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0.1, g, -2/5, k? 0.1 Let n = -9335/3 - -3112. What is the closest to 1/5 in 32, n, -4/7? n Let j = 488/5 - 98. Let n = 7.14 + -8. Let v = -1.86 - n. What is the nearest to 2/7 in j, 5/3, v? j Let m(q) = -171*q + 2911. Let t be m(17). Which is the closest to 0.457? (a) -0.3 (b) -5 (c) t (d) -2/9 d Let q = -26 - -24....
{ "pile_set_name": "DM Mathematics" }
en q is divided by 4? 2 Suppose 0 = 5*x - 5*d - 75, d + 0*d - 105 = -5*x. Calculate the remainder when 37 is divided by x. 17 Let i(k) = 3*k - 5. Let f = 3 + 2. Calculate the remainder when 28 is divided by i(f). 8 Let b = 25 - 15. Let o = 19 - b. Calculate the remainder when 17 is divided by o. 8 Let f(p) = -2*p + 9. ...
{ "pile_set_name": "DM Mathematics" }
. Let c = w + v. Round c to 4 dps. 0.0004 Let d = 29671.55541 + -29672. Round d to one decimal place. -0.4 Let q = 0.1183 - 60.4183. Let z = q - -60.29999737. What is z rounded to 7 decimal places? -0.0000026 Let g(p) = 133*p**2 - 102*p + 1026. Let i be g(11). Round i to the nearest one thousand. 16000 Let g be 26 + 1 ...
{ "pile_set_name": "DM Mathematics" }
common factor of 103197780 and 1170. 90 Calculate the highest common factor of 45375 and 20576050. 3025 Calculate the greatest common factor of 974979 and 140081. 127 What is the highest common divisor of 1813441060 and 3140? 3140 What is the highest common divisor of 3657478 and 249? 83 What is the highest common fac...
{ "pile_set_name": "DM Mathematics" }
15701908 wrt t? 98384388*t**3 What is the second derivative of d*n**2*z + 21*d - n**2*z + 47763*n**2 - 10*n*z - 39592*n wrt n? 2*d*z - 2*z + 95526 Find the second derivative of 431*b**3 - 311809*b**2 + 512157837*b. 2586*b - 623618 Find the second derivative of -22*k**2*m**3*z**2 - 47515*k**2*z**2 - 6295*k**2 + 7*m**3*z...
{ "pile_set_name": "DM Mathematics" }
the lowest common multiple of 429 and 351. 3861 Calculate the least common multiple of 2346 and 8. 9384 What is the common denominator of 6 and 14/617? 617 Calculate the common denominator of -64/987 and 107/846. 5922 What is the smallest common multiple of 837 and 3069? 9207 Calculate the smallest common multiple of ...
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 10241278? 2, 491, 10429 List the prime factors of 220725. 3, 5, 109 List the prime factors of 1929086. 2, 83, 11621 What are the prime factors of 791? 7, 113 List the prime factors of 3651987. 3, 1217329 List the prime factors of 7183490. 2, 5, 718349 List the prime factors of 16209306. 2,...
{ "pile_set_name": "DM Mathematics" }
5? 512027 Which is the second smallest value? (a) -0.0573 (b) -4 (c) -1472 (d) -1 b What is the fourth smallest value in -0.1, 0.3, -2/9, -19683/22? 0.3 Which is the third smallest value? (a) -2/11 (b) -97799/5 (c) 1/4 (d) -0.005 d Which is the third smallest value? (a) -4 (b) 2 (c) -0.5 (d) 4 (e) 3/14 (f...
{ "pile_set_name": "DM Mathematics" }
1050 Let m(q) = -3*q - 60. Let f(x) = 14*x + 299. Let h(w) = 2*f(w) + 11*m(w). What is the least common multiple of 27 and h(-14)? 216 Let z = -41 + 77. Suppose -2*l + 4*l = z. What is the lowest common multiple of 3 and l? 18 Let h be ((-70)/50)/(8/(-14230)) + 3. Let b = h + -2479. Calculate the common denominator of...
{ "pile_set_name": "DM Mathematics" }
sqrt(70))) + sqrt(70) - sqrt(70)))) + (sqrt(70)*-1*1 - sqrt(70)))/(-2*sqrt(160)*-5). 9*sqrt(7)/20 Simplify ((sqrt(704) - (sqrt(704)*2 + 0))**2 + sqrt(44) + -5 + 5*(sqrt(22)/sqrt(2))**2)*1. 2*sqrt(11) + 754 Simplify (sqrt(7200) + 3*(1*sqrt(7200) - sqrt(7200)) - sqrt(7200))/(sqrt(160)*-1). 0 Simplify -5 + 5*(3*sqrt(7) + ...
{ "pile_set_name": "DM Mathematics" }
igit of o? 6 Suppose -v - 3*v = 8. Suppose 17 = -t + y, -3*t + 2*y = -0*y + 49. Let x = v - t. What is the tens digit of x? 1 Suppose -7*o = -o + 12. What is the tens digit of (-507)/(-6) - o - (-3)/(-2)? 8 Let y(v) = -5 - 3*v - 11 - 9 + 20*v**2 + 30. What is the units digit of y(2)? 9 Let s(c) = 34 + 21*c**3 - 11*c**3...
{ "pile_set_name": "DM Mathematics" }
wrt c? -221140*c**3 What is the second derivative of 1274525*f**4 + 1583681*f? 15294300*f**2 Find the third derivative of 83540*o**3*t**5 - o**3*t**2 - 3*o**3 + 12265*t**2 wrt t. 5012400*o**3*t**2 What is the derivative of 641242*n**3 + 899866? 1923726*n**2 Differentiate -4433*q**3 - 16280 with respect to q. -13299*q*...
{ "pile_set_name": "DM Mathematics" }
5 + sqrt(7) + sqrt(175))**2 - sqrt(56)/(-2*sqrt(8))) + (sqrt(7)*2*-6 + (sqrt(7) - 3*sqrt(112)))**2)*-4. -15920 - 242*sqrt(7) Simplify (2*(sqrt(1216)*1 + sqrt(1216)) - sqrt(1216)) + -5 + (-2 + sqrt(1216) + (sqrt(1216) - (1 + sqrt(1216) + sqrt(1216)) - sqrt(1216)) + -5)**2. 152*sqrt(19) + 1275 Simplify (-2*sqrt(891))**2*...
{ "pile_set_name": "DM Mathematics" }
een 12:46 PM and 8:11 PM? 445 What is 36 minutes before 1:59 PM? 1:23 PM How many minutes are there between 11:07 PM and 12:07 AM? 60 What is 532 minutes after 10:46 AM? 7:38 PM What is 514 minutes before 6:30 PM? 9:56 AM How many minutes are there between 12:23 AM and 7:47 AM? 444 How many minutes are there between 1:...
{ "pile_set_name": "DM Mathematics" }
s. -102 Express (-20*g**3 + 30 - 14 - 18)*(-61166 + 61166 - 223*g) in the form n*g**3 + m + i*g**2 + s*g + d*g**4 and give s. 446 Rearrange -20178*w**2 + 116 + 19970*w**2 - 116 to n + h*w**2 + v*w and give h. -208 Express 5347 - 10691 + 9390*k + 5344 in the form h*k + o and give h. 9390 Express 22*w**3 - 6*w**3 - 9*w*...
{ "pile_set_name": "DM Mathematics" }
s before 2:59 PM? 1:12 PM What is 332 minutes after 2:43 PM? 8:15 PM How many minutes are there between 12:07 AM and 5:00 AM? 293 What is 171 minutes after 10:57 PM? 1:48 AM How many minutes are there between 12:21 AM and 4:51 AM? 270 What is 52 minutes after 12:53 AM? 1:45 AM What is 289 minutes before 9:27 AM? 4:38 A...
{ "pile_set_name": "DM Mathematics" }
b: 1, r: 2}. 4/105 What is prob of picking 1 q, 1 b, and 1 p when three letters picked without replacement from {e: 1, d: 2, b: 1, q: 1, w: 2, p: 2}? 1/42 Three letters picked without replacement from zczzzcoa. Give prob of picking 1 o and 2 c. 1/56 What is prob of picking 4 l when four letters picked without replaceme...
{ "pile_set_name": "DM Mathematics" }
s(v) = -4*v**3 + 4*v**2 - 2*v - 7. Let h(o) = -3*o**3 + 3*o**2 - o - 5. Determine -7*h(k) + 5*s(k). k**3 - k**2 - 3*k Let b(l) = -l**3 - 5*l - 5. Let u(a) = -5*a**3 + 8*a**2 + 17*a + 9. Let m(g) = 3*g**3 - 5*g**2 - 11*g - 6. Let c(t) = 8*m(t) + 5*u(t). What is 3*b(z) - 5*c(z)? 2*z**3 Suppose -f = b + 8, -7*b + 2*f = -...
{ "pile_set_name": "DM Mathematics" }
y in descending order. y, l, 0 Let x = 25.9 - 25. Let g = -2.9 - -4. Let n = x - g. Put 5, 0.2, n in descending order. 5, 0.2, n Let p(m) = m**2 - 7*m + 5. Let z be p(6). Let w be z/9*-2 + 0. Put w, -2/9, 0 in descending order. w, 0, -2/9 Let s be ((-2)/6)/(1/(-9)). Suppose -40 = 8*w - 0*w. Suppose -2*t - t - 21 = -3*...
{ "pile_set_name": "DM Mathematics" }
f picking 1 v and 2 j. 1/4 Two letters picked without replacement from oobotbob. What is prob of picking 1 t and 1 b? 3/28 What is prob of picking 1 z and 1 t when two letters picked without replacement from {c: 3, p: 4, t: 1, z: 3}? 3/55 Calculate prob of picking 1 u and 1 b when two letters picked without replacement...
{ "pile_set_name": "DM Mathematics" }
t one million. 3000000 Suppose -6 = -3*j + 2*h, -3*h + 3 = -2*h. Suppose 4*s - 2792 = -j*i, -4*i - s = 2*s - 2794. Round i to the nearest one thousand. 1000 Let q(u) = 3*u**3 + 4*u**2 - 2*u + 1. Let x be q(-4). Let k = 30 + x. Let j be (-1 - k) + (-3 - -5). What is j rounded to the nearest one hundred? 100 Let z = 1.4 ...
{ "pile_set_name": "DM Mathematics" }
d) = 14*d + 29*d**2 - 24*d**2 + 5 + 4. Let z be a(-5). Suppose u - 5*u + z = 0. Calculate the remainder when 62 is divided by u. 14 Suppose 21*j - 15 = 16*j. Suppose j*k + 6*n = 4*n + 8, -5*k - n = -18. Suppose -24 = -2*h - 2*h. Calculate the remainder when h is divided by k. 2 Let s(b) = 2*b**3 - 2*b**2 + 19*b - 65. C...
{ "pile_set_name": "DM Mathematics" }
comes next: 6306, 12736, 19160, 25572, 31966, 38336? 44676 What comes next: 2189, 17914, 60609, 143762, 280861? 485394 What comes next: 4455, 4466, 4495, 4548, 4631, 4750? 4911 What is the next term in -93487, -186973, -280459? -373945 What is next in 1040, 1045, 1056, 1073, 1096, 1125, 1160? 1201 What is the next term...
{ "pile_set_name": "DM Mathematics" }
3*i - 20 = -4*f - 0. Suppose 2*y = f*y. Suppose -5*a + 19 = 3*q, -3*a - 5 = 2*a - 5*q. Solve y*z - 6 = -a*z for z. 3 Let m(v) = 3*v**3 + 2*v + 3*v**2 + 3 - v**2 - 4*v**3. Let c be m(-2). Solve -4*r = -c - 1 for r. 4 Let n be -1 + 5 + (15 - 12). Suppose -2*s = -n*s. Solve s*j + 16 = -4*j for j. -4 Let n(d) be the first ...
{ "pile_set_name": "DM Mathematics" }
What is the hundred thousands digit of 664598? 6 What is the ten thousands digit of 762290? 6 What is the hundreds digit of 5103304? 3 What is the units digit of 4879670? 0 What is the tens digit of 3331536? 3 What is the tens digit of 455038? 3 What is the hundred thousands digit of 158100? 1 What is the units digit o...
{ "pile_set_name": "DM Mathematics" }
(-5)/(-3))*w. Suppose 0 = -3*l + x*k + 19, -3*k - 4 = -l - 1. Solve -h = 2*h + l for h. -3 Let b(d) = -d**3 - d + 3. Suppose 0 = 4*n + o - 5, 4*n = 3*n + o - 5. Let l be b(n). Solve -l*a + 8 + 1 = 0 for a. 3 Suppose n - 2*l - 10 = 2*n, 3*l = -15. Solve -5*p + n = -5 for p. 1 Let c(s) = -12*s + 121. Let y be c(9). Solv...
{ "pile_set_name": "DM Mathematics" }
rm in -133, -138, -145, -154, -165, -178, -193? -210 What is next in 391, 397, 415, 451, 511, 601? 727 What comes next: 51, 45, 45, 57, 87, 141, 225? 345 What is the next term in -18, -55, -104, -165, -238? -323 What comes next: 61, 129, 195, 259, 321, 381, 439? 495 What is next in 5, 107, 379, 905, 1769, 3055? 4847 Wh...
{ "pile_set_name": "DM Mathematics" }
e first derivative of k**5/25 - 3*k**4/20 + 2*k**2/5 + 7. Factor o(t). t*(t - 2)**2*(t + 1)/5 Let v(p) be the first derivative of 3/2*p**2 + 9/2*p**4 + 4*p**3 + 1/2*p**6 + 12/5*p**5 + 0*p - 3. Factor v(o). 3*o*(o + 1)**4 Let y(g) = 25*g**2 + 32*g - 21. Let k(s) = -62*s**2 - 80*s + 52. Let u(h) = 5*k(h) + 12*y(h). Suppo...
{ "pile_set_name": "DM Mathematics" }
eplacement from {c: 6, d: 1, s: 5, j: 3}. 3/91 Three letters picked without replacement from {x: 2, v: 1, q: 5, j: 1}. Give prob of picking 1 j and 2 q. 5/42 What is prob of picking 1 w, 2 j, and 1 c when four letters picked without replacement from {c: 1, y: 1, w: 1, j: 4, v: 1, q: 5}? 6/715 Three letters picked witho...
{ "pile_set_name": "DM Mathematics" }
: 15, 76, 235, 540, 1039, 1780, 2811? 4180 What is next in 10, 6, -2, -14, -30, -50? -74 What comes next: 134, 266, 398? 530 What is next in 2962, 5926, 8890, 11854, 14818? 17782 What is the next term in 2348, 2353, 2360, 2369, 2380, 2393, 2408? 2425 What is the next term in -12221, -12214, -12195, -12158, -12097? -120...
{ "pile_set_name": "DM Mathematics" }
5 What is the remainder when 180662 is divided by 90135? 392 What is the remainder when 26352273 is divided by 5270444? 53 Calculate the remainder when 14202 is divided by 10997. 3205 What is the remainder when 4288158 is divided by 63061? 10 Calculate the remainder when 724599 is divided by 362289. 21 What is the rema...
{ "pile_set_name": "DM Mathematics" }
70 -12125 What is 91775175 divided by 9545? 9615 What is -98952516 divided by 486? -203606 Divide 1864710 by -87. -621570/29 4 divided by -45325257 -4/45325257 Divide 1423 by -592833. -1423/592833 What is 96938 divided by 1688? 48469/844 What is 449610 divided by 15? 29974 1 divided by -168553344 -1/168553344 What is 5...
{ "pile_set_name": "DM Mathematics" }
r of a? True Is (817 - 1 - 84/(-21))*(-1730)/(-40) a multiple of 62? False Does 18 divide 486/1701*665/2? False Let x = -116 + 126. Suppose 0 = 5*w - x, 53 = 5*z - 16*w + 15*w. Does 4 divide z? False Suppose 0 = -5*u - 5*d + 31020, -2*u + 4*d + 9730 + 2702 = 0. Does 16 divide u? True Suppose -456*q + 450*q = -25110 - 1...
{ "pile_set_name": "DM Mathematics" }
tres. 6270077 What is 0.0769186l in millilitres? 76.9186 What is 21/8 of a day in hours? 63 What is 55822.55 millilitres in litres? 55.82255 How many grams are there in 3/25 of a kilogram? 120 What is 15/4 of a litre in millilitres? 3750 Convert 218.0907s to nanoseconds. 218090700000 How many kilometers are there in 2....
{ "pile_set_name": "DM Mathematics" }
e h*y = y for y. 0 Let z = -477 - -484. Solve c = z*c - 30 for c. 5 Let z be -1*(2 - 5) + 37. Suppose 0 = -3*n + 2*y - z, -5*y + 6 + 4 = 0. Let p = n - -16. Solve -5*u = -p*u + 3 for u. -3 Suppose 40 = -x + 6*x. Solve -x*v = -11*v + 9 for v. 3 Let d = -289 + 294. Solve d*a - 3*a = -10 for a. -5 Suppose -20*z - 4*z = 7*...
{ "pile_set_name": "DM Mathematics" }
2*y**2 + y - 1 + 10*y**2 in the form g*y**2 + k*y + o and give k. -1 Express 36*l - l + 32*l + 1 - 6*l in the form s*l + j and give s. 61 Rearrange -77*p - 74*p + 9 + p**2 + p**2 + 160*p to the form r + b*p + k*p**2 and give r. 9 Express (-2*s + s - 3*s + (-1 + s + 1)*(-1 + 1 - 1))*(-2*s + 52*s + 14*s) in the form w*s...
{ "pile_set_name": "DM Mathematics" }
28010 for s. 63 Solve -2591*c + 15207 + 3627 + 15039 = -10174 for c. 17 Solve -2499 = -118155*k + 118204*k for k. -51 Solve -1258 + 1682 = -28*j - 25*j for j. -8 Solve 56840 = 2070*v - 649*v for v. 40 Solve -436977*i + 268680 = -430260*i for i. 40 Solve -13115 = -3887*u + 4102*u for u. -61 Solve -180341 + 66247 = 7019...
{ "pile_set_name": "DM Mathematics" }
- s - h = 3*o, -2*o + s - 12 = 0. Which is smaller: -7 or o? -7 Let i = 88 - 84. Suppose 5*u + i*u - 18 = 0. Which is smaller: 2/113 or u? 2/113 Suppose 2*m + 4 = 2*x + 6, 0 = 2*m + 4*x - 32. Suppose -n + m = n. Suppose -n*r + 8*r + 30 = 0. Is r < -8? False Let c = -687 - -512. Is 0 <= c? False Let n be 0*(19/209)/((-...
{ "pile_set_name": "DM Mathematics" }
hird smallest value? (a) 1 (b) -273 (c) 0.558 (d) -0.3 (e) -1 d What is the biggest value in -3/5, 1970, 0.2? 1970 What is the fifth biggest value in -1/8, 2/43, -94.7, 0.3, -8? -94.7 What is the biggest value in -0.3, -3, -47, 26? 26 Which is the fifth biggest value? (a) 3/7 (b) 0.1 (c) -2/7 (d) 2/63 (e) -2/...
{ "pile_set_name": "DM Mathematics" }
for b. -9 Solve -86*s - 930 = 100*s for s. -5 Solve 0 = 84*b + 130*b - 794 + 2934 for b. -10 Solve -138*c - 15 = -153 for c. 1 Solve -3*s - 9 - 7 = 17 for s. -11 Solve 226139*r + 90 = 226149*r for r. 9 Solve -15*f + 45*f + 1164 = -67*f for f. -12 Solve 7*j - 4271 = -4369 for j. -14 Solve 297*a - 10163 = -3629 for a. 22...
{ "pile_set_name": "DM Mathematics" }
there between 7:19 PM and 6:59 AM? 700 What is 700 minutes after 2:57 PM? 2:37 AM What is 463 minutes before 3:38 AM? 7:55 PM How many minutes are there between 11:35 PM and 11:21 AM? 706 How many minutes are there between 1:11 PM and 1:50 PM? 39 How many minutes are there between 8:47 PM and 7:11 AM? 624 How many minu...
{ "pile_set_name": "DM Mathematics" }
8 What is 376 minutes after 1:07 PM? 7:23 PM How many minutes are there between 3:02 AM and 7:16 AM? 254 What is 309 minutes after 6:45 PM? 11:54 PM What is 687 minutes before 9:29 AM? 10:02 PM How many minutes are there between 1:47 AM and 9:39 AM? 472 What is 584 minutes after 3:34 AM? 1:18 PM How many minutes are th...
{ "pile_set_name": "DM Mathematics" }
et t be (v/30*1)/((-4)/6). Let 1/4*s**4 + 1/4 - 1/2*s**2 - 3/4*s**t - 3/4*s + 3/2*s**3 = 0. Calculate s. -1, 1/3, 1 Suppose -2*b + 17*j + 45 = 12*j, 2*j + 18 = 0. Find a such that -3/2*a**3 + b - 6*a + 16*a**2 - 5/2*a**4 = 0. -3, 0, 2/5, 2 Suppose 3*l - 6 = -0*l. Suppose -39 = -6*z - 15. Let -z*p**l - 8*p + 5*p**2 + 0 ...
{ "pile_set_name": "DM Mathematics" }
(-4)/3. Suppose i*o - 3*n = n - 16, 3*o = -5*n + 31. What is the third biggest value in -2, 4, o? -2 Let k = -1/54 - 97/594. What is the second biggest value in -3/2, 6, k? k Let x = 121/24 - 31/6. What is the third biggest value in 1/9, x, -3, 1/5? x Let v be (1 - 0)/(0 - 1). Let o = -153/2 + 74. Which is the third b...
{ "pile_set_name": "DM Mathematics" }
k. 5 Rearrange -12*w**4 - w**2 - 10*w**4 + 14*w + 4*w**3 - 13*w to the form y*w**2 + x*w**3 + c*w + j*w**4 + t and give c. 1 Express (42 - 46 + 108)*(r - 2*r + 2*r + 3) as s*r + u and give u. 312 Express -5 + 3 - 44*l - 4*l**3 + 42*l + (-12*l + 12*l + 13*l**2)*(4 - 2*l - 4) as t + h*l**2 + x*l**3 + u*l and give x. -30 ...
{ "pile_set_name": "DM Mathematics" }
er? 320 Round 31952.4019 to the nearest ten. 31950 What is 431.78861 rounded to the nearest ten? 430 What is 2503.006463 rounded to the nearest ten? 2500 Round -18.39581858 to four dps. -18.3958 Round -11039.266837 to the nearest one thousand. -11000 What is -0.004286815058 rounded to seven dps? -0.0042868 What is -2.8...
{ "pile_set_name": "DM Mathematics" }
the units digit of -8*(3 + (-7)/2)? 4 Let k(o) = 3*o**3 - 3*o**2 - 4*o - 7. Let y be k(5). Suppose -y = -5*l - z, 5*l + 4*z = -0*l + 282. What is the tens digit of l? 5 Let h(r) = -4*r + 42. What is the units digit of h(10)? 2 Suppose -17*a = -0*a - 1394. What is the units digit of a? 2 Suppose 3*s = -4*a + 2*s + 5, -...
{ "pile_set_name": "DM Mathematics" }
14 + 115*g + 2706. Let y(l) = -29*l - 4. Give 2*k(x) + 9*y(x). -31*x - 2 Let y(g) be the second derivative of g**3/6 - g**2 + 143*g + 1. Let m(c) = -18*c + 39. Determine 6*m(a) + 117*y(a). 9*a Let s(t) = -5*t**3 + 12*t**2 + 7*t - 7. Let w(p) = -5*p**3 + 0*p**3 - 29*p + 11*p**2 + 12*p + 11*p - 6 + 12*p. Determine 6*s(c)...
{ "pile_set_name": "DM Mathematics" }
False Let q = -0.0877 + 0.0877. Let w = -0.033 - 0.137. Is w at most q? True Let q = 8.2 - 8. Suppose -4*y - 2352 = -11*y. Let r = y + -301. Which is greater: r or q? r Let c = 374 - 693. Let x = c + 320. Is x equal to 13/27? False Let r be (-6)/(-8) - (-2)/24*3. Let g be (r/2)/(264/74). Let s = -1/24 - g. Which is sm...
{ "pile_set_name": "DM Mathematics" }
d 0.016202370089 to three dps. 0.016 What is 0.006484126482 rounded to 7 decimal places? 0.0064841 What is 6555713.8 rounded to the nearest 1000000? 7000000 What is -0.0167749753 rounded to four decimal places? -0.0168 Round 179175.969 to the nearest one hundred. 179200 What is 0.06196352979 rounded to 2 decimal places...
{ "pile_set_name": "DM Mathematics" }
/654, -7, 2, 2/7, -2024? 2/7 Which is the third smallest value? (a) 38 (b) 44 (c) 1 (d) 2/7 (e) 4/3 (f) -1 (g) -7 d Which is the fourth smallest value? (a) 2/5 (b) 16/7 (c) 5 (d) -2/3 (e) 0.5 (f) 329 (g) 4 b What is the second biggest value in -1, 2/29, -0.06, 0.1, 4/7, 0.2, -2/9? 0.2 What is the fourth b...
{ "pile_set_name": "DM Mathematics" }
850 Find the common denominator of 87/27256 and -49/68140. 136280 What is the common denominator of -16/315 and -53/24255? 24255 Calculate the lowest common multiple of 1116520 and 1786432. 8932160 Find the common denominator of -71/163713 and -19/33. 163713 Calculate the common denominator of 65/24 and 83/47952. 47952...
{ "pile_set_name": "DM Mathematics" }
+ 63 Let z(c) = -68*c - 7909. Let r(x) = 171*x + 15820. What is 2*r(j) + 5*z(j)? 2*j - 7905 Let c(r) = 31*r**2 - 34*r + 42. Let u(p) = -31*p**2 + 35*p - 49. Determine -7*c(o) - 6*u(o). -31*o**2 + 28*o Let g(q) = -3*q + 47. Let k(j) = -17*j + 258. Let c(x) = 11*g(x) - 2*k(x). Let a(z) be the first derivative of z**2 + ...
{ "pile_set_name": "DM Mathematics" }
82 minutes after 2:49 PM? 4:11 PM How many minutes are there between 12:52 PM and 5:22 PM? 270 How many minutes are there between 4:37 AM and 1:25 PM? 528 How many minutes are there between 8:57 AM and 6:38 PM? 581 How many minutes are there between 12:42 PM and 1:22 PM? 40 What is 490 minutes after 6:20 PM? 2:30 AM W...
{ "pile_set_name": "DM Mathematics" }
5*q**2 + 157*q**4 - 148*q**4 + 0*q**2 wrt q. 216*q Let w(v) = v**2 + 12*v + 29. Let c be w(-9). Suppose -4*h + 23 = -3*i, h + 0 + 23 = -5*i. Find the second derivative of n**2 + h*n**4 - n**c - 3*n wrt n. 24*n**2 Let d(f) = -26*f**3 + 3*f**2 - 4*f + 4. Let m(v) = -53*v**3 + 7*v**2 - 7*v + 7. Let h(n) = 7*d(n) - 4*m(n)...
{ "pile_set_name": "DM Mathematics" }
**2 - 244*q Let o = -8608 - -8612. Let c(z) be the third derivative of 4*z**2 + 0 - 1/24*z**o + 0*z + 0*z**3. Let i(a) = -11*a**2. Calculate c(i(r)). 11*r**2 Let s(w) = -w**2. Let o = -2506 + 2512. Let c(r) be the first derivative of 0*r**2 - 5/3*r**3 - o + 0*r. What is s(c(k))? -25*k**4 Let k(y) = 27104*y. Let x(l) = ...
{ "pile_set_name": "DM Mathematics" }
(p) = -p**2 + 4*p. Determine n(u(l)). -144*l**2 - 48*l Let y(n) = 4*n**2 - 2. Let i(a) = 5*a**2 - 3. Let m(k) = 4*i(k) - 6*y(k). Let s(b) = b**2. Calculate m(s(h)). -4*h**4 Let a(r) = r**2. Let m(i) be the third derivative of -i**4/8 - 6*i**2 + 1. What is a(m(p))? 9*p**2 Let b(d) = -20*d**2. Let x(s) = 9*s**2 - 20*s**2...
{ "pile_set_name": "DM Mathematics" }
denominator of w and j(-4). 7 Calculate the common denominator of ((-124)/16)/(10/8) and 27/8. 40 Suppose -3*a + 24 = -0*a. What is the smallest common multiple of 12 and a? 24 Let t = -15/28 + 941/84. What is the common denominator of 11/4 and t? 12 Let d be 2 - 3 - 2/(-1). Find the common denominator of ((-303)/(-2)...
{ "pile_set_name": "DM Mathematics" }
= 13 - p. Let c(v) = -v**2 + 3*v + 7. Give c(y). -3 Let i(b) = b**3 - b - 13. Suppose 5*x = 5*o - 40, -5*o = 5*x - 3 + 13. Suppose -o*d - 3 = -15. Suppose -3*s + d*q = -2*s + 8, -4*s = -q + 2. What is i(s)? -13 Suppose -5*k - 3 = 2. Let g(q) = -18 - 17 + 74 - 9*q**3 - 2*q**2 - 17 - 21. Calculate g(k). 8 Let u be 135/((...
{ "pile_set_name": "DM Mathematics" }
hird biggest value in -12, -4, y? -12 Let x(f) = -f**3 + 27*f**2 + 26*f + 51. Let g be x(28). Which is the second biggest value? (a) g (b) -0.3 (c) 0 (d) -2/9 d Let z = 2.5 + -2. Let t = 0 - z. Let v = 15/23 - -1/69. Which is the second biggest value? (a) v (b) t (c) 0.4 c Let i be 2 + 9/(-12)*-4 + -6. Which is ...
{ "pile_set_name": "DM Mathematics" }
2, 33929? 68*g**3 - 115*g + 33 What is the u'th term of 861932, 861933, 861934, 861935, 861936, 861937? u + 861931 What is the n'th term of -12239, -12238, -12239, -12242, -12247, -12254? -n**2 + 4*n - 12242 What is the i'th term of 69995, 69994, 69993, 69992, 69991? -i + 69996 What is the y'th term of -117987, -235927...
{ "pile_set_name": "DM Mathematics" }
1797 to the nearest integer? 12 What is 7315 to the power of 1/3, to the nearest integer? 19 What is 2095 to the power of 1/6, to the nearest integer? 4 What is the square root of 4588 to the nearest integer? 68 What is 6969 to the power of 1/9, to the nearest integer? 3 What is 73529 to the power of 1/2, to the neare...
{ "pile_set_name": "DM Mathematics" }
g(a) = 2*a - 8. Let d(p) = -4*p**2. Determine g(d(b)). -8*b**2 - 8 Let v(k) be the second derivative of k**4/6 + 3*k. Let p = 0 + 0. Let n(w) = 4*w + p*w - w. Determine v(n(i)). 18*i**2 Let v(x) = -2*x. Let s(l) = 6*l**2 - 1197. Determine v(s(c)). -12*c**2 + 2394 Let q(t) = -3*t. Let h(x) be the third derivative of 5*...
{ "pile_set_name": "DM Mathematics" }
in -18190616, -18190574, -18190476, -18190298, -18190016, -18189606? -18189044 What comes next: -6069, -10420, -14735, -18996, -23185, -27284, -31275, -35140? -38861 What is the next term in 934377, 1868051, 2801725? 3735399 What comes next: 1061, -137, -1333, -2527? -3719 What comes next: -84317, -170241, -256165, -3...
{ "pile_set_name": "DM Mathematics" }
2 - -87. Suppose 4*t - p = 203. Let c = t - 51. List the prime factors of c. 3, 7 Let p = 55 - 30. Suppose -q - 7 = -2*f, -5 - p = 5*q - 5*f. What are the prime factors of (-7 - -1)/(q/5)? 2, 3 Suppose 3*m + 0*m = -4*n, -5*m = 2*n. Suppose m*s = s - 41. What are the prime factors of s? 41 Let b(n) = -2*n. Let s(d) = -d...
{ "pile_set_name": "DM Mathematics" }
k be w(p). List the prime factors of (-5)/10 + k/(-4). 2 Suppose 29*u = -16848 + 61305. List the prime factors of u. 3, 7, 73 Let k(m) = -24*m**2 + 3*m + 5. Let f be k(-2). Let o = f + 149. What are the prime factors of o? 2, 13 List the prime factors of (2/3)/((-4)/6786*-3). 13, 29 Suppose -22*u + 21*u = -1, -5*u = 5*...
{ "pile_set_name": "DM Mathematics" }
= -a**2 + 9*a - 13. Let t be n(7). Let h be c(t). What is the units digit of 5/15*831 + h? 5 Let j(w) = 265*w + 125. Let t(a) = a - 2. Let g(d) = -j(d) + 6*t(d). What is the tens digit of g(-7)? 7 Suppose 10*o = 16*o - 18. What is the hundreds digit of (-186)/9*o/(-4)*22? 3 Let i be 28250/15 - 6/(-9). Let o = i - 1119...
{ "pile_set_name": "DM Mathematics" }
e Is 17139113 composite? False Is 17719033 prime? True Is 103429 a prime number? False Is 8556959 composite? False Is 378837157 composite? False Is 4188713 prime? True Is 137140021 composite? False Is 51631469 a composite number? True Is 15317662 a prime number? False Is 131902 a prime number? False Is 15098819 composi...
{ "pile_set_name": "DM Mathematics" }
7/240*m**6 + 0*m. Determine f, given that k(f) = 0. -4, 0, 1 Find j, given that 273 - 999*j + 243 + 9*j**2 + 2086*j - 947*j = 0. -86/9, -6 What is t in 406356*t - 6*t**5 + 2*t**5 - 84*t**3 + 56*t**4 - 160*t**2 + 192 - 406180*t = 0? -1, 2, 12 Let q(d) = -3*d**3 - 101*d**2 + 268*d - 178. Let u(m) = 10*m**3 + 311*m**2 - 8...
{ "pile_set_name": "DM Mathematics" }
10*a - 135814 - 13516 = 0. Is a prime? False Let p(n) = 28*n**3 - 33*n**2 + 19*n + 177. Is p(31) prime? False Let n(p) = 7*p**3 - 6*p**2 + 3*p - 9. Let o be (-1)/((-3)/(-14)) + 14/21. Let i be 3 + (-3 - 16/o). Is n(i) a prime number? False Let y(v) = 44*v - 47. Let r(b) = -b**2 + b + 15. Let s = 0 - 0. Let k be r(s). I...
{ "pile_set_name": "DM Mathematics" }
59. Suppose -46 = b*s - 146. Solve -o - 3*o = -s for o. 5 Let i be -5 + 3 - (-1 - 3). Suppose 3*n - 21 = -4*l, l + 4*n - 10 = 8*n. Solve 2*x - l + i = 0 for x. 2 Let d be 2 - 3 - (-4)/1. Suppose -5*a + 4*a = -5*p + 4, 0 = 4*a + 2*p - 50. Suppose a*f + 45 = 67. Solve -13 - f = -d*w for w. 5 Let k(p) be the third deriva...
{ "pile_set_name": "DM Mathematics" }
-12)/(-5))/(1/5). Solve -c*t - m = -2*t for t. -4 Let b = -1 - -3. Suppose b = -2*r + 4. Solve -r = -u - 3 for u. -2 Let r be (-1 - -3)/(2/(-8)). Let y = r + 11. Suppose -3*j = w - 12 - 5, -3*w = -15. Solve y*c = -j - 8 for c. -4 Suppose -4*j + 5 + 11 = 0. Let c = j + -3. Solve -y - c = 3 for y. -4 Suppose -3*p + 7*p =...
{ "pile_set_name": "DM Mathematics" }
, q: 1, w: 1}. What is prob of picking 1 w and 1 t? 1/10 Calculate prob of picking 2 a when two letters picked without replacement from {s: 1, e: 1, a: 2}. 1/6 What is prob of picking 4 d when four letters picked without replacement from ddaaddaddd? 1/6 What is prob of picking 1 g and 1 h when two letters picked withou...
{ "pile_set_name": "DM Mathematics" }
Solve 30885*c = 31486*c - 15626 for c. 26 Solve 681*o + 36354 + 15835 = -20521 - 25354 for o. -144 Solve -m = -20*m - 10*m + 731 - 238 for m. 17 Solve -123*z + 8182 = 3055 - 7296 for z. 101 Solve 210*t = 528*t - 15565 - 17670 + 2389 for t. 97 Solve 122078 = -1945*s - 1340*s - 3347*s - 494698 for s. -93 Solve -14382 - ...
{ "pile_set_name": "DM Mathematics" }
What is the units digit of m? 8 Suppose 5*l + 7*d - 2*d = -320, -5*d = -4*l - 238. Let r = l - -98. What is the units digit of r? 6 Let s = 8 - -4. What is the hundreds digit of s/(-21) + 0 - 2784/(-21)? 1 Suppose -t = -6*t. Suppose 4*r - 8 + t = 0. Let b = 7 - r. What is the units digit of b? 5 Let x(k) = -15*k + 4. ...
{ "pile_set_name": "DM Mathematics" }
te x(4). 8 Let u(i) = -2*i**3 - 109*i**2 + 288*i + 140. What is u(-57)? -31 Let l(s) = 18*s**2 - 32*s - 243. Give l(-6). 597 Let y(s) = -214*s + 881. What is y(4)? 25 Let n(x) = -x**2 - 6*x + 8. Determine n(-7). 1 Let x(u) = -7*u**2 - 354*u - 540. What is x(-49)? -1 Let l(x) = -x**2 - 109*x + 54394. Calculate l(185). 4...
{ "pile_set_name": "DM Mathematics" }
n t is divided by x. 0 Let p(l) = l**3 - 6*l**2 - 29*l - 4. What is the remainder when p(12) is divided by 57? 56 Let p(o) = 4*o**2 + 10*o + 12. What is the remainder when 40 is divided by p(0)? 4 Suppose 6*u + 850 = u. Let j(f) = 3*f. Calculate the remainder when 2*(-1 + u/(-4)) is divided by j(7). 20 Suppose 5*g + 28...
{ "pile_set_name": "DM Mathematics" }
Is 40789625647 prime? False Is 4553626643 prime? True Is 1984121173 a composite number? False Is 43594060871 prime? False Is 4769405779 a composite number? True Is 566226673 prime? False Is 114967759 a composite number? True Is 383970014 prime? False Is 17330977759 a composite number? False Is 18076998923 composite? T...
{ "pile_set_name": "DM Mathematics" }
Calculate the highest common factor of j and 20. 20 Suppose -53*c + 56*c - 732 = 0. What is the highest common divisor of c and 8? 4 Let b = 686 + -670. What is the highest common divisor of b and 248? 8 Let j(q) = -17*q + 46. Let o be j(-4). What is the highest common divisor of 57 and o? 57 Let b be (-223 - -23)*(-1...
{ "pile_set_name": "DM Mathematics" }
2*a**2 - 1677*a - 1508. Give w(-47). -4 Let i(m) = 228*m - 23021. Calculate i(101). 7 Let s(y) = -y**3 + 19*y**2 - 82*y - 60. Calculate s(11). 6 Let g(v) = 167*v - 4665. What is g(28)? 11 Let a(o) = o**3 + 7*o**2 - 170*o - 735. Determine a(-4). -7 Let q(x) = -x**3 + 20*x**2 - 33*x - 72. Determine q(18). -18 Let y(c) = ...
{ "pile_set_name": "DM Mathematics" }
be b(2). Suppose -2*n + k = -v, -5*n + 560 = 5*k - 2*k. What is the greatest common factor of n and 46? 23 Let d be (30/(-3))/(-1 + 0). Let m(f) = -f**2 - 8*f - 5. Let s be m(-6). Let k = d - s. Calculate the greatest common factor of 9 and k. 3 Suppose b = 2*a - 4, 5*a + 5 = -3*b - 7. Let h = b - -125. Calculate the ...
{ "pile_set_name": "DM Mathematics" }
m - 2. Let q(j) = -j - 5. Let g(y) = -y**3 + 15*y**2 - 13*y - 14. Let o be g(14). Let a = 2 + o. Suppose -44 - 16 = 12*c. Give a*q(f) + c*l(f). 3*f Let j be 1/(3/18*-2). Let v be ((-8 - j)/(-1))/(-1). Let i(f) be the first derivative of -5*f**2/2 - 2*f + 6. Let n(a) = -6*a - 3. Give v*i(h) + 4*n(h). h - 2 Let p(w) = 4*...
{ "pile_set_name": "DM Mathematics" }
tive. i Simplify r**3/(r/(r*r*r**(-3)))*(r*r*r**(-1))/r**(-1) assuming r is positive. r**3 Simplify (w*((w**(-29)*w)/w*w)/w*w)**(4/11) assuming w is positive. w**(-108/11) Simplify l**(-6)/((l/(l/(l**(-7)*l)))/l)*l**7/(l*l*l*l**(-5)) assuming l is positive. l**10 Simplify ((z**(-2/15)/z)/(z/(z/(z/(z**(-1)*z))*z)*z))**(...
{ "pile_set_name": "DM Mathematics" }
2105 + 8173 + 15839 = -850*m + 10617 for m. -30 Solve 283 = -475*p + 237*p + 359*p - 2258 for p. 21 Solve 161*i + 84*i + 28792 = 761*i - 28*i for i. 59 Solve -141*j - 6936 = 84*j + 96*j + 6867 for j. -43 Solve -43*v + 356 + 136 = -111*v + 80*v for v. 41 Solve -601*u + 589*u - 97 = -57 + 344 for u. -32 Solve 127*h + 61*...
{ "pile_set_name": "DM Mathematics" }
.23+-1271714 -1271713.77 What is -33730009 less than -3? 33730006 333.5 + 0.0765958 333.5765958 What is 0 minus -340.29128? 340.29128 What is the distance between 22 and 1829857? 1829835 What is 0.577561587 + -4? -3.422438413 What is 77.3101905 - 1.9? 75.4101905 Work out 5 + -0.0124998566. 4.9875001434 What is -3 + -0....
{ "pile_set_name": "DM Mathematics" }
positive. t**(-1359/44) Simplify (t*t**(-6)*t**23)/((((t**1*t*t)/t)/t)/t**(-3/13)) assuming t is positive. t**(218/13) Simplify (n**(2/19))**28*(n/n**39*n)/(n*n**14) assuming n is positive. n**(-932/19) Simplify y*y*y**(-25)*(y/(y**25*y*y))/y*y*(y*y/(y**(-2/15)/y))**(-1/8) assuming y is positive. y**(-5927/120) Simplif...
{ "pile_set_name": "DM Mathematics" }
ecimal places. 0.0000007 Let a = 17.8351 + -17.525088. Let k = a + -0.31. Round k to six decimal places. 0.000012 Let k = 0.18 + 1.11. Let n = k - 0.19. Let c = 0.7 - n. Round c to the nearest integer. 0 Let l(m) = -38889*m**2 + 2*m - 8. Let r be l(6). Round r to the nearest one million. -1000000 Let y(t) = -2592*t**3 ...
{ "pile_set_name": "DM Mathematics" }
ative of -3*s**4 + 501*s**2 + 2*s + 8432. -12*s**3 + 1002*s + 2 Find the second derivative of -18151*p**2 - 18095*p wrt p. -36302 What is the third derivative of -928*j**3*n**5 - 10*j**3*n**2 - 13*j**3 + j*n**6 - 20 wrt n? -55680*j**3*n**2 + 120*j*n**3 Find the second derivative of -2*h**2*i**2 - 4*h**2*i*v + 798*h*i**...
{ "pile_set_name": "DM Mathematics" }
**6/15 + 93*g**4/4 - 305*g**3/6 + g**2/2 + 827*g. What is the second derivative of m(y) wrt y? -24*y**2 + 558 Differentiate 914 - 139*p - 561 - 169*p + 723 + 330*p - 34*p**2 with respect to p. -68*p + 22 Let z = -578 - -583. What is the derivative of 3*r**3 + 479 - 165 - z*r**2 - 150 wrt r? 9*r**2 - 10*r Let q(d) be th...
{ "pile_set_name": "DM Mathematics" }
housands digit of 327842? 7 What is the millions digit of 1379035? 1 What is the hundred thousands digit of 322457? 3 What is the tens digit of 82882? 8 What is the hundred thousands digit of 118203? 1 What is the units digit of 2837956? 6 What is the ten thousands digit of 157607? 5 What is the millions digit of 38742...
{ "pile_set_name": "DM Mathematics" }
ent from {l: 6, s: 3, n: 1, q: 1, o: 1, j: 1}. Give prob of picking 1 n, 1 q, and 1 l. 3/143 What is prob of picking 1 l and 2 n when three letters picked without replacement from ntnkjknnnnntnnlnlln? 55/323 Calculate prob of picking 2 n when two letters picked without replacement from {n: 7, y: 5, f: 8}. 21/190 Four l...
{ "pile_set_name": "DM Mathematics" }
3*x**2 + 2*x - 2. Suppose 0 = 19*o - 15*o + 212. Let g = o - -51. Calculate f(g). -2 Suppose 3*n + 41 = -5*u, -5*u + 0*u - 5*n = 45. Let b(o) be the second derivative of o**4/12 + 3*o**3/2 - 2*o - 16. Determine b(u). -14 Let c = 0 - -12. Suppose 4*k + c = 7*k. Let n(m) = m**3 + 8 + 0*m**3 + 5*m + 0*m**3 - k*m**2 - 3*m...
{ "pile_set_name": "DM Mathematics" }
2*t - 3*p, p = -t + 8. What is the least common multiple of 21 and t? 63 Let r = 2148177/132770 + -101/710. Let f = -336/17 + r. Find the common denominator of f and -47/10. 110 Let i(j) = 2*j - 30. What is the lowest common multiple of i(22) and 50? 350 Let o(u) = u**2 + 4*u + 2. Let j be o(-4). Suppose 9*i + 6 = 3*p...
{ "pile_set_name": "DM Mathematics" }
lve 0 = 4*x + 5*d + 22, -33*d = 3*x - 38*d - 1 for x. -3 Solve -3*s = -4*q + 35, 5 = -44*s + 42*s - q for s. -5 Solve 16 = f + 16, 4*k + 4 = -3*f for k. -1 Solve g + 143*t - 11 = 145*t, 0 = -2*t - 16 for g. -5 Solve n + 2*h = 14, -256*n + 254*n + h = -23 for n. 12 Solve -3*s - 301*q - 33 = -304*q, 4*q = -2*s + 50 for s...
{ "pile_set_name": "DM Mathematics" }
*s + i + d*s**3 + y*s**2 and give d. 4 Rearrange ((1 - 1 - 2*x)*(0 - 2 + 3) + 5*x + x - 3*x)*(4 - 2 + 3)*(-16 + 3 + 0) to the form i + c*x and give c. -65 Express 52*k + 187*k - 54*k + 199*k as u + o*k and give o. 384 Express -12 - 482*n**2 + 68 + 480*n**2 in the form g*n + v + o*n**2 and give o. -2 Express (-1 + 1 + 2...
{ "pile_set_name": "DM Mathematics" }
d + -39.895. Which is smaller: b or -1/2? b Suppose -4*d + 5*l + 27 = -7*d, 0 = -4*d + 2*l - 10. Which is greater: -9.9 or d? d Let c = 0.039 + 23.961. Let y = c - 34. Is -2 <= y? False Let s(l) = 0 - 7*l - l**2 + l**3 + 4 + 5 - 5. Let p be s(3). Let z be (28/(-20) + p)*-20. Do 8 and z have the same value? True Let k ...
{ "pile_set_name": "DM Mathematics" }
(v). Factor z(k). 3*k**2 Let h(y) = y**3 - 10*y**2 + 9*y + 4. Let f be h(9). Suppose s = -2*s + 6. Factor -3*b**4 - 30*b**s - 2 - 4*b**f - 26*b**3 - b**4 - 14*b. -2*(b + 1)**3*(4*b + 1) Let f(u) = 12*u**4 - 2*u**3 - 12*u**2 + 2*u. Let s(x) = -25*x**4 + 3*x**3 + 25*x**2 - 3*x. Let b(j) = -5*f(j) - 2*s(j). Factor b(a). -...
{ "pile_set_name": "DM Mathematics" }
6*j**3 + 4*j**2 Collect the terms in 164887*x**2 + 164893*x**2 - 329797*x**2. -17*x**2 Collect the terms in 1 - 6*j - 31*j - 17*j. -54*j + 1 Collect the terms in 14178*t - 111 - 9*t**2 - 7129*t + 111 - 7051*t. -9*t**2 - 2*t Collect the terms in -98*u - 69 - 2*u**2 + 17 + 44*u - 5 + 54*u. -2*u**2 - 57 Collect the terms ...
{ "pile_set_name": "DM Mathematics" }
nth root of 658 to the nearest integer? 2 What is 1139 to the power of 1/2, to the nearest integer? 34 What is the seventh root of 262 to the nearest integer? 2 What is the square root of 3532 to the nearest integer? 59 What is the square root of 1388 to the nearest integer? 37 What is the cube root of 2594 to the near...
{ "pile_set_name": "DM Mathematics" }
, p. u, -2/7, p Let a = 0.01 - -0.79. Let s = a - -2.2. Sort -1, -3/8, s. -1, -3/8, s Let x(d) = -d**2 + 18*d + 60. Let y be x(21). Let i = -6 - -4. Put i, -2/11, y in decreasing order. -2/11, i, y Let o be 4/(-18) - (-40)/18. Let f be 1/(-1) - 2/2. Sort o, 5, f in descending order. 5, o, f Suppose 4*s - 4 + 0 = 0. Let...
{ "pile_set_name": "DM Mathematics" }