text
stringlengths
270
8.19k
meta
dict
5, 1 in increasing order. 1, 4, 5, 6, 8 Put -1417, -4, 2, 0, -1 in descending order. 2, 0, -1, -4, -1417 Sort -13, -92, 0, -19. -92, -19, -13, 0 Sort 0.4145, 1/5, 4, 2/3 in increasing order. 1/5, 0.4145, 2/3, 4 Put -29/16, 16, 6, 5 in descending order. 16, 6, 5, -29/16 Sort 449, 54, -11. -11, 54, 449 Put -3, 0.5, 1, -4...
{ "pile_set_name": "DM Mathematics" }
d 13/1280? 8960 Calculate the smallest common multiple of 701 and 5. 3505 What is the common denominator of 92/225 and -54/25? 225 What is the least common multiple of 48 and 288? 288 What is the common denominator of -33/68 and 79/2? 68 What is the lowest common multiple of 55 and 22? 110 Find the common denominator o...
{ "pile_set_name": "DM Mathematics" }
105 + -104. Let f(u) = k*i(u) + 4*g(u). Find the second derivative of f(v) wrt v. 216 Let y(o) = -o**3 - 2*o**2 - o - 13. Let h(x) = -x**3 + x**2 - 42*x - 6523. Let z(f) = -h(f) - 2*y(f). What is the first derivative of z(d) wrt d? 9*d**2 + 6*d + 44 Find the third derivative of -162*c**5 - 10*c**6 + 20*c**6 + 425*c**2 ...
{ "pile_set_name": "DM Mathematics" }
4 Let h(i) = 112*i + 1586. What is h(-49)? -3902 Let n(o) = o**2 + 81*o + 1418. Determine n(-50). -132 Let u(g) = 3*g**3 - 149*g**2 + 260*g - 144. Give u(48). 816 Let m(d) = d**3 - 120*d**2 + 1009*d + 10003. Determine m(110). -7 Let y(r) = -r**3 - 89*r**2 - 566*r + 3214. What is y(-11)? 2 Let h(v) = -3*v**2 + 36531*v -...
{ "pile_set_name": "DM Mathematics" }
q(h) composite? False Suppose 0 = -5*n + 15, 5*n + 18269 = 4*j - 16320. Is j a composite number? True Let x(n) = 3*n**2 - 12*n - 14. Let r be 10 - (18/(-12) + 2/(-4)). Is x(r) a prime number? False Let d(u) = 320*u - 227. Is d(8) prime? True Suppose -7*y - 35 = -2*y. Let i be y/((-28)/5624) - 2. Let k = -961 + i. Is k...
{ "pile_set_name": "DM Mathematics" }
the value of (-184)/(-150696)*126*39/(-102)? -1/17 Evaluate (-18)/496*33120/6210. -6/31 6/(-45 - (-5688)/120) 5/2 (-190)/(-6) + 1224/(-36) -7/3 What is the value of 5487/(-5022) - (260/(-135) - -2)? -7/6 (1083/(-38))/((96/448)/((-4)/(-42))) -38/3 What is the value of 66/(-11)*41/(-82)? 3 Calculate ((-89910)/648 + 207)...
{ "pile_set_name": "DM Mathematics" }
is the first derivative of -116424*c**3*t**2 + 165*c**3 + 2*c - t**2 - 257 wrt t? -232848*c**3*t - 2*t What is the first derivative of 479751*c*f + 1340433*f wrt c? 479751*f What is the third derivative of -f*q**4 + 4*f*q**2 - 2*f*q + 91063*f + 88423*q**4 + 9*q**3 + q wrt q? -24*f*q + 2122152*q + 54 Find the first der...
{ "pile_set_name": "DM Mathematics" }
+ -3. Let x = -118.5 + 119. Let l = -131/4 - -33. Which is the second smallest value? (a) l (b) x (c) m a Let x = -5.6 + 5.8. Which is the second biggest value? (a) x (b) 17 (c) -2 a Let c = 49 + -64. What is the third biggest value in c, -0.4, 1? c Let w = -12.2 - -0.2. Let n = -10 - w. Which is the second small...
{ "pile_set_name": "DM Mathematics" }
e j and z equal? False Suppose c - 4*o + 23 = 0, 2*c - c - 12 = -3*o. Let t be ((-5)/(-2))/(c/2). Is t bigger than -1? False Let l(a) = a**3 - 2*a**2 - a - 3. Let t be l(3). Suppose -t*s = -s - 4. Let p(h) = h - 1. Let f be p(2). Which is greater: s or f? s Let s be ((-15)/2)/(2/(-4)). Suppose 0*u - 5*u + s = 0. Which ...
{ "pile_set_name": "DM Mathematics" }
-4)/20*-5 - 1488/312? 3/13 Evaluate (-77)/21*(-160)/880. 2/3 What is ((-2)/(-21)*-3)/((-4)/(-7))? -1/2 Evaluate (198/216)/((-140)/(-336)). 11/5 Evaluate 6 - ((-20 - -11) + 21). -6 Calculate -207 - -221 - 16*1. -2 What is the value of 4/6 + -2 - 6*(-87)/(-54)? -11 Evaluate (-17)/(-85) - 336/(-9)*3/(-10). -11 What is 15*...
{ "pile_set_name": "DM Mathematics" }
b) = -5296*b**3 + 928*b**2 + 49*b. Let g(v) = 2118*v**3 - 371*v**2 - 20*v. Let n(u) = 12*g(u) + 5*r(u). What is the third derivative of n(z) wrt z? -6384 Find the second derivative of -436*x + 106*x + 596*x**5 - 639*x wrt x. 11920*x**3 Let v(z) be the third derivative of 221*z**7/210 - z**5/30 - z**4/4 - 77*z**3/6 + 50...
{ "pile_set_name": "DM Mathematics" }
of n? 1 Let m = 60 + -56. What is the units digit of m/12 - -107*1/3? 6 Let s = -145 + 857. What is the units digit of s? 2 Let r be (-11)/(-2) - 1/2. Let s(k) = -k**3 + 6*k**2 + 3*k + 8. Let n be s(r). Let j = 80 - n. What is the tens digit of j? 3 Suppose 3*z - m + 1177 = 297, -5*z - 1448 = 3*m. Let n be z/(-4) - (4 ...
{ "pile_set_name": "DM Mathematics" }
1 What is the c'th term of 17781, 35636, 53471, 71280, 89057, 106796? -c**3 - 4*c**2 + 17874*c - 88 What is the a'th term of 37689, 74311, 110933? 36622*a + 1067 What is the w'th term of -155379, -155493, -155605, -155715, -155823, -155929, -156033? w**2 - 117*w - 155263 What is the d'th term of -2033, 1106, 4249, 7396...
{ "pile_set_name": "DM Mathematics" }
f f and j. 44 Let o = 59728 - 615191/10. Suppose 10*j + 8935 = 5*j. Let v = o - j. Calculate the common denominator of v and 17/3. 30 Let d = 344/53 - -2285/636. What is the common denominator of (-18)/16 - -2*1 and d? 24 What is the smallest common multiple of (3/(-3))/(-1*4/24) and 10? 30 Let b(w) = -w**2 - 6*w + 3. ...
{ "pile_set_name": "DM Mathematics" }
mon divisor of k and q. 10 Let o(n) = -9*n + 6. Let d be o(-6). Suppose c - 3*c = -82. Let k = -29 + c. Calculate the greatest common factor of d and k. 12 Let c be 0 - (-48)/(2 + 1). Let f = 4 + c. What is the highest common divisor of f and 8? 4 Suppose -3*x + 2*k = -42, -7*x + 2*x + 48 = 4*k. What is the highest com...
{ "pile_set_name": "DM Mathematics" }
is -7*t(m) - 6*y(m)? -m**3 - 3*m Let y(m) = 3*m**2 - 3*m + 2. Let s(w) = w**2 - 3*w + 1. Determine 3*s(v) - 2*y(v). -3*v**2 - 3*v - 1 Let i(u) = -6*u**3 + u**2 + u - 3. Let w(l) = 7*l**3 - 2*l**2 - 2*l + 4. What is 4*i(c) + 3*w(c)? -3*c**3 - 2*c**2 - 2*c Let i(l) = -10*l**2 - 8*l - 136. Let b(h) = 8*h**2 + 7*h + 138. W...
{ "pile_set_name": "DM Mathematics" }
*n**2 + u*n + w + q*n**3 and give c. -34 Express -500*q + 111*q - 669*q - 650*q as c + g*q and give g. -1708 Express (-7*t**2 + t**2 - 12*t**2)*(-2*t - 15*t + 0*t) in the form j*t**3 + y + f*t + x*t**2 and give j. 306 Express 71*t - 17*t - 55*t + 395 in the form j + w*t and give j. 395 Rearrange -5*x**2 - 8*x**2 - 11*x...
{ "pile_set_name": "DM Mathematics" }
n litres? 0.7703922 What is one tenth of a kilogram in milligrams? 100000 How many years are there in 898755.7 decades? 8987557 Convert 427.8808 meters to nanometers. 427880800000 What is 216.226 litres in millilitres? 216226 What is twenty-six fifths of a decade in months? 624 What is 0.8927658l in millilitres? 892.76...
{ "pile_set_name": "DM Mathematics" }
f/(f**(2/5)/f)*f))/((f*(f/f**(-2/29))/f)/(f*f/((f**8/f)/f*f*f)))**44 assuming f is positive. f**(-553699/1740) Simplify (((f*f*f/(f*(f*f/((f*f*f/(f**(-1)/f)*f*f)/f))/f*f)*f*f)/f)**(13/3)/((f/(f**(1/3)*f))/(f*f*f**(2/13)*f)))/(f**0/f**(7/4))**(-7) assuming f is positive. f**(3365/156) Simplify (a/((a*a*a**(-8)*a)/a)*a**...
{ "pile_set_name": "DM Mathematics" }
17478300 What is 23230332.9 nanoseconds in days? 0.00000026886959375 How many millilitres are there in one quarter of a litre? 250 How many millennia are there in 3333.929 years? 3.333929 How many months are there in 43/4 of a century? 12900 How many microseconds are there in 5/8 of a millisecond? 625 How many minutes ...
{ "pile_set_name": "DM Mathematics" }
and 101/1170? 9360 What is the least common multiple of 81 and 63? 567 Calculate the least common multiple of 160 and 44. 1760 What is the least common multiple of 702 and 2574? 7722 What is the lowest common multiple of 888 and 444? 888 Calculate the common denominator of 7/18 and -32/1299. 7794 Calculate the smallest...
{ "pile_set_name": "DM Mathematics" }
86/19 or v? 386/19 Let f = -57 - -59. Let a be 483/9 - f/9*3. Are a and 52 nonequal? True Let w be ((11 - 1)/(-2))/(-5)*-4. Let o(p) = 2*p**3 + 6*p**2 - 5*p - 7. Let s be o(w). Is s greater than or equal to -136/7? True Let l be (-40880)/(-77) + 8/88. Is 530 at most as big as l? True Let n be (2/412*2)/(53/106). Let d ...
{ "pile_set_name": "DM Mathematics" }
12 (e) 8 a What is the nearest to 1/3 in -7, -131, 0.2, -2? 0.2 What is the closest to 0 in -0.4, -2/81, -33? -2/81 Which is the closest to 1? (a) 5 (b) -21 (c) 3 (d) -957 c Which is the closest to 1/3? (a) 3 (b) -53 (c) -2/9 (d) -0.3 (e) -3 c What is the closest to 57 in 2/5, 2/3, 2/57, -2/9, -3? 2/3 Which ...
{ "pile_set_name": "DM Mathematics" }
s smaller: 38466 or 38447? 38447 Is 1015 greater than or equal to -0.004? True Is -499/774 > -2? True Is 1 smaller than 54/12859? False Are 77 and 0.0205 unequal? True Is 727256 != 727254? True Which is greater: -81 or -12531/157? -12531/157 Do -1710 and -1719 have the same value? False Is -2 less than 16/707? True Whi...
{ "pile_set_name": "DM Mathematics" }
-1013? 11201 In base 9, what is -836213 + -3? -836216 In base 14, what is -d8749 + -4? -d874d In base 2, what is 100001101010110 - 10010110? 100001011000000 In base 12, what is -3 - 233? -236 In base 6, what is 1011012 + 155? 1011211 In base 6, what is 4001 + -114? 3443 In base 10, what is -1104 + -14? -1118 In base 4...
{ "pile_set_name": "DM Mathematics" }
2, 5, 7, 23, 31, 701 What are the prime factors of 129009238? 2, 89, 179, 4049 List the prime factors of 62207079. 3, 11, 283, 6661 List the prime factors of 285946943. 89, 149, 21563 List the prime factors of 38608977. 3, 11, 701, 1669 List the prime factors of 151908719. 17, 2707, 3301 List the prime factors of 89686...
{ "pile_set_name": "DM Mathematics" }
fferentiate 0 + 3 + 5*a**m - 3*a**2 with respect to a. 4*a Let h(g) = -g**3 - g**2 - g - 1. Let c(z) = 10*z**3 + 6*z**2 + 6*z - 8. Let a(r) = -c(r) - 6*h(r). What is the first derivative of a(i) wrt i? -12*i**2 Find the third derivative of -12*v**3 + 0*v**2 + 9 - 9 - 13*v**2 wrt v. -72 Suppose 3*y + 2*a - 9 = 0, 3*a + ...
{ "pile_set_name": "DM Mathematics" }
1. -2*(o - 46459)*(o + 731)/11 Solve q**2 - 190306*q - 1141872 = 0. -6, 190312 Let 2*q**5/13 - 21510*q**4/13 + 772146*q**3/13 - 4052330*q**2/13 + 5874252*q/13 - 2572560/13 = 0. What is q? 1, 4, 30, 10719 Find k such that 7*k**3/5 - 42613*k**2/5 + 340456*k/5 = 0. 0, 8, 42557/7 Find n such that -5*n**3 - 1403700*n**2 - 9...
{ "pile_set_name": "DM Mathematics" }
t is 3c50a + 1860? 3dd6a In base 10, what is 45584 - -58? 45642 In base 15, what is 12ab1a - 0? 12ab1a In base 16, what is -3af8 - -113a? -29be In base 8, what is -10702 - 16642? -27544 In base 8, what is 11333722 + 232? 11334154 In base 7, what is -121120624 + 0? -121120624 In base 9, what is -7 + -330245? -330253 In ...
{ "pile_set_name": "DM Mathematics" }
9 What are the prime factors of 128058699? 3, 2161, 19753 List the prime factors of 296578362. 2, 3, 17, 2907631 What are the prime factors of 521515164? 2, 3, 71, 612107 List the prime factors of 57733916. 2, 2477, 5827 List the prime factors of 3974384854. 2, 11, 180653857 What are the prime factors of 720883966? 2, ...
{ "pile_set_name": "DM Mathematics" }
695972? 2215134 What is next in -29062, -58096, -87104, -116086, -145042, -173972, -202876? -231754 What is the next term in -863279124, -863279125, -863279126, -863279127? -863279128 What is the next term in -5410, -30465, -98470, -230899, -449226, -774925, -1229470, -1834335? -2610994 What comes next: 1496286, 299271...
{ "pile_set_name": "DM Mathematics" }
+ 5. Let h be l(5). Let u be (-1)/((-1)/3 - 0). Let t(j) = -h*j**2 - 5*j + j + u*j. Determine t(-1). -4 Let s = 10 - 13. Let t(h) = h**3 + 2*h**2 - 4*h. Determine t(s). 3 Let r = -7 + 12. Let k(d) = -d - 5. Let b(u) = u + 4. Let n(s) = 4*b(s) + 3*k(s). Calculate n(r). 6 Let b(u) = -u**2 + 6*u - 3. Let j(m) = -m**3 + 6*...
{ "pile_set_name": "DM Mathematics" }
, to the nearest integer? 2773 What is 2265360 to the power of 1/7, to the nearest integer? 8 What is 402826 to the power of 1/2, to the nearest integer? 635 What is the third root of 647934 to the nearest integer? 87 What is 5546560 to the power of 1/3, to the nearest integer? 177 What is the seventh root of 24953891 ...
{ "pile_set_name": "DM Mathematics" }
ided by -3665 -150 617084 divided by 23734 26 6364353 divided by 3 2121451 Divide 5 by 16597. 5/16597 Divide 0 by -46999. 0 Divide 1262430 by -252486. -5 46 divided by 1164 23/582 Divide -1600 by 800. -2 What is -80 divided by 265? -16/53 Calculate -102 divided by 2182. -51/1091 -1649 divided by -96 1649/96 What is 0 d...
{ "pile_set_name": "DM Mathematics" }
3 + 2 - 6 + 3*s**x wrt s? 6*s Let o(j) be the second derivative of 7*j**4/6 - 4*j**3/3 + 8*j. Find the second derivative of o(h) wrt h. 28 What is the derivative of -9*t - 16*t + 10*t - 36 wrt t? -15 Let a(d) be the third derivative of 0 + 0*d - 1/30*d**5 + 0*d**4 - 1/60*d**6 + 2*d**2 + 0*d**3. What is the third deriva...
{ "pile_set_name": "DM Mathematics" }
96106 How many months are there in 37/2 of a year? 222 What is 650.292 decades in centuries? 65.0292 What is 6575.261 minutes in seconds? 394515.66 What is 2911.73m in centimeters? 291173 Convert 786634.2ng to grams. 0.0007866342 Convert 401381.4nm to micrometers. 401.3814 How many micrograms are there in twenty-one ha...
{ "pile_set_name": "DM Mathematics" }
**2 - 5*s + 4. Let x be b(y). Solve -5*r - 4*q = 13, -r - 3*r - 4*q - 12 = x for r. -1 Suppose 4*u + 28 = 2*l, 6*l - 5*u = 2*l + 41. Solve 2*v - l = -2*o + 3*o, 0 = -4*o for v. 2 Let b be 4/6 - 14/21. Suppose 0 = -b*q + 2*q. Solve q = -2*z - 5*j + 4, -3*z + 0*j - 2*j = -6 for z. 2 Suppose 4*s + 5*g = 42 - 9, 0 = 2*s + ...
{ "pile_set_name": "DM Mathematics" }
-4*t**2 Let z(p) = -p + 2. Let j(w) = 37*w + 2 - 1 - 38*w. Let y(u) = 4*j(u) - 2*z(u). Let t(l) = -7 + 7 - 15*l. What is y(t(v))? 30*v Let h(z) be the second derivative of 17*z**3 - 231*z. Let k(m) = 4*m**2. Give k(h(i)). 41616*i**2 Let w(d) be the first derivative of 7*d**4/24 + d**2/2 - 4. Let k(u) be the second der...
{ "pile_set_name": "DM Mathematics" }
What is 846543 to the power of 1/3, to the nearest integer? 95 What is 4919533 to the power of 1/6, to the nearest integer? 13 What is the fifth root of 3189746 to the nearest integer? 20 What is the fourth root of 58077 to the nearest integer? 16 What is 172931 to the power of 1/7, to the nearest integer? 6 What is th...
{ "pile_set_name": "DM Mathematics" }
+ 7723. What is the remainder when n is divided by (29/(-2))/((-1)/2)? 7 Suppose 2*g - 4*y - 168 = 0, 5*y - 149 - 81 = -3*g. Suppose -c = -4*u + c + g, -3*c = 0. What is the remainder when 31 is divided by u? 11 Let b be (-1)/5 + 1272/60. Calculate the remainder when 132 is divided by 6 - -3 - 14 - -2*b. 21 Let y = -23...
{ "pile_set_name": "DM Mathematics" }
(-2 - 16 + 2) as k*y + i and give k. -560 Rearrange ((3 - 3*n - 3)*(3*n - n + 0*n) + 6 - 6 + n**2)*((2*n + 2 - 2)*(15 + 10 + 11) + 3 - 3 + 12*n) to the form j*n + t*n**2 + o + b*n**3 and give b. -420 Rearrange 524*b - 385*b - 139*b + 2*b**3 - b**3 - 2 - 1072*b**2 to z*b**2 + k + s*b**3 + n*b and give k. -2 Express 6251...
{ "pile_set_name": "DM Mathematics" }
. -152*h**4 - 152*h**3 Expand (16*r**2 - 3*r**2 - r**2)*(62*r + 7 - 3 - 60*r). 24*r**3 + 48*r**2 Expand 4*y**5 + 10 - 11*y**5 + 6*y**5 + 3*y**5 + 0*y + 0*y + (-4*y**2 - y**2 + 4*y**2)*(-y + y - 2*y**3) + 3*y**5 - 3*y**5 - 2*y**5. 2*y**5 + 10 Expand (-3 - 2*z + 3)*(-292 - 6*z + 128 - 2*z**2 + 148). 4*z**3 + 12*z**2 + 32...
{ "pile_set_name": "DM Mathematics" }
5*d + z for l. 5 Let w(b) = 11*b - 4. Let j be w(1). Solve 3*d - 18 = 4*a + j, -5*a = 20 for d. 3 Suppose 5*h - 17 = i, 0 = 3*i - i - 6. Solve 3*v - 27 = 3*a, 4*v - 3*v - 24 = h*a for v. 4 Suppose 0 = 3*c - 3*y - 6, 0 = -4*y - 1 + 21. Suppose 3 = 4*i + x, 2*i - 3*x = c*i + 5. Solve 0 = i*r - 3*b - 18, 5*b - 2 + 34 = 4*...
{ "pile_set_name": "DM Mathematics" }
p + (-3 - -1). Suppose 3*k + 10 = -3*w + 73, -4*k = w - b. Is 11 a factor of w? True Suppose -g + 72 = -23. Is 21 a factor of g? False Suppose w = 5*w - 76. Is 19 a factor of w? True Is 17 a factor of (-12)/21 + (-4)/((-56)/3102)? True Is (-5 + 2 - -7) + 152 a multiple of 12? True Let n be 4/(-10) - (-434)/35. Suppose...
{ "pile_set_name": "DM Mathematics" }
1017300 rounded to the nearest ten thousand? 1020000 Round 0.0011664 to 5 dps. 0.00117 What is 0.01822 rounded to three decimal places? 0.018 What is -966500 rounded to the nearest 10000? -970000 Round 0.05572 to 2 dps. 0.06 What is -7.081 rounded to 0 decimal places? -7 Round -0.0000013 to seven decimal places. -0.000...
{ "pile_set_name": "DM Mathematics" }
ulate 8433459 divided by -13323. -633 59545 divided by 199 59545/199 -652420559 divided by 2 -652420559/2 -430 divided by 3653 -430/3653 26748517 divided by -53 -504689 Divide 1139 by 254984. 1139/254984 Calculate -22302224460 divided by 6. -3717037410 Divide -1088 by -217982. 544/108991 Divide 20147585 by 4029517. 5 -...
{ "pile_set_name": "DM Mathematics" }
t(486) + 1*sqrt(486)*-2 - ((sqrt(486) - -2*sqrt(486))*4 - sqrt(486)))/(sqrt(16)/(sqrt(8)*-2) + (sqrt(144)/sqrt(6))/sqrt(12)). -216*sqrt(3) Simplify (-3 + 1 + (1 + 1 + sqrt(3))*3 + (sqrt(75) - (-2 + sqrt(75)))*-3 + 0)**2 + 1. -12*sqrt(3) + 32 Simplify -5*(1*-1*((1 + sqrt(539)*2)**2 - sqrt(539)) - (1*sqrt(539) + 5 + sqrt...
{ "pile_set_name": "DM Mathematics" }
3144.667 Work out -5838 * 229. -1336902 3 times 243385.7 730157.1 -5 * 10267501 -51337505 Product of 0.06155 and 5246. 322.8913 Work out -561336 * -20. 11226720 0.036414 times 0.34 0.01238076 Work out -4.5342 * -1060. 4806.252 Product of 6957 and 0.03409. 237.16413 Calculate -0.0505*26436. -1335.018 Calculate -32068559...
{ "pile_set_name": "DM Mathematics" }
What is the closest to i in -1/14, w, 2? -1/14 Let w = 41 + 28. Let h = w + -58. Which is the nearest to 0? (a) -4/3 (b) 5 (c) -1 (d) h c Let x(p) be the first derivative of -5*p**2/2 + 79*p + 15. Let q be x(16). Let j be ((-7)/2)/(2/4). Which is the nearest to q? (a) j (b) 0.5 (c) -4 b Let p = -35693 + 35650. ...
{ "pile_set_name": "DM Mathematics" }
s**3 = 0. What is s? 0, 13 Let h(s) = -23*s**2 - 4*s + 49. Let n be h(5). Let c be (39/n)/((-1)/7). Let c*u**3 - 3/2*u**2 + 0 + u = 0. What is u? 0, 1, 2 Suppose 19*s - 24*s = -1550. Let p = s - 2788/9. Factor 0 + 4/3*i**3 + 2/9*i - 8/9*i**4 + p*i**5 - 8/9*i**2. 2*i*(i - 1)**4/9 Let p(m) be the second derivative of 0*m...
{ "pile_set_name": "DM Mathematics" }
in 0, 4.1, 1.8, 3, -1/4? -1/4 What is the nearest to -2 in -0.3, 4, -0.1, 308? -0.3 What is the closest to -22 in 3/7, -3, -1/2, -2? -3 What is the nearest to -2/3 in -4, -2/9, -18? -2/9 What is the closest to -1/439 in 1/4, 5, 2/5, 1, -3/64? -3/64 What is the closest to 0 in -2, -5, -10/3, -2.3? -2 What is the closes...
{ "pile_set_name": "DM Mathematics" }
)/((-25)/(-150)). 3/8 Calculate ((-17)/(-680)*-8)/(6/5). -1/6 Evaluate -1*1/(-15)*160/96. 1/9 (3*-1)/((-7)/((-42)/9)) -2 What is the value of 3/3*4/(-4)? -1 What is ((-80)/(-120))/(2/6)? 2 Evaluate (1*(-3)/12)/((-5)/(-30)). -3/2 Evaluate ((-100)/125)/(2*-1). 2/5 What is ((-3)/(-75))/(2*(-3)/(-15))? 1/10 Evaluate 240/(-...
{ "pile_set_name": "DM Mathematics" }
4 + 23*r**3/2 = 0. -23, -2, 0 Determine k so that -2*k**2/5 - 240*k + 1202/5 = 0. -601, 1 Determine s, given that s**4/4 + 7*s**3/2 + 3*s**2 - 135*s/2 + 243/4 = 0. -9, 1, 3 Determine u, given that -u**3/2 - 4*u**2 - 21*u/2 - 9 = 0. -3, -2 Find y such that -y**2/7 + 1258*y/7 - 1257/7 = 0. 1, 1257 Solve -3*u**4 + 120*u**...
{ "pile_set_name": "DM Mathematics" }
the hundreds digit of 2397860? 8 What is the units digit of 222426? 6 What is the ten thousands digit of 6178194? 7 What is the units digit of 8530165? 5 What is the tens digit of 14287? 8 What is the thousands digit of 224778? 4 What is the thousands digit of 644199? 4 What is the thousands digit of 261001? 1 What is...
{ "pile_set_name": "DM Mathematics" }
- 3*f + 12. Sort x, -4, -5. -5, -4, x Let s be 2/1*(-5)/(-2). Suppose 4*q = q + 12. Sort -4, s, q in increasing order. -4, q, s Let n be ((-3)/(-1) - 5)/1. Let x be 38/(-8) + (-3)/(-4). Put 4, n, x in descending order. 4, n, x Let y be (-3)/(9/6 - 0). Suppose 15 = 4*l + 3. Suppose 4*t = 6*t + 3*x + 2, -2*x = t + 2. So...
{ "pile_set_name": "DM Mathematics" }
) = 13*p**3 - 22*p + 8. Calculate 8*j(x) + 5*l(x). -7*x**3 + 10*x Let b(w) = 106*w**2 + 2. Let p(i) = 107*i**2 + i + 2. Give 2*b(t) - 3*p(t). -109*t**2 - 3*t - 2 Let g(l) = 3*l**2 - 4. Let c(o) = 156*o + 778. Let d be c(-5). Let q(b) = -7*b**2 - b + 8. Calculate d*q(u) - 5*g(u). -u**2 + 2*u + 4 Let m(i) be the third de...
{ "pile_set_name": "DM Mathematics" }
3:32 AM? 3:05 PM What is 568 minutes after 3:23 PM? 12:51 AM What is 111 minutes after 8:45 PM? 10:36 PM What is 676 minutes after 9:43 AM? 8:59 PM How many minutes are there between 11:12 AM and 4:39 PM? 327 How many minutes are there between 1:54 AM and 8:10 AM? 376 What is 708 minutes after 10:35 AM? 10:23 PM What i...
{ "pile_set_name": "DM Mathematics" }
35 - 24/(-4))? 4 Calculate -4 + 40 + -10 - 56. -30 (-1 - (-12 - -5)) + 25/5 + 1 12 What is ((-6)/756*6)/((-47)/(-329))? -1/3 2/((-8)/(-9))*((-195976)/102)/(-131) 33 What is 2814/(-98) - (-44)/(-154)? -29 What is the value of 2034/(-3164) + (-8)/(-7)? 1/2 (6 + -1 + -4)*2/(-34) -1/17 What is the value of ((5 - (-99)/(-15...
{ "pile_set_name": "DM Mathematics" }
w) = 3. Let t = 22 + -13. Let v(q) = 19*q - 3. Let i(a) = 4*a + 2. Let u(c) = 5*i(c) - v(c). Determine t*y(b) - 2*u(b). -2*b + 1 Let w(s) = -15*s**2 + s + 194. Let a(c) = -14*c**2 + 151. Calculate -4*a(j) + 3*w(j). 11*j**2 + 3*j - 22 Suppose -4 + 5 = 4*y + 3*v, -2 = 2*v. Let h(f) be the first derivative of f**2/2 - f +...
{ "pile_set_name": "DM Mathematics" }
2? 3294 What comes next: -102, -124, -146? -168 What is the next term in 295, 369, 443, 517? 591 What comes next: 14012, 13983, 13954? 13925 What is the next term in -59063, -59064, -59065, -59066? -59067 What comes next: 11776, 11765, 11754? 11743 What comes next: -19685, -19675, -19665? -19655 What is next in 62, 45,...
{ "pile_set_name": "DM Mathematics" }
pect to h. 28*h**3 Let p(b) be the second derivative of 8*b**5/5 + b**4/6 + 23*b. Find the third derivative of p(k) wrt k. 192 Let i(u) be the third derivative of -u**6/144 - u**5/60 - u**4/12 + 3*u**2. Let d(h) be the second derivative of i(h). Differentiate d(w) wrt w. -5 Find the second derivative of 54*o**4 - 110*o...
{ "pile_set_name": "DM Mathematics" }
23118 and -5/20304? 78231312 Calculate the least common multiple of 344 and 4365016. 4365016 Find the common denominator of 9/93752965 and 79/45. 843776685 Calculate the lowest common multiple of 27475 and 4800275. 33601925 What is the lowest common multiple of 5223735 and 1730? 10447470 What is the smallest common mul...
{ "pile_set_name": "DM Mathematics" }
883 prime? False Is 231376633 composite? True Is 319179728779 a composite number? True Is 1740638801 a prime number? False Is 127058957047 a composite number? True Is 27027342974 composite? True Is 853086811 composite? False Is 7726888997 prime? False Is 1220411905 a prime number? False Is 909070298 composite? True Is ...
{ "pile_set_name": "DM Mathematics" }
*2 - 10*u - 5. Let f(b) = -2*b**2 - 21*b - 9. Let r(z) = -3*f(z) + 5*q(z). List the prime factors of r(-17). 2, 5, 7 List the prime factors of (18/3 + -17)*((-1585)/1 + 0). 5, 11, 317 Suppose -2*r + 1055 = -3*u, r + u = -3*r + 2131. Let f = 948 - r. List the prime factors of f. 2, 13 Suppose -5*r + 3*b + 29226 = -10730...
{ "pile_set_name": "DM Mathematics" }
ng order. 7, d, f, -5 Suppose -5*m - 889 = -884, 5*m - 20 = 5*w. Let y = 0.5 - 0.3. Suppose 5*h - 9 = -3*q + 3, 2*q = 4*h - 14. Sort -4, q, w, y. w, -4, q, y Let d = 4.87 + -9.87. Put 7/2, 5/3, 4, d, -0.01 in ascending order. d, -0.01, 5/3, 7/2, 4 Suppose 4*w + 8 = 3*x, -5 = w + 2*w - 2*x. Let l be w + 10/3 - (0 - -3)....
{ "pile_set_name": "DM Mathematics" }
2*p. Let n(o) = a*d(o) - 2*w(o). Calculate n(q). 15 Let s(i) = 17*i**2 - 10*i + 15. Let l be s(8). Suppose 1025*h = l*h - 10. Let v(m) = -2*m**2 - 7*m - 5. Calculate v(h). -20 Let k(c) be the third derivative of -c**6/120 + c**5/5 - 23*c**4/24 - c**3/6 - 11870*c**2. Calculate k(9). 35 Let l(y) be the second derivative ...
{ "pile_set_name": "DM Mathematics" }
give x. 5 Rearrange -q**3 - 1 + 50*q**2 - 53*q**2 + 2*q**3 to r + m*q + o*q**2 + b*q**3 and give b. 1 Rearrange -2*c**2 + 0*c**3 + c**2 + 2*c + 3*c**2 + c**3 - 8 to the form b + j*c + z*c**2 + l*c**3 and give b. -8 Rearrange -2 + 23*o**3 + 14*o**3 - 29*o**3 to b*o**2 + h + j*o**3 + u*o and give j. 8 Express -135*f + 6...
{ "pile_set_name": "DM Mathematics" }
5, -1/2, -0.2? -1/2 What is the second smallest value in -38, 1, -1, 0.2? -1 What is the third biggest value in 0.2, -145, 2/11? -145 Which is the fifth biggest value? (a) -0.12 (b) 2/5 (c) -5 (d) 0.3 (e) -2 c Which is the second smallest value? (a) -850 (b) -5 (c) -2/13 b What is the second smallest value in 4...
{ "pile_set_name": "DM Mathematics" }
(w) = 1 - 1 + 18*w**2. Give g(j(d)). 72*d**2 Let k(h) = -6*h - 8. Let s(t) = -62*t - 3. What is s(k(f))? 372*f + 493 Let r(t) = -5*t. Let a = 15 - 10. Suppose 0 = 2*d - a + 1. Let g(l) = l - d*l + 2*l. What is g(r(q))? -5*q Let j(m) = 7*m + 9. Let h(u) = 26*u + 33. Let l(v) = -6*h(v) + 22*j(v). Let c(k) = 2*k + 1. What...
{ "pile_set_name": "DM Mathematics" }
*(4 + (sqrt(320) - (sqrt(320) + 0))**2). -11 + 16*sqrt(5) Simplify 3*(3*(5 + 2 + sqrt(128) + 0) - (5 + (sqrt(128) - (sqrt(128)*-2 + -3) - -3*(sqrt(128) + 1))))**2. -1440*sqrt(2) + 3756 Simplify (3 + (2*(sqrt(2448) - (sqrt(2448) - (sqrt(2448) + sqrt(2448) + 1 + sqrt(2448))*-2)) + (sqrt(2448) + 0 + sqrt(2448) + 3)*-2)*-1...
{ "pile_set_name": "DM Mathematics" }
e 24 = -0*g - 4*g. Let y(j) = j**3 + 4*j**2 - 16*j - 22. Let t be y(g). Solve t*n + 34 = 28 for n. -3 Let s = 1348 - 1336. Let d be 1*(-5 - -3)/(-1). Suppose 5*f - d*f = 9. Solve -s = f*t - 0*t for t. -4 Let b(d) = -d**2 - 235*d + 727. Let z be b(3). Solve z = 10*u + 23 for u. -1 Suppose 5*b - 336 = -3*x + 1731, -4*x +...
{ "pile_set_name": "DM Mathematics" }
. Let a = -1.86 - d. Let q = 0.148 - a. What is q rounded to 3 decimal places? -0.007 Let q = -20.9 - -107.9. Let n = q - 87.00053. What is n rounded to four decimal places? -0.0005 Let j = -2.4 + 11.4. Let k = -9.00021 + j. Round k to four dps. -0.0002 Let s = -54 + 32. Let a = s - -18. Let g(m) = 143*m**2 - 2*m + 4. ...
{ "pile_set_name": "DM Mathematics" }
e the prime factors of 11661? 3, 13, 23 List the prime factors of 323. 17, 19 What are the prime factors of 3923? 3923 List the prime factors of 41118. 2, 3, 7, 11, 89 What are the prime factors of 697? 17, 41 List the prime factors of 1181. 1181 What are the prime factors of 81004? 2, 7, 11, 263 List the prime factors...
{ "pile_set_name": "DM Mathematics" }
/(p/(p**5/p))*p**(1/15) assuming p is positive. p**(61/15) Simplify ((s*s**(-4/3))/(s**0/s*s*s))/(s*s/(s**(-2)*s))**24 assuming s is positive. s**(-220/3) Simplify x**(-10)/(x/(x**(9/4)*x)) assuming x is positive. x**(-31/4) Simplify ((v/v**(-1/4)*v)**(2/55))**(-49) assuming v is positive. v**(-441/110) Simplify (t**0)...
{ "pile_set_name": "DM Mathematics" }
t k = 15 - 9. Let v be (-1 + -2)*4/k. Let q = -0.07 - -3.07. Which is the second smallest value? (a) -3/2 (b) q (c) v a Let f = 53 - 52. Let o = 1 - 3. Which is the third smallest value? (a) 4 (b) f (c) o a Suppose 2*w - c + 6 = c, 2*c = -w - 9. Let i = 8.1 - 7. Let s = -0.9 - i. What is the biggest value in w, s...
{ "pile_set_name": "DM Mathematics" }
et b be (-7)/(-5) + 1 + (1 - 3). What is the nearest to 0 in -4, -5, b? b Let r = 0.16 - 0.26. Which is the nearest to 1? (a) r (b) 0.5 (c) -0.5 b Let y = -0.9 + -0.1. Let q = 7 - 12. What is the closest to -0.4 in 0, y, q? 0 Let l = -2 - -1.8. Let q = l + -0.3. Let h = -1.5 + q. Which is the closest to 2/3? (a) -0...
{ "pile_set_name": "DM Mathematics" }
-0*k. Let f be k/(-35)*(-14)/4. Let u(i) = 16*i**2 + 10. Let w(v) = f*r(v) - u(v). Differentiate w(b) wrt b. -12*b Let j(s) be the third derivative of 3/20*s**5 - 5/6*s**3 + 0*s - 41*s**2 + 0 + 0*s**4. Find the first derivative of j(t) wrt t. 18*t Let y(q) = q**3 + q + 1. Let h(w) = -73*w**3 - 27*w. Let p(o) = -h(o) + ...
{ "pile_set_name": "DM Mathematics" }
m + m = b*l - 19. Let q(z) = -10*z + 3. Calculate l*q(v) - 7*k(v). 5*v + 2 Let h(u) be the second derivative of -u**3/6 + u**2/2 + 47*u. Let o(b) be the third derivative of b**4/6 - b**3/2 - 52*b**2. Give -6*h(f) - 2*o(f). -2*f Let p(c) = -25*c - 52. Let q(a) = -21*a - 52. What is -4*p(z) + 3*q(z)? 37*z + 52 Let m(v) =...
{ "pile_set_name": "DM Mathematics" }
3 wrt y. 111616486 Find the second derivative of 19*t**2*u**2 + t**2*u + 201*t*u + 1300441*u**2 - 4942 wrt u. 38*t**2 + 2600882 Find the second derivative of -p**3 + 114261276*p**2 - 438*p - 265998. -6*p + 228522552 Find the third derivative of 133247*h*m**4 - 757*h*m**3 - 49*h*m**2 + 1895*h*m - 30 wrt m. 3197928*h*m -...
{ "pile_set_name": "DM Mathematics" }
1*r + 19517757 = -26*r. Is r a prime number? True Let q(z) be the first derivative of 2578*z**3/3 - 5*z**2 + 11*z - 37. Is q(1) prime? True Suppose 40188 - 128650 = -11*i. Suppose -q - 4*h - h + i = 0, 5*q + 2*h = 40279. Is q a composite number? True Let t be 7 - 1 - 12/((-36)/30579). Let f = t - 6540. Is f a prime num...
{ "pile_set_name": "DM Mathematics" }
y c Let w(i) = i - 14. Let r be w(10). Let z be 52/(-20) + r/10. Let u be (-1)/(16/42) - z. What is the second biggest value in 1, u, 0.12? u Let s = 1211 + -1211.5. Let x(l) = l**2 - 5*l. Let z be x(4). What is the third biggest value in 6, s, z? z Let p = 28 + -55/2. Let r = 27 - 39. Let k be 5/2*r/(-10). What is th...
{ "pile_set_name": "DM Mathematics" }
1 - -15). What is the common denominator of 125/12 and 277/(-6) + 4/b? 12 Let a be (3 - -6)/3*9. Find the common denominator of 1 + -2*(-73)/(-28) and 6/a + 905/(-144). 112 What is the common denominator of 23/8 and 1 + (-66)/21 + 0? 56 Suppose 5*y - 2*y = 13119. Let g = 39302/9 - y. Find the common denominator of 9/4 ...
{ "pile_set_name": "DM Mathematics" }
False Let x(s) = s**2 - 15*s + 27. Suppose -59*l + 62*l - 51 = 0. Is 59 a factor of x(l)? False Suppose 3*x - 2239 = -5*f, 10*f = 3*x + 11*f - 2243. Is x a multiple of 49? False Let q(i) = -i**2 - 8*i - 6. Let h be q(-6). Suppose -4*j + h*j - 20 = 0. Let s(r) = -r**2 + 11*r - 1. Is s(j) a multiple of 3? True Suppose 1...
{ "pile_set_name": "DM Mathematics" }
d to the nearest one hundred thousand? 6400000 What is -0.07554068 rounded to 3 dps? -0.076 Round 1498.502 to the nearest 100. 1500 Round 0.942709 to 1 decimal place. 0.9 What is -0.0497305 rounded to four decimal places? -0.0497 Round -196241230 to the nearest 100000. -196200000 What is 0.0265013 rounded to 4 decimal ...
{ "pile_set_name": "DM Mathematics" }
st ten thousand. -9540000 Round 0.0000753509043 to 7 dps. 0.0000754 Round -8875642.211 to the nearest 100. -8875600 Round 19094542.984 to the nearest 10000. 19090000 What is -0.118096721 rounded to three dps? -0.118 Round 0.052362306 to 4 dps. 0.0524 Round -0.060934937 to four decimal places. -0.0609 What is -0.0000705...
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from boooooooobb. Give prob of sequence obob. 7/165 Two letters picked without replacement from xxuuoxuo. Give prob of sequence ux. 9/56 Calculate prob of sequence td when two letters picked without replacement from atattttftdfdttftatt. 11/171 Two letters picked without replacement from {...
{ "pile_set_name": "DM Mathematics" }
at is g(-4)? 14 Let c(z) = z**3 - 4*z**2 - 4*z - 4. Calculate c(4). -20 Let m(r) = 21*r - 390. What is m(19)? 9 Let x(f) = 2*f**3 + 8*f**2 - 4*f + 6. Calculate x(-7). -260 Let k(m) = 3*m**2 + 6*m + 42. Give k(0). 42 Let s(d) = -d**3 - 8*d**2 + 7*d + 9. Determine s(-9). 27 Let k(j) = 4*j + 41. Calculate k(-9). 5 Let v(j...
{ "pile_set_name": "DM Mathematics" }
8. Calculate n(-5). 63 Let u(z) = 3*z**2 + 29*z - 1270. Determine u(0). -1270 Let i(s) = -s**3 + 344*s**2 - 1034*s + 3753. Give i(341). 2 Let g(t) = 16*t**3 - 641*t**2 - 1912*t + 20. Determine g(-3). -445 Let c(i) = -1379993*i + 5519953. What is c(4)? -19 Let h(l) = -l**2 + 91342*l - 547974. Give h(6). 42 Let c(z) = 2*...
{ "pile_set_name": "DM Mathematics" }
93 Calculate the remainder when 917046 is divided by 25. 21 What is the remainder when 555521 is divided by 896? 1 Calculate the remainder when 2441295 is divided by 610317. 27 What is the remainder when 1286644 is divided by 22? 18 Calculate the remainder when 20443 is divided by 1144. 995 What is the remainder when 8...
{ "pile_set_name": "DM Mathematics" }
r of 72 and 17772. 12 Calculate the highest common divisor of 609 and 5568. 87 What is the greatest common factor of 180 and 390? 30 Calculate the greatest common divisor of 52 and 4550. 26 Calculate the greatest common factor of 7087 and 746. 373 What is the greatest common divisor of 2160 and 60? 60 Calculate the hig...
{ "pile_set_name": "DM Mathematics" }
k. 4 Solve 3*f - 2*o + 3 = 0, -24*f + 28*f + 9 = o for f. -3 Solve 0 = 6*p - 11*p + k, -3*k = 5*p - 20 for p. 1 Solve 2*f - 3*b - b - 22 = 0, 0 = f - b - 8 for f. 5 Solve 0 = -2*d - 10, 3*d = 531*n - 529*n - 29 for n. 7 Solve -2*c + 167*p + 16 = 165*p, -p = 3 for c. 5 Solve -2*w + 5*v - 9 = -26, 5*v = -25 for w. -4 So...
{ "pile_set_name": "DM Mathematics" }
Let f = -210 - -201. Let d = f - -31/3. Which is smaller: d or -0.02? -0.02 Let c = -14562215/33713214 + 3/158278. Which is bigger: c or 1? 1 Suppose 57*f - 59*f = -3*k + 58, 2*k = 4*f + 28. Suppose -s - 4*s - g + 5 = 0, s - 10 = -2*g. Let p = k - s. Is p equal to 21? False Suppose 40*k = -118 + 78. Do k and -4665 hav...
{ "pile_set_name": "DM Mathematics" }
s x(0) composite? True Let c = 108 - 424. Let n = -189 - c. Is n a prime number? True Let s = 3 + -6. Let p be 12/4 + s + 148. Let b = 231 - p. Is b a prime number? True Let m(w) = 2664*w - 311. Is m(8) prime? True Let r(l) = 22*l + 13. Let a be r(5). Let y = -70 + a. Is y a composite number? False Suppose -9*k = -542 ...
{ "pile_set_name": "DM Mathematics" }
se 5*x = -v + 35, -1 = -x - v + 2. What is the common denominator of (-1026)/(-27)*6/(-32) and (65/x - -1) + 0? 8 Let u(n) = n**3 + 7*n**2 - 5*n - 21. Calculate the least common multiple of 52 and u(-7). 364 Let h be 9/(-2943)*((-189)/(-2))/3. Let g = -10707/872 + h. Calculate the common denominator of g and 143/18. 72...
{ "pile_set_name": "DM Mathematics" }
What is next in 619558581, 619558582, 619558583, 619558584, 619558585, 619558586? 619558587 What is next in -7091, -14440, -22041, -29888, -37975, -46296, -54845? -63616 What comes next: 10239, 20539, 30881, 41253, 51643, 62039, 72429? 82801 What is next in -996, 1805, 9418, 24249, 48704? 85189 What comes next: -54457...
{ "pile_set_name": "DM Mathematics" }
l: 2, d: 1}. What is prob of sequence lvl? 1/15 What is prob of sequence gu when two letters picked without replacement from iug? 1/6 Calculate prob of sequence ys when two letters picked without replacement from {e: 1, s: 1, y: 1}. 1/6 Calculate prob of sequence mt when two letters picked without replacement from {b:...
{ "pile_set_name": "DM Mathematics" }
161/9643500. 9643500 Calculate the common denominator of 79/52499112 and 117/14. 367493784 Calculate the lowest common multiple of 5394 and 2798703. 173519586 Calculate the lowest common multiple of 11642508 and 15523344. 46570032 Calculate the smallest common multiple of 3094 and 1231412. 1231412 Calculate the common...
{ "pile_set_name": "DM Mathematics" }
-11962, -12341? -12846 What comes next: 2773, 2781, 2803, 2845, 2913, 3013? 3151 What is the next term in 881, 1820, 2883, 4070? 5381 What is next in -881, -759, -621, -461, -273? -51 What is next in -548, -573, -598, -623, -648, -673? -698 What is next in 385, 492, 609, 742, 897, 1080, 1297? 1554 What is next in 763,...
{ "pile_set_name": "DM Mathematics" }
t j = -12 - l. Let g = 5 - 2. What is the smallest value in j, g, -2? -2 Let q = -12.2 - -11.9. Which is the second smallest value? (a) -2 (b) -10 (c) q (d) -3 d Suppose -11*k + 3*k = -24. What is the second smallest value in -2/7, 1, k? 1 Let r be (-24)/(-9) - (-1 + 3). Let u = 71 + -70.9. What is the second small...
{ "pile_set_name": "DM Mathematics" }
the nearest one hundred. -1700 Let b(g) = -g**3 + 5*g**3 - 5 - 2*g**2 - 5*g**3. Let o be b(-5). What is o rounded to the nearest one hundred? 100 Let s = -51 + 96. Let j = -44.93724621 + -0.06256379. Let w = j + s. Round w to 4 decimal places. 0.0002 Let m = 19 - 19.182. Let s = m + 0.033. What is s rounded to 2 decima...
{ "pile_set_name": "DM Mathematics" }