text stringlengths 1.4k 8.19k | meta dict |
|---|---|
plify (n/n**22)**(-1/13) assuming n is positive.
n**(21/13)
Simplify (f/((f*((f*f**(-2))/f)/f*f*f)/f*f*f)*f**(-2/13))/(f*f**0)**(20/9) assuming f is positive.
f**(-278/117)
Simplify l**29*l**(4/5) assuming l is positive.
l**(149/5)
Simplify h**(-9/5)*((h*h**(-1/46))/h)/h assuming h is positive.
h**(-649/230)
Simplify (... | {
"pile_set_name": "DM Mathematics"
} |
t**(-1/4)*t*t)/t)/t)))/(t**5*t**(-2)))/(((t/t**(2/9)*t)/((t*t**1)/t))/(t**(5/6)/t**(-2))) assuming t is positive.
t**(209/36)
Simplify ((k/(k**4*k))/(k/(k*k/(k/((k/k**(-6))/k)))))/((k**(2/7)*k)/k*k*(k/(k**(1/4)*k))/k*k)*(k*k**(-2))**23*(k*k*k**(1/4)/k*k*k)**25 assuming k is positive.
k**(829/14)
Simplify (i**2)**(-37)/... | {
"pile_set_name": "DM Mathematics"
} |
hat is k?
0, 2, 35
Determine r so that 3*r**3/4 - 33*r**2/4 + 93*r/4 - 63/4 = 0.
1, 3, 7
Let -3*r**4/11 - 58*r**3/11 - 316*r**2/11 - 342*r/11 - 81/11 = 0. What is r?
-9, -1, -1/3
Let -2*g**5/7 - 10*g**4/7 + 12*g**3/7 = 0. Calculate g.
-6, 0, 1
Factor c**2 - c - 6.
(c - 3)*(c + 2)
Determine y, given that 6*y**4 - 44*y**... | {
"pile_set_name": "DM Mathematics"
} |
18
Let q(n) = -n**3 + 7*n**2 + 6*n - 5. Suppose 11*y = 16*y - 25. Let u be q(y). Calculate the highest common factor of 25 and u.
25
Suppose -3*v - 38 = 1. Let f = v + 28. Suppose 8*d + 105 = f*d. What is the highest common divisor of d and 30?
15
Let b be 285 + 4 + (-14 - -21). What is the highest common factor of b ... | {
"pile_set_name": "DM Mathematics"
} |
f - 1293732 = 0.
-33, -9, -1
Factor x**2/5 - x/5 - 12/5.
(x - 4)*(x + 3)/5
Find i, given that 5*i**5 - 70*i**4 + 360*i**3 - 880*i**2 + 1040*i - 480 = 0.
2, 6
Factor 3*n**4 + 39*n**3 + 141*n**2 + 177*n + 72.
3*(n + 1)**2*(n + 3)*(n + 8)
Factor 290*z**2/9 + 32*z/3 - 8/9.
2*(5*z + 2)*(29*z - 2)/9
Let 2*t**3 - 34*t**2 + 12... | {
"pile_set_name": "DM Mathematics"
} |
/8. Let w = r + 13. Calculate the remainder when z(2) is divided by w.
1
Let o = -28 - -47. What is the remainder when 56 is divided by o?
18
Let j = -39 + 70. What is the remainder when 121 is divided by j?
28
Suppose 0*a = -5*a + 20, 0 = -4*l + 4*a + 16. Calculate the remainder when 21 is divided by l.
5
Let o be ((-... | {
"pile_set_name": "DM Mathematics"
} |
8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number?
True
Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number?
True
Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite numbe... | {
"pile_set_name": "DM Mathematics"
} |
*p**2 + 3*p + 39. Calculate the remainder when m(c) is divided by 7.
4
Let r(o) = 14*o - 177. Calculate the remainder when r(16) is divided by 12.
11
Calculate the remainder when (6/24)/(1/104) is divided by 21.
5
Suppose 9*v + 10 = 4*v. Let t(n) be the second derivative of n**4/3 - 5*n**3/6 - n**2 + 2*n. What is the r... | {
"pile_set_name": "DM Mathematics"
} |
(9/(-20)). Is d <= -3?
False
Let x(n) = -2*n + 1. Let t be x(-2). Suppose -d - 4*v = t, -v - 6 = d + 4*v. Let b = d + 2. Are 0.03 and b non-equal?
True
Let a = 47/84 - -4/21. Let l = 32 - 31. Is a greater than or equal to l?
False
Let x = -11.5 - 36.5. Let b = x - -49.9. Let w = -2 + b. Which is smaller: -0.4 or w?
-0.... | {
"pile_set_name": "DM Mathematics"
} |
(h) = -3*h**2 + 15*h + 6. Let w(f) = 3*g(f) - 2*l(f). What are the prime factors of w(17)?
2, 3
Let c = 4 - -8. Suppose 0 = f - 16 - c. Let g = 39 - f. What are the prime factors of g?
11
Let l(z) = z**3 - 11*z**2 - z + 13. Let u be l(11). Let g be 1 + -1 + (40 - u). Suppose 8 = 4*j, 4*f + j = -0*j + g. What are the pr... | {
"pile_set_name": "DM Mathematics"
} |
11/3 = 0?
-1/14, 22
Factor 4*g**3/5 - 1188*g**2/5 + 89964*g/5 - 259308/5.
4*(g - 147)**2*(g - 3)/5
Factor -2*s**3 - 1164*s**2 + 2334*s - 1168.
-2*(s - 1)**2*(s + 584)
Let 4*s**4 + 408*s**3 + 804*s**2 + 400*s = 0. What is s?
-100, -1, 0
Factor -2*b**2/3 - 88*b/3 + 30.
-2*(b - 1)*(b + 45)/3
Factor 2*q**5/13 - 270*q**3/13... | {
"pile_set_name": "DM Mathematics"
} |
d(4). Which is the nearest to p? (a) v (b) -2 (c) j
c
Let w = -10 - -10.2. Let s = w + -10.2. Let l = s - -10.2. Which is the nearest to 2/9? (a) l (b) -4 (c) -1
a
Let h = -3 + 4. Let q be 3 + (-9)/6*2. Which is the nearest to q? (a) h (b) -5/4 (c) 4/3
a
Let w = -1.1 + 5.1. Let j = -13.93 - -14. Let f = -0.13... | {
"pile_set_name": "DM Mathematics"
} |
nd t?
17
Let g be (-4)/2 - 1*10. Let u be (1*9)/(g/(-72)). Calculate the highest common divisor of 6 and u.
6
Let f be ((-34)/8)/(55/(-440)). Calculate the greatest common divisor of f and 374.
34
Suppose v + 5*i = 3*i - 272, v = -3*i - 271. Let p be 36/(-306) - v/17. What is the highest common divisor of 40 and p?
8
S... | {
"pile_set_name": "DM Mathematics"
} |
ppose 53*b - 57*b + 2*u + 620 = 0, -b = -2*u - 161. What is the remainder when 747 is divided by b?
135
Let c = -248 - -422. What is the remainder when (1 - (-4)/(-6))/(2/c) is divided by -1 + 7 + 2/1?
5
Suppose 0 = 146*o - 1549 - 2023 - 516. What is the remainder when 189 is divided by o?
21
Let f = 969 + -846. Calcul... | {
"pile_set_name": "DM Mathematics"
} |
1, 2
Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n.
-4*f*(f - 1)**3*(f + 1)
Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4.
2*n*(n - 1)**3*(n + 2)/3
Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y*... | {
"pile_set_name": "DM Mathematics"
} |
test common factor of i and j?
27
Let h = 15 + -41. Let y be (-273)/h*(-2)/(-3). Calculate the greatest common divisor of y and 77.
7
Suppose 1236 = -2*z + 4*x, -x - 1845 = 3*z + 2*x. Let r be z/(-63) + (-6)/(-27). What is the greatest common divisor of r and 90?
10
Let f(d) = d**2 + 12*d - 18. Let k be f(-14). What is... | {
"pile_set_name": "DM Mathematics"
} |
arest to -2/7? (a) -0.1 (b) z (c) -0.2
c
Suppose -5*m = 0, -2*u - 2*u + 2*m = 0. Let i = -2 + 2. Let q = 1.8 - -0.2. Which is the nearest to i? (a) q (b) 0.2 (c) u
c
Let y = 10 - 10. Let c(r) = r**2 - 4*r + 4. Let n be c(3). Let g be 2/(2 + 16/(-10)). What is the nearest to y in n, g, -0.3?
-0.3
Let w = 10.89 + -... | {
"pile_set_name": "DM Mathematics"
} |
the units digit of s?
8
Let o = 247 - 140. What is the hundreds digit of o?
1
Suppose -m - 560 = -5*q - 6*m, -4*q = -4*m - 472. What is the units digit of q?
5
Suppose 7*g = 4*g + s + 14, -2*g + 3*s = -14. Let t(j) = j - 2. What is the units digit of t(g)?
2
Suppose -6 - 394 = -4*z. What is the tens digit of z?
0
Let ... | {
"pile_set_name": "DM Mathematics"
} |
ssuming d is positive.
d**(252/17)
Simplify ((s*(s**(-8)*s*s)/s*s)/(s*s*s**(1/5)*s))**(17/5) assuming s is positive.
s**(-697/25)
Simplify ((q/q**(-1))**(-22)*(q*q/(q/(q/(q*q/(q*q**1/q)*q)*q)))/q**(-3))**(-44) assuming q is positive.
q**1760
Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive... | {
"pile_set_name": "DM Mathematics"
} |
) 0.4 (c) -2/7 (d) 1/4
a
Suppose -3 = m + 2*v, 5*m + 25 = 2*m - 2*v. Let p = 2.41 + -2.11. Which is the closest to p? (a) m (b) 1 (c) -2/3 (d) 3
b
Suppose -19*y + 17*y = 508. Let d be (2/12*-1)/((-1)/y). Let z = d - -42. Which is the closest to z? (a) -0.4 (b) 11/5 (c) -5
a
Let n = -3611/2410 - 2/1205. What is... | {
"pile_set_name": "DM Mathematics"
} |
-28307.2 - -28307. Let l = 0.2 + -0.3. What is the third smallest value in 0.3, 0.9, u, l?
0.3
Let s = -4744 - -4745.2. Let m = 0.54 - 0.04. Which is the second biggest value? (a) m (b) s (c) -0.1 (d) -4
a
Let u = 57.812 - 58.212. Let w be 6 - 0 - (-2)/(-2). Let l be (-10)/6*2/w. What is the fourth biggest value i... | {
"pile_set_name": "DM Mathematics"
} |
*p + 12. Solve -t - 1 = -w for t.
2
Let q be 148/12 - (-1)/(-3). Let z = q + -7. Solve 0 = -z*b - 0*b for b.
0
Suppose -6 = -5*r + v, 1 = -4*r - 6*v + v. Suppose a + 2 = -4*b, 0*a - 5*a - 5*b + 20 = 0. Solve r = y + a for y.
-5
Let f be (-1 + 1)/(0 - 1). Suppose f = -a - a. Solve 0 = w - 5 - a for w.
5
Suppose 0 = -3*n... | {
"pile_set_name": "DM Mathematics"
} |
s digit of a?
8
Let x(c) = c**2 + 34*c + 206. What is the units digit of x(-29)?
1
Let f be (2536/16)/(2/4). Suppose 5*a - 315 = -5*v, -4*a = -4*v + f - 97. Let q = 37 + v. What is the tens digit of q?
9
Suppose -k - 4 = -x, 20 = 5*x + k - 4*k. What is the hundreds digit of 740/x + 2 - -3?
1
Let y(r) = 32*r**2 + r + 6 ... | {
"pile_set_name": "DM Mathematics"
} |
5
Evaluate ((-18)/30)/((-36)/30)*-8.
-4
What is the value of (((-126)/(-27))/14)/((-1)/3)?
-1
What is (-20)/5*((-12)/2)/12?
2
Calculate (3*(-1)/(-9))/((-2)/18).
-3
Evaluate (6/((-12)/(-5)))/5*10.
5
What is 9/(-14)*20/30?
-3/7
Evaluate 4/(144/20)*12/10.
2/3
What is ((0/7)/5)/(1/1)?
0
What is 95/(-266)*8/10?
-2/7
Calcula... | {
"pile_set_name": "DM Mathematics"
} |
) = 2*u - 9. Let c be w(7). Suppose -h + 2*h + c = 0, -24 = -a + 4*h. What are the prime factors of a?
2
Let s be -3 - -3 - 5*1. Let h be 3/s + (-23)/(-5). Suppose h*i + i = 35. List the prime factors of i.
7
Suppose -u - 3*u = -20. Suppose -4*s - 17 = 5*z - 5, 0 = u*s + 5*z + 10. What are the prime factors of s?
2
Sup... | {
"pile_set_name": "DM Mathematics"
} |
when c is divided by 15.
12
Let d = 1 - -10. What is the remainder when d is divided by 8?
3
Suppose n + 120 = 3*o - 271, 0 = -2*n + 4. What is the remainder when o is divided by 33?
32
Let l be 2/(-10) - 4/(-20). Let m(g) = g + 12. Let f be m(-6). Suppose 4*c + f - 22 = l. Calculate the remainder when c is divided by ... | {
"pile_set_name": "DM Mathematics"
} |
+ a/(-14). Suppose -k*o = 1 - 10. Which is bigger: o or -2/17?
o
Let y(n) = -n**3 - n**2 + 4*n - 1. Let x be y(-3). Suppose -x*u = 2*u. Suppose u = 4*w - 21 - 7. Is 4 less than or equal to w?
True
Let c be (-69)/(-138) - (-1 - (-2 - 447/(-1446))). Which is smaller: 0 or c?
c
Suppose 5*c + s + 730 = 0, 2*c = 10*s - 9*s ... | {
"pile_set_name": "DM Mathematics"
} |
me?
False
Let z = 8 + -15. Is (-256 - z)/(-1 - (1 + -1)) a prime number?
False
Let y(k) = 1821*k**2 + 5*k + 39. Is y(-3) prime?
False
Let q(k) = k**2 - 10*k + 6. Let l be q(11). Let c = 19 - l. Is (c + -2)/(-3) + 177 composite?
True
Is ((-148311)/108)/((-3)/4) prime?
True
Let z(b) be the second derivative of 5*b**4/8 +... | {
"pile_set_name": "DM Mathematics"
} |
t for q.
-1
Suppose -12 = 2*i + 4*y, -3*i + 2*y = -8*i + 10. Suppose -1593*l + i = -1592*l. Solve -5*k - 13 = l*b, -2*k - 5*b = -0*b + 12 for k.
-1
Let d(a) = a**2 + 8*a + 18. Let o = -62 + 72. Suppose -p - o = p. Let z be d(p). Solve -s - z*s = -5*h - 3, -5*h - 4*s = 27 for h.
-3
Suppose 4*k = -20 + 4. Let h be k*(-10... | {
"pile_set_name": "DM Mathematics"
} |
+ v - 1. Let y be u(p). Suppose -4*d + 98 = 2*w, -3*d = -3*w - 2*w - y. Does 15 divide d?
False
Let p(j) = 7*j**2 - j + 2. Let x be p(1). Let r be (-1)/(x/(-1950)) - (-3)/12. Let w = 420 - r. Does 22 divide w?
True
Suppose -2730*q - 70268 = -2732*q - 4*b, -5*q - 3*b + 175628 = 0. Is q a multiple of 17?
True
Let p be (3... | {
"pile_set_name": "DM Mathematics"
} |
64
Simplify (-2*(-2 + sqrt(3)*-3) + (sqrt(108)/sqrt(3))/sqrt(12) + -5)**2.
-14*sqrt(3) + 148
Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2).
-1585 + 8*sqrt(5)
Simplify (-5*1*(sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)) - sqrt(133)))/(2*sqrt(77)/(sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
rt(468))) + 1)**2.
168*sqrt(13) + 1921
Simplify (6*(sqrt(15) + sqrt(30)/sqrt(2)))/(sqrt(30)/(sqrt(12)/sqrt(2))).
12*sqrt(3)
Simplify sqrt(1008)*4 + -2 - ((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + sqrt(1008))**2) + 0).
36*sqrt(7) + 9070
Simplify (-5 + sqrt(425) + sqrt(17) + sqrt(17) + (-1*sqrt(204))/sqrt(12) - (sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
-3*u + s - 26 = 0. Is z + 6 + (u - -9) a multiple of 5?
False
Let f(v) = -25*v - 7. Does 21 divide f(-7)?
True
Let u(m) = 11*m**3 - 4*m + 1. Let w(j) = -21*j**3 + 7*j - 2. Let t(h) = 11*u(h) + 6*w(h). Is 6 a factor of t(-1)?
True
Suppose 5 = 5*z, -138 = 4*w + 3*z + 95. Let v = w + 159. Is 11 a factor of v?
False
Let n... | {
"pile_set_name": "DM Mathematics"
} |
)*-5)**2*4.
300
Simplify (sqrt(60)/(sqrt(120)/(sqrt(10) - (sqrt(40)/sqrt(4) - sqrt(10)))))**2.
5
Simplify -2 + (sqrt(11) + -2)*-3.
-3*sqrt(11) + 4
Simplify sqrt(17)*-1 + 5 - (sqrt(68) + sqrt(17) - sqrt(17))*-4.
5 + 7*sqrt(17)
Simplify (((sqrt(156) + (sqrt(156) - -1*sqrt(156)))*-3 - sqrt(156) - sqrt(156)) + sqrt(156) + ... | {
"pile_set_name": "DM Mathematics"
} |
2 - 2*x - 20. Let g(v) = -3*c(v) - 5*q(v). Is 5 a factor of g(5)?
True
Does 37 divide 3/(-1*3*(-1)/74)?
True
Suppose 5*a + 10 = 10*a. Suppose a*r = r + 114. Is 19 a factor of r?
True
Is (-3734)/(-18) - 32/72 a multiple of 9?
True
Let h(l) = -4*l**2 - 8*l + 6*l**2 + 8 - 3*l**2 + 2*l**2. Is 8 a factor of h(8)?
True
Does ... | {
"pile_set_name": "DM Mathematics"
} |
j - 7, a = -4*f + 3*j + 13. Calculate the remainder when 18 is divided by f.
2
Let h(n) be the first derivative of n**4/4 - 8*n**3/3 + 4*n**2 - 8*n + 20. Let r be h(7). Let f = 14 - r. What is the remainder when 72 is divided by f?
12
Let z(f) = 5*f**2 - 678*f - 254. Suppose 0*h - 2191 = -4*h - 5*y, -5*h + 2760 = 2*y.... | {
"pile_set_name": "DM Mathematics"
} |
1/2))/h*h)**(10/7) assuming h is positive.
h**(-31/63)
Simplify ((h**(-1/5))**(-4/15)/((h*h**(-13/3))/(h*h*h**(-9))))**(-37) assuming h is positive.
h**(10027/75)
Simplify h**(3/7)/(h*h*h**7)*(h**(-1/2)/h)**(-45)*((h/(h/h**(-2/5)))/h**(-7))/(h**2/((h**(3/8)*h)/h)) assuming h is positive.
h**(17893/280)
Simplify ((i**(-... | {
"pile_set_name": "DM Mathematics"
} |
+ 2 = -2*l. Let t = 5 + l. Solve 0 = -5*v + t*v for v.
0
Let v(g) = -3*g - 6. Let j be v(-4). Solve -j*o = -3*o + 15 for o.
-5
Let i be -2 + 0 - (3 + -1). Let d be i/(-2 + 4/3). Suppose 3 = 5*p - 7. Solve w = -p*w + d for w.
2
Let r be 4/(12/(-15)) + 2. Let f be ((-2)/3)/(2/(-3)). Let a = f - r. Solve 0 = -a*k + 2 + 2 ... | {
"pile_set_name": "DM Mathematics"
} |
be s(15). Suppose 6*r + 1314 = n. Round r to the nearest ten.
-140
Let k = 1262064709 + -1262051054.955845. Let p = k - 13654. Let t = p + -0.044. Round t to five dps.
0.00016
Let f = 447.586 - 448. Let q = -0.41399668 - f. Round q to 6 dps.
0.000003
Suppose 2*v + 4501 = -5*z, 11*v - 10*v + 2288 = 5*z. Let h be -3 - (... | {
"pile_set_name": "DM Mathematics"
} |
133))/sqrt(7) - 2*sqrt(304))**2.
-7296
Simplify (-4*sqrt(816))/(sqrt(3) + sqrt(9)/(sqrt(12)/sqrt(4))) + -4.
-8*sqrt(17) - 4
Simplify (-3 + sqrt(243)*2 + 2)**2 + 1 + sqrt(48) + 3 + sqrt(30)/(2*sqrt(10)).
-63*sqrt(3)/2 + 977
Simplify ((sqrt(187) - (sqrt(187) + sqrt(187) + -1*(sqrt(187) + 1*sqrt(187))))/((-1*sqrt(88))/sqr... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 0 + 6/5*d = 0.
0, 1, 2
Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0.
-1, 2/7, 1
Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h.
-1, 0, 1/2, 6/5
Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z... | {
"pile_set_name": "DM Mathematics"
} |
e the prime factors of b(1)?
3, 1787
Suppose 45*h = -21*h + 91*h - 268725. List the prime factors of h.
3, 3583
Suppose -o - 4 = 0, -2*h + 232 = -o + 16. Suppose -t - 6 = t, q - h = -5*t. List the prime factors of q.
11
Let c(k) = -19*k**3 - 9*k**2 - 9*k - 19. Let b be c(-6). Suppose -6*u = -1711 - b. List the prime fa... | {
"pile_set_name": "DM Mathematics"
} |
s digit of q/(-3) - (-172)/12*7?
1
Let n be (-7 + 8)*(18/2)/1. Suppose 0 = n*o - 8*o + 4*u - 378, 0 = -5*u - 15. What is the units digit of o?
0
Let h be (-36)/(-17) + (-12)/102. Suppose -2*i + 2*u + 28 = 0, -h*i = -6*i - 2*u + 86. Suppose 5*x + i - 209 = 0. What is the tens digit of x?
3
Let c(y) be the first derivati... | {
"pile_set_name": "DM Mathematics"
} |
z + n*z**2 + y = 0 for z.
7
Let q(o) be the second derivative of -o**7/273 + 11*o**6/195 - 21*o**5/65 + 34*o**4/39 - 40*o**3/39 - 316*o. Find i, given that q(i) = 0.
0, 2, 5
Let d(z) be the second derivative of -1/231*z**7 + 3/11*z**4 - 4/165*z**6 + 0*z**2 + 3/110*z**5 + 0 + 0*z**3 + 47*z. Factor d(n).
-2*n**2*(n - 2)*... | {
"pile_set_name": "DM Mathematics"
} |
). Calculate the greatest common factor of o and 14.
2
Let b = -30 + 9. Let v = b - -24. Suppose -3*p - 192 = -3*a, 4*a + v*p - 2 = 289. Calculate the highest common divisor of a and 23.
23
Let c(g) = 116*g + 3. Let r be c(1). Calculate the highest common factor of 7 and r.
7
Let u(w) = 12*w**2 - 29*w + 33. Let p be u(... | {
"pile_set_name": "DM Mathematics"
} |
9 = 3*s + 352. Calculate the common denominator of 5/20 + (-11)/(-1) and l/(-22)*(-6)/12.
44
Let t be (3 - (-50)/(-15))*0/2. What is the common denominator of (-3)/(-9) - (543/(-342) + t) and 23/8?
152
Let m be 1 + (-7812)/(-15) + -1. Let r = -36711/70 + m. What is the common denominator of 17/10 and r?
70
Suppose 2*s ... | {
"pile_set_name": "DM Mathematics"
} |
e factors of y.
11, 43
Let s = -597 + 289. Let x = s + 456. Suppose -x*r = -152*r + 1020. List the prime factors of r.
3, 5, 17
Suppose -77*b = -81*b - 32. Let n(h) = h**3 + 10*h**2 + 9*h + 17. Let o be n(b). Suppose 4*x - o - 350 = 3*j, 4*j = 4*x - 420. What are the prime factors of x?
2, 3
Let w(a) = -47*a + 262. Let... | {
"pile_set_name": "DM Mathematics"
} |
= 25 - 11. Let y be 30/(-8 + 5 - -1)*-1. Does f = y?
False
Let l be 2/3*3/(-2). Let q = 7 + l. Let t be 1*1*q/(-2). Which is smaller: -1 or t?
t
Suppose 3*l + 9 - 3 = 0. Let m = 1 - l. Let n be 2/(2 + (-3)/m). Is n less than 2?
False
Suppose -3*n = 5*h - 45, 5*h - 2*h = -4*n + 38. Let s be (20/(-12))/((-8)/h). Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(7) + 0)**2 + 1 + 0 + sqrt(175).
-186 + 5*sqrt(7)
Simplify (sqrt(2450) - sqrt(2450)*-4)/(-4*sqrt(40)) + 3.
-35*sqrt(5)/8 + 3
Simplify (sqrt(11) + sqrt(11) + (sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(22)/sqrt(2))))**2 + -5)*-1 + ((-5 + -2*sqrt(11) - sqrt(11))*-5)**2.
748*sqrt(11) + 3105
Simplify (-1*sqrt(425) - (2*... | {
"pile_set_name": "DM Mathematics"
} |
6*z - 119. Let j be q(22). Give s(j).
9
Let y(r) = 2*r**2 - 13*r + 10. Suppose 4*v - 3*w = 31, 23*w - 22*w = 2*v - 15. Give y(v).
17
Let h(c) = -2*c**2 + 3*c + 3. Let o(z) = -z**2 - 18*z + 90. Let v be o(-22). Let r be (-8)/(-12)*-2*3/v. What is h(r)?
-11
Let a(x) = x**2 + 11*x - 126. Suppose -6*j - 73*j - 64*j = 2717.... | {
"pile_set_name": "DM Mathematics"
} |
(3)))**2 - (sqrt(110)*2)/sqrt(10))).
70/9
Simplify (-1*sqrt(2736) + 0 + 2 - (2*(-1 + sqrt(2736)) + sqrt(2736))*-3)**2*-6*-2 + -2.
-9216*sqrt(19) + 2101438
Simplify (0 + -6*(sqrt(143)/(sqrt(99)/sqrt(441)) + (sqrt(143) - (sqrt(143) + sqrt(143)*3 + sqrt(143)))/sqrt(11) + -4))**2 + -1.
-864*sqrt(13) + 4787
Simplify (3*(sqr... | {
"pile_set_name": "DM Mathematics"
} |
-72)*15?
25
15*(-4*3/12)/(-3)
5
Calculate (-265)/53*24/(-11)*66/440.
18/11
Calculate ((-50)/375)/(1*32/(-200)).
5/6
((-65)/(-3380))/((-16)/(-32))
1/26
Calculate ((-9)/6)/((-4)/256*-40).
-12/5
Calculate (956/15057)/((24/(-7))/4).
-2/27
What is the value of 12/9*((-2)/4)/(560/224)?
-4/15
Calculate 4*(-102)/340*(-5)/(-6)*... | {
"pile_set_name": "DM Mathematics"
} |
is ((-1)/(-20))/((-10)/(-80)*1)?
2/5
What is the value of ((-1)/(-6))/((810/(-30))/405)?
-5/2
Evaluate 28*((-287)/(-84))/41*3.
7
Calculate 2296/(-410)*30/(-192).
7/8
What is the value of (-24)/(-54)*-27*5/30?
-2
What is ((-111)/148)/((495/3)/5)?
-1/44
What is (((-1)/(-3))/((-6)/(-126)))/1?
7
What is the value of 6/(-18... | {
"pile_set_name": "DM Mathematics"
} |
(8))**2 - (-3*(sqrt(55)/sqrt(5) + 2))**2)*1.
-36*sqrt(11) - 91
Simplify ((sqrt(80) + 2 + -2 - sqrt(80) - ((sqrt(80) - (-5*(sqrt(80)*2 + sqrt(80) + sqrt(80)) + sqrt(80))) + sqrt(80) + sqrt(80))) + 5)**2.
-880*sqrt(5) + 38745
Simplify 2*4*(5 + -1*sqrt(1216)).
-64*sqrt(19) + 40
Simplify (-4*(-4 + -4*(sqrt(33)/(sqrt(6)/sqr... | {
"pile_set_name": "DM Mathematics"
} |
.
2, 813
What is q in -4*q**3/5 + 16*q**2/5 + 48*q/5 = 0?
-2, 0, 6
Let -4*o**5 + 28*o**4 - 8*o**3 - 112*o**2 + 96*o = 0. What is o?
-2, 0, 1, 2, 6
Determine p, given that 2*p**2 + 28*p + 48 = 0.
-12, -2
Factor -20*r**3/3 + 1282*r**2/3 - 20608*r/3 + 2048/3.
-2*(r - 32)**2*(10*r - 1)/3
Determine b so that 31*b**3 + 33*b*... | {
"pile_set_name": "DM Mathematics"
} |
i. Let m = -1/83 - 325/581. What is the second biggest value in m, 2/9, d?
2/9
Let v = 2.886 - -0.114. Which is the third smallest value? (a) 1/6 (b) v (c) -0.1 (d) -0.3
a
Let j be 866/4 - 9/6. Let k = -3223/15 + j. Which is the smallest value? (a) k (b) 2 (c) -3/4
c
Let s = -0.3 - -0.1. What is the smallest val... | {
"pile_set_name": "DM Mathematics"
} |
1. Let y be ((-1)/1)/(2 + h). Which is smaller: y or 3/4?
3/4
Let l = 130 - 136.1. Let x = -6 - l. Let i = 0.1 - 1.1. Which is greater: x or i?
x
Let f be ((-2)/(-4))/((-2)/68). Suppose -3*s + 42 = 4*q, 0 = -3*q + s + 17 + 21. Let u = q + f. Which is smaller: -6 or u?
-6
Let s = -1 - -3. Is -0.5 bigger than s?
False
Su... | {
"pile_set_name": "DM Mathematics"
} |
it of 4 + (-4 - -234 - -2)?
6
Suppose 4*d - 79 = -5*i, i = 2*d - 0*d + 27. Suppose 5*z + 8 = 2*k + 3*z, 0 = -4*k + 5*z + i. What is the units digit of k?
1
Let a be (-1)/(-2) + (-92)/(-8). Suppose 0 = -3*d + a + 24. What is the tens digit of d?
1
Suppose 0*t + 10 = -4*t + 2*g, -g = -t - 1. What is the units digit of 6 ... | {
"pile_set_name": "DM Mathematics"
} |
3132 = -166*d + 2844. Let u(p) = p**2 - 39*p + 93. Calculate u(d).
-15
Let v be (127/(-127))/((-4)/(-14))*24/42. Let q(a) = a**2 - 4*a + 3. Let k be q(4). Let p(m) = m**3 - 3*m**k + 1 - 3*m**2 + m**3. Determine p(v).
-3
Let l(b) = -b**2 + 11. Suppose -4*j - 2*o = -0*j - 8, 16 = -3*j + 4*o. Suppose 6*d + 6 = j, -2*p = 3... | {
"pile_set_name": "DM Mathematics"
} |
ond biggest value in -13, r, 1?
1
Let a = -5.26 - -1.26. What is the second smallest value in 3/7, a, 1/20, 1?
1/20
Let m be 14/10 - (-3)/(-3). Let p = 0.053 - 0.253. Which is the smallest value? (a) 3 (b) p (c) m
b
Let g = -0.62 + 1.59. Let f = 17 - 17.03. Let i = g - f. Which is the third smallest value? (a) 4 (... | {
"pile_set_name": "DM Mathematics"
} |
-15)*(45 - k).
2, 3
Let u = -8 - 0. Let w(j) = -j**2 - 9*j - 1. Let n be w(u). Suppose 5*v = 5*r - 28 - n, 12 = 3*v. What are the prime factors of r?
11
Suppose -2*n - 2 = 0, n - 2*n = 4*d - 27. Suppose -19 = -4*g + q, g + g = 3*q + d. Suppose g = j + 3*v, -2*v + 4 = 2. What are the prime factors of j?
2
Let x(g) = g -... | {
"pile_set_name": "DM Mathematics"
} |
common multiple of 1 and -1*(o - (2 + 1))?
5
Let c(y) = 2*y + 207. What is the lowest common multiple of c(44) and 20?
1180
Calculate the common denominator of 91/225 and (385/44 - 3)*(-1)/(-10).
1800
Let s = 208/3 - 1229/18. Calculate the common denominator of 91/15 and s.
90
Suppose 3*l + 17 = 3*m + 110, -116 = -4*l ... | {
"pile_set_name": "DM Mathematics"
} |
2 + 68*r - 16. Is z(13) prime?
False
Let l = 23 + -21. Suppose -l*u - 4*i + 355 = -u, -4*u + 1477 = -3*i. Is u prime?
True
Let l = -163 + 387. Suppose 3*c = -c + l. Is (c/2)/(12/6) composite?
True
Let x(g) be the first derivative of g**4/4 - g**2/2 - 26*g + 1. Let c be x(0). Let z = 145 + c. Is z prime?
False
Suppose 0... | {
"pile_set_name": "DM Mathematics"
} |
Let r = -77 + 87. Are r and -2 equal?
False
Suppose -5*u - 106 = h - 335, -3*h + 147 = 3*u. Let y be -2*(u/21 - 2). Is 2 bigger than y?
True
Let t = -4.3 - 3.4. Let o = -0.3 - -8.3. Let l = t + o. Is l > 1?
False
Let h(q) = -2*q - 32. Let g be h(-17). Is g less than or equal to 6/11?
False
Let r be ((-1)/(-2))/((-4)/(... | {
"pile_set_name": "DM Mathematics"
} |
)/j)*j))/(j**12*j**13))**(-5/2))**(2/57) assuming j is positive.
j**(4075/1083)
Simplify ((u/u**(7/4)*u)/u**4)/(u*u**0)**48*u**(-1)/(u*u**1)*(u**(-6/5)*u*u)/(u/(u*u**(1/2))*u) assuming u is positive.
u**(-1089/20)
Simplify (k*(k*k**(7/5))/k*k**(1/5))/(k**(-2))**(-9/8)*k**(3/2)*k*k**(-4)*k*k**8/(k**(2/5)/k) assuming k i... | {
"pile_set_name": "DM Mathematics"
} |
10)
Simplify (v/((v**(-4)*v)/v*v))/(v/v**(10/9)) assuming v is positive.
v**(37/9)
Simplify l**15/l**(11/3) assuming l is positive.
l**(34/3)
Simplify (x/(x/(x**(3/8)*x))*x)/(x**4/x)*(x**1)**(2/49) assuming x is positive.
x**(-229/392)
Simplify (y*y**(-1))**(-48)*y**(4/3)*y**(1/3)*y assuming y is positive.
y**(8/3)
Sim... | {
"pile_set_name": "DM Mathematics"
} |
olve 0 = -6*b + h*b + 4 for b.
-4
Let g = 5999 - 5998. Let o = 4 + -1. Solve g - o = -n for n.
2
Let c be (-4)/(-6) - (-34)/3. Suppose -h - h - c = 0. Let i be 2/h - 26/(-6). Solve i*t - 8 = -0*t for t.
2
Let a(p) = 10*p. Let z(n) = -3*n. Let h(b) = 2*a(b) + 7*z(b). Let c be h(-12). Solve 4*r + c = r for r.
-4
Let h(z)... | {
"pile_set_name": "DM Mathematics"
} |
et t(q) = q + 1. Let n be t(12). Suppose 2*h - n + 5 = 0. Solve 7*m - h*m - 12 = 0 for m.
4
Let f = 21 + -12. Solve 0 = j + 2*j - f for j.
3
Suppose -3*g - 2 = -11. Let v be (2/(-3))/(g/9). Let m be (-1)/2 + (-27)/v. Solve 2*r - m + 3 = 0 for r.
5
Suppose -2*w = -5*b - 2, -2*b - 5 = -5*w + 3*b. Solve -2*r - w - 9 = 0 f... | {
"pile_set_name": "DM Mathematics"
} |
3*v. Solve 12 = -4*z - f for z.
-3
Suppose 0 = -3*y + y - 24. Let q be (1 + (-5)/3)/(8/y). Suppose 0 = 3*z - 2*z - 2. Solve -g = q + z for g.
-3
Let y = -13 - -32. Let w = 28 - y. Let i be 32/6 + (-3)/w. Solve -4 = i*k - 14 for k.
2
Let t(a) = a + 153. Let d be t(-41). Solve 0 = 113*o - d*o - 5 for o.
5
Suppose 0 = -5*... | {
"pile_set_name": "DM Mathematics"
} |
e w + 2 = -3*c, 0*c - 4*w - 8 = -4*c. Suppose c = 6*z - 39 + 15. What are the prime factors of z?
2
Let h(t) = 3*t - 12. Let w = 2 + 6. Let i be 2/(w/6 - 1). What are the prime factors of h(i)?
2, 3
Suppose -2*u = 1 - 15. Let d(z) = -6*z + 15. Let j be d(u). List the prime factors of (-2)/6 + (-1737)/j.
2
Let j(x) = 86... | {
"pile_set_name": "DM Mathematics"
} |
. Let y = 31 - 28. Is (d/3)/(-1)*y prime?
False
Let f(u) = 3*u**2 + 3*u - 17 + 41 + u - 21. Let k(j) = -j**3 + 6*j**2 - 2*j + 4. Let b be k(6). Is f(b) prime?
True
Let k(a) = -160*a**3 + 2*a**2 - a - 2. Is k(-1) prime?
False
Let o(v) = v + 12. Let n be -1*(-2 - 0) + 7. Suppose -b + 0*b = -n. Is o(b) a composite number?... | {
"pile_set_name": "DM Mathematics"
} |
tens digit of -1*3/(g/40)?
2
Let w(d) = d. Let r be w(4). Suppose r*m + 2*l + 2 = -0*m, -4*l = -5*m + 17. What is the units digit of m?
1
Let n(u) = u**2 + 7*u - 22. What is the units digit of n(-15)?
8
Let b be (-2 - 3)*27/(-3). Suppose 0 = -3*a - 6 + b. What is the tens digit of a?
1
Let v(a) = -a**3 - 3*a**2 - a - 1... | {
"pile_set_name": "DM Mathematics"
} |
15/(-30) - g/4. Factor -2*c + 3*c - 16*c + 5*c**3 - y.
5*(c - 2)*(c + 1)**2
Solve -43/5*n**3 + 0*n + 44/5*n**2 - 1/5*n**4 + 0 = 0.
-44, 0, 1
Let p = -635353/3 - -211786. Let 2/3*q**2 + 0 - p*q = 0. What is q?
0, 5/2
Let o(t) be the first derivative of -4*t**3/15 - 132*t**2/5 + 268*t/5 - 361. Determine w, given that o(w... | {
"pile_set_name": "DM Mathematics"
} |
or d.
-1
Suppose 3*x - 11 = 5*s - 2, 2*x + 3*s - 6 = 0. Solve x*w + 4 = 4*u, -20 = -3*w - 2*w for u.
4
Let s = 4 - 5. Let p be (-18)/15*(-5)/(-3). Let q be s + 0 + p + 6. Solve 5*l + 2 = 2*b - 4*b, l = q*b + 3 for l.
0
Suppose -12*u - 289 = -193. Suppose 5*x - 2*x - 36 = 2*s, -3*s = 3*x - 36. Let z = u + x. Solve 0 = v... | {
"pile_set_name": "DM Mathematics"
} |
.5?
0.5
Let i be 42/(-8) - (-9 + 4). Let u be 11*33/9 + 0. Let w = u + -41. Which is the second smallest value? (a) w (b) i (c) -0.4
c
Let u = -69 - -98. Let f = u - 33. What is the third smallest value in -0.4, -1, f?
-0.4
Let g be -2*(0 + 4/(-40)). Let f be 0*(-4 - 0)/(-8). Suppose f = 4*k - 21 + 9. What is the th... | {
"pile_set_name": "DM Mathematics"
} |
Let c be 5 + 19/(5/m). Calculate the greatest common factor of 6 and c.
6
Let g = -768 + 801. Calculate the greatest common factor of 1452 and g.
33
Suppose 4*s = 2*s + 38. Let d = -6 - -1. Let u = d - -62. Calculate the highest common factor of s and u.
19
Let m(t) = 28*t - 105. Let c be m(13). What is the highest com... | {
"pile_set_name": "DM Mathematics"
} |
se t = 3*i - 320. Suppose -11*o + i = -8*o. What is the tens digit of o?
8
Suppose 3*q - 50 = -3*u + 646, 456 = 2*q - 2*u. Let d = q + 77. What is the units digit of d?
7
What is the thousands digit of (4074 - (3 - 15))/((-6)/(-4))?
2
Suppose -3*t - 13 = -4*n, -6*t + 25 = 5*n - t. Suppose -4*c - 4*s + 2048 = 0, -5*s - ... | {
"pile_set_name": "DM Mathematics"
} |
- 4 for i.
1
Let a be (-2)/(-5) + 52/20. Let i be -4 + (-136)/(-16) + 3/(-6). Solve 0 = i*j + a*j - 35 for j.
5
Let q be (5 - 13) + 17 - 31. Let u(t) = t**3 + 22*t**2 - 4*t - 88. Let h be u(q). Solve -25 = -5*f - h*f for f.
5
Let k = -239 + 222. Let c(t) = -t**2 - 21*t - 67. Let i be c(k). Solve i = m + 1 for m.
0
Let ... | {
"pile_set_name": "DM Mathematics"
} |
ose -4 = -w + 2. Suppose 2*f - 4*h - w = 0, -4*f - 4*h = -0*f - 24. Sort -2, f, -1/3.
-2, -1/3, f
Let a(l) = -l - 2. Let u be a(0). Suppose -4*w + 1 + 7 = 0. Sort w, u, 3.
u, w, 3
Let x = 4.3 - 8. Sort -2/5, 4, x in increasing order.
x, -2/5, 4
Suppose -6*c - 6 + 18 = 0. Sort c, -4, 7.
-4, c, 7
Let b be (-6)/(-9) - 76/... | {
"pile_set_name": "DM Mathematics"
} |
3*o + f*o**4 wrt o.
12*o**2
Let g = -10 - -14. Differentiate -3 - 12*l**4 + 9*l**g + 4*l**4 wrt l.
4*l**3
Let r(y) = 4*y + 5. Let k be r(-5). Let c be ((-12)/k)/((-6)/(-15)). Find the second derivative of -5*f**3 - 3*f + 3*f + c*f + 3*f**3 wrt f.
-12*f
Let o(a) = 11*a**2 - 11. Let i(c) = 21*c**2 - 23. Let s(r) = -3*i(r... | {
"pile_set_name": "DM Mathematics"
} |
le of u and 3.
3
Let s = 1191640879/35858088 - -4/640323. Let o = s - 216/7. Calculate the common denominator of (-4)/(96/(-219)) + 0 and o.
8
What is the common denominator of (-1 + (-220)/12 - -4) + 0 and -61/4?
12
Let k(s) = 13*s**2 - s. Let a = -1 - 0. Calculate the lowest common multiple of k(a) and 2.
14
Let x be... | {
"pile_set_name": "DM Mathematics"
} |
divided by s.
34
Let l(x) = -x**3 - 4*x**2 + 5*x + 4. Let j be l(-5). Suppose 3*q = q - i + 10, 16 = j*q + i. What is the remainder when 7 is divided by q?
1
Suppose -4*b + 116 = 4*u, -b + 3*u + 99 = 2*b. Calculate the remainder when 90 is divided by b.
28
Let i(t) = t + 4. Let o = -4 - -1. What is the remainder when 2... | {
"pile_set_name": "DM Mathematics"
} |
30) + sqrt(3630) + sqrt(3630) - sqrt(3630))*-6)/(-4*-2*sqrt(1000)).
-33*sqrt(3)/40
Simplify (-5*-2*(sqrt(108)/sqrt(4) - sqrt(27)))/((sqrt(81) + sqrt(81) + (sqrt(81) - -6*1*sqrt(81)))/sqrt(9)).
0
Simplify (sqrt(832) - (sqrt(832) + 0))**2 + sqrt(468) + (sqrt(468) - sqrt(468)*-1) - (5*sqrt(91)*1 + sqrt(91))/sqrt(7).
12*sq... | {
"pile_set_name": "DM Mathematics"
} |
(n/((n*n/(n/((n*n*((n/((n/(n*n**4/n))/n))/n)/n)/n*n)))/n)))/(n**29/n**(-6)) assuming n is positive.
n**(-377/12)
Simplify (a*a**2)**35*(a**4)**18 assuming a is positive.
a**177
Simplify ((((n/n**(-2))/n)/n)**(-14/11))**(3/26) assuming n is positive.
n**(-21/143)
Simplify (((v*v**(-1)*v)**(-2/129))**(2/87))**35 assuming... | {
"pile_set_name": "DM Mathematics"
} |
nominator of (-2 - -5)*(-99)/864 and -89/44.
352
Calculate the lowest common multiple of 10 and (-2 - (-357)/6) + (-7)/(-14).
290
What is the common denominator of 2*5/60*2/(-6) and 41/14?
126
Suppose 8*c = 10*c + 18. Let n = 10 + c. Calculate the least common multiple of 4 and n.
4
Suppose t + 2 = 9. Suppose 4 = -2*b ... | {
"pile_set_name": "DM Mathematics"
} |
earest to q? (a) i (b) r (c) 2/7
b
Suppose 219*o + 540 = 214*o. Let i = -96 - o. Let n be (-9)/i - (1435/(-220))/7. Which is the nearest to 1/3? (a) -0.2 (b) -2/27 (c) n
c
Let h = 11.1 - 10.918. Let u = h - -0.118. Which is the closest to 0.1? (a) 1 (b) u (c) 0.4
b
Let q = 6.9 + -2.8. Let s = q + -6.9. Let v =... | {
"pile_set_name": "DM Mathematics"
} |
emainder when b is divided by 32.
29
Suppose -18*z - 19*z + 1295 = 0. Calculate the remainder when 305 is divided by z.
25
Suppose 0 - 36 = -4*n. Let t(m) = -118*m + 1104. Calculate the remainder when t(9) is divided by n.
6
Suppose 23*p + 1796 - 4050 = 0. What is the remainder when 386 is divided by p?
92
Let q = -18 ... | {
"pile_set_name": "DM Mathematics"
} |
-2996 = -25*j + d. Is j a multiple of 30?
True
Let q = 575 - 690. Let s = -101 - q. Does 10 divide s?
False
Does 127 divide -17 + 1 + 89567 + -905?
True
Let r be (10/9)/((-26)/(-117)). Suppose -246 = -r*a + 709. Does 14 divide a?
False
Let r(l) = 6*l**2 - 50*l - 5. Let j be r(14). Let p = 635 - j. Is 10 a factor of p?
... | {
"pile_set_name": "DM Mathematics"
} |
9, l?
2/9
Suppose 4*r = q + 93, -3*r - 90 = -7*r - 2*q. Let j = r + -21. What is the closest to -2 in 0.4, j, 2/11?
2/11
Let t = -0.01 - 0.99. Let g be 2 + 100/(-42) + 34/51. Which is the closest to t? (a) g (b) -1/5 (c) 0.3
b
Let t = -412 - -413. Which is the closest to t? (a) -3 (b) 1 (c) -4 (d) 14/3
b
Let d =... | {
"pile_set_name": "DM Mathematics"
} |
late (-30)/(-120)*-4*6/(-8).
3/4
What is (-16)/24*-3*(-1)/3?
-2/3
Evaluate (-21)/24*(-36)/(-126).
-1/4
What is ((-1)/(-2))/((-2)/240*-6)?
10
Evaluate 1*(-9)/(-12)*(-4)/6.
-1/2
Evaluate (-2)/(-2)*-1*1*-1.
1
Evaluate -2*(-84)/(-4)*1/6.
-7
What is 6/(-18)*2/3?
-2/9
What is (-60)/(-525)*((-100)/(-8))/(-5)?
-2/7
What is (4/... | {
"pile_set_name": "DM Mathematics"
} |
+ 25. Let t be -15 + 1 + (-2)/(-1). Let z(a) = 4*a + 5. Determine t*z(v) + w*b(v).
2*v
Let p(t) = t. Suppose -3*k = 10 - 13. Let o(d) = 15*d. Give k*o(a) - 18*p(a).
-3*a
Let o(j) = -3*j**2 + 10*j - 1. Let p(b) = -4*b**2 + 10*b - 1. Give 6*o(f) - 5*p(f).
2*f**2 + 10*f - 1
Suppose -2*w - 5*d = -25, w + 30 - 10 = 4*d. Let... | {
"pile_set_name": "DM Mathematics"
} |
+ 3 for g.
-2
Suppose 22 = -q + 61. Let l = -36 + q. Solve -2 = l*t + 7 for t.
-3
Suppose -4*k = -k + 5*y + 5, 4*y = -5*k - 4. Solve k = 7*w - 4*w - 6 for w.
2
Let q = -67 + 73. Let f be (-36)/(-20)*(q + -1) - -2. Solve -3*v - 5 = -f for v.
2
Let b be -22 + 20 - (0 + -5). Solve b*t = 7 - 4 for t.
1
Suppose 0 = 4*w - 0... | {
"pile_set_name": "DM Mathematics"
} |
= 5 + 0. Suppose 3*p = 5*x - 4, 2*x = 3*x + h*p - 12. Determine g(x).
-5
Let t(a) = a**3 - 8*a**2 + 3. Let b be t(8). Let k(f) = -7 + 10 - 4*f**b + 5*f**3 - f. Determine k(0).
3
Let a(d) = d**2 + 3*d - 14. Let z(w) = 2. Let l(n) = a(n) + 3*z(n). Calculate l(-6).
10
Let y = 21 - 19. Let s be (y - 4/2)/(-1). Let u(i) = ... | {
"pile_set_name": "DM Mathematics"
} |
13 + 2)*-226?
3/11
What is 7983962/244407*(-10 + 0)*(76/(-35) - -2)?
56
What is the value of (96 - 95)/(413/(-7) - -4)?
-1/55
(364/(-3016))/((-231)/66)
1/29
What is the value of (2093/(-42) - (-1115)/1338) + -13?
-62
What is the value of (16418/(-144) - 6) + 478/34416?
-120
(23 + -7)/(-16) - -55 - 0
54
What is ((-70)/(... | {
"pile_set_name": "DM Mathematics"
} |
*9/(-270)))
12
(-112)/(-12)*(-26)/78*((-1872)/91)/8
8
What is the value of 6/21*(686*1/(-3))/(928/(-696))?
49
2/403*((-168064)/384)/101
-2/93
What is the value of ((-1368)/40)/((-58)/29*(-6)/40)?
-114
Calculate 69/(21*20/56*(-1)/5).
-46
Calculate 16*(-9)/30*12/3120*13.
-6/25
What is the value of ((192/(-160))/(18/20))/... | {
"pile_set_name": "DM Mathematics"
} |
5)/(-430).
1/8
What is (-216)/(-20)*(-93)/((-1953)/(-70))?
-36
(45/(-36) - 9/36)*18
-27
Calculate (192/(-3) - -55) + 80.
71
Evaluate 3053/(-65) - 1790/58175.
-47
Calculate (78 - (-364)/(-4)) + (-31 - 4).
-48
What is (-17)/(23205/1770) - 112/(-98)?
-2/13
Calculate (4/2 - 18)/(70 - 86).
1
(16/140)/((145/203)/((-4)/120))
... | {
"pile_set_name": "DM Mathematics"
} |
-121)/6 + o)/3.
144
Suppose 0 = q - 4*q - 5*y + 5, 5*y = -2*q + 10. What is the common denominator of q and (-74)/(-22) + (-2 - 1)?
11
Let z(p) = -p**3 - 2*p**2 + 2*p + 1. Let v be z(-2). Let d be (-16)/(-4) + v - 73. What is the common denominator of ((-834)/d)/((-2)/(-4)) and 7?
6
Let q(t) = -t**2 + 9*t - 12. Suppose... | {
"pile_set_name": "DM Mathematics"
} |
13
Let s = -331 + 330. Calculate the remainder when 151 is divided by (13 + -25)*(s + -5) - -5.
74
Let i(v) be the third derivative of -v**4/24 + 20*v**3 - 16*v**2 + 2*v. What is the remainder when i(-24) is divided by 29?
28
Suppose 32960 = 689*n - 29739. Suppose 5*v - v = 0. Calculate the remainder when n is divided... | {
"pile_set_name": "DM Mathematics"
} |
) + 3*i(v). Factor k(a).
3*(a + 1)*(a + 8)
Let w = -3344185/11 + 304017. Solve w*m**2 - 10/11*m + 8/11 = 0 for m.
1, 4
Suppose 5*o + q + 178 - 64 = 0, 88 = -4*o - 4*q. Let l be 32 + o + 2*-3. Suppose 10/9*k**4 - 8/9 - 2/9*k**5 - 2/9*k**2 - 14/9*k**l + 16/9*k = 0. What is k?
-1, 1, 2
Let i(r) be the second derivative of... | {
"pile_set_name": "DM Mathematics"
} |
*f - 360. Let z = -1 - -10. What is the greatest common factor of z and f?
9
Let x(k) = 10*k - 2. Let n be x(4). Calculate the greatest common divisor of n and 19.
19
Let v(s) = -12*s + 2. Let x be v(-2). What is the greatest common divisor of x and 13?
13
Let j(m) = 4*m**2 - 2*m + 3. Let r be j(2). What is the greates... | {
"pile_set_name": "DM Mathematics"
} |
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