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ulate the remainder when 106 is divided by (0 - (-2 + -52))*a/(-4). 25 Suppose a = r + 9084, 15*a + 5*r = 10*a + 45430. Calculate the remainder when a is divided by 32. 29 Let m(q) = -q**3 - 10*q**2 + 29*q + 446. What is the remainder when m(-9) is divided by ((-2 - -1) + 2)*5? 4 Let d(m) = -m**3 - 9*m**2 - 22*m + 12. ...
{ "pile_set_name": "DM Mathematics" }
x**3 + x**2 - 1. Let l(s) = -12*s**4 + 12*s**3 - 16*s**2 + 16. Let w(h) = l(h) + 16*r(h). Find o, given that w(o) = 0. 0, 1 Let p = 103 - 100. Determine o so that 21/4*o**2 + 3/2*o**p - 9*o**4 - 3/4 - 6*o**5 + 0*o = 0. -1, -1/2, 1/2 Suppose t + 0*t + 2 = 0. Let l(o) = -o**4 + 8*o**3 + 15*o**2 + 8*o + 2. Let n(b) = -b**...
{ "pile_set_name": "DM Mathematics" }
- 2*d*t**3 + d*t**2 + 21*t**2 wrt t? -2040*d*t**2 - 12*d Find the second derivative of -4235*p**4 - 4*p - 39. -50820*p**2 Find the first derivative of -12*b**4*h**3 + 6*b**4*h**2 - 71*h**3 + 2*h wrt b. -48*b**3*h**3 + 24*b**3*h**2 Differentiate 18*f**2*o**2*w + 3*f**2*o*w + 59*f**2 + 48*f*o**2 wrt w. 18*f**2*o**2 + 3*f...
{ "pile_set_name": "DM Mathematics" }
the closest to f? (a) -5 (b) -4 (c) o b Suppose 3 = -5*d - 3*q + 18, 3*d = -3*q + 3. Suppose 8*s = 5*s - d. Which is the nearest to -0.1? (a) 1/6 (b) s (c) 2 a Let z be (-4)/18 - (-44)/36. Let i be -1 + 144/(-68) - -3. Which is the closest to z? (a) -2 (b) -4 (c) i c Let f(r) = -r**3 + 4*r**2 + 4*r + 2. Let n...
{ "pile_set_name": "DM Mathematics" }
1. Solve -2 = -v - v - 4*n, -4*v - 4*n = g for v. -5 Let c(z) = -2*z - 2. Let x be c(-2). Let g be (x/(-6) + 0)*3. Let r = 4 + g. Solve 2*s + r*j = 2*j - 2, -3*s = -j + 8 for s. -2 Let n = 10 + -40. Let y = n - -32. Solve -a + 7*q - 8 = 3*q, 0 = -q + y for a. 0 Let m = 7 - -32. Let c = m - 37. Solve -5*z - 4*b - 6 = 0...
{ "pile_set_name": "DM Mathematics" }
j**20 Simplify (s**(-2/17)/(s**(-3/7)/s))/(s**(1/3))**(-1/44) assuming s is positive. s**(20711/15708) Simplify ((z**(-1/11)/z)/z)/z**23 assuming z is positive. z**(-276/11) Simplify (y**1/y*y)**(3/7) assuming y is positive. y**(3/7) Simplify o*(o*(o**(-1/7)/o*o)/o)/o*o*o**14 assuming o is positive. o**(104/7) Simplif...
{ "pile_set_name": "DM Mathematics" }
*3 - 1 + 2*m + 0. Let z be s(-3). Let n(u) = 17*u + 2. Calculate the remainder when 73 is divided by n(z). 16 Let g = 120 - 48. Suppose -5*u + 38 = 3*z + 6, -4*z + 3*u = -91. What is the remainder when g is divided by z? 15 Let w(u) = 38*u**2 - 7*u - 6. Calculate the remainder when w(-1) is divided by 3. 0 Let s = 0 - ...
{ "pile_set_name": "DM Mathematics" }
82 + 8.918. Which is the biggest value? (a) i (b) n (c) -3 a Suppose 0 = -5*p + 5*m - 10, -3 + 1 = 3*p - m. Suppose p = -27*k + 14*k + 52. What is the third smallest value in -2/21, -0.5, -3/4, k? -2/21 Let p = -783 + 862.6. Let u = p - 50.6. Which is the third smallest value? (a) -4 (b) -0.2 (c) u (d) 2 d Suppo...
{ "pile_set_name": "DM Mathematics" }
*w - 5*o - 35 = -12 for w. 1 Suppose 18 = -7*t + 13*t. Solve 2 - 14 = i + 5*v, 24 = 5*i - t*v for i. 3 Let i be -3 - 3*(-2)/2. Let k be 2 + (i - 1) + 4. Let v(n) = 2*n - 7. Let g be v(5). Solve 4*p = -k*u - 0*p + 4, -16 = -g*u + p for u. 4 Let x(r) = 2*r - 11. Suppose 0 = -a + 3*a - 20. Let b be x(a). Suppose -6 = 3*c ...
{ "pile_set_name": "DM Mathematics" }
-s + 5*k for s. 0 Let g = 88 - 83. Solve z + 5*b = -g, 5*z = 6*b - 2*b + 33 for z. 5 Let g(q) = -7*q - 1. Let m be g(-1). Suppose 2*p - 2 = f - 8, m = -2*p. Solve -3*o = 5*u - o - 33, f = u - 3*o + 7 for u. 5 Let a(v) = -v**3 - 3*v + 1. Let r be a(2). Let c = r + 24. Solve -4*z - 3*h = 5, 3*h + c = 5*z - 3*z for z. 1 S...
{ "pile_set_name": "DM Mathematics" }
28800)/423. 68 Evaluate (57 + -144)/(51/(-10) - 33/(-55)). 58/3 What is the value of (-2)/(-76)*-113*(-80)/4520? 1/19 What is the value of (-44 - (-4059)/164) + 18? -5/4 Evaluate (101/303)/((-1)/123). -41 What is 710/71 - 2844/(-54)*1*3/(-11)? -48/11 4301/255 - (46/42 - 1030/721) 86/5 What is (50 + (4669056/1470)/(-64)...
{ "pile_set_name": "DM Mathematics" }
+ 3/4*t**f - 3/2*t**2 - 3/4*t = 0. -1, 1, 2 Let i(b) be the first derivative of -3*b**2 + 2/3*b**3 - 8*b - 172. Factor i(z). 2*(z - 4)*(z + 1) Let f(b) be the third derivative of b**5/240 - 139*b**4/48 + 19321*b**3/24 - 447*b**2. Factor f(c). (c - 139)**2/4 Let w(i) be the first derivative of 37 - 8/3*i**2 - 2*i + 2/1...
{ "pile_set_name": "DM Mathematics" }
3, 2, -3, -6 Put -83, -1145, 1 in increasing order. -1145, -83, 1 Put 1, 1/7, -1/13, 5, -0.1 in increasing order. -0.1, -1/13, 1/7, 1, 5 Sort 2977, 1, 3, 5, 8, -2 in increasing order. -2, 1, 3, 5, 8, 2977 Put 0.35, -0.03, -0.5, 2, -4, 0.07 in decreasing order. 2, 0.35, 0.07, -0.03, -0.5, -4 Put -0.02, 0.04, 3, 0.2177, ...
{ "pile_set_name": "DM Mathematics" }
*(-6)*h)/h*(h/h**(9/4))/h**8 assuming h is positive. h**(-163/12) Simplify (p**15*p)/p*p**6 assuming p is positive. p**21 Simplify g**14/((g/(g/(g/g**(5/8))))/g) assuming g is positive. g**(117/8) Simplify b/b**5*b**(2/9)*b**(-7)/b*b**(1/9) assuming b is positive. b**(-35/3) Simplify (g/g**(-3/7))/g**(3/7) assuming g i...
{ "pile_set_name": "DM Mathematics" }
4*o)*(-3*o**4 + 197*o**3 + 3 - 204*o**3 - 6). -6*o**5 - 14*o**4 - 6*o Expand 470*u - 16*u**4 - 470*u + (-1 + 4 - 1)*(-667*u + 658*u - 3*u**4 + 5*u**4). -12*u**4 - 18*u Expand 2*d - 2*d - 3*d**3 + (0 + 0 - d**2)*(-1 + 1 + 2*d) + (3 + 0 - 1)*(-13 + 6 + 4)*(-4*d**3 - 7 + 7). 19*d**3 Expand 90*s + 4*s + 108*s + (-1 + 5 - ...
{ "pile_set_name": "DM Mathematics" }
t b be l(-8). Let k(o) = -b*o - 5*o**2 + 3*o - 2*o**3 - 1 + o**3. What is the remainder when 23 is divided by k(-5)? 9 Suppose -17 = -4*h + 3, -20 = -3*l + 5*h. What is the remainder when 27 is divided by l? 12 Let r be -1 + (-10)/(-14) - (-111)/21. Calculate the remainder when ((-20)/r)/2 + 47 is divided by 24. 21 Sup...
{ "pile_set_name": "DM Mathematics" }
+ 1 - 1)*(-2*z + 3 - 3) + (1 - 4 + 1)*(4*z - z - z) - z - 3 - 3*z + 5*z + 2*z - 3*z - 2*z. -4*z - 3 Expand (-k**2 - k**2 + 4*k**2)*(-2 + 2 - k**2) + (-5202 + 5202 + 2315*k**2)*(5*k**2 - 4*k**2 + 0*k**2). 2313*k**4 Expand (-z**3 + 0*z**3 + 0*z**3)*(2*z + 4 - 4)*(-263*z - 818*z + 85*z). 1992*z**5 Expand (3*r**3 - r**3 - ...
{ "pile_set_name": "DM Mathematics" }
re between 8:45 AM and 7:45 PM? 660 What is 209 minutes after 7:08 AM? 10:37 AM How many minutes are there between 10:16 AM and 12:28 PM? 132 How many minutes are there between 5:26 AM and 12:07 PM? 401 What is 69 minutes before 1:26 AM? 12:17 AM What is 41 minutes after 7:10 AM? 7:51 AM How many minutes are there betw...
{ "pile_set_name": "DM Mathematics" }
f? True Let j(d) = -d**2 - 8*d - 2*d**2 - d**2 + 5 + 3*d**2. Let t be j(-8). Is 7 a factor of 67/t - (-8)/(-20)? False Let u(j) = 493*j - 193. Does 11 divide u(7)? False Suppose 71*u - 51*u = 8820. Does 63 divide u? True Let r(j) = 102*j - 180. Does 36 divide r(6)? True Let d(c) = -c**2 - 11*c - 5. Let x be d(-5). Sup...
{ "pile_set_name": "DM Mathematics" }
a*s**2 + o*s and give a. -1 Rearrange 0*z + z**3 + 0*z + (1 - 1 + z)*(-z**2 + z**2 + z**2) + 13*z**3 - 3*z**2 - 11*z**3 + z**2 to the form x*z + s*z**3 + u*z**2 + w and give s. 4 Rearrange (0 + 0 + 1)*(-5*h**2 + 0*h + 0*h - 3*h**2 + 5*h**2 + h**2 + (-6*h**2 + 2*h**2 + 2*h**2)*(-3 + 3 + 2)) to u*h**2 + j*h + b and give ...
{ "pile_set_name": "DM Mathematics" }
and 124507630. 124507631 -2851+208.837 -2642.163 -1 + -4190443 -4190444 Work out 0.8 + -0.86471. -0.06471 Calculate 17.1 - 25772869. -25772851.9 What is -0.0952 take away -2.669? 2.5738 Total of -6491784 and 3. -6491781 1090949692 + 0.5 1090949692.5 Put together -0.2 and 6.385583. 6.185583 Add 5607823 and -0.2. 5607822...
{ "pile_set_name": "DM Mathematics" }
81538? -181538 Is -345544/65 >= -5315? False Which is greater: 26088431 or 26088430? 26088431 Which is greater: 9/10 or -155.6? 9/10 Which is smaller: -53387017/13 or -4106693? -53387017/13 Which is smaller: -35/3416333 or 1? -35/3416333 Is -15051517 at most -165566677/11? True Which is smaller: -576440 or -576429? -57...
{ "pile_set_name": "DM Mathematics" }
: 3}? 3/26 What is prob of sequence ez when two letters picked without replacement from jceeczccezojcece? 1/24 Three letters picked without replacement from {c: 6, s: 1, m: 2, v: 3, j: 2, u: 1}. What is prob of sequence vsc? 3/455 What is prob of sequence ssse when four letters picked without replacement from {s: 7, e:...
{ "pile_set_name": "DM Mathematics" }
a(d) wrt d? 813*d**2 Let d(t) = 2*t**3 - t**2 + 3*t - 6. Let p be d(2). What is the second derivative of -p*r**2 + 0*r**2 - 32*r**2 - 13*r - 13*r**2 wrt r? -114 Let p(l) be the first derivative of -7*l**6/30 + l**3/2 - 5*l**2 - 5*l + 4. Let s(u) be the first derivative of p(u). Find the second derivative of s(t) wrt t....
{ "pile_set_name": "DM Mathematics" }
). What is k(r)? 1 Suppose 0 = 98*g - 96*g - 40. Suppose -j - 4*t = -2*j - 2, -3*j = 2*t + g. Let p(r) = -r**2 - 6*r + 1. Give p(j). 1 Let w(i) be the third derivative of i**6/120 + 7*i**5/60 - 5*i**4/12 - 7*i**3/6 + 7*i**2 - 3. What is w(-8)? 9 Let b(r) be the third derivative of -r**4/2 - 18*r**2. Calculate b(2). -24...
{ "pile_set_name": "DM Mathematics" }
(sqrt(2)*1) - (-5*sqrt(102)/sqrt(6) + 4*-3*sqrt(17)))**2. 8990 Simplify ((sqrt(255) - -1*(1*sqrt(255) - sqrt(255)))/((sqrt(245) - -2*sqrt(245)) + sqrt(245) - sqrt(245)))/(6*(sqrt(30)/(sqrt(5)*-2))/sqrt(2)). -sqrt(17)/63 Simplify ((2*sqrt(252)*-1)/(2*sqrt(588)))/((5*sqrt(12)/sqrt(2))/(sqrt(2) + -2*(sqrt(18) + sqrt(2))))...
{ "pile_set_name": "DM Mathematics" }
a - 619094 What is the p'th term of 72, 230, 662, 1506, 2900, 4982, 7890, 11762? 23*p**3 - p**2 + 50 What is the f'th term of -6342, -6339, -6334, -6327? f**2 - 6343 What is the s'th term of -1024, -878, -634, -292, 148, 686? 49*s**2 - s - 1072 What is the b'th term of 400, 1586, 3560, 6322? 394*b**2 + 4*b + 2 What is ...
{ "pile_set_name": "DM Mathematics" }
-7 8 + ((-5976)/504 - (-16)/(-14)) -5 Evaluate ((-169)/(-7) - -3) + 495/(-231). 25 What is the value of (0 + (-5 - -4))*(-22 - -12)? 10 (4/((-12)/3))/(3 - 2) -1 What is ((-2)/(-24))/((-576)/3072)? -4/9 What is the value of 7/3 + (-1520)/528? -6/11 (85/68 + 3)/(1/(-4)) -17 Calculate 213/1136 - 3451/(-112). 31 1/20*(-10)...
{ "pile_set_name": "DM Mathematics" }
/14 What is the second smallest value in 36, 15, -5/4? 15 Which is the fourth smallest value? (a) -2/13 (b) -1 (c) -0.4 (d) 2 (e) 0.64 e Which is the third biggest value? (a) 2 (b) 4/3 (c) -0.47 (d) -5 c Which is the biggest value? (a) 4 (b) -19 (c) 0.4 a Which is the third smallest value? (a) 4 (b) -5 (...
{ "pile_set_name": "DM Mathematics" }
0. Let b(d) = -d**2 - 20 + d + 20. Let j(l) = l + 1. Calculate p*j(g) + b(g). -g**2 + 2*g + 1 Let g(u) = -14*u**2 + 3*u - 14. Let y be 7/((-28)/16) + 12. Suppose 2*m - 2 = y. Let k(r) = 8*r**2 + 7 - 2*r + r**2 + 2. Give m*g(h) + 8*k(h). 2*h**2 - h + 2 Let k be 15/20 - 1/(-4). Suppose 23 = -16*w + 71. Let t(o) = -o - 1....
{ "pile_set_name": "DM Mathematics" }
a be 1*2*3*(-5)/(-5). Let t be (-3)/9 - (-2)/a. Factor 4/5*u - 2/5*u**2 + t. -2*u*(u - 2)/5 Suppose -96*o + 144 - 3/2*o**3 + 21*o**2 = 0. Calculate o. 4, 6 Let k(b) = 3*b**4 + 43*b**3 + 2*b**2 - 48*b. Let c(y) = -2*y**4 - 22*y**3 - y**2 + 25*y. Let u(r) = -10*c(r) - 6*k(r). Factor u(p). 2*p*(p - 19)*(p - 1)*(p + 1) Let...
{ "pile_set_name": "DM Mathematics" }
2 - 2*u + 1. Let r = 1 - 0. Let d be f(r). Solve -j + p*j = d for j. -3 Suppose 2*k + 31 = 3*k. Suppose 4*f - 2*u + 84 = 0, 2*f - 3*u = 2*u - 42. Let x = k + f. Solve -5*g = -x*g for g. 0 Suppose 7*v - 15 = 4*v. Let g(k) = -k**3 - 4*k**2 + 15*k + 52. Let t be g(-5). Solve -t = v*n - 22 for n. 4 Let a = 100 + -92. Solve...
{ "pile_set_name": "DM Mathematics" }
- 8*j/3 - 22. Factor c(v). -4*(v - 2)*(v - 1)*(v + 1)/3 Suppose -78*b - 299 = -455. Factor 0*d + 2/9*d**4 + 0 - 2/9*d**b + 0*d**3. 2*d**2*(d - 1)*(d + 1)/9 Suppose -14*p + 10*p = -664. Find g, given that p*g**3 - 89*g**3 - 81*g**3 - 16*g - 48 + 28*g**2 = 0. -1, 2, 6 Let s(t) be the first derivative of 3*t**4/16 + 3*t*...
{ "pile_set_name": "DM Mathematics" }
, -979, -1053? -1145 What is the next term in 488, 982, 2328, 4952, 9280, 15738, 24752, 36748? 52152 What comes next: -2008, -4015, -6036, -8077, -10144, -12243? -14380 What is next in 61740, 61748, 61756, 61764? 61772 What is the next term in 12, 69, 172, 321? 516 What comes next: 38500, 77011, 115522, 154033? 192544 ...
{ "pile_set_name": "DM Mathematics" }
ive of g**4*k**3 + 96*g**4 + 3044*g*k**3 wrt g. 12*g**2*k**3 + 1152*g**2 Find the third derivative of 76*g**3*h**3 - 2*g**3*h**2 + 983*g**2*h**2 + 9*g*h**3 wrt h. 456*g**3 + 54*g Find the second derivative of -5*d**3*g + 211*d**2*g + 36*d*g - d + 3*g wrt d. -30*d*g + 422*g What is the first derivative of -569*x**3 - 11...
{ "pile_set_name": "DM Mathematics" }
2*c + 1. Factor b(u). -5*(u - 528)*(u + 2)**2 Let o(j) be the first derivative of j**5/70 + j**4/14 - 13*j**3/21 - 15*j**2/7 + 95*j + 84. Let p(n) be the first derivative of o(n). Factor p(w). 2*(w - 3)*(w + 1)*(w + 5)/7 Let l(b) be the second derivative of b**6/3240 - b**5/27 + 50*b**4/27 + 191*b**3/6 + 5*b - 2. Let k...
{ "pile_set_name": "DM Mathematics" }
s be -3 - 20/i - (-2 + 1). What is the second smallest value in n, s, 0? n Let t = -0.1 - -0.2. Let k = 5.9 - -32.1. Let b = 33 - k. What is the second smallest value in b, 2, t? t Let d = 647 - 645. Let h = -0.3 - -1.3. What is the second smallest value in h, d, 0.3? h Let s = 5 - 5.3. Let m = -305 + 2437/8. Let f = ...
{ "pile_set_name": "DM Mathematics" }
). 18 Suppose -2*n + 5 = -1. Suppose 0 = 29*u - 17 - 34 + 22. What is the smallest common multiple of u and n? 3 Let v(i) = -2*i**2 + 58*i - 1. Let x be v(30). Let w = 69 + x. Calculate the least common multiple of w and 36. 72 Calculate the common denominator of (-13)/((-702)/(-4))*(3 - (-637)/(-28)) and 25/4818. 4336...
{ "pile_set_name": "DM Mathematics" }
47 List the prime factors of 7226128. 2, 7, 13, 709 What are the prime factors of 24306344? 2, 3038293 What are the prime factors of 15594596? 2, 41, 95089 List the prime factors of 423037. 127, 3331 What are the prime factors of 2634750? 2, 3, 5, 1171 What are the prime factors of 29194? 2, 11, 1327 List the prime fac...
{ "pile_set_name": "DM Mathematics" }
4). Calculate the common denominator of -47/2 and 6/z - (-483)/(-60). 20 Let t(s) = -s**3 - 8*s**2 + 6. Let k be t(-8). Find the common denominator of 11/9 and 129/k*(-2)/11. 99 Suppose -k + 10 = 4. What is the least common multiple of k and 32? 96 Let w be 83/(-53)*7/(-4). Let o be (2/(-424))/(1/2). Let f = w - o. Cal...
{ "pile_set_name": "DM Mathematics" }
Let j = 90464 - f. Round j to the nearest 1000000. 0 Let a = -62.9 + 35.6. Let r = 6.9 + a. Let c = r + 13. Round c to the nearest integer. -7 Let n(w) = -7549*w - 15. Let b be n(-5). What is b rounded to the nearest 10000? 40000 Let d = -39 + 39. Let p = 0.22 + d. What is p rounded to one decimal place? 0.2 Let v = -...
{ "pile_set_name": "DM Mathematics" }
et p(u) = 1183*u**3 + 3*u**2 - 4*u - 7. Let w(m) = p(m) - 3*z(m). What is the second derivative of w(b) wrt b? 7152*b - 6 Suppose 3*j + 1 = z - 17, -5*j = -2*z + 31. What is the third derivative of 78*g**2 + 48*g**3 - 4*g**z + g**3 - 19*g**2 wrt g? 270 Let a = -2649 + 2649. Let s(o) be the first derivative of 0*o**4 + ...
{ "pile_set_name": "DM Mathematics" }
w)? 3 Let t be 6/(16 + 2) - 16/(-6). What is the tens digit of (10/(-8))/(t/(-204))? 8 Let m = 3433 + -462. Let w = -2059 + m. What is the units digit of w? 2 Suppose -5*o + 37*p = 31*p - 97941, 0 = 2*o - 4*p - 39178. What is the units digit of o? 7 Suppose 40*a = 58*a - 64782. What is the tens digit of a? 9 Suppose 14...
{ "pile_set_name": "DM Mathematics" }
- 4. Let y(k) = -3*k + 2. Calculate -2*q(t) - 3*y(t). t - 4 Let h(z) = 5875*z**3 - 376*z**2 + 376*z - 376. Let t(n) = -47*n**3 + 3*n**2 - 3*n + 3. Give 3*h(s) + 376*t(s). -47*s**3 Let b(t) = -8*t**3 + t**2 + 5*t. Suppose 5*s - 3*w = 10, -22 = -3*s - 5*w + 10*w. Suppose -18 = 4*y - y. Let c(n) = n**3 - n. Determine s*b(...
{ "pile_set_name": "DM Mathematics" }
531107 wrt u. 4*u + 4293503 What is the third derivative of 791*f**2*g**4 + 24*f**2*g**3 - 31*f**2*g + 2*g**3 - 7226*g**2 wrt g? 18984*f**2*g + 144*f**2 + 12 What is the derivative of -2*t**4 - 7664017*t - 8053036? -8*t**3 - 7664017 What is the second derivative of d**3*z**2 - 724*d**3 + 12994309*d*z**5 + d*z + 331*d -...
{ "pile_set_name": "DM Mathematics" }
1.9? (a) 0.3 (b) -2 (c) -0.3 (d) -0.1 (e) -0.145 b Which is the closest to 247? (a) -1 (b) 1 (c) -2/3 (d) -3 (e) 3 e What is the nearest to 5 in 3/43, 9, 2/3, -5, -3/5? 9 Which is the closest to 2? (a) -27/5 (b) -85 (c) 12 (d) -0.1 d Which is the nearest to -2? (a) -0.2 (b) 4 (c) -89 (d) 1 a What is t...
{ "pile_set_name": "DM Mathematics" }
**2*(n - 1)*(n + 1)/5 Let f(m) be the first derivative of m**5/150 - m**4/30 + 3*m**2/2 - 2. Let n(v) be the second derivative of f(v). Factor n(p). 2*p*(p - 2)/5 Let k(y) = -39*y**2 - 117*y - 78. Let v(s) = 3*s**2 + 9*s + 6. Let x(r) = 2*k(r) + 27*v(r). Determine i so that x(i) = 0. -2, -1 Let b(o) = -o**3 - o**2 - 3*...
{ "pile_set_name": "DM Mathematics" }
5 (c) -2/109 (d) -2 (e) 1 a Which is the second smallest value? (a) -1/6 (b) -2/11 (c) -1 b What is the second biggest value in -27, -3, -5? -5 What is the third smallest value in 0.5, 3, 4/25, -2, 0.057? 4/25 What is the fourth biggest value in -12/71, -0.2, -2/11, 2, 0? -2/11 What is the fourth biggest value in...
{ "pile_set_name": "DM Mathematics" }
our letters picked without replacement from aaaayyyaaayayyya. Give prob of picking 1 a and 3 y. 9/52 Three letters picked without replacement from {c: 2, n: 3}. What is prob of picking 1 n and 2 c? 3/10 Calculate prob of picking 1 g and 3 l when four letters picked without replacement from {g: 9, l: 3}. 1/55 Three lett...
{ "pile_set_name": "DM Mathematics" }
c - 3*c + 24. Calculate the remainder when s is divided by c. 8 Suppose 4*l - 76 - 156 = 0. What is the remainder when l is divided by 16? 10 Suppose 2*p - 2*a + 5*a - 5 = 0, -15 = -4*p - 5*a. Let o = p + -4. What is the remainder when 10 is divided by o? 4 Let t be (1 + 1)/((-4)/(-22)). Let g = t + -15. Calculate the ...
{ "pile_set_name": "DM Mathematics" }
*p**(2/17)*p**(-2/19)*p**(-2) assuming p is positive. p**(650/323) Simplify ((u/(((((u**6/u*u)/u)/u)/u)/u))/((u/(u*u**(2/9)*u*u))/u))/(u**(-7)/u**4) assuming u is positive. u**(119/9) Simplify (f**(1/4)/((f**0*f)/f))**(-1/4) assuming f is positive. f**(-1/16) Simplify (o*o**(-1)/o)**40/((o*o/o**6)/(((o/(((o/((((o**(-5)...
{ "pile_set_name": "DM Mathematics" }
3*o**5/20 + 5*o**4/12 + o**3/3 - 32*o + 7. Calculate g(-3). -42 Let f(v) = v**3 - 8*v**2 + 7*v + 8. Let o be f(7). Let l = 4 - o. Let t(i) = -5*i - 9. Let c(j) = 2*j + 4. Let w(m) = -7*c(m) - 3*t(m). Give w(l). -5 Let n(b) = -b**3 - 9*b**2 - 8*b + 1. Let l be 8/6 + (-1540)/165. Calculate n(l). 1 Let x(w) = -45 - 47 + ...
{ "pile_set_name": "DM Mathematics" }
3*o**2 to the form z*o**3 + m*o**2 + c + s*o and give z. 3 Rearrange (-s**2 - 5*s + 5*s)*(80 - 63 + 4*s - 89) to n*s**3 + d + g*s + f*s**2 and give n. -4 Express (2 - 4 - 1)*(g - g - g) + 33 - 70 - 30*g + 35 - 4 + 4 - 7*g in the form n + z*g and give z. -34 Rearrange (-2 + 3 + 0)*(7 + 4*r - 7) to k*r + w and give k. 4 ...
{ "pile_set_name": "DM Mathematics" }
136? False Does 211 divide 1899? True Is 24 a factor of 3312? True Does 3 divide 2013? True Does 31 divide 2666? True Is 104 a multiple of 13? True Does 9 divide 236? False Is 34 a multiple of 17? True Is 364 a multiple of 14? True Does 2 divide 269? False Is 11 a factor of 3280? False Is 79 a factor of 5305? False Doe...
{ "pile_set_name": "DM Mathematics" }
4 + 0 + 2). 120*s Expand (56 - 109 + 58 + (-3 + 0 + 5)*(-2 - 3 + 3))*(-6056*k**2 - 8*k**3 + 6056*k**2 + 2*k + 2*k**4). 2*k**4 - 8*k**3 + 2*k Expand -u**3 - u**3 + u**3 + (-3*u**2 - 1 + 1)*(2*u + u - u) + 20398*u - 20398*u + 387*u**3 + 4*u**2 + 2*u - 4*u**2 - 2*u**3 + 2. 378*u**3 + 2*u + 2 Expand (0 + 8 + 1)*(-1 + 4 - 2...
{ "pile_set_name": "DM Mathematics" }
)**2*(g + 201534)/3 Factor h**5/2 + 23*h**4 - 39819*h**3/2 - 464002*h**2 + 203495138*h. h*(h - 131)**2*(h + 154)**2/2 Find j, given that j**3 + 559*j**2 + 69384*j - 2506644 = 0. -294, 29 Determine l so that 7*l**4 + 90*l**3 + 65*l**2 - 930*l - 792 = 0. -11, -4, -6/7, 3 Factor -u**3 + 1143*u**2 + 56592*u + 686016. -(u -...
{ "pile_set_name": "DM Mathematics" }
lve -x*r - 8 = -3*r for r. -2 Let z be 56/16*10/7. Solve 0 = q + z for q. -5 Suppose 0 = 2*j - 8, 2*p - 14 = 6*j - 2*j. Suppose 5*u + 49 = 19. Let m = u - -11. Solve m*v - p = -0*v for v. 3 Let u(a) = 4*a + 140. Let q be u(-35). Solve 0 = -q*x + x - 3 for x. 3 Suppose 2*w = d - 2, 3*w + 6 = 2*d + 2. Solve 0*k - 10 = d*...
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 s and 2 x? 1/28 Calculate prob of picking 1 b and 1 q when two letters picked without replacement from qkzkzkb. 1/21 What is prob of picking 1 s and 1 q when two letters picked without replacement from {q: 9, s: 3}? 9/22 What is prob of picking 3 o and 1 m when four letters picked without repl...
{ "pile_set_name": "DM Mathematics" }
08 What is the common denominator of -31/108 and -34/81? 324 Find the common denominator of -169/60 and -64/75. 300 Calculate the common denominator of -23/88 and 47/88. 88 What is the smallest common multiple of 108 and 9? 108 What is the smallest common multiple of 5 and 318? 1590 What is the common denominator of 23...
{ "pile_set_name": "DM Mathematics" }
) v (b) -79/5 (c) -0.4 a Let o = -2/1871 + -1867/3742. Which is the biggest value? (a) 17 (b) -35 (c) o a Let f = -53.3 - -50. Let s = 0.7 - f. Let x = -192.5 - -188.5. Which is the smallest value? (a) -3/7 (b) x (c) s b Let g = -2.18 - 64.82. Let v = -76 - g. Suppose -30 = -2*z + 4*z + 5*i, 2*z - 2 = 3*i. Whic...
{ "pile_set_name": "DM Mathematics" }
e -3*n + 3*t + 168 = 0, -g + 162 = 2*n + t. What are the prime factors of n? 59 Let g = -17 - -9. Let q = -5 - g. List the prime factors of 70*(q - (-15)/(-6)). 5, 7 Let b(a) = -a**2 - 6*a + 4. Let n be b(-6). List the prime factors of 48/32 - (-586)/n. 2, 37 Suppose 23600 = 149*j - 141*j. List the prime factors of j. ...
{ "pile_set_name": "DM Mathematics" }
0086328144 to seven dps. 0.0008633 Round -0.0016400773 to 5 decimal places. -0.00164 Round 829.83525 to the nearest one hundred. 800 Round -15.7947415 to the nearest ten. -20 Round -85048129 to the nearest one hundred thousand. -85000000 What is 0.0058832735 rounded to four dps? 0.0059 Round 263701526 to the nearest 10...
{ "pile_set_name": "DM Mathematics" }
14/3 = 0. 2/5, 7 Factor z**2/3 - 184*z/3 + 413. (z - 177)*(z - 7)/3 What is l in -4*l**2 - 244*l - 1872 = 0? -52, -9 Solve 3*u**4/5 + 163*u**3/5 - 111*u**2/5 - 11*u = 0. -55, -1/3, 0, 1 Solve -90*p**5 - 645*p**4 + 620*p**3 + 140*p**2 - 160*p = 0. -8, -1/2, 0, 2/3 What is g in 2*g**2 - 174*g + 3640 = 0? 35, 52 Let 9*y**...
{ "pile_set_name": "DM Mathematics" }
base 7? -142 -100 (base 4) to base 11 -15 Convert 11 (base 2) to base 16. 3 What is -21 (base 14) in base 16? -1d What is 1 (base 7) in base 15? 1 2a (base 13) to base 12 30 What is -2e (base 16) in base 6? -114 2 (base 11) to base 6 2 What is -27 (base 15) in base 14? -29 Convert 22 (base 10) to base 8. 26 2102 (base...
{ "pile_set_name": "DM Mathematics" }
76 Collect the terms in b + 46*b**2 - 52*b**2 - b. -6*b**2 Collect the terms in -6*y - 4*y + 2*y. -8*y Collect the terms in 1293 - 83*g - 1293. -83*g Collect the terms in 1514 - 1514 - r**2. -r**2 Collect the terms in -10*i**2 + 5*i**2 - 2*i**2. -7*i**2 Collect the terms in -5*u**2 + 2*u**2 - 10*u**2. -13*u**2 Collect...
{ "pile_set_name": "DM Mathematics" }
s the third smallest value in d, 1, 46/13? 46/13 Let o = 26 + -22. Let t(q) = q**3 - 6*q**2 - 6*q - 2. Let s be t(7). Which is the second smallest value? (a) 1 (b) s (c) o c Let k = -3.413 - -10.413. Let q = 18/11 - 101/55. Which is the fourth smallest value? (a) q (b) -2 (c) k (d) -0.1 c Let h = -103/92 - -43/2...
{ "pile_set_name": "DM Mathematics" }
48616/3 Calculate -1862146 divided by 5. -1862146/5 Calculate 10941 divided by 3. 3647 Divide 11 by -668. -11/668 Divide -144 by 565. -144/565 -12890 divided by -2 6445 Divide 35640 by -2. -17820 Divide 1051732 by 2173. 484 Calculate 19799 divided by 1523. 13 What is 39416 divided by -4? -9854 -52 divided by 187 -52/18...
{ "pile_set_name": "DM Mathematics" }
5 to the nearest 100000. -200000 What is 103366.64 rounded to the nearest ten? 103370 Round 54151980 to the nearest ten thousand. 54150000 What is -0.00000129771 rounded to 7 decimal places? -0.0000013 Round 874469 to the nearest 100. 874500 What is -0.844827 rounded to one dp? -0.8 Round 0.000004754374 to seven dps. 0...
{ "pile_set_name": "DM Mathematics" }
llect the terms in 65326*m**3 + 0*m**2 - 65282*m**3 + m**2. 44*m**3 + m**2 Collect the terms in -5137*g - 2 + 2 + 0. -5137*g Collect the terms in 29 - 15 + 47 + 2*l**3 + 103. 2*l**3 + 164 Collect the terms in -862*g + 1349*g - 487*g - 3*g**2 - 3 + 3. -3*g**2 Collect the terms in 1346*f - 725*f - 622*f. -f Collect the t...
{ "pile_set_name": "DM Mathematics" }
of b(-2)? 7 Let w = 193 + -188. Suppose -1328 = -3*h + w*g, -42 + 482 = h + g. What is the units digit of h? 1 Let p be -9 + 6 - (-45)/1. Let u be 4/(2 - 80/p). Let v = -5 + u. What is the tens digit of v? 3 What is the tens digit of (-20 + (-60)/4)*(-7)/(147/9216)? 6 What is the units digit of (2 - 41508/(-30))/(18/9...
{ "pile_set_name": "DM Mathematics" }
n descending order. 5, -3, -4, -32 Put 2, 4/5, -2/15 in increasing order. -2/15, 4/5, 2 Sort 5, -54, -12 in descending order. 5, -12, -54 Sort 3, -22, -1 in ascending order. -22, -1, 3 Sort -0.4, -58, -2/3 in descending order. -0.4, -2/3, -58 Put 4, -58, 5, -7 in increasing order. -58, -7, 4, 5 Put 5, 0, -2019, 2, -5 i...
{ "pile_set_name": "DM Mathematics" }
409 How many weeks are there in 147327749.1 seconds? 243.59746875 What is 72.785ug in milligrams? 0.072785 Convert 2082.562 centuries to years. 208256.2 Convert 342734.1s to microseconds. 342734100000 Convert 2.220387 millilitres to litres. 0.002220387 What is 22/9 of a week in minutes? 24640 How many hours are there i...
{ "pile_set_name": "DM Mathematics" }
k = -1.2 + 0.7. Let z = -0.1 + -0.1. Let p = -3.8 + z. Put -4/7, k, p in descending order. k, -4/7, p Let m be 15/(-25) - (-57)/45. Let z = 2.1 - 4.1. Sort m, z, -6/7 in descending order. m, -6/7, z Suppose 21*b - 56 = 7*b. Put -4, b, -2 in ascending order. -4, -2, b Let j = -5 - -9. Let o be (10/(-15))/(j/(-18)). Sup...
{ "pile_set_name": "DM Mathematics" }
. 3/404086 What is -5802 divided by -5034? 967/839 Divide -1442350 by 910. -1585 What is 0 divided by 9966492? 0 What is -4226 divided by 498? -2113/249 Calculate 54779 divided by -239. -54779/239 Calculate 413561825 divided by 25. 16542473 Divide 3555524 by -2. -1777762 Divide -1 by -139796911. 1/139796911 -129744200 ...
{ "pile_set_name": "DM Mathematics" }
9)/9)/((-28)/(-3)). Let f = -575/3 - z. Let y = f - -1/7. Which is the smallest value? (a) y (b) 3 (c) -3 c Let d = -10.9 + -2.1. Let r = d - -8. What is the second smallest value in -0.2, r, 0.3? -0.2 Let x = 0.56 + -0.06. Which is the third smallest value? (a) 2 (b) x (c) 3/8 (d) 0.16 b Let s(t) = t**2 + 7*t +...
{ "pile_set_name": "DM Mathematics" }
. 2 Evaluate 18/28*7/6*-4. -3 Evaluate 14/7*(-6)/(-10). 6/5 ((-672)/70)/(-24)*(-2)/(-4) 1/5 Evaluate (-5)/4*4/1. -5 Calculate (-20)/12*456/190. -4 What is 8/(-3)*30/(-400)*-20? -4 Calculate ((-12)/16)/(51/(-136)). 2 2*(-2)/(-2)*7/14 1 1/((-32)/24*1/(-4)) 3 Evaluate 5/(-40)*8*(-7)/(-1). -7 (-30)/(-4)*26/39 5 4/6*(-2)/(4...
{ "pile_set_name": "DM Mathematics" }
**(-1/2)/(b**(2/11)/b*b**(-1/2))) assuming b is positive. b**(-263/66) Simplify (w**(-6)/w*w*w**12*w*(w*w**(-3)/w)**(-1/29))**(-29) assuming w is positive. w**(-206) Simplify ((l**(-33)/l**(1/49))/(l**(-2/97)/((l*l**(10/7))/l)))**16 assuming l is positive. l**(-2400928/4753) Simplify (x**8*x/((x/(x/((x**(3/13)/x)/x)*x)...
{ "pile_set_name": "DM Mathematics" }
uming t is positive. t**(-855/2) Simplify ((p*p/(p*p*p**1*p))/p*p)**(-44)*(p**5/p)/p*p**(-4/3) assuming p is positive. p**(269/3) Simplify ((b/b**(5/2)*b)/b)**(5/8) assuming b is positive. b**(-15/16) Simplify g**(-4/3)/(g/(g*g**19)) assuming g is positive. g**(53/3) Simplify (d**(3/4)/d)/d*(d/d**0)/d assuming d is pos...
{ "pile_set_name": "DM Mathematics" }
y - 48 + i. Is y a composite number? False Is 723/6 - 4/(-8) a composite number? True Let o(m) = 4*m**2 + 8*m - 17. Let g(a) = -7*a**2 - 16*a + 34. Let i(k) = -3*g(k) - 5*o(k). Is i(6) prime? True Let f(s) = s + 9. Let z be f(0). Is (z - 590)*(-2 + 1) a composite number? True Let i(q) = q**2 - 3*q - 5. Let b be i(5). S...
{ "pile_set_name": "DM Mathematics" }
hird derivative of -741*a**3*h**4 + 15*a**3*h + 52*a**3 - 19*a**2*h**4 - 10*a*h**2 wrt h. -17784*a**3*h - 456*a**2*h What is the second derivative of -447*d**5 + 85*d**3 + d**2*x**2 + 3155*d*x**2 - 3*d*x - x**2 - 9*x wrt d? -8940*d**3 + 510*d + 2*x**2 What is the second derivative of 486*n**3*u**2 - 954*n**3 + 8228*n*u...
{ "pile_set_name": "DM Mathematics" }
9 Rearrange (154 - 154 - 9*d**3)*(7*d - 7 + 7) + (2*d**3 - 5*d**3 + d**3)*(-2*d + 2*d - 2*d) to p*d**3 + y*d + h + r*d**2 + n*d**4 and give n. -59 Express 65*o**2 + 71*o**2 - 137*o**2 + 18*o**3 + 12*o - 9*o**3 as t + w*o**3 + x*o**2 + s*o and give s. 12 Rearrange (0*g**2 + 2*g**2 + g**2)*(3 - 1 - 3 + (-2 + 8 + 0)*(-5 +...
{ "pile_set_name": "DM Mathematics" }
16 = -2*u. Let q = g - -4. What is the units digit of q? 8 Let a(n) = -n**2 + 22*n - 40. What is the tens digit of a(14)? 7 Suppose -5*i + 7 = -3. What is the units digit of -1 + 9 - i - -3? 9 What is the tens digit of (-2)/((-4)/6) - (-80 - -2)? 8 Let v = 1 - -7. Suppose -v = -r - 4*x + 5, -3*x + 10 = r. What is the ...
{ "pile_set_name": "DM Mathematics" }
hat are the prime factors of 33791? 33791 List the prime factors of 165227. 127, 1301 What are the prime factors of 377576? 2, 109, 433 List the prime factors of 448215. 3, 5, 29881 List the prime factors of 310290. 2, 3, 5, 10343 List the prime factors of 35275. 5, 17, 83 What are the prime factors of 212211? 3, 17, 1...
{ "pile_set_name": "DM Mathematics" }
ivide j? True Let n be (8/10)/((-2)/45). Let c = -7 - n. Let b(v) = -2*v**2 + 29*v + 7. Is b(c) a multiple of 14? True Let d = 13 + -9. Suppose 0*u = -d*s - 3*u + 31, 2*u = 3*s - 2. Suppose s*p = -h + 209, 4*p - 5*h = -h + 184. Is 10 a factor of p? False Is 30 a factor of (3/7)/1 - (-12197514)/8134? True Let m(c) = -c*...
{ "pile_set_name": "DM Mathematics" }
Solve -47*m - 2*p - 78 = -43*m + 154, 0 = 7*p + 812 for m. 0 Solve 15*u = 2*g - 157, 11*g = 12*g + 2*u + 8 + 18 for g. -4 Solve 26*c = 45*c - 3*w - 63, 0 = -4*c + 2*w + 16 for c. 3 Solve 4*d + 4*n = -120, 4*n = 847*d - 849*d - 50 for d. -35 Solve -97*y = -10*b - 95*y - 42, 7*b + 47 = -3*y for b. -5 Solve -4*y = 84, -5...
{ "pile_set_name": "DM Mathematics" }
*r = -3*o - 15 for r. 0 Solve 3*f = -12, 0 = -j + 2*j + f for j. 4 Solve 2*t + 3*i = -18, -2*i = 5*t + i + 27 for t. -3 Solve 5*w + 19 = -s + 5, 2 = 2*w + 8*s for w. -3 Solve 3*t - 5*a + a = -17, -4*t - a = 10 for t. -3 Solve -4*a = -4*r - 51 + 95, 0 = 7*a - 3*r + 65 for a. -8 Solve 0 = 3*u + 4*n, 3*u - 5*n + 23 = u fo...
{ "pile_set_name": "DM Mathematics" }
(w + 1)**2/4 Suppose 285*z - 156*z = 138 + 120. Solve 121/4*c**z + 4 + 22*c = 0. -4/11 Suppose -216 = 5*k + 3*k. Let t = k - -30. Find s such that 21*s**3 - 6 - 42*s**3 + 9*s + 18*s**t = 0. -2, 1 Suppose 0 = -i - 2*c + 9, -2*i - 9*c + 4*c = -21. Determine w so that 33*w**i + 8*w**2 - 234*w**4 - 13*w**3 + 242*w**4 = 0. ...
{ "pile_set_name": "DM Mathematics" }
+ -5*(sqrt(396)*-2 - sqrt(396))*-2 + -2. -180*sqrt(11) + 1 Simplify ((-4*sqrt(960) - sqrt(960) - sqrt(960))/sqrt(5))**2 + (sqrt(1152) + -4*sqrt(1152))/sqrt(6). -24*sqrt(3) + 6912 Simplify (sqrt(81)*2*-5)/(((sqrt(3) - sqrt(27))*-3 - sqrt(3)) + sqrt(12)*2). -10*sqrt(3)/3 Simplify -3*(-3 + sqrt(363)*-2) - ((5 + (sqrt(363)...
{ "pile_set_name": "DM Mathematics" }
*c - 5. Determine -7*s(y) - 4*z(y). 5*y - 1 Let g(w) = 8*w**2 + 3*w - 5. Let p(h) = 4*h**2 + 2*h - 3. Suppose l = 4*j - 15, 3*j = -4*l + 26 - 10. Give j*g(x) - 7*p(x). 4*x**2 - 2*x + 1 Let z(o) = 4*o + 2. Let g(r) = r. Calculate 2*g(i) + z(i). 6*i + 2 Let t(a) = -6*a**3 - 3*a**2 + 3*a. Let j(w) = -w**3 + w. Let s(k) = ...
{ "pile_set_name": "DM Mathematics" }
516 In base 13, what is -6427239 + 3? -6427236 In base 11, what is -109 + 2a823? 2a715 In base 10, what is -34651 + -740? -35391 In base 14, what is 9 + -191800? -1917d5 In base 5, what is 4 + -213443111? -213443102 In base 7, what is 233253 + -105235? 125015 In base 5, what is -1141441 + 402132? -234304 In base 13, wh...
{ "pile_set_name": "DM Mathematics" }
*d - 114 What is the n'th term of 431, 1270, 2525, 4196, 6283, 8786, 11705? 208*n**2 + 215*n + 8 What is the r'th term of 236, 227, 212, 191? -3*r**2 + 239 What is the c'th term of -233, -667, -1103, -1541, -1981? -c**2 - 431*c + 199 What is the s'th term of 119, 446, 973, 1700? 100*s**2 + 27*s - 8 What is the s'th ter...
{ "pile_set_name": "DM Mathematics" }
-124.99. Let u = -1 + 23. Let w be (-6)/(-9) - u/6. Which is the third biggest value? (a) w (b) 6/11 (c) k a Let t = -36.6 + 37. Which is the second smallest value? (a) t (b) -5/2 (c) -0.1 c Let m = 1.3 - 1.7. Which is the second smallest value? (a) m (b) 3 (c) 0.5 c Let v = -19/9 - -22/9. Let a = 1 - 5. What...
{ "pile_set_name": "DM Mathematics" }
e common denominator of -47/1008 and -73/168. 1008 Find the common denominator of 74/69 and -77/2553. 2553 Calculate the lowest common multiple of 12 and 72. 72 What is the lowest common multiple of 8 and 1258? 5032 Calculate the common denominator of -181/960 and -145/756. 60480 What is the smallest common multiple of...
{ "pile_set_name": "DM Mathematics" }
+ 1) as o*d + i*d**3 + p + c*d**2 and give i. -23334 Rearrange (-163*x + 288*x - 191*x)*(-4 + 9 + 2 - 2*x**2) to the form u + w*x + y*x**2 + c*x**3 and give w. -462 Express (132*p - 132*p - 6*p**2)*(-15*p + 30*p + 35*p)*(3 - 4 - 1) in the form q*p**2 + r + u*p**3 + k*p and give u. 600 Express -265250 - 5144*n + 265250 ...
{ "pile_set_name": "DM Mathematics" }
-70? 1175 Divide 7327 by 11. 7327/11 32 divided by 2041 32/2041 Divide -33108 by -93. 356 Divide -47 by -25773. 47/25773 Calculate -54 divided by -421. 54/421 Calculate -105518 divided by -1. 105518 What is 143 divided by 5695? 143/5695 Calculate -42354 divided by -15. 14118/5 Divide -10213194 by -6. 1702199 What is 5 ...
{ "pile_set_name": "DM Mathematics" }
vative of 13*l + 0*l**2 + 0 + 0*l**3 - 1/12*l**4. Let d(f) = 18*f**2. What is d(n(a))? 18*a**4 Let l(f) = -3291*f + 1099*f + 1099*f + 1094*f. Let m(g) = 12*g + 1. Determine l(m(d)). 12*d + 1 Let v(d) = -d - 47. Let f(r) = -2*r**2 + 7*r + 0*r - 7*r. Determine v(f(c)). 2*c**2 - 47 Let j(a) = 5573*a**2 - 25*a - 50. Let t(...
{ "pile_set_name": "DM Mathematics" }
Factor -5/2*i**2 - 180 - 365/2*i. -5*(i + 1)*(i + 72)/2 Let q = 197111/26282 + 2/13141. Determine u, given that -25/2*u**2 + 10*u**5 + 0 + 25/2*u**4 - 5/2*u - q*u**3 = 0. -1, -1/4, 0, 1 Let v be 2/14 + 340/119. Suppose -32/3*j**2 + 0 - 20/3*j**v - 4/3*j**4 - 16/3*j = 0. What is j? -2, -1, 0 Let g be (-27)/(-6)*(27 - -7...
{ "pile_set_name": "DM Mathematics" }
pand -t - t + t + (5 + 7*t - 16*t + 8*t)*(-1 + 1 + 1). -2*t + 5 Expand (3*a - 4*a + 2*a + 11)*(2 - 3 + 0)*(-5 + 3 + 4). -2*a - 22 Expand 0*y**3 + y**3 + 0*y**3 + (4*y**2 + y**2 - 4*y**2)*(-y - 4*y + 3*y) + (-2*y + 2*y - 3*y)*(0*y + 0*y - 2*y**2). 5*y**3 Expand 1 - 2*t - 1 + (2*t - 1 + 1)*(-2 - 8 + 0). -22*t Expand (0 +...
{ "pile_set_name": "DM Mathematics" }
Rearrange 41917 - 83849 - 122*u**3 + 41912 to the form p*u + k + o*u**3 + w*u**2 and give k. -20 Express -10*n**3 + 77 - 150 + 77 - 3*n**3 + 2*n**3 + 2*n**3 + (-1 + 2 - 3)*(-4 - 8*n**3 + 4) in the form q*n**3 + m*n + f + t*n**2 and give f. 4 Rearrange -65*g**2 + 129*g**2 + 1584*g**3 - 62*g**2 + 1761*g**3 to m*g**2 + w*...
{ "pile_set_name": "DM Mathematics" }
*k**3 + 165817*k**3 with respect to c. 12*c*k**2 - 4477*k**3 What is the second derivative of 10958*q**5 - 112939*q? 219160*q**3 What is the derivative of -6*p**4*v**3 + 3496*p*v**3 - 2611*v**3 - v**2 + 8 wrt p? -24*p**3*v**3 + 3496*v**3 Find the first derivative of -4486*s**4 + s**3 - 4461. -17944*s**3 + 3*s**2 Find t...
{ "pile_set_name": "DM Mathematics" }