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007850? False Does 45 divide 130452525? True Is 24413400 a multiple of 54? True Is 224 a factor of 137561984? True Does 28 divide 34053908? True Is 6 a factor of 14211358? False Does 3 divide 198012533? False Is 7 a factor of 70734572? False Does 9 divide 18958023? True Is 41867820 a multiple of 2070? True Is 3 a facto...
{ "pile_set_name": "DM Mathematics" }
e the first derivative of -3 + 0*w**2 + 0*w**3 - 3/5*w**5 + 2*w + 0*w**4. Find the first derivative of v(a) wrt a. -12*a**3 What is the second derivative of -10*l - 2*l**4 + 12*l**2 + 4*l**2 - 16*l**2 wrt l? -24*l**2 Let z = 6 - 5. Suppose b + z = 4. Differentiate -3 - 4*g**3 + 5 + 3*g**b + 0 with respect to g. -3*g**2...
{ "pile_set_name": "DM Mathematics" }
5. Suppose 8 = 3*x - 4. Suppose -3 = x*k - 3*k - i, 2*k - 5*i = 3. Let q(c) = -2*c - 3. Calculate k*y(n) + 10*q(n). -2*n Let n(x) = 10*x - 16. Let r(h) = 2*h - 3. Let g(s) = -s**3 - 2*s**2 - 3*s - 3. Let v be g(-2). Give v*n(a) - 16*r(a). -2*a Let o(l) = l - 1. Let y(n) = n. Give o(u) - 3*y(u). -2*u - 1 Let v be (2 - ...
{ "pile_set_name": "DM Mathematics" }
, -25 = 5*y - 10*y + 5*m. What is the units digit of y? 1 Suppose -2*c - 2*x = -708, -5*c = 2*x - 1358 - 403. What is the tens digit of c? 5 Let b(h) = -648*h + 6. What is the hundreds digit of b(-3)? 9 Suppose -3*x + 2*v = -54, 6*x - x = -2*v + 74. Let g = 20 - 26. Let r = x + g. What is the tens digit of r? 1 Let m(q...
{ "pile_set_name": "DM Mathematics" }
*r = -3*q - 25. Suppose -5*o - 72 = -r*o. What is the units digit of o? 4 What is the tens digit of (-2)/(16/(-60))*6? 4 Suppose 5*k = 2*n - 482, -k - 474 = -0*n - 2*n. What is the hundreds digit of n? 2 Suppose w - 2*w = -3. Let o(r) = -r**3 - 5*r**2 - 2*r + 9. Let k(p) = p - 1. Let g(l) = w*k(l) + o(l). What is the u...
{ "pile_set_name": "DM Mathematics" }
is the c'th term of 448, 451, 454? 3*c + 445 What is the z'th term of -83, -165, -247? -82*z - 1 What is the s'th term of 36, 55, 50, 9, -80, -229, -450? -2*s**3 + 33*s + 5 What is the h'th term of 591, 1188, 1785, 2382, 2979? 597*h - 6 What is the u'th term of 1110, 4447, 10010, 17799, 27814? 1113*u**2 - 2*u - 1 What...
{ "pile_set_name": "DM Mathematics" }
0.5. Which is the nearest to 1? (a) t (b) h (c) d c Let q = -76 + 79. Suppose -3*n = -4*n - 7. Let o be (-2)/n + 2/(-56). Which is the nearest to -1? (a) -1/3 (b) o (c) q a Let d = 39.42 + -36.42. Let t(z) = -2*z + 4. Let l be t(3). Which is the nearest to d? (a) 2/3 (b) l (c) -0.1 a Let u = -22.9 - -23. Which...
{ "pile_set_name": "DM Mathematics" }
37 Calculate the remainder when 2178405 is divided by 38900. 5 Calculate the remainder when 1708542 is divided by 11544. 30 Calculate the remainder when 30625158 is divided by 38. 8 What is the remainder when 43653469 is divided by 153? 121 Calculate the remainder when 8442258 is divided by 527630. 178 What is the rem...
{ "pile_set_name": "DM Mathematics" }
ing order. 1/47, -0.13, -2/7 Put -2, -2813, 5 in decreasing order. 5, -2, -2813 Sort -0.4, -4, -1/2, -57, 3.7 in descending order. 3.7, -0.4, -1/2, -4, -57 Sort 216, 12, -1, 48, 3 in decreasing order. 216, 48, 12, 3, -1 Sort 0.5, 5, -2, 0.69, 1/7, -47 in descending order. 5, 0.69, 0.5, 1/7, -2, -47 Sort -2458, -3, 4, -...
{ "pile_set_name": "DM Mathematics" }
+ (-6 - -3 - 3) 2 What is -25 + -10 - -4 - -58? 27 Calculate (78 - 73) + -7 + 2 + 0. 0 What is (31 - -10 - 13 - (4 + 2)) + 2? 24 -5 + -1 + (-6 - (4 + -2)) -14 What is -6 + 1 + (2 - (-1 - (-1 - 6)))? -9 Evaluate (-1 + -4 - (-2 - -3 - -5)) + 2. -9 Evaluate 54 + -55 + (17 - (3 - 0)). 13 What is the value of -4 - ((-34 - (...
{ "pile_set_name": "DM Mathematics" }
l = 0.09377 + 0.20623. What is the closest to l in o, -0.1, 2, -1/4? -0.1 Let d = -6036 + 168953/28. Let v = d - -12/7. Suppose 39*w - 10 = 37*w. Which is the closest to w? (a) -0.4 (b) v (c) -2 b Let f(d) = d**2 - 8*d. Let v(m) = -14*m - 20. Let g be v(-2). Let l be f(g). Let u = -6 - -5.6. Which is the closest to...
{ "pile_set_name": "DM Mathematics" }
z - z - 10*z + z - 13 - 11*z**3. Suppose 76*c - 74*c = -26. Let y(b) = 5*b**3 + 6*b + 6. What is c*y(s) - 6*r(s)? s**3 Let p(o) = -20*o**2 - 10*o**2 + 15*o + 15 + 36*o**2. Let m(r) = 3*r**2 + 7*r + 7. What is 13*m(c) - 6*p(c)? 3*c**2 + c + 1 Let t(p) = -p**2 + 2. Let g(r) = 36*r**2 + 3*r - 2. Give g(z) + t(z). 35*z**2 ...
{ "pile_set_name": "DM Mathematics" }
rk out 0.506 * -0.1. -0.0506 What is the product of 13 and 5? 65 0.04 times 0.9 0.036 What is 1.4 times 14? 19.6 Product of 5 and -27. -135 Multiply -2.3 and -2.7. 6.21 -0.103*-2 0.206 Product of -0.8 and -3. 2.4 What is the product of 1.354 and -7? -9.478 Product of 5.17 and 0.3. 1.551 3591 times -4 -14364 Calculate 0...
{ "pile_set_name": "DM Mathematics" }
a -70 (base 12) to base 11 -77 What is -134 (base 6) in base 15? -3d Convert 3 (base 8) to base 15. 3 Convert 60 (base 8) to base 15. 33 Convert -1b (base 12) to base 3. -212 -45 (base 8) to base 2 -100101 44 (base 8) to base 6 100 20020 (base 3) to base 8 250 What is 1110100 (base 2) in base 7? 224 What is -12 (base 8...
{ "pile_set_name": "DM Mathematics" }
v to 1 dp. 0.4 Suppose -4*k = -3*k + 1. Let q = k + 0. Let n = q + 19. Round n to the nearest 10. 20 Let n = 25.6 - -8.4. Let q = n + -27.6. What is q rounded to the nearest integer? 6 Let m = -5.05428011 + -18.94572077. Let f = -24.11 - -0.11. Let o = f - m. Round o to 7 decimal places. 0.0000009 Let w = -5.5 + 37.5. ...
{ "pile_set_name": "DM Mathematics" }
0)*4)**2. 5*sqrt(2)/2 + 4085/2 Simplify -4*(0 + sqrt(243) + 0 + -3 + sqrt(3) + -2*(sqrt(12) - (sqrt(300) - sqrt(12))*-2))**2 + 4. -8144 - 624*sqrt(3) Simplify (((sqrt(432) - (sqrt(432) + sqrt(432)*1))/(6*-1*sqrt(6)))/((sqrt(112)/(sqrt(21)/sqrt(3)))/(sqrt(16)*3 + sqrt(4))))**2. 49/2 Simplify sqrt(304) + (-1*sqrt(304) +...
{ "pile_set_name": "DM Mathematics" }
o(l) - k(l). What is r(4)? 0 Let q = 90 - 88. Let w(l) be the second derivative of -1/3*l**3 - 1/12*l**4 + 9*l + 3/2*l**q + 0. What is w(-3)? 0 Let n = 2 + 1. Let g(c) = -c**2 - c**2 + 3 + 3*c**2 - n*c - 6*c. Give g(9). 3 Let h = -79 + 76. Let j(w) = -5*w**3 + 10*w**2 + 11*w + 3. Let y(t) = -9*t**3 + 19*t**2 + 21*t + 6...
{ "pile_set_name": "DM Mathematics" }
Let i be 2/(-2)*9/(-15)*135. Let h = -76 + i. Solve -5*s + 9 = h*z - 3*z, -z = 2*s - 4 for z. 2 Suppose -2*n = 5*r - 22, r - 2*r + 2*n + 14 = 0. Solve 0 = -b - 3*u + 6, r*b + u - 2 = 2*b for b. 0 Let x(o) = o**2 - 9*o + 21. Let d be x(5). Let v be 4/(0/(-1) + d). Solve 27 = v*u + 3*b + 1, 5*b + 5 = 3*u for u. 5 Let v(...
{ "pile_set_name": "DM Mathematics" }
first derivative of 2572*v + 1398 wrt v. 2572 Differentiate 10*j**4 + 4*j**3*w**3 - 103*w**3 with respect to j. 40*j**3 + 12*j**2*w**3 What is the second derivative of 6046*b**3 - 1985*b? 36276*b Find the first derivative of -48*k*r**3*z - k*r*z**2 - 9*r**3*z - 29*z**2 wrt k. -48*r**3*z - r*z**2 Find the second derivat...
{ "pile_set_name": "DM Mathematics" }
-2*z**3 - 980*z**2 + 990*z + 4862. What is g(-491)? 934 Let a(s) = -2084*s + 410543. Give a(197). -5 Let b(g) = 1366*g - 7139. What is b(6)? 1057 Let a(o) = -2604*o - 270814. Give a(-104). 2 Let f(b) = 3715*b - 393788. What is f(106)? 2 Let q(g) = 270245*g + 7296611. Give q(-27). -4 Let r(w) = -5*w**2 + 501*w + 1001. D...
{ "pile_set_name": "DM Mathematics" }
311935278 to the nearest integer? 1095 What is 714285260 to the power of 1/9, to the nearest integer? 10 What is the square root of 349626399 to the nearest integer? 18698 What is the square root of 366237095 to the nearest integer? 19137 What is 827199454 to the power of 1/7, to the nearest integer? 19 What is 4298879...
{ "pile_set_name": "DM Mathematics" }
Let b(l) = -5*l**2 - 3*l. Suppose -5*o - 31 - 499 = 0. Let p = 110 + o. Let v(z) = -z**2. Give p*v(r) - b(r). r**2 + 3*r Suppose -4*a - 2*g - 1 = -25, -5*g = -3*a + 18. Suppose 20*d = 19*d + a. Let r(b) = b**3 + b**2 + b. Let z(s) = 4*s**3 + 6*s**2 + 6*s. Give d*r(o) - z(o). 2*o**3 Let q(g) = 4*g**2 - 3*g. Let j(h) = ...
{ "pile_set_name": "DM Mathematics" }
- b**3 + 2*b**3 - 3*b**3 + b**3 + 6*b**3 + 2*b**3 to i*b + s*b**3 + g*b**2 + h and give s. 3 Express -10*g**3 + 2*g**3 - 2 + 3 as l*g + b + x*g**3 + f*g**2 and give x. -8 Rearrange r + 13 - r**2 - r**3 + 18 - 32 + 8*r**3 to the form s*r**3 + l + q*r**2 + h*r and give q. -1 Rearrange 4*m**3 - 7*m**3 + 0*m - 5*m to j*m +...
{ "pile_set_name": "DM Mathematics" }
replacement from tptp? 1/6 Three letters picked without replacement from {h: 3, j: 1, t: 3, u: 5}. Give prob of sequence htu. 3/88 Two letters picked without replacement from {a: 2, z: 2, b: 2, u: 2}. What is prob of sequence uu? 1/28 Three letters picked without replacement from upeuuwiqipewuewi. What is prob of sequ...
{ "pile_set_name": "DM Mathematics" }
*y*y**(1/9)) assuming y is positive. y**(-3413/2448) Simplify ((m/m**(4/11)*m**(2/7))/(m/(m*m**(2/15)/m)*m**(-1)*m*m*m))**(-26) assuming m is positive. m**(58396/1155) Simplify (t/(t**(17/6)*t)*t**17)/(t**(-1/27)*t*t**(-2/39)) assuming t is positive. t**(9305/702) Simplify (k**(-3)/(k/((k/k**(2/79))/k)))**(-7) assuming...
{ "pile_set_name": "DM Mathematics" }
27 for n. -17 Solve -2640*t = -2641*t - 11*x + 37, -6*x + x - 1 = 3*t for t. -7 Solve 495*t - 51 = 498*t + j - 11*j, 16*t + 3*j - 66 = 0 for t. 3 Solve -66 = 3*o, -52908*y + 3*o = -52905*y + 21 - 84 for y. -1 Solve -o = 2*c + 27, -o + 3874 = -3*c + 3831 for c. -14 Solve -2*r - 4*u = 8, 115*u = 3*r - 116*u + 230*u - 2 f...
{ "pile_set_name": "DM Mathematics" }
by 21. 19 Suppose -8*v = -17*v + 1017. What is the remainder when v is divided by 17? 11 Let a = 4 + -1. Suppose 3 = a*r - 3*c, 0 = 3*r + r + 2*c - 10. Suppose 0*v - 8 = -r*v. Calculate the remainder when 10 is divided by v. 2 Let j(h) be the third derivative of h**6/120 + 7*h**5/60 + h**4/8 + h**3/6 - h**2. What is th...
{ "pile_set_name": "DM Mathematics" }
8*d - d)*((-d**2 + 6*d - 6*d)*(d - 3*d + d) - 3*d**3 + 2*d**3 - 2*d**3 + 3*d**2 - 3*d**2 - d**3). -24*d**4 Expand (10 - 2 - 2)*(4*s**2 + 0*s**2 + 0*s**2) + 23*s - 28*s**2 - 23*s + (3*s + 2*s - 6*s)*(-s - s + 3*s). -5*s**2 Expand (3*v**4 - 3*v**4 - 2*v**5)*(1 - 2 + 2) + (-24 - v + 24)*(-377 + 28*v**4 + 377). -30*v**5 Ex...
{ "pile_set_name": "DM Mathematics" }
est to 4/5? (a) 5 (b) k (c) -4 b Let z = -0.47 - 1.53. What is the nearest to z in -2, -4/3, -4? -2 Let q = 6 + -3. Let h = q + -2. What is the closest to h in 4, 2, -0.2? 2 Let w = 1 - 3. Which is the nearest to 1? (a) w (b) -1/2 (c) -4 b Suppose -38*p + 35*p = -15. Suppose -r = 3*r - 4. Let a be (-8)/6 - -1*r. ...
{ "pile_set_name": "DM Mathematics" }
1863505 divided by 1295? -1439 Divide -7606544 by 6. -3803272/3 Divide 85674 by -109. -786 -30933 divided by 90 -3437/10 What is 1114254 divided by -4? -557127/2 What is -9162 divided by -2? 4581 Calculate -3984 divided by 24. -166 What is -5 divided by -640939? 5/640939 -131 divided by -277 131/277 What is -21 divided...
{ "pile_set_name": "DM Mathematics" }
-0.0000002 Let k = 0.423 - -0.007. Let m = 5.37 + k. Round m to the nearest integer. 6 Let n = 266225 - 266224.890007. Let d = n - 0.11. Round d to 5 decimal places. -0.00001 Let n = 0.2 + 0.3. Let o = -187534.499998 + 187534. Let v = o + n. Round v to 6 dps. 0.000002 Let k = 2698.5965 + -2700. Let c = 1.4 + k. What i...
{ "pile_set_name": "DM Mathematics" }
j - h*j + 5*c. Solve 2*n = s - n - 1, -2*n = j*s - 5 for s. 1 Let l be (-3)/((-105)/1173 - 2/23). Solve 3*a + 16 = -2*t, -2*a + l*t - 19*t - 14 = 0 for a. -2 Let v(n) = 206*n - 192. Let d be v(1). Solve -14 = 2*f + p, -3*p = d + 4 for f. -4 Let v = -3038 - -3060. Solve -5*a + 9 = -2*i + 17, -v = -2*a + 5*i for a. -4 Le...
{ "pile_set_name": "DM Mathematics" }
he nearest to 2 in 0.4, 2/13, -16/11, -1? 0.4 What is the nearest to -4/13 in -1.5, -2, 4? -1.5 What is the nearest to 2/7 in 0, 1, 15, -0.8? 0 Which is the nearest to -0.06? (a) -2 (b) 2 (c) -2/11 (d) 3 c What is the closest to -0.2 in 0.5, -4, -3/38? -3/38 Which is the closest to -1/2? (a) -3 (b) -19 (c) 0.3 ...
{ "pile_set_name": "DM Mathematics" }
hird derivative of 1437*z**4/8 + 3346*z**3/3 - 5082*z**2. What is the derivative of y(k) wrt k? 4311 Let l(x) = -x**5 + x**2 - 3*x - 1. Let m(o) = -2417*o**5 - 4*o**2 + 18*o + 2. Let b(n) = 2*l(n) + m(n). What is the third derivative of b(r) wrt r? -145140*r**2 Let i(s) be the third derivative of 0*s**3 + 3*s**2 + 0*s ...
{ "pile_set_name": "DM Mathematics" }
h and 121/6? 42 Let c be 4*15/100*5. Calculate the lowest common multiple of (-1170)/(-24) + c/(-4) + 0 and 33. 528 Suppose 5*c + 5*p = -5, 4*p + 0 + 7 = -3*c. Suppose -7*k = -25*k + 324. What is the least common multiple of ((-7)/3 + c)*30 and k? 180 Let x(l) = -l**3 - 6*l**2 - 5*l - 2. Let d be x(-5). Let f(u) = 2*u*...
{ "pile_set_name": "DM Mathematics" }
given that -o**3/3 + 3*o**2 - 5*o + 7/3 = 0. 1, 7 Suppose a**4 + 7*a**3 + 13*a**2 - 3*a - 18 = 0. What is a? -3, -2, 1 Factor -4*j**3 + 100*j**2 + 4*j - 100. -4*(j - 25)*(j - 1)*(j + 1) Factor 2*x**4 - 174*x**3 + 5406*x**2 - 72250*x + 353736. 2*(x - 36)*(x - 17)**3 Determine m so that -2*m**3/15 + 8*m**2/15 - 8*m/15 = ...
{ "pile_set_name": "DM Mathematics" }
0 for k. 768585 Solve -2*r**2 - 274*r + 42780 = 0. -230, 93 Determine o so that -3*o**5 - 1164*o**4 + 10692*o**3 - 10842*o**2 - 48705*o + 50022 = 0. -397, -2, 1, 3, 7 Factor -2*b**2 - 9396*b - 177802. -2*(b + 19)*(b + 4679) Factor 4*a**2 - 18820*a + 206536. 4*(a - 4694)*(a - 11) Factor 12*i**3 + 54903*i**2 + 13725*i. ...
{ "pile_set_name": "DM Mathematics" }
*2 - 7*h. Let r be c(-7). Suppose k + 2 - 5 = r. Let j = k + 7. Is j a composite number? True Let y = 654 - 175. Is y a prime number? True Suppose 4*l + 33 - 13 = 0. Let n = l - -5. Suppose 0 = -n*t + 2*t - 4. Is t a prime number? True Suppose 0*c = -3*c + 3*q + 14265, -4*c + 19020 = 3*q. Suppose 0 = f, -4*h + h - 4*f ...
{ "pile_set_name": "DM Mathematics" }
ded by 25. 23 Calculate the remainder when 68/(-238) - 744/(-7) is divided by 11. 7 Suppose 12891 = 4*g - 5*x, 3*x = -20*g + 23*g - 9669. What is the remainder when g is divided by 129? 128 Let u(n) = 2*n**2 - 2*n - 1. Suppose -6*x + 17 = -133. Let w = 38 - x. What is the remainder when u(-3) is divided by w? 10 Let f ...
{ "pile_set_name": "DM Mathematics" }
4 Let s be ((-96)/(-21) - 5)/((-1)/7). Let u = -30 + 33. Solve u*y + 0*f = 5*f + 25, -5*y + 19 = s*f for y. 5 Let k(f) = -f**2 - 6*f + 4. Let p be k(-6). Let a(d) = 4*d + 50. Let h = 171 - 183. Let u be a(h). Solve -2 = u*r - 2*q, p*r + 8*q = 3*q - 40 for r. -5 Let o(b) = -b**3 + 11*b**2 + 11*b + 12. Let t be o(12). Le...
{ "pile_set_name": "DM Mathematics" }
lculate z(32). -247 Let x(v) = 1387*v**2 + 40*v - 40. Give x(1). 1387 Let c(i) = -2430*i + 17064. Calculate c(7). 54 Let c(l) = l**3 + 55*l**2 + 108*l - 1587. Calculate c(-7). 9 Let z(g) = 6412169*g - 25648673. Determine z(4). 3 Let l(q) = 4*q**2 - 201*q + 1489. What is l(9)? 4 Let h(y) = y**3 + 188*y**2 - 1596*y - 526...
{ "pile_set_name": "DM Mathematics" }
f 216799862? 2, 108399931 What are the prime factors of 1311480793? 7, 17, 11020847 What are the prime factors of 9124088? 2, 163, 6997 What are the prime factors of 6486930409? 137, 47349857 List the prime factors of 8986002. 2, 3, 1497667 List the prime factors of 3773320968. 2, 3, 379, 414833 What are the prime fact...
{ "pile_set_name": "DM Mathematics" }
g(6). Let p = -62 + 98. Calculate the highest common factor of f and p. 18 Let d = 27 - 10. What is the greatest common divisor of d and 187? 17 Suppose 5*x + 0*u = -2*u + 20, 4*x = 4*u + 44. What is the greatest common factor of 2 and x? 2 Let u = -6 - -10. Suppose 6*y = u*y + 144. What is the greatest common factor o...
{ "pile_set_name": "DM Mathematics" }
ve of -4*b**4*d**2 - 139003*b*d**3 - 2527540*d**3 - d wrt b? -16*b**3*d**2 - 139003*d**3 What is the first derivative of -586803*k*w + 1579570*k wrt w? -586803*k Find the first derivative of 9*n*p**3 - 12*n*p - 290*n - 33*p**3 + 10*p wrt n. 9*p**3 - 12*p - 290 Find the third derivative of 2*h**3*p**4 - 62005*h**3*p + 2...
{ "pile_set_name": "DM Mathematics" }
be (-2)/3 + -5 + 5. What is the closest to 6 in 1/4, q, r? 1/4 Suppose -10*v + 271 = -1409. Suppose -v + 169 = w. Which is the closest to 0.3? (a) -1/2 (b) -0.2 (c) -19 (d) w b Let y = -1.9 - -2. Let q = 8580.1 + -8580. What is the closest to y in q, -2/7, 4? q Suppose -11 + 6 = -3*z - 4*y, 0 = 4*z + 4*y. Suppose 0...
{ "pile_set_name": "DM Mathematics" }
t n(p) be the second derivative of -p**5/20 - 7*p**4/12 - p**3/6 + 192*p**2 - 4779*p. What is the first derivative of n(g) wrt g? -3*g**2 - 14*g - 1 Let s(y) = -100*y**3 + 7*y**2 - 7*y + 398. Let o(g) = -100*g**3 + 6*g**2 - 6*g + 403. Let l(x) = 7*o(x) - 6*s(x). What is the derivative of l(i) wrt i? -300*i**2 What is t...
{ "pile_set_name": "DM Mathematics" }
- 4*n**2 Expand (-3*o + 5*o + 0*o)*(-121 + 121 + 51*o)*(-2*o + 1 - 1 + 5*o - o - 2*o + (-2 + 0 + 0)*(-6*o + 2*o + 3*o)). 204*o**3 Expand (k**2 + 3*k**2 - 3*k**2)*(-16*k + 15*k - 8*k)*(41 - 41 + 8*k). -72*k**4 Expand (-2*w - w + 2*w)*(4*w**3 + 3*w**3 - 4*w**3)*(6*w + 3*w - 6*w). -9*w**5 Expand (w**2 + 0*w**2 + w**2 + (...
{ "pile_set_name": "DM Mathematics" }
t of 4241? 1 What is the units digit of 10221? 1 What is the units digit of 10390? 0 What is the units digit of 32384? 4 What is the hundreds digit of 2071? 0 What is the units digit of 819? 9 What is the thousands digit of 4095? 4 What is the hundreds digit of 301? 3 What is the tens digit of 1662? 6 What is the hundr...
{ "pile_set_name": "DM Mathematics" }
23739*n**2 - 2*n - 10 What is the a'th term of 14, -57, -222, -475, -810? a**3 - 53*a**2 + 81*a - 15 What is the s'th term of 2861829, 2861830, 2861831? s + 2861828 What is the p'th term of -35448, -70898, -106348? -35450*p + 2 What is the i'th term of -765, -6150, -20763, -49218, -96129, -166110? -769*i**3 - 2*i + 6 ...
{ "pile_set_name": "DM Mathematics" }
llest value in 1, 22/7, -3/5, 78, 15, 4? 78 Which is the fourth smallest value? (a) 31 (b) -0.19 (c) 57 (d) 0.5 (e) 0.4 (f) 0 d What is the fourth biggest value in -3, -3/121, -12, -0.17778, -0.2? -3 What is the fourth biggest value in 1, -1/6, -0.216, 3/376, -2? -0.216 What is the fourth smallest value in -0.037...
{ "pile_set_name": "DM Mathematics" }
- 29676 + 5322 for x. 27 Solve 33*j - 625843 + 626866 = 0 for j. -31 Solve 5*a + 1195*a + 9927 = 98405 - 3278 for a. 71 Solve -13*b - 71*b = -271*b - 313*b + 16000 for b. 32 Solve 3905*q - 76236 = -310*q - 313*q + 14324 for q. 20 Solve -968*i + 597 = -251*i - 26255 - 11866 for i. 54 Solve 4391*x + 155400 = -3009*x for...
{ "pile_set_name": "DM Mathematics" }
*v Let v be 7/4 - 1/(-4). Let a = 18 + -16. Differentiate 1 - f**3 + v*f**a - 2*f**2 with respect to f. -3*f**2 What is the second derivative of 21*y**5 - 221*y - 51*y**5 + 172*y wrt y? -600*y**3 Find the first derivative of 5 + 28*i - 21*i**4 - 28*i + 40 wrt i. -84*i**3 What is the third derivative of -187*u**4 + 2 - ...
{ "pile_set_name": "DM Mathematics" }
What is the tens digit of f? 2 Let k = 130 - 124. Suppose -5 + 1 = z. What is the units digit of z + 20/k*3? 6 Suppose -6*t - 3 = -5*t. Let c be (-4)/12*t*-20. Let s = c - -93. What is the tens digit of s? 7 Let c = 8 - -22. Suppose -38*s = -43*s. Suppose -2*d + 3*p = d - 60, s = 2*d + 3*p - c. What is the tens digit ...
{ "pile_set_name": "DM Mathematics" }
47. Solve d*p = -0 - 8 for p. -4 Suppose -11*a = 27*a - 7*a. Solve -15*k + 34 + 11 = a for k. 3 Let r(t) = -14*t**2 + 14. Let o(u) = 5*u**2 - 5. Let q(f) = -17*o(f) - 6*r(f). Let i be q(1). Suppose -14*c - 11*c = -175. Solve i = 5*l + 8 + c for l. -3 Suppose 0 = -23*s + 22*s, -80 = -5*f + 2*s. Solve 2*p = f - 24 for p....
{ "pile_set_name": "DM Mathematics" }
ative of -282*x + 380? -282 Find the second derivative of 1396*v**5 + 6*v + 51 wrt v. 27920*v**3 Find the third derivative of -72*l**5*p + 2*l**5 + 34*l**2*p - l*p - 2*p wrt l. -4320*l**2*p + 120*l**2 Find the third derivative of -3*b*y**4 + 11*b*y**2 - b*y + 2*y**5 + 1 wrt y. -72*b*y + 120*y**2 Find the first derivati...
{ "pile_set_name": "DM Mathematics" }
5, -0.4, 0.07 in descending order. 445, 0.07, -0.4 Put -1/2, -5, 0.1, -4/9 in increasing order. -5, -1/2, -4/9, 0.1 Sort -1, -363, -3. -363, -3, -1 Sort 1, -2, 0, 953, -4. -4, -2, 0, 1, 953 Sort -1/2, -15, -1/6, 2, -5/6. -15, -5/6, -1/2, -1/6, 2 Sort -3/5, -0.641, 2/11 in decreasing order. 2/11, -3/5, -0.641 Sort 3/5, ...
{ "pile_set_name": "DM Mathematics" }
s**3 - 42*s*y + 4*s*z Find the third derivative of -455*j**4 + 63*j**2 + 5. -10920*j Find the second derivative of 6*h*n**4 - h*n - 239*n**4 - 62*n wrt n. 72*h*n**2 - 2868*n**2 Find the third derivative of 169*s*v**5 - 4*s*v**2 + v**6 - 5*v wrt v. 10140*s*v**2 + 120*v**3 Find the first derivative of 692*g*t**3 + 323*t*...
{ "pile_set_name": "DM Mathematics" }
6 What is 14 + 5 + -1 - ((-197 - -205) + 2 + -16)? 24 53 - ((-289 - -316) + (-10 - 0)) 36 Evaluate 1 + -11 + 5 + 75 + -4 + 4 + 6. 76 Evaluate -21 + (21 + -14 - 17) + 21. -10 Evaluate (4 - 42 - -73) + -107 + -17. -89 Calculate 18 - 55 - -69 - 29. 3 Calculate (45 - 19 - 3) + (2 - (-4 + 1)) - -3. 31 Evaluate 11 - (-28 + 2...
{ "pile_set_name": "DM Mathematics" }
2*b**2 + 2*b + 3*b**2 - 2 + 2*b**2 - 5*b - b**3. Let k(h) = -h**3 + h**2. Suppose -100 + 88 = -4*i. Give i*k(z) - f(z). -2*z**3 + 3*z + 2 Let g = 10 + -9. Suppose -k + 0*k - g = 0. Let x(l) = l**2 - l + 1. Let d(n) = 4*n**2 - 3*n + 5. Give k*d(f) + 5*x(f). f**2 - 2*f Let f(v) = 9*v + 7 + 2*v - 3*v + 3*v**2 - 4*v. Let q...
{ "pile_set_name": "DM Mathematics" }
= -8*g + 10. Let a(v) = -7*v + 9. Let h(n) = -7*a(n) + 6*d(n). Determine 2*h(s) - 3*l(s). 2*s Suppose -13 = -3*x - 2*j, 3*j = 5*x - 2*j - 30. Let f(r) = -r**3 + r**2 + r - 1. Let p(y) = 4*y**3 - 7*y**2 - 7*y + 5. Give x*f(g) + p(g). -g**3 - 2*g**2 - 2*g Let m(n) = n**3 + n**2 - 3*n + 4. Let i(x) be the first derivative...
{ "pile_set_name": "DM Mathematics" }
-267.32461133 What is 270.738 plus 19.2? 289.938 What is 0.019007366058 plus 2? 2.019007366058 -73 - 2.424998 -75.424998 Add together -7415209 and -142. -7415351 Calculate -30 - 472900. -472930 116387 - 0.402 116386.598 -0.574 - 2645.67 -2646.244 Subtract -127979 from -1.4533. 127977.5467 Add together -0.02 and 408149....
{ "pile_set_name": "DM Mathematics" }
+ 4, -3*u - s - 2*s + 18 = 0. Suppose 5*l = -3*d - 2, -d - 2*l + 22 = 4*d. Which is the smallest value? (a) u (b) d (c) 4 a Let o = -0.2 + 0.5. Let r = 6 - 4. What is the smallest value in -1, r, o? -1 Let s = -7.97 - -8. Let f = 700 - 703.03. Let u = s + f. Which is the second biggest value? (a) u (b) -0.1 (c) 4...
{ "pile_set_name": "DM Mathematics" }
ve d. 344 Express 9*n + n - 7*n + (-3 + 2 - 1)*(-143 + 12*n + 143) in the form u*n + q and give u. -21 Rearrange -3*d + 3*d + d + 3*d + 0*d - 5*d + (-6 + 4 + 0)*(71*d + 3175 - 3175) to the form n*d + y and give n. -143 Express b + 5*b**2 - 2*b**2 - 8*b**2 - 4*b**3 + 2 as p + t*b + l*b**2 + m*b**3 and give p. 2 Rearrang...
{ "pile_set_name": "DM Mathematics" }
)/3 Solve i**2/3 + 105*i - 642 = 0. -321, 6 Suppose 3*i**3/8 + 27*i**2/4 + 135*i/8 = 0. What is i? -15, -3, 0 Find x such that 21*x**2 - 1254*x - 360 = 0. -2/7, 60 Suppose 4*x**5 - 28*x**4 - 32*x**3 = 0. What is x? -1, 0, 8 Factor 2*f**2 + 10988*f + 15092018. 2*(f + 2747)**2 Factor -d**4 - 200*d**3. -d**3*(d + 200) Fin...
{ "pile_set_name": "DM Mathematics" }
- -19204/23. Suppose 383 = 7*j + 376. Which is smaller: j or t? t Let x(p) = -p**3 - 5*p**2 + 2*p + 11. Let f be x(-5). Let y be 45/(-72)*f/(-5). Suppose -4*s + 3*u = -19, -3*s - 9 = -2*s + 2*u. Which is smaller: y or s? y Let h(i) = -97*i - 383. Let y be h(-4). Suppose 0 = -3*u + 4*q + 49, q - 84 = -3*u - 25. Is y at...
{ "pile_set_name": "DM Mathematics" }
-104*o + 46*o + 1288 = 103*o. Let i be 20*(4/(-10) + 0). Let j = i + 16. What is the highest common factor of o and j? 8 Let d = -4 - -19. Let x(u) = -u**2 + 19*u - 84. Let c be x(7). Suppose 9*z - 13*z + 24 = c. Calculate the greatest common divisor of d and z. 3 Let k(m) = m**2 + 23*m - 151. Let i(q) = q**2 - 8*q - ...
{ "pile_set_name": "DM Mathematics" }
*g - 18, 3*w = 6. Let h be (-6)/(3*(-4)/g). Suppose p = -h*p - 16. Are p and -8/3 unequal? True Suppose 2*o + 8 = -h, h + 12 = 3*h - 3*o. Suppose h = -56*q + 67*q + 77. Is q greater than -12? True Let c = -1391 + 235077/169. Let m(o) = 0*o**2 - 71 + 44 + o**2 + 11*o. Let i be m(-13). Which is greater: i or c? c Let t(d...
{ "pile_set_name": "DM Mathematics" }
? -114141 What is next in 47262, 94519, 141776, 189033, 236290? 283547 What is next in 226230, 226229, 226228, 226227? 226226 What is the next term in -100, -567, -1840, -4321, -8412, -14515, -23032, -34365? -48916 What is next in 1265, 5053, 11369, 20213, 31585, 45485, 61913? 80869 What is the next term in 15131, 3027...
{ "pile_set_name": "DM Mathematics" }
3.725 to one dp. 3.7 Round -419.16193 to the nearest integer. -419 What is -0.001012687 rounded to 4 decimal places? -0.001 What is 1376101.2 rounded to the nearest one hundred thousand? 1400000 Round 0.0001091829 to 6 decimal places. 0.000109 Round 1.106642 to 3 dps. 1.107 Round -13134.092 to the nearest ten. -13130 ...
{ "pile_set_name": "DM Mathematics" }
second derivative of 2*t**4 + 38*t - 7*t + 6*t**4 + 9*t**c wrt t? 204*t**2 Let q be -10*(3 - (-17)/(-5)). Suppose q*w - 16 = -g, 4*g + 40 = 4*w - g. What is the second derivative of -w*i + 30*i**4 - 16*i**4 - 21*i**4 wrt i? -84*i**2 Let q(w) be the third derivative of 0*w - w**2 + 0*w**3 + 0 + 23/24*w**4 + 1/6*w**5. Fi...
{ "pile_set_name": "DM Mathematics" }
3*y + 3*w, 352 = -2*y - 5*w. What are the prime factors of y/a + (-2)/9? 3 Suppose 192 = -0*m + 3*m. Suppose 0 = 6*a - 2*a - m. List the prime factors of a. 2 Let c(x) = 2*x**2 + 6*x - 6. Let g be c(-7). Suppose -t = -1 - 1, 2*k - 2*t = 0. Suppose -7*y = -k*y - g. What are the prime factors of y? 2, 5 Let v(a) = a**2 -...
{ "pile_set_name": "DM Mathematics" }
657*u**2 + 149*u + 149. Determine w(-1). 657 Let k(d) = -d**2 + 36*d + 238. Calculate k(38). 162 Let l(y) = 2*y**2 - 17*y + 57. Determine l(15). 252 Let k(r) = 12*r**2 - 17*r - 46. Give k(-3). 113 Let x(z) = -186*z**3 - 3*z**2 + z + 2. Give x(-1). 184 Let m(i) = -2*i**3 + 24*i**2 + 29*i - 6. What is m(13)? 33 Let f(h)...
{ "pile_set_name": "DM Mathematics" }
et s(r) = -3*r**2 + 5*r - 5. Give s(i). -33 Let b be (-2)/5 - 615/25. Let y = -23 - b. Let i(m) = 4 - 5*m**y + 10*m**2 + 6*m - 5*m + m**3. Calculate i(-5). -1 Let v(j) = -4*j + 62. Let u(k) = -55*k - 814. Let o be u(-15). Calculate v(o). 18 Let s = -12287 + 12287. Let h(q) be the third derivative of 0 + s*q + 30*q**2 +...
{ "pile_set_name": "DM Mathematics" }
xpand -3*x**2 + 2*x**2 + 2*x**2 + (3*x**2 - x**2 + 0*x**2)*(2 - 2 + 1) + (1 - 1 + 2*x)*(4 + 2*x - 4) - 3*x**2 + 2*x**2 - x**2. 5*x**2 Expand ((-y**2 + y**2 - y**2)*(-6*y**2 + y**2 + 3*y**2) + 2*y**3 - 2*y**3 + 2*y**4)*(-3 + 4 - 3). -8*y**4 Expand 1 - 1 + 2*k**3 + (-2 - 1 + 2)*(-k**2 + 3*k**2 + 0*k**2)*(14*k + 3*k + 15*...
{ "pile_set_name": "DM Mathematics" }
3/2 Calculate 1/2*28*6/(-12). -7 Calculate 1*48/60*(-10)/(-4). 2 What is the value of (0/(-3))/(3/(3/2))? 0 What is the value of (((-9)/2)/(-3))/((-486)/72)? -2/9 Evaluate (-56)/(-35)*10/4. 4 What is the value of (8/51)/((-168)/(-126))? 2/17 Calculate 2/2*-6*(-4)/(-8). -3 Evaluate 5/(-2)*1680/700. -6 Evaluate (-6)/2*(-...
{ "pile_set_name": "DM Mathematics" }
c + h + 2051. Is c composite? True Let j(p) = -1940*p + 7. Is j(-9) prime? True Suppose 9442 = 13*w - 39373. Is w prime? False Let h(k) = 3779*k + 30. Is h(1) composite? True Let r = -6689 - -71284. Is r composite? True Let r = -12964 + 20522. Is r composite? True Is (1 + 0 - 4188)*(-5 - -4) prime? False Let c be 4 + -...
{ "pile_set_name": "DM Mathematics" }
replacement from {p: 1, n: 1, y: 2, w: 2, m: 4}. 1/180 What is prob of sequence bo when two letters picked without replacement from hoootoobtnnobtobz? 21/272 Three letters picked without replacement from ydyeceyyuec. What is prob of sequence cdu? 1/495 Three letters picked without replacement from kkkkwkkkkkkkwkkkkk. W...
{ "pile_set_name": "DM Mathematics" }
alculate 13 - (-3 + -3 + 3 + 1 - 2). 17 What is the value of -10 + (2 - 0) - (-46 + 34)? 4 What is -7 - (-9 + 10) - -8? 0 Evaluate -1 - (-31 + -44 + 68). 6 What is the value of -156 + 171 - ((4 - -1) + -2)? 12 What is the value of -2 - (4 - 7 - 0)? 1 What is (63 - 52) + (1 - 3) - 4? 5 7 - (15 + (3 - -6)) -17 What is th...
{ "pile_set_name": "DM Mathematics" }
.09? 13/989 What is the nearest to 2/13 in 0, -0.01, -211578/7? 0 What is the closest to 1.4 in 0.5, 1, 0.0223, -4, 0, 143? 1 What is the closest to -40/5931 in 193, -0.8, -0.4? -0.4 What is the nearest to 2 in -1, 0.005, 445, -0.6? 0.005 What is the closest to 153 in -0.4, -4, 3, 8, -99? 8 Which is the closest to -313...
{ "pile_set_name": "DM Mathematics" }
-4*n + 8 = -0. What is h in -h**4 + 35*h**n - h - 34*h**2 + h**3 + 0*h = 0? -1, 0, 1 Let c(a) = 4*a**2 + 5*a. Let y(b) = -b + 1. Let f be y(3). Let z(u) = -2*u**2 - 2*u. Let x(h) = f*c(h) - 5*z(h). Factor x(o). 2*o**2 Suppose 35*i**2 + 29*i - 25*i**2 + 6*i + 105*i**2 + 5*i**3 + 75*i = 0. What is i? -22, -1, 0 Let p(j)...
{ "pile_set_name": "DM Mathematics" }
2 is divided by 12. 10 Suppose 2*h - 25 = 27. Suppose 3*g - g = h. What is the remainder when 37 is divided by (g/(-2))/((-2)/4)? 11 Suppose -9 = 2*k - 3, -2*n - 4*k + 16 = 0. Suppose 0*m = -m + 4*p + 32, m + 2*p = n. Calculate the remainder when m is divided by 11. 9 Let g(j) = -j**2 + 6*j + 4. Suppose -6*t + 9*t = 12...
{ "pile_set_name": "DM Mathematics" }
rime factors of f? 3 Suppose 0 = -21*x + 62*x - 113898. What are the prime factors of x? 2, 3, 463 Let z(j) = -3*j**2 - 33*j - 6. Let q be z(-10). Let g = q + 7. What are the prime factors of g? 31 Let o(d) = 11*d + 71. What are the prime factors of o(26)? 3, 7, 17 Suppose -4*o + 3*r = -3344, -r + 20 = 4*r. What are th...
{ "pile_set_name": "DM Mathematics" }
- g. Is g != z? True Let d = -117.147 - -0.147. Let y = -110.03 - d. Let o = -7 + y. Are o and 0 unequal? True Let y be 12 - 10 - (-1 - 5). Which is smaller: 0.04 or y? 0.04 Let y = -442 - -1313/3. Which is smaller: 5 or y? y Suppose -2*f - 3*f = 3*c - 25, 4*f = c + 20. Let z = 11/115 - 1249/14260. Which is greater: c ...
{ "pile_set_name": "DM Mathematics" }
+ 184 = 4*a. Does 14 divide a? False Let c(d) be the third derivative of d**5/60 - d**3/2 - d**2. Let u(y) = -2*y**2 - 32*y - 3. Let b be u(-16). Does 2 divide c(b)? True Let f(d) = d + 3*d - 1 + 7*d**2 - 9*d**2 + d**3. Let c be f(3). Let w = c - -6. Is 13 a factor of w? True Is 12 a factor of 3861/65 - -1 - (-2)/(-5)...
{ "pile_set_name": "DM Mathematics" }
+ 30 Let k be ((-2)/4)/((-39)/26). Let y(q) be the first derivative of 1/2*q**2 + k*q**3 + 0*q - 2. Find the second derivative of y(a) wrt a. 2 Suppose 5*s = 3*f + 4, 5*f + 3*s - 1 = 15. Let m be (-4)/5*(-15)/f. Find the third derivative of 3*n**6 - 10*n**6 - 2*n**2 + 4*n**m wrt n. -360*n**3 Let u = -58 + 60. Let d(i)...
{ "pile_set_name": "DM Mathematics" }
t y be (-4)/(-18) + 4/36. Which is the closest to -1? (a) 0.4 (b) -2/3 (c) y b Let u = 26 - 26.4. What is the closest to -2 in -2/3, 4, u? -2/3 Let r be 402/(-570) + (-3)/(-5). Which is the closest to 3? (a) r (b) 4/7 (c) 5/4 c Let h = -0.4 + 0.7. Let s = -4.5 - -0.5. Let x = -6 - s. Which is the closest to x? (...
{ "pile_set_name": "DM Mathematics" }
nded to 5 decimal places? 0.00006 Suppose -16862227 = 2*r + 53337773. Round r to the nearest one million. -35000000 Let y = 65 + -15. Round y to the nearest one hundred. 100 Let u = 1681157850856667 + -1681158528585698.000133. Let j = u - -677729354. Let w = 323 - j. Round w to 5 dps. 0.00013 Let c = 31 - 54. Let s = c...
{ "pile_set_name": "DM Mathematics" }
u). 29*u - 2 Let w(x) = 83*x**2 - 97*x + 31. Let y(q) = -30*q**2 + 32*q - 11. Give 4*w(j) + 11*y(j). 2*j**2 - 36*j + 3 Let m(d) = -d. Let k be ((-1938)/72 - (-5)/(-15)) + (-24)/32. Let o(f) = 15*f. Determine k*m(h) - 4*o(h). -32*h Let p be (-1 - -3)/(4/8). Let w = 3291 + 354. Let k(t) = 3645*t - 5 - 3*t**2 - w*t. Let x...
{ "pile_set_name": "DM Mathematics" }
Solve -74*q + 785 = 267 for q. 7 Solve -8*c + 65 = 121 for c. -7 Solve -10*w = -10 - 30 for w. 4 Solve 0 = -7*d - 5 + 12 for d. 1 Solve -5*w + 111 = -42*w for w. -3 Solve -39 = -15*l + 21 for l. 4 Solve a - 173 = -178 for a. -5 Solve 0 = 18*a + 735 - 789 for a. 3 Solve -68 = -5*z - 48 for z. 4 Solve 50 - 55 = -5*d for ...
{ "pile_set_name": "DM Mathematics" }
i Collect the terms in -173 + 107 + 46 + 5*u - 1. 5*u - 21 Collect the terms in 85 - 42 - 44 + 15*r - 90*r. -75*r - 1 Collect the terms in 289 - 289 + 239*p + 240*p + 240*p + 83*p**2 - 719*p. 83*p**2 Collect the terms in -27*f**3 + 6*f - 27*f**3 - 33*f**3 + 89*f**2 - 6*f + 88*f**3. f**3 + 89*f**2 Collect the terms in -...
{ "pile_set_name": "DM Mathematics" }
w**4. 8*w**4 + w Expand 0*n**2 + 0*n**2 - 2*n**2 + (-1 - 3*n + 1)*(0*n + 0*n - n) + (-2 - n + 2)*(3*n + n - 2*n). -n**2 Expand (-4 + 9*k - 4 + 9)*(2*k**4 - 7*k**4 + 3*k**4). -18*k**5 - 2*k**4 Expand -10*f**5 - 4*f**5 - 9*f**5 + (2*f**4 + 4*f**4 - 4*f**4)*(-2*f - 2*f + 3*f). -25*f**5 Expand 12*h**3 - 44 + 44 + (3*h**2 -...
{ "pile_set_name": "DM Mathematics" }
(c) -2/7 (d) -335 (e) 0.05 e What is the second smallest value in -0.2, -0.4, -1, 45, 77, 1? -0.4 Which is the third biggest value? (a) -156 (b) 2/841 (c) 3/2 a Which is the second smallest value? (a) -3/7 (b) 0.2 (c) 2/13 (d) -45 (e) -1/22 a Which is the second smallest value? (a) 10 (b) 58 (c) 9/2 a Wh...
{ "pile_set_name": "DM Mathematics" }
rentiate 7454*k - 34416 wrt k. 7454 What is the second derivative of 5138748*h**3 - 4431115*h wrt h? 30832488*h Find the second derivative of -1070833*z**3 + 621169*z. -6424998*z What is the third derivative of -585381*s*w**3 + s*w**2 - 41*s + 559*w**2 wrt w? -3512286*s What is the second derivative of 60160*p**4 - 508...
{ "pile_set_name": "DM Mathematics" }
when 813920 is divided by 271306. 2 What is the remainder when 962256 is divided by 1344? 1296 What is the remainder when 182407 is divided by 124? 3 Calculate the remainder when 790779 is divided by 379. 185 Calculate the remainder when 1533712 is divided by 766754. 204 Calculate the remainder when 3828926 is divided ...
{ "pile_set_name": "DM Mathematics" }
+ 5*u = -i*m + 16 for u. 2 Let u(t) = t + 14. Let d be u(-10). Suppose 5*g = -d*i - 136, 2*g - 4*i + 28 = i. Let q = -1 - g. Solve 0 = 2*j - 3*f + q, 0*f - 4*f + 40 = -5*j for j. -4 Let j = -8 - -8. Suppose j = c - 9 + 1. Suppose -2*w + 6*w = c. Solve -4 = h - 5*r, -6*h = -w*h - 4*r for h. 1 Let s = 24 + -16. Let m(o)...
{ "pile_set_name": "DM Mathematics" }
585. -3*(s - 9)*(s - 5)*(s + 71) Factor 2*a**5/9 + 4732*a**4/9 + 2794240*a**3/9 - 5607424*a**2/9. 2*a**2*(a - 2)*(a + 1184)**2/9 Suppose -2*p**2 + 101520*p - 1288288800 = 0. Calculate p. 25380 Suppose 675*i**5 - 630*i**4 - 1380*i**3 - 200*i**2 + 160*i = 0. What is i? -2/3, 0, 4/15, 2 Factor 3*f**2 + 29304*f + 175716. 3...
{ "pile_set_name": "DM Mathematics" }
(a) 6/11 (b) -1/5 (c) -7 (d) 0 b What is the closest to 0.2 in -1, -2, -11? -1 What is the closest to -1/3 in -2, 0.3, -0.3? -0.3 What is the nearest to 0.1 in 3, 17, -1? -1 What is the closest to -2/3 in -2.4, 3, -5? -2.4 Which is the nearest to -2/5? (a) 14 (b) -1 (c) -4/7 (d) 3/5 c Which is the nearest to 4? ...
{ "pile_set_name": "DM Mathematics" }
-37, -288, -719, -1366, -2265? -3452 What is the next term in 6677, 6712, 6787, 6902, 7057, 7252? 7487 What is the next term in -145885, -146194, -146717, -147460, -148429, -149630, -151069? -152752 What is next in 131602366, 263204731, 394807096, 526409461, 658011826, 789614191? 921216556 What is the next term in 858...
{ "pile_set_name": "DM Mathematics" }
(s) = 42*s**3 + 1 - 3*s**2 - 35*s**3 + 2*s**2. Let b = 1 + -2. Determine h(b). -7 Let t(j) = -j + 0*j - j + 4*j**2 - 7 + j. Let v be (0 - 0/(-2)) + 6. Let a(o) = 3*o**2 - o - 6. Let b(s) = v*a(s) - 5*t(s). Calculate b(-2). -7 Let u(i) = -i**2. Let d(r) be the first derivative of r**2/2 - r + 4. Let m(t) = -5*d(t) + u(t...
{ "pile_set_name": "DM Mathematics" }
s divided by 91. 1 Calculate the remainder when 101 is divided by 26. 23 What is the remainder when 98 is divided by 13? 7 What is the remainder when 135 is divided by 51? 33 What is the remainder when 691 is divided by 250? 191 Calculate the remainder when 89 is divided by 86. 3 What is the remainder when 381 is divid...
{ "pile_set_name": "DM Mathematics" }