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ob of sequence ssss when four letters picked without replacement from {n: 2, s: 7}? 5/18 Two letters picked without replacement from ayeebaaqyyyyybbccccb. Give prob of sequence bc. 4/95 Three letters picked without replacement from {a: 5, d: 1, b: 1, p: 5}. Give prob of sequence bdp. 1/264 What is prob of sequence xxx ...
{ "pile_set_name": "DM Mathematics" }
3 Collect the terms in 110812033 - 6*d**2 - 7*d**2 - 10*d**2 + 23*d**2 - 110812033 - 6*d**3. -6*d**3 Collect the terms in 0*g**2 - 4*g**2 + 57*g - 4*g + 54*g - 163 + g**2. -3*g**2 + 107*g - 163 Collect the terms in -4554720 + 228*a**2 + 4554720 - a. 228*a**2 - a Collect the terms in -j + 41*j**2 + 77891*j**3 - 41*j**2 ...
{ "pile_set_name": "DM Mathematics" }
-10). Let r be (1/d)/((-17)/85). Solve -11 = 2*s - r for s. -5 Let t be -1*2/6 - 168/(-18). Suppose -t*w - 48 = -25*w. Solve 0 = 2*a + a + w for a. -1 Let i = -1410 + 1414. Solve -10*y - i*y = 0 for y. 0 Let c = -133 - -131. Let o(q) = 2*q + 5. Let k be o(c). Solve 3*f + k = 4 for f. 1 Suppose 5*i + 5 = 0, 7*l - 2*l - ...
{ "pile_set_name": "DM Mathematics" }
s + g*w**3 + f*w + u*w**2 and give s. -1 Rearrange -90*n**4 - 6*n - 86*n**4 + 5*n**3 - 82*n**4 + 344*n**4 - 88*n**4 - 2*n**2 to q*n**2 + d*n**3 + a*n + o + w*n**4 and give a. -6 Rearrange (0 + 0 - 2*w)*(-3 - 66*w**2 + 67*w**2 - 10) - 1 + w**3 + 1 + 3 - 3 + 2*w**3 + (4*w + w - 3*w)*(w**2 + 0 + 0) to t*w + c*w**2 + g + o...
{ "pile_set_name": "DM Mathematics" }
picking 1 f and 3 e? 2/455 Three letters picked without replacement from {x: 3, z: 4, a: 2}. What is prob of picking 3 z? 1/21 What is prob of picking 2 t when two letters picked without replacement from {t: 9, l: 2}? 36/55 Two letters picked without replacement from iitivvivippki. Give prob of picking 1 t and 1 p. 1/...
{ "pile_set_name": "DM Mathematics" }
) = -2*y - 6. Let l be h(-4). Suppose -18 + 0 = 4*f + 2*g, l*f = -4*g - 18. Sort f, j, 0.1 in decreasing order. 0.1, j, f Let i = -2.11 + 2.61. Put -0.5, i, 1, 12 in decreasing order. 12, 1, i, -0.5 Let q(j) = j**3 - 5*j**2 + 5*j. Let g be q(3). Sort -91, -1, g in increasing order. -91, g, -1 Let q = 29 + -53. Let a = ...
{ "pile_set_name": "DM Mathematics" }
in base 14? 6c7c Convert 11010101010 (base 2) to base 7. 4655 Convert -1831 (base 9) to base 8. -2575 Convert -4040 (base 5) to base 8. -1010 What is 4432 (base 5) in base 13? 386 101011101 (base 2) to base 7 1006 -1001110000 (base 2) to base 14 -328 -1110000100001011 (base 2) to base 4 -32010023 What is 775 (base 13) ...
{ "pile_set_name": "DM Mathematics" }
s prime? True Let q(f) = -430*f**3 + 3*f**2 + 3*f + 1. Is q(-1) a composite number? False Suppose -1575455 = -23*b + 491486. Is b a prime number? True Suppose -5*n + 19 = -16. Suppose n*p - 4*p = 111. Is p a composite number? False Let g(y) = 4*y**3 + 173*y**2 + 24*y + 61. Is g(-40) a prime number? False Suppose 0 = -0...
{ "pile_set_name": "DM Mathematics" }
closest to 17 in 0.2, 1, 0.03, -0.6, 5? 5 Which is the nearest to -1/3? (a) 0.5 (b) -31 (c) -0.1 (d) 0.2 (e) -8/23 e What is the nearest to 0.1 in 1, 6, 0.3, -926? 0.3 What is the nearest to 1/5 in -522, 6, 0.5? 0.5 Which is the nearest to 3993? (a) 5 (b) 3/7 (c) -2 a Which is the closest to -0.047? (a) -0.59...
{ "pile_set_name": "DM Mathematics" }
(b) = -21*b + 1. Let n(c) = 2805*c - 816. Let l(t) = 137*t - 40. Let x(o) = -102*l(o) + 5*n(o). Determine z(x(r)). -1071*r + 1 Let l(r) = 267*r. Let n(w) be the second derivative of -1/3*w**3 + 232*w + 0 + 0*w**2. Calculate n(l(h)). -534*h Let l(h) = 165*h. Let j(r) = -638*r**2 + 99*r - 1188. Let t(n) = -13*n**2 + 2*n ...
{ "pile_set_name": "DM Mathematics" }
ich is smaller: y or 2/7949? y Let l = 331/3325 + 1/175. Let z(m) = 2*m**2 + 33*m + 15. Let f be z(-16). Is l less than or equal to f? False Suppose -107*n - 93 = -104*n. Let r = 27 + n. Let i be 22/r*6/(18/(-3)). Is 5 less than i? True Let j = 71.5 - 71.5471. Let p = 12.9529 - j. Is 3 equal to p? False Let n = -19205/...
{ "pile_set_name": "DM Mathematics" }
z(g) = 2*g**3 + 5*g**2 - 403*g + 5. Let s be z(13). Solve -s*b = 4*w + 11, 0 = 2*b + 3*w + 3 for b. -3 Let q be 6 + -9 - (-2 - 3). Suppose 3 = -s + q. Let r be (1 - -1)*(2 + s). Solve 2*w = -r*k + 18, 0*w - 2*w + 10 = 0 for k. 4 Let l(k) = 4*k - 10. Let m be l(3). Let b be m/10*-67 - 3/5. Let y = b - -28. Solve 4*z = -...
{ "pile_set_name": "DM Mathematics" }
1, -3, -30, -79 Put 8, -1, 1.6, 1/4, -4 in descending order. 8, 1.6, 1/4, -1, -4 Sort 8.4, 3, 5.3, 0.06. 0.06, 3, 5.3, 8.4 Put -3, 34, 3, 82, 9 in descending order. 82, 34, 9, 3, -3 Sort 9, -206533, 3 in increasing order. -206533, 3, 9 Sort -46, 1/2, 0, -1/7, -1/3 in increasing order. -46, -1/3, -1/7, 0, 1/2 Sort 5, -1...
{ "pile_set_name": "DM Mathematics" }
5))? 24 Let d(h) = -2*h + 0 + 12*h + h + 5 - h**2. Let u be d(10). Let z = u + -7. Calculate the remainder when 30 is divided by z. 6 Let k be (4 - 1)*(-4)/6. Let h be -1*(-1 - k) + 103. Let g = h - 55. Calculate the remainder when g is divided by 16. 15 Suppose -3*k = -53 - 52. Calculate the remainder when k is divide...
{ "pile_set_name": "DM Mathematics" }
be 2/7 + k/14. Suppose -6*p - 8 = -l*p, 0 = 4*g - 4*p - 76. Is 17 a factor of g? True Suppose -4*x - 32 = -q, 3*q + x = 4*x + 105. Does 9 divide q? True Let r be -1 - (-347)/(-2)*-2. Suppose 3*d + r = 4*y - 0*y, -174 = -2*y + 2*d. Suppose 5 = 5*i - y. Is i a multiple of 18? True Let p(x) = 0*x - 7*x - 2 + 1. Is 13 a fa...
{ "pile_set_name": "DM Mathematics" }
lve -1507 = 14*c - 1605 for c. 7 Solve 0 = 14*k - 4189 + 4259 for k. -5 Solve 9*v = -33 - 21 for v. -6 Solve -26*t = -31 + 5 for t. 1 Solve 42 + 28 = 10*l for l. 7 Solve 0 = 54*f - 73 + 235 for f. -3 Solve -2*c = c for c. 0 Solve -11*f = 12 + 32 for f. -4 Solve -71*b + 479 = 124 for b. 5 Solve -9*l = 1 - 19 for l. 2 So...
{ "pile_set_name": "DM Mathematics" }
11? f Let s(z) = 24*z - 144. Let m be s(6). Which is greater: m or -11/98? m Let d be (-56)/(-2) - (-24)/(12/(-2)). Let o be 4/((-4)/(-5)) - 1. Let l be (-2)/o - (-441)/18. Is l less than or equal to d? True Let i(k) = -4*k**3 - k**2 - 4*k - 1. Let m be i(-2). Suppose 0 = y + 2*j - m, -4*y + j + 112 = 2*j. Does y = 0.0...
{ "pile_set_name": "DM Mathematics" }
08)/11*-20. Let b = i - q. What is the closest to b in -0.2, 2/9, 0? -0.2 Let l = 46 + -43. What is the nearest to -0.5 in l, 2, 4? 2 Let w be 92/(-6) - 1/(-3). Let y = -563/238 - -95/34. What is the nearest to w in 4, -4, y? -4 Let d = -99.9 + 105. Let n = d - 5. Let u = -15 - -16. What is the nearest to u in 5, n, 2?...
{ "pile_set_name": "DM Mathematics" }
3 - 12*w**2. Let g(c) be the second derivative of j(c). Factor g(m). 2*m**2*(m - 3)*(m - 2) What is i in 20*i**5 + 84*i**3 + 31 + 132*i**4 - 3*i - 31 - 356*i**2 + 123*i = 0? -5, -3, 0, 2/5, 1 Let l(f) be the third derivative of f**7/42 - f**6 + 55*f**5/4 - 605*f**4/12 - 106*f**2. Determine s so that l(s) = 0. 0, 2, 11 ...
{ "pile_set_name": "DM Mathematics" }
ided by 2102? 2082 Calculate the remainder when 23176638 is divided by 2897078. 14 Calculate the remainder when 214613 is divided by 30352. 2149 Calculate the remainder when 396177 is divided by 1274. 1237 Calculate the remainder when 12095 is divided by 5610. 875 What is the remainder when 8579109 is divided by 25? 9 ...
{ "pile_set_name": "DM Mathematics" }
er. -925, -9, -8, -6, -4, -3, 3 Put 3, 1, 299014, -19 in increasing order. -19, 1, 3, 299014 Sort 0, -5, 6024 in increasing order. -5, 0, 6024 Sort -20, -11/5, -10, -0.1, 2, 0.13 in decreasing order. 2, 0.13, -0.1, -11/5, -10, -20 Put 84, -1, -184661 in descending order. 84, -1, -184661 Sort 29, 298, -0.7, 2, -4, 1/4 i...
{ "pile_set_name": "DM Mathematics" }
t s(a) = -2*a**2 - 31*a - 124. Suppose 2*m = 710*o - 709*o - 13, 5*o - 25 = 5*m. What is s(m)? -4 Let a(c) = 4*c**3 - c**2 + c. Let v = -213 - -99. Let s be (1/(3/2))/(v/(-171)). Determine a(s). 4 Suppose v + 1024 = 17*v. Let w(q) = -2*q**2 - v*q + 123*q - q**3 + 3*q**2 - 54*q - 3. Calculate w(3). -6 Let k(j) = j**2 + ...
{ "pile_set_name": "DM Mathematics" }
g(z) = -3*z - 3. Let l(s) = s**2 + 4*s + 4. What is y*l(v) + 4*g(v)? 3*v**2 Suppose 5*s - 2*i = -6*i + 2, 2*i - 16 = 5*s. Let q(b) be the first derivative of 10*b**3/3 - 13*b**2/2 - b - 2. Let f(z) = 3*z**2 - 4*z. Give s*q(r) + 7*f(r). r**2 - 2*r + 2 Let j(o) = -o**2 + o. Let r(i) = -i**3 + 3*i**2 - 2*i. Suppose 2*a = ...
{ "pile_set_name": "DM Mathematics" }
and (1 - s)*375/36. 48 Let g = -6 + 7. What is the smallest common multiple of 12 and g? 12 Suppose n - 10 = 6*n. Find the common denominator of (-4 - -4) + 45/n and -43/5. 10 Let u = 8345/4 + -2067. Calculate the common denominator of u and -127/6. 12 Let y = 74 + -52. Suppose -50 - y = -4*v. What is the lowest commo...
{ "pile_set_name": "DM Mathematics" }
= 254*o + 1022. Give j(-5). -248 Let c(d) = -d**2 + 22*d - 69. Give c(14). 43 Let c(v) = v**2 + 33*v - 250. Determine c(15). 470 Let x(v) = -4*v**2 + 57*v - 53. Determine x(12). 55 Let h(p) = 13*p**2 + 374*p + 21. Give h(-29). 108 Let y(c) = 8*c**2 + 641*c - 105. What is y(-80)? -185 Let h(i) = 46*i + 4285. Determine ...
{ "pile_set_name": "DM Mathematics" }
et b(s) = -41*s + 267. What is the remainder when b(2) is divided by 39? 29 Let p(r) = -r**2 - 3*r + 283. Calculate the remainder when 77 is divided by p(15). 12 Let m = 12 + -4. Let v = 4 + m. Suppose 0 = -2*y + y - 2*o - 3, 5*y = -2*o + 25. Calculate the remainder when v is divided by y. 5 Let u = 51 + -35. What is t...
{ "pile_set_name": "DM Mathematics" }
common factor of 413919 and 6215? 1243 What is the greatest common divisor of 756 and 6552? 252 What is the greatest common divisor of 88 and 292728? 8 Calculate the greatest common divisor of 478016 and 308. 308 Calculate the highest common factor of 1232 and 528. 176 Calculate the highest common factor of 48 and 190...
{ "pile_set_name": "DM Mathematics" }
- 2 - f**2 + f. Solve o(t) = 0. 1 Let s(z) be the third derivative of z**5/100 - 97*z**4/20 + 9409*z**3/10 + 4*z**2 - 34. Factor s(q). 3*(q - 97)**2/5 Let a = 1/383 + 356/10341. Let w(n) be the third derivative of 0 + 0*n + a*n**4 - 4/27*n**3 - 1/270*n**5 + 10*n**2. Factor w(r). -2*(r - 2)**2/9 What is k in 23*k**3 - 6...
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {a: 3, s: 4}. What is prob of picking 2 s and 1 a? 18/35 Three letters picked without replacement from {j: 3, p: 1, x: 1, z: 2, s: 5, i: 3}. What is prob of picking 1 z and 2 s? 4/91 What is prob of picking 1 t and 1 k when two letters picked without replacement from dttdttbktttb...
{ "pile_set_name": "DM Mathematics" }
*-1004 100.4 -642506*-0.1 64250.6 Multiply 1.3 and 4393.9. 5712.07 What is the product of -3111 and -76? 236436 Calculate -22.87579*-2. 45.75158 -85 times 12905 -1096925 Calculate -118.1*-0.08. 9.448 Multiply -270.92 and -2. 541.84 Calculate -9609.6*-0.03. 288.288 13780*0.0257 354.146 2.1 times -2577.2 -5412.12 Multipl...
{ "pile_set_name": "DM Mathematics" }
a(o) = -o**2 - o - 1. Let x(d) = d**2 - d - 1. Let z be x(-1). Let j(c) = -383044 + 383044 + 3*c. Calculate z*j(w) + 2*a(w). -2*w**2 + w - 2 Let v(u) = -10*u - 3. Let j(f) = 9*f + 3. Calculate -7*j(w) - 6*v(w). -3*w - 3 Let n(u) = -224*u - 28. Let m(b) = 25*b + 3. What is -28*m(l) - 3*n(l)? -28*l Let w(g) = 6*g - 7. Le...
{ "pile_set_name": "DM Mathematics" }
, 26002, 2 in descending order. 26002, 4, 2, -1, -5 Sort 16, -1/5, -19, -2, 1/9782. -19, -2, -1/5, 1/9782, 16 Put -1, -5, -100, -65, -33, 4 in descending order. 4, -1, -5, -33, -65, -100 Sort -129999, -1, -61, 4, 5 in decreasing order. 5, 4, -1, -61, -129999 Sort -3, -1, -217565 in ascending order. -217565, -3, -1 Sort...
{ "pile_set_name": "DM Mathematics" }
**2 - 24*x + 3. Let n(y) = 55*o(y) - 3*s(y). Let p(i) = 24*i. Calculate p(n(k)). 264*k**2 Let c(s) be the third derivative of -7*s**6/72 + 41*s**3/6 - s**2 + 2*s. Let o(k) be the first derivative of c(k). Let j(q) = -2*q. What is o(j(l))? -140*l**2 Let f(v) = -4117*v - 6. Let k(u) = 13301987*u + 19385. Let y(g) = -1938...
{ "pile_set_name": "DM Mathematics" }
0.4 Let d = 84 - 88.9. Let h = 4.899918 + d. What is h rounded to 5 dps? -0.00008 Let f = -2.8 + 3. Let t = f + 0.8. Let k = 1.00000038 - t. What is k rounded to seven decimal places? 0.0000004 Let u be 250/(-6)*48/(-2). What is u rounded to the nearest 1000? 1000 Let x = -28701.991 + 28683. Let y = 0.12 + 18.88. Let a...
{ "pile_set_name": "DM Mathematics" }
*4/8 + 2*m**2. Let x(s) be the second derivative of a(s). Find the second derivative of x(r) wrt r. 6 Let i(l) be the second derivative of 4*l**3/3 - 2*l**2 - 2*l. Differentiate i(n) with respect to n. 8 Let u(j) = j**3 - j**2 - j + 1. Let r be -3*4/6*1. Let h(w) = 4*w**3 - 3*w**2 - 3*w + 4. Let v(c) = r*h(c) + 6*u(c)....
{ "pile_set_name": "DM Mathematics" }
0 = -16*l + 19*l - 12 for l. 4 Solve 0 = -19*d + 15*d for d. 0 Solve 3 - 19 = -4*p for p. 4 Solve 10*c = -9*c + 95 for c. 5 Solve 88*i = 105*i - 51 for i. 3 Solve 0 = 28*d + 278 - 82 for d. -7 Solve 0 = 10*u + 3*u - 39 for u. 3 Solve 50*w + 22 = 172 for w. 3 Solve 0 = -11*k - 12 - 21 for k. -3 Solve 23*o - 20 = 18*o f...
{ "pile_set_name": "DM Mathematics" }
? (a) -1/2 (b) 1 (c) 1/6 (d) 2/7 (e) 2 c What is the second biggest value in -0.1, -1/3, 0.4, 0.09? 0.09 What is the second biggest value in 2/9, -2/53, 2/3? 2/9 Which is the second biggest value? (a) -2 (b) 3 (c) 2/11 c Which is the third biggest value? (a) -2/37 (b) -1 (c) 2 (d) 3 (e) 5/7 e What is the b...
{ "pile_set_name": "DM Mathematics" }
g)/(1/48). What is x rounded to the nearest 10? -20 Let f = -0.091 + -0.294. What is f rounded to two decimal places? -0.39 Let o = -181 + 181.013. What is o rounded to 2 decimal places? 0.01 Suppose 0 = 4*s + 8 + 12. Let j(c) = 336*c**2. Let m be j(s). What is m rounded to the nearest 1000? 8000 Suppose 0 = -4*p + 100...
{ "pile_set_name": "DM Mathematics" }
-2044? -2044 In base 10, what is 0 - 961? -961 In base 11, what is -30 - 3? -33 In base 6, what is 305511 - -3? 305514 In base 4, what is -1 - 2231? -2232 In base 11, what is 4 - 478? -474 In base 8, what is -50 + -1? -51 In base 15, what is -9425 - -1? -9424 In base 4, what is -323 + -11? -1000 In base 12, what is 20 ...
{ "pile_set_name": "DM Mathematics" }
4*o - 2. Let f(m) = 10*m**3 - 10*m**2 - 13*m + 7. Let w(c) = 2*f(c) + 7*h(c). Let s = 83 + -85. What is the units digit of w(s)? 8 Let h be (3/(-6) + 3)*4. Let r(g) = g**2 - 16*g + 20. Let d be r(h). Let w = -5 - d. What is the tens digit of w? 3 Let g = -1485 - -2789. What is the thousands digit of g? 1 Suppose 2*c -...
{ "pile_set_name": "DM Mathematics" }
-2)/1 - (p/20 + 3). Is 11 at least v? True Let n = 5085 - 5117. Are n and -50 nonequal? True Suppose 231 - 255 = 4*v. Let l be 1 - (-12 + 6) - 3. Which is greater: v or l? l Let q be 10/27*30/(-4). Let r = -58199 - -58195. Is r > q? False Let a be (-6 + (3 - 0))*-111. Is a smaller than 667/2? True Let r be (-35)/26*(-8...
{ "pile_set_name": "DM Mathematics" }
(base 10) in base 4? 10012 What is -145 (base 9) in base 13? -95 Convert -22 (base 7) to base 6. -24 What is 61 (base 9) in base 2? 110111 -6 (base 11) to base 10 -6 What is 303 (base 4) in base 14? 39 What is 100 (base 8) in base 6? 144 What is -1202 (base 4) in base 16? -62 86 (base 13) to base 14 7c Convert be (bas...
{ "pile_set_name": "DM Mathematics" }
e Is 293 a factor of 34913? False Is 10 a factor of 108504500? True Does 154 divide 77891826? False Does 96 divide 11935296? True Is 373153255 even? False Does 6 divide 34399410? True Is 46293721 a multiple of 1360? False Does 97 divide 3842334945? False Is 1280123621 a multiple of 451? False Does 16 divide 192732099? ...
{ "pile_set_name": "DM Mathematics" }
+ k, 35 = 2*n + 3*n + 5*k. Let x be 27960/72 + n/(-6). Suppose t - 3*w = x, -3*t - 5*w + 1125 = -w. Is t a composite number? False Suppose 0 = 6*r - 45 - 27. Suppose 0 = -w - r + 12. Suppose 4*p - 1172 = -w*p. Is p composite? False Is (4445807/(-355))/((-2)/(-20)*-2) prime? True Let o = -1174432 - -2063985. Is o compo...
{ "pile_set_name": "DM Mathematics" }
*r - 486. Calculate the highest common factor of r and 6. 6 Let b be (-18)/4*(-112)/6. Suppose 6*s = 4*s + 42. Calculate the greatest common divisor of b and s. 21 Let z(j) = j**3 - 11*j**2 - 26*j + 2. Let b be z(13). Let n(f) = -4*f**3 - 2*f - 1. Let a be n(-1). Calculate the highest common divisor of b and a. 1 Let q...
{ "pile_set_name": "DM Mathematics" }
= 35 + -29. Let j be 111/12 + i/8. What is the units digit of 4/j*840/4? 4 Suppose 0 = -x, 0 = -3*s - 6*x + 7*x - 279. Let i = s - -1281. What is the thousands digit of i? 1 Let g(n) = 80*n - 19. Let s be g(2). Let h = s + 189. What is the units digit of h? 0 Let o = -13479 - -25302. What is the tens digit of o? 2 Sup...
{ "pile_set_name": "DM Mathematics" }
-4*u**3 + 7*u**2 - 7*u - 3. Determine d(2). -21 Let j(v) = v**2 - 39*v - 178. Determine j(44). 42 Let k(b) = -110*b + 1676. What is k(15)? 26 Let a(n) = -5*n**2 + 229*n + 514. Determine a(48). -14 Let s(o) = o**2 + 106*o + 2748. What is s(-43)? 39 Let v(s) = 3*s**2 - 145*s + 21. Give v(48). -27 Let i(p) = -14*p + 63. G...
{ "pile_set_name": "DM Mathematics" }
litre? 2600 How many nanograms are there in one tenth of a microgram? 100 How many kilograms are there in 62994.15mg? 0.06299415 What is one fifth of a litre in millilitres? 200 What is 9808.055 nanograms in micrograms? 9.808055 What is 6/5 of a millimeter in micrometers? 1200 What is 1904.526 hours in seconds? 685629...
{ "pile_set_name": "DM Mathematics" }
derivative of -g**5/3 + g**4/12 - 5*g**3 + 27. Let w(f) be the third derivative of z(f). Determine h(w(o)). 1600*o**2 - 160*o + 4 Suppose 0*q = -4*f + q + 12, -12 = 3*q. Let k(x) = -9*x**2 + x**2 + 2*x**2 + 0*x**f. Let v(a) = a**2. Determine k(v(m)). -6*m**4 Let w(s) = -13*s - 33. Let d(h) = 22*h + 66. Let x(k) = -3*d(...
{ "pile_set_name": "DM Mathematics" }
) be the first derivative of -49301*j**3/3 + 7*j**2 + 72*j + 224. Let u be w(-4). Round u to the nearest one hundred thousand. -800000 Suppose -b = 3*p - 19, -21 = -4*b - 4*p + 3*p. Let t(k) = -368751*k**3 + 2*k**2 + 9*k - 4. Let s be t(b). What is s rounded to the nearest 1000000? -24000000 Let f = -115 + 205. Let o =...
{ "pile_set_name": "DM Mathematics" }
he nearest to 0 in -2/17, v, 1/2? -2/17 Let i = -11.93 - -12. Let y = -0.13 - i. Let d = -37/3 + 12. Which is the closest to 2/7? (a) -5 (b) d (c) y c Let o = 5470/9 + -609. What is the nearest to -1/2 in 3, 2/7, o? o Let l = -21 - -24. Let d = 17 + -16. Which is the nearest to 0.5? (a) d (b) 5 (c) l a Suppose -4...
{ "pile_set_name": "DM Mathematics" }
d together -574.931 and 0.1. -574.831 Add -0.00044826 and 1. 0.99955174 Work out -2311 - -2. -2309 What is 0 less than -966.1? -966.1 Work out -62825 - -10. -62815 What is -0.09 - 15147? -15147.09 What is -0.117 - 53? -53.117 -21.88+-0.13 -22.01 What is -3 - -283? 280 Calculate 0.1 - 2.6128. -2.5128 Calculate -2 - 1.16...
{ "pile_set_name": "DM Mathematics" }
2354151 In base 11, what is -4942 - 408a? -8a21 In base 11, what is 229aa + 35? 22a34 In base 7, what is 12 - -40514020? 40514032 In base 2, what is -11010 + -1011010000110000101? -1011010000110011111 In base 7, what is 26036 + 131552? 160621 In base 4, what is 2 + -303102113101? -303102113033 In base 2, what is -10101...
{ "pile_set_name": "DM Mathematics" }
mplify (g/(g**(-2/31)*g*g))**(-6/5) assuming g is positive. g**(174/155) Simplify (x**(2/9))**5/(x**0*x**3/x) assuming x is positive. x**(-8/9) Simplify (a*a*a/a**2*a/(a**(-4/7)*a))**(-24/5) assuming a is positive. a**(-264/35) Simplify ((z/(z**(-13)*z))/z*z)/z**9 assuming z is positive. z**4 Simplify ((z/z**(2/5))/z)*...
{ "pile_set_name": "DM Mathematics" }
315. Which is the closest to 3/2? (a) 1/7 (b) o (c) 2 c Let d = -1009.2 - -1012.2. Which is the nearest to 1? (a) 0.2 (b) -3 (c) d a Let w be (-539)/(-210) - 252/105. Which is the nearest to 1? (a) -3/10 (b) 5.1 (c) w c Let l = 0.2 + -0.1. Let q = 122.6 + -184. Let n = q - -60.9. Which is the nearest to l? (a...
{ "pile_set_name": "DM Mathematics" }
e 0 = 6*o + 99 - 693. Let n = o - 111. Let a(l) = 4*l**2 - 13*l - 1. Let x(u) = u**2 + 1. Let k(v) = a(v) - 5*x(v). Determine k(n). 6 Let m(g) = 12 - 10*g**2 - g**3 - 6 + 3 - 20*g + 1. Let t be m(-7). Let b(o) = o**2 + 0*o + 3 + t + o + 1. Calculate b(0). 7 Let i(b) = b**3 - 5*b**2 - b - 1. Suppose -6*a = -a + 200. Let...
{ "pile_set_name": "DM Mathematics" }
actor of c? True Let f(l) = l**2 - 18*l + 71. Let c = -44 - -60. Is f(c) even? False Suppose 5*m - 41019 = -3*z, -54692 = -4*z - 8*m + 3*m. Suppose 37*p + 4682 = z. Does 3 divide p? True Let v = -1615 - -795. Does 31 divide (5/(100/(-36)))/(6/v)? False Suppose -8*n = -4*n. Suppose 0 = -3*k - n*k + 9. Suppose 0 = 7*o - ...
{ "pile_set_name": "DM Mathematics" }
2 What is the remainder when 1410 is divided by 697? 16 Calculate the remainder when 59 is divided by 35. 24 Calculate the remainder when 368 is divided by 74. 72 Calculate the remainder when 83 is divided by 28. 27 What is the remainder when 221 is divided by 57? 50 What is the remainder when 65 is divided by 44? 21 ...
{ "pile_set_name": "DM Mathematics" }
2 + 6*w - 27. Let u(b) = -9*k(b) + 4*t(b). Is u(4) a prime number? True Suppose -11*b = 19*b - 2910. Is b prime? True Suppose -9*p - 36 = -13*p. Let q(v) = -74*v - 9 + p + 7. Is q(-9) composite? False Suppose -7*v = -15 - 41. Let j(y) = 2*y**3 + 9*y**2 + 8*y - 7. Is j(v) prime? True Suppose -f + 5*g + 2097 = -1019, -f ...
{ "pile_set_name": "DM Mathematics" }
+ 123*c**2/7 - 3132*c/7. -c*(c - 87)*(c - 36)/7 Factor 6100*l**2 - 24*l. 4*l*(1525*l - 6) Factor -g**2 + 23893*g. -g*(g - 23893) Let -3*f**3 - 75303*f**2 - 225888*f - 150588 = 0. Calculate f. -25098, -2, -1 What is l in l**4/5 - 169*l**3/5 + 715*l**2 - 2755*l = 0? 0, 5, 19, 145 Find m, given that -m**2/4 + 153*m/4 + 12...
{ "pile_set_name": "DM Mathematics" }
pose -85 + 4 = -v*h - 3*k, 3*k - 106 = -4*h. Suppose -r + 33 = -h. What is the units digit of r? 8 Let y(l) be the first derivative of l**5/60 + l**4/4 + 7*l**3/6 - l**2 - 10. Let p(k) be the second derivative of y(k). What is the units digit of p(-9)? 4 Let y(x) = 3*x**3 - 2*x**2 + x. Let v be y(1). Suppose 0*i = -v*i...
{ "pile_set_name": "DM Mathematics" }
cked without replacement from iddmvrd? 1/42 What is prob of sequence jow when three letters picked without replacement from jbowowjvk? 1/63 What is prob of sequence ib when two letters picked without replacement from {z: 1, b: 2, h: 3, f: 1, i: 3}? 1/15 Three letters picked without replacement from {n: 8, b: 5}. What i...
{ "pile_set_name": "DM Mathematics" }
8 = p*z + i - 0*i, -3*z + 5*i = -148. Is z a composite number? True Let g(x) = -27*x**3 - 4*x**2 - 4*x - 3. Is g(-2) a prime number? False Let d = 15 + -86. Let u = -20 - d. Is u a prime number? False Let o(w) be the second derivative of -17*w**3/6 + w**2/2 - 10*w. Is o(-6) a prime number? True Suppose 6*m + 151 = 7*m....
{ "pile_set_name": "DM Mathematics" }
655 Calculate 0 divided by -6553076. 0 4469172 divided by -6 -744862 Calculate -11367161 divided by -13. 874397 Calculate 13915384 divided by -48. -1739423/6 26674620 divided by 6668655 4 Divide 10632354 by 18. 1772059/3 Calculate 3626691 divided by 1208897. 3 Divide 87 by -8137. -87/8137 1238 divided by 63106 619/3155...
{ "pile_set_name": "DM Mathematics" }
+ 3*u**4 + 0*u**2 + 3/2*u**3 + y*u = 0. Calculate u. -1, 0 Suppose 0 = -347*n + 344*n + 4*c - 16, -3*n + 2*c = 2. Let i(j) be the first derivative of 12*j**4 + n*j - 3 + 16/5*j**5 + 12*j**2 + 52/3*j**3. Factor i(l). 4*(l + 1)**2*(2*l + 1)**2 Let r(v) be the first derivative of 3*v**4/28 - 155*v**3/7 - 711*v**2/7 - 525...
{ "pile_set_name": "DM Mathematics" }
ase 9, what is -688 + 5? -683 In base 7, what is 0 - 144? -144 In base 3, what is -1221 + -1220? -10211 In base 13, what is 0 + -40? -40 In base 10, what is -466 - -4? -462 In base 6, what is 131 - -25? 200 In base 4, what is 2323321 + 10? 2323331 In base 8, what is 4 + 47? 53 In base 13, what is -3 + -7b? -81 In base ...
{ "pile_set_name": "DM Mathematics" }
, 0 = 5*i + 4*l - 17 for i. 5 Solve -2*d - 18 = 0, -5*u - 4*d - 3 = 43 for u. -2 Solve 3*q + 2*a = -179 + 208, 0 = -5*q - 13*a for q. 13 Solve 182*r + 23 = u + 184*r, -4*u + 2*r - 28 = 0 for u. -1 Solve v = 2*a - 12, -5*v - 51 = 626*a - 627*a for a. 1 Solve -4*r + 693*x + 12 = 691*x, -2*x = 16 for r. -1 Solve -3*f - 7 ...
{ "pile_set_name": "DM Mathematics" }
the second derivative of z(d) wrt d. -8 Let p be (2/4)/((-14)/140). Let r(u) = 2*u**2 + 5*u - 10. Let o be r(p). Find the first derivative of 15 - 7 - o + c**2 wrt c. 2*c Find the third derivative of -3 + 142*k**3 + 6 + 2*k**2 - 126*k**3 - 1 wrt k. 96 Let s(w) be the second derivative of -4*w**7/21 + w**4/4 + w**3/3 -...
{ "pile_set_name": "DM Mathematics" }
3, 23 Suppose 0 = t + 9*t - 20. What are the prime factors of t? 2 Let a(p) = -p**3 + p**2 + p - 3. Suppose 3*j + 2*w + 4 = -2, 4*j + 4*w + 8 = 0. List the prime factors of a(j). 7 Let p(w) = w**3 - 6*w**2 - w - 12. Let n be p(9). Let q = n - 70. List the prime factors of q. 2, 19 What are the prime factors of (4/5)/((...
{ "pile_set_name": "DM Mathematics" }
the remainder when 137 is divided by (-2)/(-6)*f + 6/9? 22 Let u = -5 + 9. Suppose 2*l + u*n + 58 = 3*l, 219 = 3*l + 3*n. Let d = 13 + 5. Calculate the remainder when l is divided by d. 16 Let m(u) = 2*u**2 - 20*u - 137. What is the remainder when 320 is divided by m(16)? 45 Let d(n) = -12*n - 69. Suppose 3*q - 6*q = ...
{ "pile_set_name": "DM Mathematics" }
/8 Calculate (-159)/(-207) + (57780/2349 - 25) + (-14)/(-203). 10/23 What is (-6 - 21)/216*22? -11/4 25415/(-455) + 56 + (-32)/322 1/23 What is the value of 6/(27216/(-1218)) - 1/(-4)? -1/54 -3 + -2 - 27/((-432)/(-784)) -54 Calculate (((-15)/9)/(327/(-9)))/(-6*120/288). -2/109 What is the value of 5202/270 - 19 - (-10)...
{ "pile_set_name": "DM Mathematics" }
52*g Find the third derivative of -64*g**3*r**2 + 48*g**3 - 19*g**2 + g*r**2 - r**2 + 6 wrt g. -384*r**2 + 288 Find the third derivative of -230*b**4*q - 23*b**4 - 4*b**3*q + 2*b**3 - 2062*b**2*q + 390*q wrt b. -5520*b*q - 552*b - 24*q + 12 What is the first derivative of -37399*q**3 + 249013 wrt q? -112197*q**2 Differ...
{ "pile_set_name": "DM Mathematics" }
2*k**3 + 3*k + 171 What is the k'th term of -1470521, -1470522, -1470523? -k - 1470520 What is the b'th term of 304, 327, 346, 361, 372, 379, 382? -2*b**2 + 29*b + 277 What is the f'th term of 2932, 2874, 2710, 2386, 1848, 1042? -9*f**3 + f**2 + 2*f + 2938 What is the y'th term of -4012, -4003, -3982, -3943, -3880? y**...
{ "pile_set_name": "DM Mathematics" }
+ 665 - 3*u**2 - 262 wrt u? -1872*u**3 - 6*u Let f(u) be the third derivative of -2473*u**4/24 - 37*u**3 - 2*u**2 + 3135. Differentiate f(l) wrt l. -2473 Let t(v) = 4*v - 16. Let s be t(5). Find the first derivative of -s*q - 59 + 4*q - 99*q**2 + 31*q**2 wrt q. -136*q Let u(g) = -g**3 - 10*g**2 + 13*g + 190. Let m be ...
{ "pile_set_name": "DM Mathematics" }
least common multiple of 34062 and 5610498? 39273486 Calculate the common denominator of -67/33660 and -43/11242440. 11242440 Calculate the smallest common multiple of 2200 and 84933200. 84933200 Calculate the lowest common multiple of 611 and 2862184. 134522648 What is the lowest common multiple of 2054462 and 7? 1438...
{ "pile_set_name": "DM Mathematics" }
3*o + 7. Suppose 5*q = -25, 4*q + o + 0 = -4*j. Let t(h) = 6*h - 2. Let n be t(j). What is the greatest common factor of n and 32? 16 Suppose 0 = 4*i + 16, 2*j + 2*i - 205 = -17. What is the highest common factor of 14 and j? 14 Suppose n = 4*a + 22, a - 4*a - 12 = 0. Calculate the highest common factor of n and 30. 6 ...
{ "pile_set_name": "DM Mathematics" }
t is the s'th term of 1591, 1590, 1589? -s + 1592 What is the f'th term of 234, 232, 230, 228, 226, 224? -2*f + 236 What is the t'th term of -6, -9, -10, -9? t**2 - 6*t - 1 What is the a'th term of -152, -302, -452, -602? -150*a - 2 What is the a'th term of -175, -353, -529, -703, -875, -1045, -1213? a**2 - 181*a + 5 W...
{ "pile_set_name": "DM Mathematics" }
435 - 688*sqrt(19) Simplify -4*((3 + 3*-6*(-2*sqrt(2800) - sqrt(2800)))**2 + 4). -32659252 - 25920*sqrt(7) Simplify (sqrt(152) - (sqrt(152) - (sqrt(152) - 3*(sqrt(152) - 5*sqrt(152)))) - -3*sqrt(152)*1)/(2*sqrt(24)/(sqrt(3) + sqrt(363))*-2). -48*sqrt(19) Simplify -2 + -6*(sqrt(112) - ((-4*sqrt(112) - sqrt(112)) + 5))**...
{ "pile_set_name": "DM Mathematics" }
5541? False Is 56364516 a multiple of 4153? True Is 21502046 a multiple of 1952? False Does 6 divide 8927787? False Does 164 divide 52776348? True Is 31570000 a multiple of 112? True Is 9 a factor of 1590921? True Is 107163176 a multiple of 2081? True Is 640725086 a multiple of 314? False Is 1114 a factor of 68583726? ...
{ "pile_set_name": "DM Mathematics" }
*2 - 13431406*y wrt y. 29671322 Find the second derivative of -63246*r**4 + 52*r**3 - 2*r**2 + 5*r + 999939. -758952*r**2 + 312*r - 4 Differentiate 10*b*l**2*w + 7332*b*l**2 + 9*b*l + 3*l**2*w - 3*l**2 - 2784*l + 2*w + 8 wrt b. 10*l**2*w + 7332*l**2 + 9*l What is the third derivative of 708068060*a**6 + 1218035700*a**2...
{ "pile_set_name": "DM Mathematics" }
remainder when 36621 is divided by 241. 230 Calculate the remainder when 3536 is divided by 107. 5 What is the remainder when 2639 is divided by 1242? 155 What is the remainder when 140 is divided by 86? 54 Calculate the remainder when 1417 is divided by 513. 391 Calculate the remainder when 13702 is divided by 1365. ...
{ "pile_set_name": "DM Mathematics" }
-1239 What comes next: -4093122, -8186264, -12279408, -16372554, -20465702, -24558852, -28652004? -32745158 What comes next: 14042096, 14042080, 14042064, 14042048? 14042032 What comes next: 11975294, 23950589, 35925884, 47901179, 59876474? 71851769 What is next in -285, -65, 669, 1923, 3703, 6015? 8865 What is next in...
{ "pile_set_name": "DM Mathematics" }
the ninth root of 897223 to the nearest integer? 5 What is 15553000 to the power of 1/10, to the nearest integer? 5 What is the cube root of 525938 to the nearest integer? 81 What is the square root of 197247 to the nearest integer? 444 What is the square root of 6255018 to the nearest integer? 2501 What is the fourth ...
{ "pile_set_name": "DM Mathematics" }
) - (-38)/2299*11. What is the biggest value in 0.6, m, b? b Suppose 4*y + 106 = -21*p, -5*y - 57*p = -52*p + 5. Which is the fourth smallest value? (a) y (b) 0.02 (c) -5 (d) -2/37 a Let t = -4 + 4.1. Let w = 12.354 - -0.046. Let x = w - 11.5. What is the biggest value in x, -2/19, -0.5, t? x Suppose -54 = -3*z - 3...
{ "pile_set_name": "DM Mathematics" }
3*f. What is the tens digit of f? 9 Suppose -45*v + 189865 = 70*v. What is the units digit of v? 1 Let j(q) = q**3 - 6*q**2 + q + 6. Let o be j(6). Let p(a) = -14 + 5 + 21*a + o*a. What is the hundreds digit of p(5)? 1 Let b(c) = c**2 - 564 - 31*c + 7*c + 552. Let m be b(25). Let a = 37 + m. What is the tens digit of a...
{ "pile_set_name": "DM Mathematics" }
c = 528 - 370. Let i = c - 157.99999668. Round i to six decimal places. 0.000003 Suppose j = -4*j. Let c be j/(0 + 1 + -3). Suppose 3*b + 4*b + 23800000 = c. What is b rounded to the nearest one million? -3000000 Let t = 283.0000254 - 283. What is t rounded to 6 decimal places? 0.000025 Let w = 264 + -263.99999897. Ro...
{ "pile_set_name": "DM Mathematics" }
d without replacement from {x: 1, t: 3, b: 4, q: 4, a: 4}? 1/1820 Two letters picked without replacement from {b: 9, q: 9}. Give prob of picking 2 q. 4/17 Calculate prob of picking 2 m when two letters picked without replacement from bbbnmumnmombummonqoo. 3/38 Calculate prob of picking 1 f and 2 w when three letters pi...
{ "pile_set_name": "DM Mathematics" }
divisor of 99 and 66? 33 What is the greatest common divisor of 470 and 188? 94 What is the highest common divisor of 8710 and 520? 130 Calculate the greatest common divisor of 242 and 9075. 121 What is the greatest common divisor of 56 and 1264? 8 Calculate the highest common factor of 138 and 3657. 69 What is the hi...
{ "pile_set_name": "DM Mathematics" }
of 1922, 7147, 15854, 28043, 43714, 62867, 85502? 1741*q**2 + 2*q + 179 What is the j'th term of -195226, -390453, -585680? -195227*j + 1 What is the h'th term of 200, 408, 616, 824? 208*h - 8 What is the u'th term of 1892, 15277, 51608, 122357, 238996, 412997, 655832, 978973? 1912*u**3 + u**2 - 2*u - 19 What is the j...
{ "pile_set_name": "DM Mathematics" }
ctor of 11983374? False Is 14083985 a multiple of 36? False Does 647 divide 262218748? True Does 75 divide 26502446? False Is 2466496680 a multiple of 753? True Is 12 a factor of 248109468? True Is 1759391578 a multiple of 60? False Does 33 divide 323113641? False Is 18 a factor of 2639736? True Is 1779751633 a multipl...
{ "pile_set_name": "DM Mathematics" }
40127 List the prime factors of 1217. 1217 What are the prime factors of 3507? 3, 7, 167 List the prime factors of 43321. 43321 What are the prime factors of 52013? 13, 4001 List the prime factors of 4837. 7, 691 List the prime factors of 442. 2, 13, 17 List the prime factors of 39151. 7, 17, 47 What are the prime fact...
{ "pile_set_name": "DM Mathematics" }
943 a prime number? True Is 5408857 a composite number? False Is 20093 a composite number? True Is 1709 prime? True Is 2191 a prime number? False Is 272683 a prime number? True Is 4741 prime? False Is 31793 a composite number? False Is 58361 prime? False Is 34217 a composite number? False Is 33541 composite? True Is 56...
{ "pile_set_name": "DM Mathematics" }
1/7 (b) -4/39 (c) 0.3 (d) -0.5 (e) -0.23 (f) 19 d Which is the third biggest value? (a) 370 (b) -83 (c) 0.09 (d) -2/9 d Which is the fourth smallest value? (a) -2/7 (b) 0 (c) -4 (d) 9 (e) 80/51 (f) -5 b Which is the sixth biggest value? (a) 2/15 (b) 1.7 (c) -0.5 (d) 0.05 (e) -0.1 (f) 4 (g) -20/7 ...
{ "pile_set_name": "DM Mathematics" }
d 28? 140 Suppose 5*b - 2*i - 40 = 3*i, -2 = i. Calculate the least common multiple of b and (-3)/(-9) + 8/3. 6 Let s be (0 - -1)*(-90)/(-10). Calculate the common denominator of 43/11 and 220/(-72)*-2 - (-3)/s. 99 Let i be 6/8 - 1263/(-396). Let j = 301/55 - i. What is the common denominator of -28/9 and j? 45 Suppose...
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to 62? (a) 3/7 (b) 0.3 (c) -1 (d) 4 d Which is the closest to -2? (a) -0.2 (b) 0.3 (c) -0.5 (d) -2/11 c What is the closest to 1/2 in 2/5, -8, 0.01, 0.1? 2/5 Which is the nearest to -1? (a) 22 (b) 5 (c) -3 (d) -2.2 d Which is the closest to -3? (a) 3/7 (b) -4.1 (c) 3 b What is the neare...
{ "pile_set_name": "DM Mathematics" }
m**2 - 4 - 2*m + 14*m**4 + 2 - 12*m**4 in the form t + z*m**2 + c*m**3 + v*m**4 + h*m and give v. 2 Rearrange -31*c**2 + 11*c**2 + 0 + 0 to the form v*c + z + f*c**2 and give f. -20 Rearrange (2*v + 5 - 5 - 5*v + 2*v + 4*v + (-6 + 3 + 2)*(v + 0*v + v) + 4*v + v - 3*v)*(-3 - 10 + 29) to b*v + k and give b. 48 Rearrange ...
{ "pile_set_name": "DM Mathematics" }
llect the terms in -1020*n - 997*n - 1017*n + 4022*n - 923 - 1019*n. -31*n - 923 Collect the terms in 288038*x**2 + 394912*x**2 - 121903*x**2. 561047*x**2 Collect the terms in -125 - 8227*c - 122 + 247 - 13428*c. -21655*c Collect the terms in 31*h**3 - 37*h**3 + 11 + 33*h**3. 27*h**3 + 11 Collect the terms in 8874*w**2...
{ "pile_set_name": "DM Mathematics" }
= 7*d - 242. Suppose -d*j = -70*j - 1904. What are the prime factors of j? 2, 7, 17 Suppose 8*b - 6*b - 1210 = 3*k, b - 1620 = 4*k. Let g = k - -824. What are the prime factors of g? 2, 11, 19 Suppose 0 = t + 2*t - 3*v, -2*t = -v. Let b(h) = h**3 + 9*h**2 - 11*h - 2. Let c be b(-10). Suppose t = -4*l - c + 68. List th...
{ "pile_set_name": "DM Mathematics" }
-91256.18106 + 91257. Let v = -0.82 + o. What is v rounded to four decimal places? -0.0011 Let h(g) = -1190028*g - 20. Let n(c) = -c + 1. Let w(q) = 4*h(q) + 88*n(q). Let x be w(5). Let l = 40400992 + x. What is l rounded to the nearest one million? 17000000 Let y(d) = d**3 - 2*d**2 + d + 2. Let q be y(2). Suppose 0*j ...
{ "pile_set_name": "DM Mathematics" }
85654543 What is 0.16 plus 500143376423? 500143376423.16 24522345548.8 + -105 24522345443.8 Sum 117.55757153 and 32.7. 150.25757153 What is 1263714 - -40078? 1303792 Add 0.039553 and -23907018. -23907017.960447 Put together -776.933859 and -888. -1664.933859 Sum -1949802711 and -20755. -1949823466 Subtract -734901.753 ...
{ "pile_set_name": "DM Mathematics" }