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to 7 in -1/3, 0.2, 3, y? 3 Let h = -1.4679 - -0.9679. What is the nearest to -947 in 4, h, 2? h Let q = 1 - 0.7. Let d be ((-8)/(-30))/(6/9)*11/(-33). Which is the nearest to -1? (a) d (b) -2/13 (c) q b Let z be (1/(-3))/((-54)/(-810)). Let d = 35.2 - 35. What is the nearest to 1 in z, 4/3, d? 4/3 Let p = -11 + 20....
{ "pile_set_name": "DM Mathematics" }
tive of -1/4*k**3 - 1/16*k**4 - 1/4*k - 3/8*k**2 + 13. Factor q(o). -(o + 1)**3/4 Factor -2/7*a**3 + 0 + 6/7*a**5 + 0*a**2 + 0*a - 4/7*a**4. 2*a**3*(a - 1)*(3*a + 1)/7 Let s be 3 + (2 - 3 - -1). Let z(h) = -2*h. Let r be z(-2). Factor -24*j**r + 19*j**4 - 5*j**2 - j - 2*j**s + 13*j**4. j*(j - 1)*(2*j + 1)*(4*j + 1) Let...
{ "pile_set_name": "DM Mathematics" }
ppose 2*q - 98 = 4*r, 3*q + 7*r - 122 = 8*r. Suppose 0 = k + z - 69, -79 = -2*k + z + 44. Let v = k - q. What are the prime factors of v? 5 Let x be (7 + (1 - 4))*1/2. Suppose x*m = f - 2, -f - 4*m + 31 = 11. What are the prime factors of f? 2 Suppose -z + 6*z = -2*a + 22, 4*z - 16 = 0. Let u be (a + 0)*(-22 + 11). Lis...
{ "pile_set_name": "DM Mathematics" }
+ -1). Suppose -4*q = -5*n - a + 98, -2*n + 32 = -2*q. Solve 2*z = 4*k - 14, -n = -5*k + z + 2*z for k. 3 Let u = 19 - 17. Suppose 2*d - 18 = t, u*d = 2*t - 7*t + 18. Let m be 1/d*-3*-66. Solve 6*x - x - 2*h + 23 = 0, -4*x - m = 2*h for x. -5 Suppose -5*z = -7*z + 14. Suppose m + 2*n = 1, -3*n = 3*m + 2*n + 1. Let w =...
{ "pile_set_name": "DM Mathematics" }
are there between 3:45 AM and 9:05 AM? 320 What is 60 minutes before 3:14 PM? 2:14 PM What is 159 minutes after 11:46 PM? 2:25 AM What is 679 minutes after 4:41 PM? 4:00 AM How many minutes are there between 4:14 AM and 5:07 AM? 53 What is 11 minutes before 5:56 AM? 5:45 AM How many minutes are there between 11:13 AM a...
{ "pile_set_name": "DM Mathematics" }
is -102 (base 3) in base 7? -14 Convert -33 (base 16) to base 2. -110011 152 (base 7) to base 11 79 What is 0 (base 7) in base 11? 0 14 (base 7) to base 9 12 What is -40 (base 8) in base 7? -44 3 (base 4) to base 5 3 What is 6 (base 8) in base 12? 6 What is 20 (base 16) in base 13? 26 What is -e (base 16) in base 7? -...
{ "pile_set_name": "DM Mathematics" }
+ 8*w**2 + 2*w - 5. Let k be b(-7). Let x be (-3 - 7)*94/(-4). List the prime factors of x/k - (-1)/6. 2 Let s(x) = -4*x**2 - 34*x + 13. What are the prime factors of s(-8)? 29 Let y = -112 - -172. Suppose -n = n + y. What are the prime factors of ((-44)/5)/(4/n)? 2, 3, 11 Suppose 4*i + 186 = 2*b, -5*b + 443 = -0*i + ...
{ "pile_set_name": "DM Mathematics" }
+ 3 + a - 3*a + a**3 + a**2. Let f(d) = -d. Let g(u) = 10*u - 5. Let z(w) = 18*f(w) + 2*g(w). Let l be z(3). Determine c(l). 2 Let w(z) be the first derivative of z**2 + 14*z - 171. Calculate w(-9). -4 Let r(q) = -q**3 + 3*q**2 + 4*q - 3. Suppose -39*p + 100 = -14*p. Determine r(p). -3 Let b(z) = -91*z - 91*z - 5 - z**...
{ "pile_set_name": "DM Mathematics" }
at 375*q**5 - 4275*q**4 - 34530*q**3 - 19662*q**2 - 3861*q - 255 = 0. -5, -1/5, 17 Factor 2*d**2/11 + 74*d/11 + 540/11. 2*(d + 10)*(d + 27)/11 Factor 4*d**3/3 + 4*d**2 - 8*d - 32/3. 4*(d - 2)*(d + 1)*(d + 4)/3 Factor 4*j**3/3 - 836*j**2 + 128068*j + 2813692/3. 4*(j - 317)**2*(j + 7)/3 Solve -10*j**3 + 395*j**2 - 575*j ...
{ "pile_set_name": "DM Mathematics" }
) = -1322*h - 171908. Calculate s(-130). -48 Let r(i) = 6*i**2 + 483*i + 5809. What is r(-66)? 67 Let t(s) = -s**3 - 17*s**2 + 652*s - 3790. Calculate t(11). -6 Let j(z) = 2491*z - 19123. Calculate j(8). 805 Let g(n) = -2307*n - 2018616. What is g(-875)? 9 Let p(z) = -9139*z - 658013. What is p(-72)? -5 Let i(c) = c**3...
{ "pile_set_name": "DM Mathematics" }
q be (-8)/(-6)*(-18)/(-12). Suppose -5*u = -4*g - 20, 5*g + 42 = -0*u + q*u. Let t = g - -7. Let x(i) = -3*i + 1. Give x(t). 10 Let k(p) = 13810395*p + 5*p**2 - 13810395*p + 2 + p**3. Suppose v + 20 = -3*v. What is k(v)? 2 Let d(w) = -w - 5. Let b = -12 + 17. Suppose 4*q - 12 = 0, b*q = -u - u + 21. Suppose u*m + 6 + ...
{ "pile_set_name": "DM Mathematics" }
ob of picking 2 b when two letters picked without replacement from tbttbtt? 1/21 Three letters picked without replacement from {c: 2, b: 8}. Give prob of picking 1 b and 2 c. 1/15 Calculate prob of picking 1 t, 1 e, and 1 b when three letters picked without replacement from {f: 2, b: 2, e: 2, t: 2}. 1/7 Three letters p...
{ "pile_set_name": "DM Mathematics" }
e of y(l) wrt l. 1500*l**3 Let p(s) be the first derivative of s**4/2 - 45*s**3 + 1839*s + 3811. What is the first derivative of p(f) wrt f? 6*f**2 - 270*f Let y(a) be the first derivative of 43 + 0*a - 69/2*a**2 - 53/3*a**3. Find the second derivative of y(u) wrt u. -106 Let k(c) be the first derivative of c**5/5 + 39...
{ "pile_set_name": "DM Mathematics" }
+ 15, a = -4*k + 5. Let v be ((-12)/(-10))/((-2)/(-5)). Solve -5*p + 17 = -l, 2*l - v*p + k = -p for l. 3 Suppose -2*x = -6*x + 72. Let s = 6 + x. Solve -4*a + 2*n - 4*n + s = 0, 0 = 5*a + 5*n - 40 for a. 4 Let n(s) = 3*s. Let c be n(-1). Let d = c - 2. Let h = -5 - d. Solve -2*o + 8 = 0, h = 2*p - 5*p + o - 13 for p. ...
{ "pile_set_name": "DM Mathematics" }
s the cube root of 12563 to the nearest integer? 23 What is 203427 to the power of 1/2, to the nearest integer? 451 What is 155741 to the power of 1/7, to the nearest integer? 6 What is the square root of 842 to the nearest integer? 29 What is the square root of 1249 to the nearest integer? 35 What is 10020 to the powe...
{ "pile_set_name": "DM Mathematics" }
et n = y + -4. Put 2, n, 4 in decreasing order. n, 4, 2 Let l = 126/5 + -129/5. Let k = -7 + 6.6. Sort 9, k, l. l, k, 9 Let y = 0.14 - -8.86. Let b = y - 5. Put -5, b, -2 in ascending order. -5, -2, b Let h(l) = l**3 + l**2 - l + 2. Let f be h(0). Suppose 0*y = y - w - f, 5*w = 15. Suppose -5*j + 0*j - 10 = 0. Sort y, ...
{ "pile_set_name": "DM Mathematics" }
Expand 2*l**2 + 3*l**2 - 4*l**2 + (-l - l - 4*l)*(-8*l + l + 5*l) + (-3*l**2 + 0*l**2 + l**2)*(1 - 2 + 3). 9*l**2 Expand (20*y**4 - 18*y + 18*y)*(1 - 5 - 1). -100*y**4 Expand (1 + 0 + 3)*(4*r**4 - 3*r**4 + r**4 + (-3*r**3 + 3*r**3 - r**3)*(-14*r - 25*r + 7*r)). 136*r**4 Expand (-3 + 3 - 7)*(-5*s**3 + 6*s**3 + 10*s**3)....
{ "pile_set_name": "DM Mathematics" }
+ a*t**3 and give w. 2 Express (-37*l + 36*l + 14*l)*(-2*l + 4*l + 3 - 1) as j + g*l + y*l**2 and give y. 26 Express -114*s + 27*s - 79*s as c*s + d and give c. -166 Rearrange -6 - 2 - 2*c**3 + 0*c**4 - c**4 + 6 to the form r*c**2 + n*c**3 + w*c + j*c**4 + z and give j. -1 Rearrange -r**2 - 5*r**2 + 5*r**2 + 2 - r**2 ...
{ "pile_set_name": "DM Mathematics" }
19 a factor of k(2)? True Suppose -x - 4*w + 3 = 0, -w = -x - 0*w - 2. Let v be (2*-41)/((-2)/x). Let s = -9 - v. Does 8 divide s? True Let w(b) = -2*b**3 + 17*b + 3. Let t(x) = x**3 + 17*x**2 + 30*x - 4. Let z be t(-15). Does 44 divide w(z)? False Suppose -2*z + 4*z = -9*z. Suppose -2*j + 60 = -3*a, -j - j - 3*a + 36 ...
{ "pile_set_name": "DM Mathematics" }
der when 46120 is divided by 1731? 1114 Calculate the remainder when 178549 is divided by 178460. 89 What is the remainder when 26637117 is divided by 240? 237 What is the remainder when 174607178 is divided by 9895? 8 What is the remainder when 3407743 is divided by 1544? 135 What is the remainder when 1134109 is divi...
{ "pile_set_name": "DM Mathematics" }
in decreasing order. 2, 0, -1, -4, -40 Sort 17, 0, 3, -1 in descending order. 17, 3, 0, -1 Put 3, -3, 1, -9, 2 in decreasing order. 3, 2, 1, -3, -9 Put -2, -4, -32 in ascending order. -32, -4, -2 Put 3, 0, -5, 41 in ascending order. -5, 0, 3, 41 Sort -20, -1/3, -0.1, 4 in decreasing order. 4, -0.1, -1/3, -20 Sort 7, 5...
{ "pile_set_name": "DM Mathematics" }
erm of 30, 90, 190, 330? 20*t**2 + 10 What is the k'th term of -360, -705, -1060, -1431, -1824? -k**3 + k**2 - 341*k - 19 What is the i'th term of 17, 10, 1, -10, -23? -i**2 - 4*i + 22 What is the d'th term of 44, 87, 132, 179? d**2 + 40*d + 3 What is the q'th term of -2187, -2167, -2157, -2163, -2191, -2247, -2337, -2...
{ "pile_set_name": "DM Mathematics" }
y = 377*y - 1125 for y. -15 Solve 684*a - 693*a + 99 = 0 for a. 11 Solve -418198 + 419440 = 46*l for l. 27 Solve -30*l - 8*l + 96 = -22*l for l. 6 Solve -40*n - 870 = 13*n + 92*n for n. -6 Solve 1399*r - 5669 = 1326 for r. 5 Solve -4804 + 3213 - 3799 = 490*b for b. -11 Solve -53*o + 103 + 415 + 65 = 0 for o. 11 Solve 9...
{ "pile_set_name": "DM Mathematics" }
= h - 14 - 5. Suppose -7*j + 2*j - 4*l = l - 75, 0 = -4*l. Does h = j? False Let z = 0 - 0.05. Let a = -12 + 7. Let n = a - -3. Is z at least as big as n? True Let y = -2.9 - 0.1. Let f = 0 - -2. Is y <= f? True Let p(g) = 5*g**2 - 66*g + 13. Let b be p(13). Which is bigger: b or -51/7? b Let b = -7 - -11. Suppose -3*...
{ "pile_set_name": "DM Mathematics" }
ate (17 - 28) + (-1 - -4). -8 Evaluate (-9 - -11) + (2 - 0). 4 What is -4 + 5 + -1 + 3? 3 Calculate (5 - (-3 - -11)) + 6 + -3. 0 Evaluate ((3 - 2) + 3 - 6) + 3. 1 Calculate (9 - 9 - 7) + 1. -6 Calculate 18 + -20 + (-1 - -2). -1 4 + (-4 + 2 - (10 - 5)) -3 Calculate -1 + 5 + -6 + 1. -1 Calculate 3 - 5 - (3 + -5 - -5). -5...
{ "pile_set_name": "DM Mathematics" }
19*o in the form u*o + j and give u. 153 Rearrange 22*h**3 - 1 - 12*h - 3*h + 50*h - 13*h**3 to the form k*h**2 + f*h + i*h**3 + g and give f. 35 Rearrange 9817*d + 1373*d + 1753*d - 473*d - 330*d to the form o*d + p and give o. 12140 Express (-2 + 3785*x + 6307*x + 8579*x - 3650*x)*(2*x + 1 - 1 + (0 + 1 + 1)*(-x - 4*x...
{ "pile_set_name": "DM Mathematics" }
he greatest common factor of 4445 and 35. 35 What is the highest common factor of 693 and 441? 63 What is the greatest common factor of 168 and 609? 21 Calculate the highest common factor of 28 and 189. 7 Calculate the highest common factor of 144 and 3888. 144 Calculate the greatest common divisor of 12 and 1482. 6 Wh...
{ "pile_set_name": "DM Mathematics" }
ose 16 = 2*c - 3*m - 7, -4*m - 32 = -3*c. Suppose -7 + 21 = -3*r - 5*s, c*r - 12 = s. Let f be (-6)/(-8)*100/15. Solve -f*w = -z, r*w - w = 5*z for z. 0 Suppose -2*r + 5*h - 1 = -5*r, 5*h + 11 = 3*r. Solve -r*v = 3*l + 16, -3*l - l = 4*v + 24 for l. -4 Let o = -3 - -3. Let i be o/(3/12*4). Suppose i = 3*r + 4 - 22. Sol...
{ "pile_set_name": "DM Mathematics" }
*d = -u - 3 for d. -2 Solve 4*h = 5*t - 8, 0 = 18*h - 16*h + 6*t - 30 for h. 3 Solve 4*k = 2*f + 4, 12*k - 8 = 10*k + 3*k - 5*f for k. 2 Solve 5*z - 90 = 5*o, -2*o = -4*z - 7 + 71 for o. -4 Solve -h + 4*q + 253 - 274 = 0, 14*h + 4*q = -54 for h. -5 Solve z + 12*n = -40, -3*z - 3 = -6*n + 3*n for z. -4 Solve -3*r - 3*y ...
{ "pile_set_name": "DM Mathematics" }
-5184*sqrt(19)/5 + 1577961/25 Simplify -1 + (-1*sqrt(1584) - (sqrt(891)*1 + sqrt(891))). -30*sqrt(11) - 1 Simplify (sqrt(588) + sqrt(588)*-1 + (sqrt(12) - (sqrt(12) + sqrt(36)/(sqrt(3)*-1))) + 2)*-2. -4*sqrt(3) - 4 Simplify (((sqrt(1100) + sqrt(1100) + 0 + sqrt(1100) + 5)**2 + sqrt(1100) - (0 + sqrt(1100))**2*-2)*-3 + ...
{ "pile_set_name": "DM Mathematics" }
ive of -p**6*r + 139*p**3*r - 2*p**2*r + 144*r wrt p? -120*p**3*r + 834*r What is the second derivative of -310*d**3*w**3 + 2*d*w**3 + 63*d*w**2 - 2*w**3 wrt d? -1860*d*w**3 What is the second derivative of -32*f**2*l**2*r**2 + 3*f**2*l**2*r - 2*f**2*l**2 - 173*f**2*r + 20*l**2*r**2 + r wrt r? -64*f**2*l**2 + 40*l**2 W...
{ "pile_set_name": "DM Mathematics" }
z'th term of 450, 1176, 3058, 6678, 12618, 21460, 33786, 50178? 97*z**3 - 4*z**2 + 59*z + 298 What is the v'th term of 2792314, 2792316, 2792320, 2792326? v**2 - v + 2792314 What is the v'th term of 138678, 138582, 138480, 138420, 138450, 138618, 138972, 139560? 8*v**3 - 51*v**2 + v + 138720 What is the b'th term of 5...
{ "pile_set_name": "DM Mathematics" }
ween 6:49 PM and 7:29 PM? 40 How many minutes are there between 11:17 AM and 4:15 PM? 298 How many minutes are there between 3:59 PM and 3:18 AM? 679 How many minutes are there between 4:57 PM and 7:48 PM? 171 How many minutes are there between 1:38 PM and 1:28 AM? 710 How many minutes are there between 6:29 PM and 7:4...
{ "pile_set_name": "DM Mathematics" }
h) = -3*h**2 + 2*h. Give g*a(k) + 11*n(k). -k**2 + 2*k - 2 Let k(i) = i**2 - i + 1. Let l(u) = u**2 - 2*u + 2. Determine -2*k(p) + l(p). -p**2 Let r(b) = -6*b**3 - b**2 + 4*b + 4. Let x(q) = -q**3 + 4*q**2 - 3*q + 1. Let y(o) = -o**3 + 3*o**2 - 2*o + 1. Let c(u) = 3*x(u) - 4*y(u). Give 4*c(z) + r(z). -2*z**3 - z**2 Let...
{ "pile_set_name": "DM Mathematics" }
3*m + 4*n + 20 = 0. Solve -3*r + m*r + 2 = 0 for r. 2 Let f(a) = -a**2 - 13*a + 20. Let t be f(-14). Solve 3*n - n = t for n. 3 Let h be 0 - (-3 + (-1)/1). Suppose -4*i - 37 = -3*m, m - i - 39 = -h*m. Suppose 17 = 3*z + w, z = -3*w - m + 18. Solve -z*g = -g - 16 for g. 4 Let u(j) = 4 - 3 - 2 + j. Let h be u(3). Suppos...
{ "pile_set_name": "DM Mathematics" }
mon factor of 537 and 226256. 179 Calculate the greatest common factor of 7252 and 77812. 196 What is the greatest common factor of 418 and 968? 22 What is the greatest common factor of 13176 and 8? 8 Calculate the highest common divisor of 582 and 131726. 194 Calculate the greatest common divisor of 8041 and 3773. 11 ...
{ "pile_set_name": "DM Mathematics" }
64.6 What is the product of 1.7408 and 6? 10.4448 -24.9*-88 2191.2 Calculate -39270*-3. 117810 Work out -8.59 * -0.077. 0.66143 1172 * 24 28128 Product of 192 and 0.073. 14.016 Multiply -10078 and -1. 10078 -1 times -450.11 450.11 What is -1 times 0.1635? -0.1635 28 * -341 -9548 Calculate 22.692*1. 22.692 What is 4.7 t...
{ "pile_set_name": "DM Mathematics" }
*v**5 - 3749*v**4 + 58131*v**3 + 884321*v**2 + 2512010*v + 158400 = 0. What is v? -5, -2/31, 32, 99 Factor o**4/5 + 141*o**3/5 + 4698*o**2/5 + 5264*o. o*(o + 7)*(o + 40)*(o + 94)/5 Suppose 2*v**5/7 + 511216*v**4/7 + 1314486*v**3 + 41405580*v**2/7 = 0. Calculate v. -255590, -9, 0 What is n in -2*n**4/15 - 147868*n**3/3 ...
{ "pile_set_name": "DM Mathematics" }
Let m(f) = -2*f. Let t(z) = 8*z - 24. Let j(o) = 6*o - 17. Let h(n) = -7*j(n) + 6*t(n). Determine m(h(w)). -12*w + 50 Let c be 4/((-9)/(-270)*3). Let r(p) = -c - 32 + 72 + p. Let m(b) = -12*b - 7*b + 7*b. Give m(r(z)). -12*z Let s(k) be the third derivative of -k**5/6 + k**2. Let t be (2/(-5))/1 - (-1836)/90. Let v(o) ...
{ "pile_set_name": "DM Mathematics" }
of sequence vid when three letters picked without replacement from {d: 3, a: 3, j: 2, i: 3, f: 2, v: 1}. 3/728 Two letters picked without replacement from fhhfh. Give prob of sequence ff. 1/10 Calculate prob of sequence xfu when three letters picked without replacement from vuufxrr. 1/105 Calculate prob of sequence uc ...
{ "pile_set_name": "DM Mathematics" }
st to l in -2, 1/3, 2? 1/3 Suppose -5*m + 14 = -0*n - 2*n, -n = -m + 1. Which is the closest to -2/5? (a) 0 (b) n (c) 3/8 a Let g = 15.2 + -14. Let x = 2.1 - g. Let f = -0.1 - x. What is the nearest to -0.1 in 0.4, f, -3? 0.4 Let k = -270 - -265. Which is the closest to -1/3? (a) k (b) -3 (c) 0.1 (d) -0.1 d Let ...
{ "pile_set_name": "DM Mathematics" }
- 151340*b/3 + 276850 = 0. 35/4, 15, 791 Suppose k**3/2 + 381*k**2 + 188505*k/2 + 7621992 = 0. What is k? -336, -213 Determine q so that 3*q**2/2 - 101583*q/2 - 558888 = 0. -11, 33872 Determine q, given that -32964*q**2/5 + 1054888*q/5 - 256 = 0. 10/8241, 32 Factor 2*h**4/9 + 34832*h**3/9. 2*h**3*(h + 17416)/9 Factor ...
{ "pile_set_name": "DM Mathematics" }
3 + 2*p - 2*p) + 2*p**3 - 4*p**4 - 2*p**3 - p**4 in the form u*p**3 + t*p**2 + m*p + g + i*p**4 and give i. -3 Express 151 - 15*y - 151 as g + v*y and give v. -15 Express -2*f**3 + 2 - 6 - 2 + 4 as j + s*f**2 + t*f**3 + z*f and give z. 0 Rearrange (-s**2 + 3*s**2 + 3*s**2 + 2*s**3)*(9 + 4 - 4)*(-6 + 6 - 4*s) to n*s**3 ...
{ "pile_set_name": "DM Mathematics" }
36 Let w = 20008 + -34209. Let t = w + 283949/20. Let b = -34847/42 - -2476/3. What is the common denominator of b and t? 140 Suppose q - 20 = -5*v + 2*q, 3*q = -4*v + 16. Suppose -5*m + v*m + 4 = 0. What is the lowest common multiple of m and 8? 8 Find the common denominator of -53/90 and 2223/240 + -1 - 7. 720 Let k...
{ "pile_set_name": "DM Mathematics" }
What is x(-12)? -8 Let a(u) = -3*u**3 - 186*u**2 + 381*u - 206. Determine a(-64). -14 Let p(v) = -4*v**2 + 60232*v - 421427. Give p(7). 1 Let c(a) = -a**2 + 656*a + 3969. Give c(-6). -3 Let b(w) = 72*w + 5237. Determine b(-77). -307 Let y(r) = 35*r**2 + 7325*r - 802. Give y(-209). -2892 Let p(a) = -15041*a + 2602098. C...
{ "pile_set_name": "DM Mathematics" }
5*h - 337. 5*h Collect the terms in 1219*a - 613*a - 606*a + 5*a**3. 5*a**3 Collect the terms in -562*j**2 + 6*j**3 + 562*j**2. 6*j**3 Collect the terms in -13*v - 6*v**2 + 13*v. -6*v**2 Collect the terms in -q**2 - 4*q**2 + 2*q**2 + 2*q**2 - 32*q. -q**2 - 32*q Collect the terms in 146*r**2 + 142*r**2 - 290*r**2. -2*r*...
{ "pile_set_name": "DM Mathematics" }
in -6206 - 6235 + 12441 + 335*j**2. 335*j**2 Collect the terms in 410727 - 1321*b**3 + b - 410727. -1321*b**3 + b Collect the terms in -27*d**2 - 39*d**2 - 31*d**2 + 164*d**2 - 21*d**2 - 32*d**2 - 16*d**2. -2*d**2 Collect the terms in -239*y - 578*y + 207*y + 204*y + 201*y + 207*y. 2*y Collect the terms in -36*o - 1546...
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when 1061 is divided by 157. 119 Calculate the remainder when 55 is divided by 32. 23 Calculate the remainder when 45603 is divided by 11. 8 What is the remainder when 287 is divided by 61? 43 What is the remainder when 778 is divided by 66? 52 What is the remainder when 262 is divided by 35? 17 C...
{ "pile_set_name": "DM Mathematics" }
mainder when b is divided by u? 8 Calculate the remainder when 12 is divided by (-13 + 3)*((-2)/(-4) + -1). 2 Suppose 4*i - i - 108 = -3*l, -4*i = 8. What is the remainder when 5 + -8 + 1 + 113 is divided by l? 35 Let m(q) = -32*q + 6. Let h(x) = -11*x + 2. Let i(p) = -17*h(p) + 6*m(p). Calculate the remainder when 23 ...
{ "pile_set_name": "DM Mathematics" }
to millilitres. 6105.698 How many millimeters are there in 19/4 of a meter? 4750 How many nanometers are there in 87400.03um? 87400030 How many millennia are there in 0.1467791 years? 0.0001467791 How many millennia are there in 9.767363 decades? 0.09767363 How many millennia are there in 7.783344 decades? 0.07783344 W...
{ "pile_set_name": "DM Mathematics" }
3*w(u). Determine -2*d(l) - 5*r(l). -2*l**3 Let t(g) = 5*g**2 - 7*g. Let a(m) = 2*m**2 - 4*m - 1. Let k(y) = y + 1. Let z(c) = 2*a(c) + 2*k(c). Calculate -6*t(j) + 7*z(j). -2*j**2 Let f(p) = 2*p**3 - 2*p**2 - 2*p + 4. Let d(j) = -3*j**3 + 2*j**2 + 3*j - 5. Determine 4*d(z) + 5*f(z). -2*z**3 - 2*z**2 + 2*z Let a(s) = -...
{ "pile_set_name": "DM Mathematics" }
- f) to the form n*f + d*f**2 + x and give d. -33 Rearrange 6 - 6 - 68*q**2 to z*q + y*q**2 + p and give y. -68 Rearrange (8*k - k - 4*k)*(-2 + 1 - 1)*(4*k - 9 + 9) to the form h*k**2 + i + g*k and give h. -24 Rearrange 0*i + 5*i - 4*i + (-5 + 4 - 1)*(3 + i - 3) + 6*i + 0 + 0 to the form p + w*i and give w. 5 Rearrange...
{ "pile_set_name": "DM Mathematics" }
of 11438. 2, 7, 19, 43 List the prime factors of 28638. 2, 3, 37, 43 List the prime factors of 55260. 2, 3, 5, 307 What are the prime factors of 538? 2, 269 What are the prime factors of 140729? 140729 List the prime factors of 600. 2, 3, 5 List the prime factors of 9393. 3, 31, 101 List the prime factors of 23147. 79...
{ "pile_set_name": "DM Mathematics" }
11*u**2 + u + 17. Let i be w(-11). Solve 4 = l + i for l. -2 Let f be (-2 + 0)*(-2)/2. Suppose 60 = -f*c - 0*c. Let x = -30 - c. Solve x = 4*w - 19 - 1 for w. 5 Suppose -101*i - 128 = -117*i. Solve -38*x + i = -42*x for x. -2 Suppose 59*z = 30*z + 406. Solve -q - z*q = 45 for q. -3 Let a(t) be the second derivative of ...
{ "pile_set_name": "DM Mathematics" }
z - 17*z + 7*z + 3*z**2)*(-29*z**2 - 178*z + 178*z). -87*z**4 + 493*z**3 Expand -8*j**2 + 6*j**2 + 0*j**2 - j**5 + (24*j - 24*j + 14*j**2)*(7*j**3 + 6*j**3 - 3*j**3). 139*j**5 - 2*j**2 Expand (-23*p**3 - 21*p**3 + 45*p**3)*(-46*p**2 + 15*p**2 + 12*p**2)*(4 - 2 - 1) + 0*p**5 - 5*p**5 - p**5. -25*p**5 Expand (t - 4*t + 2...
{ "pile_set_name": "DM Mathematics" }
t l = 25 - t. Put l, 0.1, k in descending order. k, l, 0.1 Let w = -12.2 + 2.2. Let p = 10.4 + w. Put p, -4, -6/11 in decreasing order. p, -6/11, -4 Let k(h) = h**2 - 2*h + 1. Let d be k(3). Let o = -2 + 2. Suppose 3 + o = z. Put d, -2, z in ascending order. -2, z, d Let t = -1 + 1.9. Let n = 3.9 - t. Suppose 3*k = 2 +...
{ "pile_set_name": "DM Mathematics" }
-0.12556 -2.17 times -0.01 0.0217 What is the product of -1 and -1220.9? 1220.9 -2806 * -73 204838 Multiply 416 and -0.0404. -16.8064 What is the product of -65833 and 5? -329165 Product of 2.377 and -0.05. -0.11885 -258148 times 4 -1032592 0.046 times -107618 -4950.428 Work out -0.04 * 0.0409. -0.001636 -21278 * 5 -10...
{ "pile_set_name": "DM Mathematics" }
ositive. p**(227/165) Simplify (((b/((b/(b/(b*b/(b/((((b**(1/19)*b)/b*b)/b)/b))))*b)/b*b))**(-4/5))**(21/2))**4 assuming b is positive. b**(168/95) Simplify (((z**0*z)**(8/15)/((z**0*z)/(z**3*z)))**(-9/7))**24 assuming z is positive. z**(-3816/35) Simplify ((s**(-2/29)*s)**(-33/7)/(s**(3/4))**(4/33))**(-2/47) assuming ...
{ "pile_set_name": "DM Mathematics" }
he first derivative of -13*t**6 + 51*t**3 + 76. What is the third derivative of j(x) wrt x? -4680*x**2 Let u(z) be the second derivative of -11*z**7/42 - 7*z**4/4 - 73*z**3/3 + z**2 - 185*z. Find the second derivative of u(q) wrt q. -220*q**3 - 42 What is the second derivative of 3*a**4 + 90*a**5 + 255*a + 50*a**5 - 3*...
{ "pile_set_name": "DM Mathematics" }
g/(g**(-4)/g))/g)))/g)/g) assuming g is positive. g**(-331/80) Simplify s*s**6*s*s/s**(-22) assuming s is positive. s**31 Simplify (z/(z/(z*z/(z*z/((z*z*z/(z*z*z*((z*z**(3/7))/z)/z)*z)/z)*z))))**36 assuming z is positive. z**(-108/7) Simplify (c**1/(c/c**(-6)))/(c*c*c**(-3)*c**(-3/4)) assuming c is positive. c**(-17/4)...
{ "pile_set_name": "DM Mathematics" }
- 17*n**2 + 0*n. 2*n**2 Collect the terms in 24*o - 56*o + 28*o. -4*o Collect the terms in -r - 14 + 6 + 8. -r Collect the terms in -q - 15*q - 3 + q. -15*q - 3 Collect the terms in 1313 - 1313 + 3*b + 2*b. 5*b Collect the terms in 24 - 12 + q**2 + q**2 - 12. 2*q**2 Collect the terms in 4 - 1224*p + 1229*p - 4. 5*p Co...
{ "pile_set_name": "DM Mathematics" }
= p - 50 for h. 9 Solve 3*g - 4*x = 10, -843*g - 24 = -841*g + 5*x for g. -2 Solve -18*w + 3 = 9*c - 6*c, 4*c - 4 = 0 for w. 0 Solve 4*t = -k - 36, 0 = t + 5*k + 26 - 17 for t. -9 Solve 16 = 10*r - 14*r, 11*p - 27*r = 7*p + 120 for p. 3 Solve 5*o = -3*l - 23, 3*o + 13 = -0*o - l for o. -4 Solve 5*i = -4*f - 6, 4 = 3*f ...
{ "pile_set_name": "DM Mathematics" }
om {q: 6, g: 1, c: 11}. 5/816 Two letters picked without replacement from {y: 1, l: 1, c: 2, j: 8, h: 2, i: 1}. Give prob of sequence lj. 4/105 What is prob of sequence rsge when four letters picked without replacement from {s: 1, g: 1, r: 1, v: 2, e: 2, k: 1}? 1/840 What is prob of sequence xmy when three letters pick...
{ "pile_set_name": "DM Mathematics" }
/4 + 3*p**3 - 8*p**2 + 74*p + 197. Let k be s(8). Solve -5*h + 2*q = 31, -5*q + 40 = -3*h + k for h. -5 Let s be (15 - 2)/(156/24). Solve -5*r = s*x + 10, 86*r = 81*r for x. -5 Suppose -10*i + 38 = w, -2*i + 7 = w - 15. Solve 0 = 3*r + 2*h - 8, 7*r + w = 11*r - h for r. 4 Let o = 657 - 440. Let b = o - 213. Solve 19 = ...
{ "pile_set_name": "DM Mathematics" }
**2 + i*b**4. Calculate x(3). 5 Let z(c) be the third derivative of -c**4/8 + c**3/6 - 2*c**2. Let l = -8 - -7. What is z(l)? 4 Let m be (34/119)/(1/7). Let x be (-10)/(2*m/2). Let v(o) = o. Determine v(x). -5 Suppose 3*g + 10 = -0*w + w, -5*w - 2*g = -16. Suppose -w*z + 4 = -16. Let y(a) = a**2 - 5*a - 6. Determine y(...
{ "pile_set_name": "DM Mathematics" }
((25 + 15225/(-625))*5)/(2/(-30))? -48 Evaluate 1 + 44 - 413/((-164374)/17910). 90 184/182 + 118/(-15340)*20 6/7 Evaluate 16/152*(-4940)/(-3380). 2/13 Evaluate 60*(4550/(-168) - -27). -5 Calculate (-378)/252 - (-92)/72. -2/9 What is (-24)/(-35)*((-1485)/108)/(11/(-8))? 48/7 What is the value of (41 - -2)*(-2)/(-560)*-...
{ "pile_set_name": "DM Mathematics" }
e of 205886*a**3*j + 95*a**3*l + 194*a**2*l + 12018*a*j*l + a*j + 2*a*l wrt a. 1235316*j + 570*l What is the second derivative of 132295241*a**2 - 453441881*a wrt a? 264590482 What is the third derivative of -34001379*f**4 + 361873*f**2 - 11*f - 1? -816033096*f What is the third derivative of -6*d**5 + 3*d**3*o - 25212...
{ "pile_set_name": "DM Mathematics" }
rest ten thousand. -30000 Round 14.2182 to 1 decimal place. 14.2 What is -14904441 rounded to the nearest 1000000? -15000000 What is 0.0056953667 rounded to 6 dps? 0.005695 Round -2183990.5 to the nearest 10000. -2180000 Round -0.000015817964 to 7 decimal places. -0.0000158 What is -2708.805 rounded to the nearest 100?...
{ "pile_set_name": "DM Mathematics" }
e c(3). Let i(z) = 8*z**2 + z - 2. Let f be i(o). Suppose 0 = f*l - 9*l + 178. Is l a multiple of 16? False Let n(a) = 5*a**2. Let c be n(1). Suppose -c*z = 4*b - 85, 2*z = 4*b - z - 77. Does 16 divide (216/b)/((-6)/(-20))? False Let z(l) = l**3 + 30*l**2 + 23*l - 50. Does 3 divide z(-29)? False Let x(w) = w - 4. Let s...
{ "pile_set_name": "DM Mathematics" }
*w**3. What is n in a(n) = 0? -1, 2 Let f = -58 - -62. Let g(n) be the first derivative of -1/10*n**6 + 3/20*n**f - 2 + 1/5*n**3 - 3/25*n**5 + 0*n**2 + 0*n. Find x such that g(x) = 0. -1, 0, 1 Let u(l) be the third derivative of 0 - 1/25*l**5 - 2/15*l**4 + 8/15*l**3 + 2/525*l**7 + 1/75*l**6 - 6*l**2 + 0*l. Let u(n) = 0...
{ "pile_set_name": "DM Mathematics" }
20478, 26354, 31758? -236*t**2 + 7528*t + 18 What is the l'th term of -1508083116, -1508083115, -1508083114, -1508083113? l - 1508083117 What is the g'th term of 14153, 32551, 50963, 69395, 87853, 106343? g**3 + g**2 + 18388*g - 4237 What is the b'th term of -204331, -204291, -204219, -204115, -203979, -203811, -20361...
{ "pile_set_name": "DM Mathematics" }
nvert a50b (base 14) to base 16. 6f0f What is 483 (base 12) in base 10? 675 Convert 116 (base 12) to base 4. 2202 -1010111001000 (base 2) to base 13 -26cc Convert -1506 (base 12) to base 7. -10104 Convert -2001201 (base 3) to base 9. -2051 Convert -2eb0 (base 15) to base 13. -4773 32003 (base 4) to base 5 12044 Convert...
{ "pile_set_name": "DM Mathematics" }
plify (-1 + (sqrt(539)*-1 + 4)**2*4 + (5*(sqrt(539)*1 + sqrt(539))*-5)**2)*-3. -4049157 + 672*sqrt(11) Simplify ((-6*1*sqrt(84)*2)/(sqrt(120)/(1*sqrt(1210)))*5)**2. 3049200 Simplify -2*(((sqrt(17) + sqrt(17) + sqrt(2057) + -2*sqrt(2057))*5)**2 + 5) - ((2*sqrt(119)*-4)/(sqrt(343)*1))**2*2. -3376316/49 Simplify (-3 + (sq...
{ "pile_set_name": "DM Mathematics" }
late the common denominator of 44/51 and ((-51372)/(-5712) + -9)/((-813)/(-274) - 3). 714 Let g = 4803 + -4785. Calculate the smallest common multiple of 1311 and g. 7866 Suppose 2*c - 342 = -2*p + 56, 3*p = 2*c + 582. Calculate the smallest common multiple of 16 and p. 784 Let s(z) = 3*z + 1. Let f be s(4). Let h = f ...
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 816795? 3, 5, 7, 2593 What are the prime factors of 1344273? 3, 7, 64013 List the prime factors of 185178. 2, 3, 7, 4409 List the prime factors of 4838832. 2, 3, 23, 487 List the prime factors of 3169129. 181, 17509 What are the prime factors of 294662? 2, 147331 What are the prime factors...
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 3271745585 - 10*h**2 - 3271745585 + 682*h**3 + 10*h**2. 682*h**3 Collect the terms in -4655*o**2 - 2487*o**2 + 7144*o**2. 2*o**2 Collect the terms in -9 - 81*z - 9*z**2 - 51*z**2 - 2 - 12*z**2. -72*z**2 - 81*z - 11 Collect the terms in -257855*j + 515724*j - 257853*j. 16*j Collect the terms in 117...
{ "pile_set_name": "DM Mathematics" }
**2 + w*k**4 + k**4 wrt k. 24*k Let k(m) be the first derivative of -2*m**6 - m**3 - 1. Find the third derivative of k(b) wrt b. -720*b**2 Find the third derivative of 4*w**2 - 2*w**5 - w**2 + 0*w**5 + 4*w**5 wrt w. 120*w**2 Let p(m) be the second derivative of 4*m**5/5 - 5*m**2 + 2*m. What is the derivative of p(f) wr...
{ "pile_set_name": "DM Mathematics" }
hat is -4 divided by -13616? 1/3404 Divide 122548 by 4. 30637 Calculate -237621 divided by -3. 79207 What is 33485 divided by 15? 6697/3 Divide 0 by -22069. 0 What is 179922 divided by 59974? 3 Calculate 296531 divided by -2. -296531/2 Calculate 637700 divided by 5. 127540 Calculate 1039 divided by -22. -1039/22 What i...
{ "pile_set_name": "DM Mathematics" }
Let s(d) be the first derivative of -1/15*d**5 - 2 + 1/12*d**4 + 0*d - 1/6*d**2 + 1/9*d**3. Solve s(m) = 0. -1, 0, 1 Suppose 0 = 5*l + 6 - 76. Factor 21*z + 15*z**3 + 35*z + l*z**4 - 16 - 61*z**3 + 12*z**2. 2*(z - 2)**2*(z + 1)*(7*z - 2) Let w(s) be the third derivative of -s**6/180 + s**4/12 + s**3/6 - 2*s**2. Let c(...
{ "pile_set_name": "DM Mathematics" }
that f(k) = 0. -1, 2/5, 1, 5 Let i(b) be the first derivative of b**4/24 + 10*b**3/9 + 9*b**2 + 24*b + 53. Let i(k) = 0. What is k? -12, -6, -2 Suppose 0 = -2*m + 5*k + 241 - 16, -5*m = 2*k - 548. Suppose 106*u - m*u + 16 = 0. Solve 0*c - 4/5*c**2 + 0 - 1/5*c**u - c**3 = 0 for c. -4, -1, 0 Let z(x) be the third derivat...
{ "pile_set_name": "DM Mathematics" }
995. What are the prime factors of i? 2, 7591 Let w = -273 - -271. What are the prime factors of 4 - (0 - -460)/w? 2, 3, 13 Let c = -441 + 236. Let l = c - -698. List the prime factors of l. 17, 29 Suppose 0 = -3*m + 3*c + 275520, -8*m + 888158 - 153411 = -5*c. List the prime factors of m. 53, 1733 What are the prime f...
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 1 g and 1 w when two letters picked without replacement from {g: 4, w: 2, q: 2}? 2/7 What is prob of picking 1 u and 1 k when two letters picked without replacement from {u: 2, t: 1, l: 4, k: 3, b: 1}? 6/55 Two letters picked without replacement from {p: 2, m: 13, v: 1, s: 1}. What is prob of p...
{ "pile_set_name": "DM Mathematics" }
-91, -180, -267, -352, -435, -516? -595 What comes next: -6, -4, 8, 36, 86, 164? 276 What is the next term in 25, 72, 151, 262? 405 What is next in -32, -70, -108? -146 What is the next term in 86, 290, 630, 1106, 1718, 2466? 3350 What comes next: -279, -276, -273? -270 What is next in -367, -736, -1105, -1474? -1843 ...
{ "pile_set_name": "DM Mathematics" }
2/3 Let b(m) = 4*m**3 - 4*m**2 + 13*m - 17. Let x(d) = -5*d**3 + 5*d**2 - 14*d + 18. Let q(g) = -6*b(g) - 5*x(g). Factor q(v). (v - 2)**2*(v + 3) Suppose 4 = -0*t + 4*t + 3*p, 36 = 5*t - 4*p. Let b(s) = -5*s**2 - 4. Let y(r) = -2 + 62*r**2 - 3 - 61*r**2 + 6. Let f(q) = t*b(q) + 18*y(q). Solve f(d) = 0. -1, 1 Let b(l) b...
{ "pile_set_name": "DM Mathematics" }
e factors of (1 - 0)*(44/11 - -245)? 3, 83 Let d(c) = c**2 - 4*c + 2. Let b(z) = z + 1. Let r(w) = -b(w) - d(w). Let k be r(5). Let f = 31 + k. What are the prime factors of f? 2, 3 Suppose -5*g + 716 = -264. Let c = -88 + g. Suppose -2*f - c = -4*h, 0 = 6*f - f + 10. What are the prime factors of h? 2, 13 What are the...
{ "pile_set_name": "DM Mathematics" }
e 3*j - 4 + 1 - 17 = -5*k, -21*j + 55*j = 30*j for k. 4 Solve 0 = -3*q - 3*c + 18, 3*c + 2*c - 95 = -704*q + 712*q for q. -5 Solve 3*t - 204 = 36*b, -19*t = 2*b - 11*t - 5*t - 52 for b. -4 Solve 0 = -119*m + 114*m + 22*d + 59, 4*d + 17 = -2*m + 15 for m. 3 Solve 0 = -5*g - 2*b + 27 - 10, g = -15*b + 19*b - 67 for g. -3...
{ "pile_set_name": "DM Mathematics" }
ur letters picked without replacement from svvdvdvvsd. Give prob of picking 2 s, 1 d, and 1 v. 1/14 What is prob of picking 1 h, 1 o, and 1 c when three letters picked without replacement from {c: 5, h: 2, y: 1, u: 1, i: 5, o: 1}? 2/91 Four letters picked without replacement from ntnrbbnncerrnneene. What is prob of pic...
{ "pile_set_name": "DM Mathematics" }
the remainder when z is divided by b? 15 Let z(w) = w**2 + 19*w - 13. Calculate the remainder when 345 is divided by z(-21). 26 Let m = -410 + 512. What is the remainder when 114 is divided by m? 12 Suppose -2*b - 3*b + u = -114, 4*b + 4*u = 96. Suppose 15 = -5*c, 0*z + 3*c + 281 = 4*z. Calculate the remainder when z ...
{ "pile_set_name": "DM Mathematics" }
= -5*a(f) - 8*w(f). Find the third derivative of p(q) wrt q. 72*q - 30 Let d(c) be the first derivative of -2*c**4 + 27*c**2/2 + 9. Find the second derivative of d(k) wrt k. -48*k Let b = 13 - 8. Differentiate -19*z + b*z - 7 + 6*z with respect to z. -8 Let l(m) be the second derivative of m**6/120 + m**4/8 + m**3/6 - ...
{ "pile_set_name": "DM Mathematics" }
2)*(c + 10)*(3*c - 2)/5 Find o such that 1/8*o**3 + 0 - 127/8*o**2 + 531/4*o = 0. 0, 9, 118 Let h(t) be the third derivative of t**5/240 + 325*t**4/96 + 27*t**3/2 + 4727*t**2. Find w such that h(w) = 0. -324, -1 Determine m so that 22/7*m**4 + 0 + 144/7*m + 1/7*m**5 + 97/7*m**3 - 264/7*m**2 = 0. -12, 0, 1 Let q(a) be ...
{ "pile_set_name": "DM Mathematics" }
4 + 0*i**3. Let f be n(2). Solve 0 = 2*r + 2*x - 6 - 2, 5*r - 3*x = f for r. 2 Let h(f) = f**3 + 11*f**2 + 23*f - 4. Let o be h(-8). Solve 0*w - o = 3*c - w, -w - 4 = c for c. -2 Suppose 5*i + 17*q - 33 = 13*q, -4*q = -8. Solve -x + 0*x + 4*c = 19, 0 = -5*x - 5*c + i for x. -3 Suppose -38*q = -13*q - 125. Solve -q*n = ...
{ "pile_set_name": "DM Mathematics" }
-5 - -10. Suppose h = p*g - 12. Solve -4*d = 4*t - 2 - g, -8 = 4*d for t. 4 Let h be (-1 - -12)*(-17 + (-945)/(-55)). Solve -40*i + 3*y = -43*i - 12, h*i + 3*y = -11 for i. -1 Let m(c) = 4*c**2 + 157*c + 199. Let l be m(-38). Solve -3*h = -4*g - 13, 5*g + l + 12 = -h for h. -1 Let v(j) = 3*j**2 - 18*j + 29. Let o be v...
{ "pile_set_name": "DM Mathematics" }
te (0 + (1 - 2) - 2) + 0. -3 What is the value of (-5 - 0) + 159 + -150? 4 Evaluate 0 + 1 + 4 - 0. 5 0 + (1 - (6 + -6 + -1)) 2 Calculate (-7 - 8) + 21 - (-2 - 0). 8 What is the value of -1 + -3 + 0 + 7? 3 What is the value of 3 - (1 - 3) - 4? 1 Evaluate -2 + -1 - (13 + -16). 0 What is (-9 - -3) + 12 - -1 - 2? 5 What is...
{ "pile_set_name": "DM Mathematics" }
c. Does 25 divide x + 2 - -1 - -38? False Let p(s) = -3*s + 1. Let n = 5 + -3. Suppose -h - n*h = 15. Is p(h) a multiple of 16? True Suppose -3*m + 9 = -4*d - 5, -5*d - 35 = 5*m. Is 11 a factor of -2 + (1 + -9)*m? False Is ((652/(-16))/((-1)/4))/1 a multiple of 22? False Let i = 111 + 33. Suppose -3*s + 9*s = i. Does 8...
{ "pile_set_name": "DM Mathematics" }
the derivative of z(i) wrt i? -24*i**2 Let c be (-12)/18 - 22/(-6). Differentiate 0*f**3 + 4 - 2*f**3 - 2*f**c + 6 with respect to f. -12*f**2 Let w(n) = -6384*n - 2177. Let b(f) = -709*f - 242. Let o(u) = -35*b(u) + 4*w(u). What is the derivative of o(t) wrt t? -721 Let f(v) = -v**4 - v**2 - 2*v. Let q(c) = 5*c**4 - ...
{ "pile_set_name": "DM Mathematics" }
4 + 288534*g**3 + 21079416*g**2 - 43024422*g + 21656475 = 0 for g. -75, 1, 96251 Find m, given that 3*m**5 - 372*m**4 - 10101*m**3 + 63642*m**2 + 613188*m + 1024920 = 0. -26, -3, 10, 146 Solve 4*j**3 - 45308*j**2 + 4090616*j - 8000032 = 0. 2, 89, 11236 Determine p so that 3*p**3/5 - 3339*p**2/5 + 813006*p/5 - 322536 = ...
{ "pile_set_name": "DM Mathematics" }
ers picked without replacement from iqxqiuyyyyuuuiyuuii. Give prob of sequence iyx. 25/5814 Calculate prob of sequence bbbg when four letters picked without replacement from zbbbbwbqggqq. 1/99 Calculate prob of sequence rh when two letters picked without replacement from {t: 1, d: 1, a: 2, r: 1, q: 1, h: 1}. 1/42 What ...
{ "pile_set_name": "DM Mathematics" }
2 a factor of q(d)? False Let q(i) = 3*i + 73. Let l be q(17). Suppose 122*s = l*s - 82. Does 6 divide s? False Suppose -5*q - 20 = 0, 2*y + 2*q = -2*y + 1700. Let o = -211 + y. Does 8 divide o? True Let g(s) = 19310*s + 100. Is g(2) a multiple of 176? True Does 7 divide (1799 - (-270)/(-18))*18/8? False Suppose 0*o = ...
{ "pile_set_name": "DM Mathematics" }
xpand (-b + 12*b + 4*b)*(-3 + 6 - 2) - 12*b - 59 + 59. 3*b Expand ((-6 + 2 + 2)*(1 - 4 + 1) + 0 + 0 - 2)*(196 - 123*p**3 - 196). -246*p**3 Expand (-48*p**2 - 4*p**2 - 15*p**2)*(-5*p + 4*p + 3*p)*(2 - 3 + 2)*(-2*p**2 - 4 + 4). 268*p**5 Expand 0*f**3 - 3*f**3 + f**3 + (-f**2 + 0*f**2 + 3*f**2)*(3*f - 3*f - 2*f) + 9*f**3 ...
{ "pile_set_name": "DM Mathematics" }
dps. -0.0000007 Let b be (2 - -576) + (-2)/(0 + -1). What is b rounded to the nearest one hundred? 600 Let u = 2.3 + -0.42. What is u rounded to the nearest integer? 2 Let u = -0.11 + 0.12. Let x = -7.29 - u. What is x rounded to zero dps? -7 Let y be 10/((-3 - 0)/378). What is y rounded to the nearest 100? -1300 Let ...
{ "pile_set_name": "DM Mathematics" }