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087 + 22.2913. Let r = i + -22. Sort -1, r, -0.01 in descending order. r, -0.01, -1 Let n = -10 + 4. Suppose -2*u + r + 6 = 0, -2*u + 5*u + 3*r = -9. Put -5, n, u in ascending order. n, -5, u Let r = 35.7 - 36. Let a = 0.93 - 1. Let k = a + -0.03. Put -1, k, r in decreasing order. k, r, -1 Let p be 6 + -6 - 1*4. Let a ...
{ "pile_set_name": "DM Mathematics" }
c)*(6 + 0 - 4)) to k*c + n + t*c**2 and give t. -441 Express 2719 - 2*m**3 - 1230 - 1046 - 2*m as o*m**3 + b*m + z + l*m**2 and give o. -2 Express (-1 + 1 + l)*(-l - 2*l + 5*l) + 0 + 0 + 3*l**2 + 2 - 2 + 2*l**2 + 21*l**2 + 669*l + 16*l**2 - 39*l**2 as h*l + t + p*l**2 and give h. 669 Rearrange 3*z**3 + 1 + 9*z - 47*z +...
{ "pile_set_name": "DM Mathematics" }
t p = -603/1358 + 3/194. What is the smallest value in -0.2, p, h? p Let f = 2.87 + 0.13. Which is the biggest value? (a) -3/5 (b) 2/15 (c) f c Let m = -1100098/5607 + -40/1869. Let k = m - -196. Which is the third biggest value? (a) 1/3 (b) k (c) 4 b Let j be (-3 + 1)/12*-2. Let o = -32446 + 290941/9. Let g = -1...
{ "pile_set_name": "DM Mathematics" }
5*s + 775 = -2*z. Suppose -s = -5*y + 6138. Is y a prime number? True Let n be (6 - 3) + 2 + 0. Suppose n*s + 18396 = 4*o, -4*s + 3*o = o + 14712. Is (-9)/(-21) + s/(-14) a composite number? False Suppose -3 = -5*v + 7. Suppose -5*c + 5490 = -7*d + 2*d, 0 = v*c + 4*d - 2208. Suppose 4*y - k = 2342, -5*y - 2*k + 1834 = ...
{ "pile_set_name": "DM Mathematics" }
698, -19048, -25398? -6350*k + 2 What is the h'th term of -22, -94, -218, -394? -26*h**2 + 6*h - 2 What is the s'th term of 72, 594, 2026, 4824, 9444, 16342, 25974, 38796? 76*s**3 - s**2 - 7*s + 4 What is the z'th term of 2082, 2083, 2084, 2085, 2086? z + 2081 What is the w'th term of 3, -1, -7, -15, -25, -37? -w**2 - ...
{ "pile_set_name": "DM Mathematics" }
m(t). -4*t**2 Let c(q) be the first derivative of 3*q**5/25 - 10. Factor c(k). 3*k**4/5 Solve -2/5*c**2 - 2/5*c**4 + 0*c + 0 - 4/5*c**3 = 0 for c. -1, 0 Suppose -2*z = -6*z + 8. Let -1 + 1 + 2*o**3 + z*o**2 = 0. What is o? -1, 0 Let g(q) be the first derivative of -2*q**5/55 + q**4/22 + 3. Solve g(d) = 0. 0, 1 Factor -...
{ "pile_set_name": "DM Mathematics" }
+ w - 56476. Determine f*s(d) + 3*j(d). -4*d - 2 Let u(p) = -69*p**2 - 172*p + 12. Let k(x) = 67*x**2 + 170*x - 8. What is 3*k(s) + 2*u(s)? 63*s**2 + 166*s Let c(b) = -b**2 - 2. Let w(h) = 3*h**2 + 392*h + 11. Calculate 5*c(k) + w(k). -2*k**2 + 392*k + 1 Let s(t) = 42*t - 9. Suppose 28*o + 17*o + 308 = o. Let n(f) = -2...
{ "pile_set_name": "DM Mathematics" }
ment from peeeffehpt? 1/180 Four letters picked without replacement from {t: 13, h: 3}. What is prob of sequence httt? 33/280 What is prob of sequence veg when three letters picked without replacement from veeegegge? 5/168 What is prob of sequence jqj when three letters picked without replacement from jqfqjjjqfjqj? 1/1...
{ "pile_set_name": "DM Mathematics" }
What is x in -5*x**4/4 - 995*x**3/4 - 495*x**2/2 = 0? -198, -1, 0 Factor 2*g**3/7 - 10*g**2/7 - 8*g/7 + 40/7. 2*(g - 5)*(g - 2)*(g + 2)/7 Factor 3*b**4 - 21*b**3 - 30*b**2 + 48*b. 3*b*(b - 8)*(b - 1)*(b + 2) Factor 4*s**2 - 36*s. 4*s*(s - 9) Determine x, given that -2*x**4/3 - 140*x**3/3 + 286*x**2/3 - 48*x = 0. -72, 0...
{ "pile_set_name": "DM Mathematics" }
0.3, t, -1? t Let p(d) = -9 + 0*d**3 + d**3 - 13*d - 13*d**2 - 6. Let y be p(14). What is the closest to 1 in 1, y, 1/7? 1 Let h = -0.4 - -0.4. Let y(z) = -z**2 - 2*z + 47. Let a be y(-8). What is the closest to a in 3, h, -0.1? -0.1 Let w = -0.52 + 0.02. Let r = -0.2 - w. What is the closest to -1 in -0.1, 4/5, r? -0...
{ "pile_set_name": "DM Mathematics" }
- 3. Let f be q(5). Let z(h) = h - 9. Let u be z(f). What is the closest to 0.1 in u, 5, 4? u Let l = -55 - -58. Which is the nearest to -4? (a) -0.4 (b) -3 (c) l b Let x = 0.3 + 2.3. Let w = x - 3. Let m = 0.2 + w. Which is the closest to -1? (a) 3 (b) 4 (c) m c Let f be (-9 + -1)*12/30. Let k = 0 + 0.4. Which ...
{ "pile_set_name": "DM Mathematics" }
Let r(z) = -14*z**2. Let b(h) be the second derivative of h**3/6 - 2*h**2 + 28*h + 7. Calculate b(r(f)). -14*f**2 - 4 Let h(l) = -4*l**2. Let v(i) = -1 + 1 + 30280*i**2 - 30538*i**2. Calculate v(h(g)). -4128*g**4 Let i(y) be the second derivative of -13*y**3/6 + 3*y**2/2 + y. Let j(m) be the second derivative of m**3/3...
{ "pile_set_name": "DM Mathematics" }
) -5 (c) -2/15 (d) 0.4 (e) -2 a What is the fourth biggest value in -7.3, 1/2, -4, -0.1, 0? -4 Which is the third biggest value? (a) 1/3 (b) 2 (c) -330 c Which is the second smallest value? (a) 1/4 (b) 29 (c) 2/5 c Which is the smallest value? (a) -2/19 (b) 6 (c) -1 (d) -3/7 c Which is the smallest value? ...
{ "pile_set_name": "DM Mathematics" }
r(2). Let u be (1 + 10/(-2))/1. Sort s, 1, u in decreasing order. 1, s, u Let p = 681/40 - 129/8. Let f = 12/5 - p. Sort 2/19, 0.2, f, 2/69 in descending order. f, 0.2, 2/19, 2/69 Suppose -4*j - 23 = 9. Let k be j/(-18) - 6/(-27). Let b = 9.827 - 5.827. Sort k, b, -5. -5, k, b Suppose 12 = 2*o - 2*m, -4*o - 5*m = -2*o ...
{ "pile_set_name": "DM Mathematics" }
. Is l >= o? False Let n(j) = j**3 - 15*j**2 + 871 + 0*j**3 - 3*j - 850. Let a be n(15). Which is greater: -23 or a? -23 Let h(z) = -z**2 + 6*z + 1. Suppose -2*n = n - 18. Let r be h(n). Suppose 5*y = -3*d - 18, 4*d - 9 = 4*y - r. Is 1/18 < d? False Let q = 0.187 - -0.113. Is q greater than or equal to -40? True Let r ...
{ "pile_set_name": "DM Mathematics" }
is the third root of 535431829 to the nearest integer? 812 What is 1427183731 to the power of 1/5, to the nearest integer? 68 What is 821812760 to the power of 1/5, to the nearest integer? 61 What is 4062254 to the power of 1/3, to the nearest integer? 160 What is the fifth root of 2798417311 to the nearest integer? 78...
{ "pile_set_name": "DM Mathematics" }
-700.229 + 700. Let i = k - -0.219. Which is bigger: -46 or i? i Let b be (-4)/(-10) + -76*81/90. Is 21 greater than or equal to b? True Let r be (0 + -1)*(-5)/35 - 32/28. Is r equal to -86/95? False Suppose -2*m + 2*t + 0 + 18 = 0, -5*m - 5*t = 5. Let k = -128099/11 - -11649. Which is smaller: k or m? k Let m = -188....
{ "pile_set_name": "DM Mathematics" }
ided by d(11). 20 Suppose -12*l - 969 = -29*l. What is the remainder when l is divided by 30? 27 Let j be (-16)/4*-1 + -2. Suppose -6 = -3*c + 2*d - 4*d, -10 = -5*c + j*d. Suppose 2*q = -r - c*r + 16, r = 2. What is the remainder when q is divided by 3? 2 Suppose 0 = -2*z - 78 + 26. Let n = z + 31. What is the remainde...
{ "pile_set_name": "DM Mathematics" }
(17) Simplify (-6*(sqrt(136) + -4*sqrt(136)))/(sqrt(32)/sqrt(4)*-3)*-1. 6*sqrt(17) Simplify 4 + (sqrt(6)*1)/sqrt(3) + sqrt(6050) + 4*sqrt(6050). 4 + 276*sqrt(2) Simplify (sqrt(72)/(sqrt(12)/sqrt(4)) + (sqrt(24) + (sqrt(96) - sqrt(24)))*5)/(5*-1*sqrt(1452)). -sqrt(2)/5 Simplify (((1*(sqrt(68) + sqrt(68)*-2) - sqrt(68))*...
{ "pile_set_name": "DM Mathematics" }
68.28538 months? 0.22357115 How many micrograms are there in six fifths of a milligram? 1200 How many micrograms are there in 3.95913 milligrams? 3959.13 What is 6/5 of a milligram in micrograms? 1200 Convert 5.660119l to millilitres. 5660.119 What is sixty-one quarters of a century in months? 18300 How many micrometer...
{ "pile_set_name": "DM Mathematics" }
the common denominator of 69/55 and -49/80. 880 What is the common denominator of 173/30 and -29/18? 90 Calculate the common denominator of -99/2 and -85/754. 754 What is the smallest common multiple of 3594 and 2396? 7188 Calculate the lowest common multiple of 1079 and 611. 50713 What is the least common multiple of...
{ "pile_set_name": "DM Mathematics" }
3 + p = 0. What is the third smallest value in 1/5, 0.5, n? 0.5 Let l = -0.1 + -0.2. What is the second biggest value in l, 0, -3/7? l Let w = -0.03 - 0.27. Let i = 225/2 - 1133/10. What is the third biggest value in w, 0.3, i? i Suppose 0 = -3*b + 7*b - 2*y, -5*y = -4*b - 12. Let j = b + -1. Suppose -t = -2*t - 5, 3*n...
{ "pile_set_name": "DM Mathematics" }
the power of 1/2, to the nearest integer? 391 What is the square root of 12479 to the nearest integer? 112 What is the square root of 2422 to the nearest integer? 49 What is the ninth root of 636 to the nearest integer? 2 What is 28446 to the power of 1/2, to the nearest integer? 169 What is 761 to the power of 1/10, t...
{ "pile_set_name": "DM Mathematics" }
ase 14, what is -4 + 1a3700? 1a36da In base 11, what is -32876 - 749? -33514 In base 10, what is 1295 + -55143? -53848 In base 9, what is 13 + 250051? 250064 In base 13, what is 3c03 + -192a3? -153a0 In base 10, what is 2 - 4078217? -4078215 In base 10, what is 18300 + -2589? 15711 In base 6, what is -3 + 11120251? 111...
{ "pile_set_name": "DM Mathematics" }
3 - 34*j**2 + 3*j - 1. Let n(q) = 14*b(q) + 3*t(q). Determine n(1). -23 Let r = 21 + 6. Suppose 6 = r*u - 24*u. Let v be (-2)/2*(u - 3). Let p(h) = -4*h**3 + 2*h**2 - 1. Give p(v). -3 Let o = -70 - -84. Suppose -10 = -6*h + o. Let z(j) = j - 3. Give z(h). 1 Let a = -12706 - -12723. Let q(s) = -s**3 + 19*s**2 - 33*s - 2...
{ "pile_set_name": "DM Mathematics" }
**(-319/114) Simplify (t*t*t**(-5/4)*t)**(-34) assuming t is positive. t**(-119/2) Simplify ((n/n**(2/5))/n**(-2/11))**(-30) assuming n is positive. n**(-258/11) Simplify (q/q**(-8))/q**9*q**(-1/12)/(q/(q**(3/8)/q)) assuming q is positive. q**(-41/24) Simplify s/(s/(s/(s*s**(-3/14)*s*s)*s))*s**(1/36) assuming s is posi...
{ "pile_set_name": "DM Mathematics" }
of a litre in millilitres? 10400 What is 4/3 of a minute in milliseconds? 80000 What is 27/2 of a day in minutes? 19440 What is 0.1121884t in nanograms? 112188400000000 What is 40652.5 millennia in months? 487830000 How many micrometers are there in thirty-three fifths of a millimeter? 6600 How many millilitres are th...
{ "pile_set_name": "DM Mathematics" }
tors of 9382096. 2, 17, 2029 What are the prime factors of 313986? 2, 3, 43, 1217 What are the prime factors of 389039? 7, 149, 373 List the prime factors of 1210386. 2, 3, 201731 List the prime factors of 884949. 3, 13, 22691 List the prime factors of 482890. 2, 5, 43, 1123 List the prime factors of 4942126. 2, 7, 223...
{ "pile_set_name": "DM Mathematics" }
iple of 17? True Does 87 divide 533? False Is 62608 a multiple of 104? True Does 9 divide 475? False Is 58 a factor of 2262? True Does 50 divide 550? True Is 3422 a multiple of 118? True Is 5 a factor of 2955? True Is 8810 a multiple of 10? True Is 14997 a multiple of 9? False Is 16 a factor of 279? False Is 13 a facto...
{ "pile_set_name": "DM Mathematics" }
+ 8*k**3/3 + 16*k**2/3 + 16*k/3 - 71. Suppose l(z) = 0. Calculate z. -2 Suppose -4*k = -10*g + 7*g + 205, 100 = g + 5*k. Find y, given that 159*y**2 - 594*y**2 + 1 - 27 + 312*y - 34 + g*y**3 = 0. 2/5, 5 Suppose 0 = 12*f - 3*n - 66, 23*n - 22*n = -2*f + 2. Factor -1/3*y**f + 4/3*y - y**2 - 4/3*y**3 + 4/3. -(y - 1)*(y + ...
{ "pile_set_name": "DM Mathematics" }
2/13? -2/7 Which is the smallest value? (a) 0.5 (b) 2/43 (c) -2/11 (d) -5 d Which is the third smallest value? (a) -0.1 (b) -2.14 (c) -4 a What is the fourth biggest value in 0, 3, 705, -1/2? -1/2 What is the biggest value in -0.1, 81, 0.2? 81 Which is the third biggest value? (a) 421 (b) 4 (c) -0.4 (d) 0.5 ...
{ "pile_set_name": "DM Mathematics" }
t t = 2522906734/895 - h. Let q = -1/179 + t. Which is smaller: -15 or q? -15 Let m(r) = 2*r - 374. Let q(j) = -j + 125. Let h(b) = -6*m(b) - 17*q(b). Let i be h(-19). Is 24 equal to i? True Let r(i) = i**2 + 45*i - 121. Let x be r(-14). Is -1669/3 bigger than x? False Let h(x) = -x**3 + 12*x**2 + 302*x - 5. Let l be h...
{ "pile_set_name": "DM Mathematics" }
-2). Round q to the nearest 10. -80 Let z = 10745 + -10744.5001. What is z rounded to one decimal place? 0.5 Suppose -6*n + 9 = -27. Let o be 6125*(n/(-4))/((-10)/20). Suppose 36795 = 2*y - s, -2*y - 5*s = -3*y + o. Round y to the nearest 1000. 18000 Let b = 0.47152 - 0.4036. Round b to two decimal places. 0.07 Suppos...
{ "pile_set_name": "DM Mathematics" }
sqrt(1008)/sqrt(4)). -3*sqrt(2)/2 Simplify (-5*(4 + (sqrt(108) - (-2*sqrt(108) + 5)) + -4*(sqrt(108) + 0)*2))**2*-2. -135050 - 3000*sqrt(3) Simplify (2*1*sqrt(637)*3)**2 - ((sqrt(832)*4)/sqrt(4) + 3). -16*sqrt(13) + 22929 Simplify (4*(-2*sqrt(114)*1 + sqrt(114) - -3*(sqrt(114) + sqrt(114)*2)))/((sqrt(24) + (2*sqrt(144)...
{ "pile_set_name": "DM Mathematics" }
Express (-7*n + 3*n + 22*n)*(-2*n**2 + 2*n**2 + 3*n**3) + 5 - 2*n**4 - 5 in the form v*n**4 + q*n**3 + k + c*n + l*n**2 and give k. 0 Express 8*o + o + 6 + 3*o - 6*o as b*o + m and give b. 6 Express -8*w**2 + w - 2*w**4 + 0*w**3 - 3*w**3 + 9*w**2 + 6 in the form r*w + c + j*w**4 + n*w**2 + v*w**3 and give n. 1 Rearrang...
{ "pile_set_name": "DM Mathematics" }
x = 0.158 - -0.012. Let h = x - 0.07. Sort h, r, 0.2, -4 in descending order. r, 0.2, h, -4 Let m = 892 - 889. Let v = 0.3 + -0.2. Let w = 0.212 + -0.712. Put m, w, v, -0.2 in ascending order. w, -0.2, v, m Let c(j) = 4*j. Let i be c(-3). Let m(u) = -u**2 + 25*u + 6165. Let t be m(-67). Put t, -2, i in decreasing order...
{ "pile_set_name": "DM Mathematics" }
What is next in 132213, 528848, 1189905, 2115384, 3305285, 4759608? 6478353 What comes next: -2176, -4356, -6536? -8716 What is next in 2827338, 5654674, 8482010? 11309346 What is the next term in -194450, -194451, -194452, -194453? -194454 What comes next: -14, 61, 130, 193, 250? 301 What comes next: 14844035, 1484403...
{ "pile_set_name": "DM Mathematics" }
-200012221112100 (base 3) in base 9? -20187470 123224200 (base 5) to base 11 381161 3afee8 (base 16) to base 9 7242557 558357 (base 9) to base 10 334177 Convert -ce9a8 (base 15) to base 9. -1211125 -2240001344 (base 5) to base 4 -103010300200 11158c (base 13) to base 8 1423104 22002020002021 (base 3) to base 6 2320214...
{ "pile_set_name": "DM Mathematics" }
y + 28 Find the second derivative of -2642989*p**4 + 2*p**2 + 3985896*p wrt p. -31715868*p**2 + 4 Find the second derivative of -275874*u**3 + 644110*u wrt u. -1655244*u What is the third derivative of -98464*s**6 + 149*s**2 + 127? -11815680*s**3 Find the second derivative of 7589*b**3*j - 4*b**2 - 2958*b*j + 18*b + 2*...
{ "pile_set_name": "DM Mathematics" }
-2). Suppose -29*r + 23*r = 168. Let g = r + v. List the prime factors of g. 2, 11 Let d = -5 - -7. Suppose 0 = d*j + 5 + 3. What are the prime factors of (2/j)/(6/(-636))? 53 Let z be 395/35 + (-2)/7. Suppose -3*d - 5 = -h - 2*d, 0 = 2*h - d - z. Suppose h*n - n - 50 = 0. What are the prime factors of n? 2, 5 Let r = ...
{ "pile_set_name": "DM Mathematics" }
/3) -14/11 Calculate (115 + 93644/(-820))/((-4)/210). -42 Calculate ((-28792)/(-183) - 153) + (-346)/84. 3/14 Evaluate (-100)/3 - (-13482)/5778. -31 What is ((-2)/28 - 429/1386) + 2/21? -2/7 (141/(-144) - (-42)/63)*2*(-13)/65 1/8 What is the value of (1728/1008)/((-9)/567) - -27? -81 Evaluate (-1 - -5)/((-31146)/(-609)...
{ "pile_set_name": "DM Mathematics" }
1. 5010729 Calculate the common denominator of -93/31922 and 59/2051714. 22568854 What is the smallest common multiple of 42975 and 63370935? 316854675 What is the common denominator of -97/40157910 and 47/310? 1244895210 Find the common denominator of 85/72559368 and -115/108839052. 217678104 Calculate the least commo...
{ "pile_set_name": "DM Mathematics" }
ne f(j(y)). -18250*y**2 - 273 Let l(d) = -26*d. Let p(b) = 19*b - 31*b + 13*b. Let z(i) = -3*l(i) - 42*p(i). Let n(v) be the first derivative of -v**2/2 + 51. What is n(z(w))? -36*w Let m(v) = 44*v**2. Let s(x) = 99*x + 4. Let r(l) = -4080*l - 165. Let j(f) = 4*r(f) + 165*s(f). Calculate m(j(c)). 9900*c**2 Let q(t) be ...
{ "pile_set_name": "DM Mathematics" }
9) + 3. Suppose 3*y + w*b - 86 = 110, -b = -4. What is the highest common factor of y and 15? 15 Suppose 37*j = 22971 + 6407. What is the highest common divisor of 6 and j? 2 Suppose -61*t = -64*t + 90. Calculate the greatest common divisor of 186 and t. 6 Suppose -5*r + 1255 = 2*j - 5034, 3*j = -9*r + 9426. Calculate ...
{ "pile_set_name": "DM Mathematics" }
9*w + 12*w + 28*w = -15*w - 1332 for w. -18 Solve 109*t + 1164*t - 54462 = -9907 for t. 35 Solve 509*x + 64857 = -1154*x for x. -39 Solve 327*o + 1445*o = -53160 for o. -30 Solve 7750 = -143*f - 3332 + 4309 - 6240 for f. -91 Solve -1420*y + 13264 = 3324 for y. 7 Solve -190 - 131 + 185 - 68 = 12*p for p. -17 Solve 33*t ...
{ "pile_set_name": "DM Mathematics" }
rt(3)*-5). -23*sqrt(11)/5 + 45 Simplify 5 + 1*(sqrt(2057) + (-1 + sqrt(2057))*-4)**2 + ((sqrt(2057) + 1)*1 - (2 + (sqrt(2057) - (sqrt(2057)*1 + sqrt(2057)))))**2 + 4. -308*sqrt(17) + 26767 Simplify (sqrt(2200)*3 + sqrt(22))/sqrt(11)*1 + (sqrt(900)/sqrt(2))/((sqrt(99) - -2*sqrt(99))/sqrt(11)). 98*sqrt(2)/3 Simplify (((s...
{ "pile_set_name": "DM Mathematics" }
+ 6/10 + -1? -33 Calculate ((-45)/(-72)*6)/((-165)/(-66)). 3/2 What is (4140/(-960)*4)/(-1 + (-10)/(-8))? -69 What is ((-420)/336 - (-637)/420)*6/(-4)? -2/5 (724771/1611 - 444)/(-1 - (-10)/9) 53 Evaluate (8/((-704)/276))/((-2871)/(-63162)). -69 Evaluate 12 + 20/15*72 + (-11 - 9). 88 Evaluate ((-4158)/(-38610))/(7/150)....
{ "pile_set_name": "DM Mathematics" }
(r) = r. Let n = 21 + -35. Let a(q) = n*b(q) + 2*y(q). Determine a(t(p)). -4*p Let n(o) = o. Let c(a) = a + 147. Determine n(c(w)). w + 147 Let o(u) = 24019*u**2. Let a(v) = 2*v**2. Give a(o(x)). 1153824722*x**4 Let n(h) = -23*h**2. Let j(l) = -6*l + 5. Let p(w) = 5*w - 4. Let m(o) = -4*j(o) - 5*p(o). What is n(m(y))? ...
{ "pile_set_name": "DM Mathematics" }
nder when 134 is divided by 35? 29 Calculate the remainder when 250 is divided by 16. 10 What is the remainder when 193 is divided by 10? 3 What is the remainder when 85 is divided by 11? 8 What is the remainder when 318 is divided by 30? 18 What is the remainder when 561 is divided by 9? 3 Calculate the remainder when...
{ "pile_set_name": "DM Mathematics" }
cond derivative of -3*d**5 - 1241531*d**2 - 2924191*d wrt d? -60*d**3 - 2483062 What is the third derivative of 101293635*k**4 + 1454273*k**2 + 164 wrt k? 2431047240*k Find the third derivative of -2*b**3*q**2*y - 29733695*b**3*q*y**3 + 53*b**2*q**2*y**3 - 2*b**2*q**2*y - 9*b**2*q*y**2 - 46*b*q**2*y**2 - 34*q*y wrt b. ...
{ "pile_set_name": "DM Mathematics" }
Let t(c) = c**3 - c**2 - 4*c. Calculate t(2). -4 Let w(b) = -11*b**3 - 1. Determine w(1). -12 Let h(r) = -r**3 - 19*r**2 - 19*r - 17. What is h(-18)? 1 Let v(k) = k**3 - 16*k**2 - 16*k - 12. What is v(17)? 5 Let m(x) = -x**3 + 24*x**2 + x - 26. What is m(24)? -2 Let z(d) = -d**3 + 2*d - 10. Calculate z(0). -10 Let l(j...
{ "pile_set_name": "DM Mathematics" }
? -2/15 What is the value of (360/(-16380))/((-2)/(-13))? -1/7 What is 1/(-15) - ((-8648)/(-780) - (-6 + 17))? -2/13 Evaluate (-8 - 30/(-4))*22. -11 37/5 - (315/675)/((-7)/(-6)) 7 Calculate (-60)/36*(-27)/5. 9 What is the value of (-36 - -16 - -21)*-1*7? -7 What is 12 - 245*(-15)/(-105)? -23 Calculate (441/(-8))/(-3) -...
{ "pile_set_name": "DM Mathematics" }
uming k is positive. k**(-1591/29) Simplify ((h**(-1/3)*h)/h)**47/(h**2*h*h*h**(-1/3))*(h**0*h*h*h*h/((h*h**4*h)/h))**0 assuming h is positive. h**(-58/3) Simplify ((x**6/x)/(x*(x/(x*x**(-2/11)/x))/x))**(7/4)*((x*x*x**2*x)/((x*x/x**1)/x))/(x**(1/2)/((x*x/x**(1/5)*x*x)/x)) assuming x is positive. x**(769/55) Simplify ((...
{ "pile_set_name": "DM Mathematics" }
u. -116*u**2 Collect the terms in 1047027*q**3 + 722*q**2 - 722*q**2 - 36 - 1047031*q**3. -4*q**3 - 36 Collect the terms in -157*u**2 - 153*u**2 - 8 + 17 + 608*u**2 - 155*u**2 - 148*u**2. -5*u**2 + 9 Collect the terms in 6772 - 6772 + 221235*f. 221235*f Collect the terms in -614589160948 + 614589160948 + 3*g**3. 3*g**3...
{ "pile_set_name": "DM Mathematics" }
-21 Let j(s) = 3*s**3 - 7*s**2 + 8. Let a(v) = -4*v**3 + 8*v**2 - v - 9. Let z be (-2 + 5)/(-3) - -3. Let q(y) = z*a(y) + 3*j(y). Determine q(5). -4 Let v be 6/(2 - -1 - 1). Suppose 0 = -w + v*s + 15, -w = -7*s + 3*s - 19. Suppose 1 = -2*c + w. Let d(r) = 8*r**2 + r - 1. Determine d(c). 8 Let j(p) = -24 - 12 + 3*p**2 ...
{ "pile_set_name": "DM Mathematics" }
) = 6*s + 3. Calculate c*r(a) + 5*o(a). 2*a - 1 Let r = 2 + 2. Suppose -d = 2*d + u - 7, -5*u - 41 = -r*d. Let t(f) = -f**3 + f - 1. Let k(x) = 3*x**3 - 3*x + 4. Give d*t(a) + k(a). -a**3 + a Let k(q) = -8*q**2 + 5*q - 6. Let l be 1*-1*88/(-8). Let g(p) = -3*p**2 + 2*p - 2. Determine l*g(z) - 4*k(z). -z**2 + 2*z + 2 Le...
{ "pile_set_name": "DM Mathematics" }
t of 284 to the nearest integer? 2 What is 5656 to the power of 1/2, to the nearest integer? 75 What is 56645 to the power of 1/4, to the nearest integer? 15 What is 3386 to the power of 1/3, to the nearest integer? 15 What is 681 to the power of 1/6, to the nearest integer? 3 What is 23499 to the power of 1/9, to the ...
{ "pile_set_name": "DM Mathematics" }
l(k) = 7*k - 2. Calculate -11*l(v) - 4*x(v). 3*v + 2 Let n(j) = j**3 + 3*j. Let f(v) be the second derivative of v - 1/10*v**5 + 0*v**2 + 0*v**4 - 2/3*v**3 + 0. Let d = -3 - 0. Determine d*f(r) - 4*n(r). 2*r**3 Let c(q) be the first derivative of 4*q + 4*q**2 + 5 - 1/3*q**3. Let i(g) = 2*g**2 - 17*g - 9. Give -13*c(l) ...
{ "pile_set_name": "DM Mathematics" }
0. Let n(w) = 2*w**2 - 2*w - 4. Let z(m) = 5*n(m) - 2*q(m). Determine z(p(r)). -11552*r**2 - 608*r - 8 Let b(r) be the third derivative of 5*r**4/24 + r**2. Let t(n) = 6*n**2 + 3378 - 2*n**2 - n**2 - 3378. What is b(t(a))? 15*a**2 Let u(f) = 8*f**2 + 28*f**2 + 27*f**2 - 59*f**2. Let k(g) = 51*g**2. Give k(u(z)). 816*z*...
{ "pile_set_name": "DM Mathematics" }
j = -1.8 + o. Let y = -0.3 - j. Which is the nearest to -0.2? (a) y (b) 2 (c) 4 a Let k = 5 - 10. Let f = -4 - k. Which is the nearest to 0.1? (a) 1/5 (b) -0.2 (c) f a Let y = -2.2 + 1.7. Which is the closest to 1? (a) y (b) 2 (c) 1 c Let m = -1 - -0.8. Suppose -2*h = -17 - 13. Suppose h = g - 6*g. What is th...
{ "pile_set_name": "DM Mathematics" }
0, 303, 192? -2*m**2 - 85*m + 885 What is the d'th term of -86586, -173170, -259754, -346338, -432922, -519506? -86584*d - 2 What is the j'th term of -15743, -15731, -15719, -15707? 12*j - 15755 What is the z'th term of -37284, -74617, -111954, -149295, -186640? -2*z**2 - 37327*z + 45 What is the u'th term of 3087, 621...
{ "pile_set_name": "DM Mathematics" }
s the lowest common multiple of ((-45)/6 - -3)*j and 2? 18 Let t(l) be the second derivative of l**5/20 - 2*l**4/3 - 4*l**3/3 + 6*l**2 - 17*l. Calculate the least common multiple of 18 and t(9). 126 Calculate the common denominator of (0 + (-15)/6)*(-5537)/(-1225) and 43/830. 830 Let a be (-8)/44 - ((-1566)/22)/1. Supp...
{ "pile_set_name": "DM Mathematics" }
Differentiate 3*f**4 - 3027985*f + 19293561. 12*f**3 - 3027985 Find the third derivative of 3420*z**4 + 760*z**3 + z**2 - 5297748*z + 2. 82080*z + 4560 Find the third derivative of -50116*f**5*u - 11*f**3*u**2 - 369*f**2*u**2 + 1124*f**2 + f*u**2 + u**2 wrt f. -3006960*f**2*u - 66*u**2 What is the second derivative of...
{ "pile_set_name": "DM Mathematics" }
3420 What is the common denominator of -35/6 and -2/7? 42 Calculate the common denominator of 50/201 and 83/1206. 1206 Calculate the lowest common multiple of 114 and 48. 912 Calculate the lowest common multiple of 28 and 7. 28 What is the lowest common multiple of 12 and 248? 744 Calculate the smallest common multiple...
{ "pile_set_name": "DM Mathematics" }
3 Suppose 0 = -5*h - 0*f - 5*f + 380, -4*h + 259 = -5*f. Suppose 5*o = h + 139. What is the tens digit of o? 4 Suppose -1302 = -v - 865. What is the units digit of v? 7 Suppose -a = -u + 3*u - 518, -3*a = 5*u - 1558. What is the hundreds digit of a? 5 Let v = -20 + 30. Suppose w - 3*w + v = 0. What is the tens digit o...
{ "pile_set_name": "DM Mathematics" }
= -229*l**2 - 43*l - 24. Let m(b) = b**2 - 3*b - 2. Let y(o) = a(o) - 12*m(o). Let w(k) = 2*k**2. Calculate y(w(g)). -964*g**4 - 14*g**2 Let v(a) = a**2 + 12. Let o(t) = -837*t + 417*t + 434*t. Give v(o(u)). 196*u**2 + 12 Let z(b) = -13*b**2 + 9*b**2 - 2*b - 3*b + 8*b**2. Let q(u) = 3*u**2 - 4*u. Let d(o) = 5*q(o) - 4...
{ "pile_set_name": "DM Mathematics" }
he nearest 10000. -100000 What is 0.773375 rounded to two dps? 0.77 Round 782.674 to the nearest 1000. 1000 Round -0.0002259832 to five dps. -0.00023 What is 0.00000071482 rounded to six dps? 0.000001 Round -0.01170668 to four decimal places. -0.0117 What is -10589167 rounded to the nearest one hundred thousand? -10600...
{ "pile_set_name": "DM Mathematics" }
*q and give p. -135 Express (192*s + 125*s + 154*s)*(s**2 - 4*s**2 - 4*s**2) - s + 2*s**3 - s**2 + s**2 in the form f*s + u*s**3 + p*s**2 + o and give f. -1 Rearrange (-173*h - 168*h + 8 + 328*h)*(-h + 0*h - h) to i*h**2 + y + z*h and give z. -16 Express (22*c + 4*c**2 - 22*c)*(-10*c**2 - 23 + 2*c**2 + 9*c**2) in the f...
{ "pile_set_name": "DM Mathematics" }
in the form h + c*g and give c. -12 Express 28*g**2 + 154*g - 310*g + 2 + 156*g in the form q + c*g**2 + b*g and give c. 28 Rearrange -3*p**4 + 3*p - p + 588*p**3 - 585*p**3 + 6 to the form z*p**2 + m*p + c*p**4 + t*p**3 + o and give t. 3 Rearrange 64*o - 10 + 2*o**2 - 64*o to the form j + a*o + h*o**2 and give a. 0 Ex...
{ "pile_set_name": "DM Mathematics" }
t integer? 83 What is the cube root of 19110 to the nearest integer? 27 What is the fourth root of 948 to the nearest integer? 6 What is the cube root of 3544 to the nearest integer? 15 What is the square root of 321 to the nearest integer? 18 What is 2544 to the power of 1/2, to the nearest integer? 50 What is the six...
{ "pile_set_name": "DM Mathematics" }
*6 - i**2 + 170*i - 2. -64920*i**3 What is the third derivative of -73*z**4 + z**3 - 659*z**2 wrt z? -1752*z + 6 What is the second derivative of 55*i**2*n - i*n - 11*i - 2*n wrt i? 110*n What is the third derivative of -f**2*s**3*x + 4*f**2 - f*s**3*x + 35*f*s**2*x + 18*s**3*x + 2*x wrt s? -6*f**2*x - 6*f*x + 108*x Wh...
{ "pile_set_name": "DM Mathematics" }
2 Determine k, given that -2*k**2/5 - 44352*k - 2439118/5 = 0. -110869, -11 Suppose -3*p**2 + 2232*p - 134244 = 0. Calculate p. 66, 678 Determine z, given that -997983363*z**3 + 2002313898*z**2 - 12704436*z + 20184 = 0. 58/18239, 2 Determine h, given that 4*h**4 - 18164*h**3 + 15131588*h**2 + 30317684*h + 15167928 = 0....
{ "pile_set_name": "DM Mathematics" }
se 29*k + 2*u + 8046 = 32*k, -2*k = 3*u - 5351. Let p = -1118 + k. What is the smallest common multiple of 12 and p? 9372 Let i be (10/4 + -2)*12/3. Let a be (-12)/9*6 + i. Calculate the common denominator of 79/18 and a + (-5)/(-30) + (-6)/(-10). 90 Let b = 816 - 771. Suppose -60*o = -55*o - 175. Calculate the smalles...
{ "pile_set_name": "DM Mathematics" }
/r) assuming r is positive. r**(13877/350) Simplify (o**(-8/7))**49/(o*o**(5/7)*o*o)**(1/17) assuming o is positive. o**(-6690/119) Simplify ((t*t/(t/t**(-25)))/(t/(t/((t*t*t**(14/5)*t)/t))))**(1/13) assuming t is positive. t**(-144/65) Simplify (x**(-1))**(-17)/((x*x**(-4/3)/x)/x*x*x/(x/x**(-1/12))) assuming x is posi...
{ "pile_set_name": "DM Mathematics" }
s? -0.004 Let c = 310.699 - 0.799. Round c to the nearest 100. 300 Let x = 15.958 - 16. Let t = x - -0.06. Let d = -0.0180004 + t. Round d to 6 dps. 0 Let n = -11.36 - 459.64. Let p = n + 473.11. Let x = -2.109887 + p. Round x to five decimal places. 0.00011 Let o = -12.6 - -12.549. Let v = 0.061 + o. Let f = 1.19 - v....
{ "pile_set_name": "DM Mathematics" }
he common denominator of -17/4 and -65/7552. 7552 Calculate the common denominator of -83/840 and -61/383264. 5748960 Calculate the lowest common multiple of 17150 and 21756. 3807300 What is the smallest common multiple of 19625 and 541650? 2708250 Calculate the common denominator of 113/6636 and 71/22120. 66360 What i...
{ "pile_set_name": "DM Mathematics" }
d 1 q when two letters picked without replacement from qjtns. 1/10 Two letters picked without replacement from {a: 5, z: 8}. What is prob of picking 2 a? 5/39 Calculate prob of picking 1 f and 3 k when four letters picked without replacement from jjkjkjjjfjjkjjfjj. 1/1190 Calculate prob of picking 1 u, 1 c, and 1 e whe...
{ "pile_set_name": "DM Mathematics" }
*h - 7 = -z. Suppose m - 4*m + 1 = -v, h*m + 1 = 3*v. Solve 0 = v*j - 0 - 10 for j. 5 Let f(z) = -23*z + 1344. Let k be f(58). Solve 6*h - h = k for h. 2 Let g(x) = 1. Let y(i) = i - 1. Let a(j) = 3*g(j) + 2*y(j). Let s be a(1). Suppose 79*f - 67*f - 84 = 0. Solve 5*w + f = -s for w. -2 Let q be (3/2)/(12/40). Suppose ...
{ "pile_set_name": "DM Mathematics" }
i: 2, w: 1, b: 5}. Give prob of picking 1 w, 1 b, and 2 r. 1/476 What is prob of picking 1 g, 2 i, and 1 h when four letters picked without replacement from {x: 7, i: 3, h: 1, g: 3}? 9/1001 What is prob of picking 1 j, 1 h, and 2 u when four letters picked without replacement from huuuuhjjujhujjujuj? 49/255 Calculate ...
{ "pile_set_name": "DM Mathematics" }
. Round p to zero decimal places. 12 Let t = 0.661511104 + -0.6614. Round t to six decimal places. 0.000111 Suppose 0 = -5*c + 3*s + 19, 3*s + 7 = c - 2*c. Suppose -8*r - 18 = -c. Round r to the nearest ten. 0 Let x = 191240578.96029 - 191239368. Let d = -1210.29 + x. Let h = 0.67 - d. Round h to four decimal places. -...
{ "pile_set_name": "DM Mathematics" }
, 0.3? -3 Which is the nearest to 0.1? (a) -0.02 (b) 2/7 (c) 5 a Which is the closest to 1? (a) 4 (b) 1/2 (c) -0.1 (d) -1 b Which is the closest to 2/23? (a) 4 (b) 1/2 (c) 5/6 b Which is the closest to 1/4? (a) -4 (b) 7 (c) 1/4 (d) 3/2 c Which is the closest to 0.2? (a) 1 (b) 5 (c) -4 (d) 2 a What is ...
{ "pile_set_name": "DM Mathematics" }
f v and 2. 1 Let u be -8*(1 + 15/(-6)). Let s be 4/u + (-114)/(-9). Suppose 49*a = 73*a - 4056. Calculate the greatest common divisor of a and s. 13 Let i = -39 - -61. Suppose -14*q = -i*q + 32. What is the highest common factor of q and 6? 2 Let d(y) = -y**2 + 6*y + 23. Let v(n) = -n**2 - 3*n + 18. Let m be v(-5). Let...
{ "pile_set_name": "DM Mathematics" }
(a) 99.85 (b) -5 (c) 60 (d) -0.2 (e) -0.9 b Which is the fifth biggest value? (a) -4 (b) 921 (c) 1 (d) -7/2 (e) -8 e What is the fourth smallest value in -5/84, 3.4, 8, 2/15, 0.4, -5? 0.4 What is the second smallest value in -0.175, 0.406, 10, -12/7? -0.175 Which is the second biggest value? (a) 542 (b) 3/8...
{ "pile_set_name": "DM Mathematics" }
Let y(o) = 17 - 21 - 2*o + 3*o + 13. Let l be y(-5). What is the units digit of b(l)? 7 Let u(m) = -8*m - 52. Let w be u(12). Let z = -67 - w. Suppose 11*t = 961 - z. What is the tens digit of t? 8 Let c = 17000 + -10394. What is the tens digit of c? 0 Let i be -305*2/(-4)*10. Let x = i + -954. What is the hundreds dig...
{ "pile_set_name": "DM Mathematics" }
22 + -11? 10222001111 In base 3, what is -10210221 - 211212? -11122210 In base 14, what is 18ab - 1? 18aa In base 3, what is 110010010001210 + 10? 110010010001220 In base 13, what is 3 - -16b8? 16bb In base 11, what is 40 + 7761? 77a1 In base 2, what is 1011 + 1100010010010010? 1100010010011101 In base 6, what is -5022...
{ "pile_set_name": "DM Mathematics" }
t o, 1, 5, r in increasing order. o, 1, r, 5 Suppose -2*s + 3*s = 0. Let q be (-1 - s)*5/(-5). Suppose g + 11 = 14. Sort -4, q, -5, g. -5, -4, q, g Let r = 14 + -13.5. Let k be (7/(-21))/((15/(-3))/(-10)). Sort -4, r, 2/45, k in ascending order. -4, k, 2/45, r Let s be -1 + -2 + (-44)/(-16). Let a = -224 - -449/2. Put ...
{ "pile_set_name": "DM Mathematics" }
value in 2, -1, h? -1 Let f = 58.03 + -59. Let a = 0.03 - f. Let w be (-3 - 0)*2/(-9). What is the second smallest value in w, a, 0? w Let f = 87/230 + 1/46. What is the biggest value in f, -0.5, -3? f Let o be 75/21 + 4/(-7). Which is the biggest value? (a) -2/7 (b) -0.2 (c) o c Let h = 4.9 + -5.9. Let u = 1 - 3. ...
{ "pile_set_name": "DM Mathematics" }
fferentiate -5*f**3*l**2*w**2 + 976*f**3*l**2 - 536*f**3*w**2 - 18*f*w**2 with respect to l. -10*f**3*l*w**2 + 1952*f**3*l What is the third derivative of -3799*p**3*y - p**2*y - 86*p*y + 2*y + 2 wrt p? -22794*y What is the derivative of 21*h**3 + 26*h**2*i**2*k**2 + 873*i**2*k**2 wrt h? 63*h**2 + 52*h*i**2*k**2 Find t...
{ "pile_set_name": "DM Mathematics" }
et g be s(4). Let t = g - -9. What is the lowest common multiple of t and (4/6)/((-2)/(-66))? 176 Let i be 3 + -3 + (-2)/38. Let x be (-205)/190*4/13. Let y = i + x. Find the common denominator of y and -20/11. 143 Let y = 17204 + -11726. Suppose -5*k - y = -2*k. Let r = k + 20101/11. What is the common denominator of ...
{ "pile_set_name": "DM Mathematics" }
0.717494 and -3.8. -3.082506 What is the distance between -205.9 and -0.08826? 205.81174 -121+97226.92 97105.92 What is -182 plus -1625073? -1625255 -1.2496 + 1.50417 0.25457 0.087 - -518701628 518701628.087 35249422 - -36 35249458 Calculate 544 + 1255.57162. 1799.57162 Add together -5 and 5381751913. 5381751908 Total...
{ "pile_set_name": "DM Mathematics" }
. Let z(g) = -g. What is z(b(f))? 6*f**2 + 10*f Let x(q) = -q. Let d(b) = 482*b + 481*b + 1 + 4 - 959*b. Determine d(x(z)). -4*z + 5 Let t(y) = -4*y + 1004. Let m(x) = -43 + 93*x**2 - 42*x**2 + 43 - 49*x**2. Determine m(t(a)). 32*a**2 - 16064*a + 2016032 Let k(b) = 1 - 1 - 92*b**2 + 46*b**2 + 45*b**2. Let z(n) be the s...
{ "pile_set_name": "DM Mathematics" }
ivided by (-59)/(-3) - (-2)/u. 18 Suppose 5*i = -h + 28, -7*i - 5*h = -3*i - 35. Let p = -3 - -10. What is the remainder when p is divided by i? 2 Calculate the remainder when 71 is divided by (11 - 8)*8*1. 23 Suppose 0*x = -4*x + 488. Calculate the remainder when x is divided by 31. 29 Let g(b) = 5*b - 8. Calculate th...
{ "pile_set_name": "DM Mathematics" }
a be ((-3)/(-2))/(6/20). Let c be (-1 + (-2 - -1))*-2. Suppose -a = -c*v + 23. What is the units digit of v? 7 Suppose -9*h = -4*h - 100. Suppose -b + 5*f = 8, -h = 5*f - 5. What is the units digit of b/(-2) - 1/(-2)? 2 Suppose 0 = -2*z - 3*z + 4*l - 38, 4*l = 3*z + 26. Let w be (z/(-10))/(4/20). Suppose 4 = 4*i + 3*x,...
{ "pile_set_name": "DM Mathematics" }
. -f**3 - 255 Let w(t) = 9*t**3 - 16*t**2 - 2*t - 10. Let l(j) = -18*j**3 + 35*j**2 + 4*j + 22. Give -6*l(a) - 13*w(a). -9*a**3 - 2*a**2 + 2*a - 2 Let p(q) = -122*q**2 + 42*q - 5. Let h(z) = -83*z**2 + 30*z - 3. Determine -8*h(k) + 5*p(k). 54*k**2 - 30*k - 1 Let x(b) = 38*b + 10. Let a(r) be the third derivative of -13...
{ "pile_set_name": "DM Mathematics" }
ive d. 196 Rearrange -52*k - 187 + 99*k - 199 - 45*k to the form d*k + s and give s. -386 Express -3264 + 3264 + 119*r**2 in the form p + b*r**2 + u*r and give b. 119 Rearrange (3*q - 3*q + q**2)*(-39 - 55 - 33 - 4) to c*q**2 + d + g*q and give d. 0 Rearrange 44*n**3 - 452 + 452 + 3*n**3 - 4*n**3 + 4*n**3 + (-5*n**2 - ...
{ "pile_set_name": "DM Mathematics" }
-357*f**5 Expand (-20779*d**2 + 11998*d**2 + 10947*d**2)*(-d + 3*d - 3*d). -2166*d**3 Expand (0 + 0 + 1)*(-170*r + 70*r + 180*r)*(-5 - 15 + 9 - 34 - 35). -6400*r Expand (-95*n - 2 + 370*n + 71*n)*(-2*n**3 + 1 + 17*n - 17*n). -692*n**4 + 4*n**3 + 346*n - 2 Expand (76 + 29*j + 77 - 150)*(-6*j**3 + j**3 + 2*j**3 + (-j + 3...
{ "pile_set_name": "DM Mathematics" }
6. Let n be (0 - 0)/(2 + -1). Suppose 2*j - 18 = -2*z, -2*j + 9 + 1 = n. Calculate the highest common factor of z and c. 4 Let u = -14625 + 14629. Calculate the greatest common factor of u and 11588. 4 Suppose -14*d = -9*d + 2*s - 24, -s - 27 = -4*d. Calculate the greatest common divisor of d and 2526. 6 Suppose 0 = 3*...
{ "pile_set_name": "DM Mathematics" }
y - -317. Calculate the greatest common factor of 59 and w. 59 Suppose 51*q - 399*q + 323180 = -62*q. What is the greatest common factor of 430 and q? 10 Let z(m) = 416*m - 176. Let a be z(1). What is the greatest common divisor of 1040 and a? 80 Suppose -76*h + 27354 - 14310 = -21840. Calculate the greatest common fac...
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from ttkkkiitktiikt. 200/1001 What is prob of picking 2 f when two letters picked without replacement from {f: 2, d: 11, k: 7}? 1/190 What is prob of picking 1 j and 1 p when two letters picked without replacement from {p: 2, t: 1, j: 1, f: 2}? 2/15 What is prob of picking 1 u, 1 t, and 1 ...
{ "pile_set_name": "DM Mathematics" }
lect the terms in 20 - 13 - y**2 - y**2. -2*y**2 + 7 Collect the terms in 0*u - 20*u**2 - 31*u**2 + 3*u - 2*u. -51*u**2 + u Collect the terms in -5*z**2 - 14*z**2 + 21*z**2. 2*z**2 Collect the terms in 4*i - 23 + 4 + 9. 4*i - 10 Collect the terms in 53*b**3 - 92*b**3 + 41*b**3. 2*b**3 Collect the terms in -3 - 3 + 6 - ...
{ "pile_set_name": "DM Mathematics" }