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300*d**2 Suppose -6*c - 6 = -9*c. Suppose -p = c*f - 11, 8 = -0*f + f + p. Find the second derivative of 0 + 5*h + 3 - 3 + f*h**3 wrt h. 18*h What is the third derivative of 418*o**6 - 325*o**2 + 105*o**2 + 122*o**2 wrt o? 50160*o**3 Let b(r) be the first derivative of -3*r**5/5 - 2*r**2 + 6*r - 8. Let j(c) be the firs...
{ "pile_set_name": "DM Mathematics" }
, 5*u - 8*m + 91 = 0 for u. -15 Solve 28*g + 4*j - 10 = 26*g, 9 = 4*g - 3*j for g. 3 Solve 68 = -4*b, -209*k = -214*k - 4*b - 48 for k. 4 Solve -22*f - 4*u = -27*f - 24, u - 45 = 11*f for f. -4 Solve -112*m + 113*m = -3*b + 20, 0 = -2*b - 4*m + 20 for b. 6 Solve -b + 4*c + 12 = 0, 4*b + 24 = 4485*c - 4487*c for b. -4 S...
{ "pile_set_name": "DM Mathematics" }
sequence hll when three letters picked without replacement from {l: 11, w: 3, h: 4, o: 1}. 220/2907 Two letters picked without replacement from ddtyayb. What is prob of sequence yd? 2/21 Two letters picked without replacement from zxajxzaxj. Give prob of sequence aj. 1/18 Four letters picked without replacement from jf...
{ "pile_set_name": "DM Mathematics" }
0.1792 Round -21037542.6 to the nearest 10000. -21040000 Round 475372.5331 to the nearest 100000. 500000 Round -75643507 to the nearest ten thousand. -75640000 What is 34.346957 rounded to zero dps? 34 Round -17366925.958 to the nearest one million. -17000000 Round -0.02037333979 to seven dps. -0.0203733 Round -22.9862...
{ "pile_set_name": "DM Mathematics" }
Let n(b) = 2*b**3 - 33*b**2 - 125*b + 1386. What is n(18)? 108 Let a(q) = -2*q**3 - 62*q**2 - 673*q - 18589. Determine a(-30). -199 Let t(g) = 58*g**2 + 25*g - 54. Determine t(-6). 1884 Let s(w) = 2*w**3 + 443*w**2 + 59*w - 35792. Calculate s(-221). 10 Let x(p) = -2*p**2 + 533*p - 19197. Give x(43). 24 Let k(i) = -i**...
{ "pile_set_name": "DM Mathematics" }
dps? -0.000885 Round 582496000 to the nearest one million. 582000000 Round 6919.494 to the nearest one hundred. 6900 What is -0.032345 rounded to three decimal places? -0.032 Round -0.010239507 to five dps. -0.01024 What is -1216960 rounded to the nearest 100000? -1200000 What is -0.0001296539 rounded to six decimal p...
{ "pile_set_name": "DM Mathematics" }
y be (20/(-6) - -3)*(12 - 11). Put -0.12, -4, y in ascending order. -4, y, -0.12 Suppose -5*h = -3*h + 24. Let d(n) = n**3 - 24*n**2 + 27*n + 370. Let z be d(22). Put z, 0, h in ascending order. h, z, 0 Let v = -16242/7 - -2327. Let w = v - 1095/161. Sort w, 0.4, 9/5. w, 0.4, 9/5 Let l = -125 - -65. Let y = l + 61. So...
{ "pile_set_name": "DM Mathematics" }
e least common multiple of 35 and 21? 105 What is the common denominator of 31/5 and 47/2310? 2310 Find the common denominator of 49/86 and -5/2. 86 What is the common denominator of -71/946 and -57/154? 6622 Calculate the common denominator of 97/16 and 111/10. 80 Find the common denominator of -37/63 and -43/28. 252 ...
{ "pile_set_name": "DM Mathematics" }
e. z**(1319/138) Simplify l**(-7)*l*l**5*((l*l/l**(-2/11))/l)/(l*l*l*l**(-2/7)) assuming l is positive. l**(-195/77) Simplify o*o**(-32)*o**(-8/11) assuming o is positive. o**(-349/11) Simplify (p**4*p)/p*p*p**(-17)/p assuming p is positive. p**(-13) Simplify (o**(-1/2)*o*o)**(-6/29)*(((o*o**(-1)*o)/o)/o)**(11/5) assum...
{ "pile_set_name": "DM Mathematics" }
*l + 20113. Calculate p(-325). -37 Let z(a) = 286*a - 5607. Determine z(20). 113 Let l(j) = 539*j - 240411. Determine l(446). -17 Let q(n) = -5*n**2 - 44325*n + 132992. Calculate q(3). -28 Let k(s) = s**3 + 44*s**2 - 99*s - 584. What is k(-46)? -262 Let c(t) = t**3 + 178*t**2 - 270*t - 16302. Determine c(-179). -13 Let...
{ "pile_set_name": "DM Mathematics" }
hat is the units digit of (-4)/(-6)*(4 + n)? 2 Let a(h) = h**2 - 6*h + 6. Let d be a(5). Suppose 4*j = 3*t - 20, 2*t - 5 = -j + 2*j. Suppose 4*q - 7 - d = t. What is the units digit of q? 2 Let h = 32 + -287. What is the units digit of 2/(-8) + h/(-12)? 1 Let a = 7 + -11. Let f be (0 - 0) + 4/a. What is the units digit...
{ "pile_set_name": "DM Mathematics" }
he next term in -28, -37, -50, -67, -88, -113, -142? -175 What is next in 40, 216, 670, 1540, 2964, 5080, 8026? 11940 What is next in -104, -106, -108, -110? -112 What comes next: 2018, 2014, 2010, 2006, 2002? 1998 What comes next: -115, -113, -111, -109, -107? -105 What is next in -5, -21, -55, -113, -201, -325? -491 ...
{ "pile_set_name": "DM Mathematics" }
es? 42 How many weeks are there in 15018.77916us? 0.0000000248326375 How many milligrams are there in 5.368422ng? 0.000005368422 What is 7/2 of a century in years? 350 How many micrometers are there in 1/5 of a centimeter? 2000 What is 1820.577654us in weeks? 0.000000003010214375 What is nineteen quarters of a milligra...
{ "pile_set_name": "DM Mathematics" }
1861. Round g to the nearest one million. 2000000 Let l = 24479.031 + -24491. Let x = l - -12. Round x to two decimal places. 0.03 Let o = -4.6 - -4.6000054. Round o to six dps. 0.000005 Let l = 1.192 - -1.28. Let r = l + -2.3633. Let v = r + -0.11. What is v rounded to three decimal places? -0.001 Suppose 0 = 5*i + 11...
{ "pile_set_name": "DM Mathematics" }
-5*i**2 + 5*i + 7. What is -6*q(g) + u(g)? g**2 - g + 1 Let i = 5 - 2. Suppose -4*a + 1 = -5*a. Let f(k) = -4*k - 3. Let y(r) = -r - 1. Determine a*f(v) + i*y(v). v Let z = -3 + 5. Suppose -z = 4*j + 2. Let x(l) = -3*l**2 - 4*l - 4. Let b(f) = -f**2 - f - 1. Determine j*x(a) + 5*b(a). -2*a**2 - a - 1 Let h(k) = k**2 +...
{ "pile_set_name": "DM Mathematics" }
*3 - 11*z**2 + 31*z - 7. What is y(6)? -1 Let d(j) = j + 2. Determine d(7). 9 Let m(c) = -c**3 + 11*c**2 - 8*c + 8. Calculate m(10). 28 Let p(t) = t**2 + 13*t + 4. Determine p(-9). -32 Let u(k) = k**3 - 12*k**2 + 26*k + 14. Give u(9). 5 Let n(z) = -z**2 + 39*z - 234. What is n(7)? -10 Let f(c) = c**3 - 2*c**2 - c - 2. ...
{ "pile_set_name": "DM Mathematics" }
3*n for u. 0 Solve -84*k + 85*k + 5*l + 43 = 0, -1 = -k + 6*l for k. -23 Solve 23*w = 2*d + 169, 314*w - d + 17 = 317*w for w. 7 Solve -24*l + 22*l = 2*g - 8, 13 = 7*l + 2*g for l. 1 Solve -5*f + 4*x - 144 = -142, 2*f - 3*x - 2 = 0 for f. -2 Solve 2*l - 147 = z - 153, -3*z + 13 = -5*l for l. -5 Solve -2662*o = 4*g - 2...
{ "pile_set_name": "DM Mathematics" }
10? False Let s(l) be the second derivative of 21*l + 0 - l**2 + 1/2*l**4 + 2/3*l**3 + 1/20*l**5. Is s(-4) a multiple of 2? True Let r = 51 + -10. Suppose -r*g + 28*g + 1482 = 0. Is 17 a factor of g? False Suppose 2*p + 21759 = 5*w, 4*w - 145*p + 146*p - 17402 = 0. Is w a multiple of 41? False Let d(o) = 2*o**2 + 3*o +...
{ "pile_set_name": "DM Mathematics" }
n ascending order. l, -1, -0.1 Let s(y) = -y**3 - 8*y**2 + y + 3. Let l = -23 - -15. Let p be s(l). Sort -3, 4, p. p, -3, 4 Let m = 0.23 - 2.43. Let t = m + 1.2. Put t, -0.3, -0.2 in ascending order. t, -0.3, -0.2 Let s = -7 + 5. Let p = 5 + s. Put p, -5, 4 in decreasing order. 4, p, -5 Let f = 0.2 + -1.2. Let z = -152...
{ "pile_set_name": "DM Mathematics" }
the prime factors of 875995. 5, 19, 9221 List the prime factors of 1905240. 2, 3, 5, 15877 What are the prime factors of 7506859? 1747, 4297 What are the prime factors of 57713? 57713 What are the prime factors of 348456? 2, 3, 14519 List the prime factors of 17713391. 1811, 9781 List the prime factors of 12066628. 2, ...
{ "pile_set_name": "DM Mathematics" }
r = -u. Give t(r). 2 Let t = -8 - -7. Let l(v) = -v**3 - 3*v**2 - v. Calculate l(t). -1 Let w = 2 + -4. Let q = -3 + 8. Let u(l) = q + 1 - 8 - l. Calculate u(w). 0 Suppose -2*y - 8 = -5*o - 2, -4*y + 5*o = 2. Let t(p) = -5 + 0*p + p - y + 2. Determine t(0). -5 Let u(n) be the first derivative of 2*n**3/3 + n - 2. Let i...
{ "pile_set_name": "DM Mathematics" }
*n + g and give y. -13 Express 6 + 2 - 8 + 21*n as t*n + c and give t. 21 Express (0 + 3 - o - 5)*(4*o**2 - 8*o**2 - o**2) as l + i*o**2 + d*o + a*o**3 and give a. 5 Rearrange -6*n + 17*n - 13*n to m*n + x and give m. -2 Express (3*d + 0 + 0)*(0 - 1 + 3) + d + d + 6*d - 8*d + d + 0*d as l*d + j and give l. 7 Rearrange ...
{ "pile_set_name": "DM Mathematics" }
+ (n**2 + 0*n**2 - 2*n**2)*(4962*n**3 - 17394921 + 17394921). -4958*n**5 Expand 238 - 238 - 194*p + (-2*p + 2*p - 2*p)*(1 + 2 - 1) + 3*p + 0*p - 5*p + (2 - 2 - 2)*(7*p - 4*p + 3*p). -212*p Expand -12*k + 12*k - 4*k**2 - 412*k + 412*k + 1 - 12*k**2 - 22*k**2 + 50*k**2 - 25*k**2 + (2*k - 4*k + 3*k)*(4*k - 3*k + 0*k) + 3*...
{ "pile_set_name": "DM Mathematics" }
der when 154 is divided by 13. 11 What is the remainder when 160 is divided by 64? 32 Calculate the remainder when 136 is divided by 45. 1 What is the remainder when 201 is divided by 112? 89 What is the remainder when 261 is divided by 71? 48 Calculate the remainder when 415 is divided by 77. 30 Calculate the remainde...
{ "pile_set_name": "DM Mathematics" }
-2*l - 47 = j, 4*j - 5*l - 1392 + 1307 = 0 for j. -5 Solve 0 = -6*z + 2*z - 165*n + 168*n + 19, 95 = 2*z - 11*n for z. -2 Solve -28*d + 8 = -20*d, 25*d + 0 - 34 = -2*l + d + 6 for l. 8 Solve -3*d + 317*p + 309*p - 621*p + 132 + 5 = 0, 4*d - p = 41 for d. 4 Solve 19*l - 3*l = -6*q + 2*q - 40, q + 3*l + 9 = 0 for q. -6 S...
{ "pile_set_name": "DM Mathematics" }
4 + 8407/(-105). -36 What is (-6)/(6 - 3)*23152/1447? -32 What is -63 + (-194 - -108 - -69)? -80 What is -3 - 896/72 - (-12 + -4 + 1)? -4/9 What is the value of (-2756)/106 + -7 + (-7586)/(-230)? -2/115 Evaluate 10/(-6 + 966/207). -15/2 Evaluate 104/(21840/462) - (-1 - 37/(-35)). 15/7 Evaluate (-23)/((-805)/2620) + (22...
{ "pile_set_name": "DM Mathematics" }
2 - d + 8. Calculate h(f). -3 Let u(z) = z**3 - 2*z**2 - 5*z - 2. Let f = 324 + -320. Determine u(f). 10 Let v(s) be the second derivative of -1/3*s**4 - s**2 - 1/2*s**3 + 0 - 3/20*s**5 - 41*s. Give v(-2). 12 Let p(n) = n**2 + 25*n + 18. Suppose 2*g + 63 = 148*m - 151*m, m - 115 = 5*g. What is p(g)? -6 Let i(z) = z**3 ...
{ "pile_set_name": "DM Mathematics" }
631 a prime number? False Is 456697 prime? True Is 302111 composite? False Is 432811 a composite number? True Is 9115 a composite number? True Is 239698 a composite number? True Is 115301 a prime number? True Is 11597 a prime number? True Is 5534 composite? True Is 66227 a prime number? False Is 10763 composite? True I...
{ "pile_set_name": "DM Mathematics" }
+ -83. Let f = 41 - r. Suppose -5*o + 37 = -143. Calculate the highest common divisor of f and o. 4 Let w be 65 - (-9)/(0 + 3). Suppose 5*z = -c + 322, 3*z - c - w = 2*z. What is the highest common factor of 13 and z? 13 Let f be (2 + -4)*(6/(-2) + 0). Suppose 74 + f = 4*z. Calculate the highest common factor of 140 an...
{ "pile_set_name": "DM Mathematics" }
u) = 450*u**2 - 46*u - 167. Let z(b) = 151*b**2 - 15*b - 56. Let m(y) = 6*s(y) - 17*z(y). Does 22 divide m(-3)? True Suppose -3*a = -2*s - 2*s + 245, 60 = s - a. Let w = 64 - s. Let b(l) = 12*l**2 - 2*l - 2. Does 6 divide b(w)? True Suppose 0 = 6*o - 10*o - 5*s + 25543, 0 = s - 7. Is 15 a factor of o? False Let n be 0/...
{ "pile_set_name": "DM Mathematics" }
2600321.4 What is -2541517.42 minus 0.13? -2541517.55 Put together 3703.51 and -3.23. 3700.28 Add together -2.2 and 60433.6. 60431.4 What is -0.4122 - 3299783? -3299783.4122 What is the difference between -188.3346 and -35545? 35356.6654 Total of -571 and 5368768. 5368197 Calculate -7.5616 - 0.10698. -7.66858 What is 0...
{ "pile_set_name": "DM Mathematics" }
f + y. Is f a prime number? True Suppose -3*l = 2*u + l - 6, u - l - 3 = 0. Let g(i) = 11*i**3 + i**2 - 3*i + 4. Is g(u) prime? False Let o = 345 - 224. Is o prime? False Let t = 2158 - 1136. Let s = t - -231. Is s a prime number? False Suppose -5*d - 93 = -1378. Is d a prime number? True Suppose -7*c + 1819 + 1674 = 0...
{ "pile_set_name": "DM Mathematics" }
Suppose -5*n = 3*r - 25, 5*n = n + 2*r + 42. Let y = 7 + 14. What is the remainder when y is divided by n? 5 Let z(w) = w**2 - 8*w - 14. What is the remainder when 73 is divided by z(11)? 16 Suppose 0 = 2*v - 3*v + 3*b, -4*v + 4*b + 40 = 0. Suppose 2*n - 3*m = m + 76, 5*n + 5*m - 115 = 0. Calculate the remainder when n...
{ "pile_set_name": "DM Mathematics" }
- 3. Let g(x) = -2*m(x) + 3*s(x). Let u(l) be the second derivative of 0*l**2 + 0 + 1/3*l**3 + 28*l. Determine u(g(t)). -34*t Let h(i) be the second derivative of -2*i**3/3 + 7*i. Let u(x) be the third derivative of -x**5/15 + 27*x**2 - 2. Calculate h(u(b)). 16*b**2 Let s(p) = 8*p - 12. Let x(u) = -1. Let o(m) = -m**2 ...
{ "pile_set_name": "DM Mathematics" }
e third biggest value? (a) 0.2 (b) 155/4 (c) 1 (d) 0.1 (e) -0.27 a What is the second biggest value in -1/7, 6, 14, -0.3, 4, 316, 1/9? 14 What is the third smallest value in 2, -20, 0.5, -1/2, 11, 6/7? 0.5 What is the second smallest value in -0.04, 12, 3, -516, 2/7, -3? -3 Which is the fifth biggest value? (a) 2...
{ "pile_set_name": "DM Mathematics" }
**2 - 4/5*v = 0. -2, -1, 0 Let c be (-93 + (6 + 0)/3)*-1. Let g = c - 818/9. Factor -g*v**2 + 0*v + 1/9. -(v - 1)*(v + 1)/9 Determine t, given that -2/9*t**5 - 204*t**3 - 11560/9*t**2 + 0 - 104/9*t**4 - 9826/9*t = 0. -17, -1, 0 Let v(k) = -25*k**4 + 169*k**3 + 78*k**2 - 880*k - 814. Let q(j) = 13*j**4 - 85*j**3 - 39*j*...
{ "pile_set_name": "DM Mathematics" }
r(o(l))? 10714431*l Let n(x) = 1943009*x. Let b(v) = -223*v**2. Determine n(b(t)). -433291007*t**2 Let u(r) be the third derivative of r**4/24 + 149*r**2. Let b(w) = w - 6. Let c be b(6). Let l(d) = c*d - 2*d + 4*d. Give l(u(t)). 2*t Let g(f) = 216820*f. Let c(s) = 651*s**2. Give g(c(q)). 141149820*q**2 Let y(l) = 3*l...
{ "pile_set_name": "DM Mathematics" }
-2*c. What is the thousands digit of o? 1 Let v be 2 + 0 - (17 - 21). Let b(g) = g + 1. Let i(d) = -9*d + 6. Let o(c) = 3*b(c) - 3*i(c). What is the units digit of o(v)? 5 Let z = 3055 + -1197. What is the thousands digit of z? 1 Let f = -112 + 130. Let d be -1*(5 + f) + 3/1. Let u = 80 + d. What is the tens digit of ...
{ "pile_set_name": "DM Mathematics" }
k) = 8*k**2. Let t(y) = 7*y**2. Give t(r(x)). 448*x**4 Let z(p) = -4*p + 4*p + 4*p. Let k(q) be the first derivative of 0*q + 4 - 1/2*q**2. Calculate k(z(u)). -4*u Let v(y) = y**2 + 3. Let j(z) = 2*z**2 + 5. Let r(m) = 6*j(m) - 10*v(m). Let q be (2 - 7/3)*-6. Let s(k) = 3*k**2 - q*k + k + k. Calculate s(r(n)). 12*n**4 ...
{ "pile_set_name": "DM Mathematics" }
Let k(d) = 5*d - 5. Let f(y) = 2*k(y) - 9*p(y). Let g be f(r). Solve g*l + 2*u - 5 = 0, -2*l - 2*u + 6 = -2 for l. -1 Suppose -1 = s - 3. Let m be (-1)/((-10)/4 + s). Suppose -4*o + 32 = m*l, -l - 4*l + 75 = 5*o. Solve -5*j = -j - 16, 2*u - 3*j + l = 0 for u. -1 Suppose -3*s = -2*s + 5. Let b be (-168)/(-6)*s/(-4). Sup...
{ "pile_set_name": "DM Mathematics" }
placement from {o: 1, c: 2, y: 1, n: 5}? 5/63 Two letters picked without replacement from {r: 3, c: 3, o: 7}. What is prob of picking 1 r and 1 o? 7/26 Two letters picked without replacement from vovovvovoovoov. Give prob of picking 2 o. 3/13 Three letters picked without replacement from {i: 2, w: 6, a: 2, s: 9}. What ...
{ "pile_set_name": "DM Mathematics" }
Suppose -a*h = 2*w + 22, 2*h + 0*h = -4. Let t(o) = o**3 + 7*o**2 + 8*o - 1. Determine t(w). -13 Let z(x) be the third derivative of x**5/30 + 2*x**4/3 - 19*x**3/3 + x**2 - 2322*x. Give z(-10). 2 Let p(q) = 13*q - 4. Let l(d) = -25*d + 10. Let b(r) = -l(r) - 2*p(r). Let a = 3 + 5. Suppose -12*i - 20 = -a*i. Give b(i). ...
{ "pile_set_name": "DM Mathematics" }
in kilograms? 0.000000004420057 How many nanograms are there in nine tenths of a microgram? 900 How many years are there in fifty-two fifths of a century? 1040 How many millilitres are there in 6739.592l? 6739592 How many millilitres are there in 1/4 of a litre? 250 What is 1/20 of a millennium in years? 50 How many li...
{ "pile_set_name": "DM Mathematics" }
highest common factor of i and 60? 20 Suppose 3124 = -54*a + 17704. Calculate the highest common divisor of 432 and a. 54 Let p be 362/9 + (-8)/36 + 5. What is the greatest common factor of p and 195? 15 Let h(g) = -6*g + 12. Let r(c) = -1. Let d(q) = -h(q) - 12*r(q). Let p be d(3). What is the highest common factor of...
{ "pile_set_name": "DM Mathematics" }
156. Calculate the highest common factor of n and s. 9 Let z = 10 - 4. Suppose -z*c - 44 = -8*c. What is the greatest common divisor of 2 and c? 2 Let y(p) = 21*p**2 + p + 1. Let z be y(-1). Let k = 0 - -6. Suppose -n = -k*n + 15. What is the highest common divisor of z and n? 3 Let w = 477 - 269. Let f be (-40)/15*39/...
{ "pile_set_name": "DM Mathematics" }
. What is c rounded to the nearest 100? 6400 Let i = -45 + 67. Let b = i + -13. Let v = -8.9999974 + b. Round v to 6 decimal places. 0.000003 Let x be (-5)/((-35)/(-2)) + 1947/(-21). What is x rounded to the nearest ten? -90 Let r = 106 - 106.000532. What is r rounded to 4 dps? -0.0005 Let w = 16.213 - 56.129. Let a = ...
{ "pile_set_name": "DM Mathematics" }
What is o rounded to zero dps? -10 Let h be 27*6*4/216*1207400/(-3). Round h to the nearest ten thousand. -1210000 Let t = 1326.77 - 1.77. Let y = 1324.8247 - t. Let f = y - -0.17. Round f to three decimal places. -0.005 Let f = -1157 + 685. Let k = f + 319. Let v = 152.999999758 + k. What is v rounded to 7 dps? -0.00...
{ "pile_set_name": "DM Mathematics" }
= 0 for h. -144638, -1, 505 Factor -4*f**2 + 273645160*f - 4680104599464100. -4*(f - 34205645)**2 Solve -q**2/3 - 17701328*q/3 - 78334253240896/3 = 0 for q. -8850664 Factor -1902578*v**2/5 + 380517*v - 7/5. -(v - 1)*(1902578*v - 7)/5 Factor 4*p**3 + 11408520*p**2 - 11408524*p. 4*p*(p - 1)*(p + 2852131) Let 4*s**3/7 - 3...
{ "pile_set_name": "DM Mathematics" }
earest 100000. -3800000 Let x(b) = b + 880000. Let o be x(0). Suppose -5*c = 2*w - o, c = -3*w - 2*w + 2200000. What is w rounded to the nearest one hundred thousand? 400000 Let s = 114981 - 77181. What is s rounded to the nearest 10000? 40000 Let y = -2.910054 + 2.91. What is y rounded to five decimal places? -0.00005...
{ "pile_set_name": "DM Mathematics" }
third derivative of -7*b**5/75 - 2*b**4/5 - 2*b**3/3 + 18*b**2 + 4*b. What is q in s(q) = 0? -1, -5/7 Let u(b) be the second derivative of b**5/4 - 5*b**4/2 - 35*b**3/6 - 300*b. Factor u(x). 5*x*(x - 7)*(x + 1) Let y(j) be the third derivative of 1/3*j**5 + 1/6*j**4 + 8/105*j**7 + 4/15*j**6 + 5*j - 5*j**2 + 0 + 0*j**3....
{ "pile_set_name": "DM Mathematics" }
(a) 0.5 (b) w (c) g b Suppose 10 + 4 = u. Let q = -23 - -30. Let y be q/u*0/1. What is the nearest to -1 in y, -5, 2/9? y Let m = -4.79 + -0.21. Which is the nearest to -10? (a) 1 (b) -2 (c) m c Let p(m) = -m**3 - 14*m**2 - 23*m + 16. Let c be p(-12). What is the closest to c in -0.7, 1/7, 2, 1? 2 Let n = -2.96 ...
{ "pile_set_name": "DM Mathematics" }
= 4 + -7. What is the closest to d in u, -2/15, f? u Let t = 0.104 - 4.104. Which is the nearest to 0? (a) t (b) -17 (c) 3/4 c Let m = -0.1 + 0.2. Let y = 0 - m. Let h = 185 + -182. Which is the closest to y? (a) -1/3 (b) h (c) 1/4 a Let n = 10 + -8.05. Let t = -0.05 - n. Let r = 12 + -7. What is the nearest to ...
{ "pile_set_name": "DM Mathematics" }
) q b Let p = -100 + 177. Let r be -2 + (-943)/p - -2. Let s = -87/7 - r. Which is the closest to -0.3? (a) 3/2 (b) s (c) 1 b Let i = -0.6 - -0.59. Which is the closest to 0.2? (a) 2/11 (b) i (c) 1 a Let j be (-47)/65 + (52/(-10) - -6). What is the nearest to 0.1 in 0, j, 4? j Let x = -0.1 + 1.1. Let q = 277471/5...
{ "pile_set_name": "DM Mathematics" }
+ 474. Let m = -110 - u. Calculate the remainder when m is divided by 25. 22 Let w be (-20)/(-6)*3/2. Let l = w + -2. Suppose l*z = -5*d + 92 + 6, -6 = -d - 4*z. What is the remainder when 65 is divided by d? 21 Suppose -3*a + 30 = 2*a - 4*o, -2*a + 3*o = -12. Suppose -3*f + a*f = 87. Calculate the remainder when f is ...
{ "pile_set_name": "DM Mathematics" }
or x? 2 Suppose 3*h = -2*h + 5*c, -c + 3 = -4*h. Let k = 4 + -10. Let g be k/(-4) + (-44)/24. Which is bigger: g or h? g Suppose 5*k = 62 + 88. Let v be 20/k*(-2)/4. Is -3 <= v? True Let u = 0.3 - -0.4. Let i = 1.3 + u. Is i at most as big as 2? True Suppose d = -1 - 0. Let k = 0.3 + -0.2. Is d < k? True Let j = -0.4 ...
{ "pile_set_name": "DM Mathematics" }
. Let y be i(8). Suppose -5*q - 5*u = 5, -y*u = 2*q + u + 4. Solve q*p - c = -3*p for p. 2 Suppose -5*r = 35*q - 31*q + 86, 5*q - 3*r = -89. Let z be ((-26)/(-3))/((-1)/(-3)). Let k = q + z. Solve 4*x - k*x = -9 for x. 3 Let x(c) = -4*c + 10. Let n(m) = -m**3 + 7*m**2 + 2*m - 3. Let s be n(7). Let i be x(s). Let r = 42...
{ "pile_set_name": "DM Mathematics" }
+ 12*i - 1637. Let q(r) = 11*r**3 + 2*r**2 - 3. Give -2*h(m) - 9*q(m). -9*m**3 + 3 Let i(k) = 6479*k**3. Let z(w) = -60*w**3. Let h(j) = 102*j - 10927. Let u be h(105). Give u*z(p) - 2*i(p). 62*p**3 Let j(q) = 10*q**3 + 3*q**2 + 22. Let a(b) = -21*b**3 - 6*b**2 - b - 59. What is 2*a(z) + 5*j(z)? 8*z**3 + 3*z**2 - 2*z -...
{ "pile_set_name": "DM Mathematics" }
t - 0*k - k, t + 4*k + 1 = 0. Calculate the remainder when h is divided by t. 10 Suppose 1 = 4*y - 55. Let b = 0 - -1. Calculate the remainder when (1*-27)/(b/(-1)) is divided by y. 13 Suppose 5*n = -2*d + 44, -5*n + 11 = -d + 3. What is the remainder when 46 is divided by d? 10 Let v(i) = -i**3 + 7*i**2 - 5*i + 4. Let...
{ "pile_set_name": "DM Mathematics" }
5) + 4 1/3 What is the value of (-2)/((-45)/6 + 7)? 4 (2/4)/(21 + (-1700)/80) -2 What is (-15)/38 + 3/(8 + -2)? 2/19 ((-10)/15)/(8/(-3))*-4 -1 What is ((-15)/10)/(2 - 39/24)? -4 Evaluate (-30)/35 - (-128)/280. -2/5 What is the value of (1 - 2*(-4 - -2)) + -6? -1 Evaluate (-10)/3*(-15)/(-10). -5 What is (-2)/(((-1)/(-5)...
{ "pile_set_name": "DM Mathematics" }
-1.04. Which is greater: 1 or n? 1 Let j be (22/(-33))/(2/(-6)). Suppose -j = k - 52. Which is greater: 51 or k? 51 Let h = -345 - -345.3. Is 1/486 bigger than h? False Let d = 0.8 - 4.8. Let i = 0.4193 + -0.3193. Is i greater than d? True Let k be 1*(4/(-3))/(-2). Suppose 2*g + 104 - 114 = 0. Is k bigger than g? False...
{ "pile_set_name": "DM Mathematics" }
4*h, -5*i - 3 = -8*i. Let b be 2/3 - (-8)/h. Let c(o) = o**3 - o**2 - 2*o. Let f be c(b). Solve -t = -f*t - 5 for t. 5 Let d be 4/12*(-30)/(-2). Suppose m + 0*m + 3 = 0. Let k = m + d. Solve 3*r = k*r for r. 0 Let b(x) be the second derivative of x**4/12 + 11*x**3/6 + 7*x**2 + 4*x. Let a be b(-10). Solve -3*c - a = c f...
{ "pile_set_name": "DM Mathematics" }
*2 - 3*i + 2. Suppose 0 = -3*h + 10*h - 7. Let y be m(h). Solve -y = 2*q + 4 for q. -3 Let f be 9/((-135)/6)*-20. Suppose f = -0*i + 4*i. Solve -y = i*y - 12 for y. 4 Let n(y) = 7*y - 131. Let h be n(20). Solve -2*z - z = -h for z. 3 Let n(y) = y**2 + 3*y - 12. Let a be n(-7). Solve -7*g + 2 - a = 0 for g. -2 Suppose 6...
{ "pile_set_name": "DM Mathematics" }
t u be (22 - 624/(-26)) + -44. Solve -2*q - c = -u*i, -q - 2*q = -i + 12 for q. -5 Let v = 158 - 149. Suppose -q + 3*q = v*q. Solve 5*o + 4*z - 3*z - 20 = q, o + 2*z + 5 = 0 for o. 5 Let z be (23 - (-89)/(-4))*(-1)/(2/(-8)). Solve 5*j - 17*y = -14*y + 14, 2*j + 7 = -z*y for j. 1 Let a be (-1 - 21/(-9)) + (-208)/12. Let...
{ "pile_set_name": "DM Mathematics" }
a) 2 (b) h (c) 1 c Let k(s) = -s**2 - 16*s + 191. Let t be k(-24). What is the nearest to 0.06 in t, 2/3, -2, -0.1? -0.1 Let v be ((-80)/(-10))/(2 - 0). Suppose 2*f - 8 = v*q, -f - 4*q = f. Suppose -3*k + 4*n - n - 6 = 0, -2*n = -2. What is the nearest to k in 3/2, 1, f? 1 Let t = 2.17 + -4.15. Let x = t - -2. Suppos...
{ "pile_set_name": "DM Mathematics" }
**5 - 4*m**5 + (-2 - 5 - 5)*(m**5 - 2*m**4 + 2*m**4) - 2*m**5 + 5*m**5 - m**5. -12*m**5 Expand 3*u**4 + u**4 - 2*u**4 + (-u + u - 7*u**2)*(u**2 - 2*u**2 + 0*u**2) + u**4 + 2 - 2 - 5*u**4 + 4*u**4 + 0*u**4. 9*u**4 Expand (-4 + 0 + 2)*(-2 + 6*t**2 + 3*t**2 - 5*t**2)*(0 + 1 + 1). -16*t**2 + 8 Expand -1 + m**2 + 2 - 3 + (0...
{ "pile_set_name": "DM Mathematics" }
closest to x in -4/7, -0.3, i? -0.3 Let s = -8 - -14. Suppose s - 2 = q. Suppose 0 = 5*r + 10. Which is the closest to 1/2? (a) -5 (b) r (c) q b Let p = -5 + 2. Let s = p + 3.1. What is the nearest to s in -0.5, 1, -2? -0.5 Let i = -19 + 18.7. What is the closest to i in -1, 2/3, 0.5? -1 Let t = 15.11 + -15. Let l ...
{ "pile_set_name": "DM Mathematics" }
5*d = -25, 0 = -6*o + o + i*d + 90. Does 4 divide o? False Suppose 3*c - 955 = -v + 1106, -2*c = 5*v - 10279. Does 29 divide v? False Let c(a) be the first derivative of a**3 + 9*a**2/2 + 11*a + 30. Does 6 divide c(5)? False Let r(m) = -38*m - 134. Let g be r(-8). Suppose 5*z - 2*a = g, -3*z + 143 = -4*a + 11*a. Is 9 a...
{ "pile_set_name": "DM Mathematics" }
. Let p(d) = -292*d**2 + 24842 - 24842. Give g(p(h)). 292*h**2 Suppose 2 = -93*t + 94*t. Let b(r) = 21*r**2 + 23*r**t - 43*r**2. Let d(l) = -93*l. Give d(b(w)). -93*w**2 Let y(r) be the first derivative of 2*r**2 - 1. Let l(d) = 21*d**2 + 28*d - 14. Let a(w) = w**2 + 2*w - 1. Let n(t) = 14*a(t) - l(t). Calculate n(y(x)...
{ "pile_set_name": "DM Mathematics" }
15, 0 = -3*t + u + 91. Let w be r(t). What is w rounded to the nearest one hundred thousand? -1100000 Let o = -146.547 - -147. Let q = o + -0.49. Let v = q + 0.03475. Round v to 4 decimal places. -0.0023 Let l(v) = 4*v - 105. Let s be l(0). Let q = -55 - s. Let k = q - 350. What is k rounded to the nearest one hundred?...
{ "pile_set_name": "DM Mathematics" }
0*d + 65. Let s be 4/1 + 2/4*-20. Give s*k(i) + t*y(i). -5*i Let i(y) = -14*y. Let w = 20511 - 20514. Let s(f) = -629*f. What is w*s(h) + 136*i(h)? -17*h Let k(t) = -5*t + 7. Let b(h) = -29*h + 1. Let i(w) = 13*w + 1. Let r(d) = b(d) + 2*i(d). Determine -4*k(g) + 9*r(g). -7*g - 1 Let l(b) = 11*b**2 - 4*b + 8. Let v(s) ...
{ "pile_set_name": "DM Mathematics" }
0. What is the tens digit of i? 2 Suppose g - 3*h - 243 = -3*g, 3*h = -2*g + 135. Suppose 3*x - 3*k = g, 6*x = 2*x + 2*k + 78. What is the tens digit of x? 1 Suppose 3*v - 88 = 242. What is the tens digit of v? 1 Suppose 0 = -4*b - 162 + 6. Let a = 9 + b. What is the tens digit of (-560)/a*(-3)/(-2)? 2 Suppose 3*c - 58...
{ "pile_set_name": "DM Mathematics" }
decimal places. -0.00102 What is 0.00504518 rounded to 5 dps? 0.00505 What is -0.1496647 rounded to three decimal places? -0.15 What is 0.00071699744 rounded to 6 decimal places? 0.000717 Round 1634.9658 to the nearest integer. 1635 Round 0.5790545 to 2 dps. 0.58 What is -1898250 rounded to the nearest 1000000? -20000...
{ "pile_set_name": "DM Mathematics" }
order. h, -4, -15 Let o be (5 + (-9)/3)*2. Put o, -2/9, -1/3 in decreasing order. o, -2/9, -1/3 Let n = -0.55 - -1.05. Sort n, -5, 5 in decreasing order. 5, n, -5 Let i be (-11)/24 - 1/(-3). Let q = -73 - -69. Let g be (-2)/5 + 33/20. Put q, g, i in descending order. g, i, q Let f(w) = 5*w**2 - 3 - 2 - w**3 + 3*w**2 +...
{ "pile_set_name": "DM Mathematics" }
592 wrt l? -4684529 What is the third derivative of 438145286*x**4 + 641545276*x**2? 10515486864*x What is the second derivative of 911056*y**5 - 3*y**3 + 22*y - 30440? 18221120*y**3 - 18*y Find the first derivative of -14400463*t**3 + 8692280 wrt t. -43201389*t**2 Find the first derivative of 169284282*l**3 + 524699 w...
{ "pile_set_name": "DM Mathematics" }
r? False Let r = 13716 + -26752. Let m = r - -18909. Is m a composite number? True Suppose -4*l = o - 1193042, -596532 = 2*l - 4*l + 5*o. Is l a prime number? True Suppose 3*d - 5*d + 90350 = -86228. Is d prime? True Suppose -72*z - 25332 = -16*z - 117004. Is z a prime number? True Let i(f) = -f**2 + 13*f + 26. Let v b...
{ "pile_set_name": "DM Mathematics" }
0*a**2 - 11 + 1767*a - 1775*a. What is -4*c(t) + 11*v(t)? -3*t**2 - t Let f(c) = 3*c**3. Let h(s) = 3*s**3 + s**2. What is -6*f(g) + 5*h(g)? -3*g**3 + 5*g**2 Let q(o) = 11*o**2 - 21*o + 9. Let j(y) = -5*y**2 + 10*y - 4. Give 9*j(c) + 4*q(c). -c**2 + 6*c Let i(s) = 4*s - 1 - 7*s + 2*s. Let o(w) = 6*w + 4. Let a(b) = b*...
{ "pile_set_name": "DM Mathematics" }
2*s**2 + 2*s**u + 3*s**4 - 2*s**4 wrt s? 24*s Find the third derivative of -2*r**2 + 7*r**6 - 6*r**6 + r**6 wrt r. 240*r**3 Differentiate 3*v**2 - 10*v - 8*v**2 - 6 + 10*v wrt v. -10*v Let v(z) be the first derivative of -18*z**5/5 + 10*z**2 + 5. Find the second derivative of v(b) wrt b. -216*b**2 Let j(n) = -n**2 + 5...
{ "pile_set_name": "DM Mathematics" }
104)/k - i/30? 0 Suppose -6*r = -r - 250. What is the units digit of r? 0 Let b(z) = -16*z**2 - 4*z - 4. Let d be b(-5). What is the units digit of (-4)/10 - d/10? 8 Let u = -31 + 44. What is the tens digit of u? 1 What is the units digit of 170 - -11 - (-1 + (1 - 4))? 5 Let a be (-1 + 11)*2/(-5). What is the units dig...
{ "pile_set_name": "DM Mathematics" }
- 0.618. Let n = 0.477 + u. Let p = n - 0.327. Round p to one decimal place. -5.2 Let o(u) = -9245*u**2 + 23*u + 4. Suppose 2 = -5*s + 62. Let m be o(s). What is m rounded to the nearest one hundred thousand? -1300000 Let t = -6081893 - -6082002.999968. Let v = -149 - -39. Let q = v + t. What is q rounded to 4 dps? 0 ...
{ "pile_set_name": "DM Mathematics" }
months are there in 7/6 of a millennium? 14000 What is one fifteenth of a hour in minutes? 4 What is eleven quarters of a gram in milligrams? 2750 How many minutes are there in 3/16 of a week? 1890 Convert 56349.49ml to litres. 56.34949 How many nanograms are there in 4440.74 grams? 4440740000000 How many kilograms ar...
{ "pile_set_name": "DM Mathematics" }
o the nearest integer? 123 What is the fifth root of 1120193 to the nearest integer? 16 What is the square root of 4090980 to the nearest integer? 2023 What is the third root of 9783517 to the nearest integer? 214 What is 196135 to the power of 1/9, to the nearest integer? 4 What is 10120840 to the power of 1/3, to the...
{ "pile_set_name": "DM Mathematics" }
-4)). Let y be -2*(-1 + p)*-2. Suppose -u + 0*f + 5*f = -9, y*f = 5*u - 24. Calculate the least common multiple of u and 9. 36 Let l = 51 - 56. Find the common denominator of (1 + 63/75)/((-8)/l) and -101/2. 20 Suppose -8*p = -3*p - 135. Calculate the smallest common multiple of -2 - 3*-2 - (15 + -20) and p. 27 Calcula...
{ "pile_set_name": "DM Mathematics" }
98? False Does 364 divide 25414225? False Does 8 divide 525054144? True Does 24 divide 4723549968? True Is 18179725 a multiple of 395? False Is 13694323 a multiple of 17? False Does 89 divide 48940210? True Does 87 divide 89788401? False Is 42 a factor of 154267050? True Is 1333301850 a multiple of 185? False Is 1678 a...
{ "pile_set_name": "DM Mathematics" }
ng 2 j when two letters picked without replacement from {p: 1, e: 2, j: 3, y: 1}? 1/7 Calculate prob of picking 2 z when two letters picked without replacement from {h: 1, z: 2}. 1/3 Two letters picked without replacement from {n: 4, q: 2, e: 6, b: 3}. What is prob of picking 2 n? 2/35 Calculate prob of picking 3 l whe...
{ "pile_set_name": "DM Mathematics" }
+ sqrt(114)))/((sqrt(12)/sqrt(2)*-4 - sqrt(6)) + sqrt(6)) - (-4 + (-4*(sqrt(1900) + sqrt(19) + -3))**2). -36924 + 4227*sqrt(19)/4 Simplify (sqrt(144)*4 - sqrt(2816)/sqrt(11))/((sqrt(60)/(sqrt(5) + sqrt(5) + sqrt(45)))/(sqrt(54)*6)). 1440*sqrt(2) Simplify 4 + -2*sqrt(343)*-2 + -2*(sqrt(343) + sqrt(343) + -1) - 5*2*(-5 ...
{ "pile_set_name": "DM Mathematics" }
remainder when h is divided by a. 10 Let x be ((12/(-10))/(-3))/(5/1075). Let t = 85 - x. Calculate the remainder when 73 is divided by -1 + (3/t - -23). 16 Calculate the remainder when 2142 is divided by (-25 + 24)/((-1)/13). 10 Let i(o) = 103*o + 20. Let u be i(2). Suppose u = 3*z + 10. Let l = -94 + 113. Calculate ...
{ "pile_set_name": "DM Mathematics" }
t is the m'th term of -3058403, -6116762, -9175121, -12233480, -15291839? -3058359*m - 44 What is the z'th term of -14482, -13906, -13330, -12754? 576*z - 15058 What is the q'th term of 1530, 2906, 4296, 5706, 7142, 8610, 10116? q**3 + q**2 + 1366*q + 162 What is the r'th term of -5124, -20452, -45998, -81762? -5109*r*...
{ "pile_set_name": "DM Mathematics" }
((-4)/(-70)). Let w = 8 - x. Let g = -2 + w. Solve a = 6*a + g for a. -4 Let b = 24 + -20. Let v = 54 - 47. Suppose -b*x = -v*x. Solve -2 = z - x for z. -2 Suppose -21*c + 24*c - 4*l - 25 = 0, -5*c + l = -70. Solve 4*u - c = u for u. 5 Suppose 259*x = 261*x - 14. Solve -x*i = -3*i + 16 for i. -4 Let x be ((-28)/(-35))/...
{ "pile_set_name": "DM Mathematics" }
h**(-4) assuming h is positive. h**(-53/4) Simplify ((a**1)**1)**(-5) assuming a is positive. a**(-5) Simplify c*c/c**13*c*c**1 assuming c is positive. c**(-9) Simplify ((m/m**(-2/17))/m*m/((m/((m**3*m)/m*m))/m*m*m*m))**46 assuming m is positive. m**(1656/17) Simplify (u/(u*u**(2/3))*u**8/u)**(2/165) assuming u is posi...
{ "pile_set_name": "DM Mathematics" }
+ -5. -432*sqrt(11) - 149 Simplify 5 + -1*(2 + (1 + sqrt(475))**2)*-3. 30*sqrt(19) + 1439 Simplify 5 + (sqrt(6655) + sqrt(6655)*2)/(2*sqrt(20)/sqrt(4)). 5 + 33*sqrt(11)/2 Simplify ((sqrt(16)*1 + sqrt(16))/sqrt(8))**2 + ((sqrt(32))**2 + -1 - sqrt(2)) - (-4*sqrt(4)/sqrt(2) + 3). 3*sqrt(2) + 36 Simplify (-3*(1 + sqrt(5)) ...
{ "pile_set_name": "DM Mathematics" }
biggest value? (a) -0.07 (b) 363 (c) -5 b What is the third smallest value in -16, 2/13, -2/7, 23, -0.1? -0.1 Which is the second biggest value? (a) 5 (b) 17/7 (c) 0.3 (d) 0.2 (e) -2 b Which is the fourth smallest value? (a) -2/51 (b) -3/5 (c) 21 (d) -27/2 c What is the second biggest value in -2/3, -0.5, 0...
{ "pile_set_name": "DM Mathematics" }
w(z) = -4*z - 36. Let j be w(-20). Calculate the highest common factor of j and 22. 22 Let i(f) = f**2 - f. Suppose 3*u = -0*x - 5*x - 30, 4*u = 0. Let c(b) = -b - 2. Let y be c(x). Let m be i(y). What is the highest common divisor of m and 30? 6 Suppose 3*y + 2*y = -4*g + 399, 3*y = -4*g + 241. Let q = 17 + y. Calcul...
{ "pile_set_name": "DM Mathematics" }
, -112, -288, -582, -1024? -5*b**3 + b**2 + 2*b + 8 What is the w'th term of 90, 375, 850, 1515? 95*w**2 - 5 What is the h'th term of -97, -196, -295, -394, -493, -592? -99*h + 2 What is the t'th term of 3, 23, 49, 75, 95, 103, 93? -t**3 + 9*t**2 - 5 What is the l'th term of 2, -11, -48, -121, -242? -2*l**3 + l + 3 Wha...
{ "pile_set_name": "DM Mathematics" }
t is the remainder when 31 is divided by (3/z)/(4/32)? 1 Suppose -2*z = d - 2540, 4*z - 4380 - 694 = -3*d. Calculate the remainder when z is divided by 116. 113 Let y(x) = -2*x**3 + 35*x**2 + 24*x + 87. What is the remainder when y(18) is divided by 41? 31 Let t = -23 - -31. Suppose 0 = -t*m + 12*m + 808. Let r = 340 +...
{ "pile_set_name": "DM Mathematics" }
0 = o. Suppose o = -5*l - 0*l. Let r(y) = 2*y**2 - 12. Let x(b) = 1. What is l*r(c) - 12*x(c)? -2*c**2 Let u(a) = -5*a**2 - 6*a - 11. Suppose 0 = 8*z - 54 + 230. Let g(w) = w**2 + w + 2. Determine z*g(c) - 4*u(c). -2*c**2 + 2*c Let w(q) = -q + 3. Let y(d) = -2. Suppose 3*z - 3*j = 18, 3*z - 2*j + 2 = 8*z. What is z*w(l...
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) z (b) 0.1 (c) -2 c Let r = -18795 - -18797. What is the fourth biggest value in 2/3, r, 238, 2/15? 2/15 Let i = -0.3315 + 0.3315. Let d = -1/5 + 8/15. Let l = -463/4 + 115. What is the third biggest value in i, l, d? l Let f = -7.044 + 7.62. Let r = 2.424 + f. Which is the third smallest value? ...
{ "pile_set_name": "DM Mathematics" }
uppose w + 21 = 4*h + 4, -w + p = 5*h. Calculate the remainder when 10 is divided by h. 2 What is the remainder when 47 is divided by 36/(-60) - 168/(-5)? 14 Suppose -155 = -3*f - 4*o, -7*f = -9*f + 3*o + 126. Calculate the remainder when f is divided by 15. 12 Suppose 0 = 5*v - 4*c - 19, -2*v + 3*c = -0*v - 2. Suppose...
{ "pile_set_name": "DM Mathematics" }
*s + 78*m*s What is the third derivative of -a**2*y**3 - 1501*a**2*y**2 - 3*a**2*y + 2*a*y**3 + 388*y**6 wrt y? -6*a**2 + 12*a + 46560*y**3 What is the derivative of 216*h**2*w - 390*w wrt h? 432*h*w What is the third derivative of 221*x*y**4 + 3*x*y**3 - 2879*x*y**2 wrt y? 5304*x*y + 18*x What is the second derivative...
{ "pile_set_name": "DM Mathematics" }
*t**3 - 33*t + 33*t). -21*t**4 - 21*t**3 Expand 11*z + 14*z**5 - 11*z + (6*z**4 - z**4 - 3*z**4)*(3*z - 2*z - 3*z). 10*z**5 Expand (-x**4 + 2*x**4 + x**4)*(0*x + 2*x - 3*x + (-1 + 6 - 3)*(0*x - x + 2*x)). 2*x**5 Expand -u**2 - 2*u**3 + u**2 - 2*u**3 + 5*u**3 - 2*u**3 + (1 - 1 + 2*u)*(1 - 1 + 2*u**2) + 0*u**3 + u**3 + u...
{ "pile_set_name": "DM Mathematics" }
common denominator of -87/590 and 67/45? 5310 Calculate the common denominator of -163/132 and 13/6. 132 What is the smallest common multiple of 16092 and 27? 16092 Find the common denominator of 31/5 and 36/11. 55 What is the common denominator of 17/116 and -25/12? 348 Find the common denominator of -149/36 and -33/...
{ "pile_set_name": "DM Mathematics" }