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0. What is g(123)? -94 Let q(u) = -21*u**2 - 961*u - 146. Determine q(-46). -376 Let v(l) = -16418*l - 98449. What is v(-6)? 59 Let b(a) = a**2 - 1018*a + 244698. Determine b(389). 17 Let o(h) = h**2 + 335*h + 19700. Calculate o(-259). 16 Let v(j) = -54969*j - 604665. Determine v(-11). -6 Let w(h) = 2942*h + 21600. Wha...
{ "pile_set_name": "DM Mathematics" }
h biggest value in -3, 20933, 4, -0.02, 9, 1/2, 5? 4 What is the second smallest value in 20.1, 2/25, 0.4, 2, -2.9, -5? -2.9 What is the fifth biggest value in 7, -4, 2, 0, 480, 0.03, -42? 0 What is the third biggest value in 325/4, 0.4, -1/2, 18171, -0.3, -2/5? 0.4 Which is the third smallest value? (a) 5 (b) -1 (c...
{ "pile_set_name": "DM Mathematics" }
is prob of sequence wgg? 3/56 Calculate prob of sequence yl when two letters picked without replacement from wpwwyypypppyppwfyyll. 3/95 Three letters picked without replacement from eiijjivwwijjie. Give prob of sequence jvw. 1/273 Three letters picked without replacement from dqkdkdfgdgffdfd. Give prob of sequence qkf....
{ "pile_set_name": "DM Mathematics" }
, b Let a be (-10)/66 - 8/44. Sort -2/7, 1/178, a in descending order. 1/178, -2/7, a Let g = 137/1144 - -3/88. Let j = 5.07 - 0.07. Put g, j, 8 in decreasing order. 8, j, g Suppose 2*v + 3*v = 10. Suppose v*b + 5*g = -28, -5*b = -2*b - g + 8. Put -3, 27, b in increasing order. b, -3, 27 Let i be -1 - (1 + -1) - -10. S...
{ "pile_set_name": "DM Mathematics" }
mon divisor of z and j? 8 Suppose 5*b = -0*d - 2*d + 56, -b - 2 = 0. Let q = 27 - 16. Let y be (-1 + -2 - -3) + q. Calculate the greatest common divisor of d and y. 11 Suppose 12*d - 539 = 5*d. Let l(i) = -i**3 - 7*i**2 + 17*i - 8. Let j be l(-9). Let q = j - -6. What is the highest common factor of q and d? 7 Let o be...
{ "pile_set_name": "DM Mathematics" }
- -3) + -7 + 6. 5 What is (9 - 0) + (1 - 3) + -5? 2 What is the value of -6 + 7 + (-1 - -1)? 1 Calculate 3 + -2 + 0 + (4 - 8). -3 Calculate 1 + -2 + (12 - 7) - 3. 1 -10 + 8 - (-2 + 0 + 5) -5 What is the value of (-4 + 1 - 2) + 10 - 10? -5 Calculate -25 - (-23 + 1) - (1 + 7). -11 0 - (5 - (7 + 1)) 3 Evaluate -3 + 11 + ...
{ "pile_set_name": "DM Mathematics" }
= 2*c**2. Let h(q) be the first derivative of -97*q**3 + 2080. What is v(h(t))? 169362*t**4 Let u(p) = -241684*p + 3. Let w(j) = -2*j. Determine u(w(l)). 483368*l + 3 Let p(k) = -5*k**2. Let v(l) = -10471582*l + 1. Calculate v(p(u)). 52357910*u**2 + 1 Let l(h) = 9 + 15 - 2*h - 42 + 18. Let a(q) = -445*q. Give l(a(v)). ...
{ "pile_set_name": "DM Mathematics" }
3. Do y and 5 have the same value? True Let q be ((-36)/(-90))/((-2)/(-13)). Let j = -3 + q. Which is greater: 1/5 or j? 1/5 Suppose 3*h - 15 = 8*h - 3*v, 0 = -4*v + 20. Suppose 2*x = -x - 3*w + 6, 5*x + 2*w - 7 = 0. Which is bigger: x or h? x Suppose 24 = -2*f + 26. Which is smaller: 2/191 or f? 2/191 Let z = -0.026 ...
{ "pile_set_name": "DM Mathematics" }
3 in ascending order. -26, a, 3 Let q = -5 + 8. Let c = -119 + 116. Let o = q + c. Sort o, -0.5, -1 in descending order. o, -0.5, -1 Suppose 0 = -4*b - 16, -2*b = -h - b + 8. Let y be (56/(-35))/(h/10). Put 3, 1, y in decreasing order. 3, 1, y Suppose 0 = -15*x + 75 - 30. Put 5, 44, x, 2 in ascending order. 2, x, 5, 44...
{ "pile_set_name": "DM Mathematics" }
0153201 a prime number? True Is 385095319 a composite number? True Is 3084797 a composite number? False Is 1858369 a prime number? True Is 17368279 prime? True Is 122264903 composite? True Is 7457737 prime? False Is 10376419 composite? False Is 2041519 a composite number? False Is 27207199 a prime number? True Is 20543...
{ "pile_set_name": "DM Mathematics" }
u be ((-6)/8)/((-1)/4). Let p(h) = h**2 + 9*h - 313. Let k be p(-23). Suppose k*x = -269 + 287. Solve 0 = u*o - x*o + 1 for o. -1 Let d be (479/5)/(312/546 + 39/(-105)). Solve -12 = -d*y + 481*y for y. -6 Suppose -p - 1021 = -5*i + 913, -4*i + 1544 = -4*p. Suppose 10*q - 123 = i. Suppose -56*l = -q*l. Solve l = -3*v - ...
{ "pile_set_name": "DM Mathematics" }
Rearrange (-h**3 - h**3 + 4*h**3)*(-4 - 6 - 7 + 27) to k*h**2 + o*h**3 + y + s*h and give k. 0 Express -3*l + 4*l**4 + l**3 - 2 - 2*l + 3*l + 1 as y*l**4 + m + t*l**3 + p*l + r*l**2 and give y. 4 Rearrange -18*f**2 + 2*f**2 - 8 + 6*f**2 + 9*f**2 to m*f**2 + b + o*f and give m. -1 Rearrange 0*d**2 + 1 - 22*d**2 - 9*d**2...
{ "pile_set_name": "DM Mathematics" }
ng order. 356, 4, 2, 1, -8 Put 0.3, -5/6, 3.826 in descending order. 3.826, 0.3, -5/6 Sort 5, 43, 254 in ascending order. 5, 43, 254 Sort 47, 2, 38, -4. -4, 2, 38, 47 Sort 2, -1, -4, 4, -122, -1426. -1426, -122, -4, -1, 2, 4 Put 0, -1565, 15, 5, -5 in decreasing order. 15, 5, 0, -5, -1565 Sort -109, 0, -20, 4, 2, 5 in ...
{ "pile_set_name": "DM Mathematics" }
s the square root of 13958694 to the nearest integer? 3736 What is 154821823 to the power of 1/2, to the nearest integer? 12443 What is the cube root of 346428647 to the nearest integer? 702 What is the square root of 904739042 to the nearest integer? 30079 What is the sixth root of 2817554178 to the nearest integer? 3...
{ "pile_set_name": "DM Mathematics" }
m. Is m a prime number? False Let o be (-36)/(-30)*(1 - -5034). Suppose 5*i = 2*s + i - o, 4*s - 2*i = 12078. Is s composite? False Let s = -22 + 47. Suppose s = 5*h - 5. Suppose -h*o = -4*o - 4*d - 338, 803 = 5*o + 4*d. Is o composite? False Let d = -7499 + 21340. Is d a composite number? False Let j = 33150 + -17591....
{ "pile_set_name": "DM Mathematics" }
ative of 11 + k*s - 3*s**2 - 2*s - 5. What is v(n(m))? -108*m**2 Let f(x) = 22*x. Let h(m) = m - 1. Let q(g) = 7*g - 8. Let u(v) = -40*h(v) + 5*q(v). Calculate f(u(c)). -110*c Let d(a) = 6*a**2 + 4*a + 1. Let i(l) be the second derivative of l**3/6 - 2142*l. Determine i(d(s)). 6*s**2 + 4*s + 1 Let k be 2*(-11)/((-154)/...
{ "pile_set_name": "DM Mathematics" }
divide 18325? True Is 146116 a multiple of 2? True Does 237 divide 273498? True Is 136 a factor of 164968? True Is 8 a factor of 812363? False Is 13 a factor of 75303? False Does 583 divide 3354582? True Does 48 divide 187393? False Does 14 divide 107895? False Is 3 a factor of 1279731? True Is 118 a factor of 408988?...
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when b is divided by z. 21 Suppose 0 = -3*d + 4*p + 1936, 0*d + 2*p - 1930 = -3*d. Suppose -3*s - 11*s = -d. Calculate the remainder when s is divided by 24. 22 Calculate the remainder when 35 is divided by (1 - 1272/(-108)) + 2/9. 9 Suppose 0 = -2*j + 4*j - 52. Let o = 221 + -119. Calculate the...
{ "pile_set_name": "DM Mathematics" }
hich is the closest to -2/1135? (a) 5/3 (b) -0.15 (c) -0.3 b Which is the closest to -14.6? (a) -0.05 (b) -1/2 (c) -3/2 (d) 0 c What is the closest to 0.1 in 0.3, -10999, -0.3? 0.3 What is the closest to -2 in 5, 2/97, -1/2, -5, -6? -1/2 Which is the nearest to 1/4? (a) 0.04 (b) -2/3 (c) 2/13 (d) -9 c Which ...
{ "pile_set_name": "DM Mathematics" }
116. Let i be l(29). Suppose 0*k + 0 - 2/5*k**4 + 4/5*k**3 + i*k**2 = 0. Calculate k. 0, 2 Let y = 1578/7 - 4717/21. Let t = 8/7 - y. Find u such that -4/3 - t*u**2 - 4/3*u = 0. -2 Let g(w) be the third derivative of -w**5/15 + 7*w**2. Factor g(y). -4*y**2 Let g = 18/503 - 5416/123235. Let w = 20/49 + g. Find h such t...
{ "pile_set_name": "DM Mathematics" }
-7? 5 Let r(s) = 2*s**2 + s - 1. What is the remainder when 49 is divided by r(-3)? 7 Suppose 7*p - 2*p = 10. Suppose 6*v - p*v = 28. What is the remainder when 25 is divided by v? 4 Suppose 4*w - 205 = -3*m, -95 = -2*w - 2*m - m. Calculate the remainder when 109 is divided by w. 54 Suppose -3*a + 136 = 832. What is t...
{ "pile_set_name": "DM Mathematics" }
hgqd? 1/330 Four letters picked without replacement from {f: 2, w: 3, b: 6, m: 2, a: 1}. What is prob of sequence mfam? 1/6006 What is prob of sequence kxk when three letters picked without replacement from {x: 5, k: 11}? 55/336 Two letters picked without replacement from {p: 1, x: 2, c: 1, u: 1, d: 1, b: 1}. Give pro...
{ "pile_set_name": "DM Mathematics" }
vided by k. 11 Suppose 3*d - 5*j - 32 = 0, -4*j - 10 = -d + 10. What is the remainder when d/(-10) - (-92)/5 is divided by 5? 3 Let l(u) be the first derivative of -2 + 0*u + 0*u**3 + 17/2*u**4 + 1/2*u**2. What is the remainder when l(1) is divided by 18? 17 Let w = 52 + -28. Calculate the remainder when w is divided b...
{ "pile_set_name": "DM Mathematics" }
.3 d Which is the second biggest value? (a) -5 (b) 0.2 (c) -4 (d) 54 (e) 4 e What is the smallest value in 3/4, -0.5, -1.1, 0.4, -7? -7 Which is the second biggest value? (a) -53 (b) -0.4 (c) -0.5 (d) 0.3 (e) -5 b Which is the fourth biggest value? (a) 11 (b) -2/19 (c) 5 (d) 1 (e) 33 d Which is the fourt...
{ "pile_set_name": "DM Mathematics" }
rime factors of 6407. 43, 149 What are the prime factors of 96? 2, 3 What are the prime factors of 986? 2, 17, 29 List the prime factors of 42618. 2, 3, 7103 What are the prime factors of 18306? 2, 3, 113 List the prime factors of 881. 881 List the prime factors of 22783. 22783 What are the prime factors of 262? 2, 131...
{ "pile_set_name": "DM Mathematics" }
isor of f and 27? 9 Suppose 0 = 3*d - 3*y - 9 + 3, -4*y + 8 = 0. Suppose 5*w + 25 = 0, 3*w - 6*w = 5*u. Suppose -u*a - d = -4*a. Calculate the highest common factor of a and 2. 2 Let t(l) be the first derivative of l**3/3 - 9*l**2/2 - 15*l - 5. Suppose 5*g = 55 - 85. Let k be t(g). Calculate the highest common factor o...
{ "pile_set_name": "DM Mathematics" }
ms in tonnes? 0.0000000003965147 How many days are there in 256923.21 hours? 10705.13375 How many nanoseconds are there in 0.2392145 days? 20668132800000 What is 1666.84ml in litres? 1.66684 Convert 1.32553cm to meters. 0.0132553 What is 681803.9 litres in millilitres? 681803900 How many grams are there in twenty-one q...
{ "pile_set_name": "DM Mathematics" }
? (a) -1 (b) 5 (c) -2.4 (d) z d Let z(a) = -a**3 - 88*a**2 + 7*a + 620. Let l be z(-88). What is the fourth biggest value in 7, -4/3, 1/30, -1, l? -1 Let l = -76 - -80.09. Let q = l - 3.89. Which is the third smallest value? (a) -1 (b) 3 (c) q b Let r(l) = 50*l - 8. Let d be r(1). Let p be -4 - (d/7)/(-3). Suppo...
{ "pile_set_name": "DM Mathematics" }
prob of picking 1 e and 1 l? 28/57 What is prob of picking 1 j, 1 d, and 1 w when three letters picked without replacement from {d: 4, b: 1, g: 9, j: 4, w: 1}? 16/969 Four letters picked without replacement from {o: 3, s: 3, c: 9, n: 1, y: 1, t: 2}. Give prob of picking 1 o, 1 y, and 2 t. 1/1292 Calculate prob of pick...
{ "pile_set_name": "DM Mathematics" }
ect the terms in -1233*o - o**2 - 3*o**2 + 615*o + 620*o. -4*o**2 + 2*o Collect the terms in u**3 - 44934891*u**2 + 44934891*u**2. u**3 Collect the terms in -51*y**3 - y**3 + 182*y - 182*y + 2*y**3. -50*y**3 Collect the terms in 118*i**3 + 1445 - 1445. 118*i**3 Collect the terms in 1 + 5467167238*s - 1 - 5467167240*s. ...
{ "pile_set_name": "DM Mathematics" }
472. (s - 92)*(s - 4)**2 Factor 4*n**4 + 236*n**3 + 232*n**2. 4*n**2*(n + 1)*(n + 58) Factor 10*v**2 + 154*v/3 + 20/3. 2*(v + 5)*(15*v + 2)/3 Factor -s**5 + 12*s**4 + 43*s**3 + 30*s**2. -s**2*(s - 15)*(s + 1)*(s + 2) Let 5*b**3 - 45*b**2 + 70*b = 0. Calculate b. 0, 2, 7 Solve -4*t**3/5 - 12*t**2 - 152*t/5 - 96/5 = 0. -...
{ "pile_set_name": "DM Mathematics" }
2*u**2 + 3*l**2 - 9*l + 2*u**2 - u wrt l. -24*l**2*u**2 - 2*u**2 + 6 What is the third derivative of -1832*b**2*o**3 - 16*b**2*o**2 + 2*o**2 + 2 wrt o? -10992*b**2 What is the third derivative of s**3*y**4 + 2*s**3*y**2 + s**2*y**2 + 133*s**2 - 163*y**4 wrt y? 24*s**3*y - 3912*y What is the second derivative of 2388*g*...
{ "pile_set_name": "DM Mathematics" }
343 prime? False Is 419129057 prime? True Is 142860469 a composite number? True Is 490142 composite? True Is 40735067 a composite number? False Is 206174617 a prime number? False Is 49824731 composite? True Is 8545967 a prime number? True Is 24149179 a composite number? False Is 36722251 a prime number? True Is 5370137...
{ "pile_set_name": "DM Mathematics" }
-8920, -112, 12218, 28070, 47444, 70340? 96758 What is next in -1947049433, -1947049431, -1947049429? -1947049427 What comes next: -10773237, -10773235, -10773233, -10773231? -10773229 What comes next: 850229, 850199, 850149, 850079, 849989, 849879, 849749? 849599 What is the next term in 117348416, 234696832, 3520452...
{ "pile_set_name": "DM Mathematics" }
o, 4*r = 0 for j. 5 Let b(j) = -330*j - 1648. Let o be b(-5). Solve 0 = 5*d - 6*y + 10*y - 29, -2 = -o*y for d. 5 Let f = 331 + -327. Suppose -f = -d + 25*s - 23*s, 5*s = 4*d - 13. Solve 0 = 2*l - 6*x + 2*x + 16, -2*l - 2*x = -d for l. -2 Let p = 90 - -32. Let g = -164 + p. Let y be -1 + (-30)/g + (-60)/(-14). Solve 4*...
{ "pile_set_name": "DM Mathematics" }
Let n(r) = 2*r**2 + 1. Let d(y) = -1 - 2 + 0 + 2 + y. Let c be d(2). Give n(c). 3 Let z(a) = -a**2 - 3*a + 4. Let o be z(-4). Suppose -b + 4*b - 9 = o. Let p(j) = 0*j - 4 + 3*j - 2*j. What is p(b)? -1 Let w(g) = -g - 3. Let z(s) = 1. Let k(r) = -3*w(r) - 15*z(r). Let o(b) = -b + 0*b - 6 - 6 + 2. Let a be o(-14). Calcu...
{ "pile_set_name": "DM Mathematics" }
What is 2*-1*18032/5152? -7 112*(-35)/(-3360)*1/((-21)/60) -10/3 ((-611)/(-65)*-5)/(1/1) -47 110/(-10)*11*(-30)/(-66) -55 (5646/22584)/(1/1) 1/4 Evaluate 9/((-1710)/(-95))*96. 48 What is 4/((736/12)/(-23)*(-3)/180)? 90 What is the value of (328/(-6))/((-4)/6)*2151/(-8604)? -41/2 What is 24/(-5)*(-4840)/3872? 6 Calculat...
{ "pile_set_name": "DM Mathematics" }
. Determine s(q(n)). 1444*n**2 Let u(g) = 4*g. Let a(l) be the second derivative of -8*l + 2*l**3 - 2*l - 12*l + 8*l. Calculate u(a(o)). 48*o Let p(m) = -2 + 6 + 25*m - 1 - 146*m. Let h(w) = -w**2. What is p(h(u))? 121*u**2 + 3 Let s(q) = -9*q. Suppose -11*d = v - 7*d - 8, v + 4 = 2*d. Let l(b) be the third derivative ...
{ "pile_set_name": "DM Mathematics" }
four letters picked without replacement from {a: 1, s: 4, f: 6}? 3/11 What is prob of picking 2 j, 1 n, and 1 q when four letters picked without replacement from zzmnmjzjqzjjjjjjj? 9/595 Four letters picked without replacement from fiwffwffwfwwiwwf. What is prob of picking 3 w and 1 i? 1/26 Calculate prob of picking 2...
{ "pile_set_name": "DM Mathematics" }
st common divisor of 272 and 51872? 16 Calculate the highest common factor of 785 and 5144105. 785 What is the highest common divisor of 520 and 187655? 65 Calculate the highest common factor of 6 and 23054. 2 Calculate the greatest common divisor of 165715 and 4301. 253 What is the greatest common divisor of 377 and 1...
{ "pile_set_name": "DM Mathematics" }
d by 26571. 111 What is the remainder when 8543 is divided by 3890? 763 What is the remainder when 17804886 is divided by 278201? 22 What is the remainder when 20799174 is divided by 184? 182 What is the remainder when 4992962 is divided by 42? 2 Calculate the remainder when 132573 is divided by 44159. 96 What is the r...
{ "pile_set_name": "DM Mathematics" }
50). -1/47 What is ((9050/(-60))/181)/((-1)/(-6))? -5 What is (10/(-396))/(-1)*(-2571)/(-4285)? 1/66 What is the value of (-1*6)/((-2379)/793*(-4)/(320/(-4)))? 40 Evaluate (6968/(-1040))/((-3)/10)*(252/14)/(-6). -67 What is (-10920)/(-1638)*(-3)/15*2*24? -64 Calculate ((-2895426)/(-15822))/(4/((-4)/(-3))). 61 Calculate...
{ "pile_set_name": "DM Mathematics" }
terms in -6*a**3 - a**3 + 3*a**3 - 3*a**3. -7*a**3 Collect the terms in -4 + 1 + 3 - 11*g**3. -11*g**3 Collect the terms in -3*o + 210*o**2 + 3*o - 211*o**2. -o**2 Collect the terms in -2*g + 3*g + 0*g + g - 112*g**3. -112*g**3 + 2*g Collect the terms in 386*s**2 - 386*s**2 + 3*s**3. 3*s**3 Collect the terms in -2*n + ...
{ "pile_set_name": "DM Mathematics" }
73/((-308936)/414))? -23/3 Calculate (-36)/48*-2*8816/(-228). -58 What is 3/9*49/294*-2? -1/9 -18*161/(-966)*(-56)/3 -56 Evaluate ((-938)/(-77))/((-476)/2618). -67 Calculate (-297)/15*13130/(-2626). 99 (237391/17739582)/((-22)/(-8)) 2/411 What is the value of ((406/21)/((-580)/87))/(4/(140/(-21)))? 29/6 Calculate ((38/...
{ "pile_set_name": "DM Mathematics" }
4. Is 0 at least as big as b? True Let t be (-3 - -2)*(-4)/(-4). Which is smaller: -3/14 or t? t Suppose l = -0 + 1. Let w = -4 - -2. Let b = w - -4. Do b and l have different values? True Suppose -t + 2 = -0*t. Suppose 5*g - 26 = -11. Let c = g - t. Is -2/5 > c? False Let j be 15/20 + 0 - (-1)/(-2). Let b be 3/12*(-10...
{ "pile_set_name": "DM Mathematics" }
11? False Let g(b) = -b**2 - 2*b + 7. Let y be g(-3). Suppose 2*c - p = 4*p + 431, 2*c = -y*p + 422. Does 13 divide c? False Is 9 a factor of ((-9648)/192)/(105/36 + -3)? True Let o(r) = -2*r**3 - 3*r**2 - 9*r - 15. Is o(-7) a multiple of 5? False Let g = 86 + -167. Let d = g + 141. Does 20 divide d? True Suppose -6000...
{ "pile_set_name": "DM Mathematics" }
3*k**5 - 3*k**5. 5*k**5 + 6*k**2 Expand 2*s**5 + s**5 - 5*s**5 + (0*s**4 + s**4 + 2*s**4)*(-8 - s + 8) - 3*s**4 + 3*s**4 + s**5. -4*s**5 Expand (-2*a**3 + 2*a**3 + a**3)*(-a**2 - 2 + 2) - 2*a**5 - 2*a**5 + a**5 + 0*a**3 + a**5 + 0*a**3. -3*a**5 Expand (2*c**2 + 0*c + 0*c)*(-25 + 25 + 25*c**3). 50*c**5 Expand (79*l**4 +...
{ "pile_set_name": "DM Mathematics" }
+ 1964? 1972 In base 5, what is -2 - 1122233? -1122240 In base 10, what is 8 - 4126? -4118 In base 9, what is -48754 - -4? -48750 In base 16, what is -89 - 2da? -363 In base 15, what is -24 + 1451? 142c In base 15, what is 12 + 450? 462 In base 11, what is 25656 - 2? 25654 In base 15, what is 1b - 9? 12 In base 15, wh...
{ "pile_set_name": "DM Mathematics" }
1001 - 995 + 1315*a**3 + 12*a to the form j*a + z + v*a**3 + k*a**2 and give z. 6 Express 1735 - 3470 - 3*w**3 + w + 93*w**2 + 1732 - 2*w in the form g*w + l + z*w**3 + t*w**2 and give l. -3 Express -2 - 174*a**2 - 453*a - 2*a**4 + 343*a**2 + 132*a - 167*a**2 as r*a**2 + c*a**3 + d*a**4 + f*a + j and give c. 0 Express ...
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from {p: 4, n: 1, k: 2, a: 3}. 2/15 What is prob of picking 2 s and 2 i when four letters picked without replacement from isiiiiisissssiisiiss? 132/323 Two letters picked without replacement from {g: 1, j: 11}. Give prob of picking 2 j. 5/6 Four letters picked without replacement from {b:...
{ "pile_set_name": "DM Mathematics" }
Let x = 0.101 - 0.13. Let f = w + x. Round f to 2 decimal places. -0.01 Let h(j) = 4169*j**3 + 42*j**2 - 7*j + 4. Let d be h(12). Round d to the nearest 1000000. 7000000 Let a be -1 + (-6 + 3 - -6). Let b(k) = 4*k - 15001*k**3 + k**2 - 4 + 6 - 3*k. Let m be b(a). What is m rounded to the nearest 100000? -100000 Let j ...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {p: 6, i: 4}. Give prob of sequence ip. 4/15 Calculate prob of sequence xdx when three letters picked without replacement from {x: 4, d: 6, m: 4}. 3/91 Four letters picked without replacement from whwhwhhh. Give prob of sequence whwh. 1/14 Calculate prob of sequence osss when four lette...
{ "pile_set_name": "DM Mathematics" }
- u. Sort f, -3, t. -3, f, t Let j = -5.06 + 5. Let q = 215/88 - 21/8. Let f be (-18)/(-8) + 18/24. Sort f, j, q. q, j, f Suppose -4 = -2*j + 3*j. Let v be (-1)/(-6) - 95/30. Let x(f) = f**2 - f - 7. Let s be x(v). Sort 4, j, s in increasing order. j, 4, s Let z(a) = a - 9. Let w be z(0). Let n be 2/(-8)*(-8)/w. Let b ...
{ "pile_set_name": "DM Mathematics" }
63*n = -58*n + 295. Let v = 60 + n. Which is bigger: 2/127 or v? v Suppose -4*u - 9 = -5*c, -4*u + u + c = -7. Does 27/10 = u? False Let i be 14/15 + -1 + 0. Suppose -a - 12*a = -26. Suppose a - 2 = r. Is r bigger than i? True Suppose 4*w - 8 = 5*v, w = -w + 5*v + 4. Let a be (w/2)/(3/18). Suppose -3*o = 3*u - a, 6 + 7...
{ "pile_set_name": "DM Mathematics" }
**2 + b + 5. Let x be a(-5). Let y(d) = d - 1. Let p(n) = 2*n + 1. Let w be p(2). Let i be y(w). Sort x, i, 3 in ascending order. x, 3, i Let w = 5.7 - 6. Let i = -10 - -9.6. Put i, -4, w in descending order. w, i, -4 Let v = -7.2 - -7.3. Put v, -3/7, -0.2 in descending order. v, -0.2, -3/7 Let v = 16.2 - -3.6. Let a =...
{ "pile_set_name": "DM Mathematics" }
45*-5? -2/13 What is (2/(-12))/(((-33)/(-12))/(660/160))? -1/4 (-1*4/250)/((-9)/(-45)) -2/25 Evaluate 2121/17675*(-2)/(-3)*-1. -2/25 What is the value of ((-4)/(-12)*-2)/((-19)/((-41667)/(-86)))? 17 What is the value of 13*(-18)/(-54)*(-15)/10*2? -13 What is (-14)/1806*(18/1)/(-3)? 2/43 What is (125/(-30))/(45/(-12))? ...
{ "pile_set_name": "DM Mathematics" }
{x: 1, n: 1, g: 2, s: 1}. 1/10 What is prob of sequence pp when two letters picked without replacement from bpkzmbkbbb? 0 Three letters picked without replacement from nncnleeanlvv. What is prob of sequence lnn? 1/55 Two letters picked without replacement from {i: 1, k: 1, h: 4, q: 3, v: 2, t: 4}. What is prob of seque...
{ "pile_set_name": "DM Mathematics" }
u**2 - 409*u + 6296. Determine g(38). -582 Let p(k) = -4*k**2 - 633*k - 562. Calculate p(-157). 223 Let r(p) = -13*p**3 + 19*p**2 + 263*p - 1412. What is r(5)? -1247 Let y(w) = -959*w**3 + 3*w**2 - 48*w - 50. Determine y(-1). 960 Let b(h) = h**3 - 23*h**2 + 29*h + 573. Give b(20). -47 Let q(m) = -m**2 + 460*m - 22626. ...
{ "pile_set_name": "DM Mathematics" }
d, 2, -2 Let g = 0.1 + -0.6. Suppose 0 = -3*m + 81 + 105. Let h = -57 + m. Sort 1/5, g, h in descending order. h, 1/5, g Let w = 1.12 - 1. Let l = -0.38 - w. Put 0.9, -4/7, l in descending order. 0.9, l, -4/7 Let c = -1.55 + 3.55. Let l = 2.6 - 3. Let x = -106 - -531/5. Sort c, x, l in ascending order. l, x, c Let z(c...
{ "pile_set_name": "DM Mathematics" }
the smallest value in -1, g, -0.4? g Let x = 56 - 60. What is the fourth biggest value in -5, 0, x, 1/3? -5 Let q = -0.29 - -0.39. What is the biggest value in q, 2, -2? 2 Let m be 77/396 - 1/(-4). Which is the third smallest value? (a) m (b) 0.5 (c) -0.2 b Let r = 1 + 1. Let n(u) = -u**2 + 6*u + 3. Let k be n(6). S...
{ "pile_set_name": "DM Mathematics" }
4*n - 9. Let r(a) = 7*a**3 - 1. Let q(c) = g(c) - 2*r(c). Let k(m) = -14*m**3 + m + 2. What is 7*k(w) + 2*q(w)? -14*w**3 - w Let b(n) = -54*n**2 - 7*n - 71. Let o(d) = 22*d**2 + 3*d + 35. Give 2*b(s) + 5*o(s). 2*s**2 + s + 33 Let u(b) = b**3 + b**2 + b. Suppose -51*c = -36 + 24 + 165. Let a(i) = 2*i**3 + 7*i**2 + 3*i ...
{ "pile_set_name": "DM Mathematics" }
d + s*x = 6*d - 2322, -5*d + 5814 = -3*x. Suppose 0 = t - d - 937. Is t composite? True Let n(o) = -5*o**2 - 7*o + 26. Let r be n(4). Is (r/123)/(2/(-19299)) a prime number? False Suppose -9*b = -0*b - 36. Suppose -5322 = -4*h + 2*h. Suppose b*w + o - 4536 = 0, -3*w = 3*o - 750 - h. Is w a prime number? False Suppose 1...
{ "pile_set_name": "DM Mathematics" }
Convert 78.4569 millennia to centuries. 784.569 What is ten thirds of a week in minutes? 33600 How many months are there in one quarter of a year? 3 What is 45/8 of a litre in millilitres? 5625 Convert 0.9087334ng to grams. 0.0000000009087334 What is 5/8 of a tonne in kilograms? 625 Convert 66572.98 centuries to millen...
{ "pile_set_name": "DM Mathematics" }
/3 - 284*i/3. i*(i + 2)*(3*i - 142)/3 Determine w, given that 2*w**2 + 160852*w + 3234170738 = 0. -40213 Factor 4*f**3 - 11692*f**2 + 128080*f + 139776. 4*(f - 2912)*(f - 12)*(f + 1) Solve -2*o**4/7 - 274*o**3/7 + 19314*o**2/7 + 4314330*o/7 + 163308744/7 = 0 for o. -87, 124 Factor -n**5 + 328*n**4 - 1932*n**3. -n**3*(n...
{ "pile_set_name": "DM Mathematics" }
est common divisor of 680 and 37480? 40 What is the greatest common factor of 2034 and 558? 18 Calculate the highest common factor of 4 and 37462. 2 What is the highest common divisor of 170208 and 1970? 394 What is the highest common factor of 744053 and 87? 29 Calculate the highest common factor of 1243 and 27233. 11...
{ "pile_set_name": "DM Mathematics" }
p**4 + p**4 + 2*p**4)*(-11 - 6 + 95) in the form z*p + f*p**2 + o + n*p**3 + u*p**4 and give u. 390 Express 2*i**4 + 6 - 6 + (-13 + 8 + 9)*(-2*i**4 + 5*i**2 - 5*i**2) as v*i**3 + y*i + u*i**4 + b*i**2 + a and give u. -6 Express 480 - 239 + 326*q**2 - 240 in the form u + g*q**2 + y*q and give u. 1 Express (28*b + 25*b ...
{ "pile_set_name": "DM Mathematics" }
5*c**3 + 2*c**3)*(-91*c + 173*c + 183*c). -794*c**4 Expand (3*s - 5*s + 3*s)*(6 + 27 - 2) + (-14 - 3 - 1)*(2 + s - 2). 13*s Expand -5*h - 4*h**2 + 0*h**2 - h**4 + 2*h + (7 - 1 + 2)*(-2 + h**4 + 2) - 5*h**4 + 2*h**4 + 2*h**4. 6*h**4 - 4*h**2 - 3*h Expand (6 + 7 - 10)*(-2*d - 5 + 5)*(d**4 + 2*d**4 + 2*d**4). -30*d**5 Exp...
{ "pile_set_name": "DM Mathematics" }
y. Solve 0 = -c*n + 3*n + 8 for n. 4 Let i be 2/((8/(-30))/(2/(-3))). Suppose 0 = 5*n + 4*x - 15, i*x = 6*x. Solve -2*o + 3*o + n = 0 for o. -3 Let d = -558 - -589. Suppose 35*t - 68 = d*t. Solve 2*x - t = -25 for x. -4 Let n be -9 + 0 + 3 + 7. Suppose -3*t - t = 3*y - 11, 0 = -y + n. Solve -v + t*v = -3 for v. -3 Supp...
{ "pile_set_name": "DM Mathematics" }
)/(-143) - (-1 + 1 + 1) -2/13 8/2 + -31*(-4)/(-28) -3/7 Calculate (-55)/11 + -11 - -9. -7 What is the value of ((-252)/(-80) - 3)*4? 3/5 Evaluate (2/(-4) - (-20)/12) + -1. 1/6 1/(((-5)/(-20))/(6/8)) 3 What is 15 + 33/((-297)/234)? -11 2/22 + 5330/902 6 Calculate (-16)/42*(-6)/8. 2/7 What is the value of (-2)/1*(-70)/(-...
{ "pile_set_name": "DM Mathematics" }
a(y) = -419*y + 6 + 214*y - 1 + 30*y**2 - 29*y**2 + 214*y. Determine a(-14). 75 Let i(v) = -v**3 + 8*v**2 + 6*v + 4. Let d(c) = 4*c**2 + 11*c - 11. Let w(h) = -2*h - 46. Let j be w(-21). Let b be d(j). Determine i(b). -23 Let c be (10/(-4))/((-40)/32). Suppose -17 = -g - 3*x, -g - 5*x + 7 = -c*g. Let w(j) = 5*j + 5 - ...
{ "pile_set_name": "DM Mathematics" }
, r = l + 5. Solve p + 2*n - 33 = 6*p, 0 = -2*p + r*n - 18 for p. -5 Let x be ((-264)/(-68))/1 + -1 + (-133)/(-119). Solve -3 = 8*r - 6*r + v, x*r = v - 9 for r. -2 Let c be (-10 - (-407)/44)/(6/(-16)). Suppose -6 = -c*j + 3*n + 5, 0 = -2*j + 5*n + 13. Solve 8*v - 2*k = j*v + 10, 5*v = -3*k + 7 for v. 2 Suppose -9 = -3...
{ "pile_set_name": "DM Mathematics" }
digit of 20829518? 2 What is the units digit of 1309927? 7 What is the tens digit of 870222? 2 What is the units digit of 5483250? 0 What is the tens digit of 1482568? 6 What is the ten thousands digit of 12534? 1 What is the millions digit of 17981872? 7 What is the hundreds digit of 216828? 8 What is the ten thousand...
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 845881409? 877, 964517 What are the prime factors of 63195977? 13, 211, 23039 What are the prime factors of 302107869? 3, 7, 47, 257, 397 What are the prime factors of 14729190? 2, 3, 5, 7, 70139 List the prime factors of 93058601. 131, 710371 What are the prime factors of 2743034719? 191...
{ "pile_set_name": "DM Mathematics" }
-1)/(-8). Sort 6, a, 2/3 in descending order. 6, 2/3, a Let a be ((-12)/10)/(5/(-25)). Let n be ((-6)/9)/(2/a). Let j = -8092 - -8096. Put n, j, -6 in descending order. j, n, -6 Let j = -169 + 174. Let l(y) = -y**3 + 6*y**2 - 2*y - 7. Let n be l(j). Put -5, n, -2 in decreasing order. n, -2, -5 Let c be 14/(-30) - 2/10....
{ "pile_set_name": "DM Mathematics" }
1617876? 2, 3, 13, 3457 What are the prime factors of 152417? 152417 List the prime factors of 8989788. 2, 3, 749149 List the prime factors of 10963869. 3, 7, 163, 3203 List the prime factors of 2196209. 37, 59357 What are the prime factors of 681899? 681899 List the prime factors of 1426368. 2, 3, 17, 19, 23 List the...
{ "pile_set_name": "DM Mathematics" }
+ 0*c. Let u(l) = 5*l - 1. Let q(r) = 11*t(r) - 4*u(r). Let z(a) = 6*a + 11. Determine -8*q(o) + 3*z(o). 2*o + 1 Let m(x) = 7*x + 5. Let b(t) = -7*t - 6. What is -6*b(p) - 7*m(p)? -7*p + 1 Let s(j) = -6*j**3 - 11*j**2 + 11*j - 3. Let a(h) = -2*h**3 - 4*h**2 + 4*h - 1. Let z(b) = -2*b**2 - 8*b + 6. Let p be z(-5). What...
{ "pile_set_name": "DM Mathematics" }
Let c(m) = -16*m**2 - 3*m + 16. Let i(j) = c(j) + 5*n(j). What is i(-6)? -12 Let z(k) = 5*k - 4*k - k + k. Let a(q) = q**2 + 19*q + 33. Let d be a(-16). Let w be (-12)/(-2) - d/(-5) - 1. Determine z(w). 2 Let j(p) = p**3 - 17*p**2 - 3*p + 21. Suppose 0 = 5*s + 4*y - 109, -2*s - y + 37 + 3 = 0. Give j(s). -30 Let r(y) b...
{ "pile_set_name": "DM Mathematics" }
899, -379782? 62*m**2 - 54689*m + 3 What is the r'th term of -510, -1741, -4470, -9447, -17422, -29145? -125*r**3 + r**2 - 359*r - 27 What is the o'th term of -554509, -1109009, -1663497, -2217973, -2772437, -3326889? 6*o**2 - 554518*o + 3 What is the w'th term of -316893, -1268207, -2853729, -5073459, -7927397, -11415...
{ "pile_set_name": "DM Mathematics" }
w(-13). -362 Let d(l) = -59*l - 24. Determine d(1). -83 Let a(c) = -357*c - 5. Determine a(0). -5 Let c(a) = -6*a**2 - 100*a - 286. Give c(-3). -40 Let j(v) = -129*v + 4639. What is j(36)? -5 Let c(k) = k**3 + 89*k**2 - 79*k + 998. What is c(-90)? 8 Let w(o) = -2*o**2 + 59*o - 38. Determine w(28). 46 Let m(d) = d**3 -...
{ "pile_set_name": "DM Mathematics" }
, -5, -1, -8 in ascending order. -15, -8, -5, -1, 1, 2, 13 Put 2, 330133, -5, 7, 3, 1, -3 in ascending order. -5, -3, 1, 2, 3, 7, 330133 Put 450, 110, 7, 6, 5 in increasing order. 5, 6, 7, 110, 450 Sort 5, 2095, 2, 88, -4, 6 in decreasing order. 2095, 88, 6, 5, 2, -4 Put -3, -4, 4, -11164 in decreasing order. 4, -3, -4...
{ "pile_set_name": "DM Mathematics" }
mposite? False Suppose 2*z + 4*w = -4, z - 4*w - 2 - 26 = 0. Let b(a) = -2 + 3 + 29*a**2 + 2*a - a - z*a**2. Is b(1) a composite number? False Let v(p) = -2*p + 2. Let r be v(3). Let a = 6 + r. Suppose -a*q + 1482 = 4*s, 5*q = -0*q + 2*s + 3765. Is q prime? True Suppose -2*u + 1087 = -3*u. Let d = -568 - u. Is d a prim...
{ "pile_set_name": "DM Mathematics" }
414 is divided by 60. 54 Calculate the remainder when 3376 is divided by 10. 6 What is the remainder when 439 is divided by 178? 83 Calculate the remainder when 55 is divided by 8. 7 Calculate the remainder when 1681 is divided by 37. 16 What is the remainder when 102 is divided by 12? 6 What is the remainder when 191 ...
{ "pile_set_name": "DM Mathematics" }
late the greatest common factor of 18 and 2187. 9 What is the greatest common factor of 92734 and 8621? 233 Calculate the highest common factor of 4671 and 864. 27 What is the greatest common divisor of 11 and 2337599? 11 Calculate the greatest common factor of 46865 and 11845. 515 Calculate the highest common factor o...
{ "pile_set_name": "DM Mathematics" }
2 Expand (-40 - 27 - 5*n + 20)*(3*n - 2*n - 3*n + 2*n + 3*n - 4*n + (-3*n + 10*n - 3*n)*(-4 + 1 + 5))*(-2*n + 1 - 1). 70*n**3 + 658*n**2 Expand (-39*y**4 - 505*y**4 + 0*y + 0*y + 862*y**4 + 840*y**4)*(121*y - 57*y - 38*y). 30108*y**5 Expand (-12*g**4 + 7*g**4 + 6*g**4)*(2 + g - 2)*((-5 + 5 - 2)*(-3 - 1 + 5) - 1 - 10 + ...
{ "pile_set_name": "DM Mathematics" }
, -2/17? 1/6 Which is the second biggest value? (a) -162 (b) 0.3 (c) -0.1 (d) -2 (e) -7 (f) -168 (g) 1/5 g Which is the third biggest value? (a) 0.05 (b) 8929 (c) -0.08 (d) -3/5 c Which is the seventh biggest value? (a) -1/2 (b) 6 (c) 0.3 (d) -7/4 (e) 1 (f) 5 (g) 275 d What is the fifth smallest value...
{ "pile_set_name": "DM Mathematics" }
be o(-9). Calculate the greatest common factor of d and y. 20 Suppose -5*w - 444 = -4*v, 76*v + w - 2658 = 55*v. Let q be ((-140)/(-2))/(1/3). What is the greatest common divisor of v and q? 42 Let b(z) = -20*z + 345. Let q(p) = -14*p + 230. Let o(h) = -5*b(h) + 8*q(h). Let g be o(8). Calculate the highest common divi...
{ "pile_set_name": "DM Mathematics" }
-1081*k**3*l**6 + 2*k**3*l**4 + 45*k**3*l**2 - 85*k**2*l**2 wrt l. -129720*k**3*l**3 + 48*k**3*l What is the second derivative of 3*k**3*q**3 + 43*k**3*q**2 + 2*k**3*q + 2*k**3 - k*q**3 - 164*k*q wrt q? 18*k**3*q + 86*k**3 - 6*k*q Differentiate 1871*f - 497 with respect to f. 1871 Differentiate -34*d*g**2*u**3 - d*g**2...
{ "pile_set_name": "DM Mathematics" }
r(i) = -i**3 - 3*i**2 - 2*i. Suppose 5*x - 2 - 43 = 0. Suppose x = -0*q - 3*q. Let k be r(q). Solve -b + k*b + 10 = 0 for b. -2 Let t(n) = -20*n + 1. Let u be t(-1). Solve -4*i = -1 + u for i. -5 Suppose -4*j = 8, -2*j - 32 = -0*i - 4*i. Let n(z) = z**3 - 8*z**2 + 8*z - 4. Let a be n(i). Solve -7 = a*f + 5 for f. -4 Su...
{ "pile_set_name": "DM Mathematics" }
4) in base 8? 244622 What is 1101010010010011 (base 2) in base 16? d493 What is -20011012122 (base 3) in base 5? -12334131 -704283 (base 13) to base 10 -2608284 What is e8aac (base 15) in base 9? 1344510 Convert 138328b (base 12) to base 2. 1110111001000111001011 What is 7640 (base 8) in base 16? fa0 Convert 201210021...
{ "pile_set_name": "DM Mathematics" }
w = 77 - n. Does 17 divide w? False Let k = 154 - 123. Does 2 divide k? False Let f be -2 + 4 - (1 - 0). Suppose -3*z + 2*z + f = 0. Is 2/(-4)*-6*z even? False Suppose 5*w - 4*f - 155 = 0, 5*w + 0*w + 5*f - 110 = 0. Does 27 divide w? True Let t(o) = -o**2 + 12*o + 8. Is t(12) a multiple of 8? True Suppose 281 = 4*w + ...
{ "pile_set_name": "DM Mathematics" }
-f**3 + 5*f**2 - 2*f + 1. Let u be s(3). Calculate the remainder when 42 is divided by 0/3 + u + -2. 9 Let h be ((-9)/(-12))/((-1)/8). Calculate the remainder when 14 is divided by (-3)/18 + (-19)/h. 2 Let q = 10 + -8. What is the remainder when 11 is divided by (q - (3 + -4)) + 1? 3 Suppose -b - 18 = -x, 97 = 4*x + 2*...
{ "pile_set_name": "DM Mathematics" }
i + x = 2*q, 5*q + 5*i - 39 = q. Solve q - 3 = -c for c. -3 Let j(p) = 7*p**2 + 12*p**3 + 12*p - 21*p**3 + 10*p**3 + 16. Let b be j(-5). Solve -15 = b*c - c for c. -3 Let s(x) = 2*x**3 + 3*x**2 - 11*x - 1. Let a be s(-3). Suppose 4*z - 16 = 2*z. Suppose 0 = 4*r + 4*i - 68, -2*r + 5*i = 3*i - 14. Solve -a*c - z = r for ...
{ "pile_set_name": "DM Mathematics" }
t is the nearest to 0.2 in 1, l, h? h Let j = 5 + -3. Let r = 39 + -39.4. What is the closest to j in 2, r, 0.1? 2 Let y = -7.8 + 8. Let x = -1 + -1.5. Let n = x + -0.5. What is the nearest to -2 in 0.3, y, n? n Let a = 2.1 - 2. Let b be (-21)/(-420)*30/(-4). What is the nearest to a in 2/7, b, -2? 2/7 Let s = -10 + 9....
{ "pile_set_name": "DM Mathematics" }
factor of b? False Suppose 0*d = 2*d - 4. Suppose d*z = 2*p - p - 22, -p = 3*z - 7. Is p a multiple of 7? False Does 15 divide (-7)/(14/(-45))*2? True Let j(l) = 2*l**2 + 2 - 3 + 6*l**3 + 0*l**2 + 0*l**2. Is j(1) a multiple of 3? False Is 7 a factor of (10/20)/((-1)/(-14))? True Suppose 2*j + 2*o = 5*j - 2, 0 = 5*j + ...
{ "pile_set_name": "DM Mathematics" }
4189 Calculate 1074645663.359 + 7. 1074645670.359 Put together -79981.15 and 3.98052. -79977.16948 -1053873809 - 6198.76 -1053880007.76 Work out 127 - -46.65388404. 173.65388404 -1487475 - -934210 -553265 What is -53679721089 minus -3? -53679721086 Work out -5638100 - 66717992. -72356092 Calculate -4.1 + -12855256162. ...
{ "pile_set_name": "DM Mathematics" }
52*s(t). -13*t**2 Let z(o) = -2*o**2 + 3*o - 3. Let p be 4/(-10) - (-46)/(-10). Let c = p - -6. Let b(d) = d - 1. Determine c*z(r) - 3*b(r). -2*r**2 Let p(r) = -r**2 + r - 1. Let n(j) = 1. Let z be (4/(-6))/((-2)/(-12)). Let v = z - -5. Give v*n(f) - p(f). f**2 - f + 2 Let g(d) = -12*d**2 - 11*d - 11. Let f(k) = k**2 ...
{ "pile_set_name": "DM Mathematics" }
4, -24684, -42610, -67608, -100854? -196*n**3 - 8*n**2 - 2*n + 26 What is the m'th term of 1765, 3619, 5473, 7327, 9181? 1854*m - 89 What is the w'th term of 2205, 4406, 6605, 8802? -w**2 + 2204*w + 2 What is the t'th term of -1057144, -1057146, -1057148? -2*t - 1057142 What is the k'th term of -8, -83, -346, -911, -18...
{ "pile_set_name": "DM Mathematics" }
-46.983 rounded to one dp? -47 Round -0.0091 to 2 decimal places. -0.01 Round 0.17119 to two decimal places. 0.17 Round -0.0032882 to three decimal places. -0.003 Round -8484.4 to the nearest one thousand. -8000 Round -0.00161 to four decimal places. -0.0016 Round -24290 to the nearest 1000. -24000 Round -12340 to the ...
{ "pile_set_name": "DM Mathematics" }
= 31*r. Is 4 a factor of r? False Let g(x) = -x**2 - 6*x + 3. Let p(r) = -r**2. Let i(k) = -g(k) + 2*p(k). Let m be i(4). Suppose -m*q + 54 + 1 = 0. Is q a multiple of 11? True Suppose -12 = -4*r + 3*y - 2, 3*r - 22 = -5*y. Let l(a) = -6 + 0 + 2*a**2 + 6 - r + 4*a. Is 14 a factor of l(-6)? False Let f(s) = s**3 - 4*s**...
{ "pile_set_name": "DM Mathematics" }
44*y**2 - 471644*y - 85752. -4*(y + 10719)*(11*y + 2) Let -3*a**2 - 39*a + 6084 = 0. Calculate a. -52, 39 Factor -m**3/3 + 806362*m**2/3 - 162554918761*m/3. -m*(m - 403181)**2/3 Determine k so that 214*k**2 - 882*k + 720 = 0. 120/107, 3 Suppose -2*y**2/5 - 548676*y/5 - 37630669122/5 = 0. What is y? -137169 Factor 3*d**...
{ "pile_set_name": "DM Mathematics" }