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-35) - 4)? 31 What is the value of -47 + (-2 - (-4 - -3 - (0 - -8)))? -40 Calculate 12 + (-10 + (13 - 3) - 6) - 8 - -1. -1 What is the value of 29 + -50 + 2 + 13 + -48? -54 Calculate -12 + (53 - 41 - -37). 37 What is the value of 7 - 61 - ((13 - 3) + -24 - 8)? -32 What is 99 - (19 - (58 - 183))? -45 What is 2 + 28 - (-...
{ "pile_set_name": "DM Mathematics" }
9 Calculate the remainder when 73 is divided by (-51)/(-2) + 4/(-8). 23 Let y = -57 - -94. What is the remainder when y is divided by 13? 11 Suppose i = -0*i + 3*a + 2, -4 = -2*i + a. Suppose 0 = -u + 1, i*g - 119 - 70 = -u. What is the remainder when g is divided by 24? 22 Suppose y - 19 = -0*y - 2*v, -112 = -4*y + 4*...
{ "pile_set_name": "DM Mathematics" }
nd 2337? 41 Calculate the highest common factor of 540 and 660. 60 Calculate the greatest common factor of 783 and 243. 27 Calculate the greatest common factor of 7240 and 40. 40 Calculate the highest common factor of 13 and 3. 1 Calculate the highest common divisor of 152 and 5548. 76 Calculate the highest common fact...
{ "pile_set_name": "DM Mathematics" }
2436 and 45293766? 1218 Calculate the highest common factor of 171 and 84235056. 57 Calculate the highest common factor of 107 and 7878. 1 Calculate the greatest common divisor of 195190749 and 54. 27 Calculate the highest common divisor of 10996 and 529996204. 10996 Calculate the greatest common factor of 157546180 an...
{ "pile_set_name": "DM Mathematics" }
a + b*y**3 and give a. -6 Rearrange -3330*o - 751*o - 311*o - 1725*o + 908*o to w*o + v and give w. -5209 Rearrange 23*z**2 + 2*z**3 + 4*z + 6 + 3*z - 2*z**3 - 8*z - 2*z**3 to s*z + v + k*z**2 + m*z**3 and give k. 23 Rearrange -849*w - 5 - 2236*w + 5 to the form z*w + r and give z. -3085 Express ((2 + 2 - 3)*(4 + 0 - ...
{ "pile_set_name": "DM Mathematics" }
03, -4/25, -2/9? -2/9 Which is the second smallest value? (a) 0.5 (b) -5/4 (c) 1 (d) 51.2 a Which is the second smallest value? (a) 0.2 (b) -1/6 (c) -4 (d) -51 c Which is the fifth biggest value? (a) 2 (b) 2/169 (c) 1/2 (d) 1 (e) -2/7 e What is the fourth smallest value in -6/5, -0.2, -0.1, 0.4? 0.4 Which ...
{ "pile_set_name": "DM Mathematics" }
at -2*u**2/7 + 446472*u/7 - 1785856/7 = 0. 4, 223232 Find d such that -d**3 - 417*d**2 - 4484*d - 7308 = 0. -406, -9, -2 Suppose 3*w**2/4 + 4305*w/4 - 1077 = 0. Calculate w. -1436, 1 What is q in -2*q**4/7 - 4*q**3/7 + 624*q**2/7 + 4672*q/7 + 1280 = 0? -14, -4, 20 Factor 4*m**3 + 305176*m**2 - 1525980*m. 4*m*(m - 5)*(m...
{ "pile_set_name": "DM Mathematics" }
9)? 14 Let r = 42 + -47. Suppose -3*m + 2*m + 20 = 0. What is the remainder when (-1 - 3/r) + 574/10 is divided by m? 17 What is the remainder when 14158 is divided by ((-2)/5)/(19227/520 + -37)? 14 Let l = 197 - 162. Let i = 45 - l. Calculate the remainder when 47 is divided by i. 7 Let v(c) = 5*c**2 + 84*c + 93. Calc...
{ "pile_set_name": "DM Mathematics" }
l - t = 12 for l. 4 Let b be (3 + -1)/(-2) - -1. Suppose 4*s = -3*t + 4, t + 0*t + 2 = -3*s. Let f be 2 + b - t/(-2). Solve -o = -f*o for o. 0 Let o(j) = j + 10. Let i be o(-7). Suppose 0 = i*r - 5*r - 3*y + 15, 3*r + y - 5 = 0. Solve 0*s - s + 1 = r for s. 1 Let g(h) = -h**2 - 20*h + 72. Let b be g(-23). Let t(r) = -r...
{ "pile_set_name": "DM Mathematics" }
t q = 13 + -6. Suppose 2*i = q*i + 255. Let b = -34 - i. List the prime factors of b. 17 Let a = 86 + -190. Let j = -13 - a. List the prime factors of j. 7, 13 Let v = -1247 + 2013. List the prime factors of v. 2, 383 Let q be (-3 - (-28)/8)*(0 + 6). Suppose q*d + 3*d - 756 = 0. List the prime factors of d. 2, 3, 7 Sup...
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 598410 is divided by 74800? 10 What is the remainder when 68777 is divided by 3526? 1783 Calculate the remainder when 54461 is divided by 7565. 1506 Calculate the remainder when 152502 is divided by 1929. 111 Calculate the remainder when 3957099 is divided by 48257. 25 What is the remainder w...
{ "pile_set_name": "DM Mathematics" }
What is the hundreds digit of i? 1 Let h(g) = -4*g + 22. Let b(u) = 3*u - 22. Let s(a) = -3*b(a) - 2*h(a). Suppose 3*w - 3*i = 6, 3*w + 5*i = w - 10. What is the tens digit of s(w)? 2 Let l = -41 - -20. Let d = l + 3. What is the tens digit of (38/(-4))/(9/d)? 1 Let s(w) = -27*w + 19. Let a(v) = 27*v - 17. Let j(k) = -...
{ "pile_set_name": "DM Mathematics" }
sqrt(480) + sqrt(30))/sqrt(6) - (-4 + sqrt(500) + 4))**2. 5 Simplify (-1*sqrt(363) + -1*sqrt(3) + sqrt(3) + 3 + sqrt(3) + (sqrt(27)*-4)/sqrt(9) + sqrt(3) + 4 + 1)**2. -208*sqrt(3) + 571 Simplify 1 + -1 + (sqrt(1872) - (0 + sqrt(1872)*-2)**2) + (2*sqrt(1872) + -3)**2 + -2. -132*sqrt(13) + 7 Simplify (2 + 3*1*sqrt(200)*-...
{ "pile_set_name": "DM Mathematics" }
8 divide j? True Suppose 4*c + 66 - 183 = -3*w, -2*w - 10 = 0. Does 23 divide c? False Suppose 0*f = 4*f - 24. Suppose 12 = 3*n + 2*g, 16 = -2*n + f*n + g. Is n a multiple of 2? True Let c be 3 + -1 + (-2 - -3). Suppose -4*u = -c*u - 2*s + 5, -2*s = -6. Does 7 divide 1/((-1)/(-23)) + u? False Let v = 128 - 63. Is 13 a ...
{ "pile_set_name": "DM Mathematics" }
visor of 2204 and 663711458. 1102 What is the highest common factor of 47287176 and 12736? 1592 What is the highest common factor of 2388 and 8058348? 12 What is the highest common divisor of 1534239 and 5439? 147 What is the highest common factor of 13 and 957778887? 13 Calculate the highest common divisor of 49350 an...
{ "pile_set_name": "DM Mathematics" }
477891614 Add -1981573.61107 and 2. -1981571.61107 What is the distance between 691138 and -94763.1? 785901.1 What is the distance between -59.36775 and -20849907? 20849847.63225 Add together -0.0562 and 54731.08. 54731.0238 What is 209677595039 plus 0.2? 209677595039.2 What is 281423.08988 - -177? 281600.08988 What i...
{ "pile_set_name": "DM Mathematics" }
-14800000 What is -222.64 rounded to the nearest integer? -223 What is -0.000000158 rounded to seven dps? -0.0000002 Round -394540 to the nearest one thousand. -395000 What is 0.00004482 rounded to five dps? 0.00004 Round -0.003368 to four dps. -0.0034 What is 84170000 rounded to the nearest one million? 84000000 What...
{ "pile_set_name": "DM Mathematics" }
c - 5 = 0. What is the second smallest value in m, 1/7, 1, 6? 1 Let v = 237 + -217. What is the biggest value in v, 4, 3? v Let z = -125.858 - -126. Let s = -1.142 + z. Which is the second smallest value? (a) -8 (b) s (c) 4 b Let y be -13 - (-6 - -6 - -7). What is the fourth biggest value in 3, y, -1, -2/3? y Let o...
{ "pile_set_name": "DM Mathematics" }
*2)*(-1 - 2 + 4) + 3*o**2 + o**2 - 2*o**2 - 2*o + 2*o**2 + 2*o) to y + f*o + i*o**2 and give i. -92 Rearrange 4 + 6 + 3 - 20 - 43*c to z + o*c and give z. -7 Express 3*j**2 - 2*j**2 - 2*j**2 + (-1 - j**2 + 1)*(2 - 1 - 2) + 36071 - 36071 + 198*j**2 in the form y*j + s*j**2 + i and give s. 198 Rearrange 138*d**2 + 37*d**...
{ "pile_set_name": "DM Mathematics" }
- 5*f - 93 What is the g'th term of 512, 529, 546, 563, 580, 597? 17*g + 495 What is the r'th term of -25102, -25104, -25106, -25108, -25110? -2*r - 25100 What is the o'th term of 21034, 21142, 21250, 21358? 108*o + 20926 What is the k'th term of -1660, -1637, -1610, -1579, -1544, -1505? 2*k**2 + 17*k - 1679 What is th...
{ "pile_set_name": "DM Mathematics" }
in base 6? -45130 47753 (base 8) to base 2 100111111101011 808 (base 9) to base 3 220022 1011010110101110 (base 2) to base 10 46510 Convert -23 (base 8) to base 4. -103 Convert 65b (base 14) to base 10. 1257 Convert 11111000 (base 2) to base 13. 161 3152 (base 10) to base 3 11022202 What is -125566 (base 8) in base 12?...
{ "pile_set_name": "DM Mathematics" }
2 - 2 + 3). -2*x**4 Expand (11 - 11 + 12*z - 1 - z + 1 + (1 - 1 + 2*z)*(2 - 4 + 4) + 0*z - 5*z + 3*z - 3 + 3 - z)*(-4*z**3 - 3*z**3 + 5*z**3). -24*z**4 Expand (7*f**2 - 3*f**2 - 2*f**2)*((5 - 5 + 2*f)*(46 - 46 - 18*f) - 3*f**2 + 6*f**2 - 4*f**2). -74*f**4 Expand -2*x + 3 - 3 + (-3 - 1 + 2)*(4*x + x - 3*x) - 408*x - 832...
{ "pile_set_name": "DM Mathematics" }
vided by 13925. 17 What is the remainder when 281125 is divided by 5734? 159 What is the remainder when 556867 is divided by 1270? 607 What is the remainder when 1467731 is divided by 1144? 1123 What is the remainder when 55953 is divided by 7935? 408 Calculate the remainder when 1940 is divided by 726. 488 What is the...
{ "pile_set_name": "DM Mathematics" }
? -d**3 + 50*d**2 + 633*d + 39 What is the m'th term of -22606, -22238, -21866, -21490? 2*m**2 + 362*m - 22970 What is the g'th term of 1828726, 1828747, 1828796, 1828885, 1829026, 1829231, 1829512, 1829881? 2*g**3 + 2*g**2 + g + 1828721 What is the r'th term of -5526, -5437, -5340, -5235, -5122? 4*r**2 + 77*r - 5607 W...
{ "pile_set_name": "DM Mathematics" }
ommon factor of 10 and b? 10 Let o = -388 + 696. What is the highest common divisor of o and 28? 28 Let n(f) = f**3 - 6*f**2 + 6. Let h(q) = -q**2 - 9*q + 1. Let x be h(-5). Let w = -15 + x. Let j be n(w). What is the highest common divisor of 66 and j? 6 Let o = 53 - 39. What is the highest common divisor of 21 and o?...
{ "pile_set_name": "DM Mathematics" }
hen 50296 is divided by 474. 52 What is the remainder when 11679 is divided by 251? 133 What is the remainder when 3809 is divided by 26? 13 Calculate the remainder when 66033 is divided by 47. 45 What is the remainder when 37209 is divided by 98? 67 What is the remainder when 56981 is divided by 17? 14 What is the rem...
{ "pile_set_name": "DM Mathematics" }
of 2224053975. 3, 5, 11, 13, 207371 List the prime factors of 11619318. 2, 3, 41, 149, 317 What are the prime factors of 233053869? 3, 193, 402511 List the prime factors of 68403525. 3, 5, 912047 List the prime factors of 652250531. 43, 163, 93059 What are the prime factors of 659306395? 5, 11, 2099, 5711 List the prim...
{ "pile_set_name": "DM Mathematics" }
ert 230 (base 5) to base 12. 55 24 (base 5) to base 14 10 -d (base 15) to base 5 -23 Convert 5 (base 15) to base 14. 5 -2 (base 3) to base 6 -2 Convert -40 (base 9) to base 2. -100100 What is -12 (base 11) in base 5? -23 Convert -310 (base 4) to base 14. -3a What is -d0 (base 16) in base 14? -10c Convert 6 (base 14) to...
{ "pile_set_name": "DM Mathematics" }
mber? False Is (1/6)/(159/449705106) a composite number? False Suppose -35*i + 4284692 = -1036908 - 2677265. Is i a composite number? False Suppose -61*r = 104*r - 1210131 - 6202824. Is r a composite number? False Let d(f) = 2*f**2 + 10*f - 35. Let y(h) = -h**3 + 7*h**2 - 4. Suppose -x = 4*m - 23, x = 6*x + 5. Let q be...
{ "pile_set_name": "DM Mathematics" }
+ 620 + 1380. Let y = 422 + k. What is the remainder when 108 is divided by y? 20 Suppose 0 = j + 5*j + 270. Let f be j/30*14/(-3). Suppose 0 = -f*g + 49 - 7. What is the remainder when 9 is divided by g? 3 Let o(y) = y**3 + 129*y**2 - 671*y - 55. Suppose 11 + 21 = 5*h - p, -8 = 4*p. Calculate the remainder when o(-13...
{ "pile_set_name": "DM Mathematics" }
et p = -5 + 8. Let i = -131 - -135. Which is the nearest to -0.1? (a) i (b) -3 (c) p b Let s = 6 + -1.5. Let t = s - -0.5. Let p(r) = r**3 - 2*r**2 - 3*r - 1. Let f be p(3). Which is the closest to f? (a) 0.3 (b) t (c) 0.2 c Let m = -114 + 113. Let y = -0.4 + 0.3. Which is the closest to m? (a) 0.3 (b) 2 (c) y...
{ "pile_set_name": "DM Mathematics" }
r**(-6)))/r**(-4/3))**(-19) assuming r is positive. r**(2599/38) Simplify (n/n**38*n**(-1/20)/n*n)/(n**(-6/23))**(1/59) assuming n is positive. n**(-1005417/27140) Simplify ((u**6*u**(12/7))/(u**(1/18)/u**(-16)))**(-1/4) assuming u is positive. u**(1051/504) Simplify ((k**40*k)/((k/k**(8/3))/k))/(k**(-6/11)/k**8) assum...
{ "pile_set_name": "DM Mathematics" }
w(x). 5*x - 2 Let y(b) = -1 - 36*b + 24*b - 12*b + 30*b. Let p(z) = 5*z - 1. Calculate -5*p(c) + 6*y(c). 11*c - 1 Let z(v) = 17*v**3 - 2*v**2 - 2. Let h = 12986 + -12984. Let c(n) = -35*n**3 + 5*n**2 + 5. Give h*c(s) + 5*z(s). 15*s**3 Let m(w) be the third derivative of -w**4/6 - w**3/3 - 188*w**2. Let b(i) = -i + 1. L...
{ "pile_set_name": "DM Mathematics" }
implify ((((t/(t/(t**1*t)*t))**(-2/9))**(-48))**(2/11))**(3/4) assuming t is positive. t**(16/11) Simplify ((c**10*c**15)/((c**(-20)/c)/c*(c*c/c**17)/c))**(-18) assuming c is positive. c**(-1134) Simplify ((v**6/v)/(v*v**1*v))**(-17)*((v*v**(-1/4))/(v**(4/5)*v))/(v**5/v**(3/5)) assuming v is positive. v**(-789/20) Simp...
{ "pile_set_name": "DM Mathematics" }
+ 33*o)*(3 + 2 - 3). -32*o Expand (2*g - g - 3*g)*(4*g - 1 + 1) + 0*g**2 + 5*g**2 - 9*g**2 - 1 + 1 + 2*g**2. -10*g**2 Expand (-4 - 3 + 3)*(-1 + 1 + x)*(11*x - 9*x - 8 - 3*x). 4*x**2 + 32*x Expand 740*d + 143*d + 356*d + (4 + 1 - 4)*(d - 2*d - d). 1237*d Expand (1850 + 3*i**2 - 59*i - 1850)*(2 - 2 + 2*i) + i**3 + 0*i**3...
{ "pile_set_name": "DM Mathematics" }
n -56, 1, 3, -1/4, -628? -1/4 Which is the seventh smallest value? (a) 0.4 (b) -8 (c) 4 (d) 0.1 (e) -5 (f) 1392 (g) -0.49 f Which is the second biggest value? (a) -0.0778 (b) 0 (c) 1/7 (d) 9 (e) -0.6 c Which is the seventh biggest value? (a) 5 (b) 21 (c) 2 (d) -0.5 (e) 7720 (f) -1 (g) -3 g What is th...
{ "pile_set_name": "DM Mathematics" }
st derivative of 314276*s*u + 236638*u wrt s? 314276*u Find the second derivative of -34618*b**5 - 12*b + 1525. -692360*b**3 What is the second derivative of -3*k**5 + 37*k**4 + 1426*k**3 - 705451*k? -60*k**3 + 444*k**2 + 8556*k What is the first derivative of -2828820*y + 3180496 wrt y? -2828820 Find the second deriva...
{ "pile_set_name": "DM Mathematics" }
Let x(z) = 6*z + 128. What is x(10)? 188 Let m(h) = -h + 39. What is m(86)? -47 Let v(m) = 32*m + 76. Give v(-5). -84 Let t(y) = 128*y + 127. What is t(0)? 127 Let j(y) = -2*y**2 + 12*y + 143. Give j(12). -1 Let h(c) = -22*c**2 - 4*c + 1. Calculate h(3). -209 Let n(g) = 715*g + 13575. Determine n(-19). -10 Let k(p) = 3...
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from qqqqkqqqqqqkqkqqqqqq. 17/1140 Calculate prob of sequence eee when three letters picked without replacement from {o: 15, e: 5}. 1/114 Four letters picked without replacement from {k: 2, s: 2, u: 3, p: 4, i: 3, o: 2}. Give prob of sequence osuu. 1/1820 Two letters picked without rep...
{ "pile_set_name": "DM Mathematics" }
d. Let x(c) = c**2. Calculate x(b(j)). 144*j**2 - 216*j + 81 Let i(y) be the first derivative of 23/3*y**3 - 117 + 0*y**2 + y. Let m(t) = 3*t**2. Determine m(i(h)). 1587*h**4 + 138*h**2 + 3 Let k(p) = -2*p**2. Let r be -8 + 5 + -5 + 5 + 5. Let y(h) = -7 - 17 + 23 - 33*h**r. Determine k(y(b)). -2178*b**4 - 132*b**2 - 2 ...
{ "pile_set_name": "DM Mathematics" }
Let y(q) = -81*q + 4349. Let g be y(51). Which is the biggest value? (a) g (b) -0.1 (c) -2/15 (d) -0.3 a Suppose 402 = 2*q + 5*u, q - 1678*u - 204 = -1679*u. Which is the fourth smallest value? (a) -1/2 (b) 2/5 (c) -0.1 (d) -2/3 (e) q b Let a = 979.2 + -979.1. What is the third biggest value in 14, a, 14/9, 0....
{ "pile_set_name": "DM Mathematics" }
= 14*q, -2*q = -3*c + 1 for q. -2 Solve -4*v = 4*q + 52, -4*v - 93 = 5*v + q for v. -10 Solve 4*o = -2*h + 8, 0 = 2*h + 2098*o - 2101*o + 20 for h. -4 Solve -5*w - 22 = 4*h, -3*h - 11 = -803*w + 804*w for h. -3 Solve -5*l + 4*t + 37 = 0, -2*l - 18*t + 40 = -28*t for l. 5 Solve -5*h - 622*s - 58 = -626*s, -26 = 3*h + 2*...
{ "pile_set_name": "DM Mathematics" }
ulate w(k(v)). 16*v**2 Let g(y) = 7*y. Let i(r) = -3*r. Let v(u) = 6*g(u) + 15*i(u). Let c(o) be the second derivative of -5*o + 0 - 1/12*o**4 + 0*o**3 + 0*o**2. What is c(v(q))? -9*q**2 Let c(o) = -2*o. Let h(r) = -6*r**2 - 15*r. Give h(c(m)). -24*m**2 + 30*m Let g(k) = 2*k**2. Let u(r) = 272*r**2. What is g(u(m))? 14...
{ "pile_set_name": "DM Mathematics" }
7:35 PM? 3:31 PM How many minutes are there between 4:59 AM and 7:32 AM? 153 How many minutes are there between 1:27 AM and 1:10 PM? 703 What is 296 minutes after 2:33 AM? 7:29 AM How many minutes are there between 9:04 AM and 7:03 PM? 599 What is 67 minutes before 2:45 PM? 1:38 PM What is 705 minutes after 5:57 AM? 5:...
{ "pile_set_name": "DM Mathematics" }
when 7 is divided by 26/8*r + 93/(-62). 2 Suppose -5*b = -5*z + 290, 11*b + 10 = 16*b. Suppose 2*j = z + 96. What is the remainder when j is divided by 10? 8 What is the remainder when 3*(-2 + 6*(-205)/(-45)) is divided by 14? 6 Suppose 3*o + 9 = b + 5, 0 = -5*o + b - 10. Let n(q) = -9*q - 6. Calculate the remainder wh...
{ "pile_set_name": "DM Mathematics" }
/411654 -32743314 divided by 6 -5457219 -930735 divided by 185 -5031 Divide -1788851 by 787. -2273 71412096 divided by -5208 -13712 What is 1874960 divided by 8? 234370 26272070 divided by -238837 -110 Divide 605461125 by 254931. 2375 -43201173 divided by -1 43201173 Divide 5614308 by 89116. 63 Divide -28297500 by 3850...
{ "pile_set_name": "DM Mathematics" }
-19 and 16? -304 Multiply 0.3 and -213. -63.9 Calculate 148*0. 0 Work out -27 * 39. -1053 What is -1981 times -12? 23772 12499 * -3 -37497 What is -0.053 times 32? -1.696 What is -0.2 times -2.285? 0.457 37 times 132 4884 What is 214 times 0.3? 64.2 Multiply 0 and -0.11. 0 What is 1.66 times -1.4? -2.324 What is -3315...
{ "pile_set_name": "DM Mathematics" }
-5, -3 in descending order. 2, -3, -5, -8, -1042 Sort -23, 498, -3, 0 in descending order. 498, 0, -3, -23 Put -10/787, 2, 0, -1/4, 1/9 in descending order. 2, 1/9, 0, -10/787, -1/4 Put 5, 3/7, 1/9, 8/9 in decreasing order. 5, 8/9, 3/7, 1/9 Put -5, -3477, -1, 2/15, 10, -0.5 in descending order. 10, 2/15, -0.5, -1, -5,...
{ "pile_set_name": "DM Mathematics" }
6426 and 2133. 27 Calculate the highest common factor of 3 and 6214. 1 What is the greatest common divisor of 48639 and 1023? 93 Calculate the greatest common factor of 2266 and 26368. 206 Calculate the highest common factor of 2096 and 18949936. 2096 What is the highest common factor of 17259 and 671? 11 What is the ...
{ "pile_set_name": "DM Mathematics" }
+ 0). 20 What is 8 + -40 + 12 - -13? -7 Evaluate -3 - (-7 - -19) - (41 + -32). -24 What is -4 + 8 - (-19 - -19)? 4 Evaluate -2 + 0 + 4 + (-3 + 8 - 11). -4 What is 9 - 1 - (62 + -61)? 7 Evaluate (0 + 12 - ((-3 - -9) + -7)) + -7. 6 What is (428 - 414) + 2 + -30? -14 What is the value of 48 - ((-32 - -49) + (6 - 3))? 28 ...
{ "pile_set_name": "DM Mathematics" }
? -0.1 Let d = 0.005 + -0.038. Let o = d - 5.767. Let l = 6 + o. What is the closest to 2 in 0, 3/7, l? 3/7 Let q = 0.4 + -0.8. Let j = q - -0.3. Let k = j + 0. What is the nearest to k in 2, 0.4, -0.5? -0.5 Let u = -0.4 - -0.3. Let b(c) = -c**3 + 2*c**2 + 8*c + 4. Let w be b(4). What is the nearest to -0.2 in 0.4, u, ...
{ "pile_set_name": "DM Mathematics" }
be (-1)/(3/f)*2. Solve -4*k + 0 = q for k. -2 Let d = 698 - 692. Solve 5*i - 4*i = d*i for i. 0 Suppose 0 = 235*m - 288*m + 159. Solve 15 = 2*w + m*w for w. 3 Let p(k) = -3*k + 50. Let h be p(13). Let o be (-7)/(-42) - h/(-6). Solve -4*t - 22 = -o for t. -5 Let m(p) = p - 11. Suppose 3*a - 2*i + 19 = 0, 2*a + a + 2*i =...
{ "pile_set_name": "DM Mathematics" }
= -7*s**2 + 4*s - 5. What is k*d(p) + j(p)? -2*p**2 - p Let a(k) = 5*k**2 - 6*k + 5. Let y(x) = 2*x + 10*x**2 - 15*x**2 + 3*x**2 + 2*x - 2 - x. What is -3*a(p) - 7*y(p)? -p**2 - 3*p - 1 Let p(i) be the first derivative of -2*i**3/3 + 2*i**2 - 6*i - 393. Let b(n) = -n**2 + 5*n - 5. Determine -4*b(c) + 3*p(c). -2*c**2 -...
{ "pile_set_name": "DM Mathematics" }
o. 11 Let o be 168*(6/4 - 1)*2. Let j be (-2 + -14)/(-1 - 0). Suppose -5 = s, -4*s + j = 5*b - 84. Calculate the highest common divisor of b and o. 24 Let q be 176/10 - (-2)/5. Let u(y) = y**3 - 68*y**2 + 184*y + 760. Let r be u(65). What is the greatest common factor of r and q? 9 Let w(y) = 2*y**2 + 155*y - 2877. Le...
{ "pile_set_name": "DM Mathematics" }
27*l + 8*l = 2*q - 846 - 248 for q. -4 Solve 8239*n - 2748 = 8187*n - 2*o, 4*o = -3*n + 143 for n. 53 Solve -4*w - 47 = 3*f, -1244*f = -1240*f + 4 for w. -11 Solve -40*v - 43*v = 5*y + 45*v - 123*v - 140, -v - 21 + 81 = 9*y for y. 4 Solve 12*k - 144 = 0, 0 = 2330*n - 2327*n + 6*k - 75 for n. 1 Solve -3*a = -4*c + 15, -...
{ "pile_set_name": "DM Mathematics" }
, 336170, 525263? 756376 What comes next: 90056, 180384, 270722, 361076, 451452, 541856, 632294, 722772? 813296 What comes next: 1736, 1698, 1598, 1406, 1092, 626? -22 What comes next: 1224, 1132, 978, 762, 484, 144? -258 What is next in 492, 2236, 5224, 9450, 14908, 21592, 29496, 38614? 48940 What comes next: -2174, -...
{ "pile_set_name": "DM Mathematics" }
anoseconds? 3500 Convert 0.1642906 decades to millennia. 0.001642906 What is 174.3737 litres in millilitres? 174373.7 How many microseconds are there in 1.0986ms? 1098.6 Convert 386552.2 decades to years. 3865522 How many kilograms are there in twenty-five quarters of a tonne? 6250 What is 1/4 of a millennium in years?...
{ "pile_set_name": "DM Mathematics" }
8 - 1039329441. Let i = 49 + -16. Let h = i - n. What is h rounded to seven decimal places? -0.0000012 Let k be -6*118469/(-2) + (-5 - -3). Suppose -22595 = -3*q + k. What is q rounded to the nearest 10000? 130000 Let i = 4123 - 1214. Round i to the nearest 100. 2900 Let n(d) = -d**3 + d**2 - 30581. Let f be n(0). Let ...
{ "pile_set_name": "DM Mathematics" }
0*a - 1/9*a**3 + i - 1/6*a**2 + 1/12*a**4 + 1/15*a**5. Factor v(j). j*(j - 1)*(j + 1)**2/3 Suppose -3 - 5 = -2*y. Suppose 0 = -5*b + y*b. Suppose b*r**5 + r**3 + 0*r**3 + 6*r**4 + 9*r**5 = 0. What is r? -1/3, 0 Let i = -1 - -5. Suppose -i*f = f - 20. Factor 0 + 0*z + 7/4*z**f - 9/4*z**3 + 1/2*z**2. z**2*(z - 1)*(7*z - ...
{ "pile_set_name": "DM Mathematics" }
7871 What are the prime factors of 4057003? 431, 9413 What are the prime factors of 277673? 11, 25243 What are the prime factors of 2546070? 2, 3, 5, 84869 What are the prime factors of 4874233? 7, 13, 29, 1847 List the prime factors of 9465367. 277, 34171 What are the prime factors of 989853? 3, 329951 What are the pr...
{ "pile_set_name": "DM Mathematics" }
ascending order. -30, -2, 0, 2, 8, 991 Sort 1, -3, 4, -860, 3, -63 in ascending order. -860, -63, -3, 1, 3, 4 Put 0, -3, 49, 5, 67, -1, -24 in decreasing order. 67, 49, 5, 0, -1, -3, -24 Sort -1.9, 5, -10, -1, 0, 1027, 1 in ascending order. -10, -1.9, -1, 0, 1, 5, 1027 Put -17060027, 9/4, 0.4 in descending order. 9/4, ...
{ "pile_set_name": "DM Mathematics" }
((-16)/(832/(-13))))/(3219/37)? 3/29 What is ((8/3)/(-4))/((-20)/30)*252/9324? 1/37 Evaluate ((5/25)/(-1))/((182/(-980))/(-13)). -14 What is ((-1)/15)/((-501)/(-2505))*(45/6)/(-5)? 1/2 ((161/(-2058))/(-23))/((-4796)/(-25179)) 1/56 What is the value of 60/25*(10/6)/(17/(-68))? -16 What is the value of ((-63)/(-4431))/((...
{ "pile_set_name": "DM Mathematics" }
= 0, l + q + 24 = 5*l. Solve 11 + 4 = l*c for c. 3 Suppose 0 = y - 5, 35 = 4*f + 4*y - y. Let k(b) = 2*b**2 + 13*b - 45. Let c be k(-9). Solve c = 2*z - f*z for z. 0 Suppose 36 = -0*b + 3*b. Let h = -131 + 133. Solve h*a - b = -a for a. 4 Suppose -11*a + 10*a + 2 = 0. Solve -a*b - 5 = 1 for b. -3 Suppose d = 5*h + 4, ...
{ "pile_set_name": "DM Mathematics" }
66. Factor -t*b + 1/2*b**4 - 8*b**3 + 128 + 48*b**2. (b - 4)**4/2 Let w be 1/4 + (-10)/(-24). Let t be ((-96)/4 + 23)/(((-1 - 2) + 1)/4). Factor w + 4*p**t - 14/3*p. 2*(p - 1)*(6*p - 1)/3 Suppose -15 = -3*b, 2*i + 2*b = 5*b + 1089. Factor 4*q**3 - 648*q + i*q + 36*q**2 - 8*q**3 + 64. -4*(q - 4)**2*(q - 1) Let q be 25 +...
{ "pile_set_name": "DM Mathematics" }
+ 1237857600 = 0 for m. 140, 63156 Suppose -w**3 + 39553*w**2 - 32481046*w = 0. Calculate w. 0, 839, 38714 Factor -11*t**2/7 + 4573*t - 2910/7. -(t - 2910)*(11*t - 1)/7 What is w in -w**2/2 + 18169741*w - 330139488007081/2 = 0? 18169741 Factor -175*i**3/4 + 43464749*i**2/2 + 248370*i. -i*(i - 496740)*(175*i + 2)/4 Det...
{ "pile_set_name": "DM Mathematics" }
ens digit of h? 1 Suppose -4*n = -9*n + 1480. Suppose 18*g = 26*g - n. What is the tens digit of g? 3 Let s = 11 - 11. Suppose -5*m + 2*m = s. Suppose 4*b - 28 - 40 = m. What is the tens digit of b? 1 Suppose -2*u - 2*u = -3*v + 1750, 3*u = 4*v - 2331. What is the hundreds digit of v? 5 Let c(d) = 47*d**2 + 17*d + 53. ...
{ "pile_set_name": "DM Mathematics" }
ive of -l**4/6 - l - 581. Let a(n) = 164*n**2 + 8*n. Give a(d(w)). 656*w**4 - 16*w**2 Let j(h) = 5*h**2. Suppose 0 = 4*w - 62 + 10. Let g(p) be the first derivative of -w - 3*p**2 + 25*p - 25*p + 2*p**2. Calculate g(j(l)). -10*l**2 Let l(s) = s**2 - 62*s + 603. Let m be l(50). Let q(h) be the second derivative of 0*h**...
{ "pile_set_name": "DM Mathematics" }
/4 Which is the closest to 2/103? (a) -0.2 (b) 2/9 (c) 8 b What is the nearest to 1 in 0, -3, -17, 4? 0 Which is the nearest to 0.1? (a) -0.4 (b) -5 (c) 970 a Which is the nearest to 0? (a) -0.01 (b) -0.04 (c) 2 a What is the closest to 3/5 in 0.1, 1/2, -4? 1/2 Which is the closest to -0.1? (a) -1 (b) -3 (c...
{ "pile_set_name": "DM Mathematics" }
alse Is 9301624813 a prime number? False Is 133161009 a composite number? True Is 144846624323 composite? True Is 1041289999 a prime number? True Is 941028563 a prime number? True Is 18680814983 a composite number? False Is 560173381 prime? False Is 642921113 a prime number? False Is 1167400109 a prime number? False Is...
{ "pile_set_name": "DM Mathematics" }
-2*d**2 + 2*d. What is s*h(m) + 6*p(m)? -6*m**3 Let s(r) = 2*r**2 + 16. Let o(v) = -3*v**3 - 10*v**2 + 515. Determine 2*o(g) + 10*s(g). -6*g**3 + 1190 Let j(r) = -201*r**2 + 46*r**2 + 2 + 51*r**2 + 48*r**2 + 49*r**2. Suppose -2*m + 0 = 2*a + 2, m = a - 5. Let c(k) = -21*k**2 + 7. What is a*c(g) - 7*j(g)? 7*g**2 Let m(...
{ "pile_set_name": "DM Mathematics" }
st the prime factors of 5676602. 2, 43, 149, 443 List the prime factors of 482716. 2, 13, 9283 List the prime factors of 2314430. 2, 5, 231443 List the prime factors of 2314727. 2314727 What are the prime factors of 17300879? 17300879 What are the prime factors of 6355143? 3, 191, 3697 List the prime factors of 224157....
{ "pile_set_name": "DM Mathematics" }
fferent values? True Is -151201 greater than or equal to 2/11? False Which is smaller: 156 or 433? 156 Which is smaller: -35764 or -35762? -35764 Is 1 at least as big as -2/140571? True Which is bigger: 436817 or 436816? 436817 Which is smaller: 49 or 3464/71? 3464/71 Is 1304 not equal to 1301? True Is -4528 > -4528? F...
{ "pile_set_name": "DM Mathematics" }
late p(z(u)). -176*u**2 Let g(u) = u**2. Let t be (-5)/2*2 + 9. Let l(z) = 3051*z**2 - 3059*z**2 - t + 0 + 5 - 4. Calculate g(l(v)). 64*v**4 + 48*v**2 + 9 Let v(u) = 28*u**2 - 2*u. Let w(a) = -205915*a. Calculate w(v(g)). -5765620*g**2 + 411830*g Let a(q) = -7*q - 3. Let g(u) = -10*u - 5. Let p(h) = 5*a(h) - 3*g(h). Le...
{ "pile_set_name": "DM Mathematics" }
der. y, 2/3, l Let f = 794/5 + -159. Let h = -5.2 - -0.2. Put -4, h, f in decreasing order. f, -4, h Suppose 6*b + 5 = b. Put 0, b, -5, -4 in increasing order. -5, -4, b, 0 Let z(m) = -m**3 + 13*m**2 - 2*m + 16. Let l be z(13). Put 3, l, 0.3 in ascending order. l, 0.3, 3 Let d be 21/4 + 2/(-8). Let a = -16 - -18.6. Let...
{ "pile_set_name": "DM Mathematics" }
c) 1/8 (d) 4 c What is the nearest to 1/16 in 17, 0, 2/5, 1? 0 What is the nearest to 1/2 in 0.4, -3, 67, 2? 0.4 Which is the nearest to -0.01? (a) 0.03 (b) -0.3 (c) -0.2 (d) -3 a Which is the closest to 1/13? (a) 0.2 (b) -0.15 (c) -4 a What is the closest to -1 in 40, -4, -3, 8? -3 What is the nearest to 0.1 i...
{ "pile_set_name": "DM Mathematics" }
35, -1002? -1169 What is next in 59, 122, 185, 248, 311, 374? 437 What is next in 12, 13, 10, 3? -8 What is next in 37, 46, 57, 70, 85, 102? 121 What comes next: -163, -191, -209, -211, -191, -143? -61 What is the next term in -21, -18, -3, 30, 87, 174? 297 What is the next term in -15, -23, -35, -51? -71 What is next ...
{ "pile_set_name": "DM Mathematics" }
o 1/7? (a) -179 (b) 2/11 (c) -14 (d) 4 b What is the nearest to 1/4 in 1/2, -0.110502, -8/11? 1/2 What is the nearest to 0.1 in 68, -87, -19, -1, -7, 2/7? 2/7 Which is the closest to 2? (a) 6323 (b) -12 (c) 6 c What is the nearest to -1 in 0.2, 36/11, 1, -2/2169, 11? -2/2169 Which is the nearest to 0.1? (a) -2/...
{ "pile_set_name": "DM Mathematics" }
j: 1}. 1/30 Two letters picked without replacement from {q: 1, u: 1, e: 2, n: 1}. What is prob of sequence eu? 1/10 Four letters picked without replacement from {z: 2, a: 4, j: 3, k: 3, e: 7}. Give prob of sequence ekkk. 7/15504 Three letters picked without replacement from jjzzzzzzzjzzzz. Give prob of sequence jjz. 11...
{ "pile_set_name": "DM Mathematics" }
inder when 58095418 is divided by 4297. 4275 Calculate the remainder when 8916843 is divided by 235. 3 Calculate the remainder when 39942147 is divided by 69344. 3 What is the remainder when 1304202 is divided by 2598? 6 What is the remainder when 107437231 is divided by 358? 357 What is the remainder when 11517762 is ...
{ "pile_set_name": "DM Mathematics" }
he product of 2 and 0.080915? 0.16183 What is the product of 8036 and 0.3? 2410.8 What is 7961.9 times -9? -71657.1 What is 0.3 times -80636? -24190.8 8.6218 times 0 0 19.748 * 45 888.66 What is 4.411 times -11.4? -50.2854 60595 times 0 0 What is -0.1 times -225.309? 22.5309 What is -934.09 times 0.4? -373.636 Calculat...
{ "pile_set_name": "DM Mathematics" }
f a gram in milligrams? 5250 What is 8/25 of a millennium in months? 3840 What is 0.9371241 days in microseconds? 80967522240 How many micrograms are there in 27/2 of a milligram? 13500 How many millimeters are there in 0.5788365um? 0.0005788365 How many nanograms are there in 3/25 of a microgram? 120 How many litres a...
{ "pile_set_name": "DM Mathematics" }
te prob of picking 1 h, 1 m, and 1 y when three letters picked without replacement from ohmyjyyyoommyohhhyy. 28/323 Two letters picked without replacement from {b: 1, d: 2, w: 5, i: 6, m: 2, q: 1}. Give prob of picking 1 m and 1 q. 1/68 Three letters picked without replacement from {m: 3, g: 9}. What is prob of picking...
{ "pile_set_name": "DM Mathematics" }
*q - 2. Let n be o(3). Suppose 4*y - n = -0. Solve -y = k - 6 for k. 5 Let s be (-4)/6*(-4 + 1). Solve 2*w + 20 = -s*w for w. -5 Suppose -2*p + 14 = -2*y, -3 = y - 0. Solve c + 1 = p for c. 3 Let s(h) = -h**3 - 6*h**2 - 6*h + 6. Let m be s(-5). Suppose 3*u = -u + 212. Suppose -u + m = -3*w. Solve w = -5*n + 4 for n. -2...
{ "pile_set_name": "DM Mathematics" }
e second derivative of -15*z**2 + 15*z**d + 9*z**5 + 8*z**5 + 16*z wrt z. 340*z**3 Suppose 56*h - 115 = 109. Let w = -9 + 13. What is the second derivative of h*b**w + 4*b - 12*b - b wrt b? 48*b**2 Let p = 24 + -22. Find the second derivative of 3*u**2 - 5*u**p + u - 22*u - u wrt u. -4 Let l = 6 + -3. Suppose -3*m = -b...
{ "pile_set_name": "DM Mathematics" }
ifths of a microgram in nanograms? 10800 How many minutes are there in 1.7354037 microseconds? 0.000000028923395 How many hours are there in 3.525354 milliseconds? 0.000000979265 What is 2294505.5 days in weeks? 327786.5 What is 5871.92 hours in nanoseconds? 21138912000000000 Convert 1.759924ug to grams. 0.000001759924...
{ "pile_set_name": "DM Mathematics" }
19) + -5*sqrt(171) - (3 + 0 + sqrt(19)). -15*sqrt(19) - 3 Simplify -2 + 4*(sqrt(1216) + sqrt(1216) + ((sqrt(1216) - (-1 + sqrt(1216)))**2 - sqrt(1216))). 2 + 32*sqrt(19) Simplify sqrt(12)/(sqrt(36) + sqrt(144)/sqrt(4) + sqrt(36)). sqrt(3)/9 Simplify (4 + 3 + sqrt(32) + sqrt(2) + 0)**2 + 5. 70*sqrt(2) + 104 Simplify -5*...
{ "pile_set_name": "DM Mathematics" }
) = -5*g**3 + g + 1. Determine n(p). 5 Let o(v) = 2*v - 2. Let l be ((-12)/(-1))/(9/(-3)). Give o(l). -10 Let d(t) be the second derivative of t**5/30 - t**4/6 - t**3/6 + 11*t**2/2 - 10*t. Let m(f) be the first derivative of d(f). Suppose 2*a - 5*a = -9. Give m(a). 5 Let c(u) = -12*u**3 - u**2 + u. Suppose 2*d = s - 0 ...
{ "pile_set_name": "DM Mathematics" }
integer? 8 What is 19178941 to the power of 1/3, to the nearest integer? 268 What is the square root of 96344 to the nearest integer? 310 What is the cube root of 4331985 to the nearest integer? 163 What is 4746080 to the power of 1/3, to the nearest integer? 168 What is the seventh root of 672484 to the nearest integ...
{ "pile_set_name": "DM Mathematics" }
-o = -3*w + 6*w + 2, 0 = -2*w - 5*o - 23. Let x be 28/7 - 1/(w/6). Suppose 0 = -0*l + l + 4. Sort x, l, -1 in ascending order. l, x, -1 Suppose 2*v - 54 = -10. Suppose 0*j + 11*j - v = 0. Put j, -1, -4, 1 in ascending order. -4, -1, 1, j Let g(t) = -t**3 + 14*t**2 + 11*t + 50. Let y be g(15). Sort y, -19, 3, -3 in asce...
{ "pile_set_name": "DM Mathematics" }
- 7 = 0. Is o a composite number? False Suppose -50 = 3*c - 335. Let y = -26 + c. Is y composite? True Suppose 5*s = m + m + 33, -9 = -4*m - 5*s. Let b be 1 + 1 + m/2. Suppose r + 0*r - 7 = b. Is r a prime number? True Let r = -3 - -2. Let z = r - -32. Is z prime? True Suppose -5 = a, -3155 = 2*q - 7*q + 2*a. Is q pri...
{ "pile_set_name": "DM Mathematics" }
ative of z(j) wrt j? 1660*j**3 Let o be 8*3/12*2. What is the third derivative of -4*n**2 + 77*n**5 - 389*n**o + 3*n**2 + 391*n**4 wrt n? 4620*n**2 + 48*n Let x be (10/(-95))/((-37)/703). Let o(f) be the first derivative of -11/4*f**4 + 0*f**x + 0*f**3 - 16 - 4*f. Differentiate o(l) with respect to l. -33*l**2 Suppose ...
{ "pile_set_name": "DM Mathematics" }
ange 2*t - 9*t**3 - 9*t**3 + 20*t**3 - 5*t**2 to the form j*t**3 + d*t**2 + v*t + g and give d. -5 Rearrange -4 + 6*g + 15*g + 4 to the form h + i*g and give h. 0 Express 14*d + 15*d - 35*d in the form s*d + t and give s. -6 Rearrange -8*j + 9*j + j**3 - 4*j**3 to n*j + g*j**2 + m + d*j**3 and give n. 1 Rearrange i**4 ...
{ "pile_set_name": "DM Mathematics" }
x**3 - 187*x**3 + 13*x**2 - 19*x**2. Calculate 13*b(k) + 6*i(k). k**3 Let m(d) be the first derivative of -2*d**3/3 + 3*d**2/2 + d - 2. Suppose 1 = -l + 6. Let j(o) = -5*o - l*o**2 + 6 - 4 + 12*o. Determine -6*j(h) + 14*m(h). 2*h**2 + 2 Suppose -2 - 52 = 3*q. Let o(v) be the third derivative of 11*v**6/120 + 3*v**5/20 ...
{ "pile_set_name": "DM Mathematics" }
omes next: 294, 600, 904, 1206, 1506? 1804 What comes next: -57, -117, -167, -201, -213, -197, -147, -57? 79 What comes next: -62, -262, -596, -1064, -1666, -2402, -3272? -4276 What comes next: 274, 550, 826, 1102, 1378? 1654 What is the next term in 56, 23, -40, -139, -280? -469 What is next in -118, -118, -130, -160,...
{ "pile_set_name": "DM Mathematics" }
128? False Does 1353 divide 1368939534? False Is 8242 a factor of 1898833170? True Is 31880927 a multiple of 1167? False Is 16 a factor of 70870272? True Does 128 divide 348777044? False Does 4 divide 14952153? False Is 4391985 a multiple of 39? True Does 378 divide 124653907? False Is 133 a factor of 926744? True Is 1...
{ "pile_set_name": "DM Mathematics" }
58896? 16 Calculate the highest common divisor of 1011 and 24601. 337 What is the greatest common factor of 4128 and 195220? 172 Calculate the greatest common factor of 657 and 2547. 9 What is the greatest common divisor of 8988 and 812? 28 Calculate the highest common factor of 525 and 61635. 105 What is the greatest ...
{ "pile_set_name": "DM Mathematics" }
st to h? (a) r (b) -2/13 (c) 1 a Let l be 0/(-1*((-119)/49 - (-12)/28)). Let u be -1*9/3 + (-24)/(-9). What is the nearest to l in u, -110/3, 0.5? u Let u = 21500 + -21500. Let w(v) = v**3 - 3*v**2 + v - 1. Let o be w(2). Which is the nearest to 3? (a) 2 (b) u (c) o a Suppose 0 = 2*k - 160 + 652. Let t = 2704/11 ...
{ "pile_set_name": "DM Mathematics" }
896.51 rounded to the nearest ten? -1900 Round 66.09 to the nearest ten. 70 Round -0.006638 to 4 decimal places. -0.0066 What is 1.2057 rounded to 1 dp? 1.2 Round -0.000022102 to 6 decimal places. -0.000022 Round 37.91 to the nearest integer. 38 Round 8.6277 to two dps. 8.63 What is 0.15195 rounded to two dps? 0.15 Rou...
{ "pile_set_name": "DM Mathematics" }
t value in 3, -2/27, 0? 0 What is the biggest value in 5, 2/15, -1, 2? 5 Which is the second biggest value? (a) -0.5 (b) -490/11 (c) 1/3 a Which is the smallest value? (a) -4 (b) -2/3 (c) -84 (d) 0 (e) 4 c Which is the fourth smallest value? (a) -0.4 (b) -11 (c) 1/5 (d) 0.3 (e) -12 c Which is the biggest v...
{ "pile_set_name": "DM Mathematics" }
factor of 41584 and 32. 16 Calculate the highest common factor of 216 and 41580. 108 Calculate the greatest common divisor of 2907 and 1989. 153 What is the highest common divisor of 5 and 945? 5 Calculate the highest common factor of 124 and 6332. 4 Calculate the greatest common factor of 1520864 and 64. 32 What is th...
{ "pile_set_name": "DM Mathematics" }