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is the nearest to i in -0.3, -25, -0.4? -0.4 Let f = 18.96 - -0.04. Let c be 18/(-16) - ((-31)/(-8) + 14 + -18). What is the closest to f in -2, c, 0? 0 Let j = -266 + 262. Let u = -2.994 - 0.006. What is the nearest to 2/13 in 11, u, 0.4, j? 0.4 Let u = 115 + -110.21. Let w = u - 4.39. Which is the closest to -1? (a)...
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to 0.1? (a) l (b) -0.4 (c) -0.2 c Suppose 2 = -5*w - 3. Let f be (-4)/10 + 6/40. Suppose 2*t + 35 = 41. What is the closest to w in f, 4, t? f Let l = 0.11 - 0.21. What is the nearest to -0.1 in 0.1, l, 0? l Let o be (6/28)/(4/14). Let u = 0.02 + 0.38. Let r = u + -0.8. Which is the nearest to -1/2...
{ "pile_set_name": "DM Mathematics" }
**2 - 20*j + 2 Let q(n) = -6*n**2 - 14*n - 14. Suppose -a - 2*t = -16, -5*a = -2*t - 5 - 27. Let z(j) = -16 - 9*j + 15 - 4*j**2 - 8. Give a*z(i) - 5*q(i). -2*i**2 - 2*i - 2 Let u(m) be the second derivative of m**3/6 + m**2/2 - 521*m. Let l(f) = 6*f**2 - 15*f - 15. Determine 2*l(v) + 30*u(v). 12*v**2 Let o(g) = 507*g -...
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from {x: 2, c: 1, j: 7, n: 2, s: 4}. Give prob of sequence jxc. 1/240 Four letters picked without replacement from juuxeueexuyyuuxuyx. What is prob of sequence xjuu? 7/3060 What is prob of sequence ys when two letters picked without replacement from {s: 3, p: 6, b: 3, y: 5}? 15/272 Wha...
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = 3*g + 14 - 5. Let d be (-1)/g + (-3)/63. What is the closest to d in p, -2, -3/4? p Let r be (-3)/4 - 22/(-8). Let s be (-9)/12*-4 - -2. Which is the closest to r? (a) 1 (b) s (c) 1/4 a Let g = 0 + 1. Let i = -8.78 - -9.08. What is the nearest to g in i, 0.5, -3? 0.5 Let m = -21 - -19. Let k = m + 1.8. ...
{ "pile_set_name": "DM Mathematics" }
test common divisor of 711 and 261. 9 What is the greatest common factor of 12 and 484? 4 Calculate the highest common divisor of 20 and 320. 20 Calculate the highest common divisor of 4 and 2. 2 Calculate the highest common divisor of 5069 and 185. 37 What is the highest common factor of 40 and 340? 20 Calculate the g...
{ "pile_set_name": "DM Mathematics" }
qrt(486)). sqrt(5)/9 Simplify ((5 + ((2*sqrt(133) + sqrt(133))*-2)/sqrt(7))*5)**2*2 + 0. -3000*sqrt(19) + 35450 Simplify (2*(4*(sqrt(156)*1 + sqrt(156)))/(sqrt(48)/sqrt(4)*-1))**2. 3328 Simplify ((sqrt(405)*-3)**2 + -3)*2*6. 43704 Simplify (1*(-1*sqrt(343) + sqrt(343)) + -2 - (1 + -2 + 3*sqrt(343)))**2. 42*sqrt(7) + 30...
{ "pile_set_name": "DM Mathematics" }
hat is 334859.5 tonnes in kilograms? 334859500 How many years are there in three tenths of a century? 30 What is 6966.99ns in hours? 0.000000001935275 What is 628356.9 decades in years? 6283569 How many centuries are there in 90.754 years? 0.90754 What is 41/2 of a microgram in nanograms? 20500 What is 62.59021ug in ki...
{ "pile_set_name": "DM Mathematics" }
o: 1}. 1/210 What is prob of sequence fxk when three letters picked without replacement from ufcxiuk? 1/210 Four letters picked without replacement from {c: 7, v: 1, a: 1, l: 2, t: 4, m: 5}. What is prob of sequence tmvt? 1/1938 Calculate prob of sequence wfw when three letters picked without replacement from ffffwwwew...
{ "pile_set_name": "DM Mathematics" }
r of 13820 and 580. 20 Calculate the greatest common divisor of 2430 and 21735. 135 Calculate the greatest common factor of 1099284 and 2424. 1212 Calculate the highest common factor of 1441041 and 147. 147 What is the greatest common divisor of 18 and 255222? 18 Calculate the highest common factor of 3354 and 602. 86 ...
{ "pile_set_name": "DM Mathematics" }
3, r, 0.5, -1? 2/3 Let z = -17 + 8. Let k = z - -12. Let q be 7/2 - (1 + 1). What is the smallest value in q, 3/7, k? 3/7 Let x = -59 - -57. What is the smallest value in 7, x, 0? x Let d(j) = 3*j - 6*j + j - 7. Let o be d(-6). Let v = -14.3 - -14. Which is the third smallest value? (a) 3 (b) o (c) v b Let z = 0.9 -...
{ "pile_set_name": "DM Mathematics" }
*m + 2573*m = -319 for m. -11 Solve 69*h - 320 + 182 = 0 for h. 2 Solve 345 = 72*w + 67 + 1286 for w. -14 Solve 41*i + 6 + 275 + 88 = 0 for i. -9 Solve -9*t + 2367 - 2268 = 0 for t. 11 Solve 578*s = -787 - 21177 for s. -38 Solve 2*x = 26*x for x. 0 Solve 58*f - 19*f + 2288 = -104*f for f. -16 Solve -2*u - 3*u + 132 = 3...
{ "pile_set_name": "DM Mathematics" }
(16). Suppose i*t - 9320 = 166*t. What is the units digit of t? 2 Let x(f) = f + 135. Let l be (-44)/(-110) - 112/5. What is the units digit of x(l)? 3 Suppose 138*z = 136*z + 8. Suppose -3083 = -5*i + 2*d, -z*d = -9*i + 10*i - 621. What is the hundreds digit of i? 6 Suppose -3*g + 62 = -7*g + 2*y, y - 63 = 4*g. What i...
{ "pile_set_name": "DM Mathematics" }
21 Solve -5*d + 30 = -p, -9*d - 13*d + 70 = -p - 2*d - 7*d for p. -5 Solve 5*w = -2*i + 72, 3*w = -226*i + 225*i + 43 for w. 14 Solve 5*o + 77 = 5*g + 7, -16*o + 7*o - 4*g = -8*o + 19 for o. -15 Solve 0*m = 3*m + 4*n + 5 + 15, -251*n + 257*n = 3*m - 60 for m. 4 Solve 5*c - 7*c + 4*c - 5*j + 39 = 0, 261*c - 3*j + 6*j - ...
{ "pile_set_name": "DM Mathematics" }
r? True Let l = 1512 + -1066. Is l prime? False Let c = -85 - -144. Is c composite? False Suppose 2*o - 36 = -314. Let q = o + 350. Is q a prime number? True Let d = 39 - -12. Is d composite? True Let w(k) = 26*k + 10. Let g be w(8). Let p = g + -121. Is p a composite number? False Suppose -3*k + 2*k + 2*c + 4 = 0, -c ...
{ "pile_set_name": "DM Mathematics" }
by 5. 3 Let r(s) = -s**3 + 12*s**2 - 12*s - 2. Let a be r(11). Let o = a + 15. What is the remainder when 6 is divided by o? 0 Let z be (1 + 3/(-2))*-12. Suppose -2*t + 4*g + 18 = 0, -2*t - g + z*g + 17 = 0. Let f = 28 - t. Calculate the remainder when f is divided by 6. 5 Suppose -4*g + 28 = -c, 3*g - c = -0*c + 21. ...
{ "pile_set_name": "DM Mathematics" }
50*m**3 - 50*m**3 + (-3*m**2 + 2*m**2 - m**2)*(3 - m - 3) - 83*m + 19*m**3 + 83*m - 2*m**3 + 2*m**3 + m**3 + 2*m + m**3 - 2*m. -20*m**3 Expand (c - 6*c + 3*c + (2 + 2 - 3)*(72*c - 62*c - 95*c) - 4*c + 0*c + 5*c)*(-1 + 4 - 4). 86*c Expand (-4 + 1 + 4)*(0*r**3 - r**3 + 0*r**3) + 0*r**3 - r**3 - r**3 + 14878*r**3 - 4789*...
{ "pile_set_name": "DM Mathematics" }
+ 2259950*v - 1506632. -(v - 753316)*(3*v - 2) Find u such that -423*u**3 + 489408*u**2 + 983985*u + 6954 = 0. -2, -1/141, 1159 What is k in k**5/3 + 6643*k**4/3 + 602777*k**3/3 + 556289*k**2/3 - 1192282*k = 0? -6551, -91, -3, 0, 2 Let -2*s**2 + 43114*s - 19450512 = 0. What is s? 461, 21096 Find p such that 5*p**4/3 +...
{ "pile_set_name": "DM Mathematics" }
-10. Does 3 divide -4 - -17 - x/2? True Is 30 a factor of ((-552)/(-10))/(-12*6/(-240))? False Suppose 0 = 3*l - 84 - 96. Is l a multiple of 18? False Let d = 43 - -81. Is 19 a factor of d? False Suppose -s - 8 = -2*s. Let f(r) be the second derivative of -r**5/20 + 2*r**4/3 + r**3/3 + 3*r**2 - r. Is 11 a factor of f(s...
{ "pile_set_name": "DM Mathematics" }
? 9 What is 520 minutes before 6:43 AM? 10:03 PM What is 237 minutes after 12:18 AM? 4:15 AM What is 667 minutes before 12:53 AM? 1:46 PM How many minutes are there between 7:47 PM and 6:30 AM? 643 What is 429 minutes after 3:51 AM? 11:00 AM What is 52 minutes before 11:40 AM? 10:48 AM What is 207 minutes after 8:30 PM...
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of 148851? 5 What is the tens digit of 504940? 4 What is the tens digit of 10682335? 3 What is the units digit of 5519316? 6 What is the tens digit of 418649? 4 What is the ten thousands digit of 176903? 7 What is the ten thousands digit of 656998? 5 What is the units digit of 504584? 4 What is t...
{ "pile_set_name": "DM Mathematics" }
r*h and give r. -8 Rearrange (0 - 3 + 0)*(3*a + 0*a + 0*a) + a - 5*a - 9*a - 2*a - 2 + 2 - a - 2*a + 5*a + 1 to m*a + l and give l. 1 Express -10 + v**3 + 0*v - 125*v**2 - 2*v + 127*v**2 - 2*v**4 in the form g*v + b*v**2 + z*v**3 + j*v**4 + f and give b. 2 Rearrange -1577*s + 795*s + 821*s to j*s + u and give j. 39 Rea...
{ "pile_set_name": "DM Mathematics" }
rt(27))*-2)/(sqrt(45)/sqrt(5)*-5)). 95*sqrt(19)/48 Simplify (((-1*sqrt(80) + sqrt(80))/sqrt(2))/(sqrt(162)*2))/(((sqrt(240)*2)/sqrt(10))/(sqrt(6) + 2*sqrt(384) + sqrt(384))). 0 Simplify ((sqrt(130)*1*-4 + -3*(sqrt(130)*1 - sqrt(130) - sqrt(130)))*-1)/(-1*2*2*sqrt(10)*-6) + -3. -3 + sqrt(13)/24 Simplify 6*(-3*1*(sqrt(19...
{ "pile_set_name": "DM Mathematics" }
+ s**3 + 2*s**3). 1398*s**5 Expand 21 - 21 - 7*o - 2*o + 0*o + o + (-4 + 1 + 2)*(2*o - o - 3*o). -6*o Expand -2 + 2 + j**2 + (1 + 2 - 1)*(-5*j**2 + 2*j**2 + j**2) + 2*j**2 - 3*j**2 + 0*j**2 - 7*j**2 + 3*j**2 + 2*j**2 + 5*j**2 + 1 - 3 - 27*j**2. -28*j**2 - 2 Expand (-2*j**2 - 2*j**2 + 6*j**2)*(-j + j + j) + (-j + 3*j - ...
{ "pile_set_name": "DM Mathematics" }
False Does 128 divide 157952? True Is 253175 a multiple of 41? True Does 155 divide 4572065? False Is 6 a factor of 26139? False Is 94 a factor of 443868? True Is 2274 a factor of 22855809? False Does 11 divide 2977271? True Is 7 a factor of 254732? False Is 717381 a multiple of 7? True Does 19 divide 38551? True Is 10...
{ "pile_set_name": "DM Mathematics" }
et f = -1175.9 - -1250. Is f less than 2/3? False Suppose -2*q + 57 = -249. Is 151 smaller than q? True Let f = 33.19 - 33. Let c = -0.39 + f. Let y = 0.1 + c. Is y at least as big as 1.5? False Suppose -4*l - 16 = 4*f - 4, 0 = -2*f + 2*l + 6. Is f at least 353? False Let p = -35 - -16. Let b be (-4)/10*(-5)/p. Is 0 le...
{ "pile_set_name": "DM Mathematics" }
2 - 7*q + 2. Let u = -1 + 46. Let m be (u/(-15))/((-2)/(-10)*-3). What is the remainder when 32 is divided by o(m)? 15 Calculate the remainder when -11 + 202/18 + (-5)/((-180)/232624) is divided by 15. 12 Suppose -14*b = -9*b - 20. What is the remainder when (-1)/(-4)*(-52)/(-13) is divided by b + (-10)/5 - 1? 0 Let t(...
{ "pile_set_name": "DM Mathematics" }
rivative of 52*u**7/7 - 2*u**3/3 - 27*u**2/2 + 165. Find the third derivative of z(o) wrt o. 6240*o**3 Let a(c) be the third derivative of c**6/60 - 5*c**4/8 + 7*c**3/6 + 3*c**2 + 5. Find the first derivative of a(y) wrt y. 6*y**2 - 15 Let x(w) be the third derivative of -1/210*w**7 + 0 + 1/12*w**4 + 0*w**5 - 55/6*w**3...
{ "pile_set_name": "DM Mathematics" }
513*b**2. Let z(r) = 85*r + 6. Let s(q) = -241*q - 17. Let p(u) = -6*s(u) - 17*z(u). Calculate p(w(l)). -2513*l**2 Let j(p) = -3*p**2. Suppose 3*m - 266 = k, 0*m - 2*k = -4*m + 354. Let f(a) = m + 86 - 175 + 9*a. Calculate f(j(w)). -27*w**2 Let l(h) be the third derivative of h**4/12 - 1388*h**2. Let n(q) = 7083*q**2 -...
{ "pile_set_name": "DM Mathematics" }
1126, 0 Sort -2/9, 0, -17/6, 2782 in decreasing order. 2782, 0, -2/9, -17/6 Put -28, 714, -31 in descending order. 714, -28, -31 Sort -20241, 641, -3. -20241, -3, 641 Put 1886549, 6, -4 in increasing order. -4, 6, 1886549 Put -3, 4, 9421, 2 in decreasing order. 9421, 4, 2, -3 Sort -52, 3, 1, -3, -108, 0, -4 in descendi...
{ "pile_set_name": "DM Mathematics" }
s = 11 + z. What is the units digit of s? 2 Let r(z) = 162*z**2 - z + 1. What is the units digit of r(1)? 2 Let q = 2 + 0. Suppose 45 = -m - q*m. Let d = -7 - m. What is the units digit of d? 8 Suppose 4*n - 8 = -0*n. Suppose -31 = -n*z + 9. What is the tens digit of z? 2 Let s = 370 + -227. What is the hundreds digit...
{ "pile_set_name": "DM Mathematics" }
- 0. What is the highest common divisor of c and p? 2 Let b = 64 + -34. Suppose 7*f - 3458 = -581. Let l = -141 + f. Calculate the highest common divisor of l and b. 30 Let k = -410 + 600. Let d(o) be the second derivative of o**3/3 + 49*o**2/2 - 28*o. Let r be d(-15). What is the greatest common factor of r and k? 19...
{ "pile_set_name": "DM Mathematics" }
z**3/3 + 3*z**2 + z. What is the remainder when 52 is divided by b(-6)? 16 Suppose 75 = 6*k - 15. What is the remainder when 57 is divided by k? 12 Suppose 6 - 27 = -3*r. Let g(x) = 6*x. What is the remainder when g(r) is divided by 11? 9 Let o(u) = -4*u + 2*u + 5*u - u - 6 + 2*u**2. What is the remainder when o(-4) i...
{ "pile_set_name": "DM Mathematics" }
2591610? 2591607 In base 5, what is -1120143 + 4302? -1110341 In base 4, what is -311321020231 - -1? -311321020230 In base 7, what is 11 - -25031500? 25031511 In base 6, what is -2 + 1432404503? 1432404501 In base 7, what is 10661533415 + 2? 10661533420 In base 12, what is -2a36405b - 3? -2a364062 In base 7, what is -2...
{ "pile_set_name": "DM Mathematics" }
greater: q or h? h Let t = -124/585 - 2/195. Do -1 and t have different values? True Let d = -41.01 - -41. Let w(a) = a**3 + 3*a**2 - a - 3. Let k be w(-3). Which is smaller: d or k? d Let s = -5 + 4. Let n = 0.06 - 2.06. Let f = n + 4. Is f != s? True Let c be (2/15)/(9/(-432)). Let u = c - -6. Which is smaller: u or ...
{ "pile_set_name": "DM Mathematics" }
(5 + -1) - -269. Calculate the common denominator of (58/(-6))/(2*-1) and 98/o - ((-1026)/(-90) - 11). 54 Let j be (-12*4/28)/((-1)/49). Find the common denominator of 1400/j*6/112 and 61/77. 308 Let c be 571 + (-6 - -1) - 6. Suppose -28*r = -48*r + c. What is the smallest common multiple of r and 3? 84 Let k = 11 + -...
{ "pile_set_name": "DM Mathematics" }
ist the prime factors of j. 157 Let b(y) = -3455*y**3 - 2*y**2 - y + 1. List the prime factors of b(-1). 5, 691 Let s be 76*(15/(-45) - 51/(-18)). What are the prime factors of 224220/s - 0 - 4/38? 2, 5, 59 Let q = 4193 + 16743. What are the prime factors of q? 2, 2617 Let d(v) = -360 + 78*v - 365 + 1069 - 389. List th...
{ "pile_set_name": "DM Mathematics" }
icked without replacement from yykkkkvyk. Give prob of sequence kyk. 5/42 Calculate prob of sequence gbuu when four letters picked without replacement from dsbdudsudsgbdgggbu. 1/1020 Calculate prob of sequence xx when two letters picked without replacement from xvxvvv. 1/15 Four letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
Let y(k) = -k**2 + 62*k - 56. Let g(i) = 1240*i. Give y(g(t)). -1537600*t**2 + 76880*t - 56 Let j(o) = 14*o. Let s(t) = 1341327*t**2. What is s(j(y))? 262900092*y**2 Let a(k) = 7*k**2 - 6*k**2 - 5*k**2. Let q(y) = 35*y**2 + 80 - 80. Determine q(a(h)). 560*h**4 Let p(k) = -3. Let v(s) = -s + 1. Let h(x) = -p(x) - 3*v(x...
{ "pile_set_name": "DM Mathematics" }
. Which is the second smallest value? (a) h (b) o (c) -1/2 c Let w = 346 - 346.07. Which is the second biggest value? (a) 3 (b) -0.04 (c) w (d) -0.1 b Let t = -47 - -48.3. Let l = 1.3 - t. Let o = 3 + -8. Which is the biggest value? (a) 2 (b) l (c) o a Let a = 1566787 - 10937592/7. Let o = 4267 - a. Let n = 1...
{ "pile_set_name": "DM Mathematics" }
2459070? False Is 29068730 a multiple of 2942? False Does 22 divide 7137645? False Is 67 a factor of 119562? False Is 738 a factor of 304749? False Does 45 divide 77938? False Is 53983 a multiple of 374? False Is 196749 a multiple of 13? False Is 1171 a factor of 3623074? True Does 723 divide 6357339? True Is 301 a fac...
{ "pile_set_name": "DM Mathematics" }
e least common multiple of d(-5) and 8? 136 Let w(k) = -k**3 + k**2 + 48. Let q(i) = i + 3. Let m be q(-3). Let y be w(m). Find the common denominator of -93/16 and (-213)/y - 3/(-6). 16 Let v(f) = f**2 - 6*f - 7. Let b be v(7). Suppose b = -10*r + 5*r + 30. Suppose 3*k = 4*p - 2*p - r, 3*k = 6. What is the lowest comm...
{ "pile_set_name": "DM Mathematics" }
Find the second derivative of 1327*p + 408*p - 51*p**5 - 53*p**3 - 52*p**3 - 50*p**3 + 156*p**3 wrt p. -1020*p**3 + 6*p Let x(w) be the first derivative of -w**8/7 - 95*w**4/12 - 33*w + 42. Let r(c) be the first derivative of x(c). What is the third derivative of r(i) wrt i? -960*i**3 Let p = 149 + -147. Find the seco...
{ "pile_set_name": "DM Mathematics" }
2}. Give prob of sequence ggd. 1/660 Two letters picked without replacement from {p: 1, e: 2, w: 1, s: 1}. Give prob of sequence pw. 1/20 What is prob of sequence hccc when four letters picked without replacement from tcttqvcvqhcqhv? 1/2002 Calculate prob of sequence llll when four letters picked without replacement fr...
{ "pile_set_name": "DM Mathematics" }
80)/(-672) + (-6)/14). What is a*s(m) + y*g(m)? -3*m**2 + 1 Let s(f) = -279*f. Let w(a) be the third derivative of -5*a**4/3 + 2*a**2 + 10819*a. Determine -4*s(t) + 27*w(t). 36*t Let d(h) = -h**2 + 2*h + 4. Let s(o) be the second derivative of o**4/6 - 2*o**3/3 - 7*o**2/2 + 6*o + 331. What is -5*d(v) - 2*s(v)? v**2 - 2...
{ "pile_set_name": "DM Mathematics" }
k**2 + k + 2. Calculate i*f(n) + 4*x(n). 2*n**3 + n + 2 Let u(d) = -6*d**2 + 7*d + 7. Suppose -2 = t + 11. Let b(m) = 11*m**2 - 12. Let q(g) = -23*g**2 - g + 25. Let n(r) = t*b(r) - 6*q(r). Calculate 7*n(h) - 6*u(h). h**2 Let h(d) = -2*d + 1. Let n(t) = 5*t - 2. Determine 7*h(v) + 3*n(v). v + 1 Let h(r) = 6*r**2 + r - ...
{ "pile_set_name": "DM Mathematics" }
*i = -2 + 26, i + c = 0 for p. -3 Suppose -p = 3*q - 67 - 38, q = -3. Let r = 117 - p. Solve -y - f + r = 0, 0 = -0*y - 3*y + 2*f - 6 for y. 0 Let z(q) = 2*q**2 + 12*q + 4. Let y be z(-4). Let h be (-7 - y) + (0 - 1). Solve f - 24 = -5*a, h*a = 2*f + 16 + 6 for f. -1 Let b = 146 - 142. Let m be 1/((-3 - 1)/(-8)). Let y...
{ "pile_set_name": "DM Mathematics" }
2*p + 42. Let y(k) = 7*i(k) + 6*x(k). Let h be y(1). What is the biggest value in 5, h, 0? 5 Let f = -6 + 4. Let m = -1.98 - f. Let v be 12/21 - (-3834)/(-756) - (-34)/4. What is the third smallest value in m, v, -2? v Let u = -57 - -55. Let o = 23371/7 + -3339. What is the smallest value in -5, o, u? -5 Let g be 3*-2 ...
{ "pile_set_name": "DM Mathematics" }
:18 AM? 274 How many minutes are there between 4:33 PM and 11:43 PM? 430 How many minutes are there between 12:29 PM and 5:22 PM? 293 How many minutes are there between 8:48 AM and 6:33 PM? 585 What is 618 minutes after 9:44 AM? 8:02 PM What is 457 minutes before 11:20 AM? 3:43 AM What is 82 minutes before 11:15 AM? 9:...
{ "pile_set_name": "DM Mathematics" }
-1/3 - -5/6. Let w = -70 - -1. Let s be ((-264)/w - 4)*3/6. What is the biggest value in 0.1, s, c? c Let f be 320/(-1920) + 3/(-2) + 2. Which is the second smallest value? (a) -2/13 (b) f (c) 0.3 (d) -225 (e) 2 a Suppose 34*y + 657 = -40*y + y. What is the third biggest value in 6/17, 4, y? y Let z = 760.57762 +...
{ "pile_set_name": "DM Mathematics" }
ed to the nearest one thousand? -51602000 Round 2.075843405 to 4 dps. 2.0758 Round 11.0209699 to 2 decimal places. 11.02 Round 0.000010237184538 to 6 decimal places. 0.00001 What is -0.74920801 rounded to two dps? -0.75 Round 1.975732806 to 1 dp. 2 Round -0.00097596481 to 6 dps. -0.000976 Round -0.000136915968 to five ...
{ "pile_set_name": "DM Mathematics" }
k in seconds? 67200 What is one quarter of a tonne in kilograms? 250 How many kilometers are there in 21.55318 micrometers? 0.00000002155318 What is 56331.29 millilitres in litres? 56.33129 Convert 0.5897849 nanograms to micrograms. 0.0005897849 What is 357.2839 litres in millilitres? 357283.9 How many tonnes are there...
{ "pile_set_name": "DM Mathematics" }
ase 8. 122277 Convert 102526 (base 10) to base 14. 29514 2262c9 (base 14) to base 4 10131201221 -1132340143 (base 5) to base 11 -1530469 Convert 101220200102 (base 3) to base 7. 1553210 Convert -290931 (base 13) to base 2. -11110100011011101100 What is 33415324 (base 6) in base 11? 632405 Convert -146ba1a (base 14) to ...
{ "pile_set_name": "DM Mathematics" }
- 3*h**2 + 2*h - 4. Let f be w(t). Solve n = -f*j - 0 + 8 for j. 2 Let p(m) = -3*m + 27. Let i be p(10). Let d(s) = -s**3 - 3*s**2 - 3*s - 4. Let j be d(i). Solve 0 = l + 4*l + j for l. -1 Let q(s) = 2*s**3 + 2*s**2 - s - 2. Let g be q(-2). Let l(u) = u**3 + 8*u**2 + u. Let n be l(g). Let c be ((-26)/(-6))/(n/(-24)). S...
{ "pile_set_name": "DM Mathematics" }
10? 310 Let r = -43972 + 109822. Round r to the nearest one thousand. 66000 Let q = 615 + -631.3. Let s = -16.30000234 - q. What is s rounded to seven decimal places? -0.0000023 Let x = 150812 + -311014. What is x rounded to the nearest ten thousand? -160000 Let l = 54.8633 - 2.8503. Let x = -52 + l. What is x rounded ...
{ "pile_set_name": "DM Mathematics" }
8, -26, -30, -30, -26? -18 What is the next term in -1553, -1550, -1547, -1544? -1541 What comes next: 91, 183, 275, 367, 459, 551? 643 What is next in 0, 1, 14, 45, 100, 185, 306, 469? 680 What is next in -23, -83, -171, -287, -431, -603? -803 What is next in 37, 208, 503, 928, 1489? 2192 What is next in -286, -294, -...
{ "pile_set_name": "DM Mathematics" }
when three letters picked without replacement from ccsahschcchac. 1/143 Four letters picked without replacement from vnhinhinihnvvh. Give prob of sequence nihh. 6/1001 Two letters picked without replacement from {q: 10, g: 2, b: 2}. What is prob of sequence bq? 10/91 Calculate prob of sequence bbb when three letters pi...
{ "pile_set_name": "DM Mathematics" }
63409 765.95727+-8 757.95727 What is -0.28006 less than 14.404? 14.68406 What is -1.5 - -0.0380959? -1.4619041 Sum -40.023 and 52719. 52678.977 Calculate 20 - 6406226. -6406206 What is the difference between 4180324 and -1.5? 4180325.5 What is -23.8528 less than -65.4? -41.5472 What is the difference between -1039369 a...
{ "pile_set_name": "DM Mathematics" }
08 + 2.92. Put -0.3, v, -2, u in descending order. u, v, -0.3, -2 Let q(y) be the first derivative of -y**2/2 + 4*y + 2. Let m be q(7). Let a = -404 + 399. Sort 4, a, m. a, m, 4 Suppose 0 = -5*m + 11*m. Suppose m = 7*b - 2*b + 10. Let u(k) = -k - 4. Let g be u(-7). Put g, b, -3 in decreasing order. g, b, -3 Let m be 51...
{ "pile_set_name": "DM Mathematics" }
+ 44. Which is the fourth biggest value? (a) -3/4 (b) 2 (c) k (d) 3 a Let c be 1/(-5)*(6 - (0 + 5)). What is the third biggest value in -1, c, 8? -1 Let a = -0.2 - -0.6. Let c = 0 + a. Suppose -k + 3*y - 8*y = -15, -5*y + 20 = 0. What is the biggest value in 5, k, c? 5 Let s = -40 + 38. What is the fourth biggest ...
{ "pile_set_name": "DM Mathematics" }
22/8) -2/37 Evaluate (((-552)/(-36))/23)/1. 2/3 Evaluate ((129/(-1505))/(1/(-10)))/((-2)/28). -12 What is ((1/(-1))/4)/(4447/302396)? -17 Evaluate (72/(-12))/(96/16). -1 Evaluate (-7)/(-22)*15*(-216)/5670. -2/11 What is 10/3*9/84*(-656)/4100? -2/35 (-72)/(-36)*1/(-5) -2/5 What is ((6/(-10))/(81/(-90)))/(-4)? -1/6 Evalu...
{ "pile_set_name": "DM Mathematics" }
78)/52. Solve -g + 1/5*g**z + g**3 - 1/5 = 0. -1, -1/5, 1 Let l(g) be the second derivative of g**4/6 + 14*g**3/3 + 48*g**2 + 159*g. Let l(q) = 0. What is q? -8, -6 Let m(g) be the first derivative of g**4/30 - g**3/15 - 6*g**2/5 + 32*g + 32. Let q(p) be the first derivative of m(p). Find j such that q(j) = 0. -2, 3 Le...
{ "pile_set_name": "DM Mathematics" }
20 + p**4/2 - 5*p**3/6 + 7*p**2/2 - 9*p. Is q(5) a prime number? True Suppose 7 = -2*j - 9. Let x = -5 - j. Suppose -2*d - 2*q + 77 = -233, -x*d - 2*q = -467. Is d a prime number? True Suppose 3*k + 971 = -0*p + 4*p, -4*k + 1237 = 5*p. Suppose -4*z - 3*g = 2*g - p, z + 2*g = 59. Is z a composite number? True Suppose 6 ...
{ "pile_set_name": "DM Mathematics" }
ue Is 4072651 composite? True Is 412927859 prime? True Is 695861 composite? True Is 2007907 prime? False Is 247553663 prime? False Is 127787 a composite number? True Is 1334422 composite? True Is 10876729 a prime number? True Is 586163 composite? True Is 1283491 a prime number? False Is 1002563 composite? True Is 12869...
{ "pile_set_name": "DM Mathematics" }
- 0*j + 4 for j. 0 Let g(n) = -n**2 + 29*n + 30. Let d be g(30). Solve 5 = 4*i + z, -4 = -d*i - 5*i - 2*z for i. 2 Suppose -3*g + 16 = 13*v - 8*v, 0 = -2*g - 6. Solve v*d - 6*d = -k - 4, 5 = -5*k for d. 3 Let p be (-15)/(-135) + (-322)/(-18). Solve -3*w + 3*z = -4*w + p, 4*w - 4*z = -8 for w. 3 Let h(q) = -q**2 + 11*q...
{ "pile_set_name": "DM Mathematics" }
2? -2 What is the closest to 15 in -3, 6, -4? 6 What is the nearest to -0.056 in 2/3, 0.41, -0.15? -0.15 Which is the nearest to -2? (a) 4 (b) 0.3 (c) -11 (d) -640 (e) -1 e Which is the closest to -0.3? (a) -0.3 (b) -2/25 (c) -0.27 (d) 3 (e) -2 a What is the nearest to 1/2 in 7, -5, 478? -5 Which is the neare...
{ "pile_set_name": "DM Mathematics" }
w. Suppose 67 = 5*b + 7. What is the greatest common divisor of w and b? 12 Let i(o) = -3*o + 382. Let g be i(-22). What is the greatest common factor of g and 84? 28 Let s be -4 + -6*(-4 + 1)/(-6). Let z(w) = w**3 + 9*w**2 + 5*w - 8. Let x be z(s). Calculate the highest common divisor of x and 605. 55 Suppose -11*d - ...
{ "pile_set_name": "DM Mathematics" }
(4)? 1 Suppose -105*o = -109*o + 2*w + 2266, 3*o + 3*w = 1722. What is the units digit of o? 9 Suppose 17 = u + 14. What is the tens digit of ((-7)/(7/2))/(u/(-72))? 4 Suppose 0 = 3*v - 2*q + q - 768, -5*q = 0. What is the units digit of v? 6 Let k = 463 + -461. What is the units digit of k? 2 Let d(r) = r**2 + 15*r - ...
{ "pile_set_name": "DM Mathematics" }
m: 7}. What is prob of sequence mmm? 1 What is prob of sequence dg when two letters picked without replacement from {l: 1, n: 1, q: 2, g: 2, d: 1, a: 1}? 1/28 Two letters picked without replacement from {u: 1, t: 2, g: 1, i: 2, p: 3, o: 3}. What is prob of sequence oo? 1/22 Four letters picked without replacement from ...
{ "pile_set_name": "DM Mathematics" }
Calculate -2 + -30 - ((-102312)/76)/42. 1/19 What is (-116)/(-15)*23625/(-3150)? -58 What is the value of (-2 + 18 + ((-4614)/(-78) - 73))/1? 28/13 What is -11 + (27 - 7) + 8515/(-775) + (-5 - -7)? 2/155 Evaluate 30100/(-10750) + 762/(-10). -79 (-8760)/(-258) - (465/(-31) - -49) -2/43 What is the value of (-42)/(28/(-...
{ "pile_set_name": "DM Mathematics" }
3 + 627*y**3 + 1213 - 163*y**3 - 3*y + 598*y**3 to the form f*y**2 + b*y**3 + w + t*y and give b. 1062 Express 168610*d + 3*d**3 - 168602*d - 2*d**3 + 1 + 16*d**2 as w*d**2 + x*d + h + q*d**3 and give q. 1 Rearrange -4*c**4 + 2*c**2 - 33 + 4 - 6*c**2 + 2*c + 6*c**2 + c**3 to the form u*c**2 + v*c**4 + r*c**3 + l*c + a ...
{ "pile_set_name": "DM Mathematics" }
s 4797.320131? -4797.520131 What is 0.4 less than -0.496854202? -0.896854202 Sum 1.81019 and -53.41. -51.59981 What is 0.05563 - 725658? -725657.94437 Calculate 67 - -0.6272005. 67.6272005 What is -4838 less than -19.1827? 4818.8173 Sum -582261 and 0.8563. -582260.1437 What is -199975617 minus 2? -199975619 What is 354...
{ "pile_set_name": "DM Mathematics" }
s the third root of 960 to the nearest integer? 10 What is the fourth root of 2056 to the nearest integer? 7 What is the cube root of 32637 to the nearest integer? 32 What is 6461 to the power of 1/2, to the nearest integer? 80 What is the eighth root of 4159 to the nearest integer? 3 What is the square root of 4840 to...
{ "pile_set_name": "DM Mathematics" }
0234 In base 14, what is -2 + 939a49? 939a47 In base 3, what is -121012202 + -2201212? -200221121 In base 11, what is 16334 + 2a6? 1662a In base 15, what is -4034 + -4a2? -44d6 In base 7, what is -3022 + -12665? -16020 In base 14, what is 1d764a - -24? 1d7670 In base 4, what is 11100231320132 + -12? 11100231320120 In b...
{ "pile_set_name": "DM Mathematics" }
(d)). -26*d**2 Let r(y) be the third derivative of -y**5/60 + 18*y**2. Let b(i) = 26*i**2. Give b(r(o)). 26*o**4 Let a(p) be the third derivative of p**5/20 - 24*p**2. Let z(s) = -90*s**2. Calculate a(z(r)). 24300*r**4 Let s(o) = -o. Let p(x) be the first derivative of x**3/3 - 134*x - 133. What is s(p(v))? -v**2 + 134...
{ "pile_set_name": "DM Mathematics" }
inator of h and -46/9. 5031 Let d be 1*2/2348*-8. Let w be ((-64)/44)/8 - (-48046)/(-12914). Let j = d + w. Calculate the common denominator of j and -31/6. 66 Let p = 21493/220 + -2025/22. Let v = -1142571/73 - -15653. Let j = 4661/1460 - v. Find the common denominator of p and j. 20 Let h(m) = 11*m**2 - 177*m - 518. ...
{ "pile_set_name": "DM Mathematics" }
x = 23/12 - -7/12. What is the common denominator of x and 13/12? 12 Let s(y) = -3*y - 6. Let c = -1 - -10. Calculate the least common multiple of s(-4) and c. 18 Calculate the least common multiple of 18 and (6/8)/(2/8). 18 Let o = 51269 - 97513/2. Let y = o - 2585. Let v = -67 - y. What is the common denominator of v...
{ "pile_set_name": "DM Mathematics" }
v) + o(v). Differentiate z(w) with respect to w. -4*w**3 + 16*w Find the third derivative of 81403*x**3 - 431*x**2 - 218*x**4 - 81403*x**3 wrt x. -5232*x Let q(p) = -8*p**3 + p**2 - p - 4. Let d be q(-2). Suppose 5*b + 6 = d. Find the third derivative of 4*i**6 - 3*i**6 - 14*i**2 + b*i**2 + 0*i**6 wrt i. 120*i**3 What ...
{ "pile_set_name": "DM Mathematics" }
Solve -3*q - 3*q - 100 = -4*q - 8793*j + 8769*j, 0 = 2*q + 3*j - 8 for q. -2 Solve 59*i - 35 = g + 55*i, 608*i + 40 = -3*g + 607*i for g. -15 Solve 17 - 23 = -4*q + 4*u + 38, q + 5*u = -85 for q. -5 Solve -17*w - 24 + 7 = -15*w - 3*a - 2*a + 3, 0 = -2*a + 9*a - a for w. -10 Solve -3*a + a = 168*z - 136*z - 72, -55 = -3...
{ "pile_set_name": "DM Mathematics" }
of x(o) wrt o. -216*o Let u(t) = t + 10. Let f be u(-6). Suppose -5*o - n + 6 = -9, -4*n = 20. Differentiate 2*g**4 + 2*g**f - g**o - 1 wrt g. 12*g**3 What is the second derivative of 14*t - 23*t**5 + 38*t**5 - 21*t**5 wrt t? -120*t**3 Let y(t) = -3*t + 1. Let f be y(-1). Find the second derivative of -a**4 - 2*a + 4*...
{ "pile_set_name": "DM Mathematics" }
eplacement from uuesfqjjsesusf. 1/91 Calculate prob of sequence xg when two letters picked without replacement from {n: 2, g: 2, v: 2, z: 10, x: 3}. 1/57 Calculate prob of sequence xaqx when four letters picked without replacement from qxxxqkxxqxqqaxqqj. 7/1360 Four letters picked without replacement from wpbpbobppo. W...
{ "pile_set_name": "DM Mathematics" }
uppose 0 = -y - 3*k + 459, k - 2350 = -5*y - 3*k. Let t be v/(-3) - y/(-369). Is t less than 0? True Let w = -5823 + 5629. Is w greater than or equal to -194? True Let z = -429.89 - -464. Let r = z - 3.11. Is -3 bigger than r? False Let o = 95 + -95. Let g(d) = d**2 - d - 3. Let f be g(3). Let r be -2 - (f + -4 - o). I...
{ "pile_set_name": "DM Mathematics" }
- sqrt(7)) + 2. 3 + 4*sqrt(7) Simplify -2 + (sqrt(245) + -1 - ((sqrt(10)/sqrt(2))**2 + 1)). -9 + 7*sqrt(5) Simplify -5 + (sqrt(468)*-1 - sqrt(52))/(2*sqrt(4)*5). -5 - 2*sqrt(13)/5 Simplify -1 + sqrt(3) + -1 + 3 + -1*sqrt(300) + 3. -9*sqrt(3) + 4 Simplify 2*2*-2*sqrt(5). -8*sqrt(5) Simplify (-5*sqrt(171)/(sqrt(900)*-2 ...
{ "pile_set_name": "DM Mathematics" }
pose -73029 = -29*z + 22091. Round z to the nearest 1000. 3000 Let z be 8/(-36) + 20*(-1)/(-9). Suppose -z*o + 3*g = -11, 0 = -o + 2*g + 3*g + 16. Round o to the nearest integer. 1 Let y = -39 + 39.18. Let z = y + -0.1800119. What is z rounded to six dps? -0.000012 Let a = 148 - 125.8. Let d = -20 + a. What is d rounde...
{ "pile_set_name": "DM Mathematics" }
pose 1 = c, -2*g = -c - 4*c + 1. Solve -5*t - 7 = -g for t. -1 Let i(g) = g - 1. Let x be i(7). Let d be (-1)/(-3) + (-10)/(-6). Solve d*y = -0*y + x for y. 3 Let j be (3/9)/(2/12). Suppose j*i - i = 0. Solve -4*c = -i*c for c. 0 Suppose -67 = 4*y - 3. Let m be 32/6 + y/(-24). Solve -4*c + m = -c for c. 2 Suppose -8 = ...
{ "pile_set_name": "DM Mathematics" }
- 17.88. Let u = t - -18. Which is the fourth biggest value? (a) -0.2 (b) 3 (c) u (d) 0.1 a Let z = 8 + -7. What is the smallest value in -3/8, -4/23, z? -3/8 Let n(y) = 2*y + 52. Let r be n(-28). What is the biggest value in -84, r, -5? r Let z = 8 - 4. Let d = 1 + -5. Suppose -5*q = -13*q + 16. Which is the bigg...
{ "pile_set_name": "DM Mathematics" }
est integer. -189 What is 9525000 rounded to the nearest one hundred thousand? 9500000 Round -7351 to the nearest 1000. -7000 Round -15471 to the nearest one thousand. -15000 What is -16920 rounded to the nearest 1000? -17000 What is -0.0073038 rounded to 3 decimal places? -0.007 Round 733.13 to the nearest 10. 730 Rou...
{ "pile_set_name": "DM Mathematics" }
= 40*d - 3054. Give g(68). -334 Let h(s) = 610*s - 32356. Determine h(53). -26 Let m(f) = -1884*f - 24487. Determine m(-13). 5 Let q(l) = -8*l**3 + 3*l**2 + 30*l - 39. Calculate q(4). -383 Let q(f) = 1243*f**2 + 7499*f - 14. Calculate q(-6). -260 Let i(n) = -n**3 - 599*n**2 + 56602*n - 2746. What is i(-682)? -18 Let b(...
{ "pile_set_name": "DM Mathematics" }
What is the sixth root of 472398306 to the nearest integer? 28 What is the square root of 1393596 to the nearest integer? 1181 What is the ninth root of 149572621 to the nearest integer? 8 What is the third root of 112641050 to the nearest integer? 483 What is the fifth root of 233107777 to the nearest integer? 47 What...
{ "pile_set_name": "DM Mathematics" }
0.04 What is the smallest value in -3, 0.08, 1.5, -62? -62 Which is the fourth smallest value? (a) 0.3 (b) 41466 (c) 0 (d) -0.3 b Which is the third biggest value? (a) 0 (b) -0.21 (c) -8 (d) -0.1 (e) 1 (f) 10 a Which is the third biggest value? (a) 4 (b) -13/7 (c) -36 c What is the fifth biggest value in -...
{ "pile_set_name": "DM Mathematics" }
/d)/(1 + 1). Let x = -0.8 + 0.7. Which is the second biggest value? (a) x (b) t (c) -3 a Let o = -0.02 + 3.02. Let q = o - 0. What is the second smallest value in 5, q, 0.5? q Let n = 8/5 - 6/5. Let u = 3/137267 - -1066423/1647204. Let m = u + 1/52. What is the biggest value in 4, n, m? 4 Let u = -3.942 + -0.058. Wh...
{ "pile_set_name": "DM Mathematics" }
order. y, 0, 4 Let h be 2/1 - (0 - -2). Let r(x) = x + 15. Let k be r(-15). Let i = h + k. Sort i, -5, -2 in ascending order. -5, -2, i Suppose 5*c - 35 = -5*q + q, 2*c - 31 = -5*q. Let z be (-4)/18 - (-152)/198. Sort c, z, 1/2 in descending order. c, z, 1/2 Suppose 3*v - 4*y = y + 28, -2*y - 12 = -2*v. Let u be 32/6 -...
{ "pile_set_name": "DM Mathematics" }
econd smallest value in d, 3, 5? 3 Let j = -24 - -24.2. What is the fourth biggest value in 1/9, j, -5, -6? -6 Let j = 8 + -4. What is the third biggest value in -1/10, j, -0.06? -1/10 Let h = -798 - -23144/29. Which is the fourth smallest value? (a) -5 (b) h (c) -2 (d) 3 d Suppose r + 3*q + 7 = 0, -21 + 1 = 5*q. S...
{ "pile_set_name": "DM Mathematics" }
in 1421*c - 2834*c + 1416*c. 3*c Collect the terms in -9*j + 6*j - 7*j. -10*j Collect the terms in 5 + 4 + 1 - 10 - j**3. -j**3 Collect the terms in -42*u**3 - 45*u**3 + 132*u**3 - 46*u**3. -u**3 Collect the terms in -14*b**3 + b**3 - b**2 - 8*b**3. -21*b**3 - b**2 Collect the terms in -36 + 13*g**2 + 36 - 16*g**2. -3*...
{ "pile_set_name": "DM Mathematics" }
12 Two letters picked without replacement from {f: 2, m: 5}. Give prob of sequence mf. 5/21 What is prob of sequence fqqf when four letters picked without replacement from {q: 2, f: 2}? 1/6 Calculate prob of sequence bbwb when four letters picked without replacement from wwwwbbbwwbbwbbwwbb. 21/340 Calculate prob of seq...
{ "pile_set_name": "DM Mathematics" }
o and give s. 264 Rearrange 2*l - 6*l + 4*l + 113170*l**2 - 110569*l**2 to k*l + p*l**2 + i and give p. 2601 Rearrange (0 - 96995*k**2 + 0 + 96850*k**2)*(3*k - 5 + 3 - k) to the form v + u*k**3 + i*k**2 + c*k and give u. -290 Rearrange (3*v - 6*v - 5*v)*(18 - 18 + 5*v**3) - 5*v**4 + v**4 + 3*v**4 to c*v**4 + q*v**3 + b...
{ "pile_set_name": "DM Mathematics" }
4*v**3 + 11*v**2 - v. Determine x*k(u) + 4*y(u). -u**3 - u**2 - u Let q(x) = -3*x**2 + 6*x - 9. Let w(g) = -3*g + 31. Let k(a) = 17*a - 171. Let h(o) = 2*k(o) + 11*w(o). Give 6*h(d) - q(d). 3*d**2 + 3 Let g(c) = -898*c - 11. Let q(f) = -3. Give -g(w) + 4*q(w). 898*w - 1 Let z(s) = 2*s**3 + 47*s**2 - 3*s + 4. Let l(d) =...
{ "pile_set_name": "DM Mathematics" }
-1/3295 What is the closest to 1/2 in 0.2649, 4, -4, 72? 0.2649 What is the closest to 5 in 4, -165, -0.9, -90, -0.2? 4 What is the nearest to -5.4134 in -0.4, 5, -3/7, -0.39? -3/7 Which is the nearest to -2/17? (a) 3.8 (b) -3/4 (c) -1/6 (d) 5/6 (e) 2/209 (f) 3/19 c Which is the nearest to 0.1? (a) 0.4 (b) 0.3 ...
{ "pile_set_name": "DM Mathematics" }
4). Let d = -9 - -8. Sort -3, d, w. -3, d, w Let m = 26 - 24. Sort m, -4, -5 in descending order. m, -4, -5 Suppose -28 + 3 = -3*a + 5*i, -10 = -4*a - 5*i. Suppose -4*u + 2*u = 8. Put -3, a, u in decreasing order. a, -3, u Let u be (1 - (-1 - -6)) + -2. Let r be (-3)/(u - 2/(-1)). Suppose -t - 5 = -1. Sort -2/21, r, t ...
{ "pile_set_name": "DM Mathematics" }
l. Suppose 3*t + 2*x = p, 4*t + t + 4*x - 282 = 0. Is 41 a factor of t? False Suppose 3*j - 4*m = 59, -5*j = -5*m + 1 - 91. Suppose 0 = 6*x + j*x - 3762. Does 21 divide x? False Let t = -18 + 172. Suppose t + 451 = -11*w. Let p = -35 - w. Does 6 divide p? False Suppose 4*h = -a - 73 - 42, 0 = 3*h. Let v = 150 - a. Is ...
{ "pile_set_name": "DM Mathematics" }