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8). Let m(o) be the first derivative of 1/2*o**4 - 10/3*o**3 - 8*o + 8*o**2 + w. Factor m(d).
2*(d - 2)**2*(d - 1)
Let x(p) be the first derivative of p**3/9 + 67*p**2/3 + 4489*p/3 + 810. Determine i, given that x(i) = 0.
-67
Find x, given that -11*x**2 - 5*x + 11*x**2 - 6*x**2 - 2*x - 1 = 0.
-1, -1/6
Suppose 70 = -11*l + l. Let d be l/(-21) - (1 - (-24)/(-9)). Factor 4/9*v**d + 10/9*v**5 + 2*v**3 + 0*v + 0 + 8/3*v**4.
2*v**2*(v + 1)**2*(5*v + 2)/9
Let x = -849 - -849. Let u(r) be the third derivative of -1/80*r**5 + 0*r + 0*r**4 + 1/160*r**6 + 3*r**2 + x + 0*r**3. Let u(d) = 0. Calculate d.
0, 1
Let g be ((-8)/(-6))/(2/15*5). Solve 118*o**3 + 25*o**g + 5 - 88*o - 24*o**4 - 6 + 35*o**2 - 18*o**5 - 47 = 0.
-3, -2/3, 1, 2
Let u be (14/21)/(2/90). Let x(k) = k**4 + k. Let o(z) = -4*z**5 - 15*z**4 - 6*z**3 - z**2 - 6*z. Let g(s) = u*x(s) + 5*o(s). Suppose g(w) = 0. Calculate w.
-1, -1/4, 0
Let i = -2/99 - -76/495. Let r(y) be the first derivative of -i*y**5 + 2/9*y**3 + 1/6*y**2 + 0*y + 7 - 1/18*y**6 + 0*y**4. Find m such that r(m) = 0.
-1, 0, 1
Suppose -q = 16 - 14. Let x be (-16)/(-6) + q/(-6). Suppose 4*h**3 + 0*h**3 - 2*h**x - 4*h**4 + 6*h**4 = 0. What is h?
-1, 0
Suppose 59 = 4*j + 43. Let h(s) be the first derivative of -j*s - s**4 - 1 + 4/3*s**3 + 2*s**2. Factor h(c).
-4*(c - 1)**2*(c + 1)
Let w(g) = -6 - g**3 - 2 - 4*g + 7*g**2 + 3. Let q be w(6). Find b such that 0*b**4 + q*b**3 + b**4 + b**4 - b + 2*b**2 + 2*b**4 = 0.
-1, 0, 1/4
Let o(f) = 2*f**4 - 86*f**3 + 396*f**2 + 2688*f + 3073. Let v(r) = r**4 + 2*r**3 - 1. Let z(k) = -o(k) - v(k). Solve z(w) = 0 for w.
-2, 16
Let s(o) be the third derivative of o**6/120 - o**5/15 + o**4/24 + o**3 - 9*o**2 - 4. Find x such that s(x) = 0.
-1, 2, 3
Let c(y) be the first derivative of y**8/15120 - y**7/7560 - y**6/1620 - 4*y**3/3 - 12. Let l(p) be the third derivative of c(p). Suppose l(x) = 0. What is x?
-1, 0, 2
Factor 17/5*q - 1/5*q**2 - 16/5.
-(q - 16)*(q - 1)/5
Let p(y) be the second derivative of -y**6/210 - 38*y**5/35 - 650*y**4/7 - 10000*y**3/3 - 125000*y**2/7 + 438*y. Factor p(w).
-(w + 2)*(w + 50)**3/7
Suppose 11*s - 13 = 9. Factor -8*f**2 - 844*f - f**2 - 3*f**s + 12 + 889*f.
-3*(f - 4)*(4*f + 1)
Let g(a) = -a**2 - 4*a - 4. Suppose -r - 1 = z + 2*z, 2*z + 3*r - 11 = 0. Let n be g(z). Solve 18/7*o**3 + n + 4/7*o + 22/7*o**2 = 0 for o.
-1, -2/9, 0
Let o be (-50)/(-13) + 2/13. Suppose -36*m + 48*m - 24 = 0. Factor -1/3*h**5 + 0*h - 1/3*h**3 - 2/3*h**o + 0 + 0*h**m.
-h**3*(h + 1)**2/3
Let d(h) be the second derivative of -h**5/70 - h**4/6 + h**3/21 + h**2 - 5*h + 3. Factor d(x).
-2*(x - 1)*(x + 1)*(x + 7)/7
Factor 47/3*w - 20/3*w**2 + 1/3*w**3 + 68/3.
(w - 17)*(w - 4)*(w + 1)/3
Let o(c) be the second derivative of c**7/147 + 2*c**6/105 - 3*c**5/70 - 2*c**4/21 + 4*c**3/21 + 3*c + 1. What is t in o(t) = 0?
-2, 0, 1
Let f = -277 - -280. Let r(c) be the third derivative of -10*c**2 + 0*c + 0*c**4 + 1/10*c**5 + 0 + 1/70*c**7 + 3/40*c**6 + 0*c**f. Factor r(a).
3*a**2*(a + 1)*(a + 2)
Let k(i) = -57*i**3 + 296*i**2 - 278*i + 80. Let q(m) = -14*m**3 + 74*m**2 - 70*m + 20. Let y(g) = -4*k(g) + 18*q(g). Let y(p) = 0. What is p?
1/2, 2/3, 5
Let s(g) be the first derivative of 1/16*g**4 - 7/2*g**2 - 1/80*g**6 - 9 - 1/12*g**3 + 1/120*g**5 + 0*g. Let l(c) be the second derivative of s(c). Factor l(v).
-(v - 1)*(v + 1)*(3*v - 1)/2
Factor 284*w + 244 - w**2 + 73 - 29 - 3*w**2.
-4*(w - 72)*(w + 1)
Let s(z) be the second derivative of 7*z**5 - 59*z**4/3 + 56*z**3/3 - 8*z**2 + 494*z. Factor s(h).
4*(h - 1)*(5*h - 2)*(7*h - 2)
Factor -40*p**2 - 98/3*p**4 - 84*p**3 + 0 - 16/3*p.
-2*p*(p + 2)*(7*p + 2)**2/3
Let c be (-1 - 2/(-1)) + -1. Suppose 44*a - 85*a = 0. Find q, given that 2/7*q**5 + 0 + 0*q**3 + c*q**2 + a*q**4 + 0*q = 0.
0
Let t(y) be the third derivative of 0*y**4 + 1/30*y**5 + 4*y**2 + 0*y**3 + 0 + 0*y. Factor t(h).
2*h**2
Let x(f) be the second derivative of 27*f**2 + 0 + 73/10*f**5 + 3/2*f**4 - 27*f**3 + 4/21*f**7 + 32/15*f**6 + f. Factor x(r).
2*(r + 3)**3*(2*r - 1)**2
Let v(b) be the third derivative of b**5/270 - 127*b**4/27 + 64516*b**3/27 - 3*b**2 + 130. Factor v(y).
2*(y - 254)**2/9
Suppose 0 = -5*w + 54 - 14. Suppose -2*y + w = 2*y. Let -y*f - 4 + 6 - 2*f**4 + 4*f**3 - 2*f = 0. What is f?
-1, 1
Let n = 9 + 117. Let m be 24/n*6/4. Solve 4/7*k + 0 - m*k**2 = 0.
0, 2
Let r(c) be the second derivative of -c**5/40 + 19*c**4/24 + 5*c**3/3 + 49*c + 2. Factor r(x).
-x*(x - 20)*(x + 1)/2
Suppose -26*u = 26*u - 39*u - 26. Factor 1/2*n**u + 1/8*n**3 + 0 + 1/2*n.
n*(n + 2)**2/8
Solve 3*c**2 + 32*c + 2*c**2 - 95*c + 31*c + 37*c = 0.
-1, 0
Let y be (-15)/21 + 3/6*2. Let x be 9/(126/16) + -1. Let -y*u**3 + 0 + 0*u - 1/7*u**2 - x*u**4 = 0. What is u?
-1, 0
Let g(n) be the second derivative of n**5/20 + n**4/6 - 13*n**3/6 + 5*n**2 + 2*n - 47. Find l such that g(l) = 0.
-5, 1, 2
Let d = 55 + -48. Let t be d - 2 - (-40)/(-8). Let 3/2*g**2 + 9/2*g + t = 0. What is g?
-3, 0
Let f(r) = r**3 + 7*r**2 - 2*r - 10. Let a be f(-7). Let z(m) be the first derivative of -m**2 - 2 - 9*m**3 - 3*m**a - 8*m**2 + m - 4*m. Factor z(w).
-3*(w + 1)**2*(4*w + 1)
Factor 0 - 45/2*a**2 + 75/2*a - 3/2*a**4 - 27/2*a**3.
-3*a*(a - 1)*(a + 5)**2/2
Let c = 4 + 8. Factor 3 - 8*p**3 - 3*p**3 + 7*p**3 - 7 - c*p - 12*p**2.
-4*(p + 1)**3
Let g = -9 + 12. Let k(l) = l - 1. Let i be k(g). Factor 2*d**3 + 8*d + 0*d**3 - 14*d**3 - 4*d**i + 4*d**4 + 4*d**5.
4*d*(d - 1)**2*(d + 1)*(d + 2)
Suppose -u + 7 = -m - 19, m + 5*u + 8 = 0. Let b be (m/138)/(2/(-6)). Factor 1/2*g**2 + b*g - 1.
(g - 1)*(g + 2)/2
Let f(s) be the second derivative of 0*s**2 + 1/10*s**5 + 0 - 5/6*s**4 + 4/3*s**3 + 20*s. Suppose f(u) = 0. Calculate u.
0, 1, 4
Suppose 0 = 4*m - 39*m. Let v(g) be the second derivative of 1/9*g**3 + m + 0*g**2 - 4*g + 1/30*g**5 + 1/9*g**4. Solve v(j) = 0.
-1, 0
Let m(w) = -2*w**4 - w**3 + w**2 - w. Let g(q) = 25*q**4 + 20*q**3 - 25*q**2 - 10*q + 20. Let b(c) = -g(c) - 10*m(c). Find h, given that b(h) = 0.
-2, 1
Let b(y) be the third derivative of -2*y**7/105 - 7*y**6/3 - 431*y**5/5 - 1190*y**4/3 - 2312*y**3/3 - 2*y**2 + 5. Find u such that b(u) = 0.
-34, -1
Suppose 10*q - 40 = 5*q. Determine b, given that -q + 5 + 4*b**2 + 2 - 3 = 0.
-1, 1
Let t be (-8)/18*12/(-8). Let v(b) be the second derivative of b - 1/6*b**4 - b**2 + t*b**3 + 0. Factor v(k).
-2*(k - 1)**2
Let l = -247 - -250. Let a(t) be the second derivative of 0*t**l - 1/6*t**4 + 0 + 0*t**2 - 3*t. Factor a(c).
-2*c**2
Let j(l) be the first derivative of -36*l**5/5 - 88*l**4 - 496*l**3/3 + 64*l**2 - 316. Find i, given that j(i) = 0.
-8, -2, 0, 2/9
Let f be (-2)/(-2) + 1403/5. Let g = 10106/5 - 2016. Solve 4/5 - f*d**4 + g*d - 160*d**3 - 72/5*d**2 = 0.
-1/4, 2/11
Let k be (-303)/210*-2 - 9/15. Factor -4/7*w**2 - k - 16/7*w.
-4*(w + 2)**2/7
Let p(m) be the second derivative of -1/210*m**6 + 0 - 1/84*m**4 + 0*m**2 + 0*m**3 - 1/70*m**5 - 12*m. Find i, given that p(i) = 0.
-1, 0
Let f = 162 + -162. Let u(q) be the first derivative of f*q - 1/4*q**4 - q**3 - q**2 + 5. Solve u(a) = 0 for a.
-2, -1, 0
Factor 5/2*a**3 + a + 39/4*a**2 - 13 - 1/4*a**4.
-(a - 13)*(a - 1)*(a + 2)**2/4
Let f be (-16)/(-256)*136 - 14/2. Factor 0 - 3/4*a + 0*a**4 + 2*a**2 + 1/4*a**5 - f*a**3.
a*(a - 1)**3*(a + 3)/4
Let i(s) = s**3 - 5*s**2 + 9*s - 4. Let f be i(2). Let l(a) be the first derivative of -1/5*a**3 + 2 - 3/10*a**f + 0*a. Find w such that l(w) = 0.
-1, 0
Factor -12*k + 22 + 21 + 11 + k**2 - 67.
(k - 13)*(k + 1)
Let i = 17037 + -67577/4. Let n = i - 142. Determine a, given that 3/4*a**2 - n + 0*a = 0.
-1, 1
Let -4*b**2 - 1/3*b**3 - 64/3 - 16*b = 0. Calculate b.
-4
Let f be 0 + (-8 - -6 - (-1 - 6)). Factor -15*k**3 - 9*k**2 + 5*k**4 - 2*k**2 + k**2 + 5*k**2 + 10*k + f*k**5.
5*k*(k - 1)**2*(k + 1)*(k + 2)
Let k(w) be the second derivative of 7*w**6/6 + 2*w**5 + 5*w**4/12 - 10*w + 2. Solve k(d) = 0 for d.
-1, -1/7, 0
Let b = 405 + -362. Let u = 43 - b. Determine c so that -3/4*c**2 - 1/2*c - 1/4*c**3 + u = 0.
-2, -1, 0
Let n(y) = -y**3 - 15*y**2 + y + 22. Let f be n(-15). Suppose -2*z + 5*s - f = 2*z, -z - s = -5. Suppose 1/4 + 0*d - 1/4*d**z = 0. Calculate d.
-1, 1
Let z(j) be the first derivative of -j**6/840 + 8*j**3/3 + 10. Let g(o) be the third derivative of z(o). Solve g(t) = 0 for t.
0
Let g = 6 - 3. Let l = -31
|
{
"pile_set_name": "DM Mathematics"
}
|
-2)/((-6)/5))
-1/5
Calculate ((-18)/30*-5 + -8)*1.
-5
What is 46/(-8) - (-1)/((-24)/(-18))?
-5
Evaluate 3/(540/310) - (-14)/(-63).
3/2
What is the value of (80/15 - 5)*4/(-6)?
-2/9
(-782)/(-2618) + 16/(-28)
-3/11
What is (-6)/(14 + 10)*4/2?
-1/2
92/(-138)*(2 - -4)
-4
What is the value of (-30)/150*-5*1/4?
1/4
Calculate (-2)/4*(-244)/(-793).
-2/13
What is ((-222)/444)/(2 - (-27)/(-14))?
-7
What is the value of 20/(-165) - (-1 + (-1)/(-3))?
6/11
Calculate 24/(-132) + 2*(-9)/264.
-1/4
Calculate (-16)/44 - (-470)/385.
6/7
What is the value of 1/4 - (2 - (-25)/(-10))?
3/4
Evaluate 13 - -4*6/(-4).
7
Evaluate (-3)/7 + 771/231 - 3.
-1/11
Evaluate (-2 - 0)*(-10)/((-1200)/36).
-3/5
What is the value of (4/(-6))/(60/18*-1)?
1/5
What is 38/(-57)*6/14?
-2/7
20/240*6*2/1
1
What is (-30)/(-27) - (-154)/(-90)?
-3/5
What is 306/408*20/3?
5
(-33)/(-45) - (-12)/(-30)
1/3
Evaluate (-4*6/(-40))/(2 + -1).
3/5
What is the value of (-22)/110*10/(-26)?
1/13
Evaluate (3 - 1)/(4 - (0 + 9)).
-2/5
What is the value of 74/(-9) + (-19)/(171/(-2))?
-8
25/(-5)*(2/2 - 2)
5
Calculate 92/(-16) - 3/(-4).
-5
8 + ((-665)/75 - -1)
2/15
Calculate ((-3)/15)/(18/(-60)).
2/3
What is ((-29)/(19140/80))/((-6)/11)?
2/9
What is the value of ((-2)/6)/(74/36 + -2)?
-6
Calculate (236/(-354))/(-1*1/(-3)).
-2
What is the value of (-1)/((-3)/63*-7)?
-3
What is (5/45)/(12/180)?
5/3
What is the value of ((-1)/(-10))/((-26)/65)?
-1/4
What is the value of 3/(-9)*-6*2?
4
What is the value of 129/210*1 + (-14)/(-140)?
5/7
((1275/(-34))/(-25))/(6/(-40))
-10
What is 33*3/(-9) + 4?
-7
Calculate ((-48)/280)/(6/(-20)).
4/7
Evaluate ((-22)/11)/(2 - -5).
-2/7
What is the value of (((-42)/18)/(-7))/(3/54)?
6
What is the value of 2/(4*6/(-36))?
-3
What is ((-16)/(-12))/(2/(-3))?
-2
(5/(-2) + 2)/((-90)/(-1260))
-7
What is the value of ((-3)/2 + 0)*16/(-204)?
2/17
Calculate (-7)/3 - (-12 - -9).
2/3
-4 + 4 + -3 + -1
-4
Calculate 0 + (8/2 - -2) - 11.
-5
Evaluate -1 + -2 + (-40)/(-16).
-1/2
Calculate 1 + -4 + 2 + 51/17.
2
What is the value of ((-5)/((-15)/9))/1?
3
(-8)/(-30) + (-94)/(-235)
2/3
What is (7 + 3)*(-7)/((-525)/(-6))?
-4/5
What is the value of (45/(-6))/(-5) - (-21)/(-14)?
0
Evaluate -6 - (2 + -7 + 2 + -1).
-2
Calculate (-4)/(-10)*(10 - 11).
-2/5
What is the value of (-36)/90*1/(-3)?
2/15
((-23)/621)/(1/12)
-4/9
Calculate -1 - 238/(-105) - 2/3.
3/5
Evaluate 216/270*(-1)/(-2).
2/5
Evaluate (465/310)/((-9)/(-2)).
1/3
Calculate 3*(-5)/270*3.
-1/6
Evaluate 4/11 - (-2680)/(-6160).
-1/14
Calculate 12/8*(-8)/(-3).
4
Calculate (-3)/(-8)*(6 + (-256)/48).
1/4
Calculate ((-10)/25)/(3 + 54/(-15)).
2/3
What is ((-4)/126)/((-15)/135)?
2/7
What is the value of -5 - (8/(-80))/(8/420)?
1/4
Evaluate (4/(-10))/(24/(-100)).
5/3
What is -5 - 246/(-42) - 1?
-1/7
Calculate (-7)/4 - 9/36.
-2
(-4*(-9)/(-120))/(6/(-10))
1/2
1*(6 + (-8 - 1))
-3
(-68)/(-170) - 13/45
1/9
What is the value of ((-136)/(-16))/17*-2*4?
-4
What is (-15)/10 + 20/8?
1
What is the value of (-48 - -42)/(42/4 - 0)?
-4/7
What is (-10)/(-2)*((-90)/(-25) - 3)?
3
Evaluate (-62)/(-12) - 7/42.
5
Evaluate (-168)/63*3/(-2).
4
What is the value of 4/10*(-25)/(-20)?
1/2
Calculate (-1)/(-4)*(-27)/(297/8).
-2/11
What is ((-7)/2)/(-7)*-6?
-3
Calculate ((-60)/210)/(((-3)/7)/(-1)).
-2/3
268/66 - 16/264
4
Evaluate 14/(-98)*(0 + -1).
1/7
Evaluate (-4)/(-6)*60/(-100).
-2/5
-3*(-9 + 1610/180)
1/6
What is ((-2)/7)/(9/18)?
-4/7
What is the value of (9/144*-2)/((-6)/(-8))?
-1/6
What is 2/(-10)*((-175)/20)/(-7)?
-1/4
What is the value of (-97)/(-485) + 38/10?
4
Evaluate (-36)/8*2*3/9.
-3
(-2)/(-8)*(29 + -30)
-1/4
((-27)/(-90))/((-12)/16)
-2/5
What is the value of (-1 - (-26)/14)/(39 - 41)?
-3/7
What is (20/25)/(30/(-25))?
-2/3
((-6)/64)/(2 + (-45)/20)
3/8
Evaluate (1 - (-4)/(-30)*5)*-6.
-2
Calculate ((-2)/(-6))/(13/1170*6).
5
Calculate (9*(-8)/36)/((-2)/8).
8
What is 1*(-4)/(-16)*12 - 12?
-9
-3*((-3 - 4) + 6)
3
What is the value of 310/186 + (-3)/9*17?
-4
Evaluate 26/4 - 6 - 26/4.
-6
What is the value of 12/16 + 1/4?
1
What is the value of (2 - 1) + (0 + -2 - -2)?
1
(13 + -12)*(-1)/2
-1/2
Calculate ((-4)/(-3) - 2)/(7/42).
-4
(-3 - 208/(-36)) + (-6)/(-27)
3
7 + (-156)/20 - -1
1/5
What is 2 + -1 + -5 + -5 + 11?
2
What is the value of ((-1)/(-14))/(0 - (-1)/2)?
1/7
Calculate (-1456)/(-130) + -10 + 0.
6/5
What is the value of -5*(15 - 12)*(-1)/(-3)?
-5
Calculate -4*27/(-18) - 10.
-4
90/225 - 36/165
2/11
What is the value of (-12)/30 - (-16)/(-90)*-1?
-2/9
(-374)/(-99) - 4 - 76/(-18)
4
What is the value of ((-6)/(-4))/((-84)/(-7) - 9)?
1/2
What is the value of (0 - (-6)/9)*-3?
-2
(17 + -18)/((-1)/2)
2
(-280)/(-24) + -11 + (-5)/3
-1
What is the value of (-38 - -40)/((-16)/42) - -5?
-1/4
Evaluate (((-2)/6)/(24/(-108)))/(-9).
-1/6
What is the value of 176/(-340) - 1*(-6)/15?
-2/17
What is -1 - 2*(-88)/144?
2/9
What is (-2)/(-8) - 2/216*3?
2/9
Evaluate 1/3*(5 - 1).
4/3
Evaluate 1 - ((-12)/(-42) - 32/14).
3
Calculate 12/(-8) + -1 + 4.
3/2
What is the value of (-216)/21 - (11 + -21)?
-2/7
Calculate (-2 + -4 + -2 - -3) + 1.
-4
What is (5 + -1)/((5 - 35)/(-6))?
4/5
What is 35/(-14) - (3/2 + -3)?
-1
Evaluate (896/24)/7 + -5.
1/3
What is (-1 - (-8)/2)/((-51)/(-85))?
5
What is (-12)/(-8)*(-3 - (-55)/(-15))?
-10
Evaluate (-16)/24 - (-1 + (-14)/(-6)).
-2
What is (5 - (-8 + 5)) + (-2 - 2)?
4
((-3)/18)/((-6)/(-8))
-2/9
Calculate (6/(-4))/(1 + 4/(-10)).
-5/2
Evaluate (-1)/((108/9)/(-4)).
1/3
What is the value of (30/(-21))/((-12)/7)?
5/6
(7 - 3) + 26/(-6)
-1/3
What is the value of 15/18*24/30?
2/3
Calculate (-1782)/(-567) - (-12)/14.
4
(-78)/52 + 60/(-8)
-9
20/60*12 - 2*-1
6
Evaluate (1 + 0)/((-1)/5).
-5
Calculate (-2 - -2) + (-8 - -7 - -5).
4
What is (1 - 5) + 86*(-10)/(-220)?
-1/11
Calculate (-6)/4*(13 + (-623)/49).
-3/7
What is the value of 7 + (-7 - (5 - (-96)/(-20)))?
-1/5
3 + (-1 - 3 - -4)/(-1)
3
-2 - 3*((-3)/9 + 0)
-1
Evaluate (-2)/((-3)/(-9)*(0 + 6)).
-1
Calculate (22/264)/((-2)/(-18)).
3/4
105/10*-1*8/(-14)
6
262/(-30) + 8 + 2/6
-2/5
What is the value of 15/10 - (-261)/(-126)?
-4/7
4 - (-8)/(240/5)*-15
3/2
What is -20*(-7)/84*(-12)/(-50)?
2/5
Calculate 19/(2470/40)*(-1)/(-2).
2/13
Calculate 26/(-6) + (-9)/(-27).
-4
(-14)/(-77) + (40/22 - -2)
4
What is (2 - 2)*(-10)/30?
0
What is the value of 1*(-8 + (-6)/(-18)*15)?
-3
Evaluate 3/2*4/(-51).
-2/17
Evaluate -2*(-5)/4*(-3024)/(-1260).
6
(-4)/14 + (-44)/385*-6
2/5
3 + (-105)/33 - (-78)/(-660)
-3/10
Calculate 4/(-4) - (-18)/(-12).
-5/2
(-9 - -6 - -6) + -2
1
What is (-13)/(-9) + ((-46)/(-18) - 3)?
1
Calculate 35/(-150) - (-5)/(-30).
-2/5
Calculate (-1 + 8)*(-8)/(-14).
4
What is -1 + (0 - -5) - 0/(-4)?
4
11/(-40) - (-4)/10
1/8
Evaluate 33/6*(-3)/(-11).
3/2
Calculate (-3 - -2)/(1/5).
-5
What is -3*(-9 - (-84)/9)?
-1
Calculate (-16)/6*-6*(-5)/(-20).
4
What is the value of ((-144)/(-32))/(12/16)?
6
Calculate -1*1*(105 + -105).
0
What is the value of 3/9*(-27)/(-15)?
3/5
What is the value of (-1 + (-1)/5)/(33/220)?
-8
What is ((-1)/2)/((-10)/120*2)?
3
What is the value of (-26 + 29)/((-6)/(-4))?
2
((-44)/132)/(4/3)
-1/4
What is the value of ((-3)/(-18)*-2)/(2/(-30))?
5
Evaluate ((-1)/10)/((-2)/(-4)).
-1/5
(-7)/(-5) + -1 + 0
2/5
Calculate ((-3)/2 - (-309)/210)*-5.
1/7
Calculate (4/16)/((-15)/20 - -2).
1/5
(-5)/(-75)*5*-2
-2/3
What is the value of 6/(-36) - (-10)/(-120)?
-1/4
What is the value of (1/1)/(3/15)?
5
What is 4 + 28*21/(-154)?
2/11
Calculate ((-2)/(-3))/(-21 - -22).
2/3
What is (-1)/((-7 - -5) + 1)?
1
What is (-2)/21*(-114)/(-76)?
-1/7
(-25)/40*(8/(-10) + 1)
-1/8
What is 8 + 328/(-48) - (-5)/(-10)?
2/3
Evaluate ((-9)/45*8)/((-2)/5).
4
What is ((-2)/52)/(11/(-44))?
2/13
Evaluate 6/(-27)*(-22)/44.
1/9
What is the value of 2/(-4) - 115/(-138)?
1/3
Calculate (0/(-10 - -3))/(1 - -2).
0
(952/16)/(-17)*(-5 + 3)
7
Evaluate ((-48)/128)/(2/8).
-3/2
(-3)/(-12) - 10/8
-1
What is 1/((-18)/(-117) - (-70)/52)?
2/3
(1/4)/(20/(-16))
-1/5
Evaluate (((-2)/10)/(-1))/(3/(-6)).
-2/5
What is the value of -5*(-7)/105 - 10/(-6)?
2
Evaluate 24/26 + 210/2730.
1
Evaluate 6/40*-4 - (-23)/55.
-2/11
What is -4 - (3 - (0 - -4))?
-3
Evaluate 47/7 + 2 + 48/(-28).
7
What is 4/16 - (-1)/(-4)?
0
Calculate 2 + -3*(-10)/(-18).
1/3
What is (27/(-3) - -5)/2?
-2
Evaluate (-2)/18 + 636/(-108).
-6
27/27*0/6
0
What is the value of 2 - (-6 - (-119)/7)?
-9
Evaluate 1/(-3)*(-18)/(-30).
-1/
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l be s(-3). Let v = l - 93. Calculate the greatest common factor of v and 18.
9
Let c(o) = o**3 + 20*o**2 - 27*o + 101. Let g be c(-18). What is the highest common divisor of g and 190?
95
Suppose 2*g - 29 = -4*w + 31, 5*w - 5 = 0. Let y = 9 - 24. Let b = g + y. Calculate the greatest common factor of b and 39.
13
Let j = 0 - -9. Suppose -3*u + 0*u + j = 0. Let f be 10/(u/((-33)/(-2))). What is the highest common divisor of 5 and f?
5
Let k(r) = 1276*r + 9 - 1276*r - r**2. Let b be k(0). Calculate the highest common divisor of b and 27.
9
Suppose 5 = -5*i - 25. Let s = i + 28. What is the greatest common divisor of s and 33?
11
Let o be 461 - (-3 + (1 - -3)). Let m be 1/(-2) - o/(-8). Let d be m + -3 + (2 - -4). What is the greatest common divisor of 12 and d?
12
Suppose -k - 154 = o - 3*o, 0 = -2*k - o - 308. Let m be (-2)/14 + (-24046)/k. What is the greatest common factor of m and 12?
12
Let c be (0 - 3 - -4)*(-1 - -4). Suppose 5*h + c*o = 327 + 223, -o = -5*h + 550. Calculate the greatest common divisor of h and 10.
10
Let v be (-1)/(((-21)/14)/(-3)) - -29. Let i(m) = m**3 + 3*m**2 - m. Let p be i(4). Calculate the highest common divisor of v and p.
27
Suppose 2*b = -3*c + 7, -5*b + 2*c + 6 = -2*c. Suppose b = 10*q - 28. Calculate the highest common divisor of q and 33.
3
Let y = -22 + 16. Let b be (8/5)/(y/(-15)). Suppose b*r - 57 = -17. What is the highest common divisor of r and 80?
10
Suppose 12 - 7 = d. Suppose 4*x = -h - x - 4, -d*x = 3*h - 28. What is the highest common divisor of 40 and h?
8
Let g = 44 - 38. Let q(b) = b**2 + 11*b - 2. Let a be q(g). Calculate the highest common divisor of a and 10.
10
Let g = 349 - 319. What is the highest common factor of g and 12?
6
Let i(o) = 67*o + 18. Let q be i(-5). Let x = 445 + q. Calculate the greatest common divisor of 32 and x.
32
Let a = -8 - -11. Suppose t - 106 = -a*n, 2*n - 5*t - 61 = 21. Calculate the highest common factor of n and 36.
36
Let l be 96/6 - (1 - 1). Let j(g) = -g**2 - 9*g + 26. Let k be j(-11). Calculate the greatest common factor of k and l.
4
Let y(d) = -d**2 - 9*d - 4. Let w be y(-8). Suppose w*m = m. Let t be (m - 0) + 35/5. What is the greatest common divisor of 35 and t?
7
Suppose -184 = -6*z + 2. Let j be -1 + 0 - (-27)/1. Suppose -z = -f + j. What is the greatest common divisor of 38 and f?
19
Let b be (-92)/(-23) - (0/(-2) - -1). Suppose 2 = -b*h + 14. Suppose -2*k + 10 = 4*v - 2*v, -4*k - 10 = -v. Calculate the highest common divisor of h and v.
2
Let d(a) = -a**2 - 14*a - 10. Let v be d(-13). Let o be (20/12 - -1)*v. Calculate the highest common factor of 56 and o.
8
Let d = 26 + -12. Suppose i + d*i - 165 = 0. What is the highest common divisor of 11 and i?
11
Let q(x) = 2*x**3 + 2*x**2 + 4*x + 2. Let l be q(-2). Let t be 7/(l/4) + 29. Let r = -15 + t. What is the greatest common divisor of 6 and r?
6
Let i be 9432/8 + -1 + 7. Calculate the greatest common divisor of 79 and i.
79
Let l be 4/(-1) - 18/6. Let u(h) = 4*h**2 + 8*h + 4. Let v be u(l). What is the greatest common divisor of v and 16?
16
Suppose 6*b - 125 = 49. Suppose 0 = -5*z + b - 4. Let r be 4/2 + 2 + 1. Calculate the greatest common divisor of r and z.
5
Let r(f) = -f**3 + 26*f**2 - 20*f - 120. Let d be r(25). Calculate the greatest common factor of 80 and d.
5
Let i = 1 + -1. Suppose 4*g - 5*a - 45 = i, -g + 3*g + 4*a = -10. Suppose 7 = g*v - 43. What is the greatest common factor of v and 2?
2
Suppose -79 = -4*t + 5*h, 12 = 6*h - 10*h. What is the greatest common divisor of 6 and t?
2
Let x(r) be the second derivative of r**4/12 - 3*r**3 - 13*r**2/2 - 25*r. Let z be x(19). What is the highest common divisor of z and 3?
3
Let y = 2 + 10. Suppose 11*t - y = 8*t. Suppose j + 4*j = 5. What is the highest common divisor of j and t?
1
Suppose 748 = 12*x - 2324. Calculate the greatest common divisor of x and 176.
16
Let s = 2857 + -2854. Calculate the highest common divisor of 219 and s.
3
Let i = 76 + -50. Suppose 4*w = 7*w - 117. Calculate the highest common factor of i and w.
13
Let v(m) = -m**3 - 10*m**2 - 5*m - 1. Let l be v(-10). Suppose 0 = 2*g + p - l, -42 = -2*g + p + 17. What is the greatest common divisor of 108 and g?
27
Let h = 3703 - 1841. What is the greatest common divisor of 98 and h?
98
Suppose -78 = -6*d - 42. Suppose -3*x + 21 = 3*r, 5*r = 5*x - 7*x + 23. Calculate the highest common factor of x and d.
2
Suppose 97*q + 336 = 111*q. What is the greatest common factor of 192 and q?
24
Let w = 11 - -10. Let n(c) = c**3 + 5*c**2 + 2*c - 3. Let h be n(-5). Let s = w + h. Calculate the greatest common divisor of 8 and s.
8
Let n = 5 - 1. Suppose -2*z + 3*r + 18 + 3 = 0, -4*r = -n*z + 44. Suppose 17*s = -15*s + 2688. Calculate the greatest common divisor of z and s.
12
Let v(b) = 271*b - 1. Let c be v(1). Let t be (-1)/1 - c/(-15). What is the greatest common factor of 272 and t?
17
Suppose 3*s + 360 = 3*d, 3*d + 0*s - 2*s = 357. Let g = -3 + 22. Suppose -3*t + 55 = -4*b, -g = -3*t - 0*t - 5*b. What is the greatest common factor of d and t?
13
Let z(d) = -2*d**2 - 11*d - 7. Let m be z(-4). Suppose -m*u + 4 = -3*o, -5*u + 2 = -3*o - u. Calculate the highest common factor of o and 2.
2
Let s be 3 - (-3)/((-9)/6). Let v(w) = 34*w. Let d be v(s). Let p = d + 8. What is the highest common divisor of 6 and p?
6
Let i(h) = 12*h**2 - 2*h**2 + h**2. Let u be (-2)/1 + (1 - 1). Let f be i(u). Calculate the greatest common divisor of 4 and f.
4
Let k be 4/(-3 + (-2)/(-1)). Let f = -3 + 5. Let o be (k/2)/(f/(-10)). Calculate the highest common factor of 90 and o.
10
Suppose -5*y = -5, y + 4*y = -2*f + 101. Let r = -44 + f. Calculate the greatest common divisor of r and 2.
2
Let x = 29 + -19. Let y = -73 - -52. Let t = 9 - y. What is the highest common divisor of t and x?
10
Suppose 11*l - 9*l - 74 = 4*r, -3*l + 5*r + 113 = 0. What is the highest common divisor of 1025 and l?
41
Let o(a) = -a**2 + 8*a - 7. Let h be o(5). Suppose -u = 3*u - h. What is the greatest common factor of u and 14?
2
Let i(z) = z**3 + z**2 - 3*z + 3. Let w be i(3). Let b be (-6 + 5 + 0)/(2/(-90)). Calculate the greatest common factor of b and w.
15
Let a be 2/4*22 - -2. Suppose -2*f = -3*f - 3. Let w(i) = -18*i - 2. Let v be w(f). Calculate the greatest common factor of v and a.
13
Let d be (14/(-4))/((-1)/(-2)). Let f = 11 + d. Let b be (-2)/7 - (-994)/49. Calculate the highest common factor of b and f.
4
Let t(q) = -q**2 - 18*q + 47. Let f be t(-20). Calculate the greatest common factor of f and 259.
7
Let d(y) = 159*y + 32. Let w be d(2). What is the greatest common divisor of w and 100?
50
Suppose 5*r - 91 = -4*f, 0 = -3*r - r - 4*f + 72. Let w(p) = p**3 - 6*p**2 + 12*p + 3. Let z be w(4). Calculate the greatest common divisor of r and z.
19
Let c(u) = 3*u**3 - 8*u**2 + u - 36. Let w be c(4). What is the highest common factor of 1952 and w?
32
Let t be (-3)/(-15) - (-3893)/85. Suppose 3*h - 468 = -h + 2*p, 2*h - 238 = 2*p. What is the highest common divisor of t and h?
23
Let h(m) = -17*m - 71. Let s be h(-8). Calculate the highest common divisor of s and 10.
5
Let a = 14 + -7. Suppose -14 = -2*s - 2*r, 4*s + 2*r = 13 + a. Suppose 0 = s*f - 5*l - 3, -5 + 2 = -3*f + 2*l. Calculate the highest common factor of f and 9.
1
Let c be (-10)/15 + (-14)/(-3). Let m(t) = -8*t + 60. Let i be m(7). What is the highest common factor of c and i?
4
Suppose 2*q - 7*q + 10 = 0. Suppose 0 = q*i - 54 - 14. What is the greatest common divisor of i and 85?
17
Let x be (2 - 113)*(-197)/591. Suppose -4*l + 1665 = l. What is the greatest common factor of x and l?
37
Let v be 0/1*(-2)/4. Suppose v = 138*f - 141*f + 294. What is the greatest common factor of 7 and f?
7
Let q = 50 - 20. Let l be (-37 + 1)*(-20)/q. Let x = -3 + 15. Calculate the highest common divisor of x and l.
12
Let t be 1 - -4 - (-15 + 16). Let y be 98/(t - 3) + -2. Let i = -12 - -28. Calculate the highest common factor of y and i.
16
Let x = -250 - -324. Calculate the highest common factor of x and 4.
2
Suppose 3*s = 5*s + 2*h - 108, h + 201 = 4*s. Suppose l + 2*k = 33, 0 = 4*l + 3*k - 86 - s. What is the highest common factor of l and 35?
35
Suppose 2*b - 2*p - 78 = 3*p, 0 = -b + 5*p + 44. Suppose -116 = -10*t + b. What is the highest common factor of 15 and t?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
e there in three tenths of a millennium?
30
What is fourty-two fifths of a kilometer in meters?
8400
What is 9/10 of a centimeter in micrometers?
9000
What is 21.095928 months in centuries?
0.01757994
What is seven quarters of a decade in months?
210
How many minutes are there in 10/3 of a day?
4800
What is 74/5 of a century in decades?
148
How many months are there in one quarter of a century?
300
How many milliseconds are there in thirty-seven halves of a second?
18500
What is 17/4 of a tonne in kilograms?
4250
What is 335.5944l in millilitres?
335594.4
What is one twentieth of a meter in micrometers?
50000
How many millilitres are there in fourty-five quarters of a litre?
11250
How many minutes are there in 10/3 of a day?
4800
Convert 7081.328l to millilitres.
7081328
What is 727.2939 litres in millilitres?
727293.9
How many years are there in twenty-one quarters of a millennium?
5250
Convert 0.0802462 millilitres to litres.
0.0000802462
What is one fifth of a centimeter in millimeters?
2
How many litres are there in 8878.625 millilitres?
8.878625
How many months are there in four thirds of a decade?
160
What is 1/4 of a week in minutes?
2520
How many micrometers are there in fourty-four fifths of a centimeter?
88000
What is 35900.55 weeks in microseconds?
21712652640000000
What is twenty-seven fifths of a century in months?
6480
Convert 344.7821 decades to millennia.
3.447821
How many minutes are there in 574456.3 hours?
34467378
How many milliseconds are there in seven halves of a second?
3500
How many millilitres are there in fifty-five quarters of a litre?
13750
Convert 3895.094 litres to millilitres.
3895094
How many grams are there in 52/5 of a kilogram?
10400
How many micrograms are there in six fifths of a milligram?
1200
How many months are there in twenty-five quarters of a year?
75
Convert 2448.588nm to centimeters.
0.0002448588
What is 1/24 of a decade in months?
5
How many centimeters are there in 3/25 of a meter?
12
What is 5/6 of a decade in months?
100
How many litres are there in 0.7958922ml?
0.0007958922
How many nanometers are there in 1/5 of a micrometer?
200
How many meters are there in 482.1573km?
482157.3
What is eleven halves of a litre in millilitres?
5500
How many millilitres are there in 43/4 of a litre?
10750
How many decades are there in 2840320.2 months?
23669.335
What is 545.3957 micrometers in centimeters?
0.05453957
How many millilitres are there in one quarter of a litre?
250
What is 5/8 of a microgram in nanograms?
625
How many litres are there in 48410.24ml?
48.41024
What is 8/3 of a year in months?
32
What is 0.7959891 milligrams in tonnes?
0.0000000007959891
Convert 13091.055 months to decades.
109.092125
How many decades are there in seventy-nine halves of a century?
395
Convert 4052903.4 minutes to days.
2814.51625
How many litres are there in 6916.895ml?
6.916895
How many nanograms are there in 1/5 of a microgram?
200
Convert 0.657095 millilitres to litres.
0.000657095
What is 5.701463 litres in millilitres?
5701.463
How many centimeters are there in one quarter of a meter?
25
How many kilograms are there in 541.7343 milligrams?
0.0005417343
What is 8775.353 centuries in years?
877535.3
How many micrometers are there in twenty-five halves of a millimeter?
12500
What is 0.6939816 years in centuries?
0.006939816
How many months are there in 36931.32 decades?
4431758.4
How many millilitres are there in twenty-five eighths of a litre?
3125
How many milliseconds are there in 18742.29 minutes?
1124537400
How many years are there in seventy-one fifths of a decade?
142
What is 7.525186cm in nanometers?
75251860
Convert 0.7319021ml to litres.
0.0007319021
What is 300154.3 weeks in seconds?
181533320640
Convert 0.4280455 hours to milliseconds.
1540963.8
How many minutes are there in 1415.9745s?
23.599575
How many minutes are there in 3/10 of a week?
3024
What is seven halves of a millimeter in micrometers?
3500
How many minutes are there in 1/4 of a week?
2520
How many kilograms are there in six fifths of a tonne?
1200
How many nanograms are there in seventy-three fifths of a microgram?
14600
How many months are there in six fifths of a decade?
144
How many millimeters are there in 13/4 of a meter?
3250
What is 17/2 of a millennium in decades?
850
How many months are there in 45/2 of a decade?
2700
Convert 50.66986 millennia to centuries.
506.6986
How many minutes are there in 851.3179 hours?
51079.074
What is 1600.043 millennia in years?
1600043
What is 5/8 of a day in seconds?
54000
Convert 0.0665996 weeks to microseconds.
40279438080
What is 0.1340952 months in decades?
0.00111746
What is 160.122555ns in days?
0.0000000000018532703125
What is 0.3527563 weeks in seconds?
213347.01024
How many millilitres are there in 85.2041l?
85204.1
What is four thirds of a hour in seconds?
4800
How many millilitres are there in one fifth of a litre?
200
Convert 4.662539mg to nanograms.
4662539
How many millilitres are there in 61352.25l?
61352250
What is thirteen quarters of a litre in millilitres?
3250
What is nine tenths of a milligram in micrograms?
900
What is 439.643 litres in millilitres?
439643
How many millilitres are there in 3.400917l?
3400.917
Convert 81328.9t to micrograms.
81328900000000000
Convert 88.16285t to nanograms.
88162850000000000
Convert 9.18354 centuries to millennia.
0.918354
How many hours are there in 499396.5 microseconds?
0.00013872125
How many tonnes are there in 50.18016 kilograms?
0.05018016
Convert 447048.4 nanograms to micrograms.
447.0484
What is 3/5 of a gram in milligrams?
600
What is 251269.2 grams in micrograms?
251269200000
What is 74554.37 millilitres in litres?
74.55437
What is 44/5 of a second in milliseconds?
8800
How many millilitres are there in 92351.26 litres?
92351260
How many micrograms are there in 71.10883kg?
71108830000
How many minutes are there in two ninths of a week?
2240
Convert 73.96682g to kilograms.
0.07396682
How many millilitres are there in thirty-three fifths of a litre?
6600
How many millilitres are there in twenty-one fifths of a litre?
4200
How many millilitres are there in 18355.93l?
18355930
What is 97114.76 hours in milliseconds?
349613136000
What is 3/50 of a milligram in nanograms?
60000
How many nanoseconds are there in one sixteenth of a millisecond?
62500
What is 8.42725 millimeters in kilometers?
0.00000842725
How many months are there in 1/5 of a decade?
24
What is 25/4 of a kilometer in meters?
6250
What is 4.816193ug in nanograms?
4816.193
What is twenty-one eighths of a millennium in months?
31500
What is 0.264515 nanograms in micrograms?
0.000264515
Convert 63547.407 minutes to days.
44.13014375
Convert 625.8629 days to microseconds.
54074554560000
Convert 7.232654 hours to microseconds.
26037554400
What is 1/5 of a microsecond in nanoseconds?
200
How many millimeters are there in 48/5 of a meter?
9600
Convert 97.21133cm to micrometers.
972113.3
What is 1/5 of a week in minutes?
2016
What is 11/8 of a century in months?
1650
What is 0.6467993m in centimeters?
64.67993
How many millimeters are there in 71/4 of a meter?
17750
How many decades are there in 775755.9 centuries?
7757559
Convert 772627.2 millimeters to meters.
772.6272
What is thirty-one fifths of a litre in millilitres?
6200
How many months are there in one tenth of a century?
120
What is twenty-seven fifths of a litre in millilitres?
5400
What is one quarter of a kilogram in grams?
250
How many millilitres are there in five eighths of a litre?
625
Convert 545.7682ml to litres.
0.5457682
How many grams are there in 1/5 of a kilogram?
200
What is 33/5 of a microsecond in nanoseconds?
6600
Convert 3120.63 micrometers to millimeters.
3.12063
How many kilometers are there in 2.859981nm?
0.000000000002859981
What is 18/5 of a litre in millilitres?
3600
How many millennia are there in 20305.12 decades?
203.0512
What is nineteen quarters of a micrometer in nanometers?
4750
How many milligrams are there in 600.2428 tonnes?
600242800000
What is 13/4 of a millimeter in micrometers?
3250
What is 11/2 of a centimeter in micrometers?
55000
How many years are there in 12/25 of a millennium?
480
What is 3/5 of a decade in years?
6
What is nineteen quarters of a centimeter in micrometers?
47
|
{
"pile_set_name": "DM Mathematics"
}
|
-p**3 - 16*p**2 - p + 16. Let d be v(-16). Suppose 61*q = 65*q - d. Solve -q = -2*b + 6*b for b.
-2
Let y = -110 - -110. Suppose 92*j - 91*j - 5 = y. Solve 2*q + j = -5 for q.
-5
Let h(r) = r**3 + 10*r**2 + 11*r + 22. Let l be h(-9). Let k(g) = -g - 4. Let f be k(-5). Solve -l*n + 21 = f for n.
5
Let g(d) = d**3 + 9*d**2 + 12*d - 3. Let p be g(-6). Solve p*x - 3 = 32*x for x.
3
Let f(l) = l**2 + 18*l + 52. Let a be f(-15). Solve 3 - a = 4*p for p.
-1
Let b(w) = -2*w**2 + 22*w + 1. Let g be b(11). Let q be (4 - 5)/g*0. Solve -i = -q*i for i.
0
Let s = -82 - -125. Suppose 93 = -6*k + k - 4*t, 4*t = 3*k + s. Let q = -13 - k. Solve -q*w - 6 = -2 for w.
-1
Suppose 4*z + 54 = 4*l + 2*z, l - 3 = 4*z. Solve -33 = -l*k + 12 for k.
3
Suppose 5*h - 161 + 11 = 5*k, 115 = 3*h + 2*k. Solve h*m = 32*m + 12 for m.
4
Suppose 0*r = 3*r. Suppose r = b - 5*b. Solve 2*s + b*s = 0 for s.
0
Let y = 16 + -14. Suppose 0 = y*h - 34 + 6. Suppose 16*l - 30 = h*l. Solve -4*r - l = r for r.
-3
Let s(x) = x + 11 + 9*x + 0*x - 7*x. Let n be s(-3). Solve b = -n*b - 15 for b.
-5
Suppose 5*l + t - 94 = 0, -2*l - 5*t - 4 = -37. Let k = 37 - l. Suppose -6 + k = v. Solve -3*i - i + v = 0 for i.
3
Let r be ((-2)/(-4))/((-10)/(-80)). Let n = -25 + 41. Suppose -r*c = 3*j - n, -4 = -c + 4*j - 0. Solve 8 + 0 = c*s for s.
2
Suppose w = 4 + 12. Let l be (2/4)/(w/(-32)). Let a be 3 - (l/(-1) - -2). Solve a = -f + 3*f - 4 for f.
2
Let p(c) = -c**2 - 12*c + 6. Let y be p(0). Solve -y*d = -9*d + 12 for d.
4
Let b be (2/4)/((-6)/(-1692))*-1. Let w = 147 + b. Solve 0 = -2*o + w*o for o.
0
Suppose -3*l - c = 7, -5*l = -5*c - 16 + 41. Let o be l/12*2*36/(-6). Solve 2 = -o*u - 4 for u.
-2
Let s = -22 + 25. Suppose -4*w - 3*d + 1 = 0, 2*w - w - 5*d - 6 = 0. Let o be w/(-2) - 5/(-2). Solve 9 - s = -o*t for t.
-3
Suppose k + 14 = -2*l + 3, 2*k + 42 = l. Let n be (-496)/24 - (-2)/(-6). Let q = k - n. Solve -q*t = -t + 3 for t.
-3
Let x be (-40)/(-30)*3/(-6)*-39. Suppose -3*o = -r + x, -7*o = -2*r - 3*o + 44. Solve -r = 4*p - 6 for p.
-2
Let a be 56/32 + 1/4. Let c(v) = 3*v**2 + 2*v - 2. Suppose 4 - 1 = 3*o. Let i be c(o). Solve -i*f = -7 - a for f.
3
Let t(o) = -2*o - 3. Let i be t(-3). Solve j + i = 4*j for j.
1
Suppose -4*c + 8*c - 8 = 0. Suppose -3*i = -8*i + 10. Let m be i/(0 + c/3). Solve m*k = -k for k.
0
Suppose -7*r + 2*r + 95 = 5*n, -5*n + 2*r = -130. Let v = n + -4. Let m be (-1)/(1/(-4)) + -2. Solve 2*z - v = -m*z for z.
5
Suppose -4*a + 5*r = -3*a + 12, -3*r = 5*a - 24. Let i(u) = -4*u - 137. Let b be i(-35). Solve b*w - a = 6 for w.
3
Let f = 76 - 117. Let c = f - -36. Let i = 5 + c. Solve 4*y + i = -20 for y.
-5
Suppose 7*v - 1 - 27 = 0. Suppose 2 = -v*z + s + 15, -6 = -3*z - 3*s. Let n be (-12)/10*15/(-6). Solve 2*d - z = n*d for d.
-3
Let t = 51 + 41. Let w be t/5 - 24/60. Solve 5*l = -w + 3 for l.
-3
Suppose 4*l - 3*c = 29, -2*l - c + 17 = -0*c. Solve -3*w - 1 = l for w.
-3
Let q be 6/9 - (-50)/(-3). Let m = 10 + q. Let n = m + 10. Solve n*o + o = -15 for o.
-3
Let j(l) = -l**3 - 11*l**2 + 2*l + 25. Let n be j(-11). Let t be 14*((-3)/(-12))/(n/6). Solve -3*c = -t*c for c.
0
Suppose -2*x + 71*j = 70*j - 14, 2*j + 18 = 2*x. Solve 0 = x*b + 25 - 35 for b.
2
Let p = 34 - 33. Suppose 0 = 2*w - 0*w - 8. Let a be 0/p + 12/w. Solve -a*z + 20 = z for z.
5
Let y(r) be the second derivative of -r**5/20 + 5*r**4/6 - 3*r**3/2 + 5*r**2 - 6*r. Let k(w) = 9*w. Let q be k(1). Let h be y(q). Solve -4*c + 2 = h for c.
-2
Let j = -8 - -16. Let n = j - -2. Let g = n + -6. Solve g*y = 5*y - 5 for y.
5
Let u be ((-4)/40*-5)/(2/8). Solve 15 = u*f + f for f.
5
Let n be 340/(-204)*18/(-10). Solve s + n - 8 = 0 for s.
5
Let l = 166 + -90. Let a = l + -72. Solve a*g = g for g.
0
Let m(a) = -a - 1. Let t(x) = x**2 - 5*x + 6. Let s(y) = y - 5. Let i be s(7). Let g(b) = i*m(b) + t(b). Let j be g(7). Solve k + 1 = -j for k.
-5
Let d be ((-6)/5 + -2)/(4/(-10)). Solve -4*q - 4 = d for q.
-3
Suppose -72*p + 89*p - 102 = 0. Let b be (-1 - -1)/(2 + -1). Solve 4*z + 14 + p = b for z.
-5
Let b be 24/32 + 37/4 + 4. Solve -13*f + 6*f = b for f.
-2
Let p(s) = 1 - 2*s**2 + 4*s**2 - 2*s + 1 + 2*s**2. Let f be p(1). Solve 2*c = 4*c + f for c.
-2
Suppose 0 = 4*t + 27 + 13. Let p be (t*(-3)/(-6))/(-1). Solve p*d + 10 = -0 for d.
-2
Let v = -1215 + 1242. Solve 20*j = -33 - v for j.
-3
Let d = -53 + 38. Let p = 15 + d. Suppose -8 = -3*m + 4*c, -4*m = 2*c - p*c - 18. Solve 16 = -0*o - m*o for o.
-4
Let u be 8 + -6 + 10/(-5). Solve u = 10*s - 18*s + 32 for s.
4
Let m = -17 + 80. Suppose 5*y - 32 = m. Solve -4*i + 7 = y for i.
-3
Let a be (12/15 - 0)/(5/50). Solve a = 6*t - 10 for t.
3
Let h be ((-7)/(-7) - 2)*(-11 + -2). Solve 5*s = -h - 12 for s.
-5
Let s = 477 - 471. Solve -s*w + 5*w = -4 for w.
4
Let x(c) = 21*c - 178. Let j be x(9). Solve j*h - 19 - 14 = 0 for h.
3
Let t = -463 + 506. Solve t = 9*x + 43 for x.
0
Suppose -8*o + 340 = -3*o. Suppose 32 = -5*y - o. Let z be 2/(-5) + y/(-50). Solve 0 = -2*n - z*n + 6 for n.
3
Suppose j = n, -4*j = -2*j - 10. Let v(y) = -y - 6*y**2 - 11*y + 1 + 11*y**3 - 10*y**3 - n*y**2. Let h be v(12). Solve -3*w - 7 = -h for w.
-2
Let j = -996 - -998. Solve -j*l - 2 - 4 = 0 for l.
-3
Let i be (0 + 0)/(30/(-15)). Solve i = 6*m - m - 25 for m.
5
Let l be (-10)/(-40)*-4*-11. Solve -3*x + l + 4 = 0 for x.
5
Suppose 5*t = -w + 69 + 432, -5*t + 3*w = -497. Suppose -39*j = -34*j - t. Solve 0 = -5*h - 0*h + j for h.
4
Let r = -14 - -2. Let v = r + 12. Suppose 0*y - 6 = -y. Solve v*f + y = 2*f for f.
3
Let n = 172 + -164. Suppose 4*t = -0*t - 8. Let z = n - t. Solve 3*q + 2*q + z = 0 for q.
-2
Let j(s) = -2*s**2 - 18*s + 224. Let y be j(-16). Solve v - 18 + 14 = y for v.
4
Suppose -46*d - 5287 + 5333 = 0. Let h = 3 - 2. Solve 0 = -k - h - d for k.
-2
Let l = 861 - 853. Solve 6 = -l*o - 18 for o.
-3
Let n(f) = 8*f + 2. Let g be n(2). Let q = g + -15. Solve q = 3*u - 6 for u.
3
Let x be 84/18*(-1 + 26/14). Solve x*f - 12*f = -40 for f.
5
Let r be 4/16 + 7/4. Suppose j + 25 = -r*u - 4*j, -3*j - 9 = 0. Let w(x) = x**3 + 6*x**2 + 3*x - 4. Let o be w(u). Solve -i - 20 = -o*i for i.
4
Let c = 28 + -25. Suppose -j + 0*q + 10 = 2*q, -c*j - 6 = -3*q. Solve -j*t = t - 6 for t.
2
Suppose -6*b + 6 = -5*b. Let s(i) = i**2 - 4*i - 10. Let j be s(b). Solve j*z + 4 = 2 for z.
-1
Suppose -8*a = -3*a - 25. Suppose 2*t - h = -a, 4*t + 3*h + 8 = 23. Solve -p + 3 + 2 = t for p.
5
Let o = 9 - 5. Suppose 213 + 102 = 21*t. Suppose -t = 9*p - 42. Solve p*d = -d + o for d.
1
Suppose -14*a + 23*a - 99 = 0. Solve -10*y = -a*y - 3 for y.
-3
Suppose 3*h + 87 = 4*q, 4 - 108 = -5*q - h. Let l be (-66)/21 - (-3)/q. Let b be 6*(0 + l/(-9)). Solve -z - z = -b for z.
1
Let c = 3 + 7. Solve -c*p + 4 + 16 = 0 for p.
2
Suppose -q + 4*q - 4*w - 23 = 0, -27 = -5*q + w. Solve q = -a + 1 for a.
-4
Suppose -3*u - 4*u + 91 = 0. Suppose -21 = -2*c - u. Solve 0 = -h + c*h for h.
0
Suppose 9*u - 90 = -u. Solve 2*r - 44 = -u*r for r.
4
Suppose 0 = -5*a - 4*b + 23, 0 = -2*a + 4*b + 5 - 7. Solve 5*z = 4*z - a for z.
-3
Suppose 338 - 30 = 14*l. Solve 14*p + l = 8 for p.
-1
Let w be (-4)/(-7) + (-365)/(-35). Solve -3*s = -w + 14 for s.
-1
Suppose 0 = -q - 4*t - 23 + 118, -243 = -3*q + 2*t. Solve 80*b - q*b = 6 for b.
-2
Suppose 2*h = 4*v - 18, 3*v = -3*h + 4*h + 13. Suppose -q = -5*n, -3*q + 13 + 6 = v*n. Suppose q = -b - 3*x + 2, 1 = -3*b - 5*x. Solve -2*z + b = -z for z.
3
Let p(o) = -3*o + 16. Let z be p(7). Let c be 4*6/((-12)/z). Solve 0 = 2*s + 3*s + c for s.
-2
Let d(x) = 7*x**2. Let l(b) = b**2 - b. Let p(s) = d(s) - 3*l(s). Let a be p(-3). Suppose 4*v - a - 19 = -2*g, -v = 5*g - 34. Solve -4*m - v - 7 = 0 for m.
-4
Let q be (-250)/(-40) - (2 - 7/4). Solve 3*l + 3 = q for l.
1
Let g = -214 + 218. Solve 10*m + 6 = g*m for m.
-1
Let w(j) = 7*j - 100. Let u be w(16). Solve -2*m - 10 = -u for m.
1
Suppose -5 = 3*u - 2*u. Let p(j) = -j**2 - 8*j + 8. Let q be p(u). Suppose -q*z = -18*z - 10. Solve y - z = -y for y.
1
Let z(b) = -2*b**3 - 59*b**2 + 28*b + 160. Let a be z(-30). Solve 8*y + a = 204 for y.
-2
Let p = -6 + 6. Suppose 0 = -281*u + 278*u + 60. Solve -l - 4*l + u = p for l.
4
Suppose -2*h = -2*f, -4*h - 4 + 1 = -5*f. Suppose -2*z = -0*z - 5*x + 10, -h*z - 2*x = 53. Let d = -11 - z. Solve -d*s = -s - 15 for s.
5
Let s = -81 + 86. Solve 3 = s*l -
|
{
"pile_set_name": "DM Mathematics"
}
|
4/4 - u**2/2 - 57*u. What is the third derivative of l(j) wrt j?
-600*j**3 + 60*j**2
Find the second derivative of -29*z - z**5 - 7*z + 18*z - 10*z wrt z.
-20*z**3
Find the second derivative of -62*x**2 - 2*x + 4*x**3 + 62*x**2 + 5*x wrt x.
24*x
Suppose 49 - 57 = -2*y. Let p(m) be the second derivative of 0 - 1/30*m**6 + 0*m**3 + 0*m**2 + 1/12*m**y - m + 0*m**5. Find the third derivative of p(o) wrt o.
-24*o
Let g(p) be the first derivative of p**5 + 2*p**3/3 - 6. What is the third derivative of g(c) wrt c?
120*c
Let t be 0 + 3 + -2 + 3. Let j(x) be the second derivative of x + 0*x**2 + 0 - 1/6*x**t + 0*x**3 - 1/5*x**5. What is the third derivative of j(s) wrt s?
-24
Let f(t) be the third derivative of 0 + 0*t**3 - 7*t**2 + 1/10*t**5 - 1/120*t**6 + 0*t + 0*t**4. What is the third derivative of f(h) wrt h?
-6
Let i(l) be the first derivative of -1/3*l**3 + 0*l - 3 + 3/2*l**2 - 1/24*l**4. Let z(o) be the second derivative of i(o). Differentiate z(c) wrt c.
-1
Find the second derivative of -11*z - 23*z**5 + 12*z**5 + 9*z**5 wrt z.
-40*z**3
Let v = -1 + 5. Suppose -4*f + 23 = g + 3, 2*g - f - v = 0. What is the third derivative of 48 + 2*t**2 + g*t**6 - 48 wrt t?
480*t**3
What is the second derivative of -4*f + 15*f**3 + 9*f**3 - 19*f**3 - 5*f wrt f?
30*f
Suppose 4*v - 9 = 11. Suppose -8 = -4*c - 4*h, 3*h = -v*c + 2*h + 18. Find the third derivative of -8*k**4 - 5*k**2 + 3*k**2 + 7*k**c wrt k.
-24*k
Let r(b) be the third derivative of 2*b**5/15 - b**3/6 - b**2. Differentiate r(f) wrt f.
16*f
Find the second derivative of -18*h**5 + 26*h + 10*h - 14*h wrt h.
-360*h**3
Let u(d) = -d**3 - d + 2. Let k be u(0). Suppose -x - 6 = -4*x. Find the second derivative of -a + 4*a**5 + x*a - k*a**5 + a**5 wrt a.
60*a**3
Let s(h) be the third derivative of h**6/24 + 11*h**4/24 - 6*h**2. What is the second derivative of s(k) wrt k?
30*k
Let q = 1 + 6. What is the second derivative of u - u**4 - q*u**3 + 7*u**3 + u wrt u?
-12*u**2
Let a(g) = g**2 + g. Let q(m) = m + 3*m - 5*m + 0*m. Let c(s) = -5*a(s) - 4*q(s). Find the second derivative of c(o) wrt o.
-10
Let w(d) be the second derivative of -14*d**6/15 - 47*d**2/2 - 25*d. Differentiate w(u) with respect to u.
-112*u**3
Find the second derivative of -4*f**5 - 14*f + 4*f + 9*f**5 wrt f.
100*f**3
Let s(q) be the first derivative of -1 + 0*q**2 - 3*q + 0*q**3 + 1/4*q**4. Find the first derivative of s(f) wrt f.
3*f**2
Find the second derivative of 12*y**3 - 2 + 2 + 8*y - 5*y**3 wrt y.
42*y
Let q(a) = a**3 + 4*a**2 - 2*a - 3. Let f be q(-4). Find the third derivative of r**2 - 2*r**f + r**5 - r**5 wrt r.
-120*r**2
Suppose 5*a - 4*z + 2*z - 4 = 0, -a = 2*z - 8. Find the second derivative of r - a*r**4 + 2*r - 2*r wrt r.
-24*r**2
Let t = -1 + 6. What is the derivative of 0*y + 1 - t + 4*y - 2*y wrt y?
2
Let f(u) be the first derivative of 0*u**3 - 1 - 3/4*u**4 + 0*u - 2*u**2. Find the second derivative of f(g) wrt g.
-18*g
Let v(r) be the first derivative of 0*r**4 + r**5 - 4/3*r**3 + 5 + 0*r + 0*r**2. What is the third derivative of v(p) wrt p?
120*p
Let a(r) be the second derivative of 0*r**2 + 0 + 0*r**5 + 0*r**6 + 8*r - 5/6*r**4 - 5/21*r**7 + 0*r**3. What is the third derivative of a(i) wrt i?
-600*i**2
Let z = 12 + -7. Suppose 4*l + l - 5 = -z*m, -l - 23 = -5*m. Find the second derivative of 2*r - 3*r + r**m + 0*r**4 wrt r.
12*r**2
Find the second derivative of 0*m + 5*m + 0*m - m**2 + 4*m**2 wrt m.
6
Suppose 19 - 7 = 3*m. Suppose -2 = m*s - 6. Differentiate 0*u**2 + s - u**3 + 0*u**2 wrt u.
-3*u**2
Let u(b) be the third derivative of -11*b**6/120 - 2*b**5/15 + 9*b**2. What is the third derivative of u(t) wrt t?
-66
Let p(a) = 78*a**4 + 31*a**2 - 7*a. Let f(g) = -52*g**4 - 21*g**2 + 5*g. Let z(i) = -7*f(i) - 5*p(i). Find the third derivative of z(w) wrt w.
-624*w
Let u(l) be the second derivative of -11*l**6/30 - 11*l**3/3 - 28*l. Find the second derivative of u(x) wrt x.
-132*x**2
Suppose 4*d + 0*d = 60. Let b be (6/d)/((-4)/(-10)). Differentiate 0 - b - 1 - 2*m**3 with respect to m.
-6*m**2
Let o(n) be the second derivative of -3*n**7/14 - 7*n**4/12 - 7*n. Find the third derivative of o(d) wrt d.
-540*d**2
What is the second derivative of 3 - 68*z + 53*z - 3 + 4*z**5 wrt z?
80*z**3
Let a(x) be the first derivative of x**5/40 - 5*x**4/24 - x**3 - 3. Let u(q) be the third derivative of a(q). Differentiate u(t) with respect to t.
3
What is the second derivative of -3*f + 4*f - 2*f - 7*f**4 - 2*f wrt f?
-84*f**2
Let w(u) be the first derivative of -u**10/840 + u**6/180 + u**3/3 + 6. Let c(s) be the third derivative of w(s). What is the third derivative of c(i) wrt i?
-720*i**3
Let v = 18 + -14. Find the second derivative of -4*i**v - 6*i + i + 0*i**4 + 6*i**4 wrt i.
24*i**2
Let l = -115 + 76. Let z be (-2)/6 + l/(-9). What is the third derivative of -4*u**3 + 3*u**2 - z*u + u**3 + 4*u wrt u?
-18
Let m(n) = 8*n + 8. Let h(d) = d + 1. Let r(s) = -h(s) + m(s). What is the first derivative of r(j) wrt j?
7
Let o(f) be the third derivative of f**4/24 + 4*f**3/3 + 3*f**2. Let s(x) = 1. Let q(m) = o(m) - 3*s(m). What is the first derivative of q(i) wrt i?
1
Let c(s) be the third derivative of -s**6/180 - s**4/24 + s**3/2 - 3*s**2. Let d(q) be the first derivative of c(q). Differentiate d(l) with respect to l.
-4*l
Find the second derivative of 22*x - 16*x**5 + 2819*x**4 - 2819*x**4 wrt x.
-320*x**3
Let j = 3 - 6. Let h be (-1)/j - 5/15. Find the first derivative of 3*g**4 + 4 + h - 1 wrt g.
12*g**3
Let x be (-4)/10 - 22/(-5). Find the third derivative of 0*b**2 - 3*b**x + 0*b**2 - b**2 - 3*b**2 wrt b.
-72*b
Let k be 10/(-4)*52/(-65). Let h(u) be the first derivative of 0*u - u**k + 2 - 1/4*u**4 + 0*u**3. What is the second derivative of h(m) wrt m?
-6*m
Let s(c) = -c - 1. Let w(p) = 18*p**2 + 23*p - 2. Let y(x) = 2*s(x) - w(x). Find the second derivative of y(u) wrt u.
-36
Let j be (-16)/24*(-2)/8. Let a(r) be the second derivative of -r**2 + r + 0 - j*r**3. Differentiate a(q) wrt q.
-1
Let l(y) be the first derivative of 4*y**5 + 15*y + 6. What is the first derivative of l(q) wrt q?
80*q**3
Let h(y) = -y**2 - 7*y - 2. Let z be h(-6). Let v be 0/(-1) + (z - 0). What is the second derivative of 2*q**2 + 0*q**2 + 4 - v - 4*q wrt q?
4
Suppose 5*b - 35 = 40. Suppose -2*j + b = j. What is the second derivative of 3*r**5 + r**j - 3*r**5 - r wrt r?
20*r**3
Let q(b) be the first derivative of 2/3*b**6 + 0*b**2 + 0*b**4 + 1/3*b**3 - 4 + 0*b**5 + 0*b. What is the third derivative of q(w) wrt w?
240*w**2
What is the first derivative of 15*j + 14 - 25*j - 6 + 26*j wrt j?
16
Let o(y) be the first derivative of -17*y**4/2 + 31*y**3/3 + 11. Find the third derivative of o(p) wrt p.
-204
Suppose 0*b - 5*z = 3*b - 64, 5*b = 3*z + 50. What is the derivative of -b - 4*q + 23 - 14 wrt q?
-4
Let f = 5 + -3. Suppose f*r - 3 + 0 = k, -3*r = k - 17. Find the third derivative of -3*c**3 - r*c**2 - 5*c**2 + 2*c**2 + 9*c**2 wrt c.
-18
Let o(r) = -5*r**3 - 6*r**2 - 2*r. Let h(t) = -t**3 - t**2 + t. Let a(p) = 6*h(p) - o(p). What is the second derivative of a(q) wrt q?
-6*q
Let g(v) be the second derivative of 1/6*v**3 + v + 5/2*v**2 + 0. Differentiate g(s) wrt s.
1
Let y(a) = a**2 + a. Let j(t) = -26*t**2 + t - 5. Let w(m) = -j(m) + y(m). Differentiate w(k) wrt k.
54*k
What is the derivative of -4 + 10*q**3 - 3*q**3 + 5 wrt q?
21*q**2
Let u(h) = 5*h**6 + 5*h**5 + 5*h**3 + 14*h**2. Let v(w) = w**6 - w**5 - w**3 - w**2. Let z(l) = -2*u(l) - 10*v(l). What is the third derivative of z(b) wrt b?
-2400*b**3
Let d(j) be the second derivative of -3*j**7/14 - 7*j**3/3 - 8*j. Find the second derivative of d(a) wrt a.
-180*a**3
Let s be 3/9*-1*-3. Differentiate -s - r**3 + 2 - 3 + 4 wrt r.
-3*r**2
What is the third derivative of 9*n**4 - 2*n**4 - 2*n**2 - 5*n**2 wrt n?
168*n
Let d(a) be the first derivative of 5*a**9/3024 - a**5/24 - 2*a**3 - 5. Let q(y) be the third derivative of d(y). Find the second derivative of q(g) wrt g.
100*g**3
Find the third derivative of -4*y**3 - 24 + 6*y**3 - 92*y**2 + 94*y**2 - 5*y**3 wrt y.
-18
Let p(g) = -g**5 + 6*g**3 + 6*g**2 - 9*g - 6. Let b(j) = -j**3 - j**2 - j + 1. Let t(x) = 6*b(x) + p(x). What is the second derivative of t(o) wrt o?
-20*o**3
Find the second derivative of 0 - 12*n - 11*n**3 + 0 + 29*n**3 wrt n.
108*n
|
{
"pile_set_name": "DM Mathematics"
}
|
seven dps.
0.0000004
Let x = -3 - -3.00009. What is x rounded to 4 dps?
0.0001
Let k = 8 + 8. Let o = k - 15.99946. What is o rounded to four decimal places?
0.0005
Suppose -31117 = k + 2*g + 14875, 0 = 5*k + 4*g + 229984. What is k rounded to the nearest ten thousand?
-50000
Let v(z) = -z + 28. Let o be v(0). Suppose -4*j = 4*k + o, 5*k + j = -0*j - 19. Let y be 180003/k - -1 - 0. Round y to the nearest one hundred thousand.
-100000
Let h = -31.29833 - -31.3. Round h to 4 dps.
0.0017
Let h = -225 - -223.06. What is h rounded to 1 dp?
-1.9
Let w = 16928344300.00000079 + -16928344187. Let c = w + -113. What is c rounded to 7 dps?
0.0000008
Let i = -3.224 + 3.2. What is i rounded to 2 dps?
-0.02
Let l = 2 - 3.8. Let y = l + 1.7944. Round y to 3 decimal places.
-0.006
Let y be (-5948)/7 - 42/147. What is y rounded to the nearest 100?
-900
Let q = 118.68788 + -62.18227. Let t = q + -10.50472. Let j = t + -46. Round j to four dps.
0.0009
Let k(p) = 28*p**2 - p - 7. Let g be k(-9). What is g rounded to the nearest 100?
2300
Let h = 41.1 + -58. What is h rounded to zero dps?
-17
Suppose 6518 = -8*n - 2282. What is n rounded to the nearest 100?
-1100
Let b(y) be the third derivative of y**6/120 - y**5/10 + y**4/4 - y**3/3 - 4*y**2. Let g be b(5). Suppose 13 + g = -r. What is r rounded to the nearest 10?
-20
Let v = 4454.889 - 4452. Let y = 3.03 - v. Round y to two dps.
0.14
Let u(y) = -y**2 - y + 28000. Let g be u(0). Suppose 5*f - g = -0*f. Round f to the nearest one thousand.
6000
Suppose -3*f - 32487 = 27213. What is f rounded to the nearest 1000?
-20000
Suppose 0 = -4*l + 4*d + 1896, 2*d + 9 = 1. What is l rounded to the nearest 100?
500
Let x = 9 + -46. Let q = x + 18. Let w = q + 19.0068. Round w to three decimal places.
0.007
Let f = -8.6 - -8. Let q = f + 0. Let v = -0.599925 - q. What is v rounded to five decimal places?
0.00008
Let s = -267.3 + 297. Round s to the nearest 10.
30
Let q = -24277556121 + 24277556363.99999901. Let n = -243 + q. What is n rounded to 7 decimal places?
-0.000001
Let d = -39.1 - -39.0268. Round d to 2 decimal places.
-0.07
Let r = -33238 - 4762. What is r rounded to the nearest 10000?
-40000
Let f = -7 - -8.2. Let x = -1.199904 + f. Round x to five decimal places.
0.0001
Let n = -1.1 + 1.17. Let x = -0.026753 + -0.0432412. Let k = x + n. What is k rounded to six decimal places?
0.000006
Let i = 4.98 - 5. Let g = -0.02000096 - i. Round g to 7 decimal places.
-0.000001
Let m = 188.9999778 + -189. What is m rounded to six decimal places?
-0.000022
Suppose 1590000 = 2*x + x. Round x to the nearest 100000.
500000
Let i = -0.0974 + 0.1. What is i rounded to 3 dps?
0.003
Let t = 4.0646 - 3.976395. Let v = t - 0.088. What is v rounded to five dps?
0.00021
Let w = -11 + 2. Let i(b) = -545*b - 5. Let s be i(w). What is s rounded to the nearest 1000?
5000
Let x be -15 + 18 + (-180005 - -2). Round x to the nearest 10000.
-180000
Suppose 2*h = -2*t - 784, -314 = 2*h - 5*t + 463. What is h rounded to the nearest 10?
-390
Let s = -64.5 - 10.5. Let g = 2175311633.99999969 + -2175311709. Let y = g - s. What is y rounded to 7 dps?
-0.0000003
Let n = 1826.93965 - 1827. Let c = 2.1 + -2.16. Let u = c - n. What is u rounded to 4 decimal places?
0.0004
Let t = -2 + -9. Let y = t - -11.022. What is y rounded to 2 dps?
0.02
Let d be (3 + -4)*0/1. Let i(y) = y**2 - y. Let u be i(d). Suppose -3*t + u*t - 180000 = 0. What is t rounded to the nearest one hundred thousand?
-100000
Let i = 101 + -65. Let m = 840 + -881.9. Let h = i + m. Round h to the nearest integer.
-6
Let t = 1463.3 - 1463.27999994. Let c = 0.22 + -0.2. Let v = c - t. What is v rounded to seven decimal places?
-0.0000001
Let c = -653 + 645.97. Let h = -0.15 - -7.15. Let y = c + h. Round y to two decimal places.
-0.03
Let n = 10 + -2. Let j(r) = -3*r + 15. Let m be j(-9). Let h = m + n. What is h rounded to the nearest 100?
100
Let t = -8824 - -27824. Suppose -5*q - t = -0*q. Round q to the nearest one thousand.
-4000
Let n = 13 + -10.9. Let u = -3.7 + n. What is u rounded to zero decimal places?
-2
Let b = 61863.053 + -61827. Let x = b + -36. Let j = x + -0.052959. What is j rounded to five decimal places?
0.00004
Let c = 221882 - 591882. What is c rounded to the nearest 100000?
-400000
Let g(c) = c. Let z be g(4). Let s(o) be the third derivative of 13*o**5/20 - 5*o**4/24 - 2*o**3/3 - o**2. Let x be s(z). Round x to the nearest 100.
600
Suppose 3*y = -9395 + 30131. Let s be (1 - 3) + -10 + y. What is s rounded to the nearest one thousand?
7000
Suppose 1392 = 4*m - 1044. Suppose 2*h - 5*h = 1953. Let k = h - m. Round k to the nearest 100.
-1300
Let j = 909.03958 - 909. Let f = -0.039 + j. What is f rounded to 4 decimal places?
0.0006
Let v = -0.32000125 - -0.32. What is v rounded to 7 decimal places?
-0.0000013
Let j = -3 - -2.6. Let l = 2.7 - j. What is l rounded to zero dps?
3
Let u = 2.6 + -2. Let i = -0.599976 + u. Round i to 5 decimal places.
0.00002
Let g(o) = o**3 - 9*o**2 + 9*o - 10. Let j be g(8). Let x(a) = -82*a - 3. Let b be x(j). What is b rounded to the nearest ten?
160
Let f = 0.04 - -0.06. Let n = f + -0.100004. Round n to five decimal places.
0
Let c = 12229 + -12221.0003. Let y = -9 + 17. Let u = y - c. What is u rounded to 3 decimal places?
0
Let d = -13 + 19. Let v be (-14 + -40)/(d/(-500000)). What is v rounded to the nearest 1000000?
5000000
Let p = -24.479 - 0.021. Let g = 22 + p. What is g rounded to the nearest integer?
-3
Let z(s) = -s - 1. Let p = 12 - 8. Let x be z(p). Let a = x - -6. Round a to one decimal place.
1
Let s = 75 - 47. Suppose -5*a = z - s, 0 = 5*z + a + 3*a - 35. Let h be ((-2136)/4)/(z/(-50)). What is h rounded to the nearest 1000?
9000
Let a = -21.036 + 21. What is a rounded to two dps?
-0.04
Let n(a) = -a**2 - 10*a. Let p be n(-10). Suppose -3*q + p*q + 42000 = 0. Round q to the nearest ten thousand.
10000
Let x = -78.11026 - -78. Let g = x - -0.11. Round g to four dps.
-0.0003
Let t = -35.92 - -35. Round t to 1 dp.
-0.9
Suppose -5*f = -0*f. Suppose f = -i - 0*i + 177000. What is i rounded to the nearest 10000?
180000
Let d = -1.5995 - -1.6. Round d to four decimal places.
0.0005
Let q = -0.26 - -0.3. Let l = -0.003 + q. Round l to 2 dps.
0.04
Let h = 0.4147 + -0.41. What is h rounded to three dps?
0.005
Let w = 50.999828 + -51. Round w to 5 decimal places.
-0.00017
Let g be (2*(-12)/8)/(6/(-3760)). What is g rounded to the nearest one hundred?
1900
Let v = 236611300.00000035 + -236611289. Let a = 25 - 36. Let b = v + a. Round b to 7 dps.
0.0000004
Let k = -4192.487 - -4200. Let s = -12.187 + 12. Let r = k - s. Round r to the nearest integer.
8
Let m = 0.183 + 5.817. Let u = -9857 - -9850.99875. Let a = m + u. Round a to 4 dps.
-0.0013
Suppose -1560000 = -8*m + 4*m. What is m rounded to the nearest one hundred thousand?
400000
Let u(t) = 190*t**2 - 9*t + 6. Let o be u(-9). Let c = -36838 + o. Let b = 43361 + c. Round b to the nearest 10000.
20000
Let s(x) = x**2 - 13*x + 10. Let g be s(8). Round g to the nearest 100.
0
Let n = 19 - -3. Round n to the nearest ten.
20
Let v = 5.2000832 - 10.1001. Let u = v + 4.9. What is u rounded to six dps?
-0.000017
Let d be 2/5 - (-13)/5. Suppose -69000 = d*l - 6*l. Round l to the nearest ten thousand.
20000
Let q = -2181298 + 4381298. What is q rounded to the nearest one million?
2000000
Suppose -5*l = -2*l - 9. Suppose -l*p - 118087 = 25913. What is p rounded to the nearest 10000?
-50000
Let i = -1 + -10. Let c = 5 + i. Let w = c - -5.9998. Round w to 4 dps.
-0.0002
Let f = 64 - 64.0000215. Round f to six dps.
-0.000022
Let m = 0.62 - -1.06. Let g = m - 1.6877. What is g rounded to three decimal places?
-0.008
Let g = -848.962616 - -0.873316. Let x = g - -848.43930059. Let d = x + -0.35. Round d to seven decimal places.
0.0000006
Let u = 1.22 + -0.02. Let a = u + -1.1983. What is a rounded to 3 dps?
0.002
Suppose 0 = c + 2*m - 19800004, 7*c - 4*c = 2*m + 59399996. What is c rounded to the nearest 1000000?
20000000
Let a = -0.8 - -1.51. What is a rounded to one decimal place?
0.7
Suppose -6 - 10 = -4*p. Suppose -576 = -6*l + 4*l. Suppose l = -5*f - p*y, -4*y = -f - f - 132. What is f rounded to the nearest ten?
-60
Let n(u) = 5*u**3 + u**2 - u + 1. Let l be n(1). Let v = -7 + l. Let a be
|
{
"pile_set_name": "DM Mathematics"
}
|
- 18 = -3*h for h.
3
Solve -4*g + y + 20 = 0, 0 = g - 0*g - 5*y - 24 for g.
4
Solve 0 = -2*p - a - 0*a - 6, 3*a + 2 = 2*p for p.
-2
Solve -5*f - 5*j = 0, -11 = -2*j - 3 for f.
-4
Solve -2*a + 35 = 5*m, -2*a = -2*m - a + 5 for m.
5
Solve -4*k + k = 2*m - 5, -m - 11 = -3*k for m.
-2
Solve -2*w + 5*s + 13 = 0, -3*w - 4*s + 2 = -6 for w.
4
Solve 0*s = -4*s - 3*t - 6, 0 = -s - t - 2 for s.
0
Solve -2*y + 13 = -2*m + 23, 0 = -5*m - 3*y + 9 for m.
3
Solve -k + 1 = -5*n, 3*n - 155*k + 157*k - 2 = 0 for n.
0
Solve 2*g - 7*g - 20 = -3*x, 8 = -2*g - 4*x for g.
-4
Solve -2*n - 3*k = -7 - 3, 2*n + 6 = 5*k for n.
2
Solve -14 = -v + 3*a, -3*v = 4*a + 11 + 12 for v.
-1
Solve 3*s + 13 = v, 2*s + 352 = 2*v + 346 for s.
-5
Solve 0 = 3*g + b + 4*b - 5, 5*g + 13 = -3*b for g.
-5
Solve 8 = 4*h + 4*i - 2*i, -4*h = -5*i + 6 for h.
1
Solve 0 = -6*d + d - 2*g - 1, 13 = -5*d + 4*g for d.
-1
Solve 2*d + 6 = k, -d - 2*k = 8 + 5 for d.
-5
Solve -4*z + 5*v = 2*v - 4, 28 = 4*z + 3*v for z.
4
Solve 0 = -7*g + 3*g + 3*h - 11, -g - 17 = 4*h for g.
-5
Solve 4*y - 6 = i - 20, y - 6 = 5*i for i.
-2
Solve -z + 14 = 5*x, -2*x + 0*x + 7 = -z for z.
-1
Solve -7*m - 19 = -3*j - 5*m, -6 = 3*m for j.
5
Solve -5*q + 2 = -2*v, 5*v + 5*q - 5 = -10 for v.
-1
Solve 26 - 11 = -3*t, 0 = -5*b - t - 15 for b.
-2
Solve -2*d + 3 = -5, 5*z - 9 = 4*d for z.
5
Solve 5*f - 5*s = 5, -34*f = -31*f + s + 9 for f.
-2
Solve -3*u - 26 = 4*v, -4*u + 7*v + 12 = 3*v for u.
-2
Solve -3*w - 16 = w - 2*u, -w + 1 = -3*u for w.
-5
Solve -h + 4*j = j + 8, 0 = -4*h - 5*j + 36 for h.
4
Solve -10*c + 10 = -11*c + 5*p, -3*p + 6 = -5*c for c.
0
Solve 2*z + 2*g = 0, 156*z - 5*g + 14 = 154*z for z.
-2
Solve 2*r - 33 = 4*r + 5*y, -5*y - 21 = -r for r.
-4
Solve 4*h - 5*j - 11 = -25, 5*j - 13 = 3*h for h.
-1
Solve 3*g - i - 11 = 0, 0 = 7*g - 5*g - 5*i - 3 for g.
4
Solve q - 5*l + 9 - 25 = 0, q + 5*l + 14 = 0 for q.
1
Solve d - 1 = -2*n, 2*n + 3*d + 9 = -0*n for n.
3
Solve 4*q + 5*c = 1 + 2, q - 7 = 5*c for q.
2
Solve -5*t - 2*d - 1 + 0 = 0, -5*d = 5*t - 5 for t.
-1
Solve -2*h = 5*f - 27, 411*h = 412*h - f + 11 for h.
-4
Solve q + 3 = -3*i, 5*q + 24 = 5*i - 3*q for i.
0
Solve -4*n = 24, 4*d - 6*d = 4*n + 14 for d.
5
Solve 3*r = -12, 0 = 3*n + 4*r + 3 + 7 for n.
2
Solve 20 = -5*i + 5*r, 0 = 2*i - 4*r + 5 + 11 for i.
0
Solve -3*o + 5*k = -12, 0*o - 2*k + 16 = 4*o for o.
4
Solve -5*q + k + 0 - 17 = 0, 4*q = k - 14 for q.
-3
Solve o + 3*o = v + 15, -o + 4*v = 0 for o.
4
Solve -2*h = -5*p + 16, 3*p + 2*h - 6*h - 18 = 0 for p.
2
Solve k = 5*g - k - 18, 0 = -4*g + 2*k + 16 for g.
2
Solve -p - 2 = -2*x - 10, 2 = 3*x + 2*p for x.
-2
Solve 4*o + 793*r = 788*r + 32, 5*o - 2*r - 40 = 0 for o.
8
Solve 0 = 5*l + 2*v + 33, l + l + 22 = -3*v for l.
-5
Solve -2*g + 22 = 3*w, 5*g - 28 = -2*w + g for w.
4
Solve x - 2 = -3*p - 0*p, 2 = 2*x + 4*p for x.
-1
Solve 5*f + 16 = -3*r, -3*r + 4 = f + 12 for f.
-2
Solve -3*i = 5*n - 7*n - 18, -2*i + 25 = 3*n for n.
3
Solve -3*y - 7 = -5*q, 9*q + 18 = -4*y + 7*q for y.
-4
Solve -3*m + 2*d = m, 4*m + 3*d = 20 for m.
2
Solve -d = 4*i + 17, -2*i + 10 = 3*d + 31 for i.
-3
Solve 10*s = 12*s + 10, 3*d - 2*s + 5 = 0 for d.
-5
Solve 0 = 5*m - 3*g - 28, -5*m - 7*g = -3*g - 21 for m.
5
Solve -4*n = g + 12, 2*g = 2*n + g + 6 for n.
-3
Solve 0 = -y + x - 5, -3*x - 2*x + 17 = -3*y for y.
-4
Solve -v - 5 = -25*m + 21*m, -5*m + 5 = 0 for v.
-1
Solve 4 = n - v, 25 = 4*n + v + 4 for n.
5
Solve 2*q + 4*f + 17 = 9, 0 = q - 3*f - 6 for q.
0
Solve 5*t - 5 = -x, -35*x - 4 = -4*t - 32*x for t.
1
Solve 4*c = 5*f - 32, -2*c + 5*f - 7 = 19 for c.
-3
Solve -5*p - 15 = 0, -3*z + 3*p = 5*p + 3 for z.
1
Solve 11 = -b - 3*v, 32*v + 5 = -3*b + 37*v for b.
-5
Solve -4*r = -5*u + 29, 6*r = 5*r - 4*u + 19 for r.
-1
Solve -t - 3 = -n - 4, -3*t + n = 1 for t.
-1
Solve 7*o - 2*o + 12 = 4*j, 0 = -j - 2 for o.
-4
Solve 0 = -3*c + 4*z - 22, -6*z = -z - 20 for c.
-2
Solve 15 = -p - 3*p - 5*i, -i - 3 = 3*p for p.
0
Solve 1 = -4*k + 2*i + 5, 0 = -4*k - 5*i - 10 for k.
0
Solve -2 = -r + 5*v, 4*r + 83*v + 14 = 81*v for r.
-3
Solve -4*u + 3*z = 1, 2*z + 1 = -4*u + 5*u for u.
-1
Solve -5*x - 20 = 0, -3*x - 10 = -145*i + 147*i for i.
1
Solve -4*t = 12, -11*f + 15*f = t - 1 for f.
-1
Solve -3*c = -t - 10, 5*t = 2*t - 2*c + 25 for t.
5
Solve -5*k - 12 = -3*x, -5*k - 13*x = -14*x + 14 for k.
-3
Solve -54*i + 55*i - 2 = 0, -s = i - 3 for s.
1
Solve 4*d + v = 6*d - 4, 5*v = d - 11 for d.
1
Solve -56 + 61 = -2*t + 5*x, 3*t + 1 = x for t.
0
Solve 0 = 2*c - 60*s + 64*s, 0 = 4*c + 4*s for c.
0
Solve 52*a - 53*a - 1 = -3*w, 14 = 2*a + 2*w for a.
5
Solve -5*q + 5*p = -0*q, -5*q - 4*p = 18 for q.
-2
Solve 8 = -2*l - 3*z, z - 4 + 6 = -l for l.
2
Solve -5 = g - r, g + 5 = 2*r + 2*r for g.
-5
Solve r - 25 = -0*r - 5*w, -3*w + 15 = 2*r for r.
0
Solve 2*x - 28 = -5*i, -4*i + 9*x = 4*x + 4 for i.
4
Solve 5*w + 3*v = 12, 4 = -8*w + 9*w + v for w.
0
Solve 4*l + 2*g = 2, -2*l + 1 = -2*g + 3 for l.
0
Solve 5*p + 53 = -g + 66, 4*p - 2 = -5*g for g.
-2
Solve 2*g - y - y = 0, -2*y = 2*g + 16 for g.
-4
Solve 0 = 5*j + 2*t - 14, -3*t - 14 + 20 = 0 for j.
2
Solve 3*j = s + 9, -j - 13 + 2 = -5*s for s.
3
Solve -i + 2 = -2*o, -5*i + 2*o - 521 = -507 for i.
-4
Solve 0 = -5*h - 7*a + 8*a + 1, 0 = -2*h - 4*a - 4 for h.
0
Solve 0 = -4*o - 16, 9 = -n - 2*o + 2 for n.
1
Solve 0 = -l + 3*v, 2*l - 7*l + 4*v - 11 = 0 for l.
-3
Solve -7 = -3*b - y, 4*b - 5*y - 24 = 17 for b.
4
Solve -23*m = -26*m - 3*y - 6, -2*m - 12 = -2*y for m.
-4
Solve 6*r = -g + 3*r + 16, r - 7 = -2*g for g.
1
Solve 4*b = 5*j - 2, -5*j + 5*b + 6 - 1 = 0 for j.
-2
Solve -3*g + 5*a = 10*a + 37, -30 = 5*g + 2*a for g.
-4
Solve -p = -u + 1, -u + 6*p - 8*p - 5 = 0 for u.
-1
Solve 8 = -2*a - 4*n, 0 = 3*n + 12 - 6 for a.
0
Solve -5*p = -4*t - 20, -p + 7 - 3 = -5*t for p.
4
Solve 10 = -4*d - 4*j + 30, 4*d = -2*j + 10 for d.
0
Solve -3*v - 4*u = 0, 0 = -v + u - 2*u - 1 for v.
-4
Solve 0 = -3*d - q - 14, -5*d + q - 10 - 8 = 0 for d.
-4
Solve -2*j - 4 = -a, 3*a = -4*j - 8 + 20 for j.
0
Solve -5*d = 4*m, -m + 14 = 19 for d.
4
Solve 0*p - 2*p + 4 = -2*b, -p + 5 = 0 for b.
3
Solve -5*g = 15, 0 = -4*p - 3*g + 2 + 9 for p.
5
Solve -2*l - 12*o + 7 = -15*o, 40 = -5*l - 4*o for l.
-4
Solve 2*k + 3 = -x + 4, 5*x = k - 6 for x.
-1
Solve -5*a + 2*l - 1 + 3 = 0, -1 = -2*a + l for a.
0
Solve -5*n + 9*n - 24 = 4*y, 0 = -5*y + 4*n - 29 for y.
-5
Solve d + 5 = -g + 2, 4*d = -5*g - 13 for g.
-1
Solve 2*q + 2 = r, -4*q + 3*q + 3*r - 1 = 0 for q.
-1
Solve 4*w + 24 = 0, -w - 35 = -m + 4*w for m.
5
Solve -z = 5*x + 29, -3*z = 14*x - 11*x + 27 for z.
-4
Solve 2*v + 3*n - 29 = 0, 0 = 2*v + 5*n + 114 - 153 for v.
7
Solve 4*s = 2*j - 20, 18 = 3*j + 6*s - 8*s for j.
4
Solve 2*x + 2*o = 0, 0 = -2*x + 3*o + 2*o - 21 for x.
-3
Solve -2*p - r - 10 = 0, -5*p - 2*r - 35 = 3*r for p.
-3
Solve 16 = 2*z - 0*h + 5*h, 3*z - 2*h - 5 = 0 for z.
3
Solve 3*t - 1 = -l, 4*t - l - 3 = -11 for t.
-1
Solve -3*i + 4 - 20 = -4*a, 0 = -3*a + 4*i + 19 for a.
1
Solve 23*y - 31*y + 40 = 0, -4*l + 30 = 2*y for l.
5
Solve x - 20 = 3*o, -4*x + 4*o = 7*o + 40 for x.
-4
Solve 4*p - 2*w + 1 = 3*p, 0 = -2*p - 5*w + 7 for p.
1
Solve -7*n + 2*w = 15, -3*n + 20*w - 6 = 19*w for n.
-3
Solve -4*f + 33 = 5*n, -7 = 5*n - 5*f - 22 for n.
5
Solve a + 5*p - 2 = 0, 11*p - 17 = 4*a + 6*p for a.
-3
Solve 0 = -t - 5*p - 16, 5*t + 4 = 3*t - 3*p for t.
4
Solve -15 + 23 = -4*n + 2*d, -2*n - 5*d = -20 for n.
0
Solve -3*r + 11 = -t, 0 = -3*t - 0*t + 3 for r.
4
Solve -2*u + 5*u = -2*q + 1, -5*u + 3 = 4*q for u.
-1
Solve v = -2 + 5, 4*w = -3*v - 11 for w.
-5
Solve 5*g = -2*n + 8 - 8, -2*g = -3*n for n.
0
Solve -4*u - 10*v + 13*v + 4 = 0, -12 = 3*v for u.
-2
Solve 5*b - 3*k + 7 = 0, -b + 43*k = 40*k + 11 for b.
1
Solve a + 3*d = -2*a + 12, 0 = a - 4*d + 11 for a.
1
Solve -2*v = -4*l - 10, 2*v + 0 = 2 for l.
-2
Solve -4*p + 5 = -36*m + 39*m, 0 = -m - 5*p - 2 for m.
3
Solve -5*d - 5*y + 11 = -4*y, 0 = 2*d + 4*y - 8 for d.
2
Solve -3*o + 18 = 4*z, -2*o - o + 6 = 0 for z.
3
Solve -2*z = 2*p - 3*p + 6, 2*p = 3*z + 10 for p.
2
Solve o - 1 + 11 = 2*h, -4*o + 4*h - 20 = 0 for o.
0
Solve i - 13 = -2*a, -3 = -3*a + 4*i - 0 for a.
5
Solve v + j = 0, -8*v + 6*v = 3*j + 3 for v.
3
Solve 0 = 2*p + 8*a - 16, -p + 3*a + 19 - 32 = 0 for p.
-4
Solve 0 = 3*o - g, 0 = 2*o + 3*g - 7*g for o.
0
Solve 4*p + 10 = -2*a, -3*p + 4*a +
|
{
"pile_set_name": "DM Mathematics"
}
|
(-47)
Simplify (i/(i*i**25)*i**(1/20))**(-1/68) assuming i is positive.
i**(499/1360)
Simplify (l**(-11)*l/((l*(l**(-23/2)*l)/l)/l))/(l**(1/5)*l)**40 assuming l is positive.
l**(-93/2)
Simplify (q**(3/2)*q)/q**(-1)*(q*q*q**(-2/25)/q)/q**(1/6) assuming q is positive.
q**(319/75)
Simplify (q*((q/(q*q/q**(-38)*q))/q*q)/q)/(q*q*q*q*(q*q**(-22)*q)/q*q*q*q)*(q*q**(-2/25))**(-33/7) assuming q is positive.
q**(-5309/175)
Simplify d*d**18/d*d**(-6)*d*d**(-1/6)/(d*d**(-26)) assuming d is positive.
d**(227/6)
Simplify (v**(1/13))**(-1)*(v/(v**(1/27)*v))**17 assuming v is positive.
v**(-248/351)
Simplify (y*(y/(y*y**(1/10)))/y)/y**17*y**(-15)/y**(-16) assuming y is positive.
y**(-161/10)
Simplify (j*(j/((j/(j/j**(-9/4)))/j))/j*(((j*(j/j**(2/7)*j)/j)/j)/j)/j*j*j*j**(-3)*j*j*j*j**(3/2)*j*j)**(-4/39) assuming j is positive.
j**(-79/91)
Simplify (c*c/c**(-2/9)*c/(c*c/(c*c**(-3)))*c)/(c*c**(-1/5)*c)**3 assuming c is positive.
c**(-233/45)
Simplify j**1*j**(2/9)*j*j*j**(7/3)/(j/j**(1/11)*j) assuming j is positive.
j**(361/99)
Simplify (((n/n**3)/n)/n)**28/(n**(13/3)*n**(-12)*n) assuming n is positive.
n**(-316/3)
Simplify (a*a*a**(-9)*a/(a**(-5)*a))/((a*a**(-2/29))/a**(2/5)) assuming a is positive.
a**(-367/145)
Simplify ((r**0)**(-27)*(r/((r/(r/(r/(r**(1/4)*r))*r))/r)*r*r)**(5/6))**(-1/5) assuming r is positive.
r**(-7/8)
Simplify (((g*g**(-4/7))/g**(-2))**(-48))**0 assuming g is positive.
1
Simplify ((y**5*y)/((((y**(-1)/y)/y*y)/y)/y)*(y*y*y**(-1/2)*y)**(-26))**18 assuming y is positive.
y**(-990)
Simplify (q/q**4*q)**(-7)*(q/((q**(2/13)/q)/q)*q)**10 assuming q is positive.
q**(682/13)
Simplify ((g**9/g)**(-21))**(-20) assuming g is positive.
g**3360
Simplify (c/c**(-11)*c)/c*c/(c**(-4/9)/c)*(c**(1/24))**(2/49) assuming c is positive.
c**(25483/1764)
Simplify (o**47/(o**(-18/13)/o))**14 assuming o is positive.
o**(8988/13)
Simplify (((w**31*w)/w*w)/w*w/(w*w**(23/5)))**21 assuming w is positive.
w**(2772/5)
Simplify x**(3/4)*x**(-1/4)/x*(x/(x*x**(-2/5)*x))/(x**(-14)/x) assuming x is positive.
x**(139/10)
Simplify (((x*x**(2/21)*x*x*x*x)**(-1/2))**4)**44 assuming x is positive.
x**(-9416/21)
Simplify (m*m**(-8))**24/(m**(1/25)*m/(m*m**(8/11))) assuming m is positive.
m**(-46011/275)
Simplify (b/b**(1/4)*b)**(-3)*b**(-4)/b**16 assuming b is positive.
b**(-101/4)
Simplify (((f/f**(-1/3))**(-31))**46)**6 assuming f is positive.
f**(-11408)
Simplify f*f**(17/4)*f**(-2/59)*(f**(1/2))**34 assuming f is positive.
f**(5243/236)
Simplify q/q**(3/7)*q/q**(-4/9)*(q/(q*q*q*q*q*q**16))/(q/q**(1/2)) assuming q is positive.
q**(-2329/126)
Simplify (z**(-9)/(z/(z/z**(2/9))))/(z/z**(1/3))**(-3/5) assuming z is positive.
z**(-397/45)
Simplify (f**(-1)*f)**(-2/23)/(f/(f*f**1*f))**(-25) assuming f is positive.
f**(-50)
Simplify ((m**2*m*m*m**(-7))**(2/19))**20 assuming m is positive.
m**(-120/19)
Simplify (l/(l**(-1/5)*l))**29*(l/(l*l**(-3)*l)*l)**(-2/9) assuming l is positive.
l**(77/15)
Simplify (k/k**(-8))**(-3/44)/(k**(2/31))**(-17) assuming k is positive.
k**(659/1364)
Simplify ((o**2/o*o)/o)**12*o**(3/8)*o*o**(-3/5) assuming o is positive.
o**(511/40)
Simplify (s**(-2)/s**(-10))**(-32) assuming s is positive.
s**(-256)
Simplify ((s**0*s*s)**(-19)*s/(s/(s*s**(-7)))*s**(-4))**(5/2) assuming s is positive.
s**(-120)
Simplify (o**(11/4)*(o/o**(7/3))/o*o)**(-2/15) assuming o is positive.
o**(-17/90)
Simplify (h*h*h**(-2))/(h*h/(h/h**(3/4)*h))*(h**(-1/9)*h)**(3/25) assuming h is positive.
h**(-193/300)
Simplify m**6*m**28*m**(-28)*m*m*m**10/m assuming m is positive.
m**17
Simplify (u**13/(u/((u/(u*u**(-31)/u*u))/u)))/((u*(u**(-4)*u)/u*u)/u**(6/19)) assuming u is positive.
u**(842/19)
Simplify (m*m**3*(m*m/(m/(m*m*m**4*m)))/m*(m/m**0)**(1/44))**(-16) assuming m is positive.
m**(-1940/11)
Simplify n/(n*(n*(n/n**5)/n)/n)*n/(n/(n**19*n)*n)*n**6*n*n**(-1/6) assuming n is positive.
n**(185/6)
Simplify ((z/((((z*z/((z/(((z/z**(-13))/z)/z)*z)/z))/z)/z*z)/z))/(z/((z/((z**0*z)/z))/z*z)*z))/(z/(z/(z/(z/z**2)*z)))**(3/44) assuming z is positive.
z**(-493/44)
Simplify ((g**1)**(-34)/(g**(2/7)*g*g*g**4))**(-2/53) assuming g is positive.
g**(564/371)
Simplify (((l**(-8/7)/l)/((l/(l*l*l/(l*l**(-19/4)/l)))/l))**(-4/7))**(-1/6) assuming l is positive.
l**(157/294)
Simplify (i*i**(-6/11)*i*i**13/i*i)/(i*i**(2/19)/i)**0 assuming i is positive.
i**(159/11)
Simplify (c**16*c*c/((c**(-14)*c)/c))**(-20) assuming c is positive.
c**(-640)
Simplify (i/i**(-8))/(i/i**(1/8))*(i**(-5))**8 assuming i is positive.
i**(-255/8)
Simplify (z/(z*z*z**(-5)))**34*z/(z/z**(-1/11))*z/z**(5/3) assuming z is positive.
z**(4463/33)
Simplify (z**(2/9)/z)**(5/11)/(z**(-8)/(z**(-1/12)*z)) assuming z is positive.
z**(3391/396)
Simplify ((p**(-2/19)*p)/(p/(((p/p**(-1/3))/p)/p)))/(p**(-2/7))**(-1/45) assuming p is positive.
p**(-4658/5985)
Simplify ((u/(u/(u*u**(2/49)*u)))/((u*u*u/((u*(((u*u**(-22))/u*u)/u)/u*u)/u))/u))/(u/(u*u/u**(-5/12))*u/(u*u/(u*u**(-8)*u*u)*u)) assuming u is positive.
u**(-7963/588)
Simplify (n*n**(-2/13))**(3/13)*n**(-3)*n**15/n*n assuming n is positive.
n**(2061/169)
Simplify r*r*r**(3/2)*r/((r/r**(-4/3))/r)*r/(r/(r*r**(6/7)))*r**(4/9) assuming r is positive.
r**(689/126)
Simplify (m/m**(-1/3))**(-14)/(m/m**17*m*m*m**(-18)*m*m) assuming m is positive.
m**(34/3)
Simplify ((h**6*h/(h**(3/7)*h))/(h**(1/6)*h**6))**(-7) assuming h is positive.
h**(25/6)
Simplify (k**(-1/3)/(k/(k*k**2))*(k/(((k/(k*k*k/k**(2/3)*k)*k)/k)/k))**42)**(-46) assuming k is positive.
k**(-25346/3)
Simplify (j*j/(j**0/j*j*j))**(-6/7)*j*((((j/(j**(2/19)/j))/j)/j)/j)/j*(j*j**24)/j*j assuming j is positive.
j**(3064/133)
Simplify (y**(-6))**(-40)/((y*y*y**(2/21))/(y*y**(3/8))) assuming y is positive.
y**(40199/168)
Simplify q/q**(6/17)*q**(-17)*q*((((q*q**(-25))/q*q)/q)/q)/(q/(q**7/q)) assuming q is positive.
q**(-618/17)
Simplify (q**(-2/9)*q)/q**(2/5)*(q**4)**22 assuming q is positive.
q**(3977/45)
Simplify (s*s**13*(s/s**(-1/6))/s)/((s/(s*((s/((s**(10/9)/s)/s*s))/s*s)/s))/(((s**(12/7)/s)/s)/s)) assuming s is positive.
s**(1609/126)
Simplify (u**(2/9))**(-1/12)/(u/(u*u/u**(1/2)))**38 assuming u is positive.
u**(1025/54)
Simplify (((m**10*m)/m)/(m/(m/m**(1/36)*m*m)*m))/((m**(-32)*m*m)/(m/(m**(1/3)*m*m))) assuming m is positive.
m**(1427/36)
Simplify ((g**(-2/11)*g)/g)**(-1/3)/(g**(-3)*g*g**6) assuming g is positive.
g**(-130/33)
Simplify (s**8)**(-1/10)/(s**34*s/((s*s**(-7))/s)*s) assuming s is positive.
s**(-219/5)
Simplify ((c**10/c)/c**18)**43 assuming c is positive.
c**(-387)
Simplify (i**0)**(30/7)/((i*i**(-14))/(i/(i*i*i*i**(-1/6)*i))) assuming i is positive.
i**(61/6)
Simplify (r**(-11)*r**(-12/7)*r)/((r/(r*r**(5/3)/r*r))/r)**35 assuming r is positive.
r**(1714/21)
Simplify (b**35*b/(b*b*b**(-1/4)*b))/(b**2*b)**(-6) assuming b is positive.
b**(205/4)
Simplify (u**(-9)*(u*u**(1/12))/u*u)**(2/7) assuming u is positive.
u**(-95/42)
Simplify (n**26/n**33)**(-27/5) assuming n is positive.
n**(189/5)
Simplify (p*p**(6/7)*p/p**(-2/5))/((p**(-7/2)*p)/(p*p**(5/6)/p)) assuming p is positive.
p**(692/105)
Simplify (((y**(1/2))**(1/35))**19)**(-2/71) assuming y is positive.
y**(-19/2485)
Simplify ((((y/y**(-3))/y*y)**(-21))**(-12/19))**(-37) assuming y is positive.
y**(-37296/19)
Simplify (i**(-2/19)/i**(3/11))/(i**(2/9)*i*i**11*i) assuming i is positive.
i**(-25582/1881)
Simplify (((r*r**(-5/3))/(r*r/r**(-3)))/(r/(r*r/(r**1*r))*r*r**0))**1 assuming r is positive.
r**(-23/3)
Simplify ((t/t**(-2/55))/(t*t*t*t**(-9)))/(t**(-1)*t/t**(7/3)) assuming t is positive.
t**(1546/165)
Simplify (p/(p*p**(-15)/p))/(p/((p**0*p)/p)*p)*p**19*(p*p*p**(-23)*p)/p assuming p is positive.
p**12
Simplify a**(-1)/((a/a**(-17))/a)*((a/(a*a**(-2/7)*a*a)*a)/a*a*a)/a**(-3/11) assuming a is positive.
a**(-1343/77)
Simplify ((h**30/h)/h)/h**(3/5)*(h**6)**(-2/49) assuming h is positive.
h**(6653/245)
Simplify (((t**(2/9)/t)/(t**(3/8)*t))/(t*t**0*t)**(-1/2))**(2/25) assuming t is positive.
t**(-83/900)
Simplify ((f**3*f)/(f*f*(f**16*f)/f*f))/(f**(1/2))**(-50) assuming f is positive.
f**10
Simplify (((m/(m/m**3*m))/(m/(m/m**(-24)*m)))**(-2/81))**(3/7) assuming m is positive.
m**(-2/7)
Simplify (p**4)**(-9)/(p**17/((p/p**(-4/7))/p)) assuming p is positive.
p**(-367/7)
Simplify (i**46/(i**(-2)*i*i))**(2/73) assuming i is positive.
i**(92/73)
Simplify ((t**0*t)**3*(t/(t*((t*
|
{
"pile_set_name": "DM Mathematics"
}
|
ee letters picked without replacement from zzfhzzhmlzzlhzzhz?
3/170
Calculate prob of sequence hi when two letters picked without replacement from ihiir.
3/20
What is prob of sequence pk when two letters picked without replacement from cnkpkocnunppk?
3/52
Three letters picked without replacement from xooxoxxxxytowoqo. Give prob of sequence xoq.
3/280
Three letters picked without replacement from {q: 1, u: 1, e: 2, l: 1, d: 1, m: 1}. Give prob of sequence uld.
1/210
Two letters picked without replacement from {e: 5, k: 1, o: 14}. Give prob of sequence oe.
7/38
Three letters picked without replacement from {q: 1, t: 2, n: 1}. What is prob of sequence ttn?
1/12
Four letters picked without replacement from {i: 1, f: 4, m: 2, d: 2, k: 2, e: 1}. Give prob of sequence fmkm.
2/1485
Calculate prob of sequence ycn when three letters picked without replacement from yhcnchnhhhhh.
1/330
Four letters picked without replacement from xwwwwwgwwwwwxxw. What is prob of sequence wgxw?
11/1092
Three letters picked without replacement from {d: 3, u: 7, g: 4}. What is prob of sequence dgg?
3/182
Two letters picked without replacement from {u: 2, e: 8}. What is prob of sequence ue?
8/45
Four letters picked without replacement from afafa. What is prob of sequence faaf?
1/10
Calculate prob of sequence od when two letters picked without replacement from {d: 2, o: 5, v: 4, r: 2}.
5/78
Two letters picked without replacement from {e: 2, o: 5, g: 9, b: 2}. What is prob of sequence bo?
5/153
Calculate prob of sequence ozh when three letters picked without replacement from {z: 1, w: 6, h: 4, a: 1, o: 6}.
1/204
What is prob of sequence udeu when four letters picked without replacement from {e: 9, d: 2, u: 7}?
7/680
Three letters picked without replacement from {p: 2, g: 3}. Give prob of sequence ppg.
1/10
What is prob of sequence ru when two letters picked without replacement from {r: 5, u: 3}?
15/56
Two letters picked without replacement from {l: 5, y: 1, q: 2, b: 1, s: 3, z: 8}. Give prob of sequence bs.
3/380
What is prob of sequence gaq when three letters picked without replacement from qeqaqqvqqveqvqgi?
1/420
Four letters picked without replacement from ggggllgggglgggggll. What is prob of sequence gglg?
143/1224
Four letters picked without replacement from {y: 3, k: 4, p: 5, q: 1}. Give prob of sequence pppy.
3/286
Two letters picked without replacement from {b: 9, f: 2, w: 1, m: 3, t: 2, i: 1}. Give prob of sequence wf.
1/153
Three letters picked without replacement from tttztvzzzwvttzzvv. Give prob of sequence vtw.
1/170
Calculate prob of sequence fq when two letters picked without replacement from oqqoqooqfqoofqofo.
9/136
Two letters picked without replacement from {i: 5, w: 15}. Give prob of sequence ii.
1/19
Calculate prob of sequence kvvv when four letters picked without replacement from {k: 1, v: 3}.
1/4
What is prob of sequence nk when two letters picked without replacement from {k: 1, n: 1, v: 2, m: 1, j: 2, i: 1}?
1/56
Calculate prob of sequence hha when three letters picked without replacement from {a: 1, v: 2, h: 4}.
2/35
Three letters picked without replacement from xxccccccccxccccccx. Give prob of sequence ccc.
91/204
Two letters picked without replacement from {i: 1, d: 4, k: 1, o: 1, t: 2}. Give prob of sequence tk.
1/36
What is prob of sequence pppp when four letters picked without replacement from {f: 3, p: 15}?
91/204
Three letters picked without replacement from drcccbdc. What is prob of sequence drd?
1/168
What is prob of sequence zp when two letters picked without replacement from sjpjgsgssjsjgskspksz?
1/190
Two letters picked without replacement from {a: 1, k: 1, s: 2, n: 1, m: 5}. Give prob of sequence kn.
1/90
Calculate prob of sequence jmjm when four letters picked without replacement from qzmqqzjq.
0
Four letters picked without replacement from afffats. Give prob of sequence sfat.
1/140
Three letters picked without replacement from {t: 2, r: 5, a: 2}. Give prob of sequence art.
5/126
Four letters picked without replacement from uruouuo. Give prob of sequence ouou.
1/35
Four letters picked without replacement from {p: 2, k: 3, j: 8, u: 3, a: 3}. What is prob of sequence kjjk?
7/1938
Calculate prob of sequence tpt when three letters picked without replacement from {x: 2, d: 1, p: 2, v: 4, w: 6, t: 2}.
1/1020
Four letters picked without replacement from {k: 7, g: 2, m: 1, c: 1, u: 2, q: 1}. Give prob of sequence uqgc.
1/6006
Two letters picked without replacement from lvwvlolqbbbloq. Give prob of sequence lw.
2/91
Three letters picked without replacement from {e: 2, r: 4}. What is prob of sequence rer?
1/5
Two letters picked without replacement from meemmmgmgg. What is prob of sequence gm?
1/6
Calculate prob of sequence tnf when three letters picked without replacement from {f: 4, l: 3, m: 4, a: 1, n: 1, t: 2}.
4/1365
What is prob of sequence hc when two letters picked without replacement from {c: 5, i: 3, h: 3}?
3/22
What is prob of sequence nqn when three letters picked without replacement from qqqqnnqq?
1/28
Three letters picked without replacement from kbbjjbbp. What is prob of sequence bbp?
1/28
Four letters picked without replacement from ohsyhysjhqyhsyosoqys. What is prob of sequence qyss?
5/2907
What is prob of sequence zw when two letters picked without replacement from {z: 4, g: 7, w: 4}?
8/105
Calculate prob of sequence rrar when four letters picked without replacement from {v: 4, a: 1, r: 3}.
1/280
Calculate prob of sequence kafk when four letters picked without replacement from {q: 1, a: 6, c: 3, f: 1, k: 3}.
3/2002
Four letters picked without replacement from {c: 2, i: 4, l: 1, d: 2}. What is prob of sequence dlcc?
1/756
Three letters picked without replacement from yiyyyuynuyybbw. What is prob of sequence wyy?
1/52
Two letters picked without replacement from {x: 2, i: 1, j: 4, m: 1}. What is prob of sequence ij?
1/14
Three letters picked without replacement from ppppgpgggppppggggppg. What is prob of sequence ppp?
11/76
Calculate prob of sequence mmm when three letters picked without replacement from {m: 4, t: 3}.
4/35
What is prob of sequence aml when three letters picked without replacement from {v: 1, m: 1, u: 3, a: 3, l: 1, y: 2}?
1/330
What is prob of sequence rvjo when four letters picked without replacement from {r: 3, o: 3, v: 2, j: 5}?
3/572
What is prob of sequence scc when three letters picked without replacement from ccsss?
1/10
Three letters picked without replacement from cceiiecdecmmcciieccd. What is prob of sequence edm?
2/855
Three letters picked without replacement from {d: 5, m: 5, l: 2}. Give prob of sequence mll.
1/132
Four letters picked without replacement from aaqaaaqqaqa. What is prob of sequence qqqq?
1/330
Calculate prob of sequence ak when two letters picked without replacement from kkakakkkkaakyk.
18/91
Four letters picked without replacement from {w: 1, m: 3, d: 1, f: 1, p: 1}. Give prob of sequence dmpm.
1/140
Three letters picked without replacement from {p: 8, v: 9, n: 2}. Give prob of sequence vpn.
8/323
What is prob of sequence flm when three letters picked without replacement from lfnnmrv?
1/210
Two letters picked without replacement from mhbmpvvvpvyvhmm. What is prob of sequence yb?
1/210
Three letters picked without replacement from zezxxxxezz. Give prob of sequence zze.
1/30
Three letters picked without replacement from {v: 1, p: 3, i: 3, z: 1, x: 1, o: 2}. What is prob of sequence vpo?
1/165
Calculate prob of sequence pj when two letters picked without replacement from tpjjpttttj.
1/15
What is prob of sequence pj when two letters picked without replacement from {p: 4, j: 10}?
20/91
Four letters picked without replacement from icveiieviwvcivkvk. What is prob of sequence vvki?
5/1428
What is prob of sequence ms when two letters picked without replacement from {y: 1, c: 3, b: 3, e: 1, m: 2, s: 1}?
1/55
Four letters picked without replacement from {y: 4, c: 1, q: 1, h: 1, n: 1}. What is prob of sequence ynqh?
1/420
Two letters picked without replacement from xxerxxxwxrrcererwx. Give prob of sequence xx.
7/51
Calculate prob of sequence jjyj when four letters picked without replacement from {z: 2, y: 5, f: 3, j: 7}.
5/272
Three letters picked without replacement from {d: 1, h: 2, m: 8, q: 2, v: 1
|
{
"pile_set_name": "DM Mathematics"
}
|
et i = -65/333 - v. What is the second smallest value in i, -3, g?
i
Let x be (-9)/(-12) - (-1)/(-2). Let u = 4 + -4.1. Let g = u - -0.3. Which is the smallest value? (a) x (b) -2/7 (c) g
b
Let m(k) = -k + 11. Let v be m(7). Suppose -v - 2 = -2*h. What is the third smallest value in -2/5, 0, h?
h
Let h = -56 - -279/5. Let g = -0.18 - 0.32. Let m be 2/(-14)*(2 + 1). What is the biggest value in g, h, m?
h
Let v = 5 - 9. Let b = -9 - v. What is the biggest value in 3, 1, b?
3
Let t = 0.7 + -0.4. Let x = t - -0.7. Let r = 0 + 0. What is the second smallest value in x, -3, r?
r
Let o(p) = p**3 - 5*p**2 - 6*p - 5. Let v be o(6). Suppose 0 = -4*h + h + 48. Let l be (-6)/(-9)*(-3)/h. Which is the second biggest value? (a) v (b) l (c) 3
b
Let w = -0.17 + 2.17. What is the smallest value in w, 5, 3/5?
3/5
Let u = 4.1 + -1.1. Let h = 2/13 + 3/65. Which is the third biggest value? (a) u (b) -0.1 (c) h
b
Let r(n) = n**3 + 4*n**2 + 4*n + 2. Let d = -16 + 14. Let s be r(d). What is the smallest value in s, -3/2, 2/41?
-3/2
Let y = 0.9 + -0.94. Let v = -0.16 + y. What is the second smallest value in 1/3, v, -0.3?
v
Let h be 4/10 + (-22)/(-20). Let r = -12.3 + 8.4. Let p = -0.1 + r. Which is the third biggest value? (a) p (b) h (c) -0.4
a
Let c = -29/90 + 1/10. Let d = -447 - -448. What is the biggest value in 2/19, d, c?
d
Let q = -2 + 1.6. Let d = 1/32 - 5/32. Which is the smallest value? (a) -2/7 (b) q (c) d
b
Let f = 2.855 + 0.145. Let y be 1*-6 + 0 + 1. Let s be y*(-1)/(-3) - -1. Which is the smallest value? (a) f (b) s (c) -1/6
b
Let g be 3*(-1)/(-2)*-2. Let i be (-2 - -8)/(6/4). What is the third smallest value in i, g, -0.5?
i
Let s = 9 - 6. Let u = -0.3 - -0.5. Which is the third smallest value? (a) s (b) u (c) 0.3
a
Let b = -5 - -4.6. Let a = -0.7 - b. Let o = -2 + 1.9. What is the second smallest value in a, 0.3, o?
o
Let y be (-3 - -3)*(-2)/4. Let q(d) = -d - 3. Let i be q(0). Let w be ((-2)/26)/(i/6). Which is the smallest value? (a) y (b) -0.1 (c) w
b
Let r = 2.5 - -0.5. Let z = r + -5. Which is the biggest value? (a) -0.2 (b) z (c) 0.1
c
Let i = -0.43 - -0.23. Which is the third smallest value? (a) -4 (b) 0.21 (c) i
b
Let d be (-3 + 5)/((-7)/2). What is the biggest value in -0.1, -0.4, d?
-0.1
Let k = -0.03 + -0.57. Let y = k + -4.4. Let m = 0.06 + 3.94. Which is the smallest value? (a) m (b) y (c) 1
b
Let u = 32 + -226/7. Let d = 0.3 - 0.8. Which is the third smallest value? (a) -6 (b) d (c) u
c
Let c = 0.7 - -2.3. Let d(l) = l**2 - 4*l + 1. Let v be d(2). Let r be 2*v/12 + 2. What is the third biggest value in c, r, 0.2?
0.2
Let y be (45/60)/((-18)/16). Let l = -7.6 - -7. Which is the third biggest value? (a) l (b) -3 (c) y
b
Let a = -13.08 - -0.08. Let q = a + 19. Let t = q + -6.1. What is the second smallest value in 2/7, 1/7, t?
1/7
Let l = -1502 + -87388. Let a = l - -801524/9. Let p = a - 168. What is the biggest value in p, 1/6, 3/4?
3/4
Let m = 2 + 2. Let p = 2 - m. Which is the biggest value? (a) p (b) 0.2 (c) 2
c
Let f = -2/15 + 11/45. Which is the third biggest value? (a) f (b) 4 (c) 3
a
Let f = 3 + -2.9. Let i(n) = 3*n - 1 + 0*n - 5*n + 11. Let l be i(5). Which is the smallest value? (a) l (b) -4 (c) f
b
Let i = -3 + 5. Let w be (-3)/(-7) - 93/217. What is the third smallest value in w, 4/3, i?
i
Let m = 9 - 8.93. Let z = m + -3.07. What is the third biggest value in 2, z, -3/2?
z
Let f = -1/164 - -345/2788. Let w = -3.07 - -0.07. Let i = 0.9 + 0.1. Which is the biggest value? (a) f (b) w (c) i
c
Let x = 1.4 - -3.6. Which is the third biggest value? (a) x (b) -9 (c) 2
b
Let l = 0.15 - -0.15. What is the second biggest value in l, 0.5, 8/7?
0.5
Let w = 473/15 + -156/5. What is the second biggest value in w, -1, 7?
w
Let g = -76 - -76.2. Which is the third smallest value? (a) 2 (b) g (c) 0.8
a
Let x = -124 - -118. What is the third smallest value in 2/7, -4/9, x?
2/7
Let w = 0 - 0.5. What is the smallest value in w, -2/9, 0.5?
w
Let w = -8 - -5. Let v = -0.12 - -0.1. Let d = v - 0.28. What is the third smallest value in w, -0.1, d?
-0.1
Let x = 8 - 8.5. What is the second biggest value in -0.4, x, 4?
-0.4
Let d = -1 - 2. Suppose -4*t = -12 - 0. What is the biggest value in t, d, 4?
4
Suppose 8*t - 3*t - 118 = -c, -4*t - 4*c + 104 = 0. Let h = t + -20. What is the smallest value in -4, -2, h?
-4
Let o = -0.3 + 0.5. Let p = o - 0.1. Let z = 8 - 13. Which is the third biggest value? (a) p (b) z (c) -2
b
Let a = -12.71 - 0.29. Let m = a + 9. What is the second smallest value in m, -3, 5?
-3
Let y = -14 + 11. What is the second biggest value in y, 2, 8?
2
Let y = 12 + -8. Which is the smallest value? (a) 3 (b) -2/7 (c) y
b
Let k = 392 - 9014/23. Which is the third biggest value? (a) 3/5 (b) k (c) -2/3
c
Suppose 12*f - 8*f = 0. Let z = -133 + 927/7. Which is the third biggest value? (a) -0.4 (b) f (c) z
c
Suppose 2 = g + 3. Let m = -0.22 + 0.3. Let u = -0.02 - m. What is the second biggest value in u, 5, g?
u
Let a = 30.4 - 28. Let n = a - 2. Let f = 4.2 + -4. What is the smallest value in 0.3, f, n?
f
Let y = 4 + -4. Which is the smallest value? (a) -0.4 (b) y (c) 0.4
a
Let m = -2.5 - -2.5. What is the smallest value in m, -1/3, -37?
-37
Let z = 0.379 + 0.021. What is the third biggest value in 0, z, 9?
0
Let y = -1.91 + -0.09. Let u = y + 2.5. Let i be 48/(-9) + (-1)/(-3). What is the second smallest value in u, -5/6, i?
-5/6
Let p = 5/13 + -85/52. Which is the second biggest value? (a) -4 (b) 0.3 (c) p
c
Let r(n) = 2*n - 6. Let q(l) = -1. Let t(m) = -3*q(m) + r(m). Let p be t(3). Which is the smallest value? (a) p (b) -0.1 (c) -1
c
Let t = -747/5 + 150. What is the smallest value in -2, t, -1, 5?
-2
Let v be (-5)/(-20) + 0/(-2). Which is the biggest value? (a) 0 (b) v (c) -0.3
b
Let p be -1 - (16/(-6) - -2). Let k = 2 - 5. What is the third biggest value in -2, k, p?
k
Let y = -7/17 + 55/51. What is the second smallest value in 3, -0.05, y?
y
Let v = -11 - -10.6. Let c = 0.8 + -0.7. What is the smallest value in v, -3/5, c?
-3/5
Let g(z) = -z**3 - z + 2. Let f be g(0). Suppose -5*j - 50 = -10*j. Suppose b - 2*y - y = 16, -f*y = j. What is the smallest value in -2, -1, b?
-2
Let g = 0.142 + 0.358. What is the smallest value in g, 0.4, 1/5, -4?
-4
Let j = 10 - 16. Let p = j - -8. Let u be (8/(-110))/(p/5). What is the third biggest value in u, 3, -1?
-1
Let j = 319 - 2238/7. What is the biggest value in -2/7, j, -0.4?
-2/7
Let w = 0.008 - -24.992. Let m = -24.6 + w. Which is the smallest value? (a) -5 (b) m (c) -0.2
a
Let s = 2.6 - 1.9. What is the second biggest value in s, 2, -1?
s
Let k = 19 + -16. What is the biggest value in -2/21, -4/5, 2, k?
k
Let u = -0.4 + 0.6. Which is the third smallest value? (a) -1/6 (b) 4 (c) u
b
Suppose 5*y - 8*y = -15. Which is the smallest value? (a) 1/6 (b) y (c) 1/7
c
Let p = 6.5 - 2. Let m = 5 - p. What is the third biggest value in m, -5, 0.4?
-5
Let s = 90 - 89.7. Which is the second smallest value? (a) s (b) -2 (c) -0.1 (d) -3
b
Suppose o = 4*l + 21 + 58, -17 = 2*l - 5*o. Let t = l - -21. Which is the smallest value? (a) -2 (b) 3 (c) t
a
Let j = 6 + -6.3. Which is the third smallest value? (a) -1/3 (b) 0.1 (c) j
b
Let w = 5.31 - 5.3. What is the second smallest value in 3/7, w, 0.2?
0.2
Let i = -0.2 - 0.3. Let v = -18 - -18.1. What is the smallest value in v, 0, i?
i
Let p(i) = -i**2 - 7*i - 5. Let w be p(-5). Let c(z) = 2*z**2 - 4*z - 1. Let r be c(4). Let m = 14 - r. What is the third smallest value in m, w, 1/5?
w
Let l(z) = -2*z**3 + 2*z**2 - 2*z + 2. Let f be l(2). Let a be (-11)/f + (-8)/(-20). Let s = -4.01 - -0.01. What is the second biggest value in -0.5, a, s?
-0.5
Let j = 13 - 21. Let u = -8 - j. Which is the second smallest value? (a) u (b) -0.3 (c) 1/4
a
Let h = -77/5 + 1781/115. Let z = 0.5 + -0.2. Let g = 0.7 + z. What is the second smallest value in g, h, -5?
h
Let l be (15/36)/5*-2. What is the third biggest value in -1, l, 0.06?
-1
Let l = 8.8 + -6.8. What is the smallest value in l, -3/4, -5?
-5
Let t = 1.8 + -1.3. Which is the third biggest value? (a) t (b) -3 (c) 0
b
Suppose -u - 36 = 2*u. Let j = u + 121/10. What is the third smallest value in 4, 0.4, j?
4
Let o be 1/(
|
{
"pile_set_name": "DM Mathematics"
}
|
).
7
Let z = 6553 + -6556. Let h(g) = -4*g - 1. Give h(z).
11
Suppose 2*s + 2*s - 16 = 0, 0 = 5*h - s - 176. Suppose h = -0*z + 4*z + t, 2 = z + 2*t. Let w(u) = u + 4. Calculate w(z).
14
Let g(i) be the first derivative of -i**3/3 + 2*i**2 - 3*i - 2. Suppose 0 = -d + 4. Suppose 3 + 0 = d*y - m, -2*y = -m + 1. Calculate g(y).
1
Let o = -54 + 61. Let s(q) be the first derivative of -q**4/4 + 2*q**3 + 7*q**2/2 + 4*q - 51. Calculate s(o).
4
Let m(a) = -34*a + 933 - 538 - 20*a - 79*a. Determine m(3).
-4
Suppose -17*q - 298 = -94. Let g be (0/(-1))/(q + 10 + 1). Let x(y) be the third derivative of -y**5/60 - y**4/24 + 13*y**3/6 + y**2. Calculate x(g).
13
Let h(n) be the third derivative of -n**6/72 + n**5/60 + 5*n**4/8 + 13*n**3/6 + 345*n**2. Let m(j) be the second derivative of h(j). Give m(4).
-38
Let z(s) be the first derivative of -s**3/3 + 10*s**2 - 111*s - 3656. Determine z(13).
-20
Let s(r) = -156*r + 125. Let u(l) = 125*l - 105. Let f(j) = 4*s(j) + 5*u(j). Let n = -9 - -17. Determine f(n).
-17
Let f = 18 - -12. Let a be (-10)/f*(1 + (-1 - -3)). Let v(w) be the third derivative of 7*w**4/24 - w**3/6 + 3*w**2. Give v(a).
-8
Suppose 5*p = -3*j - 2, -3*j - 3*p + 5 = -1. Let k(y) = 7*y - 15*y**3 + 10*y**3 - 1 - 8*y**2 + j*y**3 + 16*y**2. Determine k(-7).
-1
Let r(j) = 13869*j - 1139. Let a(u) = 73*u - 6. Let h(m) = 1139*a(m) - 6*r(m). Calculate h(-1).
67
Let a(v) = -4*v**2 + 22*v - 8. Let r be a(5). Let t(x) = 2*x + 3*x**3 - 2*x**3 - 66 + 67 + 4*x**r. Calculate t(-4).
-7
Suppose -6*h + 170 - 194 = 0. Let c(u) = u**3 + 5*u**2 - 2*u + 4. Determine c(h).
28
Let k(u) = u**3 - 9*u**2 - 2*u + 78. Let y be k(8). Let a(h) = 4*h + 14. What is a(y)?
6
Suppose l + 28 = 3*b, -b + l = -1 - 7. Suppose 2*i - 2*d - 14 = b, -40 = -4*i + 2*d. Let c(t) = -9*t - 4*t**2 + 4*t + t**3 - i + 5. What is c(5)?
-3
Let o(p) be the first derivative of 9*p**4/4 - p**3/3 - 3*p**2/2 - p + 4463. Suppose 6*f - 5*f = -1. Calculate o(f).
-8
Let h(l) = -l**3 + 12*l**2 - l + 12. Suppose -3*v - 4*x = -60, 2*x - 22 = -3*v + 26. Determine h(v).
0
Let h be 2/2*(26 - 26). Let d(r) = 2*r - 17. What is d(h)?
-17
Let m(o) = -o**3 + o**2 + 3*o + 1. Let b(y) = -6 - 6*y - 4*y**2 + 380*y**3 - 8 - 377*y**3. Let x(f) = -b(f) - 2*m(f). Give x(0).
12
Let o = 1 - 0. Let q be -8 + o + 0/1. Let d(h) = -52*h + 24. Let k(s) = 19*s - 8. Let l(g) = -4*d(g) - 11*k(g). Calculate l(q).
-1
Let g(f) be the second derivative of 3/2*f**2 + f + 0 + 1/4*f**4 - 1/2*f**3 - 1/20*f**5. Suppose -116*b + 207 + 141 = 0. What is g(b)?
-6
Let c = -1088 - -1091. Let g(n) = n**3 + 4*n - 5. Determine g(c).
34
Let h(s) = 14*s**2 + 53*s - 3. Let u be h(-4). Let i(j) = 2*j**2 - 11*j - 3. Give i(u).
60
Let a = -152 - -152. Suppose a = -74*j + 70*j - 24. Let u(i) = -i**2 - 6*i + 5. Calculate u(j).
5
Let u be 0 + 5 + (78/3)/2. Suppose 3*a + 3*w - u = 0, 6*w = -2*a + 2*w + 10. Let b(j) = 9*j + 0 - 7 - 2 + 2*j**2 - 3*j**2. What is b(a)?
5
Let j(i) = i**3 + 13*i**2 - 13*i + 19. Let x be (171/24 - 7) + (-1017)/72. What is j(x)?
5
Suppose w = 5*w + i - 106, -w + 4*i + 18 = 0. Let x(t) = 2*t + 2 + w - 20. Calculate x(-9).
-10
Let s(j) = -j**3 - 7*j**2 - 13*j - 10. Let p be s(-5). Let b(o) be the third derivative of -o**5/60 + 5*o**4/24 - 54*o**2. What is b(p)?
0
Let g(h) be the third derivative of h**5/60 + 5*h**4/12 + 2*h**3 - 13*h**2 - h. Suppose 5*s = -s - 48. Give g(s).
-4
Let b(d) be the first derivative of d**3/3 + 2*d**2 - 4*d - 1. Suppose 0 = -5*x - 3*o - 33, 540*o = 4*x + 550*o + 34. Determine b(x).
8
Let w(m) be the first derivative of -2/3*m**3 - m**2 + 201 + 3*m. Let v(c) = -c**2 - 5*c + 2. Let a be v(-5). Give w(a).
-9
Let h(x) = 15*x + 18*x + 17 - 21 - 34*x - 48. Determine h(-24).
-28
Suppose 0 = -3*q + j + 18, -3*j + 18 = 9*q - 10*q. Let v(o) = 31*o - 282. Determine v(q).
-3
Let l(o) be the second derivative of o**5/20 + 5*o**4/4 + o**3/3 + 8*o**2 - 221*o + 4. Determine l(-15).
-14
Let f(m) = -10 - 16 - 14 + 57 - m - 16. Calculate f(11).
-10
Let n(m) be the third derivative of 17*m**5/60 + m**4/8 + m**3/6 - 3992*m**2. Calculate n(-2).
63
Let f(t) = t**3 - 11*t**2 + 28*t - 28. Suppose 50 = 5*j + 4*v + 30, -5*j - v + 35 = 0. What is f(j)?
4
Let k(b) = 5 - 10*b**2 + 8*b + b**3 + 0*b**3 + 3. Let o = 46 + -106. Let s be (0 - -1 - (-24)/o)*15. Give k(s).
-1
Suppose 0 = -4*y + 5*x + 28, -2*y + 3*x - 48 = -5*y. Suppose 2*z = -3*t + 1, -y = 5*z + 8. Let q(c) = 0*c + t*c - c - 1 - 3*c. Calculate q(-5).
4
Let k(f) = -5*f**3 + 31*f**2 - 3*f + 1. Let g be k(6). Let w(j) = j**3 - 15*j**2 - 77*j + 24. Determine w(g).
5
Let y(n) = -n**2 + 23*n - 20. Suppose 2*p - 3*t = -7*t - 1592, -2388 = 3*p + 4*t. Let u = -774 - p. Give y(u).
2
Let v(f) = 5 - 4299*f + 1435*f + 1429*f + 28 + 1440*f. Calculate v(-15).
-42
Let s(u) = 2635 + u**2 + 18*u - 1319 - 1312. Calculate s(-8).
-76
Let h(n) = 7*n**3 - n**2. Let f = 138 + -47. Let s = f + -90. Suppose z = -0*z - s. Calculate h(z).
-8
Let w(x) = x**3 - 8*x**2 + 10*x + 1. Suppose 0 = j - 24*j - 1150. Let f be (-3460)/(-500) + (-4)/j. What is w(f)?
22
Let h(l) = l**2 - 7*l + 1. Let g(n) = n**2 - 7*n + 1. Let q(z) = -4*g(z) + 5*h(z). Let c(r) = -7*r - 39 - 93 + 22*r. Let f be c(9). What is q(f)?
-11
Let m(u) = -25 - 7*u + 116 + 46 + 174 - 33. Give m(40).
-2
Let q(w) = 95*w**2 + 186*w. Let t be q(-2). Let x(a) = -5*a + 41. Calculate x(t).
1
Suppose 2 = 3*o - 4. Let i(n) = -5*n**2 - 8*n - 4. Let y(p) = p + 1. Let v(a) = -i(a) - 6*y(a). Give v(o).
22
Let y(n) = -23*n + 25. Let q be y(1). Let x(k) = -2*k - 1. Let u(a) = -2*a**2 + 15*a + 5. Let m(h) = -u(h) - 6*x(h). Calculate m(q).
3
Let c(s) = 12*s - 50. Let p(v) = -6*v + 25. Let r(d) = -4*c(d) - 9*p(d). Let u = 3 + 1. Let n be r(u). Let m(k) = -4*k**2 + 1. Give m(n).
-3
Let s(z) = -z**2 - 4*z. Let r(x) = 700 + 4*x - 700 + x**2. Let d(g) = -4*r(g) - 3*s(g). Calculate d(-5).
-5
Suppose 5*x + 8*s = 11*s + 359, x - 82 = 4*s. Suppose 0 = -8*y + y - x. Let r(p) = -p - 9. Calculate r(y).
1
Let w(v) = 85*v + 1. Let x(l) = l**3 + 33*l**2 + 194*l + 83. Let b be x(-7). What is w(b)?
-84
Let x be ((-12)/(-21))/(4/2478). Suppose -14*b - 45*b = x. Let l(u) be the second derivative of u**3/3 + 3*u**2/2 - u. Calculate l(b).
-9
Let c(g) = -g**3 + 58346*g + 6*g**2 - 58346*g + 1. Let n = -17 - -12. Let u be ((-4)/n)/(6/45). What is c(u)?
1
Let x(f) = 6*f**3 - 5*f + 2. Let w(q) = 14*q**3 - 12*q + 6. Let s(i) = -2*w(i) + 5*x(i). Give s(-1).
-3
Let u(v) = 7*v**2 + 134*v + 9. Let t(f) = 8*f**2 + 168*f + 10. Let q(r) = -4*t(r) + 5*u(r). Calculate q(0).
5
Let j(l) = 3*l**2 - 3*l + 13. Suppose -a + 5*r + 13 = 0, 425*a - 423*a = -2*r + 2. What is j(a)?
31
Let c(a) = -3*a - 34. Suppose 9*q + 5*m - 5 = 13*q, -m = -5*q - 22. Determine c(q).
-19
Let y(u) = -9*u**2 + u - 1. Let m(g) = 16*g**2 - g + 1. Let c(n) = -4*m(n) - 7*y(n). Suppose -2*h + 5 = -h. Suppose h*j = -8 - 17. Calculate c(j).
-7
Let m = 9 - 20. Let t(r) = -r**2 - 11*r - 17. Determine t(m).
-17
Let z(n) = -n**2 - 9*n - 4. Suppose -7*r - 1998 = -r. Let w = r + 329. Calculate z(w).
16
Let b be (15 - 1)/(-4 + 2). Let q(o) = 2*o + 12. Let k be q(b). Let x(w) = w - 3. Let a(z) = z. Let m(n) = -6*a(n) + x(n). Determine m(k).
7
Let x(f) = -f**3 + 7*f**2 - 5*f - 3. Let s(t) = -21*t**2 + t + 4. Let m(n) = 1. Let v(z) = -2*m(z) + s(z). Let l be v(2). Let q = l - -84. Determine x(q).
25
Let o(h) be the second derivative of h**4/12 + h**3 + 3*h**2 + 608*h. What is o(-5)?
1
Let b = -50 + 44. Let t(j) = j**3 + 6*j**2 + 11. Let m be t(b). Suppose -m + 6 = 5*r. Let z(u) = -2*u + 1. Give z(r).
3
Suppose -3*s + 33 = -3*r, -s - 24 = -429*r + 433*r. Let p(b) = 2*b + 15. What is p(r)?
1
Let z(d) = 2*d - 172. Let s(m) = -8*m + 170. Let t(j) = -3*s(j) - 2*z(j). Calculate t(8).
-6
Let y = 6889 - 6883. Let n(a) = a**3 - 5*a**2 - 6*a + 13. Determine n(y).
13
Suppose 115 + 56 = -3*u. Let y = u - -64. Let j(i) = i**2 - 9*i + 12. Determine j(y).
-2
Let x(c) = 3*c + 4. Let y be x(-2). Let p(b) = -9*b**3 + 9*b**2 - 26*b - 9. Let w(u) = -2*u**3 + 2*u**2 - 6*u - 2. Let a(k) = 6*p(k) - 26*w(k). Determine a(y).
22
Let w(q) = -2*q**3 + 60*q**2 + 197*q + 37. Let k be w(33). Let n(h) = -h**3 - 2*h**2 + 4*h - 2. Calculate n(k).
-82
Let i be 0 - 4/58 - (-96)/1392. Let x(a) = a**2 + 3*a - 102. Determine x(i).
-102
Let i(y) = y**3 - 17*y**2 - y + 19. Let b(x) =
|
{
"pile_set_name": "DM Mathematics"
}
|
Let u = -2/567 - -9263/567. Find the common denominator of u and 1/(18/(-267)) - (w - 11).
6
Let y = 397/4 + -17833/180. Calculate the common denominator of 33/80 and y.
720
Find the common denominator of (-14)/1330*(-115)/(-8) and -37/64.
1216
Let j(a) be the second derivative of a**5/20 + a**4/6 + a**3/6 + 12*a**2 - 11*a. What is the smallest common multiple of 16 and j(0)?
48
Let p(o) = o**3 - 4*o**2 - 3*o - 10. Let j be p(7). Calculate the common denominator of -101/10 and 6/(-36)*(j - 0).
30
Let r = -47 - 71. Let y = 206 + r. Calculate the smallest common multiple of 6 and y.
264
Calculate the common denominator of -97/260 and ((-835)/150 - -9) + 4/6.
260
Let z = -13419/10 + 1346. Let t = 25553/12 - 748219/132. Let l = -3535 - t. Calculate the common denominator of z and l.
110
Suppose -5*b + 10 = -3*b + 5*i, 5*i + 15 = 3*b. Suppose -2*u = b*r - 54 + 9, 2*u - 24 = 2*r. Calculate the smallest common multiple of u and 9.
45
Let s = -35 + 45. Suppose 7*z - s = 6*z. Calculate the smallest common multiple of 3*4/10*65 and z.
390
Let q = 45989/6920 + -18/865. Calculate the common denominator of 47/36 and q.
72
Let t be (-3 + 7)*(-24)/(-4). Let h = t - 38. Calculate the common denominator of -61/5 and ((-2)/(-10))/(h/(-245)).
10
Suppose -5*w - 69 = -219. Let v(x) = -x**3 + 3*x**2 + 5*x. Let p be v(5). What is the lowest common multiple of 4 and w/p*30/(-9)?
4
Let g(d) = -d + 5. Let z = 144 - 149. Calculate the smallest common multiple of 6 and g(z).
30
Let u = -617351/34 - -18156. Let c = -29/187 - u. Calculate the common denominator of 5/(-6)*(-339)/(-30) and c.
132
Let a(s) = -2*s**2 + 3*s + 1. Suppose -3*n + 21 = 5*t - 7*t, 2*t + 1 = -n. Let m be a(t). Let z = -24 - m. What is the smallest common multiple of z and 54?
54
Calculate the smallest common multiple of 586 and ((-308)/264)/(2/(-24)).
4102
Let w(a) = -a**3 + 6*a**2 + 6*a - 7. Let k be w(6). Suppose -k = -4*q - 9. Suppose -q*i + 40 = -0*i. Calculate the least common multiple of i and 10.
40
Let g be (0 - 3/(-6))*-6. What is the common denominator of -23/6 and (-143)/66*-5*(-1)/g?
18
Let p(r) = -r**2 - 5*r - 3. Suppose -8*z = 129 - 137. Calculate the least common multiple of p(-4) and z.
1
Let r(b) = -160*b. Let k be r(-7). Let d = -389 + k. Find the common denominator of 10/25 + d/(-90) and 3/22.
198
Suppose -3*v + 52 = -650. Let p = v - 1879/8. Find the common denominator of p and -44/3.
24
Suppose -4*z = -15*z + 11. What is the common denominator of ((-110)/4 - z)*(-68)/(-561) and ((-1)/(-3))/(1/(-65))?
33
What is the lowest common multiple of 36 and -8 + 3 + 8 - (-1 + 3)?
36
Let q = 13 + -18. Let f(r) = -45*r - 11. Let p be f(11). What is the common denominator of q/25 + p/(-80) and 39/14?
56
Let v be 60/9 - 16/(-12). What is the smallest common multiple of (-2)/v + 205/20 and 14?
70
Let o be ((-234)/(-21))/((-1)/(-7)*1). Let c = -62 + o. Suppose -3*a + 10 = -26. Calculate the smallest common multiple of c and a.
48
Let v = 9 + -5. Let u = 26139/7 + -3727. Find the common denominator of v/(-22) + (-3236)/352 and u.
56
Suppose 3*i + 3*u = 24, 5*i - 48 = -4*u - 7. Suppose t + 400 = i*t. What is the lowest common multiple of 4 and t?
100
Let x(c) = -2*c + 6. Let p = 2 + -5. What is the least common multiple of x(p) and -12*(-2)/4 + 0?
12
Let m = 1042/145 - -2/145. Find the common denominator of (66/5)/(39/(-26)) and m.
5
Suppose -l = 4*t - 481, -9*l = -2*t - 10*l + 243. What is the lowest common multiple of t and 187?
1309
Let n = 23 + -63. Find the common denominator of (-4)/(n/6) - -11 and -39/11.
55
Let z = 5895/5302 + -16/241. Let v = -6 + 4. Find the common denominator of z and v/(-4) - 261/(-24).
88
Let l(r) = 6040*r + 5. Let o be l(-4). Let s = -71806/3 - o. Let d = s + -2000/9. Calculate the common denominator of -125/6 and d.
18
What is the common denominator of -149/30 and 2*(-532)/(-240) + 4/4?
30
Let c(u) = u**2 - 24*u + 145. Suppose 2*s - 4*s = -2*q - 30, 3*q - 45 = -2*s. Calculate the smallest common multiple of c(11) and s.
18
Let f = 3 + 1. Let u(v) = v. Let r be (-6)/(-1)*(-8)/(-6). Calculate the lowest common multiple of f and u(r).
8
Let i be 2/(-11) + 120/55. Suppose 3*k - 3*x = 5*k, i*k - 10 = 2*x. Suppose -k*n + 2*q = 2*n - 44, -2*n = -q - 18. What is the least common multiple of 2 and n?
8
Let r be ((-2)/3*(-1374)/(-4))/15. Let u = r + 23/5. Find the common denominator of -31/9 and u.
9
Let b be 9/27 - (-2)/((-52008)/30010). Let i = -1/394 - b. Find the common denominator of i and 3/13.
143
Let j be ((-21)/(-15))/(6/(-384)). Let x = j - -90. Calculate the common denominator of x and -67/4.
20
Suppose 5*t - 13 = 12. Suppose t*j = 2*u + u + 19, 2*u = 4*j - 16. Calculate the common denominator of u + 15/2 + 0 and -113/10.
10
Let m be (-6350)/45 + 2 + 0. Let s = m + 13123/90. Find the common denominator of s and 6664/1008 - 0/1.
90
Let n = -5658/5 - -51782/45. Let i = -409/36 + n. Find the common denominator of i and -77/74.
148
Suppose 0 = 8*p + p + 279. Let h = 42 + p. Calculate the smallest common multiple of h and 6.
66
Let b = 4473/688 - 78/43. Calculate the common denominator of b and -37/1134.
9072
Calculate the smallest common multiple of 126 and (-168)/(-324)*9*81.
378
Let s = 11 - -11. What is the smallest common multiple of s and 24?
264
Let i = -66 + 189. What is the least common multiple of 6 and i?
246
Let i(w) = -w + 14. Let a be i(10). Suppose -30 = -3*u + a*o, 0 = 3*u - 5*u + 5*o + 20. Let z(p) = p - 3. Calculate the lowest common multiple of 5 and z(u).
35
Suppose 15*v - 28 = 11*v. Suppose -2*y - 36 = -4*b, -55 = -4*b - 2*y - 11. What is the least common multiple of b and v?
70
Let y = -101257 + 16201193/160. Find the common denominator of y and -89/160.
160
Let a = -941/12 - -2735/36. Calculate the common denominator of 381/(-36)*(-2)/5 and a.
90
Let f be (2/2232)/(20/(-12)). Let a = f + -16507/930. Find the common denominator of a and 19/(-114) + (10/(-8) - -1).
12
Suppose 3*s - 15 = -0. Suppose -4*m + 2*z + 18 = 0, 0 = m + 7*z - 5*z - 2. Calculate the lowest common multiple of m and s.
20
Let t = -11 - -14. Suppose -4 = t*b - 10, 0 = n - b. What is the least common multiple of n and 18?
18
Suppose -z = 3*z - 16. Let h be z/10 + 1534/65. Calculate the common denominator of (-2)/h*504/(-27) and -15/14.
126
Suppose 2*k + 5*i = 4540, -3*i - 2292 = -2*k + k. Let h be 3/7 + k/70. What is the common denominator of 121/20 and 8/(-28) + h/(-56)?
40
Let g = -2134068/2528141 + -1/32833. Calculate the common denominator of -1/63 and g.
693
Suppose 0 = -4*y + 4*s - 0*s + 24, -2 = -2*y - 3*s. Let z(f) = -8*f - 35. Calculate the smallest common multiple of z(-5) and y.
20
Let f(i) = 103*i. Let g be f(1). Let w = g - 67. Let m = -14 + w. Calculate the smallest common multiple of m and 18.
198
Let p = 8175 + -130861/16. Calculate the common denominator of p and -91/74.
592
Let d = -12 + 12. Let y = 9 + d. What is the least common multiple of y and 1?
9
Suppose 5 = 9*q - 8*q. Suppose -s - m - m = -22, 0 = q*m - 20. Calculate the least common multiple of s and 12.
84
What is the common denominator of (-6)/32*-2*660/(-189) and 89/24?
168
Suppose -4*y = -4*m + 24 + 24, -m - 5*y + 36 = 0. Calculate the smallest common multiple of 896 and m.
896
Let l be ((27/2)/(-9) - -1)*74. What is the common denominator of -71/16 and (1/l)/(-2 + 360/177)?
592
Suppose -23 = -24*v + 73. Calculate the lowest common multiple of v and 289.
1156
Suppose -54*m = -8*m - 690. Calculate the least common multiple of 30 and m.
30
Suppose -2*p = p - 18. Let a(r) be the third derivative of r**4/4 - r**3 - 22*r**2 - 2. What is the lowest common multiple of a(p) and 6?
30
Let m = 8/2605 - -84421/502765. Calculate the common denominator of m and 23/8.
1544
Let x = -118 - -945/8. Find the common denominator of 113/42 and x.
168
Find the common denominator of -49/27 and 23/(-30)*6/48*4.
540
Suppose -3*z - 115 = 41. Let s = z - -66. Calculate the lowest common multiple of 5 and s.
70
Suppose 0 = -2*x + x + 2*v + 34, 28 = x - 4*v. Suppose -39 = -14*q + q. What is the smallest common multiple of x and q?
120
Suppose u + 0 + 8 = 0. Calculate the common denominator of (-7)/(-140) + (-1)/4 and 1660/u*(-2)/(-40).
40
Calculate the least common multiple of 8 and 485 + 15 + 12/(-2).
1976
Let y(c) = c**3
|
{
"pile_set_name": "DM Mathematics"
}
|
+ sqrt(152)/(sqrt(32)/sqrt(4))))*-2.
-38*sqrt(19)
Simplify (-3 + 6*6*(sqrt(700) + 0 + 3 + (2 + sqrt(700) + sqrt(700))*-2))**2*-5.
-40831605 - 421200*sqrt(7)
Simplify (-1*(6*sqrt(12)*-1 - 1*sqrt(192))/(sqrt(384)*2*-5*3))**2.
1/288
Simplify (2*(-2 + 2 + sqrt(432) + (sqrt(432) - (5 + -2*sqrt(432)))) + -1 + sqrt(432) + 1*sqrt(432) + -4 + 4)**2.
-2640*sqrt(3) + 43321
Simplify 0 + (-2*(sqrt(3456) - (sqrt(3456) - sqrt(3456)*2)*-3))/((sqrt(768) - -4*sqrt(768)*1)*5).
6*sqrt(2)/25
Simplify -1 + sqrt(336)/sqrt(3) + -5 + sqrt(7) + 2 + sqrt(28) + 1 + (1*((1*(-2 + sqrt(252)) - sqrt(252)) + sqrt(252)))**2.
-17*sqrt(7) + 253
Simplify (4 + -3*(2*sqrt(245) + sqrt(245) + -4) + (0 + sqrt(245))*-4 + 2*1*sqrt(245))**2.
-2464*sqrt(5) + 29901
Simplify (1*(-2*1*sqrt(500) + sqrt(500) - 1*(sqrt(245) + sqrt(245) + -4))*-5)**2.
-4800*sqrt(5) + 72400
Simplify (((sqrt(187) - -2*-3*sqrt(187)) + (sqrt(187) - -2*sqrt(187))*1)/(-1*sqrt(176) - (sqrt(44)/sqrt(4)*-4 + sqrt(11))))**2.
68
Simplify (-1 + (1 + sqrt(2057) + -4 + -4 - (-5 + (sqrt(2057) - (-2 + sqrt(2057)))*1)))**2*4.
-440*sqrt(17) + 8328
Simplify -4 + (2 + sqrt(1539))**2 + (4*sqrt(1539) + -3)**2 - (((sqrt(1539) + -4)*-4)**2 - (sqrt(1539) - (sqrt(1539) - (4 + (-4*sqrt(1539))**2 + sqrt(1539))))).
981*sqrt(19) + 25920
Simplify sqrt(1100) + -2 + 2 - (sqrt(1100) - (sqrt(1100) - (1 + sqrt(1100) + 3) - sqrt(1100))) - ((-5 + (sqrt(1100))**2 - (1 + sqrt(44))**2*-3) + 2).
-1236 - 22*sqrt(11)
Simplify (5*(5 + (-5*(-1 + sqrt(243)) + -4 - ((sqrt(243) + -1)*5 - (2 + sqrt(243) + 1)))) + -1)**2.
-55890*sqrt(3) + 496836
Simplify 1*(-1*(2*sqrt(176) - sqrt(176))**2*2 + 5 + (sqrt(704) - (sqrt(704) + 2 + 4)**2 - sqrt(704))) + -1.
-1088 - 96*sqrt(11)
Simplify (((sqrt(931) - 3*sqrt(931)*6)*1 - (-4 + (-3 + sqrt(931))*-3)) + 1)**2.
784*sqrt(19) + 182492
Simplify ((sqrt(504)/(-2*sqrt(8)) - (sqrt(63) + 1 + sqrt(252)/sqrt(4)))*3)**2 - (sqrt(63) + 2 + sqrt(1008) + sqrt(441)/(sqrt(252) - sqrt(7))).
597*sqrt(7)/5 + 14203/4
Simplify 4*(-5*-3*(-3 + 5 + 2 + sqrt(432) + -5))**2.
-21600*sqrt(3) + 389700
Simplify 4*(-1 + (sqrt(170) + (-2*sqrt(170) + sqrt(170) - sqrt(170) - sqrt(170))*-1 - 2*sqrt(170)*-1)/(sqrt(90)/(sqrt(27)/sqrt(3)) + 2*sqrt(490)))*5.
-20 + 8*sqrt(17)
Simplify 6*(1*-6*(sqrt(104)*2 - sqrt(104)))/(sqrt(8)*2*6 + (sqrt(200) - sqrt(200)*-1)).
-18*sqrt(13)/11
Simplify 6*((6*(sqrt(119) + sqrt(119)*1))/(sqrt(42)/(sqrt(18)/sqrt(3)) + sqrt(7) - sqrt(7)) + -1)*6 + 1 + 1.
-34 + 432*sqrt(17)
Simplify (3*(sqrt(1728) + -3)*-5 - 1*(sqrt(1728) + sqrt(1728) + sqrt(1728) + -1 + sqrt(1728)*-2))**2.
-35328*sqrt(3) + 444484
Simplify (3*(-3 + -4 + 0 + 2*sqrt(180)*4 + 4*(1 + sqrt(180) + -2)))**2.
-14256*sqrt(5) + 234369
Simplify -1 + ((1 + sqrt(242))**2*-3*2 - (sqrt(242) - (sqrt(242) + 2*sqrt(242)*-2 + sqrt(242)))**2*-2)*-2.
-5797 + 264*sqrt(2)
Simplify (1*sqrt(45)*6 + (sqrt(135)*-1)/sqrt(3) + sqrt(45))/(-3*sqrt(36)/sqrt(4) + sqrt(36)/(sqrt(4)*-3)).
-9*sqrt(5)/5
Simplify 6*(2*-1*sqrt(44) + sqrt(3564) + 2*sqrt(3564))/(sqrt(32)/(-2*sqrt(288))) + -5.
-1800*sqrt(11) - 5
Simplify (-1*(sqrt(76) - sqrt(76)*3) - sqrt(76) - 2*sqrt(76)*5)/(((sqrt(168)*-2)/sqrt(7))/(1*sqrt(216) + sqrt(216))).
54*sqrt(19)
Simplify (6*(((1*sqrt(400)*6)/sqrt(8))/(sqrt(360)/sqrt(4) + 1*-1*sqrt(10)) + -4))**2.
-864*sqrt(5) + 2196
Simplify ((sqrt(119) - 1*-2*sqrt(119)) + sqrt(119) - (sqrt(119) + sqrt(119)*1*1 + sqrt(119) + sqrt(119)))/(6*sqrt(343) - sqrt(7) - (sqrt(168)/sqrt(6))/sqrt(4)).
0
Simplify 5*((sqrt(252) + 0 + -2 - (-4 + -2 + sqrt(252))) + (sqrt(252) - (sqrt(252) + -2)*5)*-1 + 0)**2.
-1440*sqrt(7) + 20340
Simplify (5*sqrt(700)*5 + -1*(sqrt(700) + -1))**2 - (-4*((sqrt(700)*-2 + 1)**2 + sqrt(700)) + 2).
360*sqrt(7) + 414403
Simplify (-2*((3 + sqrt(539) + 0 + sqrt(539) - sqrt(539)) + (sqrt(539)*2 + -3 - sqrt(539))) - (5 + (1 + sqrt(539)*-1 - 4*sqrt(539)*1)))**2*-3.
-1725 + 252*sqrt(11)
Simplify (sqrt(95) + sqrt(95) + (-5*sqrt(95)*-6 - sqrt(95)) - (sqrt(95) - (sqrt(95) + 5*sqrt(95) - sqrt(95)))*-5)/((-4*(sqrt(25)*-4 - sqrt(25)))/sqrt(5)*-6).
-11*sqrt(19)/120
Simplify ((sqrt(54)/(sqrt(54)/sqrt(6)))/(6*sqrt(48)) + ((sqrt(2) + sqrt(512))*-2 - (sqrt(2) + -2 + sqrt(2) + 0 + sqrt(18)*-1 + sqrt(2))))**2.
-815*sqrt(2)/6 + 665377/288
Simplify 5*((-2 + (2*sqrt(1700)*4 - (-4 + (sqrt(1700) + sqrt(1700) + -4 - sqrt(1700)))))**2*-3 + 3).
-1250025 - 12600*sqrt(17)
Simplify (1 + sqrt(180) + -2 - -5*2*sqrt(180)) + 2 + -4 + -4.
-7 + 66*sqrt(5)
Simplify 5 + (-6*(0 + (-2*sqrt(756))/(1*sqrt(48))))**2.
2273
Simplify (-5*sqrt(112)*4 + 2*(sqrt(112) - (-3*sqrt(112) + sqrt(112))) + (sqrt(112) - sqrt(112)*-3)*2 + (sqrt(112) - 1*(sqrt(112) + sqrt(112)*2)))**2.
7168
Simplify (6*(-5*sqrt(3328) + sqrt(52))*-2)/(sqrt(8)/sqrt(128) + (sqrt(484)*5 - sqrt(4))).
3744*sqrt(13)/433
Simplify (sqrt(70)/(sqrt(2) - ((1*sqrt(10))/sqrt(5) - sqrt(2))))/(-1*sqrt(245) - (sqrt(50) + -2*sqrt(50))/sqrt(10))*6.
-sqrt(7)
Simplify 1 + (-3*1*(((sqrt(1539) - (1 + sqrt(1539))) + sqrt(1539))*1 + -4 + (sqrt(1539) + 2 + -3)*-4))**2.
486*sqrt(19) + 124669
Simplify 0 + -5*(-3 + 3 + sqrt(48) - (sqrt(48) - ((sqrt(48) + sqrt(48)*2 - sqrt(48))*-2)**2)) + -4.
-3844
Simplify sqrt(10)/(sqrt(128) - (sqrt(128) + -1*sqrt(128))) + -4*-1*sqrt(5)*-3 + (sqrt(2500) - sqrt(2500)*2)/(sqrt(80)*-2)*4.
-55*sqrt(5)/8
Simplify ((sqrt(500) + -2)*-1 - sqrt(500) - (-1 + sqrt(500))*6 - 3*-2*(sqrt(500) - 4*sqrt(500)))**2 + 5.
-4160*sqrt(5) + 338069
Simplify -1 + -3*(0 + (sqrt(245) + (sqrt(245)*-3 - sqrt(245)))**2 + 3)*-4*-5.
-132481
Simplify 0 + ((sqrt(2025)*1*6)/(sqrt(245)*1 - sqrt(320)*-2) + -5)**2.
-540*sqrt(5)/23 + 27805/529
Simplify ((2 + 1 + sqrt(396) + sqrt(396) + sqrt(396) + -5 - (1*-2*sqrt(396) + sqrt(396) - sqrt(396) - (-4 + 1 + sqrt(396)))) + 0)**2 + 3.
-360*sqrt(11) + 14284
Simplify (((sqrt(76) + -2*sqrt(76) - sqrt(76) - sqrt(76))*3*4)/((1*sqrt(4840))/sqrt(10)) + 3)*-5.
-15 + 180*sqrt(19)/11
Simplify -5*(-2*(2 + (1 + sqrt(605))**2) - -3*(sqrt(605) + (sqrt(605) - (sqrt(605)*2 + 3)**2)))*2.
3740*sqrt(5) + 85030
Simplify (-4*(((-2*sqrt(456))/sqrt(12))/(1*sqrt(8)) - (sqrt(95) - (2*sqrt(95) + sqrt(95))*-2)/(sqrt(500)*-1)))**2 + -4.
584/25
Simplify (2 + -6*(((sqrt(112) + 1)*-6 + sqrt(112) - sqrt(112)) + -6*sqrt(112)*-4 + sqrt(112)) + -3 + 4)**2.
-35568*sqrt(7) + 1457073
Simplify 1 + 2*((sqrt(612) + sqrt(612) + sqrt(612) + (6*(sqrt(612) + 0) - sqrt(612)))*-4)**2*-4*1.
-5013503
Simplify 3*((sqrt(243) + -1)*6 - (-5 + sqrt(243) + 1 + sqrt(243)))**2 - ((-5*-2*sqrt(12))**2 + -1 + (sqrt(54)/sqrt(3))/sqrt(6)).
-433*sqrt(3) + 10477
Simplify (-1 + 2*(2 + sqrt(200)))**2 + (3 + (sqrt(200) - sqrt(200)*1) + 5)**2 + -2.
120*sqrt(2) + 871
Simplify (2*(1*(sqrt(275) - (-1*sqrt(275) + 0)) - ((sqrt(275) - (-1*sqrt(275) + 0)) + 5 + 2*sqrt(275))))**2.
400*sqrt(11) + 4500
Simplify (-4 + 3 + 2*(sqrt(128) + (3 + sqrt(128) + -1 - sqrt(128)) + sqrt(128) + -1*1*sqrt(128))*-2 + 2)**2.
448*sqrt(2) + 2097
Simplify (1*(sqrt(220) - sqrt(220)*2) - ((-3*sqrt(220) + sqrt(220) - sqrt(220))*3 - sqrt(220)))/((sqrt(720) + 2*(-2*sqrt(720) - sqrt(720)) + sqrt(720))*6).
-sqrt(11)/16
Simplify 2 + -4 + (sqrt(405)/(sqrt(441) + sqrt(441)*1))/(sqrt(45)/(sqrt(5) - sqrt(10)/sqrt(2)*-3)).
-2 + 2*sqrt(5)/7
Simplify (-2*-1*-2*sqrt(176)/sqrt(8))/(-6*sqrt(132)/(sqrt(12) + sqrt(48)*-3)).
-10*sqrt(2)/3
Simplify -4*(((2*sqrt(162))/sqrt(6))**2 + -2*(2*sqrt(12))**2 + 1 + -2).
-44
Simplify (-5*sqrt(475) + (sqrt(19) - (-1 + sqrt(19))*2) - ((sqrt(190) + -1*sqrt(190) + sqrt(190))*-6)/(sqrt(10) + -5*sqrt(160)))**2.
-2000*sqrt(19)/19 + 250076/19
Simplify (1 + ((sqrt(128) + -1)*-6 + -1 + -1 + sqrt(128))*-4)**2*-4.
-205700 + 19200*sqrt(2)
Simplify (5 + 5 + -5 + (sqrt(539) - 1*(sqrt(539) + sqrt(539)*2 - sqrt(539))) + 4)**2*-5.
-3100 + 630*sqrt(11)
Simplify ((-5*sqrt(300)*-1 + sqrt(300) - sqrt(300)) + (sqrt(300) + -1*sqrt(300))*-5)/((-2*sqrt(800))/(sqrt(2) + sqrt(72))) + -1.
-35*sqrt(3)/4 - 1
Simplify (-5 + sqrt(18)*-6)**2 + (sqrt(2) + sqrt(2) + 6*sqrt(18) + sqrt(2) - 1*sqrt(6)/sqrt(3)) + -1 + 1 + 2 + sqrt(288) + sqrt(288) + -1.
224*sqrt(2) + 674
Simplify (((sqrt(104) - (sqrt(104) + (-5*sqrt(104)*1 + sqrt(104) - sqrt(104)) + sqrt(104)) - -5*sqrt(104)*1)/(5*sqrt(32)/(sqrt(4)*-2)) + 3)*-4)**2.
-1728*sqrt(13)/5 + 70992/25
Simplify ((sqrt(209) - (sqrt(209) - 2*sqrt(209) - sqrt(209))*6)/((sqrt(44)*-3)/sqrt(4) - sqrt(11)))**2*-4*-5*5.
80275/4
|
{
"pile_set_name": "DM Mathematics"
}
|
*q**5
Expand (-4 + 7 - 1)*((3 - 3*x - 3)*(2*x + 3*x - 3*x) + (3*x - 4*x + 2*x + (-4 - 2 + 4)*(2*x + x - x) + x - 4 + 4)*(7*x - 4*x + x))*(-3*x**2 - 4*x**2 + 4*x**2).
84*x**4
Expand (3*b + 0*b + 0*b)*(-b + 5*b + 8*b)*(-5*b - 9*b + 7*b - 1 + 1 - 2*b + 0*b + 2*b + 0*b + (-b - 4*b + 4*b)*(-4 + 2 + 0) + b + 0*b + 0*b - 4*b + 3*b + 3*b).
-72*b**3
Expand (2 - 30 + 89)*(4*h - 4 + 4) - 5*h - 3*h + 4*h.
240*h
Expand (f**5 + 0*f**5 + 0*f**5)*(711 + 1043 + 4794).
6548*f**5
Expand (-d + 3*d - 4*d)*(d**2 + 471*d - 469*d + 2*d**2) + (-2*d**2 - 8*d**2 + 2*d**2)*(3*d + 0*d - 2*d).
-14*d**3 - 4*d**2
Expand (322*c**2 - 20*c**2 + 296*c**2)*(0 + 2 - 3)*(-c + 0 + 0).
598*c**3
Expand (3*l**3 - 3*l**2 + l**3 - 3*l**3)*(-4*l**2 - l**2 - l**2)*(-29 - 58 - 22).
654*l**5 - 1962*l**4
Expand (3 + 1 - 3)*(-6*q**2 + 2*q**2 + 5*q**2) + 5*q**2 - 2*q**2 - q**2 + (-7566 + 2817 + 3534)*(0*q**2 + 0*q**2 - 2*q**2).
2433*q**2
Expand (-5*d + 3*d + 3*d)*(9 - 1 + 2) + (-7*d - 6*d + d)*(-5 - 4 - 2).
142*d
Expand (5 - 5 + 6*i)*(2*i + i - 8*i) + (-4 + 4 - 2 - 3*i)*(14*i + i + 5*i).
-90*i**2 - 40*i
Expand (3 - 1 + 3)*(-4 + 2 + 0)*(3 + 0 - 2)*(45*v + 139*v + 6*v - 24*v).
-1660*v
Expand 13*w**4 + 14*w - 14*w + (w**2 - 4*w**2 + w**2)*(3*w**2 + 5*w + 3*w**2 - 8*w**2) - 15*w**4 + 2*w**4 + w**4.
5*w**4 - 10*w**3
Expand (90 - 441 - 912)*(16*g**3 + 13*g**3 - 18*g**3).
-13893*g**3
Expand (4 - 1 - 4)*(191*l - 465*l - 7*l**3 + 221*l - 2*l**2).
7*l**3 + 2*l**2 + 53*l
Expand (-77705*z - 644*z**3 + 77705*z)*(-2*z + 7*z - z).
-2576*z**4
Expand -1484*p**2 - 1530*p**2 + 3074*p**2 + (2 - 3 + 0)*(0 + 0 - 2*p**2) + 4*p**2 + 0*p**2 - 2*p**2 + (-3*p**2 + 3*p**2 - 2*p**2)*(4 + 1 - 3).
60*p**2
Expand ((-42 + 42 - 4*g)*(1 + 2 - 2) - 9*g - 36*g - 10*g)*(2 - 2 + 2*g).
-118*g**2
Expand (127*x**3 - 148*x + 148*x)*(5*x - 4*x - 2*x + (0 - x + 0)*(-5 + 4 + 2) + 0*x + 0*x - x - 2*x + 5*x - 5*x).
-635*x**4
Expand (6 - 6 + 10*d)*(2 - 2 - 1) + 48 - 48 + 32*d.
22*d
Expand (-2 - 5 + 3)*(-284 + 75 - 59)*(-2*z + 2*z + 5*z**2) + z**2 - 5*z + 5*z.
5361*z**2
Expand (8 - 3 + 1)*(8 + 5*f**2 - 21 + 14)*(-21 + 2 + 4).
-450*f**2 - 90
Expand (d + 1 - 1)*(-9652 - 3700*d - 1798*d + 19312 - 137862*d - 9660).
-143360*d**2
Expand 2*l**5 - 2*l**5 + 2*l**5 + (-37*l**2 - 49*l**2 + 9*l**2)*(1 + 2*l**3 - 1) + 8*l**5 + 8*l**5 - 14*l**5 + 2*l**5 + 0*l**5 + 0*l**5.
-148*l**5
Expand (221*b**2 + 26*b**3 - 221*b**2)*(5*b**2 - 5*b**2 + b**2) + (0 + 0 + 2*b**3)*(-2*b**2 - b**2 + 2*b**2) + 0*b**5 + b**5 - 4*b**5.
21*b**5
Expand ((-1 + 0 - 1)*(-k + k + 2*k) + k - 2*k + 2*k)*(10069 - 8454 - 5678).
12189*k
Expand (-3*c**4 - 3*c**4 + 3*c**4)*(-323 + 2312 + 855 - 605*c + 595*c).
30*c**5 - 8532*c**4
Expand (4*c - 4*c - 5*c**2 + (2 - 483*c - 957*c + 833*c)*(c - c + c))*(-6*c + c + 2*c).
1836*c**3 - 6*c**2
Expand q**4 + 2*q**4 + 0*q**4 + (9*q - 6 + 6)*(6*q**3 + 5*q**3 - 6*q**3).
48*q**4
Expand (3*v - 3*v - v**2)*(-2*v**2 + 6*v**2 - 3*v**2) + (2 + 1 + 2)*(-5*v**4 - v**4 + 10*v**4).
19*v**4
Expand (3*l + 2*l - 4*l)*(-23 - 14 + 8)*(-57 + 21*l + 57).
-609*l**2
Expand (1180 - 230 + 2049)*(0*q**4 + 0*q**4 - 2*q**4) + 0*q**2 + 0*q**2 - q**4.
-5999*q**4
Expand (2*b - b + 0*b + 2*b + 0 + 0 + (2*b + 1 - 1)*(-5 + 3 - 1))*(-2*b**2 + 5*b**2 + 0*b + 5*b) - 4*b**3 + 10*b**3 - 19*b**3.
-22*b**3 - 15*b**2
Expand (-3 - 3 + 1)*(-37 - 10 + 26)*(5*p - 11*p - 4*p).
-1050*p
Expand (0*u + 0*u - u**2)*(12*u + 12*u - 9*u) + 2307 + 75*u**3 - 2307.
60*u**3
Expand (6 + 3*q - 6)*(721 - 531 - 346)*(3*q - 1 + 1).
-1404*q**2
Expand (-2*s + 0*s - s)*(1 + 4 + 0) + 10*s + 5*s - 5*s.
-5*s
Expand (56*h**2 + 85*h**2 - 110*h**2)*((-2*h + 1 - 1)*(-3*h + h - h) - 1 + 1 - h**2 - h**2 + 6*h**2 + 0*h**2).
310*h**4
Expand (128*u - 7*u - 22*u)*(7 + 0 - 3)*(0 + 4 - 1)*(1 - 4 + 4).
1188*u
Expand (-2*l**3 + 5*l**3 - l**3)*(2*l - 1 + 1) - 3*l**4 + 0*l**4 + 2*l**4 + 3*l**4 + l**4 + 0*l**4 + 211*l**4 + 11*l**4 - 5*l**4.
224*l**4
Expand -m**2 + 2*m**2 + m**2 + 2*m**2 - 7*m**2 - 6*m**2 + (-m**2 + m**2 - m**2)*(5 - 6 + 2) + 857 - 857 + 57*m**2.
47*m**2
Expand (-811 + 327 + 772)*(4*m**3 - 4*m**3 + 5*m**4).
1440*m**4
Expand ((5 + y - 5)*(-1 + 1 - 2) - 199*y - 433 + 433)*(-5*y + 10*y - 10*y).
1005*y**2
Expand (-149*n**3 + 80685 - 80685)*(1 - 1 + 3*n - 3*n + n + n + (1 + 1 - 1)*(5*n - n - 3*n) - 2*n + 0 + 0 + 3*n + 3 - 3 + 0*n + 0*n + n).
-745*n**4
Expand (-2*j - 2*j + 2*j)*(-110*j**4 - 456 + 456).
220*j**5
Expand (-2 + 1 + 3)*(-2*f + 9*f + 0*f)*(-41*f - 272 + 272 + f + f - 3*f + (f + 2*f - f)*(0 + 5 - 3) + 3*f - 3*f - 2*f - 2*f - 3*f + 7*f)*(-3*f + 0*f + f).
1064*f**3
Expand -43*i**4 - 25*i**4 + 8*i**4 + (7*i**2 + 4 - 4)*(-3*i**2 + i**2 + 4*i**2).
-46*i**4
Expand (x + 1 - 1)*(-12 - 10 - 209) - 2*x - 9 - 134 - 15.
-233*x - 158
Expand (-161 - 15*n**2 + 161)*(591*n - 2 - 595*n + 83*n**2 - 239*n**2).
2340*n**4 + 60*n**3 + 30*n**2
Expand (3*k**2 - 52101*k**3 - 3*k**2 + 53832*k**3)*(3*k**2 - 5*k**2 + 0*k**2).
-3462*k**5
Expand (11763 + 44*r**2 - 11763)*(-8 + r**2 + 8)*(-4*r + 3*r + 2*r).
44*r**5
Expand 35*o + 1508 - 1508 + (1 - 1 - 2*o)*(-4 + 1 + 0)*(3 - 3 + 3 + (-1 - 3 + 3)*(0 - 4 + 5) - 2 + 0 + 1).
41*o
Expand (0 + 1 - 2)*(-68009*v + 29530*v + 17333*v).
21146*v
Expand (-373 - 42*a + 373)*(8*a**4 - a**4 - a**4) - 15*a**2 + 14*a**5 + 15*a**2.
-238*a**5
Expand (-3 + 0 + 2)*(-992*j**2 + 111*j**5 + 992*j**2) + 0 + 3*j**5 + 0.
-108*j**5
Expand 4*r - 4*r - r + (-3*r - 2*r + 6*r)*(1 + 0 + 2 + 3 - 6 + 2 + (-3 + 3 - 1)*(-9 - 127 - 137)).
274*r
Expand 7*z**2 - 4*z**2 + 3*z**2 + (0 + 2 - 4)*(4 + 5*z**2 - 4) + 2*z**2 + 4*z**2 - z**2 + (-3 + 3 - 2*z)*(4 + z - 4).
-z**2
Expand (-7 + 1 + 0)*(2 - 3 + 0)*(-3 + 3 - 6)*(9 + 3*v - 9 + 2) + v + 0*v + v.
-106*v - 72
Expand 2*o**3 - o**3 - 4*o**3 - 10836*o + 146*o**3 + 10836*o + 2*o - 2*o**3 - 2*o + (0*o - 4*o + o)*(o**2 + 0 + 0).
138*o**3
Expand (17 - 17 + 3*o)*(8214 - 8214 + 254*o**3 + (3*o**2 + o**2 - 3*o**2)*(3*o - 5*o + o)).
759*o**4
Expand (v + 3 - 3)*(-2*v**2 - 4*v**2 + 3*v**2) + 5*v**3 + 2*v**3 - 5*v**3 - 6720*v**2 - 151*v**3 + 6720*v**2.
-152*v**3
Expand (45*p - 43*p - 4 - 1)*(-147*p + 45*p - 194*p).
-592*p**2 + 1480*p
Expand (-2*z + 0*z + 0*z)*(-z + z - 2*z) + 4*z**2 - z**2 - 4*z**2 + (5*z - 3*z + 0*z + (-1 - 4*z + 1)*(-7 + 2 + 0))*(-4*z + z + z).
-41*z**2
Expand (3 - 24 - 6)*(-t + t - t)*(4 - 30 - 10) + (-5 + 3 + 3)*(3*t - 5*t + 3*t) + t + 3*t - 3*t.
-970*t
Expand (-p - p - 177 + 159)*(66 + 119 - 103)*(-1 - 2 + 2).
164*p + 1476
Expand (2 - 5*c + 6*c - 5*c)*(-1 + 1 + 2*c + 2)*(-c**2 + 6*c**2 + 0*c**2).
-40*c**4 - 20*c**3 + 20*c**2
Expand (-3*v**2 - 2*v**2 + 63*v**4 - 75*v**4)*(-13 + 6 - 12 + (4 - 3 + 0)*(-1 + 3 + 0)).
204*v**4 + 85*v**2
Expand -34 + 34 + 18*k**2 + (-k + 0*k + 3*k)*(-2 - k + 2) - 521 + 521 + 154*k**2.
170*k**2
Expand (z + 0*z + 0*z)*(178 + 1672 + 1199)*(-4*z + z**4 + 4*z).
3049*z**5
Expand -617 - 103 + f + 2*f**2 + 98 + 2*f**4 + (3*f**2 + 3*f**2 - 4*f**2)*(7*f + 4*f**2 - 7*f).
10*f**4 + 2*f**2 + f - 622
Expand 4*p + p**4 - 4*p + (8*p - 4*p - 7*p + p**4)*(1 + 1 - 1)*(-30 - 29 - 2) + (4*p**3 - 4*p**3 + p**3)*(0*p - 3*p + p).
-62*p**4 + 183*p
Expand (-5*n + n - 3*n + 3*n - 5*n + n + 2 - 2 + n + (-5 + 0 + 3)*(5*n - 5*n - 2*n))*(53 + 667*n - 44 - 13).
-2001*n**2 + 12*n
Expand (0 + 0 - 1 + (-2 - 4 - 24)*(-2 - 1 + 2))*((s**2 + s**2 - 4*s**2)*(-6 + 2 + 1) + 5*s**2 + 2*s**2 - 5*s**2).
232*s**2
Expand (4079*i**4 - 62 + 11 - 4060*i**4)*(-i + 2*i + 4*i).
95*i**5 - 255*i
Expand (5 - 4 - 2)*(-4 + 2*j + 4) + 5*j - 2*j - 2*j + 104*j - 39*j + 116*j - 6*j + 3*j + 0*j - 2 + 2 - 2 - 2*j + (-2 + 1 + 3)*(2 - 2 + 2*j) - 2 + 2 + 2*j.
181*j - 2
Expand (-13 + 8 - 13)*(70*z**2 + 59*z**2 + 56*z**2).
-3330*z**2
Expand (j - j + 2*j)*(1 - 3 + 2*j + 8)*(3 - 5 + 4)*(-10 + 3*j + 10) - 2*j**3 + j**3 - j**3.
22*j**3 + 72*j**2
Expand (8 + 11 + 3)*(26*r - 29*r + 5*r - 45).
44*r - 990
Expand (2*f**3 - f**3 + 0*f**3)*(-11057*f**2 + 20670*f**2 - 11983*f**2).
-2370*f**5
Expand (0 - 2*j + 0)*(2 + j - 2) + 9*j**2 - 4*j**2 - 4*j**2 + (7*j + 64 - 64)*(j + 2*j + 0*j).
20*j**2
Expand (-r - 4*r + 3*r + (31 - 9 + 298)*(-r - 2*r + 0*r + (r - 2*r - r)*(-2 - 1 + 4) + 2 - 2*r - 2)*(-2 + 6 - 2))*(0 - 2 + 3).
-4482*r
Expand (0 - 2 + 1)*(2 + 2 - 5)*(-23*k - 2*k - 5*k) + 3*k - 3*k - 2*k - 2*k + 0*k + k + (-2*k + 1 - 1)*(-4 + 1 + 1) - 3*k + k + 3*k + 8*k + 18 - 18.
-20*k
Expand (2*d**2 - d**2 - 3*d**2)*(-4*d + 4*d + d**2) - 15
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + n. Determine j(k(f)).
5448*f**2 - 174337*f + 1394704
Let m(t) = 4*t. Let f(c) = -2*c**2 + 71*c + 17. Determine m(f(r)).
-8*r**2 + 284*r + 68
Let r(o) = 1892*o - 1892*o - 8 + 5*o**2. Let i(z) = 2*z**2. Give i(r(p)).
50*p**4 - 160*p**2 + 128
Let c(t) = -7*t. Let m be 4/3*2 - (-5)/15. Let f(d) = 3 - m*d - 3. Calculate c(f(n)).
21*n
Let c(a) = 3*a. Let j(x) = 120489*x. Determine j(c(r)).
361467*r
Let k(d) = 45*d - 2. Let c(t) = -3858*t. Calculate k(c(r)).
-173610*r - 2
Let m(r) = -r**2 + 127*r - 232. Let x(b) = 2*b. What is m(x(j))?
-4*j**2 + 254*j - 232
Let g(m) = 348*m**2. Let c(y) = -497*y**2. Give g(c(q)).
85959132*q**4
Suppose -3*b + 4*b = 0. Let x(g) = 4*g + b*g - 6*g. Let i(f) be the third derivative of -f**4/4 - 7*f**2. Determine x(i(p)).
12*p
Let x(c) = c**2 - 2*c + 2. Let l(h) = -h**2 + h - 1. Let b(v) = 4*l(v) + 2*x(v). Let r(g) = -53*g**2. Give b(r(z)).
-5618*z**4
Let a(c) be the second derivative of -c**3/3 + c**2 + 63*c. Let u(k) = -3*k**2. Give a(u(t)).
6*t**2 + 2
Let d(u) = 5330*u**2. Let y(v) = 4*v. Give y(d(p)).
21320*p**2
Let f(m) = -5*m. Let h(r) = 1229*r - 2 + 2 - 1336*r. Calculate f(h(g)).
535*g
Let g(n) = -22779*n**2. Let s(l) = 23*l**2. Determine g(s(x)).
-12050091*x**4
Let m(h) = -9*h**2 + 6. Let u(g) be the second derivative of -5*g**3/6 + 214*g. Give u(m(d)).
45*d**2 - 30
Let i be -8*-5*(-3 + 4). Let p = i - 29. Let q(h) = -8*h + p*h - 2*h**2 - 3*h. Let a(g) = 12*g**2. Determine a(q(s)).
48*s**4
Let j(u) = -2*u**2. Let b(f) be the second derivative of 5*f**4/4 + 169*f. Give j(b(q)).
-450*q**4
Let b(m) = -5*m**2. Let y(z) = 55*z**2 - 11*z. Suppose 9*u - 5*u = 44. Let d(s) = 14*s**2 - 3*s. Let r(o) = u*d(o) - 3*y(o). Give r(b(g)).
-275*g**4
Let c(d) = -4*d + 157. Let o(p) = 12*p. Calculate c(o(v)).
-48*v + 157
Let d(y) = 29*y**2. Let x(z) = 9*z**2 - 21*z + 63. Let b(r) = r**2 - 2*r + 6. Let f(o) = 63*b(o) - 6*x(o). Determine f(d(u)).
7569*u**4
Let r(i) = 2*i. Let q(z) = 3*z + 187404. Calculate q(r(j)).
6*j + 187404
Let z = 88 - 88. Let v(i) be the second derivative of 4*i + 0*i**2 + 1/3*i**3 + z. Let w(t) = t. What is v(w(j))?
2*j
Let q(v) be the second derivative of 0*v**2 - 19*v + 0*v**3 + 2/3*v**4 + 0. Let m(c) = -c**2. What is q(m(t))?
8*t**4
Suppose -4*x = -2*c, -5*x + c + 4 = -x. Let t(n) = -2*n - 4*n + x*n + 2*n - 12*n**2. Let l(z) = z. Give l(t(r)).
-12*r**2 - 2*r
Let b(v) = -2*v**2 + 8*v + 243. Let h(t) = 2*t - 30. Calculate h(b(x)).
-4*x**2 + 16*x + 456
Let b(x) = 8*x. Suppose 13*o - 12*o - 2 = 0. Let s(t) = -3*t. Let u(v) = v. Let d(j) = o*s(j) + 7*u(j). Give d(b(z)).
8*z
Let c(o) = -4*o**2 + 3*o - 3. Let k(i) = -i**2 + i - 1. Let w(q) = -c(q) + 3*k(q). Let r(y) = 6*y - 15. Determine r(w(b)).
6*b**2 - 15
Let j(k) = 64573*k**2. Let l(y) = -y. Give l(j(w)).
-64573*w**2
Let i(w) = -26*w - 1. Let j(g) = -134*g + 60*g + 5*g**2 + 74*g. Give i(j(h)).
-130*h**2 - 1
Let f(z) = -2*z. Let l(s) = 50*s + 63. Let y(m) = -17*m - 22. Let j(b) = 6*l(b) + 17*y(b). Give j(f(i)).
-22*i + 4
Let x(k) = -7*k**2 + 2. Let s(h) = -41022*h. Give x(s(f)).
-11779631388*f**2 + 2
Suppose b + 2*q - 5*q - 7 = 0, -6 = -b + 2*q. Suppose b = w + 2*d, 5*d - 6 = -w + d. Let t(u) = -4*u**w + 0*u**2 + 55 - 55. Let r(a) = 4*a**2. Give t(r(j)).
-64*j**4
Let b = 82 - 14. Let n(f) = -5*f**2 - b*f + 68*f - 28*f**2. Let h(u) = -u**2. Give n(h(d)).
-33*d**4
Let h(w) = 23*w**2. Let o(l) = -2278*l**2. Give o(h(z)).
-1205062*z**4
Let r(g) = -6*g**2 - 12*g + 12. Let v(h) = -h + 1. Let o(c) = -5*r(c) + 60*v(c). Let n(u) = -101*u**2 + 98*u**2 - 163 + 163. Determine n(o(i)).
-2700*i**4
Let q(o) = -o. Suppose -171 = 10*i - 181. Let s(g) be the first derivative of -i + 1/2*g**2 + 0*g. Calculate q(s(y)).
-y
Let h(g) = 31*g**2. Suppose 17 = 19*y - 21. Let c(m) = 63*m - m**y - 31*m - 32*m. What is c(h(j))?
-961*j**4
Let q(g) = -g. Suppose -14 = -3*d - 8. Let h(n) = -9*n + 5. Let a(w) = -9*w + 4. Let o(i) = d*h(i) - 3*a(i). Determine q(o(p)).
-9*p + 2
Let i(t) be the second derivative of 9*t**3/2 - t. Let u(a) be the first derivative of a**2 + 750. Calculate i(u(s)).
54*s
Let l(w) = -12*w - 13*w + 14*w - 20*w - 12*w. Let k(y) = -14*y**2. What is l(k(i))?
602*i**2
Let k(o) = 5589*o - 378. Let f(a) = 2*a. Give f(k(l)).
11178*l - 756
Let q(w) = 3*w. Let n(z) = -25*z**2 + 5*z. Let k(m) = 14*m**2 - 3*m. Let s(x) = -5*k(x) - 3*n(x). Calculate s(q(f)).
45*f**2
Let b(n) = 352*n + 32. Let s(x) = -54*x - 5. Let u(t) = -5*b(t) - 32*s(t). Let c(d) = 3*d. Give c(u(w)).
-96*w
Let s(n) be the first derivative of -15*n**2 + 4. Let k(o) = o**2. Determine k(s(t)).
900*t**2
Let s(l) = -58*l. Let j(g) = -24*g - 23. Give s(j(r)).
1392*r + 1334
Let q(s) = -s**2 - 7*s**2 + 13*s**2 - 2*s**2. Let x(t) = t**2. Let o(b) = 12*b**2. Let d(k) = -3*o(k) + 32*x(k). Determine q(d(n)).
48*n**4
Let u(v) = 9*v**2 - 9*v**2 - 4*v**2 - 5*v**2 - 3*v**2. Let m(z) be the first derivative of -z**3/3 + 2. What is u(m(r))?
-12*r**4
Let p(c) = 347*c. Let f(a) = 10*a**2 - 25*a**2 + 14*a**2. Determine f(p(d)).
-120409*d**2
Let t(r) = -17*r. Let b(v) = -505*v. Calculate b(t(q)).
8585*q
Let q(c) = -11*c**2. Let o = 106 + -102. Let b(t) = -o*t + 3351 - 3351. Calculate q(b(u)).
-176*u**2
Let z(k) = -92*k. Let d(q) = -3*q - 21. Let w(l) = -2*l - 15. Let n(t) = 5*d(t) - 7*w(t). What is z(n(f))?
92*f
Let j(l) = 629*l**2 + 74*l + 74. Let t(i) = -84*i**2 - 10*i - 10. Let d(w) = 5*j(w) + 37*t(w). Let q(a) = -16*a**2. Determine d(q(g)).
9472*g**4
Let a(z) = 25*z**2 + 13*z + 52. Let x(s) = s. Calculate a(x(f)).
25*f**2 + 13*f + 52
Let b(f) = -2*f**2. Let x = 292 - 296. Let r(l) = -l**2 + 4*l - 2 - 3 + 1. Let n(p) = -2*p**2 + 7*p - 7. Let y(i) = x*n(i) + 7*r(i). Determine b(y(h)).
-2*h**4
Suppose 0*i - 3*i = -21. Let t = 14 - i. Let d(f) = -t*f + f + 2*f + 6*f. Let o(c) = -5*c. Determine o(d(m)).
-10*m
Let t(y) = y**2. Let q(p) = 814*p**2 + 59 - 177 + 60 + 58. What is t(q(d))?
662596*d**4
Let h(l) = 2*l. Let w(t) be the third derivative of t**5/60 + t**4/24 + 157*t**2. Calculate h(w(g)).
2*g**2 + 2*g
Let i(j) = j. Let k be (-11)/(-7) - (-5)/(-35)*-3. Let c(m) = 1 - m + k*m - 10*m - m. What is i(c(f))?
-10*f + 1
Let z(f) = -2*f. Let w(n) = 2*n. Let p(t) = -w(t) + 4*z(t). Let x(g) = 3*g**2 + g**2 - 2*g**2. Give p(x(j)).
-20*j**2
Let l(z) = 2*z + 2. Let b(a) = -4 - 3 + 10 - 4. Let h(u) = -6*b(u) - 3*l(u). Let x(q) = q. Give x(h(y)).
-6*y
Let f(p) = -29*p. Let k(x) = -81*x**2 + 13. Give f(k(a)).
2349*a**2 - 377
Let z(y) = -2*y - 5. Let k(j) = j + 3. Let l(g) = 5*k(g) + 3*z(g). Let b(f) = -8*f + 1. Determine l(b(o)).
8*o - 1
Let s(f) = 2*f**2 + 11*f - 6. Let a be s(-6). Let z(k) = 11*k - 7*k + a*k. Let u(l) = l**2. Give z(u(b)).
4*b**2
Let d(a) be the third derivative of 2*a**2 + 0*a**3 + 0*a + 13/24*a**4 + 0. Let u(w) = 2*w**2 + 3*w**2 + w**2 - 4*w**2. Calculate u(d(y)).
338*y**2
Let s = -8 + 13. Let u(h) = -6*h**2 + s*h**2 + 3*h**2 - h**2. Let o(c) = -2*c. Give u(o(x)).
4*x**2
Let p(o) be the third derivative of -o**5/15 - 2*o**2 - 20. Let c(h) = -20*h + 2. What is p(c(f))?
-1600*f**2 + 320*f - 16
Let k(u) = -u**2. Let p(v) be the first derivative of -3*v**2/2 + 32*v + 109. What is k(p(d))?
-9*d**2 + 192*d - 1024
Let i = 5 - 3. Let a(s) = -s**2 - 2*s + 3*s**i + 2*s. Let p(y) = -2*y**2 - 5*y + y + 4*y. What is p(a(w))?
-8*w**4
Let y(n) be the second derivative of -2*n**3/3 + 1167*n. Let j(l) = 11*l**2 + 11. Let m(z) = -5*z**2 - 6. Let o(d) = -6*j(d) - 11*m(d). Give y(o(w)).
44*w**2
Let y(k) = 2*k**2. Let p(m) = 9*m + 8. Let u(x) = x + 1. Let q(w) = -2*w - 2. Let i(f) = -2*q(f) - 3*u(f). Let r(n) = -40*i(n) + 5*p(n). Determine y(r(l)).
50*l**2
Let d(x) be the second derivative of 0*x**2 - 1/6*x**4 + 0*x**3 + 0 + 16*x. Let m(z) = 19*z. Give d(m(v)).
-722*v**2
Let p(s) = -12*s. Let m(r) be the first derivative of 0*r - 1/2*r**2 - 13. Give p(m(n)).
12*n
Let c(k) = -157*k + 2. Let q(l) = -3*l**2. Determine c(q(g)).
471*g**2 + 2
Let r(l) = -l. Let i = 549 - 549. Let b(y) be the first derivative of -1/2*y**2 + i*y - 7. Give r(b(u)).
u
Let p(u) = -u - 6. Let m(w) = -w**2 - 2*w + 2. Let q(s) = -s**2 + s - 1. Let b(j) = m(j) + 2*q(j). Determine p(b(t)).
3*t**2 - 6
Let h be 15/(-12)*4/(-1). Suppose 0 = -0*t + 2*t - 12. Let r(p) = -h - 7*p**2 + 5 + t*p**2. Let z(f) = -3*f. Give z(r(c)).
3*c**2
Let w(u) = -48*u**2 - u. Let g(b) = -15*b
|
{
"pile_set_name": "DM Mathematics"
}
|
d?
-17000
Let u = -560.456731 + -0.053269. What is u rounded to the nearest integer?
-561
Let i(o) = 19*o**3 + 5*o**2 + 13*o - 32. Let s be i(11). Round s to the nearest 100.
26000
Suppose 3*w + 20 = -4*l - l, 0 = 3*l - 3*w + 36. Let r be ((-7)/(-2))/l + (-62)/(-4). Let u be 9/(-15) - 6741/r. What is u rounded to the nearest one hundred?
-500
Let b = -0.557 + 356.557. Let d = -355.9833 + b. Round d to two decimal places.
0.02
Let j = 125.352 - 58.3876. Let f = -67 + j. Round f to 3 decimal places.
-0.036
Let f = -212.143 + 212. Let m = -0.14299785 - f. What is m rounded to 7 dps?
0.0000022
Let f = 19099 + -19086.901. Round f to zero dps.
12
Let p = -7617 + 7616.99947655. Round p to four dps.
-0.0005
Let c = -119057 - -119244.3358. Let i = -0.0642 - c. Round i to the nearest 10.
-190
Let b(m) = -7*m**3 - 29*m**2 + 33*m - 240. Let x be b(-40). What is x rounded to the nearest 100000?
400000
Let i = 0.52 - 0.395. Let g = 0.0318 - i. Round g to two dps.
-0.09
Let n = -81227 - -81227.215745. Let y = n + -24.215485. Let x = y - -24. What is x rounded to 4 decimal places?
0.0003
Suppose p = 933 + 373. Let u(r) = -668*r - p*r + 22*r - 28 - 1524*r. Let t be u(-3). Round t to the nearest 1000.
10000
Let w = 2.3 - 1.14. Let x = w + -0.52. Let l = x + -0.64000252. What is l rounded to seven dps?
-0.0000025
Let u = 2689 + -2688.99987174. Round u to six dps.
0.000128
Let r = -0.36307 - 224.97193. Round r to the nearest 10.
-230
Let z = -34.32682 + -314.70246. Let s = z + 349. Round s to three dps.
-0.029
Let y = -2877392 + 2019569. Let h = 857823.0669981 + y. Let x = 0.067 - h. What is x rounded to 6 dps?
0.000002
Let x = 0.541 - -0.059. Let l = 6 - x. Let k = -5.40049 + l. What is k rounded to four decimal places?
-0.0005
Let f = 115 + -116.163. Let v = f + 1.2628. Round v to 2 decimal places.
0.1
Suppose 4*b - 3*w = -439212, -3*w - 365475 = 3*b - 36087. What is b rounded to the nearest 10000?
-110000
Let h = 0.4 + -0.404. Let v = 7.934 - 7.89. Let t = v - h. What is t rounded to two dps?
0.05
Let j = 1.928 + -3.285. Let b = -1.39100448 - j. Let g = -0.034 - b. Round g to 6 dps.
0.000004
Suppose -130 = -6*h + 50. Let z be (-20000)/h*6/4. What is z rounded to the nearest one thousand?
-1000
Let a = -238.27 - -232. Let s = a + -296.73. Let t = s + 303.00262. Round t to 4 dps.
0.0026
Let b be 3/4 + (-9)/12. Suppose 0 = 7*r - 70 - b. Let h be 46999984/(-10) + 4/r + -2. Round h to the nearest one million.
-5000000
Let a = 1317.6 + -1185. Let v = a - 17.3. Let u = v - 108. Round u to the nearest integer.
7
Let d = 269 - -320. Let t = 646.1 - d. What is t rounded to the nearest ten?
60
Let g = 10 - 41. Let m = g + -18. Let x = -49.0212 - m. Round x to three decimal places.
-0.021
Let f = 56 - 57. Let l = f + 0.79. Let b = 0.2100028 + l. What is b rounded to 6 decimal places?
0.000003
Let t = 388.12768 + -388. Round t to 3 dps.
0.128
Suppose -3585 = 32*r - 12449. Let y = -593 + r. Round y to the nearest one hundred.
-300
Let p = -127 + 13. Let y = 121 + p. Suppose 6196294 = -y*o - 264706. Round o to the nearest 100000.
-900000
Let w = 0.1708 - 172.7708. Let v = 172.600001526 + w. What is v rounded to seven decimal places?
0.0000015
Suppose 2*y - 3*c = 21846, 2*c = -2*y - 0*y + 21866. Suppose 2*i + p = -y + 754, -4*i - p = 20353. What is i rounded to the nearest one hundred?
-5100
Let n(d) be the first derivative of d**4/4 + d**2/2 + 310*d + 2. Suppose 20 = 10*w - 9*w - 4*k, 5*w = -5*k - 25. Let a be n(w). Round a to the nearest 100.
300
Let x(u) = -u + 12. Let c be x(12). Suppose -4*p - 3*w - 405200003 = c, 4*p + w = 4*w - 405199997. Round p to the nearest 1000000.
-101000000
Let p = 454.35132 - 454.4. Round p to 2 decimal places.
-0.05
Let h be (46173/(-15))/(9/(-45)). Let f = h + -75091. What is f rounded to the nearest 1000?
-60000
Let x = 1.355 - -10.545. Let v = 12.3391 - -0.1709. Let q = v - x. Round q to one decimal place.
0.6
Let s(w) = -284*w**3 + w**2 - 3*w - 5. Let v be s(-3). Suppose -2*l + 3259 = -v. What is l rounded to the nearest 100?
5500
Let g = 1347.6 - 1241. Let p = 92 - g. What is p rounded to the nearest integer?
-15
Suppose 4*p + 460 = -2*t, 4*p + 4*t - 106 = 5*p. Let u be p/(-18) + (-2)/(-3). Suppose -1074230 = u*b + 3615770. What is b rounded to the nearest 100000?
-700000
Let f = 814 + -934.75. Let p = f + 134. Let b = p + -1.55. What is b rounded to 0 decimal places?
12
Let l = 206 - 205.955. Let a = 0.045532 - l. Round a to 4 dps.
0.0005
Let g = 3409.21 - 3608.9. Round g to the nearest 10.
-200
Let s = -530.66 + 11.66. Let k = s - -519.00209. What is k rounded to three dps?
0.002
Suppose -2*b - 41*b = 222245500. Round b to the nearest one million.
-5000000
Let r(z) = 9*z**3 + 8*z**2 - 10*z. Suppose 3*g + 17 + 13 = 0. Let f be r(g). Round f to the nearest 100.
-8100
Suppose -5*c - 22 = -5*m + 28, c - 10 = -3*m. Suppose 7*o + 36367674 = m*o. Let r = -9583837 - o. Round r to the nearest 1000000.
9000000
Let h = 3750.7 - 3512. Let i = -59.3 - h. Let z = -298.00586 - i. What is z rounded to three decimal places?
-0.006
Let o = -84.699984066 + 84.7. What is o rounded to seven dps?
0.0000159
Let y = 5.2 + -5.222. Let k = y - -0.009. Let u = 0.0130006 + k. What is u rounded to 7 dps?
0.0000006
Let m = 823 + -819.3. Let x = -3.699999535 + m. Round x to seven decimal places.
0.0000005
Let d = -1.44 + -0.06. Let o = -67.6 + d. What is o rounded to the nearest 10?
-70
Let c be 30*-2*(-2)/6. Let f(u) = -u**3 + 23*u**2 + 30*u - 15. Let y be f(c). Let r be ((-34)/(-5))/(21/y). Round r to the nearest one hundred.
600
Let y = -25.79 - -27.5. Let i = 1.3 + -0.92. Let x = i - y. Round x to 1 decimal place.
-1.3
Let j = -149 + 171.7. Let o = 22.6999 - j. What is o rounded to 3 decimal places?
0
Let q = 49.31 + -49.3099406. Round q to five dps.
0.00006
Let y be ((-28389 - -22) + 11)*(-240)/9. What is y rounded to the nearest 10000?
760000
Let q(m) = -56*m**2 - 4*m + 132. Let x be q(27). Let h be x*(-7)/((-21)/50). What is h rounded to the nearest one million?
-1000000
Let w = -266 - -530. Let j = -101 - w. Round j to the nearest one hundred.
-400
Let m = 10834 - -4605. Let p = m - 15198.667. Let u = 240 - p. Round u to 2 dps.
-0.33
Suppose -65*z + 127 = -523. Suppose 3*k - 2*r = 3570002, r + 2380001 = z*k - 8*k. What is k rounded to the nearest 1000000?
1000000
Let m = -1548.7048 - -1542. Round m to 0 decimal places.
-7
Let x = 3569 + -3568.9999647. What is x rounded to 6 dps?
0.000035
Let t = -20573308 - -11985960. Let g = t - -5851348. Round g to the nearest one hundred thousand.
-2700000
Let j be (1 - 5) + (-2*121)/(-2). Suppose -107*k - 19570000 = -j*k. Round k to the nearest one hundred thousand.
2000000
Let s = -7171 + 7171.030255. Round s to 4 dps.
0.0303
Let v(l) = -l**3 + 7*l**2 + 10*l - 13. Let t be v(8). Suppose t*k = -10 + 10. Suppose 5*g - 1654 + 5104 = k. Round g to the nearest 100.
-700
Suppose -22148710 = -13*y - 6478237. Let l = y - -1194579. What is l rounded to the nearest 100000?
2400000
Let b = -0.55 + -53.45. Let t = -548955.000112 + 549009. Let u = t + b. Round u to 5 decimal places.
-0.00011
Let c(y) = -655*y**2 - 79*y + 718. Let o be c(62). Round o to the nearest 1000000.
-3000000
Let b = -5442 - -5441.99996172. What is b rounded to 6 decimal places?
-0.000038
Let a = -12689 - -12573.47. Let z = -0.47 + a. Let u = z + 116.000063. What is u rounded to five decimal places?
0.00006
Let t be 63/12 + -5 - (-14)/8. Suppose -5*c = 0, t*j + 1800 = 7*j - 2*c. Let f be j*((-9)/(-6) - 70982/(-12)). What is f rounded to the nearest 100000?
2100000
Let y = -48.1 + 44.9. Let s = y + 3.201039. Round s to four dps.
0.001
Suppose -18 = -5*f + y, -f - 2*y - 9 = -2*f. Suppose 5*r + 3*v + 10 = 0, -3*v - 6 = f*r - 2*v. Let x(b) = 173*b - 4. Let l be x(r). Round l to the nearest 100.
-400
Let z = 0.09205 + -0.09198523. Round z to six dps.
0.000065
Let z be -11 - 6 - 10229984 - (2 + -3). What is z rounded to the nearest 100000?
-10200000
Let x = -827 + 834. Let s = 856.18 + -849.1817. Let y = s - x. Round y to four decimal places.
-0.0017
Let w = 70772 + -195825. Let q = w - -48853. What is q rounded to the nearest 10000?
-80000
Let v = -612.9 + 612.380028. Let o = -24.48 - -25. Let p = o + v. What is p rounded to 5 dps?
0.00003
Let c = -1326.5 + 132
|
{
"pile_set_name": "DM Mathematics"
}
|
-7
Let n(h) = -3*h - 26. Let z be n(-12). Let j(c) = -c**2 + 9*c + 7. What is j(z)?
-3
Let h(t) = -9*t**3 + 11*t**2 - 3. Let f(j) = -29*j**3 + 34*j**2 - 11. Let i(c) = -4*f(c) + 13*h(c). Let n be (-3 - -1)*14/(-4). What is i(n)?
5
Let l(m) = m**3 - 5*m**2 + m + 4. Let u(f) = 222 + 226 - 3*f - 440. Let a be u(1). What is l(a)?
9
Let d(j) = -45*j**3 - 11*j**2 + 9*j. Let g(h) = -23*h**3 - 6*h**2 + 5*h. Let i(o) = o**2 - 4*o - 27. Let z be i(7). Let y(b) = z*d(b) + 11*g(b). What is y(-1)?
-18
Let p(n) = -7*n**3 - 2*n**2 - 3*n - 3. Let r(j) = 21*j - 296. Let b be r(14). Calculate p(b).
51
Let q(y) = -3*y + 79. Let x(n) = -2*n + 45. Let i(m) = q(m) - 2*x(m). Let j be (1 + -2)*-1 - 1. What is i(j)?
-11
Let h(p) be the first derivative of -p**3/3 - 2*p**2 + 8*p + 27. Let u be (-23)/4 - (-5)/(-20). Determine h(u).
-4
Let l(x) be the second derivative of -x**3/2 - 4*x**2 - 28*x - 2. Calculate l(-4).
4
Let p(b) = 3*b + 7. Let j(g) = -3*g - 6. Let r(s) = 3*j(s) + 2*p(s). Let c(v) = v - 1. Let k(d) = 3*c(d) - r(d). Give k(-2).
-11
Let g(o) = 2*o**2 - 7*o - 181. Let c(m) = -m**2 + 3*m + 89. Let v(p) = -5*c(p) - 2*g(p). Calculate v(10).
7
Let l(s) = -s**3 + 2*s**2 + 2*s + 1. Let c(i) be the second derivative of i**4/12 + 3*i**3/2 - 19*i**2/2 + 16*i. Let k be c(-11). Calculate l(k).
-2
Let r(g) = g - 4. Let w(f) = -3*f + 12. Let a(p) = -17*r(p) - 6*w(p). Let u be a(4). Let i(z) = -2 - z**2 - 4 + 3 + 4*z + u. Give i(4).
-3
Let l be 2/(-15)*55/(-44). Let r(i) be the second derivative of -l*i**4 + 1/6*i**3 + 0 - 4*i + 1/20*i**5 + 0*i**2. Determine r(2).
2
Let y(q) = -3*q**3 + q**2 + q. Suppose 2*d + 12 = 3*b, -2*d - 22 = -5*b - 2. Suppose -2*h + 4 = -3*l, 0*h = b*h + 4*l + 12. Give y(h).
3
Suppose 50*h = -4*b + 52*h + 6, 0 = 2*b + h + 3. Let s(m) = -m**2 - 13. Determine s(b).
-13
Let y = -55 + 60. Let z(x) = 2*x**2 - 4*x - 6. Let a(c) = -3*c**2 + 6*c + 9. Let j(d) = -5*a(d) - 8*z(d). Give j(y).
-12
Let g(k) = -3*k**2 - 5*k. Let t(j) = -j**2 - 2*j. Let h(r) = -3*g(r) + 8*t(r). Let c be -8*(1 - 15/10). Suppose -n + 6 = c*z, -2*n = z - 6*z + 1. What is h(n)?
2
Let x(s) = -s**3 - 4*s**2 + 3*s + 3. Suppose 2*k + q + 23 = 0, q - 42 = 3*k + 5*q. Let w be 60/50*k/3. Give x(w).
-9
Let g(n) = -283 - 277 + 2*n - 278 + 832. Let i(s) = 14*s + 9. Let h(r) = -5*r - 3. Let z(q) = -17*h(q) - 6*i(q). Let k be z(7). What is g(k)?
2
Let v(k) = -k**3 + 3*k**2 + 2. Let d(l) = 5*l**3 - 9*l**2 - 4*l - 10. Let n(q) = d(q) + 4*v(q). Determine n(2).
10
Let q(c) = c. Let p be q(6). Let z(b) = 4*b**2 + 1 - 7*b + 0*b**2 + 9*b**2 - 12*b**2. Give z(p).
-5
Let v(t) = 15*t + 10. Let c(l) = 97*l + 64. Let q(i) = 4*c(i) - 26*v(i). Suppose 5*b = 3*r - 5, -2*b + 4*r = 1 - 13. Let j be b - 2/(-2)*-2. Calculate q(j).
8
Let t(k) = -k**2 + 5*k - 4. Let y = -451 + 458. Calculate t(y).
-18
Let s(h) = -h**2 + 6*h - 1. Suppose 4*q - 37 = 3. Determine s(q).
-41
Let b(o) = 3*o**3 - o. Let x be b(1). Suppose x*m = -2*m + 12. Let g(n) = -5 + 7*n - 6*n**2 + 0*n**2 + 8*n**2 - m*n**2. Calculate g(4).
7
Let b(f) = -71*f**3 + 7*f**2 - 5 - 70*f**3 - 4*f + 140*f**3. Calculate b(5).
25
Let u(x) be the third derivative of x**5/15 - x**4/24 + 94*x**2. Let w be 0 - (4 + (-7 - -4)). Determine u(w).
5
Let v(i) = i**3 + 8*i**2 - 2*i - 6. Let c be v(-8). Let k(s) = -s - c*s**2 + 7*s**2 + 15*s**2. Determine k(1).
11
Let w(s) = -8*s + 23. Let a(t) = -5*t + 20. Let i(g) = 3*a(g) - 2*w(g). Determine i(-17).
-3
Let s = 43/3240 - 2/405. Let r(q) be the third derivative of -2*q**2 + 0 - 1/15*q**5 + s*q**6 - 1/4*q**4 + 0*q + 1/6*q**3. Give r(5).
-4
Let r(c) = c**2 + c. Suppose -p - 245 = 5*a, -a - 5*p + 8 = 57. Let g = -50 - a. Give r(g).
0
Let o(n) be the second derivative of n**2 + 26*n + 0 - 1/6*n**3. Determine o(5).
-3
Suppose 3 = -44*d + 47*d. Let n(l) = 16*l + 7. Let x(f) = 5*f + 2. Let p(m) = 6*n(m) - 21*x(m). Calculate p(d).
-9
Suppose 3 - 5 = -m. Let w(p) be the first derivative of 5 + 2*p - 1/2*p**m. Calculate w(-4).
6
Let r(u) be the second derivative of u**5/20 - u**4/3 + u**3/3 - 3*u**2/2 - u. Let f = -111 - -110. Let i be (-15)/5*(-1 + 1 + f). Determine r(i).
-6
Let k be 30/(((-8)/3)/(-4)). Suppose 49*d - k*d = 16. Let z(q) = q**3 - 5*q**2 + 4*q. Determine z(d).
0
Let h(w) be the third derivative of w**5/30 - 5*w**4/24 - w**3 + 307*w**2. Calculate h(6).
36
Suppose -3*m = -19 + 4. Suppose 4*b + 0*f = 3*f + 17, m = 4*b + f. Let i(x) = 0 - 9*x**b + 1 - 2 - x**3 + 5*x + 5*x**2. Give i(-5).
-1
Let k(z) = -z - 1. Let j(g) = g**2 + 11*g + 13. Let a be j(-10). Let n be k(a). Let v be (n/12)/((-1)/(-15)). Let p(y) = y**3 + 4*y**2 - 6*y. What is p(v)?
5
Let f(s) be the third derivative of s**5/60 - 3*s**4/8 + 4*s**3/3 + s**2. Let y be (1 - 2/5) + (-26865)/(-4975). What is f(y)?
-10
Let y(o) = -2*o**2 - 2*o + 1. Suppose 0 = -3*n + 4*a + 21, 4*n - 1 = a + 14. Suppose 0 = n*m + 6. Calculate y(m).
-3
Suppose 2*r = 4*m + 4, -5*m + 7*m + 2 = 0. Let c be 3/(-2)*(-8)/6. Let b(x) = 5 + 10 - x**c - x + 2*x. What is b(r)?
15
Let m(v) = 8*v. Let k be m(1). Let r(y) be the third derivative of y**4/24 - y**3/3 - y**2 - 21*y. Calculate r(k).
6
Let x(a) = 0*a - 1 - 3*a**2 - 3*a**2 - 3*a + 4*a. Suppose 15 - 21 = -6*v. Determine x(v).
-6
Let v(p) = -6*p**2 - 3*p - 2. Suppose 34 - 26 = -8*j. Determine v(j).
-5
Suppose 0 = 5*b + 5*c + 5, -4*c - 5 = 11. Let m(g) = 5*g**2 + 5*g + 19. Let n(a) = -7*a**2 - 5*a - 24. Let s(h) = 4*m(h) + 3*n(h). Calculate s(b).
10
Let h(n) = -n**2 + 7*n - 4. Let p(l) = -l**2 - 8*l + 9. Let f be p(-8). Let w be 1 - 0/(f/3). Let g be (3 - 8) + w + 10. What is h(g)?
2
Let i(r) = r. Let k(j) = -j**2 - j - 5. Let h(n) = 2*i(n) - k(n). Let x be 12/5 + 6/10. Suppose 4*c + 11 = -2*l + 5*c, 9 = -x*l - c. Determine h(l).
9
Let h(d) be the second derivative of -3*d**5/20 - d**4/4 - d**3/6 + d**2/2 + 7*d - 5. Determine h(-1).
2
Let v(z) be the third derivative of -z**5/60 - z**4/4 + 2*z**3/3 - 9*z**2 + 2*z. Calculate v(-7).
-3
Let s(m) = -25*m + 3. Let g(b) = 9*b - 1. Let p(o) = -8*g(o) - 3*s(o). Suppose 8 = -v + 5*v. Determine p(v).
5
Let c = -32 + 33. Let q(s) = 55*s + 65*s - 115*s + s**2 - c. What is q(-4)?
-5
Let p(z) = z**3 - 3*z**2 - 7*z + 5. Suppose 2 = 2*i - 8. Suppose 0 = 4*h - i*c - 1, 2*h = -2*h - 5*c + 31. Give p(h).
-7
Let k(i) = -11 + 16 + 0 + 4 + 3*i. Let s(w) be the third derivative of -w**4/24 - 7*w**2. Let t(p) = k(p) + s(p). Give t(-6).
-3
Let w(i) = -8*i**2 + i + 1. Let m = 718 - 716. What is w(m)?
-29
Suppose -41*y - 205 - 41 = 0. Let n(z) = -2*z**2 - 4*z - 3. Calculate n(y).
-51
Suppose 0 = -5*l - 5, 0*l - 12 = -t + 4*l. Let b be (-2 - t/(-4)) + 2. Let p(i) = 4*i - 3. Calculate p(b).
5
Let o(n) be the first derivative of -n**4/4 - 11*n**3/3 + 6*n**2 - 8*n + 35. Calculate o(-12).
-8
Let z(r) be the second derivative of -3*r**5/20 + r**3/2 + r**2/2 - 509*r + 1. Let j(t) = t. Let a be j(-2). Give z(a).
19
Let c be (-273 + -9)*2/(-4). Let i = c - 135. Let o(g) = -g + 1. Determine o(i).
-5
Let m(v) = -v + 9. Let p be m(4). Let n(t) = 11*t**3 - 10*t**2 + 10*t - 15. Let s(w) = 4*w**3 - 3*w**2 + 3*w - 5. Let a(c) = 3*n(c) - 8*s(c). Give a(p).
0
Let s be ((-1)/3)/(8/96). Let q(v) = -120 + 120 + v**2 + v. Let n(r) = r**2 - 6*r - 5. Let g(t) = n(t) - 2*q(t). What is g(s)?
11
Let j(o) = -1. Let z(b) = -9*b + 6. Let f(n) = -n**3 - 10*n**2 - 1. Let y be f(-10). Let c(i) = y*z(i) - 5*j(i). Give c(1).
8
Let f(h) = 10*h**3 + h + 1. Suppose 5*m + 2 = 2. Let b be (m - -1) + (-18)/9. Calculate f(b).
-10
Let l(s) be the second derivative of -s**3/2 + 13*s**2 + 16*s. Let h be l(8). Let r(z) = -7*z**2 + 3*z. What is r(h)?
-22
Let t(n) = n + 3. Let z be 1 + (-4 + 3 - -5). Let j be (1 - (z - 2))*-2. Suppose 3*r - j*p = -11, 11 = -2*r - p - 0*p. Give t(r).
-2
Let b(p) = 2*p + 13. Let y(n) = -2*n - 14. Let f(w) = -3*b(w) - 2*y(w). Give f(-3).
-5
Suppose 0*h - h + 2 = 0. Let b(z) = 0 + 2*z - 3 + h. Let v be 1/(1/4) - -1. Determine b(v).
9
Suppose 3*h - 35 = 4*s, 10 = -3*h - 5*s - 0*s. Let b(w) be the second derivative of -w + 1/6*w**3 + 0*w**2 + 0. Determine b(h).
5
Let f be ((-3)/6)/((-2)/(-28)). Let h be 1 - (-1 - (3 + f)). Let a(d) = 2*d + 3. What is a(h)?
-1
Let y(u) = -14*u**2 + u. Suppose 5*v + 195 = 8*v. Let l = 64 - v. Determine y(l).
-15
Let k(x) = -x + x**2 + 3801 - 3804 + 0*x**2. Suppose -4*d = 3*g + 4, -4*d - 7 = -5*g - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
Evaluate (-5)/((-40)/(-4))*80/10.
-4
Evaluate (-3)/5*2/3.
-2/5
3*(-6)/(-2)*1/(-6)
-3/2
What is 14/42*18/(-6)?
-1
((-8)/(-2))/68*-2
-2/17
(-6*3/(-84))/(3/8)
4/7
Evaluate -1*(-15)/12*4.
5
((-15)/10)/(8/(-32))
6
Evaluate (4/7)/(12/14).
2/3
What is the value of (-4)/(-4*(-28)/(-8))?
2/7
What is (18*(-10)/165)/((-10)/55)?
6
What is the value of (-38)/95*5*(-1)/(-2)?
-1
1*1*2/(-1)
-2
Calculate 12/(-8)*6/9.
-1
Evaluate ((-12)/21)/((-28)/98).
2
Evaluate -15*(-37)/111*1/(-1).
-5
Calculate (-80)/192*-1*(-4)/(-10).
1/6
Evaluate (-6)/8*(-1*8)/(-2).
-3
What is the value of (3/(-2))/((966/196)/(-23))?
7
Calculate (-6*(-2)/(-10))/(2/5).
-3
What is the value of (-100)/4*((-2)/10)/1?
5
Calculate (2/(-5))/(84/(-126)).
3/5
Calculate (22/462)/((-3)/(-9)).
1/7
Calculate (-15)/(-75)*-10*-2*1.
4
What is the value of 4/8*(-92)/(-23)?
2
Calculate (15/(-9))/(-6*4/144).
10
What is (32/(-40))/((-2)/(-5))?
-2
Calculate (24/24)/(1/7).
7
What is the value of 4/(-8)*48/6?
-4
Evaluate 4*9/(-360)*5.
-1/2
(10/(-8))/((-26)/(-104))
-5
Evaluate 6/117*(-6)/(-2).
2/13
Calculate ((-36)/14)/(-3)*(-1)/3.
-2/7
Calculate (5/3)/(510/1224).
4
Evaluate (-40)/25*-1*5/2.
4
(5/(-7))/(5/(-35))
5
What is the value of 5/100*-4*5*0?
0
Evaluate (5/4)/(770/176).
2/7
Calculate ((3/(-228))/1)/((-146)/1168).
2/19
What is ((-73)/(-876))/(2/(-8))?
-1/3
(-120)/18*9*10/(-75)
8
Evaluate ((-7)/5)/(((-19)/5)/(-19)).
-7
What is the value of (10/(-5))/(2/(-4))?
4
Calculate ((-184)/(-207))/(2/9).
4
What is ((-2)/(-35))/(20/(-100))?
-2/7
(-2*1/1)/((-4)/8)
4
Calculate 0/(6*(-7)/(-21)).
0
(-8)/(160/(-10))*2/5
1/5
Evaluate -2*-3*1/30.
1/5
What is the value of (324/126)/((-12)/(-28))?
6
(-15)/(-2)*3/(-9)
-5/2
Calculate 26/26*0/(-1).
0
Evaluate ((-42)/(-35))/(2/5).
3
Calculate 18/(-24)*16/(-6).
2
What is ((-7)/(-20))/(-7)*(-75)/60?
1/16
Calculate (18/(-14))/((-213)/1491).
9
What is the value of (11/33)/((-3)/9)?
-1
Calculate -8*(-7)/140*10/(-14).
-2/7
(((-60)/16)/5)/((-3)/1)
1/4
1/(-15)*45/9
-1/3
Evaluate (3*9/567)/((-3)/(-45)).
5/7
What is the value of 6/(-2)*(8/(-51))/4?
2/17
(((-60)/(-9))/5)/((-2)/(-1))
2/3
What is the value of 1*-3*11/33?
-1
Evaluate 5/(-2)*2/5.
-1
Evaluate (-8)/1760*5*-24.
6/11
Calculate (-2)/30*-3*5.
1
Evaluate 4/(-48)*-4*3.
1
What is 1*30/(-18)*3?
-5
Evaluate (-1)/(6/45)*14/(-21).
5
Calculate 10/(-16)*1*452/226.
-5/4
(-1)/(-8)*5*(-34)/(-85)
1/4
What is 30/120*2/(-21)*-6?
1/7
Calculate (-1)/(-4)*-8*4/56.
-1/7
Evaluate -1*1/(-1)*-5.
-5
Calculate ((-1)/(-1))/((-48)/432).
-9
2*-6*1*1/4
-3
What is the value of (-6)/(8/4)*1/1?
-3
What is ((-2)/(-6))/((-6)/90)?
-5
((0/3)/1)/2
0
Evaluate (((-45)/6)/(-5))/((-135)/(-20)).
2/9
Calculate 40/30*(-10)/((-30)/9).
4
What is the value of (-99)/(-33)*2/9?
2/3
What is (-30)/(-95)*((-30)/(-18))/5?
2/19
Evaluate (-10)/60*(-24)/6.
2/3
Evaluate 3/18*10/25*-5.
-1/3
What is 16*6/((-132)/11)?
-8
2/(-12)*2*306/(-17)
6
What is the value of ((-10)/(-8))/(1/(-4))?
-5
Evaluate 12/(-45)*8/160*10.
-2/15
34/(-153)*(-6)/(-2)
-2/3
(14/273)/((6/9)/2)
2/13
((-3)/(-9))/(84/(-108))
-3/7
Calculate (-4)/3*(-72)/(-16)*1.
-6
What is the value of (122/671)/((-24)/22)?
-1/6
What is (19/(190/100))/((-2)/(-1))?
5
What is the value of ((-6)/(-8))/((-9)/(-2))?
1/6
1/(6/(12/(-10)))
-1/5
Evaluate ((-8)/(-10))/((-4)/20).
-4
What is (6*(-2)/(-42))/(51/21)?
2/17
((-2)/((-24)/18))/((-3)/(-4))
2
3*8/48*0
0
(-16)/(-10)*(-5)/(-2)
4
Calculate ((-4)/(-6))/((-8)/12)*-6.
6
What is 8/16*-2*1?
-1
Evaluate (-2)/((7/(-28))/(-1)).
-8
-2*(-1)/4*(-4)/3
-2/3
Evaluate (-2)/12*-3*6/18.
1/6
What is the value of 0*((-1)/1)/(-1)?
0
Calculate 12/378*(-27)/(-6).
1/7
((-5)/3)/(-5*10/90)
3
What is (((-8)/(-6))/(-4))/((-20)/(-6))?
-1/10
What is the value of (-32)/4*(-6)/60?
4/5
(-23)/(230/12)*5/2
-3
4/10*(-105)/(-70)
3/5
What is (-2)/(-7)*8*5/(-80)?
-1/7
Evaluate 6/(-2)*((-20)/15)/2.
2
Calculate -2*1/4*-2*2.
2
Calculate ((20/56)/5)/(14/(-28)).
-1/7
What is ((8/(-6))/4)/(35/60)?
-4/7
What is the value of (-2)/(-15)*15/6?
1/3
What is the value of -1*2*(-78)/(-39)?
-4
(-16)/(-4)*3/6*1
2
What is 1/(-5)*104/26?
-4/5
Evaluate (10/(-2))/(35/14*-3).
2/3
Evaluate (-1)/18*2*-6.
2/3
What is the value of (4/14)/((-3)/((-15)/5))?
2/7
Evaluate 3*((-4)/(-54))/((-4)/(-12)).
2/3
Evaluate (-36)/(-3)*2/(-6).
-4
Evaluate (-46)/23*(10/2)/5.
-2
(-4)/(-4)*(-21)/(-3)
7
What is (-2)/(-5)*75/30?
1
What is ((-32)/160)/(((-4)/(-5))/2)?
-1/2
3/(12/(-4))*(-9)/(-3)
-3
Calculate 120/144*(-8)/10.
-2/3
What is (-8)/6*18/(-12)?
2
What is the value of ((-2)/(-1)*1)/((-21)/(-6))?
4/7
Evaluate 15/(-50)*2/(-6)*-2.
-1/5
49*(-9)/(-630)*12/(-21)
-2/5
What is (2/27)/(5*(-3)/(-45))?
2/9
What is 75/15*-1*(-4)/(-5)?
-4
((-5)/20)/((-6)/(-8))*9
-3
Calculate 84/(-4)*5/15.
-7
Calculate 1/((120/110)/(-12)).
-11
What is the value of (-336)/(-784)*(-14)/2?
-3
Calculate (10/(-30))/(3/27*2).
-3/2
What is ((-22)/(-88))/(1/(-8)*7)?
-2/7
Calculate 40/60*(-2)/14.
-2/21
What is the value of 2/(-4)*(-5)/60*9?
3/8
What is the value of (-5)/(12/(-8)*(-2)/(-3))?
5
Calculate (-18)/(-12)*(-2)/12*2.
-1/2
What is the value of 10/(-50)*3*-10?
6
8*((-25)/5)/(-10)
4
Calculate (-3)/5*8/(-6).
4/5
((-6)/(72/15))/((-8)/32)
5
What is the value of (805/(-84))/(-23)*(-3)/(-5)?
1/4
What is the value of (-1*6/63)/((-28)/84)?
2/7
Calculate (-34)/(-17)*(-2)/(-12).
1/3
((195/26)/(-5))/(3/4)
-2
Calculate (35/70)/(3/6).
1
(((-10)/(-4))/5*0)/2
0
What is the value of ((-21)/(-210))/(8/10)?
1/8
What is the value of -2*(-13)/156*6?
1
What is (-4)/(-35)*(-80)/(-32)?
2/7
(10/(-20))/(4/(-8))
1
Evaluate (402/(-3283))/((-3)/7).
2/7
What is ((-2)/(-10))/(28/35)?
1/4
What is (1/(-1)*-1)/((-1)/(-3))?
3
Evaluate ((-10)/(-16))/(145/87).
3/8
What is the value of (-2)/(20/12*12/(-6))?
3/5
((-17)/255*5)/((-11)/(-3))
-1/11
(-12)/(-3)*(-4)/8
-2
Evaluate (6/(-7))/((-88)/(-154)).
-3/2
(-960)/(-360)*(-6)/(-8)
2
Calculate (-26)/78*3/(-5).
1/5
Calculate 37/((-1184)/(-144))*2/1.
9
Calculate ((-6)/(-16))/(351/1248).
4/3
3*(-7)/(-63)*(-12)/2
-2
Calculate ((-18)/30)/((-8)/(80/(-9))).
-2/3
Evaluate 12/(-5)*(-45)/(-18).
-6
Calculate 14/63*6*3/14.
2/7
Evaluate 100/40*(-12)/(-15).
2
What is ((-9)/(-6))/((-24)/64)?
-4
What is (5/2)/((-5565)/(-636))?
2/7
Evaluate ((-4)/(6/3))/(-9).
2/9
What is the value of 1/2*12/(39/13)?
2
(-2)/(2/(-6)*3)
2
Calculate ((7/3)/(-7))/(75/(-45)).
1/5
Calculate 3/(-8)*-5*(-9)/(-135).
1/8
What is the value of 40/(-36)*12/140?
-2/21
Calculate 1*((-3)/(-10))/(72/60).
1/4
Calculate 10/((-5)/((-10)/4)).
5
Evaluate ((-300)/800)/((-3)/(-2)).
-1/4
Evaluate -3*(21/70)/(18/15).
-3/4
Calculate (2/21)/(26/(-2223)*-19).
3/7
What is the value of 1/1*(-240)/(-660)?
4/11
What is (32/(-128))/((-6)/8)*-6?
-2
Calculate (-4)/(-4)*22/22.
1
4/(-26)*(-7)/7
2/13
Evaluate -5*(-2)/(-60)*2.
-1/3
Calculate (2/(-22))/(16/32).
-2/11
What is -1*(112/105)/(-8)?
2/15
What is the value of (-6)/4*284/3408?
-1/8
Calculate ((-75)/9)/(-5)*3.
5
(10/15)/((-2)/3)
-1
Evaluate (-2)/(-4)*8/(-12).
-1/3
(6/(-1))/2*(-310)/(-155)
-6
What is the value of ((-1)/15)/(30/75)?
-1/6
Calculate ((-5)/2)/(3/((-3)/2)).
5/4
What is (-5)/(-1)*19/(-19)?
-5
Calculate 4/(-1)*(-1)/(-6*1).
-2/3
What is 3/((-12)/(-576)*18)?
8
-1*((-18)/8)/(-9)
-1/4
What is the value of (-5)/(12/84*7)?
-5
Calculate 1/(34*(-11)/44).
-2/17
24/(-10)*40/(-24)
4
What is the value of ((-19)/(-38))/(2/(-20))?
-5
((-4)/(-20)*10)/((-4)/6)
-3
What is (5*(-18)/(-405))/((-35)/(-90))?
4/7
What is the value of 12/3*16/32?
2
What is the value of 1/2*(-704)/(-1936)?
2/11
Calculate ((-54)/(-90))/(2/(-10)).
-3
Evaluate (14/21)/((-1)/(9/15)).
-2/5
(-10)/((-8)/((-8)/(-2)))
5
Evaluate (-12)/(-26)*((-48)/(-18))/8.
2/13
What is ((-3)/60)/(8/(256/12))?
-2/15
Calculate (1/(-6))/((-16)/32).
1/3
Evaluate 1/(9/(54/(-3))).
-2
Calculate 2*(-4)/((-16)/6).
3
(-1)/(-2)*(-348)/406
-3/7
What is (5/(15/(-2)))/((-2)/9)?
3
What is (-3)/(-6)*7/7?
1/2
What is the value of 6*(2/(-6))/((-8)/(-3))?
-3/4
5/((-45)/9)*(-4)/(-14)
-2/7
((-1)/15)/((-492)/(-1230))
-1/6
What is (56/(-70))/(1/(-5))?
4
(4/2)/(-6)*12/4
-1
Calculate (-1113)/(-318)*-1*-1*2.
7
Calculate 301/43*(-6)/(-14).
3
((-4)/(-6))/((-4)/(-6))
1
Evaluate (90/75)/(48/15).
3/8
What is (-6)/2*12/(-24)?
3/2
Evaluate 48/(-24)*1/(-6).
1/3
3/(-9)*(-180)/40
3/2
((-14)/((-70)/15))/((-3)/6)
-6
What is the value of 30/(-15)*(-4)/(-2)?
-4
Calculate ((-6)/((-10)/(-5)))/1.
-3
Evaluate 4/
|
{
"pile_set_name": "DM Mathematics"
}
|
etters picked without replacement from bbzzz.
1/10
Four letters picked without replacement from {g: 3, x: 1, z: 4, w: 6, o: 1}. Give prob of sequence gwow.
1/364
Four letters picked without replacement from txxxtjnxxxnjxxxn. What is prob of sequence jxtt?
3/3640
Four letters picked without replacement from {f: 1, d: 5, h: 3, m: 9}. Give prob of sequence hmmm.
7/340
Two letters picked without replacement from {y: 2, l: 1}. What is prob of sequence yy?
1/3
Two letters picked without replacement from {k: 5, j: 7}. What is prob of sequence kj?
35/132
Two letters picked without replacement from {p: 2, c: 1, r: 2}. Give prob of sequence pr.
1/5
Calculate prob of sequence po when two letters picked without replacement from {t: 5, u: 1, o: 1, h: 3, p: 5}.
1/42
Four letters picked without replacement from iddddddididddidddidd. Give prob of sequence ddid.
455/3876
What is prob of sequence iiip when four letters picked without replacement from pippaaiii?
1/42
Three letters picked without replacement from vrrrqvr. What is prob of sequence vrq?
4/105
Calculate prob of sequence hlp when three letters picked without replacement from gdhlhip.
1/105
What is prob of sequence eem when three letters picked without replacement from {k: 3, m: 2, e: 12}?
11/170
Two letters picked without replacement from xlllllllxlxxx. Give prob of sequence xx.
5/39
What is prob of sequence dxkx when four letters picked without replacement from xnnjkkjjdkjxkjj?
1/4095
What is prob of sequence uu when two letters picked without replacement from uiituiuiuiuuititt?
15/136
Four letters picked without replacement from {n: 1, r: 5, j: 5}. Give prob of sequence jrrr.
5/132
What is prob of sequence oi when two letters picked without replacement from ovoioopvpoooxv?
1/26
Three letters picked without replacement from ddcdc. Give prob of sequence ddd.
1/10
What is prob of sequence clc when three letters picked without replacement from lllcizc?
1/35
What is prob of sequence wnm when three letters picked without replacement from mmmmmmmnmmmwm?
1/156
Calculate prob of sequence rz when two letters picked without replacement from wwllwzzzwzrlrzrrz.
3/34
Two letters picked without replacement from fzzmzmmzmzzzk. What is prob of sequence fm?
1/39
Two letters picked without replacement from {k: 1, o: 2, c: 8, s: 2, b: 1}. Give prob of sequence kb.
1/182
What is prob of sequence quii when four letters picked without replacement from {u: 1, i: 3, q: 3, z: 3}?
1/280
Four letters picked without replacement from {o: 2, p: 2, t: 1, k: 7}. Give prob of sequence otpk.
7/2970
Four letters picked without replacement from {n: 6, r: 4, g: 1, h: 2}. Give prob of sequence nrrn.
3/143
Calculate prob of sequence gt when two letters picked without replacement from tgghggtigt.
1/6
Calculate prob of sequence ps when two letters picked without replacement from {s: 1, p: 4, j: 1, y: 2}.
1/14
Three letters picked without replacement from {w: 2, k: 7, m: 3, c: 5, s: 1}. What is prob of sequence csw?
5/2448
What is prob of sequence qx when two letters picked without replacement from {n: 2, t: 3, y: 1, x: 3, s: 3, q: 3}?
3/70
Three letters picked without replacement from {v: 4, m: 10, d: 2, h: 3}. What is prob of sequence mvv?
20/969
Calculate prob of sequence ubq when three letters picked without replacement from qrttqtrzrrrrtuqubzq.
4/2907
Four letters picked without replacement from hhsphphphshpsh. Give prob of sequence hshs.
3/286
Three letters picked without replacement from {o: 1, j: 1, z: 2, x: 1}. Give prob of sequence oxj.
1/60
Four letters picked without replacement from qhrhpqqyyy. What is prob of sequence hrhy?
1/840
Two letters picked without replacement from fffffffff. Give prob of sequence ff.
1
Calculate prob of sequence nui when three letters picked without replacement from {i: 2, y: 2, u: 1, a: 4, n: 3}.
1/220
What is prob of sequence heu when three letters picked without replacement from {n: 2, e: 2, u: 1, h: 1, o: 1, p: 1}?
1/168
Calculate prob of sequence dp when two letters picked without replacement from dpddpddddddddpd.
6/35
Two letters picked without replacement from iiiidiii. What is prob of sequence di?
1/8
What is prob of sequence drtv when four letters picked without replacement from {d: 8, v: 2, t: 2, r: 6}?
2/765
What is prob of sequence rc when two letters picked without replacement from {c: 7, t: 8, r: 3}?
7/102
Calculate prob of sequence fefx when four letters picked without replacement from fffexeexeef.
1/66
Calculate prob of sequence tbb when three letters picked without replacement from {w: 1, b: 4, t: 9, x: 3, e: 2}.
6/323
What is prob of sequence ax when two letters picked without replacement from bbndnvxvavdn?
1/132
Two letters picked without replacement from jjjznnknjdjdjjznud. Give prob of sequence kn.
2/153
Calculate prob of sequence xlt when three letters picked without replacement from {t: 1, q: 5, x: 3, k: 1, l: 1}.
1/330
Four letters picked without replacement from {d: 6, n: 4}. What is prob of sequence nddd?
2/21
Three letters picked without replacement from bbwbbbwwwbwwbw. Give prob of sequence wbw.
7/52
Calculate prob of sequence ehee when four letters picked without replacement from eeeh.
1/4
Two letters picked without replacement from utmuv. Give prob of sequence mv.
1/20
Four letters picked without replacement from {r: 7, y: 2, m: 2, a: 8}. What is prob of sequence yrra?
7/969
Four letters picked without replacement from bnnbbnnn. Give prob of sequence nnnb.
3/28
What is prob of sequence vh when two letters picked without replacement from orqhv?
1/20
Calculate prob of sequence tpb when three letters picked without replacement from {t: 1, b: 7, p: 1, f: 8}.
7/4080
Four letters picked without replacement from pznhnnhnznnnhpnzn. What is prob of sequence hppn?
9/9520
Three letters picked without replacement from {w: 2, x: 1, j: 6, k: 1, q: 5}. Give prob of sequence jwq.
2/91
Two letters picked without replacement from {m: 1, r: 11, p: 3}. What is prob of sequence rm?
11/210
What is prob of sequence ji when two letters picked without replacement from {e: 2, u: 3, i: 3, p: 1, t: 1, j: 1}?
3/110
Four letters picked without replacement from kkhk. Give prob of sequence hkkk.
1/4
Three letters picked without replacement from rttrrrrrtrttttrtrrt. Give prob of sequence rtt.
40/323
Calculate prob of sequence su when two letters picked without replacement from dgwwgwwswswwswsswu.
5/306
What is prob of sequence dnn when three letters picked without replacement from quunydqnuyyudynuuy?
1/408
Calculate prob of sequence ofif when four letters picked without replacement from {i: 1, f: 2, v: 4, o: 3}.
1/840
Two letters picked without replacement from {c: 1, w: 1, z: 2}. Give prob of sequence zc.
1/6
Calculate prob of sequence ss when two letters picked without replacement from sqaaaasq.
1/28
What is prob of sequence iiii when four letters picked without replacement from ivivviiviv?
1/42
Two letters picked without replacement from dhzazhz. What is prob of sequence ha?
1/21
What is prob of sequence gv when two letters picked without replacement from {g: 2, v: 1, j: 2, n: 6, m: 3}?
1/91
Four letters picked without replacement from mvvvvavavvvm. Give prob of sequence vmmv.
14/1485
Calculate prob of sequence ipk when three letters picked without replacement from {i: 1, b: 2, p: 2, j: 1, k: 1, d: 1}.
1/168
Two letters picked without replacement from {e: 2, y: 8, g: 4, x: 1, p: 1}. Give prob of sequence pg.
1/60
Four letters picked without replacement from {g: 1, s: 3, q: 3, l: 3}. What is prob of sequence sqgl?
3/560
Calculate prob of sequence rjrr when four letters picked without replacement from rrjrrjrjrjjjjr.
35/572
What is prob of sequence dcx when three letters picked without replacement from dddvdddxxddcxd?
9/728
Four letters picked without replacement from {k: 10, q: 5, r: 3, m: 2}. Give prob of sequence kqmk.
5/646
Calculate prob of sequence zfm when three letters picked without replacement from rzfpruumupp.
1/990
Two letters picked without replacement from uuuyuuujuj. Give prob of sequence yj.
1/45
Four letters picked without replacement from hsshahlllal. Give prob of sequence hsla.
1/165
Three letters picked without replacement from lmcclmmmllll. What is prob of sequence llc?
1/22
Fo
|
{
"pile_set_name": "DM Mathematics"
}
|
w(15). Is y greater than 39?
True
Let d = 174 - 136. Which is bigger: 3 or d?
d
Suppose -1463 = -22*w - 36*w - 19*w. Let x = -35 - -58. Which is smaller: x or w?
w
Let z = -1861 - -1997. Which is greater: 133 or z?
z
Suppose 0 = 2*f + 2, o + 0 + 4 = 5*f. Let b be 167/(-20) - o/12. Which is greater: -8 or b?
b
Let d(u) be the first derivative of -u**4/4 - 2*u**3 - 3*u**2/2 - 5*u - 43. Let h be d(-5). Which is bigger: 3 or h?
3
Suppose -p = -3*a + 12, 0 = 2*a + 2*p - 4*p - 4. Let n(q) = -5*q + 8*q - 5 + a*q + q**2. Let m be n(-8). Which is smaller: m or -3?
m
Let u(b) = b**3 - 16*b**2 + 15*b. Let n(t) = -t**3 - 2*t**2 - 3*t - 3. Let s be n(-2). Let i be 176/12 + 1/s. Let g be u(i). Which is greater: 1/9 or g?
1/9
Let a be 6/15 + 118/5. Let c = a + -22. Suppose -3*x = -8 + c. Is x >= -0.02?
True
Suppose 0 = -4*t + 2*l - 14, 8 = 6*t - 9*t + l. Let r = 1574/11 - 143. Which is smaller: r or t?
t
Suppose y = -4*p - 16, -3*p + 2 = 5*y - 3. Let c be p/20*2/5. Is -1 at most as big as c?
True
Let v(f) = f + 6. Let j be v(-6). Suppose 4*u = u - j*u. Which is smaller: u or -1/14?
-1/14
Suppose 2996 = 4*i - 0*t + t, -t = i - 752. Which is bigger: i or 747?
i
Let y = 0.248 - 1.248. Is y bigger than -24?
True
Let i = -0.1042 - -0.1662. Let k be 3/7 - (-9)/(-21). Is i at least as big as k?
True
Let a be 3*(-1)/(3/(-8)). Suppose 0 = 2*q - 0*q - a. Let r be 29/q - 7/28. Which is smaller: 6 or r?
6
Let b = 612 + -613. Which is smaller: -1/200 or b?
b
Let m be (-21)/(-2)*(-16)/(-12). Let a = 29 - m. Do a and 16 have different values?
True
Let i(v) = -5*v + 4. Let j be i(0). Suppose 28 + 25 = h. Let k be (-5)/(-10)*j/h. Are k and 2/3 unequal?
True
Suppose -2*a = 5*q - 47, -3*a - 34 = -4*q - a. Suppose 2*v - 5*g - 23 = -0*v, 0 = -3*v - 4*g. Suppose q*p + 155 = v*p. Which is smaller: -30 or p?
p
Let k = -4 - -10. Let c be 12/(-15) - k/15. Let r(h) = -h - 10. Let g be r(-9). Which is smaller: c or g?
c
Let r(o) = 30*o - 11. Let t be r(5). Suppose 4*k - 73 = t. Is 52 less than k?
True
Let d(j) = -j**3 - 6*j**2 - 2*j + 10. Let q be d(-5). Let n be (-68)/q + (-114)/190. Are 14 and n nonequal?
True
Let c(z) be the first derivative of z**2 + 15*z - 1. Let i be c(-7). Let v be 0/(i/1) + 10. Which is greater: v or 11?
11
Let r = -1062 - -5292/5. Suppose -2*y = y - 12. Let d be 3/(-3 + y + -2) - 0. Is d greater than r?
True
Let o be ((-4)/6)/(14/(-1827)). Suppose -3*v + o = -3*h, -3*v - h + 158 = 63. Is v smaller than 30?
False
Let k = -220 + 136. Let r be (-56)/k*48/(-10). Does -3 = r?
False
Let u be (785/(-15) - 0) + 3/9. Which is smaller: -55 or u?
-55
Let n(i) be the third derivative of -9*i**4/8 + i**3/3 + 34*i**2. Let p be n(1). Which is smaller: -23 or p?
p
Suppose 2*v = -0 + 2, 0 = -2*y - 2*v - 6. Let d(i) = -i**3 - 6*i**2 - 2*i - 8. Let n be d(-6). Suppose -5*b - 6 = n. Is y smaller than b?
True
Suppose 0 = 2*t - t - 5. Suppose 5*j = -4*d + 36, -2*j - 2*d + 21 = -7*d. Is j at least t?
True
Let k be (-2)/(-24)*(-24)/15. Let d be (2 - (-1)/(-1)) + 0. Is k greater than d?
False
Let f be -4 + 4 + 0 + 2. Suppose 0 = 12*z - 10*z - f. Let t be -4*2/10 + z. Which is bigger: t or 0?
t
Suppose 3 = 2*m - 5*m. Suppose j + 3 = -1. Let x be ((-12)/j + -3)/m. Which is bigger: 2/5 or x?
2/5
Let v be 3/(9/10) - (-4)/6. Is v at most 9?
True
Let v be 2/6 - 38/6. Let k be (1 - 14/v)*-3. Suppose -4*l - 21 = 19. Are k and l equal?
True
Let v be (-3)/18 - 1 - -2. Suppose -4*w = -3*l + 1 + 3, 12 = 4*l - 4*w. Let b(q) = q**2 - 7*q - 7. Let u be b(l). Are v and u equal?
False
Suppose -2*s + 16 = 4*t, -6*s = -4*s - 8. Suppose 0 = -3*n - a + 3, -3*n + 3*a - 3 = t*a. Is n at least as big as 6/23?
False
Let x = 0.1612 - 0.0262. Which is smaller: -0.1 or x?
-0.1
Let k = 3.3 + -0.3. Let j = 23.77 + -24. Let m = j + 2.23. Is k less than or equal to m?
False
Suppose 0 = 4*s + 4*x - 12, 4*x = -0*s + s + 7. Let r be ((-140)/(-50))/(s/5). Let t be 27/18 - 17/r. Is t >= 1.4?
False
Let z be -30*7*(-33)/11. Which is bigger: 631 or z?
631
Suppose 5*t + 3*i + 1 = -17, 18 = -t + 3*i. Let q be (-14)/4*3/(t/20). Is 2/7 at most q?
True
Let c = 0.28 - 0.38. Let p = -0.4 + 0.5. Let z = 3.1 - p. Which is smaller: c or z?
c
Let g be -1 + 5 + (3 - 303/45). Do 1 and g have the same value?
False
Let a(t) = -4*t - 54. Let s be a(-13). Let z be s + (5/(-25))/(2/(-16)). Which is bigger: -3.8 or z?
z
Suppose 17*o - 22*o - 486 = i, 4*o = -2*i - 960. Is i >= -476?
True
Let v be 46/(5*77/1210). Is v less than or equal to 145?
True
Let w be (-2)/36*(-1 + (-164)/(-40)). Let q = -1/20 + w. Is 2/5 > q?
True
Let y(w) = 5*w + 2 - 6*w - 5*w - 6*w. Let i be y(1). Is -10 > i?
False
Let l = 1744 + -1716. Which is bigger: 7 or l?
l
Let f = 3814 - 369952/97. Is -1 smaller than f?
True
Let c be ((-5487)/(-248))/(1/12)*2. Is 529 < c?
True
Let b = -141 + 142. Which is smaller: 2/2637 or b?
2/2637
Suppose 13 = -23*f - 10. Is 19 greater than or equal to f?
True
Let s be (3/882)/(2/6). Suppose -k - h - 4 = 2*k, -5*h - 3 = -2*k. Do k and s have the same value?
False
Let k = 131 + -144. Is k at most -0.05?
True
Let u be ((-3)/(18/21))/(21/(-84)). Suppose -4*v + 22 = t, 0*t - 6 = -3*t. Suppose -v*w - 2*q = -59, 4*q = -0*q - 12. Which is smaller: w or u?
w
Let w be -3*-17*(3 - 2). Suppose -u - w = -x, x - 34 - 26 = -2*u. Let b be (1/(-3))/((-3)/x). Is b <= 5?
False
Suppose 0 = 2*y - 341 + 241. Is 51 at most as big as y?
False
Let k(o) = -4*o**2 - o - 1. Let l be -1 - (0 + -3 - 0). Let u be k(l). Suppose r + 100 = -5*c, 5*r = 5*c + r + 100. Is u at least c?
True
Suppose 0 = 3*b + 4*s + 8 + 2, 2*s - 6 = 4*b. Which is smaller: -25/13 or b?
b
Suppose 0 = -5*i - 3 - 27. Let j = 13/230 + -551/1610. Which is smaller: j or i?
i
Let q be (-168)/(-72)*2/91. Which is greater: q or -11/4?
q
Let f(r) = 4*r + 36. Let j be f(3). Is j not equal to 45?
True
Let w be -39 + 10/(-2) + 4. Is w bigger than -124/3?
True
Let m = 20.6 + -20.9. Let f = -7.09 + 0.09. Is f at least as big as m?
False
Let h = -255662/153 - -1671. Which is bigger: 0 or h?
h
Let d = 1461.1 + -1461. Is -178 bigger than d?
False
Let v(j) = -j**3 + 25*j**2 + 28*j - 34. Let m be v(26). Suppose -5*y + 55 = 3*n + 2*n, -5*y = -n - 85. Let d = y + 3. Does d = m?
False
Let a = 3/23 + -67/161. Suppose 4*s - 36 = 2*z, 0 = 2*s + 2*z - 32 + 26. Is s >= a?
True
Suppose 1407 = p + 5*f, -2*p + 6*p - 5649 = f. Which is bigger: 1413 or p?
1413
Let k = -269 - -322. Which is smaller: k or 55?
k
Let f(l) = -3*l**2 - l + 5. Let r be f(-4). Let g = 32 + r. Suppose 5*m = 2*i + i - 2, 3*i + 3*m + 30 = 0. Which is smaller: g or i?
g
Let c(g) = g**2 + g - 14. Suppose -3*w + j - 3 = -2*w, 0 = -2*j - 2. Let r be c(w). Which is smaller: r or -13/7?
r
Suppose 2*v = 2*j - 26, -3*j + 0*v + 4*v + 38 = 0. Let f be 1 + 5 + (-5)/(20/(-32)). Are f and j equal?
True
Let n be (-87)/(-9) - (-8)/(-12). Suppose -n - 19 = 4*a. Which is greater: -9 or a?
a
Let a = 327 + -325. Which is bigger: 260 or a?
260
Let v be -1 + -8*3/(-108). Which is greater: -2 or v?
v
Let d be (-17552)/6*2/(-24). Let g = d - 244. Is g at least as big as -0.06?
False
Let z be (-40)/(-24)*(-6)/20. Is 46 at most as big as z?
False
Let m(v) = v**3 - 7*v**2 + 9*v + 4. Let i be m(5). Is i at most as big as 2/185?
True
Let q be 3/(-9) - 33/9. Let z = q - -4. Let w = 473/342 - 23/18. Is w equal to z?
False
Let t be (8962/(-1790) + 5)/((-3)/10). Let u = t + 2307/895. Is u < 3?
True
Let c be (89 - 2)/(2/54). Let g be 1/3 - 702/c. Is g > 0?
True
Let j = -0.051 + 13.051. Let q = 12.9 - j. Is 1/11 at most q?
False
Suppose -122 = 3*l - 41. Let u = 46 - -2. Let q be (-3)/(-4)*u/l. Which is smaller: q or 3?
q
Let c be (1/(-3))/(8/24). Suppose 0 = -7*q + 11*q + 12. Which is bigger: c or q?
c
Let v = 17816/7 + -2550. Is -5 <= v?
True
Let x = -2.7 + 3. Let i = x + -0.2. Let b = -128 + 127. Is b at most as big as i?
True
Let c = -118 + 101. Let x = c - -2. Which is smaller: x or 2/3?
x
Let d be 5/4 - (-19 + 20). Suppose -4*f + 4 = -r, 7*r = 6*r - 2*f + 2. Which is bigger: r or d?
d
Let a = 815/637 - 25/49. Which is greater: a or 2?
2
Suppose -20*l - 12 = -23*l. Suppose 0 = -5*d + 3*h + 1, -l*d + 2*h + h - 1 = 0. Let w be (d/(-6))/(33/(-9)). Which is greater: -1 or w?
w
Let p be (3 - 9/6)/(-4 - 17). Which is smaller: p or 1/78?
p
Let z(l) = l + 3. Let f be z(-3). Suppose -5*t -
|
{
"pile_set_name": "DM Mathematics"
}
|
26994*r**2 - 214802*r - 4 wrt r?
-6*r - 1053988
Find the first derivative of 451653*f + 500609.
451653
Find the first derivative of 2*o**2*p + 486194*o*p**2 - 394303*p**2 - 1 wrt o.
4*o*p + 486194*p**2
Find the third derivative of 512339*b**2*k**3*x**3 - b**2*k**3*x**2 + 2*b**2*k**3 + b**2*k*x**2 + 158*b*k**3*x + 110*b*k**3 wrt x.
3074034*b**2*k**3
Find the second derivative of -285*b**4 - 1260*b**2 - 1604032*b.
-3420*b**2 - 2520
What is the second derivative of 30687*p**3 - 198312*p?
184122*p
What is the second derivative of -29*x*z**2 - 2*x*z - 11*x + 20748*z**5 + 27*z + 57 wrt z?
-58*x + 414960*z**3
Find the third derivative of -9*q**5 - 7*q**4 - 25*q**3 + 282*q**2 - 4 wrt q.
-540*q**2 - 168*q - 150
Find the first derivative of -17903*l**2 + 33694 wrt l.
-35806*l
What is the third derivative of 26723*j**5 + 54238*j**2 wrt j?
1603380*j**2
Find the third derivative of 3268*q**4 + 13*q**3 + 1307*q**2 - 3*q + 5.
78432*q + 78
What is the second derivative of -7*a**2*l**2 + 2*a**2*l + 27*a**2 - 55*a*l**2 - 3*a - 17*l**2 - 2*l wrt a?
-14*l**2 + 4*l + 54
Find the third derivative of 2*u**5 - 573*u**4 - 226*u**3 - 3*u**2 - 149298 wrt u.
120*u**2 - 13752*u - 1356
What is the derivative of -3505*a*n*s**2 + 3*a*n - 2*a*s**3 + 5*n*s**3 - 2*n*s**2 - 14055*s**3 wrt a?
-3505*n*s**2 + 3*n - 2*s**3
Find the third derivative of -98*f**6*s**2 - 14*f**6 + f**2*s**2 - 9*f*s**2 - 469*f*s wrt f.
-11760*f**3*s**2 - 1680*f**3
Differentiate -173*c*q + 12743*c + 44*q**4 wrt q.
-173*c + 176*q**3
What is the second derivative of -382835*i**2 + 7*i - 3249 wrt i?
-765670
Differentiate 3136*v*y**2 - 9653*v - 4*y**2 + 2 with respect to y.
6272*v*y - 8*y
Find the third derivative of -1859*b**4 + 27*b**3 + 26705*b**2.
-44616*b + 162
What is the second derivative of 68749*t**3 - t**2 + 390964*t?
412494*t - 2
What is the second derivative of 7537*b**4 + 7*b**3 + 16555*b?
90444*b**2 + 42*b
Find the third derivative of 87*q**6 - 28*q**3 + 610*q**2 - 16.
10440*q**3 - 168
Find the second derivative of 4*u**5*w*z + 129827*u**2*w**3*z + 3455*u*w - 2*u - w**3 + 2*w**2*z + 2*w*z - w wrt u.
80*u**3*w*z + 259654*w**3*z
What is the second derivative of 2*z**5 + 95*z**3 + 412*z**2 + 42*z + 991?
40*z**3 + 570*z + 824
Find the third derivative of -161519*i**4 - i**3 - 341131*i**2.
-3876456*i - 6
Differentiate -2*h*v**2 - 94*h*v + 6850*h + 918727*v**2 wrt h.
-2*v**2 - 94*v + 6850
Find the third derivative of -136656*p**5 + 8*p**2 + 16414.
-8199360*p**2
Find the third derivative of -27306*c**6 + 16300*c**2 wrt c.
-3276720*c**3
What is the third derivative of 12*o**4 + 28458*o**3 - 34*o**2 + 4750*o wrt o?
288*o + 170748
What is the derivative of 3212936*d + 209577 wrt d?
3212936
Differentiate 1349283*i + 871743.
1349283
What is the third derivative of 1788367*v**5 + v**4 + 1339382*v**2 + 2?
107302020*v**2 + 24*v
What is the second derivative of 2*c**5 - 28*c**3 - 19*c**2 + 178977*c wrt c?
40*c**3 - 168*c - 38
What is the first derivative of 988*m**2*p*r - 3*m*p**3*r + 3*m*p**3 - 1524*p**3*r - 3*p**2*r + 2*p - 2 wrt m?
1976*m*p*r - 3*p**3*r + 3*p**3
Find the third derivative of 842177*q**3 - q**2 - 82*q - 1343 wrt q.
5053062
What is the first derivative of -s*y - 723685*s - 116857*y wrt y?
-s - 116857
Find the third derivative of 189105*h**3 + 16473*h**2 + h + 1.
1134630
Find the second derivative of -89140*k**3*r**2 - k**3*r - 10*k**3 + 2*k**2*r + 30*k*r wrt r.
-178280*k**3
Find the third derivative of 3*v**5 - 3*v**4 + 3488*v**3*y + 2*v**2*y - 678*v**2 + 4*v wrt v.
180*v**2 - 72*v + 20928*y
Find the first derivative of -5265101*r**2*z - 31549*r**2 - r - 18 wrt z.
-5265101*r**2
What is the second derivative of 9*m**4 + 4*m**3 + 6495*m**2 + 1704*m + 17?
108*m**2 + 24*m + 12990
Differentiate 2*s**4 - 6*s**3 - 6975*s**2 + 1108255.
8*s**3 - 18*s**2 - 13950*s
What is the derivative of -21*c*s**4 - 4614*c*s**3 + 305815*c wrt s?
-84*c*s**3 - 13842*c*s**2
What is the third derivative of 3568399*a**3 - a**2 - 1290171*a wrt a?
21410394
What is the derivative of -329481*t**2*u + 80035*t**2 wrt u?
-329481*t**2
Find the second derivative of -24*i**3*w**3 + 2*i**3*w + 36606*i**3 + 675*w**2 wrt w.
-144*i**3*w + 1350
Find the third derivative of 2*h**5 - 402596*h**4 - 2*h**2 + 4*h - 38929.
120*h**2 - 9662304*h
Find the first derivative of 581*c*m**2 - 56*c*m - m**2 + 717*m - 9 wrt c.
581*m**2 - 56*m
Find the third derivative of 153*r**3*u**4 - 686*r**3*u**2 + 2*r**3*u + 5*r**3 + 5*r**2*u**3 + u**4 wrt u.
3672*r**3*u + 30*r**2 + 24*u
Find the first derivative of 3*o*z**2 + 13703*o*z - 347332*o - 20*z**2 - 1 wrt z.
6*o*z + 13703*o - 40*z
What is the first derivative of 22535*d*s + 3*d + 7933*s + 8 wrt d?
22535*s + 3
Find the third derivative of 217479*a**4*y**3 + 5*a**2*y - 453*a**2 + 2*a*y**3 - 6*y**2 wrt a.
5219496*a*y**3
Differentiate 4*c*l + 3230284*c + 236420*l with respect to l.
4*c + 236420
What is the third derivative of 1893198*t**3*x**2*z**2 + 8*t**2*z + 2*t*x**2*z**2 - 1001*z**2 wrt t?
11359188*x**2*z**2
What is the first derivative of -102*j**3*n*v**3 + 239*j**3*v**3 - 6*j**3*v + 4*j**3 - j**2*v**3 - 31*n*v**3 wrt n?
-102*j**3*v**3 - 31*v**3
What is the derivative of -51462*j*s + 9646*j + 75 wrt s?
-51462*j
What is the third derivative of -11*x*y**5 + 25*x*y**2 + 118*y**5 - 30*y wrt y?
-660*x*y**2 + 7080*y**2
What is the derivative of -2*x**3 + 7572*x + 45969 wrt x?
-6*x**2 + 7572
What is the derivative of 3*b*d**2 - 11*b*d - 13138*b - 3180*d**2 + 95 wrt b?
3*d**2 - 11*d - 13138
Find the third derivative of -8*g**5 + 842*g**3 + 4425*g**2 - 2.
-480*g**2 + 5052
Find the first derivative of 1176*i**2*x + 21566*i**2 - 3*x wrt x.
1176*i**2 - 3
What is the third derivative of -9365*k*l**3*m - 4*k*l*m - 286*k*m - 13*l**3*m + l**2*m + l**2 + 4*l*m wrt l?
-56190*k*m - 78*m
Find the second derivative of -79*s**3 + 441*s**2 + 136836*s wrt s.
-474*s + 882
What is the second derivative of -52*a*s**2 + 907*a - 66*s**2 - 31*s wrt s?
-104*a - 132
Find the third derivative of -928810*g*j**3*n**3 + 3*g*j**3 - 82452*g*j**2*n**3 - 20*g*j*n**3 wrt j.
-5572860*g*n**3 + 18*g
Find the third derivative of 100768*c**3 + 86039*c**2 wrt c.
604608
What is the third derivative of -2566*o**4*p + o**4 + 17*o**3 - 6*o**2*p + 21378 wrt o?
-61584*o*p + 24*o + 102
What is the third derivative of -20529*f**3 - 25959*f**2?
-123174
What is the first derivative of 1210752*k - 1030461?
1210752
Find the first derivative of 362119*d + 1107235.
362119
Find the second derivative of -13445*x**4 + 109*x**2 + 4355861*x wrt x.
-161340*x**2 + 218
What is the first derivative of -1719840*s**2 - 385384 wrt s?
-3439680*s
What is the third derivative of -43061*i*m**4 + 2*i*m**2*s + i*s**3 + 2*i*s**2 + 424*i - 7*m**3*s**3 - 48*m**2*s**3 + 2*s**3 wrt m?
-1033464*i*m - 42*s**3
Differentiate 6*i**2*v**2 + 3035*i**2*v + 66480*i**2 wrt v.
12*i**2*v + 3035*i**2
What is the second derivative of -3*w**5 + 28834*w**2 + 73*w - 586?
-60*w**3 + 57668
Differentiate 2*m**2*v**3 + 4*m**2 - 803*m + 57642*v**3 wrt v.
6*m**2*v**2 + 172926*v**2
What is the derivative of -1241782*z + 2297904 wrt z?
-1241782
Differentiate -2323*h*p - 13*h - 731*k*p + 98904*k wrt p.
-2323*h - 731*k
What is the first derivative of 2*q**3*s + 433061*q**3 + 153122*q**2*s + 2*s wrt s?
2*q**3 + 153122*q**2 + 2
What is the third derivative of -4429*f**4 - 396*f**2 - 3*f + 4 wrt f?
-106296*f
What is the second derivative of -76393*a**2*b - 10*a*b - 243*a + 1 wrt a?
-152786*b
What is the first derivative of 83258*k + 71985?
83258
Find the third derivative of -562537*h**3 - 39932*h**2 - 2*h wrt h.
-3375222
Find the third derivative of 2*v**3*w**2 + 2*v**3*w - 48*v**3 + 2*v**2*w - 81*v**2 - v*w + w**2 + 29 wrt v.
12*w**2 + 12*w - 288
What is the first derivative of -3*i**3 + 29751*i**2 + i + 120736 wrt i?
-9*i**2 + 59502*i + 1
Find the first derivative of 2754*g**2 + 22994 wrt g.
5508*g
What is the second derivative of -d**2*i**2 - 8*d**2*i - 2*d**2 + d*i - 300*d - 19487*i**2 wrt i?
-2*d**2 - 38974
What is the second derivative of 1286268*z**5 + 38026*z - 19?
25725360*z**3
What is the third derivative of 10674*g**4 - 35*g**3 - 254854*g**2 wrt g?
256176*g - 210
Find the second derivative of -21*d*k**5 - 350*d*k**2 - 7*d + 4*k**3 - 865*k - 3 wrt k.
-420*d*k**3 - 700*d + 24*k
Find the second derivati
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when 62 is divided by 17?
11
What is the remainder when 271 is divided by 30?
1
What is the remainder when 77 is divided by 76?
1
What is the remainder when 54 is divided by 27?
0
Calculate the remainder when 411 is divided by 81.
6
Calculate the remainder when 845 is divided by 77.
75
What is the remainder when 13447 is divided by 57?
52
Calculate the remainder when 111 is divided by 29.
24
Calculate the remainder when 56 is divided by 24.
8
Calculate the remainder when 175 is divided by 66.
43
What is the remainder when 6577 is divided by 235?
232
Calculate the remainder when 263 is divided by 22.
21
Calculate the remainder when 789 is divided by 22.
19
What is the remainder when 1371 is divided by 26?
19
What is the remainder when 631 is divided by 591?
40
Calculate the remainder when 1003 is divided by 127.
114
What is the remainder when 1126 is divided by 169?
112
What is the remainder when 99 is divided by 56?
43
Calculate the remainder when 334 is divided by 38.
30
What is the remainder when 110 is divided by 51?
8
Calculate the remainder when 1131 is divided by 233.
199
What is the remainder when 96 is divided by 57?
39
Calculate the remainder when 155 is divided by 10.
5
Calculate the remainder when 166 is divided by 7.
5
Calculate the remainder when 153 is divided by 36.
9
Calculate the remainder when 1867 is divided by 240.
187
Calculate the remainder when 1341 is divided by 112.
109
What is the remainder when 13 is divided by 4?
1
Calculate the remainder when 94 is divided by 74.
20
What is the remainder when 1727 is divided by 9?
8
Calculate the remainder when 1308 is divided by 73.
67
What is the remainder when 71 is divided by 37?
34
Calculate the remainder when 41 is divided by 6.
5
What is the remainder when 198 is divided by 103?
95
Calculate the remainder when 168 is divided by 104.
64
Calculate the remainder when 71 is divided by 52.
19
What is the remainder when 220 is divided by 58?
46
Calculate the remainder when 104 is divided by 30.
14
Calculate the remainder when 75 is divided by 21.
12
Calculate the remainder when 1085 is divided by 16.
13
Calculate the remainder when 951 is divided by 17.
16
Calculate the remainder when 1749 is divided by 429.
33
What is the remainder when 83 is divided by 5?
3
What is the remainder when 4315 is divided by 149?
143
Calculate the remainder when 1005 is divided by 101.
96
What is the remainder when 2306 is divided by 68?
62
What is the remainder when 3036 is divided by 7?
5
What is the remainder when 1325 is divided by 83?
80
What is the remainder when 5922 is divided by 220?
202
Calculate the remainder when 54 is divided by 2.
0
What is the remainder when 776 is divided by 28?
20
What is the remainder when 756 is divided by 69?
66
Calculate the remainder when 142 is divided by 13.
12
What is the remainder when 300 is divided by 21?
6
Calculate the remainder when 94 is divided by 78.
16
Calculate the remainder when 421 is divided by 85.
81
What is the remainder when 5529 is divided by 14?
13
Calculate the remainder when 168 is divided by 27.
6
Calculate the remainder when 667 is divided by 332.
3
Calculate the remainder when 118 is divided by 8.
6
What is the remainder when 193 is divided by 83?
27
What is the remainder when 583 is divided by 78?
37
What is the remainder when 4401 is divided by 12?
9
What is the remainder when 364 is divided by 357?
7
Calculate the remainder when 5793 is divided by 28.
25
Calculate the remainder when 1606 is divided by 27.
13
Calculate the remainder when 388 is divided by 107.
67
Calculate the remainder when 170 is divided by 57.
56
What is the remainder when 610 is divided by 36?
34
Calculate the remainder when 136 is divided by 26.
6
What is the remainder when 643 is divided by 19?
16
What is the remainder when 399 is divided by 16?
15
What is the remainder when 50 is divided by 27?
23
What is the remainder when 181 is divided by 24?
13
What is the remainder when 1238 is divided by 72?
14
What is the remainder when 3020 is divided by 55?
50
Calculate the remainder when 2487 is divided by 15.
12
What is the remainder when 187 is divided by 19?
16
What is the remainder when 49 is divided by 15?
4
Calculate the remainder when 964 is divided by 13.
2
Calculate the remainder when 305 is divided by 62.
57
What is the remainder when 885 is divided by 175?
10
Calculate the remainder when 88 is divided by 51.
37
What is the remainder when 429 is divided by 160?
109
What is the remainder when 719 is divided by 8?
7
Calculate the remainder when 31 is divided by 16.
15
What is the remainder when 395 is divided by 71?
40
Calculate the remainder when 44035 is divided by 27.
25
Calculate the remainder when 250 is divided by 37.
28
Calculate the remainder when 410 is divided by 111.
77
What is the remainder when 2616 is divided by 100?
16
What is the remainder when 160 is divided by 83?
77
Calculate the remainder when 415 is divided by 47.
39
What is the remainder when 319 is divided by 13?
7
Calculate the remainder when 428 is divided by 39.
38
What is the remainder when 1722 is divided by 133?
126
What is the remainder when 428 is divided by 13?
12
Calculate the remainder when 876 is divided by 149.
131
What is the remainder when 1034 is divided by 32?
10
What is the remainder when 268 is divided by 32?
12
Calculate the remainder when 9127 is divided by 12.
7
Calculate the remainder when 103 is divided by 51.
1
What is the remainder when 845 is divided by 37?
31
Calculate the remainder when 171 is divided by 87.
84
Calculate the remainder when 1664 is divided by 14.
12
Calculate the remainder when 548 is divided by 145.
113
What is the remainder when 7213 is divided by 13?
11
Calculate the remainder when 208 is divided by 7.
5
Calculate the remainder when 276 is divided by 57.
48
Calculate the remainder when 748 is divided by 241.
25
What is the remainder when 858 is divided by 21?
18
Calculate the remainder when 50 is divided by 23.
4
What is the remainder when 57 is divided by 24?
9
What is the remainder when 70 is divided by 27?
16
What is the remainder when 859 is divided by 58?
47
What is the remainder when 6753 is divided by 49?
40
Calculate the remainder when 1145 is divided by 29.
14
What is the remainder when 792 is divided by 176?
88
What is the remainder when 1204 is divided by 13?
8
What is the remainder when 141 is divided by 14?
1
What is the remainder when 54 is divided by 7?
5
What is the remainder when 2668 is divided by 81?
76
Calculate the remainder when 343 is divided by 13.
5
What is the remainder when 1384 is divided by 457?
13
Calculate the remainder when 8399 is divided by 140.
139
What is the remainder when 693 is divided by 265?
163
Calculate the remainder when 837 is divided by 305.
227
Calculate the remainder when 348 is divided by 4.
0
What is the remainder when 125 is divided by 21?
20
What is the remainder when 679 is divided by 49?
42
Calculate the remainder when 161 is divided by 33.
29
Calculate the remainder when 125 is divided by 9.
8
Calculate the remainder when 75 is divided by 39.
36
What is the remainder when 133 is divided by 4?
1
Calculate the remainder when 110 is divided by 9.
2
Calculate the remainder when 949 is divided by 158.
1
What is the remainder when 286 is divided by 9?
7
What is the remainder when 86 is divided by 34?
18
Calculate the remainder when 148 is divided by 15.
13
What is the remainder when 260 is divided by 22?
18
Calculate the remainder when 78 is divided by 23.
9
What is the remainder when 475 is divided by 56?
27
What is the remainder when 167 is divided by 55?
2
What is the remainder when 1423 is divided by 145?
118
Calculate the remainder when 406 is divided by 136.
134
What is the remainder when 86 is divided by 28?
2
What is the remainder when 1657 is divided by 237?
235
Calculate the remainder when 288 is divided by 60.
48
What is the remainder when 2046 is divided by 16?
14
What is the remainder when 1184 is divided by 25?
9
What is the remainder when 99 is divided by 26?
21
Calculate the remainder when 691 is divided by 164.
35
What is the remainder when 345 is divided by 90?
75
Calculate the remainder when 2442 is divided by 7.
6
What is the remainder when 531 is divide
|
{
"pile_set_name": "DM Mathematics"
}
|
ller than a?
True
Let g be 27/(-21) + (-2)/(-7). Let d be 3 + (-3 - g/(-1)). Is d > 0.2?
False
Let c = 1.3 + -0.2. Let u = 0.7 - c. Which is smaller: -0.1 or u?
u
Let u = 1 - 1. Suppose u = d + 2*g - 7, -1 = 2*d - 2*g - 3. Suppose 1 = d*a - 17. Is 4 != a?
True
Let g = -32 + 46. Which is smaller: g or 15?
g
Suppose 8*h - g = 3*h + 11, 3*h - 2*g = 8. Suppose h*b = 5*b - 81. Let a be b/21 - (-2)/(-7). Which is smaller: a or 2/5?
2/5
Let m be (4 + 3)/((-4)/14). Let z = -24 - m. Which is bigger: z or -5?
z
Let d(m) = 18*m**2 + m. Let g be d(1). Let j = 22 - g. Is j less than or equal to 2?
False
Let d be 3*1*2/3. Suppose 0 = -2*y - d. Which is bigger: y or 1/5?
1/5
Suppose -5 = 5*c + 50. Which is smaller: -9 or c?
c
Let s = 8 - 14. Let o = 0 + -7. Let c = s - o. Are 1 and c unequal?
False
Suppose 3*v + 16 + 5 = -3*o, -4*v - 3*o = 23. Suppose -2*f + 4*f - 8 = 0. Let j be (v/(-10))/(f/(-10)). Which is smaller: j or 0?
j
Let n = 0.15 + 12.85. Is n >= -2?
True
Let x = -37/2 - -34. Let h = 15 - x. Suppose 4*p = 4 - 8. Which is smaller: p or h?
p
Let b(c) = -2*c - 15. Let n(r) = 8*r + 8. Let y(s) = 7*s + 8. Let k(o) = 6*n(o) - 7*y(o). Let p(j) = 3*b(j) - 5*k(j). Let a be p(-5). Is 0 <= a?
True
Suppose 4*s - 72 + 8 = 0. Suppose 4*q + 2*n = 6, 4*q - 5*q - s = 4*n. Suppose q*i - 3*g - 22 = 0, -5*i + g + 31 = -g. Which is smaller: 8 or i?
i
Let o(f) = f + 5. Let b be o(-3). Let p be (-6)/(-3) - (-6 + b). Is p bigger than 6?
False
Suppose 1 - 21 = -2*u. Is u >= 5?
True
Let o = 43 - 37. Suppose -4*p + 12 = -12. Is o <= p?
True
Let f(x) = -x**3 + 13*x**2 - 13*x + 5. Let t be f(12). Let z = t + 6. Which is greater: z or -1/4?
-1/4
Let s be 1/(1/(-5)*-1). Let p = -310/3 - -103. Do s and p have the same value?
False
Let a(v) = -3*v**3 - 3*v**2 - v - 1. Let z be a(-2). Suppose -2 = -5*u + 4*x + z, -6 = -4*u + 2*x. Which is bigger: 1/5 or u?
1/5
Let t be -3*4/48 + 1. Which is smaller: -0.6 or t?
-0.6
Let o = -0.5 - -0.9. Let r = 0.1 + o. Let a = r + -0.3. Are a and -1/3 nonequal?
True
Suppose 16 + 110 = -21*x. Is -14 at least x?
False
Let h be ((-12)/30)/(38/(-59740)). Let r = h - 629. Do r and -1 have the same value?
False
Let c be 141/27 - (-2)/(-9). Let y = c - 8. Are -2 and y unequal?
True
Suppose 4*u = 5*u - 4. Are u and 2 non-equal?
True
Let y be (-1)/(-1)*1/1. Let j = 39 - 26. Let c = -12 + j. Is c bigger than y?
False
Let m(l) = l + 1. Let s be m(3). Suppose 0 = 4*y - 0 - s. Is y greater than -2?
True
Let f = -43 - -25. Let z = f + 17.9. Does z = -3?
False
Let h be (-19)/(-91) - 4/14. Suppose 20 = -4*a + 8*a. Suppose -4*w + 3 = -2*w + p, 5*p = a*w + 15. Which is greater: w or h?
w
Suppose q = 1 + 1. Let n be ((-1)/q)/(2/4). Which is smaller: n or -1/2?
n
Let o be (-10)/(-2)*(-18)/15. Let m = 9 + o. Which is greater: m or 2?
m
Let i = 0 - -3. Suppose -i*l = -l. Which is bigger: -1 or l?
l
Let c = 67/3 + -23. Suppose -4 - 2 = -3*u. Suppose 0 = 5*f - u*f + 3. Is f greater than or equal to c?
False
Let m = -5 + 8. Let f = 3 - m. Let s = -0.15 - -0.25. Which is bigger: s or f?
s
Let s be (-54*(-1 - -2))/(-2 + -5). Is s not equal to 9?
True
Let o = -0.05 - 2.95. Let k = 3.1 + o. Which is smaller: k or 0.2?
k
Let i(y) = 2*y**3 - y**2 + 1. Let c be i(-1). Let m be -2 + 3 - (-1 - c). Which is bigger: 2/3 or m?
2/3
Suppose -4*w + 5*q = -9 - 3, -2*q = 8. Which is greater: -5 or w?
w
Let i = -309 - -5251/17. Let w(h) = -h + 3. Let m be w(6). Let f be ((-2)/3)/((-2)/m). Which is smaller: i or f?
f
Suppose 4*w - 42 + 2 = 0. Let g be (w + -1*2)*-1. Let f(s) = s**2 + 8*s + 2. Let t be f(g). Is t < 1?
False
Let t be (-4)/12 + (-33)/27. Are t and -2 nonequal?
True
Let s be (-3 + 4)*(0 + 1). Let b = -8 + 13. Let l = 3 - b. Is s greater than or equal to l?
True
Let w = 37 + -60. Let c = -22 - w. Is c bigger than 2/7?
True
Let q(f) = f + 23. Let d be q(-19). Which is smaller: d or -1/6?
-1/6
Suppose -5*t = u - 11, 4*u - 22 = -2*t + 4*t. Let v = -8 + u. Is -8/7 equal to v?
False
Let t be (3 - (3 - 1)) + -1. Let p be 2 + 0 - (-12)/3. Let h = p - 55/9. Are t and h equal?
False
Let z = -1 + 3. Suppose 5*g = g + 12. Suppose 0 = -q + g. Which is bigger: z or q?
q
Let n = -102 - -85. Which is smaller: -2/13 or n?
n
Let y = 78 - 81.9. Let z = -4 - y. Let b = 2 + 0. Which is smaller: z or b?
z
Suppose b + 2*h = 2*b - 6, 0 = -4*b - 5*h - 2. Let k be (-4 + 10)*b/4. Suppose 2*g = 10, 32 = 4*f - 0*f + 4*g. Is k <= f?
True
Let t = -1 - -8. Let p be 4/14 - 80/(-14). Does p = t?
False
Let n be 6/(-15) + (-20)/75. Is n less than -0.45?
True
Suppose 3*d - 396 - 57 = -5*l, 4*d - 4 = 0. Let v be 2 + 1 + l/(-42). Which is smaller: 0 or v?
0
Suppose -5*t + 2*t + k = 1, -t - 5*k = 27. Let d be 4*t/(-8)*-5. Suppose 4*w = -o + 9*w, 0 = -5*o - 4*w - 29. Is o at most as big as d?
True
Let j = -106 + 319/3. Is j at least 18/11?
False
Let k = 0 + 4. Let l = 29.2 - 33. Let n = k + l. Which is smaller: 1/2 or n?
n
Let r = 16 - 14. Suppose -r*f + 4 = -6*f. Is f greater than -1?
False
Suppose -20 = -4*o + 8*o. Let d = 11 + o. Is 6 smaller than d?
False
Suppose 0 = 5*h - 24 - 1. Suppose -2*k + h*y - 8 = 3, 0 = -4*k - 2*y - 10. Which is smaller: -4 or k?
-4
Let d(q) = q**3 + 3*q**2 + q. Suppose -f + 3*b = 6, 0 = b - 3 + 2. Let w be d(f). Suppose -8*y + 3*y = 10. Which is smaller: w or y?
w
Let i(r) = -r**2 + 13*r + 8. Let k be i(12). Suppose o - 6*o = -5*x + 20, -4*x + k = 0. Is o < 2?
True
Suppose r - 6*r = 0. Let l be ((-65)/2)/((-4)/8). Let o = -193/3 + l. Does r = o?
False
Let w be 5/10*8/(-82). Is w smaller than 1?
True
Let f(w) = 2*w + w**2 - w**2 - w**2 + 0*w**2. Let l be f(2). Is l smaller than 2/13?
True
Let q be 0/(-2)*(5 - 4). Is q less than -13/12?
False
Let c(o) = -4*o - 6. Let p be c(-4). Is 35/4 less than p?
True
Let d(i) = -i + 1. Suppose -5*w = -5, 2*b - 5*w + 2 = 5*b. Let p be d(b). Suppose x - 5*j = 27, -x + 2*x = -3*j - 13. Do x and p have the same value?
True
Let a = 9 - 35. Which is bigger: a or -25?
-25
Let x be (-8)/4 + (1 - -3). Which is bigger: 3/4 or x?
x
Let d = 0.48 + -1.14. Which is smaller: 0 or d?
d
Let w(m) = -4*m**2 + 1. Let r be w(1). Which is smaller: r or 5?
r
Let o = -0.973 - 0.027. Is o bigger than -4/23?
False
Let h = -43 - -26. Let l = -18 - h. Is l equal to 2/7?
False
Suppose -2*r - r + 101 = -4*o, 2*r - 2*o = 70. Let q = 27 - r. Let p = q - -35/3. Which is smaller: -1 or p?
-1
Suppose 2*g = -13*g - 720. Are -46 and g non-equal?
True
Let n = -3 + 4. Let d be n/3 - (-14)/21. Which is smaller: 2 or d?
d
Let v be (635/(-215) + 3)/(-1 - -3). Which is smaller: v or 0?
0
Let n = 63 - 63. Is -15/16 > n?
False
Suppose 4*s + 5*i - i - 8 = 0, -4*s - 37 = -5*i. Suppose -2*h + 4*h = 4. Let k(c) = -2*c + 2. Let t be k(h). Which is greater: t or s?
t
Let s be (78/5)/((-6)/30). Let b be s/(-90) - (3 + -2). Which is greater: b or 0?
0
Let t(r) = r**2 - 5*r + 1. Let z be t(4). Let x(y) = y**2 + 13*y - 16. Let p be x(-14). Are p and z nonequal?
True
Let u(j) = -j**3 + 1. Let c = -2 - -3. Let d be u(c). Let x be 0 - (8/6 + -1). Which is greater: d or x?
d
Let y be ((-1)/(-6))/(1/3). Let t be (2/(-4) - 1)*-2. Let v be (2 - 4)/(1*t). Does y = v?
False
Let s = 0.12 + 1.48. Is 2 greater than or equal to s?
True
Suppose -2*d + 6 = -4. Suppose -3 + 8 = d*k. Let w = k - 2. Which is smaller: w or 0?
w
Let g = 5.696 - -0.004. Let o = g + -0.7. Which is greater: -0.1 or o?
o
Let l = 1897/60 + -95/3. Let y be (-2)/(-2)*(3 + (-4 - 0)). Which is bigger: l or y?
l
Let s(j) = j**2 + 16*j - 4. Let f be s(-14). Let o be (f*1/(-2))/2. Is o greater than 7?
True
Let g be 2*2/(-4) - 5. Let p(v) be the third derivative of -v**6/120 - 7*v**5/60 - v**4/4 - v**2. Let s be p(g). Is 4/3 less than or equal to s?
False
Let a = -1 + 2. Let j = a + 8. Let n be (2 + j/(-6))*-2. Is 0 > n?
True
Let s = 35 - 34. Are s and -1/64 non-equal?
True
Let q be 5/7 + (0 - 1). Let l = 8 + -6. Let x = 2.1 - l. Do x and q have the same value?
False
Suppose -4*w + 7*i + 40 = 2*i, -3*w + 30 = 2*i. Suppose -f = 4*f - w. Is 1 > f?
False
Let j = -208 - -208.2. Let s = -4.1 - -1. Let u = 3 + s. Is j not equal to u?
True
Let g = 0.14 + -0.24. Let b = -0.1 - -0.1. Is b greater than g?
True
Let w = -22 + 20. Which is bigger: -2/3 or w?
-2/3
Let m = -5/8 - -51/56. Which is bigger: -2 or m?
m
Let f = 6 - 6. Suppose 0 = -2*b - 4*o + 2, -b + 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
e prob of picking 1 e, 1 t, and 2 y when four letters picked without replacement from nyuyennnenyneet.
4/455
Three letters picked without replacement from wawdkkkmk. Give prob of picking 1 a, 1 m, and 1 w.
1/42
What is prob of picking 1 c, 1 o, and 1 u when three letters picked without replacement from {h: 2, u: 3, c: 1, o: 4, j: 1}?
4/55
Four letters picked without replacement from {d: 5, j: 2, s: 3}. Give prob of picking 1 s, 2 j, and 1 d.
1/14
Four letters picked without replacement from {a: 3, h: 2, v: 3, m: 6, f: 3}. What is prob of picking 1 f, 2 v, and 1 m?
27/1190
Two letters picked without replacement from fcfglgchffhcffflf. Give prob of picking 1 g and 1 c.
3/68
Two letters picked without replacement from {m: 2, z: 11, p: 1, f: 1, y: 4, e: 1}. Give prob of picking 1 f and 1 m.
1/95
Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {u: 3, w: 1, q: 5, k: 1}.
1/15
Calculate prob of picking 1 z and 2 s when three letters picked without replacement from ssasssazaaass.
21/286
Four letters picked without replacement from {y: 9}. What is prob of picking 4 y?
1
What is prob of picking 1 f and 2 r when three letters picked without replacement from {r: 3, f: 1, l: 4}?
3/56
Calculate prob of picking 1 o and 1 q when two letters picked without replacement from oqkaqaaia.
1/18
What is prob of picking 3 d and 1 z when four letters picked without replacement from dmgddddddddpzmzd?
12/91
Two letters picked without replacement from njjnjjjnjjj. What is prob of picking 2 j?
28/55
Three letters picked without replacement from txyyytyyffyxyyx. What is prob of picking 1 x, 1 t, and 1 y?
48/455
Calculate prob of picking 1 y, 1 s, and 1 p when three letters picked without replacement from utythps.
1/35
Three letters picked without replacement from {s: 5, p: 1, w: 5}. What is prob of picking 1 w, 1 p, and 1 s?
5/33
Two letters picked without replacement from {w: 5, p: 2, s: 5, a: 1, u: 2, i: 1}. What is prob of picking 1 a and 1 u?
1/60
Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {y: 1, z: 1, q: 1, v: 1, d: 1}.
1/10
Three letters picked without replacement from {k: 7}. Give prob of picking 3 k.
1
Four letters picked without replacement from lhuuryllrr. What is prob of picking 1 r, 1 l, 1 u, and 1 y?
3/35
Three letters picked without replacement from {d: 1, z: 2, c: 7, l: 6, g: 2}. Give prob of picking 2 c and 1 g.
7/136
Two letters picked without replacement from laccdbqlabbqlc. What is prob of picking 1 c and 1 a?
6/91
Calculate prob of picking 3 b when three letters picked without replacement from bbccccccccbcccbcbccr.
1/114
Four letters picked without replacement from {l: 2, z: 1, y: 6, k: 1, j: 3}. Give prob of picking 1 j, 1 z, 1 k, and 1 y.
18/715
Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {k: 2, o: 10}.
10/33
Calculate prob of picking 3 o and 1 w when four letters picked without replacement from ronnwoo.
1/35
What is prob of picking 1 b and 1 g when two letters picked without replacement from {g: 1, s: 5, a: 2, p: 4, b: 2, c: 1}?
2/105
Three letters picked without replacement from {k: 9, z: 10}. Give prob of picking 1 k and 2 z.
135/323
Four letters picked without replacement from {p: 2, t: 1, u: 1, m: 1, h: 1, v: 1}. What is prob of picking 1 h, 2 p, and 1 v?
1/35
Two letters picked without replacement from {k: 1, s: 2, t: 7, p: 1, o: 1, x: 8}. Give prob of picking 1 t and 1 x.
28/95
Two letters picked without replacement from ppxqhxxhghxhxhxxh. Give prob of picking 1 x and 1 p.
7/68
Two letters picked without replacement from uuuuuuuuuuruuuuuuuu. What is prob of picking 1 r and 1 u?
2/19
Two letters picked without replacement from {t: 4, v: 1, n: 4, s: 1}. What is prob of picking 2 t?
2/15
What is prob of picking 2 u and 2 d when four letters picked without replacement from {x: 3, e: 1, u: 5, w: 2, g: 1, d: 1}?
0
Two letters picked without replacement from {f: 1, h: 2, c: 2, b: 1, d: 1}. What is prob of picking 1 d and 1 b?
1/21
Calculate prob of picking 2 r and 2 o when four letters picked without replacement from dooodrrdror.
6/55
Two letters picked without replacement from akfkaky. What is prob of picking 1 y and 1 k?
1/7
Four letters picked without replacement from ofkfffxkf. Give prob of picking 1 o, 1 k, 1 x, and 1 f.
5/63
Four letters picked without replacement from yyuysdyyysssysyksyky. What is prob of picking 3 y and 1 s?
48/323
Two letters picked without replacement from {d: 3, j: 4, u: 2, a: 6, q: 3, v: 1}. What is prob of picking 1 d and 1 v?
1/57
Calculate prob of picking 2 t when two letters picked without replacement from ggtthtkkgkgtgttk.
1/8
Three letters picked without replacement from tjjtap. What is prob of picking 1 a and 2 j?
1/20
Two letters picked without replacement from zxxllxxxl. What is prob of picking 1 z and 1 l?
1/12
Three letters picked without replacement from wwvwvkkkkkwvk. What is prob of picking 1 w and 2 k?
30/143
Three letters picked without replacement from {l: 5, e: 5, p: 2}. What is prob of picking 3 l?
1/22
Three letters picked without replacement from {c: 7, d: 1, e: 5}. Give prob of picking 1 d and 2 e.
5/143
What is prob of picking 1 x, 1 w, and 1 u when three letters picked without replacement from {u: 1, w: 1, x: 2}?
1/2
Two letters picked without replacement from nsnwlssssnsscl. Give prob of picking 2 s.
3/13
What is prob of picking 2 p when two letters picked without replacement from plppoppxoglxggllp?
15/136
Four letters picked without replacement from {p: 3, s: 4, e: 3, y: 4, m: 2}. Give prob of picking 1 p, 1 m, and 2 s.
9/455
Calculate prob of picking 2 d when two letters picked without replacement from {x: 2, d: 2, i: 2}.
1/15
Calculate prob of picking 1 v and 3 z when four letters picked without replacement from {v: 5, c: 2, z: 8}.
8/39
Two letters picked without replacement from {d: 5, f: 5}. Give prob of picking 1 d and 1 f.
5/9
Calculate prob of picking 1 b, 1 r, and 1 x when three letters picked without replacement from ssbbsxoxrsxsxxrxbr.
9/136
What is prob of picking 3 c and 1 z when four letters picked without replacement from {c: 5, z: 2, e: 4}?
2/33
Two letters picked without replacement from {h: 4, e: 2, o: 2, f: 4}. Give prob of picking 1 o and 1 f.
4/33
Two letters picked without replacement from jjjfjjjfffjjfjww. What is prob of picking 2 w?
1/120
Four letters picked without replacement from {g: 7, o: 1, s: 4, c: 2, z: 6}. What is prob of picking 1 c, 1 s, 1 o, and 1 g?
56/4845
Four letters picked without replacement from ciyzqzyydqydyiiyiizi. What is prob of picking 4 i?
1/323
Four letters picked without replacement from {h: 1, n: 3, u: 2, a: 3, g: 1}. Give prob of picking 1 a, 1 n, 1 g, and 1 h.
3/70
Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, p: 11}.
1/78
Calculate prob of picking 1 s and 2 d when three letters picked without replacement from {s: 5, l: 2, d: 4}.
2/11
Calculate prob of picking 1 k, 1 d, and 2 z when four letters picked without replacement from bddkzdjd.
0
Two letters picked without replacement from {v: 5, c: 1, d: 1, j: 5, z: 5}. What is prob of picking 2 z?
5/68
Three letters picked without replacement from {e: 2, m: 1, i: 9, x: 1}. Give prob of picking 2 e and 1 i.
9/286
Three letters picked without replacement from {j: 4, d: 2, r: 1, q: 4, c: 2, z: 1}. Give prob of picking 1 r and 2 d.
1/364
What is prob of picking 1 q and 1 t when two letters picked without replacement from lyqtyyytktyyk?
1/26
Two letters picked without replacement from qqctzdzqdqdctqdqqz. Give prob of picking 2 c.
1/153
What is prob of picking 1 e and 3 k when four letters picked without replacement from kwkke?
1/5
Calculate prob of picking 1 d, 2 u, and 1 c when four letters picked without replacement from uwcwwdudwecd.
2/165
What is prob of picking 1 r and 1 f when two letters picked without replacement from skfwrmk?
1/21
Three letters picked without replacement from {c: 1, j: 5, t: 3, h: 7}. What is prob of picking 1 c and 2 h?
3/80
Four letters picked without replacement from {x: 1, q: 1, s: 1, h: 2, a: 2, o: 1}. What is prob of picking 1 o, 1 q, 1 s, and 1 a?
1/35
Three letters picked without replacement from pbllpbplbb
|
{
"pile_set_name": "DM Mathematics"
}
|
Let v(m) = -9*m**2 + 812*m + 2320. What is v(93)?
-5
Let v(c) = -13748*c + 1388600. Give v(101).
52
Let t(c) = 1783*c + 12486. Give t(-7).
5
Let t(p) = p**2 - 2215*p - 183609. Determine t(-80).
-9
Let k(w) = 55*w**2 - 713*w - 4058. What is k(-6)?
2200
Let m(c) = c**3 - 93*c**2 + 572*c + 180. Give m(7).
-30
Let q(y) = -27*y + 1039. Calculate q(34).
121
Let o(k) = -1057409*k + 6344501. What is o(6)?
47
Let l(j) = 218480*j - 1529352. Calculate l(7).
8
Let z(s) = 1722*s + 8928. Determine z(-5).
318
Let w(k) = 9*k**2 - 2183*k + 1237. What is w(242)?
27
Let y(h) = 2*h**2 + 646*h - 145642. Calculate y(-476).
14
Let s(w) = 79*w**3 - 66113*w**2 - 8368*w - 1669. Give s(837).
5
Let t(l) = 391*l**2 + 18*l - 13. What is t(2)?
1587
Let r(f) = -45898*f + 275500. What is r(6)?
112
Let x(k) = -k**3 + 35*k**2 + 107*k - 138. Determine x(39).
-2049
Let o(m) = -4*m**2 + 217*m - 1890. Calculate o(40).
390
Let z(d) = -683*d**2 - 57*d - 11. Determine z(1).
-751
Let p(g) = 2*g**2 + 87611*g + 19611229. Determine p(-225).
4
Let l(b) = 51*b - 177. Calculate l(5).
78
Let g(d) = 8*d**2 - 7855*d - 327007. Give g(-40).
-7
Let a(q) = 610192*q + 23797474. What is a(-39)?
-14
Let y(j) = 26*j**3 + 572*j**2 + 20*j + 454. Calculate y(-22).
14
Let s(o) = o**3 - 47*o**2 - 824*o + 2612. Calculate s(60).
-28
Let p(k) = -7930*k + 6677. Determine p(2).
-9183
Let f(o) = -o**3 - 9*o**2 - 38*o + 490. Give f(11).
-2348
Let q(i) = -i**3 - 741*i**2 + 10576*i - 66. Give q(14).
18
Let s(p) = 94*p**2 - 15*p + 140. Calculate s(5).
2415
Let n(o) = -474*o - 699. What is n(0)?
-699
Let z(g) = -213*g - 27511. Determine z(-140).
2309
Let n(q) = -q**2 + 64*q - 1136. Give n(46).
-308
Let q(a) = 17677*a + 88384. What is q(-5)?
-1
Let h(y) = -14*y**3 - 447*y**2 + 44*y + 524. Give h(-32).
140
Let r(x) = 10500*x - 892501. Calculate r(85).
-1
Let d(l) = 212*l + 18441. What is d(-84)?
633
Let j(p) = -21*p**3 - 274*p**2 + 4217*p - 446. Determine j(9).
4
Let f(u) = -3*u**2 + 270*u + 8818. Calculate f(-35).
-4307
Let r(c) = 1081382*c + 4325528. Determine r(-4).
0
Let b(w) = 3028*w + 12216. What is b(-4)?
104
Let t(u) = -2*u**3 - 28*u**2 + 77*u + 40. Calculate t(5).
-525
Let g(d) = -72*d**2 - 462*d - 25. Determine g(-6).
155
Let g(n) = -189*n**2 + 5862*n - 48. What is g(31)?
45
Let t(m) = -616*m**2 - 3148*m - 319. Give t(-5).
21
Let i(s) = 20*s**3 - 377*s**2 - 48*s - 239. Calculate i(19).
-68
Let r(y) = -15669*y - 2601057. Calculate r(-166).
-3
Let a(o) = 28*o**2 - 236*o + 205. Calculate a(1).
-3
Let z(g) = -3*g**3 + 15*g**2 + 114*g - 182. What is z(-5)?
-2
Let z(n) = -14*n**2 - 233*n + 535. Calculate z(2).
13
Let n(h) = h**2 + 283*h - 2044. Calculate n(-290).
-14
Let s(c) = c**2 - 136*c + 873. Determine s(115).
-1542
Let y(p) = -137*p + 13928. Give y(102).
-46
Let x(a) = -8*a**2 - 858*a - 21890. What is x(-42)?
34
Let s(w) = 142636*w - 713182. What is s(5)?
-2
Let k(z) = 5*z**2 + 1031*z - 2935. Determine k(-209).
-9
Let a(u) = 197*u**2 + 3701*u + 11102. Determine a(-3).
1772
Let u(x) = -58*x**2 + 1284*x - 308. What is u(22)?
-132
Let b(u) = -12*u**2 + 2425*u + 2239. Calculate b(203).
6
Let g(x) = 2*x**3 + 140*x**2 + 2498*x + 1965. Determine g(-37).
-107
Let t(n) = -7*n**3 + 1368*n**2 - 7213*n - 1284. Calculate t(190).
46
Let w(q) = q**3 + 14*q**2 + 198*q + 1916. Determine w(-11).
101
Let d(v) = 799*v**2 - 10413*v + 342. Determine d(13).
4
Let i(f) = -543*f - 21074. What is i(-39)?
103
Let g(x) = 23*x**2 + 46*x - 808. What is g(12)?
3056
Let w(r) = -3*r**3 - 147*r**2 - 79*r + 62. Give w(-48).
-3058
Let y(u) = 387*u**2 + 15037*u - 2179. What is y(-39)?
5
Let x(u) = -1338*u - 17391. What is x(-13)?
3
Let c(l) = -114*l**2 + 1534*l + 4599. Calculate c(-3).
-1029
Let z(k) = -20*k**2 - 2330*k + 1138. Determine z(-117).
-32
Let t(r) = 3*r**2 - 31*r + 26. Determine t(7).
-44
Let i(y) = -y**2 + 1498*y - 472118. What is i(451)?
79
Let p(l) = 24651*l - 1552998. Give p(63).
15
Let g(k) = -150*k**2 - 350*k + 1424. Determine g(4).
-2376
Let u(o) = 5169*o + 1194039. Calculate u(-231).
0
Let m(a) = 211*a**3 + 18*a**2 - 89*a + 71. Determine m(1).
211
Let d(a) = -167*a - 34901. Determine d(-211).
336
Let n(r) = r**3 - 29*r**2 - 218*r + 7206. Determine n(27).
-138
Let x(b) = -b**3 - 27*b**2 - 83*b - 158. Give x(-18).
-1580
Let n(y) = -2267*y - 160963. Determine n(-71).
-6
Let g(r) = 103176*r + 1238138. What is g(-12)?
26
Let z(m) = -9*m**2 - 2290*m - 11474. Give z(-5).
-249
Let d(m) = 4381*m + 39473. Determine d(-9).
44
Let a(x) = 28*x**2 + 90*x - 147529. Give a(71).
9
Let o(z) = -z**2 + 152105*z + 608443. Give o(-4).
7
Let q(n) = -105953*n + 1801210. Calculate q(17).
9
Let n(v) = -162*v**2 - 205*v + 7. What is n(-1)?
50
Let z(m) = 7*m**2 + 318986*m - 1276050. Calculate z(4).
6
Let w(z) = 9*z**2 - 1455*z - 3408. Calculate w(164).
36
Let l(h) = -h**3 + 55*h**2 - 193*h - 480. Determine l(51).
81
Let q(g) = 3*g**2 - 2227*g - 2220. Give q(-1).
10
Let x(p) = p**3 + 31*p**2 + 74*p + 158. What is x(-29)?
-306
Let w(m) = -233397*m + 1633800. Give w(7).
21
Let w(i) = 214*i - 1413. Give w(9).
513
Let w(s) = 313*s - 5806. Give w(20).
454
Let a(m) = -8550*m - 179136. What is a(-21)?
414
Let l(o) = 2*o**3 + 50*o**2 - 59*o - 2283. Determine l(-20).
2897
Let d(u) = -157255*u + 471835. Determine d(3).
70
Let y(r) = -31800*r**2 - 667808*r - 49. Calculate y(-21).
119
Let t(z) = -z**3 + 27515*z**2 + 110072*z - 12. What is t(-4)?
4
Let l(u) = -4*u**2 + 6344*u + 4839549. Calculate l(-563).
1
Let r(q) = -6991*q + 3215956. Determine r(460).
96
Let f(k) = -6*k**2 + 203*k + 320. Give f(32).
672
Let a(t) = -2*t**3 + 570*t**2 - 27000*t - 99. Calculate a(60).
-99
Let u(i) = 66868*i + 11701907. Give u(-175).
7
Let u(l) = l**2 + 116*l + 4007. Determine u(-57).
644
Let u(o) = -o**3 - 16*o + 290. Give u(12).
-1630
Let b(a) = 3*a**3 - 283*a**2 - 172*a - 1606. Give b(95).
104
Let l(o) = -27734*o - 110939. What is l(-4)?
-3
Let x(n) = n**3 + 160*n**2 + 2920*n + 8302. Give x(-17).
-11
Let m(h) = 3*h**3 - 366*h**2 + 1085*h - 1673. Determine m(119).
-7
Let l(k) = -3*k**3 - 56*k**2 - 19*k - 161. Give l(-20).
1819
Let a(p) = 3*p**2 - 18*p - 272. Determine a(-9).
133
Let a(q) = -35*q**2 + 166*q + 10. Calculate a(5).
-35
Let g(h) = 5*h**3 - 25*h**2 + 64*h - 219. Give g(5).
101
Let p(a) = a**2 + 5*a - 7077. Calculate p(82).
57
Let w(y) = 75*y**2 + 907*y + 84. Give w(-12).
0
Let s(u) = -u**3 + 118*u**2 + 758*u - 15229. Determine s(-14).
31
Let v(t) = -10683*t - 10608207. Give v(-993).
12
Let r(m) = -65*m**2 - 125*m + 1213. Determine r(3).
253
Let i(n) = -197*n + 12796. Give i(65).
-9
Let w(r) = -4*r**3 - 300*r**2 - 503*r - 37696. Give w(-75).
29
Let f(o) = 59*o**2 + 166*o - 2. Give f(-1).
-109
Let a(t) = -t**3 + t**2 + 410*t + 1118. Give a(0).
1118
Let y(q) = 2*q**2 + 144*q + 1068. What is y(-53)?
-946
Let l(a) = a**3 + 763*a**2 - 5393*a + 22. Determine l(7).
1
Let i(n) = -180*n**2 + 19803*n + 44. Determine i(110).
374
Let n(l) = -439*l - 20275. What is n(-46)?
-81
Let h(z) = 4*z**2 + 54*z + 1172. Give h(-15).
1262
Let l(b) = -b**2 + 6101*b - 475732. Give l(79).
6
Let z(l) = -8*l**3 + 62*l**2 - 637*l + 4171. What is z(7)?
6
Let q(o) = -3105*o - 46653. Determine q(-15).
-78
Let s(c) = 248*c - 1885. What is s(9)?
347
Let u(k) = -29*k - 3951. What is u(-116)?
-587
Let s(h) = 3*h**2 + 6099*h - 48949. Determine s(8).
35
Let c(f) = 37*f**3 + 3245*f**2 - 71762*f - 8. Give c(-106).
-8
Let n(d) = -643*d + 36659. Calculate n(57).
8
Let w(r) = -r**3 - 15*r**2 + 340*r + 5186. Calculate w(-15).
86
Let z(t) = -t**2 + 289884*t - 1159522. Calculate z(4).
-2
Let r(f) = -68536*f - 479748. Give r(-7).
4
Let k(t) = -t**3 + 34*t**2 + 109*t - 503. Calculate k(37).
-577
Let j(b) = -4*b**3 + 42*b**2 - 124*b + 1052. Determine j(10).
12
Let c(q) = -33*q**3 + 288*q**2 + 301*q - 1974. What is c(9)?
6
Let x(g) = g**3 + 162*g**2 - 5966*g + 3307. Calculate x(-193).
26
Let k(m) = -10*m**3 + m**2 - 40071*m + 80138. Determine k(2).
-80
Let g(f) = -2*f**2 + 114*f - 3011. Calculate g(46).
-1999
Let d(h) = -3306*h + 161875. What is d(49)?
-119
Let c(y) = 3042*y + 231178. Give c(-76).
-14
Let k(d) = -704*d**2 + 40832*d + 6. Determine k(58).
6
Let d(i) = -2*i**2 - 178*i + 52816. What is d(124)?
-8
Let p(l) = -61037*l - 9277617. Calculate p(-152).
7
Let g(w) = 35455*w - 354448. Determine g(10).
102
Let v(s) =
|
{
"pile_set_name": "DM Mathematics"
}
|
7 - (1 - 9) - 4.
-3
What is the value of -1 + 1 - (5 + -5 + -4)?
4
What is the value of 10 + -1 + (-12 - -6)?
3
Calculate -1 + -1 - -12 - 3.
7
-40 - -47 - (6 - 0)
1
What is the value of 5 + 0 + -2 + -3 - 2?
-2
What is the value of (-7 - 7) + (5 - -3)?
-6
8 - (1 + (-6 - -3)) - 5
5
What is the value of 6 - (1 - (1 + -3 - -2))?
5
What is 2 + (-6 - -3) - 4?
-5
What is -3 - (-6 + 3 + 1) - 0?
-1
What is (1 - 1) + 0 + 99 + -96?
3
What is the value of 1 + 16 + -7 + -4?
6
0 - ((10 - 3) + 1 + -1)
-7
Calculate ((-3 - 7) + 1 - -8) + 1.
0
What is the value of (22 - 21) + (-6 - -3) + 0?
-2
What is the value of 3 - (8 - (7 - 7))?
-5
Evaluate 2 + (4 + -2 + -7 - -6).
3
-1 + 8 + (7 - 17)
-3
What is the value of (-3 - -5) + -2 + 2 - 3?
-1
What is the value of (5 - (7 + -4 + -2)) + 4?
8
Calculate -1 - -1 - (-2 - -6).
-4
(47 - 41) + 2 + -6 + 1
3
Calculate 3 - ((0 - 1) + (32 - 27)).
-1
What is the value of 18 + -15 + -8 - (-1 + 0)?
-4
Calculate 1 + 1 + -1 + -5 + 2.
-2
Evaluate 6 + -5 + 0 + 1.
2
Calculate (-4 - (-2 - -12)) + 7 + -1.
-8
Evaluate (3 - (-5 - -11)) + 2.
-1
-6 + 18 - ((-4 - -3) + 5)
8
-70 + 70 - ((-6 - 3) + 2)
7
What is -158 - -162 - (9 + 0)?
-5
Calculate 4 + 0 - (12 - (1 - -1)).
-6
Evaluate -1 + 4 + (3 - 4) + 7.
9
Evaluate (-4 - -1) + 2 + (0 - -2).
1
Evaluate (3 - 2) + 2 + 0 + -4.
-1
-2 + 2 + -2 - -8
6
Evaluate 0 + (11 - 3) - (1 + 1).
6
Calculate (14 + -2 - 13) + (6 - 0).
5
Evaluate 3 + (-3 - (-2 - 0)) + 0.
2
Evaluate -3 - (-1 + -3 + 8 - 5).
-2
Calculate -14 + -9 + 7 + 6.
-10
What is (0 - 1) + (-1 - (-3 - 0))?
1
What is the value of 0 + -6 + -3 - (3 + -4)?
-8
Evaluate 0 - 2 - (77 - 85).
6
6 + 0 + 18 + -30
-6
0 + (3 - (3 - 3))
3
What is -1 - (7 + -1) - (-5 - -5)?
-7
Evaluate -29 - -23 - (-1 + 0).
-5
What is the value of 0 + 0 + 2 + -1?
1
What is 6 + -6 + (0 - -3)?
3
80 + -68 + -10 + 1
3
What is 21 + -16 - (-1 - (-3 + -3))?
0
Calculate 6 - (-1 + 11 - 6).
2
What is the value of -3 + 1 - -2 - 2?
-2
What is the value of -1 + 2 + (3 - 3)?
1
Evaluate (-4 - (-11 + 21)) + 7.
-7
Calculate 4 + 0 + -8 + 5.
1
Evaluate 6 + -7 + (-2 - -3) - 5.
-5
Evaluate 3 + (0 - 5 - -7).
5
Calculate -16 - ((4 - -1) + -18).
-3
(-8 - (5 - 5)) + 2 + 1
-5
Calculate 1 + -2 - -8 - 7.
0
Calculate -1 - -4 - (6 - (2 - 2)).
-3
Calculate -2 - (-2 + 1) - (96 + -93).
-4
Evaluate -5 + 8 + -3 - -3.
3
What is the value of (5 - -1) + (76 - 82)?
0
What is 3 - ((2 - 0) + 1)?
0
-2 - (17 + -19 + (1 - -3))
-4
What is the value of 2 - (0 - -1 - -2) - 1?
-2
Evaluate (-12 - 1 - (-6 + 3)) + 4.
-6
What is 8 + 9 + -8 + -3?
6
17 - 21 - (-1 - 8)
5
Evaluate 5 - ((5 - 5) + 6 + -5).
4
Evaluate 1 - 3 - (2 + -4 - 1).
1
Evaluate 2 - (-1 - (3 + -7 + 4)).
3
Calculate -4 + 3 + -1 + -1.
-3
Evaluate (-20 - -23) + (3 - 1 - 2).
3
What is 5 - (8 + -14 - -10)?
1
Evaluate 3 - (-3 - -2 - (1 - 8)).
-3
(19 - 21) + 5 + 1
4
(9 - (16 - 6)) + 6
5
16 + -21 + (0 - 0)
-5
Evaluate (3 - (3 + -3) - 9) + 4.
-2
What is the value of 1 - 1 - (3 + -6 - 2)?
5
Calculate 5 + -7 + (-3 - -6) + 2.
3
Calculate -4 + 6 + 2 - 9.
-5
Evaluate -1 - -4 - (2 + -5 - -5).
1
What is the value of (17 - (4 + -2 - -4)) + -3?
8
Calculate 6 + (6 + (1 - 8) - 1).
4
-18 - -32 - (20 + -3)
-3
Calculate 1 - -4 - (-9 - -8).
6
What is (14 - 9) + (-12 - (-2 + 3))?
-8
What is -2 + (3 - 1) - (-116 + 123)?
-7
-1 - (-1 + 0 + 2 + -1)
-1
What is the value of (4 - 1) + (15 - 7 - 7)?
4
What is the value of -8 - -8 - (5 - 11)?
6
-4 - ((6 - 1) + -5)
-4
What is the value of (3 - (-1 + 0 - -8)) + -1?
-5
What is (3 + -8 - -2) + 8?
5
-30 + 36 - (7 + 1)
-2
What is the value of -3 + 1 + 0 - (2 - 3)?
-1
Calculate -5 + (10 - -1) + 0.
6
Evaluate (-1 - -2 - (-2 - -2)) + 1.
2
Calculate -1 + 1 - (2 + -3).
1
What is the value of 2 + (-2 + 5 - 9)?
-4
What is (-6 - 1 - -6) + 1 + -1?
-1
Calculate -2 + 3 + 4 + -7.
-2
What is -1 + 6 + (-2 - -6) + -7?
2
What is 1 - (4 - -1 - 0)?
-4
What is -4 + 6 - ((-5 - 1) + 14)?
-6
Evaluate -4 - (3 - (-1 + 3 - -5)).
0
What is the value of -1 + 6 + -8 + 4?
1
What is 4 - (-2 + (2 - 1))?
5
2 + -5 + 0 - 0
-3
Calculate -11 - -8 - (-2 - -1 - 1).
-1
Calculate -5 - (0 + (-5 - 2)).
2
1 + (-4 - -1) - 3
-5
-9 + (5 - 2) - (-2 + 2)
-6
Evaluate -13 - -5 - (2 + -5).
-5
What is (4 - 15) + 0 + 5?
-6
Calculate 4 - (1 + 1 - -2).
0
Calculate -3 - (1 - (8 + 1)).
5
What is the value of (2 - 4) + 5 - (6 - 10)?
7
-4 - (6 + -5 + 6 + -2)
-9
What is (-9 - -4 - -6) + -1 + 4?
4
What is 0 + -3 + (3 - 5)?
-5
1 + -1 + (-19 - -16)
-3
What is the value of -8 - (-2 - (3 - 2))?
-5
-9 + 2 - -4 - (4 + -1)
-6
What is (6 - (-5 + -1)) + -6?
6
What is the value of -7 - ((6 - 12) + 4) - -1?
-4
Calculate -1 + -2 + 1 + (-16 - -23).
5
Evaluate -2 - 0 - (-2 - 2).
2
What is (3 - (10 - 5)) + -2 - -10?
6
5 + (-1 - 13) + 11
2
Calculate -1 + (15 - 21) + (10 - 1).
2
What is the value of -10 - -12 - (5 - -3)?
-6
-1 + (5 - 12 - -8)
0
Calculate (-1 - 0) + 27 + -23.
3
-4 - (1 + -1 + 2 + -3)
-3
What is (0 + 6 - 11) + 6?
1
Calculate -4 - (0 - ((-5 - -8) + -5)).
-6
Evaluate 1 - (7 + 5 - 7).
-4
Calculate -26 + -10 + 4 + 21.
-11
What is -6 - -8 - (-3 + 0)?
5
What is -8 + -3 - (-4 + 5 - 3)?
-9
-4 - (8 + (6 - 23))
5
Evaluate 22 - 39 - (-9 + 2).
-10
Evaluate 3 + (-9 - (8 - 17)).
3
Evaluate 13 - 7 - (-1 - (1 + 0)).
8
-3 - (-4 - (-1 + -5)) - -3
-2
-6 - -5 - 0 - (7 + -1)
-7
What is -5 + 2 + 6 - (5 + 3)?
-5
-4 + (5 - (1 + 1))
-1
What is -7 + (3 + 9 - 3) + -5?
-3
What is the value of -10 - 1 - (-5 - 1)?
-5
6 + -4 + 1 + 2
5
Calculate 2 - -2 - (3 + (1 - 0)).
0
(-15 - -25) + -22 + 3
-9
What is 2 + 4 + -3 + (3 - 13)?
-7
(-4 - -2 - -1) + 8 + -4
3
Calculate 20 + -20 + 7 + 1.
8
Evaluate 1 + 13 + -10 - 6.
-2
What is the value of (1 - 3) + -1 - -3?
0
What is the value of 6 - 7 - -2 - 2 - -6?
5
Calculate (-3 - -3) + (13 - 8).
5
Evaluate -7 + -1 + 11 - -3.
6
-4 - (-2 - (2 - 1))
-1
Evaluate -3 + 0 + -6 + 7.
-2
What is the value of (0 - 2 - (34 - 32)) + -2?
-6
What is 3 + -5 + -1 + 2 - 1?
-2
What is -2 + -2 + 2 - (-221 - -215)?
4
What is (-2 + (-3 - -8) - 1) + -1?
1
2 - (9 + (4 - 13))
2
Evaluate -4 + 3 + 1 + -13 + 8.
-5
What is 15 - (8 + -10) - 12?
5
What is the value of -6 + 4 - (2 + 0)?
-4
Evaluate 7 + -3 - (0 + 7).
-3
3 + 4 - (-3 - -15)
-5
Evaluate (11 - 12) + 8 - 16.
-9
Calculate 0 - (6 - 3 - (8 - -3)).
8
What is the value of 10 + -1 + (-5 - 4 - -5)?
5
What is -7 - (-11 + -7 - -5)?
6
What is 14 + (-25 - -12) + 3?
4
What is (-4 - -2) + 4 + 3?
5
What is the value of -7 - (5 - -1 - 5)?
-8
What is -41 + 25 + (0 - -7) + 1?
-8
What is the value of (7 - 2) + (15 - 22)?
-2
What is 8 - (-2 - -8 - (15 - 13))?
4
Calculate 5 + 3 + (-5 - (-4 + 12)).
-5
What is 10 + -6 - 9 - (0 + -9)?
4
What is the value of (-24 - (-18 - 3)) + -1 + -1?
-5
What is the value of 8 + -7 - -1 - 7?
-5
What is (2 - 2) + (-5 - (0 - 0))?
-5
What is 6 + 7 + -2 + -8?
3
Evaluate (4 - (1 + -1)) + 1 - 1.
4
3 + (3 - 4) - -1
3
1 - 2 - (5 + -2 + -8)
4
Calculate -6 - -2 - 1 - -4.
-1
What is the value of 6 + 1 + -14 + 11 + -9?
-5
What is the value of 2 + 1 + (0 - 3)?
0
Calculate -12 + 16 + (1 - 0).
5
What is -5 - (-6 + 10 - (-2 + 10))?
-1
What is 2 - (3 - (7 - (6 - 3)))?
3
What is the value of 3 + -4 + (-1 - -1)?
-1
Calculate (-1 - (0 + -4)) + (1 - 3).
1
Evaluate 7 + (-4 - (2 + -4)).
5
Calculate (-2 - 2) + (4 - 0).
0
What is the value of -2 + (4 - 5) + -1?
-4
Calculate (-2 - 2) + (12 - (8 + 11)).
-11
What is -2 + -2 + -6 + 4?
-6
What is the value of 3 - (9 + -1 + -3)?
-2
Calculate -4 + 3 - (7 - 2) - -2.
-4
Evaluate -9 + 0 + 10 + 4.
5
-9 - 0 - -3 - (-2 + -2)
-2
Evaluate (-5 - -9) + (2 - 8) - 0.
-2
8 + -2 + -4 + -3
-1
Calculate 7 + -11 - (1 - 3).
-2
Calculate 1 + (-10 - (-7 - -5)).
-7
What is the value of 5 - (-6 + (8 - 2))?
5
What is 2 + (6 - 7 - 2)?
-1
What is 3 - 5 - (2 + -1)?
-3
1 + 3 - 12 - (0 - 3)
-5
3 + 1 + -8 - 0
-4
0 - -2 - -2 - (31 - 28)
1
-3 + -6 - -6 - -11
8
What is -1 + 5 + (3 - 9)?
-2
What is 1 - (3 + -17 + 10)?
5
What is (1 - -4 - 0) + -10?
-5
What is (-1 - (6 - 14)) + -9 + 3?
1
What is (12 - 17) + 4 + 0 + -1?
-2
14 - (-2 - (-11 + 2))
7
What is the value of (5 - (-3 + (14 - 1))) + 10?
5
What is the value of (-7 - 0) + (48 - 39)?
2
Evaluate 6 - (12 + -4 + 0).
-2
Calculate 2 + 8 - (115 + -111).
6
What is the value of -6 - (-2 - 11 - 1)?
8
Evaluate (-2 - 13 - -9) + 0 + 11.
5
What is (-8 - -6 - 5) + 10?
3
2 - (16 + -10 + 2)
-6
What is 17 + (-13 - (-6 + 6))?
4
Calculate -11 - (-1 -
|
{
"pile_set_name": "DM Mathematics"
}
|
(y*y**(-7)))**(-4/7) assuming y is positive.
y**(-4)
Simplify (j**(-21/4)/j*j)/j**(-1/42) assuming j is positive.
j**(-439/84)
Simplify j/j**5*j*((j/(j/(j**(2/3)*j)))/j)/j*j*j/(j**6*j)*j**(-1/3)*j assuming j is positive.
j**(-23/3)
Simplify (g/(g/(g/((g**6/g)/g)))*(g**6*g*g)/g)/((g/g**(1/6))/((g*(g**(-1/7)*g)/g*g)/g*g)) assuming g is positive.
g**(211/42)
Simplify (v**(5/3))**(-2/55) assuming v is positive.
v**(-2/33)
Simplify o/o**(-2/25)*((o/o**(2/5))/o)/o*o*(o**1)**38 assuming o is positive.
o**(967/25)
Simplify c*(c/c**(-1/3))/c*c*c/(c*c/c**(-3/7)*c) assuming c is positive.
c**(-2/21)
Simplify (i/(i**(-1/4)*i)*i**(2/9))/((i**(-4/5)/i)/(i/(i**(2/11)*i)*i)) assuming i is positive.
i**(6119/1980)
Simplify (f*(f**0/f)/f*f**6/f)/(((((f*f**4)/f)/f)/f)/(f/(f*f**(-3/4)*f))) assuming f is positive.
f**(7/4)
Simplify ((n*n/(n/n**2))/(n**6/n*n))**(-8/15) assuming n is positive.
n**(8/5)
Simplify (l/(l**(2/19)/l))**25 assuming l is positive.
l**(900/19)
Simplify (r*r**2)**38 assuming r is positive.
r**114
Simplify ((k**0/k)**(-7/3))**(2/63) assuming k is positive.
k**(2/27)
Simplify (h**(-3/5)*h*h**(-2/3)*h*h)**(-45) assuming h is positive.
h**(-78)
Simplify l**(-1/23)/l**(-1) assuming l is positive.
l**(22/23)
Simplify (q/q**0*q*q**(-8)/q*q)/(q**(-2))**(21/8) assuming q is positive.
q**(-3/4)
Simplify (d*d/(d/d**(2/7)))/d**22 assuming d is positive.
d**(-145/7)
Simplify z**5/(z**(-1/8)/z)*z**(2/5)/z**(-3/7) assuming z is positive.
z**(1947/280)
Simplify (q*q**(-3)*q)**42*q*q*q**(3/2)*q**(4/5)*q assuming q is positive.
q**(-367/10)
Simplify ((i**(1/5))**(1/3))**(-3/14) assuming i is positive.
i**(-1/70)
Simplify (u**(3/20))**46 assuming u is positive.
u**(69/10)
Simplify p*p*p**(-4/9)*p*p**12 assuming p is positive.
p**(131/9)
Simplify ((o/o**(-9/2))/o*o)**(-8) assuming o is positive.
o**(-44)
Simplify (s/((s/(s/(s*s**(-1/2)/s)))/s)*s**(3/4)*s)/(s*s**(-1))**(-39) assuming s is positive.
s**(17/4)
Simplify (h*h*h*h/((h*h**(1/2))/h))**(-6)*(h**(-2)/h*h)**(-14) assuming h is positive.
h**7
Simplify ((p*(p/p**(-1))/p)**(-8/7))**(-39) assuming p is positive.
p**(624/7)
Simplify ((i/(i/(i**(-2)*i)))/i*i)**21*i**(-5)/i*i*i**(2/13) assuming i is positive.
i**(-336/13)
Simplify (r**(-1))**(-35)*(r/r**(-10)*r)/((r*r**(-4/5))/r) assuming r is positive.
r**(239/5)
Simplify ((b**(1/4))**(-1/68))**(9/11) assuming b is positive.
b**(-9/2992)
Simplify (i*i**(2/13))/(i/i**(-2/21))*i**(-1/5)/i**(-2/5) assuming i is positive.
i**(353/1365)
Simplify (t/t**(1/4))**(14/9)/((t*t/(t*t*t**(-3/7)))/(t/t**(-7))) assuming t is positive.
t**(367/42)
Simplify (a**9/(a*a**(-3/5)))/(a/(a/a**(-1/2))*a**(1/12)) assuming a is positive.
a**(541/60)
Simplify (f*f**(-3/2)*f)**(1/54) assuming f is positive.
f**(1/108)
Simplify ((g**(-2/7))**11)**(-20/7) assuming g is positive.
g**(440/49)
Simplify p*p*p**(-11/4)*p/((p/p**(1/2))/p) assuming p is positive.
p**(3/4)
Simplify ((t/t**(1/6)*t)/t**6)/(t**(-6)/((t/((t/t**(-2/3))/t*t))/t*t)) assuming t is positive.
t**(7/6)
Simplify ((h/(h*h**5))/h)**(-1/5) assuming h is positive.
h**(6/5)
Simplify (x*x**(-1))**(-9/10)/(x*x**(-1)*x**3) assuming x is positive.
x**(-3)
Simplify t**1*t*t**2*t*t*t**(-1/4)*t**(-1/5)*t assuming t is positive.
t**(131/20)
Simplify (w*w**(-1/3))**(-15/8)*w**(1/3)*w*w**(-3/7) assuming w is positive.
w**(-29/84)
Simplify ((j**7*j)/j**(-1))/(j/((j/(j/j**(1/3)*j))/j*j*j*j))**48 assuming j is positive.
j**25
Simplify y**(-2/9)/((y*y**(-6))/y)*(y**(-6)/y)/(y*y**(-5)) assuming y is positive.
y**(25/9)
Simplify (t**(1/24)/t)**(-5/3) assuming t is positive.
t**(115/72)
Simplify m*m**(2/15)*(m/(m**(-4)*m))/m*(m*m*m**(-1/2))**(-19/6) assuming m is positive.
m**(-37/60)
Simplify ((w**(-3)/w*w*w)/w*w*w*(w/(w*w**(-7))*w)/w)/(w/(w*w*w/(w*w**(-2/9)))*w**3) assuming w is positive.
w**(38/9)
Simplify (q/q**(2/7))**(15/2)*(q**(-3)/q)/(q*((q**(-9)*q)/q)/q*q*q) assuming q is positive.
q**(117/14)
Simplify (c**(13/2)/c)/(c*c*c*c*c/(c*c*c/(c/(c*c**(-9)/c))*c)*c) assuming c is positive.
c**(-13/2)
Simplify (c/c**(-1/2)*c)**(8/3)/(c**2/(c*c**3)) assuming c is positive.
c**(26/3)
Simplify (l/(l*(l/l**13)/l)*l**(-16)*l)**13 assuming l is positive.
l**(-26)
Simplify z**(8/11)*(z**(1/19)*z)/z assuming z is positive.
z**(163/209)
Simplify h/((h/(h*h/h**(-4)))/h*h)*h**0*h*(((h**(2/7)*h)/h)/h)**(-3/5) assuming h is positive.
h**(52/7)
Simplify k/(k**(-5/7)/k)*k**(-14)/k*k assuming k is positive.
k**(-79/7)
Simplify ((s/s**(-2/9))/s**12)**(1/42) assuming s is positive.
s**(-97/378)
Simplify (g**(-5/3)/(g*((g/(g/g**(-5)))/g)/g))/(((g*g*g**4*g)/g)/g**1) assuming g is positive.
g**(-2/3)
Simplify (w**(-1))**37*(w**(-2/7)*w)/w**6 assuming w is positive.
w**(-296/7)
Simplify ((r*r**2)/r)**(-3/7)*(r**(-2/5))**(1/5) assuming r is positive.
r**(-164/175)
Simplify t**(-9)*t*t**(7/9)*t assuming t is positive.
t**(-56/9)
Simplify p/p**2*(p**5/p)/p*(p*p*p**1*p)**20 assuming p is positive.
p**82
Simplify ((u*u/((u/u**(-1/5))/u))**(-6))**(40/3) assuming u is positive.
u**(-144)
Simplify u/(u/u**(3/4))*u**(7/2)/u assuming u is positive.
u**(13/4)
Simplify (x**(-13))**(1/14) assuming x is positive.
x**(-13/14)
Simplify c/c**(1/15)*c/c**(-1/18) assuming c is positive.
c**(179/90)
Simplify (m/(m*(m*m/m**(-5/4))/m*m))**(12/5) assuming m is positive.
m**(-39/5)
Simplify (h/h**(3/4)*h**0*h)/(h**(-3))**20 assuming h is positive.
h**(245/4)
Simplify (((u*u**(-1/4)*u)/u)**(-2/27))**(-1/30) assuming u is positive.
u**(1/540)
Simplify (x**(-2/9)/(x*x*x*x/(x*x*x**11)*x))**(7/8) assuming x is positive.
x**(245/36)
Simplify (a**(-2/5)*a)/(a/(a*(a/a**10)/a)) assuming a is positive.
a**(-47/5)
Simplify (h**3/h**(1/16))/(h**(-7)/h**(-1/7)) assuming h is positive.
h**(1097/112)
Simplify (t**2*t)**(2/45) assuming t is positive.
t**(2/15)
Simplify ((p**(1/3))**15)**16 assuming p is positive.
p**80
Simplify (r**(-1)*r*r**(-4/5))**(1/81) assuming r is positive.
r**(-4/405)
Simplify (i/((i**(-2/47)*i)/i*i))**34 assuming i is positive.
i**(68/47)
Simplify g**(-16/9)*g*g*g*g*g*g*g**(-1/8) assuming g is positive.
g**(295/72)
Simplify g**(-6)/(((g**(1/4)*g)/g)/g)*((g/(g**(1/3)/g))/g)/(g/g**(-2)) assuming g is positive.
g**(-91/12)
Simplify (h/h**1)**(-8/15)/(h*h**(2/7))**24 assuming h is positive.
h**(-216/7)
Simplify (l**(-3/5))**14 assuming l is positive.
l**(-42/5)
Simplify (b/(b*b**32)*b)**(-2/51) assuming b is positive.
b**(62/51)
Simplify (u**(3/7)/u)**(-32) assuming u is positive.
u**(128/7)
Simplify v**(-2/5)*v**20 assuming v is positive.
v**(98/5)
Simplify o**(-2/7)*o**(-6)*o*(o*o**(-4/9))/(((o**4*o)/o)/o) assuming o is positive.
o**(-487/63)
Simplify v**1*v**(-1/22) assuming v is positive.
v**(21/22)
Simplify m/m**(-1)*m/m**(-2/7)*(m**(-1)*m*m*m)/m**(-2/5) assuming m is positive.
m**(199/35)
Simplify ((j**(-1/3)/j)**29)**(-2/127) assuming j is positive.
j**(232/381)
Simplify (((m/(m*m**7))/m)/m**6)/(m/(m/m**(-4))*m**(-1/4)) assuming m is positive.
m**(-39/4)
Simplify (z*z/(z*z**(-1))*z*z**(-1/3))**(-11/2) assuming z is positive.
z**(-44/3)
Simplify (k/k**(2/35))/k*k*k**25 assuming k is positive.
k**(908/35)
Simplify f**(-1)/(f/(f/(f**(2/7)*f)))*(f/f**(1/3))**(-6/23) assuming f is positive.
f**(-396/161)
Simplify l/l**(2/7)*l*l**6*l*l/(l*l**(-2/3))*l**(-1/6)*l assuming l is positive.
l**(143/14)
Simplify (o/(o*o*o/(o**(2/9)*o*o)))/((o/(o**(-1/2)*o)*o)/o)*(o**0/o)**25 assuming o is positive.
o**(-455/18)
Simplify (u**(-1/3))**(-35) assuming u is positive.
u**(35/3)
Simplify (k**(-3)*k*k/((k**0/k)/k))/(k/k**1*k/k**4) assuming k is positive.
k**4
Simplify p**(2/11)*p*p*p**(-2/15)*p*p*p assuming p is positive.
p**(833/165)
Simplify (l*l**(-1))**(2/3)*(l*l**(-4))/l**3 assuming l is positive.
l**(-6)
Simplify ((d*d*d*d*d**(-7)*d*d*d)/d*d*d*d**22*d*d*d)**(-25) assuming d is positive.
d**(-650)
Simplify a*a**11*a/((a/(a/(a*a**(-13)/a))*a)/a)*a assuming a is positive.
a**27
Simplify (k**(-2/5)/k)**(12/19)/(k/k**(-2/11))**38 assuming k is positive.
k**(-47854/1045)
Simplify ((n/n**(-3))/((n*n**(1/2)/n)/n))/(n**(-2/3))**43 assuming n is positive.
n**(199/6)
Simplify (((((h/(h*h*h*(h/(h**(1/9)*h))/h*h))/h*h)/h)/h*h)/(h*h**(2/7)))**34 assuming h is positive.
h**(-8942/63)
Simplify f**(-6/13)/(f*f**(-4/11)*f) assuming f is positive.
f**(-300/143)
Simplify (l**(8/5)*l/((l/(l*l**(-16)*l*l))/l))**(-
|
{
"pile_set_name": "DM Mathematics"
}
|
*3.
k**3 - 2
Collect the terms in 356*b**2 - 238*b**3 - 66*b**3 - 45*b**3 - 356*b**2.
-349*b**3
Collect the terms in 2*j - 13 - 2*j + 10 + 7725*j**2.
7725*j**2 - 3
Collect the terms in 6*d**3 + d**3 + 17*d**2 + 2*d + 4*d.
7*d**3 + 17*d**2 + 6*d
Collect the terms in 11*t**2 - 10*t**2 - 7*t**2 + 2*t**2 + 10*t**2 - 4*t**2.
2*t**2
Collect the terms in -3*d**2 + 34*d + 5 + 0*d + 8*d + 13*d.
-3*d**2 + 55*d + 5
Collect the terms in -i**2 + i**2 + 92319*i**3.
92319*i**3
Collect the terms in 3045*o**2 + 1666*o**2 - 1092*o**2.
3619*o**2
Collect the terms in 9*f**2 + 49*f**3 - 15*f**2 - 65*f**3 + 37*f**3 + 6*f**2.
21*f**3
Collect the terms in -3000*h + 53*h**2 + 3000*h.
53*h**2
Collect the terms in 27*o**3 - 10*o + 4*o - 73*o**3 - 54*o**3.
-100*o**3 - 6*o
Collect the terms in -303*x - 97*x**3 + 151*x + 152*x - 358*x**3.
-455*x**3
Collect the terms in 202917*i - 67638*i - 67641*i - 67636*i.
2*i
Collect the terms in -4 + 61*o + 69*o + 5 - 3 - 12 - 132*o.
-2*o - 14
Collect the terms in -38*k - 2*k - 11*k + 52.
-51*k + 52
Collect the terms in -8*q**2 - 27*q**2 - 4*q**2.
-39*q**2
Collect the terms in -4*r**3 - 3037*r**2 + 1518*r**2 + 1519*r**2 + r**3.
-3*r**3
Collect the terms in -21*b - 17*b + 53*b - 29*b - 15*b.
-29*b
Collect the terms in -2 - 2 + 4 - 1279*j + 704*j.
-575*j
Collect the terms in 41 - 950*d**2 - 23 - 17.
-950*d**2 + 1
Collect the terms in 5807*j + 5 - 5817*j + 0 - 5.
-10*j
Collect the terms in -40*b + 20*b + 41*b - 24*b.
-3*b
Collect the terms in 223*u - 77*u - 75*u + 221*u + 243*u.
535*u
Collect the terms in 12*z**2 + z**2 - 2079608*z + 2079608*z.
13*z**2
Collect the terms in 153*j + 777 + 693*j - 778.
846*j - 1
Collect the terms in -732*d - 872*d - 730*d + 3066*d - 731*d.
d
Collect the terms in 4595*n + 0 + 0 - 4608*n.
-13*n
Collect the terms in 267*m - 120*m + 98*m + 200*m.
445*m
Collect the terms in 24*b - 82*b - 5*b.
-63*b
Collect the terms in -48*p**2 + 12*p**2 - 2527 - 25*p**2 + 2527.
-61*p**2
Collect the terms in 111 + 120 - 486 + 255 - 3*f.
-3*f
Collect the terms in -517*v**2 + 2778 - 2778.
-517*v**2
Collect the terms in 14*h - 7*h - 7*h - 24*h.
-24*h
Collect the terms in 24 - 489*x - 8 + 483*x.
-6*x + 16
Collect the terms in -80*d - 36*d - 13*d + 68*d.
-61*d
Collect the terms in -45*b**2 + 2561*b**2 - 1158*b**2.
1358*b**2
Collect the terms in -238*a**3 - 164*a**3 - 168*a**3 - 736*a**3.
-1306*a**3
Collect the terms in -6 + 4 + 518*f**3 + 2.
518*f**3
Collect the terms in -v - 14*v**2 - 7*v**2 - 13*v**2 - v + 17*v**2.
-17*v**2 - 2*v
Collect the terms in -6387*x - 4118*x - 31 + 31.
-10505*x
Collect the terms in 157642 - 157642 - 6*s**3 - s**2 + s**2 - 2*s**2.
-6*s**3 - 2*s**2
Collect the terms in -354*f - 24*f - 1 - 414*f.
-792*f - 1
Collect the terms in 130*t**2 + 93*t**2 + 394*t**2 + 190*t**2 + 473*t**2.
1280*t**2
Collect the terms in 3*z**3 + 2751170785 - 2751170785.
3*z**3
Collect the terms in -3988*n - 3955*n - 3954*n + 10*n**2 + 11897*n.
10*n**2
Collect the terms in -1965*p**3 - 27*p**2 + 27*p**2.
-1965*p**3
Collect the terms in 14000 - 595 + 2*u + 16195 + 12837.
2*u + 42437
Collect the terms in -136*s**2 - 138*s**2 + 253*s**2.
-21*s**2
Collect the terms in -908*z + 452*z + 354*z.
-102*z
Collect the terms in -523*z**3 + 964*z**3 - 445*z**3.
-4*z**3
Collect the terms in -6 + 0 - 7*q**3 + 11 - 7*q**3 - 10*q**3.
-24*q**3 + 5
Collect the terms in -t**2 + 2*t**2 - t**2 - 4*t**2 - 23406.
-4*t**2 - 23406
Collect the terms in g + 37098 - 18554 - 18544.
g
Collect the terms in 5*t + 36 - 16 + t + 42.
6*t + 62
Collect the terms in -23*v**3 - 24*v**3 - 515*v + 513*v - 17*v**3.
-64*v**3 - 2*v
Collect the terms in 385*d**2 - 1474*d**2 + 361*d**2 + 365*d**2 + 362*d**2.
-d**2
Collect the terms in -511561*c + 511561*c + 2*c**3.
2*c**3
Collect the terms in 5*l + 363*l**3 - 1143*l**3 - 17*l - 2 - 865*l**3.
-1645*l**3 - 12*l - 2
Collect the terms in 538 + 11*m**2 + 547 - 1085 - 28*m**2.
-17*m**2
Collect the terms in 2761*s**2 - 2655*s**2 + 0 + 0.
106*s**2
Collect the terms in -118*d**3 + 202*d**2 + 4 - 201*d**2 - 4.
-118*d**3 + d**2
Collect the terms in -12 + 4473*i**3 - 5 + 17.
4473*i**3
Collect the terms in 194*d - 237*d - 27107 + 27106.
-43*d - 1
Collect the terms in 197*q**2 - 387*q**2 + 174*q**2.
-16*q**2
Collect the terms in -130*l - 130*l - 126*l + 4 + 390*l + 54.
4*l + 58
Collect the terms in 38*j**3 + 6*j**3 - 2*j**3 + 4*j**3.
46*j**3
Collect the terms in 6709*n + 2 - 2*n**2 - 2 - 6693*n.
-2*n**2 + 16*n
Collect the terms in 237*j**3 - 6*j - 184*j**3 + 6*j.
53*j**3
Collect the terms in 28720*x**2 + 19*x**3 + 5 - 28720*x**2.
19*x**3 + 5
Collect the terms in 41460*l**3 + 41442*l**3 - 82912*l**3.
-10*l**3
Collect the terms in -12703*s**2 - 12675*s**2 + 25408*s**2.
30*s**2
Collect the terms in 530*p**3 - 292*p**3 - 275*p**3.
-37*p**3
Collect the terms in -34 - 7*x**2 + 37*x**2 + 53 - 19.
30*x**2
Collect the terms in 101*c - 100*c + 218 + 263 - 481.
c
Collect the terms in 0 + 0 + 44*n**3 - 1 + 219*n**3.
263*n**3 - 1
Collect the terms in -138*p - 66*p + 21*p - 68*p.
-251*p
Collect the terms in -36*y + 117*y - 47*y.
34*y
Collect the terms in -4 - 49*p + 4 - 8*p.
-57*p
Collect the terms in -245534*o + 491073*o - 245534*o.
5*o
Collect the terms in 0 - 24*c + 3 + 3 + 243*c**2 - 2.
243*c**2 - 24*c + 4
Collect the terms in 786*u - 1583*u + 805*u.
8*u
Collect the terms in -493*l**2 - 485*l**2 - 496*l**2 + 1527*l**2.
53*l**2
Collect the terms in -507394*c + 253699*c + 253698*c.
3*c
Collect the terms in -8*m**3 + 197*m**2 - 61*m**2 - 73*m**2 - 24*m**3 - 62*m**2.
-32*m**3 + m**2
Collect the terms in -2*f**2 + 447471 - 447471.
-2*f**2
Collect the terms in -29*h + 98*h - 222*h - 208*h.
-361*h
Collect the terms in -3810*n - 1 + 1603*n + 1802*n + 1.
-405*n
Collect the terms in -207*z + 61923 - 61923.
-207*z
Collect the terms in -552*i + 196*i**3 - 244*i + 796*i.
196*i**3
Collect the terms in 37*g - 31*g + 50*g + 55*g - 13*g.
98*g
Collect the terms in 0*c**3 - 4*c**2 + 8*c**2 + 8*c**3 + 0*c**3.
8*c**3 + 4*c**2
Collect the terms in -92*y**2 - 3474 + 81*y**2 + 3474.
-11*y**2
Collect the terms in 318178416 - 318178416 + 2*u - 6*u.
-4*u
Collect the terms in -537*a**2 + 20*a**3 - 529*a**2 + 1597*a**2 - 531*a**2.
20*a**3
Collect the terms in 606 - v - 5*v + 2*v + 2*v - 602.
-2*v + 4
Collect the terms in 0*s**2 - 3*s**2 - 1823*s + s**2.
-2*s**2 - 1823*s
Collect the terms in 364*o**3 - 110*o**3 - 143*o**3 - 116*o**3.
-5*o**3
Collect the terms in 1476 + 4*h + 4*h**3 - 3676 - 2*h**3.
2*h**3 + 4*h - 2200
Collect the terms in 158*i - 77*i + 17*i**2 - 82*i - 7*i**2.
10*i**2 - i
Collect the terms in 105*u**2 - 142*u**2 + 3*u**2.
-34*u**2
Collect the terms in -7439*t**3 + 2547*t**3 - 1671*t**3.
-6563*t**3
Collect the terms in -125 + 4*o**2 + 245 - 130.
4*o**2 - 10
Collect the terms in 18 + 2*l - 9*l - 36.
-7*l - 18
Collect the terms in -33434*l**2 + 16680*l**2 + 16681*l**2.
-73*l**2
Collect the terms in -2*j - 6*j**3 - 5*j**3 - 6*j**3 + 7*j + 21*j**3.
4*j**3 + 5*j
Collect the terms in -414*y**3 + 33 + 33 - 66.
-414*y**3
Collect the terms in -29*w - 24*w + 91*w - 21*w - 9*w.
8*w
Collect the terms in 873*x + 786*x - 2600*x + 830*x.
-111*x
Collect the terms in -2823*m**3 + 5639*m**3 - 2826*m**3.
-10*m**3
Collect the terms in -7*s + s**3 + 7*s - 113 - 12.
s**3 - 125
Collect the terms in -94*n**2 + 206*n**2 - 3 - 99*n**2 + 3.
13*n**2
Collect the terms in -61863 + 2*h + 61863 - 35*h**2.
-35*h**2 + 2*h
Collect the terms in 2671*r**3 - 1323*r**3 - 1331*r**3.
17*r**3
Collect the terms in -2579*y**2 - 6781*y**2 - 4 + 4.
-9360*y**2
Collect the terms in 319 - 206 - 202 + 2*t**3.
2*t**3 - 89
Collect the terms in -8*a**2 + 127*a - 166 - 125*a + 166.
-8*a**2 + 2*a
Collect the terms in 1089*c**2 + 521*c**2 + 272*c**2 + 358*c**2.
2240*c**2
Collect the terms in 22*y + 1 - 27*y - 22*y - 10.
-27*y - 9
Collect the terms in 50*g - 67*g + 17*g + 8*g**2.
8*g**2
Collect the terms in -76*w**3 - 74*w**3 + 158*w**3.
8*w**3
Collect the terms in -604 + 2*w + 2*w + 604.
4*w
Collect the terms in 4*b - 2*b - 50 + 12 - 12.
2*b - 50
Collect the terms in 56*d - 147*d - 211*d.
-302*d
Collect the terms in -207 + 172 + 35 - 6*q**2.
-6*q**2
Collect the terms in 16*k**3 - 12*k**3 + 10*k**3 + 20*k**3.
34*k**3
Collect the terms in 355 - 1306 + 313 - 33*i**3 + 318 + 320.
-33*i**3
Collect the terms in 75*x**3 + 5 + 7
|
{
"pile_set_name": "DM Mathematics"
}
|
44?
-1447
In base 7, what is 134 + 3?
140
In base 2, what is 101100 - -1011?
110111
In base 12, what is -62b + -26?
-655
In base 16, what is -1d4 - 8?
-1dc
In base 4, what is -2 - -111?
103
In base 4, what is 31 - -33?
130
In base 4, what is 202 - -20010?
20212
In base 15, what is -18ee + 4?
-18ea
In base 5, what is -2240 + -32?
-2322
In base 14, what is 62 - 15?
4b
In base 10, what is 1520 + 0?
1520
In base 13, what is 8 - -34?
3c
In base 2, what is -10 + -10000000?
-10000010
In base 2, what is -1010001100 + 11?
-1010001001
In base 5, what is -3010 + 2?
-3003
In base 15, what is 27e3 + -4?
27de
In base 6, what is 3 - -521?
524
In base 8, what is -1 - 6570?
-6571
In base 2, what is 10001110111 + 11?
10001111010
In base 6, what is -23 + 11?
-12
In base 3, what is -121 + -121?
-1012
In base 8, what is 13 - 116?
-103
In base 5, what is -414310 - 0?
-414310
In base 9, what is -3685 - 2?
-3687
In base 6, what is 3 - 305?
-302
In base 15, what is 4b0 - 4?
4ab
In base 16, what is -3 - -1ed?
1ea
In base 10, what is -4 - 1042?
-1046
In base 6, what is -5 + -31?
-40
In base 14, what is -1 + 38?
37
In base 8, what is -1 + -31?
-32
In base 9, what is -38851 + -2?
-38853
In base 16, what is -2a - 2?
-2c
In base 16, what is 3 - -d4b?
d4e
In base 2, what is 1100 - -1100?
11000
In base 6, what is 20020 - 15?
20001
In base 14, what is d + -58d?
-580
In base 8, what is 5 + -63?
-56
In base 7, what is -263 - -4?
-256
In base 5, what is 12244 + 10?
12304
In base 7, what is 1141 + 2?
1143
In base 16, what is 295 + 5?
29a
In base 7, what is -6664 + 3?
-6661
In base 8, what is -15 - -362?
345
In base 13, what is -1b5 + 2?
-1b3
In base 2, what is -101101010 - -101?
-101100101
In base 10, what is -337 - -19?
-318
In base 12, what is -477 + 0?
-477
In base 6, what is 21304 - 0?
21304
In base 5, what is 402401 + 1?
402402
In base 4, what is -2013 + -31?
-2110
In base 6, what is -1 + -513?
-514
In base 8, what is 0 - 4?
-4
In base 5, what is -2220 - 0?
-2220
In base 4, what is 0 + -3300?
-3300
In base 15, what is 1c + -1ed?
-1d1
In base 10, what is 2 - -180?
182
In base 2, what is -10010101011110 - -10?
-10010101011100
In base 2, what is 1000 - 111?
1
In base 3, what is -210022212 + 10?
-210022202
In base 10, what is 4156 + 5?
4161
In base 13, what is -2 + 683?
681
In base 8, what is 4 - 2155?
-2151
In base 10, what is -10881 - 5?
-10886
In base 8, what is 0 + 52?
52
In base 7, what is -203 - -1?
-202
In base 12, what is -760a + 3?
-7607
In base 8, what is 657 - -46?
725
In base 2, what is 10000001101 + -1?
10000001100
In base 13, what is 1 - 9?
-8
In base 3, what is -102002001 + 2?
-102001222
In base 15, what is -4 + -30?
-34
In base 13, what is -1ab - 1?
-1ac
In base 14, what is -6d - 1?
-70
In base 15, what is 2ec0 - 4?
2ebb
In base 16, what is 256f + -3?
256c
In base 3, what is 2 + -12012?
-12010
In base 14, what is 0 + 124b?
124b
In base 3, what is -21221 - -1122?
-20022
In base 14, what is 11 + -5?
a
In base 2, what is -10 - -10111101?
10111011
In base 13, what is 2 - -394?
396
In base 8, what is -5 - 1315?
-1322
In base 6, what is 220 - -5?
225
In base 7, what is 15 - -13?
31
In base 6, what is -3543 + 3?
-3540
In base 9, what is 106477 + -1?
106476
In base 10, what is 203 - 11?
192
In base 14, what is -17 + -148?
-161
In base 16, what is 2 - 2e6?
-2e4
In base 16, what is -1 - 1e1?
-1e2
In base 6, what is -1 + 1114?
1113
In base 14, what is 54 + -57?
-3
In base 7, what is 5 - -3633?
3641
In base 2, what is 110111 - -1001?
1000000
In base 7, what is -424 - 40?
-464
In base 12, what is -2 - -a8?
a6
In base 9, what is 4 - -82?
86
In base 4, what is -111 - 11?
-122
In base 7, what is 43 - 30?
13
In base 15, what is 28b9 + -5?
28b4
In base 12, what is 137b + 3?
1382
In base 9, what is 2708 + 4?
2713
In base 3, what is 0 - 1121202?
-1121202
In base 2, what is -1010 + 1101011?
1100001
In base 12, what is 6 - -11?
17
In base 14, what is 20 - -1?
21
In base 15, what is 24b + -4?
247
In base 12, what is 2 - -8?
a
In base 9, what is 665 + -15?
650
In base 8, what is -10 + 114?
104
In base 16, what is -303 + -e?
-311
In base 10, what is -74 + -4?
-78
In base 9, what is 6 + 178?
185
In base 15, what is 30 + -4c?
-1c
In base 7, what is 30 + -22?
5
In base 14, what is 5 + 187?
18c
In base 7, what is 1 - -1300?
1301
In base 3, what is 21 + -2202?
-2111
In base 2, what is -101000010111 - -11?
-101000010100
In base 3, what is -2 + -102?
-111
In base 15, what is 2 + -1207?
-1205
In base 8, what is 5 - -640?
645
In base 2, what is -100 + 10?
-10
In base 13, what is -33 - b6?
-119
In base 12, what is 49 + -2?
47
In base 8, what is -6 - -133?
125
In base 9, what is 3 - 2513?
-2510
In base 5, what is 3 - -3423?
3431
In base 2, what is -101 - 1001111?
-1010100
In base 8, what is -720 - -2?
-716
In base 6, what is 205155 + -1?
205154
In base 12, what is -1a - -8?
-12
In base 15, what is -96 + 1?
-95
In base 5, what is -30 + 320?
240
In base 7, what is 2 - 310?
-305
In base 10, what is -4 - -9?
5
In base 16, what is -1f + 9?
-16
In base 6, what is -13514 + -1?
-13515
In base 10, what is 250 - 1?
249
In base 16, what is -64 + -3?
-67
In base 9, what is -2 + -1570?
-1572
In base 13, what is 3 - -151?
154
In base 5, what is 103314 + 10?
103324
In base 5, what is -1 - 132133?
-132134
In base 10, what is 5 + 19?
24
In base 6, what is -405 + -13?
-422
In base 15, what is -963 - 1?
-964
In base 15, what is 5 - -1c8?
1cd
In base 6, what is 2234 - 0?
2234
In base 7, what is -26 + -104?
-133
In base 6, what is 452 - 315?
133
In base 6, what is 4 - -112?
120
In base 5, what is -22 - -122?
100
In base 16, what is -1 + -d?
-e
In base 15, what is 0 - 1d5?
-1d5
In base 12, what is 6 - -48?
52
In base 5, what is 2103 - -10?
2113
In base 12, what is 3 + 3b0?
3b3
In base 10, what is -621 - -7?
-614
In base 12, what is -3a - 1?
-3b
In base 15, what is d5 + -9?
cb
In base 13, what is -292 + 3?
-28c
In base 5, what is 0 + 20?
20
In base 11, what is 4 - 306?
-302
In base 13, what is 1513 - 5?
150b
In base 12, what is 662 + -4?
65a
In base 4, what is -21 - -203?
122
In base 10, what is 54 - 1?
53
In base 15, what is -6b + 14?
-57
In base 5, what is 3 + -202031?
-202023
In base 4, what is 2 + 203?
211
In base 5, what is 41020 + 3?
41023
In base 9, what is -14 + -60?
-74
In base 5, what is -114 - 223?
-342
In base 11, what is a - 8?
2
In base 13, what is 41 - 3?
3b
In base 8, what is -3 - 6?
-11
In base 10, what is -8 + 3833?
3825
In base 9, what is -11 + 131?
120
In base 15, what is 74 - 5?
6e
In base 16, what is 201 - 17?
1ea
In base 16, what is 1097 - 1?
1096
In base 7, what is 31 - -203?
234
In base 6, what is -12 + 13?
1
In base 5, what is 2 + 2142?
2144
In base 3, what is 12 + 1121?
1210
In base 9, what is -4 + 0?
-4
In base 13, what is 0 + 54?
54
In base 11, what is -4 - -40?
37
In base 13, what is -41 - 51?
-92
In base 11, what is -3 + -260a?
-2612
In base 11, what is 2897 + 4?
28a0
In base 16, what is -2e1 - -4?
-2dd
In base 9, what is -2 + 25?
23
In base 10, what is -29 - -50?
21
In base 12, what is -17 + 134?
119
In base 12, what is 195 + -2?
193
In base 2, what is 1 + -1011?
-1010
In base 15, what is 9 + -20d?
-204
In base 14, what is 1 - 1587?
-1586
In base 15, what is -6 + 49d?
497
In base 12, what is -29 + -20?
-49
In base 8, what is -5 + 354?
347
In base 8, what is 14 + -16?
-2
In base 7, what is 122 + -2?
120
In base 5, what is 24240 + -2?
24233
In base 14, what is 2cc6 + 1?
2cc7
In base 3, what is -101101 + 1?
-101100
In base 7, what is 523 + -1?
522
In base 8, what is 23 + -2?
21
In base 5, what is -32 + 131?
44
In base 15, what is 1 - 201?
-200
In base 6, what is 3 - -103?
110
In base 4, what is -230 - 331?
-1221
In base 4, what is -1030 + -3?
-1033
In base 8, what is -15 + 160?
143
In base 4, what is 10 + -223021?
-223011
In base 13, what is -4 - cc?
-103
In base 4, what is -3 - 2?
-11
In base 12, what is -16 - -6?
-10
In base 7, what is 556 - 5?
551
In base 13, what is -85 - -10?
-75
In base 14, what is -11 - 105?
-116
In base 2, what is -101 - -11010110011?
11010101110
In base 12, what is -743 + 2?
-741
In base 2, what is -1011 + 110010101?
110001010
In base 14, what is -5 + c1?
ba
In base 11, what is 77 - 2?
75
In base 12, what is -1 - -2b62?
2b61
In base 4, what is 1 + -103313?
-10331
|
{
"pile_set_name": "DM Mathematics"
}
|
n base 9?
-1
Convert -12 (base 3) to base 13.
-5
Convert -1 (base 16) to base 3.
-1
-54 (base 10) to base 5
-204
Convert -97 (base 13) to base 8.
-174
-23 (base 12) to base 15
-1c
-233 (base 5) to base 7
-125
Convert -19 (base 15) to base 3.
-220
What is 0 (base 11) in base 8?
0
-222 (base 6) to base 16
-56
-222 (base 7) to base 4
-1302
What is 205 (base 6) in base 7?
140
17 (base 13) to base 10
20
What is -5 (base 7) in base 2?
-101
-6 (base 11) to base 8
-6
Convert 1222 (base 3) to base 11.
49
What is 9 (base 12) in base 6?
13
What is -10 (base 4) in base 7?
-4
Convert -7 (base 13) to base 14.
-7
What is 11 (base 5) in base 9?
6
-2 (base 9) to base 11
-2
41 (base 14) to base 11
52
-3 (base 5) to base 7
-3
-2 (base 7) to base 11
-2
What is 18 (base 12) in base 13?
17
Convert 14 (base 6) to base 3.
101
What is 0 (base 4) in base 11?
0
What is 2 (base 14) in base 10?
2
What is 213 (base 4) in base 11?
36
What is -60 (base 7) in base 11?
-39
Convert -1 (base 2) to base 3.
-1
1130 (base 5) to base 2
10100101
What is -2 (base 11) in base 9?
-2
What is 1 (base 16) in base 4?
1
45 (base 10) to base 14
33
-3 (base 6) to base 16
-3
What is -241 (base 5) in base 13?
-56
6 (base 16) to base 9
6
-9 (base 14) to base 9
-10
-11011 (base 3) to base 11
-a2
Convert 14 (base 8) to base 14.
c
Convert 46 (base 9) to base 15.
2c
What is 8 (base 13) in base 14?
8
-1 (base 7) to base 11
-1
What is 170 (base 9) in base 13?
b1
What is 147 (base 13) in base 8?
344
Convert 0 (base 9) to base 2.
0
Convert -5 (base 6) to base 2.
-101
Convert -126 (base 7) to base 9.
-76
Convert 34 (base 6) to base 14.
18
200 (base 3) to base 4
102
Convert 3 (base 7) to base 9.
3
What is 351 (base 9) in base 7?
562
What is -412 (base 5) in base 9?
-128
22 (base 15) to base 6
52
Convert -1a (base 11) to base 7.
-30
-8 (base 14) to base 10
-8
What is -24 (base 14) in base 8?
-40
-12 (base 13) to base 4
-33
41 (base 12) to base 9
54
What is 0 (base 12) in base 5?
0
Convert 17 (base 10) to base 6.
25
Convert -210 (base 6) to base 10.
-78
Convert 4 (base 14) to base 6.
4
0 (base 16) to base 11
0
32 (base 11) to base 4
203
-3202 (base 4) to base 16
-e2
What is -72 (base 14) in base 3?
-10201
What is 0 (base 8) in base 3?
0
What is 122 (base 14) in base 7?
442
Convert 11 (base 4) to base 12.
5
What is -6 (base 12) in base 4?
-12
-3 (base 10) to base 12
-3
-37 (base 9) to base 3
-1021
-100010 (base 2) to base 11
-31
Convert 15 (base 11) to base 14.
12
What is -d (base 14) in base 8?
-15
What is 202 (base 4) in base 16?
22
310 (base 7) to base 14
b0
-102 (base 4) to base 7
-24
Convert 4 (base 5) to base 8.
4
-15 (base 16) to base 15
-16
Convert 27 (base 15) to base 14.
29
-4 (base 6) to base 14
-4
Convert -16 (base 13) to base 2.
-10011
12 (base 6) to base 7
11
Convert -2 (base 3) to base 7.
-2
-43 (base 14) to base 8
-73
What is -28 (base 12) in base 6?
-52
What is 40 (base 5) in base 3?
202
-9 (base 12) to base 15
-9
Convert 62 (base 16) to base 4.
1202
-2 (base 12) to base 11
-2
What is 2 (base 5) in base 8?
2
Convert -134 (base 15) to base 16.
-112
Convert -100 (base 5) to base 8.
-31
-19 (base 13) to base 10
-22
What is 22 (base 8) in base 13?
15
What is 17b (base 14) in base 6?
1225
1 (base 10) to base 16
1
What is 98 (base 10) in base 12?
82
What is 59 (base 11) in base 5?
224
Convert -100010 (base 2) to base 13.
-28
-14 (base 15) to base 2
-10011
What is 4 (base 13) in base 6?
4
Convert -4 (base 7) to base 3.
-11
Convert -20 (base 10) to base 4.
-110
What is -1 (base 9) in base 6?
-1
What is -4 (base 5) in base 16?
-4
What is 12 (base 3) in base 15?
5
1a (base 14) to base 9
26
What is 103 (base 6) in base 2?
100111
Convert 1303 (base 5) to base 13.
128
What is 1 (base 2) in base 4?
1
23 (base 12) to base 5
102
Convert 1 (base 12) to base 10.
1
0 (base 13) to base 9
0
What is -c (base 15) in base 6?
-20
-2 (base 8) to base 13
-2
-6 (base 15) to base 6
-10
-11213 (base 4) to base 15
-18e
What is 26 (base 8) in base 13?
19
What is 1 (base 5) in base 11?
1
Convert 1100 (base 2) to base 12.
10
What is 1 (base 9) in base 8?
1
Convert 2 (base 13) to base 6.
2
What is -162 (base 8) in base 15?
-79
What is -50 (base 6) in base 10?
-30
-11112 (base 3) to base 9
-145
What is 8 (base 12) in base 8?
10
What is 213 (base 6) in base 11?
74
Convert 358 (base 9) to base 10.
296
Convert 100 (base 4) to base 6.
24
-10 (base 10) to base 2
-1010
What is -3 (base 5) in base 10?
-3
3 (base 14) to base 15
3
1202 (base 5) to base 2
10110001
What is -240 (base 5) in base 4?
-1012
What is -1a (base 14) in base 9?
-26
Convert 10 (base 2) to base 14.
2
Convert 15 (base 9) to base 10.
14
What is 223 (base 5) in base 3?
2100
What is 1 (base 8) in base 6?
1
0 (base 8) to base 14
0
What is 46 (base 11) in base 14?
38
What is -2 (base 16) in base 14?
-2
What is 181 (base 11) in base 4?
3102
18 (base 10) to base 4
102
Convert 2 (base 6) to base 9.
2
2 (base 12) to base 3
2
What is 0 (base 3) in base 10?
0
Convert 8 (base 13) to base 9.
8
Convert 163 (base 9) to base 4.
2022
Convert 2 (base 10) to base 15.
2
Convert -3 (base 6) to base 11.
-3
20 (base 14) to base 4
130
What is 1012 (base 3) in base 7?
44
What is 100111 (base 2) in base 12?
33
Convert 2 (base 8) to base 11.
2
What is -1 (base 3) in base 15?
-1
Convert -43 (base 9) to base 16.
-27
Convert -67 (base 9) to base 13.
-49
What is 3 (base 4) in base 16?
3
Convert -1 (base 16) to base 8.
-1
-8 (base 15) to base 4
-20
-d7 (base 15) to base 5
-1302
What is 5 (base 16) in base 12?
5
-3 (base 15) to base 9
-3
What is -4c (base 14) in base 3?
-2112
Convert -101 (base 4) to base 11.
-16
What is -14 (base 10) in base 15?
-e
Convert 33 (base 12) to base 2.
100111
-a8 (base 15) to base 4
-2132
-1 (base 8) to base 14
-1
What is -74 (base 9) in base 12?
-57
What is e (base 15) in base 12?
12
Convert -2 (base 12) to base 2.
-10
What is 1140 (base 6) in base 11?
231
3 (base 7) to base 5
3
-d (base 14) to base 7
-16
Convert -10 (base 10) to base 3.
-101
Convert -3 (base 4) to base 2.
-11
Convert ab (base 15) to base 14.
b7
-2 (base 14) to base 12
-2
Convert -102 (base 3) to base 11.
-10
What is 21 (base 6) in base 11?
12
-11 (base 11) to base 3
-110
What is -10100 (base 2) in base 15?
-15
Convert -5 (base 10) to base 9.
-5
What is 1 (base 15) in base 5?
1
What is 77 (base 12) in base 10?
91
Convert 3 (base 5) to base 3.
10
40 (base 5) to base 6
32
Convert -7 (base 15) to base 6.
-11
What is -2 (base 9) in base 5?
-2
What is 3 (base 13) in base 10?
3
What is -210 (base 4) in base 9?
-40
a (base 12) to base 10
10
What is 4 (base 5) in base 16?
4
Convert 2100 (base 3) to base 2.
111111
What is -101001001 (base 2) in base 10?
-329
Convert -3 (base 13) to base 12.
-3
-131 (base 8) to base 15
-5e
5 (base 11) to base 14
5
Convert 25 (base 7) to base 3.
201
49 (base 12) to base 8
71
Convert -8 (base 16) to base 9.
-8
93 (base 13) to base 2
1111000
-7 (base 12) to base 3
-21
Convert 3 (base 15) to base 4.
3
What is 2 (base 14) in base 5?
2
What is -1341 (base 5) in base 13?
-140
22 (base 5) to base 11
11
5 (base 9) to base 6
5
31 (base 10) to base 6
51
Convert -28 (base 13) to base 3.
-1021
Convert 20 (base 11) to base 7.
31
-2 (base 7) to base 12
-2
-2a (base 12) to base 10
-34
What is -a6 (base 14) in base 7?
-266
-17 (base 12) to base 3
-201
What is 19 (base 11) in base 16?
14
12 (base 12) to base 14
10
What is -15 (base 8) in base 7?
-16
What is -5 (base 14) in base 3?
-12
-2 (base 9) to base 12
-2
What is 3 (base 6) in base 2?
11
What is -6 (base 12) in base 10?
-6
Convert 16 (base 9) to base 8.
17
6 (base 13) to base 6
10
Convert 5 (base 10) to base 4.
11
What is 0 (base 5) in base 11?
0
Convert -1bb (base 12) to base 10.
-287
Convert 312 (base 5) to base 14.
5c
1113 (base 4) to base 15
5c
Convert -1 (base 8) to base 5.
-1
Convert 15 (base 12) to base 13.
14
What is -1 (base 11) in base 13?
-1
What is 19 (base 14) in base 8?
27
What is 10101 (base 3) in base 13?
70
1010111 (base 2) to base 4
1113
Convert -22 (base 9) to base 7.
-26
-45 (base 13) to base 7
-111
-44 (base 7) to base 12
-28
-111 (base 2) to base 5
-12
What is 11 (base 8) in base 9?
10
What is 0 (base 8) in base 16?
0
-2 (base 8) to base 14
-2
What is 0 (base 2) in base 13?
0
Convert 87 (base 10) to base 16.
57
What
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of 11247 and 123?
3
Calculate the greatest common divisor of 6657 and 129.
3
Calculate the highest common factor of 40 and 3167420.
20
Calculate the greatest common divisor of 638 and 11550.
22
What is the highest common factor of 130 and 546?
26
Calculate the highest common divisor of 73950 and 2320.
290
What is the greatest common factor of 2795 and 48633?
559
What is the greatest common divisor of 221018 and 14?
14
What is the greatest common factor of 143 and 248677?
143
Calculate the greatest common divisor of 27571 and 711.
79
What is the greatest common factor of 252 and 1175391?
63
Calculate the greatest common factor of 128106 and 612.
18
What is the highest common factor of 1050 and 8435175?
525
What is the highest common factor of 6 and 137247?
3
What is the greatest common factor of 96866 and 714?
238
Calculate the highest common factor of 586 and 1262.
2
What is the highest common factor of 483494 and 198?
22
What is the greatest common divisor of 6870 and 30?
30
What is the greatest common factor of 15288 and 2886?
78
Calculate the greatest common divisor of 217798 and 9870.
658
What is the greatest common divisor of 3042 and 304668?
234
Calculate the highest common factor of 69 and 10994.
23
Calculate the highest common factor of 28560 and 360.
120
What is the greatest common divisor of 580 and 2580?
20
Calculate the highest common factor of 2152656 and 144.
144
What is the greatest common divisor of 4 and 5275?
1
What is the greatest common divisor of 639 and 1521?
9
Calculate the greatest common divisor of 17365 and 224235.
755
Calculate the highest common factor of 6051 and 51.
3
Calculate the greatest common factor of 414 and 1008.
18
What is the highest common factor of 142944 and 480?
96
What is the greatest common divisor of 1136460 and 6240?
780
Calculate the highest common factor of 14745 and 30.
15
What is the highest common factor of 35 and 15316?
7
What is the highest common divisor of 2079 and 3199?
7
Calculate the greatest common factor of 3630 and 95280.
30
What is the highest common divisor of 3737 and 18483?
101
What is the greatest common divisor of 1699302 and 264?
66
Calculate the greatest common divisor of 32 and 447896.
8
What is the greatest common factor of 32130 and 1026?
54
Calculate the greatest common divisor of 14 and 167762.
14
Calculate the highest common factor of 680 and 5457.
17
Calculate the greatest common divisor of 903 and 2937459.
903
What is the highest common factor of 144 and 681072?
48
Calculate the highest common factor of 72587 and 319.
29
What is the greatest common divisor of 1328 and 1724?
4
Calculate the highest common factor of 93434 and 21142.
682
Calculate the highest common divisor of 2993 and 7519.
73
Calculate the highest common divisor of 57 and 73443.
3
What is the highest common factor of 232408 and 834?
278
Calculate the greatest common divisor of 25 and 198425.
25
What is the greatest common factor of 14 and 6937?
7
Calculate the greatest common factor of 1990064 and 24.
8
What is the highest common factor of 80 and 6192?
16
Calculate the greatest common divisor of 47045 and 27645.
485
What is the highest common divisor of 1280 and 13056?
256
What is the greatest common factor of 16470 and 1350?
270
What is the greatest common divisor of 344 and 388536?
8
What is the greatest common factor of 60 and 132168?
12
What is the greatest common divisor of 35 and 400470?
35
Calculate the highest common factor of 86076 and 81.
27
What is the greatest common divisor of 1128 and 53204?
188
What is the greatest common divisor of 780185 and 10?
5
Calculate the highest common factor of 151738 and 4.
2
Calculate the greatest common factor of 468 and 878436.
468
Calculate the greatest common divisor of 19918 and 17320.
866
Calculate the highest common factor of 63877 and 11.
11
Calculate the greatest common divisor of 1709 and 1.
1
What is the greatest common factor of 2850 and 6441?
57
Calculate the greatest common divisor of 5 and 319205.
5
Calculate the highest common factor of 217756 and 2464.
308
What is the greatest common divisor of 250 and 29075?
25
Calculate the highest common divisor of 10 and 305770.
10
Calculate the highest common factor of 21425 and 50.
25
Calculate the greatest common factor of 1793 and 1304.
163
Calculate the greatest common factor of 83611 and 11.
11
What is the highest common factor of 1512 and 486648?
216
Calculate the highest common divisor of 25988 and 9782.
146
What is the highest common divisor of 29 and 84593?
29
Calculate the greatest common divisor of 62 and 7036318.
62
Calculate the highest common factor of 9276 and 36.
12
Calculate the highest common factor of 5 and 19025.
5
What is the greatest common factor of 1141 and 26080?
163
Calculate the greatest common divisor of 396070 and 2.
2
Calculate the highest common factor of 4 and 844836.
4
Calculate the greatest common factor of 4320 and 22608.
144
Calculate the greatest common divisor of 2554 and 226.
2
Calculate the highest common factor of 2584 and 836.
76
What is the greatest common factor of 1560 and 839436?
156
Calculate the greatest common factor of 42 and 34167.
21
What is the highest common factor of 15904 and 1792?
224
Calculate the highest common factor of 3597 and 24.
3
What is the greatest common factor of 10557 and 143451?
621
What is the highest common factor of 70 and 6191010?
70
What is the greatest common factor of 308687 and 467?
467
Calculate the greatest common factor of 34160 and 30.
10
What is the highest common factor of 18 and 164673?
9
Calculate the highest common factor of 233318 and 86.
86
What is the greatest common factor of 474 and 1185?
237
Calculate the highest common factor of 2244 and 1410252.
204
Calculate the highest common divisor of 63830 and 1040.
130
Calculate the highest common divisor of 147640 and 200.
40
Calculate the highest common factor of 1545 and 2145.
15
What is the greatest common divisor of 444576 and 2112?
1056
What is the greatest common divisor of 52318 and 407?
37
What is the greatest common factor of 11536 and 512?
16
Calculate the highest common factor of 743360 and 240.
80
What is the greatest common factor of 350 and 34150?
50
What is the highest common divisor of 153 and 5532633?
153
What is the greatest common divisor of 372870 and 420?
30
What is the highest common divisor of 8892564 and 68?
68
What is the highest common divisor of 22538 and 826?
118
Calculate the greatest common factor of 978 and 118338.
978
Calculate the highest common divisor of 2104 and 359258.
526
Calculate the greatest common factor of 24775 and 67388.
991
What is the highest common factor of 82161 and 3672?
459
What is the greatest common factor of 3069 and 2601?
9
What is the greatest common divisor of 145175 and 2?
1
What is the highest common divisor of 2110 and 33338?
422
Calculate the greatest common divisor of 7554 and 750.
6
Calculate the highest common factor of 4117 and 1611.
179
Calculate the highest common factor of 930922 and 398.
398
Calculate the greatest common factor of 220283 and 14.
7
What is the greatest common factor of 36 and 322614?
18
Calculate the greatest common divisor of 350 and 264775.
175
Calculate the highest common factor of 27 and 7084827.
27
Calculate the highest common divisor of 23106 and 12.
6
What is the highest common factor of 290 and 297240?
10
What is the highest common divisor of 8157 and 6?
3
What is the greatest common divisor of 1254 and 31372?
22
What is the greatest common factor of 53838 and 22931?
997
Calculate the greatest common factor of 48296 and 40.
8
Calculate the greatest common factor of 370383 and 312.
39
Calculate the greatest common divisor of 201391 and 333.
37
What is the highest common factor of 718 and 82929?
359
Calculate the highest common factor of 16798 and 64.
2
Calculate the greatest common factor of 143 and 508391.
13
Calculate the greatest common divisor of 574 and 763994.
574
Calculate the highest common factor of 258523 and 4609.
419
Calculate the greatest common factor of 4360648 and 794.
794
Calculate the highest common divisor of 394 and 29747.
197
Calculate the highest common divisor of 1035 and 46395.
45
What is the highest common divisor of 2075 and 180875?
25
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
prime number?
False
Is 25577 prime?
True
Is 6619 composite?
False
Is 496051 a composite number?
False
Is 91209 prime?
False
Is 25727 prime?
False
Is 7817 composite?
False
Is 107335 composite?
True
Is 5807 a composite number?
False
Is 10037 a prime number?
True
Is 1009097 a prime number?
True
Is 10909 a composite number?
False
Is 783949 a composite number?
True
Is 6997 composite?
False
Is 365669 prime?
True
Is 32459 composite?
True
Is 77383 prime?
True
Is 486503 composite?
False
Is 408599 composite?
True
Is 65749 a composite number?
True
Is 8663 prime?
True
Is 240083 composite?
True
Is 14669 composite?
False
Is 10727 composite?
True
Is 31469 a composite number?
False
Is 38523 prime?
False
Is 415594 composite?
True
Is 3163 a composite number?
False
Is 49571 a composite number?
True
Is 222329 composite?
False
Is 36169 a prime number?
False
Is 191703 a prime number?
False
Is 245849 a composite number?
False
Is 230837 a prime number?
False
Is 3061 a composite number?
False
Is 35671 a prime number?
True
Is 16493 a prime number?
True
Is 2360827 prime?
False
Is 517255 composite?
True
Is 1953767 prime?
True
Is 266797 prime?
True
Is 1329 composite?
True
Is 124513 a composite number?
False
Is 615661 a prime number?
True
Is 91417 prime?
False
Is 22367 a composite number?
False
Is 45665 composite?
True
Is 1203 prime?
False
Is 118705 composite?
True
Is 144083 a composite number?
True
Is 96891 prime?
False
Is 1511 prime?
True
Is 5497 prime?
False
Is 223165 composite?
True
Is 90107 composite?
False
Is 171827 prime?
True
Is 865043 a prime number?
True
Is 7069 prime?
True
Is 282019 prime?
True
Is 58477 a composite number?
False
Is 103451 prime?
True
Is 193243 a prime number?
True
Is 128487 a composite number?
True
Is 8287 a prime number?
True
Is 89753 a prime number?
True
Is 152962 a prime number?
False
Is 68959 a composite number?
True
Is 25882 prime?
False
Is 635 a prime number?
False
Is 79889 composite?
False
Is 8741 composite?
False
Is 46399 a prime number?
True
Is 112321 prime?
False
Is 120473 composite?
False
Is 183346 prime?
False
Is 400103 composite?
True
Is 155593 a composite number?
False
Is 88797 prime?
False
Is 18267 a prime number?
False
Is 1567607 prime?
True
Is 39041 composite?
False
Is 19207 a prime number?
True
Is 201523 composite?
True
Is 234401 a prime number?
False
Is 22367 a composite number?
False
Is 10211 a composite number?
False
Is 48281 composite?
False
Is 1352279 composite?
False
Is 195311 a prime number?
True
Is 17337 prime?
False
Is 572561 composite?
True
Is 7561 composite?
False
Is 33457 a prime number?
True
Is 8929 prime?
True
Is 150931 a prime number?
False
Is 81349 prime?
True
Is 2609 a prime number?
True
Is 7814 a composite number?
True
Is 1203 a composite number?
True
Is 92465 prime?
False
Is 8403 prime?
False
Is 9133 a prime number?
True
Is 8551 prime?
False
Is 12457 a prime number?
True
Is 2861 prime?
True
Is 6113 composite?
False
Is 2582281 composite?
True
Is 7177 a prime number?
True
Is 597473 composite?
False
Is 41159 prime?
False
Is 122021 prime?
True
Is 202133 a composite number?
True
Is 15131 prime?
True
Is 367 a prime number?
True
Is 115631 a composite number?
False
Is 1315 prime?
False
Is 522109 composite?
True
Is 79621 a composite number?
False
Is 529009 a composite number?
True
Is 28739 a prime number?
False
Is 9253 prime?
False
Is 7769 a prime number?
False
Is 115201 a composite number?
False
Is 4828049 prime?
True
Is 15815 prime?
False
Is 40343 composite?
False
Is 7235 a prime number?
False
Is 703 a prime number?
False
Is 39167 composite?
True
Is 52643 a composite number?
True
Is 294977 a composite number?
True
Is 13045 a prime number?
False
Is 9377 a prime number?
True
Is 700457 composite?
True
Is 11863 composite?
False
Is 233119 prime?
False
Is 8131 a composite number?
True
Is 118933 composite?
True
Is 135791 prime?
False
Is 263785 prime?
False
Is 704347 composite?
True
Is 699263 a composite number?
True
Is 121795 prime?
False
Is 66277 a prime number?
False
Is 373435 a prime number?
False
Is 568559 a composite number?
True
Is 63887 composite?
True
Is 317881 a prime number?
False
Is 57571 a prime number?
True
Is 1847 composite?
False
Is 719029 a composite number?
True
Is 194603 a composite number?
True
Is 185593 composite?
False
Is 257 a composite number?
False
Is 30669 a prime number?
False
Is 61319 composite?
True
Is 1143661 a prime number?
True
Is 32491 composite?
False
Is 32347 prime?
False
Is 99103 a prime number?
True
Is 4997 a prime number?
False
Is 325709 a prime number?
True
Is 198451 prime?
False
Is 24571 a prime number?
True
Is 52249 a composite number?
False
Is 2833 prime?
True
Is 24437 prime?
False
Is 754651 a composite number?
False
Is 1798061 prime?
False
Is 29239 a prime number?
False
Is 18617 a prime number?
True
Is 287731 composite?
False
Is 2591 a prime number?
True
Is 42683 a prime number?
True
Is 784009 a prime number?
True
Is 37459 prime?
False
Is 47327 prime?
False
Is 81839 a prime number?
True
Is 796517 composite?
False
Is 4835 a composite number?
True
Is 5905 composite?
True
Is 793151 a composite number?
True
Is 12959 a composite number?
False
Is 265 a composite number?
True
Is 87179 a prime number?
True
Is 1931 composite?
False
Is 19561 composite?
True
Is 82867 a prime number?
False
Is 84263 a composite number?
False
Is 1031213 a prime number?
False
Is 27205 a composite number?
True
Is 29591 composite?
True
Is 6761 a composite number?
False
Is 411634 prime?
False
Is 123973 composite?
False
Is 588023 composite?
True
Is 2203 composite?
False
Is 128213 prime?
True
Is 16561 prime?
True
Is 1285 a prime number?
False
Is 159721 a prime number?
True
Is 1230863 composite?
False
Is 2773 a prime number?
False
Is 22339 prime?
False
Is 322997 a prime number?
True
Is 27161 a composite number?
True
Is 4835 composite?
True
Is 123779 composite?
True
Is 2531 a prime number?
True
Is 8039 a prime number?
True
Is 104579 a prime number?
True
Is 521387 prime?
False
Is 3409603 a composite number?
False
Is 4507 composite?
False
Is 19641 a composite number?
True
Is 2729 a prime number?
True
Is 14803 prime?
False
Is 11201 prime?
False
Is 486071 prime?
True
Is 989623 prime?
True
Is 167182 composite?
True
Is 104569 a prime number?
False
Is 4045 composite?
True
Is 920921 prime?
True
Is 127781 a prime number?
True
Is 280138 a composite number?
True
Is 164129 composite?
True
Is 316493 a prime number?
True
Is 4559 a composite number?
True
Is 252907 a prime number?
False
Is 12953 a composite number?
False
Is 96353 a composite number?
False
Is 33691 a composite number?
True
Is 65249 prime?
False
Is 1837111 prime?
False
Is 12929 a composite number?
True
Is 167953 a composite number?
False
Is 17159 a composite number?
False
Is 29717 composite?
False
Is 5669 composite?
False
Is 2167 a prime number?
False
Is 41893 a composite number?
False
Is 411 prime?
False
Is 114667 a composite number?
True
Is 47935 prime?
False
Is 60017 a composite number?
False
Is 13027 prime?
False
Is 121453 a prime number?
True
Is 309797 a prime number?
True
Is 149087 a composite number?
False
Is 6311 a prime number?
True
Is 63277 composite?
False
Is 413381 composite?
True
Is 30017 a composite number?
True
Is 664397 a prime number?
False
Is 4177 composite?
False
Is 15905 prime?
False
Is 770207 a prime number?
True
Is 714061 composite?
False
Is 12989 a composite number?
True
Is 9637 composite?
True
Is 56099 prime?
True
Is 38939 composite?
True
Is 17455 a composite number?
True
Is 111143 a composite number?
False
Is 10417 composite?
True
Is 873331 prime?
True
Is 36221 a composite number?
True
Is 6739 a composite number?
True
Is 6337 composite?
False
Is 55163 a composite number?
False
Is 173861 a composite number?
False
Is 98117 a prime number?
False
Is 162497 composite?
True
Is 287783 a composite number?
False
Is 253717 a prime number?
True
Is 24953 prime?
True
Is 50035 a prime number?
False
Is 7373 prime?
False
Is 2317 a prime number?
False
Is 1288487 prime?
True
Is 57621 a prime number?
False
Is 125661 composite?
True
Is 1648181 prime?
True
Is 771 a prime number?
False
Is 289837 prime?
True
Is 22271 composite?
False
Is 11545 a composite number?
True
Is 11887 composite?
False
Is 696515 composite?
True
Is 48959 composite?
True
Is 25663 composite?
T
|
{
"pile_set_name": "DM Mathematics"
}
|
z(y) = 2*y + 1. Let d(n) = 2*n + 2. Let p be 1*2 + (2 - 1). Calculate j*z(c) + p*d(c).
-2*c + 2
Let z(q) = -91*q. Let x(c) = 183*c. What is 6*x(j) + 11*z(j)?
97*j
Let d(y) = 7*y**2 + 3*y. Let b(o) = -21*o**2 - 9*o. What is -2*b(a) - 7*d(a)?
-7*a**2 - 3*a
Let d(a) = -7 + 20 - a - 7. Let l(x) = 5*x**2 - x. Let o be l(-1). Let t(z) be the second derivative of z**3/6 - 5*z**2/2 + 4*z. Give o*t(j) + 5*d(j).
j
Let i(b) = 36*b**3 + 27*b**2 - 15*b + 15. Let r(g) = 5*g**3 + 4*g**2 - 2*g + 2. What is -2*i(n) + 15*r(n)?
3*n**3 + 6*n**2
Suppose -4*b + 40 = -0*b. Let p(c) = -2*c - 5. Let q(k) be the first derivative of 2 - 1/2*k**2 - 2*k. Determine b*q(g) - 4*p(g).
-2*g
Let n(w) = w - 1. Let p(q) = q + 2. Let o be p(-5). Let j(h) = -h + 2. Give o*n(b) - 4*j(b).
b - 5
Let c(l) = -l**2 + l - 1. Let g(x) = -8*x**2 + 7*x - 7. Let q be 3 + (16/12)/(4/(-18)). Give q*g(d) + 21*c(d).
3*d**2
Let p(f) = -f + 1. Suppose -7*g + 15 = -2*g. Let q(y) = -4 + 2*y + g*y + 0*y. What is 4*p(j) + q(j)?
j
Suppose 5*g = 24 - 4. Suppose -g*n - 9 = -n. Let s(p) = p**3 - p**2 + p. Let b(u) = -5*u**3 + 4*u**2 - 5*u. Give n*s(l) - b(l).
2*l**3 - l**2 + 2*l
Let d(u) be the third derivative of -u**5/60 - 7*u**4/24 - 2*u**3/3 - 6*u**2. Let m(w) = 2*w**2 + 15*w + 9. Determine 13*d(v) + 6*m(v).
-v**2 - v + 2
Let f(s) = s**3 + 3*s**2 + 3. Let g(y) = 4*y**3 + 10*y**2 + 10. What is 7*f(u) - 2*g(u)?
-u**3 + u**2 + 1
Let m(z) = 2*z**2 + 3*z + 3. Let t(s) = -s + 8. Let d be t(7). Let n = -3 + d. Let x(y) = -2*y**2 - 2*y - 2. What is n*m(o) - 3*x(o)?
2*o**2
Let q(t) be the third derivative of t**4/12 + 32*t**2. Let c(a) = -3*a. Calculate -3*c(s) - 7*q(s).
-5*s
Let j(q) = -6*q - 4. Let d(m) = 4*m + 3. Suppose -2*f + 28 = -5*g + f, 2*g + 13 = 3*f. Determine g*j(w) - 8*d(w).
-2*w - 4
Let h(b) = -b - 8. Let n(u) = -2*u - 15. What is -5*h(r) + 2*n(r)?
r + 10
Let h(c) = 8*c - 12. Let z(g) = -9*g + 13. Determine 7*h(u) + 6*z(u).
2*u - 6
Let u(n) = 10*n - 4. Let r be u(1). Let k(i) = 4*i - 7*i**2 + i + 0*i. Let b(l) = 8*l**2 - 6*l. Determine r*k(v) + 5*b(v).
-2*v**2
Let m(b) = -2*b**3 - 2*b**2 - 1. Let i(v) = 2*v**3 + 3*v**2 + 1. Calculate 2*i(o) + 3*m(o).
-2*o**3 - 1
Let d(x) = 11*x**3 + 9*x + 9. Let f(k) be the first derivative of 5*k**4/4 + 2*k**2 + 4*k - 6. Calculate -4*d(o) + 9*f(o).
o**3
Let j(s) = 4*s + 0*s + 7*s**3 - 8 - 5*s + 11. Let l(q) = 3*q**3 + 1. Determine 2*j(p) - 5*l(p).
-p**3 - 2*p + 1
Let k = -6 - -3. Suppose s + 21 = 4*y, 5*y - 30 = 2*s - 0*s. Let h(v) = 6*v**3 - 5*v**2 - 4*v. Let m(r) = 5*r**3 - 4*r**2 - 3*r. Give k*h(l) + y*m(l).
2*l**3 - l**2
Let r(v) = 5*v**3 + 6*v**2 - 4*v + 2. Let n(i) = -4*i**3 - 5*i**2 + 3*i - 1. Suppose -1 = -p - 3*w + 1, 0 = -3*p - w - 10. Determine p*n(b) - 3*r(b).
b**3 + 2*b**2 - 2
Let j(s) = 7*s**3 + 100*s + 5. Let x(t) = -3*t**3 - 50*t - 2. Calculate -2*j(v) - 5*x(v).
v**3 + 50*v
Let a(d) = 1. Let z(b) be the third derivative of 0 + 1/24*b**4 + 0*b - 2/3*b**3 - 3*b**2. Determine -5*a(h) - z(h).
-h - 1
Let h(i) = -i**2 - 1. Let q(w) = 12*w**2 + 6*w - 3. Let b(o) = -2*h(o) - q(o). Let y(p) = 2*p**2 + p - 1. Give 2*b(k) + 11*y(k).
2*k**2 - k - 1
Let c(m) = -150*m**3 + 12*m**2 - 60*m + 12. Let o(x) = x**3 + x**2 - x + 1. Let t(g) = c(g) - 12*o(g). Let r(v) = 17*v**3 + 5*v. Give -48*r(d) - 5*t(d).
-6*d**3
Let q(x) = x. Let t be q(3). Suppose 2*i = 5*s + 33, 0 = s + 4*i - t - 8. Let r(u) = 3*u - 5. Let f(a) = 3*a - 6. Calculate s*r(k) + 4*f(k).
-3*k + 1
Let n(w) = 6*w**3 + 5*w**2 - 2*w - 3. Let c(k) = 7*k**3 + 6*k**2 - 2*k - 4. Determine -5*c(x) + 6*n(x).
x**3 - 2*x + 2
Let d(a) = -a**2 - 2*a + 1. Let l(u) = 2*u**2 + 5*u - 2. What is -5*d(i) - 2*l(i)?
i**2 - 1
Let r(a) = -4*a - 10. Let l(f) = 3*f + 10. What is -5*l(o) - 4*r(o)?
o - 10
Let m(n) = 13*n**3 - 11*n**2 - 11. Let r(k) = 7*k**3 - 6*k**2 - 6. Suppose -82 = -6*c - 16. Calculate c*r(y) - 6*m(y).
-y**3
Let n = 16 + -10. Let f(j) = -n*j + 9*j - 8*j + 5. Suppose -6 - 6 = -2*w. Let v(i) = i - 1. Give w*v(a) + f(a).
a - 1
Let f(m) = -m**2 - 1. Let k(v) = 7*v**2 - 2*v + 6. Let r(g) = -g - 1. Let y be r(-4). Suppose -3*j - 7 = 5*n, -3*j + 7*n = y*n - 38. Calculate j*f(d) + k(d).
d**2 - 2*d
Let g be 2/15 + (-73)/(-15). Let q = 4 - 2. Suppose 3*c = -2*o - 17, -3*o + q*c + 18 = -6*o. Let y(w) = w + 6. Let i(f) = f + 7. What is g*y(z) + o*i(z)?
z + 2
Let l(f) = 2*f - 4. Let k(z) = 3*z - 7. Calculate 6*k(x) - 10*l(x).
-2*x - 2
Let g(o) = -110*o**2 + 45*o + 45. Let m(a) = -10*a**2 + 4*a + 4. Give 4*g(z) - 45*m(z).
10*z**2
Suppose 7*w = 5*w - k - 1, -3*w = -k + 4. Let j(d) = -d**2. Let m(t) = -7*t**2 - 2*t. Calculate w*m(r) + 6*j(r).
r**2 + 2*r
Let d(t) = 161*t + 28. Let h(q) = -18*q - 3. What is 3*d(o) + 28*h(o)?
-21*o
Let m(a) = 7*a**2 - 77*a + 40*a + 29*a - 1. Let u be ((-2)/4)/((-2)/4). Let t(p) = p**2 - p. What is u*m(b) - 6*t(b)?
b**2 - 2*b - 1
Let c(m) = 3*m**2 - 2*m - 11. Let j(v) = -v**2 - 1. Let z(n) = -c(n) + 5*j(n). Let q(o) = 7*o**2 - 2*o - 5. Suppose 10*w - 60 = -2*w. Determine w*z(i) + 6*q(i).
2*i**2 - 2*i
Let s = -6 - -11. Let c(j) = -3*j + s*j**2 - 3 - j**2 + 0. Let d(l) = 11*l**2 - 8*l - 8. What is -8*c(q) + 3*d(q)?
q**2
Let m(l) = 3*l - 1. Let k be m(2). Let z(q) be the second derivative of -3*q**4/4 + 5*q**3/6 + q. Let s(r) = -14*r**2 + 8*r. What is k*s(a) - 8*z(a)?
2*a**2
Let j = -5 + -4. Let b = j + 14. Let n(w) = 4*w**3 - 3*w**2 - 3*w - 2. Let u(z) = 7*z**3 - 5*z**2 - 5*z - 4. Determine b*n(i) - 3*u(i).
-i**3 + 2
Let h(n) = 7. Let w(z) = z + 6. Calculate 4*h(i) - 5*w(i).
-5*i - 2
Suppose 0 = -2*m + 14 + 4. Let o(b) = -13. Let t(l) = -6. Let k(h) = m*t(h) - 4*o(h). Let y(i) = -i + 1. Calculate -k(d) - y(d).
d + 1
Let u(m) = -8*m**3 - 6*m**2 - 10*m - 7. Let v(k) = -5*k**3 - 4*k**2 - 7*k - 5. What is -5*u(t) + 7*v(t)?
5*t**3 + 2*t**2 + t
Let b(y) = y**2 - 40*y + 78*y + 6 - 37*y. Let o(t) = -1. Determine -b(x) - 4*o(x).
-x**2 - x - 2
Let s(f) = 7 - 12 + 9*f + 2 - 2*f**2 - 6*f - 6*f. Let m(j) = j + 6. Let c be m(-4). Let l(i) = -c*i - 5*i + 3*i - 4 - 2*i**2. Calculate -3*l(p) + 4*s(p).
-2*p**2
Let i(z) = -4*z**3 - 5*z**2 - z + 3. Let g(b) = -b**3 - b**2 + 1. Let w = 4 - 1. Give w*g(l) - i(l).
l**3 + 2*l**2 + l
Let s(r) = -r**2 + 6*r - 5. Let y be s(4). Let z(v) = y*v - 5 + v - v. Let x(j) = -2*j + 3. Let k(p) = -2*p + 5. Let w be k(4). What is w*z(b) - 5*x(b)?
b
Let f(m) = 3*m**3 + 4. Let g(u) = -2*u**3 + 2*u - 3. Let s(r) = -2*r. Let l(b) = -g(b) - s(b). Let z be 3*((-4)/(-6) - 2). What is z*l(a) + 3*f(a)?
a**3
Let t(w) = 10*w**2 - 4*w + 4. Let y(n) = 11*n**2 - 3*n + 3. What is -3*t(g) + 4*y(g)?
14*g**2
Let g(t) = t. Let d(f) = 2*f**3 + f**2 - 7*f. Let x(q) = -3*q**3 - q**2 + 13*q. Let l(a) = 5*d(a) + 3*x(a). Give 6*g(o) - l(o).
-o**3 - 2*o**2 + 2*o
Let p(b) = b**3 - b**2 - b - 1. Let y(v) = -27*v**3 + 9*v**2 + 9*v + 9. Determine -9*p(c) - y(c).
18*c**3
Let v(z) = -8*z**3 - 7*z**2 - 1. Let f(x) = 3*x**3 + 2*x**2. Determine 7*f(l) + 2*v(l).
5*l**3 - 2
Let n = 0 + -3. Let q(k) = 9*k**3 - 3*k**2 + 7*k. Let a(y) = 4*y**3 - y**2 + 3*y. What is n*q(c) + 7*a(c)?
c**3 + 2*c**2
Let s(v) = 9*v. Suppose -i + 0*r + 14 = -2*r, -3*i = r - 7. Let y(h) = -h - 1. Let g(k) = 4*k + 3. Let w(a) = i*g(a) + 12*y(a). Give 6*s(l) - 14*w(l).
-2*l
Let o(m) = -m. Let u(f) = -2. Let k(n) = 3. Let a(r) = -3*k(r) - 5*u(r). Suppose v - 5*c = -11, -4 - 5 = -v - 5*c. Calculate v*o(p) + a(p).
p + 1
Let r(f) be the third derivative of f**5/12 + f**4/12 + f**3/6 - 4*f**2. Let h(o) = 6*o**2 + 2*o + 1. Determine -4*h(n) + 5*r(n).
n**2 + 2*n + 1
Let h(t) = -4*t**3 + 9*t**2 + 13*t - 4. Let k(g) = g + 3. Let q be k(-7). Let r(w) = -2*w**3 + 4*w**2 + 6*w - 2. Determine q*h(u) + 9*r(u).
-2*u**3 + 2*u - 2
Let y(r) = 2*r**2 - 7*r - 6. Let w(x) = -6 + 2*x + 2*x**2 - 8*x + 2 - 1. Suppose 15 = -5*p + 5*m, -5*m + 13 = -4*p - 2*m. What is p*y(f) + 5*w(f)?
2*f**2 - 2*f - 1
Let k(d) = 14*d**2 + 7*d. Let y(s) = -5*s**2 - 2*s. Give 2*k(v) + 7*y(v).
-7*v**2
Let d be 6 + (4 - 6) + (-4 - -1). Suppose 0*m - 25 = 3*f + 5*m, m + 7 = -f. Let c(n) = 6*n**2 - 6*n - 1. Let l(p) = p**2 - p. Determine d*c(u) + f*l(u).
u**2 - u - 1
Let q(f) = -3*f**2 + 7*f - 3. Suppose -3*g + 2 = 8. Let b(h) = 2*h**2 - 1. Let n be b(g). Let x(u) = -2*u**2 + 5*u - 2. Determine n*x(v) - 5*q(v).
v**2 + 1
Let u(o) = 1. Let m(c) = -c - 2. Let n(s) = -m(s) - u(s). Let r(h) = -6*h
|
{
"pile_set_name": "DM Mathematics"
}
|
oot of 79072 to the nearest integer?
281
What is the sixth root of 18374 to the nearest integer?
5
What is the third root of 16339 to the nearest integer?
25
What is the cube root of 1626 to the nearest integer?
12
What is 7456 to the power of 1/2, to the nearest integer?
86
What is the cube root of 2544 to the nearest integer?
14
What is the square root of 245 to the nearest integer?
16
What is the fourth root of 6595 to the nearest integer?
9
What is 12723 to the power of 1/2, to the nearest integer?
113
What is 8880 to the power of 1/7, to the nearest integer?
4
What is the sixth root of 25592 to the nearest integer?
5
What is the cube root of 76 to the nearest integer?
4
What is the cube root of 41670 to the nearest integer?
35
What is the fifth root of 2235 to the nearest integer?
5
What is the third root of 841 to the nearest integer?
9
What is the cube root of 50814 to the nearest integer?
37
What is the square root of 121529 to the nearest integer?
349
What is the square root of 2368 to the nearest integer?
49
What is 132 to the power of 1/3, to the nearest integer?
5
What is the third root of 8272 to the nearest integer?
20
What is 4195 to the power of 1/2, to the nearest integer?
65
What is 122622 to the power of 1/2, to the nearest integer?
350
What is 419 to the power of 1/9, to the nearest integer?
2
What is 1748 to the power of 1/3, to the nearest integer?
12
What is the cube root of 7282 to the nearest integer?
19
What is the ninth root of 3849 to the nearest integer?
3
What is 75037 to the power of 1/2, to the nearest integer?
274
What is the eighth root of 1346 to the nearest integer?
2
What is the ninth root of 4264 to the nearest integer?
3
What is 93084 to the power of 1/2, to the nearest integer?
305
What is the square root of 67716 to the nearest integer?
260
What is 10261 to the power of 1/4, to the nearest integer?
10
What is the square root of 10227 to the nearest integer?
101
What is the cube root of 1390 to the nearest integer?
11
What is the cube root of 60697 to the nearest integer?
39
What is 902 to the power of 1/7, to the nearest integer?
3
What is the fourth root of 4556 to the nearest integer?
8
What is 1287 to the power of 1/9, to the nearest integer?
2
What is 11490 to the power of 1/9, to the nearest integer?
3
What is the square root of 129573 to the nearest integer?
360
What is the eighth root of 382 to the nearest integer?
2
What is the cube root of 31301 to the nearest integer?
32
What is the square root of 1378 to the nearest integer?
37
What is the eighth root of 29643 to the nearest integer?
4
What is the square root of 10741 to the nearest integer?
104
What is 7067 to the power of 1/2, to the nearest integer?
84
What is the cube root of 2307 to the nearest integer?
13
What is 61465 to the power of 1/2, to the nearest integer?
248
What is the ninth root of 1785 to the nearest integer?
2
What is the ninth root of 170002 to the nearest integer?
4
What is 1673 to the power of 1/8, to the nearest integer?
3
What is 558 to the power of 1/2, to the nearest integer?
24
What is the square root of 40388 to the nearest integer?
201
What is the cube root of 8042 to the nearest integer?
20
What is 456 to the power of 1/3, to the nearest integer?
8
What is the cube root of 28045 to the nearest integer?
30
What is 61 to the power of 1/3, to the nearest integer?
4
What is the square root of 776 to the nearest integer?
28
What is 109261 to the power of 1/2, to the nearest integer?
331
What is the square root of 5077 to the nearest integer?
71
What is the sixth root of 2195 to the nearest integer?
4
What is 13663 to the power of 1/3, to the nearest integer?
24
What is 190 to the power of 1/9, to the nearest integer?
2
What is the sixth root of 44733 to the nearest integer?
6
What is the fifth root of 151360 to the nearest integer?
11
What is the third root of 5471 to the nearest integer?
18
What is the ninth root of 3135 to the nearest integer?
2
What is 1081 to the power of 1/2, to the nearest integer?
33
What is the square root of 2256 to the nearest integer?
47
What is the tenth root of 3414 to the nearest integer?
2
What is the third root of 2637 to the nearest integer?
14
What is the third root of 43616 to the nearest integer?
35
What is 12427 to the power of 1/6, to the nearest integer?
5
What is 4071 to the power of 1/3, to the nearest integer?
16
What is the third root of 48601 to the nearest integer?
36
What is the square root of 49023 to the nearest integer?
221
What is the square root of 12541 to the nearest integer?
112
What is 12245 to the power of 1/9, to the nearest integer?
3
What is 95688 to the power of 1/2, to the nearest integer?
309
What is the square root of 5936 to the nearest integer?
77
What is the fifth root of 12881 to the nearest integer?
7
What is the eighth root of 17569 to the nearest integer?
3
What is the cube root of 265 to the nearest integer?
6
What is the fifth root of 2199 to the nearest integer?
5
What is the ninth root of 218 to the nearest integer?
2
What is the seventh root of 1319 to the nearest integer?
3
What is 23020 to the power of 1/2, to the nearest integer?
152
What is 317 to the power of 1/2, to the nearest integer?
18
What is 154380 to the power of 1/10, to the nearest integer?
3
What is the square root of 2396 to the nearest integer?
49
What is the square root of 1254 to the nearest integer?
35
What is the tenth root of 8288 to the nearest integer?
2
What is 23783 to the power of 1/10, to the nearest integer?
3
What is 36349 to the power of 1/3, to the nearest integer?
33
What is the cube root of 29157 to the nearest integer?
31
What is the cube root of 70473 to the nearest integer?
41
What is 2076 to the power of 1/10, to the nearest integer?
2
What is 588 to the power of 1/5, to the nearest integer?
4
What is 17905 to the power of 1/4, to the nearest integer?
12
What is the square root of 30029 to the nearest integer?
173
What is 53720 to the power of 1/7, to the nearest integer?
5
What is the cube root of 430 to the nearest integer?
8
What is the ninth root of 4053 to the nearest integer?
3
What is the square root of 720 to the nearest integer?
27
What is the third root of 23602 to the nearest integer?
29
What is the square root of 6231 to the nearest integer?
79
What is 88397 to the power of 1/5, to the nearest integer?
10
What is the sixth root of 57160 to the nearest integer?
6
What is 6258 to the power of 1/3, to the nearest integer?
18
What is 27442 to the power of 1/9, to the nearest integer?
3
What is the cube root of 1016 to the nearest integer?
10
What is 38165 to the power of 1/6, to the nearest integer?
6
What is the square root of 95599 to the nearest integer?
309
What is the cube root of 486 to the nearest integer?
8
What is the fourth root of 18286 to the nearest integer?
12
What is 178 to the power of 1/2, to the nearest integer?
13
What is the eighth root of 126 to the nearest integer?
2
What is 487 to the power of 1/2, to the nearest integer?
22
What is 7892 to the power of 1/7, to the nearest integer?
4
What is the third root of 386 to the nearest integer?
7
What is 9448 to the power of 1/2, to the nearest integer?
97
What is 38576 to the power of 1/5, to the nearest integer?
8
What is the cube root of 1111 to the nearest integer?
10
What is the cube root of 28352 to the nearest integer?
30
What is the square root of 19985 to the nearest integer?
141
What is the square root of 1061 to the nearest integer?
33
What is the square root of 78719 to the nearest integer?
281
What is 986 to the power of 1/3, to the nearest integer?
10
What is 1007 to the power of 1/8, to the nearest integer?
2
What is the square root of 13068 to the nearest integer?
114
What is the square root of 182973 to the nearest integer?
428
What is 3735 to the power of 1/6, to the nearest integer?
4
What is 3520 to the power of 1/2, to the nearest integer?
59
What is the fifth root of 11692 to the nearest integer?
7
What is the ninth root of 24879 to the nearest integer?
3
What is the third root of 4238 to the nearest integer?
16
What is the third root of 37621 to the nearest integer?
34
What is 17368 to the power of 1/2, to the nearest integer?
132
What is 125935 to the po
|
{
"pile_set_name": "DM Mathematics"
}
|
Let s = 3.4 + b. Round s to 3 dps.
-0.031
Let i = 15 + -20. Let x = -59 + i. Let w = 64.000041 + x. What is w rounded to 5 dps?
0.00004
Let q be (-802)/(-10) - (-2)/(-10). Let o be 10/(-4)*q/(-50). Let b be 2*1 + (o - -3699994). What is b rounded to the nearest one million?
4000000
Let w = 111.676 - 112. Let j = -0.37 - w. Round j to two dps.
-0.05
Let u = -5.034 - -5.72. Let a = u + -0.6246. Let y = a + -0.037. What is y rounded to 3 dps?
0.024
Let s = -29 + 32. Suppose s*h + 152269 = 392269. Round h to the nearest 10000.
80000
Let h = 10.054 + -0.054. Let m = 10.64 - h. Round m to one decimal place.
0.6
Suppose -3*v + 107840 = 5*v. What is v rounded to the nearest 1000?
13000
Let q = 43 + -86. Let t = 42.99999998 + q. Round t to seven decimal places.
0
Suppose -4*g = 3*u - 1159, 5*g = -0*u + 3*u - 1177. Let l = 999 - u. What is l rounded to the nearest one hundred?
600
Let t be 6*2/(-3)*-2. Suppose 0 = -7*o + 5*o + t. Suppose -3*k + o*w - 8708 = 0, -3*k - 5*w = 2400 + 6290. Round k to the nearest one thousand.
-3000
Let s = -258.8 - -258.788768. Round s to 3 decimal places.
-0.011
Let r = -9.2 - -9.19695. What is r rounded to three decimal places?
-0.003
Let d = 917063 + -40063. What is d rounded to the nearest 10000?
880000
Let n = -212908.4 + 193269. Let o = n - -19642.399985. Let w = 3 - o. Round w to five dps.
0.00002
Suppose v - 35 = 6*v - 5*b, 5*b = -3*v + 19. Let s be (-9)/v*(-2)/3. Let o(z) = 27*z**3 - 2*z**2 + 3*z - 4. Let i be o(s). Round i to the nearest one hundred.
-800
Let k = 0.3027 + -0.3026483. What is k rounded to 5 decimal places?
0.00005
Let v = -0.07647 - -0.0733. Round v to three decimal places.
-0.003
Let a(u) = 6*u + 1. Suppose 0 = 5*z - 5*c + 4*c - 9, 3*z + 2*c = -5. Let o be a(z). Let m be 4080/(o/(1400/(-12))). Round m to the nearest 10000.
-70000
Let s = -13683 + 13571.49. Let h = 114 + s. What is h rounded to one decimal place?
2.5
Let t = 4.8 - -1.2. Let d = -5.9999912 + t. Round d to 6 decimal places.
0.000009
Suppose 372389980 = -3*x - 5*y, 3*y - 6*y + 248260012 = -2*x. What is x rounded to the nearest one million?
-124000000
Let o = 27 - 32. Let k(t) = -3528*t**3. Let h be k(o). What is h rounded to the nearest 10000?
440000
Let k = -6733286629 - -6733292982.053883. Let g = 6353 - k. Let a = 0.054 + g. Round a to 5 decimal places.
0.00012
Suppose k = 4*k - 48. Let x = k - 46. Let f be (x + 0)/(4/292). What is f rounded to the nearest 100?
-2200
Let c = -155.35 + 152. Let i = c - -3.34999803. What is i rounded to seven decimal places?
-0.000002
Let h = 91.5 - -2.5. Let n = 94.0000394 - h. What is n rounded to five dps?
0.00004
Let c = -1060 + 502. Let b = c + 557.999999741. What is b rounded to seven dps?
-0.0000003
Let t = 8 - 8.016. Let y = t + 0.015964. Round y to 5 dps.
-0.00004
Let f = 1360.2012 - 1360. Round f to 2 decimal places.
0.2
Let v = -57.8 - -58. Let o = v - 0.20135. What is o rounded to 4 dps?
-0.0014
Let v = -0.115 - -0.605. Let n = 0.4862 - v. What is n rounded to 3 decimal places?
-0.004
Let d(q) = -2*q + 0 + 0 - 4. Let r be d(-3). Suppose 2115 = -r*g + 5*k, 2*k - 2130 = -2*g + 4*g. What is g rounded to the nearest 100?
-1100
Suppose -4*o = 2*v + 225126, v = -0*v - 3. What is o rounded to the nearest one thousand?
-56000
Let l(w) = 13*w**2 - 43*w**2 - w + 231*w**2. Let z be l(1). Let y be z/(-6)*-120*1825. Round y to the nearest one million.
7000000
Let n = 0.0595 - 0.0594983204. What is n rounded to 7 dps?
0.0000017
Let l = 5248.974 - 5236. Let o = 13 - l. Round o to 2 decimal places.
0.03
Let c = -0.1925 + 0.20928. Round c to 3 decimal places.
0.017
Let k = 0.2672 - -157.8328. What is k rounded to zero dps?
158
Let f = 47.6 - 10.6. Let r = f + -45.35. What is r rounded to zero dps?
-8
Let n = 20.4 + -20.3545. Let i = 0.055 - n. Round i to three dps.
0.01
Let x be 2/13 + 150/39. Let a be (-9)/(11335948/(-2833988) + x). Let v = -21176473 - a. Round v to the nearest 1000000.
-15000000
Let t = 0.26 + -1.2. Let d = 0.21 + 0.29. Let k = t + d. Round k to 1 dp.
-0.4
Let t(u) = u**3 + 11*u**2 + 11*u + 14. Let b be t(-10). Let h(w) = w**3 + w**2 - 5*w - 3. Let g be h(b). Round g to the nearest ten.
60
Suppose 18 = 4*x - 0*a - 5*a, -6 = -4*x - a. Suppose x*s + 5013501 = 36013501. Round s to the nearest one million.
16000000
Let b = 1.0208 - 610.9808. Let k = -597 - b. What is k rounded to zero dps?
13
Let d = -60 - -60.046. Let i = 0.046028 - d. Round i to 5 decimal places.
0.00003
Let a = 21 + -21. Suppose u - 4*u = -5*m - 13999991, a = m - 3*u + 2799991. What is m rounded to the nearest 1000000?
-3000000
Suppose -34*w - 60 = -31*w. Let y(l) = -435*l. Let v be y(w). Round v to the nearest 1000.
9000
Let w = 37.10000205 + -37.1. Round w to 6 dps.
0.000002
Let o = -0.0503 + 30.1503. Let i = o - 30.11044. What is i rounded to 3 decimal places?
-0.01
Let q = 44504.0853 - 44506. What is q rounded to one decimal place?
-1.9
Let d = 2848 - 2848.003826. Round d to 4 dps.
-0.0038
Let c = 1.8 + 3.2. Let f = -4.9979 + c. What is f rounded to 3 decimal places?
0.002
Let r = 0.16099878 + -0.161. Round r to 7 dps.
-0.0000012
Suppose 4*t - 3370 = n, -2*t - 2*n + 7*n + 1676 = 0. Let o = t - -1067. What is o rounded to the nearest 100?
1900
Suppose -4*x - 3*s + 11016009 = -6*s, x + s = 2753997. What is x rounded to the nearest one hundred thousand?
2800000
Let z(w) be the second derivative of -69*w**5/4 + w**4/2 - w**3/2 - 2*w**2 + 17*w. Let m be z(4). Round m to the nearest ten thousand.
-20000
Let x = -3 - -0.6. Let a = 2.399644 + x. Round a to 5 decimal places.
-0.00036
Let q = -3.4 + 2.6. Let b = 0.6 - q. Round b to the nearest integer.
1
Suppose 0 = -35*j + 40*j - 13605000. What is j rounded to the nearest 100000?
2700000
Let n = 0.08 - 0.03. Let s = 0.04 + n. Let b = 0.1 - s. What is b rounded to two decimal places?
0.01
Suppose -2*m + 31 = -5*c, 5*m - c = m + 17. Let b be 2 + (-107 + m)/2. What is b rounded to the nearest 10?
-50
Let j = 30185.35019 - 30216.35. Let w = j + 31. Round w to four decimal places.
0.0002
Suppose -16*q + 21*q = 2315000. Suppose 3*f = 0, j + 0*j - q = 5*f. What is j rounded to the nearest 10000?
460000
Let h = -2094 - -1662.2. Round h to the nearest ten.
-430
Let x(w) = -39*w**2 - 17*w - 13. Let l be x(13). What is l rounded to the nearest 1000?
-7000
Let b(k) = 123690*k + 6 + 70619*k - 31451*k. Let h(r) = -8*r - 7. Let y be h(0). Let d be b(y). What is d rounded to the nearest one hundred thousand?
-1100000
Let s = 0.250204642 + -0.2502. Round s to 6 dps.
0.000005
Let m = -10.18 - 2.82. Let r = 19125560.9999848 + -19125574. Let p = m - r. What is p rounded to 6 dps?
0.000015
Let b = -17719 + 17795.03. Let s = -75 + b. What is s rounded to one dp?
1
Let f(u) = -2*u**2 + 16*u - 15. Let s = 22 + 22. Suppose -2*b - s = -6*b. Let z be f(b). Round z to the nearest 10.
-80
Let c = -37.0629831028 + 0.0629844028. Let o = 37 + c. Round o to 6 decimal places.
0.000001
Let q = 3.437 + -4.0976. Round q to one dp.
-0.7
Let o(f) = -166*f - 11. Let y(v) = 166*v + 12. Let h(g) = 4*o(g) + 5*y(g). Let b be h(9). What is b rounded to the nearest one hundred?
1500
Let g = -0.69617727 - -0.6963. Round g to 5 decimal places.
0.00012
Let a = -73607 - -155730. Let j = -82115.9979 + a. Let r = -7 + j. What is r rounded to three dps?
0.002
Let q = 14134.9968 - 14123. Let m = -2.8 - 9.2. Let w = m + q. Round w to three dps.
-0.003
Let a = -1337 - -2689. Let o = -1337.025 + a. Let m = 15 - o. Round m to 2 dps.
0.03
Let j = 408807 + 2611193. Round j to the nearest one hundred thousand.
3000000
Let y = -210520 + 430525. Suppose -4*b = -k - y, -3*b + 193309 - 28289 = -4*k. Round b to the nearest 10000.
60000
Let y = -3509.811 + 3508. Round y to two decimal places.
-1.81
Let l = 1.5 - -75.5. Let n = 145 - l. Let z = n + -67.99902. What is z rounded to four dps?
0.001
Let l = 1.11 + -0.11. Let o = l + -0.88. Let y = 0.120084 - o. Round y to five decimal places.
0.00008
Let f = 0.33 - -17.67. Let t = 269.35953 + -287.3596. Let r = t + f. Round r to four decimal places.
-0.0001
Let d = -124 + 124.3. Round d to two dps.
0.3
Suppose 7*z = 11*z. Suppose 8*k = 3*k + 5*o + 2740, 0 = -5*k + 4*o + 2744. Suppose b - k - 1648 = z. What is b rounded to the nearest one thousand?
2000
Suppose 2*j - 57600 = 3*d - 0*d, 3*d -
|
{
"pile_set_name": "DM Mathematics"
}
|
etermine r(v(k)).
-52*k**2 + 2*k
Let p(o) = 3*o - 20. Let h(v) = -104*v + 104*v + 2*v**2. Calculate p(h(g)).
6*g**2 - 20
Let i(b) = -10*b - 2*b**2 + b**2 + 10*b. Let g(k) = -10*k. Calculate i(g(v)).
-100*v**2
Let h(u) be the third derivative of u**5/60 - 2*u**2. Let y be 30/20 + (-22)/(-4). Let m(r) = -6*r - 7*r + y*r. Calculate m(h(j)).
-6*j**2
Let s(d) = 2*d**2. Let m(i) = -157141*i - 6. Give m(s(k)).
-314282*k**2 - 6
Let m(d) = -44033*d**2. Let h(t) = 3*t. Give m(h(l)).
-396297*l**2
Let z(f) = -13*f + 29*f - 14*f. Let w(u) = -96*u. Calculate z(w(p)).
-192*p
Let r(n) be the second derivative of -n**3/6 + 2*n. Let l(t) = 22*t - 36. Let s(g) = -45*g + 90. Let o(v) = -5*l(v) - 2*s(v). Determine r(o(c)).
20*c
Let q(h) = h**2. Let c(k) = -6. Let v(j) = -j. Let x(w) = -w**3 - 4*w**2 + 5*w + 1. Let t be x(-5). Let o(l) = t*c(l) - v(l). What is q(o(b))?
b**2 - 12*b + 36
Let t(r) be the first derivative of 25*r**2 + r - 317. Let d(j) = j. What is t(d(s))?
50*s + 1
Let l(n) = -84*n + 15. Let z(v) = -12*v + 2. Let t(s) = -2*l(s) + 15*z(s). Let h(d) be the second derivative of d**3/3 - d + 78. Determine t(h(y)).
-24*y
Suppose -3*w + 1 = -k, 3*w - 34 = -4*k - 38. Let t(r) be the second derivative of -6*r + 0*r**3 + 0*r**2 + 1/6*r**4 + w. Let j(u) = u. Determine j(t(z)).
2*z**2
Let a(z) = z. Let s(h) be the second derivative of h**4/6 - 2*h**3 + 24*h - 1. Give a(s(n)).
2*n**2 - 12*n
Suppose -143*q + 142*q + 3 = 0. Let j(m) be the second derivative of 0*m**2 + 1/4*m**4 + 0*m**q + 0 + 9*m. Let d(l) = -7*l**2. Determine d(j(o)).
-63*o**4
Let z(w) = 6*w. Suppose -35 = 30*m - 35. Let k(a) be the second derivative of 1/12*a**4 + 4*a + m + 0*a**2 + 0*a**3. Determine z(k(g)).
6*g**2
Let n(w) = -w**2. Let p(c) = c. Let t(s) = -9*s + 25. Let z(f) = 4*f - 12. Let u(v) = -3*t(v) - 7*z(v). Let x(y) = -3*p(y) - u(y). Determine x(n(b)).
2*b**2 - 9
Let x(k) = 116*k**2 + 6. Let l(i) = 4*i**2. What is x(l(n))?
1856*n**4 + 6
Let b be -1*9 + (-7)/(-7). Let u be b/(-12) + (-8)/(-6). Let z(o) = -o**2 - 3*o**u + 5*o**2. Let l(h) = 7*h**2. What is l(z(t))?
7*t**4
Let y(o) be the first derivative of -5 - 9*o**2 + 10*o**2 - 11 + 0. Let u(a) = -a. Calculate y(u(s)).
-2*s
Let g(y) = -y**2. Let o(c) = -2*c**2 + 16*c + 6. Let i(f) = 2*f**2 - 16*f - 9. Let l(m) = -2*i(m) - 3*o(m). Give l(g(p)).
2*p**4 + 16*p**2
Let w(f) = 2*f**2. Let p(j) = -692988*j. What is p(w(z))?
-1385976*z**2
Let b(s) = -4*s**2. Let n(d) be the third derivative of 0*d + 0*d**3 + 1/6*d**4 + 0 + 45*d**2. What is b(n(r))?
-64*r**2
Let l(p) = -p**2. Let t(a) = -285*a - 7058 + 7058. What is l(t(u))?
-81225*u**2
Let f(l) = -38*l + 4. Let r(i) = -i + 4. Let s(d) = f(d) - r(d). Let k(y) = -3*y. Calculate s(k(o)).
111*o
Let i(p) = -p**2. Let b be -4*(-65)/60 - (-2)/(-2). Let z(m) be the first derivative of b*m**3 + 0*m**2 - 2 + 0*m. Calculate z(i(k)).
10*k**4
Let t(h) be the third derivative of 11*h**4/24 - 1729*h**2. Let c(u) be the third derivative of u**2 + 0*u + 0 - 1/24*u**4 + 0*u**3. What is t(c(b))?
-11*b
Let r(x) = 8*x**2 - 6*x + 18. Let d(h) = -17*h**2 + 11*h - 33. Let c(f) = 6*d(f) + 11*r(f). Let o(y) = 2*y. Give o(c(z)).
-28*z**2
Let y(c) = -14*c + 4. Let j(u) = 2*u**2 - 1. Let q be j(-2). Let z(o) = -29*o + 7. Let f(n) = q*y(n) - 4*z(n). Let p(v) = 2*v. What is f(p(d))?
36*d
Let f(b) = 2192*b**2. Let d(g) = 16*g. What is d(f(q))?
35072*q**2
Let b(h) = -10686*h + h**2 + 10686*h + h**2 - 5*h**2. Suppose 4*d - 40 = -5*p, -2*d - 1 - 1 = -3*p. Let y(g) = -d*g + 5*g + g. What is b(y(i))?
-3*i**2
Let h(v) = -v. Let w(f) = -21830*f**2. Determine h(w(x)).
21830*x**2
Let z(k) = -6*k**2. Let m(l) = 3*l**2 - 5*l. Let t be m(2). Let i(p) = t*p + 18*p - 25*p + 18*p. What is i(z(u))?
-78*u**2
Let w(j) = -6*j**2. Let b(s) = 2*s**2 + 0*s**2 + 6 - 6 + 2. Let d(g) = -2*g**2 - 3. Let c(a) = 6*b(a) + 4*d(a). Give c(w(h)).
144*h**4
Let t(z) = 2*z. Let g = 17782 - 5384. Let r(i) = g - 12398 + 55*i**2. Calculate r(t(c)).
220*c**2
Let v(o) be the third derivative of o**5/20 - 23*o**2. Let z(t) = 3*t - 1. Let w be z(3). Let s(m) = m + w - 8 + 6*m. Give s(v(r)).
21*r**2
Let t(r) = -r. Let l(g) be the second derivative of -11*g**3/6 + 14*g. Calculate t(l(n)).
11*n
Let k(w) = 3162*w**2 + 2 - 2 - 3161*w**2. Let y(n) = 231*n**2. Determine y(k(a)).
231*a**4
Let y(i) = -18*i**2 + 25*i**2 + 14*i**2. Let a(q) = -5*q. Determine a(y(s)).
-105*s**2
Let x(i) = 477*i - 1. Let n(j) = -2*j**2 + 72*j. Determine n(x(c)).
-455058*c**2 + 36252*c - 74
Let d(j) = -83*j**2. Let c(r) = -61*r + 10. Calculate c(d(q)).
5063*q**2 + 10
Let g(v) be the third derivative of -v**5/20 + v**2 + 21. Let y(w) = -4*w. Determine y(g(h)).
12*h**2
Let s(r) be the first derivative of r**3/3 + 3. Suppose 2*a + 2*t = 42, -3*a + 4*a - 12 = 2*t. Let x(n) = 28*n**2 - 6*n**2 - a*n**2 - 12*n**2. Give s(x(i)).
64*i**4
Let o(m) = -120086*m**2 - 6. Let c(f) = 3*f**2. Calculate o(c(h)).
-1080774*h**4 - 6
Let h(m) = 3 + 7*m - 1 + 3 - 8. Let x(y) = 8*y - 4. Let i(c) = 4*h(c) - 3*x(c). Let p(j) = -j. What is i(p(l))?
-4*l
Let x(i) = 153*i + 44. Let c(r) = 2*r - 21. Give x(c(v)).
306*v - 3169
Let o(p) = p. Let j(t) be the third derivative of 0*t**4 + 0 - 3/10*t**5 + 0*t - 24*t**2 + 0*t**3. Give o(j(q)).
-18*q**2
Let a(n) = 11*n. Let z(l) = 2*l**2 - 21*l + 201. Calculate a(z(k)).
22*k**2 - 231*k + 2211
Let h(q) = 2*q. Let k(l) = -143209*l**2. What is h(k(u))?
-286418*u**2
Let r(s) = -s. Let k(w) = -4 - 222*w - 13 + 17. Give k(r(x)).
222*x
Let u(f) = 3*f**2. Let y = 337 - 337. Let w(s) be the third derivative of 1/60*s**5 + y*s**3 + 0 - 2*s**2 + 0*s + 0*s**4. Calculate u(w(t)).
3*t**4
Let v(t) = 471*t. Let b(g) = 15*g + 14*g - 60*g + 15*g + 18*g. What is b(v(u))?
942*u
Let q(p) = 2*p**2. Suppose 0 = -3*a - 0*a + z + 10, -a = 5*z + 18. Suppose 2*j - 5*h = 13, a*j - 9 = -4*h + 5*h. Let w(m) = -2 - 2 + j + m**2. Give q(w(g)).
2*g**4
Let b(a) = -10*a + 70. Let o(y) = -7*y + 50. Let l(d) = -5*b(d) + 7*o(d). Let z(x) = 16*x + 4. Determine l(z(r)).
16*r + 4
Let u = -55 + 49. Let g(j) = -8*j - 3. Let s(y) = 360*y + 136. Let n(d) = u*s(d) - 272*g(d). Let i(b) = 3*b**2. What is i(n(c))?
768*c**2
Let r(k) = -k**2 + 3*k. Let t(w) = -2*w**2 + 7*w. Let c(s) = 7*r(s) - 3*t(s). Let h(g) = -9*g**2. Determine c(h(m)).
-81*m**4
Let h = 70 - 54. Let r(l) = 4*l**2 + 12*l + h*l - 28*l. Let g(j) be the third derivative of -j**4/12 - j**2. Calculate r(g(x)).
16*x**2
Let j(x) = -413*x**2. Let b(o) = 361*o. Calculate b(j(k)).
-149093*k**2
Let a(x) = 206742*x. Let g(i) = 2*i. Calculate g(a(b)).
413484*b
Let b(x) = -377288*x. Let h(t) = -t**2. Give h(b(p)).
-142346234944*p**2
Let s(n) = 20*n**2 - 43*n**2 + 20*n**2. Let l(c) be the first derivative of -c**3 - 1. Calculate l(s(d)).
-27*d**4
Let n(o) = -5*o**2 + 3*o**2 + 21*o**2 - 12*o**2. Let w(t) = -201*t**2. Determine w(n(f)).
-9849*f**4
Let o(c) = -4*c**2. Suppose g - 17 = -4*u, -4*u = 6*g - g - 21. Let n(d) = 5*d + 7. Let y(l) = 3*l + 4. Let h(r) = u*n(r) - 7*y(r). Determine o(h(b)).
-4*b**2
Let k(a) = a + 1. Let p(y) = 34 - 12 + 35*y - 7. Let f(h) = 15*k(h) - p(h). Let u(v) = -v. Determine u(f(s)).
20*s
Let n(m) = 1000862*m. Let c(i) = -i. Determine c(n(j)).
-1000862*j
Let a(n) = -79*n. Let o(f) = -14302*f + 14302*f + f**2. Calculate a(o(x)).
-79*x**2
Let w(i) = 2*i + 4. Let k(f) = 2*f - 4. Let p(r) = 3*r - 5. Let b(t) = 4*k(t) - 3*p(t). Let s(j) = 4*b(j) + w(j). Let h(v) = -4*v. Determine s(h(a)).
8*a
Let v(r) be the first derivative of -r**5/15 - 2*r**2 + 9. Let s(q) be the second derivative of v(q). Let x(h) = -6*h**2 + 4*h**2 + h**2. What is x(s(a))?
-16*a**4
Let r(t) = 18*t. Let c(q) be the third derivative of -q**7/2520 - 23*q**4/12 - q**2. Let d(o) be the second derivative of c(o). Give d(r(h)).
-324*h**2
Let y(c) = 13*c**2 + 7*c. Let h(f) be the first derivative of 4*f**3/3 + f**2 - 7. Let s(j) = 7*h(j) - 2*y(j). Let b(z) = 3*z. Determine s(b(l)).
18*l**2
Let m(p) = -7*p**2. Let i(x) = 30169*x**2 + 2*x. Calculate i(m(f)).
1478281*f**4 - 14*f**2
Suppose 4*n = 3*c + 3*n - 4, -2*n = -2*c. Let a(i) = -c + 2 - 1 + 6 - i**2. Let r(g) = -2*g**2. Calculate r(a(p)).
-2*p**4 + 20*p**2 - 50
Let a(g) = -3*g**2 + 291 - 291 + 19*g**2. Let n(b) be the first derivative of -b**3 + 7. Calculate a(n(z)).
144*z**4
Let o(p) = -p. Let h(w) = -4*w. Let s(q) = -2*q - 7. Let i(x)
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{
"pile_set_name": "DM Mathematics"
}
|
Find the first derivative of -71*f**k - 237*f**2 - 235*f**2 + 65 + 472*f**2 wrt f.
-284*f**3
Let v(n) be the first derivative of 1669*n**2/2 - 360*n + 1886. Differentiate v(b) with respect to b.
1669
Let b = 427 - 364. What is the derivative of -s - 57 - s + 88 - b*s**2 wrt s?
-126*s - 2
Let j(i) be the first derivative of 3622*i**2 - 8473*i + 8022. Find the first derivative of j(v) wrt v.
7244
Let f(y) be the first derivative of -429*y**7 + 2*y**5/5 + 11*y**3/3 - 69*y + 2227. What is the third derivative of f(r) wrt r?
-360360*r**3 + 48*r
Suppose -d = -2*d + 19. Differentiate -10*u + 21 + 7 - d*u + 2*u wrt u.
-27
Suppose -3*i + 0*i + 1380 = 3*t, -480 = -i + 3*t. What is the second derivative of 16*r**2 + i - 465 + 84*r wrt r?
32
Let t = -89 + 92. Find the third derivative of -91*k**4 + 246*k**2 - 163*k**2 - 5*k**3 + 5*k**t wrt k.
-2184*k
Suppose 760 = 28*s + 12*s. What is the first derivative of 50*n**2 + 61*n**2 + s*n**2 - 278 wrt n?
260*n
What is the derivative of -199 + 280154*f**3 - 279434*f**3 + 40 wrt f?
2160*f**2
Let w(q) be the first derivative of 0*q**3 + 0*q + 0*q**5 + 11/4*q**4 + 14*q**2 + 1/3*q**6 + 19. What is the second derivative of w(g) wrt g?
40*g**3 + 66*g
Let t(x) = x**2 + x + 12. Let m be t(0). Suppose 3*r + 2*p - m = -0*p, 2*r + 4*p = 16. Find the second derivative of r*g + 15*g**5 + 2*g - 3*g wrt g.
300*g**3
Suppose 3*z + 3*f = 12, -2*z = -0*z + 3*f - 13. Let r be z + 7/8 + 12750/240. Find the third derivative of -r*d + 53*d - 5*d**2 + 16*d**4 wrt d.
384*d
Let s be ((-9)/6)/(-3 + 44/16). Suppose 5*r = 7*r - s. What is the second derivative of -9*i**3 - i + 9*i**r - 19*i**4 wrt i?
-228*i**2
Let h(k) be the second derivative of -5203*k**6/30 - k**4/6 - 2*k**3/3 + 121*k**2/2 + 3*k - 282. Find the third derivative of h(q) wrt q.
-124872*q
Let c(y) = -y**2 - y + 1. Let p be -1*(-6 - -2)/(-4). Let x(o) = -46*o**2 + 17*o - 2. Let f(l) = p*x(l) - 5*c(l). Find the second derivative of f(v) wrt v.
102
Let a be (-4)/(-10) - ((-88)/(-20) + -6). Suppose -3*q - a*q + 15 = 0. What is the second derivative of 3 + 686*u - 2*u**4 - q - 682*u wrt u?
-24*u**2
Find the third derivative of 293*b**4 + 78684 - 78684 - 2029*b**2 wrt b.
7032*b
Let w = 14 + -129. Let h be -5 - w/15 - 4/6. What is the third derivative of 18*c**2 - 46*c**4 - 53*c**h + c**4 wrt c?
-1080*c
Let g(n) be the second derivative of -n + 55/6*n**3 - 79/2*n**2 + 1. What is the first derivative of g(v) wrt v?
55
Let h(n) be the second derivative of 148*n**6/5 - 83*n**3/6 + 6*n**2 + 328*n. Find the second derivative of h(d) wrt d.
10656*d**2
Let c(z) = 227*z**2 - 36*z - 7. Let u(l) = 341*l**2 - 53*l - 10. Let s = 407 + -412. Let v(p) = s*u(p) + 7*c(p). Find the second derivative of v(j) wrt j.
-232
Let b = -21 + 40. Let r = 74 - b. Find the second derivative of -r*l - 59*l + 104*l - 8*l**4 wrt l.
-96*l**2
Find the third derivative of 2663*t + 20*t**6 - 2656*t - 5708*t**2 + 6114*t**2 - 9*t**5 wrt t.
2400*t**3 - 540*t**2
Let q(j) = j**3 - 17*j**2 - 85*j + 25. Let y be q(21). Differentiate -37 - 60*l**4 - 87*l**y + 39*l**4 with respect to l.
-432*l**3
Find the third derivative of -26*j**2 + 46*j**2 - 5 + 9749*j**3 - 7*j + 50*j**2 + 20*j**2 wrt j.
58494
Let l be 1*2612 - ((-108)/(-12) + -8). What is the second derivative of 12*a + 2611 - l + 31*a**5 wrt a?
620*a**3
Let n be 10/4*(-6)/(-12)*4. Find the second derivative of -2*l**2 - 6*l - 10 + n*l - 15*l**2 - 17*l**2 wrt l.
-68
What is the third derivative of -465*m**2 - 776*m**6 + 164*m**2 - 401*m**6 - 924*m**2 wrt m?
-141240*m**3
Let i(r) be the second derivative of -r**7/42 + 2*r**6/15 + 43*r**3/6 + r**2 + 27*r - 5. Find the second derivative of i(p) wrt p.
-20*p**3 + 48*p**2
What is the second derivative of -72*b**2 - 2*b - 44 + 35 + 72*b**2 + 7*b + 498*b**3 wrt b?
2988*b
Let u be (-44)/(-33)*30/8. Let s be (-2)/u*(-4 - 1). What is the third derivative of 2*j - 2*j + j**4 + 15*j**4 + j**s wrt j?
384*j
Let b(j) be the third derivative of 605*j**9/84 - 643*j**5/12 - 2*j**2 + j - 1115. Find the third derivative of b(r) wrt r.
435600*r**3
Let a(k) = k**3 + 9*k**2 + 2*k - 14. Let z be a(-8). Suppose 3*r = 17 + z. What is the third derivative of 0*n**3 + n**2 + r*n**3 + 11*n**2 - 2*n**2 wrt n?
102
Let s(h) be the second derivative of 0 + 1/6*h**3 - 43/6*h**4 - 5*h**2 - 76*h. What is the second derivative of s(b) wrt b?
-172
Let m(j) be the third derivative of 2239*j**7/105 - 5561*j**3/6 - 24*j**2 + 4*j - 2. What is the derivative of m(d) wrt d?
17912*d**3
Let w = -25 + 30. Suppose -8 = -2*f, -4*l = -8*l + 5*f + 80. What is the second derivative of -l*k + 9*k**w - 11*k**5 + 26*k**5 wrt k?
480*k**3
Let i(z) = -563*z**2 + 556*z - 3. Let w(l) = -l**4 - 562*l**2 + 560*l - 4. Let o(b) = 4*i(b) - 3*w(b). Find the second derivative of o(y) wrt y.
36*y**2 - 1132
Suppose -6*p + p - 40 = 0. Let l = p - -10. What is the second derivative of -16*n + 11*n**l - 4*n**2 + 13*n**2 - 5*n**2 wrt n?
30
Let q = 174 - 113. Let i = -57 + q. What is the third derivative of 10*p**2 + p**i + 6*p**4 - 8*p**2 wrt p?
168*p
What is the third derivative of -5287*x**2 - 9*x**5 + 7*x**5 - 2038*x**6 + 10379*x**2 wrt x?
-244560*x**3 - 120*x**2
Find the third derivative of -905321*t**2 - t**3 + 904721*t**2 + 0 + 1 - 1 - 374*t**4 wrt t.
-8976*t - 6
Let q(h) = -3*h**4 - h + 1. Let o(v) = -479*v**4 - 3*v - 722. Let r(c) = o(c) - 2*q(c). Find the first derivative of r(i) wrt i.
-1892*i**3 - 1
Let i(g) be the second derivative of -856*g**3/3 - 339*g**2/2 + 3*g + 79. Find the first derivative of i(d) wrt d.
-1712
Let u(h) be the first derivative of -523*h**3/3 + h**2/2 + 512*h - 234. Find the second derivative of u(n) wrt n.
-1046
Suppose 5 = -16*x + 53. Find the third derivative of 3*k**6 - 7*k**5 - x*k + k - 2*k**6 - k**2 + 0*k wrt k.
120*k**3 - 420*k**2
Find the first derivative of -86*y - y**3 + 2*y**4 + 4883634*y**2 - 391 - 4883634*y**2 wrt y.
8*y**3 - 3*y**2 - 86
Let l(q) be the first derivative of 18*q**3 + 15/4*q**4 + 103 + 0*q + 0*q**2. Find the third derivative of l(g) wrt g.
90
Let a(z) be the first derivative of 77/6*z**6 - 1/5*z**5 + 0*z**2 + 0*z**4 + 0*z - 16/3*z**3 - 6. Find the third derivative of a(m) wrt m.
4620*m**2 - 24*m
Let h be 12/(-20) - 66/(-10). Suppose -h*p + 8*p = 2*g - 12, 3*g - 4*p - 22 = 0. Differentiate 56 - 38 + 4*u**2 - 4*u**g - 10*u**3 wrt u.
-30*u**2
Find the second derivative of -3855*h + 64*h**5 + 1834*h**3 - 2636*h**3 - 62*h**5 + 1 + 1777*h**3 wrt h.
40*h**3 + 5850*h
Find the first derivative of -3710 + 6929*g - 3558 - 2077 wrt g.
6929
Let h = 24 + -17. Suppose h*k - 8 = 41. What is the third derivative of -k*p - 3*p**2 - 55*p**6 + 10*p**5 + 58*p**6 - p**4 - 10*p**5 wrt p?
360*p**3 - 24*p
Suppose 0 = 5*n - 238 + 193. What is the first derivative of -n*t**2 + 8*t**3 + 3*t**2 - 10*t**3 - 100 - 7*t**2 wrt t?
-6*t**2 - 26*t
Let n(p) = -207*p - 100. Let b(m) be the first derivative of -104*m**2 - 101*m - 6. Let t(s) = 2*b(s) - 3*n(s). Find the first derivative of t(h) wrt h.
205
Let a be 7/56*4*4. Find the third derivative of 14*c**a - 18*c**3 + 8*c**2 + 12*c**4 + c**2 - 14*c**4 wrt c.
-48*c - 108
Let q(m) be the second derivative of 247*m**5/10 - 460*m**2 + 86*m - 4. Differentiate q(s) with respect to s.
1482*s**2
Let s(y) be the first derivative of 3*y**5 - y**3/3 - y**2 - 4019*y + 4199. What is the first derivative of s(p) wrt p?
60*p**3 - 2*p - 2
Find the third derivative of -9621992*g**3 + 804*g**2 + 2*g - 2*g + 9618630*g**3 wrt g.
-20172
Let q(u) = -u + 9. Let w be q(7). Let r be (-1)/((-9)/((-495)/(-170)) + 3). What is the second derivative of -5*f**w - r*f**2 + 27*f - 26*f wrt f?
-32
What is the third derivative of 2746 - 4*n**2 - 2734 - 250*n**6 - 2*n**2 - 132*n**6 wrt n?
-45840*n**3
Let y be (-3)/7 + ((-1023)/21)/(-11). What is the second derivative of 37*g**2 + 12*g**2 - 7*g**2 - 96*g - 13*g**2 + 11*g - g**y wrt g?
-12*g**2 + 58
Let m(c) = -16745*c**3 + 18*c**2 + 3*c - 900. Let y(k) = -4187*k**3 + 4*k**2 + k - 224. Let g(p) = 2*m(p) - 9*y(p). Find the second derivative of g(b) wrt b.
25158*b
Suppose 0 = -15*o + 10*o + 15. Find the second derivative of 50*d**o - 4 + 312*d**5 - 66*d**3 + 2*d - 18 + 16*d**3 wrt d.
6240*d**3
Let t(m) be the first derivative of 233 + 0*m**4 + 0*m**3 + 0*m + 0*m**5 - 139/6*m**6 - 201/2*m**2. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2380
Simplify (-5 + sqrt(7) + -5)**2 - (-5 + sqrt(56)/sqrt(8)).
-21*sqrt(7) + 112
Simplify (-2*sqrt(2736))**2 + sqrt(76) + 1*sqrt(76).
4*sqrt(19) + 10944
Simplify sqrt(52)/(1*sqrt(64)).
sqrt(13)/4
Simplify ((sqrt(11)*1 + 2)*4)**2.
64*sqrt(11) + 240
Simplify (5*(sqrt(108) - (sqrt(108) - (-2 + sqrt(108)) - sqrt(108) - sqrt(108))))**2.
-1800*sqrt(3) + 24400
Simplify ((sqrt(11) - sqrt(11)*2*2) + (sqrt(11) - sqrt(1100)*3))**2.
11264
Simplify 5*-4*(-1 + sqrt(1377))**2.
-27560 + 360*sqrt(17)
Simplify 3*(sqrt(102) - ((sqrt(102)*-1 - sqrt(102))*-3 + sqrt(102)))/((sqrt(6) + (sqrt(18)/sqrt(3) - sqrt(6)))*-2).
9*sqrt(17)
Simplify 4 + ((0 + sqrt(300))**2 + 3)*-3.
-905
Simplify sqrt(63) + -2 - sqrt(700)/sqrt(4).
-2*sqrt(7) - 2
Simplify (3*-6*sqrt(6)/sqrt(2))**2.
972
Simplify (1*sqrt(363))**2*-5 + 5 + -5.
-1815
Simplify (-4 + 1*sqrt(33)/(-1*sqrt(3)))**2.
8*sqrt(11) + 27
Simplify (0 + sqrt(68) + 0)**2 - ((-1 + sqrt(1700))*4)**2.
-27148 + 320*sqrt(17)
Simplify 6*(sqrt(20)/sqrt(8))/sqrt(5).
3*sqrt(2)
Simplify -4 + (sqrt(2057)*-2 - sqrt(17))**2.
8989
Simplify 1*(sqrt(21)/(-1*sqrt(112) - sqrt(112) - sqrt(7)) + 0).
-sqrt(3)/9
Simplify (3 + sqrt(7) + 3 + sqrt(7) + sqrt(7) + sqrt(7))*-1.
-4*sqrt(7) - 6
Simplify -6*sqrt(33)/(sqrt(99)/sqrt(9)).
-6*sqrt(3)
Simplify sqrt(1216)*2*1.
16*sqrt(19)
Simplify sqrt(187)/(3*sqrt(99) + sqrt(11) + sqrt(11)).
sqrt(17)/11
Simplify 5*sqrt(448)*-5.
-200*sqrt(7)
Simplify ((sqrt(180) + 2)*1 - sqrt(180)) + sqrt(180).
2 + 6*sqrt(5)
Simplify (-1*sqrt(209)*-2 - sqrt(209))/sqrt(11).
sqrt(19)
Simplify (sqrt(2299)*5 + 3 + sqrt(190)/sqrt(10))**2.
336*sqrt(19) + 59593
Simplify (sqrt(280)/sqrt(5))/sqrt(8) - -2*(-5*sqrt(7))**2.
sqrt(7) + 350
Simplify (-5*(sqrt(77)*2 + sqrt(77) - sqrt(77) - sqrt(77) - sqrt(77)) - sqrt(77))/(4*(sqrt(21)/sqrt(3) - sqrt(7)) + sqrt(7)).
-sqrt(11)
Simplify sqrt(153)*3 - (sqrt(17) - -1*(sqrt(17) - sqrt(34)/sqrt(2))).
8*sqrt(17)
Simplify (5*(sqrt(104) + -1*sqrt(104) + sqrt(104)) - sqrt(104))/(sqrt(8) - (((sqrt(128) + sqrt(8) - sqrt(8)) + sqrt(8))*-6 + sqrt(8) + sqrt(8))).
4*sqrt(13)/29
Simplify 3 + 0 + sqrt(175) + 4*(sqrt(112))**2*4.
5*sqrt(7) + 1795
Simplify -5*(sqrt(117)/sqrt(441) + 4).
-20 - 5*sqrt(13)/7
Simplify (2*sqrt(44)*5)/(sqrt(64)*-3).
-5*sqrt(11)/6
Simplify (-4*(sqrt(162) + 2))**2.
576*sqrt(2) + 2656
Simplify 1*((sqrt(19) - (3 + (sqrt(57)/sqrt(3) + sqrt(19))**2)) + -3).
-82 + sqrt(19)
Simplify 3*(5 + sqrt(28))**2.
60*sqrt(7) + 159
Simplify sqrt(128) + -1 + 0 - (sqrt(128) + -2)**2*2.
-265 + 72*sqrt(2)
Simplify (sqrt(616)/(sqrt(11)*1))/sqrt(8).
sqrt(7)
Simplify (sqrt(99) + ((sqrt(99) - (2 + sqrt(99)))*-5)**2 - sqrt(99)) + -1 + (-2*sqrt(99) - sqrt(99)).
-9*sqrt(11) + 99
Simplify (sqrt(95) + (-3*sqrt(95)*2 - sqrt(95)) + sqrt(95) + sqrt(95))/(sqrt(15)/(sqrt(27) - sqrt(3))).
-8*sqrt(19)
Simplify -4 + sqrt(17) + ((sqrt(17) + -1 + sqrt(68))**2 - sqrt(17)).
-6*sqrt(17) + 150
Simplify (sqrt(343)/(sqrt(56)/sqrt(8)))/sqrt(7)*5.
5*sqrt(7)
Simplify (-1*(3 + 4 + sqrt(891) + sqrt(891)))**2.
252*sqrt(11) + 3613
Simplify ((sqrt(19) - sqrt(19)*3)*-2 - sqrt(19) - sqrt(2299)*-4)**2.
41971
Simplify (-2*(6*(sqrt(1573) + 0 + sqrt(1573)) - (-3*1*sqrt(1573) + sqrt(1573) - sqrt(1573))))**2.
1415700
Simplify (sqrt(5103)*-3)/(sqrt(63)/(sqrt(35)/sqrt(5))).
-27*sqrt(7)
Simplify 2 + sqrt(80) + 0.
2 + 4*sqrt(5)
Simplify (-5 + (sqrt(153) - (-1 + sqrt(153))) + 4)**2.
0
Simplify (2 + sqrt(99))**2*2.
24*sqrt(11) + 206
Simplify (sqrt(80)/(sqrt(12)/sqrt(3)))/((-3*sqrt(10) + sqrt(10))*-4).
sqrt(2)/8
Simplify (sqrt(2) + 0)*6 + (2 + 1 + sqrt(2) + sqrt(2))**2.
17 + 18*sqrt(2)
Simplify sqrt(363) + (sqrt(363) + -1)**2 + 2 - (sqrt(363) - ((-1*sqrt(363)*-5)**2 + sqrt(363))).
-11*sqrt(3) + 9441
Simplify 5*(sqrt(1300) + 2)*-3.
-150*sqrt(13) - 30
Simplify 0 + sqrt(539) - (-1 + sqrt(1331))**2.
-1332 + 29*sqrt(11)
Simplify 1 + (5 + (sqrt(66)/sqrt(2))/sqrt(11))**2.
10*sqrt(3) + 29
Simplify sqrt(351)/sqrt(3)*2*-5.
-30*sqrt(13)
Simplify (-1*(sqrt(931) + -1)*-6)**2.
-504*sqrt(19) + 33552
Simplify sqrt(26)/sqrt(2)*3 - -1*sqrt(208).
7*sqrt(13)
Simplify -2*(sqrt(5) + -1)**2 - (sqrt(720) + 0 + sqrt(720))**2.
-2892 + 4*sqrt(5)
Simplify (sqrt(130) - (sqrt(130) - (sqrt(130) - ((sqrt(130) - (sqrt(130)*2 - sqrt(130)))*5 - sqrt(130)))))/((-2*sqrt(90) - sqrt(90))/sqrt(9)).
-2*sqrt(13)/3
Simplify 3*(sqrt(19) + 4 + 4 + sqrt(19)).
24 + 6*sqrt(19)
Simplify (sqrt(6) + (sqrt(6) - 3*sqrt(54)))/(1*sqrt(98)).
-sqrt(3)
Simplify (sqrt(1539)*2 + sqrt(1539))*4*6.
648*sqrt(19)
Simplify (4*sqrt(8))**2*-5.
-640
Simplify (1*sqrt(720) + 4)**2.
96*sqrt(5) + 736
Simplify 2*(sqrt(11) + sqrt(176)) - (sqrt(11) - (0 + -2*sqrt(11))).
7*sqrt(11)
Simplify (sqrt(18) + 6*sqrt(1152) + -3)**2.
-882*sqrt(2) + 43227
Simplify 2 + (sqrt(84) + 1*(sqrt(84) + sqrt(84)*-2))/sqrt(12).
2
Simplify -3 + (sqrt(128))**2*1 + -5.
120
Simplify ((3*(sqrt(77) - ((sqrt(77) - ((sqrt(77) - (-2*sqrt(77) - sqrt(77))) + sqrt(77))) + sqrt(77))))/(sqrt(252) - (sqrt(252) + 3*sqrt(252) + sqrt(252))))**2.
11/4
Simplify (-6*sqrt(35)/sqrt(7)*6)**2.
6480
Simplify ((sqrt(70) + (sqrt(70) + sqrt(70) + sqrt(70)*3 + sqrt(70) - sqrt(70)))*-6)/(-2*sqrt(360) + sqrt(360)).
6*sqrt(7)
Simplify 3 + (sqrt(720) - (1 + (sqrt(720) - (sqrt(720) + 3)))).
5 + 12*sqrt(5)
Simplify -4*(-2 + sqrt(2))*-6.
-48 + 24*sqrt(2)
Simplify (sqrt(78) - -3*2*sqrt(78))/(4*sqrt(6)*2 + sqrt(6)).
7*sqrt(13)/9
Simplify (sqrt(133) + sqrt(133) + (sqrt(133) - (4*(sqrt(133) + sqrt(133)*1) + sqrt(133))))/sqrt(7).
-6*sqrt(19)
Simplify (sqrt(300)*1*-4)**2.
4800
Simplify -6*(sqrt(832)*1*-3)**2.
-44928
Simplify (sqrt(21)/sqrt(3))**2*1 + -1.
6
Simplify 3*((-1*sqrt(70))/sqrt(10) + sqrt(7))**2*1.
0
Simplify 1 + 2*sqrt(76) + -5.
-4 + 4*sqrt(19)
Simplify (-6*(-3 + (sqrt(39)*2)/sqrt(3)))**2*-6.
-13176 + 2592*sqrt(13)
Simplify 3 + (sqrt(847) + -1*sqrt(847) + sqrt(847) + sqrt(847))**2 - (-1 + sqrt(847) + -5).
-11*sqrt(7) + 3397
Simplify 5 + (-6*(sqrt(3) + sqrt(3) + -5) - sqrt(3))**2.
-780*sqrt(3) + 1412
Simplify -4 + sqrt(847) + 0.
-4 + 11*sqrt(7)
Simplify (sqrt(22)*-3*3)/sqrt(2) + -3.
-9*sqrt(11) - 3
Simplify sqrt(11) + ((sqrt(88)*-2)/sqrt(8))**2 - 2*(sqrt(11)*-1 + sqrt(11))**2.
sqrt(11) + 44
Simplify (sqrt(120)/(3*sqrt(10)))/sqrt(4).
sqrt(3)/3
Simplify (sqrt(156) + -2*1*sqrt(156) + sqrt(156))/((sqrt(96)*1 - sqrt(96) - sqrt(96))/sqrt(8) + sqrt(12) - sqrt(12)).
0
Simplify (-5 + 5*(-1 + sqrt(3)) + -5)**2.
-150*sqrt(3) + 300
Simplify 5*(-2 + sqrt(19))**2*-6.
-690 + 120*sqrt(19)
Simplify (sqrt(102)*1*4)/sqrt(6).
4*sqrt(17)
Simplify -5*(sqrt(720) + -5)*6.
-360*sqrt(5) + 150
Simplify ((sqrt(304)*-1 + 0 - sqrt(304)) + sqrt(304) + 3)**2.
-24*sqrt(19) + 313
Simplify ((sqrt(133)*-2 + sqrt(133))*3)/(-3*sqrt(7)*-2).
-sqrt(19)/2
Simplify sqrt(27)/((-4*sqrt(9) + sqrt(9))*5)*-4.
4*sqrt(3)/15
Simplify -1 + -3*sqrt(320)*2.
-48*sqrt(5) - 1
Simplify ((sqrt(50)/sqrt(5))/sqrt(2) - -5*(sqrt(5) + 1))*-3.
-18*sqrt(5) - 15
Simplify (sqrt(80) + -2 + sqrt(80))*5.
-10 + 40*sqrt(5)
Simplify 3 + (sqrt(88) - -4*1*sqrt(88))/sqrt(8).
3 + 5*sqrt(11)
Simplify sqrt(2) + (sqrt(6)/sqrt(3) + sqrt(2))*-4 + 4 + sqrt(2)*-2 + 4.
-9*sqrt(2) + 8
Simplify (sqrt(91) - (2*(4*sqrt(91) + sqrt(91)) + sqrt(91)))/sqrt(7).
-10*sqrt(13)
Simplify -1*(sqrt(5) + 1)*4.
-4*sqrt(5) - 4
Simplify -2 + (sqrt(700)*2*4 + sqrt(700) + 5 + 1*sqrt(700))**2.
1000*sqrt(7) + 70023
Simplify (5*2*sqrt(88))/sqrt(8)*2.
20*sqrt(11)
Simplify ((sqrt(528) - -2*sqrt(528)) + sqrt(33))/(sqrt(21)/(sqrt(7)*2)).
26*sqrt(11)
Simplify ((sqrt(1088) - 2*(sqrt(1088)*1 - sqrt(1088) - sqrt(1088))) + (sqrt(1088)*1 + 5 - sqrt(1088)))**2.
240*sqrt(17) + 9817
Simplify (sqrt(28)*4*-4)**2.
7168
Simplify sqrt(1331) + 4 + sqrt(1331) + 0.
4 + 22*sqrt(11)
Simplify (sqrt(2448) - (2 + sqrt(2448)))**2 - sqrt(85)/(sqrt(5)*-3).
sqrt(17)/3 + 4
Simplify -5*3*sqrt(425).
-75*sqrt(17)
Simplify 4 + sqrt(176)*2 - (sqrt(176) + sqrt(176) + 0 + -2).
6
Simplify (-1*sqrt(7) + 1 + sqrt(35)/sqrt(5) + 0)**2.
1
Simplify (-1*(sqrt(13) - -3*sqrt(13)) + 1 + sqrt(1573))**2.
14*sqrt(13) + 638
Simplify sqrt(75) + 3 + (sqrt(363) - -3*sqrt(363))**2.
5*sqrt(3) + 5811
Simplify (sqrt(33)/sqrt(3))**2 + 0 - (sqrt(11) + sqrt(44)/sqrt(4) + -1).
-2*sqrt(11) + 12
Simplify ((6*sqrt(25))/sqrt(5) + -2*sqrt(5)*5)**2.
80
Simplify (sqrt(26)/sqrt(2)*-2)**2 - (sqrt(52) + 5)**2.
-20*sqrt(13) - 25
Simplify -2*sqrt(468)/(sqrt(18)/sqrt(2
|
{
"pile_set_name": "DM Mathematics"
}
|
230
Calculate the smallest common multiple of 3360 and 6048.
30240
Calculate the common denominator of 61/46545 and 103/3210.
93090
What is the lowest common multiple of 9824 and 358?
1758496
Find the common denominator of 43/2964 and 47/273.
20748
What is the smallest common multiple of 60 and 1483956?
7419780
What is the common denominator of -97/4392 and -29/8784?
8784
What is the lowest common multiple of 1180 and 418900?
418900
Calculate the lowest common multiple of 768 and 324.
20736
What is the least common multiple of 1576 and 22064?
22064
What is the common denominator of 57/1436 and -47/148267?
593068
What is the common denominator of -53/159390 and 62/2205?
1115730
Calculate the common denominator of -19/49500 and -91/9000.
99000
What is the lowest common multiple of 161443 and 2?
322886
Calculate the common denominator of 131/3330 and 59/7030.
63270
Find the common denominator of 54/341825 and -5/150403.
3760075
What is the common denominator of 27/60988 and 19/1422?
548892
Calculate the common denominator of -41/36 and 107/90104.
810936
Calculate the common denominator of 67/9978 and -11/3326.
9978
What is the common denominator of 119/53568 and 79/25920?
803520
What is the lowest common multiple of 110988 and 44?
1220868
Calculate the common denominator of -31/581360 and 107/10.
581360
What is the common denominator of 49/330 and 193/37590?
413490
What is the common denominator of 67/4994 and 47/9?
44946
Calculate the common denominator of 17/1032 and -19/3356.
865848
What is the lowest common multiple of 96074 and 2382?
288222
What is the smallest common multiple of 36136 and 14?
252952
What is the smallest common multiple of 13663 and 702?
737802
Find the common denominator of 169/154260 and -30/857.
154260
Calculate the common denominator of -97/39928 and 37/4991.
39928
Calculate the least common multiple of 255 and 2720.
8160
Calculate the smallest common multiple of 44 and 5496.
60456
What is the least common multiple of 99648 and 128?
199296
What is the smallest common multiple of 1780 and 8544?
42720
What is the smallest common multiple of 2160 and 2970?
23760
Calculate the common denominator of -59/458400 and 37/134655.
21544800
Calculate the common denominator of -109/72240 and 7/1376.
144480
Calculate the smallest common multiple of 5852 and 8294.
2206204
What is the lowest common multiple of 38626 and 3472?
309008
Calculate the least common multiple of 7839 and 201.
7839
What is the least common multiple of 234 and 31176?
405288
Calculate the smallest common multiple of 585 and 30.
1170
What is the common denominator of 13/2322 and 7/1032?
9288
Find the common denominator of 75/2486 and 38/8701.
17402
What is the common denominator of 10/217 and 61/14756?
14756
Calculate the least common multiple of 112300 and 22460.
112300
What is the lowest common multiple of 380 and 110?
4180
What is the smallest common multiple of 22 and 72406?
796466
Find the common denominator of 101/121786 and 10/95689.
1339646
What is the smallest common multiple of 9 and 1340?
12060
What is the common denominator of 137/100938 and -41/8?
403752
What is the least common multiple of 44781 and 46?
89562
Find the common denominator of 107/216 and 7/35172.
211032
Find the common denominator of -76/23247 and -77/12.
92988
What is the smallest common multiple of 4727 and 551?
89813
What is the lowest common multiple of 4488 and 88?
4488
Calculate the lowest common multiple of 90 and 22880.
205920
What is the smallest common multiple of 8884 and 16?
35536
Find the common denominator of 83/1050 and 139/1500.
10500
What is the lowest common multiple of 30 and 149460?
149460
What is the smallest common multiple of 10175 and 88?
81400
Find the common denominator of -107/140 and 109/28980.
28980
What is the common denominator of -107/46256 and 13/3776?
185024
What is the common denominator of 97/22496 and -83/16?
22496
Calculate the lowest common multiple of 3151 and 11753.
1610161
Calculate the common denominator of -47/48916 and -21/4.
48916
Calculate the least common multiple of 91 and 18200.
18200
What is the lowest common multiple of 116 and 3772?
109388
Calculate the common denominator of -13/106 and -37/3453.
366018
Calculate the smallest common multiple of 120 and 2937312.
14686560
What is the lowest common multiple of 942557 and 770?
9425570
Calculate the lowest common multiple of 14 and 3230.
22610
What is the least common multiple of 40 and 98090?
392360
What is the lowest common multiple of 1925 and 22330?
111650
What is the common denominator of 77/24 and -43/261867?
2094936
Find the common denominator of 43/978 and -55/24776.
74328
What is the least common multiple of 3976 and 36778?
147112
Calculate the least common multiple of 5320 and 2128.
10640
Calculate the smallest common multiple of 94952 and 32868.
854568
What is the common denominator of -137/300 and -107/13740?
68700
Calculate the lowest common multiple of 10 and 2288996.
11444980
What is the common denominator of 91/90 and 163/2190?
6570
What is the common denominator of -65/3 and -77/708784?
2126352
Find the common denominator of 43/22 and 9/18710.
205810
What is the common denominator of -11/32760 and 23/315?
32760
What is the least common multiple of 18264 and 44?
200904
What is the smallest common multiple of 72761 and 91?
509327
What is the common denominator of -13/14 and -157/789360?
5525520
What is the common denominator of -11/4233 and 29/21?
29631
Calculate the common denominator of -35/432 and 83/99.
4752
What is the lowest common multiple of 2318680 and 198744?
6956040
What is the smallest common multiple of 19899 and 13266?
39798
Find the common denominator of 86/75 and -179/29130.
145650
What is the lowest common multiple of 1874 and 22488?
22488
What is the least common multiple of 312266 and 6?
936798
What is the smallest common multiple of 28 and 3829?
15316
What is the lowest common multiple of 7280 and 416?
14560
Find the common denominator of -167/666600 and 59/6050.
7332600
Calculate the least common multiple of 3512 and 560.
245840
What is the least common multiple of 12438 and 18?
12438
Find the common denominator of -59/210 and -193/5070.
35490
What is the common denominator of 79/2778360 and 17/10?
2778360
What is the smallest common multiple of 24 and 1722?
6888
Calculate the common denominator of -36/5225 and 5/589.
161975
Calculate the common denominator of 157/30 and 95/709152.
3545760
Calculate the common denominator of -53/236790 and 31/50.
1183950
Calculate the common denominator of 31/6776 and 37/88088.
88088
What is the common denominator of -17/209 and 52/437?
4807
Find the common denominator of 43/4346 and 10/41.
4346
Calculate the lowest common multiple of 1071 and 1041.
371637
Calculate the common denominator of -9/522652 and -27/460.
2613260
Calculate the lowest common multiple of 19836 and 621.
1368684
Find the common denominator of 49/11245 and 95/312.
269880
What is the smallest common multiple of 3657 and 2760?
146280
Calculate the smallest common multiple of 570 and 15.
570
What is the common denominator of -181/18060 and -179/360?
108360
Calculate the least common multiple of 2350 and 1410.
7050
Calculate the lowest common multiple of 152 and 6650.
26600
What is the smallest common multiple of 5786 and 30?
86790
What is the lowest common multiple of 152 and 492?
18696
What is the common denominator of -59/2524 and -95/5048?
5048
Calculate the common denominator of -82/10863 and -59/2556.
43452
What is the lowest common multiple of 25889 and 9?
233001
What is the common denominator of 49/33630 and -43/25252?
7196820
Calculate the lowest common multiple of 136 and 2448.
2448
What is the lowest common multiple of 36890 and 5673?
6750870
What is the common denominator of 57/9715 and -45/16951?
2457895
Calculate the least common multiple of 920 and 272.
31280
Find the common denominator of 67/225910 and -22/261.
2033190
Calculate the smallest common multiple of 30 and 312755.
1876530
Calculate the common denominator of -33/187708 and -33/7.
1313956
Calculate the common denominator of -8/137 and -83/5172.
708564
What is the lowest common multiple of 96591 and 87810?
965910
Calculate the least common multiple of 51731 and 68.
206924
Find
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the ten millions digit of 509040433?
0
What is the ten millions digit of 2045838112?
4
What is the units digit of 104761342?
2
What is the thousands digit of 93229867?
9
What is the tens digit of 3879056350?
5
What is the ten millions digit of 196573953?
9
What is the billions digit of 1110445402?
1
What is the tens digit of 34731057?
5
What is the millions digit of 164995917?
4
What is the hundreds digit of 90725706?
7
What is the ten millions digit of 4917460028?
1
What is the thousands digit of 798026113?
6
What is the tens digit of 12872173?
7
What is the hundreds digit of 3170219428?
4
What is the tens digit of 47066176?
7
What is the ten thousands digit of 2239357134?
5
What is the thousands digit of 297634571?
4
What is the ten millions digit of 761681697?
6
What is the ten millions digit of 132375230?
3
What is the ten millions digit of 122524421?
2
What is the units digit of 133429055?
5
What is the tens digit of 633370561?
6
What is the units digit of 59596294?
4
What is the ten millions digit of 4292460955?
9
What is the units digit of 107144638?
8
What is the hundreds digit of 69765325?
3
What is the ten thousands digit of 103434757?
3
What is the hundred thousands digit of 49049627?
0
What is the millions digit of 13013024?
3
What is the ten millions digit of 3311674747?
1
What is the ten thousands digit of 3611573208?
7
What is the ten thousands digit of 11642333?
4
What is the tens digit of 38239924?
2
What is the hundred millions digit of 164364797?
1
What is the tens digit of 1098333547?
4
What is the millions digit of 264606493?
4
What is the hundred millions digit of 493420200?
4
What is the tens digit of 281581?
8
What is the ten thousands digit of 93260224?
6
What is the hundreds digit of 71967111?
1
What is the thousands digit of 3284025?
4
What is the hundreds digit of 72867416?
4
What is the ten thousands digit of 41708371?
0
What is the ten millions digit of 28390847?
2
What is the hundred thousands digit of 342666097?
6
What is the millions digit of 9088406?
9
What is the thousands digit of 98155170?
5
What is the hundreds digit of 657423286?
2
What is the millions digit of 25852973?
5
What is the billions digit of 4356087897?
4
What is the millions digit of 1274851679?
4
What is the hundreds digit of 1270839139?
1
What is the hundreds digit of 5717991892?
8
What is the hundred millions digit of 2992852080?
9
What is the tens digit of 6158086230?
3
What is the units digit of 635169?
9
What is the units digit of 48341545?
5
What is the hundred millions digit of 1282964951?
2
What is the ten thousands digit of 79021738?
2
What is the hundreds digit of 62104876?
8
What is the tens digit of 429572991?
9
What is the hundred thousands digit of 162626457?
6
What is the thousands digit of 6982106?
2
What is the ten millions digit of 3991606487?
9
What is the thousands digit of 10926656?
6
What is the millions digit of 148482343?
8
What is the ten millions digit of 84442367?
8
What is the hundred millions digit of 629920245?
6
What is the ten millions digit of 434956922?
3
What is the units digit of 135061038?
8
What is the units digit of 283130706?
6
What is the thousands digit of 324674329?
4
What is the units digit of 399438984?
4
What is the units digit of 4405259128?
8
What is the hundred thousands digit of 248768848?
7
What is the units digit of 1036746935?
5
What is the ten thousands digit of 45105158?
0
What is the thousands digit of 13768247?
8
What is the ten millions digit of 111755097?
1
What is the ten millions digit of 191007777?
9
What is the thousands digit of 260983034?
3
What is the units digit of 74198187?
7
What is the units digit of 125103949?
9
What is the ten millions digit of 569052085?
6
What is the ten millions digit of 44704169?
4
What is the tens digit of 75127034?
3
What is the ten thousands digit of 979455982?
5
What is the ten millions digit of 3040107401?
4
What is the millions digit of 23106292?
3
What is the units digit of 3101878673?
3
What is the ten thousands digit of 523280438?
8
What is the units digit of 96654074?
4
What is the millions digit of 172877835?
2
What is the ten thousands digit of 32377377?
7
What is the hundreds digit of 757377110?
1
What is the units digit of 56075507?
7
What is the hundred thousands digit of 378960476?
9
What is the ten thousands digit of 458271362?
7
What is the millions digit of 134924198?
4
What is the hundred millions digit of 780650838?
7
What is the hundred millions digit of 248087567?
2
What is the hundred millions digit of 2252062838?
2
What is the millions digit of 3548377?
3
What is the hundred thousands digit of 45105621?
1
What is the millions digit of 629594981?
9
What is the millions digit of 3812513231?
2
What is the ten millions digit of 68881103?
6
What is the ten thousands digit of 111380699?
8
What is the millions digit of 401847131?
1
What is the hundreds digit of 90024468?
4
What is the hundred millions digit of 1520143174?
5
What is the ten millions digit of 6236337270?
3
What is the millions digit of 639164659?
9
What is the hundreds digit of 4386049833?
8
What is the units digit of 54447784?
4
What is the hundred thousands digit of 2309212939?
2
What is the tens digit of 160766567?
6
What is the thousands digit of 7616828?
6
What is the thousands digit of 217722827?
2
What is the millions digit of 86696340?
6
What is the ten thousands digit of 97768496?
6
What is the units digit of 722194305?
5
What is the ten thousands digit of 696722105?
2
What is the ten thousands digit of 9767698?
6
What is the thousands digit of 228950344?
0
What is the hundred millions digit of 3876434875?
8
What is the units digit of 328788722?
2
What is the units digit of 1176777927?
7
What is the thousands digit of 448667914?
7
What is the hundreds digit of 184909868?
8
What is the ten millions digit of 1242798425?
4
What is the ten thousands digit of 58107189?
0
What is the ten thousands digit of 7172207?
7
What is the thousands digit of 4774069839?
9
What is the millions digit of 8851972?
8
What is the millions digit of 21212553?
1
What is the ten millions digit of 1294643556?
9
What is the tens digit of 510690482?
8
What is the units digit of 578318213?
3
What is the hundreds digit of 70908419?
4
What is the ten millions digit of 774982220?
7
What is the hundred millions digit of 546945040?
5
What is the tens digit of 1064395755?
5
What is the thousands digit of 20458925?
8
What is the thousands digit of 1268869888?
9
What is the millions digit of 1163239790?
3
What is the thousands digit of 1858182733?
2
What is the ten thousands digit of 58794251?
9
What is the ten thousands digit of 53868221?
6
What is the tens digit of 303179411?
1
What is the hundred thousands digit of 703300307?
3
What is the thousands digit of 4933700026?
0
What is the hundred thousands digit of 5992954486?
9
What is the millions digit of 16199260?
6
What is the units digit of 334780746?
6
What is the ten millions digit of 48979125?
4
What is the thousands digit of 249221123?
1
What is the hundred thousands digit of 393251261?
2
What is the hundreds digit of 55504577?
5
What is the hundreds digit of 123423739?
7
What is the hundred millions digit of 106938736?
1
What is the ten thousands digit of 3029002138?
0
What is the ten thousands digit of 92462191?
6
What is the ten millions digit of 2745065090?
4
What is the millions digit of 921631963?
1
What is the thousands digit of 15887533?
7
What is the ten millions digit of 1350074793?
5
What is the tens digit of 228964967?
6
What is the ten millions digit of 758800367?
5
What is the thousands digit of 28607520?
7
What is the hundred millions digit of 495255884?
4
What is the ten thousands digit of 1613270959?
7
What is the hundred millions digit of 1288282922?
2
What is the tens digit of 82574012?
1
What is the hundreds digit of 9422417161?
1
What is the ten thousands digit of 88157493?
5
What is the hundred thousands digit of 35862431?
8
What is the hundred thousands digit of 52632817?
6
What is the hundred millions digit of 325298753?
3
What is the hundred millions digit of 104901970?
1
What is the ten millions digit of 59774341?
5
What is the hundred thousands digit of 1586306?
5
What is the ten millions digit of 10
|
{
"pile_set_name": "DM Mathematics"
}
|
f.
-3
Let q(p) = -5*p - 30. Let y be q(-6). Suppose -w + y = -2. Suppose 2*r = w*i - 10, 2*i - 3*r = 6 + 9. Solve i = 4*n + 1 - 9 for n.
2
Let r be 20 + 18*(1 + -2)*1 + 9. Solve 4*m + 7 - r = 0 for m.
1
Suppose -4*r - k + 46 = 0, 37 = 3*r + 4*k - 2*k. Suppose -4*i + r + 9 = 0. Suppose g - i = -1. Solve -g*n + 5*n - 5 = 0 for n.
5
Suppose -f = 5*r - 143, -2*f - 137 = -5*r - 6*f. Suppose -17*d = -r*d + 96. Suppose k = 5*k - 16. Solve d*l = k*l for l.
0
Suppose -8*t = -11*t - 4*f + 9099, 0 = f - 6. Solve t*o - 8 = 3017*o for o.
1
Suppose -f + 17 = 3*f - 3*l, 4 = f - l. Suppose -32*p = -28*p - 196. Let c = -44 + p. Solve 10 = -f*x - c for x.
-3
Suppose 0 = -5*h - 4*u - 326 + 4091, 4*h + 5*u = 3003. Solve -2*o - h = -749 for o.
-4
Let s be 1*(11/(-4))/((-3)/24). Suppose -s*g - 15 = -25*g. Solve g*y = 4*y - 1 for y.
-1
Let a = -4940 + 4945. Solve 0*d + 2*d = a*d for d.
0
Let s = 28880 + -28848. Solve 0 = -95*o + 222 - s for o.
2
Suppose -3*t + 231 = 5*i + 183, 10 = 2*t - 4*i. Solve 5 = -t*a + 38 for a.
3
Let r(z) = z**2 + 47*z + 185. Let m be r(-35). Let u = m + 245. Solve u = -3*h + 4 for h.
-2
Let n = -551 + 553. Solve -n*q = 38*q - 80 for q.
2
Suppose -4*w + t = -325, -3*w + t = -4*w + 80. Let x be 2/(18/(-529)) - 18/w. Let h = 62 + x. Solve -q - 10 = -h*q for q.
5
Suppose 3*j - 12 = 3*c, 2*c - 18 = -2*j - 34. Let s be 4 - (c/(-15) - (-15)/25). Solve -5 - s = -2*k for k.
4
Suppose 13*g - 92 - 271 = 105. Solve -n - 5*n = g for n.
-6
Let s(h) = 2*h - 1. Let d be 2/(((-5)/(-6) + -1)*-4). Let l be s(d). Suppose -l*j = -15, -4*i = -j - 11 + 2. Solve 0 + i = k for k.
3
Suppose o + 20 = 6*o - 2*u, -3*o - 5*u = -12. Let z = 56 + -36. Suppose -z*x + 282 = -18. Solve r - o*r + x = 0 for r.
5
Let i(d) be the second derivative of d**5/20 - d**4 - 3*d**3/2 - 26*d**2 - 33*d + 3. Let m be i(13). Solve m = 3*s + 2*s + 5 for s.
-1
Let z = 14148 + -13974. Solve -i - z = -180 for i.
6
Let n(y) = -y**2 - 9*y - 7. Let j be n(-7). Let l(z) = -15*z + 0*z**2 + z**2 - 2*z + j*z. Let k be l(10). Solve o + o = k for o.
0
Let o(j) = -635*j + 81. Let d be o(0). Solve d*q = 86*q + 15 for q.
-3
Suppose 5*m = 9 - 29, -114 = y + 3*m. Let w = y - -127. Solve -14*j + w = -3 for j.
2
Suppose -2*y + 316 - 314 = 0, 3*i = -3*y + 3. Solve 18*s - 332 + 188 = i for s.
8
Let w = -5849 + 5896. Let j(r) = r**2 - 5*r + 4. Let s be j(5). Suppose s*q - w = -11. Solve h - q = -14 for h.
-5
Let m = 60 - 46. Let v(z) = z**3 - 15*z**2 + 15*z - 9. Let b be v(m). Suppose -b = 8*u - 5. Solve u*n = -5*n - 20 for n.
-4
Let t = 34600 + -34466. Solve 9*c + t = 188 for c.
6
Let c(t) = 23*t + 27. Let x be c(-7). Let r = x - -144. Solve -9*d = -r*d for d.
0
Let g(u) = 2*u**3 - 6*u**2 - 4*u. Let y be g(0). Solve -52*a + 183 + 129 = y for a.
6
Let a be ((-9440)/(-128))/(1/4). Let c = a + -293. Solve -7 - 1 = c*d for d.
-4
Let w(j) = -j**2 - 7*j + 8. Let y be w(-8). Let s be y - (-3)/9*0. Let b(n) = -3*n**2 + 144*n + 8. Let r be b(48). Solve 2*x - 4*x - r = s for x.
-4
Let m be 5/((-35)/(-49)) + 223. Let u = 232 - m. Solve 6 = u*s - 0 for s.
3
Let c be (1 - -2) + 0 + 4. Suppose 0 = -c*m + 4*m. Let f be 0*(7 + 27/(-4)). Solve f = -m*x + 4*x for x.
0
Let j be -7 + (-136)/(-20) - 26/(-5). Solve 113 - 98 = -j*z for z.
-3
Let r(l) = -l**3 - 15*l**2 - 8*l + 5. Let o be r(0). Suppose -3*n + 49 = 13. Solve -u = -o*u + n for u.
3
Suppose -119*v + 105*v = -280. Solve -26*m = 150 - v for m.
-5
Suppose 12278*b = 12299*b - 588. Solve 0 = -99*u + 92*u + b for u.
4
Let a be (-4)/(-10) + (-10)/25. Let y be 7*(-40)/1820*(-14 + 1). Let p(c) = -c**3 + 5*c**2 + 2. Let s be p(5). Solve a = -y*z - s*z for z.
0
Suppose 0 = -d + 4*z + 143, 27 = 2*d + 5*z - 285. Solve d*h = 140*h + 66 for h.
6
Let l(k) = -4*k + 24. Let z be (-6)/5 - 12/(-60). Let y be z/1*3/(-1) - -2. Let x be l(y). Solve f + 0*f = x for f.
4
Suppose -3 = -2*p - 5*h, -20*p + 21*p = -2*h + 2. Solve -p*b = -5*b - 3 for b.
-3
Let i(k) be the third derivative of -k**5/60 + 5*k**4/12 + 5*k**3/6 + 6*k**2 - 2*k. Let x be i(10). Solve 0 = x*w - 10 - 0 for w.
2
Let c be (-36)/(-2)*(-1)/((-21)/154). Suppose -138*i + c*i = -60. Solve -z = 7 - i for z.
3
Suppose -4*j = 2*w - 30, -10*w + 6*w + 12 = -4*j. Solve 2*v + j = -0 for v.
-2
Let u(t) = 29*t**3 - t**2 + 3*t - 2. Let m be u(1). Suppose -6*d - 67 = m. Let s = d - -18. Solve v - s*v = 1 for v.
-1
Let n(w) = 9*w**2 - 274*w - 1090. Let r be n(-4). Solve 34*k - r = -16*k for k.
3
Let x = -943 - -958. Solve -16*j + x*j = -3 for j.
3
Let s(m) = 8 + m**2 + 10*m - 13 - 16. Let j be s(-11). Let h be (3 - 15/6) + j/(-4). Solve p + h = -2 for p.
-5
Suppose 0 = 20*o - 7*o - 26. Suppose 0*f - b = o*f - 15, -4*b + 24 = 4*f. Solve -f*d - 8 = 1 for d.
-1
Let v = 300 - 228. Suppose -a + 76 - v = 0. Solve 6*f - a*f - 8 = 0 for f.
4
Suppose -15*s + 19*s - 3*g + 6 = 0, 0 = 2*g - 4. Let n be -6*(-1*2)/(-2). Let k = n - -10. Solve s*f - k = -f for f.
4
Let s(h) = -h**3 - 26*h**2 + 12*h - 326. Let r be s(-27). Solve r = 9*z + 52 for z.
3
Suppose 0 = 5*g - 36 + 41. Let r be (-1)/((-3 - g) + 1). Let t be r/(2*(-2)/(-28)). Solve t = 5*x - 13 for x.
4
Let a = 94 + -90. Suppose r + 5 = 2*g - a*r, -3*r - 3 = -g. Solve 5*k - 3*k - 10 = g for k.
5
Let y(f) be the second derivative of f**5/20 + 17*f**4/12 + f**2 + 2*f - 2. Let m be y(-17). Solve -m = 3*d + 4 for d.
-2
Let m be (-224)/(-42)*(-126)/(-48). Solve 55 = -m*g + 3*g for g.
-5
Let j be (7 + -1)*(-21 + 22). Let t(l) = -13*l**2 + 5*l - 10. Let y be t(j). Let d be (y/77 - -6) + (-9)/(-11). Solve p + 0 = d for p.
1
Let m be 4 - (-4 - (-5 + 3)). Suppose 3*c = 5*w - 20, c - m*c = 0. Solve w*u + 33 - 21 = 0 for u.
-3
Let v = 386 + -378. Let w be -7 - 1*(v - 18). Solve 4*x - 7 = -w*x for x.
1
Let t be (-11 + 1)*(-11)/22. Suppose 0*n + 2*n = 3*p - 14, -3*n - t*p - 40 = 0. Let g be (30/4)/(n/(-20)). Solve 3*l = -2*l + g for l.
3
Let r = 77 - 47. Let w be r/4*(-156)/18. Let a = 65 + w. Solve -3*p - 2 + 5 = a for p.
1
Let n be 4/6*(6 - 12) - -33. Let m(z) = -z**3 + 30*z**2 - 28*z - 25. Let a be m(n). Solve -a*p + 8*p = -4 for p.
-1
Let g = -651 + 659. Suppose l = -3*p - 1, -3*l = -g*l - 5. Solve -4*c - 6 - 10 = p for c.
-4
Let g(o) = 5*o**2 - 3*o - 3. Let f be -4 + (0 - 2) + 4. Let i be g(f). Suppose -4*h = 11 - i. Solve h = -5*u + 2*u for u.
-1
Let x = 4039 + -4034. Solve -19*v + x = -14 for v.
1
Let x be ((-18)/(-6) + -4)/(207/42 - 5). Solve -516*m = -523*m - x for m.
-2
Let x(n) = 2*n**2 + 22*n + 25. Let s be x(-13). Let o = 85 - s. Suppose 0 = 5*t - o - 7. Solve t*c = -0*c + 15 for c.
5
Let m(y) = y**3 - 5*y**2 + 4*y. Let j be m(5). Let i be -5 - (-1 + 2)*-32. Let h = i - j. Solve 2*z + h = 1 for z.
-3
Let n be (2 + (-8 - -3))*212/6. Let x = n - -9. Let z = x - -97. Solve -d = -z*d for d.
0
Suppose -3*n + 27 = -5*r, -4*r - 9 = -n - 0*r. Let q(j) = -j. Let o be q(-14). Suppose 0 = -i + 15 - o. Solve -n = 2*u - i for u.
-4
Suppose 70 = 26*y - 34. Let s(r) = -3*r - 12. Let c be s(-6). Solve c*g = y*g - 4 for g.
-2
Let p = 16505 + -16492. Solve p*x + 13 = -13 for x.
-2
Let t be (3*3)/(0 + 1). Suppose 3*o + 3*x - 45 = 0, -101*o + 100*o + 2*x = 18. Solve -1 + t = o*i for i.
2
Suppose 38*x - 405 - 3266 = -479. Solve x = 58*p - 32 for p.
2
Let c(q) = q**3 + 15*q**2 + 10*q - 43. Suppose -28*k - 336 = -4*k. Let m be c(k). Solve -4*a + 3 = -m for a.
4
Let a(v) = -v**3 - 34*v**2 + 37*v + 49. Let k be a(-35). Let b = k + 29. Suppose 30 = 12*s - 9*s. Solve -b*l = -3*l - s for l.
2
Let s(r) = r**3 + 11*r**2 + 182*r + 1378. Let k be s(-7). Solve k*c - 54 = 291*c for c.
6
Suppose -5*k + 0*s - 3*s - 12 = 0, -2*k - 20 = 5*s. Suppose 4*u = -k*u + 8. Let b be (1 - (5 - -2))/((-3)/u). Solve b*a + 25 = -a for a.
-5
Let k be ((-275)/100)/((-2)/(-8)) + 240. Solve -57*h + 227 = -k for h.
8
Let m be ((-18)/(-414)*0)/(1/1). Solve -2*k + 170 - 156 = m for k.
7
Let g be ((-84)/2)/6*3*(-48)/42. Solve 0 = g*k - 85 - 35 for k.
5
Let n(s) = -11*s + 125. Let b be n(11). Let y be 9/((2/b)/(2/6)). Solve -15*m + 12*m = -y for m.
2
Suppose -2*j + 31 = 139. Let y = j + 52. Let u(z) = -z + 1. Let n be u(y). Solve 0 = -n*w + 2*w + 1 for w.
1
Let v(d) = -425*d - 3283. Let n be v(-8). Solve 6*p = 19*p - n for p.
9
Let p(j) = -j**3 - 6*j**2 - j - 3. Suppose 4*g - 2 = -m, g + 22 = -5*m - 3*g. Let a be p(m). Suppose a*s = 4 + 8. Solve -v = -s*v for
|
{
"pile_set_name": "DM Mathematics"
}
|
nd biggest value? (a) 13 (b) l (c) y
c
Let i = -3689283/822227 + -146/5107. Let r = i + 31/7. Let d be (8/6)/(-3 - -1). What is the biggest value in d, 0.4, r, 3?
3
Let h = -44/1483 + 6152/7415. What is the second smallest value in -0.1, 5, h, 36/5?
h
Let s = -0.193 + 0.145. Let h = s - 0.052. Which is the second smallest value? (a) h (b) 5 (c) 12
b
Let q be (-34)/(-9) - (-12)/54. Suppose -o + 8 = k, 5*k + 6 - 1 = q*o. Let c = -261 - -261. What is the third smallest value in -0.08, c, o?
o
Let u = 0.6016 - 4.6016. Which is the fifth biggest value? (a) 14.8 (b) 5 (c) u (d) -0.1 (e) 2
c
Let l = -311/16 - -309/16. What is the second biggest value in l, -0.01, -1.6, 0.3?
-0.01
Let s(g) = g**3 + 4*g**2 - g. Let w be s(-4). Let h be 64 - 69 - (-10)/4*4. What is the smallest value in h, -5, w?
-5
Let k = -203 - -199. Let w = -1.96 - -1.86. What is the third smallest value in 0.1, w, 2/7, k?
0.1
Let v = -0.73 + -4.27. Let p = -6 + 8. What is the second smallest value in v, p, -0.15?
-0.15
Let t be (814/44 + -19)/(69/(-54) - -1). Let j be (6/4)/((-27)/(-4)). Let z = 0.1 + 0.4. Which is the second biggest value? (a) t (b) z (c) j
b
Let a = 290 + -4928/17. Let g(z) = -3*z + 16. Let v be g(7). What is the second smallest value in v, 1, a?
a
Let r(h) = -15*h - 2. Let i be r(-3). Let k = i + -36. Which is the second biggest value? (a) -7 (b) k (c) -0.2
c
Let v = -4669 + 4665.7. Which is the third biggest value? (a) v (b) 0 (c) 0.1
a
Let o = -2.055 - -2.555. What is the second biggest value in -8, 0, o?
0
Let t = 40 + -33. Let q = t + -11. Let k = 31 + -30.9. Which is the second smallest value? (a) q (b) k (c) 0.5 (d) 5
b
Suppose -3*x = -5 - 7. Let s = 9 - 6. Let l = -325.7 + 325.4. What is the second biggest value in -2/3, l, s, x?
s
Let y = -0.7868 - 6.2132. What is the second smallest value in -0.3, -47/4, -0.5, 5, y?
y
Let r = 0.039 - 161.039. Let y = r + 161.01. Which is the second biggest value? (a) 0.1 (b) y (c) -3 (d) 2/9
a
Let n = 0.6966 + -1.1966. Suppose -h = -5*h + 12. Which is the third smallest value? (a) n (b) h (c) 33
c
Let f = 0.2946 - -1.7054. What is the third biggest value in -4, 19/3, 4, f?
f
Let f = -4156 - -4159. What is the second biggest value in 0.3, f, 86/7?
f
Let y = 123973/15 - 8265. What is the smallest value in -31/4, 0, 1/4, 2/19, y?
-31/4
Let x = -12641 - -88489/7. What is the third biggest value in -24, 2, x, -0.006, -0.3?
-0.006
Let l = 19/153 - 4/17. Let i = 189.756 - 185.756. What is the third biggest value in 0.5, l, i?
l
Let h = -1848 - -2107.25. Let d = h + -259. What is the second smallest value in 2/5, d, 5?
2/5
Let z(s) = -1720*s - 3439. Let n be z(-2). What is the biggest value in -1/7, 8/15, -0.2, n?
n
Let j = 7 - 2. Let y = 12 + -30. Let g = 202902 + -202903. Which is the second smallest value? (a) g (b) 0.4 (c) j (d) y
a
Let c be (-2)/(-5)*(-3)/(-2). Suppose 0 = -4*v - 329 - 767. Let i = v + 1374/5. What is the second smallest value in c, 1/8, i?
c
Let x be (-220)/54 - (-9 - (3 - 8)). Let w = -0.13 + 0.33. What is the third smallest value in 4, w, x?
4
Let h = -0.0358 + 0.0258. Let r = 68 - 479/7. What is the second biggest value in r, -0.5, h?
r
Let m = 741 + -740.9. Let t be 1*(-340)/(1 - -3). Which is the third biggest value? (a) -3 (b) t (c) m
b
Let c = 48 + -47.41. Let b = c - 0.1. Let g = -0.39 + b. What is the second biggest value in -1/4, 2, g, -3/7?
g
Let p = 471/4 + -117. Let y = 185 + -180. Suppose -10 = -y*l - 0*l. What is the third biggest value in p, -7, l?
-7
Let f = 9559 + -9559. What is the second biggest value in 125, 2/17, f?
2/17
Let w = -0.2 - 0. Suppose 236*y + 1038*y + 1361 = -87*y. Which is the second biggest value? (a) -0.5 (b) w (c) -5 (d) y
a
Let m = 4/57 + -199/399. What is the fourth biggest value in m, 4, 0.08, 37?
m
Let v = -2 - 3. Let x be 7*((-34)/(-56))/(-17). Let d = -0.1 - 0.1. What is the smallest value in d, x, v, 0?
v
Suppose -41 = -n - 4*i, 2*i - 20 = -2*i. Let m be 6 + n/(-7 - -4). What is the third biggest value in -0.07, 4/3, 1/2, m?
-0.07
Let j be (-3 - -8) + -19 + 17. Which is the smallest value? (a) 39 (b) -14 (c) -0.1 (d) j (e) 0.3
b
Let u be 4 - 3 - ((-77)/35 + 5). What is the fourth biggest value in -1/8, u, -2/3, 1?
u
Let m = -1577/5250 + 11/750. Let y be ((-2)/5 - 0)*-2. Let z = -10 - -6. What is the third biggest value in y, z, m?
z
Let h = 0.02 + 3.98. Let w(n) = 4*n**2 + 225*n - 3. Let j be w(0). Which is the second smallest value? (a) h (b) -2/11 (c) -5 (d) j
d
Let q = -3/91 + -155/819. Let o = 0.004 - -1.996. Let w = 3528 + -3549. What is the third smallest value in q, w, 2/9, o?
2/9
Let r = -8 - -6. Suppose -10*x - 2004 = -5*w - 14*x, 5*x = -20. Let u = w + -404. Which is the fourth smallest value? (a) u (b) -5 (c) 1 (d) r
c
Let w = 7.07 + -4.07. Let f = -0.521 - -0.621. Which is the fourth smallest value? (a) -23/3 (b) f (c) 0.4 (d) w
d
Let i = 12664 + -12665.07. Which is the biggest value? (a) 5 (b) -1.2 (c) i
a
Let s be 1/(-17)*(-3)/3. Let h be (-43 - (-4709)/51) + -50. What is the fourth biggest value in h, 1, 4, s?
h
Let y be (-10)/(-4) + (-11583)/4662. Which is the second smallest value? (a) -2 (b) 0.2 (c) y
c
Let i be (-77)/84 - -1*(-2)/6. Let b = 0.08 + 0.12. Let t = 0.017 + 0.083. What is the biggest value in t, i, b?
b
Let t = 954 - 758. Let l = 200 - t. Which is the smallest value? (a) 0.4 (b) l (c) 3/2 (d) -5
d
Let n = -16096 + 16827.9. Let y = n - 732. What is the fourth biggest value in y, 2/7, 1.5, 3?
y
Let j = -356.85 + 356.8. Let k = 16 + -13. Let i = 3.3 - k. Which is the biggest value? (a) -1 (b) -1/4 (c) j (d) i
d
Suppose -179*h = 5*b - 174*h, 3*b = 3*h. Let n = -14/11 + 20/33. What is the third smallest value in 3/4, -0.1, n, b?
b
Let z = -4.496 + 3.996. What is the third smallest value in 4, 2, z, 0.483?
2
Let o be ((-35)/(-50) - (-7 - -8))*-10. Let z(c) = -c**3 + c**2 - c + 25. Let x be z(o). Let j = 2365/8 + -296. What is the second biggest value in x, 5, -4, j?
x
Let i = 505.92 + -540. Let a = 0.28 + i. Let r = a - -34. What is the second biggest value in r, -3/2, -1?
-1
Let o = 36.2 + -200.2. Let k = -179 - o. Let s = 0.37 + 0.03. What is the second biggest value in 3/2, 2, s, k?
3/2
Let l(f) = -f**2 + 46*f - 48. Let k be l(45). Which is the smallest value? (a) 1/306 (b) k (c) -2/5 (d) -0.1 (e) 2
b
Let m = -1355 + 1354.88. What is the second biggest value in -1/2, -2, m, -4/5?
-1/2
Let z = 53/4 - 7/4. Let q = z + -153/14. Which is the biggest value? (a) q (b) 4 (c) 9.1 (d) -0.2
c
Let z = -223 + 151. Let n = 73 + z. Let t = 6 + n. What is the second smallest value in t, -1/2, 0, 1/7?
0
Let i = -5.3 - -5. Let r = 0.05 - -4.95. Which is the second smallest value? (a) 3 (b) i (c) r
a
Let z = 49 - 56. Let n be (5/10)/(3/((-12)/z)). Let j = -15.2 - -15. What is the second biggest value in -2, n, j?
j
Let h be ((-10)/25)/(2 - 747/375). Let s be 3/(-6) - (h/(-4))/(-5). Let t be 4*1 + (s - 7). Which is the biggest value? (a) -4 (b) -0.3 (c) t (d) 4
d
Let w = -422 - -216. Let l = 205.5 + w. What is the biggest value in l, -5, 0?
0
Let z = 3226 - 16137/5. Which is the second smallest value? (a) -0.5 (b) 1 (c) 5 (d) z
a
Let a = -466 - -417. Let o = a - -53. Let t be 5/2 + (-1)/(-2). What is the smallest value in t, -2/27, o?
-2/27
Let t = -20902 + 146313/7. What is the smallest value in -0.1, 79, -13, t, -4?
-13
Let s = 98 - 96. Let t = -9.3 + -6.3. Let r = t + 16. Which is the fourth biggest value? (a) 4 (b) s (c) 2/9 (d) r
c
Let v = 7 + -7.69. Let j = v - -1.19. Which is the third smallest value? (a) 18 (b) j (c) 2/19
a
Let f = -81 - -125. Let t = f - 41.8. Let b = 0.2 - t. What is the biggest value in -0.09, b, 0.4?
0.4
Let o = -16.879 + 16.939. What is the third smallest value in -0.3, 0, o, -2/5?
0
Let g = -356 + 353. Let t be 10/(3 + (-22)/6). Which is the smallest value? (a) g (b) -4 (c) t
c
Let x = 16352 + -16359. Which is the third smallest value? (a) -0.01 (b) x (c) -1/11
a
Suppose 2412 = -7*j + 193. Let g = j + 633/2. Let n(l) = 3*l + 1. Let u be n(-2). Which is the smallest value? (a) -0.05 (b) g (c) u (d) -0.4
c
Let t = -420.2 - -420.2. What is the fourth smallest value in 0.1, t, 2/7, -2, 15?
2/7
Let w = -4990 - -49
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate j(-61).
10
Let c(t) = -48384*t - 628999. Calculate c(-13).
-7
Let m(d) = 2*d**3 - 35*d**2 + 63*d - 173. Calculate m(16).
67
Let n(l) = 24143*l - 1907287. Give n(79).
10
Let u(n) = 23*n**3 - 5996*n**2 - 1855*n + 7303. Determine u(261).
-5
Let k(f) = 41*f + 1727. What is k(-80)?
-1553
Let z(q) = 2*q**2 + 3700*q - 89223. Give z(24).
729
Let q(w) = -1656754*w - 9940548. Determine q(-6).
-24
Let j(p) = -11536*p - 46159. What is j(-4)?
-15
Let f(s) = -1581*s - 1941469. Determine f(-1228).
-1
Let d(t) = t**3 - 331*t**2 + 2549*t + 298. Give d(8).
18
Let j(b) = -b**2 + 976*b - 90711. Give j(104).
-23
Let d(k) = 116*k + 5299. Give d(-40).
659
Let c(o) = 9629*o - 587327. Give c(61).
42
Let y(l) = l**3 + 6*l**2 + 1291*l + 5191. Give y(-4).
59
Let n(i) = 18*i**2 - 6813*i + 3350. Determine n(378).
-52
Let p(s) = -3061*s + 15429. Give p(5).
124
Let w(a) = -1064940*a + 2129862. What is w(2)?
-18
Let n(v) = 306*v + 17430. Calculate n(-53).
1212
Let o(y) = -y**2 + 35*y + 1454. Calculate o(55).
354
Let y(a) = 171*a**2 + 258*a - 177. What is y(-3)?
588
Let a(f) = 2*f**3 - 227*f**2 - 1305*f - 415. What is a(119)?
61
Let l(c) = c**3 + 61*c**2 - 963*c - 96. What is l(-74)?
-22
Let r(n) = 492*n**2 - 7373*n - 91. Determine r(15).
14
Let u(b) = -91300*b + 639094. Give u(7).
-6
Let k(v) = -1007*v + 150585. What is k(149)?
542
Let p(d) = -350*d**2 + 3916*d - 726. What is p(11)?
0
Let x(j) = 3359*j + 10510. Determine x(-3).
433
Let c(k) = 6*k**3 - 196*k**2 - 206*k - 817. What is c(34)?
1427
Let h(f) = -6094*f + 30552. What is h(5)?
82
Let u(m) = 20595*m - 23025212. What is u(1118)?
-2
Let w(z) = -9*z**3 - 45*z**2 + 632*z + 3149. Calculate w(-5).
-11
Let u(k) = -12433*k - 86593. What is u(-7)?
438
Let v(j) = 6476*j + 3451737. Calculate v(-533).
29
Let g(j) = 21014*j**2 + 21244*j + 5. Determine g(-1).
-225
Let f(b) = -97008*b + 97073. Give f(1).
65
Let t(u) = u**3 + 77*u**2 - 2311*u + 5312. Determine t(21).
-1
Let x(i) = -3*i**3 + 10*i**2 + 16*i - 20. What is x(-9)?
2833
Let t(w) = w**3 + w**2 - 333*w - 10. What is t(17)?
-469
Let t(z) = -z**3 + 19*z**2 + 77*z - 247. Calculate t(22).
-5
Let a(t) = 237*t + 90050. What is a(-380)?
-10
Let v(p) = -p**3 - 185*p**2 - 5838*p - 9573. Give v(-38).
3
Let p(d) = d**2 - 181*d - 18437. Calculate p(255).
433
Let b(w) = -3*w**3 + 291*w**2 - 5110*w + 245. Calculate b(74).
-51
Let d(m) = m**3 - 126*m**2 - 1359*m - 173. Calculate d(136).
-37
Let f(d) = -2*d**3 + 110*d**2 - 18*d + 61. Calculate f(55).
-929
Let r(t) = 10*t**3 - 747*t**2 - 248*t + 1610. Give r(75).
-115
Let z(d) = -204*d**2 - 3046*d + 218. Calculate z(-15).
8
Let v(y) = -12048*y - 180715. What is v(-15)?
5
Let v(i) = 57*i**3 + i**2 - 6502*i + 6502. Give v(1).
58
Let f(x) = 3817*x + 34272. Determine f(-9).
-81
Let q(h) = -14234*h + 227744. What is q(16)?
0
Let r(k) = 25*k**2 + 34*k - 60. Calculate r(-9).
1659
Let v(c) = 4*c**2 + 784*c + 21060. Give v(-164).
68
Let c(d) = d**2 + 142*d - 1722. What is c(9)?
-363
Let d(u) = -27326*u + 929106. Give d(34).
22
Let f(q) = 2*q**2 + 1208*q + 33367. What is f(-29)?
17
Let j(w) = 68*w**2 - 4015*w + 7916. Calculate j(57).
-7
Let d(y) = -207*y**2 + 852*y - 1702. Determine d(2).
-826
Let t(o) = -o**3 - 48*o**2 - 131*o + 1974. Determine t(-9).
-6
Let w(y) = 2*y**2 + 268*y - 52917. Calculate w(109).
57
Let l(m) = -9*m**2 + 127*m - 81. What is l(9)?
333
Let d(x) = -5*x**2 - 284*x - 1561. What is d(-51)?
-82
Let s(r) = 596*r - 37584. Calculate s(63).
-36
Let j(h) = -10*h + 468. Give j(25).
218
Let z(m) = -33*m**3 + 9*m**2 - 8*m - 2. Give z(1).
-34
Let n(j) = -j**3 - 8*j**2 - 177*j + 783. What is n(4)?
-117
Let z(h) = -2*h**2 + 2136*h - 8504. Calculate z(4).
8
Let u(n) = 3*n**3 - 10*n**2 - 3727*n + 11196. Give u(3).
6
Let t(k) = -1057*k - 123688. Give t(-117).
-19
Let a(r) = -r**3 + 125*r**2 + 533*r - 2596. Calculate a(129).
-403
Let f(t) = -t**3 - 43*t**2 - 234*t - 6. Calculate f(-37).
438
Let t(g) = 6538*g + 11500339. Give t(-1759).
-3
Let k(o) = -o**2 + 139*o - 530. Give k(0).
-530
Let u(i) = i**3 - 299*i**2 - 1043*i - 51181. What is u(303)?
26
Let i(r) = -1086*r**2 - 310*r + 612. Give i(2).
-4352
Let m(s) = 2*s**3 + 1336*s**2 + 2664*s - 561. What is m(-666)?
-561
Let b(g) = 770*g**2 + 3808*g - 257. Give b(-5).
-47
Let q(t) = 17*t**2 + 400*t + 1207. Give q(-3).
160
Let d(l) = -3*l**3 + 41*l**2 + 736*l - 10327. Determine d(13).
-421
Let b(h) = 7*h**3 - 344*h**2 - 31*h + 3279. Give b(49).
-641
Let k(q) = 36*q**2 - 7*q - 76. Calculate k(2).
54
Let j(p) = 7*p**3 + 12*p**2 + 25*p + 40. Determine j(-2).
-18
Let f(c) = 6*c**3 + c - 16. What is f(-4)?
-404
Let m(s) = 631*s + 6640. What is m(-22)?
-7242
Let r(a) = -10848*a + 1063196. What is r(98)?
92
Let t(n) = -2*n**3 + 4*n**2 - 940*n + 5626. What is t(6)?
-302
Let i(y) = 23306*y + 139788. What is i(-6)?
-48
Let i(h) = -3*h**3 + 149*h**2 - 1657*h - 3723. Determine i(22).
-5
Let r(z) = -2*z**2 - 72*z + 441. Determine r(-23).
1039
Let a(h) = 56798*h - 7. Give a(0).
-7
Let h(z) = -z**2 - 351*z + 13055. Determine h(-385).
-35
Let b(g) = 153*g**2 - 226*g - 153. Calculate b(2).
7
Let m(f) = 1402*f**2 + 1421*f + 62. What is m(-1)?
43
Let v(f) = -f**2 + 140*f - 4906. Determine v(66).
-22
Let n(d) = -18*d**2 + 36*d + 820. What is n(8)?
-44
Let p(v) = -v**3 + 3734*v**2 - 22389*v + 119. Give p(6).
-7
Let t(m) = m**2 - 72625*m + 145252. Give t(2).
6
Let q(u) = -u**2 - 2309*u + 416082. Give q(168).
-54
Let b(u) = -u - 37. Calculate b(-281).
244
Let f(p) = 145*p + 7741. What is f(-48)?
781
Let k(s) = -17*s**3 - 9*s**2 + 121*s + 5. Determine k(-3).
20
Let u(x) = 4*x**2 + 3389*x - 152173. Determine u(-890).
17
Let c(l) = 128*l**2 + 1753*l + 1172. Give c(-13).
15
Let l(u) = -3*u**3 - 874*u**2 + 6879*u + 618. Determine l(-299).
20
Let n(i) = -3*i**2 - 163*i - 3453. Determine n(-20).
-1393
Let c(r) = -26271*r - 131331. Determine c(-5).
24
Let y(d) = -63044*d - 11978357. Give y(-190).
3
Let c(j) = -20132*j + 40263. Determine c(2).
-1
Let g(z) = 3*z**2 - 224*z + 126. Calculate g(75).
201
Let q(g) = -36292*g + 326620. Calculate q(9).
-8
Let v(g) = -21290*g - 1170954. Determine v(-55).
-4
Let l(f) = -10*f**3 + 400*f**2 + 40*f - 2762. Calculate l(40).
-1162
Let j(f) = -713*f + 15642. Determine j(22).
-44
Let i(t) = -580*t**2 - 66120*t + 293. Calculate i(-114).
293
Let z(l) = -1712*l + 17294. What is z(10)?
174
Let a(j) = j**2 - 247*j - 9376. Calculate a(-33).
-136
Let q(c) = -2454*c - 49671. Give q(-21).
1863
Let z(q) = 3218*q**2 + 22505*q + 19. Determine z(-7).
166
Let v(l) = 51*l**2 - 855*l - 2549. What is v(-3)?
475
Let l(u) = u**2 - 262*u - 9734. What is l(-32)?
-326
Let a(g) = 17*g**2 - 179*g + 828. Calculate a(5).
358
Let y(m) = -192*m - 1294. Calculate y(-11).
818
Let t(i) = 231868*i - 20404370. Determine t(88).
14
Let w(i) = 18350*i + 1229416. Give w(-67).
-34
Let f(d) = d**2 + 224*d + 3493. Calculate f(-43).
-4290
Let h(l) = 13*l + 137. What is h(-23)?
-162
Let b(l) = -9*l**2 + 420*l + 5309. Determine b(-12).
-1027
Let f(b) = 1322852*b + 13228492. Calculate f(-10).
-28
Let q(w) = w**2 + 55*w + 69. Give q(-45).
-381
Let d(j) = -j**3 + 35*j**2 - 27*j + 1215. Give d(35).
270
Let l(b) = -13*b**3 - 24*b**2 - 141*b + 13. What is l(-5)?
1743
Let g(t) = 4374*t - 1924568. Calculate g(440).
-8
Let j(t) = -2*t**3 - 24*t**2 + 346*t - 524. What is j(7)?
36
Let q(c) = 58*c**2 + 352*c - 1080. Give q(3).
498
Let x(t) = 383*t + 14604. Give x(-51).
-4929
Let c(g) = 2*g**2 - 8228*g + 1874053. Calculate c(242).
5
Let u(b) = -b**3 - 4*b**2 + 389*b - 48. Calculate u(-22).
106
Let s(a) = -336*a**2 + 2995*a - 2453. Determine s(8).
3
Let p(c) = -1387*c + 2767. Determine p(2).
-7
Let y(i) = i**3 + 3*i**2 - 281*i - 1101. Give y(-4).
7
Let h(u) = -u**2 + 149*u - 2782. Determine h(128).
-94
Let a(p) = 665*p - 197622. Give a(298).
548
Let i(f) = 647*f - 20707. Determine i(32).
-3
Let d(g) = -285*g + 18997. Determine d(67).
-98
Let y(k) = 299*k**2 - 20033*k + 18. Calculate y(67).
18
Let n(l) = -1859*l + 109895. Calculate n(59).
214
Let u(h) = -6673*h - 60102. Give u(-9).
-45
Let v(q) = 29*q**3 + 5224*q**2 + 721*q + 100. Calculate v(-180).
-80
Let u(w) = -17*w**2 - 2619*w - 10639. Give u(-4).
-435
Let l(y) = -y**3 + 109*y**2 + 681*y - 81. Determine l(-6).
-27
Let v(w) = 200*w**2 + 12818*w + 1114. What is v(-64)?
-38
Let t(g) = 41*
|
{
"pile_set_name": "DM Mathematics"
}
|
(-42)/k)*(-105)/(-6)?
True
Let p(b) = -b**3 + b**2 + b. Let s be p(2). Let r be (1/2)/(s/(-36)). Let k = r + 19. Is 7 a factor of k?
True
Let z(n) = -7*n - 32. Let c be z(-5). Suppose 268 = c*o + 52. Is 6 a factor of o?
True
Let u = 2152 + -864. Does 23 divide u?
True
Let q = -391 - -779. Is q a multiple of 43?
False
Let b be (15/20)/(1/(-8)). Let v(f) = -f**3 - 6*f**2 + f + 6. Let i be v(b). Does 10 divide (i + -2)/((-3)/15)?
True
Suppose -5013 = -5*g + 9447. Is g a multiple of 25?
False
Let r(z) = 2*z**2 + 9*z - 4. Suppose 0 = 2*w - 0*w + 46. Let d = w + 16. Is 13 a factor of r(d)?
False
Suppose j + 5*t - 7 = -2*j, 5*j - 25 = 5*t. Suppose -53 = -a - j*y + 4, 2*a - 2*y - 144 = 0. Is 50 a factor of a?
False
Let o(c) = -7*c + 208. Does 2 divide o(13)?
False
Let o = -34 - -36. Suppose o*g = 6*g - 280. Is g a multiple of 14?
True
Let h be 3*(-3)/(-9) + 2 + 0. Suppose h*i - 5*i + 64 = 0. Is i a multiple of 8?
True
Suppose 1693 = 11*u + 54. Let d = 233 - u. Does 21 divide d?
True
Suppose -5*s + s + 3581 = -p, 5*p + 1795 = 2*s. Does 34 divide s?
False
Suppose -a - 101 + 519 = 0. Is a a multiple of 19?
True
Does 6 divide (-3)/(-3)*(-2)/4*-180?
True
Let f = -658 - -826. Does 28 divide f?
True
Suppose 0 = 6*x - 3*x - 90. Suppose c = 4*c + x. Let g(u) = u**3 + 9*u**2 - 11*u + 9. Is g(c) a multiple of 9?
False
Let c = 1210 - 628. Is 35 a factor of c?
False
Let m(t) = -8*t**3 + 7*t**2 + 6. Let r(d) = 15*d**3 - 15*d**2 - d - 13. Let n(f) = -9*m(f) - 4*r(f). Does 10 divide n(2)?
True
Let r(y) = 2 - 1 + y + 4 + 3. Does 8 divide r(16)?
True
Suppose 2*c + 146 = x + c, -3*c + 267 = 2*x. Does 33 divide x?
False
Let x(z) = 7*z - 4. Let r be x(2). Suppose 0 = -14*l + r*l + 100. Is l a multiple of 25?
True
Suppose -10 = 5*q - 4*y, 5*q + 3*y = -0*y + 25. Suppose q = m - 0. Suppose m*j = 4*j - 138. Does 23 divide j?
True
Suppose -20*s - 2100 = -6*s. Let b = -111 - s. Is 13 a factor of b?
True
Suppose -264*f - 274 = -266*f. Is 18 a factor of f?
False
Suppose -52*h = -30*h - 6160. Is h a multiple of 8?
True
Let a = -1378 + 3106. Is 64 a factor of a?
True
Suppose 10 + 13 = -5*u + 2*t, 0 = -2*t + 8. Let f be 46/4 - 1/2. Let n = f + u. Is n a multiple of 8?
True
Let s = 30 + -57. Let x be 36/s*33/2. Is 22 a factor of (x/1)/((-3)/9)?
True
Let q(y) = -63*y**3 + y**2 + 11*y + 3. Let p be q(-3). Suppose 113*g = 118*g - p. Is 14 a factor of g?
True
Suppose y + 2*y + 4*p = -19, 3*y - 2*p - 5 = 0. Is 6 a factor of ((-42)/y)/(1 - 0)?
True
Let o(j) = j**2 - j + 11. Let v(d) = -d. Let y(x) = o(x) - 4*v(x). Let b be 4*(-25)/80*4. Is y(b) a multiple of 7?
True
Suppose 0 = -30*u + 31*u. Suppose 2*m + 2*m = -3*w - 7, -3*m - 12 = u. Suppose -2*c + 39 = w. Does 18 divide c?
True
Suppose -2*b = -3 - 5. Suppose -b*w + 4 = -2*w. Is 19 a factor of 57 - w/(-8)*0?
True
Let y be ((-18)/(-10))/(1 - (-14)/(-20)). Suppose 2*j = y*j - 16. Is j a multiple of 3?
False
Suppose 20 = 4*g - 16. Suppose 44 - g = t. Suppose -b + t - 5 = 0. Does 30 divide b?
True
Suppose -a + 2*d - 2 = 0, 9*a - 12 = 4*a - d. Suppose 0 = -a*x - 5*f + 89, -3*x + 4*f = -26 - 73. Is 7 a factor of x?
False
Suppose -5*y - 360 = -15*y. Does 18 divide y?
True
Is 9786/9 + 8/(-12)*-1 a multiple of 11?
False
Let h(f) = -4*f**3 + f + 1. Let p(x) = x + 1. Let u be p(-2). Let c be h(u). Is (9 + -7)*58/c a multiple of 13?
False
Suppose -18 = 6*q - 36. Let v(c) = 14*c**3 + 4*c**2 - 5*c - 3. Does 18 divide v(q)?
True
Let w(q) = -18*q - 2. Let m(h) = -h**2 + 7. Let r be m(3). Is 15 a factor of w(r)?
False
Suppose -l + 2*g + 57 = 0, 0*g + 2*g = -2*l + 102. Suppose -196 = l*m - 55*m. Does 20 divide m?
False
Let w = -6 + 86. Suppose 4*r + 4*l = w, -2*r + 5*l + 31 = -44. Let t = r + -18. Does 7 divide t?
True
Let t = -244 - -504. Is t a multiple of 7?
False
Let g be (1 - 8/(-3)) + 71/213. Suppose 104 = -0*r + g*r. Does 26 divide r?
True
Let n = -6008 + 10388. Is 146 a factor of n?
True
Suppose -z + 3*f + 15 = 0, 4*z + f + 0*f - 47 = 0. Let j = z - 3. Does 2 divide j?
False
Suppose -5*n - 5*x + 2810 = 0, -2*n - 4*x + 1128 = -0*n. Suppose n = 7*t - 3*t. Is t a multiple of 12?
False
Let z(f) = -3*f**3 - f. Suppose 1 = -0*h - h. Let t = h - 1. Does 14 divide z(t)?
False
Let d = -1278 + 1422. Is d a multiple of 48?
True
Suppose 0 = -3*x - 8*h + 9*h + 4771, 4*h + 1583 = x. Does 53 divide x?
False
Suppose -u + 4*n = -2712, 4*u = 2*n + 3*n + 10892. Does 22 divide u?
True
Does 7 divide 884/7 - (-96)/(-336)?
True
Let t(w) = 155*w + 120. Is t(7) a multiple of 5?
True
Let h = 1 - -3. Suppose -f = -3*g - 54, -5*f - 5*g + 70 = -h*f. Suppose -k + 3*k - f = 0. Does 15 divide k?
True
Suppose 12 = -k + 2*d, -5*k - 9 = -2*k + 3*d. Let l(a) = -a**3 + a**2 + 14*a + 1. Does 8 divide l(k)?
False
Let h = 24 - -44. Suppose 2*a + 3*a = -10, w - 2*a - h = 0. Suppose -i = 2*j - 4*i - 155, -j - 3*i = -w. Is 19 a factor of j?
False
Is 5 + (-2)/(-14) + 4632/14 a multiple of 12?
True
Is 14 a factor of (-13)/(39/(-180)) + 3 + -7?
True
Is 18 a factor of (-21)/(-14)*1992/9?
False
Suppose 2*l - 12 = -l. Suppose 4*d = -4*b - 4, -4*d - 3*b = l - 1. Suppose z - 41 = -5*x, -2*x - 5*z + 2*z + 19 = d. Is x a multiple of 8?
True
Suppose 4*p - 3*i = -216, -p - 3*i - 54 = -0*p. Let c = p + 94. Is 20 a factor of c?
True
Suppose -109*w = -105*w - 3052. Is 59 a factor of w?
False
Suppose -4*a + 4*z = 0, 1 = -4*a + 5*z - 4. Suppose -a*m = -3*m - 16. Suppose -f = -d - 22, -f - m = 4*d - 50. Does 14 divide f?
False
Suppose -n - 14 = -34. Let w(g) = -g**2 - 10*g + 2. Let l be w(-10). Suppose -l*c + c = -n. Does 10 divide c?
True
Let w(t) = -23*t**3 + 3*t**2 - t + 1. Let q be w(2). Suppose -6448 = 11*x - 37*x. Let u = x + q. Does 25 divide u?
True
Let u be 10*(2*(-2)/(-8))/1. Is 12 a factor of u/(5/(-132))*3/(-6)?
False
Let g be -2 + 3*(9 + -5). Suppose -h + g = 5*s, 0 = -3*s - 5 - 7. Does 5 divide h?
True
Let i = 392 + -213. Is i even?
False
Let n = -300 - -180. Let s = n + 168. Does 16 divide s?
True
Suppose 0 = -4*a - a - 2*m - 6, -4*m = a + 12. Suppose 0*w + 2*w = a. Suppose 0*l + 50 = p - 4*l, 4*p + 5*l - 95 = w. Is p a multiple of 10?
True
Let k(v) = 4*v - 2. Suppose -4*j + 5*d = -10, -3*j - 2*j = -2*d - 21. Let a be k(j). Suppose -g - z = -16, 4*g - 5*z = 2*g + a. Is 14 a factor of g?
True
Let g = 2113 + -1505. Is g a multiple of 4?
True
Does 68 divide (-17)/(-51) - 3984/(-9)?
False
Let c = -56 + 95. Let b = -36 + c. Suppose f - 96 = -b*f. Is 9 a factor of f?
False
Suppose -10*y = -12*y + 248. Is 31 a factor of y?
True
Let c be 3 - (-5)/(10/(-4)). Let q be (c - 3)*13/26. Is (-6)/(-3) - 64/q a multiple of 11?
True
Let r(k) be the second derivative of k**4/4 + k**3/2 + 3*k**2 - 8*k. Is 4 a factor of r(-3)?
True
Let v be (136/(-12)*-1)/((-2)/(-3)). Let h(s) = s**2 - 13*s + 2. Is h(v) a multiple of 10?
True
Suppose 22 = 3*a - a. Suppose 5*q = q + 5*b + 3, 3*b = -4*q + a. Suppose -q*n + 10 = -n. Is 5 a factor of n?
True
Let r = 23 - 20. Is 11 a factor of -1 - -31 - (-9)/r?
True
Let s(j) be the third derivative of -j**4/24 + 20*j**3/3 + 11*j**2. Is s(19) even?
False
Suppose -526 = -7*u + 678. Is u a multiple of 8?
False
Let v(c) = 108*c + 1 - 105*c + 2. Suppose 4*b = -3*k + 59, 4*b - 7*k + 2*k - 19 = 0. Does 8 divide v(b)?
False
Suppose 3*p = 24 - 234. Does 17 divide (-4250)/p + (-2)/(-7)?
False
Suppose -2*t = -0 - 6. Does 28 divide 5280/50 - t/((-15)/2)?
False
Suppose -5*g = 4*i - 1229, 5*i - 3*g + 321 = 1848. Is i a multiple of 17?
True
Let g be 4/(0 - -3 - 1). Suppose 3*f = g*f + 17. Suppose k = f + 1. Is 7 a factor of k?
False
Let u be ((-2)/4)/((-4)/40). Suppose -2*n + 2*c - 5 = u*c, n + 5 = -2*c. Suppose 4*r + 80 = m - 6, 0 = -3*m + n*r + 223. Is 22 a factor of m?
True
Let j(z) = -41*z + 309. Is 9 a factor of j(6)?
True
Let z = -680 + 704. Is z a multiple of 5?
False
Suppose 596*r - 597*r = -1696. Is r a multiple of 8?
True
Suppose 688 = h + 3*h. Let u = 367 - h. Suppose 5*c + 3*w - u = 0, 0*c + 4*w - 92 = -2*c. Is 12 a factor of c?
True
Suppose 5*r - 11 = 4. Suppose 3*x = -s + 199, 3*s = -x - 2*s + 43. Suppose -f - r*f = -x. Is 14 a factor of f?
False
Suppose -5*j - 5*k + 1975 = -2*k, 5*k = -2*j + 771. Let o = j + -222. Is o a multiple of 22?
True
Let h = 1193 - -181. Does 49 divide h?
False
Suppose -5*n - 8 = 2. Let l(p) = -p**3 - 12*p**2 - 10*p - 10. Let q be l(-11). Does 13 divide
|
{
"pile_set_name": "DM Mathematics"
}
|
-2). Solve -5*n = h, 4*r = -0*r + 3*n + 15 for r.
0
Suppose 0*d - 2*d + 10 = 0. Let o be 2*1*2/(-2). Let r be (o + 3)*(2 + 1). Solve d = r*i - j - 3, 2*i = -2*j for i.
2
Let u = 2 - 1. Let w be ((-4)/5)/(6/(-45)). Let q = -4 + w. Solve -3*g + u = -5*y - 9, q*y + 5*g = -35 for y.
-5
Let x(t) = t**3 - 3*t**2 - t + 4. Let i be x(4). Solve 4*y - 6*g = -g + i, 15 = 5*y - 5*g for y.
-1
Let q = 12 + -7. Let o = 7 - q. Solve -c - g - 1 = -o*g, c - 1 = -g for c.
0
Suppose 10*n - 32 = 2*n. Solve 4*b - 3*h = 1 - 18, -3*b + n*h = 18 for b.
-2
Suppose -5*o - 20 = -5*k, -k + 12 = 3*o + 2*k. Solve 2*d - 4*d - 20 = -3*z, -4*z - 4*d = o for z.
4
Let b be 4/24 - 46/(-12). Solve -4*m = 3*h - h + 8, 5*h + 20 = -b*m for h.
-4
Let u = 6 - 3. Suppose -4*h - 4*w + 25 = -u*w, 0 = -h - 4*w + 10. Let z(o) = 12*o + 14. Let g be z(0). Solve -m + 5*c - g = 0, 5*m - 2 - h = -c for m.
1
Suppose 0 = -3*p - n + 12, 2*n + 15 = 7*n. Solve -5*a - p*q - 2 = 0, q + 2 = 3*q for a.
-1
Suppose 40 = 5*m - 3*m. Solve -m = -4*o, -o = -j + 4*j + 7 for j.
-4
Let f be ((-2)/3)/(2/3). Let h be 4 + f + 4 + -2. Solve 0 = -d - h*i - 6, 0 = 5*d + i - 3*i - 24 for d.
4
Let o(y) = y + 8. Let k be o(-5). Solve 0 = -4*j + 20, k*s = -2*j + 7*j - 19 for s.
2
Suppose -3*q = -4*h + 30, 0*q - 5*h - 15 = 5*q. Let d be 6/(-4) + 39/q. Let w = d - -8. Solve -4*b + w*v - 19 = -v, 3*v = 5*b + 29 for b.
-4
Let g(v) be the first derivative of v**2/2 - 2*v - 1. Suppose -2 - 1 = 3*w, 0 = x + 5*w. Let y be g(x). Solve -27 + y = -4*t - 4*h, -2*h = -10 for t.
1
Let p = 97 - 93. Solve 4*s - 2 = -g - 3, -p*s = -g - 1 for g.
-1
Let u(l) = l**2 + 4*l + 1. Let p be u(-3). Let m be 1 + -2 - 4/p. Solve -j = -m, 3 = -v + 3*j + 1 for v.
1
Let o = -23 - -40. Let u = 6 + -11. Let f = o + u. Solve -h + 6*h = -p + f, p - 4*h = -6 for p.
2
Let i = 13 - 10. Suppose 5*h = -0*u - 5*u - 5, 6 = 4*h - u. Suppose b = -h + i. Solve -c - 2*s - 7 = -0*s, 5*s - 5 = b*c for c.
-5
Let y = -23 - -27. Solve -4*j + 5*h = -10, -y*j - j + 33 = 4*h for j.
5
Let a(o) = -o - 6. Let c be a(-9). Let t be c/(-2) - (-40)/(-16). Let j = -2 - t. Solve -2*s - 1 = -n + 11, -2*s = 4*n + j for n.
2
Let n = 3 + 2. Suppose n*x - 3*r - 2*r - 40 = 0, 0 = 5*r + 20. Solve 0 = -q + 3*q - x, -3*y + 3*q = 9 for y.
-1
Let l = 2 - 2. Solve -4*w - 5*z + 4 = -z, 2*w - 5*z - 30 = l for w.
5
Let n(x) = x**3 + 5*x**2 + 2*x - 6. Let k be n(-5). Let r be -1*2 - k/8. Solve r = 2*i - 2*h - 14, h + 30 = 5*i - 3*h for i.
2
Let b = 31 + -16. Let t be b/(-6)*1*-2. Solve -3*n + 35 = n + 3*k, 4*k = 5*n - t for n.
5
Suppose -1 + 11 = 4*o - 2*m, 4*o - 4 = 4*m. Solve -o*u - 5*c = 13, -2*c + 1 = -u - c for u.
-2
Let r be (-56)/(-12) - (-1)/3. Suppose 4*f - 4 + 17 = r*v, 6 = 3*v - 3*f. Solve -v*l - 4*u = -4 + 15, 5*l + 14 = -u for l.
-3
Let u(p) = p + 6. Let k be u(-3). Let a be k/(-9) - 20/(-6). Let y be (3/a - -10) + -2. Solve 0 = 2*c + 3*h - y, 4*c - h = -2*h + 13 for c.
3
Suppose 2*z - 24 = -5*q, -4*q + 12 + 8 = 2*z. Solve 12 = z*x + 4*y - 16, 0 = -3*x - 5*y + 37 for x.
4
Suppose -4*b = 8, 4*x + 5*b - 5 = 3*x. Solve -3*f - f + 2*l = 18, -3*f = -3*l + x for f.
-4
Suppose 4*b + 5*j - 2 = -4, 3*b + 4 = -5*j. Suppose -4*a - 21 = -3*z, -4*a + 1 = 5*z - b. Solve 0 = -z*f - 3, -3*p - 6 = -2*f - f for p.
-3
Let h(d) = -d + 3. Let f be h(2). Solve -i + f = 2*b, 0*i - i = -5*b - 1 for i.
1
Let l be ((-2 + 2)/(-3 - -2))/4. Solve 0 = 5*c + 5*v - 20, 2*v - 4*v + 4 = l for c.
2
Suppose -3*h + 1 = 4, -4*h + 23 = g. Suppose -4*v = -2*y - 4, y + 2*y + 5*v = g. Solve q - 3*c + 9 = 0, -y*c - 3 = -3*q - 15 for q.
0
Suppose -8*m + 39 = -5*m. Solve 0 = -5*t - 2*g + 4*g - m, 2*t + 10 = 2*g for t.
-1
Suppose 5*i - 3*o = 136, 0*i = i - 2*o - 23. Suppose 5*s - i = 36. Solve 0*c - 4*z = c - s, 4*z - 28 = 4*c for c.
-3
Suppose 0*v + 2 = 4*v + 5*k, 2*v + 5*k = -4. Solve -r - 5*h + 45 = v*r, -4*h + 5 = -3*r for r.
5
Let i = -28 - -30. Solve -3*r - 13 = -5*n + 5, 0 = i*n + 4*r - 2 for n.
3
Let d be ((-15)/48*-4)/(1/4). Solve 0*k - 4*s + 5 = -5*k, d = -2*k + s for k.
-5
Let i be 3 + 16/4 + -1. Solve 0 = -4*l - 2*x - 3*x + 8, 3*l - i = 4*x for l.
2
Let g(h) = h + 3. Let w be g(-3). Let f(j) be the second derivative of j**3/6 - 3*j. Let l be f(w). Solve 0 = 2*v - l*v - 4*p - 4, 0 = 5*p + 5 for v.
0
Suppose -67 + 17 = -2*m. Suppose -12 = -s + 2*w, -5*s - w + 4*w + m = 0. Solve s*l + 2 = -4*n, 5*n - n = -3*l - 7 for l.
-5
Suppose 0 = i - 5*i - 4*x + 40, 2*i - x - 5 = 0. Solve 5 = -i*u, 4*t + 13 = -9*u + 4*u for t.
-2
Let o be (0 + -1)*(2 - 14). Let q(b) = 3*b**2. Let a be q(2). Let h be (4 - 2)*18/a. Solve 3*c + 0*v = h*v - o, -8 = -4*c - 4*v for c.
-1
Let q be 6/4 + 276/(-24). Let h = -6 - q. Solve -4*c + 4*w - 6 = c, -4*c - h*w = 12 for c.
-2
Let k be (-8)/10 - (-48)/10. Solve k*c = -16, 0*t + c - 1 = -t for t.
5
Let z = -104 + 173. Let a = z + -45. Solve -4*m - a = 2*b, -6*b - 4*m = -3*b + 26 for b.
-2
Let w be (0 + -2)*(-6)/4. Suppose 22*h - 19*h - 15 = 0. Solve 0 = -3*r + w, h*n - 4*r = 1 for n.
1
Suppose 0 = -21*s + 14*s + 21. Solve 4*z + 0*f - 12 = 4*f, s = z - 4*f for z.
3
Let a = 0 + 0. Solve 2*k + 2*h - 14 = a, h = 2*k + 4*h - 19 for k.
2
Suppose -3*l + 16 = 2*x + l, -1 = -x + 5*l. Let s = x + -6. Solve s = -4*h + 8, -3*h + 2*h + 6 = -2*k for k.
-2
Let u be 4 + 1 - (2 - 2). Suppose -u*g + 15 - 5 = 0. Solve 4*r - 4*o - o = 17, 4 = 3*r - g*o for r.
-2
Let l = 10 + -8. Suppose 0 = 4*h - 8, 4*k = -2*h - l*h + 8. Suppose k = 2*i - 3*o - 9 - 5, 0 = 4*i + 2*o - 12. Solve -x + 1 = -2*a, i*x - 2 - 2 = -3*a for x.
1
Suppose -u - 38 = -a, -u + 3*u = 5*a - 193. Let s = 59 - a. Solve -s = h + 4*w, -7 = 4*h + 2*w + 3 for h.
0
Let d be ((-2)/6)/((-2)/72). Solve 0 = -4*n, 8*z = 4*z + 5*n - d for z.
-3
Let p(d) = -d**3 + 7*d**2 + 8*d + 3. Let t be 1 - 1 - 1*8. Let s = 0 - t. Let v be p(s). Solve 2*r + v*r + 30 = 5*h, -5*r - 15 = 0 for h.
3
Let w be 3/9 - (-5)/3. Let p(f) be the second derivative of -2*f**3/3 - f**2 + 3*f. Let t be p(-1). Solve 0 = 4*k - v - w*v - 9, -4*k + 14 = t*v for k.
3
Let x = 46 - 28. Let n be 10/4 - (-1)/(-2). Let z be (-108)/(-20) + n/(-5). Solve 0 = f - 5*p + x, -3*f + 3 = f + z*p for f.
-3
Let b = 13 + -11. Let p be (4/(-5))/((-4)/(-50)). Let g be (-2)/(2 + p/4). Solve -2*n = b*u, 9*n = -3*u + g*n + 10 for u.
-5
Let n be (-2)/(-3) + (-40)/(-12). Suppose -n*o - 17 = -65. Solve 2*l - o = 4*r, -2*l = -3 - 5 for r.
-1
Let v be ((-35)/(-7))/(2/(-4)*-2). Solve -v*z + 0*z = -2*g - 15, 5*g + 20 = -5*z for g.
-5
Suppose 16*i = 13*i + 15. Solve 0*o - i*p + 7 = -o, 2*p - 10 = 4*o for o.
-2
Let c(w) = -17*w + 3. Let a(p) = 50*p - 8. Let x(l) = 4*a(l) + 11*c(l). Let n be x(1). Let o = -10 + n. Solve o = -2*y, y = 4*d + 3*y + 12 for d.
-2
Suppose 3*f = 5*k + 33, -k = -4*f + k + 30. Let j(u) = u**2 + 4*u - 2. Let t be j(-5). Let q be t/f + (-1)/2. Solve -4 = 2*g + 2*d, 2*g + 3*d + 1 + 2 = q for g.
-3
Suppose 9*o - 10 = 7*o. Suppose -2*i - 1 = -o. Solve -5*g - i*n = 2*n - 5, -2*g + 25 = -3*n for g.
5
Suppose 0 = -6*w - 3*w + 27. Solve -3*r + 2*k + 2 = -6*r, -3*r = -3*k - w for r.
0
Let l = -14 - -16. Solve 5*a = 3*a + 5*o + 1, -l*o + 2 = -2*a for a.
-2
Let j be -1 + 2*(-15)/6. Let x be j/12 - 1/(-2). Solve 2 = -4*d - h + 10, x = 4*d - 2*h - 8 for d.
2
Let j be (-6)/(-2) - (-2)/6*-3. Solve -b - j*b - g + 8 = 0, b = -g for b.
4
Let j be 230/15 + 2*3/(-18). Suppose -5*m = x + 13, 0 = 3*x - 0*m + 5*m + 9. Solve w + j = 6*w - z, -x*w = -5*z + 17 for w.
4
Let u be (2 - 4)*(0 - 1). Solve 2*a = 7*a - 2*w + 10, 4*a + 6 = u*w for a.
-4
Let b be (1/(-2))/((-2)/(-16)). Let n = b + 2. Let s = n - -6. Solve -s*w + 5*t + 11 = 0, 4*t + 10 = -4*w + 2*t for w.
-1
Suppose -5*j + 26 + 4 = 0. Suppose -3*m + 33 = -j. Solve 5*p + 3*w = -19, 0 = -3*p - 4*w - m - 5 for p.
-2
Let p = -1 + 2. Let z(n) = 0 - 5*n**2 + 4*n**2 + p. Let v be z(1). Solve j + 3*c - c - 2 = 0, v = j + 4*c - 8 for j.
-4
Let r(w) = 0*w**2 + w**3 - 4*w + 6*w**2 - 3*w. Let d be r(-7). Solve -2*l + l + 2*v + 2 = d, 0 = -2*l - 4*v - 12 for l.
-2
Let v be 8/20 + (-2)/5. Suppose 2*q = -v*q - 10. Let b be q*((-12)/5 + 2). Solve -1 - 7 = 2*d, -2*t + b = -2*d for t.
-3
Let m = 8 + 4. Suppose 0 = -3*i - m, 5*i = -4*z + 4 - 24. Solve z = -3*y - c - 12, 4*c + 3 = 3*c for y.
-3
Let c = -20 - -25. Solve -2*z - 2*z = 5*l - 18, 6 = -2*l + c*z for l.
2
Let l(v) = 11*v**2 - v - 1. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Let n(r) = -856*r - 3972. Give n(-6).
1164
Let h(q) = -q**3 + 10*q**2 + 609*q - 491. Calculate h(29).
1191
Let n(f) = 18*f**2 + 3039*f - 9686. What is n(-172)?
118
Let c(t) = -2434*t + 12501. Determine c(5).
331
Let i(r) = 5*r**2 - 181*r - 116. Give i(14).
-1670
Let l(j) = -j**2 + 1163*j + 18829. What is l(-16)?
-35
Let h(g) = 44*g + 6069. Give h(-140).
-91
Let s(x) = 2*x**2 - 3476*x - 13906. Calculate s(-4).
30
Let y(b) = 53*b**2 + 579*b + 1736. Calculate y(-3).
476
Let x(p) = -148*p**2 - 209*p - 6. Calculate x(3).
-1965
Let u(r) = r**3 - 28*r**2 + 3385*r - 90670. What is u(27)?
-4
Let t(z) = 47*z + 2891. Calculate t(-61).
24
Let b(c) = -13*c - 2192. What is b(-243)?
967
Let d(y) = 684*y - 62359. Determine d(94).
1937
Let v(b) = -3*b**3 + 32*b**2 + 198*b - 808. Give v(14).
4
Let j(m) = 89044*m - 534223. What is j(6)?
41
Let o(b) = -9*b**2 - 140*b - 125. Determine o(-2).
119
Let h(p) = 117*p + 2353. Give h(-26).
-689
Let b(a) = 2*a**2 - 1564*a + 147863. Calculate b(672).
23
Let h(w) = w**3 + 65*w**2 + 231*w - 10091. Determine h(-58).
59
Let d(m) = 31572*m + 978724. What is d(-31)?
-8
Let g(i) = 19*i**3 + 6148*i - 6149. Determine g(1).
18
Let c(p) = -5506*p + 192724. What is c(35)?
14
Let h(p) = 46941*p - 3191998. Determine h(68).
-10
Let x(g) = 65382*g + 784631. Give x(-12).
47
Let h(y) = 3*y**2 + 850*y - 25140. Calculate h(27).
-3
Let g(w) = -150*w**2 - 11693*w + 536. What is g(-78)?
-10
Let t(g) = -107*g**3 + 7*g**2 + 41*g + 38. Calculate t(-2).
840
Let c(s) = -s**2 - 105*s - 2039. Calculate c(-41).
585
Let l(r) = 6*r**3 - 1366*r**2 - 2733*r - 19. Give l(-2).
-65
Let l(b) = -b**2 + 599*b - 22370. What is l(40)?
-10
Let u(h) = 2*h**2 - 79*h - 4049. Calculate u(70).
221
Let v(x) = x**2 + 22272*x + 378297. Determine v(-17).
-38
Let y(o) = -5*o**2 + 1093*o - 7662. Determine y(7).
-256
Let d(v) = -44*v**2 - 5371*v - 398. Calculate d(-122).
-32
Let b(q) = 90624*q + 6071815. Determine b(-67).
7
Let i(z) = -7*z**2 + 105281*z + 105282. Determine i(-1).
-6
Let v(x) = -798*x - 57169. What is v(-71)?
-511
Let k(g) = -g**3 + 148*g**2 + 4024*g - 558594. Calculate k(150).
6
Let t(s) = -30*s**2 - 1556*s + 16724. Give t(-61).
10
Let j(s) = -9*s**2 - 40*s + 1358. Calculate j(10).
58
Let p(i) = 4*i**3 - 65*i**2 + 278*i + 17. Calculate p(9).
170
Let k(o) = o**3 - 135*o**2 + 406*o + 72. What is k(132)?
1392
Let z(u) = 2*u**2 - 221*u + 3709. Give z(16).
685
Let d(p) = p**3 + 9*p**2 - 45*p - 440. What is d(-8)?
-16
Let u(d) = 406*d**2 - 59680*d - 112. Determine u(147).
182
Let g(z) = 5795*z + 40412. Calculate g(-7).
-153
Let m(w) = w**3 + 52*w**2 + 50*w + 10630. Give m(-56).
-4714
Let y(v) = 2170*v - 35384. Give y(15).
-2834
Let g(x) = -1073*x + 5417. Determine g(5).
52
Let t(d) = -d**2 - 526*d + 16389. Give t(29).
294
Let p(s) = 373*s - 22754. Calculate p(61).
-1
Let v(p) = 190*p**3 + 203*p**2 + 191*p + 11. What is v(-1)?
-167
Let j(n) = 84958*n - 169771. Determine j(2).
145
Let b(j) = 33367*j + 6106178. Determine b(-183).
17
Let m(b) = -26*b**3 - 198*b**2 + 336*b - 137. What is m(1)?
-25
Let m(d) = 702*d + 829. Calculate m(-1).
127
Let h(m) = -881*m + 6068. Calculate h(8).
-980
Let w(c) = 15462*c + 247350. Determine w(-16).
-42
Let d(x) = 335*x + 1007. What is d(-4)?
-333
Let q(d) = 81*d + 7139. Calculate q(-90).
-151
Let q(w) = -4*w**3 + 44*w**2 - 71*w + 37. What is q(11)?
-744
Let a(t) = -439*t + 315636. What is a(719)?
-5
Let o(k) = 2*k**3 - 19*k**2 + 11*k - 50. Determine o(4).
-182
Let u(q) = 23990*q + 119931. Give u(-5).
-19
Let s(x) = -8*x - 4073. Calculate s(47).
-4449
Let a(g) = -66*g**3 - 3103*g**2 + 3115*g - 14. What is a(1)?
-68
Let z(w) = w**2 - 19762*w - 316436. What is z(-16)?
12
Let l(d) = -d**3 - 34*d**2 - 79*d + 35. Give l(-3).
-7
Let g(f) = 4*f**3 - 11*f**2 + 225*f + 1940. Determine g(-8).
-2612
Let h(u) = u**3 + 28*u**2 + 48*u + 287. Give h(-13).
2198
Let s(l) = 9019*l - 532125. What is s(59)?
-4
Let f(r) = 3*r**2 - 333*r - 16913. Determine f(-47).
5365
Let m(j) = 2123*j + 10119. Give m(-4).
1627
Let m(r) = 2*r**2 + 41172*r - 576844. Calculate m(14).
-44
Let a(y) = -7*y**2 - 778*y - 21409. Determine a(-61).
2
Let m(z) = z**3 - 83*z**2 + 548*z + 772. Give m(75).
-3128
Let k(p) = -1007*p - 319368. What is k(-317)?
-149
Let b(f) = -4596*f + 28132. Calculate b(6).
556
Let i(o) = -o**3 + 5*o**2 - 290*o - 1148. Give i(-4).
156
Let g(t) = -t**2 - 10228*t + 2931462. Calculate g(279).
9
Let k(w) = -299*w - 10091. Give k(-34).
75
Let w(t) = 3*t**3 - 1129*t**2 - 1846*t - 16599. Give w(378).
33
Let c(x) = -2*x**3 + 152*x**2 - 115*x - 2586. Give c(75).
39
Let t(g) = -5*g**2 - 7668*g - 53618. Determine t(-7).
-187
Let y(q) = -3534*q + 275670. Calculate y(78).
18
Let s(m) = -13*m**2 + 8*m - 3. What is s(1)?
-8
Let t(g) = -21*g**3 - 841*g**2 - 38*g + 776. What is t(-40)?
696
Let o(h) = 2*h**3 - 228*h**2 - 223*h - 838. Calculate o(115).
-33
Let u(o) = -55*o**2 + 6116*o - 1254. What is u(111)?
-33
Let x(k) = k**3 + 4*k**2 - 10*k + 75. Give x(8).
763
Let b(j) = 6794*j + 101894. Give b(-15).
-16
Let l(z) = z**3 - 2*z**2 + 6*z + 53. Determine l(7).
340
Let j(r) = -r**2 - 2444*r - 103240. Determine j(-43).
3
Let t(d) = -119*d**2 - 10832*d - 295. Calculate t(-91).
-22
Let k(o) = -879*o - 7515. What is k(-9)?
396
Let d(c) = c**3 + 35*c**2 - 2524*c + 2508. Give d(-71).
236
Let q(y) = y**3 - 49*y**2 - 101*y + 3. Give q(52).
2863
Let q(g) = 38*g**2 + 1742*g + 1402. What is q(-45)?
-38
Let z(j) = -78*j**2 + 1234*j - 843. Give z(15).
117
Let s(u) = -u**2 + 1680*u - 78331. Give s(48).
5
Let f(j) = 2663*j + 897. Calculate f(-1).
-1766
Let w(a) = 3*a**3 - 18*a**2 + 120*a - 413. Determine w(5).
112
Let h(o) = 9*o**2 - 234*o + 5754. Give h(24).
5322
Let q(m) = 126*m + 16890. What is q(-123)?
1392
Let k(l) = l**3 + 106*l**2 - 562*l - 12526. Determine k(-110).
894
Let h(b) = 3557*b + 24996. Calculate h(-7).
97
Let z(a) = a**3 + 780*a**2 + 112099*a - 595. Give z(-590).
-5
Let l(n) = -30*n**2 + 7377*n - 14638. What is l(2)?
-4
Let h(m) = -5447*m - 24952. Determine h(-4).
-3164
Let l(d) = 75*d**2 + 8*d + 8. Give l(2).
324
Let m(y) = y**2 - 3370*y - 605514. What is m(-171)?
-3
Let z(f) = 385*f**2 + 1124*f - 6. Calculate z(-3).
87
Let w(s) = -627*s + 9923. What is w(16)?
-109
Let x(n) = 5*n**2 + 4697*n + 32629. Determine x(-7).
-5
Let j(a) = -59820*a - 113777636. What is j(-1902)?
4
Let r(w) = w**2 + 1313*w + 122350. Determine r(-1212).
-62
Let y(l) = 761*l + 63248. Calculate y(-83).
85
Let g(c) = -46*c - 3720. Determine g(-85).
190
Let l(i) = 67*i - 18180. Give l(249).
-1497
Let s(a) = 38*a**3 - 4*a**2 - 12*a - 136. Give s(-6).
-8416
Let r(o) = 392990*o - 1178848. Calculate r(3).
122
Let t(i) = -3*i**2 - 2740*i + 533780. Calculate t(165).
5
Let y(r) = -r**3 + 85*r**2 - 30*r + 2570. What is y(85)?
20
Let u(z) = -1512*z + 26297. Give u(17).
593
Let t(l) = 25419*l - 2491064. Determine t(98).
-2
Let k(r) = -3*r**3 + 69*r**2 + 332*r + 196. What is k(27)?
412
Let a(b) = -5*b**2 - 1217*b - 27583. Give a(-218).
103
Let l(a) = -69*a**2 + 1456*a + 28. What is l(22)?
-1336
Let y(h) = 5*h**2 + 1913*h + 5701. What is y(-3)?
7
Let b(d) = -d**3 + 483*d**2 + 4816*d - 679135. What is b(490)?
5
Let h(p) = p**2 + 558*p + 43523. Determine h(-93).
278
Let w(l) = 15*l**2 + 334*l - 65. Give w(-21).
-464
Let c(g) = g**2 + 290*g - 17849. What is c(-342)?
-65
Let i(r) = 175*r + 5333. Determine i(-47).
-2892
Let t(k) = 15*k - 880. Give t(58).
-10
Let s(k) = 34*k**2 + 6082*k - 687. Give s(-179).
29
Let g(y) = -y**3 - 27*y**2 - 175*y + 79. Calculate g(-13).
-12
Let c(t) = -692*t + 3484. What is c(5)?
24
Let t(u) = u**2 - 20*u - 484. What is t(37)?
145
Let u(f) = -3*f**2 - 738*f - 38761. Determine u(-76).
-1
Let c(i) = -1300*i + 156037. Determine c(120).
37
Let o(q) = -5*q**3 + 25*q**2 + 33*q + 40. Determine o(6).
58
Let r(d) = 6*d**3 - 18*d**2 + 16*d - 59. What is r(5)?
321
Let l(g) = 6677*g + 253761. What is l(-38)?
35
Let r(t) = 6*t**2 + 52*t - 69. What is r(-10)?
11
Let d(p) = -29296*p + 28900. Give d(1).
-396
Let u(f) = -2*f**3 - 131*f**2 - 47*f + 812. Calculate u(-65).
-358
Let f(a) = 6*a**2 + 5168*a + 27378. Give f(-856).
-14
Let y(c) = -508*c + 29850. Calculate y(59).
-122
Let y(t) = 3*t**3 + 1757*t**2 - 3790*t + 191698. What is y(-588)?
10
Let g(n) = n**2 + 46*n + 51. Determine g(-64).
1203
Let w
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3123*t**2 + 3218*t**2 + 24*t - 6340*t**2. What is c(j(p))?
625*p**4 + 600*p**2
Let g(h) = -278*h**2. Let u(y) = 2*y - 329151. Calculate u(g(q)).
-556*q**2 - 329151
Let q(b) = 5*b**2. Let n(y) = y**3 + 5*y**2 - 32*y + 31. Let u be n(-9). Let j(w) = 2*w - 7. Let l(i) = 3*i - 11. Let t(m) = u*l(m) + 7*j(m). Determine q(t(x)).
5*x**2 - 60*x + 180
Let l(q) = -q. Let a = -360 - -375. Let t(h) = 2*h + 24 - 39 + a. Determine l(t(z)).
-2*z
Let k(c) = -2*c**2 + 355 - 355. Let q(h) be the second derivative of h**6/180 - h**3/2 - 9*h. Let x(l) be the second derivative of q(l). What is k(x(g))?
-8*g**4
Let o(b) be the second derivative of -5*b**4/3 - 2570*b. Let t(x) = -17*x + 2. Calculate o(t(g)).
-5780*g**2 + 1360*g - 80
Let c(f) = 307*f**2. Let u(s) = -67929*s. What is c(u(h))?
1416605155587*h**2
Let i(h) = 9684*h**2 + 3. Let z(d) = d + 2170. Give z(i(q)).
9684*q**2 + 2173
Let i(m) = 1033*m + 1032*m + 1039*m - 3107*m. Let c(s) = 175*s + 4. What is i(c(z))?
-525*z - 12
Let l(n) = 2*n**2. Let q(t) be the second derivative of 15071*t**3/6 - 176*t + 7. Determine l(q(k)).
454270082*k**2
Suppose -18 = -n - 2*a + 4, 5*n + a - 101 = 0. Let m(s) = -20*s + 41*s - n*s. Let q(k) = 13*k - 1. What is q(m(i))?
13*i - 1
Let j(v) = -v**2 - 18. Let l(g) = 52*g + 268. Calculate l(j(i)).
-52*i**2 - 668
Let y(c) = 4*c**2 + 17. Let v = -35 - -37. Let d(p) = -26*p**v - 22*p**2 + 47*p**2. Determine d(y(u)).
-16*u**4 - 136*u**2 - 289
Let b(s) = -64*s - 84. Let u(f) = -11*f - 15. Let x(c) = 5*b(c) - 28*u(c). Let p(a) be the second derivative of 5*a**4/12 - a. Determine x(p(r)).
-60*r**2
Let a(n) = -517190*n**2. Let y(c) = -189*c**2. What is y(a(s))?
-50554758762900*s**4
Let l(k) be the second derivative of -1189*k**4/12 - 5621*k. Let i(r) = -3*r**2. Give l(i(u)).
-10701*u**4
Let n(v) = 8*v**2. Let f(s) = 5 - 7 - 4 + 15*s + 2*s**2. Let z be f(-8). Let r(x) = -3*x**2 - 6*x**z + 7*x**2. Calculate r(n(p)).
-128*p**4
Let f(t) = -388649*t. Let y(w) = -2*w - 1. Give f(y(d)).
777298*d + 388649
Let y(j) = j**2 + 14. Let a(o) = -o**3 + 28*o**2 - 51*o - 24. Let t be a(26). Let d(u) = -155*u - 5*u**t + 155*u. Give y(d(n)).
25*n**4 + 14
Let n(o) = -4*o**2. Let m(t) = -580*t**2 + 719*t**2 + 1029*t**2. Give n(m(h)).
-5456896*h**4
Let g(o) = -44*o**2. Let y(a) be the first derivative of -a**6/120 - 22*a**3 + 35. Let j(t) be the third derivative of y(t). What is j(g(p))?
-5808*p**4
Let x(f) = 2*f**2 - 9. Let q(c) = 5*c + 3. Let i(a) = 3*a + 4 - 4 + 13 + 19*a. Let r(u) = 6*i(u) - 26*q(u). Determine r(x(s)).
4*s**2 - 18
Let w(x) = -36496*x. Let n(j) = 5427*j. Give n(w(i)).
-198063792*i
Let h(c) = -c. Let n(b) = 509419886*b. Calculate n(h(s)).
-509419886*s
Let g(s) = -8*s. Let i be 3/12 - (-3 + (-237)/12). Suppose 3*z + i = 5*w, 3*z + 0*z = -3*w + 9. Let h(o) = 6*o - 7*o - 4*o + w*o. Give g(h(d)).
8*d
Let z(m) = m**2. Let v(t) = 4192*t**2 + 11004*t - 14672. Let r(j) = -j**2 - 3*j + 4. Let l(i) = -14672*r(i) - 4*v(i). Give l(z(x)).
-2096*x**4
Let b(j) = -j + 1. Let u(z) = -396575*z**2 + 2*z + 6. Calculate b(u(c)).
396575*c**2 - 2*c - 5
Let s(t) = -2*t - 944. Let f(q) = 45093*q. What is s(f(g))?
-90186*g - 944
Let p(y) = -10*y + 77. Let j(o) = -3*o + 22. Let w(t) = -21*j(t) + 6*p(t). Let i(h) = -96*h - 1. What is w(i(f))?
-288*f - 3
Let y(m) = m - 3. Let z be y(3). Let v be (-1 + -1)*(-575)/230. Let i(w) = -2*w - w + z*w + v*w. Let r(a) = -5*a**2 - 2. Calculate r(i(k)).
-20*k**2 - 2
Let f(s) = -s + 30. Let u(c) = -159 + 78 - c**2 + 82. Let g(a) = 7*a**2 - 5. Let m(d) = -2*g(d) - 10*u(d). Calculate m(f(y)).
-4*y**2 + 240*y - 3600
Let x(k) = -2*k**2. Let b(i) be the third derivative of 0*i - 101/60*i**5 + 3*i**2 + 0*i**4 - 1/6*i**3 - 12. What is b(x(a))?
-404*a**4 - 1
Let y(v) = v**2 + 21650*v - 11. Let q(n) = 14*n. Calculate q(y(a)).
14*a**2 + 303100*a - 154
Let i(u) = -4*u. Let z(y) = 65367758*y. Give i(z(r)).
-261471032*r
Let g(b) be the first derivative of -3*b**2 + 4830. Let h(o) = 0*o - o - 13*o. Determine g(h(a)).
84*a
Let f(s) = 2*s**2. Let u(t) = 8*t**2 + t + 444. Let h(i) = -17*i**2 - 2*i - 899. Let j(x) = -6*h(x) - 13*u(x). Determine j(f(r)).
-8*r**4 - 2*r**2 - 378
Let b(x) = -3*x + 0 + 0. Let h(t) = 21*t**2 + 70*t - 14. Let m be h(-5). Let l(n) = m*n - 50*n - 73*n - 54*n. What is b(l(w))?
48*w
Let q(a) = 3690*a + 3658*a + 3673*a - 11067*a. Let k(n) = -n + 7. Let o be k(5). Let x(v) = -7 + 7 + o*v**2. What is q(x(m))?
-92*m**2
Let v(m) = 76*m. Let j(n) be the third derivative of -n**4/12 + 57*n**2 - 53. Give v(j(q)).
-152*q
Let b(t) = -105*t**2. Let r(o) = -14*o - 7. Let a(k) = -12*k - 8. Let y(w) = -6*a(w) + 7*r(w). What is b(y(d))?
-70980*d**2 - 5460*d - 105
Let o(j) = 70*j + 72*j + 66*j + 61*j - 252*j. Let c(h) be the first derivative of 2*h**2 + 1. What is o(c(g))?
68*g
Let b(l) be the third derivative of -23*l**5/120 - 71*l**3/3 + 138*l**2. Let i(t) be the first derivative of b(t). Let z(p) = -7*p. What is i(z(w))?
161*w
Let x(q) = 6149091*q. Let k(g) = g**2. What is x(k(p))?
6149091*p**2
Let z(k) = 7*k**2 + 672*k - 18*k**2 - 672*k + 12*k**2. Let b(f) = -159*f. What is b(z(d))?
-159*d**2
Suppose -38 = -10*i - 9*i. Let r(v) = -97*v**i - 104*v**2 + 193*v**2. Let w(n) = -13*n**2. What is r(w(x))?
-1352*x**4
Let c(v) be the first derivative of -v**2 + 187. Let o(w) = w**2 + 2*w - 22. Let j be o(-6). Let k(u) = j - u + 4 - 4 - 42*u. Calculate k(c(f)).
86*f + 2
Let q(m) = -3*m**2 - 1747371*m + 6. Let d(n) = -2*n. Give d(q(v)).
6*v**2 + 3494742*v - 12
Let w(j) be the third derivative of 41*j**4/8 - j**2. Let a(h) be the second derivative of -h**4/6 + 176804*h. Calculate w(a(y)).
-246*y**2
Let b(t) = 3. Let h(i) = 214*i + 23. Let k(y) = -4*b(y) + h(y). Let c(a) = -2*a**2. Determine c(k(f)).
-91592*f**2 - 9416*f - 242
Let m(i) = -110*i**2. Let x(d) = -10*d**2. Let f(l) = m(l) - 60*x(l). Let s(h) = 6*h**2. Determine f(s(n)).
17640*n**4
Let f = 38763 + -24539. Let b(a) = 8 - f*a + 14224*a - 2*a**2. Let l(p) = -2*p**2. What is l(b(w))?
-8*w**4 + 64*w**2 - 128
Let a(f) = -2*f**2 - 542*f + 4. Let n(z) = 2*z - 2*z + 3*z - z - 3*z. Determine n(a(m)).
2*m**2 + 542*m - 4
Let n(v) = 2*v**2. Let i be ((-580)/30)/((-1)/(-24)*-2). Let m(u) = 233*u**2 + i*u**2 - 470*u**2. What is m(n(d))?
-20*d**4
Let d(f) = -f. Let z = 16 - -7. Let j = -101 - -406. Let s(c) = j - 305 + z*c. What is d(s(h))?
-23*h
Let j(p) be the second derivative of p**5/60 + p**3/6 - 3*p. Let y(a) be the second derivative of j(a). Let l(z) = -10 - 28 + 29*z + 38. Determine y(l(t)).
58*t
Let j(d) = -7232881*d**2. Let u(x) = -3*x. What is j(u(f))?
-65095929*f**2
Let v(n) = -1878*n**2 + 8. Let s(y) = -72615*y**2 + 309. Let o(m) = 8*s(m) - 309*v(m). Let i(g) = 4*g. Give i(o(r)).
-2472*r**2
Let g(r) = 18*r**2 - 19*r**2 - 75*r**2 - 120*r**2 + 15*r**2. Let u(v) = 5*v**2. Calculate u(g(x)).
163805*x**4
Let m(j) = -2*j**2. Let d(c) be the third derivative of -3905*c**4/12 + 4043*c**2. What is m(d(u))?
-121992200*u**2
Let i(y) be the third derivative of 7*y**2 + 0*y**3 - 1 + 0*y**4 + 0*y - 4/15*y**5. Let h(c) = c. What is h(i(w))?
-16*w**2
Let a(m) be the first derivative of -2*m**3/3 + 2*m**2 + 15*m + 46. Let c(z) be the first derivative of a(z). Let w(s) = -3*s**2. What is c(w(v))?
12*v**2 + 4
Let m(j) be the first derivative of -27*j**2/2 - 12*j - 10731. Let u(n) = -11*n**2. Calculate u(m(g)).
-8019*g**2 - 7128*g - 1584
Let i(r) be the second derivative of 161*r**4/2 + r**3/6 + r**2/2 + 2955*r. Let n(k) = k. Give i(n(l)).
966*l**2 + l + 1
Let l(d) = 2*d**2. Let y(c) = 19674771*c**2. Calculate l(y(j)).
774193227804882*j**4
Let n(m) = -m**2. Let z(o) = 45*o**2 - 14*o + 84. Let l(r) = -71*r**2 + 23*r - 125. Let h(v) = 5*l(v) + 8*z(v). What is h(n(k))?
5*k**4 - 3*k**2 + 47
Let c(i) = 6*i**2 - 7*i. Let j(n) = 77 + n**2 - 180 + 103. Determine c(j(s)).
6*s**4 - 7*s**2
Let f(k) = 9*k**2. Let q(o) = -3*o + 261. Let n(c) = c - 14. Let a(j) = 5*n(j) + q(j). Determine f(a(h)).
36*h**2 + 6876*h + 328329
Let g(b) = -b**2 + 104*b. Let i(a) = 3*a - 1000 + 520 + 480. Give g(i(s)).
-9*s**2 + 312*s
Let a(d) = -2*d. Let b(v) = v**3 + v + 2. Let l be b(0). Let c(s) = -16*s**l - 4 + 4. What is a(c(x))?
32*x**2
Let s(j) = 6*j**2 - 18*j - 5. Let n(i) = -7*i**2 + 15*i + 4. Let m(f) = -5*n(f) - 4*s(f). Let h(z) = -95*z. What is h(m(g))?
-1045*g**2 + 285*g
Let x(w) =
|
{
"pile_set_name": "DM Mathematics"
}
|
2*j - x, -5*j = -8*s + 5*s + 190. List the prime factors of s.
5, 13
Let a = 36 + -18. Suppose -2*q + 3*t = -39, 4*q - t - 64 + 11 = 0. What are the prime factors of (a/q)/(2/12)?
3
Suppose 4*j - w = w - 2, 0 = -j + 2*w - 8. Suppose 2 = -z + j*z. Suppose 0 = -z*n + 28 - 6. What are the prime factors of n?
11
Let n(u) = 3*u - 6. Let i be n(3). Let c(k) = -2*k - 3*k**2 + 4*k**2 + 3*k**2. What are the prime factors of c(i)?
2, 3, 5
Let m be ((-3234)/(-56))/((-3)/(-8)). Suppose -3*w - 133 + m = 0. What are the prime factors of w?
7
Suppose -z - 8*h = -4*h - 402, 20 = 5*h. What are the prime factors of z?
2, 193
Let g(s) = 3*s**2. Let m be g(-1). Suppose -2*b + 161 = v, -3*v - 165 = m*b - 5*b. What are the prime factors of b?
3
Let x = -2552 + 3588. List the prime factors of x.
2, 7, 37
Suppose -85 - 7 = -w. Let n = w + -15. What are the prime factors of n?
7, 11
Let x = 30 + -25. Suppose n + x*b - 57 = 0, -4*n + b + 142 + 86 = 0. What are the prime factors of n?
3, 19
Let q(d) = 1 - d**3 + 13*d - 9 + 4*d**2 - 8. List the prime factors of q(5).
2, 3
Let k(n) = 3 - 5 - 15 + 2*n. What are the prime factors of k(11)?
5
Suppose -7*c = -16336 + 2987. What are the prime factors of c?
1907
Suppose r - 5*j = 8, -3*r + j + 10 = -0*j. Suppose r*l = 205 - 1. What are the prime factors of l?
2, 17
Let r be (-20)/15*(-9)/6. Let d(i) = -5*i**2 - 38*i + 4*i**r + 0*i**2 + 52*i - 7. List the prime factors of d(9).
2, 19
Let t(g) = -g - 3. Let q(h) = -h**3 + 13*h**2 + 14*h - 4. Let s be q(14). Let u be t(s). What are the prime factors of -2 + 3 - (u + -16)?
2
Let l(z) = z**3 + 12*z**2 + 10*z - 7. Let g be l(-11). Let j(a) = 18*a + 6. List the prime factors of j(g).
2, 3, 13
Suppose 10 = m + m. Suppose -m*b + 26 = -4*o, -3*b = -0*b + 5*o - 23. What are the prime factors of b?
2, 3
Suppose 0 = 13*h - 6*h - 12418. List the prime factors of h.
2, 887
Suppose -20 = -2*w - 2*w - 2*b, -5*w = -4*b + 1. Suppose w*a - 570 = -0*a. List the prime factors of a.
2, 5, 19
Let o = 78 - -7. Suppose -x = -3*z + 49, -3*z = 2*z - 5*x - o. List the prime factors of z + -10 + -1 + 0.
5
Let p = 63 + -54. List the prime factors of -62*(1 - p/6).
31
Suppose 2085 = -36*i + 41*i. List the prime factors of i.
3, 139
Let y(n) = -60 + n + 0*n + 56. Let b be y(6). Suppose 3*c = -3*t + 228, 5*c + b*t - 370 = 7*t. List the prime factors of c.
3, 5
What are the prime factors of 46/(-253) + (-10045)/(-11)?
11, 83
Let c = 0 - -10. Suppose -2*g - 3*a = -93, c = 3*g - 3*a - 137. Suppose -129 = -3*t - g. What are the prime factors of t?
3
Let l = -276 + 150. Let o = -6 - l. What are the prime factors of o?
2, 3, 5
Let t = -322 - -527. Suppose -541 = -4*c - t. What are the prime factors of c?
2, 3, 7
Let u(g) be the second derivative of 0*g**4 + 0 - 1/6*g**3 + 1/2*g**2 + 3/2*g**5 + 3*g. List the prime factors of u(1).
2, 3, 5
What are the prime factors of 4 - (-6 + 308)*-1?
2, 3, 17
Let q = -37 - -475. List the prime factors of q.
2, 3, 73
Let r(o) = o**3 + 25*o**2 - 26*o - 153. List the prime factors of r(-21).
3, 719
Let x(h) be the second derivative of -1/6*h**3 + 9/2*h**2 + 0 - 11*h. List the prime factors of x(0).
3
Let h = 55 - 40. List the prime factors of ((-234)/h)/((-6)/40).
2, 13
Suppose 8*l - 2*l = -42. Let f(z) = -5*z - 13. List the prime factors of f(l).
2, 11
Suppose -2*p + p = 19. Let g be (-3)/(-12) - p/4. Suppose 0*w = 3*w - 2*t - 69, 0 = -3*w + g*t + 78. List the prime factors of w.
3, 7
List the prime factors of 1/1*124/(-62) - -242.
2, 3, 5
Suppose 25*a + 2820 = 4*i + 30*a, 2*i - 1410 = -a. What are the prime factors of i?
3, 5, 47
Let a(s) = -2*s**3 - 21*s**2 + 11*s + 14. Let m be a(-11). Suppose 0 = 18*j - m*j - 68. List the prime factors of j.
17
Let o(q) = -q**3 - 4*q**2 + 3. Let f be o(-4). Suppose a - f*w - 27 = 0, -2*w - 128 = -3*a - a. What are the prime factors of a?
3, 11
Let w(y) = y**2. Let q(n) = -2*n**2 + 27. Let f(x) = -q(x) + 5*w(x). List the prime factors of f(5).
2, 37
What are the prime factors of (306/(-10))/((-45)/150)?
2, 3, 17
Let r = 300 - -452. What are the prime factors of r?
2, 47
Suppose 13*m - m - 660 = 0. List the prime factors of m.
5, 11
Let g(v) = -3 + v**2 + v**3 + 6*v**2 - 3*v**2 - v + 5. What are the prime factors of g(-3)?
2, 7
Let j(o) = o**2 - 17*o - 3. What are the prime factors of j(21)?
3
Let z be (-6)/(-9) - (-102)/(-18). List the prime factors of (-1)/5*z - -102.
103
Suppose 2 = 4*v + 2*r, 3*v - r = r - 2. Let w(l) = -l**3. Let m be w(v). Let b(x) = -x**3 - 2*x**2 + x + 12. What are the prime factors of b(m)?
2, 3
Let a = 38 - 33. Suppose -a*x - 167 = -852. What are the prime factors of x?
137
Suppose 292 = 4*l - 4*y, 3*l + 3*y - 278 = -53. Let b = -38 + l. What are the prime factors of b?
2, 3
Suppose 5*y - 56 + 211 = 0. Let g = y + 58. What are the prime factors of g?
3
Suppose 35 + 0 = 5*o. Suppose 0 = -3*j + z + o, -3*j + 0*j - 1 = -5*z. Suppose 0*v - 30 = -j*v. List the prime factors of v.
2, 5
Let s = -487 + 779. What are the prime factors of s?
2, 73
Suppose -j = -5*j + 16. Suppose -2*x - j*s = -0*x + 4, -6 = 3*s. Suppose 0*p + 145 = 5*k - 4*p, -145 = -5*k + x*p. What are the prime factors of k?
29
Let y be (5/2)/((-6)/(-288)). Suppose -5*a = 5*l - 0*a - y, 0 = 3*l + 2*a - 76. Suppose -6*w + l = -8. What are the prime factors of w?
2, 3
List the prime factors of (272/20)/(896/(-150) + 6).
2, 3, 5, 17
Let i = -2 + 0. Let f = i + 7. Suppose -4*w = -2*n + 14 - 2, f*n = 5*w + 55. List the prime factors of n.
2
Let x be (-6 - -12 - 6) + 1*12. Suppose -224 = -2*i + 5*a, -2 + x = -5*a. What are the prime factors of i?
107
Let a(j) = j**2 - 7*j - 2. Let f(u) = -u**2 - 15*u + 13. Let c be f(-15). What are the prime factors of a(c)?
2, 19
Suppose d - 2*s = 0, 0*s = -d - 4*s + 18. Let j(p) = 28*p - 38. List the prime factors of j(d).
2, 5, 13
Suppose 34*p - 35*p = 7. Let v(f) = -2*f**3 - 10*f**2 + 5*f + 4. List the prime factors of v(p).
3, 5, 11
Suppose -2*i - 3*p + p + 1120 = 0, -5*p - 584 = -i. What are the prime factors of i?
2, 3, 47
Let x = -4 + 8. Let i(y) = -y**3 + 7*y + 3 + x*y**3 + y**3 - 9*y**2 - 5*y**3. What are the prime factors of i(-10)?
3, 11
Suppose 4*s + 2*n - 6 = 0, -8 = -8*s + 3*s - 3*n. Suppose 0 = 2*b + s - 5. Suppose 7*z = b*z + 330. What are the prime factors of z?
2, 3, 11
Let t = -13 - -7. Let k(b) = b**2 + 13*b + 11. Let v be k(t). Let r = -20 - v. List the prime factors of r.
11
Let q = 1415 - 951. Suppose 5*k - q - 36 = 0. Suppose 0 = -4*b + k. What are the prime factors of b?
5
Let r = 4818 + -2648. What are the prime factors of r?
2, 5, 7, 31
What are the prime factors of (-54)/10 - -5 - 7911/(-15)?
17, 31
Let q(g) = g**2 - 4*g - 14. Let z be q(6). Let j be (-3)/2 + (-1)/2. List the prime factors of j/((-4)/z) - -6.
5
Suppose -4*n = 4 + 72. Let l(z) = 2*z**2 + 7*z + 5. Let b be l(3). Let x = b + n. List the prime factors of x.
5
Suppose 3*u = -2*b + 240, 3*b + 6*u - u - 361 = 0. List the prime factors of b.
3, 13
Suppose 105 = -8*k + 3*k. Let p be (-6)/2*560/k. Let t = -51 + p. List the prime factors of t.
29
Let w(q) = q**3 - 7*q**2 + 41*q - 285. List the prime factors of w(15).
2, 3, 5, 71
Let x be 120/36*126/5. Let c be -30*(x/(-8))/(-7). Let q = -18 - c. What are the prime factors of q?
3
Let l(f) = 732*f - 257. What are the prime factors of l(5)?
41, 83
Suppose 48822 = 16*k + 7126. List the prime factors of k.
2, 1303
Let b(o) = 17*o**3 - o**2 + o - 1. Let d = 29 - 34. Let z = 6 + d. List the prime factors of b(z).
2
Suppose -3*x + a = 2, 6*a - a = 5*x - 10. Let q(l) = 6*l**2 + 2*l + 2. What are the prime factors of q(x)?
2, 11
Let o(f) = 3*f - 7. Suppose 5*d - 9 - 11 = 0. Let m be o(d). Suppose -8 = -w + 4*n + 39, -226 = -3*w - m*n. List the prime factors of w.
67
Suppose 7 - 2 = -a. Let x(w) = -3*w**2 - 4*w - 11. Let m(s) = -2*s**2 - 4*s - 11. Let q(b) = 5*m(b) - 4*x(b). List the prime factors of q(a).
59
Let s(x) = -x**3 - 3*x**2 - 2*x. Let p be s(-2). List the prime factors of 1*(-1 - p)*-56.
2, 7
Let s(m) = 455*m + 58. What are the prime factors of s(3)?
1423
Let v = 25 - 29. Let s(u) = 2*u**2 + 4*u - 7. List the prime factors of s(v).
3
Suppose 19 - 7 = -2*m. Let j(a) = 2*a + 7*a**2 + a**3 + 2 + 3*a - a. What are the prime factors of j(m)?
2, 7
Let f = -1196 - -1480. List the prime factors of f.
2,
|
{
"pile_set_name": "DM Mathematics"
}
|
.
b**(73/6)
Simplify (x**(-1)*x*x*((x/x**4)/x)/x)/(x**(-3/13)*x/(x**17*x)) assuming x is positive.
x**(172/13)
Simplify (s*s/((s**(-2)/s)/s))**31*(s/s**(8/3))**(1/8) assuming s is positive.
s**(4459/24)
Simplify ((a**(-3))**(-8)/((a**(3/7)/a)/a**(1/6)))**40 assuming a is positive.
a**(20780/21)
Simplify (i**(-13))**(2/7)*i**18/((i*i/((i**(-25)/i)/i)*i*i)/i) assuming i is positive.
i**(-110/7)
Simplify (y/(y/(y*y**(-2))*y))/y**(-2/3)*(y**(-2/25))**11 assuming y is positive.
y**(-166/75)
Simplify ((f/f**(2/11))/f)**(2/59)/(f*f*(f**4/f)/f*(f**(2/19)/f)/f) assuming f is positive.
f**(-26036/12331)
Simplify (v**(9/2))**(-27)/((v/(v**(-12/5)*v*v))/(v*v**20)) assuming v is positive.
v**(-1019/10)
Simplify ((b**(3/5)*b**(-2))/((b/b**(-2/13)*b)/(b/(b*b*b**(-1/5)))))**(1/2) assuming b is positive.
b**(-283/130)
Simplify (((p/(p/(p*(p/(p/((p*p/p**0*p*p)/p)))/p*p)))**(-42))**(-41))**(-18) assuming p is positive.
p**(-123984)
Simplify (x/x**(-5/4)*x/(x*(x**9/x)/x))/((x*x/x**(10/3))/(x*x/x**(-14)*x)) assuming x is positive.
x**(163/12)
Simplify (s**(-2))**(-9/8)*((s**26/s)/s)/s**(-26) assuming s is positive.
s**(209/4)
Simplify ((w*w**5*w)/w*w**(1/33)*w)/(w/(w/w**(-4))*w*w)**43 assuming w is positive.
w**(3070/33)
Simplify a**(-2/73)*a**7*(a*a/(a*a**(-7/8)*a)*a*a)/a*a**(16/9) assuming a is positive.
a**(55847/5256)
Simplify z**(-2/11)/(z/z**(-4))*z*z**7*z**(-4) assuming z is positive.
z**(-13/11)
Simplify c**(-14/3)/(c*c**(-27)*c)*c/(c/(c*c/c**(2/17)))*c/(c/(c/((c/(((c/(c**13*c))/c)/c))/c))*c) assuming c is positive.
c**(368/51)
Simplify (m*m**(-28))/(m*m**25)*(m*m**12)**(-33) assuming m is positive.
m**(-482)
Simplify (b**(-7/3)*b**(-3/2)*b**(-3)*b*b**7/b*b)**(-12) assuming b is positive.
b**(-14)
Simplify ((q/(q**(-5/8)/q))/q**(-24))/(q**(-3/19))**(-8) assuming q is positive.
q**(3855/152)
Simplify (f**(-2/71)/f)/(f*f/((f/(f/f**(-1/9)))/f)*f)*f**(-19)*f/(f**(-18)*f) assuming f is positive.
f**(-3923/639)
Simplify a**12/((a*a*a/a**(2/13))/a)*(a/(a*a**(-3/4)))/a**(-5/8) assuming a is positive.
a**(1199/104)
Simplify (k/(k/(k*k**(1/4))))**(7/6)/(k**1/(((k*k*k*k*(k*(k**(6/13)*k)/k)/k*k)/k)/k)) assuming k is positive.
k**(1223/312)
Simplify ((x/(x**(-1)*x)*x)/((x*(x/x**(2/17))/x*x)/x)*(x**3)**(-1/2))**40 assuming x is positive.
x**(-260/17)
Simplify (p/(p*p*p*p/(p/p**(-4)))*((p/(p/p**5)*p)/p*p)/p*p*p)/(p**(11/5)*p/(p/((p*p**(-1/13)/p)/p))) assuming p is positive.
p**(512/65)
Simplify (g**(-2/17))**(-3/14)/(g**(-22)/(g/(g/((g**14/g)/g))*g*g)) assuming g is positive.
g**(4287/119)
Simplify (m**(-5))**(-1/4)*(m*m**(-3/25))/((m**(-6/11)/m)/m) assuming m is positive.
m**(5143/1100)
Simplify (f**2)**(-39)*(f*f**1*f)**(-7) assuming f is positive.
f**(-99)
Simplify (g/g**(1/24)*g**(-8)/g*g*g)**(-9/7) assuming g is positive.
g**(435/56)
Simplify ((((w*w**(-5))/w)/(w/((w**(-2/3)*w*w)/w)))**(-41))**29 assuming w is positive.
w**(20213/3)
Simplify ((r**(-15)/r)/r*r/r**(-2))/((r/((r*r**12*r)/r))/(r**(-3/2)/r)) assuming r is positive.
r**(-9/2)
Simplify (((y*y**1)/y)**(-1/16))**(-31) assuming y is positive.
y**(31/16)
Simplify (u**13/u)/(u**(-18)*u)*(u**(-2/35))**22 assuming u is positive.
u**(971/35)
Simplify ((g/(g**(-32)*g))/(g/(g/((g/(g*(g/g**(-4/7))/g))/g))))**(-1/2) assuming g is positive.
g**(-235/14)
Simplify (((h**(-2/19))**(-35))**(6/19))**(-5) assuming h is positive.
h**(-2100/361)
Simplify (j**(-36)/j**(-1))/(j**0)**(-2) assuming j is positive.
j**(-35)
Simplify (g*(g/(g/(g/(g/(g*g/g**(-23)))))*g)/g)/g**(-1/8)*g**(-3/8)*g**(-1/44)*g assuming g is positive.
g**(294/11)
Simplify (v**12*v/((v**(-4)/v*v)/v))/(v/((v*v**(3/2)*v)/v)*v**2) assuming v is positive.
v**(35/2)
Simplify ((k**2/k)/(k**(2/9)*k*k)*(k*k/(k*(k*k*k**(-2/5)*k*k)/k*k)*k*k)**(-3/41))**(2/29) assuming k is positive.
k**(-4348/53505)
Simplify ((w/(w/(w*w/((w*(w*w**(3/7))/w*w)/w)*w)))/w)**12*w**(-2/11)/w*((w*w*w/(w/(w*w*w*w**5)))/w)/w assuming w is positive.
w**(1053/77)
Simplify (g**(-13)/(g/g**10))/(g**2)**(-39) assuming g is positive.
g**74
Simplify (b**(-9)/b)**(11/3)/(((b*b**(-14))/b)/b*(b/(b*b*b**5/b))/b) assuming b is positive.
b**(-47/3)
Simplify (u**(-29))**(-1/9)*(u/(u/u**(-2/87)))/u**(-8/7) assuming u is positive.
u**(7933/1827)
Simplify ((d/(d*d**8)*d)/((d/(d/((d*d**(8/3)*d*d*d)/d)))/d*d))/(d**(-3/8)*d**(4/13)) assuming d is positive.
d**(-3931/312)
Simplify (u*u**(1/11)*u/(((u/(u/((u/u**(-2/7))/u)))/u)/u))/(u**(2/3))**(-20) assuming u is positive.
u**(3959/231)
Simplify ((c**7*(c*c/(c/(c/(c/(c/c**5)))*c))/c)/((c*c**(-2/13)*c)/(c**(4/9)/c)))**(-1/21) assuming c is positive.
c**(47/2457)
Simplify z**(4/3)*z*z*z*(z*z**(-16))/z*z**(-12)*z**(6/11) assuming z is positive.
z**(-763/33)
Simplify (((u/u**(-23)*u)/u)/(u**(3/2)*u))/(((u/u**(-13))/u)/(u*u**(-1/34))) assuming u is positive.
u**(161/17)
Simplify (p**9/((p*p*p/p**(-3/5)*p)/p))/(p*(p/p**(-1/4))/p)**(-14) assuming p is positive.
p**(229/10)
Simplify (((q**4/q)/q)/q*q**(2/11))/(q**(2/5))**(-11/4) assuming q is positive.
q**(251/110)
Simplify (a/a**(-2))**(16/5)*(a**25*a)/a**25 assuming a is positive.
a**(53/5)
Simplify ((m**(-2/5))**(-3/7)*((m*m**(2/5)*m)/m)/m**1)**(-11) assuming m is positive.
m**(-44/7)
Simplify ((u*u**5)/u**(-1/5))**10 assuming u is positive.
u**62
Simplify (c*c**4*c**(-2))/(c*c**(-7)*c*c*c/c**(-12)*c*c) assuming c is positive.
c**(-8)
Simplify (r/(r**(-8/9)*r))/r*r/(r/r**(-11))*r**(-1/9)*r**(-1/5) assuming r is positive.
r**(-514/45)
Simplify ((g/(g**5*g*g)*g/g**1)/(g**(3/4)*g*g/((g*g**(-1/2))/g)))**14 assuming g is positive.
g**(-259/2)
Simplify (((q*q**(-24)*q)/q)/(q/(q*q*q**(-43)*q)))**(1/13) assuming q is positive.
q**(-64/13)
Simplify ((p/(((p*p**(1/2)*p*p*p)/p)/p)*p**3)/(p**(-1/11)*p**(-1/4)))**14 assuming p is positive.
p**(567/22)
Simplify ((y**(3/2))**(-7)/(y*(y*y*y/y**2*y)/y*y)**15)**(-44) assuming y is positive.
y**2442
Simplify ((s/(s/(s/s**(1/16))))/s**(-4)*s**(-2/5)*s/s**(-2/11))**3 assuming s is positive.
s**(15099/880)
Simplify ((b/(b**(3/8)*b)*b)/b*b/b**(-31))/(b*b/(b/(b*b/b**11*b)*b)*b*b/(b/(b**14*b))) assuming b is positive.
b**(189/8)
Simplify z/(z*z**32*z)*z/z**(-2/17)*z**(17/3)/z**(2/19) assuming z is positive.
z**(-25505/969)
Simplify (c**(-2)/c*c**2*(c/(c*c**0))**(-12))**(1/73) assuming c is positive.
c**(-1/73)
Simplify ((n*n**(-2/5))**(11/9)*n/n**(-2/13)*n/(n/n**(-1/2)))**(1/48) assuming n is positive.
n**(541/18720)
Simplify (x**4)**(-2/77)*x*x**(3/14)*x*x*(x/(x**(1/15)*x))/x assuming x is positive.
x**(4721/2310)
Simplify (h*h**(2/23)*h)**(-13)*(h/h**(1/16))/(h/((h*h**9)/h)) assuming h is positive.
h**(-6695/368)
Simplify (k**15*k*(k/k**(13/3))/k*k)/(k*k**(-1/4)*k**(-20)) assuming k is positive.
k**(383/12)
Simplify (f*f*f**(-3/5))**(-1/6)/(f**(1/10))**(2/5) assuming f is positive.
f**(-41/150)
Simplify ((b**(-1/6)*b**5)/(b**(-3/8)/(b/b**(1/3))))**(-4) assuming b is positive.
b**(-47/2)
Simplify y/y**(-1/2)*y**(3/14)*(y*y*y**(-13))/((y/y**(-2)*y)/y) assuming y is positive.
y**(-86/7)
Simplify (a*a**5*a*a**(7/6))**(-1/4) assuming a is positive.
a**(-49/24)
Simplify ((d*d**(-13))/d**(9/5))/(d**(2/13)/(d/d**(2/7))) assuming d is positive.
d**(-6024/455)
Simplify ((w**1)**(-1/3)/(w**(1/2))**46)**(-1/21) assuming w is positive.
w**(10/9)
Simplify (k*k/k**(-1/2))/(((k*k**(-14)*k)/k)/k)*(k**(-2))**41 assuming k is positive.
k**(-131/2)
Simplify (((v*v**(-1/24)*v*v*v)/v)/(v/(v*v**(-14))))**(1/16) assuming v is positive.
v**(-265/384)
Simplify (u*u/(u/u**(5/3)))**(4/3)/(u**(4/9)*u**10) assuming u is positive.
u**(-62/9)
Simplify (l**10)**4*(l**18)**(14/13) assuming l is positive.
l**(772/13)
Simplify i**6/(i*(((i*i/((i*i/(i/(i*i/i**(-2/3))))/i))/i)/i*i)/i)*(i**(2/13))**34 assuming i is positive.
i**(503/39)
Simplify h**(-29)*h*((h*h*h/h**(-25))/h)/h*h**(4/9)/h*h*h**(3/10) assuming h is positive.
h**(-113/90)
Simplify ((z/((z*z/(z/(z*z*z*z*z**(-2/43)))*z)/z*z))/z)/(((z**(-17)/z)/z)/z)*(z*z/(z/((z/(z**(1/2)*z))/z)))/z**8 assuming z is positive.
z**(477/86)
Simplify ((s*(s/(s/(s/s**(-19))))/s)/s)**(4/33)/(s**(-31)/s**(-2/31)) assuming s is positive.
s**(34003/1023)
Simplify (y**(-2/19))**(-6)/(y**(-14/3)*y**(-2)/y) assuming y is positive.
y**(473/57)
Simplify ((((z**(-2/11)/z*z)/z)/z)**(2/21))**(-14) assuming z is positive.
z**(32/11)
Simplify (y**(-1/3)/y*(y*y**(-7/2)*y)/y)/(y*y*y/(y/((y*y**(-7)*y*y
|
{
"pile_set_name": "DM Mathematics"
}
|
ing 1 v and 2 l when three letters picked without replacement from {v: 1, l: 4, e: 6}.
2/55
Three letters picked without replacement from {f: 4, z: 3}. What is prob of picking 2 z and 1 f?
12/35
Two letters picked without replacement from {i: 2, o: 12, u: 3}. Give prob of picking 2 o.
33/68
What is prob of picking 4 r when four letters picked without replacement from rkkrrrr?
1/7
Three letters picked without replacement from {h: 2, t: 2}. What is prob of picking 2 t and 1 h?
1/2
Three letters picked without replacement from zzyezzzeyyezezy. Give prob of picking 1 e, 1 z, and 1 y.
16/65
Three letters picked without replacement from {n: 4, a: 13, y: 3}. Give prob of picking 1 y, 1 a, and 1 n.
13/95
What is prob of picking 1 a and 2 u when three letters picked without replacement from {e: 1, u: 6, a: 4}?
4/11
Two letters picked without replacement from pmpqpymdpmp. What is prob of picking 1 p and 1 m?
3/11
Three letters picked without replacement from {x: 1, n: 3, w: 1}. Give prob of picking 2 x and 1 w.
0
What is prob of picking 1 l and 2 h when three letters picked without replacement from {v: 1, x: 1, h: 2, l: 3, t: 3}?
1/40
Calculate prob of picking 4 v when four letters picked without replacement from vvkkvvvvvvkkvvvvvv.
1001/3060
Two letters picked without replacement from nwnnwnwnnnnnwnwnnw. Give prob of picking 2 w.
5/51
Calculate prob of picking 1 y, 1 u, and 1 r when three letters picked without replacement from {u: 1, v: 1, r: 1, z: 1, y: 1}.
1/10
Three letters picked without replacement from zyyyxyyyxy. What is prob of picking 1 y and 2 z?
0
Four letters picked without replacement from {o: 2, r: 2, t: 4, a: 3, w: 3, m: 1}. What is prob of picking 2 t, 1 a, and 1 o?
12/455
Four letters picked without replacement from wwwoowwooowwww. Give prob of picking 4 w.
18/143
Two letters picked without replacement from {x: 1, s: 2, j: 1, b: 4, y: 1}. Give prob of picking 1 s and 1 j.
1/18
What is prob of picking 1 w, 1 r, and 1 i when three letters picked without replacement from riwyirrwotyiwrowwooo?
1/19
Three letters picked without replacement from bobo. Give prob of picking 1 o and 2 b.
1/2
Four letters picked without replacement from rdirrdv. Give prob of picking 2 r and 2 d.
3/35
Four letters picked without replacement from wmkwekweekmeeemww. Give prob of picking 3 k and 1 m.
3/2380
Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, a: 5}.
1/21
Calculate prob of picking 2 g when two letters picked without replacement from {b: 1, g: 4, k: 3}.
3/14
What is prob of picking 2 w, 1 y, and 1 p when four letters picked without replacement from pyppwypwwzzp?
2/33
Calculate prob of picking 2 s and 1 e when three letters picked without replacement from ssssssssssedsss.
6/35
Calculate prob of picking 1 t, 1 g, and 1 z when three letters picked without replacement from {t: 5, z: 7, g: 7}.
245/969
What is prob of picking 1 s, 1 y, and 1 p when three letters picked without replacement from {l: 1, p: 1, s: 2, y: 5, c: 1, g: 5}?
2/91
Four letters picked without replacement from zzazzzzfhqfqzzzzzzzz. Give prob of picking 1 a and 3 z.
364/4845
Calculate prob of picking 1 v and 3 g when four letters picked without replacement from {v: 5, g: 15}.
455/969
Calculate prob of picking 1 e and 1 h when two letters picked without replacement from beeiieeehibiiiiieeii.
7/190
Two letters picked without replacement from uujwujwwwjwwj. Give prob of picking 2 w.
5/26
What is prob of picking 1 c and 1 f when two letters picked without replacement from {c: 2, n: 1, e: 8, f: 2, d: 2}?
4/105
What is prob of picking 1 v, 1 t, and 2 f when four letters picked without replacement from {f: 6, t: 3, v: 6}?
18/91
What is prob of picking 2 g when two letters picked without replacement from {g: 2, k: 1, f: 6, j: 4}?
1/78
Two letters picked without replacement from {z: 1, a: 3, k: 1, c: 1, h: 5, i: 2}. What is prob of picking 2 h?
5/39
Two letters picked without replacement from sqsqqsllqqqslssss. What is prob of picking 2 q?
15/136
Three letters picked without replacement from {b: 1, o: 1, s: 4, f: 2}. Give prob of picking 1 o, 1 f, and 1 s.
1/7
What is prob of picking 2 i and 1 s when three letters picked without replacement from {s: 1, n: 7, i: 12}?
11/190
Two letters picked without replacement from addvwdwzd. What is prob of picking 1 w and 1 d?
2/9
Three letters picked without replacement from yiydbyi. Give prob of picking 2 y and 1 b.
3/35
Three letters picked without replacement from tqqqqtqqqwqqqqt. What is prob of picking 1 t and 2 q?
33/91
Three letters picked without replacement from {n: 4, m: 6}. What is prob of picking 2 m and 1 n?
1/2
What is prob of picking 1 o and 2 z when three letters picked without replacement from {o: 3, z: 3, x: 1, g: 5, q: 1}?
9/286
Two letters picked without replacement from {b: 2, x: 1, w: 2}. What is prob of picking 1 x and 1 w?
1/5
Two letters picked without replacement from eee. What is prob of picking 2 e?
1
Calculate prob of picking 1 r, 1 x, and 2 j when four letters picked without replacement from {x: 7, j: 11, r: 2}.
154/969
Two letters picked without replacement from fbbfgbfebfffbeqfgbgb. What is prob of picking 1 g and 1 f?
21/190
Four letters picked without replacement from iiiiiaiaiiaiaiiiaai. Give prob of picking 2 i and 2 a.
195/646
Three letters picked without replacement from {y: 1, f: 7, n: 5}. Give prob of picking 3 f.
35/286
Calculate prob of picking 1 s and 1 a when two letters picked without replacement from saaasaaasa.
7/15
Three letters picked without replacement from {x: 7, s: 7}. What is prob of picking 2 s and 1 x?
21/52
Three letters picked without replacement from kkmmk. Give prob of picking 1 k and 2 m.
3/10
Calculate prob of picking 1 u, 2 r, and 1 e when four letters picked without replacement from {r: 5, e: 7, u: 1}.
14/143
Three letters picked without replacement from {e: 3, b: 1, m: 3}. Give prob of picking 2 m and 1 e.
9/35
Calculate prob of picking 2 g when two letters picked without replacement from cggccggcgggccmcggggg.
33/95
Calculate prob of picking 2 y when two letters picked without replacement from dddddddddddydydddd.
1/153
Calculate prob of picking 2 b when two letters picked without replacement from gvvvbvvbgbvgvgvb.
1/20
Four letters picked without replacement from fufuuuf. Give prob of picking 4 u.
1/35
Calculate prob of picking 2 d and 2 f when four letters picked without replacement from fuddorfr.
1/70
What is prob of picking 2 k and 1 n when three letters picked without replacement from {n: 1, p: 2, k: 4}?
6/35
Calculate prob of picking 2 v and 1 a when three letters picked without replacement from cvylarlvc.
1/84
Calculate prob of picking 1 o and 1 g when two letters picked without replacement from gog.
2/3
What is prob of picking 2 s when two letters picked without replacement from {s: 8, x: 2, m: 1, v: 5, a: 1}?
7/34
Four letters picked without replacement from ucpgi. Give prob of picking 1 u and 3 c.
0
Three letters picked without replacement from {h: 5, m: 5, g: 3}. What is prob of picking 3 g?
1/286
Calculate prob of picking 2 b when two letters picked without replacement from {g: 12, b: 6}.
5/51
Calculate prob of picking 3 j and 1 z when four letters picked without replacement from sjzszzssjzzjz.
6/715
Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {c: 3, j: 5, v: 5}.
25/143
Three letters picked without replacement from uuiuuuiu. Give prob of picking 3 u.
5/14
Three letters picked without replacement from {l: 3, y: 11}. What is prob of picking 3 l?
1/364
Three letters picked without replacement from fsfsssssfsff. Give prob of picking 1 f and 2 s.
21/44
Three letters picked without replacement from {i: 1, n: 3, r: 3, j: 2, a: 2, q: 3}. Give prob of picking 2 q and 1 r.
9/364
Two letters picked without replacement from {l: 2, d: 2, k: 2}. What is prob of picking 1 d and 1 k?
4/15
Three letters picked without replacement from nzzzznnzznzzzzznzn. What is prob of picking 3 z?
55/204
Two letters picked without replacement from hrhxjeve. What is prob of picking 1 e and 1 j?
1/14
Calculate prob of picking 1 z, 1 d, 1 s, and 1 e when four letters picked without replacement from zdsisei.
2/35
Three letters picked with
|
{
"pile_set_name": "DM Mathematics"
}
|
m in i, 4, -1/3?
i
Let t = 217.3 + -39.3. Let k = -179 + t. Let m = -0.4 - -1.4. What is the nearest to k in 0, m, 0.4?
0
Suppose 119*b - 124*b + 10 = 0. What is the closest to -6 in -37, b, -2/3, -3?
-3
Let z = 9 - 11. Let p = 20.609 + -20.809. Which is the closest to z? (a) 1/6 (b) 0.4 (c) p
c
Let l be (-616)/(-66) - (-4)/(8/(-18)). Which is the nearest to -0.5? (a) 3 (b) l (c) 0.3 (d) 0.5
c
Let j(t) = -603*t - 88632. Let p be j(-147). Let n be (-4)/(-10) + 0 + 0. What is the closest to n in 2, -0.4, p, 4?
-0.4
Let x(f) = 125*f + 374. Let g be x(-3). What is the closest to 2/3 in -338, -3, g?
g
Let k = -14 + 13.9588. Let t = -0.0412 - k. What is the closest to t in 1/7, -1, -0.02?
-0.02
Let p = 722.3 + -726.3. What is the nearest to 0.1 in p, -22, 1.8?
1.8
Let k = 8.9 - 9. Let r = k - -1.1. Let d = 4.7 - 4.68. Which is the closest to r? (a) -2 (b) d (c) -1/4
b
Let u = -134.9 + 133.9. Which is the closest to u? (a) 1/9 (b) 1/4 (c) 1/81
c
Let r = 838.79 + -838.89. Let m = -3 - -5. Suppose -m*f = f + 15. What is the closest to r in -3, f, -21?
-3
Let o = 1 + -1.5. Let g = -165154 + 165149. What is the nearest to o in 13, -2/3, g?
-2/3
Let y = 435/28 - 61/4. Let g = 0.238773 - 1.038773. What is the closest to 0.2 in y, g, 2/13?
2/13
Let f(u) = -12*u - 31. Let d(l) = -l + 3. Let t(x) = 30*d(x) - 5*f(x). Let v be t(-8). Which is the closest to -0.01? (a) 2 (b) -0.4 (c) v
b
Let z = 30/13 - 47/26. Let y = -0.081 + 0.131. Let m = -117 - -1052/9. Which is the closest to y? (a) z (b) m (c) 1
b
Let m = 5 - 3.03. Let i = -139.03 + 139. Let h = i - m. What is the nearest to h in 3/5, -3, -5?
-3
Let v = -7.83 + 3.83. Let t = 8 - 11. What is the nearest to 1/6 in v, t, -0.1?
-0.1
Let z be (-21)/(-210) - (-51)/(-10). What is the closest to -0.1 in 3, -23, z?
3
Let b = 3176 - 3173. What is the closest to 4 in 39, b, -0.5?
b
Let i be ((-8)/(-10))/(18/15). Let k = -1824 + 1823.6. What is the nearest to 2/3 in k, i, -0.02?
i
Let p = 858 + -839. Let u = 14 + -12. What is the nearest to u in -0.4, -0.2, p?
-0.2
Let w be 48/21 + 29/((-1421)/14). Which is the nearest to 16? (a) w (b) -1.2 (c) -0.4
a
Let g = 32 + -25. Let d = -7.3 + g. Suppose 70*w + 20 = 65*w. What is the nearest to -0.2 in d, -6, w?
d
Let t = 831.6 - 831.9. What is the nearest to -0.3 in 4/199, t, -1/8?
t
Let b = -41.78 - -35.78. What is the closest to 0.02 in 4/7, b, 2?
4/7
Let f be -781 + 4 - 9/(-1). Let r = 766 + f. What is the closest to 10 in 3, r, -0.07?
3
Let p = 12237 + -36721/3. What is the closest to -0.5 in -27, 4, p?
p
Let s = -8.914 + 9.054. Which is the closest to -1? (a) 0.5 (b) 18 (c) s (d) 0
d
Let m(f) = f**3 + 20*f**2 - 45*f - 22. Let s be m(-22). What is the nearest to -2 in -0.2, -1, 38, s?
-1
Suppose 15 = -0*l - 10*l - 25. Let d(i) = -3*i - 2. Let g be d(-1). What is the closest to g in l, -5, 4, -8?
4
Let i = -108 - -754/7. Let r = -18/7 + 29/14. What is the closest to 6 in i, -2, 0.2, r?
0.2
Let j = 0.1 - -0.1. Let h be (15*(-19)/(-1710))/2. What is the closest to -3 in h, -3, 0.1, j?
-3
Let g = -150.8 + -31.2. Let s = 187 + g. Let z(w) = -w**3 - w**2 - 2*w - 1. Let a be z(-1). What is the nearest to 1/3 in 0, a, s?
0
Let h = -2034.964 - -2030. Let n = -0.036 + h. Let u = 4 + n. What is the closest to 1/4 in 2/7, -4, u?
2/7
Let q(t) = t**2 + 71*t + 271. Let i be q(-67). Which is the nearest to -0.1? (a) -2/11 (b) -0.4 (c) i (d) 5/3
a
Let f = 300.5 + -362. Let p = f + 64.5. What is the closest to -1 in 0, p, 1/2, -1?
-1
Let j = -0.16 - -0.52. Let x = -0.31812 + 0.01812. Let r be 32/(-14) + (5 - 3). Which is the closest to j? (a) 3 (b) x (c) r
c
Let r = -0.1163 - 0.0837. Let t = -21.46 + 0.46. Let l = -19 - t. What is the closest to l in 1/5, 3/5, r?
3/5
Let l = 3/5087 - 10189/25435. What is the nearest to -3 in 0.082, l, 2, -2/11?
l
Suppose 4*s + 44 = 5*z + 121, 5*s = -5*z + 130. Suppose -5*c + 7 = -s. Let r be ((-1)/(-3))/(c/9). What is the closest to -1 in 0, r, 2.1?
0
Let l be 1/(-315)*21 - 4/90. Which is the closest to -2? (a) -0.1 (b) -77 (c) l
c
Let t = 166.89 + -167. Let v = -3483.1 - -3483. What is the nearest to 0 in -1, v, t, -1/4?
v
Let t = -0.5204 + 26.5204. What is the closest to t in 3/2, 0.2, 3?
3
Let n = 14.7 + -12. Let r = n - -0.3. Let k = -0.125 + -0.475. Which is the nearest to 1/3? (a) r (b) 1/7 (c) k
b
Let o = -14/13 - -72/91. Let v = -274 - -277. Let y be ((-144)/120)/(v/2). Which is the nearest to o? (a) y (b) 3 (c) -0.06
c
Let o = 8 - 8.5. Which is the nearest to 65? (a) 1/3 (b) o (c) -2/21 (d) 3
d
Let j = 326 - 342. Let r = -277 + 276.9. Which is the closest to 1? (a) r (b) 1 (c) -0.2 (d) j
b
Let g be 2967/(-2070) - 8/(-6). What is the closest to g in 6/11, -1, -16?
6/11
Let g = -3222 - -3224. Which is the nearest to -1? (a) -0.03 (b) 0.5 (c) g (d) 8
a
Suppose -3*t - p + 2*p - 13 = 0, -t + 3*p = 7. Let i = 1580.32 - 1580.2. Which is the nearest to i? (a) -2 (b) 1/3 (c) t
b
Let w be (-9)/(-4) + 0 + -2. Let p = 0.58 - 0.08. Let m = -0.404 + 0.004. Which is the nearest to 0.6? (a) w (b) m (c) p
c
Suppose -v = -2*c + 4*v + 35, 2*c - 3*v - 25 = 0. Suppose 0 = 5*j + 10 + c. Let m = 57 + -58. What is the nearest to m in 0.1, -1, j?
-1
Let n = 2147/4 + -9661/18. What is the nearest to -1/4 in 0.9, 0, n?
0
Suppose 3*o = -o + 604. Let i = 1361/9 - o. Suppose -3*k - 5*k = -k. Which is the closest to k? (a) i (b) -2/11 (c) -4
b
Let j = -814.1592 - -0.1592. Let w = -809 - j. Let p be -1 + 2*(-1)/(-5). Which is the nearest to -2/5? (a) p (b) -4 (c) w
a
Let k = -0.1 - -0.1. Let w = 42.381 - 38.381. Which is the nearest to -1? (a) -7 (b) k (c) w
b
Let r = 15.2 + -15. Let n = -74641/11 - -6785. What is the closest to r in -1/3, n, 1?
-1/3
Suppose -3*j = -2*r + 14, -j + 0*j = -r + 6. Which is the closest to -19? (a) -0.3 (b) 5 (c) r (d) -3
d
Let o = 1372 - 1372.1. Which is the closest to o? (a) -0.16 (b) -0.07 (c) -0.1
c
Let v = -7 + 7. Let h = 1004 + -7188/7. Let l = 661/28 + h. Which is the nearest to 1? (a) -1 (b) l (c) v
b
Let o = 0.062 + 0.0194. Let t = 2.0814 - o. What is the nearest to 1 in 4, t, -2/13?
t
Let n = 25 - -27. Let v = n + -51.9. Let g = 1/13 - -23/39. Which is the nearest to -0.2? (a) v (b) 0.4 (c) g
a
Let n = -2.9656 - 1.0344. Suppose l + 2*w + 5 = -3, -5*l - 8 = 2*w. What is the closest to l in 1.7, -0.5, n?
-0.5
Let f be ((-216)/(-48) - 3)/(3/4). Which is the nearest to -2/11? (a) -2 (b) 8 (c) 7 (d) f
a
Let s = 6400 - 6405. What is the nearest to 0.4 in 6, 3/7, s?
3/7
Let k = 217693/8 + -27212. What is the nearest to 11 in 5/13, k, 3, 0.5?
3
Let h be -6*((-1)/(-2))/(-1). Let j = -1.29 - -1.644. Let g = j + -0.154. Which is the closest to -0.2? (a) g (b) h (c) -4/7
c
Let h = 251 + -155. Let c = -100 + h. What is the closest to c in 0.4, 2, -0.2?
-0.2
Let d = -4.72 - -0.72. Let x be ((-8)/(-4))/(-2) - (-3)/3. Let q(p) = p**2 + p. Let l be q(x). Which is the closest to l? (a) -1 (b) 0.4 (c) d
b
Let m(v) = v**3 + 4*v**2 + 2*v + 2. Let s be m(-4). Let r be (9/(-4))/(s/(-4)). Let f = -10993 - -208869/19. What is the nearest to 2/5 in r, f, -1?
f
Let k = 97058 + -97059. Let n = 5 + -7. What is the nearest to 0 in -5, k, 15, n?
k
Let l = -5258 + 5257.98. What is the closest to 0 in l, -0.9, 4?
l
Let q = 3587 - 1101211/307. Let c = -311/614 - q. Let s be 3 + (9/(-2) - -2). What is the nearest to s in c, -0.2, 0?
0
Let u be -1 - (5 + 4 + -8)/((-4)/5). Which is the nearest to 3? (a) -7 (b) u (c) -17 (d) 4
d
Let u = 191.73 + -1.73. Let i = 191 - u. Which is the nearest to 0.4? (a) i (b) 3 (c) -5
a
Let o = 0.1 - 0.3. Suppose 344 + 296 = -37*y - 91*y. What is the closest to o in 5, -23, y?
y
Let j = -366 + 270. Let q = j - -91. Suppose -3*o = -15, 0 = 5*b - b + o - 17. What is the nearest to 0 in b, 0, q?
0
Let o be (-11)/4 - (-4)/((-20)/(-15)). Let d = -0.057 + 0.257. Which is the closest to d? (a) o (b) -27 (c) -1/2
a
Let f = 4232/5 - 16933/20. Which is the nearest to 1/293? (a) -1/6 (b) 0.2 (c) -2/3 (d) f
a
Let f(a) = 49*a + 1560. Let n be f(-32). What is the nearest to 2 in -1, -2/39, 3, n?
3
Suppose -3*r + 4*z = -2, -r + 12 = 3*r + 4*z. Let x be (r/(-4))/(3/(-6)). Let u be 8*((-153)/(-18) - 9). Which is the closest to 2/5? (a) 5 (b) x (c) u
b
|
{
"pile_set_name": "DM Mathematics"
}
|
What comes next: -164224, -164239, -164254, -164269?
-164284
What comes next: 109, -30, -649, -1988, -4287?
-7786
What comes next: 86327781, 86327782, 86327785, 86327790, 86327797?
86327806
What comes next: -24040, -24015, -23990, -23965, -23940?
-23915
What is next in -10585, -10082, -9579, -9076?
-8573
What is next in -3560, -7251, -10968, -14723, -18528, -22395, -26336?
-30363
What comes next: -2442, -2545, -2658, -2787, -2938, -3117, -3330?
-3583
What comes next: 12686, 12086, 11490, 10898, 10310, 9726?
9146
What comes next: 2786, 5421, 7904, 10235, 12414, 14441, 16316?
18039
What is the next term in 6306700, 6306795, 6306890, 6306985?
6307080
What comes next: -65724, -65148, -64576, -64008, -63444, -62884, -62328?
-61776
What comes next: -57093512, -57093518, -57093536, -57093572, -57093632, -57093722, -57093848, -57094016?
-57094232
What is next in 1309, 11222, 38125, 90514, 176885, 305734?
485557
What is next in -2208327, -2208419, -2208511, -2208603, -2208695?
-2208787
What is next in 111657, 111627, 111557, 111429, 111225?
110927
What comes next: -102650, -205637, -308624, -411611, -514598?
-617585
What comes next: 13851014, 13851021, 13851032, 13851047?
13851066
What comes next: 59420, 114231, 169042, 223853, 278664, 333475?
388286
What comes next: -7449, 1502, 10473, 19470, 28499, 37566, 46677?
55838
What comes next: 1325534, 2651244, 3976954, 5302664, 6628374, 7954084?
9279794
What comes next: -25531, -51138, -76741, -102340, -127935, -153526, -179113?
-204696
What comes next: 36270, 35924, 35348, 34542, 33506, 32240?
30744
What comes next: -28056, -52140, -76224, -100308, -124392, -148476?
-172560
What is the next term in -1223990, -2447980, -3671970, -4895960, -6119950?
-7343940
What is next in 500585, 498385, 492417, 480797, 461641, 433065, 393185, 340117?
271977
What is the next term in -57910, -57960, -58044, -58162, -58314, -58500?
-58720
What is the next term in 5441, 22886, 70243, 162470, 314525, 541366, 857951, 1279238?
1820185
What is next in -75, -509, -1329, -2535?
-4127
What comes next: -1103, -1413, -1895, -2549, -3375?
-4373
What is next in 657, 438, 223, 0, -243?
-518
What is next in -172010, -344040, -516066, -688088, -860106, -1032120?
-1204130
What comes next: -65700, -246325, -547368, -968829, -1510708, -2173005, -2955720?
-3858853
What is next in -210920, -843520, -1897854, -3373922, -5271724, -7591260?
-10332530
What is the next term in -11075002, -11074941, -11074840, -11074699, -11074518, -11074297, -11074036?
-11073735
What is the next term in -23820463, -95281832, -214384099, -381127252, -595511279, -857536168, -1167201907, -1524508484?
-1929455887
What comes next: -67749, -135713, -203677, -271641, -339605, -407569?
-475533
What is the next term in -128462, -256960, -385456, -513950, -642442?
-770932
What comes next: -115769, -231501, -347233, -462965, -578697?
-694429
What is next in -253225765, -506451528, -759677291, -1012903054?
-1266128817
What is the next term in 57, 1624, 4223, 7842, 12469, 18092?
24699
What is next in 1833, 1918, 2115, 2472, 3037, 3858, 4983, 6460?
8337
What is the next term in -95821, -191484, -287147?
-382810
What is next in 16665, 66493, 149461, 265569, 414817, 597205, 812733?
1061401
What is the next term in -726, -2324, -5280, -9834, -16226, -24696, -35484, -48830?
-64974
What is the next term in 359, 2575, 8589, 20303, 39619, 68439, 108665?
162199
What is next in -4500578, -4500602, -4500658, -4500758, -4500914, -4501138, -4501442?
-4501838
What comes next: 332, 616, 884, 1142, 1396, 1652, 1916?
2194
What is next in 396, 631, 520, -129, -1508?
-3809
What comes next: 102131, 408521, 919177, 1634105, 2553311, 3676801?
5004581
What is the next term in -68236, -69723, -71210, -72697?
-74184
What is the next term in -607, -2179, -4711, -8203, -12655, -18067?
-24439
What is the next term in 466605, 933158, 1399661, 1866114, 2332517, 2798870?
3265173
What comes next: -1123008, -2245518, -3368026, -4490532, -5613036, -6735538, -7858038?
-8980536
What is the next term in -4069, -16047, -36079, -64225, -100545, -145099, -197947, -259149?
-328765
What is the next term in 209986958, 209986953, 209986944, 209986931?
209986914
What is next in -109481, -109663, -109845, -110027, -110209?
-110391
What comes next: -9804476, -9804470, -9804472, -9804488, -9804524, -9804586?
-9804680
What comes next: -32536, -67524, -102512, -137500, -172488, -207476?
-242464
What is the next term in -973152189, -973152190, -973152191, -973152192?
-973152193
What comes next: 132571, 132532, 132491, 132448?
132403
What is the next term in -807075, -807066, -807053, -807036, -807015, -806990?
-806961
What is the next term in -1052230, -4208860, -9469884, -16835308, -26305138, -37879380?
-51558040
What comes next: -611343, -1222663, -1833977, -2445285, -3056587, -3667883?
-4279173
What is the next term in 83772149, 83772143, 83772137, 83772131, 83772125?
83772119
What is next in -16699, -16175, -15303, -14077, -12491, -10539?
-8215
What comes next: -52966444, -105932888, -158899332, -211865776, -264832220, -317798664?
-370765108
What is the next term in 140447, 561872, 1264245, 2247566, 3511835, 5057052, 6883217?
8990330
What comes next: -908, -3888, -8934, -16046, -25224, -36468?
-49778
What is the next term in -4652, -4964, -5264, -5552, -5828?
-6092
What is the next term in 5741536, 11483094, 17224652, 22966210, 28707768?
34449326
What is next in -11809, -23512, -35215?
-46918
What is the next term in 5819172, 5819191, 5819210, 5819229, 5819248?
5819267
What is the next term in -1400054, -1400050, -1400040, -1400024, -1400002, -1399974?
-1399940
What is next in 704, 2895, 6576, 11747?
18408
What comes next: 3884020, 7768043, 11652066, 15536089?
19420112
What is next in -15644450, -15644408, -15644366, -15644324, -15644282?
-15644240
What is next in -404, -619, -834, -1049, -1264, -1479?
-1694
What comes next: 105793, 107368, 111633, 119932, 133609?
154008
What comes next: -3307, -6681, -10167, -13783, -17547, -21477?
-25591
What is the next term in 967, -179, -1499, -2993?
-4661
What comes next: -7829, -16684, -25539, -34394?
-43249
What is the next term in -1796, -7105, -15934, -28277, -44128?
-63481
What is next in 11985, 23542, 35099, 46656, 58213?
69770
What is the next term in 28809, 115630, 260487, 463380, 724309, 1043274, 1420275?
1855312
What comes next: 101272025, 202544052, 303816079, 405088106?
506360133
What comes next: -237, -1982, -6739, -16020, -31337?
-54202
What is next in -1075, -8499, -28653, -67903, -132615, -229155, -363889, -543183?
-773403
What comes next: -5298, -8983, -11056, -11517, -10366, -7603, -3228?
2759
What comes next: -7203, -14604, -22005?
-29406
What is next in 834, 1063, 174, -2391, -7190, -14781, -25722, -40571?
-59886
What comes next: -1321, -5201, -11611, -20551, -32021?
-46021
What comes next: -174, -1202, -3848, -8874, -17042, -29114?
-45852
What is next in -8482072, -8482044, -8482016, -8481988, -8481960, -8481932?
-8481904
What is the next term in 7124, 13971, 20822, 27677, 34536?
41399
What is next in 308, 1687, 5010, 11117, 20848?
35043
What comes next: 36580, 73231, 109882, 146533, 183184, 219835?
256486
What is next in -10115, -39473, -88403, -156905?
-244979
What is the next term in -4094, -8011, -11932, -15857, -19786, -23719?
-27656
What is the next term in 3350175, 3350145, 3350097, 3350031, 3349947?
3349845
What is the next term in -4389, -24821, -58877, -106563, -167885, -242849?
-331461
What is the next term in -1269840, -5079392, -11428658, -20317638, -31746332, -45714740, -62222862?
-81270698
What comes next: -76802919, -76802918, -76802917, -76802916, -76802915, -76802914?
-76802913
What is next in 18578, 18584, 18598, 18620?
18650
What comes next: -40482619, -80965241, -121447867, -161930497?
-202413131
What is next in 21229, 42599, 64019, 85489, 107009, 128579?
150199
What is next in -8356, -15982, -23608, -31234?
-38860
What is next in -33481, -66377, -98689, -130417, -161561, -192121, -222097?
-251489
What is next in 5507194, 5507192, 5507190, 5507188?
5507186
What is the next term in -176897736, -176897737, -176897738, -176897739?
-176897740
What comes next: -21209, -43249, -65277, -87287, -109273, -131229?
-153149
What is the next term in 11
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when 41/((-615)/(-3132)) - 16/20 is divided by 71?
66
Let s(n) = n**3 + 26*n**2 - 29*n - 10. Let q be s(-27). What is the remainder when 63 is divided by -2 - (6/(-33) - 828/q)?
12
Let w(q) = 0*q + 14 + 34*q + 5 + q**2 - 11*q - 7*q. Calculate the remainder when w(-24) is divided by 36.
31
Suppose -4*b = 12, -6*l + 7*l - 5*b = 53. Suppose 31*w + 490 = l*w. What is the remainder when 276 is divided by w?
66
Let l(j) = 4*j**2 + 5*j - 7. Suppose 6*m + 245 - 251 = 0. What is the remainder when l(6) is divided by (4 - m)/((-57)/(-323))?
14
Suppose -3040 + 777 = -21*r + 1958. Calculate the remainder when r is divided by 3.
0
Let u(y) be the third derivative of y**4/24 + 2*y**3/3 - 14*y**2. Let o(v) = 15*v**3 - 5*v**2 + 8*v - 2. Calculate the remainder when o(1) is divided by u(5).
7
Suppose 0 = 16*o - 15*o - 45. Calculate the remainder when o is divided by 3.
0
Let o = 30 + -28. Calculate the remainder when 75 is divided by 5 - (1 + o) - -9.
9
Suppose 12*m + 34070 = -17*m + 39*m. What is the remainder when m is divided by 92?
3
What is the remainder when ((-338)/1)/(30/(-900)*20) is divided by 506?
1
Suppose -5*f + 16 + 19 = 2*u, 6*f + 2*u = 42. Let h(v) = 2*v**3 + 2*v**2 - 3*v - 2. Let y be h(-2). What is the remainder when (-2)/12*y*48 is divided by f?
4
Let x(j) = j**2 - 29*j - 16. Let l be x(28). Suppose 4*u + g - 179 = 0, -3*u - 4*g + 0*g = -131. Let y = u + l. What is the remainder when 2 is divided by y?
0
Let w = -433 + 403. Let u(t) = t**3 + 31*t**2 + 26*t - 104. Calculate the remainder when (-2)/(-9) - 511/(-9) is divided by u(w).
9
Suppose 4520 = 38*x - 18128. What is the remainder when x is divided by 14?
8
Let v = -10265 - -10336. What is the remainder when 458 is divided by v?
32
What is the remainder when 8513 is divided by ((-51)/(-24))/(-1 + 0 - 36/(-32))?
13
Let m(h) = h**3 - 6*h**2 + 7*h - 5. Let z = 501 + -498. Suppose 0 = -3*i + z*u + 9, 9*u + 8 = 5*i + 11*u. What is the remainder when m(5) is divided by i?
1
Let g(y) = 31*y + 2 - 6 + 6 + 2. Suppose -27*b + 223 + 236 = 0. Calculate the remainder when g(3) is divided by b.
12
Suppose -2*k - 11 = 3*w + 4, -3*w = 4*k + 15. Suppose 64*n - 81*n + 1530 = k. What is the remainder when n is divided by 8?
2
Let w(k) be the first derivative of -264*k**2 + 13*k - 67. What is the remainder when w(-1) is divided by 34?
31
Suppose -3740 = 3*q - 8*q. Let y = 117 + -42. Calculate the remainder when q is divided by y.
73
Let g = 10702 + -10693. Let i be 2 + (-13 - 3) + 2. What is the remainder when g is divided by 1/(1 - i/(-15))?
4
Let z = 18250 + -17505. What is the remainder when z is divided by 44?
41
What is the remainder when (841 - 5) + 11 - -4 is divided by 19?
15
Let d = -2792 + 3035. What is the remainder when d is divided by 94?
55
Let p(i) be the second derivative of -i**4/12 - i**3/2 + 2*i**2 - 7*i. Let q be p(-3). What is the remainder when 106 is divided by 355/20 - (-1)/q?
16
Suppose 4*l - 2*m + 26 = 3*l, 4*l = m - 139. Suppose i + 244 = 3*i. Calculate the remainder when i is divided by 36 + (-3)/(-21) + l/7.
29
Suppose 31*d - 1171 = 7. Let w(j) = -j**3 + 6*j**2 - j + 3. Let n be w(5). Suppose 3 = 2*q - n. Calculate the remainder when d is divided by q.
12
Suppose 191*s = 189*s + 106. Let v = s - 12. What is the remainder when v is divided by 5?
1
Let u = -47 + 63. Suppose -24 = -5*k - 3*q + 2*q, 0 = -k - 3*q + u. Suppose 0 = k*d - 24 - 8. Calculate the remainder when 15 is divided by d.
7
Suppose 3*k - 4940 = 4*i, 2*k - 4*i - 3275 = -5*i. Suppose 6*u = -404 + k. Calculate the remainder when u is divided by 69.
68
Let o(t) = -60*t + 1. Let j be o(-2). Suppose 0 = 8*d - j + 25. What is the remainder when 105 is divided by d?
9
Suppose 5*k + 204*b = 206*b + 42, -4*k - b = -31. Suppose 7 + 26 = -3*x. Let n(m) = -m**2 - 11*m + 2. Calculate the remainder when k is divided by n(x).
0
Suppose 0 = -20*m + 19*m + 13. Suppose 44*y + m = 45*y. Let q = -7 + 12. What is the remainder when y is divided by q?
3
Let t = 110 - -384. What is the remainder when t is divided by ((-17)/(-2))/(-17)*-110?
54
Let m(h) = -h**3 + 21*h**2 - 35*h - 42. Let y be m(19). Suppose -k + 3*g = -3 - y, -10 = 5*g. Calculate the remainder when 191 is divided by k.
11
Let j(s) = -5*s**2 - 42*s - 37. Calculate the remainder when 1713 is divided by j(-6).
33
Let s(z) = -67*z - 27. Let i be s(4). Let x = -271 - i. Calculate the remainder when x is divided by 5.
4
Suppose 5*y - 5*c = 94 + 291, 5*c + 311 = 4*y. Let i = 328 - 290. Calculate the remainder when y is divided by i.
36
Suppose -2*c - 5*d + 1832 = 0, -105*c + 110*c - 4580 = 2*d. What is the remainder when c is divided by 182?
6
What is the remainder when (-73)/(3 + ((-5)/(-165))/((-3)/300)) is divided by 16?
9
Suppose 83*c - 979 - 748 - 265 = 0. Calculate the remainder when 1361 is divided by c.
17
Suppose -178 = -2*b - 0*b - j, -5*b = 3*j - 447. What is the remainder when b is divided by 44?
43
Suppose -2226 - 1824 = -30*j. Calculate the remainder when j is divided by 33.
3
Let i = 34932 - 34791. Suppose -n - 97 = -4*w, 25 = w - 0*w - n. What is the remainder when i is divided by w?
21
Suppose -2*w = 5*b - 105, 5*b - 83 = -5*w + 172. Let c = 70 + -40. Calculate the remainder when w is divided by c.
20
Let a(r) = -r**2 - 7*r + 149. Let z = 16 - 11. What is the remainder when a(8) is divided by z?
4
Let j(a) = 3*a - 100. Suppose -8*y + 61 + 171 = 0. Let b be j(y). Let i(w) = -5*w - 26. What is the remainder when 194 is divided by i(b)?
38
Let p(v) = -160*v + 1127. What is the remainder when 1796 is divided by p(7)?
4
Suppose -537 + 397 = -28*y. Calculate the remainder when 349 is divided by y.
4
Suppose -2*l = 3*b - 7549, -5*l + 78*b - 73*b + 18910 = 0. Calculate the remainder when l is divided by 63.
62
Let w(f) = f**3 + 10*f**2 - 4*f + 282. What is the remainder when 1296 is divided by w(-12)?
36
Let r(s) = -3*s**3 + 2*s**2 + s. Let k be r(-1). Suppose 3*z + 107 - 15 = k*v, -16 = -v - z. Let a = -11 + v. What is the remainder when 29 is divided by a?
2
Suppose 196 = 4*c - 11*c. Let x be ((-1)/(-2))/(2/188). Let n = c + x. What is the remainder when 75 is divided by n?
18
Suppose 2948 = 4*o - 4*t, -t = -5*t + 12. Calculate the remainder when o is divided by 33.
14
Let m(g) be the second derivative of -3*g**3/2 + 84*g**2 + 4*g + 18. Calculate the remainder when m(-8) is divided by 61.
57
Suppose -2*p + 48 = -0*p. Let d = 1865 - 1755. What is the remainder when d is divided by p?
14
Let j be (-2)/3 - (-8)/((-48)/290). Let k = 53 + j. Suppose -4*w = -5*y - 419 + 57, -y - 370 = -k*w. Calculate the remainder when w is divided by 24.
21
Let h(r) = -r**2 + 7*r + 5. Suppose -1304 = -63*s + 775. Calculate the remainder when s is divided by h(4).
16
What is the remainder when 335 is divided by (21505/22)/17 - 4/8?
50
Suppose 0 = -5*d + 766 + 209. Suppose 4*x + d = 5*c, -c + 3*x = 2*x - 38. Let q = 131 + -46. Calculate the remainder when q is divided by c.
42
Suppose 0 = x + 4*n, -2*x - 2*n - 19 = -43. What is the remainder when 188 is divided by x?
12
Suppose -109 = 3*h + 4*p, 5*h - 4*p + 357 = 122. Let w = 66 + h. Let s = 405 - 397. Calculate the remainder when w is divided by s.
7
Let c(x) = -2*x**2 - 29*x - 25. Calculate the remainder when 5320 is divided by c(-3).
40
Let m be 68/(-272)*(-492 - 0). Suppose 130*f - m*f = 812. What is the remainder when f is divided by 13?
12
Calculate the remainder when 382 is divided by 291/(5 - (-5 + 170/20)).
188
Let n = 64 + -22. Suppose 2*o + 4 = 0, 0 = 4*q + 14*o - 12*o + 4. Suppose -4*m - 5*t + 50 = q, 6*t + 13 = m + 7*t. What is the remainder when n is divided by m?
12
Suppose -296 = -2*a + 7*w - 5*w, w = -5*a + 728. Let b = a + -124. Let d = 13 + 30. Calculate the remainder when d is divided by b.
21
Let z = -19132 - -19143. Suppose 3*t + 2*n + 2*n = -9, -4*t - 12 = -2*n. Let a = t + 43. What is the remainder when a is divided by z?
7
Let n = -126 - -154. Suppose 0 = -13*l + 20*l + n. Calculate the remainder when 137 is divided by 32 - -2*(1 - l/8).
32
Let l = 11277 + -11167. Let v = 0 + 7. What is the remainder when l is divided by v?
5
Let a = -1 - -27. Suppose -198*y + 609 = -10*y - 707. Calculate the remainder when a is divided by y.
5
Calculate the remainder when (-2 + 3)*((-2768)/(-12))/((-20)/(-30)) is d
|
{
"pile_set_name": "DM Mathematics"
}
|
47. Let c be d(z). Suppose c*s - 580 = 32*s. What are the prime factors of s?
2, 29
Suppose -13036 = -3*s + 5*v, -3*s - 5127 = -3*v - 18165. What are the prime factors of s?
3, 7, 23
Suppose -70 = -2*v - 4. Suppose -5616 = -v*m + 15*m. What are the prime factors of m?
2, 3, 13
Let d(c) = -2*c + c - 39 - 27*c - 3*c. What are the prime factors of d(-4)?
5, 17
Suppose -n - 2*j + 20968 = 0, 41*n - 45*n = j - 83872. What are the prime factors of n?
2, 2621
Let z be ((-12)/8)/((-3)/8). Suppose -2*x = -z*x - 396. List the prime factors of x/(-4) + (-21)/(-14).
3, 17
List the prime factors of ((-1824)/(-60) + -30)/(1/35705).
2, 37, 193
Let s(f) = -47*f + 98 + 6*f - 11 - 4. What are the prime factors of s(-17)?
2, 3, 5, 13
Let v(y) = 7*y**3 - 30*y**2 + 6*y - 6. Let g be v(7). Suppose -213 = -l + 5*s, 5*l - 9*l = 3*s - g. List the prime factors of l.
2, 7, 17
Let h be (875/3)/5*-3. Let n = h + 324. Let w = -30 + n. List the prime factors of w.
7, 17
List the prime factors of (-7 + (-676)/(-28))/((-1)/(-7)).
2, 3, 5
Let w = -1722 - -3452. Let n = w - 1005. What are the prime factors of n?
5, 29
Suppose -199*t + 36612 = -195*t. List the prime factors of t.
3, 113
Let x = -6161 + 11500. What are the prime factors of x?
19, 281
Let j = -28459 + 41357. What are the prime factors of j?
2, 6449
Let c = 82 + -47. Let k = 45 - c. Let x(j) = j**2 - 7. What are the prime factors of x(k)?
3, 31
Suppose -c = 4*v - 29, 5*v + 4*c + c = 55. Suppose v*m - 4*m - r - 825 = 0, m - 4*r - 430 = 0. List the prime factors of m.
2, 5, 41
Let t = 16481 - 9437. List the prime factors of t.
2, 3, 587
Suppose -67*q + 62*q = 150. What are the prime factors of (-12447)/(-15) - (-24)/q?
829
Let z = 1446 - -958. Let w = z - 1202. List the prime factors of w.
2, 601
Suppose -688*t = -683*t + 25, 4*t + 109469 = 3*d. What are the prime factors of d?
3, 12161
Suppose -5*j + 4*j = 0. Suppose -2*n - 13 + 21 = j. Suppose -5*m + 13 = -n*m. List the prime factors of m.
13
Let n = -491 + 350. Suppose 0*k - 4*k = -836. Let m = n + k. What are the prime factors of m?
2, 17
Let a(j) = 13*j**3 - 2*j + 3. Let l be a(1). Let y(b) = 13*b**2 - 11*b - l*b**2 + 6 + 4*b**2. What are the prime factors of y(7)?
2, 19
Suppose -14*r = -13*r, -z = -4*r - 10455. What are the prime factors of z?
3, 5, 17, 41
Suppose r = -5*n + 58, -4*r + 0*n + 3*n = -163. Suppose 3647 - 25964 = -r*b. What are the prime factors of b?
3, 173
Let u be (-112)/(-112) + 7*1. Suppose 9*a - 26 + u = 0. What are the prime factors of a?
2
Suppose 29 = -6*m + 53. Let l(y) = -112*y**3 - 4*y**2 - 2*y + 1. Let a be l(-2). Suppose -a = -m*s - s. List the prime factors of s.
3, 59
Let f(d) = 1714*d + 2171. List the prime factors of f(5).
23, 467
Suppose 0 = 102*f - 68*f - 189346. What are the prime factors of f?
5569
Suppose 3*c - 5*f - 1234 = 0, -2070 = -5*c - 9*f + 4*f. Suppose 4*a = c + 379. Let h = a + -92. What are the prime factors of h?
2, 53
Let r be (-1)/5*(-16 + -9). Suppose 4*p + 2 - 11 = -5*v, r*p = 5*v. What are the prime factors of 2/((-1)/71*(-1)/v)?
2, 71
Suppose 5*z - o = 74898, -16973 - 27952 = -3*z - 4*o. What are the prime factors of z?
3, 4993
Let m be -2774*7/(-42)*3. Suppose -18*p + 1295 = -m. What are the prime factors of p?
149
Let y(s) be the first derivative of -54*s**2 - 119*s - 110. List the prime factors of y(-9).
853
Let h = 256 + -255. List the prime factors of h*1/5 + (-188094)/(-230).
2, 409
Suppose -3*r + 4*n + 72 = -50, -4*n - 20 = 0. Suppose r*p = -2658 + 7350. What are the prime factors of p?
2, 3, 23
Let p(x) = 678*x**2 + 4*x + 3. Let m = -4 + 3. What are the prime factors of p(m)?
677
Let w(s) = -43*s**3 - s**2 + 3*s + 2. Let o be w(2). Let q be 6/4*o/(-51). What are the prime factors of 1152/q - (-2)/(-10)?
5, 23
Suppose -111*y - 266472 = -129*y. What are the prime factors of y?
2, 3701
Suppose 691 + 125 = 6*u. Suppose 7*b - u = -b. List the prime factors of 167 - b - 2*(0 - -1).
2, 37
Suppose 0 = 67*y - 213*y + 1511538. What are the prime factors of y?
3, 7, 17, 29
Let c(b) = -6*b + 66. Let s(g) = g**2 + g + 2. Let m be s(-5). Suppose 0 = -2*o - m - 16. What are the prime factors of c(o)?
2, 3, 5
Let p(g) = -2*g**2 + 1. Let n be p(-2). What are the prime factors of 6*n*(-21)/14?
3, 7
Let o be (10 - 7)/(1 - 149/150). Suppose -5*t + 400 = -o. What are the prime factors of t?
2, 5, 17
Suppose 45 = -q + 47. What are the prime factors of (-17 + -91)*(-3)/q?
2, 3
Suppose -15*t - 161994 + 584529 = 0. What are the prime factors of t?
17, 1657
Let k(x) = 52*x**2 - 20*x + 412. List the prime factors of k(12).
2, 5, 383
Let w = -206 - -625. Let v = 613 - w. What are the prime factors of v?
2, 97
Suppose 5*x + 139*h - 141*h = -9910, x + 1982 = -h. Let o = -982 - x. What are the prime factors of o?
2, 5
Let s = 754 - 381. Suppose 0 = -3*n - 3, 20 = -p - 5*n + s. What are the prime factors of p?
2, 179
Suppose r + 3914 = -2*b, 0*r = 3*r + 2*b + 11754. What are the prime factors of (r/64)/((-2)/16)?
2, 5, 7
Let f(q) = 17*q + 231. Suppose 0 = 5*j - 5*h, h + 0*h = 2*j. What are the prime factors of f(j)?
3, 7, 11
Suppose 36*m + 3*z = 38*m - 9090, -4*m - z = -18166. List the prime factors of m.
2, 3, 757
Suppose 44*x - 10 = 39*x. Suppose 0 = -2*n + n + x. Suppose 0 = 4*y + 2*p + n*p - 208, 4*y - 226 = 2*p. What are the prime factors of y?
5, 11
List the prime factors of (-8 - (696/(-40) - -11))/((-2)/2045).
2, 409
Let j(l) = 96*l + 34. Let x(s) = -s**3 + 4*s**2 + 10*s + 18. Let o be x(6). What are the prime factors of j(o)?
2, 5, 61
Suppose -3*r - 15 = 5*t, -5*t = -5*r - 2*t - 59. Let c(l) = 3*l + 19. Let q be c(r). Let s(g) = g**3 + 12*g**2 + 10*g + 5. List the prime factors of s(q).
2
Suppose 0 = 3*t + 2*k + 420, 3*t = -t - 3*k - 561. Suppose 0 = -3*a + 3*u - 183, 4*a + 0*u = -2*u - 244. Let d = a - t. List the prime factors of d.
7, 11
List the prime factors of 5921 + 8 - (19 + -5).
5, 7, 13
Let j(v) = 360*v**2 - 76*v + 13. List the prime factors of j(-7).
5, 3637
Let m(o) = -5*o**3 + 3*o**2 + 98*o - 3. What are the prime factors of m(-12)?
3, 877
Suppose 2*q + 0*q - 14 = 2*w, 0 = -2*q + 3*w + 13. List the prime factors of (1957/76)/(1/q).
2, 103
Let u(k) = 2*k**2 - 4*k + 5. Suppose 4*y - 12*y = 48. Let j be u(y). Let a = 7 + j. What are the prime factors of a?
2, 3
Let z(q) = q**3 - 75*q**2 + 533*q + 183. What are the prime factors of z(72)?
3, 7669
Let r(l) = -l**3 - 20*l**2 - 4*l + 25. Let q be r(-20). Let n = 45 + q. Let i = n + -42. List the prime factors of i.
2, 3
Suppose u = 209 - 5. List the prime factors of -15*(-7)/84*u.
3, 5, 17
Suppose -j + 30622 = 4*f, -22957 = -6*f + 3*f + 4*j. What are the prime factors of f?
5, 1531
Let z = 29 + -24. Suppose z*x - 2*l + 186 = 0, 2*x - 5*l + 87 = -0*x. Let r = x - -105. What are the prime factors of r?
3, 23
What are the prime factors of 2 - 0 - 0 - (-531860)/28?
11, 157
Let v(b) = 6*b**3 - 60*b**3 - b**2 + 1 + 27*b**3. Suppose -4*l - 6 = -2. List the prime factors of v(l).
3
List the prime factors of 1963/453 - (-84570)/9.
7, 17, 79
Let j(u) = -75 - 160 - 34*u - 39 + 123. What are the prime factors of j(-10)?
3, 7
Let g = -801 + 807. Let n = 1 + 4. Suppose -5*a - n*w + 350 = 0, a - w = -g*w + 66. What are the prime factors of a?
71
Suppose -3*x = 4*v - 39898, -7*v + 66502 = 5*x - 3*v. List the prime factors of x.
2, 3, 739
Suppose 3*g + 422 = 5*r, g - r + 142 = -0*r. Let f = 232 + g. Suppose 5*m = 2*x - f, -2*m = m + 12. List the prime factors of x.
2, 17
Let p = -396 - -1256. What are the prime factors of p?
2, 5, 43
Let w(d) = -12*d**3 + d**2 + 3*d - 2. Let j be w(2). List the prime factors of 0 + 4/(-22) - 2568/j.
29
What are the prime factors of (-1631)/5*(10 + -25)?
3, 7, 233
Let b(h) = -h + 4. Let o(r) = 6*r**3 - 2*r**2 - r + 2. Let k be o(1). Suppose -5*n - 4*i = 28, -k*i - 25 = 3*n + 2*n. List the prime factors of b(n).
2, 3
Let p(u) = 8*u + 4. Let d = 16 + 2. Let t = d + -15. List the prime factors of p(t).
2, 7
Let n(z) be the second derivative of -z**5/60 + 9*z**3 - 23*z**2/2 + 2*z. Let h(x) be the first derivative of n(x). What are the prime factors of h(0)?
2, 3
Suppose -3*m = 2 - 14. Let o(g) = g**2 + 26*g - 12. Let h be o(-19). List the prime factors of (-4 - -4) + m - h.
149
Suppose -3*j + 21 = 3*m, -m = -3*m + 5*j - 21. Suppose 0 = -3*y - 4*p + 18
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5. Let m be 18/r*(-2)/(-4). Suppose -k = -m*k + 2. What is the remainder when k is divided by 1?
0
Let w = 87 + -49. Calculate the remainder when w is divided by 13.
12
Let v(j) = j**2 + 4*j + 6. Let w be v(-5). Suppose 5*r = 4*r + w. Let i = -7 - -11. What is the remainder when r is divided by i?
3
Let n(p) = 3*p**2 + p. Let h be n(-1). Calculate the remainder when 24 + 0 + h + -1 is divided by 14.
11
Suppose 0 = 2*t - 6 - 0. Let o = t + 6. Calculate the remainder when 26 is divided by o.
8
Suppose -470 = -12*t + 1210. What is the remainder when t is divided by 18?
14
Let w = 28 + -15. Calculate the remainder when 251/5 + -1*3/15 is divided by w.
11
Let f be ((-12)/16)/((-2)/8). Suppose -n = 4*r - f*r - 12, 0 = 3*n + 5*r - 38. Calculate the remainder when n is divided by 4.
3
Suppose -26 = -v + 4. Let u = 9 - -2. What is the remainder when v is divided by u?
8
Suppose 4*s - 349 = -49. Suppose -2*h = -5*a - 62, 2*h - a - 96 + 26 = 0. Let y = s - h. What is the remainder when y is divided by 14?
11
What is the remainder when 9/(-2)*(0 - 10) is divided by 12?
9
Calculate the remainder when 2/(4/2)*37 is divided by 19.
18
Suppose -188 = -7*h - 48. Calculate the remainder when 37 is divided by h.
17
Suppose -2*b = -64 + 40. What is the remainder when b is divided by 5?
2
Suppose -36 = -30*y + 21*y. Calculate the remainder when 6 is divided by y.
2
Suppose 4*t = 31 + 33. Let d = t - 11. Calculate the remainder when d is divided by 2.
1
Suppose 2*o - 3 - 35 = 0. What is the remainder when 73 is divided by o?
16
Let p = 27 - -20. Let g(b) = -b**3 - b**2 + b + 1. Calculate the remainder when p is divided by g(-3).
15
Let w be -2 + 9 + (0 - -1). Suppose 5*h - 3*h = w. Suppose 0*l - 108 = -3*l + 3*a, l + h*a - 61 = 0. What is the remainder when l is divided by 21?
20
Suppose 3*a = -2*a + 40. Suppose 3*p = 4*p - 15. What is the remainder when p is divided by a?
7
Let r = -8 - -12. Calculate the remainder when 5 is divided by r.
1
Let d(x) = -x + 14. Suppose 0*v - 8 = -2*v, -32 = -j - 5*v. What is the remainder when j is divided by d(7)?
5
Suppose 3*o = -q + 8, 0 = 4*o - o - q - 10. Suppose -12 = -4*v, -2*v = o*m - 3*v - 15. Calculate the remainder when 15 is divided by m.
3
Let r(x) = 4*x - 10*x - 4 - 3*x**2 + 2*x**3 - x**3. What is the remainder when 62 is divided by r(5)?
14
Calculate the remainder when ((-18)/(-7))/(6/28) is divided by 3.
0
Suppose 3*j + 15 = 207. Let f = -10 + 16. Calculate the remainder when (j/80)/((-2)/(-55)) is divided by f.
4
What is the remainder when 18 is divided by ((-14)/21)/((-1)/18)?
6
Suppose 0*w = -4*w + 16. Suppose -o + 2*n + 18 = 0, -n - n = -w*o + 66. Let h = 7 + -1. What is the remainder when o is divided by h?
4
Let v be 8/(-6)*(-9)/6. What is the remainder when 52*(-2)/(-8)*v is divided by 9?
8
Let r(t) = 18*t**2 + t + 1. Suppose 0 = -2*a - a - 15, -2*a = -3*v + 7. Calculate the remainder when 13/(v*3/(-12)) is divided by r(-1).
16
Let c = 16 - 14. What is the remainder when 2 is divided by c?
0
Suppose 0*t + 2*t - 26 = 0. Suppose -196 = -4*x - 5*j, 4*j - 71 = 5*x - 316. Calculate the remainder when x is divided by t.
10
Suppose -2*a + 3 = 4*w - 13, a - 2 = 4*w. What is the remainder when 11 is divided by a?
5
Suppose 79 = 2*g - 13. Let u = g - 28. Calculate the remainder when u is divided by 10.
8
What is the remainder when 385/15 + (-2)/(-6) is divided by 7?
5
Suppose 86 = 8*n - 4*n - z, 5*z = -n + 11. Calculate the remainder when n is divided by 12.
9
Let g(u) = -8*u**2 + 7 - u**3 - 2*u + 0*u + 0*u**3. Suppose 2*z + 4*q + 28 = 0, -4*z + q = 22 + 7. What is the remainder when g(z) is divided by 13?
10
Let u(v) = 2*v + 6. Calculate the remainder when 46 is divided by u(5).
14
Suppose w - 5*q - 42 = 0, -4*q = 4*w + q - 143. Let i(a) = -a**2 - 9*a + 2. What is the remainder when w is divided by i(-8)?
7
Suppose -3*n - 2*q = -0*n - 4, 5*q = 10. Suppose -2*l + 6 = 4*t - 4, n = 4*t + l - 13. What is the remainder when (t/6)/(1/6) is divided by 3?
1
Let m = -3 - -4. Suppose k - d + m = 0, 16 = -0*d + 4*d. Suppose -2*v = 3*v + k*g, -3 = 4*v + 3*g. Calculate the remainder when 9 is divided by v.
0
Suppose -348 = -5*z - 133. What is the remainder when z is divided by 15?
13
Let n be (20/(-6))/(4/(-6)). Let w be (-2)/(-5) + 18/n. Calculate the remainder when 41 is divided by (w/3)/((-2)/(-21)).
13
Suppose -14*g + 13*g + 17 = 0. Suppose 2*v + 4*q - 36 = 0, -q = -4*v - 2*q + 93. Let b = v - g. What is the remainder when 20 is divided by b?
6
Let v(b) = -22*b + 4. Let m(z) = z**2 - 3*z + 2. What is the remainder when v(0) is divided by m(3)?
0
Suppose -6*m - 8 = 2*p - 3*m, 0 = -p + 5*m + 22. Suppose 0*y - 4 = -p*y. Calculate the remainder when 2 is divided by y.
0
Let m = 5 - -15. Calculate the remainder when 37 is divided by m.
17
Suppose -6*t + 4*c = -3*t - 12, -2*c - 6 = 2*t. What is the remainder when (3 + (-1 - t))*1 is divided by 2 + (-3 - 2/(-1))?
0
Let l(p) = 4*p. Let z be l(4). Suppose -z = -3*b - b. Calculate the remainder when 11 is divided by b/(-24) + (-43)/(-6).
4
Suppose 0 = 2*a - b - 29, a - 2*b = 4*a - 40. Calculate the remainder when 5*-1*(-5 + -3) is divided by a.
12
Let g be (0/(-1))/(2 - 0). Suppose g*w + 22 = 2*w. Suppose 0 = -2*x + 6 + 34. Calculate the remainder when x is divided by w.
9
Let a be 3 + (0 + -2)*-1. Let g = 35 + -12. Suppose -w + g = a. Calculate the remainder when 53 is divided by w.
17
Let v(a) = 25*a**2 - a + 1. What is the remainder when v(1) is divided by (-1)/4 + (-74)/(-8)?
7
Suppose -7*b = -2*b - 260. What is the remainder when b is divided by 18?
16
Let o(p) = -3*p**2 + p + 6*p**2 - 5*p**2 + p**3 - 4. Let v be o(3). Suppose -5*c + 38 = -b, 4*c - 3*b - 18 = v. What is the remainder when 22 is divided by c?
6
Let o(p) = p**3 - 9*p**2 + 8*p. Let d be o(11). What is the remainder when 41 is divided by d/24 - 1/(-4)?
13
Let s(q) = 5*q**2 - 3*q + 1. Let c be s(2). Suppose -2*g - 36 = -0*g. What is the remainder when 25 is divided by g/(-15)*c/2?
7
Suppose -t + 24 = 2*g, -4*t - 4*g = -7*t + 42. Suppose u = -5*r + 40 + 20, 94 = 2*u - 3*r. Calculate the remainder when u is divided by t.
14
Let u(c) = -c**3 - 5*c**2 - c. Let m be u(-4). Let o = -2 - m. Let a = 9 + 10. Calculate the remainder when a is divided by o.
9
Let w = -92 + 109. What is the remainder when 47 is divided by w?
13
Suppose 5*s + 5*w - 40 = 0, -28 = -s - 4*s - 2*w. Suppose k = -q + 17, s*k + 0*q + 3*q = 67. Calculate the remainder when k is divided by 6.
4
Let x(s) = -1 - 17*s + 9*s**2 - 16 - 10*s**2. Calculate the remainder when x(-14) is divided by 14.
11
Let u(k) = 4*k**3 + 8*k**2 - 6*k - 5. Let t(s) = -3*s**3 - 7*s**2 + 5*s + 4. Let r(i) = 3*t(i) + 2*u(i). What is the remainder when r(-6) is divided by 7?
6
Suppose -5*r - 22 + 257 = 0. Calculate the remainder when r is divided by 17.
13
Suppose -2*u + 2*k + 30 = 0, 0*u - 45 = -5*u - 5*k. Calculate the remainder when 21 is divided by u.
9
Suppose -3*y - 68 = -7*y. Let z = y + -12. What is the remainder when 8 is divided by z?
3
Suppose -5*f = h - 34, -3*h = -2*h + 4*f - 30. What is the remainder when 55 is divided by h?
13
Let x(k) = k**3 - 9*k**2 + 9*k + 8. What is the remainder when 44 is divided by x(8)?
12
Suppose -3*s + 5*s = 16. Calculate the remainder when s is divided by 5.
3
Let q(m) = -m - 5. Let l be q(-8). What is the remainder when (1 - -1*11) + -1 is divided by 2 - 4/l*-3?
5
Suppose 0 = 5*m - 3*x - 7, m + 4*x + 3 - 9 = 0. Suppose -5*q - 4*o + 3*o + 20 = 0, -o = -q - m. What is the remainder when 28 is divided by (q/(-4))/(5/(-100))?
13
Let f(r) = r + 11. Let a be f(-9). Suppose 6 = -a*h + 18. What is the remainder when 9 is divided by h?
3
Suppose 2*f = m - 12, -2*m + 6*m - 2*f = 42. Let t = -142 - -56. What is the remainder when (-1)/(-3) - t/3 is divided by m?
9
Let s(h) = 2 + 2 - 1 - 7 + 4*h + h**2. What is the remainder when 1 is divided by s(-5)?
0
Suppose 0 = j - 16 - 42. Suppose -3*p + 69 = -3*u, -4*p = -2*u - j - 42. What is the remainder when p is divided by 14?
13
Let i(o) be the first derivative of -3*o + 5/2*o**2 - 2. Calculate the remainder when i(2) is divided by 4.
3
Let j(g) = 3*g**2 - 7*g - 2. Let y be j(5). Suppose 0*x - 2*x = -y. What is the remainder when 36 is divided by x?
17
Suppose 3*o - 230 = o + 3*b, o = 2*b + 116. Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -36*b = -k*b. Determine f(b).
9
Let n(b) = -4*b - 3. Suppose 266 = -3*d - 5*z, -5*d - 354 - 156 = -5*z. Let w = 56 - 151. Let i = d - w. What is n(i)?
5
Let t be (24/18)/(2/6). Let b be (-1)/(-2)*3*546/63. Let z(p) = -4 - b*p**2 + 26*p**2 - 3*p - 12*p**2. Determine z(t).
0
Let j(x) = 8*x - 2*x**2 + 16 - x**3 - 34 + 2*x + 14 + 11. Calculate j(-4).
-1
Suppose 3*y + 14*o + 28 = 16*o, -2*y = -2*o + 22. Let k = 3 + 0. Let j(x) = x**k - 2*x**3 + 2*x**3 - 6 + 6*x**2. Calculate j(y).
-6
Let y(w) be the first derivative of 3*w**2/2 + 2*w + 266. What is y(4)?
14
Let i(p) = 25 - 6*p - 10 + p**2 - 53. Calculate i(8).
-22
Let k(g) = 29771 + 34*g + 2*g**2 - 59563 + 29766. Determine k(-18).
10
Let v(j) be the third derivative of -j**5/30 + 29*j**4/24 + 7*j**3/6 + 715*j**2. Calculate v(15).
-8
Let q = -565 - -564. Let a(b) = 2*b**3 + 2*b**2 + 15*b + 13. Let p be a(q). Let m(o) = -11*o - 2. Give m(p).
20
Let t(f) = -6*f**2 - 9*f**2 + 4*f**2 + 4*f + 0*f**2 + 1 - 5. Determine t(2).
-40
Let h(f) = 5*f + 24. Let w be h(-5). Let m(k) be the third derivative of 3*k**6/10 - k**5/60 + k**3/6 + 135*k**2. What is m(w)?
-36
Let w(m) = -m**3 - 20*m**2 - 43*m - 26. Let s be w(-16). Let o = 359 + s. Let v(a) = 4*a + 5. What is v(o)?
-7
Suppose 0 = -6*s + 2*s + 24. Let n(a) be the second derivative of a**4/12 - 2*a**3/3 - 3*a**2 + a. Give n(s).
6
Let l(h) = -6*h**2 - h + 1. Let o(b) = -13*b**2 + 3*b + 19. Let z(p) = 2*l(p) - o(p). Determine z(-5).
33
Let v(m) = 130*m + 2068. Let t be v(-16). Let q(w) = -w**2 - 6*w + 53. What is q(t)?
-19
Let m(u) = -54*u**3 + 28*u**3 - 3*u**2 - 38*u - 25 - 4*u**2 + 28*u**3. Let f(s) = -s**3 + 3*s**2 + 20*s + 13. Let d(j) = -5*f(j) - 3*m(j). Calculate d(8).
-6
Suppose -259*p = -260*p + 808. Let w = p + -804. Let r(o) = -o**3 + 6*o**2 - 10*o. What is r(w)?
-8
Let u be 28/(-49) + 1313/(-91). Let c(p) = p**3 + 14*p**2 - 11*p + 31. Give c(u).
-29
Let x be 5 + 2 + (2 - (2 - 1)). Let z(g) = -x*g + 7 + 1 + 2*g**2 + 0*g**3 + 6*g**2 - g**3. What is z(7)?
1
Let g(f) = -f**2 - f - 2. Suppose 4*q = -4*t + 4, -42*q - 3*t + 15 = -45*q. Calculate g(q).
-4
Suppose 3*d - 3 = 0, 3*q + 7 = 5*d + 29. Let m be ((-51)/9)/(((-9)/3)/q). Let z(c) = -4*c - 7*c**2 + m*c**2 - 11*c**2. Calculate z(-5).
-5
Let b be (5/2)/(10/20). Let y = 57 + -55. Let x(v) = 5 + 10*v**y + 0*v - 16*v**2 + v**3 + 2*v + 1. What is x(b)?
-9
Let k(r) be the second derivative of 11*r**3/6 + 19*r**2/2 - 48*r. Let p(t) = 4*t + 6. Let o(n) = -3*k(n) + 8*p(n). Determine o(-7).
-2
Let j = -4392 - -4425. Let k(s) = -4*s + 125. What is k(j)?
-7
Suppose -2*y = -6, 3*y = -5*g + 2*g + 3. Let v(i) = 4*i**2 + 6. Let a(o) = -o**2 - 1. Suppose 10*f = -142 + 22. Let z(c) = f*a(c) - 2*v(c). Calculate z(g).
16
Let g(a) = -a**2 - 5*a - 5. Let t be (16 - 13) + ((-1)/(-1) - 2). Let m be -12 + 13 + (t - 9). What is g(m)?
-11
Let c(w) = 4*w**3 - 6*w**2 - 2*w + 4. Let v(x) = 5*x**3 - 5*x**2 - 2*x + 4. Suppose 5*b + 5*r = 7*b + 6, 3*r = b + 3. Let i(l) = b*v(l) + 4*c(l). What is i(9)?
-14
Let g(i) be the third derivative of -83*i**2 + 0 + 0*i - 1/60*i**5 + 5/3*i**3 - 1/120*i**6 + 0*i**4. What is g(0)?
10
Let d(i) = 21*i**2 - 17*i. Let k(q) be the third derivative of -11*q**5/60 + 5*q**4/12 + 3*q**2. Let n(z) = 3*d(z) + 5*k(z). Calculate n(1).
7
Let v(p) = 4*p + 9. Let u be (8/(-8))/(((-12)/6)/6). Give v(u).
21
Let c(l) = l**2 + 14*l + 13. Let r be c(-13). Let f(g) = -g**2 - g**2 - g + g**3 + 7*g**2 + r*g**3 - 3 - 2*g**3. Determine f(5).
-8
Let r(x) = -4*x - 1. Let l(w) = 4*w + 83. Let z be l(-29). Let v = z - -32. Determine r(v).
3
Let t(n) = -3*n + 4*n + 0*n + 3*n + 2. Let p = -3417 - -3413. Calculate t(p).
-14
Let h(k) = k + 5. Suppose -12 = 6*a - 9*a. Suppose -4*p - 1 = -4*r - 5, 4*r + 4 = -a*p. Calculate h(p).
5
Let k(v) be the first derivative of 0*v + 1/120*v**5 - v**3 - 9 + 0*v**2 + 5/8*v**4. Let o(t) be the third derivative of k(t). Give o(-8).
7
Let j(z) = z**2 - 4*z + 6. Let m be j(2). Suppose -2*y - 26 = -5*g, 3*g + m*y + 2*y = 26. Let u(v) = 18 - 7 + v**2 - 7*v - 16 + 0*v**2. Determine u(g).
-11
Let b(k) = -2*k**2 + 12*k - 17. Suppose -5 = -4*h - 19*o + 14*o, 2*h + 2 = -4*o. Determine b(h).
-7
Suppose 4*u - 4*f = 0, 5*u + 0*f = 4*f + 4. Let z be u/10 + 230/50. Let r(x) = x**2 + z + x + x - 8*x - 2*x**2. Calculate r(-7).
-2
Let f(j) be the second derivative of -j - 3/2*j**3 + 0 + 1/12*j**4 - 2*j**2. Suppose -35664*z = n - 35661*z - 66, 4*n - 2*z + 2 = 0. Give f(n).
-4
Suppose 0 = -10*o + 4*i - 3*i - 29, 2*i = -2. Let s(d) = 20*d + 50. What is s(o)?
-10
Let j(h) be the first derivative of -7*h**4/24 - h**3/2 + 49*h**2/2 - 59. Let l(g) be the second derivative of j(g). Determine l(-2).
11
Let n(o) = o**2 - 7*o + 5. Let x(v) be the second derivative of -v**4/6 + 41*v**3/6 - 7*v**2 + 89*v. Let u be x(20). Calculate n(u).
-1
Let m(f) be the first derivative of -f**3/3 - 33*f**2/2 - 252*f - 1642. Calculate m(-20).
8
Let b(h) = 2*h**2 + h - 1. Suppose 163*u - 168*u = 75. Let z be (18 + u)*1/3 - -1. Give b(z).
9
Let u be 2/(-13) + (-9)/(936/(-16)). Suppose 4*c - 5*g + 24 = u, -5*c = -c + g + 48. Let n(p) = -p**3 - 12*p**2 - 9*p + 27. Calculate n(c).
5
Let b(i) = -11*i**3 - 10*i**2 - 16*i + 17. Let l(u) = -4*u**3 - u. Let v(y) = -b(y) + 3*l(y). Calculate v(11).
5
Let z(m) = -5*m**2 - 2*m - 474 + 477 + 6*m**3 - 5*m**3. Suppose 10 = 5*p - 10. Let l(x) = -x**3 + 5*x**2 + 2*x - 2. Let n(k) = p*l(k) + 5*z(k). What is n(5)?
-3
Let b(s) = -126*s**2 + 2*s - 39. Let a(g) = -128*g**2 + 4*g - 27. Let d(m) = 4*a(m) - 3*b(m). Give d(-1).
-135
Suppose -43*b + 7*b + 3253 = 1561. Let y(o) = o**3 - 47*o**2 - 6*o + 280. Determine y(b).
-2
Let z(l) = l**2 + 14*l + 7. Let h(r) = 12*r**3 + 74*r**2 + 14*r + 6. Let u be h(-6). What is z(u)?
-41
Suppose -q = -2*q - 2, -2*i - 4*q = -14. Let t(g) = -g + 13. Let s be t(i). Let p(n) = -2*n**2 + 2. Calculate p(s).
-6
Let n(o) be the third derivative of -13*o**4/24 - 63*o**3/2 - 86*o**2 - 2. Calculate n(-14).
-7
Suppose 3*k = 5 + 1, 23 = 3*a - 2*k. Let z(i) be the first derivative of -i**4/4 + 8*i**3/3 + 6*i**2 - 13*i + 106. Calculate z(a).
14
Let g be (-3)/((-69)/(-30) + -2). Let d(l) be the third derivative of -l**5/60 - l**4/3 + 7*l**3/3 + 175*l**2 - l + 1. Give d(g).
-6
Let v(k) = 3*k**3 + 15*k**2 - k - 5. Let j(m) = -4*m**3 - 13*m**2 + 2*m + 6. Let f(z) = 2*j(z) + 3*v(z). Calculate f(-19).
-22
Let c(z) be the first derivative of -z**4/2 - z**3/3 + z**2/2 - 97*z - 1546. Calculate c(0).
-97
Let b be ((-201)/469 - (-123)/(-7))/(-2). Let o(w) be the third derivative of 1/8*w**4 + 0 + 1/6*w**3 + 0*w - b*w**2. Calculate o(-1).
-2
Let w(z) be the first derivative of 2/3*z**3 + 69 - 1/4*z**4 - z**2 + z. Determine w(1).
0
Let g be (12/10)/(9/(-30)). Let o = -13 + 15. Let a(d) = 0*d**o - 3*d**3 + 3 - 5*d**2 + 2*d**3. What is a(g)?
-13
Let u(l) be the second derivative of -l**5/20 - 2*l**4/3 - l**3 + 4*l**2 + 55*l. Determine u(-7).
1
Let b(a) = a + 10. Let z be b(-6). Let t(m) = -m. Let n(h) = -44 - h**3 + 95 + 4*h**2 - 3*h - 48. Let s(i) = -n(i) + 2*t(i). What is s(z)?
1
Let t(x) = -28*x + 32. Let z(c) = -47*c + 63. Let v(u) = -5*t(u) + 3*z(u). Determine v(27).
2
Let p(d) = d**2 + 10*d - 30. Let g(c) = c**2 + 11*c - 31. Let m(o) = 3*g(o) - 4*p(o). Give m(-11).
-17
Let m(v) be the first derivative of -2*v**3/3 - 9*v**2/2 - 14*v + 601. Give m(-5).
-19
Let y(s) = -35*s - 3. Let i(v) = 3*v**2 - 38*v - 337. Let l be i(-6). Calculate y(l).
32
Let d(p) = -2*p + 4. Let t(b) = -3*b + 8. Let w(j) = -5*d(j) + 3*t(j). Let n(y) = y + 3. Let l(r) = 4*n(r) - 3*w(r). Suppose 14 - 46 = 8*g. Give l(g).
-4
Suppose -188*n = -373*n - 1665. Let a(j) = 6*j + 67. Give a(n).
13
Let n(t) = -36*t - 5. Let o be 11/13 + -1 + 234/1521. Give n(o).
-5
Let n(v) be the third derivative of v**6/120 - v**5/15 + v**4/24 + 5*v**3/3 + 6*v**2 - 8. What is n(-2)?
-16
Let l(u) be the second derivative of -u**5/20 + 11*u**4/4 + 35*u**3/3 + 3*u**2 - 263*u. What is l(35)?
6
Let m(x) = -x**3 - 37*x**2 + 37*x - 34. Let w(a) = 68*a + 1050. Let r be w(-16). What is m(r)?
4
Suppose -6*j + 597 = 579. Suppose 2*f + 4*b + j = -7, -4*f - 20 = -b. Let n(g) = g + 13. Give n(f).
8
Let o(t) = -t**3 - 9*t**2 + 6*t - 25. Suppose -18*j - 9*q = -21*j - 99, -42 = 2*j - 3*q. What is o(j)?
-79
Suppose 8 = 4*y, -2*d - 4*y = y - 6. Let z be ((-5)/(9 - 4)
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) 0.008 (c) 1 (d) -1 (e) 131 (f) -2
e
What is the third biggest value in -4/17, -3.5, -0.5, 283, 2, -2/7?
-4/17
What is the third smallest value in -12, 1/8, -1/562, -1/5, 1/4, 36?
-1/562
Which is the third smallest value? (a) -2.787 (b) -5 (c) 1/11 (d) 0 (e) 0.09
d
What is the third biggest value in -1, -5/2, -2, -1/2, 1772/173?
-1
What is the second smallest value in -12/11, -8, 609, -0.6?
-12/11
Which is the second biggest value? (a) 45 (b) 1.38 (c) -2 (d) 98
a
Which is the third biggest value? (a) -1.102 (b) -0.2 (c) 3/8 (d) 2 (e) -0.0192
e
Which is the third biggest value? (a) 0.2 (b) 8 (c) 145 (d) 22
b
Which is the fourth biggest value? (a) 6 (b) 0.3 (c) 18 (d) -63 (e) -14
e
What is the third smallest value in 2, -6, -18041/3, -4/7, -0.5?
-4/7
Which is the biggest value? (a) 0.1 (b) 4 (c) 1/46 (d) -0.5 (e) 2/5 (f) -132
b
Which is the smallest value? (a) 73 (b) -4/5 (c) 474465
b
What is the third smallest value in 2, 7, 15/2, 215?
15/2
Which is the fifth biggest value? (a) -3/5 (b) -1/4 (c) -32 (d) -18.02 (e) -73
e
Which is the second biggest value? (a) -75 (b) -0.18 (c) -1.7 (d) -3 (e) -9
c
Which is the third smallest value? (a) 0.3 (b) -2877709 (c) 1
c
What is the second biggest value in 1, -5, 2.5216503?
1
Which is the seventh biggest value? (a) -2/15 (b) -832.6 (c) 3/2 (d) 5 (e) -3/5 (f) -3 (g) -3/160
b
What is the third biggest value in -5, 3618, -228?
-228
What is the smallest value in 0.281, 360/11, 29?
0.281
Which is the fourth smallest value? (a) -0.01 (b) -5 (c) -7.8061 (d) 0.3 (e) -3
a
What is the fourth biggest value in -8/45, 135761, 0.4, 5?
-8/45
Which is the third biggest value? (a) 0.2 (b) -4/7 (c) 76 (d) -178.59
b
What is the biggest value in 2/3, -11034, 2, -1, 2/15, -18?
2
What is the second biggest value in 6/347, 216, 0.2, -2.02?
0.2
What is the biggest value in -4, 4, -259, 25/62?
4
Which is the third smallest value? (a) -1/5 (b) 4/5 (c) 0.3 (d) 3/8 (e) 33290
d
Which is the second smallest value? (a) 4 (b) 5/7 (c) 266 (d) 2/49
b
What is the fourth biggest value in -2, 2, 8, -0.02629, 0.4, -5?
-0.02629
What is the biggest value in 0.5, 3, -2, 0, 1/562?
3
Which is the second smallest value? (a) -1/3 (b) 31/23 (c) -21 (d) 5 (e) 8
a
What is the fourth biggest value in -0.5, -26055, -1, 2/13, 26/33?
-1
What is the third smallest value in 2/9, -396, 2, 118, 15/7, -2/13?
2/9
Which is the biggest value? (a) -3/7 (b) 1/2598 (c) -34
b
Which is the sixth biggest value? (a) 5 (b) -0.1 (c) -1/6 (d) -0.2 (e) 2/7 (f) 70506
d
What is the biggest value in 0.2, -0.06, 182/4755?
0.2
Which is the second biggest value? (a) -262597 (b) -5 (c) -4 (d) -0.3 (e) -1 (f) -2
e
Which is the smallest value? (a) -4 (b) 1/6 (c) -5401 (d) -2.44
c
What is the fourth smallest value in -5/2, 1/9, 352381, -29?
352381
What is the second biggest value in -2/45, -16.62, -10, 2/17?
-2/45
What is the second smallest value in -53/25, -167, -2/3, 1/4?
-53/25
What is the smallest value in -0.5, 16, -300810?
-300810
Which is the third biggest value? (a) -453/1312 (b) -0.2 (c) -3
c
Which is the third biggest value? (a) 3 (b) 1/10 (c) -3 (d) 0.04 (e) 0.06 (f) 0.058 (g) 122
b
Which is the third biggest value? (a) -25.206 (b) 1 (c) -1073
c
Which is the biggest value? (a) -2/35 (b) -237/14 (c) 0.4 (d) 2/9 (e) 0.2
c
Which is the second biggest value? (a) -5 (b) -9 (c) 64551
a
Which is the smallest value? (a) -9.394 (b) -0.3 (c) 0.27 (d) 6
a
What is the third smallest value in 0.1, 5, -1/3, 436, 2/2001?
0.1
Which is the smallest value? (a) 2 (b) -4 (c) 2.98 (d) 0.14 (e) -1/2
b
What is the third smallest value in 5, 1/2, -189, 0.4, 1, 0.0689, 4?
0.4
Which is the second smallest value? (a) -10 (b) -1/5 (c) -0.01 (d) 4 (e) 10/53 (f) 16
b
What is the third smallest value in 1794, -699, -2/11?
1794
Which is the smallest value? (a) -59 (b) 4/3 (c) 2 (d) -0.247 (e) 11.6
a
What is the third biggest value in -0.2, -4329371.8, 3/5?
-4329371.8
What is the second biggest value in 0.1, 1067, -0.04, 3, 11, -1/2?
11
What is the third smallest value in 0.5, 0.0251, 122574?
122574
What is the seventh biggest value in -0.1, 0.54, 2/3, 27, 274, 1/6, -3?
-3
What is the third smallest value in 0.2, 3/4, -155/6, 0.3, -26, -159?
-155/6
What is the fifth smallest value in -5, -113311, -2, -3, 1, -2/3, -1?
-1
What is the third smallest value in -2.8, 1, -14988, 0.1?
0.1
Which is the fifth smallest value? (a) -12 (b) 2 (c) -5 (d) 7/4 (e) 11 (f) -2/17 (g) 2/5
d
Which is the fourth smallest value? (a) 0.09 (b) 48 (c) -4 (d) -0.3 (e) 472
b
What is the smallest value in 377, 5.1, -1.13?
-1.13
Which is the third smallest value? (a) -31265 (b) 3 (c) -1/8 (d) -0.22
c
Which is the third smallest value? (a) -391 (b) -1.4 (c) -0.06351
c
Which is the second smallest value? (a) 18 (b) 0.07 (c) -1/4 (d) -26 (e) 906/11
c
Which is the fourth biggest value? (a) -240 (b) -1 (c) -1434 (d) 273
c
What is the fourth biggest value in -0.3, -1640, -1/2, -4, 0.6?
-4
Which is the second biggest value? (a) 0.3 (b) -433 (c) 39/10 (d) 1
d
Which is the smallest value? (a) -0.4 (b) -3/5 (c) 4 (d) 85/43 (e) -995
e
What is the second smallest value in 196, 1/868, 13?
13
Which is the second smallest value? (a) 0 (b) 5 (c) -0.0615 (d) -10040
c
Which is the smallest value? (a) 1509 (b) -2/3 (c) -3/5 (d) 0 (e) -161 (f) -3
e
What is the second smallest value in -21, 3, 16/7, -0.5, -0.2, 1, -4/15?
-0.5
What is the second biggest value in 0.022737, -2/17, -0.06?
-0.06
Which is the biggest value? (a) 19/25230 (b) 1/6 (c) -0.037
b
What is the smallest value in 19, 1/4, -82, 1/63, 5?
-82
Which is the biggest value? (a) -13/9 (b) -37 (c) 2/17755
c
What is the smallest value in -44, 88/3, -1, 0.3, -5?
-44
What is the smallest value in -4, 2588, -5, -3.3?
-5
What is the fourth biggest value in 2, -0.1, 12, 0.4, 2207, 0?
0.4
Which is the biggest value? (a) 97 (b) -108738 (c) 1
a
What is the second biggest value in -3/7, 6, -7, -1/4, -0.2, -3283, -3/5?
-0.2
What is the second smallest value in -0.1, -317, 13, -1, -4/7?
-1
What is the second smallest value in -11/29, -2.74, -0.3?
-11/29
What is the second biggest value in 0.539, 2, -0.1, -10, 2139?
2
Which is the third biggest value? (a) 0 (b) -12/5 (c) 0.02 (d) -2/11 (e) -5 (f) 0.39
a
What is the second smallest value in -0.8, -0.2, -0.4, 2/15, 30/23?
-0.4
What is the smallest value in -9, -0.6, -1/20, -76, 1.33?
-76
What is the fifth smallest value in 0.4, -1/5, 20, 2/219, -111?
20
Which is the second biggest value? (a) -0.3 (b) -1 (c) -28 (d) -151998
b
Which is the second biggest value? (a) 15.1 (b) -1155.7 (c) -0.5
c
What is the smallest value in -4/5, -25, 0, 497.41?
-25
What is the fourth biggest value in -0.02, -0.1, 0.1, 475/7, 0?
-0.02
Which is the second smallest value? (a) -1 (b) -5 (c) -127459
b
What is the second biggest value in 1, -1390, 4, 3/2, 0.3?
3/2
Which is the third biggest value? (a) -104 (b) -3 (c) 1/4 (d) 1/3 (e) -2 (f) -800
e
Which is the second smallest value? (a) 9 (b) -0.5 (c) 271/2 (d) -85
b
Which is the third biggest value? (a) 22/7 (b) 0.103 (c) -1 (d) 3 (e) 1 (f) 54
d
What is the second smallest value in -3/118, 0.4, -2000?
-3/118
What is the second biggest value in 0.03, -213087, -0.07, -0.3?
-0.07
Which is the second biggest value? (a) -1/8 (b) -1 (c) 0.27445 (d) -5 (e) -7 (f) 5
c
Which is the sixth biggest value? (a) 16 (b) 0 (c) 2 (d) -29 (e) 3311 (f) -1 (g) -0.2
f
What is the fourth biggest value in 0.11947, -1/8, -1, 1.6, -3?
-1
What is the fourth smallest value in 5, 1/4, -0.3, 0.3, -22.8619, 0, -1/3?
0
Which is the biggest value? (a) 8/31 (b) 15 (c) -11 (d) -3/4 (e) -0.5 (f) -1
b
What is the smallest value in -8, 0.5, -1/51, -11, -1/2, 3/17?
-11
Which is the second biggest value? (a) -0.3 (b) 921 (c) 0.29263
c
What is the fourth biggest value in -2, 0.5, -14, 163, -13?
-13
Which is the smallest value? (a) -1 (b) 12/5 (c) 5 (d) 3 (e) 29876 (f) -2/3
a
What is the second biggest value in 0, -1539, -3, -530/3?
-3
What is the sixth smallest value in 0, 0.4, -5/7, -0.1, -5, 0.63, 3.15?
0.63
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
t d(p) = 4*p**2 + 3*p + 4. Let n be 4 - (-82 + 2)/(-4). Let y be 1*(-12)/n*-4. Let k(u) = -5*u**2 - 4*u - 5. Calculate y*k(l) - 4*d(l).
-l**2 - 1
Let v = 208 + -209. Let m(q) = 7*q - 4. Let x(g) = -g + 1. Give v*m(b) - 5*x(b).
-2*b - 1
Let k(o) = -6*o - 17. Let b(t) = -2*t + 6. Let m(r) be the first derivative of -r**2/2 + 6*r - 4. Let c(v) = 3*b(v) - 4*m(v). What is 17*c(q) - 6*k(q)?
2*q
Let s(m) = m - 1. Let x(z) = 4*z - 30. Let n be x(9). Let t(g) = 2*g - 4. Calculate n*s(i) - 2*t(i).
2*i + 2
Let r(t) = -t**2 + t - 1. Let a(u) be the first derivative of u - u**2 + 3 + 1/3*u**3 + 1/2*u**4. Calculate a(z) + r(z).
2*z**3 - z
Let p(o) = -o + 1. Let b(u) = 2*u - 24. Calculate b(d) + 3*p(d).
-d - 21
Let m(o) = o**2. Let k(h) = 16*h**2 + h - 3. Calculate k(p) - 6*m(p).
10*p**2 + p - 3
Let c(n) = 10*n**3 + 11*n**2 - 6*n - 11. Let t(d) be the first derivative of -2/3*d**3 - 1/2*d**4 + 2*d + 1/2*d**2 - 2. Calculate 2*c(h) + 11*t(h).
-2*h**3 - h
Let h(u) = 1. Let g(v) = v - 2. Let b be (4/8)/(2/4) - 4. Give b*g(c) - 5*h(c).
-3*c + 1
Let r(b) = 19*b**2 - 6*b - 6. Let a(d) = 19*d**2 - 7*d - 7. Give -6*a(y) + 7*r(y).
19*y**2
Let x(i) = 2*i - 6. Let q(y) = y - 1. Suppose 2*w + 4 - 2 = 0. Determine w*x(n) + 4*q(n).
2*n + 2
Let t(o) = 22*o + 1 - 8 + 19*o - 34*o. Let l(w) = 3*w - 3. Calculate -5*l(j) + 2*t(j).
-j + 1
Let j be ((-3 - (-30)/(-3)) + -1)/(-2). Let z(d) = 4*d**2 + 13*d - 1. Let p(u) = 3*u**2 + 9*u - 1. Calculate j*p(m) - 5*z(m).
m**2 - 2*m - 2
Let n(a) = -7*a**2 + 11*a. Suppose -6*r + 9 = 15. Let p(m) = m**2 - m. Calculate r*n(k) - 6*p(k).
k**2 - 5*k
Let y(a) = -6*a**3 + a**2 + 0*a**2 + 7*a**3 - 2*a**2. Let j(n) = -3*n**3 + 6*n**2 + 2. Determine -j(w) - 4*y(w).
-w**3 - 2*w**2 - 2
Let d(s) = -3*s + 2. Let l(u) = u - 1. Let z be l(2). Let t(w) = 6*w - 7 - 1 + 2 + z. Determine -5*d(y) - 2*t(y).
3*y
Let p(j) = j. Let a(c) = -3*c. What is -a(b) - 2*p(b)?
b
Let m(h) = 9*h**3 - 5*h + 4. Let x(q) be the second derivative of q**5/5 - q**3/3 + q**2 - q. What is 2*m(f) - 5*x(f)?
-2*f**3 - 2
Suppose 2*d - 3 - 5 = 0. Let a be (-240)/56 - d/(-14). Let o(m) = 7*m + 3. Let z(f) be the second derivative of f**3/2 + f**2/2 + 2*f. What is a*o(l) + 10*z(l)?
2*l - 2
Let t(y) = -4*y + 5. Let l(d) = 0*d + 0*d + 2*d - d - 1. Determine 3*l(m) + t(m).
-m + 2
Let x(h) = 6*h**3. Let n be x(-1). Let m(q) = -q - 2. Let f be (110/(-33))/((-2)/(-3)). Let v = f + 9. Let o(p) = -2*p - 3. Determine n*m(s) + v*o(s).
-2*s
Let f(a) = -3*a**2 + 3. Let w(n) = -n**2 + 1. What is 4*f(k) - 10*w(k)?
-2*k**2 + 2
Let g(n) = 3*n**2 - 9 - n + 1 - 14*n**3 - 11*n**2. Let x(i) be the first derivative of 5*i**4/4 + i**3 + 3*i + 3. Calculate 3*g(u) + 8*x(u).
-2*u**3 - 3*u
Let u(o) = o. Let s(y) = 6*y. Calculate 3*s(a) - 15*u(a).
3*a
Let i(c) = -c**2. Let g(s) = -s + 1. What is 2*g(x) + i(x)?
-x**2 - 2*x + 2
Suppose 6 = -3*s, 2*i - 38 = -2*i + s. Let c = i - 14. Let r(b) = 3*b**2 + 5*b - 5. Let n(t) = -5*t**2 - 8*t + 8. Calculate c*n(m) - 8*r(m).
m**2
Let t(o) = o**2 - 5*o - 1. Let d be t(6). Let r(i) = 12 - d - 6. Let a(n) = 1 + n - 3*n - 3*n + 4*n. What is a(f) + r(f)?
-f + 2
Let j(c) = c**2 - 2*c - 4. Let x be (1/3)/(8/(-48)). Let g(t) = 0*t**2 - 10*t + 0*t**2 - 17 + 2*t + 4*t**2. Give x*g(a) + 9*j(a).
a**2 - 2*a - 2
Let r(u) = -2*u - 1. Let k(a) = -a**2 - 4*a - 1. Calculate 3*k(g) - 5*r(g).
-3*g**2 - 2*g + 2
Let m(i) = -3 - 2*i + 3. Let j(h) be the third derivative of h**4/24 + 17*h**2. Give 8*j(q) + 3*m(q).
2*q
Let u(o) = 21*o**3 + 2*o**2 + 2*o + 2. Let v(t) = 2185*t**3 + 209*t**2 + 209*t + 209. What is 209*u(w) - 2*v(w)?
19*w**3
Let q(p) = -7*p + 4. Let h(o) = -20*o + 17. Let r(m) = -5*m + 25*m + 3 - 19. Let x(l) = 5*h(l) + 6*r(l). What is 17*q(a) + 6*x(a)?
a + 2
Let i(v) = -6*v**3 - 2*v**2. Let u(c) = 7*c**3 + c**2 + 2*c - 2. Let d(j) = -14*j**3 - j**2 - 5*j + 5. Let o(a) = 2*d(a) + 5*u(a). What is 3*i(r) + 2*o(r)?
-4*r**3
Let z(r) = -9*r**3 + 23*r + 7. Let d(m) = -5*m**3 + 12*m + 4. Calculate -7*d(t) + 4*z(t).
-t**3 + 8*t
Suppose -2*k - 2*x = -8, x - 3*x + 7 = 3*k. Let c = -4 + 0. Let a(b) = -5*b - 1. Let i(y) = y. Give c*i(s) + k*a(s).
s + 1
Let u(y) = -2*y + 11. Let n(a) = -2*a + 12. What is -6*n(v) + 5*u(v)?
2*v - 17
Let q(y) = 2*y**2 + 8*y - 3. Let n(d) = 8*d**2 + 33*d - 12. Determine 2*n(f) - 9*q(f).
-2*f**2 - 6*f + 3
Suppose -4*s - 4 = -3*l, -2*l - 2 + 33 = 3*s. Let b(a) = -2*a - 6. Let h(k) = 3*k + 9. What is l*b(q) + 5*h(q)?
-q - 3
Let b(z) = 7*z**2 + 2*z + 4. Let v(t) = -3*t**2 - t - 2. Let h(j) = j**2 + 10*j + 16. Let u be h(-7). Calculate u*v(s) - 2*b(s).
s**2 + s + 2
Let n(u) = 17*u**2 - 11*u. Let k be (-12)/10*(-20)/(-6). Let w(d) = 4*d**2 + d**2 - 2*d**2 - 4*d + 3*d**2. What is k*n(j) + 11*w(j)?
-2*j**2
Suppose -b - i + 1 = 0, -4*b + 3*i + 49 = 17. Let j(c) = -7*c - 3. Let z(k) = -8*k - 4. What is b*j(s) - 4*z(s)?
-3*s + 1
Let a = -70 - -71. Let c(o) = -3*o**2 + o + 3. Let q(f) = f**2 - 1. Give a*c(x) + 5*q(x).
2*x**2 + x - 2
Let a(c) = 5*c**3 + 3*c**2 + 1. Let q be (3/(-2))/(-1*(-5)/(-10)). Let z(l) = -4*l**3 - 2*l**2 - 1. Determine q*z(n) + 2*a(n).
-2*n**3 - 1
Let y(r) = -r**2 - 7*r. Let l(z) = -z. Let q = 35 - 7. Determine q*l(g) - 4*y(g).
4*g**2
Let y(w) = 4*w + 2. Let g(x) = 5*x + 2. Give 2*g(s) - 3*y(s).
-2*s - 2
Let y(v) = -3*v**3 - 5*v**2 + 4*v + 4. Let t(z) = -z**3 - z**2 + z + 1. Let w be (-1)/(-2)*(2 - 4). Give w*y(o) + 4*t(o).
-o**3 + o**2
Let s(z) = 3*z**3 - 7*z**2 + 7*z - 11. Suppose -21 = 5*y + p + 19, 4*y + 4*p + 48 = 0. Let g(l) = -2*l**3 + 4*l**2 - 4*l + 6. Calculate y*g(t) - 4*s(t).
2*t**3 + 2
Let l(o) = 5*o + o - 7*o - 2. Let g(i) be the second derivative of 2*i**3/3 + 4*i**2 - 2*i. Let u be ((-3)/(-1) - 1)/1. Calculate u*g(q) + 9*l(q).
-q - 2
Suppose 0 = 5*i - 4 - 21. Let k = 1 + i. Let a(o) = -6*o**3 + 23*o**2 - 11*o. Let s(n) = n**3 - 4*n**2 + 2*n. Determine k*a(p) + 34*s(p).
-2*p**3 + 2*p**2 + 2*p
Let r(a) = 2*a**3 - 2*a**2 - 1. Let t(i) = -i**2. What is r(d) - 2*t(d)?
2*d**3 - 1
Let p(v) be the first derivative of 2*v**3 - 9*v**2/2 + 9*v - 12. Let b(h) = h**2 - h + 1. Calculate 9*b(m) - p(m).
3*m**2
Let m(s) = -s**2 + 12*s - 7. Let n be m(11). Let y(i) = 3*i**3 + 5*i**2 + 5*i + 5. Let h(k) = 2*k**3 + 4*k**2 + 4*k + 4. What is n*y(z) - 5*h(z)?
2*z**3
Let n(r) = 1. Let u(o) = -o + 2. Let p(g) = -5*g + 9. Let x(k) = 2*p(k) - 11*u(k). What is -7*n(a) - 2*x(a)?
-2*a + 1
Let o(w) = -6*w**3 - 4*w**2. Let d(m) = m**3 - m. Let t(k) = d(k) - o(k). Let n(j) = 4*j**3 + 2*j - 7*j**2 - 8*j**3 - 3*j**3 - 6*j**3. Give -6*n(p) - 11*t(p).
p**3 - 2*p**2 - p
Let m be 1/(-2 - (-10)/6). Let p(d) be the second derivative of -d**5/4 - d**4/6 + 3*d**2/2 + d. Let w(y) = -9*y**3 - 4*y**2 + 5. Calculate m*w(t) + 5*p(t).
2*t**3 + 2*t**2
Let k(q) = -5*q. Suppose 0 = -4*v - 5*v - 108. Let c(w) = w. Calculate v*c(u) - 3*k(u).
3*u
Let g(x) = -4*x**3 + 5*x**2 - 4*x + 5. Let d = 3 + -2. Let n(v) = 2*v + 2 + 3*v**3 - d - 4*v**2 + v - 5. Calculate -4*g(k) - 5*n(k).
k**3 + k
Let a(r) = r**2 - r. Let g(x) = -2*x**2 + 3*x - 2. Let n(s) = 3*s + 18. Let d be n(-5). What is d*a(j) + g(j)?
j**2 - 2
Let t(v) = v**3 - v + 1. Let q(y) = -26*y**3 - 2*y + 2. Determine q(l) - 2*t(l).
-28*l**3
Let d(b) = 2*b + 2. Let a(k) = 1 - 6*k**2 + k + 14*k**2 - 7*k**2. Let m(s) = -2*s - 2. Let x be m(-2). Give x*a(p) - d(p).
2*p**2
Let q(v) = -v**2 - v. Let u(c) = -3*c**3 - 6*c**2 - 4*c. What is 3*q(m) - u(m)?
3*m**3 + 3*m**2 + m
Let r(i) = i**2 - i. Suppose 3*b + 0 = 15. Suppose -5*x - 5 = -0*x. Let m(l) = 4*l**2 - 7*l + 1. Give b*r(n) + x*m(n).
n**2 + 2*n - 1
Let r(z) = 4*z**2 + 3*z + 6. Let w(l) = -l**2 - l - 1. Let h = -53 - -48. Determine h*w(p) - r(p).
p**2 + 2*p - 1
Let n(b) = 118*b**2 - 10*b + 14. Let l(h) = 24*h**2 - 2*h + 3. What is 14*l(v) - 3*n(v)?
-18*v**2 + 2*v
Let y(z) = -7*z + 7. Let m(n) = 6*n - 6. Determine -6*m(g) - 5*y(g).
-g + 1
Let m(t) = 8*t**3 + 3*t + 2. Let o(g) = 8*g**3 + 4*g + 2. Calculate 3*m(x) - 2*o(x).
8*x**3 + x + 2
Let m(x) = 20*x. Suppose -8*t - 30 = -14*t. Let s(n) = 3*n. Calculate t*m(p) - 32*s(p).
4*p
Suppose 3*j - 2*c + 12 = 5*j, 4*j - 2*c = 0. Let r(n) = n + 1. Let l(p) = -p - 3. Calculate j*r(a) + l(a).
a - 1
Let y(w) = 2*w. Let x(s) = 2*s. Determine -2*x(i) + y(i).
-2*i
Let x(y) be the first derivative of 2*y**3/3 + 7*y + 1. Let l be 1*-2 + -2 + -2. Let r = 17 + -31. L
|
{
"pile_set_name": "DM Mathematics"
}
|
o. What is prob of sequence lbo?
1/105
Three letters picked without replacement from wswwfwxq. What is prob of sequence sxf?
1/336
Four letters picked without replacement from {e: 3, l: 2, m: 3, i: 11}. What is prob of sequence emli?
11/5168
Three letters picked without replacement from {t: 1, q: 5, g: 1, d: 1, h: 1}. Give prob of sequence tgh.
1/504
Three letters picked without replacement from mkuuguum. Give prob of sequence ukm.
1/42
Four letters picked without replacement from cncrpqpd. Give prob of sequence dqpn.
1/840
Calculate prob of sequence ldp when three letters picked without replacement from pdrpaljj.
1/168
Calculate prob of sequence tz when two letters picked without replacement from {e: 7, z: 5, t: 2}.
5/91
Calculate prob of sequence ccc when three letters picked without replacement from {c: 7}.
1
Two letters picked without replacement from zfzzzzzzfzzfzfzzzzzz. Give prob of sequence fz.
16/95
Three letters picked without replacement from rryrryrryrrryrrrrrry. What is prob of sequence yry?
5/114
What is prob of sequence uuu when three letters picked without replacement from utddttdunudd?
1/220
Calculate prob of sequence fr when two letters picked without replacement from rfmfbucbmrfmmu.
3/91
Calculate prob of sequence ktt when three letters picked without replacement from tttttxtkw.
5/84
What is prob of sequence eeeh when four letters picked without replacement from {h: 11, e: 5}?
11/728
Four letters picked without replacement from cccllclcllcc. What is prob of sequence llll?
1/99
Four letters picked without replacement from {p: 3, k: 4, v: 1, h: 3}. What is prob of sequence vpkk?
1/220
Three letters picked without replacement from {p: 1, s: 7}. Give prob of sequence spp.
0
Calculate prob of sequence eecf when four letters picked without replacement from {f: 3, g: 3, k: 5, e: 3, c: 4}.
1/1020
Two letters picked without replacement from {f: 2, c: 4}. Give prob of sequence fc.
4/15
Three letters picked without replacement from lllzfllzzlliigillf. What is prob of sequence zzf?
1/408
Calculate prob of sequence yz when two letters picked without replacement from snxyssxyeyze.
1/44
Calculate prob of sequence ccs when three letters picked without replacement from aaacaagasavccacgg.
1/340
Two letters picked without replacement from vvvoov. What is prob of sequence ov?
4/15
Calculate prob of sequence hkub when four letters picked without replacement from ubkhwob.
1/420
Four letters picked without replacement from ifie. Give prob of sequence feie.
0
What is prob of sequence lr when two letters picked without replacement from rrllllrlqr?
2/9
Calculate prob of sequence tjt when three letters picked without replacement from jutujujjuajunujuut.
1/408
Three letters picked without replacement from {o: 7, a: 1, n: 4, g: 2, l: 1, f: 5}. What is prob of sequence ofn?
7/342
What is prob of sequence yy when two letters picked without replacement from pepyroyyypyyy?
7/26
Calculate prob of sequence kk when two letters picked without replacement from {r: 8, k: 5}.
5/39
Two letters picked without replacement from yppcykykyypkkcys. Give prob of sequence cp.
1/40
Calculate prob of sequence zz when two letters picked without replacement from {z: 6, t: 12}.
5/51
Calculate prob of sequence dxff when four letters picked without replacement from fmmmxfaaixdaf.
1/1430
Two letters picked without replacement from {h: 6, d: 1, q: 4}. What is prob of sequence dq?
2/55
Four letters picked without replacement from kkjkzeipeze. What is prob of sequence jzie?
1/1320
Four letters picked without replacement from {v: 4, l: 1, s: 2, n: 1, o: 1}. What is prob of sequence ollv?
0
Four letters picked without replacement from {c: 1, y: 1, f: 3, g: 3, z: 2}. What is prob of sequence zffy?
1/420
What is prob of sequence sl when two letters picked without replacement from {m: 2, s: 2, l: 1, q: 1, p: 2, r: 1}?
1/36
Four letters picked without replacement from twpppktyqqqwwkttw. What is prob of sequence kqyp?
3/9520
What is prob of sequence llv when three letters picked without replacement from lvllzvzzaz?
1/60
What is prob of sequence tooa when four letters picked without replacement from oattttao?
1/105
Four letters picked without replacement from ogggoggooogo. What is prob of sequence gggg?
1/33
Three letters picked without replacement from sooojotb. What is prob of sequence jto?
1/84
Calculate prob of sequence geq when three letters picked without replacement from gdpdeqgpdpepgggd.
1/336
What is prob of sequence grb when three letters picked without replacement from {c: 1, a: 4, g: 1, b: 2, r: 1}?
1/252
Two letters picked without replacement from keiwkikiiiwihwhwhwi. What is prob of sequence wh?
5/114
Two letters picked without replacement from miibxibbbxiqiiiiiqq. What is prob of sequence bi?
2/19
What is prob of sequence aca when three letters picked without replacement from acacaaaacaaaaaaa?
39/280
Three letters picked without replacement from {n: 1, y: 3}. What is prob of sequence yyy?
1/4
Three letters picked without replacement from {w: 1, t: 14}. Give prob of sequence wtt.
1/15
Three letters picked without replacement from uuiuui. What is prob of sequence uiu?
1/5
What is prob of sequence xy when two letters picked without replacement from yxxyxxxxxxxyyxxxyy?
4/17
Calculate prob of sequence gi when two letters picked without replacement from {g: 3, i: 8}.
12/55
Two letters picked without replacement from gafinfe. Give prob of sequence ae.
1/42
What is prob of sequence fqqf when four letters picked without replacement from fqqqqqqqqqqqqqqfqqq?
1/171
Two letters picked without replacement from {i: 11, e: 3}. Give prob of sequence ee.
3/91
Three letters picked without replacement from {u: 2, o: 2}. Give prob of sequence ouo.
1/6
Four letters picked without replacement from oyyogoyoyopoyyyyzoo. Give prob of sequence zpyo.
2/2907
Calculate prob of sequence jppj when four letters picked without replacement from mmppjmpmmmjpj.
3/715
Calculate prob of sequence csc when three letters picked without replacement from {s: 3, m: 1, c: 4}.
3/28
Two letters picked without replacement from {f: 6, z: 5, y: 2}. Give prob of sequence fy.
1/13
What is prob of sequence yv when two letters picked without replacement from {k: 3, s: 3, t: 4, v: 2, d: 1, y: 4}?
1/34
Three letters picked without replacement from eejjjeeeejje. Give prob of sequence jjj.
1/22
Calculate prob of sequence auuh when four letters picked without replacement from {u: 2, h: 1, a: 4, d: 3, w: 1}.
1/990
Calculate prob of sequence zzz when three letters picked without replacement from lllllllzlzzlll.
1/364
Calculate prob of sequence gs when two letters picked without replacement from {s: 8, g: 2}.
8/45
What is prob of sequence or when two letters picked without replacement from eereaxaeeyeyaeoeareo?
1/95
Two letters picked without replacement from {p: 6}. Give prob of sequence pp.
1
Three letters picked without replacement from ibibbbkkkkkik. What is prob of sequence kbk?
10/143
Two letters picked without replacement from zfzfff. Give prob of sequence fz.
4/15
Four letters picked without replacement from {e: 3, x: 4, y: 4}. Give prob of sequence yxxe.
1/55
Calculate prob of sequence zjj when three letters picked without replacement from {z: 1, j: 7}.
1/8
Two letters picked without replacement from vbvbpgps. Give prob of sequence pv.
1/14
Three letters picked without replacement from fkdkkiiqkqikkii. Give prob of sequence kkk.
4/91
Two letters picked without replacement from {h: 3, x: 17}. Give prob of sequence hh.
3/190
Three letters picked without replacement from scdscscsscd. Give prob of sequence ccc.
4/165
Three letters picked without replacement from {q: 1, s: 12}. Give prob of sequence sss.
10/13
Calculate prob of sequence jb when two letters picked without replacement from {g: 1, d: 1, s: 1, b: 1, r: 1, j: 2}.
1/21
Four letters picked without replacement from bbjkvuvuuuukkkuvku. What is prob of sequence bjuk?
7/7344
Two letters picked without replacement from {b: 3, x: 3}. Give prob of sequence xx.
1/5
Four letters picked without replacement from {p: 8, a: 5, n: 5}. Give prob of sequence paan.
5/459
What is prob of sequence qbl when three letters picked without replacement from rnrncqbrrrllq?
1/429
What is prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is p rounded to 5 dps?
-0.00002
Let n = -43 + -1. Let v = n + 4. Let c = 39.9999927 + v. What is c rounded to six dps?
-0.000007
Let z = -20 + 19.79. Let j = z + -0.12. What is j rounded to one decimal place?
-0.3
Let w = 25.082 + -25.5. Let z = w + 0.38. What is z rounded to 2 decimal places?
-0.04
Let u be ((-24)/18)/(2/(-180)). What is u rounded to the nearest 10?
120
Suppose -27 = 4*l + 5. Let x = 12 + l. Round x to the nearest 10.
0
Let n(v) = v**2 - 240000. Let z be n(0). Round z to the nearest one hundred thousand.
-200000
Let c = -199.52 - -203. Round c to 0 decimal places.
3
Let d be (-2)/((-24)/10 - -2). Suppose 0 = x + 20 - d. Round x to the nearest 10.
-20
Let u(x) = -x**2 + 6*x. Let k be u(6). What is k rounded to the nearest 1000000?
0
Let n = 1.1 - 1.17. Let j = n - -0.145. What is j rounded to two decimal places?
0.08
Suppose -1165 = -5*k + 5*g, 3*k + 2*g - g = 703. Let v = 111 - k. What is v rounded to the nearest 10?
-120
Let n = -0.06 + 0.22. Let u = n + -0.167. Round u to 3 decimal places.
-0.007
Let u = 7 + -5. Let t = u - 2.2. What is t rounded to 1 decimal place?
-0.2
Let u(g) = -g**2 - 10*g - 5. Let c(x) = 2*x**2 + 20*x + 10. Let o(z) = 3*c(z) + 7*u(z). Let t be o(-13). What is t rounded to the nearest ten?
-40
Let w = -3539006 - -3538999.000042. Let y = w - -7. What is y rounded to 5 dps?
0.00004
Let s = 21 + -21.007. What is s rounded to 2 dps?
-0.01
Let f = 122.83 - -2.17. Let o = -122.96 + f. Let u = o - 2. What is u rounded to 2 dps?
0.04
Let g = -0.05000345 - -0.05. Round g to six dps.
-0.000003
Suppose -5*y + m - 57006 = 3*m, -5*m - 57015 = 5*y. Round y to the nearest 1000.
-11000
Let s = -5.0219 + 0.0699. Let j = 23.2 + -28. Let v = s - j. Round v to 2 decimal places.
-0.15
Let x be 1/(-1 - (-12)/10). Suppose 4*k + 3*u = 223587, -x*k - 2*u + 165593 + 113889 = 0. Suppose 4*q + k = -6904. What is q rounded to the nearest 1000?
-16000
Let h(a) = 63890*a**2 + 7*a - 1. Let z be h(-6). Let o be 6/10 + z/5. What is o rounded to the nearest 100000?
500000
Suppose 3*v = 4*a + 16899 - 248, 5*v = -a + 27767. Let f be 3560/(-10)*46/8. Let d = f - v. What is d rounded to the nearest one thousand?
-8000
Let c = -63 + 63.168. Round c to 2 dps.
0.17
Let w = 1115875599.2 + -1115875773.19999842. Let z = w - -174. Round z to 7 decimal places.
0.0000016
Suppose 0*o - 16 = 4*w + 4*o, -w + 4*o = -21. Let a be w/(-3) + (-26)/(-6). Suppose -m - 190000 = 3*r - 0*r, a*m + 760000 = -4*r. Round m to the nearest 100000.
-200000
Let g = -1 + -9. Let z = 7829 - 12430. Let y be z/2 + (-5)/g. What is y rounded to the nearest one thousand?
-2000
Let q(p) be the first derivative of -19*p**2/2 + 3*p - 3. Let m be q(-3). Round m to the nearest 100.
100
Let q = 12.76 - -1.64. Let u = 3.5 - q. Round u to the nearest integer.
-11
Let u = -9.3 + 5.2. What is u rounded to zero dps?
-4
Let t = -88 + 481. Let u = t + 327. What is u rounded to the nearest 100?
700
Let f = 45.00041 + -45. What is f rounded to 4 decimal places?
0.0004
Let p = 324.227 - 324. Let w = -22.173 - p. Let s = 26 + w. What is s rounded to 0 decimal places?
4
Let w = -1276.90002 - -1277. Let v = -8 - -8.1. Let h = v - w. Round h to four dps.
0
Let z = 0.18 + -4.68. Let o = 2 + z. What is o rounded to 0 dps?
-3
Let p = 0.5 + 0.75. Let y = 1.363 - p. Round y to 2 decimal places.
0.11
Let i = -14 - -1. Let k = -8 - i. Suppose 358 = -m + k*o - 137, -2*o - 1400 = 3*m. Round m to the nearest 100.
-500
Let t = 0.09 - 0.0900746. Round t to five decimal places.
-0.00007
Let i = 0.7 + 0.8. Let u = -1.251 + i. Round u to 2 dps.
0.25
Let g = -0.588 + 0.51. Let z = -0.459 - g. Let r = z + -0.089. Round r to 1 decimal place.
-0.5
Suppose 5*w + 2*q - 29416 = -10862, -2*w = -2*q - 7416. What is w rounded to the nearest one thousand?
4000
Let m = 2 + -1. Let a = 0.9982 - m. Round a to 3 decimal places.
-0.002
Let o = 0.8 + -0.805. Round o to 2 decimal places.
-0.01
Suppose q + 2 = v, -4*q = -2*v - 3*q - 1. Let m = 6 + v. Suppose -3*g - 4*x - 145 = 0, -4*g = m*x - 5*x + 208. What is g rounded to the nearest ten?
-50
Let v = -100.00119 + 100. Round v to four dps.
-0.0012
Let h = -4929 - -969. What is h rounded to the nearest one hundred?
-4000
Suppose 0 = -s + 2*s - 7. Let j(w) = 292*w**3 - 4*w**2 + 5*w + 5. Let i be j(s). Round i to the nearest 1000000.
0
Let y = 0.37 - -0.22. Round y to one decimal place.
0.6
Let h = -20 + 19.92. What is h rounded to 1 dp?
-0.1
Let v(o) = o**3 + o**2 - o - 6000. Let b be (0 + 1/(-2))*0. Let i be v(b). What is i rounded to the nearest one thousand?
-6000
Let t = 9 + -10. Let d = t - -0.974. What is d rounded to 2 decimal places?
-0.03
Let c = 2.2 + -2.222. Round c to two dps.
-0.02
Let n = 0.8 + 14.2. Let c = n - 15.55. What is c rounded to one decimal place?
-0.6
Let c = 0.1 + -0.4. Let w = -0.300002 - c. Round w to 6 dps.
-0.000002
Let l = 16.09 - 16. Round l to two dps.
0.09
Let m(z) = z**3 + z**2 - 5*z. Let k be 8/(-4) - -6*1. Let o be m(k). Round o to the nearest ten.
60
Let j = 3.49151 - 0.00451. Let w = j - 4.1866. Let r = 0.7 + w. What is r rounded to three dps?
0
Let u = -23 - -12. Let p = u + 21. Let k be 1*p*(-4 - -63). What is k rounded to the nearest 100?
600
Let m = 4 - 4. Suppose m = -3*z + 15 + 9. Round z to the nearest ten.
10
Let s = -15 + 14.71. Let c = -46.71 + s. Let b = -51.6 - c. What is b rounded to the nearest integer?
-5
Let j = -0.32 - -17.32. Let b = j + -17.00004. What is b rounded to five dps?
-0.00004
Let v = 2.11 - 1.18. Let w = v + -42.93. Let c = 42.51 + w. What is c rounded to 1 dp?
0.5
Let c = -14.5 - -6. Let z = c - -6. Round z to 0 dps.
-3
Let x be ((-625)/(-4))/(3/192). Round x to the nearest ten thousand.
10000
Let m = 33 - 32.99952. Round m to four dps.
0.0005
Let r = 17.62 - 6.46. Let n = r - 11. Let p = 0.81 + n. What is p rounded to 1 decimal place?
1
Let u = 1.29 + 0.41. Let k = u - 1.548. What is k rounded to two decimal places?
0.15
Let g = -280054 + -47946. Round g to the nearest ten thousand.
-330000
Let q be 8/5 + (-2)/(-5). Let t = q - -2. Suppose a - t*v + 2000 = -4*a, 1200 = -3*a + 2*v. What is a rounded to the nearest 1000?
0
Suppose 2*r - 6 = -4*a, 3*a + 2*a + 3 = r. Suppose -r*d - 2*d - 29000012 = 3*k, 2*d + 5*k = -11600020. Round d to the nearest one million.
-6000000
Let s = 3909272.747 - 3909244.74699909. Let o = s + -28. Round o to 7 decimal places.
0.0000009
Let g = 271756528 + -62856354. Let b = 208900175.60999933 - g. Let s = 1.61 - b. Round s to 7 dps.
0.0000007
Let y(z) = 3749999*z - 2. Let b be y(-2). Round b to the nearest one million.
-8000000
Let h = -40427607.6 + 40443032.59998. Let t = h + -15422. Let l = -3 + t. Round l to 4 dps.
0
Let c = -69.6404 + 0.0404. Round c to the nearest ten.
-70
Let i = 88 + -88.049. Round i to 2 dps.
-0.05
Let f = -2 + 1. Let y = f + 0.4. Let b = 0.5972 + y. What is b rounded to 3 decimal places?
-0.003
Suppose 57 = 2*g + 7. Suppose -2*w = -6 - 4. Suppose -2*c = -5*h + 31, -w*h = -3*c - 9 - g. Round c to the nearest 10.
0
Suppose 6*m - 10*m = -26600000. Round m to the nearest 1000000.
7000000
Let a = 0.117 - 0.003. What is a rounded to 2 dps?
0.11
Let m = 12214 - 12093.63. Let p = 121 - m. Round p to 1 decimal place.
0.6
Let u(c) = -432808*c**3 - 5*c. Let y be u(-4). Let z = y - 19399732. Round z to the nearest 1000000.
8000000
Let h = -0.02999927 - -0.03. What is h rounded to 7 dps?
0.0000007
Suppose 14 + 1 = 5*s. Suppose m + 4*l - 294 = 0, 4*m = 4*l - 234 + 1490. Suppose s*r - 4*r = -m. What is r rounded to the nearest 100?
300
Let q = -344.18 - -338. What is q rounded to the nearest integer?
-6
Suppose 3*y = f + 4, -6*f + 5*f + 12 = 5*y. Let u = 1 - y. Let o be u/(-3) - (-2042)/(-6). What is o rounded to the nearest one hundred?
-300
Let x = -90222.3984 + 89690. Let h = x - -532. Let d = h + 0.4. What is d rounded to 3 decimal places?
0.002
Suppose 4*q - 5*q = 0. Suppose 2*s + q*s + 3*t = -39400015, 3*s + 5*t = -59100025. What is s rounded to the nearest one million?
-20000000
Let r(z) = 1624*z - 4. Let w be r(1). Round w to the nearest one hundred.
1600
Let b = -36163265.000009 + 36163280. Let k = -15 + b. What is k rounded to 5 dps?
-0.00001
Let n = -0.18 - -1.48. Let h = n + -2.08. Round h to 1 decimal place.
-0.8
Let k = 13812669 - 2412669. What is k
|
{
"pile_set_name": "DM Mathematics"
}
|
95 + -92179/215820. Let u be 1*1/(-36) + 0. Let a = x - u. Which is smaller: 0.02 or a?
a
Suppose 0 = 4*k - 3*h - 4, 0 = 3*k - 4*h - 1 - 2. Let m = -7 - -11. Let r = -3.9 + m. Is r not equal to k?
True
Let k be 1*1/(-33)*-6. Is -1 at least as big as k?
False
Let b = 1 + 2. Suppose 6*g - 5*g = 21. Let n = g - 83/4. Which is greater: b or n?
b
Let r = -244 - -1705/7. Let i(w) = w - 3. Let g be i(2). Is r greater than or equal to g?
True
Let i = 239 + -1676/7. Let l(z) = z**2 + 3*z + 4. Let u be l(-3). Let p be (0 - -2)*2/u. Which is smaller: i or p?
i
Suppose 0 = 7*m + 60 + 108. Which is smaller: m or -23?
m
Let c be 1 + 0 + 2 + (4 - -6). Is c > 66/5?
False
Suppose -4*i + i + 24 = 0. Let r be ((-3)/(-5))/(i/20). Let q = 12 - 10. Which is greater: q or r?
q
Let l be 3 + (0 - 23/7). Let g = -3/368 + -531/2576. Let r = g + l. Is -2 not equal to r?
True
Let m = -2.3 - -2.6. Let k = 0.2 - m. Let a = 0.35 - 0.05. Do k and a have different values?
True
Suppose -5*g + 0*g - 10 = 0, -5*g = -4*n + 18. Let d(z) = z + 1. Let m be d(5). Suppose 3*t = -0 + m. Is t greater than n?
False
Let o(d) = -3*d**3 + 2*d**2 + 2*d + 1. Let n be o(-1). Which is bigger: n or 9?
9
Let w be 1 + 0 + 10 + -6. Is w less than 4?
False
Let j be (2 - (-5)/(-3))*69. Suppose -5*z + j = 3*x, z = -4*z - x + 21. Is z < 6?
True
Let l = 1103 + -88241/80. Which is bigger: l or 1?
1
Let f be (-4)/42 - (-1)/(-3). Is f equal to -1?
False
Let p(n) = n + 13. Let b be p(-8). Let f(q) = -q - 1. Let i be f(b). Let a be 25/44 + i/8. Which is smaller: a or 0?
a
Let i be 10/15*(-4 - -1). Let u be i/6 - 3/(-9). Is u at least as big as 2?
False
Let v = -8 - -16. Suppose -q = 3*p - v, -5*q + 18 = -p - 6. Let h = -75/4 + 837/44. Is p at least h?
True
Let n = 87 - 88. Which is greater: 5/43 or n?
5/43
Suppose 0 = -8*c - 9 + 1. Let i = -12 - -2. Let s = i + 49/5. Is s bigger than c?
True
Let v = 3.6 + -5. Let t = v + 1.5. Which is bigger: 1 or t?
1
Let u be 2/9 - (-4)/(-18). Let o(b) = b**3 - 6*b**2 + 6*b + 3. Let d be o(5). Let k be d/3 + -1 + -1. Is k at least u?
True
Let u(d) be the third derivative of d**4/24 + 7*d**3/6 + 2*d**2. Let j be u(-4). Let f = -1 + j. Which is smaller: 3 or f?
f
Let g = 0.15 - 0.05. Let j = 0.5 + -0.3. Let h = j + -0.1. Is h != g?
False
Let z(l) = 34*l - 1. Let d be z(1). Let p = 197/6 - d. Let t be 1*(1 - (-1 - -1)). Is p smaller than t?
True
Let f be (-22)/(-18) - (-12)/(-54). Let w(i) = -1 - i**2 - i + i**3 + 0*i + 3*i. Let q be w(f). Is q equal to 0?
False
Let i = -8 + 12. Suppose -23 = i*q - 7. Do q and -5/2 have different values?
True
Let l = -0.02 + 0.1. Let u = l + -3.08. Let t = -2 - u. Do t and 0.2 have the same value?
False
Let v = 3 - 0. Suppose -5*s = 17 + v. Which is bigger: -2 or s?
-2
Let c be 4 - 12/3 - 5. Let f(p) = p**2 + 2*p - 11. Let o be f(c). Does o = 3?
False
Let x be 4/5 + 356/(-420). Is 0 >= x?
True
Let y = 17 - -3. Let d = y - 11. Is 10 at least d?
True
Let v = 3 + -5. Let m = -0.3 + 0.3. Let n = -2 - m. Is n greater than or equal to v?
True
Let h be (12/4)/(6/4)*-1. Suppose 4 = -4*q - 4. Is q > h?
False
Let b = 15 - 11. Suppose -6 - 2 = -b*j. Suppose 5*y + 4*w = -w + 15, j*w = 10. Is y at least -2/3?
False
Let l(o) = -o**3 - 5*o**2 + o + 3. Let q be l(-5). Suppose 8*k - 280 = 4*k. Let n = k - 212/3. Which is smaller: q or n?
q
Let f = 14 + -3. Let d = -12 + f. Do d and 0.6 have the same value?
False
Let y = -7 - -10. Suppose s = 2*s - y. Let q(a) = a - 3. Let l be q(5). Which is smaller: s or l?
l
Suppose 3*c - 2*c + 4 = -4*v, 2*c - 3 = 3*v. Let s = -20 + 10. Let t = 61/6 + s. Which is greater: v or t?
t
Suppose u - 3*z = 6*u - 4, -2*u + z - 5 = 0. Let n be (u/(-6))/((-12)/(-18)). Which is bigger: 0 or n?
n
Let j be 12/(-8)*(-8)/6. Let o be (4 - 14/3) + j. Which is smaller: 1 or o?
1
Let x = 29 + -119/4. Let v = 10 - 10. Is v at most x?
False
Let l be (3 + -4)*(0 - -1). Suppose 2*k = -k. Suppose k = 5*u - 5*c + 30, 20 = -c + 6*c. Are u and l nonequal?
True
Let i = 14 - 16. Which is smaller: 7 or i?
i
Let u = -47 + 45. Is u at most 15?
True
Let y be -1*(1 - (-1 - -1)). Let p = 7853/54 + -291/2. Do p and y have the same value?
False
Let x be 2 + 3*42/(-45). Is -1 <= x?
True
Let n = -28 - -27. Which is smaller: -5/4 or n?
-5/4
Let t be -1 + -1 - (-18 + 0). Suppose 4*b + 18 = 6*b + 5*q, 4*b = 3*q - t. Is b at most 3?
True
Let o(v) = -v**2 + 5*v - 1. Let y be o(5). Let t be (-14 + 10)*2/(-116). Which is bigger: y or t?
t
Let f = -10 + 14. Let x be (-3)/(3 - 30/f). Is 2 bigger than x?
True
Let q = -5.4 + 5.49. Which is greater: 2 or q?
2
Let v = 0 - -2. Suppose -s - v = 2. Let f be s/(-60)*(4 - 1). Which is greater: 1 or f?
1
Let c = 0.38 - -0.02. Let n = c + -0.4. Let m = 11 - 21/2. Does m = n?
False
Let b = 3/65 - -233/585. Is b smaller than 0?
False
Let z be -3 - -1 - (-24)/11. Let k(l) = -l - 3. Suppose -5*n - 12 = 3. Let f be k(n). Which is greater: f or z?
z
Let h = 4 + -6. Let d be ((-12)/(-9))/(h/3). Is d <= 1?
True
Let i be 4/((-60)/(-129))*1. Is 9 at least i?
True
Let m = 0.32 - 1.12. Is 2/11 less than m?
False
Let z(x) = 5*x - 1. Let j be z(1). Suppose 3*q = -q - j. Let a = 10/33 + 16/165. Which is smaller: q or a?
q
Suppose -s + 6*s + 15 = 5*x, -5*s - 5*x = -5. Let q be (2/(-56))/(6/(-24)). Which is bigger: q or s?
q
Suppose -2*j - 9 = -4*l + 19, -2*l + 5*j + 6 = 0. Suppose -4*y + 12 = 0, l*y = 3*v + 3*y + 9. Are v and -0.1 nonequal?
True
Let r be (1 - 1)/((-3)/(-3)). Suppose r*m - 5 = -5*m. Is m at least as big as -1/2?
True
Suppose 5*m + 13 = -v + 3, -2*v + m = 20. Is -10 less than v?
False
Let t = 7 - 6. Suppose -5*x + 21 = t. Which is greater: -1 or x?
x
Let g be 1/4 + (-2)/8. Let l(z) = -z**3 + 3*z**2 + 4*z + 2. Let i be l(4). Let w be (i/(-8))/(10/(-8)). Which is smaller: g or w?
g
Let j(b) = b**2 + 3*b - 6. Let h be j(-5). Let u be (h + -5)/(1 + 0). Is -3 less than or equal to u?
True
Let c be -6 + 5/(5/(-2)). Is c greater than -9?
True
Let i be (-19)/76 + 46/(-8). Suppose -3*k + 6*k + 9 = 0. Is k at most i?
False
Let g(x) = x**2 - 11*x + 36. Let o be g(8). Is 10 <= o?
True
Let h(m) = -10*m - 4. Let p be h(-2). Suppose 2*j = -6 - p. Is j at most as big as -11?
True
Let p(w) = -w**2 + 4*w + 4. Suppose 4*a = 3*j - 39, 4*a = 4*j - 24 - 16. Let g be (-2 - a/6)*-10. Let z be p(g). Do -2/3 and z have the same value?
False
Let g = 10 - 6. Suppose -j + 4 = g*m, 2*j + 2*j - 5 = -5*m. Is 1 not equal to m?
False
Let l = 37 + -14. Let y = 23 - l. Which is smaller: -2/5 or y?
-2/5
Let r(y) = y - 7. Let z be r(10). Suppose 4*w - 12 = 0, 0*w - z*w - 15 = -3*l. Is l greater than or equal to 2/5?
True
Let r be (-174)/(-18) - 1/(-3). Suppose -5*g + 10*g + r = 0. Which is smaller: g or -1?
g
Let n(y) = -y**2 + 4*y + 7. Suppose 4*v = 3*t + 1 + 16, -4*v - 3*t = -23. Let w be n(v). Which is smaller: -2 or w?
-2
Suppose 3*k + 2*z - 6 = -2*z, -k = -5*z + 17. Let s = 1 - 1. Suppose s = 2*t - 5 + 11. Is t greater than k?
False
Let a be (-2)/(-3 + (-35)/(-10)). Let l be 7*-3*2/(-7). Let t be (l/(-126))/((-2)/a). Do 1 and t have different values?
True
Let h be (-8)/10*785/(-2). Suppose 146 = -4*p - h. Let w = -572/5 - p. Is w at least 0?
True
Suppose 3*t = -9, -t - t = u + 4. Suppose -u*r - q + 3 = 0, -q = -5*r + q - 6. Suppose r = -2*i - i. Is 0 equal to i?
True
Suppose -5*g + 2*i + 29 = 0, -3*g + 5 = 5*i - 0. Suppose 0 = g*l + 2 - 12. Is l at most as big as 2?
True
Suppose c - 1 = -0*c + l, 0 = -2*l. Let y be (c/(-6))/(13/(-26)). Which is smaller: y or 1?
y
Let v be 74 - 1*(-2 - 1). Let d = 537/7 - v. Which is greater: d or 2/3?
2/3
Suppose -5*t - 18 = 42. Let a be (-35)/4 - t/(-48). Which is smaller: a or 0.1?
a
Let k = -10 + 4. Which is bigger: 0 or k?
0
Let i = 10 - 48/5. Which is smaller: -0.09 or i?
-0.09
Suppose 5*o - 3*o = 0. Suppose o*a - 28 = a + 3*b, 2*b = 2*a + 16. Is -12 at most as big as a?
False
Let i be 2/11 + 438/132. Which is smaller: i or 3?
3
Let n = 19.1 - 15. Let i = 0.2 + -4.2. Let b = i + n. Which is smaller: b or -3?
-3
Suppose -5*n + 3*c + 25 = 0, -4*n + 3*c = 4*c - 20. Suppose 2*j + 9 = -n*k, j - 2 - 1 = 0. Suppose 3*w + 16 = -w. Which is greater: k or w?
k
Suppose 3*s = -3 - 0. Do 1/12 and s have the same value?
False
Let b = 83 - 41. Which is smaller: b or 0.2?
0.2
Let j = 5.8 - -0.2. Let n = -6.3 + j. Which is bigger: -2 or n?
|
{
"pile_set_name": "DM Mathematics"
}
|
ob of picking 3 v and 1 l when four letters picked without replacement from {f: 1, l: 5, v: 5}?
5/33
Two letters picked without replacement from zrrhhrrhrthzzrtzrrz. Give prob of picking 1 r and 1 t.
16/171
What is prob of picking 1 h, 1 r, and 2 p when four letters picked without replacement from wrswwwwwpwwhps?
1/1001
Calculate prob of picking 1 a and 1 q when two letters picked without replacement from raqlralaqararfrdqrrq.
2/19
What is prob of picking 1 m and 1 s when two letters picked without replacement from gmgvgtgvvggsgs?
2/91
Four letters picked without replacement from {j: 2, b: 2, z: 2, d: 3}. Give prob of picking 1 d, 1 b, 1 j, and 1 z.
4/21
Two letters picked without replacement from cvuyc. What is prob of picking 1 v and 1 y?
1/10
Calculate prob of picking 2 z and 1 q when three letters picked without replacement from zozozzqjiozoz.
15/286
What is prob of picking 3 v when three letters picked without replacement from vvnvvuvxvvvv?
21/55
Two letters picked without replacement from {e: 4, z: 2, k: 1, q: 1, j: 7}. Give prob of picking 2 e.
2/35
What is prob of picking 2 t and 2 q when four letters picked without replacement from {n: 1, q: 2, d: 2, i: 1, t: 2}?
1/70
Three letters picked without replacement from mmos. Give prob of picking 1 m and 2 s.
0
Four letters picked without replacement from {o: 6, f: 1, z: 11}. What is prob of picking 2 o and 2 z?
55/204
Three letters picked without replacement from cyyryccyyccycycccrcz. What is prob of picking 3 y?
7/228
What is prob of picking 2 z and 1 m when three letters picked without replacement from {m: 3, z: 2, g: 1, t: 4}?
1/40
Three letters picked without replacement from {b: 4, a: 7, t: 5}. Give prob of picking 1 t, 1 b, and 1 a.
1/4
Calculate prob of picking 2 b and 1 j when three letters picked without replacement from yigibbigeeebgbebbj.
5/272
Two letters picked without replacement from {a: 2, e: 5, n: 12}. Give prob of picking 1 a and 1 n.
8/57
Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 1, z: 2, r: 5, b: 11}.
5/171
What is prob of picking 1 z and 2 n when three letters picked without replacement from {z: 1, f: 2, n: 2}?
1/10
Two letters picked without replacement from yhtkkhd. Give prob of picking 1 t and 1 d.
1/21
Four letters picked without replacement from jccccjccccjjcc. Give prob of picking 4 c.
30/143
What is prob of picking 1 f and 2 l when three letters picked without replacement from {k: 5, l: 7, r: 6, f: 1}?
7/323
Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 3, y: 12}.
12/35
What is prob of picking 1 x and 2 z when three letters picked without replacement from zzzzzzzzzzzzzzzzxz?
1/6
Two letters picked without replacement from zzzmmmhmh. What is prob of picking 1 h and 1 m?
2/9
Three letters picked without replacement from {k: 8, n: 5}. Give prob of picking 3 n.
5/143
Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 2, z: 1, k: 2, u: 1}.
2/15
Two letters picked without replacement from kkucohhhcoccch. Give prob of picking 1 o and 1 u.
2/91
Four letters picked without replacement from nggccgggcgc. What is prob of picking 4 c?
1/330
Four letters picked without replacement from {z: 2, w: 2, c: 4, x: 5}. Give prob of picking 1 w and 3 x.
4/143
Four letters picked without replacement from {i: 3, p: 3, z: 2, y: 1, r: 7, g: 1}. What is prob of picking 2 p, 1 y, and 1 r?
3/340
Four letters picked without replacement from {d: 2, u: 4, i: 3, h: 1}. Give prob of picking 3 i and 1 h.
1/210
Two letters picked without replacement from gbgggggbggg. Give prob of picking 2 g.
36/55
What is prob of picking 2 h and 1 b when three letters picked without replacement from {b: 3, z: 2, h: 4}?
3/14
Two letters picked without replacement from eeevev. What is prob of picking 2 v?
1/15
Three letters picked without replacement from {g: 2, a: 2, s: 1, i: 1}. Give prob of picking 2 g and 1 i.
1/20
Two letters picked without replacement from dyddyy. Give prob of picking 1 y and 1 d.
3/5
Two letters picked without replacement from {j: 2, n: 1, f: 1}. Give prob of picking 2 j.
1/6
What is prob of picking 3 i and 1 h when four letters picked without replacement from iiiiiihiiiiiiiiiii?
2/9
Three letters picked without replacement from {k: 5}. Give prob of picking 3 k.
1
Four letters picked without replacement from xooowfyoox. What is prob of picking 1 w, 2 x, and 1 y?
1/210
What is prob of picking 2 q and 1 c when three letters picked without replacement from kkkkkkccqqckkc?
1/91
What is prob of picking 1 v and 1 a when two letters picked without replacement from {a: 3, v: 2, u: 1, s: 4, l: 2, w: 6}?
2/51
Three letters picked without replacement from {m: 1, e: 2, y: 1, l: 1}. Give prob of picking 1 e, 1 y, and 1 l.
1/5
Four letters picked without replacement from {w: 7, h: 5}. What is prob of picking 4 w?
7/99
Three letters picked without replacement from {t: 3, a: 4}. What is prob of picking 2 t and 1 a?
12/35
What is prob of picking 1 y and 2 a when three letters picked without replacement from {a: 4, y: 1, c: 2, f: 1}?
3/28
Two letters picked without replacement from sllsgbgyss. What is prob of picking 1 y and 1 b?
1/45
What is prob of picking 2 d when two letters picked without replacement from odtoososdtdso?
1/26
Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {x: 7, b: 1, g: 7, y: 1}.
7/120
What is prob of picking 1 j and 1 k when two letters picked without replacement from {i: 2, w: 2, s: 8, y: 3, k: 1, j: 4}?
2/95
What is prob of picking 1 g and 1 b when two letters picked without replacement from zdzdgzdgbvvgdbgnggb?
2/19
What is prob of picking 3 u and 1 o when four letters picked without replacement from {u: 4, m: 3, o: 6}?
24/715
Calculate prob of picking 1 u and 2 e when three letters picked without replacement from lmmemueuueuuuueuuu.
5/68
What is prob of picking 3 v when three letters picked without replacement from vvvvvv?
1
Three letters picked without replacement from yuyyyyyayytayu. What is prob of picking 1 t, 1 a, and 1 u?
1/91
Three letters picked without replacement from {d: 1, j: 2, p: 7, c: 1, v: 3}. What is prob of picking 1 v, 1 d, and 1 j?
3/182
Two letters picked without replacement from xbydyxqdqddqdqxdqyj. Give prob of picking 1 b and 1 q.
5/171
Four letters picked without replacement from zzzzz. Give prob of picking 4 z.
1
What is prob of picking 1 s and 1 r when two letters picked without replacement from {r: 2, a: 4, f: 2, s: 3}?
6/55
Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, y: 1}.
1/2
Calculate prob of picking 2 j and 1 b when three letters picked without replacement from jfuvojffvjvbjvuovv.
1/136
Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, h: 2, o: 3}.
3/28
Calculate prob of picking 3 c when three letters picked without replacement from ccnc.
1/4
Two letters picked without replacement from {d: 3, b: 7}. What is prob of picking 1 d and 1 b?
7/15
Two letters picked without replacement from {l: 7, g: 4}. What is prob of picking 2 l?
21/55
What is prob of picking 1 w and 1 x when two letters picked without replacement from dqxqwqwq?
1/14
Two letters picked without replacement from {k: 2, j: 1, u: 2, d: 1}. Give prob of picking 1 u and 1 j.
2/15
What is prob of picking 1 z and 1 c when two letters picked without replacement from {z: 6, c: 6}?
6/11
Calculate prob of picking 1 y and 1 n when two letters picked without replacement from ynyfnynn.
3/7
Four letters picked without replacement from {o: 10}. What is prob of picking 4 o?
1
What is prob of picking 2 k when two letters picked without replacement from ksysyyywyyky?
1/66
Calculate prob of picking 1 z, 1 s, and 1 j when three letters picked without replacement from kzijsmi.
1/35
Three letters picked without replacement from {r: 3, u: 2, q: 4, b: 2}. Give prob of picking 1 r and 2 q.
6/55
Calculate prob of picking 2 h when two letters picked without replacement from yhyayyyahyhyho.
6/91
Two letters picked without replacement from fqrrrrrpsrqrqqsqrq. Give prob of picking 1 q and 1 r.
16/51
Three letters picked without replacement from {i: 1, y: 2, n: 1}. What
|
{
"pile_set_name": "DM Mathematics"
}
|
g 1 x and 1 t?
2/39
What is prob of picking 2 o when two letters picked without replacement from oooooo?
1
Four letters picked without replacement from ddddddfdfddfdf. Give prob of picking 4 d.
30/143
What is prob of picking 1 o and 2 f when three letters picked without replacement from {f: 9, o: 10}?
120/323
Three letters picked without replacement from {p: 5, d: 2, i: 3, l: 2, e: 3}. Give prob of picking 2 i and 1 p.
3/91
What is prob of picking 1 d and 1 z when two letters picked without replacement from rrtzdtzttrh?
2/55
Two letters picked without replacement from pldttpkjpjj. What is prob of picking 1 p and 1 k?
3/55
Three letters picked without replacement from {i: 4, n: 7, a: 2, q: 1, s: 2}. What is prob of picking 1 n and 2 i?
3/40
Two letters picked without replacement from {y: 1, s: 4, k: 4, t: 1, c: 3, v: 1}. Give prob of picking 1 c and 1 y.
3/91
Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjjjjjjjjdj.
4/5
What is prob of picking 1 r and 1 v when two letters picked without replacement from {v: 4, n: 2, r: 5}?
4/11
Four letters picked without replacement from {f: 3, c: 9}. Give prob of picking 3 f and 1 c.
1/55
What is prob of picking 2 g and 1 i when three letters picked without replacement from pvpipgpgvw?
1/120
Two letters picked without replacement from aylyrlyllaylwawly. Give prob of picking 2 y.
5/68
What is prob of picking 1 b and 1 v when two letters picked without replacement from {v: 3, j: 2, h: 3, b: 11}?
11/57
Two letters picked without replacement from mmzmmmzm. Give prob of picking 2 m.
15/28
Calculate prob of picking 2 r and 1 n when three letters picked without replacement from {f: 2, l: 5, c: 1, n: 1, h: 2, r: 2}.
1/286
Three letters picked without replacement from {n: 1, g: 1, l: 5, x: 5, w: 1, v: 2}. What is prob of picking 1 v and 2 x?
4/91
Three letters picked without replacement from ffoaooggo. What is prob of picking 1 a, 1 o, and 1 g?
2/21
Calculate prob of picking 4 q when four letters picked without replacement from qmmqqqqmmm.
1/42
Calculate prob of picking 2 p and 2 d when four letters picked without replacement from {n: 5, p: 3, c: 3, x: 2, d: 2}.
1/455
Calculate prob of picking 1 q and 1 u when two letters picked without replacement from uizqzgi.
1/21
Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {g: 4, q: 2}.
8/15
What is prob of picking 1 y and 1 n when two letters picked without replacement from ynynnyy?
4/7
Calculate prob of picking 3 c when three letters picked without replacement from cdclsllsscdldcccldl.
20/969
Two letters picked without replacement from eggkggygy. What is prob of picking 1 k and 1 e?
1/36
What is prob of picking 1 n and 2 o when three letters picked without replacement from {o: 3, d: 3, n: 1}?
3/35
Four letters picked without replacement from {i: 12, c: 6}. Give prob of picking 1 i and 3 c.
4/51
Three letters picked without replacement from bdzbzszzozzoszhbb. Give prob of picking 1 o, 1 b, and 1 z.
7/85
Two letters picked without replacement from eaeeaeeeaeesa. What is prob of picking 1 a and 1 s?
2/39
Calculate prob of picking 2 e when two letters picked without replacement from eea.
1/3
What is prob of picking 1 h and 1 f when two letters picked without replacement from {f: 3, e: 5, a: 1, h: 3, g: 1, v: 1}?
9/91
Two letters picked without replacement from {x: 2, j: 4, t: 1, f: 1, m: 2, v: 4}. Give prob of picking 1 t and 1 j.
4/91
Calculate prob of picking 2 y and 1 u when three letters picked without replacement from yggugyyyuy.
1/6
Calculate prob of picking 2 i when two letters picked without replacement from {a: 2, i: 2, o: 8, v: 4}.
1/120
What is prob of picking 1 x and 1 c when two letters picked without replacement from {c: 1, p: 2, x: 3, t: 1}?
1/7
Four letters picked without replacement from {a: 4, z: 4, o: 1, l: 1, b: 3, i: 6}. Give prob of picking 1 l, 1 b, 1 i, and 1 a.
6/323
Three letters picked without replacement from {b: 1, f: 3, g: 3}. Give prob of picking 1 g and 2 b.
0
Calculate prob of picking 2 n when two letters picked without replacement from {k: 2, n: 2, y: 2}.
1/15
Three letters picked without replacement from ttwzctttvcvttt. What is prob of picking 1 t and 2 c?
2/91
Four letters picked without replacement from {r: 1, w: 1, l: 2, t: 3}. Give prob of picking 3 t and 1 l.
2/35
Three letters picked without replacement from {d: 1, e: 1, f: 1, y: 2, r: 1, w: 2}. What is prob of picking 1 r, 1 w, and 1 d?
1/28
Calculate prob of picking 1 y and 2 t when three letters picked without replacement from {w: 2, t: 8, y: 4}.
4/13
Two letters picked without replacement from jkykkep. Give prob of picking 1 j and 1 e.
1/21
Two letters picked without replacement from {p: 8, d: 3, j: 1, x: 3, k: 3}. What is prob of picking 1 j and 1 x?
1/51
Three letters picked without replacement from tddtdtdttd. What is prob of picking 3 t?
1/12
What is prob of picking 1 m and 1 y when two letters picked without replacement from cnmhymss?
1/14
Calculate prob of picking 2 v and 1 z when three letters picked without replacement from vzvzvzvvvvvvvv.
165/364
Four letters picked without replacement from jssxmqjqksq. Give prob of picking 1 m and 3 s.
1/330
What is prob of picking 1 w, 1 v, and 1 t when three letters picked without replacement from rptvpvtrpvtpzpzwvp?
1/68
What is prob of picking 3 g when three letters picked without replacement from {g: 3, b: 9}?
1/220
Four letters picked without replacement from {n: 3, u: 5, b: 2, q: 3}. What is prob of picking 3 n and 1 u?
1/143
Calculate prob of picking 3 a and 1 c when four letters picked without replacement from ccnaaynndnna.
2/495
Four letters picked without replacement from {z: 7, x: 3, b: 9}. What is prob of picking 4 b?
21/646
Four letters picked without replacement from pzphpiiipfphihih. What is prob of picking 1 f, 1 z, and 2 h?
3/910
Four letters picked without replacement from {f: 5, h: 5, i: 4}. Give prob of picking 3 i and 1 f.
20/1001
Four letters picked without replacement from {f: 8, h: 2, c: 1, p: 1, r: 1, s: 7}. Give prob of picking 1 s, 1 h, 1 r, and 1 p.
14/4845
What is prob of picking 1 g, 1 z, and 1 t when three letters picked without replacement from zagysgyytagyzgg?
2/91
Two letters picked without replacement from eesseeeeseesseeeeee. Give prob of picking 1 e and 1 s.
70/171
Three letters picked without replacement from wmdqdwmqdwmqqmwq. What is prob of picking 2 m and 1 w?
3/70
Calculate prob of picking 1 n, 1 s, and 1 u when three letters picked without replacement from {n: 1, u: 1, s: 1, d: 1, c: 1}.
1/10
What is prob of picking 1 w, 2 t, and 1 a when four letters picked without replacement from {t: 3, a: 1, w: 7, y: 3}?
3/143
What is prob of picking 2 q when two letters picked without replacement from {p: 2, n: 6, x: 1, q: 5, a: 1, h: 1}?
1/12
Four letters picked without replacement from cjrboobbbcorqjj. Give prob of picking 1 o, 1 c, 1 b, and 1 j.
24/455
What is prob of picking 1 v and 2 a when three letters picked without replacement from avvvvvvva?
1/12
What is prob of picking 3 s and 1 t when four letters picked without replacement from {t: 2, s: 18}?
32/95
Three letters picked without replacement from {b: 4, l: 8, j: 5}. What is prob of picking 3 j?
1/68
Calculate prob of picking 3 z when three letters picked without replacement from {z: 5}.
1
Calculate prob of picking 1 w, 1 b, and 2 l when four letters picked without replacement from {m: 3, w: 3, b: 1, l: 3, s: 1, o: 8}.
3/1292
Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wsjjwjn.
2/21
Four letters picked without replacement from ddfdfdddddddfdfddd. Give prob of picking 2 d and 2 f.
91/510
Three letters picked without replacement from {h: 2, o: 4, s: 5}. What is prob of picking 2 h and 1 s?
1/33
Two letters picked without replacement from vvivvvivvivv. Give prob of picking 2 v.
6/11
What is prob of picking 1 o and 1 h when two letters picked without replacement from orh?
1/3
Three letters picked without replacement from boygn. Give prob of picking 1 y, 1 o, and 1 g.
1/10
Four letters picked without replacement from {c: 2, z: 10, s: 2, a: 1, d: 2, e: 3}. What is prob of picking 2 c, 1 a, and 1 e?
1/1615
What is prob of picking 2 u
|
{
"pile_set_name": "DM Mathematics"
}
|
/11
a
What is the nearest to 6/11 in 3/8, -25, 0.14, 1/3?
3/8
What is the nearest to -0.01 in 0.4, -0.3, 1/2, -7/115?
-7/115
What is the nearest to -0.3 in -0.5, 4/3, 2/13, 1/153, 5/2?
-0.5
What is the nearest to 0.1 in -5/6, 5, 13, 9, 8?
-5/6
What is the closest to 4/9 in 5, 48/17, 2?
2
Which is the closest to 2? (a) 1 (b) 0.2 (c) -0.052 (d) -0.06 (e) 20
a
What is the closest to -4 in -0.3, 0.2, -0.042, 9?
-0.3
What is the closest to 2 in 0.1, 0.4, 22, 2, 3?
2
What is the nearest to 1 in 4.36, -0.1, 209?
-0.1
What is the nearest to -3 in -13, -0.3, -0.28, -0.03, 4?
-0.3
Which is the nearest to 1? (a) 2/1425 (b) 0.4 (c) 2/11
b
Which is the closest to 0.1? (a) 0.5 (b) 0.2 (c) -6 (d) 251 (e) 6
b
Which is the closest to 0.2? (a) -0.11 (b) 4 (c) -4/5 (d) -3
a
Which is the nearest to -19062? (a) 1 (b) -1/2 (c) 0 (d) -1/6
b
Which is the nearest to 1? (a) 26.5 (b) -0.1 (c) -191 (d) -1/3
b
Which is the nearest to 2/9? (a) -0.05 (b) 2/37 (c) -0.066 (d) -4/5
b
What is the nearest to -0.7 in -3/7, 4, -2187?
-3/7
What is the nearest to -0.3 in -1/12, 2/11, -25310, -0.1?
-0.1
Which is the nearest to 75? (a) -0.003 (b) 0.4 (c) -66 (d) -1/6
b
What is the nearest to -1 in -8, -0.011, 2.67?
-0.011
Which is the nearest to 1? (a) 5 (b) -0.2 (c) -5 (d) -1 (e) -124.93
b
What is the closest to 0.77 in 3, -14, -0.06?
-0.06
What is the closest to -1 in -0.3, 67, 1/8, 2/117, 0.4?
-0.3
What is the closest to -2 in 2/3, 10, -2/5?
-2/5
Which is the nearest to 0.1? (a) 4 (b) -0.4 (c) -13.8 (d) 0.0066
d
What is the closest to 361 in 2/69, -1/3, -1?
2/69
Which is the nearest to -89? (a) 0 (b) 3/4 (c) 3 (d) -4/11 (e) 4
d
Which is the nearest to 0.1? (a) -35 (b) -1/10 (c) -198
b
Which is the closest to -1/2? (a) 7 (b) 1/5 (c) -3 (d) -0.2
d
What is the nearest to 5 in -3, -4, 105, 9, -1?
9
Which is the closest to 1/3? (a) 1.5 (b) -2 (c) -4/25 (d) -1
c
What is the closest to 0 in 10/7, 0.06, -2/17, -94, -1?
0.06
What is the closest to -2/7 in 3, -130, -0.11?
-0.11
What is the closest to -0.2 in -6, -5, -0.3, -0.095?
-0.3
What is the closest to 104/5 in 0.1, -4, 1, -1, -0.2?
1
Which is the closest to 1? (a) -3 (b) 0.5 (c) 0.3 (d) -238/23
b
Which is the closest to 6? (a) -1 (b) -0.6 (c) 90
b
What is the nearest to -0.0889 in -3, -5, 25?
-3
Which is the closest to -6/7? (a) 4011 (b) -2 (c) 2/13
c
Which is the closest to -2/3? (a) 0.7 (b) 3/2 (c) 1/11 (d) 0.3 (e) 0
e
Which is the closest to 4? (a) -3 (b) -4 (c) 5/6 (d) -0.24 (e) 2/15
c
Which is the closest to -32? (a) 1 (b) 1/2 (c) -6866 (d) 0.4
d
Which is the closest to 166? (a) 0.5 (b) 0.06 (c) -5 (d) -0.2
a
What is the nearest to 2/7 in -6, 0.01, -4/3, -2, 0.4?
0.4
Which is the nearest to 1? (a) 61 (b) 1 (c) 5 (d) 284
b
Which is the closest to 7? (a) -2/3 (b) 0.2 (c) 29.6
b
Which is the closest to 0.11? (a) -2 (b) -28 (c) -0.35
c
Which is the closest to -2? (a) 669 (b) -3 (c) 4 (d) 0.4 (e) -0.05
b
Which is the nearest to -1/4? (a) 2022 (b) 0 (c) -5 (d) 3 (e) -2/11
e
What is the closest to -1 in 205, -0.5, 1/3, 9/16?
-0.5
Which is the nearest to 2? (a) -0.094 (b) 4 (c) -3 (d) -5
b
Which is the nearest to -1/4? (a) 2 (b) 8/7 (c) -36 (d) -9
b
What is the closest to 36 in -26, 2, 0.5?
2
What is the closest to 1/2 in 1/4, -3, 0.05, -6/7, -12?
1/4
What is the nearest to -0.1 in 5, 0.1, -1, -62/39?
0.1
What is the closest to 0 in 6, -2, 0.2, 156?
0.2
What is the nearest to 965/2 in 4, 1/6, -1/6, -10?
4
Which is the nearest to -1/2? (a) -0.6 (b) 0.1341 (c) -0.2 (d) 0.3 (e) 2
a
Which is the nearest to 0.3? (a) -2 (b) -16 (c) -151
a
What is the nearest to 9.53 in 1, 0.4, -67/3?
1
What is the closest to 2 in 0.4, 236, 12, -3?
0.4
Which is the nearest to -1? (a) 2/7 (b) -0.25 (c) -13.1 (d) 2/15 (e) -0.12
b
Which is the nearest to -0.2? (a) -5 (b) 2 (c) 2.7 (d) 4 (e) -2
e
Which is the closest to 0.5? (a) -0.5 (b) 0.3 (c) 5 (d) 2/15 (e) -281/8
b
What is the closest to -2/5 in 6/13, 1/7, -522?
1/7
What is the closest to 0 in -0.5, -1, -13, -2/29?
-2/29
Which is the nearest to -2/9? (a) 0.049 (b) 2/33 (c) -5
a
What is the nearest to 10 in 41, 0.2, 9?
9
Which is the nearest to -1.6? (a) 4 (b) -339 (c) 1 (d) -4
d
What is the nearest to -9 in 0.5, 36, -3/5, 9?
-3/5
Which is the nearest to -6? (a) -1728 (b) 4 (c) 0.4
c
What is the nearest to -3 in -0.2, -5, -55, 14, 1/5?
-5
What is the closest to -40 in 29.5, -5, 4?
-5
What is the nearest to 15/221 in -22/9, -0.5, -2?
-0.5
What is the closest to 2/3 in -17, -57, -2?
-2
Which is the nearest to 3? (a) 1/3 (b) 10 (c) 4.7
c
What is the closest to 12 in 7/9, -0.2, -0.3?
7/9
What is the closest to -1/4 in 4, 2/15, 838, 5?
2/15
Which is the closest to -1/2? (a) -72 (b) -1 (c) -5
b
What is the closest to 1 in -5, -2, 11545?
-2
Which is the closest to -0.1? (a) -0.4 (b) -0.01 (c) 162.5 (d) 3 (e) 2/13
b
Which is the closest to -2? (a) 15.3 (b) 1/5 (c) -343
b
Which is the closest to 2/7? (a) -438 (b) -4 (c) 0.2 (d) 0
c
What is the nearest to -3/32 in 246, -3, -1/4, 0.2, 3?
-1/4
Which is the closest to 0? (a) 5 (b) 0.4 (c) -5/2 (d) -0.125
d
What is the closest to 0 in 6, 0.3, 9, -0.5?
0.3
What is the closest to 92 in -12, 3, -43?
3
What is the closest to 1 in -2, -4, 3, 209690?
3
Which is the closest to 0.0763? (a) 0.2 (b) 2 (c) -10
a
What is the nearest to -396 in -3, -1, 1/3, 0.4, 39?
-3
What is the nearest to -0.4 in 10, 0.1, 661?
0.1
Which is the nearest to 2/3? (a) 0.7 (b) -0.1 (c) -32 (d) -1 (e) -2
a
What is the nearest to 7.926 in -1/2, -1, -5, 5?
5
Which is the closest to 3/5? (a) 1/3 (b) -6 (c) 1 (d) 4/3 (e) -0.4
a
What is the nearest to 2/7 in -1/5, 0.017575, 4?
0.017575
What is the closest to 4/7 in -597/43, 2, -2, -1, -0.2?
-0.2
Which is the nearest to -3.4? (a) 107/3 (b) 0.08 (c) -4/3 (d) 1
c
Which is the closest to 85320? (a) 3 (b) 2 (c) -5 (d) 5
d
Which is the nearest to -11/3? (a) -2/9 (b) 1/10 (c) -2/19 (d) 0.26 (e) 23
a
What is the closest to 1.3 in -5/6, 0.08, 0.05?
0.08
What is the nearest to 1665 in 2/9, -0.3, -1/5, -0.5?
2/9
What is the closest to -0.2 in 0, -1, 48, 4?
0
Which is the closest to -1/69? (a) -4 (b) 1 (c) -154 (d) -1/2
d
Which is the closest to -3? (a) 0.3 (b) -0.2 (c) 0.2 (d) 0.1 (e) 7.21
b
What is the nearest to 1 in 161, -3, 0.22, 0.4?
0.4
What is the nearest to -1/3 in -3/19, 0, 2/123, 2?
-3/19
Which is the nearest to 0? (a) -5/3 (b) -188/7 (c) 1
c
What is the nearest to 1.1 in -68, 2, 3?
2
What is the closest to -1/3 in -1/14, 1/5, -737, -2?
-1/14
Which is the nearest to -2/5? (a) -2 (b) 35/2071 (c) -1/8
c
What is the closest to 191.8 in 5, -5, 4/9?
5
What is the closest to -2 in 1/72, 0, 0.01?
0
What is the nearest to -2/5 in -3, 0.0403, -0.1, 3/4?
-0.1
What is the closest to -1 in -4, 1.86, 0.2, -2/15?
-2/15
What is the nearest to 2/7 in -0.2, 2619, -19/3?
-0.2
What is the nearest to 6 in -5, 0.1, -1/8, -1.1?
0.1
What is the closest to -1 in 0.5, 3/2, -3/97?
-3/97
What is the nearest to -2/3 in -1, -202, 2/11?
-1
What is the nearest to -9 in 0.047, -123, 0, 1/2, -1/3?
-1/3
Which is the nearest to -21? (a) -2/21 (b) 8 (c) -0.06
a
Which is the closest to 1/4? (a) -3 (b) -3427/5 (c) 59
a
Which is the nearest to 0? (a) -1.4 (b) -2 (c) -0.003 (d) -0.2 (e) -0.1
c
Which is the closest to -0.1? (a) -1724 (b) -45 (c) 0.4 (d) 2/15
d
Which is the nearest to -2/15? (a) 11.2 (b) 0.1 (c) -0.5 (d) 2 (e) -7
b
What is the closest to -0.1 in -4, 27, -11/202?
-11/202
Which is the nearest to 2/5? (a) -0.5 (b) 0.1 (c) 5 (d) -3/4 (e) 1/12
b
What is the nearest to 1/836 in -0.005, 0.2, -1, -0.3?
-0.005
What is the nearest to -1.2 in 30, 3, 19/4, 5?
3
Which is the closest to 1227? (a) -1/11 (b) 5 (c) 1/4
b
What is the nearest to -0.1 in -0.5, 2, 1/283, 23?
1/283
What is the nearest to 0 in 1, 0.1, 2315, 2/13, -0.06?
-0.06
Which is the closest to -0.2? (a) -2 (b) -0.055 (c) -2/121
b
Which is the nearest to 1? (a) -0.5 (b) 178 (c) 0.03
c
Which is the closest to 1/3? (a) 0.67 (b) 0.3 (c) 1/4 (d) 3910 (e) 3
b
Which is the nearest to -2? (a) 4 (b) 5 (c) -2843
a
Which is the closest to -2/11? (a) 38/7 (b) -2/3 (c) 0.3 (d) -1.07 (e) 0
e
What
|
{
"pile_set_name": "DM Mathematics"
}
|
de 299082 by 6.
49847
-2412 divided by 134
-18
Divide 70 by -70.
-1
Calculate 75 divided by -15.
-5
Calculate -4431 divided by -211.
21
-59 divided by -6
59/6
Divide -9057 by -1.
9057
-430 divided by 4
-215/2
Calculate -244 divided by -9.
244/9
Calculate 575 divided by 5.
115
What is 32 divided by -32?
-1
Calculate -720 divided by -180.
4
What is 1260 divided by 21?
60
-5 divided by 354
-5/354
Calculate -140 divided by -5.
28
What is -245 divided by 4?
-245/4
Divide -490 by -7.
70
Divide 30532 by 2.
15266
What is -4 divided by 12?
-1/3
What is 3895 divided by 5?
779
Divide -3132 by -2.
1566
Calculate 2 divided by -4333.
-2/4333
What is -5 divided by 1247?
-5/1247
Calculate -657 divided by -9.
73
80 divided by -1
-80
Calculate 1 divided by -245.
-1/245
3168 divided by -792
-4
What is -5 divided by -3528?
5/3528
Calculate -14886 divided by -9.
1654
Calculate -11 divided by -5.
11/5
Divide -1 by -380.
1/380
Calculate -4660 divided by -233.
20
-6 divided by 18
-1/3
What is -493 divided by 29?
-17
-1028 divided by -257
4
-1160 divided by 290
-4
What is 5400 divided by -1800?
-3
Divide 4 by 209.
4/209
15 divided by -117
-5/39
Calculate -699 divided by -4.
699/4
Divide 2 by -279.
-2/279
Divide -65 by -16.
65/16
Calculate 7 divided by 25.
7/25
Calculate -12204 divided by -1.
12204
572 divided by -52
-11
Calculate 330 divided by 2.
165
What is -110 divided by 55?
-2
Calculate -1076 divided by 4.
-269
What is 279 divided by -5?
-279/5
Calculate 54 divided by -27.
-2
1 divided by -20
-1/20
Divide -18 by 86.
-9/43
Calculate -2119 divided by -4.
2119/4
Divide 572 by -143.
-4
Calculate -91 divided by 1.
-91
What is -660 divided by 3?
-220
Calculate -572 divided by 11.
-52
-13 divided by -21
13/21
What is 16 divided by 8?
2
What is 3662 divided by -3?
-3662/3
Calculate 5 divided by 51.
5/51
10 divided by -1
-10
What is -4812 divided by -1203?
4
What is -315 divided by 7?
-45
Divide 51 by 17.
3
Divide 693 by 3.
231
Calculate 19 divided by -117.
-19/117
Divide -5 by 125.
-1/25
3 divided by 41
3/41
Divide -171580 by 5.
-34316
289 divided by 6
289/6
102 divided by 6
17
-31 divided by -419
31/419
Calculate -183 divided by 3.
-61
Calculate 49 divided by 5.
49/5
What is -6 divided by -3?
2
Divide 258 by 2.
129
-182 divided by 13
-14
What is -159 divided by 6?
-53/2
What is -54 divided by 41?
-54/41
What is 4559 divided by -4559?
-1
Divide 1293 by -1.
-1293
299 divided by -1
-299
Divide -192 by 1.
-192
What is 14190 divided by -2?
-7095
Divide 3 by 85.
3/85
28811 divided by -5
-28811/5
Divide 743 by -2.
-743/2
Calculate -9 divided by 8.
-9/8
Calculate -1164 divided by -3.
388
What is 64 divided by 2?
32
What is -157 divided by -1?
157
Divide -45 by -9.
5
-39 divided by -16
39/16
-488 divided by 6
-244/3
Calculate -504 divided by 504.
-1
Divide 516 by 4.
129
Calculate 390 divided by 6.
65
-41762 divided by 5966
-7
-5 divided by 1237
-5/1237
Divide -8 by 238.
-4/119
Divide 1 by 277.
1/277
Divide -30 by 5.
-6
What is 14496 divided by -3624?
-4
Divide 17 by -30.
-17/30
Divide 0 by -615.
0
-60 divided by 15
-4
What is 2164 divided by -2?
-1082
What is 219 divided by 4?
219/4
What is 207 divided by -3?
-69
1025 divided by -205
-5
-1 divided by -1247
1/1247
Divide -4683 by 5.
-4683/5
What is -2 divided by -978?
1/489
Calculate 168 divided by 21.
8
What is -164 divided by -5?
164/5
What is -3160 divided by 20?
-158
What is 3024 divided by 4?
756
-71 divided by -22
71/22
Calculate -46 divided by 81.
-46/81
What is -22 divided by -5?
22/5
Divide -684 by 4.
-171
Divide 0 by -189.
0
Calculate -1000 divided by -20.
50
Calculate 12 divided by 10.
6/5
-258 divided by 86
-3
What is 3 divided by -708?
-1/236
Calculate 172 divided by -4.
-43
Divide 16974 by 5658.
3
Calculate 2836 divided by 709.
4
-8 divided by -32
1/4
What is 1200 divided by -48?
-25
Divide -9 by 339.
-3/113
Divide 43 by 10.
43/10
Divide 90 by -1.
-90
346 divided by -4
-173/2
10370 divided by 61
170
What is -622 divided by -5?
622/5
Calculate 10 divided by -374.
-5/187
What is -5508 divided by 6?
-918
Calculate 68 divided by 17.
4
-5 divided by 63
-5/63
25 divided by -2
-25/2
Divide 361 by -14.
-361/14
-108 divided by 17
-108/17
Divide -2 by 1125.
-2/1125
-120 divided by -24
5
Divide 2534 by -4.
-1267/2
109 divided by 109
1
What is -60 divided by -20?
3
What is 510 divided by 6?
85
Calculate 644 divided by 3.
644/3
Calculate 504 divided by -36.
-14
Divide 17316 by 74.
234
What is 0 divided by 118?
0
Calculate -6294 divided by 3.
-2098
Divide 2234 by 3.
2234/3
418 divided by 209
2
What is 7 divided by 59?
7/59
What is -4 divided by 100?
-1/25
What is 2870 divided by 5?
574
What is -432 divided by 24?
-18
Divide 80 by -10.
-8
Calculate 938 divided by -4.
-469/2
0 divided by 101
0
Calculate 0 divided by -4.
0
Calculate -13964 divided by 2.
-6982
Divide 1040 by 130.
8
What is 282 divided by -6?
-47
Calculate 466 divided by -1.
-466
Divide -2883 by 961.
-3
16 divided by -29
-16/29
Calculate -3 divided by -110.
3/110
Calculate -1690 divided by -4.
845/2
What is -55 divided by -5?
11
Calculate 4 divided by 6789.
4/6789
What is 468 divided by 18?
26
Calculate 16 divided by 677.
16/677
-5170 divided by 1034
-5
Divide 2151 by -717.
-3
What is 12840 divided by 2?
6420
What is -96 divided by 4?
-24
Calculate 4422 divided by -201.
-22
Calculate 9729 divided by 3243.
3
What is -4760 divided by -136?
35
What is 725 divided by -5?
-145
2414 divided by 17
142
-1 divided by 3529
-1/3529
Calculate 246 divided by 82.
3
What is -1 divided by -526?
1/526
Calculate 0 divided by 23.
0
Calculate -110 divided by -11.
10
What is 4208 divided by 5?
4208/5
Divide -5355 by 1071.
-5
234 divided by -117
-2
What is -2 divided by -279?
2/279
Divide -2202 by 734.
-3
Calculate 1104 divided by -6.
-184
Divide 165 by -33.
-5
What is -32 divided by -8?
4
Calculate 5164 divided by -6.
-2582/3
Calculate -644 divided by 12.
-161/3
1565 divided by -1
-1565
-28740 divided by -4
7185
-1 divided by 37
-1/37
Divide 5 by 510.
1/102
72 divided by -14
-36/7
Divide 61128 by 6.
10188
What is -2 divided by -34?
1/17
-115 divided by 1
-115
Calculate 0 divided by -3019.
0
What is 631 divided by 15?
631/15
Divide 25424 by -2.
-12712
What is -3629 divided by 5?
-3629/5
12 divided by 4
3
-628 divided by 15
-628/15
What is 6 divided by 1345?
6/1345
Calculate 243 divided by 5.
243/5
What is 5695 divided by 1?
5695
2 divided by 1
2
What is 3 divided by 165?
1/55
Calculate -54 divided by 19.
-54/19
-600 divided by -6
100
Calculate 10752 divided by -6.
-1792
19872 divided by 3
6624
Divide -914 by 11.
-914/11
What is 60 divided by 3?
20
Divide 18792 by 116.
162
Calculate 1680 divided by 84.
20
Divide 264 by 66.
4
49 divided by -7
-7
What is 17644 divided by 44?
401
Divide -3 by -221.
3/221
Divide 54 by -6.
-9
-153 divided by -1
153
What is 11030 divided by 5?
2206
-16 divided by 3
-16/3
-851 divided by 23
-37
1605 divided by -1605
-1
25 divided by 2
25/2
26262 divided by -3
-8754
What is 3 divided by -5517?
-1/1839
What is 66 divided by 5?
66/5
Calculate 3 divided by 2211.
1/737
Calculate 20 divided by 2.
10
Calculate 3 divided by 2164.
3/2164
Calculate 129 divided by -1.
-129
Divide 5502 by -262.
-21
Calculate -4068 divided by -6.
678
Divide 864 by -36.
-24
Divide -66 by -22.
3
Divide -2 by -12.
1/6
0 divided by -74
0
21975 divided by 6
7325/2
Calculate 92 divided by 15.
92/15
-2 divided by -128
1/64
What is 303 divided by -4?
-303/4
149 divided by -149
-1
-6 divided by 25
-6/25
What is 1668 divided by 6?
278
-7644 divided by -2
3822
Calculate -4530 divided by -15.
302
Divide -6328 by 452.
-14
Calculate -5694 divided by -6.
949
Calculate -1190 divided by -14.
85
Calculate 28824 divided by -3.
-9608
Divide -3104 by -16.
194
Calculate -144 divided by -20.
36/5
2 divided by 27
2/27
What is 200 divided by -50?
-4
What is 1880 divided by -1?
-1880
Divide -3 by 6690.
-1/2230
What is -20264 divided by 136?
-149
-2 divided by 190
-1/95
What is -23476 divided by 5869?
-4
What is 16944 divided by -4236?
-4
-5066 divided by -2
2533
Calculate 0 divided by 298.
0
What is -17295 divided by -3459?
5
What is 459 divided by 153?
3
Divide 27 by -5.
-27/5
Divide -4 by 70.
-2/35
What is -11 divided by -4?
11/4
Calculate 34 divided by -3.
-34/3
What is -196 divided by 1?
-196
What is -14 divid
|
{
"pile_set_name": "DM Mathematics"
}
|
3*i - 16. Let s(w) = 2*o(w) - 3*r(w). Let b(d) = -2*d. Give b(s(m)).
2*m**2 - 32
Let c(y) = 3*y. Let s(m) = -34398*m**2 - 4*m. Calculate c(s(b)).
-103194*b**2 - 12*b
Let c(n) = -174*n. Let l(q) = q**2 + 6*q - 21. Calculate c(l(w)).
-174*w**2 - 1044*w + 3654
Let h(b) = 54*b. Let t(a) be the third derivative of -a**4/8 + 43*a**2 + a. What is h(t(q))?
-162*q
Let i(f) = -24440*f. Let a(v) = -110*v. Determine a(i(h)).
2688400*h
Let f(h) = -2*h**2. Let g(w) = 4*w - 2*w - 87*w**2 + 52*w**2 - 2*w. Determine g(f(d)).
-140*d**4
Suppose 4 = 2*p - 5*t, 5*p = 2*t - 4*t + 10. Let n be (-740)/(-8)*(-8)/(-10). Let u(k) = -n + p*k + 74. Let r(h) = 2*h. What is u(r(d))?
4*d
Let j(k) = 143*k**2 - 65*k. Let w(f) = 9*f**2 - 4*f. Let o be (36/(-30))/((-21)/30 - -1). Let d(a) = o*j(a) + 65*w(a). Let m(t) = 2*t**2. What is m(d(u))?
338*u**4
Let n(f) = -21*f**2. Let i(u) = u + 42. Let w(l) = 3*l + 77. Let o(j) = -11*i(j) + 6*w(j). Determine n(o(a)).
-1029*a**2
Let v(r) = 3*r. Let b(p) be the first derivative of -8/3*p**3 + 0*p**2 + 14 + 0*p. Calculate v(b(u)).
-24*u**2
Let t(c) = c**2 + c - 2. Let l(a) = 2*a - 4. Let k(h) = l(h) - 2*t(h). Let s(m) = 60*m. Determine s(k(o)).
-120*o**2
Let z(t) be the first derivative of -5*t**2 - 3 - t**2 + 5*t**2. Let n(f) = -28*f. What is z(n(h))?
56*h
Let h(d) = -3*d. Let x(c) = c + 3*c - 8*c + 12*c + 6*c. What is h(x(j))?
-42*j
Let k(t) = -2*t. Let x(f) = 218*f + 119. Determine k(x(q)).
-436*q - 238
Suppose l + 1 = -k + 3*l, -2*k = 3*l - 5. Let f(n) = 6*n**2 - n + 1. Let s(d) = d**2 - d + 1. Let c(u) = k*s(u) - f(u). Let j(o) = -o. Give j(c(y)).
5*y**2
Let y(f) = -72*f**2 - 2. Let k(i) = 6*i - 3. What is k(y(j))?
-432*j**2 - 15
Let u(m) = -4*m + 1. Let x(h) = -2460*h**2. Determine x(u(s)).
-39360*s**2 + 19680*s - 2460
Let y(m) be the first derivative of -m**2/2 - 7. Let l(n) = 12*n**2 - 3. Let z(w) = 23*w**2 - 5. Let k(r) = 5*l(r) - 3*z(r). What is y(k(p))?
9*p**2
Let z(n) = 5*n**2. Let w be (12 - 10)*(-22)/(-4). Let y(a) = w*a - 8 - 9 + 17. What is y(z(o))?
55*o**2
Let o(x) = 202*x. Let q(b) = -90*b. Calculate q(o(p)).
-18180*p
Let b(l) = -64*l - 5. Let o(h) = 580*h + 45. Let i(j) = 18*b(j) + 2*o(j). Let z(y) = -5*y**2. Let p(a) = -a**2. Let g(v) = -9*p(v) + 2*z(v). Calculate i(g(x)).
-8*x**2
Let c(d) = 2*d**2. Let j(u) = u + 3. Let g be j(0). Let b be 12/90 - 2/15. Let p(q) = b*q**2 + g*q**2 - 4*q**2. Determine p(c(y)).
-4*y**4
Let c(j) = 5*j + 3*j - 4*j. Let z(u) be the first derivative of -u**6/180 - 6*u**3 + 21. Let d(t) be the third derivative of z(t). Determine d(c(r)).
-32*r**2
Let k(h) = -3*h**2 + 2*h. Let u(f) = 21*f**2 - 15*f. Let y(x) = -15*k(x) - 2*u(x). Let g(r) = 12*r**2. Determine y(g(o)).
432*o**4
Let f(o) = -3*o**2 - 20*o + 38*o - 12*o - 6*o. Let b(m) = 52*m**2. Calculate f(b(k)).
-8112*k**4
Let b(h) = 3*h**2. Let p(j) = 12 - 21 + 9 - 24*j. Give p(b(c)).
-72*c**2
Let u(s) = 6*s**2. Let b(l) = 26*l - 26*l - 5*l**2. Give u(b(d)).
150*d**4
Let w(v) = -2*v**2. Let t(d) be the second derivative of 62*d**3 - 114*d. Calculate w(t(g)).
-276768*g**2
Let q(u) = -2*u**2 - u + 498. Let a(g) = 9*g. Give q(a(j)).
-162*j**2 - 9*j + 498
Let j(n) = 5*n. Let p(l) = 2*l + 604911. Determine j(p(o)).
10*o + 3024555
Let b(g) = 4*g**2. Let r(j) be the third derivative of -j**5/4 - 68*j**2 - 2. What is r(b(y))?
-240*y**4
Let t(b) = -8361*b**2 - 162*b. Let i(a) = -209*a**2 - 4*a. Let c(v) = -81*i(v) + 2*t(v). Let f(m) = m. Give f(c(x)).
207*x**2
Suppose 3*c - 3 = -m, -m - 5*c - 2 + 5 = 0. Suppose 21 = m*v - 0. Let w(x) = -5*x + 3*x + v*x. Let n(z) = 2*z. What is n(w(r))?
10*r
Let c(v) be the first derivative of 0*v - 7/2*v**2 - 40. Let s(f) = -8*f. Give s(c(z)).
56*z
Let u(m) = 11*m. Let y(x) be the third derivative of -11*x**4/24 + 32*x**2. Let g(f) = -3*u(f) - 2*y(f). Let o(h) = -4*h**2. What is g(o(p))?
44*p**2
Let u(p) = -3*p. Let h(r) = 2*r**2 + r - 8. Let s be h(6). Let k be 1/(-2) + s/4. Let w(j) = -3*j - 17 + 5*j + k. What is w(u(v))?
-6*v
Let j(k) = 3*k**2. Let y = -34 - -56. Let i(w) = -10*w**2 + 11*w - 11. Let x(h) = -h**2 + h - 1. Suppose u = 68 - 70. Let f(g) = u*i(g) + y*x(g). Give j(f(o)).
12*o**4
Let d(p) = 4*p. Let j(x) be the first derivative of x**2 + 89*x - 55. Determine d(j(o)).
8*o + 356
Let x(o) = 676*o + 681*o - 1359*o. Let m(g) be the first derivative of 5*g**4/6 - g**2 - 3. Let d(q) be the second derivative of m(q). Determine x(d(h)).
-40*h
Let y = -7 + 9. Suppose 3*d - 12 = y*w, 14 = 2*d + 2*d - 2*w. Let q(b) = -d - 2*b - 2 + 4. Let i(t) = 2*t. Calculate i(q(x)).
-4*x
Let d(p) = -2*p**2. Suppose -8 = 5*v + 4*c, 5*v - 5*c + 5 = 15. Let y(s) = 24*s**2 - 5*s**2 + v*s**2. Calculate d(y(t)).
-722*t**4
Let j = -50 - -72. Let p(a) = -j - a + 22. Let i(r) = 10*r**2. What is p(i(q))?
-10*q**2
Let s(p) = 65*p**2. Let y(w) = -23*w + 18. Let u(c) = -5*c + 4. Let f(n) = -9*u(n) + 2*y(n). Give s(f(b)).
65*b**2
Let a(v) = -6*v. Let r(l) = -56*l**2 + l + 42. What is a(r(b))?
336*b**2 - 6*b - 252
Let x(b) = 3*b**3 - 2*b**2 + b. Let q be x(1). Let y(m) = -7 - 1 + 8 - q*m**2. Let f(p) be the second derivative of p**3/6 + p. Calculate y(f(r)).
-2*r**2
Let t(k) = 2 + 464*k**2 - 475*k**2 - 2. Let v(i) be the first derivative of -i**3 - 32. Give t(v(x)).
-99*x**4
Let a(i) = -2*i + 2409 - 2409. Let q(o) = -2*o**2 + 542. Determine q(a(s)).
-8*s**2 + 542
Let h(n) = -201*n. Let g(v) be the third derivative of -v**4/6 + 24*v**2 - 13*v. Calculate g(h(p)).
804*p
Let g(q) = -12*q - 10. Let v(d) = -d**3 - 12*d**2 - 27*d + 3. Let m be v(-9). Let i(y) = -y - 1. Let k(l) = m*g(l) - 30*i(l). Let n(w) = -2*w**2. Give k(n(x)).
12*x**2
Let d(z) = -2*z. Suppose -5*r + 46 = 3*k - 0*r, k - 3*r + 8 = 0. Let g(t) = 12*t - 3*t - 5*t - k*t. Calculate d(g(c)).
6*c
Let g = 119 - 115. Let h(d) = -4*d**2 - g*d**2 - 2*d**2 + 11*d**2. Let m(x) = -29*x. Calculate m(h(k)).
-29*k**2
Let t(h) = 3*h**2 + 645*h + 3. Let y(s) = -2*s**2. What is t(y(p))?
12*p**4 - 1290*p**2 + 3
Let q(y) = -3 + 0*y + y + 3 + y**2 - 3. Let f be q(-3). Let j(l) = 6*l + 3 - f + 0*l. Let n(a) = -a. Calculate n(j(z)).
-6*z
Let x(g) = 3*g**2. Let m be 168/42 - (3 + 1). Let w(n) be the third derivative of 0 + 2*n**2 + 0*n**4 + 0*n + m*n**3 + 1/30*n**5. What is w(x(a))?
18*a**4
Let b(l) = -l**2. Let r(c) = -2*c**2 + 3. Let d(f) be the third derivative of f**5/12 - 5*f**3/6 + 26*f**2. Let k(s) = -3*d(s) - 5*r(s). What is k(b(i))?
-5*i**4
Let p(u) = 10*u**2. Let c(d) be the second derivative of d**4/12 - 37*d**2/2 - 26*d. Let o(w) be the first derivative of c(w). Give o(p(z)).
20*z**2
Let a(h) = 2*h - 14. Let n(j) = -62*j - 19. Give a(n(m)).
-124*m - 52
Let h(x) = 32*x + 14. Let i(p) = 7*p + 3. Let o(c) = -3*h(c) + 14*i(c). Let s(a) be the first derivative of -2*a**2 - 7*a + 1. What is s(o(t))?
-8*t - 7
Let h(z) = 12 + 2687*z**2 - 2705*z**2 - 12. Let w(u) = 7*u**2. Determine w(h(b)).
2268*b**4
Suppose 4*g + h + 42 = 0, 6*g - 5*h = 2*g - 30. Let p(f) = f**2 + 11*f + 14. Let w be p(g). Let a(t) = -3*t + t + 0*t + w*t. Let d(o) = -o. Calculate a(d(b)).
-2*b
Let i(q) = 36*q**2. Let p(k) = 54*k - 10*k**2 + 28*k + 42*k**2 - 82*k. Determine i(p(o)).
36864*o**4
Let o(t) = -3*t**2 - 73299*t - 1. Let r(i) = 5*i. Give r(o(n)).
-15*n**2 - 366495*n - 5
Let t(g) = g**2. Let q(u) = 8*u**2 - 3*u. Let k be q(2). Let z be 30/k + (-8)/52. Let p(h) = 3*h + 1 - z + h. Calculate t(p(v)).
16*v**2
Let p(h) = 2*h + 115. Let o(a) = -2*a**2 + 76. Determine o(p(r)).
-8*r**2 - 920*r - 26374
Let j(c) = 7*c**2. Let d(z) be the second derivative of -z**4/4 + 9*z**2/2 - 2*z - 30. Give d(j(u)).
-147*u**4 + 9
Let p(a) = a**2 + a - 1. Let o(z) = 3*z - 45. Let r be o(14). Let i(h) = 5*h**2 + 3*h - 3. Let u(y) = r*p(y) + i(y). Let w(x) = -11*x**2. Give w(u(b)).
-44*b**4
Let u(i) = -28*i. Let d(f) be the third derivative of -1/30*f**5 + 0*f + 0*f**4 + 0*f**3 - 29*f**2 + 0. Calculate d(u(s)).
-1568*s**2
Let w(c) = -5*c**2. Let s(x) = 44*x**2. Suppose -5*p + 312 = p. Let g(i) = p*w(i) + 6*s(i). Let f(h) = -11*h**2. Determine g(f(m)).
484*m**4
Let w(u) = 3*u. Let t(n) be the first derivative of 16*n**3/3 - 69. Calculate w(t(v)).
48*v**2
Let u(j) = -4*j + 5 + 0*j**2 + 0*j**2 + 3*j**2. Let m be u(3). Let l(p) = 20 - m + 2*p**2. Let t(v) = -4*v. Give l(t(s)).
32*s**2
Let a(b) = b + 1211. Let z(t) = 24*t. What is z(a(s))?
24*s + 29064
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
ple of (119 + -406)*(-12)/14 and 5?
1230
Let x = 10 + 62. Suppose -8*n = -10*n + x. Calculate the smallest common multiple of n and (9/(-3))/(3/(-8)).
72
Let a = -265 + 431/2. Calculate the common denominator of a and (-12)/(-54) + 5466/4320.
80
Let g = -99 + 2. Let q = g - -47. What is the common denominator of q and (-6)/(-2)*38/(-66)?
11
Let b(o) = 49*o + 1. Calculate the lowest common multiple of 20 and b(1).
100
Let o = 403 + -339. What is the least common multiple of o and 44?
704
Let g(t) = t**2 + 12*t + 5. Let l be g(-12). Suppose 3*f = -x + l*x + 21, x - 21 = -3*f. What is the common denominator of 41/22 and (f - 9)/(8/13)?
44
Suppose 5*f + 21 = 61. Find the common denominator of (66/f)/(-3) - 45/(-15) and -21/10.
20
Suppose 2*a = -3*a. Suppose 3*j - 5*l - 44 = 0, a = 5*j - 3*l - 52 - 0. Suppose -7*z + j*z = 5. Calculate the smallest common multiple of z and 10.
10
Let d = 1199/13 + -644139/6994. Calculate the common denominator of 68/9 and d.
4842
Suppose 0*h + 40 = 3*h + 2*m, 4 = -h - 5*m. What is the common denominator of -49/18 and 4/(6*h)*(-82 - 0)?
36
Suppose 4*m = 5*i + 23, m - 19 = 4*i - 5. What is the common denominator of 21/4 and (-2)/12 + (-1)/i?
12
Let v be 0 - 2 - (576/(-88) + 7). Let a = v + 328/165. What is the common denominator of 133/12 and a?
60
Let c(x) = -2*x - 1. Let d be c(-2). Let k be 23 - 8 - d*1. Let f = 20 - k. Calculate the smallest common multiple of f and 7.
56
Find the common denominator of ((-35)/(-30))/((-6)/126) and ((-10)/(-16))/(6/(-136)).
6
Let c(o) = -o**3 + 2*o**2 + 19. Let m be c(0). Let g = m - 15. Calculate the common denominator of (5/g)/(12/(-8)) and 3/8.
24
What is the common denominator of ((-730)/(-60))/(89/(-3)) and 49/4?
356
Let p be 639/(-54) - (-2)/(-12). Calculate the lowest common multiple of 1/((-8)/(-50)) - (-3)/p and 40.
120
Find the common denominator of 127/70 and 3 + ((-91)/(-60))/(5/(-15)).
140
Let u be (-8)/((30/12)/5). What is the common denominator of -91/82 and (2 + u/10)/((-64)/2120)?
164
Let o = 4055 - 44646/11. Let d = -94439/14 + 6750. Calculate the common denominator of o and d.
154
Let c be (-4)/(-14) - (-313)/7. Suppose 8*g - 11*g = 12. What is the least common multiple of 2 and g/(-6) + 150/c?
4
Suppose -f - 5*a = 17, -3*f + a + 1 = -12. What is the smallest common multiple of f and 24?
24
Let j(t) = t**2 + 2*t + 1. Calculate the smallest common multiple of j(-5) and 26 + -9 + 5 + 10.
32
Let r(l) = -2*l. Let o be 0*(7/(-2) - -4). Let j be r(o). Suppose j = -7*f + 4*f + 24. Calculate the smallest common multiple of 18 and f.
72
Suppose 5*i - 175 = 5*s, -3*s - 2*s + 15 = 0. Suppose 6*h = 2*h + 64. What is the least common multiple of h and i?
304
Let v = -130345/16 - -8144. Calculate the common denominator of (2/6)/((-20)/81) and v.
80
Suppose 21*y + 11*y = 448. Let n be (-9)/(-4) + 1/(-4). Suppose 8 + 36 = n*a. Calculate the least common multiple of a and y.
154
Let y(z) = -z. Calculate the smallest common multiple of y(-8) and (-18)/(-135) - (-39)/45.
8
Let u(z) = z**2 - 28*z - 8. What is the least common multiple of 20 and u(-8)?
280
Let f(s) = -s**2 + 8*s - 11. What is the least common multiple of 8 and f(3)?
8
What is the common denominator of 14/28*6 - (-466)/(-180) and 29/60?
180
Let s = -19166625315 - -355272566980185/18536. Let d = s + -1/2317. Calculate the common denominator of d and 2/15.
120
Let o(b) = b + 34. Let z be o(0). Suppose f + z = -5*u + 2*f, -4*u - 2*f = 30. Let m(l) = -2*l - 12. Calculate the least common multiple of m(u) and 7.
14
Let t(y) = -18*y - 1. Let b be t(2). Calculate the lowest common multiple of (1/6)/(b/(-1110)) and 67.
335
Let s(d) = d**3 - 5*d**2 - 6*d + 4. Let q be s(6). Suppose 3*x = -3*w + 30, -5*w - 23 + 69 = q*x. Find the common denominator of -9*(0 + (-28)/w) and -43/5.
5
Let f(g) = -g**3 - g**2 + 2*g + 1. Let x be f(-2). Find the common denominator of (-75)/(-8) + x/4 and ((-26)/(-143))/(4/31) - 1.
88
Suppose -9 + 153 = 8*o. Let v(b) be the second derivative of b**4/3 + 3*b. What is the lowest common multiple of o and v(1)?
36
What is the common denominator of 85/32 and (104/(-40))/(23/(-7) - -3)?
160
Let x = 289933035/1114 + -260263. Calculate the common denominator of x and -1/6.
3342
Suppose -5*h + 2 = -3*c - 2, c - 6 = -2*h. Let u be -2 + c - (-66305)/(-40). Let f = -1655 - u. Find the common denominator of 13/10 and f.
40
Let c be (110/30 + 1/3)/(-1). Let j(y) = y**3 + 4*y**2 - 3*y. Calculate the lowest common multiple of j(c) and 86.
516
Suppose -13 = -x - 3*u, x + 5*u = -4*x + 75. Suppose -56 = -5*h - 23*h. Calculate the least common multiple of h and x.
16
Suppose -13*h = -21*h - 32. What is the smallest common multiple of (h + 1)/((-1)/(264/18)) and 16?
176
Suppose -121 = -96*q + 85*q. Let h = -1 - -27. Suppose 2 - h = -4*l. What is the smallest common multiple of l and q?
66
Let l = 1783 - 24987/14. Calculate the common denominator of -7/8 and l.
56
Calculate the common denominator of 49/132 and (-8)/(5184/(-3249)) + 4/9.
264
What is the smallest common multiple of -2*(17 + 3)*(-144)/45 and 40?
640
Let k(y) = -y**3 + 18*y**2 + y. Let r be k(18). Let d = r - 14. Suppose -2*x = -z + 11, -4*z + 5*x - d = -36. Calculate the least common multiple of z and 8.
24
What is the smallest common multiple of (-6 - 712/(-12))*3 and 5?
160
Let n be (6/5)/((-21)/(-70)). Suppose -n*d + 23 - 7 = 0. Let s = d + 2. What is the least common multiple of s and 12?
12
Let i = 975333/88 - 11083. Calculate the common denominator of i and -5/11.
88
Let c = -3/5125 - 743107/30750. Suppose 7*a = 12*a + 10. What is the common denominator of -1*-82*a/(-64) and c?
48
Let p be (-3)/(-2)*(-44)/(-33). Suppose 5*y - p - 168 = 0. Calculate the smallest common multiple of y and 20.
340
Let p(z) = z - 4. Let d be p(8). Let t = 0 - d. Calculate the common denominator of -55/28 and t/((-64)/(-116)) + -1.
28
Let o = 7937/5784 - -2/723. What is the common denominator of o and (-23)/((-4416)/(-810))*4/3?
8
Let x be (0 - 29/1) + -1. Find the common denominator of 121/12 and (29/2)/((-36)/x).
12
Suppose n = 2*n + 4. Let l = 104 + -118. Find the common denominator of 2001/(-168) + n/l and -75/4.
8
Suppose 4*n + r - 125770 = 3*r, 3*r = -5*n + 157240. Let s = n + -1509251/48. What is the common denominator of -69/22 and s?
528
Let k(x) = -x**3 - 8*x**2 + 10*x + 4. Let i be k(-9). Let b be 152544/91 + (i - -2). Let q = -1672 + b. Calculate the common denominator of 19/2 and q.
26
Let s(g) = -g**3 - 7*g**2 - 7*g + 4. Let k be 170/20 + (-2)/(-4). Calculate the least common multiple of s(-6) and (2 - 12/9)*k.
30
Let o(m) = -m**2 + 15*m + 19. Suppose -36 - 188 = -14*i. Calculate the lowest common multiple of o(i) and 42.
42
Let v(d) = -d + 10. Suppose 7*r - 10 = 2*r. Suppose -u = -4*f + 68, 5*f - 7*u = -r*u + 100. What is the lowest common multiple of v(-10) and f?
80
Let m = -21084 + 21090. What is the smallest common multiple of m and ((-18)/(-5))/(3/10)?
12
Let d = 3/98 + 365/882. Let o = -2621 - -10541/4. What is the common denominator of o and d?
36
Suppose -5*u + 24 = -2*u. Calculate the smallest common multiple of u and (3 + (-1 - -2))/1.
8
Let l(a) = -a**3 - 15*a**2 - 13*a + 18. Let p be l(-14). Suppose 2*d + 16 = 3*d + 3*s, -5*s + 50 = p*d. Calculate the lowest common multiple of d and 82.
410
Let m(o) = 13*o. Let h be m(-1). Let d = -5 - h. What is the least common multiple of d and (14/5)/(23/115)?
56
Suppose 4*y = 6 + 22. Suppose -2*z + y - 3 = 0. What is the smallest common multiple of 18 and z?
18
Suppose -5*g + 14 = -12*g. Let q(j) = -4*j + 2*j + j. Calculate the lowest common multiple of q(g) and 14.
14
Suppose -j + 83 = 2*a, 2*j + 5 = 11. Calculate the smallest common multiple of 3 and a.
120
Suppose -177 = -4*j + 639. What is the smallest common multiple of j and 2?
204
Let f = -22 - -28. Suppose f*p + 60 = 11*p. Suppose p*q = 7*q + 10. What is the lowest common multiple of 6 and q?
6
Let z = -76537 - -12858107/168. Calculate the common denominator of -97/120 and z.
840
What is the common denominator of (-10)/26*15/6 and -3 + (4 - 3) - 178/24?
156
Suppose 2*u - 2*n = 4, 6*n - 2*n = -4*u + 40. Let y(g) = -10*g**3 - 130*g**2 - 11*g - 119. What is the lowest common multiple of u and y(-13)?
24
Let j be 85*(-10)/(-175) - 2/(-14). Suppose 0*b
|
{
"pile_set_name": "DM Mathematics"
}
|
2277 - 4877 = 0 for i.
-14
Solve 0 = 14*s - 21666 + 21484 for s.
13
Solve -1150 = 136604*t - 136650*t for t.
25
Solve -204 = 367*q + 530 for q.
-2
Solve 127 = 140*t - 13 for t.
1
Solve 352*b + 6564 = -743*b - 2196 for b.
-8
Solve -9*c - c + 17 = -283 for c.
30
Solve 348 = 46*l - 292 - 280 for l.
20
Solve -5571*z - 134 = -5560*z - 13 for z.
-11
Solve -6*j - 19309 + 19855 = 15*j for j.
26
Solve -75 = -24*u + 261 for u.
14
Solve 526*l = 519*l + 91 + 77 for l.
24
Solve -55 = 15*u - 70*u for u.
1
Solve 0 = -27917*b + 27959*b - 672 for b.
16
Solve 200*l = -35300 + 31300 for l.
-20
Solve 194*q + 73*q - 2376 = 1629 for q.
15
Solve -459*u = -68*u - 7429 for u.
19
Solve -76 = 3*m + 70 - 104 for m.
-14
Solve -78*p - 4160 = 182*p for p.
-16
Solve -17*t + 50 + 134 = 14 for t.
10
Solve 61 + 196 + 259 = -129*v for v.
-4
Solve 67031*l + 112 = 67023*l for l.
-14
Solve -211 = 47*i + 137 - 19 for i.
-7
Solve 33*s + 233 = 148 + 316 for s.
7
Solve 157 - 322 = 12*z - 213 for z.
4
Solve -171*g + 510 + 1542 = 0 for g.
12
Solve 37*j = -6*j + 350 + 166 for j.
12
Solve -9*d - 4*d = 24*d - 259 for d.
7
Solve -26*u - 1108 = -1264 for u.
6
Solve 19 + 1 = -4*i for i.
-5
Solve -206558*l + 206588*l = -510 for l.
-17
Solve -23*w = 2*w + 678 - 128 for w.
-22
Solve 285 = 76*s - 95 for s.
5
Solve 0 = -67*t - 16*t + 19*t for t.
0
Solve 532*t + 2777 = -6230 - 569 for t.
-18
Solve 46*v - 13160 = -13850 for v.
-15
Solve 568*v + 48 - 7844 = 4700 for v.
22
Solve -125*b = 42*b - 2530 + 6204 for b.
-22
Solve -26 = -8*w - 98 for w.
-9
Solve 8*u - 80 = 16*u + 48 for u.
-16
Solve -8*i + 23*i - 40 = 5*i for i.
4
Solve 13*d - 34*d = -2*d - 209 for d.
11
Solve -46*h - 65*h = -3*h - 1080 for h.
10
Solve 492 + 748 = 248*u for u.
5
Solve 0 = 1303786*x - 1303862*x - 152 for x.
-2
Solve -60 = 9497*c - 9473*c + 180 for c.
-10
Solve 18*v + 1692 = -76*v for v.
-18
Solve 34*v - 132 = -52*v - 46*v for v.
1
Solve -377 = 51*z - 98 + 384 for z.
-13
Solve 30*p - 228 = 6*p + 62*p for p.
-6
Solve -193 = -78*x - 1646 - 107 for x.
-20
Solve 34*d = 90*d - 97 - 71 for d.
3
Solve -308*b + 79*b + 4580 = 0 for b.
20
Solve 14*x + 248718 = 248718 for x.
0
Solve -9*w - 3*w - 72 = 6*w for w.
-4
Solve 237 + 709 = 93*y - 263 for y.
13
Solve -30*v = 190*v - 15942 + 21222 for v.
-24
Solve -8*p + 2*p = -23*p + 238 for p.
14
Solve 5*v + 12 - 56 = 71 for v.
23
Solve 57*p + 334 + 557 + 249 = 0 for p.
-20
Solve 26579*i - 90 = 26574*i for i.
18
Solve -62992 + 63032 = 40*h for h.
1
Solve 0 = 148*q - 42*q + 21 - 445 for q.
4
Solve -213*y + 1770 = 4326 for y.
-12
Solve 19*n - 22 - 8 = -11*n for n.
1
Solve 568 - 27 = -29*v + 77 for v.
-16
Solve 550 = 82*d - 516 for d.
13
Solve 265*c = -72*c - 4044 for c.
-12
Solve 71*h - 962 + 2311 = 0 for h.
-19
Solve -261 = -5*n + 3*n + 11*n for n.
-29
Solve -55*q + 250*q + 1392 = 222 for q.
-6
Solve -29*y + 1477 = -240*y for y.
-7
Solve 0 = -830*l + 814*l + 192 for l.
12
Solve 0 = -1721*t + 1726*t - 100 for t.
20
Solve -90*v - 108*v - 240 = -182*v for v.
-15
Solve 78*t + 80*t = 151*t + 112 for t.
16
Solve 62*b + 25*b + 768 = -105*b for b.
-4
Solve 19*r - 298 = -71*r + 152 for r.
5
Solve -7*i + 9*i + 441 = -19*i for i.
-21
Solve 409*k = -441*k + 825*k - 150 for k.
-6
Solve 3616*v - 290 = 3645*v for v.
-10
Solve 0 = -17*y - 119 + 578 for y.
27
Solve -r - 19*r = 14*r - 442 for r.
13
Solve 1010*x - 30447 = -6207 for x.
24
Solve 1065*l - 996*l + 368 = -322 for l.
-10
Solve 219*w - 5372 = -219*w + 2074 for w.
17
Solve -135*o + 41 = -147*o + 149 for o.
9
Solve 54*r = 214 + 542 for r.
14
Solve -10*k - 48 = 22*k - 40*k for k.
6
Solve 252*p - 243*p - 135 = 0 for p.
15
Solve 618*h - 540*h - 312 = 0 for h.
4
Solve 48*r - 675 = -57*r + 795 for r.
14
Solve -45*o - 769 + 229 = 0 for o.
-12
Solve 55*i + 46 = -75 + 11 for i.
-2
Solve 22526 = -1042*k + 644 for k.
-21
Solve 0 = 183*a - 1501 - 2525 for a.
22
Solve 20*a = 102*a - 18 + 756 for a.
-9
Solve 0 = -95*l - 248 - 132 for l.
-4
Solve 0 = -1091*g + 1086*g + 55 for g.
11
Solve 0 = 20326*a - 19589*a - 4422 for a.
6
Solve -276*k - 766 - 3926 = 0 for k.
-17
Solve -193 + 521 = 32*f - 344 for f.
21
Solve 517*c + 517*c + 260 = 1060*c for c.
10
Solve 12679*v = 12695*v - 208 for v.
13
Solve -168*m - 5248 = 160*m for m.
-16
Solve 834*r + 676 = 730*r - 884 for r.
-15
Solve -95 + 255 = 10*d for d.
16
Solve 18*p - 24*p - 64*p = 1050 for p.
-15
Solve -3456 = -136*j - 94*j + 38*j for j.
18
Solve 0 = -49*k - 610 - 76 for k.
-14
Solve -11734*g = -11699*g - 350 for g.
10
Solve -661*l + 662*l + 5 = 0 for l.
-5
Solve -1307 = -143*m - 87 + 3213 for m.
31
Solve 26*u - 30581 = -30737 for u.
-6
Solve -6644 = 529*m - 227*m for m.
-22
Solve 0 = 61*a - 236 - 8 for a.
4
Solve -1326 = 205*o - 96 for o.
-6
Solve -200*j - 4368 = 136*j for j.
-13
Solve 28*g + 299 + 1141 = 73*g for g.
32
Solve -2978 - 1059 = -322*a + 471 for a.
14
Solve -66*t + 2430 = 58*t + 11*t for t.
18
Solve -18*k - 602 = -404 for k.
-11
Solve 1759*y = 1781*y - 88 for y.
4
Solve 38*x - 11046 + 9830 = 0 for x.
32
Solve -8459*n + 8530*n + 598 = -964 for n.
-22
Solve -20*h + 12*h = 31*h - 741 for h.
19
Solve 0 = 19*t + 13705 - 13971 for t.
14
Solve 50*b = 161 + 162 + 227 for b.
11
Solve -447 = -222*o + 1995 for o.
11
Solve 36*a - 129 - 51 = 0 for a.
5
Solve 114*g - 350 + 206 = -1854 for g.
-15
Solve 863*r - 852*r = 88 for r.
8
Solve -13*c + 72 = -4*c for c.
8
Solve 1 - 149 = 13*r + 229 for r.
-29
Solve -v - 2098 + 2104 = 0 for v.
6
Solve 55*t + 125*t - 6300 = 0 for t.
35
Solve 15*p - 33*p = 25*p + 215 for p.
-5
Solve 0 = -3*v - 220 + 235 for v.
5
Solve -79*i - 2279 = -30*i - 711 for i.
-32
Solve 668*m - 1341*m - 10095 = 0 for m.
-15
Solve 152*f = 45*f + 1391 for f.
13
Solve -695 + 643 = 4*y + 9*y for y.
-4
Solve 41*o + 45*o - o - 935 = 0 for o.
11
Solve 30*b + 1398 - 1068 = 0 for b.
-11
Solve 22*m + 10 = -155 - 407 for m.
-26
Solve 358*h = 288*h + 70 for h.
1
Solve 66*g - 1651 = -61*g for g.
13
Solve -18*o + 3*o = -75 for o.
5
Solve 0 = -37*r + 69*r + 139*r + 1197 for r.
-7
Solve -18*j + 643 = 157 for j.
27
Solve 36*w + 5635 - 11790 = -5219 for w.
26
Solve 2*i - 68 = -76 for i.
-4
Solve 104*b + 340 = 127*b - 57*b for b.
-10
Solve -946 - 1442 = 199*o for o.
-12
Solve 19*o + 1297 = 1411 for o.
6
Solve -40*c + 114 = -162*c - 130 for c.
-2
Solve 0 = -118*m + 3433 - 129 for m.
28
Solve 199*h - 65*h + 3350 = 0 for h.
-25
Solve -24*v - 346 = 17*v - 305 for v.
-1
Solve -2015 = 33*b - 1553 for b.
-14
Solve -87*g + 188*g + 638*g + 134*g = 0 for g.
0
Solve -765 = -261*c + 306*c for c.
-17
Solve 0 = 47*k - 253 - 405 for k.
14
Solve 245*v + 5864 = 2422 - 2438 for v.
-24
Solve -20*b + 5490 = 5330 for b.
8
Solve 13*o = -18*o + 11*o - 260 for o.
-13
Solve 19*n + 18 = -11 - 9 for n.
-2
Solve -284 = 161*i + 2292 for i.
-16
Solve -94*s = 17*s + 999 for s.
-9
Solve -5772 = -67*v - 6107 for v.
-5
Solve 0 = -53*p + 19*p - 53*p - 1653 for p.
-19
Solve -2803 = 995*y - 19718 for y.
17
Solve -132*p + 237 + 147 = -180*p for p.
-8
Solve -990*o + 3450 = -2509 - 8891 for o.
15
Solve 340*x - 552 = 128 for x.
2
Solve 8695*u = 8685*u - 130 for u.
-13
Solve -12150*y = -12169*y - 266 for y.
-14
Solve 35*t = -358*t + 1965 for t.
5
Solve 0 = -141*i + 53 + 289 + 222 for i.
4
Solve j + 11*j - 231 = -9*j for j.
11
Solve 26*a - 132 + 87 = 163 for a.
8
Solve 2*m - 34035 + 34063 = 0 for m.
-14
Solve 138*m = 11*m + 749 + 1156 for m.
15
Solve -259*v = -268*v - 45 for v.
-5
Solve 0 = -462*v - 952 + 6958 for v.
13
Solve -520 = 30*l + 2*l - 58*l for l.
20
Solve -30*x - 49564 = -50074 for x.
17
Solve -186*u + 86*u - 1300 = 0 for u.
-13
Solve 849*j - 889*j = 0 for j.
0
Solve 1236*v - 944*v - 6132 = 0 for v.
21
Solve -2*i - 336 + 64 = 32*i for i.
-8
Solve 21*b - 83 = -117 - 155 for b.
-9
Solve 448 = -135*u + 309*u - 142*u for u.
14
Solve -1438 = 78*i - 236 + 982 for i.
-28
Solve -926 - 674 = 100*v - 0*v for v.
-16
Solve 168*a + 745 = -2783 for a.
-21
Solve -192*x + 10 = -194*x for x.
-5
Solve -32*z - 29*z + 62*z - 10 = 0 for z.
10
Solve 504*h + 1482 = 426*h for h.
-19
Solve 630 = 106*i - 397 + 179 for i.
8
Solve -90*u - 144*u = 50*u - 4828 for u.
17
Solve 0 = -55*r + 108*r - 636 for r.
12
Solve 0 = -7*u - 2*u - 618 + 429 for u.
-21
Solve 88*i - 209*i + 610 = -963 for i.
13
Solve 201*b + 507 = 23*b - 1273 for b.
-10
Solve -3115 + 3025 = -15*t for t.
6
Solve 27 - 118 = -2
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-4/7))/(d**(-6)*d)*(d**(-1/2))**37)**(14/5) assuming d is positive.
d**(-153/5)
Simplify (((v*v**9/v)/(v*v**(-5)))/((v*v/v**(-9)*v*v)/((v**(1/8)*v)/v)))**(3/35) assuming v is positive.
v**(3/280)
Simplify (((u**(-3)*u)/(u/u**(-3/7)*u))/(u**(-2)/u**(-2/7)))**33 assuming u is positive.
u**(-627/7)
Simplify v**(-6)/v*v*v**(-3/13)*((v/v**(-5/7)*v)/v)**(20/11) assuming v is positive.
v**(-3117/1001)
Simplify (g/g**(2/5)*g**(-2/9)*(g*g*g**(2/3))**(-45))**(-1) assuming g is positive.
g**(5383/45)
Simplify (x*x/x**(3/10)*x*x/x**(-15))/(x*x**(2/17))**(5/4) assuming x is positive.
x**(5883/340)
Simplify n**(-22)*n**(-1/21)*n**21/(n*n/(n*n**(1/4))) assuming n is positive.
n**(-151/84)
Simplify (i**(-5)*i*i**(1/10))/(i**8/((i/((i*i**(-8)/i)/i))/i)) assuming i is positive.
i**(-29/10)
Simplify (((s**25/s*s)/s)/s**(-24/5))/(s/s**(-8/3))**(1/52) assuming s is positive.
s**(22409/780)
Simplify ((w*w*((w**(-2/3)*w)/w)/w*w)/w)**11/((((w/(w/(w*w**(-3/5))))/w)/w)/w**(-9/8)) assuming w is positive.
w**(497/120)
Simplify d**(-4)/((d*(d*d**2*d)/d)/d)*(d**2)**(2/69) assuming d is positive.
d**(-479/69)
Simplify (w*w**5*w**(-14))/((w*w**(2/9))/(w/((w/(w**(2/7)/w))/w))) assuming w is positive.
w**(-563/63)
Simplify m*(m*m**(3/5))/m*m*m/m**(2/37)*(m**(2/7)*m)/(m**9/m) assuming m is positive.
m**(-4103/1295)
Simplify ((u**(-4/3)/u*u**5)/(u**(-1/10)/u*u/(u**(-2/7)/u)*u*u))**(-40/9) assuming u is positive.
u**(436/189)
Simplify ((q*q**(4/11)*q**(-12))/(q**(-6/5)/(q*q**(-4/5))))**(-2/141) assuming q is positive.
q**(1016/7755)
Simplify (w**(-2))**(-19)*(w*w**3)**(-32/5) assuming w is positive.
w**(62/5)
Simplify (((w/(w/w**2))**35)**(-12))**(-12) assuming w is positive.
w**10080
Simplify (((b/(b/((b*(b*b/((b**21*b)/b))/b)/b)*b*b))/b)/b)**45*(b**(-21)*b)/b**(8/7) assuming b is positive.
b**(-7708/7)
Simplify (p**24*p*p*p*p*p/(p*p**(-1/44)*p))/(p*p*p*(p**(-9/7)*p*p*p)/p*p/(p**3/p)) assuming p is positive.
p**(7487/308)
Simplify (g/(g*g**(1/2)))**(1/25)/(g**5/g*g*g*g*g**6) assuming g is positive.
g**(-651/50)
Simplify (((o*o**(-23)*o)/(o/(o*o/(o/(o**(1/6)*o)*o*o))*o))**33)**43 assuming o is positive.
o**(-64801/2)
Simplify (j*j**(5/6)*j*j*(j*j**(-10/9))/j)/(j/((j**(4/13)*j*j)/j*j))**1 assuming j is positive.
j**(943/234)
Simplify (((p**(1/2))**10)**44)**41 assuming p is positive.
p**9020
Simplify (l/(l/(l*l*l**(-1/7)))*l)**(1/41)/(l**(-2/25)*l*l/(l**10/l)) assuming l is positive.
l**(51299/7175)
Simplify ((r*r*r**(-4))/(r**(-18)*r))/(r**(3/13))**14 assuming r is positive.
r**(153/13)
Simplify (s/s**15*s/s**(-13))/(((s**(-2/7)*s)/s)/((s*s**(-5)/s)/s)) assuming s is positive.
s**(-40/7)
Simplify (((p/(p/(p/p**(-6)*p)))**(-32))**(-18))**(4/3) assuming p is positive.
p**6144
Simplify ((v*v/v**10)/v*v**(13/3))/((v*v**0)/v**(1/2)) assuming v is positive.
v**(-31/6)
Simplify (l**(1/5)*l*l**16)/(l*l*(l*l**(-8))/l)**(-35) assuming l is positive.
l**(-964/5)
Simplify (z**(2/7))**(-2/15)/((z**2/z)/z**5) assuming z is positive.
z**(416/105)
Simplify a**(-31)*a*a*a**(-20)*a**(2/35)/a*a*(a*a*a**(-5)/a)/a assuming a is positive.
a**(-1888/35)
Simplify (b*b**(-1))**30*b*b**(2/15)/b*b*b**(5/6)*b assuming b is positive.
b**(89/30)
Simplify ((o*o**(2/5)*o)/o)**(-1/20)*o**(-7)/o**29 assuming o is positive.
o**(-3607/100)
Simplify (p**(11/4)*p**(3/7))/(p**(2/27)/(p*p/(p*p/(p**6/p)*p))) assuming p is positive.
p**(5371/756)
Simplify (i**(1/9)*i*(i/i**6)/i*i)/(((i/((i/((i*i**(-2/15))/i*i))/i*i))/i)/i**(-2/15)) assuming i is positive.
i**(-35/9)
Simplify (z/z**(-2/27))/z**(-2/5)*(z*z**(3/2))/z**10 assuming z is positive.
z**(-1627/270)
Simplify ((l**10*l**(-2/35)/l*l*l)**8)**(4/5) assuming l is positive.
l**(12256/175)
Simplify (((d/d**(-4/7))/(d/d**(-9)))**(-15))**(-13) assuming d is positive.
d**(-11505/7)
Simplify ((c**(1/5)*c)**(-16)*(c/(c/((c*c**(-3/2))/c)*c*c))**(-3/46))**(-44) assuming c is positive.
c**(95997/115)
Simplify ((k**(-1/2)/k)**(11/5)/(k*(k/(k/(k**(1/3)/k)))/k*k*k/k**4*k))**(-12) assuming k is positive.
k**(98/5)
Simplify (c**(1/20))**(-28)/(c**(-2/3))**(1/7) assuming c is positive.
c**(-137/105)
Simplify (((t/(t/(t*t*t**(-5/6))))/((t*(t/t**0)/t)/t))/(t**(-1)/t)**(-2/131))**12 assuming t is positive.
t**(1786/131)
Simplify (s/((s/((s*s**(-8))/s))/s*s)*s**6/s*s**(2/7)/s**(-8))**(-26) assuming s is positive.
s**(-962/7)
Simplify (m/(m**(5/3)/m))/(m/m**(-2))*m**(-4/5)/m**(-2/15) assuming m is positive.
m**(-10/3)
Simplify (f**(-15/2)/f**(-5))**(15/11) assuming f is positive.
f**(-75/22)
Simplify (i**(1/21)*i)**(5/3)*(i*i*i**13)**47 assuming i is positive.
i**(44525/63)
Simplify ((p*p/((p*p/p**(-19)*p)/p)*p*p*p)/p)/((p*p**(3/8)/p)/p)*(p*p**8)/p*p*p/(p**(-16)*p) assuming p is positive.
p**(69/8)
Simplify n**(-2/7)/((n*n*(n/(((n/((n*n*n**(-15)*n*n)/n)*n*n)/n)/n)*n)/n*n*n)/n)*n**(-2/13)*n**(1/5) assuming n is positive.
n**(3986/455)
Simplify (r**(1/4)/r*r)**27/(r/((r**2/r)/r*r))**(-1) assuming r is positive.
r**(27/4)
Simplify (h/h**(-13))**(-48)*(h/(h/(h/(h*h/(h**15*h*h*h))*h)))**(-3) assuming h is positive.
h**(-726)
Simplify (((b**32/b)/b)**(2/17))**(-16/7) assuming b is positive.
b**(-960/119)
Simplify ((k/k**(2/3))/k**(2/47))/(k*k*k**(-2/19))**15 assuming k is positive.
k**(-75361/2679)
Simplify r**(-11)*(r/r**9*r*r)/r*((r*r*(r*r**10)/r)/r)**(-14/15) assuming r is positive.
r**(-424/15)
Simplify ((c/c**(-8))/(c*c**(-1/5))*(c**(-6)/c)/c**(-9))**(1/30) assuming c is positive.
c**(17/50)
Simplify ((l*l*l/(l**(2/7)/l))**2/((l/((l*l/l**(-3/4)*l)/l))/l**(5/6)))**(-2/37) assuming l is positive.
l**(-841/1554)
Simplify (((y/y**(-7/5))**(-40))**47)**47 assuming y is positive.
y**(-212064)
Simplify (u**(-23)*u/u**(5/7))**(21/5) assuming u is positive.
u**(-477/5)
Simplify f*f*f**(-7)*f**(-4/3)*(f**(-2/25))**(-4) assuming f is positive.
f**(-451/75)
Simplify (((w*w**(3/4))**45)**(3/13))**(-26) assuming w is positive.
w**(-945/2)
Simplify (x**0)**(-4/11)/(((x/x**9)/x)/(x*x/((x*x*x**(-9/4))/x*x)*x)) assuming x is positive.
x**(49/4)
Simplify a**(3/7)/((a*a**(-24))/a)*a**(2/31)*(a/a**(-2/7))/a assuming a is positive.
a**(5377/217)
Simplify ((x*x*x/(x/((x*x*x*x*((x**(-2/5)/x)/x)/x*x)/x)))**(3/2))**16 assuming x is positive.
x**(312/5)
Simplify ((o/o**8)/(o/o**(-3/16)))/(o/(o**(3/4)/o)*o**(-3/14)) assuming o is positive.
o**(-1033/112)
Simplify ((c**(2/7)/c*c**4*c*c)/((c*c**(-2/3))/c)**(4/23))**(-1/70) assuming c is positive.
c**(-2609/33810)
Simplify (z*z**(2/7)*z/(z/z**(-2/25)))/(z**0)**(1/18) assuming z is positive.
z**(211/175)
Simplify ((s/(s/(s**(-15)/s*s)))/s*s/(s**(10/11)/s)*s)/(s/((s*s*s**(-3))/s))**46 assuming s is positive.
s**(-1671/11)
Simplify (k/(k*k*k**(-2/3)/k*k))**23/(k**(4/3)*k/k**(3/4)) assuming k is positive.
k**(-37/4)
Simplify (n*n/n**(-4))**(-34)/(n**3)**(-12/11) assuming n is positive.
n**(-2208/11)
Simplify ((r/(r*r*r*(r*((r/((r*r**(-4/7)/r)/r))/r)/r*r*r)/r*r*r))/(r*r**(-6)))/(r**(2/17)*r/(r**(-10)/r*r)) assuming r is positive.
r**(-1510/119)
Simplify ((c/(c**1/c)*((c*c**(5/4))/c)/c)**(5/3))**(-18) assuming c is positive.
c**(-75/2)
Simplify ((y*(y**(-3)*y)/y)/y)**(-42)*y*y/(y**(2/3)*y)*y/y**(-17) assuming y is positive.
y**(433/3)
Simplify (x*x**(-4))**(-36)/(x**(-6)/x)**27 assuming x is positive.
x**297
Simplify (x**7*x*x**(-1/8)*x**(-2/5)/((x*x**0*x)/x))**(-1/3) assuming x is positive.
x**(-259/120)
Simplify v/(v/v**(-15)*v)*v*v**(-1/3)*((v*v**(-1/5))/v)/v*v**(-3/4) assuming v is positive.
v**(-1037/60)
Simplify (x**(-1/18)/(x*x**(4/29)*x))**(7/3) assuming x is positive.
x**(-8015/1566)
Simplify (l/((l*l/((l/(l/l**(-16)))/l))/l)*l)**(-42)*(l*l*l*l**(-10/7))/(l/(l/(l/(l/(l/l**(7/3)))))) assuming l is positive.
l**(14173/21)
Simplify (d*d*d**(-34))**(-2/115)*(d**(2/69))**33 assuming d is positive.
d**(174/115)
Simplify (u/u**(-2/11))**(-11/2)/((u/u**8)/u**9) assuming u is positive.
u**(19/2)
Simplify w**1*w*w**(-19)*(w/(w/(w/w**3*w)))**47 assuming w is positive.
w**(-64)
Simplify (h*h**(-1/7))/(h**(2/41)/h)*(h**10/h)**(-50) assuming h is positive.
h**(-128631/287)
Simplify (f**(-11))**43/(f**(-27)/(f/((f/(f/f**22))/f))) assuming f is positive.
f**(-466)
Simplify (z*z*z*z**1*z*z)**38*(z**(-1/2)*z)/(z/(z**10/z*z)) assuming z is positive.
z**(475/2)
Simplify a**(3/4)/(a*(a**(-16)*a)/a)*(a**(-1/2))**35 assuming a is positive.
a**(-7/4)
Simplify b**(-3/4)*(b**(-7/2)*b)/
|
{
"pile_set_name": "DM Mathematics"
}
|
*b - 31. Let y(o) = 9*r(o) + 2*t(o). Is y(11) composite?
False
Suppose 2*s - 2*a - 2776 = 0, -a + 990 - 5144 = -3*s. Is s prime?
False
Suppose 25*o - 65 = 24*o. Let k = o + 5. Suppose -2*p + k = -36. Is p prime?
True
Let x(p) = -3*p - 1. Let n(k) = -3*k. Let m(y) = 3*n(y) - 4*x(y). Let l be m(8). Suppose 99 = h - l. Is h composite?
False
Let i be 1*(2 + -4) - -589. Let s(v) = v**2 - 59*v + 378. Let z be s(7). Suppose z*y - 13*y - i = 0. Is y composite?
False
Let r(b) = 261*b - 10. Let t be r(9). Suppose -5*h + j + t = 0, -j = h - 0*j - 463. Is h a composite number?
False
Suppose 3*k = 5*z - 45327, -3*k - k = 5*z - 45299. Suppose 14*v - z + 3281 = 0. Is v a prime number?
False
Let w(x) = x**3 - x**2 - 2*x + 1. Let o be w(0). Let s(k) = 270*k - 4. Let v be s(o). Is (v*-5)/(-5) + -3 prime?
True
Let i be 5 + (1 - (-2 - -7)). Is -1 - -4 - -577 - (-2 + i) a composite number?
True
Let a = -183 + 1817. Let v = -1117 + a. Is v composite?
True
Suppose -5 = -7*i + 6*i. Suppose 4*o + 3822 = -i*s, 3*s - o - o + 2280 = 0. Is s/(-7) - 2/(-14) prime?
True
Let b be ((-447)/4 + 0)*112/(-42). Suppose 1490 = 4*m - b. Is m composite?
True
Let u(v) = v**2 + 5*v + 8. Let l be u(-4). Suppose -l*b + 16 = s, -5*b - s - 3 = -22. Is 14/(-42) + 4792/b a prime number?
True
Let x = 851 - -1652. Is x a prime number?
True
Let x = 6227 + 242. Is x a prime number?
True
Suppose -c = -3*a + 2*c + 2280, 0 = -4*c - 16. Is -4 - a/(-8)*2 a composite number?
True
Let s(y) = 27*y**2 + 45*y - 277. Is s(37) a prime number?
True
Is 12 + -7 - (-1)/((-2)/(-17256)) a prime number?
False
Let k(c) = -3*c + 22. Let m be k(8). Is ((-2918)/m - -3) + 3 a prime number?
False
Let z(r) be the first derivative of 2*r**2 - 3 - 2 - r + 6*r**2 + 40*r**2. Is z(1) a composite number?
True
Suppose 7*b - 2*b = 45. Suppose a + 640 = 5*a + 4*q, -3*q = b. Is a prime?
True
Let h = 845 + -583. Let b be (72/(-32))/(15/40). Is ((-6)/b)/(2/h) composite?
False
Let u(k) = -k**3 - 3*k**2 + 4*k - 19. Let t be u(-6). Let l(i) = i**2 + 5*i + 6. Let w be l(-4). Suppose 2*s - 112 = -w*h, h + 5*s = s + t. Is h prime?
True
Let n(j) = 3*j**3 - 21*j**2 + 13*j - 29. Is n(12) a composite number?
False
Let d(x) = 65*x**2 - 2*x + 11. Let g(t) be the second derivative of 8*t**4/3 - t**3/6 + 3*t**2 - 2*t. Let w(h) = 3*d(h) - 5*g(h). Is w(-2) a composite number?
True
Let k = 24118 + -13179. Is k a prime number?
True
Suppose 3*s = 3*n - 105, -40 = s - 0*s + 4*n. Let l = s - -195. Is l a prime number?
False
Suppose 0 = -i + 4*n + 4181, -4185 = -i + 3*n - 0*n. Is i prime?
False
Let t be (-44)/(-242) - 97786/(-22). Let l = t + -2552. Is l a prime number?
False
Let l be (1 - 0) + -95*1. Let b(y) = 3*y**3 + 40*y**2 + 28*y - 12. Let x be b(-12). Let p = l + x. Is p a prime number?
False
Let x(k) = 3*k**2 + 2*k - 12. Let p be -5 + 1 - 64/(-8). Let u be 5/(p/(0 + -4)). Is x(u) composite?
False
Suppose 14 = -5*a + 4. Is ((-10)/20)/(a/652) composite?
False
Let z(g) = g**2 - 5*g + 1. Let d be z(5). Let a(c) = 214*c - 3. Is a(d) prime?
True
Is 4/(-2)*(-307003)/34 prime?
True
Suppose 4588 = 4*q - 3*m, -3973 = -4*q - m + 615. Is q prime?
False
Suppose -40 = -4*o - 5*t, -2*o - 2*t + 6 = -3*t. Let f = 48 - 44. Suppose -q + 315 = 2*v - f*v, -2*v + 1527 = o*q. Is q a prime number?
True
Suppose -7*s + 45460 = 14849. Is s a prime number?
True
Let l(t) = -5*t - 963*t**2 + 399*t**3 + 967*t**2 + t + 3. Is l(2) prime?
True
Let y = 0 + 0. Suppose -3*u + 2*u = y. Is 53*(3 + u + 2) a composite number?
True
Let c(q) be the second derivative of -q**5/20 + 11*q**4/12 - 11*q**3/6 - q**2/2 - 3*q. Let h = 73 + -65. Is c(h) a prime number?
True
Let a = 17 - -10. Suppose -a*p + 1131 = -24*p. Is p prime?
False
Let v(u) = 99*u**3 + 14*u**2 - 18*u - 38. Is v(9) a composite number?
True
Suppose l + 4*g = 18025, -5*l + 3*g + 7141 = -83076. Is l a prime number?
True
Suppose 0 = -10*d - 0*d + 11150. Is d a composite number?
True
Suppose -h + 5*k = -22, -h + 12 + 1 = -2*k. Is h a composite number?
False
Let a(y) = y + 11. Let v be a(-4). Suppose -10 = q - 3*d, 2*d - v = -1. Let t(n) = -174*n + 3. Is t(q) a composite number?
True
Let m = 404 + -1097. Suppose -14*j + 16*j + 1996 = 0. Let r = m - j. Is r a composite number?
True
Let d be 1/(-4 - (-28)/8). Is 1087/3*(-6)/d*1 composite?
False
Let l = 1248 + -15299. Is (-4)/18 - l/9 a composite number?
True
Is 38894*-1*(-4)/8 a composite number?
False
Suppose 0 = -2*r + 3*v - 183, r + 4*v + 63 + 34 = 0. Let l = -40 - r. Is l a prime number?
True
Suppose 4*p + 5 = -p. Let j be p/(-5) + 14/5. Let v(c) = 30*c**2 - 3*c - 4. Is v(j) prime?
True
Suppose 3*s + 0*s - 15 = 0. Suppose s*r + 94 - 1984 = 0. Suppose 0*k - k + r = g, 4*k + 4 = 0. Is g prime?
True
Let l(g) = 7039*g**3 + g**2 - 16*g + 15. Is l(1) composite?
False
Let g(d) = d + 32. Let z(c) = -c - 32. Let j(x) = 4*g(x) + 3*z(x). Is j(14) a composite number?
True
Let s(n) = n**2 + 3*n - 1. Let u be s(-4). Suppose -5*r + 1470 = 5*f, 1478 = 4*f + f - u*r. Is f a composite number?
True
Let o(r) = 36*r**2 + 18*r + 109. Is o(23) composite?
True
Suppose 7*q = 9*q - 1926. Let t = q - 158. Let s = -540 + t. Is s a prime number?
False
Suppose 65*n = 58*n + 20447. Is n a prime number?
False
Let n = 2333 - 2707. Let x = -314 + 197. Let l = x - n. Is l composite?
False
Suppose 3*m + 24 = c, 3*c - 3*m - 48 + 6 = 0. Let a(v) = 3 + 6 - c*v - 2 + 3. Is a(-8) prime?
False
Suppose 3*i - 5*w = 43, 4*i + 3*w + w - 4 = 0. Suppose -c = -u - 3, u - 3*u + 3*c - 7 = 0. Is u/6 - (-944)/i composite?
False
Suppose 13*i = 30193 + 49510. Is i a prime number?
True
Is 2/(-25) - (-563954)/50 prime?
True
Let t(i) be the third derivative of i**5/60 - i**4/24 + i**3/3 + 10*i**2. Let g be t(1). Suppose g*u - 4122 + 1096 = 0. Is u prime?
False
Suppose 24*v + 3*b - 18013 = 20*v, v - 4527 = 4*b. Is v composite?
False
Suppose 3*s = j + 9, 2*s + 2*s = -3*j - 1. Suppose -16 = -s*g - l - 4*l, -4*g + 5*l = -32. Is 1/g + (-36275)/(-40) prime?
True
Suppose -4*d - p + 59080 = 0, 3*d - 8*p - 44310 = -3*p. Suppose -m = -l - 5575, 0 = -4*m - l + 7550 + d. Is m a prime number?
False
Let n be (26/(-169))/(2/(-26)). Let i = 870 + -346. Suppose -n*c = -0*c - i. Is c prime?
False
Let n = 233 - 360. Let h = n + 72. Let f = h + 86. Is f a composite number?
False
Let n = -54 + 53. Is (0 - n)*8/((-40)/(-2955)) a composite number?
True
Suppose -4*q + 14319 = -10669. Is q a composite number?
False
Let j be (0 - 3/6) + 27925/2. Let u = j - 8999. Is u composite?
True
Let q(x) = -4*x**2 - 6*x - 18. Let h(v) = -v**2 - 1. Let z(l) = -5*h(l) + q(l). Let n be (-136)/10 - (-2)/(-5). Is z(n) prime?
False
Suppose 0 = 43*g - 38*g - 10. Suppose -2*r + z = -26327, 3*r + g*z - 39492 = 5*z. Is r a prime number?
True
Suppose 5*q = 7*q - 20. Let g(a) = -1. Let s(n) = 32*n - 7. Let t(c) = 6*g(c) + s(c). Is t(q) composite?
False
Let r(z) = 33*z**2 + 11*z - 85. Is r(-13) a prime number?
False
Suppose -49497 = -15*l - 6*l. Is l prime?
True
Suppose -19 = -3*k - 52. Let y(c) = 11*c**2 - 18*c - 16. Is y(k) a prime number?
False
Is (-173529)/(-12) + 2/(24/3) a composite number?
False
Let o(x) = 46*x**2 - 2*x - 21. Is o(-5) a composite number?
True
Suppose -3*o + 4448 = 2*k, -5*k - 2*o = 2*o - 11113. Is k a prime number?
True
Let h(v) = -v**3 + 6*v**2 + 10*v + 7. Let z = -25 - -18. Let o be h(z). Suppose 2*x = 4*x - o. Is x a composite number?
True
Suppose -5*d + 10*d - 60 = 0. Let l be (-3550)/(-14) - d/(-28). Let j = l + -112. Is j composite?
True
Let q = -273 - -404. Suppose -4*v = -3*v - q. Is v a composite number?
False
Let x be 570 + (-3 - 1)/(-4). Let m = x - 348. Is m prime?
True
Is (10/4 - (-97261)/(-38))*-1 a prime number?
True
Let h(p) be the second derivative of 10*p**3 + 0 - 5/2*p**2 - 10*p. Is h(7) a composite number?
True
Let v(u) be the second derivative of -3*u**5/20 + u**4/6 + u**3/3 + 2*u**2 + u. Let b = 810 - 815. Is v(b) a prime number?
True
Is 84232/(-2)*5/(-20)*1 prime?
True
Let z = 1836 - -807. Is z a prime number?
False
Let b = 2201 + 31244. Is b composite?
True
Is 9709 - (9 - (-2 - -21)) a composite number?
False
Let z(q) = q**2 + q + 4. Let i be z(0). Suppose 0 = -4*a - i*c + 5436, 0*a + 5*c - 1351 = -a. Is a a composite number?
False
Let p(a) = -a + 2. Suppose u - 8 + 2 = -5*i, 4*i - 28 = 5*u. Let m be p(i). Suppose m*j = -3*j + 339. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
3*n(y).
-2*y - 2
Let m(w) = 36*w - 51. Let n(z) = -7*z + 10. Calculate 4*m(a) + 21*n(a).
-3*a + 6
Suppose -35 = 5*u - 0. Let c(k) = -k**3 - 6*k**2 + 8*k + 4. Let p be c(u). Let y(r) = -4*r + r + 2 + 0*r. Let a(x) = 4*x - 3. Give p*y(v) - 2*a(v).
v
Let j(i) = -11*i**2 + i - 3. Let s(q) = 21*q**2 - 2*q + 6. Give 11*j(l) + 6*s(l).
5*l**2 - l + 3
Let i(f) = 25*f**2 + 3*f + 3. Let c(m) = 126*m**2 + 14*m + 14. What is -3*c(j) + 14*i(j)?
-28*j**2
Let h(a) = -a**3 - 4*a**2 + 3*a + 3. Suppose 24*s = 17*s - 21. Let b(w) = 3*w**2 - 2*w - 2. Suppose u = p, 2 + 0 = -p. Calculate s*b(q) + u*h(q).
2*q**3 - q**2
Let w(a) = -106*a - 2. Let i(q) = -5193*q - 99. Calculate -2*i(h) + 99*w(h).
-108*h
Let f(y) = -y**3 - 23*y**2 - 5*y - 5. Let n(j) = j**3 + 12*j**2 + 3*j + 3. Determine 3*f(c) + 5*n(c).
2*c**3 - 9*c**2
Let o(z) = z - 1. Let n(k) = 8*k - 6. Let h(y) = -10 + 10*y + 6*y**3 + 7*y**2 + y**3 - 8*y**3. Let g be h(8). Calculate g*o(w) - n(w).
-2*w
Let b(d) = 5*d**3. Let l(p) = 51*p**3. Suppose -19*z = -20*z + 2. Give z*l(t) - 21*b(t).
-3*t**3
Let v(f) = 2*f - 1. Suppose -g + 15 = 4*g. Suppose -4*d - 4*n + 11 + 9 = 0, 0 = -g*n + 6. Let x(s) = 1 - 3 + 1. Calculate d*x(w) - v(w).
-2*w - 2
Let s(d) = -7*d**3. Let o(l) = -l**3 - l**2 - l. Let p(g) = -20*g**3 - 30*g**2 - 30*g. Let k(j) = -30*o(j) + p(j). Calculate 5*k(u) + 7*s(u).
u**3
Let s(t) = t**3 + t**2 - 1. Let l be (-1 + 8/5)*5. Let w be ((-1)/l)/((-5)/90). Let g(i) = -4*i**3 - 4*i**2 + 5. Determine w*s(k) + g(k).
2*k**3 + 2*k**2 - 1
Let r(k) = -374*k**2 - 17. Let u(d) = -107*d**2 - 5. Give -5*r(g) + 17*u(g).
51*g**2
Let a(c) = -4*c + 5 + 4 - 4. Let r(l) = 2*l - 2. Let x = -24 + 17. Calculate x*r(h) - 3*a(h).
-2*h - 1
Let u(d) = -2*d**2 + 3*d - 3. Let s(m) = -5*m**2 + 4*m - 6. Let b(l) = -l**2 - l - 1. Let c(y) = b(y) - s(y). What is 3*c(o) + 5*u(o)?
2*o**2
Let h(k) = 11*k**2 + 9*k - 11. Let z(t) = 5*t**2 + 4*t - 5. Determine 6*h(y) - 13*z(y).
y**2 + 2*y - 1
Let i(f) = -14*f + 2. Let d(w) = 336*w - 49. Determine 2*d(n) + 49*i(n).
-14*n
Let x(u) = -u**2 + u. Let f(d) = -4*d**2 + 5*d + 2. Let i = 27 - 6. Let n = i - 20. Let y = 0 - 3. Calculate n*f(z) + y*x(z).
-z**2 + 2*z + 2
Let g = 18 + -12. Let c(r) = -11*r**2 + 13*r - 13. Let z(d) = -5*d**2 + 6*d - 6. Suppose 7*n = 3*n + 16. Suppose 0*k - 52 = n*k. Give g*c(y) + k*z(y).
-y**2
Let g(l) = -17*l**3 + 9*l**2. Suppose -28*n + 6 = -31*n. Let d(p) = -4*p**3 + 2*p**2. Give n*g(t) + 9*d(t).
-2*t**3
Let n(a) = -a**3 - 3*a + 2. Let v(u) = 4*u**3 + 9*u - 7. Calculate 7*n(c) + 2*v(c).
c**3 - 3*c
Let j(i) = -9*i - 7. Let u(b) = -4*b**3 - 1. Let t be u(-1). Let a be ((-1)/t)/(2/42). Let p(w) = 5*w + 4. Calculate a*p(o) - 4*j(o).
o
Suppose 3*s + p - 12 = 0, 0 = -5*s + 4*p + 31 - 11. Let r(k) = -2*k**3 + 4*k + 6 + 10*k + 6*k - 21*k. Let d(g) = -g**3 - g + 5. What is s*d(j) - 3*r(j)?
2*j**3 - j + 2
Let n be 2 + -2 + -1 + 5. Suppose n = 4*p - 4. Let a(y) = -3*y**2 + 2*y - 4. Let v(r) = 0*r**2 - 2*r**3 - 1 + r**3 + r - r**2. What is p*v(j) - a(j)?
-2*j**3 + j**2 + 2
Let h = 2 + -6. Let x(c) = 17*c**2 - 11*c - 8. Let l(k) = 7*k - k - 3 + 6*k**2 - 10*k. Calculate h*x(g) + 11*l(g).
-2*g**2 - 1
Suppose -2*z - 40 = 4*s, -5*s - 3*z - 16 = -3*s. Let l(b) = 10*b - 21. Let q(j) = -2*j + 4. Give s*q(u) - 2*l(u).
2*u - 2
Let j be (-20)/(-15)*(-1 - 2). Let a(m) = 3*m**2 - 2*m - 5. Let g(h) = 1 - 4*h + 4*h - h**2. What is j*g(c) - a(c)?
c**2 + 2*c + 1
Let w(i) = -i + 1. Let u(k) = 3*k - 2. Let n = -33 + 32. Determine n*w(z) - u(z).
-2*z + 1
Let d(c) = c + 2*c - 2*c - 1. Let g be (2 + 0)/((-14)/(-7)). Let u(t) = 2*t - 1. What is g*d(x) - u(x)?
-x
Let q(y) = -11*y**3 - 2*y**2 - 5*y. Let w(x) = -30*x**3 + 67*x**3 + x**2 + 3*x - 31*x**3. What is 3*q(v) + 5*w(v)?
-3*v**3 - v**2
Let o(n) = 3*n**2 + 21*n - 2. Let z(m) = 4*m**2 + 22*m - 3. Determine 3*o(q) - 2*z(q).
q**2 + 19*q
Suppose -8*f - 65 = -3*f. Let y = f - -37. Suppose 3*m + 0*m = y. Let i(k) = -14*k**2 + 8*k + 8. Let c(d) = 9*d**2 - 5*d - 5. Calculate m*c(q) + 5*i(q).
2*q**2
Let o(z) = -2 + 2*z**2 + 3 + 0 - 3*z**2. Let d(x) be the third derivative of -1/15*x**5 - x**2 + 0*x + 4/3*x**3 - 1/24*x**4 + 0. Determine -d(v) + 6*o(v).
-2*v**2 + v - 2
Let y(s) = 2*s**2 + 6*s + 2. Let q(d) = d**2 + 3*d + 1. Give 5*q(j) - 2*y(j).
j**2 + 3*j + 1
Let l(w) = 5*w**2 - 7*w - 5. Let z(g) = 2*g**2 - 3*g - 2. Suppose 4*o - o = 9. Suppose q = -3*q - 5*c - 38, -3*q - 27 = 3*c. Give o*l(j) + q*z(j).
j**2 - 1
Let t(g) = 11*g**2 + 6. Let l(r) = -4*r**2 - 2. Give 8*l(m) + 3*t(m).
m**2 + 2
Let s(a) = -5*a**3 + 3*a**2 + 3*a + 3. Let v(w) = -4*w**3 + 2*w**2 + 2*w + 2. Suppose 126*g - 127*g = -6. What is g*v(h) - 4*s(h)?
-4*h**3
Let i = -35 + 36. Let r(f) = -2*f**2 + 2. Let d(y) = y**2. Give i*r(p) + d(p).
-p**2 + 2
Let z(g) = -g**2 - 4. Let k(o) = -8*o**2 - 5*o - 8. Let c(t) = -7*t**2 - 4*t - 9. Let n(w) = 5*c(w) - 4*k(w). Determine -2*n(m) + 7*z(m).
-m**2 - 2
Let l = -41 - -55. Let h(x) = 10*x. Let t(f) be the second derivative of -f**3/3 + f. What is l*t(a) + 3*h(a)?
2*a
Let p(i) = -3*i**2 + 2*i**2 + 4*i**3 - 3*i**3. Let a = 152 + -151. Let g(c) be the first derivative of c**4/2 - 4*c**3/3 - c - 2. What is a*g(y) - 4*p(y)?
-2*y**3 - 1
Let p(f) = 3*f**2 - 2*f - 1. Let d(a) = -1. Let i(t) = t + 7. Let g(y) = 6*d(y) + i(y). Suppose -5*w = 2*v - 24, -2*v + 2*w - 16 = -3*w. What is v*g(h) + p(h)?
3*h**2 + 1
Let f(v) be the first derivative of 2*v**3/3 - 7*v**2/2 - 6*v + 6. Let q(y) = 4*y**2 - 13*y - 11. Determine -11*f(s) + 6*q(s).
2*s**2 - s
Let x(f) = 2*f - 6. Let d(l) = 10 - 98*l + 95*l - 3. What is -4*d(j) - 5*x(j)?
2*j + 2
Suppose 0 = -4*g - k + 4 + 3, 3*g + k = 6. Let c(f) = -f + 1. Let o(y) = 1 - 6*y + 3 + 3*y. What is g*o(x) - 2*c(x)?
-x + 2
Let v(k) = 5*k**2. Let c(r) = r + 1. Give -2*c(h) - v(h).
-5*h**2 - 2*h - 2
Let m(f) = 8*f**2 - 7*f - 4. Let q(v) = 17*v**2 - 15*v - 9. Give 13*m(k) - 6*q(k).
2*k**2 - k + 2
Let j(b) = -21*b**3 + 5*b**2 - 5*b - 5. Let r(z) = z**3 - z**2 + z + 1. Give 3*j(k) + 15*r(k).
-48*k**3
Let l(m) = -2*m**3 + 6*m**2 - 5*m - 7. Let r(j) = -6*j**3 + 17*j**2 - 14*j - 20. Give 17*l(b) - 6*r(b).
2*b**3 - b + 1
Let p(u) = -4*u**3 - 3*u**2 + 2*u - 1. Let o(c) = c**3 + c**2 + 1. Suppose 2*r + g - 24 = -4*g, 6 = -r + 2*g. Suppose -4 = 2*j + r. Determine j*o(i) - p(i).
i**3 - 2*i - 2
Let g(s) = -27*s**2 + 2*s + 2. Let m(p) = -14*p**2 + p + 1. Calculate 3*g(n) - 5*m(n).
-11*n**2 + n + 1
Let h = -2 + 5. Let b(x) = 14*x + 0*x**2 - 2*x**2 - 11*x. Let z(t) = 0*t - t + 2*t**2 - t**2. Calculate h*b(o) + 8*z(o).
2*o**2 + o
Let s(g) = -g**2 - g. Let j(r) = 0*r - 7*r**2 - 6*r + 2*r**2. Give -j(k) + 6*s(k).
-k**2
Let t(f) = -f. Let z(k) be the first derivative of 7 + 0*k - 3/2*k**2. Determine -9*t(v) + 2*z(v).
3*v
Let a(q) = -q**3 - 5*q**2 - 7*q - 5. Let y(j) = -j**3 - 4*j**2 - 6*j - 4. Suppose 25 = -3*d - 5*p - 15, 5*d - 3*p = -10. Calculate d*y(m) + 4*a(m).
m**3 + 2*m
Let f(q) be the first derivative of 5*q**2/2 + 4*q + 18. Let h(t) = t + 1. Give -2*f(b) + 9*h(b).
-b + 1
Let n(t) = -t**2 + 1. Let q(s) = 7*s**2 + 3*s - 2. Calculate -4*n(w) - q(w).
-3*w**2 - 3*w - 2
Let y(d) = -6*d + 5. Let f(p) be the first derivative of -p**2/2 + p - 13. Calculate 15*f(z) - 3*y(z).
3*z
Let n(t) = 6*t - 3. Let z(i) = 7*i. Let c be z(1). Let b = c - 11. Let d(a) = 13*a - 7. Give b*d(p) + 9*n(p).
2*p + 1
Let f = 45 + -51. Let v(j) = -20*j + 11. Let a(c) = 7*c - 4. Calculate f*v(k) - 17*a(k).
k + 2
Let y(f) = 7*f + 7. Let j(v) = -8*v - 8. Give 6*j(p) + 7*y(p).
p + 1
Let m = 4 + -6. Let r be (-5 - m)/((-3)/2). Let j(a) = -3*a - 1. Let x(q) = 4*q + 1. What is r*x(h) + 3*j(h)?
-h - 1
Let m(w) = 3*w**2 + 3*w - 2. Let i(s) = -s**2 - s + 1. Give -11*i(o) - 4*m(o).
-o**2 - o - 3
Let x(p) = 3*p - 9. Let f(t) be the first derivative of -t**2 + 5*t + 31. Give 7*f(a) + 4*x(a).
-2*a - 1
Let r(n) = -n**3 - n**2 - n + 15. Let v be r(0). Let g(z) = 18*z**2 - 15*z. Let j(d) = -d**2 + d. What is v*j(c) + g(c)?
3*c**2
Let p(n) = 3*n + 1. Let d = -65 + 61. Let b(q) = 7*q + 3. Give d*b(x) + 10*p(x).
2*x - 2
Let d(s) = -s**2 - s + 1. Let r(b) = 2*b**2 + 11*b - 6. Give 4*d(p) + r(p).
-2*p**2 + 7*p - 2
Let d(c) = 2*c + 3. Let w(t) = 3*t - 5. Let r = 3 + -7. Let i(u) = u - 2. Let h(v) = r*w(v) + 11*i(v). Determine -3*d(m) - 4*h(m).
-2*m - 1
Let q(t) = 9*t**3 + 6*t**2 + t - 8. Let j(m) = -3
|
{
"pile_set_name": "DM Mathematics"
}
|
y 1498.
1025
What is the remainder when 27285661 is divided by 106?
95
Calculate the remainder when 5705861 is divided by 518713.
18
What is the remainder when 9128085 is divided by 52460?
45
Calculate the remainder when 290157 is divided by 13.
10
Calculate the remainder when 325359 is divided by 1350.
9
What is the remainder when 7094006 is divided by 21?
17
What is the remainder when 972652 is divided by 97265?
2
What is the remainder when 114520 is divided by 146?
56
Calculate the remainder when 91403574 is divided by 5077976.
6
What is the remainder when 42194053 is divided by 47?
38
Calculate the remainder when 25504 is divided by 25412.
92
Calculate the remainder when 21012018 is divided by 3001707.
69
Calculate the remainder when 1336324 is divided by 715.
704
Calculate the remainder when 5613233 is divided by 342.
329
What is the remainder when 28758673 is divided by 2614424?
9
Calculate the remainder when 52912023 is divided by 3443.
3442
Calculate the remainder when 44455 is divided by 3814.
2501
What is the remainder when 752883 is divided by 250922?
117
What is the remainder when 35795 is divided by 1292?
911
What is the remainder when 6261772 is divided by 456?
436
What is the remainder when 111406715 is divided by 373848?
11
Calculate the remainder when 34973690 is divided by 19.
10
Calculate the remainder when 1586984 is divided by 14.
0
What is the remainder when 1453497 is divided by 3396?
9
What is the remainder when 1354412 is divided by 609?
605
Calculate the remainder when 520848 is divided by 57.
39
What is the remainder when 969484629 is divided by 13?
9
What is the remainder when 21643 is divided by 2362?
385
What is the remainder when 52624 is divided by 375?
124
Calculate the remainder when 407164 is divided by 5655.
4
Calculate the remainder when 1616148 is divided by 24784.
5188
Calculate the remainder when 6135812 is divided by 102.
2
Calculate the remainder when 633157 is divided by 30116.
721
Calculate the remainder when 12268671 is divided by 56278.
67
What is the remainder when 5746749 is divided by 213?
9
What is the remainder when 22988600 is divided by 999503?
31
What is the remainder when 6641022 is divided by 4997?
9
What is the remainder when 131895 is divided by 13693?
8658
What is the remainder when 8825957 is divided by 11?
8
What is the remainder when 296330 is divided by 32919?
59
Calculate the remainder when 159770 is divided by 512.
26
What is the remainder when 148953 is divided by 814?
805
Calculate the remainder when 407409 is divided by 222.
39
What is the remainder when 358498 is divided by 75?
73
Calculate the remainder when 2041199 is divided by 4034.
4029
Calculate the remainder when 6638504 is divided by 4.
0
Calculate the remainder when 632653 is divided by 5912.
69
Calculate the remainder when 360855480 is divided by 4516.
4500
Calculate the remainder when 1819071 is divided by 3998.
3979
Calculate the remainder when 2494978 is divided by 30.
28
Calculate the remainder when 2486422 is divided by 2946.
2944
Calculate the remainder when 3593377 is divided by 171113.
4
What is the remainder when 297136 is divided by 74262?
88
What is the remainder when 3042615 is divided by 108658?
191
What is the remainder when 929226771 is divided by 42?
39
Calculate the remainder when 61921 is divided by 54.
37
What is the remainder when 30899241 is divided by 2809020?
21
What is the remainder when 1804651 is divided by 26?
17
Calculate the remainder when 3592616 is divided by 1001.
27
What is the remainder when 65012 is divided by 64656?
356
What is the remainder when 14464666 is divided by 222533?
21
What is the remainder when 190879 is divided by 95125?
629
Calculate the remainder when 355533 is divided by 519.
18
Calculate the remainder when 12631548 is divided by 524.
4
What is the remainder when 1562506 is divided by 4?
2
Calculate the remainder when 341820 is divided by 9493.
72
Calculate the remainder when 782003 is divided by 82.
51
What is the remainder when 189307 is divided by 4516?
4151
Calculate the remainder when 3290306 is divided by 7001.
6837
Calculate the remainder when 10432 is divided by 2065.
107
Calculate the remainder when 7725325 is divided by 3862630.
65
What is the remainder when 280449 is divided by 210?
99
Calculate the remainder when 20582160 is divided by 6501.
6495
Calculate the remainder when 404448515 is divided by 11.
9
Calculate the remainder when 15912771 is divided by 25099.
5
What is the remainder when 1498195 is divided by 499341?
172
Calculate the remainder when 1821082 is divided by 607023.
13
Calculate the remainder when 893833 is divided by 2134.
1821
What is the remainder when 395989 is divided by 859?
849
What is the remainder when 1443202 is divided by 31?
28
What is the remainder when 4037704 is divided by 244?
236
What is the remainder when 35378959 is divided by 2162?
2153
What is the remainder when 79741 is divided by 1247?
1180
Calculate the remainder when 2035383 is divided by 23.
21
Calculate the remainder when 29002 is divided by 214.
112
Calculate the remainder when 1129313 is divided by 8365.
38
Calculate the remainder when 613594 is divided by 65.
59
What is the remainder when 159551 is divided by 39805?
331
Calculate the remainder when 18366 is divided by 1299.
180
What is the remainder when 54202142 is divided by 16?
14
What is the remainder when 23299951 is divided by 188?
171
Calculate the remainder when 125278436 is divided by 1132.
1128
What is the remainder when 24561 is divided by 4080?
81
Calculate the remainder when 12388528 is divided by 69.
61
What is the remainder when 3116587 is divided by 8?
3
What is the remainder when 42200 is divided by 228?
20
Calculate the remainder when 691463109 is divided by 1644.
1641
Calculate the remainder when 906847 is divided by 47653.
1440
Calculate the remainder when 114066 is divided by 1070.
646
Calculate the remainder when 12281211 is divided by 690.
591
What is the remainder when 15978323 is divided by 15528?
11
Calculate the remainder when 217047800 is divided by 10.
0
What is the remainder when 196895 is divided by 217?
76
Calculate the remainder when 27832693 is divided by 4198.
4151
Calculate the remainder when 9907202 is divided by 1354.
1338
What is the remainder when 57595241 is divided by 2914?
31
What is the remainder when 21965997 is divided by 500?
497
What is the remainder when 5240266 is divided by 1089?
1087
Calculate the remainder when 1345285 is divided by 269055.
10
Calculate the remainder when 13376764 is divided by 2675352.
4
What is the remainder when 2057596 is divided by 11?
2
Calculate the remainder when 25885130 is divided by 4314187.
8
What is the remainder when 175081154 is divided by 79?
11
What is the remainder when 12054743 is divided by 636?
635
Calculate the remainder when 3771689 is divided by 13865.
409
Calculate the remainder when 135519 is divided by 4803.
1035
Calculate the remainder when 290460 is divided by 894.
804
What is the remainder when 22581 is divided by 3073?
1070
Calculate the remainder when 1482576 is divided by 2467.
2376
What is the remainder when 4575287 is divided by 326806?
3
What is the remainder when 10095232 is divided by 48?
16
What is the remainder when 1011759 is divided by 4251?
21
What is the remainder when 7754087 is divided by 241?
153
Calculate the remainder when 505846 is divided by 359.
15
What is the remainder when 122943 is divided by 539?
51
Calculate the remainder when 385492733 is divided by 256.
253
What is the remainder when 107941 is divided by 233?
62
Calculate the remainder when 1220288 is divided by 3244.
544
What is the remainder when 91636976 is divided by 320409?
2
Calculate the remainder when 1281547 is divided by 5363.
5153
Calculate the remainder when 182490169 is divided by 60830046.
31
Calculate the remainder when 25050195 is divided by 50915.
15
Calculate the remainder when 115670 is divided by 57809.
52
Calculate the remainder when 560098 is divided by 35006.
2
Calculate the remainder when 530331 is divided by 175700.
3231
Calculate the remainder when 514541 is divided by 732.
677
What is the remainder when 480292 is divided by 20881?
29
What is the remainder when 17132062 is divided by 2855341?
16
What
|
{
"pile_set_name": "DM Mathematics"
}
|
i be 10/q*(-4)/10. Which is the third biggest value? (a) 1/4 (b) 2 (c) i
a
Suppose 0 = -5*m + 4*r, -5*m + r = 4*r + 35. Let l be 3*m/(-24) + -1. Which is the second biggest value? (a) -5 (b) -8 (c) l
a
Let q = -0.1 + 0.5. Let v = -3.9 - -4. What is the second smallest value in q, 2, v?
q
Let y be 0 + 0 + 1 - -105. Suppose 0*v = -2*v - y. Let s = v - -262/5. What is the third smallest value in -4, 0.2, s?
0.2
Let w = 124/9 - 40/3. Let h = -15 - -12.3. Let j = h - -3. What is the biggest value in w, j, -0.1?
w
Let m = -3.4 + 3.3. Which is the biggest value? (a) 0.5 (b) m (c) -0.06
a
Let i = -547/7 + 78. Let s = -0.09 - 0.38. Let x = s - 0.03. Which is the smallest value? (a) i (b) 0 (c) x
c
Let x = 0 - -0.3. Which is the biggest value? (a) -5 (b) x (c) -0.2
b
Let f = -1664561/20 - -498997/6. Let m = -247/4 - f. Which is the second smallest value? (a) -0.1 (b) m (c) -0.5
a
Let k = -0.8 - -1. Let p = 0.6 - 0.1. Let c = 2.9 - 3. What is the third smallest value in c, p, k?
p
Let i be 24/42*21/54. Let y be 6 + -1*(2 - 0). Suppose -l = -y*l - 15. Which is the second biggest value? (a) l (b) i (c) 2/19
c
Let k be 8/4 + -3 + 1. Let y be k + ((-2)/2)/(-2). Let w = 56 + -281/5. What is the smallest value in y, -0.08, w?
w
Let p = -18.5 - -19. Let m = 3 - 3.5. What is the second smallest value in -1, p, m?
m
Let m = 16 - 8. Suppose 24 = 4*s - 2*h, -s + 3*h = m - 24. Let x = -0.15 + -0.05. Which is the third biggest value? (a) 0.2 (b) s (c) x
c
Let u = -0.06 + -2.24. Let r = u + 2.2. Which is the third smallest value? (a) r (b) 0.1 (c) 3
c
Let h be 6/4 - (2 + 0). Let s = 20.7 - 21. What is the third biggest value in h, 0.1, s?
h
Let b = 9 + -7. Let f be -2 + ((-3800)/(-7))/b. Let j = f + -269. What is the biggest value in -1/4, 0.5, j?
0.5
Let p(m) = m + 1. Let d be p(1). Let v be 0 - (6 + (1 - 2)). Which is the smallest value? (a) v (b) d (c) -1/6
a
Let j = -6 + 7. Let u be 0 + (2/2 - j). Which is the biggest value? (a) -4 (b) u (c) 2/7
c
Let n be (3/(-6))/(4 + -2). Which is the second smallest value? (a) n (b) 5 (c) 2 (d) 1
d
Let u be -3 - (-20)/(-9)*(-9)/6. Let z = -1 - -3. What is the third biggest value in 0.5, z, u?
u
Let v be (4 + (-12)/8)*14/175. Let d be 2/(-6) + (-26)/(-42). Which is the third smallest value? (a) v (b) 4 (c) d
b
Let s = 8.89 + 0.11. Let o = s + -5. Let y = 1/20 + 17/60. Which is the smallest value? (a) o (b) y (c) 0.4
b
Let f = 68315195604/53329 - 1281014. Let p = -33170624/373303 + f. Let n = -89 - p. Which is the biggest value? (a) n (b) 2/7 (c) 4
c
Let w = 1 - -1. Let m = 7 - 37/5. Which is the third biggest value? (a) m (b) 0 (c) w
a
Let w = -14 - -12. Let s = w + 6. Which is the biggest value? (a) 3 (b) s (c) 1
b
Let m be (64/12)/((-30)/27). Let l = 101/20 + m. Let n = -4 - -2. What is the third biggest value in -0.3, n, l?
n
Let o = 42 + -75. Let j = -199/6 - o. What is the second smallest value in j, 4, 2/3?
2/3
Suppose 3*h = 3*z, -5*z + 5 = -2*h - 10. Let w = 316/465 + -2/155. What is the third biggest value in w, z, -0.2?
-0.2
Let m = 4.9 - 5. Let i(n) = n**2 + 10*n + 9. Let p be i(-9). Which is the smallest value? (a) m (b) -2 (c) p
b
Let s = -1.9 + 2. Let v = 243 + -244. Which is the second biggest value? (a) v (b) -2/7 (c) s
b
Let x = 1.2 + -0.96. Let f = x + -0.34. Which is the third biggest value? (a) 5 (b) f (c) 1/7
b
Suppose 0 = 3*v - 0 - 9. Let l be (-29)/v + (-2)/(-3). Let p be l/2 - 3/6. Which is the second biggest value? (a) 1/5 (b) p (c) 1/2
a
Let i = 5.5 + -2.2. Let a = 3 - i. What is the third biggest value in 0, -5, a?
-5
Let f be 2/6*(-6)/7. Which is the smallest value? (a) 1/8 (b) 0.3 (c) f
c
Let h(q) = q**2 + 8*q + 13. Let i be h(-2). Which is the biggest value? (a) -3 (b) i (c) -5/6 (d) -4
b
Let w = -0.3 - 0.2. Let c = -109/3 + 36. Let f = -10 - -5. What is the second biggest value in c, f, w?
w
Let s be (33/28)/((-24)/(-16)). Let m = -2/7 + s. Let d = -0.03 + 3.03. What is the second biggest value in 2/15, m, d?
m
Let i = -2.2 + -1.8. What is the second biggest value in -3/4, -5/4, 1.3, i?
-3/4
Let l = -4 + 4.1. Let g = l - -0.2. Let t = g + 0.2. What is the third biggest value in t, -2/9, 3?
-2/9
Let m = -18 + -3. Let g = -146/7 - m. Let k = -0.4 + 0.1. What is the third biggest value in -0.5, g, k?
-0.5
Let z = -175/2 - -88. Which is the third biggest value? (a) 4 (b) -5/4 (c) z
b
Let m(o) = -o**3 - 4*o**2 - 2*o - 1. Let h be m(-2). What is the smallest value in h, 0, 0.4, 4?
h
Let u = 0.121 + -0.021. What is the smallest value in u, -4, 0.3, -1/3?
-4
Let q = 7.79 - -0.21. Let t = 6.07 - 0.07. Let h = q - t. Which is the smallest value? (a) -2/3 (b) 0 (c) h
a
Let x = 5.3 + -5. Let g = 0.13 + -1.53. Let j = -1.4 - g. What is the second biggest value in x, j, -3?
j
Let d = 4.107 - 0.187. Let n = -0.08 - d. Let z = -2 + -1. Which is the biggest value? (a) z (b) n (c) 3/4
c
Let y = -2 - -9. Suppose 0 = 2*c - y*c. Let d = 1 - 0.8. What is the second biggest value in c, 4, d?
d
Let l be (-1 + (-8)/(-6))/((-6)/24). What is the smallest value in -3/7, -6, 0, l?
-6
Let y be (-22)/(-2) - (1 + 1). Which is the smallest value? (a) y (b) 0.5 (c) -2/7
c
Let v = 17 + -27. Let r = v - -6. Let n = 8 - 5. What is the biggest value in -0.3, r, n?
n
Let v = -8.1 + 8. Let p = -4 - -3. Let n = -0.5 + 0. Which is the third biggest value? (a) p (b) n (c) v
a
Let q = -3028/25449 - -2/1497. Let p = 0.003 - -7.697. Let y = 8 - p. What is the third smallest value in q, y, -0.4?
y
Let r(m) = 2*m + 3. Let q(p) = -p**2 - 7*p - 3. Let x be q(-7). Let i be r(x). Let s be 2/(-5) - i/20. What is the smallest value in -1, s, -1/5?
-1
Suppose -44 = 9*h + 1. Which is the fourth smallest value? (a) 5 (b) 0 (c) h (d) -3
a
Let u = 29 + -32. What is the second biggest value in -2, 5, u?
-2
Let d = -1.1 - -0.1. Suppose 0 = 3*p + v - 6, 3*p = 12*v - 15*v + 6. What is the smallest value in p, d, 1/5?
d
Let w(m) = m**3 + 4*m**2 + m - 2. Let r be w(-2). Which is the second biggest value? (a) -0.04 (b) -0.4 (c) r
a
Let s = -5/17 + 18/119. Let f = 4 + -3.8. What is the third smallest value in f, s, 0.5?
0.5
Let l = -6 - -28/5. What is the biggest value in 4, l, -0.03?
4
Let o = -9 - -20. Let i = -10.6 + o. Let y = -1 + 4. Which is the smallest value? (a) y (b) i (c) 2/7
c
Let j = 154 + -153.8. Let d(p) = p. Let l be d(-3). Which is the second biggest value? (a) l (b) 3 (c) j
c
Let l = 1.4 - 0.9. Which is the second biggest value? (a) l (b) 2 (c) 0.4
a
Let g = -18 - -30. Let p = g - 14. What is the smallest value in 4, 1, p?
p
Suppose -2*h - w + 17 = 2, 3*h + w = 20. Which is the second smallest value? (a) 0 (b) 2/13 (c) h
b
Let n be (-10)/(-8) + 1 + -2. What is the biggest value in n, 5/3, 0.03?
5/3
Let j = -16.2 + 15. Let a = -0.2 - j. Let w = -3 - -3. What is the third biggest value in 2/21, a, w?
w
Suppose 2*o - 4 = 2. What is the third smallest value in 4/5, 0.1, -0.1, o?
4/5
Let z = 5 - 0. Let y = -3 - 0. What is the third biggest value in y, -0.5, z?
y
Let u = -18 + 13. Let w = 1.94 + 0.06. Which is the third smallest value? (a) u (b) -4 (c) w
c
Let u = 2/39 - 170/273. Let n be (-16)/42*3/(-2). What is the third biggest value in n, u, -3?
-3
Let w be 20/(-63) - 2/18. What is the second smallest value in 2/3, -5, w?
w
Let r = 11 - 15. Let l be r/14*(-14)/30. Let s = -3 - -1. Which is the third biggest value? (a) 3/2 (b) s (c) l
b
Let h = -5 - -2. Let q = -1 + h. Which is the third smallest value? (a) -1/10 (b) 3/7 (c) q
b
Let q = -91 - -93. Let u = -5 + 3. Which is the second biggest value? (a) u (b) -2/11 (c) q
b
Let l = 11.6 + -12. Let p = 0 + -0.1. Let x = 0 + p. What is the smallest value in 0, x, l?
l
Let l be 13/(-28) + (-8)/28. Which is the second smallest value? (a) 0.2 (b) 1 (c) l
a
Let u = 1.3 + -1.3. What is the second biggest value in 5, u, 1?
1
Let h(d) = d + 2. Suppose -3*a + 5*y - 26 = 0, -5*a - 2*y + 2 = y. Let r be h(a). What is the second biggest value in -1, r, -9?
-1
Let u = -2978/119 + 176/7. Which is the fourth biggest value? (a) -0.03 (b) u (c) -2 (d) -1
c
Suppose 2*z = -10, -z - 13 = 3*y + 4*z. Suppose -7 + 27 = y*n. Which is the second biggest value? (a) -2/11 (b) 0.5 (c) n
b
Let q = 3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
he greatest common divisor of w and 83?
83
Suppose -67 = 6*o + 41. Let j = o + 21. What is the highest common factor of j and 33?
3
Let z(i) = i**3 - 9*i**2 + 9*i - 8. Let u be z(9). What is the greatest common divisor of 73 and u?
73
Let l = 5 + -2. Suppose h - 9 = -0*h + l*c, -3*c = 5*h - 9. Suppose -2*n = y - 70, -142 = -2*y - 8*n + h*n. What is the highest common divisor of y and 22?
22
Let c be 56*5/10 - (7 - 3). Calculate the greatest common factor of 40 and c.
8
Let i(r) = r**3 + 5*r**2 + 15*r - 24. Let b be i(4). Let s(l) = 5*l**2 + l. Let j be s(-2). Calculate the highest common factor of b and j.
18
Suppose -31*d + 36*d - 220 = 0. Let o = d - -36. Calculate the greatest common divisor of o and 10.
10
Let v be 3 + (0 - 1)*-2. Suppose 0 = -2*a + v*a - 54. Let n = 23 - a. What is the greatest common factor of n and 55?
5
Let t be (189/14)/9*16. Calculate the greatest common divisor of 132 and t.
12
Let v(m) = -m + 28. Let j be v(8). Suppose -4*c - 419 = -1059. What is the greatest common divisor of j and c?
20
Let x be 6/8*2*(-11 + 13). Suppose -x*a + u + 45 = -0*u, 4*a - 2*u = 60. Calculate the highest common divisor of 75 and a.
15
Let g(r) = -29*r**3 + 3*r**2 - 2*r - 4. Let q be g(-3). What is the greatest common divisor of 28 and q?
28
Let f(x) = -2*x + 2. Let w be f(1). Let g(a) = -a**3 + 6*a**2 - 2*a - 3. Let j be g(6). Let i be (w - j)*10/2. What is the greatest common factor of i and 15?
15
Suppose -2*d + 6 = -2. Suppose d*m - 340 = -4*p, -p + 4*m + 89 = 29. Calculate the highest common factor of 20 and p.
20
Let b(n) = -n + 3. Let p be b(-3). Let y be 4/32 + (-62)/(-16). Suppose y*o + 48 = 5*o. Calculate the greatest common divisor of o and p.
6
Suppose -5*x = -405 + 30. Let y = 125 - x. Let v(u) = 19*u**3 + 2*u**2 - u. Let t be v(1). What is the greatest common factor of y and t?
10
Let g = -386 - -611. Suppose -k + g = 5. Suppose -80 = f - 3*f - 2*u, 0 = -5*f - u + k. Calculate the greatest common factor of 30 and f.
15
Let g = -30 - -19. Let j(b) = -b**2 - 14*b - 28. Let v be j(g). Calculate the greatest common factor of v and 5.
5
Let d be (-2)/9 + (-3)/((-162)/3630). Calculate the highest common divisor of d and 134.
67
Let f = -3 - -7. Let m(r) = 4*r + 12. Let y be m(2). Calculate the highest common divisor of y and f.
4
Suppose 65 = -22*a + 131. Let i be (-58)/(-6) + 10/(-15). What is the highest common divisor of a and i?
3
Suppose -3*n - 3*q = -0*q - 30, -3*n = -5*q - 14. Suppose -2*d = -d - 14. Suppose 0 = -7*z + d - 7. What is the highest common factor of n and z?
1
Let s(i) = 37*i - 2. Let u be s(1). Let m = 18 - 30. Let j = m + 19. Calculate the highest common divisor of u and j.
7
Let z(i) = -i**2 - 12*i + 25. Let d be z(-14). Let f be d/(-5) + -1 - (-35)/25. Suppose 8 = q - x + 3, 4*q = -x. What is the highest common divisor of f and q?
1
Let w be (-619)/(-2) - 13/(-26). Let f = w + -148. What is the greatest common factor of f and 27?
27
Let j be 3600/162 + (-2)/9. Calculate the highest common factor of 33 and j.
11
Let r = 59 + -33. Let m = r - 12. Suppose -2*p + 7*p = 490. Calculate the greatest common factor of p and m.
14
Let p = 24 + -10. Suppose -2*n = -5*l - 0*n + 259, -l + 2*n + 47 = 0. Let j = l - 32. What is the greatest common factor of j and p?
7
Suppose -7 - 11 = -2*o - 2*k, o - 27 = 5*k. Let l be 183 + 1 + (-3 - -1). Let j = l + -86. Calculate the highest common factor of j and o.
12
Let z be ((-1)/2*1)/(1/8). Let g be z - 39/(-9) - 46/(-6). What is the greatest common factor of 16 and g?
8
Let o(p) = p**2 - p. Let m(g) = -g**3 + 15*g**2 - 7*g + 13. Let f(y) = -m(y) - 2*o(y). Let n be f(18). What is the greatest common factor of n and 43?
43
Suppose 4*n = 3*d + 288, 4 = -5*d + 24. What is the greatest common factor of n and 325?
25
Let v = 1036 - 1016. Calculate the greatest common factor of v and 32.
4
Suppose 4*s = -0*v + 3*v - 4879, 3*v - 5*s = 4880. Calculate the highest common factor of 25 and v.
25
Let r = -48 + 81. What is the highest common factor of r and 6?
3
Suppose 165*p = 155*p + 1020. What is the highest common divisor of p and 6?
6
Suppose 7*f = -3*f - 80. Let d(o) = o**2 - 42. Let t be d(f). What is the highest common divisor of 11 and t?
11
Let b be (-465)/(-5 + 28/8). Calculate the highest common divisor of b and 30.
10
Let i(u) = 3*u - 4. Let a be i(5). Let w(f) = -12*f**2 - 2 + 13*f + 0 + f**3 + 3. Let j be w(a). Calculate the greatest common factor of j and 184.
23
Let x(f) = f**2 - 6*f + 1. Let q = 14 + -7. Let s = 0 + q. Let v be x(s). What is the greatest common divisor of 32 and v?
8
Suppose -2*a - 5*o = -178, -111 = -a - 77*o + 80*o. What is the highest common divisor of a and 330?
33
Suppose -108 - 132 = -10*u. Let c be 50/15*(-432)/(-10). Suppose c = 3*d + d. Calculate the highest common factor of d and u.
12
Let p be ((-425)/10 + 1)*-2. Suppose 4*u + p = 99. Let d(m) = -m**3 + 3*m**2 + 3*m - 3. Let w be d(3). What is the greatest common divisor of w and u?
2
Suppose -3*f + 3*f = 11*f. Suppose -5*r + 3*r + 26 = 3*k, -2*k + 4*r - 4 = f. What is the highest common divisor of 24 and k?
6
Let x = 17 + -21. Let c(l) = -10*l - 4. Let t be c(x). What is the highest common factor of 9 and t?
9
Let o be (-92)/(-3) + -11*9/(-297). Calculate the greatest common factor of 31 and o.
31
Let x be -6 + (-27)/(-5) - (-106)/10. Let l(i) = -7*i - i - i**2 + 6*i**2 + 5. Let h be l(5). What is the highest common factor of x and h?
10
Suppose 105 = -n + 6*n. Let q be ((-45)/(-30) + (-1)/1)*4. Suppose p - 2*c = 16, 40 = p + 2*p + q*c. Calculate the greatest common factor of n and p.
7
Let d = 2144 + -2121. Suppose 2*i + 516 = 2*v - 0*v, -i = 3*v - 754. What is the greatest common factor of v and d?
23
Suppose -6160 = -56*u + 34*u. Calculate the greatest common divisor of u and 120.
40
Suppose -2*r - 1 = -7. Suppose -r*c - 2*o = -120, 46 = 4*c - 2*o - 128. What is the highest common factor of 28 and c?
14
Let x(u) = u**3 + 18*u**2 + 21*u + 32. Let i be x(-15). What is the highest common factor of 49 and i?
49
Let v(i) = -8*i**3 - 2*i + 1. Let d be v(1). Let g be (-2 - 1)*69/d. Let f(c) = -27*c - 28. Let q be f(-7). What is the greatest common divisor of g and q?
23
Let g(q) = -55*q**3 + 2*q**2 - 1. Let i be g(-1). Suppose 6*t - 419 = -335. Calculate the greatest common divisor of t and i.
14
Let g = -168 + 180. Calculate the greatest common factor of 4 and g.
4
Let a(s) = 2*s - 5. Let u be a(5). Suppose u*g + 62 = f, f = -2*f - 2*g + 118. Let k = -12 + 40. Calculate the highest common divisor of f and k.
14
Suppose 4*p + 10*p = 126. Let k = -1 + 46. What is the greatest common divisor of p and k?
9
Let l(y) = 79*y - 460. Let b be l(7). What is the greatest common divisor of b and 3?
3
Let j be -5 + 1 - (-64 - (10 + -5)). Calculate the highest common divisor of 221 and j.
13
Let s(w) = 8*w**2 - 1 - 11*w + 7 + 20*w + w**3. Let n be s(-6). Let j = -16 + n. What is the highest common factor of 12 and j?
4
Suppose -2315 = -5*z - 1845. Calculate the highest common factor of z and 2162.
94
Let b(a) = 28*a - 1. Let p be b(-1). Let c = p - -41. Suppose 14*k - 19*k = -4*u - 244, -k + 50 = -2*u. What is the greatest common factor of c and k?
12
Suppose -8*s + 86 = -6*s + 2*y, y = -1. What is the greatest common divisor of s and 352?
44
Let n = 285 - 140. Suppose 11*i + n = 1003. What is the highest common factor of i and 39?
39
Let v be (14/7)/((-1)/(-77)). Let k be (v/3)/(5/15). Calculate the greatest common factor of 22 and k.
22
Suppose 0 = -4*k + 3*q + 1126, -q - 1021 + 179 = -3*k. What is the greatest common divisor of 84 and k?
28
Suppose 14*q = 104 + 64. Calculate the greatest common divisor of q and 300.
12
Let j(q) = -q**3 - 5*q**2 + 5*q - 6. Let r be j(-6). Suppose r*o + 48 = 4*o. Let l = 16 - o. Calculate the greatest common divisor of l and 2.
2
Suppose 0 = 4*f - 345 + 165. What is the highest common factor of f and 153?
9
Let w be 39/(-2)*(-132)/9. Let u be (3 + 25/10 + -5)*52. Calculate the greatest common factor of w and u.
26
Suppose -4*y = -8*y - 4*b + 172, -2*y + 116 = -4*b. Suppose -5*x = -3*x - y. What is the highest common divisor of 3 and x?
3
Let l = -813 - -817. What is the highest common divisor of l and 198?
2
Let w = 105 - 109. Let u be 9 + w + 0 + 7. What is the greatest c
|
{
"pile_set_name": "DM Mathematics"
}
|
be c(-5). Calculate the common denominator of 1*(k/(-21))/(-3) and 0/3 + (-60)/14.
7
Let i = 32897/12732 - 1/2122. What is the common denominator of -89/2 and i?
12
What is the common denominator of 81/20 and ((-18)/4)/(2/6)?
20
Calculate the common denominator of -58/5 and (-4)/(-14)*2240/456.
285
Let b = -8998 + 162061/18. Calculate the common denominator of -1 + ((-133)/(-12))/1 and b.
36
Let q(h) = h**3 + 4*h**2 - 6*h - 1. Let l(j) = 2*j + 2. Let g = 16 + -12. What is the smallest common multiple of l(g) and q(-5)?
20
Find the common denominator of (54/16)/(22/8) and (26/(-5))/((-32)/(-100)).
44
Let b = -885/2 + 418. Calculate the common denominator of b and 127/6.
6
Let l = -168 - -303. Let n be 508/6 - (-1)/3. Suppose -5*u = n + l. Find the common denominator of 21 and u.
1
Let q be 1/(2 - 5/3). Calculate the common denominator of 57/14 and 1/q*(-1422)/60.
70
Let a be (-6)/(-10) - (-1039)/(-1735). Let k = a + -22561/5205. What is the common denominator of k and 61/16?
48
Let m = 12 - 8. Suppose 1 - 2 = -t. What is the lowest common multiple of m and t?
4
Let c(n) = -n**2 - 13*n + 41. What is the least common multiple of (5/(-3))/(2/(-6)) and c(-15)?
55
Let a = 91 - 69. Calculate the smallest common multiple of 14 and a.
154
What is the common denominator of 1 + 1/3*-41 and 33/7?
21
Suppose j - 5 = 4*v, -6*j + 2*j = 2*v - 2. Suppose 5*o - 20 = 5. Suppose 4*a - o*a = 12. Calculate the common denominator of v and a.
1
Let m = -14486461/6 + 2409048. Let h = m + 5380. Calculate the common denominator of 1 - 1 - (-114)/4 and h.
6
Let r = 232 - 76. Find the common denominator of -56/9 and (-951)/r + 6/(-39).
36
Let d be (-5 - -4) + -169 + -1. Find the common denominator of -1 + 0 + d/48 and (-45)/12*28/(-66).
176
Let b(i) = -4*i + 1. Let n be b(1). Let a(p) be the second derivative of -p**3/2 - p**2 + 2*p. What is the least common multiple of 7 and a(n)?
7
Let o = 36680/9 + -4081. Calculate the common denominator of o and -2 - (7/10 + -1).
90
Suppose 0 = -5*h - s + 15, h + 5*s = -0*s + 3. Let c = 3 - -3. Suppose -h*t + 6 = -c. What is the lowest common multiple of t and 14?
28
Let k(z) = 2*z - 11. Suppose 2*h = -2*h + 4. What is the smallest common multiple of h and k(7)?
3
Let u = -16589/18 + 923. What is the common denominator of u and 81/22?
198
Let l(s) = 15*s. Let j be l(-1). Let f be 1/5 + (-22812)/j. Let t = -10677/7 + f. Calculate the common denominator of t and -5/9.
63
Let a = 64/33 + -917/660. Find the common denominator of a and 21/2.
20
Let u(x) = x**3 - 4*x**2 + 2*x. What is the least common multiple of u(4) and 5?
40
Let z be 1268/36 - 4/18. Suppose -y + z = 4*y. Calculate the least common multiple of y and 6.
42
Let u be 0 + (-3)/(24/(-44009)). Let m = u + -5492. Find the common denominator of m and -47/8.
8
Suppose 4*x = 4 + 8. What is the smallest common multiple of 4 and x + (-1 + 2)*-2?
4
Let c(r) = -r**3 - 7*r**2 - 2*r - 6. What is the least common multiple of 16 and c(-7)?
16
Let y = 119/37 + -2755/592. Find the common denominator of y and -1/4.
16
Let x = 33949/140 + -1688/7. Find the common denominator of -101/8 and x.
40
Calculate the common denominator of 825/(-20)*(0 - 2/36) and -49/12.
24
Let h = 2825/2 - 1370. Suppose 2*x + 2*x = 8, 82 = -k - 2*x. Find the common denominator of 3 + -3 + k/(-20) and h.
10
Suppose 4*i + 8 = 0, -h - 50 = -3*h - 3*i. Suppose -2*r + h = -n, 0 = -3*r - r - 5*n + 28. Calculate the least common multiple of r and 4.
12
Let g = 51 + -48. Calculate the lowest common multiple of 7 and g.
21
Let d be (-1)/3 - 676319/(-54468). Let s = -2/13617 + d. Calculate the common denominator of s and -21/16.
48
Let p = -4220 - -25187/6. Find the common denominator of (41/(-20) + 2)/(-1) and p.
60
Let g(m) = m**2 + 10*m - 17. Calculate the least common multiple of g(-13) and 2.
22
Suppose 4*d = 2*b + 9860, 4*d - 3 = 1. Let k = b - -98493/20. Find the common denominator of -59/78 and k.
780
Calculate the common denominator of 1 + (0 - 10/(-44))*15 and 1 + -1 + 70/(-24).
132
Let y(i) = -i + 8. Let z be y(6). Calculate the common denominator of z/(-8) + 141/(-44) and 30/11.
11
What is the common denominator of ((-2)/(-3))/((-6)/(-17)) and (-285)/(-12) - (11 - 6)?
36
Let g = 101/6 + -117/4. What is the common denominator of g and 2 + 1 + 110/12?
12
Let f = -78 - -791/10. Calculate the common denominator of -37/122 and f.
610
Let z = -433456588/45 + 9632754. Let k = 1903/5 - z. Find the common denominator of 35/9 and k.
9
Let m = -749/1746 - 3/194. Calculate the common denominator of m and ((-88)/(-288))/((-4)/32).
9
Let w(f) be the third derivative of -f**5/60 - 7*f**4/24 - 2*f**3/3 - 3*f**2. What is the lowest common multiple of (-2)/(0 + -2) - -6 and w(-3)?
56
Let h(m) = 13*m**2 - 1. Calculate the least common multiple of ((-8)/6)/((-7)/(252/8)) and h(-1).
12
Let u = -42560089/2583 - -16477. Let k = u - 14641/5166. Calculate the common denominator of 33/4 and k.
12
Let h = -8 - -20. Let c = -19 + 39. What is the least common multiple of h and c?
60
Let s(o) = -o**2 - 6*o + 3. Calculate the lowest common multiple of 1 and s(-5).
8
Let g be (-5 - -1) + -3 + 3. Calculate the common denominator of ((-2)/(-15))/(g/(-117)) and -99/2.
10
Let t = -1 - -5. Let c = 5 - -31. Suppose t*a + c = 6*a. Calculate the smallest common multiple of 22 and a.
198
Let t = 101189/9830 - -6/983. Find the common denominator of t and 29/35.
70
Let j = -8509/8 + 1069. Calculate the common denominator of j and -2/3.
24
Suppose -2*d + 3*a = 12, 2 = d + a + 3. Let p = d - 1. Calculate the least common multiple of (-2)/(-8) - 31/p and 6.
24
What is the common denominator of 13/8 and 101/(-30) - (-16)/80?
24
Let x = -63 - 81. Let p = -3605 - -50439/14. Calculate the common denominator of -2*15/x*10 and p.
84
Suppose 4*j + 13 = -3*m + 108, 4*m = 4*j - 60. Suppose 2215*x + 32 = 2219*x. Calculate the least common multiple of j and x.
40
Let g(f) = -f + 22. What is the lowest common multiple of g(-6) and 40?
280
Calculate the least common multiple of 30 and (-9)/(-6)*3/(-9)*-24.
60
Let s = 22 - 10. Let x(m) = m + 27. What is the lowest common multiple of s and x(-5)?
132
Let u(s) = -35*s + 2. Calculate the lowest common multiple of 4 and u(-2).
72
Suppose 0*o + 4*o - 68 = 2*t, 16 = -4*t. Let y be ((-2)/(-3))/(5/o). Suppose -y*q = -5*q + 6. What is the smallest common multiple of q and 9?
18
Let n(s) = s**2 + 4*s + 2. Let i be n(-4). Suppose -i*a = 2*a - 36. Suppose -18 = -5*h + 3*h. Calculate the smallest common multiple of h and a.
9
Let f = 227977/48510 + 2/4851. Let w = -789 + 11071/14. Find the common denominator of f and w.
70
Let c = 1/49 - 1432/539. Calculate the common denominator of c and -31.
11
Let w(l) = -2*l + 7. Let r be w(7). Let z = -1 - r. Calculate the common denominator of 28/z*(-60)/88 and 1/3.
33
Suppose 5*t - 69 = 2*w + 35, 38 = 2*t - 2*w. Let q = -23 + 11. Let o = -6 - q. Calculate the smallest common multiple of t and o.
66
What is the common denominator of -31/14 and (-1)/3 + (-1715)/300?
140
Let h = 4 - 2. Let p(f) = -f**3 + 9*f**2 - 7*f - 6. Calculate the smallest common multiple of h and p(8).
2
Let v(f) = -3*f**3 - 13*f**2 + 7*f - 1. What is the smallest common multiple of v(-5) and 46?
322
What is the common denominator of 10/(-75) + (-193)/(-30) and (-14)/32 - 1/(-2)?
80
Let d(s) = -2*s - 2. Let u be d(2). What is the common denominator of ((-174)/(-100))/(u/(-5)) and 67/18?
180
Let z(s) = s + 7. Let a be z(-7). Suppose -2*q + 41 = -5*j, -q + j + 21 - 8 = a. Calculate the smallest common multiple of q and 18.
72
Let q(g) = -g + 13. Let k be q(11). Suppose -61 = -k*n - 17. Calculate the least common multiple of 10 and n.
110
Let l = -521/784 - -5/49. Let v = 4621/20526 + 2/933. Find the common denominator of v and l.
176
Let w = -886 + 610. Let t be (-350)/(((-4)/(-3))/(-1)). Let u = t + w. What is the common denominator of 19/20 and u?
20
Let o = 17501/778 - -2/389. Calculate the common denominator of o and -17/4.
4
Let x = 14 - -1. Suppose -j = -4*j + x. Suppose -j*d + 4*y = -0*y - 26, -4*d = -y - 12. What is the smallest common multiple of d and 8?
8
Suppose -3*u - 2 - 81 = k, -u = 3*k + 25. Let n be (u/12)/(22/(-22482)). Let v = n + -2389. Calculate the common denominator of v and -3/10.
110
Let c(s) = 30*s*
|
{
"pile_set_name": "DM Mathematics"
}
|
g + 1191723 + 6844224. Is g prime?
False
Suppose -3180 + 15 = -3*v. Suppose -v = 4*d + 5509. Let x = 2960 + d. Is x prime?
True
Let w(t) = -14 - 4*t + 18 + 7*t + t**2. Let d be w(-4). Is (3 + 26124/d)*4/6 prime?
True
Let q(y) = 11*y + 4. Let x be q(-2). Let n(c) = 2*c**2 - 17*c - 33. Let h be n(x). Let z = h - 548. Is z a composite number?
False
Let j = -25 - -10. Let t = -9 - j. Let m(w) = 13*w + 5. Is m(t) composite?
False
Let k(x) = -32*x + 3. Let v(b) = 2*b**3 + 2*b**2. Let f be v(-3). Let j be ((-8)/f + (-113)/(-18))*-2. Is k(j) a composite number?
False
Let n be -4*(-4 - (-12)/4). Suppose 4*f + 10*o - 14352 = 6*o, n*o + 10757 = 3*f. Is f a prime number?
False
Suppose -9*n + 0*n = -81. Suppose -11 = -4*t - b, 3*t - 5*b = 5 + n. Suppose -10 = -2*i, -484 + 1431 = t*w + i. Is w composite?
True
Let v(l) = l - 4. Let m be v(1). Let g be (-21)/84 - (-9)/4*m. Is 9950/3 - g/21 a prime number?
False
Let d = 547460 - 274543. Is d composite?
False
Suppose -c = u - 90782, 47*u = 3*c + 44*u - 272376. Is c composite?
False
Suppose -47732 = -10*f + 443848. Suppose -4926 = -4*d + f. Is d prime?
False
Suppose -8*p = 36 - 108. Suppose 3*z + q - 43 = -p, 38 = 3*z - q. Suppose z*k - 618 = 7074. Is k a composite number?
False
Let h = 404230 + -225549. Is h composite?
False
Let x be 6626/((-1)/2*4). Let r = -1800 - x. Is r prime?
False
Is ((-160)/(-15))/32*(-864222)/(-2) a prime number?
True
Suppose 216*b + 9 = 219*b. Suppose -s = 5*f - 46194, b*s - 22427 = -2*f - 3952. Is f prime?
True
Let i be -2 + 0 - (-33 + -965). Is -26*(8 + i/(-8)) composite?
True
Let d(g) = 23*g**3 - g**2 - 7*g + 9. Let r be d(2). Suppose 4*q + q + 490 = 0. Let y = r + q. Is y prime?
False
Let h = -5336 - 8975. Let l be (-1 - -2 - h) + -1 + 0. Suppose -v = -3*z + 3*v + 8591, -5*z = -3*v - l. Is z a composite number?
False
Let a = -480 - -483. Is 1519 - -18 - (a - 2 - 1) composite?
True
Let d(o) = -22*o + 32. Let q be d(1). Is 18892/q + (-11)/55 a prime number?
True
Is ((-6)/(-4))/(756/12072312) a composite number?
True
Suppose -16245 = 4*g + 2*x + 47271, 3*g - 2*x + 47651 = 0. Let j = -8382 - g. Is j a prime number?
True
Is 12 + ((-11)/22*-91610)/1 a composite number?
False
Let z(m) = 42*m**3 + 9*m**2 - 176*m + 1031. Is z(6) a prime number?
True
Suppose -3*i + b = -3*b - 17, 4*i - 25 = 3*b. Suppose 0 = 4*j - i*j - 3, -4*x + 52893 = -j. Is x a composite number?
True
Let k(x) be the first derivative of x**4/4 + 5*x**3/3 + 7*x**2/2 + 14*x + 5. Let q be k(-4). Suppose -q*j + 177 = -77. Is j composite?
False
Let q be ((-2116)/10 - -2)/((-18)/45). Suppose -2*w - 1966 = q. Let v = -710 - w. Is v a prime number?
False
Let t = 238881 + 119096. Is t a composite number?
False
Suppose -86*r + 8*r + 34870586 = -40*r. Is r composite?
True
Suppose 0 = 289*b - 299*b. Let f(w) = 4*w**2 + w. Let d be f(-1). Suppose 3*p + d - 372 = b. Is p composite?
True
Let p be ((-142354)/2)/((-1254)/252 + 5). Is 2/12 - p/252 a prime number?
True
Let s(j) = -10*j + 203. Let x be s(20). Let u = -8 + 13. Suppose -u*o + 2104 = x*o. Is o a prime number?
True
Suppose 69*j = 78*j - 5940. Suppose -5*p + 2*v + j = -1803, -2*p + 982 = -4*v. Is p a prime number?
False
Let v be 16/(-20)*(-7 + 2). Suppose -v*h + 3*d - 7505 = 0, 2*d = -0*h - 2*h - 3770. Let l = 2697 + h. Is l composite?
True
Let k be -24*(39/(-6) - -7). Is (1602/(-72))/(1/k) composite?
True
Suppose 41 = 2*d - 2*i - 375, -4*d + 830 = -5*i. Suppose 213*m - d*m = 17211. Is m prime?
True
Suppose 431*s = 427*s + 8. Let r be (-2)/(-6) - (-1341)/27. Suppose 0 = -n + s, q = 2*n - r + 209. Is q a composite number?
False
Let d(r) = 76*r**3 - 4*r**2 - 3*r + 1. Suppose -3*u - 2*s = -2*u - 2, 5*u - 5*s = 10. Is d(u) a prime number?
True
Suppose 17*t = 16*t - 2908. Let l = -969 - t. Is l prime?
False
Let f(z) = 2*z**3 - 15*z**2 + 7*z. Let n be f(7). Suppose 0 = -5*h - 5*x + 24860, x - 24872 = -5*h - n*x. Let q = h + -3312. Is q a composite number?
False
Let o(p) = p**2 + 35*p + 22. Let b be o(28). Let h = b - -3151. Is h a prime number?
True
Let o = 1 - -29. Let t(z) = 314*z + 41. Is t(o) composite?
False
Suppose -2*u - 2*h + 76 = u, 4*u - 103 = -h. Let t be 1956/(-39) - (-4)/u. Is (12660/t)/((-4)/10) a prime number?
False
Let s(b) = 7*b**3 - 89*b**2 + 130*b + 11. Is s(27) a prime number?
True
Let n = 249658 - 65987. Is n composite?
True
Suppose 4*p = 2*p, p = -3*h - 3*p + 1159377. Is h a prime number?
False
Suppose 4*x - 4*p = -1912, -x + 5*p = 17 + 461. Let h = x - -2385. Is 8/(16/h) - (-2)/(-4) a composite number?
False
Suppose -5*u - 2*q - 33 = 0, 20 = -4*q + 4. Let o(g) = 4*g**2 + 5 - 2 - 4*g + 5 + 6*g**2 - g**2. Is o(u) a composite number?
True
Suppose 5*u + 14*u = 272479. Suppose -5*h + u = -14164. Is h composite?
False
Suppose 2*n - 843219 = -5*q, -3*q - 908928 = -4*n + 777601. Is n a prime number?
False
Suppose -2*p - 26 = -4*p. Let q(w) = -3*w + 39. Let h be q(p). Suppose h = 5*d - 1224 - 3161. Is d prime?
True
Suppose -22 - 8 = -3*g. Suppose -97 = -g*c + 83. Is (746/(-1))/(c/(-27)) composite?
True
Let f(r) = -2*r**2 + 675*r + r**3 - 674*r + 0*r**2. Let v be f(2). Suppose 26 = v*x + 4*l, -x + 5*x + l = 59. Is x prime?
False
Let z be 9*-1*(2 + (-10)/3). Suppose 7*u - z*u = 500. Let y = u + 287. Is y composite?
True
Let q = 2885 - -564. Suppose i + 2 = 0, -5*m + 3*i + q = i. Is m composite?
True
Suppose -537193 = -6*i + 52049. Is i a composite number?
False
Let n(s) = s**2 - s - 1. Let g(o) = -2*o**2 + 7*o + 4. Let d(b) = -g(b) - 3*n(b). Let l be d(-2). Suppose -61 = -l*h + 284. Is h composite?
True
Suppose -3 + 0 = -3*a. Let t be (-2 - 1) + (11 - a). Suppose 6376 = t*z + z. Is z prime?
True
Let c be (3/2)/3*(28 - 12). Is ((-2)/c)/((-1)/556) prime?
True
Let r(l) = -l**3 + l**2 + 2*l + 86. Let n be r(0). Let w(q) = -2*q + 59. Let t be w(27). Suppose -t*j + 2*v + 109 + n = 0, 2*j + v - 69 = 0. Is j composite?
False
Suppose -2*h = -4*r + 55160, 325 = h + 323. Is r a composite number?
True
Let h = 565 - 547. Suppose 407 + 13327 = h*f. Is f a prime number?
False
Let k = -811421 + 1564362. Is k a prime number?
False
Let l(t) = 313*t + 41. Let p be l(-5). Let o = p + 5155. Is o prime?
True
Let f be ((-9)/(18/40))/(-2 + 0). Suppose f*z = 13*z - 1113. Is z a composite number?
True
Suppose 4317079 = -5*n + 9*n + y, 6*n = 4*y + 6475602. Is n prime?
True
Suppose -28 + 402 = s. Let a = s - -1379. Is a a composite number?
False
Let y = 24708 - -57475. Is y composite?
False
Let c(i) = 14*i**3 - 2*i**2 + 5*i - 22. Let u be 1 - (-18)/(-14) - 185/(-35). Is c(u) a composite number?
True
Suppose -r = 0, -2*u - 4*r = -2*r - 466. Let l(q) = -2*q + u*q**2 + 377*q**2 + 61*q**2. Is l(1) composite?
True
Suppose -r - 147665 = s - 4*s, 3*r - 49225 = -s. Is s prime?
False
Let c(l) = -8*l**3 - 6*l**2 + l - 653. Is c(-34) prime?
True
Suppose 4*x - 2*x = -q + 9791, 0 = -2*q + 5*x + 19582. Is q composite?
False
Let z be ((-44)/(-6))/(2/24*2). Suppose -12*d + d = -z. Suppose 1524 = d*s - 344. Is s a prime number?
True
Suppose -27*i + 32*i = 645. Let x = i + -121. Suppose -2*c - x = 0, -g + 3*c = 3*g - 5184. Is g a composite number?
True
Suppose 0 = -118*b + 121*b + 4*z - 1635561, 0 = -2*b - 5*z + 1090367. Is b a composite number?
True
Suppose 104*i - 111*i + 168 = 0. Is 195534/i + 1/(-4) composite?
False
Let g(q) = 2512*q**3 - 3*q + 6. Let m(a) = 1675*a**3 - 2*a + 4. Let y(p) = -5*g(p) + 8*m(p). Is y(1) prime?
False
Let r = 9 - 1. Suppose r*h - 2096 = -0*h. Let f = h - 175. Is f a composite number?
True
Let k = -187 + 411. Suppose 4*s + 2*z - k = 0, -s = -4*z + 8*z - 49. Suppose 3*x = 0, -8*x + s = 3*g - 4*x. Is g prime?
True
Let p be (-4)/(2/12*-8). Suppose p*q - 27753 = -3*w, 2*w + 5*q - 7302 = 11194. Is w composite?
True
Let t(r) = -4*r**2 + 19*r - 15. Let p be t(5). Let m(i) = i**2 + 6*i - 117. Is m(p) prime?
True
Let d(o) be the second derivative of -7*o**5/20 + o**4/6 + 2*o**2 - 5*o. Let x be 2 + (6/(-9)*9 - -1). Is d(x) composite?
False
Suppose b = 4*h - 1 - 2, -4*b = 3*h + 12. Let w be 3/1 - (-2 - -2255)/b. Suppose 3*y = w - 181. Is y composite?
False
Let i = 330 + -335. Let c(u) = -135*u**3 + 6*u**2 + 5*u + 11. Is c(i) a prime number?
True
Is (-10192334)/426*(2 - 11) a composite number?
True
Let r = 6245 + -307. Is r a prime number?
False
Suppose 13*b = 11*b + 5412. Suppose 2*r + 5*v = -0*r
|
{
"pile_set_name": "DM Mathematics"
}
|
-p**2*s**3 - p**2*s**2 - 23*p**2*s - 210*s**3 + 31 wrt s.
-6*p**2*s - 2*p**2 - 1260*s
Find the third derivative of -f**3*o**4 + f**3*o**3 + 5*f**3*o + 13*f + o**2 wrt o.
-24*f**3*o + 6*f**3
Find the third derivative of -3*j**3*m + 15*j**3*q - j**3 - 2*j**2*m*q - 26*j*m + 2*m wrt j.
-18*m + 90*q - 6
What is the first derivative of -21*o**3 + 2*o**2 - 573 wrt o?
-63*o**2 + 4*o
What is the derivative of 5*i**3 + 173*i**2 + 3*i + 22398 wrt i?
15*i**2 + 346*i + 3
What is the second derivative of -141*h**3*u**2 + 2*h**2*u + 99*h*u**2 wrt h?
-846*h*u**2 + 4*u
Find the third derivative of -2*g**3*s**3 - 8*g**3*s**2 + 28*g**2*s**2 - s**5 + 2*s**3 wrt s.
-12*g**3 - 60*s**2 + 12
Find the second derivative of 30*y**4 - 2*y**3 + 8*y**2 - 9422*y wrt y.
360*y**2 - 12*y + 16
Differentiate 21507*d**4 + 1576.
86028*d**3
Find the second derivative of -124*p**2 - 352*p.
-248
What is the derivative of 627*o**4 - 501 wrt o?
2508*o**3
What is the second derivative of -42*f**2*y**2 - 18*f**2 - 6*f*y**2 - 8*y wrt y?
-84*f**2 - 12*f
Find the third derivative of 2*y**4 + 390*y**3 + 2125*y**2 wrt y.
48*y + 2340
What is the derivative of -1437*j**3 - 3566?
-4311*j**2
What is the third derivative of -800*d**3*o**3 + d**3*o**2 - d**3*o + 4*d**2*o + 38*d*o**3 wrt d?
-4800*o**3 + 6*o**2 - 6*o
Find the third derivative of 328*y**6 - 121*y**2.
39360*y**3
Find the third derivative of 368*h**3*p + 5*h**2*p + h*p + 5 wrt h.
2208*p
What is the second derivative of 253*o**2*q**2 + o*q + 3*o + 4*q**2 wrt o?
506*q**2
Find the third derivative of 211*c**3 + 110*c**2 wrt c.
1266
Find the second derivative of -84*c**3*r**2 + c**3*r - 2*c**2*r**2 - 6*c*r**2 + c*r - 7*r**2 wrt c.
-504*c*r**2 + 6*c*r - 4*r**2
Find the third derivative of -2*j**3*s**3 - 56*j**3*z + 3*j**2*s**2*z + 4*j*s**2*z - 13*j*s*z + 2*s**3*z wrt j.
-12*s**3 - 336*z
Find the first derivative of 2*m**4*u**2 - 69*m**2*u**2 - 13*u**2 + 3 wrt m.
8*m**3*u**2 - 138*m*u**2
Find the second derivative of 6989*c**2*s + 19*c*s - c - 2*s + 44 wrt c.
13978*s
What is the second derivative of 51*f**3 - 4*f**2 + 8*f?
306*f - 8
What is the second derivative of -47*g**3*i - 6*g**2*i - 264*g*i + 2*g - 1 wrt g?
-282*g*i - 12*i
Find the third derivative of 1677*d**3 - 5*d**2 - 216*d.
10062
Find the second derivative of 200*k**3*l + k**2 - 17*k + 2*l wrt k.
1200*k*l + 2
What is the derivative of -39*g**2*n - 57*g**2 - 41*g*n**3 - 60*g - 3*n wrt n?
-39*g**2 - 123*g*n**2 - 3
Find the second derivative of 9*t**3 - 59*t**2 - 27*t - 6 wrt t.
54*t - 118
Find the second derivative of -11*k**3 - 3*k**2 - 177*k.
-66*k - 6
What is the third derivative of 11*c**6 - 38*c**5 + 1961*c**2 wrt c?
1320*c**3 - 2280*c**2
Differentiate -498*v**2 + 525 with respect to v.
-996*v
Find the third derivative of -136*b**2*g**3 + b**2*g + 58*b*g**3 - 20146*b*g**2 wrt g.
-816*b**2 + 348*b
Find the second derivative of 1064*r**2*t*u**2 + 3*r**2 + r*t*u**2 + 7*r*t*u - 5*t wrt u.
2128*r**2*t + 2*r*t
Find the second derivative of o**2*s*u**2 - 3*o**2*u**2 + 9*o**2 + 2*o + 2*s*u**2 - 18*s*u wrt o.
2*s*u**2 - 6*u**2 + 18
Differentiate 1658*q + 472 with respect to q.
1658
What is the third derivative of 6*a**2*l**4 + 127*a**2 + 2*a*l**2 - 13*l**6 wrt l?
144*a**2*l - 1560*l**3
What is the second derivative of 17*i**3 + i**2*s - 2*i**2 + 2*i*s + 4*i - 20 wrt i?
102*i + 2*s - 4
What is the derivative of 5970*m**2 + 7576?
11940*m
What is the second derivative of 554*w**3 + 50*w wrt w?
3324*w
What is the first derivative of -2*b*g*l*v**3 - 3*b*g - 3*b*l*v - 5*g + l - 3*v**3 - 2 wrt v?
-6*b*g*l*v**2 - 3*b*l - 9*v**2
Find the third derivative of -257*h**4*u - 2*h**4 + 6*h**3 + 30*h**2*u - 5*h**2 - 2*h*u + 2*h wrt h.
-6168*h*u - 48*h + 36
Differentiate 196*z - 129 wrt z.
196
What is the third derivative of 9*b**2*d*j**4 + 4*b**2*d*j - 20*b**2*j**3 + 4*b**2 - 4*b*d*j**2 - 7*d*j**2 + j**4 wrt j?
216*b**2*d*j - 120*b**2 + 24*j
What is the third derivative of 5*f*i**3*v**3 - 4*f*i**3*v + 2*f*i**2*v + 35*f*i**2 + 2*f*i*v - 2*f*v**3 - 22*i**3*v**3 wrt i?
30*f*v**3 - 24*f*v - 132*v**3
What is the second derivative of 10918*h**3*l**5 + 98*h**3 - 6*h**2*l wrt l?
218360*h**3*l**3
What is the third derivative of 2*b**4*r**2*s - 2*b**4*r + 13*b**3*r**2 - b**2*s - 2*b*r**2*s + 25*s wrt b?
48*b*r**2*s - 48*b*r + 78*r**2
What is the derivative of -11*f**3*v**2 - 20*f**3 + 8*f - 3*v**3 + 8*v**2 wrt v?
-22*f**3*v - 9*v**2 + 16*v
Differentiate c*k**2*l - 2*c*k*l + 2*c*l + 128*c + 2*k**2 - 29*k with respect to k.
2*c*k*l - 2*c*l + 4*k - 29
What is the third derivative of 2*t**3*w**3 + 48*t**3*w - t**2*w**2 - 195*w**5 wrt w?
12*t**3 - 11700*w**2
Find the second derivative of -6*a**3*f**2 - 40*a**3*f - a*f**2 - 22*a*f - f wrt a.
-36*a*f**2 - 240*a*f
What is the derivative of -2*j**3*z + 15*j**2*z + 2*j*z - 337*z wrt j?
-6*j**2*z + 30*j*z + 2*z
What is the second derivative of -121*n**2*u**2 + n**2*u - 4*n*u - 6*n wrt u?
-242*n**2
Differentiate a*h*n*q + 2*a*h*n - 5*a*h + 52*a + 4*h*n - 2*h*q - 22*h with respect to a.
h*n*q + 2*h*n - 5*h + 52
What is the second derivative of -2*r*t**3 + 823*r*t + r + 2*t**5 + 4535*t**3 wrt t?
-12*r*t + 40*t**3 + 27210*t
Find the third derivative of 76*p**6 + 13*p**3 - 3718*p**2 wrt p.
9120*p**3 + 78
Differentiate 94*j**2 + 2*j - 556 with respect to j.
188*j + 2
Find the third derivative of -5*d**2*m**3 - 11*d**2 + 69*d*m**3 - 12*m**2 wrt m.
-30*d**2 + 414*d
What is the third derivative of -2*m**6*y - 2*m**6 + 2211*m**3 - 45*m**2*y - 2*m**2 + 2 wrt m?
-240*m**3*y - 240*m**3 + 13266
Find the first derivative of 7643*s**2*y**2 + 1150*y**2 wrt s.
15286*s*y**2
Find the second derivative of -279*s**3 - 59*s - 12.
-1674*s
Find the third derivative of -2*s**3*z**6 - 35*s**3*z**4 + 90*s**3*z**2 wrt z.
-240*s**3*z**3 - 840*s**3*z
Differentiate -94*q - 823 wrt q.
-94
Find the first derivative of 5*b**3 + 62*b**2 + 978 wrt b.
15*b**2 + 124*b
What is the third derivative of -6214*j**3*t**3 - j**3*t**2 + 7*j**3*t + 35*j*t**2 wrt t?
-37284*j**3
What is the second derivative of -8*b**3*j**3 - 236*b**3*j + 3*j**5 wrt j?
-48*b**3*j + 60*j**3
Find the first derivative of 45*a*i*q**2 + a*i*q*v - 34*a*q**2*v - 2*i*q**2*v + 2*i*q**2 + 207*q**2*v + 5*q*v wrt a.
45*i*q**2 + i*q*v - 34*q**2*v
Find the second derivative of 7*c**3*k**2 - 2*c**3 - c**2*k**2 - 3*c*k + 25*c - 20*k**2 - 1 wrt k.
14*c**3 - 2*c**2 - 40
Differentiate 4369*b**2 - 721.
8738*b
What is the first derivative of -539*j**3*t + 483*j**3 + 2*j wrt t?
-539*j**3
What is the derivative of 337*i*o*u**3 - i*o*u + 1395*i*u**3 - o*u**2 + 2*u**3 wrt o?
337*i*u**3 - i*u - u**2
What is the third derivative of 5*d*w**3 - 2*d + 14*w**4 - w**2 + 187*w wrt w?
30*d + 336*w
Differentiate 8815*m - 9485.
8815
Differentiate -1078*h**3 + 564 wrt h.
-3234*h**2
What is the second derivative of 3*p**3 + 72*p**2 + 756*p - 2 wrt p?
18*p + 144
What is the derivative of 147*c*r**2 + 12*r**2 wrt c?
147*r**2
What is the third derivative of 1862*u**5 + u**4 - u**2 + 5?
111720*u**2 + 24*u
What is the second derivative of -34*g**5 + 124*g + 2?
-680*g**3
Differentiate -101*l**2 + 115.
-202*l
Find the first derivative of a**2*r**4 - 64*a**2*r**2 + 2*a**2 + 135 wrt r.
4*a**2*r**3 - 128*a**2*r
What is the third derivative of 4*h*n**3*r - 7*h*n**2*r**4 + 4*h*n**2*r**2 + 2*n**3*r**3 + 2*n**3*r - r**4 wrt r?
-168*h*n**2*r + 12*n**3 - 24*r
What is the second derivative of 10*a**5*t + 2*a**3*t*y - a**2*t*y + 20*a*t*y + 3*a*y - a wrt a?
200*a**3*t + 12*a*t*y - 2*t*y
What is the second derivative of 36*r*x**2 + r*x - 2*r - 3*x**5 + 19*x wrt x?
72*r - 60*x**3
Differentiate 5481*o*r**2 - 3778*o - 2 with respect to r.
10962*o*r
Find the first derivative of 6*r**2*w + 2*r**2*z + 9*r*w*z - 3*r*w - 78*w + z - 11 wrt r.
12*r*w + 4*r*z + 9*w*z - 3*w
What is the second derivative of -2*i*k**2*n**2 - 2*i*k**2 - 8*i*n**2 - 2*i + 4*k**2*n**2 + k wrt k?
-4*i*n**2 - 4*i + 8*n**2
Find the third derivative of 2*o*s**5 + 138*o*s**3 - o*s - 99*s**2 wrt s.
120*o*s**2 + 828*o
Find the third derivative of -1428*k**3*n**3 - 47*k**3*n**2 - 16*k**2*n - k*n**2 wrt n.
-8568*k**3
Find the first derivative of -1529*m + 4102 wrt m.
-1529
What is the second derivative of 4*l**5 + 45*l wrt l?
80*l**3
What is the third derivative of 2*u**6 + u**5 - 786*u**4 - 2*u**2 - 5*u + 13 wrt u?
240*u**3 + 60*u**
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Expand (2*f**2 + 2 - 2)*(4*f**3 + 0*f**3 - 2*f**3) + (-2*f**4 - 6 + 6)*(56*f + 51*f - 17*f).
-176*f**5
Expand (-4*a - 92 + 92)*(-6 + 815*a**3 - 399*a**3 - 408*a**3).
-32*a**4 + 24*a
Expand (-2461*h**3 - 1748*h**3 + 961*h**3)*(-3*h + h + 6*h + (2 + 1 - 5)*(-1 + h + 1)).
-6496*h**4
Expand (8*j + 10*j - 12*j)*(-3 - 1 + 9 + (-1 + 2 - 3)*(-6 + 4 + 3))*(-j**2 - 2*j**2 + 47*j**4 + 3*j**2).
846*j**5
Expand 15*w**3 - 15*w**3 + 4*w**4 + (8*w - 3*w + 0*w)*(-2*w**3 - 2*w**3 + 3*w**3) - 11*w**4 + 14*w**4 - 33*w**4.
-31*w**4
Expand (8721*j**2 - 8721*j**2 + 302*j**5)*(-3 + 4 + 0)*(4 + 0 + 0).
1208*j**5
Expand (-u**2 - 13*u - 99 - 102 + 194)*(-3 - 5 - 1).
9*u**2 + 117*u + 63
Expand -p - 2*p + 0*p + (3*p - 6*p + 4*p)*(1 + 2 + 4) - 9*p - 24 + 24.
-5*p
Expand (-10*i**2 + 7*i**2 + 19*i**2)*(0*i + i - 2*i) + 2*i**3 - i**3 + 2*i**3 + (5 - 2 - 1)*(-5*i**3 + 4*i**3 - i**3).
-17*i**3
Expand 27*a**3 + 6*a**3 - 85*a**3 + (2*a**2 - 3*a**2 + 2*a**2)*(93 + 11*a - 93) - 2*a**3 + 4*a - 4*a.
-43*a**3
Expand (-4 + 2*o + 4 + (-2 - 6 + 4)*(-2*o + 3*o + 0*o) - 5*o + 6*o + 4*o - 20 - 6*o + 20)*(-o + 2*o - 4*o).
9*o**2
Expand (-o**2 - 1 + 1)*(3*o**2 + 3 - 3) + 2*o**4 - o + o + (2*o**4 + 2*o**4 - 3*o**4)*(-22 - 2 - 1).
-26*o**4
Expand (5*d**2 - 2*d**2 + 2*d**2)*(-17 + 24 + 4*d + 2*d**2 + 5*d).
10*d**4 + 45*d**3 + 35*d**2
Expand (-3*a - 2*a + 2*a)*(-2 + 2 - 2*a**4) + ((-3*a**2 + 3*a**2 + 2*a**2)*(a**2 - 11*a + 11*a) - a**4 - 7*a**4 + 0*a**4)*(-4 - 4*a + 4).
30*a**5
Expand (-2 - 4*u + 2)*(7561 - 7561 + 1723*u**4).
-6892*u**5
Expand ((0*q - q - q)*(-8 + 0 + 2)*(1 + 1 + 0) + 1 - 1 + q)*((q**2 - q**2 - q**2)*(1 - 2 - 1) - 154*q + 29*q**2 + 154*q).
775*q**3
Expand (-1 + 1 + a**2)*(-18 - 2*a + 23*a - 29*a + 3*a**2).
3*a**4 - 8*a**3 - 18*a**2
Expand -5*y**2 - 2*y**2 + 4*y**2 + (y - 4*y + y)*(-2 + 2 - 2*y) - 2 + 2 - 2*y**2 + (2*y - 3*y + 3*y)*(-574*y - 250 + 273*y + 285*y).
-33*y**2 - 500*y
Expand -3*m + 4*m + 0*m + (-68 - 75 + 9)*(4 + 0 - 3)*(-13 - 7*m + 13).
939*m
Expand (-1224*w**3 + 163*w**4 + 1224*w**3)*(-2 + 2 + 4*w).
652*w**5
Expand (106*h - h**3 - 106*h)*(-227*h**2 - 232*h**2 + 462*h**2).
-3*h**5
Expand -13 + 13 + 7*a + 3*a + 30 - 22 + 6*a + (-3 + 3 - 2*a)*(-1 - 1 + 0) - 2 + a + 2.
21*a + 8
Expand (274 + 894 - 82)*(2 - 2*v - 2)*(0 + 3 - 1).
-4344*v
Expand (-3155 + 165*b**2 + 3155)*(5*b + 12 + 3*b - 6*b).
330*b**3 + 1980*b**2
Expand (-481*p - 249383 + 249383)*(-1 + 5 - 2)*(3*p**3 + 1 - 1).
-2886*p**4
Expand -2113*h**2 - 16071054*h + 16071054*h + 0 - h**2 + 0 + (h - 2*h - h)*(-2*h - 2*h + 2*h) - h**2 + h**2 - h**2.
-2111*h**2
Expand (3*p - 3*p - 3*p**2)*(-27*p + 51*p + 30*p)*(-2*p**2 - 9*p**2 + 2*p**2).
1458*p**5
Expand -2*m**2 - 3*m + 3*m + (1 + 1 + 0)*(m**2 - m**2 - m**2) + (9 + 0 - 10)*(4*m**2 - 1117*m**2 + 115*m**2).
994*m**2
Expand -24*i**2 + 10*i**2 + 2*i**2 + (-2*i**2 - 2*i**2 + 7*i**2)*(0 + 14 + 18).
84*i**2
Expand (-3*p - p + 2*p)*(-4697 + 4697 + 86*p)*(0*p + 2*p**2 + 0*p).
-344*p**4
Expand (5409 + 1240 + 1312 - 1070 + 2667)*(-3*g + g + 0*g).
-19116*g
Expand (-2*p + 4*p + 0*p)*(-75*p + 33*p + 28*p + (2 - 1 + 0)*(p - 2*p + 3*p) - p + p - p + 6*p + 4*p + 8 - 13*p)*(-p**2 + 3*p**2 - 3*p**2).
32*p**4 - 16*p**3
Expand (-29*a - 20*a - 17*a)*(-21*a**2 - 5 - 61 + 22*a**2).
-66*a**3 + 4356*a
Expand (12 - 18 + 37)*(-4 - 2 + 5)*(-2 + 2 - o)*(-2 - 3 - 6).
-341*o
Expand (3 + 5 + 1 + (-6 + 2 + 2)*(0 - 6 + 5) + 4 - 9 - 2)*(9 - 9 + 2*r**4).
8*r**4
Expand (-95*s**2 + 13*s**2 - 34*s**2)*(2*s - 3*s + 0*s) - 2*s**3 + 0*s + 0*s.
114*s**3
Expand (-6*g + 8*g + 2*g)*(-g**2 + g**2 + 2*g**2) + 0 + 0 - 3*g**3 + (6 - 6 - 3*g)*(-3*g + 2*g**2 + 3*g) + 59 + g**2 + 2*g**2 - 60 - 2*g**3.
-3*g**3 + 3*g**2 - 1
Expand (5 - 4 - 3)*(5*j - 4*j + 0*j) + 0 + 0 - 2*j - 7*j + 4 - 4 + (-1 + 2 - 9)*(1 - 2*j - 1) + j - 4*j + 4*j - 4 + 4 + j.
7*j
Expand (38*p + 15*p + p)*(4 + 0 - 3)*(-3*p**2 + 2*p**2 - p**2).
-108*p**3
Expand (w + w - 3*w)*((-3 - 2 + 6)*(8*w - w - 5*w) + w + w + 0*w - 102*w + 24*w - 10*w).
84*w**2
Expand (5*u - u + u)*(-u**2 - u + u)*(-202 - 42 - 66).
1550*u**3
Expand (-1 + 3 - 1)*(3 - 1 - 3)*(-284*h + 1264 - 1264 + (-4 + 0 + 2)*(-h - 4*h + 3*h)).
280*h
Expand 6*y**2 - 4*y**2 - y**2 + (-4 + 4 + y)*(-1213*y + 158*y - 676*y).
-1730*y**2
Expand (0 + 1 + 1)*(6*w - 3*w - w + 5*w)*(184*w + 539*w**2 - 184*w).
7546*w**3
Expand -p**4 - 3*p + 3*p + (-6*p**2 + 6*p**2 + 10*p**4)*(0 + 3 - 2) + 10*p**4 + 9*p**4 - 4*p**4 + 1 - 1 + 2*p**4.
26*p**4
Expand 8*u**3 + 122*u**2 - 122*u**2 + (4*u - 2*u - u)*(-14*u - u - 430*u**2 + 15*u).
-422*u**3
Expand (0*s - s - 2*s)*(7132*s + 344 + 340 - 1370 + 346 + 340).
-21396*s**2
Expand (-4*o**4 + 5*o**4 + o**4)*(-5*o + 4*o - 2*o) - 4 - 3*o**5 + 4 + (2*o - 2*o - 2*o**3)*(-2 + 2 - o**2) - 867*o**5 - 543*o**5 + 2072*o**5.
655*o**5
Expand (-2*t**2 + 51318*t - 5406 - 51318*t)*(2 - 2 + 1).
-2*t**2 - 5406
Expand (4*o**2 - 5*o**2 + 2*o**2)*(-73*o + 23*o + 18*o)*(-o**2 + 3*o**2 - 4*o**2 + (3*o - 4*o - o)*(-o - o + 0*o)).
-64*o**5
Expand (h + 1 - 1)*(3 - 3 + 1) - 282*h - 710*h - 593*h.
-1584*h
Expand (3*l**3 + 0*l**3 - l**3)*(-45 - 18 - 105) - 7*l**3 - 4*l**2 + 4*l**2.
-343*l**3
Expand (3*q - 3*q + 2*q)*(-3 + 2 - 2) - 2*q + 6*q - 5*q + (-3 + 1 + 0)*(9*q + 12*q - 7*q + (-3*q + 0*q + q)*(5 + 0 - 4) + 2*q + 0*q - q).
-33*q
Expand (-t**2 + t**2 + 2*t**2 - 2 - 2*t**2 + 2 + (2 - t - 2)*(3*t + 11*t + t))*(-4*t - 6*t - 6*t).
240*t**3
Expand (-2769105*t**2 + 2*t + 2777644*t**2 - 2*t)*(0*t + t + 0*t + (-1 - 2 + 2)*(-t + 3*t - 3*t)).
17078*t**3
Expand 3*b**5 - 3*b**5 + b**5 + b**5 - 3*b**5 + 3*b**5 + (0*b**3 - 3*b**3 + 5*b**3)*(0*b + 0*b + 2*b**2) - 10*b**5 + 27*b + 64*b - 63*b.
-4*b**5 + 28*b
Expand (22*x - 113*x - 15*x)*(-21*x - 29*x + 9*x).
4346*x**2
Expand 1 - 1 - 4*h + (1 - 1 - 2)*(-h + 2 - 2) + (-297 - 295 + 320)*(2 + 2*h - 2).
-546*h
Expand (4*o**2 - 6*o + 115 - 86 - 27)*(2*o**3 - 3 + 3 + 3 - 3 - 2*o**3 + (3*o**2 + 4*o**2 - 5*o**2)*(o + 2*o - 5*o) + 4*o**3 - 3*o**3 + o**3).
-8*o**5 + 12*o**4 - 4*o**3
Expand (t + 2*t + 15*t + (2 - 1 - 2)*(0 + t + 0) - 3*t + 2*t + 0*t)*(t**4 - 2*t**4 - 9*t**4).
-160*t**5
Expand (s**2 + 4*s**2 - 2*s**2)*(-49*s + 66*s - 4*s**2 + 139*s + 1).
-12*s**4 + 468*s**3 + 3*s**2
Expand -2*i**2 - i**2 - 4*i**2 + (-3*i + 4*i + 0*i)*(-i - 2*i + 2*i) + 2*i**2 - i**2 + i**2 + 15*i**2 - 83*i - 78*i - 3*i**2 + 161*i.
6*i**2
Expand (k - 2*k + 3*k)*(-1 - 2 + 2) + 81*k + 4 - 43*k - 29*k + 4*k + 2*k - 2*k.
11*k + 4
Expand (-6*a - 3 + 3)*(-31 + 40 + 30)*(1 - 4 + 2)*(0*a - a - a).
-468*a**2
Expand -2*a**3 - 47*a + a**3 + 46*a + 3*a**2 + (-18*a**2 + 10*a**2 - a**2)*(-3*a - 3*a + a) + (13*a - 3*a**3 - 13*a)*(-2 - 5 + 5).
50*a**3 + 3*a**2 - a
Expand (-25*c**2 + 131*c - 231*c + 107*c)*(0*c**2 + 2*c**2 + c**2).
-75*c**4 + 21*c**3
Expand (24*k - 24*k - 13*k**3)*(631*k**2 - 157*k**2 - 102*k**2 + 527*k**2 - 85*k**2).
-10582*k**5
Expand (-2184*u - 3799*u - 2443*u - 370*u)*(-1 - u + 1).
8796*u**2
Expand (1165 - 595 + 943)*(-2*f + f**2 + 2*f) + 1 - 2*f**2 - 1.
1511*f**2
Expand (7*h + 3*h - 5*h + (-2*h - h + h)*(1 + 1 - 6))*(6*h - 4*h - 3*h) - 8*h**2 + 13*h**2 - 5 - 6*h**2.
-14*h**2 - 5
Expand (-309 - 716 + 107)*(a + 2 - a - a).
918*a - 1836
Expand (-8 - 113*d + 1283*d + 5 + 3)*(6*d**2 - 6*d**2 + 8*d**4).
9360*d**5
Expand -g**3 - 16*g**2 - 3*g**3 + 2*g**3 + 2*g**3 + 4*g**3 - 5*g**3 + (-3*g + 4*g - 3*g)*(2*g**2 + 5*g - 5*g) + 2*g - g**3 - 2*g - 6*g**3 - 26*g**3 + 5*g**3.
-33*g**3 - 16*g**2
Expand (0 + 4 + 1)*(3 - 4 + 3)*((-4 - 2 + 4)*(-2*g - 3*g + 4*g) + (-9*g + 2*g - 3*g)*(-4 - 1 + 2)).
320*g
Expand (4 - 4 - q + (0 - 2 + 3)*(-5*q + 5*q - 3*q))*(-108 - 96 - 108)*(-14*q**2 + 68 - 68).
-17472*q**3
Expand (-3*v + v - 2*v)*(0*v**3 + 2*v**3 - 3*v**3 + (162 + 83 + 301)*(-3*v - 2*v**3 + 3*v)).
4372*v**4
Expand (-22 - 107 - 238 - 2*h)*(2*h**3 + 5*h**2 - 5*h**2).
-4*h**4 - 734*h**3
Expand ((-1 + 1 - 5)*(-2*b + 0*b + 4*b) + (5 - 4 - 2)*(b - 2*b + 3*b) - 158*b - 215*b + 56*b)*(4 + 0 - 3).
-329*b
Expand (((5 - 3 - 1)*(1 - 3 + 3) - 2 - 6 + 2 + (-1 + 3 + 0)*(0 + 1 - 3))*(1 - 7 - 4)*(x - 2*x + 4*x) - 2*x + 2*x - 2*x)*(-4*x**2 - x + x).
-1072*x**3
Expand (0 - c + 0)*(c**2 + 3*c - 3*c) - 4942*c**3 + 13979*c**2 - 13979*c**2.
-4943*c**3
Expand 160*v**3 - 81*v**3 + 65*v**3 + 1 + 2*v**3 - 1 + (-6 + 3*v + 6)*(2*v**2 - v + v).
152*v**3
Expand (-288*v + 288*v - 48*v**4 + (-3*v + v + v)*(0 + 0 - 2*v**3))*(15 + 32 - 20)*(2
|
{
"pile_set_name": "DM Mathematics"
}
|
when 1462 is divided by 98?
90
Calculate the remainder when 641 is divided by 9.
2
Calculate the remainder when 3273 is divided by 42.
39
What is the remainder when 72 is divided by 49?
23
What is the remainder when 307 is divided by 78?
73
What is the remainder when 527 is divided by 63?
23
What is the remainder when 106 is divided by 94?
12
Calculate the remainder when 82 is divided by 10.
2
Calculate the remainder when 83 is divided by 46.
37
Calculate the remainder when 8181 is divided by 372.
369
What is the remainder when 221 is divided by 49?
25
Calculate the remainder when 215 is divided by 38.
25
What is the remainder when 2174 is divided by 17?
15
What is the remainder when 823 is divided by 25?
23
What is the remainder when 289 is divided by 33?
25
What is the remainder when 4664 is divided by 27?
20
What is the remainder when 677 is divided by 10?
7
What is the remainder when 2414 is divided by 11?
5
What is the remainder when 465 is divided by 150?
15
Calculate the remainder when 3901 is divided by 103.
90
Calculate the remainder when 854 is divided by 83.
24
Calculate the remainder when 5 is divided by 3.
2
Calculate the remainder when 18102 is divided by 213.
210
What is the remainder when 404 is divided by 37?
34
Calculate the remainder when 2016 is divided by 653.
57
What is the remainder when 1424 is divided by 19?
18
What is the remainder when 264 is divided by 66?
0
What is the remainder when 215 is divided by 60?
35
Calculate the remainder when 435 is divided by 267.
168
What is the remainder when 104 is divided by 29?
17
Calculate the remainder when 1522 is divided by 25.
22
Calculate the remainder when 17223 is divided by 236.
231
What is the remainder when 1027 is divided by 88?
59
Calculate the remainder when 826 is divided by 81.
16
Calculate the remainder when 90 is divided by 31.
28
Calculate the remainder when 1619 is divided by 65.
59
Calculate the remainder when 327 is divided by 22.
19
What is the remainder when 1079 is divided by 137?
120
What is the remainder when 35 is divided by 12?
11
What is the remainder when 23 is divided by 5?
3
Calculate the remainder when 212 is divided by 72.
68
What is the remainder when 461 is divided by 85?
36
What is the remainder when 322 is divided by 61?
17
What is the remainder when 243 is divided by 61?
60
What is the remainder when 371 is divided by 31?
30
What is the remainder when 629 is divided by 10?
9
Calculate the remainder when 358 is divided by 33.
28
What is the remainder when 8578 is divided by 55?
53
What is the remainder when 8382 is divided by 64?
62
Calculate the remainder when 10130 is divided by 18.
14
What is the remainder when 531 is divided by 19?
18
Calculate the remainder when 66 is divided by 34.
32
Calculate the remainder when 109 is divided by 26.
5
Calculate the remainder when 614 is divided by 56.
54
What is the remainder when 41 is divided by 10?
1
Calculate the remainder when 246 is divided by 14.
8
What is the remainder when 4451 is divided by 73?
71
Calculate the remainder when 214 is divided by 54.
52
Calculate the remainder when 59 is divided by 10.
9
Calculate the remainder when 6 is divided by 3.
0
Calculate the remainder when 289 is divided by 14.
9
Calculate the remainder when 65 is divided by 41.
24
Calculate the remainder when 690 is divided by 44.
30
Calculate the remainder when 617 is divided by 3.
2
What is the remainder when 2500 is divided by 16?
4
What is the remainder when 2168 is divided by 31?
29
Calculate the remainder when 37 is divided by 25.
12
What is the remainder when 950 is divided by 134?
12
Calculate the remainder when 2441 is divided by 222.
221
Calculate the remainder when 505 is divided by 32.
25
Calculate the remainder when 348 is divided by 7.
5
Calculate the remainder when 2159 is divided by 24.
23
Calculate the remainder when 163 is divided by 84.
79
Calculate the remainder when 76 is divided by 49.
27
Calculate the remainder when 3115 is divided by 52.
47
Calculate the remainder when 7887 is divided by 49.
47
Calculate the remainder when 154 is divided by 20.
14
Calculate the remainder when 12855 is divided by 23.
21
What is the remainder when 1706 is divided by 20?
6
What is the remainder when 1390 is divided by 48?
46
What is the remainder when 15243 is divided by 242?
239
Calculate the remainder when 147 is divided by 46.
9
What is the remainder when 3220 is divided by 52?
48
Calculate the remainder when 461 is divided by 14.
13
Calculate the remainder when 546 is divided by 251.
44
Calculate the remainder when 1717 is divided by 94.
25
Calculate the remainder when 44 is divided by 28.
16
What is the remainder when 622 is divided by 90?
82
Calculate the remainder when 673 is divided by 20.
13
Calculate the remainder when 435 is divided by 2.
1
What is the remainder when 154 is divided by 44?
22
Calculate the remainder when 81 is divided by 32.
17
What is the remainder when 1565 is divided by 58?
57
Calculate the remainder when 1098 is divided by 25.
23
What is the remainder when 811 is divided by 227?
130
What is the remainder when 144 is divided by 31?
20
Calculate the remainder when 538 is divided by 524.
14
Calculate the remainder when 382 is divided by 64.
62
What is the remainder when 588 is divided by 5?
3
What is the remainder when 82108 is divided by 85?
83
What is the remainder when 1971 is divided by 25?
21
Calculate the remainder when 2884 is divided by 288.
4
Calculate the remainder when 1751 is divided by 39.
35
Calculate the remainder when 2035 is divided by 255.
250
Calculate the remainder when 376 is divided by 42.
40
What is the remainder when 97 is divided by 17?
12
Calculate the remainder when 96 is divided by 54.
42
Calculate the remainder when 1538 is divided by 27.
26
What is the remainder when 349 is divided by 169?
11
Calculate the remainder when 131 is divided by 4.
3
Calculate the remainder when 135 is divided by 20.
15
What is the remainder when 501 is divided by 28?
25
Calculate the remainder when 249 is divided by 50.
49
Calculate the remainder when 14 is divided by 11.
3
What is the remainder when 146 is divided by 25?
21
What is the remainder when 2841 is divided by 708?
9
What is the remainder when 544 is divided by 8?
0
What is the remainder when 101 is divided by 10?
1
What is the remainder when 3193 is divided by 45?
43
What is the remainder when 43 is divided by 13?
4
Calculate the remainder when 192 is divided by 98.
94
What is the remainder when 101 is divided by 32?
5
Calculate the remainder when 59 is divided by 34.
25
Calculate the remainder when 556 is divided by 184.
4
Calculate the remainder when 337 is divided by 114.
109
What is the remainder when 1528 is divided by 379?
12
What is the remainder when 175 is divided by 37?
27
Calculate the remainder when 269 is divided by 17.
14
Calculate the remainder when 305 is divided by 110.
85
What is the remainder when 367 is divided by 92?
91
Calculate the remainder when 53 is divided by 7.
4
What is the remainder when 6879 is divided by 8?
7
What is the remainder when 14192 is divided by 19?
18
What is the remainder when 972 is divided by 89?
82
What is the remainder when 649 is divided by 320?
9
What is the remainder when 115 is divided by 29?
28
What is the remainder when 5556 is divided by 278?
274
What is the remainder when 83 is divided by 42?
41
Calculate the remainder when 283 is divided by 87.
22
Calculate the remainder when 740 is divided by 77.
47
Calculate the remainder when 208 is divided by 17.
4
What is the remainder when 4994 is divided by 135?
134
What is the remainder when 185 is divided by 2?
1
What is the remainder when 234 is divided by 81?
72
Calculate the remainder when 215 is divided by 26.
7
What is the remainder when 2573 is divided by 117?
116
What is the remainder when 13394 is divided by 174?
170
What is the remainder when 56 is divided by 21?
14
What is the remainder when 637 is divided by 58?
57
Calculate the remainder when 1510 is divided by 168.
166
What is the remainder when 4397 is divided by 170?
147
Calculate the remainder when 26 is divided by 20.
6
What is the remainder when 127 is divided by 34?
25
What is the remainder when 574 is divided by 139?
18
Calculate the remainder wh
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from {x: 1, q: 2, p: 2}. What is prob of picking 1 x and 1 p?
1/5
What is prob of picking 3 n when three letters picked without replacement from {n: 4}?
1
Calculate prob of picking 2 z when two letters picked without replacement from {u: 3, z: 12}.
22/35
Calculate prob of picking 1 u and 1 d when two letters picked without replacement from dumdeqdddddee.
7/78
Two letters picked without replacement from gjmiiuimgmmm. Give prob of picking 1 i and 1 j.
1/22
Two letters picked without replacement from {s: 11, u: 2}. Give prob of picking 2 s.
55/78
Four letters picked without replacement from {h: 3, g: 3, b: 6, n: 2, a: 3}. Give prob of picking 2 a, 1 g, and 1 h.
27/2380
Three letters picked without replacement from {c: 2, z: 3, t: 1, k: 2, h: 5, m: 7}. What is prob of picking 1 k, 1 c, and 1 t?
1/285
Two letters picked without replacement from oonqonomooooooooo. What is prob of picking 2 n?
1/136
Four letters picked without replacement from {p: 3, w: 17}. What is prob of picking 1 w and 3 p?
1/285
What is prob of picking 1 e and 1 o when two letters picked without replacement from {u: 1, o: 2, e: 1, j: 3, l: 3, t: 2}?
1/33
Two letters picked without replacement from {c: 2, m: 9}. Give prob of picking 1 m and 1 c.
18/55
What is prob of picking 1 n, 1 w, and 1 t when three letters picked without replacement from wwtwitwwiint?
3/44
Calculate prob of picking 2 m and 2 v when four letters picked without replacement from {v: 3, m: 4, p: 1, i: 1, q: 7}.
9/910
What is prob of picking 2 f when two letters picked without replacement from {p: 5, f: 2, e: 6}?
1/78
Two letters picked without replacement from eeyuffepyaay. Give prob of picking 1 u and 1 y.
1/22
What is prob of picking 1 i and 2 g when three letters picked without replacement from {z: 1, r: 3, y: 1, i: 2, g: 4}?
4/55
Four letters picked without replacement from {d: 1, v: 3, w: 1, k: 1, x: 1, b: 5}. Give prob of picking 1 b, 1 w, 1 d, and 1 x.
1/99
Two letters picked without replacement from {k: 3, o: 15}. What is prob of picking 2 o?
35/51
Calculate prob of picking 1 i and 2 v when three letters picked without replacement from ccvfqqciiidv.
3/220
Three letters picked without replacement from {s: 2, r: 3, t: 15}. Give prob of picking 2 t and 1 s.
7/38
Three letters picked without replacement from {m: 4, x: 2}. What is prob of picking 1 x and 2 m?
3/5
Three letters picked without replacement from dkkgkddkk. What is prob of picking 2 d and 1 g?
1/28
Calculate prob of picking 1 r and 2 b when three letters picked without replacement from {r: 6, b: 13}.
156/323
Two letters picked without replacement from {t: 3, p: 9}. What is prob of picking 1 t and 1 p?
9/22
Four letters picked without replacement from {i: 2, h: 7, x: 3, m: 3, g: 4}. What is prob of picking 2 m, 1 g, and 1 x?
3/323
Calculate prob of picking 4 x when four letters picked without replacement from {x: 4, k: 7}.
1/330
Calculate prob of picking 4 m when four letters picked without replacement from mmumumu.
1/35
What is prob of picking 3 b when three letters picked without replacement from {b: 3}?
1
Calculate prob of picking 1 u and 3 o when four letters picked without replacement from oououoo.
4/7
What is prob of picking 2 p when two letters picked without replacement from ololopppdddoo?
1/26
Calculate prob of picking 3 s and 1 x when four letters picked without replacement from {s: 6, d: 3, v: 2, x: 3, e: 1}.
4/91
Calculate prob of picking 1 s and 3 e when four letters picked without replacement from sseee.
2/5
What is prob of picking 1 d, 1 j, and 1 s when three letters picked without replacement from cjspdsojjopo?
3/110
Calculate prob of picking 1 n and 2 o when three letters picked without replacement from {n: 8, o: 2}.
1/15
Two letters picked without replacement from {x: 1, w: 2, l: 1, e: 2, a: 1, p: 1}. Give prob of picking 1 l and 1 e.
1/14
Calculate prob of picking 1 i, 1 s, and 1 k when three letters picked without replacement from {k: 1, c: 1, m: 1, i: 1, s: 1}.
1/10
What is prob of picking 2 l and 1 m when three letters picked without replacement from mplttlpllttm?
3/55
Four letters picked without replacement from {b: 2, q: 3, j: 4, d: 1, r: 5, g: 5}. Give prob of picking 1 r and 3 q.
1/969
Two letters picked without replacement from {w: 1, i: 6, o: 5, r: 4}. Give prob of picking 2 r.
1/20
Four letters picked without replacement from fgzibzzgig. Give prob of picking 1 b, 1 g, and 2 i.
1/70
What is prob of picking 2 o, 1 e, and 1 p when four letters picked without replacement from cccpoeocepocooeppcc?
10/323
Three letters picked without replacement from ooossstot. Give prob of picking 1 t, 1 o, and 1 s.
2/7
Calculate prob of picking 1 b and 2 m when three letters picked without replacement from {t: 1, b: 2, l: 1, m: 4}.
3/14
Calculate prob of picking 1 k and 2 b when three letters picked without replacement from mbykbhbkphkm.
9/220
What is prob of picking 4 l when four letters picked without replacement from llyllldlzilyttlii?
1/34
What is prob of picking 1 o and 3 z when four letters picked without replacement from {o: 2, z: 16}?
56/153
Four letters picked without replacement from {d: 2, v: 1, n: 1, a: 1, e: 2, y: 1}. What is prob of picking 1 a, 1 y, and 2 e?
1/70
Two letters picked without replacement from {a: 1, g: 2, n: 1, b: 2, u: 1, p: 1}. Give prob of picking 1 p and 1 a.
1/28
What is prob of picking 1 y and 1 p when two letters picked without replacement from pqwpiiyiyipq?
1/11
Calculate prob of picking 1 l and 2 g when three letters picked without replacement from {n: 3, l: 4, g: 2, m: 2}.
4/165
What is prob of picking 3 r when three letters picked without replacement from rrpoopbrbro?
4/165
Four letters picked without replacement from zqziziidiibb. Give prob of picking 3 z and 1 i.
1/99
What is prob of picking 3 z and 1 i when four letters picked without replacement from iiiiiiiiziiiizzizii?
5/323
Calculate prob of picking 2 l, 1 n, and 1 j when four letters picked without replacement from {j: 7, n: 3, l: 8}.
49/255
Two letters picked without replacement from yogo. Give prob of picking 1 o and 1 y.
1/3
Two letters picked without replacement from {b: 4, j: 8, d: 1}. Give prob of picking 1 d and 1 b.
2/39
What is prob of picking 1 m and 1 x when two letters picked without replacement from mxxxxgxxxxxxxxx?
13/105
Four letters picked without replacement from meeefxmxmxm. What is prob of picking 2 x and 2 m?
3/55
What is prob of picking 3 m when three letters picked without replacement from {m: 3, j: 5, u: 11, w: 1}?
1/1140
Four letters picked without replacement from vsvvvggsgasvgvvvggv. What is prob of picking 2 g, 1 v, and 1 a?
45/1292
Two letters picked without replacement from {n: 1, r: 2, q: 3, o: 3, f: 1}. Give prob of picking 2 r.
1/45
Two letters picked without replacement from ttzttttrzntyttty. Give prob of picking 2 r.
0
Four letters picked without replacement from ooacsasnaasacaoas. What is prob of picking 2 a and 2 c?
3/340
What is prob of picking 3 n when three letters picked without replacement from {z: 3, s: 6, n: 7, y: 3}?
35/969
Two letters picked without replacement from {s: 3, p: 4}. What is prob of picking 2 p?
2/7
Calculate prob of picking 3 w and 1 n when four letters picked without replacement from {w: 6, n: 13}.
65/969
Three letters picked without replacement from {l: 1, m: 1, w: 1, g: 3, d: 1}. What is prob of picking 1 w, 1 m, and 1 d?
1/35
Two letters picked without replacement from {f: 1, m: 2}. Give prob of picking 1 f and 1 m.
2/3
Two letters picked without replacement from {y: 6, n: 2, u: 1, s: 2, m: 6}. Give prob of picking 1 u and 1 n.
1/68
Two letters picked without replacement from {e: 5, t: 3}. Give prob of picking 2 t.
3/28
Four letters picked without replacement from ycucycccpiiiycciu. What is prob of picking 3 y and 1 p?
1/2380
Two letters picked without replacement from {o: 2, h: 3}. What is prob of picking 2 h?
3/10
What is prob of picking 2 z when two letters picked without replacement from attzallzlzzlz?
5/39
Four letters picked without replacement from {z: 2, s: 1, v: 1, o: 3}. Give prob of picking 1 v, 1 o, 1 s, and 1 z.
6/35
What is prob of picking 2 c when two letters picked without replacement from {v: 3, c: 12}?
22/35
Two letters picked without rep
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1. What is the units digit of z(o)?
8
What is the tens digit of 103 - 1 - (-6 - -7)*4?
9
Let l be (-4)/3*(-12)/8. Let f(p) = 5*p - l*p - 4*p**2 + 2*p**3 - 5 - p**3. What is the units digit of f(4)?
7
Let z(u) = -u**2 + 17*u - 26. What is the units digit of z(11)?
0
Let p(a) be the first derivative of 2*a**3/3 - 3*a**2 + 2*a + 2. What is the units digit of p(4)?
0
Let n(j) = 0*j + 5*j - 3 - 1. What is the units digit of n(4)?
6
Suppose -4*g - 2*s + 14 = -0*g, 0 = 5*s - 5. Suppose -y = 3, -g + 6 = 3*q + y. What is the units digit of q?
2
Let s(g) = 2*g**2 - 5*g - 10. Let b(p) = -p**2 + 2*p + 5. Let z(y) = -9*b(y) - 4*s(y). Let i = -1 + -3. What is the units digit of z(i)?
3
Suppose -3*v + 0*x + 251 = -x, 3*v = -4*x + 256. What is the units digit of v?
4
Let u be 2/(-8) + (-41)/(-4). Suppose u = -2*o - 3*o. Let b = o - -3. What is the units digit of b?
1
Suppose -3*m = -5 - 1. Suppose 5*p = 2*c - 18, 2*p + p = -c - m. What is the units digit of c?
4
Let o = 3 + 7. Suppose 6 = m - o. What is the units digit of m?
6
Suppose v - 4*v = -12, -560 = -3*l + 4*v. What is the tens digit of l?
9
Suppose -4*a - 4*i + 23 = -17, 3*a + 4*i - 28 = 0. What is the units digit of a?
2
Let o(d) = 22*d - 9. What is the tens digit of o(3)?
5
Suppose 3*n - 145 = -4*i, 2*i + i + 2*n - 110 = 0. What is the units digit of i?
0
Let j = -6 + 6. Let l(d) = -d**2 + 3. Let t be l(j). Suppose -2*y = -23 + t. What is the units digit of y?
0
Let d = -62 + 99. Let w = d - 193. What is the units digit of 4/18 + w/(-27)?
6
Let y(g) = g**2 - 8*g + 4. Let k be y(8). Suppose -k*i + 48 = -i. What is the tens digit of i?
1
Suppose 0*c - 8 = 4*c. Let h be 1/(1/16) - c. Let k = h + -12. What is the units digit of k?
6
Let f be 4/(-6) + (-11)/(-3). Suppose 0 = 5*g - 3*s + 42, 4*g + f + 1 = -5*s. Let y = g - -15. What is the units digit of y?
9
Let w be (0 + 0)/3*1. Suppose -i + w*i + 16 = 0. What is the tens digit of i?
1
Let a(z) = -2*z + 3*z**2 - 3*z - 3 + 0*z. What is the units digit of a(4)?
5
Suppose -2*g + 7*g - a = 595, 4*a = -3*g + 357. What is the units digit of g?
9
Let j be 3/(-6) - (-25)/10. Suppose -j*p = -3*p + 2*l + 5, l - 14 = -5*p. What is the units digit of p?
3
Suppose 4*q - g = -6*g + 5, 3*q - 3*g = 24. Suppose 2*d = t + 1, -q*d + 6*t = 4*t - 5. Suppose 5*o + 24 + 1 = 0, -2*o - 28 = -d*b. What is the units digit of b?
6
Suppose 0 = -5*m - b + 5, 0 = -3*m - 2*b + 3*b + 3. What is the units digit of m?
1
Let u be ((-14)/(-42))/((-2)/(-36)). What is the units digit of ((-4)/(-6))/(u/117)?
3
Suppose y - 3*q = 3*y, 2*y = 3*q. Let z = 46 - y. What is the tens digit of z?
4
Let h = 969 + -667. What is the hundreds digit of h?
3
Let p = 19 + -9. Let z = p + -3. Suppose 0 = -3*h - 5*y + 1, 6 = 5*h - 3*y - z. What is the units digit of h?
2
Let p(j) = -j**3 + 7*j**2 + 5*j + 8. What is the units digit of p(7)?
3
Let d(m) = 3*m**2. Let k be d(-2). What is the units digit of (k/(-9))/(2/(-12))?
8
Let v = 6 + -6. Suppose 3*i = -5*k + 22, -2*i = 3*i + 5. Let p = k - v. What is the units digit of p?
5
Suppose 7 = j + 2. Let b(f) = 5*f**2 - 1. Let q be b(-1). Suppose j + 5 = 5*t + q*m, 3*m = 4*t - 8. What is the units digit of t?
2
Let m be 4/8*-2 - -1. Suppose m = -b + 2*b - 3. What is the units digit of b?
3
Suppose -310 = -2*q + 256. What is the tens digit of q?
8
Let z(i) = i + 12. Let o = 19 - 29. What is the units digit of z(o)?
2
Let h be -1 + 1 - -2*1. Suppose z + h*z - 24 = 0. What is the units digit of z?
8
Suppose 2*f - 5*f = -54. What is the units digit of f?
8
What is the tens digit of 2/(-8)*-538 - 6/4?
3
Suppose 8*b + 204 = 12*b. What is the units digit of b?
1
Suppose -91 = -10*o - 21. What is the units digit of o?
7
Let k(m) = -3*m + 2*m + 3 - 9. Let p(b) = 6*b - 1. Let x be p(-1). What is the units digit of k(x)?
1
Let z(t) = -t**3 - 5*t**2 - 6*t - 5. Let s be z(-4). Suppose 0 = g + 2*k - s, -4*k - 39 = 2*g - 5*g. What is the units digit of g?
9
Let m = -23 - -17. Let x(y) = 2*y**2 + 6*y - 8. What is the units digit of x(m)?
8
Suppose -299 = -2*i + 99. What is the tens digit of i?
9
What is the units digit of ((-36)/(-126))/((-2)/(-2933))?
9
Let g(n) = 19*n**2 + 1. Let r = -4 + 3. What is the tens digit of g(r)?
2
Let c = 31 + -49. Let z = -11 - c. What is the units digit of z?
7
Let x(q) = q**3 - 16*q**2 + 17*q - 19. Let w be 10/(-4)*(-12)/2. What is the tens digit of x(w)?
1
Let p = 111 + -74. What is the tens digit of p?
3
Let u = 7 + -4. Suppose -b = u*b - 84. What is the tens digit of b?
2
Let b = -9 + 27. Suppose -3*t + b = 84. What is the units digit of t/2*-1 + -2?
9
Let y(n) = n**3 + 4*n**2 - 3*n + 1. Let m be y(-4). Let g = 8 + m. What is the tens digit of g?
2
Let g(y) = y**3 - 6*y**2 + y. Let j = -4 - -10. What is the units digit of g(j)?
6
Let t = -2 - -6. Let y(h) = h**2 + 10*h + 12. Let u be y(-9). Suppose -9*o + 4*o = 3*l - 14, 5*o + t = u*l. What is the units digit of o?
1
Let f be 16/6 + (-1)/(-3). Suppose -5*t = -3*s - 24, 0*s + 12 = -s + f*t. Let l = 4 + s. What is the units digit of l?
1
Suppose -2*h - m = -1, 5*h + 0*m = 5*m - 5. Suppose h = 2*s - 5*s + 864. What is the tens digit of (2/(-4))/((-8)/s)?
1
What is the units digit of 1/((-3)/(-306)*3)?
4
Suppose 3*x + 0*x - 630 = -3*l, -5*x - 1020 = -5*l. What is the units digit of l?
7
Let m(c) = c**2 - 7*c + 8. Let l be m(6). Suppose l*u - 4 = 6. What is the units digit of u?
5
Let m(b) = 3*b - 10. Let g(a) = a + 4. Let k be g(-10). Let l be k/(-9)*-1*-12. What is the units digit of m(l)?
4
Let q(y) = y**3 + 5*y**2 + 4*y - 1. Let p be q(-3). Suppose -p*d + 5 = -0. Suppose 3*a - 11 = 4*w, 5*w - 10 - d = a. What is the units digit of a?
9
Let p(x) = x**2 - 9*x - 7. What is the tens digit of p(-7)?
0
Suppose 2*t = -0*t. Suppose -w + t*x - 3*x = -5, 2*w + 4*x - 10 = 0. Let f(l) = l + 2. What is the units digit of f(w)?
7
Let x(z) = 2*z**3 - 5*z**2 - z**3 + 0*z**3 - 7 + 4*z. What is the units digit of x(5)?
3
Suppose -w = 3*g - 11, -4*g + 6 = -w - 2*w. Suppose l = 9 - g. What is the units digit of l?
6
Suppose -8 = -4*f - 0*f. Suppose 0 = f*w - 4*v - 22, 5*w = 4*w - 3*v - 4. What is the units digit of w?
5
Suppose 0 = 3*r - 4*b - 3, -5*b + 2 = 2*r - 2*b. Let t = 1 - r. Let g(f) = f**2 - f + 8. What is the units digit of g(t)?
8
Let w(p) = 4*p + 1. Let a be w(-1). Let x be a/(-12)*2*-2. Let h = 7 + x. What is the units digit of h?
6
Suppose c + 2*c = 6. Let o(l) = -4 + 6 + 2*l**2 + c*l + 2. What is the tens digit of o(-3)?
1
Let r = -1 + 6. What is the units digit of r?
5
Let b = -11 + 10. Let k(y) = 11*y**2 - y - 1. What is the units digit of k(b)?
1
Suppose -4*s = 5*v - 7, -s - s - 4 = 0. Suppose 0 = 2*w + 5*p, 0*w + 4*p = -w - v. What is the units digit of w?
5
What is the units digit of 954/38 - (-14)/(-133)?
5
Suppose -181 = -2*z - 11. What is the tens digit of z?
8
Let a(k) = -3*k + 23. What is the units digit of a(-15)?
8
Let f(g) = -g**2 + 4*g + 7. Let i be (-4)/(-2) + (2 - -1). What is the units digit of f(i)?
2
Suppose 4*x - 17 = 15. What is the units digit of x?
8
Suppose u + 2*c + 74 = 4*u, c + 24 = u. What is the units digit of u?
6
Let q = -12 - -22. What is the tens digit of q?
1
Suppose -3*k - 12 = 3*t, -2*t - 5*k - 34 = -11. Let s = t + 1. What is the units digit of (6/(-9))/(s/(-9))?
3
Suppose 2*k + 2*k - 28 = 0. Suppose 2*p = k*p - 25. What is the units digit of p?
5
Let y = -7 - -7. Suppose y = -r - r + 66. What is the tens digit of r?
3
Let n(b) = -b**3 + 6*b**2 - 3*b - 5. Let m be n(5). Suppose m*a - 4*a = 15. What is the tens digit of a?
1
What is the units digit of 28 - (1 - 10/(-5))?
5
Suppose -2*h = -2*f - 0*h - 22, 0 = -2*h + 10. Let g be (3 - -2)/(1/2). Let d = f + g. What is the units digit of d?
4
Suppose n - 4*n = -5*y + 100, 0 = 2*y + 2*n - 56. Let j = -14 + y. What is the units digit of j?
9
Let a be (81/3)/(-1) + -4. Let w = 45 + a. What is the tens digit of w?
1
Let v(i) = -3*i**3 - 21*i**2 + 2*i + 19. Let g(j) = -j**3 - 7*j**2 + j + 6. Let l(x) = -8*g(x) + 3*v(x). What is the units digit of l(-7)?
3
Let i = -27 - 23. Let o = -15 - i. What is the tens digit of o?
3
Let n be 7/(-14)*(1 + 1). Let u = 21 - n. What is the units digit of u?
2
Let x(r) = -25*r - 31. What is the hundreds digit of x(-9)?
1
Suppose 3*f - 4 = 2. Suppose 12 = f*o - o. What is the units digi
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate the remainder when 168 is divided by 47 + (-3*(-10)/6 - 7).
33
Suppose -3*u + 30 = u + 2*h, 4*h - 24 = -2*u. What is the remainder when 61 is divided by (-5 + 28/8)/(u/(-92))?
15
Suppose -2*a - 23 = -l - 5*a, -a = -2*l + 25. Let u = -384 + 435. What is the remainder when u is divided by l?
9
Let b(a) = a**3 + 20*a**2 - 59*a + 24. What is the remainder when b(-15) is divided by 97?
94
Suppose 3*g + 364 = 7. Let r = 202 + g. What is the remainder when r is divided by 30?
23
Let j = -39 + 38. Suppose 5*d - 282 = p, -2*d + p + 123 = 4*p. What is the remainder when d is divided by (-15)/20 + j/4 - -23?
13
Suppose 12 - 7 = -5*p, -20*c + 2*p = -25762. What is the remainder when 3878 is divided by c?
14
Let m(p) = p**3 - 2*p**2 - 4*p + 6. Let y be m(5). Let x = y + -93. Let a = 22 - x. Calculate the remainder when a is divided by 11.
10
What is the remainder when (-23)/(-92) - (-511)/4 is divided by 88?
40
Let n be 3 - (-14)/(-4) - 465/(-6). Let c = -72 + n. Calculate the remainder when (-74)/(-6) - 4/(-6) is divided by c.
3
Suppose 0*c + 1104 = 4*c + 4*p, 4*c - 1084 = p. Let q = -263 + c. What is the remainder when 33 is divided by q?
6
Let h(w) = w**3 + 9*w**2 - 18*w - 24. Let b be h(-12). Let r = b + 260. Calculate the remainder when 35 is divided by r.
15
Calculate the remainder when 1232 is divided by 118/5*((-10)/(-3) + 1550/372).
170
Let g be ((-3)/5)/(10/(-50)). Calculate the remainder when 14276/32 + 1/(-8) + g is divided by 11.
9
Let b be (-5 + 2 + 0)*1. Let x(w) = 8*w + 13. Let s(c) = 2*c. Let p(h) = b*s(h) - x(h). Calculate the remainder when p(-4) is divided by 13.
4
Suppose 0 = -2*k - 3*o + 174, 406*k = 410*k + 4*o - 332. Calculate the remainder when 3061 is divided by k.
61
Let j = -379 - -390. Suppose -14*l = j*l - 4925. What is the remainder when l is divided by 40?
37
Let y = -86 + 117. Let w = y - 1. What is the remainder when w is divided by (-13)/(-1)*(-3)/(-6)*2?
4
Let k(h) = 20 + 10*h**2 - 19 + 2*h**2 + 9*h - 10*h. Let g(o) = o**2 + 6*o + 1. Let j be g(-6). What is the remainder when 71 is divided by k(j)?
11
Calculate the remainder when 10784/20 - ((-55)/(-25) - 2) is divided by 25.
14
Let s(a) = a**3 + 49*a**2 - 64*a - 546. Calculate the remainder when 2926 is divided by s(-50).
0
Let q(y) = 3*y - y - 6*y + 15*y**2 + 20 - y - y**3. Let n be q(14). Let m = n + -82. Calculate the remainder when m is divided by 13.
12
Suppose 24640*m - 24634*m = 612. Calculate the remainder when 5401 is divided by m.
97
Suppose -y + 539 = -4*d, 6*y + 2560 = 11*y + 7*d. Calculate the remainder when y is divided by 143.
90
Suppose 31*l = 33*l + 6, 0 = 5*r + 2*l - 459. Suppose 67 + 158 = 5*p. What is the remainder when r is divided by p?
3
Suppose 4*p - 123 - 221 = 0. Suppose s - 73 = p. What is the remainder when s is divided by 18?
15
Let t be (-8)/5*((-86)/(-4) - -1). Let g(y) = 4*y + 226. What is the remainder when g(t) is divided by 12?
10
Let y = 2750 - 2731. Calculate the remainder when 259 is divided by y.
12
Suppose x - 5*i = 120, -5*x - 3*i + 480 = 2*i. Let w(v) = -v**3 - 15*v**2 + 37*v + 390. Calculate the remainder when x is divided by w(-16).
46
What is the remainder when (-59432)/(-204) + 1/(-3) is divided by 59?
55
What is the remainder when (-38)/((-456)/7308) - (-7 + -1) is divided by 32?
9
Suppose 0 = -4*b + 167 + 25. Suppose -5*y + b = -32. Suppose 2*z = -3*m + 138 - 17, 0 = -2*z - 4*m + 120. Calculate the remainder when z is divided by y.
14
Let n(j) = -j**2 + 11*j - 18. Let u be n(2). Let k(b) = -b**2 + 18*b + 88. Suppose v = 6*v - 115. What is the remainder when k(u) is divided by v?
19
Let p(r) = r**3 + 34*r**2 - 342*r + 69. What is the remainder when p(-42) is divided by 55?
46
Suppose 0 = 17*q - 9 - 314. Calculate the remainder when (-2162)/(-38) + 10/95 is divided by q.
0
Suppose -1233 = -3*u - 399. Let w = u - 274. Let m(t) = 2*t**2 + 10*t + 7. What is the remainder when m(-6) is divided by w?
3
What is the remainder when 593 is divided by (2 - -41) + (4/5)/(2/(-5))?
19
Let u = -393 - -437. Let k = 206 + -194. What is the remainder when u is divided by k?
8
What is the remainder when 282 is divided by (1/2)/(14/196) + 4?
7
Let b(y) = -1219*y - 9667. What is the remainder when b(-8) is divided by 26 - (2 - 0) - 0?
13
Let h(k) = -2*k - 13. Let j be h(-10). Suppose -j*d - 35 = -8*d. Let o = d - 3. What is the remainder when o is divided by 11?
10
Let x = -476 - -528. Suppose 25*u - x = 21*u. Calculate the remainder when u is divided by 4.
1
Suppose -o + 163 = 42. Let q = 171 - o. Suppose 9*b - 4*b = q. What is the remainder when 48 is divided by b?
8
Let u = 3 + -3. Suppose -h - 7 = -u. Let n = 8 + h. Calculate the remainder when 1 is divided by n.
0
Let w = -1227 - -1334. Suppose 0 = 11*i - 18*i + 1435. What is the remainder when i is divided by w?
98
Let f(l) = -59*l**3 + 2*l**2 + 2*l + 1. Suppose -7*c + 315 = -84. Let x = c - 36. What is the remainder when f(-1) is divided by x?
18
Calculate the remainder when 5298 is divided by (-2882)/(-110) + 5 + 124/(-20).
23
Let x(g) = -g**3 - 19*g**2 - 33*g + 52. Calculate the remainder when 1082 is divided by x(-17).
32
Let a be -2 - 9*2/6 - 0. Calculate the remainder when 63 is divided by 8 + 1 + 2 + a.
3
Let t = 291 + -171. Suppose 0 = 2*u + 12, -74 - 135 = -5*m - u. What is the remainder when t is divided by m?
34
Suppose 3*b + 1 = 7. Suppose 3*n + 2 = b*n + 4*d, 0 = 3*n + 3*d - 39. Calculate the remainder when 113 is divided by (-192)/(-5) + (-4)/n.
37
Let j(m) = 41*m - 450. Let c(s) = -s**3 - 4*s**2 + 14*s + 7. Let f be c(-6). Let q = 12 + f. What is the remainder when q is divided by j(11)?
0
Suppose 197 - 41 = 12*p. Let x(k) = 17*k - 45. What is the remainder when x(10) is divided by p?
8
Suppose 0 = -11*m - 10*m - 3*m. Suppose -10*i - 3*i + 1001 = m. What is the remainder when i is divided by 43?
34
Let l = -5824 - -5836. What is the remainder when 59 is divided by l?
11
Let l be 1*(-8)/((-24)/351). Let v = l + -48. Calculate the remainder when v is divided by 14.
13
Suppose 2*f = 7*f - 5*m - 265, 5*f - 277 = 2*m. Suppose -12*y + 48 = 264. Let d = 33 + y. Calculate the remainder when f is divided by d.
12
Suppose 0 = -228*r + 227*r - 34. Let h = -10 - r. What is the remainder when 33 is divided by h?
9
Let o be (-544)/680 - 43/10*44. Let x = -156 - o. Calculate the remainder when x is divided by 19.
15
Suppose 5*b = -369*l + 367*l + 960, 0 = 4*l - 4*b - 2004. Suppose -65 = -y - 2*s, 2*y = 3*s + 181 - 30. Calculate the remainder when l is divided by y.
69
Let t(q) = -q**3 - 8*q**2 - 10*q - 18. Let y = 24 - 19. Let r(m) = -m**3 + 6*m**2 + 2*m - 4. Calculate the remainder when t(-9) is divided by r(y).
29
Let r be (-2)/(-6) - (-26)/(-6). Let v(f) = -f**3 - 3*f**2 - 4*f + 2. What is the remainder when v(r) is divided by (24/10)/((-10)/(-25))?
4
Suppose 18 = 3*y - 4*v - 22, 5*y + 5*v = 55. Calculate the remainder when 26 is divided by y.
2
Let x(p) = p**2 - 1. Let y be x(4). Let v(u) = -u**3 + 5*u**2 + 3*u - 1. What is the remainder when (y/(-5) - -1)*-38 is divided by v(3)?
24
Let m = 136 - 363. Let u = 259 + m. Calculate the remainder when 158 is divided by u.
30
Let i = -28558 - -29029. What is the remainder when 480 is divided by i?
9
Suppose 3*k + 346 = 5*k + 2*f, f = -4*k + 689. Calculate the remainder when k is divided by 37.
24
Suppose 6 = -h - 8. Let g(v) = v + 66. Let a = -62 + 73. Calculate the remainder when g(h) is divided by a.
8
Suppose 3*a - 2165 = g, 5*g - 9*g = 8. What is the remainder when a is divided by 258?
205
Let p = -1258 + 1418. What is the remainder when 184 is divided by p?
24
Suppose 0 = -28*h - 26*h + 1674. What is the remainder when 867 is divided by h?
30
Let p(q) = -q**2 - 20*q - 24. Let a be p(-9). Suppose -6*s + 2*s + 18 = x, 0 = -5*x - 5*s + a. Calculate the remainder when 31 is divided by x.
3
Suppose 21*w + 319 = 50*w. Suppose 0 = w*q + 25*q - 4212. Calculate the remainder when q is divided by 33.
18
Let q(n) = 37*n + 3028. What is the remainder when q(-79) is divided by 7?
0
Suppose -383 = 4*r - r - 4*c, r = 4*c - 141. Let o(x) = -9*x**2 + 4*x + 8. Let v be o(-3). Let j = v - r. What is the remainder when j is divided by 13?
10
Suppose -3*f + 2*t + 126 = f, -3*f + 102 = -3*t. Let h(d) = -125*d + 20279. Calculate the remainder when
|
{
"pile_set_name": "DM Mathematics"
}
|
, 110, 95?
80
What is the next term in -59409, -59408, -59407, -59406, -59405, -59404?
-59403
What is next in 6363, 6382, 6415, 6468, 6547, 6658?
6807
What is next in 74, -427, -928, -1429?
-1930
What is next in -11, -68, -205, -458, -863, -1456, -2273, -3350?
-4723
What comes next: -3432, -13742, -30938, -55032, -86036, -123962?
-168822
What comes next: 18, -145, -432, -855, -1426, -2157?
-3060
What is the next term in -5634, -10735, -15834, -20931, -26026, -31119, -36210?
-41299
What comes next: -1242, -2428, -3614?
-4800
What is next in -621577, -621584, -621591, -621598?
-621605
What is the next term in -630, -1232, -1798, -2316, -2774, -3160, -3462?
-3668
What is next in 65397, 65395, 65381, 65349, 65293?
65207
What is the next term in -55, -159, -331, -571, -879, -1255, -1699?
-2211
What is the next term in -386, -378, -366, -350, -330?
-306
What is the next term in 1529, 6015, 13491, 23957, 37413, 53859?
73295
What is the next term in -395, -433, -457, -461, -439, -385?
-293
What is the next term in -153, -318, -495, -690, -909, -1158, -1443?
-1770
What is the next term in 1191, 4717, 10577, 18765, 29275?
42101
What is next in 279, 251, 223, 201, 191, 199, 231, 293?
391
What is next in 12094, 24227, 36360, 48493, 60626, 72759?
84892
What is next in 49831, 49832, 49841, 49864, 49907, 49976, 50077, 50216?
50399
What comes next: 40904, 40905, 40906, 40907, 40908?
40909
What is the next term in 5613, 44958, 151765, 359766, 702693, 1214278?
1928253
What is next in 3001, 3012, 3035, 3076, 3141?
3236
What is the next term in -324168, -648343, -972522, -1296705?
-1620892
What is the next term in -53, -278, -789, -1730, -3245, -5478?
-8573
What comes next: 2309, 4669, 7063, 9497, 11977, 14509?
17099
What comes next: -56624, -113237, -169850, -226463?
-283076
What comes next: -44, -57, -56, -35, 12, 91, 208, 369?
580
What is next in -4703, -9128, -13553, -17978, -22403?
-26828
What is next in 5479, 5761, 6043, 6325, 6607?
6889
What is next in -285, -1108, -2483, -4416, -6913, -9980?
-13623
What is next in -576, -2211, -4932, -8733, -13608, -19551?
-26556
What is next in -1085, -1012, -891, -716, -481, -180?
193
What is next in 228, 309, 390, 471?
552
What is next in 6271, 6278, 6285, 6292?
6299
What is next in 27, 1, -23, -45?
-65
What is next in 59158, 118304, 177442, 236572?
295694
What is next in 15629, 15648, 15667, 15686, 15705?
15724
What is the next term in -2677, -2490, -2169, -1708, -1101, -342, 575, 1656?
2907
What comes next: -27360, -109414, -246164, -437604, -683728?
-984530
What comes next: 11, 9, -43, -187, -465, -919, -1591, -2523?
-3757
What is the next term in -50, -572, -1514, -2876?
-4658
What is next in 15, -29, -95, -183, -293, -425?
-579
What is the next term in -123, -692, -1263, -1836?
-2411
What is next in -1209, -2797, -5441, -9141, -13897, -19709?
-26577
What is the next term in 157099, 314198, 471293, 628384, 785471?
942554
What is next in 31229, 31226, 31221, 31214?
31205
What comes next: -963, -6227, -15001, -27285, -43079?
-62383
What comes next: -4119, -4141, -4179, -4233, -4303, -4389?
-4491
What comes next: -1224, -4828, -10812, -19176, -29920, -43044, -58548?
-76432
What comes next: 3981, 3982, 3983?
3984
What comes next: -773, -743, -671, -539, -329, -23, 397?
949
What comes next: 109, 408, 897, 1576, 2445, 3504?
4753
What is the next term in 5171, 5213, 5253, 5291, 5327, 5361?
5393
What is the next term in -1619, -1599, -1579, -1559?
-1539
What is the next term in -165, -411, -711, -1059, -1449, -1875, -2331?
-2811
What comes next: 161208, 161092, 160906, 160656, 160348, 159988, 159582?
159136
What comes next: 9185, 9191, 9199, 9209, 9221?
9235
What is the next term in -18965, -37924, -56883, -75842?
-94801
What is the next term in 107, 207, 289, 347, 375, 367, 317, 219?
67
What is next in 9597911, 9597910, 9597909, 9597908?
9597907
What comes next: -8, -122, -358, -776, -1436, -2398?
-3722
What is the next term in -23777, -23707, -23591, -23429, -23221, -22967, -22667?
-22321
What comes next: 25952, 51903, 77856, 103811, 129768?
155727
What is next in 136, 285, 432, 577?
720
What is next in -77, -632, -1553, -2834, -4469, -6452, -8777, -11438?
-14429
What is next in -2196, -2224, -2252, -2280, -2308, -2336?
-2364
What is the next term in -11682, -23376, -35072, -46770, -58470, -70172, -81876?
-93582
What is next in -328, -689, -1036, -1363, -1664, -1933, -2164, -2351?
-2488
What is the next term in -7134, -7330, -7658, -8118, -8710?
-9434
What comes next: 279, 258, 217, 150, 51, -86?
-267
What comes next: 135022, 540089, 1215202, 2160361, 3375566, 4860817?
6616114
What is next in 1525038, 3050075, 4575112?
6100149
What is the next term in 16974, 17233, 17494, 17757, 18022, 18289?
18558
What is the next term in -194, -397, -618, -857, -1114, -1389?
-1682
What is next in 2676, 5426, 8176, 10926, 13676?
16426
What is next in 1267, 1310, 1351, 1396, 1451?
1522
What comes next: -98, -260, -408, -536, -638, -708, -740?
-728
What is the next term in -7202, -7204, -7206, -7208?
-7210
What is next in 1520, 1551, 1582, 1613?
1644
What comes next: -5020, -20070, -45152, -80266, -125412, -180590, -245800?
-321042
What is next in 1866192, 1866193, 1866194?
1866195
What is next in -226, -850, -1904, -3400, -5350, -7766?
-10660
What is next in 1930, 1908, 1872, 1816, 1734, 1620, 1468, 1272?
1026
What is next in -9638, -38533, -86690, -154109?
-240790
What is the next term in -1616, -6498, -14672, -26168, -41016, -59246, -80888?
-105972
What is the next term in -6580, -6580, -6582, -6586?
-6592
What is the next term in -403164, -403162, -403160?
-403158
What is next in 3005, 2996, 2983, 2966, 2945, 2920?
2891
What is the next term in 162428, 324856, 487284, 649712, 812140, 974568?
1136996
What comes next: 688, 406, 124, -158, -440, -722?
-1004
What comes next: 705, 1412, 2115, 2814, 3509, 4200?
4887
What comes next: -41562, -41560, -41558, -41556, -41554, -41552?
-41550
What is next in 13802, 27619, 41446, 55283?
69130
What is next in 938, 993, 1050, 1109, 1170, 1233, 1298?
1365
What is the next term in 1155, 2560, 3967, 5376, 6787, 8200, 9615?
11032
What is next in 4139, 8282, 12427, 16574?
20723
What is next in -249, -2027, -6831, -16167, -31541, -54459, -86427, -128951?
-183537
What comes next: 679, 758, 837, 916, 995?
1074
What comes next: 45434, 90873, 136316, 181763?
227214
What is next in 930240, 930243, 930246, 930249, 930252?
930255
What comes next: 424, 442, 462, 484?
508
What comes next: -33739, -33702, -33603, -33412, -33099, -32634?
-31987
What is the next term in 6264, 50148, 169262, 401220, 783636, 1354124?
2150298
What is the next term in -373, -356, -333, -304, -269?
-228
What is next in 10547, 10560, 10581, 10610, 10647?
10692
What comes next: -1362354, -1362352, -1362340, -1362312, -1362262?
-1362184
What is the next term in -33283, -33288, -33293?
-33298
What is the next term in 4938, 19766, 44488, 79110, 123638, 178078?
242436
What is the next term in -1613, -1588, -1559, -1526, -1489, -1448, -1403?
-1354
What comes next: 49591, 49595, 49599?
49603
What is next in 131, 23, -263, -817, -1729, -3089, -4987, -7513?
-10757
What is next in 11, 52, 113, 188, 271, 356, 437?
508
What is the next term in 1277728, 1277734, 1277740, 1277746, 1277752?
1277758
What is next in 46275, 92548, 138811, 185058, 231283, 277480, 323643, 369766?
415843
What comes next: -100, -389, -848, -1477, -2276, -3245, -4384?
-5693
What comes next: 198, 265, 366, 495, 646?
813
What is the next term in -1836, -1822, -1820, -1836, -1876, -1946, -2052, -2200?
-2396
What comes next: 1808, 3619, 5430, 7241, 9052, 10863?
12674
What is the next term in 5655, 6076, 6497, 6918, 7339?
7760
What is the next term in -3615, -28899, -97529, -231177, -451515, -780215, -1238949, -1849389?
-2633207
What comes next: -87, 354, 791, 1224, 1653, 2078?
2499
What comes next: -50948, -101878, -152796, -203696, -254572, -305418?
-356228
What comes next: -62, 38, 144, 262, 398, 558?
748
What comes next: 6601, 13203, 19805, 26407, 33009, 39611?
46213
What comes next: 667, 936, 1205?
1474
What is next in 3695, 5447, 7199?
8951
What is next in 817, 846, 875, 904, 933?
962
What is the next term in 5481, 5466, 5443, 5412, 5373, 5326?
5271
What comes next: 172, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
5/2, -0.4?
-5/2
Which is the second biggest value? (a) 0.104 (b) 13 (c) -1/3
a
Which is the second biggest value? (a) 7 (b) -2 (c) 0.11
c
Which is the third biggest value? (a) -2 (b) 4 (c) -10 (d) -2/9 (e) 1
d
What is the second smallest value in -7, -0.3, -0.1, 1?
-0.3
What is the smallest value in -4, 4.9, 0.5, -3?
-4
What is the second smallest value in -10, -1, 174, 0.4?
-1
Which is the second smallest value? (a) 3/8 (b) 3.3 (c) 0.08
a
Which is the second biggest value? (a) -9 (b) -0.1 (c) -4 (d) 0.2 (e) 2/119
e
Which is the smallest value? (a) 5 (b) -2/3 (c) -1 (d) -0.5
c
Which is the second biggest value? (a) -5 (b) -2 (c) -33.6 (d) 0.1
b
Which is the fourth smallest value? (a) 3 (b) -4/9 (c) 0.5 (d) -0.2 (e) -0.08
c
Which is the smallest value? (a) 2/7 (b) -1 (c) 0 (d) -0.2 (e) -5
e
Which is the biggest value? (a) 0.2 (b) 2 (c) -1.6
b
Which is the smallest value? (a) 0.5 (b) -5 (c) 43 (d) -0.2
b
Which is the second smallest value? (a) 40 (b) -0.2 (c) 5
c
Which is the third biggest value? (a) 19 (b) -1 (c) -1/4 (d) 2
c
What is the third smallest value in 0.5, -1/4, -0.1, 0.85?
0.5
What is the smallest value in -1/8, -2/11, -20?
-20
Which is the smallest value? (a) 3 (b) 22 (c) -6
c
Which is the third biggest value? (a) 2 (b) -1/11 (c) 4/41
b
What is the third biggest value in -4, -5, -10.7, -1, -0.02?
-4
Which is the second smallest value? (a) -0.03 (b) -8 (c) 0.9
a
Which is the second smallest value? (a) 4 (b) -0.19 (c) 2.1 (d) -2 (e) -3
d
Which is the smallest value? (a) 0.04 (b) 0.2 (c) 0.4 (d) -0.4 (e) -4
e
Which is the second biggest value? (a) -4/101 (b) 3 (c) -2/7
a
Which is the fifth smallest value? (a) 13 (b) 0.4 (c) 0.5 (d) -1 (e) 0.35
a
Which is the fourth biggest value? (a) 5 (b) -1/4 (c) -1/2 (d) -113
d
What is the biggest value in -0.4, -18, 0.03?
0.03
Which is the fourth smallest value? (a) 2/7 (b) -5 (c) 2/9 (d) 21 (e) 3
e
What is the biggest value in -2, -1/2, 1, 1.4?
1.4
Which is the third smallest value? (a) 2 (b) -5 (c) 0.3 (d) 0.4 (e) 0
c
What is the fourth biggest value in 1, 3/2, -1/3, 292?
-1/3
Which is the smallest value? (a) 4/3 (b) -2 (c) -160.8
c
What is the second smallest value in 3.3, 9, 0.2?
3.3
Which is the third smallest value? (a) 0 (b) 1/4 (c) 1/25
b
Which is the fourth biggest value? (a) 24 (b) 0.3 (c) -1 (d) 0.1 (e) 8
d
Which is the third biggest value? (a) -1/36 (b) -0.5 (c) 0.5 (d) 0.04 (e) -1/6
a
Which is the second smallest value? (a) 1/7 (b) -3/4 (c) -2/95
c
What is the third smallest value in -0.3, -1, -95, 5?
-0.3
What is the second biggest value in 0.023, -2, 0.1?
0.023
Which is the third smallest value? (a) 1 (b) -4 (c) -252 (d) 5
a
What is the smallest value in 94/17, 1, 0.1?
0.1
What is the third smallest value in -0.1, -1, 2, -9?
-0.1
What is the second smallest value in 2/21, -5, 0.4, 1/2, 11/10?
2/21
What is the fourth biggest value in 7, -35, 3, -3?
-35
Which is the second smallest value? (a) 2/27 (b) -4 (c) 3 (d) 1/2
a
What is the second biggest value in -0.5, -3, 4, -2, -121?
-0.5
What is the third smallest value in 3, 0.3, 1/27, -0.3, 7?
0.3
Which is the fourth smallest value? (a) -0.04 (b) -153 (c) -2/13 (d) 1
d
Which is the second smallest value? (a) 138 (b) -4 (c) 3
c
Which is the third smallest value? (a) 2 (b) 2/5 (c) -4 (d) -33
b
What is the third biggest value in -1/3, 4, 46/9, -1, 0.19?
0.19
What is the smallest value in 0.083, -2, -1/5, -2/23, 3?
-2
Which is the biggest value? (a) -3 (b) -0.1 (c) 3 (d) -1
c
What is the smallest value in 0.1, 1/3, -0.4, 3/8, 75?
-0.4
What is the smallest value in 7, -2.89, 1?
-2.89
Which is the second smallest value? (a) 0.03 (b) 15 (c) -47
a
What is the smallest value in -3, -2/3, 36/13, -2?
-3
Which is the smallest value? (a) 3/5 (b) -1/6 (c) 2/7 (d) 4 (e) -1/5
e
What is the biggest value in -5, -10, -1/4, 1/4?
1/4
Which is the fifth smallest value? (a) 0.5 (b) 1/10 (c) 2/7 (d) 4 (e) 269
e
What is the second smallest value in 0.1, -1/4, 1/6, -3, -3.7?
-3
Which is the third biggest value? (a) 3 (b) -1 (c) -0.1 (d) 23/3
c
Which is the third biggest value? (a) -1/2 (b) 0.09 (c) 5 (d) -0.21
d
Which is the smallest value? (a) -0.2 (b) 5 (c) 3/5 (d) 4/27
a
What is the smallest value in -3, 1.4, 3/8, 0.34?
-3
What is the fourth smallest value in 4, 0.14, 0.2, 0.1?
4
What is the fourth biggest value in 1/85, 8, 0, -2/11?
-2/11
Which is the third smallest value? (a) -0.4 (b) 1 (c) -0.5 (d) -5 (e) 0
a
What is the second smallest value in -1/2, 11, -1, 1/31?
-1/2
What is the third smallest value in -41, -2, 4?
4
What is the second biggest value in 0.4, -0.7, -0.3, 0.02, 0.2?
0.2
Which is the third biggest value? (a) -0.04 (b) -1/3 (c) 2/5 (d) -7 (e) 1.2
a
Which is the biggest value? (a) -2 (b) 5/3 (c) 2/95
b
What is the second smallest value in 4, -834, 3?
3
What is the fourth biggest value in 148, 0, -5, 0.3?
-5
What is the third smallest value in 0.8, 1/9, -2/33?
0.8
Which is the fifth smallest value? (a) 0.5 (b) -3/5 (c) 5 (d) -7 (e) 4
c
Which is the second smallest value? (a) -0.1 (b) 1082 (c) -0.2
a
Which is the third biggest value? (a) 3 (b) -1 (c) -90 (d) -4
d
Which is the biggest value? (a) -1/2 (b) 0.1 (c) -0.26 (d) 6
d
Which is the biggest value? (a) 79 (b) 11 (c) -0.01
a
Which is the fourth biggest value? (a) -0.4 (b) -3/2 (c) 2 (d) 0.1
b
What is the fourth smallest value in 7, 4/3, -0.01, -1?
7
What is the smallest value in 2/3, 0.186, -0.3, -4?
-4
What is the third biggest value in 270, 4/11, 0.5?
4/11
What is the third biggest value in 1, -71, -1/2, 2/7, 5?
2/7
Which is the third biggest value? (a) 1/2 (b) 7 (c) 0 (d) 1/7 (e) -0.5
d
Which is the fourth biggest value? (a) 0 (b) -9 (c) 0.5 (d) 31
b
What is the second smallest value in -0.3, -3, -50?
-3
Which is the second biggest value? (a) -2 (b) 1.4 (c) 1/9 (d) 3 (e) -3
b
Which is the fourth biggest value? (a) 0.5 (b) 1/10 (c) -0.4 (d) -0.2 (e) 4
d
What is the smallest value in 0, -4.5, -9?
-9
Which is the smallest value? (a) -0.5 (b) -0.0421 (c) -3
c
Which is the third smallest value? (a) 5 (b) 14 (c) -0.4 (d) -3 (e) -32
c
What is the biggest value in -5, -6, -0.04, -2/19?
-0.04
Which is the third biggest value? (a) 0.3 (b) -2026 (c) 5
b
Which is the third biggest value? (a) 3 (b) 386 (c) -0.2 (d) 1/3 (e) -2/3
d
What is the biggest value in -3/7, -0.04, -7?
-0.04
What is the smallest value in 0, -1.7, 0.1, 25?
-1.7
Which is the smallest value? (a) -2/13 (b) -0.2 (c) -995
c
Which is the second biggest value? (a) -5 (b) 434 (c) -1/5
c
What is the second biggest value in 1/3, -1, -2/203, -3/5?
-2/203
Which is the biggest value? (a) 2/7 (b) -8 (c) -6.4
a
Which is the second biggest value? (a) -2/11 (b) -5 (c) 0.045
a
What is the fourth biggest value in -2/3, -1/8, -65/8, 5, -5?
-5
Which is the second biggest value? (a) 0.4 (b) -5 (c) -1 (d) -0.1 (e) 12
a
Which is the third biggest value? (a) -1/11 (b) -2/17 (c) -1/2 (d) -1
c
What is the third smallest value in 5, 0.2, 7, -7?
5
What is the biggest value in 5/11, 3/2, -5?
3/2
What is the fourth biggest value in -3, 12/125, -2/7, 2?
-3
What is the smallest value in 4, -2/19, -289/14?
-289/14
What is the third biggest value in -10/9, 5, 3, 0, -4?
0
Which is the second biggest value? (a) 11 (b) -0.4 (c) -1/6 (d) 1
d
Which is the biggest value? (a) -0.1 (b) -1 (c) 0 (d) 0.1
d
What is the second smallest value in 3, -2/9, -4, -1/6, 0.1?
-2/9
What is the second biggest value in 0.05, -8, -15?
-8
Which is the third biggest value? (a) -4/9 (b) -112 (c) 2/3 (d) 3/8
a
What is the fourth smallest value in 3, 0, -1/5, 0.1, 24?
3
What is the biggest value in 3, -16, -3/5?
3
Which is the biggest value? (a) 1 (b) -3 (c) 1/2 (d) 0.101
a
Which is the third biggest value? (a) -8 (b) -0.4 (c) 0.02 (d) 0
b
Which is the fourth smallest value? (a) 0.7 (b) 9 (c) -0.3 (d) 2/7
b
Which is the smallest value? (a) 5 (b) -0.1 (c) 50 (d) -4/5
d
What is the second biggest value in 1/7, -2, 22, 0, -23?
1/7
Which is the biggest value? (a) 2 (b) -4/7 (c) 29
c
Which is the third smallest value?
|
{
"pile_set_name": "DM Mathematics"
}
|
+ s(y). Let a(w) = 3*w - 18. Let f(r) = -a(r) - 4*z(r). Give f(-6).
8
Let n(c) = 2*c**2 - 1. Let b be n(1). Let d(u) = -4*u - u - b - u. Calculate d(-1).
5
Let u(t) = t**3 - 4*t**2 + 3. Let y(v) = v**3 - 12*v**2 + 20*v + 4. Let d be y(10). Determine u(d).
3
Let h(n) be the third derivative of n**6/120 + 3*n**5/20 - 11*n**3/6 - 6*n**2. What is h(-9)?
-11
Let a(n) be the first derivative of n**2/2 - 9*n - 8. Let p = 0 - 0. Determine a(p).
-9
Let u be 0/(-2) + 0 + -1. Let t = u + 4. Let x(k) = -t - k**2 - 2*k + 0*k**3 - 2*k**2 - k**3. What is x(-3)?
3
Let y(j) be the third derivative of 2*j**2 + 1/6*j**3 + 0 + 0*j + 1/12*j**5 - 1/24*j**4. What is y(1)?
5
Let h(z) = z + 5. Suppose 2*v - 10 = 34. Suppose -5*n + 0*s - 2*s = v, -17 = 5*n - 3*s. Give h(n).
1
Let k(d) be the first derivative of -d**2 + 2*d + 2. Let x(y) = -y + 7. Let g be x(9). Let h be (-3 - 1 - g) + -1. Calculate k(h).
8
Let l(b) = -10*b + 4*b**2 - b**2 - b**3 + 8*b. Suppose 3*p - 15 = -0. Suppose 1 + 14 = p*f. Give l(f).
-6
Suppose 3*y - 7 = 2. Let x(g) = 7*g + 2*g**2 - g**3 + 1 - y*g**2 - 4*g. Let t be (12/9)/((-6)/9). Determine x(t).
-1
Let y(o) = 6*o**2 + 20*o + 5. Let i(j) = -2*j**2 - 7*j - 2. Let g = 23 + -15. Let d(u) = g*i(u) + 3*y(u). Suppose 2 - 17 = 5*t. Calculate d(t).
5
Suppose -3*a = -8*a. Let q be 7/(-2)*20/(-35). Let h(d) = -7*d**q + 13*d**2 + 4 - d**2 - d - 6*d**2. Give h(a).
4
Let m(k) = -6*k + 30. Let g be m(6). Let y(z) = -z - 6. Calculate y(g).
0
Let m(g) = g - 5. Let x be m(4). Let z(f) = -3*f + 1. Determine z(x).
4
Let r(h) = -h**3 + 5*h**2 + 8*h - 8. Let d be r(6). Suppose -2 = -c - d. Let g(t) = t**3 + t**2 - t - 1. What is g(c)?
-3
Let x(y) = 14*y**3 + 9*y**2 - 9*y - 11. Let m(i) = -5*i**3 - 3*i**2 + 3*i + 4. Let w(a) = 17*m(a) + 6*x(a). Give w(3).
-7
Let i(c) = -c**2 - c. Let p(j) = j + 5. Let k be p(-3). Suppose -3*s - 3*h - 24 = 0, -h + k = 5. Let g be 13/s + (-2)/5. Calculate i(g).
-6
Suppose -5*c - 4 - 11 = 0. Let m(k) = -2*k**2 - 5*k + 3. Let o(s) = s**2 + 2*s - 2. Let q(i) = -4*m(i) - 7*o(i). Calculate q(c).
-7
Suppose 3*a + 2 = 4*a. Let l(o) = 0*o**a + 6*o**2 - 66*o + 64*o + o**3 - 8. Give l(-6).
4
Let j(o) = -13*o**3 + 17*o**2 + 25*o - 9. Let b(k) = 3*k**3 - 4*k**2 - 6*k + 2. Let s(w) = -9*b(w) - 2*j(w). Let r be (-12)/(-16)*(3 - -1). Determine s(r).
3
Suppose -3*o - 120 = -8*o. Suppose u - o = -3*u. Let i(n) = -n - 4. Give i(u).
-10
Let z(b) = -b**2 - 12*b. Let h be z(-12). Let o(v) be the third derivative of -1/6*v**4 - v**2 + h*v + 0 - 1/3*v**3 - 1/20*v**5. Give o(-2).
-6
Let b(p) = p**2 - 7*p + 7. Let h be ((-6)/4)/(5/(-10)). Suppose -d - h - 3 = 0. Let m(t) = -t**3 - 5*t**2 + 6*t + 6. Let s be m(d). Determine b(s).
1
Let f(s) be the second derivative of s**3/6 - 3*s**2 - 30*s. Suppose -2*h = -4 - 8. Give f(h).
0
Suppose -2*j - 3*v = -5, 3*j + 5*v - 7 = -0*v. Let n(d) = -2 + d + 1 + 0*d + j*d**2. Let f be 1/2*(3 + -1). Calculate n(f).
4
Let j = -54 + 49. Let v(f) = 2 + 0 - 7 + 7*f. Let w(q) = q - 1. Let b(u) = v(u) - 6*w(u). Calculate b(j).
-4
Let o(x) be the first derivative of 7*x**4/2 - x**3/3 - x**2/2 - x - 7. Give o(-1).
-15
Let c(s) = s + 3. Suppose -2*a + a + 6 = 0. Suppose k - 50 = a*k. Let x be 23/5 - k/25. Calculate c(x).
8
Let g be ((-1)/(-2))/(1/(-2)). Let o(m) = 5*m**2 + m. What is o(g)?
4
Let u(w) = -w - 4. Let j = -16 + 13. What is u(j)?
-1
Let r(k) = 5*k**3 + 10*k**2 + 5*k - 3. Let d(h) = 2*h**3 - 14*h**2 + 19*h**2 + 1 + 2*h - 2. Let q = 0 - 3. Let n(y) = q*r(y) + 7*d(y). What is n(5)?
-3
Let a(k) = -k + 7. Let g(m) = -2*m + 12. Let q(z) = -5*a(z) + 3*g(z). Determine q(-3).
4
Let x(m) = 13*m + 13. Let c(i) = -19*i - 19. Let q(s) = -5*c(s) - 7*x(s). Calculate q(-3).
-8
Let y = 15 - 13. Suppose 3*g - 9 = -3*a, 12 = 4*g + y*a + 3*a. Let b(h) = 2*h**2 - 5*h + 4. What is b(g)?
7
Suppose 4*p + 0*p + 3*n = 50, n = -5*p + 57. Let z be (-2)/(-11) + (-46)/p. Let c(g) = -g - 1. What is c(z)?
3
Let b(h) = h**2 + 6*h - 6. Let s be ((-2)/(-3))/((-2)/24) - -2. Determine b(s).
-6
Let r be (1/(-2))/((-1)/26). Suppose 3*q + 1 = r. Let g(f) = -f**2 + 5*f - 10. Let z(v) = v**2 - 5*v + 9. Let t(x) = -5*g(x) - 6*z(x). Give t(q).
0
Let z(m) = -2*m + 4. Let d be 12*(3 - (-17)/(-4)). Let h be (-1)/3*d/1. What is z(h)?
-6
Let i(h) = 5*h - 8 - 25*h**2 + 26*h**2 + 5. Suppose -3*l - 4*c = 18, -3*l = -0*c + c + 18. Give i(l).
3
Let y(u) = u**2 - u - 4. Let w = 8 - 5. Suppose 5*s + w*t + 2*t = 25, 0 = -t + 5. What is y(s)?
-4
Let n be (3 + -1)*(-3)/(-2). Suppose -8 = -c - n*g, c + 6*g = 2*g + 12. Let s(k) = k - 1. Let v(p) = 4*p + 3. Let x(o) = 3*s(o) - v(o). Determine x(c).
-2
Let h(b) = b**2 + 6*b + 2. Suppose j + 11 + 1 = -k, -5*j = -4*k + 15. What is h(j)?
9
Let j(f) be the first derivative of -4 + 3/2*f**2 - 2*f. What is j(2)?
4
Let l be 110/11 - 1*4. Let r(n) = -n**2 + 6*n. Determine r(l).
0
Let p = 26 - 19. Let y(o) = -p*o**2 - 2 + 4 + 6*o**2 + 5*o. Determine y(5).
2
Let t(y) = -2*y + 2. Let p be 5/((-5)/4) - (1 - 0). Give t(p).
12
Let u(k) = 1 - 6*k**3 + 33*k - 33*k. Determine u(1).
-5
Let q be (-5)/(-20) + 30/8. Suppose i + 3*i + q = 0. Let h be i*(5 - 2) + 9. Let v(d) = -d**3 + 5*d**2 + 5*d + 5. What is v(h)?
-1
Let n = 11 - 9. Let i(m) = -m**2 - 6*m - 2. Let x be i(-3). Let v(u) = -u - u - 6*u**n + x*u**2. Determine v(2).
0
Let i(r) = -r**2 - 2*r + 3. Let h be i(-3). Let t(q) = -q**3 - q**2 - q - 12. Give t(h).
-12
Suppose -4*c - 4 = -4*f + 4, 4*c + f - 12 = 0. Let l(m) = 2*m**3 - 3*m**2 + m. Determine l(c).
6
Let w(i) be the second derivative of i**5/5 + 13*i. What is w(-1)?
-4
Let a(w) = w**3 + w**2 - w + 14. Let c(o) = 2*o**2 + 17*o + 30. Let f be c(-6). Determine a(f).
14
Let n(y) be the first derivative of -9*y**2/2 + 11*y - 3. Let m(g) = -4*g + 5. Let v(b) = -5*m(b) + 2*n(b). What is v(2)?
1
Let t(j) be the third derivative of -j**4/8 - j**3/6 + 3*j**2. Let d be -1 - 5/((-15)/9). Determine t(d).
-7
Let a(h) = -h + 1. Let r(v) = 3*v**3 - v**2 - 2*v + 8. Let x(w) = 6*a(w) - r(w). Let o(k) = 2*k**3 + 2*k + 1. Let b(g) = -5*o(g) - 3*x(g). Determine b(-3).
-5
Let l(s) = 4*s + 7. Let c(d) = d - 1. Let w(b) = -3*c(b) + l(b). Give w(0).
10
Let b be (1 + 7/(-4))*-2. Let w(g) be the first derivative of b*g**2 + g - 1. Give w(-1).
-2
Let l(m) = -m**2 + 2. Let a = -15 - -18. What is l(a)?
-7
Let o = 1 - -4. Let c(t) = -t + o*t + 3 - 4 - t**2. Let v = 3 - -2. Calculate c(v).
-6
Suppose 0 = -3*p + 15. Let j be (p/3)/((-6)/18). Let m(q) = -2*q + 3. What is m(j)?
13
Let s(t) = t**3 + 11*t**2 - 6*t + 6. Let p(j) = j**3 + 6*j**2 - 3*j + 3. Let q(b) = 5*p(b) - 3*s(b). Let v(f) = -f. Let r be v(-2). Calculate q(r).
7
Let w = 2 + 5. Let f(g) = 56*g + 46. Let z(p) = -10*p - 9. Let s(q) = 2*f(q) + 11*z(q). Calculate s(w).
7
Let h = 14 + -15. Let y(t) = -8*t - 2. Let w be -2 + 17 + (-4)/2. Let p(s) = 4*s + 1. Let k(g) = w*p(g) + 6*y(g). What is k(h)?
-3
Let y(m) = -3*m - 2. Let p(q) be the second derivative of 0*q**2 + 2*q + 0 + 1/6*q**3. Let x(d) = 4*p(d) + y(d). Determine x(-4).
-6
Suppose 0 = -4*h + 7 - 39. Let m(y) = 3*y + 1. Let q(u) = 2*u + 1. Let b(t) = -3*m(t) + 4*q(t). Let d(v) = 6*v - 6. Let i(g) = h*b(g) - d(g). What is i(4)?
6
Let w(q) = 154*q + 5 - 152*q + 1. Give w(-5).
-4
Let z(l) = -l**2 - 19 - l + 16 + l**3 + 0*l - l**2. What is z(3)?
3
Let o(u) = 2*u + 6. Let m be 9/(10/4 - 2 - 2). Determine o(m).
-6
Let k(l) = 2*l - 2 + 5*l**2 - 2*l**3 + l**3 - 1. Let i be 1 - 2*(-3)/6. Let z(d) = 3*d - 1. Let m be z(i). Determine k(m).
7
Let n = -3 + 8. Suppose 4*g + 6 = n*g. Let m(b) = b + 4. What is m(g)?
10
Let q = 3 + -2. Let p be 3 + -2*q/2. Let x(b) = -2*b - 7*b**3 - 4*b**3 + p*b - 1 + 2*b**2. Give x(1).
-10
Let r(h) = -41*h + 87*h - 48*h + 9. Calculate r(6).
-3
Let k(v) be the second derivative of -5*v**4/6 - v**3/3 - v**2/2 + v. Suppose 3*u + 22 = -5*b, b = 3*b - u. Let a = 1 + b. Give k(a).
-9
Let a(d) = d**3 - 7*d**2 - 8*d - 3. Let g be (-57)/(-6) - 6/4. Let s be a(g). Let u be (-6)/s*(-3)/6. Let q(o) = 4*o**3 + o**2 + o + 1. What is q(u)?
-3
Let r(l) = 8*l**2 - l + 1. Let o(q) = 4*q - 10. Let p be o(7). Suppose -z = -0*z - 5*m + p, -3*m = 3*z - 18. Let f be (z/3)/(4/6). Give r(f).
8
Suppose -3*z = -0*z - 9. Let b(v) = -6*v**2 - 11*v + 5*v - 2*v**3 - 3 + v**z. Give b(-5).
2
Let i(v) = v**2 + 4*v + 1. Let p = -2 + -6. Let l = 3 + p. Give i(l).
6
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
-5, u, 1/6?
1/6
Let f = 9419 + -9419.3. Suppose 2*r - 7*r + 22 = -i, 0 = -2*i + 5*r - 39. What is the closest to -0.2 in i, 3, f?
f
Let t = 477605/56 + -59698/7. Let p = -17/11 - -95/33. Which is the nearest to 0.2? (a) 4 (b) 1 (c) t (d) p
c
Let j be (9/117)/(2/4). Let i = 395.736 + -437.7. Let d = i + -0.036. Which is the nearest to 1? (a) j (b) d (c) -3/7
a
Let o = 0.9 + -3.9. Let f = 119.4 + 34.6. Let r = f - 153. What is the nearest to r in o, -1, 1/7?
1/7
Let m = 3.01641 - 0.01641. Which is the nearest to 0? (a) -0.14 (b) m (c) 1/2 (d) 2/7
a
Let r = -11.708 - -11. Let k = r - -0.208. Which is the nearest to k? (a) 0.3 (b) 5 (c) 2
a
Suppose 5 + 3 = -2*d. Let a be (3 - 1)/(2/d). Let q = 163 + -165. What is the nearest to 0.1 in q, a, 2/5?
2/5
Suppose 72 = -67*y + 273. Let r be (2/(-2))/3*0. Which is the nearest to r? (a) -0.04 (b) y (c) -5
a
Let z(v) = v**2 + 2*v - 4. Let t(s) = -2*s**2 + 2*s - 1. Let f(r) = 3*t(r) + z(r). Let u be f(1). Which is the closest to -14? (a) u (b) -0.1 (c) 2/5
a
Let f = 22990 - 22990. Which is the closest to f? (a) -2/5 (b) -5/2 (c) -3/5 (d) -12
a
Let q be (9/(-6))/(4 - (-297)/(-54)). Which is the closest to 0? (a) q (b) 2/17 (c) -152
b
Let h = 4.9 - 4.4. What is the nearest to 0.1 in 19/5, -3, h, 3/2?
h
Let m = -1390 - -4169/3. Which is the closest to -1? (a) m (b) 2 (c) 1/2 (d) 2/3
a
Let o = -51818.2 + 51819. Let d = 6 + -10. Which is the closest to 1/4? (a) d (b) o (c) -1
b
Let g = -107/92 + 381/644. What is the nearest to -2/5 in g, 2/7, -2.14?
g
Let d = -3585 + 3582. What is the closest to 2 in -3/2, -5, d, 6?
-3/2
Let u = 81.89 - 82. Let r = 0.19 - u. Let n = -0.6 - -0.1. Which is the nearest to 4/13? (a) 0.5 (b) r (c) n
b
Let i = 20.5 + -20.5. Let u = -15 + 11. Which is the closest to -6? (a) -2/9 (b) u (c) 3 (d) i
b
Let z = 5620 + -5616. Which is the closest to z? (a) 0.2 (b) -85 (c) 0.4
c
Suppose -54 = -33*d - 247 - 38. Which is the nearest to -3/2? (a) 0.4 (b) 1 (c) d
a
Let g = -1643 - -1643.1. What is the nearest to -4/11 in -1/5, -0.3, -3, g?
-0.3
Suppose 3*g + 22 = 5*i, 0 = -3*i + 5*g + 34 - 24. Which is the closest to 1/4? (a) -458 (b) -1/4 (c) i
b
Let s = 31568 - 31572.28. Let x = -4.3 - -3.58. Let r = x + s. What is the closest to 0 in 1, r, -1/3?
-1/3
Let v = 40.1 + -11.1. Let j = v + -25. What is the nearest to -0.1 in -1/309, j, 0.5?
-1/309
Let r = 8884.11 + -8884. Which is the closest to 1/4? (a) 0.06 (b) r (c) -5 (d) -1/3
b
Let j = 2.8416 - -0.1584. What is the closest to 0 in -86, 0.5, j?
0.5
Let q = 6 - 9. Let v = 10.78 - 9.78. Let t = -5/8 - -19/56. What is the nearest to q in -2/13, t, v?
t
Let d be 1/7 + (306/(-7))/(-9). Let r be (-6)/27 + 100/(-36). What is the nearest to -2/3 in r, d, -4/15?
-4/15
Let n = -20525 - -20637. What is the nearest to n in -0.4, 5, -0.5, -8?
5
Let g = 8.9 + -716.9. Let k = 716 + g. What is the nearest to -1 in -5, 2/11, -1/8, k?
-1/8
Let y = -42.14 - -43.14. What is the nearest to -3 in 0.2, 0, 2, y?
0
Let u = -1.968 + -3.032. What is the nearest to 3 in 5, 1/2, u, 6/13?
5
Let g = 5 + -1. Let j = 1004 - 145579/145. Let h = j - 59/145. What is the closest to h in g, 7, -0.5?
-0.5
Let g = -19081 + 95407/5. What is the closest to g in -3, -5, -42?
-3
Let s = -346 + 369.8. Let r = s - 23.8. What is the closest to 5 in r, -0.5, -9, -5?
r
Let t(d) = d**3 + 29*d**2 - 385*d - 58. Let v be t(10). Let z = -2.2 + 2. What is the nearest to 1/4 in v, -4, z?
z
Let p = -10 - -12.4. Let z = 0.981 + -0.381. Let x = p + z. What is the nearest to 0 in x, 2/7, -28?
2/7
Suppose a + q - 12 = 0, -2*q + 22 - 63 = -3*a. Let r be 3 + 2/a - (1 + 2). Let t be (2/(-5))/((-2)/(-2)). What is the nearest to -0.1 in t, -2/13, r?
-2/13
Let d = 10 + -9.775. Let v = -5.225 + d. What is the closest to 2/65 in v, -1, 4/9?
4/9
Let t(s) = 45*s - 409. Let p be t(9). Let l = -0.5 + 0.9. Let y = l + -0.2. Which is the nearest to 2? (a) p (b) 1 (c) y
b
Let n = 18.7 + -31.7. Suppose 6*k - 7*k + 47 = 0. Let f = -233/5 + k. Which is the closest to f? (a) -3/2 (b) n (c) 1/6
c
Let f be (-32)/6*12/8. Let m be f/(-2) + -4 + (-12)/(-8). Let k = -3 + 2.9. Which is the nearest to k? (a) 0.2 (b) -5 (c) m
a
Suppose 5*k + 145*m = 140*m + 35, -5*k - 4*m = -29. What is the nearest to k in -16/5, -3, 1/2?
1/2
Let l = -20 - -48. Let v = 24 - l. Which is the closest to -1.1? (a) 3 (b) -0.4 (c) v
b
Let l(o) = -3*o + 24. Let g be l(7). Suppose j + 5*x = 19, -3*j + g*x - 3 = -2*x. What is the closest to -0.1 in j, 1, -1?
-1
Let j = -322 - -322.2. Let g(u) = u**3 + 8*u**2 + 6*u - 6. Let z be g(-7). Let y be (z/2)/((-45)/(-10) + -5). Which is the nearest to y? (a) -2/3 (b) j (c) 5
a
Let d = 1426.7 + -1724. Let v = d + 328. Let x = -31 + v. Which is the nearest to -2? (a) x (b) -0.2 (c) 2
a
Let f = -0.08902 + -8.91098. What is the closest to f in -5/7, 2/17, 2?
-5/7
Let q = 187275/49 + -3822. Which is the nearest to 2? (a) 4 (b) q (c) 1/2
c
Let p = -1336/5 - -268. Suppose -9 = -o - 4*h - 5, 0 = h - 2. What is the nearest to 1/3 in o, -3, p?
p
Let n(t) = 6*t - 94. Let i be n(16). Let w be 94/(-235)*(-11)/i. Which is the nearest to 1/4? (a) 0.1 (b) w (c) 0 (d) -1
a
Let m = 1098 + -1098. Let t = -67/3 + 65/3. Let r = -11 - -7. Which is the closest to 8? (a) m (b) t (c) r
a
Let v = -382.2 + 324. Let s = -58 - v. Let t = -5.7 - -6. What is the nearest to -3 in -2, s, t?
-2
Let x = -152 + 763/5. Let g = 0.4 - 0.2. Let f be (90/(-270) - 5/(-18)) + 15/27. Which is the closest to f? (a) 6 (b) g (c) x
c
Let k = 1714 - 1714. Let l = 29 - 12. Which is the closest to k? (a) l (b) -1 (c) 0.3
c
Let n = 18757 - 18750.6. What is the nearest to -1/2 in -0.01, n, 0.2, 0.4?
-0.01
Suppose -822 = 117*w + 20*w. What is the closest to 0 in -16, w, 0?
0
Let z = 13540.36 + -13542. Which is the closest to 0.6? (a) z (b) 1 (c) -4
b
Let k be 4 + 345 + 4 + (-15)/5. Let z = 2451/7 - k. What is the nearest to z in 0, -1/5, 1/8?
1/8
Let i = -476 + 1903/4. Let y = -251.12 + 251. Which is the closest to y? (a) -1/2 (b) -2 (c) i (d) -0.3
c
Let t be 2905/2490 + 178/(-132). Which is the closest to -0.1? (a) t (b) 1/5 (c) -5
a
Let x = -2106.5 - -2107. Which is the closest to -2? (a) 2528 (b) x (c) -0.4
c
Let t(l) = 3*l - 48. Let z be t(13). Let g be (9/(-15))/(z/30). Which is the closest to g? (a) 3 (b) 5 (c) 7
a
Let l = -317 + 316.7. Let p = 7/52 + 21/52. Let y = p + -61/65. Which is the closest to -0.2? (a) y (b) 5 (c) l
c
Let i be ((-4)/(-5))/((77/35)/(-11)). Let y = 1066 - 1064. Which is the nearest to y? (a) 3/8 (b) 5 (c) i (d) -1/26
a
Let g = 3.207 - 2.707. Which is the nearest to 2/3? (a) g (b) -2 (c) 0.1
a
Let l = 17130.6 + -17131. Which is the closest to -0.2? (a) l (b) -21 (c) -2
a
Let f = 5.4 - 7.4. What is the closest to 6/13 in -0.3, f, 0.5?
0.5
Let u = 2369/45 + -472/9. What is the closest to -0.2 in -98/17, u, 0?
0
Let u = -82.78 - -46.78. Which is the closest to u? (a) 0.02 (b) -4 (c) -0.3 (d) -0.2
b
Let p = 177 - 181. What is the nearest to 4/3 in 7.9, 3, p?
3
Let w = 0.7 - 0.6. Let u = w + 0.4. Let h = u + -0.1. Which is the nearest to -0.1? (a) -1 (b) -3 (c) h
c
Let z be -2 + 19 + -7 + -5. Which is the closest to 1/9? (a) -3 (b) -10 (c) 4 (d) z
a
Let j = -294 - -4412/15. Let u = -1424 - -2849/2. What is the closest to u in j, 1/35, 0.3?
0.3
Let t = -20925 - -20929. What is the closest to 0 in -8.4, -3, t?
-3
Let x = -20228.5 + 20228. Let u = 0.7 - 1. What is the nearest to 0 in x, u, -4/3?
u
Let o = 1111.8 + -1112.2. Which is the nearest to -6/43? (a) -0.3 (b) -4 (c) o (d) 4
a
Suppose 122*w - 46*w = -45*w + 242. Which is the nearest to -0.1? (a) -1/2 (b) w (c) 0
c
Let j = -566 + 565. Which is the nearest to j? (a) -1/2 (b) 0.1 (c) -228 (d) -2/19
a
Let b = -2 + -2. Let l = -21837 - -21840. What is the closest to 0 in b, l, 10.3?
l
Let t = -3.12 - -0.02. Let h = 3 + t. Let g = h + 0.2. What is the closest to g in -1/2, -0.2, 2?
-0.2
Let s = 99342 - 99344. Let k = -348/5 + 70. Which is the closest to s? (a) -39 (b) k (c) 2
b
Let n be (244/183)/(0 + 2). Which is the closest to 0.2? (a) 0.2 (b) -4 (c) n
a
Let s = 165.01 - -1.99. Let x = 166.94 - s. Suppose 4*l + z = 4*z - 11, 0 = 2*l - 4*z + 18. Which
|
{
"pile_set_name": "DM Mathematics"
}
|
5, 17, 6350
Factor 2*h**3 + 15994422*h**2 + 159944070*h + 399860050.
2*(h + 5)**2*(h + 7997201)
Suppose -x**3/2 - 721*x**2/4 - 6005*x/4 - 1848 = 0. Calculate x.
-352, -7, -3/2
Find t, given that 3*t**5 - 229995*t**4 + 13332642*t**3 - 231667506*t**2 + 607967451*t + 10641861405 = 0.
-5, 21, 76607
Solve -2*o**2/11 - 40130*o/11 - 5539428/11 = 0 for o.
-19926, -139
What is d in 2*d**2 + 17912*d - 1774584 = 0?
-9054, 98
What is j in 4*j**3 - 21716*j**2 - 392644*j + 2505620 = 0?
-23, 5, 5447
Determine m, given that 31*m**3/6 + 11119*m**2/2 + 2556065*m/6 + 27473/2 = 0.
-993, -83, -1/31
Find u such that u**2/3 + 10400*u/3 + 27040000/3 = 0.
-5200
What is g in -5*g**3 - 33095*g**2 - 45258495*g - 45225405 = 0?
-4689, -1929, -1
Factor q**3 - 14425161*q**2 + 52021324681560*q - 52021310256400.
(q - 7212580)**2*(q - 1)
Suppose 1598700*d**3 - 31906110*d**2 - 5428317*d/4 - 14415 = 0. Calculate d.
-31/1460, 20
Solve 139*v**4/7 + 8513891*v**3/7 - 102059178*v**2/7 + 305089812*v/7 + 4410936/7 = 0.
-61263, -2/139, 6
Determine h so that -6*h**5/11 - 1368*h**4/11 - 54072*h**3/11 - 713280*h**2/11 - 2620800*h/11 = 0.
-182, -20, -6, 0
Let 4*a**2/9 - 7610888*a/9 + 3620351009284/9 = 0. What is a?
951361
Let 3*x**3 - 212742*x**2 + 3769255296*x + 83026615584 = 0. Calculate x.
-22, 35468
Factor -2*o**2/11 - 2366*o/11 - 431100/11.
-2*(o + 225)*(o + 958)/11
Solve -5*l**4 + 53790*l**3 + 20922255*l**2 + 2030413160*l + 5904391920 = 0.
-188, -3, 11137
Solve -4*i**3 - 9808*i**2 - 9780*i + 58824 = 0 for i.
-2451, -3, 2
Let -2*n**5/11 - 518*n**4/11 - 22446*n**3/11 - 5702*n**2 + 2048*n/11 + 83640/11 = 0. Calculate n.
-205, -51, -2, 1
Factor -q**2/7 - 255*q - 3542.
-(q + 14)*(q + 1771)/7
Determine k, given that -5*k**4 + 210*k**3 + 90855*k**2 - 91060*k = 0.
-116, 0, 1, 157
Let s**2/2 - 287561*s/2 + 431337 = 0. What is s?
3, 287558
Find d, given that 5*d**4/6 + 6103335*d**3/2 + 2793797781645*d**2 - 8381475740070*d - 50288524860060 = 0.
-1831002, -3, 6
Factor -2*d**3 - 2262512*d**2 - 639870068768*d.
-2*d*(d + 565628)**2
Determine a so that 3*a**2 + 359305404*a + 10758364445300268 = 0.
-59884234
Determine i so that -i**4 - 16487*i**3 + 164970*i**2 = 0.
-16497, 0, 10
Determine s so that -s**3/6 - 97597*s**2/3 + 390391*s/6 - 97598/3 = 0.
-195196, 1
Let -5*j**5 + 56880*j**4 - 163907245*j**3 + 12138968870*j**2 - 23786443500*j + 11811325000 = 0. What is j?
1, 74, 5650
Suppose -d**5/2 - 195*d**4/2 + 1543*d**3 + 16896*d**2 + 36784*d = 0. What is d?
-209, -4, 0, 22
Factor 4*l**2/3 + 33508*l + 42985200.
4*(l + 1356)*(l + 23775)/3
Factor -m**3 - 292970492*m**2 - 21457927588651005*m - 42915854005420050.
-(m + 2)*(m + 146485245)**2
Solve 3*l**3 - 42558*l**2 + 162180096*l - 78236037984 = 0.
562, 6812
Factor d**3 + 63424*d**2 + 317095*d.
d*(d + 5)*(d + 63419)
Factor -2*v**2/9 + 441880*v/9 - 1767488/9.
-2*(v - 220936)*(v - 4)/9
Factor -r**2/2 + 21153*r/2 - 1376941.
-(r - 21022)*(r - 131)/2
Determine k so that -3*k**3/2 + 200390463*k**2/8 - 250488063*k/8 + 12524403/2 = 0.
1/4, 1, 16699204
Factor j**2/2 + 27194*j - 54389/2.
(j - 1)*(j + 54389)/2
Factor -2*a**2/7 + 1367046*a/7 - 1562320.
-2*(a - 683515)*(a - 8)/7
Let 2*o**3 - 9248*o**2 - 363794*o + 373040 = 0. Calculate o.
-40, 1, 4663
Determine t so that 1369*t**5/4 + 377067*t**4/4 + 27254079*t**3/4 + 178152673*t**2/4 + 93306174*t + 55487601 = 0.
-4966/37, -3, -1
Factor -p**2 + 5377180*p + 5377181.
-(p - 5377181)*(p + 1)
What is h in 3*h**3 - 1554*h**2 + 191811*h + 1635480 = 0?
-8, 231, 295
Factor -v**2/5 + 96898*v + 17442936/5.
-(v - 484526)*(v + 36)/5
Find a such that a**3 + 3522*a**2 - 748323*a = 0.
-3723, 0, 201
Factor o**2 - 629128*o - 6920529.
(o - 629139)*(o + 11)
Solve 5*x**4 + 3265*x**3 + 235295*x**2 + 676635*x = 0 for x.
-571, -79, -3, 0
Suppose -561658*l**2/7 + 134236260*l/7 + 478/7 = 0. Calculate l.
-1/280829, 239
Factor 602510069780*y**2 + 600541820*y + 149645.
5*(347134*y + 173)**2
Factor -2*l**3/7 - 4041854*l**2/7 - 2042123491902*l/7 - 51050561170050/7.
-2*(l + 25)*(l + 1010451)**2/7
Factor -3*i**2/5 - 3149709*i/5 - 3149706/5.
-3*(i + 1)*(i + 1049902)/5
Factor -2*h**3/13 + 2814*h**2/13 - 36828*h.
-2*h*(h - 1209)*(h - 198)/13
Suppose -2*n**5/3 - 128*n**4/3 - 2872*n**3/3 - 26368*n**2/3 - 26624*n = 0. What is n?
-26, -16, -6, 0
Suppose -5*b**4 - 298280*b**3 - 13116825*b**2 - 130246930*b + 315347480 = 0. What is b?
-59612, -23, 2
Factor 172628*s**3 - 2071520*s**2 + 6214416*s + 576.
4*(s - 6)**2*(43157*s + 4)
Let -5*a**4 + 11099220*a**3 = 0. What is a?
0, 2219844
Find n such that 153*n**3/7 - 778024*n**2/7 + 874467*n/7 - 96596/7 = 0.
19/153, 1, 5084
Factor w**2 - 2245749*w.
w*(w - 2245749)
Factor 2*l**2/7 + 466832*l/7 - 192205794/7.
2*(l - 411)*(l + 233827)/7
Determine w so that 2*w**3/7 - 734*w**2/7 - 13056*w/7 = 0.
-17, 0, 384
Let 3*u**5 + 2634*u**4 + 33840*u**3 + 90786*u**2 - 33843*u - 93420 = 0. What is u?
-865, -9, -4, -1, 1
Suppose -j**3/3 - 570*j**2 - 23136*j + 360288 = 0. What is j?
-1668, -54, 12
Suppose 5*a**3 - 21020*a**2 + 748980*a + 5251680 = 0. What is a?
-6, 42, 4168
Suppose 7*i**4/4 + 158639*i**3/4 - 90659*i**2 + 22665*i = 0. Calculate i.
-22665, 0, 2/7, 2
Let -4*q**3 + 42827168*q**2 + 256963116*q + 385444728 = 0. What is q?
-3, 10706798
Determine k so that -18152*k**2 + 36334*k - 60 = 0.
15/9076, 2
Find f such that f**5/2 + 387*f**4/2 + 51865*f**3/2 + 2639385*f**2/2 + 15492857*f - 16838676 = 0.
-127, -116, -18, 1
Solve -4*m**4 - 819772*m**3 - 41997943944*m**2 + 378065936512*m + 924117090688 = 0.
-102476, -2, 11
Let -y**4 + 16810*y**3 - 704213*y**2 - 721024*y = 0. Calculate y.
-1, 0, 43, 16768
Factor -n**3 - 45252*n**2 + 10826383*n - 10781130.
-(n - 237)*(n - 1)*(n + 45490)
Solve 841*k**5 - 376304*k**4 + 40846361*k**3 + 278480054*k**2 + 615011100*k + 448920648 = 0 for k.
-66/29, -2, 227
Factor -4*v**2 + 1572344*v + 3144704.
-4*(v - 393088)*(v + 2)
Factor -r**2/3 + 1813996*r/3.
-r*(r - 1813996)/3
Suppose 5*q**5/2 + 1455*q**4 - 75775*q**3/2 + 30600*q**2 + 151510*q - 145680 = 0. What is q?
-607, -2, 1, 2, 24
Determine c so that 3*c**3 + 11205711*c**2 - 22411431*c + 11205717 = 0.
-3735239, 1
Suppose -2*v**3/11 - 41486*v**2/11 - 204959440*v/11 - 296598450400/11 = 0. What is v?
-14303, -3220
Suppose -2*w**2/11 + 8358208*w/11 - 8358206/11 = 0. Calculate w.
1, 4179103
Determine l so that -5*l**4 + 10670*l**3 + 281075*l**2 - 594140*l + 302400 = 0.
-28, 1, 2160
Determine w so that -2*w**5/5 + 2206*w**4/5 - 796104*w**3/5 + 92896696*w**2/5 + 481389856*w/5 + 387694848/5 = 0.
-4, -1, 326, 456
Let -6075*v**5 + 386505*v**4 + 150132*v**3 - 625904*v**2/3 + 32448*v - 4096/3 = 0. What is v?
-1, 4/45, 4/9, 64
Suppose -2*q**5/7 + 214736*q**4/7 - 5767163460*q**3/7 + 24689702752*q**2 - 23865852934*q = 0. What is q?
0, 1, 29, 53669
Let -45*m**5 - 15185*m**4 + 279235*m**3 - 438775*m**2 - 2647750*m - 1065000 = 0. What is m?
-355, -2, -4/9, 5, 15
Let -2*n**5 - 138*n**4 - 904*n**3 - 2272*n**2 - 2496*n - 992 = 0. What is n?
-62, -2, -1
Let 3*x**4 - 42477*x**3 - 84993*x**2 + 382293*x + 764694 = 0. What is x?
-3, -2, 3, 14161
Solve f**4/5 + 389*f**3/5 - 492228*f**2/5 + 391572*f + 5887728/5 = 0 for f.
-924, -2, 6, 531
Factor 3*r**4 + 520611*r**3 + 22588139805*r**2 + 158091469725*r.
3*r*(r + 7)*(r + 86765)**2
Factor -2*b**4/11 + 1058316*b**3/11.
-2*b**3*(b - 529158)/11
Solve -4*n**5/7 - 8716*n**4/7 - 6010068*n**3/7 - 1269108324*n**2/7 - 3753469368*n/7 = 0.
-891, -394, -3, 0
Factor -5*v**2 - 103573035*v + 207146090.
-5*(v - 2)*(v + 20714609)
Determine f so that 4*f**5 - 816*f**4 + 17432*f**3 - 25344*f**2 - 361116*f - 317520 = 0.
-3, -1, 7, 21, 180
Factor 2194400*p**3 + 4388803*p**2 + 2194406*p + 3.
(p + 1)**2*(2194400*p + 3)
Determine d so that -d**3/5 + 156768*d**2/5 - 6143424336*d/5 - 49157428352/5 = 0.
-8, 78388
Suppose 4*f**5/7 + 11468*f**4/7 - 23208*f**3/7 - 735104*f**2/7 - 1836160*f/7 = 0. Calculate f.
-2869, -4, 0, 10
Let 4*b**5 - 31296*b**4 + 6709492*b**3 - 361278600*b**2 - 381563600*b + 736164000 = 0. Calculate b.
-2, 1, 110, 7605
Factor 4*b**2/21 + 74126*b/21 - 61780/7.
2*(b + 18534)*(2*b - 5)/21
Let 2*p**3/23 + 54654*p**2/23 + 3598452*p/23 = 0. Calculate p.
-27261, -66, 0
Suppose -r**2/4 - 4053*r/2 - 14731605/4 = 0. Calculate r.
-5355, -2751
What is f in 15*f**4 - 61458*f**3 + 62741259*f**2 + 432335880*f - 2918017872 = 0?
-11, 21/5, 2052
Factor 4*o*
|
{
"pile_set_name": "DM Mathematics"
}
|
0312
What is -3453a (base 11) in base 2?
-1100001011100111
Convert -bdb (base 15) to base 9.
-3608
What is -112122 (base 3) in base 2?
-110001011
What is 87 (base 9) in base 10?
79
Convert 152d6 (base 14) to base 10.
52716
What is -55213 (base 8) in base 11?
-16462
What is 3b34 (base 12) in base 16?
1a98
-511 (base 9) to base 7
-1132
What is -2204 (base 7) in base 2?
-1100010100
Convert 435 (base 16) to base 12.
759
Convert -360 (base 16) to base 12.
-600
-a4c (base 13) to base 7
-5054
Convert 11252 (base 6) to base 11.
123a
-436 (base 14) to base 5
-11312
What is 21203 (base 4) in base 11?
506
Convert -3304 (base 10) to base 8.
-6350
-4886 (base 10) to base 7
-20150
What is -12311 (base 11) in base 2?
-100010100001110
-313154 (base 7) to base 5
-3211224
Convert 949 (base 11) to base 12.
7b2
What is -10001101010111 (base 2) in base 16?
-2357
Convert 110101100001 (base 2) to base 8.
6541
Convert -45346 (base 7) to base 6.
-125124
Convert -28814 (base 10) to base 6.
-341222
Convert -2571 (base 13) to base 7.
-21354
Convert -2111211220 (base 3) to base 5.
-3040321
What is -2046 (base 7) in base 12?
-500
What is 12055 (base 7) in base 9?
4254
11030 (base 6) to base 11
1171
What is -134645 (base 8) in base 4?
-23212211
What is 23a (base 11) in base 13?
18c
Convert -10022222 (base 3) to base 13.
-114b
Convert -453 (base 9) to base 7.
-1041
10153 (base 7) to base 13
1195
5c (base 15) to base 12
73
10111011100 (base 2) to base 10
1500
-113231 (base 4) to base 7
-4265
10320 (base 6) to base 11
1078
What is 6354 (base 7) in base 9?
3063
3571 (base 9) to base 14
d7a
Convert -8049 (base 12) to base 10.
-13881
Convert -3625 (base 14) to base 10.
-9441
What is 1549 (base 12) in base 3?
10102210
What is 1250 (base 16) in base 15?
15c8
Convert -1694 (base 13) to base 7.
-12500
What is -36e4 (base 15) in base 3?
-121000221
-2404 (base 7) to base 3
-1012211
What is 25014 (base 6) in base 2?
111001100010
What is 1620 (base 10) in base 11?
1243
What is 1236 (base 7) in base 16?
1d4
-10110100100101 (base 2) to base 5
-332212
-15a65 (base 13) to base 12
-1bab3
What is -20c (base 14) in base 11?
-338
What is -4373 (base 9) in base 6?
-22533
What is 301 (base 13) in base 2?
111111100
What is -420210 (base 5) in base 4?
-3113231
101110010101001 (base 2) to base 16
5ca9
Convert 14025 (base 11) to base 6.
232320
Convert 6000 (base 8) to base 16.
c00
Convert 323 (base 12) to base 9.
560
Convert 316 (base 12) to base 10.
450
What is e00 (base 16) in base 15?
10de
Convert -57647 (base 8) to base 4.
-11332213
What is -167 (base 10) in base 16?
-a7
What is -112121 (base 3) in base 5?
-3034
Convert 662 (base 9) to base 8.
1036
What is 2024 (base 5) in base 13?
174
Convert -4a4 (base 12) to base 11.
-587
Convert -242435 (base 6) to base 5.
-1140320
Convert 303223 (base 4) to base 11.
2537
-442331 (base 5) to base 15
-482b
What is 726 (base 9) in base 4?
21033
What is -1686 (base 10) in base 15?
-776
6660 (base 10) to base 4
1220010
Convert 9044 (base 12) to base 15.
4954
-10121200 (base 3) to base 5
-41022
What is -423 (base 13) in base 10?
-705
Convert 176a (base 11) to base 15.
a04
What is -14341 (base 5) in base 16?
-4c5
What is -323242 (base 5) in base 7?
-44165
What is -ae77 (base 16) in base 15?
-d378
143a (base 13) to base 5
43142
Convert 15660 (base 9) to base 11.
808a
What is -1022 (base 6) in base 16?
-e6
Convert 306 (base 9) to base 5.
1444
-309 (base 11) to base 14
-1c8
409b (base 16) to base 9
24616
-aa (base 16) to base 7
-332
What is 542 (base 11) in base 6?
3003
What is 704 (base 14) in base 16?
560
Convert -21116 (base 9) to base 10.
-13947
Convert -34cc (base 15) to base 12.
-65a9
1031312 (base 4) to base 7
20345
141313 (base 7) to base 13
c331
Convert -30 (base 5) to base 4.
-33
What is 34e (base 15) in base 2?
1011101101
What is 20021221 (base 3) in base 6?
33124
What is 1013 (base 7) in base 10?
353
3f8f (base 16) to base 11
11252
Convert -11111001 (base 2) to base 9.
-306
11113231 (base 4) to base 2
101010111101101
What is -7221 (base 14) in base 16?
-4cad
What is -113 (base 5) in base 9?
-36
What is -80d (base 14) in base 5?
-22311
Convert 2a1 (base 14) to base 11.
445
-33 (base 11) to base 6
-100
What is -3de (base 16) in base 4?
-33132
Convert -10145 (base 6) to base 15.
-60b
What is 14686 (base 9) in base 3?
111202220
1102310 (base 5) to base 16
4a88
What is -10130220 (base 4) in base 11?
-12760
-1224 (base 6) to base 8
-460
What is ed (base 16) in base 9?
283
Convert -2271 (base 16) to base 14.
-32db
What is -1621 (base 7) in base 11?
-543
What is -26881 (base 10) in base 8?
-64401
What is -1461 (base 9) in base 16?
-454
What is -42045 (base 6) in base 15?
-1a15
What is 1a956 (base 12) in base 11?
27649
Convert -7453 (base 14) to base 6.
-232521
-5016 (base 8) to base 15
-b69
-796 (base 11) to base 5
-12302
What is -15543 (base 6) in base 2?
-101000010111
Convert 85c (base 15) to base 4.
131133
-389 (base 10) to base 5
-3024
620 (base 7) to base 11
260
What is 34315 (base 10) in base 13?
12808
1d0a (base 14) to base 7
21313
What is 211a (base 12) in base 11?
27a3
What is 5386 (base 11) in base 14?
2840
What is -3634 (base 13) in base 9?
-11437
28 (base 15) to base 9
42
Convert 11011110111 (base 2) to base 11.
1381
What is 10111011111000 (base 2) in base 16?
2ef8
What is 2c78 (base 14) in base 8?
17412
Convert -1000000000 (base 2) to base 8.
-1000
145402 (base 8) to base 9
78254
What is 1661 (base 10) in base 8?
3175
Convert -112 (base 16) to base 4.
-10102
Convert -12512 (base 7) to base 8.
-6415
Convert -101010111011010 (base 2) to base 8.
-52732
22bc (base 16) to base 12
5190
1112011221 (base 3) to base 6
350554
What is 110110000000 (base 2) in base 8?
6600
-60b (base 12) to base 9
-1172
What is 456 (base 11) in base 2?
1000100001
What is 12212002 (base 3) in base 5?
114033
1000002121 (base 3) to base 13
8cb6
What is -30c (base 16) in base 4?
-30030
5c6 (base 16) to base 14
778
-10002101 (base 3) to base 9
-3071
Convert 146 (base 11) to base 14.
c3
-42231 (base 7) to base 12
-6036
What is -2c8 (base 15) in base 13?
-3a1
What is -78b (base 12) in base 5?
-13430
What is 2128 (base 14) in base 12?
3388
-112211 (base 8) to base 5
-2204100
What is -1001010000 (base 2) in base 14?
-304
-13135 (base 6) to base 16
-7d3
52010 (base 6) to base 2
1101100000110
748a (base 12) to base 10
12778
-454 (base 14) to base 8
-1532
Convert 27854 (base 12) to base 7.
315502
Convert 110121 (base 3) to base 7.
664
What is -22 (base 7) in base 5?
-31
What is -664 (base 14) in base 8?
-2360
What is -5802 (base 13) in base 14?
-46d5
1090a (base 11) to base 6
200512
Convert 233102 (base 4) to base 12.
1902
Convert -3231 (base 7) to base 11.
-955
Convert 15516 (base 7) to base 12.
2646
Convert 53264 (base 9) to base 15.
a677
What is 192 (base 11) in base 9?
266
What is 3626 (base 7) in base 13?
7c4
Convert 1012120 (base 3) to base 15.
3d9
-3960 (base 11) to base 4
-1100130
Convert 201a (base 12) to base 7.
13066
What is 10085 (base 9) in base 7?
25232
Convert -564 (base 9) to base 4.
-13033
Convert 534 (base 11) to base 7.
1605
1003233 (base 4) to base 16
10ef
Convert -22d0 (base 16) to base 12.
-51a8
Convert -4ca (base 13) to base 8.
-1512
What is 3a5 (base 12) in base 13?
33b
42232 (base 5) to base 15
c7c
101b6 (base 13) to base 7
150124
Convert 1130120 (base 4) to base 11.
4495
2ce8 (base 16) to base 7
45342
Convert 234111 (base 5) to base 16.
21d0
What is -54330 (base 7) in base 9?
-20520
What is 110012 (base 4) in base 8?
2406
What is -456 (base 9) in base 2?
-101110111
Convert -54610 (base 7) to base 16.
-356e
What is 61065 (base 7) in base 2?
11100111001100
What is 2141112 (base 5) in base 15?
ae8c
-46634 (base 8) to base 6
-231552
Convert 182 (base 14) to base 10.
310
What is 717 (base 16) in base 12?
1073
What is -796 (base 10) in base 14?
-40c
Convert -202b (base 14) to base 7.
-22054
What is 279 (base 14) in base 16?
1f3
-223324 (base 6) to base 13
-87c1
What is -6238 (base 11) in base 12?
-4951
What is -695 (base 12) in base 16?
-3d1
-1101011010 (base 2) to base 16
-35a
What is -10652 (base 7) in base 13?
-1322
What is -3546 (base 9) in base 8?
-5112
Convert 1100 (base 3) to base 6.
100
What is -3fe8 (base 16) in base 3?
-211102221
Convert -10111100 (base 2) t
|
{
"pile_set_name": "DM Mathematics"
}
|
9 = 6*k. Suppose -3*x + 5*b = 2*b, 0 = 3*x + b + 16. Put k, 4, x in increasing order.
x, k, 4
Suppose -5 = -4*l - l. Let f = 7 + -11. Put 2, l, f in decreasing order.
2, l, f
Let j be (-2 - (-20)/5)/((-2)/5). Sort -4, 2, -1, j in descending order.
2, -1, -4, j
Let f = 12.5 + -13. Sort f, -0.2, 17 in descending order.
17, -0.2, f
Let i = -318 + 6680/21. Sort -3, i, -7 in ascending order.
-7, -3, i
Let x be ((-10)/6)/(1/3). Let s = x - -4. Put s, -2, 0 in decreasing order.
0, s, -2
Let s be ((-6)/8)/(9 + -6). Put s, 4, 2 in descending order.
4, 2, s
Let m be ((2 + -1)*-1)/1. Suppose -7 = -3*s - 19. Sort -3, m, s.
s, -3, m
Let r(f) = -f**3 - 7*f**2 + f + 4. Let d be -6 + 1 + (1 - 3). Let l be r(d). Put -1, l, -5 in ascending order.
-5, l, -1
Let f(o) = o - 2. Let s be f(1). Let m(t) = -t - 2. Let d be m(-13). Put s, 4, d in increasing order.
s, 4, d
Let x = -4 + 8. Let z(q) = q**3 - 4*q**2 + q - 2. Let v be z(x). Sort v, 4, -1 in descending order.
4, v, -1
Let c be (-10)/(-25) - 13/(-5). Let v be 0/1 - (-2 - c). Suppose 0*k + 2*k = 4*r + 14, v = 5*k. Put 5, r, -4 in increasing order.
-4, r, 5
Let j = -0.07 + 0.57. Sort -4, j, -0.3 in increasing order.
-4, -0.3, j
Suppose 2*s = n - 15, -4*s - n + 6*n - 45 = 0. Let y = 1.3 - 0.3. Sort s, 3, y in ascending order.
s, y, 3
Suppose 3*q + 2 = v, 4*v + 2 = 5*v. Let y = q - -5. Sort 2, y, 3.
2, 3, y
Let j be 2 + -1 + (-4)/(-4). Suppose 2*t + j = 8. Put 7, t, 2 in descending order.
7, t, 2
Let p = 343 - 5147/15. Sort -9, p, -2 in ascending order.
-9, -2, p
Let n = -2.98 + 0.98. Sort 4, n, -0.11.
n, -0.11, 4
Let q = -28 - -16. Let k = 14 + q. Sort -4, 4, k in decreasing order.
4, k, -4
Let r = -6 + 6. Suppose r = -3*x - 9 + 3. Suppose -3*n + 15 = -3*s, 2*n = 4*s + 7*n + 11. Sort s, 1, x in ascending order.
s, x, 1
Suppose 0 = m + 4*u + 11, -m - 3*u = -4*m - 3. Suppose -2*b - 4*b = 0. Suppose -c + 3*c = b. Sort c, m, -2 in descending order.
c, -2, m
Let d = -9.1 - -9. Sort -0.02, -1, d.
-1, d, -0.02
Let k be 2/6 + (-10)/3. Let h = 148 + -589/4. Sort h, 1/4, k in increasing order.
k, 1/4, h
Suppose 0 = 5*y - 4*z - 40, 0 = -3*y + z + 10 + 14. Let l be (4/(-72))/(2/y). Let o = 0.04 - 5.04. Put o, l, 3/4 in decreasing order.
3/4, l, o
Let p = -65/22 + 5/11. Put 2/9, 5, p in descending order.
5, 2/9, p
Let p(u) = u + 13. Let r be p(-5). Suppose 3*g - 5*a - 45 + r = 0, -2*g + 4*a = -28. Sort -2, -3, g in decreasing order.
g, -2, -3
Let c = 19 + -21. Let b be (c + 2)*3/6. Put 4, b, -3 in ascending order.
-3, b, 4
Let m = -7 - -10. Suppose -m*h = -g - 60, -h + 5*g = -3*h + 40. Let a be h/(-75) - 4/(-10). Sort -0.3, 3, a in descending order.
3, a, -0.3
Let r = -186/7 - -26. Let f = 2/13 + -36/65. Put f, -5, r in descending order.
f, r, -5
Suppose -x = -6*x - 10. Let m(p) = p - 2. Let r be m(4). Let i = -8 + 13. Sort r, x, i in decreasing order.
i, r, x
Let z(q) = -q**2 + 7*q + 4. Let r be z(7). Sort r, 2, 5 in decreasing order.
5, r, 2
Let a(q) = -q**3 - 6*q**2 + 8*q - 1. Let w be a(-7). Let y be -3*-2*4/w. Sort -4, y, -2 in increasing order.
-4, y, -2
Let s = -0.14 + 0.08. Let j = s + -0.44. Sort 2, j, 4 in decreasing order.
4, 2, j
Let p = 2 + -1. Suppose 4*j + 16 = 4*k + 2*j, 2*k - 3*j - 16 = 0. Suppose 5*x + 4*n + 5 = 0, -k*n - 10 = 3*x - n. Sort p, x, 5 in ascending order.
x, p, 5
Let r = 3317/15 + -221. Put r, 1/6, -2 in increasing order.
-2, r, 1/6
Suppose 5*x + 5*t + 22 = 7, -2*x + 2*t - 10 = 0. Put 5, -5, 0, x in descending order.
5, 0, x, -5
Suppose 85 = -11*s - 6*s. Put -1, 4, s, 15 in decreasing order.
15, 4, -1, s
Let f = -39/140 + -1/140. Sort f, -6, 1/5, -1/5 in descending order.
1/5, -1/5, f, -6
Suppose 5*d = -0*c + 3*c - 20, 0 = -2*c + 5*d + 15. Suppose -k - 2*l + 13 - 4 = 0, 0 = c*k + 4*l - 27. Put -5, k, 2 in ascending order.
-5, 2, k
Let y = 236/41 - -17659/287. Let o = y + -67. Sort 0.5, o, 2 in descending order.
2, 0.5, o
Let d = 0.027 + -0.027. Put d, -6, 0.4, 2/27 in decreasing order.
0.4, 2/27, d, -6
Let d(l) = -14*l**3 - 10*l**3 - 3 + 25*l**3 + 3*l**2. Let o be d(-3). Sort -4, o, 0.
-4, o, 0
Let i = -0.1 + -0.9. Let n = 2 - i. Let p = -4 + n. Sort -4, 4, p in decreasing order.
4, p, -4
Let h be ((-4)/(-10))/(7/1). Sort h, 1/4, -1/3 in decreasing order.
1/4, h, -1/3
Let i(o) = 8*o - 3 - o**2 - o - 4 + 2*o. Let c be i(8). Sort c, 3/5, 5 in decreasing order.
5, c, 3/5
Let r = -18 - -22. Suppose -r*a + 5*w = 7 - 29, 2*w + 1 = -a. Let f = -10 + 5. Sort f, -4, a in increasing order.
f, -4, a
Let u be (-1)/(91/(-28))*(-1)/2. Sort -0.3, -0.4, u.
-0.4, -0.3, u
Let q = 122 - 119. Let l be (-2)/2 - (-9)/12. Sort l, q, -2 in descending order.
q, l, -2
Let a(g) = -3*g**3 - 2*g**2 + 2*g - 1. Let t be a(1). Let w = 24 + -1. Let u = 22.6 - w. Sort 0.4, t, u in ascending order.
t, u, 0.4
Let v = -3 + 3.3. Let m(j) = j**3 - 5*j**2 - 6*j + 4. Let y be m(6). Suppose 0 = -3*g + z + z - 13, g = -y*z + 5. Put -5, g, v in ascending order.
-5, g, v
Let p(r) = -r - 6. Let c be p(-9). Suppose 5*i - 9 = -2*m, 3*m + 8 = c*i - 10. Put -3, i, 1 in increasing order.
-3, 1, i
Let q = 0.078 - -31.922. Let y = -28.2 + q. Let d = y + 1.2. Put -0.4, d, 0 in decreasing order.
d, 0, -0.4
Let t = -5.96 + 5. Let i = -0.04 + t. Let v = 2 - i. Sort 0.4, v, -3/7.
-3/7, 0.4, v
Let s(q) = -q - 4. Let k be s(-9). Let r = -1 + k. Sort r, -5, -2 in decreasing order.
r, -2, -5
Let q(l) = l**3 + 8*l**2 - l - 9. Let d be q(-8). Put -3, -5, d in decreasing order.
d, -3, -5
Suppose 5 = -0*s + s. Let h = -2 + 4. Put h, 0.3, s in increasing order.
0.3, h, s
Let i(j) = -j**3 - 6*j**2 + j + 2. Let o be i(-6). Sort 5, -1, o in decreasing order.
5, -1, o
Suppose 3*p = 3 - 0. Sort -3, -4, p.
-4, -3, p
Let h = 1.59 - 0.09. Let l = 1 - h. Sort -2/7, -1/6, l in increasing order.
l, -2/7, -1/6
Let y = 0.005 - -0.395. Sort -0.5, 3.5, y in increasing order.
-0.5, y, 3.5
Let z = 3832/105 - 182/5. Let r = 37/78 - 4/13. Put z, -2/9, r in descending order.
r, z, -2/9
Let h = 12 + -13. Put -3, h, -2 in descending order.
h, -2, -3
Let k = -44 + 43.51. Let f = -0.01 + k. Let j = -1.97 - 0.03. Put 4, j, f in decreasing order.
4, f, j
Suppose 3*d - x - 12 = 0, 2*d + 2*x = -3*x + 8. Let o = 11 + -13. Suppose 3 = 5*r - 2*r. Put o, d, r in descending order.
d, r, o
Suppose d = -5*l - d - 15, -4*d - 6 = 2*l. Suppose 0 = -4*v + 33 - 13. Let b = v - 10. Sort 3, l, b in decreasing order.
3, l, b
Let i(r) = r**3 - 7*r**2 - 6*r - 12. Let c be i(8). Put c, -7, -3 in ascending order.
-7, -3, c
Let g = 44 - 45. Let m = 4 + -2. Sort m, g, 3 in descending order.
3, m, g
Let i = 1/51 - 6/17. Sort 5, -5, i in descending order.
5, i, -5
Let j = 9.8 + -14.8. Let o = 0.07 - 0.37. Sort j, o, -0.1 in decreasing order.
-0.1, o, j
Let c = 33 - 36. Sort c, 5, 4, -4 in descending order.
5, 4, c, -4
Let q(n) be the first derivative of -n**4/4 + 3*n**3 + 9*n**2/2 + 5*n + 1. Let l be q(10). Put l, -2, 1 in decreasing order.
1, -2, l
Let i be 2 + -11*(-1)/1. Let l = i - 8. Suppose -20 = -5*q - 5*o, -l*q = -10*q + 3*o + 28. Sort q, 0, -5 in decreasing order.
q, 0, -5
Let m = 58 + -22. Let l be (-3)/7 + m/(-14). Put l, 0.2, 0.5 in ascending order.
l, 0.2, 0.5
Let s = 1 + -2. Let j = s + 4. Let a(i) = 4*i - 3. Let x be a(2). Sort -2, x, j in descending order.
x, j, -2
Suppose -4*y = y + 20. Let w(g) = -6*g. Let f be w(-1). Let x = f + -7. Sort x, 3, y in ascending order.
y, x, 3
Let a = -68 - -69. Sort 5, 4, a, -0.4 in decreasing order.
5, 4, a, -0.4
Suppose 5*w - 3*w + 1 = i, -3*w + 26 = 4*i. Let f(r) = -r**3 + 22*r**2 - 22*r + 22. Let u be f(21). Sort -4, i, u in descending order.
i, u, -4
Let s be (20/225)/(4/10). Let q = 0.2 + 2.8. Sort -5, s, q in descending order.
q, s, -5
Let x = 5.75 + -0.75. Put 0.18, -2, x in decreasing order.
x, 0.18, -2
Let j = 0 + -0.1. Let y = 5 - 4. Sort j, -1/4, y in descending order.
y, j, -1/4
Suppose -3*x = -4*x - 2*i - 10, -4*i - 20 = -2*x. Put -5, x, -3 in decreasing order.
x, -3, -5
Let d(g) = g**2 - 2*g - 4. Let m be d(-4). Suppose 0 = -5*s - 0 + m. Put 1, -4, s in ascending order.
-4, 1, s
Suppose 2*c = 5*x - 5 - 4, 3*c + 2*x = 15. Sort c, -3, 1.
-3, 1, c
Let w(h) = -h**3 + 3*h**2 + 7*h - 5. Let n be w(4). Let q be ((-8)/28)/((-1)/n). Put q, -1, -3/2 in decreasing order.
q, -1, -3/2
Let f(l) = l**2 + 11*l + 12. Let v be f(-10). Sort v, 5, 4 in decreas
|
{
"pile_set_name": "DM Mathematics"
}
|
l**4 wrt l?
240*l**3
Find the second derivative of 2 - 1237*y**2 - 38250*y - 2 + 75236*y - 37762*y wrt y.
-2474
Let w(l) be the second derivative of -587*l**5/20 - 2187*l**2/2 - 4001*l. What is the first derivative of w(o) wrt o?
-1761*o**2
Let b(a) be the third derivative of 0*a**4 + 3/20*a**5 + 2*a**2 + 1/120*a**6 + 0*a - 5 + 5*a**3. Find the first derivative of b(i) wrt i.
3*i**2 + 18*i
What is the third derivative of -299*p**3 - 2 - 984*p**2 + 2 - 151*p**3 - 168*p**2 wrt p?
-2700
Let g(m) = m**3 + 13*m**2 + 16*m + 19. Let i be g(-12). Let z = 42 + i. Find the second derivative of z*d + 0*d + 14*d**2 - d**2 wrt d.
26
Let j = -320 - -323. What is the second derivative of -16*a - 30603*a**3 + 39*a + 30694*a**j wrt a?
546*a
Let d(q) = -9*q**4 + 10*q**3 + 65*q**2 - 4411. Let i(r) = -5*r**4 + 6*r**3 + 31*r**2 - 2206. Let f(h) = 3*d(h) - 5*i(h). Differentiate f(o) with respect to o.
-8*o**3 + 80*o
Let k(w) be the first derivative of 0*w**4 + 0*w**3 + 23*w + 7 + 0*w**2 - 34/5*w**5. What is the first derivative of k(f) wrt f?
-136*f**3
Let g(d) = -d**3 + d**2 + 3*d + 2. Let v(p) = -2982*p**3 - 7*p**2 - 29*p + 62. Let u(r) = -7*g(r) - v(r). What is the second derivative of u(s) wrt s?
17934*s
Let h(k) = -3 + 18*k**4 - 31*k**2 + 23*k**4 - 44*k**4. Let m(l) = l**5 + l**4 - l**2 - 1. Let d(g) = -h(g) + 3*m(g). Find the third derivative of d(x) wrt x.
180*x**2 + 144*x
Let a = 12715 - 5121. What is the second derivative of -o + 7594*o**3 - 153 - a*o**3 + 28*o**5 wrt o?
560*o**3
Suppose -j + 2*j - 6 = 0. Suppose 0*h = -3*h + j. What is the third derivative of h*s**2 - 7*s**2 - 19*s**6 - 14*s**2 wrt s?
-2280*s**3
Let n(i) be the third derivative of 789*i**6/40 + 133*i**5/15 - 932*i**2. What is the third derivative of n(d) wrt d?
14202
Suppose 24*a + 3*a - 4*a = 0. What is the first derivative of a + 142 - 227*t**4 + 335*t**4 wrt t?
432*t**3
What is the third derivative of -1657*b**3 + 770*b**3 - 875*b**2 - 158*b**3 - 1393*b**2 - 1338*b**3 wrt b?
-14298
What is the derivative of -2285 + 3206 - 2834 - 2310*v - 887 wrt v?
-2310
Suppose 3*o - 22 = -2*j, 5*o - o - 2*j - 48 = 0. What is the third derivative of -o*l**4 - 2*l**2 - 1 + 12*l**4 - 23*l**4 wrt l?
-504*l
Let r(l) = 5*l - 49. Let i be r(11). What is the first derivative of 19*p**2 + 58*p**2 - 11 + i wrt p?
154*p
Suppose 6 = 3*n - s, -4*n + 3*s + 1 + 2 = 0. Find the second derivative of 0*a**4 - 171*a + 3*a**4 + 3*a**3 + 3*a**n + 305*a wrt a.
36*a**2 + 36*a
What is the third derivative of -466*g**2 + 3087*g**6 - 336*g**2 - 112*g**2 - 401*g**6 - 872*g**2 wrt g?
322320*g**3
Let g(m) be the second derivative of -3*m**4/2 - m**3/2 + 40*m**2 - 77*m. Let q(o) = 2*o. Let w(l) = g(l) + 2*q(l). Differentiate w(p) with respect to p.
-36*p + 1
Suppose -c + 34 = -n + 5*n, -n = -2*c + 41. Let v(h) be the first derivative of 4 - c*h + 37*h**2 - 42*h**2 - 9. What is the first derivative of v(x) wrt x?
-10
Let m(t) be the first derivative of 2042*t**3/3 + 1625*t**2 - 858. Find the second derivative of m(j) wrt j.
4084
Let y(x) = 11*x - 24. Let m be y(3). Let n be m/18 - 22/(-4). Find the third derivative of -12*p**6 + 12*p**n - 18*p**6 + 33*p**2 wrt p.
-2160*p**3
Suppose 35 = -w + 41. Let j be ((-9)/w)/(6/(-16)). What is the third derivative of 134*o**6 - 142*o**6 - j*o**4 + 3*o**2 + 4*o**4 wrt o?
-960*o**3
Let m(d) be the second derivative of 1 + 10*d**2 + 53/10*d**5 + 0*d**4 + 0*d**3 - 34*d. What is the derivative of m(h) wrt h?
318*h**2
Let b be (-2 - -1 - -1) + 5. Suppose 0 = -n - l - 3, -b*l - 25 + 4 = 2*n. What is the second derivative of 14*g + n*g**4 + g**4 + 11*g**4 wrt g?
168*g**2
Let x(s) be the third derivative of -s**7/70 - 4*s**6/15 + 31*s**4/8 + s**3/6 - 771*s**2 - 1. What is the second derivative of x(g) wrt g?
-36*g**2 - 192*g
Let i(p) be the third derivative of -1447*p**6/120 - p**4/24 + 14*p**3/3 - 1326*p**2. Find the second derivative of i(v) wrt v.
-8682*v
Let q = 42 - 42. Suppose -2*j + 8*j - 24 = q. What is the third derivative of 19*l**4 - 19*l**j + 4*l**2 - 3*l**2 + 11*l**5 wrt l?
660*l**2
Let f(l) = -36 - l - 35 + 93 - 3*l**2. Let r be f(0). Differentiate r + 27*g**2 - 8*g + 9*g - g wrt g.
54*g
Let l(b) = -b**3 - b**2 - 15*b. Let u(o) = -2058*o**4 + 13*o**3 + 136*o**2 + 195*o + 25. Let z(v) = -13*l(v) - u(v). What is the third derivative of z(t) wrt t?
49392*t
Find the third derivative of -7*y**2 - 8*y**2 + 18*y**2 - 11*y**2 + 1422*y**3 + 10*y**2 - 24 wrt y.
8532
Suppose -4*v + 5 + 29 = 2*j, -2*j - 5*v + 38 = 0. Let i = j - 4. What is the second derivative of 0*w - 5*w + 129*w**5 - 110*w**i wrt w?
380*w**3
Let n = -349 - -366. Find the third derivative of -27771*c**4 - 3*c - n*c**2 + 2*c**5 + 27771*c**4 + 39*c**3 wrt c.
120*c**2 + 234
Let y = 17 - -13. What is the first derivative of -41*w**4 + 94 - 71*w**4 + y*w**4 - 50 wrt w?
-328*w**3
What is the third derivative of -x**5 - 6*x**5 - 433*x**2 - 9*x**5 + 1334*x**2 wrt x?
-960*x**2
Let j(b) be the first derivative of 1685*b**3/3 - 622*b + 1258. Differentiate j(a) wrt a.
3370*a
Let q(o) = -o**3 + o. Let b(n) = -n**2 + n + 1. Let d be b(2). Let w be q(d). Find the second derivative of -36*a**3 + w - 10*a + 0 + 32*a wrt a.
-216*a
Differentiate -2679*x**2 - 436*x**2 + 21215*x + 52 + 3139 - 21215*x with respect to x.
-6230*x
Let a(u) be the third derivative of -u**7/70 + 391*u**6/120 + u**5/20 - 87*u**4/4 - u**3/6 + 2*u**2 + 86*u + 4. Find the third derivative of a(s) wrt s.
-72*s + 2346
Let v(t) be the third derivative of -3*t**5/10 + t**4/6 - 83*t**3/3 - 172*t**2 + 2*t. What is the derivative of v(p) wrt p?
-36*p + 4
Let r(k) = -28*k + 9. Let v be r(-3). Find the third derivative of -27*d**6 + v*d**2 + 1873*d**3 - 1873*d**3 wrt d.
-3240*d**3
Let m(n) be the first derivative of 1330*n**3/3 - 3310*n - 3852. Differentiate m(g) wrt g.
2660*g
Let p(t) be the first derivative of 173*t**7/840 + 17*t**4/4 + 9*t**3 + 179. Let g(m) be the third derivative of p(m). Differentiate g(n) wrt n.
519*n**2
What is the derivative of 335*h**2 - 353 + 1877*h**3 - 932 + 1419*h**3 - 334*h**2 wrt h?
9888*h**2 + 2*h
What is the second derivative of -676*y**4 + 12*y + 137*y**4 + 1322*y - 93*y wrt y?
-6468*y**2
Let y(j) be the third derivative of -35*j**2 - 2*j + 0 + 0*j**3 + j**5 - 35/4*j**4. What is the second derivative of y(n) wrt n?
120
Find the second derivative of 74*n**2 + 6*n - 10*n**3 - 89 + 176*n**2 - 4*n + 13*n**3 - 56 wrt n.
18*n + 500
Let h(d) be the first derivative of 55*d**3 + 408*d - 1156. Differentiate h(s) wrt s.
330*s
Let y(c) be the second derivative of -3*c**6/10 + 29*c**5/20 + 787*c**4/12 - c**2 + 1026*c. What is the third derivative of y(t) wrt t?
-216*t + 174
Suppose -2*b - 2*b = 2*s + 188, 2*s - 5*b = -161. Let p = -86 - s. What is the derivative of -9174*c - 42 + 37*c**p + 9174*c wrt c?
74*c
Let r(j) = -4*j**3 - 4*j**2 - j + 4. Let d be r(-3). Suppose 130 = 2*h + 4*a, 15*a + 18 = 18*a. What is the derivative of -h + d - 18*s**4 - s**4 wrt s?
-76*s**3
Let h(x) = x + 9. Suppose 4*o = 8, -5*o = -5*l - 2*o - 36. Let r be h(l). Find the second derivative of -7*y**r + 6*y + 3*y**5 - 4*y**3 + 11*y**3 wrt y.
60*y**3
Let t(p) = -2*p**3 - 14*p**2 + 14*p - 11. Let d be t(-8). What is the derivative of -5 + 13*h**3 - 3*h**3 - 4*h**3 + d*h**2 - 7*h**3 wrt h?
-3*h**2 + 10*h
Let j(g) be the first derivative of 2296*g**5/5 + 29*g**3/3 - 2799. What is the third derivative of j(c) wrt c?
55104*c
Let z(c) = -c + 3. Let b be z(0). Suppose 3*y - n - 2 = -0, 0 = -y + b*n - 10. What is the second derivative of 2*m**2 + 9*m - 21*m - y*m**2 - 9*m**4 wrt m?
-108*m**2
Differentiate -1221*n**4 - 6750 + 1869 + 3369 + 3725 + 8360*n**4 wrt n.
28556*n**3
Let y(i) = 3065*i**3 + 11*i**2 - 17*i + 136. Let l(h) = -1531*h**3 - 6*h**2 + 10*h - 69. Let a(u) = 11*l(u) + 6*y(u). Find the second derivative of a(f) wrt f.
9294*f
Let x(y) be the second derivative of -y**7/21 - y**6/15 + 1591*y**5/20 + 307*y**4/12 + y**3/6 + y**2 + 4785*y. What is the third derivative of x(v) wrt v?
-120*v**2 - 48*v + 9546
Suppose 28 = 15*x - 17. Find the second derivative of -5*l - 3*l**2 - l**2 - 48*l**3 + 49*l**x wrt l.
6*l - 8
Let m = -7 + 4. Let q be m/2*44/(-6). What is the third derivative of 10*l**2 - 4*l**2 - 17*l**3 + q*l**2 wrt l?
-102
Let f(h) = 2662*h**3 - 21*h**2 + 10*h + 62. Let y(g) = 1
|
{
"pile_set_name": "DM Mathematics"
}
|
20)
Let m(r) = 30*r - 1260. Let z be m(42). Let k(p) be the third derivative of 16/45*p**3 + z*p + 2/45*p**4 + 13*p**2 + 1/450*p**5 + 0. Factor k(y).
2*(y + 4)**2/15
What is v in -58*v + 15*v**2 - 143 - 170 - 2 + 3*v**3 - 84*v + 55*v = 0?
-7, -3, 5
Let t be ((-5)/3)/(((-315)/6)/(-39 - -48)). Factor 162/7 + t*k**2 - 36/7*k.
2*(k - 9)**2/7
Let b(q) = 6*q**4 - 10*q**3 - 112*q**2 + 670*q + 4366. Let i(d) = d**4 - d**2 + 2*d + 2. Let g(a) = -b(a) + 5*i(a). Factor g(j).
-(j - 11)**2*(j + 6)**2
Let b(v) be the third derivative of 0*v + 0 + 4*v**3 + 3*v**2 + 1/40*v**5 + 1/120*v**6 - 1/4*v**4. Let r(w) be the first derivative of b(w). Factor r(y).
3*(y - 1)*(y + 2)
Factor 137/2 + 23205/8*t**2 + 169/8*t**3 + 891*t.
(t + 137)*(13*t + 2)**2/8
Suppose 3*v - 2*v = -5*s - 23, 3*v + s = 1. Let 25 - 6*j - 34 - 3*j**4 + 0*j**4 + 8*j**2 + 4*j**v + 6*j**3 = 0. What is j?
-1, 1, 3
Let f(s) be the first derivative of -96*s - 33/4*s**4 - 42*s**3 - 96*s**2 - 3/5*s**5 + 126. What is v in f(v) = 0?
-4, -2, -1
Let t = -2888 + 46229/16. Let i(j) be the first derivative of -j - 5 - 2*j**2 - 1/12*j**3 + t*j**4. Factor i(g).
(g - 1)*(3*g + 2)*(7*g + 2)/4
Factor 27*n**5 - 22*n**4 - 55*n**5 + 7*n - 16*n**3 + 120 + 302*n**2 + 76*n**3 + 27*n**5 + 334*n.
-(n - 5)*(n + 1)**3*(n + 24)
Let n(c) be the first derivative of c**7/2520 - 13*c**6/1080 - 18*c**3 - 20. Let q(v) be the third derivative of n(v). Factor q(y).
y**2*(y - 13)/3
Let k be 0/(-2 + (-63)/(-9)). Let g(f) be the second derivative of 1/16*f**4 + k*f**2 + 1/40*f**6 + 0*f**3 + 0 - 3/40*f**5 + 4*f. Factor g(l).
3*l**2*(l - 1)**2/4
Let o(d) = 6*d**3 + 17*d**2 + 4*d - 2. Suppose 52 = -7*r + 122. Let y(h) = 2*h**3 + 8*h**2 + 2*h - 2. Let i(m) = r*y(m) - 4*o(m). What is s in i(s) = 0?
-1, 1, 3
Let n(b) be the first derivative of b**4 + 20*b**3 - 108*b**2 + 615. Find f, given that n(f) = 0.
-18, 0, 3
Let i(j) = -2*j**2 - 104*j - 165. Let p be i(-51). Let l be 69/p + 1 - (-3640)/7350. Determine d so that -l*d + 0 - 2/5*d**3 + 4/5*d**2 = 0.
0, 1
Let 432/5*a**2 - 144 + 27/5*a**5 + 3264/5*a - 147*a**4 - 2268/5*a**3 = 0. What is a?
-2, 2/9, 1, 30
Let y(m) be the second derivative of -3*m**5/20 + 203*m**4/4 - 10403*m**3/2 + 30603*m**2/2 + 2*m - 154. Factor y(l).
-3*(l - 101)**2*(l - 1)
Suppose 0 + 65/6*g**4 - 2/3*g**5 - 171/2*g**2 - 81/2*g - 67/2*g**3 = 0. Calculate g.
-1, -3/4, 0, 9
Suppose k + 4*l = 19, 19*l + 187 = 5*k + 16*l. Let w(z) be the first derivative of 0*z - 1/6*z**3 - k - 1/16*z**4 + 3/8*z**2. Let w(o) = 0. Calculate o.
-3, 0, 1
Let s be (2400/(-1125))/((-20)/25). Factor 10/9 + s*h**2 - 2/9*h**4 - 4/9*h**3 - 28/9*h.
-2*(h - 1)**3*(h + 5)/9
Let w = -502 - -507. Let 24*d**4 - 3*d - 35*d**3 + 8*d**4 + 36*d**w - 11*d**4 + 2*d**3 - 21*d**2 = 0. What is d?
-1, -1/3, -1/4, 0, 1
Suppose -p - 251 = -5*p + 5*z, 0 = 3*p + 3*z - 222. Let h = p - 33. Factor -h*i + 3*i**3 + 2*i**3 - i**3 - 12*i**2 + 7 - 27.
4*(i - 5)*(i + 1)**2
Let f be (26/(-13))/(((-2)/3)/(8/6)). Factor f*n + 0 - 2/5*n**3 + 6/5*n**2.
-2*n*(n - 5)*(n + 2)/5
Factor -142*h + 24 - 117*h**2 - 43 - h**4 - 36*h - 61 - 20*h**3.
-(h + 1)**2*(h + 8)*(h + 10)
Factor -141*k - 8*k**3 + 9*k**3 + 60*k**2 - 2*k**3 + 2254 - 552*k + 0*k**3.
-(k - 46)*(k - 7)**2
Suppose 0 = -610*y + 1521*y. Factor y*v - 6/7*v**2 + 0 - 12/7*v**3 - 6/7*v**4.
-6*v**2*(v + 1)**2/7
Let h(l) = -45*l**2 - l + 1. Let k(x) = 2*x**3 - 827*x**2 + 39*x + 137. Let c(o) = -34*h(o) + 2*k(o). Factor c(i).
4*(i - 30)*(i - 2)*(i + 1)
Let -130*r + r**2 + 39 + 274*r + 245 = 0. What is r?
-142, -2
Let j(c) be the third derivative of -c**6/300 + 17*c**5/150 - 19*c**4/15 + 4*c**3 - c**2 + 52. Suppose j(l) = 0. Calculate l.
1, 6, 10
Let q be 290/2465 + (-92)/(-85). Suppose q*s**2 + 0 - 2*s**3 + 18/5*s + 2/5*s**4 = 0. What is s?
-1, 0, 3
Let z be (-2 + (-645)/(-300))/((-6)/(-630)*106 - 1). Solve 0 + 3/8*q**2 - z*q = 0.
0, 42
Let b(n) be the second derivative of -n**7/504 + 11*n**6/144 - 31*n**4/12 - 29*n. Let l(w) be the third derivative of b(w). What is g in l(g) = 0?
0, 11
Let v = -1018225 - -5091128/5. Let -6/5*t - v*t**3 - 24/5 + 3*t**2 = 0. Calculate t.
-1, 2, 4
Let c(d) be the second derivative of 2*d**7/21 - 4*d**6/15 - 9*d**5/5 + 6*d**4 + 166*d + 2. Solve c(u) = 0.
-3, 0, 2, 3
Determine p, given that -196*p - 194*p - 510 + 479*p - 180*p + p**2 - 2*p**2 = 0.
-85, -6
Suppose j + 373 = 382. Suppose 0 = -4*b - 9 - 11, 3*k + j = -3*b. Suppose -44/5*n - 52/5*n**k + 8/5 = 0. Calculate n.
-1, 2/13
Suppose 0 = 2*n - 4*u - 11 + 1, 0 = -5*n + 2*u + 17. Factor 99*y**n - y**2 - 200*y**3 + 4 + 95*y**3 + 24*y.
-(y - 2)*(y + 2)*(6*y + 1)
Suppose -27*m**3 + 780559070 - 14*m**3 + 19992*m**2 + 10590482*m - 2263814*m + 375460004 + 57*m**3 = 0. What is m?
-833/2
Suppose 0*g - 20 = -2*g + 2*n, 5*g + 4*n - 14 = 0. Let f(u) = -3*u**2 + 60*u + 6. Let d(b) = 2*b**2 - 60*b - 5. Let m(k) = g*d(k) + 5*f(k). Factor m(w).
-3*w*(w + 20)
Let n be 8/(-10) - 41608/(-1760). Let p = n + -232/11. Determine o so that p*o**3 + 0*o - 1/2*o**2 + 0 = 0.
0, 2/7
Factor 126*k**2 - 124*k**2 - 19*k - 196*k - 165*k + 78*k.
2*k*(k - 151)
Let w be (5700/(-84) - -1)*(-70)/4. Let x = -7019/6 + w. Factor x*o**4 - 1/6*o**2 + 1/6*o**3 - 1/6*o + 0.
o*(o - 1)*(o + 1)**2/6
Let m(y) = -7*y**2 - 649*y - 1284. Let i(q) = 37*q**2 + 3244*q + 6417. Let c(p) = -2*i(p) - 11*m(p). Solve c(k) = 0.
-215, -2
Let r be 1/1 + 4 + -2. Suppose 41792*j = 42013*j - 884. Find b, given that 3/8*b**2 - 3/8*b**j + 1/2*b + 0 - 5/8*b**r + 1/8*b**5 = 0.
-1, 0, 1, 4
Let r(f) be the third derivative of 10*f**4 + 0*f + 159*f**2 + 75/2*f**3 + 61/240*f**5 + 0 + 1/480*f**6. Determine x, given that r(x) = 0.
-30, -1
Let i(p) be the first derivative of p**3/12 - 278*p**2 + 309136*p - 3094. Find o, given that i(o) = 0.
1112
Suppose 3*c + 5*q + 22 = 11, 2*c + 6*q + 18 = 0. Determine n so that 1/3*n**4 - n**2 + n**c + 2 - 7/3*n = 0.
-3, -2, 1
Let r be (-510)/(-135) - (-976)/(-549). Suppose r + 1/2*b**4 - 3/2*b - 5/2*b**2 + 3/2*b**3 = 0. What is b?
-4, -1, 1
Let m be (-171)/54 + 4 - 3/(-18)*15. Suppose -m*h**3 + 20 + 40/3*h - 5*h**2 = 0. What is h?
-2, -3/2, 2
Let 28*t**2 - 82/3 - 2/3*t**4 - 80/3*t + 80/3*t**3 = 0. Calculate t.
-1, 1, 41
Let a(o) be the first derivative of o**5/330 + 17*o**4/66 - 35*o**3/33 - 3*o**2/2 + 23*o - 194. Let t(s) be the second derivative of a(s). Factor t(p).
2*(p - 1)*(p + 35)/11
Let q(v) be the first derivative of 3*v**5/20 + 3*v**4/8 - 5*v**3 + 9*v**2 + 1068. Find d, given that q(d) = 0.
-6, 0, 2
Let q(b) be the third derivative of -1/210*b**5 + 1/735*b**7 - 6*b + 1/1176*b**8 - b**2 + 0*b**4 + 0 + 0*b**3 - 1/420*b**6. What is h in q(h) = 0?
-1, 0, 1
Let w be 18/(-48) - 203/(-8). Suppose 5*r = 5*z + w + 5, z + 4 = 0. Determine b, given that 7 - 12*b + 12*b + r*b**2 - 9 = 0.
-1, 1
Let x(a) be the first derivative of -4*a**5/25 - 33*a**4/5 - 384*a**3/5 - 1512*a**2/5 - 612. Factor x(o).
-4*o*(o + 6)**2*(o + 21)/5
Let k(b) be the second derivative of b**5/5 - b**4/3 - 88*b**3/3 - 192*b**2 + 2017*b. Factor k(j).
4*(j - 8)*(j + 3)*(j + 4)
Let o be -2*18/(-15)*(-15)/8. Let m = 49/10 + o. Factor -18/5*u + 0 - m*u**3 + 12/5*u**2.
-2*u*(u - 3)**2/5
Let u = 123 - 110. Suppose 3*w + 3 = -o, 4*o - 1 = -5*w - u. Factor 4/3*h**2 + 1/3*h**4 + w + 0*h + 4/3*h**3.
h**2*(h + 2)**2/3
Let b(i) be the first derivative of 2*i**5/5 - 12*i**4 + 30*i**3 - 22*i**2 - 1432. Solve b(m) = 0.
0, 1, 22
Let f = -61 - -68. Factor 11*c**3 - 4*c - f*c**3 + 8*c - 8*c**2 + 0*c.
4*c*(c - 1)**2
Let f(l) = l**3 - l**2. Let n(i) = 3*i**3 + 114*i**2 - 3100*i - 23064. Let w(j) = -4*f(j) + n(j). Suppose w(s) = 0. Calculate s.
-6, 62
Let p(a) = 50*a**3 + 13*a**3 - 75 - 65*a**2 - 180*a + 15*a**4 - 8*a**3. Let c(j) = j**2 - 1. Let y(i) = 5*c(i) + p(i). Solve y(n) = 0 for n.
-4, -1, -2/3, 2
Let l(h) be the second derivative of h**5/10 - 23*h**4/6 - 26*h**3 - 981*h. Factor l(b).
2*b*(b - 26)*(b + 3)
Let m(i) be the first derivative of -2*i**5/35 - 5*i**4/14 + 4*i**3/21 + 24*i**2/7 - 613. Determine z so that m(z) = 0.
-4, -3, 0, 2
Find h such that -1192*h**2 - 35000 - 20375*h - 2633*h**2 - 12*h**4 - 5*h**4 - 205*h**3 + 22*h**4 = 0.
-5, 56
Factor -200/7 - 304/7*l - 106/7*l**2 - 2/7*l**3.
-2*(l + 1)*(l + 2)*(l + 50)/7
Let i(c) = -c - 1. Let q(u) = -u**3 - 7*u**2 - 15*u - 9. Let d be -1 - (4/22 + 855/(-165)). Let n(v) = d*i(v) - q
|
{
"pile_set_name": "DM Mathematics"
}
|
and 17.
1
What is the greatest common divisor of 579373753 and 119?
119
Calculate the greatest common divisor of 5828396 and 328.
164
What is the greatest common factor of 906600 and 1590?
30
Calculate the greatest common divisor of 1543470 and 510.
30
Calculate the highest common divisor of 66 and 51917664.
6
What is the greatest common divisor of 1668 and 16294692?
1668
Calculate the greatest common factor of 337 and 368186317.
337
Calculate the greatest common factor of 64218213 and 7746.
3873
What is the greatest common factor of 1441244 and 231?
7
Calculate the greatest common divisor of 7996 and 594124789.
1999
What is the highest common factor of 6080350 and 10900?
50
What is the greatest common factor of 301968 and 68036?
932
What is the highest common factor of 502012382 and 50608?
6326
What is the highest common factor of 1122 and 921756?
66
Calculate the highest common divisor of 602 and 330054627.
301
What is the highest common factor of 20970 and 13485?
15
Calculate the greatest common divisor of 23403490 and 6040.
1510
What is the highest common factor of 31692 and 66132864?
1668
What is the highest common factor of 30261091 and 931?
133
Calculate the highest common factor of 10764 and 112480524.
468
Calculate the greatest common divisor of 6348 and 2575839.
69
Calculate the highest common factor of 770 and 3044426.
154
Calculate the highest common factor of 437365864 and 38.
38
What is the highest common divisor of 11601842 and 126?
14
Calculate the greatest common divisor of 1230325 and 1769.
29
Calculate the highest common divisor of 111 and 10627732.
37
What is the greatest common divisor of 155000074 and 724?
362
Calculate the highest common factor of 50127474 and 1193.
1193
What is the greatest common factor of 10 and 138521300?
10
What is the highest common divisor of 462 and 3373902?
42
What is the highest common factor of 39750 and 1271682?
318
Calculate the greatest common factor of 4374592 and 16936.
232
What is the greatest common divisor of 4494 and 664356?
42
What is the highest common factor of 27533987 and 573?
191
What is the greatest common factor of 46 and 16250305?
23
What is the highest common factor of 4252 and 10171847?
1063
What is the highest common divisor of 133354747 and 4079?
4079
Calculate the highest common divisor of 5901075 and 765.
45
Calculate the highest common divisor of 552833 and 32.
1
Calculate the greatest common divisor of 53533 and 9983.
67
What is the highest common factor of 12376 and 9258914?
238
Calculate the greatest common factor of 579 and 379235543.
193
What is the highest common divisor of 119215 and 1217575?
565
What is the greatest common factor of 3088 and 47092?
772
What is the highest common factor of 4917260 and 180?
20
What is the highest common factor of 112012 and 1997092?
2732
Calculate the greatest common divisor of 3286482885 and 315.
315
What is the highest common divisor of 142848 and 45136?
496
What is the highest common divisor of 26 and 1588562?
2
Calculate the greatest common divisor of 20428572 and 228.
228
Calculate the highest common factor of 896 and 1029840.
112
Calculate the highest common divisor of 273 and 7856082.
39
What is the highest common factor of 48400 and 19461640?
4840
Calculate the highest common divisor of 2146 and 3810890.
58
Calculate the highest common factor of 2926482 and 1963.
13
What is the greatest common divisor of 87 and 17161359?
87
Calculate the greatest common divisor of 2001048 and 1632.
24
Calculate the greatest common factor of 93 and 15322339.
31
What is the greatest common divisor of 114 and 25832514?
114
Calculate the highest common factor of 8505763 and 30821.
833
Calculate the greatest common factor of 1444 and 15575744.
76
What is the highest common factor of 239156314 and 1004?
502
Calculate the greatest common factor of 2268 and 369712.
28
What is the greatest common factor of 133 and 28712?
1
Calculate the greatest common divisor of 10 and 125566080.
10
What is the highest common divisor of 138909995 and 322?
161
Calculate the greatest common divisor of 4384 and 21148.
4
What is the greatest common divisor of 108 and 1916652?
12
What is the greatest common factor of 93800 and 947800?
1400
What is the highest common factor of 175208278 and 126?
14
Calculate the highest common factor of 36593 and 3089981.
851
Calculate the greatest common factor of 524250 and 316647.
2097
What is the highest common factor of 3844 and 1697932?
124
Calculate the greatest common divisor of 32 and 569552352.
32
What is the highest common divisor of 40365 and 15135?
15
Calculate the highest common factor of 132836 and 1697212.
44
What is the highest common factor of 45610 and 134202864?
9122
Calculate the greatest common factor of 57081 and 4201377.
1077
Calculate the greatest common factor of 4608 and 2590776.
72
What is the greatest common divisor of 1631371 and 1071?
119
Calculate the greatest common divisor of 13843 and 142463.
109
Calculate the highest common divisor of 168579 and 711.
9
Calculate the greatest common factor of 13485 and 16161.
3
What is the highest common divisor of 25760 and 20850880?
3680
Calculate the highest common divisor of 10843209 and 6084.
1521
What is the highest common divisor of 66550 and 28738952?
2662
What is the highest common factor of 6488 and 3619493?
811
What is the greatest common factor of 785050 and 6034?
14
What is the greatest common factor of 2141790 and 143162?
94
What is the greatest common factor of 466941 and 617199?
951
Calculate the greatest common divisor of 88008 and 319656.
456
What is the highest common factor of 394832548 and 2244?
748
Calculate the greatest common factor of 7602 and 7271313.
3801
Calculate the highest common divisor of 4641 and 1088.
17
Calculate the greatest common factor of 52261094 and 1258.
1258
What is the highest common factor of 5813513 and 943?
41
What is the highest common divisor of 951931 and 11425?
457
Calculate the highest common factor of 127075544 and 5513.
149
What is the highest common divisor of 130 and 6870565?
65
What is the highest common divisor of 568 and 7142?
2
Calculate the highest common divisor of 52122 and 85134.
42
What is the highest common divisor of 25574 and 27702?
38
What is the highest common divisor of 19364 and 1166192059?
4841
Calculate the highest common factor of 6985298 and 796.
398
What is the greatest common factor of 50479 and 1682398?
353
What is the greatest common divisor of 15 and 5050137?
3
Calculate the greatest common factor of 129 and 70633821.
129
What is the highest common divisor of 7181251 and 693?
77
What is the highest common divisor of 3245682 and 198?
66
What is the highest common divisor of 31288371 and 369?
123
Calculate the highest common factor of 27387 and 160293.
51
Calculate the highest common factor of 14217869 and 67.
67
Calculate the greatest common divisor of 3903496 and 26246.
2386
Calculate the greatest common factor of 6896 and 22387864.
3448
Calculate the greatest common divisor of 21650496 and 4746.
42
Calculate the greatest common divisor of 5368 and 48674648.
88
Calculate the highest common factor of 81 and 31077135.
27
What is the greatest common divisor of 2736 and 219543480?
1368
What is the highest common factor of 9588488 and 448?
56
What is the highest common factor of 78 and 114950628?
78
Calculate the greatest common factor of 338 and 736892.
26
Calculate the highest common factor of 249807 and 33.
3
Calculate the greatest common factor of 34 and 90799448.
34
Calculate the greatest common divisor of 375114836 and 77428.
5956
Calculate the highest common divisor of 12870 and 901251.
117
Calculate the greatest common divisor of 8283531 and 46980.
87
What is the highest common divisor of 245880 and 20514588?
8196
Calculate the greatest common factor of 493 and 11290312.
17
Calculate the highest common factor of 16863983 and 1649.
17
Calculate the highest common factor of 859023 and 495.
99
What is the highest common factor of 40 and 22213535?
5
Calculate the highest common divisor of 38448 and 372888.
72
What is the greatest common factor of 5807516 and 13585?
143
What is the highest common factor of 21409 and 2323825?
271
Calculate the greatest common divisor of 3380 and 42371
|
{
"pile_set_name": "DM Mathematics"
}
|
Let x = k + 7. Let b(y) = -y. Give o*s(a) + x*b(a).
-2*a**2 + 2
Let s(b) = 32*b + 1. Let x(a) = -a. Give s(r) + 3*x(r).
29*r + 1
Let r be (-4)/(-6)*42/4. Let n(c) = 1. Let w(p) = p. Let m(i) = n(i) - w(i). Let s(d) = 2*d - 2. Give r*m(l) + 3*s(l).
-l + 1
Let k(b) = b. Let p(g) = 7*g - 35 + 35 - 2*g. What is 6*k(n) - p(n)?
n
Let g(h) = 145*h**3 - 55*h - 55. Let n(c) = -16*c**3 + 6*c + 6. Give 6*g(t) + 55*n(t).
-10*t**3
Let b(s) = s - 1. Let a(x) be the first derivative of x**3/3 - 5*x**2/2 + 5*x + 7. Calculate a(j) + 5*b(j).
j**2
Suppose 0 = 2*g - v + 4*v - 2, g + 5*v = 8. Let w(j) = -j**2 + 2*j + 1. Let i(d) = -d**2 + d + 1. What is g*w(n) + 3*i(n)?
-n**2 - n + 1
Let n(v) = 2*v**3 + 4*v**2 + 5. Let s(d) = -d**3 - 2*d**2 - 3. Determine 3*n(b) + 5*s(b).
b**3 + 2*b**2
Suppose 2*b + b = 12. Suppose 0*m - 9 = 3*i + m, -3*i - b*m = 9. Let g(r) = 5*r**2 - 2*r + 3. Let u(t) = -t**2 - 1. Let j = 31 + -32. Calculate i*u(q) + j*g(q).
-2*q**2 + 2*q
Let i(o) = -100*o + 196*o - 101*o. Let c(q) = -24*q. Calculate -3*c(y) + 14*i(y).
2*y
Let s(c) = -71*c - 14. Let a(g) = -14*g - 3. Give 11*a(h) - 2*s(h).
-12*h - 5
Let v(z) = 8*z**3 + 2*z**2 - 8*z + 6. Let o(g) be the second derivative of 23*g**5/20 + g**4/2 - 23*g**3/6 + 17*g**2/2 - 38*g. Calculate 6*o(h) - 17*v(h).
2*h**3 + 2*h**2 - 2*h
Let w(d) = -3 - 1 - 2*d + 2 - 5*d. Let f(q) = -q. Give 4*f(o) - w(o).
3*o + 2
Let b(q) = -6*q**3 + 3*q - 4. Let j(x) = -5*x**3 - x**2 + 2*x - 3. Give -3*b(t) + 4*j(t).
-2*t**3 - 4*t**2 - t
Let r(g) = 3*g - 18. Let t(n) = -n + 9. Determine 2*r(h) + 5*t(h).
h + 9
Let b(v) = -3*v**2 + 3*v + 7. Let w(g) = 2*g**2 - 2*g - 3. What is 4*b(t) + 7*w(t)?
2*t**2 - 2*t + 7
Let t(l) = l. Let k(w) = 5. Calculate -k(c) - 2*t(c).
-2*c - 5
Let y(p) = p**2 + p + 10. Let z be y(0). Let j(d) = 2 + 8 - z + d. Let c(t) be the third derivative of -t**4/6 - 4*t**2. Give c(v) + 6*j(v).
2*v
Let u(b) = -3*b - 2. Let s(y) be the second derivative of y**3/2 + y**2/2 - 10*y. Give 4*s(v) + 3*u(v).
3*v - 2
Let k(w) = -2*w**3 - 10*w**2 + 10*w. Let s(f) = f**2 - f. What is k(j) + 10*s(j)?
-2*j**3
Let h(q) = -4*q. Let p(r) = r**2 + 4*r. What is -4*h(l) - 4*p(l)?
-4*l**2
Let k(i) = -3*i**3 + 13*i**2 - 3*i - 4. Let g(h) = 2*h**3 - 12*h**2 + 2*h + 3. Calculate 5*g(t) + 4*k(t).
-2*t**3 - 8*t**2 - 2*t - 1
Let n(h) = 2*h**2 + 4*h + 23. Let i(t) = t**2 + 3*t + 22. Calculate 4*i(d) - 3*n(d).
-2*d**2 + 19
Let j be 10/(-35) + (-66)/14. Let r(i) = 3*i - 3. Let m(k) = -4*k + 3. Give j*m(p) - 6*r(p).
2*p + 3
Let v be ((-16)/4)/2 - -4. Let l(d) = 1. Let b(f) = -f + 3. Determine v*l(m) - b(m).
m - 1
Let k(j) = -6*j + 10. Let s be 10/6 - 1*8/12. Let b(x) be the second derivative of x**3/6 - x**2/2 - x. Calculate s*k(o) + 8*b(o).
2*o + 2
Let p(b) = 1560*b**3 - 91*b + 91. Let u(m) = -52*m**3 + 3*m - 3. Determine -3*p(i) - 91*u(i).
52*i**3
Let o(v) = -v. Let t(m) = 4*m + 1. Give -5*o(j) - t(j).
j - 1
Let k(l) = -l - 4. Let o(v) = -1. Let m(t) = t + 2. Let h(j) = -m(j) + 3*o(j). Let u be -1 + -5*(3 - 2). What is u*h(f) + 7*k(f)?
-f + 2
Let o(y) = 3*y - 9. Let r(q) = -q + 3. What is -2*o(z) - 7*r(z)?
z - 3
Let u(l) = -7*l**2 + 2*l - 1. Let g(f) = 28*f**2 - 8*f + 4. Give 2*g(v) + 9*u(v).
-7*v**2 + 2*v - 1
Let q(d) = d - 8. Let k(b) = 3*b - 17. Determine 6*k(w) - 13*q(w).
5*w + 2
Let x(s) = -21*s**2 - 15*s. Let v(y) = -y. Determine -15*v(j) + x(j).
-21*j**2
Let n be 45/10 + (-6)/4. Suppose 3*g + v - 5 = -n, -8 = -5*g + 3*v. Let j be -3 - (-3)/(g - 4). Let b(o) = -7*o - 2. Let m(x) = -3*x - 1. Give j*b(p) + 10*m(p).
-2*p - 2
Let n(i) = 10*i**2 - 6*i + 2. Let v(f) = 19*f**2 - 11*f + 4. Determine 5*n(u) - 3*v(u).
-7*u**2 + 3*u - 2
Let p(v) = v**2 - 7*v + 3. Let k(u) = u**2 - 15*u + 6. Calculate 2*k(a) - 5*p(a).
-3*a**2 + 5*a - 3
Let u(t) = 0*t**3 - 3*t**2 + 2*t**2 - t**3 + 0 + 1. Let k(i) = -4*i**3 - 2*i**2 + 2. Give 2*k(p) - 4*u(p).
-4*p**3
Let h(a) = -7*a**2 - 5*a + 2. Let o = 23 - 29. Let x(j) = -8*j**2 - 6*j + 3. Calculate o*h(f) + 5*x(f).
2*f**2 + 3
Let v(o) = 2*o**3 + 3*o**2 + 2*o + 4. Let f = -90 + 99. Let m(j) = -4*j**3 - 7*j**2 - 5*j - 9. Calculate f*v(w) + 4*m(w).
2*w**3 - w**2 - 2*w
Let r(g) = -5*g**3 - 5*g - 3. Let q(z) = -3*z**3 - 3*z - 2. Suppose i + 3*a + 7 = -12, -3*i + 4*a - 5 = 0. What is i*q(l) + 4*r(l)?
l**3 + l + 2
Let z(l) = -5*l**3 + 3*l**2 - l + 3. Let d(g) = 16*g**3 - 8*g**2 + 2*g - 8. Determine -3*d(y) - 8*z(y).
-8*y**3 + 2*y
Let g(v) = -2*v**2 - 7*v - 1. Let d(a) = -4*a**2 - 13*a - 1. Give 3*d(m) - 5*g(m).
-2*m**2 - 4*m + 2
Let d(h) = -h**2 + 1. Let q(k) = 10*k**2 + 5*k - 6. Determine 6*d(c) + q(c).
4*c**2 + 5*c
Let f(x) = x**2 + x + 1. Let o(c) = -24*c**2 - 22*c - 22. What is 44*f(m) + 2*o(m)?
-4*m**2
Let s(j) = 9*j**2 - 6 - 2*j + 9 + 6 + 2*j**3 - 7*j. Suppose 3 = m + 7. Let n be 42/10 - m/(-20). Let y(h) = -h**3 - 4*h**2 + 4*h - 4. Calculate n*s(v) + 9*y(v).
-v**3
Suppose -4*t + 7*t = -3. Let p(z) = z**3 + 2*z**2 + 2*z + 2. Let c(s) = s**2 + 1. Calculate t*p(r) + 2*c(r).
-r**3 - 2*r
Let n(c) = 6*c**2 - 2*c + 1. Let a be n(1). Let x(j) = -2*j - 6. Let o(b) = 2*b + 5. Let u(t) = 3*t + 31. Let p be u(-9). What is a*o(v) + p*x(v)?
2*v + 1
Let x(t) = 9*t**2 + 3*t - 6. Let z(y) = -26*y**2 - 8*y + 17. Determine -17*x(h) - 6*z(h).
3*h**2 - 3*h
Let o(p) = -8*p**2 + 4. Let w(b) = -b**2 + b - 1. Let d(u) = o(u) - 5*w(u). Let z(v) = -v**2 - 2*v + 4. Calculate -2*d(n) + 5*z(n).
n**2 + 2
Let l(i) be the second derivative of 13/2*i**3 + 0*i**2 + 8*i + 0. Let y(m) = 3*m. Give -2*l(n) + 27*y(n).
3*n
Let f(x) = 17 - 11 - 8 - 4*x**2 + 2*x**3 + 2*x. Let k(h) = -h**2 + h. What is f(m) - 4*k(m)?
2*m**3 - 2*m - 2
Let z(n) = 10*n**3 + 7*n**2 - 11. Let w(g) = -5*g**3 - 3*g**2 + 6. Give -7*w(f) - 3*z(f).
5*f**3 - 9
Let b(z) = -2 - 1 + 6*z**2 - 5*z**2. Let a be 0 + 2 + 0 + 2. Let i(q) = -q + q - 2*q**2 + 3*q**2 - 4. What is a*b(u) - 3*i(u)?
u**2
Let x(r) = -r**3 + 2*r**2 + r. Let g(m) = -2*m**3 + 5*m**2 + 2*m + 1. Determine 2*g(j) - 5*x(j).
j**3 - j + 2
Let s(g) = -2*g**2 + 5*g - 2. Let z(y) = -6*y**2 + 15*y - 6. Calculate 8*s(p) - 3*z(p).
2*p**2 - 5*p + 2
Suppose -k - 3*n = 3*k - 6, 3*k + 3*n = 3. Let i(x) = k + 4 - 3*x - 6 + 2*x. Let p(f) = 2*f - 4. Suppose 0 = 2*d - 3*d + 3. What is d*i(a) + p(a)?
-a - 1
Let g(i) = -4 + 0*i + 2*i**2 + 5*i - 5*i**2 + 2*i**2. Let l(o) = o**2 - o + 1. Let w = 3 - 2. Determine w*g(z) + 3*l(z).
2*z**2 + 2*z - 1
Let n(t) = -3*t - 2. Suppose 0 = -2*l - w + 9, 25 = 5*l - 2*w + 7*w. Suppose 4*g + 8 - l = 0. Let x(i) = -i. Determine g*n(s) + 5*x(s).
-2*s + 2
Let n(c) = -71 + 40 - 3*c**2 + 36 + 7*c**3 - c. Let q(k) = 3*k**3 - k**2 + 2. Determine -2*n(x) + 5*q(x).
x**3 + x**2 + 2*x
Let i(q) = 8*q**2 - 7*q + 5. Let a(v) = -15*v**2 + 13*v - 9. Let g(f) = 3*a(f) + 5*i(f). Let j(z) = -4*z**2 + 3*z - 1. Give -2*g(t) + 3*j(t).
-2*t**2 + t + 1
Let m(k) = -17*k**3 - 16*k**2 - 8. Let p(j) = 6*j**3 + 5*j**2 + 3. Give -3*m(c) - 8*p(c).
3*c**3 + 8*c**2
Let n(h) = h**2 + 47*h + 5. Let l(q) = -12*q - 1. What is 9*l(d) + 2*n(d)?
2*d**2 - 14*d + 1
Let f(m) be the first derivative of m**4/4 - 5*m**3/3 - 5*m**2/2 - 3*m - 1. Let c = -25 + 28. Let s(w) = 4 - w - w**2 - 5 - 2*w**3 + 3*w**c. Give f(g) - 3*s(g).
-2*g**3 - 2*g**2 - 2*g
Let d(k) = 4*k - 7. Suppose 0 = 3*o + o - 20. Suppose -o*l + 10 = -3*l. Let z(b) = 1 + 3*b + 14 - l*b - 7*b. Calculate -13*d(y) - 6*z(y).
2*y + 1
Let j(b) = b**2 + 2*b + 5. Let h(p) = 1. Let r = -2 - -6. Suppose -3*q = 4*o + 26, o - 3*q + r = 5. Determine o*h(g) + j(g).
g**2 + 2*g
Let h(u) = -u**2 + 3*u + 3. Let n(p) = -2*p**2 + 2*p + 3. Determine -4*h(z) + 6*n(z).
-8*z**2 + 6
Let g(x) = -15*x + 3. Let b(u) = 30*u - 5. Calculate 4*b(h) + 7*g(h).
15*h + 1
Let l(f) = -3*f - 1. Let u(y) = -2*y - 6*y + 0*y + 7*y. Let h(a) = l(a) - 4*u(a). Let d(m) = 3*m - 4. Give d(t) - 5*h(t).
-2*t + 1
Let a(f) = 7*f**2 - 6*f - 7. Let l = 35 + -41. Let s(r) = 8*r**2 - 7*r - 8. Determine l*s(k) + 7*a(k).
k**2 - 1
Let n(h) = -4 + 2 + h**2 + 1 - 4*h**3 - 2 - 3*h. Let a(w) = -w**3 - 7*w + 5. Let y(p) = -p**3 - 6*p + 4. Let u(s) = -5*a(s) + 6*y(s). Calculate -n(m) + 3*u(m).
m**3 - m**2
Let k(i) = -i**2 + 1. Let b(n) = 2*n**3 + n**2 - 3. Calculate -b(v) - k(v).
-2*v**3 + 2
Let w(j) = 5*j**3 - 2*j**2 - 2*j - 2. Let z(i) = 6*i**3 - 2*i**2 - 2*i - 2. Give -3*w(y) + 2*z(y).
-3*y**3 + 2*y**2 + 2*y + 2
Let v be 4/(-8) + 2/(-4). L
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - 9*z**3 + 36*z**3 + 2*z - 6*z**4 - 10*z**3 - 3*z**2 + 2*z**4 to the form m*z**2 + d + b*z + c*z**3 + a*z**4 and give m.
-3
Express 53*i**2 + 51*i**2 - 105*i**2 + 8 - 9*i**4 + 11*i**4 as l*i**4 + h*i**2 + x + v*i + d*i**3 and give d.
0
Express 308*l + 6*l**2 - 156*l - 174*l in the form c*l**2 + v*l + x and give v.
-22
Rearrange (-84*m - m**4 - 85*m + 167*m)*(2 - 3 - 1) to u*m + n*m**4 + l*m**3 + i*m**2 + t and give n.
2
Rearrange (-3 - 1 + 6 + 2 + 0 - 1 + (-4 + 0 + 2)*(2 + 0 - 1) + 7 + 2 - 2)*(48 - 48 - 19*y) to c*y + t and give c.
-152
Rearrange 2*s - s + s**4 - 78*s**3 + 3*s**3 - 25*s**3 + 13*s**3 to i*s**4 + k*s**3 + b*s**2 + l + n*s and give b.
0
Rearrange d + 2 - 7 + 4 + d + 2*d**2 - d**2 to b + x*d**2 + w*d and give x.
1
Rearrange -s - 3 + 3 + (10*s + 0*s + 0*s)*(-4 + 2 + 3) + 7*s + 4*s - 8*s to y*s + k and give y.
12
Rearrange 2 - 382*x - 79*x - 361*x + 178*x - 518*x to the form y + u*x and give y.
2
Express 3*c - 4*c + 2*c - 27 + 27 + 16*c + (3 + 1 - 2)*(-2*c + 4*c - 6*c) in the form f + l*c and give l.
9
Rearrange 5*w**2 - 35*w + 13*w + 2 + 2*w - 2*w**2 - 37*w to the form k + d*w**2 + q*w and give k.
2
Rearrange 10*f**2 - 60*f**2 - 13*f + 60*f**2 - 1 + (2*f - 2 + 2)*(2 + 2*f - 2) to m*f + u*f**2 + l and give l.
-1
Rearrange j + 71*j**2 + 74*j**2 + 5*j**4 - 3*j**4 + 5*j**3 - 5 - 144*j**2 + 8 to the form f*j + u + m*j**2 + r*j**4 + y*j**3 and give y.
5
Rearrange 6*l**4 + 6*l - 13*l**4 - l**3 - 6*l - 2*l**2 + 3*l to r*l + w*l**4 + g + j*l**2 + m*l**3 and give m.
-1
Rearrange (-133 + 133 + 28*f)*(f**2 - f**2 - f**2) + (-2 - 1 - 2)*(f**3 + 0*f**3 - 3*f**3) to the form p*f**3 + r + t*f**2 + v*f and give p.
-18
Express 3*s**3 + 7*s**2 + 7*s**3 + 10719*s - 10718*s in the form n*s + w*s**3 + i + p*s**2 and give p.
7
Rearrange (-92*z + 34*z + 32*z)*(0 - 5 + 4)*(6 - 4 - 1)*(-2*z**2 - 3*z**2 + 2*z**2) to y + g*z + v*z**3 + t*z**2 and give t.
0
Rearrange (0 - 5 + 3)*(7*j + 10*j + 0*j)*(4 + 0 - 3)*(37*j**3 + 42*j - 42*j) to the form x*j + z*j**2 + u*j**3 + y + l*j**4 and give z.
0
Express (-3*f**3 + f**3 - 2*f**3)*(462*f - 99 - 230*f - 231*f) as d*f + p*f**4 + k + u*f**2 + b*f**3 and give p.
-4
Rearrange (2*q**2 + 0 + 3*q + 0)*(0*q + q + 14*q) + (3 - 3 - q**2)*(0*q - 2*q + 3*q) - q**3 + 3 - 3 to the form s*q**2 + f*q**3 + u*q + x and give x.
0
Rearrange (c**3 - 3*c**3 + c**3)*(-4 + 3 - 1) + (3 - 8 + c**2 + 10 + c)*(2*c - 4*c - 16*c) to the form a + g*c**3 + w*c**2 + o*c and give o.
-90
Rearrange (22*r - 1140 + 1140)*(0*r**2 - 3*r**2 + 2*r**2) to the form o*r + d*r**3 + n*r**2 + w and give n.
0
Express 64 + 59*b**4 + b**2 - 22 - 19 - 22 as i*b**3 + z + q*b**4 + t*b**2 + k*b and give t.
1
Express (-v - 3*v + 3*v)*(10*v**2 - 6*v**3 - 10*v**2) + v**4 - v**4 - 9*v**2 + 2*v**4 as a*v**4 + b*v + l + q*v**2 + r*v**3 and give q.
-9
Rearrange -128*d**2 - 111 + 89 + 730*d**2 + 22 to n*d + w*d**2 + c and give w.
602
Express 1 - 1 - z**4 + (-1 + 1 - 1)*(5*z**4 + 0*z**4 - 4*z**4) - 631*z**3 + 631*z**3 - 206*z**4 as h*z + g*z**2 + n*z**3 + d + x*z**4 and give d.
0
Rearrange s - s + 1309*s**2 - 921*s**2 to c*s + g*s**2 + r and give g.
388
Express -8 + 19 + 840*x - 845*x as l + q*x and give q.
-5
Rearrange -18*n - 21*n + 2*n - 60*n to the form t + a*n and give a.
-97
Rearrange 8*a**2 + 5*a**3 + 2*a**3 + 0*a**2 - 8*a**3 - 1 to the form n + p*a**3 + b*a + w*a**2 and give w.
8
Rearrange -10*q - 292 + 150 + 145 to x + z*q and give x.
3
Express 31*t - 1 + 37*t - 66*t + 11*t**2 + 23*t**2 in the form p + h*t + s*t**2 and give s.
34
Rearrange (-3 + 13 - 6)*(-2 - 22*t + 49*t - 29*t) to o*t + p and give o.
-8
Express 5 + 49*y**2 + 15 - 19 as w*y**2 + r + d*y and give w.
49
Express -1026*c**2 + 6*c**3 + 7*c**3 + 1023*c**2 in the form z*c**3 + u*c**2 + a*c + f and give u.
-3
Rearrange 149*l**2 - l**3 - l + 2 + 160*l**2 + 6*l**4 - 304*l**2 to the form t*l**4 + p*l + v*l**2 + x + q*l**3 and give p.
-1
Express -168*o - 210 - 159*o + 489*o - 160*o as d + v*o and give v.
2
Express (7*p + 4*p - 13*p - 4*p**2)*(-1 - 5 - 10) as j + s*p**2 + b*p and give b.
32
Express -176 - 186*a + 188*a - 217 as f*a + m and give f.
2
Express -26*n + 205*n - 30*n + 151*n in the form j + l*n and give l.
300
Rearrange 794*r**2 + 137*r - 1588*r**2 + 800*r**2 to the form p*r**2 + j*r + s and give j.
137
Rearrange 2*d + 11*d + 3*d - 3*d + d + d + (2 - 2*d - 2)*(0 + 0 - 1) + 2*d + d + d + (5 + 3*d - 5)*(0 + 2 + 0) to m*d + u and give m.
27
Rearrange -16 + 7 + 9 - 525*m**2 to the form c*m + q*m**2 + z and give q.
-525
Rearrange -113*q + 78*q - 37 + 16 + 20 - 190*q to the form x*q + y and give y.
-1
Express 4900*z + 1 - 5111*z - 1 as d + s*z and give s.
-211
Express 33 + 5*q + 28 - 62 in the form v + z*q and give v.
-1
Rearrange (-2 + 2 + 3*d)*(0 - 2 + 0)*(44 + 14 - 13)*(2 - 3 - 2) to w + n*d and give n.
810
Express -72*a**4 + 157*a**4 - 388*a**4 + (3*a**2 - a**2 - 4*a**2)*(-2*a**2 + 5 - 5) - 3*a**4 - 2*a**4 + 3*a**4 as t*a + m*a**2 + s*a**4 + z*a**3 + i and give s.
-301
Express (2*z + 0*z - 5*z)*(2*z + 2 - 2) + (z + 12*z + 3*z - 2)*(3*z + 5 + 0 - 4*z) in the form y*z**2 + w*z + t and give y.
-22
Rearrange 33 - 4*q**2 + 8 - 5 to p*q + o*q**2 + w and give o.
-4
Rearrange 226*b + 6 - 5 - 2 + 666*b to the form i + f*b and give f.
892
Express 3*m + 5481*m**2 - 5988*m**2 - m as f*m**2 + n*m + v and give n.
2
Express -2 + 670*v + 117*v**2 - v**3 - 670*v as c*v + l + g*v**2 + b*v**3 and give g.
117
Express 33*u - 81*u + 3 + 35*u in the form a*u + o and give o.
3
Express -2*j + j + 0*j + (1 - 3 + 0)*(0*j - 2*j + 4*j) + 3*j + 3*j - 4*j as r + p*j and give p.
-3
Express -2*v + 225*v**3 + 43*v**4 + 226*v**3 - 452*v**3 in the form u + f*v**3 + j*v**4 + w*v + x*v**2 and give j.
43
Express 22*c**4 + 45*c**4 - 26*c**4 + (c + 3*c**3 - c)*(6*c - 6*c + 8*c) as r*c**3 + m*c**4 + j + u*c**2 + g*c and give m.
65
Express (-54*z + 32*z**3 + 54*z)*(3 + 5 - 5)*(2*z + 2*z - z) as w + i*z**4 + y*z**2 + c*z + p*z**3 and give i.
288
Express 4*k + 41 + 0*k - 43 + 5*k as y*k + v and give v.
-2
Rearrange 3*z**3 + z**3 - 6*z**3 + (2*z**3 + 2*z**2 - 2*z**2)*(-2 - 3 + 1) + 4*z**3 - 12*z**3 + 7*z**3 to the form q + i*z**3 + l*z + j*z**2 and give i.
-11
Express -i + 5*i**2 + 2*i**3 + 2*i**3 + 2 - 6*i**3 as h*i**2 + a*i + y*i**3 + j and give a.
-1
Express 0*n**2 + 5*n**2 - 2*n**2 + (973 - 973 - 64*n)*(-n - 3*n + 6*n) in the form b + y*n + k*n**2 and give b.
0
Rearrange 4518 + 12*u**4 - 4525 + 2*u**2 - 4*u**4 to the form c*u + h*u**3 + b + k*u**4 + p*u**2 and give b.
-7
Rearrange (-2*y**3 + y - y)*(3 - 2 - 2) + (-142*y**2 - 571*y + 571*y)*(2*y - 4 + 4) to n*y + o*y**3 + s + b*y**2 and give o.
-282
Express 80*z**2 - 2*z**3 + 11*z**3 - 9*z - 13*z**3 + 8*z as a*z**2 + l*z + x*z**3 + g and give a.
80
Express -18*b + 52*b - 15*b - 55*b**2 - 17*b in the form p*b**2 + l*b + c and give p.
-55
Express 461*t - 197*t + 227*t as n + j*t and give j.
491
Express 3 + 5*h - h**2 - 14*h - 5*h**3 + 11*h as k*h**2 + n*h + a + g*h**3 and give n.
2
Rearrange (-2*k**2 + 225542*k - 20 - 225542*k)*(-k**2 + 3*k**2 + 0*k**2) to the form x + a*k**4 + m*k**2 + s*k**3 + b*k and give a.
-4
Express 3*j + 9*j + 7*j - 14*j in the form x*j + v and give x.
5
Express (-10 + 2 - 7)*(-7*r + 2*r - 5*r) in the form m + q*r and give q.
150
Express (-1 + 5 - 3)*(-3*x + x + 4*x) - 3 + 3 + x - x + 4 - 4 - x - 1 + 1 + (2 - 2 + 1)*(-x - 2*x + 2*x) - 3*x + 0*x + 7*x as y*x + b and give y.
4
Express -4 - 7*u**3 - 65*u - 3*u**3 + 35*u + 5*u**2 + u**3 + 31*u as r*u**2 + p*u**3 + y + v*u and give y.
-4
Rearrange (3*w - 5*w + 4*w)*(-61 + 36 - 20) + 6*w - 12*w - w to m + g*w and give g.
-97
Express 2 - 2 - 2*h**2 + (-70 + 140 + 161)*(-2*h**2 + h**2 - h**2) in the form g + s*h + t*h**2 and give t.
-464
Express -2*s - 3*s + 2*s + (-2*s - 3*s + 6*s)*(27 + 20 + 60) as c*s + u and give c.
104
Express (2 - 6 + 2 + 3 - 2 + 1 + (-1 - 2 + 2)*(-3 + 0 + 2))*(69*l**4 - 32*l**4 - 14*l**4) in the form p*l**2 + u*l**4 + s*l**3 + r*l + g and give u.
23
Express -757*k + 8*k**2 + 1521*k - 764*k - 4 as p*k**2 + a*k + w and give w.
-4
Rearrange -100*c**4 - 16*c**4 + 3 - 60*c**4 - c**2 - 2 + 12*c**4 to the form g*c + n*c**4 + k + r*c**2 + y*c**3 and give k.
1
Express -1178 + 1178 - 186*g**2 + (-1 + 3 - 1)*(-g**2 + 5*g**2 - 2*g**2) in the form y + h*g**2 + z*g and give h.
-184
Express -800*q - 5 + 4 + 1497*q - 8
|
{
"pile_set_name": "DM Mathematics"
}
|
4, 2 in increasing order.
-83, -25, -4, 2, 4
Sort 940, 268, -4 in decreasing order.
940, 268, -4
Sort 2, 40/3, 0.24 in decreasing order.
40/3, 2, 0.24
Sort 0.1, -1.6, -25, -2, -4 in decreasing order.
0.1, -1.6, -2, -4, -25
Put -0.01, -3, -1, 4, 82, 2/43 in decreasing order.
82, 4, 2/43, -0.01, -1, -3
Put 136, 5232, -0.3 in decreasing order.
5232, 136, -0.3
Sort -1, -2831, 1, 3 in decreasing order.
3, 1, -1, -2831
Sort 5, -8, 31070, -5, -3.
-8, -5, -3, 5, 31070
Put -2/3, -0.2, 2, 125742 in increasing order.
-2/3, -0.2, 2, 125742
Put -59, -22, -20 in increasing order.
-59, -22, -20
Put -14/43, -1/17, -0.7, -3 in decreasing order.
-1/17, -14/43, -0.7, -3
Sort 0.1, 1, 40/9, -7/5, -3, 5 in increasing order.
-3, -7/5, 0.1, 1, 40/9, 5
Put -39, 3, -3, 8 in decreasing order.
8, 3, -3, -39
Put 4, -9, 0, 1, 3, -47 in ascending order.
-47, -9, 0, 1, 3, 4
Put -4, 301.3, -0.3, 0 in increasing order.
-4, -0.3, 0, 301.3
Sort -1, -3, 18, 55, 4, -38 in descending order.
55, 18, 4, -1, -3, -38
Sort -201, 7, 3, 2, 4 in ascending order.
-201, 2, 3, 4, 7
Put 6, 5, -44, -25 in descending order.
6, 5, -25, -44
Put -16, 8, -57 in decreasing order.
8, -16, -57
Put 0.3, 4, -0.01, -1/115, -11 in descending order.
4, 0.3, -1/115, -0.01, -11
Put -0.1, -2, 233, 108, 4 in decreasing order.
233, 108, 4, -0.1, -2
Put 77, -4, 64, 5, 1 in decreasing order.
77, 64, 5, 1, -4
Put -0.06, -183, -3, 4 in ascending order.
-183, -3, -0.06, 4
Put 36, -24, 8 in ascending order.
-24, 8, 36
Put -1/5731, -1, -0.3, 2/5 in increasing order.
-1, -0.3, -1/5731, 2/5
Sort -9324, -17, 4 in descending order.
4, -17, -9324
Put 3, 9, 257 in decreasing order.
257, 9, 3
Put -1376, 5, 187, -2 in descending order.
187, 5, -2, -1376
Put 0.4, 2/9, 1/3, -2, 1/8 in decreasing order.
0.4, 1/3, 2/9, 1/8, -2
Put -21066, -2, -5 in increasing order.
-21066, -5, -2
Put -8, 2, 4, -4192 in descending order.
4, 2, -8, -4192
Put -0.4, -2, -68440, 0, 2/5 in descending order.
2/5, 0, -0.4, -2, -68440
Sort -13, 17, 5, -35, 0 in descending order.
17, 5, 0, -13, -35
Put 2, 2/17, 9, -0.123, -2/3, -1 in increasing order.
-1, -2/3, -0.123, 2/17, 2, 9
Put -0.38, -2/9, -80 in descending order.
-2/9, -0.38, -80
Sort -11, 5, 400, 22, 1.
-11, 1, 5, 22, 400
Put 2, -32, -7, -4 in decreasing order.
2, -4, -7, -32
Put 3, 7388/9, 0.5, -0.4 in decreasing order.
7388/9, 3, 0.5, -0.4
Sort 1/2, -0.2, 0.26, -1/3, -3, -9.
-9, -3, -1/3, -0.2, 0.26, 1/2
Put 16612, 2, 282 in decreasing order.
16612, 282, 2
Sort -0.5, -4, 0, -81080 in decreasing order.
0, -0.5, -4, -81080
Put 24, 2/21, 102, 0.3, -1/9 in ascending order.
-1/9, 2/21, 0.3, 24, 102
Put 1, 1.6086, -2/3, 2, -8 in descending order.
2, 1.6086, 1, -2/3, -8
Put -896, -8, 0 in decreasing order.
0, -8, -896
Put 0.3, -0.1, 29362.93 in increasing order.
-0.1, 0.3, 29362.93
Sort -6, 4, -12, -1/5, 3, 16/3 in ascending order.
-12, -6, -1/5, 3, 4, 16/3
Sort -3, -5, 14, -34, 5, 122 in increasing order.
-34, -5, -3, 5, 14, 122
Sort -2, -1/16, -1, 4 in ascending order.
-2, -1, -1/16, 4
Put -35.8, 1/3, 0.33, -3 in decreasing order.
1/3, 0.33, -3, -35.8
Sort -1, -5, -2, 17, 19, 3 in increasing order.
-5, -2, -1, 3, 17, 19
Put -2/7, 29, -22493 in decreasing order.
29, -2/7, -22493
Sort 1/4, 0.4, 3/13, -127, -3, 3 in decreasing order.
3, 0.4, 1/4, 3/13, -3, -127
Sort -5, -3, 4, -6, 64.
-6, -5, -3, 4, 64
Put 0, 5, 0.5, -0.1, 17.5, 1 in increasing order.
-0.1, 0, 0.5, 1, 5, 17.5
Put -5830, 0.2, 2/5 in decreasing order.
2/5, 0.2, -5830
Sort -3, -893, 6 in descending order.
6, -3, -893
Sort -0.3, -0.6, -69, -2, -3.
-69, -3, -2, -0.6, -0.3
Put 0.12381, 0.3, -1/11, -29 in increasing order.
-29, -1/11, 0.12381, 0.3
Put 1, 3, 56, -4, -1, -25 in descending order.
56, 3, 1, -1, -4, -25
Put 16, 1, -5, 0, -198 in increasing order.
-198, -5, 0, 1, 16
Sort 2, -46, 4, -645, -6.
-645, -46, -6, 2, 4
Put -27, 5, -5, -167 in increasing order.
-167, -27, -5, 5
Sort 91, -454, -6 in ascending order.
-454, -6, 91
Put 0.356, 10, -0.4 in increasing order.
-0.4, 0.356, 10
Sort 1/6, -1/8, 32, 53.8 in descending order.
53.8, 32, 1/6, -1/8
Put 2, 30, -4, -1, -56 in decreasing order.
30, 2, -1, -4, -56
Sort -3, -11, -1, 5575 in decreasing order.
5575, -1, -3, -11
Sort -106, -4, 434 in ascending order.
-106, -4, 434
Sort 5, 0.2, 3, -2, -22.22 in descending order.
5, 3, 0.2, -2, -22.22
Put -32, -5, -3, -2, 2 in ascending order.
-32, -5, -3, -2, 2
Put -6, -2, 5, 0.0659, -6/13 in descending order.
5, 0.0659, -6/13, -2, -6
Sort 3, 10, 2, 48, -5.
-5, 2, 3, 10, 48
Put -0.2, -0.024, 4568 in descending order.
4568, -0.024, -0.2
Sort -3/5, 0.1, 1, 43/6 in increasing order.
-3/5, 0.1, 1, 43/6
Put 2, 4, 41978 in descending order.
41978, 4, 2
Sort -25, 4/3, 11/2, 48.
-25, 4/3, 11/2, 48
Put -2, 18, -206, 3, -0.3 in descending order.
18, 3, -0.3, -2, -206
Sort 1, 4, -2, -4, 15656.
-4, -2, 1, 4, 15656
Sort -4, -3, 4, -1768 in descending order.
4, -3, -4, -1768
Put -0.73, -0.4, 169 in increasing order.
-0.73, -0.4, 169
Put -3, -111, 701 in descending order.
701, -3, -111
Put -9, 73, 30 in descending order.
73, 30, -9
Sort 105, 3/4, 0.1, 0.29, -2.
-2, 0.1, 0.29, 3/4, 105
Sort -1, 26, 2, 35, 6, -3.
-3, -1, 2, 6, 26, 35
Sort -32, 309, -42 in ascending order.
-42, -32, 309
Sort 47, -189, 0, -5, 113 in decreasing order.
113, 47, 0, -5, -189
Sort -0.17, -2/13, 3, -57, -0.3.
-57, -0.3, -0.17, -2/13, 3
Sort -3, -22, 10, 5, -4, -2 in increasing order.
-22, -4, -3, -2, 5, 10
Put 272, 1/2, -11/4, -2 in decreasing order.
272, 1/2, -2, -11/4
Put -104969, 4, 0, -1 in descending order.
4, 0, -1, -104969
Sort 100, -3, -0.15.
-3, -0.15, 100
Sort -76, -2, 49.
-76, -2, 49
Sort 33, -10/3, -10 in decreasing order.
33, -10/3, -10
Sort 0.1, -6, -3/2, -3/47.
-6, -3/2, -3/47, 0.1
Put 9, -2, 37, -1 in increasing order.
-2, -1, 9, 37
Sort 1967, -7, -4 in decreasing order.
1967, -4, -7
Put 9, -15, 75, -4, -1 in decreasing order.
75, 9, -1, -4, -15
Sort 2/719, 2, -70 in ascending order.
-70, 2/719, 2
Sort -1/8, -2, 2, -25, 23/6 in increasing order.
-25, -2, -1/8, 2, 23/6
Sort 17476, 0, -2 in ascending order.
-2, 0, 17476
Put 1, -2, -4, -5, 61, -10 in increasing order.
-10, -5, -4, -2, 1, 61
Put -8, 5, 665, 6 in descending order.
665, 6, 5, -8
Put 2/5, 1, -13, -3, 3.4, -2/3 in decreasing order.
3.4, 1, 2/5, -2/3, -3, -13
Put -3, 2292/5, 0 in ascending order.
-3, 0, 2292/5
Sort 1/2, 2/5, -4/41, -11, 1, 0.1 in ascending order.
-11, -4/41, 0.1, 2/5, 1/2, 1
Sort -1, 1, 6, 4, 0, -43 in ascending order.
-43, -1, 0, 1, 4, 6
Sort 2/3, 0, 4091.
0, 2/3, 4091
Sort -611, -4, 1, -2, 5.
-611, -4, -2, 1, 5
Sort 10, 0, -81, -20, -1, -5 in ascending order.
-81, -20, -5, -1, 0, 10
Put -2, -0.53, 4, 8, 0 in descending order.
8, 4, 0, -0.53, -2
Sort -4, 3, -2, 45291 in ascending order.
-4, -2, 3, 45291
Sort 4, 2, -5, -367.
-367, -5, 2, 4
Sort 0.5, -5, 4, 3/5, -1/7, 5203 in decreasing order.
5203, 4, 3/5, 0.5, -1/7, -5
Sort 2, -3, 493, -7.
-7, -3, 2, 493
Put -3/5, -56, -3/8, -2, -2/25 in descending order.
-2/25, -3/8, -3/5, -2, -56
Put 5, -3, 71, -6, 18 in increasing order.
-6, -3, 5, 18, 71
Put -5, 10, -819 in descending order.
10, -5, -819
Sort 4, -14, -30, 3 in increasing order.
-30, -14, 3, 4
Sort 281, -5, -135, -3 in ascending order.
-135, -5, -3, 281
Sort 1219, 8, 15 in descending order.
1219, 15, 8
Sort 3/5, -1, 12.5, -2/11, -51 in descending order.
12.5, 3/5, -2/11, -1, -51
Put 33317, -5, -2, -1, -3, 0 in decreasing order.
33317, 0, -1, -2, -3, -5
Put 4, -16, 1, -54/5, -4/53 in decreasing order.
4, 1, -4/53, -54/5, -16
Sort 4, 98, -6, -3 in decreasing order.
98, 4, -3, -6
Put -5, 36, -2, 465, 4 in increasing order.
-5, -2, 4, 36, 465
Sort 3, 43, -18, -1, -12, -3 in increasing order.
-18, -12, -3, -1, 3, 43
Sort 55, -3, 5, -0.025 in decreasing order.
55, 5, -0.025, -3
Put 0.4, 3, -4929, 5/12, -3, 6 in descending order.
6, 3, 5/12, 0.4, -3, -4929
Put -7, 285, 82 in descending order.
285, 82, -7
Sort 1, 11, -9.8, 5, -4/7, 1.06 in increasing order.
-9.8, -4/7, 1, 1.06, 5, 11
Sort -1/4, -0.1, -4, 85, -0.3 in descending order.
85, -0.1, -1/4, -0.3, -4
Sort 6.9, -1, 595.
-1, 6.9, 595
Sort 1/3, -1/17, 5, -7, 0.3, 70.
-7, -1/17, 0.3, 1/3, 5, 70
Put -0.72, -3/8, 121 in descending order.
121, -3/8, -0.72
Put -4031, -4, -41, -1 in decreasing order.
-1, -4, -41, -4031
Put -5, 3558, -6 in decreasing o
|
{
"pile_set_name": "DM Mathematics"
}
|
culate prob of picking 1 c and 1 h when two letters picked without replacement from ychhrrr.
2/21
Calculate prob of picking 4 m when four letters picked without replacement from {p: 2, m: 7}.
5/18
What is prob of picking 2 w and 1 a when three letters picked without replacement from iddwwwwdiifdiwdadiiw?
1/76
Four letters picked without replacement from {k: 5, a: 1, i: 4, u: 2, n: 1, l: 2}. What is prob of picking 1 k, 2 u, and 1 n?
1/273
What is prob of picking 2 p and 1 z when three letters picked without replacement from ppzp?
3/4
What is prob of picking 2 j, 1 u, and 1 m when four letters picked without replacement from jujmujumu?
4/21
Calculate prob of picking 1 y and 3 s when four letters picked without replacement from gggsssy.
1/35
Two letters picked without replacement from rrrrrbb. Give prob of picking 2 r.
10/21
Calculate prob of picking 1 t and 1 i when two letters picked without replacement from iitnttiitn.
16/45
Three letters picked without replacement from yyyyvvyyyyyvyvyyyy. What is prob of picking 3 v?
1/204
Four letters picked without replacement from {z: 4, d: 9, y: 4}. What is prob of picking 1 d and 3 y?
9/595
Calculate prob of picking 1 z and 1 j when two letters picked without replacement from ejzhr.
1/10
Calculate prob of picking 3 r and 1 o when four letters picked without replacement from {u: 2, r: 3, o: 3}.
3/70
Three letters picked without replacement from {l: 4, t: 1, k: 1, w: 2}. What is prob of picking 3 l?
1/14
Three letters picked without replacement from yyyyyyyyyyyyq. What is prob of picking 2 y and 1 q?
3/13
What is prob of picking 2 t and 2 v when four letters picked without replacement from vbxvbxbibtvttxbbxtxe?
6/1615
Four letters picked without replacement from {y: 2, l: 2, x: 1, v: 3, r: 6}. What is prob of picking 3 r and 1 y?
40/1001
Three letters picked without replacement from {b: 3, e: 2}. What is prob of picking 3 b?
1/10
What is prob of picking 1 n, 1 c, and 1 e when three letters picked without replacement from ncwwawwwvvve?
1/220
Two letters picked without replacement from xanlnalanac. What is prob of picking 1 c and 1 n?
3/55
Three letters picked without replacement from {a: 1, j: 1, g: 5, t: 1, l: 3}. What is prob of picking 1 j, 1 a, and 1 t?
1/165
Three letters picked without replacement from hwhhhwhwhhhhhhhwwhhh. Give prob of picking 3 w.
1/114
Two letters picked without replacement from {k: 2, f: 7, s: 3}. What is prob of picking 1 s and 1 f?
7/22
What is prob of picking 1 c and 1 x when two letters picked without replacement from {x: 2, c: 3}?
3/5
Calculate prob of picking 1 h, 1 a, and 1 j when three letters picked without replacement from annnanjndhnojdhdna.
1/68
What is prob of picking 1 m and 2 u when three letters picked without replacement from mmmmmmmmmmmummummmmm?
3/190
Two letters picked without replacement from uhukcuhkkukhkhu. What is prob of picking 1 h and 1 k?
4/21
Three letters picked without replacement from xxbxrxxbxxxxbxrxx. Give prob of picking 1 b, 1 r, and 1 x.
9/85
What is prob of picking 1 m, 1 o, and 1 g when three letters picked without replacement from cmciccogoggooy?
3/91
Two letters picked without replacement from ssvssvvf. What is prob of picking 1 s and 1 f?
1/7
What is prob of picking 3 n and 1 j when four letters picked without replacement from {w: 3, i: 2, j: 3, n: 3, y: 3}?
3/1001
Three letters picked without replacement from {r: 3, f: 5}. What is prob of picking 2 r and 1 f?
15/56
Calculate prob of picking 3 i and 1 s when four letters picked without replacement from ipjpspppipipi.
4/715
What is prob of picking 1 c, 1 v, and 1 e when three letters picked without replacement from {v: 2, w: 1, d: 1, c: 2, e: 1}?
4/35
Two letters picked without replacement from tetetttt. Give prob of picking 2 t.
15/28
Three letters picked without replacement from ggxjgjxxjjggjggjg. Give prob of picking 3 g.
7/85
Four letters picked without replacement from {i: 2, f: 5}. Give prob of picking 2 i and 2 f.
2/7
Two letters picked without replacement from etteteggtggtte. Give prob of picking 2 e.
6/91
Four letters picked without replacement from fffffff. What is prob of picking 4 f?
1
Calculate prob of picking 1 m, 1 p, 1 s, and 1 g when four letters picked without replacement from {p: 4, s: 1, g: 1, m: 4}.
8/105
Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {x: 2, g: 3, h: 10}.
2/7
What is prob of picking 1 t and 1 w when two letters picked without replacement from xttxwwtxtwxxxwx?
16/105
Two letters picked without replacement from nwnnnnnnnnnnnwnnnn. What is prob of picking 2 w?
1/153
What is prob of picking 1 l and 1 t when two letters picked without replacement from ltcvttlcbcnclcc?
3/35
What is prob of picking 2 u and 2 d when four letters picked without replacement from {d: 4, u: 2, a: 3}?
1/21
Two letters picked without replacement from rrrrrryyrrrrryr. Give prob of picking 2 r.
22/35
What is prob of picking 2 z when two letters picked without replacement from kzzkzz?
2/5
Calculate prob of picking 2 l when two letters picked without replacement from {w: 5, l: 5, k: 4}.
10/91
What is prob of picking 1 y, 1 s, and 1 m when three letters picked without replacement from {m: 4, o: 2, s: 1, y: 3}?
1/10
Two letters picked without replacement from {h: 2, j: 1}. Give prob of picking 2 h.
1/3
Calculate prob of picking 2 u and 2 n when four letters picked without replacement from {u: 2, n: 5}.
2/7
Two letters picked without replacement from ktkppiiilgk. What is prob of picking 1 k and 1 l?
3/55
What is prob of picking 1 h and 1 s when two letters picked without replacement from hshhhhhhhhhh?
1/6
Two letters picked without replacement from abfyakyee. What is prob of picking 2 e?
1/36
Calculate prob of picking 1 a and 3 m when four letters picked without replacement from aaamaamaaaaamm.
40/1001
Two letters picked without replacement from vttvtrrtrrvrvvrr. Give prob of picking 1 t and 1 v.
1/6
What is prob of picking 2 z when two letters picked without replacement from {q: 1, z: 2, l: 1, s: 1}?
1/10
Four letters picked without replacement from aenanaaeneann. Give prob of picking 4 a.
1/143
Calculate prob of picking 2 l, 1 x, and 1 a when four letters picked without replacement from llltwxlwa.
1/21
Three letters picked without replacement from ujqnnwq. What is prob of picking 1 w, 1 q, and 1 n?
4/35
Two letters picked without replacement from {u: 1, p: 3, j: 1, w: 3, h: 5}. What is prob of picking 2 w?
1/26
Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {u: 2, j: 1, p: 1, z: 1, v: 2, r: 1}.
1/28
What is prob of picking 2 n when two letters picked without replacement from {j: 3, n: 11}?
55/91
Two letters picked without replacement from htgtgi. Give prob of picking 2 t.
1/15
Two letters picked without replacement from yysy. Give prob of picking 1 s and 1 y.
1/2
Four letters picked without replacement from hhshhshsshsh. What is prob of picking 1 s and 3 h?
35/99
Calculate prob of picking 3 u when three letters picked without replacement from uccuuuyc.
1/14
What is prob of picking 1 u and 1 h when two letters picked without replacement from {u: 6, h: 2, l: 5}?
2/13
Calculate prob of picking 2 a when two letters picked without replacement from {r: 1, q: 1, j: 1, c: 1, a: 2, u: 1}.
1/21
What is prob of picking 2 y and 1 r when three letters picked without replacement from {y: 3, r: 1}?
3/4
Two letters picked without replacement from llllllol. Give prob of picking 1 o and 1 l.
1/4
Two letters picked without replacement from {g: 1, i: 6, e: 4}. Give prob of picking 1 g and 1 e.
4/55
What is prob of picking 1 g, 1 t, and 1 d when three letters picked without replacement from {d: 7, g: 2, t: 1}?
7/60
What is prob of picking 2 f and 1 v when three letters picked without replacement from {f: 1, z: 1, v: 1}?
0
Calculate prob of picking 1 w, 2 s, and 1 d when four letters picked without replacement from {d: 6, w: 3, s: 4}.
108/715
What is prob of picking 2 m and 2 f when four letters picked without replacement from {f: 4, o: 3, n: 7, m: 2, l: 3}?
1/646
Two letters picked without replacement from {j: 6, z: 1, q: 7}. Give prob of picking 1 q and 1 z.
1/13
Four letters picked without replacement from ttpaaatbtptpapy.
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the nearest to 2 in -394, -42.3, 5, -2?
5
Which is the nearest to 1/3? (a) 3/7 (b) -0.3 (c) -1 (d) -1145 (e) -1.6
a
Which is the nearest to 473332? (a) 0.4 (b) 0.2 (c) 0.3
a
Which is the closest to 0.2? (a) 3 (b) 1651827 (c) 0.5 (d) 2/15 (e) 1
d
Which is the closest to 0.1? (a) 1351 (b) -2/101 (c) -0.11 (d) -2/5
b
What is the nearest to -69385 in 16/85, 2, 3?
16/85
What is the closest to -1/4 in -37319, 3, -14/31, 0?
-14/31
Which is the nearest to 2? (a) 10 (b) 0.19 (c) 12.2 (d) -0.5 (e) 2
e
What is the closest to -0.124 in -204/11, 62, -1?
-1
Which is the nearest to -3? (a) -1/4 (b) -2/13 (c) -96.701
a
Which is the closest to -0.16? (a) -25.2 (b) -2 (c) 2/3 (d) -1/5 (e) -0.04
d
Which is the closest to 0.15? (a) -2 (b) 1/4 (c) 98 (d) 0.4 (e) -593 (f) 5
b
Which is the closest to -9? (a) 7/2767 (b) 0.5 (c) -3 (d) 8
c
What is the nearest to 92 in 10, 0.3, 3/53, 1, 5, -1/7?
10
What is the nearest to -18643 in 1, -2, 2, -1, 0, 0.001?
-2
What is the nearest to -2/3 in 4, -13, 557819?
4
Which is the nearest to 14? (a) -1 (b) -0.07 (c) -18 (d) -13
b
Which is the closest to 20378? (a) 1 (b) 0.3 (c) 0.12
a
Which is the nearest to -2.9? (a) 0 (b) -20 (c) -1 (d) 5 (e) -432 (f) 3
c
What is the closest to -1 in -260/3, 649, -1/6, -2?
-1/6
Which is the closest to 0.026? (a) -3/4 (b) -8 (c) -1 (d) 1/15 (e) -10
d
What is the closest to 0 in -4005, -1/8, -1/4, 0.5?
-1/8
Which is the closest to 4553? (a) -1/2 (b) 4/19 (c) -4/7 (d) 0 (e) 10 (f) -0.2
e
What is the closest to -1/5 in 1146, -0.5, 1, -1227, 5?
-0.5
What is the nearest to 2/11 in 0.4, -2, -0.11, 12/5, 71?
0.4
Which is the nearest to -4/11? (a) -0.5 (b) -3/2 (c) 5/19 (d) 4
a
Which is the closest to 16451? (a) 0.2 (b) 2 (c) 8 (d) -3/4 (e) -1/3
c
Which is the nearest to 2/37? (a) 593 (b) 2/35 (c) -0.3 (d) 0 (e) 0.7 (f) 5
b
Which is the nearest to 0? (a) 1 (b) -2/97 (c) -6.3748
b
Which is the nearest to 2? (a) -1 (b) 84/209 (c) 2/37 (d) -4 (e) -5
b
What is the nearest to 0.1 in 62, 223, 1/8, -1.9, -2?
1/8
What is the closest to 24 in 2/9, -1, -0.3, 23, 5/8, -22?
23
Which is the closest to -2? (a) -254/5 (b) 3 (c) -4/3 (d) -47.9
c
Which is the closest to 0? (a) -67/24 (b) -5.535 (c) -2/11
c
What is the closest to 43.6 in 261, 11, 3, -1?
11
What is the nearest to 3 in -5, -2/9, -5972, -25?
-2/9
What is the nearest to 1 in -32/13, -6.891, 9, -0.3, 0.2?
0.2
What is the closest to 1 in 2, -1/8, -1039, 7.4?
2
Which is the closest to 240? (a) 1/4 (b) 5 (c) 2/75 (d) 0.4
b
Which is the nearest to -4? (a) -2 (b) 5/4 (c) -27888 (d) 0.3
a
What is the closest to 1 in 36, -4/53, -4794?
-4/53
Which is the nearest to 311611? (a) -6 (b) -0.35 (c) -4
b
Which is the nearest to -202.6? (a) 149.85 (b) 5 (c) 0.1 (d) -0.2
d
What is the nearest to 0 in 0.008, 4, -2, -3/10, 16/9?
0.008
Which is the nearest to 14.2? (a) -4/3 (b) 2/63 (c) -0.07
b
What is the closest to 0.03 in -6, -3, 228.4?
-3
Which is the nearest to 0? (a) 1.19 (b) 0.5 (c) -41 (d) 0.0429
d
Which is the closest to -8? (a) 430 (b) 3 (c) -2 (d) 0.3 (e) 1/9 (f) -1/45
c
Which is the nearest to -2/7? (a) 5 (b) 54 (c) 4 (d) -2/11 (e) 6/11
d
Which is the closest to 22/19051? (a) -1/5 (b) -5 (c) -1
a
Which is the closest to 2/5? (a) 1 (b) -4/3 (c) -125.5 (d) -0.01 (e) -5 (f) 21
d
Which is the nearest to -0.05312? (a) 2 (b) -1/3 (c) -29/2 (d) -2/5 (e) 5
b
What is the closest to 0.1 in 1150, -5, -7, 197/4, 2/13?
2/13
Which is the closest to 1? (a) 4/3 (b) 0.651 (c) 6 (d) -31 (e) -3 (f) 2/7
a
Which is the closest to -1164909? (a) -4 (b) -2/5 (c) 5
a
What is the closest to 1 in -8, 1/8, 0.098782?
1/8
Which is the nearest to 1/4? (a) -202 (b) 2.9 (c) 2/5
c
Which is the closest to 0.06? (a) 909 (b) 0.3 (c) -0.02
c
What is the closest to 18 in -382, 0.1, -5, -0.21, 1/7?
1/7
What is the nearest to 4 in 0.034, 7.449, 0.3, 1/3, -4?
7.449
What is the nearest to 0.25 in 10, -5, 3/184?
3/184
Which is the nearest to 1? (a) -4/349 (b) 5 (c) 0 (d) -0.1 (e) 3
c
What is the nearest to 0.43 in -24/85, 0.2, 3, -3, -5?
0.2
What is the closest to -5 in -53, 3, -0.5, 726/13?
-0.5
What is the nearest to 0.5 in -5, -0.1, -2/13, -2/79, 3, 12810?
-2/79
What is the nearest to 1623156 in -4/7, -1, 4/3?
4/3
What is the closest to 14 in -3, -95/8, 2?
2
Which is the nearest to -1? (a) -73 (b) -1 (c) -125 (d) 1 (e) 5
b
Which is the closest to 445? (a) -0.002 (b) -0.3 (c) 402
c
Which is the nearest to 15095? (a) -0.2 (b) -6/11 (c) 0.4 (d) 2/167
c
What is the closest to -3 in 52.3, 1/86, -4?
-4
Which is the nearest to -3/809? (a) 2/7 (b) 1/2 (c) -4 (d) 1.7 (e) 2 (f) -0.5
a
What is the nearest to 2 in 0.68, 3, -29856/23?
3
Which is the nearest to -8? (a) -2 (b) 15.3 (c) -32 (d) 1/3
a
What is the closest to -0.2 in -0.2, -15589, 0.1, -3?
-0.2
What is the closest to -13 in -1/3, 3, 51, 49/2?
-1/3
Which is the closest to -2/40999? (a) 0.5 (b) -0.1 (c) 6 (d) -5
b
What is the closest to -12650 in 256, 1/2, -3, 1, -6?
-6
Which is the nearest to 3? (a) -0.2 (b) 12.9 (c) 0.04421
c
What is the closest to -236/9 in -189, -23, 0.4?
-23
Which is the closest to 0.11? (a) -0.4 (b) 3/4 (c) -185/6 (d) -4/7 (e) -5
a
Which is the nearest to 2? (a) -20615 (b) 8 (c) 5
c
Which is the closest to -14? (a) 1/10 (b) 13 (c) -36 (d) 3
a
What is the closest to -66 in 1/255, 0.3, 0.2, 1?
1/255
What is the nearest to 2/2545 in 1/5, -1/9, -4, 4543?
-1/9
What is the closest to -16 in -14/3, 5, -12/17?
-14/3
Which is the nearest to -40500? (a) -8 (b) -3/5 (c) 5
a
Which is the nearest to -5? (a) -2/15 (b) -0.5 (c) -928/7 (d) 0
b
What is the nearest to -0.3 in 5, 49667517, 4?
4
What is the nearest to -137 in 3, -2/11, -156, -0.5, 8?
-156
What is the nearest to -2 in 2/5, -24, -2?
-2
What is the closest to -0.2 in 1, 2/275, 65/239?
2/275
What is the closest to -0.74 in 0.5, -169, 2?
0.5
What is the closest to -2604 in 1.1, 0.4, -2/9, -4?
-4
Which is the nearest to -0.1? (a) -17066 (b) -3 (c) 2769
b
Which is the nearest to 107823? (a) 2/13 (b) -9 (c) 1
c
Which is the nearest to 3? (a) -2/3 (b) -0.49 (c) 0.2 (d) 4/369 (e) -3/4 (f) 9
c
What is the nearest to 2/13 in -0.4, -9, -0.3, -0.25, -5, -39?
-0.25
Which is the closest to 2/5? (a) 3/2 (b) 0 (c) 473 (d) -1/5 (e) -1
b
What is the nearest to -1.5 in 79/4, 4, 1/3, -5, -0.01?
-0.01
Which is the closest to 4? (a) -4/747 (b) 11 (c) 4 (d) 34 (e) 2
c
Which is the nearest to 570? (a) 0.1 (b) 2 (c) 223
c
What is the closest to 0 in -0.284, 0.5, 3.49, 0?
0
What is the closest to 103 in -5, 5, -2/3, -2/17, 483?
5
Which is the nearest to -0.1? (a) -2/11 (b) -8 (c) -213/8 (d) 5 (e) 45
a
What is the closest to 2/3 in 0.2, 1/8, 9, 7, 0.6, 20?
0.6
Which is the closest to -1/18? (a) 53 (b) -4 (c) 0.2227
c
Which is the closest to 2/11? (a) 1/4 (b) -2/9 (c) -1 (d) -298/33 (e) -0.2
a
What is the closest to -0.2 in -3, 0.011, 0.7, 3/7, -64/9?
0.011
Which is the nearest to -28? (a) -5/4 (b) -0.3 (c) -745 (d) 46 (e) -2/3 (f) 2
a
Which is the closest to -1/2? (a) 5384 (b) 0.1 (c) 1552
b
Which is the nearest to -1764? (a) 6/7 (b) -4 (c) 3 (d) 8/35 (e) 4/9 (f) 0
b
Which is the nearest to 1? (a) -2 (b) 2/1031 (c) 842
b
What is the nearest to -1/4 in 4, -167.9, -2/5, 0.2, -4?
-2/5
What is the closest to -202/5 in -2/13, 0, -2/3, -27?
-27
What is the closest to 0.1 in -607, 68, -0.7?
-0.7
What is the closest to 0.1 in 0.5, -0.058, -3, 304?
-0.058
What is the closest to -2/9 in 8, -3/7, -0.3, -2/61, 12, 0.6?
-0.3
Which is the nearest to -6? (a) 0.2 (b) 2 (c) -0.3 (d) 74 (e) -36 (f) -2/7
c
Which is the nearest to -1? (a) -104 (b) -5 (c) 2 (d) -3 (e) -306 (f) 0
f
What is the closest to -6 in -5, -2/17, -0.07, 1153/5?
-5
What is the nearest to -1 in -435987, -3, -28?
-3
Which is the nearest to 15054? (a) 0.2 (b) -3.26 (c) -2/9
a
What is the closest to 0 in -2/9, 1, -78, -53, 8?
-2/9
Which is the nearest to -49? (a) 1 (b) -0.5 (c) 0.8 (d) 13 (e) 1244
b
Which is the closest to -21/4? (a) -5/2 (b) 33 (c) 1 (d) 2
a
What is the nearest to 1 in -3, 52, -1, -4, 227, 0.19?
0.19
Which is the nearest to 648? (a) -3/2 (b) -34 (c) -1 (d) 0
|
{
"pile_set_name": "DM Mathematics"
}
|
Let g(z) = z**2 + 4*z - 5. Let p be g(x). Suppose 3*c - 7 - 122 = p. Is 13 a factor of c?
False
Suppose -3059*r - 1492 = -3060*r. Is 4 a factor of r?
True
Suppose 11*k = -281 + 50. Is 11 a factor of (308/k)/(4/(-6))?
True
Let h(v) = v - 4 + v + 0*v. Let k be h(3). Suppose 5*s - k*s - 63 = 0. Does 7 divide s?
True
Suppose -10 = 5*y - 5*u, -4*u - 7 = y + 5. Let h be ((-6)/y)/((-6)/(-8)). Suppose -5*s - 165 = -2*j, -j + 69 = -0*j + h*s. Does 20 divide j?
False
Suppose -5*v + 64 = -36. Suppose 5*w - 29 + 4 = -4*g, v = 5*g - 5*w. Suppose -5*s = 2*h - 196, 10*s + 5*h = g*s + 190. Is 21 a factor of s?
False
Let x = 61 - 81. Suppose 4*c + 14 = -18. Let f = c - x. Is f a multiple of 12?
True
Suppose 0 = 8*g + 317 - 19973. Is 91 a factor of g?
True
Let d be (-4 + 2 - 7) + 3. Let q be 8 - -6*d/9. Suppose q*o = 4*t - 97 + 13, -85 = -4*t + 3*o. Is t a multiple of 5?
False
Suppose -8*h = -6*h - 328. Is h a multiple of 4?
True
Let z(a) = 3*a - 21. Let l be z(-7). Let t = l - -58. Is 2 a factor of t?
True
Suppose 34 = 2*t - 5*a + 4*a, -38 = -2*t - a. Let b = t + 7. Does 2 divide b?
False
Let m(p) be the second derivative of -p**5/20 - 7*p**4/12 - p**3/6 + 7*p**2/2 - 3*p. Let f = -7 + 0. Is m(f) a multiple of 7?
True
Let w(y) = -13*y**3 - 2*y**2 - 2*y - 2. Let h(t) = -t**3 - t**2 - t - 1. Suppose 2 = 3*b - 16. Let q(z) = b*h(z) - 3*w(z). Is q(1) a multiple of 11?
True
Let h = -2 - -4. Suppose -h*b + 2 = -o - 4, 0 = 5*o - 10. Let n = b + 21. Does 16 divide n?
False
Let b = 27 - -125. Suppose 0*s - 3*s + 178 = 5*v, -5*v - b = -2*s. Is s a multiple of 11?
True
Suppose 2*s = 2*k - 80, -s + 5*s + 82 = 2*k. Let n = 66 - k. Does 9 divide n?
True
Let t = 169 + -102. Suppose -6*m = 7 - t. Is m a multiple of 3?
False
Suppose 84*g + 499 = 85*g + 5*u, -g - 3*u = -501. Does 36 divide g?
True
Suppose 459 = 7*q - 16*q. Is (-2)/(-17) + (-5706)/q a multiple of 26?
False
Suppose 0 = 3*b - 4*o + 581 - 5776, 3440 = 2*b + 2*o. Is b a multiple of 12?
False
Suppose 14*h - 7995 = -2311. Is 58 a factor of h?
True
Suppose 4*g - 6934 = m, 0*g = 2*g + 4*m - 3476. Is 34 a factor of g?
True
Let z(b) = b**3 - 11*b**2 - 17*b - 4. Let l be z(13). Suppose q - l = -14. Is q a multiple of 17?
False
Let l(z) = z**2 - 10*z + 7. Let w(v) = -v**2 - 6*v + 1. Let k be w(-3). Is l(k) even?
False
Suppose -5*t + 4*y - 41 = -7, -2*t = y + 11. Let s = t + 9. Suppose -s*z + 45 = -0*i - i, 0 = -3*i. Is 5 a factor of z?
True
Let k(r) = -r**2 - 1. Let a be k(-4). Let c(u) = -11*u - 20. Let b be c(-5). Let m = b + a. Does 5 divide m?
False
Let j = 266 - -150. Does 13 divide j?
True
Suppose -6*n - 40 = -8*n. Let p be n/(-70) + (-5002)/(-14). Suppose 0 = -4*g - 57 + p. Does 15 divide g?
True
Let n = -29 + 61. Suppose -p = 10 - n. Let q = p - 5. Is 9 a factor of q?
False
Suppose -4*x + 12 + 0 = 0. Suppose -2*z + x*z - 8 = 0. Is z a multiple of 2?
True
Let w = 362 - -29. Is 19 a factor of w?
False
Is 9 a factor of 22/(88/5460) + (-4)/(-1)?
False
Let v(p) = -55*p**2 + 3*p**3 - 1 + 0*p**3 + 56*p**2. Let w be v(-1). Does 23 divide (-410)/(-3) - (-2)/w?
False
Let m = -19 + 21. Suppose 4*k + m*k = 126. Suppose 4*w - 51 = k. Is 6 a factor of w?
True
Let w = -14 - -16. Suppose 3*l = -w*l. Suppose -5*t - 45 + 245 = l. Does 12 divide t?
False
Let v be (-1)/(-2)*(-66 + 18). Let s(l) = -5*l - 24. Is s(v) a multiple of 48?
True
Is ((-35)/(-70))/(((-20)/(-4296))/5) a multiple of 12?
False
Let a be (46 - -1) + (-4)/(-6 - -7). Suppose -2*t = 0, r - t - 3 - a = 0. Does 6 divide r?
False
Suppose -a + 99 = o, a = 4*a + 2*o - 300. Let m = a + -67. Is m a multiple of 10?
False
Let f(k) = 116*k**2 + 12*k - 44. Is 37 a factor of f(3)?
True
Let s = 97 + -58. Let n = 52 - s. Does 3 divide n?
False
Suppose 4*t = 580 + 172. Suppose -3*m + 2*d = -214, 2*d + 93 = 5*m - 265. Suppose t - m = 4*k. Is 12 a factor of k?
False
Let q = 69 - 66. Suppose 5*t - 563 = q*c, -4*t - c + 34 = -413. Is 19 a factor of t?
False
Suppose -19*i + 13*i = -138. Is i even?
False
Let g be (-90)/(-20)*(0 - -2). Let o = g + -11. Let f = 68 + o. Does 19 divide f?
False
Let g = 56 - 56. Suppose 3*o + g*o = 4*j - 560, 5*j = -4*o + 700. Is j a multiple of 28?
True
Let c(y) = y**2 - 3*y - 6. Let q be c(-2). Suppose -398 = -4*o - q*w - 110, -3*o + 3*w + 228 = 0. Is o a multiple of 17?
False
Suppose 4620 = 17*i - 12*i. Does 11 divide i?
True
Suppose 4*l = -4*l + 40. Suppose -116 = o - l*o. Is 29 a factor of o?
True
Suppose -2*t + 5*w + 37 = 0, -4*t + 3*w = -29 - 10. Is 10 a factor of (-2432)/(-57) - (-2)/t?
False
Let i = 39 - 69. Let g = i + 38. Is 15 a factor of ((-32)/g)/(4/(-34))?
False
Let w = -464 + 1331. Is 17 a factor of w?
True
Let u = -11 + 13. Suppose 4*i + r + 17 = 0, -u*i = r + 7 + 2. Is 13 a factor of 13/i*(-9 + 5)?
True
Let k(a) = -2*a + 34. Let d be k(0). Let m = d - 21. Does 12 divide m?
False
Let q(m) = -43*m + 7. Let y be q(-7). Suppose 5*p - y - 77 = 0. Does 8 divide p?
False
Suppose 0 = 13*w - 18*w + 20. Suppose 15 = -3*y, -x = -2*x - w*y - 9. Is 4 a factor of x?
False
Suppose 2564 + 6165 = 29*j. Is j a multiple of 14?
False
Let c = -197 - -587. Is 30 a factor of c?
True
Let s be ((-14)/4)/(-1)*4. Let n(k) be the third derivative of k**4/6 - 14*k**3/3 - 267*k**2. Is n(s) a multiple of 14?
True
Let i = 411 + -187. Is 14 a factor of i?
True
Let o be -1*7/((-21)/618). Let l = o + -42. Let h = l + -114. Is 13 a factor of h?
False
Let w = -70 + 92. Suppose 2*t + 0 = w. Is 10 a factor of t?
False
Suppose 2*s - 7*s + 331 = -f, -2*f = 2*s - 142. Suppose 2*z = -b - 2*b + 119, z - b - s = 0. Suppose 4*t = r + 250 - 8, -z = -t + 2*r. Is t a multiple of 15?
True
Suppose -2*q = 4*g - 20, -4*q + 4*g + 28 = -0*q. Suppose c - 6 - q = 2*l, 5 = -l. Suppose -c*k + 4 = -16. Is k a multiple of 2?
False
Suppose 2*f - 2*h - 112 = 0, -f + 26 = 4*h - 50. Is 2 a factor of f?
True
Let x be ((-3)/6)/(1/(-4)). Suppose -v - v + 52 = -x*s, -50 = 2*s - v. Let b = s + 67. Is 10 a factor of b?
False
Let j(h) = h**3 + h**2 - h + 126. Is j(0) a multiple of 42?
True
Suppose 2*w = 2, -4*d + 2045 = -14*w + 19*w. Does 37 divide d?
False
Let g = -11 + 23. Suppose -g = 4*d, -2*r - 3*r + 44 = 2*d. Is r a multiple of 10?
True
Let g = 14 + -19. Let w(h) = h**3 + 6*h**2 - 5*h. Let m be w(g). Suppose -4*r + m + 70 = 0. Is r a multiple of 10?
True
Is (47 + -1077)*(-4)/10 a multiple of 4?
True
Let w(j) = -j**3 - 7*j**2 + 5*j + 74. Let t(z) = -z**2 + z + 1. Let b(q) = -6*t(q) + w(q). Suppose -4*o + o = 0. Is b(o) a multiple of 23?
False
Let u be (2 + 3 + -4)*0. Suppose 2*d + u*d - 3*q = -45, -4*d + 4*q - 92 = 0. Is d/(-2) - (-44)/22 a multiple of 14?
True
Let m = 82 - 46. Let f = 43 - m. Is f a multiple of 7?
True
Suppose b - 93 = -3. Suppose 0 = d - b. Does 18 divide d?
True
Let f(z) = 5*z**2 + 32*z - 1. Let g(h) = 11*h**2 + 65*h - 4. Let k(s) = 9*f(s) - 4*g(s). Does 22 divide k(-31)?
False
Let c(s) = -s**2 - 2*s + 8. Let x be c(-4). Let h be 1*x*(-5)/15. Is 7 a factor of (-21)/(-2 + 1 + h)?
True
Let j be (-246)/(-22) + (-32)/176. Let t = 20 - j. Does 11 divide 14/(-10)*(t - 19)?
False
Suppose 3*t + t = 8. Let h = 15 + -10. Suppose h*c = -l + t, 5*c - 16 - 8 = -2*l. Is 22 a factor of l?
True
Let q(s) be the second derivative of s**5/20 - s**4 - 10*s**3/3 + 4*s**2 + 39*s. Is q(14) a multiple of 12?
True
Let j(s) = 1166*s**2 + 3*s - 5. Is j(1) a multiple of 12?
True
Let d = -16 - -24. Let p(q) = 24*q**3 - 26*q**3 - q**2 + 7*q - 2 - 3*q**2 + d. Is 14 a factor of p(-4)?
True
Let g(u) = 12*u - 10. Suppose 0 = 4*z - 2*z - 3*x + 3, -z - 3*x + 3 = 0. Let k be 10 + (-3 - 1) + z. Does 10 divide g(k)?
False
Let y(d) = -d**3 + 23*d**2 - 23*d. Is y(10) a multiple of 11?
False
Let b(d) = -d - 1. Let h(n) = 10*n - 8. Let l(g) = -2*b(g) - h(g). Is l(-4) a multiple of 10?
False
Let v = -4 + 80. Suppose -v = -5*h + 429. Is 29 a factor of h?
False
Let u be 6/(12/80*5). Suppose -u*s - 12 = -332. Is s a multiple of 10?
True
Let m = 36 - 31. Suppose 0 = m*c - 5*b - 55, -3*b - 6 = -c + 1. Is c a multiple of 3?
False
Let t(h) = -h + 5. Let o be t(5). Suppose u - 2*p = -o*p + 52, 2*u + 3*p - 104 = 0. Is 4 a factor of u?
True
Suppose -5 = -5*h + 10, -2*h - 69 = -3*i. Let s = 7 - -15. Let t = i + s. Is t a multiple of 10?
False
Let c(p) = -2*p**2 + 10*p + 12. Let n(a) be the first derivative of a**3/3 - 5*a**2 - 12*a + 2. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
x
Let o(q) = -31*q + 7. Let g(j) = 6*j**2. Give g(o(c)).
5766*c**2 - 2604*c + 294
Let j(r) = -201*r + 5. Let s(d) = 80002*d - 1989. Let y(x) = -1989*j(x) - 5*s(x). Let c(o) = 2*o**2. What is y(c(n))?
-442*n**2
Let a(p) = -2*p**2. Let f(h) = -2*h**3 + h**2 + h - 1. Let i be f(1). Let b be (8/12)/(i/(-3)). Let w(c) = 0*c**b - 4*c**2 + 8 - 8. Calculate w(a(l)).
-16*l**4
Let g(j) be the first derivative of 6*j**2 + 15. Let z(u) be the third derivative of 5*u**4/24 + 74*u**2. Calculate z(g(b)).
60*b
Let h(s) = s**2 - 50*s. Let v(j) = -57*j**2. Determine h(v(l)).
3249*l**4 + 2850*l**2
Let g(n) = -16*n**2 + 2. Let w(v) = 3641*v. Calculate w(g(y)).
-58256*y**2 + 7282
Let o(c) be the first derivative of -3*c**2/2 + 6. Let v(m) = 0*m - 11*m - m. Give v(o(s)).
36*s
Let y(b) = -9*b**2 + 530. Let z(x) = 290*x. Give y(z(a)).
-756900*a**2 + 530
Suppose 0 = 3*b + 6, -14 = -5*c + c + 3*b. Let a(p) = 5*p + 9*p**2 - 6*p**2 - 2*p**c + 0*p**2. Let z(l) = 2*l**2. What is z(a(w))?
2*w**4 + 20*w**3 + 50*w**2
Let s(o) = -1. Let h(x) = -2*x + 4. Let a(w) = -h(w) - 4*s(w). Let i = 10 - 5. Let p(r) = -i - 4*r + 5. Calculate a(p(y)).
-8*y
Let v(s) = -3*s + 2. Let f(p) = 10*p - 7. Suppose -4*g + 12 - 4 = 0. Let l(o) = g*f(o) + 7*v(o). Let a(u) = 6 + 14*u + 30 - 36 - 5*u. Give l(a(n)).
-9*n
Let x(j) = 62*j**2 - 1. Let f(b) = 5214*b. Determine x(f(z)).
1685519352*z**2 - 1
Let w(i) = 13*i. Let x(o) = 2*o**2 - o - 1. Let v(q) = 1 + q**2 + 3 + 2 - q - 7. Let y(a) = -v(a) + x(a). Determine w(y(j)).
13*j**2
Let u(n) = -6*n - 2. Let o be u(-3). Let w(c) be the first derivative of -10*c**2 + 9*c**2 + 6 - o. Let x(i) = i. Determine x(w(s)).
-2*s
Let r(i) = -2*i**2. Let w(x) = 2*x. Let y(k) be the third derivative of -3*k**2 - 1/8*k**4 + 0*k**3 + 0*k + 0. Let c(o) = 5*w(o) + 4*y(o). Calculate r(c(f)).
-8*f**2
Let b(f) = -66*f. Let j(d) = -790*d. Let i(z) = -25*b(z) + 2*j(z). Let w(h) = -h**2. What is i(w(y))?
-70*y**2
Let i(z) = 9*z**2 - 8*z**2 + 12*z**2. Let g(h) = 16*h**2 + 11*h**2 - 24*h**2. Calculate i(g(l)).
117*l**4
Let b(n) = -2*n + 0*n + 4*n - 5*n + n. Let h(c) = 57*c - 1. Determine b(h(x)).
-114*x + 2
Let l(z) = -320*z**2 + 196*z**2 + 302*z**2. Let o(t) = 3*t. Give l(o(u)).
1602*u**2
Let y(s) = -s**2. Let w(m) = 14*m**2 + 20*m + 1. Determine w(y(t)).
14*t**4 - 20*t**2 + 1
Let q(p) = p. Let i(m) = 9*m + 51. Let h be i(-5). Let v(k) = -k**2 + 5*k - 4. Let x be v(3). Let b(r) = r - h*r + x*r. What is q(b(z))?
-3*z
Let i(b) = b + 8. Let j(g) = -7*g - 52. Let q(f) = 39*i(f) + 6*j(f). Let p(w) = -15 + 5*w + 15. Determine p(q(z)).
-15*z
Let w(v) = -7*v - 9. Let x(b) = 15*b**2 + 4*b + 4. Let r(f) = 34*f**2 + 9*f + 9. Let d(y) = 4*r(y) - 9*x(y). Determine d(w(z)).
49*z**2 + 126*z + 81
Let a(q) = -67*q. Let n(f) be the first derivative of -2*f**2 - 214. What is a(n(r))?
268*r
Let t be (1/(-2))/((-10)/220). Let g = 13 - t. Let j(h) = -1 - 2 + 3 - 2*h**g. Let l(q) = -7*q**2. What is l(j(i))?
-28*i**4
Let j(m) be the first derivative of 3*m**2/2 - 1. Let s(q) = -q + 65. Let u be s(15). Let r(b) = -u*b**2 + 101*b**2 - 52*b**2. What is r(j(y))?
-9*y**2
Let j(b) = -1. Let k(x) = -x + 3. Let s(i) = -3*j(i) - k(i). Let n(q) = -2*q**2 - 7 + 1 + 0 - 20. Give n(s(l)).
-2*l**2 - 26
Let s(b) = b. Let j(n) = 78549*n. Determine s(j(w)).
78549*w
Let g(f) = 49*f. Let y(i) = 75*i + 107. Give y(g(s)).
3675*s + 107
Let f(k) be the third derivative of k**5/20 - 34*k**2 + 4*k + 2. Let l(i) = -7*i**2 - 2*i + 2*i. What is l(f(a))?
-63*a**4
Let t(q) = -q. Let i(o) = 2*o. Let r(h) = i(h) - t(h). Let s(y) be the third derivative of -y**4/4 - 782*y**2. What is s(r(a))?
-18*a
Let j(h) = 80393*h. Let v(i) = i**2. Calculate j(v(u)).
80393*u**2
Let o(l) = 4*l. Let p(d) = d**2 + 8*d - 3. Let k be p(-9). Let v(m) = -4*m - k*m + 0*m + 4*m. Calculate v(o(g)).
-24*g
Suppose 2*p - 6 = -4*a, -25*a + 2*p - 2 = -27*a. Let j(n) be the second derivative of 2*n + 0*n**3 + 0*n**a + 1/4*n**4 + 0. Let w(z) = -z. Give w(j(m)).
-3*m**2
Let o = 10 + -8. Let i(v) = 3*v + 2*v - 2*v - o*v. Let z(p) = 33*p. What is z(i(h))?
33*h
Let d(t) = -t**2. Let c(b) = 16*b - 1. Let g(l) = -50*l + 4. Let x(k) = 10*c(k) + 3*g(k). What is x(d(o))?
-10*o**2 + 2
Let z(f) = -f. Let g(j) = -18*j - 16. Let v = 33 + -38. Let n(m) = m + 1. Let x(d) = v*g(d) - 80*n(d). Give x(z(k)).
-10*k
Let d(w) = -17*w**2. Let f = 41 + -35. Let i(y) = -3*y + f*y - y. Determine i(d(l)).
-34*l**2
Let s(k) = 57*k**2 - 6*k. Let a(i) = -57*i**2 + 5*i. Let n(o) = 6*a(o) + 5*s(o). Let u(m) = -4*m**2. Determine n(u(z)).
-912*z**4
Let b(s) = -1651*s**2. Let v(h) = -50*h**2. Determine v(b(w)).
-136290050*w**4
Let x = -448 + 448. Let j(q) be the first derivative of -1/3*q**3 + 5 + 0*q + x*q**2. Let b(l) = -l**2. Give b(j(r)).
-r**4
Let r(h) = h. Let m(n) = -42755*n**2 - 3*n - 1. Calculate r(m(o)).
-42755*o**2 - 3*o - 1
Let o(v) = 9*v + 19. Let x(k) = 494 - 979 + 485 + 2*k. Determine x(o(l)).
18*l + 38
Let q(z) be the second derivative of -5*z**3/6 - 42*z - 1. Let y(g) be the first derivative of -4*g**3/3 - 2. Calculate y(q(c)).
-100*c**2
Let p(z) be the third derivative of -z**5/30 + 3*z**2. Suppose -5*y = -y - 280. Let d(g) = -70 + y - g. Give p(d(x)).
-2*x**2
Let u(i) = 3*i**2 + 3*i. Let s(f) = 7*f**2 + 2. Let j(y) = -10*y**2 - 3. Let m(l) = -2*j(l) - 3*s(l). Give m(u(d)).
-9*d**4 - 18*d**3 - 9*d**2
Let z(s) = -2*s. Let k(o) = -27*o**2. Let u(v) = -1054*v**2. Let a(h) = 155*k(h) - 4*u(h). Determine z(a(x)).
-62*x**2
Let k(m) = 1284*m - 17*m**2 - 1284*m. Let h(y) = -3*y**2. Give h(k(u)).
-867*u**4
Let n(l) be the second derivative of l**6/240 + l**4/2 + 23*l. Let k(w) be the third derivative of n(w). Let a(r) = -2*r**2. Give k(a(c)).
-6*c**2
Let i(j) = -5*j**2. Let d(z) be the third derivative of -17*z**4/24 - 73*z**2 - 3. Give d(i(u)).
85*u**2
Let l(d) = 4*d**2. Let t(j) = -335315*j. Give t(l(u)).
-1341260*u**2
Let r(w) = 6*w**2. Let m(v) = v - 91540. Determine m(r(c)).
6*c**2 - 91540
Let r(k) be the first derivative of k**2 + 63 + 3*k**2 - 48 - 55. Let w(l) = -3 + 3 - 2*l. Give w(r(o)).
-16*o
Let h(i) = -8*i**2 - 14*i + 7. Let u(c) = c**2 + 2*c - 1. Let p(l) = 3*h(l) + 21*u(l). Let d(r) = 3*r - 40. Give p(d(x)).
-27*x**2 + 720*x - 4800
Let i(v) = -6*v**2. Let d be ((-68)/20 + 3)/(3/(-15)). Let p(b) = d*b**2 + 43*b - 43*b. Calculate i(p(x)).
-24*x**4
Let j(d) = d**2. Let w(s) = 413441*s. What is w(j(l))?
413441*l**2
Let h(z) = -36*z**2. Let p(c) = c**2 + 2*c + 766. What is p(h(x))?
1296*x**4 - 72*x**2 + 766
Suppose a = -12 + 7. Let b(h) = -2*h. Let x(c) = c. Let u(o) = a*x(o) - 3*b(o). Let s(r) be the third derivative of -r**5/30 - r**2. Calculate u(s(p)).
-2*p**2
Let i(k) be the third derivative of -k**5/60 - k**2. Suppose -4*c + 15 + 55 = -3*t, -5*c + 4*t = -88. Let l(y) = 5*y**2 - c*y**2 + 16*y**2. What is l(i(j))?
5*j**4
Let m(a) = -2*a. Let o(k) = -1. Let z(i) = 22*i + 1. Let f(t) = -4*o(t) - z(t). Calculate m(f(l)).
44*l - 6
Let u(c) = 3*c. Let a(v) = 145*v**2 - 2*v + 2. Let p be a(1). Let r(s) = -p + 145 - s. Calculate r(u(w)).
-3*w
Let i(o) = -305*o**2. Let a(m) = -12*m - 18. Let k(u) = -5*u - 8. Let t(b) = 4*a(b) - 9*k(b). Give t(i(p)).
915*p**2
Let i(a) = -7*a. Let x(n) be the first derivative of 21 + 0*n**2 - 4/3*n**3 + 0*n. Calculate x(i(s)).
-196*s**2
Let m(i) = 5*i. Let a(c) = 43111*c**2 - c. Give a(m(x)).
1077775*x**2 - 5*x
Let j(m) = -2*m. Let n(x) = 31847*x. Give j(n(q)).
-63694*q
Let h(v) = v + 1. Let l(t) = 1. Let q(b) = -4*b - 2. Let k(f) = -3*l(f) + q(f). Let r(g) = 5*h(g) + k(g). Let d(u) = 7*u. Give d(r(y)).
7*y
Let g(r) = 11*r**2. Let u(c) = -14382*c. What is g(u(f))?
2275261164*f**2
Let s(h) = -24*h + 75*h - 52*h. Let q(j) = 9*j**2 + 7*j. What is s(q(g))?
-9*g**2 - 7*g
Let b(d) = d**3 - 8*d**2 - d + 14. Let o be b(8). Let j(v) = -2*v + o*v - 2*v. Let x(u) = 82*u. What is j(x(r))?
164*r
Let q(j) = j**2 - 2*j**2 + 3*j**2. Let u(x) be the third derivative of 5*x**2 + 0 + 0*x**3 + 0*x + 1/24*x**4. Calculate q(u(y)).
2*y**2
Let v(c) = -c. Let b(f) = 7*f**2 + 6*f - 9. Let t(s) = 8*s**2 + 5*s - 9. Let l(z) = 5*b(z) - 6*t(z). Let m(i) be the first derivative of l(i). Give m(v(h)).
26*h
Let n(j) = -221*j**2. Let y(s) be the first derivative of -s**3 + 331. Give n(y(v)).
-1989*v**4
Let x(r) = 53*r**2 + 66*r**2 - 103*r**2. Let b(q) = 2*q**2 + 5*q. Let k(h) = h**2
|
{
"pile_set_name": "DM Mathematics"
}
|
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