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*(4/5)*z)*z)/z**(4/7)*(z**(-1)/z)**(-5))/((z**4*z**(1/2))/(z**(-3)*z*z**(-2)/z)) assuming z is positive. z**(9/70) Simplify (s**(-1/4))**(1/28)*s**(-1/5)/(s*s**(-6))*((s**4*s)/(s*s**6))**(28/5) assuming s is positive. s**(-3589/560) Simplify (((m**1*(m/(m/(m/(m**4/m))))/m)**46)**(-1))**32 assuming m is positive. m**294...
{ "pile_set_name": "DM Mathematics" }
et s be x(-8). Does 33 divide (w/(-5))/(s/(-1980))? True Let n be 15/20 - (-26)/8. Is 23 + -2 + n + -6 a multiple of 19? True Does 24 divide ((-10368)/(-378))/((4/154)/1)? True Let b be -24*(-4)/(-2 - 6). Is (b/(-5))/((-6)/(-345)) a multiple of 23? True Let t(x) = -x + 42. Let y be (12/(-18))/((-4)/78). Is t(y) a multi...
{ "pile_set_name": "DM Mathematics" }
-3*w + 10. Let a be 124/w + 2/8. Calculate the greatest common factor of a and d. 4 Suppose 0 = -10*a + 3*a + 175. Calculate the highest common factor of a and 100. 25 Let g(i) = -i - 18. Let a be g(-13). Let l(w) = -12*w - 4. Let n be l(a). Calculate the highest common divisor of 14 and n. 14 Let x be ((-705)/4)/(-5) ...
{ "pile_set_name": "DM Mathematics" }
*5 + 276*i - 3. -1331480*i**3 Find the first derivative of 216*l**3 + 2*l**2 + 2*l - 62706. 648*l**2 + 4*l + 2 What is the second derivative of 45753*q**2 + 1434*q - 4 wrt q? 91506 What is the second derivative of 2*n*v**3 - 6*n*v**2 - n - 3*v**4 - 895*v**2 + 2377965*v wrt v? 12*n*v - 12*n - 36*v**2 - 1790 Find the sec...
{ "pile_set_name": "DM Mathematics" }
17 + (15 - (1 + 5)). -8 -4 - (-1 + -4 + 1) 0 6 - (1 + 3) - (1 + -1) 2 What is the value of 7 + 0 + 0 + -5 + 3? 5 Evaluate 5 + 4 + -4 - -2. 7 Evaluate 3 - 2 - (12 + -9) - 3. -5 Evaluate (0 - -1) + (13 - 11). 3 (13 - (-7 + 6)) + -6 + -2 6 Calculate -3 + (6 - 8 - -4). -1 Calculate 7 + -2 + (12 - 23). -6 Calculate -15 + 21...
{ "pile_set_name": "DM Mathematics" }
erivative of h(u). Find v, given that j(v) = 0. 1 Suppose -x = 2*f + 1, 3*x - 3 = 2*f - 14. Let r be f/((-4)/(-1) + -1). Factor 0*n - n**3 - r*n**2 + 0 + 4/3*n**4. n**2*(n - 1)*(4*n + 1)/3 Let t(c) be the second derivative of 0*c**4 - 1/30*c**6 + 0 + 0*c**3 + 0*c**2 - 1/30*c**5 + 2*c + 10/63*c**7. Let t(w) = 0. Calcula...
{ "pile_set_name": "DM Mathematics" }
232158867425918. Let n = u + -5053402224. Let z = -21 + n. What is z rounded to seven dps? -0.0000001 Let k = 260.064 + -266. Let v = 6 + k. Round v to two dps. 0.06 Let c = -0.45174 - -209.44174. Let l = c + -215. What is l rounded to one dp? -6 Let f be (-7)/(-3) - (-2)/3. Suppose 0 = 4*r + f*c - 2*c + 14, 3*c - 3 = ...
{ "pile_set_name": "DM Mathematics" }
ggest value in 3, 56567, 1? 1 What is the fourth smallest value in 1/2, 26, -2/1541, 0.1, 5, 0.4? 1/2 What is the sixth biggest value in 6, 5/6, 3, 0.3, -178, 1? -178 Which is the sixth biggest value? (a) 4/345 (b) -6 (c) -1 (d) 4 (e) 1 (f) 16 b Which is the smallest value? (a) -1 (b) 38 (c) -1/3 (d) 2 (e) 2...
{ "pile_set_name": "DM Mathematics" }
-144 - -1010/7. What is the nearest to 1 in r, j, 0.2? r Let d be (1/1)/(3/15). Which is the closest to -2/5? (a) d (b) 13 (c) -1/5 c Suppose -142*f + 144*f + 4 = 0. Let z = -0.32 + 0.3. Let c = 1.98 - z. What is the nearest to c in -0.4, 2, f? 2 Let g = 10 + -11. What is the closest to g in -0.2, 4, -1? -1 Let k =...
{ "pile_set_name": "DM Mathematics" }
n divisor of 184 and 6210. 46 Calculate the highest common factor of 91 and 39. 13 Calculate the greatest common factor of 194 and 2231. 97 What is the greatest common factor of 108 and 14958? 54 Calculate the greatest common factor of 136 and 459. 17 What is the greatest common factor of 24 and 5652? 12 Calculate the ...
{ "pile_set_name": "DM Mathematics" }
Let b(h) = -5*h**2 - 146*h - 117. Let k be b(-42). Which is greater: k or -2804? -2804 Suppose 3*w - 3*b = -54 + 663, 2*w = 3*b + 400. Which is greater: w or 215? 215 Let f(l) = l**2 + 4*l + 2. Let t be f(0). Suppose a = -11*z + 16*z + 2, -t*z = 8. Which is bigger: a or 16? 16 Let z = 5573/13 - 429. Suppose -3*n + 2 = ...
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {o: 11, a: 2}. Give prob of picking 2 a. 1/78 Two letters picked without replacement from {q: 2, b: 1, r: 1, k: 2, z: 3, j: 6}. What is prob of picking 1 z and 1 b? 1/35 What is prob of picking 2 c when two letters picked without replacement from cbjjbcbbbbjjjjjjj? 1/136 Four letters picke...
{ "pile_set_name": "DM Mathematics" }
a - 2 = 2*v + 4. Solve -v*c = 0, 0 = i + c + 1 + u for i. -4 Let y = 145 - 142. Suppose 4*v + 2*x = -x + 28, -12 = -y*x. Solve 3*k = -4*o + v - 10, -o = 0 for k. -2 Let w = -2322 + 2340. Solve 0 = -3*q + 3*d - w, -15*d + 19 = -3*q - 11*d for q. -5 Suppose -59 = -2*s + 13. Let x be (6 - 222/s)*-18. Suppose -5 = -5*b + 5...
{ "pile_set_name": "DM Mathematics" }
-6*r - 3*y. What is the tens digit of b(r)? 8 Suppose 0 = 5*x - 0*x + 10*x. What is the units digit of (x + -1374)*(84/9)/(-14)? 6 Suppose -111*t - 246584 = -2088740. What is the thousands digit of t? 6 Let u(p) = -212*p**3 + p**2 + 51*p + 223. What is the ten thousands digit of u(-4)? 1 Let a be (-9)/((-8326)/1664 - -...
{ "pile_set_name": "DM Mathematics" }
6). Let u = -49 - b. Suppose -d = 2*d - u. Solve -d*j + 4 = -8 for j. 3 Suppose 19*y + 57*y - 187 = -35. Solve -76 = y*a - 82 for a. 3 Let p(r) = -3*r**3 - 3*r**2 + 9*r + 30. Let a be p(-3). Solve 35*y + a = -118 for y. -5 Let x be (10/(5/5) + -4)*22/4. Solve x*i + 176 = -55*i for i. -2 Let r(f) = -f**3 - f**2 + 3*f + ...
{ "pile_set_name": "DM Mathematics" }
the common denominator of -97/6 and 22/2738811? 5477622 What is the common denominator of 17/36 and -143/636048? 636048 Calculate the lowest common multiple of 5417660 and 2660. 37923620 Find the common denominator of -51/465500 and 54/23275. 465500 Calculate the lowest common multiple of 1096 and 36064. 4940768 What ...
{ "pile_set_name": "DM Mathematics" }
o(z) = 2*z - 9. Calculate o(p). 3 Let g(b) be the first derivative of -b**3/3 - b**2 + 3*b - 3. Suppose 0*h + h = 7. Suppose 0 = -m + 3*r, -4*r = 2*m - 3*r + h. Calculate g(m). 0 Let j(w) = 2*w + 46. Let t be j(-17). Suppose -h + 5*l - t = 0, -4*l + 3 = -4*h + l. Let b(g) = g**3 - 4*g**2 + 2*g + 3. Calculate b(h). 0 Le...
{ "pile_set_name": "DM Mathematics" }
b + 2*b - 4 = j*z, p = b + 3*z + 6 for b. 0 Suppose -140*l + j + 14 = -137*l, -3*l + 5*j = 14. Solve k + o + l = 13, 0 = -5*k + 5*o for k. 3 Suppose -4*x - 2*h + 32 = 0, -5*x = -5*h + 8*h - 42. Suppose r - y = y - x, 3*y = 12. Solve -d - 3*n = 7, -2*n - 11 = -r*d + 7 for d. 5 Suppose -121*r + 102 = -87*r. Solve 2 = l -...
{ "pile_set_name": "DM Mathematics" }
217473? -15.8782527 What is -3740.682 less than 12722? 16462.682 What is 2.6 less than 10266085? 10266082.4 Put together -0.065269 and -590. -590.065269 0.93444+60825 60825.93444 What is 9.291 + -17.9? -8.609 What is the distance between 32293774 and 0.5? 32293773.5 Put together 1.62 and -1.76638. -0.14638 0.4+-169.527...
{ "pile_set_name": "DM Mathematics" }
v - 24 = -5*w + 89*v, 0 = -4*w + 4*v - 24. Solve -4*s - z - 14 = 0, 0 = -w*s + 5*s - 3*z + 26 for s. -4 Let p(y) = -2*y - 24. Let i be p(-10). Let l be i/(-8)*0*(-1 - 0). Solve h = 3*m + 5, l = -2*m - h + 5 for m. 0 Suppose 18 = 4*b - h + 6, 0 = 2*h. Suppose 75 = 4*w + 5*o, -b*w - 4*o + 32 + 24 = 0. Solve -5*q - 5*p - ...
{ "pile_set_name": "DM Mathematics" }
ond derivative of -2*k**4 - 772*k**3 - 141*k**2 - 2055737*k. -24*k**2 - 4632*k - 282 What is the derivative of 53258*f*m**4 - 21205*f wrt m? 213032*f*m**3 What is the second derivative of -292*k**4 + k**3 + 109*k**2 - 239383*k? -3504*k**2 + 6*k + 218 Find the second derivative of -7*l**4 - 54*l**3 - 3*l**2 - 1398211*l ...
{ "pile_set_name": "DM Mathematics" }
293 Let q(u) = -3*u**2 + 11*u + 43. Let c be q(6). What are the prime factors of (c + 42/(-30))*-1095? 2, 3, 73 Suppose -5874 = 2*i - 4*t - 25294, 5*i = 3*t + 48613. List the prime factors of i. 2, 19 Let p be 2/((2/8)/(212/32)). Suppose -5*l + 229 = -4*j - p, 0 = -4*l + j + 230. Suppose 11*n + l = 12*n. What are the p...
{ "pile_set_name": "DM Mathematics" }
v = -6 + 22. What are the prime factors of v? 2 Let j = -6 + 10. Let x(o) = -13*o + 1. Let f be x(-1). Suppose -f + j = -2*l. List the prime factors of l. 5 What are the prime factors of (35/(-14))/((-1)/30)? 3, 5 Let c = 16 - 9. What are the prime factors of c? 7 Suppose 5*p - 2*m = 27, 5*p + 7*m - 21 = 3*m. Suppose w...
{ "pile_set_name": "DM Mathematics" }
ue Suppose q + 2*d + 1 = 0, 5*q + 3*d + 1 - 10 = 0. Suppose -q*t + 852 = 291. Is t a prime number? False Let q be (-2 - -4)/(4/(-14)). Let u(y) = 2*y**2 - 9*y + 2. Is u(q) prime? True Let a = 38 - -4. Let u = 91 - a. Is u prime? False Let a(r) = -3*r - 3*r - 8 + 20. Let q be a(9). Let v = -23 - q. Is v prime? True Supp...
{ "pile_set_name": "DM Mathematics" }
9 + -3 - 60/32? 24 Let q(t) = t**3 + 11*t**2 + 8*t - 10. Let h be 8/44 + 846/66. Let p(z) = 3*z - 32. What is the lowest common multiple of q(-10) and p(h)? 70 Let r(a) = 3*a**3 + 57*a**2 - 3*a + 183. Calculate the smallest common multiple of 351 and r(-18). 10881 Let u(o) = 26*o**2 + 102*o - 2. Let b be u(-4). Suppose...
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of 46648 and 3773? 343 Calculate the highest common factor of 11 and 469799. 11 What is the highest common factor of 268618 and 98? 98 Calculate the greatest common factor of 21 and 44730. 21 What is the greatest common divisor of 2583 and 20377? 287 What is the highest common factor of 4180 ...
{ "pile_set_name": "DM Mathematics" }
st value in a, 0.4, 0? a Let s = -3 + -1. Let u(r) = -r**3 + 46*r**2 - 108*r + 879. Let y be u(44). Which is the second biggest value? (a) y (b) s (c) -5/4 (d) 5 a Let q = 9215.96 - 9216. Let m = 36 + -37. Which is the smallest value? (a) m (b) 0.04 (c) q a Let b be 41/(-205) + 9/20. Let l = 1091/6 + -181. What ...
{ "pile_set_name": "DM Mathematics" }
(b) 17055 (c) -3 b Which is the third smallest value? (a) -15 (b) 3 (c) 0.055 (d) 2 (e) -0.1578 c What is the third biggest value in 4, -16, 3/2, 1, -3446, 2/9? 1 Which is the fourth smallest value? (a) -467 (b) -63 (c) -2 (d) 0.1 d What is the fourth smallest value in -3, 42/5, -56/41, -0.2, -12, -4, -1/2? ...
{ "pile_set_name": "DM Mathematics" }
ime factors of 18509884? 2, 433, 10687 What are the prime factors of 1335817? 7, 23, 8297 List the prime factors of 760672. 2, 11, 2161 List the prime factors of 444351. 3, 73, 2029 List the prime factors of 151614. 2, 3, 8423 What are the prime factors of 6052049? 47, 128767 What are the prime factors of 12127445? 5, ...
{ "pile_set_name": "DM Mathematics" }
ich is the nearest to -2? (a) -2 (b) 0.3 (c) -3923 (d) 3 a What is the closest to -0.0501 in -0.5, 0.3, -0.2, 6? -0.2 Which is the nearest to -116? (a) -84 (b) 0.3 (c) 1.2 a What is the nearest to 3 in -2, 0.05, 0.24, -2/9? 0.24 What is the closest to -8 in -0.4, -223, 21? -0.4 Which is the closest to -2/9? (a)...
{ "pile_set_name": "DM Mathematics" }
t be d(2). Let p(k) = 1 - 5 + 2 + 3 - 3*k. Calculate t*v(s) - p(s). 2*s - 1 Let l(v) = 4*v**2 - 3*v - 1. Let r(d) = 0 - 949*d + 950*d + 1 - 1 - d**2. Calculate 2*l(q) + 4*r(q). 4*q**2 - 2*q - 2 Let h(u) = -104 + 210 - 108 - 19*u. Let q(r) = -10*r - 1. Give -2*h(i) + 5*q(i). -12*i - 1 Let a(r) = 0*r + 32 - 29 + 3*r. Let...
{ "pile_set_name": "DM Mathematics" }
+ 2 - (-28 + (-7 - -31)) 7 What is (-23 - -2) + (-478 - -498)? -1 What is (5 - (-13 - -17)) + 1? 2 Evaluate -3 + -9 + (-7 - -12) + -6. -13 -19 + 3 + -4 - (3 + (0 - 0)) -23 What is -39 + (24 - 11) - -11? -15 (-14 - -3 - -8 - (-5 + 0)) + -13 -11 What is the value of -6 - (-10 - -5) - -16 - (5 + -2)? 12 Calculate 7 + 1 + ...
{ "pile_set_name": "DM Mathematics" }
m in decreasing order. 2, -2, m Let c = -8.7 + 9. Let z = -0.1 - c. Let n = 0.4 + -0.1. Sort n, z, -5 in decreasing order. n, z, -5 Let d = 71 + -71.066. Let n = d + -4.934. Put -2/11, -2/5, 2/3, n in ascending order. n, -2/5, -2/11, 2/3 Let l(k) = 15*k + 199. Let v be l(-13). Let h = -3 + 1. Sort h, v, 2. h, 2, v Let ...
{ "pile_set_name": "DM Mathematics" }
. Let t be f(g). Let d = t + -3. What is the greatest common factor of d and 12? 6 Let a = -20 + 21. Calculate the greatest common divisor of 9 and a. 1 Suppose 1 = -2*h + 5. What is the highest common factor of 5 and h? 1 Let z be 1/(-2)*(-6 + 2). Suppose z*o - 1 = o. Suppose 2*d = -3*q + 13, 3*q - 25 = -3*d - 4. Calc...
{ "pile_set_name": "DM Mathematics" }
6 0.00424 Calculate -8*-502. 4016 Calculate 24*0.018. 0.432 Product of 0.06 and -1667. -100.02 -1.9 times -49.7 94.43 Product of -0.11 and 855. -94.05 -16 times -0.3 4.8 -90 * -2 180 Product of 0.3 and -47. -14.1 Multiply -0.3 and 7.3. -2.19 -0.51*0.5 -0.255 What is the product of 10700 and -0.2? -2140 Work out 8590 * ...
{ "pile_set_name": "DM Mathematics" }
t(567)))*-1)**2*-3 + 0)*3. -250776 - 10206*sqrt(7) Simplify -4 + -5 + ((sqrt(432) - (1*sqrt(432)*5 + sqrt(432))) + sqrt(432))**2 + (sqrt(432) - (sqrt(432) + 3 + 2))**2 + -5. 6923 Simplify (-5 + -1*(1 + (sqrt(637)*3*2)**2))*-4. 91752 Simplify ((1*(sqrt(99)*1*2 - sqrt(99)))/(2*sqrt(9)*-1 + 5*(sqrt(9) + sqrt(9) + sqrt(36)...
{ "pile_set_name": "DM Mathematics" }
k - m. List the prime factors of c. 19 Let d(l) = -312*l - 4. Suppose -5*f = a - 9*f - 3, -4*f - 4 = 0. What are the prime factors of d(a)? 2, 7, 11 Let i = 63 - 62. Let q = 13 + i. What are the prime factors of q? 2, 7 Let l = 5 + -1. Suppose -1 = s + 5*n, -s + l*n = s - 12. Suppose -y + 2*b + 49 = 0, 4*y = -3*b + s*b...
{ "pile_set_name": "DM Mathematics" }
2, 3 Let x(o) = -3*o + 1. Let u be x(-4). Let a = u - 9. What are the prime factors of a? 2 What are the prime factors of (15/(-10))/((-12)/688)? 2, 43 Suppose 0 = 2*i + 3*l - 199, -3*i - l + 255 = -61. List the prime factors of i. 107 Let p(z) = 2*z - 3 + 0 + 4 + 0. What are the prime factors of p(2)? 5 Suppose b + 20...
{ "pile_set_name": "DM Mathematics" }
e nearest to x? (a) o (b) 2/21 (c) 0.4 (d) -9 b Let y be (-25)/(-25)*-36 + 38. Let g = -3.5 + 3. Which is the nearest to -0.04? (a) -5 (b) y (c) g c Suppose 0 = -4*v - 2*f + 1 + 1, -5*v = -3*f + 3. Suppose v = b - 7 + 5. Let z = -5 + -2. What is the closest to -2/5 in z, 1/3, b? 1/3 Let o = -0.57063 - -0.27063. ...
{ "pile_set_name": "DM Mathematics" }
. -114*c Expand (-9 + 0*a + 3*a + 14)*(-2*a**2 + 3*a**2 - 3*a**2). -6*a**3 - 10*a**2 Expand (-19*z + 19*z - z**2)*(4*z + 2*z - 4*z). -2*z**3 Expand -2*o**2 - 3*o**2 - 11*o**2 + (-1 + 3*o + 1)*(-2 - 2*o + 2). -22*o**2 Expand (4*v + 1 - 1)*(-29 + 59 - 29). 4*v Expand -p**4 - 2*p**4 - 2*p**4 + (-3*p**2 + 0*p**2 + 2*p**2)*...
{ "pile_set_name": "DM Mathematics" }
9, -9359? -10521 What comes next: 111, 278, 455, 648, 863, 1106, 1383? 1700 What is next in 1586, 3232, 4940, 6704, 8518? 10376 What comes next: 17, 161, 417, 839, 1481, 2397, 3641? 5267 What is next in -77961, -155939, -233931, -311943, -389981, -468051, -546159? -624311 What comes next: -308, -263, -214, -161, -104, ...
{ "pile_set_name": "DM Mathematics" }
4)*l*l)**(-21)/(l/(l*l**(-21))*l*l**(2/67)))**4 assuming l is positive. l**(-24195/67) Simplify ((((d**(2/3))**(-35))**(2/31))**(-2/97))**(7/5) assuming d is positive. d**(392/9021) Simplify (((p*p/(p*p**(-9)*p)*p*(p/(p**(-2/29)/p))/p)**(9/7))**(-39))**31 assuming p is positive. p**(-3492801/203) Simplify (b**(1/3))**(...
{ "pile_set_name": "DM Mathematics" }
t y(d) = 0 - 2*d**2 - 1 - 3 + 11*d + d**2. What is the tens digit of y(a)? 2 What is the units digit of 1 + -7 + 2687 + 11? 2 Let a(n) = -n**3 - 3*n**2 + 4*n - 4. Let q be a(-4). Let h be ((-12)/8)/(2/q). Suppose -5*c + h = u + 5, -u + 16 = -4*c. What is the units digit of u? 8 What is the tens digit of (-3334)/(-10) -...
{ "pile_set_name": "DM Mathematics" }
p(b) = b**2 - 2*b - 1. Give p(k). 14 Let h be 1/(-2) - (-2 + 19/(-2)). Let t(u) = 11*u - 12*u**2 - 1 + 6*u**2 - h*u. Let x be (2/(-4))/((-1)/2). Give t(x). -7 Let z(u) = -2*u**2 - 3*u - 5. Let t(o) = o**2 + o + 1. Let i(x) = 3*t(x) + z(x). Suppose 3*k - 14 + 38 = -5*l, 0 = k - 5*l - 12. Calculate i(k). 7 Let x(s) = -s...
{ "pile_set_name": "DM Mathematics" }
- 8 = 0 for a. -4 Solve -4*i = 3*m + 26, 4*m + 6*i = 11*i + 17 for m. -2 Solve 0 = -2*m - 627*z + 625*z + 4, 3*z = -6 for m. 4 Solve -5*u - 8 = -3*f + 1, 6 = -u + 2*f for u. 0 Solve -4*d - 15 = -2*w - 5, -5*w - 4*d + 11 = 0 for w. 3 Solve -3*k + 7*k - 7 = -x, 0 = 4*x + 2*k - 14 for x. 3 Solve 0 = -2*o - 4*w - 12, o = -...
{ "pile_set_name": "DM Mathematics" }
9448212*w**5 + 8846*w**2. 566892720*w**2 Find the third derivative of 33*s**5 + s**4 - 26151*s**3 - 4807256*s**2. 1980*s**2 + 24*s - 156906 What is the second derivative of -1207203354*l**3 - 84458561*l + 5? -7243220124*l Find the third derivative of -15199530*l**3 - 2301797*l**2 - 7*l. -91197180 Differentiate -254597...
{ "pile_set_name": "DM Mathematics" }
ve. u**(4/5) Simplify ((x**1*x**(-6))**(-46))**19 assuming x is positive. x**4370 Simplify (((s**(1/3)*s*s)/(s*s*s/s**(-7)*s*s))/(s**(-2/9)*s*s)**(2/63))**43 assuming s is positive. s**(-237059/567) Simplify j/j**(-3/7)*j*j**(-11/5)/j*j*j**27*(j/j**8)/j assuming j is positive. j**(673/35) Simplify (g**4/(g*g**(-14)))/(...
{ "pile_set_name": "DM Mathematics" }
the common denominator of -77/380 and -69/15656? 78280 Find the common denominator of -37/520 and -62/7605. 60840 Calculate the common denominator of 35/48 and 65/356. 4272 Calculate the common denominator of 61/10 and 45/9368. 46840 What is the common denominator of -31/56 and -1/153604? 2150456 Calculate the lowest c...
{ "pile_set_name": "DM Mathematics" }
g = 28 + y. Solve 2/5*d**2 - g + 1/5*d**5 - 1/5*d**4 + 1/5*d - 2/5*d**3 = 0. -1, 1 Let v(d) be the first derivative of 5 + 0*d**2 + 0*d - 1/4*d**4 - 1/3*d**3. Find w, given that v(w) = 0. -1, 0 Let z = -6 + 8. Let t(m) be the first derivative of 3/14*m**4 + 3 + 2/7*m**3 + 2/35*m**5 + 0*m + 1/7*m**z. Factor t(u). 2*u*(...
{ "pile_set_name": "DM Mathematics" }
m(r). Let x(v) = 2*v**2. Calculate x(t(z)). 2*z**2 - 120*z + 1800 Let z(d) = 183 - 183 - d. Let w(j) = 23*j**2. Give z(w(t)). -23*t**2 Let y(n) = -215*n**2. Let d(x) = 7*x. What is d(y(i))? -1505*i**2 Let x(f) = -172*f. Let p(q) = -12*q. Calculate x(p(r)). 2064*r Let u(i) = 11*i - 3. Let l(r) = -144*r + 40. Let k(b) = ...
{ "pile_set_name": "DM Mathematics" }
563*q - 12 - 3 + 9 as l + n*q and give l. -2 Rearrange -3*f**4 - 4*f**4 + 88*f**2 - 86*f**2 + 5*f**4 + 75 to d*f**2 + u*f**4 + s + h*f**3 + q*f and give u. -2 Express (39 - 19 - 17)*(-2*h - 1 + 1) - 1 - 2*h + 4*h - 1 in the form j*h + m and give j. -4 Express (c + 2 + 4 - 10)*(-c + c + c) - 2*c**2 + 11 + 0*c**2 + 13 a...
{ "pile_set_name": "DM Mathematics" }
rom wlwwlwlplwwppplb. What is prob of sequence pp? 1/20 Three letters picked without replacement from {h: 2, d: 8, x: 7, e: 1, g: 1}. Give prob of sequence xxg. 7/969 Three letters picked without replacement from arrrrrrarrvrraw. What is prob of sequence waa? 1/455 Calculate prob of sequence nn when two letters picked ...
{ "pile_set_name": "DM Mathematics" }
4*m. Solve -s + 3 = -2*i, -5*i - p = s + 12 for s. -5 Suppose 5*b - 20 = -5*k, 3*k = -3*b - b + 16. Solve -2*c + 3 = z - 2, 0 = b*z - 4*c + 4 for z. 1 Let c(k) = k**3 + 2*k**2 - 3*k + 2. Let b be (-9)/(-15) + 54/(-15). Let h be c(b). Solve -2*p - 16 = 4*r + 12, 17 = h*p - 5*r for p. -4 Let p = 187 + -81. Let g be (-18...
{ "pile_set_name": "DM Mathematics" }
3 Calculate the remainder when 40116 is divided by 3828. 1836 What is the remainder when 120602 is divided by 1604? 302 Calculate the remainder when 1643335 is divided by 19799. 18 What is the remainder when 597958 is divided by 214? 42 What is the remainder when 390373 is divided by 6296? 21 Calculate the remainder wh...
{ "pile_set_name": "DM Mathematics" }
+ 8*v + v**3 to the form a*v + y + d*v**3 + h*v**2 and give a. -2 Express (174 - 174 + 8*o**2 + (-7 + 3 + 3)*(0*o + o**2 + 0*o))*(2*o - 4*o + 0*o) as q + i*o**2 + h*o + g*o**3 and give g. -14 Rearrange -79*z - z**3 - 2*z**4 + 0*z**4 + 2*z**2 - 3*z**2 + 76*z to the form p*z**3 + l + o*z**2 + s*z + y*z**4 and give p. -1...
{ "pile_set_name": "DM Mathematics" }
ctors of z. 2, 3 Let j be ((1 - 0) + (-3)/9)*33. Suppose -8*a + j = 6. List the prime factors of a. 2 Suppose -2*q - 2697 = -w, -5401 = -27*w + 25*w - 3*q. List the prime factors of w. 2699 Suppose -5*b + 498 = -342. List the prime factors of b. 2, 3, 7 Let z be (-33)/(-18) + (-1)/(-6). Suppose -4*n - 16 = 5*o, z*n - 7...
{ "pile_set_name": "DM Mathematics" }
ermine o so that -14660/3 - 3685/3*o**2 - 14680/3*o - 5/3*o**3 = 0. -733, -2 Let w(k) be the third derivative of -2*k**6/9 + 134*k**5/9 - 7015*k**4/24 - 2645*k**3/2 - 821*k**2. Suppose w(n) = 0. What is n? -1, 69/4 Suppose 5*a - 2*g - 23 = 0, -2*g - 2 = 10*a - 8*a. Suppose -5*j - v + 35 = 13, -a*j = -2*v - 8. Determine...
{ "pile_set_name": "DM Mathematics" }
s = 1534 - 691. What is the hundreds digit of s? 8 Let y(u) = -15*u - 12. Let f(z) = 7*z + 6. Let w(l) = 5*f(l) + 2*y(l). What is the units digit of w(14)? 6 Suppose -4*b + 6*b = 4. Suppose 95 = -y + b*y. What is the units digit of y? 5 Suppose 0 = -7*y + 2*y - 4*y. Suppose -456 = -5*r + r + 3*a, y = -5*r - 2*a + 547. ...
{ "pile_set_name": "DM Mathematics" }
6230*l + 4*o = 6225*l - 36 for l. 0 Solve 4*a + d - 16 = 0, -353*d = -348*d + 20 for a. 5 Solve 2*l - 42*c + 46*c - 42 = 0, l + 3*c - 29 = 0 for l. 5 Solve 2*g + 36 = -2*j, -3*g - 2119*j = -2125*j + 45 for g. -17 Solve -m = 3677*i - 3668*i + 34, -2*i = 3*m + 27 for m. -7 Solve -24*k + 8*p + 32 = -22*k, -2*p - 26 = 4*k ...
{ "pile_set_name": "DM Mathematics" }
(475) + (2 + sqrt(475))*6 + 1 - ((sqrt(2299) + (sqrt(2299) - (1*sqrt(2299) + sqrt(2299) - sqrt(2299))) + 4)**2 + 1). -2303 - 53*sqrt(19) Simplify (sqrt(72)/sqrt(2)*-4)/(sqrt(1200) - (sqrt(1200) - sqrt(1200)*3)) - (0 + (sqrt(3) - sqrt(9)/(sqrt(9)/sqrt(3)) - ((sqrt(192)*-4)**2 + sqrt(192)))). 118*sqrt(3)/15 + 3072 Simpli...
{ "pile_set_name": "DM Mathematics" }
erivative of 2*l**3 + 42. Let q(t) = 3*t**2. Calculate q(n(b)). 108*b**4 Let f(v) = -13 + 186*v + 13. Let p(o) = -2*o**2. What is p(f(m))? -69192*m**2 Let z(j) = 9*j**2 + 7*j. Let l(w) = 8*w**2 + 6*w. Let v(o) = -7*l(o) + 6*z(o). Let u(y) be the third derivative of y**4/24 - y**2. Give v(u(h)). -2*h**2 Let n(d) be the ...
{ "pile_set_name": "DM Mathematics" }
783.796us in milliseconds? 1.783796 How many grams are there in 991873.6kg? 991873600 What is twenty-nine fifths of a microsecond in nanoseconds? 5800 What is thirteen eighths of a litre in millilitres? 1625 Convert 0.8533887 nanoseconds to minutes. 0.000000000014223145 What is 3/5 of a meter in centimeters? 60 How man...
{ "pile_set_name": "DM Mathematics" }
- 266 - 130. Suppose -u = 2*u - p. Calculate the remainder when u is divided by 7. 5 Let t = -50 - -95. Suppose 4*k + 3 = a, 2*a + a + 15 = 0. What is the remainder when t is divided by 10/k + 22 + -5? 9 Suppose u - r - 35 = 0, -2*u - 70 = -5*u - 4*r. Calculate the remainder when 117 is divided by u. 27 What is the re...
{ "pile_set_name": "DM Mathematics" }
d). Let f(p) = 9*p**2. Calculate k(f(y)). 9*y**2 Let x(z) = 2*z. Let n(c) = 85 + 29*c - 156 + 71. What is n(x(a))? 58*a Let n(z) = -22*z**2 - 5*z. Let j(m) be the second derivative of 595*m**4/12 + 68*m**3/3 + 8*m. Let a(o) = 5*j(o) + 136*n(o). Let x(v) = -v. Determine a(x(q)). -17*q**2 Let t(b) = 4*b - 10. Let r(c) = ...
{ "pile_set_name": "DM Mathematics" }
r for r. 0 Let n = 49 + -103. Let p = n + 54. Suppose -m - 8*m + 27 = p. Solve 20 = 5*k - 5*s, -m*k - 4*s = -11 - 1 for k. 4 Let s = 1053 - 1039. Solve 5*w + 5*b + 24 - s = 0, 2*b = -3*w - 3 for w. 1 Let b(p) = -9*p**2 + 15*p + 15. Let q be b(-1). Let v(o) = -2*o**3 - 17*o**2 + 8*o + 3. Let f be v(q). Solve 0*i + 28 = ...
{ "pile_set_name": "DM Mathematics" }
). Which is smaller: x or 1/51? 1/51 Let p(o) = o + 17. Let r(d) = d + 16. Let i(k) = 5*p(k) - 6*r(k). Let j be i(-8). Which is smaller: -11/6 or j? j Let x be (-1674)/(-21) - (-4)/14. Is 81 < x? False Let i(d) = d**2 + 7*d + 1. Let n be i(-7). Suppose -690 + 162 = 4*c. Let a be 50/c + (-6)/(-18). Which is smaller: n o...
{ "pile_set_name": "DM Mathematics" }
210.1 Sort -1213, -0.2, -12, 4.99. -1213, -12, -0.2, 4.99 Sort 307, -1205, -61. -1205, -61, 307 Sort 9/13423, -5, 2/27 in ascending order. -5, 9/13423, 2/27 Put -2131, 0, -107, -2, 20, -6 in increasing order. -2131, -107, -6, -2, 0, 20 Put 3.4, 5, -319/5, -32 in increasing order. -319/5, -32, 3.4, 5 Put -2, 917413, -10...
{ "pile_set_name": "DM Mathematics" }
d? -471072*d Find the third derivative of -3801*n**3 + 92*n**2 + 30*n + 1 wrt n. -22806 Find the third derivative of 2*h**5*p**2 + 2*h**3*p**3 + 703*h**3 - 2*h**2*p**2 - 19918*h**2*p + p**3 wrt h. 120*h**2*p**2 + 12*p**3 + 4218 What is the second derivative of -14*g*v**2 - 38679*g*v - 1558*v**2 wrt v? -28*g - 3116 Fin...
{ "pile_set_name": "DM Mathematics" }
4, 119, -5, 3 in descending order. 119, 4, 3, -5 Put 25, -6, 2, -5, -13 in decreasing order. 25, 2, -5, -6, -13 Put -1, -19/6, -11 in descending order. -1, -19/6, -11 Put 0.3, 1, -1/3, -9 in descending order. 1, 0.3, -1/3, -9 Put 0.3, -0.3, -4, -3/2, 1 in descending order. 1, 0.3, -0.3, -3/2, -4 Put 3/2, 5, -872 in de...
{ "pile_set_name": "DM Mathematics" }
3, 19, 257639 What are the prime factors of 465078817? 7, 107, 620933 List the prime factors of 918232611. 3, 17, 23, 349, 2243 What are the prime factors of 292687160? 2, 5, 7317179 List the prime factors of 711529196. 2, 7, 23, 157837 List the prime factors of 307774957. 7, 971, 45281 What are the prime factors of 88...
{ "pile_set_name": "DM Mathematics" }
alculate -5 divided by -138530. 1/27706 Calculate 17821 divided by 6. 17821/6 What is 1 divided by 14348? 1/14348 Calculate 79 divided by -8437. -79/8437 Calculate 1866 divided by 65. 1866/65 Calculate -2 divided by 1636277. -2/1636277 Divide 92 by 617. 92/617 1261611 divided by 533 2367 What is 31614 divided by -33? -...
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -83*x + 81*x + 128*x**3 - 40*x**3. 88*x**3 - 2*x Collect the terms in -5*w - 3*w + 8*w + 2*w**2. 2*w**2 Collect the terms in -3*v**2 + 2005952*v - 2005952*v. -3*v**2 Collect the terms in 6*v + 8*v + 1 - 3 + 4. 14*v + 2 Collect the terms in -25*h**2 + 25*h**2 - 92*h**3. -92*h**3 Collect the terms i...
{ "pile_set_name": "DM Mathematics" }
In base 4, what is -221 - 33021? -33302 In base 7, what is -2 + -2345? -2350 In base 15, what is 1 + -5d3c? -5d3b In base 4, what is -11 - -13110300? 13110223 In base 9, what is -185 - 58766? -60062 In base 4, what is 3032 - 133? 2233 In base 6, what is -32 + 321351? 321315 In base 3, what is 101121122000 - -2? 101121...
{ "pile_set_name": "DM Mathematics" }
common multiple of 160 and 2369120? 2369120 What is the lowest common multiple of 8 and 171983? 1375864 What is the smallest common multiple of 7098 and 42? 7098 What is the common denominator of -95/3062 and 13/5? 15310 What is the smallest common multiple of 1089504 and 30? 5447520 What is the least common multiple o...
{ "pile_set_name": "DM Mathematics" }
l**4 + i + 28/3*l**3. 2*l**2*(l + 7)**2/3 Let z be (-104)/(-10) + -6 + (-3)/(-5). Let r be ((-1)/(-3))/((-1)/(-12)). Factor -35 + 3*k**z - r*k**3 - 4*k**2 + k**5 + 35 + 4*k**4. 4*k**2*(k - 1)*(k + 1)**2 Let m = 6 - -2. Suppose -5*h + 15 = -2*c + 6*c, 4*c - 17 = -3*h. Factor 0*k**3 - m + 75*k - 35*k**2 + c*k**3 - 37 + 0...
{ "pile_set_name": "DM Mathematics" }
he units digit of t? 5 Let u(l) = 3*l - 1. Let h be u(1). Suppose 0 = 5*b - 3*y + h*y + 325, -330 = 5*b - 2*y. What is the tens digit of 24*(b/(-12) + -3)? 5 Suppose -4*d - 19*d - 29532 = 0. Let j = d + 2511. What is the tens digit of j? 2 What is the units digit of -5*1 - 44646/(-6 + -15)? 1 Let f = -14 + -119. What i...
{ "pile_set_name": "DM Mathematics" }
h(k) = -4578*k**2 + 104*k - 24. Let i(a) = 2285*a**2 - 52*a + 12. Let w(t) = 4*h(t) + 7*i(t). What is the second derivative of w(x) wrt x? -4634 Let c(a) = 2749*a**3 + 12*a**2 + 6*a - 998. Let z(q) = -2746*q**3 - 16*q**2 - 7*q + 1002. Let g(f) = 4*c(f) + 3*z(f). Find the second derivative of g(h) wrt h. 16548*h Let c(z...
{ "pile_set_name": "DM Mathematics" }
2 Solve 4*b + 4*a - 20 = 0, -2*a = -21*b + 2582 - 2546 for b. 2 Solve -4*o + 4*k + 560 = -0*o - o + 317 + 290, -2*o - 50 = -4*k for o. 3 Solve 2*r + 15*t - 50 - 139 = 0, -35*r - 49 - 24 = -2*r + 2*t for r. -3 Solve -8*q = 6*p + 158, 4*p + 2*q + 75 + 22 = -25 for p. -33 Solve 6*m - 29 = 5*g, 0 = 2*m - 4*g - 971 + 959 fo...
{ "pile_set_name": "DM Mathematics" }
xt in 1124, 3243, 6368, 10517, 15708, 21959, 29288? 37713 What is the next term in -74916913, -74916914, -74916915, -74916916? -74916917 What is the next term in 130589, 261154, 391691, 522188, 652633? 783014 What is next in -37607, -38154, -38703, -39254? -39807 What is next in -594430, -594553, -594678, -594805? -594...
{ "pile_set_name": "DM Mathematics" }
+ 5*s = 5, s + 10 = -2*d + 5*d. Solve -d*n = 10 - 35 for n. 5 Let j(t) = -t**3 + 5*t**2 - 4*t - 1. Let q be j(3). Solve -q = 5*o - 4*o for o. -5 Let t = 0 - -1. Let b = 1 + t. Solve 2*k + 8 = -b for k. -5 Let w = -20 + 11. Let j = 13 + w. Let i(r) = -r**3 + 3*r**2 + 3*r + 5. Let k be i(j). Solve g - k = -4 for g. -3 Le...
{ "pile_set_name": "DM Mathematics" }
*2 - 2*s - 2. Let q be d(-2). Let v = -12 + q. Suppose -v*p = -4*p + 40. What is the greatest common factor of p and 4? 4 Let o = -2 - 4. Let q be (3 - 3 - o)/2. Suppose q*g + g - 12 = -4*y, -g - 5 = -y. Calculate the highest common factor of y and 16. 4 Let b be (-1 + (-1)/(-2))*0. Suppose 0 = -g - b*g + 5. Suppose g*...
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {t: 1, q: 4, r: 5, l: 4, f: 2}. 1/30 What is prob of picking 2 z when two letters picked without replacement from zzzz? 1 Two letters picked without replacement from {n: 13, m: 5}. Give prob of picking 1 n and 1 m. 65/153 Four letters picked without replacement from ycbcbsnn. Give prob of pi...
{ "pile_set_name": "DM Mathematics" }
k - 67 = -3*p. What is the units digit of p? 2 Suppose 753 + 47 = 2*v. What is the tens digit of v? 0 Let g(p) = 2*p**2 + 16*p + 15. What is the units digit of g(-10)? 5 Let j = -2 + 6. Suppose -12 = -j*w - 3*y, -3*y - 16 = 4*w - 7*y. Suppose -4*m = -4 - w. What is the units digit of m? 1 What is the hundreds digit of ...
{ "pile_set_name": "DM Mathematics" }
mmon factor of 549 and 300303? 549 What is the highest common factor of 710 and 450140? 710 What is the greatest common factor of 360 and 56664? 72 What is the highest common factor of 215 and 10495? 5 Calculate the greatest common factor of 56 and 83426. 14 Calculate the highest common factor of 2990 and 42458. 598 Wh...
{ "pile_set_name": "DM Mathematics" }
t q = 23 - 24. Let l be (5 - 18/4)*q. Let f be (-32)/14 + (-2)/(-1). Which is the closest to l? (a) -2 (b) -0.1 (c) f c Let w be 1/3 + (-7)/(-21). Let l = 0.054 - -0.446. What is the nearest to w in l, -0.3, -3/2? l Suppose -14 = 3*r - 3*p + 19, 4*r + 3*p + 9 = 0. Let u be 2/r - 4/(-6). Which is the closest to -1? ...
{ "pile_set_name": "DM Mathematics" }
-5*o, 4*o - r = 0 for a. 2 Suppose 81 = -4*v - 27. Suppose -2*s + 2*x = 48, 3*s + 42 + 30 = -5*x. Let j = s - v. Solve j*f + 3 = -4*b, 4*f = -3*b + 4 - 1 for b. -3 Suppose -7*n + 4*n = 0. Suppose 0 = -2*d - n*d + 4. Solve -3*q = g + 14, -d*g - 21 = 5*q + 2 for g. 1 Suppose 2*g + 35 = 7*g. Suppose -j + 7*j + 0*j = 0. S...
{ "pile_set_name": "DM Mathematics" }
t is the greatest common divisor of 144 and w? 9 Let n be (14/7 + -5)*1 + 37. What is the greatest common factor of n and 187? 17 Suppose 3*a - 6 = -0*t + 4*t, -9 = 3*t. Let b be a - (-6 - 2/1). Suppose 54 = -2*r + 3*r. What is the highest common factor of r and b? 6 Suppose 0 = -2*d - 2*d + 8. Suppose -662 = -0*u - 4*...
{ "pile_set_name": "DM Mathematics" }
0*f**2 + 5*f - 2*t**2 wrt t. -108*f**2*t - f**2 - 4*t What is the second derivative of -4*a*k**5 + 2*a*k**2 - 5*a*k + k**2 + 10*k wrt k? -80*a*k**3 + 4*a + 2 Find the second derivative of -1443*o**4 - 1031*o wrt o. -17316*o**2 What is the first derivative of -6174*u - 7532 wrt u? -6174 Find the third derivative of 3*j*...
{ "pile_set_name": "DM Mathematics" }
-1 = w*i - 4*s, -3*i + i + 4 = 2*s for i. 1 Suppose 22*o - 4 = 21*o. Suppose -5*q + 85 = -5*r, -o*q + 3*r = -2*q - 35. Solve -c - c = -4*f - q, 2*f + 3*c = -16 for f. -5 Let q = -63 + 64. Let r be ((-15)/12)/(3/(-12)). Let t be (r - 2) + (3 - q). Solve -3*n = k - 11, 0 = 5*n + t*k + 1 - 26 for n. 3 Let d be (-4)/(-5)*(...
{ "pile_set_name": "DM Mathematics" }
t = 1.08 + -0.81. Let c = 22/3 - 7. Is t >= c? False Let p = -44 - -51. Suppose -7 = p*n - 28. Suppose -n*w + 15 = -5*o, 3*w - 4*o - 12 = -0*w. Is 4/63 at least w? True Let k = 12451 - 11582. Which is greater: 870 or k? 870 Suppose 5*s + 19 = 3*k, -15 = -5*s - 5*k - 10. Suppose 4*x = 3*f + 26 + 3, 5*x = 2*f + 38. Whic...
{ "pile_set_name": "DM Mathematics" }
1 x? 1/10 Two letters picked without replacement from cchencdenynhhec. Give prob of picking 2 c. 2/35 Three letters picked without replacement from {c: 1, h: 1, r: 1, s: 1, z: 1}. What is prob of picking 1 c, 1 h, and 1 r? 1/10 Two letters picked without replacement from {k: 5}. Give prob of picking 2 k. 1 Three lette...
{ "pile_set_name": "DM Mathematics" }
321224 rounded to the nearest integer? 0 Round 0.304288959 to five decimal places. 0.30429 Round -0.0000950566869 to 7 dps. -0.0000951 What is -2459085.67 rounded to the nearest 100? -2459100 What is 51412.5349 rounded to the nearest 1000? 51000 Round 1048.246292 to the nearest 10. 1050 Round 1034922.901 to the nearest...
{ "pile_set_name": "DM Mathematics" }
+ 2328 - 469 - 460 - 470. -31*k - 1 Collect the terms in 1 + 58*o**3 - 1 - 195*o**3 + 50*o**3 + 64*o**3. -23*o**3 Collect the terms in -3743*z**2 + 14808*z**2 - 3707*z**2 - 3710*z**2 - 3700*z**2. -52*z**2 Collect the terms in 551017*h + 551259*h - 1108211*h. -5935*h Collect the terms in 384*k + 409*k + 32*k - 1625*k. -...
{ "pile_set_name": "DM Mathematics" }
15 - 5 - 12). 140*f**5 Expand (7 - 3 - 1 + (0 - 4 + 5)*(-2 + 0 + 3) + (12 - 6 - 8)*(4 - 1 - 4))*((-4 + 0 + 1)*(-4*v + 0*v + 2*v) + (-v + v - v)*(4 + 0 + 0)). 12*v Expand (d - 2 + 2)*(-2*d - 3*d - d) + (-d + 4*d + 3*d)*(0*d + 11*d - 25*d). -90*d**2 Expand ((-2*p + 4 - 4)*(1 - 2 + 3) + (-4*p + 5*p - 2*p)*(-1 - 1 + 1))*(2...
{ "pile_set_name": "DM Mathematics" }
-2/3, 17, 4/7, -0.01? 4/7 Which is the third biggest value? (a) 718 (b) -2/3 (c) 4 b Which is the fourth smallest value? (a) -0.3 (b) 12/11 (c) 0.5 (d) 5 d Which is the biggest value? (a) 0.06 (b) 0.7 (c) -10/17 (d) 3 d Which is the smallest value? (a) 6 (b) 4 (c) -2/5 (d) 0.4 c What is the fourth smalle...
{ "pile_set_name": "DM Mathematics" }
w). -23 Let i(n) be the second derivative of 5*n**3/6 + n**2 - 8*n. Let m be 0 - (4 - 1) - -7. Let z be 1/1 + (1 - m). What is i(z)? -8 Let b(c) = -c**3 - 2*c**2 + 3*c - 3. Let s be ((-12)/(-9))/((-2)/6). Let k be 90/(-8) - 1/s. Let f = k + 8. Calculate b(f). -3 Suppose 10 = -5*h, 3*y - h = 17 + 15. Suppose 2*a + 3*a =...
{ "pile_set_name": "DM Mathematics" }
9 - 5. Let r be c(v). Let n = 513 - 515. Is r < n? False Let w = -7260915/1352 - -10741/2. Is w > 0? True Let d = 1120/3149 + 56/67. Which is smaller: 3 or d? d Let r = 128/225 - -17/225. Let j = -1/45 - r. Which is greater: 2/21 or j? 2/21 Let b(i) = -2*i**2 - 80*i + 530. Let w be b(6). Is w at most -387/17? False Su...
{ "pile_set_name": "DM Mathematics" }
ve 8*x - s = 3*x for x. 3 Let h = -663 + 825. Solve -22*l + 49*l = h for l. 6 Let p be -27 + 30 + 1/1. Suppose -p*j + 5*w + 13 = 0, -22*j + 20*j - 5*w = 1. Solve 0 = -3*v + 8 - j for v. 2 Suppose t - 286 = 2*m, m = 4*m - 9. Let c = t + -261. Solve -5*i - c = -6 for i. -5 Let b(f) = 6*f + 57. Let r(g) = -g**2 + 4*g. Let...
{ "pile_set_name": "DM Mathematics" }
4. Suppose 2*n + i - 2 = 0, i - 5 = n + 3*i. Let h(d) = d**2 + 3*d - 2. Let z be h(-4). Sort n, z, -1, t in descending order. n, z, -1, t Let m = -4.1 - -5. Let k = -25.538 - -25.438. Put k, m, -1 in increasing order. -1, k, m Let i(s) = -s**3 - 8*s**2 - 8*s - 1. Suppose 23 + 61 = -12*l. Let c be i(l). Put 0.3, 0, c, 5...
{ "pile_set_name": "DM Mathematics" }
/(-3))? -1 (1/1)/((-11)/(66/30)) -1/5 Calculate ((-12)/(-4))/((12/(-1))/4). -1 Calculate -6*3/(-27)*(-6)/8. -1/2 What is the value of ((-9)/15)/((-57)/10)? 2/19 Evaluate (32*25/700)/(4/14). 4 Calculate (2/(-4))/((-21)/(-6)). -1/7 Calculate 6/(2/(-2*(-4)/(-16))). -3/2 Evaluate (-1)/(-5)*32/32. 1/5 ((-2)/20)/((-36)/(-90)...
{ "pile_set_name": "DM Mathematics" }