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*p + 188958*t - 157, -5*p + 2*t = 13 for p. -1 Solve 604 = 4*r - 112*o, 45*r - 6*o = -42*r + 82*r + 49 + 36 for r. 11 Solve -4*u = -7*a - 135, -26*a + 27*a = 16*a - 4*u + 271 for a. -17 Solve 4*x + 200 = 1404*l - 1392*l, l = 5*x + 12 for l. 17 Solve -454*o = -458*o + 212, 35*z = 3*o - 54 for z. 3 Solve 2*c + 3*c + 2*g ...
{ "pile_set_name": "DM Mathematics" }
0 + -9.8. Let o = -0.1 - t. Let k = -0.45 - -0.05. Sort k, o, 5 in ascending order. k, o, 5 Suppose -2*n - 2*o + 7 = -7, -2*n = -5*o - 7. Suppose -4*y + 3*m - 4*m = 24, -2*y = -4*m - n. Sort -19, -4, y in descending order. -4, y, -19 Let i be (((-84)/10)/2)/((-1)/5). Let r be (2 + 0)*i/84. Put r, -1/4, 2 in ascending o...
{ "pile_set_name": "DM Mathematics" }
2 dps? -1.47 What is 8.09213 rounded to 1 decimal place? 8.1 What is -1435.6057 rounded to the nearest integer? -1436 Round -534.598 to zero decimal places. -535 Round -0.03398267 to four decimal places. -0.034 What is -0.0154953 rounded to 4 decimal places? -0.0155 What is 6.561516 rounded to 0 decimal places? 7 Roun...
{ "pile_set_name": "DM Mathematics" }
he hundreds digit of 385243? 2 What is the units digit of 1257576? 6 What is the hundreds digit of 711714? 7 What is the ten thousands digit of 168111? 6 What is the thousands digit of 955784? 5 What is the hundred thousands digit of 184997? 1 What is the ten thousands digit of 718252? 1 What is the hundreds digit of 1...
{ "pile_set_name": "DM Mathematics" }
(i*i**(-1/4))**(4/13)) assuming i is positive. i**(12248/1755) Simplify f/(f*f**(-4))*f**(-2/13)*(f**(-1/4)*f)**(19/5)*(f**3*f**(-2/3))**(1/48) assuming f is positive. f**(63131/9360) Simplify ((r**(-2/3)/(r/(r**3/r)))/(r*r**(-1)*r**(1/6)))/((r**(-1/3)*r**(-5))/(r/r**0)**23) assuming r is positive. r**(57/2) Simplify (...
{ "pile_set_name": "DM Mathematics" }
) be the second derivative of 13*p**4/4 + 783*p - 3. Determine b(o(x)). 72111*x**4 - 3354*x**2 + 39 Let t(r) = 16*r - 4. Let g(u) = 42890*u. Determine t(g(l)). 686240*l - 4 Let w(b) = -3756 - 2*b + 3756. Suppose -3*t - 12 = -n, -2*t - 7 = -3*n + 1. Let h(p) = -1 + n + 0 - 21*p**2. Calculate w(h(q)). 42*q**2 + 2 Let t(q...
{ "pile_set_name": "DM Mathematics" }
the common denominator of 2 - 4 - 8/(-22) and (-2 - 54/(-33))/((-300)/330). 55 Let y = -59374645/312 + 190303. Find the common denominator of 61/78 and y. 312 Let l(z) = -z**2 + 4*z - 6. Let i be l(6). Calculate the common denominator of -43/24 and i/8 - -2 - (-154)/(-168). 24 Calculate the common denominator of -43 +...
{ "pile_set_name": "DM Mathematics" }
- y = -0*g. What is the units digit of g? 5 Suppose -249*x + 245*x + 756 = 0. What is the units digit of x? 9 Suppose -8*t - 24 = -6*t. Let y(i) = -2*i + 1. What is the units digit of y(t)? 5 Suppose -5*h + 5*x = -65, -2*h + 4*x = h - 42. Let i = h - -6. What is the tens digit of i? 1 Let l(k) = k**3 - 4*k**2 - 8*k + 6...
{ "pile_set_name": "DM Mathematics" }
e prime factors of 277620748. 2, 31, 151, 14827 List the prime factors of 2355994374. 2, 3, 23, 17072423 What are the prime factors of 96960377? 96960377 What are the prime factors of 188891500? 2, 5, 7, 29, 1861 What are the prime factors of 564096471? 3, 353, 532669 What are the prime factors of 734477978? 2, 13, 31,...
{ "pile_set_name": "DM Mathematics" }
the prime factors of 1128244593? 3, 7, 17, 61, 103, 503 What are the prime factors of 16140710? 2, 5, 23, 70177 List the prime factors of 6159624925. 5, 467, 527591 List the prime factors of 179217514. 2, 7, 251, 51001 What are the prime factors of 440757563? 71, 727, 8539 What are the prime factors of 407331509? 13, 1...
{ "pile_set_name": "DM Mathematics" }
7*d**4 + 3*d**3*x + 464*d**2*x - 2*d**2 - d*x - d - 6632 wrt d? 294979128*d + 18*x Differentiate -195848*d*f*l**2*x - 56822*d*f*l - 24*d*l**2 + 7*f*l**2*x - f with respect to x. -195848*d*f*l**2 + 7*f*l**2 Find the second derivative of 4*x**3*z**3 - 117*x**3 - 6*x**2*z - 80*x**2 + 2*x*z + 2*x + 40938565*z**4 + 2 wrt z....
{ "pile_set_name": "DM Mathematics" }
ich is the second smallest value? (a) -4 (b) d (c) -66 a Let v = -81.4 + 24.4. Let f = v + 57. What is the smallest value in 3, -2/9, 4, f? -2/9 Let g = 0.04846 - -425.35154. Let o = g + -425. Let f = 0.5 - -4.5. Which is the third smallest value? (a) 0 (b) o (c) f c Let k = -3.337 - -3.537. Which is the third sm...
{ "pile_set_name": "DM Mathematics" }
(-62))? 4 What is the units digit of (-22*1)/(16/(-24))? 3 Suppose 0 = -4*x + 4, x + 307 = -0*c + 4*c. What is the tens digit of c? 7 Let p(b) = 29*b**3 - b**2 + b. Let d be 2/(-2) - (-2)/1. Let q be p(d). Let l = q + -20. What is the units digit of l? 9 Let i(b) = 18*b**2. Suppose 3*h - 17 = -c, -7 - 18 = -c - 5*h. Su...
{ "pile_set_name": "DM Mathematics" }
/36 - -26/9. Let m = h - 55/36. Is m less than or equal to d? False Let i = 990 - 1065.1. Let l = i - -75. Which is bigger: l or -1.2? l Let b be 3/(-5)*(-2880)/416. Is 4 greater than or equal to b? False Suppose -1 = 69*q - 68*q. Is 37 != q? True Let g = 19 + -20.1. Let w(s) = 1 + 1 - 20*s**2 + 12*s + 6*s**2 + s**3 + ...
{ "pile_set_name": "DM Mathematics" }
are there between 9:08 AM and 9:41 AM? 33 How many minutes are there between 8:02 PM and 3:27 AM? 445 What is 628 minutes after 8:03 AM? 6:31 PM How many minutes are there between 9:20 AM and 7:02 PM? 582 How many minutes are there between 1:47 PM and 12:39 AM? 652 What is 589 minutes after 10:28 AM? 8:17 PM How many ...
{ "pile_set_name": "DM Mathematics" }
27). -11 Let x(p) = p**2 + 39*p + 113. What is x(-36)? 5 Let n(y) = 88*y + 563. Give n(-7). -53 Let l(g) = g**3 + 28*g**2 + 26*g + 6. What is l(-27)? 33 Let g(j) = -j**3 + 9*j**2 - 17*j + 2. Determine g(6). 8 Let v(q) = 21*q - 252. Determine v(11). -21 Let p(v) = -113*v**3 - 3*v**2 - 68*v - 66. Determine p(-1). 112 Let...
{ "pile_set_name": "DM Mathematics" }
- y. Let d be (6/(-18))/(h/(-6)). Solve 3*q + 7 = -d for q. -3 Let p(b) = b**3 - 8*b**2 + 17*b - 14. Let m be p(6). Solve 0 = -3*s + 1 - m for s. -5 Suppose w + 2*m = -11, 4*w - m = -7 - 10. Let j(k) = -k**3 - 5*k**2 + 2. Let o be j(w). Suppose -o*q - 2 = -4*q. Solve -b + q = -4 for b. 5 Let u = 61 + -50. Let v(r) = r ...
{ "pile_set_name": "DM Mathematics" }
the second derivative of a**4/12 + 11*a**3/6 + 9*a**2/2 - 2696*a. What is h(-12)? 21 Let f(a) = a**2 - 2*a - 20. Let u(t) = t**2 + 76*t + 764. Let l be u(-12). Give f(l). 4 Suppose 723 + 724 = -15*g + 1402. Let f = -2 + 2. Let d(h) = -h**2 - 2*h + 4 - h**3 + f - 4*h**2. Determine d(g). -8 Let y(w) be the third derivati...
{ "pile_set_name": "DM Mathematics" }
109*d + 39 for d. -9 Solve -23*f + 42 = -337 + 11 for f. 16 Solve 554 + 721 = 369*q - 114*q for q. 5 Solve -245 = -67*u - 359 - 422 for u. -8 Solve 68*c - 144 = -336 - 148 for c. -5 Solve 373*u = -8*u + 58*u + 969 for u. 3 Solve 40203*o - 40146*o + 1197 = 0 for o. -21 Solve 46*h + 279646 = 279600 for h. -1 Solve 125 =...
{ "pile_set_name": "DM Mathematics" }
form b*k**2 + m*k + c*k**3 + j and give c. 9 Rearrange (-p - 2*p**2 + p)*(3 + 1 - 2) - 3*p**2 + 3*p**2 + p**2 - 1 + 2*p**2 + 6 + 2 to the form j + v*p + r*p**2 and give v. 0 Rearrange -24*n**3 - n**3 + 5 - 3 to q + l*n + j*n**3 + d*n**2 and give j. -25 Express -2 + 1 - 12*z + 12*z + 2*z**3 as n*z**3 + r*z**2 + c + w*z...
{ "pile_set_name": "DM Mathematics" }
- 49*i + 3 What is the i'th term of -39, -90, -141, -192, -243? -51*i + 12 What is the m'th term of -133, -146, -173, -220, -293, -398? -m**3 - m**2 - 3*m - 128 What is the r'th term of -16, -173, -444, -835, -1352, -2001, -2788, -3719? -r**3 - 51*r**2 + 3*r + 33 What is the g'th term of -747, -756, -767, -780? -g**2 -...
{ "pile_set_name": "DM Mathematics" }
l(s) = -s**2 - s. Let j be (1 + -2 - -1)/2. Let k be l(j). Let b be (-3 - k)/(2/(-6)). Calculate the highest common divisor of b and 9. 9 Let m(v) = v**3 + 9*v**2 + 9*v + 8. Let s be m(-8). Suppose -4*u + s*u = -44. Let t be (33/(-6))/((-1)/8). What is the greatest common divisor of t and u? 11 Suppose -g = -5*g + 572....
{ "pile_set_name": "DM Mathematics" }
47 and 26956? 6739 What is the greatest common factor of 7128 and 1886482224? 7128 Calculate the greatest common factor of 51 and 8090832. 3 Calculate the highest common divisor of 79345853 and 1115. 223 What is the highest common factor of 38 and 5280986? 2 What is the highest common divisor of 4672493224 and 266? 266...
{ "pile_set_name": "DM Mathematics" }
hout replacement from qyiiwliiiwiiiwaqiii? 11/171 What is prob of picking 2 m when two letters picked without replacement from {m: 8, p: 2}? 28/45 Calculate prob of picking 1 g and 1 y when two letters picked without replacement from gggyyggggggg. 10/33 Two letters picked without replacement from {h: 6, z: 6, a: 1, c: ...
{ "pile_set_name": "DM Mathematics" }
f(m) - 2*j(m). What is the second derivative of v(a) wrt a? -80*a**3 + 168*a**2 Let w(z) = z**2 - 13*z + 2. Let t be w(13). What is the first derivative of t*q**4 - 24 - 49*q + 49*q wrt q? 8*q**3 What is the third derivative of -25*y**6 - 22*y**6 - 62537*y**2 + 3*y**4 + 62368*y**2 wrt y? -5640*y**3 + 72*y Let u(k) = k*...
{ "pile_set_name": "DM Mathematics" }
954062? 6 What is the units digit of 137770? 0 What is the tens digit of 801418? 1 What is the units digit of 1334228? 8 What is the units digit of 55823? 3 What is the millions digit of 2995431? 2 What is the units digit of 2203458? 8 What is the tens digit of 1401615? 1 What is the millions digit of 1310417? 1 What ...
{ "pile_set_name": "DM Mathematics" }
Solve -9501 + 13949 = 278*w for w. 16 Solve 9*z - 99 = 32*z + 7*z - 549 for z. 15 Solve -6207751*h + 6208639*h = 81696 for h. 92 Solve 12*t - 19*t - t - 2835 = 37*t for t. -63 Solve -816718*w = -815563*w + 83160 for w. -72 Solve -9055*y - 13590*y = 2740045 for y. -121 Solve 0 = 104*q - 97*q - 189 for q. 27 Solve -477*...
{ "pile_set_name": "DM Mathematics" }
d 1924130? 722 What is the highest common divisor of 1197808 and 9872? 16 What is the greatest common factor of 889 and 69161279? 127 What is the highest common divisor of 42893180 and 7230? 2410 Calculate the greatest common factor of 437190 and 293208. 114 What is the greatest common factor of 224 and 7869152? 32 Wha...
{ "pile_set_name": "DM Mathematics" }
f u? False Let r(y) = y**3 - 6*y**2 - 5*y - 4. Let g be r(7). Suppose g*j + 139 = 19. Does 41 divide (-817)/(-4) + -2 + (-33)/j? True Suppose 3*l = 0, -4*f + 3*f - 5*l - 164 = 0. Suppose 5*m + 259 = 579*i - 580*i, 0 = i + 4. Let b = m - f. Is b a multiple of 6? False Suppose -7*x - 2*x + 162 = 0. Let h(c) = c**3 - 17*c...
{ "pile_set_name": "DM Mathematics" }
uppose 3*v = -6*n + g*n + 2, -4 = 2*v. Suppose n*m = -m. Solve m = -6*f + 2*f + 16 for f. 4 Let u = -9 + 19. Solve n - u = 6*n for n. -2 Let s be (-2 + (-110)/(-35))*(-14)/(-4). Solve s*p + 0 = -4 for p. -1 Let u(k) = k**3 + 7*k**2 - 7*k + 11. Let t be u(-8). Let s be (-1)/2*(-12)/t. Solve 0*q - s*q = -8 for q. 4 Suppo...
{ "pile_set_name": "DM Mathematics" }
he remainder when 6538 is divided by 117. 103 What is the remainder when 5195 is divided by 877? 810 What is the remainder when 113781 is divided by 24? 21 Calculate the remainder when 86846 is divided by 50. 46 Calculate the remainder when 28809 is divided by 127. 107 Calculate the remainder when 37942 is divided by 1...
{ "pile_set_name": "DM Mathematics" }
/5, f, t in descending order. 1/5, t, f Suppose 5*s = -0*s + 35. Suppose -4*c = 5*k + 10 + s, 4 = -c - k. Suppose 2*l + 0*l - 8 = 0. Sort c, 6, l in descending order. 6, l, c Let g = 2 + -2. Sort -1, -0.1, g. -1, -0.1, g Let y = 38 - 38.4. Sort 0.5, 1/6, -2, y in descending order. 0.5, 1/6, y, -2 Let c be 48/(-56) - (-...
{ "pile_set_name": "DM Mathematics" }
a composite number? False Let u(p) = 26*p**2 - 7*p + 13. Let k(a) be the second derivative of -a**3/3 - 19*a**2 + 23*a. Let y be k(-22). Is u(y) composite? False Suppose 0 = 6*j - 1580 - 46792. Let h be j/(-13) - 6/(-39). Let k = h + 1261. Is k composite? False Suppose 0 = -r + 5*i - 1, 3*r = 2*r - 4*i + 35. Let m(c) ...
{ "pile_set_name": "DM Mathematics" }
887545 prime? False Is 3182207243 prime? True Is 17118050315 a composite number? True Is 11581085921 a prime number? False Is 5216644859 a composite number? False Is 1701005279 composite? False Is 37458760289 a composite number? False Is 790841179189 composite? False Is 168920680547 prime? True Is 16614326507 a prime n...
{ "pile_set_name": "DM Mathematics" }
20*n for n. -25 Solve 34*r - 14*r + 36765 = 73*r + 334*r for r. 95 Solve -10*h + 7882 + 2675 = 381*h for h. 27 Solve -82*p + 69342 = 450*p + 1119*p for p. 42 Solve -753*g + 2418*g = -6833 + 2463 - 5620 for g. -6 Solve -5205*m = 5140*m - 10448*m - 9167 for m. -89 Solve -130*s - 203*s - 177*s = 16*s + 16832 for s. -32 S...
{ "pile_set_name": "DM Mathematics" }
e 10) to base 5. -11 106 (base 16) to base 3 100201 What is 2 (base 11) in base 6? 2 Convert 17 (base 15) to base 9. 24 Convert 2 (base 7) to base 2. 10 -7 (base 8) to base 10 -7 0 (base 13) to base 11 0 -71 (base 13) to base 9 -112 What is 30 (base 6) in base 13? 15 Convert 24 (base 8) to base 14. 16 What is 3 (base 1...
{ "pile_set_name": "DM Mathematics" }
*x = 4641. What is the highest common factor of 13 and x? 13 Let i(q) = 8*q**3 - 4*q**2 + 3*q. Let l be i(2). What is the highest common divisor of l and 378? 54 Let f = 147 - 105. Let h(o) = o**2 - 59*o + 226. Let w be h(4). Calculate the greatest common divisor of f and w. 6 Let n be 2/6 - (0 - (-1673)/(-3)). Calcula...
{ "pile_set_name": "DM Mathematics" }
. Give p*m(b) - 4*t(b). -2*b**3 Let x(b) = -13*b**2 - 12*b + 1. Let j(k) = -3*k**2 - 3*k. Determine -9*j(u) + 2*x(u). u**2 + 3*u + 2 Let d = -8 - -12. Let c(l) = -d - 1 + 6. Let i(p) = p + 5. What is -3*c(y) + i(y)? y + 2 Let s(z) = -3 + 1 + 2 + z - 1 + z**2. Let c(u) = -u**3 + 2*u**2 - u + 1. What is -c(g) - s(g)? g**...
{ "pile_set_name": "DM Mathematics" }
159 What is 391 minutes after 9:18 PM? 3:49 AM What is 328 minutes before 10:20 PM? 4:52 PM What is 456 minutes before 11:59 PM? 4:23 PM What is 322 minutes before 2:13 AM? 8:51 PM How many minutes are there between 4:39 PM and 3:46 AM? 667 What is 325 minutes before 2:55 AM? 9:30 PM How many minutes are there between ...
{ "pile_set_name": "DM Mathematics" }
7 composite? True Is 985909 prime? False Is 7817 composite? False Is 19181 a prime number? True Is 57935 a prime number? False Is 14681 a prime number? False Is 304477 composite? False Is 53717 prime? True Is 359599 a composite number? False Is 1583899 composite? False Is 9293 prime? True Is 41317 a prime number? False...
{ "pile_set_name": "DM Mathematics" }
Solve 4*s = t*s for s. 0 Suppose 17*v + 488 = 488. Solve v = 3*w - 4*w - 9*w for w. 0 Suppose -18*w - 25 = -19*w. Let m = -69 - -73. Solve -m*v + w = 9 for v. 4 Let j(o) = -2*o**2 + 7*o + 17. Let u = 286 + -281. Let s be j(u). Solve -2*n = s*n - 8 for n. 2 Let n(y) be the second derivative of y**5/10 - y**4/6 + y**3/2 ...
{ "pile_set_name": "DM Mathematics" }
-2 smaller than n? True Let d = -8.8 - -9. Let f = 5192/273 + -246/13. Which is greater: f or d? d Let o(p) = p**3 + 3*p**2 + 2*p. Let v be o(-2). Suppose w + 0 - 5 = v. Suppose -g = 3*h - 0*h - 1, h + 23 = -w*g. Which is greater: -4 or g? -4 Let p = 72 + -97. Are 0 and p nonequal? True Let a(h) = -h**3 - 2*h**2 + 5*h...
{ "pile_set_name": "DM Mathematics" }
32 a factor of 734182? False Does 51 divide 53091? True Is 1552122 a multiple of 603? True Is 86535 a multiple of 15? True Is 93 a factor of 85467? True Is 1506846 a multiple of 22? True Does 449 divide 6172781? False Does 18 divide 478815? False Does 20 divide 291920? True Is 11 a factor of 624382? True Is 349 a facto...
{ "pile_set_name": "DM Mathematics" }
suming l is positive. l**(-74/5) Simplify ((v/(v**5*v*v))**(-1/5))**(-11) assuming v is positive. v**(-66/5) Simplify (w*w**(1/3))**(1/6)/(((w/(w/(w/(w**0*w)*w)*w))/w)/w)**(3/4) assuming w is positive. w**(31/18) Simplify (u**(4/3)/u)**(-2/187) assuming u is positive. u**(-2/561) Simplify (g*g**(-1)*g)**(-49)/((g**(-2/...
{ "pile_set_name": "DM Mathematics" }
/(x/(x/(x**(-10/9)*x)*x)*x) assuming x is positive. x**(191/99) Simplify q**27/(q**(-2/11)/q) assuming q is positive. q**(310/11) Simplify ((d*d**(-7)*d*d)/(d/d**7))/(d**2/((d/d**8)/d)) assuming d is positive. d**(-8) Simplify (n/n**2)**(11/7)*((n**7/n)/n)/(n**(1/8)*n) assuming n is positive. n**(129/56) Simplify (r**(...
{ "pile_set_name": "DM Mathematics" }
t is the biggest value in 1063, -16, -66? 1063 Which is the fourth biggest value? (a) -2 (b) -1/31 (c) 0.4 (d) -1.1 (e) 5 d Which is the third biggest value? (a) 0.1 (b) 2130 (c) -2/7 (d) 1 a What is the second biggest value in -2/7, 116, -0.11, -3/2? -0.11 Which is the biggest value? (a) 2 (b) -0.4 (c) -0....
{ "pile_set_name": "DM Mathematics" }
at is the fourth biggest value in 0.09, v, -0.3, 4? -0.3 Let j = 2.8 + -2.3. Which is the second smallest value? (a) -2/7 (b) j (c) -2 a Suppose 0 = -4*p + 5*h - 8, 0 = -5*p - 5*h + 36 - 1. Let l = -2833/845 + -8/169. Let q = l - -61/15. Which is the second smallest value? (a) -0.2 (b) p (c) q c Let z(k) = 0*k + ...
{ "pile_set_name": "DM Mathematics" }
1872, 1927, 2012, 2133, 2296? 2507 What is next in 34, 73, 114, 157, 202, 249? 298 What is the next term in -25, -40, -57, -76, -97, -120, -145? -172 What is next in 147, 115, 31, -129, -389, -773, -1305, -2009? -2909 What is the next term in 118, 250, 418, 640, 934, 1318, 1810, 2428? 3190 What is the next term in 112...
{ "pile_set_name": "DM Mathematics" }
wenty-seven halves of a century? 1350 How many months are there in 8/15 of a millennium? 6400 What is 756239.3 weeks in microseconds? 457373528640000000 What is 2.797539mg in tonnes? 0.000000002797539 Convert 972461.2m to micrometers. 972461200000 Convert 425.729 kilograms to tonnes. 0.425729 Convert 9367.383 hours to ...
{ "pile_set_name": "DM Mathematics" }
371, 0.25, -56/11, -15 Sort -2, -4, 59, -6, -3, -9 in descending order. 59, -2, -3, -4, -6, -9 Put -5, -203, -2, 14, -4, -3, -285 in increasing order. -285, -203, -5, -4, -3, -2, 14 Put -2/17, 0, 19/6, -711, -4, 0.1 in decreasing order. 19/6, 0.1, 0, -2/17, -4, -711 Sort 5, -93975, -7 in ascending order. -93975, -7, 5 ...
{ "pile_set_name": "DM Mathematics" }
2 + v*b + z and give n. 6 Express (3 - 4 + 0)*(-b - 2 + 2) - 6*b - 12*b + 3*b + 4*b - 5*b + 2*b in the form d + h*b and give h. -13 Express (3 - 9 - 10)*(-2*n - 3*n + 3*n)*(-4*n - 6*n + 4*n) as k*n**2 + q*n + t and give t. 0 Express (3*u - 7*u - u)*(-4*u**2 + 0*u**2 + 3*u**2) - u**3 - 2*u**2 + 2*u**2 in the form q + j*...
{ "pile_set_name": "DM Mathematics" }
(6 - 8))) + 4. 1 Evaluate (0 - (9 + -1)) + 9. 1 Calculate (-5 - -2) + (-23 - -28) - (-1 + 0). 3 Calculate -18 - ((9 - 5) + -8 - 1). -13 Calculate 9 + -1 - 11 - -6 - (-9 - -2). 10 What is the value of 1 + -4 + (7 - (5 + 4))? -5 What is 7 - -8 - (-11 - (-7 + 0 + 0))? 19 What is (0 - 0) + (92 - 104)? -12 Calculate -7 + (1...
{ "pile_set_name": "DM Mathematics" }
7 + (4 - 1 - 2)*(-3 + 3 + 2) + 1 + 4 - 4 - 3 + 1 + 4) to s + v*d and give v. 132 Rearrange -16*k + k**2 + 16*k - 12*k + 2*k**2 to x + i*k**2 + q*k and give q. -12 Express (5*x - 4*x - 3*x - x - x + x + (-2 + 1 - 1)*(-5*x + x + 2*x) - 1 - 3*x + 1)*(14*x + 27*x - 6*x) in the form q*x**2 + o*x + t and give t. 0 Rearrange ...
{ "pile_set_name": "DM Mathematics" }
*k + 30 = -5*h. Sort -3, h, a in descending order. a, h, -3 Let o = -1.1 + 0.7. Let h = -16/33 + -61/33. Let t = h - -2. Sort o, 0.5, t in decreasing order. 0.5, t, o Let k = 0 + 0. Suppose -5 = 7*w + 30. Put k, -1, w in ascending order. w, -1, k Let c = 0.4 + 0. Let f = c + -0.7. Let z(o) = -o**2 - 8*o - 8. Let j be z...
{ "pile_set_name": "DM Mathematics" }
(k). 2*k**2 + 2*k + 2 Let q(y) = -23*y + 1. Let l(d) = -45*d + 2. What is -2*l(v) + 5*q(v)? -25*v + 1 Let f(o) = -4*o**2 - 3*o - 16. Let n(h) = 3*h**2 + 2*h + 16. Determine -2*f(m) - 3*n(m). -m**2 - 16 Let a(c) be the third derivative of -c**4/12 + c**3/3 + 2*c**2. Let z(v) = v + 0 + 0*v - 3*v**2 - 1 + 4*v**2. What is ...
{ "pile_set_name": "DM Mathematics" }
/(-18). What is the units digit of (-34)/z - 2/5? 3 Let g(n) = -n**3 - 4*n**2 - 3*n - 10. Let u be g(-4). Suppose -4*r = -5*a - 109, -u*r - 2*a + 50 = -0*a. What is the units digit of r? 6 Suppose 3*h + 73 = 2*t, 2*h - 165 = -5*t + 6*h. Let o = t + -16. What is the tens digit of o? 1 Suppose -5*n = -36 - 569. What is t...
{ "pile_set_name": "DM Mathematics" }
(b) -0.2 (c) -0.09 (d) 0.1 b What is the closest to -0.4 in 2/9, -2/9, 0.11? -2/9 Which is the nearest to 4/3? (a) 5 (b) 0.4 (c) 0.6 (d) -2 c What is the nearest to -7/4 in 0.2, 2/7, 4, 0? 0 What is the closest to -2/7 in 4, 0, -0.2, -0.02? -0.2 Which is the closest to -0.021? (a) -2/7 (b) -2 (c) -5 (d) 4 a...
{ "pile_set_name": "DM Mathematics" }
out replacement from nowooonlllnnoow. What is prob of picking 2 o? 1/7 Four letters picked without replacement from qqqyqyqyqyyyq. What is prob of picking 4 q? 7/143 What is prob of picking 2 i and 2 w when four letters picked without replacement from wwiiiiwwiiiwii? 360/1001 Two letters picked without replacement from...
{ "pile_set_name": "DM Mathematics" }
-23 (b) -8458 (c) 0 c Which is the smallest value? (a) 1/3 (b) 9542/191 (c) 5 a Which is the biggest value? (a) 291.9 (b) -1 (c) -4/13 a What is the sixth biggest value in 0.2, -158, 7, -2/17, 1/9, 1? -158 What is the fourth smallest value in 4/259, -2, -5, 5, 4, -36? 4/259 Which is the third biggest value? (...
{ "pile_set_name": "DM Mathematics" }
t value in u, 0.4, s? s Let k = 2.03 - 0.03. Let r = k - 1. Let y = 2 - -3. What is the smallest value in r, -3, y? -3 Let z = 0.02 - -0.01. Let s = -47 + 46.67. Let m = z + s. What is the second smallest value in m, 0.5, -1? m Let l = 3.1 - 0.1. Let d = l - 13. Let u = -6 - d. What is the third biggest value in u, 0, ...
{ "pile_set_name": "DM Mathematics" }
v**2 + 4 - 4. Calculate d(i(l)). -121*l**4 + 44*l**2 - 4 Let t(y) = -12*y. Let j(f) = -225906*f. Give t(j(p)). 2710872*p Let d(t) be the third derivative of t**5/12 + t**2 + 16. Let a(h) = 8*h. Give a(d(x)). 40*x**2 Let x(p) be the third derivative of -p**3/2 + 16*p**2. Let t(o) = -o - 8. Let k(j) = 3*t(j) - 8*x(j). Le...
{ "pile_set_name": "DM Mathematics" }
le of 888 and 326451. 2611608 What is the common denominator of -37/308 and -97/234332? 2577652 What is the common denominator of 72/36365 and 39/385? 400015 What is the common denominator of 31/978 and 61/5852352? 5852352 What is the lowest common multiple of 153 and 4903200? 83354400 What is the smallest common multi...
{ "pile_set_name": "DM Mathematics" }
- 4*p - 9*p**4 + 2*p**3 + 3*p**2 + p**4 - 3*p**2. -20*p**4 + 2*p**3 Expand (-4*b + 4*b - 2*b)*(-2 + 2 + 2*b) + 0*b**2 + 0*b**2 + b**2 - 4*b**2 + 3*b**2 - 3*b**2 - 17*b**2 + b**2 + 10*b**2 + (-2*b + 4*b - 3*b)*(5*b - 3*b - 3*b). -12*b**2 Expand (21*m + 15*m - 4*m)*(1 + m - 1)*(3*m + 2*m**3 - 3*m). 64*m**5 Expand (2*z**2...
{ "pile_set_name": "DM Mathematics" }
f a second in milliseconds? 3750 What is eighty-one halves of a tonne in kilograms? 40500 What is one tenth of a milligram in nanograms? 100000 Convert 229469.3 micrometers to millimeters. 229.4693 What is 30803.6 years in months? 369643.2 Convert 57.29658 weeks to milliseconds. 34652971584 What is 7.608228 days in min...
{ "pile_set_name": "DM Mathematics" }
. Suppose n = -4*j + j - 45. Let v = j - -46. Does 15 divide v? False Is 44 a factor of ((-91)/4)/(-2*2/16)? False Let r = -13 - 51. Let k be (-1 + 6)/(2/(-6)). Let h = k - r. Does 11 divide h? False Let c = 25 - 30. Suppose -33 + 5 = 2*y. Is 7 a factor of c/((-20)/y)*-6? True Is (-10)/(-20)*-2 + 449 a multiple of 8? T...
{ "pile_set_name": "DM Mathematics" }
11/5*t + 19/5*t**2 - n*t**3 = 0. What is t? 1/3, 1, 2 Factor -6/7*c + 36/7 + 2/7*c**3 - 8/7*c**2. 2*(c - 3)**2*(c + 2)/7 Let l(h) be the second derivative of -4/45*h**6 + 1/9*h**3 - 4*h + 11/30*h**5 + 1/3*h**2 + 0 - 1/2*h**4. Factor l(c). -2*(c - 1)**3*(4*c + 1)/3 Let j be 10/6 + (2 - 1). Let n(v) be the first derivat...
{ "pile_set_name": "DM Mathematics" }
*2 - 216*i + 1253. Give w(6). 101 Let v(l) = -115*l + 5762. Calculate v(40). 1162 Let r(h) = h**2 + 196*h + 3524. Give r(-35). -2111 Let o(h) = 69*h + 1095. Give o(-2). 957 Let h(d) = d**3 + 353*d**2 - 7531*d + 120773. Give h(-374). -29 Let g(z) = 16929*z - 84471. Give g(5). 174 Let p(l) = 1169*l + 200044. Give p(-171)...
{ "pile_set_name": "DM Mathematics" }
3. Is 11 a factor of o(0)? False Let g(u) = u + 6. Let o be g(-3). Suppose o*z - 82 + 34 = 3*i, -2*i - 70 = -4*z. Is 19 a factor of z? True Suppose z - 14 = -44. Is 5 a factor of (-45)/z - (-7)/2? True Let z(w) = 2*w**2 + 7*w - 4. Let l be z(-8). Does 17 divide ((-6)/4)/((-3)/l)? True Let w = 18 + -13. Suppose -y + 0 =...
{ "pile_set_name": "DM Mathematics" }
e? True Is 8622975061 composite? False Is 1343042957 composite? False Is 2800886471 prime? False Is 891557467 a prime number? False Is 36322738 composite? True Is 22591679243 a composite number? True Is 30668454329 a composite number? False Is 48850636013 composite? True Is 1459508403 a prime number? False Is 598951801...
{ "pile_set_name": "DM Mathematics" }
ate the smallest common multiple of q and b(-1). 225 What is the common denominator of -43/192 and 357/(-60) + ((-60)/25)/(-6)? 960 Let s(k) = -8*k + 118. Let x(h) = -5*h + 117. Let j(a) = -4*s(a) + 5*x(a). What is the lowest common multiple of j(-14) and 108? 540 Let q(y) = -y**3 - 4*y**2 + 2*y - 30. Let g be q(-6). S...
{ "pile_set_name": "DM Mathematics" }
16. Let k be z(3). Let b be -2*1/k - 211/(-5). Let a be (16/20)/(-4) - b/(-10). Solve 0 = h - a*h for h. 0 Suppose 0 = g - 5*n - 25, -25 = -3*g - 2*n + 7*n. Suppose -102 = -11*l + 5*l. Solve 5*y - l - 3 = g for y. 4 Let b(m) = m**3 + 2*m**2 + 54*m + 5. Let a be b(0). Solve -2*k - 13 = -a for k. -4 Let p be (38/16 + (-...
{ "pile_set_name": "DM Mathematics" }
rest 100000. 400000 Let s = -465410909.00000005 - -465410892. Let y = 17 + s. Round y to seven dps. -0.0000001 Let f = -79 + 78.57. Let l = -0.667 - f. Round l to 2 decimal places. -0.24 Let a = -366284 + 366281.48137. Let y = -2.52 - a. What is y rounded to 3 dps? -0.001 Let s = -307.243 - -307. What is s rounded to o...
{ "pile_set_name": "DM Mathematics" }
8 - 1) + (o - 3*o + 4*o)*(-3 + 5 - 4). 7*o Expand (-4*v**2 + 4*v**2 + v**2)*(-10*v + 2*v + 9*v) + (0 + 0 - 2*v**2)*(-2*v + 3*v + 0*v). -v**3 Expand (2 + 3 - 4)*(-5 + 3 - 6)*(s - 49*s - 9*s). 456*s Expand -n + 0*n + 2*n + (-3 + 4 - 2)*(2*n + n - n) - 16*n + 14*n - 16*n - 1 + 1 + 2*n. -17*n Expand -5 - 11*g + 5 + (0 + 0...
{ "pile_set_name": "DM Mathematics" }
)/(-21))/(-10). Calculate the highest common divisor of x and f. 4 Let o = 89 - 42. Let u = -5 + o. Calculate the highest common factor of u and 7. 7 Let g be 20*((-570)/(-25) - 8). Calculate the highest common divisor of 74 and g. 74 Let d(j) = -4*j + 50. Let a be d(5). Calculate the highest common divisor of a and 27...
{ "pile_set_name": "DM Mathematics" }
(-1 - 3/15). -3 What is 18*(24/18 + 5/(-3))? -6 (-136)/(-1326)*(6/4 + 0) 2/13 5*(156/15 - 10) 2 What is (-2)/1*(9 - 11)? 4 (0 + 2/40)*(-1000)/(-125) 2/5 -1 + (-2)/(9 + -8) -3 Calculate (96/240)/((-3)/(-45)). 6 Evaluate 27/(-5) + (-54)/(-135). -5 What is ((-5)/45)/((-2)/(-4))? -2/9 Calculate 484/(-66) + 1/3. -7 What is ...
{ "pile_set_name": "DM Mathematics" }
-4*t + t = i, 2*i + 5*t - 4 = k. Is 12 a factor of i? True Let g(j) = 25*j**2 - 6*j - 30. Is 19 a factor of g(-5)? False Let z = -120 + 152. Does 29 divide z? False Suppose -4*l + 745 + 859 = -3*n, 0 = 2*l + 5*n - 802. Is 2 a factor of l? False Let n = 76 - -118. Is n a multiple of 26? False Suppose -k + 4*v + 12 = 0,...
{ "pile_set_name": "DM Mathematics" }
2 + -5 + 2*sqrt(171))) + -1. -5*sqrt(19) + 2 Simplify -1 + (sqrt(968) + -1)**2 + ((-2*sqrt(90))/sqrt(9))/(-3*sqrt(45)). -394*sqrt(2)/9 + 968 Simplify ((sqrt(77) - (sqrt(77)*5*4 + sqrt(77) + sqrt(77)))/sqrt(7) + 4)*-5*2. -40 + 210*sqrt(11) Simplify (sqrt(1008) + -5*(sqrt(1008) - -3*sqrt(1008)) + (4 + sqrt(1008)*2 - sqrt...
{ "pile_set_name": "DM Mathematics" }
3 ((-18)/15)/(2*4/(-20)) 3 2*4/(-14)*112/(-160) 2/5 Calculate (-1*(-1)/(-3))/(50/(-60)). 2/5 What is ((-10)/(-45))/(-2)*-2? 2/9 Calculate 0/(1*6/3). 0 Calculate 10/(10/2)*2. 4 What is (-23)/(460/(-48))*5/2? 6 (-7)/1*(-3)/(63/12) 4 Calculate -1*3*4*(-9)/(-54). -2 What is (1*-1)/(16/(-64))? 4 What is 3/(-4)*7/21? -1/4 Wh...
{ "pile_set_name": "DM Mathematics" }
of 6697 and 3367? 37 What is the highest common factor of 1536 and 2018816? 512 What is the greatest common factor of 472 and 643572? 236 Calculate the greatest common factor of 6890 and 8203. 13 Calculate the greatest common factor of 48 and 61616. 16 What is the greatest common divisor of 973 and 273969? 139 What is...
{ "pile_set_name": "DM Mathematics" }
78 In base 6, what is 35044 - -153? 35241 In base 13, what is 4a0a2 - 1? 4a0a1 In base 12, what is 33 - -175b1? 17624 In base 14, what is -70c - 45c? -b6a In base 16, what is 102878 + -1? 102877 In base 12, what is 19554 + -3? 19551 In base 4, what is 122032232 + -3? 122032223 In base 7, what is -46011 - 12? -46023 In ...
{ "pile_set_name": "DM Mathematics" }
? False Does 12 divide 26996? False Is 1090 a multiple of 21? False Is 547 a multiple of 25? False Does 23 divide 1104? True Does 18 divide 1216? False Does 18 divide 2160? True Is 6393 a multiple of 11? False Is 31 a factor of 1240? True Does 64 divide 150? False Is 29 a factor of 812? True Does 21 divide 155? False I...
{ "pile_set_name": "DM Mathematics" }
146, 305, 476, 665, 878, 1121, 1400? 1721 What is next in -97, -71, -15, 83, 235? 453 What is the next term in -188, -187, -186, -185, -184, -183? -182 What comes next: 422, 843, 1264, 1685, 2106? 2527 What is the next term in 202, 406, 610, 814? 1018 What is next in 3, 11, 19, 27? 35 What is next in 1646, 6559, 14740,...
{ "pile_set_name": "DM Mathematics" }
is the hundreds digit of 17231314? 3 What is the hundreds digit of 17744514? 5 What is the tens digit of 1497032? 3 What is the units digit of 37283? 3 What is the tens digit of 17417033? 3 What is the hundreds digit of 830644? 6 What is the millions digit of 33648740? 3 What is the units digit of 216132? 2 What is the...
{ "pile_set_name": "DM Mathematics" }
- 5*a + 11. Let n be h(7). Solve -4*g - 20 = -4*i, g - n = -3*i + 6*g for i. 0 Suppose 1260 = -311*d + 316*d. Let v = -238 + d. Solve 2*k + 2 + v = -4*s, 5*s = -20 for k. 0 Suppose 4*a + 20 = 2*s, 125 = 4*s + a + 49. Solve -5*j = -17*r + 18*r - 19, 2*j = 6*r - s for j. 3 Let f = -5050 + 5056. Solve 0 = g - 3*h - 8, -g ...
{ "pile_set_name": "DM Mathematics" }
) = n**2 - 1. Let z be d(2). Suppose -3*k**z - 3 - 2*k - 3*k - 4*k - 9*k**2 = 0. What is k? -1 Suppose -10 = -5*s, 3*n = -n - 2*s + 4. Factor -3*z**2 + 1 + n*z**2 + 0 + 2*z + 4*z**2. (z + 1)**2 Let o(d) be the second derivative of d**7/294 + d**6/105 - d**4/42 - d**3/42 + 18*d. Factor o(w). w*(w - 1)*(w + 1)**3/7 Let p...
{ "pile_set_name": "DM Mathematics" }
Let c = 17/96 - 1/96. What is the closest to c in 0.2, -3/4, 0.4, 2? 0.2 Let p = -2.7175 - 0.2825. Let s = 10 + -15. Which is the closest to -1/3? (a) p (b) 3 (c) s a Suppose -2*m = 2*z - 12, 6*m + 2*z = m + 18. Suppose -3*g + 0*g - 3 = 0. Which is the nearest to g? (a) 0 (b) m (c) -0.3 c Let t = -4318 - -4318.06...
{ "pile_set_name": "DM Mathematics" }
ch is the fourth biggest value? (a) -0.4 (b) 1/2 (c) 0.001 (d) 24/7 (e) 8 c What is the fifth smallest value in 4, 700, -5, -0.5, 306, 2/7? 306 What is the biggest value in -2.1, 3, -3/2, -234612? 3 What is the smallest value in -4, 4/17, 7704, 3? -4 Which is the second smallest value? (a) -0.15 (b) 4/7 (c) 726...
{ "pile_set_name": "DM Mathematics" }
*j - 2/5*w = 0. What is w? -1, 0 Let q(y) be the third derivative of -y**8/6720 + y**6/1440 + y**3/2 - 3*y**2. Let z(w) be the first derivative of q(w). What is u in z(u) = 0? -1, 0, 1 Suppose 9/4*u**3 + 0*u + 0 + 3/4*u**5 + 27/4*u**2 - 15/4*u**4 = 0. What is u? -1, 0, 3 Let v(y) be the first derivative of -5*y**4/4 + ...
{ "pile_set_name": "DM Mathematics" }
(h) = 2*h + 9. Let l be p(-7). Let d(g) = -40*g + 47 - 50 + 28*g - 2*g**2. Let v be d(l). Give s(v). -4 Let i be ((-16524)/(-648))/(6/4). Let t(s) be the second derivative of -1/6*s**3 - i*s + 0 + 3*s**2. Determine t(-5). 11 Let y(t) = -25*t - 2. Let p(r) = -2*r**3 + 78*r**2 - 79*r + 115. Let w be p(38). Determine y(w)...
{ "pile_set_name": "DM Mathematics" }
lilitres? 3602.92 How many millilitres are there in 73/4 of a litre? 18250 How many grams are there in one twentieth of a tonne? 50000 What is 3/8 of a millisecond in microseconds? 375 How many micrograms are there in eleven quarters of a milligram? 2750 What is nine tenths of a hour in minutes? 54 What is three eighth...
{ "pile_set_name": "DM Mathematics" }
es 8? -17.064 What is -7 times -3.4? 23.8 -0.1*-38.8 3.88 What is the product of -483 and 0.06? -28.98 What is the product of 259 and -0.5? -129.5 Multiply 1 and -1.876. -1.876 -2*-143.2 286.4 What is the product of -1814 and -0.4? 725.6 Work out 0.02 * 8.37. 0.1674 Product of 3 and 0.0499. 0.1497 -47.6*0.2 -9.52 -5*-0...
{ "pile_set_name": "DM Mathematics" }
et d(n) be the second derivative of -n**7/420 + n**6/120 + n**3/2 - n. Let g(h) be the second derivative of d(h). What is the third derivative of g(r) wrt r? -12 Let i(b) be the second derivative of 0*b**5 + 0*b**3 + 0 - 5/2*b**2 - 2/15*b**6 + 6*b + 0*b**4. What is the first derivative of i(y) wrt y? -16*y**3 Suppose 0...
{ "pile_set_name": "DM Mathematics" }
6. Let l = g - o. What is the tens digit of l? 4 What is the units digit of (-7)/56 - 116616/(-64)? 2 Suppose 2*i + b = 2*b + 691, 2*i + b - 697 = 0. What is the tens digit of i? 4 Let h = 14 + -19. Let o = -6 - h. What is the units digit of 51/12*o*-4? 7 Let c = -1063 + 2337. What is the thousands digit of c? 1 Suppos...
{ "pile_set_name": "DM Mathematics" }
4762*l**3*m - 3*l**2*m - 778*l*m - 5*m - 1 wrt l. 28572*l*m - 6*m Find the second derivative of -34902*h**4*x**3 - 2*h*x**3 + h*x**2 + 307*h*x + 8*x**3 wrt h. -418824*h**2*x**3 What is the second derivative of -7*s**3*u + 9*s**2*u**2 - 52*s**2*z**2 + 16*s*u**2*z - s*u**2 - 3*u**2*z**2 - u**2 - 2*u*z**2 wrt s? -42*s*u +...
{ "pile_set_name": "DM Mathematics" }
2*z**2 - 2*z. Let a(l) = k*w(l) + v*o(l). Determine a(-3). -12 Let o(g) = -2*g + 3*g + 0*g - 2. Let k be (12/14)/(((-5871)/266)/(-103)). Determine o(k). 2 Let c(v) = -3*v**2 + v - 5. Let y(d) = d**3 + 38*d**2 - 166*d + 82. Let w be y(-42). What is c(w)? -19 Let h(n) = 1 + 2*n - 2 + 0*n**2 - 2 + 5*n**2 - n**3. Let r be...
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 p and 1 e? 4/57 Two letters picked without replacement from qtdqdqdqdrqtrqrqqq. Give prob of picking 1 r and 1 q. 3/17 Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {z: 13, j: 3}. 13/40 What is prob of picking 3 v and 1 o when four letters picked witho...
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from bxbbd. What is prob of sequence bb? 3/10 Two letters picked without replacement from {h: 9, v: 3}. Give prob of sequence hh. 6/11 Calculate prob of sequence jv when two letters picked without replacement from vjvjuuvttvbub. 2/39 Calculate prob of sequence bppy when four letters picked ...
{ "pile_set_name": "DM Mathematics" }
)/((-2*sqrt(98) - sqrt(98))*-1). 2*sqrt(17)/7 Simplify (5 + 2*sqrt(13))**2*1 - 3*((-2 + sqrt(13))**2*-6 + sqrt(13)). -55*sqrt(13) + 383 Simplify (1*(sqrt(187) + -1*sqrt(187) - sqrt(187)) - sqrt(187))/(sqrt(891)*1)*3. -2*sqrt(17)/3 Simplify 5*(-2*sqrt(605) + -5 - (-4*(2 + sqrt(605)))**2)*6. -292470 - 21780*sqrt(5) Simpl...
{ "pile_set_name": "DM Mathematics" }
term of 24735, 24736, 24747, 24774, 24823, 24900, 25011? r**3 - r**2 - 3*r + 24738 What is the c'th term of -12, -26, -40, -54, -68? -14*c + 2 What is the h'th term of 29, 172, 419, 776, 1249, 1844, 2567, 3424? h**3 + 46*h**2 - 2*h - 16 What is the x'th term of 35, 15, -7, -25, -33, -25, 5, 63? x**3 - 7*x**2 - 6*x + 4...
{ "pile_set_name": "DM Mathematics" }
mainder when 37108 is divided by 17. 14 What is the remainder when 28 is divided by 12? 4 What is the remainder when 1736 is divided by 864? 8 What is the remainder when 801 is divided by 37? 24 What is the remainder when 136 is divided by 35? 31 What is the remainder when 386 is divided by 61? 20 What is the remainder...
{ "pile_set_name": "DM Mathematics" }