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+ 3*u**4 + 7*u - 4*u**2 wrt u? 72*u Let i be (-25)/(-10) - 3/(-2). Find the second derivative of -i - 3*z + 10*z - 4*z**3 + 4 wrt z. -24*z Let d(m) be the first derivative of -m**6/15 - m**2/2 + 5*m + 4. Let p(r) be the first derivative of d(r). Find the first derivative of p(k) wrt k. -8*k**3 Suppose -4*i + 7 = -13. ...
{ "pile_set_name": "DM Mathematics" }
nearest integer? 300 What is the square root of 43604 to the nearest integer? 209 What is the square root of 636 to the nearest integer? 25 What is the tenth root of 6904 to the nearest integer? 2 What is the fourth root of 10944 to the nearest integer? 10 What is the eighth root of 44929 to the nearest integer? 4 What...
{ "pile_set_name": "DM Mathematics" }
+ 1. Calculate r*m(u) + 5*n(u). u - 1 Let j(h) = h - 6. Let l(f) = -5. Give -3*j(c) + 2*l(c). -3*c + 8 Let m(d) be the first derivative of -3*d**2/2 + 4*d + 5. Let s(o) = o - 2. Determine -2*m(k) - 5*s(k). k + 2 Let f = 17 + -13. Let a(b) = -4 + 3*b - f - 1 + 4. Let p(j) = j. Let y(h) = 5*h - 2. Let r(d) = 4*p(d) - y(d...
{ "pile_set_name": "DM Mathematics" }
*3 + y**2 - 2*y - 36 What is the b'th term of -50103, -50105, -50109, -50115, -50123, -50133? -b**2 + b - 50103 What is the u'th term of -39831, -39832, -39835, -39840? -u**2 + 2*u - 39832 What is the b'th term of -8, -95, -240, -443, -704? -29*b**2 + 21 What is the d'th term of -69, -279, -635, -1143, -1809, -2639? -d...
{ "pile_set_name": "DM Mathematics" }
u + o. Suppose -4*x = 2*d - 3*d - 38, -u*x + 4*d + 42 = 0. Calculate the greatest common factor of 4 and x. 2 Suppose 0 = v + 3*h - 52 - 44, -4*v + 2*h = -370. What is the highest common factor of 3534 and v? 93 Suppose 0*i + 3*r + 4 = 4*i, 3*i = r + 8. Suppose 0 = -5*c - 1 + 6, -i*b - 2*c = -30. What is the highest co...
{ "pile_set_name": "DM Mathematics" }
*(16/12)/4? -1/4 Evaluate (3/(-36)*-8)/(3/27). 6 Evaluate ((-8)/(-2))/(-17*50/25). -2/17 What is the value of (1/4)/(972/432)? 1/9 Evaluate 48/(-24)*(-2)/48*2. 1/6 (6/63)/(3/21*1) 2/3 What is 9*-6*4/24? -9 -1*(25/5)/(-30)*-30 -5 ((-45)/(-135))/((-5)/9) -3/5 Calculate (2/2*1)/((-120)/24). -1/5 What is the value of (10/(...
{ "pile_set_name": "DM Mathematics" }
st common factor of f and q? 5 Suppose -44*d + 33 = -43*d - 3*t, 5*t = -3*d + 99. Let b be 2/(1/(11/2)). What is the greatest common divisor of b and d? 11 Let s(p) = 2*p**2 - 4*p + 1. Let h(b) = b**2. Let x(c) = h(c) - s(c). Let n be x(2). What is the highest common divisor of n and 12? 3 Let x = 14 + -2. Calculate th...
{ "pile_set_name": "DM Mathematics" }
0*a**2 + 0 + 4*a. Let s(z) = 8*z. Determine l(s(o)). 8*o Let m(l) = 7*l. Let q(k) = -4*k + 5*k - 2*k. Calculate q(m(n)). -7*n Let j(b) = -6*b**2 - 5*b. Let l(y) = 3*y - 14. Give j(l(d)). -54*d**2 + 489*d - 1106 Let o(s) = -3*s**2 - 6*s - 6. Let u(q) = -q - 1. Let j(b) = o(b) - 6*u(b). Suppose x = -2*x + 9. Let f(c) = ...
{ "pile_set_name": "DM Mathematics" }
ue in 0.1, 2, 0, -1/3, -1, -63? 2 Which is the fourth biggest value? (a) -0.5 (b) 184/5 (c) -6 (d) 1 (e) 4 (f) 5 d Which is the fourth biggest value? (a) 22 (b) 2.6 (c) 2 (d) -9 (e) 3 c Which is the smallest value? (a) -2/373 (b) -0.3 (c) -29.9 (d) 4 (e) -1/8 c Which is the third smallest value? (a) -1...
{ "pile_set_name": "DM Mathematics" }
Let p(m) = -4*m. Let t(h) = h - 2. Calculate t(p(v)). -4*v - 2 Let m(g) = -1262*g**2. Let h(d) = 2*d**2. Give m(h(u)). -5048*u**4 Let p(y) = -55*y**2 + 1. Let s(c) = 2*c**2. Give s(p(q)). 6050*q**4 - 220*q**2 + 2 Let v(c) = c**2. Let b be (4/14)/((-2)/(-14)). Let w(d) = -b*d + 2*d + d - 4*d. Give w(v(p)). -3*p**2 Let v...
{ "pile_set_name": "DM Mathematics" }
0000888904588 to seven dps. -0.0000889 What is -688115370.2 rounded to the nearest one million? -688000000 Round 0.0030652988 to 3 decimal places. 0.003 What is -0.00189645314 rounded to seven dps? -0.0018965 What is 1.2081795393 rounded to four decimal places? 1.2082 Round 242.279732 to one dp. 242.3 What is -7554203....
{ "pile_set_name": "DM Mathematics" }
(d) = f*d + d + d + 0*d. Let m(y) = -2*y. Determine m(p(r)). -4*r Let d(g) = -g**2. Let c(v) = -3*v**2. Let t(s) = 2*c(s) - 5*d(s). Let k(r) = 8*r. Give k(t(m)). -8*m**2 Let x(i) = 2*i**2. Let a(r) = -3*r + 0*r - r. What is x(a(w))? 32*w**2 Let w(n) = -9 + 9 + n. Let f(r) be the third derivative of 0*r**3 + 0*r + 0*r**...
{ "pile_set_name": "DM Mathematics" }
t f = k - x. Is f a prime number? False Suppose 14*b - 28423 + 2901 = 0. Is b a prime number? True Let o = -2742 - -4179. Is o a composite number? True Let j = -4181 - -37100. Is j a composite number? True Let x(o) = o**3 + 7*o**2 + 9*o - 4. Let b be x(-5). Suppose -5*m = -2*z - 21, -21 = -5*z + 2*z - 3*m. Is 38/z*b/1 ...
{ "pile_set_name": "DM Mathematics" }
be v + -1 - (-2)/1. Let c be 10/(-6) + l/(-3). Sort c, 6, 1 in decreasing order. 6, 1, c Let k = -0.17 - 7.83. Put -4, k, -2 in ascending order. k, -4, -2 Let a = -29758056 - -142392297332/4785. Let x = a + -2/957. Sort x, -2/7, -5 in decreasing order. x, -2/7, -5 Let u = 87 - 87.47. Let n = u + -0.03. Let b = 13 - 9....
{ "pile_set_name": "DM Mathematics" }
8/55 Calculate prob of picking 2 x when two letters picked without replacement from {c: 3, a: 1, x: 4}. 3/14 Three letters picked without replacement from {f: 3, z: 3}. What is prob of picking 1 z and 2 f? 9/20 Calculate prob of picking 2 g and 2 q when four letters picked without replacement from ccggjcqqppjgrcp. 1/45...
{ "pile_set_name": "DM Mathematics" }
r**4/12 - 45*r**3/2 + 175*r + 18. Let c(v) be the first derivative of z(v). Let c(w) = 0. What is w? 0, 27 Let 18*u**3 - 36 - 4*u + 5*u + 39*u**2 - 5*u**2 - 8*u - 11*u + 2*u**4 = 0. What is u? -6, -3, -1, 1 Let m(v) be the third derivative of 0*v + 0 + 31/25*v**5 - 4418/15*v**3 - 1/150*v**6 - 141/2*v**4 + 118*v**2. Det...
{ "pile_set_name": "DM Mathematics" }
to -2? (a) 0.5 (b) 28 (c) -0.7 (d) 0 c Which is the nearest to -2? (a) 1/12 (b) 32.3 (c) -4 c Which is the closest to 10? (a) -1/3 (b) 0.2 (c) -2 (d) -1/2 b Which is the nearest to -3? (a) 1/3 (b) -2 (c) -2/9 (d) 3 b Which is the nearest to -3? (a) -5 (b) -5/4 (c) -0.1 b What is the nearest to 0 in 2...
{ "pile_set_name": "DM Mathematics" }
*2 + 3*o + 1. Give u(x). 3 Let b(h) = -5*h + 2. Let c(m) = -10*m + 5. Let v(a) = 5*b(a) - 2*c(a). Determine v(1). -5 Let o(d) = d**2 - d + 2. Suppose -2*s + 15 = s. Suppose -p + 12 = -2*z, 0 = 5*p - z - s - 10. Calculate o(p). 4 Let p(t) = -3*t. Suppose -5*r = -0 - 10. Suppose 2*s + r = -0. Determine p(s). 3 Let y be 3...
{ "pile_set_name": "DM Mathematics" }
- 3*t + 3. Let i be m(-3). Factor 2*a + 2*a**i + 0*a**3 - 4*a**2 + w*a**2. 2*a*(a - 1)**2 Let z(a) be the second derivative of 0 - 3*a + 0*a**2 + 1/9*a**4 - 1/18*a**3. Determine d, given that z(d) = 0. 0, 1/4 Solve -1/3*b**5 - 8/3*b + 8/3*b**4 + 22/3*b**2 - 7*b**3 + 0 = 0 for b. 0, 1, 2, 4 Suppose 0 = d + 2*d - 3*j - 1...
{ "pile_set_name": "DM Mathematics" }
ltiple of 14 and d(-15)? 28 Let b(r) = -r**2 + 4*r - 3. Let j be b(5). Calculate the least common multiple of 2/(((-6)/j)/3) and 5. 40 Suppose -x - 15 = -3*w, -2*w + 2 = x - 3. Suppose -2*i - 20 = -w*i. What is the smallest common multiple of i and 1? 10 Let b = -80 - -136. Let i be (-2)/3 - b/(-3). Suppose -i = -2*f -...
{ "pile_set_name": "DM Mathematics" }
third derivative of -3*r**2*v**3 - 123*r**2*v**2 + 3*r*v**3 - r*v**2 + r*v - 49*v**3 - 65*v**2 wrt v. -18*r**2 + 18*r - 294 What is the second derivative of -1486519*c**2 - 180895*c? -2973038 What is the third derivative of -4481979*d**3*o + 2653*d**2 - 3*d*o + 4*o wrt d? -26891874*o What is the second derivative of 19...
{ "pile_set_name": "DM Mathematics" }
*n - 143 + 7 = 0. Is 12 a factor of n? False Let t(r) be the second derivative of r**5/30 - 11*r**4/24 + 3*r**3/2 - r**2 + r. Let v(h) be the first derivative of t(h). Is v(7) a multiple of 12? False Suppose 2*x + 0*x - 2 = 0. Suppose x - 13 = 3*j. Is 35 + j*2/(-4) a multiple of 11? False Let v(h) = 20*h. Let p be v(1)...
{ "pile_set_name": "DM Mathematics" }
(u) a composite number? True Let n(m) = -34*m**3 + 8*m**2 + 34*m - 31. Is n(-9) prime? True Let s(o) = -3589*o + 113. Is s(-6) a prime number? True Suppose 2*h + 102 = 2*i + 3*i, 4*i + 204 = -4*h. Is (-2)/(-17) - (1240680/h)/8 composite? False Suppose -2*g + g = -2, 4*g = 3*v + 8. Suppose 4*h = 2*s + 3*h - 9, 2*s - 2*h...
{ "pile_set_name": "DM Mathematics" }
7304 = 4175*m for m. 83 Solve 681334*l = 681356*l + 902 for l. -41 Solve 18*g - 985 = -202*g + 2129 + 4366 for g. 34 Solve -14426 + 84288 + 80780 = -1433*b + 25971 for b. -87 Solve -9936*n + 569740 = -165524 for n. 74 Solve 43745*q = 43712*q for q. 0 Solve -9736 - 5554 = 605*d - 3083 + 6548 for d. -31 Solve -436*i - 1...
{ "pile_set_name": "DM Mathematics" }
*4/5? -2 (-2)/(-2*(-18)/(-30)) 5/3 Calculate (-5)/((1/(-12))/(7/70)). 6 What is (8/48)/(7/(-21))? -1/2 What is (-1)/(3/(-12)*-2)? -2 Calculate ((-2)/(-10))/(238/140). 2/17 Evaluate (1/4)/(7/(-63)*3). -3/4 What is the value of (-3)/6*3*(-16)/(-18)? -4/3 Evaluate 4/((-16)/6)*4/12. -1/2 Calculate (2/(-9)*-3)/(-5). -2/15 (...
{ "pile_set_name": "DM Mathematics" }
(-4)/6*45/6? -5 What is the value of 6/(-11)*(-429)/39? 6 Calculate (16/(-42))/(96/112). -4/9 Evaluate ((-5)/((-20)/3))/((-189)/(-84)). 1/3 What is 4/((-24)/15)*2/(-5)? 1 1*8/(-100)*5 -2/5 What is (96/112*28/(-6))/(-4)? 1 What is the value of ((32/(-6))/8)/((-8)/(-6))? -1/2 What is (8/12)/(42/(-27))? -3/7 (8/(-6))/(20/...
{ "pile_set_name": "DM Mathematics" }
2 - 21 + y + 2*f**2 wrt f. 36*f**2 + 12 Let x(p) be the second derivative of -1988*p**6/15 - 2*p**3 + 9*p**2/2 + 4*p + 193. What is the second derivative of x(i) wrt i? -47712*i**2 Let k(x) be the first derivative of 1358*x**3/3 + 4*x**2 - 42*x - 1094. Find the second derivative of k(c) wrt c. 2716 Let w be 612/17 + (-...
{ "pile_set_name": "DM Mathematics" }
- 6*a + 7 = s for a. 1 Suppose -5*b - 43 = -18. Let j = -1 - b. Let w(i) = -i**3 - 4*i**2 + 3*i - 5. Let y be w(-5). Solve -d - 3 = y*z - j*d, -d - 13 = 3*z for z. -3 Suppose 23 = 2*h - 3*v, -v - 25 = 3*h - 8*h. Suppose -5*k = -h*c - k + 8, -16 = -3*c - 2*k. Solve -3*q + 2*n - c = 0, 3*q - 3*n = -q - 4 for q. -4 Let r...
{ "pile_set_name": "DM Mathematics" }
Let s(p) be the first derivative of 5/4*p**4 + 75*p**3 + 16875*p - l + 3375/2*p**2. Solve s(u) = 0. -15 Let m(c) be the first derivative of -c**4 + 104 - 44*c + 2*c**2 + 44/3*c**3. Let m(n) = 0. Calculate n. -1, 1, 11 Suppose -16*n - 548 = -1092. Let z(p) be the second derivative of -2*p**3 + 0*p**2 + 23/6*p**4 - n*p ...
{ "pile_set_name": "DM Mathematics" }
*o*t**2 + 1211*o - 6*t**4 - t wrt t? -6*o*t + 584*o - 72*t**2 Find the second derivative of 85*l**2 - 597*l wrt l. 170 Find the first derivative of 88*r**4 + 190. 352*r**3 Differentiate -2*c**3*m*x**3 - 19*c**3*m*x**2 - 144*c**3 - x**3 wrt m. -2*c**3*x**3 - 19*c**3*x**2 What is the third derivative of -6762*c**3 + 6949...
{ "pile_set_name": "DM Mathematics" }
thousands digit of 4834? 4 What is the tens digit of 101? 0 What is the thousands digit of 8397? 8 What is the hundreds digit of 1060? 0 What is the tens digit of 8296? 9 What is the hundreds digit of 326? 3 What is the thousands digit of 1176? 1 What is the thousands digit of 5338? 5 What is the tens digit of 5334? 3 ...
{ "pile_set_name": "DM Mathematics" }
- 5*n**2 + (0*n + 2*n - n)*(4*n - 2*n - 4*n) + 0*n**2 + 3*n**2 - 2*n**2 to a + c*n**2 + o*n and give a. 0 Express (4*z - 2*z - 3*z)*(63 - 47 - 88) in the form t*z + r and give t. 72 Express -6*q**4 - 7*q + 7*q**3 + 42*q**4 - 4*q**3 + 5*q - 2*q**4 as w*q**4 + a*q**2 + p*q + v + j*q**3 and give v. 0 Express -4*h - 4*h**...
{ "pile_set_name": "DM Mathematics" }
at is the remainder when 5246402 is divided by 674? 660 What is the remainder when 7221571 is divided by 218828? 247 What is the remainder when 2381164 is divided by 687? 22 Calculate the remainder when 12993 is divided by 933. 864 Calculate the remainder when 3862684 is divided by 321877. 160 Calculate the remainder w...
{ "pile_set_name": "DM Mathematics" }
*(sqrt(5) + (sqrt(15)/(2*sqrt(3) - sqrt(3)) - sqrt(5))))**2. 180 Simplify 6*(sqrt(68) + -1 + sqrt(68) + sqrt(68) + 2)**2. 72*sqrt(17) + 3678 Simplify 5*(sqrt(448) + -1 + sqrt(448)). -5 + 80*sqrt(7) Simplify 6*(4*1*sqrt(605) - sqrt(605))**2. 32670 Simplify 2 + (sqrt(45) - (sqrt(45) - (sqrt(2880) + -1))**2) + sqrt(45). -...
{ "pile_set_name": "DM Mathematics" }
o 7/10 in -1/3, -61, f, -4? f Let i = 21 - 15. Let j = 3.9907 + -0.9907. Which is the closest to -0.1? (a) j (b) 1 (c) i b Let v = 512/231 - 92/33. Which is the closest to -2? (a) v (b) 0.5 (c) -75 (d) 2 a Let s(n) = -n + 3. Let m be s(6). Let h = 234335 + -234339. What is the closest to 2 in m, h, -1? -1 Let m ...
{ "pile_set_name": "DM Mathematics" }
= 1 + -1. Suppose 2*a + 2*c = -20, -2*a - 29 + 2 = -5*c. Let q = o - a. Is q a multiple of 11? True Let a be 8/28 - (-3368)/(-28). Is (a/12)/(2/(-5)) a multiple of 12? False Let h be ((-1)/2)/((-3)/24). Suppose -4*m - 2*m = -528. Suppose -m = -h*p + 4*j, 4*p - 3*j = -2*j + 82. Is 10 a factor of p? True Let a = -17 - -...
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when 989 is divided by 180. 89 What is the remainder when 107 is divided by 22? 19 Calculate the remainder when 524 is divided by 17. 14 Calculate the remainder when 39 is divided by 21. 18 Calculate the remainder when 1187 is divided by 9. 8 What is the remainder when 570 is divided by 250? 70 C...
{ "pile_set_name": "DM Mathematics" }
- 4*b**2 - 12*b + 26. Let j(w) = -3*m(w) + p(w). Let r be j(2). Solve -2*g - 2*t + 5 - 1 = 0, 2*g = 5*t + r for g. 3 Let l(t) = -t**3 + t**2 + 13*t + 18. Let s be (68/(-12) + 5)*3. Let k be l(s). Solve 0 = 3*d + 3*b - k + 13, -3*b - 3 = 0 for d. -2 Suppose -78*a - 4*o - 8 = -80*a, -2 = o. Solve -x - 3*r - 8 = a, -19*x...
{ "pile_set_name": "DM Mathematics" }
the closest to -1/4? (a) 0.2 (b) m (c) -2 b Let u(m) = -m**3 + 2*m**2 + 3*m - 1. Let r be u(3). Let d = -6 - r. Let s be 4/3*(0 + -1). Which is the nearest to -0.1? (a) d (b) s (c) -1 c Let i = -134/7 + 19. Which is the nearest to -0.1? (a) 2/7 (b) i (c) 0.1 b Suppose 0*o + 4*b = -3*o + 2, -4*b + 50 = -5*o. Wh...
{ "pile_set_name": "DM Mathematics" }
t n(a) = 6*a**2 + 240*a + 1537. Calculate n(-32). 1 Let q(w) = 82*w**2 + 1469*w - 43. Determine q(-18). 83 Let r(s) = s**3 + 11*s**2 - 128*s - 982. Give r(-6). -34 Let q(w) = w**3 + 77*w**2 + 1765*w + 41498. What is q(-59)? 21 Let x(a) = 173*a + 58094. What is x(-336)? -34 Let p(d) = d**2 - 27*d - 890. Determine p(-21)...
{ "pile_set_name": "DM Mathematics" }
8 = 0, -2*d + 4*t + 938 - 958 = 0 for d. -2 Solve 37*d + 3 = 39*d + m, -2*m - 30 = -14*d for d. 2 Solve -2*g + 1963*l - 1967*l - 4 = 0, 5*g + 10 = 5*l for g. -2 Solve 0 = -2*v + 5*g + 7, g + 93 = 92 for v. 1 Solve -3*u = -s + 1, -4*u - 1 = s + 12 for s. -5 Solve -4*y + 2*l + 16 = 0, -77*y = -76*y + l - 1 for y. 3 Solve...
{ "pile_set_name": "DM Mathematics" }
ve -4*y = 4*p + 12, -5*p + 25 + 10 = -5*y for p. 2 Solve -3*p - 5*c = -5*p + 14, 2 = 3*p + 2*c for p. 2 Solve -5*g - 25 = -4*j, -2*j = 16*g - 17*g - 11 for g. -1 Solve 2*g - 3*s = 1, 5*g - 19 = -s + 9 for g. 5 Solve -2*q + 5*r - 19 = 0, 9 - 29 = -5*q - r for q. 3 Solve 11*v = 10*v + 3*z - 11, 0 = 4*z - 12 for v. -2 Sol...
{ "pile_set_name": "DM Mathematics" }
n**2 - 5*n + 161. What is i(h) - 3*q(h)? -h**3 + 2*h**2 + h + 161 Let y(a) = -3*a + 4. Let t(p) = 16*p - 21. Let v(l) = -16*l + 21. Let w(x) = 6*t(x) + 7*v(x). Suppose -66 = -148*z + 142*z. Determine z*y(i) - 2*w(i). -i + 2 Let a(t) = -12*t - 12*t + 43*t - 8*t - 12*t. Let w(q) = 4*q - 2. Let j be (-5)/(15/(-6)) - 1. De...
{ "pile_set_name": "DM Mathematics" }
et u be ((-12)/15)/h + 1/5. Solve -4*i = 4 - u for i. -1 Suppose 73 = 6*b + 7. Suppose 12*a = 85 + b. Solve -a = -7*v + 20 for v. 4 Let j(y) = -6*y**3 - 206*y**2 + 140*y + 30. Let r be j(-35). Solve -r*p + 6*p = 72 for p. -3 Let y be -1 + 27*(-40)/(-30). Solve -50 + y = 5*x for x. -3 Suppose -3*b = -3*a - 30, -3*b + 6*...
{ "pile_set_name": "DM Mathematics" }
ose -3*f - 90 = -5*l + 108, 41 = l - 2*f. What is the remainder when l is divided by 21? 18 Let k(t) = -10*t + 5. Calculate the remainder when k(-2) is divided by 3. 1 Let m(l) = l + 36. Let x be m(0). Let y = x - 22. Calculate the remainder when (-159)/(-12)*-1*-4 is divided by y. 11 Let h(w) = w - 5. Let p be h(5). S...
{ "pile_set_name": "DM Mathematics" }
i. -3 Let w(g) = -145*g + 5*g**2 - 18 - 13*g**2 - 2*g**3 + 122*g. Let s be w(-2). Suppose 0 = -0*i - 2*i. Solve -2*v + 5*l + 0*l + s = 0, 2*v - 3*l - 8 = i for v. 1 Let b be 30/3 + (1/3)/((-7)/(-21)). Solve -3*k + 6 = 0, -122*k + b = -q - 119*k for q. -5 Let c = 30 + -16. Let g(k) = -k**2 + 16*k - 24. Let n be g(c). Su...
{ "pile_set_name": "DM Mathematics" }
+ 1. Let m(p) = o(p) + 2*v(p). What is 5*c(a) + 4*m(a)? -2*a**3 - a**2 - 4 Let n(r) = -6*r - 13. Let c(o) = -6*o - 16. What is -6*c(f) + 7*n(f)? -6*f + 5 Let f(y) = -y**2 - 2*y - 90. Let a(s) = -2*s**2 - 4*s - 182. Determine -4*a(j) + 7*f(j). j**2 + 2*j + 98 Let l be 0 + 2 + 3 + -1. Let x(s) = -s**3 + 8*s**2 - 3*s + 8...
{ "pile_set_name": "DM Mathematics" }
ing order. -2, -3/4, -2/5, -0.3, -0.2 Put 3, 6, -20 in increasing order. -20, 3, 6 Sort 41, 4, -4, -2 in decreasing order. 41, 4, -2, -4 Sort -7, -4, -6, -5, 4. -7, -6, -5, -4, 4 Sort 1, -3, -1, -11, 3 in ascending order. -11, -3, -1, 1, 3 Sort -0.02, -4, -9, 3/7. -9, -4, -0.02, 3/7 Put 425, -4, -0.02 in descending ord...
{ "pile_set_name": "DM Mathematics" }
t s(q) be the third derivative of -5*q**9/126 - 23*q**5/60 - 11*q**2. What is the third derivative of s(h) wrt h? -2400*h**3 Let z(x) = x**3 + 12*x**2 + 11*x. Let u be z(-11). Find the third derivative of -4*o + 3*o**2 + u*o - 3*o**3 + 4*o wrt o. -18 Let k(b) = -12*b**4 - 6*b**3 + 1. Let h(l) = -35*l**4 - 17*l**3 + 4. ...
{ "pile_set_name": "DM Mathematics" }
2 (e) 0.3 (f) -1/5 d What is the fourth biggest value in -2, 0.5, -23, -3, -12, 2? -3 What is the smallest value in 1, -137, 0.7, -0.3, 0.5, 0.15? -137 What is the fourth biggest value in 4, -1/2, -1/15, -2/11, -591? -1/2 What is the biggest value in -6375, 1/84, 1/2? 1/2 Which is the fourth smallest value? (a) -3.7...
{ "pile_set_name": "DM Mathematics" }
lve 0 = 36*w - 44*w for w. 0 Solve -25*q = -14*q for q. 0 Solve 0 = 26*l - 28*l + 16 for l. 8 Solve 10*l + 89 - 119 = 0 for l. 3 Solve -5*h - 64 = -99 for h. 7 Solve 12*c - 8 = 10*c for c. 4 Solve 0 = 80*y - 72 - 168 for y. 3 Solve 0 = 9*q - 32*q - 69 for q. -3 Solve -6*x + 13 - 25 = 0 for x. -2 Solve 1 - 8 = -7*z for ...
{ "pile_set_name": "DM Mathematics" }
01010000001 -1243350 (base 7) to base 5 -20141303 Convert 2612265 (base 9) to base 13. 3aba55 Convert -1526665 (base 8) to base 12. -191359 -18b1a05 (base 12) to base 2 -10011110111011101100101 What is -70975 (base 15) in base 8? -1270236 -15203550 (base 6) to base 9 -886453 Convert 102579 (base 13) to base 4. 11233303...
{ "pile_set_name": "DM Mathematics" }
he terms in -6 - 406*j**3 - 2*j**2 + 6 + 1111*j**3 + 721*j**3 - 2*j. 1426*j**3 - 2*j**2 - 2*j Collect the terms in 21*s**3 + 28 - 49*s**3 - 2*s**2 + 18*s**3. -10*s**3 - 2*s**2 + 28 Collect the terms in 56*r**2 + 11 + 16 - 25 + 28*r**2. 84*r**2 + 2 Collect the terms in -11*l + 2*l**3 - 61*l + 72*l + 37*l**2. 2*l**3 + 37...
{ "pile_set_name": "DM Mathematics" }
*3 + 13*y + 9*y - 22*y. -101*y**3 Collect the terms in 429 - 6*s**3 - 429. -6*s**3 Collect the terms in 812790*o**2 + 11*o**3 - 812790*o**2. 11*o**3 Collect the terms in -3*n**2 + 4*n**2 + 6*n**2. 7*n**2 Collect the terms in -20*b**2 - 30*b**2 - 9*b + 51*b**2 + 9*b. b**2 Collect the terms in -89 - 72*w + 89. -72*w Coll...
{ "pile_set_name": "DM Mathematics" }
+ -5? -31 What is 0 + 2 + 33 + (-13 - 11) + (2 - -8)? 21 Evaluate -82 + (20 - (-1 + 4)). -65 Evaluate (-70 - 1) + 164 + -140. -47 Calculate (-240 - (-159 - -58)) + 54. -85 Calculate (83 - (105 + -39)) + (21 - -6). 44 8 + (5 - 13 - -7 - (9 + -7)) - -21 26 Calculate 5 + -16 + 0 + (4 - 0) - -87. 80 What is (-3 - 6 - 0) +...
{ "pile_set_name": "DM Mathematics" }
0*q. Solve q*w + 3 = -2*w - m, 2*w + 6 = -4*m for w. -1 Let x = 17 - 10. Let z(q) = q**3 + 5*q**2 + 6*q + 5. Let s be z(-4). Let i be 0 - s/((-9)/(-6)). Solve 5*y = 2*j - x, -y + i*j + 11 = -2*y for y. -3 Let t = -112 - -133. Suppose -o = -3*o + 6. Solve t = 3*g - o*n, -2*g - 4 = 3*n + n for g. 4 Let q be (-8)/12*(1 + ...
{ "pile_set_name": "DM Mathematics" }
when two letters picked without replacement from {l: 4, q: 3, g: 5}? 1/11 Three letters picked without replacement from horhorrrh. What is prob of sequence rhh? 1/21 Calculate prob of sequence bpbv when four letters picked without replacement from {b: 4, a: 1, y: 1, p: 2, v: 2}. 1/105 Calculate prob of sequence gyoi w...
{ "pile_set_name": "DM Mathematics" }
331)))*6. -66*sqrt(11) - 6 Simplify (6*((sqrt(51)/(-1*sqrt(3)) - sqrt(17))*-6 - (sqrt(102)/sqrt(24) + sqrt(68) + -2)))**2. 1368*sqrt(17) + 55377 Simplify 1 + (sqrt(156)/(sqrt(12) + sqrt(108)*3)*3)**2*-1. -17/100 Simplify (sqrt(500)*-2)/(sqrt(4) + (sqrt(768)/sqrt(12) - sqrt(4)) - sqrt(4)). -10*sqrt(5)/3 Simplify (sqrt(3...
{ "pile_set_name": "DM Mathematics" }
t the terms in -3523 - 10*f**2 + 14111 - 3527 - 3541 - 3522. -10*f**2 - 2 Collect the terms in -73*c**2 - 45*c**2 + 6158*c - 6155*c - 7 + 7. -118*c**2 + 3*c Collect the terms in -40021*t**2 - 281478*t**2 + 277*t - 277*t. -321499*t**2 Collect the terms in -5*w + 27150600 + 3*w**2 - 27150600 + 5*w. 3*w**2 Collect the ter...
{ "pile_set_name": "DM Mathematics" }
Calculate the lowest common multiple of i(p) and 10. 10 Let b(f) = 12*f**2 + 8*f - 4. Let h be b(-3). Let o = h - 30. Calculate the least common multiple of 12 and o. 300 What is the lowest common multiple of 201 and 122/4 - (75/(-10) - -8)? 2010 Suppose -3*m + 18*m - 450 = 0. Calculate the least common multiple of 36 ...
{ "pile_set_name": "DM Mathematics" }
ssuming y is positive. y**(56/5) Simplify u**(-10/9)*u/(u*u*u*u**4*u) assuming u is positive. u**(-73/9) Simplify ((w**2)**(1/4))**40 assuming w is positive. w**20 Simplify (q**0)**(-17/4)/(q**(-3/2)/(q*q**(5/4))) assuming q is positive. q**(15/4) Simplify (r/(r/r**(-1)))/(r/((r**(-4)*r)/r*r))*(r**(1/4)/r*r)**(-2/49) a...
{ "pile_set_name": "DM Mathematics" }
hout replacement from adlkwlak. Give prob of picking 1 l, 1 d, and 2 k. 1/35 What is prob of picking 1 q and 1 u when two letters picked without replacement from eorunqqo? 1/14 Three letters picked without replacement from {q: 1, i: 1, a: 1, m: 1, t: 2, j: 1}. Give prob of picking 1 j, 1 i, and 1 t. 2/35 What is prob o...
{ "pile_set_name": "DM Mathematics" }
6*z*z*z assuming z is positive. z**(199/28) Simplify ((h/(h**(2/3)*h))**(-22))**(2/71) assuming h is positive. h**(88/213) Simplify (x*x/((x*x**(-3))/x))**28 assuming x is positive. x**140 Simplify (d**0/d)**43*(d*d**(3/2)*d)/((d/(d/(d/(d*d**(2/29))*d*d)))/d) assuming d is positive. d**(-2345/58) Simplify (n/n**(-1))**...
{ "pile_set_name": "DM Mathematics" }
for w. -4 Solve 0 = 5*w - 5*r - 25, -6*w - 5*r - 18 = -4*w for w. 1 Solve -5*w - 4*z - 36 = 0, w - 27*z - 4 = -25*z for w. -4 Solve 0 = -4*t + 5*r - 25, 0 = 7*t - 12*t - 8*r + 40 for t. 0 Solve -4*l = -2*p - 6*l - 10, 0 = p + 4*l + 17 for p. -1 Solve 10 = -t + 5, 3*t = 3*n - 3 for n. -4 Solve -5*z = 2*f - 3 + 1, -3*z ...
{ "pile_set_name": "DM Mathematics" }
e factors of 801955713? 3, 13, 20562967 What are the prime factors of 35278810? 2, 5, 7, 503983 List the prime factors of 288222558. 2, 3, 13, 419, 8819 List the prime factors of 1655604200. 2, 5, 29, 131, 2179 What are the prime factors of 106384733? 7, 13, 167009 What are the prime factors of 76519535? 5, 163, 93889 ...
{ "pile_set_name": "DM Mathematics" }
3 Let b(d) = d**3 + 2*d**2 + 2. Let g be b(0). Solve 2*v + 16 = -2*a, 2*v = -g*a + a - 12 for v. -4 Suppose j = -3*i + 13 - 1, 0 = i - j - 8. Suppose -i = -4*a - q, -a + 7 = 2*a + 4*q. Suppose 5 = h + a. Solve 2*v + 3*f + 9 = h*f, 3*v = -3*f for v. -3 Let q = -319 - -319. Solve -3 = 3*o - z, q*o - 6 = -o - 2*z for o. 0...
{ "pile_set_name": "DM Mathematics" }
**2 - 21*c. -3*c*(c + 7) Determine y so that 14*y**4 - 640*y**3 - 198*y**2 + 640*y + 184 = 0. -1, -2/7, 1, 46 Factor -3*l**4 - 75*l**3 - 66*l**2 + 144*l. -3*l*(l - 1)*(l + 2)*(l + 24) Find b, given that 2*b**2 - 64*b - 66 = 0. -1, 33 Factor 75*f**3 + 122*f**2 + 45*f - 2. (f + 1)*(3*f + 2)*(25*f - 1) Factor 3*n**2 + 18*...
{ "pile_set_name": "DM Mathematics" }
et m = 3986071/12 + -331932. Let z = m - 237. What is the common denominator of (-1 - 58)/(1*15) and z? 60 Suppose -18*h + 2038 = -482. Calculate the common denominator of ((-275)/h - -1 - -1)*-110 and 37/68. 476 Let o = -52 - -58. Find the common denominator of o/(-12)*123/36 and 23/42. 168 Let c(b) = -b + 2. Let z be...
{ "pile_set_name": "DM Mathematics" }
ithout replacement from wwwwhwwwhwh. 28/165 Four letters picked without replacement from {u: 4, h: 1, i: 1, k: 1, s: 1}. What is prob of sequence kuui? 1/140 What is prob of sequence jxj when three letters picked without replacement from djvxxxexeeddjxxxdej? 7/969 What is prob of sequence uttt when four letters picked ...
{ "pile_set_name": "DM Mathematics" }
d derivative of w(p) wrt p? 36*p**2 Let q(b) be the first derivative of b**9/252 + b**5/60 - b**2 - 4. Let f(r) be the second derivative of q(r). Find the third derivative of f(g) wrt g. 240*g**3 Suppose 3*w - 4 = -n + 4*w, 0 = 4*w + 4. What is the first derivative of -7 + 10*d**3 + 2 - 4*d**3 + 2*d**n wrt d? 24*d**2 L...
{ "pile_set_name": "DM Mathematics" }
88951975286.953 What is 0.2349762961 - -27.5? 27.7349762961 Calculate -293594097 - -10.85. -293594086.15 Add together -187 and 11802299934. 11802299747 Total of 0.4566 and -6904683193. -6904683192.5434 What is 124603.5092747 - 0.543? 124602.9662747 What is 0.2 take away 16885486.2689? -16885486.0689 What is -56282 take...
{ "pile_set_name": "DM Mathematics" }
27000000 Let f be (-9)/27 + (-179466)/9. Round f to the nearest 10000. -20000 Let j be -13661*(-12)/2*-4. Let m = 374136 - j. Suppose 8*n - m = -n. Round n to the nearest ten thousand. 80000 Let r = -625 + 6707. Let d = r + -9421. What is d rounded to the nearest one hundred? -3300 Let l = 494.1444 - 494. Let b = 0.132...
{ "pile_set_name": "DM Mathematics" }
-117900 or -1179003/10? -1179003/10 Which is smaller: -324391 or -324392? -324392 Are 15006 and 15125 equal? False Which is smaller: -1.4 or -26355? -26355 Is -18821 < 1? True Is -5/6 at most -9944? False Which is smaller: 944 or 423? 423 Are 1521215 and 1521214 non-equal? True Which is smaller: 1 or 7/1879114? 7/1879...
{ "pile_set_name": "DM Mathematics" }
ing order. -14, -5, -1, 0.1 Put -21.3, -0.1, -2, 2/5 in descending order. 2/5, -0.1, -2, -21.3 Sort 5, 7633, 3 in increasing order. 3, 5, 7633 Put -9, 2, 1/6 in decreasing order. 2, 1/6, -9 Put -1, 0, -5, 19 in ascending order. -5, -1, 0, 19 Sort -2/3, -5, 14 in decreasing order. 14, -2/3, -5 Sort 5, 58, 2 in increasin...
{ "pile_set_name": "DM Mathematics" }
. Calculate k(f). 6 Let w(d) be the third derivative of -d**6/120 - 3*d**5/20 + 13*d**4/24 + 4*d**3/3 + 15*d**2 + 5. Calculate w(-10). -22 Let c(i) = 9*i**3 - i**2 - i. Let t be ((-14)/21)/(2/3). Give c(t). -9 Suppose -7*u + 8*u = 3. Let x(m) = -4*m**2 - 13 + 37 - 15 + 5*m + u*m**2. Calculate x(7). -5 Let t(b) = -b**2 ...
{ "pile_set_name": "DM Mathematics" }
ment from {q: 2, t: 1, w: 1, n: 3}. Give prob of picking 1 w and 1 t. 1/21 Four letters picked without replacement from ltlltllilill. What is prob of picking 2 i, 1 t, and 1 l? 16/495 What is prob of picking 3 j when three letters picked without replacement from {o: 1, w: 4, j: 3}? 1/56 Three letters picked without rep...
{ "pile_set_name": "DM Mathematics" }
rt(539) + -1)))*1. -56*sqrt(11) + 6473 Simplify (((2*sqrt(576))/(sqrt(128)*2) - (2 + sqrt(72)*1)*3) + 4)**2 + 4. 66*sqrt(2) + 1105/2 Simplify 2 + 5*(4 + sqrt(72)*-1)**2 + -3*(sqrt(72) + 3)*4. -312*sqrt(2) + 406 Simplify (-6*(sqrt(275) + -1) + sqrt(275) + -1 + 1 + sqrt(275) + sqrt(275) + sqrt(275))**2 - 4*-1*-6*sqrt(176...
{ "pile_set_name": "DM Mathematics" }
nutes are there between 5:59 AM and 7:21 AM? 82 What is 102 minutes after 10:37 PM? 12:19 AM How many minutes are there between 11:56 PM and 4:59 AM? 303 How many minutes are there between 1:16 AM and 1:56 AM? 40 What is 624 minutes before 9:46 PM? 11:22 AM How many minutes are there between 12:54 PM and 7:42 PM? 408 H...
{ "pile_set_name": "DM Mathematics" }
factor of 98 and 1134. 14 What is the highest common divisor of 48 and 26808? 24 Calculate the greatest common divisor of 375 and 50. 25 What is the highest common divisor of 198 and 7029? 99 What is the highest common divisor of 116 and 1885? 29 What is the greatest common divisor of 1015 and 175? 35 Calculate the hi...
{ "pile_set_name": "DM Mathematics" }
(-29*p - 4212 + 8429 - 4211) to n*p + l + h*p**2 + u*p**3 and give h. -162 Rearrange (-192 + 496 - 201 - 104 + 581*i)*(2*i - i - 3*i) to the form o + l*i + h*i**2 and give h. -1162 Rearrange (4*r**3 - 5*r**3 - 3*r**3)*(-22*r - 35*r + 25*r + 3*r + 0*r - 2*r + (3*r + 0*r + 0*r)*(-1 + 5 - 3)) to j + v*r**2 + d*r**3 + m*r*...
{ "pile_set_name": "DM Mathematics" }
e -105 = -5*b + 5*s, -4*b + p*s + 42 + 45 = 0. What are the prime factors of b? 2, 3 Let q = -42323 - -108155. List the prime factors of q. 2, 3, 13, 211 Let r = -10 + 40. Suppose -t + 10 = -3*y - 0*t, 5*t + r = -y. List the prime factors of y/(-15) + (-96)/(-9) + -2. 3 Let x(w) = 13*w**2 + w - 609. What are the prime ...
{ "pile_set_name": "DM Mathematics" }
123 + 1128*b - 560*b + 197 - 566*b. Let y(c) = -6*c**2. Determine t(y(r)). -12*r**2 + 725 Let k(g) = 3*g. Suppose 4*b = 4 + 20. Let c(r) = 4*r**2 + 8*r. Let p(j) = 4*j**2 + 6*j. Let f(z) = b*p(z) - 4*c(z). What is f(k(h))? 72*h**2 + 12*h Let a(z) be the second derivative of -z**3/3 - z. Let v(w) = 36*w + 4*w - 7*w - 14...
{ "pile_set_name": "DM Mathematics" }
for f. 13 Solve 4616 + 730 = -64*w - 179*w for w. -22 Solve 79*i - 533 = 8*i + 958 for i. 21 Solve -285 + 683 = -199*b for b. -2 Solve 16051 = 76*j + 15443 for j. 8 Solve 453*k + 2002 + 8870 = 0 for k. -24 Solve -271*f = 100 - 913 for f. 3 Solve -310*v + 695 - 5965 = 0 for v. -17 Solve 94*l - 28 + 122 = 0 for l. -1 So...
{ "pile_set_name": "DM Mathematics" }
04 - 43604 - 5323*s)*(2*s + 1 - 1) to i + o*s**2 + h*s and give o. -10646 Express 142*f - 284*f + 558*f**2 + 142*f - 1918*f**2 as u*f + y*f**2 + h and give y. -1360 Express (-1 - 2 + 5)*(88*n - 654 + 654) - 4*n + 2*n + 0*n + (0 + 4 - 2)*(-n + 0*n - n)*(1 + 9 - 3) in the form b + k*n and give b. 0 Express 1 - 2*t + 4*t*...
{ "pile_set_name": "DM Mathematics" }
er: -7 or l? l Suppose 0 = m + 2*m - 756. Let s be 16/m + (-2)/7. Let j(r) = -r. Let x be j(-1). Which is bigger: s or x? x Suppose 4*f - a = 0, f = a - 0*a. Let t = 4/15 + -38/255. Is f <= t? True Suppose 5*a + 17 = 2*t, -2*t = -t - 2*a - 7. Let l be 0 + 1 + (-22)/18. Which is smaller: l or t? l Let d = -9/124 - -10/3...
{ "pile_set_name": "DM Mathematics" }
- 2. Let b(t) = -2*q(t) - 7*y(t). Let k(c) = c + 1. Calculate 2*b(n) - 6*k(n). 2*n**2 + 6*n - 2 Let f(w) = -249*w**3 - 3*w**2 + 8*w + 2. Let j(r) = -125*r**3 - r**2 + 3*r + 1. What is 3*f(p) - 7*j(p)? 128*p**3 - 2*p**2 + 3*p - 1 Let s(f) = 36*f**3 + 5*f**2 + 2096*f - 5. Let u(p) = -29*p**3 - 4*p**2 - 2096*p + 4. Deter...
{ "pile_set_name": "DM Mathematics" }
*3 - b**3. 5*b**3 Expand 2*w**2 + 0 - w - 1 - w**2 - 4 + w**2 + 4 - w + 2*w**2 + w + (3*w - w + 0*w)*(-2*w + 4*w + 0*w) + 5*w**2 - 5*w**2 - 5*w**2. 3*w**2 - w - 1 Expand (0*g + 5*g - 12*g - 11*g)*(-g**2 - 1 + 1). 18*g**3 Expand -4 + 4 + 2*v**3 + (-2*v + 5*v - 2*v)*(-2*v**2 + 2*v**2 + 2*v**2) - 4*v**2 + 2*v**3 + 6*v**2 ...
{ "pile_set_name": "DM Mathematics" }
+ 7204. 4*(z - 1801)*(z - 1) Suppose x**3/2 + 11*x**2/2 - 7*x - 12 = 0. Calculate x. -12, -1, 2 Let -2*u**5/5 + 28*u**4/5 - 76*u**3/5 - 64*u**2/5 + 222*u/5 + 36 = 0. What is u? -1, 3, 10 Factor 2*m**3/11 - 170*m**2/11. 2*m**2*(m - 85)/11 Factor 5*k**3 + 53*k**2 - 152*k + 52. (k - 2)*(k + 13)*(5*k - 2) Let -192027*p**2 ...
{ "pile_set_name": "DM Mathematics" }
- 7*u**2 - 8*u - 4 What is the r'th term of 90302743, 180605487, 270908231? 90302744*r - 1 What is the d'th term of -5002773, -5002774, -5002775, -5002776, -5002777? -d - 5002772 What is the z'th term of 51808, 51155, 50502, 49849, 49196, 48543? -653*z + 52461 What is the p'th term of 5313, 22359, 50763, 90519, 141621?...
{ "pile_set_name": "DM Mathematics" }
1 Express 59 + 18*d**2 + 53 - 170 + 64 + 4*d**3 + 5*d**4 - 3*d**4 as z*d**2 + v*d**4 + x + r*d**3 + i*d and give v. 2 Express 14797 - 7405 - 7392 + 15449*i**2 in the form w*i**2 + y + j*i and give j. 0 Express r**2 - 1476*r - 5664*r - 2451*r + 273*r in the form b + j*r + q*r**2 and give q. 1 Rearrange 31 - 45*l**2 - 5...
{ "pile_set_name": "DM Mathematics" }
- 2*p + 3*p + 53 - 24. Calculate d(-6). -7 Let y(j) = -6*j + 33. Let r(q) = -q + 5. Let t(o) = -5*r(o) + y(o). What is t(-6)? 14 Let d(a) be the second derivative of -a**7/840 + 7*a**6/360 - 7*a**5/120 + 7*a**4/24 + 3*a**3 + a. Let j(h) be the second derivative of d(h). Give j(6). 1 Suppose 0 = -2*k - 3*m - 21, -4*m =...
{ "pile_set_name": "DM Mathematics" }
4) - (-7 - 1)? 91 Suppose m + 8 = 3*m. Suppose -5*d + 28 + 7 = 0. Calculate the lowest common multiple of d and 12/(((-6)/(-10))/(6/m)). 210 Let y be 1214/(-8)*(-8 + 4) + 0. Let o = y - 6686/11. Calculate the common denominator of o and -74/9. 99 Let a be (0 - 147)*18/(-27). Suppose -4*i + a + 10 = 0. What is the least...
{ "pile_set_name": "DM Mathematics" }
n a prime number? False Suppose -n = 5 - 9. Suppose -2*k - 5*v + 893 = -2*v, 0 = 4*v - n. Is k a prime number? False Suppose 7*u - 10*u = 3861. Let v = -754 - u. Is v a prime number? False Let a(d) = -45952*d - 161. Is a(-1) prime? False Let m(s) = 1 - 8*s + 4*s + 7*s. Let t be (-2)/(-8) + 282/24. Is m(t) prime? True ...
{ "pile_set_name": "DM Mathematics" }
prob of sequence sfzj when four letters picked without replacement from psjjzlf. 1/420 Four letters picked without replacement from lclccyyyqzlll. What is prob of sequence zycc? 3/2860 Three letters picked without replacement from zum. Give prob of sequence muz. 1/6 Calculate prob of sequence ca when two letters picke...
{ "pile_set_name": "DM Mathematics" }
ive o*r(d) + 2*l(d). -5*d Let b(f) = -1. Let m(z) be the second derivative of -z**4/6 + 5*z**2/2 - 6*z. Calculate -4*b(t) - m(t). 2*t**2 - 1 Let q = -5 + 4. Let z = 2 - q. Let r(v) = 4*v**3 - v**2 + 3. Let n(k) = -7*k**3 + 2*k**2 - 5. Determine z*n(u) + 5*r(u). -u**3 + u**2 Let k(m) = -3*m**3 + 3*m + 1. Let p(o) = 1 + ...
{ "pile_set_name": "DM Mathematics" }
-4*j + 9*l - 4 = 7*l, -4*j - 8 = -l for j. -3 Solve d = -3*v + 9, 0 = 5*d - 2*d - 5*v + 15 for d. 0 Solve -12*s - 2 = 2*y - 13*s, 2*y - 4*s = -14 for y. 1 Solve 5*k + 15 = 11*y - 15*y, -3*k = 5*y + 22 for y. -5 Solve -k - 5*p + 29 = 0, k - 4*p - 2 = -18 for k. 4 Solve 2*v = w + 13 - 3, -3*v + 3*w + 18 = 0 for v. 4 Solv...
{ "pile_set_name": "DM Mathematics" }
s v prime? False Let a(i) = -303*i**2 - 1. Let o be a(1). Let s = o + 437. Is s a composite number? True Let o(j) = 2*j + 2. Let f(x) = -x - 3. Let k = -6 + -3. Let d be f(k). Is o(d) a composite number? True Suppose 2*h - 3*a - 48 + 13 = 0, 3*h = a + 56. Suppose -h = -o + 2*s + 24, o + 4*s = 67. Is o a prime number? F...
{ "pile_set_name": "DM Mathematics" }
h*y + x*y**2 + b and give h. -39 Express 6*q**2 + 41*q**2 - 3 - 15969*q + 15973*q + 4 in the form o*q**2 + p*q + z and give z. 1 Rearrange 533*o - 1592*o + 28*o**2 + 532*o + 531*o to the form k + l*o + r*o**2 and give l. 4 Rearrange (126*k - 81*k + 60 - 41*k)*(-12 - k + 12) to the form i*k**2 + s*k + t and give i. -4 E...
{ "pile_set_name": "DM Mathematics" }
97*w**2 - 619*w**2. Let g(f) = -11*a(f) + 3*n(f). Give q(g(c)). -22*c**2 Let a(m) = m + 35. Suppose -6*n = -8*n + 1010. Let d(x) = -n*x**2 + 255*x**2 + 252*x**2. Calculate d(a(t)). 2*t**2 + 140*t + 2450 Let o(u) = u**2 + 7. Let l(t) be the second derivative of -2*t**4/3 - 4*t + 9. What is l(o(p))? -8*p**4 - 112*p**2 - ...
{ "pile_set_name": "DM Mathematics" }
69 divided by -5 -9569/5 What is 407636 divided by 4? 101909 What is -98 divided by 8409? -98/8409 Calculate 1582 divided by -113. -14 -233668 divided by -4 58417 What is 0 divided by 105669? 0 What is 1378800 divided by -720? -1915 What is -29349 divided by 1? -29349 What is 524731 divided by 524731? 1 What is 421275 ...
{ "pile_set_name": "DM Mathematics" }