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e hundreds digit of p? 8 Let x(a) be the first derivative of 7*a**4/4 - 2*a**3/3 - 2*a - 1. What is the tens digit of x(2)? 4 Suppose -5558 = 9*f - 23*f. What is the hundreds digit of f? 3 Let u = -1008 + 2360. What is the hundreds digit of u? 3 Let a = 234 - 138. Suppose -240 = -2*f - a. What is the tens digit of f? 7...
{ "pile_set_name": "DM Mathematics" }
6568670? 6568669 What is next in 227659, 455275, 682879, 910465, 1138027, 1365559, 1593055? 1820509 What is next in -1888424, -1888399, -1888356, -1888295? -1888216 What is the next term in 349658, 349684, 349710? 349736 What is the next term in 834692, 834596, 834500, 834404? 834308 What is the next term in -138562183...
{ "pile_set_name": "DM Mathematics" }
What is the highest common factor of 40 and a? 5 Let n be 1573/9 + (-26)/(-117). What is the greatest common factor of 50 and n? 25 Suppose -19*v + 365 = -319. Calculate the greatest common divisor of 9 and v. 9 Let s be 2184/154 + 3/(33/(-2)). Suppose 3*u + 3*a = 5*a + 28, 2*u - s = -a. What is the greatest common fa...
{ "pile_set_name": "DM Mathematics" }
f 36654 and 18. 6 What is the highest common factor of 17404 and 73720? 76 What is the greatest common divisor of 9632 and 52864? 224 Calculate the greatest common divisor of 7642068 and 84. 84 What is the highest common factor of 1703 and 39? 13 Calculate the highest common divisor of 385 and 19705. 35 What is the gre...
{ "pile_set_name": "DM Mathematics" }
s the next term in -27, -14, 9, 48, 109? 198 What comes next: 58, 82, 106, 130, 154, 178? 202 What is next in 1, -16, -69, -176, -355, -624? -1001 What is the next term in -11206, -11208, -11210, -11212, -11214? -11216 What comes next: 32, 151, 346, 617? 964 What comes next: 47, 41, 31, 17, -1, -23? -49 What comes next...
{ "pile_set_name": "DM Mathematics" }
on factor of 14844 and 14088? 12 Calculate the highest common factor of 5244109 and 1556. 389 Calculate the highest common divisor of 308868 and 1344. 84 What is the greatest common factor of 21279 and 2646727? 173 What is the highest common factor of 1468 and 747679558? 734 What is the greatest common divisor of 45336...
{ "pile_set_name": "DM Mathematics" }
. -1, 0, 2, 3, 39 Sort -5, 76, 10, -10 in ascending order. -10, -5, 10, 76 Sort -2, 0.7, 59 in decreasing order. 59, 0.7, -2 Sort -2/19, -8, 2/3. -8, -2/19, 2/3 Put -1, 6, 5, 3, -2 in decreasing order. 6, 5, 3, -1, -2 Sort -26, -13, -7. -26, -13, -7 Sort -2, -361, 2/17 in increasing order. -361, -2, 2/17 Put 6, -5, 26 ...
{ "pile_set_name": "DM Mathematics" }
-2/9 in ascending order. -4, -2, -2/9, -4/89, 0.5, 6 Sort -415, 0.3, 37, -4, -5 in increasing order. -415, -5, -4, 0.3, 37 Put 3/2, 1, -2/7, 2/5, -0.6, 0 in increasing order. -0.6, -2/7, 0, 2/5, 1, 3/2 Put 1, 3, -0.07, 0.4, -0.24, 2 in ascending order. -0.24, -0.07, 0.4, 1, 2, 3 Sort 0, -67, 17, -4, -3, 1 in increasing...
{ "pile_set_name": "DM Mathematics" }
106, 0 = -3*p + 2*g + 48. Solve 60*j + p = 58*j - 4*i, 4*j + 4*i + 8 = 0 for j. 3 Suppose -13*i = 70 - 174. Solve -3*y + 3*b = -3 - 3, -y + i = -3*b for y. -1 Let x = -2689 - -2700. Solve 4*m + 3*c - 3 = -x, 5*m + 21 = -c for m. -5 Let z = 3129 - 3092. Solve 0 = 7*o - 11*o - 5*a - z, 0 = -2*o + 2*a + 4 for o. -3 Let n(...
{ "pile_set_name": "DM Mathematics" }
earest 10000? 40000 Round -0.0101462497 to 6 dps. -0.010146 Round -372676.1386 to the nearest 10000. -370000 What is -0.00310780187 rounded to 4 dps? -0.0031 What is 33.444525 rounded to two dps? 33.44 What is -0.01549989402 rounded to 4 decimal places? -0.0155 Round 89.57953479 to the nearest integer. 90 Round -0.0002...
{ "pile_set_name": "DM Mathematics" }
3*(j + 1)*(j + 84983)/8 Let 27*l**5/8 - 93*l**4/8 - 393*l**3/8 + 1689*l**2/8 - 207*l/4 - 297 = 0. What is l? -4, -1, 22/9, 3 Factor -2*k**4 - 78*k**3 - 356*k**2 - 552*k - 272. -2*(k + 1)*(k + 2)**2*(k + 34) Solve -5*m**2/2 - 3695*m/2 - 213070 = 0. -596, -143 Suppose 4*j**4/3 + 2738*j**3/9 + 156356*j**2/9 + 4712*j/3 - ...
{ "pile_set_name": "DM Mathematics" }
Let s(j) = -j**2 + 6*j + 8. Let p be s(7). Which is the nearest to p? (a) -3 (b) 4 (c) z c Let d be ((-20)/16)/(5/(-2)). Let f = -0.1 - -0.08. Let g = f - -0.02. Which is the nearest to g? (a) -2 (b) d (c) 2/17 c Let d be 2*(2 + 14/(-6)). Suppose -49*q = -45*q - 36. Let x = -43/5 + q. Which is the nearest to 0.1...
{ "pile_set_name": "DM Mathematics" }
ivide x? False Suppose 2*z = z + 8. Is z a multiple of 2? True Suppose 154 = 3*f - 0*f + 5*q, -2*q - 182 = -3*f. Does 5 divide f? False Is 15 a factor of -4 + 1647/18*16/6? True Let w = 8 + -2. Let n be -1 + 3/(w/280). Let u = n + -77. Is 21 a factor of u? False Suppose 5*q - 49 - 276 = 0. Is q a multiple of 12? False ...
{ "pile_set_name": "DM Mathematics" }
picked without replacement from yyuyyyuyuuuyuyuuuyyy. 7/95 Two letters picked without replacement from {j: 2, g: 2, a: 2, t: 1, i: 1, d: 5}. What is prob of sequence ta? 1/78 What is prob of sequence fcw when three letters picked without replacement from {w: 2, f: 1, c: 1, o: 1}? 1/30 Four letters picked without repla...
{ "pile_set_name": "DM Mathematics" }
est value? (a) 0.4 (b) 10 (c) -0.089 (d) -0.49 (e) 1 (f) 5 b Which is the second biggest value? (a) 330 (b) -0.62 (c) 1 (d) -5 (e) -2.6 (f) -1/7 (g) 4/5 c What is the biggest value in -8609, -21, 2? 2 Which is the fifth biggest value? (a) 0.2 (b) 0.1 (c) 1/162 (d) -46 (e) -2/9 (f) -0.2 e What is the ...
{ "pile_set_name": "DM Mathematics" }
- 2 - 8*w + 0. Let x(s) = -s - 1. Let d(z) = o*a(z) - 5*x(z). Differentiate d(c) wrt c. -3 Let a(i) be the second derivative of i**5/20 + 5*i**3/6 + 3*i. Find the second derivative of a(l) wrt l. 6*l Let q(m) be the third derivative of -m**5/60 + m**3/3 - m**2. Let r be q(0). What is the first derivative of -3*g**4 - ...
{ "pile_set_name": "DM Mathematics" }
q(k) = l*a(k) + 5*w(k). Determine b(q(f)). 14*f Let d(o) = -2*o. Let p(a) = -17252*a**2. Give d(p(t)). 34504*t**2 Let h(n) = -n**2 + 89. Let f be h(9). Let m(g) be the second derivative of -f*g + 0 + 0*g**2 + 0*g**3 + 7/12*g**4. Let u(d) = d**2. What is u(m(c))? 49*c**4 Let d(p) = -17*p. Let f(x) = 6*x - 5. Let t = 18 ...
{ "pile_set_name": "DM Mathematics" }
-5/11 What is -55 - ((48/(-3) - -8) + (-4)/4)? -46 What is -21 + ((-1)/(-3)*(-65 - -64))/((-34)/714)? -14 What is the value of (5/3 - (-114)/(-684))/(78/20)? 5/13 160/54*(30/(-600) + (1276/80)/(-11)) -40/9 Evaluate (-44)/6*(-4221)/(-737). -42 -15 + 96148/1144 - 5/110 69 Calculate (23/92)/(30/(-5280)). -44 (286/(-13) - ...
{ "pile_set_name": "DM Mathematics" }
l = -109 - s. Does 13 divide l? True Suppose 60*k - 52*k + 112 = 0. Is 0 - (-1225)/k*-2 a multiple of 25? True Suppose 2*p = 2, 5*h + 3*p - 34 - 44 = 0. Suppose -22 = 2*b - 64. Suppose h = 2*m - b. Does 7 divide m? False Let b(o) = 2*o + 31. Let v be b(-14). Suppose -114 - 876 = -v*q. Suppose 5*c + q = 15*c. Is c a mu...
{ "pile_set_name": "DM Mathematics" }
1}. Give prob of sequence bku. 1/168 Calculate prob of sequence uum when three letters picked without replacement from ugahuhgmahha. 1/660 Calculate prob of sequence gi when two letters picked without replacement from {g: 1, h: 1, n: 4, t: 1, i: 4, q: 1}. 1/33 Calculate prob of sequence nnu when three letters picked w...
{ "pile_set_name": "DM Mathematics" }
s 26 divide o? False Let s = -8 + -5. Let m = s + -12. Is ((-20)/25)/(1/m) a multiple of 8? False Let q(w) = -w**3 - 8*w**2 - 9*w - 9. Let o be q(-7). Suppose -o*h - 5*m = -5, 0 = -0*h + 3*h - 2*m - 18. Suppose -18 = 2*v - h*v. Is 6 a factor of v? False Let v(d) = 2*d - 6. Let l be v(12). Suppose 0 = 3*h + 3 - l. Suppo...
{ "pile_set_name": "DM Mathematics" }
for w. 4 Suppose 5*m + 5*c = 275, 0*c + c = 3*m - 181. Let d = m + -54. Suppose -3*l + 2 - 12 = -5*j, l = -d*j + 10. Solve 2*k = -j*k for k. 0 Suppose 2*i - 1 = 3*q - 6, -3*q + 20 = i. Suppose -i*d + 6*h = 3*h - 18, 3*h = -4*d + 36. Solve 2*v - d - 2 = 0 for v. 4 Suppose -z - 3*f + 83 = 0, -2*f - 233 = -4*z + 113. Solv...
{ "pile_set_name": "DM Mathematics" }
*3*-2 - (-1 + sqrt(13)*2)*-5. -5 + 46*sqrt(13) Simplify ((sqrt(42) - sqrt(168) - sqrt(42))*3)/(sqrt(54)/sqrt(225)) + -5. -30*sqrt(7) - 5 Simplify 0 + sqrt(2448)*-2 + sqrt(17) + sqrt(187)/sqrt(176) - (-1*sqrt(68)*-1 + sqrt(68))/(sqrt(36)*6). -823*sqrt(17)/36 Simplify -2*(1*sqrt(17)*-1 + -1 + sqrt(51)/sqrt(3) + -3)**2. -...
{ "pile_set_name": "DM Mathematics" }
ens digit of 1198? 9 What is the tens digit of 15736? 3 What is the units digit of 347? 7 What is the thousands digit of 9025? 9 What is the ten thousands digit of 19621? 1 What is the ten thousands digit of 121733? 2 What is the tens digit of 2569? 6 What is the tens digit of 2561? 6 What is the tens digit of 11163? 6...
{ "pile_set_name": "DM Mathematics" }
f(d) = -7*d**2 + 16*d + 8. Let u(c) = -2*f(c) + 5*w(c). Calculate u(h). 19 Let l(c) = 3*c**3 + c**2 - 2*c. Let d = 192 - 101. Let x be (-208)/d + 2/7. Determine l(x). -16 Suppose 4*g + 2*z + 3 = 41, -2*g + z = -21. Suppose 0 = -2*a + 4*p - 2, 2*a - g = p - 12. Let b(d) = -d + 1. Give b(a). 2 Let y be (-1)/(-3)*60/4. S...
{ "pile_set_name": "DM Mathematics" }
5720 divided by -4? 1886430 Divide -462 by -1706. 231/853 What is 32542960 divided by -2512? -12955 11 divided by 337906 11/337906 -21151854 divided by 3 -7050618 -558814620 divided by 1432858 -390 647 divided by 1570 647/1570 -250 divided by 462632 -125/231316 64753888 divided by 1 64753888 What is 348 divided by -327...
{ "pile_set_name": "DM Mathematics" }
1456546894 Calculate the smallest common multiple of 42 and 30343306. 91029918 Calculate the common denominator of 16/124483731 and 37/27. 1120353579 Find the common denominator of -107/36 and 59/355612788. 355612788 Find the common denominator of -1/11214723 and -38/27. 100932507 Calculate the smallest common multiple...
{ "pile_set_name": "DM Mathematics" }
1. Let a(r) = 17*y(r) - 6*z(r). Factor a(x). -5*(x - 3)*(x - 1)*(x + 1) Suppose 10 = q + 4*l - 18, -68 = -4*q - 5*l. Suppose 0*k + 3*k - q = 0. What is w in 5*w**2 - 2*w**3 + 3*w**2 - w**k - 4 + w**2 - 6*w**2 + 4*w = 0? -2, 1 Let d(b) be the second derivative of b**6/45 - b**5/10 - 5*b**4/18 + b**3/3 + 4*b**2/3 - 31*b ...
{ "pile_set_name": "DM Mathematics" }
r k. -1 Let a be 0/(-2*(-2)/4). Suppose -4 = u, -5*f + 0*f + 2*u + 8 = a. Solve f = -4*c + c - 12 for c. -4 Let b = 4 + 1. Solve -b*m + 2*m - 12 = 0 for m. -4 Let w be 3*(3 - 21/9). Let r be 11 - ((2 - 1) + -2). Let t = r + -6. Solve -w*i = 2 + t for i. -4 Let s = 15 - 12. Suppose -5*n - 8 + 0 = 4*k, -2*n + 4*k - 20 = ...
{ "pile_set_name": "DM Mathematics" }
e sh when two letters picked without replacement from sshsndr. 1/14 What is prob of sequence lk when two letters picked without replacement from klk? 1/3 Calculate prob of sequence ew when two letters picked without replacement from {e: 2, t: 2, w: 2, l: 3}. 1/18 Calculate prob of sequence gg when two letters picked wi...
{ "pile_set_name": "DM Mathematics" }
at is the q'th term of 13, -4, -33, -74, -127, -192? -6*q**2 + q + 18 What is the q'th term of 43, 39, 35, 31, 27, 23? -4*q + 47 What is the s'th term of -112, -206, -300, -394, -488, -582? -94*s - 18 What is the q'th term of -1359, -1361, -1363, -1365? -2*q - 1357 What is the o'th term of 17, 7, -35, -109, -215, -353,...
{ "pile_set_name": "DM Mathematics" }
j - 9. Let n(s) be the first derivative of -s - s**2 + j + s. Let t(u) = 2*u. Determine t(n(p)). -4*p Let n(d) = d**2. Let p(x) = 51*x**2 + 5. Calculate n(p(q)). 2601*q**4 + 510*q**2 + 25 Let m(a) = a**2. Let w(g) = -44*g - 17. Let n(l) = 15*l + 6. Let t(z) = -17*n(z) - 6*w(z). Calculate t(m(s)). 9*s**2 Let v(x) = -x. ...
{ "pile_set_name": "DM Mathematics" }
- 7 - 13. Suppose 42*t - 37*t - 260 = h. Is 9 a factor of t? False Does 32 divide 32/6*(33 + 15)? True Let y = 1216 - 676. Does 28 divide y? False Is 24211/88*2 + 2/(-8) a multiple of 10? True Let m = -151 - -223. Let r be m/40 + (-2)/(-10). Suppose 0 = 2*l + r*l - 256. Does 14 divide l? False Let s(k) = 2*k + 2. Let f...
{ "pile_set_name": "DM Mathematics" }
1366*c + 4 Let l(d) = -4*d**2. Let v(z) = -z + 1. Let n be v(-7). Let i(o) = 8 - n + o. Calculate l(i(s)). -4*s**2 Let i(z) = -8*z**2. Let t(k) = -2*k**2. Give i(t(r)). -32*r**4 Let u be -3 - (-9)/2*2. Let v(a) = a - 8*a + u*a. Let c(f) = -6*f**2. Determine v(c(k)). 6*k**2 Let h(q) = 72649*q**2. Let i(d) = d**2. Give h...
{ "pile_set_name": "DM Mathematics" }
- 30*z - 12 + 46. Give -50*f(j) - 2*i(j). 10*j Suppose 17 + 28 = 5*c. Suppose -8*r = -23 - c. Let n(p) = -3*p - 1. Let o(l) = 2*l + 1. Calculate r*n(g) + 5*o(g). -2*g + 1 Let a(j) = -133*j**3 - 2*j**2 - 6*j + 9. Let l(s) = 134*s**3 + 2*s**2 + 7*s - 11. What is 6*a(p) + 5*l(p)? -128*p**3 - 2*p**2 - p - 1 Let f(j) = 23*j...
{ "pile_set_name": "DM Mathematics" }
the form c*h**2 + s + j*h + r*h**3 and give j. 0 Express -38*a - 2195*a**2 + 71*a - 33*a + 13 - 19 in the form t*a**2 + q + h*a and give t. -2195 Express 4*g - 3*g**2 - 10 + 2*g**2 + 1535610*g**3 - 1535607*g**3 as j*g + l*g**2 + f*g**3 + r and give f. 3 Rearrange 2139*g**3 - 2140*g**3 + 3*g**2 - 7*g**2 + 80*g - 4 to th...
{ "pile_set_name": "DM Mathematics" }
order. 2.4, -1, -246 Sort -8/3, 0.3, -11.3, 16.7 in increasing order. -11.3, -8/3, 0.3, 16.7 Put 0, 233, 4, -4, -73 in ascending order. -73, -4, 0, 4, 233 Sort -8, 708, 120. -8, 120, 708 Sort 4, -4, 201, 11, -3, -5/6. -4, -3, -5/6, 4, 11, 201 Sort -5, -86, 2, 10 in increasing order. -86, -5, 2, 10 Put -0.1, -5, -14/9, ...
{ "pile_set_name": "DM Mathematics" }
((s*(s*s/(s/(s**1/s)*s*s))/s)/s) assuming s is positive. s**(27/13) Simplify (q*q**18)/(q/(q**(-2/57)*q)) assuming q is positive. q**(1081/57) Simplify ((d**(-1)*d)/d*d)/(d*d*d**(-6/5)) assuming d is positive. d**(-4/5) Simplify (z**2*z*z/(z**(1/9)/z))**(-2) assuming z is positive. z**(-88/9) Simplify (v*v**2)**(1/68)*...
{ "pile_set_name": "DM Mathematics" }
g be u(18). Find the third derivative of g*y**2 + 9*y**3 + 13*y**2 - 3*y**b wrt y. 54 Find the first derivative of 6680*x**4 + 752 + 900 - 5964*x**4 wrt x. 2864*x**3 Let u(w) = -1935*w**3 - 22*w**2 + 59*w + 6. Let v(b) = 388*b**3 + 4*b**2 - 12*b - 1. Let f(q) = 2*u(q) + 11*v(q). Find the second derivative of f(d) wrt d...
{ "pile_set_name": "DM Mathematics" }
/2000*2/(-3). -49 Calculate ((-12)/(-220))/((-705)/(-987)*(-63)/(-30)). 2/55 What is -4*(2/3 - ((-17)/((-255)/760) - 28))? 88 What is the value of (1395/(-620))/(24/(-40))? 15/4 Calculate (58/(-261))/((-684)/162). 1/19 What is the value of ((-90)/40)/((-117)/(-24)*(21 + -18) + -15)? 6 Calculate (2/(-3)*(-756)/(-294))/(...
{ "pile_set_name": "DM Mathematics" }
Round j to 2 dps. 0.02 Let w = -366 - -65. Let c = 302.57 + w. What is c rounded to one dp? 1.6 Suppose -5*r - 761 + 46 = 0. What is r rounded to the nearest one hundred? -100 Let a = -13.01066836 - -7.0106692. Let w = -6 - a. What is w rounded to 7 dps? -0.0000008 Let i = 2 - 1.99999956. Round i to 7 decimal places. ...
{ "pile_set_name": "DM Mathematics" }
4*o. Is b prime? False Let m = 15 + -16. Let d(o) = -878*o**3 - o**2 - 2*o - 2. Is d(m) a composite number? False Suppose -3*p = 2*p - 67215. Is p composite? True Let l be 17/(-4)*(-9 + 13). Is (-10 - l)/((-2)/(-34)) a prime number? False Let i(b) = -b**3 + 11*b**2 + 3. Let g be i(11). Suppose -g*f + 56 = f. Let l = 4...
{ "pile_set_name": "DM Mathematics" }
14 - 2. Suppose -j = i*j. Calculate the remainder when 29 is divided by c(j). 9 Let v(k) = -8*k**2 + 1. Let x be v(1). What is the remainder when 3 + 2/(-2) - x is divided by 2*1 + 1 + 2? 4 Let v = 109 + -95. Calculate the remainder when 54 is divided by v. 12 Let f(u) = -u + 22. Let w be f(18). Suppose 4*t - 64 = -w*...
{ "pile_set_name": "DM Mathematics" }
20 + 25 = -3*n. What is the remainder when 15 is divided by l(n)? 3 Let y(i) = 14*i - 5. Let u = 21 + -19. Calculate the remainder when -1 + 1/(-1) - -91 is divided by y(u). 20 Let q = -19 + 25. Suppose -3*j = -q - 309. What is the remainder when j is divided by 36? 33 Let b(x) = 9*x - 2. Let s be b(-13). What is the ...
{ "pile_set_name": "DM Mathematics" }
g(p(v)). -128881*v**2 Let n(r) = r + 2*r + 0*r. Suppose -40*b - 1374 = -46*b. Let v(l) = -229*l - 7*l**2 + b*l. Give n(v(f)). -21*f**2 Let x(y) = -29*y**2. Let f(i) = 3*i. Suppose 18*h = 17*h. Let m(a) = h*a + 2*a - 3*a - a. Let d(l) = -4*f(l) - 7*m(l). What is x(d(q))? -116*q**2 Let p(v) = -10*v**2. Suppose 5*k + 2*d...
{ "pile_set_name": "DM Mathematics" }
. Calculate k(6). -6 Let w(s) = s**2 - 773*s + 142078. Determine w(301). 6 Let g(r) = 2*r**2 + 248*r + 1972. What is g(-114)? -308 Let d(w) = -24*w - 744. What is d(-36)? 120 Let z(o) = -o**2 + 55*o + 131. Calculate z(55). 131 Let q(l) = -20*l**2 - 133*l - 140. Give q(-5). 25 Let p(y) = -36*y - 372. Determine p(-12). 6...
{ "pile_set_name": "DM Mathematics" }
34.00099. Round d to 4 dps. -0.001 Suppose 0 = 2*a - 1 - 11. Let v(f) = -160*f + 23. Let q be v(a). Round q to the nearest one hundred. -900 Let t = -257.999406 - -258. What is t rounded to five dps? 0.00059 Let o(k) = -491560*k - 80. Let p be o(32). Round p to the nearest 100000. -15700000 Let i = -9.27 + 1.27. Let l ...
{ "pile_set_name": "DM Mathematics" }
e o(p). -7 Let f(i) be the third derivative of -25*i**4/24 - 211*i**3/2 - 8346*i**2. Calculate f(-25). -8 Let n(m) = 2*m**2 - m - 6. Let v be -1380*(1 - (-7)/(-14)*3). Let a = 693 - v. Give n(a). 9 Let m be 665/665*1/((-1)/25). Let c(o) = -o**2 - 47*o - 548. What is c(m)? 2 Let y(v) = -v - 26. Let z = 13894 - 13909. Wh...
{ "pile_set_name": "DM Mathematics" }
= -2934 + 8275. Is k a multiple of 49? True Let g be (-2)/4*(2 + 3 + -5). Suppose 2*c - 46 - 42 = g. Is 22 a factor of c? True Suppose 4*w - 4*p = p - 3565, 2*w + 1784 = 2*p. Let t = -373 - w. Is t a multiple of 52? False Let c be 12789/(-126)*16/(-14). Let p = c - -304. Is 14 a factor of p? True Let d(s) = 9*s**2 - 9*...
{ "pile_set_name": "DM Mathematics" }
3 Suppose 39*l - 74542 = -9451. What is the tens digit of l? 6 Suppose 60*x - 62*x - 842 = 0. Let i = -266 - x. What is the hundreds digit of i? 1 What is the hundreds digit of (-119829)/59*1/(-3)? 6 Suppose y = 5*m + 293, 4*m - 82 = y - 316. Let p = -91 - m. Let s = p + 64. What is the units digit of s? 2 Suppose 7*p ...
{ "pile_set_name": "DM Mathematics" }
be k(q). Calculate j(g). -4 Suppose 0 = 10*j - 4*j + 18. Let f(d) = -6*d - 3. Give f(j). 15 Let a(u) = -u - 3*u + 2*u + 3 - u**2 + 0. Calculate a(-3). 0 Let j(u) = -u**3 + 5*u**2 - 2*u + 7. Let r(s) = s**3 - 11*s**2 - 24*s - 21. Let a be r(13). What is j(a)? -3 Let l(d) = d**2 - 7*d - 1. Let b(i) = i. Let s(u) = 5*b(u)...
{ "pile_set_name": "DM Mathematics" }
s u(8) prime? False Suppose 2*n - 5*n - 179526 = -3*r, -3*n = -4*r + 239365. Is r a prime number? False Suppose -11*d + 7*d = -40. Let x(m) = 993*m + 47. Is x(d) prime? False Suppose 13*h = 27894 + 42145 + 337888. Is h a prime number? True Suppose -429*f - 89 = -430*f. Let u = 231 - f. Is u a prime number? False Is (0 ...
{ "pile_set_name": "DM Mathematics" }
*(-5)))/(n**(2/9)*n/((n**2*n*n)/n)) assuming n is positive. n**(508/63) Simplify ((p/p**(-3))/(p/(p*p*p**(-2/5))*p))/((p*p/(p**1/p))/p*p)**(-39) assuming p is positive. p**(408/5) Simplify (v**(-1))**(-1/5)*(v**(-2))**(-19) assuming v is positive. v**(191/5) Simplify ((x**1)**(-41))**14 assuming x is positive. x**(-574...
{ "pile_set_name": "DM Mathematics" }
4 - w = 0 for x. -3 Suppose g - 27 = -2*g - 5*v, 2*g - 23 = -5*v. Suppose g*r = r - 9, 63 = 5*j - r. Solve -3*c - j = -7*c for c. 3 Suppose -3*g + r = -26, -5*r - 46 = -5*g - 4*r. Let h be (-2)/(-1) - (g - 8). Solve -11*v + v + 20 = h for v. 2 Let m = 2579 - 2555. Let n = -16 + 10. Let f be (-20)/n + (-8)/m. Solve 4*v...
{ "pile_set_name": "DM Mathematics" }
s) = -s**2 - 3*s - 1 + 1 + 3. Suppose 2*w - 7 + 15 = -2*n, -16 = -w + 4*n. Suppose -5*f = -w + 15. Calculate x(f). 3 Let z be 21/(-28) + 0 - 11/(-4). Let r(g) = 2*g + 6 - 6*g**z + 6 - 9 - g**3. Give r(-6). -9 Let c(u) = -u**3 - 5*u**2 + 5*u + 1. Suppose 40 = -8*p - 0*p. Give c(p). -24 Let k(j) = 96 + j**2 - 8*j + 93 + ...
{ "pile_set_name": "DM Mathematics" }
*p + p + 0*p to the form z*p + r and give r. 0 Express (32358*v**3 + 32354*v**3 - 6*v - 75 - 64713*v**3 + 3*v**2)*(2 - 2 - 1) in the form k*v**3 + t*v**2 + l + y*v and give k. 1 Express (-1 + 1 + 1)*(0*l**3 + 2*l**3 + 0*l**3)*(2 - 1 + 1)*(429*l + 429*l - 806*l - 1) as a + p*l**4 + u*l**3 + j*l + w*l**2 and give j. 0 Re...
{ "pile_set_name": "DM Mathematics" }
2*sqrt(567) + 3)**2 - (0 + sqrt(175) - (2 + 1 + sqrt(7))**2)). -45952 - 487*sqrt(7) Simplify -2 + (0 + sqrt(612) + 5 + 3)**2 + sqrt(85)/(-6*sqrt(5)*-1 + sqrt(5)) + 5. 673*sqrt(17)/7 + 679 Simplify (3 + (1 + ((sqrt(192) + -1)*3 - (sqrt(192) + 0 + -1 - sqrt(192))))**2)*3 + 1. -144*sqrt(3) + 5197 Simplify 5 + 5 + -4 + 2 ...
{ "pile_set_name": "DM Mathematics" }
ighest common factor of 486 and 3510? 54 Calculate the greatest common factor of 47 and 73837. 47 What is the greatest common divisor of 324 and 180? 36 What is the highest common divisor of 671 and 22? 11 What is the highest common divisor of 976 and 3294? 122 What is the highest common factor of 296 and 28564? 148 Ca...
{ "pile_set_name": "DM Mathematics" }
*i**3 = 0. What is i? -4, -1, 2/7 Let d be (-1)/(((-308)/455)/11). Let z = d + -447/28. Factor -2/7*s**4 + 0 + 2/7*s**3 - 2/7*s + z*s**2. -2*s*(s - 1)**2*(s + 1)/7 Let w be -12 - ((-347)/23 - 252/(-2898)). Let 3*i**2 - 3/2*i**5 + 3/2*i**4 + 9*i**w - 15/2*i - 9/2 = 0. Calculate i. -1, 1, 3 Let z = -658 - -1299. Let f = ...
{ "pile_set_name": "DM Mathematics" }
Let r be (-4 - 1)*5/((-50)/8). Let a = r - 0. Suppose 0 = a*l + u + 3, -4*l - l = -5*u - 15. Solve 0 = y - l*y + 3 for y. -3 Let r = -8456 + 8497. Solve r + 7 = 8*g for g. 6 Let z(x) = 550 - 3*x + 0*x - 557. Let r be z(-7). Solve -6*b + 16 = -r for b. 5 Let s(h) = -8*h - 118. Let k(i) = -3*i - 40. Let f(m) = 14*k(m) -...
{ "pile_set_name": "DM Mathematics" }
637? -5*l**3 - 5*l**2 - 96*l + 6285 What is the c'th term of -5763, -22946, -51523, -91494, -142859, -205618, -279771? -5697*c**2 - 92*c + 26 What is the q'th term of 332995, 667344, 1001693, 1336042, 1670391? 334349*q - 1354 What is the g'th term of 22110, 23377, 24654, 25947, 27262, 28605, 29982, 31399? g**3 - g**2 +...
{ "pile_set_name": "DM Mathematics" }
- 10)). 12 Calculate -57 + (-7 - (-16 + 19 - 25)). -42 67 + -44 + -8 + 3 18 Evaluate (-359 - (108 + -214)) + 135. -118 What is the value of -123 + (93 - (179 - 121))? -88 Calculate -23 + 102 + -117 + (41 - 9). -6 Evaluate -77 - (-1 + 14 - (-509 + 524)) - 11. -86 What is (46 - (84 + -54)) + -74? -58 (3 - 0 - (-12 + 30 -...
{ "pile_set_name": "DM Mathematics" }
5*g + 192 = -r + 5*r. Let u = g - -54. What is the remainder when 25 is divided by u? 11 Suppose 96*b - 97*b = -2413. Calculate the remainder when b is divided by 23. 21 Let q be 2/6 - (-12)/(-36). Suppose 2*k - 54 - 76 = q. Suppose -3*u + k = 5*g, 5*g = -4*u + 28 + 42. What is the remainder when 16 is divided by g? 6...
{ "pile_set_name": "DM Mathematics" }
+ 4 = 0. What is n? -1, -1/4, 1/3, 1 Let u = 464 - 464. Let u*c + 2/3 + 1/6*c**3 - 1/2*c**2 = 0. What is c? -1, 2 Let c be (-2 + 3)*(-2 - -11). Solve -4*p + 3*p**3 + p + 15*p**2 + c*p**3 - 6*p**2 = 0. -1, 0, 1/4 Let n(m) be the second derivative of m**6/45 + m**5/20 - m**4/18 - 12*m. Suppose n(p) = 0. What is p? -2, 0,...
{ "pile_set_name": "DM Mathematics" }
hat is -c3 + -3c8? -4bb In base 12, what is 60121 + -4? 60119 In base 11, what is 0 + -19668? -19668 In base 7, what is -1 - 2402550? -2402551 In base 14, what is -9 - 125a? -1265 In base 5, what is -2 + 312123? 312121 In base 15, what is 23 + 1d193? 1d1b6 In base 8, what is 1474 - 1246? 226 In base 11, what is a + -69...
{ "pile_set_name": "DM Mathematics" }
8. Suppose 4*c = 4*y - 2920, -3*y - 2*c - z = -6*y. Let x = -212 + y. Is x a prime number? True Let n = 17 - 10. Let j(l) = -l**2 + 10*l + 6. Let d be j(n). Is 10/45 + 2235/d prime? True Suppose -4*z + 0*z = -8. Suppose -7*s - 1 = 2*o - z*s, -5*s = 4*o - 3. Suppose 1632 = 4*w - 5*n - 621, -3*w + o*n + 1681 = 0. Is w pr...
{ "pile_set_name": "DM Mathematics" }
u(s) be the third derivative of -617*s**9/168 - 293*s**5/60 - 8*s**2 - 23*s. Find the third derivative of u(l) wrt l. -222120*l**3 What is the third derivative of 24*p + 105 - 78 - 15*p**3 - 546*p**5 + 5846*p**5 + 15*p**3 - 2*p**2 wrt p? 318000*p**2 What is the second derivative of 2*w**3 - 270*w**5 + 41*w**5 + 2440*w...
{ "pile_set_name": "DM Mathematics" }
4*j for a. 8 Solve -198897*b = -198896*b + 13*h - 9, b + 7 = 3*h for b. -4 Solve -493*o + 23*t = 494*o - 992*o + 29, -2*o - 2*t - 6 = 4 for o. -8 Solve -34*v + 3*q = 8*v + 189, -27 = 2*v + 4*q - 47 for v. -4 Solve 176*s + 117*s + 80 = 16*v + 288*s, -3*s - 96 = 0 for v. -5 Solve 2*m - 17*n - 2629 + 2333 = 0, -120 = 6*m ...
{ "pile_set_name": "DM Mathematics" }
a**4 - a**3 + a**2. Suppose j + 7 = 8. Let i(p) = j*h(p) + g(p). Find the third derivative of i(u) wrt u. 1140*u**2 Let k = -366 + 370. Let b(v) be the second derivative of 0 + 0*v**4 + v**2 + 0*v**3 - k*v + 3/10*v**5. Differentiate b(p) wrt p. 18*p**2 What is the third derivative of -176*c**2 + 195*c**5 - 6*c + 177*c*...
{ "pile_set_name": "DM Mathematics" }
Let r = t + f. What is the remainder when 2 is divided by r? 0 Let q = -36 + 64. Let m = -1219 - -1329. Calculate the remainder when m is divided by q. 26 Let q = -255 - -295. Let i(d) = -2*d**3 - 3*d**2 + 4*d - 1. Calculate the remainder when q is divided by i(-3). 12 Suppose 181 = 2*t - 3*a, -2*t + 78 = -t - 4*a. Wha...
{ "pile_set_name": "DM Mathematics" }
42848*l**4 Let h(x) = -111644*x - 1. Let i(p) = 253*p. Determine i(h(d)). -28245932*d - 253 Let f(g) = 7*g - 2. Let y(k) = -155*k + 45. Let l(u) = -45*f(u) - 2*y(u). Let d(n) be the first derivative of -n**2/2 + 23. Calculate l(d(m)). 5*m Let l(o) = o. Let g(r) = 488 - 60*r + 2*r**2 + 12*r + 472 - 988. Give l(g(f)). 2*...
{ "pile_set_name": "DM Mathematics" }
159*a - 29*a = -7385 + 2497 for a. 26 Solve -257*i + 146*i + 144 = -119*i for i. -18 Solve -8097*u + 2326*u = -717071 + 36093 for u. 118 Solve 5941 - 2968 = -77*i + 2973 for i. 0 Solve -518*z = -107*z - 71*z + 326*z + 39294 for z. -59 Solve 150*a + 468*a - 186*a + 230*a = -52298 for a. -79 Solve 4620 - 35079 = 781*f fo...
{ "pile_set_name": "DM Mathematics" }
. Solve i = 8*v - 3*v + 14, g = 4*i + 5*v for i. 4 Suppose z = -2*g + 61, -4*g + 4*z = 44 - 160. Solve 0*r = b + 5*r - 15, -g = -4*b - 5*r for b. 5 Let t(m) = m**3 - 12*m**2 - 41*m - 40. Let g be t(15). Solve 5*b - 5*w = 0, 2*b = -0*b - 2*w - g for b. -5 Suppose 6 = -4*p + 26. Let f(o) = 7*o - 10. Let r be f(2). Let a ...
{ "pile_set_name": "DM Mathematics" }
/(0 - 4)). Let z be (-2)/(f*(-4)/(-32)). Solve -5*u - z = -u for u. -4 Let k(m) = -m. Let l be k(-2). Let u be 165/45 - l/(-6). Solve 0*g - u*g = 0 for g. 0 Let c = 31 + -28. Solve -c*n + 1 = 4 for n. -1 Suppose 0*v + 3*v + 98 = 5*d, -3*d = v - 70. Suppose 0 = -d*r + 7*r + 45. Solve 0 = y + r*y + 8 for y. -2 Let l be 3...
{ "pile_set_name": "DM Mathematics" }
Let p be 1017/(-54) + 13 - -6. Let l be (6/(-15))/(2/(-20)). Which is smaller: p or l? p Suppose 150*i - 3988070 = -124*i. Which is greater: 14554 or i? i Suppose -16*d - 92*d + 324 = 0. Are 98/47 and d equal? False Suppose 208 + 157 = -l - 193. Are l and -0.13 non-equal? True Suppose 167*x - 172*x - 3*w + 40 = 0, 2*w...
{ "pile_set_name": "DM Mathematics" }
t l(d) = -d**3 + 5*d**2 + 8*d - 9. Let t be l(6). Solve 3*x = -12 + t for x. -3 Let z = 14 + -14. Solve -i - 4*i + 15 = z for i. 3 Let k(f) = f**2 + 6*f + 4. Let b be k(-6). Suppose 2*l + 0*z - z = 14, 0 = l + b*z - 16. Suppose l*y - 4 = 2*v + 3*y, 5*v + 2*y = 19. Solve -7 = 5*o + v for o. -2 Let b(g) = -g**3 - 2*g**2 ...
{ "pile_set_name": "DM Mathematics" }
x) = 2*x**3 + 7*x + 7. Determine j*d(f) + 7*g(f). 2*f**3 Let l(v) be the third derivative of v**4/6 + v**3/6 - v**2. Let c(b) = -5*b - 2 + 5 - 4. Determine 2*c(k) + 3*l(k). 2*k + 1 Let q(d) = 5*d + 2*d**2 + 2*d - d**2 - 6*d. Let a(h) = -h**3 + h**2 + h. Calculate -a(l) + q(l). l**3 Let z(d) = -d**2 - 4*d - 9. Let m(t) ...
{ "pile_set_name": "DM Mathematics" }
= z**2 - 20*z - 52. Calculate the remainder when 39 is divided by s(23). 5 Suppose -3*s = 2*s - 195. Calculate the remainder when s is divided by (12/15)/((-2)/(-50)). 19 Suppose q - 25 = -0*q. What is the remainder when q is divided by 14? 11 Suppose 2*l - 12 = 4*d, 0 = 5*l - 4*l - 5*d - 12. What is the remainder when...
{ "pile_set_name": "DM Mathematics" }
? 72 Suppose 0*b = -2*b + 8. Let x = 556 - 539. Suppose 165 - 29 = x*d. What is the least common multiple of b and d? 8 Suppose d - 561 = l, 4*l = 5*d - 2884 + 81. What is the smallest common multiple of d and 430? 5590 What is the least common multiple of (-4)/10 + 7/10 + 23895/1350 and 174? 522 Let m(i) = -i**2 - 7*i...
{ "pile_set_name": "DM Mathematics" }
4*m - 7 = -3. Let t be 0/m*1/2. Suppose 2*v + n - 7 + 2 = 0, 3*n + 1 = -2*v. Solve 0*j + v*j = t for j. 0 Let s = 3963 + -3945. Solve -2 = s*g - 92 for g. 5 Let l(x) = x**3 + 24*x**2 + 72*x + 60. Let w be l(-20). Solve 13*r + 31*r - w = 0 for r. 5 Suppose f - z = 0, -3*f - 2*z = -z - 8. Let n(j) = -4*j - 2*j**f + 7*j -...
{ "pile_set_name": "DM Mathematics" }
p(m) = -m**3 - 6*m**2 + m + 8. Let h be p(-6). Let o(x) = 15*x + x**3 + 10*x**h + 1938 + 0*x**3 - 1938. Is 9 a factor of o(-6)? True Suppose 0 = m + 2*m - 12. Suppose 0 = m*p - 3*p - 76. Let y = p + -52. Is 10 a factor of y? False Let u(s) = -51*s**3 + 5*s**2 + 5*s. Is u(-2) a multiple of 2? True Suppose -61*c + 3076 ...
{ "pile_set_name": "DM Mathematics" }
9 + 6/63. Let q = w + o. Solve -5*z - q = -0*z - s, -4*z - 2*s = -8 for z. 0 Let c = -810 + 814. Solve -z + 5*z + 8 = -u, 0 = c*z + 5*u - 8 for z. -3 Suppose -15*h + 18 = -12*h - 3*f, 3*f + 28 = 5*h. Solve 4*g = h*o - 10*o - 17, 2*g = 4 for o. -5 Let q = 18 + -6. Let c(i) = -i - 5. Let l be c(4). Let a = l + q. Solve 3...
{ "pile_set_name": "DM Mathematics" }
/8 - 4*h**3/3 + 36*h**2 - 3*h + 16. What is the third derivative of v(t) wrt t? -134736*t Let u(y) be the second derivative of -y**6/30 - y**5/20 + y**4/4 + 3317*y**2/2 + 3194*y. Find the first derivative of u(g) wrt g. -4*g**3 - 3*g**2 + 6*g Let t = 203 - 204. Let b(c) = -7*c**3 + 6*c**2 - 5*c + 48. Let v(g) = g**3 + ...
{ "pile_set_name": "DM Mathematics" }
rd smallest value in -4, 1.5, 8, 0.0429? 1.5 Which is the second biggest value? (a) 0.01 (b) 5 (c) -0.2 (d) 1/7 (e) 0 (f) -23/4 d Which is the fourth smallest value? (a) -0.124 (b) -0.05 (c) 1/41 (d) -0.13 c Which is the second biggest value? (a) -33.2 (b) 54 (c) 2/7 (d) 1 (e) 4 e What is the second bigg...
{ "pile_set_name": "DM Mathematics" }
te -2 + 2 + 2 + (-3 - 3). -4 What is -3 - (8 - (19 - 1))? 7 Calculate 0 - 4 - (-11 + -3 + 7). 3 What is the value of 6 - (-1 - -1 - 6 - -18)? -6 What is the value of 23 + -7 + -9 + -5 + -3? -1 7 + -1 - (6 - 4) 4 (8 - 2) + -6 - -4 4 Evaluate -2 - ((1 - (2 + 5)) + 10). -6 Calculate (0 - 1) + -2 + -3 + 2. -4 What is the v...
{ "pile_set_name": "DM Mathematics" }
{d: 1, z: 1, f: 14}. What is prob of picking 1 d and 1 z? 1/120 Two letters picked without replacement from rrwewerere. Give prob of picking 1 e and 1 w. 8/45 What is prob of picking 1 w, 1 j, and 2 u when four letters picked without replacement from jjuwujwwjujjju? 18/143 Four letters picked without replacement from h...
{ "pile_set_name": "DM Mathematics" }
of 20120 and 60360? 60360 Calculate the smallest common multiple of 8 and 312206. 1248824 What is the common denominator of -107/16632 and -79/425040? 3825360 Calculate the smallest common multiple of 1248 and 17160. 68640 What is the smallest common multiple of 32550 and 4? 65100 Calculate the common denominator of 95...
{ "pile_set_name": "DM Mathematics" }
1, g: 4}? 3/11 Two letters picked without replacement from {c: 9, i: 1, f: 2, y: 3, r: 3}. What is prob of picking 2 c? 4/17 What is prob of picking 2 w when two letters picked without replacement from {x: 1, w: 14}? 13/15 Four letters picked without replacement from {j: 12, c: 3}. What is prob of picking 3 c and 1 j? ...
{ "pile_set_name": "DM Mathematics" }
- 2*q - 428 = 0, 3*q - 194 = -2*j. Suppose 9*w = 4*w + 495. Calculate the lowest common multiple of j and w. 792 Let u be (-2 - 20/(-7))*119. Let p = 64 - u. Let w = p + 65. Calculate the lowest common multiple of 18 and w. 54 Let h = -714 + 716. Suppose -5*y + f = -45, -h*y + 2*f - 12 = -22. What is the lowest common...
{ "pile_set_name": "DM Mathematics" }
5))/(u*u*u**(-22))))**(-2/19) assuming u is positive. u**(302/855) Simplify (m**26*m*m)**(-6/25)*m**(2/11)*m**(-31)/m assuming m is positive. m**(-10598/275) Simplify ((l**(-3/2)*l/(l/l**(2/17)))/(l*l**2*l*l*l*l)**36)/(((l*l/l**(-2/11))/l*l)/(l**1*l)*(l/l**1)**(2/187)) assuming l is positive. l**(-94833/374) Simplify (...
{ "pile_set_name": "DM Mathematics" }
decimal places. 1.1 Round -0.00077565 to 5 dps. -0.00078 What is 0.000006082 rounded to six dps? 0.000006 Round 8076 to the nearest 1000. 8000 Round 0.014461 to 4 decimal places. 0.0145 Round -116100 to the nearest 1000. -116000 What is 840400 rounded to the nearest 100000? 800000 What is 289760000 rounded to the near...
{ "pile_set_name": "DM Mathematics" }
+ 40 = 51*z, -2*d - 4 = -3*z for z. 4 Solve y + o = -23, 0 = 3*o + 8790 - 8730 for y. -3 Solve -10*y + 15*g = 14*g + 32, 0 = -3*y - 3*g - 3 for y. -3 Solve 4*j + 6*f + 34 = 0, -2*j - 4*f - 12 = -6*f for j. -7 Solve -5*j + 45 = 4*w, 57*j - 36 = 61*j - 4*w for j. 1 Solve -2*c - 1 = k, 33681*c + 12 = -2*k + 33682*c for k...
{ "pile_set_name": "DM Mathematics" }
st value in -2, k, b? k Let y(g) = g**3 + 8*g**2 + 3*g - 5. Let j be y(-5). Suppose -5*h = 4*x + j, 5*x + h = -31 - 22. Let s be 16/30 + x/30. What is the smallest value in s, -3/7, 5? -3/7 Let w = 3 + -2.4. Let p = 0.5 - w. Let o(l) = l**3 + 9*l**2 - 11*l - 12. Let i be o(-10). Which is the second biggest value? (a) ...
{ "pile_set_name": "DM Mathematics" }
-6. -390331/2 -114 divided by 60065 -114/60065 -9585642 divided by -3421 2802 What is -2843 divided by 343? -2843/343 What is 45268864 divided by 10624? 4261 What is 361502499 divided by 120500833? 3 What is -324345142 divided by -22? 14742961 36 divided by 658431 4/73159 What is -117349884 divided by 36? -3259719 -93 ...
{ "pile_set_name": "DM Mathematics" }
alves of a microsecond in nanoseconds? 3500 What is 4215.967 milliseconds in seconds? 4.215967 How many years are there in 0.2300571 months? 0.019171425 How many micrograms are there in 1/5 of a milligram? 200 What is thirteen quarters of a litre in millilitres? 3250 How many centimeters are there in 91401.8 meters? 91...
{ "pile_set_name": "DM Mathematics" }
, -5 in ascending order. -72, -33, -5 Sort -8, 4, -13. -13, -8, 4 Sort -10, 7, -4, -5. -10, -5, -4, 7 Sort 1, 19, 5 in decreasing order. 19, 5, 1 Sort -3.21, 3/7, -3/5 in increasing order. -3.21, -3/5, 3/7 Put -4, -3/61, 0.1 in decreasing order. 0.1, -3/61, -4 Sort -4, -64, 18. -64, -4, 18 Sort -17, 2, -0.4 in ascendin...
{ "pile_set_name": "DM Mathematics" }
- 2. Let p = 5 - 11. What are the prime factors of l(p)? 2, 5 Suppose -b + k + 3 = 0, b - 5*k + 3 = -2*k. List the prime factors of b. 2, 3 Suppose w = -0*w. Let c be 0/(w + (-2)/(-1)). Let x(b) = b**3 + b**2 + b + 6. List the prime factors of x(c). 2, 3 Let s = 6 + -2. Suppose 0 = l + 4*d - 25, 3*l - 3 = 5*d + s. Supp...
{ "pile_set_name": "DM Mathematics" }
k(b) = 2*b + 2. Let t be k(-2). Let l(x) be the first derivative of 2370*x - 46 + 13 - 2367*x + x**2. Give l(t). -1 Let f be ((-34)/(-4) - -2)*32/6. Suppose 2*b + 60 = f. Let w(c) = -c**3 - c**2 + 2*c + 2. Calculate w(b). 2 Let y(b) = 86*b**2 + b - 87*b**2 - 82 + 2*b - 5*b. Give y(0). -82 Suppose 77*m - 81*m = -2*r + 6...
{ "pile_set_name": "DM Mathematics" }
u. 3840*g*u + 36*g - 18 What is the derivative of -12628*i**2*k + 640560*i**2 - i*k + k**3 + 4*k**2 wrt k? -12628*i**2 - i + 3*k**2 + 8*k What is the second derivative of 82553*t**3 - 2*t**2 + 293*t - 99? 495318*t - 4 Find the second derivative of -a**3*k**2 + 426*a**2*k + 37*a*k**2 + 4*a*k + 2*k**2 + 2*k wrt a. -6*a*...
{ "pile_set_name": "DM Mathematics" }
6 Suppose -4*o = -4*f - 1489146 - 356514, 1845645 = -4*f + o. Round f to the nearest one hundred thousand. -500000 Let c = 16 + 562. Let v = c - 577.999999681. What is v rounded to 7 dps? 0.0000003 Let d = -394 + 394. Suppose 0 = -5*a - 5*u + 4820005, -u + 7 - 6 = d. Round a to the nearest 100000. 1000000 Suppose 4*h +...
{ "pile_set_name": "DM Mathematics" }