instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -2*s + 14 = 4*u, s - 17 + 14 = -u. Let w be (((-108)/16)/9)/(u/(-64)). Solve 0 = 3*t + t + w, 3*b + 12 = -5*t for b.\n | 1\n | ibivibiv/math_instruct | |
Calculate -11 divided by -785.\n | 11/785\n | ibivibiv/math_instruct | |
Let d = 51.67 + 3.33. Let k = -147 + 152. Which is the second smallest value? (a) k (b) d (c) -4/3\n | a\n | ibivibiv/math_instruct | |
Find the common denominator of -103/5128812 and -97/8992.\n | 41030496\n | ibivibiv/math_instruct | |
Simplify ((-3*-3*sqrt(405))/sqrt(9))**2 + -4.\n | 3641\n | ibivibiv/math_instruct | |
Determine p so that 3*p**4 - 9477*p**3 + 9185400*p**2 - 2509582500*p = 0.\n | 0, 459, 1350\n | ibivibiv/math_instruct | |
What is -14.5948521 rounded to the nearest integer?\n | -15\n | ibivibiv/math_instruct | |
Suppose 22*x = 26*x + 4. Suppose -162 = -12*o + 6*o. Suppose 26*n + 1 = o*n. What is the closest to n in 8, 0.1, x?\n | 0.1\n | ibivibiv/math_instruct | |
Let m(s) be the second derivative of s**5/4 - 5*s**3/2 + 5*s**2 - 4*s - 2. Solve m(k) = 0 for k.\n | -2, 1\n | ibivibiv/math_instruct | |
What is the value of 3/(-2)*((-28)/(-51))/(-7)?\n | 2/17\n | ibivibiv/math_instruct | |
Let q(o) = -3*o**3 - o**2 - o - 1. Let f be q(-1). Differentiate -3*j**4 + 4 - 3 + 4*j**4 + f wrt j.\n | 4*j**3\n | ibivibiv/math_instruct | |
Which is the seventh biggest value? (a) 1 (b) 0.5 (c) 3/7 (d) 1/5 (e) -4 (f) -0.4 (g) -27.2486\n | g\n | ibivibiv/math_instruct | |
What is -102846 rounded to the nearest 100?\n | -102800\n | ibivibiv/math_instruct | |
Does 6 divide 28?\n | False\n | ibivibiv/math_instruct | |
Which is the nearest to 1/5? (a) 0.5 (b) -5 (c) 0.1 (d) -2/3\n | c\n | ibivibiv/math_instruct | |
Simplify ((1*sqrt(99)*1 - sqrt(99)) + 5 - (-2*1*sqrt(99) + 5*(sqrt(99) + 2*sqrt(99))))**2.\n | -390*sqrt(11) + 16756\n | ibivibiv/math_instruct | |
Let h(l) = l. Let n(w) = 18*w. Calculate 72*h(p) - 3*n(p).\n | 18*p\n | ibivibiv/math_instruct | |
Suppose -3*t - 2*p = -4*p - 22, -t - 2*p + 2 = 0. Let g(l) = 2*l - 9. Let c be g(6). Solve z + c = t for z.\n | 3\n | ibivibiv/math_instruct | |
Given a triangle with an area of T, the midpoints of its sides are connected to form a new triangle with an area of M. What is the ratio of M to T, expressed as a common fraction? | Connecting the midpoints of the sides of a triangle forms the medial triangle, which is similar to the original triangle.
The ratio of corresponding lengths in similar triangles is equal to the ratio of their areas.
Since the medians of a triangle divide each other into segments with a ratio of 2:1,
the ratio of the ar... | ibivibiv/math_instruct | |
What is 532563.5 kilometers in meters?\n | 532563500\n | ibivibiv/math_instruct | |
Solve -30 = 195*u + 192*u - 382*u, -108 - 7 = 63*t - 5*u + 170 for t.\n | -5\n | ibivibiv/math_instruct | |
Let t(o) = 402043*o + 19. Let a be t(9). Let w = a - 2518409. Let r be 5 + -3 + (w - -1). Round r to the nearest 1000000.\n | 1000000\n | ibivibiv/math_instruct | |
Simplify ((-1 + sqrt(2) + -5 + -4)**2 - 5*(sqrt(2) - -2*sqrt(200))) + (sqrt(16)/(sqrt(24)/sqrt(3)) - sqrt(22)/(sqrt(11) + sqrt(22)/sqrt(2) + sqrt(11)))*-1.\n | -377*sqrt(2)/3 + 102\n | ibivibiv/math_instruct | |
Suppose -b - 4*b - x = 41, 2*b - 3*x = -13. Let h be b/(-5) + (36/(-15))/4. Solve 3*y = 4*j - 2 - 4, 5*y = 3*j + h for j.\n | 3\n | ibivibiv/math_instruct | |
Let k(l) = 4*l**2 - 6*l + 7. What is the units digit of k(2)?\n | 1\n | ibivibiv/math_instruct | |
Let m = 0.11 + -2.11. Sort 0.4, m, -12.\n | -12, m, 0.4\n | ibivibiv/math_instruct | |
How many minutes are there between 9:41 AM and 7:29 PM?\n | 588\n | ibivibiv/math_instruct | |
What is -0.0000153876 rounded to seven dps?\n | -0.0000154\n | ibivibiv/math_instruct | |
Let z = 75.94 + 0.06. Let g = z + -57. Let d = g - 7. Is -2/3 < d?\n | True\n | ibivibiv/math_instruct | |
Let w(x) = -x**2 + 23*x + 40. Let r be w(15). What is the greatest common divisor of r and 15?\n | 5\n | ibivibiv/math_instruct | |
What is the difference between -21 and -1839942?\n | 1839921\n | ibivibiv/math_instruct | |
What is 21/2 of a tonne in kilograms?\n | 10500\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {q: 1, v: 5, c: 1, p: 4}. Give prob of sequence qv.\n | 1/22\n | ibivibiv/math_instruct | |
Let z = 84/5 + -843/35. Calculate the common denominator of z and 1/(-16)*(-106)/(-1).\n | 56\n | ibivibiv/math_instruct | |
Suppose -5*d + 22 = -3*p + p, 0 = d - 2*p - 6. What is the greatest common factor of 4 and d?\n | 4\n | ibivibiv/math_instruct | |
Let b = 41/494 + -9/38. Let o = 1786/2835 - 17/567. What is the third biggest value in -1/2, b, o, 0.03?\n | b\n | ibivibiv/math_instruct | |
Solve 2*j + 60 = -2*f, 0*f - f - 445*j + 90 = -4*f - 440*j for f.\n | -30\n | ibivibiv/math_instruct | |
Expand (-75*g - 37*g + 42*g)*(2*g - 3*g + 10*g)*(1 - 1 - g).\n | 630*g**3\n | ibivibiv/math_instruct | |
Suppose -15 = -c - a, 0 = 3*c - 2*a + a - 61. Suppose -n + 3 = -4*b + c, n = 0. Suppose -4*v = b*l - 664, 3*v + l - 473 = 3*l. Is v composite?\n | True\n | ibivibiv/math_instruct | |
What comes next: 1716, 1874, 2028, 2178, 2324?\n | 2466\n | ibivibiv/math_instruct | |
Let t(q) = 41993*q - 21. Let r(b) = -5*b**2 + b + 1. Let c be r(1). Let a be t(c). What is a rounded to the nearest ten thousand?\n | -130000\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {x: 4, i: 3, q: 4, t: 1, e: 5, g: 3}. What is prob of sequence xqt?\n | 2/855\n | ibivibiv/math_instruct | |
-16308 - 42\n | -16350\n | ibivibiv/math_instruct | |
Let k be (-2 + 5)*3/4*944/531. Solve -o + 19 = x + 12, -k*x - 2*o = -22 for x.\n | 4\n | ibivibiv/math_instruct | |
Simplify sqrt(48) + 0 + sqrt(48) + 3 - (sqrt(6)/(sqrt(6)/sqrt(3)) - ((sqrt(243)*-2)**2 - sqrt(3))).\n | 6*sqrt(3) + 975\n | ibivibiv/math_instruct | |
Three letters picked without replacement from mmmmm. What is prob of sequence mmm?\n | 1\n | ibivibiv/math_instruct | |
Differentiate 222*x*y**3 - 2*y**3 - 1222 wrt x.\n | 222*y**3\n | ibivibiv/math_instruct | |
Let c = 15.7642906 - 104.7642975. Let y = -89 - c. Round y to six dps.\n | 0.000007\n | ibivibiv/math_instruct | |
What is the units digit of 99938?\n | 8\n | ibivibiv/math_instruct | |
Let l(b) = 11*b**2 + 94*b + 16. Calculate l(-8).\n | -32\n | ibivibiv/math_instruct | |
What is the tens digit of 1043?\n | 4\n | ibivibiv/math_instruct | |
What is the nearest to 0.1 in 3/5, -2, 4?\n | 3/5\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {a: 3, s: 2, q: 1, t: 6, x: 1, v: 2}. Give prob of sequence xt.\n | 1/35\n | ibivibiv/math_instruct | |
What is -0.02 minus -42789566?\n | 42789565.98\n | ibivibiv/math_instruct | |
Solve 0 = -9*k - 10*k for k.\n | 0\n | ibivibiv/math_instruct | |
Find the second derivative of 13499*i*p**2 - i*p - 56516*i + p**2 wrt p.\n | 26998*i + 2\n | ibivibiv/math_instruct | |
b"What is the nth term of -101, -411, -925, -1649, -2589, -3751, -5141?\n" | -n**3 - 96*n**2 - 15*n + 11\n | ibivibiv/math_instruct | |
How many minutes are there between 11:35 AM and 10:51 PM?\n | 676\n | ibivibiv/math_instruct | |
Solve -4*c + 38*p + 13 = 30*p + 5*p, 0 = -c + 5*p - 1 for c.\n | 4\n | ibivibiv/math_instruct | |
Let h be (-3)/(-8)*((-160)/(-48))/(-5). Which is the second smallest value? (a) 120/17 (b) h (c) 1\n | c\n | ibivibiv/math_instruct | |
How many months are there in one tenth of a century?\n | 120\n | ibivibiv/math_instruct | |
Let n(h) = 245*h - 13*h - 241*h. Let g(r) = -8*r - 1. What is 2*g(b) - 3*n(b)?\n | 11*b - 2\n | ibivibiv/math_instruct | |
What is the nearest to 2 in -3/4, 0, -0.002, 0.5?\n | 0.5\n | ibivibiv/math_instruct | |
Calculate the remainder when 802 is divided by 12.\n | 10\n | ibivibiv/math_instruct | |
Suppose -2*g + 10 - 2 = 0. Suppose -g*p - 4 + 152 = 0. Suppose 4*v - p = 11. What is the tens digit of v?\n | 1\n | ibivibiv/math_instruct | |
4a5 (base 14) to base 3\n | 1021102\n | ibivibiv/math_instruct | |
Is 964 a factor of 8468704?\n | False\n | ibivibiv/math_instruct | |
Let u = 56 - 38. What is the remainder when u is divided by 69/15 - (-6)/15?\n | 3\n | ibivibiv/math_instruct | |
What is 0.3647145 milliseconds in nanoseconds?\n | 364714.5\n | ibivibiv/math_instruct | |
What is 12952180 times -0.5?\n | -6476090\n | ibivibiv/math_instruct | |
Simplify (((w/w**(-1/6))/w**4)/(w*(w/(w/((w*w/w**(-2/7))/w))*w)/w*(w/w**2)/w))/((w/w**(-2/7)*w)/w**14)**(1/9) assuming w is positive.\n | w**(-229/126)\n | ibivibiv/math_instruct | |
What is the second derivative of 909*r**2 - 1033*r wrt r?\n | 1818\n | ibivibiv/math_instruct | |
-1 (base 9) to base 13\n | -1\n | ibivibiv/math_instruct | |
How many months are there in seven eighths of a century?\n | 1050\n | ibivibiv/math_instruct | |
b"What is the qth term of -68, -71, -86, -119, -176?\n" | -q**3 + 4*q - 71\n | ibivibiv/math_instruct | |
Calculate 25/30*(-7)/((-280)/12).\n | 1/4\n | ibivibiv/math_instruct | |
Put 0.179, -0.4, -84, 8 in descending order.\n | 8, 0.179, -0.4, -84\n | ibivibiv/math_instruct | |
Let g(z) = 9*z**2 - 10*z**2 + 1 + 3 + 2. Let r(u) = -1. Let s(j) = g(j) + 6*r(j). Let l(k) = 16*k. Determine s(l(h)).\n | -256*h**2\n | ibivibiv/math_instruct | |
Evaluate 3*(-2)/(-8)*-4.\n | -3\n | ibivibiv/math_instruct | |
Let k(w) = -520*w - 9845. What is the remainder when 335 is divided by k(-19)?\n | 20\n | ibivibiv/math_instruct | |
Let t(f) = f**3 + 29*f**2 + 14*f + 81. Determine t(-30).\n | -1239\n | ibivibiv/math_instruct | |
What is the fourth root of 1879 to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Suppose 3*t - 15 = -2*t. Let b(l) = 1 + 6*l - 7*l**2 + 0*l**2 - 5*l - 2*l - l**t. Determine b(-7).\n | 8\n | ibivibiv/math_instruct | |
Collect the terms in -39*h**3 - 20*h**3 + 56*h**3.\n | -3*h**3\n | ibivibiv/math_instruct | |
Differentiate 3*l*w*y + 5*l*w + 242*l*y + 6715*l + 593*w*y - 49*y + 22 with respect to y.\n | 3*l*w + 242*l + 593*w - 49\n | ibivibiv/math_instruct | |
Let c(y) be the second derivative of -y**3 + 3*y**2 - 15*y. What is the derivative of c(w) wrt w?\n | -6\n | ibivibiv/math_instruct | |
Round 509597 to the nearest 100000.\n | 500000\n | ibivibiv/math_instruct | |
-31a (base 16) to base 3\n | -1002102\n | ibivibiv/math_instruct | |
What is the value of (((-12)/14)/(-2))/((-1)/7)?\n | -3\n | ibivibiv/math_instruct | |
In base 5, what is -2 + 3133441431?\n | 3133441424\n | ibivibiv/math_instruct | |
b"What is the xth term of -22227, -22224, -22219, -22212, -22203?\n" | x**2 - 22228\n | ibivibiv/math_instruct | |
Collect the terms in -8125095*y + 16250851*y - 2*y**2 - 8125756*y.\n | -2*y**2\n | ibivibiv/math_instruct | |
Expand (-687 + 353 + 259)*(-40*x + 0 + 8 - 8 + 4*x).\n | 2700*x\n | ibivibiv/math_instruct | |
Simplify (4 + (sqrt(560)*6)/(sqrt(112)*1) + ((1*sqrt(60) - sqrt(60))/sqrt(2))/(sqrt(6) - (sqrt(6) - sqrt(726)*-2)))**2.\n | 48*sqrt(5) + 196\n | ibivibiv/math_instruct | |
Factor -12*f**2 - 25352*f + 8452.\n | -4*(f + 2113)*(3*f - 1)\n | ibivibiv/math_instruct | |
Suppose -4*d - 2*d = -312. Suppose w + 3*l = -1, -5*l = -4*w + d + 29. Find the first derivative of w - 3 + 9*v**3 - 3 + 3 wrt v.\n | 27*v**2\n | ibivibiv/math_instruct | |
Does 1134 divide 17728848?\n | False\n | ibivibiv/math_instruct | |
How many micrograms are there in thirty-seven fifths of a milligram?\n | 7400\n | ibivibiv/math_instruct | |
Sort -87, 2, 1.96 in descending order.\n | 2, 1.96, -87\n | ibivibiv/math_instruct | |
Put 0.4, -328, 5 in increasing order.\n | -328, 0.4, 5\n | ibivibiv/math_instruct |
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