob of sequence ff when two letters picked without replacement from {f: 3, g: 2}.
3/10
Calculate prob of sequence hh when two letters picked without replacement from {q: 12, h: 3}.
1/35
What is prob of sequence yy when two letters picked without replacement from iyioyiyyiioyiyy?
1/5
What is prob of sequence ee when two letters picked without replacement from eaezaaoa?
1/28
Two letters picked without replacement from {a: 2, g: 2, s: 2, p: 2}. What is prob of sequence pa?
1/14
Calculate prob of sequence nnjj when four letters picked without replacement from rnjjnnznnwjnnznjjw.
7/459
Two letters picked without replacement from cdxtldx. Give prob of sequence dx.
2/21
What is prob of sequence akkq when four letters picked without replacement from aakynkqanqaq?
1/495
Two letters picked without replacement from {w: 1, k: 1, q: 9, r: 7}. What is prob of sequence wq?
1/34
Two letters picked without replacement from sgspjyg. Give prob of sequence js.
1/21
What is prob of sequence lldd when four letters picked without replacement from dlddll?
1/10
Two letters picked without replacement from ittrttitrgtrg. What is prob of sequence gt?
1/13
Calculate prob of sequence cc when two letters picked without replacement from {d: 9, c: 5}.
10/91
Two letters picked without replacement from {h: 3, n: 1, f: 1, m: 2}. What is prob of sequence mn?
1/21
Three letters picked without replacement from {h: 3, i: 5, p: 2, w: 2, n: 3}. Give prob of sequence pih.
1/91
Four letters picked without replacement from kktwkwtttkkw. Give prob of sequence tkkk.
2/99
Calculate prob of sequence ayt when three letters picked without replacement from {v: 3, y: 1, a: 1, t: 2}.
1/105
Calculate prob of sequence id when two letters picked without replacement from htdhwie.
1/42
Calculate prob of sequence pvxe when four letters picked without replacement from {e: 3, x: 1, v: 2, p: 1, f: 8, i: 2}.
1/9520
What is prob of sequence bqbm when four letters picked without replacement from mbpkqbk?
1/420
Three letters picked without replacement from {u: 14, s: 5}. Give prob of sequence sss.
10/969
Calculate prob of sequence kt when two letters picked without replacement from {h: 4, k: 2, m: 8, t: 2}.
1/60
Three letters picked without replacement from kkxhkqs. Give prob of sequence hqs.
1/210
What is prob of sequence gg when two letters picked without replacement from {g: 2, f: 4}?
1/15
What is prob of sequence mmmc when four letters picked without replacement from mcomoojcmoiimm?
5/1001
Two letters picked without replacement from {y: 1, b: 2, h: 9, i: 4}. Give prob of sequence ib.
1/30
Calculate prob of sequence ix when two letters picked without replacement from {e: 2, a: 2, x: 4, i: 2}.
4/45
Two letters picked without replacement from rbrb. What is prob of sequence br?
1/3
Calculate prob of sequence es when two letters picked without replacement from esesseseessseeeses.
9/34
Calculate prob of sequence hxfh when four letters picked without replacement from {p: 2, n:
|
{
"pile_set_name": "DM Mathematics"
}
|
114847, -143726, -172637?
-201574
What is the next term in -5905, -11743, -17583, -23425?
-29269
What is the next term in -3819, -8330, -14195, -22092, -32699, -46694, -64755?
-87560
What is next in -179589, -357314, -535039?
-712764
What comes next: 43339, 346765, 1170357, 2774197, 5418367, 9362949?
14868025
What comes next: 12543218, 12543213, 12543208, 12543203, 12543198, 12543193?
12543188
What comes next: -17119, -17149, -17195, -17257, -17335, -17429, -17539?
-17665
What is the next term in -2951, -4075, -5201, -6335, -7483, -8651?
-9845
What is next in 2439, 3319, 5733, 10449, 18235?
29859
What comes next: 19728, 39613, 59498, 79383, 99268?
119153
What comes next: 569, 74, -739, -1870, -3319?
-5086
What is the next term in -210956593, -210956595, -210956597, -210956599?
-210956601
What is next in -4771, -9511, -14199, -18835, -23419, -27951?
-32431
What is the next term in 4330257, 8660516, 12990775, 17321034?
21651293
What comes next: 26269, 48393, 85269, 136903, 203301, 284469, 380413, 491139?
616653
What is next in 226403, 452857, 679311, 905765, 1132219, 1358673?
1585127
What is next in 1762431, 1762430, 1762429, 1762428?
1762427
What is next in 4532926, 4532935, 4532944?
4532953
What comes next: -6314794, -6314800, -6314810, -6314824, -6314842, -6314864, -6314890?
-6314920
What comes next: -33551859, -33551858, -33551857, -33551856, -33551855, -33551854?
-33551853
What is the next term in -2506, -11689, -26992, -48415, -75958, -109621?
-149404
What comes next: -82170477, -82170479, -82170481, -82170483, -82170485, -82170487?
-82170489
What is next in 1596059, 3191772, 4787495, 6383234, 7978995, 9574784?
11170607
What is next in 48910, 50059, 51958, 54595, 57958, 62035, 66814, 72283?
78430
What is next in -15921, -63863, -143765, -255633, -399473?
-575291
What is next in 9633873, 9633992, 9634111, 9634230, 9634349, 9634468?
9634587
What comes next: 120238924, 240477855, 360716788, 480955723, 601194660, 721433599?
841672540
What is next in 86851, 168992, 251135, 333280, 415427, 497576?
579727
What is the next term in -7580, -36174, -83830, -150548?
-236328
What is the next term in -13156, -26694, -40232?
-53770
What is next in 189, -11, -967, -3057, -6659, -12151?
-19911
What is the next term in 20053, 40097, 60131, 80149, 100145, 120113?
140047
What is next in -3953974, -3953970, -3953962, -3953950?
-3953934
What comes next: -11898, -47217, -106012, -188223, -293790, -422653?
-574752
What is the next term in 50360, 100730, 151098, 201464?
251828
What is the next term in 1921, 6984, 15191, 26542, 41037?
58676
What comes next: -76807, -76197, -75571, -74929, -74271?
-73597
What is the next term in -3093, -3110, -3137, -3186, -3269, -3398, -3585, -3842?
-4181
What is next in -63730, -63980, -64382, -64924, -65594?
-66380
What is next in 227637, 910520, 2048639, 3641994, 5690585?
8194412
What is next in -426820, -426856, -426892, -426928, -426964, -427000?
-427036
What is next in -10243, -41088, -92537, -164590?
-257247
What comes next: 5207, 5194, 5173, 5144, 5107?
5062
What is the next term in -433, -3423, -11551, -27391, -53517, -92503, -146923, -219351?
-312361
What is the next term in 34814, 134237, 299932, 531893, 830114, 1194589, 1625312?
2122277
What comes next: 69, -24, -197, -498, -975?
-1676
What is next in 457519, 914971, 1372423, 1829875, 2287327?
2744779
What is the next term in -163258, -326412, -489566, -652720, -815874?
-979028
What is the next term in 215, 1292, 3895, 8690, 16343, 27520, 42887?
63110
What comes next: 13331, 13311, 13281, 13235, 13167, 13071, 12941?
12771
What is next in -11343902, -11343899, -11343896, -11343893, -11343890?
-11343887
What comes next: -1792, -3670, -8744, -18616, -34888?
-59162
What is next in -19067, -18974, -18881, -18788?
-18695
What comes next: -318682, -1275066, -2869042, -5100610, -7969770?
-11476522
What comes next: 2274, 13902, 45408, 106716, 207750, 358434?
568692
What is the next term in 1394158, 2788315, 4182472, 5576629, 6970786?
8364943
What is next in 138669, 135851, 133035, 130221, 127409, 124599?
121791
What is the next term in 484, 563, 640, 715, 788, 859?
928
What is the next term in -9256903, -9256920, -9256937, -9256954, -9256971, -9256988?
-9257005
What is the next term in -7341, -32417, -74213, -132729, -207965, -299921, -408597?
-533993
What is next in -7405716, -14811431, -22217146, -29622861, -37028576, -44434291?
-51840006
What comes next: 104302276, 208604553, 312906830?
417209107
What is the next term in 33, -77, -287, -645, -1199?
-1997
What is next in -66, -1019, -3508, -8301, -16166, -27871?
-44184
What is the next term in -31166, -124641, -280
|
{
"pile_set_name": "DM Mathematics"
}
|
z(w) = -w**3 - 3*w**2 - 3*w - 1. Suppose 4*l + 5 = -3. Let m be z(l). What is the first derivative of -1 + m + 2 - 2*t**4 wrt t?
-8*t**3
Let b(t) be the third derivative of 0 + 0*t**6 + 0*t**5 + 0*t - t**2 - 5/24*t**4 + 0*t**7 + 1/168*t**8 + 0*t**3. Find the second derivative of b(d) wrt d.
40*d**3
Let g = -4 - -7. Let r(u) = -u**2 + u - 1. Let x(d) = 5*d**2 - 4*d + 5. Let w(o) = g*x(o) + 12*r(o). Differentiate w(j) wrt j.
6*j
Let h = 1/2 - 1/10. Let u(g) be the first derivative of 0*g**2 - h*g**5 + 0*g**4 - g + 3 + 0*g**3. What is the derivative of u(j) wrt j?
-8*j**3
What is the second derivative of -30*h**2 + 18*h + 30*h**2 + 0*h + 2*h**3 wrt h?
12*h
Let m(f) be the second derivative of 2*f**6/15 + 4*f**3/3 + 8*f. What is the second derivative of m(u) wrt u?
48*u**2
Let i(j) be the third derivative of j**7/21 + 13*j**3/6 + 7*j**2. Differentiate i(x) with respect to x.
40*x**3
Let u be (-100)/(-36) - (-4)/18. Find the second derivative of 2*h**3 + 3*h + 3*h**2 - 2*h - u*h**2 wrt h.
12*h
Let o = -1 - -4. Find the third derivative of -3*q**3 + 2*q**3 + o - 3 - q**2 wrt q.
-6
Suppose -i + 0*i - 3*i = 0. Let y(v) be the second derivative of -3/2*v**2 + i + 0*v**4 + 0*v**3 + 1/20*v**5 - 4*v. Differentiate y(d) with respect to d.
3*d**2
Let g(f) = -18*f**3 - 2*f**2. Let i(p) = 17*p**3 + 3*p**2. Let z(l) = 5*g(l) + 6*i(l). Find the third derivative of z(q) wrt q.
72
Let m(q) be the second derivative of 0*q**3 + 0*q**5 - 5*q - 5/2*q**2 + 0 + 0*q**4 + 2/15*q**6. Find the first derivative of m(a) wrt a.
16*a**3
Differentiate 1 - 26*q**3 + 2 + 22*q**3 with respect to q.
-12*q**2
Let r = 15 + -19. Let f(p) = 4*p + 9. Let h(l) = l**2 - 9*l - 19. Let k(y) = r*h(y) - 9*f(y). What is the derivative of k(t) wrt t?
-8*t
Let w(p) be the third derivative of -p**5/12 - p**3/6 + 4*p**2. Differentiate w(q) with respect to q.
-10*q
Let m = 50 - 80. Let b be (-3)/(-12) + m/(-8). What is the first derivative of -3*s**4 - 1 - s**4 + 2*s**b wrt s?
-8*s**3
Let v(t) be the second derivative of -11*t**4/12 + t**3/6 + 10*t. Find the second derivative of v(f) wrt f.
-22
What is the first derivative of -3 - 46*x**3 + 4 + 48*x**3 wrt x?
6*x**2
What is the third derivative of -m**6 + 6*m**2 - 20*m**2 - 2*m**6 + m**2 wrt m?
-360*m**3
Let k = -3 + 6. Differentiate -2 + 9*s**3 - 6 + k - 2*s**3 wrt s.
21*s**2
Let a be (2/(-3))/(3/(-9)). Let k be 3 - (-3 + a + 3). What is the first derivative of -f + 2 - 4 - k wrt f?
-1
Let p(z) = z - 1. Let m(i) = -i + 2. Let b(g) = m(g) - 2*p(g). Find the first derivative of b(d) wrt d.
-3
Let c(w) be the first derivative of 5*w**3/3 + 4*w**2 - 5. Find the second derivative of c(l) wrt l.
10
Let i = 18 + -10. Find the third derivative of l**2 - i*l**5 + 6*l**5 + 2*l**2 wrt l.
-120*l**2
Let z(b) = b**2 + 1. Let p(m) = 1. Let j = 4 + -6. Let x be ((-2)/3)/((-4)/(-6)). Let n(f) = j*z(f) + x*p(f). Differentiate n(q) wrt q.
-4*q
Let i(p) = -p**3 + 2*p**2 + 3*p + 1. Let s be i(3). Suppose -7 - s = -4*y. Find the third derivative of 6*g**6 - 3*g**6 + g**y - g**6 wrt g.
240*g**3
Differentiate 40*v**2 - 4 - 4 + 0 - 23*v**2 with respect to v.
34*v
Suppose 0*m + m = 4. Suppose m*t = -t. Find the third derivative of v - v + v**5 - 3*v**2 + t*v wrt v.
60*v**2
Let n(f) = f**3 + 5*f**2 - 7*f - 2. Let c be n(-6). Let g = c - 1. What is the third derivative of 3*s**g - s**3 - s**2 - s + s wrt s?
12
Let i(h) = 3*h**3 + 6*h**2 - 2*h - 4*h - 4*h**3 + 0*h**3. Let x(a) = a**3 - 7*a**2 + 7*a + 1. Let c(b) = -7*i(b) - 6*x(b). Differentiate c(z) with respect to z.
3*z**2
Let h(q) = 26*q**5 + 24*q**2 - 3*q + 3. Let j(g) = -51*g**5 - 48*g**2 + 5*g - 5. Let s(y) = -5*h(y) - 3*j(y). What is the third derivative of s(c) wrt c?
1380*c**2
Let z(m) = -2*m + 2. Let c(q) = -q + 1. Let b(f) = -8*c(f) + 3*z(f). Differentiate b(o) wrt o.
2
Let r(b) be the first derivative of -b**4/2 - 11*b**2 - 8. Find the second derivative of r(o) wrt o.
-12*o
Let y(a) = -4*a - 67. Let w(b) = 6*b + 66. Let g(x) = 6*w(x) + 5*y(x). What is the first derivative of g(k) wrt k?
16
Let f(y) be the second derivative of -5*y**3/6 + y**2 + y. Differentiate f(g) with respect to g.
-5
Let q(p) be the third derivative of p**6/360 + 7*p**4/24 + p**3 - 7*p**2. Let a(g) be the first derivative of q(g). Differentiate a(t) with respect to t.
2*t
Let g(q) be the first derivative of -3/2*q**2 + 1 + 3*q. Find the first derivative of g
|
{
"pile_set_name": "DM Mathematics"
}
|
8*t**2 + 4*t**3 - 2*t**3 - 5*t**3 + 2*t + 4*t**4 + t**3 - 1 to n*t**2 + p*t + j + f*t**4 + x*t**3 and give x.
-2
Express (0 - 2*y + 0)*(6 - 2 + 4) + 2*y - 2*y + y + (-2*y + 1 - 1)*(3 - 1 - 3) + 0 + 2*y + 0 + 2*y + 4 - 4 - y - 3*y + 5*y in the form s + u*y and give u.
-8
Express -j**4 - 3 - 9*j**2 + 0 + 4*j**2 - 13*j**4 + 4*j**2 - 2*j**3 + 2*j as t*j**3 + a + q*j + v*j**2 + z*j**4 and give a.
-3
Express 6*q**3 - 2296*q + 2301*q + 2 + q**4 - 3*q**3 in the form t*q**2 + a*q**3 + l + z*q + k*q**4 and give t.
0
Express (-m + 2*m - m**2 + 0*m**2)*(102 - 17 - 19)*(1 + 0 + 1) in the form s + f*m**2 + r*m and give r.
132
Express (-8*c**3 + 56*c**4 - 11*c**3 + 37*c**3 - 16*c**3)*(-12 - 6 + 13) in the form n + m*c**2 + i*c**4 + s*c + t*c**3 and give t.
-10
Rearrange 0*y + 7*y**3 - 2*y**3 + 4027*y**2 + 0*y - 4 + 2*y**4 - 4023*y**2 to v*y**3 + x + w*y + i*y**4 + h*y**2 and give x.
-4
Rearrange 23 - 19 - 4*x**3 - 243*x**2 + x + 242*x**2 to d*x**2 + b*x + u + w*x**3 and give u.
4
Rearrange (3*h + 42*h + 16*h)*(-2 + 1 - 3) to the form d + m*h and give m.
-244
Express 38*v**2 - 76*v**2 + 29*v**2 + 16 as s + d*v + u*v**2 and give s.
16
Express (s**3 - 2*s**3 + 0*s**3)*(s + 2 - 2) + (0 - 12*s**3 - 4 + 3*s + 13*s**3)*(3*s - 2 + 2) as f*s + n + l*s**2 + m*s**4 + u*s**3 and give u.
0
Rearrange (0*b + b + 2*b)*(1 - 2 + 3)*(13 + 0 + 3)*(0*b + 2*b - b + (-4*b - 2 + 2)*(-4 + 7 - 1)) to i + t*b**2 + p*b and give t.
-672
Express v**3 + 588*v**2 - 576*v**2 + 2 - v - 19*v**4 + 21*v**4 in the form l + c*v + y*v**3 + n*v**4 + x*v**2 and give y.
1
Rearrange -1262*l**2 - 570*l**2 + 316*l**2 to s*l + w*l**2 + x and give s.
0
Rearrange -838*q + 425*q + 16 + 422*q to the form p + c*q and give p.
16
Rearrange 3 + 6 + 5 - 14 - 559*j to g*j + s and give g.
-559
Express -111*d + 2 + 7 + 400*d - 9 in the form z*d + i and give z.
289
Rearrange -3*u**2 + 2*u**2 - 6*u**2 + (u - 5*u + 3*u)*(-2 - 3*u + 2) + 6 + 4*u**2 - 3 - 2*u**2 to the form m*u + h + r*u**2 and give r.
-2
Express 2*w + 81*w**3 + w**2 + 6*w**2 - 107 - 7*w**2 + 109 in the form c*w + o + r*w**3 + n*w**2 and give r.
81
Rearrange 77*w**4 - 10*w**3 + w - 80*w**4 + 26*w**3 + w**2 to i*w + h*w**2 + k*w**4 + f*w**3 + q and give k.
-3
Express 2 + 0*o - o - 3 + 7*o + o - o + (1 - 1 - 8*o)*(1 + 2 - 1) as b + t*o and give t.
-10
Express (-195*a - 118*a + 67*a)*(1 - 7 + 2) in the form f*a + s and give f.
984
Express (-1 + 1 - 3*c**3)*(11*c - 9 + 9) - 3 - 4 + 2 - c**4 in the form u*c**3 + y*c**4 + k*c + a*c**2 + t and give t.
-5
Express 3 + 133*h**2 - 136*h**2 + 2*h + 2*h**4 - 5 + h in the form l + v*h + u*h**2 + p*h**3 + q*h**4 and give l.
-2
Express (-2*y**4 + 5*y - 5*y)*((0 - 8 - 4)*(4 - 5 + 2) + (0 - 11 + 0)*((0 - 5 + 3)*(1 + 1 + 0) - 1 + 2 + 0)) as r*y + l*y**2 + w*y**4 + q + m*y**3 and give q.
0
Express (67 - 20*k - 67)*(2*k**3 - 4*k**3 + k - k**2 + k**3) as d*k + l*k**4 + v*k**2 + q + j*k**3 and give v.
-20
Express (-27 + q + 27)*((-1 - 1 + 3)*(1 - 2 - 1) + 2 + 2 - 1)*(5 - 1 - 2)*(7*q - 4*q - 4*q) as m*q + v*q**2 + k and give v.
-2
Rearrange (-143*f + 55*f + 59*f)*(-2 + 4 + 6) to the form g*f + z and give g.
-232
Express (-2*n + 0*n + n)*((-5*n + 5*n - n)*(3 + 2 - 1) + (3 + n - 3)*(-6 - 9 - 10) + 0 + n + 0) as p + k*n**2 + d*n and give k.
28
Rearrange 66*s - 58*s - 9*s + 472*s**2 to v + u*s**2 + k*s and give k.
-1
Express 7 + 77*a + 54*a - 102*a in the form s*a + w and give w.
7
Express -546*n**2 + 171*n**2 - 2 + 2 - 376*n**2 in the form i*n + m*n**2 + j and give m.
-751
Express -6*x**2 + 40 - 40 + 6*x**2 + 13*x - 65*x**3 in the form n*x + y*x**3 + c + u*x**2 and give y.
-65
Express -5*n + 66 + 164 + 3*n + n + 0*n as i + s*n and give i.
230
Rearrange (479634*s + 2 + 0 - 479681*s)*(4 - 5 + 0) to the form z + b*s and give b.
47
Express u - 16*u + 1 + 0*u + (2 - 2 + 3*u)*(0 + 0 + 1) + (-2 + 0 + 1)*(-2 + 2 - u) in the form t*u + a and give a.
1
Express (53 - 53 - 4*f)*(4*f + 5 - 5 - 8 - 4*f + 8 + (4 - 3 - 2)*(3*f - 2*f + 0*f) - 3*f - f + 3*f) as u + x*f + n*f**2
|
{
"pile_set_name": "DM Mathematics"
}
|
h term of 76, 160, 248, 340?
2*b**2 + 78*b - 4
What is the t'th term of -22, 22, 138, 362, 730, 1278?
6*t**3 + 2*t - 30
What is the j'th term of -29, -38, -47?
-9*j - 20
What is the k'th term of 15, 15, 13, 9, 3, -5?
-k**2 + 3*k + 13
What is the w'th term of -6, -20, -54, -114, -206, -336, -510, -734?
-w**3 - 4*w**2 + 5*w - 6
What is the j'th term of -56, -101, -146, -191, -236, -281?
-45*j - 11
What is the p'th term of -2604, -2606, -2608, -2610, -2612?
-2*p - 2602
What is the q'th term of -37, -76, -113, -148?
q**2 - 42*q + 4
What is the p'th term of -81, -80, -79?
p - 82
What is the y'th term of -6941, -6945, -6951, -6959, -6969, -6981, -6995?
-y**2 - y - 6939
What is the m'th term of 5, 32, 75, 134, 209?
8*m**2 + 3*m - 6
What is the u'th term of 379, 380, 381?
u + 378
What is the l'th term of -6, 7, 32, 75, 142, 239, 372?
l**3 + 6*l - 13
What is the v'th term of 35, 63, 149, 323, 615, 1055, 1673?
5*v**3 - v**2 - 4*v + 35
What is the j'th term of 13, 1, -19, -47, -83, -127, -179?
-4*j**2 + 17
What is the j'th term of 319, 640, 965, 1294, 1627, 1964?
2*j**2 + 315*j + 2
What is the p'th term of -17, -12, 3, 34, 87, 168, 283, 438?
p**3 - p**2 + p - 18
What is the x'th term of -2140, -2126, -2088, -2014, -1892?
2*x**3 - 2142
What is the i'th term of 13, 31, 55, 85, 121, 163?
3*i**2 + 9*i + 1
What is the f'th term of 32, 30, 14, -22, -84, -178, -310?
-f**3 - f**2 + 8*f + 26
What is the k'th term of 235, 471, 717, 979, 1263, 1575, 1921, 2307?
k**3 - k**2 + 232*k + 3
What is the d'th term of 553, 552, 551, 550, 549?
-d + 554
What is the r'th term of 964, 1913, 2850, 3769, 4664, 5529, 6358, 7145?
-r**3 + 956*r + 9
What is the s'th term of 78, 37, -2, -39, -74, -107?
s**2 - 44*s + 121
What is the b'th term of 66, 178, 364, 624, 958, 1366?
37*b**2 + b + 28
What is the w'th term of -300, -310, -324, -342?
-2*w**2 - 4*w - 294
What is the a'th term of -80, -67, -52, -35?
a**2 + 10*a - 91
What is the b'th term of -3, 4, 11?
7*b - 10
What is the g'th term of -61, -117, -171, -223, -273, -321, -367?
g**2 - 59*g - 3
What is the a'th term of -816, -1630, -2444, -3258, -4072, -4886?
-814*a - 2
What is the p'th term of 17, 33, 57, 89?
4*p**2 + 4*p + 9
What is the y'th term of -5390, -21551, -48486, -86195, -134678, -193935?
-5387*y**2 - 3
What is the u'th term of 191, 717, 1579, 2771, 4287?
-u**3 + 174*u**2 + 11*u + 7
What is the r'th term of 9, 34, 67, 102, 133, 154, 159, 142?
-r**3 + 10*r**2 + 2*r - 2
What is the n'th term of 18, 49, 102, 177, 274, 393, 534?
11*n**2 - 2*n + 9
What is the b'th term of 35, 82, 141, 218, 319, 450, 617?
b**3 + 40*b - 6
What is the g'th term of 7112, 7113, 7114, 7115, 7116, 7117?
g + 7111
What is the l'th term of 3, -1, -9, -21, -37?
-2*l**2 + 2*l + 3
What is the v'th term of -30, -18, 2, 30, 66?
4*v**2 - 34
What is the r'th term of -110, -43, 60, 193, 350?
-r**3 + 24*r**2 + 2*r - 135
What is the w'th term of 5817, 11637, 17457?
5820*w - 3
What is the x'th term of -173, -346, -519, -692, -865, -1038?
-173*x
What is the s'th term of 20, 15, -4, -43, -108, -205, -340?
-s**3 - s**2 + 5*s + 17
What is the v'th term of -108, -192, -274, -354, -432, -508?
v**2 - 87*v - 22
What is the i'th term of 91, 90, 89, 88, 87?
-i + 92
What is the x'th term of -678, -679, -682, -687, -694?
-x**2 + 2*x - 679
What is the k'th term of -51, -104, -155, -204, -251?
k**2 - 56*k + 4
What is the j'th term of -378, -757, -1136?
-379*j + 1
What is the o'th term of -286, -295, -316, -355, -418, -511, -640, -811?
-o**3 - 2*o - 283
What is the s'th term of -47, -45, -43, -41, -39?
2*s - 49
What is the j'th term of -178, -350, -524, -700, -878, -1058?
-j**2 - 169*j - 8
What is the w'th term of -15, -34, -59, -90?
-3*w**2 - 10*w - 2
What is the f'th term of -185, -375, -565, -755?
-190*f + 5
What is the t'th term of -226, -230, -238, -250, -266, -286, -310?
-2*t**2 + 2*t - 226
What is the s'th term of -92, -171, -250, -329, -408, -487?
-79*s - 13
What is the u'th term of -398, -409, -420, -431, -442?
-11*u - 387
What is the b'th term of -231, -226, -209, -174, -115?
b**3 - 2*b - 230
What is the m'th term of 57, 76, 95, 114?
19*m + 38
What is the d'th term of -151, -219, -285, -349, -411?
d**2 - 71*d - 81
What is the m'th term of -45, -89, -133, -177, -221,
|
{
"pile_set_name": "DM Mathematics"
}
|
t of t?
8
Suppose -4*c + n + 59 = 0, -n + 24 + 52 = 5*c. Suppose -728 = -c*k + 14*k. What is the tens digit of k?
2
Let q be -4 + 3 + (1 - -13). Let s be q - (0 - 6/(-2)). Suppose -203 = -4*b - 5*p, 0*p - 2*p - s = 0. What is the units digit of b?
7
Suppose -5*n + 2*h + 3 = -39, 5*n = -5*h + 70. Suppose i - g = n, 3*g - 10 = -22. What is the units digit of i?
6
Suppose -80*j + 524812 + 247028 = 0. What is the units digit of j?
8
Let g = 363 + -358. Suppose 749 = t - a, -g*a - 1012 - 489 = -2*t. What is the hundreds digit of t?
7
Let y be (-16)/88 + (-178)/(-11) + -2. Suppose y*n = 15*n - 3. Suppose -o + 232 = 2*z - 6*o, -n*o + 642 = 5*z. What is the tens digit of z?
2
Suppose 0 = -10*y + 54317 + 84621 + 6242. What is the hundreds digit of y?
5
Suppose 5*z = 5*w - 8800, -1762 = -6*w + 5*w - z. Suppose -y - w = -3*p, 0 = -p - 4*y + 5*y + 589. What is the tens digit of p?
8
What is the units digit of 48814/18 + -1 + 210/189?
2
Let p be (-1)/((4/(-10))/((-100)/125)). What is the units digit of (-24760)/(-48) + (-2)/24*p?
6
Let o = 64531 - 34250. What is the hundreds digit of o?
2
Let o(s) = -2*s**2 + 16*s - 13. Let p be o(7). Suppose -q + 3*w = -1, -w - p = -2. Suppose -2*j - 2 = 0, r + 0*r + q*j - 48 = 0. What is the tens digit of r?
5
Let b = -55 - -58. Suppose -3*a + 4*r - 195 = 0, 0 = -b*a + r - 2*r - 180. What is the units digit of (-2 + (-1 - -2))*a?
1
Let i(q) = -33*q + 286. Let l be i(14). Let x = l - -681. What is the units digit of x?
5
Let m(v) = -942*v + 5433. What is the tens digit of m(-53)?
5
Suppose 0 = 44*z + 935 - 3795. What is the tens digit of z?
6
What is the tens digit of (-1 + (-603)/(-27))/((-1)/(-54))?
5
Let h = -894 - -2541. Suppose -10*a + h = -1553. What is the hundreds digit of a?
3
Let r(s) = 53*s - 1. Let d be r(1). Let g = d - 48. What is the tens digit of g - 5/((-25)/835)?
7
Let i = -5 - 5. Let m be 56/26 + i/65. Suppose -m*c - k = -6, 7*c - 3*c + 5*k = 0. What is the units digit of c?
5
Suppose -174662 = -3*x + 5*q, 29*x + 2*q = 31*x - 116448. What is the units digit of x?
9
What is the tens digit of (-1)/((-6)/48100*16034 - (-3 - -1))?
2
Let d(v) = -34*v**3 - 7*v**2 + 14*v - 10. What is the hundreds digit of d(-3)?
8
Let a(u) = 534*u**2 + 53*u + 181. What is the tens digit of a(-3)?
2
Suppose -46861*w = -46875*w + 411222. What is the thousands digit of w?
9
Let j(y) = 333*y + 107. Let v be j(10). Suppose 5*a + 4685 = 5*q, 4*a - v = -4*q + 311. What is the units digit of q?
7
Let w be (-1374)/(-4)*(3 - (-4 - -5)). Suppose -m + 3*m - 3*q = w, -4*q = -m + 346. What is the tens digit of m?
4
Let b = 185 + -130. Let n = -51 + b. Suppose -u - 3*w + 19 + 0 = 0, n*u + 2*w = 86. What is the tens digit of u?
2
Let b(k) = 504*k + 20. What is the thousands digit of b(7)?
3
Let l = 103 + -100. Let m(d) = 44*d - 9. What is the tens digit of m(l)?
2
Let v(w) = 7*w**2 + 4*w + 2. Let z be v(-2). Let r(i) = 3*i**2 + 5*i - 137. What is the tens digit of r(z)?
2
Let r(q) be the third derivative of -q**6/60 + 31*q**5/30 - 17*q**4/12 + 7*q**3/6 - 5*q**2 - 3*q. What is the hundreds digit of r(30)?
7
Suppose 0 = 87*s - 575613 - 3671118. What is the thousands digit of s?
8
Suppose 95*n = 102*n - 12866. What is the units digit of n?
8
Suppose -80370 = 5*h + v - 275536, -4*h + 156134 = v. What is the ten thousands digit of h?
3
Suppose -41*l - 407725 + 158299 = -68*l. What is the hundreds digit of l?
2
Let l(n) = -n**3 + 25*n**2 - n + 1861. What is the tens digit of l(0)?
6
Let g(n) = 75*n**3 + 5*n**2 - 9*n + 20. Let s be g(4). Suppose 841*y = 845*y - s. What is the hundreds digit of y?
2
What is the tens digit of 6 - -4 - (-19 + 6 - 15882)?
0
Let c(n) = 16*n**2 + 13*n - 34. What is the thousands digit of c(-14)?
2
Suppose -42*a = -20*a - 48642. What is the hundreds digit of a?
2
Suppose 11 = 2*r + 5. Suppose -4*p = i - 12, -4*p - r*i = 2*i - 28. Suppose -4*f + p*f = -100. What is the units digit of f?
0
Let a be 6/4*(-200)/(-45)*-3. Let u be a/(-6) - 4/(0 + 12). Suppose -u*y = 3*p - 301 - 140, -4*y = -4*p - 596. What is the tens digit of y?
4
What is the tens digit of (-6)/7*(-128 + -1125)?
7
Let q = 1308 - -670. What is the tens digit of q?
7
Let n = 62037 - 14151. What is the hundreds digit of n?
8
Let h(g) = 6*g**3 + 31*g**2 - 242*g + 55. What is the hundreds digit of h(10)?
7
Let s(w) = -74*w + 8. Let x be s(2). Let t = -75 - x. What is the tens digit of (t/4)/(15/120)?
3
Suppose 0 = 213*j - 217*j. Suppose 19 + 829 = 3*b + h, -5*h + 10 = j. What is the units digit of b?
2
Suppose 20*r - 12*r + 24 = 0. What is the tens digit of ((-397)/(-4))/(r/(-21 - 3))?
9
Let k = -710 - -1006. Let n = k - 417. Let w = 154 - n. What is the hundreds digit of w?
2
Let v(g) = 15*g**2 + 208*g - 516. What is the hundreds digit of v(-64)?
6
Suppose -2
|
{
"pile_set_name": "DM Mathematics"
}
|
m of -162667, -162649, -162619, -162571, -162499, -162397, -162259?
q**3 + 11*q - 162679
What is the v'th term of 103773, 418593, 944463, 1681383, 2629353?
105525*v**2 - 1755*v + 3
What is the z'th term of 53326076, 106652119, 159978148, 213304157, 266630140, 319956091, 373282004, 426607873?
-z**3 - z**2 + 53326053*z + 25
What is the v'th term of 164433567, 164433563, 164433559, 164433555?
-4*v + 164433571
What is the k'th term of -53548, -105670, -157792?
-52122*k - 1426
What is the m'th term of -1028283, -2056896, -3085509, -4114122, -5142735?
-1028613*m + 330
What is the f'th term of -12956, -25833, -38702, -51557, -64392, -77201, -89978, -102717?
f**3 - 2*f**2 - 12878*f - 77
What is the i'th term of 307456, 1229792, 2767018, 4919134, 7686140, 11068036?
307445*i**2 + i + 10
What is the u'th term of -71474, -71506, -71542, -71582?
-2*u**2 - 26*u - 71446
What is the s'th term of 2883, 11295, 25305, 44907, 70095, 100863?
-s**3 + 2805*s**2 + 4*s + 75
What is the i'th term of -756367, -1512735, -2269103?
-756368*i + 1
What is the h'th term of 14666, 29212, 43554, 57590, 71218, 84336, 96842?
-17*h**3 + 14665*h + 18
What is the d'th term of -88054, -88084, -88118, -88156, -88198?
-2*d**2 - 24*d - 88028
What is the p'th term of 2440, -11771, -50344, -125459, -249296?
-2030*p**3 - p**2 + 2*p + 4469
What is the u'th term of 16788, 134239, 453052, 1073907, 2097484, 3624463, 5755524?
16780*u**3 + u**2 - 12*u + 19
What is the x'th term of -42, 225, 726, 1485, 2526, 3873?
4*x**3 + 93*x**2 - 40*x - 99
What is the z'th term of -971458, -1942896, -2914340, -3885796, -4857270, -5828768, -6800296, -7771860?
-z**3 + 3*z**2 - 971440*z - 20
What is the b'th term of -125, -192, -301, -470, -717, -1060, -1517?
-3*b**3 - 3*b**2 - 37*b - 82
What is the x'th term of -23607, -23560, -23503, -23430, -23335?
x**3 - x**2 + 43*x - 23650
What is the g'th term of 3530378, 7060771, 10591150, 14121509, 17651842?
-g**3 - g**2 + 3530403*g - 23
What is the q'th term of 11635, 13581, 15527, 17473, 19419, 21365?
1946*q + 9689
What is the g'th term of 6176, 12280, 18294, 24182, 29908, 35436, 40730, 45754?
-6*g**3 - 9*g**2 + 6173*g + 18
What is the y'th term of 1539063501, 1539063505, 1539063511, 1539063519, 1539063529, 1539063541, 1539063555?
y**2 + y + 1539063499
What is the a'th term of 10220, 41386, 93320, 166016, 259468?
-a**3 + 10390*a**2 + 3*a - 172
What is the l'th term of 3904, 3514, 2870, 1972, 820, -586, -2246?
-127*l**2 - 9*l + 4040
What is the z'th term of -2002807, -2002811, -2002815, -2002819?
-4*z - 2002803
What is the y'th term of -17116, -65464, -146044, -258856, -403900, -581176, -790684?
-16116*y**2 - 1000
What is the o'th term of 27484, 27394, 27326, 27292, 27304, 27374, 27514?
2*o**3 - o**2 - 101*o + 27584
What is the o'th term of -188833, -189001, -189169, -189337, -189505, -189673?
-168*o - 188665
What is the z'th term of -1850722, -3701432, -5552142?
-1850710*z - 12
What is the y'th term of -3574, -5996, -8422, -10852, -13286?
-2*y**2 - 2416*y - 1156
What is the j'th term of 5606, 22444, 50506, 89792, 140302, 202036?
5612*j**2 + 2*j - 8
What is the j'th term of 20567442, 41134840, 61702236, 82269630, 102837022?
-j**2 + 20567401*j + 42
What is the p'th term of -2878298, -2878244, -2878190?
54*p - 2878352
What is the f'th term of -22162647, -44325298, -66487949, -88650600, -110813251, -132975902?
-22162651*f + 4
What is the u'th term of -277, -557, -993, -1561, -2237, -2997?
4*u**3 - 102*u**2 - 2*u - 177
What is the a'th term of -557, -2573, -6051, -10991, -17393?
-731*a**2 + 177*a - 3
What is the r'th term of -85555, -85601, -85745, -86035, -86519, -87245, -88261, -89615?
-8*r**3 - r**2 + 13*r - 85559
What is the j'th term of 728, 8690, 21960, 40538?
2654*j**2 - 1926
What is the z'th term of 15918, 14803, 12944, 10341, 6994, 2903, -1932?
-372*z**2 + z + 16289
What is the o'th term of 33105, 131647, 295879, 525801, 821413?
32845*o**2 + 7*o + 253
What is the q'th term of 41533950, 41533945, 41533940, 41533935, 41533930?
-5*q + 41533955
What is the r'th term of -28397, -113936, -256501, -456092, -712709, -1026352, -1397021?
-28513*r**2 + 116
What is the k'th term of 90405, 92152, 93899, 95646, 97393?
1747*k + 88658
What is the o'th term of -10717957, -10717956, -10717955, -10717954, -10717953?
o - 10717958
What is the n'th term of -388835, -778449, -1168063, -1557677, -1947291, -
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Suppose -3*s = 4*h - 82544, 13*s - 5*h - 137550 = 8*s. Is s a multiple of 44?
False
Let p = 2064 - -13424. Is 11 a factor of p?
True
Let d = -178 - -78. Let t = d + 300. Is 8 a factor of t?
True
Suppose 2*x = 4, -7*x + 2*x = -5*k + 20. Let z(h) = 4*h**3 + 4*h**2 - 51*h - 3. Is 7 a factor of z(k)?
False
Suppose -7*k = -10*k + 18. Let f(h) = -h**3 + 6*h**2 - 6*h. Let v be f(k). Let d = v - -62. Does 26 divide d?
True
Suppose -2*n + 4*n = 4, -2804 = -4*q + 2*n. Is q a multiple of 11?
False
Let z(w) = 51*w**2 + 5*w - 2. Let c(v) = 6*v - 56. Let t be (-2)/7 + 130/14. Let q be c(t). Does 30 divide z(q)?
False
Let s(a) be the first derivative of 7*a**4/12 + a**3/6 + 3*a**2/2 + 3*a + 7. Let w(c) be the first derivative of s(c). Is 29 a factor of w(-2)?
True
Let j be (-152)/(-6)*(-13 - -16). Suppose 0 = k + 5, -3*y - k - 218 = 0. Let t = y + j. Is t a multiple of 5?
True
Let b = 9 - 11. Let p(k) = 82*k**2 + 4*k - 3. Let x be p(b). Let f = x - 198. Does 19 divide f?
False
Let q(z) = 58*z - 113. Let d be q(2). Let g(l) = -10*l + 8. Let k be g(-6). Suppose -d*m = -k + 14. Does 3 divide m?
True
Suppose -4*i - 5*x = 1 - 8, -2*i = 2*x - 4. Suppose 4*z - 1343 = -i*c, 3*c = z + 1926 - 578. Is c a multiple of 14?
False
Suppose 2*f + 3 + 5 = 0. Let s be -1*f/(-22) + 310/11. Let d = s + 20. Is 5 a factor of d?
False
Suppose -5*o - 45 = 5*c - c, 0 = 2*c + 5*o + 25. Is 2 a factor of (1/(-5) - 357/c)*2?
False
Suppose 25*s - 9729 = -3404 + 5100. Is 8 a factor of s?
False
Suppose 4*a + 1 = 3*a + 2*r, -2*a - 2*r = -16. Suppose -3*s - a*n + 134 = 0, 0 = n - 5*n + 16. Suppose s = j - 180. Does 28 divide j?
False
Suppose -28*o + 162584 = 16788. Does 10 divide o?
False
Let y = 84 - 5. Let u = y - 89. Does 4 divide (608/u)/(-1) + 21/105?
False
Suppose 0 = -3*r - 5*x + 28, 2*r + 24 = 5*r + 3*x. Suppose -r*u + 869 = -409. Does 12 divide u?
False
Let z = 9772 + -5768. Suppose 0 = 2*h + 2*x - z, -2*x + 8008 = h + 3*h. Is h a multiple of 13?
True
Let a(r) = 25*r**2 + 208*r - 36. Does 66 divide a(-24)?
True
Let b(z) = 2*z**2 + 3*z - 2. Let y be b(-2). Suppose 2*j - 4*p + 0*p - 90 = y, 0 = -5*j + 2*p + 265. Suppose l + j - 209 = 0. Is 14 a factor of l?
True
Suppose -3*q + 17438 = -11*s + 15*s, 0 = q - 2*s - 5816. Is 102 a factor of q?
True
Is 47 a factor of 197*(-736)/(-16) + 9?
True
Let c(a) = -122*a - 554. Let l be c(-5). Let k = 88 - -66. Let j = k - l. Is 14 a factor of j?
True
Suppose 2*n = 5*t + 57, t + 47 - 2 = 2*n. Suppose n*g + 6*g = 6885. Does 49 divide g?
False
Suppose 5*l = 6*b - b + 255, 5*l - 2*b = 267. Let k = 78 - l. Suppose k*x - 25*x + 456 = 0. Is 19 a factor of x?
True
Let p = -48 - -47. Let v be ((-1)/(-3))/(p/(-18)). Suppose -x + 4*a + 62 + v = 0, -a = -4. Does 22 divide x?
False
Let p be 3*(-10)/(-45)*3273. Suppose -x + 497 + 56 = q, p = 4*q - 2*x. Does 57 divide q?
False
Suppose -36*x + 56827 = -24*x + 8587. Is 67 a factor of x?
True
Let z(g) = -2*g**3 - 14*g**2 + 18*g - 61. Let v(s) = s**3 - s**2 + s + 2. Let b(t) = 3*v(t) + z(t). Is b(16) a multiple of 17?
False
Let w = 781 - 774. Does 7 divide w*(8694/49)/9?
False
Suppose -134525 = -5*l + 5*k, -40 = -4*k - 20. Does 78 divide l?
True
Suppose 22932 = 67*x - 49*x. Is x a multiple of 3?
False
Suppose -2*a = 114 + 744. Is 15 a factor of 1 - a/3 - 8/2?
False
Let p = 7 - 24. Suppose 30*b = 27*b - 435. Let z = p - b. Is z a multiple of 9?
False
Let y be 19 + -5*(-10)/25. Suppose -y*j + 3753 = -12*j. Is j a multiple of 12?
False
Is 341 + 1079 + (18/4)/(-3)*-2 a multiple of 3?
False
Suppose -5*u - 14 = t + 5, -5*t = 4*u + 32. Let b(s) be the first derivative of -s**4/4 + 2*s**3/3 + 2*s**2 - 2*s - 144. Is 5 a factor of b(u)?
False
Let c = 2141 + 209. Suppose -4*t - t - 5*j = -2360, 5*t - 5*j - c = 0. Is t a multiple of 6?
False
Suppose 5*u - 269892 = -23*u - 8*u. Is 126 a factor of u?
False
Let m = -410 + 415. Let a(c) = 32*c - 28. Does 12 divide a(m)?
True
Suppose z = h + 8633, 5*h = 2*z - 9098 - 8147. Does 104 divide z?
False
Suppose -13*d + 397 = 1450. Let k = d + 95. Is (k/8 + -1)/(1/104) a multiple of 6?
True
Let j be (-1)/(-2) - (-117)/2. Let r = -13976 + 13974. Let n = r + j. Is n a multiple of 19?
True
Let p(c) = -2*c + 40. Let k be p(14). Let d = 11 - k. Is (d*2/(-6))/((-9)/(-1053)) a multiple of 10?
False
Suppose -2530 = -5*n + 5*z, 253*n + 4*z = 251*n + 1000. Is n a multiple of 72?
True
Suppose -5*d + 2881 = -394. Is 15 a factor of d?
False
Let j be (-27)/9 - (3 + -6). Is 23 a factor of 258*1 + -2 + (0 - j)?
False
Let r = 34 + -31. Let t(j) = 14*j - 8. Let o be t(r). Suppose d -
|
{
"pile_set_name": "DM Mathematics"
}
|
4*sqrt(2) + 137/2
Simplify -5*(sqrt(153) + (sqrt(153) + (sqrt(153) + 1*sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153))*3)/(-4*sqrt(45)/sqrt(5)).
20*sqrt(17)
Simplify (sqrt(80) + 0)*1 + 1 + sqrt(80) + -3 - (-3*1*sqrt(35) - sqrt(35))/(1*sqrt(28) + sqrt(28) - sqrt(28)).
-2 + 10*sqrt(5)
Simplify (-3 + 1 + sqrt(343) + 3)*1.
1 + 7*sqrt(7)
Simplify ((sqrt(15) - (-1*sqrt(75) - sqrt(75))/sqrt(5)) + sqrt(15))/(sqrt(3) + sqrt(30)/(sqrt(30)/sqrt(3) + sqrt(10) - sqrt(10)))*1*4.
8*sqrt(5)
Simplify 5*(sqrt(1331) + 2*sqrt(1331)) + (-6*-1*sqrt(1331) - sqrt(1331)) - (-3 + (4*sqrt(1331) - sqrt(1331))**2*4).
-47913 + 220*sqrt(11)
Simplify -1 + -2 + -1*sqrt(20) + -5.
-8 - 2*sqrt(5)
Simplify ((sqrt(5040)*2)/(sqrt(5)*2*-1 + sqrt(5)))**2*-1 + -3.
-4035
Simplify (sqrt(20)/sqrt(4)*2 + sqrt(25)/(sqrt(30)/sqrt(6)) + sqrt(5) + -4 + sqrt(125) + 1 + 1)**2.
-36*sqrt(5) + 409
Simplify (-4 + -5*(0 + sqrt(1088)) - 1*sqrt(1088)*-2*-6)**2.
1088*sqrt(17) + 314448
Simplify ((-5*(-1 + sqrt(832)) - sqrt(832)) + sqrt(832) + 0 + -1 - -5*(-4 + sqrt(832) + -1 + sqrt(832)))**2.
-1680*sqrt(13) + 21241
Simplify -1*(sqrt(12)*2 - sqrt(12))*2 + (sqrt(1728) + sqrt(3) + sqrt(480)/sqrt(10))**2.
-4*sqrt(3) + 2523
Simplify (2 + 2*sqrt(704)*3 + -3)*4.
-4 + 192*sqrt(11)
Simplify 6*(sqrt(19) + (sqrt(19) - (sqrt(19) - sqrt(19)*3)) + -1) + 5 + (sqrt(19) + -3)*-4.
11 + 20*sqrt(19)
Simplify 2 + (-5*(sqrt(1584) + -2) + -1 + sqrt(1584)*-1)**2.
-1296*sqrt(11) + 57107
Simplify -1*(sqrt(75) - ((sqrt(75) + 3*(-1 + sqrt(75)))**2 + sqrt(75)) - (3 + (sqrt(75) + 0 - sqrt(75)))**2 - ((-1 + sqrt(75))*-3 + sqrt(75)*1*-5)).
-160*sqrt(3) + 1221
Simplify 5 + 5 + (-1 + (sqrt(153) + 0 - sqrt(153)) + -6*sqrt(153)*-1 + -2)**2.
-108*sqrt(17) + 5527
Simplify ((sqrt(588) - 1*sqrt(588))*-1)/(sqrt(726)*-2*2).
0
Simplify (sqrt(55) + (sqrt(55)*-6 + sqrt(55))*4)/(sqrt(22)/(sqrt(2)*-1)).
19*sqrt(5)
Simplify -2 + -4*(sqrt(900)*1)/(sqrt(3) + sqrt(33)/sqrt(176)) + -3.
-32*sqrt(3) - 5
Simplify (-2*sqrt(396)*3 - sqrt(99)/sqrt(144)*5)**2.
244211/16
Simplify ((sqrt(19) + sqrt(19) + -1)*2 - (-5 + (sqrt(19)*2)**2)) + -1 - (2 + (sqrt(76) - (sqrt(76) - (sqrt(76) + -2))))*3.
-74 - 2*sqrt(19)
Simplify ((sqrt(304) - sqrt(304)*-2)/sqrt(8) + sqrt(3800) + sqrt(3800)*-2 + sqrt(3800))/((sqrt(3456) - sqrt(3456)*3)/sqrt(12)).
-sqrt(19)/8
Simplify (sqrt(567) - 6*(sqrt(567) - (sqrt(567) - sqrt(567)*3)) - (5 + 0 + sqrt(567) + sqrt(567)))**2.
1710*sqrt(7) + 204712
Simplify 3*(0 + 0 + sqrt(162))**2 + (sqrt(162) + (sqrt(162) + 1 - sqrt(162)) + 0 - (-5 + sqrt(162)*-1))**2.
216*sqrt(2) + 1170
Simplify 3 + (-2*sqrt(448)*1 + 2 + 4)**2.
-192*sqrt(7) + 1831
Simplify (-3*sqrt(72)*-1)/((sqrt(36) + (sqrt(36)*-1 - sqrt(36)))/sqrt(4)*4).
-3*sqrt(2)/2
Simplify 2*((-4*1*sqrt(40))/((2*sqrt(24))/sqrt(3)))**2.
40
Simplify (-1 + 3 + (sqrt(288) - ((sqrt(288) - (sqrt(288) + -1 + sqrt(288) + sqrt(288)) - sqrt(288)) + 5 + sqrt(288))) + 5 + -2)**2.
-72*sqrt(2) + 2593
Simplify -4*(5 + sqrt(2)*-2 + sqrt(2)) - 6*(-3*sqrt(6))/sqrt(3).
-20 + 22*sqrt(2)
Simplify (sqrt(9)/(sqrt(240)/sqrt(5)))**2 - ((sqrt(147) + -1)*2)**2.
-9469/16 + 56*sqrt(3)
Simplify 3*((-3*(sqrt(2) + 1 - sqrt(2)))**2 - (sqrt(2) + sqrt(54)/sqrt(3))) + 0 + -1 + -1.
-12*sqrt(2) + 25
Simplify ((6*sqrt(360) - sqrt(10))*-5)/(3*-2*sqrt(5)*-1).
-175*sqrt(2)/6
Simplify (3*(-2 + sqrt(112)) - ((-2*sqrt(112))**2 + 0)) + -3 + 0.
-457 + 12*sqrt(7)
Simplify ((-4 + sqrt(108) + 0 + sqrt(108) - sqrt(108) - sqrt(108) - sqrt(108))**2 + 2)*-6.
-756 - 288*sqrt(3)
Simplify ((sqrt(153)*2 - sqrt(153))/sqrt(9) + sqrt(17) + 2)*-4 + (2 + (-1 + sqrt(17) - sqrt(17)) - (6*sqrt(102)/sqrt(6))**2).
-619 - 8*sqrt(17)
Simplify (1*sqrt(4032) + sqrt(4032) + 5 + 2)**2.
672*sqrt(7) + 16177
Simplify ((-6*(2 + sqrt(405)))**2 - (sqrt(165)/sqrt(3)*-6)/sqrt(11)) + 1.
1302*sqrt(5) + 14725
Simplify 6*(-2 + (sqrt(704)*4)**2 + (sqrt(704) + 0)**2 + 3).
71814
Simplify (-4*(sqrt(75)*1 + sqrt(75) + -3 + 2*sqrt(75) + 1))**2.
-1280*sqrt(3) + 19264
Simplify (-4*(sqrt(567)*-2*-3 + 2*sqrt(567) + 3))**2*3*4.
82944*sqrt(7) + 6969024
Simplify (3*-2*5*(5 + -2*sqrt(1900)))**2.
-180000*sqrt(19) + 6862500
Simplify 2*((sqrt(35)*-1*-6)/(sqrt(42)/(sqrt(12)/sqrt(2))) + 2)**2.
48*sqrt(5) + 368
Simplify ((sqrt(65)/sqrt(5) + 2 - sqrt(13)) + -1)**2 + (sqrt(130) + -1*(sqrt(130) - -1*sqrt(130) - sqrt(130)))/sqrt(10).
1
Simplify (-1*sqrt(833) - sqrt(833))*-1 + (sqrt(2448) - (2 + sqrt(2448)))*-6.
12 + 14*sqrt(17)
Simplify 4 + 2*sqrt(605
|
{
"pile_set_name": "DM Mathematics"
}
|
common factor of h and x?
3
Suppose -23 = -5*s + 2*k, 5*s - 4*k - 35 = k. Let w be (2 - s) + -1*(-4)/1. Calculate the greatest common factor of w and 2.
1
Suppose -2*w - 2*w - 3*a = -115, 3*a + 71 = 2*w. Calculate the greatest common divisor of w and 31.
31
Suppose 0 = 14*s - 6*s + 24. Let l(b) = -b**3 - 2*b**2 + 1. Let z be l(s). Calculate the highest common factor of 10 and z.
10
Suppose 15 = -q + 23. What is the highest common factor of q and 2?
2
Suppose 2*s - 6 = 22. Let q(b) = -17*b + 7*b + 2*b**3 - b**3 + 12*b - 3 - 5*b**2. Let p be q(5). Calculate the highest common divisor of s and p.
7
Suppose s + 0 = -9. Let p = s - -12. Calculate the greatest common factor of p and 2.
1
Let z(m) = -m - 11 - 2*m**3 - 3*m + 4 - 4*m**2 - 3*m. Let p be z(-4). Let w = -47 + 81. What is the highest common divisor of w and p?
17
Suppose -3910 = -3*p + 2498. Let o be p/60 + (-3)/5. What is the highest common divisor of o and 245?
35
Suppose -10*k = -15 - 165. Let p(j) = -j**3 - 2*j**2 + 6*j. Let z be p(-5). Calculate the highest common divisor of k and z.
9
Suppose 0*m - 2*k = -m - 5, 0 = -5*m + 3*k + 10. Suppose -144 = w - m*w. Calculate the greatest common factor of w and 90.
18
Suppose 19 = 2*o + 3*s, 3*o - 3*s - 57 = 2*s. Suppose -f + 2 + o = 0. Let h be (-7 - -8)*(14 - -2). Calculate the greatest common divisor of h and f.
16
Suppose -j - 945 = -p - 2*p, 5*j = p - 315. Let a be -1*4*p/(-20). Let s = 21 - 14. What is the greatest common divisor of a and s?
7
Let f = 9 - 7. Suppose 7*u = 8*u - 5. Suppose -g = -0*g + u*l - f, 3*g - 6 = -l. What is the highest common factor of 4 and g?
2
Suppose 3*m - 460 = 4*g, -2*m - 2*g - g = -301. Let r = 477 + -458. Calculate the greatest common divisor of r and m.
19
Suppose -h = 4*b - 54, 4*b - 53 = -2*h - 1. Suppose 0*d = -4*d + 84. Calculate the highest common factor of b and d.
7
Suppose -43 = -11*k + 45. Calculate the highest common factor of 128 and k.
8
Let z(b) = 5*b**2 + 11*b - 57. Let l be z(6). Let x be 2 + 25 - (-2 + 2). Calculate the greatest common divisor of l and x.
27
Suppose -2*v + 0*v + 2*p + 84 = 0, v + 5*p - 42 = 0. Calculate the highest common factor of v and 18.
6
Let k(u) = 19*u - 192. Let n be k(16). What is the highest common divisor of 42 and n?
14
Suppose w + 3*x + 3 = -0*w, 5*w = 4*x - 110. Let s be ((-9)/6)/(3/w). Suppose 81 = 3*c - 0*c. Calculate the greatest common factor of s and c.
9
Suppose 0 = 12*g - 14*g + 204. What is the greatest common factor of 136 and g?
34
Suppose 0 = w - 91 - 35. Let v(s) = 2*s**2 - s - 2. Let k be v(2). Suppose -2*h - 28 = -k*h. What is the highest common factor of w and h?
14
Let j(a) = 30*a**2 + 12*a + 9. Let g be j(-4). Calculate the greatest common factor of 1176 and g.
147
Suppose -4*n + 4 = 12. Let o be 4*n/((-8)/11). Let x be (-99 - -101)*11/2. Calculate the greatest common divisor of x and o.
11
Let z = 0 + 28. Suppose 2*p - 7*p = 0. Suppose 2*a - 3 - 3 = p, -k + 4*a = -58. Calculate the highest common factor of k and z.
14
Let l be ((-808)/168 + (-2)/(-14))*3. Let g(q) = -4*q - 51. Let r be g(l). Calculate the greatest common divisor of r and 10.
5
Let g(f) = -105*f - 1. Let l be g(-1). Suppose -2*u = 40*u - 3276. Calculate the highest common divisor of l and u.
26
Suppose -3*p - 12 = 3*b, -2*b = 2*p + 2*p + 8. Suppose p = 4*x + 4*j + 33 - 569, 5*x + 3*j = 672. Calculate the highest common factor of 15 and x.
15
Let b = 20 + -17. Let u be b/(-4) + 3717/12. Let t be (-3)/(-6) - u/(-6). What is the highest common factor of t and 26?
26
Suppose o + 4*i = 45, 5*o + i = -0*o + 130. Let f = 26 - 21. Suppose 3*b - 112 = -2*w, 4*w + 0*b - 180 = f*b. Calculate the greatest common factor of w and o.
25
Let k be ((-10)/4)/(2/(-52)). Let f = k - 55. What is the highest common divisor of f and 5?
5
Let f be 6/3*(-2)/(-4). Let u be 10*f*(-8)/(-16). What is the greatest common divisor of u and 25?
5
Suppose 3*t - 21 = -3*a, -4*a + 26 - 7 = t. Suppose 0 = a*b - 3*b. Suppose g - 9 - 1 = b. What is the greatest common factor of g and 30?
10
Let s be 5/(-4) + (-1)/(-4). Let p be (6/(-4))/(35/(-14) - -3). Let v be p - (-65 + (s - -3)). What is the highest common factor of 40 and v?
20
Suppose -2*p + 5*b - 3130 = -7*p, -5*b = -4*p + 2513. Calculate the greatest common factor of 114 and p.
57
Let g = 116 - -4. Calculate the greatest common divisor of g and 72.
24
Let n(c) = 7*c**2 + 4*c - 17. Let v(u) = u**2 + u. Let k(t) = n(t) - 3*v(t). Let p be k(5). What is the greatest common factor of 8 and p?
8
Let a be 2040/18 - 2/(-3). What is the greatest common factor of a and 266?
38
Let h(q) be the second derivative of -4*q - 5/2*q**3 - 1/20*q**5 + q**2 + 4/3*q**4 + 0. Let w be h(15). What is the highest common factor of 16 and w?
2
Suppose 5*r - 3*t - 6 = 0, -4*r + 3*t = -7*r + 18. Suppose 0 = -r*m + 7*m - 500. Calculate the highest common factor of m and 25.
25
Let p = -13 + 29. Let u(x) = -2 + 39*x + p*x - 5 + 5. Let d be u(2). What is the greatest common factor of 12 and d?
12
Suppose 2*u - 10 = 2*f, 7 = -2*f + 1. Suppose 24 = 2*r - 5*w, 5*r = -u*w + 49 + 11. Suppose 19*m = 8*m + 1452. Calculate the greatest common divisor of m and r.
12
Suppose 4*w - 3*w - 34 = 0. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
*y - 191, 2*y - 6*l + l - 102 = 0. Suppose y + 14 = 5*n. Let z be ((-6)/n)/(-1 + 4/5). What is the nearest to z in 3/7, -2/7, -2?
3/7
Let y(x) = -152*x - 6538. Let r be y(-43). Which is the nearest to 0.6? (a) 4/5 (b) 12/11 (c) 1/3 (d) r
a
Let n = -196.2 - -248. Let o = n + -52. Let l = 0.33 - 3.33. Which is the nearest to o? (a) -4 (b) -0.2 (c) l
b
Let n = -1.06 + 1.56. Suppose 2*m - 14 = -64. Let t be m/35 + -1 + 2. What is the closest to 0.1 in n, t, -3?
t
Let z = -1.2 + 1.5. Let x(r) = 5*r + 12. Let p be x(-4). Let v be 84/(-16) - (-6)/p. Which is the nearest to -1/2? (a) v (b) -5 (c) z
c
Suppose -7*x + 2*x + 21 = -3*u, -3*x + 1 = 4*u. What is the nearest to x in -0.3, 167, -4/5?
-0.3
Let d be ((-1)/4)/(2 + -1). Let n = -9940 + 9939.6. Which is the nearest to 0? (a) d (b) n (c) 0.1
c
Let r = 89 + -94. Let v be r*(135/(-25) + 4). Let c be v - 88/12 - 14/30. What is the nearest to 8 in c, 5, 3?
5
Let v be 6*((-1)/(-2) - 0). Suppose 1 = 4*z - v*z. Let t be (0/z + -1)*4/10. Which is the closest to t? (a) 5 (b) -5 (c) -7
b
Let i = -5646 + 5646.2. Which is the nearest to 0.08? (a) 2/5 (b) i (c) 31 (d) -0.1
b
Let w be (-2)/(-6) - (-6)/(-54). Let a = 1/1208 + 2411/6040. What is the nearest to -1 in a, w, -3?
w
Let q(g) = g**3 - 5*g**2 - 2*g + 14. Let r be q(5). Which is the closest to 0? (a) r (b) 11 (c) -0.2 (d) 5
c
Let s be (-10)/12*336/392 - -1. Which is the nearest to -3? (a) s (b) 0.22 (c) 18
b
Let s = -2021.3 - -2021.4. Which is the closest to s? (a) -2 (b) -0.5 (c) 0.5 (d) 66
c
Suppose 9*i - 4*i = -3*l + 186, -170 = -5*i + 5*l. Suppose -i = -12*h + 12. Let f = 1.37 - -1.63. Which is the closest to h? (a) f (b) 0 (c) 2/7
a
Let z = -7829 + 7833. What is the closest to -7/2 in -3, -3/2, -0.08, z?
-3
Let z = -64.1942 + 0.1942. Let w = -0.07 - -66.07. Let r = z + w. Which is the closest to r? (a) 0.3 (b) 0.2 (c) -0.5
a
Let h = -11.41 - 11.99. What is the nearest to 0 in h, -4, 0.3?
0.3
Suppose s - 11 = 11*x, x - 5 = 6*x - 3*s. Which is the closest to x? (a) 1/3 (b) 2/11 (c) -44
b
Let w be 2/18 + (-2)/(-9). Let o = 246 - 243. Let g = 20.7 - 19.7. Which is the closest to w? (a) o (b) g (c) -5
b
Let t(c) = -c**3 + 7*c**2 + c + 11. Let v be t(7). Suppose v*r - 22*r = -16. Suppose -r*q + 0*q + 4 = 0. What is the nearest to 0.2 in -5, q, -0.05?
-0.05
Let n = 490.8 - 129. Let b = -363 + n. What is the closest to 2 in b, -2, -0.3, -5?
-0.3
Let m = 31 - 31. Let h = -0.02 + 128.02. Let t = h + -127.95. What is the closest to m in -3/5, t, -0.5?
t
Let d = -13 - -12.917. Let s = 0.117 - d. What is the closest to -0.1 in s, -0.5, 0.1, 1?
0.1
Let z = 13222.2 - 13222. Let d be ((-15)/20)/(1/4). Let h = d + 7. What is the nearest to z in -0.04, h, -2?
-0.04
Let o = 1683.6 - 1684.5. What is the nearest to o in -2, -3, -0.6, 4?
-0.6
Let k = -2.3 - -2. Let s(o) = 3*o**3 - 2*o**2 + 7*o - 18. Let i be s(2). Suppose -5*m - 22 = -i. Which is the nearest to 0? (a) 4 (b) m (c) k
c
Let p = 221 + -306. Let s = p - -88. Which is the closest to 9? (a) -0.4 (b) 5 (c) s
b
Suppose 64*u + 171 = 235. What is the nearest to -2/3 in 271, -0.9, 0.4, u?
-0.9
Let i be (-288)/(-32) - -30*(-36)/112. Which is the closest to i? (a) -3 (b) 0.3 (c) -0.9
c
Let f be (1314/27)/((-1)/(-15)). Suppose -4*o - 1246 = -5*g, -3*g - 2*o + f = -0*g. Let i = g - 1226/5. What is the nearest to 1 in 2, i, 0.5?
i
Let i be (-118)/108 - (-7 + 6). Let m = i - 1/54. Let x = 379 + -382. Which is the nearest to 0? (a) -0.5 (b) m (c) x
b
Let t(o) = 5*o**2 - 11*o + 13*o - 4 - 5 + 0 + o**3. Let r be t(-4). Let n = -12 - -12. Which is the nearest to r? (a) 5/4 (b) n (c) -4
b
Let h = -3.0465 - -0.0465. What is the closest to -0.1 in h, -31, 51?
h
Let i = -47.63 - -47.13. Which is the closest to 1? (a) -2/5 (b) 0.1 (c) i (d) -0.02
b
Let m = 35107/23402 - 2/11701. What is the nearest to 0 in 5, -86/9, -3, m?
m
Let n = 731 + -729.825. Let i = n - 0.775. Suppose 2*s + 3*s = -4*d - 4, -4*s - 36 = -5*d. What is the closest to -0.1 in s, -2, i?
i
Let l(w) = -5*w + 3. Let u(a) = 12*a - 6. Let i(t) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -107*y**2 - 14*y**2 - 222*y**2 - 91*y + 91*y. What is f(j(z))?
117649*z**4
Let s(l) = -l**3 + 6*l**2 - 2*l - 3. Let a be s(2). Let d(b) = 15*b - 19*b - a*b. Let m(j) = -4*j. What is m(d(q))?
52*q
Let f(k) = -k**2 - 40*k. Let x(r) be the second derivative of 13*r**3/6 - 237*r + 1. What is f(x(c))?
-169*c**2 - 520*c
Let r(u) = 1422468*u**2. Let v(x) = 4*x. Give v(r(l)).
5689872*l**2
Let q(t) = -9*t**2. Let w(k) = -11672241*k**2. Give q(w(j)).
-1226170889658729*j**4
Let i(m) = 33*m - 21. Suppose -5*t - 3*u = -2*t + 18, 9 = -2*t + u. Let b(s) = -8*s + 5. Let g(q) = t*i(q) - 21*b(q). Let x(v) = -5*v. Calculate x(g(o)).
-15*o
Let q(g) = 24442*g - 505. Let y(x) = -77*x - 3. Let p(n) = 4*n - 1. Let r(l) = 5*p(l) - y(l). Let v(w) = 2*q(w) - 505*r(w). Let o(d) = -d**2. Determine o(v(c)).
-10201*c**2
Let v(r) = 9*r**2. Suppose 2*p + 5*i + 9 = 0, -2*p + 0*i - 3 = 3*i. Let x(h) = -13*h + p*h + 2*h + 5*h. Give x(v(k)).
-27*k**2
Let g(t) = -24433*t**2. Let j(m) = 36693*m**2. Determine g(j(v)).
-32896010891817*v**4
Let a(n) be the third derivative of n**4/8 - n**2. Let s(q) be the first derivative of -2*q**2 + 8*q + 11757. What is s(a(y))?
-12*y + 8
Let q(c) = -3853*c - 5 + 5 + 6802*c. Let i(l) = -2*l**2. Determine q(i(w)).
-5898*w**2
Let z(a) = -2*a - a**2 + 3*a - 3*a + 2*a. Let v(r) = 976*r**2. What is z(v(s))?
-952576*s**4
Let m(s) = 8179*s - 16355*s - 4*s**2 + 8176*s. Let v(l) = -27*l**2 - 27. Let n(a) = -1. Let b(u) = -27*n(u) + v(u). What is b(m(c))?
-432*c**4
Let y(i) be the second derivative of -i**3/6 - 7*i. Let a(f) be the first derivative of f**2/2 + 19*f + 7474. Calculate y(a(q)).
-q - 19
Let h(b) = 2*b**2. Let j(p) = 919*p**2 + 7703. Calculate j(h(a)).
3676*a**4 + 7703
Let f(w) = 5*w. Suppose -3*x = -3*g + x + 8, -2*g = -4*x - 8. Let u(q) be the second derivative of 0*q**3 - 31*q + 0 + g*q**2 + 1/12*q**4. Give f(u(z)).
5*z**2
Let i(q) = -9 + 4 + 4 - 73*q. Let v(j) = 2*j. Determine v(i(f)).
-146*f - 2
Let i(f) = -51927073*f. Let g(v) = 3*v. Determine i(g(m)).
-155781219*m
Let y(k) = k + 3*k + k - 8*k. Let u(x) = -13*x + 8. Let s(o) = -215*o + 135. Let m(i) = -3*s(i) + 50*u(i). Calculate m(y(w)).
15*w - 5
Let v(c) = c. Let o be (-548)/(-20) + 12/(-30). Suppose -o*m = -26*m. Let b(p) = -p + m - 2 + 2. Determine b(v(n)).
-n
Let l(j) = -j**2. Let c(w) = 162*w**2 - 6*w - 4. Let v(z) = 161*z**2 - 8*z - 6. Let r(k) = -4*c(k) + 3*v(k). Give l(r(o)).
-27225*o**4 - 660*o**2 - 4
Let j(b) = -682*b**2 + 478*b**2 - 223*b**2 - 1322*b**2. Let k(o) = 2*o**2. Give k(j(v)).
6118002*v**4
Let g(n) = -355170*n. Let o(y) = 4*y. Determine g(o(s)).
-1420680*s
Suppose 8*j - 15*j + 42 = 0. Let m(r) = -2 - j + 10 - 2 + r. Let d(b) = -100*b**2. What is m(d(w))?
-100*w**2
Let t(i) = 274*i + 5397. Let z(f) = 3*f. Determine t(z(w)).
822*w + 5397
Let m(k) be the first derivative of -2*k**2 - 67 + 4*k**2 - 31*k**2. Let s(x) = x**2. Give s(m(l)).
3364*l**2
Let v(h) be the second derivative of -5*h**4/6 + 1635*h. Let k(t) = -70*t**2 - t. Calculate k(v(j)).
-7000*j**4 + 10*j**2
Let n(p) = 46*p**2 + 2*p. Let j be (-11)/((-55)/20) + 109. Let m = -111 + j. Let k(u) = -2*u. Let t(s) = -s. Let x(h) = m*k(h) - 2*t(h). Calculate x(n(g)).
-92*g**2 - 4*g
Let x(j) = -j**2. Let n(a) be the first derivative of -22492*a**3/3 - 7493. What is x(n(v))?
-505890064*v**4
Let h(u) = -86*u**2 - 102*u**2 + 189*u**2. Let c(y) = 31*y**2. Give c(h(j)).
31*j**4
Let h(y) = -13*y. Let v(q) = 1661330*q. What is v(h(m))?
-21597290*m
Let a(r) = -3*r**2. Let v(g) = 33499518*g**2. Give v(a(p)).
301495662*p**4
Let a = 293 + -259. Let r(t) = -11 + 11*t**2 + a - 12*t**2. Let k(c) = -c**2. Determine r(k(u)).
-u**4 + 23
Let o(a) = 50037*a. Let i(r) = -2*r + 11. Determine i(o(v)).
-100074*v + 11
Let a(b) = 225 + 226 - 218*b - 674 + 223. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
-41*o. Determine -5*d(w) + 2*m(w).
23*w
Let p(n) = -8*n - 23. Let i(b) = -2*b - 6. Give -9*i(z) + 2*p(z).
2*z + 8
Let n(y) = 4*y + 2*y**2 - 3*y**2 - 4*y**2. Let z(g) = -g**2 + g. Suppose 4*m - m - 6 = -o, 2*m = 5*o + 38. Let x = o - -2. What is x*z(d) + n(d)?
-d**2
Let u(h) = -4*h**3 + 5*h**3 + 3*h**2 + h**3 + 8*h**3. Let z(y) = -3*y**3 - y**2. What is -2*u(q) - 7*z(q)?
q**3 + q**2
Let b(x) = -x**2 - x. Let y(g) = 3*g**3 + 3*g**2 + 7*g - 2. Give 3*b(c) + y(c).
3*c**3 + 4*c - 2
Let q be ((-6)/(-8))/(33/88). Let c(o) = 7*o + 2. Let v(k) = 8*k + 3. Give q*v(b) - 3*c(b).
-5*b
Let h(w) = -3*w**3 + 6 + 5*w**3 - w**2 - 2*w + 3*w**2 - 3*w**3. Let y(a) = 2*a**3 - 4*a**2 + 4*a - 11. Determine -11*h(b) - 6*y(b).
-b**3 + 2*b**2 - 2*b
Let t(b) = -b**2 + 6*b - 2. Let m(g) = 3*g**2 + 7*g + 2. Let l(o) = -4*o**2 - 7*o - 3. Let h(u) = -4*l(u) - 5*m(u). Determine -5*h(n) - 6*t(n).
n**2 - n + 2
Let i = -3 - -4. Let g(a) = i - a + 1 + 0 - 3. Let t(x) be the third derivative of x**4/24 + x**3/6 - x**2. What is -4*g(b) - 3*t(b)?
b + 1
Let f(r) = -3*r - 3. Let s(h) be the third derivative of -7*h**4/24 - 7*h**3/6 + 2*h**2. Give -5*f(y) + 2*s(y).
y + 1
Let r(y) = -22*y**2 - 5*y. Let u(v) = v**2 - v. Give -3*r(g) + 15*u(g).
81*g**2
Let m be (-9)/12 + 11/4. Let k(j) = j**2 - 2 - j**2 + j**2 - 5*j - m*j**2. Let s(a) = a + 0 + 0. Determine -k(o) - 6*s(o).
o**2 - o + 2
Let t(a) = 2*a + 8. Let z(v) = -v - 5. Give -5*t(s) - 8*z(s).
-2*s
Let s(v) = -v**3 + 2*v**2 - 3. Let f(a) = a**3 - 2*a**2 + 3. Calculate -2*f(w) - 3*s(w).
w**3 - 2*w**2 + 3
Let y(i) = -65*i. Let b(k) = 8*k. What is -50*b(p) - 6*y(p)?
-10*p
Let g(k) = 12*k**2 + 10*k + 10. Let d(u) be the second derivative of -u**4/12 - u**3/6 - u**2/2 - 6*u. What is -10*d(y) - g(y)?
-2*y**2
Let f(p) = 12*p**3 - 8*p**2 - 4*p. Let v(y) = -4*y**3 + 3*y**2 + y. Calculate 3*f(u) + 8*v(u).
4*u**3 - 4*u
Let f(l) be the first derivative of -7*l**2/2 - 4*l + 7. Let p(d) = -3*d - 2. Determine -2*f(y) + 5*p(y).
-y - 2
Let y(x) = -34*x + 16. Let n(h) = -17*h + 8. Let g(o) = -5*n(o) + 2*y(o). Let u = 24 - 13. Let a(k) = -6*k + 3. What is u*a(l) + 4*g(l)?
2*l + 1
Let s(n) = -1036*n**3 - 112*n**2 + 112*n + 112. Let b(u) = 28*u**3 + 3*u**2 - 3*u - 3. Give -112*b(y) - 3*s(y).
-28*y**3
Let q(r) = r**3 - 11*r - 3. Let s(a) = -a - 1. Determine -q(m) + 6*s(m).
-m**3 + 5*m - 3
Let a(f) = f**2 - 4*f + 4. Let b(j) be the first derivative of j**3/3 - 7*j**2/2 + 7*j + 13. Calculate 7*a(o) - 4*b(o).
3*o**2
Suppose 8 = -j - 12. Let i = j - -28. Let u(w) = 7*w - 8. Let k(d) = -d. Let y(p) = -5*k(p) - u(p). Let v(h) = h - 3. Determine i*v(a) + 3*y(a).
2*a
Let p(s) = -28*s**2. Let t(o) = 7*o**2. Give -6*p(n) - 26*t(n).
-14*n**2
Let y(c) = 6*c + 1. Let l be y(-2). Let b be (5 + l)*(1 - -2). Let u(o) = -4*o + 3*o + 2 - 2*o. Let g(f) = 13*f - 9. Calculate b*u(i) - 4*g(i).
2*i
Let d(g) = -4*g**3 - 7*g**2 + 5*g. Let s(i) = -5*i**3 - 6*i**2 + 4*i. Give -4*d(v) + 5*s(v).
-9*v**3 - 2*v**2
Suppose 3*a - 1 = 2. Suppose 0 = 3*y + 13 - a. Let x(q) = 2*q + 3. Let g(t) = 2*t + 2. Determine y*g(z) + 3*x(z).
-2*z + 1
Let a(m) = -5*m - 2. Let c(l) = 9*l + 4. What is -9*a(x) - 4*c(x)?
9*x + 2
Let y(n) = 17*n**3 + 11*n. Suppose -2*g + w = -7, 0 = 2*g - 2*w - 4 + 2. Let p(t) = -9*t**3 - 6*t. What is g*y(o) + 11*p(o)?
3*o**3
Let z(x) be the second derivative of x**4/12 + 5*x**2/2 + 14*x. Let v(p) = p**2 + 1. Determine -5*v(f) + z(f).
-4*f**2
Let c(r) = 10*r**3 + 12*r**2 - 10*r - 2. Let m(j) = -j**2 + 1. Let t(u) = c(u) - 4*m(u
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is prob of sequence mk when two letters picked without replacement from {t: 1, s: 1, c: 1, x: 3, k: 10, m: 2}?
10/153
Calculate prob of sequence tjt when three letters picked without replacement from {j: 4, t: 4, o: 1, p: 1}.
1/15
Three letters picked without replacement from aaasaassaa. What is prob of sequence sss?
1/120
Four letters picked without replacement from {q: 1, y: 2, m: 4, x: 2, p: 1}. What is prob of sequence xxpq?
1/2520
What is prob of sequence bb when two letters picked without replacement from bwbvb?
3/10
Four letters picked without replacement from eeileiieei. What is prob of sequence iiie?
1/42
Two letters picked without replacement from rgcsgcor. What is prob of sequence cr?
1/14
Calculate prob of sequence hakh when four letters picked without replacement from {k: 5, a: 3, h: 4}.
1/66
What is prob of sequence jyqq when four letters picked without replacement from qjjyqjjwwwqqj?
1/286
What is prob of sequence bf when two letters picked without replacement from brwcf?
1/20
Calculate prob of sequence xgx when three letters picked without replacement from {x: 4, s: 5, g: 1, t: 1}.
2/165
Two letters picked without replacement from {b: 10, u: 4, o: 3, c: 2}. What is prob of sequence uo?
2/57
Four letters picked without replacement from wwpwpwww. What is prob of sequence wwwp?
1/7
Two letters picked without replacement from rwwbtfwwfbmfmf. Give prob of sequence bf.
4/91
Four letters picked without replacement from {n: 1, g: 18}. What is prob of sequence nggg?
1/19
Calculate prob of sequence aet when three letters picked without replacement from teetetotffat.
1/88
Two letters picked without replacement from {l: 1, z: 2}. What is prob of sequence lz?
1/3
What is prob of sequence ftgg when four letters picked without replacement from gttgqgtfgqqggr?
15/4004
Calculate prob of sequence ee when two letters picked without replacement from {e: 7, i: 2, s: 1}.
7/15
What is prob of sequence kpxn when four letters picked without replacement from {h: 4, p: 4, x: 1, n: 4, u: 4, k: 1}?
1/4590
Calculate prob of sequence ys when two letters picked without replacement from hsayhsayhytty.
2/39
What is prob of sequence jhjh when four letters picked without replacement from {h: 3, j: 7}?
1/20
Calculate prob of sequence ooma when four letters picked without replacement from {p: 1, a: 2, o: 3, m: 1}.
1/70
What is prob of sequence rz when two letters picked without replacement from sksrsszrzrz?
9/110
Two letters picked without replacement from {n: 1, c: 1, w: 1, e: 2, u: 2, p: 7}. What is prob of sequence ue?
2/91
What is prob of sequence swsq when four letters picked without replacement from wwwwqwqnswsw?
7/2970
Calculate prob of sequence nbmn when four letters picked without replacement from nmnmbbbnbbbbnpbbb.
1/238
Calculate prob of sequence qxo when three letters picked without replacement from oxxxxxquyyxqqyuu.
3/560
Four letters picked without replacement from {o: 8, r: 3, p: 7}. What is prob of sequence rrpr?
7/12240
Four letters picked without replacement from {d: 4}. What is prob of sequence dddd?
1
Three letters picked without replacement from {a: 4, g: 4, z: 6}. Give prob of sequence gzg.
3/91
Four letters picked without replacement from {x: 1, m: 1, s: 2, o: 8, g: 1, y: 1}. Give prob of sequence yoxs.
2/3003
Two letters picked without replacement from {w: 5, l: 9}. Give prob of sequence wl.
45/182
What is prob of sequence kyvz when four letters picked without replacement from {k: 1, v: 1, y: 1, j: 1, z: 1}?
1/120
Calculate prob of sequence kpaa when four letters picked without replacement from {i: 2, p: 2, a: 4, k: 2, m: 2}.
2/495
Three letters picked without replacement from jcjjjjcjcjcccc. What is prob of sequence ccj?
7/52
Three letters picked without replacement from zonoanznzoonto. What is prob of sequence ozt?
5/728
Two letters picked without replacement from sqqjqqqqqsqjqq. Give prob of sequence js.
2/91
Three letters picked without replacement from elwwewlw. What is prob of sequence lww?
1/14
Calculate prob of sequence www when three letters picked without replacement from wwwwccw.
2/7
Calculate prob of sequence mnmn when four letters picked without replacement from mnmnmmnmmmnmmnmmmmn.
65/1292
Two letters picked without replacement from {t: 11, o: 2, y: 4, k: 1, b: 1}. Give prob of sequence yk.
2/171
Four letters picked without replacement from {g: 10, s: 2, k: 2}. Give prob of sequence kkgs.
5/3003
What is prob of sequence enee when four letters picked without replacement from {n: 3, e: 17}?
2/19
Two letters picked without replacement from vvvvvvvkkvvvv. Give prob of sequence vv.
55/78
Three letters picked without replacement from {t: 1, k: 1, a: 1, b: 1, w: 1}. What is prob of sequence tkw?
1/60
Two letters picked without replacement from {a: 2, x: 7, v: 1, b: 9}. Give prob of sequence va.
1/171
Two letters picked without replacement from ebeb. What is prob of sequence eb?
1/3
What is prob of sequence xtb when three letters picked without replacement from {t: 1, f: 3, x: 1, d: 2, b: 7}?
1/312
What is prob of sequence lb when two letters picked without replacement from eeleevvb?
1/56
Two letters picked without replacement from {t: 1, a: 4, s: 1, h: 5}. Give prob of sequence hs.
1/22
What is prob of sequence mapw when four letters picked without replacement from {d: 1, a: 1, p: 3, w: 3, m: 3}?
3/880
Three letters picked without replacement from ljddjvay. What is prob of sequence vyd?
1/168
What is prob of sequence xv when two letters picked without replacement from xvxxvxxv?
15/56
What is prob of sequence xkg when three letters picked without replacement from mgmxmgpkkmxmmxmxxp?
5/1224
What is prob of sequence yy when two letters picked without replacement from {j: 2, c: 2, y: 2}?
1/15
Two letters picked without replacement from {e: 9, d: 5}. What is prob of sequence ee?
36/91
What is prob of sequence ccyo when four letters picked without replacement from {y: 2, c: 2, s: 1, o: 1}?
1/90
Four letters picked without replacement from eeeexxxssxxxxpxxxepx. What is prob of sequence spxs?
11/29070
Four letters picked without replacement from {m: 7, b: 2, l: 3, u: 7}. What is prob of sequence bmmu?
49/7752
Two letters picked without replacement from fecffeeceeffcfe. What is prob of sequence ee?
1/7
Four letters picked without replacement from jjmmm. What is prob of sequence jmmj?
1/10
Calculate prob of sequence tc when two letters picked without replacement from {c: 5, a: 2, t: 2}.
5/36
Calculate prob of sequence wfb when three letters picked without replacement from wwhhhbhhwfhwbhhwhc.
5/2448
Three letters picked without replacement from {s: 2, y: 12, e: 1, m: 4}. Give prob of sequence eee.
0
Calculate prob of sequence fkp when three letters picked without replacement from kdypkdsskfpps.
3/572
What is prob of sequence x
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2.6 + -3. Let r = 2 - 0. What is the second smallest value in u, r, z?
u
Suppose 0*y + 254 = 2*y. Let q be ((-2)/(-12))/(5/3814). Let c = q - y. What is the smallest value in -2, c, 1/4?
-2
Let o(k) = k**2 - 6*k + 4. Let i be o(5). Which is the second smallest value? (a) -0.1 (b) 8 (c) i
a
Suppose t = 5*t - 20. Suppose 0*u = t*u + 25. Let x = 15.7 - 11.7. Which is the second smallest value? (a) u (b) x (c) -0.2
c
Let a be ((-1)/5)/(8/10). Let q = -129.7 + 130. What is the biggest value in 1, q, a?
1
Let v = -9 - -13. Let r be (5/(-15))/(v/6). Which is the biggest value? (a) 2/3 (b) -2 (c) r
a
Let x = -24/493 + -2/29. Let h = 9 - 6. Which is the second smallest value? (a) h (b) 0.2 (c) x
b
Let k = -1308/7 + 186. Let z = -1 - 1. Which is the third smallest value? (a) z (b) k (c) 1
c
Let s(h) = -h**2 - 9*h - 9. Let g be s(-8). Let p = 8.7 + -2.2. Let d = p - 7. Which is the third biggest value? (a) 0 (b) g (c) d
b
Let m = 9 - 8.1. Let l = m + 1.1. Which is the biggest value? (a) 5 (b) -7 (c) l
a
Let d(h) = h**3 - 3*h**2 + h - 1. Let c be d(3). Let f be c - (6/15 - -2). What is the third biggest value in 0, -4, f?
-4
Suppose -5*y = -3 - 12. Let m be y/(-10)*-1*-2. Which is the smallest value? (a) -1/3 (b) m (c) 0.4
b
Let z = 1519/2515 - 2/503. What is the biggest value in z, 0.2, -4, 4/3?
4/3
Let g be (-22)/(-11) - (-7)/(-4). What is the smallest value in -5, 5, g?
-5
Let r(n) = n**2 + n. Let i be r(-2). Let p = 22 - 22.3. Which is the third smallest value? (a) p (b) i (c) 3/5
b
Let v(h) = h**2 + 6*h - 8. Let s be v(-7). Let k be 3 - s*21/(-9). Which is the smallest value? (a) -3 (b) k (c) -5/4
a
Let x = -19.47 + -0.03. Let p = 20 + x. Which is the third biggest value? (a) -5 (b) 4 (c) p
a
Suppose 0 = 4*l - 0*o - 5*o + 32, 3*l + 3*o - 3 = 0. What is the third smallest value in -0.3, -0.11, 5, l?
-0.11
Let b = -0.054 + -3.946. What is the smallest value in 3/7, b, 0.06, -0.2?
b
Let k = -1.6 + 0.6. Which is the smallest value? (a) -2/9 (b) 0.4 (c) k
c
Let i = 2.02 + -0.02. Let w = -36.6 + 37. Which is the second biggest value? (a) 0.3 (b) i (c) w
c
Let a = 2.3 + -2.3. Let c = -2.1 + 2. Let x = 2 + -1.8. What is the biggest value in x, a, c?
x
Let u = 0 - -3. What is the second smallest value in 0, u, 2/5, -0.4?
0
Let f = -30/17 + 433/255. What is the third biggest value in 5, f, -3/2?
-3/2
Let s be (-5)/(-10)*6/3. Which is the third biggest value? (a) 3/2 (b) 0 (c) 0.1 (d) s
c
Let m = 0 + -2.5. Let x = m - -2. Which is the second biggest value? (a) x (b) 3/2 (c) 1
c
Let m = 2.1 - 2. Let n be 2 + 2/((-20)/771). Let k = n - -75. What is the biggest value in k, m, -0.5?
m
Let p = -266/645 - -12/43. Let c = 4.12 + -0.12. What is the smallest value in -0.2, p, c?
-0.2
Let i = 79 + -83. Let x = 0.8 + -0.3. Which is the second smallest value? (a) 0.1 (b) x (c) i
a
Let r be 2/(-6)*(-33)/(-44). What is the biggest value in -1, -3/5, r?
r
Let t = 106 + -107. What is the second smallest value in t, -0.1, 0.4, 10?
-0.1
Suppose 2*o - 4 = 6*o. What is the second smallest value in o, 0.1, -5?
o
Suppose 4*r + 3*m = 1, -4*m + 13 + 9 = -5*r. Let j = -71 + 640/9. Which is the second biggest value? (a) j (b) r (c) -0.3
c
Let g = -8 - -6. Let o = -1.7 - g. Which is the third smallest value? (a) o (b) -3/2 (c) 1/2
c
Let p = -0.4 + -0.2. Let h = -4.4 + p. Let f = 0.705 + -2.705. What is the biggest value in h, 0.1, f?
0.1
Let p = 0.7 + 1.3. Let z = 2.7 - 2.8. Which is the third biggest value? (a) 5 (b) z (c) p
b
Suppose 5*v = v - 8. Let j = 0.5 + -0.5. Which is the biggest value? (a) v (b) j (c) 3
c
Let m = -34 - -512/15. Suppose -9*x + 8*x = 0. Let l = -977/11 - -89. Which is the second smallest value? (a) l (b) x (c) m
c
Let h = -9/7 - -13/21. Which is the second smallest value? (a) h (b) 3/4 (c) 3
b
Let a = 118 + -118.5. What is the smallest value in -4, -2, a, -5?
-5
Let j be (3/(-4))/((-12)/(-37346)). Let g = j + 2341. Let n = g - 1139/168. Which is the third biggest value? (a) 0.3 (b) -0.1 (c) n
b
Let q = -0.67 + 0.17. Let t = -71/111 - 1/37. Which is the second smallest value? (a) t (b) -2 (c) q
a
Let g be 9/4 + (-1)/4. Suppose -i + g*i = -2. Let m be ((-2)/12)/((-1)/(-2)). Which is the smallest value? (a) 0.2 (b) i (c) m
b
Let z = 0.32 + -0.02. What is the third biggest value in 3, z, -5?
-5
Let o = 1 + 0.8. Let w = 5.8 - o. Which
|
{
"pile_set_name": "DM Mathematics"
}
|
three letters picked without replacement from {y: 2, c: 3}.
1/10
Three letters picked without replacement from iiiiooi. Give prob of sequence oio.
1/21
Four letters picked without replacement from {v: 5, n: 8}. Give prob of sequence nnnv.
14/143
Two letters picked without replacement from {l: 1, d: 5, x: 1, t: 3}. Give prob of sequence dd.
2/9
Two letters picked without replacement from jnnqnqqnjqnnnnnqq. Give prob of sequence jn.
9/136
Two letters picked without replacement from {b: 2, l: 1, s: 1, r: 1}. What is prob of sequence rs?
1/20
Four letters picked without replacement from bxppxxfpxpxbbfxpviff. Give prob of sequence ivxf.
1/4845
Four letters picked without replacement from {u: 3, k: 2, r: 9, x: 2}. Give prob of sequence urxk.
9/3640
What is prob of sequence yx when two letters picked without replacement from {s: 5, g: 3, t: 2, x: 1, y: 1, z: 3}?
1/210
Three letters picked without replacement from {k: 1, o: 4, n: 5}. What is prob of sequence kno?
1/36
Calculate prob of sequence tntn when four letters picked without replacement from {n: 3, t: 9}.
2/55
Calculate prob of sequence xxl when three letters picked without replacement from {m: 5, l: 2, p: 2, a: 1, x: 4}.
1/91
Two letters picked without replacement from {p: 6}. What is prob of sequence pp?
1
Calculate prob of sequence cq when two letters picked without replacement from {c: 1, a: 3, q: 2, w: 4}.
1/45
Calculate prob of sequence qbq when three letters picked without replacement from bqq.
1/3
Three letters picked without replacement from rxxikoowokox. What is prob of sequence iow?
1/330
Three letters picked without replacement from {r: 1, g: 1, v: 2, k: 3, f: 3}. Give prob of sequence rkv.
1/120
Calculate prob of sequence qqw when three letters picked without replacement from wxelqqe.
1/105
Four letters picked without replacement from {p: 2, z: 2}. Give prob of sequence pzpz.
1/6
Four letters picked without replacement from kgakgjkggk. Give prob of sequence gagj.
1/420
Three letters picked without replacement from jmjjjjjmmj. Give prob of sequence mjj.
7/40
Calculate prob of sequence tttu when four letters picked without replacement from {u: 2, t: 8}.
2/15
Four letters picked without replacement from {d: 1, g: 3, f: 1, q: 3, a: 1, l: 2}. What is prob of sequence ggfa?
1/1320
What is prob of sequence ta when two letters picked without replacement from aqkqktaqkkqkkkkattkk?
9/380
What is prob of sequence jw when two letters picked without replacement from jwojoooooo?
1/45
Three letters picked without replacement from bbdtbzzzbbuubbbzddz. What is prob of sequence zuz?
20/2907
Three letters picked without replacement from {y: 9, o: 7}. What is prob of sequence yyo?
3/20
Two letters picked without replacement from rrpmmrpmrmmmmr. What is prob of sequence mm?
3/13
Three letters picked without replacement from {i: 7, x: 2, e: 7, y: 3}. Give prob of sequence xxi.
7/2907
Four letters picked without replacement from gjgqgnq. Give prob of sequence qqgg.
1/70
Two letters picked without replacement from fiifiiqji. What is prob of sequence fi?
5/36
Two letters picked without replacement from iviiiiviivii. Give prob of sequence vi.
9/44
Calculate prob of sequence ttt when three letters picked without replacement from ttttt.
1
What is prob of sequence umr when three letters picked without replacement from {r: 1, b: 7, u: 3, m: 3}?
3/728
Two letters picked without replacement from dldlddlddkdpdldld. What is prob of sequence kd?
5/136
What is prob of sequence uunu when four letters picked without replacement from {m: 5, n: 5, u: 3}?
1/572
What is prob of sequence em when two letters picked without replacement from {m: 3, e: 4}?
2/7
Calculate prob of sequence lj when two letters picked without replacement from jjjjljjjjjjjjjjjljj.
17/171
What is prob of sequence gyyg when four letters picked without replacement from yyyyyyyyyyyyyygyyyyg?
1/190
Calculate prob of sequence zlo when three letters picked without replacement from apploaaalpolllpzl.
1/340
What is prob of sequence yz when two letters picked without replacement from {x: 3, z: 1, f: 4, j: 2, y: 1}?
1/110
Four letters picked without replacement from jbsjbsnscsjzbs. What is prob of sequence sbcz?
5/8008
What is prob of sequence xvuu when four letters picked without replacement from vucxxxxdxuckuxxkxccc?
2/4845
Three letters picked without replacement from {l: 5, z: 3, m: 1, n: 1, s: 1}. What is prob of sequence mls?
1/198
Two letters picked without replacement from zzwmm. Give prob of sequence wz.
1/10
Three letters picked without replacement from {j: 1, w: 2, e: 3, n: 3, x: 7, l: 1}. Give prob of sequence xwj.
7/2040
Three letters picked without replacement from {z: 3, o: 17}. What is prob of sequence ozo?
34/285
Two letters picked without replacement from {i: 1, z: 1, g: 1, n: 1, o: 3}. What is prob of sequence io?
1/14
What is prob of sequence xz when two letters picked without replacement from zxzxxzzxxzxxz?
7/26
What is prob of sequence qht when three letters picked without replacement from qhljhqqqttjh?
1/55
What is prob of sequence ejm when three letters picked without replacement from jttjxemxktekeemm?
1/140
Four letters picked without replacement from {x: 4, l: 3, t: 1, k: 1, n: 9}. Give prob of sequence xkxn.
1/680
Four letters picked without replacement from iidduduuuidyduiddid. What is prob of sequence iudd?
175/11628
Calculate prob of sequence zz when two letters picked without replacement from dqkdsqzkqqedkzz.
1/35
Calculate prob of sequence ggq when three letters picked without replacement from {q: 4, g: 16}.
8/57
Calculate prob of sequence gw when two letters picked without replacement from owgpaawc.
1/28
Two letters picked without replacement from {s: 2, f: 1, g: 6, n: 4, b: 2, p: 3}. Give prob of sequence nb.
4/153
Two letters picked without replacement from wmwwmwwqwjwwwjmqmq. What is prob of sequence qq?
1/51
Two letters picked without replacement from {v: 2, p: 1}. Give prob of sequence pv.
1/3
Two letters picked without replacement from ltltlllltwltwdwr. Give prob of sequence dr.
1/240
What is prob of sequence ow when two letters picked without replacement from wccdwwwddwpwowwdwww?
11/342
Calculate prob of sequence cuu when three letters picked without replacement from cuucucuuuuc.
28/165
Four letters picked without replacement from {d: 10}. What is prob of sequence dddd?
1
Four letters picked without replacement from {m: 3, e: 1, o: 5, f: 4}. Give prob of sequence oeoo.
1/286
Four letters picked without replacement from {g: 1, s: 6, k: 1, q: 1}. What is prob of sequence sskg?
5/504
What is prob of sequence ff when two letters picked without replacement from ifffffifff?
28/45
Calculate prob of sequence ysss when four letters picked without replacement from {y: 2, s: 5, d: 9}.
1/364
Calculate prob of sequence zj when two letters picked without replacement from {t: 3
|
{
"pile_set_name": "DM Mathematics"
}
|
e nearest 100?
0
Let y = 60.99999928 - 61. What is y rounded to seven dps?
-0.0000007
Let n(w) = -w - 4. Let x be n(-6). Suppose -10431 = p - x*c, 2*p = -2*p + 3*c - 41734. Let k = -65435 - p. What is k rounded to the nearest 10000?
-60000
Let u = 202069.127 + -202182. Let s = -0.127 + u. Let w = s - -112.917. What is w rounded to 2 decimal places?
-0.08
Let h = -0.13 - -0.2. Let g = 0.06999988 - h. What is g rounded to seven dps?
-0.0000001
Let j = -39.42 + 39.0482. Let i = 0.36 + j. What is i rounded to 3 decimal places?
-0.012
Let l = -0.3399968 + 0.34. Round l to six dps.
0.000003
Let x(o) = 1226*o + 1 + 3722*o + 2351*o. Let q be x(1). Round q to the nearest one thousand.
7000
Let t = -506453396.2999867 + 506453368. Let o = -584 + 555.7. Let l = t - o. What is l rounded to 6 decimal places?
0.000013
Let g = 3870639 + -3870806.6153. Let f = -75.6066 - g. Let x = -92 + f. Round x to three dps.
0.009
Let h = -56827.3668805276 + -2258666.1231202424. Let y = 2315494.44 + h. Let r = y - 0.95. Round r to 7 decimal places.
-0.0000008
Let a = 0.22199893 + -0.222. What is a rounded to 7 dps?
-0.0000011
Let r = -2 + 7. Suppose 773 = r*a - 377. Round a to the nearest 100.
200
Let a(f) = f**3 + f**2 - 2*f. Let h be a(-2). Suppose m - 6*m - 265000 = h. What is m rounded to the nearest ten thousand?
-50000
Let x(j) = j**3 + 4*j**2 - 13*j - 2. Let s be x(-6). Suppose 104110 = -s*r - 383890. What is r rounded to the nearest ten thousand?
-120000
Let d = 263 + -262.674. Round d to 2 dps.
0.33
Let r = -0.05 + 4.05. Let o = -4.05 + r. Let l = o + 0.04895. What is l rounded to four dps?
-0.0011
Let r = 43 + -42.999997. Round r to six decimal places.
0.000003
Let y = -1.05 + 1. Let d = 0.05 - y. Let k = d - 0.5. Round k to 0 dps.
0
Let m = -22.2 - -20. Let l = -2.2014 - m. What is l rounded to three decimal places?
-0.001
Let z(o) = -o - 2. Let h be z(-4). Suppose -2*u + p = -u - 83, -h*u - p = -157. Round u to the nearest ten.
80
Let q = 1374 - -726. Suppose i - q = -0*i. Round i to the nearest one thousand.
2000
Let k(j) = 17*j + 12. Let q(g) = -9*g - 6. Let z(n) = -4*k(n) - 9*q(n). Let r be z(-6). Round r to the nearest 10.
-70
Let q be ((-4)/10)/((-4)/1160). Suppose q = i + 2*p + p, -2 = 2*p. Round i to the nearest 10.
120
Let b = 7.6 + -1.6. Let u = -5 + b. Let m = u - 0.98. What is m rounded to 1 decimal place?
0
Let s be (-24)/10*(8 + -3). Let x(w) = w**3 + 14*w**2 + 11*w + 10. Let n be x(s). Let h = n + -77. Round h to the nearest 10.
90
Let j = -25.04 + 17.4. Let c = j + 0.34. Let t = c + 10. What is t rounded to zero decimal places?
3
Let p = 0.0262 - -22.2738. What is p rounded to the nearest ten?
20
Let g = 115 + -115.00000119. Round g to seven decimal places.
-0.0000012
Suppose 3*s + 34760 = 6860. Round s to the nearest one thousand.
-9000
Let l = -265 - -166. Let p = -98.9999914 - l. Round p to six decimal places.
0.000009
Suppose 2*g - 4*d = -383988, 2*d + 960012 = -5*g - 2*d. Round g to the nearest 10000.
-190000
Let s = 2.72638 + -3.206. Let z = -0.48 - s. What is z rounded to four decimal places?
-0.0004
Let i = -20.1 + 20.1000174. What is i rounded to six decimal places?
0.000017
Let v = -2225 - -2343.3. What is v rounded to the nearest 10?
120
Suppose -3*j - z = -27299997, -2*z - 9312989 = -j - 212983. What is j rounded to the nearest one million?
9000000
Let j = 5.66 + -6.4. Let p = 39.74 + j. Let k = p + -39.0000076. Round k to 6 decimal places.
-0.000008
Let z = -13 - 8. Let c be (3 - (-4)/(-2)) + z. Round c to the nearest ten.
-20
Let k = 0.07 + 15.93. Let z = -2464748 - -2464763.99947. Let s = z - k. What is s rounded to 4 decimal places?
-0.0005
Let q = 33.017 + -33. Round q to three decimal places.
0.017
Let f = -37.94 + -0.06. Let h = -37.99999931 - f. What is h rounded to seven dps?
0.0000007
Suppose 5*h - 2 = -f + 7, 2*f = -2*h + 2. Suppose 3*k = z + h, 3*z + 2*z - k = -10. Let t be (-370000)/(1/(z + 4)). Round t to the nearest one hundred thousand.
-700000
Let s = -4481.5 - -16479. Let q = 11987.50112 - s. Let r = q - -10. Round r to 4 decimal places.
0.0011
Suppose -5477 = 4*a + n, 5*a + 2285 + 4577 = 4*n. Round a to the nearest 100.
-1400
Let q = -23665069.97006 - -23635800.67. Let z = q - -29270. Let v = z - 0.7. Round v to 5 dps.
-0.00006
Let i = -989.2749949 - -989.34. Let u = i - 0.065. Round u to 6 dps.
0.000005
Let v = -0.08983 + 0.09. What is v rounded to four decimal places?
0.0002
Let l(k) = 2*k**3 + 10*k**2 - 2*k + 2. Let b be l(-7). What is b rounded to the nearest 10?
-180
Let u = 3493855.06623 - 3400559.0862285. Let t = -93296 + u. Let p = t + 0.02. What is p rounded to six dps?
0.000002
Let k(l) = 2*l - 3. Let z be k(3). Let v be z/((18/43000)/(-3)). What is v rounded to the nearest one thousand?
-22000
Let a = -2.002 + 2. Let c = a + -0.041. What is c rounded to 2 decimal places?
-0.04
Let k = -6162.979988 - -6163. Let r = 5.02 - 5. Let c = r -
|
{
"pile_set_name": "DM Mathematics"
}
|
e z(8).
-14
Let l(g) = g. Let s = 54 - 55. Let d(a) = -8*a + 1. Let k be d(s). Suppose f + k = -2*f. Calculate l(f).
-3
Let v(t) = 1. Let q(p) = p + 5. Let w(f) = -4*q(f) + 20*v(f). Suppose -21*m + 13*m = -720. Suppose -87 = -3*n - m. Give w(n).
4
Let v(q) = -q**2 + 8*q - 5. Let t be (-5*(-2)/(-25))/(1/50) + -4. Let z(a) = a**3 + 8*a**2 + 7*a. Let s be z(-6). Let b = t + s. Determine v(b).
7
Let y(a) = 202. Let h(p) = 11*p + 197. Let j(q) = -h(q) + y(q). Determine j(1).
-6
Let j = 9 + -2. Suppose 125*n = 128*n - 558. Let i(k) = -n - k - 183 + 369. Give i(j).
-7
Let f(o) be the first derivative of o**6/360 - o**5/30 - o**4/8 - 74*o**3/3 + 14. Let q(k) be the third derivative of f(k). Determine q(7).
18
Let h(d) = -2*d - 3. Let y(m) = m - 24. Suppose -4*q + 47 + 2 = -5*o, -o - 5 = 0. Let x(a) = -a + 2. Let f(k) = q*x(k) + y(k). Let l be f(-4). Calculate h(l).
-19
Let f(q) = -1. Suppose t + 7*m + 6 = 0, -29*t = -26*t + 3*m. Let o(r) = -r + 7 + 4 - 2. Let v(x) = t*o(x) + 4*f(x). Calculate v(-6).
11
Let n(r) = -3*r - 3. Suppose -9 = -6*a - 33. Let u be n(a). Let z be (u + -10)*(3 - 2). Let y(h) = -9*h**2 - h - 1. Give y(z).
-9
Let q(s) = 5*s - 5. Let o(i) = -21*i**2 - 139*i + 62. Let n be o(-7). Determine q(n).
25
Let x(r) = -r**2 + 10*r + 5. Let b(y) = -93*y - 2496. Let w be b(-27). What is x(w)?
-70
Let p = -58 + 63. Suppose -a - 177 = -i - p*a, -2*a + 531 = 3*i. Let n(x) = -1 + 8 - 5*x + i*x**2 + x**3 - 171*x**2. Calculate n(-7).
-7
Let h = -425 + 407. Let t be 76/h + ((-272)/72 - -4). Let d(r) be the first derivative of -r**3/3 - 5*r**2/2 + r + 1. Calculate d(t).
5
Let g(c) be the first derivative of c**2 + 47*c + 1788. Calculate g(-17).
13
Suppose 9*l - 4*l - 40 = -5*r, 3*r + 4*l - 29 = 0. Suppose r*u + 0 = 6. Let t(j) = 5*j + 27*j**u - 21*j**2 - 4 + j**3 + 3*j - 4*j. Calculate t(-5).
1
Let g(d) = -18*d + 7. Let s be g(2). Let x = s - -84. Suppose 0 = -5*q - 4*u - u - x, u - 37 = 5*q. Let i(o) = -o - 3. Give i(q).
5
Let m be 5 + -6 + (10 - 1). Let n(s) = -10*s + m - 13*s + 22*s. Determine n(0).
8
Let f(u) = -u**2 - 8*u + 3. Suppose 13*n - 12*n - 2 = 0. Suppose 246 + 2 = -n*s. Let a = 118 + s. What is f(a)?
15
Let s(n) = 5*n + 1. Let v(m) be the first derivative of -5*m**2/2 + 38*m + 35. Let g be v(8). Determine s(g).
-9
Let o(w) = w - 4. Let f be (22 - -3*(-3 + 4)) + 5. Let m(s) = -5*s + 139. Let q be m(f). Determine o(q).
-15
Let c(a) = 2*a**3 - 2*a**2 + 3*a - 3. Suppose 0 = 3*p + 232 - 28. Let g = 92 + p. Let s be g/10 - 7/((-140)/(-8)). Give c(s).
11
Let x(a) = -a**2 + 13*a - 22. Let n be x(11). Suppose 13*i + 23 + 29 = n. Let q(j) = j**3 + 3*j**2 - 5*j - 10. Give q(i).
-6
Let o(g) = 13*g**3 - g**2 + 2*g + 2. Let c be (13 - 14)*5 + 4. Calculate o(c).
-14
Let n = -40 + 44. Let t(m) = 12*m - 9. Let s(o) = -4*o + 6. Let p(z) = 3*s(z) + 2*t(z). Give p(n).
48
Let k be ((-48)/(-240))/(1/(-5))*-21. Let m(j) be the first derivative of 0*j**2 - 2/3*j**3 + k + j. Give m(-1).
-1
Let q(v) = -14*v**3 - 16*v**2 - v - 11. Let p(k) = -55*k**3 - 58*k**2 - 4*k - 42. Let n(w) = 3*p(w) - 11*q(w). What is n(-2)?
93
Let m(s) be the first derivative of s**2 + 6*s + 1107. Give m(-4).
-2
Let y(l) = 5*l - 4. Let n(m) = -406*m - 15. Let t be n(1). Let w = -418 - t. Give y(w).
11
Let m(u) = -8*u**3 - 2*u**2 - u. Let s = 686 + -855. Let g = 168 + s. Give m(g).
7
Let n(v) = 18*v**3 - 5*v**2 + 4*v + 2. Let h(s) = -9*s**3 + 2*s**2 - 2*s - 1. Let a(p) = -7*h(p) - 3*n(p). Suppose -2 = -5*k + 7*k. Give a(k).
-9
Let z(w) = -8*w + 2*w**2 + 3*w - 4 - w**2. Let i(f) be the second derivative of 10*f**3/3 + 93*f**2 + 133*f. Let v be i(-9). Determine z(v).
2
Let o(q) = 7*q**2 + q + 9. Let c(u) = -6*u**2 + 11*u - 6. Let f(w) = -3*w - 1. Let j(p) = c(p) + 4*f(p). Let n(r) = -6*j(r) - 5*o(r). Give n(0).
15
Let z(v) = 2*v**2 - 20*v + 29. Let b = 33930 - 33923. What is z(b)?
-13
Let y(o) = -o**3 - o**2 + 4*o - 10. Let j(v) = 5*v**3 + v**2 - 19*v + 38. Let z(b) = j(b) + 3*y(b). Give z(3).
23
|
{
"pile_set_name": "DM Mathematics"
}
|
b + 17*b - 4*b**3 = 0?
-4, 0, 1
Let h be 2/(-4)*40/(-30). Factor 2/3*f**2 + h*f**3 + 0 - 2/3*f**4 - 2/3*f.
-2*f*(f - 1)**2*(f + 1)/3
Let k(s) be the first derivative of s**4/60 + s**3/30 - s - 4. Let z(a) be the first derivative of k(a). Suppose z(c) = 0. Calculate c.
-1, 0
Let l(d) be the third derivative of d**6/900 + d**5/300 + d**3/2 - d**2. Let p(b) be the first derivative of l(b). Factor p(o).
2*o*(o + 1)/5
Suppose 9 + 3 = 4*h. Factor 7*a**2 - 2*a + 5*a - h*a**3 - 4*a**2 + 0*a**4 - 3*a**4.
-3*a*(a - 1)*(a + 1)**2
Let c be (1 + -2)*(-10)/30. Let i(p) be the second derivative of 0*p**2 + 0 - c*p**3 + 1/10*p**5 - 1/15*p**6 + 1/6*p**4 + 2*p. Suppose i(k) = 0. Calculate k.
-1, 0, 1
Let h(a) be the third derivative of a**8/84 - a**6/15 + a**4/6 + 7*a**2. Determine d, given that h(d) = 0.
-1, 0, 1
Let -1/3*h**2 + 1/3*h + 0 = 0. What is h?
0, 1
Let h(u) = 221*u**5 + 301*u**4 + 51*u**3 - 40*u**2. Let r(z) = -111*z**5 - 151*z**4 - 26*z**3 + 20*z**2. Let n(l) = 6*h(l) + 11*r(l). Solve n(f) = 0 for f.
-1, -2/3, 0, 2/7
Let h(b) be the first derivative of -1/540*b**6 + 0*b + 0*b**2 + b**3 - 1/180*b**5 + 0*b**4 - 1. Let u(c) be the third derivative of h(c). Factor u(i).
-2*i*(i + 1)/3
Factor 4*s + 12*s**3 + 4*s**4 + 1 + 4 - 5 + 12*s**2.
4*s*(s + 1)**3
Let i(y) be the second derivative of -2*y**7/63 - 14*y**6/45 - 6*y**5/5 - 22*y**4/9 - 26*y**3/9 - 2*y**2 + 12*y. Factor i(q).
-4*(q + 1)**4*(q + 3)/3
Suppose 3*t + 5*d + 19 = 0, -2*t + d + 9 = -0*d. Let -9/4*x + 3/2*x**t + 0 - 1/4*x**3 = 0. Calculate x.
0, 3
Let w(d) be the second derivative of d**5/420 + d**4/84 - d**3/14 - 4*d**2 - 6*d. Let b(p) be the first derivative of w(p). Find j, given that b(j) = 0.
-3, 1
Suppose 5*f = 22*f. Factor -u**2 + f - 2/5*u.
-u*(5*u + 2)/5
Determine h so that -12/7 + 3/7*h**2 + 3/7*h**3 - 12/7*h = 0.
-2, -1, 2
Solve 6/5*u**5 + 39/5*u**3 - 3*u**2 - 27/5*u**4 - 9/5*u + 6/5 = 0.
-1/2, 1, 2
Let l(d) = -d**3 + 6*d**2 - 3*d - 2. Let u(a) = a**3 - 5*a**2 + 3*a + 1. Suppose 0*m - m = -3. Let n(r) = m*u(r) + 2*l(r). Factor n(b).
(b - 1)**3
Let v = -4/3 + 2. Factor -2/3*x**3 + v*x**2 - 2/3*x**4 + 0 + 2/3*x.
-2*x*(x - 1)*(x + 1)**2/3
Solve 6/5*u + 0*u**4 - 8/5*u**3 - 4/5 + 2/5*u**5 + 4/5*u**2 = 0 for u.
-2, -1, 1
Suppose 2*d + 2*d = 4, 6 = 5*p - 4*d. Suppose u + p*u - 3 - 3*u**2 + 3*u = 0. Calculate u.
1
Let d(z) be the second derivative of -3*z - 1/12*z**4 + 0 + 0*z**3 + 1/2*z**2. What is f in d(f) = 0?
-1, 1
Let v = 5861/126 - 93/2. Let u(j) be the second derivative of v*j**7 + 0*j**4 + 0*j**2 - 1/15*j**5 + 0 + 0*j**6 - 3*j + 1/9*j**3. Let u(m) = 0. Calculate m.
-1, 0, 1
Let f = 131 + -131. Let d(l) be the second derivative of -2/9*l**2 - 3*l - 1/10*l**5 + f + 8/27*l**4 - 5/27*l**3. Factor d(t).
-2*(t - 1)**2*(9*t + 2)/9
Let s be -18*3/(-6) - 1. Let y = -5 + s. Factor -7*t**4 + 4 + 5*t**2 - 5*t**3 - 4*t**y - 2 + 9*t.
-(t - 1)*(t + 1)**2*(7*t + 2)
Let p(f) be the first derivative of 3*f**4/4 + 4*f**3 + 6*f**2 + 12. Solve p(q) = 0.
-2, 0
Let f(a) be the first derivative of 1/5*a**2 + 1/15*a**3 + 1/5*a - 1. What is x in f(x) = 0?
-1
Let b be (6/10)/(-2*(-45)/100). Factor 7/3*s + b - 4/3*s**2.
-(s - 2)*(4*s + 1)/3
Let m be -1 - (-4 + 0) - 2. Let g be m + 1 + -1 + -1. Factor -4/3*v**2 + 2/3*v**5 + 0*v**3 + 4/3*v**4 - 2/3*v + g.
2*v*(v - 1)*(v + 1)**3/3
Find y, given that 42*y**2 - 35*y**3 + 28*y - 60 + 83*y**2 - 108*y = 0.
-3/7, 2
Let z(g) = 9*g**2 + 24*g - 3. Let q(s) = -10*s**2 - 23*s + 4. Let j(l) = -3*q(l) - 2*z(l). Let j(k) = 0. What is k?
-2, 1/4
Suppose -10*l + 12 = -6*l. Factor o + l*o**2 - 2*o + 0*o**2 + 7*o.
3*o*(o + 2)
Let s(h) be the third derivative of -h**8/672 + h**6/120 - h**4/48 - 17*h**2. Suppose s(y) = 0. What is y?
-1, 0, 1
Let h(v) be the second derivative of -v**9/15120 + v**8/3360 - v**7/2520 - v**4/6 - 4*v. Let l(o) be the third derivative of h(o
|
{
"pile_set_name": "DM Mathematics"
}
|
) + h(y). Is v(-7) a prime number?
False
Let k = 276478 - 59871. Is k a prime number?
True
Is 320841 - (-2 - 0)*-5 prime?
False
Let t(i) be the first derivative of 983*i**3/3 - 5*i**2/2 + 13*i - 102. Is t(-4) a prime number?
True
Let k = 801 - 443. Let z be 7 + -14 + 8 - 210. Let l = z + k. Is l a prime number?
True
Suppose 6954 = -3*p - v, 0 = -6*v + 7*v + 3. Is (22 - 20)/((-2)/p) a composite number?
True
Suppose 0 = -4*l + 5*f + 518858, 3*l - 39*f + 41*f - 389109 = 0. Is l composite?
False
Let q(p) = -208*p - 31. Let a = 90 + -99. Is q(a) a composite number?
True
Let p(r) = 97*r**2 - 233*r + 33. Is p(14) composite?
True
Is (-376)/940 - 88153*(19/(-5) + 0) prime?
False
Let m(q) = 31*q**3 - 16*q**2 + 2*q + 48. Let u be m(-14). Let b = 152613 + u. Is b a composite number?
False
Let h(r) be the second derivative of 7*r**3/3 - 29*r**2/2 - 16*r. Let z(s) = -14*s + 30. Let x(g) = 6*h(g) + 4*z(g). Is x(17) a composite number?
True
Suppose -11*h + 3*h + 7110416 = 8*h. Is h a prime number?
True
Let n = -101 + 98. Is (2 + -1)/(n/(-17367)) prime?
False
Let x(t) = 2*t**2 - 11*t - 4. Let w be x(6). Let k be -2 + 3 + w + -3. Suppose -o - 1597 = -5*q, k = -4*q - 3*o + 345 + 925. Is q composite?
True
Let j be (-36)/378 + (-6617528)/(-84). Suppose 4*x = -2*t + 165754, -t = -x - 4091 - j. Is t a composite number?
True
Suppose 20 = -3*i - 2*i - 3*v, -3*i - 3*v - 18 = 0. Is ((-3)/9)/(i/9573) a composite number?
False
Let y(d) = 2*d**3 - 230. Let f(p) = 2*p - 22. Let o be f(11). Let u be y(o). Is (u/(-1) + (-9)/(-3))*1 a prime number?
True
Suppose 745268 = 2*l - 311969 - 4849. Is l composite?
False
Let x be ((-20)/(-6) - 2)*9/3. Suppose 4*u - x*b = 6 + 22, u + 2*b = -5. Suppose -4*l = -3*a - 1487, -3*a - 2*a + 1108 = u*l. Is l a composite number?
True
Let s be (-24 + 10/5)/(-1). Let q = s - 22. Suppose 11*d - 10964 + 3627 = q. Is d a prime number?
False
Let j(b) = -b**3 + 25*b**2 + 13*b. Let q(g) = -g**3 + 26*g**2 + 14*g - 1. Let s(l) = 7*j(l) - 6*q(l). Let w = 15 - -2. Is s(w) a prime number?
False
Let t(o) = -o - 12. Let d be t(0). Let b be (-50 - -49) + (-2)/(-2). Is 4/d - b - 1412/(-6) a composite number?
True
Let k = 24 - 20. Suppose -3*j - 7 = -k. Is 2*((-7)/14)/(j/262) prime?
False
Let b = -138 - -140. Suppose 0 = 3*s + b*x - 3139 - 10404, -s + 3*x = -4496. Is s a prime number?
False
Let v(w) = 55*w**3 - w**2 - 8*w + 13. Let a be v(2). Suppose -f + 4*g + 235 = 0, -3*g + 834 + a = 5*f. Is f a prime number?
True
Suppose -5*n - 2*t = -10151401, 20*t + 6090853 = 3*n + 15*t. Is n prime?
False
Let l(b) = 4*b - 2 - 3*b - 3*b + 3. Let f(h) = 3*h + 3. Let q be f(-4). Is l(q) composite?
False
Let x(u) = 195278*u + 117. Is x(1) a composite number?
True
Suppose 63*u + 1906135 - 9692348 = 40*u. Is u a prime number?
True
Let t be 1645/20 + (-2)/8. Let c = t + 266. Suppose c = 5*k - 5*u - 422, -2*k + 298 = -4*u. Is k composite?
True
Let j = 1656497 + -780574. Is j composite?
False
Let d(p) = 5*p**2 + 88*p + 207. Let n = -316 - -278. Is d(n) a prime number?
False
Suppose -11898215 = -116*x - 1849483. Is x composite?
False
Let o(d) = 731*d - 29. Let b be o(6). Suppose 11*i - 362 = b. Suppose -t = -3*p + i, p = -5*t + 52 + 91. Is p a composite number?
True
Suppose 3*x - 9496 - 2813 - 23082 = 0. Is x a prime number?
False
Suppose 105*b - 110*b = 0. Suppose 2*w - 1345 - 2181 = b. Is w composite?
True
Let u = 16688 - -377621. Is u composite?
True
Let x = 757804 + -540671. Is x a prime number?
False
Let q be (-8)/(5/(10/4)). Let g(f) = -809*f**2 + 9*f - 9. Let n(l) = -810*l**2 + 8*l - 8. Let h(b) = q*n(b) + 3*g(b). Is h(1) composite?
True
Suppose -x + 38 = 35. Suppose -4*z = x*z - 28. Is 152 - (2 + z + -3) a composite number?
False
Let j(f) = 83*f - 190. Let g be j(6). Let x = 481 + g. Is x composite?
True
Suppose 39*q - 40*q = 0, -s = q - 101407. Is s a composite number?
True
Let o(i) = 2378*i**3 + i**2 + i - 3. Let m be o(1). Suppose f + 3*f - m = -3*l, 4*l = -4*f + 3164. Is l composite?
False
Let q be ((-124)/6)/(1*10/(-15)). Suppose q*k + 8454 = 37*k. Is k composite?
False
Let l(r) = 5301*r**2 - 20*r - 65. Is l(-4) a composite number?
True
Let t = -2458 - -30845. Is t composite?
False
Is (154884/3)/4 + -3 + -5 a composite number?
False
Let r(i) = -i + 7. Let n be r(6). Suppose -3*z - 80 = 5*o, 86 = -3*z - 0*o - 2*o. Is n/(-5) - -534*(-4)/z a composite number?
False
Let t be (-2)/9 + 40359/(-27). Let j be (11/(33/2652))/(8/(-24)). Let l = t - j. Is l composite?
True
Suppose 0 = 6*h - 2*h - u - 24, 2*h - 2*u - 12 = 0. Is (-8)/(-12) + (4292/h - -2) a prime number?
False
Suppose 3*d = 2*i
|
{
"pile_set_name": "DM Mathematics"
}
|
*z - 16. Let g(o) = -31*o**2 + 24*o + 36. Let k(x) = -4*g(x) - 9*v(x). Let d(r) be the second derivative of -r**3/6 + 2*r. Give k(d(l)).
-11*l**2 - 3*l
Let x(a) = -306*a**2. Let u(g) = -150008*g. Give u(x(l)).
45902448*l**2
Let s(w) = -17 + 5 + 14 - w - 2. Let t(n) = 108*n. Determine t(s(f)).
-108*f
Let g(i) = -2*i. Let n(y) = 1527*y - 10. Let z(b) = 232105*b - 1525. Let h(p) = -610*n(p) + 4*z(p). Calculate g(h(s)).
6100*s
Let n(s) be the second derivative of s**3 - 793*s. Let b(o) = 37*o - 5. Give n(b(a)).
222*a - 30
Let c(s) = s. Let t = -6 + -6. Let n be (4/8)/((-3)/t). Let r(w) = 3*w + w**2 - 6*w**n - 3*w. Determine r(c(v)).
-5*v**2
Let b(i) = -5*i**2 + 3 + 309*i - 3 + 0 - 313*i. Let r(v) = -6*v**2 - 5*v. Let n(d) = -5*b(d) + 4*r(d). Let z(s) = 103*s**2. What is n(z(p))?
10609*p**4
Let h(f) = 2*f**2. Let a(z) = -z. Suppose 20*g - 5*g + 60 = 0. Let i(v) = 4*v. Suppose 0*w + 2*w + 36 = 0. Let q(l) = g*i(l) + w*a(l). What is h(q(d))?
8*d**2
Let l(y) = 3*y**2. Let s(u) = 6*u + 38. Let o be s(-7). Let k be (1 - o/(-8))*1284. Let r(t) = 642 - k - 19*t. Determine l(r(i)).
1083*i**2
Let g(c) = 9247 + 9238 + 9245 - 27730 + 5*c. Let l(v) = -14*v**2 - 20*v**2 - v**2. Give l(g(s)).
-875*s**2
Let v(g) = 8038020*g**2. Let r(j) = 5*j**2. Calculate v(r(o)).
200950500*o**4
Let z(r) = 18*r**2 + 1. Let j(n) be the second derivative of -35*n**4/3 + 11986*n. What is j(z(k))?
-45360*k**4 - 5040*k**2 - 140
Let o(x) = -18*x. Let u(r) = -14*r**2 + 569731*r. Calculate o(u(f)).
252*f**2 - 10255158*f
Let p(u) = -933*u**2. Let c(y) = 231998*y**2. Calculate c(p(x)).
201951707022*x**4
Let g(v) = 23*v**2 + 1924. Let i(b) = -112*b**2. What is g(i(z))?
288512*z**4 + 1924
Let g(c) be the third derivative of -5*c**4/24 - 4813*c**2. Let x(q) = 1220*q. What is x(g(t))?
-6100*t
Let f(k) = -1346*k. Let i(d) = -34*d - 1023. What is i(f(n))?
45764*n - 1023
Let a(b) = -9*b. Let g(k) = 10*k + 38*k - 12*k + 21*k. Calculate g(a(z)).
-513*z
Let t(d) = 3*d**2 - 2*d + 12. Let v(p) = p**2 + p - 4. Let j(r) = t(r) + 3*v(r). Let u(s) = 8*s. Give j(u(b)).
384*b**2 + 8*b
Let r(k) be the first derivative of -5 + 3*k - 6*k**2 + k - 4*k. Let g(t) = -2*t**2 + 0*t**2 - 3*t**2 + 7*t**2. Give r(g(o)).
-24*o**2
Let d(q) = -2965*q**2 + 5041*q. Let a(j) = -j**2. Give d(a(v)).
-2965*v**4 - 5041*v**2
Let q(w) = 157*w**2 + 3*w. Let j(d) = -55*d + 4. Let r(g) = -152*g + 11. Let s(f) = -11*j(f) + 4*r(f). Calculate q(s(l)).
1413*l**2 - 9*l
Let m(w) = 1718*w. Let o(l) be the first derivative of 2*l**3/3 - 1445. What is o(m(b))?
5903048*b**2
Let i(k) = -5*k**2 - 3. Let m(z) = 6. Let p(v) = v**2 - 17. Let c be (-2)/(-4)*(-80 + 8)/(-6). Let a(o) = c*p(o) + 17*m(o). What is i(a(t))?
-180*t**4 - 3
Suppose 0 = -z + 3*p + 152, -p - 128 + 808 = 5*z. Let d(j) = 4*j**2 + z - 137. Let f(y) be the second derivative of y**4/12 + 26*y. Determine d(f(r)).
4*r**4
Let u(d) = 127258 - 127258 + 930*d. Let g(s) = s. What is u(g(c))?
930*c
Let s(q) = -q. Let v(u) = -5252960*u**2. Give v(s(h)).
-5252960*h**2
Suppose 23 + 1 = 3*q. Let s(a) = -q - 9*a + 11*a + 10*a + 2*a. Let f(j) = 5*j - 3. Let b(v) = 8*f(v) - 3*s(v). Let l(n) = -14*n. Determine l(b(x)).
28*x
Let i(z) = -3*z**2. Let u(k) = k**3 - 4*k**2 + 6*k - 7. Let a be u(3). Suppose a + 2 = 2*q. Let x(l) = -2 - 5*l**2 + 2 + q*l**2. Give x(i(d)).
-27*d**4
Let g(d) = -7*d + 253. Let k(j) = 2*j**2 - 120*j. Determine g(k(z)).
-14*z**2 + 840*z + 253
Let k(h) = -3*h**2 + 5. Let z(r) = 2*r**2 - 3. Let m(s) = -3*k(s) - 5*z(s). Let b(g) = 9 - 9 - g**2. Give b(m(w)).
-w**4
Let f(x) = -3015*x. Let a(k) = 6*k**2 - 2*k - 1984. Give f(a(z)).
-18090*z**2 + 6030*z + 5981760
Let v(p) = 21*p**2 - 6. Let h(i) = 18*i**2 - 5. Let a(t) = -6*h(t) + 5*v(t). Let r(q) = 2*q +
|
{
"pile_set_name": "DM Mathematics"
}
|
ere in 75145.22 centuries?
7514522
How many nanoseconds are there in 0.3551441 microseconds?
355.1441
How many millilitres are there in 21/8 of a litre?
2625
What is 1/10 of a tonne in kilograms?
100
Convert 250578.6 years to millennia.
250.5786
What is seven eighteenths of a day in minutes?
560
How many decades are there in 298.44 years?
29.844
What is 0.7233191 decades in months?
86.798292
How many millennia are there in 8.332787 centuries?
0.8332787
What is 3/5 of a micrometer in nanometers?
600
What is one fifth of a hour in seconds?
720
How many millilitres are there in five eighths of a litre?
625
Convert 0.6582405 decades to months.
78.98886
What is one tenth of a century in years?
10
How many months are there in 11/2 of a century?
6600
How many millimeters are there in 0.8667757cm?
8.667757
Convert 76864.5234s to weeks.
0.1270908125
How many months are there in 3/5 of a century?
720
How many litres are there in 1212.868ml?
1.212868
How many minutes are there in 45.20021 weeks?
455618.1168
How many milliseconds are there in three tenths of a minute?
18000
What is 71/3 of a century in months?
28400
How many months are there in 41/6 of a decade?
820
What is 25.099089 months in centuries?
0.0209159075
What is 5/4 of a kilogram in grams?
1250
What is twenty-one halves of a litre in millilitres?
10500
What is 7/2 of a hour in minutes?
210
What is 19/4 of a meter in centimeters?
475
What is 0.4333438 milligrams in nanograms?
433343.8
What is 196000.6ng in milligrams?
0.1960006
What is 71/3 of a minute in seconds?
1420
How many milliseconds are there in twenty-six fifths of a second?
5200
What is fifty-nine fifths of a millennium in decades?
1180
How many years are there in 3/5 of a millennium?
600
How many weeks are there in 99514.1511ms?
0.00016454059375
How many millilitres are there in eighty-eight fifths of a litre?
17600
Convert 71.83984ug to tonnes.
0.00000000007183984
Convert 90.55931cm to kilometers.
0.0009055931
What is 667846.7 days in seconds?
57701954880
What is fourty-two fifths of a day in minutes?
12096
What is 456654.1l in millilitres?
456654100
How many millilitres are there in one twentieth of a litre?
50
Convert 10.572081 nanoseconds to minutes.
0.00000000017620135
How many months are there in 47019.93 millennia?
564239160
How many millimeters are there in eleven halves of a meter?
5500
What is 6/25 of a centimeter in micrometers?
2400
How many litres are there in 478.0482ml?
0.4780482
What is 0.2679054km in centimeters?
26790.54
How many litres are there in 558847.5ml?
558.8475
Convert 901322.2 years to months.
10815866.4
What is 96031.73 nanometers in millimeters?
0.09603173
What is 341.1969ug in grams?
0.0003411969
Convert 70004.64 days to hours.
1680111.36
How many years are there in 3/5 of a century?
60
What is 5/6 of a day in seconds?
72000
What is 617852.6 grams in tonnes?
0.6178526
How many minutes are there in 135.5678 hours?
8134.068
What is twenty-one fifths of a millennium in decades?
420
How many months are there in 5/4 of a year?
15
Convert 2924.692ug to milligrams.
2.924692
What is 5/4 of a millennium in decades?
125
What is fifty-one quarters of a hour in minutes?
765
What is 4/15 of a hour in minutes?
16
What is two ninths of a day in seconds?
19200
How many kilograms are there in three fifths of a tonne?
600
How many seconds are there in thirty-seven fifths of a minute?
444
What is 3/5 of a litre in millilitres?
600
How many centimeters are there in thirty-four fifths of a meter?
680
What is 7/25 of a milligram in micrograms?
280
How many nanometers are there in five eighths of a micrometer?
625
Convert 8746.482 millilitres to litres.
8.746482
What is seventeen quarters of a year in months?
51
How many millilitres are there in 0.5084212 litres?
508.4212
How many milliseconds are there in 3/5 of a minute?
36000
Convert 22980.069us to minutes.
0.00038300115
What is 1/10 of a gram in micrograms?
100000
What is thirty-three fifths of a milligram in micrograms?
6600
How many millennia are there in 36.38251 centuries?
3.638251
How many months are there in 23/3 of a decade?
920
What is twenty-seven fifths of a decade in years?
54
How many millennia are there in 6.701723 years?
0.006701723
How many months are there in 29/6 of a millennium?
58000
What is 1/4 of a century in years?
25
What is 1/15 of a century in months?
80
How many milliseconds are there in 14488.54 hours?
52158744000
What is 3/5 of a microgram in nanograms?
600
What is 1/4 of a year in months?
3
How many millilitres are there in one twentieth of a litre?
50
What is 42172.57 tonnes in kilograms?
42172570
How many millennia are there in 0.1135486 years?
0.0001135486
How many grams are there in 3/5 of a kilogram?
600
What is 4.7771 milligrams in micrograms?
4777.1
What is 4/75 of a minute in milliseconds?
3200
How many tonnes are there in 8547.971ng?
0.000000000008547971
How many millilitres are there in 99817.6l?
99817600
How many meters are there in three fifths of a kilometer?
600
How many millimeters are there in six fifths of a centimeter?
12
Convert 0.1633025m to kilometers.
0.0001633025
How many millilitres are there in seventeen quarters of a litre?
4250
How many minutes are there in 30999.45 weeks?
312474456
How many millilitres are there in 11/4 of a litre?
2750
How many meters are there in 42/5 of a kilometer?
8400
What is 7545.228 months in millennia?
0.628769
How many milligrams are there in 4.681221 kilograms?
4681221
How many millilitres are there in 6.220249l?
6220.249
How many months are there in five eighths of a century?
750
What is 9/10 of a litre in millilitres?
900
How many tonnes are there in 2.932712kg?
0.002932712
What is one fifth of a micrometer in nanometers?
200
How many millilitres are there in 25/2 of a litre?
12500
What is 1/5 of a gram in milligrams?
200
How many micrometers are there in 442487.9 kilometers?
442487900000000
What is 7/2 of a century in decades?
35
How many millilitres are there in 42/5 of a litre?
8400
What is 774.5321 decades in years?
7745.321
How many millilitres are there in 37/2 of a litre?
18500
What is 2293.9242 months in years?
191.16035
What is 48638.4us in milliseconds?
48.6384
Convert 24.773187s to minutes.
0.41288645
How many kilometers are there in 8863.51mm?
0.00886351
What is 1667.789 milliseconds in microseconds?
1667789
Convert 9670
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the least common multiple of 2 and d?
90
Suppose -y = 3*w + 1, 12 = -7*w + 3*w + 4*y. Let g = 60803 + -3283507/54. Calculate the common denominator of (w/(-7))/(18/(-2877)) and g.
54
Find the common denominator of 17/60 and 5522/7700 - (-4 + (-154)/(-35)).
2100
Let x be 2618/(-35) + 7 - 1/5. What is the least common multiple of 36 and x/(-51)*(-81)/(-6)?
36
Let u = 92 + -90. Let z be (1/u + 15693/(-2))/2. Let s = z + 31449/8. Calculate the common denominator of s and -48/11.
88
Let m = -119 + -16. Let j = -90 - m. Calculate the smallest common multiple of 15 and j.
45
What is the smallest common multiple of ((-33)/(-6))/(188/752) and 321?
7062
Let f = -7106 + 9170. Calculate the smallest common multiple of f and 3.
2064
Let h be 4/5 + 2710/50. Calculate the lowest common multiple of 14 and (-11)/h*10/(-1).
14
Let k(m) = -2950*m + 3. Let j be k(-3). Let g = j - 239060/27. What is the common denominator of g and -25/33?
297
Let x = -37774 - -37785. Let v(p) = -6*p - 9. What is the least common multiple of x and v(-6)?
297
Let f = -393153 - -31452173/80. Find the common denominator of (2/(-6))/(128/30) and f.
320
Let j be 7/(6160/(-6449092)) + 2/(-20). Let h = j + 7329. What is the common denominator of -119/36 and h?
396
Let p(i) = -2*i - 14. Let s be p(-7). Let o be 21/(-14) - (s + 11/(-2)). Suppose 11 = -o*h + 27. What is the smallest common multiple of 6 and h?
12
Let i = 73/17 - 15189/3553. What is the common denominator of 31/572 and i?
10868
Suppose 4*t = 2*t - 6. What is the smallest common multiple of ((-6)/8)/(t/(1 - -47)) and 11 - (-8)/12*-3?
36
Suppose 2*t = -0*t + 12. What is the least common multiple of t and -8*934/(-36) - (-164)/369?
624
Let k be (-4 + 35/10)/(1/(-8)). Suppose 0 = 5*l - 0*l - 4*w - 22, k*w = 8. Suppose 25 + 23 = l*a. What is the least common multiple of 40 and a?
40
Calculate the smallest common multiple of 480 and -44*(34 - 27 - 87).
10560
Let o = 5/486 - -5303/243. What is the common denominator of o and -43/1284?
1284
Let n be -3*19 + (-5)/((-10)/4). Let a be n - (3/18)/(-1). Let b = a - -241/3. Calculate the common denominator of 67/18 and b.
18
Let v(o) = -o**3 + o**2 + 3*o. Suppose c - 680 = -c. What is the lowest common multiple of c and v(-2)?
1020
Let c = 33459 - 33274. What is the smallest common multiple of c and 111?
555
Suppose -3*d - 3*p = -39, d - 42 = -2*d - 4*p. Let v be 1404/(-10) - 9/15. Let t = v + 151. Calculate the smallest common multiple of t and d.
10
Let w = 170/11 + -3350/231. What is the common denominator of 10854/81*(-3)/(-378) and w?
63
Suppose -3*b - b = -544. Let v = -98 + b. What is the smallest common multiple of 18 and v?
342
Let y = -488736 + 209667637/429. Let a = y - -5/39. Let p = 40/437 + 20530/14421. Calculate the common denominator of a and p.
33
Find the common denominator of 0 - 1 - (-12 - 1140/(-126)) and 1/21.
21
Suppose -4*h = -3*o - 2*o + 14, 3*h + 18 = 5*o. Calculate the lowest common multiple of 14 and ((2288/(-12))/13)/((-2)/o).
308
Let t = -2329 + 2377. What is the least common multiple of t and 176?
528
Let v = 342731 + -172051027/502. What is the common denominator of v and -139/36?
9036
Let w = -52937 - -78611453/1485. Calculate the common denominator of 43/99 and w.
1485
Suppose -t - 16 = -4*i - 0, 8 = 5*t + 2*i. Find the common denominator of 8/10*((-122)/(-8) + t) and -59/3.
15
Let c(m) = -5*m**2 + 2*m**2 - 5*m - 2*m + m - 6. Let k be c(-3). Calculate the least common multiple of 14 and 18/15*(-350)/k.
28
Let w be (4/24*-2)/(1/12). Let i(n) = -3*n + 10. Let o be i(8). Calculate the least common multiple of 8/w - o/(-4)*-4 and 24.
24
Suppose 2*h + 2*h = 168. Suppose -3*x = -2*u + 18 - 822, -5*x + 5*u = -1350. What is the smallest common multiple of h and x?
1848
Let l(a) be the second derivative of 5*a**3/3 - 39*a**2/2 + 30*a. Let w be l(4). Suppose 0 = -7*t + w + 223. Calculate the lowest common multiple of t and 24.
96
Let c(r) = 16*r + 17. Let l be c(-5). Let o be l + 3 + 16/4. Let w = o + 58. What is the least common multiple of w and 7?
14
Let v = -670 - -4666/7. Suppose u = -49 - 319. Let q = u - -5883/16. What is the common denominator of v and q?
112
Calculate the common denominator of (-3 - 808/(-48))/(42/9) and -47/14.
28
Calculate the common denominator of (-609)/45*(-294)/343*30/16 and 32/1909.
7636
Suppose -2557 + 2629 = 12*d. Find the common denominator of d and -11/93.
93
Find the common denominator of (-27)/((-3645)/18)*(-516)/256 and 43/820.
6560
Suppose -5*k + a = -4, 9*a = -2*k + 4*a - 20. Find the common denominator of ((-145)/(-4))/((-36)/8) and k + ((-209)/(-28) - 4/(-14)).
36
Let d(j) = 345*j + 1410. Calculate the lowest common multiple of d(-4) and 120.
120
Calculate the smallest common multiple of 1088/60 + (-414)/3105 and 6276.
18828
Let v be (1/3)/(((-4)/12)/1). Let o = 50 - v. Suppose 0 = -2*u - 2*f + 18, -4*f - o = -5*u - 3*f. What is the lowest common multiple of 8 and u?
40
Suppose -21*n + 20 = -19*n. Suppose n*x = 44 + 36. Suppose -144 = -x*b - 0*b. What is the least common multiple of 21 and b?
126
Suppose 4*b - 1 - 3 = -d, -3*d = 3*b + 15. Find the common denominator of ((-36)/(-9) - 8) + 23/d and -61/20.
40
Suppose 1 = z - 35. Let f be (2/(-4) + 1)*(27 + -11). Suppose f*n = 11*n - 60. What is the lowest common multiple of n and z?
180
Let g(d) = -31*d - 28. Let w be g(-4). Suppose -102*p = -106*p + w. What is the lowest common multiple of 45 and p?
360
Suppose -1575 = -4*n - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
49680?
2*o + 49670
What is the y'th term of -1378, -1349, -1316, -1279, -1238?
2*y**2 + 23*y - 1403
What is the a'th term of -3243227, -6486456, -9729685?
-3243229*a + 2
What is the w'th term of -212682, -425345, -638008, -850671?
-212663*w - 19
What is the a'th term of 178, 178, 180, 178, 166, 138, 88?
-a**3 + 7*a**2 - 14*a + 186
What is the h'th term of -2287, -2325, -2387, -2473?
-12*h**2 - 2*h - 2273
What is the f'th term of -1427, -1468, -1511, -1556, -1603, -1652?
-f**2 - 38*f - 1388
What is the q'th term of 578, 1034, 1488, 1940, 2390?
-q**2 + 459*q + 120
What is the a'th term of -78365, -78361, -78345, -78311, -78253, -78165, -78041?
a**3 - 3*a - 78363
What is the a'th term of 181167, 181188, 181209, 181230, 181251?
21*a + 181146
What is the h'th term of 4333, 4350, 4379, 4420, 4473?
6*h**2 - h + 4328
What is the y'th term of 4890, 8349, 11808, 15267, 18726, 22185?
3459*y + 1431
What is the x'th term of 321, 497, 673, 849?
176*x + 145
What is the f'th term of 2042, 1975, 1908, 1841, 1774, 1707?
-67*f + 2109
What is the z'th term of 6936, 13892, 20870, 27882, 34940?
2*z**3 - z**2 + 6945*z - 10
What is the r'th term of 252, 894, 1960, 3450, 5364, 7702, 10464?
212*r**2 + 6*r + 34
What is the t'th term of 51, -89, -233, -381, -533?
-2*t**2 - 134*t + 187
What is the t'th term of -329, -599, -869?
-270*t - 59
What is the w'th term of 15, 28, 43, 60, 79, 100, 123?
w**2 + 10*w + 4
What is the u'th term of -83538, -83540, -83552, -83580, -83630, -83708?
-u**3 + u**2 + 2*u - 83540
What is the u'th term of 987, 1332, 1667, 1986, 2283, 2552, 2787?
-u**3 + u**2 + 349*u + 638
What is the p'th term of -1416, -2942, -4468, -5994, -7520?
-1526*p + 110
What is the x'th term of -4858, -4818, -4778?
40*x - 4898
What is the a'th term of 834237, 834233, 834227, 834219?
-a**2 - a + 834239
What is the t'th term of -146, -229, -368, -563, -814?
-28*t**2 + t - 119
What is the z'th term of 129573, 129569, 129567, 129567, 129569?
z**2 - 7*z + 129579
What is the s'th term of -9166, -9208, -9262, -9334, -9430?
-s**3 - 35*s - 9130
What is the m'th term of -40158, -80317, -120476, -160635, -200794, -240953?
-40159*m + 1
What is the q'th term of -140, -860, -2152, -4016, -6452, -9460, -13040?
-286*q**2 + 138*q + 8
What is the d'th term of 139, 172, 225, 298?
10*d**2 + 3*d + 126
What is the k'th term of -2756, -22096, -74614, -176900, -345544, -597136?
-2765*k**3 + k**2 + 12*k - 4
What is the l'th term of -4280, -4264, -4248, -4232?
16*l - 4296
What is the l'th term of 513, 830, 945, 852, 545?
-l**3 - 95*l**2 + 609*l
What is the x'th term of 2686, 10866, 24536, 43696, 68346, 98486, 134116?
2745*x**2 - 55*x - 4
What is the o'th term of -425718, -425729, -425740?
-11*o - 425707
What is the y'th term of -36471, -36465, -36459, -36453, -36447, -36441?
6*y - 36477
What is the a'th term of -1467, -1376, -1225, -1014?
30*a**2 + a - 1498
What is the u'th term of 32452, 32453, 32454, 32455?
u + 32451
What is the z'th term of 6025, 11751, 17479, 23209?
z**2 + 5723*z + 301
What is the k'th term of -43872, -43881, -43896, -43917, -43944?
-3*k**2 - 43869
What is the h'th term of -1530, -1608, -1686, -1764, -1842?
-78*h - 1452
What is the u'th term of -5075, -5062, -5049?
13*u - 5088
What is the v'th term of 40859, 40860, 40861, 40862, 40863?
v + 40858
What is the u'th term of 3301, 3328, 3405, 3556, 3805, 4176, 4693, 5380?
4*u**3 + u**2 - 4*u + 3300
What is the o'th term of -35329, -35328, -35327?
o - 35330
What is the x'th term of 264, 710, 1156?
446*x - 182
What is the t'th term of 985, 1969, 2965, 3979, 5017, 6085, 7189, 8335?
t**3 + 977*t + 7
What is the h'th term of -82124, -82123, -82122, -82121, -82120?
h - 82125
What is the v'th term of 1452, 5680, 12732, 22608, 35308, 50832, 69180?
1412*v**2 - 8*v + 48
What is the a'th term of 14881, 14878, 14875, 14872, 14869, 14866?
-3*a + 14884
What is the z'th term of 216, 415, 614, 813?
199*z + 17
What is the c'th term of -11437, -22853, -34269, -45685, -57101, -68517?
-11416*c - 21
What is the t'th term of -19, -10, 63, 230, 521, 966, 1595?
5*t**3 + 2*t**2 - 32*t + 6
What is the v'th term of -231, -391, -549, -711, -883, -1071, -1281?
-v**3 + 7*v**2 - 174*v - 63
What is the u'th term of 865327, 865324, 865321, 865318?
-3*u + 865330
What is the t'th term of -151, -617, -1389, -2467, -3851, -5541?
-
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 34/(23 + -32 - -7)?
-17
(-15 - (-129)/6 - -13)*(-4)/6
-13
What is the value of 68/36 + 1 + 6/(-2)?
-1/9
(196/(-65) - -3)*(-65)/13
1/13
Evaluate (3/21)/((-1020)/1428).
-1/5
What is (3 + (-14)/6)*(17 - (4 - 11))?
16
What is the value of (48 + (19 - 55))/(-3)?
-4
What is ((-3)/36)/(71/(-1136))*7/(-532)?
-1/57
Calculate (4/(-12) - 4)/(-6 + 10 + -5).
13/3
Calculate (1/(-2) - 1)*19/((-513)/(-72)).
-4
Evaluate 0 + (-774)/(-99) + -8.
-2/11
What is 1/3 - (15 - 22)*(-3)/9?
-2
What is the value of 7/3*(-186)/279?
-14/9
Calculate (2/(6 + -8))/(8/20*5).
-1/2
Evaluate 1 - (40/(-50) - -2).
-1/5
Evaluate 3380/(-120) + 17 - -13.
11/6
Evaluate 45250/(-19005) + 8/3.
2/7
Calculate (-35)/(525/90) + (9 - 1).
2
What is the value of ((-704)/(-66) - 10)/(4/(-18))?
-3
Evaluate 5*(20/(-22) - (-9)/(54/6)).
5/11
(20/(-720))/(14/84)
-1/6
Calculate (10/(-175))/2*-9 + 15/25.
6/7
What is the value of (76/(-152))/(2 + 42/(-20))?
5
(715/165)/((-136)/240 + 1)
10
What is -19 + 79/((-10665)/(-2646))?
3/5
9 - (-3618)/(-360) - (-9)/30
-3/4
What is (1/4)/(6/216)?
9
What is the value of -1 + (4/16)/(6/((-288)/(-6)))?
1
((-672)/(-768))/((21/(-12))/(-1))
1/2
What is (7 + 12)/19*(-12)/(-3)?
4
Evaluate -16*(30/55 + (-59)/88).
2
Calculate (8/(-30))/((-573)/(-955)).
-4/9
Calculate (2/(-16))/((-1085)/(-5208)).
-3/5
What is the value of (-12)/22 - (1 - 2736/176)?
14
What is (71 + -70)*(-3 - (10/1 + -2))?
-11
Evaluate (5 - 1328/(-272)) + 30/(-3).
-2/17
Evaluate -5*(138/(-115) - (-6)/2).
-9
Evaluate ((-96)/(-30))/((-3)/(-30)*-4).
-8
(-58485)/(-27293) - (-10)/4*(-4)/14
10/7
What is the value of (-136)/(-10) + (-1545)/15 + 88?
-7/5
14 + -30 + -16 + 21
-11
Calculate 652/489 + (4 - (-167)/(-33)*1).
3/11
Calculate 90/(-3978) - 51/(-289).
2/13
What is the value of (-12 + 1128/96)/((-31)/8 + 1)?
2/23
2376/2970 - 13/35
3/7
What is 11*(31 - (-2261)/(-77))?
18
What is 155/(-341)*(5 + (-260)/8) + -9?
7/2
What is the value of ((-205)/(-205))/(6/(-21))?
-7/2
What is (-269000)/191250 - 7/(-5) - (-8)/68?
1/9
Evaluate (-5 + 2 + -1)/(-25 - 837/(-33)).
-11
Calculate 6 - 7/(77/69).
-3/11
Calculate 253*20/(-11 + 231).
23
What is the value of (-50)/(12 - 2)*(2 - 3)?
5
231/9*282/5170
7/5
What is (27/12)/((-51)/(-136))?
6
What is the value of (1/(-42))/(9 + (-125)/20 + -3)?
2/21
Calculate (-91)/70 - -1 - (-240)/(-200).
-3/2
Evaluate (119/(-126) - -1)*3*0.
0
Calculate (-2)/(-25) + (-798)/1225.
-4/7
What is -7 + 11 + (-792)/204?
2/17
(57 + -51 - 45/7)/1*-56
24
(20/(-11))/(186/(-1023))
10
Calculate -5 - (-7 + 662/94) - (-4 - 1).
-2/47
What is (1580/441610)/((-1)/13)?
-2/43
What is -4 - ((-1740)/(-270) + -10)?
-4/9
Calculate ((-10268)/(-510) - 2/15)/((-6)/9).
-30
Evaluate -64 + 43 - 1756/(-84).
-2/21
What is the value of 14/(7/1) + (-11 - (-12)/(-2))?
-15
Evaluate ((-39)/(-9) - 7)*324/(-144).
6
What is the value of (-3036)/552*(-18)/33?
3
Calculate (-18)/(-5)*(-20)/16*(-68)/18.
17
Calculate 2*(-42)/48*(-51 + 47).
7
What is the value of 328158/16377 - (19 - -1)?
2/53
(-24)/320*28 - ((-24)/(-20))/(-2)
-3/2
Evaluate (-12)/(-18)*3*(3/(-2) + 4).
5
Calculate 630/(-45)*(-1)/63.
2/9
((-36)/5)/(12/30)
-18
2*4/(-6)*14961/(-289246)
2/29
Evaluate 6/(-8) + (-30567)/1772.
-18
(-13)/(13/(-56))*-3*10/(-105)
16
-1*(8 - (-5551)/(-693)) + (-12)/(-22)
5/9
(3 - 12) + 176/11
7
Evaluate -4*3/2*2.
-12
Calculate ((-666)/592)/((-6)/(-8)).
-3/2
(276/621)/((-6)/351)
-26
((-41)/((-1025)/100))/(1/(-4))
-16
What is the value of -2*(-9 + 10 - -6)?
-14
Calculate -1 + 46/(-5) - 90/(-9).
-1/5
Calculate -6 + 3059/462 + 4/6*-1.
-1/22
What is the value of (280/28 + 25/(-3))*(2 - 5)?
-5
Calculate 15*17/(-340)*8 - 3.
-9
Evaluate (-1785)/153*(-6)/(-10) - (-14)/3.
-7/3
What is ((-2)/18*-9)/(((-2)/(-26))/(-1))?
-13
What is the value of (-2 - (-3780)/(-375) - -2) + 10?
-2/25
What is 1 - -4 - (-2 - (-20)/32 - -6)?
3/8
Calculate 1918/(-154) - -13 - (-84)/88.
3/2
Calculate 2001/6670*((-1)/(-3) + -1).
-1/5
Evaluate ((-98)/(-42))/((-1)/(-6)).
14
What is the value of 78/(-7) + 12948/1079?
6/7
What is ((-64)/12*1)/(-8 + (-104)/(-12))?
-8
(-54)/(-153)*17 - (-114)/6*1
25
What is the value of (28/(-2))/2 + 3808/(-196) + 27?
4/7
((-21)/(-67 - -4))/(7/(-36))
-12/7
((-52)/24)/13 - (275/(-210) + 2)
-6/7
What is the value of (-72)/(-16)*56/12?
21
What is 18/16*(-28480)/(-1335)?
24
What is 18/((-20)/10) - -6 - 26/(-14)?
-8/7
What is (-14 + -5 + 18)/(2/(-52))?
26
What is (-52)/169 + (-2)/13?
-6/13
Calculate (((-8832)/(-288))/23)/(152/(-78) - -2).
26
Evaluate ((-78)/845)/(48/80).
|
{
"pile_set_name": "DM Mathematics"
}
|
en 17066 is divided by 2031?
818
What is the remainder when 59985 is divided by 368?
1
What is the remainder when 384525 is divided by 128166?
27
What is the remainder when 16409 is divided by 1299?
821
What is the remainder when 94136 is divided by 1485?
581
Calculate the remainder when 36290724 is divided by 36290715.
9
Calculate the remainder when 4496589 is divided by 1498583.
840
Calculate the remainder when 71974 is divided by 35956.
62
Calculate the remainder when 300100 is divided by 3751.
20
What is the remainder when 416395915 is divided by 9?
7
Calculate the remainder when 81759934 is divided by 74.
72
Calculate the remainder when 516239 is divided by 1018.
113
Calculate the remainder when 86836203 is divided by 1547.
1546
Calculate the remainder when 731156 is divided by 133.
55
Calculate the remainder when 54726 is divided by 1177.
584
Calculate the remainder when 48631 is divided by 22515.
3601
What is the remainder when 487086 is divided by 1357?
1280
Calculate the remainder when 77821 is divided by 12785.
1111
Calculate the remainder when 568501 is divided by 63.
52
Calculate the remainder when 3267429 is divided by 1633695.
39
What is the remainder when 6538331 is divided by 136?
131
What is the remainder when 891512 is divided by 801?
800
What is the remainder when 2203762 is divided by 27?
22
What is the remainder when 14561532 is divided by 6524?
6488
What is the remainder when 811218 is divided by 542?
386
What is the remainder when 140022 is divided by 4253?
3926
Calculate the remainder when 2212068 is divided by 33.
12
What is the remainder when 3818255 is divided by 2646?
77
Calculate the remainder when 5744 is divided by 1883.
95
What is the remainder when 525501 is divided by 5904?
45
Calculate the remainder when 895705 is divided by 298565.
10
What is the remainder when 2508074 is divided by 15?
14
Calculate the remainder when 9745530 is divided by 250.
30
What is the remainder when 468345373 is divided by 675?
673
Calculate the remainder when 101796094 is divided by 2473.
2468
Calculate the remainder when 6473163 is divided by 143848.
3
What is the remainder when 32093 is divided by 4555?
208
Calculate the remainder when 2508476 is divided by 618.
14
What is the remainder when 712594768 is divided by 297?
292
Calculate the remainder when 663074 is divided by 41441.
18
What is the remainder when 6029073 is divided by 12?
9
What is the remainder when 933408 is divided by 311097?
117
Calculate the remainder when 2326123 is divided by 23.
18
What is the remainder when 643562 is divided by 157?
19
What is the remainder when 612125 is divided by 306054?
17
What is the remainder when 964487 is divided by 482232?
23
What is the remainder when 57975 is divided by 5269?
16
Calculate the remainder when 4697058 is divided by 620.
558
What is the remainder when 938942 is divided by 257?
121
What is the remainder when 24351469 is divided by 173939?
9
Calculate the remainder when 4860100 is divided by 1860.
1780
What is the remainder when 3613642 is divided by 1442?
1432
What is the remainder when 427519058 is divided by 10?
8
Calculate the remainder when 596545 is divided by 833.
117
What is the remainder when 210854 is divided by 3339?
497
Calculate the remainder when 46979452 is divided by 2685.
7
Calculate the remainder when 372381 is divided by 432.
429
Calculate the remainder when 37572 is divided by 2681.
38
Calculate the remainder when 12158255 is divided by 40.
15
Calculate the remainder when 1777957 is divided by 7867.
15
Calculate the remainder when 651751 is divided by 4207.
3873
What is the remainder when 183270 is divided by 19414?
8544
Calculate the remainder when 1767651 is divided by 44.
39
Calculate the remainder when 27816320 is divided by 352105.
25
What is the remainder when 870823 is divided by 28089?
64
What is the remainder when 312638 is divided by 370?
358
What is the remainder when 3463317 is divided by 570?
567
What is the remainder when 198592 is divided by 13204?
532
Calculate the remainder when 750821794 is divided by 9972.
9970
What is the remainder when 48762571 is divided by 117?
13
Calculate the remainder when 19936655 is divided by 3987331.
0
Calculate the remainder when 3877884 is divided by 224.
220
Calculate the remainder when 53393 is divided by 408.
353
What is the remainder when 9609518 is divided by 23?
3
Calculate the remainder when 2772256 is divided by 1023.
949
What is the remainder when 1189863 is divided by 84982?
115
Calculate the remainder when 53690112 is divided by 17896703.
3
Calculate the remainder when 87432 is divided by 57.
51
Calculate the remainder when 892041 is divided by 2060.
61
What is the remainder when 304235 is divided by 50591?
689
What is the remainder when 127324 is divided by 63519?
286
What is the remainder when 12849466 is divided by 4944?
10
Calculate the remainder when 175874 is divided by 176.
50
Calculate the remainder when 241600915 is divided by 12491.
12484
Calculate the remainder when 17288832 is divided by 356.
48
What is the remainder when 171306042 is divided by 7?
5
Calculate the remainder when 22339948 is divided by 222.
88
Calculate the remainder when 2871560 is divided by 601.
583
Calculate the remainder when 23860532 is divided by 97.
84
What is the remainder when 99527 is divided by 32?
7
Calculate the remainder when 46833377 is divided by 3811.
3809
What is the remainder when 686181 is divided by 8517?
4821
Calculate the remainder when 5534955 is divided by 1609.
1604
What is the remainder when 229117 is divided by 228887?
230
What is the remainder when 9059360 is divided by 905935?
10
What is the remainder when 24752849 is divided by 571?
570
Calculate the remainder when 31884672 is divided by 1741.
1739
What is the remainder when 594717 is divided by 2457?
123
Calculate the remainder when 3438146 is divided by 128.
66
What is the remainder when 8670148 is divided by 25?
23
Calculate the remainder when 880607 is divided by 7400.
7
Calculate the remainder when 2515790 is divided by 241.
232
What is the remainder when 135783332 is divided by 32?
4
Calculate the remainder when 695873 is divided by 2094.
665
Calculate the remainder when 25513 is divided by 7991.
1540
What is the remainder when 85488 is divided by 1335?
48
Calculate the remainder when 252206 is divided by 2153.
305
What is the remainder when 362116793 is divided by 174?
173
Calculate the remainder when 355510 is divided by 71069.
165
Calculate the remainder when 124081377 is divided by 180.
177
Calculate the remainder when 1272555 is divided by 25967.
172
What is the remainder when 35447814 is divided by 3544780?
14
Calculate the remainder when 1385871 is divided by 461938.
57
Calculate the remainder when 6138375 is divided by 266885.
20
Calculate the remainder when 75212838 is divided by 20.
18
Calculate the remainder when 1051600 is divided by 1905.
40
What is the remainder when 8895376 is divided by 1187?
1185
Calculate the remainder when 27737 is divided by 13868.
1
What is the remainder when 27041 is divided by 26504?
537
Calculate the remainder when 11850112 is divided by 72.
64
What is the remainder when 3996569 is divided by 822?
5
Calculate the remainder when 1184987 is divided by 2643.
923
Calculate the remainder when 13578605 is divided by 284.
281
Calculate the remainder when 309152 is divided by 21.
11
What is the remainder when 364950 is divided by 229?
153
Calculate the remainder when 350958 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3 for i.
-3
Let x be (-5 + 6 + -1)/(0 - -2). Suppose -3*h + 6 = 3*b, x*b = -b - 2*h + 4. Solve 2*a - 6 + 2 = b for a.
2
Let s(h) = 2*h**2 + 31*h + 79. Let q be s(-3). Let t = 11 - 8. Solve -t + 11 = -q*a for a.
-2
Let t be ((-20)/(-360))/((-2)/6)*-30. Suppose t*j = -4*k + 20, 3*k + 8*j - 15 = 3*j. Solve -k*f - 8*f + 52 = 0 for f.
4
Suppose 16 = -3*i - 2*f, 0 = -2*i + 6*f - 2*f. Let z be -1*(5 + i) - -5. Solve -z*v - 9 = 3 for v.
-3
Suppose -3*n + 8 = -13. Let f(v) be the second derivative of v**3/2 - 9*v**2 + 123*v. Let x be f(n). Solve -x*p + 4*p + 4 = 0 for p.
-4
Let v(p) = p**3 - 21*p**2 + 28*p + 2. Let t be v(20). Let o be (-88)/(-18) + -6*(-3)/t. Solve 0 = 7*b - 6*b + o for b.
-5
Let l be (4 - -63) + -14 + 22. Solve l = -118*i + 133*i for i.
5
Suppose -3*z - 2*z + 1325 = j, 0 = j - 2*z - 1381. Solve -1357 + j = h for h.
8
Let t = -10926 - -10926. Solve t = -10*r - 10 + 30 for r.
2
Let y be ((-10)/8)/(13/(-52)) + 3. Solve -y*h + 23 = -31*h for h.
-1
Let d(c) = 6*c**3 - 127*c**2 + 379*c + 1. Let z be d(3). Solve -4*w + z = 141 for w.
4
Let a(w) = 3*w**2 - 22*w - 11. Let o be a(8). Suppose 0 = 4*s + o*u - 0*u - 11, 2*u = s - 6. Let q be 2 - (6*-1 + -3). Solve s*v + q = -1 for v.
-3
Suppose 2*o = -c - 103, 179 = -5*o + 5*c - 116. Let h = -34 - o. Suppose l = 43*l - 210. Solve -w + l*w = -h for w.
-5
Suppose 1 = 3*t - 4*r, -2*t + 0*r + 2*r + 2 = 0. Suppose 5*g = 4*c + 232, -4*g - c + 164 = t*c. Suppose -4*a - 7*a = -g. Solve -x + a = 7 for x.
-3
Let k = -237 - -256. Solve k*l - 35*l + 32 = 0 for l.
2
Let s(p) = -p**3 + 9*p**2 - 4*p - 26. Suppose 0 = 3*z - 24 - 0. Let v be s(z). Suppose -3*j - v*j = -9. Solve l + j = -3 for l.
-4
Let o = -4 - -2. Let v(j) = 3*j**2 + 14*j + 49. Let t(u) = -4*u**2 - 13*u - 50. Let i(p) = o*t(p) - 3*v(p). Let d be i(-11). Solve -z = z + d for z.
-4
Let y(v) = 3*v - 6. Let u be y(4). Let o be 27/162 - (91/u - 1). Let b = 14 + o. Solve b = -2*z - 3*z - 20 for z.
-4
Suppose -2*c = 2*j - 16, 3*c - 3*j - 35 = 19. Solve -c = 8*p - 21 for p.
1
Suppose 5*b = -0*s - 2*s - 27, -5*s = 4*b + 25. Let n(p) = -p + 6. Let x be n(b). Let h = -42 - -68. Solve 0 = -3*m + h - x for m.
5
Let s = 5156 - 5152. Solve 398 = s*m + 382 for m.
4
Suppose -3*q + 5*l + 41 = 0, 46*l = 2*q + 44*l - 30. Solve -45 = 7*x - q for x.
-4
Let a(c) = c**2 - 89*c + 893. Let q be a(79). Solve 103*h + q = 618 for h.
5
Suppose 7 = -3*c + 7. Suppose c = 13*x - 149 + 19. Suppose 0 = 13*n - x*n - 6. Solve n*g + 4 + 2 = 0 for g.
-3
Let g(n) = -8*n**3 - 495*n**2 + 59*n - 154. Let h be g(-62). Solve -30 = t - h for t.
2
Suppose -2*k = j - 53, k - 3 = -2*j + 88. Suppose 2*g - 4 = -5*t + t, -t = 4*g - j. Suppose 0 = -g*n + 51 - 3. Solve n*s + 19 + 1 = 0 for s.
-5
Suppose 192 - 67 = -5*l. Let b = -11 + l. Let x = b - -39. Solve -8 + 2 = -x*q for q.
2
Let w be (-1 + (-130)/14)*(-280)/60. Let r = -64 + w. Let j = r + 19. Solve -z + 4*z - j = 0 for z.
1
Suppose -c = -s, -c - 3*c - 2*s = 0. Suppose 80 = -c*r + 4*r. Solve 5*u = -0*u + r for u.
4
Let d be (-4)/14 - (-19)/((-1463)/(-22)). Solve 26*c - 23*c - 12 = d for c.
4
Let d = -63 - -88. Let a be ((-5)/2)/(1/(-10)). Let o = d - a. Solve -4*z + 2*z + 6 = o for z.
3
Suppose 0 = 28*k - 8*k + 120. Let b be 4 - k*3/(-9). Let g be (4/3)/(1/3). Solve 0 = b*p - 3*p + g for p.
4
Let m be 7830/19 - (-1 + (-231)/(-209)). Solve -424 = 3*o - m for o.
-4
Suppose 11*p - 35 = 4*p. Let l(c) = -22*c + 125. Let k be l(p). Solve 3*u + k = 12 for u.
-1
Let q = -21 - -31. Let f = -7 + q. Suppose -f*r = 9, -3 = -o + 4*o + r. Solve 6 + o = -2*y for y.
-3
Let w(b) = -13*b + 897. Let m be w(69). Suppose 15 - 155 = -7*z. Solve m = -y - z + 22 for y.
2
Let u be (-20)/(-6)*(-9 + 255/25). Let g be (-2)/4*u/(-6)*24. Solve g*s = -s for s.
0
Let t(g) = 2*g**2 + 92*g + 298. Let v be t(-43). Solve -66*s - v = -56*s for s.
-4
Let l be (-1265)/(-3) + 10/(-18)*3. Let q = l - 418. Solve 4*g + 10 = -q for g.
-3
Suppose 0 = 10*t - 15*t + 270. Let x = 57 - t. Solve 0 = x*l - 12 - 0 for l.
4
Let n be ((-1)/6 + 24/9 - 2)*0. Solve n = -12*y - 6*y + 90 for y.
5
Let y(u) = -u**2 - 13*u + 6. Let p be y(-15).
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when 154 is divided by a.
37
Let p be 5/4 - 2/8. Let y = p - -1. Let d(h) = h**3 + 3*h**2 - 2*h + 1. Calculate the remainder when 49 is divided by d(y).
15
Suppose -70 = -3*b - 13. Let f(a) be the second derivative of a**3/6 + 3*a**2/2 - 11*a. What is the remainder when b is divided by f(7)?
9
Let d be 1*(-3 + 2 + 1). Suppose 0 = 5*n + x - 6, 0*n - 2*n = -x - 8. Suppose d = -3*u + 2*u + n. Calculate the remainder when 3 is divided by u.
1
Let j(x) = -12*x - 15. Let h be j(-10). Suppose -33 - 72 = -3*z - 3*g, -4*z = -3*g - h. What is the remainder when 119 is divided by z?
29
Let f(t) = 2*t**2 + 3*t - 2. Let j be f(2). Suppose -j = -g + 5*l, 0*l + l = -g + 42. Let n = 49 + -39. What is the remainder when g is divided by n?
7
Let x = -341 - -669. Calculate the remainder when x is divided by 30.
28
Let m(p) = 3*p**2 + 4*p + 3. Let t be m(-2). Let g = -21 - -37. Let x = g - t. What is the remainder when 16 is divided by x?
7
Suppose -11 = -7*p + 17. What is the remainder when 11 is divided by p?
3
Suppose -5*s + 45 = -4*s. Suppose 3*b - 23 = 25. What is the remainder when s is divided by b?
13
Suppose 0*d + 2*d - 2 = 0. Let l(n) = 41*n - 1. Let x be l(d). Suppose -6*b + 2*b + x = 0. Calculate the remainder when 19 is divided by b.
9
Suppose -3*m = -2*m - 9. Suppose 3*n = 5*o + 75, 2*o = -2*n - 2*n - 30. What is the remainder when m is divided by 6/o - (-27)/5?
4
Let g = 36 + -20. What is the remainder when 45 is divided by g?
13
Let w(r) = 0 - 3 - 3*r + 1. Calculate the remainder when 46 is divided by w(-6).
14
Suppose 16*s = 13*s + 495. Calculate the remainder when s is divided by 42.
39
Let b(m) = m**3 - 4*m**2 + 2*m - 2. Suppose -2*n + 5*o + 15 = 0, 12 = n - 0*n - o. What is the remainder when n is divided by b(4)?
3
Suppose -34 - 21 = -5*d. Let h = 11 - -18. What is the remainder when h is divided by d?
7
Suppose 0 = -2*r + 4*b - 18, 19 = -2*r + 3*b - 0. Let f = r + 15. What is the remainder when 5 is divided by f?
1
What is the remainder when 2109/152 + (-2)/(-16) is divided by 4?
2
Let j = -6 + 9. What is the remainder when ((-14)/(-4))/(j/30) is divided by 19?
16
Calculate the remainder when 31 is divided by ((-30)/(-12))/((-1)/(-4)).
1
Suppose -3*x - 3*g = -51, 4*g - 21 + 105 = 4*x. Calculate the remainder when 36 is divided by x.
17
Let n(v) = v**3 - 12*v**2 - 7*v - 14. Let h = -32 + 45. Calculate the remainder when n(h) is divided by 11.
9
Suppose 0 = -5*d - 2*v + 306 - 48, d = -2*v + 58. Suppose d + 158 = 4*s. Suppose 0 = -3*b + 41 + 13. Calculate the remainder when s is divided by b.
16
Let j = -23 + 29. What is the remainder when 16 is divided by j?
4
Suppose -69 = -5*m + 186. Let r = -50 - -63. What is the remainder when m is divided by r?
12
Let s(g) = -g**2 - 17*g + 36. Calculate the remainder when 215 is divided by s(-17).
35
What is the remainder when 33/(-22)*-2*13 is divided by 21?
18
Let u(z) = -z**3 - 4*z - 5. Let s be u(-4). Suppose w + 4*w - s = 0. Calculate the remainder when 29 is divided by w.
14
Let v(t) = t**3 - 5*t**2 + 2*t - 1. Let h be v(4). Let z = -43 - h. Calculate the remainder when 33 is divided by z/(-2) + (-8 - -8).
16
Let p be (13 - 5)/(1/(-6)). Let r = 87 + p. Suppose -2*n = f - 23, 2*n + 4*f - 12 - 20 = 0. Calculate the remainder when r is divided by n.
9
Suppose 0*l - 107 = -4*l + 3*p, 3*l + p - 77 = 0. What is the remainder when 76 is divided by l?
24
Let q = 26 + -14. Let i = 8 + -12. Let c = q + i. Calculate the remainder when 14 is divided by c.
6
Let i = -3 + 2. Let j = i - -1. Calculate the remainder when 4 is divided by j - (0/(-3) + -3).
1
Suppose -3*a - 2*j = -a - 12, a = 5*j. Suppose 19 = -4*i + a*i. Calculate the remainder when 37 is divided by i.
18
Suppose -3*v = 4*a - 71, 0 = 2*a - 0*v + v - 33. Calculate the remainder when a is divided by 5.
4
Suppose o + o = 6. Suppose -4*z = -o*z + 3*b - 12, -z - 3 = -2*b. Suppose y - 46 = 4*x, 3*y + x - 115 + z = 0. What is the remainder when y is divided by 13?
12
Let v = -25 - -16. Let t = -2 - v. Calculate the remainder when t is divided by 4.
3
Let s(f) = -f**2 - 2*f + 8. Let r(y) = 3*y - 9. Let k be r(3). What is the remainder when 29 is divided by s(k)?
5
Suppose -3*l - 5 = -32. Suppose 0*u = u. Suppose -11 + 1 = -s + 3*y, u = -3*s - 2*y + 52. What is the remainder when s is divided by l?
7
Calculate the remainder when (60/(-9))/((-4)/6) is divided by 6.
4
Suppose 5*j - 230 - 20 = 0. What is the remainder when 247 is divided by j?
47
Suppose 0 = -0*u - 5*u + 1865. Let b be u/(-7) + 4/14. Let o = -21 - b. Calculate the remainder when o is divided by 11.
10
Suppose -4*n + j = 812, 0 = -3*n - 4*j - 0*j - 628. What is the remainder when (2/6)/((-4)/n) is divided by 9?
8
Let s be 8/(-6)*9/(-1). Let v = -8 + s. Suppose 5*t - x = 17, -3*t + 2*x + 19 = 6. Calculate the remainder when v is divided by t.
1
Let h(x) = x + 2. Let q be h(-3). Let w = q + 19. Calculate the remainder when (106/(-4))/(2/(-4)) is divided by w.
17
Calculate the remainder when 59 is divided by (-12)/(-2 + -1) - -12.
11
Let k = 0 - -2. Suppose 3*l - k*l - q = 49, 0 = 2*l + 5*q - 77. Calculate the remainder when 61 is divided by l/2 + (-2)/1.
19
Suppose -4*t + 3*l + 18 = 5*l, -4*t = -l - 9. Suppose 3 = -w - 0*w. Let d = w +
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 288*m/7 - 108/7 = 0. Calculate m.
-3, -2/5, 2
Determine o so that 5*o**4 - 15*o**3 - 45*o**2 - 25*o = 0.
-1, 0, 5
Suppose -3*g**3 - 57*g**2 + 123*g - 63 = 0. Calculate g.
-21, 1
Let -2*c**5 - 90*c**4 - 1046*c**3 - 534*c**2 + 4576*c - 2904 = 0. Calculate c.
-22, -3, 1
Factor 4*m**2 + 7192*m - 7196.
4*(m - 1)*(m + 1799)
Determine o, given that 5*o**5 - 100*o**4 - 105*o**3 = 0.
-1, 0, 21
Factor -j**4/4 + 11*j**3/2 + 3*j**2/4 - 16*j - 11.
-(j - 22)*(j - 2)*(j + 1)**2/4
Factor -b**3/2 + 10*b**2 + 21*b/2.
-b*(b - 21)*(b + 1)/2
Determine m so that 5*m**2 - 10*m - 40 = 0.
-2, 4
Factor -3*c**3 - 72*c**2 - 483*c - 702.
-3*(c + 2)*(c + 9)*(c + 13)
Determine r so that -4*r**5/7 - 110*r**4/7 + 178*r**3/7 + 116*r**2/7 = 0.
-29, -1/2, 0, 2
Factor -20*d**5 - 1212*d**4 - 27720*d**3 - 286200*d**2 - 1174500*d - 607500.
-4*(d + 15)**4*(5*d + 3)
Factor 4*c**4 + 10*c**3 - 12*c**2 - 38*c - 20.
2*(c - 2)*(c + 1)**2*(2*c + 5)
Factor -3*r**2 + 6954*r - 4029843.
-3*(r - 1159)**2
Suppose -4*g**3/3 - 20*g**2/3 - 32*g/3 - 16/3 = 0. Calculate g.
-2, -1
Factor d**2/2 + 11*d/2 - 13.
(d - 2)*(d + 13)/2
Determine l, given that 138*l**2/11 - 120*l/11 - 18/11 = 0.
-3/23, 1
Determine s, given that -37*s**4/6 + 56*s**3/3 - 113*s**2/6 + 19*s/3 = 0.
0, 1, 38/37
Factor g**4/4 - 5*g**3 + 13*g**2/4 + 57*g/2.
g*(g - 19)*(g - 3)*(g + 2)/4
Solve 3*q**2 - 90*q + 168 = 0 for q.
2, 28
Let -5*d**2 - 515*d - 2450 = 0. Calculate d.
-98, -5
Factor 3*h**3/5 - 81*h**2/5 + 357*h/5 + 441/5.
3*(h - 21)*(h - 7)*(h + 1)/5
Determine j so that 4*j**3/15 + 14*j**2/15 - 8*j/15 = 0.
-4, 0, 1/2
Factor 2*f**3 + 2292*f**2/7 - 4626*f/7 + 2320/7.
2*(f - 1)**2*(7*f + 1160)/7
Factor -4*j**3/3 + 32*j**2/3 + 556*j/3 + 952/3.
-4*(j - 17)*(j + 2)*(j + 7)/3
Factor -4*a**2 - a.
-a*(4*a + 1)
Factor k**5 + 5*k**4 - 14*k**3 + 2*k**2 + 13*k - 7.
(k - 1)**3*(k + 1)*(k + 7)
Factor p**3/8 - 3*p**2/8 - 15*p/2 - 25/2.
(p - 10)*(p + 2)*(p + 5)/8
Suppose -j**2/11 + 280*j/11 - 19600/11 = 0. What is j?
140
Let -24*o**4 - 74*o**3 - 78*o**2 - 30*o - 2 = 0. What is o?
-1, -1/12
Solve -f**2 + 1656*f - 685584 = 0.
828
Factor 2*s**3 - 69*s**2 + 33*s + 34.
(s - 34)*(s - 1)*(2*s + 1)
Solve -10*y**5/7 + 2*y**4 - 4*y**3/7 = 0.
0, 2/5, 1
Factor h**4/9 + 4*h**3/9 + 2*h**2/9 - 4*h/9 - 1/3.
(h - 1)*(h + 1)**2*(h + 3)/9
Let -4*r**5/5 + 68*r**4/5 - 421*r**3/5 + 228*r**2 - 1269*r/5 + 486/5 = 0. What is r?
1, 9/2, 6
Determine k so that 192*k**5 + 400*k**4 + 940*k**3/3 + 115*k**2 + 20*k + 4/3 = 0.
-2/3, -1/4
Find u such that u**2/4 - 2*u = 0.
0, 8
Suppose -s**2/2 + 255*s/2 - 747 = 0. What is s?
6, 249
Let 2*x**5 + 28*x**4 - 14*x**3 - 208*x**2 - 168*x = 0. Calculate x.
-14, -2, -1, 0, 3
Determine p, given that 3*p**3 - 45*p**2 = 0.
0, 15
Factor -4*i**4 - 120*i**3 - 564*i**2 + 6256*i + 13872.
-4*(i - 6)*(i + 2)*(i + 17)**2
Determine z so that -2*z**5/7 + 12*z**4/7 - 22*z**3/7 + 4*z**2/7 + 24*z/7 - 16/7 = 0.
-1, 1, 2
Find x, given that -324*x**3 - 191664*x**2 + 85232*x - 9472 = 0.
-592, 2/9
Solve 125*d**5 - 675*d**4 + 130*d**3 + 650*d**2 - 255*d + 25 = 0.
-1, 1/5, 1, 5
Find u, given that -3*u**5 + 543*u**4 - 531*u**3 - 1635*u**2 + 2706*u - 1080 = 0.
-2, 1, 180
What is r in -3*r**3/7 - 6*r**2/7 + 765*r/7 = 0?
-17, 0, 15
Factor -3*v**4 + 42*v**3 - 156*v**2 - 72*v + 864.
-3*(v - 6)**2*(v - 4)*(v + 2)
Factor 3*q**4/7 - 114*q**3/7 + 111*q**2/7.
3*q**2*(q - 37)*(q - 1)/7
Let -2*k**2 + 22228*k - 61760498 = 0. What is k?
5557
What is q in 3*q**4/4 + 9*q**3 + 24*q**2 = 0?
-8, -4, 0
Suppose -4*j**4/5 + 28*j**3/5 - 52*j**2/5 - 12*j/5 + 72/5 = 0. What is j?
-1, 2, 3
Determine l so that 2*l**3/3 - 128*l**2 + 8192*l - 524288/3 = 0.
64
Solve -3*g**5 - 12*g**4 + 39*g**3 + 120*g**2 - 144*g = 0 for g.
-4, 0, 1, 3
What is k in
|
{
"pile_set_name": "DM Mathematics"
}
|
235821 is divided by 235795.
26
Calculate the remainder when 93433 is divided by 2078.
2001
What is the remainder when 235218 is divided by 1125?
93
Calculate the remainder when 25396425 is divided by 60324.
21
What is the remainder when 2704044 is divided by 76?
40
Calculate the remainder when 24135602 is divided by 169969.
4
What is the remainder when 62582480 is divided by 99?
26
What is the remainder when 55834560 is divided by 290?
280
Calculate the remainder when 126419773 is divided by 32.
29
What is the remainder when 26125410 is divided by 2177117?
6
Calculate the remainder when 1677262 is divided by 557544.
4630
Calculate the remainder when 1055698 is divided by 2346.
2344
What is the remainder when 1450198 is divided by 1492?
1466
Calculate the remainder when 1135791 is divided by 177.
159
Calculate the remainder when 15767134 is divided by 1232.
1230
What is the remainder when 42539824 is divided by 413?
411
Calculate the remainder when 299479377 is divided by 759.
747
What is the remainder when 187084 is divided by 8404?
2196
What is the remainder when 2510125 is divided by 2510123?
2
Calculate the remainder when 1097374 is divided by 768.
670
What is the remainder when 264492338 is divided by 31?
28
Calculate the remainder when 40962222 is divided by 197.
12
Calculate the remainder when 238776 is divided by 238677.
99
Calculate the remainder when 1771124 is divided by 9522.
32
What is the remainder when 57645 is divided by 49?
21
Calculate the remainder when 160576 is divided by 50219.
9919
What is the remainder when 282905275 is divided by 210?
205
What is the remainder when 508661 is divided by 495?
296
What is the remainder when 36217003 is divided by 93?
13
What is the remainder when 187745 is divided by 9677?
3882
What is the remainder when 71362986 is divided by 1996?
1994
What is the remainder when 58434 is divided by 3717?
2679
Calculate the remainder when 278957 is divided by 707.
399
Calculate the remainder when 758534 is divided by 1756.
1698
What is the remainder when 753720 is divided by 68?
8
Calculate the remainder when 142001 is divided by 267.
224
Calculate the remainder when 4195283 is divided by 4.
3
Calculate the remainder when 24641778 is divided by 12320872.
34
Calculate the remainder when 2221239 is divided by 150.
39
What is the remainder when 697832 is divided by 7269?
8
What is the remainder when 1096575 is divided by 98?
53
What is the remainder when 8545028 is divided by 629?
63
What is the remainder when 2469835 is divided by 1409?
1267
What is the remainder when 38243 is divided by 16450?
5343
What is the remainder when 17533 is divided by 758?
99
What is the remainder when 479499 is divided by 13?
7
What is the remainder when 192380659 is divided by 124?
115
Calculate the remainder when 6452402 is divided by 337.
200
Calculate the remainder when 5689733 is divided by 31.
24
Calculate the remainder when 83070677 is divided by 616.
613
What is the remainder when 328653 is divided by 328581?
72
What is the remainder when 1392604 is divided by 348106?
180
Calculate the remainder when 259486621 is divided by 64.
29
Calculate the remainder when 5369507 is divided by 1083.
1076
What is the remainder when 626894 is divided by 156716?
30
What is the remainder when 15153318 is divided by 158?
12
What is the remainder when 103685669 is divided by 17280943?
11
What is the remainder when 406002 is divided by 19329?
93
Calculate the remainder when 219414103 is divided by 15.
13
Calculate the remainder when 2959652 is divided by 40.
12
Calculate the remainder when 201050 is divided by 49613.
2598
Calculate the remainder when 892082 is divided by 99.
92
Calculate the remainder when 302099 is divided by 812.
35
What is the remainder when 1188362 is divided by 53?
49
Calculate the remainder when 12330 is divided by 6123.
84
Calculate the remainder when 259583313 is divided by 86527756.
45
Calculate the remainder when 292059 is divided by 2990.
2029
Calculate the remainder when 445174 is divided by 151.
26
Calculate the remainder when 1837316 is divided by 42728.
12
What is the remainder when 38379 is divided by 4242?
201
Calculate the remainder when 76990055 is divided by 104.
103
Calculate the remainder when 55035112 is divided by 80.
72
What is the remainder when 126315 is divided by 2078?
1635
What is the remainder when 7900449 is divided by 1580082?
39
Calculate the remainder when 9319 is divided by 144.
103
Calculate the remainder when 79116 is divided by 13183.
18
Calculate the remainder when 2114002 is divided by 17187.
1
What is the remainder when 25806509 is divided by 8?
5
Calculate the remainder when 1048378 is divided by 3404.
3350
What is the remainder when 32170 is divided by 1233?
112
What is the remainder when 4302365 is divided by 1093?
317
What is the remainder when 7064709 is divided by 651?
57
Calculate the remainder when 3312187 is divided by 6.
1
Calculate the remainder when 447341 is divided by 636.
233
Calculate the remainder when 352786 is divided by 1772.
158
What is the remainder when 524722 is divided by 19428?
166
Calculate the remainder when 2239750 is divided by 12.
10
What is the remainder when 3085178 is divided by 2332?
2274
Calculate the remainder when 109847 is divided by 21956.
67
What is the remainder when 22197 is divided by 254?
99
What is the remainder when 1280682 is divided by 16632?
18
What is the remainder when 2836150 is divided by 2854?
2128
What is the remainder when 7268463 is divided by 7268454?
9
Calculate the remainder when 386274 is divided by 1146.
72
What is the remainder when 117898 is divided by 39260?
118
What is the remainder when 418042 is divided by 1118?
1028
Calculate the remainder when 3183985 is divided by 636787.
50
Calculate the remainder when 112731888 is divided by 295.
293
What is the remainder when 328132347 is divided by 82?
81
Calculate the remainder when 2370181 is divided by 2110.
651
What is the remainder when 50136995 is divided by 156?
155
What is the remainder when 9239840 is divided by 39?
38
Calculate the remainder when 2524204 is divided by 552.
460
What is the remainder when 4522077 is divided by 3340?
3057
Calculate the remainder when 1846890506 is divided by 2857.
2855
What is the remainder when 33853 is divided by 10314?
2911
Calculate the remainder when 301274 is divided by 309.
308
Calculate the remainder when 869667 is divided by 891.
51
What is the remainder when 24169 is divided by 997?
241
Calculate the remainder when 14318972 is divided by 7.
3
Calculate the remainder when 6568317 is divided by 1094718.
9
What is the remainder when 53862 is divided by 6685?
382
What is the remainder when 706276 is divided by 50333?
1614
What is the remainder when 52469 is divided by 10252?
1209
Calculate the remainder when 222312535 is divided by 14.
11
What is the remainder when 5941441 is divided by 1?
0
What is the remainder when 470314838 is divided by 5560?
5558
What is the remainder when 23875723 is divided by 10697?
19
What is the remainder when 6950107 is divided by 2734?
279
What is the remainder when 568021 is divided by 249?
52
Calculate the remainder when 319946769 is divided by 10.
9
Calculate the remainder when 29091626 is divided by 2909160.
26
What is the remainder when 16095 is divided by 4043?
3966
Calculate the remainder when 77386506 is divided by 86.
8
Calculate the remainder when 28024559 is divided by 373.
323
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
3*y, -826 = 3*i + h*y - 3557. Is i a composite number?
True
Let l = 1300 + 753. Is l composite?
False
Suppose -3*r = -0*r - 3, -b + 24 = -r. Let g(y) = -y - 2. Let x be g(4). Let f = x + b. Is f a prime number?
True
Suppose 5*w = -3*z + 4*w + 10, 2*w + 4 = 0. Suppose z*t + 18 - 46 = 0. Suppose -2*v - a + 10 = -t, -2*v = 4*a - 26. Is v a composite number?
False
Let u = 4118 + -2611. Is u a composite number?
True
Let i = -6568 - -19949. Is i prime?
True
Suppose -f = 3*a + 1, 2*f - 6*f = -3*a - 11. Is f/8 - 2529/(-12) a composite number?
False
Let b = 12 + -8. Suppose 0 = -b*c + 2352 - 84. Let p = c - 364. Is p a composite number?
True
Suppose -3*q + 6*q - 5*t - 24 = 0, 5*t = -15. Suppose 0 = -2*j - 0*c + c + 529, 0 = c + q. Is j a prime number?
True
Suppose 0 = c + 1836 - 8879. Is c a composite number?
False
Let v be -1 + (3/(-1))/((-6)/8). Is 2 - (v/1 + -32) prime?
True
Let j(d) = 28*d**3 + d**2 - 4*d + 3. Is j(2) a composite number?
False
Suppose -118158 - 71376 = -6*s. Is s prime?
False
Let h(m) = 187*m**2 + 7*m - 21. Is h(4) prime?
True
Let s(f) = 4*f**2 - 4*f - 1. Let q be s(-3). Suppose -3*d + 572 = q. Suppose -5*t + 3*o + d = 0, -3*t - o + 175 = 2*t. Is t a prime number?
False
Let g = 48 - 44. Is (-4 + g + 1)*(1 + 1170) prime?
True
Let u = 84 + -78. Suppose 11*a = u*a + 555. Is a a prime number?
False
Suppose 20 - 2 = 3*b. Let k(j) = j**3 - 6*j**2 - 4*j + 8. Let s be k(b). Is (-4)/s - (-387)/4 a prime number?
True
Let h(v) = -71*v + 65. Let u be h(-13). Let r = u - 249. Is r prime?
True
Let l(g) = -1613*g + 39. Is l(-4) prime?
True
Let y be (-186)/3*-1*4. Let p = 396 - y. Suppose 3*h - p = -h. Is h composite?
False
Let x be ((144/20)/(-2))/(6/(-15)). Is (x + 6)*(-3)/9*-443 composite?
True
Let w(s) = s**3 + 24*s**2 - 25*s + 33. Is w(-25) prime?
False
Suppose 10*o - 7*o + 3*h = 6582, -5*o - 3*h = -10968. Suppose -399 = 6*r - o. Is r a prime number?
False
Suppose 9*h - 4*h + 3*i - 1 = 0, 0 = -5*h + 3*i + 19. Let g(m) = -18*m + 3. Let o be g(-5). Suppose 5*y - h = o. Is y a prime number?
True
Let u(y) = -4*y**2 + 10*y + 27. Let p(c) = -7*c**2 + 21*c + 55. Let b(z) = 6*p(z) - 13*u(z). Is b(9) a prime number?
False
Suppose 8*g = -66 - 150. Is (-5052)/g + 2/(-18) a prime number?
False
Let q be (-2)/((-3)/(-18)*-2). Suppose 8 = 4*a, 3*u - a = q + 1. Suppose 0 = u*v - 614 - 85. Is v a prime number?
True
Suppose -5*s + 19 = -26. Suppose 0*o + s*o = 711. Is o a composite number?
False
Suppose -4*u = -3*n - 86639, n = -u - 3*n + 21674. Is u a prime number?
False
Let q(v) = -v**3 - v**2 + v. Let w be q(-2). Suppose -5*j = -j, -w*a - 12 = -2*j. Let i(c) = -c**3 + 3*c**2 + 4*c + 1. Is i(a) a composite number?
True
Suppose 3*z + 4*m = 5, 2*m = -4*z - 2*m + 8. Let x be (-13)/((-39)/612) - z. Let c = -142 + x. Is c a prime number?
True
Let r(c) = 2132*c + 183. Is r(7) composite?
False
Let g be 7 - (0 + (2 - 1)). Suppose 0 = -g*r - r + 12901. Is r prime?
False
Suppose 0 = -g - 78 - 74. Let t = g + 274. Suppose p - 4*j = -p + t, -p - 2*j + 41 = 0. Is p a composite number?
True
Is (-69726)/(-10) + 24/60 prime?
False
Let o(f) = 196*f + 27. Suppose 25*w - 21*w - 20 = 0. Is o(w) a prime number?
False
Let y(g) = -3*g**2 + 11*g + 7. Let c be y(9). Let b = -370 + 682. Let h = b - c. Is h prime?
True
Suppose 3*h = 5*i + 392, 4*h - 678 = -h - 4*i. Let x = h - 60. Is x composite?
True
Let q(s) = 88*s**3 + 4*s**2 - 15*s + 4. Is q(3) a prime number?
True
Is 6/4 - ((-19019)/14 - 1) prime?
True
Let p = 5350 + 9217. Is p a composite number?
True
Suppose -2*n + 274 = 2*l - 8968, -2*l - 4*n = -9242. Is l a composite number?
False
Is 2864 + 6/2 - 0 a composite number?
True
Let y = -30174 - -20193. Let s = y - -15128. Is s a prime number?
True
Let p = 20 + -11. Let v be (-3 + p)/((-1)/(-8)). Suppose -v + 159 = s. Is s a prime number?
False
Let n(s) = 7*s**2 - 3*s + 27. Is n(4) a prime number?
True
Suppose 2*s = 6*s. Let x = 1 + s. Suppose 16 = 4*r + u, 0 = -r - 5*u + 5 - x. Is r prime?
False
Let m(y) = -76*y**3 + 2*y - 1. Let h be m(1). Let p = -38 - h. Is p prime?
True
Let d(u) = 139*u**2 + 35*u + 363. Is d(-13) a composite number?
False
Suppose 0 = 856*p - 847*p - 718209. Is p composite?
False
Let b be 1 + -8 + 45/(-15). Let m = 25 + b. Is (-536)/(-6) + (-5)/m a composite number?
False
Let s = -113 + 116. Suppose -4*u = 5*v - 18043, 0 = s*u - 5*u - 4*v + 9026. Is u composite?
False
Let o = 10 - 7. Suppose 9*s - 5*s = 1896. Suppose -6*y + s = -o*y - 3*n, -4*n - 12 = 0. Is y prime?
False
Let o(q) = 82*q**3 + 2*q - 1. Suppose 0*m - 8 = -4*m. Is o(m)
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -3*b + 129 + 15 = 0. Let i be 26/(2/b*(-68)/1275). Round i to the nearest 10000.
-10000
Suppose -3*z = 2*c - 12, 3*c - 5*z + 7 = -13. Suppose c = -8*n - 254352 - 129648. What is n rounded to the nearest ten thousand?
-50000
Let q = 330 + -381.7. Round q to 0 decimal places.
-52
Suppose 3*f + f + 1371198 = -k, 4*k = -f - 342792. What is f rounded to the nearest one hundred thousand?
-300000
Let u = 319 - 224. Let k = u - 94.995. Round k to three decimal places.
0.005
Let w = 136.1 + -130.824. Round w to 1 dp.
5.3
Let r = -1.4 + 1.432. Let g = r - 0.031. Round g to three decimal places.
0.001
Let n = 364.59 + 106.31. Round n to the nearest ten.
470
Let n = -0.09386066596 + 134.09386115596. Let w = n - 134. What is w rounded to 7 decimal places?
0.0000005
Let f = 46458954011.000000068 + -46458953924. Let a = 87 - f. What is a rounded to 7 dps?
-0.0000001
Let b be -8 + 8 + 1/((-1)/(-12)). Let z be (-1)/6 - 163199998/b. What is z rounded to the nearest one million?
-14000000
Let a = -16.1 + 16.1000108. Round a to 6 dps.
0.000011
Suppose -w - 4017996 = -m - 0*m, 5*m = -20. Round w to the nearest 1000000.
-4000000
Suppose -12 = 5*p - 6*p. Let y(j) = j**3 - 13*j**2 + 12*j + 5. Let g be y(p). Let b(s) = 144000*s**2. Let a be b(g). Round a to the nearest 1000000.
4000000
Let h = -1510.925 - -1416. Let g = h + 95. Round g to 2 decimal places.
0.08
Let j = -11.9 - -12. Let r = 108.1 - j. Let x = -108.000257 + r. What is x rounded to 5 decimal places?
-0.00026
Let r = -346366700.71 + 6766122.71. Let w = -339600549.0000106 - r. Let n = 29 - w. What is n rounded to six decimal places?
0.000011
Let v = -11 + 10.92. Let r = v + 0.07999995. What is r rounded to seven decimal places?
-0.0000001
Let i = 15.09 - 16.4. Round i to 1 decimal place.
-1.3
Let w be ((-662)/(-4))/(5/2870). Suppose -2*a - 190001 = d, a = -0*d + 3*d - w. What is a rounded to the nearest ten thousand?
-100000
Let m = 367 - 515.4. Let s = m + 17.4. Let y = s + 131.00189. Round y to 4 dps.
0.0019
Let n = 512 - 485.875. Let r = -26 + n. Let k = r + -0.288. What is k rounded to two decimal places?
-0.16
Let x(r) = -25*r - 10589000. Let n be x(0). What is n rounded to the nearest 100000?
-10600000
Let o = 7.04 + -7. Let r = 2.04 - o. Let l = r - 1.99999. Round l to 6 decimal places.
0.00001
Suppose 5971 = 18*r + 54787. Let t = -1902 - r. Round t to the nearest 100.
800
Let w(i) = i**2 + 24*i + 49. Let l be w(-22). Suppose 4*n - 3*q + 5*q = 287604, -l*q = 3*n - 215710. Round n to the nearest ten thousand.
70000
Let o(u) = 979478*u**2 - u - 1. Let w be o(-3). Let r = w + -3146014. Let y = -13369290 + r. Round y to the nearest one million.
-8000000
Let k be 6/((-9)/(-228435)*1/(-10)). What is k rounded to the nearest 100000?
-1500000
Let p = -0.254 + -0.016. Let a = 0.269996 + p. Round a to six decimal places.
-0.000004
Let t = 8940.915 + -8916. Let b = 25 - t. Round b to 2 dps.
0.09
Let y = 79.02 - 0.02. Let n = y + -79.000134. Round n to 5 dps.
-0.00013
Suppose -22*z = -4*m - 18*z + 79120016, 0 = -4*m - 2*z + 79119992. Round m to the nearest 1000000.
20000000
Let j = -0.03782 + -17.16418. Let m = j + 17.5. Round m to 2 decimal places.
0.3
Let c = -3.93 + 14.64. Let y = c + 0.29. Let g = -10.999978 + y. Round g to five decimal places.
0.00002
Let p = -81 + -31. Let q = p + 347. What is q rounded to the nearest ten?
240
Let p = -25 + 7. Let v = 18.76 + p. What is v rounded to 1 dp?
0.8
Let q be (1 + 0)*-163*(-2)/(-2). Let x = q + 55. What is x rounded to the nearest ten?
-110
Let m = -29.8 - 40.6. What is m rounded to the nearest 10?
-70
Let c = -106 - -77. Let q = -1011.264832 - -1040.2649. Let s = q + c. Round s to 5 dps.
0.00007
Let s = 1052960511.0000202 - 1052960354. Let j = 157 - s. What is j rounded to 6 dps?
-0.00002
Let d = 16501 - 95701. Round d to the nearest 1000.
-79000
Let q(o) = -2*o - 4. Let b be q(-3). Let h be ((-4)/(-5))/((-4)/(-40)). Suppose b*z - h = 3*z. What is z rounded to the nearest 10?
-10
Let v(x) = -x**3 + 8*x**2 + 10*x - 3. Let w be v(9). Let z be 10442/12 - 1/w. What is z rounded to the nearest 100?
900
Suppose 4*r + n + 781 = 0, 46 = -5*r + n - 919. Let h = 39 - r. Round h to the nearest ten.
230
Let h = -1952 - -1951.7719. What is h rounded to 2 dps?
-0.23
Let f = 403 + -403.0000041. Round f to six dps.
-0.000004
Let h = -5.8780996 + 6.1781. Let u = 0.3 - h. Round u to 6 decimal places.
0
Let s = -46.396 + 0.196. Let j = -42 - s. Let p = j + -4.200054. Round p to 5 dps.
-0.00005
Let y = 3.485 - 0.055. Let f = 46.53 - y. What is f rounded to zero decimal places?
43
Let b = 812.4 + -812.40009002. What is b rounded to five decimal places?
-0.00009
Let q = -6 - -50. Let n = -43.99976 + q. What is n rounded to four decimal places?
0.0002
Let t = -552930 - -552890.9983. Let z = t + 39. What is z rounded to four dps?
-0.0017
Let d = -1.1 + -1. Let y = 580.924 - 579. Let q = y + d. What is q rounded to two decimal places?
-0.18
Let n = 20 + -50. Let f = n - -29.983. What is f rounded to three decimal places?
-0.017
Let z be 3/(-2*(-
|
{
"pile_set_name": "DM Mathematics"
}
|
t(147) - sqrt(147)*-2))**2*-2*5 - (((sqrt(147) + -1)*-6)**2 + (-2*sqrt(147) + -1 - sqrt(147) - sqrt(147))**2).
-20951 + 1288*sqrt(3)
Simplify sqrt(22)/(sqrt(11)*-1) + (sqrt(242) - (sqrt(242)*2 + sqrt(242))) - (0 + (sqrt(4) + sqrt(8)/sqrt(2))/sqrt(2)) - (sqrt(224)*6)/(sqrt(700) - 3*sqrt(700)).
-119*sqrt(2)/5
Simplify 4 + 2 + 2 + (sqrt(252) - -6*(sqrt(252) + -2) - -5*(sqrt(252)*2)**2)*2.
84*sqrt(7) + 10064
Simplify (((sqrt(297) + -2*sqrt(297)*-3 + sqrt(297) - sqrt(297) - sqrt(297))/(-1*sqrt(539)))/(sqrt(225) + (sqrt(225)*2 - sqrt(225))*-6 + -1*-2*sqrt(225)))**2.
12/1225
Simplify (6*1*sqrt(110)*-2*6)/((sqrt(1000) + (sqrt(1000)*1 - sqrt(1000)))*-6 + (2*sqrt(1000)*1 - sqrt(1000))).
36*sqrt(11)/25
Simplify (4*sqrt(136)/(sqrt(8)*-1*-1 + sqrt(8)) - (sqrt(17)*3*6*-5 + 2))**2*-1.
-143892 + 368*sqrt(17)
Simplify ((sqrt(117)/sqrt(3) - sqrt(39))*-4)/(sqrt(18)/sqrt(6)*-2) - ((sqrt(13)*-2*-5)**2 + 3*(0 + sqrt(13) + sqrt(13)))*5*3.
-19500 - 90*sqrt(13)
Simplify 3*(sqrt(119) - (sqrt(119) - (4*((sqrt(119) - (-3*sqrt(119) + sqrt(119))) + sqrt(119)) + sqrt(119))) - -3*4*sqrt(119))/(-3*2*sqrt(343)*-1).
29*sqrt(17)/14
Simplify ((-3 + sqrt(396) + 0 + 2 + (sqrt(11) - (sqrt(11) + -1)) + -1 + (sqrt(99)/sqrt(3))/sqrt(3) + sqrt(11))*1*2)**2.
-64*sqrt(11) + 2820
Simplify -6*(sqrt(45)*-6 + -3)**2 + (6*(sqrt(320) - -2*sqrt(320)) - 5*(sqrt(320) + sqrt(320) + -1))**2.
-8*sqrt(5) + 10731
Simplify 5*(-3*6*5*(sqrt(1900) - (2 + sqrt(1900))**2) + 4)*4.
54000*sqrt(19) + 3427280
Simplify ((-3*(sqrt(2) + -2 + sqrt(6)/sqrt(3))*-2 + (1 + sqrt(20)/(2*sqrt(10)))*1)*-2)**2.
-1100*sqrt(2) + 1734
Simplify -6*(sqrt(108) + (2*sqrt(108))**2 + sqrt(108)) - (sqrt(108)*-3*-3)**2 - (-5*(sqrt(108) + 1*sqrt(108))**2 - sqrt(108)*-2*4).
-9180 - 120*sqrt(3)
Simplify ((sqrt(144) - sqrt(144)*-2 - sqrt(144)) + sqrt(144))/sqrt(12)*-2 - (sqrt(3) + (sqrt(3) + -3 + sqrt(3))**2 + -2 - 3*sqrt(3)*-4).
-13*sqrt(3) - 19
Simplify (3*sqrt(136))/(sqrt(2) - sqrt(32)*-1) + ((sqrt(17)*-2 + 5 - -3*sqrt(272))*-5)**2.
12506*sqrt(17)/5 + 43125
Simplify ((sqrt(171) + sqrt(171)*2*-1 + sqrt(171))*4*2)/((((sqrt(90) - sqrt(90)*1 - sqrt(90)) + sqrt(90))*4 + sqrt(90))/(sqrt(70)/sqrt(112))).
0
Simplify (0 + sqrt(245) + -5 + -2*sqrt(245) + 2 + (sqrt(245)*2 + 2 + sqrt(245) + -6*1*sqrt(245) + sqrt(245))*2 + 4)**2.
-350*sqrt(5) + 6150
Simplify ((sqrt(441)*-2)/sqrt(9) + sqrt(49) - sqrt(245)/sqrt(5)*4)/((-6*sqrt(784))/(sqrt(84)/sqrt(108)))*-6.
-5*sqrt(7)/12
Simplify 2*((2 + sqrt(72))**2 + -4 - sqrt(72)) + (sqrt(72) - (1*sqrt(72) + -3)) + (-2 + sqrt(72))**2 + 5.
12*sqrt(2) + 228
Simplify (sqrt(64)*1 - (1*sqrt(176))/sqrt(11))/((sqrt(220)/(sqrt(55)/sqrt(5)))/(sqrt(40)*2)).
8*sqrt(2)
Simplify (6*(sqrt(187)*1 + sqrt(187))*-1*3)/((sqrt(220)/sqrt(4)*-6 - sqrt(55))/(sqrt(20)/sqrt(4)*5)).
180*sqrt(17)/7
Simplify (5 + 1 + (sqrt(1300)*2*-2 - -5*(0 + sqrt(1300)))*-4 + -3)**2.
-240*sqrt(13) + 20809
Simplify 4 + (sqrt(15)/sqrt(5) + -1 - (4 + sqrt(9)/sqrt(3) + sqrt(3))) + ((sqrt(384)*-5)/((sqrt(8) - sqrt(200)*-4) + sqrt(8)))**2.
-sqrt(3) + 179/121
Simplify ((-5*(sqrt(385) + sqrt(385)*1 - sqrt(385)))/(sqrt(7) - 2*(sqrt(7) - (sqrt(7) + sqrt(28)/sqrt(4))) - sqrt(7)))/((4*sqrt(10)/sqrt(2) + sqrt(1125))*-3).
5*sqrt(11)/114
Simplify (3 + -6*(((((sqrt(2057) + 1 - sqrt(2057)) + sqrt(2057))*-2)**2 - sqrt(2057)) + -3) + 0 + -2)*6.
-296238 - 2772*sqrt(17)
Simplify 4*(sqrt(1584) + (sqrt(1584) + 3)**2 + 0) + (sqrt(44)*2*5 - ((sqrt(44) + 2)*5)**2).
156*sqrt(11) + 5172
Simplify -3*(((sqrt(1900) + 0)*-3 + 1)**2*4 - 1*(4 + (2*sqrt(1900) - sqrt(1900))**2*2)).
-193800 + 720*sqrt(19)
Simplify (1*sqrt(360)*-2*-5)/((4*(sqrt(2) + sqrt(2) + sqrt(2)*-2) - sqrt(150)/sqrt(3))*1).
-12*sqrt(5)
Simplify (sqrt(156) - (sqrt(156) - -6*1*sqrt(156)) - (sqrt(156) + 5*sqrt(156)*2))/((sqrt(84) - (sqrt(84) - -1*2*sqrt(84)) - sqrt(84))/(3*sqrt(28))).
34*sqrt(13)
Simplify 4*(3 + (-1 + sqrt(17))*-6 - (0 + sqrt(272)*1))*-5*-4.
-800*sqrt(17) + 720
Simplify 5 + (-1 + (-3 + sqrt(405) + sqrt(405) + sqrt(405)*2 + -2*sqrt(405) + 5)**2 + 2)*2*3.
432*sqrt(5) + 9755
Simplify 2*-5*(2*sqrt(1500))/sqrt(12) + (-1 + ((sqrt(20)*2)/sqrt(4))**2 - (-6*sqrt(15)/sqrt(3) + sqrt(5) + (-3 + (sqrt(20)/sqrt(4) + sqrt(5))**2 - sqrt(5)))).
-94*sqrt(5) + 2
Simplify (-1*sqrt(208)/sqrt(4))/(sqrt(180)/sqrt(5)) + (-4 + sqrt(325) + 1 - (sqrt(325) + 1 + (sqrt(325) - ((sqrt(325) - sqrt(325)*1) + sqrt(325))**2))).
-16*sqrt(13)/3 + 321
Simplify (-5*sqrt(1152)*2*-2 - (-2 + ((sqrt(32) - 1*(sqrt(32) + 2*sqrt(32))) + -
|
{
"pile_set_name": "DM Mathematics"
}
|
2466*c**2*y + 97730*c*y wrt c.
-24932*y
Find the second derivative of 2*l**5 - 2*l**3*y + 5*l**3 + 603*l**2 + l*y + l - 4*y - 1758 wrt l.
40*l**3 - 12*l*y + 30*l + 1206
Find the third derivative of -3*a*w**6 + 3180*a*w**5 + a*w**2 + 10047*a wrt w.
-360*a*w**3 + 190800*a*w**2
What is the second derivative of 213831*b**4 - 342*b - 253 wrt b?
2565972*b**2
What is the derivative of 89586*v**3 + 68152 wrt v?
268758*v**2
What is the first derivative of 10584*o**3*t - 4*o**2*t - o*t**3 - 29*t**3 + 5962*t**2 wrt o?
31752*o**2*t - 8*o*t - t**3
Find the third derivative of -8*a**5 + 140*a**3 + 31155*a**2.
-480*a**2 + 840
Find the third derivative of -1116148*d**4 + 3*d**3 - 3*d**2 + 70544 wrt d.
-26787552*d + 18
Find the third derivative of -5019*l**5*v**2 - 8*l**5*v + 371*l**2 + 709*v**2 wrt l.
-301140*l**2*v**2 - 480*l**2*v
What is the second derivative of 2280476*c**3 - 2649710*c?
13682856*c
What is the third derivative of 1277901*a**4 - 895180*a**2 wrt a?
30669624*a
Find the third derivative of -221945*d**3*m**3 - 3*d**3*m**2 + 17779*d wrt m.
-1331670*d**3
What is the second derivative of -1061309*q**2*y**2 - 2*q**2*y - 13*q*y**2 - 1332*y**2 - 2*y - 2 wrt q?
-2122618*y**2 - 4*y
What is the second derivative of -4*w**3 - 526*w**2 - 9381*w + 8?
-24*w - 1052
What is the second derivative of -8*a**3*c**2 - 454*a**3*c + 3*a**3 + 9*a**2*c**2 + 3*a**2 - 6*a*c**2 - a*c - 4*c**2 - 20 wrt c?
-16*a**3 + 18*a**2 - 12*a - 8
Find the third derivative of 2*h*w**4 - 180*h*w**3 + 101106*h*w**2 + h + 2686*w**4 + 3*w**2 wrt w.
48*h*w - 1080*h + 64464*w
What is the second derivative of 2852425*h**2 - 1784768*h wrt h?
5704850
What is the third derivative of 1187628*s**3 + 429492*s**2?
7125768
What is the first derivative of 2*c**2 - 3682*c - 90371?
4*c - 3682
What is the third derivative of -569*d**3*g**3 + 4*d**3*g + 20*d**3 - 13*d**2*g**3 - 4*d**2*g + d**2 - 126*g**3 + 2*g**2 wrt d?
-3414*g**3 + 24*g + 120
What is the third derivative of -22*t**4 + 95*t**3 + 51*t**2 + 2*t - 1?
-528*t + 570
What is the second derivative of 7*a**4*k**3 - 70587*a**4 + 7*a*k**3 + 14*a + 273*k**2 - 1 wrt a?
84*a**2*k**3 - 847044*a**2
Differentiate 160*n**2*z**2 + 27*n**2 + 27*n*z**2 + 5*z**2 + 21*z + 344 wrt n.
320*n*z**2 + 54*n + 27*z**2
What is the second derivative of 7*c**3 + 12247*c**2 + 48692*c?
42*c + 24494
Find the second derivative of m**3*t**3 + 4*m**3 - 2058*m**2*t**3 - 5257*m*t**3 + 37*m*t**2 wrt m.
6*m*t**3 + 24*m - 4116*t**3
Differentiate -408*m**3 - 2*m**2*u + 235*m**2 - 447659*u wrt m.
-1224*m**2 - 4*m*u + 470*m
Find the first derivative of -2*f*r - 36*f*z - f - 2*r**4*z + 2164*r*z - 2*z + 88 wrt r.
-2*f - 8*r**3*z + 2164*z
Find the first derivative of 109*a*p - 26817*a*y**2 + 5*a + 2*p*y**2 + 8*p - 1 wrt y.
-53634*a*y + 4*p*y
What is the third derivative of -7*a**2*z**4 - 66*a**2*z - 14441*a*z**4 - 2031*a*z**2 wrt z?
-168*a**2*z - 346584*a*z
Find the first derivative of d**3*j - 9804*d**3 - 16*d**2*j + 2*d**2 + 34*d*j - 2*d + 839*j - 1 wrt j.
d**3 - 16*d**2 + 34*d + 839
Find the third derivative of 5173*u**6 + 319*u**3 - 4166128*u**2 wrt u.
620760*u**3 + 1914
Find the first derivative of -23*s*u**4 + 266*s*u**2 - 8*s*u - 253106*s wrt u.
-92*s*u**3 + 532*s*u - 8*s
Differentiate -125243*d - 47766 wrt d.
-125243
What is the first derivative of -52*j**2*q + 39*j**2*r + j*r**2*y + 3651*q*r**2 + q*r*y - 2*r**2*y - r**2 wrt j?
-104*j*q + 78*j*r + r**2*y
Find the third derivative of -39474*b**6 - 21*b**4 + 14*b**2 - 60768*b wrt b.
-4736880*b**3 - 504*b
Differentiate 16934*k**4 - 2*k**3 - 2*k - 35296.
67736*k**3 - 6*k**2 - 2
What is the first derivative of 1812*n**2*w + 1609*n**2 + 219*n*w**4 - 164 wrt w?
1812*n**2 + 876*n*w**3
Find the second derivative of -203967*b**2 + 14*b - 642.
-407934
Find the second derivative of -6*h**2*l**2*s - 56724*h**2*l*s + 11*h*l**2*s - 2*h*l + 827*h - 4*l wrt h.
-12*l**2*s - 113448*l*s
Find the first derivative of 2029374*m - 2969494.
2029374
Find the third derivative of p**6*z**2 + 5615*p**3*z**3 + 41*p**2*z**2 - p**2 + 132*p*z**3 - 2*z**3 wrt p.
120*p**3*z**2 + 33690*z**3
Find the third derivative of 87431*y**4 + 1386*y**2 wrt y.
2098344*y
Differentiate 1669768*z - 876021 wrt z.
|
{
"pile_set_name": "DM Mathematics"
}
|
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