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215206 What is the s'th term of 2462, 2335, 2208, 2081, 1954? -127*s + 2589 What is the b'th term of 35, 91, 131, 155, 163, 155, 131? -8*b**2 + 80*b - 37 What is the a'th term of 2295, 2308, 2323, 2334, 2335? -a**3 + 7*a**2 - a + 2290 What is the p'th term of -3358, -3355, -3350, -3343, -3334? p**2 - 3359 What is the g...
{ "pile_set_name": "DM Mathematics" }
+ p**2 + (-5*p - p + 4*p)*(2*p**4 + 0*p**4 - 6*p**4) + 0*p**2 + 0*p**2 - 2*p**5. 7*p**5 Expand (5 + 8*k**2 - 5)*(0 + 3 - 4)*(21*k**3 - 46*k**3 - 39*k**3). 512*k**5 Expand (p**3 + 2*p - 2*p)*(4*p + 133*p**2 - 4*p) - p**3 + p**3 - p**5. 132*p**5 Expand (5*i**3 + 0*i**3 - 3*i**3)*(-i**2 + 0*i**2 + 3*i**2) - 2*i - 94*i**3...
{ "pile_set_name": "DM Mathematics" }
/(-2)? 3 Suppose -5*c - 10 = 2*g - 0*g, 0 = 4*c + 16. Suppose -g*f + 5*y + 321 = -104, 3*f + y = 247. What is the tens digit of f? 8 Suppose 0 = -5*l + 145 + 3375. What is the tens digit of l? 0 Let d = 94 + -60. Let s = d - -60. What is the units digit of s? 4 Let c be -2*(-2 + 2/6*0). Suppose -f - 4*f - c*x + 780 = 0...
{ "pile_set_name": "DM Mathematics" }
p + t for p. 1 Let l(i) = -i**3 - i**2 - i. Let c(m) = 6*m**3 + 10*m**2 + 9*m + 1. Let j(k) = c(k) + 5*l(k). Let n be j(-4). Let o = 430 + -425. Solve -z = -n + o for z. -4 Let o = -24 - -38. Suppose -o*b = -19*b + 15. Solve b*w - w = 0 for w. 0 Let c(w) = -w**2 + w + 6. Suppose -3*n - 13 + 19 = 0. Let m be c(n). Solve...
{ "pile_set_name": "DM Mathematics" }
plify (((o**(-11)*o)/(o**(2/29)/o))/(o*o**(-1/4)/o)**(1/22))**1 assuming o is positive. o**(-23115/2552) Simplify ((f/f**(2/21))/(f/(f*f**(-6)))*(f**(5/2)/f)**50)**(18/7) assuming f is positive. f**(8808/49) Simplify (q**(5/3)/((q*q**(37/5)*q)/q))/(q**27/(q/q**8)) assuming q is positive. q**(-611/15) Simplify (g/(g/(g/...
{ "pile_set_name": "DM Mathematics" }
0 - (0 + 0 + 5)? -4 Evaluate -11 + -12 - (-2 + 3 + -7 + -1). -16 What is 18 - (11 - (-17 + 10))? 0 Evaluate 32 - 17 - 25 - 1. -11 Evaluate -9 + 6 + 8 + -11. -6 What is (-7 - -8 - -23) + (-3 - (-2 + 0))? 23 Evaluate 8 + -2 + -8 + (1 - -2) + -3. -2 (2 - (-2 + -2)) + 4 - (71 + -72) 11 What is the value of 10 - ((10 - 14) ...
{ "pile_set_name": "DM Mathematics" }
What is 1320112 (base 4) in base 14? 2b42 What is -252 (base 11) in base 13? -1a0 What is -c8 (base 13) in base 7? -323 102cb (base 14) to base 5 2221422 Convert 8a7 (base 11) to base 9. 1435 Convert -642 (base 7) to base 8. -504 What is -88 (base 11) in base 9? -116 What is 979a (base 11) in base 13? 5b70 Convert -240...
{ "pile_set_name": "DM Mathematics" }
term of 4589, 9496, 14721, 20258, 26101, 32244? -c**3 + 165*c**2 + 4419*c + 6 What is the v'th term of -2337, -3599, -4263, -4329? 299*v**2 - 2159*v - 477 What is the c'th term of 10661, 46146, 106451, 191576, 301521, 436286, 595871? 12410*c**2 - 1745*c - 4 What is the y'th term of 731152, 731162, 731172, 731182, 73119...
{ "pile_set_name": "DM Mathematics" }
is divided by 379? 373 What is the remainder when 106145 is divided by 80? 65 Calculate the remainder when 196290 is divided by 153. 144 Calculate the remainder when 12084 is divided by 482. 34 Calculate the remainder when 10306 is divided by 1282. 50 Calculate the remainder when 658648 is divided by 3944. 0 What is t...
{ "pile_set_name": "DM Mathematics" }
What is b rounded to three decimal places? -0.021 Let w be 22/3*6/(-4). Let c = 13 + w. Suppose 5*b + c*f = 56008, f + 8 = 3*f. What is b rounded to the nearest 1000? 11000 Let b = -449 - -449.22046. Let o = -13.377 - -13.6. Let i = b - o. What is i rounded to four dps? -0.0025 Let x = -3086.000001453 + 3086. What is ...
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -12*i - 62188*i**2 + 23*i - 7*i - 4*i + 62352*i**2. 164*i**2 Collect the terms in 194*p - 626*p + 199*p + 216*p. -17*p Collect the terms in 61812 + 100*h - 20608 - 20598 - 20606. 100*h Collect the terms in -284311*h + 142272*h + 142034*h. -5*h Collect the terms in -116259 + 5124*f + 116270 - 5100*f...
{ "pile_set_name": "DM Mathematics" }
greater: -0.01211 or 2? 2 Do -151 and -150 have the same value? False Is 55 <= 50? False Is -534 at least -534? True Which is smaller: 1 or -22/221? -22/221 Which is smaller: 28 or -5? -5 Which is bigger: 0.49 or -1? 0.49 Which is greater: 164/3 or 56? 56 Is 0 bigger than -3803? True Are 5/2 and 0.234 equal? False Is 5...
{ "pile_set_name": "DM Mathematics" }
number? False Is 11288565493 a composite number? False Is 173296681 prime? True Is 14161060681 prime? False Is 557856281 prime? True Is 16133274389 composite? True Is 2653707413 a composite number? True Is 1043032423 composite? False Is 3705001721 prime? True Is 12984927821 composite? False Is 1292967839 composite? Tru...
{ "pile_set_name": "DM Mathematics" }
28*v - 89*v to m*v + o and give m. -61 Rearrange 0*k**4 + 32 + 3*k**4 - k - 30 to the form w + n*k**4 + h*k**2 + d*k**3 + y*k and give w. 2 Rearrange -2*z**2 + 3*z**2 + z**2 + (-3*z - 3*z**2 + 3*z)*(-2 + 0 + 0) - z**2 - 2*z**2 + 2*z**2 to b + c*z + m*z**2 and give m. 7 Rearrange -3*r - r - 3*r - 2*r to the form l*r + z...
{ "pile_set_name": "DM Mathematics" }
, given that t*x**2 + x - x + 4*x**3 + 2*x**4 = 0. -1, 0 Let n(l) = l**2 - 8*l + 2. Let j be n(9). Let o = j + -9. Find w such that 0*w + 0 - 1/2*w**o = 0. 0 Factor 10*m**2 + 379 - 369 + 2*m + 23*m. 5*(m + 2)*(2*m + 1) Suppose -4*z + 2 = -3*z. Let s(o) = o + 16. Let u be s(-10). Let -4*q + 2 - 10*q**z - 2 - u*q**3 = 0....
{ "pile_set_name": "DM Mathematics" }
late 160 + -167 + (-12 + 9 - (0 - 2)). -8 What is 32 + -2 + (-7 - -6) + -8? 21 What is 10 - 1 - (-5 + 10 - (8 + 4))? 16 What is 6 + (-10 - -20 - (1 + 23))? -8 What is the value of (-1 - -1) + 308 + -291? 17 What is (2 - 6 - -5) + (3 - 9) - 4? -9 Evaluate -8 - -1 - (-5 + 2) - (71 + -64). -11 What is (-69 - -65) + 9 + 2 ...
{ "pile_set_name": "DM Mathematics" }
ond derivative of m**7/63 - 2*m**6/45 + m**4/9 - m**3/9 - 6*m. Find b such that o(b) = 0. -1, 0, 1 Suppose -2*i - 4 = -10. Solve -2*d**2 - 3*d**3 + 2*d - i + d**3 + 5 = 0. -1, 1 Let m(i) be the third derivative of 0 - 1/15*i**5 + 0*i + 2/105*i**7 - 1/20*i**6 + 0*i**3 + 3*i**2 + 0*i**4. Let m(l) = 0. Calculate l. -1/2, ...
{ "pile_set_name": "DM Mathematics" }
4*s = 22, 0 = 3*z + 4*s - 2*s - 26. Suppose 4*h - z*h = 0. Solve h = -l - 3*l - 4 for l. -1 Let y be -6*(12/(-8) + 15 + 2). Let r = 98 + y. Solve -6*n - r = -n for n. -1 Let i = -21 + 26. Solve i*g - 14 = 12*g for g. -2 Suppose 0 = -34*b - 25*b. Solve 3*v + 9 = -b for v. -3 Let o(i) = -8*i + 42. Let v be o(5). Solve 0 ...
{ "pile_set_name": "DM Mathematics" }
= 61 + -65. Let q be (y/8 + 1)*0. Solve 2*h - 15 = 5*h, q = -5*f + 2*h + 20 for f. 2 Let j(z) = z**2 + 5*z - 1. Let d be j(-6). Let v = 2 - d. Let b = 3 + v. Solve b = -4*i - 4*u - 12, -i - 5*u = -3*u + 5 for i. -1 Suppose -5 + 25 = 5*g. Let h = 9 - g. Suppose 2*y + 0*r + 2*r + 4 = 0, y - 28 = h*r. Solve -2*q = -0*o + ...
{ "pile_set_name": "DM Mathematics" }
. Let b(q) = q**2 + 4*q - 7. Let s be b(-6). Let u = s - z. Solve 0*w + 2 = u*w for w. 1 Suppose 4*f = i + f - 24, -i = 5*f + 16. Let z be (6/i)/((-2)/(-9)). Solve z*k = -5 - 1 for k. -2 Let w be 1 + 1 + 1 + -9. Let j = w - -18. Solve j = 4*m + 4 for m. 2 Let o(h) = -h**3 + 9*h**2 - 7*h + 8. Let z = 11 - 3. Let g be o(...
{ "pile_set_name": "DM Mathematics" }
ommon denominator of 5/1518 and -43/198. 4554 Calculate the common denominator of 59/7508 and 57/18770. 37540 Find the common denominator of -89/4 and -52/5809. 23236 Calculate the smallest common multiple of 27 and 877851. 877851 What is the common denominator of 53/5798 and -25/9812? 127556 Calculate the common denom...
{ "pile_set_name": "DM Mathematics" }
? 4 What is 1061943 to the power of 1/10, to the nearest integer? 4 What is 1361826 to the power of 1/2, to the nearest integer? 1167 What is 1045885 to the power of 1/2, to the nearest integer? 1023 What is the cube root of 1732997 to the nearest integer? 120 What is 6831203 to the power of 1/8, to the nearest integer...
{ "pile_set_name": "DM Mathematics" }
What is d(x(b))? -2*b**2 + 74*b Let h(y) = -17*y. Let o(k) be the second derivative of -k**4/6 + 45*k. What is o(h(u))? -578*u**2 Let w(j) = -9*j + 17. Let m(z) = -14*z. Give m(w(h)). 126*h - 238 Let g(c) be the first derivative of -c**2 - 8. Let f(m) = -11*m - 2. Let v(n) = 12*n + 3. Let t(x) = -3*f(x) - 2*v(x). Calcu...
{ "pile_set_name": "DM Mathematics" }
286 What is prob of sequence jck when three letters picked without replacement from jkkncfkjjjk? 8/495 What is prob of sequence fomv when four letters picked without replacement from {q: 1, w: 1, f: 2, m: 1, o: 3, v: 4}? 1/495 Calculate prob of sequence ybby when four letters picked without replacement from {b: 2, t: 1...
{ "pile_set_name": "DM Mathematics" }
olve -b - r + 1 = 0 for b. -1 Let b(z) = -z**2 - 15*z + 11. Let l be b(-16). Let f be (3/l)/((-2)/10). Suppose -3*x = 4*s + f, 2*s - x + 6*x + 5 = 0. Solve s = -5*k + 1 + 4 for k. 1 Let i = 0 + 3. Suppose -c + 15 = 12. Suppose r + 12 - 2 = c*f, 0 = -5*f + 5*r + 20. Solve -6 = -f*k + i for k. 3 Let f(w) = -w**3 - 4*w**2...
{ "pile_set_name": "DM Mathematics" }
d by 46. 44 Let t be (-2)/7 + (-675)/63. Let h = -1 - t. Let y = h + -1. Calculate the remainder when 25 is divided by y. 7 Let l = -42 + 60. Let i(q) = 2*q**3 - 2*q**2 + 2*q - 1. Suppose x + 12 = 2*z + 3*z, -z + 10 = -4*x. Calculate the remainder when l is divided by i(z). 7 Suppose 16*i - 22*i + 210 = 0. Let n = i - ...
{ "pile_set_name": "DM Mathematics" }
)*(0 - 6 - 2). -16*a**4 + 232*a**2 - 24*a - 8 Expand (-11 - 24*a + 11)*(18*a**3 + 0*a**3 + 0 + 0). -432*a**4 Expand (-3 + w + 3)*(3*w**2 - 5 + 5) + (-w**2 + 39*w - 39*w)*(-w + 0 + 0) - 9*w - 3*w**3 + 9*w. w**3 Expand (-345 - 169 - 322)*(2*u + 9*u - 5*u). -5016*u Expand (33327 + 33335 - 638*x - 66658)*(2 - x**2 - 2). 63...
{ "pile_set_name": "DM Mathematics" }
e q(6). -22 Let c(h) = 7*h + 1. Determine c(-1). -6 Let a(h) = -28*h - 176. What is a(-6)? -8 Let c(u) = -11*u - 128. What is c(-12)? 4 Let q(d) = d**2 - 4*d + 4. Calculate q(3). 1 Let b(d) = -d**2 - 7*d - 8. What is b(-5)? 2 Let u(a) = -18*a - 127. Determine u(-7). -1 Let p(w) = 2*w**3 - 35*w**2 - 57*w. Determine p(19...
{ "pile_set_name": "DM Mathematics" }
51200 + n**8/16800 - n**6/3600 - n**4/24 + 3*n**2. Let u(c) be the second derivative of l(c). Factor u(y). -y*(y - 1)**2*(y + 1)**2/5 Let a(u) be the second derivative of -3*u**5/20 - u**4/4 - 7*u. Determine z, given that a(z) = 0. -1, 0 Let v be -4 + (-2 - 1158/(-171)). Let a = v - 2/19. Factor -a*i**2 - 1/3*i - 1/3*i...
{ "pile_set_name": "DM Mathematics" }
. -8 Rearrange (-42 - 2 - 12 + (-2 - 2 + 3)*(4 - 2 - 1) + 3 - 1 - 4)*(-7*p + 5*p + 5*p) to the form h*p + g and give h. -177 Express (0 - 2*k + 0)*(8 + 20 - 3)*(-5*k**3 + 17*k**3 + 25*k**3) as s + c*k**2 + h*k**3 + y*k + m*k**4 and give m. -1850 Rearrange 62*b**2 - 27*b**2 + 8*b - 36*b**2 - 25*b**3 to the form h*b + j*...
{ "pile_set_name": "DM Mathematics" }
j = -4*w + 48. Solve 8 = -5*y - w for y. -5 Let t(u) = -u**2 + 9*u - 8. Let n be t(8). Suppose -4*j + 3*j - 3*o = -8, n = 5*o - 5. Solve 0 = -j*l - 1 + 16 for l. 3 Let x = 74 - 42. Suppose 0 = -2*i + 6*i - x. Solve -2*t + 4*t = i for t. 4 Suppose 0 = 3*k, 3*k + 1 + 11 = 3*z. Solve 0 = -z*g - 8 for g. -2 Let u(m) = -m**...
{ "pile_set_name": "DM Mathematics" }
). -3*f**2*(f - 2) Let w(t) be the first derivative of 1/24*t**4 + 12 - 1/6*t + 1/4*t**2 - 1/6*t**3. Factor w(h). (h - 1)**3/6 Let v(i) be the first derivative of 2*i**5/5 - i**4 + 2*i**2 - 2*i + 125. Factor v(a). 2*(a - 1)**3*(a + 1) Let z(y) be the first derivative of -3 - 3/4*y**4 - 12*y**2 - 12*y - 5*y**3. Determin...
{ "pile_set_name": "DM Mathematics" }
r. 16 Rearrange -65*h**2 - 20*h**2 - 11702 + 11812 - 2*h**2 to k + m*h**2 + a*h and give m. -87 Rearrange (-109 + 720 + 774)*(9*n - 11 + 11) to the form a*n + y and give y. 0 Rearrange -g**3 + 15 + 22 - 23329*g + 23280*g - 3 - 10 to k*g**2 + j*g**3 + x + m*g and give x. 24 Express 211*x**2 + 6*x + 322*x**2 - 228*x**2 ...
{ "pile_set_name": "DM Mathematics" }
5) + 291600 Simplify 2 + sqrt(44)/(sqrt(4) + sqrt(196)*1 + sqrt(4)) + 1 + sqrt(66)/sqrt(150) + 0. 14*sqrt(11)/45 + 3 Simplify (sqrt(637) + sqrt(637)*-1 + 3)**2 + 3 + 2*sqrt(637) + 4 + ((sqrt(637) - (-4 + sqrt(637)))**2 + -1 - (4 + sqrt(637) + -3)). 7*sqrt(13) + 30 Simplify (-3 + 3 + (3 + sqrt(242))*-4 + -3 + 1)**2. 123...
{ "pile_set_name": "DM Mathematics" }
qrt(110) + sqrt(110)*-2 - sqrt(110))*2 + sqrt(110))*-1)/(-1*sqrt(30)/(sqrt(3) + sqrt(3)*1 + sqrt(3)))))**2. 1944*sqrt(11) + 32400 Simplify (6*(((-2*(sqrt(198) - 2*sqrt(198)))/sqrt(9))/(-2*sqrt(704)*2) + -2))**2. 9*sqrt(2) + 4617/32 Simplify (sqrt(70) + -2*sqrt(70)*-5 - (-1*sqrt(70) + sqrt(70))*6)/(-2*(4*2*sqrt(110) + s...
{ "pile_set_name": "DM Mathematics" }
15) to base 10. -108 What is 75 (base 11) in base 14? 5c 13 (base 5) to base 3 22 Convert 3 (base 8) to base 10. 3 What is -3 (base 12) in base 3? -10 What is -a1 (base 12) in base 4? -1321 -10 (base 6) to base 12 -6 -20 (base 7) to base 9 -15 Convert 3 (base 15) to base 3. 10 b4 (base 13) to base 8 223 0 (base 6) to b...
{ "pile_set_name": "DM Mathematics" }
erm of 619, 624, 629? 5*d + 614 What is the f'th term of 35, 42, 71, 134, 243? 2*f**3 - f**2 - 4*f + 38 What is the s'th term of 865, 857, 843, 823, 797? -3*s**2 + s + 867 What is the u'th term of -4, -14, -30, -52? -3*u**2 - u What is the s'th term of 21, 120, 293, 546, 885, 1316, 1845, 2478? s**3 + 31*s**2 - s - 10 W...
{ "pile_set_name": "DM Mathematics" }
h(u) = -u**3 - 44*u**2 - 526*u - 1495. What is h(-26)? 13 Let n(j) = -240677*j + 1684730. Determine n(7). -9 Let t(r) = 4*r**3 - 257*r**2 + 64*r - 134. What is t(64)? -134 Let i(m) = -3*m**2 - 860*m - 10542. Give i(-274). -130 Let s(q) = -16240*q + 2192426. Give s(135). 26 Let f(l) = 13*l**2 + 332*l - 122. Calculate f...
{ "pile_set_name": "DM Mathematics" }
184 What is 444 minutes after 1:02 PM? 8:26 PM How many minutes are there between 4:03 PM and 8:12 PM? 249 How many minutes are there between 3:22 PM and 11:23 PM? 481 What is 446 minutes after 10:58 AM? 6:24 PM How many minutes are there between 7:55 AM and 1:37 PM? 342 What is 82 minutes after 11:46 PM? 1:08 AM How ...
{ "pile_set_name": "DM Mathematics" }
(-7)/(-4) + (27/12 - 2). Let z be l(h). Suppose -z + 16 = -y. Is y composite? False Let h be ((-197)/3 - 1)*273/(-14). Suppose 117 = -3*l + 933. Suppose -z = 3*t - l, 5*z - 5*t - h = -0*z. Is z prime? True Let x = -25462 + 12923. Let r = 26350 + x. Is r composite? True Let x = -371014 + 653973. Is x prime? True Let r ...
{ "pile_set_name": "DM Mathematics" }
)) + 31 + -25 -61 What is -85 - (116 - 198) - ((-4 - -1 - -19) + -3)? -16 Evaluate (43 + -106 - -155) + -71. 21 -60 - (-11 + 15 + -8 + -8 + 0 + 7) -55 -4 + 0 + 2 + -15 + -4 + (54 - 36) -3 What is 25 + (-107 + 122 - (2 - (-14 + 2)))? 26 Calculate (-81 + (-7 - -27) - -2) + 13. -46 (-3 - (2 + 4)) + (-25 - -5 - 1) -30 (221...
{ "pile_set_name": "DM Mathematics" }
for z. 0 Suppose 14*b = 3*b + 6*b. Solve b = -4*s + 2*s + 2 for s. 1 Suppose -d + 3*d - 10 = 0. Let j = 101 + -86. Solve -j = -d*b - 0*b for b. 3 Let p be (-12)/(-7) - (-9)/((-126)/(-4)). Solve -p*b + 12 = 2*b for b. 3 Let c(g) = -g**2 - 7*g - 1. Let i = 14 + -20. Let z be c(i). Suppose o - z*h = 27, -2*o + 24 = -4*h -...
{ "pile_set_name": "DM Mathematics" }
are there in 73/5 of a litre? 14600 How many millilitres are there in 1/4 of a litre? 250 How many centuries are there in 6/5 of a millennium? 12 What is seven eighteenths of a day in seconds? 33600 What is 16955.085 months in years? 1412.92375 How many milligrams are there in twenty-nine halves of a gram? 14500 What i...
{ "pile_set_name": "DM Mathematics" }
5. 5, 107, 141199 List the prime factors of 50501747. 17, 1447, 2053 What are the prime factors of 599816371? 7, 11, 7789823 What are the prime factors of 325494702? 2, 3, 13, 491, 2833 List the prime factors of 83569352. 2, 541, 19309 What are the prime factors of 39752232? 2, 3, 13, 103, 1237 What are the prime facto...
{ "pile_set_name": "DM Mathematics" }
ment from wgngnwnnvwngvwvg? 1/56 What is prob of sequence mmhm when four letters picked without replacement from {m: 8, h: 3}? 7/55 Calculate prob of sequence sqh when three letters picked without replacement from qhhsuu. 1/60 Two letters picked without replacement from {l: 5, s: 11}. Give prob of sequence ss. 11/24 Fo...
{ "pile_set_name": "DM Mathematics" }
et b be a(2). What is the remainder when 11 is divided by j(b)? 2 Suppose 31*t - 684 = -17*t + 10*t. Let x = -6 + 20. Calculate the remainder when t is divided by x. 4 Suppose 14*w - 16*w - 14 = -2*l, 5*w + 11 = 2*l. Calculate the remainder when 68 is divided by (6/7)/(l/(-28)) - -32. 10 Suppose -3*r + 15 = -15. Suppos...
{ "pile_set_name": "DM Mathematics" }
-u*w = -28 + 3 for w. 5 Let q(v) = 7*v + 2*v**3 - 7*v. Let r be q(1). Solve -r*a = -5*a - 6 for a. -2 Suppose -5*w - m - 11 = 0, -4*m + 2*m - 12 = 5*w. Let r be w/(-4)*(-1 + 3). Suppose -2*i - r = -9. Solve 0 = 3*f - 11 - i for f. 5 Let z(t) = t + 2. Suppose 3*x + 6 = -0*x. Let m be z(x). Solve -q + m - 5 = 0 for q. -5...
{ "pile_set_name": "DM Mathematics" }
f? 3 Suppose 5*c - 2*c + 4 = 4*k, -4*k - 4*c = 24. What is the units digit of ((-7)/4)/(k/24)? 1 Let c be 0 + -17 + -2 - -3. Let t = c + 34. What is the units digit of t? 8 Let y = -5 + 7. Suppose y*j = 2*m - 6, -2*j - 5*m = -14 - 8. Suppose -4*i + 13 = j. What is the units digit of i? 3 Let i = 3 + 56. What is the uni...
{ "pile_set_name": "DM Mathematics" }
0? False Let o be 12*(-1)/(-5)*(-20)/(-8). Suppose o*j - 639 = -165. Is 11 a factor of j? False Let k be (-1 - 3) + (3 - 0). Let q be k + 5 - (-9 - -13). Suppose 3*r = -q*r + 51. Is 9 a factor of r? False Suppose -65*o + 192 = -64*o. Suppose -6*d = -0*d - o. Does 3 divide d? False Suppose -2*q - 1 = -85. Suppose -5*d +...
{ "pile_set_name": "DM Mathematics" }
ed to the nearest 100000? 673200000 What is -8.7267134 rounded to 2 dps? -8.73 Round -17.4222166 to one dp. -17.4 Round -0.0011617322 to five dps. -0.00116 Round -0.004168511 to three dps. -0.004 Round 986.35156 to the nearest 100. 1000 What is 0.609967281 rounded to four decimal places? 0.61 Round 0.00157752264 to sev...
{ "pile_set_name": "DM Mathematics" }
und -239.73 to the nearest ten. -240 Round 573090 to the nearest one thousand. 573000 What is -40782 rounded to the nearest 100? -40800 Round -1.95 to 1 decimal place. -2 What is -0.000028017 rounded to five dps? -0.00003 What is 0.0001183 rounded to 5 dps? 0.00012 What is -0.0007193 rounded to five dps? -0.00072 What ...
{ "pile_set_name": "DM Mathematics" }
q = 15.9 - -1.1. Let f = 91631.0022 + -91614. Let h = f - q. Round h to three dps. 0.002 Suppose 47824 = 4*i + 4*o, 4*o - o = -5*i + 59784. Suppose 3258 - i = h. Round h to the nearest one thousand. -9000 Let b(j) = 57*j**3 + 10*j**2 - 6*j + 1. Let s be b(11). Suppose -5*w = 3*u - s, u - 1249 - 14155 = -w. What is w ro...
{ "pile_set_name": "DM Mathematics" }
41825*o/2 + 377984559330625/4 = 0. -19441825 Suppose -3*b**5/5 + 206529*b**4/5 - 206463*b**3/5 - 4337181*b**2/5 + 1858734*b = 0. What is b? -5, 0, 3, 68842 Determine s so that 5*s**3/2 - 143276*s**2 - 2464693*s/2 - 687828 = 0. -8, -3/5, 57319 Factor c**3/5 + 27964*c**2 + 4872834372*c/5 - 1019607720768/5. (c - 208)*(c +...
{ "pile_set_name": "DM Mathematics" }
e of 12*o + 6*o**2 + 7*o - 14*o + 13*o**i wrt o. 38 Let u be ((-21)/56)/1 - (-118)/16. Find the third derivative of 398*s**5 + 138*s**2 - 270*s**5 + 7*s**4 - u*s**4 wrt s. 7680*s**2 Suppose -20 + 12 = -2*q. Find the second derivative of 9*u + 134*u**q - u - 249*u**4 - 3*u + 4*u wrt u. -1380*u**2 Let r(x) = 1767*x**4 + ...
{ "pile_set_name": "DM Mathematics" }
3 Simplify (sqrt(700) + sqrt(700) + (sqrt(700) - (sqrt(700) + 2)) + -2 + -4 + sqrt(700) + 2)**2. -360*sqrt(7) + 6336 Simplify -3 + (-4*(sqrt(200) + -5))**2 + 3. -1600*sqrt(2) + 3600 Simplify (5 + (sqrt(325) + (sqrt(325) - (sqrt(325)*-1*-6 + sqrt(325))) - sqrt(325)) + -4)**2*-3. -35103 + 180*sqrt(13) Simplify ((sqrt(187...
{ "pile_set_name": "DM Mathematics" }
Four letters picked without replacement from ckxkccxkckkkxk. Give prob of picking 2 x and 2 c. 18/1001 Two letters picked without replacement from pejeujneereeeenpeep. What is prob of picking 1 p and 1 j? 2/57 Calculate prob of picking 1 d, 1 z, and 2 j when four letters picked without replacement from {z: 3, d: 5, j:...
{ "pile_set_name": "DM Mathematics" }
.3, -0.2, -4/7? -0.2 Which is the nearest to -1/4? (a) -2/9 (b) -2/3 (c) -6/11 (d) -0.05 a Which is the closest to -2/9? (a) -20 (b) -2 (c) -0.2 (d) -5 c Which is the closest to 9? (a) 14/5 (b) -0.5 (c) 1 a What is the closest to -0.03 in 5, -4, 3/2, -0.3? -0.3 Which is the closest to 1? (a) -0.02 (b) 5 (...
{ "pile_set_name": "DM Mathematics" }
e 0 = -4*l - 3*a + 64, a = 5*a. Suppose -2*o + l = 5*f - 19, -o = -f. Suppose 18*d = 11*d + 280. What is the greatest common divisor of d and o? 5 Let g(s) = 2*s**3 - s**2 - 2*s - 1. Let d be g(-1). Let c be 4/d + 2 + 17. Let u be (-6)/(-4) + (-1515)/(-10). What is the highest common divisor of u and c? 17 Suppose 0 = ...
{ "pile_set_name": "DM Mathematics" }
sqrt(27) + sqrt(3) - sqrt(3) - (sqrt(3) - -1*(sqrt(3) + sqrt(12)))**2. -47 + 7*sqrt(3) Simplify 0 + sqrt(26)/sqrt(8) + -4. -4 + sqrt(13)/2 Simplify (sqrt(13) - -1*sqrt(637))*3 + -5. -5 + 24*sqrt(13) Simplify 2 + sqrt(228)/(sqrt(12)*-2). -sqrt(19)/2 + 2 Simplify 2 + sqrt(50) + sqrt(18)/(1*sqrt(9)) + sqrt(2). 2 + 7*sqrt...
{ "pile_set_name": "DM Mathematics" }
ppose 3*m + 4 = 19. Suppose 3*r + 18 = m*r. Let t = r - 6. Solve -2 = l - t*l for l. 1 Let q be (16/20)/(4/10). Solve 11 = q*z + 3 for z. 4 Let s be (-3)/9*-1 - (-150)/9. Suppose -o = 1 - 5. Solve -s - 3 = o*k for k. -5 Let o(d) = -d**3 - 3*d**2 + 2*d - 2. Let c be o(-4). Solve c = 4*j + 2 for j. 1 Suppose 23 - 6 = x. ...
{ "pile_set_name": "DM Mathematics" }
r b. -1 Solve 4*t - 6*m - 28 = -10*m, 8 = 2*t - m for t. 5 Solve 0 = -3*k - 161 + 164, 3*k = -5*y + 3 for y. 0 Solve 22 = -3*i + 12*j + 2*j, 0 = -j + 2 for i. 2 Solve -5*f + 4*k - 73 = -68, k - 10 = 3*f for f. -5 Solve 4*o = -h - 1 + 5, -4*h + 5*o + 16 = 0 for h. 4 Solve q - 2*w = 6, 0*w = q - 3*w - 10 for q. -2 Solve ...
{ "pile_set_name": "DM Mathematics" }
-2*d - f - 2 = 0. Suppose 4*v + 2 = 2*v - 4*n, -2*n + 11 = -3*v. Sort v, d, 4 in descending order. 4, d, v Suppose 0 = -4*y + y + 6. Let n be 21/(-6) + 2*2. Put y, n, -3 in ascending order. -3, n, y Let j = 3 - 2. Let x = -181 + 178. Sort -4, j, x in ascending order. -4, x, j Let j = 141 + -141. Let x be (-1)/(-2)*(-8)...
{ "pile_set_name": "DM Mathematics" }
*sqrt(7)/7 Simplify (-1*(sqrt(1152) + sqrt(2)) + -6*(sqrt(2) - (-3*sqrt(2) + sqrt(2))*-2))**2. 98 Simplify (sqrt(126)/(sqrt(90)/(sqrt(10)*-1)))/(((sqrt(144) + sqrt(144)*1)/sqrt(12))/sqrt(6)). -sqrt(7)/2 Simplify (4*(sqrt(13) + 1) + sqrt(26)/sqrt(2)*3)**2*4*-5. -13060 - 1120*sqrt(13) Simplify ((-1 + sqrt(99) + -2)**2 - ...
{ "pile_set_name": "DM Mathematics" }
t p? 2*p Let l(u) = 33*u**3 + 16*u**2 - 5*u + 2. Let f(t) = 49*t**3 + 24*t**2 - 8*t + 3. Let k(a) = 5*f(a) - 8*l(a). Find the third derivative of k(h) wrt h. -114 Let f be 2/(1 + (-3)/9). Let n = 8 - 4. Find the first derivative of f + 5*c**2 - 4*c**2 - n*c**2 wrt c. -6*c Suppose 0 = 5*z + 4*q - 22, -5*z + 0*q - 5*q = ...
{ "pile_set_name": "DM Mathematics" }
. Suppose -4*d = -4*c + 200, d = 2*c + 3*c - k. What is the remainder when c is divided by 19? 16 Suppose 22 = -4*d + 82. Calculate the remainder when d is divided by 10. 5 Suppose y + 2*y - 19 = 5*l, 5*y - 35 = 5*l. What is the remainder when y is divided by 3? 2 Let w = -36 + 54. Calculate the remainder when 34 is di...
{ "pile_set_name": "DM Mathematics" }
2 + 122 + 104 with respect to a. -10*a - 15 What is the third derivative of 14*d**3 + 6*d**3 + 72*d**2 + 5*d**3 wrt d? 150 What is the second derivative of -16355 - 450*z**5 + 16355 - 47*z + 271*z wrt z? -9000*z**3 Let l(a) = 48*a**3 - 4*a**2 - 3*a + 45. Let u(m) = 145*m**3 - 11*m**2 - 8*m + 134. Let o(y) = 11*l(y) - 4...
{ "pile_set_name": "DM Mathematics" }
e t(36). 963 Let p(n) = 183*n**2 + 1090*n - 43. What is p(-6)? 5 Let i(g) = g**3 - 27*g**2 + 50*g - 195. What is i(23)? -1161 Let v(j) = j**3 - 53*j**2 + 675*j + 428. Calculate v(21). 491 Let t(p) = -2*p**3 + 34*p**2 - 119*p + 15. What is t(5)? 20 Let x(u) = -36*u**3 + 168*u**2 + 759*u + 14. What is x(-4)? 1970 Let v(k...
{ "pile_set_name": "DM Mathematics" }
**4 - 28*w**3 - 8*w**2 + w Expand (-3 + 2 + 3)*(2 - 13 - 7)*(i - 2*i + 0*i)*(0*i + 0*i + i). 36*i**2 Expand (0*l - l - l)*(-l + 2*l + 0*l)*(-56 - 15 + 10)*(-2*l + 5*l - l)*(3 - 1 - 3). -244*l**3 Expand (0*c - 3*c + 5*c)*(1 - 4 + 4) - 1 + 1 + c + (10*c - 69*c - 41*c)*(0 - 2 + 3). -97*c Expand (4 - 3 - 3)*(j**4 - 2*j**4 ...
{ "pile_set_name": "DM Mathematics" }
olve -2*y + 3 = -i*f - 13, -y + 3*f = -16 for y. 4 Let x(i) = i**3 - 7*i**2 + i - 5. Let q(j) = j**3 + 12*j**2 + 9*j - 15. Let y be q(-11). Let a be x(y). Solve 0 = 2*k + 4*p + 14, k + 3*k - a*p - 2 = 0 for k. -1 Let j = -123 - -132. Suppose 13 = 2*s + 3*c, 3*c - j = -3*s + 6. Solve -2*n + 6 = b, -s = -6*b + 5*b - n fo...
{ "pile_set_name": "DM Mathematics" }
o + 114. Let x = o + 52. Suppose 0 = v - 15*v + x. Sort v, 4, 0, -1 in decreasing order. 4, v, 0, -1 Let o = 37/30 + -11/6. Let v = 4/47 + 348/329. Let r be (-3)/2*8/(-6). Sort r, v, o. o, v, r Suppose 17 + 15 = 16*c. Let b be (c - -1)*(7 - (-81)/(-12)). Put -4/5, -0.2, -4/11, b in decreasing order. b, -0.2, -4/11, -4/...
{ "pile_set_name": "DM Mathematics" }
Let l(m) = 311*m**3 - m**2 - 2*m. Let g(n) = 931*n**3 - 3*n**2 - 7*n. Determine 4*g(i) - 13*l(i). -319*i**3 + i**2 - 2*i Let m(x) be the third derivative of -x**5/12 + x**4/24 - x**3/2 - 128*x**2 - 1. Let c(a) = 14*a**2 - 3*a + 9. Calculate 3*c(i) + 8*m(i). 2*i**2 - i + 3 Let y(c) = 12*c + 7. Let l(f) be the third deri...
{ "pile_set_name": "DM Mathematics" }
divided by 43140. 95 What is the remainder when 7278342 is divided by 485222? 12 What is the remainder when 13295384 is divided by 1661921? 16 Calculate the remainder when 6665234 is divided by 635. 274 Calculate the remainder when 36120 is divided by 11661. 1137 What is the remainder when 1544973 is divided by 15765? ...
{ "pile_set_name": "DM Mathematics" }
k**3 - 4*k**2. Let h be c(-3). What is the remainder when 143 is divided by 1*h/(2/(-1))? 35 Suppose -i + 15 - 2 = 0. What is the remainder when 30 is divided by i? 4 Let u(x) = -x**3 + 8*x**2 + 12*x - 21. Let p be u(9). Suppose 4*z - p*w = -w + 90, -2*w = z - 16. Calculate the remainder when 36 is divided by z. 16 Let...
{ "pile_set_name": "DM Mathematics" }
51, 67, 83? 16*q + 19 What is the l'th term of -34, -36, -38, -40? -2*l - 32 What is the z'th term of -76, -151, -224, -295, -364? z**2 - 78*z + 1 What is the l'th term of -64, 31, 296, 815, 1672, 2951? 14*l**3 + l**2 - 6*l - 73 What is the t'th term of 32, 36, 30, 8, -36, -108, -214? -t**3 + t**2 + 8*t + 24 What is th...
{ "pile_set_name": "DM Mathematics" }
r. s, x, 8 Let k = 153 + -167.4. Let j = -0.34 - -14.34. Let d = k + j. Sort 0.1, -0.2, d in ascending order. d, -0.2, 0.1 Let c = -4.21 + 4.2. Let f = -0.19 - -0.5. Let j = f + c. Put j, -2/9, -3 in descending order. j, -2/9, -3 Let p be (-2)/(-10)*650/(-455). Sort 4, 2/11, -4/7, p in descending order. 4, 2/11, p, -4/...
{ "pile_set_name": "DM Mathematics" }
e 0 = -2*k + 4*f + t, -k - 57 = -5*k - 3*f. Let n = 437 - k. Is n prime? True Suppose -26*x + 139539 = -158603. Is x a prime number? True Suppose -34 = 5*s - 49. Let p(a) = 5*a**3 + 2*a + 8. Is p(s) a composite number? False Let u(s) = 5*s**3 + 28*s**2 + 86*s - 46. Is u(23) a composite number? True Let m be 6/10 + (-41...
{ "pile_set_name": "DM Mathematics" }
6*s - 572 + 1642. Calculate o(s). 0 Let m(k) be the third derivative of 2*k**2 - 1/60*k**5 + 0*k + 5/24*k**4 + 2*k**3 + 103. Calculate m(9). -24 Let v be 2/(-3 + 114/30)*(6 + -2). Let i(w) = -w**3 + 9*w**2 + 3*w + 67. Give i(v). -3 Let v(f) = 3*f + 1. Let n be (20/15 + -1)/((-3)/(-81)). Let i(t) = -22 - 2*t + n*t - 5*t...
{ "pile_set_name": "DM Mathematics" }
*j + 5. Let z(u) = 4*p(u) - 3*q(u). List the prime factors of z(-4). 3, 11 Let c be (-20)/((14/(-4))/(-7)). Let q be ((-32)/(-10))/((-8)/c). Suppose t = 3*u - 2*u + q, 5*t + u - 68 = 0. List the prime factors of t. 2, 7 Let b be ((-2)/2)/((-2)/34). Let a = b - 7. List the prime factors of a. 2, 5 Suppose -44 = -3*p + 4...
{ "pile_set_name": "DM Mathematics" }
third root of 5717 to the nearest integer? 18 What is the tenth root of 3132 to the nearest integer? 2 What is the cube root of 7052 to the nearest integer? 19 What is the fourth root of 13151 to the nearest integer? 11 What is 203 to the power of 1/2, to the nearest integer? 14 What is 4452 to the power of 1/6, to th...
{ "pile_set_name": "DM Mathematics" }
t c be (3/m)/((9/3)/(-30)). Let q(a) = a**3 + 4*a**2 - 3*a + 15. Let b be q(c). Solve 18 + 2 = -b*p for p. -4 Let a(z) = z**3 - z**2 + z + 1. Let j(d) = -3*d**3 + 5*d**2 + 7*d - 24. Let y(p) = -2*a(p) - j(p). Let h be y(4). Solve 2*u = 3*u + h for u. -2 Let j = -1678 + 1737. Solve -68*o = -j*o + 72 for o. -8 Let a(s) =...
{ "pile_set_name": "DM Mathematics" }
of a millimeter? 100 What is 108101.5 nanograms in milligrams? 0.1081015 How many tonnes are there in 1.787151 milligrams? 0.000000001787151 How many millimeters are there in 564.91m? 564910 How many litres are there in 890.229 millilitres? 0.890229 How many meters are there in 837683.7mm? 837.6837 How many millimeters...
{ "pile_set_name": "DM Mathematics" }
+ 2*x, -4*n + 28 = -4*x. Let p(y) = -u + n + 9 + 11 - 2*y. Give p(10). -6 Let j(y) = 43 + 9*y - 2815*y**2 + 8*y + y + 2811*y**2. Give j(6). 7 Let d = -995 - -998. Suppose -d*z = 155 - 170. Let o(s) = s**3 - 7*s**2 + 10*s + 3. Calculate o(z). 3 Let p be (244/12 + -19)*(-3)/2. Let d(s) = -23*s - 1. What is d(p)? 45 Let o...
{ "pile_set_name": "DM Mathematics" }
29.6 25250 * -1131 -28557750 0.4*4473259 1789303.6 -0.11160328*13 -1.45084264 Multiply -15340140 and 3. -46020420 What is -6 times 62420083? -374520498 What is the product of -5 and 52483.73? -262418.65 What is 6046292 times 0.13? 786017.96 Calculate 6*-393140. -2358840 What is 0.18 times 22137279? 3984710.22 What is t...
{ "pile_set_name": "DM Mathematics" }
2. Let h be x(6). Suppose -3*l - 2*l = -h*z + 17, 3*l = -3*z + 36. List the prime factors of z. 11 Suppose -4*u + 24 = -12. Suppose 2*w - 5*r = 21, 3*w = 3*r + u + 18. What are the prime factors of w? 2 Suppose 0 = 3*s - 15, 0 = 5*d - 0*d - s - 50. List the prime factors of d. 11 Suppose -3 = l + 13. What are the prime...
{ "pile_set_name": "DM Mathematics" }
inutes are there between 7:40 PM and 1:11 AM? 331 How many minutes are there between 9:19 AM and 11:26 AM? 127 What is 320 minutes before 11:43 AM? 6:23 AM What is 59 minutes before 2:29 AM? 1:30 AM What is 480 minutes after 4:44 AM? 12:44 PM How many minutes are there between 5:48 PM and 6:28 PM? 40 How many minutes a...
{ "pile_set_name": "DM Mathematics" }
g(a) = 178*a - 65*a - 4*a**2 + 9*a**2 - 116*a. Let y(m) = -44*m**2 + 28*m. Give 28*g(o) + 3*y(o). 8*o**2 Suppose -23*w + 61 = 3*w - 43. Let n(d) = 12*d**3 - 3*d**2 - 5*d - 4. Let g(s) = 13*s**3 - 4*s**2 - 6*s - 5. Give w*g(k) - 5*n(k). -8*k**3 - k**2 + k Let l be (10/4)/(1/2) - -15. Let y(b) = -l - 2 + 15 + 4*b. Let u...
{ "pile_set_name": "DM Mathematics" }
9 421 What is -23e8 (base 15) in base 3? -101111002 2487 (base 9) to base 16 745 Convert 1010 (base 4) to base 13. 53 What is 2222 (base 7) in base 5? 11200 What is 43123 (base 5) in base 3? 10222220 -145553 (base 6) to base 15 -4353 162a (base 15) to base 9 6474 1432342 (base 5) to base 7 154322 Convert -2053 (base 8)...
{ "pile_set_name": "DM Mathematics" }
r of w? False Let x = -79 - -118. Is x a multiple of 7? False Is (41 + -1)*2/1 a multiple of 8? True Suppose -4*a = -2*a - 330. Does 23 divide a? False Let f = -5 + 7. Suppose -3*r - 5*m = -8*r + 55, -2*m = f. Is 10 a factor of r? True Let j(s) = -2*s**3 - 4*s**2 + 2*s. Does 7 divide j(-4)? True Let m(n) = -6*n - 18. L...
{ "pile_set_name": "DM Mathematics" }
80*b*x**2 - 312*x Differentiate -141124*w**2 - 99748 with respect to w. -282248*w What is the second derivative of 8304*a**2*x**3 + 14*a**2*x**2 + 2*a**2*x + 178680*a*x + 2*x**3 wrt x? 49824*a**2*x + 28*a**2 + 12*x What is the second derivative of 170899*h**2*k**2 - 199746*h**2*k wrt k? 341798*h**2 What is the derivati...
{ "pile_set_name": "DM Mathematics" }
3039 What is the o'th term of -194572, -389150, -583728, -778306? -194578*o + 6 What is the m'th term of -33500, -266291, -898144, -2128589, -4157156, -7183375, -11406776? -33255*m**3 - m**2 - 3*m - 241 What is the j'th term of -7346724, -14693452, -22040184, -29386920? -2*j**2 - 7346722*j What is the x'th term of 3067...
{ "pile_set_name": "DM Mathematics" }
four letters picked without replacement from qjjqpqjqjbjqjjjq? 2/65 What is prob of picking 1 p and 2 c when three letters picked without replacement from {c: 2, p: 8, r: 5}? 8/455 Three letters picked without replacement from {n: 2, w: 1, k: 1, g: 4}. What is prob of picking 2 g and 1 n? 3/14 Calculate prob of picking...
{ "pile_set_name": "DM Mathematics" }
rob of sequence sgo. 1/570 Calculate prob of sequence ff when two letters picked without replacement from fffifffffifff. 55/78 Two letters picked without replacement from {d: 4, u: 2, a: 10, r: 1}. Give prob of sequence dr. 1/68 Calculate prob of sequence zrs when three letters picked without replacement from {r: 3, z:...
{ "pile_set_name": "DM Mathematics" }
+ 1 + 0 - 3 + 3 - 5 + 0 + 1 + 1)*(2*x**2 - x**2 + 2*x**2). 972*x**4 Expand 4 + x**4 + 1 - 3 + 29*x**4 - 27*x**4 + 59*x**4 - 16*x**3 + 16*x**3 + 18*x**4 + (-x**2 + 1 - 1)*(-3*x**2 + 4*x**2 - 3*x**2). 82*x**4 + 2 Expand ((-2 + 4 + 0)*(-k - 2*k + 5*k) + (-13 - 25 - 13)*(k - 3*k - 2*k))*(31 - 31 + 80*k). 16640*k**2 Expand ...
{ "pile_set_name": "DM Mathematics" }
. 14 Let t(l) be the first derivative of 2*l**3 - 5*l**2/2 - 9*l - 9520. Calculate t(-2). 25 Suppose 4 = 3*w - w + 3*h, -w - 5*h = -2. Let s(t) be the first derivative of -5*t**3/3 + 2*t**2 - 3*t - 5240. Give s(w). -15 Let o = 39 + 43. Let l(k) = 81*k**2 - o*k**2 + 2*k - 4 + 19*k**3 - 18*k**3. Calculate l(3). 20 Let b(...
{ "pile_set_name": "DM Mathematics" }
45*p - 6, t*l - 13 = -5*p for l. 1 Let v = -2 - -7. Let b(r) = -r**3 - 41*r**2 - 40*r + 5. Let j = -126 + 86. Let h be b(j). Solve -v*x = -h, -x + 2 = -4*o - 19 for o. -5 Suppose -28*g = -510 + 62. Suppose 0 = -9*u + g + 83. Solve 12 = -s - 2*n, 3*s - 5*n - u = 8 for s. -2 Let c be 2/(-1*(-1 + 0)*-1). Let o be (1 + c)/...
{ "pile_set_name": "DM Mathematics" }
84)/7*(-15)/((-180)/8)? -8 What is ((-9)/12)/(3/(-4)*-2)? -1/2 Calculate (((-36)/16)/3)/(105/60). -3/7 Evaluate (((-36)/9)/((-1)/2))/2. 4 What is the value of ((-10)/3)/((-405)/486)? 4 What is (-3)/4*(-8)/(20/10)? 3 What is (3/(-2))/(5*(-12)/160)? 4 Calculate -1*3*2/(-42). 1/7 What is the value of 7/((-21)/(-2))*15/(-5...
{ "pile_set_name": "DM Mathematics" }
/(v**(4/13)/v) assuming v is positive. v**(554/143) Simplify (j**(1/5)/j)/j*j*j**(-4)*j*j**(-2/3)*(j/j**(2/9))/j assuming j is positive. j**(-211/45) Simplify (i**(1/2))**(-9)/((i/i**6)/(i**(5/2)*i)) assuming i is positive. i**4 Simplify (((r*r*r/(r**6*r))/r)/r)**39 assuming r is positive. r**(-234) Simplify ((y**(-1)*...
{ "pile_set_name": "DM Mathematics" }
h term of -433, -388, -331, -274, -229, -208, -223? -2*b**3 + 18*b**2 + 5*b - 454 What is the b'th term of -3118, -3468, -4052, -4870? -117*b**2 + b - 3002 What is the r'th term of -1027, -1370, -1713? -343*r - 684 What is the t'th term of -8487, -8506, -8525, -8550, -8587? -t**3 + 6*t**2 - 30*t - 8462 What is the r'th...
{ "pile_set_name": "DM Mathematics" }
9*b - 18 = 0. What is the units digit of s(b)? 6 Let a(o) = -4*o + 13. Let l be a(2). Suppose l*y = 4*y + 1. What is the units digit of ((-54)/24)/(y/(-52))? 7 Let i be 1*((-32)/4*1 + 1). What is the tens digit of 2/i + 118650/245? 8 Let j(l) = 5*l + 2. Let r be j(7). Suppose -a + 3*a - 386 = -5*w, 392 = 5*w + 4*a. Sup...
{ "pile_set_name": "DM Mathematics" }
ue Let a(k) = 8*k**2 - 17*k + 7. Let d = 1 - -10. Let i be a(d). Is 6/33 + i/22 a multiple of 14? False Suppose 71 = 4*n - 61. Let t = n + -23. Suppose -t*b + 7*b + 78 = 0. Is b a multiple of 13? True Suppose -4*h + 614 - 5166 = -3*v, 5*h - 6090 = -4*v. Does 16 divide v? True Suppose -4*u = -67 - 9. Let s = u + -12. Su...
{ "pile_set_name": "DM Mathematics" }