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5/13 + k. What is the second biggest value in 39, 5, -3, z? 5 Let n = 0.07 + -5.07. Suppose 87*i - 66*i + 21 = 0. Which is the second biggest value? (a) n (b) -5.7 (c) i a Let u = -3120 + 3119.8. What is the smallest value in u, -22.8, 0? -22.8 Let k be 48/(-44)*474/(-28). Let h = k + -128/7. Let m be (-480)/50 + 11...
{ "pile_set_name": "DM Mathematics" }
7 Solve 30613898*s - 30613596*s = -31710 for s. -105 Solve 159*p = -10672 + 14170 for p. 22 Solve 2831 - 5517 = 414*j + 8906 for j. -28 Solve 0 = 24170*i - 19961*i + 46299 for i. -11 Solve 0 = -927*w + 1892*w - 927*w - 342 for w. 9 Solve -1145*y = -637*y + 961*y + 10283 for y. -7 Solve -326*a + 312*a + 264 = 82 for a. ...
{ "pile_set_name": "DM Mathematics" }
5? 5*g**2 + 115 What is the o'th term of 500, 1978, 4446, 7910, 12376, 17850? o**3 + 489*o**2 + 4*o + 6 What is the f'th term of -44, -131, -232, -347? -7*f**2 - 66*f + 29 What is the d'th term of -27, -88, -197, -360, -583? -d**3 - 18*d**2 - 8 What is the a'th term of 116, 104, 88, 68? -2*a**2 - 6*a + 124 What is the ...
{ "pile_set_name": "DM Mathematics" }
lve 36*t = 39*t for t. 0 Solve 3 + 2 = l for l. 5 Solve -14*m - 83 = -13 for m. -5 Solve -156*j = -172*j for j. 0 Solve -18*h + 0*h = 54 for h. -3 Solve -10*y + 15 - 5 = 0 for y. 1 Solve -16*j + 36 = -4*j for j. 3 Solve 0 = 17*u - 5*u for u. 0 Solve -8*o - 38 = 18 for o. -7 Solve -62*q = -61*q + 2 for q. -2 Solve 0 = -...
{ "pile_set_name": "DM Mathematics" }
. Solve f = 5*q + s - 11 for q. 2 Suppose 101*u - 256 = -s + 98*u, -2*u + 528 = 2*s. Solve -288 + s = -5*t for t. 4 Suppose 5*q - 14 = -2*m, m = -m - 2*q + 8. Suppose 6*h - 12 = 4*h. Suppose 5*j = 4 + h. Solve -j = m*w + 8 for w. -5 Let x be 47/8 + ((-2159)/136 - -16). Solve -x*g = -9*g for g. 0 Suppose 0 = 5*j + 2*x -...
{ "pile_set_name": "DM Mathematics" }
4998*w - 32. Let o be s(a). What is o rounded to the nearest one hundred thousand? -2300000 Let j = -112 - -230. Suppose j + 36 = -7*i. Let r be (-8)/44 + 87999996/i. Round r to the nearest one million. -4000000 Let k be -4116 + -1 - (12/(-2) - (2 - 4)). What is k rounded to the nearest 10000? 0 Let m = -3.262140529 - ...
{ "pile_set_name": "DM Mathematics" }
+ d*a**2 + c*a + k and give d. 2 Rearrange (-4*l - 3 + 3)*(0*l + 0*l + 2*l) - 164*l**2 - 1 - 97*l**2 + 122*l**2 to o*l + u*l**2 + q and give q. -1 Rearrange 65*a**3 + 4*a + 30*a**2 - 17*a**3 - 53*a**3 to the form l*a + b*a**3 + k*a**2 + o and give l. 4 Rearrange ((2*l - 2*l + l)*(3 - 8 + 3) + 3*l - 2*l - 2*l + 2*l - l...
{ "pile_set_name": "DM Mathematics" }
t the terms in -7*n**3 - 7*n**3 + 60*n**2 - 260*n**2 + 104*n**2 + 96*n**2. -14*n**3 Collect the terms in -30*z**2 - 26*z**2 - 21*z**2 + 74*z**2. -3*z**2 Collect the terms in 4703*c - 2612*c + 3836*c. 5927*c Collect the terms in -40 + 267*t**2 + 8*t - 3*t - t + 42. 267*t**2 + 4*t + 2 Collect the terms in -18*s**3 - 16*s...
{ "pile_set_name": "DM Mathematics" }
n)? -n - 1 Let t(i) = -9*i**3 + 8*i - 8*i. Let o(f) be the first derivative of -f**4 + 3. What is 13*o(y) - 6*t(y)? 2*y**3 Let s(z) = -10*z**2 - 4*z - 3. Let c(i) = -31*i**2 - 13*i - 10. Calculate -2*c(y) + 7*s(y). -8*y**2 - 2*y - 1 Suppose -2*b - 5 = -3. Let m(f) = -f - 4. Let c(i) = -1. Give b*m(u) + 5*c(u). u - 1 Le...
{ "pile_set_name": "DM Mathematics" }
26 = 3*u, x*u + 3*u - 2*v = 44. Solve -r + u = r for r. 4 Suppose 3*o + 3*h - 3 = 0, 0 = -3*h + h - 2. Suppose -6*w + w = 4*f - 25, o*f - 7 = 3*w. Let v = f + 0. Solve n + v = 1 for n. -4 Suppose 0*z - 9 = -3*z. Suppose 4*c - 20 = -3*l, -2*l + 5 = -z. Suppose 5*h - 20 = -5*k, k = h + 3*h - 1. Solve 2*w = k*w + c for w....
{ "pile_set_name": "DM Mathematics" }
, r Let t = 0.5 + -1. Let g = -4 + 12. Suppose -5*y - g = 3*w, 5*y + 16 = -0*w - w. Sort t, 0.5, y. y, t, 0.5 Let a be (30/25)/((-3)/10). Sort a, 3, -5. -5, a, 3 Let w be 1*-2*(-2 + (-66)/(-12)). Put -2, w, 5, -4 in increasing order. w, -4, -2, 5 Suppose 3*y + 0 = -5*g + 4, -2*y + 9 = -3*g. Let t be (-1)/(y*1/9). Let p...
{ "pile_set_name": "DM Mathematics" }
0. What is the remainder when c is divided by w? 5 Suppose -h - 55 = -r, 0 = 3*r + 5*h - 40 - 101. What is the remainder when 151 is divided by r? 47 Calculate the remainder when 48 is divided by (3 - 190/(-8)) + (-9)/12. 22 Suppose 0 = 2*p - 4*d - 48, 2*d = 3*p - 0*d - 68. Calculate the remainder when 109 is divided b...
{ "pile_set_name": "DM Mathematics" }
enominator of y and o. 8 Let r(y) = 6 + 2*y + 2*y - 2*y. Let l be r(7). Suppose -4*g = g - l. What is the lowest common multiple of 3 and g? 12 Suppose -r - 3*u = -2, 2*r + 0 = 3*u + 4. Calculate the least common multiple of r and 3. 6 Find the common denominator of (-2)/9 + (-2728)/144 and 17/8. 24 Let h = -10 - -24. ...
{ "pile_set_name": "DM Mathematics" }
12. What is n(2)? 692 Let g(k) = 2323*k + 257858. Determine g(-111). 5 Let s(b) = -11*b**2 - 965*b + 386. What is s(-88)? 122 Let l(z) = -655*z**2 + 91047*z - 278. What is l(139)? 0 Let v(f) = -1245*f**2 + 6124*f + 517. Determine v(5). 12 Let b(w) = 2115*w + 57149. Determine b(-27). 44 Let u(j) = j**3 - 149*j**2 - 332*...
{ "pile_set_name": "DM Mathematics" }
t f = 55/1064 + 3/56. What is the second biggest value in -23/3, f, -3/4? -3/4 Suppose 0 = 5*f + 14*f + 38. Which is the third biggest value? (a) f (b) 5 (c) 10 (d) -0.5 d Suppose 0 = 3*n + 2*g - 7*g + 41, 3*n = g - 25. Let t = 17 - 12.1. Let a = t - 5.4. What is the third smallest value in n, a, -1/5? -1/5 Let g b...
{ "pile_set_name": "DM Mathematics" }
c(w) = -w**2 + w - 1. Let a(j) = -6*j**2 + 6*j - 31. Let u(i) = -a(i) + 5*c(i). Let s be u(-19). Round s to the nearest 100. 400 Let b be (915500/(-5))/((-14289)/1100 + 13). Round b to the nearest 1000000. -18000000 Let v = -557.1 - -557.0999996147. What is v rounded to seven decimal places? -0.0000004 Let v = 470.15 ...
{ "pile_set_name": "DM Mathematics" }
- 10. Let n be c(z). What is the highest common factor of q and n? 9 Suppose 2*s - 3 = 31. Suppose 0 = -0*h - 14*h + 14. Calculate the greatest common factor of h and s. 1 Suppose 0 = -12*h + 2010 + 12690. What is the highest common factor of h and 7? 7 Let v be 28/6 - 6/(-18). Let r = v + -3. Let n be (1 + -24)*r/(-2)...
{ "pile_set_name": "DM Mathematics" }
73))) 80 Evaluate (18 - (-89 + 73)) + -39 - (1 + -83 + -1). 78 Evaluate 27 - (-15 + (11 - 12) - -33) - (-63 + 1). 72 What is the value of 297 + -315 - (6 - 2 - -4)? -26 14 + (14 + -14 - (-6 + 54)) -34 What is (19 - 117) + 87 + (6 - 4 - -36)? 27 Evaluate 54 - (8 - (14 + -9 + 1 + -5 + 14)). 61 131 + -29 + -26 - 50 26 Cal...
{ "pile_set_name": "DM Mathematics" }
cond smallest value? (a) -25/3 (b) -1/3 (c) 1.1 (d) 58 b What is the third smallest value in 1, -58, 1/104673? 1 What is the fifth smallest value in 4, 0.46, 13.7, -0.3, -0.4? 13.7 Which is the third biggest value? (a) 3/5 (b) 1/4 (c) 32 (d) 0.2 (e) 2/13 (f) 1/3 f What is the biggest value in -127, -4, -0.14,...
{ "pile_set_name": "DM Mathematics" }
is the value of ((-3)/(-4))/((-2190)/(-5840))? 2 Calculate 2/(4/8*-14 + (-483)/(-63)). 3 What is the value of (-10)/(((-21)/(-14))/(120/32))? -25 What is the value of 16 + 7/(-21)*48? 0 Evaluate (-1 + (-9)/(-7))/(-26 + (-21936)/(-840)). 5/2 What is the value of ((-158)/(-1501))/((-2)/(-19))? 1 Calculate 18/(252/238) + ...
{ "pile_set_name": "DM Mathematics" }
s before 10:00 PM? 5:51 PM What is 646 minutes after 2:37 PM? 1:23 AM How many minutes are there between 2:23 AM and 1:28 PM? 665 How many minutes are there between 2:55 PM and 2:26 AM? 691 How many minutes are there between 9:18 PM and 12:45 AM? 207 What is 398 minutes before 2:32 AM? 7:54 PM What is 88 minutes before...
{ "pile_set_name": "DM Mathematics" }
j is positive. j**(-67/2) Simplify (l/((l*(l**(-1/19)*l*l)/l*l)/l*l))/(l*(l/(l/(l*l**(-1/9))))/l)*l**(9/7)*l*l**(16/3) assuming l is positive. l**(5725/1197) Simplify (w**21*w)/(w*w**(-13/2))*(w**5)**(-4/23) assuming w is positive. w**(1225/46) Simplify (x**(-2/11))**(22/5)/((x/x**(1/2))/x)**(-20/3) assuming x is posit...
{ "pile_set_name": "DM Mathematics" }
ive of 1/2*s**2 + 0*s - d. Let l(b) = 4*b + 6. Calculate l(g(p)). 4*p + 6 Let p(m) be the first derivative of 4*m**3/3 + 1221. Let z(q) = q**2 + 3. Let t be z(4). Let j(u) = t*u**2 - 11*u**2 + 0*u + 0*u. Determine p(j(h)). 256*h**4 Let n(i) = -5*i - 7. Let z(t) = -5*t - 6. Let u(f) = -5*f**3 + 29*f**2 + 7*f + 1. Let w ...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {r: 1, b: 3, i: 3, u: 1, f: 2}. What is prob of sequence urb? 1/240 Calculate prob of sequence qgg when three letters picked without replacement from {s: 2, g: 2, q: 9}. 3/286 Four letters picked without replacement from {n: 1, a: 9, r: 2, f: 1}. Give prob of sequence nfaa. 3/715 Two let...
{ "pile_set_name": "DM Mathematics" }
(q) - 3*u(q). Let s(y) = 12*y**2 - 66*y. Calculate -2*s(m) + 27*x(m). 3*m**2 - 3*m Let c(s) = 66*s**3 - 27*s**2 + 27*s - 27. Suppose -46*l = -39*l - 378. Let q(b) = -5*b**3 + 2*b**2 - 2*b + 2. Calculate l*q(k) + 4*c(k). -6*k**3 Let d = 19 + -28. Let g(t) = -2*t**2. Let j(p) = -8*p**2. Let q be 80/44 + 0 + 8/44. Calcula...
{ "pile_set_name": "DM Mathematics" }
tal of 60 and -0.16. 59.84 What is -96 - -0.12446? -95.87554 Add together -0.2 and 80.73. 80.53 What is 39208.8 less than 1? -39207.8 What is 5852 less than -10.9? -5862.9 Calculate -104727 - -0.4. -104726.6 Calculate 367 + 1483. 1850 Calculate 27294 + 5. 27299 -15.6 - -3.42 -12.18 Work out 1030537 - 0. 1030537 What is...
{ "pile_set_name": "DM Mathematics" }
18636? True Is -0.2 at most -2736? False Is -1/463 > 0? False Which is greater: -100 or -95? -95 Which is smaller: -1 or 3/27466? -1 Is 60 at most as big as 19? False Which is greater: -328/15 or -21? -21 Is -807 != 0.1? True Is -41 <= -66? False Which is smaller: 15/266 or -1? -1 Which is smaller: 392 or 2? 2 Which is...
{ "pile_set_name": "DM Mathematics" }
sor of 1793 and 201377? 11 What is the highest common factor of 54 and 17542134? 18 What is the highest common divisor of 93939856 and 15744? 656 Calculate the greatest common divisor of 8044 and 265616902. 4022 What is the greatest common divisor of 280419 and 23421? 633 Calculate the highest common factor of 512 and ...
{ "pile_set_name": "DM Mathematics" }
. Let q(h) = 9*h**2 + h + 2. Let l(a) = -4*q(a) - 5*z(a). What is l(-4)? 2 Let i(l) = l**2 + l - 1. Let d be -1 - -5 - (2 + 2 + -2). What is i(d)? 5 Let f(d) = -d**3 - 6*d**2 + 7*d - 5. Let c = 178 - 185. What is f(c)? -5 Let v(j) be the first derivative of -j**5/60 - j**4/24 + j**3/6 - 10*j**2 + 8. Let d(m) be the sec...
{ "pile_set_name": "DM Mathematics" }
r? True Is 149689 a prime number? True Is 816947 a composite number? False Is 2917 prime? True Is 22478 composite? True Is 484837 prime? False Is 19898 composite? True Is 559 composite? True Is 6445 a composite number? True Is 1945439 a composite number? False Is 4777 composite? True Is 181561 a composite number? True ...
{ "pile_set_name": "DM Mathematics" }
of c? False Is -7 - (-335 + 15/3) a multiple of 17? True Suppose 4*i + 4*h - 124 = 0, h + 44 + 65 = 3*i. Let r = 44 - i. Is r a multiple of 2? False Suppose 2040 = 7*q - 634. Does 22 divide q? False Let t = 6 - 15. Let a be (-2)/(-3) - 174/t. Let r = 22 - a. Is 2 a factor of r? True Does 39 divide (-26)/(-39) + (-2560)...
{ "pile_set_name": "DM Mathematics" }
2}. 10/21 What is prob of picking 1 i, 1 e, and 2 l when four letters picked without replacement from {e: 2, f: 1, l: 3, i: 1}? 6/35 What is prob of picking 2 u when two letters picked without replacement from ubbbbbub? 1/28 What is prob of picking 1 b, 1 l, and 1 e when three letters picked without replacement from l...
{ "pile_set_name": "DM Mathematics" }
c(-4)? 3 Let o = -43337 + 73448. What is the thousands digit of o? 0 Suppose 5*b + 19 = -2*d, 5*d - 5*b - 4 - 1 = 0. Let r be ((3 + -4)*5)/d*2. Suppose 0 = 5*l + z - 118, -r*l + 0*l = -z - 122. What is the units digit of l? 4 Let h(j) = 48*j**2 - 153*j - 4367. What is the hundreds digit of h(-27)? 7 What is the thousa...
{ "pile_set_name": "DM Mathematics" }
- 18 = 0. Let t(u) = -12*u**2 - 2*u + 2. Let y be t(l). What is the smallest common multiple of 18 and (-1)/((-1 + 5)/y)? 18 Let c = 1945225/656838 + 1/25263. Calculate the common denominator of c and ((-31)/(-2))/((-12)/2). 156 What is the lowest common multiple of 5 and ((-5)/2)/(-3 + ((-1713)/570 - -6))? 475 Suppos...
{ "pile_set_name": "DM Mathematics" }
k = -65 + 87. Suppose 17 + k = 13*m. Find the third derivative of 8*s**2 + 2*s**2 - 19*s**m + 48*s**3 wrt s. 174 Let q(z) = -7666*z + 1419. Let h(r) = -r + 14. Let t(i) = h(i) - q(i). Differentiate t(v) wrt v. 7665 Find the first derivative of 37*r - 88*r**2 + 5803608*r**3 - 4508 - 10*r - 5803610*r**3 wrt r. -6*r**2 - ...
{ "pile_set_name": "DM Mathematics" }
e nearest one thousand. -422000 What is 3578.5617 rounded to the nearest 10? 3580 Round 0.00993232345 to 4 decimal places. 0.0099 Round 183955623 to the nearest one hundred thousand. 184000000 Round -1757267.51 to the nearest 10000. -1760000 Round 0.000984116445 to 6 decimal places. 0.000984 Round 32.3129743 to the nea...
{ "pile_set_name": "DM Mathematics" }
. Let q(s) = -2*s**2 - s + 3. Calculate 5*n(p) + 6*q(p). 3*p**2 - p - 2 Let s(w) = 2*w**3 + 3*w**2 - 24*w - 3. Let q(a) = a**2 - a - 1. What is 5*q(m) - s(m)? -2*m**3 + 2*m**2 + 19*m - 2 Let u = 2 + 1. Suppose 0 = -m + h + 4, -h - 3*h = -u*m + 10. Let v(p) = 6*p**2 + 6*p - 4. Let d(l) = -7*l**2 - 7*l + 5. Calculate m*v...
{ "pile_set_name": "DM Mathematics" }
6)/(sqrt(16)/sqrt(50))*4. -1028*sqrt(7) + 9268 Simplify (-4 + (sqrt(21)/sqrt(3))**2)*-1*-4*-5 + -5*-5*(-1 + sqrt(700) + 1)**2. 17440 Simplify ((-3*-2*sqrt(630)*2)/(sqrt(1000) + sqrt(1000)*-2*4))**2. 324/175 Simplify 3*(-1*sqrt(19) + 4)*-2*-1 - (-6*(1*sqrt(1900)*2 + 1*sqrt(1900) + -5))**2. -616476 + 10794*sqrt(19) Simpl...
{ "pile_set_name": "DM Mathematics" }
implify n*n**(7/4)*(n**(3/5)*n*n)/n*(n*n/n**4)/n*n*n**(-12) assuming n is positive. n**(-193/20) Simplify i*i**11/i*i**9*(i*i*i**2/i*i)**(-3/16) assuming i is positive. i**(77/4) Simplify (l/(l*(l*l*(l*l*l/(l*l/((l*l**(-2/39))/l)))/l)/l))**45*(l/l**(-6/7)*l)**(-15/2) assuming l is positive. l**(-5835/91) Simplify (((q*...
{ "pile_set_name": "DM Mathematics" }
y**3 + 11*y**2 + 5*y + 7. Let p(d) = 8*d**3 + 5*d**2 + 2*d + 3. Let n(t) = 7*p(t) - 3*u(t). Calculate the remainder when 22 is divided by n(1). 4 Let k be -2 + 2 + (-1 - -3). Suppose -k*l - 2*l = 0. Suppose -3*b - 4*r + 78 = l, 0*b - 4*r = 2*b - 52. What is the remainder when b is divided by 14? 12 Suppose -4*h + 5*h -...
{ "pile_set_name": "DM Mathematics" }
/314 Divide -12291 by -4. 12291/4 Divide 362 by -5. -362/5 What is 391 divided by 7? 391/7 Divide -7 by 240. -7/240 Calculate -12474 divided by 6. -2079 What is -234 divided by 2? -117 Divide -16 by 2. -8 Divide -4 by -101. 4/101 5 divided by 127 5/127 0 divided by -256 0 256 divided by -16 -16 What is 3 divided by 308...
{ "pile_set_name": "DM Mathematics" }
059 is divided by 526? 37 What is the remainder when 101428 is divided by 845? 28 What is the remainder when 42817 is divided by 133? 124 Calculate the remainder when 496793 is divided by 828. 821 What is the remainder when 8719703 is divided by 584? 583 What is the remainder when 494 is divided by 469? 25 Calculate th...
{ "pile_set_name": "DM Mathematics" }
5, -155414, -223797? -6217*k**2 + 4*k - 9 What is the p'th term of -8293, -8261, -8251, -8275, -8345, -8473, -8671, -8951? -2*p**3 + p**2 + 43*p - 8335 What is the i'th term of -717, -994, -1273, -1554, -1837? -i**2 - 274*i - 442 What is the u'th term of 766281, 1532561, 2298841? 766280*u + 1 What is the v'th term of -...
{ "pile_set_name": "DM Mathematics" }
many millimeters are there in 17/4 of a meter? 4250 What is 3390.883 years in decades? 339.0883 What is twenty-five halves of a gram in milligrams? 12500 How many meters are there in 3/10 of a kilometer? 300 Convert 0.510536 nanometers to centimeters. 0.0000000510536 What is 0.7484611 centuries in months? 898.15332 Co...
{ "pile_set_name": "DM Mathematics" }
01/3, -2, 1 Suppose -125*z**3/3 - 375200*z**2/3 + 150095*z/3 - 15010/3 = 0. Calculate z. -3002, 1/5 Let 2*x**5/5 + 40*x**4 + 2026*x**3/5 - 7508*x**2/5 + 1056*x = 0. Calculate x. -88, -15, 0, 1, 2 Solve -3*n**4/2 + 840810*n**3 - 117824386893*n**2 - 706969023390*n - 2120929772283/2 = 0 for n. -3, 280273 Factor -5*z**4 + ...
{ "pile_set_name": "DM Mathematics" }
and give h. -160 Rearrange -21*b - 85 - 2*b**2 + 85 to y + a*b + s*b**2 and give s. -2 Rearrange (-2*j + 7*j - 2*j)*(-3 - 4 - 2)*(3*j - 3*j + 4*j) - j**2 + 2*j**2 + 0*j**2 to the form p*j**2 + u + h*j and give p. -107 Express 34*q**3 + 149*q**2 - q - 80*q**2 - q**4 - 71*q**2 in the form p + b*q**2 + a*q + n*q**4 + h*q...
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -2296 - 2283 + 8*a**2 - 2282 + 6861 - 21*a**2. -13*a**2 Collect the terms in -146*w**2 - 184 - 185 + 369 - 674*w**2 - 62*w**2. -882*w**2 Collect the terms in 1386*v**2 + 1386*v**2 - 3940*v**2 + 1189*v**2. 21*v**2 Collect the terms in -16*x**2 - 17*x**2 + 497*x + 1605*x - 21*x**2 + 52*x**2. -2*x**2...
{ "pile_set_name": "DM Mathematics" }
Let z(y) = 1. Let i(d) = -2*d - 4. Let u(n) = i(n) + 3*z(n). Let x be u(-2). Is x <= 3? True Let w(o) be the third derivative of o**5/60 - o**4/2 - 2*o**3 - 2*o**2. Let x be w(13). Do 1/9 and x have the same value? False Suppose -g + 3 = 5*u - 0*u, u + 5 = -3*g. Is g != 8? True Suppose -25 = -4*i + d, i - 23 = 4*d + 2...
{ "pile_set_name": "DM Mathematics" }
= j. Suppose -2*z - z + 171 = v. Is z a composite number? True Let s = 3805 - -3544. Is s prime? True Let g be (2 + -1 - 3)*-4. Suppose -2*i - 4 = 0, 3*k = g*k - 4*i - 343. Is k a composite number? False Suppose -3*b = -7*b - 632. Let d = b - -349. Is d a composite number? False Let u be 3 - (-3 + 5 - -3). Let i(m) be...
{ "pile_set_name": "DM Mathematics" }
st value? (a) 529/5 (b) -92 (c) -0.01 (d) -2 b Which is the fifth smallest value? (a) -65 (b) -0.2 (c) 0.1 (d) 2/5 (e) 6 (f) 3.4 (g) 1 g Which is the fifth smallest value? (a) -9.5 (b) -0.3 (c) -10 (d) 3 (e) -731 d What is the biggest value in -0.97, 3, 1/4, 982/9, -1/5, -1? 982/9 Which is the third sma...
{ "pile_set_name": "DM Mathematics" }
qual to g? True Let g(t) = 42*t + 504. Let f be g(-12). Are -120 and f nonequal? True Let f = 11937639/3868 + -12345/4. Which is smaller: f or 0? 0 Let u be ((-136)/(-32) - 4)/((520/35)/8). Is u at least 1? False Let z = 3072 + -4897. Let v be (-24)/(-30) - 1 - 340/z. Which is greater: v or 2? 2 Let a be 21 - -6 - 1*3....
{ "pile_set_name": "DM Mathematics" }
+ (1 + 6*(sqrt(192) + 0 + sqrt(192)))**2. 200*sqrt(3) + 31494 Simplify (sqrt(272)*-6 - (sqrt(136) + sqrt(136)*1 - sqrt(136) - sqrt(136))/sqrt(8))**2 + (sqrt(17) + sqrt(153)/(1*sqrt(9)))**2 + (sqrt(2448) + -1)**2. -24*sqrt(17) + 12309 Simplify (-4 + sqrt(75) + sqrt(3))**2 + -2*sqrt(9)/sqrt(3) + -3 + (sqrt(243) - (sqrt(2...
{ "pile_set_name": "DM Mathematics" }
there between 9:37 PM and 6:36 AM? 539 What is 111 minutes after 2:54 AM? 4:45 AM What is 558 minutes before 8:19 PM? 11:01 AM How many minutes are there between 3:52 AM and 7:06 AM? 194 How many minutes are there between 12:31 AM and 10:49 AM? 618 How many minutes are there between 7:54 AM and 1:17 PM? 323 What is 35...
{ "pile_set_name": "DM Mathematics" }
*(3/13) assuming j is positive. j**(-88/13) Simplify (((u*u**(7/12))/u)**(-20/7)*u**(2/55)*u**42)**(-15) assuming u is positive. u**(-6661/11) Simplify ((y**(2/3))**(-46)*(y/(y**(1/4)*y))**(-3/5))/((y**(2/5)/y)/(y/y**1))**(-42) assuming y is positive. y**(-3343/60) Simplify ((g/g**(-2)*g)**16/((g/((g*g**(-4))/g))/g*g/g...
{ "pile_set_name": "DM Mathematics" }
lve 14/3*q**4 + 2/3*q**2 - 26/3*q**3 - 2/3*q**5 + 28/3*q - 16/3 = 0 for q. -1, 1, 2, 4 Let y(o) be the first derivative of o**4/8 - 17*o**3/12 + 5*o**2 - 4*o + 87. Factor y(f). (f - 4)**2*(2*f - 1)/4 Let f(r) be the first derivative of -2/15*r**5 + 0*r**2 - 1/3*r**4 + 0*r + 0*r**3 - 4 + 1/3*r**6. Factor f(u). 2*u**3*(u...
{ "pile_set_name": "DM Mathematics" }
(16/(-4896)*6)/((-2)/6). 1/17 Evaluate ((-24)/510)/((20/(-25))/(-2)). -2/17 What is the value of (-1776)/1110*15/18? -4/3 Evaluate 60/(-3)*3*1/6. -10 Calculate 30*(-30)/75*(-30)/48*-2. -15 Evaluate (-1)/(((-6)/(-40))/((-20)/300)). 4/9 What is ((-2)/4)/((343/(-84))/(-7))? -6/7 What is the value of ((-40)/(-35))/((-8)/8...
{ "pile_set_name": "DM Mathematics" }
2. Calculate z(g). -8 Let r(k) = 3*k + 1. Let b(x) = -5*x - 1. Let y(h) = -2*b(h) - 5*r(h). Let z = 6 - 5. Suppose a = -z - 3, f + a = -6. Determine y(f). 7 Let r(c) = -2*c + 5. Let z = 22 - 17. Calculate r(z). -5 Suppose -5*l - 3*i - 27 = 0, 2*i = 3*l - 5 + 25. Let s = l + 15. Let u be 2/(15/s + -2). Let f(p) = 2*p +...
{ "pile_set_name": "DM Mathematics" }
+ -4) 1 What is the value of (-4 - 5) + -5 - -19? 5 (-8 - (1 + -7)) + 4 + 1 3 Calculate (-4 + 0 - 0) + 8 + -2. 2 Evaluate (12 - 10) + -2 + (-3 - -1). -2 What is the value of -2 - (2 + 0 - (7 + 1))? 4 Calculate (2 - -1 - 5) + 3 + 3. 4 Calculate 1 - ((0 - 2) + -2). 5 -3 + (2 + -9 - (-8 - -7)) -9 What is the value of -6 ...
{ "pile_set_name": "DM Mathematics" }
wrt o. 64 Let s(k) = 3*k - 2. Let c(m) = -1. Let v(t) = -3*c(t) + s(t). Let h be v(1). What is the second derivative of h*p - 32*p**3 + 37*p**3 - 16*p wrt p? 30*p Let x(v) be the first derivative of 0*v**2 + 0*v + 277/4*v**4 - 7/3*v**3 - 236. Find the third derivative of x(h) wrt h. 1662 Let v(k) be the first derivativ...
{ "pile_set_name": "DM Mathematics" }
7094196312? True Is 52894773 a multiple of 6? False Is 375 a factor of 635607? False Does 2 divide 5206211? False Does 46 divide 78493756? True Is 947578409 a multiple of 2706? False Is 31114186 a multiple of 42? False Does 240 divide 31104537? False Is 100 a factor of 659423? False Is 66282065 a multiple of 207? Fals...
{ "pile_set_name": "DM Mathematics" }
Suppose 2*v + 3 = 5. Let b be f(v). Let w(z) = -201*z**3 - z - 1. Is w(b) a prime number? False Let w = -8 - -10. Suppose 3 = -w*c - 3. Is c/(-9) + (-1192)/(-6) a prime number? True Let m(u) = -198*u**3 - 4*u**2 - 7*u - 14. Is m(-3) prime? False Let v(t) = -t**3 - 6*t**2 + 5*t - 10. Let y be v(-7). Suppose -5*b = -3*r ...
{ "pile_set_name": "DM Mathematics" }
06, 612, 480? -p**3 + 2*p**2 + 7*p + 808 What is the w'th term of 281, 560, 839, 1118, 1397? 279*w + 2 What is the k'th term of -593, -596, -599, -602, -605? -3*k - 590 What is the w'th term of 1357, 1355, 1351, 1345? -w**2 + w + 1357 What is the d'th term of 25, 98, 257, 544, 1001, 1670? 7*d**3 + d**2 + 21*d - 4 What ...
{ "pile_set_name": "DM Mathematics" }
5 Put -5, -19, 0, -2 in ascending order. -19, -5, -2, 0 Sort 1.4, -2, 2/11, 1, 0.25 in increasing order. -2, 2/11, 0.25, 1, 1.4 Sort 4, 72, -1/4 in decreasing order. 72, 4, -1/4 Sort 1, -1, 4/263. -1, 4/263, 1 Sort 5, 39, -1, 7 in increasing order. -1, 5, 7, 39 Sort 0, -0.5, 19 in descending order. 19, 0, -0.5 Sort 2,...
{ "pile_set_name": "DM Mathematics" }
+ 3*o**2/5 + 10. Factor a(v). 2*v*(v - 3)*(v - 1)*(v + 1)/5 Let n(y) be the second derivative of y**5/150 - y**4/18 + 7*y**3/45 - y**2/5 - 20*y. Determine q, given that n(q) = 0. 1, 3 Determine o, given that -9/2 + 2*o**3 - 1/2*o**4 + o**2 - 6*o = 0. -1, 3 Suppose 0 = -5*t - 0*t + 10. Let z = 5 - 3. Determine m so that...
{ "pile_set_name": "DM Mathematics" }
(x - 1)**2*(x + 1)**2/7 Let n(s) be the third derivative of 0 - 1/48*s**4 - 1/120*s**5 + 0*s + 0*s**3 - 2*s**2. Factor n(b). -b*(b + 1)/2 Let o = 6/41 + 146/123. Solve o*n**3 - 2/3 + 2/3*n**4 + 0*n**2 - 4/3*n = 0. -1, 1 Suppose -i = -3*x - 0*i - 31, 0 = 3*x + 2*i + 19. Let r = -6 - x. Suppose 6/7*o**2 + 0 - 6/7*o**5 + ...
{ "pile_set_name": "DM Mathematics" }
What comes next: 22707627, 22707626, 22707625, 22707624? 22707623 What is next in -19276716, -19276725, -19276734, -19276743, -19276752? -19276761 What is the next term in -7473721, -7473678, -7473607, -7473508, -7473381, -7473226, -7473043? -7472832 What is the next term in 289, 773, 1729, 3391, 5993, 9769, 14953? 217...
{ "pile_set_name": "DM Mathematics" }
us -104914143422? -104914143421.946 Put together -50713 and -1473638993. -1473689706 What is the distance between -20.741925 and 53.2167? 73.958625 Add together -20.43462 and -163752540. -163752560.43462 -2.284+8285865583 8285865580.716 -0.5 + 625512941547 625512941546.5 Work out -18 + -75700659118. -75700659136 Calcul...
{ "pile_set_name": "DM Mathematics" }
.2, 0.3, 7 Sort 1, -35, -30, -5 in ascending order. -35, -30, -5, 1 Put -363, -0.5, 2/11, 5, -3 in decreasing order. 5, 2/11, -0.5, -3, -363 Sort 0.145, 17/4, -0.1 in descending order. 17/4, 0.145, -0.1 Put 72.5, 3, 8.3 in descending order. 72.5, 8.3, 3 Sort -3, -0.008, -113. -113, -3, -0.008 Sort -8, -9, 3, -44 in dec...
{ "pile_set_name": "DM Mathematics" }
? 9 Let k(s) = 62*s + 51. Let z(m) = 115*m + 101. Let i(j) = -11*k(j) + 6*z(j). What is i(-6)? -3 Let k be 0/(-1 + 2 + 0). Let z(h) be the third derivative of h**6/120 + h**4/24 + 4*h**3/3 - 60*h**2. Determine z(k). 8 Let p(b) = -12. Let m(f) = -f + 13. Let o(r) = 5*m(r) + 6*p(r). Give o(-6). 23 Let v(o) = 2*o - 32. Le...
{ "pile_set_name": "DM Mathematics" }
pose -18*r + 4850 = 962. Is r a multiple of 18? True Suppose -6*b = -b - 70. Let i = b - 17. Does 4 divide ((-104)/12)/(2/i)? False Let z(w) = 18*w**2 + 20*w - 76. Does 17 divide z(5)? False Let p = 223 + 401. Is 104 a factor of p? True Let a(s) = -2*s**2 + 10*s + 2. Let z(t) = -t**2 - t - 1. Let x be 3/(3/(-1 + 2)). L...
{ "pile_set_name": "DM Mathematics" }
. -30, 11 Find y, given that -y**3/4 - 110*y**2 + 6799*y/4 - 5915/2 = 0. -455, 2, 13 Suppose -4*k**3 - 25140*k**2 - 25136*k = 0. What is k? -6284, -1, 0 Find r, given that -2*r**3 - 784*r**2 - 14314*r - 52220 = 0. -373, -14, -5 Factor a**2 + 3974*a - 7952. (a - 2)*(a + 3976) Suppose -3*z**2 + 51*z + 27144 = 0. What is ...
{ "pile_set_name": "DM Mathematics" }
- 1. Let j(n) = n**3 - n**2 - n - 1. Let o be j(2). Let h be ((-1)/2)/(o/8). Calculate g(h). -1 Let p(i) = i + 22. Suppose -4*u + 2*u = -5*u. Give p(u). 22 Let c(i) be the third derivative of i**6/120 - 3*i**5/20 - i**4/12 + 11*i**3/6 + 2*i**2. What is c(9)? -7 Let w(i) = -i**2 - 4*i - 1. Suppose 20 = f - 6*f. Give w(...
{ "pile_set_name": "DM Mathematics" }
30*n + 33*n - 44 - 65*n)*(2075 - 1149 - 1341) in the form t*n + f and give t. 830 Express -1025*j - 1017*j + 1114 + 3059*j - 1016*j as v*j + q and give v. 1 Express (12335*g**2 - 12335*g**2 - 16*g - 2*g**3)*(-g - 52 - 26 + 125) as k*g**3 + w*g + o + j*g**4 + x*g**2 and give x. 16 Rearrange (-1 + 3 - 6)*(14734*c - 7375*...
{ "pile_set_name": "DM Mathematics" }
35*h + 335*h) + h**5 - h**3 + 3*h**3 - 6*h**5. -66*h**5 + 2*h**3 Expand (-2*b + 0 + 0)*(-3 - 2 + 4 - 1 + 3 + 0 - 2 + 3 - 3 + 0 + 3 - 2 + (0 - 1 - 1)*(3 - 1 - 4) - 1 + 1 + 1 + 1 - 4 + 1 - 3 - 2 + 3 + 6 - 4 - 1 - 10 - 18 + 14). 24*b Expand (-22*b**2 + 6*b**2 + 9*b**2)*((-2 + 6 - 5)*(1 + 2 - 4) + (-2 + 2 + 2)*(13 - 5 + 6)...
{ "pile_set_name": "DM Mathematics" }
6 PM? 12:48 PM How many minutes are there between 4:33 AM and 4:43 AM? 10 What is 191 minutes after 1:08 AM? 4:19 AM How many minutes are there between 12:17 AM and 12:02 PM? 705 How many minutes are there between 5:09 PM and 1:55 AM? 526 How many minutes are there between 12:52 PM and 8:00 PM? 428 What is 321 minutes ...
{ "pile_set_name": "DM Mathematics" }
ct the terms in -104*y**3 - 106*y**3 + 211*y**3. y**3 Collect the terms in -35*w + 36*w - 17*w**2 - w. -17*w**2 Collect the terms in -1747 + 3*b + 1747. 3*b Collect the terms in 38*d**2 - d + 29*d**2 - 66*d**2 + d. d**2 Collect the terms in -4 + 14*v + 17 + 3. 14*v + 16 Collect the terms in -1 + 2158*d - d**3 - 2158*d ...
{ "pile_set_name": "DM Mathematics" }
What is the remainder when k(10) is divided by 23? 20 Let a(z) be the second derivative of 6*z - 1/3*z**3 - 1/20*z**5 - 2*z**2 + 0 - 1/2*z**4. Calculate the remainder when 30 is divided by a(-6). 6 Let m = -79 + 115. Let y(d) = -d**2 - 6*d - 2. Let x be y(-5). Suppose a = x*a + 2*z - 28, a - 9 = 4*z. What is the remai...
{ "pile_set_name": "DM Mathematics" }
. -4 What is the value of (-34 - -39 - (-2 + 7)) + -3? -3 Calculate (-420 - -418) + (-2 - 8). -12 Calculate (22 - -1 - 4 - 4) + -8 + -1. 6 What is -16 - -2 - -13 - 9? -10 6 + -4 + (6 - -4) + 17 29 Calculate 28 - 5 - (0 + 8). 15 Calculate 0 - -1 - (-9 - -3). 7 Evaluate 8 + (-6 - 5 - (-5 - (-27 - -7))). -18 What is (-2 -...
{ "pile_set_name": "DM Mathematics" }
(c) -11 a Which is the nearest to -1? (a) -2 (b) -1/4 (c) -3 (d) 2.5 b Which is the nearest to -1/4? (a) 0.2 (b) -12/11 (c) -66 a Which is the nearest to 5? (a) 4 (b) 32/3 (c) 1/2 a Which is the closest to -2? (a) -1 (b) 1 (c) 1/7 (d) 5 a What is the closest to -164 in 5, 0, -6? -6 What is the nearest to...
{ "pile_set_name": "DM Mathematics" }
8 What is the f'th term of -7340, -7326, -7274, -7166, -6984, -6710, -6326? 3*f**3 + f**2 - 10*f - 7334 What is the o'th term of -34259, -34275, -34291, -34307, -34323, -34339? -16*o - 34243 What is the m'th term of 16572, 16394, 16216, 16038? -178*m + 16750 What is the q'th term of 432567, 432564, 432561, 432558? -3*q...
{ "pile_set_name": "DM Mathematics" }
alculate z(s(a)). -2*a**2 Let m(q) be the second derivative of -q**4/12 + q. Let h(o) = -8*o + 14. Let a(r) = 2*r - 3. Let x(j) = 28*a(j) + 6*h(j). What is x(m(n))? -8*n**2 Let m(l) = -308*l**2. Let t(w) = -3*w**2. What is t(m(v))? -284592*v**4 Let a(d) = 15*d. Let o(g) = -27*g. Determine a(o(s)). -405*s Let w(o) = o. ...
{ "pile_set_name": "DM Mathematics" }
-19. Let l be (0 + (-6)/(-9))*-6. Is 9 a factor of m/l + (-2)/(-8)? True Suppose -x + 2*g + 4 - 3 = 0, 6 = -x - 5*g. Let s(a) = 26*a**2 + 10. Let h(p) = -9*p**2 - 3. Let f(b) = -7*h(b) - 2*s(b). Is f(x) a multiple of 11? False Suppose 25 + 335 = 4*f. Does 30 divide f? True Let u = -5 - -10. Suppose 0 = z - 1, z + 0 = ...
{ "pile_set_name": "DM Mathematics" }
t 7/15, 5069/3, 1 in increasing order. 7/15, 1, 5069/3 Sort -9, -3, 5, 4, -169 in descending order. 5, 4, -3, -9, -169 Put -2, -101803, 0.5 in decreasing order. 0.5, -2, -101803 Sort 3/17, -1/2, 791. -1/2, 3/17, 791 Sort -6, 9, -3, -1, -104. -104, -6, -3, -1, 9 Sort -399, 0, 1211. -399, 0, 1211 Put 246, 3, 8 in descend...
{ "pile_set_name": "DM Mathematics" }
14 (base 5) in base 7? 46 What is 1100100 (base 2) in base 4? 1210 What is 20 (base 6) in base 15? c Convert 0 (base 10) to base 9. 0 Convert -50 (base 6) to base 3. -1010 What is 24 (base 9) in base 7? 31 -4 (base 6) to base 7 -4 10010 (base 2) to base 4 102 What is 210 (base 4) in base 16? 24 Convert -155 (base 6) to...
{ "pile_set_name": "DM Mathematics" }
(-60 - -31)). 40 Evaluate (47 - 42) + -35 + -1. -31 What is 1 + -13 + 14 + -3 - (-5 - (-3 - -31))? 32 What is 1 - 3 - (211 - 232) - -30? 49 (-24 - -1 - (132 - 101)) + -13 -67 0 - (-15 + -10) - 0 - (-12 + 13) 24 What is 14 + 0 - (-112 + (9 - -19))? 98 Evaluate 24 + -40 - (4 + -10) - -81. 71 Evaluate (5 - (11 - -4) - -15...
{ "pile_set_name": "DM Mathematics" }
t v = -153 + 156. Suppose 0 = -2*d + d + 2*h - 2, -3*h = v*d - 3. Solve 2*k - 7 = k + b, d = -3*k + b + 17 for k. 5 Suppose 13*u - 6*u = 777. Let d be (-2)/(1*(-6)/u). Solve -3*m - 3*y + d - 10 = 0, 2*m + y - 14 = 0 for m. 5 Let s(k) = 2*k**2 + 15*k - 21. Suppose 3*z = 3*r - 2*z + 7, r - 5*z = 11. Let f be s(r). Solve ...
{ "pile_set_name": "DM Mathematics" }
. 461.6 Round 0.241818 to 4 dps. 0.2418 What is -0.342804 rounded to 1 dp? -0.3 Round 101174.3 to the nearest 1000. 101000 What is -88.93061 rounded to two decimal places? -88.93 Round -51045 to the nearest ten thousand. -50000 What is 653003 rounded to the nearest one thousand? 653000 What is -342.67 rounded to the ne...
{ "pile_set_name": "DM Mathematics" }
d -22/7. 28 Let d = 439 + -679. Suppose -2*w + 48 - 13 = 3*x, -5*w + 79 = -x. Calculate the least common multiple of ((-104)/(-20) + -4)*d/(-9) and w. 32 Find the common denominator of -47/15 and (-6)/(-33) + 3/(3960/7790). 60 Calculate the lowest common multiple of (57/(-133))/((-3)/14) and 58. 58 Let f(l) = 463*l + 2...
{ "pile_set_name": "DM Mathematics" }
*(-15)/18)/((-15)/12)? 6 Let b = -1173285/32 - -36668. Calculate the common denominator of b and -3/4. 32 Let u = 867/2 - 20855/48. What is the common denominator of u and 69/64? 192 Let b = 98 + -54. Suppose b + 20 = 8*y. Calculate the smallest common multiple of 2 and y. 8 Suppose -2*d - 26 = -f - 3*f, 2*d = 3*f - 22...
{ "pile_set_name": "DM Mathematics" }
(w) = 1147*w**3 - 4*w**2 - 5. Let m(v) = -2868*v**3 + 10*v**2 + 12. Determine 5*m(x) + 12*t(x). -576*x**3 + 2*x**2 Let i(v) = 27*v - 108. Let p(u) = -1. Let d(t) = t**3 - 54*t**2 + 105*t - 53. Let n be d(52). What is n*i(q) + 108*p(q)? -27*q Let n(m) = -3*m**2 - 1297*m - 1298*m + 1 - 4*m**2 + 2596*m + 6*m**2. Let j(d) ...
{ "pile_set_name": "DM Mathematics" }
1273*o + 1276*o - 4. Let x(s) = s - 1. Let p(k) = -r(k) + 5*x(k). Determine d(p(t)). 108*t**2 Let n(c) = -9*c. Let z(q) be the third derivative of -q**7/1260 - 7*q**4/24 - 2*q**2. Let m(t) be the second derivative of z(t). Calculate n(m(i)). 18*i**2 Let l(s) = -3*s**2 + 4*s + 29119. Let p(u) = -2*u**2. What is l(p(c))?...
{ "pile_set_name": "DM Mathematics" }
ecimal places? 0.0000117 What is -0.4408 rounded to 2 decimal places? -0.44 What is -0.074329 rounded to four dps? -0.0743 What is 4150.3 rounded to the nearest 1000? 4000 What is 0.0000017277 rounded to 7 dps? 0.0000017 Round -12454 to the nearest one hundred. -12500 Round -0.00565 to 4 dps. -0.0057 Round 179.61 to th...
{ "pile_set_name": "DM Mathematics" }
+ 6 for m. -5 Let j = -81 + 83. Solve j*c - 8 = 0, -5*u + 5*c = -0 - 5 for u. 5 Let x be (4/(-2) - -2)/1. Suppose x = -q - 2*y, -4*q + 4*y + 7 = -5. Suppose 4*p = -5*v + 23, -2*v + 2*p = -2*p + q. Solve c + 1 - v = m, -2*c - 11 = m for m. -5 Let t be (-3)/1*178/2. Let i be t/(-12) + (-2)/8. Suppose -c - 4*m = -m + 2, ...
{ "pile_set_name": "DM Mathematics" }
econd biggest value in -0.3, -4, x, 0.5? x Let n = 76 + -81. Let w = -10 + n. Which is the third biggest value? (a) 2 (b) -3 (c) w c Let j = 28 + 12. Let i = j + -39.73. Let z = 6.27 - i. What is the second biggest value in -1, z, -2? -1 Let o = -159 - -158. Let k = -4.91 + -0.09. Suppose 4*u + 4 = 4*d - 8*d, -3*d =...
{ "pile_set_name": "DM Mathematics" }
)))*-5)**2. 150000*sqrt(5) + 2822500 Simplify -5 + 0 + (sqrt(99)/sqrt(9))**2 + (sqrt(275) + 1 - (-1 + sqrt(11) + 3))**2. -8*sqrt(11) + 183 Simplify 4*((sqrt(57) - sqrt(171)/sqrt(3) - sqrt(57))*5)/((sqrt(90)/sqrt(5))/sqrt(6)). -20*sqrt(19) Simplify (sqrt(13) + -3*sqrt(1573))**2 + sqrt(13)*2*-2 - (4*2*sqrt(65))/(-3*(sqrt...
{ "pile_set_name": "DM Mathematics" }
7 = -5*y - 3*c, -15*c - 640 + 735 = -y for y. -5 Solve -5*r + 16 = 5190*f - 5187*f, -7*f + 8 = -3*r for f. 2 Solve 7*b = 39*t + 243, -24*b + 27*b - 167 = t for t. 4 Solve 3*l = -q + 16, -3*q = 703*l - 1334*l + 634*l - 36 for q. 10 Solve 2369*d + 10 = 2365*d + 5*l, 3*d + 35*l = 70 for d. 0 Solve s + 3 = 16*i + 13, -5*s...
{ "pile_set_name": "DM Mathematics" }
. Let y(g) be the third derivative of 0 - 2*g**2 + 0*g**3 - b*g**4 + 0*g. Let d(x) = 4*x**2. What is d(y(l))? 4*l**2 Let i(f) be the third derivative of -f**7/1260 + f**4/12 + 3*f**2. Let h(z) be the second derivative of i(z). Let y(k) = -k. What is y(h(m))? 2*m**2 Let a(m) = -2*m**2. Let r(f) = 14*f**2. Give a(r(l)). ...
{ "pile_set_name": "DM Mathematics" }
+ 9. Suppose -i*q + r = -245, -5*r - 11 = -36. What is the highest common divisor of q and 10? 10 Let q be 5/(40/(-12))*800/(-150). What is the greatest common factor of 376 and q? 8 Suppose 5*o + 2*z = 0, -5*z = -3*o + o + 29. Suppose -3*u + o*r - 115 + 37 = 0, 5*r = 5*u + 135. Let k = u - -32. What is the highest co...
{ "pile_set_name": "DM Mathematics" }
ided by k. 27 Let l(x) = -2*x + 7. What is the remainder when 62/(12*9/54) is divided by l(-5)? 14 Suppose -3*f - 12 = 3. Let j = f + 21. Calculate the remainder when 45 is divided by j. 13 Suppose 2*b - 18 = -s + 19, 0 = -2*s + 3*b + 39. What is the remainder when 294 is divided by s? 24 Suppose -y + 836 = 3*t - 344, ...
{ "pile_set_name": "DM Mathematics" }
Is 2719 a prime number? True Is 8637 composite? True Is 30973 a prime number? False Is 9237 prime? False Is 997 a composite number? False Is 74177 a composite number? False Is 43753 prime? True Is 1712643 a composite number? True Is 443 a prime number? True Is 138421 a composite number? True Is 341035 composite? True I...
{ "pile_set_name": "DM Mathematics" }