question stringlengths 9 165 | answer stringlengths 6 35 |
|---|---|
b'Let v(w) = -w**3 + 12*w**2 - 12*w + 13. Let l be v(11). Suppose l*p + 10 = 7*p. Factor -1/3*y**p + 1/3*y + 2/3.\n' | b'-(y - 2)*(y + 1)/3\n' |
b'List the prime factors of 137704.\n' | b'2, 7, 2459\n' |
b'What is the value of (-1690)/1859 - (-3894)/(-242)?\n' | b'-17\n' |
b'What are the prime factors of 51392938?\n' | b'2, 17, 593, 2549\n' |
b'What is the third derivative of 347*a**6 - 1557*a**6 + 72*a**6 + 18 + 462*a**6 + 7*a**2 wrt a?\n' | b'-81120*a**3\n' |
b'Calculate the highest common factor of 838090080 and 80.\n' | b'80\n' |
b'Simplify 2 + (((1*sqrt(176) - (sqrt(66)*-2)/sqrt(6)) + 5)**2 - (-2 + (-1*(sqrt(11) + 0) + sqrt(11) - sqrt(11) - (-1 + sqrt(11) + 3)**2))).\n' | b'65*sqrt(11) + 440\n' |
b'Express -4447 + 4448 + 2*r + 0*r + 152*r**2 + r**4 as l + h*r**2 + m*r**4 + y*r + o*r**3 and give m.\n' | b'1\n' |
b'What is 5355152452 to the power of 1/5, to the nearest integer?\n' | b'88\n' |
b'Two letters picked without replacement from {g: 3, i: 6, s: 2, l: 1}. What is prob of picking 1 i and 1 g?\n' | b'3/11\n' |
b'Let u be 2 + (-114)/8 - 4/(-16). Let k be u/(-5)*(-70)/(-3). Suppose -k = 6*s - 8*s. What are the prime factors of s?\n' | b'2, 7\n' |
b'What are the prime factors of 93339180?\n' | b'2, 3, 5, 11, 17, 47, 59\n' |
b'Calculate prob of picking 1 u and 3 t when four letters picked without replacement from {t: 11, u: 1}.\n' | b'1/3\n' |
b'Let t = 5304 + -2374. What is the hundreds digit of t?\n' | b'9\n' |
b'Let x(z) = z**2 + 294*z - 3980. What is x(-307)?\n' | b'11\n' |
b'Find the common denominator of (2032/288 - 7)/((5/(-92))/(-5)) and -10/9.\n' | b'9\n' |
b'Let h be -11 + 20*48/90. What is the nearest to -1/2 in h, -2/15, 12?\n' | b'h\n' |
b'Let k(o) = 283*o**2 - 12*o - 282*o**2 - 25 + 0*o. What is the tens digit of k(15)?\n' | b'2\n' |
b'Express -305*q**2 + 176 - 176 + (-3*q + 0*q + 2*q)*(-q - 2*q + 2*q) in the form r*q**2 + h*q + m and give r.\n' | b'-304\n' |
b'Let q be (9/(-4))/(6/(-408)). Let o be ((-4)/(-3) + 0)/(3/q). Suppose o*h - 73*h = -720. Is 16 a factor of h?\n' | b'True\n' |
b'Suppose -136*d + 933 - 494 + 785 = 0. Suppose 3*v + 8 = -5*z, -3*z + 6 = -v - 8*z. Let k = v + 1. Solve -3*g = -k*g - d for g.\n' | b'3\n' |
b'Rearrange 3*p + 2 - 2 + (-4 + 3 + 0)*(-4 - 2*p + 4) + 0*p + 0*p - p + (-65 - 90*p + 10*p + 77*p)*(4 + 0 - 3) to the form h*p + o and give o.\n' | b'-65\n' |
b'Let c be 1*(-13 + 1)/(-132) + (-1)/11. Solve 0 = -5*f - 2*b - 15, c = f - 2*b - 2*b + 25 for f.\n' | b'-5\n' |
b'Expand (1 - 1 + 1)*(1 + 3*r**2 - 1) + 3*r**2 - r**2 - 5*r**2 + r**2 + 0*r**2 - 2*r**2 + (1 + 2*r - 1)*(r - 2*r - r) + 4*r**2 - 3*r**2 + r**2.\n' | b'-3*r**2\n' |
b'Suppose 0 = -2*t + 4*d + 126 + 140, 5*t + 2*d - 677 = 0. Let v = t - 102. What is the tens digit of v?\n' | b'3\n' |
b'Simplify (v*v**7*v**(-2)*v**9*v/(v**(-2/19)*v))**(2/21) assuming v is positive.\n' | b'v**(82/57)\n' |
b'What comes next: 92203, 92198, 92199, 92206, 92219, 92238?\n' | b'92263\n' |
b'What is the thousands digit of 85704776?\n' | b'4\n' |
b'Simplify ((1 + sqrt(44))*-6 + 5 - (3 + ((-2 + sqrt(1584))**2 - sqrt(1584)) + -5))*-2.\n' | b'-96*sqrt(11) + 3174\n' |
b'What is the value of 3/((30/80)/(39/48))?\n' | b'13/2\n' |
b'Calculate -384 divided by 8.\n' | b'-48\n' |
b'Let f be (18/1)/(9/(-6)). Let c be (-2 + (-16)/f)*-6. Let b be (3 - (0 + c)) + 1/(-2). Which is smaller: -1/4 or b?\n' | b'b\n' |
b'Let t = -119 - -139. Let p(r) = r**3 + 4*r**2 + 4*r + 2. Let d be p(-2). Suppose 2*w = 3*q - 12, 3*q + d*q + 2*w - t = 0. Which is bigger: 9/2 or q?\n' | b'9/2\n' |
b'Calculate prob of sequence kkt when three letters picked without replacement from ttttktttktttttkt.\n' | b'13/560\n' |
b'Solve 3*l = 3*z - 12, 20 + 0 = -5*l - 5*z for l.\n' | b'-4\n' |
b'Express 412 + 394 + 9331*u - 9328*u in the form n + r*u and give r.\n' | b'3\n' |
b'Let v = -4.6 - -4.88. Let w = -0.2 - v. Let t = w + 1.08. What is t rounded to zero decimal places?\n' | b'1\n' |
b'Suppose -4*h + 14794 = 2*g - 24462, g = 2. What are the prime factors of h?\n' | b'3, 3271\n' |
b'In base 8, what is 24720 + -2457?\n' | b'22241\n' |
b'(7/(-84))/((-136)/(99008/(-819)))\n' | b'-2/27\n' |
b'Sort -1, -36, 41, 5, -4, -5 in ascending order.\n' | b'-36, -5, -4, -1, 5, 41\n' |
b'What is the common denominator of 95/712 and 101/2136?\n' | b'2136\n' |
b'What is the units digit of 5894282?\n' | b'2\n' |
b'How many minutes are there between 7:07 AM and 11:57 AM?\n' | b'290\n' |
b'In base 9, what is 5 + -6166708?\n' | b'-6166703\n' |
b'Calculate the remainder when 156444 is divided by 180.\n' | b'24\n' |
b'What is 315070 (base 8) in base 3?\n' | b'12100001111\n' |
b'Solve -52669 = 214*r - 42397 for r.\n' | b'-48\n' |
b"What is the t'th term of 11841027, 11841021, 11841011, 11840997, 11840979, 11840957, 11840931?\n" | b'-2*t**2 + 11841029\n' |
b'Solve 0 = -718637*u + 718663*u + 78 for u.\n' | b'-3\n' |
b'-900a1 (base 13) to base 9\n' | b'-431705\n' |
b'What is next in -3555, -3584, -3627, -3690, -3779, -3900, -4059, -4262?\n' | b'-4515\n' |
b'How many nanometers are there in 80.17875 meters?\n' | b'80178750000\n' |
b'In base 4, what is -120203220 - -331?\n' | b'-120202223\n' |
b'Differentiate 81*h**3*j - 141*h**3 - 2*h wrt j.\n' | b'81*h**3\n' |
b'Collect the terms in 23530 - 5257 + 3*p**2 - 18284.\n' | b'3*p**2 - 11\n' |
b'What is -204331 (base 5) in base 15?\n' | b'-2061\n' |
b'Let y(r) = -r**3 + 16*r**2 - 2*r + 29. Let j be y(16). Let g be ((-24)/(-28) + 0)*(-987)/j. What are the prime factors of (1/2)/(1/g)?\n' | b'3, 47\n' |
b'Let z be (-4)/(-3) + 4768/24. Let x = z + 2. What is the tens digit of x?\n' | b'0\n' |
b'What is 0.05027331 rounded to 5 dps?\n' | b'0.05027\n' |
b'What is 226 minutes after 5:16 AM?\n' | b'9:02 AM\n' |
b'Let q be 14/(-18) - (-1 + 0). Let d be 20 - 1 - (14 + 6). Which is the nearest to 0? (a) -2 (b) q (c) d\n' | b'b\n' |
b'Let w(s) = s**2 + 1. Let f be w(-2). Suppose -f*q + 207 = -123. What is the remainder when (4/1)/(12/q) is divided by 12?\n' | b'10\n' |
b'How many minutes are there in 1/20 of a day?\n' | b'72\n' |
b'Calculate the greatest common divisor of 1443 and 19533891.\n' | b'1443\n' |
b'Factor -f**3/3 + 179*f**2 - 12800*f/3.\n' | b'-f*(f - 512)*(f - 25)/3\n' |
b'Suppose -5*z + 2*z = -4*a + 8, 4*z - 1 = 3*a. Let -11*f**2 + z*f**2 + 6*f**5 - 2*f**4 - 16*f**3 - f**2 = 0. What is f?\n' | b'-1, -2/3, 0, 2\n' |
b'Suppose 5*c = -0*c + 2*c. Let w(d) be the first derivative of c*d**2 - 8*d + 0*d**4 + 0*d**3 - 6/5*d**5 - 7. What is the derivative of w(x) wrt x?\n' | b'-24*x**3\n' |
b'What is 92823030 to the power of 1/5, to the nearest integer?\n' | b'39\n' |
b'Suppose 74*l = -242602 + 38510. Is -2760 greater than l?\n' | b'False\n' |
b'Simplify ((l**(2/5)*l)/((l/(l*l/((l**(1/7)*l)/l))*l)/l)*l**(-21))/((l/(l*l**(-4/3)*l))/l**(2/5)*l**(1/37)) assuming l is positive.\n' | b'l**(-72662/3885)\n' |
b'Suppose x - 5*p - 271 = 0, -5*p = 21 + 4. Let r = x + -243. Solve 2*c + u + 10 = 0, r*u = 2*c - 3 - 3 for c.\n' | b'-3\n' |
b'Suppose 20 = -4*b + 4. Suppose 5*u + 9 = 8*u. Calculate the common denominator of 73/3 and b/6 - u/(-27).\n' | b'9\n' |
b'Let n = 1.53 + -6.63. Let l = n - -4.9. Which is the closest to 2/5? (a) -2/9 (b) 2/17 (c) l\n' | b'b\n' |
b'Solve 0 = 245*y + 5744 + 2096 for y.\n' | b'-32\n' |
b'Expand -w**2 + w - w + (-6 + 6 + 2*w)*(0 + w + 0) - 101122*w + 101122*w - 555*w**2 + (5*w - w - 3*w)*(-w + 3*w - 4*w).\n' | b'-556*w**2\n' |
b'Suppose 0 = 4*p - y + 3 - 20, -y = 1. Sort 1/12, -2/5, -0.09, p in descending order.\n' | b'p, 1/12, -0.09, -2/5\n' |
b'Let a(y) = -5*y**3 - 2*y**2 + 2*y - 1. Let p be 2/6 + (-57)/9. Let l be (-2 - (0 + p)) + -3. Determine a(l).\n' | b'-6\n' |
b'Expand -5 + 6*m - 4*m + 2 + (-2*m + 0*m + m)*(0 + 2 - 3) - 2*m - 2*m + 2*m.\n' | b'm - 3\n' |
b'Two letters picked without replacement from cqcqiicqmcqiicncqic. What is prob of sequence nq?\n' | b'5/342\n' |
b'Express (-d**2 + 5*d - 5*d)*(2 - 4 + 0)*((2 + 3 - 3)*(-1 + 7 + 0) - 91 - 43 - 13) as r + i*d**2 + s*d and give i.\n' | b'-270\n' |
b'What is -1385572.17 rounded to the nearest one hundred thousand?\n' | b'-1400000\n' |
b'((-2)/(-14))/(134/(-670))\n' | b'-5/7\n' |
b'Let r = 20 + -34. Let a be (12/r)/((-3)/21). Solve 9 = -3*j - a for j.\n' | b'-5\n' |
b'Which is the fifth biggest value? (a) 13/5 (b) -0.06 (c) -5 (d) 0.5 (e) 0.02\n' | b'c\n' |
b'Which is the fourth biggest value? (a) -0.4 (b) -1 (c) -0.5 (d) 0.7 (e) -51 (f) -2/217\n' | b'c\n' |
b'Let b be 1/(-24)*-172 - 7. Let z = -0.06 + 2.06. Let d = z - 2. Put b, d, -0.5 in increasing order.\n' | b'-0.5, d, b\n' |
b'What is the third derivative of 10627984*n**3 - 2032451*n**2 wrt n?\n' | b'63767904\n' |
b'Let g(c) = 2*c**2 - 10*c - 6. Let t(q) = -2*q**2 - 14*q - 4. Suppose 0 = -5*y - 14 - 16. Let w be t(y). Is g(w) a multiple of 15?\n' | b'False\n' |
b'Which is smaller: -675901 or -0.3?\n' | b'-675901\n' |
b'What is fifty-eight fifths of a millisecond in microseconds?\n' | b'11600\n' |
b'Simplify (y*y**0*y/(y/((y**(3/10)/y*y)/y))*y**(-18)/y**(-1/6))**(1/55) assuming y is positive.\n' | b'y**(-263/825)\n' |
b'Suppose 5*f + 98 = 138. Let o = 178 - f. What are the prime factors of o?\n' | b'2, 5, 17\n' |
b'Put -3, 93, 9, 8, 5 in descending order.\n' | b'93, 9, 8, 5, -3\n' |
b'Is 1257122177 a composite number?\n' | b'False\n' |
b'Let x = -192 - -195. Let i(h) = 106*h + 48. List the prime factors of i(x).\n' | b'2, 3, 61\n' |
b'Let l = 0.987 + -0.986995385. What is l rounded to six dps?\n' | b'0.000005\n' |
b'What is the remainder when 724139 is divided by 34482?\n' | b'17\n' |
b'Let z = 25460 - 17232. List the prime factors of z.\n' | b'2, 11, 17\n' |
b'Let r = -25 + 28. Suppose -r*i - 4509 = 351. Round i to the nearest 100.\n' | b'-1600\n' |
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