text stringlengths 270 8.19k | meta dict |
|---|---|
l(0).
-242
Let b(f) = -5*f**2 + 74*f - 31. Calculate b(14).
25
Let a(b) = b**2 + 17*b - 625. Determine a(18).
5
Let c(d) = d**2 + 543*d + 3752. Give c(-7).
0
Let z(q) = -q**3 + 21*q**2 - 55*q + 303. Calculate z(19).
-20
Let t(n) = 4*n + 112. What is t(-13)?
60
Let a(v) = -v**3 + 13*v**2 - 24*v - 8. Calculate a(10).
52
... | {
"pile_set_name": "DM Mathematics"
} |
is the remainder when o is divided by 16?
12
Suppose -4*w - 6*t + 5580 = 0, -2786 = 28*w - 30*w - t. What is the remainder when w is divided by 17?
15
Suppose -3*c + 12*c - 348 = 7*c. What is the remainder when 316 is divided by c?
142
Let c = 2254 - 1941. Calculate the remainder when c is divided by 90.
43
Let s(l) =... | {
"pile_set_name": "DM Mathematics"
} |
8*q**2 - 2 wrt d.
30485116*q**2
What is the first derivative of 3*d**2*x + 56003187*d**2 + 699318*d*x - 3*x wrt x?
3*d**2 + 699318*d - 3
Differentiate -15*x**3 + 120784*x**2 + 6413893 with respect to x.
-45*x**2 + 241568*x
Differentiate 63*u*z - 646290*u + 33721*z + 4983 wrt u.
63*z - 646290
Find the third derivative o... | {
"pile_set_name": "DM Mathematics"
} |
(-2/13) assuming i is positive.
i**(-11329/354)
Simplify ((a/(a**(-5)*a*a))/a**(4/9))**4*(a*a*a*a**(-1/12))/(a*a*a**(-8))*(a**0)**(-1/33) assuming a is positive.
a**(833/36)
Simplify (u**6*u**(-3/4)*u*((u**(-1/3)/u)/u)/u**(-7))/((u**(-1)*u)**(-2/15)/(((u/u**6)/u)/(u**0/u))) assuming u is positive.
u**(71/12)
Simplify (... | {
"pile_set_name": "DM Mathematics"
} |
in 2/3, 48, -0.07?
-0.07
Which is the closest to 1493? (a) 39 (b) 4 (c) -2/5
a
What is the closest to -1/2 in 2/3, 4, -70, 1662?
2/3
What is the closest to 1 in 17, -0.32, 1, 1/3?
1
Which is the closest to 3/695? (a) 3 (b) 36 (c) -3
a
What is the nearest to 0.059 in 0.5, -8, -0.3?
-0.3
Which is the closest to 8?... | {
"pile_set_name": "DM Mathematics"
} |
without replacement from {e: 3, s: 15}.
5/34
Calculate prob of sequence lmen when four letters picked without replacement from eeennelmelennzel.
1/520
Three letters picked without replacement from {y: 9, f: 2, j: 6}. What is prob of sequence yjf?
9/340
What is prob of sequence ee when two letters picked without replace... | {
"pile_set_name": "DM Mathematics"
} |
hat is (6 - 1) + -181 + 199 - 12?
11
0 + 0 + -2 - (-74 + -76 + 160)
-12
Evaluate -13 + -2 + 74 + -69.
-10
-11 - (-5 + (19 - 22) - 12)
9
Calculate -20 - (-10 - (-22 + (-8 - -3 - -12))).
-25
Evaluate 11 + -1 + 2 + -21 + (-22 - -45).
14
Calculate 2 + -2 + 3 - ((-20 - -6) + 14).
3
What is the value of -4 - (0 - 15 - (179 -... | {
"pile_set_name": "DM Mathematics"
} |
= -3*u + 2. What is the second derivative of -5 + 5 + 2*y**l - y wrt y?
24*y**2
Let n = -10 - -12. Find the second derivative of -2*z**2 + z + 2*z**2 - z**n + 0*z**2 wrt z.
-2
Let g(w) be the second derivative of 9*w**8/56 + w**6/6 - 5*w**4/3 - 21*w. Find the third derivative of g(u) wrt u.
1080*u**3 + 120*u
Let p(n) ... | {
"pile_set_name": "DM Mathematics"
} |
Let v(x) be the third derivative of x**5/20 - x**4/6 + x**3/6 + 41*x**2. Let h(c) = -5*l(c) - 3*v(c). Let h(p) = 0. What is p?
-3, 1
Solve 102 - 23*j**2 + 8*j**2 - 53 - 64 + 50*j = 0 for j.
1/3, 3
Let s(v) be the third derivative of v**8/60480 + v**7/1890 + v**6/135 + 17*v**5/60 + 15*v**2. Let a(z) be the third deriva... | {
"pile_set_name": "DM Mathematics"
} |
, 2*u - 2*a = 180. Let b be 28/21 + u/(-6). Which is smaller: b or -13?
b
Suppose 9*k - 2 = -2. Suppose -12*f + 4*f + 8 = k. Which is smaller: 6/11 or f?
6/11
Let u(s) = -s**3 + 5*s**2 - 12*s + 12. Let r be u(4). Is -15 less than r?
False
Let n be ((-1)/(-20))/((-12)/(-45) + (-2)/9). Suppose q + 0 = 1. Which is bigger:... | {
"pile_set_name": "DM Mathematics"
} |
oot of 58183 to the nearest integer?
39
What is the third root of 5291 to the nearest integer?
17
What is 9682 to the power of 1/3, to the nearest integer?
21
What is the eighth root of 4577 to the nearest integer?
3
What is 3168 to the power of 1/2, to the nearest integer?
56
What is 510 to the power of 1/3, to the ne... | {
"pile_set_name": "DM Mathematics"
} |
+ 10. Let t = -2/5 - -2/3. Which is greater: t or h?
t
Let a = 6488786/79715 + 3/15943. Let f = -82 + a. Let r be 18/(-14) - (-6)/21. Which is smaller: f or r?
r
Suppose 0 = -50*c - 50 - 50. Is c at most as big as -1.1?
True
Let d(q) = -q**3 + 7*q**2 - 8*q + 11. Let x be d(6). Let k be x/4 - 148/(-48). Let g be (-4 - 1... | {
"pile_set_name": "DM Mathematics"
} |
it of 8767?
6
What is the units digit of 3658?
8
What is the tens digit of 3404?
0
What is the hundreds digit of 443?
4
What is the units digit of 52609?
9
What is the units digit of 72?
2
What is the tens digit of 5759?
5
What is the tens digit of 182?
8
What is the hundreds digit of 1274?
2
What is the hundreds digit... | {
"pile_set_name": "DM Mathematics"
} |
e (11/2 + (-12)/24)/(30/60).
10
Evaluate ((-6 - -2)*(-6)/12)/((-38)/(-4)).
4/19
Evaluate ((-23892)/(-3620))/(6/20).
22
Calculate (33/(-396))/((-309)/(-156) - 2).
13/3
Calculate ((-15)/105)/(3/(-4) - -1).
-4/7
Evaluate (-11417)/1029 - (-8)/84.
-11
39 - 3380/100 - (2/(-1) - -10)
-14/5
Evaluate (15 - 5)/(96/72*9/(-6)).
-5... | {
"pile_set_name": "DM Mathematics"
} |
**2 + 0*m**7 + 0*m**6. What is the third derivative of g(q) wrt q?
60*q**2
Let c be -2 - (-12)/(6/3). Let y = 0 + c. Find the first derivative of y*x**2 - 5 - 5*x**2 + 4 wrt x.
-2*x
Find the third derivative of -202*f**5 + 17*f**2 + 180*f**5 + 18*f**2 wrt f.
-1320*f**2
Let i(o) be the first derivative of -22*o**3/3 + 3... | {
"pile_set_name": "DM Mathematics"
} |
, j: 1, y: 1, x: 1}.
1/28
What is prob of picking 1 j and 3 k when four letters picked without replacement from ddkkkjjjjkjmj?
24/715
Three letters picked without replacement from {k: 2, x: 5, d: 1, b: 3, z: 8, t: 1}. What is prob of picking 1 z, 1 t, and 1 b?
2/95
Two letters picked without replacement from xcyccysycc... | {
"pile_set_name": "DM Mathematics"
} |
e n(r(h)).
13225*h**4
Let j(y) = y**2 + 8*y + 3. Let k be j(-8). Let x(z) = -1070 + 1070 - k*z**2 + 7*z. Let b(p) = p. Calculate x(b(l)).
-3*l**2 + 7*l
Let g(x) = -3541*x. Let v(h) = 3*h**2. Calculate g(v(i)).
-10623*i**2
Let i(s) = -2900*s**2. Let q(o) = 6*o. Give i(q(h)).
-104400*h**2
Let u(o) = -4*o**2. Let g(n) = -... | {
"pile_set_name": "DM Mathematics"
} |
e value of (-1 + (-19 - -27) + -18 - -46) + 6 + 0?
41
Calculate 36 + 5 + -9 - (908 - 998).
122
Evaluate 1 + (3 - -3) + (-1186 - -1101).
-78
What is -9 - ((11 - -8) + -23) - -8?
3
What is (2808 - 2793) + -1 + 13 - -61?
88
2 + (-9 - -57) - (17 - 2)
35
What is (165 - 121) + -18 + 2 + 1?
29
-527 + 515 - (-52 - (-6 - -3))
3... | {
"pile_set_name": "DM Mathematics"
} |
1}?
1/10
Three letters picked without replacement from vxvkrrxororrii. Give prob of picking 1 i, 1 x, and 1 o.
2/91
Three letters picked without replacement from hxxhx. What is prob of picking 1 x and 2 h?
3/10
What is prob of picking 1 w, 1 l, 1 z, and 1 q when four letters picked without replacement from {r: 2, z: 1... | {
"pile_set_name": "DM Mathematics"
} |
- sqrt(612)) + 0)))*-1)**2.
612
Simplify -5*-2*((5 + (sqrt(5) - sqrt(5)*1) + sqrt(5) + 3)**2 + -3 + -2).
160*sqrt(5) + 640
Simplify ((1*sqrt(880))/(sqrt(10)/(sqrt(4)/sqrt(2))) - (((-1 + sqrt(11))*2 - sqrt(132)/(sqrt(12)*1)) + 1))**2.
6*sqrt(11) + 100
Simplify (sqrt(156) + -3*(sqrt(156)*-4 - sqrt(156)))/(sqrt(12)*2*-3)... | {
"pile_set_name": "DM Mathematics"
} |
ming r is positive.
r**(-11189/90)
Simplify (((m*m*m**(1/2))/m)/m**(-4/5))**(4/19)*(m**(-3/5)*m**(-3/5))/((m/m**(-1/2))/m**(1/4)) assuming m is positive.
m**(-747/380)
Simplify ((h/h**4)/h**(-4/7)*(h**(1/4)/h)**12)/(((h/h**4)/h)/h*h*h**(-2/7))**(2/63) assuming h is positive.
h**(-1660/147)
Simplify ((p/p**(-4/13)*p/(p*... | {
"pile_set_name": "DM Mathematics"
} |
-3*t + 3*o, -3122*t = -3149*t - 4*o - 54 for t.
-2
Solve -332054*r + 2*h = -332059*r - 105, -2*h = -3*r + h - 42 for r.
-19
Solve 2262*u - 2259*u + 3*y - 3 = 0, -6*u = -4*y - 16 for u.
2
Solve -101 = 12*n + 8*b - 13, -7*n - 2*b = -3*n + 20 for n.
2
Solve 5*v = -2*w - 3, -4*v + 6*w + 1 + 7 = 18 for v.
-1
Solve 5*r - 37*... | {
"pile_set_name": "DM Mathematics"
} |
5 - 6427*z - 40.
-20652180*z**3
Differentiate -3*b**3 + 15469*b**2 + 278014 with respect to b.
-9*b**2 + 30938*b
What is the second derivative of 15333*i**4 + 51*i**2 + 57550*i + 12 wrt i?
183996*i**2 + 102
What is the third derivative of -2*d**5 + 335*d**4 - 26*d**3 + d**2 + 45*d - 774 wrt d?
-120*d**2 + 8040*d - 156
... | {
"pile_set_name": "DM Mathematics"
} |
5118000
What is the lowest common multiple of 1566 and 8359714?
225712278
Find the common denominator of -247/189420 and 161/405900.
2841300
What is the lowest common multiple of 1337628 and 2839?
223383876
Calculate the common denominator of 17/414 and -139/175050.
4026150
Calculate the smallest common multiple of 751... | {
"pile_set_name": "DM Mathematics"
} |
rt(450) + sqrt(450) + sqrt(450) + sqrt(450))/sqrt(9) + 2.
452/81 + 45*sqrt(2)
Simplify (((-1*sqrt(84)*6 - (sqrt(84) - -2*1*sqrt(84)))*5)/(-6*(sqrt(432) - ((sqrt(432) - (sqrt(432) + sqrt(432)*-1)*-5) + sqrt(432)))))**2.
175/16
Simplify ((sqrt(400) - sqrt(400)*-1)*5 + sqrt(400) + sqrt(400) + sqrt(400) + -4*sqrt(400)*-2)/... | {
"pile_set_name": "DM Mathematics"
} |
/((-14)/9)))/(7/(-147)).
7/3
What is 36/(-450)*555/74?
-3/5
Calculate (((-4104)/76)/108)/(33/6).
-1/11
What is the value of ((-6)/(-152))/(1632/(-77520))?
-15/8
Evaluate (1533/438)/((-35)/910).
-91
What is the value of (25/(-2))/((-33)/(2871/(-29)))?
-75/2
Calculate (207/1035)/((-8)/(-640)).
16
Evaluate (-87)/5742*((-4... | {
"pile_set_name": "DM Mathematics"
} |
be p(0). Let f be ((-16)/(-140))/((-2)/r). Factor 2/7*b - f + 4/7*b**2 - 2/7*b**3.
-2*(b - 2)*(b - 1)*(b + 1)/7
Let z = 56 + -56. Let m(h) be the first derivative of 1/9*h**2 + z*h + 2/27*h**3 - 1. Factor m(k).
2*k*(k + 1)/9
What is x in 98/5 + 168/5*x + 2/5*x**4 - 24/5*x**3 + 44/5*x**2 = 0?
-1, 7
Suppose -5*m = -4*m ... | {
"pile_set_name": "DM Mathematics"
} |
63) and -123/10.
10
Suppose 5*s - 2*s = -5*k, 4*k - s = 0. What is the common denominator of 283/(-6) - (-4)/(-3 + -9) and ((18 - k) + -1)/(-14)?
14
Let o = 0 + 1. Let i = -263/40 - -31/5. Calculate the common denominator of i and -1 - o/(8/13).
8
Suppose 4*a - 5*x - 75 = 0, -16 = -5*a + 4*a + 4*x. Let b(p) = 3*p - 7. ... | {
"pile_set_name": "DM Mathematics"
} |
Let d(g) = 10*a(g) + 6*m(g). Let q be d(-3). Let l be q/(-15)*5/(-2). Solve -p = -l - 0 for p.
2
Let r = -6 + 6. Suppose -3*d + 34 = 3*s - s, 3*s - 6 = r. Solve 7*b - 2*b + d = 0 for b.
-2
Let q(h) be the first derivative of -h**3/3 - 5*h**2 - 5. Let x be q(-10). Suppose 4*v - 11 - 7 = -2*b, -2*b = -3*v + 17. Solve x*f... | {
"pile_set_name": "DM Mathematics"
} |
nder when 82507 is divided by 80095.
2412
Calculate the remainder when 29714082 is divided by 80.
2
Calculate the remainder when 717416 is divided by 717401.
15
Calculate the remainder when 141120 is divided by 46946.
282
What is the remainder when 155082 is divided by 1464?
1362
What is the remainder when 813242 is di... | {
"pile_set_name": "DM Mathematics"
} |
is the seventh smallest value in -1/4, 0.3, 2/137, -2, 4/95, -1, -11?
0.3
What is the third smallest value in 1656, -1/8, -0.02008?
1656
What is the smallest value in -18, -27, 2702/3?
-27
What is the third biggest value in 169/5, 2, -2/221?
-2/221
What is the third smallest value in -21, -452543, -0.5, -6?
-6
What is... | {
"pile_set_name": "DM Mathematics"
} |
/14?
w
Let g be -4*(-3)/12*2. Let d = 1 + 1. Suppose -6 + 16 = d*v. Is g smaller than v?
True
Let m(b) = -b + 63. Let o be m(57). Which is smaller: 27 or o?
o
Let m = 4.4 + 1.6. Suppose 83 - 21 = 2*g. Let j = g + -94/3. Is j less than or equal to m?
True
Let s = 24.93 - 24.93. Which is smaller: s or -161?
-161
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
3666
Which is bigger: 8 or 361/55?
8
Which is greater: 112717 or 112698?
112717
Is -2009367/7 greater than or equal to -287052?
False
Which is greater: -69763 or -7?
-7
Do -1 and -1/315599 have the same value?
False
Does 276560 = 276559?
False
Is -520846 not equal to -520845?
True
Which is greater: 1 or -2535273?
1
Whi... | {
"pile_set_name": "DM Mathematics"
} |
ulate the highest common divisor of 405 and 7209.
81
Calculate the highest common factor of 26 and 84.
2
Calculate the highest common divisor of 2 and 54.
2
What is the greatest common divisor of 320 and 12224?
64
What is the highest common factor of 5890 and 4650?
310
Calculate the greatest common divisor of 1488 and ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -4/9*h**3 + 4/9*h**2 - 2/9*h**4 - m + 2/9*h + 2/9*h**5 = 0. What is h?
-1, 1
Let s(c) be the first derivative of -5*c**4/28 - c**3/3 + 4*c**2/7 + 4*c/7 - 57. Suppose s(i) = 0. What is i?
-2, -2/5, 1
Let b be 108/30 + 2/5. Factor 0 + 2 - b*x**2 + x**2 + x**2.
-2*(x - 1)*(x + 1)
Let t = 10 + -5. Factor 0*c**5 + ... | {
"pile_set_name": "DM Mathematics"
} |
st to g in 5, z, p?
p
Let v be ((-1181697)/9)/((-328)/(-6)). Let t = v - -2402. Let m = t + 3/41. Which is the closest to -1? (a) m (b) -0.5 (c) 4
b
Let m = 1.71 - 0.01. Let q = m + -1.7. Which is the nearest to q? (a) -1 (b) 0.1 (c) 5
b
Let y = 1 + -8. Let i = 8 + y. Let c = 4.9 - 5. What is the nearest to i in ... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -t*h = -33 - 75. Suppose -47 = 5*j - 137. What is the greatest common divisor of h and j?
18
Let w be -66549*(0 - -1)*(-15)/(-38 - -53). Calculate the greatest common factor of w and 21.
21
Let r = 11849 + -11848. What is the highest common factor of r and 3639?
1
Let q(a) = 14*a - 120. Let s be q(15). What is... | {
"pile_set_name": "DM Mathematics"
} |
54.8 - 155. Sort -0.5, q, p in decreasing order.
q, -0.5, p
Let q(a) = a - 5. Let u(c) = c**2 - 6*c. Let v be u(7). Let b be q(v). Put -2, -4, b in decreasing order.
b, -2, -4
Let t(o) = o**3 + 11*o**2 + 11*o + 11. Let c be t(-10). Put c, 4, 5 in ascending order.
c, 4, 5
Let p be -2 + 0/((-2)/2). Let i = 35 + -16. Let ... | {
"pile_set_name": "DM Mathematics"
} |
Divide 1265 by 253.
5
What is 713 divided by 3?
713/3
16 divided by -2
-8
Calculate -270 divided by -30.
9
Divide 28722 by 2.
14361
Calculate 560 divided by 40.
14
What is 270 divided by 45?
6
Divide 1518 by -11.
-138
What is 4 divided by 1430?
2/715
Divide 344 by 8.
43
Calculate -686 divided by -3.
686/3
Divide 5 by ... | {
"pile_set_name": "DM Mathematics"
} |
11, -5*y = 4*l - 64 for y.
12
Solve -p = 2*g - 1 + 10, 185*g - 4*p - 6 = 187*g for g.
-5
Solve -689241*w + 157 = 4*i - 688984*w, 4*i - 5*w = -105 for i.
-25
Solve -n + 173024*m - 173022*m - 35 = 0, m = 4*n + 21 for n.
-1
Solve -u = u + 44, 0 = -6*m - 13*u - 366 + 98 for m.
3
Solve 115*s - 30 = 114*s + 285*n - 282*n, -5... | {
"pile_set_name": "DM Mathematics"
} |
f?
False
Let c(p) = -2*p**2 + 19*p + 1380. Is c(0) a multiple of 69?
True
Let r(q) = -q - 18. Let b be r(9). Let u = 62 + b. Suppose -4*m + 301 = 5*k, 0 = 3*k + 5*m + u - 226. Is k a multiple of 13?
False
Let j(x) = x**2 - 2*x - 3. Let a be j(-1). Suppose 0 = -3*o - 4*p + 210 + 35, a = 3*o + 2*p - 235. Is 15 a factor o... | {
"pile_set_name": "DM Mathematics"
} |
- 5 + 2 + 55*c - 1.
55*c + 1
Collect the terms in -17 + 17 - 12*m**3.
-12*m**3
Collect the terms in 5*g - 74 - 2*g + 63.
3*g - 11
Collect the terms in -l + 20694*l**3 + 0*l + l - 20697*l**3.
-3*l**3
Collect the terms in -1737 + 1737 - 13*m.
-13*m
Collect the terms in 3*m + 9*m + m - m.
12*m
Collect the terms in 4*t**3... | {
"pile_set_name": "DM Mathematics"
} |
highest common divisor of 22 and c.
11
Let h = -210 + 211. Let c(u) be the first derivative of 4*u**3 - u - 1. Let m be c(h). What is the highest common divisor of m and 99?
11
Let r(n) = -13*n**3 + n**2. Let h be r(-1). Suppose 147*s - 112 = 146*s. What is the greatest common factor of s and h?
14
Let y = 96 + -6. Le... | {
"pile_set_name": "DM Mathematics"
} |
hat is the first derivative of 281395125*u - 286469224 wrt u?
281395125
What is the first derivative of 59033272*r*v - 220823621*r wrt v?
59033272*r
What is the second derivative of -2*k**3*r**2 - 105767*k**3*r - k**3 + 798*k**2*r**2 - k*r**2 + 3*k*r - 49*r**2 wrt r?
-4*k**3 + 1596*k**2 - 2*k - 98
Find the second deriv... | {
"pile_set_name": "DM Mathematics"
} |
8)/sqrt(4) + -1)**2 + (((sqrt(8) - sqrt(2)) + sqrt(2))*-6 - (sqrt(12) - -4*sqrt(12))/sqrt(6))**2.
6*sqrt(2) + 586
Simplify 2 + (sqrt(242) + 1)**2 + -3*sqrt(242)*3 + -4 + (-2 + (sqrt(242) + 1)**2 - (sqrt(242)*1*5)**2).
-5568 - 55*sqrt(2)
Simplify (1*(1 + sqrt(52) + sqrt(2548)))**2 - (-1*(sqrt(117) + 2)**2 + -1).
44*sqrt... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 34*b
What is the second derivative of 96*b**2*s**3*w + 3*b**2*w + 3*b*s**2 - 2*s**3*w + 113*s**2*w - 2*w wrt b?
192*s**3*w + 6*w
Differentiate -10544*w**2 - 8019 wrt w.
-21088*w
Find the third derivative of -121*d**3*m**4 + d**3*m**2 + 44*d**3*m - 3*d**2*m**2 + 2*d*m**4 wrt m.
-2904*d**3*m + 48*d*m
Differentiate 1... | {
"pile_set_name": "DM Mathematics"
} |
13/6*h**3 + 0*h**5 + 0*h**2 - 19/30*h**6 - 56*h + 0 + 0*h**4 - 1/42*h**7. What is the second derivative of o(q) wrt q?
-20*q**3 - 228*q**2
Suppose -2*h + 38 = -4*y, -2*y = -y - h + 10. Let i be 5 + 0 + 2/(6/y). What is the third derivative of 19*v**4 + 4*v**2 - 35*v**4 + 0*v**i wrt v?
-384*v
Let x = -80 - -85. Find the... | {
"pile_set_name": "DM Mathematics"
} |
95*a**3 + 3*a + 195*a**3 to n*a**3 + r + z*a**2 + c*a and give n.
8
Rearrange -11*n**2 + 4*n**3 - 8 + 0*n**4 + n**4 + 3*n**4 + 10 - 8*n**2 to the form q*n**2 + b*n + u + f*n**4 + y*n**3 and give y.
4
Express -545*p + 0 + p**2 + 3 + 454*p in the form q*p + c*p**2 + w and give c.
1
Express 25 + 30 + d**3 - 84 + 29 - 30*... | {
"pile_set_name": "DM Mathematics"
} |
hat is the common denominator of 14*((-32526)/3600 - -9) and -73/200?
200
Suppose -3*g = -0 - 30. Suppose 2*m - 3*u = 2*u + 59, -6 = -2*u. Suppose m = 12*l - 107. What is the least common multiple of l and g?
60
Let z = -4424 + 84017/19. Let x = 4387/2128 + z. What is the common denominator of x and 35/24?
336
Let t = ... | {
"pile_set_name": "DM Mathematics"
} |
5, 0, 2
Let m(d) be the first derivative of d**7/2520 - d**6/540 - d**5/360 + d**4/36 - 4*d**3/3 + 3. Let q(t) be the third derivative of m(t). What is v in q(v) = 0?
-1, 1, 2
Let y be (-37)/(-3) + 30/45. Suppose -y = -k - 11. Factor 6/5*p**k + 4/5 - 2*p.
2*(p - 1)*(3*p - 2)/5
Let x(o) be the second derivative of o**5/... | {
"pile_set_name": "DM Mathematics"
} |
17*s**2 + 19*s + 125. Let j(x) = -3*c(x) + 14*o(x). Factor j(w).
-2*(w - 8)*(w - 4)*(w + 2)
Let o(r) be the third derivative of -r**5/300 - 19*r**4/20 - 1083*r**3/10 + 7*r**2. Factor o(y).
-(y + 57)**2/5
Suppose -p = -3*p + 138. Let r = p - 69. Factor -3*t + r - 27/2*t**3 - 33/2*t**2.
-3*t*(t + 1)*(9*t + 2)/2
Let m(t)... | {
"pile_set_name": "DM Mathematics"
} |
2 - 17*s. Suppose 2*k + 12 = -4*l, l - 2*l = 3*k - 2. Suppose k*m + 4 = 12. Give b(m).
10
Let q(z) = -7*z**2 + z - 1. Suppose 0 = -b - 3*d + 1, -d = -5*b + 3*d + 24. Suppose -b*o - 16 = -5*l, -o + 6*l - 15 = 2*l. Give q(o).
-7
Suppose -3*a - 141 = -6*a. Suppose w - 89 = -2*o, -o + 344 = 4*w - a. Let d(u) = -91 + u - w ... | {
"pile_set_name": "DM Mathematics"
} |
(-10) + 17/30. Which is bigger: t or u?
u
Let t be 1/4 - (-305)/12. Let z = t + -25. Let k = 13 + -12. Which is smaller: k or z?
z
Let z(f) = -1. Let v(d) = 2*d**2 - 3*d + 1. Let u(p) = -2*v(p) - 2*z(p). Let q be u(3). Is q less than or equal to -17?
True
Suppose 4*z = 2*z - 4*o + 46, -45 = -5*z + 4*o. Let w = z - 9. S... | {
"pile_set_name": "DM Mathematics"
} |
-2/15
What is ((-3)/(-5))/((-51)/(-510)*(-12)/4)?
-2
(-16)/392*56/(-32)
1/14
What is (-30)/(-18)*(-30)/150?
-1/3
Evaluate (-5)/((3*14/(-63))/2).
15
Calculate (4*1)/(264/990).
15
Calculate ((-6)/(-12))/((-1)/(-1)*23/644).
14
What is 12*(-10)/40*-3?
9
Evaluate (((-4)/50)/(1/(-5)))/(568/(-1065)).
-3/4
Evaluate 1960/196*(... | {
"pile_set_name": "DM Mathematics"
} |
ominator of 67/43850448 and -63/32.
87700896
What is the least common multiple of 1022112 and 9464?
1022112
Calculate the lowest common multiple of 1418335 and 100.
28366700
What is the common denominator of 41/9218169 and 23/5454?
55309014
Calculate the common denominator of 93/5712904 and 41/22.
62841944
Calculate th... | {
"pile_set_name": "DM Mathematics"
} |
+ 8*a. Let t(y) = 4*y**3 + y**2 + 4*y - 1. Let b be t(3). Suppose -b = x - 3*x. What is the remainder when x is divided by a?
30
Let r = -16991 - -17011. Let k(t) = -8*t - 3. What is the remainder when k(-5) is divided by r?
17
Let y(q) = 368*q**3 - 17*q**2 + 16*q + 1. Calculate the remainder when y(1) is divided by 9... | {
"pile_set_name": "DM Mathematics"
} |
c + 707 - 425 = 357 for d.
-15
Solve -42*w + 17*w + 611 = -4*d + 615, 3*w + 2 = 2*d for d.
1
Solve -5*h - 3958 = 5*l - 3848, -h - 8*l = h + 14 for h.
-27
Solve 4*s + 40 = 2*k, -6*k + 1351 - 1321 = 6*s for s.
-5
Solve 59 = 3*l + 5*s, 5*l + 91*s = -2419 + 2104 for l.
28
Solve -2*l - s = 26, 0 = 3*l - 4*s + 346 - 296 for ... | {
"pile_set_name": "DM Mathematics"
} |
for r.
-20
Solve 264*g + 481 - 1404 = 193*g for g.
13
Solve -482 = 617*z + 590 + 162 for z.
-2
Solve 190 = 62*p - 0*p + 748 for p.
-9
Solve 127*h = 37*h + 58*h + 256 for h.
8
Solve -243 + 63 = 60*g for g.
-3
Solve -90 + 1402 = 82*n for n.
16
Solve 204*p - 354*p = 1950 for p.
-13
Solve -12*i - 2 = -31*i + 20*i for i.
-... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 2*n**3.
-25*n**3
Expand (53 - 53 + 66*z**2)*(-4 + 2 + 6)*(1 + 0 + 1).
528*z**2
Expand (2 - 2 + h)*(-31 + 10*h + 31)*(-2*h + 5*h + 20*h).
230*h**3
Expand (2*o - 1 + 1)*(-5 + 11*o**4 + 5) + 4*o**5 + 8 - 8.
26*o**5
Expand 4*t**5 + t**5 - 6*t**5 + (-t**3 + t**3 - 2*t**3)*(t**2 + t - t) + 197*t**2 - 197*t**2 + 10*t**5... | {
"pile_set_name": "DM Mathematics"
} |
, 2/9, -6.4, 1/3, 0.2.
-6.4, 0.2, 2/9, 1/3, 3
Put 346, 1, 12, 0 in descending order.
346, 12, 1, 0
Put 4, -28352, 3 in decreasing order.
4, 3, -28352
Put -81, -341, -2, -3, 3 in decreasing order.
3, -2, -3, -81, -341
Put -17, -508, -5, 0, -3, -2 in decreasing order.
0, -2, -3, -5, -17, -508
Put -4, 41, 56, 34 in increa... | {
"pile_set_name": "DM Mathematics"
} |
is the x'th term of 21430, 42856, 64280, 85702?
-x**2 + 21429*x + 2
What is the w'th term of -22, -11, 8, 35?
4*w**2 - w - 25
What is the s'th term of 71, 346, 805, 1448, 2275, 3286, 4481?
92*s**2 - s - 20
What is the l'th term of 31, 62, 115, 190, 287, 406?
11*l**2 - 2*l + 22
What is the w'th term of -39063, -39066, ... | {
"pile_set_name": "DM Mathematics"
} |
0.4, 0.09?
0.4
What is the closest to 0 in -1/2, 1.76, 3?
-1/2
Which is the closest to 4/19? (a) 4 (b) 2/9 (c) 0.21
c
Which is the nearest to 1/2? (a) -1/4 (b) 1/8 (c) 5 (d) -17
b
Which is the closest to -0.64? (a) 0.5 (b) -1/6 (c) -2 (d) 4
b
What is the nearest to 0 in 4, -35, 0.5, 2/9?
2/9
What is the nea... | {
"pile_set_name": "DM Mathematics"
} |
t is 159227 to the power of 1/8, to the nearest integer?
4
What is 22393 to the power of 1/4, to the nearest integer?
12
What is 23382 to the power of 1/4, to the nearest integer?
12
What is 92579 to the power of 1/3, to the nearest integer?
45
What is the square root of 1566 to the nearest integer?
40
What is 102057 t... | {
"pile_set_name": "DM Mathematics"
} |
b - 17. Give m(6).
-11
Let y(b) = b**3 + 7*b**2 + 9*b - 15. Give y(-6).
-33
Let d(r) = 17*r. Calculate d(-1).
-17
Let x(m) = -m**3 + 11*m**2 - 17*m - 1. Calculate x(9).
8
Let s(l) = l**3 + 6*l**2 - 2*l + 21. Give s(-6).
33
Let b(i) = 40*i**2 - 3*i + 1. Give b(1).
38
Let x(j) = -j**2 + 7. Calculate x(5).
-18
Let i(g) = ... | {
"pile_set_name": "DM Mathematics"
} |
is the product of -0.3 and -17.411574?
5.2234722
What is 4368 times 380.9?
1663771.2
-4*-3330079
13320316
-3.66655 times -222
813.9741
0.0677559 times -0.6
-0.04065354
Product of -76 and -262460.
19946960
Product of 0 and -0.07835113.
0
Multiply -510 and 742.
-378420
Work out -889 * 2265.
-2013585
Work out 1.6483171 * ... | {
"pile_set_name": "DM Mathematics"
} |
c09 (base 13) to base 8.
46235
31244112 (base 7) to base 10
2632926
What is 110110000100001101 (base 2) in base 13?
79a4b
Convert 100100000100101110 (base 2) to base 12.
71612
-603922 (base 10) to base 6
-20535534
53477 (base 11) to base 9
127606
Convert -4e163 (base 15) to base 12.
-100870
Convert -3a7c4d (base 14) to... | {
"pile_set_name": "DM Mathematics"
} |
107445 and -0.01?
-31074.45
Work out 197719.8 * 6.
1186318.8
-0.9492*-0.0776
0.07365792
-2.22921*-3.6
8.025156
-3.1*41626999
-129043696.9
What is the product of -1353106 and -3.4?
4600560.4
Multiply -48.4 and 107.306.
-5193.6104
Calculate -0.3815817*12.
-4.5789804
Work out 7.06978 * 643.
4545.86854
-279.79 times -1159
... | {
"pile_set_name": "DM Mathematics"
} |
cking 2 u and 1 m?
1/10
Three letters picked without replacement from {t: 10, i: 6, q: 2}. Give prob of picking 1 t and 2 i.
25/136
Two letters picked without replacement from {w: 1, q: 1, x: 3, k: 1, t: 2, e: 3}. Give prob of picking 1 k and 1 w.
1/55
Two letters picked without replacement from {g: 10, l: 9}. What is ... | {
"pile_set_name": "DM Mathematics"
} |
t p be h(4). Calculate the lowest common multiple of 18 and (10/15)/(p/81).
18
Let f = -50 + 58. Find the common denominator of ((-737)/264)/(1 - 38/f) and 81/14.
630
Let w(d) = d + 1. Let i(k) = -8*k - 19. Let y(j) = -2*i(j) - 18*w(j). What is the smallest common multiple of 20 and y(7)?
60
Find the common denominator... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 192*i + 1
What is the h'th term of -100381, -100362, -100319, -100240, -100113?
2*h**3 + 5*h - 100388
What is the p'th term of -2629, -4889, -7149?
-2260*p - 369
What is the r'th term of 9294, 18618, 27944, 37272, 46602, 55934?
r**2 + 9321*r - 28
What is the y'th term of -271, -500, -631, -616, -407, 44, 785?
8*y*... | {
"pile_set_name": "DM Mathematics"
} |
bbbbbbbbab. Give prob of picking 1 a and 3 b.
1/3
Calculate prob of picking 2 x and 1 w when three letters picked without replacement from {w: 3, x: 8, u: 3, l: 3}.
21/170
Four letters picked without replacement from {d: 1, a: 1, m: 2, w: 2}. Give prob of picking 2 w, 1 m, and 1 a.
2/15
Two letters picked without repla... | {
"pile_set_name": "DM Mathematics"
} |
+ 14 + 4. Give a(4).
-4
Let m(h) be the second derivative of -1/10*h**5 + 5/12*h**4 - 14*h - 4 - 2*h**2 - 1/2*h**3. Calculate m(3).
-22
Let k(n) = 47 - 35*n - 173 - 67 - 3*n - n. Determine k(-5).
2
Let g(i) = 2*i**3 - 5*i**2 - 5*i - 8. Let s be g(-3). Let l = -25 + s. Let u = -122 - l. Let w(c) = -2*c + 2. Calculate w... | {
"pile_set_name": "DM Mathematics"
} |
is the next term in 403, 2829, 9381, 22117, 43095?
74373
What is the next term in -2115, 447, 3009, 5571, 8133?
10695
What is next in -10975, -10819, -10397, -9577, -8227, -6215, -3409, 323?
5113
What is the next term in -1314, -5474, -12404, -22104?
-34574
What comes next: -109094, -433289, -973614, -1730069, -270265... | {
"pile_set_name": "DM Mathematics"
} |
4*i**2. Determine g(j(p)).
-8*p**2
Suppose -10 = 5*n - 30, -2*d + n = 0. Let x(w) = -3*w**2 - d*w**2 + 3*w**2. Let u(j) = -j**2 + 5*j**2 - 5*j**2. Calculate u(x(v)).
-4*v**4
Let a(c) = c. Let y(l) = 34*l**2 - 5. Let x(q) = 697*q**2 - 102. Let m(t) = 5*x(t) - 102*y(t). Determine a(m(p)).
17*p**2
Let i(u) = 4*u**2. Let ... | {
"pile_set_name": "DM Mathematics"
} |
digit of m?
2
Let j(g) = g + 1. Let x be j(-7). Let a = -3 - x. What is the units digit of a?
3
What is the units digit of (24/9 + -3)*-45?
5
Let b(l) = 13*l - 10. What is the tens digit of b(3)?
2
Let h be -9 + (-1 - 0) + 3. Let p(l) = l + 9. What is the units digit of p(h)?
2
What is the tens digit of (1 + -4)/((-30... | {
"pile_set_name": "DM Mathematics"
} |
= -174 - d. Let x = 5 - 2. Solve a = i - 0 - x for i.
3
Let n(t) = -t**3 + 7*t**2 - 7*t + 7. Let a be n(6). Let z be 2/(-2)*(-1 + a). Let c be 40 + 4590/(-136) - (-6)/8. Solve z = 5*u + c - 22 for u.
3
Suppose -r - 82*b + 86*b + 36 = 0, 0 = -2*r + 3*b + 42. Solve -r = 14*i - 26 for i.
1
Suppose 4*s + 9 = 5*z, 4*z - 3 ... | {
"pile_set_name": "DM Mathematics"
} |
order.
67, 6, -3
Sort -0.157, 4/7, 0.3, -6 in increasing order.
-6, -0.157, 0.3, 4/7
Put 313, -3, 23 in decreasing order.
313, 23, -3
Sort 0.2, -0.03, -4, 1/6 in decreasing order.
0.2, 1/6, -0.03, -4
Put -4, 4, 2, 5 in increasing order.
-4, 2, 4, 5
Sort -3, -1/2, 5 in descending order.
5, -1/2, -3
Sort -3, 174, 3 in as... | {
"pile_set_name": "DM Mathematics"
} |
)
Simplify ((w*w**(3/2))/(w*w**(-7)))**(-23)*((w/(w/(w**(-2/9)*w)))/w**1)/(((w/w**(5/6))/w)/w**1) assuming w is positive.
w**(-1745/9)
Simplify ((((x/(x/((x*x*x**2)/x))*x)/x)/x)**(2/15))**(37/5)*(x*x/(x/x**(2/3))*x)**(-18)*x**(-6)*x**(-3) assuming x is positive.
x**(-4127/75)
Simplify ((w**1)**(-12/7)/(w**2)**41)/((w*w... | {
"pile_set_name": "DM Mathematics"
} |
*2 + (x + 0 + 0)*((-1 + 4 - 1)*(4*x + x - 3*x) + 6 + x - 6).
4*x**2
Expand (8*l - 5*l + 3*l)*(3 + 0 - 1 + (-3 - 3 + 4)*(0 - 1 - 1) - 6 + 3 + 4)*(0 + 2 + 0).
84*l
Expand (-1 - 2 + 4)*(7*a**2 - 3*a**3 - 7*a**2)*(-1 + 1 - 2).
6*a**3
Expand (3 - 2*t**2 - 3)*(-2*t + 6*t - t + (1 + 0 - 6)*(2 + t - 2)).
4*t**3
Expand ((0 + 1 ... | {
"pile_set_name": "DM Mathematics"
} |
s are there between 3:43 PM and 11:21 PM?
458
What is 2 minutes after 2:12 AM?
2:14 AM
How many minutes are there between 12:44 PM and 11:53 PM?
669
How many minutes are there between 11:12 AM and 4:16 PM?
304
What is 480 minutes after 6:44 AM?
2:44 PM
How many minutes are there between 2:54 PM and 12:59 AM?
605
What i... | {
"pile_set_name": "DM Mathematics"
} |
5, w, b in descending order.
b, 1/15, w, -5
Let x = -363 - -358.92. Let d = -0.52 + -0.4. Let k = d + x. Sort -0.1, k, -6/11, -1/4 in increasing order.
k, -6/11, -1/4, -0.1
Let h = -79350 - -396754/5. Let s = 24.19 + -0.19. Let r = -23.87 + s. Sort h, r, 3.
r, h, 3
Suppose 6*z + 0*z = 174. Let r = 29 - z. Let i(a) = 4*... | {
"pile_set_name": "DM Mathematics"
} |
= 4 - 4. Suppose -z = -f*z - 12. What is the units digit of z?
2
Let q be 4/(-1) - (-1 + 1). Let r = q - -16. What is the units digit of r?
2
Let a = 9 - 3. Suppose r = a*r + 100. What is the tens digit of (r + 2 - 0)/(-1)?
1
Suppose 7*l + 30 - 303 = 0. What is the tens digit of l?
3
Suppose -6*s + 118 + 2 = 0. What is... | {
"pile_set_name": "DM Mathematics"
} |
t is the next term in -2472, -2430, -2358, -2250, -2100, -1902, -1650?
-1338
What is next in 611, 1212, 1957, 2852, 3903, 5116, 6497, 8052?
9787
What is the next term in 1093454846, 1093454847, 1093454848, 1093454849, 1093454850?
1093454851
What is the next term in -440184, -880149, -1320114, -1760079, -2200044, -26400... | {
"pile_set_name": "DM Mathematics"
} |
-7).
28
Let z(x) = x**3 + x**2 + x - 17. Give z(0).
-17
Let o(s) = -s**2 - 7*s + 12. Give o(-9).
-6
Let b(x) = x**2 + 5*x + 4. Give b(3).
28
Let o(c) = c**2 - 7*c + 3. Give o(6).
-3
Let w(x) = x**2 - x + 2. Give w(2).
4
Let m(g) = -g**3 - 6*g**2 - 2*g + 5. Calculate m(-6).
17
Let u(x) = x**3 - 4*x**2 - x - 3. Calculate... | {
"pile_set_name": "DM Mathematics"
} |
2*d**2 - 7*d - 6. Let b(n) = -5*m(n) - 6*t(n). Let p(h) = 3*h**2 - 5*h. Calculate -5*b(o) + 7*p(o).
o**2
Let p(h) = -h**3 + h**2 - h - 1. Let j(t) = 21*t**3 - 28*t**2 + 28*t + 28. Calculate 3*j(x) + 84*p(x).
-21*x**3
Let g(h) = -h**2 + 5*h + 6. Let l be g(5). Let j = l - 5. Let y(u) = u. Let w(b) = 8*b + 1. Let z be -6... | {
"pile_set_name": "DM Mathematics"
} |
3, 31, 99, 213, 385, 627, 951?
2*u**3 - u**2 + u - 17
What is the g'th term of -767, -1535, -2303, -3071, -3839?
-768*g + 1
What is the g'th term of 1071, 1080, 1095, 1116, 1143, 1176?
3*g**2 + 1068
What is the c'th term of 43, 63, 97, 145?
7*c**2 - c + 37
What is the r'th term of -108, -161, -208, -249, -284?
3*r**2 -... | {
"pile_set_name": "DM Mathematics"
} |
4*d - 2. Let p be (-2)/7 + (-210)/(-49). Let g be b(p). What is the units digit of 2 + ((-6)/g - 3)?
2
Suppose 96 = 5*r + 3*o, 2*r - 3 = -o + 36. What is the units digit of r?
1
Let p be (-3)/(6/2) + 6. Suppose 4*x + 1 = p. Suppose -2*l = -17 + x. What is the units digit of l?
8
Let p be 40/15*(-6)/(-4). Suppose 3*d -... | {
"pile_set_name": "DM Mathematics"
} |
ntiate 9*h**4 - 17*h**w + 5*h**4 - 2 wrt h.
-12*h**3
Find the third derivative of 330*y**2 + 326*y**2 - 689*y**2 - 22*y**3 wrt y.
-132
Let g be 3 + 3/(-3) + -2. Suppose -8 = -2*l - g*l. What is the second derivative of q**3 + 2*q**3 - l*q - q**3 + 2*q wrt q?
12*q
Let n(m) = 5*m - 5. Let k be n(2). What is the derivativ... | {
"pile_set_name": "DM Mathematics"
} |
4128*k**2 - 16*k + 2
What is the h'th term of 131125, 262250, 393375, 524500, 655625, 786750?
131125*h
What is the f'th term of -3221, -6475, -9725, -12971, -16213, -19451, -22685?
2*f**2 - 3260*f + 37
What is the z'th term of 1233, 1218, 1187, 1134, 1053?
-z**3 - 2*z**2 - 2*z + 1238
What is the s'th term of 1855303, 3... | {
"pile_set_name": "DM Mathematics"
} |
-6*h(l) + 13*m(l). Let n(i) = 5*i**2 - 6*i - 20. What is 13*n(r) + 6*u(r)?
-r**2 - 14
Let d(u) = 1009*u - 4. Let r(i) = 254268*i - 1009. Determine 1009*d(m) - 4*r(m).
1009*m
Let c(d) = 50*d + 14. Suppose -y = 4*z + 57, 2*z = -2*z - 2*y - 58. Let v(i) = 10*i + 3. Give z*v(k) + 3*c(k).
10*k
Let x(f) = 4*f + 1. Let q(v) ... | {
"pile_set_name": "DM Mathematics"
} |
6*c. Let f(z) = 4*z + 0*z - 3*z. Let g(d) = w*f(d) + 3*v(d). Let q(m) = 2*m**2. Calculate q(g(a)).
18*a**2
Let z(q) = -413*q**2. Let n(x) = -84*x. Determine n(z(u)).
34692*u**2
Let r(h) = 2*h**2. Let w(g) = -6*g**2 - 4*g - 4. Let q(p) = -5*p**2 - 3*p - 3. Let n(a) = -4*q(a) + 3*w(a). Give r(n(v)).
8*v**4
Let o(n) = -6... | {
"pile_set_name": "DM Mathematics"
} |
from {a: 1, u: 1, w: 3, l: 3, z: 3, j: 2}?
3/143
Three letters picked without replacement from {i: 1, o: 1, w: 2, c: 1, g: 1, v: 1}. Give prob of picking 1 i, 1 v, and 1 g.
1/35
Two letters picked without replacement from rrhvy. Give prob of picking 2 r.
1/10
Calculate prob of picking 1 x, 1 q, and 1 h when three lette... | {
"pile_set_name": "DM Mathematics"
} |
s or 0?
s
Let q(m) = -3 - 89 - 4*m + 0*m + 44. Let g be q(-12). Is g smaller than -159?
False
Let g be (6/(-9))/(2/6). Let m = 69 - 64. Suppose 0 = -s - m*s + 18. Is s at most as big as g?
False
Let w(j) = 4*j + 58. Let i be w(-13). Let b be 3 - 19/i - 994/(-5460). Which is bigger: b or -1?
b
Suppose -m + 2307 = -12*t ... | {
"pile_set_name": "DM Mathematics"
} |
et y(h) = 9*j(h) + 2*x(h). Give s*y(m) + c(m).
-m - 2
Let i(p) = -15*p + 15*p - 4 - 5*p**3. Let r(d) be the first derivative of -d**4/4 - d + 1. Suppose -3*k = -k - 2. Calculate k*i(n) - 4*r(n).
-n**3
Let x(s) = 2. Let d be -7 + (-10)/(70/(-21)). Let h(j) = j**3 - 3. What is d*h(i) - 5*x(i)?
-4*i**3 + 2
Let k(g) = -8*g... | {
"pile_set_name": "DM Mathematics"
} |
.83. Let x = -3 + j. Let k = -0.04 - -5.04. Which is the smallest value? (a) k (b) 0.4 (c) x
c
Let h(j) = j + 3. Let g be h(4). Suppose -19 = -o + 5*p, o - 3*p + 17 = -g*p. What is the second smallest value in 2/5, o, 0?
0
Let v = -20 - -21. What is the second smallest value in -4, v, 1/4?
1/4
Let k = 0.4 - -0.1. Le... | {
"pile_set_name": "DM Mathematics"
} |
*t**2. Calculate n(i).
-4
Let r = -25 + 27. Suppose -a = -0*a + r. Let b(w) be the third derivative of -w**5/30 + w**3/3 - 4*w**2. What is b(a)?
-6
Let s = -15 - -42. Suppose 5*l - s = -b, 2*b + 5*l - 26 = 2*l. Let m(z) = -z**3 + 6*z**2 + 6*z + 3. Give m(b).
-4
Let g(f) = -4*f**2 + 1. Let s(h) = -h**2 + 19*h + 42. Let ... | {
"pile_set_name": "DM Mathematics"
} |
7*l. Which is smaller: l or -16/101?
-16/101
Let q = 124 + -126. Are q and -13/7 unequal?
True
Let q = 14.85 - 20.9. Let a = -0.55 + q. Let z = a + -0.4. Which is bigger: 0.1 or z?
0.1
Suppose -2*c + 15 = -5*s, c - 11 = s - c. Let f be -4*(0 + s/1). Which is smaller: f or 0?
0
Let p = 15/44 - 765/308. Is 2 != p?
True
L... | {
"pile_set_name": "DM Mathematics"
} |
4 - 30
Let z(r) = -56*r. Let x(a) = -a**2 - 2613. Calculate x(z(h)).
-3136*h**2 - 2613
Let p(o) = -63*o - 28683. Let y(r) = -6*r. Give p(y(n)).
378*n - 28683
Let z(o) = 2*o. Let b(d) be the second derivative of 95*d**3/3 - 5*d + 28. What is z(b(t))?
380*t
Let y(f) = f. Let z(h) be the third derivative of -98*h**5/5 - 5... | {
"pile_set_name": "DM Mathematics"
} |
2 p, 1 s, and 1 f.
6/715
Four letters picked without replacement from vvvvvvvxvvvvxxvvxxv. What is prob of picking 2 x and 2 v?
455/1938
Four letters picked without replacement from {y: 6, x: 7}. What is prob of picking 4 y?
3/143
What is prob of picking 3 u when three letters picked without replacement from uuuuuuuuuu... | {
"pile_set_name": "DM Mathematics"
} |
-0.3, 53, 5 in ascending order.
-0.3, -1/12, 0.01, 2/3, 5, 53
Put 0.1, 1/4, 3/35 in ascending order.
3/35, 0.1, 1/4
Put -4061, -2, -1, 47 in increasing order.
-4061, -2, -1, 47
Put 4, -1, -10, 397 in increasing order.
-10, -1, 4, 397
Sort -0.1, 2/5, 3, -1.1344 in ascending order.
-1.1344, -0.1, 2/5, 3
Sort -1333, -13,... | {
"pile_set_name": "DM Mathematics"
} |
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