text
stringlengths
270
8.19k
meta
dict
(-8/13) Simplify b**(-22/5)*b**(-2/71)/b*(b*b/(b*b/((b/(b*(((b**27*b)/b)/b*b)/b))/b)*b)*b*b)/(b/(b/b**14*b*b)) assuming b is positive. b**(-15417/355) Simplify (s**(-9)/(s/(s**(2/17)/s*s)))/(s*s*s**(-1/16)/s*s)**(2/15) assuming s is positive. s**(-20687/2040) Simplify (((v**(-8)*v)/v)/(v*v**(-3/5)/v))/(v**13*v/((v/(v/v...
{ "pile_set_name": "DM Mathematics" }
et v(l) = l**3 - 29*l**2 - 28*l - 95. Calculate v(30). -35 Let a(c) = -41*c + 478. What is a(0)? 478 Let z(u) = 2*u**3 + 22*u**2 + 9*u - 9. What is z(-9)? 234 Let w(m) = -108*m - 129. Determine w(-5). 411 Let v(t) = -9*t**2 + 215*t - 89. Determine v(23). 95 Let v(g) = 51*g**2 - 1933*g - 189. Calculate v(38). 1 Let d(o)...
{ "pile_set_name": "DM Mathematics" }
1/5 Evaluate ((-2)/(-5))/(30/50*2). 1/3 What is the value of (14/(-35))/((-10)/(-15))? -3/5 Evaluate (-1)/((18/63)/(-2)). 7 What is the value of 90/5*2*2/(-12)? -6 Evaluate (4/(-10))/(6/(-15)). 1 -2*6/(-72)*(-147)/7 -7/2 Evaluate (-14)/(-21)*-4*9/(-84). 2/7 What is 5/(-40)*(-12)/((-6)/(-2))? 1/2 (-18)/(-12)*(-4)/3 -2 W...
{ "pile_set_name": "DM Mathematics" }
d = 0. -3, -1/2, 0, 1 Solve 3*w**5/2 - 33*w**4/2 + 75*w**3/2 - 15*w**2/2 - 39*w + 24 = 0 for w. -1, 1, 2, 8 Factor 27*y**2 + 15033*y - 3342. 3*(y + 557)*(9*y - 2) Let -3*c**2 + 18*c = 0. Calculate c. 0, 6 Determine k so that -k**2/6 - 25*k/6 - 23/3 = 0. -23, -2 Factor 5*o**4 + 60*o**3 + 50*o**2 - 60*o - 55. 5*(o - 1)*(...
{ "pile_set_name": "DM Mathematics" }
he second derivative of 74*k**3*n**2 + k**3*n - 2*k**3 - 2*k**2*n**2 - 611*k*n**2 + 2*k*n - 3*n**2 + 9*n - 220000 wrt n. 148*k**3 - 4*k**2 - 1222*k - 6 What is the third derivative of 7322884*i**5 + i**2 - 1135447*i? 439373040*i**2 Find the second derivative of -48*b**4 + 262672*b**2 - 84993326*b. -576*b**2 + 525344 Wh...
{ "pile_set_name": "DM Mathematics" }
ce px? 1/3 Four letters picked without replacement from irgugurwru. Give prob of sequence wirg. 1/840 Four letters picked without replacement from wwvwvddrwrvawvrv. What is prob of sequence ardv? 1/1456 Three letters picked without replacement from ccsgsogp. What is prob of sequence gco? 1/84 Two letters picked without...
{ "pile_set_name": "DM Mathematics" }
- 15*b - 11. Let q(z) be the first derivative of x(z). Factor q(p). -2*(p - 1)**3/11 Let j(x) be the second derivative of 0 - 15/16*x**4 + 13*x - 375/8*x**2 + 3/80*x**5 + 75/8*x**3. Factor j(r). 3*(r - 5)**3/4 Let j = 1276/3 + -424. Solve -10/3*y**3 - 6*y + j + 8*y**2 = 0. 2/5, 1 Suppose 293 + 12*y**2 + 3*y**3 - 293 - ...
{ "pile_set_name": "DM Mathematics" }
ppose 10*f = 207 + 1193. Does 28 divide f? True Suppose -3*u + 9 = -18. Let s be u/36 + (-11)/(-4). Suppose -s*d - d = -96. Does 8 divide d? True Suppose 3*d = -3*z + 144, -2*d + 0*z = -4*z - 78. Is d a multiple of 12? False Suppose 2*l - 9 - 3 = 0. Let z be (2 - -1) + -4 + 4. Does 5 divide z/(1*3/l)? False Let a(p) = ...
{ "pile_set_name": "DM Mathematics" }
the third derivative of d**6/1260 + 23*d**5/210 + 15*d**4/28 + 101*d**3/3 + 4*d**2 + 3. Let k(v) be the first derivative of r(v). Factor k(z). 2*(z + 1)*(z + 45)/7 Let m(x) be the second derivative of 2*x**6/45 - 12*x**5/5 + 358*x**4/9 - 136*x**3 + 578*x**2/3 - 5*x - 53. Determine q, given that m(q) = 0. 1, 17 Solve 5...
{ "pile_set_name": "DM Mathematics" }
, -4*o = -2*g. Solve -3*i = 2*s + o, 4*i + 7*s = 3*s - 4 for i. 0 Let q = 29 - 23. Solve q = -2*h, -4*l + l = -2*h - 3 for l. -1 Let b = 4 - 7. Let j(m) = -m**3 - 3*m**2 + 2. Let f be j(b). Suppose -4*x + 1 + 15 = -f*i, 4*x - 14 = i. Solve -c = x*v - 4 - 2, 0 = -3*v + 4*c - 9 for v. 1 Let i = 2 + -2. Solve 2*j + 1 + i ...
{ "pile_set_name": "DM Mathematics" }
Let v be (-6)/(-4) + (-10)/(100/(-105)). Suppose 7*j - 3*j - v = 0. Solve 1 = -j*x - 5 for x. -2 Suppose -9 = -2*g + 1. Suppose -u - 4*u = -g. Let w = -1447 + 1454. Solve -4*x - w = u for x. -2 Let u(q) = -q + 9. Let w be u(7). Let y(h) = -1 + 4*h - 4 - h - w*h. Let i be y(7). Solve -n - n - i = 0 for n. -1 Suppose 286...
{ "pile_set_name": "DM Mathematics" }
**43)/(r**(9/4)/r**(-2/5))**28 assuming r is positive. r**(-1279/20) Simplify ((f*f*f*f**(1/3)*f*f)**(-4/17))**(3/22)/((f/f**(1/2))/f**3)**(-34) assuming f is positive. f**(-15927/187) Simplify ((x/(x/x**(4/3))*x)/(x*x**(-9)))**36/((x**(3/2)/x)/((x**(2/15)*x)/x)*x/x**8*x**(7/4)) assuming x is positive. x**(22613/60) Si...
{ "pile_set_name": "DM Mathematics" }
ps. -0.000002 Let c = -9.4479 + 9.51. Let h = -2.4 + 2.341. Let w = h + c. Round w to 3 decimal places. 0.003 Let k = 7054 - 16254. What is k rounded to the nearest one thousand? -9000 Let t = 0.269 + 0.821. What is t rounded to one decimal place? 1.1 Suppose -4*f = l - 209920, 3*f - 157445 = -0*l - 2*l. Suppose -4*d +...
{ "pile_set_name": "DM Mathematics" }
- 3*s to m*s + y and give y. 206 Express 137*s - 4*s**2 - 47*s + 17*s**2 - 14*s**2 - 6*s**2 - 3 as n*s + l*s**2 + d and give d. -3 Rearrange (218 + 89 - 92)*(3 - 5 - 1 - 1)*(5*x + 0*x + 5*x) to j + i*x and give j. 0 Rearrange (-2*l + 2*l + l)*(-5 + 5 - 2*l) - 2*l**2 + l - l + (0 + 1 + 1 - 5*l)*(-2*l + 30*l - 5*l) + 0*...
{ "pile_set_name": "DM Mathematics" }
-5 (-2)/(-36)*((-112)/64 + 1) -1/24 Calculate -25*22/(-5500)*(-8)/(-6). 2/15 Calculate (-1 - (-42)/38) + 508/(-4826). 0 What is the value of (-55 - -63 - 156/(-75)) + 10/(-125)? 10 What is 45/165 - (-387)/33? 12 Calculate (-8)/3*(-1695)/12430. 4/11 430/(-700)*5 - (28/(-8) - -3) -18/7 What is the value of (-32 - -28)*(-...
{ "pile_set_name": "DM Mathematics" }
- 2 + 4*s - 6*s**2. Suppose 5*o = -l + o + 22, -2*o + 2 = -4*l. Does 12 divide i(l)? True Let j(l) = -3*l + 19. Let r be j(4). Suppose 108 = -3*v + r*v. Is v a multiple of 5? False Suppose -4*t = 8 - 24. Let o be (3 + t)*3/7. Suppose -7*k = -o*k - 52. Is 7 a factor of k? False Suppose 5*q + 4*y = 6*y + 577, -q + 116 = ...
{ "pile_set_name": "DM Mathematics" }
*a). -187*a**5 - 2*a**4 Expand (6*n + 17 + 16 - 30 - 18*n**2)*(-2*n + 3*n + n). -36*n**3 + 12*n**2 + 6*n Expand (-42 + 86268*w - 3*w**2 - 86268*w)*(3 - 2 - 3 + (-5 - 1 + 4)*(-2 + 2 - 1) - 2 - 2 + 3). 3*w**2 + 42 Expand (-v + 0*v - 7*v)*(-4 + 1 - 3). 48*v Expand (-61 - 79 - 30 + 22)*(3*a**2 - a**2 + 0*a**2). -296*a**2 E...
{ "pile_set_name": "DM Mathematics" }
rob of sequence ad when two letters picked without replacement from {d: 5, a: 8}? 10/39 Calculate prob of sequence nj when two letters picked without replacement from {a: 2, n: 2, j: 3, v: 4}. 3/55 Three letters picked without replacement from gggvkgbgbevgv. What is prob of sequence kkg? 0 What is prob of sequence yy w...
{ "pile_set_name": "DM Mathematics" }
5*l. Solve 3*x = -4*v - 2*x - h, -5*v - t = -2*x for v. -5 Suppose 5*d = -a + 45, 3*d - 4 - 8 = 0. Suppose a = -7*r + 60. Solve -3*z + 10 + r = 0, -2*z = 2*j - 8 for j. -1 Let r(v) = 6*v**2 - 2*v - 12 + 32 + v**3 - 3*v**2 - 22. Let f be -1*2*3/2. Let o be r(f). Solve -o*w + u + 13 = 0, 5*u + 2 = -4*w + 3*w for w. 3 Sup...
{ "pile_set_name": "DM Mathematics" }
- 5 + 8 + 67*l in the form t + h*l and give t. 2 Express 2 - 8 - b - 3 as w*b + n and give n. -9 Express (2*p - 7*p - 4*p)*(1 + 2 + 0) as f + g*p and give g. -27 Express 2 + 5 + 4*p - 1 in the form o*p + x and give x. 6 Express 2*p**2 + 5*p - 12*p**3 + 21*p**3 - 15*p**3 as o + r*p**3 + g*p**2 + j*p and give r. -6 Expr...
{ "pile_set_name": "DM Mathematics" }
-4/5 (c) -4 (d) -2/23 b Which is the biggest value? (a) 0.1 (b) -0.7 (c) -0.3 (d) 0 a What is the fourth smallest value in -0.2, -2/5, 0.2, -1, -3? -0.2 Which is the smallest value? (a) 0.91 (b) -0.2 (c) 0 b Which is the fifth biggest value? (a) -2 (b) -3/11 (c) -0.3 (d) 2 (e) 3 a Which is the third bigg...
{ "pile_set_name": "DM Mathematics" }
63*i**2 - 66*i + 24 = 0. What is i? 1, 2, 4 Suppose -3*r**5 - 87*r**4 = 0. Calculate r. -29, 0 Find c, given that -c**5/11 + 13*c**4/11 - 43*c**3/11 + 19*c**2/11 + 4*c - 32/11 = 0. -1, 1, 4, 8 Suppose 5*a**3 - 1430*a**2 - 1445*a + 2870 = 0. Calculate a. -2, 1, 287 Determine t, given that 4*t**2/5 + 4376*t/5 - 876 = 0. ...
{ "pile_set_name": "DM Mathematics" }
t o be c(-150). Solve -o*y = 2*l + 14, 15*y = 19*y + 5*l + 1 for y. -4 Suppose 8*y + 92 = 28. Let p(d) = -13*d - 102. Let b be p(y). Solve r + 2 = b*s - 0, 35 = 5*r + 5*s for r. 4 Let f be 16/10*(-100)/(-80). Solve -19*v + 22*v - f*d = 19, 2*d - 2 = -4*v for v. 3 Let q(s) = s**3 + 29*s**2 + 54*s + 9. Let n be q(-27). L...
{ "pile_set_name": "DM Mathematics" }
34? True Does 30 divide 2430? True Does 33 divide 561? True Is 9741 a multiple of 191? True Is 80218 a multiple of 210? False Is 33 a factor of 32056? False Is 349 a multiple of 5? False Does 6 divide 1314? True Does 14 divide 7222? False Is 59 a factor of 16461? True Is 2964 a multiple of 78? True Is 11954 a multiple ...
{ "pile_set_name": "DM Mathematics" }
- 20*n + 99*n, -4*n - 53 = -5*x for x. 1 Solve -10365*w - 545 = -5*a - 10325*w, 0 = 2*a + 5*w + 76 for a. -3 Solve 857*r + 4*s = 856*r + 23, 3*s = -5*r + 13 for r. -1 Solve 0 = -5*j - 4*s - 163, 0*j - j - 630 + 353 = 6*s for j. 5 Solve 5100*z - 5102*z = -3*n + 53, -12*n - z = 94 for n. -5 Solve 15 = -5*b + 3162*y - 31...
{ "pile_set_name": "DM Mathematics" }
- 510. Determine g(65). -120 Let m(c) = 4*c**2 - 7*c + 62. Calculate m(8). 262 Let k(f) = -5*f - 110. Give k(-25). 15 Let j(d) = d**3 - 27*d**2 + 11*d + 889. Give j(25). -86 Let z(f) = -229*f**2 + 5728*f - 75. What is z(25)? 0 Let q(f) = -237*f + 11133. What is q(47)? -6 Let b(x) = -878*x + 6178. Determine b(7). 32 Let...
{ "pile_set_name": "DM Mathematics" }
et a = -855 + 2524. Find the second derivative of -819*o**4 - 33*o + 2*o**2 + a*o**4 - 3 - 758*o**4 wrt o. 1104*o**2 + 4 Let x be 10/(-3)*18/(-12). Suppose -148 + 58 = -15*b. What is the second derivative of -v**4 + b*v**x + 35*v + v**4 - 48*v wrt v? 120*v**3 Suppose 0 = -3*z + 4*s + 22, z - 9 + 3 = 2*s. What is the th...
{ "pile_set_name": "DM Mathematics" }
- f for l. 0 Let m be 16/6*39/26. Solve -2*x = 3*s + 1 + m, 5*x + 4*s = 5 for x. 5 Let t(n) = -n**3 - 3*n**2 + 4*n - 1. Let m be t(-4). Let s(j) = j. Let k be s(1). Let o be 2 - k*(1 + m). Solve o*y - 2*r = -0*y - 14, 2*r = -5*y - 21 for y. -5 Let a = 47 + -18. Let p = -29 + a. Solve p*m + m + 1 = -2*g, 7 = -2*g + m fo...
{ "pile_set_name": "DM Mathematics" }
s positive. l**(29681/44) Simplify (((l**(-2/5))**36/((l*l*l**(-1/11)*l*l)/(l*l*l*l**(3/2)*l)))**(-2/95))**(2/117) assuming l is positive. l**(2818/611325) Simplify ((n/(n*n**(7/2))*n*n*n**(-15))/((n/(n**24/n))/(n**15/n)))**(1/36) assuming n is positive. n**(13/24) Simplify (p**(5/3)/((p*p/p**(-1/20))/p)*(p**(1/7))**(9...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from yptzqky. What is prob of sequence qpyk? 1/420 What is prob of sequence nnn when three letters picked without replacement from {n: 3, e: 1}? 1/4 Four letters picked without replacement from eezezvhezezeh. What is prob of sequence vhzh? 1/2145 Calculate prob of sequence ai when two letters picked ...
{ "pile_set_name": "DM Mathematics" }
4 What is the y'th term of -17, 40, 195, 496, 991, 1728, 2755? 8*y**3 + y**2 - 2*y - 24 What is the f'th term of -147, -295, -443, -591, -739, -887? -148*f + 1 What is the c'th term of 8785, 8787, 8789, 8791, 8793, 8795? 2*c + 8783 What is the u'th term of -12, -6, 0? 6*u - 18 What is the p'th term of 254, 509, 764, 1...
{ "pile_set_name": "DM Mathematics" }
(3/(-9)). Which is the closest to -1? (a) -0.4 (b) q (c) -1/6 b Let l be 10/(-15)*(-1)/(-6). Which is the closest to 2/3? (a) 0.4 (b) -0.4 (c) l a Let y(c) = -c**2 + c + 28. Let r be y(6). What is the closest to 0 in r, 5/6, 0.1? 0.1 Let l = 1.935 + 0.065. Which is the nearest to l? (a) 5 (b) -0.2 (c) -1/2 b L...
{ "pile_set_name": "DM Mathematics" }
5 - d = 0. -1, 0, 1 Let i(a) be the first derivative of -47*a**3/3 - 46*a**2 + 4*a - 306. Determine t, given that i(t) = 0. -2, 2/47 Solve -14/5*k**2 + 2/5*k**3 - 88/5*k + 0 = 0 for k. -4, 0, 11 Factor -4/3*z**2 + 4*z + 40/3. -4*(z - 5)*(z + 2)/3 Let d be (-39)/(-18) - (-106)/(-53). Factor -1/3*r + 1/6 + d*r**2. (r - 1...
{ "pile_set_name": "DM Mathematics" }
4/7*a**2 + 4/21*a**3 + 15 - 1/42*a**4. Let h(o) be the first derivative of m(o). Factor h(c). -2*(c - 2)*(c + 1)*(c + 2)/7 Factor -68/13 + 2/13*u**2 + 30/13*u. 2*(u - 2)*(u + 17)/13 Let x be (-786)/2620*(75/27 + -5). Factor 20/3*l - x*l**2 + 22/3. -2*(l - 11)*(l + 1)/3 Find r such that 2/5*r**2 - 888/5*r + 0 = 0. 0, 44...
{ "pile_set_name": "DM Mathematics" }
+ c**4 + 0*c + 2*c + c + 0*c**3 - 8 + 8*c**3 wrt c. 12*c**2 + 48*c Let g(j) = -21*j**4 - 3*j**3 + 141*j - 1. Let z(k) = -64*k**4 - 8*k**3 + 424*k - 3. Let q(c) = 8*g(c) - 3*z(c). What is the second derivative of q(r) wrt r? 288*r**2 Let g(a) be the second derivative of -a**8/420 - a**4/6 + 7*a**3/6 + 4*a. Let t(i) be t...
{ "pile_set_name": "DM Mathematics" }
itre in millilitres? 240 What is 1/20 of a decade in months? 6 What is 847605.2ng in grams? 0.0008476052 How many seconds are there in 1/45 of a week? 13440 Convert 66818.94 weeks to days. 467732.58 How many centimeters are there in 1/20 of a kilometer? 5000 What is 3.3764458 days in weeks? 0.4823494 Convert 888.9635 m...
{ "pile_set_name": "DM Mathematics" }
t value? (a) -4332 (b) 3 (c) -1/2 (d) 0.2 (e) 0.5 (f) -4 d Which is the third biggest value? (a) 0.7 (b) -180/49 (c) -5/4 (d) 5/3 c Which is the fourth smallest value? (a) -0.04 (b) -11 (c) 0 (d) 3 (e) 0.5 e Which is the third smallest value? (a) -4/3 (b) 6/5 (c) -246731 b What is the smallest value i...
{ "pile_set_name": "DM Mathematics" }
Let r(w) = -4*w**3 + 5*w**2 + 6. Let a(c) = 5*c**3 - 6*c**2 - 7. Determine k*a(t) + 7*r(t). 2*t**3 - t**2 Let y = 7 + -5. Let q be 0 + -1 - 6/(-2). Let a(f) = -q*f**2 + f**2 + y*f**2. Let w(i) = -2*i**3 + 10*i**2 + 2*i. What is -10*a(t) + w(t)? -2*t**3 + 2*t Let y(s) = s - 4. Let u(h) = 21 - 39 + 16. Let v(p) = -p**2 ...
{ "pile_set_name": "DM Mathematics" }
/13 + 16 + (-2520)/182. Let p(z) = 10722 - 10721 - h*z + 6*z. Determine p(-3). -11 Let b(o) = -o**2. Let i(c) = 8. Let x(m) = -2*b(m) - i(m). Suppose 24*p + s = -81, 0 = -p - s + 11 - 23. What is x(p)? 10 Let u(l) = 57*l**2 + 16*l - 62. Let w(a) = 556*a**2 + 159*a - 621. Let r(c) = -39*u(c) + 4*w(c). Give r(-19). 67 Su...
{ "pile_set_name": "DM Mathematics" }
9*g + 15*g - 2*d, 0 = 9*g + 5*d - d + 40 for g. 0 Solve -4*l - 4*y - 220 = 0, -1912*y - 110 = 3*l - 1920*y for l. -50 Solve 4*m - 4*h = 16, 0 = 495*m - 586*m + h + 814 for m. 9 Solve -11*z + 16*z - 3*h - 557 = -473, -3*h - 9 = 0 for z. 15 Solve -2*l + 7*r - 8*r = -14*r + 15*r + 28, 0 = -3*r - 27 for l. -5 Solve -5*o - ...
{ "pile_set_name": "DM Mathematics" }
7, 13, 167 List the prime factors of 79882. 2, 11, 3631 What are the prime factors of 622743? 3, 11, 113, 167 What are the prime factors of 22834852? 2, 199, 28687 List the prime factors of 8117092. 2, 17, 79, 1511 List the prime factors of 652695. 3, 5, 53, 821 What are the prime factors of 5433294? 2, 3, 47, 19267 W...
{ "pile_set_name": "DM Mathematics" }
6? 2, 3, 277, 599 What are the prime factors of 2252773? 19, 139, 853 List the prime factors of 608955. 3, 5, 40597 List the prime factors of 12258294. 2, 3, 127, 16087 List the prime factors of 248149. 11, 17, 1327 List the prime factors of 228929. 228929 What are the prime factors of 3383937? 3, 41777 List the prime ...
{ "pile_set_name": "DM Mathematics" }
-7/6. Suppose -v - 11 = -0*z + 5*z, -3*z = -3*v + 21. Let x be v/(-6) - 57/(-45). Put x, -2, q in increasing order. -2, q, x Let l = 67 - 67.3. Sort l, -2/25, 1/2, 1 in decreasing order. 1, 1/2, -2/25, l Suppose -2 = 3*b + 1. Let d be 165/(-35) + 4/(-14). Sort d, b, 3. d, b, 3 Let k(s) = -s + 15. Let h be k(11). Let o...
{ "pile_set_name": "DM Mathematics" }
9996, -2, 1/5, 2/3, 16. -2, 1/5, 2/3, 16, 9996 Sort -10, 8, 0.21, -4 in ascending order. -10, -4, 0.21, 8 Put -12, -9, -3, -1, 2 in decreasing order. 2, -1, -3, -9, -12 Sort 2/7, -5, -0.3, 160, -2/13 in increasing order. -5, -0.3, -2/13, 2/7, 160 Sort -3, 61, 4/5, 0 in descending order. 61, 4/5, 0, -3 Put -4, -39, 0, -...
{ "pile_set_name": "DM Mathematics" }
suming u is positive. u**(-113/24) Simplify (k/(k/(k*(k/(k*k*k**(-2)*k))/k)))**(-16)/(k*(k/(k*k*(k*k**(-5))/k))/k*k**(-9)) assuming k is positive. k**5 Simplify ((c*c*c*c**(-2/3)*c)**(10/3))**5 assuming c is positive. c**(500/9) Simplify (c**(2/9))**(-9/4)/(c**(-7)*c**(2/9)*c) assuming c is positive. c**(95/18) Simplif...
{ "pile_set_name": "DM Mathematics" }
late the highest common divisor of a and 24. 8 Suppose -160 = -4*p - 2*t, 153 = 4*p + 4*t - 15. Calculate the greatest common divisor of 247 and p. 19 Suppose 0 = 3*h - 5*c - 311, 4*c - 570 = -5*h + 2*c. Suppose 0 = y - 5*y + h. Suppose -5*v + y + 17 = 0. What is the greatest common divisor of v and 54? 9 Suppose 0 = 4...
{ "pile_set_name": "DM Mathematics" }
63*c**3. -c**3 Collect the terms in 36*c**2 - c**2 + 24*c**2 - 3*c**2. 56*c**2 Collect the terms in 2*n**3 + 5*n**3 - 43*n - 2*n**3 + 43*n. 5*n**3 Collect the terms in -37*s**3 + 38*s**3 + s - s + 0*s. s**3 Collect the terms in -579*n - 579*n + 1158*n - 7*n**2. -7*n**2 Collect the terms in 2*t**2 + 57802*t - 57802*t. ...
{ "pile_set_name": "DM Mathematics" }
p = -97 + 130. Let u = p - 40. Is u less than or equal to m? True Let y = -13 - -15. Suppose -2*r - 13 = y*f - 45, -5*r = 2*f - 80. Suppose -o + 26*l - 25*l = -15, -2*o + 3*l + 28 = 0. Are r and o nonequal? True Let y = 4767 + -4765. Which is smaller: -468 or y? -468 Suppose -130*w + 37 = 5107. Which is smaller: w or 1...
{ "pile_set_name": "DM Mathematics" }
-383/5. Let f(g) be the first derivative of 0*g**2 + x*g**5 - 2 + 1/3*g**3 + 0*g + 0*g**4. What is the third derivative of f(a) wrt a? 72*a Let h = 8 + -3. Let c be 5*(12/h)/2. Find the third derivative of 3*o**6 - 2*o**2 + 0*o**c + 3*o**2 wrt o. 360*o**3 Let a(j) be the third derivative of -1/24*j**6 + 0 + 1/12*j**5 +...
{ "pile_set_name": "DM Mathematics" }
**2 + 8*l - 2. Let z be a(h). Solve -z = 5*n - 0*n for n. -1 Let o be ((-4)/6)/((-10)/(-75)). Let p = 0 - o. Solve p*w - 3*w = 10 for w. 5 Let k = 11 + -8. Suppose -k = 2*n - 3*n. Solve -6*v + n = -3*v for v. 1 Let y(w) = w + 21. Let g be y(-16). Solve 8 = -g*h - 2 for h. -2 Let p(t) = -t**3 + 6*t**2 + t - 5. Let s be ...
{ "pile_set_name": "DM Mathematics" }
here between 9:04 PM and 7:11 AM? 607 What is 353 minutes after 5:14 AM? 11:07 AM How many minutes are there between 3:12 PM and 10:54 PM? 462 How many minutes are there between 7:08 AM and 8:17 AM? 69 How many minutes are there between 12:02 AM and 10:57 AM? 655 How many minutes are there between 5:39 AM and 8:53 AM? ...
{ "pile_set_name": "DM Mathematics" }
90 - 11*h**5/6 + 163*h**4/18 + 973*h**3/18 + 539*h**2/6 - 4232*h. Let w(c) = 0. Calculate c. -11, -1, 7 Find o, given that -99/7 - 99/7*o**4 + 6/7*o**3 - 3/7*o**5 + 198/7*o**2 - 3/7*o = 0. -33, -1, 1 Let f = -719 - -1205. Let k = f + -969/2. Find p such that -1 + k*p - 1/2*p**2 = 0. 1, 2 Suppose 1493 = 7*m + 240. Let q...
{ "pile_set_name": "DM Mathematics" }
/o)*o)/o*o)/(o*o**(-2/3)/o))*(o**(-9)/(o/(o**(-1)/o)*o*o))**(-14/11) assuming o is positive. o**(3523/165) Simplify ((b/b**(-9)*b)/(b*b**(-2/7)))**(-36/5)*(((b/b**(-2/3))/b)/(b*b*b**4*b*b))**44 assuming b is positive. b**(-41656/105) Simplify i**(-15)*(i*i**(2/7)/i)/i*i**(-31)/i**(35/3) assuming i is positive. i**(-122...
{ "pile_set_name": "DM Mathematics" }
s positive. a**(35/2) Simplify (b/((b/(b*b**(-1/32)*b)*b*b*b)/b*b))/b**(-15) assuming b is positive. b**(447/32) Simplify (t/t**(3/2)*(t/(t**(-4)/t))/t)**14 assuming t is positive. t**63 Simplify (i/(i/((i/(i/i**(-3/19)))/i)*i)*i**(2/27))**(-37) assuming i is positive. i**(39553/513) Simplify (((o**3*o*o)/o)**5)**(-2/1...
{ "pile_set_name": "DM Mathematics" }
5*w, 2*w = 0. Find the common denominator of 353/(-45) - (-32)/i and 15/11. 99 Let h = -4 - -8. Calculate the smallest common multiple of 11 and h. 44 Let h = 633945/32 + -19813. Find the common denominator of 49/4 and h. 32 Suppose x + z = -3*z - 70, -2*x - 5*z = 146. Let a be (-5)/((-5)/x) - 2. Calculate the common d...
{ "pile_set_name": "DM Mathematics" }
(sqrt(99) + 3) + -4*(sqrt(99) - (sqrt(99) + -4)))*5 + -5))**2. -57600*sqrt(11) + 382000 Simplify ((sqrt(1470) + sqrt(1470) + sqrt(1470) + (-4*sqrt(1470)*-2 - sqrt(1470)) - 1*sqrt(1470)*-6)*2)/(-1*3*(sqrt(10)*2*4 + (sqrt(90)*2)/sqrt(9))). -112*sqrt(3)/15 Simplify ((sqrt(300) + sqrt(300)*-3*1 - sqrt(300) - -4*(sqrt(300) ...
{ "pile_set_name": "DM Mathematics" }
2, -10? 8 Which is the closest to -0.1? (a) -296/19 (b) 1 (c) -5/41 c What is the nearest to 1315 in -3, 11, -0.1, -4? 11 Which is the nearest to 1? (a) -1 (b) 683 (c) 5 (d) -1/7 (e) -2 d What is the closest to 0 in 2, -5, -116, -2/145? -2/145 Which is the nearest to -2? (a) 0.4 (b) -56/9 (c) -51/4 (d) 4 (...
{ "pile_set_name": "DM Mathematics" }
(4*sqrt(686)*-1 - sqrt(686)))/((-2*sqrt(6048))/(sqrt(18)/(sqrt(12)/sqrt(4)))). -7*sqrt(2)/4 Simplify (((3 + sqrt(2057))*-3)**2*6 + (-6*((sqrt(2057) - (sqrt(2057) + 3)) + -3))**2)*3. 10692*sqrt(17) + 338580 Simplify 2 + (-2*sqrt(14)/sqrt(2) + -2 + (sqrt(7) - (-2 + sqrt(7) + -1)) + 1 + -2)**2. 30 Simplify (-3*sqrt(88)/(...
{ "pile_set_name": "DM Mathematics" }
38, m = n - 5*s. What is the remainder when n is divided by 3? 0 Let s = -1 - -4. Suppose 0 = -j + 3*h + 1, 10 = s*j + h - 3. Suppose j*l - 48 = l. Calculate the remainder when 46 is divided by l. 14 Suppose 7*o + 4*j = 2*o - 68, -4*j + 40 = -4*o. Calculate the remainder when 34 is divided by (-14 - -16)/((-2)/o). 10 L...
{ "pile_set_name": "DM Mathematics" }
= -81*y - 342 for y. -1 Solve -250*h = -199*h + 612 for h. -12 Solve -42 = -23*u - 19 for u. 1 Solve 355*y + 3835 = -412*y for y. -5 Solve 460*r + 6603 = -297 for r. -15 Solve 0 = -12*q + 12*q + 16*q - 96 for q. 6 Solve 742*i = -474*i + 310*i - 21744 for i. -24 Solve 883*k - 5597 = 175*k - 14093 for k. -12 Solve 38*p -...
{ "pile_set_name": "DM Mathematics" }
*m - 12 = -0*m, t*m + 4 = 0. Suppose 0 = -5*q + 5, -c*a + 0*q + 54 = 4*q. What is a rounded to the nearest ten? 30 Let s = 0.5 - 0.35. Let o = s + -0.6. What is o rounded to one decimal place? -0.5 Let q = -0.0778 + -34.1022. Let o = q + 0.18. Let b = -34.00000061 - o. Round b to seven decimal places. -0.0000006 Let m ...
{ "pile_set_name": "DM Mathematics" }
864, 846, 848, 876, 936, 1034, 1176? 1368 What is next in -1866, -6472, -14150, -24900, -38722, -55616? -75582 What comes next: 183595, 183608, 183619, 183628, 183635, 183640? 183643 What is the next term in 3486, 6924, 10362, 13800, 17238? 20676 What is next in -137, -396, -797, -1340, -2025, -2852? -3821 What comes ...
{ "pile_set_name": "DM Mathematics" }
ple of 175 and 22? 3850 Find the common denominator of 113/4440 and -71/5565. 1647240 Calculate the smallest common multiple of 119436 and 59718. 119436 Find the common denominator of 95/283538 and -127/18. 2551842 Find the common denominator of -32/93 and 10/32271. 32271 Calculate the lowest common multiple of 33 and ...
{ "pile_set_name": "DM Mathematics" }
he terms in -2 + 0 - 2910*h + 2. -2910*h Collect the terms in -206*u**2 - 202*u**2 - 210*u**2 + 694*u**2. 76*u**2 Collect the terms in -20*j - 3*j**3 - 3*j**3 - 7 - 29*j. -6*j**3 - 49*j - 7 Collect the terms in -636*k**3 - 488*k**3 + 1139*k**3. 15*k**3 Collect the terms in -4528826*j**2 + 4528826*j**2 + 22*j**3. 22*j**...
{ "pile_set_name": "DM Mathematics" }
4*v, -3*i + 0*i = 5*v - w. Suppose -102 = 5*u - i*u. List the prime factors of u. 2, 17 Let w be -11 - -5 - (1 + 0). Let b = w - -31. Suppose 3*n + 40 = 2*t, b = -4*t - 3*n + 122. What are the prime factors of t? 23 Let o = -49 + 52. Suppose 3*l = 5*f - 506, 5*f - 4*l - 511 + o = 0. What are the prime factors of f? 2, ...
{ "pile_set_name": "DM Mathematics" }
(32/1911) Simplify (v**14)**33 assuming v is positive. v**462 Simplify p**(-5)/(p/(p**(-16)*p)) assuming p is positive. p**(-21) Simplify (o/(o**38*o*o))/(o*o*o**(-5/3)) assuming o is positive. o**(-118/3) Simplify o*o**(-6)*o/((o/(o*o**(-1))*o)/o*o)*(o**7*o)/(o*((o*(((o**2*o)/o)/o)/o)/o)/o) assuming o is positive. o**...
{ "pile_set_name": "DM Mathematics" }
-10876, -18748, -29724? -44320 What comes next: 79, 177, 333, 553, 843, 1209? 1657 What is the next term in 6, -13, -26, -27, -10, 31, 102? 209 What is the next term in -26124, -26206, -26342, -26532? -26776 What is next in -60, -114, -166, -216, -264, -310? -354 What comes next: 2641, 5325, 8107, 11035, 14157, 17521? ...
{ "pile_set_name": "DM Mathematics" }
t o(n) = -6*n - 2. What are the prime factors of o(z)? 2, 5 Let u be ((1 + -10)/3)/(-1). Suppose 0 = -5*y - 3*b - b + u, -12 = -y + 3*b. Let f = y + 1. What are the prime factors of f? 2 Let h be 2/(2*(-1 - -2)). Suppose 5*t = 3*f + 12, 2*f + h = 2*t - t. List the prime factors of t. 3 Let k(j) = 10*j**2 + 4*j - 2. Let...
{ "pile_set_name": "DM Mathematics" }
= 0. Let f = m - -75. What is f rounded to the nearest ten? 30 Let h = 952.0931 - 953.1. Let k = 0.1701 - h. What is k rounded to 1 decimal place? 1.2 Let l(i) = -956*i**2 - 2*i - 16. Let r be l(-13). Let s = r - -851554. Round s to the nearest 100000. 700000 Let g = -167.234 + 167. Let t = g + -2.056. Let b = t + 0.7...
{ "pile_set_name": "DM Mathematics" }
rom 1466.8855. 15210182.8855 What is the distance between 9111.167 and 94600? 85488.833 9734.03208178 - 0.2 9733.83208178 What is the distance between -0.28 and -32765524583? 32765524582.72 What is the distance between -143608654002 and 271? 143608654273 What is the distance between -0.02455083832 and 2301? 2301.024550...
{ "pile_set_name": "DM Mathematics" }
(c) -0.5 (d) -100 (e) -2/5 a Which is the sixth biggest value? (a) -1 (b) 442 (c) -2.1 (d) -4 (e) 1 (f) 4 d What is the fourth smallest value in 48, 1/4, 139271, -3? 139271 Which is the second biggest value? (a) -13/4 (b) 1/3 (c) 1.9652 b Which is the third smallest value? (a) 0.7 (b) -26/9 (c) 3 (d) -2...
{ "pile_set_name": "DM Mathematics" }
be 1*(0 - 1) + 8. Suppose 0 = -2*t + u*t. Suppose x + t*p - 23 = -3*p, 4*x = -5*p + 64. List the prime factors of x. 11 Suppose 0 = 2*q - 76 - 4. What are the prime factors of q? 2, 5 Suppose l + 5*s + 23 + 2 = 0, -5*s = -4*l + 25. Suppose l = 3*q - q - 38. List the prime factors of q. 19 Suppose -356 = -5*u + u + 5*v,...
{ "pile_set_name": "DM Mathematics" }
*2 + 3*y + 2. Let b be c(-4). Let a(p) = 6 - 9 - 1117*p + 1118*p. Let h(z) = -z + 5. Give b*h(j) + 10*a(j). 4*j Let h(r) be the third derivative of 5*r**4/24 - 5*r**3/2 + r**2. Let p(o) = 1. Suppose 17*s + 5 = -4*u + 18*s, -s = -1. Determine u*h(i) - 15*p(i). -5*i Let b(c) = 54*c - 2. Let x(t) = -52*t + 1. Give -5*b(d)...
{ "pile_set_name": "DM Mathematics" }
b of sequence dd? 1/57 Calculate prob of sequence jtfo when four letters picked without replacement from ffhjgot. 1/420 Calculate prob of sequence jw when two letters picked without replacement from hiihhihcjgiwihhchhig. 1/380 Two letters picked without replacement from {y: 11, e: 9}. Give prob of sequence ey. 99/380 T...
{ "pile_set_name": "DM Mathematics" }
r 397? 397 Which is greater: 168 or 164? 168 Is -531 < 0.1? True Which is bigger: 1 or -2499? 1 Which is smaller: 127 or 126? 126 Is 1 greater than 2/18751? True Is -2/3 less than -7? False Are -529 and 1 unequal? True Which is greater: -425 or -451? -425 Which is smaller: -2 or -60/23? -60/23 Is -528 less than -528? F...
{ "pile_set_name": "DM Mathematics" }
3*r**3 - r**2 Let b(k) = k**2 - 11*k + 25. Let u be b(6). Let g(j) = -4*j**3 + 4*j**2 + 4*j - 4. Let h(f) = 4*f**3 - 5*f**2 - 5*f + 5. Determine u*g(p) - 4*h(p). 4*p**3 Let i(d) = 30*d + 25. Let v(k) = -5*k - 2 + 4 - 6. Determine -4*i(n) - 25*v(n). 5*n Let o(w) = w - 1. Let a(r) = -r**2 - 3*r + 4. Suppose 2*u + 3*u = -...
{ "pile_set_name": "DM Mathematics" }
arest integer? 11 What is 33709 to the power of 1/2, to the nearest integer? 184 What is the ninth root of 66949 to the nearest integer? 3 What is the tenth root of 20161 to the nearest integer? 3 What is the square root of 10831 to the nearest integer? 104 What is the seventh root of 858 to the nearest integer? 3 What...
{ "pile_set_name": "DM Mathematics" }
give l. -31212 Express (0 + 166*d**2 + 431*d**3 + 0 - 166*d**2)*(0 - 2 + 10)*(4*d + 0 + 0) in the form h*d + c*d**3 + o*d**4 + w + x*d**2 and give o. 13792 Express 333*r**3 - 464*r**3 - 3*r**2 - r**2 + r**2 + 275*r**3 as g*r**2 + m*r**3 + w + a*r and give w. 0 Rearrange (-1 + 3 - 3)*(1 - 1 - x) + 61*x + 27*x - 21*x + ...
{ "pile_set_name": "DM Mathematics" }
0. What is p? -2, -1, 12 Factor 6*o**3 - 3467*o**2 - 4052*o - 579. (o - 579)*(o + 1)*(6*o + 1) Factor -56307*c**2/7 + 14796*c/7 - 972/7. -3*(137*c - 18)**2/7 Factor 3*s**2 + 207*s + 594. 3*(s + 3)*(s + 66) Let 2*v**5/15 + 98*v**4/15 + 596*v**3/5 + 14728*v**2/15 + 52528*v/15 + 21952/5 = 0. Calculate v. -14, -4, -3 Supp...
{ "pile_set_name": "DM Mathematics" }
+ j + 2) to u*j + s and give u. -924 Express 9*w**2 - 64*w**2 - 5 + 44*w**2 + 14*w**2 - 13*w as k + v*w + f*w**2 and give f. 3 Express -204 - 192 - 201 + 36702*o + 597 in the form q + x*o and give x. 36702 Express (-4569*h - 6641*h - 9451*h + 1306*h)*(2*h**2 - 3*h**2 - h**2) as z*h**3 + x*h + k*h**2 + p and give z. 387...
{ "pile_set_name": "DM Mathematics" }
*2 + 5 wrt n. 51258*n + 52*s**2 Differentiate 41*f**3*s - 13377*f**3 + 13*f**2*s - 6 wrt s. 41*f**3 + 13*f**2 Find the second derivative of -1280232*b**4 - 111729*b wrt b. -15362784*b**2 Differentiate -2*p**2 - 44359*p + 85261. -4*p - 44359 Find the third derivative of 1178939*n**3*u**3 + 4905*n**3 - 24*n*u**2 + 1 wrt ...
{ "pile_set_name": "DM Mathematics" }
ivided by -96? -893 -406086 divided by -7662 53 0 divided by -137849 0 Calculate -233009 divided by 1. -233009 Calculate 0 divided by 9514. 0 Divide -756695 by 151339. -5 What is 7949780 divided by 5? 1589956 Calculate 11595 divided by -3865. -3 24174 divided by 24174 1 Divide -10 by 13044. -5/6522 Calculate -438 divid...
{ "pile_set_name": "DM Mathematics" }
. Suppose 15 = -5*l - v. Calculate c(l). -11 Let i(p) = -p**2 - p + 7. Suppose 9*d = 4*d. Calculate i(d). 7 Let a(v) = -2*v**3 + 4*v**2 - 4*v + 2. Let n = -12 + 14. Determine a(n). -6 Suppose 0 = 5*y + 4*p - 20, y - 5*p + 25 + 0 = 0. Let h = 9 - 4. Suppose y = -6*d + d + h. Let r(m) = 2*m. Give r(d). 2 Suppose 10*x + 5...
{ "pile_set_name": "DM Mathematics" }
+ 4*r - 38*r**2. Give f(i(m)). -114*m**2 Let a(r) = -3*r. Let g(z) be the third derivative of z**4/12 - 12*z**2. What is g(a(o))? -6*o Let b(q) = -4*q + 6. Let y(d) = -d + 1. Let n(x) = b(x) - 6*y(x). Let o(l) = -l**2. Calculate o(n(f)). -4*f**2 Let y(o) = 2. Let i(g) = -g - 4. Let q(u) = 3*i(u) + 6*y(u). Let l(d) = 7...
{ "pile_set_name": "DM Mathematics" }
4). -15 Let u(q) = -100*q**2 - 8044*q + 4556. Determine u(-81). 20 Let l(z) = -18*z**3 + 72*z**2 + 63*z - 8. Calculate l(-1). 19 Let s(x) = -851*x - 171877. Determine s(-202). 25 Let b(j) = -j**3 - 406*j**2 + 437*j + 11544. Give b(-407). -666 Let w(f) = -2762*f**2 + 1088*f - 1086. Give w(1). -2760 Let j(m) = 42554*m - ...
{ "pile_set_name": "DM Mathematics" }
10 = -4*k, -2*g - k = -3*g + 8. Suppose 0 = g*s - 15 - 6. Suppose 3*u - 54 = s*y, -6 = -u + 4*y - 3. Solve l + 4*j = 24, -l + u = l + 3*j for l. 4 Let i(r) = -r**3 + 14*r**2 + 2*r - 30. Let s be i(14). Let d be (-16)/(-2)*6*s/(-4). Solve 4*z - l + 3*l = 24, 3*z + 3*l = d for z. 4 Let c be -11 + 4 + 20 - 10. Solve -c = ...
{ "pile_set_name": "DM Mathematics" }
1104303 to the nearest 1000000. 1000000 What is -9558.476 rounded to the nearest 10? -9560 What is 273194.7 rounded to the nearest one hundred thousand? 300000 Round 40.858164 to zero dps. 41 What is -355286.5 rounded to the nearest ten thousand? -360000 Round -0.2398247 to 3 dps. -0.24 Round -3078.0021 to the nearest...
{ "pile_set_name": "DM Mathematics" }
8 for f. 1 Solve -5*a + 3*f - 1 = 0, 14*f + 35 = 2*a - 3 for a. -2 Solve -77*o + 79*o - 48 = -4*h, 72 = 6*h - 2*o for h. 12 Solve 5*t + 3*m + 510 = 507, 3*m = 2*t - 24 for t. 3 Solve 160*v - 9 = 4*d + 155*v, 0 = 4*v - 20 for d. 4 Solve -4*x + 26 = -j, -40*j + 2*x + 24 = -21*j for j. 2 Solve 4 = -4*g - 68*f + 66*f, -g =...
{ "pile_set_name": "DM Mathematics" }
ng k is positive. k**(236945/276) Simplify ((w*w**0*w)**(1/2)/(w**3/w*w**(-1)))**(-6/11) assuming w is positive. 1 Simplify ((n**(-3)/n*n)/n)/n**1*((n*n**(-1/3))/n)/(n*n*n**(1/4))*(n/n**0*n*(n*(n*n**(1/11))/n)/n)/(n**(3/8)/n*n**(-1/7)) assuming n is positive. n**(-8731/1848) Simplify ((d/(d**(2/7)/d*d))/(d/(d*d**(-2/9)...
{ "pile_set_name": "DM Mathematics" }
What is the fourth biggest value in -1016, 6, -34/9, -0.4, -1/2? -34/9 Which is the third smallest value? (a) -0.2 (b) -3 (c) -11 (d) -2 (e) 0.02 d Which is the second biggest value? (a) -3/98 (b) -0.4 (c) 55 (d) 1/2 d Which is the third smallest value? (a) 204 (b) 2/9 (c) -4/3 (d) -1/3 b What is the fifth...
{ "pile_set_name": "DM Mathematics" }
atest common divisor of 14 and x. 2 Let u = 2 + -12. Let b be (1 - -4)*4/u. Let r be b/11 - (-266)/11. What is the greatest common factor of r and 6? 6 Suppose -221 + 51 = -2*h. Suppose 3*s - 110 = h. Suppose -w - 3*q = -14, 4*w - 3*q + 2*q = 108. Calculate the highest common divisor of s and w. 13 Suppose -z = 3*z. Le...
{ "pile_set_name": "DM Mathematics" }
Let q(z) = 221*z. What is -2*j(c) - 7*q(c)? -233*c + 2 Let g(k) = -18*k**2 - 24*k. Let s(w) = 9*w**2 + 11*w. Calculate -6*g(u) - 13*s(u). -9*u**2 + u Let x(n) = 8*n - 5. Let f(t) = -3*t + 2. Let v(s) = -2*s. Let r(y) = 2*f(y) - 4*v(y). Let c be r(1). Let d(u) = 15*u - 9. Calculate c*d(z) - 11*x(z). 2*z + 1 Let n(c) = -...
{ "pile_set_name": "DM Mathematics" }
ctors of f(0). 5, 19 Suppose 0 = -19*h + 6094 - 736. List the prime factors of h. 2, 3, 47 Suppose -815 = -14*i - 17. What are the prime factors of i? 3, 19 Let a(v) = -22*v**3 - v**2 - 3*v - 2. List the prime factors of a(-1). 2, 11 Let d(f) = 2*f**2 + 7*f + 6. Let c be d(-5). Suppose 4*i + 3*g - 4*g - c = 0, 5 = -5*g...
{ "pile_set_name": "DM Mathematics" }
ounded to 6 dps? 0.000002 Let u = 0.14 - -21.86. Let t = -610357.99981 + 610380. Let c = u - t. What is c rounded to five dps? -0.00019 Let w = 171.7 + -171.697856. What is w rounded to 4 dps? 0.0021 Let p = -3199 + 3201.694. Let y = -2.36 + p. What is y rounded to two dps? 0.33 Let p = -0.203 + 0.94. Round p to 1 deci...
{ "pile_set_name": "DM Mathematics" }
gnvmvtv? 1/42 Four letters picked without replacement from qqqpqqdqdpkwwpp. Give prob of sequence wdkw. 1/8190 Calculate prob of sequence qtv when three letters picked without replacement from tqthqdv. 2/105 Two letters picked without replacement from {v: 7, l: 9}. What is prob of sequence ll? 3/10 Two letters picked ...
{ "pile_set_name": "DM Mathematics" }
. What is prob of picking 3 e? 3/14 What is prob of picking 2 f when two letters picked without replacement from xgefxrrxxxxrrkxfr? 1/136 What is prob of picking 1 g, 1 v, and 1 t when three letters picked without replacement from vtvvvtg? 8/35 Calculate prob of picking 3 g when three letters picked without replacement...
{ "pile_set_name": "DM Mathematics" }
34 What is the f'th term of 148, 157, 166, 175, 184, 193? 9*f + 139 What is the q'th term of 265, 260, 253, 244, 233, 220? -q**2 - 2*q + 268 What is the f'th term of 16, 21, 32, 49, 72, 101, 136? 3*f**2 - 4*f + 17 What is the j'th term of 137, 1028, 3429, 8096, 15785, 27252, 43253, 64544? 126*j**3 - j**2 + 12*j What is...
{ "pile_set_name": "DM Mathematics" }
*sqrt(7) + 2809 Simplify -3 + (sqrt(133)/(sqrt(567)*-4) + 3)**2 + 1. -sqrt(19)/6 + 9091/1296 Simplify (1 + sqrt(637) + (sqrt(637) - -6*(1 + sqrt(637))))**2 - (4 + 3 + (sqrt(637) - (0 + sqrt(637))))**2. 784*sqrt(13) + 40768 Simplify (2 + 3*(sqrt(500) + -1)*2)**2. -480*sqrt(5) + 18016 Simplify (sqrt(66)/(sqrt(6) + sqrt(6...
{ "pile_set_name": "DM Mathematics" }
he ten thousands digit of 662679? 6 What is the ten thousands digit of 544114? 4 What is the ten thousands digit of 18438959? 3 What is the hundreds digit of 3490098? 0 What is the ten thousands digit of 1163847? 6 What is the ten thousands digit of 1298686? 9 What is the ten thousands digit of 128696? 2 What is the te...
{ "pile_set_name": "DM Mathematics" }
98)? -1/2 What is ((-20)/(-6))/(1*(27/9)/(-18))? -20 Evaluate ((-9)/(-285))/(((-46)/(-230))/((-2)/2)). -3/19 What is the value of (-6)/(-21)*((-13230)/(-585))/(-42)? -2/13 Calculate 1/14*-3*(-23)/(460/35). 3/8 What is the value of (16/24)/(((30/(-12))/(-5))/(-3))? -4 What is the value of 168/189*(-180)/(-40)? 4 What is...
{ "pile_set_name": "DM Mathematics" }