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d**5/15 - 24*d**2. Let j(h) be the third derivative of k(h). Let u(q) = -3*q**2 + 1 - 1. Give j(u(n)). -135*n**4 Let i(d) = d**2. Suppose 5*f - 41 = -2*w, -3*f - 2*w + 3 + 24 = 0. Let v be ((-32)/(-10))/(f/35). Let j(s) = -11 + 5 + v*s + 6. Give i(j(t)). 256*t**2 Let p(g) be the third derivative of 0 + 0*g + 0*g**4 + 1...
{ "pile_set_name": "DM Mathematics" }
(z(i)). 3924*i + 1527 Let v(i) = -2*i**2. Let f(k) be the second derivative of -8*k**4 - 94*k - 7. Calculate f(v(d)). -384*d**4 Let x(c) = -5*c**2. Let k(q) = 19*q**2 - 49*q**2 - 38*q**2 - 17*q**2. Calculate k(x(o)). -2125*o**4 Let g(u) = 43*u**2 + 59233 - 13*u**2 - 59233. Let y(s) = -87*s + 3. What is g(y(w))? 227070*...
{ "pile_set_name": "DM Mathematics" }
lify ((4 + sqrt(2448) + 2*sqrt(2448))*6*6 - (2*sqrt(2448) + -2 + (-2 + sqrt(2448))*-4))**2. 364320*sqrt(17) + 29639844 Simplify (-3 + 1*sqrt(27)*4)*6 + 2 + (1 + sqrt(972))**2 + -4. 108*sqrt(3) + 953 Simplify -3 + -4 + (3*sqrt(432))**2*-1 + ((2 + sqrt(432) - sqrt(432) - sqrt(432)) + -3 - sqrt(432)) + -1. -3897 - 24*sqrt...
{ "pile_set_name": "DM Mathematics" }
out replacement from {c: 2, q: 4, a: 2, e: 2}. Give prob of sequence cca. 1/180 Three letters picked without replacement from qccdldldqqdlqllqllc. Give prob of sequence lld. 28/969 Three letters picked without replacement from iiqiiiiiiiqqiiiiiqii. Give prob of sequence iiq. 8/57 Calculate prob of sequence aao when thr...
{ "pile_set_name": "DM Mathematics" }
ide f(9)? True Suppose 4*n = -83 + 263. Is n a multiple of 10? False Suppose 24 = -0*c - 4*c. Let p be (-3)/(c + 0)*36. Suppose 0 = 2*j + j - p. Is 4 a factor of j? False Suppose 0*m + n - 161 = -5*m, -4*n = 16. Is m a multiple of 5? False Let n be (8 - 5)/((-1)/9). Let c = 39 + n. Is c a multiple of 12? True Is 13 a f...
{ "pile_set_name": "DM Mathematics" }
a**2 + 11*a - 7. Let f be h(-11). Let v = f + 10. Suppose o = v*o - 2. Let k(m) = 10*m - 1. What is k(o)? 9 Let d(p) = -5*p - 4. Let l(f) = -4*f - 3. Suppose 3*c = -10 - 8. Suppose 770*b - 63 = 761*b. Let y(z) = b*l(z) + c*d(z). Determine y(-3). -3 Let j(p) = -5*p**2 - 7*p + 23. Let h(g) = -2*g**2 - 4*g + 11. Suppose 3...
{ "pile_set_name": "DM Mathematics" }
6 PM and 3:41 AM? 605 How many minutes are there between 8:27 AM and 5:46 PM? 559 What is 159 minutes after 9:06 AM? 11:45 AM How many minutes are there between 11:17 PM and 9:05 AM? 588 How many minutes are there between 7:07 PM and 11:50 PM? 283 How many minutes are there between 12:11 PM and 1:49 PM? 98 What is 6 mi...
{ "pile_set_name": "DM Mathematics" }
168796, 330047, 570672, 906547? 1353548 What is next in -7696, -7842, -7990, -8140, -8292? -8446 What is the next term in 8980, 72103, 243432, 577069, 1127116, 1947675, 3092848, 4616737? 6573444 What is the next term in 2482, 5127, 7808, 10543, 13350, 16247? 19252 What comes next: -110822, -221591, -332360? -443129 Wha...
{ "pile_set_name": "DM Mathematics" }
Let h(l) = 5 - 6 + 2. Determine 6*h(v) + q(v). v**3 - v**2 + 1 Let a(m) = 6*m**2 - 17*m + 3. Suppose -3*c + 6 = 0, -2*i - 4*c = 2 - 22. Let f(t) = 2*t**2 - 6*t + 1. Determine i*a(g) - 17*f(g). 2*g**2 + 1 Let z(f) = -f + 35. Let x(j) = 7. Give -22*x(k) + 4*z(k). -4*k - 14 Let s(u) = -11*u**3 + 17*u**2 + 17*u + 17. Let ...
{ "pile_set_name": "DM Mathematics" }
s the k'th term of 201143, 201034, 200925, 200816, 200707, 200598? -109*k + 201252 What is the r'th term of -612, -4901, -16532, -39177, -76508, -132197, -209916, -313337? -612*r**3 + r**2 - 8*r + 7 What is the b'th term of 37663, 37747, 37905, 38143, 38467, 38883, 39397? b**3 + 31*b**2 - 16*b + 37647 What is the l'th ...
{ "pile_set_name": "DM Mathematics" }
8*j**2 - 19377*j - 42450 = 0. What is j? -2, -1, 1, 25, 283 Let 22*v**3/5 - 2784*v**2/5 + 17766*v - 47628/5 = 0. Calculate v. 6/11, 63 Factor 3*y**3 + 7644*y**2 + 756279*y + 19086138. 3*(y + 51)**2*(y + 2446) Find a such that 3*a**4 - 2895*a**3 + 14334*a**2 + 63312*a + 46080 = 0. -2, -1, 8, 960 Factor -f**2 + 1486*f + ...
{ "pile_set_name": "DM Mathematics" }
cking 1 z and 3 l when four letters picked without replacement from {s: 4, k: 1, z: 2, l: 10}. 12/119 Two letters picked without replacement from {o: 3, e: 3}. What is prob of picking 2 o? 1/5 Calculate prob of picking 2 e when two letters picked without replacement from {j: 6, x: 2, e: 2, d: 8}. 1/153 What is prob of ...
{ "pile_set_name": "DM Mathematics" }
e closest to -2 in -4, 5, -1488? -4 Which is the nearest to 0? (a) 1 (b) 2 (c) -2/105 (d) -5 c Which is the nearest to 2/3? (a) -2 (b) -0.142 (c) 2 (d) -1 b What is the nearest to 0 in 0.07, 1.9, -4? 0.07 Which is the closest to -1/3? (a) -21 (b) -17 (c) 1 (d) 3 c What is the closest to -1 in -0.1, 4/7, -0....
{ "pile_set_name": "DM Mathematics" }
) Simplify ((n**(-2/13)/(n*n**(2/45)/n))/(n**(16/5)*n**(-10)))**(-2/131) assuming n is positive. n**(-7724/76635) Simplify ((h**(-1/5)*h*h**(-1/7)*(h**(-1/2))**(-6/7))**(-2/25))**(-1/39) assuming h is positive. h**(76/34125) Simplify (p**3/p*p**(-6))**45/(p**(1/6)/(p/((p/p**(-4))/p))*p**0*p**(-4)/p) assuming p is posit...
{ "pile_set_name": "DM Mathematics" }
-89*h**2 Let j(i) = -24*i**2. Let g(w) = -4606*w**2 + 2298*w**2 + 2298*w**2. Calculate j(g(m)). -2400*m**4 Let m(r) = -107*r + 2. Let l be m(-1). Let b(y) = -l + 109 - 13*y. Let k(d) = 7*d + 12. Let t(v) = -2*v - 3. Let z(c) = -k(c) - 4*t(c). Calculate z(b(j)). -13*j Let x(v) = -21*v + 1. Let g(t) = -568*t - 4. Let y(...
{ "pile_set_name": "DM Mathematics" }
0 is divided by 531. 499 What is the remainder when 144428 is divided by 549? 41 What is the remainder when 99213940 is divided by 2610893? 6 What is the remainder when 225373 is divided by 1644? 145 What is the remainder when 3198187 is divided by 1599087? 13 What is the remainder when 4768502 is divided by 821? 134 C...
{ "pile_set_name": "DM Mathematics" }
.4937 Convert 213.55407us to hours. 0.000000059320575 Convert 738.4762 meters to nanometers. 738476200000 What is fourty-six fifths of a gram in milligrams? 9200 How many millimeters are there in 3/40 of a meter? 75 How many years are there in 8.607636 centuries? 860.7636 How many minutes are there in 13/4 of a day? 46...
{ "pile_set_name": "DM Mathematics" }
Let a be (160/12)/(-5)*(-121530)/8. Suppose 0*w + a = 10*w. Is w composite? False Suppose -6 + 1 = -5*t. Let x(m) = m + 5. Let o be x(t). Suppose o*q - 9*q + 1401 = 0. Is q composite? False Suppose 5*w - 3 = -73. Let v be ((-4)/w - 121/154)*-10. Suppose -v*n - 6*c + 8190 = -c, n + 4*c = 1635. Is n a composite number? ...
{ "pile_set_name": "DM Mathematics" }
4. Let s = a + -0.2. Let b = 5.4 + -5.8. What is the smallest value in b, -3, s? -3 Let v = 0.03 + 1.97. Suppose 2*h = -21 + 59. Let i = h - 15. What is the second smallest value in 0.2, v, i? v Let u = -11.6 - -10. Let f = -2.1 - u. Let t = 87/2 - 785/18. What is the smallest value in 0.5, t, f? f Let v = -2 - -3. Let...
{ "pile_set_name": "DM Mathematics" }
1. What is the closest to l in z, 1/10, -3? 1/10 Let n = 0.3 + -0.3. Let v(m) = m**2 + 8*m + 10. Let a be v(-5). What is the closest to n in -2, a, 0.2? 0.2 Let i = -0.21 + 0.3. Let q = 3.09 - i. Which is the closest to 0? (a) -2/11 (b) q (c) -0.1 c Let z = -446/3801 - -4/181. Let v = -1.5 - -1. Let p = v - -1. Whic...
{ "pile_set_name": "DM Mathematics" }
be 13/(-52) - (-2)/8. Suppose v = 5*r - 20, 0 = -g + 4*r + 4 + 4. What is the tens digit of g? 2 Let o(l) = -l**2 - 5*l + 8. What is the units digit of o(-5)? 8 Suppose 2*h + h = 0. Suppose 4*b - 54 + 14 = h. Suppose 0 = -3*m + b + 2. What is the units digit of m? 4 Suppose 3*m - 4*m = -4. Suppose -4*z = -m*k + k + 17,...
{ "pile_set_name": "DM Mathematics" }
1 - 2 + 1)*(-1 - 1 + 3) + (-4 - 92 - 16)*(-1 + 0 + 2)). 228*a Expand (0 + 2 - 1)*(3*b + 0*b - b) - 12*b - 1 + 43*b - 21*b - 2*b - 3*b + 7*b + (-1 + 0 + 2)*(5*b - b - 3*b) - 4*b + 2*b + 4*b + (3*b - 2*b + b)*(-4 + 7 + 1). 25*b - 1 Expand (0 + 0 + 2*r)*(-6*r**2 - 2 - 2 + 9*r**2)*(-3*r + 0*r + 2*r + 2*r - 4*r + r + (15 + ...
{ "pile_set_name": "DM Mathematics" }
7003/7 + -997. Solve -p*o + 8/7 - 54/7*o**2 = 0. -2/3, 2/9 Let h(g) be the second derivative of 0*g**3 - 5*g + 0*g**4 + 0 + 1/20*g**5 + 0*g**2. Suppose h(l) = 0. What is l? 0 Factor 108 - 1/2*o**3 - 54*o + 9*o**2. -(o - 6)**3/2 Let b(m) be the third derivative of -1/60*m**4 + 0*m**3 + 0*m + 0 - m**2 - 1/150*m**5. Supp...
{ "pile_set_name": "DM Mathematics" }
es 501? -30.3458706 -73.7*0.150309 -11.0777733 Multiply -805263 and 15. -12078945 What is 32 times 10648374? 340747968 Calculate -82*-0.0414477. 3.3987114 47018520*0.3 14105556 0.33 times -24635064 -8129571.12 5385 * -3735 -20112975 What is -1 times -737633? 737633 1.66089 times -58 -96.33162 What is -48441 times -49? ...
{ "pile_set_name": "DM Mathematics" }
t v be (-2)/(((-24)/(-9))/(-4)). Suppose 0 = -2*f + 1 + v. Solve -x*i = -j - 11, f*i - 26 - 5 = 5*j for i. 3 Let z(b) = b**3 - 7*b**2 + 2*b - 9. Let f be z(7). Suppose -5*j + 0 = 3*w + 3, -3*j + 3 = 3*w. Solve f*u = -w*g + 21, -4*u + g - 3*g = -18 for u. 5 Let t(r) = -5*r - 4. Let k be t(-2). Let o(n) = -2*n + 15. Let ...
{ "pile_set_name": "DM Mathematics" }
(-56*t - 40*t + 53*t)*(2 - 2 + 2*t). 172*t**5 Expand 3*t**4 - t**4 + 0*t**4 + (2*t**2 - t**2 + 0*t**2)*(4*t**2 - t**2 - 4*t**2) - 3*t**4 + 3 - 3 + 3084 - 3084 - 35*t**3 - 2*t**4. -4*t**4 - 35*t**3 Expand (2*d - 3*d - 2*d + (1 + 1 - 1)*(-3 + 2*d + 3) - 2 - d + 2 + (-2*d - d + d)*(-1 - 1 + 0))*(-d**3 - d**3 - 14*d**3). -...
{ "pile_set_name": "DM Mathematics" }
9. What is the closest to 0 in 0.6, w, -3? w Let x = -4.1 + 4.2. Let g = -0.49 + 0.99. Which is the closest to 0? (a) g (b) x (c) -1 b Let y = 8 - 13. Let m = 0.52237 + -0.02237. What is the nearest to -0.04 in y, -1/2, m? -1/2 Let u = 10877 - 10923. What is the closest to 1 in u, -4, -0.2, -3? -0.2 Let w = -9.24 + ...
{ "pile_set_name": "DM Mathematics" }
Solve -245*l + 1580 - 400 = -9*l for l. 5 Solve 357*s + 8260 = -56*s for s. -20 Solve 17*v + 369 + 27 = -27*v for v. -9 Solve -170 = 2202*q - 2192*q for q. -17 Solve 1106 = 504*z + 638*z - 12598 for z. 12 Solve 13 = 9871*u - 9872*u for u. -13 Solve 0 = -32*z + 54 - 22 for z. 1 Solve -85*l + 36*l + 294 = 0 for l. 6 Sol...
{ "pile_set_name": "DM Mathematics" }
**3 + 5*a**2 + 9*a + 12. Let o be f(-3). Let j be m(o). Solve -j*u + 6 = -u for u. 3 Let m be (-2)/(8/(-30))*(-12)/(-15). Let a be (-8)/m*(-9)/(-6). Let o be ((-4)/a)/(18/45). Solve 0 = -g - o + 4 for g. -1 Suppose 87 = -24*w + 89*w - 36*w. Suppose 0 = 5*j - 5 - 25. Solve s + j = w*s for s. 3 Let u(o) = -o**3 + 7*o**2 ...
{ "pile_set_name": "DM Mathematics" }
o base 9. -5482640 Convert -3557408 (base 10) to base 6. -204125252 What is -206622 (base 8) in base 9? -114587 -b4ebb (base 16) to base 15 -e9886 1085262 (base 9) to base 5 122302132 What is -33041151 (base 6) in base 15? -146dcd What is 3245476 (base 8) in base 13? 246729 Convert -1430433204 (base 5) to base 10. -376...
{ "pile_set_name": "DM Mathematics" }
by 24 -2 -297 divided by 3 -99 5335 divided by -1067 -5 Divide -1419 by -3. 473 -1852 divided by -3 1852/3 Divide 25 by -25. -1 What is 5 divided by 3913? 5/3913 -2 divided by 393 -2/393 3 divided by -14 -3/14 Divide 10 by 150. 1/15 Calculate 18 divided by -9. -2 -10245 divided by 5 -2049 Divide 0 by 24. 0 Divide -983...
{ "pile_set_name": "DM Mathematics" }
site number? False Is 58747402261 a composite number? False Is 15360911857 composite? False Is 103612160933 a composite number? False Is 110713033 prime? False Is 160414939 composite? False Is 43912263691 a composite number? False Is 10136312257 a composite number? False Is 20264905357 prime? False Is 8589252809 prime?...
{ "pile_set_name": "DM Mathematics" }
f*n**2 + i*n**3 + r + d*n and give d. 8 Rearrange (-11*t + 1 + 20*t + 10*t)*(1 + 6 - 4) to v + n*t and give n. 57 Rearrange (3 - 3 + x)*(-1 - 4 + 0)*(-3 + x + 3)*(20 - 20 + 21*x)*(0 - 2 + 0) to the form i*x**2 + j*x + t + o*x**3 and give j. 0 Rearrange (-2*y - 4*y + 5*y + y + 2*y - 5*y + (2 + 1 - 2)*(-2*y - 1 + 1))*(0...
{ "pile_set_name": "DM Mathematics" }
*o. Factor s(g). -(g - 1)*(g + 1)/5 Let z(l) be the third derivative of -l**5/120 - 37*l**4/8 - 4107*l**3/4 - 742*l**2. Factor z(o). -(o + 111)**2/2 Let g(r) = 2*r**2 - 140*r + 2453. Let o be g(34). Let s(h) be the first derivative of -5/2*h**2 + h**3 + 3 + 1/4*h**4 - 1/5*h**o + 2*h. Factor s(n). -(n - 1)**3*(n + 2) Le...
{ "pile_set_name": "DM Mathematics" }
ct of 355.953 and -3. -1067.859 Multiply 2147 and -8. -17176 Calculate 0.44*278. 122.32 Product of 1016547 and -0.5. -508273.5 31486 times -0.5 -15743 What is 0 times 63652? 0 What is the product of -0.039154 and -1.4? 0.0548156 What is -101.66 times -50? 5083 2.465 * 27 66.555 -3.5*-0.0812 0.2842 Product of 44.9 and -...
{ "pile_set_name": "DM Mathematics" }
**2. Let b(f) be the third derivative of -1/24*f**4 - f**2 + 0 + 0*f + 0*f**3. Calculate s(b(c)). -2*c**2 Let x(u) = -u**3 - 7*u**2 - u - 5. Let a be x(-7). Let p(j) = j - j + a*j - j. Let z(s) = -2*s. Give z(p(i)). -2*i Let a(n) = -22*n. Let l(c) = -4*c - 11. Calculate a(l(o)). 88*o + 242 Let k(o) be the second deriva...
{ "pile_set_name": "DM Mathematics" }
980 divided by -49. -20 What is 52 divided by 5? 52/5 Divide -28 by -14. 2 Divide -2 by -1607. 2/1607 12 divided by 7 12/7 What is -1650 divided by -330? 5 -593 divided by 6 -593/6 Calculate 50 divided by 6. 25/3 What is 3 divided by -206? -3/206 What is 32 divided by 2? 16 Calculate -126 divided by -14. 9 -984 divide...
{ "pile_set_name": "DM Mathematics" }
-3*i + 3*g - 444 = 0. Let q = i - -343. Is 3/9*(3 + q) prime? True Let d(a) = 918*a**2 - 22*a - 89. Is d(9) a composite number? False Let i(b) = 9450*b**2 + 14*b - 30. Let u be i(3). Suppose -2*l + u = 4*s, -3*s + l + 18216 = -45568. Is s prime? False Let d(r) = -27*r - 2. Let y be d(-1). Let g(l) = 15*l + 29 - 16*l + ...
{ "pile_set_name": "DM Mathematics" }
2 = i - 2*h, -224*h - 532 = 2*i - 254*h for i. 4 Solve v - 1 = 4*o, -2*o + 81 = 2*v + 59 for o. 2 Solve -2*p + 2*j + 20 = 0, 2*p - 215*j + 214*j = 15 for p. 5 Solve 0 = 4*d + 4*n + 4, 0 = 2*d + 5*n + 206 - 204 for d. -1 Solve r = 2*z + 15, -2*r + 3*r = -2*z - 5 for r. 5 Solve 9*h = -j + 11*h - 4, -5*j = 2*h - 4 for j. ...
{ "pile_set_name": "DM Mathematics" }
ve u(c(h)). -26244*h**4 Let a(w) = -30962*w. Let u(n) = 5*n**2 + 35. Calculate a(u(h)). -154810*h**2 - 1083670 Let m(u) = -104*u. Let s(b) = -6*b - 9*b + 3*b - 18 + 14*b. Let i(t) = -t + 8. Let z(n) = 9*i(n) + 4*s(n). Determine m(z(l)). 104*l Let w(m) be the first derivative of -7*m**4/12 + 41*m + 33. Let p(h) be the f...
{ "pile_set_name": "DM Mathematics" }
-44)/(-60) - (-35)/(-25). What is the nearest to -0.3 in m, y, -2? m Let t = 41.949 + -42. Let q = -4.051 - t. What is the closest to 0 in -0.2, q, 2/9? -0.2 Let v be 12/(-5) - (20/(-4) + 3). Which is the nearest to v? (a) -3 (b) -24 (c) 0 c Let g = -649.9 + 650. Let k = -0.1 - -0.1. Which is the nearest to k? (a) ...
{ "pile_set_name": "DM Mathematics" }
-6) + 10 + -5? 7 -3 + 3 + -1 + 2 - 1 0 -21 + 3 + 7 + 4 -7 What is 4 - 0 - (12 + -4)? -4 What is the value of 2 + -2 - (-2 + 3) - -2? 1 1 - (4 + 1 + -1) -3 Calculate -13 + 5 + -10 + 12. -6 What is the value of -13 + (9 - (-3 + 5 + 1))? -7 What is -11 - -8 - -2 - 3? -4 Evaluate (8 - 3) + (1 - 6). 0 (1 - 7) + 14 + -3 5 3...
{ "pile_set_name": "DM Mathematics" }
= n. List the prime factors of j(q). 2, 7 Suppose -42*z + 43392 + 49218 = 0. List the prime factors of z. 3, 5, 7 Let b(u) = 5*u**2 + 7*u - 8. List the prime factors of b(14). 2, 5, 107 List the prime factors of 16 + -23 - -3*44. 5 Suppose 5*v = 3*v - 2*c + 28, 0 = -v - 4*c + 11. Suppose v*d - 114 = 12*d. What are the...
{ "pile_set_name": "DM Mathematics" }
*2 Expand (1305 - 4559 - 3476 - 9974 + 447)*(r**3 - 3*r**2 + 3*r**2)*(-3 + 1 + 4). -32514*r**3 Expand (-1 + 1 - 2*k)*(6 - 2 - 2) - 50*k + 66*k - 167*k + (2*k + 6 - 6)*(0 - 3 + 0). -161*k Expand (0*b**2 + b**2 - 4*b**2)*(26*b**3 - 43*b**2 + 24*b**3 - 49*b**3). -3*b**5 + 129*b**4 Expand 25*p**2 - 16*p**2 - 16*p**2 + (-p ...
{ "pile_set_name": "DM Mathematics" }
*3 + 3*v**3)*(2*v**2 - 2 + 2) + v**5 + 0*v**5 + v**5 + 10*v**5 + 3 - 3. 3*v**5 Expand (-24*q + 3*q**4 + 24*q)*(2 - 2 - 1). -3*q**4 Expand (p**3 + p**3 - 5*p**3)*(-5 + 0 + 2) - 3*p**3 - 3 + 3 + p**3 - 3*p**3 + p**3 + (1 + 4 - 4)*(-p + p + 2*p**3) - 4*p**2 + 4*p**2 + p**3. 8*p**3 Expand (-g - 2*g**2 + 4*g**2 - g**2)*(17*...
{ "pile_set_name": "DM Mathematics" }
1184237179158338/7 = 0 for o. -24333487 Solve y**4 + 1049*y**3 + 5211*y**2 - 9441*y - 46980 = 0 for y. -1044, -5, -3, 3 Solve -4*d**4 + 7915872*d**3 - 5221689131520*d**2 + 1148103229685833728*d + 27557485314830106624 = 0 for d. -24, 659664 Factor 8862050*w**3 + 6229970630*w**2 - 35515488*w + 50616. 2*(w + 703)*(2105*w ...
{ "pile_set_name": "DM Mathematics" }
what is -24 + -5034? -5102 In base 10, what is 5 - -8709? 8714 In base 15, what is -37ad7 - -2? -37ad5 In base 16, what is f8b + 16? fa1 In base 15, what is -1 - -7177? 7176 In base 5, what is -40000 - -13? -34432 In base 12, what is 5011 - 1? 5010 In base 7, what is -31605564 - -3? -31605561 In base 5, what is 1113003...
{ "pile_set_name": "DM Mathematics" }
x Let l be 2/((-4)/549) + 3/(-6). Let a = l - -274. Let n be (-3)/9 + 5/(-3). Put a, -0.4, n in increasing order. n, a, -0.4 Suppose 85 = 6*c - c. Suppose 2*p = -3*v - c, 14 = 2*p - 5*v - 9. Suppose 162*u + 16*u - 20*u = -41*u. Sort 5, 4, p, u in decreasing order. 5, 4, u, p Let v = 8995 + -9000. Put 3, v, -1416 in des...
{ "pile_set_name": "DM Mathematics" }
6 What is the third derivative of -2835*p**3 + 4548*p**2 wrt p? -17010 What is the third derivative of -33*r**3 + 12*r**2 - 2*r wrt r? -198 What is the first derivative of 220*p**3*v + 45*p**3 + 2*p**2 wrt v? 220*p**3 Differentiate -53*o**2*r**2 + o - 632*r**2 with respect to o. -106*o*r**2 + 1 What is the first deriva...
{ "pile_set_name": "DM Mathematics" }
st to 0.143 in -92, -44, 0.2? 0.2 Which is the closest to 1? (a) 2/15 (b) -7 (c) -10 (d) 0.843 (e) 15 d What is the closest to -2 in 24, 4, 32.35? 4 What is the closest to 0 in 702750, 10, -5/4? -5/4 What is the nearest to -1/2 in 1/64, 3013, -0.4? -0.4 What is the closest to 25 in -493/35, -2, 2/11, 4? 4 What is ...
{ "pile_set_name": "DM Mathematics" }
3*j**2*m + 506*b**3*j**2 - 28*b**3*j + 2354*b**3*m + 2*b - 14*j*m wrt m? -b**3*j**2 + 2354*b**3 - 14*j What is the second derivative of -2*g**5 + 183*g**4 - 2*g**2 - 9*g + 73? -40*g**3 + 2196*g**2 - 4 Find the third derivative of -11*l*o**6*y + 6*l*o**2*y - l*o*y + 240*o**6 - 22*o + 20*y wrt o. -1320*l*o**3*y + 28800*o...
{ "pile_set_name": "DM Mathematics" }
Let r(l) = l - 5. Let g(y) = -1. Let u(j) = -6*g(j) + r(j). Let c be (-1)/(-2*(-2)/(-28)). What is the units digit of u(c)? 8 Let v = -8 + 19. What is the units digit of v? 1 Let g(z) = -55*z + 1. Let j be g(-1). Let t = j + -25. What is the tens digit of t? 3 Let p = 2 - -40. Suppose -2*v = v - p. What is the units d...
{ "pile_set_name": "DM Mathematics" }
first derivative of -9*z**7/7 - 8*z**3/3 - 6. Find the third derivative of a(m) wrt m. -1080*m**3 Let k(d) be the third derivative of 7*d**4/24 + 5*d**3/6 + 3*d**2. Find the first derivative of k(z) wrt z. 7 Let n(h) = 1. Let o(v) = 16*v + 17. Let u(b) = -3*n(b) + o(b). What is the first derivative of u(g) wrt g? 16 L...
{ "pile_set_name": "DM Mathematics" }
3*g - 4*z - 19 = 0. Suppose -g*w + 35 = -p, w - 5*w + p + 28 = 0. Let r(n) = -n**2 + 11*n - 5. Is r(w) a multiple of 5? False Suppose -7*d + 16*d - 27 = 0. Suppose m - 2*t - 216 = 0, 0*m + 663 = d*m - t. Does 27 divide m? False Let j(r) = 0 + 13*r + 2 - 4. Let y be j(1). Suppose -q - y + 43 = 0. Is 16 a factor of q? T...
{ "pile_set_name": "DM Mathematics" }
: 1}. What is prob of picking 1 p, 1 c, 1 h, and 1 t? 32/4845 What is prob of picking 1 w and 2 k when three letters picked without replacement from kzzykzzzkkkzkzkkkhzw? 3/95 Four letters picked without replacement from riyiyiyriirirryrir. What is prob of picking 2 i and 2 y? 7/170 What is prob of picking 4 y when fou...
{ "pile_set_name": "DM Mathematics" }
-9) + 4 + (-70)/15 a multiple of 13? True Let i(b) = 4*b + b - 1 - 2*b. Let l be i(1). Suppose -3*x - x = 3*p - 196, -l*x = 3*p - 98. Is x a multiple of 17? False Let m = 32 + -11. Is 16 a factor of m? False Let w(z) = 11*z**3 + 2*z**2 - 5*z + 2. Does 33 divide w(2)? False Suppose -2*y + 110 = -a + 5*a, 0 = 2*a - 4*y -...
{ "pile_set_name": "DM Mathematics" }
4 = -t + 22, 12 = 3*t for y. -4 Solve -2*y + n = 2 + 7, 0 = 5*y - n + 21 for y. -4 Solve 16 = -0*q - 2*q - 2*x, -2*x = 4*q + 26 for q. -5 Solve 4*p + 12 = 2*v, -v - 3*v - 4 = -p for v. -2 Solve g = -1, -3*v + v - 5*g + 5 = 0 for v. 5 Solve k = l - 5*l - 5, 0 = -3*l - k - 5 for l. 0 Solve -2 = -4*n - r, -2*r - 17 + 21 =...
{ "pile_set_name": "DM Mathematics" }
f v(c) wrt c. 2 Let h be 0 - (1 - (0 - -1)). Suppose v + h - 2 = 0. Find the second derivative of -2*f**2 + 2*f**v - 3*f**2 + 4*f wrt f. -6 Let c(z) = 2*z**3 - z**2 + 2*z. Let o = -1 + -4. Let h(d) = 4*d**3 - 2*d**2 + 5*d. Let k(m) = o*c(m) + 2*h(m). What is the third derivative of k(x) wrt x? -12 Let f(v) = v**5 - v**...
{ "pile_set_name": "DM Mathematics" }
7 = 0, -8*u - 75 = 3*y for u. -9 Solve -3*a - 4*l = -7*l + 9, -2 = 2*a + 2*l for a. -2 Solve 3*p + 11*a + 19 = 0, -2*p + 9*a = 13*a + 6 for p. 1 Solve -3*f - 5 = -2*i, 9*f + 2*i - 36 = -91 for f. -5 Solve 8*o - 35*k - 28 = -38*k, -4*o - 2*k = -16 for o. 2 Solve 382*r + 2*k - 14 = 380*r, -2*r - 34 = -4*k for r. -1 Solve...
{ "pile_set_name": "DM Mathematics" }
t is 576 minutes before 5:10 PM? 7:34 AM How many minutes are there between 11:43 PM and 5:49 AM? 366 What is 345 minutes before 4:42 AM? 10:57 PM How many minutes are there between 12:58 PM and 1:57 PM? 59 What is 520 minutes before 11:05 AM? 2:25 AM How many minutes are there between 12:20 PM and 6:20 PM? 360 What is...
{ "pile_set_name": "DM Mathematics" }
12542*u**3 + 502*u**2 - 4*u + 16? -24*u + 675252 What is the third derivative of -255335*g*v**3 + 1493*g*v**2 + g*v - 3*g + 1 wrt v? -1532010*g What is the third derivative of 2041*d*m**4 - 6342*d*m**2 - 4*d - 7*m**6 + m**3 - m**2 wrt m? 48984*d*m - 840*m**3 + 6 Find the first derivative of 35*n**2*w + 2210907*n**2 - 7...
{ "pile_set_name": "DM Mathematics" }
). Suppose -94 = -3*v - u. Is v a multiple of 26? True Suppose -2*x + 13*z = 9*z - 1804, 2718 = 3*x - 3*z. Is 36 a factor of x? False Suppose -107*v = -109*v + 518. Does 9 divide v? False Let a(t) = -t**2 - t. Let r be a(0). Let q(j) = 285*j**3 + j**2 - j + 1. Let i be q(1). Suppose 5*l - i + 81 = r. Does 20 divide l? ...
{ "pile_set_name": "DM Mathematics" }
75 - 268. Let q = 28 - 17. Calculate the smallest common multiple of w and q. 77 Let t(f) = -241*f + 6299. Let o = -350 - -761. What is the least common multiple of o and t(26)? 4521 Let b be (-9552)/24 - 3/(6/4). Let d = -3225/8 - b. What is the common denominator of -43/14 and d? 56 Find the common denominator of 109...
{ "pile_set_name": "DM Mathematics" }
- -0.89. What is s rounded to seven dps? 0.0000014 Let n = -2073.020025 + 2073. What is n rounded to 3 decimal places? -0.02 Let l = -6998431889504.3 - -6998429649319.37999992. Let w = -2240185 - l. Let b = 0.08 + w. Round b to 7 decimal places. 0.0000001 Let g = 5.001 + -4.75. What is g rounded to two dps? 0.25 Let d...
{ "pile_set_name": "DM Mathematics" }
1880, 1525? g**3 - 46*g**2 - 2*g + 2560 What is the g'th term of 65, 114, 237, 470, 849, 1410? 6*g**3 + g**2 + 4*g + 54 What is the u'th term of 3057, 3387, 3717, 4047, 4377, 4707? 330*u + 2727 What is the d'th term of 4097, 16381, 36855, 65519, 102373, 147417? 4095*d**2 - d + 3 What is the n'th term of -7437, -7422, ...
{ "pile_set_name": "DM Mathematics" }
4 - 3*u - 1/6*u**3 + 3/2*u**2. Let p(i) be the first derivative of f(i). What is the derivative of p(x) wrt x? -6 Find the second derivative of 25 + 36*f + 62*f**2 + 7*f + 71*f - 26 wrt f. 124 Let a(y) be the third derivative of 0 - 5/12*y**5 + 1/3*y**6 + 1/105*y**7 + 0*y**4 + 2*y + 13*y**2 + 0*y**3. What is the third ...
{ "pile_set_name": "DM Mathematics" }
1))/sqrt(7)*-6. -27*sqrt(3)/2 Simplify 6*sqrt(44)*1*5 + 1*sqrt(5324)*-5. -50*sqrt(11) Simplify (sqrt(70) + (sqrt(70) - (sqrt(70) + (sqrt(70) - (sqrt(70) - (sqrt(70) + sqrt(70)*-2))*-2 - sqrt(70)))) + sqrt(70))/(sqrt(10) + -4*-4*sqrt(10))*4. -8*sqrt(7)/17 Simplify (sqrt(119)*1*-4*6)/(sqrt(7)*-2*3 - (sqrt(7) + -3*sqrt(63...
{ "pile_set_name": "DM Mathematics" }
of picking 1 i, 1 p, 1 r, and 1 d when four letters picked without replacement from {s: 2, i: 2, r: 1, d: 5, y: 1, p: 2}. 4/143 What is prob of picking 1 n and 1 t when two letters picked without replacement from {r: 4, t: 2, n: 1, d: 10, e: 1}? 2/153 Two letters picked without replacement from {o: 6, k: 4, g: 1, w: 2}...
{ "pile_set_name": "DM Mathematics" }
n base 4? 2020 Convert -2 (base 3) to base 6. -2 Convert -132 (base 8) to base 7. -156 What is 11 (base 16) in base 4? 101 -1 (base 10) to base 16 -1 Convert -100110 (base 2) to base 4. -212 What is 502 (base 6) in base 14? d0 Convert -10 (base 3) to base 5. -3 18 (base 11) to base 10 19 Convert -65 (base 7) to base 2....
{ "pile_set_name": "DM Mathematics" }
lest common multiple of l and w? 126 Let d be 23/((-138)/540) - 1*-3. Let x = d - -92. What is the smallest common multiple of 23 and x? 115 Let g(c) = 2*c - 4. Let w = -64 - -72. Calculate the lowest common multiple of w and g(6). 8 Let x(o) = 3*o**3 - o. Suppose 4*i - 6 = 6. Suppose -2*b = -i - 1. Calculate the lowes...
{ "pile_set_name": "DM Mathematics" }
3/33 - 640*a. Find m such that v(m) = 0. 0, 568 Let j = -126/263 + 1430/789. Factor j*x**3 + 0 + 5/3*x**2 + 1/3*x**4 + 2/3*x. x*(x + 1)**2*(x + 2)/3 Let s(l) = -9*l - 199. Let t be s(-22). Let c be t*11/22 - (-18)/4. Factor 0*b + 0*b**2 + 0 + 0*b**3 - 4/7*b**c + 4/7*b**5. 4*b**4*(b - 1)/7 Let x be (45/(-20))/((-3 - (-2...
{ "pile_set_name": "DM Mathematics" }
*o + 1/21*o**6 - 1/7*o**4 + 1/7*o**2 + 0*o**j + 0*o**3 + 5. Solve k(x) = 0. -1, 0, 1 Let d(l) be the second derivative of -l**4/60 - 2*l**3/15 - 2*l**2/5 - 12*l - 4. Find r such that d(r) = 0. -2 Suppose 18*a - 26 = 10. Let t(v) be the third derivative of 0 + 0*v + 4/3*v**3 - 7/120*v**6 + 1/210*v**7 + 3/10*v**5 - 5/6*v...
{ "pile_set_name": "DM Mathematics" }
t(2) + 9 Simplify (sqrt(1008) + -3 - sqrt(1008))**2 + sqrt(252)*1. 9 + 6*sqrt(7) Simplify sqrt(1573) - 1*(sqrt(1573) + sqrt(1573)*2)**2. -14157 + 11*sqrt(13) Simplify (sqrt(19) + (sqrt(19) - (sqrt(76)*6 - sqrt(19))) - sqrt(19)) + -4 + sqrt(38)/sqrt(2). -9*sqrt(19) - 4 Simplify (sqrt(17) + sqrt(272) + -5)**2 - sqrt(68)/...
{ "pile_set_name": "DM Mathematics" }
2 = 4*l. Let n be -1 - (-2)/(-2) - 0. Let t = l - n. List the prime factors of t. 2, 3 Let t(a) = -a**2 + 4*a. Let m be t(8). List the prime factors of (m - 1)*(-6)/9. 2, 11 Suppose -2*j + 2*f = -82, -4*j + 2*j + 77 = -3*f. List the prime factors of j. 2, 23 Suppose 0 = 2*f + 5*b - 356, 2*b + 600 = 5*f - 348. What are ...
{ "pile_set_name": "DM Mathematics" }
5316054, 34457980? 703226*d**2 - 12*d - 10 What is the k'th term of -3368846, -3368842, -3368834, -3368822? 2*k**2 - 2*k - 3368846 What is the r'th term of 615, 735, 843, 939, 1023, 1095? -6*r**2 + 138*r + 483 What is the f'th term of 995, 6509, 15699, 28565, 45107, 65325? 1838*f**2 - 843 What is the j'th term of 81732...
{ "pile_set_name": "DM Mathematics" }
-0.3597 What is 0.0249441027 rounded to 6 decimal places? 0.024944 Round 907.7226254 to the nearest 10. 910 What is 8688535.028 rounded to the nearest 1000000? 9000000 Round 3511.22501 to the nearest integer. 3511 Round 0.0000546828957 to 5 dps. 0.00005 What is -2850551990 rounded to the nearest one million? -285100000...
{ "pile_set_name": "DM Mathematics" }
4*t**2 + 136*t - 8. What is n(-34)? -8 Let v(c) = -c**2 - 7*c - 6. Determine v(-6). 0 Let j(b) = 3*b - 1. Give j(8). 23 Let z(q) = -q**2 + 11*q + 7. What is z(11)? 7 Let f(d) = -5*d**2 - d + 2. Give f(-3). -40 Let k(p) = 4*p + 88. Calculate k(-22). 0 Let t(p) = 3*p - 24. Give t(12). 12 Let k(v) = v**3 + 8*v**2 - 10*v ...
{ "pile_set_name": "DM Mathematics" }
2)*(-r - r - r). -6*r**5 Expand (8*i**3 - 2*i**3 + 2*i**3)*(-2*i**2 + 0*i**2 - 2*i**2)*(1 + 5 + 6). -384*i**5 Expand (-1 + 1 - 3*r**2)*(-56 + 15 - 141)*(3 + 1 - 2). 1092*r**2 Expand (-2*a**2 - 3*a + 3*a)*(-2 + 3 + 0)*(20*a - 30*a - 27*a). 74*a**3 Expand (-315 + 478 + 636 + 1226 + 632)*(-2*f**4 + f**4 + 0*f**4). -2657*f...
{ "pile_set_name": "DM Mathematics" }
osite number? False Is 46213 prime? False Is 40693 a composite number? False Is 436907 composite? True Is 576787 a composite number? False Is 18947 a composite number? False Is 28961 a composite number? False Is 105457 composite? True Is 77137 prime? True Is 132491 a composite number? False Is 80126 a composite number?...
{ "pile_set_name": "DM Mathematics" }
h is smaller: 354 or 149? 149 Which is bigger: 0 or 24/112445? 24/112445 Which is greater: 1 or -1/109949? 1 Is -64767/2 equal to -32385? False Is -5 at least -327/92? False Are 3349 and 3358 non-equal? True Which is smaller: 1 or -570/11161? -570/11161 Are 0 and 1/373535 unequal? True Is -10815/4 < -2704? False Are -8...
{ "pile_set_name": "DM Mathematics" }
, 191782, 255470, 319148, 382816, 446474? -5*b**2 + 63723*b + 658 What is the u'th term of 6554, 26540, 59842, 106454, 166370, 239584? -u**3 + 6664*u**2 + u - 110 What is the b'th term of -2599, 3348, 13255, 27116, 44925? -b**3 + 1986*b**2 - 4*b - 4580 What is the i'th term of -431, -3386, -11389, -26954, -52595, -9082...
{ "pile_set_name": "DM Mathematics" }
-z + 23 = -11. What is the remainder when z is divided by 9? 7 Suppose -a + 0*a = 0. Let y be 7 - (-1 + 0 + a). What is the remainder when 11 is divided by y/((2*-2)/(-2))? 3 Let v be (2/(-6))/((-1)/123). Let t = v + -29. What is the remainder when (207/45)/((-1)/(-5)) is divided by t? 11 Let d = -43 + 86. What is the...
{ "pile_set_name": "DM Mathematics" }
- 5*i - 7 = 0, -l - 2*i + 5 = -6*i. Suppose 45 - 265 = -55*d. Which is the closest to l? (a) 0.2 (b) 0 (c) d b Let k = -0.4 - -0.7. Let g = -10.2 - -11. Let p = 3.2 + g. Which is the nearest to -1/4? (a) p (b) k (c) -2 b Let b = 171/35 - 23/5. What is the closest to -0.1 in 1, b, 0.3? b Suppose 0 = -6*f + f + 20....
{ "pile_set_name": "DM Mathematics" }
3, 17, 1201, 4337 List the prime factors of 1449079773. 3, 483026591 List the prime factors of 1347564711. 3, 109, 4120993 List the prime factors of 3338439500. 2, 5, 11, 179, 3391 What are the prime factors of 326353914? 2, 3, 71, 85121 List the prime factors of 2411910577. 31, 77803567 List the prime factors of 41088...
{ "pile_set_name": "DM Mathematics" }
g 2 w and 2 z. 90/1001 Calculate prob of picking 3 q when three letters picked without replacement from {q: 6}. 1 Two letters picked without replacement from gggvvogvvvg. What is prob of picking 1 o and 1 g? 1/11 Calculate prob of picking 1 i, 1 g, and 1 b when three letters picked without replacement from {g: 1, b: 3,...
{ "pile_set_name": "DM Mathematics" }
ative of 51*x**4 - 17*x**2 - 5104*x wrt x? 612*x**2 - 34 Find the second derivative of 1407*z**3 - 2*z**2 + 23*z - 40. 8442*z - 4 What is the third derivative of -78*c**3 - 2*c**2 - 14*c wrt c? -468 Find the second derivative of d**2*j**3 - 322*d**2*j**2 - 16*d**2*j - 3*d*j + 2*d - 4*j**3 - 26*j wrt j. 6*d**2*j - 644*d...
{ "pile_set_name": "DM Mathematics" }
43 = -4*x. Let k be (22 + -4)/(3 - 2). Calculate the greatest common divisor of k and h. 9 Suppose 121 = 23*p + 29. Suppose 2*w - p = -u, -2*u + 6*u - w - 52 = 0. What is the greatest common factor of u and 30? 6 Suppose -5*z + r + 277 = -2*r, 3*z - 3*r = 165. Let a = z + -46. What is the highest common factor of 40 an...
{ "pile_set_name": "DM Mathematics" }
14989 - 38202, -1137608 = -4*t + 2*j. Is t a prime number? False Let d(k) = 8*k**3 + 3*k**2 - 7*k + 5. Let r = 156 - 33. Let w = -117 + r. Is d(w) composite? True Suppose -k = 5*a - 2142, -46*a + 50*a = -k + 2143. Is k a prime number? False Suppose -54*f - j - 153347 = -59*f, 6*j = -f + 30657. Is f a composite number? ...
{ "pile_set_name": "DM Mathematics" }
at is the g'th term of -43, -91, -125, -139, -127, -83, -1? g**3 + g**2 - 58*g + 13 What is the v'th term of 1301, 5182, 11645, 20690, 32317, 46526, 63317? 1291*v**2 + 8*v + 2 What is the k'th term of 1652, 1863, 2074, 2285, 2496? 211*k + 1441 What is the b'th term of 920, 1820, 2682, 3488, 4220? -3*b**3 - b**2 + 924*b...
{ "pile_set_name": "DM Mathematics" }
8493, -2*w + 2895404 = 6*a. Is w a composite number? False Suppose 2*q = j + 53733, -17960 = 5*q + j - 152310. Is q a composite number? True Let h be 1862/2*8/8. Suppose m - 497 = h. Suppose 467 = -0*q + q + 4*j, -3*q - 3*j + m = 0. Is q a prime number? True Let q = 51209 - -58997. Is q a composite number? True Suppose...
{ "pile_set_name": "DM Mathematics" }
sequence kll when three letters picked without replacement from kllkl. 1/5 Calculate prob of sequence dg when two letters picked without replacement from {r: 2, g: 1, d: 5, c: 11}. 5/342 Four letters picked without replacement from seboooeelbse. What is prob of sequence bsls? 1/2970 Two letters picked without replacem...
{ "pile_set_name": "DM Mathematics" }
5/62. What is the common denominator of -37/48 and b? 816 Let t = -2/40743 - 2077877/325944. Find the common denominator of 50/6567 and t. 52536 Let s = -1 + 11. Suppose 8*v = 2*v + 12. Suppose 80 = 5*x - 3*a, -3*a + 14 = v*x - 18. Calculate the least common multiple of x and s. 80 Let n(l) = l**3 - 19*l**2 + 42*l - 56...
{ "pile_set_name": "DM Mathematics" }
ich is smaller: o or -2/11? -2/11 Let l = -48.4 - -3.4. Is l != -2? True Let b be (-47391)/6*2/(-3). Let d = 5326 - b. Let z = -61 + d. Which is smaller: 0.2 or z? z Let c = -225/8 + 28. Which is smaller: c or 0.5? c Suppose 12 = -3*w, 0 = 3*s + w - 0*w + 4. Is 6/5 less than or equal to s? False Suppose 3*w - 2*w = -5*...
{ "pile_set_name": "DM Mathematics" }
rounded to two decimal places? -0.06 Let u = -18 + 5. Let i = 8 + u. Let m = 3.3 + i. What is m rounded to zero decimal places? -2 Let a = 66 - 65.71. Let k = 2223 - 2223.2942. Let p = k + a. What is p rounded to three dps? -0.004 Let b = 0.949 + 75.651. Round b to zero decimal places. 77 Let p = 4 + -28. Let s = p + ...
{ "pile_set_name": "DM Mathematics" }
8 Evaluate 10/4*5112/3195. 4 What is the value of -12*5/(-3) + -22? -2 Calculate 14/(-882)*18*91. -26 What is 656/(-1640) + (-52)/(-88)*(-16)/(-10)? 6/11 What is 12/10*8/1008*14? 2/15 What is 9/12*-2*72/27? -4 What is the value of (-3840)/213 + 87 + -69? -2/71 Calculate (-175)/150 - (-154)/(-12). -14 ((-2)/(-20))/((-81...
{ "pile_set_name": "DM Mathematics" }
06 AM? 589 What is 470 minutes before 11:17 PM? 3:27 PM How many minutes are there between 6:33 AM and 8:50 AM? 137 What is 279 minutes after 8:37 PM? 1:16 AM How many minutes are there between 2:04 PM and 2:23 PM? 19 What is 496 minutes before 10:41 PM? 2:25 PM What is 634 minutes before 3:54 PM? 5:20 AM What is 678 m...
{ "pile_set_name": "DM Mathematics" }
rivative of 0 + 1/6*z**3 + 7*z + 0*z**2. Calculate b(g(q)). -6*q Let v(q) = -10*q. Let z(t) = -t + 1. Let j(r) = 3*r - 2. Let o(b) = -j(b) - 2*z(b). Let m(c) = 30*o(c) - 5*v(c). Let g(n) = -2*n. What is m(g(w))? -40*w Let f(a) = 252*a + 3823. Let r(o) = o. Determine r(f(g)). 252*g + 3823 Let w(f) = 82*f**2. Let r(u) be...
{ "pile_set_name": "DM Mathematics" }
u). Is a(-7) a multiple of 7? False Let t = 494 - 314. Suppose 0 = g - 6*g + t. Does 18 divide g? True Let i(g) = -g**3 - 23*g**2 - 14*g - 3. Is 29 a factor of i(-23)? True Let x = 107 + -105. Let j = -52 - -78. Let i = j - x. Is 6 a factor of i? True Let j(a) be the first derivative of -a**5/60 + 5*a**4/8 - 5*a**3/2 +...
{ "pile_set_name": "DM Mathematics" }
2. Let l(r) = -3*k(r) + 4*y(r). Suppose 2*u + 10 = u. Calculate l(u). 0 Let l(j) = -2*j**2 + 37*j - 74. Let q(u) = u**2 - 19*u + 38. Let x(m) = -6*l(m) - 11*q(m). Calculate x(11). 4 Let l be 32/(-8) - (-14 - -15). Let h(g) = 2*g**3 + 9*g**2 - 2*g + 10. What is h(l)? -5 Let m = -62 - -65. Let j(h) = 4*h + 0*h + 8 + m - ...
{ "pile_set_name": "DM Mathematics" }
5776? 5 What is the thousands digit of 9978? 9 What is the hundreds digit of 494? 4 What is the hundreds digit of 716? 7 What is the units digit of 59436? 6 What is the units digit of 1084? 4 What is the tens digit of 138306? 0 What is the hundreds digit of 966? 9 What is the units digit of 5575? 5 What is the tens di...
{ "pile_set_name": "DM Mathematics" }