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495 = 4*t - 91. Let p = t + 3308. Is p prime? False Suppose 4*s = 4*g + 8*s - 9800, -3*g + 7344 = 5*s. Suppose -2*h + 2613 + g = 0. Is h prime? False Is -21 + 1769/87 + (-235762)/(-6) prime? True Let x(u) = -139539*u + 632. Is x(-5) a composite number? True Let b be -2 + (-32)/(-15) + 2944784/(-1230). Let g = b - -27725. Is g a prime number? False Suppose -309*i + 316*i - 3374050 = -5*q, -2*i - 3374005 = -5*q. Is q prime? False Let r = 1 + 6. Suppose 0 = 3*i + 1 - r. Is i/4 + 936/16 composite? False Let q be (-9)/(-99) + (-441975)/(-55). Let v = -5279 + q. Is v composite? True Suppose -n - 8314 = 129*t - 133*t, 0 = t + n - 2071. Is t a prime number? False Suppose -32703 = -3*h - 4*l, -64*l + 43666 = 4*h - 69*l. Is h prime? True Suppose 0 = -13*v + 151 + 616. Let c = 170 - v. Is c a prime number? False Let r be (5 - (-15064 - 1)) + (-4)/(-2). Let c = r + 9427. Is c prime? True Let v(j) = 2*j - 6. Let f be v(9). Suppose f = -g + 268. Let o = -174 + g. Is o a prime number? False Let y be (3 + 3 + -4)*1. Suppose 2*a = -y*z - 3307 + 14777, 3*a - 17201 = -5*z. Is a a composite number? False Let i be 10 + 3 + -3 + -2. Let c be (4/8)/(34/i - 4). Suppose -s = b - 1708, 5*s - c*b + 3891 - 12424 = 0. Is s a composite number? True Suppose -4*p - 22638 = i, 28289 = -5*p + i + 2*i. Let x = p - -12012. Is x a composite number? False Let m = -513 - 2103. Let z = m - -4795. Is z a composite number? False Suppose 35123*i = 35117*i + 378294. Is i composite? True Let n(q) = 4*q - 38. Let t be n(12). Suppose 4*d - t*d = -2286. Is d a composite number? True Is (5499/234)/(3/762) prime? False Suppose 3*r + 6 = 6*r. Suppose 0 = 2*t + 3*x - r*x - 41, -3*t = x - 62. Suppose 0 = -5*i + t + 9. Is i prime? False Suppose 402182 - 152033 = 3*m. Is m a prime number? True Let c = 101086 + -32453. Is c a prime number? True Let u be -10*2/4*-211. Let o be 11 + (-132)/(19 + -7). Suppose -u = -o*v - v. Is v composite? True Let x = 880289 + -522522. Is x a prime number? True Let u(x) = -346*x - 3. Let c be 2*4 + (-30)/5 + 3. Suppose 3*z + 2*m + 18 = 0, z = -0*z + 3*m + c. Is u(z) composite? False Suppose 2457 + 3213 = 3*j. Let h = 69 + j. Is h a prime number? False Suppose -13284478 = -15*q + 15*q - 46*q. Is q a prime number? False Let h(b) = -253*b + 8. Let z = -224 - -217. Is h(z) composite? True Let j = 831 + -788. Suppose j*r - 1664350 = -7*r. Is r a composite number? False Let m = 2200 + -1073. Let i = -518 + m. Suppose -q + 3*q = -n + 301, -2*n = -3*q - i. Is n prime? False Let g(v) = v**3 - 16*v**2 - 16*v - 11. Let o be g(17). Let j be o/(-21) - (-150)/35. Suppose j*t - 247 = 225. Is t a prime number? False Suppose 19 - 57 = -19*z. Suppose 25*b - 26473 = z*b. Is b prime? True Let f = -267 - -288. Is 2 + (-44)/f - (-60360)/63 composite? True Suppose 19*d + 52*d = 19519817. Is d a prime number? False Let w(o) = o**3 + 8*o**2 + 7*o + 4. Let y = 0 + -5. Let n be w(y). Is 22916/44 - (-8)/n composite? False Let x(o) = -50148*o**3 + 6*o**2 - 3*o - 17. Is x(-2) a prime number? False Let i be ((-2)/6)/(5 - (-61)/(-12)). Is (-2898)/(-6) - i*-1 a prime number? True Let i(f) = 74*f**2 - f - 53. Let n be i(26). Suppose 12*u = 5507 + n. Is u composite? False Suppose 30*a = c + 26*a - 32399, c - 5*a = 32393. Is c a composite number? False Let w(r) = 15*r**2 + 8*r + 25. Let f be w(-5). Suppose -2*j + 86 + f = 0. Is j a prime number? True Let z(s) = -111*s - 10. Let r(n) = -111*n - 11. Let o(g) = -5*r(g) + 6*z(g). Let h be o(6). Let f = h + 1360. Is f a prime number? False Suppose r = 2 - 3. Let n(t) = -2*t**3 - t**2 + 4*t + 3. Let h be n(r). Suppose -5*s + 4790 = 5*f, h*f = 2*f - s - 1919. Is f a prime number? False Let m(q) = -41494*q**3 - 2*q**2 + 5*q + 4. Is m(-1) a composite number? False Let x = 2317 + 1146. Suppose 4*a - 19372 = -g, 4*g - x = -a + 1380. Is a prime? False Let t be 1/((-112)/(-40) + -3). Is (10725 - (t + 11)) + 2 prime? False Let g(f) = -f**3 + 2*f + 42. Let u = -16 - -16. Let q be g(u). Suppose 57 = k + 5*o - o, -o = k - q. Is k a prime number? True Let c(i) = -4194*i + 5465. Is c(-52) a composite number? True Let f(o) = -4*o**3 - 285*o**2 - 290*o**2 - 18*o + 579*o**2 - 85. Is f(-13) prime? True Let m be -5 + -3 + 30/3. Suppose -6*w = -4*w - m, 5*q = -4*w + 2619. Let d = q - -40. Is d a composite number? False Let q(m) = 147856*m**2 + 34*m - 9. Is q(1) composite? False Suppose 3*k = 3*x - 4*x - 1462, -5*x - 1478 = 3*k. Let y = -113 - k. Is y prime? True Let t = 16705 - -21584. Is t prime? False Suppose -3*j = -5*y - 18282, -8*y + 7*y + 24353 = 4*j. Is j prime? True Suppose -u = 37 - 4. Let c = u - -38. Suppose c*f + 491 = 4*d, -2*d + 4*f = -4*d + 226. Is d prime? False Is 778963/15 - 1524/(-11430) a composite number? True Suppose -2*a = 3*a - 3*s - 120, 2 = a - 5*s. Suppose -3*v = -6*v + a. Suppose v*k = 13*k - 1916. Is k prime? True Suppose -5*k = -8*f + 4*f - 55, -k = f - 20. Suppose 10*u - k*u + 4345 = 0. Suppose u = 2*r - 4*i - 685, -i - 1560 = -2*r. Is r a prime number? False Suppose -5*l = 3*v + 1513, 2*v = 8*l - 3*l + 1533. Let w be (-2)/(-12) + l/(-6). Suppose -w = s - 200. Is s a composite number? False Suppose -8*n - 73*n = 44*n - 929375. Is n a composite number? True Suppose 7*k - 140 = -0*k. Let a be ((-92)/k + -2)*(-1 + -44). Suppose u - a = -44. Is u prime? False Suppose -34*z - 11873244 + 3796982 = -116*z. Is z a prime number? True Let x(p) = -p**3 + 2*p**2 + 4*p - 535. Let c be x(0). Let q = 1208 + c. Is q composite? False Let v(s) be the first derivative of 25*s**2 + 27*s + 79. Is v(20) a composite number? True Let t = 29826 - 53818. Is 1/(-2) + t/(-16) a prime number? True Suppose 158*q = -324*q + 20643578. Is q prime? True Let a(k) = 12*k**2 - 7*k + 282. Is a(31) a prime number? True Is (2648922/(3 - -3))/((-6)/((-24)/4)) a prime number? False Let b = 68 + -68. Suppose -h - 33 - 12 = b. Let y = h + 722. Is y prime? True Is (-4 - 540/(-126)) + (-171286)/(-14) composite? True Let f(i) = 17*i**2 - 174*i - 56. Is f(15) a prime number? False Let b(n) = -769*n - 652*n + 165*n - 129. Is b(-7) composite? False Let u be 2 - (-7 - -11) - 18264. Is ((-2)/(-10)*5)/((-2)/u) a prime number? True Let c(q) = -568*q - 3583. Is c(-29) prime? True Suppose -1079 = -14*b - 127. Is (1343 + 3)/(8/b) prime? False Let s be 5 + (-4)/(16/(-4)). Suppose 7*a + s = 20. Suppose -a*j + 386 = 4*l, 2*j - 3*l + 0*l - 358 = 0. Is j a prime number? False Suppose -3*r = -2*t + 3, r = 4*t - r + 6. Let s be (1 - 1)/t*-1. Suppose 2*k - 4*k + f + 2123 = s, f - 5304 = -5*k. Is k prime? True Let t(s) = -s**2 - 2*s + 6. Let r be t(-3). Suppose f + 41 = -5*q, r*f - 3*q = -2*q - 43. Is 1 + ((-2)/(-8) - 17084/f) a prime number? True Let b(q) = 5*q**2 + q - 2 - 5*q**2 + 5*q**2. Let n be b(1). Suppose -n*s = -s - 921. Is s prime? True Suppose 5*s + 10*k - 27 = 8*k, 4*s + 2*k - 22 = 0. Suppose -33133 = -4*j + s*r, -4*j + 15*r = 16*r - 33151. Is j prime? True Suppose 40*h + 2128 = 32*h. Let x = 1557 - h. Is x composite? False Suppose 4*a = 3*a + 3. Suppose -100 = -5*p - 2*g + 3*g, -5*p - a*g = -120. Is p/(-14)*(-2274)/9 a composite number? False Let z = 52 - 42. Suppose -1887 = -z*s + 7*s. Is s a prime number? False Let b(q) = -2151*q - 2612. Is b(-31) prime? False Let r = 594 - -5056. Let j = r + -1241. Is j a prime number? True Let k = -34626 - -164695. Is k composite? False Let x be (-22)/(-6 + 4 - 0). Let s = x - 10. Let y(f) = 104*f**3 - 2*f**2 - f + 2. Is y(s) a prime number? True Is (-6872946)/114*((-1)/2)/((-7)/(-14)) a prime number? True Suppose 0 = 12*k - 29823 - 112473. Suppose 6 = 3*o - 0. Suppose -j + k = 5*z, -j = 2*z - o*j - 4739. Is z a composite number? False Let x be ((-18)/(-27))/(1/(-3)). Let d be 3*x/(-1) + -1. Suppose d*q + q = 2454. Is q a composite number? False Suppose -35*y - 64508 + 226373 = -94580. Is y a prime number? False Let t be 13345/(-119) - (-2 + (-13)/(-7)). Let b = 112 + t. Suppose b = -5*h - 1802 + 8017. Is h composite? True Suppose 112 = -4*p - 16. Let f(t) = 3*t**2 + 59*t - 75. Is f(p) a prime number? True Let r be (-14*1)/(20/(-10)). Suppose 9 = r*f - 19. Suppose f*j - 1936 = 604. Is j composite? True Let q = -42 + 49. Let g(a) = 290*a - 43. Is g(q) prime? True Let c = -166 + 169. Is 142527/7 - (-1)/(c/6) composite? True Let c(z) = -2*z - 36. Let b be c(
{ "pile_set_name": "DM Mathematics" }
- 4 + 4)*(-255*b - 6*b**3 + 255*b). -72*b**4 Expand (4*r - r + 2*r)*(25 - 1 - 5)*(r + 2*r - 2*r). 95*r**2 Expand (-4*x**2 + 4*x**2 + 2*x**3)*(-74*x + 929*x - 73*x + 409*x). 2382*x**4 Expand (-2 + 3 + 2)*(-64*f - 51*f + 65*f + (-2 + 2 - 1)*(2 + f - 2) + 0*f + 2*f - 5*f). -162*f Expand (8 - 5 - 17)*(-1 + 2*z**5 + 1) - 18*z + 12*z + 8*z + 26*z**5. -2*z**5 + 2*z Expand (25*b**2 + 151163 - 15*b - 151163)*(-2*b + 2 - 2)*(5 - 2 - 2). -50*b**3 + 30*b**2 Expand (2*q - 2 + 2)*(-2 + 3 - 3)*(232*q**2 - 8083 + 8083). -928*q**3 Expand (0*u - 2*u + 0*u)*(15 + 4 - 63)*(3 + 2 - 3)*(-3 + 3 - 2)*(2 + 1 - 1). -704*u Expand -2*z + z**3 + 2*z - 3*z**3 + 22*z**3 + 3*z**3 + (-3*z**2 - z**2 + 5*z**2)*(3*z - z + 0*z) + 4*z**3 + 7*z**2 - 7*z**2. 29*z**3 Expand (-83 + 105*x**4 + 83)*(-x - 4*x + 3*x - 3*x + 2*x - x + (2*x - x - 2*x)*(-1 + 2 + 0) + 0 + 0 + 2*x - 17 - x + 17). -420*x**5 Expand -8*g**2 + 8*g**2 - 12*g**4 - 3 + (-3 + 3 - 1)*(-5*g**4 + 2*g**4 + 2*g**4) + g**4 + 5*g**4 - 2*g**4 + g**2 - g**2 + 2*g**4 + 4*g**4 - g**4 - g**4. -3*g**4 - 3 Expand (i**3 + 2*i - 2*i)*(-122*i**2 + 13*i**2 - 61*i**2)*(2 + 4 - 3). -510*i**5 Expand -5*x**4 - 10 + 10 + (-3*x**2 - 16*x**2 + 3*x**2)*(5*x**2 - 3*x**2 - x**2). -21*x**4 Expand (-10 - 13 + 7)*(6*o**2 + 2*o**2 + 0*o**2). -128*o**2 Expand -5*f**3 + 11*f**3 - 33*f + 36*f + (-2*f**3 - f**3 + f**3)*(-3 - 2 + 3) + 2*f**3 + 0*f**3 - f**3 + (-2*f - 2*f + 5*f)*(-2*f**2 + 4 - 4). 9*f**3 + 3*f Expand (11*p - 8*p - 9*p)*(-p**4 - p**4 - 2*p**4) + 1 + p**5 - 1. 25*p**5 Expand -5*z**3 + 4*z**5 + 5*z**3 + (0*z**4 + 2*z**4 - 4*z**4)*(-2*z + 3*z - 3*z) + (0*z**3 - z**5 + 0*z**3)*(41 - 75 + 46). -4*z**5 Expand (-y + y**5 + y)*(0 - 3 + 2)*(-521 + 103 + 203). 215*y**5 Expand -25*i**2 + 41*i**2 - 28*i**2 + (0 + 0 - 2*i)*(-3*i + i + 3*i). -14*i**2 Expand 11*c**4 + 160*c**4 + 136*c**4 + 4*c**4 - 4*c**4 - c**4 + 2*c**4 - c**4 - 3*c**4 + (2*c**3 + 2*c**2 - 2*c**2)*(0 - c + 0) - 3*c**4 + 2*c**4 + 0*c**4. 301*c**4 Expand (-4*x + 6*x - 3*x)*(83 - 21 - 41) - 3 + x + 3 - 4*x + x + 0*x + 2 - x - 2. -24*x Expand (2*q + 0 + 0)*(0*q - 6*q - 3*q + (-1 - 2 + 5)*(-10*q + 3*q + q)). -42*q**2 Expand (-2*n - 1 + 1)*(n**2 + 0*n**2 - 4*n**2)*(-2*n + 16*n - 2*n). 72*n**4 Expand (-2 + 3 - 5)*(4*s**3 - s**3 - 2*s**3) + (29*s**2 - 48*s + 48*s)*(3 + 1 - 1)*(-3 + 3 - 4*s) - s**3 - 2 + 2. -353*s**3 Expand (-5*i + 4*i + 4*i)*(-11 + 122 - 63). 144*i Expand -16*a + 3*a**3 + 16*a + (0*a**2 + 0*a**2 + a**2)*(8 - 18*a - 8) + 0*a - 2*a**3 + 0*a + 3*a + a**3 - 3*a. -16*a**3 Expand (8*n - 16*n - 13*n)*(0 - 10 - 9)*((-2*n + 1 - 1)*(-2*n**2 + 3*n**2 + n**2) + 2*n**3 + 3*n**3 - 4*n**3). -1197*n**4 Expand (f**3 + 0 + 0 - f**2)*(-6*f + 25*f + 6*f) - f**2 - 2*f**2 - f**4 + 3*f**4. 27*f**4 - 25*f**3 - 3*f**2 Expand (127*z**2 - 13*z**2 + 127*z**2)*(-3*z**2 + 2*z**2 + 4*z**2). 723*z**4 Expand (-3 + 3 + 2)*(-1 - 2 + 2)*(f - 5*f - f - f + 3 - 3 + (-1 + 1 + 1)*(-3*f + 3*f + 2*f) + 4*f - 4*f + f). 6*f Expand (-634 + 719 - 2*s - 397)*(3 - 2 - 2). 2*s + 312 Expand 597*j**2 + 4 - 366*j**2 - 1 + (0 - 2 + 3)*(3*j**2 - 5*j**2 + 0*j**2). 229*j**2 + 3 Expand 2*v**3 - 4 + 4 + 2 + 5*v**3 - 2 + (0*v + 3*v - v)*(4*v**2 + 5*v**2 - 3*v**2). 19*v**3 Expand (-4 - 4 + 5)*(-89 + 89 + 8*t**3 + (-2 - 1 + 2)*(t**2 + t**3 - t**2) - t**3 + 3 - 3). -18*t**3 Expand (-5*h + 2*h + h)*(-768*h - 801*h + 1541*h - 1)*(-6 + 2 + 2). -112*h**2 - 4*h Expand -6 - 4*v + 6 + (-4*v + 6 - 6)*(-3 - 1 + 1). 8*v Expand (2 - 1 + 1)*(-g + g - g**2) + (20*g + 37*g - 47*g)*(-3*g + 0*g + 0*g). -32*g**2 Expand (46232*c - 561 - 46234*c - 675)*(-1 + 1 + c). -2*c**2 - 1236*c Expand 4 - 4*k**2 - 4 + (2*k - 2*k - 3*k)*(3 + 3 - 4 + 4*k). -16*k**2 - 6*k Expand (5*m**3 - 2*m**3 - m**3)*(63 + 82 - 39). 212*m**3 Expand 120*w**2 - 12*w - 124*w**2 + 3*w + w**2 + w - w + (w + 0*w + w)*(w + 1 - 1) + 6*w**2 - 3*w**2 - w**2. w**2 - 9*w Expand 5467*u**2 + 6495*u**2 - 9030*u**2 + (2*u**2 - 5*u**2 + u**2)*(-1 - 3 + 2) + 4 - 2*u**2 - 4. 2934*u**2 Expand (6 - 2 - 2 + (-5 + 5 - 2)*(3 - 1 - 6) + 2 - 3 - 2)*(-1 + 1 - a + 3 - 3 - 2*a + 6*a - a - 3*a + (6 + 0 - 4)*(2*a + 0*a - a)). 7*a Expand -4*j**2 + 4*j**2 + 2*j**2 + (j + 0 + 0)*(-2 - j + 2) + 2 - 4 + 0 - 13*j**2 + 4*j**2 + 2*j**2 - j**2. -7*j**2 - 2 Expand (-2*y**4 - 2*y**3 + 2*y**3)*(2 - 6 + 2) - 89 + 38*y**4 + 89. 42*y**4 Expand (-13 + 173*g - 169*g - 7)*(g - g - g + (-2*g + 2 - 2)*(-5 + 3 + 3) - g + 3*g - g). -8*g**2 + 40*g Expand (3 + 2 - 8)*(1 + o - 1) - 3*o + 0*o + 6*o + (-2*o - 1 + 1)*(-5 - 1 + 4) - 5*o + 0*o + 3*o. 2*o Expand (3*a - 7 + 7)*(a - 1 + 1)*(55 + 13 + 106)*(-3 + 0 + 1)*(4 - 2 + 0). -2088*a**2 Expand (-11 - 7 - 15 - 3 + 2 + 2 + (1 - 3 + 1)*(0 + 2 + 0))*(2*g**4 - g**4 + 0*g**4). -34*g**4 Expand (4*c - 2*c - 3*c)*(165*c + 115*c + 339*c + 1847*c). -2466*c**2 Expand (o**2 + 2*o**2 + 3*o**2)*(-o + 2*o + 5*o)*(5*o**2 + 12*o - 12*o). 180*o**5 Expand (2*v**3 + 2*v**3 - 2*v**3)*(0 + 0 - 2*v) + 2 + 71*v**4 + 6*v**3 - 78*v**4 + 5*v**3. -11*v**4 + 11*v**3 + 2 Expand (2 - 2 - 2*g)*(2 - 1 - 3) - 2*g + 2 - 2 + g - g + 2*g - 3615*g - 1178*g - 816*g + 2 + 1387*g. -4218*g + 2 Expand -30150*d + 609*d**3 + 378*d**3 + 30150*d + 0 - d**3 + 0 + (0*d**2 - 2*d**2 + d**2)*(5*d + d - 4*d). 984*d**3 Expand (-1 - 4 + 3)*(-18 + 8 - 15)*(2*o - 3*o - o). -100*o Expand (0*k + 0*k - k + (-k - 2 + 2)*(0 + 4 - 2))*(144*k - 52 - 457*k + 55). 939*k**2 - 9*k Expand (3*r - 2*r - 3*r - 1)*(r**3 + 0*r**3 + 0*r**3) + (2*r**3 + 0*r**3 + 0*r**3)*(-2*r - 2*r + 2*r) + 47*r**4 - 9*r**4 + 4*r**4. 36*r**4 - r**3 Expand (-2*l + 0*l + 7*l)*(1 + 2 - 2 + (0 + 3 - 1)*(-3 + 5 - 1)) - l + 6*l - l. 19*l Expand (-n**3 + n**3 + n**4)*(1877*n + 1059*n - 551*n - 236*n)*(2 + 0 + 0). 4298*n**5 Expand (-4 + 4 - 2)*(-6*z + 182*z + 905*z)*(1 + 2 - 2)*(-3 - 1 + 6). -4324*z Expand z + 2*z - 4*z + (-20 + 16 - 21)*(0*z - 3*z + 2*z) - 2*z + 0*z + 3*z - z + 7*z + 6*z. 37*z Expand -6*k**5 + 10*k**2 - 10*k**2 + (-65*k - 59*k - 18 + 123*k)*(k - 2*k**4 - k). -4*k**5 + 36*k**4 Expand (-4 + 3 + 3)*(-2 - 6 + 53)*(3 + 2*p - 3). 180*p Expand 90*q**2 - 167*q**2 + 3 + 99*q**2 + (0 + 2 + 1)*(3*q**2 - 4*q**2 + 2*q**2). 25*q**2 + 3 Expand n**3 - 2*n**3 + 5*n**3 + (-n + n + 5*n)*(-n + n**2 + n) + 4*n**3 - n**2 + n**2. 13*n**3 Expand (0 - 1 + 0)*(z - 4*z + 2*z) + 3207*z + 150 - 6406*z + 3196*z. -2*z + 150 Expand (2*h + 10 - 10)*(-146*h + 69*h + 69*h). -16*h**2 Expand (2*p**2 - 2 + 2)*(2*p - 1 + 1) + 2*p**3 - 2*p**3 + 2*p**3 - 231*p + 158*p + 150*p + p**3 + 2. 7*p**3 + 77*p + 2 Expand (3*j**2 - j**2 + 0*j**2)*(1 - 1 - 4*j**2) + 50*j**2 - 50*j**2 - 15*j**4. -23*j**4 Expand -w**4 - 2*w**4 + 5*w**4 + (3*w**2 - 3*w**2 + 2*w**3)*(-2 + 2*w + 2) + (-2*w**2 + 5*w**2 + w**2)*(-2*w**2 + w**2 + 2*w**2) - 77*w**4 + 30*w**4 + 94*w**4. 57*w**4 Expand (q + q - 3*q)*(q**4 - q**2 + q**2) + 0*q**5 + 3*q**5 - q**5 - q + q**5 + q + 97*q**5 + 5*q**2 + 105*q**2 - 110*q**2. 99*q**5 Expand (4*t - 4*t + t)*(489 - t**2 - 487 + 0*t**2). -t**3 + 2*t Expand (3*a + 5*a + 0*a + 6*a - 3*a - 2*a + (-1 + 3 - 1)*(a + 0*a + 0*a) + 6*a - 3*a - 4*a)*(-3*a**3 + 0*a**3 + a**3). -18*a**4 Expand (-4 - 1 + 6)*(-4*c + 0*c + 0*c + (2 - 3 + 3)*(2*c + 2*c - 3*c)). -2*c Expand (4328 + 80*f - 2164 - 2164)*(-1 - 3 + 2). -160*f Expand (-4*s + 4*s - 3*s)*(-2*s**2 + s**2 - 2*s**2) - 2*s**3 + s + s**3 - 3*s + s**3 - s**3 - 2*s**3. 6*s**3 - 2*s Expand (4*o**2 - 4*o**2 - o**3)*(0*o + 0*o + o) + 0*o**4 + 11*o**4 + 9*o**4 + (-2*o**3 - 2*o**2 + 2*o**2)*(-o + 2*o + 0*o). 17*o**4 Expand (-6*i + i + 4*i)*(0 + 0 - 5)*(-3*i - 6*i + 4*i)*(1 - i - 1 + (0 - 2 + 3)*(i - 2*i + 0*i) - 2*i - 3*i + 3*i + 0*i - 4*i + 3*i). 125*i**3 Expand (27*l - 2*l - 79*l)*(-14*l + 5*l + 5*l). 216*l**2 Expand 5*h**4 - 68*h**4 + 19*h**4 + 6*h**4 - 2*h**4 - 3*h**4 - h + h + 2*h**4 + (0*h**3 + h**3 - 2*h**3)*(-4*h + 0*h + 3*h). -40*h**4 Expand -a**3 - 13*a - 4*a**2 + 13*a + (-2*a + 10*a - a)*(4*a**2 - 3*a**2 + 0*a**2). 6*a**3 - 4*a**2 Expand (-2 - 1 + 4)*(3*x**2 - x**2 - x**2)*(61 + 65 - 122). 4*x**2 Expand (4*v + 12*v - 3*v)*(7*v**3 + 5*v**2 - 8*v**3 - v**3). -26*v**4 + 65*v**3 Expand (29 + 17*z + 6*z - 24 - 13)*(-4*z**2 - 3*z**2 + 2*z**2). -115*z**3 + 40*z**2 Expand (4*l - 3*l + 0*l)*(2*l - 3*l + 0*l) + 27*l**2 + 31*l**2 - 49*l**2. 8*l**2 Expand (2 - 4 + 1)*(416 - 29 - 9)*(-7*k**2 + 3*k**2 + 3*k**2). 378*k**2 Expand (-3 + 2 + 3)*(4*r**2 + r**5 - 4*r**2) + r**5 + 3*r**5 -
{ "pile_set_name": "DM Mathematics" }
s = 1 + b. Let l(f) = f**3 + 11*f**2 + 9*f - 11. Let t be l(-10). Is s smaller than t? False Suppose -248 = 2*q - 4*q. Let w be 2/((-3)/(12/q)). Which is smaller: -1 or w? -1 Let q be 0/(-1) + -4 + 11. Let k be q/24 + (-2)/3. Are k and -1 unequal? True Let z = 16 + -15.9. Which is smaller: 14 or z? z Let n = -8 + 2. Is -6 < n? False Suppose 0 = l - 5*q - 8, l - 55 = -3*l - 3*q. Let v = l + -24. Which is greater: v or -10? -10 Suppose r - 1 = -4*k + 1, 3*r = -2*k + 6. Let u be k/((0 - -1)/(-1)). Let o = 425/2277 + -1/207. Which is smaller: o or u? u Suppose 0 + 7 = 7*d. Let t be (8/(-3) + 2)*3. Which is greater: t or d? d Let n(b) = -b**2 + b - 2. Let v be n(0). Let w be (-1)/((0 - 3)/9). Let m = -6 + w. Is v equal to m? False Let h(w) = w**3 - 4*w**2 + 5*w - 2. Let u be h(3). Suppose -3*l = 2*m + 4, -m - 2 = u*l + 5. Suppose 0 = -2*k + k + m. Which is greater: k or 2/7? k Suppose 4*l + 2*w - 9 + 3 = 0, -2*l + 3*w = 17. Is -2/41 less than l? False Suppose 71 + 79 = 5*y. Is y less than or equal to 30? True Let y(b) = b + 5. Suppose -4*o = 4*q - 20, o = -0 + 5. Let h be y(q). Suppose -4*l = -3 - h. Which is greater: 0.1 or l? l Let i = -13 + 15. Suppose p + p = -i. Let b = 1478/9 - 164. Which is bigger: b or p? b Suppose 4*o = -3*t + 23, -2*t + 5*t + o - 8 = 0. Let d = -7 + t. Which is smaller: -7 or d? -7 Suppose 20 = 2*g + 3*a, g + 5*a - 30 = -6. Let d = 4 - g. Let h be ((-2)/(-20) + d)*-4. Which is greater: h or 0? 0 Let o = 1.1 + -0.1. Let r = o + -2. Let j = -1.9 + 2. Is r bigger than j? False Let s = 2 - 3. Let w(u) = 2*u - 2. Let k be w(2). Suppose 2*o - 5*g = 20, 5*o - k*g - 12 = g. Does o = s? False Let b(h) = -h**3 - 3*h**2 + 1. Let a be b(0). Let f be (-2)/4 + 14/8. Are a and f nonequal? True Let d(b) = -b + 5. Let j be d(6). Let t be 13/21 - (-1)/(-3). Which is smaller: t or j? j Let v be -2 + (0 - 2 - -3). Suppose -m = -4*m + 3. Which is smaller: v or m? v Let o = -81 + 84. Which is smaller: 5 or o? o Suppose 1 = -4*a - 5*l, 3*a - 5*l = 8*a. Let h = -21 + 125/6. Is a not equal to h? True Let k be (-4 + 4)/(-2 - -1). Let z = k - 0. Which is greater: z or -1/5? z Let r be -12*((-218)/(-630) - 1). Let h = 54/7 - r. Is h smaller than 0? True Let m(o) = -o**3 + 9*o**2 - 6*o - 11. Let i be m(8). Let d(k) = -k**2 + 4*k + 5. Let t be d(i). Let f be 2 - 3 - 1/(-6). Which is bigger: f or t? t Let m be (-2)/2*(-1)/1. Let p be (10/20)/(m/(-2)). Is p != -2/19? True Let r = 1.43 + 0.57. Is 12 smaller than r? False Let z(b) = -b**2 - 9*b + 5. Let u be (-1 + 10)*(0 + -1). Let o be z(u). Which is bigger: 4 or o? o Let d be (-1 + 6/4)*0. Suppose 0 = -3*x - x - 3*l + 26, -16 = -2*x - 3*l. Suppose d = -5*b - x - 0. Which is smaller: -1/4 or b? b Let v = -36 - -94. Suppose -4*d + 54 = -d + 3*s, -v = -3*d - s. Are d and 19 nonequal? True Suppose 151 = 7*r - 8*r. Which is smaller: -150 or r? r Let v(k) = k**2 + 3*k - 6. Let p be v(-5). Suppose -2*s + p*x - 1 + 3 = 0, -4*x = -5*s - 1. Let y = -5 + 4. Is y != s? False Let u(k) = -k**3 + 4*k**2 - 2*k - 1. Let g(w) = w - 2. Let n be g(5). Let s be u(n). Suppose 6*f = s*f. Is f at most as big as -2/3? False Suppose -2*u + 5*i - 15 = 0, u - i = 3*u - 3. Is 11/10 greater than or equal to u? True Let g be (2 - (-128)/(-66))/(10/60). Which is greater: 0.1 or g? g Suppose -2*v + 54 = -0*v - b, 0 = 3*v + b - 71. Suppose 2*q = 5*n + v, -2*n - 2*n = 5*q + 20. Let a be (q/6)/(1/(-1)). Is -1 bigger than a? False Let j(t) = -t - 1. Let y be j(-1). Let n(f) = -f**3 + 2*f**2 + 2*f - 2. Let g be n(2). Suppose 5*l - g*l - 6 = 0. Which is smaller: l or y? y Suppose 2*k + 12 = -4*d - 2*k, 3*k = d - 13. Let r be (-205)/2*(-2)/(-30). Let h = r - -439/66. Is d >= h? True Let b be (-57)/(-21) - 2/(-7). Suppose 5 = -b*c + 2*c. Is c > -4? False Suppose -4*v = 5*o - 135, 4*o + 3*v + v - 112 = 0. Let n = o + -20. Is n smaller than 3? False Suppose 3*d - 3*c = 6, -2*c - 3 = -4*d - 1. Let x = -67/15 + 19/5. Which is bigger: x or d? x Let t(n) = n. Let v be t(0). Let k = -25 + 51/2. Which is smaller: v or k? v Let x = -1 + 3. Let m be -1 + -1 + 0 + x. Suppose -8*g = -g. Is g != m? False Suppose x + 2*x + 5*s - 10 = 0, 0 = -5*x - s + 24. Suppose 0 = 4*b - v + 3*v - 24, -5*v - 15 = -x*b. Do b and 5 have the same value? True Let i be (3 + -2 + 0)*-1. Let t(q) = q**2 + q. Let o be t(i). Suppose -f - 1 + 3 = o. Which is smaller: 3 or f? f Let y be (-49)/(-21) + (-4)/(-6). Let c be (-6)/(y - 0) - -2. Is c > -2/21? True Let j be 3/2*4/6. Let z = 49 + -49. Is z at least as big as j? False Let u(g) = -g**3 - 4*g**2 + g + 2. Let c be u(-4). Let n = c + 4. Is n less than 3/5? False Let d(p) = -p**2 - 10*p + 2. Let q be d(-9). Let l be (21/14)/(3/20). Is l at most q? True Suppose -5*q + y = -y - 10, 2*y - 8 = -4*q. Let p = -4 - -7. Which is bigger: p or q? p Let l = -3994/41595 + -4/705. Let f = l + 152/2655. Which is smaller: 1 or f? f Let k = -33 - -48. Let w = 15 - k. Let y = 1.4 - 2. Is w greater than or equal to y? True Let l be 14/4 + (-1)/2. Suppose 0 = -4*n + n + l. Suppose 2*v - 4*v = 10, 4*f - 4*v - 20 = 0. Is n < f? False Suppose 0*l + 8 = 4*w + 5*l, 10 = -2*w + l. Let u be (0 - 0)/(-5 - -3). Which is greater: u or w? u Let g(d) = 7*d - 11. Let z(x) = -x + 1. Let a(r) = -g(r) - 6*z(r). Let v be a(6). Which is greater: -5/3 or v? v Let j(i) = i**3 - 3*i**2 - 9*i + 22. Let b be j(3). Which is smaller: -4 or b? b Suppose -t = 0, -2*t - 8 = -k + 2*t. Is 9 less than k? False Let f = 14 - 3. Suppose 2*u = x + f, 3*u - x = x + 18. Is u less than or equal to 3? False Let l be (-152)/(-140) + (-2)/7. Suppose 0 = -3*j + 2*q + 20, 2*q = -10 + 2. Let a be (-18)/12*j/(-6). Which is greater: l or a? a Let d be (-4)/6 - (-10)/15. Suppose 5*j = 2*s + 33, 0 = -5*s - d*s + 2*j - 30. Let y(o) = -o**3 + 7*o**2 + o - 10. Let k be y(7). Which is bigger: s or k? k Suppose 5*d + 20 = 5. Let r be 24 - d - (0 + 0). Let n be 6/r + 2/72. Is n at most -1? False Let v be (-3)/6*(1 + -1). Let s = v + 0. Let g be 2/(-3)*(-3)/6. Is g >= s? True Let k(c) be the second derivative of c**4/12 + c**3/3 + c. Let o be k(-2). Let a be (0 + -1 + o)*6. Is -5 at least a? True Let s(j) = -4*j**3 - 2*j**2 + 6*j + 4. Let a(h) = -3*h**3 - 2*h**2 + 5*h + 3. Let n(x) = 3*a(x) - 2*s(x). Let b be n(-3). Which is bigger: b or -1/5? b Suppose 0 = -2*a - 8, -3*o + 5*a = -0*a - 17. Let j be 1/(o/2 + 1). Let l(x) = -x - 5. Let r be l(-5). Which is bigger: r or j? j Let p = -7 - -12. Which is bigger: p or -2/11? p Let y be (-30658)/(-42) - 8/(-24). Let a = -729 + y. Is 2 < a? False Let n = -86 - -84. Suppose 3*z + 7 = 1. Do n and z have different values? False Let l be 15/16*18/(-15). Is l > -2? True Suppose -b = -0 - 2. Let l be (-5)/15 + b/3. Is 1 smaller than l? False Let h be (1/(-3))/(1/3). Suppose -2*z - 9 + 1 = 0. Let j be 1 - (-2 + (-1 - z)). Which is smaller: h or j? h Suppose 0 = -3*i - 2*i. Suppose 4*b - z = -18, 4*z = 5*b + z + 26. Let q = b - -4. Is q at most i? True Let m = 9.2 + -1.2. Let r = 0.3 + -0.5. Which is bigger: r or m? m Suppose -w + 4 = -2. Which is greater: 8 or w? 8 Let y(k) = k + 3. Suppose -3*a + 2 = 17. Let c be y(a). Let r be (-1)/c + (-10)/4. Is -2 at most r? True Let a be 2*1/(-7) + (-5)/7. Is 2/117 at least a? True Let q(o) = -2*o - 2. Let y be q(-6). Let j be (-2)/11 - y/(-55). Let n = j + 0. Is n less than -1? False Let h be (24/(-32))/((-2)/((-16)/(-9))). Is -2/3 less than or equal to h? True Let j be -3*(-4)/(-30)*(-25)/40. Which is greater: j or -2/5? j Let h = 212735 + -1911973/9. Let i = 294 - h. Which is smaller: i or -1? -1 Let c be 2/(8/4*1). Suppose c = -g + 3. Which is smaller: 11/4 or g? g Let t = 84/185 - 2/37. Let y(g) = g + 6. Let r be y(0). Suppose o = 4*o + r. Is o smaller than t? True Suppose 0 = -3*l - 11 + 2. Let y = 0 + l. Which is greater: -4 or y? y Suppose 0 = -f - 3*f - 2*g + 4, g = -f. Are 3/2 and f unequal? True Let m be 3 + 18/(-7) + 1. Which is greater: 0 or m? m Let c = -0.014 - -30.014. Is c greater than -2/5? True Let t = 11/2 + -6. Which is smaller: t or 9? t Suppose 3*u - 17 = -r, 3*u = -3*r + 2*u + 27. Which is greater: 39/5 or r? r Suppose -2*p + 5*q - 8 = q, -10 = -2*q. Let a be (-8 + p)/((-2)/(-4)). Which is smaller: -2 or a? a Let d = -21 - -50. Is d > 28? True Suppose -1 = -3*m - 19. Let o be (-44)/30 + (-4)/m. Which
{ "pile_set_name": "DM Mathematics" }
tor of g and 139/108? 108 Let l(o) = 6*o**2 - o - 10. What is the least common multiple of 4/6 + 16/3 and l(2)? 12 Calculate the common denominator of 1695/420 + -12 + 7 + -1 and -71/480. 3360 Let j(a) = a**2 - 18*a - 9. Let w be j(12). Suppose -3*v = -7*v + 32. What is the lowest common multiple of v and w/(-2) + (-3)/6? 40 Let n = -8728 + 218172/25. Find the common denominator of n and 63/10. 50 Suppose 5 = 2*x - 1. Let w be x*(64/12 - 2). Suppose 0 = -d + 5*j - 20, d + 4*d - w = 3*j. What is the smallest common multiple of d and 3? 15 Let n = 319 + -312. Let b(s) = s + 7. Calculate the least common multiple of n and b(7). 14 Calculate the common denominator of -89/72 and (2/(-36))/(5 - 13328/2730). 1656 Suppose 3*g + 19 = 7, -3*b + 10 = -4*g. Let d(o) = 7*o**2 - 4*o - 4. Calculate the lowest common multiple of d(b) and 14. 224 What is the least common multiple of 12/(-30)*(-30*1 - 5) and 428? 2996 Let p = 6/2209471 + 305642751747/35351536. Let t = p + -8641. Find the common denominator of t and (-15)/50*(-85)/(-4). 16 Let j = -132 - -120. Calculate the least common multiple of 20 and 17 - -6*(-6)/j. 20 Suppose -3 = x, -2 = -4*o - x + 3. Let n be 1/((-14)/49 - 25/(-112)). Calculate the smallest common multiple of (n/14)/(o/(-7)) and 12. 12 Let b be ((-208)/4 + 4)*1. Let q be b/36*(-9)/(-2). Calculate the lowest common multiple of (22/q + 3)*-12 and 3. 24 Let c = -72 + 81. Suppose -g + 11 = x + g, x + g = 6. Calculate the least common multiple of c and x. 9 Let l(a) = -175*a - 2. Let m be l(-3). Suppose -2*c - 24 - 514 = -4*j, m = 4*j - 5*c. Calculate the common denominator of 43/20 and 1/4 - j/(-20). 20 Let m = 589 - 469. What is the smallest common multiple of 12 and m? 120 Suppose 1500 = 21*h + 4*h. What is the lowest common multiple of 24 and h? 120 Let c = 678/19 + -5266/171. Find the common denominator of c and -55/7. 63 Let g = -65/140422 + -14807218081/2106330. Let i = 7027 + g. What is the common denominator of i and 31/15? 15 Let w(s) = -s**3 - 6*s**2 + s + 9. Let b be w(-6). Suppose -4*m - m - b*t + 61 = 0, 0 = -3*m + t + 45. What is the smallest common multiple of 4 and m? 28 Let k = -144 + -87. What is the common denominator of -1/11 and 1/7 - (-831)/k? 11 Let x = 2/13145 + 775513/276045. Find the common denominator of -69/70 and x. 210 Let u = -294 - -180. Let c = 117 + u. What is the lowest common multiple of c and 27? 27 Let n be (-2 - (0 - 0)) + 26. Let s = n - 19. Calculate the lowest common multiple of 2 and s. 10 What is the common denominator of (-261)/(-370) - 21/(-105) and -87/16? 592 Suppose 4*f = 82 - 22. Suppose 0*g + g = f. Suppose k - g = -14. What is the least common multiple of 4 and k? 4 Let n = -1176/101 + 126661/9898. What is the common denominator of -9/28 and n? 196 Let z = -1020 - -1058. Find the common denominator of -29/1156 and z. 1156 Calculate the smallest common multiple of 67 and (6 + 4 + -18)*1*-1. 536 Suppose -17*l - 74 - 45 = 0. Suppose v = -v + 4*p - 28, -51 = 4*v - 3*p. What is the lowest common multiple of 6 and v/3*l/7? 12 Suppose 7 + 2 = 3*j. Let z(n) = 18*n - 6. Let t be z(j). Suppose 3*m + 24 = 2*m - 2*x, 2*m - 3*x = -t. Calculate the common denominator of m and 61/6. 6 Let l(m) = -m**3 + 7*m**2 + 4*m - 55. Let y = 4 - 3. Calculate the least common multiple of y and l(6). 5 Let d(n) = 2*n**2 - 18*n + 2. Let j be d(9). Suppose -j*b + 8 = -12. What is the least common multiple of b and 14? 70 Let a = 2/1757 - 124755/7028. Calculate the common denominator of 31/16 and a. 16 Let c = 4751959/66 - 71998. Find the common denominator of c and 121/20. 660 Let p = -11001157 - -462070621/42. Let u = 1589/3 - p. Find the common denominator of u and -103/12. 84 Let b = -379 - -58. Calculate the common denominator of 3*1/(-20)*b/(-9) and -97/12. 60 What is the common denominator of -52/57 and (115/(-12))/5 + 4/4? 228 Let b(q) = -4 - 88*q + 97*q + 65. Calculate the lowest common multiple of 58 and b(-6). 406 Suppose 0 = 5*i - 1 - 89. Suppose r - i = -2*r. What is the least common multiple of 5 and r? 30 Let v(x) = -32*x + 396. What is the least common multiple of v(11) and 2? 44 Let a = 9 - 16. Calculate the lowest common multiple of 12 and (-6)/(-4) - a/(-14). 12 Let r be -1 + 3 - 3 - -3. Suppose -5*f + r*f + 30 = 0. Let z = f + 0. What is the least common multiple of z and 12? 60 Let p = -3481/1680 + 21/80. Find the common denominator of 0 + (-30)/22 + 3/(-3) and p. 231 Suppose 7*q - 15 = 13. Suppose -2*b - c = q*c - 69, 0 = -2*b + 2*c + 90. What is the least common multiple of 9 and b? 126 Let b(k) = -k**3 + 11*k**2 - 10*k + 1. Let c be b(10). What is the common denominator of (280/36 + c)/(-2) and 91/4? 36 Let c = 9246 + -27221. Let r = -323447/18 - c. What is the common denominator of r and 75/22? 198 Let y = 111/2 - 50. Let g = 12259/90 - 1324/9. Find the common denominator of y and g. 10 Let m be -10 - -1*(-5 + 3). Calculate the least common multiple of 8 and m/8 - (-47)/2. 88 Let t = -9519 - -3635. Let m = -158930/27 - t. What is the common denominator of 29/6 and m? 54 What is the smallest common multiple of 30 and (-354)/(-9) + (-4)/(-6)? 120 Let o = 482 + -470. Suppose -m = 7 + 3. Let s = 10 - m. What is the smallest common multiple of o and s? 60 Let u be (((-10)/(-4))/(-5))/((-6)/(-72)). Calculate the lowest common multiple of 5 and (-2 + (-26)/u)/(7/21). 35 Suppose -15*x = -2*x - 455. What is the smallest common multiple of 245 and x? 245 Let x = -4815 - -7051. Let z be 0 + 0 + x/(-9). Let y = 248 + z. Find the common denominator of y and -103/10. 90 Let l = -58082365/4188 + 55475/4. Let d = -28129/14658 + l. What is the common denominator of 9/22 and d? 154 Let t be -2*(20/8 + -2). Suppose 8*g = 4*g + 20. Let v = g - t. What is the lowest common multiple of v and 14? 42 Suppose 0 = 7*f - 861 - 119. What is the smallest common multiple of 80 and f? 560 Suppose 2*m + 5*o = 7, 9*o = -4*m + 4*o + 9. Suppose -28 = -t + 2*b, 4*b - m + 21 = 0. Calculate the least common multiple of t and (-56)/(-5)*(2 - 3/(-6)). 252 Let q = 50 - 25. Suppose 0*u + q = 5*u. Suppose 5*d - 15 - u = 0. Calculate the least common multiple of d and 14. 28 Suppose 4*s + 110 - 118 = 0. Suppose 55 = 5*b + s*n, 0*b + 4*b = -n + 41. Calculate the lowest common multiple of 27 and b. 27 Let b = -33 - -28. Let l = 13 - b. Calculate the lowest common multiple of 20 and l. 180 Let q(a) = 11 + 103*a**2 - 102*a**2 - 2*a + 6*a. Calculate the lowest common multiple of q(-5) and 7. 112 Let x = -7 + 2. Let y be x/(-15) - (-397)/(-1245). Let n = y + -517/166. Find the common denominator of 59/4 and n. 20 Let p = 83217/28 - 2973. Calculate the common denominator of p and 55/18. 252 Suppose 0 = -0*v + 2*v - 40. Let r = -185 + 189. What is the smallest common multiple of v and r? 20 Let j(k) = 3*k + 1. Let b be j(1). Suppose b*o + n + n = -2, o = -3*n - 3. Suppose o*a - 20 = -4*a. Calculate the lowest common multiple of a and 5. 5 Let d(l) = -6*l**2 - 78*l + 7. Calculate the least common multiple of 14 and d(-13). 14 Let v = 25668 + -770111/30. Calculate the common denominator of v and -16/15. 30 Let c be ((-109945)/(-15))/(8/(-36)*2586). Let i = -2/431 - c. Calculate the common denominator of -113/12 and i. 12 Let z = 3871/13772 + 9/626. Find the common denominator of z and 93/2. 44 Let b = 198033/14 + -14139. Let q be 1/(-2)*(-1521533)/(-78). Let k = q + 9763. Calculate the common denominator of k and b. 84 Let z = -11 - -27. Calculate the smallest common multiple of 45 - (2 - (3 - 1) - 1) and z. 368 Suppose -3*c - 83 - 31 = 0. Find the common denominator of (((-366)/16)/(-3))/(c/(-19)) and 119/60. 240 Let q = -65 + 73. What is the common denominator of -4 + (126/q)/(-3) and 3/(-6) - 14/(-36)? 36 Suppose -t = 5*g + 17, 0*t = t + g - 3. Let h = 2 + t. Let s(f) = f**3 - 4*f**2 - 9*f + 54. Calculate the lowest common multiple of s(4) and h. 90 Let s = 276 + -191. Let c = s - 1252/15. Calculate the common denominator of -26/33 and c. 165 Suppose -161 = 3*j + 253. Find the common denominator of 23/10 and ((-2)/63*-6)/(4/j). 70 Let p = -668/5 - -265/2. Calculate the common denominator of p and -77/82. 410 Let o = 7 + 29. Let c(t) = -t**2 - 5*t + 6. Let u be c(-6). Suppose s - 4*s + o = u. What is the least common multiple of 22 and s? 132
{ "pile_set_name": "DM Mathematics" }
etermine g(l(v)). 3362*v**2 Let k(y) = 1501*y. Let t(x) = -54*x. What is t(k(l))? -81054*l Let j(f) = -3*f + 207. Let v(b) = 150*b. Give j(v(z)). -450*z + 207 Let j(z) = 253459*z. Let g(k) = 3*k. Determine g(j(t)). 760377*t Let w(b) = 65*b**2. Let z(o) = -20*o**2 + 9*o - 3. Determine z(w(y)). -84500*y**4 + 585*y**2 - 3 Let j(o) = -3*o**2 - 408*o. Let m(g) = 4*g - 29. Calculate j(m(q)). -48*q**2 - 936*q + 9309 Let g(h) = -4*h. Let i = 196 + -194. Let j(w) be the third derivative of 0 - 1/20*w**5 + i*w**2 + 0*w**4 + 0*w**3 + 0*w. Calculate g(j(m)). 12*m**2 Let u(f) = -f**2 + 5052*f. Let l(o) = 12*o**2. Give u(l(t)). -144*t**4 + 60624*t**2 Let z be (-11)/66 + (-461)/6. Let k = z + 160. Let y(f) = -83 - 4*f + k. Let o(a) = -3*a. What is o(y(r))? 12*r Let i(p) = -15*p. Let k(h) = 8*h - 43*h - 96*h - 34*h. Let j(g) = 45*i(g) - 4*k(g). Let x(f) = -3*f**2. Calculate x(j(o)). -675*o**2 Let z(w) = 31*w. Let c = -48 + 51. Let d(i) = -19*i + 19*i - c*i**2. What is d(z(x))? -2883*x**2 Let a(g) = -5*g. Let s be 33/15 + 7/(-35). Let d(y) = 86*y**2 - 173*y**s + 88*y**2. What is d(a(p))? 25*p**2 Let t(v) = -5*v**2 + 5*v**2 - 3*v**2. Let b = 0 - -2. Let y(d) = 2*d**b - 4*d**2 + 0*d**2. Determine t(y(a)). -12*a**4 Let a(w) = -3*w**2. Let m(i) be the first derivative of -i**3/3 + 11*i**2/2 + 11*i - 18. Let u(o) = -4*o - 4. Let n(y) = -4*m(y) - 11*u(y). Give n(a(z)). 36*z**4 Let v(n) = 108*n**2 + 2592*n + 162. Let q(x) = 16*x + 1. Let m(d) = 648*q(d) - 4*v(d). Let h(k) = -2*k. Give m(h(l)). -1728*l**2 Let w(g) = -556*g. Let l(y) = -49*y**2 + 11*y - 22. Let c(a) = -9*a**2 + 2*a - 4. Let p(t) = 11*c(t) - 2*l(t). Give w(p(j)). 556*j**2 Let d(z) = -23*z. Let t(b) = 95*b. Let q(u) = 25*d(u) + 6*t(u). Let w(k) = k. Let r(c) = -2*c. Let l(g) = r(g) + w(g). Determine l(q(m)). 5*m Let k(p) = 4*p. Let r(t) = 586*t + 12. What is k(r(c))? 2344*c + 48 Let s(m) = 3*m. Let v(b) = -6*b. Let u(p) = 5*s(p) + 2*v(p). Let r(z) = -z - 1. Let o(k) = 3 - 1 - 1 - k. Let q(l) = o(l) + r(l). What is u(q(j))? -6*j Let c(v) = -v**2. Let a(n) be the first derivative of 0*n + 5 + 0*n**2 + 23/3*n**3. Calculate a(c(x)). 23*x**4 Let u(a) = -9*a + 8. Let q(f) = 10*f - 10. Let k(r) = 3*q(r) + 4*u(r). Let b(i) = i. Let d(s) = -s. Let h(l) = -3*b(l) - 5*d(l). What is k(h(z))? -12*z + 2 Let m(p) = 12*p**2. Let t(d) = 6*d**2 - 4*d + 2. Let q be t(2). Let w(c) = -35*c + q*c + 21*c. Calculate w(m(y)). 48*y**2 Let o(u) = 25*u + 29*u - 86*u + 20*u. Let c(l) = -3*l**2. Give o(c(s)). 36*s**2 Let u(l) = 8*l - 4*l**2 + 7*l**2 - 8*l - 9*l**2. Let o(x) = -7*x**2. Give u(o(y)). -294*y**4 Let u(d) = -d + 127. Let a(r) = 3*r - 2. Let h(w) = 10*w - 7. Let m(f) = -14*a(f) + 4*h(f). Calculate m(u(x)). 2*x - 254 Let s(z) = -57*z**2. Let x(d) = -5*d. Let j(i) = 9*i. Suppose 3*h - 8 = -w + 5, 2*h - 5*w = 20. Let c(a) = h*x(a) + 3*j(a). Give c(s(b)). -114*b**2 Let j(b) = 7*b**2 + 14893. Let y(s) = 2*s. What is y(j(f))? 14*f**2 + 29786 Let h(a) = 11*a**2 + 4*a + 4. Let d = -118 + 115. Let k(y) = 3 + 3*y + 0 + 10*y**2 + 0. Let r(v) = d*h(v) + 4*k(v). Let m(n) = n. Give r(m(c)). 7*c**2 Let d(r) = 60*r. Let v(s) be the second derivative of s**3/3 + 423*s. Give d(v(k)). 120*k Let p(d) = 2*d**2 - d - 163. Let b(g) = -9*g. Give b(p(y)). -18*y**2 + 9*y + 1467 Let a(g) = -36*g + 30. Let y(f) = -102*f**2. What is a(y(k))? 3672*k**2 + 30 Let k(z) be the third derivative of z**5/60 - 675*z**2. Let o(g) = -63*g**2 + 2. Calculate k(o(x)). 3969*x**4 - 252*x**2 + 4 Let h(s) be the third derivative of -8*s**2 + 0*s + 1/60*s**5 + 0*s**4 + 0 + 0*s**3. Let r(j) = 6*j**2. What is h(r(z))? 36*z**4 Let t(b) = b. Let m be t(0). Let i(r) = 0 - 28*r + m + 30*r. Let z(c) = 4*c. Give z(i(y)). 8*y Let y(v) = 2*v - 39. Let p(w) be the third derivative of w**4/24 + 2*w**2 - 66. What is y(p(d))? 2*d - 39 Let i(a) = 4*a**2 - a. Let q(v) = -5*v + 898. Determine q(i(k)). -20*k**2 + 5*k + 898 Let g(w) = -6*w. Let p(m) = -4705*m. Calculate g(p(f)). 28230*f Let m(k) = 4*k + 3. Let y(p) be the third derivative of p**4/24 + p**3/6 + 15*p**2. Let q(t) = m(t) - 3*y(t). Let v(g) = 18*g. Give v(q(i)). 18*i Let w(x) be the second derivative of -x**3/6 - 57*x. Let g(d) = 56 - 56 + 16*d + 3*d. Calculate w(g(z)). -19*z Let k(l) = 42*l**2 - 8. Let p(j) = -2*j + 30. Calculate p(k(s)). -84*s**2 + 46 Let k(f) be the second derivative of -f**3/3 + 20*f - 6. Let g(t) = -33*t. Give k(g(v)). 66*v Let w(r) = 9*r. Let s(m) = -25*m - 55. Determine s(w(q)). -225*q - 55 Let r(h) = 634*h**2 - 1288*h**2 + 645*h**2. Let x(f) = -7*f + 5. Calculate r(x(m)). -441*m**2 + 630*m - 225 Let u be ((-2)/(-8))/(66/1232). Let k(o) be the first derivative of 0*o**2 - u*o**3 + 0*o + 4. Let l(v) = v**2. Give l(k(c)). 196*c**4 Let x(q) = 36*q. Let p(y) = 16*y. Let m(d) = 13*p(d) - 6*x(d). Let k(w) = -47*w - 2. Give k(m(i)). 376*i - 2 Let f(h) = -4*h. Let l(o) = -o**2 + 15009*o + 1. Determine f(l(c)). 4*c**2 - 60036*c - 4 Let a(u) = 6*u**2. Let r(p) = -2986*p - 1. What is r(a(h))? -17916*h**2 - 1 Let u(a) = 3*a**2. Let q(o) = 4*o + 3590. Determine q(u(g)). 12*g**2 + 3590 Let y(p) = 6*p**2. Let o(i) be the first derivative of -4*i**3/3 - 18. What is o(y(t))? -144*t**4 Let t(i) = -2*i**2 - i**2 - 4*i**2 + 5*i**2. Let q(m) = 18*m + 5. Let d(p) = 16*p + 6. Let u(n) = -5*d(n) + 6*q(n). Determine u(t(k)). -56*k**2 Let r(j) = -8*j**2 + 11. Let b(v) = -5*v + 4*v + 4 - 3*v**2 + v. Let n be (0 - 2)/(4/22). Let x(l) = n*b(l) + 4*r(l). Let i(k) = 3*k**2. What is i(x(f))? 3*f**4 Let p(b) = 49*b - 413. Let x(k) = -26*k. Determine p(x(t)). -1274*t - 413 Let w(b) = -5*b**2 - 6*b - 3. Let y(m) = -m**2 - 2*m - 1. Let z(h) = -2*w(h) + 6*y(h). Let f(o) = 29*o**2. What is z(f(l))? 3364*l**4 Let j(i) = -6058*i. Let v(n) = 267*n. Determine v(j(l)). -1617486*l Let t(n) = -1576656*n + n**2 + 1576656*n. Let p(m) be the first derivative of 9*m**2/2 + 1. Give t(p(d)). 81*d**2 Let p(b) = b**2. Let t(z) = -310838*z. Calculate t(p(n)). -310838*n**2 Let z be 6/(-10) - 823/(-5). Let p(n) = 46*n + 42*n - z*n + 52*n. Let w(j) be the second derivative of j**3/6 - j. Determine p(w(a)). -24*a Let o(s) = -236*s**2. Let k(t) = 11*t**2. What is k(o(j))? 612656*j**4 Let k(o) be the first derivative of -o**4/12 - 5*o + 4. Let h(s) be the first derivative of k(s). Let l(p) = 5*p + 3*p + p. Give h(l(f)). -81*f**2 Let f(k) = k. Let g(l) = l**2 - l. Let b(a) = 4*a + 3 - 1 - 3*a. Let j be b(2). Let i(r) = -12*r**2 + 11*r. Let v(z) = j*i(z) + 44*g(z). Give v(f(s)). -4*s**2 Let i(y) be the first derivative of -y**2/2 + 17. Let g(n) = n**2 - 50. Give g(i(t)). t**2 - 50 Let z(l) = -6890*l. Let h(f) = -11*f. What is z(h(a))? 75790*a Let v(c) = -12*c. Let r(n) = 61*n + 29. What is v(r(w))? -732*w - 348 Let h(d) = -4*d - 3*d + d + 2*d. Suppose 0 = 4*l - 12, 5*s + 2*l + 2 = 48. Let i(j) = j - 7*j + s*j. Determine h(i(z)). -8*z Let f(p) be the third derivative of -p**5/60 + 10*p**2. Let u(c) = 6*c**2. Let t(h) = -9*f(h) - u(h). Let n(g) = 292 + 3*g - 292. Calculate t(n(j)). 27*j**2 Let v(s) = 2*s. Let a(l) = 17*l - 14*l + 75 - 93. Calculate v(a(j)). 6*j - 36 Let r(t) = 0*t**2 + t**2 + 0*t**2. Let c(i) = 20*i. Let j(d) = 216*d. Let z(g) = -32*c(g) + 3*j(g). Determine r(z(m)). 64*m**2 Let q(k) be the third derivative of -k**5/30 - 2*k**2. Let n(d) = -4*d. Let z(u) = -130*u. Let i(h) = 40*n(h) - z(h). What is q(i(r))? -1800*r**2 Let f(b) = 5*b. Let z(y) = -18*y + 4. Let n(d) = -343*d + 77. Let u(p) = 4*n(p) - 77*z(p). Calculate f(u(o)). 70*o Let c(n) = 167*n - 3. Let z(u) = -222*u + 4. Let g(s) = 4*c(s) + 3*z(s). Let j(a) = -3*a**2 + 4*a**2 - 4 + a**2. What is g(j(x))? 4*x**2 - 8 Let z(q) be the third derivative of 0*q + 0*q**3 + 1/24*q**4 + 0 - q**2. Let v(j) = -4*j**2 + j**2 - 2*j**2 + 2*j**2. Determine v(z(r)). -3*r**2 Let x(b) be the third derivative of b**5/30 - 10*b**2 + 2. Let v(o) = -3*o - 17. Calculate x(v(w)). 18*w**2 + 204*w + 578 Let l(w) = 2*w**2. Let c(i) = 63*i - 127*i + 64*i - 189*i**2. Calculate l(c(v)). 71442*v**4 Let m(c) = -c**2. Suppose -5*p - 3 = -6*p. Let s(w) = 24*w**2 - 8. Let z(b) = -8*b**2 + 3. Let o(t) = p*s(t) + 8*z(t). Give o(m(l)). 8*l**4 Let t(a) = -2*a**2 + 1963. Let c(f) = 61*f**2 - 1. Calculate t(c(m)). -7442*m**4 + 244*m**2 + 1961 Let c(o) = -5*o**2. Let n(u) = -2*u**2 - 11*u. Let s(v) be the second derivative of v**4/1
{ "pile_set_name": "DM Mathematics" }
1 o, and 2 l. 18/455 Three letters picked without replacement from {q: 7, g: 3, l: 3, h: 1}. Give prob of picking 1 h and 2 l. 3/364 Calculate prob of picking 4 k when four letters picked without replacement from {n: 2, t: 1, f: 2, k: 4}. 1/126 Two letters picked without replacement from {d: 1, j: 5, i: 2, s: 3, w: 8, e: 1}. Give prob of picking 1 i and 1 w. 8/95 Calculate prob of picking 1 y and 1 s when two letters picked without replacement from mqasmppyy. 1/18 What is prob of picking 2 b when two letters picked without replacement from {s: 6, m: 10, b: 2}? 1/153 Three letters picked without replacement from {u: 2, x: 6, e: 2, k: 5, j: 1}. What is prob of picking 1 x, 1 k, and 1 j? 3/56 Calculate prob of picking 1 y, 1 a, and 1 s when three letters picked without replacement from syqac. 1/10 What is prob of picking 1 i and 2 h when three letters picked without replacement from hehaoihhhhrohoaoaa? 7/272 Calculate prob of picking 2 o when two letters picked without replacement from {v: 3, q: 1, o: 7, r: 2, n: 3, a: 1}. 21/136 Three letters picked without replacement from {r: 1, p: 1, e: 2, c: 2, k: 1, w: 1}. What is prob of picking 2 c and 1 k? 1/56 Four letters picked without replacement from xxxxxxxxxxxex. What is prob of picking 1 e and 3 x? 4/13 Calculate prob of picking 3 c when three letters picked without replacement from {r: 13, t: 3, c: 3}. 1/969 What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 7, m: 6}? 7/13 Calculate prob of picking 1 n and 1 q when two letters picked without replacement from nqqn. 2/3 Three letters picked without replacement from {m: 4, y: 1, l: 6}. Give prob of picking 1 l, 1 y, and 1 m. 8/55 Two letters picked without replacement from ppppzpzp. Give prob of picking 2 p. 15/28 What is prob of picking 3 m when three letters picked without replacement from {m: 8, o: 2}? 7/15 Two letters picked without replacement from fttfffttftftt. What is prob of picking 1 f and 1 t? 7/13 Two letters picked without replacement from {j: 2, c: 3}. What is prob of picking 1 c and 1 j? 3/5 Two letters picked without replacement from {w: 5, h: 1, j: 1, q: 3, k: 2}. What is prob of picking 1 h and 1 q? 1/22 Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {u: 2, q: 1, l: 1, w: 1}. 1/10 Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {p: 4, r: 1, v: 8, b: 1, l: 1}. 1/105 Two letters picked without replacement from lhhh. Give prob of picking 2 h. 1/2 What is prob of picking 2 x when two letters picked without replacement from jsppxpxppppxsjxxpp? 10/153 Four letters picked without replacement from {q: 1, g: 5, w: 1, l: 3, e: 3}. Give prob of picking 2 e and 2 q. 0 Four letters picked without replacement from clccccclcc. Give prob of picking 1 l and 3 c. 8/15 What is prob of picking 2 q when two letters picked without replacement from hdhqdddqqwhhdhd? 1/35 Calculate prob of picking 3 g when three letters picked without replacement from {h: 13, g: 3}. 1/560 What is prob of picking 2 s and 2 v when four letters picked without replacement from {s: 3, m: 2, w: 3, v: 2, g: 3}? 3/715 Two letters picked without replacement from thththhhtttttthhhh. What is prob of picking 1 t and 1 h? 9/17 Three letters picked without replacement from zzzzzzzbzzzzzzzzzzbz. What is prob of picking 3 z? 68/95 Two letters picked without replacement from cuuccucbuuuduadcuc. Give prob of picking 1 c and 1 a. 2/51 Calculate prob of picking 2 a when two letters picked without replacement from aaasxxax. 3/14 Calculate prob of picking 2 p and 2 a when four letters picked without replacement from zpzazaazzapa. 2/99 Two letters picked without replacement from {p: 4, b: 2, q: 7}. What is prob of picking 1 q and 1 b? 7/39 Calculate prob of picking 2 g, 1 a, and 1 l when four letters picked without replacement from gegaleglellegegglgl. 21/646 Two letters picked without replacement from {f: 4, n: 1, d: 2}. Give prob of picking 1 n and 1 f. 4/21 Two letters picked without replacement from hcccnnccccccznnczccz. Give prob of picking 1 z and 1 c. 18/95 Two letters picked without replacement from {z: 1, i: 4, m: 6, b: 7}. Give prob of picking 1 z and 1 i. 4/153 Calculate prob of picking 3 j when three letters picked without replacement from {u: 2, i: 6, e: 4, j: 3}. 1/455 Two letters picked without replacement from beevbr. Give prob of picking 2 e. 1/15 Three letters picked without replacement from {p: 2, e: 3, w: 6, g: 3, y: 6}. Give prob of picking 1 g and 2 p. 1/380 What is prob of picking 1 i and 3 y when four letters picked without replacement from {y: 7, i: 3}? 1/2 Three letters picked without replacement from {q: 1, i: 7}. What is prob of picking 3 i? 5/8 Two letters picked without replacement from {a: 1, q: 1, x: 1}. What is prob of picking 1 a and 1 x? 1/3 Two letters picked without replacement from sshsiisiiihchsscccs. What is prob of picking 2 s? 7/57 Four letters picked without replacement from {e: 6, h: 1, l: 3, i: 9}. Give prob of picking 3 i and 1 h. 7/323 Calculate prob of picking 2 v when two letters picked without replacement from {g: 3, h: 1, e: 4, c: 1, v: 2, j: 1}. 1/66 What is prob of picking 1 t and 3 j when four letters picked without replacement from vjjudttrjddjudd? 8/1365 Two letters picked without replacement from {b: 2, q: 2, k: 1, e: 4, v: 1, n: 4}. What is prob of picking 1 e and 1 k? 4/91 What is prob of picking 1 i and 1 h when two letters picked without replacement from {h: 1, d: 13, i: 1}? 1/105 Four letters picked without replacement from jnnntntaatttt. Give prob of picking 4 t. 3/143 What is prob of picking 2 c when two letters picked without replacement from {r: 3, c: 7}? 7/15 Calculate prob of picking 3 f when three letters picked without replacement from {f: 11, z: 2}. 15/26 Calculate prob of picking 1 z, 1 j, and 1 f when three letters picked without replacement from {p: 2, z: 1, b: 9, j: 3, f: 3, a: 1}. 3/323 Calculate prob of picking 2 j and 1 h when three letters picked without replacement from jthorjhhthhwhh. 1/52 Four letters picked without replacement from {t: 3, n: 2, a: 4, v: 4, g: 1}. What is prob of picking 3 t and 1 n? 2/1001 Four letters picked without replacement from cucbffcbbbcbbeufufub. What is prob of picking 1 c and 3 u? 16/4845 Three letters picked without replacement from mmmmmmmmmmmmmmymymym. What is prob of picking 1 m and 2 y? 17/380 Four letters picked without replacement from {q: 5, w: 2}. What is prob of picking 3 q and 1 w? 4/7 Three letters picked without replacement from {b: 1, g: 2, w: 4, a: 2, u: 2, v: 3}. Give prob of picking 2 g and 1 v. 3/364 What is prob of picking 1 p, 2 e, and 1 v when four letters picked without replacement from {w: 2, u: 2, p: 1, z: 4, e: 2, v: 1}? 1/495 Calculate prob of picking 3 e when three letters picked without replacement from cccceecccecccc. 1/364 Calculate prob of picking 1 c, 1 g, and 2 e when four letters picked without replacement from ggceencngnn. 1/55 Two letters picked without replacement from {d: 6, x: 2, o: 4, l: 3}. What is prob of picking 1 o and 1 x? 8/105 What is prob of picking 1 a, 2 q, and 1 j when four letters picked without replacement from aqaaajaqajaa? 16/495 Four letters picked without replacement from {z: 3, u: 4, b: 7}. Give prob of picking 3 b and 1 u. 20/143 Two letters picked without replacement from zsirzrrbzbrsibzbbzar. Give prob of picking 2 r. 1/19 Two letters picked without replacement from sflslflnlfsl. Give prob of picking 1 n and 1 f. 1/22 What is prob of picking 2 f and 1 x when three letters picked without replacement from {i: 11, x: 1, f: 6}? 5/272 Three letters picked without replacement from lnalanaannn. Give prob of picking 1 a, 1 n, and 1 l. 8/33 Three letters picked without replacement from {l: 5, q: 5}. Give prob of picking 3 q. 1/12 Calculate prob of picking 2 m and 1 s when three letters picked without replacement from {m: 2, e: 3, n: 2, s: 1, v: 3, y: 1}. 1/220 Three letters picked without replacement from {y: 2, s: 2, x: 4, u: 3, o: 2}. What is prob of picking 1 u, 1 s, and 1 y? 6/143 Calculate prob of picking 3 y and 1 r when four letters picked without replacement from uyruuryrrryrruuy. 1/65 Two letters picked wi
{ "pile_set_name": "DM Mathematics" }
the smallest value? (a) g (b) z (c) -0.2 c Let n be ((-20)/5 - -6)/(3 - 1). Which is the biggest value? (a) -2/3 (b) n (c) 0.51 (d) -2/9 b Let w(s) = -s**2 + 10*s - 9. Let p be w(9). Let m be (-3)/18*1 + (-4148)/(-408). Which is the third biggest value? (a) m (b) -4 (c) p (d) 1 c Suppose 2*v - 5*x + 8 = 0, -2*v - 121*x = -123*x + 2. Let q = 2 + -1.7. Which is the third biggest value? (a) -0.3 (b) v (c) q a Let a = 1993.179 + -1993. What is the fourth biggest value in 1/4, a, 2/9, -1/7? -1/7 Let x = -405 - -267. Let w = x - -134. Let s = 3 + -6. Which is the third smallest value? (a) -2/5 (b) w (c) s a Let p = -6 - -5. Let t be -1 + (-4 + 0 - (13 + -23)). Which is the second smallest value? (a) p (b) t (c) 0 (d) -2/3 d Let r be 7 - (-2 + (-296)/(-32)). Let t(l) = -l**2 - 4*l + 1. Let f be t(-3). What is the third smallest value in f, r, 1/5? f Let g = -22.91 + 23. Let t = g + -7.09. Let f = 7.3 + t. What is the second smallest value in 0.1, f, -0.5? 0.1 Let m = 0.22 - 1.92. Let n = m + 1.4. Let z = 2.5 - -0.5. Which is the third smallest value? (a) n (b) 0.5 (c) z c Let t = 9 - 5. Let k = -416/1085 + 170/217. Which is the third smallest value? (a) t (b) k (c) -2 (d) -1 b Let y = 948.3 + -949. What is the fourth biggest value in 2/15, 1, 1/5, y? y Suppose -4 = l, 2*x - l + 6 = -0. Which is the smallest value? (a) -2/11 (b) -33 (c) x b Suppose -9 + 5 = -2*h. Let o be (0 + -1)/(1/h). Let d be o + (-3)/(117/(-84)). Which is the third smallest value? (a) 2 (b) -2/9 (c) d a Let y = 0.026 + -0.066. Let k = 0.037 - 1.037. Which is the second biggest value? (a) 1 (b) k (c) y c Let w = -202 + 1820/9. Let y = 1 + -1.3. Which is the third biggest value? (a) -1 (b) -0.5 (c) y (d) w b Let z = 2 + -2.02. Let u = 32.02 - 35.02. Which is the third biggest value? (a) 0 (b) u (c) z (d) -5 b Let s = -54 + 37. Let d = 19 + s. Let n be -3*((-46)/(-24) - 2). What is the second biggest value in 3/4, d, n? 3/4 Let a = 30 - 19. Let o = 11.09 - a. What is the third biggest value in 4, o, -0.4? -0.4 Let r = 35 + -32. Let l be r*3*5/(-15). What is the biggest value in l, -0.2, 0.03? 0.03 Let u = -13.7 + 4.7. Which is the third smallest value? (a) 3/8 (b) u (c) 1/6 a Let l be (-1)/(1/((-4)/(-30)))*10. Let p = 0.04 + 0.36. What is the second smallest value in p, 0.1, l? 0.1 Let p = 0.1 + -0.4. Suppose -24 - 101 = 5*m. Let f = -29 - m. Which is the second smallest value? (a) p (b) 4 (c) f a Let d = 17 - 23. Let p = -2.307 - -0.007. Let n = 0.7 - p. Which is the third biggest value? (a) n (b) -2 (c) d c Let s = -213 - -59. Let y = s + 154.2. Which is the second biggest value? (a) y (b) -2/33 (c) 1 a Let w = 10079 + -10080. Let j = -247/5 + 49. What is the fourth biggest value in 0.1, w, j, -3? -3 Let r = 168/11 + -8725/572. Let q = 3/52 + r. Suppose -7 + 22 = -3*b. What is the second smallest value in q, b, -1? -1 Suppose -10*v + 170 + 210 = 0. Suppose -5*z - 13 = -v. What is the third smallest value in z, -1, 4? z Let l = 11 + -75/7. Let a = -121 - -228. Let c = a - 111. What is the smallest value in 3/2, l, c? c Let y = 19 - 9. Let i be (-19)/(-10) - 4/y. Let h = 9.68 + -9.28. Which is the smallest value? (a) h (b) 2 (c) i a Let s = 22.4 - 49.6. Let r = s + 27. Let v = -2/37 + 49/222. What is the second smallest value in v, -7, r? r Let n be (-7 - -4)*(2 + -5). Suppose 14*v - 10 = n*v. What is the third biggest value in 1/5, v, -2/13? -2/13 Suppose 23 - 33 = -2*h. What is the smallest value in -16, -6, h? -16 Let v = -0.56 + 0.36. Let w be (-6 + 5)/(2/(-8)). What is the second biggest value in -3/5, w, v? v Suppose 16*i + 12 = -3*k + 11*i, 4*i + 15 = 3*k. Which is the third smallest value? (a) 287 (b) k (c) -1/6 a Let v = 633 + -628. Let j = -2.02 + 2. Let o = j - 2.98. What is the third smallest value in v, o, 0.1? v Let l = 18/7 - 93/28. Let j(o) = -3*o - 3. Let t be j(-2). What is the second smallest value in 2, t, l? 2 Let v be (-2375)/1140 + 14/6. Let h = -8 - 4. Let m = h - -6. Which is the second smallest value? (a) -1 (b) m (c) v a Let v = -36 + 37. Let x = -7 + v. Let a = 0.4 + -0.2. What is the third biggest value in x, -0.3, a? x Let x = 16.85 + 0.15. Let w = x - 17. Let n = w + -0.2. Which is the second smallest value? (a) -4 (b) -1/10 (c) n c Let o = -12 + -37. Let p = -55 - o. What is the second smallest value in p, -0.4, 4/9? -0.4 Let u = -201/4 + 1227/28. Let i = 232/35 + u. Let r be 9*-2*4/(-12). Which is the third biggest value? (a) r (b) i (c) -2/7 c Let o(k) = 2*k**2 + 2*k - 1. Let l be o(1). Let w be l/((-1)/2 + -1). Let h be 3/w*(-16)/(-24). What is the biggest value in -2, h, -1/4? -1/4 Let l be 1 + (-36)/28*1. Let y be 8/30*(5 + 130/(-20)). What is the fourth smallest value in l, -4, -5, y? l Let f be (8 + -5 - -11)/(-10). Which is the smallest value? (a) -0.08 (b) f (c) -0.3 (d) 0 b Suppose 9*s - 85 = -103. Which is the biggest value? (a) s (b) 0.38 (c) 4 c Let q = 60 - 123/2. Let k = 12.13 - 12. Let v = 0.03 - k. What is the second biggest value in q, v, 1/3? v Let l = -636.92 + 648. Let p = l - 0.08. Let n = p + -16. Which is the biggest value? (a) 0 (b) -1/4 (c) n a Let j = -145.802 + 146. Let d = 0.002 + j. What is the fourth smallest value in 0, d, 1, 0.4? 1 Let a = -1 - 4. Let s = 0.12 - -0.13. Let d = s - 2.25. What is the smallest value in -4/3, a, d? a Let m = 50 + -31. Let a = m - 20. What is the third smallest value in -0.09, 1, a? 1 Let j = 0.25 + -0.51. Let r = j - 0.14. Let t(d) = -d**3 - 5*d**2 + 8*d + 8. Let z be t(-6). Which is the second smallest value? (a) r (b) z (c) -2 c Let f = -4.11 + 0.11. Let d = -296 - -298. Which is the biggest value? (a) f (b) d (c) -2 b Let u = -687 - -687. Suppose -4*q = -34 - 10. Which is the smallest value? (a) u (b) q (c) -3 c Suppose -6*n + 2*m + 18 = -4*n, -4*n - 5*m + 9 = 0. Let r be (n/(-39) + 0)/1. Let f = -25 + 25. What is the biggest value in r, -5, f? f Let y = -193/520 + -3/104. Let i = 4057.8 + -4057. What is the second biggest value in -3, y, i? y Let x = -1/4 + 11/12. Let w = -0.015 + 8.815. Let r = w - 8.3. What is the second smallest value in r, -0.2, x? r Let u = 0.374 + -4.374. Which is the third smallest value? (a) 52 (b) -2 (c) -2/5 (d) u c Let x = -232 - -727. Let g be (3/4)/(x/(-10)). Let f = g - 31/132. Which is the third biggest value? (a) f (b) -4 (c) 2 b Let p = 0 - -0.5. Let o = -1.5 - p. Which is the third smallest value? (a) 3/5 (b) 5 (c) o b Let l(m) = -3*m**3 + 4. Let g be l(-2). Let y be g/(-36) + -2 + 3. Suppose -4 = 2*o - j, 0 = o + 3*j + 2. Which is the smallest value? (a) 0.4 (b) o (c) y b Let q be ((-11)/33)/((-15)/(-9)). Which is the smallest value? (a) q (b) 7/2 (c) -14 c Let y = -17.9 - -20.9. Let b be (-3)/((-27)/(-2))*3. Let q(o) = o + 4. Let a be q(-2). What is the biggest value in a, y, b? y Let l be -5 + 280/30 + (-2)/6. Suppose -l*k + 28 = -4*t, 3*t = -0*t. Which is the biggest value? (a) -4/3 (b) -0.5 (c) k c Let y(a) = 10*a**2 - 2*a - 2. Let v be y(2). Suppose -v = -3*p + r + 54, -136 = -5*p - r. Let f = p + -28. What is the third smallest value in -0.1, f, 1? 1 Let x be ((-2)/2)/(-7 + 432/60). Which is the second smallest value? (a) 2/3 (b) 61 (c) x a Let n = 4.4 - 4. Let u = 18017/10015 + 2/2003. What is the fourth smallest value in 0.2, -3, n, u? u Suppose -2*k - 4 = 4*n, -4*k - n + 1 + 12 = 0. Let p = -0.7 + -0.3. Let j = p - 0. What is the third biggest value in k, -3, j? -3 Let r = -2303 + 2298. What is the third smallest value in r, 89, 0.07? 89 Let v be (36/42 - 1)*14/(-8). Which is the second biggest value? (a) 2 (b) v (c) -1/4 b Let h(j) = -2*j - 26. Let b be h(-11). Let y = 3.2 + -2.9. What is the fourth biggest value in y, -1, -5, b? -5 Let g be (45/10)/(1 - -5)*-1. Let c be (-1 + -1)/24*-15. What is the second biggest value in -36, g, -4/7, c? -4/7 Let r be (-11 - 189/(-18)) + (-5)/2. What is the fourth biggest value in r, 1/3, -0.4, 4? r Let b(a) be the second derivative of -a**3/6 - 3*a**2 - a. Let f be b(-13). Let s be ((-40)/(-50))/((-6)/(-5)). What is the biggest value in 2/11, f, s? f Let p = 425.94 + -426. What is the biggest value in -2, -0.4, p, -5? p Let l = 0 + -0.1. Let q = -15.85 - 0.15. Let f = 11 + q. Which is
{ "pile_set_name": "DM Mathematics" }
-3*o = -4*p - 37, 12 - 4 = -2*p. Let d(n) = -n**2 + 11*n - 6. Let h be d(o). What is the highest common divisor of h and 66? 22 Let y = -55 - -55. Suppose -4*d - 21 = -3*u, y*d + 5*d - 70 = -5*u. What is the greatest common divisor of u and 11? 11 Suppose -2*u + 5*s = -689, -u + 352 = 21*s - 22*s. What is the greatest common divisor of 42 and u? 21 Let u = 389 + -253. What is the greatest common divisor of u and 51? 17 Suppose -1004 = -4*h + 3*h - 4*t, 2960 = 3*h - t. Let r be (h/(-240) + 4/(-30))*-8. Calculate the highest common divisor of 272 and r. 34 Let q be 234/52*20/6. Calculate the greatest common divisor of 3 and q. 3 Suppose -5*l + 516 = -364. Suppose 0*k + 80 = 5*k. Suppose k = -c + 2*c. Calculate the highest common divisor of l and c. 16 Suppose 8 = -7*l + 9*l. Suppose l = i - 3. Suppose 111 - i = 4*d. What is the highest common factor of 39 and d? 13 Let i = -87 + 103. Calculate the highest common factor of 104 and i. 8 Let u be (12 - (-5)/(-1)) + 14. What is the highest common divisor of 231 and u? 21 Let n = 50 + 185. Calculate the greatest common factor of n and 5. 5 Let g be ((-3)/(-2))/(1/12*(-252)/(-448)). Let a(t) = -3*t**2 + t. Let y be a(1). Let x be (1 - -47) + 0/y. What is the greatest common factor of x and g? 16 Let o(n) = -19*n + 149. Let p be o(7). What is the highest common divisor of 368 and p? 16 Suppose 50 = 3*y + 2*h, -3*h - 2 = -2*h. What is the highest common divisor of 30 and y? 6 Let x(u) = -u**2 + 39*u + 4. Let v be x(39). Suppose 3*l - 30 = -2*l. Calculate the highest common factor of l and v. 2 Let a = 0 - -4. Suppose t + 40 = 2*f - 2*t, 74 = a*f - 3*t. Suppose -33 = 5*k - 118. What is the greatest common divisor of k and f? 17 Let b be (-96)/(-7) - (-2)/7. Suppose 68*z - 12*z = 3136. What is the greatest common divisor of b and z? 14 Let g be -4*350/(-80)*3*12. Calculate the highest common factor of 42 and g. 42 Suppose -3*u + 2 = -16. Suppose -5*i + 12 = -3*k + 5*k, 4*i - u = 2*k. Let r(o) = -o**2 + o + 1. Let c be r(k). What is the greatest common factor of 5 and c? 1 Let s(v) = v**3 - 24*v**2 - 2*v + 54. Let q be s(24). Let c = 38 - 14. What is the greatest common divisor of q and c? 6 Let z = 2596 - 1824. Suppose 2*w + w - 577 = 2*n, 4*w - z = 2*n. What is the greatest common divisor of 39 and w? 39 Suppose 4*l = 2*a - 37 + 15, -2*a = 5*l + 14. Suppose 34 = a*y - 128. What is the greatest common divisor of 36 and y? 18 Suppose 14 + 36 = 5*o. Let k(s) = -s**2 - 18*s + 23. Let l be k(-17). Calculate the highest common divisor of l and o. 10 Let q(r) = -10*r**3 - r**2. Let j be q(-1). Suppose -x + 34 + 17 = 3*k, 4*x - 3*k = 264. Calculate the greatest common divisor of x and j. 9 Let q = 2000 + -1957. Calculate the highest common divisor of 344 and q. 43 Let o = -8 + 11. Let p be (o/4)/((-9)/(-72)). Let i = 28 + -10. Calculate the highest common divisor of p and i. 6 Suppose -49*f = -65*f + 6432. Calculate the highest common factor of f and 6. 6 Suppose -33*s = -15*s - 576. What is the greatest common factor of 64 and s? 32 Let n be 1/(-4) + (-10)/(-8). Suppose 6*x + 35 - 11 = 0. Let u be (x/(-3))/((-100)/(-45) - 2). What is the highest common divisor of u and n? 1 Suppose -n - 2*n - 4*i = -904, 5*i = -2*n + 598. What is the highest common divisor of 684 and n? 76 Suppose 0 = 3*n - n + 68. Let y = n - -64. Calculate the highest common divisor of 60 and y. 30 Suppose -3*a = b - 13, -a + 13 = a + 5*b. Suppose 3*z - k - 4*k - 93 = 0, -a*z + 5*k = -119. What is the greatest common factor of 286 and z? 26 Suppose 27*c - 690 = -231. Let f = 170 - 17. Calculate the greatest common factor of f and c. 17 Suppose r + p - 25 = -r, 16 = 2*r + 4*p. Calculate the highest common factor of r and 4. 2 Let r(z) = -z**2 - 4*z - 1. Let w be r(-3). Suppose 66 = w*d - 46. Calculate the highest common divisor of d and 7. 7 Let b = 4517 + -4511. Suppose 4*s = -s + 75. What is the greatest common factor of s and b? 3 Let v(d) = d**2 + d - 1. Let a be v(-5). Let p(c) = -c**2 - 3*c + 22. Let f be p(-14). Let j = 341 + f. What is the highest common factor of j and a? 19 Let b = -267 - -727. What is the highest common divisor of 20 and b? 20 Let x = 99 + -69. Let z be 20/30 - (-62)/(-3). Let d be -5*(44/z - -1). What is the greatest common divisor of x and d? 6 Let i(n) = 5*n + 4. Let r be i(-5). Let p be (-72)/(-14) - (-3)/r. Suppose p*g = -5*h + 8 + 37, 4*g = 2*h - 30. What is the greatest common divisor of 99 and h? 11 Let u = 25 - -129. Suppose 0 = -3*r + k - 22, -k + 4*k - 26 = 4*r. Let s = 6 - r. What is the highest common factor of u and s? 14 Suppose 2 = -2*p, 5*t + 2*p = -0*t + 88. What is the highest common divisor of 72 and t? 18 Suppose 2*j - 3*d = 32, -30*j + 32*j = -5*d + 32. Let g(u) = 3*u - 4 - 1 - 2. Let h be g(5). What is the greatest common divisor of j and h? 8 Suppose -6*b = -7*b - 2*w + 20, w = 5. Calculate the greatest common divisor of 100 and b. 10 Let s be 0 - -1 - (3 + -7). Suppose -2*n = s*n - 70. Calculate the greatest common factor of n and 25. 5 Let a = 103 + -67. Suppose 3*b + 2*f - 1083 = -f, 2*b + 3*f - 723 = 0. Calculate the greatest common divisor of a and b. 36 Let x = 1149 + -1056. Calculate the highest common factor of x and 9. 3 Let y(b) = -38 + 48 - b + 74. Suppose 11*s = -2*s. Let r be y(s). Calculate the highest common factor of r and 12. 12 Let l be 6/(-20) - 6825/(-250). Calculate the greatest common factor of l and 189. 27 Let a(j) = -j**3 + 32*j**2 - 2*j + 74. Let u be a(32). Let c(t) = t**2 + 3*t - 8. Let k be c(-6). Calculate the greatest common divisor of k and u. 10 Let j(i) = -i**2 - 17*i - 13. Let b be j(-13). Suppose -6*p = -3*p - b. Calculate the highest common divisor of p and 117. 13 Suppose 0*l + 2*w + 4 = 3*l, 4*w = 5*l - 6. Suppose q = -0*q + t + 9, 4*t - 6 = -l*q. Calculate the greatest common divisor of q and 28. 7 Suppose 0 = -5*o + 3 + 7. Let g be (4 - -25*o) + 0. Calculate the highest common divisor of 6 and g. 6 Suppose 0 = -5*k + 65 - 5. Suppose -k = 3*j - 54. What is the highest common divisor of 98 and j? 14 Let a be 5*-2*1/(-10). Suppose 3 = z - a. Let o(b) = 5*b**2 - b. Let h be o(1). Calculate the highest common factor of h and z. 4 Suppose -228 = 7*f - 46. Suppose -3*p - 5*q = -8*p + 190, -4*p = -q - 137. Let x = p + f. Calculate the greatest common factor of x and 56. 7 Let o be 1/(-3) - (-8)/6. Suppose 4*m - 3*q = 15, -8*q + 3*q - 25 = -5*m. Suppose 0*n + n - 1 = m. What is the greatest common factor of o and n? 1 Let w be (9 + 0)*(16 + -15). Let p = 36 + 9. What is the greatest common factor of p and w? 9 Let i(a) = a**2 - 4*a + 1. Let v be i(4). Suppose 0 = -3*b + 131 + v. What is the greatest common divisor of b and 110? 22 Let x(m) = -m**3 - 3*m + 45. Let c be x(0). What is the greatest common factor of c and 855? 45 Let w(i) = 2*i**2 + 2*i + 1. Let j be w(-1). Suppose -5*u - j = -66. Suppose u = 2*s - s. Calculate the greatest common factor of 52 and s. 13 Suppose -12*u - 19*u + 10013 = 0. What is the greatest common divisor of u and 19? 19 Let v = -181 + 311. What is the highest common divisor of 60 and v? 10 Suppose -z + 10 = 7. Suppose z*p + 34 = x + 8*p, -4*x = -4*p - 16. Suppose 0 = -3*y + 3*n + 18, 0*n + 2*n = -2*y. What is the greatest common factor of x and y? 3 Suppose -5*h = 5*t, -5*h + 0 = 4*t + 5. Suppose -t*j + 13*j - 2376 = 0. Calculate the highest common factor of 33 and j. 33 Suppose 4*w - 41 = 5*f - 179, 2*f + 4*w = 72. Let k be (-16)/10*30/(-4). Calculate the highest common factor of k and f. 6 Let z = 2 + 3. Suppose -2*y - 26 = -5*i - 0, 20 = 5*i - z*y. Suppose 0 = -0*w - 3*w + i. Calculate the greatest common factor of w and 1. 1 Let p be (-5)/(-2)*(-24)/(-20). Suppose x = p*m + 12, 19 = -4*x + 4*m + 67. Calculate the highest common factor of 3 and x. 3 Let j(u) = 3*u - 63. Let z be j(23). Suppose 19 = a - 47. What is the greatest common divisor of a and z? 6 Let y(v) = 3*v**2 + 8*v - 11. Let b be y(5). Suppose -p + 5*z = -20, -4*p - 4*z + 0*z = -b. Calculate the highest common factor of 225 and p. 25 Suppose -101*v = -8*v - 558. Calculate the greatest common factor of 522 and v. 6 Let s = 19 + -9. Suppose -4*z + s = 2. Suppose -2*o = -3*t + 89, 3*t - 25 = z*t - 4*o. Calculate the greatest common factor of 319 and t. 29 Let x(
{ "pile_set_name": "DM Mathematics" }
d(u) = 6*u - 3*u - 2*u. Calculate f*d(r) + j(r). r - 2 Let t(g) = 6 - 5*g + 0*g + 6*g. Let p(q) = 1. Determine 6*p(y) - t(y). -y Let h(i) = 11*i - 13. Let y(z) = z. Calculate h(w) - 6*y(w). 5*w - 13 Let b(l) = l**2 + 2. Let q(c) = -c**2 + 1. Let x(m) = 8*m**2 - 2. Let s(a) = 6*q(a) + x(a). Let g = -18 - -23. Let i = 4 + -6. Give g*b(y) + i*s(y). y**2 + 2 Let n(a) = -3*a + 8. Let o(x) be the third derivative of 0 + 0*x + 1/24*x**4 + x**2 - 1/2*x**3. Calculate -3*n(v) - 8*o(v). v Let h(y) = y + 1. Let c(n) = 3*n + 2. Suppose -w = 5*b + 17, -b - 1 = 3*w + 8. Suppose -u - 2 = -3*u. What is u*c(p) + w*h(p)? p Let y(j) = j**2 + 4*j. Let p(l) = -3*l**2 - 9*l. Suppose 2*o = -0*o + 2*i - 16, -i - 10 = o. Determine o*y(k) - 4*p(k). 3*k**2 Let p(c) = -11*c**3 - 8*c**2 + 5*c + 14. Suppose -2*f - 5*j = -4, -2*f - 2*j - j = 4. Let o(g) = -4*g**3 - 3*g**2 + 2*g + 5. Calculate f*o(z) + 3*p(z). -z**3 - z + 2 Let v(w) = -w**2 - w - 1. Let x(n) = -7*n**2 - 10*n - 6. Give -4*v(z) + x(z). -3*z**2 - 6*z - 2 Let o(k) = 3*k**2 - 2. Let m(w) be the first derivative of -7*w**3/3 + w**2/2 + 5*w + 6. Determine -2*m(i) - 5*o(i). -i**2 - 2*i Let k = -2 - -2. Let b(t) = 6*t**2 + k*t**2 + 10*t - 12 - 7*t**2. Let z be b(8). Let j(c) = -6*c - 2. Let h(l) = -11*l - 4. Determine z*h(u) - 7*j(u). -2*u - 2 Let x(c) = -21*c**2 + 2. Let n(g) = 31*g**2 - 3. Give -5*n(s) - 7*x(s). -8*s**2 + 1 Let z be (7 + -5)*6/4. Let x(w) = 6*w. Let u(o) = 2*o. What is z*x(p) - 8*u(p)? 2*p Let j(w) = 21*w**2 + 6*w - 11. Let h(x) = -4*x**2 - x + 2. Suppose -7*l + 24 = -53. Determine l*h(n) + 2*j(n). -2*n**2 + n Let d(a) = 1. Let r(w) = -w**2 + w**2 + 2*w - 4*w**2 + 3*w**2 - 1. What is -3*d(m) - r(m)? m**2 - 2*m - 2 Let t(s) = s**2 + 2*s + 3. Let g(i) = -4*i**2 - 6*i - 10. Give 2*g(k) + 7*t(k). -k**2 + 2*k + 1 Let n(x) = 2*x**2 + 2*x + 7. Let t(a) = -1 + 6 - 2 - 2. Suppose -18 = 4*m + 3*h, 4*h = -2*m + 2 - 6. Determine m*t(q) + n(q). 2*q**2 + 2*q + 1 Let v(t) = 9*t**3 - 3*t**2 + 3*t - 3. Let p(x) = -46*x**3 + 16*x**2 - 16*x + 16. Calculate 3*p(n) + 16*v(n). 6*n**3 Let b(n) be the second derivative of -5*n**3/3 + 2*n**2 + 2*n. Let h(k) = 7*k - 3. Let c = 27 - 17. Let g be (-2)/(-1 - (-14)/c). What is g*b(y) - 7*h(y)? y + 1 Let h(q) = -3. Let j(b) be the third derivative of -b**4/24 + 25*b**3/6 + 19*b**2 + 2*b. Calculate -24*h(c) - 3*j(c). 3*c - 3 Suppose 0*k = -2*k + 12. Let s(t) = -3*t. Let m(b) = -4*b - 1. Let c(h) = k*s(h) - 5*m(h). Let o(z) = 3*z + 9. What is -5*c(v) + 3*o(v)? -v + 2 Let y be 25/(-4) - (-3)/12. Let f be (-30)/4*y/(-9). Let b(g) = -5*g**2 - 7*g - 2. Let s(d) = -4*d**2 - 6*d - 2. Give f*b(n) + 6*s(n). n**2 - n - 2 Let p(y) = 16*y**2 + y + 4. Let f(b) = -b**2 + b. Let c(w) = 5*w**2 - 2*w + 1. Let d(x) = -c(x) - 2*f(x). Give -11*d(g) - 2*p(g). g**2 - 2*g + 3 Let h = -9 - -4. Let m(t) = -6*t + 2. Let p(z) = 1. Let v(b) = m(b) - 2*p(b). Let x(a) = 7*a. Calculate h*v(g) - 4*x(g). 2*g Let a(j) = -6*j**3 + 6*j - 4. Let x(h) = 6*h**3 - 7*h + 5. What is 6*a(w) + 5*x(w)? -6*w**3 + w + 1 Let g(t) = -5*t**3 + 6*t**2 - 6*t. Let o(w) = -6*w**3 + 7*w**2 - 7*w. Let j be (-1348)/26 + (-10)/65. Let n be 10/(-45) + j/9. Determine n*o(v) + 7*g(v). v**3 Let k(h) = -2*h**2 + 2*h + 6. Let i(m) = -5*m**2 + 4*m + 13. Let x = 34 + -40. What is x*i(y) + 13*k(y)? 4*y**2 + 2*y Let c(i) be the third derivative of -7*i**5/60 - i**4/6 - 2*i**3/3 - 10*i**2. Let k(r) = -27*r**2 - 15*r - 15. Determine 15*c(q) - 4*k(q). 3*q**2 Let k(z) = 3*z + 1. Let t(w) = 2*w - 7. Let q(s) = -s + 1. Let r(o) = 6*q(o) + t(o). Suppose 5*m + 24 = 2*j + 7, -4*m + 8 = 2*j. Calculate j*k(l) + 5*r(l). -2*l + 1 Let t(q) = -3*q - 5. Let y(m) = 16*m + 15*m + 3 - 45*m + 16*m. What is -3*t(z) - 5*y(z)? -z Let q(s) = 20*s. Suppose -4*c + 2*u - 69 + 19 = 0, -4*u = 2*c + 10. Let m(r) = -7*r. Calculate c*m(o) - 4*q(o). -3*o Let v(z) = z**3 + z**2 - 3*z + 1. Let m(x) = 11*x**2 + 5*x + 9. Let j(t) = 5*t**2 + 2*t + 4. Let g(a) = 9*j(a) - 4*m(a). Give 3*g(p) - 2*v(p). -2*p**3 + p**2 - 2 Let b(u) be the second derivative of 0 - 2*u**2 + 1/3*u**3 + 14*u. Let n(q) = -3*q + 1 + q + q. What is -2*b(v) - 6*n(v)? 2*v + 2 Let n(h) = 6*h - 18. Let c(i) = i. Determine 8*c(k) - n(k). 2*k + 18 Let i(s) = -20*s - 4*s**3 - 7*s**2 + 60*s - 33*s. Let l(r) = -4*r**3 - 6*r**2 + 6*r. Calculate -6*i(u) + 7*l(u). -4*u**3 Let i(z) = z**3 - 2*z**2 - 4*z - 3. Let u(x) = -x**3 + x**2 + x + 1. Suppose -3*v = 4 - 7. What is v*i(s) + 2*u(s)? -s**3 - 2*s - 1 Let r(k) = 2*k**2 + 2. Let t(y) be the third derivative of y**6/120 + 3*y**5/20 + 3*y**3/2 - 9*y**2. What is -9*r(v) + 2*t(v)? 2*v**3 Let v(r) = 21*r + 5. Let a be 0 + (-2)/(-2) - 3. Let k(t) = -4*t - 1. Give a*v(u) - 11*k(u). 2*u + 1 Let t(q) be the first derivative of -8*q**3/3 + 9*q**2/2 + 9*q - 28. Let y(r) = 2*r**2 - 2*r - 2. Calculate 4*t(a) + 18*y(a). 4*a**2 Let u(w) = w**3 + w**2 - w + 1. Suppose -2*l - 3 = -5. Let p(r) = -7*r**3 - 5*r**2 + 3*r - 4. Determine l*p(o) + 5*u(o). -2*o**3 - 2*o + 1 Let q(v) = 11*v**2 - 6*v. Let a(k) = -10*k**2 + 5*k. Give 6*a(s) + 5*q(s). -5*s**2 Let p(t) = 5*t**3 - 3*t + 5. Let q(i) = -i**3 + i - 1. Calculate -p(v) - 6*q(v). v**3 - 3*v + 1 Let f(y) = 9*y**2 - 3*y. Let x(n) = -n**2 - n. Determine -4*f(w) + 12*x(w). -48*w**2 Let j(v) = -2*v - 4. Let t = -96 - -94. Let p(q) = -q - 2. What is t*j(n) + 5*p(n)? -n - 2 Let s(q) = -3*q**3 - 9*q**2 + 4*q. Suppose -4*o = -2*h - 6 - 0, -13 = -5*o - 3*h. Let i(v) = v**3 + 4*v**2 - 2*v. What is o*s(j) + 5*i(j)? -j**3 + 2*j**2 - 2*j Let c(n) = n. Let m(w) = 9. Let s(h) = -h + 4. Let r(b) = 2*m(b) - 5*s(b). What is 4*c(t) - r(t)? -t + 2 Let q(m) = -2*m**3 - 3*m**2 + 36*m + 3. Let h(n) = -n**2 + 1. Determine -3*h(d) + q(d). -2*d**3 + 36*d Let c(b) = -7*b - 2. Let m(d) = -6*d - 2. Let u be (1*4)/((-5)/10). Let l = u + 13. What is l*c(w) - 6*m(w)? w + 2 Let p = -63 - -66. Let v be -8*(1 - (-2)/(-1)). Suppose -p*x + 23 = v. Let s(a) = 2*a - 9. Let o(q) = -3*q + 14. Determine x*o(z) + 8*s(z). z - 2 Let c(m) = -1. Let y(u) = 8*u - 4. What is -2*c(l) + y(l)? 8*l - 2 Let y(v) be the third derivative of -v**5/60 + v**4/12 + v**2. Let c(z) be the first derivative of 4*z**3/3 - 7*z**2/2 - z + 2. Determine -2*c(p) - 7*y(p). -p**2 + 2 Suppose -10*j + 3 = -13*j. Let a(o) = 3*o + 3. Let g(w) = -w**2 + w + 1. Give j*a(d) + g(d). -d**2 - 2*d - 2 Let n(m) = -m**2. Let z(u) = -29*u**2. Calculate -4*n(s) + z(s). -25*s**2 Let r(y) = -y**2 + y + 1. Let b(s) = 27*s**2 - 3*s - 3. Calculate 2*b(l) + 6*r(l). 48*l**2 Suppose 2*i + g - 6 = -g, 2*i = 2*g - 10. Let m(y) = 1. Let j(q) = -4. Let p(x) = -j(x) - 5*m(x). Let c(s) = -s**2 + s + 2. What is i*c(f) - p(f)? f**2 - f - 1 Let z(c) = -3*c + 2. Let s(n) = -4*n + 1. What is 4*s(y) - 3*z(y)? -7*y - 2 Let z(o) = -o**2 - o + 1. Let w(u) = -7*u**2 - 4*u + 6. Suppose j + 3 = -3. Calculate j*z(i) + w(i). -i**2 + 2*i Let l(o) = 2*o**3 - 3*o**2 - o - 3. Let g(p) = -p**3 + p**2 + 1. Suppose -27 = -3*u + 12*u. Calculate u*g(t) - l(t). t**3 + t Let q(x) = -x**2 - 3*x + 3. Suppose b - 3*b - 2*h = -6, 3*b = 3*h - 3. Let p(z) = z - 1. What is b*q(g) + 3*p(g)? -g**2 Let k(z) = -9*z**2 + 5*z + 5. Let d be -1*(1 - (-4)/(-2)). Let x = 4 - d. Let i(o) = x*o - 2 - 5*o**2 + 5 + 0*o. What is 5*i(q) - 3*k(q)? 2*q**2 Let o(v) = -v + 4. Let r(u) = -3*u + 17. What is 9*o(j) - 2*r(j)? -3*j + 2 Let r(i) = 2*i**3 - 3*i**2 - 4. Let s(j) = -6*j**3 + 8*j**2 + 12. Give 11*r(y) + 4*s(y). -2*y**3 - y**2 + 4 Let t(p) = -7*p - 2. Let q(n) = n + 1. Let r(o) = -5*q(o) - t(o). Let s(d) be the second derivative of 5*d**3/6 - 7*d**2/2 + 4*d. Determine 9*r(y) - 4*s(y). -2*y + 1 Let y(n) = 7*n + 1. Let o(w) = 3*w - 460 + 460. What is 5*o(x) - 2*y(x)? x - 2 Let r(y) = -5*y + 6. Let x(b) = -b + 1. Let c = 110 - 116. What is c*x(j) + r(j)? j Let h(k) = -12*k**3 - 2*k**2 + k - 2. Let i(z) = -1. What is -h(l) + 2*i(l)? 12*l**3 + 2*l**2 - l Let u(o) = 2*o**3 + 3*o**2 - 3*o - 3. Let s(p) = p**2 - 11*p - 1 + 10*p + 0. Suppose 0*l + l - 3 = 0. Determine l*s(v) - u(v). -2*v**3 Let m be -8 - (2 - 0)/(-6)*12. Let o(h) = -h + 7. Let z(q) = q - 6. Determine m*o(w) - 5*z(w). -w + 2 Let y(j) = j**3 + 2*j**2 + 7*j + 4. Let m(g) = -g**3 - 3*g**2 - 15*g - 7. Calculate -4*m(h) - 7*y(h). -3*h**3 - 2*h**2 + 11*h Let g(j) = -5*j**3 - 2*j**2 - 2. Let x(m) = 11*m**3 + 4*m**2 + 5. What is -5*g(o)
{ "pile_set_name": "DM Mathematics" }
equal to 984? False Does -6 = 380? False Which is smaller: 1 or -2/13787? -2/13787 Is -8 < -395/44? False Which is smaller: 37 or -20? -20 Are 0 and -58/517 nonequal? True Which is greater: 29 or 16? 29 Is -2 >= -88? True Which is bigger: 444 or 442? 444 Is 26480 less than 26480? False Which is smaller: -1/532 or 0? -1/532 Which is greater: -383/3 or -129? -383/3 Which is bigger: 2/7 or -3172? 2/7 Which is smaller: 0.1 or -2062? -2062 Which is greater: -5 or 4/9? 4/9 Are 7/25 and -4.5 nonequal? True Is 6 not equal to 13? True Which is smaller: -1 or -74/475? -1 Which is smaller: 1295 or 1294? 1294 Is 6061 > 6062? False Is 5/4859 at most -1? False Does -1562 = 0.2? False Which is greater: -8.203 or 1? 1 Are -21 and -19 equal? False Which is bigger: 13703 or -1/2? 13703 Which is bigger: -122 or -0.43? -0.43 Which is smaller: -169 or -170? -170 Which is bigger: -13 or -224? -13 Is -1135 less than -1127? True Are 1/111561 and 0 unequal? True Which is greater: 110 or 108? 110 Which is bigger: -28 or -22? -22 Is -1 smaller than 30/293? True Is -1 smaller than -29/15? False Is -384 at most as big as 29? True Are 1 and -2/97 non-equal? True Is 70 >= 67? True Does -6 = 0.12? False Which is smaller: -12 or -315/29? -12 Is -1/4 smaller than -98.8? False Which is bigger: 55 or 6? 55 Which is smaller: 39 or 40? 39 Which is bigger: -16/2663 or 0? 0 Is 49/72 >= 1? False Which is bigger: 12/1153 or 0? 12/1153 Which is smaller: -87/19 or -4? -87/19 Is 0.0661 >= -0.2? True Which is greater: -93 or 1/2? 1/2 Is -1378 at most as big as -1379? False Is 110 at most 110? True Which is bigger: -0.2 or 519? 519 Are -523 and -523 non-equal? False Is -40 smaller than -4? True Is 3281 > 0.1? True Is -2042 at least -2043? True Which is smaller: 0 or 19/1221? 0 Which is greater: 1 or 24/67? 1 Do -0.01187 and 2 have different values? True Is -4/9 at most as big as 882? True Which is smaller: -1 or -17/3? -17/3 Which is greater: -180 or -166? -166 Which is greater: 0.4 or -198? 0.4 Is -468 less than -469? False Is 16/2213 at least as big as 1? False Which is bigger: 132 or 133? 133 Is -1866 less than 5/6? True Is 2/2151 equal to 14? False Is -96 greater than -92? False Is -58 greater than or equal to -33? False Which is greater: 21 or -1/7? 21 Which is bigger: 4/19 or 6? 6 Is 1.568 greater than or equal to 1? True Which is smaller: -0.219 or -0.2? -0.219 Which is bigger: 1391 or 9747/7? 9747/7 Which is greater: 110 or 1200/11? 110 Which is greater: 58 or 404/7? 58 Which is smaller: -106/5 or -22? -22 Is -96 smaller than -678/7? False Which is bigger: -30 or -475/16? -475/16 Is -7 at most as big as 2/979? True Is 1 greater than -21/184? True Which is smaller: 332/13 or 25? 25 Which is smaller: -29 or -57/2? -29 Are 5962 and 5962 unequal? False Which is smaller: -102 or -101? -102 Does -1.8138 = 1? False Which is smaller: -2/38211 or 1? -2/38211 Is -0.01225 greater than or equal to -1? True Is 37258 at least 37259? False Is -19763 >= -19763? True Is -452 at least -449? False Is 702 smaller than 701? False Is -100 < -2/9? True Which is smaller: 4572 or 4576? 4572 Which is greater: -4 or -9/2? -4 Is 36 less than or equal to 249/7? False Which is smaller: -1 or 15/761? -1 Is 1 > 24/863? True Is -11070 at least as big as -11070? True Which is smaller: -2472 or 0.3? -2472 Which is smaller: 312 or 311? 311 Which is smaller: 6 or 110? 6 Is 609 >= 605? True Which is smaller: -3/5 or -49? -49 Which is greater: 1/22933 or 0.1? 0.1 Is 210 at most as big as 209? False Which is smaller: -1/36466 or 0? -1/36466 Is 1 greater than 4/7? True Is -24 <= -24? True Is -2/8411 > -1? True Do -1 and 2/837 have the same value? False Is 54/11 at least 5? False Which is bigger: 1 or -8/85? 1 Which is greater: -1530 or 1? 1 Is 3 >= 18? False Which is smaller: 0 or 8/201? 0 Is -15 bigger than -11? False Are 181 and -1/4 non-equal? True Which is smaller: 34 or 40? 34 Is -5 at least as big as -71/14? True Does 1 = -4/409? False Which is greater: 1/456 or 1? 1 Which is greater: 151 or -1/3? 151 Are -444 and -444 unequal? False Is -54 <= -47? True Which is smaller: 45 or 43? 43 Which is smaller: 137 or 138? 137 Which is bigger: -0.1 or -11745? -0.1 Is -3 greater than 4136? False Is -1135 equal to -1134? False Is -3.8 bigger than 2? False Is 12 > -5.5? True Which is smaller: -3 or 241? -3 Is 2778 != 2777? True Which is greater: 15 or 59/4? 15 Which is smaller: -49/50 or -2? -2 Is -100 at most 1/2? True Which is bigger: -146 or 0? 0 Which is greater: -7 or 13? 13 Which is smaller: 421 or 28? 28 Which is smaller: -784 or 7? -784 Which is smaller: 736 or 739? 736 Which is bigger: 6 or 346/59? 6 Are -30/43 and -2 unequal? True Which is bigger: -23/490 or 0? 0 Is -19447 smaller than -19446? True Is -224/87 smaller than -2? True Does -132 = 1? False Is 1.811 not equal to 1? True Is -1208 <= 0.04? True Which is smaller: 273/8 or 35? 273/8 Which is greater: 936 or 934? 936 Which is smaller: -1 or 2/281? -1 Are 5351/4 and 1339 unequal? True Are -1980 and -1980 nonequal? False Is -429/4 less than -106? True Which is greater: -169 or -37? -37 Which is bigger: 174 or 173? 174 Which is greater: -1/2 or -9700? -1/2 Which is smaller: 1582 or 10? 10 Is 14/3 bigger than 10? False Which is bigger: 0 or 10/1061? 10/1061 Which is greater: -5/47 or 0? 0 Which is smaller: -4277 or -17111/4? -17111/4 Are 68/31 and 3 equal? False Is 4/3 less than or equal to 2? True Which is bigger: 34 or 209/6? 209/6 Which is bigger: 46 or 34? 46 Which is bigger: -4952 or -4953? -4952 Which is smaller: 85 or 66? 66 Which is smaller: -10 or 7? -10 Which is greater: 30 or 25? 30 Is 604 at most as big as 1811/3? False Is -36 not equal to 19? True Is -16/407 at most as big as 0? True Is 1/3 greater than -21789? True Which is greater: -1 or -1/57798? -1/57798 Is 0 less than 3/67? True Is -44 less than -48? False Is -11 >= -82/7? True Which is greater: -108 or -103? -103 Is -5 < -4? True Are 610 and 5486/9 nonequal? True Does 0 = 1/24? False Is 25 != 1313? True Which is smaller: -3138 or -3141? -3141 Is 0.08678 > -0.4? True Is -8052 less than or equal to -8054? False Which is bigger: -53/5 or -10? -10 Which is smaller: 30/197 or 1? 30/197 Is 14651 smaller than 14651? False Is -15 at most -0.3? True Is -396 greater than -1585/4? True Which is bigger: -46 or -45? -45 Which is smaller: -1 or -1/17024? -1 Is -515 less than 1/3? True Which is bigger: -7 or -6? -6 Which is smaller: 26/109 or -1? -1 Which is greater: 1/5689 or 1? 1 Is 33/328 equal to 0? False Which is smaller: -26 or -22? -26 Is 61/25 greater than or equal to 1? True Which is greater: -1 or -112? -1 Which is greater: 0.242 or 4? 4 Which is greater: -5490 or -16471/3? -5490 Do -930 and -942 have the same value? False Is -2336 not equal to -2336? False Do 1 and -1 have different values? True Which is smaller: 0 or -218/209? -218/209 Which is bigger: -250 or -190? -190 Which is bigger: 2/10741 or 0? 2/10741 Is 0.08 greater than or equal to -5? True Is 55 bigger than 110? False Which is smaller: 13318 or 1? 1 Which is greater: -11/696 or -1? -11/696 Which is smaller: -10 or -46/5? -10 Which is smaller: -14077 or -14078? -14078 Is -11 at least as big as -16? True Is -4414 smaller than 0.1? True Which is smaller: 218 or -0.11? -0.11 Which is smaller: 91 or 81? 81 Which is bigger: 21/125 or -1? 21/125 Which is bigger: 0 or 4/465? 4/465 Is 107/14 less than or equal to 9? True Which is bigger: -187 or -189? -187 Does -109 = -109? True Is -5/13 != -51? True Is -290 smaller than -292? False Which is smaller: 16/173 or -1? -1 Is 1.5 less than or equal to 39? True Which is greater: 2 or -407? 2 Is -262 greater than or equal to -2362/9? True Which is smaller: -158 or -149? -158 Is -129 <= -121? True Is 493 less than 2? False Is -273 < -0.1? True Is -108/11 != -9? True Is 1 < -1/14729? False Which is smaller: 1 or -104? -104 Is -37 smaller than 10? True Which is smaller: 15/14 or 12/11? 15/14 Which is smaller: -1/128 or -63? -63 Which is smaller: -31 or -29? -31 Which is bigger: -81 or 7? 7 Which is bigger: 0.1 or 440? 440 Which is smaller: -1 or -1/6410? -1 Which is smaller: 66/19 or 3? 3 Which is greater: -5347/5 or -1068? -1068 Is 570 bigger than 570? False Which is bigger: 9/115 or 2/5? 2/5 Is 1/3 not
{ "pile_set_name": "DM Mathematics" }
16*v - 6*v - 390 = 0. Let f = -9 + v. What is the lowest common multiple of f and 14? 210 Let u = -38 + 70. Suppose -5*n - 4*b - 63 = 53, 5*n + 5*b = -115. Let s = n + u. Calculate the lowest common multiple of 10 and s. 40 Let i be 20397/(-324816) + -4 - -2. Let s = i - -2/6767. Find the common denominator of ((-255)/(-33))/(6/3) and s. 176 Let a(m) = -27*m**3. Let y(d) = d**2 - 3*d - 16. Calculate the lowest common multiple of y(-3) and a(-1). 54 Let y = -54 + 61. What is the common denominator of (-6)/y*((-969)/120 + 3) and -61/45? 180 Suppose -79 + 51 = -4*n. Calculate the smallest common multiple of n and 53. 371 Suppose -5*g + 27 = -3. What is the least common multiple of 40 and g? 120 Suppose a - 12*d + 14*d - 12 = 0, 102 = 5*a - 4*d. What is the smallest common multiple of 100 and a? 900 Suppose 4*p = 3*g - 2*g - 154, 2*g + 43 = -p. Let w = 49 + p. Calculate the smallest common multiple of 1 and w. 10 Let c(x) = -x**3 - 5*x**2 - 7*x - 6. Calculate the smallest common multiple of c(-4) and 3. 6 Calculate the smallest common multiple of 10 and (29 - -2) + 5 + -11. 50 Let s be ((-4)/1)/(2/(-1)). Suppose 25 = s*c - 19. Calculate the smallest common multiple of 8 and c. 88 Suppose t = s + 5, -4*t + 5*s = -9*t + 5. Suppose -t*y - y + 72 = 0. What is the lowest common multiple of y and 22? 198 Suppose -22218 = -16*z + 10*z. Let i = z - 22369/6. Calculate the common denominator of 50/57 and i. 114 Calculate the smallest common multiple of 722 and -18*(1 - 5)/((-18)/(-3)). 4332 Suppose -z + 5*o + 76 = -2*z, -5*z - 449 = 2*o. Let t = z + 95. What is the least common multiple of t and 16? 16 Let f = 38 - 32. Suppose q = 2 - f, q = 5*z - 39. What is the lowest common multiple of 19 and z? 133 Suppose -15 - 5 = -5*x. Let o(p) = -139*p + 289. What is the lowest common multiple of o(2) and x? 44 Let y(w) = -6*w**3 - 6*w**2 - w - 6. Calculate the smallest common multiple of y(-2) and 35. 140 Suppose 2*r + 628 = 5*f, -f - 4*r + 3*r = -127. What is the smallest common multiple of f and 16? 1008 Let l(p) = -2*p**2 + p - 408 + 379 - p**2. Calculate the common denominator of l(0) and -12. 1 What is the smallest common multiple of 28 - 24 - (-35 + (-1)/1) and 100? 200 Let m(j) = j**2 + 15*j + 4. Let r be m(-14). Let g = r + 12. Suppose x = 12 - g. Calculate the smallest common multiple of 1 and x. 10 Let i be 2 + (1 - -2)*-1. Suppose -j = 2*d - 26, 4*d = 3*d + 2*j + 8. What is the least common multiple of d and (i - -1) + -1 - -5? 12 Let x(u) = -16*u - 5. Let w be x(-3). Let i = w + -60. Let y = i + 26. What is the least common multiple of 1 and y? 9 Let o be (-3 - 670/(-175))/(66/(-15)). Let q = -129383/22 - -5883. Let p = q - o. Find the common denominator of p and -71/18. 126 Let l be (-4)/28 - 6204/(-112). Let g = -507/8 + l. Let m = -52 - -100. What is the common denominator of m and g? 8 Let j(n) = -n**3 + 8*n**2 - 7*n + 6. Let s(g) = -2*g**2 + 24*g - 35. What is the least common multiple of j(7) and s(10)? 30 Let c(o) = 12*o**2 + 3*o + 3. Let s = -604 + 607. What is the lowest common multiple of s and c(3)? 120 Let r be (-4)/(-10)*(-3)/38. Let u = 27898609/1803290 + -24/9491. Let s = r - u. What is the common denominator of s and -79/8? 8 Suppose 2*r - 6 = 18. Let p(u) = 4*u - 2. Suppose -26*s - 24 = -30*s. Calculate the least common multiple of p(s) and r. 132 Let l be 2/(1/2*4). Calculate the smallest common multiple of 112*4/6*(-3)/(-4) and -20*2/(-4)*l. 280 Let j = 36 - 36. Suppose j = -3*f + f + 32. Calculate the smallest common multiple of f and 8. 16 Let h = -6/349 - -18557/3490. Calculate the common denominator of -53/405 and h. 810 Suppose 86 = y + y. Let s be -7 - -7 - -5*2. Find the common denominator of y and (-3)/9*36/s. 5 Let m be 3 - (1 + 1012950/208252). Let c = -2/4733 - m. Calculate the common denominator of -73/12 and c. 132 Let s = -893/22 - -11641/275. Calculate the common denominator of 36/55 and s. 550 Let s(f) = -2*f - 18. Let q be s(-17). Calculate the common denominator of (-7)/q + -2 - (-6)/(-12) and 139/12. 48 Let l be (2/(-5))/((-5)/((-8600)/(-2))). What is the common denominator of (147/(-12))/(l/(-32)) and 9/7? 301 Let x = 1495/4 + -382. Suppose -2*k + b - 1 = 0, 5*b + 12 = b. What is the common denominator of x and k - (-4)/((-128)/(-452))? 8 Let a = 6157/4 - 1539. Calculate the common denominator of 157/342 and a. 684 Let w = -18 + 23. Suppose 26 = -f + 3*f - 4*m, -20 = w*m. Suppose -k = -f + 2. What is the smallest common multiple of 6 and k? 6 Let d = 638524455290/325234248339 - 55596/4708831. Let k = 3/3289 + d. Find the common denominator of 31/24 and k. 168 Let o be (-14)/(-6) + (-2)/6. Suppose 7 = -o*i + 19. Let c = 5568 - 5546. What is the least common multiple of i and c? 66 Find the common denominator of 4074/28*2/324 and 37/6. 108 Let k(r) = -3*r - 2. Let f be k(-2). Suppose w = f - 1. Let c(j) = -j**2 - 10*j - 12. What is the least common multiple of c(-7) and w? 9 What is the least common multiple of 63/(-147) - (-7)/(147/1164) and 50? 550 Let s = -796 - -832. Calculate the least common multiple of s and 9. 36 Suppose -16*d - 5*d + 9135 = 0. What is the lowest common multiple of 24 and d? 3480 Let a(l) = -11*l**2 - 17*l - 9. Let k be a(8). Let z = -2572/3 - k. Find the common denominator of -31/6 and z. 6 Suppose -4*k + 35 = 5*l + 6, 5*l + 3*k - 33 = 0. Suppose h = 2*d + 19, d = -3*d - 20. Calculate the smallest common multiple of l and h. 9 Let p(d) = 15*d + 643. What is the lowest common multiple of p(-41) and 203? 812 Let z be (4 - 0)/(6/3). Calculate the common denominator of (-1 - 19/4)*-3 and (5252/182)/(z + -1 - -3). 28 Let n = -279/13 + 7565/364. Find the common denominator of n and -117/20. 140 Suppose 3*s = 92 + 79. Let r = 59 - s. What is the least common multiple of 18 and r? 18 Let m = -899 + 375. What is the common denominator of -37/7 and 4/10 - (m/30)/(-2)? 21 What is the smallest common multiple of 16 and 8/(-12)*192/(-4)? 32 Let d(o) = -o**2 + 46*o - 188. What is the smallest common multiple of d(34) and 44? 220 Suppose -4 = 2*x - 4*x. Suppose -2*o = -6 - x. Let b(g) = g**2 - 11*g + 12. Calculate the smallest common multiple of o and b(11). 12 Let u = 51 + -51. Let h = 9 - u. Calculate the least common multiple of h and 18. 18 What is the common denominator of -52/35 and 2 + 9/((-2520)/724)? 70 Let m = -20 + 13. Let t = 7 + m. Calculate the common denominator of (t + 38/(-56))*-4 and -17/9. 63 Let w = -316027048996 + 54969744902912191/173940. Let t = -2/8697 + w. Calculate the common denominator of (-177)/(-20)*(-2)/(-3) and t. 20 Suppose 0 = 7*g - 182 + 70. What is the smallest common multiple of 19 and g? 304 Suppose -74*i = -4*u - 69*i + 158, -u - 2*i + 46 = 0. Calculate the least common multiple of 166 and u. 3486 What is the common denominator of 2/1 + 2790/(-405) and 2/51? 153 Let i(h) = 48*h - 27. What is the smallest common multiple of i(3) and 143? 1287 Let a(f) = 14*f**2. Suppose 5*z + 9 = -21. Let t = z - -22. What is the lowest common multiple of a(1) and t? 112 Let q be ((-2)/(-4))/(3/6). Suppose p - 1 = 0, -q = 2*j - 2*p - 7. Calculate the least common multiple of j and 25. 100 Suppose 5*w - 4*w - 5 = 0. Find the common denominator of -99/20 and 8 - w - (-162)/(-20). 20 Suppose -2*o = 2*z + 2*z - 34, 3*z = -o + 21. Suppose -3*s + 0 = -18. Calculate the smallest common multiple of o and s. 18 Let t be (-2)/(-3)*(-4 + -2123). Let x be (t/(-106))/(0 + -7). Let n = x - -18/53. What is the common denominator of n and 37/3? 21 Suppose 0 = -5*m + 2*q + 82, -13*m - 4*q = -15*m + 20. Calculate the lowest common multiple of 96 and m. 288 Let c = 1010 + -3076/3. What is the common denominator of c and -1 + 84/76 + (-5834)/912? 24 Let f be (3/9)/((-1)/(-282)). Let h = -80 + f. Calculate the lowest common multiple of 2 and h. 14 Let n(v) = v**2 + 1 - 2*v - 16*v + 10 - 3. Let m = 22 + -12. What is the smallest common multiple of n(18) and m? 40 Suppose -5619 = -3*x - 909. Find the common denominator of x/(-45)*9/84 and -68/9. 126 Suppose -v = -4*a + 123, -v + 57 = 3*a - a. Let l = a + -24. What is the least common multiple of l and 12? 12 Let c(z) = -z**3 - 10*z**2 - 5*z + 45. What is the lowest common multiple of c(-9) and 191? 1719 Suppose 0 = 11*b - 17*b + 30. What is the least c
{ "pile_set_name": "DM Mathematics" }
159 + 344 - q**2 + 5*q**2. 4*q**2 Collect the terms in 8*a**3 - 884846 + 884846. 8*a**3 Collect the terms in 2162*p**2 - 6488*p**2 + 2156*p**2 + 2168*p**2. -2*p**2 Collect the terms in -20*b**2 + 4*b - 4*b + 19*b**2. -b**2 Collect the terms in 18*r**2 - 4*r**2 + 46*r - 46*r + 2*r**2. 16*r**2 Collect the terms in -47573 + 47573 + 2*p. 2*p Collect the terms in -438 + 147 + 142 - 10*f**2 + 149. -10*f**2 Collect the terms in 2*k - 5*k - 18*k. -21*k Collect the terms in 5*u - 2*u**2 - 5*u - 10*u**2. -12*u**2 Collect the terms in 7*u**2 + 0*u**2 - 4*u**2. 3*u**2 Collect the terms in 2*k + 18*k**3 - 2*k - 20*k**3. -2*k**3 Collect the terms in 0*p - 27*p**2 - 6*p**2 + 0*p. -33*p**2 Collect the terms in 30*t**2 + t**2 - 18*t**2. 13*t**2 Collect the terms in 519 + 565 - 2*r - 1603 + 519. -2*r Collect the terms in 1830*i + 10*i**3 - 1830*i. 10*i**3 Collect the terms in 308 + 6*u - 6*u - 308 - 2*u**2. -2*u**2 Collect the terms in -59 - 3*j**3 - 97 + 156. -3*j**3 Collect the terms in -23*p - 1650 + 1650. -23*p Collect the terms in -9 + 8 - 1 + 2 - 7*o**2. -7*o**2 Collect the terms in -31*k + 0 + 62*k - 32*k + 0. -k Collect the terms in 22*l**2 + 9*l**2 - 47*l**2. -16*l**2 Collect the terms in -41*n - 159*n - 13*n. -213*n Collect the terms in -s**3 + 7*s**2 - 10*s**3 - 7*s**2. -11*s**3 Collect the terms in -3*p**2 + 24*p**2 + p**2 + 8*p**2. 30*p**2 Collect the terms in 42721*y**2 - 21355*y**2 - 21361*y**2. 5*y**2 Collect the terms in 79*u**2 - 13*u**2 - 41*u**2. 25*u**2 Collect the terms in -11*h**3 - 20*h**3 + 36*h**3. 5*h**3 Collect the terms in -404915*b - 2*b**3 + 404915*b. -2*b**3 Collect the terms in 225*w**2 + 222*w**2 - 446*w**2 - 69*w. w**2 - 69*w Collect the terms in 3*k + 115 - 115. 3*k Collect the terms in -1 - 3 + 4 - k**2. -k**2 Collect the terms in -537*t - 2 + 2 + 533*t. -4*t Collect the terms in -7*i**2 + 2 - 4 + 24*i**2. 17*i**2 - 2 Collect the terms in -3 + 3 - 23*u**3 - 46*u**3. -69*u**3 Collect the terms in 11*x - 13 + 9*x - 19*x. x - 13 Collect the terms in -9 + 13*g + 9 + g - 3*g. 11*g Collect the terms in 7*f**2 - 13*f**2 - 5*f**2. -11*f**2 Collect the terms in 4*d**3 + 4*d**3 - 9*d**3 + 8*d**3 - 9*d**3. -2*d**3 Collect the terms in 3*r - 38*r**2 - 2*r + r. -38*r**2 + 2*r Collect the terms in 3*v**3 - 3*v**3 - v**3 - v**3. -2*v**3 Collect the terms in 8*r + 9*r - 20*r + 6*r. 3*r Collect the terms in -4*h**2 - 51*h + 51*h + 28*h**2. 24*h**2 Collect the terms in -i**2 - i**2 + 2*i**2 - 40*i**3. -40*i**3 Collect the terms in 15*k - 14*k - 39*k. -38*k Collect the terms in -26*v**2 - 253 + 253. -26*v**2 Collect the terms in -10*u**2 - 20*u**2 + 34*u**2. 4*u**2 Collect the terms in y - 3*y + 6 - 21. -2*y - 15 Collect the terms in -3*g + g**2 + 21*g - 18*g. g**2 Collect the terms in -23*j**2 + 39*j**2 - 17*j**2. -j**2 Collect the terms in k**2 - 2*k**3 - k**2 - 6*k**3. -8*k**3 Collect the terms in 14*x**2 - 7*x**2 - 3*x**2 - 22*x + 22*x. 4*x**2 Collect the terms in -q + 11*q - 3*q - 3*q. 4*q Collect the terms in 139*w - 72*w - 66*w. w Collect the terms in -105*c**2 - 93*c**2 + 305*c**2 - 97*c**2. 10*c**2 Collect the terms in 4*w**2 - w**2 + 40*w**2 - w. 43*w**2 - w Collect the terms in -12*a**2 + 4*a**2 + 5*a**2 + 2*a**2. -a**2 Collect the terms in -69*h**3 + 221*h**3 - 62*h**3 - 28*h**3 - 64*h**3. -2*h**3 Collect the terms in 32*s + 20*s**3 - 32*s. 20*s**3 Collect the terms in -11*w + 12*w - 9*w. -8*w Collect the terms in w**2 + 48708 - 48708. w**2 Collect the terms in -1592*s**2 - 1590*s**2 - 1598*s**2 + 4785*s**2. 5*s**2 Collect the terms in 9 + 3*g**3 + 117*g**2 - 9. 3*g**3 + 117*g**2 Collect the terms in -4 - 9*p**2 + 2*p**2 + 4. -7*p**2 Collect the terms in -30*w + 7*w + 8*w + 14*w. -w Collect the terms in 653*r**3 + r - r. 653*r**3 Collect the terms in 0*g**2 - 7*g**2 + 12*g**2. 5*g**2 Collect the terms in 4*h**2 - 74*h + 74*h - h**2. 3*h**2 Collect the terms in -35 - a + 4*a - 4*a. -a - 35 Collect the terms in 21186*o**2 + o**3 - 21186*o**2. o**3 Collect the terms in -2*j**2 + 26*j**2 + j - j. 24*j**2 Collect the terms in -7*o + 417*o**2 + 7*o. 417*o**2 Collect the terms in -18*n**2 - 9*n**2 + 6*n**2. -21*n**2 Collect the terms in -6*l**3 - 3*l**3 - 3*l**2 + 3*l**2. -9*l**3 Collect the terms in 27*a - 35*a + 5*a. -3*a Collect the terms in 21*l**3 + 35*l**3 + 28*l**3. 84*l**3 Collect the terms in 7 + 7*z**2 - 7 + 6*z**2. 13*z**2 Collect the terms in -t**2 + 2 - 4 - 2 + 4. -t**2 Collect the terms in -v - 4*v**2 + v**2 + 6*v**2 - v**2. 2*v**2 - v Collect the terms in -65*n + 34*n + 40*n. 9*n Collect the terms in -18 + 24*x + 18. 24*x Collect the terms in -350*t**3 + 354*t**3 + 2*t**2 - 2*t**2. 4*t**3 Collect the terms in -110*q**3 - 61*q**3 - 14*q**3. -185*q**3 Collect the terms in -2*g + 46*g + 92*g. 136*g Collect the terms in 8*u - 56368 + 56368. 8*u Collect the terms in -1513452 + 4*k**2 + 1513452. 4*k**2 Collect the terms in -4*l + 2*l + l - l. -2*l Collect the terms in 8*r**3 - 8*r**3 - 4*r**3 + 5*r**3 + 0*r**3. r**3 Collect the terms in 13*y - 2*y - 22*y - 41*y. -52*y Collect the terms in 10*b**3 + 18*b**3 - 21*b**3. 7*b**3 Collect the terms in 46453*f**2 + f**3 - 46453*f**2. f**3 Collect the terms in -51*h**2 - 6*h**2 - 7*h**2. -64*h**2 Collect the terms in 32*v - 14*v**2 - 32*v. -14*v**2 Collect the terms in 3*o**2 - 4442*o + 4442*o - o**2. 2*o**2 Collect the terms in 24*l - 15*l + 0 + 0. 9*l Collect the terms in 3*q**2 - 13*q**2 - 24*q**2. -34*q**2 Collect the terms in 3*l**3 - 37*l**3 - 120*l**2 + 120*l**2. -34*l**3 Collect the terms in -174*y - 22*y - 4*y. -200*y Collect the terms in -3*k**3 - 4*k**3 + 3*k**3 + 5*k**3. k**3 Collect the terms in -31*r**2 + 30*r**2 + 31*r - 11*r - 20*r. -r**2 Collect the terms in -3*z + 5*z + 1 - 9*z - 1. -7*z Collect the terms in 3*y**2 + 5*y**3 - 3*y**2 - 6*y**3. -y**3 Collect the terms in -3*c + 0*c + c + c. -c Collect the terms in -1286 + 1286 + g**2. g**2 Collect the terms in -1103*t + 1103*t + 20*t**2. 20*t**2 Collect the terms in 4*q**2 + 2*q + 5*q - 7*q. 4*q**2 Collect the terms in 0*u**2 + 6*u**2 + 7*u**2 - 6*u**2. 7*u**2 Collect the terms in 17*t + 13*t + 7*t + 11*t. 48*t Collect the terms in 9*c**2 - 6*c**2 - c**2 - 4*c**2. -2*c**2 Collect the terms in -22*v**2 + 2 - 2 + 56*v**2. 34*v**2 Collect the terms in -v + 0*v - 4*v - 8*v. -13*v Collect the terms in 5*c**2 - 14*c + 4*c + 10*c. 5*c**2 Collect the terms in -18*o**2 + 18*o**2 + 3*o**3. 3*o**3 Collect the terms in -9 + 9 - 5*b. -5*b Collect the terms in 10 + 3*c - 10 + 5 - 5. 3*c Collect the terms in 3*r**3 - 6 + 6 + 2849*r**2 - 2849*r**2. 3*r**3 Collect the terms in 20*m**3 - 7*m**3 - 10*m**3. 3*m**3 Collect the terms in -3*n - 2*n**2 + 9*n**2 + 4*n**2. 11*n**2 - 3*n Collect the terms in 2091*f**3 - 1037*f**3 - 1049*f**3. 5*f**3 Collect the terms in -4*c + 5*c + c**2 - 2*c**2 - 17*c**2. -18*c**2 + c Collect the terms in -r + 0*r - 11*r. -12*r Collect the terms in -10*w + 262 - 262 + 13*w. 3*w Collect the terms in -l**2 + 470*l - 470*l - l**2. -2*l**2 Collect the terms in -163483 - 16*n**3 + 163483. -16*n**3 Collect the terms in 10*q**2 + 10*q - 7*q - 5*q + 2*q. 10*q**2 Collect the terms in o + 48 + 40 - 88 - 3*o. -2*o Collect the terms in -1050*t**2 + 529*t**2 + 526*t**2. 5*t**2 Collect the terms in 8*x + 2 + 18*x + 2. 26*x + 4 Collect the terms in 101*d**2 - 51*d**2 - 59*d**2. -9*d**2 Collect the terms in w**2 - 11650 + 11650. w**2 Collect the terms in -1 + z - 3*z + 3*z - 4. z - 5 Collect the terms in -2*s + 5*s - 2*s + 3*s**3 + 7*s**3. 10*s**3 + s Collect the terms in 197*y**2 - 166*y**2 - 34*y**2. -3*y**2 Collect the terms in -6217*t**2 - 2*t**3 + 6217*t**2. -2*t**3 Collect the terms in -38*h + 9*h - 23*h. -52*h Collect the terms in 210*n**2 - 416*n**2 + 209*n**2. 3*n**2 Collect the terms in -31*g**3 - 13*g**3 + 2*g**3. -42*g**3 Collect the terms in -97 - 24 + f - 92 - 3*f. -2*f - 213 Collect the terms in -2*r**3 - 4*r**3 + 0*r**3. -6*r**3 Collect the terms in 10 - 4 + 2*v - 6. 2*v Collect the terms in w**2 - 2*w**2 + 8 - 8. -w**2 Collect the terms in 809*h - 1600*h + 792*h. h Collect the terms in 7 - 3 + 1 + k - 5. k Collect the terms in 2*s**3 + 6*s**3 - 9*s**3. -s**3 Collect the terms in 13 - 8*x**2 - 14 - 6*x**3 + 1. -6*x**3 - 8*x**2 Collect the terms in 11 + 37 + 774*z - 775*z. -z + 48 Collect the terms in -4*z**2
{ "pile_set_name": "DM Mathematics" }
1307 = -32. Let n = -203 + a. What is the remainder when 70 is divided by n? 18 Suppose 0 = -386*b + 14158 + 106508 - 9112. Calculate the remainder when 576 is divided by b. 287 Suppose t + t - 6 = 0. Suppose 2*q - 32 = -2*q - 2*r, 0 = t*q - 2*r - 17. Suppose 72 = -q*p + 10*p. Calculate the remainder when 71 is divided by p. 23 Let a(w) = -w**2 - 6*w + 3. Let k be a(-3). Suppose k*q = 49 - 1. Let d(t) = 4*t**2 + 2*t - 1. What is the remainder when d(1) is divided by q? 1 Let k(z) = 4*z - z**3 + 5070*z**2 - 5063*z**2 + 0 - 3 + 2*z. Calculate the remainder when k(6) is divided by 35. 34 Let z be ((-330)/(-495))/(2/15). Suppose 3 + 6 = 3*i. Suppose 5*c + 2*v = 45, z*v = i*c - 0*c + 4. What is the remainder when c is divided by 6? 1 Let f(s) = -70*s + 383. What is the remainder when 126 is divided by f(5)? 27 Calculate the remainder when 47 is divided by 7 - (1 - (-216)/(-8)) - (1 - -1). 16 Suppose 7*n + 11 = -45. Let d = 124 - n. What is the remainder when d is divided by 35? 27 Let m(u) = u**2 + 3*u - 7. Let n = 519 - 513. Suppose -3*s + 5*y - 34 = -n*s, 62 = 5*s + 3*y. What is the remainder when m(5) is divided by s? 7 Let c = 5200 - 5116. What is the remainder when c is divided by 43? 41 Let n(f) = 32 + 31 + 27*f - 19*f + 3. What is the remainder when 19 is divided by n(-7)? 9 Let l(h) = -4*h**3 - 15*h**2 - 40*h + 15. Calculate the remainder when l(-7) is divided by 228. 20 Let g be (9/(-15))/((-9)/(-7335)). Let s = -285 - g. Calculate the remainder when s is divided by 69. 66 Let h(p) = -4*p**3 - 89*p**2 - 23*p - 18. Let q be h(-22). Suppose -213 = -q*a + 11. Calculate the remainder when 500 is divided by a. 52 Suppose -3 - 70 = q. Let f = q - -77. Suppose 5*h + 3 = f*h, -5*b + 2*h = -81. Calculate the remainder when b is divided by 4. 3 Suppose 0 = 8*d + 305 + 2695. Let k = 423 + d. Calculate the remainder when 91 is divided by k. 43 Suppose 4*s = 5*i + 326, 3*s + 65 + 70 = -2*i. Let v be ((-24)/30)/(3/(690/2)). Let d = i - v. What is the remainder when d is divided by 7? 5 Suppose -4*t + 144 = 2*u, -2*u = -5*t - 111 - 42. Calculate the remainder when 325 is divided by u. 29 Calculate the remainder when 54 is divided by ((-369)/(-30) - -4) + 93/(-310). 6 Suppose 25*g = 16*g - 108. Suppose 595 = 4*h + h + 4*f, 4*h - 476 = 2*f. What is the remainder when h is divided by g*4*25/(-40)? 29 Let g(u) = -69*u - 119. Calculate the remainder when 1834 is divided by g(-7). 14 Let w(n) = n**2 - 23*n - 58. Suppose -s + 9 = 8*i - 13*i, 0 = -5*s + 2*i + 137. What is the remainder when w(s) is divided by 11? 6 Let n = 12070 - 12055. Let s(u) = 10*u + 4. Calculate the remainder when s(4) is divided by n. 14 Let c(i) be the second derivative of -11*i**3/6 - 106*i**2 + 92*i. Calculate the remainder when c(-20) is divided by 3. 2 Suppose 28 = -5*r + 12*r. Suppose 0 = -q, 4*i = -0*i + r*q - 460. Let o = -107 - i. Calculate the remainder when 10 is divided by o. 2 Let c = 336 - 288. What is the remainder when c is divided by 35? 13 What is the remainder when -1 + (109 + 1)/1 is divided by -8 - (24/20)/((-13)/390)? 25 Let l = 638 - 359. Suppose -2*p + 5*p = l. What is the remainder when p is divided by (-3530)/(-353) - (-3)/((-12)/(-152))? 45 Let y(s) = 20*s + 176. Let q(j) = 2*j + 16. Let z(l) = -32*q(l) + 3*y(l). What is the remainder when 199 is divided by z(-1)? 19 Let u(g) = -2*g**3 + g**2 - 21*g - 31. What is the remainder when u(-7) is divided by 123? 113 Suppose 2*j - 2*r - 495 = -3*j, -297 = -3*j - 3*r. Suppose 3*p + 1164 = 9*p. Let k = p - j. Calculate the remainder when k is divided by 48. 47 Let k(j) = -2*j**3 + 14*j + 26. Suppose 0 = -4*h + 9 + 27. Calculate the remainder when k(-5) is divided by h. 8 Let z(q) = 8*q**2 - 31*q + 1. What is the remainder when (-19)/(-2)*3*2 is divided by z(4)? 2 Let l(v) = v**2 - 16*v + 41. Let w be l(13). Suppose -44 + 52 = w*n. What is the remainder when 10 is divided by n? 2 What is the remainder when 14/(-14)*-147 + -16 is divided by 35? 26 Let z(i) = 1022*i + 2924. Calculate the remainder when 1805 is divided by z(-2). 45 Suppose -2*q = -3*q + 16. Let h be 4*1/(q/108). Suppose -s + h = -37. Calculate the remainder when s is divided by 22. 20 Suppose 9*l - 2805 = -2*l. Suppose -8*d + 11*d + 4*p - 96 = 0, 0 = 4*d - 4*p - 128. Calculate the remainder when l is divided by d. 31 Let d = -8 - -14. What is the remainder when 250/75*(0 - (76/(-10) + 1)) is divided by d? 4 Suppose -3*z = -z + 4, -3*z - 63 = -3*a. Suppose 28*i + 88 - 55 = 1041. Calculate the remainder when i is divided by a. 17 Let r(o) = -o**3 - o**2 + 18*o + 16. What is the remainder when 1634 is divided by r(-5)? 22 Let k(d) = -3*d + 13. Let y(v) = v**2 + 5*v + 6. Let w be y(-2). Let b be k(w). Suppose -754 = -b*n - 0*n. Calculate the remainder when n is divided by 22. 14 Let d(w) = -w**3 + 6*w**2 - 6*w + 5. Let b = 6268 - 6128. What is the remainder when b is divided by d(4)? 10 Let d be 1/(1/114) - 2. Suppose 0 = -x - 2*c - 27 - 79, -2*x = 3*c + 213. Let q = d + x. What is the remainder when q is divided by 3? 1 Let q(u) = -u**3 - 10*u**2 + 5*u + 6. Let o be q(-10). What is the remainder when 77 is divided by (-30 - -25)/(10/o)? 11 Suppose -75 = -105*q + 240. Suppose 2*m - 81 = 3*t, -m + 4*m + 5*t = 112. Let f = m - 23. What is the remainder when f is divided by q? 1 Let y be 0/7 - (-1 - 0). Suppose -k - 8*q = -4*q + y, -3*k - 5*q = 38. Calculate the remainder when 1/((2 + k/11)/1) is divided by 9. 2 Suppose -2*d = -3*w + 37093, -5*w + 1090*d - 1093*d + 61809 = 0. Calculate the remainder when w is divided by 22. 21 Suppose -17*x = -3*x - 56. Let u(p) = 2*p**3 - 4*p**2 - 6*p + 1. Calculate the remainder when 126 is divided by u(x). 3 Suppose 0 = h - 14*u + 13*u - 61, 0 = 5*h + 2*u - 326. Suppose 5*m - 3*n - 6 - 18 = 0, m = n + 4. Calculate the remainder when h is divided by m. 4 Let g(s) = -41*s + 200. What is the remainder when 1216 is divided by g(0)? 16 Let k(c) = 2*c**3 - 29*c**2 - 62*c - 36. Suppose 0 = u - 68 + 8. Calculate the remainder when k(17) is divided by u. 55 Let p = -1350 + 2585. Suppose 3*z - 107 = 85. What is the remainder when z is divided by (3*1)/((-19)/(p/(-15)))? 12 Let z = -52 + 84. Let l = z + -29. Suppose 6*b = b + 4*d + 134, 23 = b + l*d. What is the remainder when b is divided by 15? 11 Let j(o) = 7*o + 9. Let f be j(3). Let x = -58 - -52. What is the remainder when 2/x + 1150/f is divided by 13? 12 Suppose r - 7 = 1. Suppose -2*c = 5*j - 20 - 31, 3*c - 2*j - 124 = 0. What is the remainder when c is divided by r? 6 Let h(x) = 44*x - 180. Let k = 86 + -67. What is the remainder when h(k) is divided by 47? 45 Suppose -5*d + 1544 = -3*r, d + r - 5 = 307. What is the remainder when d is divided by 20? 10 Suppose -3*f - 666 = 292*r - 293*r, 5*f = -3*r + 1970. Calculate the remainder when r is divided by 176. 132 Let q = -16 + 53. Let s = 25 - q. What is the remainder when (4 + s)/2 + 44 is divided by 22? 18 Let c = -854 - -859. Suppose 3*f - 8*f + 4*r + 25 = 0, -10 = -2*f - c*r. What is the remainder when 80 is divided by f? 0 Suppose -7 - 38 = -5*a. Suppose -g = -42 - 12. Let m = g - 19. What is the remainder when m is divided by a? 8 Let k(d) be the second derivative of -d**4/6 + 14*d**3/3 + 3*d**2/2 + 2*d - 1. What is the remainder when k(13) is divided by 8? 5 Suppose -4*u + 12 + 4 = o, 0 = -2*o - 4*u + 20. Let p(l) = 89*l**2 - 82*l**2 + l - 4 - o*l + 2*l**3. What is the remainder when p(2) is divided by 14? 6 Let u(n) = -2*n**2 - 30*n + 970. Calculate the remainder when u(-30) is divided by 15. 10 Let h(w) = 5*w - 110. Let u be h(24). Suppose -62 = u*b - 592. What is the remainder when b is divided by 12? 5 Suppose 0 = -55*c + 653 + 832. What is the remainder when 855 is divided by c? 18 Suppose q + 17 = -3*o, o - 12 - 9 = 5*q. Let k be (15 - 13)*110/o. Let p = 101 + k. What is the remainder when p is divided by 6? 4 Suppose 11*b = 22 + 22. Suppose 2*y - 43 - 9 = 4*c, 0 = -b*y - 5*c + 130. Suppose 7*t - 8*t = -y. Calculate the remainder when t is divided by 11. 8 Let c(g) = g + 12. Let f be c(-6). Suppose t - f*t + 300 = 0. Suppose 115*i = 25*i + 1890. Calculate the remainder when t is divided by i. 18 Suppose x - 5 + 1 = 0. Let a be (-14 + 15)/(2/604). Let j = a - 292. Calculate the remainder when j is divided by x. 2 Wh
{ "pile_set_name": "DM Mathematics" }
is greater: s or n? s Let r = -128 - -225. Let q = 100.9 - r. Let t = q + -4. Is t less than or equal to 0? True Let i(s) = 2*s + 6. Let t be i(-6). Let c be (-1 + t + 0)/1. Let n = c - -22/3. Is n less than or equal to 1? True Let z be 57/(-17) + 1 + 8/4. Which is smaller: z or 1? z Let x(f) = -f**3 + 5*f**2 - 2*f. Let o be x(5). Which is smaller: -11 or o? -11 Suppose 32 = -4*r + 8. Let y be (-2)/7 - 47/14*2. Which is smaller: y or r? y Let w be (13/26)/((-1)/4) + 44. Does w = 42? True Let w = -2 + 3. Suppose -5*h - 14 = 1. Let u be (-1)/h - 4/(-42). Is w <= u? False Let v be (-6 + -1 + 13)/(1/(-4)). Which is greater: v or -23? -23 Let g(b) = 2*b**2 + b. Let s be g(2). Let h = -9 + s. Which is smaller: h or -1/14? -1/14 Let b = 28 - 13. Suppose 5*m + 5*p - b = 0, -2*m - 12 = 2*p - 6*p. Is 0 equal to m? True Let n = 11 + -7. Does n = 6? False Let z be 50/(-18)*-1 - 3. Let r(i) be the third derivative of i**5/60 - i**4/6 - 2*i**3/3 - i**2. Let m be r(5). Which is smaller: m or z? z Let y = 18 + -4. Which is bigger: 1 or y? y Let n = -6 + 6. Suppose l - 2 + 0 = n. Let g be 1 - (l - (-4)/(-5)). Is g greater than 1? False Let z be 1162/(-2418) + 4/6. Let d = -1/31 + z. Let f = 4 + -5. Which is smaller: d or f? f Suppose b + 15 - 31 = 0. Which is greater: b or 12? b Let f be 0 + (40605/63)/(-5). Let l = -129 - f. Which is smaller: l or 1? l Let k(n) = n**2 - 9*n + 5. Let z be k(9). Suppose -17 = -z*o - 7. Which is smaller: 1 or o? 1 Let v be (1/4)/(33/12). Is v greater than 2? False Let c = -4 + 2. Let h = 1 + c. Let y be -7 + 4 + h + -1. Is y greater than or equal to -4? False Let z be -3*4/(-72) + (-172)/24. Is z at least as big as -1? False Let r(t) = t**2 - 7*t + 6. Let k be r(7). Suppose -2 - k = -2*u. Let d be (-14)/(-30) - u/(-20). Is -1 <= d? True Let t be 28/6 - (-2)/6. Suppose -2 = -t*k - 7. Let x be -3*498/(-486) + -3. Are k and x nonequal? True Let l be (-1)/12 + (-4)/8. Let m = 5/6 + l. Which is bigger: 4 or m? 4 Let r = -38.1 + 37.8. Let v = -5 - -8. Let c = v + -2. Which is greater: c or r? c Suppose 0*y - 2*y = -4*w + 18, 3 = -3*y. Which is smaller: w or -4/5? -4/5 Suppose 0 = -w + 3*m + 13, 0*m + m = 5*w - 9. Which is smaller: 2 or w? w Suppose 2*q = 3*q + 3. Let g(a) = -4*a**3 + 2*a - 1. Let x = -11 + 12. Let n be g(x). Is q >= n? True Let u be 192/(-33) - 2/11. Which is greater: -7 or u? u Suppose 5*i - 8*i = -102. Are 32 and i nonequal? True Let l be 1 - (-3 - -2)*-9. Let p = 31/4 + l. Is p less than or equal to 0? True Let m(b) = b**3 - 5*b**2 - 7*b + 8. Let i be m(6). Suppose i*h + 2*h = 0. Let g = -33/40 + 5/8. Is h greater than g? True Let j = 0.22 + -0.02. Which is smaller: 1/3 or j? j Suppose w = 2 - 0. Suppose k - 6 = -w*k. Is 4 <= k? False Let y = -83/450 + 6/25. Which is smaller: y or 1? y Suppose -2*t - 2 = -0. Is 91 not equal to t? True Let i = 119/82 - -2/41. Suppose 0 = -p - 3 + 7. Suppose 4*x - 4 = 0, m + x + x = p. Is m at least i? True Let f = 36 - 33. Is f < 3? False Let z = 0.2 + -1.2. Suppose 0 = -2*d - 2, -5*d + 2 = 5*n + 12. Is n at least z? True Let a be 8/6*1/(30/(-9)). Which is smaller: a or -42/11? -42/11 Let l = 551 - 566. Let j be (-122)/8 + (-2)/(-8). Is j at least l? True Let t be (3 - -11)/((-2)/(-2)). Which is smaller: t or 16? t Suppose -2*m = 3*k + m, -2*k = -5*m + 7. Let p be -5*(k*2 + 1). Suppose -3*q + 8*q = p. Is 3/2 not equal to q? True Suppose 32 = 4*k - 5*f, 0 = -2*f - 5 + 13. Is 9 bigger than k? False Let b = -4 - 1. Let p = 9 + -1. Let v = p + -8.1. Which is bigger: b or v? v Let h = 0.1 - -6.9. Is -0.1 >= h? False Let v = -1.04 + 1. Let f = v - -0.44. Let k = 1.4 - f. Is k greater than or equal to -1? True Let a(p) = -p**3 - 2*p**2 + 2*p - 4. Let y be a(-3). Which is smaller: 9 or y? y Let t = -63199/525 - 11/525. Let m = 121 + t. Which is smaller: 2 or m? m Let o(s) = s + 5. Let z be o(-6). Let p be 1 + (2 + z - 0). Let m be 4/(-14) - 2/(-7). Which is bigger: p or m? p Suppose -3*z - 2*z - c = 11, -5*z + 2*c - 8 = 0. Is 2 not equal to z? True Let l be (6/(-21) - 4/(-14))/(-1). Is -3/16 less than l? True Let o(l) = 2*l - 4. Let x be o(-3). Is x equal to 3/4? False Let f be (-2 + 5)/((-6)/(-4)). Let x = 2 - f. Suppose s + 0*s + 13 = -3*g, x = 4*s - g. Which is smaller: 1/5 or s? s Let d be 2/7 - (-96)/56. Suppose -d*i + 210 = 3*i. Let u be (-2)/(-7) + 156/i. Which is greater: 5 or u? 5 Let j = -6 + 12. Let s = 2.1 - 2.2. Is j at most s? False Let x = 6 - 9. Let g = -3.1 - x. Which is bigger: g or -0.2? g Suppose 7*t - 4*u = 12*t - 33, 0 = -3*t - 2*u + 21. Suppose 0 = 3*v - v - 8. Suppose v*i - 3*i = 9. Is t <= i? True Let l = 3 + 2. Suppose -l = 2*r + 3*b, -5*b = -4*r - 3*b + 14. Is 3/4 at least r? False Let t = -343/11 - -31. Suppose -d - 2*d = -m - 14, -5*d - 2*m + 16 = 0. Let p be d/(-18) - 22/(-18). Is t greater than or equal to p? False Let c be (1/(-2) - -1) + -1. Let d = -2 + 8. Suppose -3 - 6 = 3*t, 0 = 3*r - 2*t - d. Which is smaller: r or c? c Let b = 467/9 + -52. Let p(c) = c + 8. Let g be p(-8). Is b at least as big as g? False Let g(m) = m**2 - m + 2. Let a be g(0). Let k = 1 + 2. Let p = 5 - k. Is p at least a? True Let z(g) = 3 - 2*g**2 + 3*g**2 - 2 - g. Let a be z(1). Let q = -1/89 + 363/623. Which is smaller: q or a? q Let s = -38 - -38.05. Which is smaller: s or 0.1? s Let f(s) = -s**3 - 6*s**2 + 3. Let g be f(-6). Suppose g*t = -2*t + 180. Suppose y + t = -3*y. Is -8 at least y? True Let f = 5 - 4.94. Let k = f + 2.94. Let z = k + -2.9. Is 2 != z? True Let f = 12 + -18. Is f <= -7? False Let l = 16 - 7. Let w be (-150)/54 + (-2)/l. Which is greater: -5 or w? w Let v = -86 - -2837/33. Which is smaller: v or 1? v Let z be (-63)/54 + 2/3. Is 0 greater than z? True Suppose 2*z - n + 0 = 2, -5*n = -z + 1. Which is greater: z or 8/35? z Suppose 0 = -4*z - x - 4, 0*z + 4*x + 16 = z. Suppose 0*q = 3*q. Is q less than or equal to z? True Let p = 3 + 5. Let j = p - 6. Are 2 and j equal? True Suppose g = -5*i + 121, 88 = 2*i + 2*i + 3*g. Do i and 23 have the same value? False Let u = 22 - 16. Suppose -5*p + 2*p + 5*l + 28 = 0, p + 5*l = -4. Suppose -p = -0*i - i. Is u equal to i? True Let c = 13 + -8. Suppose -2*r + 4*d - 10 = -0*d, 0 = -5*r - c*d + 5. Which is bigger: -2 or r? r Let m = 1 - -1. Let l(h) = h**2 + 9*h - m + 1 - 2*h. Let d be l(-7). Which is bigger: d or -2/11? -2/11 Let p = -1.4 - -0.2. Let t = 1.3 + p. Which is smaller: t or -7? -7 Let m = -7658 + 2351008/307. Is m bigger than 1? False Let p = -6 - -5.7. Let v = p + 0.2. Is v > 2/7? False Let a = 141 - 428/3. Let l(p) = -2*p**2 - 1. Suppose 2*q - 3*u + 4 = 0, 15 = 4*q + q + 5*u. Let s be l(q). Is s at least a? False Let q = -67 - -75. Which is greater: -2/5 or q? q Let w = -2 - -2.8. Let z = 0 - 0.2. Let q = z - w. Is q at least as big as 0? False Suppose 3*u - 30 = -0*u. Suppose -2*q = 2*y - u, 0 = -2*y + 4*q - 7*q + 14. Is y less than -4/3? False Let l = -0.16 - -0.96. Suppose -4*r - 3 = 1. Does l = r? False Suppose w + 5*j - 17 = 0, -9*j = 3*w - 11*j. Let f = 221/335 + -4/67. Do f and w have different values? True Let y = -8 - -17. Is -2 greater than y? False Suppose -2*v = -5*d + 15, 6*d = v + d + 15. Let s be v*((-2)/(-3))/(-2). Which is bigger: s or -1/5? s Let v = -29 - -19. Is v at most as big as 1? True Let g = -17.5 - 5. Let o = 23 + g. Is o not equal to -3? True Let b(i) = i**2 + 2*i - 4. Let u be b(-3). Let c = u - -1. Which is bigger: c or -1/3? c Let h = 2.9 + -0.9. Which is bigger: 0 or h? h Suppose -5*o = o - 444. Is 74 > o? False Let z be ((-1)/2)/((-1)/(-2)). Suppose p + 2*n + 2*n + 15 = 0, 50 = 5*p - 5*n. Suppose -2*d + p*d = 0. Is d less than or equal to z? False Let n be 1 - (1 + (-1 - 1)). Is 2 at most n? True Suppose 5*b + 55 = -5*r, 5*b + 4*r - 2*r = -40. Let j = -26 + 51/2. Is b < j? True Let g(l) = l**3 + 4*l**2 - 8*l - 6. Let x be g(-5). Let q = 53 - 80. Let k be (-24)/36*q/2. Is x greater than or equal to k? True Let z = -22 + 37. Let h be 35*(-1 - 3/z). Let x be (8/h)/((-6)/9). Which is smaller: x or 2? x Let g = 10 - 6. Let s = -3 + g. Is s bigger than -1/3? True Let z = -12 + 13. Is -3/8 equal to z? False Let j(m) = -10*m - 25. Let u be j(-3). Suppose 0 = -5*s - 12 + 2. Let h(w) = -w**3 - 2*w**2 - 4*w - 3. Let k be h(s). Is k at most u? True Let i be 2/4*(-8)/(-14). Let q = -1
{ "pile_set_name": "DM Mathematics" }
-21. Let x = 1 + u. Is x prime? True Suppose 2*t = -t - 9, -2*s + 2*t = -14. Is s a composite number? True Let f(n) = 14*n**3 + 3*n**2 - 4*n + 1. Is f(3) a prime number? False Let r = -16 - -24. Let w(y) = y**3 - 6*y**2 - 7*y - 6. Let j be w(r). Suppose 2*i - j = 4*f, 2*i + 4*f - 12 = 54. Is i a composite number? True Suppose 53*x - 267 = 50*x. Is x prime? True Let i be 54 + -3 + -1 + -2. Let t = i + -29. Is t prime? True Let i(k) = 12*k**2 - k + 13. Is i(4) prime? False Let k(h) be the second derivative of h**4/12 + 7*h**3/6 - h**2 - 3*h. Let g be k(-7). Is ((-30)/g - 2)*5 prime? False Let u(x) = -210*x + 1. Is u(-1) prime? True Suppose 0 = h - 4 - 0. Let q be 22/h*(4 + -2). Let l = 33 - q. Is l a prime number? False Let i(u) be the second derivative of u + 5/3*u**3 + 3/4*u**4 + 1/20*u**5 + 3/2*u**2 + 0. Is i(-7) composite? False Let l = -50 + 673. Is l composite? True Suppose -5*b + 483 = 4*q, q = -0*q + 3*b + 142. Is q prime? True Let u = 10 - 5. Suppose -u*z + 4 = -291. Is z prime? True Let o(a) = 7*a**2 - 25*a - 13. Is o(-14) prime? True Suppose -13788 = -3*g - 3*x, -9222 = -2*g + 4*x - 0*x. Is g a composite number? True Suppose 0 = -2*v + j - 624, j = 3*v - 3*j + 936. Let b = 67 - v. Is b prime? True Let t(w) = -3*w**3 + w**2 - 10*w - 1. Is t(-6) a composite number? False Suppose 3*n + 946 = 2905. Is n a prime number? True Let n be (-1)/(-6) + (-3)/18. Suppose -g + n*g + 3 = 0, v - 1 = g. Suppose 2*l = -5*a - 0*l + 339, -3*a + 209 = v*l. Is a prime? True Let m be 1 + 6/3 + -1. Is m/11 + 60357/121 a composite number? False Let f = -10 + 25. Suppose -i + f = -4*i. Let y(a) = a**3 + 4*a**2 - 6*a + 4. Is y(i) a composite number? True Let s = 409 - 27. Let v = s + -778. Let j = -239 - v. Is j a prime number? True Suppose 0 = 3*q + 12, -1396 = 3*i - 5*i + 4*q. Suppose -5*v = 5*a - i - 1390, -2*a - 4*v = -826. Is a prime? True Suppose -3*y = -0*q + 5*q - 494, -5*y - 5*q = -820. Is y a prime number? True Let o be 566/3 + 4/12. Suppose 3*f = -3*n + 207, -5*n = 2*f - o + 39. Is f a composite number? True Let a = 222 - 10. Suppose a = -3*i + 7*i. Is i a composite number? False Let j = -2 + 2. Suppose j = -3*p - 0*p + 609. Is p composite? True Let s = -86 + 53. Let m = 67 + s. Is m a prime number? False Suppose -5*k + 65 = -0*k. Is k a prime number? True Let i be (2 + 1)/((-12)/16). Let v(t) be the third derivative of t**5/30 - t**4/4 - t**3/6 + t**2. Is v(i) a composite number? True Suppose 5*s = -7*s + 30948. Is s a prime number? True Suppose 2*k - 3*t - 317 = 0, 2*t = -k - 2*t + 186. Let r = 423 - k. Is r prime? True Let o = -16 - -35. Is o a prime number? True Suppose 2*p + 0*p - 108 = 0. Suppose -t = -0 - p. Let q = -33 + t. Is q a composite number? True Suppose -3*b = -2498 - 685. Is b prime? True Suppose -392 = z + 2*l - 1715, -l - 3 = 0. Is z a composite number? True Suppose 178 = 3*j - 89. Is j a composite number? False Let i(q) = q**3 - 4*q**2 - 9*q + 3. Let v be i(6). Suppose -3*p = 2*g + v, 7*g - 2*g = -2*p - 47. Is ((-94)/3)/(6/g) prime? True Suppose -f + 48 = -131. Is f a prime number? True Suppose 0*i - i = -5. Suppose 3*p = h - 392, 5*h + 0*h - 2010 = i*p. Is h a composite number? True Let h = 30 + 10. Is h + -1 - 2/1 composite? False Suppose 0 = 4*z + 2*v - 62, -14 = z + 5*v - 52. Suppose 0 = -2*k + k - 3*w + z, 4*k - 5*w = 1. Let t(d) = 2*d**3 - 4*d**2 - d - 5. Is t(k) a composite number? True Suppose 2*c - 6 = -3*c + 4*h, 0 = -5*h + 5. Suppose 0 = 3*r + 2*r - 70. Suppose -j = -c*j + r. Is j a composite number? True Suppose 0 = -31*g + 26*g + 4795. Is g a prime number? False Let p be (-2 - -2) + 5/1. Suppose m = -5 - p. Let i = 31 + m. Is i a composite number? True Let w(d) = -6*d - 7. Suppose t + 4*t + 50 = 0. Let l be (5/t)/(2/28). Is w(l) composite? True Suppose 3*x - u - 27 = 2*u, -4*x + 35 = -5*u. Is (165/25)/(2/x) composite? True Suppose 0*d + 8 = 4*d. Let c(n) = -d*n + 0 - 3 + 2 + 5*n**2. Is c(2) composite? True Let x(b) = 11*b**3 + 5*b**2 + 11*b - 11. Is x(6) prime? False Suppose -2 + 0 = 2*x. Let t be 105*((0 - x) + 0). Suppose 6*z - 3*z = -4*r + t, 2*z + 4*r = 70. Is z a composite number? True Let t(z) = -z. Let u be t(-5). Let r = u + 0. Let w(p) = 2*p**3 + p**2 - 3*p + 3. Is w(r) a prime number? True Suppose 2*j = 3*j - 16. Let f be 100/j + 2/(-8). Suppose f*g - g - 95 = 0. Is g prime? True Let s be 16/(-4) + -1 + 95. Let b = 121 + s. Is b a prime number? True Let g = 4307 + -2926. Is g prime? True Let m(f) = -f**3 - 2*f**2 + f + 3. Suppose 0 = -x - 3*x - 12. Let s be m(x). Let g = 28 + s. Is g prime? True Let i(t) = 28*t**2 + 11*t + 2. Is i(7) a prime number? True Let f be (1 - 2) + -6 + 3. Let u = f + 15. Is u a composite number? False Suppose -128 = 4*p - 5*p. Suppose m + 51 - p = 0. Is m a prime number? False Let p(b) = -18*b + 15. Is p(-4) composite? True Suppose 2*s - 18 = -s. Is (5 - 3)*21/s a composite number? False Suppose -2*y + 4 - 20 = -3*o, 4*y = 2*o - 8. Let t be (3/o)/((-3)/708). Is t/(-6) - 4/6 prime? True Suppose 0 = 5*f - 3*m + 5*m - 23, 0 = -2*m - 2. Suppose f*z = -a - 0*a - 103, 5*a + 53 = -3*z. Let v = z - -56. Is v composite? True Let n(x) = x**3 + 19*x**2 + 7*x - 1. Is n(-12) prime? False Let g(h) = 34*h**2 + 5*h + 2. Is g(-3) composite? False Is (-21 - -19) + (0 - -129) prime? True Let w(s) = 187*s - 2. Is w(1) composite? True Suppose 421 = 3*z - 6*a + 2*a, 282 = 2*z - 2*a. Is z a prime number? False Suppose -2*w = -7*w + 4565. Is w composite? True Suppose 54 = -2*t + 10. Let q(h) = -6*h - 4. Let f be q(1). Is t/2*(f - -5) composite? True Let b(u) = u**2 - 7*u + 4. Let p be b(5). Let c be (2/3)/((-2)/p). Suppose 5 + 9 = c*n. Is n composite? False Suppose 4*d + d - 3*y - 4 = 0, -2*d + 7 = -3*y. Let l be 0/(3 + 0)*d. Suppose 5*r - 445 = -3*s + 505, l = -4*r - 4*s + 768. Is r a composite number? True Let k(l) = 24*l**2 + 1. Let t be k(-1). Let h = -11 + t. Is h a prime number? False Let l = -6 - -15. Suppose 3*b = 4*n - l*n + 287, 0 = -b - 3*n + 97. Is b composite? True Suppose -4*v + 12 = -0*v. Suppose 44 = v*y + y. Is y composite? False Suppose 5*q = 8*d - 3*d - 10, -5*q = 5*d - 50. Let v be (d - 3) + -2 + -1. Suppose -3*c = -v*c - 381. Is c composite? False Suppose 4*o + 2 + 6 = 0. Let x = o - -4. Suppose -x*w + 2*r - 148 = -6*w, 4*w = 2*r + 132. Is w a prime number? False Let t be (-3 + -1)*3/12. Is (2706/18)/(t/(-3)) a composite number? True Suppose -1849 = -3*r - 160. Is r composite? False Let f = 223 + 264. Is f prime? True Is (-2)/8 - (13546/8)/(-1) a prime number? True Let g(z) = 83*z + 15. Let h(m) = 41*m + 8. Let u(y) = 6*g(y) - 13*h(y). Let q(x) = -12*x - 5. Let a(v) = -17*q(v) + 6*u(v). Is a(-3) prime? True Let m(q) = q - 5. Let g be m(5). Suppose g = -3*b + 536 - 59. Is b prime? False Suppose 6*m = 4*m + 6. Is 1/(m + 224/(-76)) a composite number? False Let d = -1877 - -2960. Suppose 2*i = -i + d. Is i a prime number? False Let a(v) = 6*v**2 - 6*v + 5. Let i be a(4). Suppose -2*z = -2 - 18. Suppose -r + z = r, 4*y - 3*r = i. Is y a prime number? True Suppose 155*f - 1895 = 150*f. Is f a composite number? False Is (4406/(-14))/((-5)/35) prime? True Let m(s) = 38*s**2 + 5*s - 5. Is m(2) prime? True Let x(m) = -5*m + 1. Let p be x(-5). Let b = 37 - p. Is b prime? True Suppose -l + s = -61, -5*l = -s - 186 - 131. Suppose 4*j = -3*g + 221, -2*g + l - 323 = -5*j. Is j composite? False Let g(o) = o**3 + 5*o**2 - o - 4. Let u(t) = -t**3 - t**2 + 1. Let m(h) = g(h) + 3*u(h). Is m(-2) a prime number? False Let p(q) = -q**2 - 7*q. Let o be p(-3). Suppose 5*i - a - o = 14, 0 = 2*i + 3*a - 7. Suppose 99 = -2*f + i*f. Is f composite? True Let w be (-6)/9*282/4. Let a = 86 + w. Is a composite? True Suppose 5*v + 4 - 14 = 0. Suppose 0 = v*w + w - 483. Is w composite? True Let x = 98 + -21. Is x composite? True Suppose 2*f + 6 = -y, 5*f + 15 = 2*y + y. Let r be (-1 + -2)/(3/f). Let w = 6 - r. Is w composite? False Let x be (-88 + -1)*(-1)/1. Suppose 4*k = -i - x, 5*i + 3*k = 7*k - 373. Let d = i - -114. Is d a composite number? False Suppose 5*j + 2*r - 24 - 11 = 0, -4*j + 61 = -5*r. Let k = j - -4. Is k a composite number? False Is ((-2)/6)/(20818/10410 - 2) prime? False Let v = -20 - -43. Is v a composite number? False Suppose -6 = 5*c + 2*v, 0*v - 6 = -2*c + 2*v. Suppose c = -k - 0*k + 2. Suppo
{ "pile_set_name": "DM Mathematics" }
ond smallest value in i, -0.5, 1? 1 Let s be 2466/8 + (-1)/4. Suppose -5*r = -4*r - 2*w - 10, 5*w + 16 = -2*r. Let t be r/7 + (-32)/s. Which is the third smallest value? (a) 2/9 (b) t (c) 2 c Let q = 0.4 + 0. What is the third smallest value in 5, q, 2/3? 5 Let y = 0.02 + 0.38. Let l = -0.11 + -0.29. What is the biggest value in l, 2, y? 2 Let p be 25/45 + 1 - 2. Which is the third smallest value? (a) 3 (b) 0 (c) p a Let n = 36 + -38. Let k = -1.5 + 1. Which is the third biggest value? (a) n (b) k (c) -4 c Let l = -18 + 18.07. Let k = l - 0.47. Let h = k - -1.4. Which is the third smallest value? (a) h (b) -4 (c) 5 c Let z = 0.18 + 0.02. What is the second biggest value in 1/8, -1, z? 1/8 Suppose 9*n = -3*n - 24. Which is the second biggest value? (a) n (b) -1/3 (c) 4/3 b Suppose 0 = -3*h + 3*t + 27, -5*h - 3*t + 20 = -1. Let f be (-2)/h + (-65)/(-60). What is the third smallest value in 2/5, 0, f? f Let g = -4/153 - -122/765. Let j = 4 - 9.4. Let v = -5 - j. What is the second smallest value in v, -1/9, g? g Let m = -7 - -2. Let j = -424/5 + 85. Which is the second smallest value? (a) -7 (b) m (c) j b Let y = 56 + -37. What is the biggest value in -2/23, -5, y? y Let t = -18 + 17.89. Let d = 0.01 + t. What is the smallest value in d, -1/4, -4? -4 Let n be 2*1*(-11)/154. Which is the second biggest value? (a) 4 (b) 5/2 (c) n b Let r = -5 + 5.3. Let x = r + -1.1. Let y = x - -1. Which is the third biggest value? (a) y (b) 5/2 (c) -1/2 c Let g = 1.4 - -1.6. What is the third smallest value in 0.1, 1/6, g? g Suppose 2*u = -3*u + 5. Let j be (-12)/(-6) - (4 + u). Which is the second biggest value? (a) j (b) -5 (c) 0.3 a Let g = -307 + 1546/5. Let r = g - 2. Which is the third smallest value? (a) r (b) -5 (c) -0.1 a Let q = 1 + 0. Let l = 0 + -3. Let i = -3.96 - 0.04. Which is the second smallest value? (a) q (b) l (c) i b Let d = 0 - -0.1. Let c = d + -0.1. What is the biggest value in -4, c, -5? c Let b = -153 + 1681/11. Let z = 0.5 - -0.5. What is the smallest value in z, b, -2/7? -2/7 Let x = 0 - 2. Suppose 4*u + 15 = u, 5*q - 2*u + 5 = 0. Let t be q/(9/(-15))*-1. What is the third smallest value in 4, t, x? 4 Let b = 0.8 + 0.2. Let z = 5.9 - 6.5. Let n = z + b. What is the third biggest value in 2/19, 2, n? 2/19 Let d = -9/5 - -32/15. Which is the third biggest value? (a) d (b) 0.2 (c) -0.4 c Let f be 7/3 - 2/6. Let n = -1 - -7. Let m = 4 - n. Which is the biggest value? (a) f (b) 3 (c) m b Let z(w) = -w - 2. Let u be z(-7). Suppose 2*v - 12 = u*s + 1, -2*v - 17 = 5*s. Which is the third biggest value? (a) -1/2 (b) s (c) 1 b Let n be (-2 + 3)*9 + -5. Let h(v) = v**2 - v. Let w be h(0). Which is the biggest value? (a) n (b) w (c) 1/3 a Let x = 16 - 15.5. What is the third smallest value in -5, x, 0? x Let b = 7.6 - 8. What is the biggest value in b, 1, 1/6? 1 Let v(g) = g**3 + 6*g**2 + 6*g - 4. Let h be v(-4). Which is the biggest value? (a) h (b) -2 (c) 0 a Let v = 0 - -2. Let m = v + -2.3. Let p = 3/19 - 37/114. Which is the second smallest value? (a) p (b) -3/2 (c) m c Let f = -53 - -157/3. What is the second smallest value in -2, -0.3, f, -5/4? -5/4 Let s(f) = -2*f**2 - 7*f + 1. Let t be s(-4). Which is the smallest value? (a) t (b) 4 (c) 1 a Let y = -14/3 - -65/12. What is the third smallest value in 0.3, -4, y? y Let v = -6 - -3. Let d(x) = 4*x**2. Let r be d(1). Suppose 0*m = -r*m - 16. Which is the biggest value? (a) v (b) m (c) 4 c Let u = 79 + -100. What is the smallest value in 4, -2/7, u? u Let h = 111713/5 - 22264. Let k = -79 + h. Which is the third smallest value? (a) k (b) -5/2 (c) -0.2 c Let u(h) = 2*h - 3. Let c be u(2). Suppose z - c = 3. Suppose -6*g = -z*g - 4. What is the third biggest value in -2, -1/9, g? -2 Suppose 0 = 5*g + w - 102, 3*g - 85 + 25 = -w. Suppose 4*n = x + g, 7*x = -5*n + 3*x. Which is the second biggest value? (a) -5 (b) -1/6 (c) n b Let j = 26 - 21. What is the fourth smallest value in -5, 1/6, j, 1/4? j Suppose 8 + 0 = 4*t. Let j = 2.7 - -0.3. Let q = 0 + -2. Which is the third biggest value? (a) t (b) j (c) q c Let l be 25/(-55)*-8 + -4. Which is the smallest value? (a) l (b) 2/3 (c) -0.4 c Let u = 4 + -3.9. Let n = 5.18 + -0.18. Which is the second smallest value? (a) u (b) n (c) -3 a Let w = -6 + 6.04. Let r = w + 0.16. Which is the biggest value? (a) 4 (b) -1/2 (c) r a Let w = -1.99 - 0.01. Let z be 114/(-22) + 6/33. Which is the smallest value? (a) -1/3 (b) w (c) z c Suppose -r - 15 = -0*o - 4*o, r = -4*o + 9. Suppose v + o*v + 16 = 0. Which is the smallest value? (a) -0.3 (b) -0.2 (c) v c Let h be 3/10*(-3 + -1). Let d = 0.01 - 1.01. Which is the smallest value? (a) -1/4 (b) d (c) h c Let i = 1.2 - -2.8. What is the third smallest value in 1, -3, i? i Let j = 18.2 - 18. Let g = -6 - -8. Let w = 0 + g. Which is the third biggest value? (a) 1 (b) j (c) w b Let r = -7 - -3. Let x = r - -2. Let h = -3 - x. What is the smallest value in h, 3, 4? h Let n = -0.64 - -0.44. Which is the fourth biggest value? (a) n (b) -0.5 (c) -2/9 (d) 5 b Let u = -0.116 + -0.884. Let n = 1 + -4. Which is the biggest value? (a) u (b) n (c) 0 c Let m = -1840164/35 + 52587. Let d = m + -53/5. What is the second smallest value in -0.3, d, -3? -0.3 Let g = -9 + 6. Let i = -759/7 - -108. What is the third smallest value in i, g, -5? i Let s = -0.046 + 0.006. What is the fourth biggest value in s, 2/15, -1/2, -1? -1 Let r = 4 - 7. Let z = -5.3 - -0.3. Which is the third smallest value? (a) r (b) 1 (c) z b Let o = -3.1 - -6.1. Which is the third smallest value? (a) o (b) 1 (c) -2/3 (d) -3 b Let s = 203.5 + -204. Which is the smallest value? (a) 0.14 (b) s (c) -5 (d) -0.4 c Let k(l) = l**2 - 7*l + 6. Let n be k(5). Suppose -4*h - t - 3*t = 0, t + 18 = 5*h. Suppose 0 = h*g + 12 - 3. What is the second biggest value in n, g, -2/11? g Let d = -21/2 + 10. Let z be 23*-44*1/18. Let j = -56 - z. What is the smallest value in -4/7, d, j? -4/7 Let i = -0.04 - -0.04. Let u be 7 - (-2 - (-6)/2). Let p be 3/u + 6/(-28). What is the smallest value in i, 1/9, p? i Let r = -12 + 7. Let t be (-17)/(-5) - 6/2. Which is the third biggest value? (a) t (b) 3 (c) r c Let p = -20 - -20.2. Let i = 17 - 18. What is the second biggest value in -4, i, p? i Let o = -2.6 + 0.6. Let t be 0 + (4 - (3 + -1)). Let j be 3/((-11)/t + -2). Which is the third biggest value? (a) 4 (b) o (c) j b Let o = -62.5 + 62. What is the smallest value in -3, 4, 5, o? -3 Let d = 4 - 8. Let t be ((-2)/(-36))/(d/(-16)). What is the smallest value in -3/4, t, -1? -1 Suppose 27 = -12*z - 237. Which is the smallest value? (a) 3 (b) z (c) -4 b Let m = -0.7 + -6.3. Let b = 3 + m. Let u = 1.1 + -1.3. What is the second smallest value in -5, u, b? b Let b = 55 - 52. What is the smallest value in -0.1, b, 1, -2/15? -2/15 Let m = -6.14 - -6.1. What is the biggest value in 3, 2, m, -3? 3 Let n be (-18)/(-3) - 2/(-2). Suppose -u + 13 = 3*y, 3*y = -0*u - 4*u + n. Which is the second biggest value? (a) 0.1 (b) -1/3 (c) y a Let z = 0.082 + 3.818. Let x = 0.1 + z. Which is the third biggest value? (a) -3 (b) x (c) 2/5 a Let h = -20 - -21.9. Let c = h + 0.1. Let p = -2.2 + c. What is the biggest value in 1/2, p, -4? 1/2 Let m be -2 + 2 - 0 - 128/(-112). What is the smallest value in m, -2, -0.5? -2 Suppose x + 0 + 2 = 0. Let j = 3.1 - 2.9. Which is the third biggest value? (a) j (b) x (c) 1/4 b Let j(z) = 0*z**2 + 0*z**2 + 4 + 3*z**2 - 2*z - 5*z**2. Let v be j(-3). Let p be (1 + 0)*(3 + v). What is the third biggest value in 2/13, p, 0.2? p Let h = -7 - -11. Let o = h + 1. Let t = o + -5.3. What is the third biggest value in 1/2, t, -5? -5 Let t be (42/28 + (-23)/18)/2. What is the second biggest value in 0.4, -1/5, -5, t? t Let q = 1307/2275 - 1/325. What is the third smallest value in q, 2/11, -2/11? q Suppose -5*f - 45 = -2*q - 20, -11 = -q + 2*f. Let b = -0.7 + 19.2. Let x = b - 19. What is the biggest value in q, 0, x? q Suppose -2*u = -7*u + 15. Let l = 15 - 17. What is the second smallest value in l, u, -0.1? -0.1 Let q = 27.7 - 28. Let s = 0.04 + 7.96. Let g = s + -7.7. Which is the biggest value? (a) q (b) -1 (c) g c Let u = -0.9 + 0.5. Let f = -0.043 + 0.4
{ "pile_set_name": "DM Mathematics" }
= 2*a for j. 5 Solve 30*b + 20 = 34*b - 4*z, -6*b + 5*b + 4*b = 5*z + 23 for b. 1 Solve 3*t - 9 = -11*r + 2, 2*r = -13*t + 8*t + 100 for t. 22 Solve 831*s + 3*j = 415*s + 413*s - 159, -244 = 26*s + 5*j for s. 1 Solve l - 8*s + 410 = -21*l, l + s - 4*s + 5*s - 83 = 0 for l. -3 Solve 3334*w - 64 = 3378*w + 4*p, -8 = w + p - 2*p for w. -2 Solve -m - 24 = 6*m - 4*m + 3*q, 0 = -4*m + 3*q + 1 - 12 for m. -5 Solve 3*x + 5*k = -20, -25*x + 22*x - 25 - 11 = 9*k for x. 0 Solve 0 = 53*r - 1184217*v + 1184222*v - 1194, -4*v + 49 = 3*r for r. 23 Solve -2627 = -5*g + 5*r - 2507, -125 = -6*g + 5*r for g. 5 Solve -15 = -3*o - 10*j, -4*o + 131301*j - 14 = 131303*j for o. -5 Solve -379*p + 379*p + 10 = -2*f, -f - 190 = -p - 4*p for p. 37 Solve -6*h = -5*p - 7*h + 57, -9*p - 7*h = -2*h - 109 for p. 11 Solve 0*i - i + 3*s = 241, 3*s - 8987 = 2*i - 8748 for i. 2 Solve -276913 + 276963 = 5*b + h, 4*h - 65 = -5*b for b. 9 Solve 16*a + 20*i + 288 = -12*i, 67 + 1 - 96 = 4*a + 4*i for a. 4 Solve -4*a + 815*h - 816*h + 5 = 0, -2 = 3*a - 5*h for a. 1 Solve -8736*i - 17 = -8737*i + 5*t, -4*i - 8*t - 28 = -4*t for i. -3 Solve 29*g - 26*g = 12*g - 4*r + 37, -5*g - 3*r + 63 = 0 for g. 3 Solve -3*g + 62 = 2*z, -51505*g = -4*z - 51510*g + 100 for z. -5 Solve -b + 2*b - 4 = 1, 12*b - 106 = y + b - 6*b for y. -21 Solve 1 = -116*d + 112*d + 9*r, 4*r - 22 = -9*d for d. 2 Solve -7*m + 5*c + 15 = 33, -4*c = -3*m - 4 for m. -4 Solve -5*w - 2*g - 25 = -g + 6*g - 8*g, -w + 42 = g + 47 for w. -5 Solve 5*f - 5*f = -f - a - 27, 7*a = 3*f + 121 for f. -31 Solve -12*u - f = -195, 5*u + 3501*f - 131 = 3484*f for u. 16 Solve 5*l = 3*v + 3, 4*l + 605 = 24*v - 22*v + 607 for l. 0 Solve 3*h - 6 = -3*q, 5117*q - 5115*q = 2*h + 24 for h. -5 Solve 705 + 817 = -87*n + 3*g - 3179, 16*n - 5*g = 14*n - 113 for n. -54 Solve 43*o - 2*o = -d + 1848, 9*o - 8*d = 6*o + 2*d + 105 for o. 45 Solve 25 = -3*q - 1133*t + 1135*t, -2*t + 3 = 5*q + 2 for q. -3 Solve -3*k = d + 78, 130201*k - 130195*k - 6*d + 156 = 0 for k. -26 Solve 19*m + 8*t = 11*t - 335, 15*t - 28 + 19 = -3*m for m. -17 Solve -w + a = 13, 7*w - 1384283*a + 1384290*a = -49 for w. -10 Solve 3*g + 9*u + 0*u - u + 84 = -2*u, -102*g = -118*g - 5*u - 13 for g. 2 Solve -152686*p + 152688*p + 50 = 5*c, 3*p = -5*c + 75 for p. 5 Solve 2*y = 2*i + 2*i, 27*i + 21*i - 2 - 6 = 46*i for y. 8 Solve 0 = 3*p + 6*l + 10*l - 521, -5*p + 24*l + 6*l - 32*l = -79 for p. 3 Solve 20*o = -3*g + 116, -8*o - 6*o - 2*g = -19*o + 51 for o. 7 Solve -5*i - 20 = -108300*y + 108298*y, 4*y + 3*i = -38 for y. -5 Solve 0 = 5*t + 35, 5 + 8 = -288*a + 293*a - 4*t for a. -3 Solve -6226 = -3*s + 13*n - 6249, 3*s - 7 = -n - n for s. 1 Solve 0 = 5*a - 4*f - 39, 2*a = -4*f - 1979 + 1961 for a. 3 Solve -b + 4351*f - 1 = 4349*f, -3*b = -5*f + 2 for b. 1 Solve -3*v + 39 = -5*l + 158, -2*l + 19*l - 2*v + 16 = 12*l + 6*l for l. 22 Solve -5*o + 3*l = -2*o, 5*o - 43*l - 49*l + 21*l + 330 = 0 for o. 5 Solve 0 = 5*g + 11414*h - 11415*h - 25, 10 = 2*g + 4*h for g. 5 Solve -110*z + 8*p = 12*p, -z + 5*z + 0*p - 4*p = 2*z for z. 0 Solve -80*q - 94 = 4*i + 802, 3*i + 6 - 27 = 3*q for q. -11 Solve -4*t - 79 = 27*a + 30*a - 20*a, -a = -5*t + 43 for a. -3 Solve -5*p - 15 = 6*y, y - 73149 = -2*p - 73148 for y. -5 Solve -1 - 18 = 3*p + 2*g + 18 + 1, 5*g = 6*p - 122 for p. 2 Solve -2*z = -s - 60, 34*s - 33*s = -2 for z. 29 Solve -3*l - 2*m + 25 = 0, l + m + 38340 = 38348 for l. 9 Solve -3*j - 4*j - 18 = q, 2*q - 15*q = 3*q + 3*j + 70 for q. -4 Solve 3*q - 7372*f = -7392*f + 42, q - 6 = -4*f for q. -6 Solve -4*c - 30*y = 360, 3*y - 1 + 11 = -26 for c. 0 Solve -3*u = -5*g + 106, -1763*g + 1772*g = -2*u + 176 for g. 20 Solve 0 = -497568*j + 497570*j - w - 13, -2*j - 5*w = 5 for j. 5 Solve -163947*m - 15 = -163945*m + 5*l, -8*m = -3*l + 37 for m. -5 Solve -24*j + 298 = 5*m, 3*m - 1489 + 755 = 4*j - 776 for j. 12 Solve -943*d + 946*d = q + 57 - 7, 14*q = 5*d - 589 for q. -41 Solve -3*s - 62143 = -y - 62148, -4*s - 18*y = 148 for s. -1 Solve 5*o - 5*a = -0*a - 0*a - 45, 0 = 4*o + 1600*a - 1603*a + 36 for o. -9 Solve -4*g + 2*v = 3*v - 95, 41*g + 21*v - 5 = 19*g + 20*g - 60 for g. 25 Solve -136 = -4*i - 5*i + 12*i + q, 0*q = 5*i - 2*q + 223 for i. -45 Solve 2*n + 38 = 5*b, 0 = -699531*b + 699528*b - n + 14 for b. 6 Solve 0 = 5*x - 3*j + 51, -512*j = 16*x - 513*j + 146 for x. -9 Solve -5*q - 115 = 2*f, -3*f = -3*q + 5481 - 5550 for f. 0 Solve -355*d - 8 = -350*d + 3*o, 5*d + o = 4*d for d. -4 Solve -3*v + 5*u = 90, -6*u = -51*v + 34*v - 8*u - 601 for v. -35 Solve 2*y + 6130*v = 3062*v + 3066*v - 110, -4*y - 3*v - 169 = 0 for y. -4 Solve 1 = 5*j + n, -805*j + 801*j - 5*n = 1 - 6 for j. 0 Solve 3*u + 42201 = 3*a + 42234, 4*a - 2*u + 38 = 0 for a. -8 Solve -s + 661*v - 668*v = 64, -3*s - v = 92 for s. -29 Solve 152*w - 151*w - 3 - 7 = -4*m, 45*m - 4*w - 38 = 44 for m. 2 Solve 5*k + 8*l + 419 = 0, -5*k - 350*l + 348*l - 9 = 92 for k. 1 Solve 1 - 5 = 5*k - 2*i + 5*i, 48 = 34*k - 26*k - 2*i for k. 4 Solve -168*a + 164*a + 5 = t, 8*a = t - 29 for a. -2 Solve -1031*j + 9*w - 69 = -1028*j, 5*w = -2*j + 31 for j. -2 Solve -z + 7 = -3*v - 29, -4771*z = 4*v - 4789*z + 498 for v. -3 Solve 3*b + 2701*q + 22 = 2702*q, 3*q = 39 for b. -3 Solve -6*n + 5*z - 10 + 11 - 74 = n, n = -3*z - 3 for n. -9 Solve 55*q = -3*g + 284, 10286*q - 3*g = 10288*q - 19 for q. 5 Solve -2*t + 156 = 5*a, 1147*a - 1147*a = -2*t + 6 for a. 30 Solve -5*v - 18 - 32 = -35*k, 3*k + 6 = -5*v + 32 for k. 2 Solve -6*n = -0*n - 6*a + 318, -121*n + 122*n = -a + 51 for n. -1 Solve -13*l - 26*l + 6 + 16 = -41*l + 2*s, 5*s - 64 = -4*l for l. 1 Solve -8*t + 4*t + 781*p + 8 = 785*p, 7*t - 2*p - 41 = 0 for t. 5 Solve -3*r - 4 = -2213*m + 2214*m, 3*m = 2*r - 3*r + 4*r + 24 for m. 5 Solve -50 - 5 = -v - 3*l, -3*l - 41936 = 3*v - 41981 for v. -5 Solve h + 28 = -3*f + 60, -8*h + 298 = 3*f for h. 38 Solve 0 = 5*d + 2242*y - 2238*y + 60, -3*d - 68 = -4*y for d. -16 Solve 0 = 308*k - 309*k + 5*d + 42, -5*d = 26*k - 417 for k. 17 Solve 5*t - 55 = -10*u, 5*t - 27*u = 2*t - 29*u + 21 for t. 5 Solve 271 = -3*u - 11*s - 317, 3*u + 1052 - 786 = u - 5*s for u. 2 Solve 5*o - 4*z + 63 = 0, 2062*o - 5*z + 57 = 2063*o for o. -3 Solve -61587*l + 44*a + 618 = -61585*l, 0 = 3*l + a + 11 for l. 1 Solve 5*q - 8*n - 108 - 78 = 0, -137*q + 140*n = 138*n - 318 for q. 2 Solve 0 = 7*o - 566*h + 574*h + 24, -7*o - 60 = -h for o. -8 Solve 4*l = -4*q - 0*l - 48, 92*q + 2*l - 74 + 112 = 97*q for q. 2 Solve -s + 39 = 4*g, 2*s - 206 + 60 + 18 + 55 = -3*g for g. 1 Solve 391*c - 44 = 5*j + 389*c, 22*j = c - 61 for j. -2 Solve -4*k - 32 = 3*p, 0*p + 2316*k + 182 = -3*p + 2282*k for p. -4 Solve 0 = -9*w + 2*f + 175, -7*w - 5*f + 9 = -4*w - 2*w for w. 19 Solve -2*y - 31 = y + 12*y + 2*h, -4*y + 3*y = -97*h + 163 + 519 for y. -3 Solve -7*b + 28982*n - 28979*n = 4, -5*b = -8*b - n + 12 for b. 2 Solve 9 = 4*o - 2*o + u, 0*o + 6*u = -7*o + 3*u + 22 for o. -5 Solve -2*i = 9*y + 10, -2*y - 3*y + 4259 = -5*i + 2*y + 4234 for i. -5 Solve -2*h - 3*l + 4*l = 5, -4115*h + 32 = -4120*h + 4*l for h. 4 Solve -3*s + 647*z - 652*z + 50 = 0, -5*z = 491*s - 4930 for s. 10 Solve 587 = -4*b - 11*j + 134, -5*j + 4 - 209 = 2*b for b. 5 Solve n + 3*l + 1713 - 1688 = 0, 6*n + 4*l + 24 = 0 for n. 2 Solve x + u - 33 + 18 = 3*u, 3*x - 91 + 366 = -26*u for x. -5 Solve -3*t = -2*j - 465041 + 465094, -5*t - 3*j + 89 = 0 for t. 1 Solve -10*x + 11827*w + 15 = 11826*w, -9*w + 31 = 3*x - 4*w for x. 2 Solve -12*k + 598 + 14 = 0, 46*m - 42*m + 193 - 56 = 3*k for m. 4 Solve -14*d + 9 = -z + 62, 4*z - 91 - 7 = -d for d. -2 Solve 3*u - 56 = -7*j - 4*j, -8*j + 2*u + 67 = 89 for j. 1 Solve -6*u + 46*t + 112 = 42*t, -19*u + 86 = -14*u - 3*t for u. 4 Solve -b + 21 = 3*t, 14*b = -13*b + 25*b + 2*t + 82 for b. 36 Solve 8 = -3*s + 7*c, -39*s - 3*c = -34*s + 14 + 58 for s. -12 Solve 386*u - 192*u + 16*d = 197*u - 14, 5*d = u - 5 for u. 10 Solve -53 = -80*j + 75*j + o, -93*o = -j + 3073 for j. 4 Solve 14*y - 3*b = 6*y - 112, -2*y + 0*y - 346 = -14*b for y. -5 Solve 5*z + 14*g - 94 = 0, 2*z + 47*g - 82*g = -36*g + 56 for z. 30 Solve -6*r + 17*r + 227 = 14*s + 14*r, -5*r + 9 - 4 = 0 for s. 16 Solve 5*l - 8*i + 108670 = 108672, 4*l - 4*i - 4 = 0 for l. 2 Solve -4*b + 0 + 13 = s - 16, 0 = 3*b - 10*s + 5*s + 99 for b. 2 Solve 2*m = -2*r + 72, -1547 + 1799
{ "pile_set_name": "DM Mathematics" }
True Is 6 a factor of 675? False Does 260 divide 4057? False Is 1286 a multiple of 33? False Does 16 divide 196? False Is 256 a factor of 5632? True Is 54 a multiple of 27? True Is 699 a multiple of 12? False Is 2 a factor of 985? False Does 9 divide 153? True Does 10 divide 499? False Does 38 divide 15355? False Does 5 divide 5152? False Does 7 divide 241? False Does 116 divide 1972? True Is 41 a factor of 990? False Is 13115 a multiple of 135? False Is 11242 a multiple of 11? True Is 250 a multiple of 4? False Does 17 divide 71868? False Does 74 divide 1110? True Is 44 a factor of 13684? True Is 15 a factor of 6507? False Does 6 divide 36? True Is 19 a factor of 380? True Does 68 divide 22372? True Is 5 a factor of 3800? True Is 155 a factor of 1860? True Is 1260 a multiple of 63? True Is 84 a multiple of 14? True Is 4 a factor of 212? True Is 1243 a multiple of 22? False Is 28 a factor of 560? True Is 19 a factor of 155? False Is 26 a factor of 7384? True Is 228 a multiple of 12? True Is 1260 a multiple of 90? True Is 651 a multiple of 93? True Does 7 divide 38867? False Does 11 divide 308? True Does 45 divide 4230? True Is 12137 a multiple of 24? False Is 138 a factor of 50508? True Does 148 divide 66922? False Is 4902 a multiple of 114? True Is 15 a factor of 1125? True Is 80 a multiple of 20? True Does 225 divide 76500? True Is 784 a multiple of 16? True Is 553 a multiple of 15? False Is 15 a factor of 453? False Does 40 divide 125? False Is 7630 a multiple of 19? False Is 220 a multiple of 16? False Is 30933 a multiple of 22? False Is 2925 a multiple of 5? True Does 41 divide 39928? False Does 55 divide 14487? False Is 385 a multiple of 5? True Does 18 divide 1923? False Is 20 a factor of 17392? False Does 18 divide 288? True Is 25 a factor of 6850? True Does 11 divide 1243? True Is 210 a multiple of 69? False Does 2 divide 1677? False Is 840 a multiple of 70? True Is 236 a multiple of 6? False Does 12 divide 44283? False Is 465 a multiple of 39? False Is 626 a multiple of 12? False Is 432 even? True Is 577 a multiple of 7? False Does 15 divide 720? True Is 12780 a multiple of 4? True Is 10115 a multiple of 79? False Is 19 a factor of 424? False Is 3096 a multiple of 7? False Is 42408 a multiple of 31? True Is 16 a factor of 566? False Is 17168 a multiple of 201? False Is 2607 a multiple of 45? False Is 361 a multiple of 19? True Does 5 divide 697? False Does 130 divide 2129? False Is 90942 a multiple of 138? True Is 1167 a multiple of 57? False Is 213 a factor of 14965? False Is 13 a factor of 1365? True Is 55 a multiple of 2? False Is 624 a multiple of 39? True Is 20 a factor of 440? True Is 2240 a multiple of 40? True Does 19 divide 2945? True Is 347 a factor of 43821? False Is 23 a factor of 2254? True Is 16 a factor of 972? False Is 3960 a multiple of 11? True Is 93 a factor of 51908? False Is 26342 a multiple of 221? False Does 34 divide 454? False Does 53 divide 1042? False Is 5337 a multiple of 9? True Is 80 a multiple of 3? False Is 12571 a multiple of 9? False Does 12 divide 60? True Does 8 divide 1624? True Is 22 a multiple of 2? True Is 145 a multiple of 29? True Is 67 a factor of 42191? False Is 14 a factor of 13880? False Is 624 a multiple of 9? False Does 36 divide 729? False Is 74 a factor of 21924? False Does 21 divide 1722? True Is 8450 a multiple of 65? True Is 8 a factor of 944? True Is 11 a factor of 348? False Is 13 a factor of 148? False Is 2184 a multiple of 52? True Is 58 a factor of 1392? True Does 21 divide 14826? True Is 27 a factor of 748? False Does 20 divide 1634? False Does 84 divide 5051? False Is 1516 a multiple of 15? False Is 103 a multiple of 51? False Is 48 a factor of 192? True Is 9 a factor of 6564? False Is 56 a factor of 17920? True Does 29 divide 2697? True Does 23 divide 1334? True Is 225 a factor of 14056? False Is 30 a factor of 10042? False Is 42 a factor of 798? True Does 3 divide 33409? False Does 2 divide 1041? False Does 19 divide 4351? True Does 19 divide 122? False Is 8 a factor of 688? True Is 858 a multiple of 13? True Does 60 divide 14490? False Does 31 divide 2883? True Is 1815 a multiple of 11? True Is 1584 a multiple of 36? True Is 828 a multiple of 4? True Is 6008 a multiple of 8? True Is 820 a multiple of 42? False Is 100 a factor of 5444? False Does 23 divide 286? False Is 38956 a multiple of 235? False Is 2 a factor of 25? False Does 2 divide 42? True Does 158 divide 798? False Does 30 divide 1117? False Is 10 a factor of 134? False Does 11 divide 333? False Is 401 a factor of 47318? True Is 33 a factor of 27456? True Does 14 divide 28952? True Does 54 divide 8694? True Does 16 divide 1549? False Is 540 a multiple of 25? False Is 59 a factor of 944? True Does 33 divide 4191? True Is 195 a multiple of 13? True Is 12 a factor of 1096? False Does 11 divide 85? False Is 7955 a multiple of 167? False Is 3233 a multiple of 61? True Does 59 divide 1016? False Is 1792 a multiple of 64? True Is 5875 a multiple of 25? True Does 58 divide 28976? False Does 17 divide 1411? True Is 127 a factor of 12573? True Is 24024 a multiple of 44? True Does 12 divide 6676? False Is 8460 a multiple of 13? False Is 624 a multiple of 78? True Is 1350 a multiple of 27? True Is 13 a factor of 26494? True Does 17 divide 1292? True Is 34 a factor of 105? False Is 2260 a multiple of 23? False Does 30 divide 16800? True Is 27 a factor of 3834? True Does 10 divide 10540? True Is 2175 a multiple of 79? False Is 63 a factor of 630? True Is 2772 a multiple of 20? False Does 99 divide 198? True Is 11448 a multiple of 27? True Is 17 a factor of 24701? True Is 23 a factor of 1426? True Is 310 a multiple of 10? True Is 20 a factor of 9920? True Does 5 divide 2032? False Is 3484 a multiple of 3? False Is 19448 a multiple of 143? True Is 611 a multiple of 47? True Is 8 a factor of 5776? True Does 57 divide 912? True Is 85 a factor of 25415? True Does 56 divide 22074? False Is 33909 a multiple of 89? True Does 11 divide 410? False Is 170 a multiple of 7? False Is 71 a factor of 25813? False Does 54 divide 15199? False Does 16 divide 544? True Does 95 divide 517? False Does 37 divide 111? True Does 73 divide 1773? False Does 23 divide 529? True Is 98 a multiple of 17? False Is 15349 a multiple of 44? False Is 2160 a multiple of 16? True Does 30 divide 763? False Is 56291 a multiple of 12? False Does 15 divide 5981? False Does 10 divide 360? True Is 235 a multiple of 5? True Is 55 a factor of 310? False Is 14 a factor of 17981? False Is 30 a factor of 67? False Is 1188 a multiple of 108? True Is 16 a factor of 16? True Is 80319 a multiple of 155? False Is 7473 a multiple of 20? False Does 19 divide 72030? False Does 11 divide 90? False Is 512 a multiple of 64? True Is 852 a multiple of 12? True Is 9 a factor of 3266? False Does 33 divide 7811? False Is 18 a factor of 340? False Is 17454 a multiple of 47? False Does 17 divide 3723? True Does 14 divide 3304? True Does 5 divide 498? False Is 62 a factor of 496? True Does 83 divide 35939? True Is 10 a factor of 600? True Is 984 a multiple of 41? True Does 14 divide 481? False Is 17 a factor of 19856? True Is 13 a factor of 28522? True Is 8732 a multiple of 74? True Is 104 a factor of 21840? True Is 106 a factor of 2061? False Is 5421 a multiple of 8? False Does 18 divide 6318? True Is 908 a multiple of 16? False Does 36 divide 11160? True Is 30 a factor of 774? False Is 1560 a multiple of 13? True Is 4 a factor of 48710? False Is 2577 a multiple of 2? False Is 1448 a multiple of 11? False Does 28 divide 16852? False Is 5 a factor of 10? True Is 483 a multiple of 45? False Does 22 divide 1692? False Is 1125 a multiple of 75? True Is 128 a factor of 8580? False Is 55 a factor of 1056? False Does 13 divide 14911? True Is 2879 a multiple of 51? False Is 68 a factor of 272? True Is 8 a factor of 4610? False Is 80 a multiple of 44? False Is 72 a multiple of 5? False Is 8431 a multiple of 174? False Is 26487 a multiple of 24? False Is 9 a factor of 3499? False Is 5007 a multiple of 9? False Does 10 divide 61684? False Is 7847 a multiple of 7? True Is 12 a factor of 22019? False Is 753 a multiple of 16? False Is 1908 a multiple of 12? True Is 1015 a multiple of 26? False Does 1
{ "pile_set_name": "DM Mathematics" }
2668.239. Let j = 0.051 - k. What is j rounded to 1 dp? 1.3 Let m = -7 + 5. Let s(u) = -5*u - 2. Let h be s(m). Let g be (0/(-3))/3 + h. What is g rounded to the nearest 10? 10 Suppose 0 = -2*a + 4, 4*m + 184 = -0*m - 2*a. What is m rounded to the nearest 10? -50 Let m = 174.7 - 148. Round m to 0 dps. 27 Let p = -0.05 + 0.25. Let y = p - 1.8. Round y to one dp. -1.6 Let t = -0.02072 + 33.25072. Let r = -21.8 + t. Let y = r + -12. What is y rounded to one decimal place? -0.6 Let z(c) be the first derivative of -152*c**3/3 - 5*c**2 + 8*c - 1. Let s(d) = -14*d - 20. Let t be s(-2). Let l be z(t). Round l to the nearest one thousand. -10000 Let y = 2.039 - 0.029. What is y rounded to 1 decimal place? 2 Let g(n) = -32*n**2 + 4*n - 2. Let h be g(6). What is h rounded to the nearest 100? -1100 Let z = -0.063 - -2.013. Let a = 2 - z. What is a rounded to two dps? 0.05 Let j = -12 - -6. Let s(v) = v**2 - v. Let m be s(3). Let k be (-498004)/j - 4/m. Round k to the nearest ten thousand. 80000 Let q = 28 + -46. Round q to the nearest ten. -20 Suppose -5 = -2*o + 1. Suppose 0 = o*m + 1136 + 1972. Let l be (-25)/(-2)*(-4 + m). What is l rounded to the nearest ten thousand? -10000 Let s = -0.0624 + 0.062097. Round s to five dps. -0.0003 Let r = -35.52 - -34. Let w = r + 0.02. Let u = w - -1.4965. What is u rounded to three decimal places? -0.004 Let q = 2.3 + 0.7. Let p = q + -2.6. Let k = p + -0.399992. What is k rounded to 6 decimal places? 0.000008 Let w = -18 - -18.000142. What is w rounded to 5 decimal places? 0.00014 Let y = -9.0181 - -9. What is y rounded to 3 decimal places? -0.018 Let t = 6.4 - 6.399938. Round t to 5 dps. 0.00006 Let d = 92.3 - 18.3. Let q = -74.000116 + d. What is q rounded to 5 decimal places? -0.00012 Let h = -335.99799 - -336. What is h rounded to 4 decimal places? 0.002 Let y be 2/10 - (-59999996)/20. Suppose 0*q = -4*q + y. Round q to the nearest 100000. 800000 Let c = 525.46 - 552. Let g = 26 + c. Round g to 1 dp. -0.5 Let s(p) = p**3 + 6*p**2 + 5*p - 4. Let y be s(-5). Let g(r) = -231250*r**2. Let c be g(y). Round c to the nearest 1000000. -4000000 Let m = -3240145.999932 + 3240130. Let t = 13.3 + 2.7. Let u = t + m. What is u rounded to 5 decimal places? 0.00007 Let r = -75649 - -34649. Round r to the nearest 10000. -40000 Suppose y - 5*g - 290025 = 0, 8*g + 1160025 = 4*y + 3*g. What is y rounded to the nearest 100000? 300000 Suppose 15455064 = -4*y - 27344936. What is y rounded to the nearest 1000000? -11000000 Let p = 1.18 - 2.29. Let d = p - -1.2. What is d rounded to one dp? 0.1 Let q = 1.7 + 2.3. Let x = q + -4.0005. Round x to 3 decimal places. -0.001 Let z = -4 + 3.8. Let p = 0.23 + z. What is p rounded to two decimal places? 0.03 Suppose -5*s - 44 + 254 = 0. Let y be ((-98)/(-6))/(14/s). Round y to the nearest 10. 50 Let i be 2 + 2*(1 + -2). Suppose i*u - 4626672 = -4*u. Suppose 0 = -4*y + 5*h + 13999990, 4*h + 12843324 = 4*y - u. What is y rounded to the nearest 1000000? 4000000 Suppose -7*i + 3 = -6*i. Suppose i*c - 757971 = -2857971. Round c to the nearest 1000000. -1000000 Let y = -0.266 - -0.2. Let f = -4 + 4.024. Let g = y + f. Round g to two dps. -0.04 Suppose -3*o - 2*u = 3*u - 59, -4*o + 3*u + 69 = 0. Suppose a = 6*a - 55. Let b = o - a. What is b rounded to the nearest ten? 10 Let c = -1 - -1.08. Let r = c - 0.1. Let d = r - -0.0194. Round d to three dps. -0.001 Let n = 69670707.07969596 + -0.07969596. Let t = -69670640.000082 + n. Let h = t - 67. What is h rounded to five decimal places? -0.00008 Let i = 26.325322 + -1.325152. Let y = 25 - i. What is y rounded to 4 dps? -0.0002 Let k be (6 - 6) + (-1 - -1). What is k rounded to 7 dps? 0 Let q = -119.1 + -6.3. Let a = 58.1 + q. Let b = a + 77. Round b to the nearest integer. 10 Let o be -2582*((-28)/(-8) + -3). Let u be o - (-4)/((-12)/(-3)). Round u to the nearest 100. -1300 Let m = 62 - 62.039. Let l = m - -0.309. What is l rounded to 1 dp? 0.3 Let f = -0.9299401 + 0.93. Round f to 5 decimal places. 0.00006 Let i = -93.59 - 1.41. Let t = -100.7 - i. Let o = 5.7023 + t. Round o to three decimal places. 0.002 Let v = -277329 - -277344.9989. Let c = v + -16. What is c rounded to 3 dps? -0.001 Let w = -13.31 - -13.372108. Let o = 56 - 56.062. Let a = w + o. What is a rounded to 5 dps? 0.00011 Let r = -20.9 + 2.9. Let n = r - -17.9928. Round n to three decimal places. -0.007 Let a = 0.1 + -0.1. Let w = a + -0.2. Let r = w + 0.205. Round r to 2 dps. 0.01 Let y = -0.39 + 0.79. What is y rounded to the nearest integer? 0 Let l = -6.5897 + 7.231. Let i = -0.671 + l. Round i to 3 dps. -0.03 Let u be (6/3)/((-4)/6). Let o be -670002 - (1 + u)*1. Round o to the nearest 100000. -700000 Let l(i) be the second derivative of i**4/12 - i**3/2 + 6*i. Let h be l(3). Round h to three dps. 0 Let a = 7.37 + -8.2672. Let t = 3.9 + -3. Let w = t + a. Round w to three dps. 0.003 Let l = -11959.4 + 11790.766. Let n = l - 0.366. Let k = -168.19 - n. What is k rounded to one dp? 0.8 Let v = -336 - -342.42. Let u = v + 0.68. Round u to 0 dps. 7 Let c(u) be the third derivative of 0 - 4631/120*u**6 - 2*u**2 - 7/60*u**5 - 1/3*u**3 + 0*u + 7/24*u**4. Let w be c(-6). Round w to the nearest 1000000. 1000000 Let b = 358753.047 + -587.047. Let v = b + -358173.99945. Let j = v - -8. Round j to 4 dps. 0.0006 Let h = 31 + -14. Let k = h + -17.0062. Round k to three decimal places. -0.006 Let g = 170585.3335672743 + -70802478.2335664243. Let d = g + 70631890. Let v = 2.9 + d. Round v to 7 dps. 0.0000009 Let x = 5 - 3. Suppose 0 = -4*u + x*r + 356, 2*r - 12 = -r. What is u rounded to the nearest 10? 90 Let t = 122.61986 - -2.31314. Let a = -125 + t. Round a to two decimal places. -0.07 Let t = -136958 + 202958. What is t rounded to the nearest ten thousand? 70000 Let o = 5.988 + -6. Let c = -0.198 + o. Let i = c + 0.39. What is i rounded to one decimal place? 0.2 Let q = 3.92 - -0.08. Let y = 37 - q. Let f = -40.3 + y. Round f to 0 dps. -7 Let v = -315 - -314.9205. Let d = -0.08 - v. What is d rounded to four dps? -0.0005 Let j(u) = 67*u**3 + u**2 + u - 2. Let f be j(2). Suppose f = -n + 2740. What is n rounded to the nearest 1000? 2000 Let s = -2.9 + 4.8. What is s rounded to zero decimal places? 2 Let a = 5.9999996 - 6. What is a rounded to seven dps? -0.0000004 Let i = -0.017 - -0.01788. What is i rounded to four decimal places? 0.0009 Let l = -1704313601.0000064 + 1704233558. Let p = l + 80039. Let d = 4 + p. What is d rounded to six decimal places? -0.000006 Let s = 12 - 10. Suppose s*h + 38859 = 859. Round h to the nearest ten thousand. -20000 Let x be (144/45)/(2/5). Suppose -x*v + 5*v = -470172. Suppose -5*k + 3*o = v + 178270, -3*k = 2*o + 201004. Round k to the nearest 10000. -70000 Let n = -1.459 - 0.021. What is n rounded to one decimal place? -1.5 Let k = -0.01 + 7.01. Let s = 16.508 + -0.008. Let g = s - k. What is g rounded to the nearest integer? 10 Suppose 7*x = 2*x + 460025. Suppose -5*i + 115003 = -3*m, 9*m - 4*m + x = 4*i. Round i to the nearest ten thousand. 20000 Let n = 94211.0039961 + -94211. Let m = -0.004 + n. What is m rounded to 6 decimal places? -0.000004 Let n = 0.2 + -2.7. Let v = 2.500017 + n. What is v rounded to 6 decimal places? 0.000017 Let f = 32846886.999966 + -32846860. Let i = f - 27. Round i to 5 dps. -0.00003 Let s = 77 + -77.00000184. Round s to 7 decimal places. -0.0000018 Let b = 57.48 - -4.62. Round b to the nearest ten. 60 Let d = 0.36 + -0.06. Let v = 1.67 + d. Let m = v + -1.9593. Round m to 3 decimal places. 0.011 Let y = 0.07 - -0.71. Let v = y - 0.9. What is v rounded to one dp? -0.1 Let f = -0.14 + 0.14017. What is f rounded to four dps? 0.0002 Let q = 7 + -6.99881. What is q rounded to 4 decimal places? 0.0012 Let o(l) be the third derivative of 13*l**4/24 - 7*l**3/6 + l**2. Let g be o(-6). Round g to the nearest 10. -90 Let f(c) = -c - 3. Let l be f(-4). Let k = l + 2. Let n be 2/k + (-810006)/9. What is n rounded to the nearest ten thousand? -90000 Let h = -0.017005491 + -15.983001709. Let o = h + 16. Round o to six dps. -0.000007 Let l = -392 - -627. Suppose -3*q + 80 + l = 0. Round q to the nearest 10. 110 Suppose 0 = 2*p + 10 - 122. Round p to the nearest ten. 60 Suppose -22452 = -5*a + 2*c - 138112, 5*a = -4*c - 115660. Let d = 1
{ "pile_set_name": "DM Mathematics" }
0 = 3*r + 2*r + 4*g + 19. Let c be (r/9)/(2/(-18)). Suppose w + 4 = -0, -4*m - c*w + 88 = 0. Solve -6*v + m = -v for v. 5 Let b be ((-48)/(-20))/((-6)/(-40)). Let c be b/8 - 1*-4. Solve -c = -2*w - w for w. 2 Let t be (8 + 0)*9/18. Suppose -5*n + 5*u = 10, -t*u = 5*n - n - 32. Let q = n + 12. Solve -b + q = -4*b for b. -5 Let f = 13 + -12. Suppose f = -u + 8. Let a = u - 7. Solve 0 = 2*h - 2 - a for h. 1 Suppose -w + 0*z + 17 = -5*z, 5*w + 5*z = -5. Suppose 0 = j - w - 2. Solve j*n + 3 + 9 = 0 for n. -3 Let u(r) = 2*r - 18. Let l(i) = i**3 + 6*i**2 - 6*i + 17. Let d be l(-7). Let z be u(d). Solve 3*s - 1 = z for s. 1 Let t = 302 - 299. Solve t = 5*n + 18 for n. -3 Let p(y) = y**3 + 22*y**2 - 18*y + 48. Let s be p(-23). Let j = s - -71. Solve 0*d - j*d = 20 for d. -5 Suppose 10*a = y + 12*a + 1, 16 = -4*a. Solve 5*v - y = 18 for v. 5 Let s be (22/4)/((-14)/4 + 4). Solve -3 = 4*j - s for j. 2 Suppose -2*q + 1 = -9. Let w(k) = -3*k - 12. Let b be w(-4). Suppose -4*m - 10 + 14 = b. Solve m + 19 = q*a for a. 4 Let w = 8 + -14. Let j = 15 + w. Solve j = 4*r + 25 for r. -4 Suppose -2*k - 25 = -7*k. Let m = k - 1. Let b be 7 + 2 - 198/66. Solve -5*y - b = m for y. -2 Let k be (-888)/(-10) - 11/(-55). Let r = 90 - k. Solve 2*n = 11 - r for n. 5 Let g(s) = 11*s - 99. Let z be g(9). Solve -a + 1 + 1 = z for a. 2 Let c = 61 + -59. Solve 20 = 7*i - c*i for i. 4 Suppose -3*s - 15 = -6*s. Let b = -51 + 56. Solve -s = -b*f - 0 for f. 1 Let b(g) = 88*g - 84. Let f be b(1). Solve 11 - f = 7*t for t. 1 Let j(k) = 7*k + 4*k**2 - 3 + 3 - 5*k**2. Let l be j(6). Solve -4*g + 7*g = -l for g. -2 Let m be (-2)/(90/(-309)) + (-16)/(-120). Solve 5*f + m = 2 for f. -1 Suppose k + h = -1, 0*h - h - 25 = -5*k. Suppose -k + 1 = -w. Solve -l = -w*l for l. 0 Let j(d) = d**3 + 4*d**2 + 4*d + 1. Let y be j(-3). Let f(z) = -2*z. Let x be f(y). Suppose -3*k + 8*k - 4*h = 11, -x*k + 8 = -4*h. Solve k*n = 2*n + 5 for n. 5 Let g(j) = -j**3 + 6*j**2 - 4*j - 4. Suppose -6*n = -n - 25. Let h be g(n). Solve y + h = 2 for y. 1 Let w be 6/4*(6 + 4/(-1)). Suppose -5*m + r = -2*r - 67, 3*m + w*r = 21. Solve 1 = 4*n - m for n. 3 Let r = 299 + -299. Solve r = -9*s - 5 - 13 for s. -2 Let y be 4/(-16)*-4 + 1. Let v be 5 - (y - 0/(-3)). Let l be (-1)/(v - 52/16). Solve l + 1 = n for n. 5 Suppose -g + 4*g - 2*n = 10, 4*g + n - 17 = 0. Let t be 4/8*(g - 0). Let p = 1 - -2. Solve 5*r + p = t*r for r. -1 Suppose 3*g = -c + 47, -5*g + c + 69 = -2*c. Let n be g - 2*4/(-8). Let q be ((-6)/2 - 0) + 8. Solve 6 = q*w + n for w. -2 Suppose -4*a + 2*d = -4, -a - 2*a - 4 = 2*d. Suppose 10 - 12 = -i. Solve i = -c - a for c. -2 Let g = -1378 - -1419. Solve 13*y + g = 2 for y. -3 Let s(q) = -q**2 - 7*q - 5. Let f be s(-4). Let w = -1 - -1. Suppose 18 = 7*m - m. Solve w = m*d - f*d for d. 0 Let s(y) = y**3 - 15*y**2 - 2*y + 33. Let k be s(15). Let d be ((-24)/k + 2)*7/(-14). Solve 12 = -d*f - f for f. -3 Let c(p) = 5*p**3 + p**2 - 2. Let l be c(1). Solve l*y = -y - 15 for y. -3 Suppose 4*o = 2*u + 6, o - 10*u - 9 = -11*u. Solve 26*p = 24*p - o for p. -2 Let u = 8 + -3. Let j(g) = 3*g + 23. Let c(n) = n + 11. Let r(l) = u*c(l) - 2*j(l). Let w be r(8). Solve q - w = -0*q for q. 1 Let w be ((-67)/(-7) - 9/(-21)) + -4. Let n(l) = l**2 + 5*l - 63. Let o be n(w). Solve -o = -2*p - 11 for p. -4 Let o be 3/(4 - (1 - 0)). Let c(j) = 23*j - 2. Let u be c(o). Solve -5*k - u + 1 = 0 for k. -4 Let b = -58 + 62. Suppose -3*h = -6*h + 36. Suppose -3*f = h, -4*j = -2*f - 2*f - 40. Solve -t + b*t + j = 0 for t. -2 Let c(l) = -16*l + 342. Let p be c(21). Solve -p*r = 8*r - 70 for r. 5 Suppose 2 = 3*o - u, -3*o + 1 = 2*u + 5. Solve -n + 3 + 1 = o for n. 4 Let x be 110/9 + (-6)/27. Suppose -17 = -5*c - 52. Let y = c + x. Solve 0 = -y*s - 7 - 8 for s. -3 Let j(s) = -s**2 + 4*s - 3. Let w be j(3). Let m be 25/3 + (-12)/(-18). Suppose 0*r - 3*r - 5*g + 7 = 0, -2*r + g = -m. Solve 0 = -w*f - r*f + 12 for f. 3 Let i(u) = u**3 - 5*u**2 - 4*u - 1. Let f be i(5). Let h = f - -26. Solve 2*d = -h - 3 for d. -4 Suppose 18*v = 11*v + 56. Solve 4*r - v = 6*r for r. -4 Suppose -3*v + 16 = 10. Suppose 3*n = -v + 8. Solve 0 = n*i - 6*i + 16 for i. 4 Let r(y) = y**2 + 3*y - 8. Let q be -4 + (1 - (3 - 1)). Let w be r(q). Solve 0 = 3*m + 5 - w for m. -1 Let a be (-350)/(-60) + (-3)/(1 - 19). Solve 0 = 3*u - a + 15 for u. -3 Let a be 6 - (5 + (6 - 7) + -6). Solve 0 = a*k + 10*k for k. 0 Suppose 135 = 4*f - 3*z, f + 2*z - 22 + 2 = 0. Solve 4*a + 18 = f for a. 3 Let y be (12/16)/3 - 3789/(-12). Solve y*a - 3 = 317*a for a. -3 Let m = -125 + 129. Suppose 5*x - 37 + 7 = 0. Let d(j) = j**2 + 3*j - 4. Let q be d(-4). Solve q = -m*t - 6 - x for t. -3 Let a = -17 - -13. Let s be a - (-1)/((-1)/(-7)). Solve -2*j = j - s for j. 1 Let u be 40/(8 + 0) - (2 - 3). Solve 0*m - u*m - 18 = 0 for m. -3 Let b = -76 + 78. Solve -j - b*j = -9 for j. 3 Suppose -15 = -7*j + 13. Solve -6 - 6 = j*t for t. -3 Let k(c) = -c**2 + 26*c + 7. Let h be k(26). Solve -h = 6*s - 1 for s. -1 Suppose -6 = 2*l - 4*l. Let y(p) = -7*p**2 + 1 - 8 + 2*p**3 - l*p**3 + 7*p + 1. Let j be y(-8). Solve 4*w + 2 + j = 0 for w. -1 Let k(t) = -4*t + 1 + 5 + 4*t + t. Suppose -2*p = -4*p - 10. Let l be k(p). Solve l - 3 = -2*x for x. 1 Let t(m) = 2*m + 5. Let a be t(2). Suppose -3*i = -4*c - a, 2*i - 2*c - 1 = 5. Solve -5*g - 12 = i for g. -3 Suppose -4*i + 75 = -73. Let v = i + -37. Solve 0*s + 5*s = v for s. 0 Let m = 352 + -351. Solve -o + 4 = -m for o. 5 Let u be 4*(-4)/(-16)*-1. Let d(o) = 4*o + 2. Let b be d(u). Let x = b - -6. Solve x*h = h - 15 for h. -5 Let m = 13 - -14. Let n = m - 20. Solve -n - 1 = -4*f for f. 2 Suppose -70 = 3*h - 4*j - 0*j, 3*h + 4*j + 38 = 0. Let m be (-6)/h - (-16)/6. Solve 4*b - m*b = 0 for b. 0 Suppose -20 = -5*p - 0*i - i, 0 = 3*p - 3*i + 6. Suppose 2*c - 16 = -2*b + 10, p*b - 3*c = 51. Let q be -3 + 0 - (-9 - -2). Solve b = f - q*f for f. -5 Let f = -713 + 722. Solve f*r + 43 = -2 for r. -5 Let i be ((-104)/(-20))/2 - 8/(-20). Solve 0 = -i*p - 7*p + 30 for p. 3 Let l = -38 - -40. Suppose -v = j, 3*v + 2*j - l = -0*j. Solve 0 = 5*f - v - 3 for f. 1 Let p = 2657 - 2615. Solve -p*r = -40*r - 10 for r. 5 Suppose -3*l + 28 = 5*a, -2*l - 4*a + 8 = -10. Solve l*b - 15*b = 20 for b. -5 Let g = 82 + -17. Solve -g*x - 10 = -63*x for x. -5 Let s = -2420 - -2426. Solve 18*w = -12 - s for w. -1 Let h(u) = u**3 - 6*u**2 + 3*u - 13. Let m be h(6). Suppose 11*y - 12 = m*y. Solve -4*b + 3*b + y = 0 for b. 2 Suppose 4*r = -16, 6*d - 11*d + 4*r = -16. Solve 0*z + 6*z - 18 = d for z. 3 Suppose 0 = -5*n + f + 55, -n = -2*f - f - 25. Suppose n = 3*z - z. Solve -z*b = 1 + 4 for b. -1 Let q be (-4 - (2 - -1))*-3. Let o(f) = 2*f - 4. Let u be o(4). Let m(l) = l**3 + 9*l**2 + 5. Let n be m(-9). Solve -n*w - q - u = 0 for w. -5 Let y = 10 + 2. Let f be -2*(-9)/y*2. Solve 0 = i + f*i - 16 for i. 4 Let o be ((-1)/(-2) - 1) + 1325/50. Let r = -24 + o. Solve 0 = r*a + a + 15 for a. -5 Let m = 13 - -2. Suppose -5*l + m = -2*l. Solve -14 - 1 = l*o for o. -3 Let s(n) = -n + 20. Let c be s(0). Let r = -28 + c. Let o(y) = y + 9. Let k be o(r). Solve k + 1 = -2*x for x. -1 Let w = 20 + -14. Let k(m) = -2*m + 7. Let a be k(w). Let n be 2/10 + (-9)/a. Solve n*v = -3*v for v. 0 Suppose 0 = 2*i - 9 - 3. Suppose 0*m = 3*m - i. Suppose 2*c - 24 = -5*y, 3*c - 4*y = -3*y + m. Solve -n = c*n + 12 for n. -4 Suppose -5*r = 3*w - 81, 4*r - 2*w - w - 81 = 0. Let n = -15 + r. Let v = 7 + n. Solve v = i - 3*i for i. -5 Let c be (-3)/(34/12 - 3). Let h = c + -13. Solve 0 = -i + 1 - h for i. -4 Suppose -2*m + 3*j = -0*m - 16, 5*m + 5*j - 90 = 0. Suppose m*u = 11*u + 15. Suppose 0 = -4*b - 5 + 37. Solve -o + b = -u*o for o. -2 Let a be 0*(-3 - (-20)/8) - -7. Solve -w = -a*w - 18 for w. -3 Let l(b) = b**3 + 15*b**2 + 24*b - 21. Let w be l(-13). Suppose -5*n - q + 31 = 0, -5*n + 44 = 4*q + 10. Solve -w*d + 19 + n = 0 for d. 5 Suppose 206 = 4*y + 202. Solve -k + y = -0 for k. 1 Let d = 23 - 5. Let w = 23 - d. Suppose 3*h - w = 4. Solve -2*q - h*q = -25 for q. 5 Let a(l) = 3*l**3 + 48*l**2 + 39*l - 33. Let p be a(-15). Solve p*k - 62*k = -20 for k. 4 Let p = -98 + 148. Suppose -5*x + 0*h = 5*h - p, -2*x = -5*h + 15. Solve t + x = -4*t for t. -1 Let g be 1/5 + 32/40. Let k = g + -23. Let o = -20 - k. Solve -o*j + 2 = 6 fo
{ "pile_set_name": "DM Mathematics" }
3/35 What is prob of picking 2 m and 2 r when four letters picked without replacement from {r: 2, m: 3}? 3/5 What is prob of picking 2 t when two letters picked without replacement from {b: 10, t: 9}? 4/19 Four letters picked without replacement from {s: 3, a: 2, z: 8, g: 2}. What is prob of picking 1 g, 1 z, and 2 a? 16/1365 Four letters picked without replacement from xeexxeeexeex. Give prob of picking 4 e. 7/99 Two letters picked without replacement from {v: 2, d: 3, g: 1, q: 1, y: 4}. Give prob of picking 2 y. 6/55 Three letters picked without replacement from {h: 12, c: 6}. What is prob of picking 3 h? 55/204 Three letters picked without replacement from cwzhzhwwzdwhw. Give prob of picking 1 w, 1 c, and 1 z. 15/286 Calculate prob of picking 2 f and 2 j when four letters picked without replacement from fffjj. 3/5 Two letters picked without replacement from {r: 1, u: 1, o: 2, y: 2, i: 1, v: 2}. What is prob of picking 1 u and 1 i? 1/36 What is prob of picking 2 a when two letters picked without replacement from {a: 3, q: 5, u: 8}? 1/40 Three letters picked without replacement from {p: 2, g: 17}. What is prob of picking 2 p and 1 g? 1/57 Four letters picked without replacement from {e: 5, z: 2, m: 6, b: 2, s: 1}. What is prob of picking 2 m and 2 s? 0 Calculate prob of picking 3 p when three letters picked without replacement from xqprpxqjqpnp. 1/55 Three letters picked without replacement from suisssusoouosu. Give prob of picking 1 s, 1 i, and 1 u. 6/91 Three letters picked without replacement from rsrrslrwlqrgw. What is prob of picking 2 s and 1 w? 1/143 What is prob of picking 1 q and 1 x when two letters picked without replacement from obmoqtxtbqbqo? 1/26 Four letters picked without replacement from {l: 8, w: 2, j: 4}. What is prob of picking 1 j and 3 l? 32/143 Calculate prob of picking 1 o, 1 e, and 1 k when three letters picked without replacement from teokeo. 1/5 Calculate prob of picking 1 t and 2 y when three letters picked without replacement from {y: 7, t: 1}. 3/8 Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {o: 4, x: 6, q: 3, w: 1}. 12/91 Two letters picked without replacement from {d: 16, g: 4}. Give prob of picking 2 g. 3/95 Four letters picked without replacement from {y: 10}. Give prob of picking 4 y. 1 Calculate prob of picking 2 w when two letters picked without replacement from {x: 5, w: 8, y: 2}. 4/15 Calculate prob of picking 1 s, 1 v, 1 m, and 1 r when four letters picked without replacement from rsmmrvvmrjrr. 2/33 Four letters picked without replacement from {o: 2, h: 4, x: 2}. What is prob of picking 2 o and 2 x? 1/70 What is prob of picking 1 h and 1 w when two letters picked without replacement from {w: 3, h: 3}? 3/5 What is prob of picking 1 b, 2 j, and 1 k when four letters picked without replacement from jbbjjkbjlkbnkbnjnjnn? 15/323 Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {o: 1, x: 3, c: 9, d: 2, v: 4}. 2/19 Four letters picked without replacement from rvrrvrvxrxrraaavr. Give prob of picking 2 r, 1 x, and 1 v. 8/85 Two letters picked without replacement from arrarrr. What is prob of picking 2 r? 10/21 Calculate prob of picking 1 q and 2 d when three letters picked without replacement from dqdq. 1/2 What is prob of picking 2 w when two letters picked without replacement from wawaw? 3/10 Calculate prob of picking 1 g and 2 i when three letters picked without replacement from {i: 12, l: 2, g: 5}. 110/323 Three letters picked without replacement from {e: 11, u: 1}. What is prob of picking 3 e? 3/4 Calculate prob of picking 3 k when three letters picked without replacement from kkkykyy. 4/35 What is prob of picking 2 i and 1 o when three letters picked without replacement from {i: 2, h: 1, o: 1, y: 3}? 1/35 What is prob of picking 2 f when two letters picked without replacement from qexdfefeedf? 3/55 Calculate prob of picking 3 v when three letters picked without replacement from {v: 14, o: 4}. 91/204 Calculate prob of picking 1 c, 2 l, and 1 k when four letters picked without replacement from {i: 1, c: 1, l: 2, k: 1, j: 1, x: 1}. 1/35 Calculate prob of picking 1 o and 3 d when four letters picked without replacement from ddodddddoodddododoo. 385/969 Calculate prob of picking 4 l when four letters picked without replacement from {l: 10, f: 1, c: 1, t: 2}. 30/143 Calculate prob of picking 1 g, 1 l, and 1 h when three letters picked without replacement from {h: 2, g: 4, l: 2}. 2/7 Calculate prob of picking 2 u and 1 l when three letters picked without replacement from {u: 2, l: 5}. 1/7 What is prob of picking 1 n and 1 b when two letters picked without replacement from nbn? 2/3 Three letters picked without replacement from zqzqqz. What is prob of picking 3 z? 1/20 Calculate prob of picking 1 v and 2 u when three letters picked without replacement from uquririv. 1/56 What is prob of picking 2 v when two letters picked without replacement from {g: 3, d: 3, v: 3, t: 6}? 1/35 What is prob of picking 2 x when two letters picked without replacement from xvhvxxvx? 3/14 Three letters picked without replacement from {c: 7, t: 2, y: 11}. What is prob of picking 1 y and 2 t? 11/1140 What is prob of picking 2 g when two letters picked without replacement from gkg? 1/3 Calculate prob of picking 1 p and 1 l when two letters picked without replacement from zlszp. 1/10 Four letters picked without replacement from nyatyza. Give prob of picking 2 y, 1 t, and 1 z. 1/35 Three letters picked without replacement from {c: 4, x: 1, k: 3, b: 2}. Give prob of picking 1 b, 1 x, and 1 k. 1/20 What is prob of picking 2 c and 2 v when four letters picked without replacement from {v: 3, c: 9}? 12/55 What is prob of picking 1 p and 1 v when two letters picked without replacement from {v: 12, p: 1, j: 7}? 6/95 Calculate prob of picking 4 m when four letters picked without replacement from mmmymymmmy. 1/6 Two letters picked without replacement from {h: 5, r: 5}. What is prob of picking 1 h and 1 r? 5/9 Calculate prob of picking 2 v when two letters picked without replacement from hbkbbvhvrrkrar. 1/91 Four letters picked without replacement from zeezezeeeze. What is prob of picking 2 z and 2 e? 21/55 Two letters picked without replacement from znzun. Give prob of picking 1 u and 1 z. 1/5 Four letters picked without replacement from gggucuuggucccgpuucu. Give prob of picking 3 g and 1 u. 35/969 Four letters picked without replacement from {j: 3, l: 2, m: 5, z: 1, x: 1}. Give prob of picking 2 m, 1 z, and 1 j. 2/33 Two letters picked without replacement from {d: 7, j: 2}. What is prob of picking 2 j? 1/36 Two letters picked without replacement from {q: 2, j: 6}. What is prob of picking 2 q? 1/28 Four letters picked without replacement from syeysysgyys. What is prob of picking 1 e, 1 s, and 2 y? 4/33 What is prob of picking 2 i when two letters picked without replacement from {i: 19, p: 1}? 9/10 Three letters picked without replacement from jlljj. Give prob of picking 3 j. 1/10 What is prob of picking 1 m and 3 e when four letters picked without replacement from eemeeeeeeeeee? 4/13 Two letters picked without replacement from {d: 7, o: 5, x: 1, i: 1, k: 1}. What is prob of picking 1 k and 1 x? 1/105 Two letters picked without replacement from {s: 1, a: 2, c: 1, i: 2, x: 1, m: 2}. What is prob of picking 1 a and 1 m? 1/9 Calculate prob of picking 2 g when two letters picked without replacement from {u: 2, g: 11, j: 1}. 55/91 Two letters picked without replacement from dxdv. Give prob of picking 1 x and 1 v. 1/6 Calculate prob of picking 1 q and 2 f when three letters picked without replacement from qhfhhqhhzqjqhzf. 4/455 Four letters picked without replacement from bbnnb. What is prob of picking 3 b and 1 n? 2/5 Two letters picked without replacement from {t: 1, n: 5, u: 7, y: 1, q: 5}. What is prob of picking 2 q? 10/171 What is prob of picking 2 l when two letters picked without replacement from aulazaauaaalaa? 1/91 Calculate prob of picking 1 r and 3 q when four letters picked without replacement from qqrqqrrrrrqrrrqrurq. 385/3876 Calculate prob of picking 4 t when four letters picked without replacement from {t: 14, v: 1}. 11/15 What is prob of picking 1 p, 1 y,
{ "pile_set_name": "DM Mathematics" }
3. Let u be d(18). Let i = u + -153. What is the lowest common multiple of 9 and i? 630 Let k = 678 - 1142. Let z = 9/124139 + 2016265323/4344865. Let n = k + z. What is the common denominator of 61/40 and n? 280 Let p = 12461/220077 - 87/5434. What is the common denominator of 71/3 and p? 3078 Let h = 12879/77 - 5796683/34650. Find the common denominator of 131/126 and h. 3150 Let t = -137 - -93. Calculate the common denominator of 10/(-40) - ((-37)/t)/(-1) and 2/4*245/155. 682 Let u = -17561 + 17625. Let r(x) = -x**3 + x + 64. What is the smallest common multiple of u and r(0)? 64 Calculate the least common multiple of (-1202)/(-15) + 186/(-1395) and 100. 400 Calculate the common denominator of (-134)/36*27/(-99) and (-3)/(-4) - ((-387)/(-1188) + 3/2). 66 Let o be (2/142)/((-13324)/(-106876)). Let n = 1/3331 - o. Calculate the common denominator of n and -62/5. 355 Let c be ((-5)/(-4) - 12/(-16))/1. Let h(l) = -4*l + 18. What is the smallest common multiple of h(c) and 2? 10 Let u(i) = -7*i - 28*i**3 - 4*i**2 - 8*i**3 + 9 + 34*i**3. Calculate the smallest common multiple of 66 and u(-3). 528 Suppose -26*v = -21*v - 3*a - 159, -3*v - a = -87. Let z be 2 + -4*(-201)/6. Calculate the lowest common multiple of z/22 + 6/(-33) and v. 30 Suppose -1260 = 5*b - 13620. Let a(l) = 23*l**2 - 2277*l + 2. What is the smallest common multiple of a(99) and b? 2472 Suppose -4*o - 38 = -b - 27, 5*b + 3*o - 32 = 0. Calculate the lowest common multiple of 74 and b. 518 Let r = -267358 - -210143327/786. Find the common denominator of r and -119/12. 1572 Let h(m) = -m + 6. Let b be h(10). Suppose 0 = y + 136 - 140. Calculate the lowest common multiple of b/(-16) - 14/(-8) and y. 4 Let x be (2/2 - 2)*2. Let v be ((-6)/5)/(x + (-154)/(-80)). Calculate the common denominator of 49/10 and v/(-104) + (-28)/(-26). 130 Let l = -5161 + 2786987/540. Find the common denominator of l and -19/162. 1620 Let b = -17153 - -17162. What is the smallest common multiple of 1308 and b? 3924 Let m(v) = -v**2 - 11*v - 16. Let c be m(-7). Find the common denominator of (-10)/c*1331/110 and -69/442. 2652 Let h = 169 + -86. Suppose -12*j + 43 = 31. What is the smallest common multiple of h and j? 83 Calculate the common denominator of 65/84 and (6015/(-1725))/(36/(-15)) + -2. 1932 Suppose 0 = 3*q - 4*q + 48. Suppose 4*n - 12 = q. Calculate the smallest common multiple of n and (-3)/(-5 - 9/(-2)). 30 Let x = -12475/52 + 27510547/114660. Find the common denominator of x and -1/45. 2205 Suppose -7*f + 69 = 111. Suppose 62 = 5*i - 3*t, 2*i + 2*t - 12 = -0*t. Calculate the least common multiple of 84/(-49)*63/f and i. 90 Let o = 184777 + -46563901/252. Calculate the common denominator of o and -121/10. 1260 Let h = -679 + 682. Suppose -3*i + h*a + 202 = -95, -2*i + 201 = -3*a. Calculate the lowest common multiple of 120 and i. 480 Let l(n) = n**3 - 49*n**2 - 46*n + 240. What is the lowest common multiple of l(50) and 80? 880 Let d = -10763/956 - -2/239. Find the common denominator of d and -21/586. 1172 Let v = -612629/40 - -15315. What is the common denominator of 91/400 and v? 400 Let f = 114 + -100. Suppose -f*c + 113 = 1. What is the smallest common multiple of c and 8? 8 Let z be (-3)/3*(-4 - 0). Suppose -2*b - 3*r + 444 = -2005, z*b - r = 4905. Let k = 2531/2 - b. Calculate the common denominator of 59/10 and k. 10 Let k(i) = -i**3 + 6*i**2 + 25*i + 6980. Calculate the least common multiple of k(0) and 10. 6980 Let g = -469 + 478. Let j be (0 - (-10)/(-4))*-6. Suppose t = j - g. What is the smallest common multiple of 57 and t? 114 Let h = 843031/132 - 19154/3. Find the common denominator of -105/88 and h. 88 Let y be 10/((1/(-7))/((-8)/(-16))). Calculate the least common multiple of y/((-21)/(-3)) + 20 and (-4)/(-8)*126/3. 105 Let b = -1/3808 + -46645/11424. Let w = -38 - 10. What is the common denominator of b and (116/w)/((-3)/(-4))? 36 Let l(d) = -5*d + 83. Let p be l(16). Let t(q) = 2*q**2 - 5*q + 8. Calculate the lowest common multiple of (-5)/(15/(-63)) - p and t(6). 450 Let s = -554/19 - -3109/76. What is the common denominator of s and ((-97)/(-39))/(16/(-3))? 208 Let q = -14661/166 + 88. Calculate the common denominator of -73/48 and q. 3984 Let k(d) = 119*d**2 + 0 - 385*d**2 - 4*d + 1. Let r be k(2). Let w = r - -4227/4. Calculate the common denominator of w and 53/3. 12 Let v(p) = -7*p**2 + 42*p + 6. Let o be v(6). What is the least common multiple of 461 and (90/9)/10 + o? 3227 Let h = 159 - 155. Calculate the common denominator of -65/8 and 2 + h + -3 + (-2181)/900. 600 Let y = -71 + 69. Calculate the common denominator of (y/3)/((-98)/(-413)) and 23/24. 168 Let j be ((-3)/1)/(-1 + -1 + 1). Suppose 4*m - 5*c + 8 = 92, -5*m + 105 = j*c. Let u = -6 + 10. What is the smallest common multiple of m and u? 84 Let n = -8378 + 8746. What is the least common multiple of 414 and n? 3312 Let z be (-674)/(-2568) - 2/8. Let n be (-25)/642*14/((-140)/(-12458)). Let y = z + n. What is the common denominator of y and -91/34? 34 Let x(r) = 15*r**2 + 76*r - 291. What is the least common multiple of x(8) and 9? 11493 Calculate the common denominator of 10 - ((-22503)/4615 + 15) and -31/185. 13135 Let g = -125 + 237. Calculate the common denominator of 1 + 3 - (1 + 692/g) and 7/48. 336 Let h = 7059 - 6800. What is the least common multiple of 63 and h? 2331 Let h = 74/9 - 13/3. Calculate the common denominator of h and 14/289. 2601 Let u = 47 + -3. What is the common denominator of 86/u + 0/2 and (-2 - (-69)/30) + (1 - -1)? 110 Let a = -1/16039 - 689673/64156. What is the common denominator of a and -65/19274? 38548 What is the common denominator of 31/4 and 17/(-272)*516/(-27)*(-3)/(-52)? 624 Let d = 11 + -18. Let h(b) = b**3 + 9*b**2 + 9*b - 5. What is the least common multiple of h(d) and 112/(-44)*(-187)/34? 210 Suppose -2*q - 3*q = 2*g - 180, -3*g = q - 36. Calculate the smallest common multiple of q and 111 + (-25 - -3 - -10). 396 Let z = 112456329/18062567834 - -2/1423819. Calculate the common denominator of -101/14 and z. 88802 Let h = -32057/2 - -16039. What is the common denominator of h and (316/28)/(90/21)? 30 Let y = -932855018/2103 + 443583. What is the common denominator of -25/8 and y? 16824 Calculate the common denominator of ((-52)/(-2))/((-100)/(-15)) and (4 - 1) + (-6 - 3/(-48)). 80 Let p be (-151)/(4 - 20*2/8). Suppose -5*n - 4*y - p = -10*n, 4*n = 4*y + 124. What is the lowest common multiple of n and 72? 216 Let b(s) be the third derivative of 5*s**4/24 - 17*s**3/3 + 28*s**2. Let g be b(14). Suppose 3*l + 12 = g. What is the smallest common multiple of 6 and l? 24 Let u(c) = -5*c + 28. Let y be u(6). Let d be 33/18 + y - (-146)/(-78). Let a = d - 265/39. Find the common denominator of 61/9 and a. 18 Calculate the common denominator of ((-8)/((-64)/646) + -5)/(54/(-2)) and 41/462. 2772 Let p be 2 + 2 + -4 + (-313241)/72. Let q = -4351 - p. Calculate the common denominator of -87/16 and q. 144 Suppose -2*f - 12682 = 4744. Let i = f - -14137. Let n = 32423/6 - i. What is the common denominator of -43/8 and n? 24 Let w(v) = -v - 13. Let z be w(17). Let d be (-6)/z - (-1)/180*-866. Let g = d + 2717/558. Calculate the common denominator of g and 7/10. 310 Suppose -15*o - 40195 = 43625. Let s = -114089941/20670 - 53254/795. Let k = s - o. What is the common denominator of -89/16 and k? 208 Let i = -5575 - -5589. What is the lowest common multiple of 3246 and i? 22722 Let z = 116029/26 - 4464. Let f = 41733/154 + -1910/7. Calculate the common denominator of z and f. 286 Find the common denominator of 77/6 and (51*32/(-504))/((-84)/98). 18 Suppose 2*t = -0*t + 16. Suppose -15 = -n - 3*v, 3*n - 32 = -5*v - 3. Suppose 6*z - 105 = n. What is the smallest common multiple of t and z? 72 Let d = -11870/3 + 237373/60. Calculate the common denominator of d and -24/2975. 11900 Let n = 160/3 + -889/18. Calculate the common denominator of n and -101/642. 1926 Let l(g) = -g**3 + 7*g**2 + 4*g + 6. Let y be l(-3). Suppose -y*z + 72 = -72*z. What is the least common multiple of 94 and z? 282 Let f(c) = -10*c**3 + 2*c**2 + 11*c + 28. Let h(l) = 5*l + 61. Let o be h(-13). What is the smallest common multiple of 14 and f(o)? 4592 Let q = 237106116163124503/480690 - 493262011199. Let m = -2/2
{ "pile_set_name": "DM Mathematics" }
What is the second biggest value in 0.4, b, 1/4, i? 1/4 Let b = -0.55 - -2.25. Let z = b + -2. Let p = 13 - 9. What is the second smallest value in z, p, 11? p Let q = -40 + 52. Let n be (5/(-110))/(1/q). What is the second biggest value in n, -1, 6? n Let y = 37.24 + -38. Let l = y + 0.46. Suppose 12 = -4*m - 0*m - 3*x, 0 = m - 5*x - 20. Which is the biggest value? (a) l (b) 0.2 (c) m b Let x = 0.291 + 1.339. Let r = -1.5 + x. Let u = r + 0.07. Which is the third biggest value? (a) u (b) 1/2 (c) -8 c Let n(c) = 3*c**2 - 1. Let d be n(1). Let h be 0 + 14/6 - d. Let u = -1272/7 - -182. What is the second biggest value in u, -4/3, h? u Let k = -1.42 - -7.12. Let t = k - 5.3. What is the second smallest value in -2/7, -1/7, t? -1/7 Let i = -1954 - -1953.5. Let p = -3 - -2.8. What is the third biggest value in i, 2/3, p, -3? i Let c = 0.047 + -15.047. Let l = -15.3 - c. What is the third smallest value in l, -1/2, 0? 0 Let w = 10.2 + -6.2. Let t be (-52)/20 - (-9)/15. What is the second biggest value in t, -5, w? t Let w = -20 + 20.11. Let s = 0.001 - 0.891. Let d = s - w. What is the second biggest value in 13, d, -2/5? -2/5 Let o = 13.4 - 8.4. Let s = -5 + 5. Which is the third smallest value? (a) o (b) 1/3 (c) s (d) 2/3 d Let t = -54 - -22. Let s = t + 31.9. What is the fourth biggest value in 4, 1, s, -3/10? -3/10 Let a = -1.56 - -1.56. What is the second biggest value in -4, a, 0.4, 0.1? 0.1 Suppose 0 = -3*n + 2*p - 6, -2*n + n - 2*p - 10 = 0. Let a = 5.5 - -0.5. What is the second biggest value in 3, a, n? 3 Suppose -82*i = -11*i - 7*i - 192. Let q = -2.99 - 0.01. Which is the smallest value? (a) q (b) i (c) -5 c Let x(q) = 6*q + 40. Let c be x(-7). What is the third smallest value in c, 1, 45, 4? 4 Let d = -0.5 + 0.9. Let m = d - 5.4. Let i(v) = 3*v - 2. Let z be i(1). Which is the third biggest value? (a) 2/7 (b) m (c) z b Let l = 27 + 12. Let x = -81 + l. Let f be (1 - 2) + x/(-46). Which is the biggest value? (a) 5 (b) f (c) 0 a Let x = 186 - 261. Let m = 72 + x. Which is the second smallest value? (a) -11 (b) 0 (c) -5 (d) m c Let o = -28.82 - -28. Let u = o - -0.82. What is the second biggest value in 4, 0.2, -4, u? 0.2 Let t = -3606 + 3606.1. Let q = -1/90 - -13/90. Which is the third smallest value? (a) t (b) -2 (c) q c Let q be (99/231)/(3/(-2)). Which is the second biggest value? (a) 0.06 (b) q (c) -1 (d) 0.2 a Let v = 222 + -217. Let i = 0.7 + -0.5. Let f = i + -4.2. Which is the third biggest value? (a) 0.5 (b) v (c) f c Let t = -33 - -35.9. Let p = t - 3.4. What is the smallest value in 2, p, 5? p Let v = 9 + 10.5. Let k = v - 20. Which is the third biggest value? (a) 4 (b) k (c) 0.06 b Let y = 1263 - 1284. Which is the second biggest value? (a) y (b) 5 (c) -0.1 c Let c = -25 - -21. What is the second biggest value in -2/11, 6, -5, c? -2/11 Let t be 2/(-1)*9/(-54). Suppose -4 - 5 = -3*f. What is the second biggest value in f, 2/11, t, 39? f Let z = -8 - 41. Let d = z - -97/2. What is the second biggest value in d, -4, 2/5? d Let k = 8 + -8.2. Which is the second biggest value? (a) k (b) 55 (c) 3 c Let q = 0.512 - 0.212. Let s = -1 + 0. Which is the second smallest value? (a) s (b) q (c) 0.23 c Let x = -1.6 - -2.6. Which is the biggest value? (a) -4 (b) -0.04 (c) x c Suppose -u - 463 = 5*g, -10 + 4 = 2*u. Let h = 94 + g. Which is the third biggest value? (a) h (b) -4 (c) -5 (d) -1/5 b Let y = 70 - 39. Let f = 27 - y. Which is the second smallest value? (a) f (b) -0.2 (c) -0.5 c Let u = 41 - 40.8. Which is the biggest value? (a) 0.5 (b) 46 (c) -4 (d) u b Let i = 668 + -625. Which is the fourth biggest value? (a) i (b) -5 (c) -0.1 (d) 5 b Suppose -2*z + 20 = 3*z. Let d = -225.8 - -226. Which is the smallest value? (a) -4 (b) d (c) z a Let r = 74.5 - 75.1. Which is the third biggest value? (a) -8 (b) 5 (c) r a Let u = 6.135 - -0.965. What is the second biggest value in 4, -4, 0.1, u? 4 Suppose 3 = 4*i - 17. Suppose 132 = i*v - 23. Suppose 5*y - 4*x = -2*x - v, -3*y - 3*x - 27 = 0. Which is the second biggest value? (a) 0.5 (b) 3 (c) y a Let q = 29 - 28. Let x be 7/(126/(-4))*q. Which is the second biggest value? (a) x (b) -3 (c) 0.3 (d) -2/7 a Let k be (15/135)/((2/(-3))/2). What is the second biggest value in 2, k, 34, -0.4? 2 Let l = 9 - 9. Suppose -3*r + 0 = -3. Let x be 5/15 + (r - 0). What is the second biggest value in 4, l, x? x Let m = -0.19 + 0.24. Which is the smallest value? (a) -0.4 (b) m (c) 0.5 (d) 1/4 a Let x(g) = g**2 + 10*g + 15. Let l be x(-8). Let o be ((-1 - 1) + 3)/1. Let j = 0.4 - -0.1. What is the smallest value in o, j, l? l Let k = -0.19 - 2.81. Let j = 46.5 - 47. Which is the fourth biggest value? (a) k (b) -4 (c) -1 (d) j b Let p = 89 + -62. Let q = 25.9 - p. Let x = 6.1 + q. Which is the biggest value? (a) x (b) 0 (c) -1 a Let o = 1237 - 1236.97. Let m = -0.7 + 0.2. Which is the third smallest value? (a) -0.4 (b) o (c) 2 (d) m b Let g = 6 + -6.2. What is the fourth biggest value in 1, 2/3, -2, g? -2 Let s(o) = o**3 - 12*o**2 - o + 7. Let l be s(12). Let y = -3 - 14. Let i = 17.07 + y. Which is the third biggest value? (a) -2/3 (b) l (c) i b Suppose 7 - 3 = 4*v. Let y = 0.38 - -0.02. Which is the third smallest value? (a) -3/7 (b) y (c) v c Let t = -94.6 - -94.8. What is the fourth smallest value in 1, t, -2/165, 4? 4 Let j = -224.13 - -224. Which is the third smallest value? (a) j (b) 0 (c) 1 c Let j = -0.8 - -1. Let r be 9/6 - 12/(216/63). What is the fourth biggest value in 0, r, 3, j? r Let v = -0.08 + -3.92. Let r be 3*(3 + (5 - 7)). Let d = 2 - 2.4. What is the smallest value in d, v, r? v Suppose -133*k + 3 = -136*k. Let d = -0.06 + -1.94. Let a = 2 + 2. What is the biggest value in a, k, d? a Let d = 0.0698 - 0.1698. Let q = -3.6 - -4. Which is the third biggest value? (a) 4 (b) d (c) q b Let q be 6/(-2) - 371/(-7). Let g be q/(-56) + (-2)/(-14). Let u be ((-3)/18)/(2/(-9)). Which is the biggest value? (a) g (b) u (c) 2 c Let b = 162 - 148.9. Let x = -13 + b. Let i = 0.05 - 0.35. What is the biggest value in i, x, -0.5? x Let k = 1.86 - 2.36. What is the smallest value in k, -0.1, -39/7? -39/7 Let x = 0.098 + 0.202. What is the second biggest value in x, -1/3, -3.8? -1/3 Let v = 55 + -55.035. Let z = v + -4.965. Which is the biggest value? (a) 3 (b) 4 (c) z b Let u be ((-263)/(-5) - 2) + 1. Let d = u + -52. Let o = 210 - 1683/8. What is the second biggest value in d, o, 0? o Let n = 428.99 - 429. Which is the third biggest value? (a) 0.4 (b) 17 (c) n (d) 2/3 a Let u = 30.4 - 27. Let b = -3.1 + u. Let x = -6 - -6.1. What is the third smallest value in 0, x, b? b Let u = -757 + 756.8. Let w = 9 + -6. Which is the fourth smallest value? (a) u (b) -0.4 (c) 0.3 (d) w d Let v be -9 + 60/(-36)*-5. Which is the second biggest value? (a) -1 (b) 10.4 (c) v c Let k = 275 - 280. Which is the second smallest value? (a) -4 (b) k (c) -2/29 (d) -2 a Let s(f) = -2*f**3 - 58*f**2 - 2*f - 63. Let w be s(-29). Let q = -1/6 - -5/6. Which is the smallest value? (a) 0.4 (b) q (c) w (d) 0 c Let h = -4 + 9. Let t(w) = -w**3 + 16*w**2 - 28*w - 2. Let x be t(14). Let z be (-57)/18 + (-6)/x. Which is the third smallest value? (a) z (b) -1 (c) h c Let l = -112/3 - -38. Which is the second biggest value? (a) 0.3 (b) l (c) 9 b Let v be 0/2 - (13 - 17). Suppose v*k = 7*k. Let n = 0.4 + 0.1. What is the third biggest value in k, n, 1/9? k Let s = 0.009 - 57.009. Let f = s - -58. What is the third biggest value in 3, -0.1, f? -0.1 Suppose 19*x - 22*x = 9. What is the smallest value in 2, 5/4, -2/3, x? x Let y = -53.1 - -119.1. Which is the third biggest value? (a) 0.3 (b) 2/3 (c) y (d) 0 a Let t = -505 - -406. What is the second smallest value in t, 3, 2/7? 2/7 Let b = 0.072 + 25.428. Let m = b + -25. Let d = 10 + -5. What is the second biggest value in m, d, -3? m Let i = -2.885 - 0.115. Let s be (1/4)/((-6)/40). Which is the third smallest value? (a) i (b) s (c) -1 c Let t = 8 + -7.5. Suppose -3*h + 12 = -h. Let r be (-1 - (-10)/h) + -1. Which is the smallest value? (a) t (b) r (c) 0.2 b Let m = -1.077 - -0.077. Which is the third biggest value? (a) 0 (b) m (c) 2/7 (d) -4 b Suppo
{ "pile_set_name": "DM Mathematics" }
10*n + 8. Let p = 18 + -25. Let b be u(p). Suppose v = -2*v + b. What are the prime factors of v? 2, 3 Let g(h) = h. Let p(u) = 2*u + 3. Let i(x) = -g(x) + p(x). Let y be i(-8). List the prime factors of ((-16)/(-5))/((-2)/y). 2 Let b = -9 - -13. Let o = -3 + b. Let h = o - -2. List the prime factors of h. 3 Let q(a) = a**3 + 3*a**2 - 2*a - 2. Let n be q(-3). Let u = 13 + -8. Suppose n = -u*s + 74. List the prime factors of s. 2, 7 Let c be ((-12)/(-18))/((-1)/(-3)). Suppose 10 = -c*i, -4*j + 2*j = -4*i + 38. Let q = -18 - j. List the prime factors of q. 11 Let y be (3/(-6))/(4/64). Let f = y + 11. What are the prime factors of f? 3 Let w(r) = 1 + 4*r + 3*r - 4*r. Let f be (-12)/(-20) + 21/15. List the prime factors of w(f). 7 Let p = -41 - -67. List the prime factors of p. 2, 13 Let k(p) = -2*p**2 - 4 + p - 2*p**2 + 0*p**2 - p**3 + 0*p**2. List the prime factors of k(-5). 2 Let v(w) = -w**3 + 4*w + 9*w - 17*w**2 + 4*w**2 + 0*w - 1. What are the prime factors of v(-14)? 13 Let n = 549 + -218. List the prime factors of n. 331 Let q = -20 + 24. Suppose 0 = -4*i - 5*l + 30, 60 = 5*i - l - q*l. List the prime factors of i. 2, 5 Let m be 0*((-2)/(-4))/(-1). Let b be m - -2 - 0/2. Suppose -b*g + 6 = g. What are the prime factors of g? 2 Suppose -25*r + 30*r = 1265. List the prime factors of r. 11, 23 Suppose -5*r - 15 = 8*a - 3*a, a + 1 = -2*r. Let n(k) = 3*k**r + 14*k - 17*k + 2 - k**2. List the prime factors of n(2). 2 Suppose 2*c + 10 = 4. Suppose 27 - 3 = 4*q. Let f = q + c. What are the prime factors of f? 3 Let q be (-157)/((-1)/(3 - 2)). Suppose -8 - q = -5*b. List the prime factors of b. 3, 11 List the prime factors of (-348)/(-10)*-3*15/(-18). 3, 29 Let g = 6 - 1. Suppose 4*m - w = -m + 26, 2*m - 32 = -g*w. What are the prime factors of m? 2, 3 Let c(h) = 5*h**2 + 15*h + 11. List the prime factors of c(-6). 101 Let k be 3 + (-2 - (-48)/3). Let c = k + -6. List the prime factors of c. 11 Let p be 14*-1*2/(-7). Suppose p = c - 4. What are the prime factors of c? 2 What are the prime factors of 40 - -1*(0 - -4)? 2, 11 Let j(p) = 4*p**2 + 1. List the prime factors of j(3). 37 Let g(j) = 4*j - 5*j**2 + 7*j**2 + 0 + 6. Let x(y) = -2*y + 6. Let a be x(5). What are the prime factors of g(a)? 2, 11 Let n(x) = -x**3 - 4*x**2 - 2*x + 1. Let q be n(-4). Suppose -4*v + 10 = 2. Suppose v*k - 5 = q. What are the prime factors of k? 7 Let x = -111 + 177. Suppose -2*y - x = -4*l, 0*l - 3*y - 14 = -l. List the prime factors of l. 17 Suppose 0 = -2*f + 4*v - 1 + 13, -f + v = -4. Let h(w) = 5*w**f + w**2 + w**3 - 7 + 1 - 2*w. List the prime factors of h(-6). 2, 3 Let h = -395 + 560. List the prime factors of h. 3, 5, 11 Let j(o) = -8*o**3 + 2*o + 1. Let n be j(-1). Let z(x) = 2*x + 4. Let a be z(3). Let d = a - n. List the prime factors of d. 3 Suppose 5*x - 5 = 3*v, 4*x + 5*v - 3 = 1. Let z = -5 + x. What are the prime factors of (14/z)/((-3)/6)? 7 Let h = -6 - -6. Suppose h = 2*s - 10 - 6. What are the prime factors of s? 2 Let x(g) = -g**2 + 4*g + 7. Let u(z) = 1. Let j(l) = -2*u(l) + x(l). What are the prime factors of j(4)? 5 Let h = 10 - 7. Suppose -v + h = -4. What are the prime factors of v? 7 Let t = -12 - -20. Suppose -3*g - 30 = -4*z, 10 = 2*z + 4*g - t*g. List the prime factors of z. 3 Let c(i) = -i**2 - 6*i - 3. Suppose 4*n - 3 = -23. Let r be c(n). Suppose 0 = -3*l + 5*h + 70, 3*h + r*h - 10 = -l. List the prime factors of l. 2, 5 What are the prime factors of ((-12)/2)/((-8)/204 + 0)? 3, 17 Suppose 5*j + 6 = 21. List the prime factors of 9/(-6)*(-6)/j. 3 Suppose -4*s = s. Suppose s = -m + 2*m - 3*u - 43, 2*u = -4*m + 228. Suppose m = 5*w + 10. List the prime factors of w. 3 Let f(s) = s**2 - 9*s + 9. Let a be f(8). Let r(v) = 6*v**3 + 2*v + 3. Let k(z) = -5*z**3 - 3*z - 4. Let d(n) = 2*k(n) + 3*r(n). List the prime factors of d(a). 3 Let x = -17 - -61. What are the prime factors of x? 2, 11 Let k = 2 - 9. Let o = 6 - k. What are the prime factors of o? 13 Suppose 6 = -6*d + 9*d. What are the prime factors of 0 + 14 + 0 + d? 2 Suppose 11 = 4*z - 53. Suppose -3*u = 3*t - 21, -2 = t - 4. Suppose -d = -u*d + z. What are the prime factors of d? 2 Let w be ((-26)/(-4))/(2/(-4)). Let r(l) = -l**3 - 12*l**2 + 14*l + 16. What are the prime factors of r(w)? 3 Let g = 2 - 0. Suppose 12 = -4*k, g*t + 4*k - k = -5. List the prime factors of (-2)/(-4)*t + 4. 5 Suppose 2*k = -0 + 10. Let o be 3 - ((-4)/(-2) - -4). Let y = o + k. List the prime factors of y. 2 Suppose 0 = -4*h - 246 + 886. List the prime factors of h. 2, 5 Suppose -2*i - 4*z = -202, -i - 4*z = 13 - 120. List the prime factors of i. 5, 19 Let b = 8 - -8. Suppose -5*d - 17 = 4*x - 3*x, -x + 5*d + 23 = 0. Suppose -u + b = x*u. List the prime factors of u. 2 Let l = -45 - -29. Let v be (-1)/3 - l/12. List the prime factors of v*-2*(-1 + -1). 2 Let r(v) = v**2 - 6*v + 2. Let n be r(3). Let f = -7 - n. Let a = f + 12. What are the prime factors of a? 2, 3 Let w = -24 + 31. Let a(d) = d**3 - 7*d**2 + 3*d - 10. List the prime factors of a(w). 11 Let k = 21 + -15. Suppose a + a - k = 0. List the prime factors of a. 3 Let z = -151 + 239. Suppose 3*t + z = 2*i, 0*i - t - 80 = -2*i. What are the prime factors of i? 2, 19 Suppose -3*a + 477 = 4*s, -5*s - 109 = -3*a - 685. What are the prime factors of s? 3, 13 Let h be (-6)/(3/(-6) - -2). What are the prime factors of -1*(-4 - h) + 12? 2, 3 Suppose 0*t - 750 = -6*t. List the prime factors of t. 5 Suppose 5*q = 5*y + 170, 25 + 13 = 2*q + 4*y. Let x = -2 - -43. Let n = x - q. What are the prime factors of n? 2, 3 Let t(w) = -w**3 + 16*w**2 - 14*w + 20. Let u be t(15). Let y be (-3)/(3/4)*3. Let j = y + u. List the prime factors of j. 23 Let n be -1 + 1 + (-4 - -24). Let q(g) = g**2 - 8*g + 9. Let m be q(7). Suppose 0*r - m*r = -n. What are the prime factors of r? 2, 5 Let d = 9 + -7. Suppose -3*p + 8 = 2*j, -2*j = -j - d*p - 11. What are the prime factors of 153/21 + (-2)/j? 7 Let j = 83 - 57. What are the prime factors of j? 2, 13 Suppose -4*k - 2 - 2 = 0. Let m(w) be the second derivative of -5*w**3/3 + w. List the prime factors of m(k). 2, 5 Let y be (-48)/(-9)*3/2. Suppose 0 = -d - 3 + y. Suppose -5*k - 3*l + 97 = l, 4*k + d*l = 74. List the prime factors of k. 3, 7 Let y be -2 + 6/4*2. List the prime factors of 9 - y*(2 + -2). 3 Suppose 2*v + 5 + 5 = -h, -2*v = -2*h - 14. List the prime factors of 466/12 + h/(-48). 3, 13 List the prime factors of (-92)/12*-3 + 0. 23 Suppose 0*x = x. Let g(i) = -2 + x + 5*i + i. List the prime factors of g(2). 2, 5 Let x be 16/(-7) + (-4)/(-14). List the prime factors of (-500)/(-16) - x/(-8). 31 Let g = 21 + -18. Suppose -3*p - 18 = -3*d, -3*d - d = 3*p - g. List the prime factors of d. 3 Suppose 0 = 4*m - 12 + 4. Suppose -x + 5 = -m. List the prime factors of x. 7 Let x(q) = q**2 - 4*q - 8. Let z be x(6). Suppose -80 - 52 = -z*v. What are the prime factors of v? 3, 11 Suppose z - 17*g + 20*g - 308 = 0, 3*g = 3. What are the prime factors of z? 5, 61 Suppose 6*t - 5*t + 10 = 0. What are the prime factors of (t - -1)/((-6)/20)? 2, 3, 5 Suppose 3*y - 4 - 116 = 0. List the prime factors of y. 2, 5 Let w be 11/3 + 1/3. Suppose 3*k - 5*n + 5 = k, 4*k + w*n = 4. Suppose -l = x - k*x - 16, 0 = 4*x. What are the prime factors of l? 2 Let l = -2 - 3. Let x(y) = -3*y + 1. List the prime factors of x(l). 2 Let w = -5 - -13. What are the prime factors of w? 2 Let w be 3/((-3)/2) - -2. List the prime factors of w/2 - (-13)/1. 13 Let w be (-18)/(-15)*10/3. Suppose 0 = -5*c - w*u + 95, 6*c + 5*u - 85 = 2*c. List the prime factors of c. 3, 5 Let i = 103 + -67. List the prime factors of i. 2, 3 Suppose 0 = -3*s + 4*o + 336, 0 = -2*s - 5*o + 15 + 209. Suppose -5*z = 20, 4*z = 5*r - r - s. What are the prime factors of r? 2, 3 Let b(m) = -m**3 - 11*m**2 + 12*m + 4. What are the prime factors of b(-12)? 2 Suppose -2*j = -0*j - 312. List the prime factors of j. 2, 3, 13 Suppose -2*v + 5*j - 33 = -10, j + 1 = -v. Let n = 4 + v. Suppose -2*a + 22 + 4 = n. List the prime factors of a. 13 Let d(c) = -27*c + 1. Let q be 3/2*(-8)/12. What are the prime factors of d(q)? 2, 7 Let h = 8 - 16. Let r = h + 16. What are the prime factors of r? 2 Let h = 548 + -267. What are the prime factors of h? 281 Suppose 0 = r - 4*r - 4*j + 4, 2*r + 4*j - 4 =
{ "pile_set_name": "DM Mathematics" }
2*d**2 What is the second derivative of -960230*p**4 + 14*p + 4374? -11522760*p**2 Find the first derivative of 240993*q**3 - 322382 wrt q. 722979*q**2 What is the derivative of -300290*u - 212142 wrt u? -300290 Find the second derivative of 3559132*y**3 - 2830323*y + 2 wrt y. 21354792*y Find the first derivative of -254844*j**2 - 1157069 wrt j. -509688*j Find the third derivative of 2*w**6 - 22216*w**4 - 4*w**3 + 130*w**2 + 87*w + 1. 240*w**3 - 533184*w - 24 What is the first derivative of -b**2*s + 4*b**2 + 64788*b*s + 981*b + 7 wrt s? -b**2 + 64788*b Find the third derivative of -28625*w**5 + 2*w**3 - 64*w**2 + 169*w - 2. -1717500*w**2 + 12 What is the first derivative of -350445*s + 167406 wrt s? -350445 What is the third derivative of -116*c**3*u**3*y**3 - c**3*u - 9*c**3*y**3 - 2*c**2*u*y**3 + 264*c*u**4*y + 4*c*u**2*y - c*y**3 wrt u? -696*c**3*y**3 + 6336*c*u*y Find the second derivative of -18*a**4 + 5*a**3 + a**2 - 34773*a. -216*a**2 + 30*a + 2 What is the third derivative of -389400*c**3*m**2 - 99*c**2*m - c*m**2 + c*m - 7*c + 2*m wrt c? -2336400*m**2 What is the first derivative of 115*j**2*t + 757*j**2 - 3*j + 414*t - 11 wrt t? 115*j**2 + 414 What is the second derivative of 68*w**5 - 195*w**4 + 10438*w wrt w? 1360*w**3 - 2340*w**2 What is the third derivative of 525096*n**6 - 91180*n**2 wrt n? 63011520*n**3 What is the second derivative of n**4 - n**3 + 111567*n**2 - 6276*n + 275 wrt n? 12*n**2 - 6*n + 223134 Find the third derivative of 7086*r**5 + 4*r**3 - 23855*r**2 + 2 wrt r. 425160*r**2 + 24 What is the derivative of 122543*w**2 + 776909 wrt w? 245086*w Find the second derivative of 3*c**3*r**2 - 87*c**3*r - 4*c**2 - 2*c*r - 23*c - 5846*r**2 wrt r. 6*c**3 - 11692 What is the second derivative of 273*j**2*s**3*u + 30*j**2*s**2*u + 4*j*s**3*u - 15*j*s**2 + 3*j - 6*s**3*u wrt j? 546*s**3*u + 60*s**2*u Find the third derivative of -646*n**3*s**3 + 31*n**3*u**2 - 13*n**2*s**3*u**2 + n*s**3*u**2 - 2*n*s**3*u + 673*s**3*u wrt n. -3876*s**3 + 186*u**2 What is the first derivative of -334725*j + 33570? -334725 What is the second derivative of -5379*k**2*v**3 - k**2*v + 1855*k**2 - 79*k*v**3 - 4*v - 68 wrt v? -32274*k**2*v - 474*k*v What is the derivative of -38741*g + 14048 wrt g? -38741 Find the third derivative of 519010*s**3 - 15349*s**2 - 4*s. 3114060 What is the second derivative of -2*a**4 - 5*a**3 - 1196*a**2 - 6*a + 6853? -24*a**2 - 30*a - 2392 Find the second derivative of 58187*q**2 + 6*q - 4625. 116374 What is the first derivative of -25*w**2 + 3514*w + 1646086? -50*w + 3514 What is the first derivative of 1794476*d*j**3*k + d*j**3 + d*k - d - 65*k + 58 wrt j? 5383428*d*j**2*k + 3*d*j**2 What is the second derivative of -495353*b**3 - 30*b + 5577? -2972118*b Find the second derivative of 536943*w**2 + 893268*w wrt w. 1073886 What is the third derivative of -157*l**3*q + 21*l**3 - 3*l**2*q - 2*l**2 + 408*q wrt l? -942*q + 126 What is the second derivative of 2*b*x**3 - b*x**2 + 2*b*x - 20*x**3 - 96*x**2 + 39909 wrt x? 12*b*x - 2*b - 120*x - 192 What is the third derivative of -868061*c**6 - 14*c**2 + 55121? -104167320*c**3 What is the second derivative of 6*f**4 + 12742*f**3 + 2*f**2 - 454903*f? 72*f**2 + 76452*f + 4 Differentiate -91597*s**2 + 7237 with respect to s. -183194*s Find the third derivative of -307250*f**3 + 8*f**2 - 24*f + 84 wrt f. -1843500 Find the third derivative of 12155*t**6 - 13*t**3 - 3632156*t**2. 1458600*t**3 - 78 What is the second derivative of -m**2*o**3 + 67*m**2*o*v**2 - 371*m*o**3*v + 85*m*o*v + o**3*v**2 + 67*o*v**2 wrt v? 134*m**2*o + 2*o**3 + 134*o What is the third derivative of 4*d**5 - 1253*d**4 + d**3 + 6386*d**2 + 3*d? 240*d**2 - 30072*d + 6 What is the third derivative of -314*g**6 + g**4 - 76*g**2 - 43*g wrt g? -37680*g**3 + 24*g Differentiate 429*a*p*u*z - 39*a*u*z - 2*a*z + a + p*u*z - z wrt p. 429*a*u*z + u*z Differentiate 1799951*d**2 + 94378 with respect to d. 3599902*d Differentiate -177608*y**4 - 100435 with respect to y. -710432*y**3 What is the second derivative of -a*i**3 + 107*a*i**2 + 16*a*i - 9*a + 25*i**3 + 7*i**2 + 151*i wrt i? -6*a*i + 214*a + 150*i + 14 What is the third derivative of 2*g**5 - 22*g**4 - 663*g**3 - 869*g**2 - 19 wrt g? 120*g**2 - 528*g - 3978 Find the second derivative of 23*g**3*r**3*s + 3*g**3*s - g**2*r*s - 1860*g*r**3*s - 2*g*r - g + 8*r*s wrt g. 138*g*r**3*s + 18*g*s - 2*r*s What is the derivative of 932*d**2 - 3*d - 36199 wrt d? 1864*d - 3 What is the second derivative of -1108079*o**5 + 2166*o - 147 wrt o? -22161580*o**3 Find the second derivative of -1281*d**3*u*y**2 - 3*d**3*u + 3*d**3*y**3 + 56*d**3 - 10*u*y wrt y. -2562*d**3*u + 18*d**3*y Find the second derivative of -535714*t**4 + t**2 + 145739*t - 4. -6428568*t**2 + 2 What is the second derivative of -3*i**3*o**2 - 82*i**3 - 381*i**2*o*y - 8*i*o*y + 6*i - 3*o**2*y - 174*y wrt i? -18*i*o**2 - 492*i - 762*o*y Find the first derivative of 1560526*x + 1789833 wrt x. 1560526 Find the third derivative of 74*m*p**3*r**2 + m*p**2*r**2 - 2*m*p*r + 92*p**3*r**2 - 15*p**2 - 806*r**2 wrt p. 444*m*r**2 + 552*r**2 Find the third derivative of -8521*i**3 + 2166*i**2 + 24*i. -51126 Differentiate -849*k**2*m - 11353*k**2 - 9*k*m**2 - k*m + 2*k with respect to m. -849*k**2 - 18*k*m - k Find the second derivative of -75*v*w**2 + 4*v + 14251*w**2 - 12686*w - 3 wrt w. -150*v + 28502 Find the third derivative of -21782*c**3 - 13*c**2 - 32*c - 1. -130692 What is the third derivative of 5*s**6*v - 102963*s**6 + 5*s**2*v + 88276*v wrt s? 600*s**3*v - 12355560*s**3 Find the third derivative of -512*p**5 + 26*p**4 + 2*p**2 + 792*p. -30720*p**2 + 624*p What is the second derivative of 2*j**3*n - 61020*j**2*n - 2*j*n - 2*j + 13*n + 163 wrt j? 12*j*n - 122040*n What is the third derivative of 39231*v**3*x + 7*v**2*x - 8*v**2 + 22*v*x + 2 wrt v? 235386*x What is the third derivative of 15*b**3*s + 6*b**3 + 448*b**2*s - 272*b*s - b + s wrt b? 90*s + 36 Find the first derivative of 2293*z**4 - 3*z**3 + 12*z + 1798221. 9172*z**3 - 9*z**2 + 12 What is the second derivative of -1540*m**3 - 13*m**2 + 2541*m + 5? -9240*m - 26 Differentiate -1930*m**2 + 233*m - 4051190 wrt m. -3860*m + 233 What is the derivative of -b**3*u - 455*b**3 - 2*b**2*f*i - 104336*b*f*i*u + f*i - 2*f*u - 23*f wrt u? -b**3 - 104336*b*f*i - 2*f What is the second derivative of -10310*j**5 - 6*j**3 - 53971*j wrt j? -206200*j**3 - 36*j What is the derivative of -2*u*w*z - 2*u*w - 1194*u*z - 12*u - 2*w*z - 86*w - 73*z wrt u? -2*w*z - 2*w - 1194*z - 12 What is the derivative of -790648*p - 1394315 wrt p? -790648 Find the third derivative of -23*o**5 + o**4 - 106*o**3 + 3*o**2 + 23*o - 439 wrt o. -1380*o**2 + 24*o - 636 What is the first derivative of 4361355*y + 1449130? 4361355 What is the derivative of -100333*c*n + 13467*n + 2 wrt c? -100333*n Differentiate 132069*a**4 - 311382 with respect to a. 528276*a**3 What is the third derivative of -3*g**6 - 13709*g**5 + 1473*g**2 - g - 2 wrt g? -360*g**3 - 822540*g**2 What is the derivative of -10*i**4 + 1094*i**3 + 213500? -40*i**3 + 3282*i**2 Find the third derivative of 37710*k**3 - k**2 - 490*k + 40. 226260 Find the first derivative of -234051*h**3*j - h - 2684658*j wrt h. -702153*h**2*j - 1 Find the third derivative of -175*m**4*w**2 - 356*m**4*w - m**2 + 67*m*w**2 + w**2 - 203 wrt m. -4200*m*w**2 - 8544*m*w What is the first derivative of 30152*u + 111055 wrt u? 30152 What is the third derivative of -24*f**3*k**3*q**3 - 1745*f**3*k**3 + 2*f**3*k**2*q**2 - 2*f*k**2*q**3 - 192*q**3 - 5*q wrt k? -144*f**3*q**3 - 10470*f**3 What is the first derivative of -3*n**2 - 4897*n + 974584? -6*n - 4897 Find the third derivative of -114408*a**3*p + 135734*a**2*p - a wrt a. -686448*p What is the third derivative of 3724*c**3 + 7939*c**2? 22344 Find the second derivative of 55410*j**2 - 29125*j. 110820 What is the first derivative of -526343*p + 680288? -526343 What is the second derivative of -2*i*n**3 + 197*i*n**2 - 488*i*n + 55*n**2 + 52*n wrt n? -12*i*n + 394*i + 110 Differentiate 3*v**3 + 9963*v**2 + 2*v - 414492 wrt v. 9*v**2 + 19926*v + 2 What is the third derivative of -d**3*k**3 - 20*d**3*k + 3*d**3 + d**2*k**3 - 3*d**2 + 608*d*k**2 + 107274*k**3 wrt k? -6*d**3 + 6*d**2 + 643644 Differentiate 37980*n**2 - 2373
{ "pile_set_name": "DM Mathematics" }
- 4/13. 2*(j - 1)**2*(5*j - 2)/13 Let f(n) be the third derivative of n**7/350 - n**6/100 + n**4/20 - n**3/10 + 12*n**2. Factor f(y). 3*(y - 1)**3*(y + 1)/5 Let m = 1 + 2. Let h(l) be the first derivative of -1/2*l**4 + 0*l + 2 + 0*l**2 - 2/3*l**m + 1/3*l**6 + 2/5*l**5. Factor h(t). 2*t**2*(t - 1)*(t + 1)**2 Let g = -2/37 - -53/296. Let z(l) be the first derivative of -g*l**4 - 2 + 0*l**3 + 3/4*l**2 - l. What is x in z(x) = 0? -2, 1 Determine i so that 0*i**2 - 1/4*i**3 + 1/2*i**4 + 0*i + 0 - 1/4*i**5 = 0. 0, 1 Let r(g) be the first derivative of -3*g**5/5 + 3*g**4/4 + 2*g**3 + 28. Factor r(f). -3*f**2*(f - 2)*(f + 1) Let d(f) be the second derivative of -1/3*f**2 + 2/9*f**4 + f + 0 + 1/20*f**5 + 1/6*f**3. Factor d(w). (w + 1)*(w + 2)*(3*w - 1)/3 Let w(t) be the third derivative of 0 + 0*t**3 + 1/72*t**4 - 1/90*t**5 + 1/360*t**6 + t**2 + 0*t. Factor w(l). l*(l - 1)**2/3 Let i(q) = -3*q**5 - 18*q**4 + 48*q**2 - 45*q + 12. Let m(u) = -7*u**5 - 37*u**4 + 97*u**2 - 89*u + 23. Let n(z) = -13*i(z) + 6*m(z). Factor n(f). -3*(f - 3)*(f - 1)**3*(f + 2) Suppose -5*a - 36 = -11. Let d(v) = -v**2 + 4*v - 5. Let c(q) = -2*q + 2. Let t(p) = a*c(p) - 2*d(p). Find b such that t(b) = 0. -1, 0 What is b in 2*b - 2*b - 3*b**2 + 3*b + 5*b**3 - 5*b = 0? -2/5, 0, 1 Let w = -6 + 9. Factor -3*h**2 + 3*h + 0*h + 3*h**2 - w*h**3. -3*h*(h - 1)*(h + 1) Let d(k) be the first derivative of -2*k**4/3 - 2*k**3/9 + 6. Factor d(g). -2*g**2*(4*g + 1)/3 Let j(f) be the first derivative of -f**8/840 - f**7/210 - f**6/180 - 2*f**3 + 7. Let p(x) be the third derivative of j(x). Let p(y) = 0. What is y? -1, 0 Let l = 1621/12 + -135. Let k(d) be the second derivative of d + l*d**4 + 0*d**3 - 1/30*d**6 + 0 + 0*d**5 + 0*d**2. Determine x so that k(x) = 0. -1, 0, 1 Let j(r) be the first derivative of r**4/10 - 8*r**3/5 + 36*r**2/5 + 10. Suppose j(d) = 0. Calculate d. 0, 6 Let z(b) be the first derivative of 3*b**5/80 + b**4/24 - b**3/24 + 8*b - 6. Let j(p) be the first derivative of z(p). Determine r, given that j(r) = 0. -1, 0, 1/3 Let t(m) be the second derivative of -m**5/130 - m**4/26 - 5*m. Let t(b) = 0. Calculate b. -3, 0 Factor 0 + g + 1/2*g**3 - 3/2*g**2. g*(g - 2)*(g - 1)/2 Let v(o) be the first derivative of -o**5/20 - o**4/4 + 2*o**2 + 4. Let m(q) be the second derivative of v(q). Factor m(f). -3*f*(f + 2) Suppose z = -1, -z - 3*z = 3*v + 4. Suppose -15*n = -16 - 14. Let -2/7*a**3 - 4/7*a**4 + 0 + v*a + 2/7*a**n = 0. Calculate a. -1, 0, 1/2 Factor 0*a + 0 + 1/4*a**3 + 0*a**4 - 1/4*a**5 + 0*a**2. -a**3*(a - 1)*(a + 1)/4 Factor 15*q - 7*q**2 + 3*q**2 - q**2 + 2 - 12. -5*(q - 2)*(q - 1) Let l(x) be the third derivative of x**7/1995 - x**6/1140 - x**5/285 + x**2. Factor l(p). 2*p**2*(p - 2)*(p + 1)/19 Let v be 434/200 - (-1 + 3). Let x = v - -2/25. Let x*n**2 + 1/4*n + 0 = 0. What is n? -1, 0 Let k = 1441/12 + -120. Let x(g) be the third derivative of -1/96*g**4 + 0 - 1/240*g**5 + 0*g + k*g**3 + 4*g**2. Solve x(y) = 0 for y. -2, 1 Let a be 0/2 + (5 - (-36)/(-8)). Suppose -a*v**2 + 0 + 1/2*v**4 + 0*v + 0*v**3 = 0. What is v? -1, 0, 1 Suppose z - 3 = 5. Suppose -z*s + 28 = -s. Solve -2/5 - 2*u**s + 4/5*u**3 + 12/5*u**2 + 2/5*u - 6/5*u**5 = 0 for u. -1, 1/3, 1 Let b(x) be the first derivative of 4/15*x**3 - 2/5*x + 0*x**4 + 1 - 2/25*x**5 + 0*x**2. Suppose b(n) = 0. Calculate n. -1, 1 Let w = -3 + 5. Suppose -20 = 5*h, 5*n + 0*h - 7 = -w*h. Solve -3 - 21*q + 2*q**3 - 13 - 4*q**n - 3*q - 12*q**2 = 0 for q. -2 Let o(h) be the first derivative of -1/5*h**5 + 0*h + h**4 + h**2 - 5/3*h**3 + 2. Factor o(r). -r*(r - 2)*(r - 1)**2 Let j be (-4)/3*((-552)/(-64) + -9). Determine a, given that j*a**2 + 0 - 1/2*a = 0. 0, 1 Suppose -3*f = 3 + 9. Let u = -4 - f. Factor u*v**4 + v**4 - v**3 + 2*v**3. v**3*(v + 1) Let d(w) be the first derivative of 0*w**2 - 4 - 3/16*w**4 + 1/12*w**3 + 0*w. Factor d(m). -m**2*(3*m - 1)/4 Let i(d) = 20*d - 397. Let f be i(20). Find k such that 1/4*k**f + 3/8*k**2 + 0 - 1/4*k = 0. -2, 0, 1/2 Let w(o) be the second derivative of o**4/4 - o**3/2 + 11*o - 2. Factor w(z). 3*z*(z - 1) Let d = 359/112 + -33/16. Factor -2/7*j**2 - 8/7 + d*j. -2*(j - 2)**2/7 Factor -107*y - 2 - 103*y - y**2 + 213*y. -(y - 2)*(y - 1) Let g(u) = 11*u**2 - 142*u - 11. Let j be g(13). What is w in 0 - 8/3*w**j + 8/3*w + 8/3*w**4 - 2/3*w**5 - 2*w**3 = 0? -1, 0, 1, 2 Let z(i) be the second derivative of -1/20*i**5 - 3*i + 5/48*i**4 + 0*i**2 + 1/120*i**6 - 1/12*i**3 + 0. Let z(o) = 0. Calculate o. 0, 1, 2 Let a(h) be the first derivative of h**5 - 5*h**4 + 10*h**3/3 + 10*h**2 - 15*h - 15. Factor a(z). 5*(z - 3)*(z - 1)**2*(z + 1) Let i(x) be the third derivative of -x**8/1344 + x**6/120 - x**5/120 - x**4/32 + x**3/12 - 56*x**2. Solve i(l) = 0. -2, -1, 1 Let r(h) be the second derivative of h**5/60 + 2*h**4/9 + 7*h**3/6 + 3*h**2 - 6*h. Factor r(g). (g + 2)*(g + 3)**2/3 Let q = 7 + -5. Suppose 2*g**3 + g**2 + q - g**3 - 2 = 0. Calculate g. -1, 0 Let m(t) be the second derivative of t**7/13860 - t**6/1980 + t**4/4 - 4*t. Let i(l) be the third derivative of m(l). Let i(x) = 0. Calculate x. 0, 2 Let q(k) = 2*k - 4. Let w be q(5). Factor w*i**2 + 0*i**2 - 2*i**2 + 8*i. 4*i*(i + 2) Let u = -34 - -36. Let n(v) be the first derivative of -1 - 1/2*v**u + 0*v - 1/3*v**3. Solve n(d) = 0 for d. -1, 0 Let w(s) be the first derivative of 10 + 4/3*s**2 - 2/3*s**4 + 2/3*s**3 - 8/3*s + 2/15*s**5. Let w(h) = 0. Calculate h. -1, 1, 2 Suppose -3*n**3 + 3 - 25*n**2 - 28*n**2 + 50*n**2 + 3*n = 0. What is n? -1, 1 Let g be (-5)/(-50)*-7 - -1. Let u(o) be the first derivative of g*o**5 + 9/8*o**4 - 2 + 1/2*o**3 - 9/4*o**2 - 3*o. Factor u(m). 3*(m - 1)*(m + 1)**2*(m + 2)/2 Let h be ((1 - 0) + -4)*1. Let q be -1 + (h/(-3) - -2). Let -18 - 2*m + m - 11*m - 2*m**q = 0. Calculate m. -3 Suppose 13 = -3*c - q, -4*q = 2*c - c - 14. Let i be c*(1 - 4/3). Factor -16/5*z - 2*z**i - 2/5*z**3 - 8/5. -2*(z + 1)*(z + 2)**2/5 Let u(g) be the third derivative of -1/30*g**5 - 5*g**2 - 1/315*g**7 + 0 - 1/60*g**6 + 0*g + 0*g**3 - 1/36*g**4. Factor u(s). -2*s*(s + 1)**3/3 Let k(n) = n**2 - 11*n + 22. Let f be k(9). Let z(v) be the second derivative of 0*v**2 + 3*v + 0 - 1/30*v**f + 1/15*v**3. Factor z(h). -2*h*(h - 1)/5 Let s(f) = -f + 11. Let r be s(6). Let w = r + -5. Find m, given that m**4 - 2*m**3 + 4*m**2 - 2*m**2 + w*m**3 + 5*m**3 = 0. -2, -1, 0 Let d(m) be the first derivative of m**6/3 + 2*m**5 + 3*m**4/2 - 10*m**3/3 - 4*m**2 + 52. Find r such that d(r) = 0. -4, -1, 0, 1 Let y(x) be the first derivative of x**8/5880 - x**6/1260 - 2*x**3 + 4. Let g(j) be the third derivative of y(j). Factor g(i). 2*i**2*(i - 1)*(i + 1)/7 Solve 19*t**2 + 26*t + 6*t**2 - 4*t**4 - 66*t + 3*t**2 + 16*t**3 = 0 for t. -2, 0, 1, 5 Let h be (20/(-6))/(4/(-6)). Let o(k) be the third derivative of 0*k - 1/60*k**4 + 0 + 0*k**3 - 1/150*k**h + 2*k**2. Factor o(c). -2*c*(c + 1)/5 Suppose -s = 4*s - 10. Let h(t) be the first derivative of 4/3*t**3 - 1/6*t**6 + 3 - 1/2*t**s + 4/5*t**5 + 0*t - 3/2*t**4. Factor h(l). -l*(l - 1)**4 Let y(h) = h**3 + h**2 - h - 11. Let u be y(0). Let f = -9 - u. Determine v so that 2/3*v**4 + 0*v + 0*v**3 - 4/3*v**f + 2/3 = 0. -1, 1 Let o = 57/356 - -8/89. Factor -1/2*g**2 + 1/4*g + 0 + o*g**3. g*(g - 1)**2/4 Factor -9/2 - 121/2*f**2 + 33*f. -(11*f - 3)**2/2 Let s(f) be the second derivative of -f**6/10 + f**4/4 - 3*f. Let s(y) = 0. What is y? -1, 0, 1 Factor 3*p + 0*p**2 + 3/2 - 3/2*p**4 - 3*p**3. -3*(p - 1)*(p + 1)**3/2 Let a(r) be the first derivative of 0*r + 4 - 8/3*r**3 + r**4 + 2*r**2. Factor a(d). 4*d*(d - 1)**2 Let s(f) be the third derivative of -f**5/240 - f**4/24 - f**3/8 + 25*f**2. Factor s(c). -(c + 1)*(c + 3)/4 Let s(q) be the first derivative of q**4/30 + q**3/5 + 2*q**2/5 + 2*q - 2. Let w(b) be the first derivative of s(b). Factor w(l). 2*(l + 1)*(l + 2)/5 Solve 5*i**3 - 5*i**3 - 5*i**4 - 15*i**3 - 10*i**2 = 0 for i. -2, -1, 0 Suppose -6*d + 3*f + 7 = -2*d, -4*f = 3*d + 1. Let a = d - -1. Let -14*z**4 - z**a + z**2 + 15*z**4 = 0. What is z? 0 Let w be (2 + 2 + -3)*0. Suppose w*i + 2*i - 10 = 0. Let -2*m**3 + i*m**3 - m**3 = 0. What is m? 0 Let b(g) be the third derivative of g**7/105 - g**5/10 + g**4/6 - 7*g**2. Factor b(u). 2*u*(u - 1)**2*(u + 2) Let w(z) be the first derivative of 0*z - 1/2*z**4 + 2/5*z**5 - 4/3*z**
{ "pile_set_name": "DM Mathematics" }
0210011200 (base 3) to base 9 -323150 Convert -1251911 (base 12) to base 15. -4adc2a Convert -b6851 (base 15) to base 4. -2031112321 -10100000100110010010101 (base 2) to base 16 -504c95 Convert -13257264 (base 9) to base 11. -3762802 What is 9b8174 (base 13) in base 2? 1110000000111000110000 What is -76d87 (base 16) in base 11? -302808 -11114 (base 11) to base 14 -5c28 What is -20145501 (base 6) in base 12? -238291 What is 41213565 (base 7) in base 10? 3449157 What is 12208 (base 15) in base 9? 87288 Convert 49177f (base 16) to base 14. 8c9971 What is 2111220122 (base 3) in base 16? c164 What is -61798 (base 11) in base 12? -441ab 7b34 (base 15) to base 3 1022212111 Convert 121200010221 (base 3) to base 4. 1100013130 Convert -250605 (base 8) to base 10. -86405 Convert 2011003 (base 6) to base 5. 11013302 -3655160 (base 7) to base 12 -1a6728 43335417 (base 8) to base 12 313b327 Convert 51a88 (base 16) to base 6. 11100252 What is -570824 (base 12) in base 15? -1c6ee7 Convert 300331133020 (base 4) to base 7. 214044061 What is 197c7b7 (base 13) in base 5? 4122133240 What is -213414000 (base 5) in base 2? -11100000100101000011 Convert 8023328 (base 10) to base 2. 11110100110110100100000 What is 6467a3 (base 12) in base 2? 110000011100011101011 What is 7687819 (base 10) in base 14? 104197d What is -182130 (base 10) in base 11? -114923 Convert -3023113 (base 4) to base 13. -5c02 2331204230 (base 5) to base 10 5334940 Convert -32142443 (base 8) to base 15. -909676 10102001010120 (base 3) to base 15 25bbc6 Convert -305130 (base 7) to base 2. -1100101111101110 -10012220211 (base 3) to base 12 -30804 110344104 (base 5) to base 16 75782 Convert 22114 (base 14) to base 3. 11012012211 What is a146a2 (base 13) in base 7? 43613046 1100000001000000010 (base 2) to base 5 100044410 Convert 30725 (base 13) to base 5. 10240042 Convert -497555 (base 10) to base 5. -111410210 -6235551 (base 8) to base 13 -45b889 What is -9a7c0b (base 13) in base 14? -6ac333 11478 (base 10) to base 6 125050 Convert -120869 (base 11) to base 7. -1424643 343661 (base 8) to base 5 12213112 -93aa808 (base 11) to base 10 -16587898 What is -421604 (base 7) in base 2? -10001101111011111 Convert 49660 (base 11) to base 13. 26614 Convert -344445 (base 11) to base 7. -4440266 2445456 (base 8) to base 6 22243102 What is 111011101101000110 (base 2) in base 12? b9632 What is -a519 (base 13) in base 10? -22837 What is a259a7 (base 13) in base 14? 706767 What is 100100111101001011 (base 2) in base 7? 1200213 What is 10210031212 (base 4) in base 2? 100100100001101100110 What is 1313013212 (base 4) in base 11? 303635 What is 434505 (base 7) in base 6? 1344033 What is -1212011200012 (base 3) in base 12? -3b7605 What is -333516 (base 7) in base 12? -2a113 Convert -1a68713 (base 11) to base 7. -41406634 What is 461216 (base 7) in base 3? 11011121022 What is -22210202120 (base 3) in base 6? -3414240 Convert 61695 (base 10) to base 5. 3433240 23b535b (base 13) to base 8 52242364 58a3 (base 14) to base 16 3c47 What is -5c46 (base 15) in base 12? -b449 Convert 1001001001011110010100 (base 2) to base 16. 249794 What is 3a04 (base 16) in base 14? 55ac What is -401130253 (base 6) in base 7? -111413460 -2513223 (base 6) to base 10 -134223 -735537 (base 8) to base 6 -5124143 Convert 1a3801 (base 15) to base 4. 10313321233 Convert -4125535 (base 6) to base 3. -101001222112 28fbf3 (base 16) to base 8 12175763 What is 213411 (base 6) in base 8? 42357 Convert 10221021111 (base 3) to base 8. 227244 Convert 222344221 (base 5) to base 7. 11224413 Convert -2847a8b (base 12) to base 7. -125334146 1010011000101001111 (base 2) to base 13 bbb82 What is 61b768 (base 15) in base 12? 1680575 Convert 209256 (base 10) to base 8. 630550 -108a26 (base 14) to base 8 -2111152 Convert -467382 (base 11) to base 13. -1cc861 -bb70 (base 16) to base 7 -256616 What is 767e2 (base 15) in base 3? 201010100012 Convert 415016 (base 9) to base 6. 5140453 Convert 2312232220 (base 4) to base 14. 156a92 Convert -a57a44 (base 13) to base 2. -1110110001100001011100 What is -21151403 (base 8) in base 10? -4510467 -92195 (base 12) to base 10 -190337 Convert -1324a (base 13) to base 11. -24790 1301122224 (base 5) to base 12 1078256 What is -42310400 (base 5) in base 7? -3002430 52043a9 (base 11) to base 10 9185713 -4301314441 (base 5) to base 7 -136406014 What is -16630023 (base 7) in base 14? -308a83 Convert 26a37 (base 14) to base 15. 1d38a Convert 125334053 (base 7) to base 5. 4030343131 Convert -62bcc1 (base 16) to base 14. -c06277 What is 52bc77 (base 14) in base 9? 5234847 What is 44244032 (base 5) in base 10? 384267 263821 (base 9) to base 16 2723e 200012120222 (base 3) to base 11 225281 2015110 (base 6) to base 14 26c5c 2111202122211 (base 3) to base 11 831136 -10010101111101010011101 (base 2) to base 12 -178b791 Convert 311300301231 (base 4) to base 15. 1385c66 What is -57474562 (base 8) in base 2? -101111100111100101110010 What is 322211012133 (base 4) in base 3? 1001220011220120 Convert -77216 (base 15) to base 6. -12040103 54687 (base 10) to base 9 83013 Convert 210122020 (base 3) to base 7. 63663 Convert -20510414 (base 7) to base 4. -12213101201 -2302200323 (base 4) to base 15 -e69b5 Convert 96ae9b (base 15) to base 16. 6d7c03 2200101221 (base 3) to base 5 3142113 What is -ba61a1 (base 12) in base 3? -12120010200211 What is -61eb17 (base 15) in base 14? -89303c Convert 265251 (base 14) to base 4. 11002112013 -1aa4629 (base 11) to base 9 -6576451 437a1 (base 14) to base 12 7a695 Convert 348578 (base 12) to base 10. 844076 What is -1100110111001101011 (base 2) in base 9? -712144 Convert -2b529 (base 14) to base 16. -1a601 What is -45a206 (base 11) in base 8? -2623527 Convert 85289 (base 11) to base 2. 11110010011011010 -29ad0 (base 14) to base 7 -611150 What is -21462 (base 7) in base 2? -1010100001001 Convert 1202101121 (base 3) to base 15. a384 What is 70c617 (base 16) in base 14? da55c3 11033321313 (base 4) to base 5 323011423 Convert -32100320132 (base 4) to base 3. -21000222011122 What is -a01447 (base 13) in base 12? -12b2472 -201110201 (base 4) to base 12 -66b95 Convert -184375 (base 9) to base 15. -2400e Convert 12011232112 (base 4) to base 13. 43b781 Convert -8351651 (base 10) to base 3. -120201022022102 Convert -db12a9 (base 14) to base 9. -14854887 What is 5b4529 (base 12) in base 13? 3ca7c1 Convert -210104513 (base 6) to base 12. -127b139 Convert 1b01b82 (base 13) to base 2. 100010000000100011111010 Convert -101001010010111010100101 (base 2) to base 6. -1024005301 Convert -1410212110 (base 5) to base 4. -31233020021 What is 161568 (base 9) in base 2? 11000010100011011 77ba0 (base 12) to base 10 158952 15917 (base 10) to base 7 64256 What is 221506 (base 7) in base 16? 9862 -156ba (base 14) to base 9 -81317 Convert -55377 (base 11) to base 4. -103212303 -44928 (base 13) to base 8 -363253 Convert -5b37c (base 14) to base 12. -a9042 What is -174c20 (base 15) in base 3? -2010102001010 What is 339a985 (base 12) in base 6? 552222245 What is b7b36 (base 12) in base 8? 730232 50350323 (base 6) to base 11 8970a7 What is 342103003 (base 6) in base 15? 839da6 Convert 547032 (base 13) to base 2. 111100100111001010001 -6bb28 (base 14) to base 10 -262872 What is 2033aa (base 11) in base 7? 2530060 Convert -1001101101111010000 (base 2) to base 14. -84080 -168b59 (base 12) to base 3 -201202020020 40221221 (base 6) to base 8 4257015 What is 113224 (base 6) in base 3? 111110021 Convert 13123030322 (base 4) to base 15. 286abb Convert b44db0 (base 14) to base 15. 802756 Convert -35ccb (base 15) to base 16. -29e79 What is 6316243 (base 8) in base 3? 10011021110122 -1a4750 (base 16) to base 11 -a769aa 804724 (base 13) to base 10 2980345 What is 1219dc (base 14) in base 12? 25a512 What is -25199 (base 16) in base 5? -14330321 What is -943c9 (base 13) in base 6? -5413501 What is -518062 (base 9) in base 2? -1001011000111101110 1000100111012 (base 3) to base 8 2033366 What is 110110011100011110000111 (base 2) in base 15? 13bdccb -253322 (base 7) to base 6 -1000415 What is 100111110111110010 (base 2) in base 11? 101778 What is -6221211 (base 7) in base 14? -1555b1 What is -452213 (base 8) in base 14? -3d923 Convert -23520 (base 6) to base 7. -13002
{ "pile_set_name": "DM Mathematics" }
109547. 801752752 Calculate the common denominator of 163/702 and 5/742482. 2227446 Calculate the smallest common multiple of 4385 and 86766872. 433834360 Find the common denominator of 131/110 and -97/40567670. 40567670 Find the common denominator of -143/412326 and 17/144. 3298608 What is the lowest common multiple of 8 and 1231548? 2463096 Calculate the least common multiple of 44264 and 827200. 416081600 Calculate the least common multiple of 4743255 and 4125. 118581375 Calculate the lowest common multiple of 55 and 349488986. 1747444930 What is the smallest common multiple of 5676966 and 597? 1129716234 Calculate the lowest common multiple of 31382420 and 18829452. 94147260 Find the common denominator of 151/6012 and -21/20155564. 181400076 Find the common denominator of -71/5775 and 37/544. 3141600 What is the smallest common multiple of 1529184 and 3058368? 3058368 Calculate the common denominator of -21/3632 and -31/8440768. 8440768 What is the common denominator of 89/2311568 and -37/1547925? 173367600 Calculate the common denominator of 47/4 and 5/2786102. 5572204 What is the smallest common multiple of 9 and 1150831? 10357479 What is the least common multiple of 438 and 3481224? 3481224 What is the lowest common multiple of 14776925 and 7709700? 177323100 Calculate the lowest common multiple of 785565 and 9522. 1571130 What is the common denominator of 83/206892 and 5/376? 19447848 Calculate the common denominator of -61/44686950 and 13/30. 44686950 What is the common denominator of 3/743716 and -37/8058? 176260692 What is the common denominator of -17/56010 and -4/11756499? 117564990 Calculate the least common multiple of 91850 and 32560. 27187600 Calculate the lowest common multiple of 94955 and 140. 379820 What is the lowest common multiple of 289630 and 1500810? 16508910 Calculate the lowest common multiple of 243792 and 3047400. 6094800 What is the least common multiple of 68709108 and 104? 137418216 What is the lowest common multiple of 7730798 and 260? 1005003740 What is the common denominator of -47/244520 and -3/80630470? 322521880 Calculate the smallest common multiple of 280 and 4432624. 22163120 Calculate the common denominator of 3/2 and 17/1044742. 1044742 Find the common denominator of -11/6 and -127/7607610. 7607610 Calculate the smallest common multiple of 21532 and 168224. 129364256 Calculate the common denominator of -13/29688 and -139/8844. 21880056 What is the common denominator of 24/15755 and -82/405? 1276155 What is the common denominator of 69/6924296 and -67/6924296? 6924296 What is the least common multiple of 693207 and 9011691? 9011691 What is the lowest common multiple of 48 and 43006776? 86013552 Calculate the least common multiple of 625905 and 385. 6884955 What is the smallest common multiple of 6 and 1042656146? 3127968438 Calculate the lowest common multiple of 2 and 183200473. 366400946 Calculate the lowest common multiple of 5679480 and 750120. 39756360 Calculate the smallest common multiple of 5840 and 46796. 68322160 What is the least common multiple of 865500 and 32744750? 196468500 Calculate the lowest common multiple of 375210 and 16550930. 148958370 What is the common denominator of -65/37722388 and -39/5607382? 414946268 Find the common denominator of 7/201000 and -97/109000. 21909000 Calculate the lowest common multiple of 852642 and 34371. 48600594 Calculate the smallest common multiple of 17888615 and 3. 53665845 What is the common denominator of -67/20617314 and -119/9174? 226790454 Find the common denominator of 173/57776160 and 49/5358. 1097747040 Calculate the least common multiple of 35498718 and 60. 354987180 Find the common denominator of 34/19614063 and -64/18261369. 529579701 Calculate the least common multiple of 11855320 and 55980. 106697880 What is the common denominator of -167/29260 and 101/314732? 209296780 What is the smallest common multiple of 45643 and 131? 5979233 What is the least common multiple of 572250 and 1750? 572250 What is the lowest common multiple of 428085 and 553113? 174230595 What is the least common multiple of 13284204 and 23292? 39852612 What is the smallest common multiple of 207936 and 9386? 2703168 Calculate the common denominator of -31/10611710 and 157/30. 31835130 Calculate the common denominator of -58/1868577 and 23/161316. 22422924 What is the smallest common multiple of 9906534 and 9? 9906534 What is the common denominator of -41/308 and 155/10301886? 226641492 Calculate the least common multiple of 3420 and 32656060. 293904540 Find the common denominator of -37/12678072 and -31/156. 164814936 Calculate the common denominator of 8/1491 and -64/329085. 2303595 What is the smallest common multiple of 11047106 and 2? 11047106 Calculate the least common multiple of 2397750 and 18. 7193250 What is the smallest common multiple of 1563784 and 92067783? 736542264 Find the common denominator of -125/172718 and 179/392960022. 5108480286 What is the smallest common multiple of 200752458 and 27? 1806772122 What is the lowest common multiple of 139792 and 4368500? 17474000 What is the common denominator of -7/2831130 and -13/62535? 31142430 Calculate the common denominator of 97/81175276 and -47/28991170. 405876380 What is the common denominator of 167/2545914 and -83/1091106? 7637742 Calculate the common denominator of 103/26808 and -49/654562. 7854744 Calculate the smallest common multiple of 82772870 and 11740. 165545740 What is the lowest common multiple of 57799 and 2286039? 820688001 What is the smallest common multiple of 16 and 1597256? 3194512 Calculate the common denominator of 143/6 and 37/3655021694. 10965065082 Calculate the common denominator of -25/78146586 and -53/41769. 1015905618 What is the least common multiple of 1073 and 409306? 15144322 What is the common denominator of -29/10752 and 23/4980672? 278917632 Calculate the common denominator of 37/7812 and -55/3054. 3976308 Calculate the lowest common multiple of 169640 and 50892. 508920 What is the least common multiple of 174 and 739236? 21437844 What is the least common multiple of 4704 and 312536? 26253024 Calculate the least common multiple of 11623172 and 165. 174347580 What is the common denominator of -31/473 and -67/96470? 4148210 What is the least common multiple of 63245 and 941360? 1701037520 What is the smallest common multiple of 74166245 and 209450? 741662450 What is the common denominator of 9/4 and -169/75861960? 75861960 Calculate the common denominator of 143/1770 and 49/137570. 24349890 Calculate the lowest common multiple of 55 and 46026730. 506294030 Find the common denominator of 15/20026838 and -23/237004. 40053676 What is the common denominator of -37/5192208 and 58/303? 5192208 What is the least common multiple of 680058267 and 6? 1360116534 Calculate the lowest common multiple of 602925 and 2. 1205850 Calculate the smallest common multiple of 23162232 and 9352. 162135624 Find the common denominator of -47/50673 and -83/37338. 709422 What is the common denominator of -67/123006 and -67/6118760? 238631640 What is the least common multiple of 845456 and 4755690? 38045520 What is the common denominator of -137/5334126 and -47/3048072? 21336504 Calculate the common denominator of 101/244178 and -91/2163296. 261758816 Calculate the smallest common multiple of 572 and 2240056. 24640616 Calculate the common denominator of -77/8 and 1/3842848. 3842848 Find the common denominator of -17/6889374 and -53/16813. 117119358 What is the common denominator of 93/1211156 and 17/114851? 13322716 What is the smallest common multiple of 56 and 93464? 93464 Find the common denominator of -145/44766 and -31/423. 2104002 Find the common denominator of 95/10196688 and 77/48. 10196688 What is the least common multiple of 36224037 and 621999? 760704777 Calculate the common denominator of -91/30 and 11/183887395. 1103324370 What is the lowest common multiple of 814740 and 6105? 8962140 Calculate the lowest common multiple of 243789 and 201019. 11458083 Calculate the common denominator of 85/152 and -41/297976. 5661544 What is the lowest common multiple of 11106 and 4177090? 37593810 Calculate the lowest common multiple of 23054414 and 20. 230544140 What is the lowest common multip
{ "pile_set_name": "DM Mathematics" }
1865460 by -62182. 30 What is -92967 divided by 4427? -21 Calculate 3 divided by -146025. -1/48675 What is -4 divided by -13521? 4/13521 Calculate -17913 divided by 2559. -7 Calculate 5 divided by -47522. -5/47522 Divide 149 by -6950. -149/6950 3720 divided by 33 1240/11 -40638 divided by 13546 -3 Calculate -35910 divided by -1710. 21 Divide -6205 by -6205. 1 Divide -19 by -966. 19/966 Divide 552625 by -25. -22105 Calculate -475536 divided by -59442. 8 Divide 43585 by -1895. -23 What is -42754 divided by -1? 42754 Divide -2005 by -265. 401/53 38526 divided by -12842 -3 -2 divided by 388234 -1/194117 -63063 divided by 7007 -9 Divide 37 by -473. -37/473 192864 divided by -6 -32144 What is -7200 divided by -25? 288 -279992 divided by 2 -139996 -3 divided by 28941 -1/9647 What is 2 divided by 7676? 1/3838 Divide -26456 by -5. 26456/5 -628960 divided by -2 314480 Divide 28152 by 9384. 3 What is 17884 divided by 8942? 2 7124 divided by 137 52 6 divided by -149607 -2/49869 Calculate 4858602 divided by 6. 809767 Divide -58539 by 6. -19513/2 Divide -24427 by -1879. 13 Calculate -831948 divided by 156. -5333 What is 107599 divided by -12? -107599/12 What is -123529 divided by 49? -2521 What is -291662 divided by 1162? -251 What is 9 divided by 221707? 9/221707 Calculate 1459678 divided by 729839. 2 What is 159 divided by -105? -53/35 Divide 77142 by 1794. 43 Calculate 359700 divided by 2180. 165 What is 5 divided by -86731? -5/86731 -16035172 divided by -1 16035172 Calculate 18 divided by -40139. -18/40139 What is -1667744 divided by 247? -6752 What is 35322 divided by 17? 35322/17 -896 divided by -26 448/13 12242 divided by -6121 -2 -603087 divided by 11379 -53 Divide -34822 by 17411. -2 Calculate 1481994 divided by 18. 82333 What is 47880 divided by 20? 2394 Divide 10436 by -1. -10436 What is -1907955 divided by -381591? 5 -23481 divided by 25 -23481/25 -3700 divided by 5 -740 153565 divided by -6 -153565/6 Calculate 459966 divided by -39. -11794 Divide -50080 by -4. 12520 Divide -2 by 85829. -2/85829 Divide -3022 by -383. 3022/383 What is 7782982 divided by 2? 3891491 Calculate 55229 divided by 2. 55229/2 Calculate 120 divided by -115. -24/23 Calculate -49476 divided by -12369. 4 Divide -29 by -1426. 29/1426 What is -332736 divided by -2? 166368 Divide -114569 by -7. 16367 183690 divided by -6123 -30 Calculate -19821996 divided by -4. 4955499 -147 divided by 6248 -147/6248 Calculate -161146 divided by 409. -394 -56550 divided by 725 -78 Divide 388 by -464. -97/116 Divide 20748 by 1. 20748 What is -15 divided by -29772? 5/9924 Calculate -4278 divided by 65. -4278/65 216752 divided by 5704 38 Divide -35520 by 296. -120 33 divided by 289 33/289 -4996518 divided by 26863 -186 Divide 37000 by -61. -37000/61 What is -367479 divided by -52497? 7 What is -36542 divided by -27? 36542/27 -5275365 divided by -3 1758455 -190237 divided by 1 -190237 -11 divided by -14754 11/14754 Divide 529594 by 26. 20369 Calculate 1012104 divided by 2. 506052 Calculate 1280538 divided by 126. 10163 -478848 divided by -1392 344 -74 divided by -174 37/87 Calculate -14806 divided by 15. -14806/15 What is -1176202 divided by 311? -3782 Calculate 9413 divided by 7. 9413/7 1 divided by -1737 -1/1737 Divide 7277916 by -6. -1212986 Calculate -2107 divided by 133. -301/19 What is -18 divided by 24? -3/4 Calculate -513585 divided by 113. -4545 Calculate -799 divided by -92. 799/92 Calculate 13589 divided by 13589. 1 What is -1403952 divided by -701976? 2 Divide -1 by -21684. 1/21684 Calculate 1550325 divided by -7. -221475 5529 divided by 1843 3 -4879 divided by -35 697/5 What is -3 divided by -13084? 3/13084 -220 divided by -1149 220/1149 -36666 divided by 3 -12222 -4236795 divided by 5 -847359 Divide 1150553 by 5. 1150553/5 What is -1254 divided by -3? 418 Divide -191765 by -2. 191765/2 What is 6566 divided by -19? -6566/19 What is 268 divided by 367? 268/367 215 divided by -410 -43/82 Divide -8320 by 26. -320 What is 13664 divided by -2? -6832 Divide -16860 by 6. -2810 3002555 divided by -463 -6485 Divide 58 by -2515. -58/2515 Calculate -4 divided by 23859. -4/23859 -4806832 divided by -2 2403416 -191815 divided by -4 191815/4 What is 342773 divided by 2699? 127 What is -868785 divided by 255? -3407 What is 21087 divided by 58? 21087/58 Calculate -49248 divided by -1368. 36 Calculate 7 divided by 2828. 1/404 Calculate 19752 divided by -24. -823 -5 divided by 84 -5/84 Divide -3700160 by 124. -29840 Divide -24 by 7746. -4/1291 Calculate 490635 divided by -9. -54515 65961 divided by 21 3141 What is -425 divided by -1064? 425/1064 Divide -11 by -1626. 11/1626 -10 divided by -15906 5/7953 Divide 594 by 306. 33/17 What is 6393 divided by -2? -6393/2 Divide 142 by 769. 142/769 Calculate -66 divided by 2217. -22/739 Calculate -27472 divided by 2. -13736 Calculate -183 divided by -1085. 183/1085 Calculate 885 divided by 2477. 885/2477 Calculate -5811 divided by 195. -149/5 -5 divided by 5603 -5/5603 -204345 divided by -5 40869 Calculate 292368 divided by -12. -24364 Divide 6759778 by 34. 198817 -35670 divided by 7134 -5 Divide -1004 by -320. 251/80 Divide -2480112 by 6. -413352 -623596 divided by 155899 -4 Divide 413504 by 1. 413504 Divide 84 by 25265. 84/25265 What is -28160 divided by 14080? -2 Divide -133936 by -88. 1522 Divide -2355408 by -1177704. 2 Calculate 1241985 divided by -413995. -3 What is 62261 divided by 3? 62261/3 -2 divided by 7172 -1/3586 Calculate 9749 divided by 22. 9749/22 Divide -19 by 2379. -19/2379 Calculate 1243044 divided by 207174. 6 What is -169498 divided by 24214? -7 Divide 19978 by 261. 19978/261 -130830 divided by 623 -210 850663 divided by -77333 -11 Divide 302 by -7952. -151/3976 128400 divided by -15 -8560 Divide -53074 by 223. -238 50 divided by 132 25/66 Calculate 252569 divided by 1411. 179 What is -2 divided by -193893? 2/193893 What is -38752 divided by 7? -5536 What is 6 divided by -124542? -1/20757 Calculate 39 divided by 4806. 13/1602 Divide 5 by -72439. -5/72439 -7590 divided by 1265 -6 What is -7360 divided by -4? 1840 Calculate 44808 divided by -6. -7468 Divide 7330 by -5. -1466 What is 24843 divided by -1911? -13 What is 1949345 divided by -1285? -1517 Calculate -19248 divided by 4812. -4 -757810 divided by -75781 10 Calculate -73159 divided by -3. 73159/3 What is 140 divided by 642? 70/321 Divide 1218 by 7. 174 Calculate 173 divided by 39469. 173/39469 -242845 divided by 4 -242845/4 -1068483 divided by -13 82191 Divide 260 by 82. 130/41 -132 divided by 27213 -44/9071 Calculate 7296 divided by -9. -2432/3 Divide 1 by -69810. -1/69810 Divide -39578 by -14. 2827 4522 divided by 238 19 Divide -20648725 by 5. -4129745 1589 divided by -14 -227/2 Calculate 1288848 divided by -6. -214808 What is -24890 divided by 95? -262 Calculate -78114 divided by 26038. -3 What is -8142 divided by -1357? 6 Divide 2 by -9800. -1/4900 Calculate 173915 divided by -34783. -5 Calculate -391 divided by 38. -391/38 Calculate -20 divided by -192. 5/48 What is -31 divided by -1238? 31/1238 What is 309054 divided by 3? 103018 6 divided by 211079 6/211079 What is 0 divided by -3347? 0 Calculate -350442 divided by -1. 350442 886121 divided by -23 -38527 Calculate -60529 divided by 5. -60529/5 Calculate 1973632 divided by -1814. -1088 -403340 divided by -860 469 Divide -27 by 107462. -27/107462 Divide 624261 by -208087. -3 What is -20188 divided by 98? -206 What is 51270 divided by -6? -8545 -142068 divided by 2 -71034 What is -5 divided by -9672? 5/9672 -2572570 divided by 46774 -55 What is 50787 divided by -243? -209 Divide 27325 by -1. -27325 Calculate 56178 divided by -2. -28089 860583 divided by -111 -7753 Divide -4 by -99877. 4/99877 Divide 20 by 331180. 1/16559 What is 2154612 divided by -818? -2634 Calculate -24050 divided by 185. -130 Divide 13500 by -15. -900 Calculate 0 divided by 5421. 0 25 divided by 79858 25/79858 Divide 118359 by -1. -118359 What is -8 divided by -20211? 8/20211 3 divided by -1176121 -3/1176121 Divide 3400 by -7. -3400/7 -762359 divided by 58643 -13 Calculate 4764 divided by -3. -1588 What is -5 divided by 24253? -5/24253 Calculate -13 divided by -62497. 13/62497 114880 divided by 28720 4 Divide 105 by 17730. 7/1182 What is 310 divided by 162?
{ "pile_set_name": "DM Mathematics" }
Let r = -1087.1 - -1087. What is the nearest to 2/11 in r, s, 3/5? r Let y = 1756 + -1758. Let k = 3 - 3.1. Which is the closest to k? (a) -3 (b) y (c) 0 c Let v = -2641 - -2637. Which is the nearest to 1/17? (a) 2 (b) v (c) 24 a Let x(f) = f**2 + 4*f - 1. Let q be x(-5). Let p be (-8)/(-3)*396/(-48). Let u = p + 43/2. Which is the nearest to 0.05? (a) u (b) q (c) 5 a Let p = -307 + 307. Let b be (-34)/30 - 3/(-4). Let u = b - -2/15. What is the nearest to p in -0.6, 5, u? u Let w = 3454/3 - 1151. Which is the closest to -3.5? (a) 1/6 (b) -2/7 (c) 3 (d) w b Let a = -0.07 - -0.17. What is the nearest to 0.1 in 5, -1, a, 0.59? a Let m = -1687/6 - -282. Suppose 0 = 4*o + 6 - 14. Let h = 159.1 + -159. Which is the closest to h? (a) m (b) o (c) 0.1 c Let y be (-8)/(-10)*107/(-428). What is the closest to -0.4 in 3, 4, y, 3/5? y Let a be 3/(2/4*(0 - -2)). Suppose a = -2*l + 17. What is the closest to -2/7 in -0.9, l, -0.5? -0.5 Let y = -21 + 21. Suppose y = -6*w + 3*w. Let u = -15 + 14. What is the closest to u in -1, 0.2, w? -1 Let i = -88/65 + 15/13. Which is the nearest to 2? (a) -1 (b) -0.05 (c) i b Let a be -3 + (-1)/(3/9). Let p be (6/(21 - -9))/(a/(-4)). What is the nearest to 5 in p, 2/7, 0? 2/7 Let d be (-6)/1*(-2)/(-21). Let u(l) = -8 - 6 - l - l + 5. Let c be u(-3). What is the nearest to 0.2 in 0.1, c, d? 0.1 Let v be 180/72*6/(-10). What is the closest to 1 in 0, -3/10, 5, v? 0 Let i = 154 + -154.2. Which is the closest to 2? (a) 0.2 (b) i (c) 0.4 (d) -1/2 c Let g be ((-3)/(-6))/((-1)/39). Let r = -81/4 - g. Let f = 2633.7 - 2634. What is the nearest to 2/5 in r, -2, f? f Let j be (-6 + (-147)/(-14) + -8)*(-4)/49. Let u be (-46)/90 + 2/5. Let o = -0.1 + 0. What is the nearest to o in j, u, -2? u Let v = -233/9 - -1795/18. Let a = v - 74. Let s(d) = 2*d + 3. Let u be s(-2). What is the closest to u in -0.4, -1/3, a? -0.4 Let f = -111 - -114. Suppose 2 = -d - 2. Let m be (d - -2) + (-11)/(-3). What is the closest to -1 in m, -3, f? -3 Let f be 0/(120/35 - (-12)/21). Which is the closest to f? (a) -0.4 (b) 1/3 (c) -2/19 c Let w(x) = -2*x**2 - 78*x - 398. Let m be w(-6). Which is the closest to 1/4? (a) 1 (b) m (c) 1/20 (d) 0.5 c Let a = -1378 - -1377.6. Let s(p) = -p. Let n(f) = -f**3 - 6*f**2 - 8*f - 5. Let w(m) = n(m) - s(m). Let q be w(-5). What is the nearest to 2 in a, -0.3, q? -0.3 Let j = 1.007 - 0.907. Which is the closest to -16? (a) j (b) 1/2 (c) -0.5 c Let x = 3 - 3.1. Let m = -0.075 + -1.635. Let t = -0.71 - m. Which is the closest to 1? (a) -3/5 (b) x (c) t c Let p = 0.35 + -0.35. Let z = -45.9 - -46. Which is the nearest to z? (a) -0.1 (b) 3 (c) p c Let d = -227 + 224. Let n be (-2 - (-1 + 1)) + 0. Which is the nearest to n? (a) d (b) -0.1 (c) -2 c Suppose 0*n + n = 1. Let s = -2.9 - 0.1. Which is the closest to s? (a) 4/5 (b) n (c) 2 a Let t = -79/100 - -1/25. Suppose -v + 1 = 0, -4 - 14 = -4*w + 2*v. Let f = 72.7 + -73. What is the closest to 0 in w, t, f? f Let s = 2 - -2. Let l = s + -1. Let m = 838 + -838.2. What is the nearest to m in l, 4, -5? l Let p = -852.7 + 851. Which is the nearest to -0.1? (a) p (b) -1 (c) 1/11 c Let t = 1116 - 1112. What is the nearest to -35 in -2/7, t, -1/2, -5? -5 Suppose -502 + 526 = 6*y. What is the nearest to -2/5 in -0.3, y, -1/6, -1/3? -1/3 Suppose 0 = -2*v - v + c - 5, -3*v - 4*c + 20 = 0. Suppose 0 = -v*m + m - 1. Suppose 0 = 4*u - 2*u. What is the closest to u in -4, m, -0.1? -0.1 Let l = 3.78 - 0.38. Let i = 0.4 - l. Let u = i + 2.7. Which is the closest to -1/5? (a) -3 (b) u (c) -1/4 c Let l = -80 - -71. Let k = l - -8.8. What is the nearest to -0.1 in 11, 1, k? k Let h be 2/(-23) + 585/(-414). What is the nearest to 1 in 0.1, h, -1? 0.1 Suppose -5*j + 22*h - 525 = 17*h, -4*j - 4*h - 436 = 0. What is the nearest to -0.1 in -1/5, -4, -0.5, j? -1/5 Let x be (-46)/8 - (-56 - -50). What is the closest to x in 0.19, 4, 6, 3? 0.19 Let i = -996/7 - -142. Let q = 543.2 - 543. Which is the nearest to q? (a) 5 (b) -3/2 (c) i c Let w = 192 - 192.2. Which is the nearest to 0.3? (a) 4 (b) w (c) 3 b Let u = 2 + -2.1. What is the closest to -3/5 in 4, u, 2/7? u Let a be (2 - 1)*(28/6)/2. What is the nearest to 0.1 in -2/9, 4, 2, a? -2/9 Let w = -1 - -1. Let p = -3.8 - -1.4. Let r = -1.4 - p. Which is the nearest to w? (a) r (b) -2/3 (c) 4 b Let q be (-1)/4*3*-1. Suppose -10 = 2*t, -85*k - 4*t - 17 = -88*k. Which is the nearest to k? (a) 3 (b) 2/7 (c) q b Let x = 105 - 104.9. Which is the closest to -1? (a) x (b) -1 (c) -5/6 b Let v = 30 - 34. Let p = 217/321 + -1/107. What is the closest to -1 in v, p, 4? p Let f = -0.8 - -1. Let l = -77 + 77.46. Let v = l - -2.54. What is the closest to f in -0.5, v, 2? -0.5 Suppose -4 = -5*q - 5*j + 1, 0 = 5*q + 4*j - 4. Suppose -3*n + 2*n - 2 = q. Let y be -3*n*3/(-171). Which is the closest to 0.1? (a) -2/3 (b) -0.3 (c) y c Let p be (-1)/(4/8)*3/540. Let t = 187/630 + p. Which is the nearest to 0? (a) -2/5 (b) 5 (c) t c Let p = -0.5 + 0.3. Let n = p - -0.2. Let r(g) = g**3 + 7*g**2 + 5*g - 1. Let m be r(-6). Which is the closest to 4? (a) m (b) n (c) -5/4 a Let u = 0.177 - -2.823. Which is the closest to u? (a) 0.3 (b) -0.19 (c) -3 a Let w = -928/2295 - -2/459. Suppose -2*z = -5*o - z + 5, 3*z - 11 = 2*o. Suppose -3*y + y = 3*b - o, -2 = -2*y + 5*b. What is the closest to w in -1, -4, y? -1 Let v = 326.02 - 326. What is the nearest to -1 in v, -1, -1/5? -1 Let h = 1794 + -1750. Which is the closest to h? (a) 1/4 (b) -2 (c) 3/8 (d) -5 c Let v = 1/28 - 2/7. Let p be (-16)/60*168/112. Which is the nearest to p? (a) v (b) 2/19 (c) -3/8 c Let z be ((-4)/(-60))/((-3)/9). Let m be 4 + (0 + 1 - 3). Let j = -49 - -50. Which is the closest to j? (a) m (b) z (c) -1/6 a Let u(t) = 2*t**2 + 6*t + 6. Let n be u(-2). Suppose 9 = y + n*y, -2*i + 2*y = 4. What is the closest to 0 in -3, 2/3, i? 2/3 Let m = -160/171 + 22/19. Let w = 0 - -2/13. Which is the nearest to -1? (a) -4 (b) m (c) w c Let m = 1.1517 - 0.1517. What is the nearest to -2/7 in -1/4, m, -393? -1/4 Let k = 1391 + -1391. Let x = -4.5 + 0.5. Which is the nearest to 1? (a) k (b) 0.4 (c) x b Let u = 13 - 9. Let x = 62 + -62.5. Which is the closest to 0.4? (a) u (b) 1/7 (c) x b Let t(p) = -22*p + 4. Let g be t(-1). Let r be (-6)/2 + 39/g. Which is the closest to -0.1? (a) 1 (b) 5 (c) r a Let g = -4 + 1. Let p = g - -2.5. Let d be (235/(-25) - -9)*-5. What is the nearest to d in 1, p, -1? 1 Let s = -383/7 - -55. Let q = 9.35 - -0.65. Let y = q + -6. Which is the closest to 0.2? (a) 2/9 (b) s (c) y a Let v = 0.0335 + 0.1665. Which is the closest to 9? (a) -3 (b) v (c) 2/25 b Let g be (4/3)/(2/21). Let d be (8 - 1)*6/g + -1. What is the nearest to d in -5, 0.4, -0.3? 0.4 Let h = -2.1 - -2. Let s = -51 - -52. Let q = s + -1.1. What is the closest to q in h, -3, 2/13? h Let f = -11 + 7. Let o = -93 - -131. Let p = -38.3 + o. Which is the nearest to -3/7? (a) 4 (b) f (c) p c Let z = -0.075 - -8.075. Let l = 101.8 + -94. Let x = l - z. Which is the nearest to 0.2? (a) -4 (b) x (c) -4/3 b Let r(u) = u**3 + 10*u**2 - 7*u + 46. Let v be r(-11). Suppose 0 = -2*d + 4, 0 = -2*i - i - 3*d - 3. Which is the closest to 0.1? (a) i (b) v (c) 1/5 c Let x = 6 - -10. Let r be (-9)/42*x/6. Let g = -0.21 - -5.21. Which is the nearest to r? (a) g (b) 0.3 (c) -2/5 c Let k be 7 + -1 + 247/182*-4. What is the nearest to 0 in 0.44, 0.2, k? 0.2 Let t be (6*(-2)/14)/(-2). Let s = -4.97 + 5. Let v = -0.07 - s. Which is the closest to v? (a) t (b) 0 (c) -5 b Let b = 29/135 + 5/27. Suppose 0 = 4*a - 156 + 140. What is the closest to -2 in 0.2, a, b? 0.2 Suppose -147 = 235*q - 256*q. Which is the nearest to -0.3? (a) q (b) 2/5 (c) -0.3 (d) 3/8 c Let i be ((-28)/24)/(-7)*254. Let g = 42 - i. Suppose 4*z = 5 - 1. Which is the nearest to -0.1? (a) g (b) -4 (c) z a Let g = -0.116 + -2.884. Suppose -4*p + 4*y - 4 = 0, p - 5 = -3*y + 2*y. Let m = -48/11 + 218/55. What is the closest to m in p, g, 0.4? 0.4 Suppose 6 = 5*q - 2*q, -4*q = -4*n - 4. Let r be (n*(-2)/(-12))/((-1)/3). What is the closest to 2 in r, -0.14, 2/7? 2/7 Let v = 1.23 - 1.18. Which is the nearest to -2? (a) -0.1 (b) v (c) 1/6 a Suppose -15 = 41*s - 5
{ "pile_set_name": "DM Mathematics" }
(-4*q**5 + q**2 - q**2)*(5 - 6 + 7). -24*q**5 Expand (2 - 2*z - 4*z + 5*z)*(0 + 11 + 14). -25*z + 50 Expand (-2*n**3 + 5*n**3 - n**3)*(5*n**2 - 3*n**2 - 3*n**2) - 6*n**5 + 2*n**5 - 3*n**5. -9*n**5 Expand (0*h**3 - 3*h**3 + 0*h**3)*(0*h + 0*h - 2*h) + 3*h**4 - 4*h**4 + 0*h**4 + (0*h**2 - 2*h**2 + 3*h**2)*(-h - 2*h**2 + h) - 5*h**3 + 5*h**3 + h**4. 4*h**4 Expand -f + 1 - 1 - 2*f + 0*f - f + (3*f - f - 4*f)*(-3 + 3 + 3) - f + 0*f - f. -12*f Expand (-2*s + 4*s - 3*s)*(5*s**4 + 20*s - 23*s + 4*s**4) + 3*s + 2*s**5 - 3*s. -7*s**5 + 3*s**2 Expand (-i - 2*i + 4*i)*(-i**2 - 2*i**3 + i**2 + (-i - 4*i + 4*i)*(-3 + i**2 + 3) - 2*i**2 + 2*i**2 + 2*i**3 + 3*i**3 + 0*i + 0*i). 2*i**4 Expand (3*r + 5*r - r)*(0 - 4 + 6) + 0 + 0 + 4 - 2*r. 12*r + 4 Expand 2*x - 4*x + 0*x + 6*x - 3*x - 2*x + (5*x - 4*x - 3*x)*(1 + 2 - 5) - 2 + 2*x + 2 - 3*x - 9*x + 4*x + (2 - 2*x - 2)*(3 + 0 - 5). x Expand (6*k - 2*k - 2*k)*(-2*k**3 - 2*k**3 + 5*k**3)*(1 + 1 + 0). 4*k**4 Expand (0 + 1 + 0)*(0 + 1 - 2)*(-k**5 + 3*k**5 + 4*k**2 - 6*k**2). -2*k**5 + 2*k**2 Expand (-6 + 3 - 1)*(-4*x + 4*x + 2*x)*(-4*x + 3*x + 3*x)*(0*x**2 + 2*x**2 - 3*x**2). 16*x**4 Expand 2*z**4 + 0 + 0 + (4*z**2 - 4*z**2 + z**4)*(-1 + 0 + 0) + 4*z**4 - z**4 - z**4 + 4*z**4 - 12*z**4 - 16*z**4. -21*z**4 Expand 4*o**2 + 96 - 96 + (5*o + 0*o - 3*o)*(o - o - 2*o) - 2*o**2 + 3 - 3. -2*o**2 Expand (1 - 4 + 4)*(-6*y + 4*y + 4*y)*(2*y - y + 0*y). 2*y**2 Expand (-3*g + g**3 + 3*g)*(89 - 69 + 2*g + 84). 2*g**4 + 104*g**3 Expand (-3*o**3 + 18*o**3 + 10*o**3 + (-4 + 4 - o)*(2*o**2 + 0*o**2 - 3*o**2))*(2*o + o - 2*o). 26*o**4 Expand (1 - 2 - 3)*(-2*o**4 + 2*o**4 + 15*o**4)*(0*o + 0*o - 2*o). 120*o**5 Expand (5 + 2 - 6)*(-2*p - p + 5*p) - p + p - p - 3*p + p + 0*p - 2 + 4*p + 2 + (-2 + 5 - 5)*(-3 + 3 + p). p Expand (-7 - 1 - 1)*(2*i**2 + 3*i**2 - 7*i**2)*((-1 + 2 + 0)*(2*i + 0*i - i) + 4*i - 2*i - i). 36*i**3 Expand (-3*p + 2*p + 3*p)*(5*p + 2*p - p). 12*p**2 Expand (-1 - 2 - 7)*(-2*t**3 + 4*t**3 + 0*t**3) + (t - 2*t - t)*(-1 + 2*t**2 + 1). -24*t**3 Expand (2 + j - 2 + (j + j - 3*j)*(-2 + 4 - 5) + 0*j + 0*j - j)*(-4 + 0 + 5). 3*j Expand (m - 2*m + 0*m)*(m**3 - m**2 + m**2) + (2*m - m**2 - 2*m + (-m + 3*m - 4*m)*(m + 4*m - 4*m) - 4*m + m**2 + 4*m)*(6*m - 6*m + 8*m**2). -17*m**4 Expand (0 + 5*f + 0)*(26 + 3*f - 24 + 4*f). 35*f**2 + 10*f Expand (-s**3 + 0*s**3 - s**3)*(-5 + 4 - 1) - 61 + 61 + 2*s**3 + s**2. 6*s**3 + s**2 Expand (4*k**3 - 3*k**3 - 3*k**3)*(0 + 1 - 3) + 1 + 2*k**3 - 1 + 10*k**3 - k**3 + 2*k**3 + (6 - 1 - 3)*(0*k**3 - k**3 - k**3). 13*k**3 Expand (0 + 5 - 1)*(z + 0*z + 2*z)*(4*z - 4*z + 2*z). 24*z**2 Expand (4 - 4 - t**3)*(-2 + 2 + t**2) + 0*t - t**5 + 0*t + 42*t**5 - 98*t**5 + 8*t**5. -50*t**5 Expand (-6*n**2 + 2 + 7*n**2 + 6*n**2)*(-2*n + 0 + 0). -14*n**3 - 4*n Expand (5*p - 3 + 3)*(p**3 - 2*p**3 + 2*p**3) + 4*p**4 + 3*p**4 - 4*p**4. 8*p**4 Expand -q + 0*q + 3*q + (-3 + q + 3)*(-1 + 3 - 1) - 1 + 1 + q + (-3 + 3 + 7*q)*(-1 - 5 + 2) + 0*q + 2*q - 1 + 0*q. -22*q - 1 Expand (5*q**4 - q**4 - 5*q**4)*(0 - 2 + 1) - 6*q**4 + 5*q**4 + 3*q**4 + 5*q**4 - 7*q**4 - 3*q**4. -2*q**4 Expand 3*y - 6*y + 2*y + (2*y - 3*y - y)*(4 + 10 + 1). -31*y Expand (-48 + 48 - 12*k)*(-k**2 - 2 + 2)*(2 + 0 + k + k). 24*k**4 + 24*k**3 Expand 5*i - 2*i + 3*i + (3 - 2 + 1)*(-4*i + 4*i + 2*i) - 4 - i + 4. 9*i Expand (a + 0*a + 2*a)*(-7*a**2 - 4*a**2 + 9*a**2)*(1 - 1 - 7*a) - 2 + a**4 + 2. 43*a**4 Expand -4*w + 3*w + 1 - 3*w + (-3 + 3 + 2)*(3*w + w - 5*w). -6*w + 1 Expand (3*j**2 - 5*j**2 + 0*j**2)*(j + j - 5*j) - j**2 - 2*j**3 + j**2. 4*j**3 Expand ((5 - 3 + 0)*(-1 - j + 1) + 4*j + 10*j - 7*j)*(-1 + 1 + 2*j). 10*j**2 Expand (-2 + 2 + 3*b)*(-1 - 3 - 3) + 4*b - 1 + 2 + 0. -17*b + 1 Expand (-5*v**2 + 9*v**2 - 13 - 6*v**2)*(0*v**2 + 5*v**2 - 2*v**2). -6*v**4 - 39*v**2 Expand (28*k + 165 - 165)*(2*k - k - 3*k). -56*k**2 Expand 3 + 1 - 2*g - 1 - 5*g + 4*g + 0*g + 0*g + 4*g - 3*g + (1 + 5 - 5)*(-2*g + 2*g + g) + 0 + g + 0 - 2*g + 4*g - g + 2*g + 2*g - 2*g - 2*g - g - g. -g + 3 Expand (-3 - 5 + 6)*(-z + 4*z - 5*z)*(2 - 1 + 1 + 0 - 2 + 1 - 2 + 3 + 1 + (-2 + 2 - 2)*(-1 + 1 - 1) + 1 + 4 - 3 - 2 - 4 + 2 + 3 + 4 - 5). 20*z Expand (2*r + 0*r - r)*(-4*r + 0*r + r) + 4*r**2 - 2*r + 2*r + (3 - 3 + 2*r**2)*(-2 - 1 + 2). -r**2 Expand 7*p**2 - 7*p**2 - 22*p**5 + (5 - 2 - 1)*(0*p**5 - 3*p**5 + 4*p**5) - p**5 + 0*p**5 + 2*p**5. -19*p**5 Expand 0*x**5 + x**5 - 2*x**5 - x**5 - 3*x**5 + x**5 + x**3 - x**3 - 2*x**5 + (-3*x**4 + x**4 + x**4)*(-3*x - x + 6*x) + (x**3 - x**3 - x**4)*(0*x + 2*x + 0*x). -10*x**5 Expand (-1 + 1 - 3*n)*(-9 - 9 + 11). 21*n Expand (-b - 2 + 2)*(4 - 3 + 0) - b + b - b + 21*b + 5 - 5. 19*b Expand 586*j**2 - j**5 - 586*j**2 + (j**5 - j**5 + j**5)*(1 + 0 + 1). j**5 Expand ((-2 - 2 + 6)*(-2 - 1 + 1) - 5 + 1 - 2)*(-2*g - g + g). 20*g Expand (3 - 2 + 7)*(-7*b**2 + 3*b**2 + 2*b**2). -16*b**2 Expand (-82 - 40 + 23)*(-3*n**2 + 0*n**2 + 2*n**2). 99*n**2 Expand (-w**3 + 3*w**3 + 0*w**3)*((0 - 2 + 4)*(0 - 2*w + 0) + 4*w - w - 5*w). -12*w**4 Expand (10 + 10 - 22)*(-2*p - p + 2*p). 2*p Expand -2255*i + 2*i**2 + 2255*i - 5*i**3 - 3*i**3 + i**3 + 4*i**3 + (-i**2 - i**2 + i**2)*(0*i + i + 0*i) + i - i - 2*i**3. -6*i**3 + 2*i**2 Expand -2*m**3 + m - m - 3*m - m**3 + 3*m + (-m**2 - m + m)*(m + m - m) - 2*m**3 + 2*m**3 + m**3. -3*m**3 Expand (-3 + 3 - a)*(-2 + 2 + 2) + (26 + 3 - 5)*((-2*a - 1 + 1)*(0 + 3 - 2) + (1 - 1 - 2*a)*(-3 - 1 + 2) + a - a + a). 70*a Expand (27*c**2 - 31*c + 31*c)*(-2*c**3 + 0*c**3 + 4*c**3 + (0*c**2 - 3*c**2 + 5*c**2)*(c - c + c)). 108*c**5 Expand -7*t**2 + 7*t**2 - 3*t**3 + (0 + 1 + 0)*(-2*t**3 + 2*t**3 - 2*t**3) + 2*t**3 - 2*t**3 - t**3. -6*t**3 Expand (-4*u + 4*u + u)*(-13*u**2 - 33*u**2 + 22*u**2). -24*u**3 Expand (-3*i - 2*i + 3*i)*(-9*i - 10*i + 2 + 21*i). -4*i**2 - 4*i Expand (4*t**2 - t**2 + 0*t**2)*(-11 - 2*t + 17 - 5). -6*t**3 + 3*t**2 Expand (3*d**2 + 0*d**2 - 5*d**2)*(-4 + 2*d + 4) - 4*d**3 + 4*d**3 + 5*d**3. d**3 Expand (1 + 1 - 7)*(-2 - 1 + 1)*(1 - 1 + 1)*(-1 + 4*w + 3*w - 5*w). 20*w - 10 Expand (-2*l**3 + 2*l**3 + 2*l**3)*(32*l**2 + 23*l**2 - 100*l**2). -90*l**5 Expand (2*i**2 + 4*i**2 - 4*i**2 + (0 + i + 0)*(-5*i + 3*i + i))*(-6 - 5*i**3 + i**3 + 2*i**3). -2*i**5 - 6*i**2 Expand (-2*g - 5*g + 0*g)*(-2*g**3 - 2*g + 2*g) + (-4*g + 4*g - 5*g**2)*(-4*g**2 + g**2 + 4*g**2) + 3*g**4 - 6*g**4 + g**4. 7*g**4 Expand (-8 + 9 + 11)*(-2*p + 3 - 3)*(-1 + 2 - 2). 24*p Expand (-2 - 2*s + 2)*(5 - 3*s - 5)*(-2*s - 3*s + 7*s). 12*s**3 Expand -152*w**2 - 63*w**3 + 152*w**2 + (0*w + 0*w + w**2)*(0 + 0 - 2*w). -65*w**3 Expand s**4 + 0*s**2 + 0*s**2 + (s - s - s**4)*(0 - 8 - 2). 11*s**4 Expand y**4 - 2*y**4 + 0*y**4 + (-y**2 + 3*y**2 - y**2)*(2*y**2 - 5*y**2 + 2*y**2) + 0*y**4 - 6*y**4 + y**4. -7*y**4 Expand ((5 - 5 - 2)*(2*j - 5*j + 4*j) - 3*j + 2*j - 2*j)*(2*j + 4*j - j). -25*j**2 Expand -2*o**3 - 16*o + 16*o + (3 - 3 + 2)*(0*o**3 - 2*o**3 + 4*o**3) + 4*o - 4*o + o**3 - 2*o**3 + 2*o**3 - o**3. 2*o**3 Expand 2*w - 2*w + 2*w**2 - 2*w + 2*w + w**2 + 0*w + 3*w**2 + 0*w + (3 - 7*w - 3)*(-4*w + 0*w + 5*w). -w**2 Expand (l + 1 - 1)*(4*l + 3*l - 18*l) - 3*l**2 + 0*l**2 + 4*l**2. -10*l**2 Expand 2*g**3 - 3*g**3 - 2*g**3 - 8*g**3 + 0*g + 0*g + (6*g**3 - 2*g**3 - 2*g**3)*(-4 + 2 + 0) + g**3 + 0*g**3 + 0*g**3. -14*g**3 Expand (-3*h**2 - 2*h**3 + 3*h**2)*((2*h**2 - 1 + 1)*(-2 - 2 + 2) - 2*h**2 + 3*h - 3*h). 12*h**5 Expand 5*z + 4*z + 3*z + (1 - 3 + 4)*(-z + 3*z - z) + z + 3*z - 7*z + (0*z - z + 0*z)*(3 - 4 - 1) + 0*z - z + 3*z. 15*z Expand (0 + 0 - 1)*(v**3 + 3*v**2 - 3*v**2 + 2*v - 3*v**3 - 2*v + (v + 3 - 3)*(1 - v**2 - 1) - v**3 + 3*v**2 - 3*v**2). 4*v**3 Expand -2*b**3 - 9*b**2 + 2*b**5 + 3*b**3 + 0*b**2 + (-b**4 + b**4 + 2*b**4)*(b - 6*b + 2*b). -4*b**5 + b**3 - 9*b**2 Expand (2*t**2 - 5*t**2 + t**2)*(-2 - 2 + 5)*(30 - 15 + 14). -58*t**2 Expand (2*o + 3*o - 4*o)*(4 - 1 - 2)*(1 + 1 + 0). 2*o Expand (q**3 + 3*q**2 - 3*q**2)*(-8*q**2 + 5*q**2 + 2*q**2). -q**5 Expand (-o + 1 + 2 + 2*o)*(7 + 11 - 1). 17*o + 51 Expand (0*l**3 - 2*l**3 + 4*l**3)*(1 + 2*l - 1) + l**4 + 22 - 22. 5*l**4 Expand (3 - h + 0*h + 0)*(4*h + h - 9*h) + (2*h - 3*h + 2*h)*(h + h - 3*h) + 3*h**2 + 2 - 2. 6*h**2 - 12*h Expand (-2 - a + 2)*(2*a**2 + 2*a**2 - 6*a**2) + 13*a**3 + 2 - 36*a**3 + 15*a**3. -6*a**3 + 2 Expand 2*v**2 + 0*v**2 - 3*v**2 + 2*v**2 - 3*v**2 + 0*v**2 + 1 + (0*v + v + 0*v)*(2
{ "pile_set_name": "DM Mathematics" }
-126*y + 1 Let b(h) = 2776*h**2. Let n(k) = -4*k**2 + 10*k**2 - 5*k**2 - 3*k**2. Calculate n(b(d)). -15412352*d**4 Let d(y) = -2*y + 9. Let x(v) = 866881*v. Calculate x(d(l)). -1733762*l + 7801929 Let z(n) = n. Let w(o) = -9*o**2 + 2967873*o. Give w(z(b)). -9*b**2 + 2967873*b Let z(y) = -2*y**2. Let t(j) = 25375556*j**2. Calculate t(z(i)). 101502224*i**4 Let q(i) = i. Let u(d) = 2*d + 4. Let v(c) = -c**2 + 11*c + 114. Let k(n) = -3*u(n) + v(n). What is q(k(s))? -s**2 + 5*s + 102 Let g(n) = 3*n**2. Let c be ((-15)/(-6))/(34/8 - 3). Suppose 2*f - 12 = c. Let j(d) = d - d + 0*d + f*d. What is j(g(x))? 21*x**2 Let h(o) = 5*o. Let q(s) be the third derivative of 1/15*s**5 + 0*s**3 + 7/24*s**4 + 0*s + 0 + 280*s**2. What is q(h(u))? 100*u**2 + 35*u Let m(g) be the first derivative of -g**2 + 20. Let z(r) be the third derivative of 29*r**5/60 + 2*r**2 - 15*r. What is z(m(t))? 116*t**2 Let n(z) = 8*z**2 + 1. Let i(q) = 7200*q - 2. Determine i(n(g)). 57600*g**2 + 7198 Let j(o) = 11295*o. Let n(q) = -2936*q**2. Give n(j(a)). -374566145400*a**2 Let s(f) = f**2. Let c(l) = 6025 - 485*l - 92*l - 6025. Give s(c(v)). 332929*v**2 Let c(w) be the second derivative of -w**4/24 + 30*w**2 - 3*w - 5. Let x(b) be the first derivative of c(b). Let z(v) = -4*v**2 + 20*v. Give x(z(r)). 4*r**2 - 20*r Let q(i) = 8*i. Let v = 98 - 100. Let z be 1/(1415/705 + v). Let g(s) = -274*s + z*s + 136*s. Give q(g(n)). 24*n Let n(g) = -3043*g - 173. Let z(t) = -2*t**2. Determine n(z(j)). 6086*j**2 - 173 Let m = -355 - -362. Let g(z) = -3*z**2 + 0*z**2 + m*z**2 - z**2. Let s(w) be the second derivative of -5*w**3 - 8*w. Calculate g(s(k)). 2700*k**2 Let z(w) = 21*w**2. Let m(h) = 122*h - 388*h + 132*h + 130*h + 2. Calculate m(z(f)). -84*f**2 + 2 Let i(q) = 3*q**2 + 10. Let c(p) = -2*p**2 + 15*p - 1. Let h(z) = 14*z**2 - 90*z + 6. Let r(l) = 6*c(l) + h(l). Determine r(i(a)). 18*a**4 + 120*a**2 + 200 Let j(l) = 2*l**2 - 7*l + 2. Let m be j(-5). Let x = m + -85. Let z(b) = -x*b**2 - 7*b**2 + 9*b**2 + 2*b**2. Let n(h) = -2*h - 49. Calculate z(n(t)). 8*t**2 + 392*t + 4802 Let s(l) = -l. Let m(g) be the second derivative of 715*g**4/12 + g**2 + 13*g - 26. What is s(m(q))? -715*q**2 - 2 Let f(k) = -121*k - 1. Let n(u) be the third derivative of -7*u**5/60 + 24*u**2 - 42*u. Calculate n(f(x)). -102487*x**2 - 1694*x - 7 Let x(s) = s**2. Let v(d) = 889*d - 259. Calculate x(v(l)). 790321*l**2 - 460502*l + 67081 Let k(t) = 22*t**2. Let v be ((-84)/(-70))/((-4)/(-30)). Let o(m) = -2*m + 2*m - v*m + 5*m. Calculate o(k(q)). -88*q**2 Let v(m) = 181 - 104*m + 25*m + 77*m. Let s(d) = -3*d**2. Give v(s(h)). 6*h**2 + 181 Let x(p) = 3*p**2 + 5*p**2 - 5*p**2. Let l(t) = 4*t**2. Let n(c) = -4*l(c) + 5*x(c). Let g(i) be the third derivative of -i**4/12 + 4*i**2. Determine n(g(y)). -4*y**2 Let v(x) = 3*x**2. Let d(h) = -44*h + 1728. Let y(b) = -9*b + 364. Let q(r) = -4*d(r) + 19*y(r). Determine q(v(f)). 15*f**2 + 4 Let s(h) = 3*h**2 - 86. Let l(w) be the third derivative of -w**4/12 + 2*w**2 + 544. Give l(s(b)). -6*b**2 + 172 Let c(v) = 3*v**2. Let h(t) be the second derivative of 23*t**6/360 + t**3/3 + 57*t**2/2 - t - 30. Let k(r) be the second derivative of h(r). Determine c(k(b)). 1587*b**4 Let u(q) = -16*q**2 + 22*q**2 + 17 - 33 + 16. Let z(t) = 100*t + 1. Give z(u(o)). 600*o**2 + 1 Let i(t) be the first derivative of t**2 - 11. Let p(l) = l**2 - 3*l + 3. Let q(m) = -m + 1. Let f = 8 - -7. Let c(d) = f*q(d) - 5*p(d). Give c(i(x)). -20*x**2 Let j(r) = 2*r. Suppose 3 = -162*l + 327. Let o(v) be the third derivative of 0*v + 0 - 18*v**l + 0*v**3 + 11/24*v**4. Determine j(o(x)). 22*x Let w(d) = d. Let r(j) = -7*j**2 + 6409*j + 4. What is r(w(k))? -7*k**2 + 6409*k + 4 Let t(c) be the first derivative of -289*c**2/2 - 3067. Let h(j) = 34*j. Calculate t(h(u)). -9826*u Let u(w) = -2*w**2. Let g(i) be the first derivative of -809*i**2/2 + 451. Calculate u(g(x)). -1308962*x**2 Let p(v) be the first derivative of 28*v**3/3 - 793. Let u(z) = 7*z + 11*z + 6*z - 23*z. What is u(p(j))? 28*j**2 Let c(l) = -48*l + 2. Let h(v) = -6374 + 3181 + 6*v**2 + 3193. Give h(c(f)). 13824*f**2 - 1152*f + 24 Let g(o) = -263*o. Let h(d) = -12753*d**2. Give g(h(p)). 3354039*p**2 Let a(g) = 882649*g**2. Let o(t) = -10*t. Determine a(o(n)). 88264900*n**2 Let a be 1 + -3 + 4 - -1. Let b(p) = -a*p - 3*p - 8*p - 7*p. Let s(q) = -100 + q + 51 + 49. Give b(s(n)). -21*n Let x(k) be the first derivative of 2*k**3/3 + 1. Let z(d) = 15*d**2 - 65*d + 19. Let b(s) = -7*s**2 + 30*s - 9. Let f(c) = 13*b(c) + 6*z(c). Determine x(f(p)). 2*p**4 + 12*p**2 + 18 Let p(y) = 25*y**2. Let n(i) = -7459726*i**2. Calculate p(n(u)). 1391187799876900*u**4 Let a(h) = -h. Let q(u) = 2*u**2 + 117*u - 11343. Determine q(a(j)). 2*j**2 - 117*j - 11343 Let m(d) = -d**2 - 2906. Let c(i) = -39*i. What is c(m(w))? 39*w**2 + 113334 Let t(v) be the first derivative of 0*v + 1/3*v**3 + 0*v**2 + 59. Let l(w) = -92*w + 2. Determine l(t(c)). -92*c**2 + 2 Let y(s) = 26*s. Let x(z) be the third derivative of -76*z**5/15 + 2*z**2 + 47*z - 7. Give x(y(i)). -205504*i**2 Let a(v) = -23*v**2 + 27*v**2 + 40*v**2. Let s(q) be the second derivative of q**3/3 - 1048*q. Calculate s(a(y)). 88*y**2 Let f(c) be the second derivative of 5*c**3/6 - 9*c. Suppose 2*j - 12 = -4*b, -5*j + b - 6*b + 20 = 0. Let w(t) = t**j - 68 + 68. Calculate w(f(m)). 25*m**2 Let s(z) = -2*z - 37. Let i(t) = t + 1. Let d(m) = 3*i(m) + s(m). Let f(k) = -138*k - 7. Let x(g) = -59*g - 3. Let q(p) = 3*f(p) - 7*x(p). Give q(d(l)). -l + 34 Let u(w) = 64*w. Let q(g) = 2*g + 15. Let k be q(-6). Let v(m) = -6*m - 6. Let r(b) = -b - 2. Let t(d) = k*r(d) - v(d). Determine t(u(o)). 192*o Let r(x) = 5*x - 13. Let v = -3170 - -6048. Let z(c) = c - 2878 + c + v. What is z(r(l))? 10*l - 26 Let v(y) = 15*y - 45. Let q(j) = 23*j - 72. Let p(u) = 5*q(u) - 8*v(u). Let z(x) = -688*x**2. What is p(z(i))? 3440*i**2 Let a(f) = -3*f + 1. Let b(m) be the second derivative of 13*m**3/6 + 6*m**2 + 4*m + 1. Let x(k) = -5*a(k) - b(k). Let v(w) = 2*w. Determine x(v(n)). 4*n - 17 Let y be (0/(-3) - 0) + 2. Let m(g) = 0*g**2 - g**2 + 4*g**y - g**2. Let c(u) = -2*u**2 + 2. What is c(m(d))? -8*d**4 + 2 Let g(v) = 105*v**2 - 27. Let r(l) = 8*l**2 - 2. Suppose 2*x = -0*x + 54. Let i(o) = x*r(o) - 2*g(o). Let d(y) = -y - 9*y + 6*y. Give i(d(j)). 96*j**2 Let k(a) = -24*a**2 - 24*a - 24. Let b(h) = -2*h - 62*h**2 + 0 - 2 - 69*h**2 + 130*h**2. Let j(r) = 12*b(r) - k(r). Let f(g) = g**2. Determine f(j(z)). 144*z**4 Suppose 7*s - 11*s + 8 = 0. Let p be (0 + 2*-2)/((-15)/30). Let u(w) = 4*w + p*w - 5*w - s*w. Let h(t) = 8*t**2. Give h(u(o)). 200*o**2 Let n(j) = -84*j - 213*j - 491*j + 199*j - 203*j. Let c(d) = 2*d**2. What is c(n(f))? 1254528*f**2 Let j = 103 - 98. Let p = 76 - j. Let t(s) = -p*s - 2*s**2 - 5*s**2 + 71*s. Let c(g) = -4*g**2. What is c(t(i))? -196*i**4 Let b(k) be the third derivative of -19*k**7/5040 - 3*k**5/10 - k**3/6 - 41*k**2. Let f(r) be the third derivative of b(r). Let n(d) = -2*d. Calculate f(n(h)). 38*h Let t be ((-2)/(-4))/((-6)/(-72)). Suppose t*i = 3*i - d + 140, 4*i = -3*d + 180. Let j(f) = 42*f - 89*f + i*f. Let r(s) = -3*s - 16. Determine j(r(m)). -3*m - 16 Let s(k) = -9*k - 85. Let w(u) = 3*u + 30. Let y(a) = -6*s(a) - 17*w(a). Let m(i) = -21*i**2 + 7*i**2 + 13*i**2. Give m(y(p)). -9*p**2 Suppose -144 = -8*d + 10*d. Let u = 95 + d. Let m(i) = -3*i**2 + u*i - 51*i + 28*i. Let w(f) = f. What is m(w(b))? -3*b**2 Let u(x) = 1609*x - x**2 - 537*x - 535*x - 537*x. Let j(f) = 5*f**2 + 5*f**2 - 18 - 6*f**2 - f**2. What is j(u(m))? 3*m**4 - 18 Let n(s) be the third derivative of -s**5/30 + 10*s**2 - 7*s. Let d(u) = 1681*u**2. Calculate d(n(v)). 6724*v**4 Let f(y) = 4*y**2. Let x(c) = 3*c**2 - 11. Let d(r) = 2488*r**2 - 6842. Let b(h) = d(h) - 622*x(h). Give b(f(s)). 9952*s**4 Let y(f) = -6580*f**2. Let h(j) = -10*j**2 - 6. Let t(g) = 42*g**2 + 25. Let m(b) = -25*h(b) - 6*t(b). What is y(m(z))? -26320*z**4 Let n(d) be the first derivative of -d**3/3 - 481. Let y(a) = -a - 1. Let c(f) = -4*f. Let b(p) = c(p) - 3*y(p). What is b(n(h))? h**2 + 3 Let o(c) = 27*c**2 + 1. Let d(u) = 4*u + 1. Let t(f) = -57*f - 11. Let a(m) = 11*d(m) + t(m). What is o(a(b))? 4563*b**2 + 1 Suppose -a = -2*b + 4*b - 2, -8 = -4*a + 2*b. Let y(l) = -10801 + 108
{ "pile_set_name": "DM Mathematics" }
*r. Let l = -155 + i. List the prime factors of l. 5, 37 Let l(o) = 6 + 0 - 3 - 6*o - 5 - o**2. Let z(r) = r**3 + 10*r**2 + 8*r - 13. Let m be z(-9). List the prime factors of l(m). 2, 3 Suppose 256 - 246 = 2*z, 45107 = 3*p + z. List the prime factors of p. 2, 7517 What are the prime factors of 84366*((-38)/(-96) - 3/48)? 2, 3, 43, 109 Let m(n) = 4*n**2 + 99*n + 11. List the prime factors of m(-62). 3, 3083 Suppose -92*q + 95*q + b - 23187 = 0, 0 = -2*q - b + 15460. What are the prime factors of q? 7727 Suppose -26*s - 29095 + 143339 = 0. List the prime factors of s. 2, 13 Let a(g) = 746*g**2 + 19*g - 47. List the prime factors of a(2). 5, 7, 17 Let y = -3635 - -6707. Suppose 3*g + 4*o - y + 70 = 0, -2*o = -5*g + 4986. List the prime factors of g. 2, 499 Let l(i) be the third derivative of -5*i**2 - 3/2*i**3 + 0 + 0*i - 41/12*i**4. List the prime factors of l(-2). 5, 31 Let r(x) be the third derivative of -5*x**4 - 3*x**3 + 15*x**2 - x. What are the prime factors of r(-3)? 2, 3, 19 Suppose 227*f - 231*f = -564. Let t = 890 - f. What are the prime factors of t? 7, 107 Let s = 2034 - 2030. Let x(v) = -6 + 6*v**2 + 6*v + 8*v**2 + 0*v. List the prime factors of x(s). 2, 11 Let g(z) = 8*z**2 + 8*z + 21. Let x be g(-6). Let b = -183 + x. Suppose 4*l = 7*l - b. What are the prime factors of l? 2, 13 Let u = -86 + 329. Let i be (-5)/10*0/2. Suppose -2*s - s + u = i. List the prime factors of s. 3 Let f(i) = 9143*i**2 + 180*i - 179. What are the prime factors of f(1)? 2, 3, 127 Suppose 7 = i - 2. Suppose i*h + 9 = 12*h. Suppose -v = p + 2*v - 73, -5*p + h*v = -419. List the prime factors of p. 2, 41 Suppose 661*i - 666*i = -21245. What are the prime factors of i? 7, 607 Let s(i) = i**3 + 3*i**2 - 3*i + 2. Let a be s(5). Suppose 10*n + 496 = -274. Let c = n + a. What are the prime factors of c? 2, 5, 11 Let w be 3 - 0/(-1) - (-34 - -33). Suppose -5*i + i - w*g + 544 = 0, -3*i + 400 = -g. Let o = i + -77. List the prime factors of o. 3, 19 Let h be 9/(-36) - (-50)/8. Suppose h*s - 369 - 651 = 0. Suppose 428 = p + s. List the prime factors of p. 2, 3, 43 Let p = 4427 + -2447. List the prime factors of p. 2, 3, 5, 11 Let m be (-2)/(10/(-305)) + 3 + -4. Suppose 5*k - 573 = t, -2*k + 5*t + 243 = -0*k. Let g = k - m. What are the prime factors of g? 2, 3 Suppose 4*s - 110488 = -4*a, -382*s + 377*s - 55188 = -2*a. What are the prime factors of a? 2, 13807 What are the prime factors of 105 - 93 - (-481 + -1)? 2, 13, 19 Suppose -2*d + 25 = -d + 3*t, -2*t = 2*d - 30. Let j be 5*-1*d/(-25). What are the prime factors of ((-1)/3)/(j/(-198))? 3, 11 Let p(g) = 318*g + 590. List the prime factors of p(3). 2, 193 Let a(c) = 17*c**3 + 2*c**2 - c + 4195. What are the prime factors of a(0)? 5, 839 Suppose -62*u + 58*u - g + 23076 = 0, 0 = -3*u + 2*g + 17318. List the prime factors of u. 2, 5, 577 Let j(k) = 6*k + 21. Let o be j(-4). Let g be 1/6*1652 - 2/o. Suppose -6*z + 4*z = -g. List the prime factors of z. 2, 3, 23 Let s(q) = -q**3 - 24*q**2 - 122*q - 273. What are the prime factors of s(-26)? 3, 13, 109 Suppose -12*v + 44 = -16. Suppose 0*p - 5*p = -25, -5*r - 2*p = -v. What are the prime factors of 0 - (-43 - r) - (0 - 1)? 43 Suppose -308*t - 138 = -310*t. Let k = t - 27. List the prime factors of k. 2, 3, 7 What are the prime factors of (3 + 0)*63/27 + 7725? 2, 1933 Let n(f) be the second derivative of 1/12*f**4 + 3*f + 7/3*f**3 + 0 + 4*f**2 - 1/20*f**5. What are the prime factors of n(-5)? 2, 11 Let i be 3/(-3 + (-66)/(-21)). Suppose i*r + 2688 = 33*r. What are the prime factors of r? 2, 7 List the prime factors of ((-34)/(-84) - (992/168 + -6))*90058. 37, 1217 Let x(l) = -72*l - 36. Let a(z) = -z**3 - 3*z**2 + 12*z + 3. Let h be a(3). Let f(u) = 2*u + 27. Let b be f(h). What are the prime factors of x(b)? 2, 3, 5 Suppose 78*s - 75*s - 2*t = 127, -4*s - 5*t + 154 = 0. Suppose s*i + 3384 = 47*i. What are the prime factors of i? 2, 3, 47 Suppose 3*p + 2 = -f + 15, 0 = 4*f + 2*p - 22. Suppose 2*l = i - 47 + 10, 0 = 4*i + 2*l - 118. Suppose i - 207 = -f*d. List the prime factors of d. 2, 11 Let l = -128506 - -188019. What are the prime factors of l? 59513 Let n(t) = -t**2 - 24*t + 112. Let l be n(-28). Suppose l = 5*b - 5*z - 1215, -z - 960 = 2*b - 6*b. List the prime factors of b. 239 List the prime factors of -5 + (-3 - 40848/(-8) - (-2 - 2)). 2, 2551 Let q be -1 - (0 + 1 - 32). Suppose 10*n - 273 = 9*n. Let y = n - q. List the prime factors of y. 3 Suppose -4*t + 76271 - 20059 = 4*b, 0 = 2*b + 12. What are the prime factors of t? 17, 827 Let a be (-1 - 1 - -4) + 494. Let r = a - 51. What are the prime factors of r? 5, 89 Let d(u) = -2*u**3 - 27*u**2 - 11*u + 28. Let v be d(-13). Suppose v*b = -4*f + 730, -2*f + 3*b + 907 = 3*f. What are the prime factors of f? 2, 7, 13 Let z be (11/2 - 6)*-26. Suppose 1806 = 8*v + z*v. List the prime factors of v. 2, 43 Let y = -5427 + 6100. List the prime factors of y. 673 Suppose -10*a = -18372 + 7432. What are the prime factors of a? 2, 547 Let h(y) = 5*y - 5. Let b be h(-1). List the prime factors of 24/b*780/(-18). 2, 13 Suppose -3 = 6*i - 15. Suppose -m = -2*m - u + 472, -4*m - i*u = -1884. List the prime factors of m. 2, 5, 47 Let h(l) = -61*l - 363. Let r(t) = -30*t + 310. Let n be r(11). List the prime factors of h(n). 857 Let p(w) = 1339*w**2 + 89*w - 149. What are the prime factors of p(6)? 48589 Let r(g) = -1120*g - 7151. What are the prime factors of r(-24)? 109, 181 Let a(c) = 3*c**3 + 3*c**2 - 4*c + 5. Let o be a(3). Suppose 107 = 3*j + 5*v - 116, 12 = -3*v. Let q = o - j. What are the prime factors of q? 2, 5 Let q = 5586 + -278. What are the prime factors of q? 2, 1327 Let y = -7 - -13. Let k(x) = 2*x - 46*x**2 + 21 - 3*x - x + 45*x**2 + 7*x. List the prime factors of k(y). 3, 5 Suppose 0 = 133*l - 1758506 - 186353. List the prime factors of l. 7, 2089 List the prime factors of 2 + 0 + -42 + 37 + (-1 - -13530). 2, 6763 Suppose 3*y - k = 9 + 3, y = -2*k + 11. Suppose -6 = y*g - 16. What are the prime factors of (35 - (-6)/2) + g? 2, 5 Suppose -10 = -3*b - 16. List the prime factors of ((-10)/6 - b) + 10648/33. 17, 19 Let z = 43278 + -26517. List the prime factors of z. 3, 37, 151 Let c = -158 + 160. Suppose c*m - 1889 = a - 4*a, -m + 3*a + 949 = 0. What are the prime factors of m? 2, 11, 43 Suppose -3*g - 127 = 134. Let j be g*1/5 - (-10)/25. Let a = j - -262. What are the prime factors of a? 5, 7 Suppose 57*b = -3*g + 56*b + 7594, 5071 = 2*g - b. List the prime factors of g. 17, 149 Let g(t) = 1528*t**3 + 4*t**2 + 134*t - 275. What are the prime factors of g(2)? 13, 941 Suppose -t + 11 = -5*f - 0*t, 3*t = f + 5. Let o be (0 + -52)*((-6)/6 - 24). List the prime factors of f/9 - o/(-18). 2, 3 Let a = -437 + 630. Let k = 1163 - a. What are the prime factors of k? 2, 5, 97 Suppose 13*f - 23 - 42 = 0. Suppose 4*l - 16 = 0, -5*n - f*l = -0*n - 1850. Suppose -7*a + n = -166. List the prime factors of a. 2, 19 Let h = -13 - -18. Suppose -h*x + 9*u = 8*u - 336, 256 = 4*x - 4*u. List the prime factors of x. 2, 17 Suppose 2*v - 18 = 4*r - 6*r, -15 = -2*r - v. List the prime factors of 47340/10*(0 - -2)/r. 2, 3, 263 Suppose 5*n - 163 = -p, -3*n = -3*p - 108 + 3. List the prime factors of ((-99)/n + 2 + -1)*-501. 2, 3, 167 Let x(m) = -2*m**2 + 30*m - 104. Let h be x(9). Suppose 5*s - 2053 = -4*i, -2*s + 2062 = h*i - 0*s. What are the prime factors of i? 11, 47 Suppose 128359 = -48*b + 342007. List the prime factors of b. 4451 Let u(m) be the second derivative of 8*m**4/3 + m**3/3 - 2*m**2 - 2*m. Let d(p) = -p**2 + 37*p - 230. Let i be d(8). What are the prime factors of u(i)? 2 Let n(g) = -5*g - 25 - 11*g - 5 + g**2. List the prime factors of n(-14). 2, 3, 5, 13 Let q = 184 + -14. Let a = -134 + q. List the prime factors of a. 2, 3 Let t be 0/(3 - 6/3). Suppose t = -w - 19*w + 780. List the prime factors of w. 3, 13 Let n be (-4)/42 + (-3756)/252. List the prime factors of (-3065)/n + (-4)/12. 2, 3, 17 Suppose 2*q - 25122 = -2*a, -62796 = -5*a - 2*q - 2*q. List the prime factors of a. 2, 3, 523 Suppose 96*s - 100*s = -80*s + 304. Let i = 235 - 19. Suppose -5*m - s*b - 9 = -483, 2*m = 5*b + i. List the prime factors of m. 2, 7 Let g = -5 + 8. Suppose f = 3*d - 165, 4*f - g*d + 45 = -570. List the prime factors of (f/(-4))/(
{ "pile_set_name": "DM Mathematics" }
0 What is prob of sequence ff when two letters picked without replacement from {w: 5, f: 5}? 2/9 What is prob of sequence lvl when three letters picked without replacement from eelelllevvellevelvve? 7/228 Two letters picked without replacement from msmybssyyyywyjs. Give prob of sequence my. 2/35 Three letters picked without replacement from bnzzzzzdz. What is prob of sequence bnz? 1/84 Two letters picked without replacement from cceqeet. What is prob of sequence ce? 1/7 What is prob of sequence qqq when three letters picked without replacement from {q: 7}? 1 Three letters picked without replacement from {t: 2, p: 4, u: 2}. Give prob of sequence tup. 1/21 What is prob of sequence fff when three letters picked without replacement from {f: 9, r: 7}? 3/20 What is prob of sequence ihi when three letters picked without replacement from {w: 4, i: 2, e: 1, p: 2, h: 10}? 10/2907 Calculate prob of sequence mmm when three letters picked without replacement from {a: 4, e: 1, n: 9, m: 3, o: 2}. 1/969 Three letters picked without replacement from {z: 3, j: 5}. Give prob of sequence jjj. 5/28 Two letters picked without replacement from ttcucttttttutct. What is prob of sequence ut? 2/21 Two letters picked without replacement from egnnwnwn. What is prob of sequence ge? 1/56 Calculate prob of sequence eeea when four letters picked without replacement from aeeeeeqqq. 5/252 What is prob of sequence ccbf when four letters picked without replacement from wzcfpfzzppcbzzfzzw? 1/12240 What is prob of sequence qvq when three letters picked without replacement from {q: 7, v: 6}? 21/143 What is prob of sequence cc when two letters picked without replacement from {b: 16, c: 2}? 1/153 What is prob of sequence ll when two letters picked without replacement from jjjlyvjjjjeyyljavajj? 1/190 Three letters picked without replacement from {e: 3, z: 3, o: 1, r: 1, l: 6}. What is prob of sequence lrl? 5/364 Four letters picked without replacement from {w: 4, p: 1, a: 2}. Give prob of sequence waap. 1/105 Calculate prob of sequence mh when two letters picked without replacement from clllfmmmchll. 1/44 Four letters picked without replacement from {t: 4, i: 16}. What is prob of sequence ttit? 16/4845 What is prob of sequence ov when two letters picked without replacement from {j: 1, v: 2, o: 2}? 1/5 Four letters picked without replacement from nnqnnnnqqn. Give prob of sequence nqnq. 1/20 What is prob of sequence mma when three letters picked without replacement from {m: 3, l: 4, y: 1, t: 2, e: 4, a: 3}? 3/680 What is prob of sequence nnf when three letters picked without replacement from {l: 7, k: 2, s: 2, o: 1, n: 2, f: 1}? 1/1365 Three letters picked without replacement from {m: 6, n: 7, g: 2, z: 1, u: 1}. What is prob of sequence gmg? 1/340 Calculate prob of sequence qou when three letters picked without replacement from uufqouuuuouuuo. 9/728 Calculate prob of sequence hdd when three letters picked without replacement from dddhdhhddddjhhdjhd. 15/136 Three letters picked without replacement from {p: 1, c: 7, o: 6, w: 6}. Give prob of sequence cwc. 7/190 Four letters picked without replacement from {t: 1, g: 1, y: 1, z: 3, r: 6}. Give prob of sequence ytyt. 0 Three letters picked without replacement from {q: 12, y: 1}. What is prob of sequence qqq? 10/13 What is prob of sequence hh when two letters picked without replacement from ccchhchccccchcchcccc? 1/19 Calculate prob of sequence ptdd when four letters picked without replacement from dpbpbpbbbbtpdbpbbpbp. 7/58140 Two letters picked without replacement from zilizvy. What is prob of sequence ii? 1/21 Four letters picked without replacement from cnncggcgcnggnnnggcc. What is prob of sequence cccg? 35/3876 Calculate prob of sequence fis when three letters picked without replacement from {f: 5, s: 2, c: 2, i: 3, e: 8}. 1/228 Four letters picked without replacement from {w: 2, t: 2, h: 2, p: 2}. What is prob of sequence wtph? 1/105 What is prob of sequence ti when two letters picked without replacement from {j: 2, i: 2, t: 10}? 10/91 Four letters picked without replacement from tttxtttttttttxttttt. What is prob of sequence txxt? 1/171 Four letters picked without replacement from {z: 3, t: 5, p: 2}. What is prob of sequence pztt? 1/42 Three letters picked without replacement from {d: 3, h: 2, k: 1, r: 1}. What is prob of sequence dhh? 1/35 Calculate prob of sequence il when two letters picked without replacement from {l: 11, i: 1}. 1/12 What is prob of sequence mmmm when four letters picked without replacement from mmmmmmm? 1 Three letters picked without replacement from {e: 10, u: 6, d: 2}. What is prob of sequence ued? 5/204 What is prob of sequence et when two letters picked without replacement from hahahlhlateaeaaat? 1/68 Three letters picked without replacement from {g: 6}. Give prob of sequence ggg. 1 Three letters picked without replacement from {i: 4, a: 2, d: 1, y: 1, f: 2}. What is prob of sequence yif? 1/90 Two letters picked without replacement from {c: 3, u: 5}. What is prob of sequence cu? 15/56 Three letters picked without replacement from kjykqkkqqpjjkkq. Give prob of sequence yjk. 3/455 What is prob of sequence uf when two letters picked without replacement from {u: 4, i: 1, f: 6, s: 6}? 3/34 Three letters picked without replacement from tiiitqgqg. What is prob of sequence igt? 1/42 Two letters picked without replacement from {n: 4, p: 4, q: 12}. What is prob of sequence qp? 12/95 Three letters picked without replacement from {s: 4, m: 1, a: 3}. Give prob of sequence sms. 1/28 Two letters picked without replacement from {p: 1, m: 2, i: 2}. Give prob of sequence ip. 1/10 What is prob of sequence uuu when three letters picked without replacement from {n: 1, u: 3, k: 1}? 1/10 What is prob of sequence fl when two letters picked without replacement from fololololllooll? 4/105 Two letters picked without replacement from mlzif. What is prob of sequence il? 1/20 What is prob of sequence iy when two letters picked without replacement from {c: 3, i: 11, y: 4}? 22/153 Three letters picked without replacement from {f: 1, k: 4, z: 1, l: 4}. Give prob of sequence klz. 1/45 Four letters picked without replacement from kuukuukukuukkuc. Give prob of sequence kuuk. 2/39 Two letters picked without replacement from {i: 17, c: 3}. What is prob of sequence ii? 68/95 Two letters picked without replacement from dyddnyydydnndynddyd. What is prob of sequence dn? 2/19 Calculate prob of sequence hhs when three letters picked without replacement from hhhhhhhhshhh. 1/12 What is prob of sequence rr when two letters picked without replacement from krrcxkggkkrxrgn? 2/35 What is prob of sequence il when two letters picked without replacement from lwxullwjjixl? 1/33 Calculate prob of sequence aw when two letters picked without replacement from lwawwalaawwawawaaa. 7/34 Calculate prob of sequence lmle when four letters picked without replacement from mmllemlleme. 1/55 What is prob of sequence sse when three letters picked without replacement from {u: 3, s: 3, e: 11, o: 2}? 11/969 Two letters picked without replacement from zgigzzghmi. What is prob of sequence gh? 1/30 Two letters picked without replacement from {s: 3, h: 8}. What is prob of sequence sh? 12/55 Four letters picked without replacement from {l: 5, v: 2, y: 1, i: 2, b: 2, m: 2}. Give prob of sequence myil. 5/6006 Two letters picked without replacement from {z: 7, p: 6, d: 1, u: 2, f: 4}. Give prob of sequence fz. 7/95 Two letters picked without replacement from dhsdhekx. Give prob of sequence ex. 1/56 Four letters picked without replacement from {s: 7, x: 4, f: 2, r: 1}. Give prob of sequence fxfr. 1/3003 What is prob of sequence nvv when three letters picked without replacement from nnvvdbdvfvbvvddee? 1/68 Calculate prob of sequence ses when three letters picked without replacement from sssiessinsej. 1/22 Calculate prob of sequence cc when two letters picked without replacement from {c: 2, s: 1, p: 1, n: 1}. 1/10 Calculate prob of sequence kff when three letters picked without replacement from {f: 11, q: 2, v: 1, o: 1, p: 1, k: 2}. 55/1224 Three letters picked without replacement from {r: 3, d: 7, l: 3, g: 2}. What is prob of sequence gld? 1/65 Calculate prob of sequence zb when two letter
{ "pile_set_name": "DM Mathematics" }
c) = c - 1. Let j(r) = -10*r**2 + 13*r - 4. Let w(p) = 7*p**2 - 9*p + 2. Let z(g) = 2*j(g) + 3*w(g). Suppose 3*q + 4 = 7. Determine q*z(m) + l(m). m**2 - 3 Suppose 0 - 18 = 3*b. Let x(j) be the third derivative of 5/8*j**4 + 0*j + 2*j**2 + 5/6*j**3 + 0. Let s(o) = 7*o + 2. Calculate b*x(c) + 13*s(c). c - 4 Let c(r) = -2*r**3 - 6*r + 13. Suppose -163*a - 2366 = 19*a. Let t(v) = -v**3 - 3*v + 6. Determine a*t(u) + 6*c(u). u**3 + 3*u Let p(x) = x**2 - 1. Let g be (-72)/30*65/(-26). Let z(i) = -28*i**2 - 6. What is g*p(l) - z(l)? 34*l**2 Let m(k) = -264*k**3 - 24*k**2 + 24*k + 24. Let w(n) = -119*n + 220*n - 106*n - 10*n**2 + 53*n**3 - 5 + 20*n**2 - 5*n**2. What is 5*m(i) + 24*w(i)? -48*i**3 Let u(o) = -128*o + 9426. Let w(s) = 23*s - 1885. Calculate -2*u(n) - 11*w(n). 3*n + 1883 Let c(m) be the second derivative of 5*m**3/6 - 131*m**2/2 - 1582*m - 1. Let t(g) = g - 26. What is -2*c(q) + 11*t(q)? q - 24 Let z be (1 - 1*(-1)/(-1))/(-4). Let u be (-2)/(7 + -5) - (1 + z). Let o(m) = m**3 + 2*m**2 - 2*m. Let v(x) = -x. Give u*v(r) + o(r). r**3 + 2*r**2 Let s(n) = -136*n**2 - n - 12. Let h(m) = 272*m**2 + m + 31. Give -2*h(v) - 5*s(v). 136*v**2 + 3*v - 2 Let q(r) = -29*r**3 + 4*r**2. Suppose f = 3*u - 27 + 25, 0 = 2*f - 4*u. Let j(o) = -2000*o**3 + 275*o**2. Give f*j(m) - 275*q(m). -25*m**3 Let n(t) = 5*t - 555. Let p(l) = -12*l + 1108. Give 5*n(m) + 2*p(m). m - 559 Let m(a) = -a**2 + 1. Suppose 0*f = -f - 2*f. Suppose 3*n - 2*n + 15 = f. Let t = -17 - n. Let w(g) = 2*g**2 - 3. What is t*w(p) - 6*m(p)? 2*p**2 Let b(t) = -3*t**3 - 2*t**2 - t. Let x(n) = -16*n**3 - 11*n**2 - 5*n + 1. Let h(z) = -2*z**3 - 30*z**2 - 58*z - 67. Let f be h(-13). Determine f*b(s) - 2*x(s). -s**3 - s - 2 Let g(t) = -13*t - 48. Let r be g(-4). Let m(l) = -r + 7 + 2*l**3 + 5*l + l - 6*l + 8*l**2. Let u(f) = -f**3 - 3*f**2 - 1. What is -3*m(w) - 8*u(w)? 2*w**3 - 1 Let l(k) = 7*k - 4. Let y(g) = -9*g**2 - 15*g + 9. Give -5*l(w) - 2*y(w). 18*w**2 - 5*w + 2 Let i(k) = 10*k + 1494. Let r(j) = -2*j + 1. What is i(g) + 3*r(g)? 4*g + 1497 Let n(s) = -1433*s + 8. Let h(v) = -2858*v + 18. Give 5*h(r) - 11*n(r). 1473*r + 2 Let l(j) = -2*j**3 - 5*j**2 + 1468*j - 5. Let o(i) = -3*i**3 - 7*i**2 + 2202*i - 7. Give -7*l(z) + 5*o(z). -z**3 + 734*z Let m(j) = -10*j**2 - 13*j - 11. Let l(a) be the third derivative of 0 - 5/6*a**3 - 16*a**2 - 1/4*a**4 - 1/12*a**5 - a. Calculate -13*l(r) + 6*m(r). 5*r**2 - 1 Let u(k) = k**3 + 3*k**2 + 2*k - 5. Let j(x) = x**2 + x + 1. Let o = -3221 - -3220. Calculate o*u(g) + 2*j(g). -g**3 - g**2 + 7 Let r(w) = 65*w**2 + 2*w + 9. Let s(p) = -224*p**2 - 7*p - 28. Give -7*r(m) - 2*s(m). -7*m**2 - 7 Let q(g) = 5*g + 7. Let m(t) = -t**2 - 14*t - 3. Let w be m(-13). Let j(k) = -3*k + 0*k - 8*k + w*k. Give 6*j(x) + q(x). -x + 7 Let m(a) = 137*a**3 - 68*a**2 + 74*a + 42. Let y(z) = 23*z**3 - 11*z**2 + 12*z + 7. Determine 6*m(t) - 37*y(t). -29*t**3 - t**2 - 7 Let y(c) = -c + 1. Let i(b) = -4*b - 4. Let g be (2 + -1)*(-3)/(-6) - 1/(-2). What is g*i(f) + 3*y(f)? -7*f - 1 Let c be -4*((-4)/(-16) - 5/(-10)). Let x(v) = -2*v**3 - 2*v - 3. Let u(t) = 6 - t**3 + 3*t**3 + 2*t**3 + 3*t + 0*t**3 - 1. Give c*u(k) - 5*x(k). -2*k**3 + k Let a(x) = 2*x**3 - x**2 + x - 3. Let w(b) = 3*b**3 - 5*b**2 + 5*b - 39. What is 5*a(p) - w(p)? 7*p**3 + 24 Let b(y) = -13*y + 2. Let h(t) = -23*t + 605. Calculate -2*b(n) + h(n). 3*n + 601 Let i(x) = -17*x**3 - 5*x**2 - 5*x. Let q be ((-2)/(-5)*-20)/(8/4). Let b(u) = 17*u**3 + 4*u**2 + 4*u. What is q*i(g) - 5*b(g)? -17*g**3 Let w(q) = 1. Let l(d) = -7*d + 4. Suppose 288*t + 2567 + 217 = -672. Calculate t*w(u) + 3*l(u). -21*u Let p(j) = -93*j**2 - 16*j + 14. Let b(h) = 93*h**2 + 12*h - 17. Give 4*b(a) + 3*p(a). 93*a**2 - 26 Let u(x) = x**3 - x**2 + x. Let o(n) = -33326*n**3 + 11401*n**2 - 11401*n. Give -o(m) - 11401*u(m). 21925*m**3 Let r(d) = -19*d**3 - 3*d + 5. Let g = 25533 - 25530. Let q(w) = -20*w**3 - 2*w + 4. What is g*q(p) - 2*r(p)? -22*p**3 + 2 Let k(r) = 5*r**2 - 5*r - 47. Let o(b) = b**2 + b - 1. Give k(s) + 2*o(s). 7*s**2 - 3*s - 49 Let g(y) = -3*y**3 - 2*y - 6. Let v(b) = b**2 + 81*b - 2657. Let j be v(25). Let k(o) = -6*o**3 - 5*o - 13. Give j*g(h) + 3*k(h). 3*h**3 - h + 3 Let i(r) = -11*r**3 - 5*r**2 + r + 5. Let m(d) = 12989*d**3 - 6502*d**3 - 6*d**2 + d - 6498*d**3 + 6. Calculate -6*i(h) + 5*m(h). 11*h**3 - h Let h(f) be the third derivative of f**4/24 + f**2 - 2*f. Let a(d) = 0*d + 0*d + 2*d. Suppose -3 = -x, 0 = 3*z + 2*x - 21 + 3. Calculate z*a(b) - 5*h(b). 3*b Let p(k) = -13*k - 8. Let l(z) = 2*z - 10. Calculate 4*l(r) + p(r). -5*r - 48 Let f(b) = -11*b**3 + 5*b**2 - 5*b + 5. Let g = -75 - -78. Let m(i) = 19 - 18*i**2 - 37 + 0 + 18*i + 39*i**g. Let v = 10 - 5. Give v*m(k) + 18*f(k). -3*k**3 Let l(s) = -2075. Let d(m) = 461. Let w(h) = 9*d(h) + 2*l(h). Let a(r) = -17*r - 4. Determine a(k) - 6*w(k). -17*k + 2 Let f(s) = -5*s**2. Let r be f(1). Let c(k) = 28*k - 6. Let g(v) = v - 1. Let m(i) = c(i) - 6*g(i). Let l(o) = 74*o + 70*o - 153*o. Give r*m(u) - 12*l(u). -2*u Let d(n) = 4393*n**3 + 15*n**2 + 10. Let s(l) = 3863643*l**3 + 13194*l**2 + 8796. Give 4398*d(r) - 5*s(r). 2199*r**3 Let v(a) = -a**2 - a + 1. Let t(i) = i**2 - 4*i. Let z be t(2). Let x(h) be the first derivative of -2*h**3/3 - 5*h**2/2 + 5*h + 63. What is z*v(n) + x(n)? 2*n**2 - n + 1 Let h(t) be the third derivative of 1/6*t**3 + 2*t**2 - 1/8*t**4 - 30*t + 0. Let k(c) = 12*c - 5. What is -9*h(i) - 2*k(i)? 3*i + 1 Let q(u) = 2*u**2 - 68*u - 5. Let y(f) = 3*f**2 - 136*f - 8. Calculate 5*q(k) - 3*y(k). k**2 + 68*k - 1 Let n(h) = -1. Let m(j) = -j**3 + 6. Let b(c) = -17*c + 161. Let q be b(9). Suppose q*g = g + 42. Determine g*n(d) + m(d). -d**3 Let t(z) = -4*z**3 - z**2 - 3*z + 4. Let i(r) = -7*r + 8 + 2*r + 4*r**2 + 3*r**2 - 7*r**3 - 6*r**2 - 2*r**2. Determine 3*i(j) - 5*t(j). -j**3 + 2*j**2 + 4 Suppose 3*r + 6 - 9 = -6*j, 0 = -3*j - 6. Let p(v) = -149*v + 8. Let h(o) = 99*o - 5. Give r*p(s) + 8*h(s). 47*s Let g(r) = -3*r - 3. Suppose 0 = -34*d + 31*d - 3*a - 21, -a = -4*d - 23. Let f(s) = 6*s + 5. Calculate d*f(m) - 11*g(m). -3*m + 3 Let v(a) = -5*a**3 + 2*a**2 + 2*a. Let g(l) = -189*l**3 + 77*l**2 + 77*l. Suppose 0 = -208*s + 210*s - u + 14, 5*u = 4*s + 34. Determine s*g(c) + 231*v(c). -21*c**3 Let v be (-238)/(-28) + (-3)/2. Suppose 2*t + v = -3*d, 4*t + 5 = d - 2. Let z(s) = -s**2 - s - 1. Let k(m) = -m**2 - 4*m - 3. What is d*k(j) + 2*z(j)? -j**2 + 2*j + 1 Let z(v) = 7*v - 2. Let o(b) = b - 1. Let h be (-9 - -16 - 1*11) + -1 + -1. What is h*o(m) + 3*z(m)? 15*m Let v(b) = -1435*b + 7. Let d(h) = 6*h - 1. What is -5*d(s) - v(s)? 1405*s - 2 Suppose -8*d = -3*d + 35. Let s = d - -5. Let g(u) = -u + 1. Let h(p) be the first derivative of p**2/2 - p + 4318. What is s*h(a) - g(a)? -a + 1 Let a(m) = 8*m + 1. Let v(f) = -4*f**2 - 14*f - 3. Determine 7*a(j) + 4*v(j). -16*j**2 - 5 Let y(v) = -720*v**3 + 81*v. Suppose 2*d = 4*k + 11 + 5, -4*d = -5*k - 17. Let o(r) = 18*r**3 - 2*r. Give d*y(u) - 81*o(u). -18*u**3 Let b(f) = -f**2 - 1. Let r(o) = -o**3 - 13*o**2 - 2. Suppose 0 = -2*m - 11 + 7, 5*i + 14 = -2*m. Calculate i*b(d) + r(d). -d**3 - 11*d**2 Let h(x) = 33*x**2 + 191*x + 1. Let g(f) = 41*f**2 + 191*f + 2. Determine 4*g(q) - 5*h(q). -q**2 - 191*q + 3 Let l(w) = 68*w + 4819. Let v(z) = 27*z + 2411. Determine 2*l(h) - 5*v(h). h - 2417 Let p(h) = 2*h**3 + 8*h**2 - 2*h + 2. Let r(w) = -3*w**3 - 15*w**2 + 4*w - 4. Let v be (-2192)/(-137) + (0 - 11). Give v*p(u) + 3*r(u). u**3 - 5*u**2 + 2*u - 2 Let u(m) = 17*m - 753. Let d(b) = 10*b - 377. Calculate 5*d(y) - 3*u(y). -y + 374 Let w(n) = -6*n**3 - 1. Let q(z) be the second derivative of -z**5/4 - z**2/2 - 686*z. Suppose 3 + 21 = 2*a. Suppose y + y + a = 0. Calculate y*w(v) + 7*q(v). v**3 - 1 Let z(s) = -2*s + 411. Let d(g) = -2*g + 431. What is 7*d(c) - 8*z(c)? 2*c - 271 Let u(m) = -m - 2. Let a(n) = 10*n + 105. What is -a(y) - 20*u(y)? 10*y - 65 Let o(v) = -6*v - 31. Let k(i) = 2*i - 8. Let j(t) = t - 3. Let f(a) = 5*j(a) - 2*k(a). Give -4*f(m) - o(m). 2*m + 27 Let m(d) = 4 - 3*d - 3 - 4. Let o(f) = 7*f + 7. Let n be -12*385/84*3. Let a = n + 169. What is a*o(q) + 10*m(q)? -2*q - 2 Let b(c) = -767*c**3 - 18*c**2 + 6*c. Let f(s) = -2302*s**3 - 51*s**2 + 17*s. Calculate -17*b(m) + 6*f(m). -773*m**3 Let p(q) = 13313*q**2 - 14*q
{ "pile_set_name": "DM Mathematics" }
9, -454012, -544743? -635436 What comes next: 106, 162, 120, -68, -450? -1074 What is the next term in 6139, 12213, 18287, 24361, 30435, 36509? 42583 What comes next: -119226, -238446, -357666, -476886? -596106 What is the next term in -2277, -2296, -2313, -2328, -2341? -2352 What is next in -24663, -98649, -221959, -394593, -616551, -887833? -1208439 What is the next term in 82544, 165125, 247706, 330287? 412868 What is next in -738, -1474, -2218, -2976, -3754, -4558? -5394 What comes next: -3296, -4648, -6000, -7352, -8704, -10056? -11408 What is next in 1085, 2182, 3309, 4472, 5677? 6930 What is the next term in -18544, -37162, -55768, -74356, -92920, -111454, -129952? -148408 What comes next: -145371, -145369, -145367? -145365 What comes next: -28783, -28785, -28785, -28783, -28779? -28773 What is the next term in 898, 760, 622, 484, 346? 208 What is next in -126433, -252859, -379285? -505711 What is the next term in -15629276, -15629277, -15629278, -15629279? -15629280 What is next in 13, -133, -281, -431, -583, -737? -893 What comes next: -5075582, -10151164, -15226746, -20302328, -25377910, -30453492? -35529074 What is next in 545342, 1090685, 1636028, 2181371? 2726714 What is next in -416, -1843, -4222, -7553? -11836 What comes next: 6902, 6954, 7102, 7394, 7878, 8602? 9614 What is the next term in -397231, -397227, -397223, -397219, -397215, -397211? -397207 What is next in 963, 2044, 3125, 4206, 5287, 6368? 7449 What is the next term in 10054, 19474, 28894? 38314 What is the next term in 335, 1299, 2889, 5105, 7947? 11415 What is next in 2522, 4833, 7156, 9497, 11862? 14257 What is the next term in -354, -960, -1972, -3390? -5214 What comes next: 3705, 7402, 11085, 14754, 18409? 22050 What is next in 120481, 120479, 120493, 120529, 120593? 120691 What is the next term in 48, 347, 1146, 2691, 5228? 9003 What comes next: -45917, -45918, -45919, -45920? -45921 What is next in -1744, -6977, -15692, -27883, -43544, -62669, -85252? -111287 What is the next term in -595, -709, -813, -907, -991? -1065 What is the next term in -5433, -5499, -5565, -5631, -5697? -5763 What is the next term in -307878, -307875, -307870, -307863? -307854 What is the next term in 15721, 31363, 47005, 62647, 78289, 93931? 109573 What is next in -6145, -6022, -5803, -5476, -5029? -4450 What is next in -30925, -30927, -30929, -30931? -30933 What comes next: -8223, -16400, -24565, -32712, -40835? -48928 What comes next: -16577, -16586, -16595, -16604, -16613, -16622? -16631 What is next in 215, 385, 529, 641, 715, 745, 725, 649? 511 What is the next term in 111, 245, 419, 627, 863? 1121 What is next in 265, 239, 213, 187, 161? 135 What is next in 176, 808, 1862, 3344, 5260? 7616 What comes next: 647, 812, 977, 1142, 1307? 1472 What is next in 34629, 34601, 34573, 34545, 34517, 34489? 34461 What comes next: -1182, -1303, -1428, -1557, -1690, -1827, -1968? -2113 What is next in 288, 81, -502, -1653, -3564, -6427, -10434, -15777? -22648 What is the next term in 3132, 6255, 9378, 12501, 15624? 18747 What comes next: 454147, 908293, 1362439? 1816585 What is the next term in -14701, -29696, -44689, -59680, -74669? -89656 What comes next: 225, 792, 1739, 3096, 4893, 7160, 9927, 13224? 17081 What comes next: 698, 642, 584, 524, 462, 398? 332 What is the next term in -2923, -3059, -3287, -3607, -4019, -4523, -5119? -5807 What is next in -369, -379, -389, -399, -409? -419 What is the next term in -7112, -14338, -21564? -28790 What is next in -23964, -23966, -23968, -23970, -23972? -23974 What is next in -263, 61, 607, 1381, 2389, 3637, 5131? 6877 What is next in 1770, 1051, 332? -387 What comes next: -8951, -8936, -8937, -8960, -9011, -9096? -9221 What is next in 541748, 2166997, 4875746, 8667995? 13543744 What is next in -213, -168, -123, -78, -33? 12 What is the next term in -256, -163, -74, 5, 68? 109 What is the next term in 1051049, 1051043, 1051033, 1051019, 1051001, 1050979? 1050953 What is the next term in 398, 639, 880, 1121, 1362? 1603 What comes next: -477, -853, -1229, -1605? -1981 What is next in 84123, 84131, 84149, 84177, 84215, 84263? 84321 What is next in 280, 651, 1268, 2131? 3240 What is the next term in 1188, 1200, 1226, 1272, 1344, 1448? 1590 What is next in -107, -280, -453, -626? -799 What is next in -38566, -38567, -38558, -38533, -38486? -38411 What is the next term in -4334232, -4334233, -4334236, -4334241, -4334248, -4334257, -4334268? -4334281 What is next in 1360, 2695, 4030? 5365 What is the next term in -65, -206, -345, -482, -617, -750, -881? -1010 What comes next: -5363, -5272, -5121, -4910, -4639? -4308 What is next in -2278, -2237, -2196, -2155, -2114, -2073? -2032 What is the next term in 2755, 11013, 24777, 44047, 68823, 99105? 134893 What is next in 50, 85, 96, 65, -26? -195 What is next in -45746, -91490, -137234, -182978, -228722? -274466 What comes next: -54268, -108545, -162836, -217147, -271484, -325853, -380260, -434711? -489212 What is the next term in -530, -1049, -1562, -2069? -2570 What is the next term in 2668, 5222, 7788, 10372, 12980, 15618, 18292, 21008? 23772 What is the next term in -66736, -266942, -600618, -1067764, -1668380? -2402466 What comes next: 1801, 1852, 1903, 1954? 2005 What is next in -2496, -2618, -2832, -3144, -3560, -4086, -4728? -5492 What is next in -2012440, -2012441, -2012442? -2012443 What is next in -7, -19, -61, -151, -307? -547 What is the next term in -292716, -292715, -292712, -292707, -292700, -292691? -292680 What comes next: -970, -3649, -8114, -14365? -22402 What comes next: -95931, -95929, -95927, -95925? -95923 What is next in 568, 1069, 1578, 2095? 2620 What comes next: -326, -395, -460, -521, -578, -631, -680? -725 What is the next term in -4421, -4484, -4547, -4610? -4673 What comes next: 7574, 7615, 7656? 7697 What is next in 810, 853, 924, 1023, 1150, 1305? 1488 What is the next term in 8306, 16597, 24890, 33185, 41482, 49781, 58082? 66385 What is next in 616, 1255, 1894? 2533 What is the next term in 29, -3, -43, -85, -123, -151? -163 What is next in 2106, 2090, 2064, 2028, 1982, 1926? 1860 What is the next term in -10483, -10460, -10433, -10408, -10391, -10388? -10405 What is the next term in 557614, 557612, 557610, 557608, 557606, 557604? 557602 What comes next: -945, -1028, -1231, -1608, -2213, -3100, -4323? -5936 What comes next: -2520, -2495, -2484, -2493, -2528, -2595, -2700, -2849? -3048 What is the next term in -50109, -100224, -150341, -200460, -250581, -300704, -350829? -400956 What is the next term in 384, 695, 1212, 1935, 2864? 3999 What comes next: -25024, -25009, -24978, -24925, -24844, -24729, -24574? -24373 What is the next term in 312, 608, 918, 1248, 1604, 1992? 2418 What is the next term in -14780, -29560, -44340, -59120, -73900, -88680? -103460 What is next in -109, -227, -365, -541, -773, -1079, -1477? -1985 What is next in 414, -378, -1696, -3540, -5910? -8806 What is the next term in 437, 820, 1203, 1586? 1969 What is next in -719, -2809, -6291, -11165, -17431, -25089, -34139? -44581 What is the next term in -2036, -4098, -6158, -8216, -10272? -12326 What comes next: 74113, 148223, 222333, 296443, 370553, 444663? 518773 What is the next term in 87683, 87688, 87695, 87704, 87715? 87728 What is next in 1564, 2223, 2882, 3541, 4200? 4859 What is the next term in 33, 507, 981? 1455 What is the next term in 1266, 2531, 3796? 5061 What is next in -1040, -4226, -9530, -16946, -26468? -38090 What comes next: -1349, -2060, -2771? -3482 What is next in 13797, 13770, 13695, 13548, 13305? 12942 What is next in -675604, -1351209, -2026814? -2702419 What is next in -283, -1270, -2919, -5230, -8203? -11838 What comes next: -92, -338, -736, -1286, -1988, -2842? -3848 What comes next: -12532, -50137, -112828, -200617, -313516, -451537, -614692? -802993 What is next in 13683, 27364, 41045, 54726, 68407, 82088? 95769 What is next in -5575, -5570, -5561, -5548? -5531 What comes next: 244631, 489264, 733883, 978482, 1223055, 1467596? 1712099 What is the next term in 6617, 6592, 6553, 6500? 6433 What comes next: -1401, -1326, -1259, -1206, -1173? -1166 What comes next: -4848, -4986, -5138, -5310, -5508, -5738, -6006, -6318? -6680 What is next in -252, -490, -718, -936, -1144, -134
{ "pile_set_name": "DM Mathematics" }
= -174 - d. Let x = 5 - 2. Solve a = i - 0 - x for i. 3 Let n(t) = -t**3 + 7*t**2 - 7*t + 7. Let a be n(6). Let z be 2/(-2)*(-1 + a). Let c be 40 + 4590/(-136) - (-6)/8. Solve z = 5*u + c - 22 for u. 3 Suppose -r - 82*b + 86*b + 36 = 0, 0 = -2*r + 3*b + 42. Solve -r = 14*i - 26 for i. 1 Suppose 4*s + 9 = 5*z, 4*z - 3 = 3*s + 5. Let j(x) = -x + 2. Let k(u) = u**2 - 11*u - 30. Let r(w) = 6*j(w) + k(w). Let a be r(18). Solve a*y = y - s for y. 4 Let v = -15308 + 15791. Solve -474*z - 36 = -v*z for z. 4 Suppose -930 + 300 = -9*o. Suppose 22 = -3*p + o. Solve 0 = 4*a - 8*a + p for a. 4 Let j = -228 + 375. Solve j*d - 141*d = -30 for d. -5 Let i be (-4)/((1220/(-412) + 3)/(-2)). Suppose -i + 44 = -9*h. Solve 13*q = h*q + 10 for q. -2 Let g(i) = 96*i**2 - 672*i + 4. Let f be g(7). Solve f = -8*h + 12 for h. 1 Let u be 8 + -5 + -7 - 47/(-1). Suppose 4*q - 5*j - u = q, 5*q - 2*j = 40. Suppose -3*t - 24 = -q*t. Solve a + t = 3*a for a. 4 Let q(u) = -2*u**2 + 10*u. Let z be q(5). Suppose z = 3*a - 2*h - 0 + 2, 3*h = 4*a + 3. Solve a = -5*w + 9 + 11 for w. 4 Suppose 5*x - 28 = 3*c, 5*c + 0*x - 4*x = -25. Let s(i) = -14*i - 4. Let b be s(c). Solve -5*n + b*n = 10 for n. 2 Let t be 0 + -4 + -95 + -2. Let z = -93 - t. Let u be 15/6 - (-6)/4. Solve u*r = -0*r - z for r. -2 Suppose -70*n - 2 = -68*n. Let c(q) = -17*q**3 - 3*q**2 - 2*q. Let z be c(n). Solve 11*m - z = 7*m for m. 4 Suppose 2*i = 43 - 19. Let u(m) = -44 - 16*m + m**2 + 60 + 3*m. Let h be u(i). Solve 4 = 2*r - h for r. 4 Let z(x) = x**2 - 134*x + 4579. Let v be z(70). Solve 3*s - 123 = -v for s. 8 Suppose 1 - 41 = -5*u. Suppose -4 = -u*q + 6*q. Suppose 2 = -q*v + 6. Solve 3*j - v = 4 for j. 2 Let a be (-5 - (9 - 198))*1. Suppose -65*o - a = -88*o. Solve 4*p + 8 + o = 0 for p. -4 Suppose -6*k = 90 + 84. Suppose -5*w + 164 = p - 5, p = 4. Let t = k + w. Solve 0 = m - 3*m - t for m. -2 Suppose -22 = -3*n - 4*g - 26, 26 = -4*n + 5*g. Let c be 4 - (1/n + 27/(-4)). Solve 13*u = c*u - 4 for u. -2 Let m(h) = -70*h - 5. Let d be m(1). Let v be (43/(-129))/(1/d). Solve -3*a = -v + 40 for a. -5 Suppose 0*k - 3*z - 19 = 4*k, -3*z - 23 = 5*k. Let l be 9 - 10 - (k/2 + -3). Solve l*y + y - 10 = 0 for y. 2 Suppose -12*j - 61 + 13 = 0. Let u be 7 - (-14 - -8 - j). Solve u*i - 15*i = -24 for i. 4 Let l(d) be the first derivative of -d**3/3 - 9*d**2 - 9*d - 5. Let z be l(-18). Let g be (0 - (-2)/(-7))/(z/63). Solve 0 = 3*m + g*m + 5 for m. -1 Suppose 12*r + 2538 = 60*r - 1542. Solve -6 = -13*g + r for g. 7 Let p = 13124 + -13126. Suppose 0 = -2*q + 2*f - 14, 5*q - 4*f + 26 = -14. Let a be (-14 - q)*3/p. Solve 0 = a*x - 4 + 13 for x. -3 Let z = 9225 - 9037. Solve -8*g - 39*g = -z for g. 4 Let h(z) = -6*z - 4*z - 10*z - 7*z + 13*z + 117. Let m be h(7). Solve m*r = 18*r + 2 for r. 2 Suppose 11*v - 87*v = 20*v - 6336. Solve -5*a - 6*a = -v for a. 6 Let v be 4/3*(-18)/(-4). Let o = 574 + -524. Let t be 31/(-93) + o/v. Solve t = -5*k + 3 for k. -1 Suppose 0 = 9*f + 87*f. Solve f = -10*g - 2*g + 12 for g. 1 Let z(m) = -m**2 + 9*m + 245. Let l be z(-11). Solve l + 26 = -51*q for q. -1 Let h(u) = -u + 9. Let w be (-4 - -4)/4 - (11 - 1). Let p be h(w). Let y(g) = -g - 3. Let x be y(-6). Solve 4*d - x + p = 0 for d. -4 Let x be 4/10 + 26/10. Suppose j - 18 = -4*h, 0 = 4*j - 7*h + 2*h + 12. Suppose -a = b - 3, x*a + 5 + j = 5*b. Solve -4 = b*i + 2*i for i. -1 Suppose -8*m + 12*v - 14*v = -90, 36 = 4*v. Solve -m*u = 1077 - 1149 for u. 8 Suppose p - 4*z = -9*z + 107, 2*z - 386 = -3*p. Let k be ((133/15)/((-30)/180))/(8/(-20)). Suppose k*g = p*g. Solve 4*f = -g*f for f. 0 Suppose 4*j = 2*d - 20, 5*d - 4*j = 43 + 1. Let i be ((-10)/d)/((-2)/8). Solve -p = -i*p + 4 for p. 1 Suppose -3*m - o + 124 = 0, 2*o = 3*m + 7*o - 128. Suppose m*a - 48*a + 84 = 0. Solve 4*q = 7*q + a for q. -4 Suppose -1459*y + 48 = -1451*y. Solve -y*z - 43 = -49 for z. 1 Let k(b) = 26*b - 3406. Let j be k(131). Solve 30*x + 26*x + 112 = j for x. -2 Let c(y) = -5*y + 11. Let f(s) = -14*s + 33. Let h(u) = 17*c(u) - 6*f(u). Let q be h(-13). Solve q*k = 3*k - 2 for k. 2 Let t = -31942 + 31964. Solve -16*m - t = 6*m for m. -1 Let r be 0*(-4)/6*33/44. Let k = -76 - -79. Let g be ((0 - r) + -1)/(2 - k). Solve 2*w - 5 + g = 0 for w. 2 Let x(h) = -14*h**2 + 301*h - 21. Let w be x(21). Solve -32*a + 2 = -w for a. 4 Suppose 0 = -3*q - 3*x + 30, -q - 4*q - 3*x = -46. Let f be 6/(12/q + 0). Suppose 4*u = -y - 3, -399*y + 6 = 3*u - 401*y. Solve u*b = -4*b + f for b. 1 Let o be (3/2)/((-204)/(-24) + -8). Suppose 5 - 17 = 5*k - o*w, 3*k + w - 4 = 0. Solve -3*i - 10 + 16 = k for i. 2 Suppose 18 = -3*h - 39. Let x(y) = y**2 + 21*y + 2. Let j be x(h). Let w be (-2)/8 - 9/j. Solve w = -4*b - 0*b - 20 for b. -5 Let r be (210/(-140))/((-6)/20). Let d(p) = 3*p**3 - 16*p**2 + 6*p + 3. Let x be d(r). Solve 6*b - 4*b - x = 0 for b. 4 Suppose 3*t = 3*c, c - 4*t + 0 + 21 = 0. Solve -c*p - 497 = -476 for p. -3 Suppose 26*n + 96 = 2*n. Let t(b) = -b**2 + 16*b + 82. Let g be t(n). Solve -2*j = -12 + g for j. 5 Let v(h) = h - 1 + 3 - 14 + 7*h. Let i be v(9). Let j = i + -58. Solve m + j = 3*m for m. 1 Suppose -48*q + 179*q - 2096 = 0. Solve 0 = -q*k + 30 - 62 for k. -2 Suppose -2*p + 41 = 152*x - 149*x, -4*p - x = -87. Solve p*g - 848 = -1024 for g. -8 Suppose -4*d + 2*l + 56 = 0, -d + 5*d = -l + 50. Solve d*j + 11 = 24*j for j. 1 Suppose -6*n = -5*n - 3. Let u be 4 - 108/(0 - n). Let r = u + -38. Solve r*t = -2*t for t. 0 Suppose -3*b = 4*t - 60, -50 = -588*t + 585*t - b. Solve t*y + 26*y = -88 for y. -2 Let b(h) = 2*h**3 - 130*h**2 - 131*h - 60. Let l be b(66). Solve -9*t - l = -60 for t. 6 Let b(o) = -o**3 - 2*o**2 + 2. Let k be b(-2). Let j(c) = 4*c**2 - 58*c + 123. Let q be j(12). Solve -k = -u + q*u for u. -1 Let x be -5 - (0 - (314 + -1 + -5)). Let r = x - 301. Solve -21*v - r = -22*v for v. 2 Let z = -25 + 27. Suppose -3*r - 67 = -2*s, -2*r + z*s - 12 - 30 = 0. Let w = r - -25. Solve 25 = 5*l - w*l for l. 5 Let r(b) = 5*b**2 + b - 2 + 0 + b**3 + 3*b + 2*b**2. Let o be r(-6). Suppose -c + 12 = o. Solve 4 = -q + c*q for q. 4 Let d(k) = 18*k**3 - 14*k**2 + 23*k - 10. Let w be d(2). Solve 13*g = w - 202 for g. -6 Let m(h) = -10*h + 6. Let v be m(-5). Let w be ((-36)/10)/((-36)/600). Let i = w - v. Solve -x = i*x for x. 0 Let x = 87 - 83. Suppose 0 = 5*g - 3*n - 101, 3*n + 2 + 4 = 0. Suppose p = g - x. Solve q - p = -2*q for q. 5 Suppose 3*f = -o + 84, -6*f = -3*f - o - 84. Solve -f = 93*g - 86*g for g. -4 Let p(f) = -2*f + 35. Let n be p(0). Let q be 0 - (3 - 2) - n/(-7). Suppose 16 = 5*b - q. Solve 0 = -3*y + 5*y + b for y. -2 Suppose 5*t = -4*m - 1230, -187 - 59 = t - m. Let d = -239 - t. Solve d + 3 = 5*w for w. 2 Suppose 5*i = s + 63, -13 + 4 = -i - s. Suppose 0*m + 40 = 4*m. Suppose t - i = -3*o, 3*o + m = -2*t + 25. Solve -x + o = 2 for x. 1 Let a(t) = 20*t**2 + 95*t + 6. Let b be a(-5). Solve 32*r - b*r - 6 = 0 for r. 6 Suppose 0 = -8*l - 808 + 872. Solve -23 + 7 = -l*n for n. 2 Suppose 0 = f + 3*v - 35, 5*f + 8*v - 7*v = 175. Solve 134*s = 141*s - f for s. 5 Let r be (-62)/(-22) + (-3)/((-363)/22). Let x be -3*2/(-33) + (-171)/(-209). Let c be (-1 - x)*(-20 + 18). Solve -2 = r*v + c for v. -2 Let l = -84 + 88. Suppose -2*h = -l, f = -5*h - 0*h + 14. Solve o = -f + 6 for o. 2 Suppose -2*b + 0*b + 30866 = 30584. Solve -b*j + 104 = -128*j for j. 8 Let y(a) be the second derivative of 2*a**3/3 - 5*a**2/2 - 8*a - 3. Let u be y(2). Solve 2 = b - u for b. 5 Let c be (127 + -133)/(3/(-2)). Solve -c*n + n = 3 for n. -1 Suppose -5*r = -3*d - 306, 0 = -r + 3*d - 26 + 80. Solve 0 = 37*v - 26 + r for v. -1 Let z = 23 + -23. Suppose 6*m - 210 = -z*m. Solve 0 = 5*i + 2*i - m for i. 5 Let t(g) = g**2 - 15*g - 15. Let n be t(16). Suppose 6 = v - n. Suppose 2 = v*p - 6*p. Solve p*u + 2*u - 16 = 0 for u. 4 Let d = 1400 + -992. Let i = -406 + d. Solve i*m = -m for m. 0 Suppose -2*d - 278 = -s - 7*d, 4*s - 1308 = 8*d. Solve -s*k + 9 = -304*k for k. 1 Let j be (-1)/2*(-58 - (0 - 40/(-4))). Solve 20*f - j = 26 for f. 3 Let u = 121 + -113. Let d be (-2)/8 - 1/(-4). Suppose -4*n + d = -u. Solve n*h - 17 = -7 for h. 5 Suppose 5*s - 8*s + 54 = 3*z, 2*s - z - 36 = 0. Let f be ((-27)/s)/(-2*(-2)/(-8)). Solve f*x = 3 - 9 for x. -2 Suppose 2*i + 2*d = -4, 2*i + 4*d = 3*i - 13. Let z be (-18)/(-2) + 9 + -
{ "pile_set_name": "DM Mathematics" }
= j**3 + 18*j**2 + 39*j + 129. Let z be n(-16). What is the greatest common factor of z and w? 17 Let p = 176 + -8. Suppose -4*x + 18 + 78 = 0. Calculate the highest common factor of x and p. 24 Let q(d) = -d**2 - 29*d + 23. Let w be q(-7). What is the highest common factor of w and 295? 59 Let t(l) = -8*l - 190. Let o be t(-24). Let g be ((-2)/1)/(1/(-135)). Suppose x - g = -o*x. Calculate the highest common divisor of 18 and x. 18 Suppose -2*j = -6, -3*s - 5*j + 888 = -j. What is the highest common divisor of 4 and s? 4 Let t be ((-12)/2)/(1 - 2). Suppose 2*d - 2*u = t*d + 134, 5*u - 85 = 2*d. Let i = -13 - d. Calculate the greatest common factor of 44 and i. 22 Let z(b) = 4 - 10*b - 4 + 11*b + 9*b**2. Let x be z(-2). Suppose 5*f - x = 21. Calculate the greatest common factor of f and 88. 11 Let l = 2830 + -1452. Calculate the highest common factor of 53 and l. 53 Let n be (-80)/(-6)*(-75)/(-2). Calculate the highest common divisor of 10 and n. 10 Let b(j) = -j**3 + 13*j**2 + 16*j - 18. Let o be b(14). Let v = 9 + 6. Calculate the greatest common factor of v and o. 5 Suppose -19*w = -6*w - 7371. Calculate the highest common factor of w and 63. 63 Suppose 0 = 49*x - 1648 - 3938. What is the greatest common divisor of x and 76? 38 Let h be ((-9)/(-15))/(6/30). Suppose -4*b + 3*q + 279 = 0, -h*b - q - 118 = -337. Let f = 3 - -9. Calculate the highest common divisor of b and f. 12 Let b = -13 + -37. Let t be 26/325 - 746/b. Let f be ((-10)/8)/((-3)/72). Calculate the highest common divisor of t and f. 15 Let w(a) be the first derivative of a**4/4 + 4*a**3/3 + a**2 + a + 7. Let s be w(-3). Suppose -n = -s*n + 627. Calculate the greatest common factor of 19 and n. 19 Let l be 8*16 - 1 - -1. Let a(y) = y**2 + 7*y + 15. Let b be a(-8). Let f = 39 - b. What is the highest common divisor of l and f? 16 Suppose 0*j - 6*j + 102 = 0. Let b(k) = 5*k - 2. Let g be b(-2). Let i = j + g. Calculate the greatest common factor of 20 and i. 5 Suppose -14*w + 5*v - 31 = -16*w, -2*w = -5*v - 1. Let y(j) = -j**3 + j**2 - j + 40. Let l be y(0). Calculate the highest common factor of l and w. 8 Let r = -18 + 36. Suppose 0 = 2*k - 4*k - 3*q - r, 3*q = k. Let v be -7*3/k*2. Calculate the greatest common divisor of 1 and v. 1 Let m(g) = 108*g - 2105. Let v be m(20). Let x(o) = -22*o**3 - 3*o**2 - 2*o - 3. Let r be x(-2). What is the greatest common divisor of v and r? 55 Suppose -4*u + p + 652 = 0, 49*p - 46*p = -12. What is the highest common factor of 90 and u? 18 Suppose 3*b = q + b - 10, 0 = 4*q + 2*b - 50. Let p(m) = -m**2 - 23*m + 18. Let r be p(0). Calculate the highest common factor of q and r. 6 Let u be (-12180)/(-140)*2/6. Calculate the highest common divisor of u and 3567. 29 Let m = -4 + 5. Let w be (-12)/(-16)*(-84)/(-9). What is the greatest common factor of m and w? 1 Let n = 907 + -553. Suppose 4*g - 3*q - 701 = 0, 0*g - n = -2*g - 2*q. Calculate the greatest common factor of g and 16. 16 Let u = 57 - 53. Let y be (u - -1*14) + 2. Calculate the highest common factor of 8 and y. 4 Let n = -19 - -36. Let v(s) = -152*s**2 + s. Let k be v(-1). Let u be 3/(-9)*0 - k. Calculate the greatest common factor of u and n. 17 Let n = -18 - -109. Calculate the greatest common divisor of n and 39. 13 Let w = -1910 + 3746. What is the greatest common factor of w and 36? 36 Let c = 317 + -277. What is the highest common factor of 8 and c? 8 Let v(q) = 63*q + 196. Let a be v(0). Calculate the highest common divisor of 441 and a. 49 Suppose 0 = -14*x + 1998 + 10602. What is the highest common factor of x and 60? 60 Let v = -26 + 59. Let t be ((-4)/(-3))/(22/v). What is the greatest common divisor of 1 and t? 1 Let q = -665 - -679. Calculate the highest common factor of 175 and q. 7 Let t be (-760)/(-30)*((-42)/(-8) - 0). Suppose 4*x = 68 + 8. What is the highest common divisor of x and t? 19 Let q(h) = 6*h**2 - 2*h. Let b be q(1). Suppose b*c - 19 = -5*f + 2, 0 = -4*f - 4*c + 20. Calculate the highest common factor of f and 7. 1 Suppose 29 - 194 = -15*t. Calculate the greatest common factor of 319 and t. 11 Let z be (-19)/(-8) - 81/216. Let k be 4*1/z*177/6. What is the highest common factor of k and 649? 59 Let u(y) = 4*y**2 - 12*y - 52. Let m be u(-4). Calculate the greatest common divisor of 390 and m. 30 Suppose 3*t + 487 = 529. Let h = 7 - 2. Suppose 0*d + 3*d + 76 = h*f, -2*f + 3*d = -34. Calculate the greatest common divisor of t and f. 14 Let r(y) = y - 4. Let h be r(0). Let a be 1/(2/h*18/(-207)). Calculate the greatest common divisor of 92 and a. 23 Let r = 1592 - 1004. Calculate the greatest common divisor of r and 63. 21 Let h(s) = -s**3 - 14*s**2 - 17*s + 12. Let z be h(-13). Suppose 3*i - 177 = -3*l, -3*l + z = -2*l + 2*i. Calculate the highest common divisor of 36 and l. 18 Let j(d) = 4*d**2 + d - 7. Let t be j(5). Suppose -y = -3*k + 5 - 35, -3*y = -k - t. What is the highest common factor of 99 and y? 33 Let l be 305*((-640)/(-50) - 12). What is the highest common divisor of 24 and l? 4 Let g be (-36)/(-30)*(-60)/(-24). Calculate the greatest common factor of 183 and g. 3 Suppose -7*v = -35*v + 2156. What is the greatest common factor of v and 33? 11 Let r be -2 - 20/(-2 + 6) - -2. Let w(t) = 4*t**2 + t - 7. Let k be w(r). What is the greatest common divisor of 11 and k? 11 Let f be 1 + (0 - -4) + 0. Let p be ((-2)/(-5))/((-3)/(-15)). Suppose x - 221 = -5*a - x, -p*x = -3*a + 139. Calculate the greatest common factor of a and f. 5 Suppose -14*y = 957 - 2623. What is the highest common factor of 68 and y? 17 Let u be (-64370)/(-185) - (-18)/333. Calculate the highest common divisor of u and 96. 12 Let b(t) = -24*t + 34. Let l be b(0). What is the highest common divisor of l and 51? 17 Let n(o) = 8*o**2 - 28*o. Let l be n(5). What is the highest common divisor of l and 15? 15 Suppose 6*a - 54 = 90. Calculate the greatest common divisor of 168 and a. 24 Let i = 19 - 938. Let a = -446 - i. Calculate the highest common factor of 43 and a. 43 Suppose 3*z + 0*h + h = 64, 0 = 2*z - 2*h - 48. Let j be -1*z*(-2)/4. What is the highest common divisor of j and 77? 11 Let b be 13 - (2 + (-4)/2) - 0. Suppose -6*c = b - 1309. Calculate the highest common divisor of 27 and c. 27 Let u = 797 - 780. Calculate the highest common factor of 119 and u. 17 Suppose 0*z + 13 = z. Let i be ((-64)/(-16))/(-2 + (-20)/(-9)). Let u = i - z. What is the highest common factor of u and 50? 5 Let f be ((-112)/(-70))/((-4)/((-17120)/4)). Calculate the greatest common factor of 16 and f. 16 Suppose 3*p + 2*p + 5*f = 15, -4*p - 5*f = -12. Let s(t) = -8*t + 51. Let v be s(6). Calculate the highest common factor of p and v. 3 Let r be 478/6 + 3/9. Let y(l) = 5*l**2 - 4*l - 1. Let i be y(3). Suppose -i = -2*j - 2*j. Calculate the highest common divisor of r and j. 8 Let i = 10 - 13. Let r(o) be the first derivative of o**4/4 + 5*o**3/3 + o**2 - 4*o - 5. Let g be r(i). What is the greatest common factor of 20 and g? 4 Suppose 2*y + 3*a - 37 = -2*a, -y = -5*a + 4. Let x be (-44)/(-6)*(-9)/(-3). What is the highest common divisor of x and y? 11 Let a(q) = -5*q - 15. Let c be a(-7). What is the greatest common divisor of 36 and c? 4 Let u = -29 - -41. Let y be 6/21 - 584/(-14). What is the greatest common factor of u and y? 6 Let n = -973 - -1703. Suppose 214 = -4*t + n. Let h = t - 66. What is the greatest common divisor of h and 42? 21 Suppose -5*k - 233 = -323. Calculate the highest common divisor of k and 60. 6 Suppose 0*z = -5*x + 4*z + 509, -4*z = -16. What is the greatest common divisor of x and 189? 21 Let u(b) be the first derivative of -2*b**3/3 - 13*b**2/2 - 6*b + 1. Let h be u(-4). Calculate the highest common factor of 98 and h. 14 Let k be (-39 + 42)/(3/416). What is the greatest common divisor of k and 13? 13 Let s(u) = -u. Let v(w) = -20*w**2 + 8*w. Let f(q) = -8*s(q) - v(q). Let d be f(1). Calculate the greatest common factor of d and 8. 4 Let i be (16/(-12))/(2/(-6)). Let g(f) = 18 + 2*f + 11 - 7 + i. Let a be g(-11). What is the highest common divisor of 6 and a? 2 Let o be 21024/234 - (-4)/26. Suppose -s + 5 = -0*s. Calculate the highest common divisor of s and o. 5 Let c = -426 + 750. Suppose -5*q + c = 4*q. What is the highest common divisor of q and 9? 9 Let t = 337 - 2
{ "pile_set_name": "DM Mathematics" }
ferentiate x(a) with respect to a. 8*a Let j(m) be the third derivative of -67*m**8/48 - 31*m**4/24 + m**3/2 + 231*m**2. What is the second derivative of j(u) wrt u? -9380*u**3 Let m be (-2)/10 + 286/55. What is the third derivative of 0*r**2 - 140*r**5 + 126*r**m - 4*r**2 - r**2 wrt r? -840*r**2 Let f(q) = -5*q**3 - 6*q + 1. Let p(d) = 9*d**3 + 13*d - 2. Let c(r) = 11*f(r) + 6*p(r). Differentiate c(k) wrt k. -3*k**2 + 12 Let b(o) = 107*o - 146. Let g(n) = -52*n + 72. Let m(y) = -3*b(y) - 7*g(y). Differentiate m(h) with respect to h. 43 Let x(r) = 45*r - 28. Let k(l) = 44*l - 27. Let g(q) = 4*k(q) - 3*x(q). Let h(j) = 42*j - 25. Let y(i) = -5*g(i) + 4*h(i). What is the derivative of y(p) wrt p? -37 Let p(j) be the first derivative of 179*j**4/2 + 41*j**2/2 - 10*j - 183. What is the second derivative of p(w) wrt w? 2148*w What is the derivative of -316*a + 43 - 262*a + 9 + 489*a wrt a? -89 What is the second derivative of -94 + 3*t**2 - 149*t**5 - t**2 - 6*t + 137*t**5 + 0*t**2 + 5*t wrt t? -240*t**3 + 4 Find the first derivative of 5*k - 2 - 71 - 204*k**2 + 205*k**2 wrt k. 2*k + 5 Let h(s) be the second derivative of 0 + 0*s**4 - 17/20*s**5 + 0*s**3 - 12*s + 9*s**2. Differentiate h(q) wrt q. -51*q**2 Let j(i) be the first derivative of 111*i**4/2 - 89*i**3/3 + 2*i + 21. What is the third derivative of j(a) wrt a? 1332 Suppose 0 = -3*w + 38 + 25. Let j = 25 - w. What is the second derivative of n**4 + 3*n**j + n**4 + n wrt n? 60*n**2 Let b(d) be the third derivative of 3*d**5/40 + d**4/6 - 17*d**3/6 + 2*d**2. Let w(t) be the first derivative of b(t). Differentiate w(g) wrt g. 9 Suppose 21*i - 126 = 18*i. Find the third derivative of 0*j + 10*j**2 - i*j**2 + 2*j - 3*j**4 wrt j. -72*j Suppose 14*d - 755 - 1051 = 0. Find the third derivative of -43*y**6 + 64*y**3 - d*y**3 + 65*y**3 - 51*y**2 wrt y. -5160*y**3 Let n(l) be the first derivative of 8*l**7 - 89*l**3/3 - 86. Find the third derivative of n(z) wrt z. 6720*z**3 Let q(g) = g**2 + 18*g + 41. Let k be q(-19). Differentiate 17 + 6*o - k + 36*o - 2*o wrt o. 40 Let z(u) = u**3 - u**2 + u. Let r = -3 - -6. Let y(o) = -14*o**4 - 3*o**3 - 12*o**2 - 3*o. Let t(v) = r*z(v) + y(v). What is the third derivative of t(n) wrt n? -336*n Let m = 128 + -19. Suppose -f = 4*h - 8, -m = -3*f - 2*f + 3*h. Find the first derivative of 6*r**4 + f - 10 - 6 wrt r. 24*r**3 Let a(t) be the first derivative of -4*t**3/3 + 14*t**2 + 7*t - 11. Let p(k) be the first derivative of a(k). What is the derivative of p(s) wrt s? -8 Let n = -1692 - -1692. Let f(m) be the second derivative of 7*m + 0*m**3 + n + 2/5*m**5 + m**2 + 0*m**4. Differentiate f(v) with respect to v. 24*v**2 Let s(o) = 6*o**2 + 2*o - 2. Let x be s(1). What is the second derivative of 11*b - 24*b + x*b + 25*b**4 wrt b? 300*b**2 Let v(i) be the second derivative of -181*i**6/30 + i**4/6 + 16*i**3/3 + 7*i - 2. What is the third derivative of v(o) wrt o? -4344*o Let u(w) = 5*w - 4. Let h(x) = -x. Let d(v) = -6*h(v) - u(v). Let t be d(-2). Find the second derivative of -87*z**2 + 10*z + 87*z**t - 5*z**3 wrt z. -30*z Suppose 5*a - 30 = -5*o, 0*a + 18 = 2*a + 4*o. Suppose 3*m = -4*c + a, 3*m = -2*c - 0 - 3. What is the second derivative of 2*z + c*z + 5*z**2 - 6*z**2 wrt z? -2 Let u(c) be the first derivative of -43/3*c**3 + 0*c**5 - 2/3*c**6 + 0*c**4 - 10 + 0*c**2 + 0*c. Find the third derivative of u(l) wrt l. -240*l**2 Let i(m) be the second derivative of -1/2*m**3 + 0 + 3/2*m**2 + 1/6*m**4 + 4*m. Let d(g) be the first derivative of i(g). Differentiate d(n) with respect to n. 4 Let b(u) = 179*u**2 - 36*u - 2021. Let p(q) = -60*q**2 + 11*q + 674. Let l(n) = 2*b(n) + 7*p(n). What is the derivative of l(v) wrt v? -124*v + 5 Let j(i) be the second derivative of -47*i**7/42 + 34*i**3/3 + 143*i. What is the second derivative of j(c) wrt c? -940*c**3 Let t = -3 + 7. Let v be t/(-12) - 30/(-9). Find the first derivative of 18*a - 2*a**v + 2 - 18*a + 2 wrt a. -6*a**2 Let y(o) be the second derivative of 11*o**8/56 - 133*o**4/6 - 7*o + 6. Find the third derivative of y(u) wrt u. 1320*u**3 Let j be ((-10)/4)/((-95)/76). What is the third derivative of 15*f**6 + j*f**6 - 150*f**5 + 9*f**2 + 150*f**5 wrt f? 2040*f**3 Suppose -119 = -14*s + 35. What is the third derivative of -13*w + 9*w**6 + s*w**2 + 13*w + 4*w**6 wrt w? 1560*w**3 Suppose 2*z + 4 - 12 = 0. Let x = 31 - 26. Find the second derivative of 2*y**5 + 0*y + z*y - 4*y**x wrt y. -40*y**3 What is the second derivative of -108*z**2 - 14 - 59*z**2 - 37*z**2 - 8*z wrt z? -408 Let u(w) = 296*w**2 - 7*w - 505. Let p(s) = 148*s**2 - 4*s - 252. Let z(g) = 7*p(g) - 4*u(g). What is the derivative of z(q) wrt q? -296*q Let h be 209/22 - 10/4. What is the derivative of -4*p**2 - 3*p**2 - 4 - p**4 + h*p**2 wrt p? -4*p**3 Suppose 2*f - f + 4*g + 17 = 0, -25 = -5*f + 2*g. Let s be 6*1/f - -1. Find the second derivative of 3*i - 2*i - 3*i**s - i**3 + 2*i wrt i. -24*i What is the second derivative of -78*t**2 + 50*t - 49*t**2 + 214*t**2 wrt t? 174 Let w be (-6)/2 + -2 + 32. Find the second derivative of -192 - 25*l + 192 + w*l**4 wrt l. 324*l**2 Let h(t) be the first derivative of -t**6/6 + 7*t**4 - 100*t**3/3 - 176. What is the third derivative of h(j) wrt j? -60*j**2 + 168 Let u be (-12)/24*(0 - 4). Suppose -u*v = 3*v. What is the second derivative of 6*r + 2 - 2 + v - 7*r**2 wrt r? -14 Suppose -3*t - 5 + 11 = 0. What is the third derivative of 19*r**6 - 4*r**6 - 152*r**2 + 122*r**t wrt r? 1800*r**3 Let m(o) be the second derivative of 3*o**3 + 0 + 20*o - 7/3*o**4 + 0*o**2. What is the second derivative of m(r) wrt r? -56 Let a(m) = -m**4 - m**3 + 2*m**2 + m - 2. Let j(k) = 263*k**4 + 6*k**3 + 107*k**2 - 6*k + 12. Let v(n) = 6*a(n) + j(n). Find the third derivative of v(l) wrt l. 6168*l Let v(q) be the first derivative of 0*q + 0*q**3 - 2*q**2 - 5 + 5/2*q**4. What is the second derivative of v(z) wrt z? 60*z Let z(j) be the third derivative of 27*j**6/40 + 5*j**3/6 + 3*j**2 + 4. Differentiate z(i) with respect to i. 243*i**2 Let u(z) be the third derivative of 58*z**7/35 + 81*z**3/2 + 238*z**2. What is the derivative of u(t) wrt t? 1392*t**3 Suppose 4*j - 13 - 11 = 0. Let c(d) = 11*d + 14. Let n(p) = 23*p + 28. Let i(b) = j*n(b) - 11*c(b). Differentiate i(u) wrt u. 17 Let p(r) = 41*r**2 - 4*r + 42. Let u(x) = 9*x + 37*x**2 + 102 - 118*x**2 - 185. Let y(g) = 9*p(g) + 4*u(g). What is the derivative of y(d) wrt d? 90*d Let a(v) be the third derivative of v**8/336 - 13*v**7/105 - v**5/20 - 5*v**4/24 + 45*v**2. Find the third derivative of a(l) wrt l. 60*l**2 - 624*l Let f(t) be the third derivative of t**7/42 + t**6/30 + 17*t**5/15 + 3*t**2 + 23. Find the third derivative of f(w) wrt w. 120*w + 24 What is the derivative of 19*v**2 - 8*v**2 + 107 + v + 82 - 7*v**2 + 136 wrt v? 8*v + 1 Suppose 2*r = 9 + 71. Find the second derivative of -41 + 81 - 16*l**5 - 36*l - r wrt l. -320*l**3 Let l(n) be the third derivative of 0 + 0*n**3 + 4*n**2 - 2/35*n**7 - 1/4*n**4 + 0*n**5 + 0*n + 0*n**6. Find the second derivative of l(x) wrt x. -144*x**2 Let q(o) be the second derivative of o**7/42 - 37*o**5/20 + 16*o**3/3 - o**2/2 + 31*o + 1. Find the second derivative of q(s) wrt s. 20*s**3 - 222*s Let a(g) = 119*g**3 + 7*g**2 + 49*g + 3. Let l(f) = -60*f**3 - 3*f**2 - 24*f - 1. Let y(w) = -3*a(w) - 7*l(w). Find the second derivative of y(d) wrt d. 378*d Suppose x + 6 = 4*k - 0, -x + 6 = 2*k. Find the third derivative of -18*f**k + 5*f**2 + 17*f**3 + f**2 wrt f. 102 Let a(q) be the second derivative of q**6/3 - q**4/4 - q**3/6 - 67*q. What is the third derivative of a(p) wrt p? 240*p Let w = 17 - 15. Suppose 0*o + w*o = 4. What is the third derivative of 12*q**6 - 3*q**6 - 2*q**6 + o*q**2 wrt q? 840*q**3 Let z(i) be the third derivative of -i**8/1680 - 13*i**5/120 + 2*i**4/3 + 3*i**2. Let f(w) be the second derivative of z(w). Differentiate f(p) wrt p. -12*p**2 Let o(m) be the second derivative of 0*m**4 + 0 + 1/3*m**3 + 11/20*m**5 + 0*m**2 - m. What is the second derivative of o(i) wrt i? 66*i Suppose -13*q = -q. Let g(z) be the first derivative of q*z**2 - 2/3*z**3 - 2 + 3/4*z**4 + 0*z. Find the third derivative of g(a) wrt a. 18 Let a = -151 - -155. Find the first derivative of -5 + 0 + 3096*s - 2*s**a - 3102*s wrt s. -8*s**3 - 6 What is the th
{ "pile_set_name": "DM Mathematics" }
Give p(-21). -15 Let d(z) = z**3 - 15*z**2 - 26*z + 95. What is d(16)? -65 Let m(o) = o**2 - 557*o - 19466. What is m(-33)? 4 Let m(b) = -5*b**3 - 42*b**2 + 24*b - 23. Give m(-9). 4 Let c(d) = -2*d**3 + 11*d**2 - 7*d + 24. Calculate c(5). 14 Let g(i) = 2*i**3 + 10*i**2 - 45*i - 195. What is g(-6)? 3 Let j(u) = -u**3 + 32*u**2 - 57*u - 86. Give j(30). 4 Let q(r) = -430*r - 200801. What is q(-467)? 9 Let x(q) = -4*q**3 + 28*q**2 - 24*q. What is x(6)? 0 Let y(a) = -4076*a - 14. Give y(0). -14 Let p(r) = -35*r + 263. Give p(22). -507 Let v(l) = 2*l**2 - 9*l - 59. Give v(9). 22 Let g(n) = -2*n**3 + 11*n**2 - 28*n + 24. Determine g(3). -15 Let p(z) = 44*z - 3586. What is p(81)? -22 Let s(d) = 40*d + 174. What is s(-4)? 14 Let v(w) = -3*w**3 - 150*w**2 - 146*w + 31. Calculate v(-49). -18 Let f(k) = k**2 + 47*k + 107. Calculate f(-23). -445 Let k(z) = 3*z**3 - 27*z**2 - 6*z + 44. Calculate k(9). -10 Let z(w) = -w**3 - 11*w**2 + 336*w + 3499. Calculate z(-19). 3 Let h(s) = s**3 - 135*s**2 + 392*s + 522. Give h(132). -6 Let h(a) = 128*a + 19955. Determine h(-156). -13 Let d(h) = -2*h**3 + 90*h**2 - 89*h + 62. Give d(44). 18 Let m(k) = 26*k + 483. Calculate m(-19). -11 Let r(s) = -287*s - 13765. Determine r(-48). 11 Let n(u) = -76*u - 4540. Calculate n(-60). 20 Let l(f) = 1747*f + 38430. Determine l(-22). -4 Let j(h) = -4*h**2 + 214*h - 144. What is j(53)? -38 Let l(y) = -10*y**2 + 122*y - 26. Give l(12). -2 Let c(t) = -2*t**3 + 32*t**2 - 61*t + 64. Determine c(14). -6 Let v(q) = -19*q - 619. What is v(-45)? 236 Let n(a) = 11*a + 121. What is n(-3)? 88 Let j(f) = 2*f**2 - 32*f - 452. Give j(23). -130 Let v(i) = -2*i**2 - 80*i - 789. Calculate v(-19). 9 Let k(f) = f**2 - 13*f + 8. Give k(7). -34 Let x(a) = 14*a - 1971. Determine x(139). -25 Let o(j) = j**3 - 26*j**2 + 81*j + 147. What is o(22)? -7 Let q(x) = 474*x**2 + 11379*x + 82. Calculate q(-24). 10 Let o(w) = -w**3 + w**2 - 411*w + 1703. What is o(4)? 11 Let b(h) = -2*h**2 - 10*h - 4. What is b(-4)? 4 Let l(r) = 8*r + 36. Determine l(-5). -4 Let n(z) = -197*z - 246. Calculate n(-4). 542 Let w(h) = -h**3 - 104*h**2 - 7*h - 741. Determine w(-104). -13 Let l(r) = -r**3 + 12*r**2 + 149*r + 248. Give l(20). 28 Let v(a) = 6*a**2 - 64*a + 63. What is v(1)? 5 Let c(k) = 5*k**2 + k - 48. What is c(7)? 204 Let q(w) = -15*w**2 + 190*w - 4. Give q(12). 116 Let f(k) = k**2 + 43*k + 152. Give f(-38). -38 Let i(v) = -20*v**2 - 4*v - 12. What is i(-4)? -316 Let f(h) = 18*h + 204. Give f(-10). 24 Let k(x) = -96*x + 7773. Calculate k(81). -3 Let r(a) = -76*a - 1683. Calculate r(-23). 65 Let r(s) = s**2 - 82*s + 1508. What is r(28)? -4 Let d(g) = 5807*g + 34864. Determine d(-6). 22 Let z(s) = s**3 - 26*s**2 + 111*s - 2153. Determine z(25). -3 Let r(p) = 3298*p - 40. Calculate r(0). -40 Let w(l) = -112*l + 11927. Give w(106). 55 Let k(m) = -14*m**3 - 310*m**2 - 43*m - 33. Calculate k(-22). -55 Let i(v) = -164*v + 994. Calculate i(6). 10 Let y(z) = 56*z - 3307. What is y(59)? -3 Let t(z) = -6*z**2 - 4*z + 6. Give t(5). -164 Let u(i) = -142*i + 2440. Give u(17). 26 Let n(v) = v**3 + 6*v**2 - 6*v - 21. Calculate n(-6). 15 Let g(z) = z**3 + 107*z**2 - 808*z - 9. Determine g(7). -79 Let f(m) = -m**3 - 7*m**2 + 53*m + 62. Calculate f(-11). -37 Let o(r) = -r**3 - 1753*r**2 - 4*r - 2. Give o(0). -2 Let u(k) = -k**2 - 445*k - 37080. What is u(-334)? -6 Let l(k) = -9*k**2 + 8*k - 5. What is l(0)? -5 Let o(v) = 5*v - 83. Give o(0). -83 Let g(p) = p**2 - 63*p - 333. Give g(67). -65 Let u(w) = w**3 - 9*w**2 + 5*w - 148. Determine u(10). 2 Let c(o) = -39*o + 336. Give c(8). 24 Let f(a) = 18*a**2 + 305*a - 2147. What is f(7)? 870 Let u(x) = -x**2 - 25*x + 443. Determine u(0). 443 Let t(s) = -7*s**2 - 543*s - 838. Give t(-76). -2 Let g(f) = -1125*f + 3782. Give g(3). 407 Let q(l) = 127*l - 233. Calculate q(2). 21 Let l(u) = -2*u - 83. Calculate l(-24). -35 Let c(z) = 2*z**3 + 46*z**2 - 212*z + 106. Give c(-27). -2 Let d(m) = -m**2 + 2*m + 146. Calculate d(13). 3 Let p(k) = 9*k + 12. Give p(-18). -150 Let i(j) = 3*j**3 - 317*j**2 - 105*j - 114. Determine i(106). -8 Let p(h) = 4*h**2 - 42*h + 68. Determine p(9). 14 Let d(g) = g**3 - 41*g**2 + 87*g + 1029. Determine d(38). 3 Let b(p) = p**3 + 23*p**2 - 210*p + 18. What is b(-30)? 18 Let p(s) = -s - 142. Calculate p(-16). -126 Let f(a) = a**3 - 71*a**2 - 10*a + 706. Calculate f(71). -4 Let o(b) = 29*b - 208. Determine o(14). 198 Let x(d) = 1231*d + 3. What is x(0)? 3 Let p(z) = -z**2 + 104*z - 172. Determine p(104). -172 Let v(y) = -y**2 - 2*y - 20. Give v(10). -140 Let o(z) = -62*z + 9201. What is o(154)? -347 Let k(d) = -21*d**2 - 31*d - 55. Give k(-2). -77 Let g(m) = -33*m + 919. Give g(30). -71 Let a(z) = -z**2 + 15*z + 520. Calculate a(18). 466 Let x(n) = -n**2 - 6*n + 6. Calculate x(-8). -10 Let z(k) = -2*k**3 + 52*k**2 + 28*k - 701. What is z(26)? 27 Let j(k) = -k**2 + 19*k + 533. Give j(38). -189 Let l(z) = -z**2 + 10*z + 35. Determine l(-3). -4 Let a(l) = l**3 - 7*l**2 + 6*l + 13. What is a(6)? 13 Let n(r) = -71*r + 278. Determine n(4). -6 Let s(v) = -115*v - 546. What is s(-4)? -86 Let h(w) = 65*w - 1692. Give h(26). -2 Let l(j) = -j**3 + 3*j**2 + 87*j - 1. What is l(-8)? 7 Let k(y) = 7*y**2 + 233*y - 600. Calculate k(-36). 84 Let q(z) = z**3 - 18*z**2 - 27*z + 132. Calculate q(19). -20 Let u(z) = 53*z**2 + 28*z + 119. Give u(-4). 855 Let i(u) = -560*u - 4. What is i(-1)? 556 Let f(i) = i**2 - 141*i + 1632. Calculate f(128). -32 Let p(x) = x**2 + 53*x + 20. Give p(-49). -176 Let d(n) = n**3 - 7*n**2 + 8*n. Give d(3). -12 Let z(u) = 2*u**2 - 10*u + 202. What is z(0)? 202 Let g(q) = -63*q + 4536. What is g(81)? -567 Let a(f) = -6*f**2 - 638*f - 180. Determine a(-106). 32 Let h(l) = -5*l + 183. What is h(47)? -52 Let u(i) = i**2 - 340*i + 5495. Determine u(17). 4 Let c(m) = -1172*m + 3514. Determine c(3). -2 Let a(i) = -i**3 - 56*i**2 - 159*i + 3. Calculate a(-53). 3 Let g(d) = -d**3 - 32*d**2 - 70*d - 193. Give g(-30). 107 Let t(b) = b**3 + 78*b**2 - 5*b - 400. Determine t(-78). -10 Let l(a) = -818*a - 44991. What is l(-55)? -1 Let n(b) = 14*b + 392. Calculate n(-50). -308 Let z(u) = -102*u**2 + 8*u + 7. Give z(-1). -103 Let z(t) = t**2 - 174*t + 5371. Give z(40). 11 Let m(r) = 140*r + 414. Give m(-3). -6 Let a(b) = 32*b + 1413. Give a(-44). 5 Let j(h) = 23*h - 53. What is j(3)? 16 Let d(a) = a**2 - 58*a + 768. Give d(37). -9 Let o(g) = 19*g - 50. Determine o(2). -12 Let u(s) = s**2 - 205*s + 4185. Determine u(23). -1 Let p(l) = -9*l**2 + 9*l - 22. Determine p(2). -40 Let z(m) = 2*m**2 + 159*m + 821. Give z(-74). 7 Let d(o) = 2702*o - 10810. Determine d(4). -2 Let k(u) = u**3 - 26*u**2 - 119*u - 84. Determine k(30). -54 Let a(t) = 334*t + 51122. Give a(-153). 20 Let p(m) = -73*m**2 + 153*m + 4. What is p(2)? 18 Let k(x) = -4*x**2 + 3771*x + 15150. Calculate k(-4). 2 Let l(z) = -28*z - 1456. Give l(-54). 56 Let v(s) = -s**3 + 4*s**2 - 10*s + 40. What is v(8)? -296 Let p(u) = u - 88. What is p(-7)? -95 Let b(n) = 14*n + 276. Determine b(-20). -4 Let o(f) = -13*f**2 - 1129*f + 181. Give o(-87). 7 Let i(c) = -267*c - 278. Determine i(-1). -11 Let d(l) = l**2 - 248*l - 758. Determine d(-3). -5 Let f(z) = 2*z**2 - 35*z - 326. Calculate f(25). 49 Let c(t) = 2*t**2 + 83*t + 201. Calculate c(-39). 6 Let z(i) = -i**2 - 187*i - 2731. Determine z(-16). 5 Let u(c) = -c**3 + 17*c**2 + 26*c + 17. Determine u(18). 161 Let r(w) = 48*w - 16. Give r(-4). -208 Let q(m) = 836*m + 6688. What is q(-8)? 0 Let u(d) = 2*d**2 - 2*d + 13. Determine u(6). 73 Let y(l) = -172*l - 6208. Calculate y(-36). -16 Let o(w) = 45*w + 385. Calculate o(-9). -20 Let n(g) = -32*g**2 - 97*g - 191. Calculate n(-2). -125 Let i(a) = 35*a**2 - 322*a - 251. Give i(10). 29 Let d(f) = -24*f + 277. Determine d(-4). 373 Let j(u) = 63*u + 841. Calculate j(-13). 22 Let z(x) = 2*x**3 + 420*x**2 - 1263*x + 5. Calculate z(3). 50 Let w(a) = -a**3 + 10*a**2 + 60*a - 46. Determine w(14). 10 Let n(w) = 33*w**3 + 4*w + 3. Calculate n(-1). -34 Let t(l) = l**2 - 56*l - 300. Give t(-5). 5 Let z(l) = -294*l - 2049. What is z(-7)? 9 Let a(b) = -5*b**2 - 50*b + 78. What is a(-11)? 23 Let z(h) = 9*h - 247. Calculate z(45). 158 Let b(t) = 3*t**2 - 7*t - 687. Determine b(-20). 653 Let a(g) = 2*g**3 + 22*g**2 - 9*g + 185. Calculate a(-12). 5 Let t(j
{ "pile_set_name": "DM Mathematics" }
(-2)/y)/((-4)/912)? 6 Suppose 0 = 128*g - 21*g - 211004. What is the thousands digit of g? 1 Let s(y) = y**3 - 6*y**2 + 8*y - 13. Let m be s(5). Suppose -2*j + m*j = 7*j. Suppose -33 + 124 = 3*c - 4*g, -4*g + 20 = j. What is the units digit of c? 7 What is the tens digit of (2243 - -52) + (4 + -2)*(-5)/2? 9 Let u be ((-15)/(-6) - 2)*(-7 - -13). Suppose 3*q = -4*k - 48385, u*q = 2*q + 5. What is the units digit of 2/9 - k/225? 4 Let i = 45 - 38. Suppose -i*u - 626 = -9*u. Suppose -102 + 1 = -c + 3*h, -4*h - u = -3*c. What is the tens digit of c? 0 Suppose 0 = -4*c + 1718 + 1162. Suppose -c = 6*p - 10*p - w, 901 = 5*p + w. What is the hundreds digit of p? 1 What is the hundreds digit of 882015/(-254)*(-8)/5? 5 Let z(w) = 11*w**3 - 2*w**2 + 8*w - 183. What is the units digit of z(8)? 5 Suppose -s + 0*s + z - 1 = 0, 3*s + z + 15 = 0. What is the hundreds digit of (2 + (-106)/s)*3876/171? 6 Suppose -4*m + 7066 = z, 485*z - 2*m + 14144 = 487*z. What is the units digit of z? 4 Suppose 14 + 16 = 10*o. Suppose -o*k = -628 - 92. What is the tens digit of k? 4 Suppose 2*w - 5*g - 1830 - 1550 = 0, g - 3368 = -2*w. What is the units digit of w? 5 Suppose 10*p - 35846 = -8856. What is the hundreds digit of p? 6 Let z be (-14)/3*(5 + 1906/(-14)). Suppose -7*u + z = 2*u. What is the units digit of u? 8 Let k(j) = 2*j**2 + j**2 + 1031*j**3 - 1047*j**3 + 3*j. What is the tens digit of k(-1)? 1 Let h(s) = s**3 - 16*s**2 + 9*s - 24. Let w be h(15). Let k = w - -1022. What is the tens digit of k? 0 Let i = -11 - -14. Let x(d) = -d**3 - d**2 + 6*d + 2. Let t be x(0). Suppose m + i*m - t*p = 506, p + 381 = 3*m. What is the units digit of m? 8 Let x(m) = 434*m + 341. Let v(s) = s + 1. Let d(w) = 682*v(w) - 2*x(w). Let o be d(-1). What is the units digit of 24/9*o/8? 2 Let c be -3*1 - (-10 - -5). Suppose c*h - 8 + 0 = 0. What is the tens digit of h/6*(-324)/(-9)? 2 Suppose 13*i - 14*i = -9. Suppose 3*s + s + i = 3*t, s + t - 3 = 0. Suppose -15*y + 12*y + 450 = s. What is the tens digit of y? 5 Suppose -13 = -3*g + 128. Suppose -3*y + 2*l + 235 = 0, 3*l + 208 = 3*y - 26. Suppose s - y = g. What is the units digit of s? 6 Let x(c) = -5*c**3 + 3*c**2 - c - 25. Let q(z) = -2*z**2 + 6*z - 9. Let w be q(1). What is the hundreds digit of x(w)? 6 Let q(g) = -g**2 - 14*g - 11. Let a be q(-13). Suppose -l - 2*m = -2*l - a, -5*m + 2 = -l. What is the units digit of -4 + l/(6/(-393))? 7 Let t(u) = u**3 + 44*u**2 - 490*u - 311. What is the tens digit of t(-51)? 7 Let h(d) = 222*d**2 - 27*d - 8. What is the units digit of h(13)? 9 Suppose 2*z = 5*k - 10 - 10, -k + 3*z + 4 = 0. Let c(b) = 151*b - 93. What is the hundreds digit of c(k)? 5 Let q be (2/(-6))/(8 - (-438)/(-54)). Suppose 2*n = -h + 369, -q*h + 5*n - 7*n + 1111 = 0. What is the tens digit of h? 7 Let w = -47 - -66. Suppose 17*h - w*h + 4 = 0. Suppose -3*j = -2*z - h*z - 222, 0 = -3*j + 5*z + 225. What is the tens digit of j? 7 Suppose 6*f = 150 + 36. Suppose -f*a + a = -39120. What is the hundreds digit of a? 3 Let d be 11/((-330)/18) - 26/(-10). What is the tens digit of (-1 + -1 - -8)/(d/99)? 9 Suppose 10*m = 8*m + 5*m - 8391. What is the units digit of m? 7 Let n = 45 - 40. Suppose -5*k + 15 = -n. Suppose -k*c = 3*u - 311, 358 = 4*c - 5*u + 55. What is the units digit of c? 7 Let z(h) = -h**2 - 9*h + 164. Let t be z(-18). Suppose -3162 = -4*c + 3*x, 1588 = t*c - 5*x + 7*x. What is the hundreds digit of c? 7 Suppose 3*g = 3*c - 71253, 0 = 4*c - 5*g - 53887 - 41114. What is the ten thousands digit of c? 2 Let i = -5453 + 12751. What is the hundreds digit of i? 2 Let m = 2949 + 440. What is the hundreds digit of m? 3 Let c(f) = -13*f**3 - 34*f**2 - 92*f + 4. What is the thousands digit of c(-10)? 0 Suppose 8 = n + 1. Let l(r) = 3*r + 8*r - 2 - 5*r. What is the tens digit of l(n)? 4 Suppose -11 = r - 47. Suppose -r*m + 3558 = -30*m. What is the tens digit of m? 9 Let y(o) = -38*o**3 - 25*o**2 - 33*o - 78. What is the units digit of y(-10)? 2 Let w = -18446 + 32434. What is the ten thousands digit of w? 1 Let y be 2 + (6/9)/(6/18). Suppose 0 = 3*n + 2*s - 2629 - 1044, 5*n - 6119 = -y*s. What is the tens digit of n? 2 Let k(v) = -v - 8. Let n be k(-8). Let i be (-4)/8*158 + n. What is the tens digit of -1 - 0 - (i - -17)? 6 Let j be 3 - (4 - (1 + (6 - 2))). Suppose -3*w + j*o = -819, -5*w + 5*o + 1379 = 3*o. What is the hundreds digit of w? 2 Let v(h) = h**3 + 7*h**2 + 8*h + 5. Let r be v(-6). Let j(f) = -87*f + 259. What is the units digit of j(r)? 8 Let j = -482 - -490. What is the hundreds digit of 10/(((-16)/(-83))/j)? 4 Suppose 49*c - 112 = 42*c. Suppose -6032 = -c*x - 13*x. What is the hundreds digit of x? 2 Suppose 39*l - 450076 = -68*l + l. What is the tens digit of l? 4 Suppose 5*m = -9882 + 34547. What is the units digit of m? 3 Let y(l) = 4*l - 18. Let f be y(6). Let h(s) = -s**3 + 5*s**2 + 5*s + 5. Let c be h(f). Let j = c - -106. What is the tens digit of j? 0 Suppose -59026 - 1294 = -12*g + 217588. What is the tens digit of g? 5 Suppose -h = 7 + 100. Let o = -54 - h. Let u = 11 + o. What is the units digit of u? 4 Suppose 0 = 2*v - 7*v - 30. Let a(l) be the third derivative of l**5/30 + l**4/3 + 31*l**3/6 + 241*l**2. What is the units digit of a(v)? 5 Suppose -10 + 6 = 2*f. Let y(x) = x**3 + 3*x**2 + 3*x + 5. Let r be y(f). Suppose o + b = -0*o + 99, 0 = -2*o + r*b + 173. What is the units digit of o? 4 Let r(a) be the third derivative of -a**5/30 - 11*a**4/24 - a**3/6 - 19*a**2 + 2. What is the units digit of r(-5)? 4 Let f(j) = 14*j**3 - j**2 - 40*j - 46. What is the thousands digit of f(9)? 9 Let c = 38002 + -9713. What is the units digit of c? 9 Suppose 23*p = -16*p. Suppose -5*s = 4*v - p*v - 1766, s + 5*v = 349. What is the tens digit of s? 5 Suppose 3074*c = 3070*c + 40552. What is the hundreds digit of c? 1 Suppose -6859 + 2110 = x - 34604. What is the thousands digit of x? 9 Let l be -555*2*(-20)/8. Suppose 0 = 2*w - l + 1285. What is the units digit of w? 5 Suppose -54*k + 392 = -58*k. Let c = -37 - k. What is the units digit of (-29)/174 + c/6? 0 What is the tens digit of ((-108)/(-8))/3*30492/27? 8 Suppose 104*t - 3804775 = -1257191. What is the ten thousands digit of t? 2 Let t(u) = 0*u - 42 + 30 + u. Let w be t(9). What is the units digit of (w/4)/(1 + (-51)/48)? 2 Let t = -348 + 413. Let w = 130 + t. What is the hundreds digit of w? 1 Suppose -343*h + 351*h = 17936. Let c = h + -1579. What is the hundreds digit of c? 6 Let b(i) = -8*i + 17. Let m(q) = -8*q + 16. Let d(n) = 3*b(n) - 4*m(n). Let f be (-15)/8 + (-4635)/(-360). What is the tens digit of d(f)? 7 Let i = -241 + 245. Suppose -3*t + i*v + 29 = -1242, -2*v = 3*t - 1295. What is the units digit of t? 9 Let n = 24 + -21. Let y(w) = 14*w - 6. Let k be y(9). Suppose 332 = n*q - d + k, -4*d + 376 = 5*q. What is the units digit of q? 2 Let l = 4547 + 1628. What is the thousands digit of l? 6 Let o be 3/((-1)/5*(-210)/(-28)). What is the tens digit of -3*(o + 120/(-18))? 2 Let w(v) = -3*v**3 - 33*v**2 - 33. Let c be w(-11). What is the hundreds digit of (-43197)/c - (-1 - -1)? 3 Let f(p) = 3*p + 24. Let d be f(-8). Suppose 4*o + 0*o + 2*j - 10 = 0, -5*j + 25 = d. What is the units digit of o + 100 + -1*(-6 - -3)? 3 Suppose -5*i + 2190 = i. Suppose i + 282 = 4*b + 5*t, 8*t = 5*b - 880. What is the units digit of b? 8 Suppose -13*n - 5646 = -5*f - 17*n, -3*f = -2*n - 3370. What is the units digit of f? 6 Let q = -26 - 326. Let b = q - -744. What is the hundreds digit of b? 3 What is the hundreds digit of 3 - 6977*(2 + -3)? 9 Suppose 0 = -4*z - 0 - 16. Let g be 18/z + 12/8. What is the units digit of 108 + (1*-6 - g)? 5 Suppose 0 = 4*z + 4*p - 156344, 0 = z + 37*p - 35*p - 39094. What is the hundreds digit of z? 0 What is the hundreds digit of (-420)/(-42)*(-1)/2 + 3208? 2 Let d(f) be the second derivative of 35*f**3/6 + 199*f**2 - 256*f. What is the tens digit of d(22)? 6 Let t be (((-15)/(-2))/5)/(27/144). Suppose 8*v = 10*v + t. What is the tens digit of (v/10)/(5/(-150))? 1 Let t be -42 - (-8)/(8 + -4). Let s = t + 40. Suppose s = 9*a - 184 - 86. What is the tens digit of a? 3 What is the hundreds digit of 4/14 + (-2)/(-6) + 5749200/1512? 8 Suppose -2*f = 8*h - 129330, 13*f - 16170 = -h + 9*f. What is the units digit of h? 6 Let p = 159 -
{ "pile_set_name": "DM Mathematics" }
9 = 0. Solve 0*y + v = o*y for y. 3 Let v = -53 - -57. Solve v*z - 8 = -0 for z. 2 Suppose -u + 15 = 2*q, -5 + 0 = -q. Solve 4 = u*m - 1 for m. 1 Let c be (1/(-3))/((-1)/33). Suppose -b - c = -2*b. Suppose 1 = 3*g - b. Solve -2*u - 6 - g = 0 for u. -5 Let l be (-3)/(-5) + 2/5. Suppose -g = -2*k - 5*g - 20, g + 5 = 3*k. Solve -h + l - 6 = k for h. -5 Let d = 31 + -27. Solve -5*i + 4*i + d = 0 for i. 4 Let i = 4 + -12. Let v be -1 + 1 + 8 + i. Solve -3 = d - v*d for d. -3 Suppose -2*v + 13 = i, 3*v + 3*i = -v + 25. Suppose -v = 4*q - 27. Solve 2 = q*g - 23 for g. 5 Let x be (9/(-6))/(1/(-2)). Let p(n) be the first derivative of n**4/4 + 4*n**3/3 + n**2 + n - 1. Let s be p(-3). Solve x*r = 4*r - s for r. 4 Let a(n) = -n**2 - 9*n - 8. Let k be a(-6). Let o(s) = -5*s - 1. Let w be o(-1). Solve -w*m - k = m for m. -2 Suppose 3*c - 8 + 26 = 5*w, -5*c = 2*w - 1. Let u = 5 - w. Suppose a - u*a + 20 = 0. Solve a = -5*l + l for l. -5 Suppose 0 = 3*w - 19 + 7. Solve 0*r = -r + w for r. 4 Suppose 60 = 3*x + 51. Solve x*t = -6 - 9 for t. -5 Let z = -1 + 4. Let k be (0/z)/(3 + -1). Solve k = 8*a - 3*a - 10 for a. 2 Let g = 4 - 19. Let s be 244/10 + g/(-25). Solve -q - 4*q = -s for q. 5 Let n be (84/(-147))/(1/(-7)). Solve -10 = n*f - 2 for f. -2 Let g = -12 - -15. Solve -9 = -6*q + g*q for q. 3 Suppose -5*x + 0*x = 0. Solve x*z - 2 = -2*z for z. 1 Let o(b) = b. Let c(w) = -7*w + 9. Let h(i) = -c(i) - 3*o(i). Let q be h(6). Solve j + 2*j = q for j. 5 Let o(c) = -c**3 - 3*c**2 + 4*c + 2. Let u be o(-4). Let r(q) = 0 + 3 - 1 + q**2 - 4 - q. Let v be r(u). Solve l + 0 + 1 = v for l. -1 Let h = 3 - 0. Let t be 6/4 + h/6. Solve -6 = t*j - 0 for j. -3 Suppose 3*c - 4 = -c. Solve -5*u - 14 = c for u. -3 Let b(u) = -u + 1. Let q be b(-3). Suppose x = -q + 7. Let n be 1/x + (-23)/(-3). Solve 4 = -3*j - n for j. -4 Suppose 5 = -2*l - 3*w, -2*l - 2 = 6*w - 4*w. Solve 0 = -l*a - 1 - 3 for a. -2 Let t(i) = 3*i + 0*i + 3*i**2 - 2 + 1 - i**3 + 3*i. Let v be t(4). Solve 5*q + 8 = v*q for q. 4 Suppose -2*b + 6*b - 112 = 0. Let z be ((-2)/(-7))/(4/b). Suppose -5*s + 9 = -z*s. Solve i = -0*i - s for i. -3 Let i be 3 + (10 + -1)/(-3). Suppose i = y + y - 14. Solve -y = 5*h + 3 for h. -2 Let z(g) be the third derivative of -g**5/60 - 5*g**4/24 + 7*g**3/6 - g**2. Let v be z(-6). Let u(y) = 2*y + 1. Let l be u(v). Solve 2*d - l = 7 for d. 5 Let i(s) = 2*s**2 - 8*s - 8. Let f be i(5). Solve 4*b + 10 = -f for b. -3 Suppose 2*c = -0*c + 6. Let d = 6 - c. Solve -i + 1 = -d for i. 4 Let t be 1/(-2)*(0 - 6). Suppose -4*v - 3*x = -27, -2*v - t*x + 21 = -0*x. Solve v + 6 = 3*b for b. 3 Let d = 34 + -28. Let i be (9/(-2))/(2/(-4)). Suppose d*t = 3*t + i. Solve g = t*g + 8 for g. -4 Suppose -3 = -3*z + 12. Let i be (1/(-4))/(2/(-16)). Suppose 1 - 3 = -2*k, 3*p = i*k - 2. Solve p = -z*y + 2*y + 9 for y. 3 Suppose -3*f - 4 - 1 = -2*s, 2 = 4*s + 2*f. Let h be s + 1 + (-3 - -3). Solve 0 = 5*r - h*r for r. 0 Let j(s) = -2*s**2 + 3*s + 1. Let x be j(3). Let o be (2/x)/(1/(-12)). Solve -o*m = 2*m - 20 for m. 4 Let q be -1 - 2/2 - -2. Let i = 26 - 20. Solve -g - g + i = q for g. 3 Suppose 0 = 14*o - 16*o + 14. Solve -5*p + o + 13 = 0 for p. 4 Suppose 18 = 5*n + 3. Suppose 4*q = -3*a + 21, -q - 3*a - n = -5*q. Let p = 0 - -4. Solve 8 = q*u - p for u. 4 Suppose 3*o = -3*d + 9, -3*o + 21 = 3*d - 6*o. Solve -2*n - d = -13 for n. 4 Suppose 0*l + 10 = 5*l. Let j = -2 + l. Suppose j = 5*w + r - 24, -w - 6*r = -r - 24. Solve -2*m = w + 4 for m. -4 Suppose -v = -2 - 1. Suppose 0*u + 3*c = 3*u, -15 = -v*c. Solve -3*i - 17 = -u for i. -4 Let i be 195/21 - 4/14. Let x be 7 + -1 - (-1 - -4). Let a be (-2)/10 + (-7)/(-35). Solve a*c + x*c = i for c. 3 Suppose -5*h + 10 + 0 = 0. Let q be 2*(0 + -2 - -6). Suppose 5*w = 2*c + 16, 2 = -c + 4*c - w. Solve c*b + q = -h for b. -5 Let z = 17 + -3. Let p(d) be the second derivative of d**3/6 - 5*d**2 - 4*d. Let x be p(z). Solve 0 = 3*o - 4*o + x for o. 4 Let i = 0 + -4. Let y = 8 + i. Solve y = -d + 8 for d. 4 Let g = 1 + 6. Let q = g - 6. Let c be (-2)/(-2) + -1 + 1. Solve -x + q = -c for x. 2 Let z = 15 - 7. Let n = z - 3. Solve -13 = -2*y - n for y. 4 Suppose -6*w + 5 = -w. Suppose -3*z = -2*i + 6*i - 94, -5*i + 3*z = -104. Suppose -5*g = 3*f - 17, -2*g + 0*g - 5*f = -i. Solve p = w + g for p. 2 Let a = -15 + 25. Let g(f) = -3*f + 38. Let h be g(12). Solve a = -h*x - 0 for x. -5 Suppose -8 = -c - 1. Let q = -5 + c. Solve f = q - 1 for f. 1 Suppose 0 = -2*j - k + 8, 0 = -3*j + 5*k - k - 10. Let m be j/2 - -1*5. Solve -m*z + 10 = -z for z. 2 Let v(b) = 2*b**2 - b. Let o be v(-1). Let x = 200 + -197. Solve x = -o*f - 6 for f. -3 Let n = -114 - -117. Solve -k = -2*k + n for k. 3 Suppose 2*l = -8, 2*w + 0*w = -5*l - 118. Let c be (140/w)/(4/(-14)). Solve u + 4*u = -c for u. -2 Let g be (-1*5 - -2)/(-1). Suppose -28 = -4*h - 4*m, -22 = -2*h - 0*h - 4*m. Solve 3 = h*c - g for c. 2 Let a(n) = -n**2 - 11*n + 12. Let f(i) = i**3 - 5*i**2 + 3*i - 3. Let b be f(3). Let q be a(b). Solve 4*v + 4 + q = 0 for v. -1 Suppose -5*h - 3 = -18. Let o = 2 + -4. Let w be o/8 + (-26)/(-8). Solve -9 - w = -h*v for v. 4 Suppose -3 = 55*a - 58*a. Solve 0 = 2*g + a + 5 for g. -3 Let b(i) = 7*i - 1. Let h(v) = -3*v. Let d(k) = -2*b(k) - 5*h(k). Let w be d(-6). Let l(u) = -u - 1. Let p be l(w). Solve p*m = -m - 20 for m. -5 Suppose 0 = -3*v + 2*v + 5, 2*c + 5 = 3*v. Suppose -m - 5*x + 9 = -c*m, -5*x + 41 = 4*m. Solve -m*f = -0*f + 12 for f. -3 Let s(v) = v**2 + 7*v - 6. Let l be s(-8). Let f be (1/l)/(6/24). Solve 2*q = -f*q for q. 0 Suppose -2*w + 0*w + 4*c + 16 = 0, -5*w + 75 = -3*c. Let u(g) = -11*g. Let m be u(1). Let i = m + w. Solve -1 = 4*v + i for v. -2 Let t(i) = i**2 - 5*i + 6. Let h be t(4). Suppose -4*v + 5*v + 6 = 2*u, -h*u + 22 = 3*v. Suppose -v*n + 0 + 4 = 0. Solve 4*b - 3*b + n = 0 for b. -1 Let w = 91 - 88. Solve 2*n - w = 1 for n. 2 Suppose -3*m - 174 = -9*m. Solve 5*g - m + 4 = 0 for g. 5 Suppose 12*n + 174 = 174. Let l be -1 + (2 - 1) + 8. Solve n = -2*d + 2 + l for d. 5 Suppose -3*k = -u + 18, -7 = u - k + 3*k. Suppose -u*f - 6 = 0, 0*f - 11 = -5*t - 2*f. Solve -4*h + t = -17 for h. 5 Suppose 4*o - 3*o + 2 = 0. Let a be o/12 - 343/(-42). Solve -u - u + a = 0 for u. 4 Let g be (-21)/14 - 3/(-2). Solve g*h = 3*h for h. 0 Let k be 3*(-3 - 52/(-12)). Suppose -3*t + 15 = 4*z, -k*t - z = -17 - 3. Solve t*j - 17 = 8 for j. 5 Suppose 0 = 4*a - 0*a. Let h(w) = w**3 - 11*w**2 - 12*w + 4. Let b be h(12). Solve m + a*m = -b for m. -4 Suppose -14*x + 19*x - 20 = 0. Solve -2*h = 2*h + x for h. -1 Let a = 4 + -22. Let l = a - -35. Solve 4*y + l + 3 = 0 for y. -5 Let h be (1/(-2))/((-16)/96). Solve h*f + 6 = -6 for f. -4 Let i(q) = -5*q - 3. Let c(v) = 3*v - 4. Let g be c(4). Suppose 0 = -2*p + 5*x + g - 27, 3*p - 4*x = -18. Let w be i(p). Solve -4*n = -w - 5 for n. 3 Let c be 1 + 0 - (3 + -4). Suppose 4*t + 10 = 2*l, c*l - 4 = -2*t - 0. Solve 2*m - l*m = 0 for m. 0 Suppose 4*j - 2*j = 34. Let w = j - 13. Solve -2*o + 0*o = w for o. -2 Suppose -3*n + 10 + 6 = v, 3*n = -3*v + 18. Solve n*a - 1 = -6 for a. -1 Let w(r) = r + 1. Let s be w(4). Solve s*y = 25 - 10 for y. 3 Suppose 3 - 5 = -v. Suppose -w = -v - 0. Solve w*t + 6 = -4 for t. -5 Let p be -9*(16/6)/(-4). Suppose -3*a = l - 5, 5*a - l + p*l - 25 = 0. Solve 25 = -a*y + 5*y for y. 5 Suppose j = 4*b, j - 5*b + 2 + 0 = 0. Let y be ((-4)/j)/(2/(-36)). Solve 3 - y = 2*z for z. -3 Let p(c) = -c**3 - 10*c**2 + 10*c - 7. Let v be p(-11). Solve -m = v*m + 25 for m. -5 Let l(i) = -5*i**3 + i**2 - i - 1. Let m be l(-1). Suppose 20 = -2*z + m*z. Let w be (1 + 3 - 6) + 15. Solve -2*k = -w + z for k. 4 Suppose 5*z + 1 - 6 = 0. Let f be -4*1/2 + 8. Solve z - f = -5*s for s. 1 Suppose 2 = -0*o + 2*o. Let b = o + 0. Let c = -2 + 4. Solve -b = 3*f - c*f for f. -1 Let w(u) = -u**3 + 13*u**2 + 13*u + 18. Let x be w(14). Solve 2*y + x = y for y. -4 Let s(n) = n**2 + 6*n + 3. Let y be s(-6). Let d(b) = 2*b - 2. Let f be d(5). Suppose -9 - 41 = -2*v. Solve -y*u = -f*u - v for u. -5 Suppose 2*m = -5*l + 67, 4*l - 5*m + 10 = 57. Suppose v + 17 = 2*v + 4*x, -l = 3*v - 4*x. Let u = -10 - -19. Solve -v = 5*j + u for j. -2 Suppose 4*a - 6*a - 16 = 0. Let j = a - -8. Solve j = -t - 3*t - 20 for t. -5 Let o(a) = -2*a + 4. Let x be o(3). Let v be (-2 - -1)/(1/x). Su
{ "pile_set_name": "DM Mathematics" }
? d Let v = -0.21763 + -0.08237. Let x(z) = -z**3 - 3*z**2 + 5*z + 6. Let y be x(-4). Which is the smallest value? (a) v (b) y (c) 1 a Suppose -o + 7*o - 24 = 0. Let g = 3 - 9. Let r = g - -5. What is the second biggest value in o, r, -0.3? -0.3 Suppose 11*g = 23 + 21. Which is the smallest value? (a) 0.1 (b) -1.8 (c) 1/6 (d) g b Let i = -26 + -1. Let s = i - -26. Let x be (-6)/24 + (-21)/(-20). What is the third biggest value in x, -0.4, s? s Let v = -1.19 - 52.81. Let s = -50 - v. What is the biggest value in 7, s, 2/3? 7 Let v be (-18)/24 + ((-180)/(-16))/3. Which is the third biggest value? (a) 0.3 (b) 4 (c) v (d) 0.2 a Let o = -419/1010 + 3/202. Let s(d) = -9*d**2 + d. Let u be s(1). Let m be (-2)/u + (-18)/8. Which is the second biggest value? (a) o (b) 3 (c) m a Let t = 12.7 - 12.4. Let l = 8 - 15. What is the biggest value in l, -0.5, t? t Let s = -290 - -295. Let n = -3 + 0. What is the third biggest value in n, s, 6? n Let f be -1*9*(-4)/(-132). Which is the second biggest value? (a) f (b) -5 (c) 1 a Suppose 0 = 5*l + 118 + 37. Let g = -35 - l. What is the smallest value in g, -1.6, 0, -3? g Let w = 277.7 - 278. Which is the third biggest value? (a) w (b) -2.36 (c) 2 (d) 0.3 a Let v = 0.44 + -0.128. Let j = 0.012 - v. Which is the biggest value? (a) j (b) -1/4 (c) 1/45 c Let j be 46/(-11) + (-8)/(-132)*3. Which is the second smallest value? (a) j (b) 6 (c) 2 c Let a = 383.4 + -383. What is the third biggest value in 55, -4, a? -4 Let b = -2.1 - 0.6. Let i = -1.3 + b. What is the third biggest value in -10, i, -2? -10 Let j be (0*(-5)/30)/(-5). Which is the third biggest value? (a) -3 (b) 0.2 (c) j (d) -4 a Let g be (-1*1)/((-50)/(-400)). Which is the fourth biggest value? (a) -0.4 (b) 2 (c) -4 (d) g d Let i = 43 + -45.7. Let s = i + 1.7. What is the biggest value in 12, 2/7, s? 12 Let y be 36/(-10) + 3/5. Let c(s) = s - 12. Let i be c(11). Let h = i - y. What is the third biggest value in h, 5, -1? -1 Let k be (2/(-5))/((-156)/(-60)). Suppose -2*m + 6 = 3*i - 7*i, 5*i + 4*m = 25. Which is the third smallest value? (a) k (b) -0.4 (c) i c Let z = 58 - 58. Let r be (z - 4) + (-18)/(-5). Let s = 157 + -1725/11. What is the third smallest value in s, 0.3, r? 0.3 Let q = 1360 + -12238/9. Which is the biggest value? (a) q (b) -2/3 (c) 3/8 (d) 3/107 c Let i be 1 + -3 + (6 - (-4)/(-1)). Let t be (2/2)/((-21)/(i + 3)). What is the smallest value in -3, -3/4, t? -3 Let l be 1/(-3)*(-9)/4. Let o = -1.02 + 1. Let r = o - -0.22. Which is the third smallest value? (a) l (b) r (c) -2 a Let t = -10 - -14. Suppose 0 = -2*g + p - 23, 3 - 2 = g - 3*p. Let n be (-1)/(-4) + g/(-40). Which is the third smallest value? (a) t (b) n (c) 0.4 a Let o = -7 + 12. Let n be (7 - 342/48)*12/(-3). Which is the smallest value? (a) 2/7 (b) 1 (c) o (d) n a Let c = -15677/10454 + -2/5227. What is the second biggest value in -0.5, c, -3/14, 2? -3/14 Let m = -52.8 + 7.8. Let q = m - -45.1. Which is the biggest value? (a) q (b) -4 (c) 1 c Let g = -781.84 + 769. Let n = g + 13. Let c = -0.04 - n. What is the third biggest value in -0.5, 0.3, c? -0.5 Let l be 0*(11/(-2) - -5)/1. What is the smallest value in 1.3, 3, -2, l? -2 Let w = -695 - -694.7. Which is the second biggest value? (a) 0.02 (b) 3 (c) 1 (d) w c Let v = -0.3 + -0.1. Let y = 0 - v. Let k = 0.1263 + 0.0737. Which is the second smallest value? (a) k (b) y (c) 1/2 b Let g = 240 - 240. Which is the second smallest value? (a) g (b) 1/11 (c) -1.7 (d) -2/5 d Suppose 0*k + k + 17 = -5*p, 2*p = -2*k - 2. What is the fourth smallest value in -2/7, 2, p, -6/7? 2 Let g = -7.3 - -0.3. Let c be ((-2)/(-7))/(198/(-126)). What is the smallest value in g, c, -1? g Let x = -3.3 + 1.6. Let f = x + 3.7. Let t = f + 1. Which is the third smallest value? (a) t (b) 1 (c) -0.3 a Let q = 168.8 + -133. Let u = -36 + q. What is the third smallest value in u, 0.1, 0? 0.1 Let l = 7 + -11. Let p = 4520 - 4535. Which is the third biggest value? (a) -3/7 (b) l (c) p c Let j = -204 - -1018/5. Let l = 0.9 - -4.1. Which is the smallest value? (a) 3 (b) j (c) l (d) -3 d Let z = -6513/7 + 930. What is the smallest value in z, 5, -1/6? z Let l = 3953 + -3830.88. Let v = l - 120. Let p = v + -0.12. Which is the biggest value? (a) p (b) -0.1 (c) -0.4 a Let y = 15.75 - 10.75. Which is the smallest value? (a) 11 (b) 1 (c) y (d) 22 b Let x = 0.158 - 0.008. What is the third biggest value in -0.09, x, 1? -0.09 Let o = -132368039/499213 + -16/38401. Let x = o - -265. What is the third biggest value in x, -1/3, 2, 1? x Let m = -28 + 28.62. Let p = 1.12 - m. What is the fourth smallest value in -0.4, 2/5, p, -1? p Let q be ((-1 - 15) + 1)*5/(-15). Which is the biggest value? (a) 3 (b) 2 (c) q c Suppose -11*i + 11 = -0*i. Which is the smallest value? (a) -2 (b) 6/13 (c) i a Let f = 5.4 - 3.5. What is the second smallest value in f, 3/5, -5? 3/5 Let h = -8 - -7.9. Let g = 6.9 - 6.79. What is the biggest value in g, 3, h? 3 Let y(i) = -6*i - 19. Let f(u) = 7*u + 20. Let o(h) = -5*f(h) - 6*y(h). Let p be o(-13). Which is the third smallest value? (a) 2 (b) 5 (c) 4 (d) p c Let x = 9.07 + -9. Let b = x + -0.07. Let v = 397/3230 + -3/170. What is the third smallest value in -1/4, b, v? v Let z = 67 + -198. Let o be z/(-492) + 2/(-8). Let n = o + -385/984. Which is the second biggest value? (a) 1 (b) 2/3 (c) n b Let d = 262 + 262. Let v = d + -495.3. Let s = -29 + v. What is the third biggest value in s, 0, -2/15? s Let t = -7.79 - -11.79. What is the fourth smallest value in -26, 2/7, 2/15, t? t Let y = 296 + 439. Let t be 70/y*(-3)/2. Which is the third biggest value? (a) -4 (b) t (c) 2 (d) -1/6 d Let j = -1248.3 - -1248. Let t = -2.6 + 0.6. Let w = 425/6 - 71. Which is the biggest value? (a) j (b) w (c) t b Let o be 14/(-63) + ((-111)/108 - -1). What is the second smallest value in 0, 0.1, o? 0 Let b be ((-22)/72)/((-7)/154). Let q = 13/2 - b. Let d = 4 - 7. What is the biggest value in d, q, 0? 0 Let z be 66/(-40) - (-54)/135. What is the second smallest value in 3, -4, 104, z? z Let r be (-4)/(-15) - 2/(-6). Let y = -1.06 + 1.1. Let v = 0.46 + y. What is the biggest value in -2/21, v, r? r Let i = -1.3 + 0.3. Let v = 32.44 + -32.04. Which is the smallest value? (a) 1 (b) 5 (c) i (d) v c Let n(m) = -m**2 + m - 5. Let d be n(0). Let k = 38 + -53. Let j = k + 15.3. What is the second smallest value in j, d, 2/5? j Let m = 0.0328 + -2.0328. Which is the third smallest value? (a) 0 (b) 13 (c) m (d) 11 d Let r = 4.02 - 4.12. Which is the third biggest value? (a) r (b) -0.5 (c) 0.157 b Let f = -50 - 10. Let i = f + 123/2. What is the second biggest value in 1/5, 1/3, i? 1/3 Suppose 4*i = 2*i - 6. Let q = -736/5 + 148. Which is the third smallest value? (a) 3/4 (b) q (c) i b Let m = 0.42 + -3.42. Let t(u) = u**2. Let o be t(3). Let s be 8/(-6)*o/(-6). Which is the second smallest value? (a) m (b) s (c) -2 c Let z(y) = y**2 - 20*y + 62. Let j be z(16). Which is the third biggest value? (a) j (b) -5 (c) 0.07 (d) 2/9 a Let h = -97 - -86. Let x = 14 + h. Which is the third biggest value? (a) x (b) 5 (c) 0 c Suppose -50*n = -31*n + 19. Let t = 2.02 + -0.02. Which is the biggest value? (a) t (b) -0.1 (c) n a Let z = -840 + 848. Which is the fourth smallest value? (a) 1 (b) 5 (c) z (d) -5 c Let w = 12 + -14. Let p be 190/(-119) - (-3 - -1). Let r = -2/17 + p. Which is the biggest value? (a) -1 (b) w (c) r c Let m = 3297 + -3295. What is the smallest value in -2, m, -1, -2/11? -2 Let s(j) = -j**3 - 18*j**2 - 7*j + 17. Let f be s(-17). Let y = f - -1379/9. What is the smallest value in 0.1, y, 0.2? 0.1 Let h be (-3)/((-2)/32*(-78)/273). What is the biggest value in 0.2, -0.2, h? 0.2 Let f = 0.033 - -13.967. Let x = -19 + f. Which is the second biggest value? (a) x (b) 4 (c) 0.3 c Let l = 0.00919 + -0.30919. Let s = -2.5 - -2. What is the smallest value in 0.1, s, l? s Let i = 0.4 - 0. Let r = 1602 + -1599. Which is the smallest value? (a) i (b) 1 (c) -0.4 (d) r c Let f = 0.1 - 0. Let q = 5.3 - 4.3. Let j be 42/(-104) - 1/(-4). Which is the third smallest value? (a) f (b) j (c) q c Let v = 2 - 2.1. Let d = 0.08 + v. Let a = -0.1
{ "pile_set_name": "DM Mathematics" }
32 for i. -7 Suppose 5*u = 5*g + 1385, u - g - 2*g = 275. Let p = u - 267. Solve 0*i = -p*i - 44 for i. -4 Suppose -z - 2*z + 9 = 0. Let d(w) be the first derivative of -w**2/2 + w + 28. Let a be d(-5). Solve -z*n = -a*n + 3 for n. 1 Let k be (-19)/38 + 20/(-8) - (-228)/1. Solve 212*n = k*n + 65 for n. -5 Let r(p) = -p**3 + 112*p**2 + 346*p - 110. Let j be r(115). Solve -16 = -j*z - 41 for z. -5 Let i(d) = 7*d**3 - 120*d**2 + 23*d - 24. Let o be i(17). Solve -r - o = 12*r for r. -6 Suppose -4*q = -l + 94, l + 0*q - 94 = 3*q. Let s = -92 + l. Suppose -4*v + 19 = -2*d + d, 0 = 3*v - s*d - 8. Solve v*m = 2*m + 4 for m. 1 Let p(d) = -d**2 - 3*d + 43. Let h(b) = -2*b**2 - 5*b + 88. Let j(t) = 3*h(t) - 5*p(t). Let v be j(7). Solve -4*i + 0*i = v for i. 0 Suppose -3*x + 5*b + 7095 = 6896, -3*x - 2*b = -227. Solve 70 = -x*d - 514 for d. -8 Let i be -12 + 8 + 4 + 0. Suppose -v = -y - 14, -v - 4*y - 15 + 4 = i. Suppose -8*x = -13*x + 5. Solve -v = 5*h + x for h. -2 Suppose -5*j = -3*f + 83, -180 + 101 = -3*f + j. Solve -3*n = 8 - f for n. 6 Let w(z) = -8*z - 38. Let t be w(-5). Suppose -2*f = -5*k - 4 + 18, 0 = t*f - k - 2. Solve -f*n + 10 = 2*n for n. 2 Let g(m) = -150*m - 746. Let o be g(-5). Solve -2*z - 8*z = -o*z for z. 0 Suppose 0 = -32*g + 29*g + 4*n + 129, 2*n = g - 43. Solve 25*d + g - 118 = 0 for d. 3 Suppose 192*v = 167*v. Solve -70*l + 83*l = v for l. 0 Suppose u + 4*u - 20 = 0. Suppose 4*l = n - 23 - 137, n - 160 = -2*l. Let p be (-28)/(-10) - 128/n. Solve p*m - 3*m = -u for m. 4 Let k = -5669 - -5674. Solve 2 = -6*i + k*i for i. -2 Let o(d) = 3*d - 104. Let w be o(8). Suppose 0 = -0*q - 3*q + 240. Let m = q + w. Solve -2*y + y - 4 = m for y. -4 Let x(d) be the first derivative of -d**2/2 - 8*d - 29. Let h be x(-10). Let y be (40/(-12))/(h/(-3)). Solve -w + 20 = -y*w for w. -5 Let k = -25410 - -26448. Solve -14*q = k - 1066 for q. 2 Let u be (-1)/1*(-24 - -2). Suppose u = 5*s - 8. Suppose -1 = -s*t + 11. Solve q - t*q = -4 for q. 4 Suppose 0 = -2*a - 5*r + 105, 40*a - 44*a + 5*r + 135 = 0. Solve -44 = 14*w + a for w. -6 Suppose 4*a + 4 = -0*a, -5*j = 2*a - 218. Let n = 59 - 18. Let r = j - n. Solve 1 + 5 = r*p for p. 2 Let f be 3*4/(-6) - (-8)/(32/52). Solve -f*q - 28 - 38 = 0 for q. -6 Let t be -2 - (-26 + (6 - 12)). Solve 0 = -t*w - w - 186 for w. -6 Suppose -18*r - 432 = 3042. Let n = r - -198. Solve -t + n*t = 0 for t. 0 Suppose 0 = -10*p + 670 + 190. Let c = 86 - p. Solve c = 5*o + 18 + 2 for o. -4 Let w = 10 + -1. Suppose -5*l + 4*f = w*f - 40, -28 = -3*l - 5*f. Suppose 0 = -15*g + l*g. Solve -2*n = -g*n for n. 0 Let k(q) be the first derivative of -1/4*q**4 + 4*q**3 - 21/2*q**2 + 28 + 15*q. Let a be k(10). Solve -8 - 7 = -a*n for n. 3 Let p(x) = x**3 - 11*x**2 + 21*x - 12. Suppose 3*m + 76 - 119 = 4*n, 0 = -m + 3*n + 21. Let z be p(m). Solve 17*s - 10 = z*s for s. 5 Suppose -5*a + 1 = -4*j + 6*j, 3*j = 3*a + 33. Let h be (32/12 + -4)*(-12)/j. Solve -4*o - h*o = 6 for o. -1 Let m be (-7 + 35)*2/7. Suppose -9 = -2*w - 2*i - 3*i, 5*w = 2*i + m. Let b = -2 + 4. Solve -w*v + 8 = b for v. 3 Let k(y) = y**2 - y - 5. Let c be k(6). Let h = -50778 - -50817. Solve -h*t - c = -34*t for t. -5 Suppose -33*q + 41*q = 0. Suppose q = 4*z - 16, -z - 4 = 22*l - 24*l. Solve 8 = -l*h - 8 for h. -4 Suppose 7*b = 6*b + 26. Let u = -26 + b. Suppose -v + u*v = -0*v. Solve v*a + a - 5 = 0 for a. 5 Suppose -1067 = 3*t + 2*r, 0*t + t + 363 = 3*r. Let o = t - -366. Solve 0 = 4*h - o + 29 for h. -5 Let g = 129 - 129. Suppose -k + 5*n = 6*n - 2, -5*k + 2*n + 10 = g. Solve 5*d + k = 7*d for d. 1 Let r(v) = 8*v - 19. Let y be r(11). Let m = y + -61. Let t be ((-8)/5)/(34/(-85)). Solve t*f + m = 2*f for f. -4 Suppose 2*r + 15 + 42 = 3*t, 3*r = -4*t + 76. Suppose -f + 3*n + t = -0*f, 3*n = 6. Suppose 18*k - 19*k - 5 = -d, 3*d + 45 = 15*k. Solve k*m = -f - 0 for m. -5 Let z be -3 + (14/7 - 18/2). Let t be 6/(3 - 0) - z/5. Solve 7 = q + t for q. 3 Suppose 3*h + 116 = -40. Let t = h - -53. Let o be (16/(-6))/((-12)/18). Solve -3 - t = o*i for i. -1 Let a be -6*((-113)/30 - (-108)/180). Suppose a*p + 27*p = 11*p. Solve 7*r - 8*r - 4 = p for r. -4 Let m be 27/(-45) + (-86)/(-10) - 4. Suppose -4*p + 6 = -c, -m*c + 0*p + 12 = -4*p. Solve 12 = -3*a + c*a for a. 4 Let f be (-47)/(-9) + 6/(-27). Suppose 5*i = -5*n + 80, -n + f*i + 0 = 8. Let q = 7293 - 7289. Solve -q*g + n = 4 for g. 2 Let f = 3074 + -3004. Solve -66*o + f*o = 8 for o. 2 Let v = 209 + -219. Let r be (54/36)/(1/(-2)) - v. Solve -r*l = -2*l for l. 0 Let p = -1842 - -1847. Solve p*t = -2*t + 14*t for t. 0 Let t(j) = j**2 - 4*j - 5. Let k be t(4). Let o(s) = s**2 - 11*s + 15. Let n(d) = -d. Let p(i) = k*n(i) - o(i). Let v be p(15). Solve v = 4*u - 22 + 6 for u. 4 Let g(n) = 5*n + 3. Let l = -10 + 12. Let j be g(l). Suppose d - 11 = 3*p, -j = -d + p + 3*p. Solve -d*c - 4 = -c for c. -1 Suppose -5*j - 3*u = 1107, u - 4 = -3*u. Let z = j + 223. Let s be (-1)/(-2) - 10/(-4). Solve 5 + z = s*c for c. 2 Let l(h) = 6*h**3 - 20*h**2 + 8*h - 7. Let x be l(4). Solve -28*m - x = -5 for m. -3 Let q = 5 - 3. Suppose q*x = b - 7, -x - 2 = 2. Let f be 5/(b - 4)*-10. Solve f - 35 = -5*h for h. 5 Let t(c) = c**2 - 73*c - 1203. Let l be t(-14). Solve 23*v + 266 = -l*v for v. -7 Suppose 47*q = 40*q - 1981. Let t = -279 - q. Solve -8 = -s - t for s. 4 Let h = 8468 + -8387. Solve -h*o + 70*o = 77 for o. -7 Let z(v) = -v**3 + v**2 - 7*v + 17. Let p be z(5). Let w = -117 - p. Let y be (160/28)/((-2)/(-7)*w). Solve -4*q = q + y for q. -4 Suppose 4584*q - 4605*q + 105 = 0. Let h be ((-1)/2)/(2/(-24)). Let k = -263 + 270. Solve -k*a + h*a = -q for a. 5 Suppose 5*n + 196 = -w - 1, 4*w + 3*n + 703 = 0. Let h = w + 181. Solve 7*l = h - 23 for l. -2 Let a = 21 - 167. Let s = a + 148. Solve s*m = -3*m for m. 0 Let x = -727 - -741. Let s be 1 + (-21)/15 + 8/20. Solve s = 9*c + x - 32 for c. 2 Suppose -298*w = -224*w. Solve w = 149*a - 154*a - 30 for a. -6 Let f = 239 - 197. Suppose 13*p - 7*p - f = 0. Solve 4*g = 11*g + p for g. -1 Suppose 4*j - 20 = k - 6, -5*k + 40 = 2*j. Let c be (4 - 3)/((-2)/k). Let b = c - -19. Solve 4*v + 0*v = b for v. 4 Let i(w) = w**3 + 2*w**2 + 2*w + 1. Let d be i(-1). Suppose -4*m + 100 - 100 = d. Suppose m = s - 5*o - 7, -2*o + o - 7 = -3*s. Solve 5*n - s*n = -15 for n. -5 Let v = -788 - -506. Let m be v/329*(1 - 8). Solve 0 = 6*i - m - 24 for i. 5 Suppose 4*z = -2*q + 5*q + 11, -3*q = 3*z - 3. Let y = -173 + 175. Solve -z*x = -0 + y for x. -1 Suppose 0 = 2*t, -t = -4*k + 9*k. Let w = 2 + 0. Let p be (-1 + 1*6)/(60/72). Solve -w*o + 0 + p = k for o. 3 Suppose -4*j - 4*j - 192 = 0. Let i(u) = u**3 + 4*u**2 - 4*u - 14. Let z be i(-6). Let t be 16/j - z/3. Solve t = 3*q + q for q. 5 Let d = -117 - -123. Suppose l + 0*x + 4*x + d = 0, 4*l + 2*x - 18 = 0. Solve 0 = -2*r + 4*r + l for r. -3 Suppose 33*w + 158 = 422. Suppose -w = -7*d + 3*d, d = -5*u + 12. Solve 7 = u*l + 13 for l. -3 Let k be 16/20 - 21/(-5)*26. Let v = k - 107. Solve -4*l - 21 = v*l for l. -3 Suppose 3*r - f = 14, 6*r - 2*r - 2*f = 16. Let v = -32 + 32. Suppose 8*w - 120 + v = 0. Solve q - r*q = -w for q. 3 Let r be (-7*(-18)/84)/(9/42). Let u(f) = -3*f**3 + 23*f**2 - 9*f - 30. Let x be u(r). Solve b = 2*b - x for b. 5 Suppose 108 = 18*a - 9*a. Let l(f) = -5*f**2 - 21*f - 4. Let o be l(-4). Solve o = -5*r - a - 3 for r. -3 Let x(q) = -q**2 + 18*q + 2. Let n be x(18). Suppose -v = -3*c - 11, n*c = 17*v - 12*v - 16. Solve -8 = v*j + 2*j for j. -2 Let h be (1 - 0)*(-3)/(-1). Suppose b - 4*v = 18, -3*b + 5*v + 15 = -2*b. Suppose 0 = 11*m - 16*m + b. Solve 0 = h*o + m - 18 for o. 4 Let a = 2418 + -2400. Let c = 5 + 15. Solve 0 = 2*k - c + a for k. 1 Let o(a) = -3*a + 33. Let g be o(7). Suppose -g = -3*w, 0*u - 4*u = -w. Solve 5*b = 6*b - u for b. 1 Let x = -21715 - -21718. Let g be (-9)/(-1) + (-9)/3. Solve x*w - g*w + 9 = 0 for w. 3 Suppose 4*b - 86 = 86. Suppose 46*j + 3 = b*j. Let g(z) = 5*z**2 + 4*z + 2. Let a be g(j). Solve -r - a*r = 4 for r. -1 Suppose -3*u = -4*f + 27, -3*u - 2 + 11 = 2*f. Suppose -4*r + f + 14 = 0. Suppose -v + 3 = 4*m, 4*m - 15 + 0 = -r*v. Solve 2*d = -v*d for d. 0 Suppose 0 = -383*h + 387*h. Let y(p) = -p**2 - 9*p + 15. Let s be y(h). Solve 5*t - s = -0*t for t. 3 Let c(w) = 33*w - 7*w**2 - 21*w + 7*w - 5. Let t be c(2). Solve
{ "pile_set_name": "DM Mathematics" }
g order. 4, d, -5 Let g(d) = -d**2 + 4*d + 1. Let s(u) = -3*u**2 + 7*u + 2. Let n(z) = 5*g(z) - 3*s(z). Suppose 0*l + 7 = -7*l. Let m be n(l). Put -2, m, -3 in decreasing order. m, -2, -3 Let t = -131/10 + 13. Sort 1, 0.1, t, -0.4. -0.4, t, 0.1, 1 Let p = 64 - 59. Put -4, p, 0 in decreasing order. p, 0, -4 Suppose v + y = 9, -4*y = -0*y - 16. Put 3, v, -4 in ascending order. -4, 3, v Let q = 10 + -9. Sort 5, q, 4 in decreasing order. 5, 4, q Suppose 5*s = s + 4. Sort s, -4, -1 in decreasing order. s, -1, -4 Let n(w) = -w**2 - 4*w + 15. Let x be n(-6). Put 4, -4, x in decreasing order. 4, x, -4 Let i = 0.008 - 0.308. Put -1/4, -3/8, i, 3 in decreasing order. 3, -1/4, i, -3/8 Suppose -5*g + 20 = 5*k, -9*g + 10*g = -5*k. Let t(z) = 0 + 0*z**2 - 3*z - z**2 - 3. Let m be t(-3). Put 3, g, m in decreasing order. g, 3, m Let n be (-2)/5 - 13/5. Let a = n + 7. Let j = -22 - -23. Sort a, -4, j in descending order. a, j, -4 Let x be (-5)/(5/25*5). Sort 7, 0, x in ascending order. x, 0, 7 Let n = -69 - -73. Sort -4, 3, 0, n. -4, 0, 3, n Let n(s) = -s**2 + 3*s - 4. Let d be n(2). Put -1, 4/7, d in descending order. 4/7, -1, d Let l(i) be the first derivative of i**2/2 + 10*i - 2. Let o be l(-6). Suppose -5*g = -0*a - 2*a + 10, -g = -5*a + 2. Sort -1, o, g in ascending order. g, -1, o Let t(w) = w**3 - 5*w**2 + 3*w + 3. Let y be t(4). Suppose 0 = k, -2*c - k + 1 = 7. Sort 2, c, y. c, y, 2 Let p(m) = -2*m + 3. Let d be p(4). Sort 2, d, 12, -4 in ascending order. d, -4, 2, 12 Let w = -1 - -3. Let y be 2/(-4) + 9/2. Suppose -y*m - 7 = 13. Sort m, 0, w in ascending order. m, 0, w Suppose -13*h + 258 = -15. Put h, -1, -3, -2 in descending order. h, -1, -2, -3 Let y = -0.2 + -0.8. Let f = -4 + 6. Let s = 0.7 - 3.7. Put f, s, y in ascending order. s, y, f Suppose -y + 2 = 7. Let p(z) be the second derivative of -z**5/20 + 5*z**4/12 + 5*z**3/6 + 2*z**2 - z. Let t be p(6). Sort -1/3, t, y in decreasing order. -1/3, t, y Let x(a) = 3*a + 76. Let i be x(-24). Put 5, 1/7, i in increasing order. 1/7, i, 5 Suppose 10*f + 4 = 24. Let a(v) = 2*v + 3. Let z be a(-4). Sort f, -2, z in decreasing order. f, -2, z Let l be (-4 + (-1 - -3))*-1. Suppose 5*o - 28 = -y, 2*y - 26 = -2*o - l*o. Sort o, -11, 4 in descending order. o, 4, -11 Let h(n) = n**3 + 2*n**2 - 4*n - 2 - 2*n + 5*n. Let f be h(2). Suppose 4*p - 16 = 2*j, -3*j + 4 = 2*p - f. Sort j, -2, 1 in decreasing order. j, 1, -2 Let j = -9/56 + 265/952. Sort 10, j, 4, -5. -5, j, 4, 10 Let w = -0.129 + 0.129. Put 3/4, -3, w in descending order. 3/4, w, -3 Let q be (-47)/(-15) + 20/(-150). Suppose 2*u + 8 = -5*l, 2*u + 2*u + 2*l = 0. Put u, 2, q in decreasing order. q, 2, u Let g = 1/20 + 33/140. Put g, -4, 2/3 in increasing order. -4, g, 2/3 Let n = -0.08 + 0.98. Let j = -3 + 4.9. Let y = n - j. Sort -3/2, 0.1, y. -3/2, y, 0.1 Let g = -3.9 + 8.9. Put g, -1, -33 in ascending order. -33, -1, g Let v be ((-2)/(-10) + -1)*-5. Let o be 3*(-5)/15 - -4. Put o, v, 1 in descending order. v, o, 1 Let y = 17 + -16.3. Let t = 0.7 - y. Sort t, 1, 1/2. t, 1/2, 1 Suppose -m - 2 = -0*m. Put 1/8, -0.1, m in increasing order. m, -0.1, 1/8 Let r = -21 + 41. Suppose 5*i - r = 0, 2*p + 4*i - 8 = 4*p. Let j = 49/2 - 23. Sort j, 0.2, p in ascending order. 0.2, j, p Let x = 77 + -229/3. Let m(u) = u - 11. Let z be 1/(-1) - 55/(-5). Let r be m(z). Put x, -0.3, r in descending order. x, -0.3, r Let y = 15 + -11. Suppose 2*m + 4*k - 2 = 8, 4*k - 17 = 5*m. Suppose -3*s + 3*b - 16 = 8, -5*b + 28 = -s. Put s, y, m in ascending order. s, m, y Suppose 6*j + 43 = -41. Let n(d) = -d**3 - 13*d**2 + 14*d - 4. Let l be n(j). Sort 7, l, -1 in increasing order. l, -1, 7 Let d be (-2)/(-4) + 14/4. Suppose 2*b + 3*b - 40 = 0. Let m = b - d. Put m, 2, -4 in increasing order. -4, 2, m Suppose -2*q - 4*h = 12, 0*q + 2*q + 2*h + 4 = 0. Let r be 0 + 1 + -1 + -24. Let p be (-104)/r - q/(-3). Sort 2, 3, p in increasing order. 2, 3, p Suppose 2*q + 4*u = 1 + 1, 0 = q - 2*u + 11. Let j = -6 - -4. Put q, -1, j in ascending order. q, j, -1 Suppose -2*w + 3*q = 7*q + 6, 4*w + 2 = 2*q. Let z = -1 - -1.5. Let j = -0.8 + -1.2. Sort w, j, z. j, w, z Let k = -11 + 7. Let c = -0.332 + 0.032. Let z(b) = b**3 - 3*b**2 + 4*b - 3. Let j be z(2). Sort j, k, c in ascending order. k, c, j Let h(w) = w**3 + 2*w**2 - 4*w. Let z be h(-3). Suppose -o = z*p + 2*p, 2*p = -o. Suppose 11 = -2*r + 1. Put 3, r, o in descending order. 3, o, r Suppose 0*n - 2*n = 6. Let u be 33 + 0*(-3)/6. Let d be 18/(-22) - 6/u. Sort n, 5, d in ascending order. n, d, 5 Let u = -5 + 5. Let z = -2 - u. Let h = -1.7 - z. Sort 2, h, -0.1 in ascending order. -0.1, h, 2 Let h = -540/1939 + -2/277. Sort 5, h, 0.5 in decreasing order. 5, 0.5, h Let u = -6 - -14. Suppose 13*b - 9*b = u. Let m(f) = f**3 - f**2 + 2*f - 3. Let q be m(2). Sort 1, q, b in decreasing order. q, b, 1 Let h be 12/2 - (4 + -3). Let q be (-6)/(-15) + (-6)/h. Let w = 9 + -4. Put q, -4, w in increasing order. -4, q, w Let w = -0.151 + -0.049. Sort 7/3, 4, w in ascending order. w, 7/3, 4 Suppose 2*o = 3*o. Let w(y) = -y + 9. Let t be w(7). Sort t, 4, o in descending order. 4, t, o Let v(r) = 5*r**3 + 2*r**2 + r**3 + 2*r - 3*r. Let c be v(1). Let a be c + 2*(-2 + 1). Sort a, -5, -4. -5, -4, a Let f be 2/6 + (-34)/(-6). Let n be (-10)/(-4)*f/(-100). Let c = 13/180 - n. Put -2, 5, c in ascending order. -2, c, 5 Let k = 1/80 - -233/560. Sort -2, 0, k. -2, 0, k Let v(d) = d**2 + d + 5. Let p be v(0). Let j = -18 + 17. Put p, j, 3 in decreasing order. p, 3, j Let f(x) = 2*x + 20. Let z be f(-7). Put 3, z, 2 in descending order. z, 3, 2 Let o = -2 + 6. Suppose o = -2*v - 0. Put 4, v, -1 in descending order. 4, -1, v Let r(p) = p**2 + 5*p - 4. Let o be r(-6). Suppose -2*t = o*t. Let y(l) = l**2 - 8*l - 10. Let w be y(9). Sort -5, w, t in decreasing order. t, w, -5 Let p = 2 - 4. Let y(z) = -z**2 - 12*z - 31. Let v be y(-9). Put -3, p, v in ascending order. v, -3, p Let j = 0.08 + 0.22. Let m be 3 + -8 - (-69)/12. Put m, -10, j in decreasing order. m, j, -10 Suppose -3*w + w = 0. Put w, -1, -6 in ascending order. -6, -1, w Let h = -253925 - -2795582/11. Let t = 219 - h. Sort 0.4, 0.5, t in increasing order. t, 0.4, 0.5 Let y = -2 - -1. Let g = -57/55 + 7/11. Put g, y, -0.3 in ascending order. y, g, -0.3 Let d = -1.03 + 0.03. Sort d, 3/2, 5/4 in ascending order. d, 5/4, 3/2 Let z = 78/175 - 4/25. Put -11, -3, -2, z in increasing order. -11, -3, -2, z Let y be (1 + 1 - (12 + -8)) + -1. Sort y, -1, 13 in decreasing order. 13, -1, y Let w(y) = -y**2 - 5*y + 16. Let z be w(-7). Suppose z*t = -l + 5, 8 = t + 2*l + 1. Put 3, t, 0 in increasing order. 0, t, 3 Let v = 27 - 27.1. Put v, -2, 3/5 in decreasing order. 3/5, v, -2 Suppose -5*d + 2*r = -16, -4*d - 2*r - 4 = 2*r. Let b be (8 + -4)*(-1)/2. Sort d, 0, b in decreasing order. d, 0, b Let y = -5 + 2. Let t = -4 + y. Let m = t - -3. Put -2, 0.5, m in ascending order. m, -2, 0.5 Let s = 54 - 59. Sort -1/10, s, -0.2, 1/3 in descending order. 1/3, -1/10, -0.2, s Let r be (-4)/8*(-4)/1. Suppose r*w = 5 + 1. Sort -2, 1, w in descending order. w, 1, -2 Suppose 3*u + 3*w - 2*w = -11, 0 = u + 4*w. Suppose -6*y - 9 - 21 = 0. Put 2, y, u in ascending order. y, u, 2 Let k(n) = n**3 - 5*n**2 - 1. Let b be k(5). Suppose -3 = -3*h - 9. Sort h, b, 4 in decreasing order. 4, b, h Suppose 3*j = 5*j. Let q = 19 + -20. Put j, q, -4 in increasing order. -4, q, j Suppose -3*b + 10 = -p, 2*b - 14 = 2*p - b. Suppose 5*n + 3*z + 0*z = 5, n - z = 9. Let i = n - 9. Put p, i, 4 in increasing order. i, p, 4 Let y = -22 - -22. Sort y, 0.5, -0.2. -0.2, y, 0.5 Let a be (-1 - 7)*(-1)/(-2). Let g = -166 + 171. Put 2, a, g in decreasing order. g, 2, a Let n be 20/(-6) - (-8)/(-12). Let j be n/6*6/4. Let q be 0 - j/((-1)/(-3)). Put q, -3, -5 in ascending order. -5, -3, q Let f(a) = 17*a**2 - 1. Let i be f(-1). Let z be -1 - (-7)/((-28)/i). Sort 3, z, -4 in descending order. 3, -4, z Let i(k) = 2*k + 2. Let j be i(3). Let h be 2/(-14) + -25*39/(-455). Put -1, j, h in decreasing order. j, h, -1 Let q = -31/5 + 103/15. Put -1, 3, 0.11, q in descending order. 3, q, 0.11, -1 Let j be (-2 - 7/(-2))/6. Let q(d) = d**3 - 3*d**2 - 4. Let o be (-8)/(-4) + (1 - 0). Let b be q(o). Sort j, b, 0.4 in increasing order. b, j, 0.4 Let b = 2 + -4. Let c be b - -3 - 5/7
{ "pile_set_name": "DM Mathematics" }
of 31755710*g**3 + 4674*g**2 + 521*g wrt g? 190534260 Find the second derivative of -107*r**3*v*w + 5*r**3*w**2 + 6863*r**3*w - 24*r**3 + 2*r**2*v + 59573338*r*v*w**2 wrt w. 10*r**3 + 119146676*r*v Find the first derivative of 214*c**2*q**2 + 14*c**2 + 70449*c*q**2 - 34*c + 2707 wrt q. 428*c**2*q + 140898*c*q What is the derivative of -54091339*l*u + 2*u + 105303537 wrt l? -54091339*u What is the first derivative of 41*f**4 - 85095*f*s + 4*s + 32844941 wrt f? 164*f**3 - 85095*s Differentiate g*m**3 - 476*g - 17*m**3 - 33*m**2 + 41*m - 6385 wrt m. 3*g*m**2 - 51*m**2 - 66*m + 41 Find the second derivative of 2*g**2*o**2 - 11*g**2 - 112*g*o**2*z**2 + 321*g*o*z**2 - 30*g*o*z - 3903*o**3 + 3*o*z**2 + o wrt o. 4*g**2 - 224*g*z**2 - 23418*o Find the first derivative of 2887328*r**4 - 4*r + 48978407 wrt r. 11549312*r**3 - 4 What is the derivative of -41120203*h - 41720497? -41120203 Differentiate 5029*g**4 - g**3 + 24*g**2 - g + 8610924 wrt g. 20116*g**3 - 3*g**2 + 48*g - 1 What is the second derivative of -11305633*k**3 - k**2 - 162*k - 66977 wrt k? -67833798*k - 2 Differentiate -488856865*h*x - 369276*x - 308 with respect to h. -488856865*x Find the second derivative of 35988*w**4 - 15*w**3 - 5*w**2 - 18796906*w wrt w. 431856*w**2 - 90*w - 10 What is the third derivative of -146277022*t**3 - 1353253*t**2 - 6*t wrt t? -877662132 Find the second derivative of 9130612*r*s**2 + 4*r*s - 17289*r + s + 2 wrt s. 18261224*r Find the third derivative of -7124869*g**5 - 156*g**2 + 55728*g wrt g. -427492140*g**2 What is the third derivative of -1039*s**4 - 32303*s**3 + 52*s**2 - 1468850*s wrt s? -24936*s - 193818 Find the third derivative of -28182626*m**3 + 2335199*m**2 + 3*m. -169095756 Find the third derivative of 26*l**6 - 15894*l**5 + 13*l**3 - 20095*l**2 + 1418*l wrt l. 3120*l**3 - 953640*l**2 + 78 Find the second derivative of 8163337*r**2 + 926418*r + 2 wrt r. 16326674 Find the third derivative of 3*w**6 + 621079*w**5 - w**3 + 24281225*w**2 wrt w. 360*w**3 + 37264740*w**2 - 6 Find the third derivative of -625242*c*l**3 - 208169*c*l**2 - 104*l**4 + 15*l**2 wrt l. -3751452*c - 2496*l Find the first derivative of 73*l**4 - 48*l**3 + l**2 - 66*l + 93024425. 292*l**3 - 144*l**2 + 2*l - 66 Differentiate -4*h**2*l + 123455*h**2 + h*l - 1312865*l wrt h. -8*h*l + 246910*h + l What is the first derivative of -2*w*y**2 - 273925614*w + 1634*y**2 + 3478*y wrt y? -4*w*y + 3268*y + 3478 What is the second derivative of 17*o**5 + 5*o**4 + 2742*o**2 + 1297967*o + 25 wrt o? 340*o**3 + 60*o**2 + 5484 Find the second derivative of -1938412*b**5 + 2*b**4 - b**3 - 8753462*b wrt b. -38768240*b**3 + 24*b**2 - 6*b Find the third derivative of -175*r**6*z - 2454*r**3*z**2 + 2*r**2*z**2 - 34*r**2*z + 2*r*z**2 - 217*r*z + 10*z wrt r. -21000*r**3*z - 14724*z**2 Find the first derivative of -10839*x**2 + 1398*x - 66755621. -21678*x + 1398 What is the first derivative of 342399654*g**2 + 425371935? 684799308*g Find the second derivative of -3*z**3 - 9156133*z**2 + 25225627*z. -18*z - 18312266 What is the derivative of 464*v**3 - 3406*v + 10440881? 1392*v**2 - 3406 Find the third derivative of 8613*g**3*n**3 - 20*g**3*n**2 + g**3 + 62*g**2*n**3 + g**2*n**2 + 1395*n**2 wrt n. 51678*g**3 + 372*g**2 Find the second derivative of -86050*n**3 - 11*n**2 - 202807*n + 3. -516300*n - 22 Find the third derivative of -42661*i**4 + 1586*i**3 - 24620784*i**2 + 3. -1023864*i + 9516 What is the third derivative of -12*k**4 + 87114*k**3*v**3 - k**2*v**2 + 40610*k*v**2 - 3*v**3 - 4*v - 1 wrt k? -288*k + 522684*v**3 What is the second derivative of 94*a**2*g**2 - 34*a**2*g + 116977*a*g**2*z**2 + 959*g*z - 10*z**2 wrt g? 188*a**2 + 233954*a*z**2 Differentiate -10*n*s**2 + 4*n*s - 28864*n - 1340*s**2 - 42*s - 365 with respect to s. -20*n*s + 4*n - 2680*s - 42 What is the third derivative of 3*w**3*x**3 - 11*w**3*x**2 + 3651*w**3*x - 133*w**2*x - 3835*w*x**3 - 869*x**3 wrt x? 18*w**3 - 23010*w - 5214 Find the second derivative of -77724*x**4 - 129*x**3 - 22*x - 42414. -932688*x**2 - 774*x Find the third derivative of -52095041*r**6 + 2*r**4 + 134971542*r**2. -6251404920*r**3 + 48*r What is the second derivative of 1430*d**4 + 3324*d**2 + 263100090*d? 17160*d**2 + 6648 What is the second derivative of 206863*x**2*z - 11*x**2 - 573*x*z + 5171*z - 2 wrt x? 413726*z - 22 What is the second derivative of 244008169*u**2 - 519493351*u? 488016338 Find the second derivative of 154793879*b**4 + 64247834*b wrt b. 1857526548*b**2 Find the first derivative of 32752*s*z**2 + 2*s*z - 364*s + 56405533*z**2 wrt s. 32752*z**2 + 2*z - 364 What is the first derivative of 11059*s**2*t + s**2 - 6*s*t + 9*s + 12167281*t wrt s? 22118*s*t + 2*s - 6*t + 9 Find the third derivative of 8354*d**6*m - 5*d**4*m + 9*d**3 + 262*d**2*m + 52050*m wrt d. 1002480*d**3*m - 120*d*m + 54 What is the second derivative of -97233377*n**2*v**2 - 530946*n*v**2 - 25*n*v - 7*v wrt n? -194466754*v**2 Find the third derivative of -2*v**4 - 95294353*v**3 + 2*v**2 + 1956657*v. -48*v - 571766118 Find the second derivative of -155169326*h**4 - 38897134*h + 1. -1862031912*h**2 What is the second derivative of -290866472*v*y**3 - 2*v*y + 17041459*v + 4 wrt y? -1745198832*v*y Find the third derivative of 11745*c**4 - 7346*c**3 - c**2 - 613401*c + 1. 281880*c - 44076 What is the third derivative of 33815066*x**3 - 74*x**2 - 17*x + 19963 wrt x? 202890396 What is the first derivative of 4651345*v + 2935681 wrt v? 4651345 What is the third derivative of 132*p**6 + 10*p**4 + 182*p**3 - 124950*p**2 - 7? 15840*p**3 + 240*p + 1092 What is the first derivative of 3*d*m**2 + 39217*d + 2025193*m**4 + 137 wrt m? 6*d*m + 8100772*m**3 Find the first derivative of 136014862*p + 158521996. 136014862 What is the second derivative of -2641*p**3*s**3 - 251*p**3*s**2 + 146*p**3*s - s**3 + 35975*s wrt s? -15846*p**3*s - 502*p**3 - 6*s Differentiate 58*g*j*o + 6*g*j*y + 21*g*j - 144531*g*y + 12*g + 15*j*o*y + 2*j*o + 59*j + o wrt y. 6*g*j - 144531*g + 15*j*o Find the second derivative of -1181818*v**3 + 23*v**2 - 76857195*v. -7090908*v + 46 Find the third derivative of 64*x**6 + 1058326*x**4 - 4*x**3 - 375*x**2 - 1253842. 7680*x**3 + 25399824*x - 24 Find the second derivative of -306*k**3*u**2 - 3*k**3*u - 2019*k**3 + 75*k**2*u**2 + 3*k**2*u - 2*k**2 + k*u**2 - 121*k*u + 2*k - 4*u**2 wrt u. -612*k**3 + 150*k**2 + 2*k - 8 Differentiate 524766*a**2 + 10*a - 1435793486 with respect to a. 1049532*a + 10 What is the second derivative of 21*i**4 + 4875330*i**2 - 97944599*i? 252*i**2 + 9750660 What is the derivative of -6017155*z**2 - 3711632? -12034310*z Find the first derivative of 262*l**4 - 469*l**3 - 49*l**2 + 36537203 wrt l. 1048*l**3 - 1407*l**2 - 98*l What is the third derivative of 196237060*h**3 + 7342206*h**2 wrt h? 1177422360 What is the first derivative of -80231867*l**2 + 43971948? -160463734*l Find the first derivative of -2*g*l*w + 4*g*l - 4758*g*w - 106*g - 180*l*w + 859*w - 18 wrt g. -2*l*w + 4*l - 4758*w - 106 Find the first derivative of -9*b**3*j + 247*b**3 + 12539*b*j - 35047*b + 160*j + 2 wrt j. -9*b**3 + 12539*b + 160 What is the second derivative of -21416258*o**2 - 29508083*o wrt o? -42832516 What is the second derivative of 93*i**3 - 196970*i**2 + 17592*i + 390? 558*i - 393940 Find the third derivative of -3*d**4*w + 2*d**4 + 28127*d**3 - 2*d**2*w + d**2 + 559009*d + 3*w + 4 wrt d. -72*d*w + 48*d + 168762 What is the second derivative of 144226998*j**2 - 41137615*j - 3 wrt j? 288453996 What is the first derivative of -86*c**3*d + 13088*c**3*o**3 - 56*c**2*o**3 - 4*c**2*o**2 + 45329*c*d*o**3 wrt d? -86*c**3 + 45329*c*o**3 Differentiate 208*h**3*n + 3*h**3 + 14*h**2*n + h*n + 2270628*h - 15*n wrt n. 208*h**3 + 14*h**2 + h - 15 Differentiate -8854203*f*u + 53525334*f with respect to u. -8854203*f Find the second derivative of 6248*b**2*l**3 + b**2*l**2 + b**2*l - 27*b**2 + 20*b*l**3 - 2*b*l - 5*l**3 + 24*l**2 - 30 wrt b. 12496*l**3 + 2*l**2 + 2*l - 54 Differentiate 128023119*m**2 + 145970620. 256046238*m Find the second derivative of -733*d**3*s + 118232*d**2*s - 230289258*d*s wrt d. -4398*d*s + 236464*s What is the third derivative of -2513003*i**5 + i**3 - 823*i**2 + 2629*i wrt i? -150780180*i**2 + 6 What is the third derivative of -3*h**6 + h**5 + 78065*h*
{ "pile_set_name": "DM Mathematics" }
0*s. -s*(s - 250)*(s + 2)*(s + 244) Factor -3*l**3 - 3373533*l**2 - 67469760*l - 337347300. -3*(l + 10)**2*(l + 1124491) Determine d so that -2*d**3/7 + 418*d**2/7 + 6154*d/7 + 20070/7 = 0. -9, -5, 223 Factor 2*n**2/5 + 258394*n/5 + 103356. 2*(n + 2)*(n + 129195)/5 Solve -13*t**5/3 + 43*t**4/3 + 2237*t**3/3 - 7283*t**2/3 - 6760*t/3 + 2704/3 = 0 for t. -13, -1, 4/13, 4, 13 Solve -4*d**5/9 - 4544*d**4/9 - 49496*d**3/9 + 4544*d**2/9 + 5500*d = 0. -1125, -11, -1, 0, 1 Factor p**4/5 + 682*p**3 + 489905*p**2 - 156007500*p + 10465312500. (p - 125)**2*(p + 1830)**2/5 Let b**3 - 147497*b**2 + 5418800328*b + 1479347118576 = 0. What is b? -271, 73884 Factor -f**2/2 + 342928*f - 685854. -(f - 685854)*(f - 2)/2 What is q in -q**2/3 - 28470*q - 256203 = 0? -85401, -9 Solve -n**2/5 + 2304078*n/5 - 4608152/5 = 0. 2, 2304076 Let -2*y**3 - 16252*y**2 - 33145570*y - 526176800 = 0. Calculate y. -4055, -16 Factor -4*i**2/3 + 167984*i/3 + 40717820. -4*(i - 42711)*(i + 715)/3 Factor -2*r**2/7 - 109990*r/7 + 48000648/7. -2*(r - 433)*(r + 55428)/7 Factor 5*k**3 + 3650*k**2 + 310395*k + 3851550. 5*(k + 15)*(k + 81)*(k + 634) Factor 2*x**2 + 72*x - 783104. 2*(x - 608)*(x + 644) Find f such that 2*f**4 - 464*f**3 - 18422*f**2 + 248564*f - 419760 = 0. -44, 2, 9, 265 Solve 2*z**5/9 - 3718*z**4/9 - 41080*z**3/9 - 112264*z**2/9 + 119360*z/9 + 598400/9 = 0 for z. -5, -4, 2, 1870 Suppose 6*a**3 + 70*a**2 - 518*a - 5382 = 0. What is a? -13, -23/3, 9 Find a such that 2*a**2/15 - 12448*a/15 + 1581952/5 = 0. 408, 5816 Determine m, given that m**2/4 + 8913*m/2 + 106812 = 0. -17802, -24 What is m in -m**2/4 - 7110*m + 1909969/4 = 0? -28507, 67 Solve 58863869*d**4 + 4410552884358*d**3 + 68029083996*d**2 + 349763912*d + 599424 = 0. -74928, -2/389 Factor 5*t**4 + 45500*t**3 - 9680320*t**2. 5*t**2*(t - 208)*(t + 9308) Find z such that 5*z**3 + 13365*z**2 - 1043525*z + 3010155 = 0. -2749, 3, 73 Suppose -50*a**4/11 + 940*a**3/11 + 71032*a**2/11 + 770640*a/11 + 1265472/11 = 0. What is a? -78/5, -2, 52 Factor -19*j**2/5 - 11541983*j/5 + 2429892/5. -(j + 607473)*(19*j - 4)/5 Determine r so that -r**2/5 + 8847964*r/5 - 70783648/5 = 0. 8, 8847956 What is b in -2*b**5 - 69252*b**4 + 2911536*b**3 - 19967680*b**2 + 37718784*b = 0? -34668, 0, 4, 34 Solve h**2/2 - 279*h - 4004 = 0. -14, 572 Find b such that -3*b**3/4 + 2075*b**2/2 - 291757*b/4 - 98175/2 = 0. -2/3, 75, 1309 Factor -2*l**2/3 - 103168*l/3 - 16763246/3. -2*(l + 163)*(l + 51421)/3 Let -4*w**2/9 + 138824*w/3 - 5413460/9 = 0. What is w? 13, 104105 Let 162*p**5 - 1570518*p**4 - 6982336*p**3 - 9155536*p**2 - 3103648*p - 310368 = 0. Calculate p. -2, -2/9, 9699 Solve 2*h**4/3 - 52*h**3/3 + 146*h**2 - 1268*h/3 + 880/3 = 0 for h. 1, 4, 10, 11 Solve 3*l**3 + 3052578*l**2 - 9157755*l + 6105174 = 0. -1017529, 1, 2 Solve 2*j**4 - 463*j**3 + 19590*j**2 - 9449*j - 9680 = 0 for j. -1/2, 1, 55, 176 Determine x so that 140*x**5 - 825*x**4 + 525*x**3 + 1925*x**2 + 435*x = 0. -1, -1/4, 0, 3, 29/7 Determine x, given that x**5 + 7796*x**4 - 7800*x**3 - 23390*x**2 + 7799*x + 15594 = 0. -7797, -1, 1, 2 What is f in 162*f**5/7 - 4101282*f**4/7 + 25917665264*f**3/7 + 72210220488*f**2 + 220814185152*f/7 + 24392690048/7 = 0? -19, -2/9, 12668 Determine x, given that -5*x**3 - 3600*x**2 + 695895*x - 20971250 = 0. -883, 38, 125 Factor -2*g**2 - 81490*g - 1791812. -2*(g + 22)*(g + 40723) Factor -3*a**2 - 248277*a + 248280. -3*(a - 1)*(a + 82760) Factor -4*i**4 + 748*i**3 - 35324*i**2 + 34580*i. -4*i*(i - 95)*(i - 91)*(i - 1) Suppose -2*y**2/3 + 71905268*y/3 - 646295945768978/3 = 0. Calculate y. 17976317 Factor -y**3 + 23362*y**2 + 1029956*y - 2153352. -(y - 23406)*(y - 2)*(y + 46) Factor -3*k**3 + 315420*k**2 - 12613200*k + 126120000. -3*(k - 105100)*(k - 20)**2 Determine g, given that 3*g**5 + 195*g**4 - 218997*g**3 - 27292191*g**2 + 169860174*g - 228802824 = 0. -181, 2, 4, 291 Determine j, given that -8*j**4/3 - 848392*j**3/3 + 30572930*j**2 - 91082492*j/3 + 22717598/3 = 0. -106157, 1/2, 107 Factor 4*s**2/5 + 43948*s/5 + 3485520. 4*(s + 412)*(s + 10575)/5 Find u such that -u**4 + 408*u**3 + 9485*u**2 - 10200*u - 236500 = 0. -22, -5, 5, 430 Factor -4*t**3 - 800*t**2 + 91244*t - 2042040. -4*(t - 51)*(t - 35)*(t + 286) Let 10070*z**5 + 51486*z**4 + 76178*z**3 + 38202*z**2 + 3464*z + 24 = 0. What is z? -3, -1, -2/19, -2/265 What is l in -l**5/2 + 739*l**4/2 + 91983*l**3 + 4065327*l**2 - 193177629*l/2 + 941114943/2 = 0? -111, 9, 943 Factor -3*k**4/7 - 2460756*k**3. -3*k**3*(k + 5741764)/7 Let -2*l**5/9 + 584*l**4/9 - 9922*l**3/9 + 15436*l**2/9 + 41528*l/3 + 10960 = 0. What is l? -2, -1, 6, 15, 274 Factor i**2 + 250918*i - 2509280. (i - 10)*(i + 250928) Determine i so that 2*i**3/7 - 55516*i**2/7 + 1829382*i/7 + 12975300/7 = 0. -6, 39, 27725 Find m, given that 5*m**2 + 1999845*m = 0. -399969, 0 Factor -2*d**4 - 6960*d**3 - 8672100*d**2 - 4452100000*d - 739772066250. -2*(d + 315)*(d + 1055)**3 Find f, given that -4*f**3 - 16077816*f**2 - 16156106924580*f - 193870967896368 = 0. -2009721, -12 Factor 3*a**3/7 - 244197*a**2/7 + 25859601*a/7 - 685056111/7. 3*(a - 81293)*(a - 53)**2/7 Determine i so that 5*i**4 - 796300*i**3 + 31712646500*i**2 - 634014060000*i + 3169672200000 = 0. 10, 79620 Find t, given that -t**4/5 + 118*t**3 - 83483*t**2/5 + 246334*t/5 - 32688 = 0. 1, 2, 227, 360 Factor -r**2/2 + 97512115*r - 9508612571773225/2. -(r - 97512115)**2/2 Solve o**4/4 - 39312*o**3 + 3092203007*o**2/2 - 52533372528*o + 1785748469761/4 = 0. 17, 78607 Let -4*s**5/7 - 120*s**4/7 - 932*s**3/7 - 1104*s**2/7 + 2160*s/7 = 0. Calculate s. -18, -10, -3, 0, 1 Suppose v**2 + 267150*v + 1335725 = 0. Calculate v. -267145, -5 Find s such that -90*s**5 + 6026*s**4 - 33662*s**3 + 59422*s**2 - 30232*s - 1464 = 0. -2/45, 1, 2, 3, 61 Let -5*i**3/3 - 1820*i**2 + 75067265*i/3 = 0. Calculate i. -4459, 0, 3367 Factor -5*c**2/4 - 33765*c/2 - 1075360. -5*(c + 64)*(c + 13442)/4 Suppose 2*r**2/11 + 918128*r/11 + 1836248/11 = 0. What is r? -459062, -2 Suppose -5*j**5 + 261165*j**4 + 15*j**3 - 783505*j**2 + 522330*j = 0. What is j? -2, 0, 1, 52233 Suppose 5*t**5 + 38745*t**4 + 35022940*t**3 + 11153577600*t**2 + 1192402728000*t - 2429700570000 = 0. Calculate t. -6761, -330, 2 Factor -j**3 + 929026*j**2 - 8361143*j - 9290170. -(j - 929017)*(j - 10)*(j + 1) What is h in 4*h**2 + 613016*h - 39249408 = 0? -153318, 64 Find f such that 3*f**4/2 - 9117*f**3 + 23734611*f**2/2 + 23761968*f + 11885544 = 0. -1, 1892, 4188 Suppose 4707*n**4 - 32946*n**3 + 28221*n**2 + 18*n = 0. What is n? -1/1569, 0, 1, 6 Let t**2/2 + 13029153*t/2 + 39087441 = 0. What is t? -13029147, -6 Find y such that -4*y**5 - 5860*y**4 + 35304*y**3 - 88*y**2 - 129508*y - 88260 = 0. -1471, -1, 3, 5 Factor -6*m**3 + 587944*m**2 - 18812672*m/3 + 16721920. -2*(m - 97980)*(3*m - 16)**2/3 Find g such that -2708*g**2 + 311400*g + 2300 = 0. -5/677, 115 Determine l, given that -2*l**4/9 - 12700*l**3/9 + 7731032*l**2/9 + 46779580*l/9 + 13011950/3 = 0. -6909, -5, -1, 565 Determine g, given that -4*g**2/7 - 732*g/7 + 19724536/7 = 0. -2314, 2131 Determine i, given that 9*i**5 + 5601*i**4 - 107580*i**3 + 77004*i**2 + 4979232*i - 3322944 = 0. -641, -6, 2/3, 12 Factor -3*c**2/7 + 18328494*c/7 - 27994474359003/7. -3*(c - 3054749)**2/7 Factor -3*v**3 - 255468*v**2 - 5511736815*v - 3101015409414. -3*(v + 578)*(v + 42289)**2 Suppose -3*p**4/2 + 1431*p**3 - 263379*p**2/2 + 3068874*p - 2938614 = 0. What is p? 1, 37, 62, 854 Factor 4*l**3/5 - 187136*l**2/5 + 3511088*l. 4*l*(l - 46690)*(l - 94)/5 What is o in 10*o**4 + 182*o**3 - 7962*o**2 + 55858*o - 39688 = 0? -41, 4/5, 11 Find d such that -3*d**3/11 - 24737*d**2/11 + 61300631*d/11 - 1857345 = 0. -10241, 1/3, 1995 Suppose 5*v**4 + 895*v**3 - 20065*v**2 - 31575*v + 250740 = 0. Calculate v. -199, -4, 3, 21 Factor -5*q**2 - 194016100*q - 1882112352960500. -5*(q + 19401610)**2 Let -2*q**2/3 - 21066476*q/3 - 21066470 = 0. Calculate q. -10533235, -3 Solve w**2/3 - 60266420*w/3 + 908010344904100/3 = 0 for w. 30133210 Solve 44*k**2/9 + 161618*k/9 + 705160/3 = 0. -3660, -289/22 Factor 3*u**4 - 361554*u**3 + 3615240*u**2. 3*u**2*(u - 120508)*(u - 10) Determine r so that r**2/2 + 78629*r = 0. -157258, 0 Suppose 2522*a**3 - 7676*a**2 - 22258*a - 12060 = 0. What is a? -1, -1206/1261, 5 Find u, given that 5*u**4 - 2771180*u**3 - 13
{ "pile_set_name": "DM Mathematics" }
-6745 or -6737? -6737 Which is bigger: -1 or 546667/4? 546667/4 Which is greater: -5308 or -5229? -5229 Which is bigger: 55/15973 or -1? 55/15973 Which is smaller: -5.9 or 11771? -5.9 Which is smaller: 1 or -222/9619? -222/9619 Is -0.2 less than 264/317? True Which is smaller: 13257 or 10? 10 Which is bigger: -0.027 or 149.41? 149.41 Is 224943 bigger than -2/3? True Which is greater: -4126 or -4113? -4113 Which is smaller: 80 or -2908? -2908 Which is smaller: 4075 or 65195/16? 65195/16 Which is smaller: -60679 or 2.8? -60679 Is -68062 at least -68051? False Is -6119 less than or equal to -55076/9? False Which is bigger: 6624/139 or 48? 48 Which is smaller: -44 or -28332? -28332 Which is bigger: -26588/7 or -3798? -3798 Which is smaller: 9936/5 or 1988? 9936/5 Is -22 <= 12/5? True Which is bigger: -488 or -5.1? -5.1 Is 45 > 3/191? True Is 0 at most as big as 279325? True Is -3/1685393 < -0.1? False Which is smaller: -3385/142 or -25? -25 Which is smaller: 4 or -0.183? -0.183 Is 857/458 greater than or equal to 7? False Which is greater: -68/2281 or -1? -68/2281 Which is smaller: 0.0615 or 0.154? 0.0615 Which is smaller: 0 or 29/87954? 0 Which is bigger: 1 or -58/1317? 1 Which is smaller: 20675 or 20673? 20673 Do 5053/11 and 0.2 have the same value? False Which is smaller: -1008/2353 or -1? -1 Is -2/2301477 >= -1? True Is 430 at most as big as -1426? False Are -1.2 and 4378.2 equal? False Which is greater: 4 or 0.030901? 4 Which is greater: 125 or 420? 420 Is -11258 at most as big as -382773/34? False Are -3157 and -3170 equal? False Which is greater: 107 or 5932/55? 5932/55 Which is smaller: 885/134 or 7? 885/134 Which is greater: 28377 or 28378? 28378 Which is smaller: 414284 or 414283? 414283 Which is greater: 2 or -1319/7? 2 Are 45247/14 and 3231 equal? False Which is bigger: -14 or 40241? 40241 Is 17.055 != 2? True Is 2/91975 >= -1? True Which is greater: 11829 or 11807? 11829 Which is smaller: 0 or -10/39463? -10/39463 Is -83366 < 1? True Which is smaller: -24530.3 or -0.05? -24530.3 Does 2373.1 = -2/3? False Do 0 and 22/122731 have the same value? False Which is bigger: 102150 or -3? 102150 Do -25591/2 and -12797 have the same value? False Which is smaller: 6128 or 319? 319 Is 10.58 equal to 4? False Which is smaller: 60356 or 1/2? 1/2 Are -1781104 and -1781106 non-equal? True Which is bigger: -6826 or -279836/41? -279836/41 Which is smaller: 14/535 or -116/7? -116/7 Is -160 bigger than -113? False Are 27672 and 27671 equal? False Which is bigger: -28840 or -0.85? -0.85 Is -467893 > -467896? True Is -24162 equal to 3? False Which is smaller: -23/2124 or 1? -23/2124 Which is greater: -518 or -1/6? -1/6 Which is smaller: -3070 or -0.1? -3070 Is 855854 greater than 855854? False Are 32/23419 and -1 equal? False Which is smaller: 296497 or 296492? 296492 Is 441 > 703? False Is 4366 greater than or equal to -53? True Which is bigger: 264074/3 or 88025? 88025 Is -1795 at least -159646/89? False Is 219/635 greater than -1? True Which is bigger: 1048 or -28? 1048 Is -6056 at least as big as -6055? False Which is smaller: 271854 or -0.1? -0.1 Which is smaller: 0 or 338/16131? 0 Is 4219 less than or equal to 71724/17? True Is 1 < -240/1637? False Is -9667 smaller than -9678? False Are 44595 and -38 equal? False Is -3/269185 >= -1? True Which is smaller: -48643 or -97285/2? -48643 Which is smaller: 8305/78 or 107? 8305/78 Which is smaller: 120 or 254/13? 254/13 Is 4750 < 4805? True Is 11216 greater than -17? True Which is bigger: -1 or 22/15643? 22/15643 Is 43832 bigger than 43832? False Is -13 at most -49.2? False Which is greater: -788218/3 or -262739? -262739 Is -1042 less than -68737/66? True Is -121284 at least as big as -1? False Does 198315 = 198315? True Is -0.4 not equal to 573388? True Which is bigger: 1 or -20/1567? 1 Is -44792 >= -44834? True Is -61227 at least as big as -61226? False Is -71501 at least -71502? True Which is smaller: -2/9 or -13954? -13954 Is 4066 less than 4092? True Does 74845 = 74849? False Which is smaller: -310363/4 or -77590? -310363/4 Which is greater: -11985 or -11987? -11985 Which is greater: -1868551 or -1868552? -1868551 Which is greater: -5/347992 or -1? -5/347992 Which is smaller: -16317 or -16319? -16319 Which is greater: -1 or 4/192943? 4/192943 Are -1 and -3/1818662 non-equal? True Is -8371 > -108822/13? False Is -845618 equal to -845614? False Which is bigger: 333 or 354? 354 Which is smaller: 1 or 2620/2547? 1 Is 2/327 at most as big as -14334? False Which is smaller: -4290705/4 or -1072677? -1072677 Is -5535 less than -5532? True Which is bigger: -0.7945 or 10? 10 Which is smaller: 0.034 or 26356? 0.034 Which is greater: 257 or 355/3? 257 Which is smaller: -1/22 or -7246? -7246 Is -37 < -24940/649? False Is 17/80 <= 0.7? True Which is smaller: 173850/7 or 24835? 24835 Which is greater: 3042/323 or 9? 3042/323 Does 0.351 = -44? False Which is smaller: 278272 or -2? -2 Are -20/61 and -33 equal? False Which is greater: -2 or -2146? -2 Is 10 at most 3195/337? False Which is smaller: 2127 or 2773? 2127 Which is greater: 0.3097 or -0.136? 0.3097 Which is greater: -492 or -13318/27? -492 Which is greater: 5975 or 5890? 5975 Which is smaller: -223/27372 or 1? -223/27372 Is 1 smaller than -1034/211? False Which is smaller: 4/9 or 9187? 4/9 Which is smaller: -192 or 594? -192 Is 4562 <= 6? False Which is smaller: 48312 or 48307? 48307 Is -16471 greater than or equal to -16470? False Which is smaller: 243/224 or -7? -7 Which is bigger: -499 or 37/5? 37/5 Which is greater: -180332 or -180335? -180332 Is 1999 < 1988? False Is -1002 > -1237? True Are -462 and 0.0249 unequal? True Which is bigger: 6169 or -0.05? 6169 Which is bigger: -2848 or -2860? -2848 Are -0.0488 and -2.8 equal? False Is -101/9 < 2? True Which is smaller: -12625 or -12627? -12627 Which is smaller: -306145 or -306144? -306145 Which is smaller: 1 or 108/69559? 108/69559 Does 27/13181 = 1? False Is -29076 at least -29073? False Which is smaller: -135 or 1073? -135 Are 1/1675 and -1 unequal? True Is 1 smaller than -2/933435? False Is -1802 less than or equal to -1687? True Which is greater: 0 or 68/13279? 68/13279 Which is bigger: 25715 or -1/4? 25715 Which is smaller: 0 or 12/460357? 0 Which is smaller: 83537 or 83535? 83535 Which is bigger: -19864 or -19862? -19862 Which is smaller: 7 or 251/32? 7 Which is greater: 22.505 or 0.216? 22.505 Which is smaller: -104080 or -104078? -104080 Is -1 < 27/1142? True Is 2/368685 less than -1? False Which is greater: -317.24 or -2/11? -2/11 Is 2214 greater than 2287? False Is 771 equal to 1051? False Which is smaller: 2.8 or -2848? -2848 Do -1209 and -32669/27 have the same value? False Which is bigger: -2956 or -118? -118 Which is greater: -1 or 1323759? 1323759 Is -211/1568 greater than or equal to 1? False Is 23863 <= 23813? False Is 6104 greater than 213622/35? True Which is smaller: -2 or -239630? -239630 Which is smaller: -39.1 or 90? -39.1 Which is bigger: -146 or -17548? -146 Which is bigger: -1 or 1/86495? 1/86495 Which is greater: 30708 or -48? 30708 Which is greater: -2/3 or -452.24? -2/3 Is -51682 > -51737? True Are -3/143 and -7 non-equal? True Which is smaller: -17189 or -17208? -17208 Is -10615 smaller than -23? True Which is greater: 0.47 or 0.13? 0.47 Which is bigger: 2332786/3 or 777595? 2332786/3 Which is smaller: -5.9 or -222? -222 Which is smaller: 1841 or 1184? 1184 Is 35/37189 != 1? True Which is greater: -146 or -134? -134 Which is bigger: -1819518 or -1819520? -1819518 Is 1831 at least as big as 1806? True Which is smaller: 2/3 or 80.3? 2/3 Which is bigger: 1 or -11/6795? 1 Which is bigger: -1593/223 or -6? -6 Is 514 >= -3511? True Is 1/4995 <= 11? True Is 64218 equal to 1? False Which is greater: -392 or -413? -392 Which is smaller: 1544 or 125? 125 Which is smaller: -14178 or 2? -14178 Is 35304 equal to 35304? True Which is greater: 2 or 0.07838? 2 Is -3 >= -999962? True Which is smaller: 11 or 771/73? 771/73 Is 29539 bigger than 29697? False Which is bigger: -130741 or -130739? -130739 Which is smaller: 0.119 or -1/1311? -1/1311 Is -0.2 bigger than 1700/33? False Is -138125 > -138128? True Which is greater: 1/6 or 295857/2? 295857/2 Which is bigger: -637017 or -637015? -637015 I
{ "pile_set_name": "DM Mathematics" }
- 7*z**2 + 16. Determine c(0). -11 Let b = 17 + -15. Let i = b - -2. Let n(r) = -3*r + 4 - i - 2 + r. Give n(-4). 6 Let g(l) = 13*l**2 + 10*l + 9. Let d(t) = -11*t**2 - 10*t - 9. Let i(w) = 6*d(w) + 5*g(w). What is i(-6)? 15 Let v(w) = -3*w - 1. Let b be -2 - ((1 - 5) + -4). Determine v(b). -19 Let l = 92 + -98. Let q(v) = -v**3 + 6*v**2 + 4*v + 2. Let k(p) = -3*p**3 + 12*p**2 + 9*p + 4. Let c(u) = -2*k(u) + 5*q(u). Determine c(l). -10 Let b(f) = f**2 + 13*f + 11. Let l be 40/(8/(-4)) - -11. Determine b(l). -25 Let p(n) = -2*n**2 + n**2 + 0*n**2 + 3*n + 7 + 4. What is p(6)? -7 Let o be ((-8)/(-10))/((-10)/(-25)). Let d be (-3 - -5)*(o + 2)/(-2). Let s(k) = -k**3 - 3*k**2 + 4*k. Determine s(d). 0 Let v(u) = 49*u**3 + 8*u**2 + 17*u + 8. Let n(z) = 16*z**3 + 3*z**2 + 6*z + 3. Let d(o) = 11*n(o) - 4*v(o). Calculate d(1). -20 Let q(l) = l**2 + 1 + 100*l + 7*l**3 - 102*l - 3*l**3. What is q(1)? 4 Let i(b) = 166*b + 328. Let r be i(-2). Let j(k) = 13*k + 47. Calculate j(r). -5 Let l(z) be the first derivative of -3*z**2/2 - 9*z + 131. Determine l(-8). 15 Let a(j) be the first derivative of j**4/4 - 10*j**3 + 29*j**2/2 + 4*j + 655. Give a(29). 4 Let a(y) = y**2 - 4*y - 3. Let h(t) = t + 8. Let s be h(-7). Suppose 6*b - 3*b = 3*p + 15, -b - s = 5*p. What is a(b)? -3 Let h(m) = -m**3 + 5*m**2 + 5*m - 3. Let p = 4 + 6. Suppose -5*i + 40 = p. What is h(i)? -9 Let l(g) = 2*g**3 + 18*g**2 - 21*g - 6. Let z be l(-10). Let r(o) = o**2 - 5*o - 3. Calculate r(z). -7 Suppose n = 4*n. Suppose a + n*a = 3. Let h(l) = -5 - 7 - 2*l + 12 + l**2 - 4. Give h(a). -1 Let c(m) be the second derivative of m**3/3 + m**2/2 - m. Let j(a) = -a**2 + 133*a - 761. Let w be j(6). Determine c(w). 3 Let m(j) = j + 9. Let h be m(-7). Let t = 16 + -19. Let g = t + h. Let v(a) = -5*a**3 - 2*a**2 + 1. What is v(g)? 4 Let y(d) = d**2 - 9*d + 4. Let s = 107 + -72. Suppose -9*b = -2*b - s. Determine y(b). -16 Let d(p) = -11*p + 7 - 6 + 6*p + 3. Determine d(-4). 24 Let d(o) be the second derivative of o**5/20 - 7*o**4/12 + 7*o**3/6 + 4*o**2 - 17*o - 1. What is d(6)? 14 Let x(v) = 5*v - 3 + 0*v**2 - v**2 + 1. Let m be -13 - (2*3/(-2) + -1). Let b be 12/m*(-4 + (-3 - -4)). What is x(b)? 2 Suppose -4*y + 4*r - 2 = 2, -y - 4*r = -4. Suppose 3*c + 2*c = y. Let q(o) = o**2 - 6. Give q(c). -6 Let r(n) = -4*n - 14 - 3*n**3 + 19 + 2*n**2 + 4*n - n - 4*n. Determine r(2). -21 Let c(i) = i - 1. Let v be c(-4). Let s(k) be the second derivative of -k**5/20 - k**4/3 + 5*k**3/6 - 2*k**2 + 369*k. Calculate s(v). -4 Let h(i) = -i**3 + 12*i**2 - 12*i + 10. Suppose -1102*m = -1093*m - 99. What is h(m)? -1 Let y(d) = -11642*d - 11642*d + 9 + 23283*d. Suppose 2*l - c - 3*c + 16 = 0, -4*l + 4 = c. Give y(l). 9 Suppose -6*u + 5*u = 2*s + 18, -3 = s - u. Let x(h) = h**2 + 2*h - 5. Determine x(s). 30 Let r(s) be the second derivative of s**5/20 - s**4/3 - 7*s**3/6 + 2*s**2 - 79*s. Give r(5). -6 Suppose -2*d - 8 = 4. Let p(t) = -16*t + 37*t - 10*t - 5 - 12*t. Calculate p(d). 1 Let t = -29 + 66. Let p(b) = 3*b**2 - 2*b**2 - b**3 - 2 - 2*b**2 + 38*b - t*b. Give p(2). -12 Let n(d) = 9 + 2 - 10 + 2*d + 0 + 11. Determine n(-9). -6 Let o(z) = -z**2 + 9*z - 2. Suppose 20*v - 159 = -39. What is o(v)? 16 Suppose 2*b + 2*x = 12 - 2, 2*x = 3*b + 10. Suppose -4*s + 2*s = b. Let z(h) = h**2 + h + 6. Calculate z(s). 6 Let a = 537/2 - 268. Let g(y) be the first derivative of -y - 1/3*y**3 + a*y**2 + 11/4*y**4 - 4. Determine g(1). 10 Let s(v) = v**2 + v + 13. Let p(t) be the second derivative of 0 - 5/6*t**3 + 2*t**2 - 1/20*t**5 + 5/12*t**4 - t. Let k be p(4). Give s(k). 13 Let a(g) = -g**2 - 22*g + 13*g - 4 - 3 + 3. Let x(o) = -10*o**3 + 2*o**2 - o. Let b be x(1). Give a(b). -4 Let o(a) = a**3 + 2*a**2 - 7*a - 4. Let k(u) = -u**3 - u**2 + 7*u + 4. Let i(f) = 2*k(f) + 3*o(f). Calculate i(-6). -34 Suppose -8*o = -9*o + 3. Let w(l) = l + 2*l - 5 + l**o - 2*l - 2*l + 6*l**2. Calculate w(-6). 1 Let l = -8 - -10. Suppose x - 1 = -l*m + 3*m, 0 = -3*x. Let d(w) = 2*w**3 - 4*w - 1 - 5*w**3 + 3*w - w**2. Determine d(m). 2 Let o(s) be the first derivative of 7*s**4/4 - s**3/3 + s**2/2 - 17. Suppose 4 = -3*k + 7*k. What is o(k)? 7 Suppose -j - 2*a = j + 14, -3*j - a = 19. Let r(v) = -v**2 + 2*v + 1. Let f(k) = -k**2 + 3*k + 1. Let n(o) = j*r(o) + 5*f(o). What is n(-3)? -1 Suppose 2*j + 0*j = 24. Suppose 0 = 2*n + 5*v + j, 0*v + v = -n. Let r(b) = 2*b - 3. What is r(n)? 5 Let x(u) = 4962*u - 4961*u + 3 - 6. Determine x(8). 5 Let n(g) be the second derivative of 1/6*g**3 + 5/12*g**4 - 1/2*g**2 - 9*g + 0. Determine n(1). 5 Suppose s = -3*s. Let n(q) = q**3 + 19*q + s - 8*q**2 - 2 - 13*q. What is n(7)? -9 Let b(k) = 11*k - 23. Let w be b(3). Let v(p) = p + 3. Give v(w). 13 Let b(m) = -2*m**2 - 6*m + 1. Let a(h) = -h**3 - h**2 - 2*h. Let g(w) = -2*a(w) + b(w). Give g(2). 13 Let o be (-2 - 21/(-3)) + (-3 - -6). Let b(p) be the third derivative of -p**4/24 + 17*p**3/6 + 2*p**2. Calculate b(o). 9 Let l(j) = j - 2. Suppose 2*g + 41 = -5*c, 2*g = 9*c - 6*c + 15. Determine l(c). -9 Let f = 4 + -2. Let m be 0/f + -1 + -2. Let d(w) = 31*w - 16. Let p(b) = 14*b - 7. Let c(n) = 4*d(n) - 9*p(n). Determine c(m). 5 Let k(w) = -48*w + 23*w - 4 + 19*w. Give k(-4). 20 Let c(m) = -m**3 + 5*m**2 - 4*m. Let x = 5 + 13. Let a = x - 9. Suppose 0 = -9*i + 6*i + a. Calculate c(i). 6 Let y be 1/(-4) - (-6)/24 - -5. Let h(l) be the first derivative of -l**4/24 - l**2 - 3. Let v(s) be the second derivative of h(s). Calculate v(y). -5 Let w(y) = -99 + 6*y - 128 - 117 + 312. Determine w(8). 16 Suppose -5*a - 20 = -4*d - 45, 0 = -4*a - 2*d + 20. Let b(p) be the second derivative of 1/20*p**a - 8*p + 0*p**4 + 0 + 3/2*p**2 - 1/3*p**3. Give b(2). 7 Let s(x) be the second derivative of -x**7/840 - x**6/60 - x**4/4 + 11*x**3/6 - 12*x. Let o(c) be the second derivative of s(c). Give o(-6). -6 Let z(q) = -2*q**2 + 6*q - 1. Let r(y) = -y**2 + 5*y + 5. Let b be r(6). Let c be 104/24 - b/(-3). Calculate z(c). -9 Let g(y) be the third derivative of -y**6/120 - y**5/30 - y**4/24 - 76*y**2. Calculate g(-2). 2 Let x(l) be the second derivative of l**4/12 + l**3/6 - 9*l. Let r be 1/(-4) + (-135)/(-108). Give x(r). 2 Let n(o) = -o**2 - 3. Let y(m) = -21*m + 9*m + 3*m + 18 + 0*m. Let q be y(2). Calculate n(q). -3 Let c(l) = l**3 + 9*l**2 + 7*l - 11. Let r be 8/4 + 48/1. Let s = r + -58. Give c(s). -3 Suppose 2*o - 20 = -p, -5*o + 3*p + 56 = 4*p. Let n be (1/3 + -1)*(-171)/(-6). Let r = o + n. Let v(q) = -q**3 - 8*q**2 - 7*q + 2. Calculate v(r). 2 Let f(j) = -5*j**2. Let l(n) = n**3 - 6*n**2 + 14*n + 11. Let q(v) = 4*f(v) - l(v). Determine q(-13). 2 Suppose 0 = 2*n + n + 5*y - 5, 5*n - 30 = -4*y. Let h(v) = v**3 + 0 + 6 - n*v**2 - 2*v**3 + 5 + 2*v. Calculate h(-10). -9 Let v(o) = -2*o**2 + 13*o - 4*o**2 + 23*o - 41*o + 6*o + 4. Give v(2). -18 Let j(z) be the third derivative of -z**4/6 - 17*z**3/6 - 15*z**2 + 3. What is j(-5)? 3 Suppose 5*m = -4*b + 38, 5*b = -4*m + 2*m + 39. Let h(f) = -f**3 + 6*f**2 + 7*f - 5. Give h(b). -5 Let q(v) be the first derivative of 3*v**2 - 1/4*v**4 - 4/3*v**3 + 32 + v. Let o = -17 + 12. Determine q(o). -4 Let m be 4*48/(-40)*(-5)/2. Let b(j) = j**3 - 12*j**2 - j + 5. Calculate b(m). -7 Let i(g) = g**2 + g - 1. Let s(o) be the second derivative of -5*o**4/12 - 2*o**3/3 + 3*o**2 - 11*o. Let j(z) = -4*i(z) - s(z). Determine j(-3). 7 Let r(p) = -4*p + 1. Let o be r(0). Suppose o - 55 = 9*l. Let n(h) = 2*h**2 + 9*h + 18. Let a(s) = -s**2 - 4*s - 9. Let x(z) = 7*a(z) + 4*n(z). Give x(l). -3 Let l(i) = -2*i - 27. Let p be l(-13). Let f(w) be the third derivative of -w**6/15 + w**5/60 + w**4/24 + 11*w**2. Give f(p). 8 Let i(d) = 17*d**2 - 2*d + 12. Let y(u) = -31*u**2 + 3*u - 22. Let p(n) = 11*i(n) + 6*y(n). What is p(-5)? 45 Let l = -1109 + 1112. Let i(g) = -6*g + 6. Let w(h) = -3*h + 3. Let a(s) = 3*i(s) - 7*w(s). Give a(l). 6 Suppose -17*n + n + 32 = 0. Let q(u) = u**2 + 3*u - 5. Determine q(n). 5 Let n(s) = 2*s**2 - 103*s - 6 + 90*s + s**3 + 10*s**2. Give n(-13). -6 Let h(g) be the second derivative of g**5/20 - 11*g**4/12 + 11*g**3/6 - 6*g**2 + 533*g. Suppose -25 = -4*f - 4*x + x, f = x + 15. What is h(f)? -2 Let n(h) = -4*h + 11 + 0*h + 3*h + 0. What is n(11)? 0 Let u(p) be the second derivative of p**4/12 - 5*p**3/6 + 3*p**2 - p + 45. Give u(5). 6 Let f(q) =
{ "pile_set_name": "DM Mathematics" }
d derivative of 2*a**3/3 - a - 2. Let o(u) = -515*u - 1. Calculate o(c(b)). -2060*b - 1 Let s(j) = 7738*j. Let p(w) = 10*w**2 - 201*w. Determine s(p(h)). 77380*h**2 - 1555338*h Let y(n) = 2*n. Suppose 3*z - o - o = 313, -3*z = o - 325. Let l = z + -89. Let h(q) = 7*q + 8*q + l*q + 2*q. Determine h(y(t)). 70*t Let h(v) be the first derivative of -11*v**2/2 - 2182. Let w(g) = -104*g. Give w(h(b)). 1144*b Let x(f) = f**3 + 25*f**2 + 44*f - 39. Let i be x(-23). Let j(v) = -i + 4 + v**2 + 3. Let z(k) = 37*k. What is z(j(m))? 37*m**2 Let j(d) = d**2 + 23*d - 9112. Let u(q) = -2*q**2. Calculate j(u(n)). 4*n**4 - 46*n**2 - 9112 Let v(n) = -4*n**2 - 5*n**2 + 5*n**2. Let a(x) = 3*x + 18. Let s(u) = 6*u + 42. Let q(k) = 14*a(k) - 6*s(k). Determine v(q(i)). -144*i**2 Let f(p) = -3*p - 2. Let t(q) = 2. Let b(o) = f(o) - 4*t(o). Let c(u) = 6*u. Give b(c(m)). -18*m - 10 Let n(f) = f - 7798. Let u(k) = 9*k**2 - 22. What is u(n(l))? 9*l**2 - 140364*l + 547279214 Let q(u) = u**2. Let k(c) = 280543*c + 12. Calculate k(q(s)). 280543*s**2 + 12 Let m(r) = -10*r - 35. Let a(i) = 153588*i. Determine a(m(x)). -1535880*x - 5375580 Let q(c) be the third derivative of c**5/60 + c**2. Let a(d) be the second derivative of 8*d**3/3 - d**2/2 + 5835*d. Give a(q(r)). 16*r**2 - 1 Let l(r) = 31*r - 4. Let m(p) = -61 + 25 + 29 + 63*p. Let z(x) = -5*l(x) + 3*m(x). Let j(k) = 2*k**2. Determine z(j(d)). 68*d**2 - 1 Let a(v) = 4*v**2. Let h(f) = 1995594*f. Calculate h(a(s)). 7982376*s**2 Let l(o) = 2*o. Let a(m) = -3*m**2 + 3034*m + 7477. Calculate l(a(z)). -6*z**2 + 6068*z + 14954 Let r(y) = 2*y. Let t(b) = 8343628*b. Determine t(r(z)). 16687256*z Let k(v) = -45*v**2. Let f(h) = -14*h + 50*h + 28*h - 11*h - 11*h. Determine f(k(x)). -1890*x**2 Let g(u) = -3*u - 3. Let f(n) = -49*n - 42. Let k(w) = -9*f(w) + 126*g(w). Let o(s) = -3*s. Calculate k(o(q)). -189*q Let j(v) = -16*v. Let a = 74 + -43. Let c(o) = -a*o - 23*o + 58*o. Determine c(j(n)). -64*n Let q(s) = s + s**2 + 2*s**2 + s + 2*s. Let y(v) be the third derivative of v**4/8 - 2012*v**2. Calculate q(y(g)). 27*g**2 + 12*g Let o(n) = 16 - 7*n**2 - 16. Let j = 63 - 61. Let q(h) = 96*h + j*h**2 - 96*h - 10*h**2. Determine o(q(i)). -448*i**4 Let p(v) = 5*v + 2. Let h(x) = -x - 1. Let i(b) = -3*h(b) - p(b). Let z(g) = -5*g + 3. Let q(j) = -3*i(j) + z(j). Let m(k) = 2*k**2 + 42. What is q(m(l))? 2*l**2 + 42 Let q(c) = -3140*c. Let d(w) = -108*w. Let s(n) = -82*n. Let y(o) = -3*d(o) + 4*s(o). Calculate q(y(f)). 12560*f Let k(i) = -751*i - 16. Let j(n) = 5*n**2. Determine j(k(a)). 2820005*a**2 + 120160*a + 1280 Let a be ((-306)/(-510))/(9*4). Let n(p) be the third derivative of a*p**5 + 0*p + 23*p**2 + 0*p**3 + 0 + 0*p**4. Let g(h) = -18*h**2. What is g(n(b))? -18*b**4 Let t(r) = 2*r**2. Let p(b) = -5*b**2 + 26*b + 7. Let k be p(5). Suppose 6 = -3*m + 3, 2*m = -4*v + 34. Let z(d) = k*d - v*d - 4*d. Determine z(t(n)). -2*n**2 Let d(m) = 16376*m - 3. Let q(i) = -16395*i + 2. Let x(c) = 2*d(c) + 3*q(c). Let s(t) = 2*t**2. Give x(s(u)). -32866*u**2 Let k(t) = -468361*t. Let r(s) = -s. Determine r(k(n)). 468361*n Let z(v) = 2038195*v**2. Let l(f) = -171*f**2. Determine z(l(i)). 59598859995*i**4 Let t(x) = 2*x**2 - 15*x - 36. Let z be t(12). Let h = z + 591. Let a(l) = 11*l**2 + h - 663. Let d(g) = g**2. Give d(a(u)). 121*u**4 Let y(b) be the first derivative of 9*b**4/4 - 250*b + 111. Let t(c) be the first derivative of y(c). Let v(j) = -7*j. Give v(t(f)). -189*f**2 Let z(l) = -4390*l + 121. Let y(w) = 49*w**2. Give z(y(m)). -215110*m**2 + 121 Let p(b) = b. Let g(o) = 68*o - 238. Let n be g(8). Let i(x) = -161 + 4*x**2 - 2*x**2 + n. Give i(p(y)). 2*y**2 + 145 Let g(m) = -m**2 + 268*m - 7. Let b(h) = 6*h - 11. What is g(b(d))? -36*d**2 + 1740*d - 3076 Let t = 340 + -299. Let g(j) = t*j - 74*j + 32*j + 24*j. Let w(r) = -3*r. Determine g(w(x)). -69*x Let d(q) = -19*q**2. Let o(p) be the second derivative of p**4/8 + 51*p**2/2 + 10*p + 15. Let m(r) be the first derivative of o(r). Give m(d(t)). -57*t**2 Let v(w) = w - 1. Let o(t) = -35*t + 42. Let d(q) = -o(q) - 42*v(q). Let b(p) = -117*p + 380*p - 146*p - 116*p. What is b(d(a))? -7*a Let z(h) be the second derivative of 0*h**3 + 8/3*h**4 - 7 + 0*h**2 + h. Let q(i) = 4*i**2. Calculate z(q(v)). 512*v**4 Let q(j) = 73*j - 41*j - 35*j. Let p(z) = 375*z - 1. What is q(p(x))? -1125*x + 3 Let h(t) = -1173*t**2 - t + 4. Let y(g) be the first derivative of g**2 + 6662. What is y(h(d))? -2346*d**2 - 2*d + 8 Let l(x) = -5*x**2 - 6*x - 9. Let b(k) = 8*k**2 + 10*k + 15. Let r(q) = -3*b(q) - 5*l(q). Let z(u) = 1056*u**2. Determine r(z(o)). 1115136*o**4 Let z = 63 + -37. Let r(f) = -65*f + 36*f + z*f. Let n(w) = 60*w. Let x(u) = -5*u. Let j(s) = -3*n(s) - 35*x(s). What is j(r(k))? 15*k Let x(g) = -21*g**2. Let c(p) = 3941878*p. Give x(c(r)). -326306445504564*r**2 Let u(l) be the first derivative of -8*l**2 - 45541. Let t(a) = -16*a + 2 - 2. What is t(u(j))? 256*j Let j(s) = -113*s. Let p(z) = -3035465*z. Determine p(j(i)). 343007545*i Let g(k) = -4426098*k. Let q(w) = 134*w. Determine q(g(f)). -593097132*f Let o(l) = -439*l. Let n(k) = -251*k + 6. Determine n(o(j)). 110189*j + 6 Let r(d) = -31*d**2 - 1. Let m(n) = -3840558*n. Calculate r(m(w)). -457246458292284*w**2 - 1 Let k(n) = 1865*n. Let f(d) = 1125*d. Let l(p) = 2110*p. Let u(m) = 15*f(m) - 8*l(m). Give k(u(o)). -9325*o Let b(a) = -4101*a + 3. Let i(g) = 630*g**2. Determine b(i(s)). -2583630*s**2 + 3 Let p(i) be the first derivative of -i**3 - 34. Let x(r) = -13*r + 3*r + 1 - 1 + 43*r. Determine p(x(o)). -3267*o**2 Let w(q) = -52*q**2. Let p(l) = -276*l. Let t(a) = -15*a. Let g(u) = -4*p(u) + 72*t(u). Calculate w(g(r)). -29952*r**2 Let z(s) = 484550335*s. Let g(j) = 3*j. Calculate g(z(q)). 1453651005*q Let u(g) = 2*g. Let z(r) = 2435*r - 9178*r - 5790*r - 1023*r. Calculate u(z(i)). -27112*i Let i(q) = -35*q - 5 + 2 + 7 + 0. Let p(n) = 31*n - 3. Let b(h) = 3*i(h) + 4*p(h). Let d(t) = -5*t. Give d(b(a)). -95*a Let s(b) = 374343486*b**2. Let r(q) = 2*q. Give r(s(y)). 748686972*y**2 Let f(r) = -r**2. Suppose 14*q - 9*q + 60 = 0. Let x = q - -14. Let c(s) = 23*s**2 + 3*s**x - 7*s**2. Give f(c(i)). -361*i**4 Let t(s) = 6631 + 6622 - 13253 + 2*s - 6*s. Let c(g) = 12*g + 26. Determine c(t(h)). -48*h + 26 Let h(g) = 110*g + g**2 - 110*g. Let s(o) = 6*o**2 + 2*o - 2. Let l(p) = 2*p**2 + 2*p - 2. Let f(i) = 4*l(i) - 4*s(i). What is f(h(t))? -16*t**4 Let o(u) be the third derivative of -u**6/360 - u**4/6 - 5*u**3/6 + 5*u**2 - 10. Let m(l) be the second derivative of o(l). Let j(g) = 27*g. Determine m(j(d)). -54*d Let x(o) = -3*o**2. Let f(j) = 3*j**2 - 7. Let d(i) = i**2 - 4 + 4*i + 73*i**2 - 4*i - 72*i**2. Let l = -15 + 11. Let m(z) = l*f(z) + 7*d(z). Give m(x(a)). 18*a**4 Let v(o) = 660*o**2 + 8*o + 35. Let u(l) = 15*l**2. Give v(u(p)). 148500*p**4 + 120*p**2 + 35 Let b(z) be the second derivative of -z**4/6 + z. Let v(y) = -170*y - 23. Let r(t) = -597*t - 71. Let a(l) = 2*r(l) - 7*v(l). Give b(a(s)). -32*s**2 + 304*s - 722 Let v(c) = 3*c**2. Let p(w) = 42166*w + 36. What is p(v(m))? 126498*m**2 + 36 Let v(t) = 200*t. Let l(y) = 600717 + 14*y - 600717. Determine v(l(d)). 2800*d Let l(u) = -8*u + 7. Let f(t) = -4*t + 3. Let s(c) = 7*f(c) - 3*l(c). Let w(x) be the second derivative of -5*x**4/2 - 2*x + 3923. Give w(s(g)). -480*g**2 Let y(m) = 34*m + 2 - 2 - 98*m + 65*m. Let g(r) = 3*r - 4*r + 10*r. What is y(g(u))? 9*u Let m(f) = -675*f + 389*f + 620*f + 288*f. Let a(o) = -2*o**2. Determine m(a(p)). -1244*p**2 Let d(i) = -9*i**2. Let f(r) = -27186442*r**2. Calculate d(f(h)). -6651923657574276*h**4 Let q(s) = 8*s - 219. Let p(u) = 2*u - 10. Let b(d) = 3*p(d) - q(d). Let k(o) = o**2. Determine k(b(l)). 4*l**2 - 756*l + 35721 Let x(j) = -3769*j. Let q(r) = 4717 - 2*r**2 + 4713 - 9430. Give q(x(c)). -28410722*c**2 Let i be (-2 + 4 - -4)/(2/6). Let y(k) = 12*k + i*k - 34*k + 3*k. Let j(p) = 2*p - 3*p - p + 7*p. Calculate j(y(l)). -5*l Let m(u) = 10*u. Let r = 89 + -87. Let c(g) = -23*g**r + 41*g**2 - 17*g**2. Give m(c(j)). 10*j**2 Let l(y) = 2*y. Let u(k) = -37*k - 120. Let w(q) = -5*q - 20. Let v(f) = -2*u(f) + 13*w(f). What is l(v(d))? 18*d - 40 Let r(m) be the first derivative of 8*m**3 + 970. Let a(y) = -120*y**2. Determine r(a(t)). 345600*t**4 Let f(i) = -6271
{ "pile_set_name": "DM Mathematics" }
77*b**2. Give u(m(a)). -154*a**2 Let q(j) = -34*j**2 + 32*j**2 + 10*j - 1 + 1. Let y(s) = -s. Calculate y(q(x)). 2*x**2 - 10*x Let f(v) = v. Let o(p) = p**2 + 3*p. Let y be (-6)/(-8) - 378/24. Let l(q) = y*f(q) + 5*o(q). Let r(u) = -4*u. What is l(r(d))? 80*d**2 Let g(c) = 10*c. Let z(m) be the second derivative of -18*m**3 - 190*m. Determine g(z(o)). -1080*o Let y(j) = -29*j**2. Let r(t) be the second derivative of -13*t**4/12 + 45*t + 1. Give r(y(c)). -10933*c**4 Suppose 0 = -5*l - 0*l + 15. Let q(p) = p**2 - 3 + l. Let f(u) = 42*u - 9. Let v(h) = 27*h - 6. Let n(s) = 2*f(s) - 3*v(s). Give n(q(z)). 3*z**2 Let y(x) = -10*x**2. Let l(s) = -5*s**2. Let j(t) = 5*l(t) - 2*y(t). Let w(n) = 3*n - 2. Let b(c) = -1. Let i(q) = 2*b(q) - w(q). What is i(j(k))? 15*k**2 Let n(i) = 69 - 52 - 17 + 3*i**2. Let j(v) = 3*v - 2*v + 7*v. Give n(j(s)). 192*s**2 Let k(y) = -18*y**2. Let v(u) = -8 + 10 - 8*u - 1 - 1. Give v(k(g)). 144*g**2 Let x(z) = 2*z**2. Let s(g) = 3*g**2 - 15*g + 10. Let p be s(-12). Let k(l) = -622 + p + 12*l. Determine k(x(o)). 24*o**2 Let b(h) = -3*h. Let k(v) be the first derivative of 41*v**3/3 + 47. Calculate b(k(t)). -123*t**2 Let n(k) = 6*k**2. Let b(x) be the third derivative of -x**7/2520 - 9*x**4/8 + 25*x**2. Let c(i) be the second derivative of b(i). Calculate n(c(j)). 6*j**4 Let h(r) = -144*r**2. Let d(s) = -64*s. Calculate d(h(j)). 9216*j**2 Let c(q) be the first derivative of -2*q**2 + 2*q - 13. Let v(u) = 21*u - 11. Let b(p) = 33*c(p) + 6*v(p). Let l(x) = 4*x**2. What is b(l(m))? -24*m**2 Let y(r) be the third derivative of r**4/12 - r**2. Let i(w) be the first derivative of -14*w**2 - 13*w**2 + 19*w**2 + 11. Calculate y(i(x)). -32*x Let r(q) be the first derivative of q**2/2 - 274. Let y(c) = c**2 - c - 1. Let j(l) = -l**2 + 3*l + 3. Let m(w) = j(w) + 3*y(w). Calculate r(m(h)). 2*h**2 Let z(v) = -3. Let k(i) = i - 5. Let m(o) = -3*k(o) + 5*z(o). Let b(j) be the second derivative of 5*j**3/3 + 2*j. Determine m(b(r)). -30*r Let d(a) = 4*a**2. Let m(g) = -16*g**2 + g - 17. Determine m(d(s)). -256*s**4 + 4*s**2 - 17 Let y(r) = r**2. Let k(m) = 92825*m. What is y(k(j))? 8616480625*j**2 Let b(x) = -x - 2*x + 5*x - 7*x + 6*x. Let s(w) = 442*w. Calculate s(b(y)). 442*y Let k(t) = -20*t - 22*t + 21 + 44*t. Let g(l) = -2*l. Calculate g(k(f)). -4*f - 42 Let l(u) be the second derivative of 0 - 2*u - 3/2*u**3 + 0*u**2. Let s(r) be the first derivative of r**3 - 67. Give s(l(y)). 243*y**2 Let b(s) = 3*s + 10*s + 3*s. Let a(m) = m. Determine b(a(t)). 16*t Let b(q) = 5*q**2. Let d(n) be the third derivative of -n**4/24 - 3*n**3 - 112*n**2 + 2. Give d(b(g)). -5*g**2 - 18 Let a(v) = -2*v. Let k(c) be the second derivative of c**5/3 - 10*c**3/3 - 4*c. Let f(y) be the second derivative of k(y). What is f(a(d))? -80*d Let v(k) = -26*k**2 - 8*k - 8. Let h(r) = r**2 + r + 1. Let u(s) = 8*h(s) + v(s). Let t(l) = -8*l. What is u(t(w))? -1152*w**2 Let v(f) = -4*f + 1. Let z(x) = 14*x - 3. Let q(d) = -3*v(d) - z(d). Let j(w) = -29*w - 1. Determine q(j(y)). 58*y + 2 Let o(m) be the second derivative of -13*m**4/12 - 2*m + 32. Let d(w) = 24*w. Give o(d(i)). -7488*i**2 Let v(t) = -4*t**2 + 12207. Let a(s) = 59*s**2. Determine v(a(y)). -13924*y**4 + 12207 Let t(v) = 3*v. Suppose -2*i + 10 = 3*i. Let r(w) be the first derivative of -2 - i + w**2 + 2. What is r(t(g))? 6*g Let d(a) = 11*a**2. Let m(k) = -k**2 - 1307*k. Give m(d(o)). -121*o**4 - 14377*o**2 Let p(n) = 6*n**2. Let k(b) = 1992*b + 8. What is p(k(t))? 23808384*t**2 + 191232*t + 384 Let c(f) be the first derivative of f**3 + 2. Suppose 8*u - 16 = -0*u. Let r(y) = -158*y**u - 148*y**2 + 312*y**2. What is r(c(k))? 54*k**4 Let j(g) = -36049*g. Let h(m) = m. Give h(j(z)). -36049*z Let y(o) = -245361*o**2. Let u(v) = v. Give u(y(l)). -245361*l**2 Let l(g) = -3*g**2. Let x(b) = 7*b**2 + b. Let w(s) = 12*s. Let c(t) = -w(t) + 12*x(t). Calculate c(l(v)). 756*v**4 Let m(y) = -8640*y - 320. Let n(u) = -163*u - 6. Let a(z) = -3*m(z) + 160*n(z). Let i(r) = -2*r. Give a(i(k)). 320*k Let h be (-48)/(-14) + (-18)/42. Suppose h*s - 6 = 9. Let i(b) = 5*b**2 - 4 + s - 1. Let t(x) = x. What is i(t(a))? 5*a**2 Let l(a) = -14*a + 1. Let h(b) = -b + 1. Let j(q) = h(q) - l(q). Let g(p) = -2*p - 1. What is g(j(w))? -26*w - 1 Let g(z) = 7*z + 450. Let j(d) = -16*d - 975. Let u(y) = -13*g(y) - 6*j(y). Suppose 0 = -2*o + 2 + 2. Let b(r) = r**2 - 4*r**o + 4*r**2. Determine b(u(c)). 25*c**2 Let l(z) = z**2. Let p(i) be the second derivative of i**3/6 + 29*i**2/2 + 29*i. What is l(p(q))? q**2 + 58*q + 841 Let h(o) = 98*o - 1. Let v(c) = -98*c + 1. Let y(j) = 7*h(j) + 6*v(j). Let m(x) = 2*x. Calculate m(y(w)). 196*w - 2 Let k(c) = 2*c. Let i(v) = -3*v**2 - 986*v + 2. Give i(k(x)). -12*x**2 - 1972*x + 2 Let p(c) = 47*c**2 - 1. Let o(k) = 2497*k. What is p(o(w))? 293045423*w**2 - 1 Let c(s) = -9169*s**2. Let y(o) = 3*o**2. What is y(c(n))? 252211683*n**4 Let s(j) be the second derivative of 7*j**4/4 + 27*j**2/2 + 14*j. Let b(h) = 3*h**2 + 4. Let a(g) = 27*b(g) - 4*s(g). Let y(d) = 5*d. What is a(y(t))? -75*t**2 Let o(p) be the first derivative of -3 + 0*p + 7/3*p**3 + 0*p**2. Let q(b) be the second derivative of b**3/6 + 4*b. Calculate q(o(g)). 7*g**2 Let z(g) be the third derivative of -g**5/30 - 4*g**2 - 6. Let t(q) = -1461*q. Determine t(z(h)). 2922*h**2 Let l(v) = -v**2. Let o(s) = s. Let h(t) be the third derivative of -t**4/24 + t**2. Suppose -5*u - 16 = -1. Let a(b) = u*o(b) + h(b). Determine a(l(y)). 4*y**2 Let r = -29 - -43. Let l = r - 14. Let i(g) = g + 3*g + l*g - 3*g. Let n(c) = -5*c**2. Give n(i(k)). -5*k**2 Let f(l) = 4*l**2. Let t(k) = -9 + 7*k**2 + 9 + 122*k**2. What is t(f(p))? 2064*p**4 Let p(f) be the second derivative of 3*f**3/2 + 15*f. Let x(o) be the second derivative of o**4/12 + 17*o. Give x(p(c)). 81*c**2 Let a(q) = 3*q. Let g(t) = -3*t - t + t - 43 + 46. Give g(a(b)). -9*b + 3 Let d(c) be the first derivative of 1/3*c**3 + 0*c + 0*c**2 + 7. Let l(m) = 2*m. Give d(l(s)). 4*s**2 Let q(s) = -s**2. Let i(x) = 39*x**2 - 704*x. Determine i(q(a)). 39*a**4 + 704*a**2 Let h be (7/2)/((-1)/(-4)*2). Let j(q) be the first derivative of -10*q**3/3 + 1. Let x(f) = -3*f**2. Let d(m) = h*x(m) - 2*j(m). Let z(g) = -7*g. Give d(z(c)). -49*c**2 Let m(b) = 58540*b. Let y(o) = 5*o. Determine m(y(x)). 292700*x Let o(p) = -2*p**2. Let d(u) = 25*u + 29*u + 84*u - 16*u. What is d(o(n))? -244*n**2 Let f(v) = 707*v - 1. Let n(s) = 8*s - 6. Calculate n(f(h)). 5656*h - 14 Let x(l) = 14*l**2 + 4*l + 42. Let j(g) = 11*g**2 + 3*g + 43. Let b(w) = -4*j(w) + 3*x(w). Let h(p) = 6*p. Calculate h(b(s)). -12*s**2 - 276 Let m(y) = 163687*y. Let t(x) = x**2. Calculate m(t(w)). 163687*w**2 Let x(o) = -2*o**2. Let i(v) = -19*v**2 - 350*v**2 - 320*v**2 - 40*v**2. Give i(x(j)). -2916*j**4 Let k(j) = -j + 1. Let o(h) = -7*h + 5. Let t(d) = -5*k(d) + o(d). Let b(s) = -149*s + 3 + 160*s - 3. Determine b(t(r)). -22*r Let r(s) = -566*s. Let f(v) = 267*v. Give f(r(g)). -151122*g Let r(l) = -64*l**2. Let u(m) be the second derivative of m**3/3 + 137*m. Determine r(u(k)). -256*k**2 Let z(n) be the first derivative of -n**3/3 - n + 5. Let d(h) = 35*h**2 - 35. Let r(t) = -d(t) + 35*z(t). Let x(i) = -i**2. Calculate r(x(o)). -70*o**4 Let p(s) = -24*s**2 + 1. Let r(t) = 11*t**2 + 30. Let y(d) = -120*d**2 - 325. Let o(v) = -65*r(v) - 6*y(v). Determine p(o(n)). -600*n**4 + 1 Let j(n) = 10*n**2. Let y(l) be the third derivative of 0*l**3 + 0*l + 5*l**2 + 1/24*l**4 + 0. Calculate y(j(v)). 10*v**2 Let x(j) = j**2. Let f be (-3297)/(-6) - (-3)/6. Suppose 11*a - f = 6*a. Let u(t) = -t**2 - 110 + a. Calculate x(u(s)). s**4 Let p(q) = -11241*q. Let d(t) = t**2 + 4*t. Determine d(p(b)). 126360081*b**2 - 44964*b Let k(y) = y**2 + 15*y + 5. Let m be (-62)/4 - (-7)/14. Let r be k(m). Let j(f) = 3*f + 5 + 0 - r. Let o(x) = x. Determine o(j(p)). 3*p Let l be 8/2 - (-6)/(-3). Suppose -4 = l*u - 10. Let m(k) = u*k - 5 + 5 + 0*k. Let t(p) = -4*p. What is m(t(y))? -12*y Let m(r) = 986*r**2. Let o(w) = -3*w + 2. Give m(o(i)). 8874*i**2 - 11832*i + 3944 Let f(y) = -255*y. Let w(a) = 11*a - 63. Give w(f(c)). -2805*c - 63 Let m(h) = 7*h**2. Let z(s) be the third derivative of -s**4/4 - 113*s**2. Determine z(m(b)). -42*b**2 Let w(a) = -2*a**2. Let n = 2629 - 2624. Let c(h) be
{ "pile_set_name": "DM Mathematics" }
+ 0) to the form h*q**2 + l*q + n + u*q**3 and give n. 2 Rearrange -16*a - a**2 + 10 - 18 + 8 to the form h*a**2 + j*a + x and give h. -1 Rearrange 0*h**3 - 1 - 4*h**3 + 6*h**3 to the form f*h + q + y*h**3 + j*h**2 and give y. 2 Express (19 - 10 - 35 - 43)*(-4*q**4 + q**4 + 5*q**4) as g*q + m*q**4 + u*q**2 + s*q**3 + t and give m. -138 Express ((1 - 4 + 2)*(-3*y + 0*y - y) - 2*y + 4*y - 4*y)*(3 - 2 + 0 + y**2) in the form q*y**3 + f + t*y + u*y**2 and give t. 2 Rearrange (1 + 1 - 8)*(2 + 2 - 3)*(m**3 + 0*m**3 + 2*m**3) to the form w*m**2 + k*m + v + y*m**3 and give y. -18 Express -12*w**3 + 9*w**3 + w**2 - 3*w**4 + 2*w**3 + 8*w**4 as r*w**2 + o*w**3 + h*w + x + c*w**4 and give c. 5 Express 15*q**2 - 7*q**2 + 168*q**2 in the form k*q**2 + c + d*q and give k. 176 Express (2 - 5 + 2)*(-2 - 1 + 0)*(m**2 - 2*m**2 - 2*m**2) + 2*m**2 - 5 + 5 + m**2 - 4 + 4 + (2*m + m - m)*(3*m - 2*m + 0*m) as w*m + l*m**2 + y and give l. -4 Rearrange (r + 0*r + r)*(-1 - 2 + 2) - 15*r + 2*r - 4*r to the form w + j*r and give j. -19 Rearrange (2*v - 2*v - 2*v)*(-3 + 2 + 4) + (-1 - 2*v + 1)*(-3 + 1 + 1) + 4*v + v - 4*v to t + q*v and give q. -3 Rearrange (-r**3 + 6*r**3 + 10*r**3 + 3)*(3*r + r - 5*r) to the form j*r**3 + s*r + b*r**2 + m + u*r**4 and give u. -15 Rearrange (49*f**3 - 22*f**3 + 7 - 23*f**3)*(4*f - 4*f - 3*f) to the form k*f**2 + b + d*f**4 + w*f**3 + r*f and give r. -21 Express (-2*r + 0*r + r)*(87 - 182 + 108) in the form k*r + m and give k. -13 Rearrange (1 + 0 + 1)*(-3*x**4 - 49*x**4 + 12*x**4) to the form d*x**3 + a + k*x**2 + u*x**4 + w*x and give u. -80 Rearrange -8*i**2 - 13*i**2 + 0*i**2 to g*i + a*i**2 + q and give a. -21 Express 17*r + 2*r + 16*r - 12*r in the form s*r + v and give s. 23 Express -62*c**4 - 16 + 125*c**4 - 3*c + 6*c - 64*c**4 - 2*c**3 in the form w + b*c**4 + k*c**3 + x*c**2 + i*c and give k. -2 Rearrange (-5*j + 4*j + 0*j)*(-2*j**3 + 7*j**2 - 3*j**2 + j**3) to i*j + h*j**4 + t*j**3 + b*j**2 + r and give h. 1 Rearrange -6*r + 3*r + 4*r to l*r + n and give l. 1 Rearrange (0*x - x + 5*x + (2 + 1 + 0)*(2*x - 4*x + 3*x))*(6*x**3 - x**3 + x - 11*x**3) to j*x**4 + y*x**2 + i*x**3 + z + l*x and give j. -42 Express (49*m - 7 + 7)*(-2*m + 3*m - 2*m) as f*m + o + t*m**2 and give f. 0 Rearrange -52 + 52 + 17*t - 6*t to the form f*t + d and give f. 11 Rearrange (-6*y**2 + 10*y**2 + 5*y**2)*(-2*y - 22 + 22 + 3*y**2) to the form a*y**4 + z*y**3 + t*y**2 + l*y + i and give a. 27 Rearrange 16*y**2 + 3*y**3 - 4*y**3 + 9*y - 12*y - 15*y**2 to p*y**3 + k*y + q*y**2 + x and give k. -3 Rearrange (0 + 0 + 4*w)*(-2*w + w - 2*w)*(0*w + 5*w - 4*w) to d*w**3 + z*w + m*w**2 + h and give d. -12 Express 2*q**4 - 2 + 0*q**2 + q + 2 + 2 + 2*q**2 as v*q**4 + p*q + l + w*q**2 + s*q**3 and give v. 2 Rearrange (0*t - 2*t + 7*t)*((-4 + 2*t + 4)*(5 - 5 - 2*t) + 3 - 2*t**2 - 3) to the form z*t**3 + x + d*t + q*t**2 and give z. -30 Express 3*n + n**4 - 11*n**2 + 11*n**2 + (4*n - 5*n + 2*n)*(-2 + 2 + 2*n**3) as y*n + i*n**2 + g*n**3 + f*n**4 + v and give y. 3 Express (141 - 37*l - 141)*(1 + 0 + 6) as n*l + r and give n. -259 Rearrange 9985 - 9985 - 162*m to r + f*m and give f. -162 Rearrange -2*o**2 - o**2 + 4 - 4 + 5*o**3 to y*o**2 + f + a*o + w*o**3 and give f. 0 Rearrange (-1 - 3 + 6)*((-4*g**2 - g**2 + 6*g**2)*(3 - 3 + 1) + 72*g**2 - 99 + 99 + 2*g**2 - 2*g**2 + 2*g**2) to the form a*g**2 + r*g + p and give a. 150 Express (-13*q - 50*q - 30*q)*(-q**3 + 2 - 2) in the form i*q + s + r*q**3 + k*q**2 + w*q**4 and give w. 93 Express -24 - 12*p**2 + 18 + 12 - 2*p**2 in the form q*p**2 + n + o*p and give n. 6 Express -3 + 5*d**4 + 5*d**2 + 2*d**3 - 3*d**4 + 4 - 2*d**2 as x*d**3 + j*d + b + h*d**4 + l*d**2 and give x. 2 Express 2 + 3 + 37*s - 30*s as f*s + v and give f. 7 Express (-2*r + r**3 + 2*r)*(-1 + 3 - 5)*(-6*r + 2*r + 0*r)*(-3 + 4 - 3) in the form j*r + y + o*r**2 + b*r**4 + z*r**3 and give o. 0 Express -10*k**2 + 8 - 7 - 2 in the form i + m*k + a*k**2 and give i. -1 Rearrange 87*c**2 + 39*c**2 + 28*c**2 - 47*c**2 to the form t*c + r*c**2 + m and give r. 107 Express (2*i**2 + i**2 - i**2)*(-31 - 2*i + 8 - 2) in the form x*i + h*i**3 + s + v*i**2 and give s. 0 Express 1 + 4*u + 4*u**4 + u - 3*u**4 - 6*u**3 + 0*u**4 as p*u + j + d*u**2 + s*u**3 + n*u**4 and give p. 5 Rearrange -j - 3*j - 3*j + (-3 + 3 + 2)*(5*j + 4*j - 5*j) to h + f*j and give f. 1 Express 0*b - 3*b + 2*b**4 + 3*b**3 + 3*b**2 - 3*b**2 in the form m*b + x*b**4 + n*b**3 + v + w*b**2 and give v. 0 Rearrange 4*q + 7*q + 0 + 2*q**2 + 8 - 9*q to the form n + y*q + r*q**2 and give y. 2 Rearrange -5*n**4 + 10*n**4 + n**3 + 2*n - 3*n**3 + 5*n**3 to z*n + d*n**3 + m*n**2 + b*n**4 + s and give d. 3 Express (81 + 65 - 56 + (-1 + 1 - 1)*(-2 + 2 - 1) + 1 + 2 - 2 + 3 - 2 + 0)*(0*t**2 + 5*t**2 - 4*t**2) as v*t + b*t**2 + g and give v. 0 Express -17*r - 2904 + 2904 + (-5 + 1 + 2)*(2*r - 4*r + 0*r) + 1 - 1 - 2*r as m*r + j and give m. -15 Express -58*r + 78*r + 64*r in the form k + p*r and give p. 84 Rearrange 100*c**2 - 102*c**2 + c**4 - 5*c**3 - 3*c**4 - 1 to j*c**2 + n*c + w*c**3 + m + i*c**4 and give j. -2 Express -11*x**2 - 14 + 14 in the form p*x**2 + z + r*x and give p. -11 Express 3*u + 0*u + 6 + 2*u + 2 as b + a*u and give b. 8 Express 4*k - 3*k**4 + 18*k**4 - 43 - 3*k - 17*k**4 as x*k**2 + q*k**4 + m + c*k**3 + d*k and give m. -43 Rearrange -12*n + 5*n + 3*n - 21*n to u*n + b and give u. -25 Express (s + 0*s - 2*s + (s - 2*s + 2*s)*(-1 - 4 + 3) + 0*s - 2*s + 3*s)*(-1 - 1 - 2)*(4 - 2 - 5) as z*s + a and give z. -24 Rearrange 3*l**2 - 6*l**2 + 4*l**2 to the form c + m*l + j*l**2 and give j. 1 Express (8*w**2 - 5*w**2 - 11*w**2)*(-2 - 1 + 4)*(-1 - 3 + 3) in the form r*w + z + a*w**2 and give a. 8 Rearrange 2*b**4 - 3*b**4 + 210 + 6*b**3 + b**2 - b - 208 to x*b**3 + i*b**2 + a*b + j + s*b**4 and give a. -1 Express 0*p - 22 + 7 + 0*p**2 - 2*p**2 + p in the form m*p**2 + z*p + o and give m. -2 Rearrange (-8 + 8 - 3*z + (0 + 1 - 2)*(0*z + 4*z - 3*z))*((-4 + 3 + 2)*(5*z + z + 0*z) + 0 + 0 - 3*z) to i + n*z + o*z**2 and give o. -12 Express -6*v + 2*v**4 + 7*v + 0 - 3*v**3 + 0 as n*v**4 + i*v**3 + w*v**2 + b + p*v and give p. 1 Express 5 - 8 + 3 + 119*w in the form g + i*w and give i. 119 Rearrange 8*z + 3*z**4 - z - z**4 + 2*z**2 + z**3 - 4*z to the form o*z**4 + k*z**2 + l + y*z + w*z**3 and give y. 3 Rearrange (-1 + 1 + 3*g)*(-g + 5 - 5)*(-9*g**2 - 49*g**2 + 16*g**2) to the form c*g**3 + i*g**2 + f*g + n + o*g**4 and give o. 126 Rearrange 2*b**4 + 0 + 2 - 1 + 2*b - 3 to the form i*b**2 + w*b**4 + f*b + c + a*b**3 and give c. -2 Rearrange -3*b + 14 - 23 + 1 to l*b + r and give r. -8 Rearrange 1 + 3 + 17*g - 4 to b*g + x and give b. 17 Express (4*q + 2*q - 3*q)*(21*q**2 + 10*q**2 - 2*q**3 - 2*q - 33*q**2 + 1) in the form u*q**3 + j*q**4 + b*q + c + l*q**2 and give j. -6 Express -3*v - 12*v - 5*v - 2 - 3*v in the form g*v + o and give g. -23 Rearrange r**2 + 0*r**2 + 3*r**4 + 1 + 0*r**4 to u*r + x + t*r**4 + v*r**2 + n*r**3 and give x. 1 Express 0 - z + 0 + (-4 + 6 + 0)*(z + 2*z - 2*z) + 2*z + 4*z - 4*z + 0*z + 2*z + 6*z + 2 - 2 + z + 1 as s + v*z and give s. 1 Express -1 + 1 - 2*s + s + 3 - 3 + (-2*s + 4*s + 0*s)*(-3 + 4 - 2) + 0*s - s + 3*s - 4*s - 2 + 2 + 4*s + 13 - 13 as l*s + y and give l. -1 Rearrange 5*q + q - 4*q + (-4*q + 3*q - q)*(-1 + 1 + 2) - 4 + 4 - q + (2*q + 2 - 2)*(0 + 2 - 3) + 2*q - q - 12*q to a + f*q and give f. -16 Rearrange (1 + 2 - 1)*(-23*n**2 + 7*n - 7*n) to the form z*n + g + h*n**2 and give h. -46 Rearrange -2*z**2 + 6*z**3 - 3*z - 10*z**3 + 5*z**3 to h*z + s*z**2 + i*z**3 + p and give i. 1 Rearrange -4*a**3 - 7*a**2 + 7*a**2 + 2*a - 2*a - 2*a**3 + (3*a - 3*a - 3*a)*(a**2 + 0*a**2 - 2*a**2) to k*a + r*a**3 + x*a**2 + d and give r. -3 Express 3*l + 0*l + 2*l - l**4 - 1 - 3*l as z + i*l**3 + n*l + g*l**4 + p*l**2 and give z. -1 Rearrange -23*t**2 + 3*t - t + 28*t**2 - 3*t**3 to the form z*t**2 + u + i*t**3 + m*t and give m. 2 Rearrange -5*f**4 + 0*f**4 + 3*f**4 + (-2*f + 3 - 3)*(-4 - 2*f**3 + 4) + f**4 + 6*f**4 + 0*f**4 to t*f**4 + v*f**2 + n*f + x*f**3 + j and give t. 9 Express (-2*c**2 + 3 - 3 + (0*c - 2*c + c)*(c - 1 + 1) - c**2 - c + c)*(2*c - 3*c + 0*c) as z + r*c + w*c**2 + b*c**3 and give z. 0 Rearrange -4*v + 2*v - 3*v**2 + 0*v**3 + 0*v**3 + 3*v**4 to y*v**3 + a*v**4 + u + g*v + z*
{ "pile_set_name": "DM Mathematics" }
r + u*r**3 + w + p*r**2 and give u. -9 Express -100*g + 66*g + 81*g + (-g + 5*g - 3*g)*(-2 + 5 - 2) + 1 - 1 - 2*g in the form c*g + d and give d. 0 Express h - 9*h - h**2 + 12*h + 9*h in the form i*h**2 + w + t*h and give t. 13 Express (1 - 2 - 1)*((-1 + 2 - 2)*(-2*l - 4*l + 4*l) + l - l - l + (-l + 2*l + 0*l)*(-1 - 3 + 3) + 3*l - l - l) as o + h*l and give h. -2 Express ((4*z - 5*z + 2*z)*(-1 - 1 + 3) - 2*z - 4 + 3 + 3)*(-z - 3*z - 11*z) as b + s*z**2 + u*z and give s. 15 Rearrange 0 + 3*a**2 + 2 + 0 + 0 to k*a + g*a**2 + u and give g. 3 Rearrange 171 - 2*j**2 - j**2 - 172 + (-2*j**2 + 1 - 1)*(-1 - 2 + 5) + (-2*j**2 + 4*j**2 - j**2)*(-1 + 5 - 2) to u*j + x*j**2 + c and give c. -1 Rearrange (-s + 0*s + 0*s)*(0 + 6 - 3)*(-1 + 3 + 0 + (-2 + 3 + 1)*(0 + 5 - 3) + 0 + 3 - 2 - 2 + 1 + 0 + 0 + 2 + 0) to the form b*s + r and give b. -24 Rearrange (1 - 7 + 33)*(2 - 1 + 1 - 3 + 0 + 1 + (-4 + 6 - 4)*(0 + 1 - 2))*(-5*v**2 + v**2 + 3*v**2) to the form u*v**2 + b + s*v and give b. 0 Express -5 + 5 - 5*o as a + j*o and give j. -5 Express 4*j**3 + 0*j**4 + j**2 + j**2 + j**4 + 1 in the form n*j**4 + s*j + q*j**2 + t + k*j**3 and give t. 1 Express 9*r - 51*r - 23*r as v + z*r and give z. -65 Rearrange (1 - 1 - 2 + (4 - 5 - 1)*(3 - 4 + 2))*(v - 5*v + 2*v) to x*v + d and give x. 8 Express -2 - 2*j**2 + 11*j**2 - j - 4*j**2 + j**3 - j as o + t*j + i*j**2 + k*j**3 and give o. -2 Express (0 - 2 - 5)*(9*y - 8 + 8 - 5*y + 4*y - y + 5*y - 2*y - y + (2*y - 5*y + 2*y)*(-1 - 3 + 2)) as o + v*y and give v. -77 Rearrange 2*t**2 + 3*t**2 - 7*t**2 + (-15*t + 96*t - 34*t)*(5*t - t - 2*t) to u*t**2 + p + a*t and give u. 92 Express (2 - 2 - l)*(136*l**2 - 272*l**2 + 124*l**2) in the form t*l**3 + g*l + x*l**2 + s and give t. 12 Express 2*q + 4*q + 9*q in the form b + n*q and give b. 0 Express ((4 - 1 + 7)*(-2*w + 4*w + 0*w) + (-4 + 3 + 2)*(-3*w + 4 - 4))*(w**2 - 6*w**2 + 4*w**2) as f*w**2 + b*w + n + h*w**3 and give h. -17 Rearrange 0*t**4 + 0*t**4 - 4*t**4 + (-7 - 8*t**2 + 7)*(2*t - 2*t**2 - 2*t) to the form b + c*t**2 + x*t + w*t**4 + i*t**3 and give w. 12 Express 281*f + 15*f**3 - 281*f + (-3*f - 2*f + 3*f)*(-2*f**2 + 3 + f**2 - 2) in the form l*f**3 + p*f + j + z*f**2 and give l. 17 Express 2*u**2 - 3*u**2 - 12*u**2 as t + y*u**2 + p*u and give y. -13 Express 4 + o - 74*o**2 - 2*o**3 + 74*o**2 as t*o**2 + j*o + s*o**3 + i and give i. 4 Express 26*y - 26*y + 18*y**2 + (3*y**2 - 2*y**2 - 2*y**2)*(1 - 3 + 4) + 0 - y**2 + 0 in the form h + a*y**2 + i*y and give a. 15 Express -z + 1 + 5 - 8 + 0 in the form t + c*z and give t. -2 Express 0*f**3 - f**2 + 3*f + 7*f**3 + 2 + 3*f - 4*f as n + v*f**3 + u*f**2 + d*f and give n. 2 Rearrange 5*q - 17*q - 5*q to v*q + o and give v. -17 Rearrange (0*j + 2*j + 0*j)*(-43 - 46 + 168 - 2*j) to the form q + g*j**2 + a*j and give a. 158 Rearrange 8*m - 11*m - 12*m - 10*m to the form a*m + j and give a. -25 Rearrange 11 - 96*k**2 + 3 + 11 - 27 to x*k + l*k**2 + n and give l. -96 Express 3*t - t - 6 - 12 + (0 + 1 + 0)*(-2*t + 1 - 1) - 1 + t + 1 as f + p*t and give f. -18 Rearrange 81*r + 3*r**4 - 8*r**3 + 9*r**3 - 81*r - 2*r**2 - 1 to the form i*r + m*r**4 + c*r**3 + a*r**2 + k and give a. -2 Rearrange (2*x + 2*x - 3*x + (-4 - 3 + 5)*(x - x - x))*(-10 - 10 + 6)*(x - 2 + 2) to the form y + z*x + a*x**2 and give a. -42 Express 9*c**2 + 5*c**3 + 9*c**2 - 3 - 2*c - 18*c**2 in the form d*c**3 + w*c**2 + a*c + i and give i. -3 Express (-6*c**4 + 9*c - 9*c + 42*c**4)*(1 - 2 - 2) in the form r*c + s + l*c**4 + p*c**2 + n*c**3 and give l. -108 Rearrange 15*w + 32*w - 18*w - 2*w + w + 2*w + (-4 + 4 + w)*(5 - 3 - 4) + 3*w + 0*w - w - w + 0*w - 2*w to the form b + i*w and give i. 27 Express 6*p**3 - 2*p**3 - p**3 + (-3*p**2 - 3*p**2 + p**2)*(-3*p + p + p) in the form o*p + g*p**3 + r + w*p**2 and give g. 8 Express 2*h**4 + 2*h**3 - 2*h**3 + (4*h**3 + 2*h**3 - 4*h**3)*(15*h - 6 + 6) + 4*h**4 - 5*h**4 + 2*h**4 as p*h**2 + a*h**3 + b*h**4 + z*h + w and give b. 33 Express (-2*k + 25*k + 37*k + 15*k)*(3 - 3 - 2*k) in the form p*k + x*k**2 + a and give a. 0 Rearrange (27 + 34 + 12*t - 14*t)*(-3*t - t + 2*t)*(-2 + 2 + 2*t) to i + o*t**3 + r*t**2 + m*t and give o. 8 Express -17*w + 4*w + 0*w + (0*w + 0*w + w)*(2 - 6 + 3) + 1 + 2*w - 1 + (0*w - 3*w + 2*w)*(-2 + 2 - 2) as m*w + t and give m. -10 Express -3 - 6 + 22*y + 9 in the form a*y + x and give a. 22 Express 15*f**4 - 2*f - 211*f**2 + 2 - 1 + 209*f**2 as m*f + k*f**3 + c*f**4 + v*f**2 + d and give d. 1 Express ((0 + 1 + 1)*(-2 + 3*d**2 + 2) + (-d - 1 + 1)*(0*d + 5*d - 4*d) - 1 - 3*d**2 + 1)*(5*d**2 + 6*d - 6*d) as o*d + a*d**4 + h*d**2 + k*d**3 + m and give a. 10 Rearrange -6*j**2 + 2*j**3 + 6*j**2 + (3*j**3 - 2*j**3 + 0*j**3)*(5 - 1 - 2) - j**3 - 1 + 1 to the form a*j**3 + v*j**2 + l*j + b and give a. 3 Express 4*a**3 - a**3 - a - a**3 in the form d + t*a + n*a**3 + m*a**2 and give t. -1 Express -3*y**2 + 21*y**3 - 22*y**3 - 4*y**4 + 3*y - 3 - y as b + v*y + c*y**2 + m*y**4 + d*y**3 and give c. -3 Express 233*k**2 + 4*k - 236*k**2 - 2*k + 2 + (2*k + 0 + 0)*(0*k - k - k) - k**2 + k**2 - k**2 as w + m*k**2 + r*k and give r. 2 Express -4*d + 8*d + d**3 - d**2 - 2*d**4 + 3 - 1 - 2*d**2 in the form h*d**3 + r + t*d + z*d**2 + l*d**4 and give l. -2 Rearrange -21*h - 19*h - 4*h + 10*h to the form t + m*h and give m. -34 Express w + 3*w**2 + 0*w**2 + 2*w**2 + 28 - 2*w**2 in the form l*w + z*w**2 + g and give g. 28 Express (4*q**3 + 2*q**3 - 2*q**3)*(-1 - 1 + 1) + 2*q**3 - 4*q**3 + q**3 - 1 + 2*q + 1 - q**3 in the form l + h*q**2 + r*q**3 + v*q and give r. -6 Express 33*z**3 - 19*z**3 + 17 - 16*z**3 - 5*z**2 in the form u*z + l + k*z**3 + c*z**2 and give c. -5 Express 4 + 3*k - 4 + 9*k in the form j + h*k and give h. 12 Express g**3 + 88*g**2 - g - 43*g**2 - 52*g**2 + 4 - 2 as l*g**3 + x*g + z*g**2 + w and give l. 1 Express (-2 + 2*l + 2 + (-1 + 2*l + 1)*(0 - 3 + 0) + 1 - 1 + 2*l + 3*l - 2*l - 3*l)*(-2*l + 2*l + 3*l**2) in the form m*l + z*l**2 + y*l**3 + n and give y. -12 Rearrange 12*f + 83*f**2 - 19*f + 9*f to the form d*f + a*f**2 + x and give d. 2 Express -4*l**3 + 0*l + 5*l**3 - l**2 + l + 5*l**3 as q*l + c + x*l**3 + m*l**2 and give q. 1 Express 2*m**3 + 5 - 18 + 7 as i*m**3 + g + v*m + y*m**2 and give g. -6 Express 2*d - 3*d - 2*d + (2 - 1 + 1)*(0*d - 3*d + d) + 3*d - 2 + 2 - 2*d + 0 + 0 as b*d + n and give b. -6 Express (-127*j - 2 + 352*j + 2)*(2*j**2 - j**2 + j**2) in the form w*j**2 + z*j**3 + i + k*j and give w. 0 Rearrange -3*n + 379*n**2 - 378*n**2 + 8*n to k*n**2 + w*n + t and give w. 5 Express 63 - 131*i - 63 as a*i + u and give u. 0 Express 0*d**3 + 2*d**3 - 3*d**3 - d + (2*d**3 + d**3 - d**3)*(-2 - 5 + 4) in the form u*d**2 + k*d + g*d**3 + a and give g. -7 Express 5*s + 0 - 4*s - 18 - 3*s in the form q + o*s and give q. -18 Express (2*t - 2*t + 4*t**2)*(2 - 3 + 4)*(-3*t**2 + t**2 + 0*t**2)*(0 - 2 + 15) as l*t**2 + n*t + r*t**4 + a*t**3 + u and give r. -312 Express (-103 - 71*n + 103)*(4*n - 4*n - n) in the form t + o*n + u*n**2 and give u. 71 Express (-5 - 2*j**3 + 5)*(92*j + 88*j - 266*j) as y*j**4 + r*j + c + h*j**2 + a*j**3 and give y. 172 Express -416 + 416 - 16*n in the form u*n + j and give u. -16 Rearrange (5 - 4 - 2)*(-2 + 1 + 0)*(2*v + 4*v - 2*v) to b + s*v and give s. 4 Express (3*u + 4*u - 5*u)*(-3*u**2 + u**2 - 3*u**2) + u**3 - 4*u**3 + 5*u**3 in the form j*u + a*u**2 + n + i*u**3 and give j. 0 Express 2*m**2 - 30*m - 1 + 9*m - 32*m as h*m**2 + c*m + j and give c. -53 Express (-3 + 9*a**2 + 2*a + 3)*(-3*a - 3*a - 2*a) in the form u + c*a**2 + s*a**3 + l*a and give c. -16 Rearrange 33*z - 44*z - 51*z to the form f + a*z and give a. -62 Express -14*k + 6*k - 7*k as z*k + b and give z. -15 Express b**2 + 6 - 9 + 0*b**2 in the form n + r*b + c*b**2 and give n. -3 Rearrange 2*g + g**2 + 2*g**4 - 5*g**3 + 3*g**3 + 0*g - g to n*g + q + m*g**2 + r*g**4 + w*g**3 and give r. 2 Express (7 - 55 - 23)*(-2 - 2 + 1)*(0*h - 6*h + 3*h) as d*h + w and give d. -639 Rearrange 3*u + 6*u - 7*u + 5*u to the form i*u + c and give i. 7 Rearrange -c + 44*c**4 - 5*c**3 - 7 + 5 - c**2 - 43*c**4 to z*c**4 + s*c**3 + f + r*c + t*c**2 and give t. -1 Express ((-4 + 5 - 2)*(a - 3*a - 2*a) + a + a - a)*(-1 + 1 - 2*a**2) as o*a + f*a**2 + d*a**3 + t and give o. 0 Express 4*l**2 + 0*l**3 + 6*l**3 - 5*l**3 + 3 in the form
{ "pile_set_name": "DM Mathematics" }
-3306706 In base 7, what is -34230411 - -22? -34230356 In base 8, what is -357567 + 5171? -352376 In base 10, what is 0 - 61658069? -61658069 In base 5, what is -3 + 143133110334? 143133110331 In base 16, what is -9f8e9 - 5? -9f8ee In base 3, what is 2000111111122101 - -1? 2000111111122102 In base 10, what is 619 + 5070? 5689 In base 4, what is 1020223 + 303230011? 310310300 In base 5, what is 1111404244110 - 10? 1111404244100 In base 3, what is 2021 - 12111122210? -12111120112 In base 14, what is ca58272 + -4? ca5826c In base 2, what is -10010111000101 + -1000110011000? -11011101011101 In base 10, what is -1777 + 5241? 3464 In base 13, what is -1931 + -1941? -3572 In base 11, what is 0 - 15363391? -15363391 In base 10, what is 11 - -22228140? 22228151 In base 2, what is 100100001011 + 11100000011111? 100000100101010 In base 12, what is -8 + 31b6a? 31b62 In base 6, what is 2222250 + 310? 2223000 In base 3, what is 12 - -1012022102001? 1012022102020 In base 6, what is 13054144142 - -1? 13054144143 In base 4, what is 1202200011 - -11232? 1202211303 In base 5, what is 22204 + -24213020? -24140311 In base 4, what is 1332 - -220222021? 220230013 In base 13, what is 274410 - a7? 274336 In base 11, what is 1948a4 + 154? 194a48 In base 5, what is -4 - 12043144014? -12043144023 In base 4, what is -221010010321 + 221? -221010010100 In base 12, what is 22 - 87b22? -87b00 In base 13, what is -5 - 796875? -79687a In base 7, what is 534564565 + -3? 534564562 In base 15, what is -9be - -127cb? 11d0c In base 15, what is -5d30 - -1336e? c53e In base 3, what is -112200010000 + 20? -112200002210 In base 4, what is -321021001133 + 1? -321021001132 In base 14, what is 1261 + 1ca9? 312a In base 7, what is 1240 - 560030? -555460 In base 7, what is 1364 - -31160? 32554 In base 15, what is ba7 + -1015a? -e4a3 In base 2, what is -11011100011 + 100011010110111? 11111111010100 In base 3, what is 10120 - -111110121112120? 111110121200010 In base 5, what is -11231 + 213312414? 213301133 In base 3, what is -112200 + 11020112110211? 11020111221011 In base 4, what is -11 - 11001012202030? -11001012202101 In base 8, what is -2 - -2271424? 2271422 In base 2, what is -10100101011 + -1010010001100001? -1010100110001100 In base 7, what is -654161 + -1020? -655211 In base 2, what is -10101 + -11001011100101111101? -11001011100110010010 In base 10, what is -4 - 105257613? -105257617 In base 7, what is -5 - 40255261? -40255266 In base 2, what is -1101100000011 + 10001001001? -1011010111010 In base 5, what is -1402142 + -11223? -1413420 In base 16, what is 48f7c5f + -2? 48f7c5d In base 4, what is 200321031 + -1? 200321030 In base 15, what is 42c + 6c3a? 7167 In base 16, what is -3c89df + e? -3c89d1 In base 6, what is 150113350 + -1? 150113345 In base 6, what is 5453554002 + 0? 5453554002 In base 9, what is -4 + -143137532? -143137536 In base 15, what is -4 - -4d77b63? 4d77b5e In base 10, what is -160147872 + 5? -160147867 In base 2, what is -111101110010000011 - -1011? -111101110001111000 In base 5, what is 31443014110 - 4? 31443014101 In base 5, what is 242 - 1441004? -1440212 In base 6, what is -3532134404 - 3? -3532134411 In base 15, what is -2ec - 58c8? -5bc5 In base 16, what is 5 - 13e3c7? -13e3c2 In base 8, what is -457 + 671734? 671255 In base 5, what is -32014404 - -1? -32014403 In base 2, what is -110110 + -1010101011001101010110? -1010101011001110001100 In base 5, what is 1001342 + 433211? 1440103 In base 3, what is 0 - -111012111221002002? 111012111221002002 In base 9, what is 364 - 5783? -5418 In base 7, what is -1 - 216616451? -216616452 In base 2, what is -101110 - 1111100110011100111? -1111100110100010101 In base 7, what is 152 - -34643035? 34643220 In base 16, what is 13d - 279d5? -27898 In base 5, what is -31211400010 + 11? -31211344444 In base 13, what is 8919779 + 1? 891977a In base 12, what is 36289944 + -2? 36289942 In base 5, what is 233301140 - -210? 233301400 In base 6, what is 5 + -144252351? -144252342 In base 3, what is 12102 + -12012001001? -12011211122 In base 10, what is -13 - -64595? 64582 In base 9, what is -1226476 - -120? -1226356 In base 2, what is -1001110110110101100110 + -110? -1001110110110101101100 In base 7, what is -5121136 - -13? -5121123 In base 13, what is -436 + 4178? 3a42 In base 13, what is -392 - 4596? -4958 In base 15, what is -d - -29bb31? 29bb23 In base 14, what is 3 - -3122a1? 3122a4 In base 4, what is -303 + 3110100331? 3110100022 In base 2, what is 1111001 - 1011011110110110? -1011011100111101 In base 4, what is -10 - -30332011133? 30332011123 In base 10, what is 1572524 - 2? 1572522 In base 13, what is -25c7b4 - a? -25c7c1 In base 4, what is 10 - -20123300030? 20123300100 In base 2, what is 100000000011010011 - -10111111001? 100000011011001100 In base 12, what is -44484 - 25a? -44722 In base 9, what is 14123 + 10763? 24886 In base 15, what is bb6 - 3827? -2b61 In base 16, what is -7b008 + ad? -7af5b In base 6, what is -3 - -54500534432? 54500534425 In base 8, what is 37 - 231403? -231344 In base 15, what is -12103e0 - -4? -12103db In base 10, what is 7125613 + 2? 7125615 In base 12, what is -2ab - -41b63? 41874 In base 6, what is 5401 + 2051120? 2100521 In base 6, what is -30 + 14534011? 14533541 In base 13, what is -183c6 + 18? -183ab In base 6, what is 1410 + 3150551? 3152401 In base 6, what is 5 + 1333054241? 1333054250 In base 5, what is 4 - 14001202112? -14001202103 In base 4, what is -11111020330 + -1231? -11111022221 In base 5, what is -11311430 + -3? -11311433 In base 4, what is 23303 - -2032013? 2121322 In base 2, what is 101100111 - 100010000111111? -100001011011000 In base 6, what is 222 - -214404? 215030 In base 13, what is 317 + -1c0c76? -1c095c In base 13, what is -41a60b8 + -3? -41a60bb In base 13, what is -158c - -62a0? 4a11 In base 3, what is 101001020021102 + 111? 101001020021220 In base 7, what is -131402613 - 143? -131403056 In base 7, what is -13024 + -1024? -14051 In base 8, what is 246763611 + 25? 246763636 In base 16, what is 1d - -3d6a0? 3d6bd In base 11, what is 12991113 + 22? 12991135 In base 2, what is 10000111001001101 - 1101111? 10000110111011110 In base 14, what is 438b35 + -4a? 438ac9 In base 2, what is 1000001001110100000101010 - 1? 1000001001110100000101001 In base 9, what is -4572141 - -13? -4572127 In base 14, what is 4aa - 353d? -3073 In base 4, what is 131303 - -222333331? 223131300 In base 3, what is -101112110 - -1102112210? 1001000100 In base 8, what is -4 + 1415553621? 1415553615 In base 16, what is ff - -28aa4f? 28ab4e In base 7, what is -1505 - -30463? 25655 In base 11, what is -494277 - 16? -494292 In base 10, what is 0 - -9364953? 9364953 In base 11, what is 0 + -1253007? -1253007 In base 3, what is 1022 - -1001210212222? 1001210221021 In base 2, what is 110011101 - -111001100? 1101101001 In base 8, what is -306062 - -40? -306022 In base 9, what is 14080068 - -3? 14080072 In base 4, what is -130021 - -201312201? 201122120 In base 12, what is -1188222 + -5? -1188227 In base 10, what is 4 + 2574188? 2574192 In base 6, what is -301 - -10354431? 10354130 In base 7, what is -12405656 - -254? -12405402 In base 2, what is 11100111101100 - -111011001101? 100100010111001 In base 15, what is bb9 - c5c? -93 In base 12, what is 558 - -25b80? 26518 In base 12, what is -1470564 + 20? -1470544 In base 2, what is -110101010001001100 - -101111101010? -110100100001100010 In base 16, what is -14480 + -a? -1448a In base 16, what is 1 - -500648? 500649 In base 11, what is 211515 + -284? 211241 In base 6, what is -4031203453 - 2? -4031203455 In base 12, what is -482204 + -2? -482206 In base 14, what is 198 + -9a0? -806 In base 5, what is 4222 - 202420? -143143 In base 9, what is -6 - -35302163? 35302156 In base 3, what is -102010000 + 101111210? -121020 In base 15, what is -ed7e - 1d6b? -11bea In base 15, what is 57 - 3ee563? -3ee50b In base 7, what is 14630561 + -2? 14630556 In base 14, what is -d5388 + -b? -d5395 In base 16, what is -3 - 192f874? -192f877 In base 11, what is -2a9 - -174301? 174003 In base 5, what is -1140300 + 40100? -1100200 In base 12, what is -4908 - 6706? -b412 In base 13, what is 4150c + -26? 414b6 In base 10, what is -154660238 + 3? -154660235 In base 16, what is -263 + 7c693?
{ "pile_set_name": "DM Mathematics" }
b) = -b**2 - b. Let s(z) = -2*z**2 - 3*z. Let t(p) = -6*q(p) + 2*s(p). Suppose 5*v - 44 = v. Let u(j) = -9*j + v*j - 5*j. Determine u(t(x)). -6*x**2 Let c(a) be the third derivative of a**5/30 - 46*a**2. Let x(g) = 17*g**2 + 4*g. Let y(m) = 120*m**2 + 27*m. Let o(h) = 27*x(h) - 4*y(h). Determine c(o(u)). 882*u**4 Let z(q) = 2*q**2. Let w(k) = -48*k**2 - 7*k - 14. Let r(x) = -25*x**2 - 3*x - 6. Let v(i) = -7*r(i) + 3*w(i). Calculate v(z(t)). 124*t**4 Let a(g) = -14*g**2 - 3. Let k(z) = 91*z + 34. What is k(a(o))? -1274*o**2 - 239 Let t(p) = 96*p - 1. Let z(n) = 4*n + 25. Let a(x) = -4*x - 20. Let l(s) = 5*a(s) + 4*z(s). Calculate t(l(m)). -384*m - 1 Let d(p) = -119*p - 35. Let m(a) = 7*a + 2. Let w(u) = -7*u + 21. Let b be w(8). Let o(x) = b*m(x) - 2*d(x). Let t(y) = 3*y. What is o(t(z))? -21*z Let h(g) = 14*g**2 - 6*g + 6. Let b(t) = -99*t**2 + 44*t - 44. Let d(a) = 3*b(a) + 22*h(a). Let u(f) = -f**2. What is d(u(x))? 11*x**4 Let b(k) = 16*k + 12. Let c(s) = 33*s + 30. Let l(j) = 5*b(j) - 2*c(j). Let d(x) = 10*x. Determine d(l(i)). 140*i Let j(r) = -2*r. Let d(l) = l**2 + 4*l + 5. Let z be d(-3). Let n(t) = -12*t**2 + 7*t**z + 7*t**2. What is j(n(w))? -4*w**2 Let p(q) = 58091*q. Let w(o) = -2*o**2. Calculate p(w(f)). -116182*f**2 Let f(w) = -28*w. Let s(d) be the first derivative of d**3/6 - 3*d - 37. Let c(g) be the first derivative of s(g). Calculate f(c(n)). -28*n Let x(n) = 193494*n. Let a(w) = -2*w. What is a(x(u))? -386988*u Let w(x) = 15*x**2 - 1. Let a(k) = -353*k. Determine w(a(d)). 1869135*d**2 - 1 Let c(v) = 17*v**2 - 10*v**2 - 3*v**2 - v**2 + 0*v**2. Let x(w) be the third derivative of -2*w**4/3 - 2*w**2. Calculate c(x(j)). 768*j**2 Let s(a) = -18*a**2. Let n(c) = -6625 + 6625 - c. Give n(s(t)). 18*t**2 Let p(l) = 664*l + 1. Let y(j) = -56*j**2. What is p(y(k))? -37184*k**2 + 1 Let f(a) = 150*a. Let n(o) = -54*o**2 + 27*o**2 + 29*o**2. Determine n(f(w)). 45000*w**2 Let m(g) = 7*g**2 - 4*g - 4. Let a = 3 + -7. Let h(k) = 6*k**2 - 3*k - 3. Let f(s) = a*h(s) + 3*m(s). Let y(p) = p**2. What is y(f(z))? 9*z**4 Let p(u) = 56*u. Let g(d) = 592*d. Determine g(p(x)). 33152*x Let w(s) = -36*s**2. Let r(k) = k. Let z(g) = -2*g. Let d = -85 + 82. Let n(b) = d*r(b) - 2*z(b). Determine w(n(c)). -36*c**2 Let h(a) = -5*a + 0 + a**2 + 4 + a. Let b(k) = k**2 - 3*k + 3. Let n(w) = -4*b(w) + 3*h(w). Let s(i) = 10*i**2. What is n(s(u))? -100*u**4 Let i(x) be the third derivative of -x**5/20 - 65*x**2. Let q(y) = -53*y. Give i(q(z)). -8427*z**2 Let t(m) = -12*m. Let q(k) = -62407*k + 2. Determine q(t(i)). 748884*i + 2 Let v(y) = y**2. Let a(w) be the third derivative of 11*w**4/8 + 93*w**2. Determine a(v(o)). 33*o**2 Let g(l) = 24*l. Let h(r) = 9*r - 5. Let x(w) = 9*w - 6. Let b(v) = 6*h(v) - 5*x(v). What is b(g(q))? 216*q Let l(z) = -13*z. Let o(v) = -15454*v - 4. Determine o(l(w)). 200902*w - 4 Let h(j) = -15*j**2. Let c(z) = -56361*z. Calculate c(h(a)). 845415*a**2 Let d(l) = -26*l + 1. Let v(j) = -11035*j. What is v(d(z))? 286910*z - 11035 Let t(i) = 14*i**2. Let x = -18 + 20. Let l(d) = x*d - d - d + 2*d. Calculate t(l(g)). 56*g**2 Let v(m) = 70*m - 13. Let i(s) = s - 3*s + 4 - 1 - 15*s. Let g(a) = 26*i(a) + 6*v(a). Let q(x) = -x. Give g(q(k)). 22*k Let w(g) = g + 8. Let v(r) = -r - 8. Let o(y) = -7*v(y) - 6*w(y). Let s(l) = l. Calculate o(s(i)). i + 8 Let i(f) = -35*f**2 - 2*f - 298. Let z(s) = 4*s**2. What is i(z(v))? -560*v**4 - 8*v**2 - 298 Let m = -116 - -139. Let d(p) = -41*p + m*p + 17*p. Let q(r) = 4 + 5*r - 4. Calculate q(d(c)). -5*c Let u(a) = 259*a - 130*a - 129*a + 2*a**2. Let g(y) = -54*y**2. Calculate g(u(k)). -216*k**4 Let f(r) = -r**2. Let x(m) = -4*m + 3. Let l be x(-1). Let g(q) = -39*q + 39*q - l*q**2. Calculate f(g(b)). -49*b**4 Let u(v) = 4*v. Suppose 7*b - 15 = -4*x + 2*b, 4*b = -2*x + 12. Let c(h) be the second derivative of x*h**2 + 0*h**3 - h - 1/6*h**4 + 0. Determine u(c(n)). -8*n**2 Let w(i) = -9192*i + 5. Let q(g) = -3*g. Calculate w(q(k)). 27576*k + 5 Let z(f) be the first derivative of f**5/30 - f**3/3 + 1. Let c(v) be the third derivative of z(v). Let j(w) = 3144 - 3144 + 4*w**2 - 3*w**2. Give j(c(m)). 16*m**2 Let f(c) = -7*c + c + c + 11*c. Let t(l) = 2 - 2 - l. Give f(t(h)). -6*h Let g(i) be the first derivative of i**3 - 7*i + 55. Let d(m) = -4*m**2. What is g(d(n))? 48*n**4 - 7 Let s = -24 - -24. Suppose -4*b + 5*b - 4 = s. Let h(m) = -13*m**2 - b*m + 14*m**2 + 4*m. Let r(z) = -11*z**2. Calculate r(h(w)). -11*w**4 Let b(j) = 3*j**2. Let m(y) = 15*y**2 + 2. Let l(o) = -13*o**2 - 2. Let d(i) = -6*l(i) - 5*m(i). Calculate b(d(f)). 27*f**4 + 36*f**2 + 12 Let f(o) = o. Let u(p) = -p**3 + 8*p**2 - 9*p + 16. Let t be u(7). Let h(i) = 21*i**t - 63*i + 63*i. Determine f(h(q)). 21*q**2 Let b(w) be the third derivative of w**5/20 + 40*w**2. Let m(r) = -6*r + 2*r + 13*r. Calculate m(b(q)). 27*q**2 Let m(d) = -3*d**2. Let y(l) = -l**2 + 25*l - 52*l + 10*l. Calculate y(m(v)). -9*v**4 + 51*v**2 Let w(b) = -143*b**2 + 144*b**2 - 18 + 18. Let q(x) = 26*x + 1 - 1 + 5*x. Give w(q(r)). 961*r**2 Let r(w) = -7*w**2. Let k = -10 + 12. Let l(i) = 7*i**2 - 15*i**2 + 5*i**k. Give l(r(t)). -147*t**4 Let l(f) = 5*f. Suppose 76*g - 260 - 120 = 0. Let p(t) be the second derivative of 0*t**3 + 0 + g*t + 1/12*t**4 + 0*t**2. What is l(p(o))? 5*o**2 Let f(l) = l**2. Let p(z) = -39*z**2 - 112*z**2 + 25*z**2. Calculate p(f(s)). -126*s**4 Let h = -19 + 37. Let b = 20 - h. Let l(v) = 13*v**2 - 9*v - 9. Let j(p) = 3*p**2 - 2*p - 2. Let r(n) = b*l(n) - 9*j(n). Let s(a) = -4*a. What is s(r(k))? 4*k**2 Let l(j) = 11*j - 9. Let q(m) = 5*m - 4. Let c(i) = -4*l(i) + 9*q(i). Let r(y) = 23*y - 3. What is c(r(s))? 23*s - 3 Let i(j) be the third derivative of j**5/30 - j**2. Let p(k) = -5*k - 13. Let d be p(-3). Let u(q) = -4*q**d - q**2 - 3*q**2 + q**2. Determine u(i(f)). -28*f**4 Let b(n) = 24*n - 17*n + 3 - 3 - 10*n. Let r(f) = 122*f**2. What is r(b(t))? 1098*t**2 Let s(j) = 3*j + 5375 - 5375. Let m(w) = -27*w**2. Give s(m(a)). -81*a**2 Let l(f) = -2*f**2. Let x(z) be the first derivative of 16*z**3/3 - 10. Calculate l(x(n)). -512*n**4 Let w(l) = -2*l**2. Let v(x) = -27577*x. What is w(v(r))? -1520981858*r**2 Let k(h) = -h**2. Let l(g) = -4*g**2 + 67930. Determine l(k(n)). -4*n**4 + 67930 Let k(r) = -5*r + 2*r + 0*r. Let z be 2*(6 + -1 - 4). Let y(x) = z*x**2 - 1292 + 1292. Give y(k(u)). 18*u**2 Let v(z) = 121*z - 52. Let i(k) = -k. Determine i(v(g)). -121*g + 52 Suppose 6*d - 4*d = 8. Let y(w) = -d*w - 107 + 55 + 52. Let l(f) = 6*f. What is y(l(q))? -24*q Let n(q) be the first derivative of -q**2 + 2. Let i(p) = 18*p. What is n(i(a))? -36*a Let u(d) = -3*d. Let y(t) be the first derivative of -7*t**3 + 41. What is u(y(x))? 63*x**2 Let i(y) = 16*y. Let r(w) = 36*w**2 - 2*w. Give i(r(j)). 576*j**2 - 32*j Let q = 1487/2 + -743. Let r(p) be the second derivative of -q*p**3 - 2*p + 0*p**2 + 0. Let j(k) = 5*k**2. Calculate r(j(u)). -15*u**2 Let u(d) = -10*d**2. Suppose x + 2*x + 3 = 0, 2*c + 5*x - 5 = 0. Let t(w) be the first derivative of 2/3*w**3 + 0*w + 0*w**2 - c. Calculate t(u(m)). 200*m**4 Let b(g) = g**2. Let c(x) = -x - 6779. Calculate c(b(z)). -z**2 - 6779 Let k(q) = -2*q**2 - 5*q. Suppose -1 = -2*r + 11. Let z(f) = 2*f**2 + 6*f. Let u(c) = r*k(c) + 5*z(c). Let g(x) = -1 + 1 + 14142*x - 14146*x. Give g(u(m)). 8*m**2 Let q(d) = -d**2. Let k(g) = 192863*g**2 - 1970*g + 985. Let p(a) = -392*a**2 + 4*a - 2. Let t(s) = 2*k(s) + 985*p(s). Determine t(q(o)). -394*o**4 Let k(b) = -547*b + 27*b - 342*b + 182*b. Let t(p) = -2*p**2. What is t(k(r))? -924800*r**2 Let c(v) = -73*v**2 + 2*v. Let z(u) = 63*u**2. Give c(z(f)). -289737*f**4 + 126*f**2 Suppose 21 + 6 = -3*s. Let x(w) = -17*w**2 + 18*w + 9. Let d(t) = 8*t**2 - 9*t - 4. Let u(i) = s*d(i) - 4*x(i). Let b(z) = 2*z**2. Calculate u(b(m)). -16*m**4 + 18*m**2 Let r(q) = -46*q - 10. Let x(k) = 1 - 4 + 945*k - 960*k. Let s(u) = 6*r(u) - 20*x(u). Let y(z) = -3*z**2. Calculate s(y(g)). -72*g**2 Let w = 5 - 3. Let x(q) = -18*q**w + 8 - 8. Let r(o) = 8*o**2 + 3*o**2 + 11*o**2 - 24*o**2. Give r(x(j)). -648*j**4 Let b(k) = -110036*k. Let j(a) = -6*a**2. Calculate j(b(d)). -72647527776*d**2 Let y(d) = -13*d**2 - 25*d**2 + 9*d**2 + d**2. Let p(j) = -2375 + 2375 - j**2. Give p(y(a)). -784*a**4 Let p(c) = 2*c**2 + 98*c.
{ "pile_set_name": "DM Mathematics" }
= -211*x. Let j(o) be the third derivative of -o**5/60 - 5*o**2 + 81*o. Give q(j(m)). 211*m**2 Let q(a) be the first derivative of -3*a**2/2 + 1. Suppose 176*z = 163*z + 39. Let j(d) = d - 2*d + 4*d - z*d + d. Calculate j(q(t)). -3*t Let h(q) = q + q - 2*q - 14*q**2. Let f = 64 - 58. Let p(a) = -a. Let r(t) = -t. Let s(u) = f*r(u) - 3*p(u). Determine s(h(b)). 42*b**2 Let g(c) = 2*c**3 + 4*c**2 - 7*c - 32. Let o be g(6). Let s(q) = -668*q + 465*q + o*q - 2. Let a(h) = h. What is s(a(b))? 299*b - 2 Let j(q) = 5*q**2. Let w(l) = -12643943*l. Calculate w(j(p)). -63219715*p**2 Let w(y) = -593*y**2 + 1 - 593*y**2 - 1 + 1191*y**2. Let o(c) = -31*c**2 - 2. What is w(o(t))? 4805*t**4 + 620*t**2 + 20 Let b(w) be the first derivative of -w**2 - 2. Let m(d) = -21*d + 4*d - 17*d + 7*d. Let h(x) = 4*x. Let i(o) = 15*h(o) + 2*m(o). Determine b(i(c)). -12*c Let s(y) = -4*y. Let g(z) be the third derivative of -z**5/30 - 858*z**2. What is s(g(l))? 8*l**2 Let c(k) be the second derivative of -k**4/12 - 801*k. Let s(r) be the third derivative of -2*r**4/3 + 7*r**2. Give s(c(h)). 16*h**2 Let x(m) = m. Let t(j) = -289 + 146 + 520*j + 143. What is t(x(w))? 520*w Let c(d) = -5*d. Let z(o) = 348427*o**2 - 2. Determine c(z(x)). -1742135*x**2 + 10 Let i(s) be the third derivative of -71*s**4/24 + 1794*s**2. Let g(t) = -13*t**2. Determine g(i(d)). -65533*d**2 Let j(h) = -14*h**2. Suppose -3*i + 8 = -28*p + 26*p, -5*i = 3*p - 7. Let y(b) = -36*b**i - 26*b**2 + 54*b**2. What is j(y(k))? -896*k**4 Let m(i) = -5*i. Let h(d) be the third derivative of -d**6/144 + d**4/8 - d**3/6 + 152*d**2. Let f(v) be the second derivative of h(v). Determine m(f(g)). 25*g Let s = 4 - 2. Let o(q) = -18*q**2 + 8*q**2 + 14*q**s. Let g(b) = 3*b**2. Determine o(g(i)). 36*i**4 Let s(p) = 16*p**2. Let u(r) be the third derivative of 3*r**4/2 + 3*r**2 - 133. What is u(s(i))? 576*i**2 Let t(o) = 0*o - 5 - 16 - 2*o + 2. Let w(b) = -3*b. Let n(i) = i**2 + 3*i. Let z(l) = -n(l) - w(l). Give z(t(j)). -4*j**2 - 76*j - 361 Let k(t) = -16*t + 7. Let d(o) be the first derivative of o - 73. Let g(u) = -14*d(u) + 2*k(u). Let c(l) = 4*l. Give c(g(s)). -128*s Let z(f) = 6*f**2. Let s(w) = 70826141*w**2. Determine s(z(k)). 2549741076*k**4 Let c(p) be the second derivative of -p**3/2 - 3*p. Let h(d) = -21*d**2 + 126*d - 18. Let n(a) = -a**2 + 7*a - 1. Let w(x) = h(x) - 18*n(x). What is w(c(b))? -27*b**2 Let o(h) be the second derivative of -317*h**3/2 - 9*h + 206. Let q(s) = s**2. Determine o(q(i)). -951*i**2 Let z(g) = 870426*g. Let s(y) = -8*y. Give s(z(k)). -6963408*k Let c(h) = 4*h**2. Let w(b) be the first derivative of -9*b**2/2 - 3*b - 875. Give c(w(f)). 324*f**2 + 216*f + 36 Let g(s) = -s**2. Let n(v) = 5*v**2 + 5*v + 5. Let a be n(-1). Let b be (17 - 2)*(a - -48). Let r(j) = -b + 795 + 38*j. Calculate r(g(k)). -38*k**2 Let w(x) be the third derivative of 17*x**4/8 + 64*x**2. Let c(o) = -26*o. Let l(q) = 5*q. Let f(z) = 3*c(z) + 16*l(z). Calculate f(w(r)). 102*r Let z(h) = 102*h. Let p(s) = -22107*s**2. Give p(z(o)). -230001228*o**2 Let l(d) = 2*d**2. Let v(q) = -268802046*q. What is v(l(y))? -537604092*y**2 Let t(o) = o + 10. Let b(x) be the second derivative of -89*x**3/6 + 1370*x. What is b(t(n))? -89*n - 890 Let y(s) be the third derivative of 4*s**5/15 + 34*s**2. Suppose -i + 2*i = 3*z + 4, 0 = i - 4. Let p(n) = -4*n + z*n + n + 5*n. Calculate y(p(q)). 64*q**2 Let z(a) be the third derivative of -306*a**5/5 - 13052*a**2. Let c(t) = -t. Determine c(z(x)). 3672*x**2 Let i(l) = -1068*l**2. Let g(r) = 89*r**2 + 10. Let t(j) = -80*j**2 - 9. Let p(s) = 9*g(s) + 10*t(s). Give p(i(y)). 1140624*y**4 Let v(y) = -28148*y**2 + 56301*y**2 - 28154*y**2. Let u(d) = d + 3*d + 48 - 5*d. What is v(u(q))? -q**2 + 96*q - 2304 Let l(k) = 53 - 52 + 187*k + 131*k - 46*k. Let v(o) = 2*o**2. Calculate v(l(z)). 147968*z**2 + 1088*z + 2 Let h(s) = -24*s - 5. Let l be ((-35)/70)/(2/(-12)). Let g(i) = -4*i**2 + 0*i**2 + l*i**2 + 7*i**2 - 4*i**2. What is h(g(j))? -48*j**2 - 5 Let i(l) = 2*l - 12. Let h(w) = 1. Let f(u) = 12*h(u) + i(u). Let n(b) = -3*b**2 - b. Let y(r) = 16*r**2 - 4*r. Let j(q) = 6*n(q) + y(q). Calculate j(f(c)). -8*c**2 - 20*c Let s(j) be the second derivative of j**3/3 - 6249*j. Let o(t) = -2 - 7 - 4 + 8*t. Determine o(s(c)). 16*c - 13 Let n = -178 + 180. Let g(o) = 3*o**2 - 19*o**2 - 6*o**2 + o**n. Let k(p) = 5*p - 3. Let l(f) = -f + 1. Let i(z) = k(z) + 3*l(z). What is g(i(d))? -84*d**2 Let x(z) = -74*z**2. Let u(k) = 26*k + 1149104 - 1149104. Determine x(u(o)). -50024*o**2 Let t(o) = 5281*o**2 - 2658*o**2 - 2638*o**2. Let a(d) = 146*d - 2. What is t(a(u))? -319740*u**2 + 8760*u - 60 Let a(v) = -3*v**2. Let l(d) = -8467*d + 22. Give l(a(i)). 25401*i**2 + 22 Let j(f) be the third derivative of -11/60*f**5 + 0*f + 0*f**4 + 0 + 0*f**3 - 35*f**2. Let h(b) = -2*b. Give h(j(i)). 22*i**2 Let f(q) = -140*q - 1. Let w(t) = -105820*t + 105824*t + 0 + 1 - 1. Calculate w(f(c)). -560*c - 4 Let n(r) = 2570*r - 1183*r + 20*r**2 - 1387*r. Let s(o) be the third derivative of -5*o**4/24 + o**2. What is s(n(j))? -100*j**2 Let t(f) = -4*f. Let v(s) = -1514334*s. Calculate v(t(x)). 6057336*x Let j(i) = 88*i**2 - 172*i - 5. Let o(n) = -10*n**2. Give j(o(s)). 8800*s**4 + 1720*s**2 - 5 Let z(j) = -2*j. Let f(m) = 4*m**2 + 2*m + 1. Let s(y) = -4*y**2 - 15*y - 5. Let n(c) = 10*f(c) + 2*s(c). Calculate z(n(k)). -64*k**2 + 20*k Let f(q) = 356299*q - 178150*q + 3*q**2 - 178149*q. Let g(a) = -a**2 - 3102. Calculate g(f(x)). -9*x**4 - 3102 Let t(l) = 2*l + 199. Let p(s) = 36*s - 44. What is t(p(g))? 72*g + 111 Let o(j) = -175*j. Let a(m) = 69*m. Let u(d) = -12*a(d) - 5*o(d). Let l(q) be the second derivative of 5*q**3/6 - 2*q. What is u(l(i))? 235*i Let s(j) = 6*j + 10. Let v(h) = -7*h - 12. Let p(m) = 6*s(m) + 5*v(m). Let t(l) be the third derivative of 21*l**4/4 + l**2 + 27*l. Calculate t(p(a)). 126*a Let x(b) = 12*b. Let o(y) = y**2 + 28*y + 61. Let d be o(-26). Let v(g) = 7 - 16 + d + 2*g. Give x(v(s)). 24*s Let t(h) = -9*h**2 - 22*h - 11. Let z(c) = c**2 + 2*c + 1. Let l(s) = 2*t(s) + 22*z(s). Let m(v) = 14*v**2. Determine m(l(j)). 224*j**4 Let b(i) = 1025*i. Let r(x) be the second derivative of x**3/2 - 37*x + 1. Calculate r(b(s)). 3075*s Let q(y) = -50*y**2 - y + 2*y + y. Let x(u) = -237*u + 1. Let n(w) = 712*w - 3. Let h(v) = n(v) + 3*x(v). Calculate h(q(d)). -50*d**2 + 2*d Let j(b) be the first derivative of -b**2/2 + 1290. Let o(l) = -30*l + 10 - 6 - 4. Determine j(o(y)). 30*y Let z(a) be the second derivative of -7*a**4/12 - a. Let c(q) = 32*q - 8. Let t be c(11). Let y(b) = -1 + 1 + t*b**2 - 346*b**2. Determine y(z(n)). -98*n**4 Let h(u) = 4*u**2. Let o(n) = 40070*n + 1. What is o(h(b))? 160280*b**2 + 1 Let p(d) be the first derivative of 2*d**3/3 + 199. Let a(y) = y + 1. Let b(w) = 5*w - 3. Suppose 0 = -2*u + 3 - 5. Let g(c) = u*b(c) - 4*a(c). What is g(p(v))? -18*v**2 - 1 Let r(a) = 18*a**2. Let f(y) be the first derivative of -29*y**3 - 3777. Calculate r(f(x)). 136242*x**4 Let a(b) be the first derivative of 6*b**3 - 919. Let g(x) = -x. Give a(g(i)). 18*i**2 Let i(z) = -684*z. Let m(b) be the third derivative of 5*b**4/8 + 2*b**2 - 183*b - 1. Determine i(m(j)). -10260*j Let c(a) = -a**2 + 8*a - 41348. Let z(u) = -u**2. Calculate c(z(r)). -r**4 - 8*r**2 - 41348 Let k(u) = -35585*u**2. Let v(d) = 2969*d**2. Determine k(v(p)). -313680387185*p**4 Let q(b) = -18*b. Let m(o) = 467029*o**2 + o. Calculate q(m(v)). -8406522*v**2 - 18*v Let z(u) = -11*u**2 - u + 1. Let k(w) = -108*w**2 - 9*w + 9. Let m(i) = -2*k(i) + 18*z(i). Let s(c) = 2*c + 45. Determine s(m(l)). 36*l**2 + 45 Let x(c) = c**2 + 104*c. Let l(p) be the second derivative of p**5/30 + 34*p**2 + 73*p. Let d(s) be the first derivative of l(s). Determine d(x(i)). 2*i**4 + 416*i**3 + 21632*i**2 Let d(g) = -50*g**2. Let i(b) be the first derivative of 0*b**2 + 20*b + 0*b**3 + 18 - 1/6*b**4. Let z(p) be the first derivative of i(p). Determine d(z(m)). -200*m**4 Let o(p) = 33 - 33 - 5*p. Let q be o(5). Let f(m) = 35*m**2 - 25*m. Let l(y) = -6*y**2 + 4*y. Let n(x) = q*l(x) - 4*f(x). Let a(d) = 2*d. Give n(a(i)). 40*i**2 Let h(z) = 3*z**2 + 7*z + 7. Let d = -1 + -3. Let o be h(d). Let u(n) = -o*n**2 + 10*n**2 + 15*n**2. Let c(p) = 23*p. Determine u(c(v)). -1058*v**2 Let k(c
{ "pile_set_name": "DM Mathematics" }
0 = -4*i + 2*f + y, f = -i + 5*f + 23. Is i prime? True Let m be 12*(1 - 2)/(-2). Suppose 4*p - m = p. Suppose p*d - 35 = -7. Is d composite? True Let x = -626 - -1331. Suppose -4*s + 6*j - j = -2826, s - 2*j - x = 0. Is s prime? True Suppose 0 = 17*b - 22*b + 25. Suppose 3*r + 2158 = b*r. Is r a composite number? True Suppose 2*d + 4*o = -170 + 34, -5*d - 405 = -3*o. Let u = d - -475. Is u a composite number? False Let k = -29248 - -62505. Is k a prime number? False Let g(u) = -u**2 - 13*u + 4. Let m be g(-13). Suppose 0 = 2*j - m*j + 174. Is j prime? False Suppose 0*q - 50 = -5*q. Let t be (q/6)/((-1)/(-3)). Suppose 5*w + 2*n - 28 = 0, -w + t = -n - 2. Is w composite? True Suppose 0*t + 4*t + 14251 = c, 4*t - 57004 = -4*c. Is c prime? True Suppose -5*l + 1228 = -1557. Is l composite? False Suppose -4*y - 11098 = -2*b, 27769 = 6*b - b - 4*y. Is b a composite number? False Suppose -3*q - 2*b = 3*b + 1, 3*q - 5*b = 19. Let x(n) = -3*n - q - 2 - 2*n. Is x(-8) prime? False Let p be (-2)/1 + (-5 - 0). Let n(h) = -h**3 - 7*h**2 - 10*h + 3. Let v be n(p). Let q = 156 - v. Is q prime? True Let v = -13270 - -25001. Is v a composite number? False Let p(j) = -j**3 + 11*j**2 - 1. Is p(-15) a prime number? True Suppose 3*d = 4*d - 12. Let i be ((-9)/(-6))/(d/32). Suppose -i*g - 536 = -8*g. Is g a prime number? False Let j(s) = s**3 + 5*s**2 + 2*s - 6. Let u be j(-3). Is u/(12/49)*2 prime? False Suppose 0*o - 4*o + m = 8, 0 = -2*o + 5*m + 14. Let f(t) be the third derivative of -11*t**4/12 + t**3/2 + 33*t**2. Is f(o) a composite number? True Let y(d) = -6*d**3 - 3*d - 10. Let a be y(-3). Let c be (-3164)/(-21) - (-2)/6. Suppose 2*m - 4*m - 3*h = -c, -h + a = 2*m. Is m prime? True Let r be 3/(-18) + 4 + 43255/6. Suppose -6*q - r = -21139. Is q a prime number? False Suppose 203094 = -2*j + 20*j. Is j composite? True Let i(r) = 119*r + 422. Is i(43) prime? False Let z(b) = 4009*b**2 + 6*b + 4. Is z(3) composite? True Let f(v) = -2*v**3 - 27*v**2 - 12*v + 15. Let p be f(-13). Suppose -2*h - 3*u + 1007 = p*h, -5 = -5*u. Is h a prime number? True Let q(a) = 49*a + 12. Let l(d) = -d**2 - 7*d. Let b be l(-7). Let z be (4 - -3)/(b - -1). Is q(z) a prime number? False Suppose -h + 4866 = 5*d, 0 = 4*h - 5*h + 3*d + 4858. Is h composite? False Let z(c) = c + 12. Let w be z(-8). Suppose 5*t + 2*b = 18, 0*t + 15 = w*t + b. Is (t/6)/((-8)/(-996)) prime? True Suppose -5*a = -2*h - 6251, h - 3653 = -4*a + 1340. Is a a composite number? False Let g = 15801 - 7842. Suppose 8*z = 5*z + g. Is z prime? False Suppose -q - 5851 = -3*m, -12*m + 7*m + 9733 = 3*q. Is m composite? False Let x(h) = -22 - 19 + 98*h + 40. Is x(1) a prime number? True Let o = 7388 + -3409. Is o a composite number? True Suppose -2*l = 3*t + 8, -2*l + 0*t = 5*t + 16. Let p(r) = 11*r**2 - r - r**3 - 2*r**2 - l*r - 11 + 3. Is p(7) a prime number? False Suppose -37*l + 42*l - 5*k = 13680, 4*l - 10954 = 2*k. Is l a composite number? False Let h(m) be the second derivative of 29*m**4/6 + 3*m**3/2 - 15*m**2/2 + 6*m. Is h(6) composite? True Let n(c) = 81*c**2 - 5*c + 5. Let t(j) = j**2 - 19*j + 36. Let z be t(17). Is n(z) a prime number? False Suppose -t - 3*q + 7511 = 0, -44463 = -4*t + 4*q - 14483. Is t a prime number? True Suppose 24*w = 31*w - 7973. Is w prime? False Suppose -l = -2*o + 18614, -9663 = -o + 3*l - 346. Is o a composite number? True Let s = 10 - 10. Suppose 3*w - 21 = -4*x, s = 2*w + 2*x + 2*x - 18. Suppose 2*j = -w*h + 329, 3*h + 326 = 2*j + 7*h. Is j a prime number? False Suppose 175351 = 3*o + 16*o. Is o a prime number? False Let d = -737 - -1039. Suppose 0 = -10*j + d + 668. Is j a prime number? True Suppose -9*n + 5*n + 3*q = -6554, 4*n - 2*q = 6552. Is n prime? True Suppose -4*o + 2*h = -42644, 11*o + h + 10661 = 12*o. Is o a composite number? True Suppose -3*m + 3842 = -m. Is m prime? False Suppose -4*c = 4*r - 2148, 0*r + 1639 = 3*r - 4*c. Is r composite? False Let g = 74 - 75. Is -1*(4*(3 + -317) - g) composite? True Let z = -466 + 3757. Is z prime? False Suppose 7*g - 38316 = -5*g. Is g a prime number? False Let a(s) = 582*s**2 - 21*s + 23. Is a(6) composite? False Suppose -2*s = 5*p + 17823, -3*s - 6555 = 4*p + 7709. Let m = p - -10012. Is m a prime number? True Is ((-5518)/(-8))/((-27)/(-108)) a composite number? True Let u(v) = -v**3 - 12*v**2 - 12*v - 10. Let o be u(-11). Let b(d) = -14*d**3 + 1. Let a be b(o). Let c(h) = h**2 + 11*h - 12. Is c(a) a composite number? True Let b = 70 - 73. Suppose -4*f = -0*f + 8. Is 74/f*-2 - b composite? True Let c(d) = -15 + 29 - d**2 + 21. Suppose 7*z - 12*z = 0. Is c(z) composite? True Suppose -4*y - 34764 = -4*h, -4*y - 43443 = -5*h - 5*y. Is h a prime number? True Let j(i) = -i**3 - 15*i**2 + 3*i - 7. Suppose 2*a + 70 = 5*t, -4*a + 42 = 3*t - 5*a. Suppose 4*h = -t - 50. Is j(h) a prime number? False Let b(d) = -2*d - 9. Let o be b(-5). Is o*4 - (-1659 - 8) a prime number? False Let v(a) = a**3 - 4*a**2 + 6*a + 4. Suppose 3 = 3*r + 24. Let l = r - -12. Is v(l) a prime number? True Suppose 3*j - z - 16499 = 0, 5*j - 6670 - 20819 = 4*z. Is j a composite number? False Let p = 5 - 1. Suppose -2*n + 3*d + 1590 = 5*d, -2*d = n - 794. Suppose 0*h - n = -p*h. Is h composite? False Let y be (-28)/(-13) + 4/(-26). Suppose -g = -y*h + 75, 0*h - h - g = -30. Is h a composite number? True Let r(n) = n + 3. Let v be r(2). Let q(m) be the second derivative of 3*m**4/4 + 2*m**3/3 - 3*m**2 - 3*m. Is q(v) a composite number? False Suppose -5*w - 15 = -m, 2*w - 16 = -4*m - 0. Let y be ((-653)/w)/(1/2). Let r = -386 + y. Is r prime? False Is -2 - (-3 - -8 - (1973 - -7)) prime? True Suppose -207 = -11*x + 453. Suppose -x*z + 63*z - 1533 = 0. Is z prime? False Let m = 607 - -31. Let t = 1285 - m. Is t a prime number? True Let r = 46084 + -25515. Is r a composite number? True Suppose -x = -698 - 1503. Is x a prime number? False Is (1 - -2)*(3 - (-1124)/6) a prime number? True Suppose -3*o = -2*o - 3. Let n(d) = d**3 - 2*d**2 + 5*d - 2. Let b be n(o). Is 262/3*33/b a prime number? True Suppose -6058 = -2*c + 4*h, 94*c - 4*h - 9095 = 91*c. Is c a prime number? True Let y = -22 - 20. Let t be (4 - y/(-9))*-6. Is 19*t*(-3)/(-12) a prime number? True Let n(h) = -17*h**2 - 7*h + 4. Let u(g) = -g**3 + g**2 + 1. Let t(r) = -n(r) - u(r). Is t(-15) composite? True Let k be ((-232)/6)/((-2)/3). Is -1*k*(-21)/6 prime? False Let x be (-24036)/(-45) + 14/(-105). Let r = 1871 - x. Is r composite? True Let n(s) = -1220*s**3 + 12*s**2 + 44*s + 17. Is n(-5) composite? False Let n(u) be the third derivative of u**6/60 + u**5/60 + u**4/24 + 551*u**3/6 + 4*u**2. Is n(0) a prime number? False Let w = 44 - 12. Suppose 3*l - 4*g - 33 = 1, -2*l + 5*g = -w. Suppose -3*j + 206 = v, l*v + j = v + 1100. Is v a composite number? True Is 24512 - (2 - -1) - -6 prime? False Let f(o) = -31*o**3 - 48*o**2 + 13*o - 1. Is f(-9) a composite number? False Let u(h) = -2*h**3 + 4*h**2 + 5*h - 35. Is u(-29) composite? True Let f(k) = 3 - 4*k**3 - k**3 - 3*k - 10*k**3 - k**2 - 5*k**2. Let y be f(-4). Suppose -3*m = -0*m - y. Is m a composite number? False Let m = -31 + 25. Let f(u) = 10*u**2 + 8*u - 5. Is f(m) composite? False Let x be -6 + 2 + 0 - -1. Let v(y) = -195*y + 7. Let c be v(x). Suppose 5*w - 3*r = c, -r - 3 = -4*r. Is w composite? True Suppose 6*u - 2631 = 3*u. Is u a composite number? False Let j = 8255 + -3258. Is j a composite number? True Suppose 12*o = 311282 + 22210. Is o a prime number? True Let r(u) = -11*u**3 - 5*u**2 + 14*u - 61. Is r(-15) a prime number? True Let b be 0 + (18 + -13)*(-1 + 264). Suppose -24*c + 19*c + b = 0. Is c a prime number? True Suppose -11*h + 54781 = 276. Is h a composite number? True Let f = -103 - -97. Is (13611/f)/((7/2)/(-7)) prime? False Suppose -13*h = -10*h + 1788. Let r = -303 - h. Is r prime? True Suppose -13*q - 890 = 1268. Let a = 707 + q. Is a prime? True Let v(t) be the first derivative of 11*t**5/60 - t**4/6 - t**3/6 - t**2 - 6. Let l(j) be the second derivative of v(j). Is l(-4) a composite number? False Let t(q) = 1. Let k(b) = -7*b**2 - 2*b - 12. Let j(d) = -2*k(d) - 22*t(d). Let s be j(6). Let g = s + -373. Is g composite? False Let k = 1940 - -5957. Is k a composite number? True Let g(q) = 4 - 3 + 2 - 266*q. Is g(-2) a composite number? Tr
{ "pile_set_name": "DM Mathematics" }
-2)/(-7) + (-164)/i. Solve -5*p + 13 - 3 = -t, -3*p - g = 3*t for p. 1 Suppose 0*a - a = -4. Suppose 2*h - 3*w = 0, h = 3*w - 5*w + 7. Solve -3*u = 4*v + 11, -5*u - a*v + 10 = -h*v for u. 3 Let r = -2 - -6. Suppose -r*c - 4 = -5*c. Solve 5*t = -3*m + 24, 7*t + 5*m - 24 = c*t for t. 3 Let f be (-1)/(((-4)/2)/2). Solve 0 = 3*a + 2*n - 0*n - 7, f = 2*a + 5*n for a. 3 Suppose 0 = 5*i - 4*y - 5, -3*i = -i - 5*y + 15. Solve 0*m - i*a - 5 = -5*m, m + a - 3 = 0 for m. 2 Let h(d) = -d**3 - 8*d**2 - d - 8. Let j be h(-8). Solve j = -2*y - 2*f - 8, 4*y - 3*f - 10 = 2 for y. 0 Let f = 32 + -12. Solve 3*x = 2*z - 10, -z + f = -5*x + 3*z for x. 0 Let z(i) = -i**2 - 14*i - 3. Let g be z(-14). Let n be g/((-4)/(-4) - 2). Solve -2*r + 0*r + 5*u + 4 = 0, 0 = 2*r - n*u for r. -3 Let g = 57 + -54. Solve 2 = -2*h - j, 0 = -h - g*h - 4*j for h. -2 Suppose 2*n - 1 = -7. Let s(b) = -b**2 - 3*b + 4. Let h be s(n). Solve -3*a + 5*o + 16 = 0, 3*a + h*o + 18 = 8*a for a. 2 Let f(a) = 5*a**2 - 4*a + 2. Let v be f(2). Solve s + s - v = 2*u, -s = 3*u + 1 for s. 5 Let m(g) be the second derivative of -g**3/6 - g**2 - 5*g. Let c be m(-4). Solve 4*l + 2 - 28 = 2*t, -l - c*t = 1 for l. 5 Suppose 0*q - 27 = -9*q. Solve -2*o + 4*l = o - 9, 5*l = -q*o - 18 for o. -1 Suppose -2*l = 3*l - 20. Solve 3*k + f + l*f = 22, -f + 6 = -k for k. -1 Let t be 0/((-6)/(-2) + -5). Suppose a = 2 - t. Solve y = a*b - 3, 5*b = b for y. -3 Let z(x) = 7*x. Let f be z(1). Let u(l) = l**3 - 8*l**2 + 8*l - 2. Let q be u(f). Suppose -q*i + 200 = -0*i. Solve -h - 3*j - 9 = -1, i = 5*h - 5*j for h. 4 Let l(m) = -3*m - 11. Let u be l(-8). Solve 4*q - 37 = -5*k, 3*k + q - 5 = u for k. 5 Suppose 10*y = 27*y - 34. Solve -y*r = 8, 0 = -4*d - r - r for d. 2 Let i be 3/(-18) - -2 - 5/(-30). Solve -i*h - 4*g = -g - 3, 0 = 5*h - 2*g - 17 for h. 3 Suppose 0 = -g - 3*g. Suppose g = -3*n - 2*n + 10. Solve -f + 4*f - n*c = -13, -23 = 4*f + 3*c for f. -5 Let l(o) = -o**3 - 21*o**2 + 19*o - 47. Let y be l(-22). Solve -2*u - 5*s = -y, s = -3*u - 0*s + 9 for u. 2 Suppose 3*f + 36 - 15 = 0. Let w = f - -12. Solve 4*k = -w*z - 28, -4*k = z - k + 10 for z. -4 Let k(p) = -2*p - 7. Let f be k(-5). Let o be 3*f*(-3)/(-9). Suppose -2*i + o*i = 5. Solve -3*a + 12 = i*y, 3*a + 2*a - 2*y = 20 for a. 4 Let l(k) = -k + 4. Let s be l(4). Suppose -61*i + 62*i = 5. Solve s = -5*c + i, 2*c = p + c for p. 1 Suppose 2*p - 8 = -2*p. Let u be (-3)/p*(-20)/(-15). Let s be 5 - (2 + u + 1). Solve -3*c + 1 = 2*j - s*j, -2*j + 4*c = -2 for j. -5 Let t(g) = g + 6. Suppose -3 = 6*p + 21. Let s be t(p). Solve -5*o + 9 = s*k, 3*o - 9 = 2*k + 2*o for k. -3 Let w = -32 + 38. Solve 4*z - 2*c + 0*c + 14 = 0, -z = -3*c + w for z. -3 Let x be 52/10 + 3/(-15). Let h = -34 - -37. Let o(y) = -y**3 + 4*y**2 + 4*y + 4. Let s be o(4). Solve h*j - 7*j = 2*n + 10, x*j = -n - s for j. -5 Suppose -10 = 5*v + 5*y, -4*y = 2*v + 16 - 4. Let n(p) = 26*p - 23*p - 1 + 2*p**2 - 2 - p**3. Let j be n(v). Solve -2*l + 3*g = 3, 4*g - 9 = -j*l + 4*l for l. 3 Suppose -4*s - 5*j + 18 = 0, 4*s - 2*j + j = 6. Solve -3*o + 4*c - 5 = 2, 3*o - 17 = -s*c for o. 3 Let m = 8 + -6. Let d(r) = m*r**2 + 6*r - 4 + 4. Let f be d(-4). Solve l + 4 = 3*l - g, 4*l - 4*g - f = 0 for l. 2 Let t(v) be the first derivative of -v**3/3 - 4*v**2 - 2*v + 1. Let y be t(-7). Solve 2*x - 4*x - 18 = 4*h, 3*h = y*x + 6 for x. -3 Let s be 4/(-10)*(-10)/4. Let x = 1 + s. Solve 0 = -2*h - 2*v + 18, -2*v - 2*v = -x*h - 6 for h. 5 Let t = 3 + -4. Let w be -1*((t - 0) + 1). Let o be (3/(-2))/(-3)*w. Solve -2*f = -o*b + b - 6, -3*b + 2*f - 6 = 0 for b. 0 Let t = 7 - 0. Suppose -4*x + t*x = 15, -q - 2*x + 10 = 0. Solve n = 3, 0*r - 2*r - 5*n + 23 = q for r. 4 Let v(i) = i**2 - 6*i - 2. Let a be v(6). Let p be ((-9)/12)/(a/16). Suppose -2*r = -2 - p. Solve -2*y + 3 - 9 = -2*d, -r*d - 20 = 4*y for y. -4 Let n(j) = j**2 + 6*j + 7. Let p be n(-5). Solve -p*y + 2*u = 8, 4*y = 3*y - 3*u + 12 for y. 0 Let r be 22/8 - 2/(-8). Let s be (-3)/r*-1 - 4. Let g be -1*s/3*5. Solve 4*y + y - 2*k = -14, 4*y + 18 = g*k for y. -2 Let y be 208/10 - 3/(-15). Let u = y - 16. Solve 3*n - 6*n = w - 19, -u*n = -3*w - 13 for n. 5 Let u(s) = s + 2. Let d be u(-7). Let k = d - -7. Suppose -2*q = 5*v + q - 19, v - 3*q + 7 = 0. Solve -v*j + y + 6 = 0, 3*y - 2 = -5*j + k for j. 2 Let v = 34 + -23. Suppose 4*f = -3*s + 27, -3*f + 0*s = -4*s + v. Solve 0 = -d, 6*t = t - f*d - 10 for t. -2 Let t(p) = -p**3 - 17*p**2 + 17*p - 17. Let b be t(-18). Solve 4*q - b = -0*q + r, 0 = q - r - 4 for q. -1 Suppose -2*z = z. Suppose -5*t = d - 14, -7*d + 2*d - 3*t + 26 = z. Solve -11 = -5*v - 3*r, 2*r = -d*v + 4 + 6 for v. 4 Suppose -6*k = -k - 3*y - 15, 12 = 4*k - 2*y. Solve u - 1 = p, 2*u - p = -k*u + 1 for u. 0 Let v = 0 - 1. Let a(x) = 2*x**2 - 2*x - 1. Let u be a(v). Let w be 2/2 + (7 - 4). Solve u*d - w*k + 10 = 0, 0*k - 18 = -3*d - 3*k for d. 2 Suppose -2*l = -7*l. Let t be (l/1)/2*-1. Let k be (-10 + t)*(-40)/25. Solve 19 = z - 0*z - 5*j, 4*j = -k for z. -1 Suppose 4*i + 3*b = 5, -3*i + i + 5*b + 35 = 0. Solve 2*f - 30 = -i*n + 4*f, -f + 11 = 4*n for n. 4 Let d(v) = -v**3 - 4*v**2 + 5*v + 1. Let r be d(-5). Let m be (r + 0)*(21 + -2). Solve 3*s = 4*b - m, -5*b + 11 + 4 = 5*s for s. -1 Suppose 2*r - 8 = 3*r - 2*z, -4*r = -3*z + 27. Let u = r + 10. Suppose 3 = 5*s - 17, 5*k - u*s = 4. Solve -g = -2*v + 3*g - 8, -k*v - 4 = -4*g for v. 2 Let j(c) = -c + 12. Let v be j(9). Solve 3*u + 3*n + 24 = -0*u, 0 = v*n + 12 for u. -4 Let i(w) = -3*w - 16. Let f be i(-7). Solve -f*j + n - 13 = 0, -2*j - 8*n + 11 = -3*n for j. -2 Let s(d) = 4*d**2 + 2*d - 2. Let o be s(-2). Let b = -8 + o. Solve b*a = -2*f - 0*f, -3*f - 2*a + 5 = 0 for f. 5 Let y(u) = -u - 14. Let z be y(0). Let j = 8 + z. Let q(h) = -h - 1. Let m be q(j). Solve -g = m*r - 5*g - 4, 20 = 5*g for r. 4 Let x be (-3 + -1)*(1 - 0). Let g = x - -4. Solve 0 = i - 2*w - 6, g*i - 3*i + w + 8 = 0 for i. 2 Let h = -11 + 13. Suppose -46 = -5*d + 39. Suppose -11 = w - 5*f, -w + f + d = 4*w. Solve c + w*n + 11 + 0 = 0, h*n + 16 = -4*c for c. -3 Let a(z) = -z**3 + 2*z**2 - z + 4. Let v be a(2). Solve 3*p = 5*d + 17, -3 - 3 = v*d - p for d. -1 Suppose 4*d = d. Suppose -3*i + 0*i = d. Let w be 3/(-15) - 122/(-10). Solve b + 3*k - w = i, 0*b - 3*k = 5*b for b. -3 Let n be (2 - -3)*(-3 + 2). Suppose 4 = x - 1. Let g = x + n. Solve -3*c = -4*i - 35, g*i = 3*i + 3*c for i. -5 Let m = 12 - 4. Let a(y) = -5*y. Let t(j) = -4*j. Let o(z) = 5*a(z) - 6*t(z). Let s be o(-5). Solve -m*i - 5*b = -4*i - 13, 0 = 3*i - s*b - 1 for i. 2 Suppose d = 2*d + 13. Let h = 26 + d. Let z = -9 + h. Solve -l + z = 0, -3*m - 7*l + 2*l = -8 for m. -4 Let q(l) = 3*l + 1. Let y be q(1). Let p(c) = 2*c - 8. Let a be p(6). Suppose 0 = -m - m + 8. Solve 12 = y*g + 3*o, a*g + o + 12 = m*o for g. 0 Suppose -8*g = -14*g + 96. Solve -2*r - 2*o + g = 3*r, -4*r = -3*o + 1 for r. 2 Let f = -1 - -1. Let g be (-3)/12*-2*f. Solve -2*p + 3*u = 2, -p + 2*u - 1 = -g*u for p. -1 Let n(w) = w**3 - 8*w**2 + 9*w - 9. Let b be n(7). Solve 3*o + 6 = -4*v - 6, -b*v - 15 = o for v. -3 Let t = 0 + 0. Let a = 2 + 1. Let y = -1 + a. Solve y*r + 5*c = -2*r, -r - 2*c = t for r. 0 Suppose 9 = 3*z - 0*z. Suppose z = 3*t, -5*i + 4*t - 2 = 2. Solve -h = -3*v - 7 - i, -5*v - 3*h = 7 for v. -2 Let c(o) = 5*o**2 - 1. Let i be c(1). Solve -5 = 4*f - 3*p, 2*f - 8 = i*f + 4*p for f. -2 Let l(g) be the second derivative of -7*g**3/6 + g. Let k = 3 + -4. Let q be l(k). Solve t = w + q, 2*w + 11 = 3 for t. 3 Suppose -10 = -3*w - 2*w. Suppose -w*i + 15 = 5. Let s(y) = y**3 - 5*y**2 + 5*y - 4. Let h be s(4). Solve 0 = -3*p + i*l + 23, 3*p + h*l + 1 = -l for p. 1 Suppose 2*d + 4 = 3*d. Solve 0 = -4*k - d*z + 8, 0*k - z + 14 = 4*k for k. 4 Let n(p) = p**2 - 4*p - 10. Let k be n(6). Solve 3*u - 2*o + 3 = 0, -3*o + k = -5*u - 2 for u. 1 Let y(m) = -m**3 + 2*m + 1. Let j be y(-1). Suppose -g + 8*h - 3*h + 12 = j, -2 = -4*g - 3*h. Solve g = 5*p + 4*b + 1, 4*p - 5*b - 9 = 0 for p. 1 Suppose -4*t + 5*k + 36 = 0, 6*t = 4*t + 3*k + 20. Solve -6*b + t*b = -4, 5*s + 24 = 2*b for s. -4 Let i be (-4)/(-10) - 4/10. Let x be i*(-1)/(-3)*1. Solve 0 = -5*o + 2*c + 26, x*c + 13 = o - 3*c for o. 4 Let f be ((4 + -4)/2)/(-2). Solve f*a + 28 = -4*a + 4*b, 4*b - 13 = a for a. -5 Let l(p) = p**2 + 3*p + 6. Let j be
{ "pile_set_name": "DM Mathematics" }
+ (0*m + 0*m - m)*(1 - 3 + 0) in the form i*m + q and give i. 21 Express -1857206*v**2 - 3*v**4 - 4*v**3 + 5 + 1857202*v**2 - 5*v**3 as q*v + c + p*v**3 + t*v**4 + l*v**2 and give t. -3 Express 18*s - 918 - 21*s + s - 1067 + 631 in the form y + t*s and give t. -2 Rearrange (-125 + 126 - 253 - 147 - 197)*(-2 + 3 - 2)*(6*w + 20*w - 18*w) to the form s*w + a and give s. 4768 Express 12037*p**3 - 11632*p**3 - 2*p**2 + 4*p**2 as d*p + m*p**3 + x + v*p**2 and give d. 0 Rearrange 11*k - 13*k + 6*k + 2 + 0*k + 14*k + 8*k + 1 - 2*k - 1 + 4*k + 3*k - 5*k + (-2 - 2 + 3)*(3*k - k - 3*k) - 3 + 3 - 2*k to b*k + i and give i. 2 Express 288 + 13 - 11*g**2 + 0*g**2 - 2*g**4 + 17*g**2 - 3*g**2 as t*g + k*g**4 + a*g**3 + v + d*g**2 and give v. 301 Express 1740*p**4 + 6*p**3 + 5 - 3482*p**4 - 3*p**3 + 1740*p**4 - 12*p in the form n*p**2 + l + w*p**4 + d*p + k*p**3 and give k. 3 Express 3*v**3 - 59*v + 32*v + 2*v**4 + 28*v + 105 as x*v + a*v**4 + i*v**2 + c + q*v**3 and give a. 2 Rearrange -3673*b + 2482*b - 2233*b to the form t*b + y and give t. -3424 Express 24 + 33 + 1015*p**2 + 4998*p**2 - 57 in the form o*p**2 + j*p + s and give o. 6013 Express -1 - 6862*b**2 + 1 + 10304*b**2 as n*b**2 + c + i*b and give n. 3442 Express 3326*k + 72352 - 1250*k - 72352 as d + g*k and give g. 2076 Rearrange -7684*h + 2879*h + 3054*h + 2 - 2*h**2 to the form d*h**2 + v + i*h and give i. -1751 Rearrange -280*t**2 - 7 + 31 + 7 + 189*t**2 to the form k*t + r*t**2 + x and give x. 31 Express 185*j**2 - 378*j**2 + 1155*j**3 + 207*j**2 + 2*j - 1408*j**3 in the form i*j**3 + v*j**2 + u + x*j and give i. -253 Rearrange (-74*c**3 + 33*c**3 + 9*c**3)*(1 + 3 + 4)*(c - 2*c - c) to the form q*c**2 + i*c**3 + y + u*c + d*c**4 and give d. 512 Rearrange 141*d**2 - 1876*d**2 - 11 + 692*d**2 to the form o*d**2 + a + m*d and give o. -1043 Rearrange -2 + 10 - 1351*i**3 + 1 + 1412*i**3 to the form r*i + u*i**3 + v*i**2 + g and give r. 0 Rearrange (66 - 66 + 34*h)*(2*h**3 + 3*h**3 - 3*h**3) + (3*h - 4*h + 0*h)*(22*h**3 + 17*h**3 + 19*h**3) to s*h**2 + q + m*h + v*h**4 + y*h**3 and give v. 10 Express (-3 + 5 - 4)*(-3*x**3 + 3*x**3 - x**3) + (16*x**2 + 33*x**2 - 30*x**2)*(7*x + 9*x - 14*x) as h*x**2 + b*x**3 + u + l*x and give b. 40 Express -7 - 30 - 35*w**3 + 27 + 183*w**3 - 22 as o*w**2 + g + k*w**3 + x*w and give k. 148 Express 2*g**2 - g**2 + g**2 + 2281*g**2 - 4668*g**2 + 2092*g**2 + (-3 + 3 + g)*(5*g + 0*g - 4*g) + 2*g**2 - 3*g + 3*g in the form t + x*g**2 + z*g and give x. -290 Rearrange 2*w**4 + 1862*w**3 + 1100*w**3 - 3*w**4 - 1 - 1 - 773*w**3 to the form h*w**4 + t*w + i*w**3 + r + g*w**2 and give i. 2189 Express 363 - 3*g - 181 - 178 + 692*g**2 - 673*g**2 as o*g + v + w*g**2 and give v. 4 Express (-440 - 272 - 352)*(2 + 1 + 0)*(0 - f**2 + 3*f**2 - 1) as c + w*f**2 + d*f and give c. 3192 Express 105*q + 121*q + 2649336 - 2649343 as j*q + r and give j. 226 Rearrange 12*d - 10 - 16*d - 48*d + 4*d to the form c + p*d and give p. -48 Express (1 - 2 - 2)*(6 - 6 + f) + (54 - 54 - 102*f)*(-14 + 3 + 8) as q + j*f and give j. 303 Express (r - r - r**2)*(4943 - 9942 + 52*r + 4925) in the form u*r + i + g*r**2 + s*r**3 and give g. 74 Express 1857*i**3 - 285*i**3 + 1457*i**3 - 248*i**3 + 469*i**3 + i**2 in the form d*i**2 + r*i + z*i**3 + t and give d. 1 Rearrange (3*v**2 - 7*v + 17*v + 14*v)*(-1 - 11 + 0) to n + o*v**2 + k*v and give o. -36 Express 1237*z + 1899*z + 6324*z in the form x*z + y and give x. 9460 Express 1436*b**2 - 1996*b**2 + 564*b**2 + 438*b as u*b + g*b**2 + o and give g. 4 Rearrange -30*s**3 + 0*s + 4064 - 18*s**2 - 2032 - 2030 + 0*s to x*s**2 + z*s**3 + u*s + b and give b. 2 Rearrange -103*r**2 - r**2 - 356*r**2 - 956*r**2 to f + g*r + o*r**2 and give o. -1416 Rearrange 69*c**3 - 253 + 238 + 1007*c**3 to the form n*c**3 + v*c + u*c**2 + z and give n. 1076 Rearrange (-3 + 3 - 1)*(-54*z**2 + 97*z**2 - 177*z**2)*(29*z + 54*z - 10*z) to the form r + q*z**2 + c*z + s*z**3 and give s. 9782 Rearrange 204*z - 38 - 38 - 43 + 120 to the form w*z + k and give k. 1 Rearrange 3*a**4 + 2483*a + 2469*a + 7*a**3 - 4997*a to h*a + p*a**2 + y*a**4 + k*a**3 + i and give y. 3 Express (2*g**2 + 3*g**2 - 4*g**2)*(4 - 1 - 1)*(-554 - 414 + 635) + 6*g**2 - 2*g**2 + 0*g**2 as b*g**2 + m + d*g and give b. -662 Express (193*h - 475*h - 544*h)*(-4 + 2 + 1)*(13*h - 21 + 21) in the form d + q*h + b*h**2 and give b. 10738 Rearrange -29*a + 2*a**2 + 2*a**3 + 49*a + 3 + 2*a - 37*a to the form k*a**3 + q*a + d + m*a**2 and give k. 2 Express -62*r - 17*r - 29*r - 66*r - 264*r + r + 3 - 3 + (-1 + 3 - 4)*(2*r - 6*r + 2*r) as u*r + c and give c. 0 Express 3831*k + 57 - 3831*k + 7350*k**2 - 54 in the form t*k + x*k**2 + g and give g. 3 Express -56983776*l + 56989690*l - 2*l**2 + l**2 in the form d*l + u + b*l**2 and give b. -1 Rearrange -1309 - 879*d + 2602 - 2*d**3 - 1298 to x + a*d + c*d**3 + g*d**2 and give c. -2 Rearrange (-2*m**4 + 5*m**4 - 2*m**4)*(-20919 - 21499 - 57379 - 5954 - 25161) to i*m**3 + k*m + f + r*m**4 + v*m**2 and give r. -130912 Rearrange -d**3 + d**3 - 3*d**3 + (-1 + 2 - 4)*(-27*d**3 + 9*d**3 - 13*d**3) + 7 - 7 + 2*d**3 to the form r*d**2 + j*d + h + p*d**3 and give p. 92 Express 5*c**4 - 1951*c - 3*c**3 - 18*c**4 + 1953*c - 11 as z*c**2 + i + d*c**4 + h*c**3 + r*c and give z. 0 Express -107*r**2 - 3 - 126*r**2 + 3 + 220*r**2 as t*r**2 + q*r + h and give t. -13 Express ((-1 + 0 + 0)*(-2*f + 3*f + 5 - 44) + (f - f - 3*f)*(14 - 12 + 32))*(0 - 1 + 3) in the form g*f + h and give g. -206 Express 26*z**3 - 3822*z**2 - 107*z**3 + 26*z**3 - 4103*z**2 + 1 + 57*z**3 as p*z**2 + f + q*z**3 + g*z and give q. 2 Rearrange (-8 + 7 - 3)*(-707*p - 283*p - 897*p) to the form c*p + b and give c. 7548 Rearrange (-38 - 99 + 154 - 12*y**2)*(1 + 1 - 3) + (4*y + y - 2*y)*(-3*y + 0*y + 11*y) to v + s*y**2 + o*y and give s. 36 Express -1813832 + 4*u + 1813823 - 25*u in the form d + c*u and give c. -21 Express 3 - 830*i**2 + 829*i**2 - 33*i + 66*i in the form v + g*i + x*i**2 and give g. 33 Rearrange -37 + 2*i**3 - 13 + 526*i - 526*i - 130 to the form l*i + a*i**3 + f*i**2 + z and give z. -180 Express -5376*f + 15768 - 7682*f - 15768 as q*f + b and give q. -13058 Rearrange (1 - 2*l - 1)*(1 - 5 + 2) + 2519*l - 154715 + 154715 to the form z*l + h and give z. 2523 Rearrange (7*d - 3*d - 2*d)*(167 - 37 - 846*d - 127)*(-1 + 1 - 2) to the form c + m*d**2 + l*d and give m. 3384 Rearrange -11*s**2 + 14*s**3 - s**2 - 12*s**3 - 12809 + 12574 to the form v*s + j + r*s**2 + o*s**3 and give o. 2 Rearrange 80 + 31 - 21 + 8*c**2 + 105 - 14 to the form h*c**2 + p + f*c and give h. 8 Rearrange 0*t + 0*t + 2*t + (1 + 0 + 1)*(1 - 7 - 14)*((-2 + 4 - 1)*(-3*t - 12 + 12) + 3 - 3 - t) to o + b*t and give b. 162 Express (166*t - 340*t - 230*t)*(3 + 1 - 5)*(1 + 7 - 4)*(0 + 6 - 2) as b + n*t and give n. 6464 Express -1 + 210*c - 430*c - c**2 + 201*c - 21*c**2 in the form b*c**2 + o*c + i and give b. -22 Express 51*s + 76 - 2*s**2 - 115*s + 50*s - 584 + 16*s as y*s**2 + q*s + j and give j. -508 Rearrange -1537*n - 1328*n - 201*n to j*n + w and give j. -3066 Rearrange -18043*y**2 - 2 - 3818*y + 1899*y + 1919*y to u + b*y**2 + p*y and give p. 0 Rearrange (26 + 0 + 10 + (-1 + 0 - 1)*(-5 + 0 + 4))*(-4*d - 4*d + 5*d) to the form j + x*d and give x. -114 Express -i**2 - 3*i**2 + 7 - 6 + (1 - 2 + 0)*(-i**2 + i**2 - i**2) - 3*i**2 + 0*i**2 + i**2 - 6*i**2 + 32*i**2 - 19*i**2 as h*i + c + q*i**2 and give h. 0 Rearrange 69 + b - 63 - 10 - 45*b**2 to the form v*b + k*b**2 + n and give n. -4 Rearrange -9*v + 20*v - 49 + 429 - 23*v + 13*v to f + a*v and give f. 380 Rearrange (54667*c**3 - 2763*c**3 + 7142*c**3 + 108196*c**3 + 20313*c**3)*(3 + 3*c - c - 1) to the form d + a*c**4 + n*c**2 + q*c**3 + k*c and give q. 375110 Rearrange -60 - 21*h**2 - 2*h**3 + 120 + 7*h**2 - 25*h**4 + 12*h**2 - 64 - 2*h to n*h**3 + u*h**4 + w*h**2 + f + z*h and give z. -2 Rearrange 574*u**3 - 74*u**2 + 9 - 10 + 32*u**2 + 42*u**2 to the form b*u**3 + o*u**2 + j*u + t and give b. 574 Rearrange 1797*m**2 + 2*m + 7*m + 1 - 140*m + 131*m to u + t*m + f*m**2 and give f. 1797 Rearrange (-8 - 7 - 5*a + 8*a)*((4*a - 2*a - 9*a)*(3*a + 3 - 3) + (3*a - 2*a - 3*a)*(3*a + 0*a - a)) to v*a**2 + o + t*a**3 + u*a and give t. -75 Rearrange -15*a**3 - 147*a - 23*a**3 - 20*a**3 + 136*a to the form f*a**3
{ "pile_set_name": "DM Mathematics" }
c, 43, -4, 2 in increasing order. -4, 2, c, 43 Let x(t) be the third derivative of t**6/120 + 7*t**5/60 - t**4/4 - 19*t**3/3 - 8*t**2. Let q be x(-7). Sort q, -32, -5. -32, -5, q Let n = -723 - -726. Sort n, -8.7, 2/3, 2 in decreasing order. n, 2, 2/3, -8.7 Suppose 1016*q + 20 = 1026*q. Put q, -4, 4, -96 in decreasing order. 4, q, -4, -96 Let r = 1202 + -1197. Sort 0.1, 124, r, -4 in decreasing order. 124, r, 0.1, -4 Let o = -5 + 3. Let s = -1.33 - -3.33. Let m = s + o. Sort -0.5, -2/3, m in decreasing order. m, -0.5, -2/3 Let t = -1339.068 - -1338. Put -1, t, 0.3, 5/3 in ascending order. t, -1, 0.3, 5/3 Suppose 3*z - 9*i + 13*i = -2, -5*i - 8 = z. Sort z, -2, -1, 128. -2, -1, z, 128 Let v = 4 - 1. Suppose 0 = -83*b + 84*b + 2. Sort -5, b, v, -1. -5, b, -1, v Let z(c) = 2*c - 6. Let k be z(4). Let v = 5614 + -5617. Put k, v, -1 in decreasing order. k, -1, v Let o = -27 - -27.1. Let a = 2.8153 - -0.0547. Let q = 0.13 + a. Sort 2, o, q in ascending order. o, 2, q Suppose -2*r - 11*r + 52 = 0. Suppose -40 = 5*k - w - r*w, -3 = -w. Put -4, k, 5 in descending order. 5, -4, k Let h be (0 + 8/(-24))*(-63 - 3). Sort h, 3/4, -1, -2 in descending order. h, 3/4, -1, -2 Suppose -4*o - 8 = -4*z, -o - o = 3*z - 21. Let b = -39 - -40. Let x be (-10)/(-35) + 165/35. Put x, o, b in decreasing order. x, o, b Let d(n) = -n**3 + 4*n**2 - n - 4. Let m be d(3). Let b = -51 + 59. Suppose 4*t = -4, -4 - b = -m*a + 2*t. Sort -1, a, 2 in decreasing order. a, 2, -1 Let m = 35 + -34. Let f be m + 3 + 0 - -3. Suppose 2*b + 2*n = -14 + 4, 4*b = -5*n - 20. Sort b, f, 5 in decreasing order. f, 5, b Suppose 3*p = -2*l + 1, p = -4*p - 3*l + 2. Suppose 8*d + p - 33 = 0. Put 0, 3, -2, d in descending order. d, 3, 0, -2 Suppose 0 = 4*y - 2*r + 2, 3*y + 6 = -r - 8. Let m = 11 + -3. Suppose -4*d = 19 + 1, 4*d + m = -3*u. Sort u, y, 0. y, 0, u Let r be -517 + 0*8/(-40). Let w = 815863 + -15511222/19. Let s = r - w. Sort s, -4, -2/11 in increasing order. -4, -2/11, s Let b = -4.28 - -3.78. Let w = 0.43 + -0.03. Sort 0.5, -1/6, w, b in increasing order. b, -1/6, w, 0.5 Let n = 4 + -3. Let b = 495 + -302. Let s = b - 3669/19. Put n, s, 0.5 in increasing order. s, 0.5, n Let h = -210 + 209. Sort h, 0.1, -2/3, -2 in descending order. 0.1, -2/3, h, -2 Let t(c) = -10*c - 5. Let w be t(0). Sort 2, w, 5, 10. w, 2, 5, 10 Let f = -234 - -230. Suppose -3*g = -0*g. Sort g, f, 5 in ascending order. f, g, 5 Let f(x) = -x**3 - 6*x**2 - x + 3. Let j be f(-6). Suppose 3*k + 3 = j. Sort k, -8, -1. -8, -1, k Suppose -6*c + 82 = -14. Let p = 13 - c. Put -2, p, -1, 7 in increasing order. p, -2, -1, 7 Let o = -528 - -532. Put o, 0.4, 6/5, 0.5 in descending order. o, 6/5, 0.5, 0.4 Let i = 0.053 + -41.053. Let b = -44 - i. Let m = 7 + 0. Put m, b, -0.4 in increasing order. b, -0.4, m Let z be (-28)/(-84) - (44/(-12) - 1). Suppose 5*s - t + 10 = -3, 0 = 5*s + t + 7. Put s, -5, z, -4 in descending order. z, s, -4, -5 Suppose 118*s = 150*s - 96. Sort -13, s, -1, 4. -13, -1, s, 4 Let d be (-188)/14 + 15/35. Sort -2/9, 2, d in decreasing order. 2, -2/9, d Suppose 2*d - 190 = -5*x - 3*d, -d + 3 = 0. Put 1, -5, x in decreasing order. x, 1, -5 Let z(q) = -q**2 + 28*q + 30. Let a be z(25). Put -4, -2, a in increasing order. -4, -2, a Let r = 4.9 + -2.3. Let a = r - -0.4. Let v = -0.6 - -0.2. Sort v, -5, a. -5, v, a Let t = 26 - -1. Suppose c + t = 9. Let l be 4/c - (-8)/(-126). Sort 2/13, -1/5, l in increasing order. l, -1/5, 2/13 Let x = -0.3 - -0.2. Let j = -0.0156 + -0.9844. Put x, j, 0 in decreasing order. 0, x, j Suppose -1 + 10 = q + 3*k, 4*q = k + 36. Sort -2, q, -1/3 in decreasing order. q, -1/3, -2 Let v = 201789/23465 + 2/4693. Sort v, 0, 3 in ascending order. 0, 3, v Let d = 30.77 + 1.43. Let i = -32 + d. Put 3, 1, i in decreasing order. 3, 1, i Let i(x) = 2*x - 32. Let v be i(17). Let q be (-3 - (-2 + v))*-6. Suppose -q = 5*r + 12. Put r, -1, 0 in increasing order. r, -1, 0 Let u = 0.284 + 2.116. Let b = -32 - -34.1. Let p = u - b. Sort 0.5, -3, p in ascending order. -3, p, 0.5 Let i = 4 - -2. Suppose -t + s + i + 0 = 0, 2*s + 8 = 0. Let j be (-36)/9 - 2*-2. Put t, -2, j in increasing order. -2, j, t Let x = -103 + 106. Let n = 2 - 2. Let q = -1 + n. Put 4, q, x in descending order. 4, x, q Suppose -13*z + 348 - 400 = 0. Sort 1, 13, -1, z in descending order. 13, 1, -1, z Let m be (-2)/(-5 - 27/(-6)). Suppose 17 + 20 = 4*b + 3*u, m*u + 4 = 0. Put 4, -1, b in increasing order. -1, 4, b Let p be (-6)/2*4/42. Let s = 0.104 - -70.896. Let d = -71.2 + s. Sort d, 0.2, p in ascending order. p, d, 0.2 Let i = -1 - -0.8. Let d = -647 - -1295/2. Sort 2, i, -2/13, d. i, -2/13, d, 2 Let b = -896 + 891. Put b, -36, -3, -1 in decreasing order. -1, -3, b, -36 Let q = 19 + -13. Let y(j) = j - 4. Let r be y(q). Suppose -2*x + 2 = -5*f - 12, -3*f = 2*x + 2. Sort r, f, -5 in decreasing order. r, f, -5 Let r be 2/(1/48*4). Let f be ((-1)/r)/((-14)/1540). Let c = -17/4 + f. Sort 0.2, c, 0.3. 0.2, 0.3, c Let n(o) = -o + 3. Let d be n(6). Let a = 7 + d. Let u = 80 + -77. Put a, u, 1 in descending order. a, u, 1 Suppose 4*y = 4*v + 12, 0 = -v + 2*y + y - 7. Let c = 8/9 + v. Let s = -1.31 + 5.31. Put s, 0.4, c in ascending order. c, 0.4, s Let m(j) = j**2 + 6*j + 10. Let k = -7 + 2. Let g be m(k). Let i = g + -5. Sort i, 1, -3. -3, i, 1 Let a = -1012 + 1018. Sort 4, 5, a in decreasing order. a, 5, 4 Let c(l) = 25*l - 127. Let b be c(5). Suppose 0 = -2*z - 2*z - 64. Sort z, b, -3. z, -3, b Suppose -5*k = f + 12, 0*f = 2*f - 4*k - 4. Put 6, 1, f in descending order. 6, 1, f Let d(f) = -4*f - 2. Let j be d(-2). Suppose -j + 2 = m. Suppose 8*z - 6*z + 3*n - 8 = 0, 3*z + 10 = n. Put -1, m, z in increasing order. m, z, -1 Let m = 27.31 + -27. Let j = m - 0.21. Let o = -5.1 + j. Put -0.1, -2, o in decreasing order. -0.1, -2, o Let s(w) = w**2 - 3*w - 19. Let b be s(6). Let k be b/(-2)*0/(-12). Sort 4, 6, k, -2 in descending order. 6, 4, k, -2 Let u = -603 - -604. Put u, -64, 0.3 in decreasing order. u, 0.3, -64 Suppose -6*c - t = -7*c + 9, 4*c - 39 = t. Sort c, 1, 4 in ascending order. 1, 4, c Let m = -1087 - -1087. Sort 3, -91, -5, m in increasing order. -91, -5, m, 3 Suppose 3*d + 8 + 61 = 4*i, -5*d + 2*i = 101. Let l be (-2)/(-2)*(d - 0). Let y = l - -16. Sort -1, 1, y in descending order. 1, -1, y Let h = -3302 + 2965. Put h, 0.1, 3 in ascending order. h, 0.1, 3 Let m = 128291535 - 16293297739/127. Let t = m + 2148. Sort 3, t, 2 in descending order. 3, 2, t Let f = -1193 - -1192.5. Put 0.2, -4, 1, f in increasing order. -4, f, 0.2, 1 Suppose 2 = 4*c - 3*v, 0 = 2*c - 0*v + 2*v - 8. Suppose -1 = -c*w + 4*p + 11, -2*p - 4 = 0. Sort 4, w, -4 in ascending order. -4, w, 4 Let y = 0.375 + 36.025. Let u = y - 36. Put -0.4, u, -13/3 in decreasing order. u, -0.4, -13/3 Let i be -3*(-6)/(-54)*1*3. Put i, -3, 80 in descending order. 80, i, -3 Let p(d) = d**3 - 3*d**2 - 15*d - 3. Let c be p(0). Let j = -3 + 1. Put j, 0, c, 3/5 in increasing order. c, j, 0, 3/5 Let n(q) = q + 4. Let m be n(-2). Let r be (4/6)/((-14)/(-63)) + -6. Sort r, m, -1 in descending order. m, -1, r Let s = 0.06 - -0.14. Put s, 2, -16 in decreasing order. 2, s, -16 Let g(o) = 5*o**2 + 86*o - 31. Let z be g(-19). Sort -5, -0.3, z in descending order. z, -0.3, -5 Let f(b) = b - 3. Let j be (-2)/(-6) + 28/6. Let c be f(j). Suppose t + 9 = -c*t. Sort 0, 2, t in descending order. 2, 0, t Suppose 0 = -5*d + 3*p - 40, -3*d + 5*p - 13 = 27. Let g(x) = x**2 - 4*x + 1. Let u be g(2). Let m = -2 - u. Put 0.4, m, d in ascending order. d, 0.4, m Suppose 2*t - 100 = 27*t. Put -5, -9, t, 0 in descending order. 0, t, -5, -9 Let n(x) = 3*x**3 + 12*x**2 + x + 3. Let b be n(-4). Sort -22, 0, b. -22, b, 0 Let j be 1 - (0 + -2 - -5). Let v be (2 - j/4)*2. Let y be 455/(-175) - (-3)/5. Sort -1, v, y in descending order. v, -1, y Let f = 133 + -126. Sort f, 3, -12. -12, 3, f Let n(y) = -10*y + 6. Let x be n(3). Let r = x + 73/3. Put -0.2, -12, r in decreasing order. r, -0.2, -12 Let z = -0.1 - 1.9. Let d = -13 + z. Let g = 15.4 + d. Sort g, -2/5, -3 in increasing order. -3, -2/5, g Suppose 2*u = 6*u + 24. Let h be -3 - -1 - u/(-3). Let l be -18 - -19 - (-3 + (5 - 7)). Sort -1, l, h in decreasing order. l, -1, h Let r = -147 - 93. Let x = r - -269.8. Let b = x + -30. Sort 0.1, b, 1.1 in inc
{ "pile_set_name": "DM Mathematics" }
at is 3608 to the power of 1/2, to the nearest integer? 60 What is the square root of 22771 to the nearest integer? 151 What is 7918 to the power of 1/9, to the nearest integer? 3 What is the third root of 1355 to the nearest integer? 11 What is the third root of 43896 to the nearest integer? 35 What is the third root of 10664 to the nearest integer? 22 What is 123 to the power of 1/2, to the nearest integer? 11 What is 830 to the power of 1/8, to the nearest integer? 2 What is the cube root of 22039 to the nearest integer? 28 What is 3255 to the power of 1/6, to the nearest integer? 4 What is the square root of 56854 to the nearest integer? 238 What is the ninth root of 4602 to the nearest integer? 3 What is the third root of 4002 to the nearest integer? 16 What is the fourth root of 914 to the nearest integer? 5 What is 45233 to the power of 1/6, to the nearest integer? 6 What is the third root of 62462 to the nearest integer? 40 What is the square root of 722 to the nearest integer? 27 What is 50862 to the power of 1/10, to the nearest integer? 3 What is the cube root of 33175 to the nearest integer? 32 What is the sixth root of 6402 to the nearest integer? 4 What is the third root of 3142 to the nearest integer? 15 What is the square root of 27953 to the nearest integer? 167 What is the square root of 22381 to the nearest integer? 150 What is the third root of 8395 to the nearest integer? 20 What is 3069 to the power of 1/8, to the nearest integer? 3 What is the third root of 20878 to the nearest integer? 28 What is 6112 to the power of 1/6, to the nearest integer? 4 What is 40624 to the power of 1/5, to the nearest integer? 8 What is the third root of 138 to the nearest integer? 5 What is the square root of 30759 to the nearest integer? 175 What is 21386 to the power of 1/6, to the nearest integer? 5 What is the third root of 25255 to the nearest integer? 29 What is 20548 to the power of 1/3, to the nearest integer? 27 What is the square root of 74573 to the nearest integer? 273 What is the cube root of 11878 to the nearest integer? 23 What is the fourth root of 2895 to the nearest integer? 7 What is the square root of 826 to the nearest integer? 29 What is the cube root of 32814 to the nearest integer? 32 What is 3224 to the power of 1/5, to the nearest integer? 5 What is 3642 to the power of 1/8, to the nearest integer? 3 What is 45647 to the power of 1/4, to the nearest integer? 15 What is the fifth root of 8034 to the nearest integer? 6 What is 5216 to the power of 1/2, to the nearest integer? 72 What is the cube root of 1038 to the nearest integer? 10 What is 928 to the power of 1/10, to the nearest integer? 2 What is the third root of 2756 to the nearest integer? 14 What is 141 to the power of 1/2, to the nearest integer? 12 What is 797 to the power of 1/3, to the nearest integer? 9 What is the square root of 177 to the nearest integer? 13 What is 54791 to the power of 1/4, to the nearest integer? 15 What is the third root of 35575 to the nearest integer? 33 What is 143507 to the power of 1/3, to the nearest integer? 52 What is 50604 to the power of 1/9, to the nearest integer? 3 What is 17249 to the power of 1/3, to the nearest integer? 26 What is 11518 to the power of 1/2, to the nearest integer? 107 What is the cube root of 1180 to the nearest integer? 11 What is 3064 to the power of 1/3, to the nearest integer? 15 What is 3913 to the power of 1/2, to the nearest integer? 63 What is the sixth root of 4975 to the nearest integer? 4 What is 456 to the power of 1/2, to the nearest integer? 21 What is 345 to the power of 1/9, to the nearest integer? 2 What is 61120 to the power of 1/3, to the nearest integer? 39 What is the square root of 23551 to the nearest integer? 153 What is 61305 to the power of 1/3, to the nearest integer? 39 What is 42448 to the power of 1/2, to the nearest integer? 206 What is the square root of 5372 to the nearest integer? 73 What is the square root of 103161 to the nearest integer? 321 What is the cube root of 599 to the nearest integer? 8 What is the sixth root of 367 to the nearest integer? 3 What is the eighth root of 991 to the nearest integer? 2 What is 34102 to the power of 1/2, to the nearest integer? 185 What is the square root of 29080 to the nearest integer? 171 What is 2483 to the power of 1/9, to the nearest integer? 2 What is 2578 to the power of 1/2, to the nearest integer? 51 What is the sixth root of 25674 to the nearest integer? 5 What is 914 to the power of 1/2, to the nearest integer? 30 What is the cube root of 41292 to the nearest integer? 35 What is 3409 to the power of 1/4, to the nearest integer? 8 What is the third root of 142209 to the nearest integer? 52 What is the third root of 1266 to the nearest integer? 11 What is 21615 to the power of 1/3, to the nearest integer? 28 What is the square root of 894 to the nearest integer? 30 What is the eighth root of 72587 to the nearest integer? 4 What is 1218 to the power of 1/3, to the nearest integer? 11 What is the eighth root of 33056 to the nearest integer? 4 What is the eighth root of 78027 to the nearest integer? 4 What is the seventh root of 1438 to the nearest integer? 3 What is 631 to the power of 1/3, to the nearest integer? 9 What is the cube root of 882 to the nearest integer? 10 What is the sixth root of 4828 to the nearest integer? 4 What is 2005 to the power of 1/2, to the nearest integer? 45 What is the cube root of 29866 to the nearest integer? 31 What is the square root of 876 to the nearest integer? 30 What is 42738 to the power of 1/2, to the nearest integer? 207 What is 1637 to the power of 1/3, to the nearest integer? 12 What is the cube root of 455 to the nearest integer? 8 What is 68385 to the power of 1/9, to the nearest integer? 3 What is the square root of 3757 to the nearest integer? 61 What is the square root of 2825 to the nearest integer? 53 What is 117034 to the power of 1/8, to the nearest integer? 4 What is 733 to the power of 1/7, to the nearest integer? 3 What is 5362 to the power of 1/4, to the nearest integer? 9 What is 204 to the power of 1/2, to the nearest integer? 14 What is the fourth root of 3514 to the nearest integer? 8 What is 79 to the power of 1/10, to the nearest integer? 2 What is the square root of 2351 to the nearest integer? 48 What is the tenth root of 37446 to the nearest integer? 3 What is 1263 to the power of 1/7, to the nearest integer? 3 What is the ninth root of 2083 to the nearest integer? 2 What is the square root of 51880 to the nearest integer? 228 What is 18964 to the power of 1/3, to the nearest integer? 27 What is the eighth root of 3544 to the nearest integer? 3 What is the square root of 19680 to the nearest integer? 140 What is 9253 to the power of 1/3, to the nearest integer? 21 What is the square root of 53932 to the nearest integer? 232 What is 3080 to the power of 1/3, to the nearest integer? 15 What is the fifth root of 53312 to the nearest integer? 9 What is the square root of 1422 to the nearest integer? 38 What is the square root of 42940 to the nearest integer? 207 What is the square root of 18178 to the nearest integer? 135 What is the square root of 19082 to the nearest integer? 138 What is the third root of 4957 to the nearest integer? 17 What is 7423 to the power of 1/5, to the nearest integer? 6 What is 368 to the power of 1/2, to the nearest integer? 19 What is the third root of 781 to the nearest integer? 9 What is 48886 to the power of 1/8, to the nearest integer? 4 What is the cube root of 621 to the nearest integer? 9 What is the ninth root of 975 to the nearest integer? 2 What is 1347 to the power of 1/2, to the nearest integer? 37 What is the cube root of 20961 to the nearest integer? 28 What is the third root of 1528 to the nearest integer? 12 What is the fifth root of 41671 to the nearest integer? 8 What is 1806 to the power of 1/5, to the nearest integer? 4 What is the seventh root of 1473 to the nearest integer? 3 What is 9479 to the power of 1/3, to the nearest integer? 21 What is the square root of 10570 to the nearest integer? 103 What is the fifth root of 37306 to the nearest integer? 8 What is the seventh root of 48355 to the nearest
{ "pile_set_name": "DM Mathematics" }
- 488 = -m. Does 46 divide a? False Let a = 110 - 316. Let p = a + 267. Does 16 divide p? False Suppose 67*r = 73*r. Is 9 a factor of 2066/6 - r - 375/(-225)? False Let g(k) = 6*k**3 - 13*k**2 - 42*k + 127. Does 7 divide g(8)? False Let h = -5254 + 12540. Does 20 divide h? False Is -24 - (-479)/1 - 7 a multiple of 32? True Let x(c) = -c**2 - 2*c - 12 + 48 - 21 - 10*c. Let u be x(-13). Suppose 5*l = -5*n + 520, 2*l - 4*n = -u*l + 424. Does 15 divide l? True Let q be (6*1/(-4))/(1/(-74)). Let s be 2/(24/q) - 5/20. Suppose -s*w + 465 = 6*w. Does 31 divide w? True Let h(t) be the third derivative of t**6/120 + 11*t**5/60 + 3*t**4/4 + 4*t**3/3 - 4*t**2 - 1. Is 13 a factor of h(-7)? True Suppose 14198 = 32*a - 7402. Does 35 divide a? False Let n = 394 + -353. Suppose -7*u = -4*u + s - 143, -u = -s - n. Does 2 divide u? True Let q(m) = 39*m**2 - 16*m - 50. Let t be q(-4). Let u = 1136 - t. Is 83 a factor of u? True Let w(z) = -11*z - 7. Let p(r) = r**3 - 17*r**2 - 19*r + 1. Let b be p(18). Let i(k) = 34*k + 22. Let y(t) = b*w(t) - 6*i(t). Is 12 a factor of y(-5)? True Suppose -274*w + 180 = -269*w. Suppose 2*h = -2*h + 360. Let o = h + w. Is o a multiple of 21? True Let m = 12561 + -10768. Is 51 a factor of m? False Suppose -5*f + 38 = 18, 3*f - 2187 = -3*n. Does 22 divide n? False Let j = -30831 + 57725. Is 17 a factor of j? True Let v be 6*((-4)/24*-20)/2. Suppose 386 = v*g + 56. Is g a multiple of 3? True Suppose 6*u + 9 = 3*u. Let m be 2/u - (-1552)/6. Suppose 4*a - 114 = m. Is a a multiple of 21? False Let a = -154 + 276. Suppose 770 = -9*p + a. Let z = -6 - p. Is z a multiple of 11? True Suppose -26*g - 839025 = -79*g - 60*g. Does 45 divide g? True Let a(f) = -21*f - 87. Let t be a(-11). Suppose s + 5*q - 64 = 0, -2*s - 3*q = s - t. Is s a multiple of 18? False Suppose 3*d - 70*d + 122878 = 0. Is 12 a factor of d? False Let y = 77 + 469. Suppose -11*u + y - 128 = 0. Is u a multiple of 19? True Let s(r) = 3*r - 13. Let z be s(3). Let w be 3/z - (-86)/8. Is 7 a factor of (22/(-55) - 276/w)*-1? True Let o = -19 - -19. Is 29 a factor of 2/(6/783)*(o + 1)? True Let i be 3*(39/(-9) + 1). Let l(n) be the third derivative of n**5/60 + 5*n**4/12 + 19*n**3/6 + 367*n**2. Is l(i) a multiple of 19? True Suppose -7*k + 5*k = -5*f - 2341, 3*k + f = 3503. Suppose 0 = -4*a - 4*p + 28, 5*p - 13 = a - 20. Suppose -k = -a*g - g. Is 18 a factor of g? False Suppose 0 = 5*y - y - 8. Suppose i = 3*c - 294, c - 75 = -3*i + 13. Suppose -y*o = -3*o + c. Is 28 a factor of o? False Let r(l) = 6*l**2 + 4*l + 50. Is 23 a factor of r(10)? True Suppose -85*z + 280247 = -168553. Is z a multiple of 6? True Let a be (168/63)/((-2)/(-3)). Suppose -d = -a*d. Suppose d = 9*f + f - 350. Does 5 divide f? True Suppose -551*y = 2*m - 546*y - 18097, m = -y + 9056. Is 13 a factor of m? True Suppose 38*a - 34573 = 97439. Is a a multiple of 9? True Is 26 a factor of (68775/15)/((-2)/(-4)) - 4? False Let s = -654 + 657. Suppose s*p = 0, -p - 358 - 6 = -2*u. Does 13 divide u? True Suppose -2*n = -0*n + 84. Let h be 1/3*n/(-1). Suppose -h*v = -12*v - 56. Does 14 divide v? True Let r be (3354/(-4))/(48/(-3584)*2). Suppose -20*p + r = 8*p. Is p a multiple of 26? True Let u be 55/(-22)*(-8)/5 + -3. Let j be ((-16)/20 - 0) + u/(-5). Is 762/2*((-10)/15)/j a multiple of 41? False Let i = 409 + -405. Let j(v) = -v**3 - v. Let w(a) = -4*a**2 - 9*a + 2. Let p(s) = -3*j(s) + w(s). Does 18 divide p(i)? False Let x be 4/10 + 330/(-75). Let u be 9/((-36)/56) + x. Let d = 151 + u. Is d a multiple of 18? False Does 4 divide 1 + 6/(-4)*(-107584)/96? False Suppose -16 = -4*m, m + 529 = 5*r - 3*m. Suppose 974 + 1223 = 13*g. Let a = g - r. Does 20 divide a? True Is 30 a factor of -4 + 132/30 + 87672/20? False Suppose -4*t + 888 = 168. Let m = 397 - t. Let s = 364 - m. Does 21 divide s? True Let j be 5/60 + 115/60. Suppose 5*y = -5*r + r + 944, -j*y - 3*r = -372. Is y a multiple of 24? True Let b(a) = -192*a + 1488. Is 17 a factor of b(-5)? True Let q(v) = 1794*v**2 - 21*v - 20. Let f be q(-1). Suppose 4895 = 5*o + f. Is o a multiple of 11? False Let y be 6094/(-12) + (-14)/84. Let q = y + 934. Does 11 divide q? False Let d be 5/10 - 1856/(-128). Let s be (-2)/4*-4 - -4. Suppose -d*l = -s*l - 1539. Is 16 a factor of l? False Let h(v) = 29*v**2 - 251*v - 11. Let x be h(9). Suppose 2*s = -4*d - 2*s - 260, 290 = -5*d + 2*s. Let j = d + x. Is 2 a factor of j? False Suppose -456 = -3*x + x + 2*g, -5*x - 2*g + 1161 = 0. Suppose 0 = 2*l - 2*m + 25 - x, 4*l + 3*m = 426. Is l a multiple of 11? False Let v = -2613 - -4231. Suppose -v = -17*s + 1459. Does 7 divide s? False Suppose 6*l - 1418 = -104. Let p = -201 + l. Does 2 divide p? True Let g be ((-18)/(-7) - 2)*(-4697)/(-22). Let j = g + 378. Is 6 a factor of j? False Is 31 a factor of (-278012)/(-38) + (-25)/(950/4)? True Suppose 0 = -3*r - 5*l + 15589, 3*r - 16050 + 457 = -4*l. Is 43 a factor of r? True Suppose 3*z + 915 = 6*z + 3*x, -5*x + 5 = 0. Let v = z + 327. Is 31 a factor of v? False Suppose -2*a + 911 = 3*h, -4*a - 299 = -2*h + h. Suppose k + h = x - 12, -4*x + 1260 = 4*k. Does 9 divide x? True Let o(w) = -134*w**2 + 20*w + 63*w**2 + 7*w + 68*w**2 + 3. Let y be o(9). Suppose 4*v - 248 = -b - y*b, 3*b + v - 192 = 0. Is 5 a factor of b? True Let p(b) be the third derivative of -1/24*b**4 + 0*b + 1/3*b**3 + 0 + 18*b**2. Does 2 divide p(-1)? False Let l be 3/(-4) - (-778)/(-8). Let r = l - -101. Suppose -r*d - 440 = -3*v - d, d = -4. Is 36 a factor of v? True Let h(z) = -z**3 + 6*z**2 + 9*z - 12. Let k be h(7). Suppose 0 = -5*p + 3*m + 5895, k*p + 4*m = 2262 + 122. Is p a multiple of 52? False Suppose b = -2*b - 3. Let t be -6 + 11 + 2/b. Suppose 3*r + t*z = 99, -2*r + 6 + 69 = -z. Does 9 divide r? True Let y = 39 - 53. Let r be 8/14 - (-134)/y. Let z = r - -111. Does 26 divide z? False Let f(l) = -66*l**3 - 2*l**2 + 2*l + 2. Let b(y) = y**2 + 8*y + 14. Let j be b(-6). Suppose 3*u + 2*c - 7*c + 13 = 0, j*c = u + 5. Does 21 divide f(u)? False Suppose 17899 = -25*i + 43*i - 136685. Is 144 a factor of i? False Let a = 2615 + -949. Is a a multiple of 45? False Suppose -4*w + 8 = 4*q, 3*q = 5 + 4. Let b be ((-1)/(-2) - w)*4/3. Suppose -b*h = -h - 187. Is 17 a factor of h? True Let m = 3565 - -1245. Suppose -5*x - a - a = -m, -15 = -3*a. Is x a multiple of 30? True Let d(o) = -911*o**3 + 10*o**2 + 25*o + 28. Is d(-3) a multiple of 77? True Let r(k) = -18*k + 10 + 15 + 6*k + 17*k. Does 15 divide r(49)? True Let z = -156988 - -226253. Is 18 a factor of z? False Let q(l) = l**3 - 6*l**2 - 7*l + 4. Let r be q(7). Suppose -r*t + 298 = k - 2*k, -5*t - 4*k = -362. Is t a multiple of 5? False Suppose -26*s + 4101 = 1345. Let k = s + -73. Is 14 a factor of k? False Let x be -4 + 1 - (-9 + 126)/9. Let s(u) = u**3 + 17*u**2 + 10*u - 19. Is s(x) a multiple of 4? False Let q = 95946 + -40812. Is q a multiple of 224? False Is 6 - (-21 - (-19 - -22601)) a multiple of 13? False Suppose 8195*y - 8189*y - 88032 = 0. Does 105 divide y? False Let k = 100 - 190. Let j = k - -57. Is 12 a factor of 11/j*(-535 + -1 + 2)? False Let v = 1011 + 726. Suppose 2*z = 4*k + 1404, -3*z - 2*k + v + 353 = 0. Does 14 divide z? False Let v = -762 - -3282. Does 7 divide v? True Let l(r) = 253*r**2 - 313*r - 939. Is l(-3) a multiple of 3? True Let y be 21/14*12/9. Suppose -104 = 2*l - l + 2*m, -y*l - m - 199 = 0. Let k = -71 - l. Does 17 divide k? False Suppose -2*b = 4*y - 100, -2*y = -b + 47 + 3. Let o = -25 + b. Let m = 65 - o. Is m a multiple of 40? True Is (-39938)/(-3) + (224/14 - 176/12) a multiple of 35? False Let y(p) = 30*p - 354. Let g be y(17). Suppose -2*a = g - 796. Is 10 a factor of a? True Let u = 10891 - 9434. Is 47 a factor of u? True Let v(u) = u**3 + u + 20. Let l(h) = -2*h + 17. Let k be l(9). Let i be 1*(-3 + 3)/k. Is v(i) a multiple of 4? True Suppose -14*h = -7*h + 273. Let t = -28 - h. Suppose 0 = -7*f + t*f - 320. Is f a multiple of 21? False Let a(p) = p + 37. Let j(s) = -1. Let o(x) = a(x) + 2*j(x). Suppose 24*c - 1504 + 370 = -39*c. Does 8 divide o(c)? False Suppose -4960*r = -4978*r + 52200. Is 100 a factor of r? True Suppose 60*p - 102 = 43*p, 4*p + 27240 = w. Is 64 a factor of w? True Let q = 52 - 53. Let y be 933/9 + q + (-6)/9. Suppose 2*v - y = -4*m, 0 = v - 5*m - 9 - 7
{ "pile_set_name": "DM Mathematics" }
). 0 Let s(k) = 2*k - 1. Suppose i - 4*d - 20 = d, -4 = i + d. Suppose 3*b + 21 = 3*m, i = b + 3*m - m + 10. Let x be 2/2*b/4. Calculate s(x). -5 Let x(l) be the third derivative of l**5/15 + 8*l**2 - 4. Determine x(-1). 4 Let m(t) = -t**3 + 3*t**2 + 5*t + 6. Let v be 15/4*(-176)/(-132). Determine m(v). -19 Let x(f) = -f**3 - 5*f + 3 + f - 8 + 6*f**2. Suppose 0 = -3*o - 0*o - k + 17, -4*o + 2*k = -16. Calculate x(o). 0 Let n(i) = 4 + i**2 - 4*i + 2*i**3 + 3*i - 3*i**3. Let g be 27/(-36) + ((-2)/8 - -1). Suppose -j - j + 5*j = g. Calculate n(j). 4 Let c(f) = -f**2 - 4*f + 3. Let k be (-27)/12*(-24)/(-9). Determine c(k). -9 Let g = 78 - 30. Suppose b - g = -2*b. Let v(j) = 10 - b + j - 2. Determine v(4). -4 Let j(y) = y**2 + 2*y - 3. Let k(u) = u**2 - 21*u - 50. Suppose 3*n + 89 = 4*f, -4*f + n + 85 = -6. Let v be k(f). Give j(v). 5 Let o(a) = 3*a**2 - a - 1. Let i be o(-1). Suppose 0 = -5*w + 2*y + 51, -i*y = 4*w - 28 - 22. Let p(r) = -1 - w*r**2 - 11*r**2 - 3*r + r + 14*r**2. Give p(-1). -7 Let u = 117 - 117. Suppose 2*o = -0*o + 4. Let t(c) = 7 + c**3 - 2*c**3 - 1 + c**o. Calculate t(u). 6 Let a(l) = 12 - 9*l**2 - 14*l**2 - 11*l + 24*l**2. Determine a(9). -6 Suppose -7 = v + 3*i, -5*v + i = -15 + 18. Let z(u) = 5*u**2 + 3*u + 3. Let y(r) = -3*r**2 - r - 1. Let m(b) = -5*y(b) - 2*z(b). Calculate m(v). 5 Let c(f) = -f**3. Let s(v) = -v**3 + v**2 - 9. Let g(q) = -4*c(q) + s(q). Let t(k) = -k**3 - k**2 + 4. Let z = 1 - 3. Let i(w) = z*g(w) - 5*t(w). What is i(2)? 2 Let h(v) = 2*v**2 - 3. Let l(g) = 5*g**2 - 7. Let f(a) = -7*h(a) + 3*l(a). Let r be f(-2). Let k(i) = i**2 - i. Give k(r). 12 Let b(o) = -143 + o**2 - 8*o + 286 - 136. Calculate b(5). -8 Let c(q) = q**2 - q + 1. Let w be c(2). Let i(v) = w + v - 9*v + 6*v. What is i(6)? -9 Let c(u) = 3*u + 7*u - 16*u - 18 + 4*u. Determine c(-14). 10 Let r(u) be the second derivative of -9*u**3/2 - 39*u. Determine r(1). -27 Let t(s) = 5*s + 1. Let j = 14 + -13. Suppose -20 - j = -3*u - r, 0 = u - 5*r - 23. Suppose q - 16 = 2*q - 5*h, u = -5*q + h. Give t(q). -4 Suppose -5 = -5*k + 15. Let v = -3 + k. Suppose -2*q + q + v = 0, -2*r = q + 1. Let o(f) = f. Determine o(r). -1 Let z(p) = -107*p - 113*p + 218*p - 2 + 15. What is z(9)? -5 Suppose -12*g = -4*g - 288. Suppose g = -4*u + 4*s, 5*s - s = 12. Let t(d) = 0*d + 5 + d + 2*d. What is t(u)? -13 Let z(y) be the first derivative of -y - 46 - 1/2*y**2. Determine z(-7). 6 Let s(c) = -6*c**3 - 10*c**2 - 10. Let b(y) = -y**3 - y**2 - 1. Let f(i) = i**3 + 9*i**2 - i - 10. Let z be f(-9). Let u(w) = z*s(w) + 10*b(w). Calculate u(1). -4 Let p(f) = -f + 3*f - 3 - 13*f + 7*f**2 - f**3 + 0*f**2 + 4*f. Let v be (-36)/(-3)*(-1)/(-2). What is p(v)? -9 Let n(a) = 15*a - 7. Let z(m) = -2*m. Let q(l) = -n(l) - 6*z(l). Calculate q(5). -8 Let m(y) = 2*y**2 - y. Let d(w) = 7*w**2 - 11*w - 10. Let c(v) = d(v) - 4*m(v). What is c(-7)? -10 Let f = -6 - -6. Let y(a) be the first derivative of 9*a + 0*a**2 + 1/3*a**3 + 2 - 1/4*a**4. Calculate y(f). 9 Let u(q) = q**3 - q**2 - 2*q + 3. Suppose -29*a - 30 = -44*a. What is u(a)? 3 Let z = 34 + -32. Let l(w) = -6 + 4 - 2*w + z - 1. Determine l(1). -3 Let d = 14 - 8. Suppose -4*v = d - 2. Let u(m) = -11*m - 10*m + 6*m. Give u(v). 15 Let f(y) be the second derivative of y**5/20 + y**4/6 - y**3/6 - 5*y**2/2 + 17*y + 3. What is f(0)? -5 Let a be (-21)/(-3) + (9 - 11). Let q be (-144)/(-60) - 2/a. Let t(s) = 2*s**2 - 1. Calculate t(q). 7 Let r = 2 - -3. Suppose -3*m = r*a, -m = -0*m. Suppose a = 2*n + 2 - 12. Let d(w) = w**3 - 4*w**2 - 7*w + 3. Determine d(n). -7 Suppose -4*o + 13 - 5 = 0. Let i(a) = 0*a**2 + 3*a - 7 - a**o - 10*a. Let h(z) = 43*z - 479. Let j be h(11). Calculate i(j). -1 Let s be (10/(-12))/(2/(-12)). Let q be (2 - s) + (0 - -2). Let t(k) = 16*k**2 - k - 6. Let r(a) = -15*a**2 + a + 5. Let u(w) = -5*r(w) - 4*t(w). What is u(q)? 11 Suppose -20 = -4*c - 4*s, 0*c + s + 3 = c. Suppose -6*r + 7*r + c = 0, 3*r + 24 = 3*g. Let d(l) = l**3 - 3*l**2 + 2*l - 6. What is d(g)? 18 Suppose -22 = 4*f - 2*i, 3*f + 20 = -2*f + i. Let m(b) = 2*b + 11*b + 2 - 12*b. Determine m(f). -1 Let q be (-213)/2*50/75. Let g = q + 67. Let w(l) = 2*l**2 + 6*l. What is w(g)? 8 Suppose q - 3*d - 4 = -4*d, -6 = -5*q + 2*d. Let m(u) be the third derivative of u**5/60 + u**3/6 + 548*u**2. What is m(q)? 5 Let d(p) = p**3 - 8*p**2 + p - 8. Let b be -3 + 2 - (-7)/(49/63). Determine d(b). 0 Let y(t) = -t**3 + 6*t**2 - 3*t - 7. Let u = 17 - 23. Let m be -3*(u/9 + 0). Suppose -5*s + m*s + 15 = 0. Determine y(s). 3 Let o(h) = h**3 + 3*h**2 + 4. Let x(n) = -n**3 + 4*n**2 - 2*n + 2. Let l be x(3). Suppose -13 = m + l*b, -1 = 2*m - 3*m + 2*b. Determine o(m). 4 Suppose 5*u - 4*u - 11 = -2*m, -2*m + 8 = -2*u. Suppose -3 = -3*y + 2*y. Let f(v) = -y*v - 1 + 6 - 5. Determine f(u). -3 Let s(f) = f**2 + 10*f - 334. Let x be s(14). Let r(k) = -5*k**3 + 2*k**2 - 2*k + 4. Give r(x). -32 Suppose -5*f = -3*f - b + 14, 0 = -4*f + 4*b - 32. Let a(q) = -q - 6. Calculate a(f). 0 Let v(m) = -3*m**2 + 5*m + 7. Let u = 195 - 199. Let o(f) be the first derivative of 2*f**3/3 - 5*f**2/2 - 6*f + 1. Let g(c) = u*o(c) - 3*v(c). Calculate g(-3). -3 Let p(h) = h**3 - 17*h**2 + 18*h - 19. Let y(c) = -c + 34. Let x be y(18). Determine p(x). 13 Let q(x) = x**2 - 2*x + 2. Suppose 31 = 4*r + 23. What is q(r)? 2 Let d(b) be the second derivative of -9*b**5/20 + b**4/3 - b**3/2 - 2*b**2 + 6*b. Let u(x) = -x**3 + x**2 - x - 1. Let i(w) = -d(w) + 6*u(w). Calculate i(-2). -12 Let u(i) = 3*i - 5. Let r(m) = -3*m + 6. Let o(v) = 6*r(v) + 7*u(v). Let l(q) = 16*q + 6. Let b(k) = 2*l(k) - 11*o(k). What is b(-3)? 4 Let z = -3210 + 3203. Let h(o) be the third derivative of -1/12*o**4 - 3/2*o**3 + 0 + o**2 + 0*o. What is h(z)? 5 Let l(c) = -2*c + 1. Suppose 3*v + 3*i - 261 = -0*v, -3*i = -2*v + 199. Let k = 89 - v. What is l(k)? 7 Let u(d) = d**3 - 21*d**2 - 3*d + 61. Let r be u(21). Let x(a) = -4*a**2 + a - 1. Give x(r). -19 Let h(v) = 2*v**3 - 8*v**2 - 2*v + 4. Suppose 20 = -5*b, 19*b - 22*b = 4*j - 4. Determine h(j). -4 Let q(p) = 4*p**3 - 2*p**2 + 3*p - 1. Let y(w) = w**3 + w - 1. Let t(h) = q(h) - 3*y(h). Suppose 3*b + 5*b = 32. Let z = b - 2. What is t(z)? 2 Let n(h) = h**2 + 2*h - 1. Let x be n(-2). Let r(j) = -6*j - 2. Let o(w) = -19*w - 6. Let k(d) = -o(d) + 3*r(d). Give k(x). -1 Let j(v) = -1 + v + 5*v**3 - 3*v**3 + 3*v**3 + 3*v - 6*v**3. Give j(-3). 14 Let v(j) = 2*j**3 - 17*j**2 + 5*j - 7. Let m(x) = -x**3 + 8*x**2 - 2*x + 3. Let f be 185/(-20) + 2/8. Let t(a) = f*m(a) - 4*v(a). Determine t(5). 16 Let y(h) = -h**2 - 93*h + 293. Let w be y(3). Let r(b) be the third derivative of -b**5/60 + b**4/4 + b**3/6 - b**2. Calculate r(w). 6 Suppose 2*u = -6, -h + u + 13 = 4*h. Let x(v) = 1 - 3*v**3 + v**2 - 3*v**3 + 5*v**3 - 5*v**h. Suppose -2*s + 4*p = 20, 2*s + 3*p - 7 = -2*p. What is x(s)? 1 Let a(j) = j**2 + 6*j - 72. Let v be a(-12). Let u(t) be the second derivative of v - 1/2*t**2 - 11/6*t**3 + 7*t. Calculate u(-1). 10 Let u be (-33)/(-77) - (-3)/(-7). Let x(o) = u*o - o**3 + 122 - 4*o - 120 - 6*o**2. What is x(-4)? -14 Suppose 3*w - 15 = -3*i, -4*w + i - 20 = -8*w. Let y(b) = b**2 + 3 + 2*b - b + w*b + 0*b. Suppose -9 = 2*q + 3. What is y(q)? 3 Let s(m) = -m**3 - 5*m**2 - 3*m - 2. Let t(u) = -u**3 - 4*u**2 - 3*u - 1. Let i(d) = -4*s(d) + 5*t(d). Give i(2). -11 Let y(h) = -h**3 - 7*h**2 + 6*h - 10. Let i be y(-8). Suppose -3*g + 4*d = -i*g + 13, d = g - 16. Let t = g - 17. Let j(k) = k**2 + 7*k + 6. Calculate j(t). 0 Let p be (-12)/(-3) + (-10)/5. Suppose -p*i = -6*i + 5*s + 9, -21 = -i - 5*s. Let v(b) = b**3 - 6*b**2 + 2*b - 2. What is v(i)? 10 Let w(b) = 2*b**3 + 5*b**2 - 13*b + 3. Let x(a) = a**3 + 6*a**2 - a - 1. Let h(g) = w(g) - 3*x(g). Calculate h(-12). -18 Let z(a) = 3 - 26*a + 15*a - 4 + 13*a. Let q be (-2)/(-5) - 4/10. Suppose -5*b + q*b + 42 = -3*x, -4 = x. Give z(b). 11 Let h(a) = -a**3 + 10*a**2 + 2. Suppose -3*n + 8 = 2*i, 10 = -3*i + 6*i + 5*n. Let m be h(i). Let c(f) = -2*f. Calculate c(m). -4 Suppose -6*n = -2 + 8. Let y(v) = -6*v + 6. Let t(o) = -1. Let b(z) = n*y(z) - 5*t(z). Give b(-1). -7 Let g = -337 + 330. Let u(c) = c**2 + 10*c + 8. Calculate u(g). -13 Let s(q) = -q**2 + 5*q + 8. Let w(g) = -1 + 1 - 2 + 3 + g. Let y be w(5). Give s(y). 2 Let u = 0 - -4. Let q(w) = -w**2 + 4
{ "pile_set_name": "DM Mathematics" }
ich is the closest to -0.1? (a) -5/3 (b) 29 (c) -0.06 (d) 4 (e) 0.8 c Which is the nearest to -4.1? (a) -115.2 (b) -0.09 (c) -2/9 c What is the nearest to 1131 in -2/5, -2.92, -0.3? -0.3 Which is the nearest to 4/7? (a) -10 (b) -2/15 (c) 1/8 (d) -2 (e) -0.05 c Which is the closest to -108? (a) -0.5 (b) -0.07 (c) 6 a Which is the closest to 1/2? (a) -9 (b) -0.5 (c) 0.4 (d) -0.17 (e) 5 c What is the nearest to -0.5 in 3, -0.5, -0.04, -0.3, 274? -0.5 What is the closest to -0.3 in 5, 1, -2/13, 843? -2/13 What is the nearest to -5 in -0.02, 3, -15, 0.13? -0.02 What is the nearest to -3/5 in 0.13, -1, 6/19? -1 Which is the nearest to -0.094? (a) 1/2 (b) -2/359 (c) 21 b What is the nearest to -1 in 75, 5, 1/4, 1/8? 1/8 What is the nearest to 0.25 in -0.4, -4, -0.2, -0.1, -1/2? -0.1 Which is the closest to -0.4? (a) -3/2 (b) -16273 (c) -26 a What is the closest to 1/19 in 24, -2/9, 1/5, -0.064? -0.064 Which is the nearest to 2? (a) -2 (b) 0 (c) 0.1218 c Which is the closest to -1/7? (a) 29 (b) -180 (c) 0.2 c What is the nearest to 3/2 in -0.1, -33, -1? -0.1 Which is the closest to 1/2? (a) -24 (b) 5 (c) -4.6 (d) -1 d Which is the nearest to 0.2? (a) 1/2 (b) 4/3 (c) 744 a Which is the nearest to -98? (a) 1/18 (b) -2/23 (c) 2/5 b What is the closest to 226 in -3/7, 9/7, -6? 9/7 What is the closest to 0.32 in 2/9, -4, 0.1, 2.7? 2/9 What is the closest to -35 in 3, -4/17, 1/7, 4/7, 0.7? -4/17 What is the closest to -3/2 in -2/3, 0.5, -4, -106, 2? -2/3 Which is the nearest to -2/11? (a) -0.11 (b) 1/2 (c) -2/3 (d) -1/848 a What is the nearest to -0.1211 in 2, -1, -2/11, 0? -2/11 Which is the closest to -2/27? (a) 0.1 (b) 3/5 (c) -25 a Which is the closest to -1? (a) -2/29 (b) 103/4 (c) 0.14 a What is the nearest to -27 in -0.042, -0.13, 3? -0.13 What is the closest to 44 in 52, 3, 1/3? 52 Which is the closest to -93? (a) -6 (b) 3 (c) 0.5 a What is the nearest to -6 in 2/5, 5, -0.733, -4? -4 What is the closest to 11 in 0.4, 60, 1/5, 3/5? 3/5 What is the nearest to 1 in 0.2, 0.5, 6/29, 177? 0.5 What is the closest to -4 in -1/6, -308/3, 6, -0.2, 1? -0.2 Which is the closest to -1? (a) 36 (b) -90 (c) -1 c What is the closest to 2/7 in 2, 3/4, -8487? 3/4 What is the closest to -3.8 in -0.8, -28, 0.1? -0.8 What is the nearest to -7/32 in 0.3, 33, -0.2? -0.2 Which is the nearest to -13? (a) -45 (b) -5 (c) 0.792 b Which is the closest to 5? (a) -32 (b) -2/15 (c) -24 b Which is the nearest to -2/915? (a) 1 (b) -2/13 (c) -4 (d) 3/23 d Which is the nearest to 15? (a) 8.5 (b) -1 (c) -215 a What is the closest to 24 in 0.6, 0, -107? 0.6 Which is the closest to 0.1? (a) -1 (b) -606 (c) 2 (d) 1 (e) -5 d What is the nearest to -1406 in 4, -0.3, 2/9? -0.3 What is the closest to -16.1 in -4, 4/7, 0, -12/11, -0.5? -4 Which is the closest to 765/2? (a) -1.4 (b) -2/13 (c) -3 (d) -6 (e) -2/9 b Which is the nearest to -1.6? (a) 3/2 (b) 0 (c) 63 b Which is the nearest to 0.2? (a) 13 (b) 0.13 (c) 2/5 (d) 5 (e) -4 b Which is the closest to 1/5? (a) -1 (b) 628 (c) -20 (d) -2 a Which is the nearest to 0.05? (a) -1/3 (b) 4 (c) -2/2423 (d) 2/7 (e) -0.2 c Which is the closest to 0.1? (a) -111.5 (b) -0.5 (c) -4 (d) -2 (e) 0.4 e Which is the nearest to -0.5? (a) 3 (b) -5 (c) -1/2 (d) 2/5 (e) -24 c What is the closest to 0.1 in 11/3, 2, -0.1063? -0.1063 What is the nearest to -3 in -155, -3/10, -15, 4, 4/5? -3/10 Which is the closest to -2/11? (a) -2.6 (b) -1/3 (c) 0.19 (d) -0.8 b Which is the nearest to 1? (a) -6 (b) 0.3 (c) -0.02 (d) -2.2 (e) 4 b Which is the nearest to 4.18? (a) 2 (b) -136 (c) -0.5 (d) -2/25 a Which is the closest to -0.2? (a) 1/4 (b) 0.1 (c) 208 (d) 0.3 b What is the closest to 5/2 in 35, -1/6, 5, 1.1? 1.1 What is the nearest to 0.7 in 0.4, 0.3, -18/5, -2? 0.4 Which is the nearest to -3? (a) 0.3 (b) -19 (c) 2/27 (d) 2/11 (e) -0.2 e What is the closest to 0.1 in -0.1, 23/6, 0.01, -8, 0.03? 0.03 Which is the nearest to -0.1? (a) 1/8 (b) 1.3 (c) -51 a What is the closest to -0.1 in 2/1067, -0.04, -12? -0.04 What is the nearest to -0.0687 in 2/9, -4/5, -0.4? 2/9 What is the nearest to 208 in -1, 0.38, 2? 2 What is the closest to -2 in -3, -4/13, 5/13? -3 What is the closest to 2/7 in -3, 0, -120? 0 What is the nearest to -1/3 in 1/6, -1113, -1/17, -5? -1/17 Which is the nearest to 192? (a) 4 (b) 2 (c) 2/13 (d) -0.3 (e) 1/6 a Which is the nearest to -0.5? (a) 1 (b) 0 (c) -21 b What is the nearest to -1/8 in -2.6, 0.2, 2? 0.2 Which is the closest to -4? (a) 2 (b) -5 (c) 0.1 (d) 19237 b What is the nearest to -2/9 in 0.4, -17, 1, -7/3? 0.4 What is the nearest to 2/3 in 0.1, -809, 2/5? 2/5 Which is the closest to 0? (a) 5 (b) -1.8 (c) -60/7 (d) -0.4 (e) 0 e Which is the nearest to -0.0516? (a) 5 (b) 0.4 (c) 7 b What is the nearest to 2/7 in -2/1483, -2, 2, 0.07? 0.07 Which is the nearest to -1? (a) -3/2 (b) -3.4 (c) -4 (d) -0.2 a Which is the closest to -58/7? (a) 0.4 (b) -0.4 (c) 38 (d) -0.2 b Which is the nearest to -0.2? (a) -0.01 (b) -99.6 (c) -1/4 c Which is the closest to -2/7? (a) -271 (b) -0.2 (c) 8/5 (d) 18 b Which is the nearest to -2? (a) -0.29 (b) -0.01 (c) 2/9 (d) -17 a Which is the closest to 2/5? (a) -9 (b) 0.02577 (c) -2/17 (d) -2 b What is the nearest to 36/11 in 2/5, 0.9, -0.02? 0.9 Which is the nearest to -13? (a) -60/13 (b) 2/5 (c) 26 (d) 2 a Which is the closest to -4? (a) 2 (b) 0 (c) -11701 (d) -1/8 d Which is the nearest to -2? (a) -0.61 (b) -2/7 (c) 13 (d) 4/5 a What is the nearest to -1 in 3/4, 16, 1/3, 0.1, 483.5? 0.1 What is the closest to 10.04 in 2/11, -73, -0.1? 2/11 What is the closest to -12 in 954, 0.05, -2? -2 Which is the nearest to -0.2? (a) -81 (b) 2 (c) -3 (d) -0.4 d Which is the nearest to -1? (a) -2 (b) -9.4 (c) -0.03 c What is the nearest to 0 in -0.2, -244, -4/5, -75? -0.2 What is the nearest to -22 in -1, -4/7, 2, 2/9, 4? -1 What is the nearest to -0.0241 in 1, 11, 0, -7/6, 3? 0 Which is the nearest to -2? (a) 10 (b) 1/7 (c) 6.6 b What is the closest to 3/11 in -3, 2/3, -5.7? 2/3 What is the nearest to -2/43 in 0.4, -5, -0.2? -0.2 Which is the closest to 2? (a) 293/218 (b) -2/9 (c) -5 a What is the nearest to 0 in 2/7, 16, 2, -0.2? -0.2 Which is the nearest to -32? (a) -0.1 (b) -4 (c) -2/3 (d) -10 (e) -2 d What is the closest to -2 in -0.2, -80, 0.5, -12, -3? -3 Which is the closest to 0? (a) -14 (b) 1/34 (c) -0.9 (d) 0.4 (e) -1/7 b Which is the closest to -3/83? (a) -1 (b) 5 (c) 1 a What is the closest to 0 in 62, 0, -18, 9, -3/4? 0 Which is the nearest to -4005? (a) 4 (b) 3 (c) -1 (d) -0.1 c Which is the nearest to 3/2? (a) 63 (b) -2/395 (c) 1/11 (d) 1 (e) -1 d What is the closest to 0.14 in -3/5, -1/5, -120? -1/5 Which is the nearest to 1? (a) 0.5 (b) -3/2 (c) 151 (d) 1 d Which is the nearest to 3/2? (a) 0 (b) -1/8 (c) -444 a Which is the nearest to 0.07? (a) 5 (b) -0.3 (c) 0.3 (d) 36 c What is the closest to -18 in -0.08, -3/4, -3, -0.05? -3 Which is the nearest to 7? (a) 2/13 (b) -31 (c) -4 (d) 0.101 (e) -0.5 a Which is the nearest to -25? (a) 1/2 (b) 2/5 (c) 0.008 (d) -8 d What is the nearest to -2/33 in -0.4, 0.2, 0.5, 2/5? 0.2 Which is the closest to -0.1? (a) -4 (b) -5 (c) 8 (d) 2.4 (e) 0.077 e Which is the closest to -1085? (a) -2/7 (b) -9 (c) 0 b What is the closest to 0.2 in 5, 2/11, 0, 4, -2/13? 2/11 What is the nearest to -2/371 in 1, 2, 147? 1 Which is the closest to 9? (a) -3 (b) 5 (c) 400 b Which is the closest to -1? (a) 3 (b) -0.91 (c) -4 (d) 3/194 b What is the nearest to 11/4 in 2, 1/9, 8, -1, -47? 2 Which is the nearest to 0.07? (a) -2 (b) -3 (c) 0.1 (d) 0 c Which is the closest to -9? (a) 2 (b) 4 (c) 0.047 (d) -1/3 (e) -5 e Which is the nearest to 5? (a) 1/5 (b) -7607 (c) 5 (d) -1 c What is the nearest to -0.028 in 2, 2/171, 0.2? 2/171 Which is the nearest to 105/8? (a) -3 (b) 5 (c) 1 (d) 9 (e) 2 d What is the closest to 4/3 in -1, -1/6, -1/2, 1117/3? -1/6 What is the nearest to 2/3 in 1.489, 0, -23? 0 Which is the closest to -1? (a) 36 (b) -22 (c) 13 c Which is the closest to 1/2? (a) -2/5 (b) 25 (c) -1 (d) -0.58 a What is th
{ "pile_set_name": "DM Mathematics" }
replacement from fvmymvdmvfdmvmm? 6/455 Two letters picked without replacement from {u: 5, g: 4, b: 2}. Give prob of picking 1 g and 1 u. 4/11 Two letters picked without replacement from ivcscicvvv. Give prob of picking 2 c. 1/15 Two letters picked without replacement from {s: 1, q: 18}. What is prob of picking 1 s and 1 q? 2/19 Four letters picked without replacement from {i: 10}. Give prob of picking 4 i. 1 Two letters picked without replacement from accaccnaooccaccaoa. What is prob of picking 2 o? 1/51 Four letters picked without replacement from {n: 12, l: 3}. What is prob of picking 2 n and 2 l? 66/455 Calculate prob of picking 3 r and 1 q when four letters picked without replacement from qrqrrqr. 12/35 Calculate prob of picking 1 y and 1 m when two letters picked without replacement from {y: 2, s: 2, m: 2}. 4/15 What is prob of picking 1 z and 1 x when two letters picked without replacement from zxb? 1/3 Two letters picked without replacement from {r: 3, h: 2, i: 7, v: 1, d: 2, t: 3}. Give prob of picking 2 d. 1/153 Four letters picked without replacement from zokplllppll. What is prob of picking 1 k, 1 o, and 2 p? 1/110 Four letters picked without replacement from {b: 11, a: 9}. What is prob of picking 3 a and 1 b? 308/1615 Four letters picked without replacement from {f: 1, q: 4, u: 1, r: 1, x: 2}. Give prob of picking 1 u, 1 x, 1 q, and 1 r. 4/63 Two letters picked without replacement from {q: 1, x: 2, u: 4}. What is prob of picking 1 x and 1 q? 2/21 Calculate prob of picking 2 r when two letters picked without replacement from {r: 10, c: 10}. 9/38 Two letters picked without replacement from {q: 1, a: 13, x: 1}. What is prob of picking 2 a? 26/35 Two letters picked without replacement from zzhscsch. Give prob of picking 1 h and 1 c. 1/7 Calculate prob of picking 4 g when four letters picked without replacement from gjjjggtjgjjggggggtjg. 22/323 Calculate prob of picking 1 w and 1 d when two letters picked without replacement from wdwdwwdw. 15/28 Three letters picked without replacement from nbxbbxxbbxxnx. What is prob of picking 2 b and 1 n? 10/143 Calculate prob of picking 1 i and 1 l when two letters picked without replacement from libbyiyycuiuu. 1/26 Calculate prob of picking 2 z when two letters picked without replacement from {n: 3, u: 8, b: 2, z: 2, o: 4}. 1/171 Two letters picked without replacement from xxwxexbewwwdwwwe. Give prob of picking 1 b and 1 e. 1/40 Three letters picked without replacement from {c: 2, y: 5, a: 2}. What is prob of picking 2 a and 1 c? 1/42 What is prob of picking 1 i and 1 o when two letters picked without replacement from {k: 1, c: 2, o: 1, m: 1, i: 2, s: 1}? 1/14 What is prob of picking 2 y and 1 b when three letters picked without replacement from eezeyab? 0 What is prob of picking 2 p and 1 x when three letters picked without replacement from {x: 15, p: 3}? 15/272 Two letters picked without replacement from {l: 1, c: 8, d: 7, q: 2}. What is prob of picking 2 q? 1/153 Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 7, j: 1}. 1/4 Four letters picked without replacement from uwzszzwrsuzs. Give prob of picking 2 s, 1 w, and 1 r. 2/165 Two letters picked without replacement from kkcpcwi. Give prob of picking 1 w and 1 k. 2/21 Calculate prob of picking 1 i and 2 n when three letters picked without replacement from iiinnnnninnninniinid. 22/57 Four letters picked without replacement from {t: 1, z: 2, w: 3, l: 6}. What is prob of picking 2 l and 2 z? 1/33 Calculate prob of picking 1 y, 1 v, and 1 t when three letters picked without replacement from {v: 7, t: 2, u: 2, y: 7}. 49/408 Two letters picked without replacement from {j: 2, f: 9}. What is prob of picking 1 f and 1 j? 18/55 What is prob of picking 1 i, 1 n, 1 p, and 1 w when four letters picked without replacement from {p: 1, a: 5, w: 3, i: 3, n: 1}? 9/715 What is prob of picking 2 o and 2 c when four letters picked without replacement from {o: 4, c: 3}? 18/35 Calculate prob of picking 2 h and 1 v when three letters picked without replacement from {h: 4, v: 3, o: 7}. 9/182 Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {q: 10, m: 1, h: 9}. 1/19 Calculate prob of picking 3 a and 1 r when four letters picked without replacement from aaaaraaarraaaaaraa. 364/765 Four letters picked without replacement from pjjuvpukkojuvuj. Give prob of picking 2 j, 1 k, and 1 o. 4/455 Two letters picked without replacement from {c: 12, i: 1}. What is prob of picking 2 c? 11/13 Two letters picked without replacement from hhhzzzrhhhhhhhhhrh. What is prob of picking 1 r and 1 z? 2/51 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {i: 1, k: 1, o: 2, z: 1, d: 1, j: 1}. 1/21 What is prob of picking 1 g and 1 p when two letters picked without replacement from gkpij? 1/10 What is prob of picking 1 k and 1 y when two letters picked without replacement from {k: 1, l: 4, h: 1, y: 4, d: 1}? 4/55 Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {n: 3, e: 5, p: 6, s: 1, b: 2}. 15/136 What is prob of picking 1 y and 1 s when two letters picked without replacement from yyjyuyujuuuyjyyyuss? 16/171 What is prob of picking 1 h and 1 a when two letters picked without replacement from avnasah? 1/7 Three letters picked without replacement from {g: 11, b: 1}. What is prob of picking 3 g? 3/4 What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhhhhhhhhghhh? 16/19 Four letters picked without replacement from {q: 11, l: 9}. Give prob of picking 4 q. 22/323 Calculate prob of picking 2 k, 1 g, and 1 b when four letters picked without replacement from {g: 2, k: 2, b: 6, t: 1, i: 1}. 4/165 What is prob of picking 1 n and 1 y when two letters picked without replacement from tnecy? 1/10 Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {l: 2, q: 2, i: 1, y: 1, f: 1, p: 1}. 1/28 Calculate prob of picking 3 w and 1 b when four letters picked without replacement from wbbwwkbwhbb. 2/33 Three letters picked without replacement from aaayzayazaaaaa. Give prob of picking 1 y, 1 a, and 1 z. 10/91 Two letters picked without replacement from ysysssysiligyzyzlysi. What is prob of picking 1 s and 1 l? 6/95 Three letters picked without replacement from {v: 7, h: 1, l: 2, t: 2, r: 1, n: 2}. Give prob of picking 1 h, 1 l, and 1 t. 4/455 Four letters picked without replacement from iiiguiwxhxghxuh. Give prob of picking 1 u, 1 i, 1 h, and 1 x. 24/455 What is prob of picking 1 z and 3 y when four letters picked without replacement from zzzyzzzzyzzzzzyz? 1/140 Two letters picked without replacement from nnnnnoo. What is prob of picking 2 o? 1/21 Two letters picked without replacement from umuhnnmhm. What is prob of picking 2 n? 1/36 Four letters picked without replacement from {p: 1, g: 5, n: 2, y: 3, z: 3, t: 1}. Give prob of picking 1 p, 1 z, and 2 n. 1/455 Calculate prob of picking 1 q and 2 y when three letters picked without replacement from {q: 2, l: 4, y: 7}. 21/143 What is prob of picking 1 y, 1 l, and 1 o when three letters picked without replacement from yaols? 1/10 What is prob of picking 1 v and 2 y when three letters picked without replacement from vvlyeyyyq? 1/7 Three letters picked without replacement from {q: 1, l: 5, y: 4, f: 3, a: 1, h: 1}. Give prob of picking 1 l, 1 q, and 1 f. 3/91 Calculate prob of picking 2 c when two letters picked without replacement from ccc. 1 Calculate prob of picking 1 o and 2 n when three letters picked without replacement from ontnor. 1/10 What is prob of picking 3 p when three letters picked without replacement from {g: 1, m: 2, p: 5, s: 1, v: 1}? 1/12 What is prob of picking 1 e and 1 t when two letters picked without replacement from {t: 2, i: 3, e: 1, x: 1}? 2/21 Two letters picked without replacement from {c: 11, t: 5}. Give prob of picking 2 t. 1/12 What is prob of picking 2 w when two letters picked without replacement from {w: 9, n: 7, z: 3}? 4/19 Three letters picked without replacement from pggugpvgg. Give prob of picking 1 p and 2 g. 5/21 What is prob of picking 1 b and 2 t when three letters picked without replacement from ttbbbb?
{ "pile_set_name": "DM Mathematics" }
)*m**5))/(((m*m**2*m)/m)/m**(-2)*(m*m/((m*m/m**(-3/5))/m)*m*m)/m*m**(1/2)) assuming m is positive. m**(-2287/180) Simplify (((d**(-1/24)*d**(4/9))**27)**34)**(-35) assuming d is positive. d**(-51765/4) Simplify ((v/(v/(((v**0/v)/v)/v)))**(-3/16)*v*v**(4/5)*v*v/(v*(v*v**14*v)/v))**15 assuming v is positive. v**(-2793/16) Simplify (w**(3/5)*w**(7/8))/(w**0/(w**(-7/10)*w)) assuming w is positive. w**(71/40) Simplify ((z**(-1/3))**38*z*z/(z**(-13)*z)*z*z**3)**(-1/46) assuming z is positive. z**(-8/69) Simplify (z/(((z/(z**(-5)/z))/z*z)/z)*z*(z/z**(-1/6)*z)/z*(z**(1/11)*z*z*z*z)**19)**(31/3) assuming z is positive. z**(153233/198) Simplify ((t**(-2/5)*((t/t**(2/15))/t)/t)/(t/(t*t/(t/t**10))*t*t/((t**(-2/11)/t)/t)))**(-41) assuming t is positive. t**(-28987/165) Simplify ((((o*o**(-2/5)/o)/o)**(-40)/(o**(1/3))**37)**2)**30 assuming o is positive. o**2620 Simplify ((c**(-1/5)*c)/c**(-1/3)*(((c/(c*c**(2/3)/c*c))/c)/c)/c**(2/7))/((c**0)**24)**49 assuming c is positive. c**(-191/105) Simplify ((d/(d/(d/d**(-1))*d))/d*d)**(-14)/(d**(-1/2)*d**(-7)*d)*(d**1)**(-1/3)*((d**1/d*d)/d*d)/(d**1*d) assuming d is positive. d**(-53/6) Simplify (w/(w/(((w/w**(2/5))/w*w)/w)*w*w)*w*(w*(w/w**(-6))/w)/w)**46*(w/w**4*w*w**(1/7))**(-49) assuming w is positive. w**(1513/5) Simplify (((h**11*((h**10*h)/h*h)/h)/(h**(-1/14)*h**15))**(-4/13))**16 assuming h is positive. h**(-2720/91) Simplify ((v**(1/7)/v)**(10/3)*v**(-15)/v**20)**25 assuming v is positive. v**(-6625/7) Simplify ((b/((b**(1/15)*b)/b)*b)/b)**(4/3)/(b/b**48*b/(((b*b**(-2/123))/b*b)/b)) assuming b is positive. b**(87136/1845) Simplify ((w**(-9)/w**(-10))/(w*w**0/w)**(-25/3))**32 assuming w is positive. w**32 Simplify ((((v**(4/15))**(5/16))**8)**(5/2))**8 assuming v is positive. v**(40/3) Simplify ((s*(s*s**0)/s*s*s)/s*s*s*s**7/s*s**(1/6)/(s*s**5))/((s**(2/3))**(-1/6)*s**6/(s*(s/((s*s/s**(2/3))/s))/s)) assuming s is positive. s**(-19/18) Simplify (a*a*a**21)**3/(a/a**(-1/27))**(2/9) assuming a is positive. a**(16711/243) Simplify (((m/m**(-1/3))/m)/m)**(-8)*m**(-2/19)*(m/(m**(-4)*m))/m*(m**1/((m**(2/19)/m)/m))**(2/33) assuming m is positive. m**(479/57) Simplify ((x**34*x**(3/5))/(x**(3/10)*(x*x/((x*x**(-24)*x)/x))/x))**(16/5) assuming x is positive. x**(824/25) Simplify (z/(z*(z*z**17*z)/z)*z**(2/19)*(z**(-3/2)*z)/z**9)**35 assuming z is positive. z**(-36435/38) Simplify ((((((k**(1/2)*k*k)/k)/k)/k*(k**(1/4)*k)/k)/(((((k**(-5/3)*k)/k)/k*k)/k*k)/k**5))**(-2/13))**(-28) assuming k is positive. k**(1078/39) Simplify ((u/(u**(11/4)*u)*u*u*u**(-19))/(u**(15/8))**(2/91))**17 assuming u is positive. u**(-30617/91) Simplify ((b**(-6)*b**(-3)*b*(b*b/b**1)**28)**17)**(-1/21) assuming b is positive. b**(-340/21) Simplify ((o**(-2/5))**3)**(1/40)/((o**(6/11)/o)/o**(-6)*(o**0/o)**(-36)) assuming o is positive. o**(-45733/1100) Simplify ((c**(-5/3)*c*c)/c**(1/8)*c*c/c**(-3)*c**(-3))/((c/(c/(c*(c/((c**(1/3)*c*c)/c))/c)*c))/c**(-2))**48 assuming c is positive. c**(-715/24) Simplify (o*(o/((o/o**(-3/2))/o))/o*o*o**(2/9)*o/(o*o**2/o)*o*o*o*o*o*o**(-2/3)/o)/(((o*o**(-1))/o)**21)**17 assuming o is positive. o**(6481/18) Simplify (((b*b*b*b/b**(-10)*b*b)/(b*b**10/b))/(((b*b*(b/b**(8/3))/b*b*b*b)/b)/(b*b**7)))**(-27) assuming b is positive. b**(-342) Simplify (s*s*s/s**(2/3))/s*s*s*s*s*s**6*(s**(-2/11)/s)/(s/(s**(-1/4)/s))*((s**(-1))**(2/7))**(-19) assuming s is positive. s**(12317/924) Simplify ((y**(-3/2)*y)/(y/y**(-7)))**(6/5)*(y**(-8)*y)/y*y*y*y**(2/27)*y/(y*((y/(y**1*y))/y)/y)*y*y**5 assuming y is positive. y**(-962/135) Simplify ((m/(m/(m*m**(2/7))))**(-6/13))**41*(m**(2/3)/(m*m/(m**(-1/6)/m)))**(-31/5) assuming m is positive. m**(-1607/182) Simplify (((w/w**1*w)/(w/(w**17/w)*w))/(w**(-1/2)*w/w**(-1/18)))**(1/19) assuming w is positive. w**(130/171) Simplify ((d**(2/5)/(d**(5/9)/d))/(d**(5/6)*d**(-2/25)))**(-2/3) assuming d is positive. d**(-41/675) Simplify ((((f**(2/27)/f)/f*f*f**(-4/5))**(-3/10))**9)**(-29) assuming f is positive. f**(-6757/50) Simplify (z**(-11/4)*z/z**(-2/45)*z**17/z**(-1))**29 assuming z is positive. z**(85057/180) Simplify ((((q*q**(21/2))/(q/(q**38*q*q*q)*q))**(-17))**(5/9))**40 assuming q is positive. q**(-171700/9) Simplify ((c**(-1/4)/c*c**0)/(c**(-2/7))**(28/5))/((c/(c/(c*c**(-3)*c*c))*c/(c*c*c**(2/5)*c*c))/((c/(c/c**(-2)))/c)**(-8)) assuming c is positive. c**(111/4) Simplify ((c*c*c**(-6)*c/(c/(c/(c/(c**11*c))))*(c/c**8)/((c**(-3/5)*c)/c))**(-12))**(-1/21) assuming c is positive. c**(32/35) Simplify (c/(c*(c/c**5)/c)*c**4)/((c/c**(3/7)*c)/c*c*c**(-4))*((c**(1/4))**(-44))**4 assuming c is positive. c**(-228/7) Simplify ((k**(2/3)/k**(-2/3))/((k/(k/((k**4*k)/k)))/k*k/k**(1/2)*k))/((k**(1/4)*k**(-2/15))/(((k**(-1)/k)/k)/k)**(3/10)) assuming k is positive. k**(-269/60) Simplify ((w*(w*w**(2/13))/w)/(w**(2/9)*w)*(w/(w*w/w**(-3)))**24)**(-1/20) assuming w is positive. w**(562/117) Simplify (((m*m/m**16)/m**(-2))/(((m**(1/6)/m)/m)/((m**(-11)/m)/m*m)))**27 assuming m is positive. m**(-1197/2) Simplify ((b/(b*(b*b**(-2/15))/b))/b*b**(2/13)*b*b/b**(1/2)*b*b*b/(b/(b/(((b*b**7)/b)/b))))/((b**(-1))**22*b**(-4/3)*b**5) assuming b is positive. b**(6287/390) Simplify (f/f**5*f**(-6/7)*((f*f**(3/8))/f)/(f**8*f))/((f*(f/f**5)/f*f)**(2/89))**(5/3) assuming f is positive. f**(-66635/4984) Simplify ((u**(5/7)*u/((u*(u**(-21)/u)/u*u*u)/u)*u)/(u**(-4)*u)**(-1/4))**(-2/63) assuming u is positive. u**(-643/882) Simplify (c**38/c*c**(2/25)*c*c*((c**(9/2)*c)/c*c*c)**(1/17))**18 assuming c is positive. c**(301887/425) Simplify (m**(2/7)/m**(-3))**(-1/14)/((m/(m/(m*m**(-1/3)/m*m)))**2*(m**(-1/3)/m)**(-15)) assuming m is positive. m**(-6341/294) Simplify ((l**(-17)/(l/((l**2*l*l)/l*l)))/(l**(2/9)/l)**(-16))**(-11) assuming l is positive. l**(2618/9) Simplify ((z**(-1/4)/(z*z/(z**(3/5)/z)))/(z**(1/4)*z**(-1/9)*z))**(-3/32) assuming z is positive. z**(341/960) Simplify (((x*x**(-2/7))/x*x)**4/(x**1)**(-2/21))/(x**(-1)*x/(x*x/(x*x**(2/5)))*(x**(-1/4))**(3/7)) assuming x is positive. x**(1537/420) Simplify (h/h**(1/7)*h*h**5)/(h**(-7)/h**5)*(h*h/(h*h**(1/2)/h*h)*h/h**(6/11))/(h**(-2/25)*h*h*h/((h*h**0)/h)) assuming h is positive. h**(65033/3850) Simplify (((((p/(p*(p**(2/7)*p)/p*p)*p)/p)/p)**(-1/2)/(p**4/(p**(-2/7)/p)))**(-32))**(1/70) assuming p is positive. p**(464/245) Simplify (b**(2/17))**31/(b**(-2/33)*b*b**32) assuming b is positive. b**(-16433/561) Simplify ((f**(4/7)*(((f*f*f/f**(-4/3))/f)/f)/f)/(f**(-4/7)*(f*f**(1/7)/f)/f))/((f**0)**(3/34)/((f*f**6*f)/f**(1/3))) assuming f is positive. f**11 Simplify (q**(-1/4)*q)**(-6/23)/(q**(-2/5))**(-23)*q**3/q**5*(q*q**(1/3)/q*q)**(-47) assuming q is positive. q**(-51103/690) Simplify (d**(-4)/d**(-2))**(2/35)*(d**(1/3)*d)**5*(d/(d/d**(-1)))/(d**0/d) assuming d is positive. d**(688/105) Simplify (z**(-3)*z)/(z/(z/(z*z**(2/3))))*(z**(4/7)/z)/z**(-1/7)*((z*z/z**(-1/3))**(3/14))**(-1/31) assuming z is positive. z**(-5167/1302) Simplify ((j**(-2))**(1/3)*(j**(6/7))**(-15/2))**(-1/5) assuming j is positive. j**(149/105) Simplify (((f**9*f*f/(f*f/(f*f**(1/14))))**(-8))**(13/5))**(-1/41) assuming f is positive. f**(7332/1435) Simplify (((a**(-5)*a/a**10*a)**(1/17))**(-2/9))**17 assuming a is positive. a**(26/9) Simplify ((n*n*n**1*n**(-8))/(n/(n**(-2)/n))**(-16))/(n**(-5)*n**(-5))**(-36) assuming n is positive. n**(-301) Simplify ((((t*t**(2/63)*t)/t*t**(-18))**(3/16))**(-2/47))**(-16/9) assuming t is positive. t**(-2138/8883) Simplify ((a*a/a**(-1/39)*a**2)/(a*a/(a*a**(4/7))*a/(a/((a/(a/((a/(a*a**(11/6))*a)/a*a)))/a*a*a))))**7 assuming a is positive. a**(1873/78) Simplify ((a*a**1)**10/(a*a/(a*a**(-2/9)/a*a)*a**(-3)))/((a**(-4)*a*a*a**(-1))/(((a/(a*a**(-2/3))*a*a*a)/a)/((a*a**(-6))/a))) assuming a is positive. a**(301/9) Simplify ((x*x*x/(x/(x**7/x*x)))/((x*x**(-1/3))/x))**12*(x**(2/33)*x**0)**(-4) assuming x is positive. x**(3688/33) Simplify ((a*a*a**24*a*a/((a*a**(-1/6))/a))**(-2/79))**41 assuming a is positive. a**(-6929/237) Simplify (p**25)**(2/3)*(p*p*p/p**(-24/13))/(((p*p/p**(-45))/p)/p) assuming p is positive. p**(-916/39) Simplify ((k*k**4)/k)/((k/(k/k**(3/2))*k)/k*k)*(k**1)**(-27)*(k**(-3)/(k/(k/(k**0*k)*k*k)))/((k**(2/7)*k)/k*k*k*k*k*k*k*k**(-5)) assuming k is positive. k**(-403/14) Simplify (s*s**(-1/3)*s/(s*s/s**(-2/5)*s)*((s*s**1)/s)/(s**(4/9)*s))/(s/(s*s/(s**(-2/3)*s)
{ "pile_set_name": "DM Mathematics" }
(-36))/(2/(-8)). Sort w, -5, f in ascending order. -5, w, f Let m = 0.04 + 2.96. Let x = -856/9 + 95. Let j be ((-3)/12)/(33/198). Put x, j, m in descending order. m, x, j Let x = -73 - -76. Let u = -29 - -29. Put u, 0.04, x, 0.3 in descending order. x, 0.3, 0.04, u Let b = -2.28 + 2.28. Put -1, -4, b in ascending order. -4, -1, b Let s = -9 - -6. Let c be (-2 + 0)/(-4)*-2. Put s, c, 3 in decreasing order. 3, c, s Let z be (4 - 2 - -3) + (-296)/(-37). Sort 0, 4, z. 0, 4, z Let m = -0.5203 - 2.4797. Let o = -0.8 - -1. Suppose -2*w + 5*w - 3 = 0. Put w, m, o in decreasing order. w, o, m Suppose -6*h = -14*h + 64. Let p be 4/h*(3 + -11). Let q be (-1)/(-4) + 2/(-8). Put 3, q, p in descending order. 3, q, p Suppose -y - 3*v + 6 = 10, -8 = 2*y - 3*v. Suppose w = 4*r + 2*w + 4, -3 = 3*r + 2*w. Sort 5, y, r in decreasing order. 5, r, y Let g(p) = 2*p**3 + 2*p**2 + p + 3. Let o be g(-2). Let z = 4 - 2. Suppose 2*a + 18 = -3*m, -6 - 8 = 2*m + z*a. Put m, -3, o in decreasing order. -3, m, o Suppose 0 = 4*s - 4*y - 10 + 2, -3*s + 12 = -5*y. Put -21/17, s, -0.3 in increasing order. -21/17, s, -0.3 Let m = 123 + -66. Let l = -47 + m. Sort l, -1, -2 in decreasing order. l, -1, -2 Suppose p - 5*p + 80 = 0. Suppose -10 = -18*s + p*s. Let j(w) = 3*w**2 + w + 1. Let c be j(-1). Sort s, 1, c in descending order. c, 1, s Let k be 250/90 + -8 + 5. Put 0.7, 21, k in ascending order. k, 0.7, 21 Let c = -56 - -101. Put -1, 5, c in decreasing order. c, 5, -1 Let k(j) = -j**2 - 15*j + 358. Let z be k(-28). Sort -2, z, 3, -1 in ascending order. z, -2, -1, 3 Let k be 2/(-7) + (-23)/(-7). Let x = 916 - 917. Put 5, k, x in descending order. 5, k, x Let f = 5.7 + -6. Let p(h) = -h**3 + 6*h**2 + 8*h - 4. Let t be p(7). Let j be 2/6 + 48/(-90). Put t, f, j in decreasing order. t, j, f Let f = 12 - 11. Let b(m) = -8*m**2 + 15*m + 5. Let s(c) = -7*c**2 + 14*c + 5. Let k(j) = -6*b(j) + 7*s(j). Let i be k(8). Sort -4, i, f in ascending order. -4, f, i Suppose 2*o + 16 = m, -o = -5*m - 2*o + 25. Suppose 0 = 3*y + 4*n - m - 19, 0 = 4*y + 4*n - 28. Sort 2, -2, y in descending order. y, 2, -2 Let w = -2 + 22. Suppose 4*h - w = 9*h. Let r = 526.7 - 527. Sort 0.01, r, h. h, r, 0.01 Let i = -3 - -5. Let d = -3502 - -3502. Put -5, d, i in ascending order. -5, d, i Let a = 34.584 + 2.416. Put a, -1/4, -2/7, -2/13 in descending order. a, -2/13, -1/4, -2/7 Let c = 2.06 - 0.06. Let z = -0.11 + 0.36. Let d = 0.25 - z. Sort c, 1/3, d in decreasing order. c, 1/3, d Let v = -1405 - -1407. Put 0, 5, v in ascending order. 0, v, 5 Suppose 4*f - 49 = 5*z - 14, -3*f + 24 = -3*z. Put -14, z, 2 in decreasing order. 2, z, -14 Let j = -4012/25909 - -2/1993. Put -6/11, -5, j, 2 in descending order. 2, j, -6/11, -5 Let i be 5/5 + 1 + -2. Let c be 30/10*4/6. Suppose -d + 9 = c*a + a, d + 5*a = 13. Put d, -2, i in descending order. d, i, -2 Suppose -227 = -6*v + 199. Let u = v + -75. Sort -15, -5, 1, u in increasing order. -15, -5, u, 1 Let t be ((-40)/15 + 1)*-3. Suppose t*y - y + 4 = 0. Let x be 1/(-6) + (-2)/(-3). Sort 4, y, x in decreasing order. 4, x, y Let v be -2 + 3 + -1 - -2. Let k be -3 - (-3 - 4) - 2. Suppose a - 1 = k*o - 0*o, -2*o = v*a + 16. Sort o, 0.2, -4 in ascending order. -4, o, 0.2 Let c = 160 + -48. Suppose 9*w - w - c = 0. Sort 0, 5, w in ascending order. 0, 5, w Let t(s) = -s**2 + 3*s + 12. Let c be t(5). Suppose 4*p - 16 = m + 4*m, 0 = -c*p - 4*m + 8. Put 5, 10, p, -5 in descending order. 10, 5, p, -5 Let c = 8 - 3. Let f = 0.39735 + 0.00265. Let k = -351/8 - -44. Sort c, f, k in increasing order. k, f, c Let x(v) = -v**2 - 22*v + 66. Let z be x(3). Put -0.5, z, -2, -3 in decreasing order. -0.5, -2, -3, z Let l = 12.9 - 9.9. Let q = 21 + -21.5. Sort q, l, -0.1, -0.3 in ascending order. q, -0.3, -0.1, l Let j(s) = -s**2 + 6*s - 3. Let q be j(4). Suppose -2*i + 10 = 3*i - q*g, 4*g = 0. Sort -8, 5, i. -8, i, 5 Let h = 6.3 + -1.3. Let o = -216 + 216. Put h, -0.5, 1/3, o in descending order. h, 1/3, o, -0.5 Suppose -5*f = -2*j - 10, -2*j + 2*f + 1 = 5. Let m be (-2)/(0 + 2)*-2. Put -2, j, m in descending order. m, j, -2 Let q = 0.225 - 0.325. Sort q, 0.5, 5, -0.7. -0.7, q, 0.5, 5 Let u(l) = -l**3 - 3*l**2 + 2*l - 2. Let m be u(-4). Suppose 1 = o + m. Put 0, -2, o in descending order. 0, -2, o Let l = 2/2499 - 716/2499. Suppose z + 4 = 2*z. Suppose 4*j - 3*f = 7, z*f = -2*j + 5*j. Sort 1/5, j, l in ascending order. l, 1/5, j Let i = -0.05 + -0.95. Let j = 10 + i. Let l = 10 - j. Put 1/2, l, -3 in decreasing order. l, 1/2, -3 Suppose 45 = -t - 44*t. Put -5, 18, t in decreasing order. 18, t, -5 Let g = 674 + -636. Sort -5, -4, g in decreasing order. g, -4, -5 Suppose 3*q - 8 - 1 = 0. Suppose -6*n = n + 28. Put n, 0, 1, q in decreasing order. q, 1, 0, n Let t be (-2)/(-10) - (-374)/55. Suppose 4*n - t = -3. Put n, 0, 10, -2 in descending order. 10, n, 0, -2 Suppose -67*u = -60*u - 35. Put -1, u, -5, -4 in decreasing order. u, -1, -4, -5 Suppose 5*j = -2*u + 62, 8 = -5*j + 3*u + 90. Suppose 2 = -3*a - 2*h + j, 0 = -5*a + h + 20. Put -5, a, 5 in descending order. 5, a, -5 Let c = -0.83 + 1.41. Let k = -1.58 + c. Sort -0.2, 0.4, k in decreasing order. 0.4, -0.2, k Let u be ((-9)/(-12))/((-7)/(-644)). Sort 3, u, -4, 5 in increasing order. -4, 3, 5, u Suppose 3 = -4*a - j, 4 = a + 5*j + 19. Suppose 3*y = -4*k - 12, -k = 2*y + 2*y + 16. Sort -1, 1, a, y. y, -1, a, 1 Let u be -3*((-2)/(-6) - -1). Let m = -10853 + 10847. Put -3, m, u in decreasing order. -3, u, m Let i = -2698 - -18890/7. Sort -0.3, i, -375 in ascending order. -375, -0.3, i Let v be 6/(-15) + 24/10. Let u(r) be the third derivative of -r**4/4 + 29*r**3/3 + 6*r**2. Let p be u(9). Sort p, 0, v in ascending order. 0, v, p Let t be (20/(-7) - -3)*(-2 + -1232). Let n = -176 - t. Put n, 1/4, -2/3 in ascending order. -2/3, 1/4, n Let v = -132.08 + 137. Let b = -0.08 - v. Let s = -19 - -13. Sort s, b, -1/7 in descending order. -1/7, b, s Let t = -1282 - -1270. Suppose 0 = 3*m - 4*w - 0*w - 7, 3*w + 12 = 0. Put 2, -1, m, t in decreasing order. 2, -1, m, t Let j(y) = 2*y + 5. Let l be j(-1). Suppose 2*b - 90 = -5*f - 3*b, -5*f + l*b = -58. Let g = -1.99 - 0.01. Sort -0.4, g, f in ascending order. g, -0.4, f Let b = 0.03 - 83.03. Let h = -83.4 - b. Sort h, -1/2, -2/73 in ascending order. -1/2, h, -2/73 Let w = -35 - -38. Suppose w*j = c - 2, j - 26 = -6*c + c. Sort j, -5, -12, 4 in decreasing order. 4, j, -5, -12 Suppose -41*z = -226 + 718. Sort -0.4, 4, z in ascending order. z, -0.4, 4 Let k = -53.2142 - -0.2142. Sort 0.5, -0.05, k. k, -0.05, 0.5 Suppose -27*c = 4*q - 24*c + 7, 5*q - c - 15 = 0. Put -5, q, 7, 5 in ascending order. -5, q, 5, 7 Let x = -0.08 + 0.68. Let f = -45.41 + 47.4. Let r = -0.99 + f. Put x, r, 2/17 in ascending order. 2/17, x, r Let j = 13.84 - 13.34. Put j, 5, 1/7, 2/15 in decreasing order. 5, j, 1/7, 2/15 Suppose -4*h + 13 = -0*h + 3*o, 5*o = h + 14. Suppose 8*g = 4*g - 72. Let a be 4*h + g/6. Sort a, -1, -2 in ascending order. -2, -1, a Let a = 1.1 + -0.1. Let r = -13.13 - -13. Let m = 0.17 + r. Sort a, 4, m. m, a, 4 Let g = 3.77 - -0.03. Let i = -0.51 - -1.31. Let f = g - i. Put -0.2, 1.1, f in descending order. f, 1.1, -0.2 Let y = -531 - -574. Sort -1/2, -1/5, y in increasing order. -1/2, -1/5, y Suppose -5*m = 42*h - 43*h - 53, 0 = 3*m - h - 31. Put 0, -14, m, -1 in descending order. m, 0, -1, -14 Suppose p + 2 = 6. Put 2, -4, p, 5 in ascending order. -4, 2, p, 5 Let v = 80 + -81.68. Let c = 0.32 - v. Put 3, c, 1/16 in ascending order. 1/16, c, 3 Let b be (-6 - (-1 + -4))*(-12)/(-128). Sort b, -3, -0.2 in ascending order. -3, -0.2, b Let q be 5/(-2)*12/(-10). Suppose -4*k = j + 3, k + q = 1. Sort -1, j, 0, 1 in ascending order. -1, 0, 1, j Let l = 151 + -151.1. Let o = 8 - 5. Put o, l, 4 in descending order. 4, o, l Let d = -9 - -11. Let n = 4.983 - -0.017. Let t = -6 + n. Put -0.1, t, d in decreasing order. d, -0.1, t Let k = 39.971 - 39.8. Put 0.4, 5, k in ascending order. k, 0.4, 5 Let z = 1658 + -1656. Let b(g) = -g**2 + g + 1. Let h(a) = a**3 + 5*a**2 - 6*a. Let k(x) = 5*b(x) + h(x). Let p be k(0). Sort -5, z, p in increasing order. -5, z, p Let s(n) = n**2 + 10*n + 12. Let h be s(-10). Let v(d) = -d**3 + 12*d**2 - d + 10. Let u be v(h). Sort -3, u, -0.3 in descending order. -0.3, u, -3 Let b = -1002 - -10
{ "pile_set_name": "DM Mathematics" }
00. 188 Suppose 19*h = 8*h - 11. Let n be (7/(-7))/((-1)/40*h). What is the remainder when 181 is divided by (736/n)/(2 - 12/5)? 43 Suppose -20*i = -753 - 27. Suppose c = 57 - i. Calculate the remainder when 105 is divided by c. 15 Let d(l) = -29*l + 255. Let t be d(7). Suppose -51*u - 35 = -t*u. Calculate the remainder when u is divided by 7. 0 Suppose 0 = -53*x + 49*x - 200. Let t be (-4 - -1)/(-6*(-5)/x). Suppose -s = -v + 40, v + s - 35 + t = 0. Calculate the remainder when v is divided by 9. 8 Let w(t) = t**3 - 2*t**2 + 5*t. Let i be w(4). Suppose 15*f = 291 - 441. Let b = f + i. Calculate the remainder when b is divided by 22. 20 Let b be 6*5/(-60)*2/(-1). Calculate the remainder when 138 is divided by ((-18)/3)/(b/(-7)). 12 Let j = -4121 - -4144. Suppose 4*d - 2 = 2. Calculate the remainder when j is divided by d. 0 Let c be (-25)/5*(-2)/5. Suppose c*i - p - 21 = 0, 5*i - 2*i - 4*p = 29. What is the remainder when -3*((-22)/3 - -5) + 13 is divided by i? 9 Let y = 3802 + -3733. What is the remainder when 413 is divided by y? 68 Let w = -2733 - -2876. Calculate the remainder when 1136 is divided by w. 135 Suppose -4*c + 2*m = -7*c + 3080, -4*c - m = -4115. Calculate the remainder when c is divided by 9. 4 Suppose 3*i + i + 8 = 5*g, 0 = 3*g - 4*i. Suppose g*t - 363 = 753. Suppose 0*u + 9*u = t. Calculate the remainder when u is divided by 18. 13 Suppose 0 = -50*m + 1799 + 1601. What is the remainder when 2031 is divided by m? 59 Let z = -101 - -153. Let v = 221 - z. Suppose -n - 170 = -6*n. What is the remainder when v is divided by n? 33 Suppose -5*n - f - 953 + 3016 = 0, 0 = 4*n + 4*f - 1644. What is the remainder when n is divided by 112? 77 Let f(a) = 14*a**2 - 5*a - 149. Calculate the remainder when 482 is divided by f(-4). 7 Suppose 4*p = 3*t + p - 177, -2*p = 4*t - 218. Calculate the remainder when -1*1*(-226 - -3) is divided by t. 55 Suppose 8*p = -340 + 380. Suppose 2*k + p*s - 121 = 0, -4*k - 5*s + 234 = -3*s. Calculate the remainder when k is divided by 1 + (-1)/1 - -31. 27 Let a = -11238 + 11400. Calculate the remainder when a is divided by 51. 9 Suppose -98*h + 1709 + 2139 - 222 = 0. What is the remainder when h is divided by 37? 0 Let r be 0/(5/(-5)) - 0. Suppose -5*b + 25 = 3*f, r = f - 3*f. Suppose 20 = 5*w - 0*w, 3*c + b*w = 68. Calculate the remainder when 59 is divided by c. 11 Suppose 0 = o + 3*b - 25, 4 = 2*o - b - 53. Let u = 6 + 11. Let w = u + 64. What is the remainder when w is divided by o? 25 Let u(g) = 31*g**2 + 6*g + 24. Let c = -140 - -137. What is the remainder when u(c) is divided by 32? 29 Let f(k) be the second derivative of 17*k**3/3 - 101*k**2/2 + 4*k + 19. What is the remainder when f(4) is divided by 21? 14 Suppose 43*d - 184885 + 48842 = 78570. What is the remainder when d is divided by 11? 8 Suppose 815 = 28*z + 31. Calculate the remainder when 257 is divided by z. 5 Let c = -1318 + 1337. Let y(k) be the third derivative of k**5/20 + k**4/12 - 2*k**3/3 - 3*k**2. What is the remainder when y(-4) is divided by c? 17 Calculate the remainder when 294 is divided by -16 - (6 + -23 - 147). 146 Let q(y) = 144*y - 1171. What is the remainder when q(25) is divided by 45? 44 Let h(u) = 12*u**2 - 53*u - 284. Calculate the remainder when h(14) is divided by 49. 3 Let f(a) = a**3 - 5*a**2 - 3*a - 64. What is the remainder when 16690 is divided by f(7)? 11 Suppose -z + 39 = -31. Calculate the remainder when z is divided by 2*19*3/6. 13 Let g = 53825 + -53782. Suppose 0 = -7*w + 2*w - 2*b + 827, 0 = 5*w + 3*b - 823. Calculate the remainder when w is divided by g. 38 Suppose -12*z = -43 - 5. Suppose 5*g + z*r = 144, 5*g + 2*r = -r + 143. Calculate the remainder when 83 is divided by g. 27 Let g(w) = w**2 + 14*w - 11. Let n be 628/3 + 8/12. Calculate the remainder when g(-18) is divided by 5/2*n/25. 19 Suppose 5*u - 294 = -0*u + 4*f, u = -4*f + 78. Let v(k) = k**3 + 4*k. Let y be v(3). Suppose -41*s = -y*s - u. What is the remainder when 59 is divided by s? 28 Suppose -3*o - 9 = -5*g - 47, 0 = 5*o + 5*g - 90. Let y = -161 + 161. Calculate the remainder when 48 + 13 - (-3)/6*y is divided by o. 13 Let w = 26 - 130. What is the remainder when 129 is divided by (45/(-180))/(2/w)? 12 Suppose 0 = 5*b - 0*b + 325. Let v = 102 + b. Let p = -1566 + 1580. Calculate the remainder when v is divided by p. 9 Suppose -39 = -d - 2*g - 0*g, -99 = -3*d + 3*g. Let h = 520 - 385. Calculate the remainder when h is divided by d. 30 Let a(l) be the third derivative of l**5/20 + 25*l**4/12 + 2*l**3 + 4*l**2. What is the remainder when 131 is divided by a(-17)? 15 Let s be 1/6 - (-142)/12. Let i be 2*(s/4)/(-6). Calculate the remainder when 216/(i + 3) - 3 is divided by 27. 24 Calculate the remainder when (-2274)/(-30) + 1/5 is divided by 464/(-116)*-4*(2 - 1). 12 Suppose -16 = -4*h + n + 4, 3*n = -12. Let f(x) = -x + 8. Let r be f(3). Suppose 0 = -r*z - 10 + 55. What is the remainder when z is divided by h? 1 Let h(s) = 10*s**2 - 267*s - 796. What is the remainder when h(-3) is divided by 45? 5 Let m be ((-42)/(-66))/(-7) + (-815)/(-11). Suppose -m*s = -70*s - 872. Calculate the remainder when s is divided by 55. 53 Suppose -3*l = -4*h - 92, 27 = l + 3*h - 8. Calculate the remainder when 7 - (-1830)/10*1 is divided by l. 30 Let z(t) be the first derivative of 5*t**3/3 - 11*t**2/2 - 39*t - 94. Calculate the remainder when z(-3) is divided by 7. 4 Let i = -11706 - -11721. What is the remainder when 1062 is divided by i? 12 Suppose -5*d + 184 - 85 = -2*c, -c = 5*d - 123. What is the remainder when 1729 is divided by d? 4 Let l(o) = -23*o + 59. Let s be l(-9). Suppose -3*p = 16*p - s. Calculate the remainder when 572 is divided by p. 12 Let r = 92 - 89. Suppose -3*w + r*y = -96, -4*w + 88 = y - 20. Suppose -22*a = -w*a + 180. What is the remainder when 53 is divided by a? 23 Calculate the remainder when -206*-20*11/88 is divided by 65. 60 Suppose r - 42 = 84. Let p = r + -41. Suppose p*m = 84*m + 6. What is the remainder when 26 is divided by m? 2 Let k = 4707 + -4674. Calculate the remainder when 1381 is divided by k. 28 Let s = -161 - -191. Let t be 0/1*8/(-16). Suppose -c + 6 + 3 = t. What is the remainder when s is divided by c? 3 Suppose -3*d = 15, -n + 64 = -2*d + 34. What is the remainder when 406 is divided by n? 6 Let g = -288 - -292. Suppose 2*q = 4*h - 140, 2*q + 138 = g*h - q. Calculate the remainder when 69 is divided by h. 33 Let n = -67 - -70. Suppose -b = -5*y + 5, -8*b + 3*b = -n*y + 25. Suppose -7*z - 14 + 203 = y. What is the remainder when 78 is divided by z? 24 Let i = 27517 - 22632. What is the remainder when i is divided by 153? 142 Let r be 18 + (-7 + 3 - -7). Suppose -6 + r = 3*f. Calculate the remainder when 204 is divided by f. 4 Suppose o - 23*q = -27*q + 307, o = -3*q + 310. Calculate the remainder when o is divided by 88. 55 Suppose -11108 = -21*l + 10*l - 5*z, 0 = 5*l + z - 5044. What is the remainder when l is divided by 336? 0 Let c = 138 - 114. Suppose 7*q = c + 18. Suppose j + 131 = q*j - g, j - 43 = -4*g. Calculate the remainder when j is divided by 4. 3 Let k be (-8)/(-48) - 2/12 - -4. Suppose 2*a + 2 = 0, 0 = -0*n + 5*n + k*a - 131. What is the remainder when 133 is divided by n? 25 Let v = -136 - -240. Let m = v + -74. What is the remainder when 22 is divided by m/6*9/5? 4 Suppose -373 = 64*v - 5045. Suppose 0 = -3*u + 38 + 55. What is the remainder when v is divided by u? 11 Suppose 0 = -5*i - 5, -4*n + 91 = 4*i - 269. Suppose -2*h = -n - 121. Calculate the remainder when h is divided by 12. 10 Suppose 2868 - 3282 = -123*f + 3645. Suppose 10*i - 1164 = 4*i. What is the remainder when i is divided by f? 29 Let b = -214 + 218. Let c(k) = 84*k - 15. What is the remainder when c(b) is divided by 12? 9 Calculate the remainder when (4 - (-16656)/(-32))*-2 is divided by 65. 58 Let h(y) be the first derivative of -y**4/2 + 4*y**3/3 + 4*y**2 + 10*y + 44. What is the remainder when h(-3) is divided by (-4 - 2)/((-6)/16)? 12 Suppose -4827 = -10*s + 3273. Suppose 11*m - s = m. What is the remainder when 321 is divided by m? 78 Suppose -3*m = 3*f - 60, 67*m - 68*m - 4 = -3*f. Calculate the remainder when 2 - ((-1)/(-1) + -50) is divided by m. 9 Suppose 3*n = -0*n + 54. Let w(d) = d**3 + 6*d**2 - 6*d. Let s be w(4)
{ "pile_set_name": "DM Mathematics" }
9 Let p = -10749184/245 - -43874. Let y = 1/49 + p. Suppose 4*h = -0*h. Which is the closest to -3/5? (a) h (b) 3/5 (c) y c Let u = -1.43 - -27.43. What is the closest to 1 in -1, u, -4? -1 Let y be 14062/44240 - (-6)/105. Let r be ((-2)/(-20))/((-2)/4). What is the nearest to 0.2 in r, -2/3, 2/5, y? y Let l = -165.576 - -165.176. Let i = 1 - 0.9. Which is the nearest to i? (a) -1.9 (b) l (c) 2 b Let k = 1091 - 630. Let s = k + -454. Which is the nearest to 1? (a) -1 (b) 4 (c) s a Let y = 123 - 128. Let s = 0.0316 - 4.0316. What is the closest to -0.15 in -1/5, y, s? -1/5 Let a be ((-11)/(-22))/(-6*(-4)/(-1440)). Let d be (3/(-8))/(3/12). What is the closest to d in a, 2, 3? 2 Let t = -5775 + 5773. What is the closest to -1 in -1, -21/5, t, 0.04? -1 Let s be (-21)/(-144) + 3/(-9). Suppose 114 = -32*k + 70*k. Which is the nearest to 0.2? (a) 0.3 (b) k (c) s a Let t = 86.77 + -1.77. Let n = -124 + t. Let k = 40 + n. Which is the nearest to -1? (a) 0.1 (b) -2/3 (c) k b Let o = 0 + -0.3. Let l = 390 + -390. What is the nearest to -1/3 in 22, l, o? o Suppose 2*t - t = -5. Let s(g) = g**2 - 11*g - 104. Let c be s(15). Let o be -1 - -1 - c/110. What is the closest to 0.5 in t, o, 0.2? o Let j = 21398 + -192578/9. What is the closest to -0.2 in 5/4, 14, -11, j? j Let x = -176.1 + 176.5. Let o(f) = -2*f - 4. Let v be o(-1). What is the nearest to v in x, 3, 0.2? 0.2 Let y = -4195 + 4193. What is the nearest to 1 in -0.5, 0, y? 0 Let o = -4.13 + 5.5. Let m = 5.37 - o. Let x be ((-3)/15)/((-1)/(-2)). Which is the nearest to 2? (a) 2 (b) m (c) x a Let h(i) = -2*i**3 + 41*i**2 + 25*i - 40. Let y be h(21). Let u be (-363)/y - (-1 + -7). What is the closest to -1 in 0, u, 111? u Let u = 458.2 + -460.2. What is the nearest to -84 in u, 2/13, 3? u Let w = 6367 + -6370. Suppose u + 3 = 4*u. Let x = 422/5 + -84. What is the nearest to -1/2 in u, x, w? x Suppose 4*s = 3*x - 550, -x - x = -s - 365. Let h = x + -118. Let t = h - 834/13. Which is the nearest to -1? (a) -4/9 (b) t (c) 5 a Let q = -1551.2 + 1552.3. What is the nearest to 0.2 in -0.8, 5, q? q Suppose -4*s + 47 = -w, 46 = 4*s - 0*w - 2*w. Let z be -1 + 0 + -2 - (-40)/s. Let x = 2774/11 + -252. What is the closest to z in 0.1, x, 1? x Let z be (19/(-76))/(((-110)/16)/(-5)). Let i = -0.59 - 2.41. Let p be (1/3)/(2/(-4)). Which is the nearest to p? (a) i (b) -2/3 (c) z b Let i = 1337 + -1340. Let y = -239 - -222. Which is the closest to 0? (a) y (b) 0.2 (c) 0.1 (d) i c Let p = -7666 - -7668. Which is the closest to 2/7? (a) 1 (b) p (c) -0.26 c Let h be 18 + (-14 - 0) + 48/(-15). Suppose 6*v = -0*v. Which is the nearest to h? (a) 6/11 (b) -1 (c) v (d) 1 d Let m be ((-3)/(-4))/((-6)/(-4)). Let s = 262 - 1837/7. Let y = 153/338 + 177/169. Which is the nearest to y? (a) m (b) s (c) -2/3 a Let i = 1062 + -1079. Which is the closest to -1/2? (a) i (b) -0.3 (c) 4 (d) -4 b Suppose 3*d + 0*d = -4*d - 7. Let j = -3 + 0. Let z be (3/(-2))/(1*-3). Which is the nearest to z? (a) d (b) 3 (c) j a Let l = 260 - 288.8. Let k = -29 - l. Let z = -27 - -27.02. What is the closest to z in 2, k, -0.3? k Let y be (6/4)/((-5589)/828). What is the nearest to y in 0.6, 2, -2/11? -2/11 Let w = 0.2 + 0.3. Let b(p) = 37*p - 557. Let g be b(15). Suppose 0 = 8*f + 16 - 56. What is the closest to g in w, 2, f? w Let k = -16.9 - -8.9. Let d = k + -17. Let p = d - -21. What is the closest to -0.2 in p, 0.2, 2/9? 0.2 Let v = -41 + 59. Let p = v - 18.05. Let j = -1197 - -1196.5. Which is the nearest to -0.1? (a) j (b) -4 (c) p c Let m = -711 - -716. Let u be ((1 - 17)/(-4) - m)/1. Which is the closest to -0.2? (a) u (b) 27 (c) -0.5 c Let r be 2 - -1 - ((22 - 21) + (-48)/(-21)). What is the nearest to 0 in -0.2, 11.6, 0.5, r? -0.2 Let j = 0.9915 + -0.6915. Let f be 85/35 + -1*3. Which is the closest to -1? (a) 2 (b) f (c) j (d) 0.1 b Let b = 78 + -78.096. Let p = b - -0.19. Let m = -0.594 + p. What is the nearest to 0 in -0.4, -0.02, m? -0.02 Let d = -0.1 - -0.2. Let o = 0.1 + d. Let q = 313717 - 941153/3. What is the closest to q in o, 14, 4? o Let l = -5747161/8 - -719409. Let t = l + -1014. Which is the nearest to -0.1? (a) t (b) -0.3 (c) 2 (d) -0.1 d Let l = -0.0301 - 0.9699. Let i = -0.05 - 0.55. Let k = i + 1.1. Which is the nearest to l? (a) k (b) -5 (c) 0.2 c Let h be -17 + 16 - (-6)/2. Let y = -0.2 - -0.3. Suppose -5*a = 5*f + 40, 6*a - 3*a = -f - 16. What is the closest to y in h, f, 5? h Let d = -24 - -29. Let o be 10/12 + (-4)/(4/1). Let g = 80 + -79. What is the closest to 1 in g, o, d? g Let d = 0.598 - 0.198. Let r be ((-6)/15*4)/((-112)/40). What is the closest to -1 in 3/16, r, d? 3/16 Suppose 0 = -4*n + 4, -3*w - 5 = -w + 5*n. Let s(x) = -7 - 15 + 8 - 8*x. Let q be s(-2). Which is the closest to 0? (a) 2/11 (b) q (c) w a Let p = 9 + -4. Let z = -38 - -37.474. Let l = z - -0.426. Which is the nearest to l? (a) 0.1 (b) p (c) -5 a Let t = -43 - -43.82. Let x = -3.7 + 4.22. Let m = t - x. Which is the closest to 2/7? (a) -5 (b) 1 (c) m c Let m = 79/45 - 14/9. Let u be (-1436)/(-7898) - (-18)/143. What is the nearest to 0 in u, 0.3, m? m Let d be (-5)/25 - 3/(-6). Let k = 1/70 - d. What is the closest to 4/9 in -4, k, -1? k Let v = 62059 - 186178/3. Suppose -5*w = -2*x + 7*x + 240, 4*x = -3*w - 195. Which is the closest to x? (a) -3 (b) 2 (c) v (d) 0.3 a Let s = 101.77 + -102. Let l = s + 0.73. Suppose -2*x - 2 + 0 = 0. What is the closest to 0 in 0.1, x, l? 0.1 Suppose -3*m - 5*g + 36 = 0, -8091*m + 8093*m + g = 10. Suppose -2*s + 12 = -5*s. What is the nearest to m in 0.5, s, 0.2? 0.5 Suppose -2*k + 2152 = 4*u, -3*k + 1226 = 3*u - 382. Let y = u - 536. Which is the nearest to 0? (a) -0.2 (b) 2/13 (c) 1/2 (d) y b Let t = 1654 - 1657. Let h = -302/153 + 26/17. Let r = -3.1 - -3. What is the closest to r in 0.1, t, h? 0.1 Let q be (-7)/14 + (-5)/2. Let s = -44096/63 - -6302/9. What is the nearest to s in 5, 1/5, q? 1/5 Let l = -43 + 10. Let o = 32.8 + l. What is the nearest to -0.1 in o, 1.6, -2? o Let d = -217.3 + 236.3. What is the closest to -0.3 in d, -3/7, 2? -3/7 Let i = 12299/61470 - 1/12294. What is the closest to i in 2, -5, 7? 2 Suppose 0 = -4*l - 21 - 7. Suppose 695 = -2*y - 6*y - 131*y. Which is the closest to -4? (a) y (b) l (c) 4 a Let u = 330.6 - 148.54. Let o = 182 - u. Suppose 0 = -0*f - 2*f - 8. What is the nearest to o in f, -2, 0.3? 0.3 Let p = 226.8752 - 227. Let i = p + 0.0248. Let o(t) = -3*t + 3. Let g be o(2). What is the closest to i in 0.3, g, 3? 0.3 Let j = 0.036 - -1.964. Let k be ((-104)/39 + 0)*(-18)/40. What is the closest to j in k, -4, -2? k Suppose -4*b - 3 = -3*b - 5. What is the nearest to 0.1 in 0.18, -3/7, 1.4, b? 0.18 Let j = 393.1 - 393. Let f = -0.0452 + -3.9548. What is the nearest to j in -2/11, f, -0.025, 0.1? 0.1 Let l = -3.063 + 8.063. Which is the closest to -1? (a) 7 (b) l (c) 2 c Let d = -3725 - -3725.02. What is the nearest to -6 in d, -4, 1.7? -4 Let u = -153 - -159. Suppose -16 = u*b + 38. Let d(o) = o**3 + o**2 - 2*o - 1. Let f be d(-2). What is the nearest to f in b, -4, 4? -4 Let m(l) = l**3 - 9*l**2 + 5*l - 6. Let j be m(8). Let c be (j/(-9) - 1) + -2. Let d = 1909/2 + -955. What is the closest to d in c, 0.2, 2/71? 2/71 Let h(y) = y**2 - 19*y + 35. Let c be h(17). Let r = -2.96 - 227.04. Let q = -233 - r. What is the closest to c in q, 0.3, -1/7? 0.3 Let x = 18759 - 18758.8. Which is the nearest to -453/4? (a) x (b) 3 (c) -2/3 (d) -0.4 c Let k = 155.7 + -168. Let z = 11.3 + k. Which is the nearest to z? (a) -2 (b) 5 (c) 0.3 a Let o = -72 + 73. Let f = -3.4 - -0.4. Let d be (-5)/(-2)*(-66)/110. What is the nearest to 0.19 in d, o, f? o Let z = 0.1 - 0. Let l = 0.3 - z. Let t be (-4484)/(-885) + 28/(-6). Which is the nearest to t? (a) l (b) 5 (c) -3 a Let w = -9307/15 - -621. What is the closest to 0.1 in -2/9, -5, w, -2/15? -2/15 Let t = 607 - 1822/3. What is the closest to 1 in -21, 25, 3, t? t Suppose 0 = -7*v + 2*v + 20. Suppose 545*d - 534*d = -33. Let p = -2 - -4. Which is the closest to p? (a) d (b) v (c) -1 b Let y be (6/18)/((-1827)/(-2349)). Let l = 3 + -2.6. Which is the closest to 0.4? (a) l (b) -2 (c) y (d) -4 a Let d = -3.306 - -3.506. Which is the closest
{ "pile_set_name": "DM Mathematics" }
be 1 - (2 - (-120)/i). Let z = p + -17. Does 11 divide z? True Let l(w) be the first derivative of 109*w**3/3 + w**2/2 - 4. Let a be l(1). Suppose -2*r = 10, 3*r = 5*y + 6*r - a. Does 11 divide y? False Let q be (18/45)/((-1)/(-5)). Suppose 6*b - 80 = q*b. Is b a multiple of 10? True Suppose 0 = 2*j - 5*j + 132. Does 14 divide j? False Suppose 0 = 5*u - 3*p - 94, 7*p - 3*p + 97 = 5*u. Suppose 5*j = -3*y + 85, -j - y + u = -4*y. Is 17 a factor of j? True Let j(s) = 2*s - 7. Is j(9) a multiple of 2? False Let a(s) = -s**2 - s + 32. Suppose 0 = -p - 3*g + 3, 4*p + 3 = -2*g + 5. Does 23 divide a(p)? False Suppose -g = -26 - 10. Let f(c) = 5*c + 8. Let q be f(-6). Let j = q + g. Is 7 a factor of j? True Suppose 4*l + 31 = 3*i, -2*i = -l - 5 - 9. Is 8 a factor of (-195)/(-25) + 1/i? True Let w = 26 - -6. Is w a multiple of 8? True Does 4 divide (7/((-28)/(-32)))/2? True Suppose 0*h = 3*h. Suppose h = -3*k + 2*k + 6. Suppose 36 = -k*n + 10*n. Is 4 a factor of n? False Let f be 36/((15/(-4))/(-5)). Suppose -5*s = -2*s - f. Suppose m = s - 0. Does 16 divide m? True Does 8 divide (16/(-3))/(24/(-108))? True Let b(c) = 2*c**2 - 7*c - 12. Is 15 a factor of b(-7)? True Let h = 35 - 12. Does 3 divide h? False Is 15 a factor of (-1084)/(-24) + (-2)/12? True Let b = -8 + 10. Let d = b + 11. Does 6 divide d? False Let p be -3 - ((-48)/18 + 1/(-3)). Let y(c) = -c**2 + 7*c + 5. Let f be y(7). Suppose -r - f = -4*t - 37, 4*r + 3*t - 166 = p. Does 11 divide r? False Suppose 3*u = u + 174. Is 22 a factor of u? False Let a = 42 - 22. Is a a multiple of 17? False Let u(b) = b**3 + 5*b**2 + b + 1. Let w be u(-5). Let r be (-619)/w + 2/8. Suppose -r = -4*s - 51. Does 13 divide s? True Let j(v) = v + 9. Let o be j(-6). Does 19 divide 58/o + (-3)/9? True Let g(j) = -4*j**2 + 4*j + 3. Let r be g(5). Is 3/6 - r/2 a multiple of 17? False Suppose 0 = -2*r - 8, d - 5*d + 4*r + 208 = 0. Does 12 divide d? True Suppose -595 = -5*j + 2*o, -2*j + 132 = -o - 107. Does 10 divide j? False Suppose -5*h - 5 = -10*h. Let f = h - -10. Is f a multiple of 7? False Let r(q) = -8*q. Let y be r(-1). Let l(o) = 6*o - 14. Is l(y) a multiple of 8? False Suppose q - 1 - 53 = 0. Is 7 a factor of q? False Let u(l) = -3*l - 2. Let z be u(-3). Let h = z - -11. Suppose -h = -w - 0*w. Is 18 a factor of w? True Let b = -117 + 171. Suppose -7*o + 4*o = -b. Is o a multiple of 5? False Let q be -1*(-9 + (-1 - -2)). Suppose -3*g + 7 = -q. Suppose -g*d = -7*d + 64. Is 13 a factor of d? False Let c be 5/(-10) - 9/(-2). Let p be (2/c)/((-1)/(-22)). Suppose -u = -p - 0. Does 11 divide u? True Let y(x) = -x**2 + x + 71. Let m be y(0). Suppose -37 = -4*f + m. Is f a multiple of 9? True Let m = 2 + 0. Suppose 21 = -2*t + 141. Suppose -5*c + 5*d = -t, 2*c - 3*d = -m*c + 48. Is c a multiple of 4? True Suppose -2*g - 115 + 29 = 0. Does 11 divide 6/24 - g/4? True Let z(u) = -8*u. Let r be z(-6). Suppose j - r = 5*j. Is (-53)/(-5) + j/(-30) a multiple of 4? False Let j(m) = 29*m**3 - 3*m**2 + 5. Let x(h) = -10*h**3 + h**2 - 2. Let r(w) = -4*j(w) - 11*x(w). Is r(-2) a multiple of 18? True Let q = 349 - 143. Is 36 a factor of q? False Suppose 5*u + 44 = -3*j, -4*j - u = j + 44. Let m = j + 19. Is 11 a factor of m? True Let r(t) = -4*t - 4. Let q be r(-2). Suppose 0 = -4*v + 5*k + 85, -q*v + 3*k - 59 = -6*v. Is v a multiple of 4? False Suppose 5*i + 3*h + 15 = 0, i - 7 - 8 = 3*h. Suppose v + 2*q = i, 0 = -4*q - q - 20. Is 5 a factor of v? False Does 21 divide 7/(-2)*(-17 - -5)? True Let g(r) = -2*r**3 - r**2 + 3*r - 4. Suppose 0 = -t + 2*x + 5 - 0, 0 = -4*t + 5*x + 8. Is g(t) a multiple of 7? False Suppose 10*c - 8*c = 128. Is c a multiple of 34? False Suppose -2*k = -0*k + 38. Let c = 16 - k. Suppose d + 4*d = c. Is 7 a factor of d? True Let k be 1 + (3 - (1 + -2)). Let h = k - 7. Is -56*(h + (-10)/(-8)) a multiple of 21? True Let c be (6/4)/(6/16). Let i(y) = y**3 + 4*y**2 - 2. Let g be i(-4). Let d = c - g. Does 3 divide d? True Suppose 3*y - 216 = 2*k, -y + k = -7 - 65. Is 12 a factor of y? True Suppose 0 = -5*f + 7 - 42. Let w(o) = o**3 + 7*o**2 - 2*o + 10. Does 12 divide w(f)? True Let u(x) = 4*x + 1. Is 16 a factor of u(14)? False Suppose 3*r - 2 - 10 = 0. Suppose 0 = -0*t + t + 4*z - 63, -r*z = -t + 31. Let b = t + -27. Is b a multiple of 10? True Suppose 7*a - 1495 = -6*a. Does 17 divide a? False Let o(s) = s**3 - s**2 - 3*s - 5. Suppose 0 = 4*w + 8 + 4. Let c be (-13)/w + (-1)/3. Is 18 a factor of o(c)? False Suppose -18 = -3*g + 30. Suppose y - g = -2*o - 0, 5*o + 116 = 4*y. Does 6 divide y? True Suppose 2*m - 44 = 2*l, 0*m + 4*m + 3*l = 123. Is m a multiple of 9? True Suppose -292 - 188 = -6*w. Does 20 divide w? True Let v = -52 + 72. Does 9 divide v? False Let h be 2*1/(-3)*39. Let r = h + 46. Let i = r - 10. Is i a multiple of 10? True Let j(h) = -2*h + 4. Is j(-2) a multiple of 4? True Let n(r) = -r**3 + 9*r**2 + 13*r. Let v = 30 + -20. Is n(v) a multiple of 15? True Let t(m) be the first derivative of -11*m - 10/3*m**3 + 9/2*m**2 + 4 - 1/4*m**4. Is 10 a factor of t(-11)? False Suppose 2*h - 12 = -0*h. Let k = h + -3. Suppose -2*a + 10 = g - k*a, 28 = 2*g + 2*a. Is g a multiple of 6? True Let p = -31 - -61. Does 10 divide p? True Let p(x) = x**3 - 7*x**2 + x - 9. Let f be p(7). Let l be f/(-3)*24*-2. Is (12/(-16))/(2/l) a multiple of 10? False Is 2 - -1 - (-78 - 15) a multiple of 12? True Let d(t) = t**3 + 17*t**2 - 18*t + 4. Is 3 a factor of d(-18)? False Let f = -63 + 103. Is f a multiple of 8? True Let j be -1*((-1 - -2) + -1). Suppose j = -5*v + 153 + 12. Is v a multiple of 14? False Let d be 6/(-27) - 330/(-27). Let u(j) = 8*j**3 - j**2 - 2*j**2 - d*j**3. Does 10 divide u(-2)? True Let f = 13 + 5. Is 11 a factor of f? False Let w(x) = -x**3 + 4*x**2 + 6*x. Let m be w(5). Suppose -m*h = -84 + 9. Suppose -a + 1 = -h. Is 8 a factor of a? True Let h(j) = 3*j**2 + 15*j + 10. Let c be h(-8). Suppose 5*k = 20, -3*t + 2*k + c + 99 = 0. Does 16 divide t? False Let z(l) = 2*l**2 + 4*l + 4. Is 17 a factor of z(-5)? True Suppose -l = -8 + 20. Let i be 2/(-8) - (-717)/l. Is 10 a factor of (3/(-2))/(9/i)? True Suppose -2*l = -32 - 6. Let w = -13 + l. Does 3 divide w? True Let v = 1 - 19. Let j = 54 - v. Is j a multiple of 20? False Suppose -4*m = -2*m - 4*s - 30, -s - 2 = 0. Let q = -5 + m. Is 4 a factor of ((-52)/6)/((-4)/q)? False Let k(z) = -2*z**3 - 2*z**2 - 5*z + 5. Let s(m) = -m**3 + m**2 + 1. Let q(x) = -k(x) + 3*s(x). Is q(5) a multiple of 23? True Let a be 2/(-20)*-8*5. Suppose -144 = -a*y + y. Is 12 a factor of y? True Is 10/(-3)*45/(-6) a multiple of 6? False Let j = 35 + 37. Is j a multiple of 10? False Suppose 0 = p + p + 2*o - 14, -5*p = -3*o - 27. Does 4 divide p? False Let m(v) be the third derivative of -1/4*v**4 - 1/3*v**3 - v**2 - 1/60*v**5 + 0*v + 0. Is m(-4) even? True Let o = 8 + -7. Let b(x) = 2*x + o - x - 4. Does 7 divide b(12)? False Let r(s) = s**2 + 2*s - 5. Let p be r(-7). Let z = p - -38. Is 22 a factor of z? False Does 15 divide ((-12)/2 - -1)*-6? True Let a be (4/(-10))/((-3)/15). Suppose 4*l - a*l = 5*h + 29, 4*l = 4*h + 28. Suppose 2*v + 2 = -v + 5*d, -2*d = l*v - 20. Is 6 a factor of v? True Let s(o) = -o**3 + 7*o**2 - 5*o - 4. Is 12 a factor of s(5)? False Does 6 divide (-1 - (1 + -4)) + 16? True Let r(q) = -3*q - 2. Let g be r(-9). Suppose 0 = -5*a + g, 4*a + 0 + 6 = k. Is k a multiple of 14? False Let p = 4 - -9. Is p a multiple of 5? False Suppose -5*x + o - 12 = 0, -2*o = -3*x - 0*x - 10. Let m = x - -6. Is (m/(-5))/(6/(-45)) a multiple of 6? True Suppose -3*u = -7*u + 64. Suppose 4 = -2*o + u. Is 4 a factor of o? False Suppose -3*d + 72 = 5*w - 0*w, -4*d + 2*w + 70 = 0. Is d a multiple of 5? False Let f(p) be the third derivative of 1/120*p**6 - 2*p**2 + 0 + 0*p + 1/2*p**3 - 1/12*p**5 + 0*p**4. Is f(5) a multiple of 2? False Suppose 2*i + 0*i - 3*k = 110, 0 = 3*i + 4*k - 199. Is i a multiple of 19? False Let j(d) = 12*d. Let h be j(2). Let f = h + -16. Does 4 divide -1 + f + (-2 - -1)? False Suppose 3*y + 3 - 93 = 0. Suppose 2*b - y = -3*b. Suppose j - b = 3. Does 4 divide j? False Let c = 11 + -8. Let j(b) = b**3 - 2*b**2 + b - 4. Let o be j(c). Let h = 44 - o. Does 18 divide h? True Let k(a) = a. Is 2 a factor of k(11)? False Let i(x) = x**3 + x. Let c be i(1). Suppose
{ "pile_set_name": "DM Mathematics" }
Let b(t) = -2*t**2 + 4. Suppose -3*d + 17 = 5*f, 2*d + 4 = -2*f + 14. Give d*b(i) + v*c(i). -i**2 + 2 Let s(p) = 8*p**3 + 4*p. Let d(x) = x + 256 + 252 - 508. Calculate -4*d(z) + s(z). 8*z**3 Let r(w) = 2*w - 4. Let s(z) = 3 + 7 - 7 - 2. What is -r(y) - s(y)? -2*y + 3 Let f(x) = -3626685*x**3 + 48555*x**2 - 9711*x + 9711. Let l(g) = -747*g**3 + 10*g**2 - 2*g + 2. Calculate 4*f(p) - 19422*l(p). 1494*p**3 Let y(u) = 23*u**2 + 2*u + 4. Let x(o) = -47*o**2 - 5*o - 10. Give -2*x(s) - 5*y(s). -21*s**2 Let p(m) = 15*m**2 + 7. Let w(v) = -5*v**2 + 3*v + 7. Let z(g) = 5*g**2 - 4*g - 10. Let n(s) = -4*w(s) - 3*z(s). Determine 7*n(a) - 2*p(a). 5*a**2 Let m(y) = -6*y**2 + 40*y - 27. Let r be m(6). Let o(k) = k + 7. Let h(d) = d + 8. Let g(p) = 3*h(p) - 4*o(p). Let c(b) = -2*b - 5. Calculate r*c(x) + 4*g(x). 2*x - 1 Let d(m) = -5810*m**3 - 56*m**2 - 56*m + 56. Let k(z) = 528*z**3 + 5*z**2 + 5*z - 5. What is 5*d(q) + 56*k(q)? 518*q**3 Let p(i) = 4*i**3 + 5*i**2 - 7*i - 13. Let h(k) = 2*k**3 + 2*k**2 - 3*k - 6. Suppose 2*w = -3*o - 1 + 4, -2*o + 6 = 0. Give w*p(j) + 7*h(j). 2*j**3 - j**2 - 3 Let h(u) be the first derivative of u**2 - 3*u + 122. Let t(m) = -9*m + 13. Determine 26*h(d) + 6*t(d). -2*d Let t(o) = -3*o + 2. Let w(s) = 8 + 9 - 16 - 3*s. Give 3*t(v) - 4*w(v). 3*v + 2 Let o(d) = -d**3 - 3*d - 3. Let w(g) = g**3 + g**2 + 5*g + 5. Let s(q) = q**3 - 15*q**2 + q - 10. Let b be s(15). What is b*o(n) + 3*w(n)? -2*n**3 + 3*n**2 Let f(o) = -o**3 + o**3 - 4*o**2 + o**2 + 5*o - 2*o**3 + 1. Let y = 34 - 66. Let b = y + 29. Let q(l) = -3*l**3 - 5*l**2 + 9*l + 2. Give b*q(g) + 5*f(g). -g**3 - 2*g - 1 Let u(f) = f**3 + 2*f - 3. Let h(j) be the first derivative of -j**4/4 - j**2 + 4*j + 3. Let i be (32*-1)/(3 - 5). Let d = 14 - i. What is d*h(a) - 3*u(a)? -a**3 - 2*a + 1 Let m(k) = -78*k**2 + 5*k - 1. Let j(y) = 115*y**2 - 8*y + 2. Calculate 5*j(c) + 8*m(c). -49*c**2 + 2 Let h(m) = -3*m - 4. Let g(u) = -13 + u - 8 + 28. Let r(c) = -3*c - 20. Let k(t) = 17*g(t) + 6*r(t). What is h(s) - k(s)? -2*s - 3 Let u(a) = 4*a - 6 + 2 + a + a. Let j(b) = -5*b + 3. Let x be (-5 + -5)/(2 - 4). Determine x*j(v) + 4*u(v). -v - 1 Let g(a) = 2*a - 6. Let h be (-92)/(-20) - (2 + (-60)/25). Let n(j) = 3*j - 11. Give h*g(f) - 3*n(f). f + 3 Let s = -132 + 130. Let t(i) = 2*i. Suppose 9 = 4*b - b. Let a(j) = -j**2 - 7*j**3 + 3*j**3 + 3*j**b. What is s*a(x) + t(x)? 2*x**3 + 2*x**2 + 2*x Let m(y) = -4*y**3 - 4*y**2 + y + 35. Let d(g) = g**3 + g**2 - 1. Give 6*d(k) + 2*m(k). -2*k**3 - 2*k**2 + 2*k + 64 Let d(f) = -f + 1. Let b(r) be the first derivative of 2*r - 7/2*r**2 + 17 - 2/3*r**3. Calculate b(g) - 4*d(g). -2*g**2 - 3*g - 2 Let t(v) = -v**3 + v + 1. Let b(h) = -10*h**3 + 4*h + 5. Let g be 8/(-24)*3/2*-2. Calculate g*b(d) - 5*t(d). -5*d**3 - d Let h(l) = -l**3 - l - 1. Let z(s) = 2*s**3 + 8*s**2 + 2*s + 14. Calculate -h(m) - z(m). -m**3 - 8*m**2 - m - 13 Let o(n) = -9*n - 36. Let c(t) = -t - 1. Calculate -5*c(y) + o(y). -4*y - 31 Let q(s) = -47*s**2 + 14*s + 17. Let h(j) = -31*j**2 + 9*j + 11. Determine -8*h(v) + 5*q(v). 13*v**2 - 2*v - 3 Let p(b) = 24*b**3 - 2*b**2 - 3*b - 12. Let i(r) = 25*r**3 - 3*r**2 - 4*r - 14. Calculate -3*i(o) + 4*p(o). 21*o**3 + o**2 - 6 Let v(q) = -2*q**3 + q**2 - q - 1. Let p(g) = 8*g**3 - 6*g**2 + 7*g - 3. What is -p(d) - 6*v(d)? 4*d**3 - d + 9 Let q(x) = -5*x**3 - x**2 + 1. Let i(c) = -c**3 + c**2 + c - 1. Suppose -45*t + 6 = -39. Calculate t*i(j) + q(j). -6*j**3 + j Let k(l) = -1210*l - 5. Let v(h) = 1218*h + 6. What is -8*k(x) - 7*v(x)? 1154*x - 2 Let k(d) = -82*d**3 - 13*d**2 + 7*d. Let n(l) = 56*l**3 + 9*l**2 - 5*l. What is -5*k(v) - 7*n(v)? 18*v**3 + 2*v**2 Let y = -12 + 6. Let l(a) = a - 2. Let u(w) = w - 3. Let v(s) = -4*l(s) + 3*u(s). Let d(h) = h**2 - 8*h - 7. Calculate y*v(g) + d(g). g**2 - 2*g - 1 Let f(k) = -2*k - k + 4 + 2*k + 2*k. Let x = -258 - -257. Let u(i) = -1. What is x*f(d) - 4*u(d)? -d Let u(w) = 4 + 8*w**2 + 8 + 38*w + 24 - 2*w + 0*w**2. Let q(g) = g + 1. Give 72*q(j) - 2*u(j). -16*j**2 Let y(q) = -10*q - 6. Let u(s) be the third derivative of -3*s**4/8 - 5*s**3/6 - 2*s**2. Let l be 0 + (-15)/((-24)/8). Calculate l*u(o) - 4*y(o). -5*o - 1 Let w(j) = 6*j + 2. Let x(o) = 2. Let g(a) = -2*a + 11. Let p(h) = -g(h) + 6*x(h). Suppose -5*z - 28 = -3*r, -5*r - 14 - 6 = 0. Give z*p(s) + 3*w(s). 2*s - 2 Let x(a) = -a**3 + 4*a**2 - 11*a. Let d(i) = -i**3 + 3*i**2 + i. Calculate -d(r) - x(r). 2*r**3 - 7*r**2 + 10*r Let a = -7 + 8. Let s(j) = j**2. Let p(i) be the second derivative of -i**3/3 + 10*i. Give a*p(u) + s(u). u**2 - 2*u Let u(r) = r**2 - 5*r. Let o(g) = -6*g**2 + 26*g + 1. Let q = -17 - -28. Let t(c) = q*u(c) + 2*o(c). Let s(w) = 2*w**2 + 7*w - 5. What is 4*s(k) + 10*t(k)? -2*k**2 - 2*k Let p be ((-8)/(-5))/(5/((-75)/(-6))). Let l(a) = p*a - 4*a**2 + 11 - 9*a - 11. Let s be 2/(1 - (-14)/(-10)). Let o(k) = -2*k**2 - 2*k. Give s*o(y) + 2*l(y). 2*y**2 Suppose 49 = 16*l - 9*l. Let o(n) = 9*n**3 + 7*n - 7. Let g(v) = 4*v**3 + 3*v - 3. Determine l*g(y) - 3*o(y). y**3 Let y(w) = 3*w**2. Let t be (-1)/(2 + -1) - 0. Let k be ((-12)/3 - t)*2. Let r(j) = -2*j**2. What is k*r(f) - 5*y(f)? -3*f**2 Let o(d) = -11*d**2 - 3*d - 7. Let y(g) = -32*g**2 - 9*g - 20. Determine -11*o(q) + 4*y(q). -7*q**2 - 3*q - 3 Let s(n) be the first derivative of n**3/3 - 3*n**2/2 + n - 156. Let p(y) be the first derivative of 2*y**3/3 - 2*y**2 + 2*y - 6. Calculate -2*p(a) + 3*s(a). -a**2 - a - 1 Let x(k) = -k**2 + k + 1. Let f(h) = -11*h**2 + 13*h + 4. Determine f(c) - 4*x(c). -7*c**2 + 9*c Let w(h) = 63*h - 8. Let y(g) = 1. Give w(t) + 6*y(t). 63*t - 2 Let l(b) = 0*b**2 - 48 + 2*b**3 + 51 + 3*b**2 - 5*b**3 - b**3. Let w(u) = -11*u**3 + 8*u**2 + 8. Determine -8*l(a) + 3*w(a). -a**3 Let d(y) = -11289*y**3 + 497*y**2 + 497*y. Let t(l) = 136*l**3 - 6*l**2 - 6*l. Give 6*d(v) + 497*t(v). -142*v**3 Let y(g) = 7*g**2 - g + 7. Let s(u) = 6*u**2 - 2*u + 5. Calculate -5*s(o) + 4*y(o). -2*o**2 + 6*o + 3 Let b(r) = r - 1. Let c = 7 + -5. Suppose 13 = -5*x - 3*o, -o + 3 = -3*x - c. Let m(j) = -2*j + 1. Determine x*b(g) - 2*m(g). 2*g Let g(p) = -4*p**3 - 7*p**2 - 7*p + 7. Let a(i) = i**3 + i**2 + i - 1. Determine -5*a(m) - g(m). -m**3 + 2*m**2 + 2*m - 2 Let o(g) = -157*g - 1. Let u(n) = 160*n + 1. Determine 5*o(j) + 4*u(j). -145*j - 1 Let p(x) = 2*x**2 + 8*x + 10. Let o(b) = b + 1. Suppose 0 = 3*f + 2*n - 13, 0 = f - 0*f + 2*n - 7. Let d be (2 + (-20)/8)*6/f. Give d*p(m) + 10*o(m). -2*m**2 + 2*m Let h(p) = 591*p**3 - 4*p + 4. Let k(n) = 448573*n**3 - 3035*n + 3035. What is 3035*h(b) - 4*k(b)? -607*b**3 Let r(t) = -11*t**2 - 20*t - 33. Let z(o) = -11*o**2 - 16*o - 34. Calculate -4*r(d) + 5*z(d). -11*d**2 - 38 Let p(l) = -27*l**3 + 16*l**2 - 2. Let i(y) = -81*y**3 + 46*y**2 - 6. Determine 4*i(k) - 11*p(k). -27*k**3 + 8*k**2 - 2 Let q(i) = -4*i**3 + 46*i + 4. Let f(m) = -3*m**3 + 45*m + 3. What is -3*f(x) + 2*q(x)? x**3 - 43*x - 1 Let l(z) = -3*z**3 + 3*z**2 - 69*z - 5. Let p(v) = 2*v**3 - 2*v**2 + 34*v + 3. Calculate 3*l(u) + 5*p(u). u**3 - u**2 - 37*u Let i = 3 - 2. Let r(u) = 7*u - 61 - 9*u + 57 + u. Let c(j) = j + 1. What is i*r(t) + 2*c(t)? t - 2 Let q(d) = 10*d - 10. Let a(u) = u - 1. Let l = 10 + -12. Let t be (l - (0 + -24)) + 1. Let x = -11 + t. Give x*a(w) - q(w). 2*w - 2 Let o(u) = -5*u + 104*u**2 - 104*u**2 - 2 - 3 - 29*u**3. Let p(f) = -595*f**3 - 102*f - 102. What is 102*o(r) - 5*p(r)? 17*r**3 Let t(m) = m + 1. Let q(f) = -f**3 - 5*f - 3. Let z be ((-2 - -9)/14 + 2)*-2. What is z*t(l) - q(l)? l**3 - 2 Let y(h) = -234 + 77 + 79 + 77. Let q(o) = o - 3. Give -5*q(m) + 15*y(m). -5*m Let b(n) = -15*n. Let f(m) = 245*m. Let c(q) = 122*q. Let v(s) = -7*c(s) + 3*f(s). Calculate 17*b(d) - 2*v(d). -17*d Let v(y) be the first derivative of 2*y**3/3 - 3*y**2 - 8*y - 383. Let o(w) = w**2 - w - 1. What is -6*o(i) + v(i)? -4*i**2 - 2 Let c(f) = 4*f - 7*f - 10 + 7*f + 26*f**2 - 4*f. Let r(h) = -5*h**2 + 2. Give -3*c(a) - 16*r(a). 2*a**2 - 2 Let u(o) = 7*o**3 - 163*o**2 - 4*o - 4. Let m(r) = r**3 + r**2 - r - 1. Calculate -4*m(q) + u(q). 3*q**3 - 167*q**2 Let z(h) = 4*h**2 - 12*h - 1. Let i(c) = -3*c**2 + 13*c. What is 3*i(b) + 2*z(b)? -b**2 + 15*b - 2 Let k(v) = 22*v**3 + 5*v**2 - v. Let w(c) = -21*c**3 - 4*c**2 + c. Calculate -4*k(n) - 5*w(n). 17*n**3 - n Suppose -20 = -16*m + 19*m
{ "pile_set_name": "DM Mathematics" }
= 5*w - 0*w - 20. Solve -w*j - 12 = -b*d - 2*d, 4*d = -3*j - 9 for j. -3 Let l = 6 + -8. Let c be l/9 + (-4)/(-18). Suppose 2*z - 78 = -5*i + z, -60 = -5*i + 5*z. Solve -2*v = -c*v - 5*a + i, 4*a = -5*v - 21 for v. -5 Let o(g) = -g**2 - 11*g + 6. Suppose 0 = 5*u - a + 54, -a + 13 + 1 = -u. Let s be o(u). Solve 4*c + 4 = -4*r, -2*c + r + 5 = s for c. -4 Let c(s) = -s**2 + 8*s - 3. Let z be c(3). Let u = 49 - z. Suppose 4*x = 7 + u. Solve -m + x = 4*y, -3*m + m + 2*y = 18 for m. -5 Let j(z) = -z. Let l be j(-4). Let i = -1 + 4. Solve -4*u - 4 = -4*n, 7 + 4 = -l*u - i*n for u. -2 Suppose x = -5*n + 4, 2*x - 3*n = n + 8. Let l be (-4)/x*(1 - 12). Let c be -2 - (2/(-2) - 6). Solve 1 - l = -2*t, -c*t = 5*g - 10 for g. -3 Suppose -m = -0*m - b - 18, -m = b - 20. Solve -4*l - m = z, -l - l - 5 = 5*z for l. -5 Suppose 8*x - 22 - 10 = 0. Solve 5*g = 2*h + 3, g + 13 = -x*h + h for g. -1 Suppose 5*c - 7 = -2. Let d be (c - 0)/(-1) + -23. Let q be (d/(-15))/((-2)/(-5)). Solve -q*h = -2*k + 18 + 8, -2*k - 4 = 2*h for h. -5 Suppose y - 2*p = -1, 7*y - 18 = 4*y - p. Suppose 0*b + 4 = 2*w + 3*b, -y*w = -5*b - 10. Solve 4*i = w*q + 6, 4*i - 25 = -9 for q. 5 Let o = -6 - -9. Suppose -2 - 4 = 2*i, -33 = -o*p - i. Solve 3*z - 7*z + 3*s = p, -4*z + 4*s - 12 = 0 for z. -3 Let l be (-24)/(-12)*(-22)/(-4). Suppose 5*i - 6 = 3*s, -1 = 5*s - 16. Solve b - 11 = -i*h, -5*b + 6 = l for h. 4 Let j = 4 + -2. Let b(i) = 2 - 5*i**j - i**3 + 3*i - 2 + 4 + 2*i**3. Let h be b(4). Solve h = -5*y - 2*l - 4, -2*y - 10 = -3*y + 5*l for y. 0 Let u(g) be the second derivative of -g**5/20 - g**4/3 - 5*g**3/6 - 2*g**2 - 2*g. Let a be u(-3). Solve 26 = 3*b - 5*r, 7*r + 12 = -a*b + 3*r for b. 2 Suppose 0 = -2*f + m + 3, -3*f - 4*m = -11 + 1. Suppose -12 = -2*c - f*q, 2*c - 18 = -2*c - q. Solve -c*s = -j + 15, -35 = 2*s + 3*s + 2*j for s. -5 Let w = -39 + 60. Suppose 5*p = 6 + 9. Suppose -p*s = -x + 11, -5*s - w = -3*x + 20. Solve -4*h = 5*y - 2 - 6, 2*y - 3*h - x = 0 for y. 4 Suppose -16 = m + 3*d - d, -5*m - 5*d = 70. Let y = m - -14. Solve 19 = -4*q + a, -2*q - y*q - a - 21 = 0 for q. -5 Let s be 2 - (1 + -2)*22. Let d = -8 + s. Let a = 1 + 0. Solve u = a + 4, 2*k = 2*u - d for k. -3 Let z(j) = -j**3 + 3*j**2 + j - 2. Let g(x) = x - 1. Let d(q) = -2*g(q) + z(q). Let v be d(1). Solve -5*o + v = -3*l + 2, -5*o + 13 = 4*l for l. 2 Let q = 0 + 2. Suppose 0*k - 11 = -k - q*z, 3*k - 3*z - 24 = 0. Suppose -2*u = -1 - k. Solve u*l + b - 21 = 0, 3 = 3*b - 0 for l. 4 Let w be -2*(3/2 + -2). Suppose -2*c = 5*o - 3, w = c + 3*o - 0. Let v be (-4)/14 + (-300)/(-21). Solve 3*t - j = 9 - 25, 0 = 2*t - c*j + v for t. -5 Suppose 3*v - 2*v = 5*z + 35, z = -2*v + 15. Suppose -50 = -4*n + 2*i, 3*i = i - v. Solve 5*p = 5*l + n, 5*l - 2*l - 2*p = -1 for l. 3 Let k(a) = 0*a + 3*a + 0*a - 4*a. Let j be k(-5). Let c(d) = d + 8. Let m be c(-6). Solve -3*q - 2*u = 9, q - j*q + m*u - 12 = 0 for q. -3 Suppose -7*s + 13 = 3*x - 2*s, -x + 7 = -s. Solve -2*o = -5*c + 12, 0 = 2*c - o + x*o - 28 for c. 4 Suppose 2*w = a, 3*a - w = 2*w. Solve a = -2*p + 10, 2*p + 0*p - 11 = -d for d. 1 Let o be (-2)/(-1) - (4 - 4). Let u(x) = -x - 6. Let q be u(-8). Solve -2*g = 3*c - 1, q*c - c = -o*g - 5 for g. -4 Let g(f) = -f - 3. Suppose 5*k + 24 = -1. Let z be g(k). Suppose -5*x = -5*i - 30, -z*x = 3*x - 2*i - 18. Solve 4*s = -16, x*p + s + 2 = -0 for p. 1 Suppose -5*d = -2*f + 7*f + 5, 3*d + 5*f + 9 = 0. Solve 2*p - 10 = -5*x - d, 3*x - 8 = 2*p for x. 2 Suppose 0 = -c + 5*u - 1, 2*c - 5 + 0 = 3*u. Solve p = -c*d + 19, 4*d + 4*p = p + 25 for d. 4 Suppose 3*r - 53 = -5*h, 50 + 30 = 4*r + 2*h. Let t be (-6)/(-36) + 6/(-36). Solve t*m - 8 = -j - 2*m, 5*m - r = -2*j for j. -2 Let z be 2 + -5 + (0 - 1). Let u = z + 0. Let l be 1 + 1 + (u - -2). Solve l = 5*j - m - m + 23, j = -3*m - 8 for j. -5 Suppose -n - 4*f = n + 14, 0 = -2*n + f + 11. Let h = n + 3. Solve v - 4*v = 0, -2*z + h = 5*v for z. 3 Suppose 0 = -6*h + 3*h + 21. Solve -5*b + 0 = -2*x + h, -4*x + 1 = 3*b for b. -1 Let k(r) = -5*r + 2. Let v(p) = 9*p - 3. Let q(j) = -11*k(j) - 6*v(j). Let m be q(8). Solve 20 = -0*x - 4*x - 4*l, -m*x - l - 20 = 0 for x. -5 Suppose -3*j + 0*j - 27 = 0. Let y be 1/4 + 165/12. Let a = y + j. Solve -a*n - 2*b - 16 = 0, -2*n = 2*n - 3*b + 22 for n. -4 Let y(z) = -z**2 - 3*z. Let p be y(-3). Suppose 0 = 2*v + 1 - 9, 5*m - 4*v + 31 = 0. Let r = m + 6. Solve -r*q + 3*j - 9 = p, 3*q + 0*j + 2*j + 9 = 0 for q. -3 Let h = 6 + -6. Let j(k) = k**2 + 4*k + 5. Let f be j(-3). Solve -5*b + 2*m = 7, h = f*b + 2*b + 4*m for b. -1 Let o(g) = -g + 6. Let l(w) = -w + 5. Let t(n) = -5*l(n) + 4*o(n). Suppose -6 = -0*a - a. Let q be t(a). Solve -6*d - 20 = -q*p - d, -5*p = -d - 20 for p. 4 Suppose -2*a + 12 = 2*a. Suppose 5*d + 6 + 4 = 0. Let j be (40/(-24))/(d/6). Solve -4*l = 0, -a*n - 4 = n - j*l for n. -1 Let r = 68 - 66. Solve -14 = -3*g - r*c, -5 = -g - g + 3*c for g. 4 Let p(d) = -d**2 - 3*d. Let r be p(-2). Let c(k) = 5*k - 2. Let a be c(r). Let m be 236/6 + a/12. Solve 0 = -4*n - 3*s + 20 + 15, 0 = 3*n + 5*s - m for n. 5 Let h be 5*(0 + -3 + 4). Let b = h + -3. Solve 3*a + 3*p = 6, 2*a = 4*p - b*p + 4 for a. 2 Let o = 31 - 29. Solve -t = -o*p + 5*p - 13, 0 = -4*t + p + 13 for t. 4 Let p(u) = -u + 1. Let c be p(1). Suppose 2*z - 4 = -c. Solve j + 2*f - 2 = 0, 0*j - 5*f + 4 = z*j for j. 2 Suppose 29 - 25 = c. Solve 0*x - x = -c*s - 16, 6 = 3*x + 2*s for x. 4 Suppose -5*s + b = 9 - 22, 3*b = 2*s - 13. Let j(m) = 0 - 2*m - 2 - s. Let f be j(-3). Solve -4 = -l, f*p + 5*l - 4 = 2*l for p. -4 Suppose -4*x - 3*i = -12, -2*i - 2*i = 4*x - 16. Solve u + 2*b + b = x, -3*u + 2*b - 11 = 0 for u. -3 Let a be 4*(1 - (-18)/(-8)). Suppose 2*p + 2 + 0 = 0. Let d be (-44)/(-20) - p/a. Solve 2*i = -x + d, -3*x - 5*i = -i - 6 for x. 2 Let z = -20 + 22. Solve 3*l - 17 = 5*s, -z*l = -0*l - 3*s - 11 for l. 4 Suppose 13 = 2*o + z, 0*o - 5*o = 2*z - 31. Solve q - o = -2*w - 2, 0 = 2*q - 4*w - 14 for q. 5 Let i be (-7 + 3)/(-4) - 1. Let g(z) = z**2 - 6*z - 4. Let m be g(7). Solve -2*w = -i + 2, -2*f - m*w = 7 for f. -2 Let k be 2/(-5) - 14/(-10). Let y(h) be the second derivative of 5*h**3/6 + h**2/2 - 2*h. Let x be y(k). Solve 4 = -a - a, -2*a + x = 2*z for z. 5 Let t be ((-44)/(-33))/(1/3). Solve -7*m + 3*m = -2*o - 14, 17 = m + t*o for m. 5 Let q = -14 - -18. Solve -g = -5*z - 12, -z - q*z - 18 = -4*g for g. 2 Let z(r) be the second derivative of -r**4/12 - 3*r**3/2 + r**2/2 + 4*r. Let h be z(-8). Solve 5*q = -2*i - 27, -3*q + h = -4*q - 4*i for q. -5 Let n = 11 + -18. Let c = -4 - n. Solve 2*r - c = 4*u - 15, -2*r = -3*u + 8 for r. 2 Suppose 2*a - 6 = 4*u, -3*u + u + 2 = 0. Solve s - 5 = 5*d + 3*s, -a*d - 20 = 5*s for d. 1 Suppose 3*j + 2*c = -4, j = -0*j + c + 7. Solve -3*i - 7 = k, -k - 5*i + j = 17 for k. 5 Suppose 2*j - 3 = 5. Let z be 1/(-2) + 2/(-4). Let h = -1 - z. Solve h = j*a + n - 15, 0 = -2*a + a - n for a. 5 Let m be 40/15 + 1/3. Suppose -2*n + 2*u - 6*u = -38, -m*n - u = -37. Solve -4*s - 17 = 5*a, 5*s = 2*s - 2*a - n for s. -3 Suppose 2*m = 3*t - 1, 3*t - 3*m = 8*t - 27. Let y be (-1 - -23) + (0 - -2). Solve 4*u + y = 4*h, 2*u - 18 = -7*h + t*h for h. 5 Let r(u) = -u**3 + 6*u**2 + 6*u + 8. Let p(a) = -3*a - 5. Let l be p(-4). Let f be r(l). Let w = 1 - f. Solve -2*c - 2*o = 0, -o = -c - w*o - 10 for c. -5 Suppose -v - 5*r - 10 - 15 = 0, 5*r = 5*v - 25. Suppose v = -q + 2. Suppose -q*g - 3 + 13 = 0. Solve -2 = 3*n + 1, -5*p - g*n = -10 for p. 3 Let t be (-4)/(-3) + 8/12. Let u be 0/(-2)*1/t. Solve 0 = 5*h - x + 20, u = -2*h + 3*x - 21 for h. -3 Let u be (-2)/(((-16)/(-6))/(-4)). Suppose -2*o - 3*a - 8 = 0, o - 14 = 3*a - 0*a. Solve 25 = 4*z - t, -4*z + 15 = -u*z - o*t for z. 5 Let l = -5 - -10. Solve 2*o = l*v + 9, 2*o - 5 + 2 = -v for o. 2 Let p be (-4)/(-18) + (-102)/(-27). Let x be (81/(-18))/((-1)/(-2)). Let j = x + 15. Solve g + 17 = j*g - 2*z, 0 = 4*g - 4*z - p for g. 5 Let y(t) = -t**3 + 5*t**2 + 7*t. Suppose -5*s - 18 = -8. Let q be (-12)/10*10/s. Let u be y(q). Solve 0 = -2*p + 3*c + 8, -u*p + 20 = -p + c for p. 4 Suppose -2 - 6 = -4*l. Suppose -g + n + l - 6 = 0, 5*g + 4*n = 16. Suppose g = -4*d + d. Solve 0*c + 3*c = 5*z - 25, d = c - 4*z + 13 for c. -5 Let g = 2 - 0. Solve 7 = o + g*t, 4*t + t - 15 = -2*o for o. 5 Suppose 2*h - 31 = -h + 5*f, -3*f = 2
{ "pile_set_name": "DM Mathematics" }
Which is the second biggest value? (a) 3 (b) -0.4 (c) v (d) u c Let o = 50677.6 + -50678. Let u = 23 + 5. Which is the biggest value? (a) -0.3 (b) 0.5 (c) u (d) o c Let w be 120/(-78) - 48/104. Which is the third biggest value? (a) 1 (b) -0.6 (c) w (d) -1/3 (e) 3 d Let p = -5990419/3999 + 828634736749/553141680. Let i = -5/3458 + p. Let m = -1/16 - i. Which is the smallest value? (a) m (b) -6 (c) 1/2 (d) -2/3 b Let j be ((-100)/350)/(5/(15/(-279))). What is the third smallest value in -2/9, j, 3? 3 Let s = -11 - -9. Let g = s - 4. Let n = -0.309 - 0.191. What is the third biggest value in n, -0.1, g? g Let s = 6 - 27. Let l = s + 18. Let x = 397/4 - 99. Which is the third biggest value? (a) x (b) l (c) -0.4 b Let v = 4.595 - 5.295. What is the smallest value in 23, v, -1/4? v Let j = -24.59 + 24.69. Suppose -4*x + 35 + 37 = 0. Let p be 1 - 5/(50/x). Which is the third biggest value? (a) -4 (b) j (c) p a Let g = 4283.31 - 4369. Let x = g + 85.7. Let r = -4.2 + 4. What is the fourth smallest value in 2/5, x, -4, r? 2/5 Let s = -13789 - -13788.8. Which is the smallest value? (a) s (b) 224/3 (c) -1 (d) 0.1 (e) -0.1 c Suppose -t + 9 = 3*l, 4*l + 2*t = 8*l - 2. Which is the second biggest value? (a) 5 (b) 1/5 (c) -11 (d) l (e) -1/10 d Let y be (5 - (-12 + 20))/((-3)/2*3). Which is the third biggest value? (a) 2/57 (b) y (c) 0.19 a Let u = 106 - 104. Let r be (5/6 + -1)/((-8)/36). Which is the second smallest value? (a) r (b) u (c) -1 a Suppose -84*x - 6339 = -6675. Let w = -0.2 + 0.3. Which is the second biggest value? (a) x (b) w (c) -11 b Let f = 4.89 + 0.11. Let x = -52042 + 156130/3. Which is the second biggest value? (a) x (b) 0.04 (c) -2/3 (d) f a Suppose -2*j = 2*j - 8*j. Let t = -5.909 - -5.9. Let l = t - 0.391. Which is the fourth smallest value? (a) 5 (b) l (c) j (d) 3/5 a Let z = -24564 + 24563.89. Let t = -46 + 46.4. Let n = 163/637 + -5/49. Which is the third biggest value? (a) z (b) n (c) t a Let d = -14254 + 14253.6. Which is the biggest value? (a) 0.38 (b) d (c) 12 c Let n = 4.156 + -3.956. What is the third smallest value in n, 0.4, -2/7? 0.4 Let v be ((-12)/165)/(4/(-10)). Let t = -0.02 + 2.02. Let a = -11367.6 - -11368. What is the fourth smallest value in t, v, a, 0? t Let p = 1965 - 1970. What is the third biggest value in 1/3, p, -4, 1? -4 Let p = -48.79 + -9.37. Let f = -58 - p. Which is the third smallest value? (a) 4 (b) f (c) -1/4 a Let o = 0 + 3. Let n = -3.5 + o. Let s = -129449/5 + 25890. Which is the third smallest value? (a) s (b) -3 (c) n (d) 2 a Let o = 26171/39 + -671. Let m = -5/13 + o. Which is the second biggest value? (a) -2 (b) m (c) 2/9 b Let u be (-16)/3 + 2/1. Suppose 592*t - 5 = 587*t. Let r be (t/(-5))/((-54)/(-450)*5). What is the third biggest value in r, 2/9, u, 0.2? r Let u = -1 + 6. Let z be (878/(-18))/1 - (-6)/(-27). Let c = 99/2 + z. What is the smallest value in c, 1/3, -3, u? -3 Let m = -6 - -2. Let f = 4.4 + m. Suppose -17*k = 67180 - 67112. What is the third smallest value in k, f, 4? 4 Let z = -323/39 + 21/13. Let s = -71/12 - z. Which is the smallest value? (a) s (b) 4/7 (c) -4 c Let b = -5132/21 - -5104/21. What is the fifth smallest value in -0.045, b, -1/3, 3/5, 3? 3 Let p = 99/119 + -5/7. Let u = 586.77 + -586.8. Which is the fourth biggest value? (a) 10 (b) -0.3 (c) p (d) u b Let n = 0.3 + 0.2. Let w = 1980.7 - 1980.9. Which is the biggest value? (a) n (b) 3 (c) w (d) -3/5 b Let h be (0/(-17))/((2 - 0)/(3 - 4)). Let s = 55 + -33. Let z = s - 15. Which is the smallest value? (a) z (b) h (c) -5 c Suppose -4*x - 1 = -3*y + 49, 4*y = -4*x + 20. What is the biggest value in 57, -1/5, y? 57 Let x = 23.24 + -28.9. Let p = x - 0.24. Let k = p - -8.3. Which is the second smallest value? (a) -0.3 (b) k (c) -3 a Let d be -16 - -100*17/102. What is the third smallest value in 240, 0.4, d? 240 Let q = 7275 + -7274.7. What is the biggest value in -0.4, -13, q, 2? 2 Suppose 5*c + 5*r - 70 = 0, c + 3*r = -0*c + 20. Let a = c + -7. Suppose 4*l - 5*m - 18 = -9, 5*m = -l - 29. What is the second smallest value in a, l, -0.04? -0.04 Let a = -0.04 + 0.1. Let t = -23/970 - 1687/10670. Let b = 1.5 - 2. What is the second biggest value in a, b, t, -4? t Let s be ((2 - -3)/(-5))/(12/(-27360)*-12). What is the fourth smallest value in -5, -4, 5, s? 5 Let z = 1.95 + -2. Let m = 7775.4443 + -7775. Let p = m + -0.2443. Which is the second biggest value? (a) z (b) 1 (c) p c Let f be (-6 + 2 - 1)/(-1). Let s = 1078 + -1081. Let m(a) = -6*a**2 - 20*a - 2. Let j be m(s). What is the third biggest value in 1/7, j, 0.5, f? 0.5 Let q be (-1 - 1)/(-2) - 2. Let l be (13 - 752/56) + 2938/2688. Let v = -1/448 - l. Which is the biggest value? (a) v (b) q (c) 1 c Suppose 108 = 39*b - 30*b. Suppose -5*u + z - 5 = -b, -u + 11 = -5*z. What is the second biggest value in u, -5, -0.1, -0.49? -0.1 Let p be ((-2)/5 - (-39)/(-765)) + (-346)/(-2941). Let d = -5 + 6. Let o = 3 + d. Which is the third smallest value? (a) p (b) 1/7 (c) o c Let k = -2437 - -2439. Suppose 3*z + 0*t + t - 53 = 0, 52 = 2*z + 4*t. Let g be (z/20)/(14/5). What is the fourth smallest value in g, k, 1, 3? 3 Let p be (-8)/18*((-550)/20)/(-55). Which is the second biggest value? (a) 96 (b) p (c) -0.6 b Let d = 59 - 4. Suppose d = -4*j + 5*o, -5*j = -3*j - 5*o + 25. Let b be j*(-1)/(-4) + (4 - 1). What is the smallest value in 0.4, -4, b, 8? -4 Let z = -0.39 + 0.69. Let w = 149.1 - 149.3. Let r = 10 + -6. Which is the biggest value? (a) 5 (b) z (c) r (d) w a Let p be 211/2*(6 + -10). Let b = -1267/3 - p. What is the fourth biggest value in 2/11, b, 1, 3/11? b Let f = -69.4 - -69. Let l = f - -0.1. Which is the third biggest value? (a) 0.1 (b) l (c) -2/9 (d) -2 b Let o = -1.1 + 1.08. Let y = -0.32 - o. Let q be (5 + (-22)/5)/(18/4). What is the smallest value in q, y, 4? y Let r = 54 - 54.99. Let j = -1.123 - -9.113. Let g = j + r. Which is the third biggest value? (a) g (b) -3 (c) 5 (d) -4 b Suppose -5*o + 485 = 475. Which is the third smallest value? (a) o (b) -306 (c) 5 (d) -1 a Let p = 1459 + -1456. Let w = 30 - 35. What is the fourth biggest value in w, 3/2, -0.26, p? w Let u = 3345 - 30106/9. Let x = -41 - -45. Which is the third biggest value? (a) u (b) x (c) -37 c Let n = -116.1 - -109. Let o = 3.9 + n. Let z = -3.5 - o. Which is the fourth biggest value? (a) -13 (b) 4 (c) 1 (d) z a Let i = -139 + 126.62. Let b = i + 0.38. Let w = 17 + b. What is the second smallest value in -4, w, -28? -4 Let s = -15583/15 + 1039. Which is the third smallest value? (a) 4 (b) s (c) -19 a Let o = -4460 - -4459.4. What is the biggest value in -5, -0.027, o? -0.027 Let d = -0.3343 - 0.0607. Let g = 0.535 + d. Which is the third biggest value? (a) 2/3 (b) 0.3 (c) g c Let u = 1.256 + -1.156. Let a = -48 - -29. Let q = a + 5. What is the third biggest value in u, -5, q? q Let q = -1 - 4. Let z = 12/331 - 746/2317. What is the biggest value in -61, q, z? z Suppose -v = 2 - 3. Let a = 37.4 + -313.4. Let m = a + 283. What is the second smallest value in -5, m, v? v Let m = -53.833 - -6.043. Let k = 1.11 - m. Let x = k - 49. Which is the second biggest value? (a) -5 (b) -0.2 (c) x b Let u = 28.11 - 0.11. Let p = 28.5 - u. Let z = -9.9 - -5.9. What is the fourth biggest value in p, z, -0.1, -5? -5 Let d = 14006.6 - 14007. What is the second smallest value in d, 3, 0.03683? 0.03683 Let t = 10 + -9. Let p be (-45)/84 + 15/(-21) + t. Suppose 2 = -43*a + 41*a. What is the second smallest value in a, -12, p? a Let q = -13 - -53/4. Let t(s) = s**3 - 8*s + 4. Let w be t(-3). Which is the second biggest value? (a) q (b) w (c) 0.4 c Let q = 67 + -63. Let t = -0.13 - -0.23. Let g be (-4)/6*1/2. Which is the fourth biggest value? (a) g (b) q (c) 5 (d) t a Let c = 6.67 + -3.67. Let u be 84/10 - 3/(-5). Suppose 0 = 3*s - u - 3. What is the fourth biggest value in 5, -3, s, c? -3 Let r(z) = z**3 + 5*z**2 - 4. Let s be r(-5). Let u = -102085 - -102085.1. Which is the fourth smallest value? (a) 1 (b) s (c) -15 (d) u a Let m = -24 - -21.9. Let w = 60.1 + m. Let p = -59 + w. Which is the third biggest value? (a) -2/15 (b) 1/3 (c) p c Let f = 5.5812 - -0.4188. Wha
{ "pile_set_name": "DM Mathematics" }
y + 15 - t = 0. Is -4 smaller than y? False Let z(b) = -b**3 + b**2 - b + 2. Let w be z(0). Suppose -w*p + 7 = -3. Suppose -4*u - p*r + 2 = -6, u - 3*r = -15. Which is smaller: -2 or u? u Let i = 42 - 60. Let w be i/1 + 2 + -4. Let u be (-8)/(-3)*6/w. Is u at most -1? False Let a(i) = i**2 - 4*i - 7. Let l be a(5). Which is bigger: l or -1/5? -1/5 Let b = 3.8 + -4. Let z = 0.6 - 0.3. Let j = b + z. Is j less than or equal to 2/7? True Let s(r) = -r**2 + 5*r - 3. Let l be s(3). Let f be 8/l*3/1. Let j be (f/12)/((-2)/(-3)). Is j bigger than 0? True Suppose -3*b + 7*b = 2*k + 4, 0 = -5*k + 2*b - 2. Which is smaller: 6/19 or k? k Suppose 3*g - 10 = 2*s + 8*g, 4*s = -2*g - 4. Let c = 3/7 - 25/42. Which is smaller: s or c? c Let y = -192 + 324. Suppose 0*n - 4*n = -y. Let a be n/(-18) - 2/12. Is a at least as big as -2? True Let t be 3/2*8/12. Which is greater: 12/11 or t? 12/11 Suppose -4*o = 3*n + 71, -4*n - n = -3*o + 70. Is -16 smaller than n? False Let m = -13 + 7. Let j(z) = z**2 + 12*z - 70. Let d be j(-16). Are m and d non-equal? False Let n = 15.8 - 32.7. Let p = n - -17. Which is smaller: p or -5? -5 Suppose -18 = -0*o - 3*o + 4*w, -4*o - 4*w = -24. Let m be 10/(-3)*o/(-5). Is m equal to 5? False Let h(r) = -4*r + r**3 + 5*r**2 + 6 - 5*r + 4*r. Let m be h(-6). Let p = 1 - m. Is p not equal to -1/4? True Let z = -241/22 - -126/11. Do 31 and z have different values? True Let q(r) = -r**3 + 4*r**2 - 3*r + 1. Let v be q(3). Let g be (-352)/1036 - 2/(-7). Is v less than g? False Let s be 2*(-1 - -2) - -1. Let p(q) = q**3 + 3*q**2 - 5*q - 2. Let r be p(-4). Suppose -3*a + 8 = 5*n, 24 = 6*n - r*n - 2*a. Are n and s unequal? True Let p(c) = 2*c. Let d be p(10). Suppose 0 = -3*g + z + 41, d = 3*g + 5*z - 9. Does 13 = g? True Let b(s) = -s - 2. Let x be b(-5). Let u be x/(-21)*28/(-16). Which is greater: u or -2? u Let l = -3 - -3.3. Let y be -2*(-2)/((-8)/(-10)). Suppose 1 = y*d + 11. Are d and l equal? False Let y = 6 - 11. Let j = -4 - y. Is j equal to -1/4? False Suppose 12*n - 217 - 47 = 0. Is 22 smaller than n? False Suppose 2 = 2*t - 0. Suppose 0 = -2*i - 4*s - 2 - 2, -i - 4 = 4*s. Let p be (i + 0)/(1 - -1). Is t != p? True Let s = -2 - -6. Let j(o) = o**2 - 4*o + 5. Let z be j(s). Suppose 0 = z*q + 4*t - 23, -q - 2*t - 8 = -5*q. Which is smaller: 2 or q? 2 Let m(n) = n. Let z(x) = -x. Let v(k) = -4*m(k) - 5*z(k). Let a be v(1). Let h be 2*(-2)/8 + 1. Which is smaller: a or h? h Let n = 961/18 + -160/3. Let t = n - 13/153. Let a = 8/17 - t. Which is bigger: -1 or a? a Let a(k) = -k**3 + 6*k**2 - 6*k + 5. Let v be a(5). Is v bigger than 5? False Suppose 0*f = 2*f - 2*c + 354, -c = 3*f + 515. Let a = f + 1381/8. Which is bigger: a or 0? 0 Let l = 5 + -4.5. Which is bigger: l or 1? 1 Let p be (6/15)/((-3)/30). Let j be p/(-6) + (-6)/9. Let z = -13 - -89/7. Is j less than z? False Let k(z) = -z - 7. Let c be k(-7). Let d be -1*1*(2 - 6). Let f be (-3 + d)*2/2. Which is bigger: c or f? f Let i be (17 - 14) + (-14)/(-8). Which is smaller: 4 or i? 4 Let d be (1/(-5))/((-3)/15). Is d smaller than 4/9? False Suppose s - 2 = -2*s + 4*g, -5*s = -2*g + 6. Suppose 0 = -p - 4*h + 12, -7 = 4*p - 5*h + 8. Which is bigger: p or s? p Suppose 124 = 3*t + t. Suppose t = -5*p + 4*h, p + 15 = 4*h - h. Let z(d) = d**2 + 6*d + 1. Let x be z(-5). Which is bigger: x or p? p Let a(t) = t - 6. Let b be a(-5). Let p = -12 - b. Let h be 0 - (-2)/(-1 + 0). Which is smaller: h or p? h Let l = -167/4 + 42. Which is greater: -4 or l? l Let s = 11.8 + 0.1. Let u = -12 + s. Which is smaller: 0 or u? u Let t = 15 + -28. Let c = -11 - t. Is -0.6 < c? True Suppose -5*y - 80 = 45. Is y smaller than -24? True Let y be (0 + 33)/(-3)*2. Let z = y - -22. Which is greater: z or 0.02? 0.02 Let t = 23 - 25. Is t at least -0.03? False Let y be 6/(-4)*5/(-15). Let z = 0.4 - 0.1. Let c = -0.1 + z. Is c >= y? False Let n = 0.52 + -0.02. Which is greater: n or 0? n Let q be ((-2)/(-5))/(4/(-20)). Let i be 0 - q - (2 - 3). Suppose 3*j - 4*n = -10, 6*n - 22 = -j + n. Which is greater: i or j? i Suppose 0 = o - 4, 2 = 4*v + 4*o - 18. Which is smaller: 2 or v? v Let t = 50.34 - -0.66. Let f = -53.9 + t. Let c = 3 + f. Which is smaller: c or -5? -5 Suppose 1 + 1 = -b - 2*j, 5*b + j = -1. Suppose b = -a - a - 2. Let d = -8 + 15/2. Is a bigger than d? False Suppose -5*v - 4*s + 6 + 32 = 0, -43 = -4*v + s. Which is smaller: v or 9? 9 Let g be 46897/3 - (-6)/9. Let d = g - 1313147/84. Let k = 1/21 - d. Which is smaller: k or 1? k Let p = 13 + -18. Let h = p - -6. Is 1/7 != h? True Let b = -5 - -5. Let d = b + -3. Let q(t) = t - 3. Let f be q(0). Is d smaller than f? False Suppose 3*h - 2*h = 0. Suppose -3*o + h*v - v = -3, -v = 2*o - 3. Is o less than -3/5? False Let f = -1.998 - 0.002. Is f greater than or equal to 61? False Let y = 39 - 27. Let t be 3/36 - (-3)/y. Let p = -1 + 0. Which is greater: p or t? t Let n be ((-18)/(-42))/(2/(-4) - -2). Let g be -6*(0 - 1)/1. Suppose -g*q = -q. Is q smaller than n? True Suppose -a = -27 + 5. Suppose 5*i = 2*n + n - a, 0 = i - 5*n + 22. Let x = -1 - 0. Which is bigger: i or x? x Suppose -3*m - 3*r = -2*m + 12, 0 = m + 2*r + 7. Let a be ((-2)/(-4))/(7/70). Suppose a*v - 2*d - d - 8 = 0, 5*v = 4*d + 4. Which is bigger: m or v? v Let w = 1.5 - -5.5. Which is greater: -1 or w? w Let b be 19*-1*(-7 - -6). Suppose b = 5*d + 4. Which is bigger: 2 or d? d Let u be (-3)/(-2)*(2 - 0). Suppose 0 = -4*f - 3 + 7. Suppose 0 = u*j - 2 - f. Are j and 2/17 nonequal? True Let m be 6/24 + (-6)/(-8). Is -3/20 greater than m? False Let n = -47 + 3. Which is smaller: -1/4 or n? n Let l be 3/9 + 16/6. Suppose 5*w = -5*r - 20, 2*w + 8*r - l*r = -20. Let c = -1/2 - -1/4. Which is smaller: w or c? c Let c = -0.01 + 0.01. Does c = -0.8? False Let k = 8 + -6. Let v = -6 - -2. Let b = k + v. Which is smaller: b or -2/7? b Let u = 0.2 - 2.4. Let y = 2 + u. Let p = 38 + -36. Which is greater: p or y? p Let v = 1210 - 8448/7. Which is greater: 2 or v? v Let f(n) = 2*n**2 + 21*n + 3. Let v be f(-10). Are v and 0 equal? False Let v = -3 - -7. Let h be 1 + -4 + (-8)/(-4). Is v <= h? False Let p be 1*-1*(-31 - 2). Is p <= 0? False Let s = -2.1 + 4. Let x = 2 - s. Suppose -2*j = -o - 10, -4*o - 4 = -j + 8. Which is smaller: x or o? o Let c be -1*2 - (-1 + 1). Let p(n) = 1 + n - 3 - 4. Let o be p(5). Is o at most as big as c? False Suppose 5*v + 0*v = 410. Let z be (15/9)/1 + (-1)/(-3). Let b be v/140 + z/(-7). Which is greater: 1 or b? 1 Let z = 5849/5 - 1166. Is 3 at least as big as z? False Let l = -9 - -11. Suppose -l*i + i = -8. Suppose 5 - i = 3*q. Which is smaller: -2/33 or q? q Let n = -93/4 - -639/28. Let y be 1/(-2 - -5)*3. Which is smaller: n or y? n Let y be (-1*1)/(-2 + 1). Let d = -0.6 + 3. Let f = -0.4 + d. Is y at most as big as f? True Let n = 48 + -47.9. Which is smaller: 3/2 or n? n Let l = -20 + 60. Is 40 smaller than l? False Let a be (0 - (-18)/(-3))*-1. Suppose 49 = t - 2*n, 0 = a*n - n + 25. Let p be 2/(-6)*(-18)/t. Is -1 at least as big as p? False Let c be (-150)/(-315)*(-1 - -10) - 4. Let b be ((2/2)/(-1))/(-1). Let u = -1 + b. Which is greater: u or c? c Let h be (14553/70)/(-11) - 2/(-5). Are h and -19 unequal? True Suppose -4*x - 1 = 5*r, -3*r - 3*x = -0*r. Which is greater: -2 or r? r Let m = 5785/14 - 413. Let q be 99/165 - ((-24)/10 - -2). Which is greater: q or m? q Let z be 10/(-25) - (-602)/(-10). Let r = 61 + z. Suppose 0 = 6*y - y. Which is smaller: y or r? y Let x(h) = -h**3 + h**2 + h + 1. Let w(m) = 6*m**3 - 2*m**2 - 3*m. Let s(c) = -w(c) - 5*x(c). Let l be s(-3). Are l and -2/27 equal? False Let f = 6 - 16. Let r = f - -8. Let j = 2 - 1. Which is smaller: r or j? r Let i = 3 - 4. Which is bigger: 0 or i? 0 Let q = -0.3 - -0.7. Is 2/7 at most as big as q? True Suppose -k - 5*m = 5 + 14, -2*m = 2*k + 6. Is -4/61 at least as big as k? False Let h be 52/(-24) - 1/(-2). Suppose -3*u + 2*u - 48 = 0. Let y be 2/(-9) + u/27. Which is smaller: y or h? y Let o = 2 - 4. Let n be (-2)/5 - o/5. Let c = 10/21 + 1/42. Which is smaller: n or c? n Suppose -39*m = -44*m. Which is bigger: m or -2/157? m Let z(w) = w**3 - 12*w**2 + 11*w + 6. Let c be z(11). Let h(k) = -k + 7. Let f(r) = -3*r + 21. Let o(j) = 3*f(j) - 8*h(j). Let n be o(c). Is n at most -1/4? False Let p
{ "pile_set_name": "DM Mathematics" }
What is f(i(l))? 562*l**2 + 364 Let z be -1 - (-8)/6*3. Let p(n) = 3*n - 6*n + z*n + 2*n**2. Let d(t) = -5*t + 3*t + 0*t. What is d(p(q))? -4*q**2 Let k(c) = 5530*c + 4. Let w(g) = 3*g**2. Calculate w(k(h)). 91742700*h**2 + 132720*h + 48 Let w(m) = 0*m + 2*m + 2*m. Let d(f) = -5*f. Let y be ((-35)/10 + 3)*6. Let h(v) = y*d(v) - 4*w(v). Let g(s) = 5*s. Calculate g(h(o)). -5*o Let i(p) = 8*p. Let c(g) be the second derivative of -g**3/6 - g**2/2 - 5*g. Let n(l) = 2*l + 3. Let w(h) = -3*c(h) - n(h). Calculate w(i(x)). 8*x Let o(f) = f**2. Let z(t) = -19*t + 782. Calculate o(z(d)). 361*d**2 - 29716*d + 611524 Let k(x) = -2*x + 1. Let f be k(4). Let q be f/(-14)*2*5. Let g(m) = q*m - 5*m - m. Let d(c) = 2*c**2. What is d(g(j))? 2*j**2 Let w(x) = x. Let o(a) be the third derivative of -9*a**4/8 + 2*a**3 + 12*a**2. Let h(z) = 2*z. Let s(c) = -12*h(c) - o(c). What is w(s(b))? 3*b - 12 Let d(w) = -w**2. Let j(l) be the third derivative of 85*l**4/24 + l**3/6 + 27*l**2 - 2. What is j(d(i))? -85*i**2 + 1 Let y(w) = 15*w. Let h(j) = -j + 15. What is h(y(c))? -15*c + 15 Let a(t) = 119*t**2 - 35*t + 70. Let f(x) = 10*x**2 - 3*x + 6. Let w(q) = 3*a(q) - 35*f(q). Let k(c) = -9*c. Give w(k(l)). 567*l**2 Let z(r) = 387717*r. Let p(n) = -2*n**2. Calculate z(p(b)). -775434*b**2 Let b(c) = -c. Let w(h) = h. Let r = -14 + 10. Let j(i) = r*b(i) - 5*w(i). Let s(p) be the first derivative of 4*p**3/3 + 9. What is j(s(z))? -4*z**2 Let b(u) = -146*u**2 + 5*u + 11. Let x(d) = -d. Give x(b(g)). 146*g**2 - 5*g - 11 Let o(a) be the first derivative of -a**2/2 + 15. Let m(j) = -j**2 + 2. Let s(g) = -6*g**2 + 11. Let n(l) = -22*m(l) + 4*s(l). Calculate o(n(d)). 2*d**2 Let h(d) = 4*d**2. Let f be 12/(-15) - (-12)/15. Suppose f = 3*n - 5 - 1. Let i(t) = 0*t + n*t - 2*t + 2*t. Give h(i(a)). 16*a**2 Suppose 0 = -5*s + 14 + 21. Let b(y) = 20*y**2 - 4*y**2 - s*y**2 - 11*y**2. Let w(j) = -2*j**2. Determine w(b(i)). -8*i**4 Let t(z) = 3*z**2. Let v(f) = 1 + 463*f + 0 - 548*f. Calculate t(v(o)). 21675*o**2 - 510*o + 3 Let m(s) = -19 - 9 + 9 + 19 - 3*s**2. Let l(d) = 23*d. What is m(l(y))? -1587*y**2 Let l(d) = -6*d**2. Let b(r) be the second derivative of -7*r**4/6 + r + 13. Determine b(l(t)). -504*t**4 Let t(s) = 4*s. Let o(g) = 3*g**3 + 3*g**2 + 22*g - 25. Let w be o(1). Let x(q) be the first derivative of w + 0*q + 3/2*q**2. Determine x(t(r)). 12*r Let d(h) = 2 - 2 + 4*h. Let o(y) = 9*y + 14. Let s(n) = -5*n - 8. Let f(g) = -g**2 + g - 4. Let i be f(0). Let q(k) = i*o(k) - 7*s(k). Calculate d(q(t)). -4*t Let l(r) = -r. Let d(o) = 20*o - 2. Let u(j) = -d(j) + 2*l(j). Let z(v) = -v. Determine z(u(k)). 22*k - 2 Let s(u) = 14*u + 1262. Let k(w) = 3*w. Determine k(s(n)). 42*n + 3786 Let x(o) = -4*o**2 - 8*o + 8. Let s(q) = q**2 + 3*q - 3. Let b(w) = 8*s(w) + 3*x(w). Let z(g) = -2*g + 3 - 3 + g. Give b(z(k)). -4*k**2 Let o(u) = -u**3 + 20*u**2 - 20*u + 22. Let p be o(19). Let m(j) = 2*j - 3*j + 6*j - p*j. Let t(s) = 2*s + 22. What is t(m(l))? 4*l + 22 Let k(w) be the first derivative of 41*w**3/3 + 65. Let z(i) = 2*i**2. Determine z(k(t)). 3362*t**4 Let b(c) = 64*c. Let x(w) be the first derivative of -w**5/60 - 14*w**3/3 + 2*w - 27. Let f(j) be the third derivative of x(j). Calculate f(b(m)). -128*m Let u(b) be the third derivative of -67*b**4/12 + 32*b**2 - 7. Let a(q) = -2*q. Give a(u(v)). 268*v Let a(h) = 15*h. Let m(y) = -2748*y**2. Calculate m(a(c)). -618300*c**2 Let s(m) = 2 - 4*m**2 + 6*m**2 - 2. Let c(d) be the first derivative of 0*d - 1 - 5/2*d**2. What is s(c(g))? 50*g**2 Let a(z) = 3*z**2. Let k = 1297 - 1294. Let p(u) be the second derivative of 0*u**2 + 1/3*u**k + 0 - 4*u. Give p(a(d)). 6*d**2 Let s(q) = 145*q**2 - 53092 + 62*q**2 + 53092. Let f(i) = -2*i**2. Give f(s(g)). -85698*g**4 Let i(z) = -7135897*z. Let g(q) = -2*q**2. What is i(g(l))? 14271794*l**2 Let z(v) = 8*v - 30. Let p(d) = 24*d - 84. Let t(w) = -5*p(w) + 14*z(w). Let k(s) = 4*s - 1. Calculate k(t(f)). -32*f - 1 Let v(q) = 33*q**2 - 5*q + 5. Let w(n) = -14*n**2 + n - 1. Let d(s) = v(s) + 5*w(s). Let a(h) = -2*h**2. Calculate d(a(y)). -148*y**4 Let d(p) = 17*p. Let x be (2/(-6))/((-1)/12)*211. Let u(n) = x*n**2 - 3 - 845*n**2 + 3. Give d(u(v)). -17*v**2 Let q(u) = 2745*u**2. Let v(k) = -64*k. What is v(q(x))? -175680*x**2 Let a(v) = -v - 53. Let t(m) = -1137*m. Determine a(t(l)). 1137*l - 53 Let y(a) = -6*a**2 - a. Let l(w) = -3*w**2 - 87. Give y(l(g)). -54*g**4 - 3129*g**2 - 45327 Let k(w) be the second derivative of -w**4/12 - 85*w + 5. Let o(x) = -3*x - 198. Calculate o(k(b)). 3*b**2 - 198 Let f(q) = 159*q. Let z(m) = -2*m**2 + 6. Let y(t) = -3*t**2 + 10. Let l(d) = -3*y(d) + 5*z(d). Determine f(l(n)). -159*n**2 Let n(d) be the third derivative of -5*d**4/12 + 5*d**2. Let z(b) = 30*b**2. Give z(n(l)). 3000*l**2 Let z(p) = -521*p**2. Let a(s) = -8*s**2. What is z(a(t))? -33344*t**4 Let h be (5 - 67)/(-1 + -1). Let k(g) = 17*g - h*g + 16*g. Let j(z) = -3*z**2 - 5. Let m(u) = 8*u**2 + 12. Let o(t) = -12*j(t) - 5*m(t). Give k(o(q)). -8*q**2 Let d(c) be the first derivative of -4*c**2 + 1. Let k(b) = -6307*b + 6309*b - 1 + 1. Determine k(d(t)). -16*t Let h(i) = -2*i**2 - 19. Let b(w) = 4*w + 13. Let z(j) = 15 + 0*j - 21 - 2*j. Let d(l) = 6*b(l) + 13*z(l). Determine h(d(a)). -8*a**2 - 19 Let i(v) = -v. Let w(x) = -x. Let f(u) = -2*i(u) + w(u). Let h(c) = 21 + 5 - 26 + 3*c. Give h(f(y)). 3*y Let c(s) be the second derivative of -5*s**4/12 - 114*s. Let g(h) = -9*h**2. Determine c(g(o)). -405*o**4 Let j(t) be the first derivative of t**3/3 - 2*t**2 + 1317. Let s(x) be the second derivative of -x**3/3 + x. Determine s(j(g)). -2*g**2 + 8*g Let h(a) = -18*a. Let d(k) = -9*k**2 + 21*k - 21. Let s(v) = v**2 - 2*v + 2. Let z(w) = 2*d(w) + 21*s(w). Calculate z(h(o)). 972*o**2 Let f(n) be the second derivative of n**4/12 + 658*n. Let p(y) = -405*y. Give p(f(l)). -405*l**2 Let x(j) = -12*j. Let p(u) = -3*u - 374 + 374. Calculate p(x(a)). 36*a Let b(v) be the third derivative of -3*v**4/8 + 9*v**2. Let c = -5 - -7. Let k(y) = 2*y**c + y - y. Give k(b(r)). 162*r**2 Let m(j) = -j**2 - j. Let t(h) = h**2 + 2*h. Let v(s) = -2*m(s) - t(s). Let w be 20/(1 + 0 + 1). Let q(k) = -10*k - 2*k**2 + w*k. Determine v(q(b)). 4*b**4 Let v(h) = 2*h**2 + 3. Let n(j) = -44*j + 20*j + 12*j + 12*j - 17*j**2. Determine n(v(r)). -68*r**4 - 204*r**2 - 153 Let o(f) = -9*f**2. Let m = 667 + -1333/2. Let l(g) be the first derivative of 0*g - 2 - m*g**2. Determine o(l(j)). -9*j**2 Let i(l) = -l + 171674. Let h(g) = g**2. Determine i(h(x)). -x**2 + 171674 Let m(i) = -2*i**2 + 45*i - 1542. Let y(z) = 2*z. What is y(m(f))? -4*f**2 + 90*f - 3084 Let y(a) = -106*a + 38*a + 34*a + 42*a. Let q(b) = -4*b**2. Give q(y(i)). -256*i**2 Let v(g) = 7*g**2 - 38*g - 3. Let q be v(6). Let x(k) = q*k**2 + 3*k**2 - 12*k**2 + k. Let s(t) = 2*t. Give x(s(u)). 48*u**2 + 2*u Let b(m) = 2*m**2. Let p(x) be the first derivative of -5*x**4/8 - 4*x**2 + 6. Let c(g) be the second derivative of p(g). Give b(c(o)). 450*o**2 Suppose -3*v + 2*v + 4 = 0. Let d(t) = -18 + 18 - 5*t + v*t. Let h(r) = r. What is h(d(g))? -g Let y(s) be the first derivative of 0*s + 5 - 3/2*s**2. Let m(t) be the second derivative of t**4/6 - 5*t. What is m(y(c))? 18*c**2 Suppose -6*n = 4*s - 12, -3*n = -3*s - 12 + 6. Let q(w) be the first derivative of 1/2*w**n + 0*w + 5. Let k(y) = y. What is q(k(h))? h Let l(c) = 6*c + 2*c + 45*c. Let v(j) be the second derivative of -j**3/6 + 32*j. Determine l(v(g)). -53*g Let t(c) = 4*c. Let j(p) = p - 2. Let s(v) = 1. Suppose -2*n + 4 = y + 2, -3*n = -2*y - 10. Suppose n*a = 5 - 1. Let x(l) = a*s(l) + j(l). Calculate x(t(m)). 4*m Let v = -15 + 19. Let n(s) = 7*s - 3*s + v*s. Let a(l) = 3*l**2 - 3*l + 3. Let r(i) = -3*i**2 + 4*i - 4. Let p(o) = 4*a(o) + 3*r(o). Give p(n(b)). 192*b**2 Let q(g) = 22*g + 2. Let c(f) = -50*f**2. What is c(q(b))? -24200*b**2 - 4400*b - 200 Let j(f) = 21*f**2. Let c(l) = 759 - l**2 - 759 - 2*l**2. What is c(j(z))? -1323*z**4 Let n(z) = -z. Let v(y) = 918*y**2 + y - 7. Determine n(v(o)). -918*o**2 - o + 7 Let f(q) = -17*q + 19 + 16 - 35 + 0*q. Let i(w) = 5*w. Determine f(i(t)). -85*t Let m(c) = -3*c**2. Let y(r) = r**2 + 2*r - 1. Let a(v) = -7*v**2 - 3*v + 2. Let d(i) = -a(i) - 2*y(i). Determine m(d(o)). -75*o**4 + 30*o**3 - 3*o**2 Let n
{ "pile_set_name": "DM Mathematics" }
a composite number? True Is 2283323041 composite? True Is 1558048949 a prime number? True Is 17485149169 composite? True Is 67555295333 a prime number? True Is 18306110413 composite? True Is 153694129577 prime? True Is 6889457797 prime? True Is 13336473569 prime? False Is 48495340931 composite? False Is 667727129 a prime number? True Is 12598542023 a composite number? True Is 10998286787 a composite number? True Is 11396532893 composite? True Is 349798373 a prime number? True Is 33178099561 composite? False Is 384179777 a composite number? True Is 42646567 composite? True Is 4014960709 a composite number? True Is 29616620897 prime? False Is 2407347691 prime? False Is 1326124201 prime? False Is 1923902103 composite? True Is 1037174447 a composite number? False Is 44276756623 composite? True Is 5337238069 prime? False Is 1574181437 a prime number? True Is 7048460905 a prime number? False Is 750489989 a composite number? False Is 15585686807 prime? False Is 5879786699 a composite number? False Is 16133452493 a composite number? True Is 8659229881 a prime number? True Is 237990349 a prime number? True Is 537619547 prime? False Is 10445261503 a composite number? True Is 2032762771 a composite number? True Is 4742398389 prime? False Is 70043551367 composite? True Is 793296311 composite? False Is 5468036799 prime? False Is 149534392537 a composite number? False Is 8835065749 prime? False Is 286254101771 prime? False Is 2832862051 a prime number? False Is 36834861617 prime? False Is 9582277751 a composite number? False Is 228267073 composite? True Is 339517033 composite? True Is 523447913 prime? True Is 224928521 prime? True Is 335765191 composite? True Is 24217994755 composite? True Is 1709362483 a prime number? True Is 18967924223 prime? False Is 742950311 prime? True Is 1156636979 a prime number? True Is 14975047469 a composite number? False Is 4039064329 composite? True Is 37834558787 a prime number? False Is 292537217 composite? True Is 8741589861 a composite number? True Is 2997325517 prime? False Is 24399191 a prime number? False Is 17044499167 prime? True Is 1351352663 composite? False Is 2535242771 prime? True Is 2599407733 a composite number? True Is 1352431901 a composite number? True Is 20089737193 a composite number? False Is 278831218007 prime? True Is 3208727369 prime? True Is 3633714839 prime? False Is 14505325189 a composite number? False Is 839674643 prime? False Is 6701582837 a composite number? True Is 372395999 a composite number? True Is 9717577013 a prime number? False Is 70319111 composite? False Is 7033723001 a prime number? True Is 45893829251 prime? True Is 42582465619 a prime number? False Is 6044468921 composite? False Is 3602279531 composite? False Is 320123 a prime number? False Is 21996254771 a prime number? False Is 15799151549 a composite number? False Is 57892336807 composite? False Is 48065068931 a composite number? True Is 56560789 a prime number? True Is 141709521157 a prime number? True Is 176709347 prime? True Is 2309828723 a prime number? True Is 14470170913 a composite number? True Is 11671461499 a composite number? False Is 5395427599 composite? True Is 2918692043 a prime number? False Is 607554613 a composite number? False Is 2376697283 composite? False Is 16928190731 composite? False Is 87054545593 a composite number? True Is 1440031997 a composite number? True Is 6531809363 a composite number? True Is 10262553179 a composite number? False Is 18391909477 prime? True Is 58942337 a composite number? False Is 6169304333 a prime number? False Is 326999357 a composite number? False Is 97047037 prime? True Is 1511072903 prime? False Is 1345975991 prime? False Is 13179513317 a prime number? False Is 19633837291 prime? False Is 7056172979 a composite number? True Is 454247321 prime? False Is 2742145499 prime? True Is 11207695709 a prime number? False Is 18138883313 a prime number? True Is 3786837931 prime? True Is 4823678263 composite? False Is 16041155381 composite? True Is 31087139 a prime number? True Is 94524071 prime? True Is 5684340521 a composite number? True Is 5131842197 composite? True Is 2152206149 prime? False Is 19803712469 a composite number? False Is 151496423087 prime? True Is 66471704939 a composite number? False Is 1848874553 composite? True Is 195131208865 a composite number? True Is 5425301 prime? False Is 48927208403 prime? False Is 2765950691 a prime number? False Is 293634199 composite? False Is 56707867 a composite number? True Is 7870330821 a prime number? False Is 16633144159 a prime number? False Is 12754643917 prime? True Is 21582605987 a composite number? True Is 1233473587 a prime number? True Is 87601613 a composite number? True Is 4059567269 a composite number? False Is 603246659 a composite number? False Is 1272883049 prime? True Is 11512622311 prime? True Is 15072034687 prime? False Is 7455021667 prime? True Is 20530678871 composite? True Is 3996661621 composite? False Is 481235429 a prime number? True Is 174107233 prime? True Is 139060989313 prime? True Is 14511372739 prime? True Is 9760848023 a composite number? True Is 3308633507 a composite number? False Is 17694091757 composite? False Is 7072512977 a prime number? True Is 14623426079 a composite number? True Is 11280268451 composite? True Is 29450967433 a prime number? False Is 408160517 a prime number? True Is 9470551 a prime number? True Is 475768819 a composite number? False Is 328627927 composite? True Is 2099202179 a composite number? False Is 2321273983 a composite number? True Is 278938151 composite? True Is 303013631 a prime number? False Is 4681692457 a composite number? True Is 44583865393 a prime number? True Is 3413124019 a prime number? True Is 3805785509 composite? False Is 1739021827 prime? True Is 22264291207 a composite number? False Is 1286165033 composite? True Is 101485162 composite? True Is 53717012018 a composite number? True Is 2779531619 prime? True Is 16415051377 a prime number? False Is 149878201 composite? True Is 11008543487 prime? True Is 13807440161 prime? True Is 16170153641 a composite number? False Is 10582118279 prime? True Is 142928449 composite? False Is 43946962867 a composite number? False Is 3620975294 prime? False Is 740736093 a composite number? True Is 2643071609 a prime number? True Is 3779712635 prime? False Is 20639776154 a composite number? True Is 557961069 composite? True Is 87802213 composite? False Is 1176944069 a composite number? True Is 675333319 prime? True Is 1924881337 a composite number? False Is 50117371 prime? True Is 12070543657 composite? False Is 1788928091 prime? True Is 2513118913 composite? True Is 1767945497 a prime number? False Is 1845084161 a composite number? False Is 393298237 composite? True Is 10169512277 prime? True Is 57631580927 prime? True Is 4790576023 a prime number? True Is 307028669 prime? True Is 5409858299 a composite number? True Is 741009091 a prime number? True Is 673304483 a prime number? True Is 136041144653 a composite number? False Is 3015764515 prime? False Is 8541894569 a composite number? True Is 545195731 a composite number? False Is 2536965811 composite? True Is 3289355581 a prime number? True Is 28512293973 prime? False Is 513577331 prime? False Is 58548161 composite? True Is 7690322069 composite? True Is 207553861 composite? True Is 2572451711 composite? False Is 45306090217 composite? True Is 1985012201 a prime number? True Is 763913483 composite? True Is 1433037949 prime? False Is 272742942337 prime? True Is 112493729 composite? False Is 244882763 a composite number? True Is 791111879 prime? False Is 3626302363 composite? False Is 162257873 a composite number? False Is 61667381 a composite number? True Is 5844063647 a prime number? False Is 373701229 prime? False Is 4934033723 a prime number? True Is 14233421365 a prime number? False Is 53703653 composite? True Is 393144971 a prime number? False Is 4416177149 a composite number? False Is 470324369 a prime number? False Is 9078206903 prime? False Is 50616150059 a composite number? False Is 1695120233 a prime number? True Is 1768516417 a prime number? False Is 5892657583 a prime number? True Is 1469100041 a prime number? False Is 27886773121 a prime number? True Is 1000541260
{ "pile_set_name": "DM Mathematics" }
st value? (a) -11031/25 (b) -2/7 (c) -1/18 (d) 0.3 d What is the smallest value in 0.1, 2/451, 1/47540? 1/47540 Which is the second biggest value? (a) 4/3 (b) -32024 (c) 0.1 c What is the third smallest value in 0.0336, 0.1, 0.839, -0.1, -5? 0.0336 Which is the fourth smallest value? (a) -3 (b) 8/9 (c) -1236.79 (d) 1 d What is the fourth smallest value in -0.2, 7/13, -2/7, 12, -5, 3, -1? -0.2 What is the second smallest value in 0.85, -0.1, 31/5, -8, 0.5, 4/5, -3? -3 Which is the third biggest value? (a) -9 (b) 992 (c) 2/11 (d) -0.03 d Which is the fifth biggest value? (a) 0.01 (b) -3 (c) 5 (d) -13 (e) 0.2 (f) -37.9 (g) 1/2 b What is the smallest value in -21/520, 29/11, 2? -21/520 What is the third biggest value in 1, 5/4, -3/8, -0.38916, 0.2? 0.2 What is the second biggest value in -5, 3/4, 23, -0.02, 4, 27/4? 27/4 Which is the biggest value? (a) -2 (b) -1/1513 (c) 0.03 (d) 12 d What is the fourth biggest value in 0.3, 0.05, -461, -16/29? -461 What is the fifth smallest value in -5, -1/3, 292, 3/2, -1/2, -45, 1? 1 Which is the second biggest value? (a) 2/55 (b) -0.1299 (c) 47 a Which is the fourth smallest value? (a) -487 (b) -0.02 (c) 1 (d) 1/522 (e) -0.3 d What is the second biggest value in 4, -13, 4/3, -0.4, 3, -5/6, 1845? 4 What is the fifth biggest value in -29313, 3, 2, 4, -1, 52? -1 Which is the sixth smallest value? (a) 39 (b) -3 (c) -1/2 (d) -4 (e) -1 (f) 6731 (g) 3 a What is the second biggest value in 0.08, 23.017023, 1/3? 1/3 What is the sixth biggest value in -6883, 2, 0.5, 0.6, -3, -2/3, -1/9? -3 Which is the smallest value? (a) 10990 (b) 0.5 (c) 348 b What is the sixth biggest value in -1/5, -1/3, 6/5, 9.5, -0.1, 0.27? -1/3 Which is the biggest value? (a) -0.1 (b) 6304 (c) -196 b What is the biggest value in 626.9, -2, -42596? 626.9 Which is the fifth biggest value? (a) 1/3 (b) 2 (c) 5 (d) -3 (e) -0.023 (f) -5 d What is the biggest value in -0.5, 9.4, 1/38, 318, -1/4? 318 What is the fourth smallest value in 0.022689, 3, -6, 0.2? 3 Which is the biggest value? (a) 1/6126 (b) -22/43 (c) 0.1 c What is the second smallest value in 5/3, 55/3, -26, -0.3, 1/9, 1? -0.3 What is the second biggest value in -10, -0.1, 0.19, -4030, 3? 0.19 What is the third biggest value in -32, -92, 0.092, 0.08? -32 What is the fifth biggest value in -1, -5, 94, -2, -284.4? -284.4 What is the third smallest value in 3, 2/55, -6, 24, 1, 1/3, 0? 2/55 Which is the second smallest value? (a) -2/9 (b) 1/5 (c) 1360206 b What is the fourth biggest value in 10, 24, -2/13, 5, 35/256? 35/256 What is the fourth smallest value in -5, -2/13, -2285384, -3? -2/13 Which is the smallest value? (a) -1/173457 (b) -0.2 (c) -2/25 b What is the third biggest value in -2/5, -19, -0.05649, 2/9, 94? -0.05649 Which is the second biggest value? (a) -3/8 (b) -55/4 (c) -9525 (d) -0.13 a What is the second biggest value in 2.6, 0.6, -0.09, -1, 0, 0.01, 5? 2.6 Which is the smallest value? (a) -3272 (b) -57 (c) -2/21 (d) -2 (e) 1 a Which is the second smallest value? (a) -4/11 (b) 0.0552 (c) 3.5 b Which is the seventh smallest value? (a) 6/11 (b) -0.5 (c) 45 (d) 2/3 (e) -2 (f) 15/4 (g) 30 c Which is the fourth smallest value? (a) 1/32 (b) -869 (c) -1/7 (d) 0.3 d What is the fourth smallest value in -0.4, 3/8, 0.4, 2/9, 192, 0, 0.52? 3/8 What is the fifth smallest value in 0.2508, -0.1, 0, 5, 0.4, 1/3? 0.4 What is the second biggest value in -1, 33.5, 0.24, 1, 10, 4/25? 10 Which is the fifth biggest value? (a) 2/3 (b) -1/3 (c) 9 (d) -2/5 (e) 0.033 (f) 2/5 (g) -38 b Which is the third smallest value? (a) 30 (b) -320401 (c) -17 (d) -3 d What is the second smallest value in -0.005, 0.06, 7/264? 7/264 What is the third smallest value in -3, -0.1, 0.11, -2/943, 13? -2/943 Which is the second smallest value? (a) -3/92 (b) 0.1 (c) -11703/2 a What is the second smallest value in -6, -1/2, 3, 15740, 8? -1/2 What is the third smallest value in 2, -0.011, -0.4, 2/17, 185? 2/17 Which is the biggest value? (a) -0.3 (b) 1/56 (c) -1/9 (d) 0.017 (e) -0.4 (f) 0.4 (g) -376 f What is the smallest value in -2/7, 0.6, -295, -647, -8, 5? -647 Which is the fifth smallest value? (a) 3 (b) -6.8 (c) 2/7 (d) 5 (e) 203 (f) -14/5 (g) 2 a Which is the second biggest value? (a) 4/19 (b) 1.3 (c) -3 (d) -5 (e) 2/9 (f) 17 (g) 2/5 b What is the second biggest value in 56, -3, -3/2, -28362? -3/2 What is the second smallest value in 22.6, 0.1, -25, 121? 0.1 Which is the second biggest value? (a) -420 (b) -0.3 (c) -3 (d) -339 (e) 0.3 (f) -3/5 b What is the smallest value in 5, 0, -2/7, -110, -2051, 3? -2051 What is the sixth smallest value in -0.2, -13/2, -1, 0.03, -1008, 0.5? 0.5 What is the sixth smallest value in -8, 0.006, 0.4, 10, -1/3, 12? 12 Which is the second smallest value? (a) 17/3 (b) 35 (c) 0.5 (d) -1 (e) 310 c Which is the third biggest value? (a) 1.3 (b) -103/2 (c) -61.5 c What is the smallest value in -4/9, 0.2, 132, -2, -65? -65 Which is the third smallest value? (a) -9 (b) -477.72 (c) -1 c What is the third smallest value in 0.1091, -0.5, -0.3, -75? -0.3 What is the fourth biggest value in -4, 0.3, 16, -6, 1/4, -4.339? -4 What is the sixth smallest value in -44, 6/13, 3/4, 3/5, 0.21, -1/5? 3/4 What is the second biggest value in -0.3, -3838, -5/4, 677, 4/7? 4/7 What is the second biggest value in 0.2, -0.282, 0.10543? 0.10543 What is the smallest value in -64, 0.1, -756, 0.3, 5, -2/9? -756 Which is the third biggest value? (a) -1/4 (b) -4 (c) 0.5 (d) -1/46 (e) 133.5 (f) 8 c Which is the fifth biggest value? (a) 2/7 (b) 0.21 (c) -6 (d) -2/15 (e) -0.238 (f) -0.2 e What is the third biggest value in -1, 1/4, 0.3, 5, -19/42, -3? 1/4 Which is the fourth biggest value? (a) -1/19 (b) -0.2 (c) -0.4 (d) -42 (e) 150 (f) -2/15 b What is the biggest value in 12.47, 7, -1/475? 12.47 Which is the smallest value? (a) 0 (b) -1 (c) -12/13 (d) -12 (e) -0.045 (f) -99.2 (g) 0.2 f What is the fourth biggest value in 0.1, -956, 4, -2, 2873? -2 What is the fifth smallest value in 98, -2, -0.08, 8, 3/7, -11? 8 What is the second biggest value in -0.4, 40, -0.07, 359? 40 Which is the fifth biggest value? (a) 1/4 (b) -1376 (c) 0 (d) -9 (e) 2 (f) 53 d Which is the fourth biggest value? (a) -218 (b) -417 (c) 3 (d) 0.2 (e) 0.1 (f) -2/7 f What is the third biggest value in -13006.859, 6, 5? -13006.859 What is the biggest value in 0.118993, 7, -0.1, 1/3, -1/5, 3? 7 What is the fourth smallest value in 0, -2.2, -8/507, -0.2? 0 What is the sixth smallest value in -2, 6544, -4, -12, 2/23, 2/7? 6544 What is the fifth biggest value in 49, 1/3, 18, -0.1, -2/7, 0.06, 0? 0 Which is the biggest value? (a) -4 (b) 5 (c) -606 (d) 14.325 d What is the fifth biggest value in -10, -19057, -1/4, -2/7, 2? -19057 What is the fifth biggest value in 1, -1290, -15, 0.5, 13? -1290 What is the fifth smallest value in 2/3171, 151, -2/9, 1, 0.4? 151 What is the third smallest value in -3, 7/4, 7/2, 71/9, 0.4? 7/4 Which is the sixth smallest value? (a) 12 (b) 41 (c) -1 (d) -3 (e) -4 (f) -5 (g) 1 a What is the third smallest value in 3, -0.11, 85, 27, 172? 27 What is the fifth smallest value in 143, 4, 1/131, 94/3, 1/6? 143 What is the second smallest value in 0, -2, -2215092, 5/4? -2 Which is the fifth smallest value? (a) 0.29 (b) -3.35 (c) -0.1 (d) -5 (e) 0.08 (f) 0.1 f What is the fourth smallest value in -2/3, 10, -2/7, -2.8383? 10 Which is the third smallest value? (a) 0.2 (b) -2611 (c) -2/7 (d) 29/5 (e) 1/52 (f) -0.1 (g) 3/4 f What is the sixth biggest value in 0.1, 0.2, 0.4, -3/2, 3/8, -3, 143480? -3/2 Which is the third biggest value? (a) -128 (b) 486.2 (c) 13 a Which is the second biggest value? (a) 1071 (b) -330 (c) 2/423 c What is the third biggest value in -54/109, 3/5, -50, 0.4, 2/9, 0.2, -5? 2/9 What is the third smallest value in -0.038, -1, -5, 102, 0.02? -0.038 What is the fourth biggest value in -1/4, -2/7, 1/17, -3260? -3260 What is the third biggest value in 3, -23725, -1/2? -23725 Which is the sixth smallest value? (a) -8 (b) -7/2 (c) -5/6 (d) -0.5 (e) 0.4 (f) 2.35 (g) -0.3 e Which is the sixth smallest value? (a) -0.1 (b) 0.07
{ "pile_set_name": "DM Mathematics" }
0*q**2. Calculate n(v(d)). 100*d**4 Let h(w) = -3*w. Let u(l) = 58*l**2 + l. Calculate h(u(c)). -174*c**2 - 3*c Let h(w) = -4*w. Let u(d) be the first derivative of -d**4/12 - 2*d + 3. Let p(z) be the first derivative of u(z). Determine p(h(i)). -16*i**2 Let f(w) = -w. Let h(g) = 21*g**2 + 2. Let k(v) = 1092*v**2 + 105. Let m be ((-2)/3)/((-3)/(-9)). Let y(j) = m*k(j) + 105*h(j). What is f(y(n))? -21*n**2 Let h(j) = 2. Suppose -5*l = -15 - 20. Suppose -3*f - 19 = 2*c - 0*c, -5*f = 25. Let b(w) = -w + 7. Let o(g) = c*b(g) + l*h(g). Let v(s) = s. Calculate v(o(y)). 2*y Let a(n) = -2*n + 6. Let q(c) = -4*c + 13. Let x(b) = -13*a(b) + 6*q(b). Let h(i) = -3*i. Calculate h(x(d)). -6*d Let n(z) = z**2 - z**2 - z**2. Let a(j) be the first derivative of j**4/6 - j**2 + 2. Let r(v) be the second derivative of a(v). Determine r(n(p)). -4*p**2 Let t(o) = -5*o**2. Let r(q) = -q**2. Let y(c) = c**2. Let f(h) = 4*r(h) + 5*y(h). Determine f(t(k)). 25*k**4 Let c(n) = n**2. Let b(s) be the second derivative of 5*s**4/12 + s. Give c(b(i)). 25*i**4 Let v(g) = -3*g + 3. Let p(c) = -6*c + 5. Suppose 3*o = -20 + 5. Let m(r) = o*v(r) + 3*p(r). Let d(b) = -2*b**2. Determine d(m(l)). -18*l**2 Let s(x) be the first derivative of -1/2*x**2 + 0*x - 2. Let l(h) = -h + h - 2*h. What is s(l(a))? 2*a Let i(w) = 2*w**2. Let d(q) = -1686*q**2. Give d(i(b)). -6744*b**4 Let c(k) = -4*k**2 + 10. Let s(a) = 9*a. Calculate c(s(u)). -324*u**2 + 10 Let l(x) be the first derivative of -20*x**3/3 + 45. Let f(p) = 3*p**2. Determine f(l(i)). 1200*i**4 Let p(s) = -2*s**2. Let d(m) = 475*m**2. Give p(d(t)). -451250*t**4 Let s be 4/2 - (1 - 1). Let v(i) = -s*i - i**2 + 2*i. Let a(q) be the first derivative of -q**3/3 + 8. What is v(a(y))? -y**4 Let k(h) = 3*h**2 + 4*h - 4*h. Let g(u) = -2*u**2 + 3*u**2 + 4*u**2 - u**2. Determine k(g(r)). 48*r**4 Let v(c) = -10*c. Let w(u) = 7*u**2 - 6*u + 6. Let j(l) = -13*l**2 + 11*l - 11. Let a(p) = 6*j(p) + 11*w(p). Give v(a(s)). 10*s**2 Let d(k) = 2*k. Let l(t) be the second derivative of 0 - 1/6*t**3 - 2*t + 0*t**2. What is l(d(g))? -2*g Let v(k) be the first derivative of 5/3*k**3 + 0*k + 0*k**2 - 8. Let y(f) = -1. Let o(m) = 2*m + 10. Let i(q) = -o(q) - 10*y(q). Determine v(i(a)). 20*a**2 Let x(t) = 2*t - 17. Let u(w) = -4*w**2. Give u(x(h)). -16*h**2 + 272*h - 1156 Let d(y) = y**2. Let b(a) = -3*a + 1182. Determine d(b(t)). 9*t**2 - 7092*t + 1397124 Let i(m) = -6*m. Let k(c) = c + 19. Determine i(k(g)). -6*g - 114 Let k = 8 - 6. Let v(g) = -3*g**k + g**2 + 3*g**2. Let d(b) = b. Give d(v(h)). h**2 Let n(m) = -2*m. Let v(g) = 7*g - 2. Let t(x) = -7*x + 3. Let f(i) = -2*t(i) - 3*v(i). Give f(n(o)). 14*o Let n(m) = -3*m**2. Let c(k) = -11*k**2 - 20. Give c(n(a)). -99*a**4 - 20 Let j(w) = 2*w. Let q(a) = -2*a**2 + 743. What is j(q(k))? -4*k**2 + 1486 Let y(v) = -v**2. Let r(o) = 185*o**2. Calculate r(y(h)). 185*h**4 Let w(u) be the third derivative of u**4/24 + 12*u**2. Let a(l) = 22*l**2. Give w(a(r)). 22*r**2 Let f(a) = -15*a**2 - 12*a**2 + 29*a**2. Let i(u) = 4*u**2. What is f(i(n))? 32*n**4 Let q(d) = 9*d**2 - 2. Let r(s) = -2*s. Calculate r(q(p)). -18*p**2 + 4 Let w(l) = l. Let d(g) = -130 + 130 + 10*g. What is w(d(s))? 10*s Let y(a) = -7*a - a + 7*a. Let l(c) be the first derivative of -c**2 + 2. Determine l(y(v)). 2*v Let n(z) = 2*z. Suppose -s + 4*s = -o, -o = -4*s. Let d(x) be the second derivative of -2*x - 1/2*x**3 + 0 + o*x**2. What is d(n(t))? -6*t Let z(g) = 1872 - 1872 - g. Let k(a) = 0*a + 0*a + a. Calculate k(z(x)). -x Let r(d) = -14*d - 1. Let f(b) = -81*b - 2*b**2 + 81*b + 4*b**2. Give r(f(v)). -28*v**2 - 1 Let f(y) = 2*y**2. Let h(c) = -16229*c. Give h(f(d)). -32458*d**2 Let c(z) = -z. Let q(x) = x**2 - 4*x**2 + 5*x**2. Calculate q(c(a)). 2*a**2 Let n(x) = 2*x**2. Let m(v) be the third derivative of v**7/1680 + v**5/30 - 2*v**2. Let k(s) be the third derivative of m(s). Calculate k(n(d)). 6*d**2 Let z(b) = -2*b. Let q(y) = -6*y. Let w be ((-16)/(-3))/((-2)/(-6)). Let x(f) = w*z(f) - 5*q(f). Let j(o) = -4*o. Give j(x(t)). 8*t Let t(d) be the third derivative of -d**5/30 + 2*d**2. Let k(s) = -2*s**2. Determine t(k(b)). -8*b**4 Let h(b) = -2*b**2. Let l(i) = -1182*i**2. Give l(h(d)). -4728*d**4 Let r(w) be the second derivative of 0*w**2 - 1/6*w**3 + 0 - 4*w. Let l(n) = -2*n. Give l(r(q)). 2*q Let b(m) = -2*m. Let w(t) = -t - 540. Give b(w(q)). 2*q + 1080 Let c(s) = -2*s**2. Let f(t) = 4*t - 59. Determine c(f(z)). -32*z**2 + 944*z - 6962 Let a(w) = 3*w + 4. Let r(i) = i + 1. Let x(k) = -a(k) + 4*r(k). Let f(b) = 14*b**2. Determine f(x(z)). 14*z**2 Let b(o) = -60*o**2. Let t(q) = 25*q. Calculate b(t(d)). -37500*d**2 Let d(c) = 4*c. Let j(i) = i**2 + i - 1. Let q(h) = -2*h**2 - h + 1. Let v(r) = 5*j(r) + 5*q(r). Calculate d(v(n)). -20*n**2 Let h(q) = 3*q**2 - 111. Let b(s) = 18*s**2. Determine h(b(y)). 972*y**4 - 111 Let t(l) = -13*l**2. Let i(a) = -2*a - 299. Give t(i(g)). -52*g**2 - 15548*g - 1162213 Let f(z) = -z**2. Let i = 3 - -5. Let p(l) = i*l - 11*l + 0 + 0. Calculate p(f(n)). 3*n**2 Let k(p) = -p. Let m(h) = 17*h**2 - 46*h**2 + 206*h - 206*h. Determine k(m(l)). 29*l**2 Let j(r) = 6*r**2 - 14*r**2 - 4*r**2. Let x(o) = -5*o**2. What is x(j(h))? -720*h**4 Let v be (-53)/(-2) + 3/(-6). Let g(t) = 4*t**2 - 3*t. Let z(j) = 11*j + j - 17*j**2 + j. Let u(r) = v*g(r) + 6*z(r). Let f(i) = -i**2. Determine u(f(p)). 2*p**4 Suppose -4*d + 20 = -20. Let h(o) = d*o**2 + 8*o**2 - 11*o**2. Let s(j) = -j. Let p(u) = -3*u. Let a(r) = 4*p(r) - 10*s(r). What is a(h(g))? -14*g**2 Let t(q) = -q - 5. Let o(h) = -h - 6. Let z(i) = 5*o(i) - 6*t(i). Let a(b) = -39*b**2. Give a(z(f)). -39*f**2 Let d(u) = u**2. Let w(k) = 10*k**2 + 6*k. Let o(q) = 9*q**2 + 5*q. Let c(x) = 6*o(x) - 5*w(x). Calculate c(d(s)). 4*s**4 Let v(y) = y**2. Let o(g) = 57*g - 14*g + 3*g. Give v(o(u)). 2116*u**2 Let d(i) = -2*i - 17282 + 17282. Let s(u) = -24*u**2. What is s(d(k))? -96*k**2 Let w(k) = -2*k. Let h(z) be the third derivative of -z**2 + 0 + 0*z**3 + 0*z - 1/8*z**4. Determine h(w(r)). 6*r Let l(j) = -2*j. Let t(w) = -7844*w - 1. Determine l(t(x)). 15688*x + 2 Let r(z) = -6*z + 5. Let w(f) = f - 1. Let p(c) = r(c) + 5*w(c). Suppose -h = -2*h. Let g(i) = -2*i + h*i + 0*i. Calculate g(p(d)). 2*d Let f(i) = -i**2. Let q(d) = -19*d**2 + 13*d - 13. Let p(u) = 2*u**2 + 2 + 0 - 2*u + u**2. Let w(j) = 39*p(j) + 6*q(j). Calculate w(f(r)). 3*r**4 Let w(q) = -2*q**2. Let k(o) = -o**2 - o. Let v(j) = 9*j**2 + 5*j. Let d(m) = 5*k(m) + v(m). Give d(w(u)). 16*u**4 Let p(x) = -x + 38. Let a(o) = 2*o. Determine p(a(s)). -2*s + 38 Let d(z) = z. Let x(j) = -2*j - 104. Calculate d(x(u)). -2*u - 104 Let m(p) be the second derivative of -p**3/2 + 4*p. Let i(l) = -l + 5*l - 3*l. What is i(m(r))? -3*r Let h(a) = -80 + 2*a**2 + 42 + 30 + 25. Let t(f) = -2*f. Determine t(h(c)). -4*c**2 - 34 Let c(v) = v**2. Let l(q) be the second derivative of 0*q**3 - 1/6*q**4 + 0 + 2*q + 0*q**2. Give c(l(w)). 4*w**4 Let h(s) = 511*s**2. Let a(k) = 5*k. What is a(h(c))? 2555*c**2 Let r(b) = 18 - 18 - b**2 - 2*b**2. Let t(j) = 5*j. Let z(u) = -u. Let c(g) = g**3 + 3*g + 3. Let d be c(-2). Let f(a) = d*z(a) - 2*t(a). What is r(f(q))? -3*q**2 Let h(k) be the first derivative of -k**5/120 + 2*k**3/3 - 2. Let p(q) be the third derivative of h(q). Let o(u) = 3*u**2. What is o(p(y))? 3*y**2 Let m(r) = 36*r. Let v(d) = -d. Let x(g) = m(g) + 27*v(g). Let t(w) = 2*w + 3. Let u(j) = 5*j + 8. Let y(q) = -8*t(q) + 3*u(q). Determine x(y(s)). -9*s Let x(z) = 4*z**2. Let g(j) = 0*j - 3*j + 2*j + 0*j. Give x(g(o)). 4*o**2 Let z = 4 - 2. Let b(u) = z*u + u - u. Let q(w) be the first derivative of -3*w**2/2 - 3. Calculate b(q(c)). -6*c Let u(j) be the second derivative of 11*j**4/12 + 2*j - 13. Let y(h) = 4*h**2. Calculate u(y(z)). 176*z**4 Let m(u) = -231 + 231 + 3*u. Let c(o) = -2*o**2 + 0*o**2 + 0*o**2. What is m(c(g))? -6*g**2 Let y(p) = -p**2. Let v(s) = 6*s**2 + 5*s - 5. Let x(z) = 6*z**2 + 6*z - 6. Let w(m) = 6*v(m) - 5*x(m). Calculate w(y(q)). 6*q**4 Let y(r) = r. Let t(f) = 28*f - 10*f - 6*f - 19 - 10*f. Determine y(t(h)). 2*h - 19 Let m(p) be the first derivative of 2*p**3/3 + 1. Let c(v) be the second derivative of v**4/6 + 53*v. Give m(c(q)). 8*q**4 Let d(t) = -9*t. Let n(i) = -66*i. Give d(n(a)). 594*a Let v(m) = -4*m*
{ "pile_set_name": "DM Mathematics" }
s of a micrometer in nanometers? 2600 What is three eighths of a litre in millilitres? 375 How many months are there in 1/4 of a century? 300 How many nanometers are there in 67.21357mm? 67213570 How many milligrams are there in 3/40 of a kilogram? 75000 How many litres are there in 278030.4 millilitres? 278.0304 How many milliseconds are there in 5/6 of a minute? 50000 What is 0.4088719 decades in millennia? 0.004088719 What is 0.1986915 litres in millilitres? 198.6915 What is 15.08352 decades in years? 150.8352 What is 6/5 of a century in months? 1440 How many kilograms are there in sixty-four fifths of a tonne? 12800 Convert 29.9531kg to milligrams. 29953100 What is 0.874325l in millilitres? 874.325 How many grams are there in 3/8 of a kilogram? 375 How many grams are there in 67.1651 nanograms? 0.0000000671651 How many kilograms are there in 32/5 of a tonne? 6400 How many nanograms are there in 79/2 of a microgram? 39500 Convert 341.0519l to millilitres. 341051.9 How many minutes are there in 1/6 of a hour? 10 What is 38922.95ml in litres? 38.92295 What is 5/4 of a meter in millimeters? 1250 What is seven quarters of a hour in minutes? 105 How many millennia are there in 395.8191 decades? 3.958191 What is seven halves of a meter in centimeters? 350 What is six fifths of a kilogram in grams? 1200 What is fifty-five halves of a litre in millilitres? 27500 How many millilitres are there in 15318.29 litres? 15318290 Convert 552088.7 millilitres to litres. 552.0887 What is 10454.06 centuries in decades? 104540.6 How many seconds are there in 7/3 of a hour? 8400 How many millimeters are there in 603.5146 meters? 603514.6 Convert 52428.15 years to months. 629137.8 Convert 4.247259 centimeters to kilometers. 0.00004247259 How many hours are there in 4/3 of a day? 32 How many centimeters are there in 683.9057 millimeters? 68.39057 What is 389519.8 weeks in nanoseconds? 235581575040000000000 How many milligrams are there in 48/5 of a gram? 9600 What is 0.6332223 millennia in months? 7598.6676 How many millilitres are there in 5/4 of a litre? 1250 What is 3/5 of a kilogram in grams? 600 What is 0.2926894l in millilitres? 292.6894 How many nanometers are there in 25/4 of a micrometer? 6250 How many decades are there in 900.9668 years? 90.09668 Convert 1362.971 litres to millilitres. 1362971 Convert 1182.03 hours to days. 49.25125 How many millimeters are there in five eighths of a meter? 625 Convert 572.2581 nanograms to tonnes. 0.0000000000005722581 How many kilograms are there in 11/4 of a tonne? 2750 What is seven quarters of a milligram in micrograms? 1750 Convert 0.4847226ns to seconds. 0.0000000004847226 What is seventeen halves of a millennium in years? 8500 What is 0.812721 hours in microseconds? 2925795600 What is 7/4 of a gram in milligrams? 1750 How many months are there in 71/4 of a year? 213 What is 3/8 of a kilogram in grams? 375 What is 7/2 of a microsecond in nanoseconds? 3500 How many micrometers are there in fourty-two fifths of a centimeter? 84000 How many centuries are there in 2.7928308 months? 0.002327359 How many minutes are there in 67404.76 hours? 4044285.6 What is six fifths of a litre in millilitres? 1200 What is nineteen quarters of a microgram in nanograms? 4750 What is 49.26153 days in seconds? 4256196.192 What is seven quarters of a tonne in kilograms? 1750 How many micrometers are there in seven quarters of a millimeter? 1750 Convert 68.27157 nanoseconds to seconds. 0.00000006827157 How many years are there in 3/25 of a century? 12 How many millilitres are there in twenty-five halves of a litre? 12500 What is 6.470561nm in kilometers? 0.000000000006470561 Convert 9181.706 days to hours. 220360.944 How many months are there in eight fifteenths of a century? 640 How many kilograms are there in 21/2 of a tonne? 10500 What is one sixteenth of a milligram in nanograms? 62500 What is 12425.36kg in tonnes? 12.42536 What is fifteen quarters of a litre in millilitres? 3750 What is 4375814.31 minutes in weeks? 434.1085625 What is 512.4589cm in micrometers? 5124589 What is 0.5526299um in kilometers? 0.0000000005526299 What is 7.142396 hours in microseconds? 25712625600 What is seventeen quarters of a meter in centimeters? 425 What is one twentieth of a litre in millilitres? 50 How many minutes are there in 7014.612 days? 10101041.28 Convert 7733.636l to millilitres. 7733636 What is eleven halves of a microgram in nanograms? 5500 What is 6851.026 decades in millennia? 68.51026 Convert 9.799595 hours to microseconds. 35278542000 What is fifteen quarters of a microgram in nanograms? 3750 What is 0.4637905 milligrams in tonnes? 0.0000000004637905 Convert 33.81913 grams to kilograms. 0.03381913 How many decades are there in 3/10 of a millennium? 30 How many nanograms are there in seventeen halves of a microgram? 8500 What is 27/2 of a day in hours? 324 What is 3/5 of a millennium in centuries? 6 What is 27/5 of a litre in millilitres? 5400 How many millilitres are there in 5/8 of a litre? 625 What is 3/32 of a gram in micrograms? 93750 What is 8534.023ug in nanograms? 8534023 How many kilograms are there in 0.1660473 nanograms? 0.0000000000001660473 What is 3/16 of a hour in seconds? 675 Convert 558983.2m to kilometers. 558.9832 Convert 8.848215 millilitres to litres. 0.008848215 How many kilograms are there in nine tenths of a tonne? 900 How many millimeters are there in one sixteenth of a kilometer? 62500 How many nanometers are there in one quarter of a micrometer? 250 How many kilograms are there in 3/25 of a tonne? 120 Convert 2.420101 grams to milligrams. 2420.101 What is 18/5 of a meter in centimeters? 360 How many millilitres are there in 47.8143l? 47814.3 How many micrometers are there in fifty-nine fifths of a millimeter? 11800 What is 1/64 of a milligram in nanograms? 15625 What is 48008.88 kilometers in meters? 48008880 How many millilitres are there in 9/10 of a litre? 900 What is 7.033513 milliseconds in nanoseconds? 7033513 Convert 95.57649 litres to millilitres. 95576.49 How many millilitres are there in thirty-one halves of a litre? 15500 How many months are there in fourty-five quarters of a year? 135 How many minutes are there in 27/4 of a day? 9720 What is 32/5 of a gram in milligrams? 6400 Convert 0.113204 millilitres to litres. 0.000113204 What is 2223.685ml in litres? 2.223685 How many meters are there in 75/8 of a kilometer? 9375 Convert 633.4359ml to litres. 0.6334359 What is 27/2 of a century in decades? 135 What is 63617.59ml in litres? 63.61759 How many nanometers are there in 1/4 of a micrometer? 250 How many months are there in 31/2 of a year? 186 How many millilitres are there in 37.51133l? 37511.33 What is 97844.06 micrometers in nanometers? 97844060 What is 39.26869ml in litres? 0.03926869 How many millilitres are there in 11/2 of a litre? 5500 What is twenty-one fifths of a microgram in nanograms? 4200 How many milligrams are there in thirty-one fifths of a gram? 6200 Convert 48.3384l to millilitres. 48338.4 What is 1/4 of a litre in millilitres? 250 How many days are there in four sevenths of a week? 4 Convert 9.59357 weeks to minutes. 96703.1856 How many months are there in seven eighths of a decade? 105 Convert 7032.51m to micrometers. 7032510000 How many minutes are there in 418.7354 weeks? 4220852.832 Convert 0.2871171 millimeters to centimeters. 0.02871171 Convert 43682.71 nanoseconds to microseconds. 43.68271 How many minutes are there in 28/3 of a day? 13440 What is 17.28442 millilitres in litres? 0.01728442 How many litres are there in 0.055205 millilitres? 0.000055205 What is 979977.8kg in nanograms? 979977800000000000 How many millimeters are there in 0.0670328m? 67.0328 How many milligrams are there in 52/5 of a gram? 10400 How many millennia are there in 16.83163 years? 0.01683163 How many days are there in 918044.9 weeks? 6426314.3 What is 0.6513271 years in millennia? 0.0006513271 How many nanoseconds are there in 3/50 of a millisecond? 60000 What is 3.141379 microseconds in milliseconds? 0.003141379 What is 2256.83m in kilometers? 2.25683 Convert 0.1457016 litres to millilitres. 145.7016 What is one twentieth of a meter in millimeters? 50 What is 1/4 of a litre in millilitres? 250
{ "pile_set_name": "DM Mathematics" }
et l(c) = -c**3 + 12*c**2 - 31*c + 2. Let g be l(4). Let a be g*(7/(-28) - 13/(-4)). Solve b = 2*k - 3, 5*k - a = 3*k + 4*b for k. -1 Let j be 3/(-27)*-6 - 79/(-3). Suppose -37*l + 50 = -12*l. Solve 0 = 5*t + f + j, -4*f = l*t - 2*f + 14 for t. -5 Suppose -36*p + 420 = -50*p. Let v be (-78)/p + (-3)/(-10)*-2. Solve 0 = -2*c - u - u + 4, -v*u - 16 = -2*c for c. 5 Let x = 122488 + -122484. Let g(t) be the second derivative of t**4/12 + t**3/3 - 5*t**2/2 + t. Let v be g(-4). Solve -v*q + 2 = x*z + 17, 3*q = z for q. -1 Let l = -2467 + 2474. Solve 3*q - 6 = -g - 1, -3*q - l = 4*g for g. -4 Let c = -3 - -6. Let k = 11491 - 11486. Solve -v + 12 = c*p, -4*v + k = p - 10 for v. 3 Let z(l) = 2*l**2 - 2*l - 11. Let d be z(5). Suppose -d*v + 47 + 11 = 0. Solve 4*x - v*y + y = -12, 5*y = 2*x - 12 for x. -4 Suppose -2*o = 4*j + 81 - 91, 5*o = -4*j + 25. Solve -n = o*v + 23, -13*v + 8*v + 2*n - 14 = 0 for v. -4 Suppose 5*c = 5*j + 25, 4*c - 4*j = c + 18. Suppose -2*p - h + 4 = 3*h, -3*p = -c*h - 14. Solve -1 = p*r - 3*q, q + 3 = 2*r + r for r. 2 Let r = -5746 + 5749. Solve 3*x + x - r*l + 13 = 0, -5*l + 13 = 2*x for x. -1 Suppose -b + 4*i = 2*i, -2*b - 2 = -3*i. Let j be (-30)/(((-16)/(-4))/(2 + b)). Solve -j = -3*c, 3*l + 6*c = c + 10 for l. -5 Let z(p) = 7*p + 43. Let y be z(-7). Let b be 26/10 - y/(-10). Suppose -b*q - 1 = -7. Solve u = -a - 4, 4*a + 16 = 5*u - q*u for u. 0 Suppose 0 = x + 29 - 32. Suppose 2*u = -x*z - 2, 3*u = z + 8*u + 5. Solve z*d + 2*q = -2*d + 2, 3*d = 2*q + 23 for d. 5 Let l(j) = 14*j + 90. Let v(g) = -15*g - 90. Let z(m) = -5*l(m) - 4*v(m). Let a be z(-9). Solve -3*s - 2*f + 7 = a, -4*f + 12 = s + 3*s for s. 1 Suppose 5*l + 5*r - 40 = 0, -7*l + 2*r + 12 = -2*l. Suppose l*g - 37 = i - 22, 0 = 2*g + 4*i - 30. Solve p = 3*p + g*c + 35, 4*p = -4*c - 40 for p. -5 Suppose -3*w = -4*q + 11, 2*q - 22 = -381*w + 377*w. Solve -c - w*z - 13 = -5, 0 = -3*c - 5*z - 16 for c. -2 Let l(n) be the third derivative of n**4/8 + 10*n**3/3 - 15*n**2. Let c be l(-5). Let x be 10/c*4/4. Solve -5*j = q - 5 - 5, q + x*j = 4 for q. 0 Let a be 4/16*0 - -18. Let m = -315 - -339. Suppose 16 + m = 8*c. Solve 3*n = -2*u - 0*n - 14, 2*u - a = c*n for u. -1 Let q = -67 + 66. Let x be -2 + (-4 - -3) + q. Let m(n) = 5*n + 23. Let c be m(x). Solve 5*l - 3*f + 28 = 0, 0 = 3*l - c*f - 2*f + 20 for l. -5 Let f(l) = -3*l - 12. Let p be 5 - 5 - 32/4. Let k be f(p). Let b be k/((-3)/(-1)) + 4. Solve -4*w + 2*d = 2, 0 = -3*d + b + 7 for w. 2 Suppose -63 - 126 = -423*z + 402*z. Solve -5*f = -c - z, -3*c + 4*f - 7 = -2 for c. 1 Let l(t) = 16*t + 328. Let z be l(-20). Solve 2*n + 1 = j, -4*j + n = -j - z for j. 3 Let w be 1*((-2380)/(-245))/((-2)/(-14)). Solve 2*c - 5 = -t, -72*c + w*c + 13 = t for t. -3 Let j = -485 - -507. Solve -5*y + 2*x = -y - j, -x = -5*y + 23 for y. 4 Let o be (3133/(-143) - -21)*-11. Solve -17*i - 18 = -5*y - 15*i, 2*y = -2*i + o for y. 4 Let l be 7 - 3*(6 + 39/(-9)). Solve -3*v - l*p - 10 = 1, 5*v = -p - 23 for v. -5 Suppose -3*z = -9*z + 60. Let w(x) = x**2 - 9*x + 5. Let f be w(z). Suppose 3*q - 25 = -5*c, -14*q + f*q = -5. Solve 2*h + 5 = -b, -c*b + 3*b + h = 3 for b. -1 Suppose 11 = -3*y - 138*n + 134*n, -4*n = 2*y + 14. Solve 10 = -4*r - 2*o, o + 6 = -y*r - 1 for r. -2 Suppose 3*h - 5*h = -4. Suppose -4 = h*f - 3*f. Suppose -x = -4*o + 14, x - 10 = f*x - 4*o. Solve -x*l - 8 = -2*z + 2, 0 = l + 2*z - 10 for l. 0 Let t = -14243 - -14247. Solve -9 = m + 3*x + 23, -m - t*x = 41 for m. -5 Let i = -2356 + 2386. Solve 3*p - 57*o = -52*o + i, 4*p - 11 = -3*o for p. 5 Let i = 2103 - 2095. Solve 18 = 5*p - b, p - i = 3*b + 4 for p. 3 Suppose 4*k - 18 = x, -4*k - 68 = 5*x - 74. Solve 8 = -k*i, -3*i - 16 = -13*p + 8*p for p. 2 Suppose 0 = -8*v - 6119 + 6151. Solve 0 = 12*t - 17*t - 5*h + 15, 4 = 4*t - v*h for t. 2 Suppose -16*i = -2*p - 32, 20*p - 15*p - 64 = 4*i. Solve 3*j + p = y, -3*y - 15*j = -10*j + 8 for y. 4 Let v be ((-27)/(-12))/((-9)/(-12)). Let g be ((7 - 7)/3)/v. Solve -13 = 3*b + 2*u - g*u, -2*b - 8 = u for b. -3 Suppose -4*m = -397 + 81. Suppose 0*a + 4*a + 5*q = m, -5*q - 49 = -4*a. Let c = -11 + a. Solve -5*v = -2*d - 20, 3*d - 20 = -c*v - 0 for d. 0 Suppose -2*n = -7*n. Let w be 40/(-12)*(-126)/(-15). Let y = w - -31. Solve -2*d + p + 2*p + 1 = n, y*d - 27 = -4*p for d. 5 Suppose i + 2403 = -8*i. Let m = i - -271. Solve w + 3*a = 10, -2*w + 3*a - m = 3*w for w. 1 Let j(x) = -x**2 + 4*x + 38. Let p be j(7). Let v be (p/85)/((3/(-10))/(-3)). Solve -5 = -d + m, v*d + m = 4*m + 11 for d. 4 Suppose -j = -4*s - 4*j - 171, 174 = -4*s - 2*j. Let t(f) = 790*f - 3110. Let m be t(4). Let o = m + s. Solve 5*w = o*u + 15, 5 = -u + 5*w - 2 for u. -2 Let t(g) = 13*g**2 + 20*g - 18. Let j be t(1). Solve -2*q + 4*y + 24 = 0, -2*q + 5*y = -7*q - j for q. 2 Suppose 0 = 5*s - 4*v - 173, v - 114 = -8*s + 5*s. Let r(p) = -23*p - 19*p + s*p + 5. Let y be r(1). Solve 2*b - 4*o - 6 = y, -5*o = -b - 0*o + 15 for b. -5 Let y(m) = -7*m - 2*m - 8*m**2 - 32 - 10*m - m**3 - 7. Let c be y(-6). Solve c*k = -3*s - 2*s - 21, s = k - 1 for k. -2 Let v be (-8 + 8 + 1)*(6 - (-4 + 8)). Solve -6 = p + 3*u, 0*p + v*u - 6 = -4*p for p. 3 Let k(n) = 5*n**2 + 88*n - 13. Let j be k(-18). Solve 4*u - j*r + 24*r = -5, -1 = r for u. -1 Let f be ((-27)/18)/((-6)/136). Suppose 291 = -14*s - 143. Let j = s + f. Solve 3 = -j*d - 5*v - 0*v, -d - 5*v = 1 for d. -1 Let w be 110/1265 + 6/(-69). Solve -30*t + 32*t + n + 9 = w, 2*n + 4 = 3*t for t. -2 Suppose 18 - 34 = -2*b. Suppose -133 + 173 = b*h. Solve -2*g - h*m = 15 + 11, 2*g + 2*m = -14 for g. -3 Let y(f) = 2*f**3 - 11*f**2 + 21*f. Let p be y(2). Solve 4*h - d = 2*d + 1, 0 = 4*h + 2*d + p for h. -2 Let q be (1005/(-105) + 10)*70. Solve 0 = 4*y - 3*i + 5 + 14, -5*y - q = -5*i for y. -1 Let o be 1 + (-15)/(-2 + -1). Let n be (0/5)/(-1*(o - 5)). Solve 2*m - x - 6 + 0 = n, -2*m + 14 = 3*x for m. 4 Suppose 3*u - 52 = -5*g, 8*u - u - 58 = g. Solve 4*o - g*a + 8 = -6*a, -5*o + 7 = -3*a for o. -1 Suppose 0 = -12*q + 39 - 15. Suppose q*y = -10, i = 5*y + 20 + 5. Solve -5*d - 5*h + 50 = 0, 2*d - 4*h + 0 + 10 = i for d. 5 Suppose 21 = 3*r - h, 5*h = -335*r + 329*r. Suppose -f + 2 = 4. Let y be -3*f/(-3)*-1. Solve 0 = -2*a - 3*o + 9, 14 = -y*a + r*o - 17 for a. -3 Suppose -i = 4*v + 11, 4*i + 9*v - 19 = 14*v. Solve 5*q + i = -16*p + 19*p, 3*p + 2*q = 8 for p. 2 Let y(t) = -15*t**2 - 2*t + 3. Let g be y(1). Let r = g + 26. Suppose -r*f + 8 = -8*f. Solve -f*x + 7 = -v, -2*v + 0*x + 18 = 4*x for v. 1 Let b(i) = i**2 - 2*i + 2. Let m be b(2). Let u(k) = 446*k - 37435. Let v be u(84). Solve m*x - 4*w + v = -9*w, 0 = x + 5*w + 27 for x. -2 Let u(z) = 75*z + 36*z**2 - z**3 - 74*z - 21 - 13 + 5. Let k be u(36). Solve 2*d - k*q = -4*q - 5, d + 7 = -3*q for d. -4 Suppose -b + 15 = -24. Let t be -4*1/8*58. Let u = b + t. Solve 0 = -4*h - 4*c - 8, -2*h = -4*h - 4*c - u for h. 1 Let i = 1501 + -1496. Solve -20 = -6*b + 2*g, -i*b + 2*g + 3 = -13 for b. 4 Let o = 445 + -252. Let f = -189 + o. Solve f = 4*q - 4*i, -5*q + 4*i + 3 + 4 = 0 for q. 3 Suppose -2*a - 77 = -11. Let h be a/(-6)*(-24)/(-66). Solve 3*v - v = -2*x + 12, -4*v + h*x = 0 for v. 2 Suppose 0 = 3*p - 3 - 12. Suppose 5*a - 5 + 0 = 0. Suppose 112*u = 109*u + 4*b + 14, 2*u - b - 11 = 0. Solve -4*z - a = 2*n - 5, u = 3*n - p*z for n. 2 Let s(j) = j + 3. Let r be s(3). Suppose 3*w - a = 15, 2*w + a = r*w - 21. Suppose -57 = -9*d + w. Solve -2*c - 3*m - 31 = 2*c, 2*c - 3*m = d for c. -4 Let t(r) = r**3 - 7*r**2 - 7*r - 20. Let o be t(7). Let q be (o/207)/(0 + 1/(-9)). Solve -2*i = q + 7, 3*i = -z - 17 for z. -2 Let l be 1863/414*-3*(-4)/18. Solve 5*u + 9 = -3*h, 18 = l*h - 4*u - 0 for h. 2 Let p(t) = 66*t - 192. Let v be p(4). Suppose -v = z - 76. Solve 4*c - 27 = 3*f + z, -4*c + 6 = 2*f for c. 4 Suppose -83 = 140*q - 923. Solve -4*k - 5*t = -12, 2*k - 33*t - q = -28*t for k. 3 Let l be 4 + 12/(-3) + 3. Suppose -57 + 8 = 7*x. Let k(v) = -2*v**2 - 14*v + 1. Let t be k(x). Solve 4*g - t - 14 = -l*u, -3*u + 9 = 2*g for g. 3 Let v(q) = -62 - 54 + 64 - 31 - 43*q. Let k be v(-2). Solve -4*a - 2*s - 1 - k = 0, -s - 8 = 5*a for a. -2 Let h be 6/8*-2*16/(-6). Suppose -12 + 0 = -3*d. Solve m - 4 = d*k + 9, -h*m = -3*k for k. -4 Suppose -6*p + 48 = -726. Let x = p - 123. Suppose -2*k + 21 = -3*s, 2*s - 4 = x. Solv
{ "pile_set_name": "DM Mathematics" }
qrt(4050) - -1*sqrt(4050) - sqrt(4050))) + (sqrt(100)*-1)/sqrt(2))/(sqrt(40)*-3 - (sqrt(10) - (2*sqrt(10)*2 - sqrt(10))))*-2. -sqrt(5)/2 Simplify ((sqrt(102)*-1*2 - (4*(sqrt(102) - -2*sqrt(102)) - sqrt(102)))/(sqrt(576)/sqrt(6) + 2*sqrt(150)))**2. 2873/196 Simplify -5 + (2 + sqrt(700) + sqrt(700) + -3)**2 + 3 + -6*(sqrt(700) + sqrt(700) + -3)**2. -14055 + 680*sqrt(7) Simplify (1 + sqrt(891)*1 - -6*(sqrt(891) + -1 + sqrt(891)))**2. -1170*sqrt(11) + 150604 Simplify 6*(-5 + -3 + sqrt(108)*-1 + sqrt(108) - -2*(sqrt(108) - sqrt(108)*-1*4))**2. -5760*sqrt(3) + 65184 Simplify (-5*((sqrt(84) - 6*sqrt(84)*2) + sqrt(84))/sqrt(3))**2. 70000 Simplify (5 + (sqrt(187)/(sqrt(11)*2) - sqrt(17)) + sqrt(17) + -5*(-1 + sqrt(17)))**2 - (-2 + sqrt(612) + -1 + sqrt(612) + 2*(-1 + sqrt(612)))**2. -37491/4 + 150*sqrt(17) Simplify (4*sqrt(64))/(4*((sqrt(18) - sqrt(2)) + sqrt(2))). 4*sqrt(2)/3 Simplify (1 + sqrt(13) + (sqrt(1872) + 2)**2 - (sqrt(104)/(sqrt(8)*-1))**2*5)*-2. -3624 - 98*sqrt(13) Simplify 4 + (-6*(sqrt(85)/sqrt(5))**2 - sqrt(612)*-3). -98 + 18*sqrt(17) Simplify ((((sqrt(340) - (sqrt(340) - sqrt(340)*-1))/sqrt(10))/(-1*sqrt(162)))**2 + 2)*2 + -3. 115/81 Simplify sqrt(110)/(sqrt(10)*-1*4) + 5 + (sqrt(11) - (sqrt(11) - (1 + sqrt(275))**2)). 39*sqrt(11)/4 + 281 Simplify -2*(sqrt(1872) + 0 + -5)*-6 + -3. -63 + 144*sqrt(13) Simplify (-3 + (-4*sqrt(108)*-2 - sqrt(108))*6)**2. -1512*sqrt(3) + 190521 Simplify sqrt(8)*6 + sqrt(22)/(sqrt(11)*2) + sqrt(162) + (sqrt(162) - sqrt(162)*2) + (sqrt(24)/(sqrt(48)/sqrt(4)))**2. 2 + 25*sqrt(2)/2 Simplify ((1 + sqrt(2299) + 3)**2 + -2 + -5 + sqrt(2299)*2*-4)*3. 6924 Simplify (5*(sqrt(77) + 1*sqrt(77)) + sqrt(77) - (2*sqrt(77)*2 + sqrt(77)))/(-5*(sqrt(112) + (sqrt(112) - 1*sqrt(112)))). -3*sqrt(11)/10 Simplify ((-1*sqrt(325) + 2 - (sqrt(325) + ((-1 + sqrt(325))*-1 - sqrt(325)))) + 5*(4*(sqrt(325) + 1) - sqrt(325)))**2. 3150*sqrt(13) + 73566 Simplify ((sqrt(360)/(4*sqrt(81)))/((sqrt(288) - 1*sqrt(288)) + 3*sqrt(128)))**2. 5/20736 Simplify 5*(-1*(sqrt(40)/sqrt(250))/sqrt(2))**2. 2/5 Simplify (4*(1*sqrt(95) + sqrt(95)) - (sqrt(95) - -3*(sqrt(95) - (sqrt(95) - -1*sqrt(95)))))/(-5*sqrt(720)*2). -sqrt(19)/12 Simplify -1*(0 + (-4*(3*sqrt(99) - sqrt(99)) - sqrt(99))/(4*2*sqrt(9))). 9*sqrt(11)/8 Simplify ((2 + sqrt(1872) + 1)*2)**2*4. 1152*sqrt(13) + 30096 Simplify ((5*(sqrt(5200)*1)/sqrt(4))**2 + 2)*-3. -97506 Simplify (4 + (-2*sqrt(720) + 0 + 1*sqrt(720)*-3 + sqrt(720))*5)**2. -1920*sqrt(5) + 288016 Simplify (sqrt(114)*1*-3 + sqrt(114) - (sqrt(114) - -2*sqrt(114)*-1 - sqrt(114)))/(sqrt(24)/(sqrt(32)/(sqrt(8)*1))). 0 Simplify (-4 + -1*sqrt(7) + -3 + (sqrt(343) + -2 - sqrt(7)) + 5)**2. -40*sqrt(7) + 191 Simplify (sqrt(160) - (sqrt(160) - -1*sqrt(160) - sqrt(160))*3)/((sqrt(4) - sqrt(64)*-1)/sqrt(2)). -8*sqrt(5)/5 Simplify (-5*4*2*3*(sqrt(405) - (-3*sqrt(405) + sqrt(405))))**2. 52488000 Simplify (1 + -4*(2*sqrt(2057) + sqrt(17) + -3 + -2))**2. -3864*sqrt(17) + 144329 Simplify (sqrt(110) - sqrt(110)*-2*-5 - sqrt(110))/((sqrt(100)*4)/sqrt(10)). -5*sqrt(11)/2 Simplify ((-1*(sqrt(132)*2 - sqrt(132)) - -6*-1*sqrt(132))/(2*-2*sqrt(12) + (sqrt(24) + sqrt(96)/sqrt(4))/sqrt(2) + sqrt(12)))**2. 539 Simplify ((sqrt(3267)*1*1)/((sqrt(36) + sqrt(324))*-2))**2. 363/256 Simplify ((3*sqrt(567))/sqrt(9) - (sqrt(112) + -3*sqrt(112)*2))**2. 5887 Simplify (sqrt(119) + -5*sqrt(119)*-4 + sqrt(119))/((sqrt(28)*3)/sqrt(4)) + -5. -5 + 22*sqrt(17)/3 Simplify ((sqrt(170) - sqrt(170)*-4)*3*4)/((-4*sqrt(1080))/sqrt(3)). -5*sqrt(17)/2 Simplify (1*sqrt(2736) + -4 + sqrt(2736)*2 + -2 + -4 + (sqrt(2736) + sqrt(2736)*2)*3)**2. -2880*sqrt(19) + 394084 Simplify (-3 + (sqrt(3087) + -2 - sqrt(3087))*4)*-3 + -3. 30 Simplify (-4 + ((sqrt(70) + 1*sqrt(70))*-4)/(3*sqrt(40)))**2. 32*sqrt(7)/3 + 256/9 Simplify 2 + (sqrt(112)*2)**2 - (2*sqrt(7) + -1)*6. -12*sqrt(7) + 456 Simplify -2 + (sqrt(147) - ((-5*2*sqrt(147))**2 + sqrt(147)) - -6*(-1 + sqrt(147) - sqrt(147))) + 1. -14707 Simplify ((sqrt(825) - (1*sqrt(825) + sqrt(825)))*6)/(-1*-2*sqrt(243)). -5*sqrt(11)/3 Simplify (-2 + sqrt(325))*-1 + (sqrt(156)/sqrt(4) + sqrt(39) - sqrt(39))/sqrt(3)*4. -sqrt(13) + 2 Simplify -1 + 1 + (-2 + sqrt(34)/sqrt(2) - (sqrt(187)/sqrt(176))**2). -49/16 + sqrt(17) Simplify 6*(1 + (2*(-3 + sqrt(1331)*-3 - sqrt(1331)))**2 + 2). 6336*sqrt(11) + 511338 Simplify (sqrt(17) - (1 + sqrt(833) + sqrt(17))**2)*-2*2 + 5. 60*sqrt(17) + 4361 Simplify -5 + ((2*sqrt(35)*6*-5)/(sqrt(21)/(sqrt(3) + (sqrt(3) - sqrt(3)*-2))*3))**2. 31995 Simplify -6*(sqrt(425) + sqrt(425)*-4 + -3 - (-3 + sqrt(425))*3). -36 + 180*sqrt(17) Simplify ((sqrt(224)*1 - sqrt(224) - sqrt(224))*-3 + sqrt(224))/((sqrt(288) - -4*(sqrt(288) - (sqrt(288) + (4*sqrt(288) - sqrt(288))))) + sqrt(288)). -2*sqrt(7)/15 Simplify (sqrt(136) - 1*(sqrt(136) + -2*sqrt(136) + sqrt(136)))/sqrt(8) - (sqrt(272) + -1 - sqrt(51)/(sqrt(9)/sqrt(3))). -2*sqrt(17) + 1 Simplify 3 + ((sqrt(156) + sqrt(156)*-2)*2)/(sqrt(12) - sqrt(48)*-5). -2*sqrt(13)/11 + 3 Simplify (-6*(sqrt(15) + sqrt(90)/(sqrt(24)/sqrt(4))))/((sqrt(363) + (sqrt(363)*-1 - sqrt(363)) + sqrt(363) + sqrt(363))*-2). 6*sqrt(5)/11 Simplify ((sqrt(95) + (sqrt(95) - (sqrt(95) + (sqrt(95)*4*-2 - sqrt(95)))))/(sqrt(2160)/sqrt(12) + sqrt(5) - sqrt(5)))**2. 475/9 Simplify (1*(sqrt(275) - (2 + sqrt(275)) - sqrt(275)) + 0)**2 - (-4*(sqrt(1100) - (sqrt(1100)*-1 - sqrt(1100))) - (5*sqrt(1100)*2)**2). 140*sqrt(11) + 110279 Simplify (-6*((1*sqrt(900))/sqrt(12) + sqrt(3) + 3 + sqrt(3) + sqrt(27) + -3))**2. 10800 Simplify (2*(5*(sqrt(70) - sqrt(70)*2 - sqrt(70)) + sqrt(70) - -1*sqrt(70)*2)/(sqrt(160)*2 + sqrt(70)/(sqrt(7)*-2)))**2. 5488/225 Simplify (0 + sqrt(80) + 2)*2*6. 24 + 48*sqrt(5) Simplify (1 + (sqrt(1176) - (-1*sqrt(1176) + sqrt(1176)))/(-2*sqrt(108)))**2. -7*sqrt(2)/3 + 67/18 Simplify (6*-2*(sqrt(343) - -6*sqrt(343)*-2))**2*4. 23905728 Simplify -1 + ((sqrt(50)*1 - sqrt(50))*3)/(sqrt(20)/(sqrt(18)/sqrt(9))). -1 Simplify (1*(sqrt(19)*1 + sqrt(19)) + sqrt(19) - ((sqrt(133)*-5 - sqrt(133))/sqrt(7))**2)*3. -2052 + 9*sqrt(19) Simplify 5 + ((-2*sqrt(4840))/((sqrt(110)/sqrt(5))/sqrt(11)))**2. 9685 Simplify (5 + (sqrt(2299)*-1 - sqrt(2299)))**2 + (sqrt(2299)*1)**2*5 - 2*((sqrt(2299) - (sqrt(2299)*1)**2 - sqrt(2299)) + -1). -220*sqrt(19) + 25316 Simplify (1*sqrt(360) - 2*sqrt(40))/(sqrt(32) + (sqrt(32) - sqrt(256)/(sqrt(8) - sqrt(72)) - sqrt(32)) - sqrt(32)). sqrt(5) Simplify (-1*sqrt(110)*1*4)/((sqrt(110) + (sqrt(110) - 1*(sqrt(110)*-1 + sqrt(110))) + sqrt(110) - sqrt(110))/sqrt(11)). -2*sqrt(11) Simplify (6*(sqrt(432) + 1))**2 - -6*(sqrt(3) - (sqrt(12) + 2)). 858*sqrt(3) + 15576 Simplify (5*(sqrt(363) + -1 + sqrt(363)))**2 + (sqrt(12) + sqrt(48)*6)/sqrt(4). -1087*sqrt(3) + 36325 Simplify (sqrt(81)/sqrt(81) + (sqrt(108) - (sqrt(108) + -2*sqrt(108) + sqrt(108) + sqrt(108)))/sqrt(12))/(sqrt(15)/(sqrt(10)/sqrt(2)*-5 + sqrt(5))). -4*sqrt(3)/3 Simplify (((sqrt(1216) + sqrt(1216) + (sqrt(1216) - (-1*sqrt(1216) + 1 - sqrt(1216))) - sqrt(1216)) + sqrt(1216))**2 + 3*(sqrt(1216) + -2 + sqrt(1216)))*5. -160*sqrt(19) + 151975 Simplify ((sqrt(84) - (sqrt(84) - 1*sqrt(84)*2 - sqrt(84)))/(sqrt(192)*6))**2. 7/64 Simplify 3*((sqrt(425) + -1)*-2 - (sqrt(425)*2 + -4)**2). -5142 + 210*sqrt(17) Simplify sqrt(18) + sqrt(72)/sqrt(4) + 1 + -2*(-1 + sqrt(2) + -1). 5 + 4*sqrt(2) Simplify -3 + ((sqrt(363)*2 - sqrt(363)) + 2)**2 + ((sqrt(168)*-2)/sqrt(7))/sqrt(8). 42*sqrt(3) + 364 Simplify -1*(-6*sqrt(48)*2 - -1*sqrt(48)*5)**2. -2352 Simplify (-5 + sqrt(272) + sqrt(102)/sqrt(150) + -3*(-2 + sqrt(1700)))**2. -258*sqrt(17)/5 + 282922/25 Simplify (sqrt(132) - 4*(sqrt(132) - -3*sqrt(132)))/(3*sqrt(48)). -5*sqrt(11)/2 Simplify ((-2*-1*sqrt(190))/sqrt(5))/(sqrt(72)/sqrt(9) + sqrt(32) + sqrt(32)*-1 + sqrt(32)). sqrt(19)/3 Simplify sqrt(425)*-2 + 2*(sqrt(68)/sqrt(4))**2 + -5*(sqrt(204) - (sqrt(204) - sqrt(204)*-1) - sqrt(204))/sqrt(12). 34 Simplify (2*2*sqrt(68)*-6)/(sqrt(48)/(sqrt(12) + sqrt(108)*5)). -384*sqrt(17) Simplify (sqrt(68)*-3 + 2 + 2 + 1 + (2*sqrt(68) + sqrt(68))*-3)**2. -240*sqrt(17) + 9817 Simplify (((-5*(1 + sqrt(847)) - sqrt(847)) + (sqrt(847) - (0 + (1 + sqrt(847) - sqrt(847)) + sqrt(847) - sqrt(847)) - sqrt(847)) + sqrt(847))*-5)**2*-1. -530275 - 16500*sqrt(7) Simplify 6*(sqrt(2) - (sqrt(14)/sqrt(7) + -2))**2 + ((-2*sqrt(16))/sqrt(8) - (s
{ "pile_set_name": "DM Mathematics" }
96)) 5/6 What is ((10752/(-120))/56)/(4/15)? -6 Calculate ((-200)/350)/(66/(-21)). 2/11 What is (154/(-55))/((12/16)/(75/40))? -7 Evaluate 2*3/15*(-1725)/138. -5 Evaluate (-5*1/4)/(-4*68/2176). 10 (2/1)/(((-273)/105)/((-4)/(-20))) -2/13 (14/(-10))/((-3087)/3969) 9/5 Calculate (-14)/8*-10*22/55. 7 (75/1650)/((-1)/(12/(-3))) 2/11 Evaluate (-3)/((450/(-6075))/((-2)/3)). -27 Evaluate ((-2)/(-15))/(((-1233)/548)/((-15)/(-4))). -2/9 What is the value of (-1)/(-6)*-1*54/9? -1 Evaluate (-576)/108*(-6)/2. 16 What is 296/185*(-15)/6? -4 What is the value of (-2)/(-15)*(100/280)/(10/(-175))? -5/6 42/7*(-16)/56 -12/7 What is (7/14)/((((-18)/4)/(-9))/1)? 1 Calculate 35/(-175)*(-25)/20. 1/4 Evaluate 2/((-24)/(-6))*4/(-184)*4. -1/23 What is 1*-2*6/126*6/(-2)? 2/7 Evaluate (-4)/(72/(-6))*24. 8 Calculate 0/(-5)*4*20/160. 0 Evaluate ((-12)/50)/(684/(-285)). 1/10 Evaluate (-4*(-261)/812)/((-2)/(-14)). 9 What is the value of (48/390)/((-48)/(-60))? 2/13 Evaluate 45/((-33)/(-11))*10/135. 10/9 What is the value of (4/((-8)/(-18)))/(42/(-56))? -12 What is 70/60*6*102/(-1309)? -6/11 Calculate ((-114)/(-171))/((-16)/(-36)*-4). -3/8 What is 48/570*(-30)/(-24)? 2/19 What is the value of 19/((-627)/(-88))*12/592? 2/37 Calculate (-3)/(-2)*-2*35/(1995/(-152)). 8 What is ((-4)/14)/((-208)/(-546))*16/(-30)? 2/5 What is the value of 59/((-13275)/10)*10/(-8)? 1/18 (90/72*-4)/((-4)/16) 20 -7*(-5)/(-15)*1932/161 -28 Evaluate 198/(-1980)*((-55)/6)/11. 1/12 ((-5)/(75/(-10)))/((-328)/9348) -19 Evaluate 5*1/13*219/365. 3/13 What is (-3*119/51)/(15/6)? -14/5 Calculate ((-21)/132*(-30)/(-105))/(1/6). -3/11 2/(((-1530)/(-18))/5) 2/17 What is the value of (0*(-25)/200*(-2)/4)/4? 0 What is ((-2)/(-6))/((-56)/(-2184))? 13 Evaluate 891/396*8/2. 9 What is (32/64)/((-1)/14)? -7 Evaluate ((-6)/(-12)*0)/9. 0 What is (52/(-60))/((-15)/45)? 13/5 (((-2)/2)/1)/(29/(-261)*39) 3/13 Evaluate ((-3304)/(-1416))/(7/96). 32 What is the value of 2/4*49/98*(-88)/(-6)? 11/3 Calculate ((-4)/(-42)*-3)/((520/28)/13). -1/5 Evaluate ((1/(-5))/(-1))/(5600/(-1000)). -1/28 2/(-2)*5*(-1440)/(-300) -24 ((-1120)/(-784)*(-7)/(-16))/(5/2) 1/4 Calculate (60/30)/((-20)/70). -7 (-273)/(-26)*(-22)/(-33)*(-6)/(-91) 6/13 What is the value of (-2223)/3952*64/(-6)? 6 Calculate ((-980)/735)/(33/(-12)*4/3). 4/11 What is the value of ((-8)/10)/((-1736)/(-1085))? -1/2 Calculate (-6300)/1890*27/165. -6/11 What is (40/(-14))/((160/35)/(-16))? 10 What is the value of ((-1)/4)/((5022/(-288))/31)? 4/9 24*6*((-3400)/(-160))/85 36 2/(32/144*30) 3/10 Calculate ((-12)/(-6))/(((-12)/(-8))/(27/(-36))). -1 (118/(-885))/((-3)/90) 4 Evaluate (3/4)/((-189)/588*(-35)/(-6)). -2/5 Calculate ((-13)/(-8))/(23/(-184)). -13 ((-324)/540)/(6/(-10)) 1 Calculate 1/9*(-54)/(-12)*(-12)/57. -2/19 What is 0*4*(62/620)/((-4)/10)? 0 What is the value of -2*1*3*30/(-75)*-5? -12 Calculate ((-1)/(-4)*-2)/(1/((-136)/(-153))). -4/9 ((-115)/(303485/182))/(-1*1*1) 2/29 ((-2)/(-12)*8/1)/(68/(-714)) -14 What is (20/(-25))/((-29)/(725/(-310)))? -2/31 (-4620)/25410*(-22)/(-40) -1/10 What is the value of 5/(50/6*93/930)? 6 Evaluate (10/(-150))/(((-4)/10)/1). 1/6 Calculate ((-78)/96)/13*10*1/1. -5/8 Calculate -3*33/(1485/(-30)). 2 What is (-28)/((-13)/((-130)/20))? -14 Evaluate (10380/346)/(3/1*1). 10 What is 9/(-8)*(-876)/657? 3/2 What is (4024/5533)/(2/11*1)? 4 Evaluate (-2)/4*5/2*(-72)/(-1755). -2/39 1/(-12)*-2*(-3942)/657 -1 Calculate (((-6)/30)/((-10)/15))/((-108)/225). -5/8 Calculate ((-20)/60)/(3/(-108)). 12 Calculate (-8)/14*(-4)/(-16)*(-98)/7. 2 Evaluate (18/(333/(-37)))/17. -2/17 What is ((-49)/(-21)*68/(-119))/((-34)/6)? 4/17 Calculate 2/3*18*(-63)/27. -28 Calculate (2/(-38))/((34160/760)/(-61)). 1/14 What is 966/46*((-63)/(-9))/(-42)? -7/2 (6035/(-14484))/((-5)/3) 1/4 What is (-6)/(-15)*1*(-35)/((-14)/2)? 2 What is ((-624)/195)/(1*(-4)/(-40)*-2)? 16 What is the value of ((-1)/((-72)/(-32)))/(8/(-180))? 10 What is 15631/638*4/14? 7 What is the value of 12/((-1080)/570)*3? -19 What is the value of (-4)/(-8)*(-270)/(-10)*(-8)/(-6)? 18 Evaluate (-5)/7*(-147)/420. 1/4 What is (18/540)/(36/(-6)*3/(-12))? 1/45 Evaluate (6/((-216)/(-45)))/((1/4)/(-1)). -5 (2/(-22))/(84/(-396)) 3/7 -2*(45/30)/(9/(-24)) 8 Calculate (26/(-26))/(9/(-9)). 1 Calculate 33/(-154)*6/9. -1/7 Calculate 2*2/(-104)*((-4032)/(-28))/36. -2/13 What is the value of ((-4)/(-144))/((-124)/248)? -1/18 (-18)/(-4)*-1*(-1800)/(-13770)*-17 10 What is 278/(-2085)*8/28*7/4? -1/15 What is (12*3/(-288))/(1/(-20))*-2? -5 What is ((-176)/72)/((-8)/18)*-2? -11 What is (-130)/(-13)*40/400? 1 Calculate (-5)/560*-7*(-30)/5. -3/8 Evaluate 2/((-4)/1)*-25*64/(-2800). -2/7 What is the value of (-49)/5635*-23*1*-1? -1/5 What is 2*(55/(-33))/((-15)/12)? 8/3 What is the value of ((-2)/6)/(28644/1953)? -1/44 What is the value of (-56)/4*2060/(-1442)? 20 Calculate (157/471)/(14/30). 5/7 Evaluate (-39)/(-416)*-28*-12*2/28. 9/4 Evaluate 1/(615/205*(8/(-3))/2). -1/4 What is 4/(-9)*9*(-2)/2? 4 Calculate ((-31)/((-31)/6))/(252/(-1596)). -38 Evaluate (-12)/(-54)*(-357)/14*3/(-1). 17 Evaluate 14/4*45232/(-7196). -22 What is (((-28)/(-5))/(124/310))/10? 7/5 What is the value of (-4)/15*(-3095)/(-1238)? -2/3 What is the value of 2*((-13)/36*4)/(44/66)? -13/3 Evaluate ((-6)/(25/(-10)*40/25))/3. 1/2 What is the value of ((-5)/((-130)/1248))/15? 16/5 Calculate (-104)/(-12)*(-15)/25*(-30)/12. 13 What is the value of (160/70)/(68/119)? 4 What is the value of 1141/163*(-8)/14? -4 What is 3*1/((-1)/((-32)/(-12)))? -8 What is 42/(-98)*8/(-18)*9/3? 4/7 What is the value of ((-13)/(-52))/(((-81)/9)/396)? -11 Evaluate (-4)/((4/(-42))/((-128)/(-224))*-14). -12/7 What is the value of (-16)/(-4)*(-6)/192*-6? 3/4 Calculate (-10)/(50*17/(-170)). 2 Calculate (-4*-2*18/216)/((-1)/(-18)). 12 Evaluate ((-1)/((-24)/12))/(1/8). 4 What is 480/96*(-2)/45? -2/9 Calculate 3/9*10*((-12)/(-18))/(-2). -10/9 Calculate ((4/(64/(-16)))/(-5))/(112/10). 1/56 Evaluate (-23)/((-12075)/84)*(-12)/(-24). 2/25 What is (-38)/(32/(-128)*8)? 19 Evaluate (13*(-7)/(-1001))/((-3)/(-561)). 17 What is 6*(-6)/(-20)*210/(-63)? -6 What is the value of ((-3)/(-2))/((-52)/((-3328)/48))? 2 Calculate 10/(((-2)/4)/(9/45)). -4 What is ((-42)/32)/(729/(-648))? 7/6 What is the value of 39*1635/(-1962)*(-2)/(-5)? -13 Calculate 63/(-84)*56/(-735). 2/35 What is 22*(-32)/32*3/((-18)/(-3))? -11 Calculate (7/(588/8))/((-20)/(-28)). 2/15 What is (-132)/18*(-28)/8*(-3)/(-7)? 11 (((-189)/(-308))/27)/(20/32) 2/55 (46/(-161))/(8/((-112)/30)) 2/15 What is (15/(-65))/((-26862)/6292)? 2/37 Calculate 18/14*5110/(-219). -30 Calculate (3/(-12))/((-15)/(-6)*224/140). -1/16 Evaluate ((-42)/(-8))/((-103)/(-412)). 21 What is ((-90)/(-300)*(-50)/(-1))/(21/(-2))? -10/7 ((-2)/8)/((-20)/(-40)*(-1)/32) 16 What is ((-8)/(-24))/(-39*10/90)? -1/13 Calculate (1/((-5)/6))/((-144)/(-90)). -3/4 What is ((-4)/4)/(21*(-2)/(-42))? -1 What is (3/((-6)/(-8)))/((-39932)/298)? -2/67 What is ((-5)/6)/(460/(-828))? 3/2 (((-40)/7)/20)/(2/((-28)/10)) 2/5 Evaluate (-4)/((-192)/30)*(-78)/(-65). 3/4 What is 4/(-276)*(-180)/30? 2/23 ((-4)/(-4)*9/108)/((-6)/16) -2/9 Calculate ((88/77)/8)/((-22)/(-42)). 3/11 What is the value of 30/(-176)*116/87*(-32)/40? 2/11 (6/8)/(1815/(-91960)) -38 (18/30)/(960/(-2000)) -5/4 Evaluate ((-1025)/(-246))/(1/(-6)). -25 What is the value of 20/(-12)*(-20)/225*6/(-4)? -2/9 What is the value of (15/2*(-10)/200)/((-1170)/(-195))? -1/16 What is the value of ((-5)/(-22)*(-32)/30)/((-2)/(-9))? -12/11 What is (-14)/24*29/((-406)/20)? 5/6 What is the value of (90/4)/(((-1536)/16)/32)? -15/2 What is the value of ((-188)/705)/(238/35)? -2/51 Evaluate 4/(-2)*(-12)/(-168)*2. -2/7 What is -9*(-6)/(-9)*((-17)/(-2))/17? -3 150/270*10/(-50) -1/9 What is the value of 22/154*(-30)/115*(-28)/(-4)? -6/23 ((-2)/39)/((-1092)/(-4732)) -2/9 What is 84/((-54)/(3780/(-245)))? 24 What is the value of ((2624/205)/(-8))/(2/(-30))? 24 What is -88*6/168*(-7)/(-2)? -11 Calculate (25/20)/(132/99*(-120)/(-512)). 4 (-11)/132*-6*-6 -3 Calculate (391/85)/(12/(-60)). -23 (38/304)/(114/(-48)) -1/19 ((1250/20)/25)/(-2) -5/4 Calculate (12/(-33))/((-42)/77). 2/3 What is (-6)/(-48)*9384/69? 17 831/(-1939)*7/4*2 -3/2 What is the value of (6/(-5))/((-2262)/7540)? 4 What is (-91)/14*938/(-871)? 7 What is the value of 976/(-183)*-3*(-4)/(-8)? 8 What is 1/4
{ "pile_set_name": "DM Mathematics" }
+ 2*i**2 - 2*i**2. 2*(i + 2)**2 Determine r, given that -3/2 - 3*r - 3/2*r**2 = 0. -1 Let i be ((-70)/5 - -4)/(-2). Let p(m) be the third derivative of 0 + 1/3*m**3 + 0*m - 1/60*m**i + 1/24*m**4 - 3*m**2. Let p(t) = 0. What is t? -1, 2 Let o = 29 - 17. Suppose -2*u = 3*i + 2*i - 20, 4*i - 4*u + o = 0. Find l such that -3/4*l**i + 0 + 1/4*l + 3/4*l**3 - 1/4*l**4 = 0. 0, 1 Let n(x) = x**3 - 2*x**2 + 2. Let s be n(2). Let j(o) be the first derivative of 1/6*o**3 - 1 - 1/8*o**4 + 1/2*o**s + 0*o. Factor j(k). -k*(k - 2)*(k + 1)/2 Let g(i) = -12*i**2 - 1 + 9 + 2*i**3 + 12*i**3 - 2*i + 0*i**3. Let h(n) = 5*n**3 - 4*n**2 - n + 3. Let c(q) = 3*g(q) - 8*h(q). Factor c(b). 2*b*(b - 1)**2 Let q(s) be the second derivative of s**4/3 + 2*s**3 + 4*s**2 - 45*s. Let q(a) = 0. What is a? -2, -1 Determine p so that -66*p**3 + 7*p**4 + 5*p**4 - 8*p + 98*p**3 + 12*p**2 = 0. -2, -1, 0, 1/3 Let b be 33/(-22) + 6/4. Suppose 2/7*g**3 + 2/7*g**2 + b - 2/7*g**5 - 2/7*g**4 + 0*g = 0. What is g? -1, 0, 1 Let t be (-3)/15 + (-38)/10. Let b = t - -4. Determine r so that r - 4*r**3 + b + 5/2*r**4 + 1/2*r**2 = 0. -2/5, 0, 1 Let t(x) be the second derivative of 5*x**4/12 - 5*x**3/2 + 5*x**2 - 17*x. Factor t(a). 5*(a - 2)*(a - 1) Suppose -1/2*d**5 + 0*d + 1/2*d**3 - 7/2*d**4 + 7/2*d**2 + 0 = 0. Calculate d. -7, -1, 0, 1 Let u(f) be the second derivative of -f**5/40 - f**4/12 - f**3/12 - 24*f. Let u(b) = 0. What is b? -1, 0 Let f = -6/17 + 165/34. Factor 3/4*g + 0 + f*g**2 + 27/4*g**3. 3*g*(3*g + 1)**2/4 Let l(i) be the third derivative of -i**7/70 + 7*i**6/60 - 13*i**5/60 - i**4/4 + 45*i**2. Suppose l(d) = 0. What is d? -1/3, 0, 2, 3 Let m(o) = 5*o**2 - o - 2. Let n(u) = u**2. Suppose -3*f + 20 = -5*x - 0*x, 0 = 2*x - 2*f + 8. Let i(p) = x*n(p) + m(p). Factor i(a). (a - 2)*(a + 1) Suppose -93 = -3*o - 0. Let l = o + -29. Suppose -2/5*z - 2/5*z**3 + 0 + 4/5*z**l = 0. Calculate z. 0, 1 Factor -8/3*z + 16/3*z**2 - 10/3*z**3 + 0 + 2/3*z**4. 2*z*(z - 2)**2*(z - 1)/3 Suppose 12*x = 18*x - 12. Suppose -1/2*f**x - 1/4*f**3 + 0 - 1/4*f = 0. Calculate f. -1, 0 Let t(w) be the third derivative of 0*w**3 + 0 - 1/48*w**4 - 1/80*w**6 + 1/420*w**7 + 3*w**2 + 1/40*w**5 + 0*w. Let t(g) = 0. What is g? 0, 1 Let z = -2 - 2. Let q = z - -6. Factor 6 - q*f + f**3 - 8 - f. (f - 2)*(f + 1)**2 Let h = 125 - 123. Let i(p) be the first derivative of 1/22*p**4 - 4/11*p + 2 + 4/33*p**3 - 1/11*p**h. Determine j so that i(j) = 0. -2, -1, 1 Factor 3*s**2 - 2*s**3 - 5*s**3 - s**2 + 5*s**3. -2*s**2*(s - 1) Factor -3 - 14*y - 5 - y - 10 - 3*y**2. -3*(y + 2)*(y + 3) Let j be (-81)/30 + 4/(-20). Let h = -12/5 - j. Factor 1/2*d + 0 + h*d**3 + d**2. d*(d + 1)**2/2 Let p(i) = i**2 + 3*i + 2. Let m be p(-3). Determine f, given that 0*f**3 - 7*f**m + f**2 - 4*f**3 - 2*f**2 = 0. -2, 0 Let v(j) = j**2 + j - 2. Let q(g) = g**2 - 14*g + 13. Let i(m) = q(m) + 4*v(m). Factor i(x). 5*(x - 1)**2 Find q such that 4/7*q**4 + 60/7*q**2 + 32/7*q**3 - 32/7*q - 64/7 = 0. -4, -1, 1 Let g(f) be the first derivative of f**5/5 + 15. Factor g(w). w**4 Let c be 0/((-1 + -3)/(-4)). Let f = 1/3 + c. Factor 0 - f*d**3 - 1/3*d - 2/3*d**2. -d*(d + 1)**2/3 Let b = -78 - -81. Let 1/5 - 1/5*m + 1/5*m**b - 1/5*m**2 = 0. What is m? -1, 1 Suppose 5*n - z + 2*z = 1, 4 = 4*n + 4*z. What is g in n - 1/5*g + 1/5*g**2 = 0? 0, 1 Let o(v) be the second derivative of -v**9/37800 + v**7/6300 + v**4/6 + 3*v. Let a(t) be the third derivative of o(t). Factor a(i). -2*i**2*(i - 1)*(i + 1)/5 Let j(p) = 9*p. Let a(s) = s**2 - 10*s. Suppose -c + 0*c = 0. Suppose -4*y - y - 15 = c. Let t(x) = y*a(x) - 4*j(x). Factor t(i). -3*i*(i + 2) Let n(u) be the second derivative of -u**6/360 - u**5/30 - u**4/6 + u**3/2 - 6*u. Let i(o) be the second derivative of n(o). Find w such that i(w) = 0. -2 Let n(x) be the first derivative of -x**5/20 - x**4/6 + x - 3. Let r(f) be the first derivative of n(f). Solve r(g) = 0 for g. -2, 0 Let c(l) = 2*l**3 + 21*l**2 + 3*l + 6. Let r(h) = -h**3 - 11*h**2 - h - 3. Let j(u) = -6*c(u) - 11*r(u). Factor j(o). -(o + 1)**2*(o + 3) Let w(g) be the first derivative of -5*g**4/4 - 20*g**3 - 120*g**2 - 320*g - 8. Solve w(x) = 0 for x. -4 Let k(g) = -7*g**3 - 17*g**2 + 18*g + 67. Let w(b) = -3*b**3 - 9*b**2 + 9*b + 33. Let p(o) = -6*k(o) + 13*w(o). Factor p(c). 3*(c - 3)**2*(c + 1) Factor 0 + 0*o - o**2 + 1/2*o**3. o**2*(o - 2)/2 Let c(p) be the second derivative of -p**6/105 + 3*p**5/70 - p**4/42 - p**3/7 + 2*p**2/7 + 44*p. Find z such that c(z) = 0. -1, 1, 2 Let u(w) be the third derivative of w**10/75600 - w**8/10080 - w**5/15 + w**2. Let f(x) be the third derivative of u(x). Factor f(r). 2*r**2*(r - 1)*(r + 1) Let n(w) be the second derivative of w**5/80 + w**4/48 + w. Let n(v) = 0. Calculate v. -1, 0 Suppose 3*t + 3 = 3*m, 4*t + 5*m - 31 + 8 = 0. Suppose -k - 4*k - 8 = t*r, -2*r = 3*k + 8. Suppose 0 + k*v - 2/3*v**4 + 2/3*v**2 + 0*v**3 = 0. Calculate v. -1, 0, 1 Suppose m = -0*m + 2. Suppose 0 = -m*h + 2 + 2. Suppose j**2 + j**h - 4*j**3 + 2*j**4 - 4*j**3 + 4*j**3 = 0. Calculate j. 0, 1 Let t = -444 + 816. Let j = t - 1854/5. Suppose -j*d + 9/5*d**2 - 3/5*d**3 + 0 = 0. What is d? 0, 1, 2 Let s be ((-860)/(-48) - 18)/(1/(-8)). Determine l, given that -s*l**2 - 4/9*l + 0 - 2/9*l**3 = 0. -2, -1, 0 Suppose -4*p = -3*z + 2*z + 4, 0 = 3*z + 4*p + 4. Factor -22*g**3 - 4*g**2 - 8 + z*g**3 - 32*g**4 - 14*g**5 + 8. -2*g**2*(g + 1)**2*(7*g + 2) Let h(z) be the third derivative of -1/100*z**6 + 1/50*z**5 - 1/60*z**4 + 1/525*z**7 + 0*z**3 + 0*z + 3*z**2 + 0. Factor h(a). 2*a*(a - 1)**3/5 Let b(n) be the first derivative of n**4/48 - n**3/4 + 9*n**2/8 + 4*n - 3. Let z(s) be the first derivative of b(s). Find u, given that z(u) = 0. 3 Let y(s) = 69*s**2 - 32*s - 1. Let h(g) = -103*g**2 + 48*g + 1. Suppose -15 = 3*k - 3*w, -3*k = -5*w + 10 + 5. Let f(r) = k*h(r) - 7*y(r). Factor f(m). 2*(4*m - 1)**2 Let x(k) be the second derivative of 9*k**6/20 + 3*k**5/5 + k**4/3 + 3*k**3/2 + 6*k. Let t(w) be the second derivative of x(w). Suppose t(z) = 0. Calculate z. -2/9 Suppose 2*g + 1 = -2*a - 5, g + 4*a + 18 = 0. Suppose 2*n + g = 3*n. Find t, given that 0 - 2/5*t**n + 2/5*t = 0. 0, 1 Let g(w) be the first derivative of 1/7*w**2 - 2/21*w**3 + 1/42*w**4 - 3*w + 2. Let v(i) be the first derivative of g(i). What is r in v(r) = 0? 1 Let d = -4 + 8. Suppose 20 = -b - 4*b - 5*a, 16 = -b - d*a. Determine z, given that 1/3*z**2 + 1/3*z**4 - 2/3*z**3 + 0 + b*z = 0. 0, 1 Let o(j) = j**2 + j - 5. Let s(v) = 3*v**2 + 3*v - 12. Let m(c) = -12*o(c) + 5*s(c). Factor m(g). 3*g*(g + 1) Let k(w) be the third derivative of -w**5/60 + w**3/6 - w**2. Let u(z) = 3*z**2 + 2*z - 1. Let x(d) = -5*k(d) - u(d). Let x(g) = 0. What is g? -1, 2 Let u(b) = -b**2 + 4*b + 2. Let i be u(4). Factor -4*o + 5*o + 0*o + 2*o**i - 3*o. 2*o*(o - 1) Let m(l) be the first derivative of -l**5/20 + l**3/12 + 4. Factor m(a). -a**2*(a - 1)*(a + 1)/4 Suppose -44 = 4*n + 4*d, 12 = -5*n + 2*d - 8. Let b = 6 + n. Suppose m**2 + 3*m + 1 - 5*m + b = 0. What is m? 1 Let b(s) = -5*s**4 + 9*s**3 + s**2 - 5*s + 8. Suppose -2*o + o - 8 = 0. Let u(p) = 2*p**4 - 3*p**3 + 2*p - 3. Let j(w) = o*u(w) - 3*b(w). Factor j(r). -r*(r + 1)**3 Let g(p) be the first derivative of 1/420*p**6 - 1/210*p**5 + 0*p + 1/21*p**3 - 2 - 1/84*p**4 + p**2. Let w(f) be the second derivative of g(f). Factor w(r). 2*(r - 1)**2*(r + 1)/7 Let f(y) be the second derivative of y**4/36 - y**3/3 + 3*y**2/2 + 3*y. Factor f(c). (c - 3)**2/3 Let i be 3/((8/6)/(2/9)). Find m, given that 0*m**2 - 4/3*m**4 - i*m**5 + 1/6*m + 0 - m**3 = 0. -1, 0, 1/3 Suppose 26*m - 32*m + 18 = 0. Let v(t) be the second derivative of 1/24*t**4 + 0*t**2 - m*t + 1/12*t**3 + 0. Solve v(o) = 0 for o. -1, 0 Let x be (-26)/(-36) + (-6 - -5). Let j = 2/9 - x. Suppose -1/2*f + f**2 - j*f**3 + 0 = 0. Calculate f. 0, 1 Let f be (1 - -23)/(-2) - -2. Let k be ((-4)/f)/(28/20). Factor -k*o**2 + 2/7*o + 4/7. -2*(o - 2)*(o + 1)/7 Let t = -48 + 434/9. Factor 2/3*i**2 - t + 4/9*i. 2*(i + 1)*(3*i - 1)/9 Let o(m) be the second derivative of 0 + 1/12*m**3 + 5*m + 0*m**2 + 1/40*m**5 + 1/12*m**4. Determine a so that o(a) = 0. -1, 0 Suppose -u - 3*k = 8, u = -0*u + 3*k + 10. Let g be 0 + 5/u - 2. Find n, given that 2/9 + 4/9*n**g - 4/9*n - 2/9*n**4 + 0*n**2 = 0. -1, 1 Factor t**2 - 3 + 3 + t**2 + 2
{ "pile_set_name": "DM Mathematics" }
n 10:14 PM and 3:10 AM? 296 What is 514 minutes after 5:37 AM? 2:11 PM What is 291 minutes after 2:57 PM? 7:48 PM How many minutes are there between 1:19 AM and 9:30 AM? 491 What is 385 minutes before 8:41 PM? 2:16 PM What is 719 minutes before 9:40 PM? 9:41 AM How many minutes are there between 10:03 AM and 7:02 PM? 539 What is 12 minutes after 12:26 PM? 12:38 PM How many minutes are there between 7:36 AM and 5:28 PM? 592 How many minutes are there between 8:39 AM and 7:06 PM? 627 What is 655 minutes after 3:48 PM? 2:43 AM What is 170 minutes before 3:43 PM? 12:53 PM How many minutes are there between 8:01 PM and 7:01 AM? 660 What is 374 minutes after 4:40 PM? 10:54 PM What is 616 minutes before 1:40 AM? 3:24 PM What is 687 minutes before 11:56 PM? 12:29 PM What is 491 minutes before 8:37 PM? 12:26 PM How many minutes are there between 3:26 PM and 5:55 PM? 149 What is 410 minutes before 4:28 PM? 9:38 AM How many minutes are there between 11:14 AM and 10:41 PM? 687 What is 688 minutes after 4:23 PM? 3:51 AM How many minutes are there between 3:34 AM and 10:37 AM? 423 How many minutes are there between 2:05 PM and 7:47 PM? 342 What is 194 minutes after 7:17 AM? 10:31 AM How many minutes are there between 10:12 AM and 6:02 PM? 470 How many minutes are there between 3:39 AM and 7:06 AM? 207 How many minutes are there between 7:43 PM and 5:19 AM? 576 How many minutes are there between 12:04 AM and 6:48 AM? 404 What is 490 minutes after 2:17 AM? 10:27 AM What is 564 minutes after 10:40 AM? 8:04 PM What is 304 minutes before 12:51 AM? 7:47 PM How many minutes are there between 4:47 AM and 7:58 AM? 191 How many minutes are there between 3:15 PM and 2:54 AM? 699 How many minutes are there between 9:19 AM and 11:47 AM? 148 What is 166 minutes after 11:19 AM? 2:05 PM What is 76 minutes after 8:35 PM? 9:51 PM What is 243 minutes after 3:14 PM? 7:17 PM What is 62 minutes after 11:26 AM? 12:28 PM How many minutes are there between 8:22 AM and 10:19 AM? 117 How many minutes are there between 7:31 AM and 2:17 PM? 406 How many minutes are there between 5:37 AM and 2:27 PM? 530 What is 704 minutes before 3:58 AM? 4:14 PM How many minutes are there between 11:18 AM and 11:58 AM? 40 How many minutes are there between 2:15 PM and 6:58 PM? 283 What is 708 minutes before 3:51 PM? 4:03 AM How many minutes are there between 11:08 AM and 7:35 PM? 507 What is 424 minutes before 10:45 PM? 3:41 PM How many minutes are there between 2:07 AM and 9:17 AM? 430 What is 445 minutes after 6:15 PM? 1:40 AM How many minutes are there between 1:29 AM and 8:10 AM? 401 What is 152 minutes after 2:03 PM? 4:35 PM What is 558 minutes before 8:32 PM? 11:14 AM How many minutes are there between 2:13 PM and 10:37 PM? 504 How many minutes are there between 5:57 PM and 8:29 PM? 152 What is 689 minutes before 10:42 PM? 11:13 AM What is 583 minutes before 5:03 PM? 7:20 AM What is 404 minutes before 6:18 AM? 11:34 PM How many minutes are there between 2:01 AM and 4:37 AM? 156 What is 514 minutes before 6:42 AM? 10:08 PM What is 458 minutes after 8:35 PM? 4:13 AM What is 25 minutes before 3:34 AM? 3:09 AM How many minutes are there between 4:44 PM and 7:24 PM? 160 What is 52 minutes after 12:31 AM? 1:23 AM How many minutes are there between 10:24 AM and 8:47 PM? 623 What is 547 minutes before 1:13 PM? 4:06 AM What is 33 minutes before 3:21 PM? 2:48 PM How many minutes are there between 7:48 PM and 3:27 AM? 459 How many minutes are there between 12:12 PM and 2:02 PM? 110 How many minutes are there between 5:03 PM and 5:22 PM? 19 What is 524 minutes after 12:46 AM? 9:30 AM What is 482 minutes after 10:21 AM? 6:23 PM What is 630 minutes after 1:51 PM? 12:21 AM What is 279 minutes after 9:55 PM? 2:34 AM What is 171 minutes after 11:29 PM? 2:20 AM How many minutes are there between 6:57 AM and 12:01 PM? 304 What is 458 minutes before 2:49 AM? 7:11 PM What is 705 minutes after 4:39 PM? 4:24 AM How many minutes are there between 12:48 AM and 10:43 AM? 595 How many minutes are there between 8:03 AM and 1:18 PM? 315 How many minutes are there between 10:48 PM and 9:22 AM? 634 How many minutes are there between 5:16 PM and 8:47 PM? 211 How many minutes are there between 4:58 AM and 3:05 PM? 607 How many minutes are there between 5:10 PM and 2:34 AM? 564 What is 481 minutes after 2:11 PM? 10:12 PM How many minutes are there between 12:49 AM and 12:43 PM? 714 What is 627 minutes after 10:42 AM? 9:09 PM What is 305 minutes after 10:32 AM? 3:37 PM How many minutes are there between 1:58 AM and 9:46 AM? 468 What is 655 minutes before 10:40 AM? 11:45 PM How many minutes are there between 1:35 AM and 11:52 AM? 617 How many minutes are there between 12:11 AM and 1:54 AM? 103 What is 36 minutes after 2:08 PM? 2:44 PM How many minutes are there between 9:08 PM and 7:54 AM? 646 How many minutes are there between 8:31 AM and 1:20 PM? 289 How many minutes are there between 8:29 AM and 10:54 AM? 145 How many minutes are there between 6:30 AM and 5:50 PM? 680 How many minutes are there between 7:53 AM and 1:38 PM? 345 How many minutes are there between 7:19 PM and 1:31 AM? 372 How many minutes are there between 7:45 AM and 9:17 AM? 92 What is 101 minutes before 10:25 PM? 8:44 PM How many minutes are there between 9:52 AM and 6:59 PM? 547 How many minutes are there between 10:19 PM and 8:16 AM? 597 How many minutes are there between 4:06 AM and 3:33 PM? 687 What is 354 minutes after 12:39 AM? 6:33 AM How many minutes are there between 9:09 PM and 10:38 PM? 89 How many minutes are there between 12:54 PM and 8:40 PM? 466 How many minutes are there between 9:36 AM and 1:56 PM? 260 How many minutes are there between 11:56 PM and 4:07 AM? 251 What is 707 minutes before 11:55 PM? 12:08 PM How many minutes are there between 9:54 PM and 5:27 AM? 453 What is 677 minutes after 1:54 AM? 1:11 PM How many minutes are there between 7:12 AM and 7:14 AM? 2 How many minutes are there between 5:03 AM and 6:35 AM? 92 How many minutes are there between 1:01 AM and 8:37 AM? 456 What is 115 minutes before 6:42 PM? 4:47 PM What is 572 minutes after 7:33 AM? 5:05 PM What is 627 minutes before 11:57 PM? 1:30 PM How many minutes are there between 12:37 AM and 6:50 AM? 373 How many minutes are there between 2:25 PM and 12:55 AM? 630 What is 211 minutes before 4:07 AM? 12:36 AM What is 90 minutes before 2:02 AM? 12:32 AM How many minutes are there between 1:52 PM and 11:49 PM? 597 How many minutes are there between 5:07 PM and 2:54 AM? 587 What is 539 minutes before 10:57 PM? 1:58 PM What is 63 minutes before 1:55 PM? 12:52 PM What is 400 minutes after 4:02 PM? 10:42 PM What is 386 minutes after 3:26 PM? 9:52 PM How many minutes are there between 6:24 PM and 12:01 AM? 337 How many minutes are there between 1:25 PM and 2:17 PM? 52 What is 581 minutes after 3:21 AM? 1:02 PM What is 514 minutes before 11:38 AM? 3:04 AM What is 52 minutes before 1:04 AM? 12:12 AM What is 530 minutes before 7:08 AM? 10:18 PM How many minutes are there between 3:20 PM and 11:31 PM? 491 What is 41 minutes before 10:10 PM? 9:29 PM What is 139 minutes after 5:02 AM? 7:21 AM How many minutes are there between 12:04 AM and 2:37 AM? 153 What is 35 minutes after 1:04 PM? 1:39 PM How many minutes are there between 9:11 PM and 7:45 AM? 634 How many minutes are there between 12:28 PM and 8:15 PM? 467 What is 296 minutes after 7:21 PM? 12:17 AM How many minutes are there between 5:58 AM and 6:09 AM? 11 What is 507 minutes before 5:22 PM? 8:55 AM What is 706 minutes after 5:25 PM? 5:11 AM What is 159 minutes after 6:41 PM? 9:20 PM What is 647 minutes before 6:54 PM? 8:07 AM How many minutes are there between 4:20 PM and 8:23 PM? 243 What is 419 minutes after 12:07 AM? 7:06 AM What is 71 minutes before 5:07 PM? 3:56 PM How many minutes are there between 1:37 AM and 7:36 AM? 359 What is 641 minutes before 5:03 PM? 6:22 AM How many minutes are there between 12:36 PM and 6:31 PM? 355 How many minutes are there between 6:49 AM and 7:42 AM? 53 What is 145 minutes after 4:08 AM? 6:33 AM How many minutes are there between 6:41 AM and 2:46 PM? 485 How many minutes are there between 10:58 AM and 8:47 PM? 589 How many minutes are there between 9:10 PM and 3:41 AM? 391 What is 557 minutes
{ "pile_set_name": "DM Mathematics" }
at is 0.7396942m in millimeters? 739.6942 What is 4.398565ml in litres? 0.004398565 What is 22/15 of a minute in milliseconds? 88000 Convert 61700.98 millilitres to litres. 61.70098 What is 39.35889 millennia in decades? 3935.889 What is eighteen fifths of a kilogram in grams? 3600 What is 692962.7 tonnes in milligrams? 692962700000000 How many nanometers are there in 21/8 of a micrometer? 2625 What is thirty-three fifths of a millennium in months? 79200 Convert 998.8448ml to litres. 0.9988448 How many centuries are there in fifty-four fifths of a millennium? 108 How many months are there in 45/4 of a year? 135 What is 0.7368655 millennia in months? 8842.386 What is 4.78806 minutes in nanoseconds? 287283600000 How many millimeters are there in three fifths of a centimeter? 6 How many micrometers are there in 25/2 of a millimeter? 12500 How many centimeters are there in 1/5 of a meter? 20 How many microseconds are there in nine tenths of a millisecond? 900 How many kilograms are there in 18/5 of a tonne? 3600 What is five sixths of a millennium in months? 10000 What is 1.008949 decades in months? 121.07388 Convert 0.4338746 years to months. 5.2064952 What is 0.1044696 micrometers in nanometers? 104.4696 How many micrometers are there in 759.4353 kilometers? 759435300000 Convert 62.70585g to milligrams. 62705.85 What is 5/4 of a litre in millilitres? 1250 What is 54.125586us in hours? 0.000000015034885 Convert 24306.339 months to millennia. 2.02552825 Convert 55174.4 centimeters to micrometers. 551744000 What is five quarters of a microgram in nanograms? 1250 Convert 30.04371ns to minutes. 0.0000000005007285 How many hours are there in 99.13947 minutes? 1.6523245 How many months are there in 7/6 of a decade? 140 Convert 95377.04ml to litres. 95.37704 How many months are there in 404.7698 years? 4857.2376 What is 1/24 of a week in hours? 7 Convert 0.526597g to tonnes. 0.000000526597 What is 26.82588 weeks in milliseconds? 16224292224 How many decades are there in 15148.347 months? 126.236225 Convert 0.9534831l to millilitres. 953.4831 What is eleven eighths of a litre in millilitres? 1375 How many millilitres are there in 11/8 of a litre? 1375 How many millilitres are there in 25/2 of a litre? 12500 What is 1/4 of a tonne in kilograms? 250 Convert 7599754.8 seconds to days. 87.960125 What is 13/8 of a milligram in micrograms? 1625 Convert 2724.56ml to litres. 2.72456 What is 387.435195 minutes in weeks? 0.03843603125 How many millilitres are there in nine tenths of a litre? 900 How many micrometers are there in 0.9172533cm? 9172.533 What is five quarters of a litre in millilitres? 1250 What is 3/10 of a litre in millilitres? 300 How many millilitres are there in 4.043181l? 4043.181 How many years are there in 89/2 of a century? 4450 How many months are there in 29/5 of a millennium? 69600 What is 1/30 of a week in seconds? 20160 How many nanograms are there in 690357.1 micrograms? 690357100 How many months are there in 62/3 of a century? 24800 What is 247131.81ms in days? 0.002860321875 How many kilometers are there in 522069.6 nanometers? 0.0000005220696 What is one twentieth of a meter in centimeters? 5 What is seventeen halves of a tonne in kilograms? 8500 How many millilitres are there in 2352.219l? 2352219 Convert 7.662167 milligrams to grams. 0.007662167 How many nanometers are there in 5/8 of a micrometer? 625 How many millilitres are there in 13/5 of a litre? 2600 What is eighteen fifths of a litre in millilitres? 3600 What is 18/5 of a century in years? 360 How many micrometers are there in fifty-five halves of a millimeter? 27500 Convert 622182.1mm to micrometers. 622182100 How many milligrams are there in 1/16 of a kilogram? 62500 What is 126810.3 kilometers in millimeters? 126810300000 How many centuries are there in 0.4881475 millennia? 4.881475 What is seventeen halves of a litre in millilitres? 8500 How many milliseconds are there in thirteen quarters of a second? 3250 Convert 253.3004g to milligrams. 253300.4 What is 7/4 of a litre in millilitres? 1750 Convert 8.530344ml to litres. 0.008530344 How many nanograms are there in 78447.1 tonnes? 78447100000000000000 What is 1.057825 millennia in decades? 105.7825 How many litres are there in 684031.6ml? 684.0316 Convert 150032.2nm to millimeters. 0.1500322 How many kilograms are there in 708.2427 grams? 0.7082427 Convert 17.71581 grams to nanograms. 17715810000 How many grams are there in 3/32 of a tonne? 93750 How many nanometers are there in thirty-two fifths of a micrometer? 6400 How many decades are there in 79871.91 centuries? 798719.1 How many seconds are there in seventeen halves of a minute? 510 How many seconds are there in 8/15 of a day? 46080 What is 7/2 of a millimeter in micrometers? 3500 How many micrograms are there in thirty-three fifths of a milligram? 6600 Convert 9.484228 years to decades. 0.9484228 How many kilograms are there in 685.6506ug? 0.0000006856506 How many milligrams are there in 71/4 of a gram? 17750 Convert 5668.223 minutes to microseconds. 340093380000 How many milliseconds are there in 7/2 of a second? 3500 What is 231.7283 decades in years? 2317.283 How many years are there in 1/10 of a millennium? 100 How many meters are there in fourty-three halves of a kilometer? 21500 How many millilitres are there in eighty-one halves of a litre? 40500 What is seven quarters of a hour in seconds? 6300 How many minutes are there in seventeen sevenths of a week? 24480 Convert 590.1757t to micrograms. 590175700000000 What is 21/4 of a millimeter in micrometers? 5250 Convert 1809730.377ns to weeks. 0.0000000029922790625 What is thirty-one fifths of a micrometer in nanometers? 6200 How many millimeters are there in 6233.486nm? 0.006233486 What is three eighths of a litre in millilitres? 375 How many kilograms are there in 2.767311g? 0.002767311 How many months are there in 1/6 of a year? 2 How many centimeters are there in 3/40 of a kilometer? 7500 How many milliseconds are there in eight fifteenths of a minute? 32000 Convert 44644.9 litres to millilitres. 44644900 What is three eighths of a micrometer in nanometers? 375 How many microseconds are there in 68237.5s? 68237500000 What is 1/20 of a milligram in nanograms? 50000 What is 934841.5 millennia in centuries? 9348415 Convert 1112824.2 months to centuries. 927.3535 What is nine tenths of a centimeter in micrometers? 9000 What is seven halves of a decade in months? 420 Convert 2.442973l to millilitres. 2442.973 What is 549415.1t in milligrams? 549415100000000 What is sixty-one halves of a meter in centimeters? 3050 What is 17/2 of a week in minutes? 85680 What is 42.15181 centimeters in millimeters? 421.5181 What is 2156.13 grams in kilograms? 2.15613 What is 3/10 of a millennium in decades? 30 How many millilitres are there in 61/2 of a litre? 30500 What is seventeen quarters of a meter in centimeters? 425 What is 3/40 of a meter in micrometers? 75000 How many kilograms are there in eleven eighths of a tonne? 1375 What is twenty-one quarters of a day in minutes? 7560 Convert 78165.61mg to grams. 78.16561 What is 25/4 of a microsecond in nanoseconds? 6250 What is 34/5 of a millisecond in microseconds? 6800 How many micrometers are there in 1/80 of a centimeter? 125 What is 1/20 of a milligram in micrograms? 50 How many years are there in 1/5 of a century? 20 How many micrometers are there in 5.539648cm? 55396.48 How many milligrams are there in 3/5 of a gram? 600 Convert 0.032988mm to kilometers. 0.000000032988 Convert 13945.35km to centimeters. 1394535000 How many millilitres are there in seven quarters of a litre? 1750 How many millilitres are there in 0.0386611l? 38.6611 What is fifteen quarters of a meter in millimeters? 3750 How many months are there in 4/3 of a decade? 160 What is 825.5955 centuries in months? 990714.6 What is 12.3575kg in micrograms? 12357500000 How many millilitres are there in 12/25 of a litre? 480 Convert 273969.57 months to years. 22830.7975 What is 0.4173807 centuries in decades? 4.173807 How many decades are there in 26410.965 months? 220.091375 Convert 336.8566 hours to minutes. 20211.396 How many millilitres are there in 0.5741454l? 574.1454 What is 6.752433ml in litres? 0.00675
{ "pile_set_name": "DM Mathematics" }
*s**2 - 18*s**g. What is y(u(q))? 392*q**4 Let p(x) = 30*x. Let c(o) = -21*o + 8*o + 12*o. Determine p(c(i)). -30*i Let c(j) = 3*j + 27. Let u(w) = w - 3. What is c(u(q))? 3*q + 18 Suppose 3*d + 12 = -2*a, -4*d - 26 = -2*a - 10. Let o(z) = a*z + 0*z - 3*z. Let k(p) = 2*p**2. Determine o(k(l)). -6*l**2 Let s(i) = 3*i**2. Let n(g) = -g**2. Let f(a) = -n(a) - s(a). Let b(r) = 8*r. What is f(b(p))? -128*p**2 Let o(p) = -3*p. Let g(i) = -53*i. Determine o(g(n)). 159*n Let u(h) = -10*h - 62. Let w(p) = 6*p. Give u(w(y)). -60*y - 62 Let p = -6 + 10. Suppose -p*y = -3*l - 19, -2*y - 5*l + 2 = -1. Let s(f) = f**2 - y*f + 4*f + 0*f. Let x(o) = 2*o**2. Calculate s(x(z)). 4*z**4 Let r(p) = -p - 2. Let v(l) = 2*l + 5. Let b(f) = 5*r(f) + 2*v(f). Let t(k) = -2*k**2. What is b(t(x))? 2*x**2 Let d(n) = n. Let z(c) = -10*c**2. Determine d(z(k)). -10*k**2 Let t(u) = u**2. Let g(l) = 803*l. Calculate t(g(m)). 644809*m**2 Let h(f) be the second derivative of f**4/6 - 3*f. Let o(c) = -6*c. Calculate h(o(p)). 72*p**2 Let r(c) = -199*c. Let y(o) = 3*o**2. Calculate r(y(t)). -597*t**2 Let f(r) be the first derivative of -r**6/72 + 2*r**3 - 2. Let t(q) be the third derivative of f(q). Let v(j) = j**2. Determine v(t(p)). 25*p**4 Let n(o) = o + 5*o - 2*o. Let f(s) be the second derivative of -s**3/6 + 2*s. Give n(f(r)). -4*r Let o(g) = -2*g**2. Let y = -9 + 14. Let x(i) = -i. Let p(d) = 3*d. Suppose 2*a - 7*a = 3*z - 10, 2*z = -a + 2. Let b(s) = a*p(s) + y*x(s). What is o(b(r))? -2*r**2 Let s(a) = -2*a**2. Let u(x) = -7*x + 2. Let d(h) = 6*h - 2. Let o(p) = -6*d(p) - 5*u(p). Give s(o(t)). -2*t**2 + 8*t - 8 Let y(z) = 21*z. Let j(n) = -6*n + 13*n - 6*n. Determine y(j(f)). 21*f Let p(s) = -5*s**2. Let q = -12 - -25. Let u(j) = q - 2*j - 13. Calculate u(p(i)). 10*i**2 Let k(f) = 3*f**2 + 2*f - 2. Let i(g) = -16*g**2 - 11*g + 11. Let h(c) = -4*i(c) - 22*k(c). Let n(z) = 2*z**2 - 6. Calculate h(n(o)). -8*o**4 + 48*o**2 - 72 Let g be 0/(-7 + (0 - -5)). Let h(a) be the third derivative of 2*a**2 + g + 0*a**3 + 0*a + 1/12*a**4. Let k(r) = 6*r**2. Calculate h(k(f)). 12*f**2 Let n(q) = -q**2. Let t(g) be the first derivative of 0*g**3 + 0*g - 3/2*g**2 + 1/12*g**4 - 3. Let m(f) be the second derivative of t(f). What is n(m(s))? -4*s**2 Let m(t) = -2*t + 6*t - 2*t. Let c(x) be the second derivative of -5*x**3/3 - 3*x. Give c(m(h)). -20*h Let o(d) = d + 2*d - 2*d. Let z(m) = -3*m**2 - 4. Let u(f) = -1. Let p(a) = -1. Let y(c) = 5*p(c) - 6*u(c). Let x(n) = 4*y(n) + z(n). Calculate x(o(q)). -3*q**2 Let s(m) = -m. Let c(o) = 262*o. What is s(c(w))? -262*w Let k(t) = 1 - 1 - 2*t**2. Let w(d) be the first derivative of d**2/2 - 16. What is w(k(u))? -2*u**2 Let k(i) = -2*i. Let x(r) = -193*r**2 - 2*r. Calculate x(k(h)). -772*h**2 + 4*h Let k(v) = v**2. Let h(n) = -15*n**2 - 9*n. Determine h(k(d)). -15*d**4 - 9*d**2 Let o(x) = 7*x**2 - 5*x**2 - x**2. Let m(y) = -4*y**2. Give m(o(t)). -4*t**4 Let u(g) = 5. Let c(y) = -2*y + 80. Let p(q) = 5*c(q) - 80*u(q). Let j(i) = -6*i**2. Give p(j(s)). 60*s**2 Let k(n) = -n**2 + 1. Let x(o) = -7*o**2 + 6. Let a = 10 - 11. Let b(i) = a*x(i) + 6*k(i). Let z(r) = 3*r**2. What is z(b(u))? 3*u**4 Let q(j) = -2*j. Let r(p) = -25*p. Let g(b) = -1624*b. Let s(f) = -4*g(f) + 261*r(f). Determine s(q(u)). 58*u Let a(u) be the first derivative of -10*u**2 + 3. Let i(p) = -p. Give i(a(t)). 20*t Let c(u) = 2*u. Let s(y) be the first derivative of -y**3/3 + y + 3. Let t(o) be the first derivative of s(o). What is c(t(b))? -4*b Let n(u) = 6*u + 17. Let h(o) = -12*o. Give h(n(z)). -72*z - 204 Let b(f) = -4*f**2. Let y(o) = o**3 - 8*o**2 + 3*o - 12. Let q be y(8). Let x(z) = 3*z**2 + q*z**2 - 18*z**2. Calculate x(b(l)). -48*l**4 Let d(j) = 2*j**2. Let m(f) be the third derivative of 0*f + 0*f**3 + 0 + 3*f**2 + 1/4*f**4. Determine m(d(q)). 12*q**2 Let k(u) = 2*u. Let l(b) be the third derivative of 0*b - 7/60*b**5 - 2*b**2 + 0*b**3 + 0*b**4 + 0. What is k(l(s))? -14*s**2 Let q(s) be the first derivative of -s**3 + 6. Let t(w) = -w. Give q(t(k)). -3*k**2 Let i(j) = j**2. Let d(q) be the first derivative of -q**5/60 - 2*q**2 - 5. Let a(z) be the second derivative of d(z). Give i(a(n)). n**4 Let a(n) be the first derivative of -n**5/60 + n**3/3 - 2. Let z(f) be the third derivative of a(f). Let h(q) = -3*q. Give z(h(w)). 6*w Let p = 8 + -6. Suppose p*m = -2*m. Let a(w) = 2*w + 0*w + m*w. Let g(b) = -3*b**2. Give a(g(i)). -6*i**2 Let x(z) = 22*z**2 - 12*z + 12. Let v(t) = 9*t**2 - 5*t + 5. Let f(b) = -12*v(b) + 5*x(b). Let n(y) = -3*y**2 + 2*y**2 + 6*y**2. What is n(f(r))? 20*r**4 Let o = -1 - -81. Let z(g) = -g**2 + o*g - 80*g. Let t(p) = 2*p**2. Give t(z(y)). 2*y**4 Let k(a) = -3*a + 9. Let l(c) = -c**2. Calculate k(l(u)). 3*u**2 + 9 Let d(n) = -4*n. Let f(y) = -2*y + 5. Let c(l) = -l + 2. Let v(b) = -15*c(b) + 6*f(b). Calculate v(d(s)). -12*s Let c(d) = -d. Let k(z) = -25*z - 5. Let u(f) = -f - 2. Let y(a) = -k(a) + 2*u(a). Determine c(y(i)). -23*i - 1 Let p(b) = 4*b. Let i(y) = -17*y. Give i(p(r)). -68*r Let w(m) = -m**2. Let g(y) = 3*y + 6. Let l(s) be the third derivative of 17/6*s**3 + 0 - 3*s**2 + 3/8*s**4 + 0*s. Let a(u) = 17*g(u) - 6*l(u). What is w(a(t))? -9*t**2 Let b(q) = q + 1. Let o(d) = d**2 - 5*d. Let w(u) = -5*b(u) - o(u). Let c(i) be the first derivative of w(i). Let z(n) = -5*n**2. Give c(z(f)). 10*f**2 Let w(c) = 34*c. Let s(j) = -2*j + 27. What is w(s(m))? -68*m + 918 Let c(h) = 5*h. Let v(i) = -4*i - 5. Let g(x) = -3*x - 4. Let s(d) = -5*g(d) + 4*v(d). Determine s(c(q)). -5*q Let c(v) = 72*v**2. Let r(l) = 2*l**2. What is r(c(w))? 10368*w**4 Let n(d) = -2*d. Let h(g) = g**2 - 10*g**2 + g**2 + 4*g**2. Calculate h(n(a)). -16*a**2 Let b(f) = -8*f**2 - 2*f. Let p(g) = 19*g. Determine p(b(i)). -152*i**2 - 38*i Let g(i) = -11*i**2 + 5*i**2 + 5*i**2. Let m(k) = 4*k. Let c(p) = 6*p. Let o(l) = -5*c(l) + 7*m(l). What is g(o(n))? -4*n**2 Let j(v) = -6*v**2. Let b(m) = -6*m + 17. Let n(x) = x - 3. Let f(h) = -4*h + 2. Let q be f(-8). Let w(t) = q*n(t) + 6*b(t). Calculate w(j(y)). 12*y**2 Let p(b) = -b. Suppose 6*o - 6 = 12. Let t(q) be the first derivative of 2/3*q**3 + o + 0*q**2 + 0*q. Calculate t(p(w)). 2*w**2 Let w(k) be the first derivative of -k**2/2 - 6. Let c(m) = -55*m. What is c(w(f))? 55*f Let b(o) be the third derivative of -o**4/8 + o**2. Let l(y) = 11*y - 26*y + 17*y. Give b(l(n)). -6*n Let k(d) = d. Let p(f) = -951*f. Determine p(k(q)). -951*q Let q(a) = 2*a**2 + 0*a**2 + 4*a**2 - 4*a**2. Let c(r) = 5*r. Determine c(q(v)). 10*v**2 Let f(o) = -5*o + 7*o - o. Let n(g) = 3*g. What is f(n(x))? 3*x Let y(q) = -q**2 - 9*q + 11. Let a be y(-10). Let i(w) = -w + 1. Let u(h) = 2*h**2 - 2*h + 2. Let p(z) = a*u(z) - 2*i(z). Let r(d) = 4*d. What is p(r(s))? 32*s**2 Let p(m) = 2*m - 3. Let v(s) = -5*s + 7. Let r(q) = -14*p(q) - 6*v(q). Let g(n) = -7*n. Determine r(g(w)). -14*w Let z(g) = -3*g. Let u(d) = -142 + 3*d + 142 - 5*d. Determine z(u(t)). 6*t Let q(x) = -2*x. Let f(i) = 74*i**2 - 4. Give q(f(o)). -148*o**2 + 8 Let t(k) = -4*k. Let u(j) = 25*j**2 - 26*j**2 - 1 + 1. Give u(t(g)). -16*g**2 Let p(t) = -2056*t**2. Let s(g) = -g. What is s(p(j))? 2056*j**2 Let v(z) be the second derivative of -z**3/6 + 14*z. Let t(s) = s**2 + 26. Calculate t(v(c)). c**2 + 26 Let h(j) = 2*j**2. Let o(x) = -x**2 - 6*x + 151. Determine o(h(c)). -4*c**4 - 12*c**2 + 151 Let r(b) = -4*b**2. Let i be -4*(-3 + 2)/2. Let w(y) = -y**2 + 2*y**i + y**2. What is r(w(m))? -16*m**4 Let u(t) = 13*t**2. Let v(r) = 3*r. Give u(v(p)). 117*p**2 Let a(k) = -8560*k. Let w(n) = 2*n. Determine a(w(y)). -17120*y Let m(x) = 2*x. Let p(s) = s**2 - s. Let l(r) = -3*r**2 + 5*r. Let j(u) = l(u) + 5*p(u). Determine j(m(t)). 8*t**2 Let s = 14 - 12. Let i(u) = u**2 - u**2 - u**s - u**2. Let y(q) = -q - 1. Let z(b) = 3*b - 4. Let f(r) = 4*y(r) - z(r). Give i(f(x)). -98*x**2 Let s(a) = 7*a**2 + 68 - 68. Let l(w) = 2*w. Calculate s(l(h)). 28*h**2 Let k(b) = 0*b**2 + b**2 - 2*b**2 + 0*b**2. Let a(g) = 8*g. What is a(k(d))? -8*d**2 Let t(a) = -a**2. Let l(v) = 15*v - 2. Calculate t(l(h)). -225*h**2 + 60*h - 4 Let z(g) = -5*g + 10. Let i(x) = 24*x - 51. Let k(m) = 4*i(m) + 21*z(m). Let u(t) = 8*t - 5. Let v(b) = 5*k(b) + 6*u(b). Let o(h) = h**2. Determine o(v(r)). 9*r**2 Let d = -4 - -8. Let n(f) be the first
{ "pile_set_name": "DM Mathematics" }
-0. Let l = 34 + j. Calculate the lowest common multiple of 4 and l. 20 Find the common denominator of 3102/(-88) - (-3)/4 and 143/30. 30 Suppose -5*r + 4 = 3*l - 10*r, r = 1. Suppose 5*s = -u + 4*u + 57, s = 2*u + 10. What is the lowest common multiple of 10 and l/s - 165/(-12)? 70 Suppose p + 5*i - 29 = 0, -i + 0*i + 13 = 2*p. Calculate the least common multiple of p and 22. 44 Let q(u) = -4*u + 2. Let g be q(2). Let t = -1191 + 4663/4. What is the common denominator of t and -1 - 31/(-4)*g? 4 Let z(g) = -g**3 + 12*g**2 - 13*g - 2. Let x be z(11). Let o = -6 + x. Find the common denominator of o and 27/11. 11 Let w be -1 + 2 - (-3 + -11). Let k be 140124/w + (-2)/(-5). Let o = 168305/18 - k. Find the common denominator of o and -109/6. 18 Let j = -1821019/238266 + -1/17019. What is the common denominator of 5/84 and j? 84 Let o = 775/348 - 7/116. Calculate the common denominator of ((-14)/12)/(3/20) and o. 18 Let a = -63 - -113. Suppose 4*h - a = -h. Calculate the smallest common multiple of h and 5. 10 Let q(m) = m**3 + 4*m**2 - 8*m - 6. Let u be q(-6). Suppose 244 = 2*h - 2810. What is the common denominator of 11/8 and 4/10 + h/u? 8 Let g(k) = -k - 2. Let q = -1 + -2. What is the smallest common multiple of (-40)/(-6)*(-6)/(-4) and g(q)? 10 Let d = -6756 + 135161/20. Suppose 4*f = n - 0*f + 1, -4*n + 4*f = 4. What is the common denominator of d and (-178)/16 + (0 - n)? 40 Let x be (-3)/2 + 40857395/50. Let c = x + -45174982/55. Let m = c + 4212. Find the common denominator of m and 42/5. 55 Let y = 327/2 + -152. Calculate the common denominator of y and 51/46. 46 Calculate the common denominator of (-1)/24*31*(-66)/(-88) and 91/16. 32 Let i = 101345/41224 - 1/15459. Calculate the common denominator of i and 17/12. 24 Let a(o) = -o**3 - 4*o**2 - 4*o - 6. Let j be a(-5). Suppose j = 4*r - 5. Let f = 17 - r. What is the least common multiple of f and 18? 18 Let a be 22/(-4) + 6/12. Let h = -206/869 + -10/79. What is the common denominator of h and (-3)/a*570/48? 88 Suppose 3*o - 2*o = -4*u + 425, 3*o - 533 = -5*u. Calculate the lowest common multiple of 20 and u. 1060 Let x = -28067/66 + 2527/6. Calculate the common denominator of x and -20/13. 143 Suppose 36 = -4*z + 6*z. Calculate the common denominator of (107/4)/((-10)/(-4)) and 4/(-6) - (-393)/z. 30 Suppose 2*c + d = 9, 1 = 4*d + 5. Suppose c*o = 3*o + 66. Suppose -o = -4*b + 7. What is the least common multiple of 4 and b? 20 Suppose -2*d = -28 - 12. Calculate the least common multiple of 6 and d. 60 Suppose 3*r - 2 = r. What is the smallest common multiple of r and 11? 11 Let m(b) = -2*b - 15. Let a be m(5). Let p = 31 + a. Calculate the smallest common multiple of 14 and p. 42 Let x(a) = -7*a + 11. Let v be x(13). What is the common denominator of 395/v + 2/8 and -61/12? 48 Suppose -2*p + 3*k = -0*p + 29, p - 4*k + 22 = 0. What is the common denominator of 9/p*(-90)/4 and (-811)/(-36) - 2/(-9)? 4 Let b = 1 - 0. Let f be 18/(-8) - b/(-4). Find the common denominator of (f/(-16))/((-1)/66) and -83/4. 4 Let q(r) = 17*r**2 - r + 1. Let o be q(1). Suppose -o = -3*x - 2*d, -2*d + 14 = -2*x + 4*x. What is the smallest common multiple of 14 and 2 + -3 + 8 + x? 70 Let a = -26 + 30. What is the least common multiple of a/(3 + 8/(-4)) and 15? 60 What is the lowest common multiple of 2 and (-196)/(-11) + 42/231? 18 Let g(v) = -v**2 + 8*v - 6. What is the lowest common multiple of 104 and g(4)? 520 Suppose -4*x + 37 = -51. Calculate the least common multiple of x and 36. 396 Let d = -2/253 - -3305/2024. Find the common denominator of d and -63/2. 8 Suppose -w = -d - 3, -5*w - 4*d = 25 - 4. Calculate the common denominator of 87/4 and w/4 + 396/(-112). 28 Suppose -2*b = -2*q + 12, 28 = 2*q + 2*q - 3*b. Let g(d) = d**2 - d + 2. Calculate the lowest common multiple of q and g(0). 10 Let i = 27 + -47. Let z = 1 + 0. Calculate the smallest common multiple of z and (-4)/5*i/8. 2 Let g = 3 + -9. Calculate the least common multiple of 2 and (-12)/(-1*(-9)/g). 8 Let s = -4164335/102 + 40826. Find the common denominator of s and -37. 102 Let x = 4/1129 + -114093/18064. Let z = -52662 - -420737/8. Let q = -145/2 - z. What is the common denominator of x and q? 16 Let c be (-4)/20 - 2098/10. Let n be (4/(-3))/(4/c). Find the common denominator of -103/6 and 4 + -3 + n/(-18). 18 Let k(f) be the first derivative of -3*f**2/2 + 3*f + 2. What is the lowest common multiple of 16/(-6)*60/(-8) and k(-5)? 180 What is the least common multiple of 8 and (1/(-6)*-16)/((-1)/(-3))? 8 Let z = -16109/8 - -2021. What is the common denominator of z and ((-1)/(-2))/((-6)/(-244))? 24 Let h = 963 - 1821. Let m be (-13298)/h + (-2)/4. Let j = -764/39 + m. Calculate the common denominator of j and 67/6. 66 Let p = 638/51 - 54/17. Calculate the common denominator of p and 5/4. 12 Suppose 5 = i - 0*i - 3*k, -2*i - 4*k + 10 = 0. Let y(h) = -h + 7. What is the smallest common multiple of y(i) and 6? 6 Let v = -118 + 119. Calculate the smallest common multiple of 7 and v. 7 Suppose 0*q + 5*q - 40 = 0. Suppose -16*n + 170 = n. What is the lowest common multiple of q and n? 40 Let i be (-2)/120*938370/(-6408). Let y = i - 5/1602. Let b = -4390 + 26441/6. Find the common denominator of b and y. 48 Let d = 511821649/333 + -1537007. Let m = 80/37 + d. Find the common denominator of -76/3 and m. 9 Let t = 8 + -2. What is the smallest common multiple of t/18 + (-11)/(-3) and 22? 44 Let z = -9065 + 145089/16. Calculate the common denominator of z and 1/2. 16 Suppose d + 5*h - 17 = -0*d, 9 = 2*d + 5*h. Calculate the common denominator of 37/2 and ((-6)/d)/((-6)/5). 8 Let r = -3421 - -23897/7. What is the common denominator of 85/14 and r? 14 Suppose -2*b + 14 + 16 = 0. What is the smallest common multiple of b and 21? 105 Let h = 11 - 15. Let s = 5 + h. Suppose -q + 1 = -s. Calculate the least common multiple of q and 9. 18 Suppose 5*o + 344 + 457 = 3*a, -5*a = 2*o - 1304. Let h = -30 + 28. What is the common denominator of 39/4 and a/(-40) + (-4)/h? 20 Let x = 154408 - 904087/6. Let j = 3735 - x. What is the common denominator of j and 412/(-110)*(-15)/12? 66 Let o = 1/232 + 341/1624. Calculate the common denominator of (-2*(-10)/7)/((-414)/(-805)) and o. 126 Let f be (-3)/9 - (-73267)/(-12453). Let v = f - -3/1186. What is the common denominator of 97/18 and v? 126 Calculate the common denominator of 3 + (-2 - 26/24) and 2/7 + 1046/(-84). 12 Let k(l) = 6 - l + 0*l - 2 + 0*l. Calculate the smallest common multiple of k(-5) and 4. 36 What is the common denominator of (-4 - (-3)/(-21)) + 1 and -43/10? 70 Let z = -6/211 - -8253/844. Suppose -4*j = j + 47790. Let g = 95659/10 + j. What is the common denominator of z and g? 20 Let d = -16 - -20. Suppose -12 = -4*o, -2*u + 4*o + 4 = -4. Calculate the lowest common multiple of u and d. 20 Let x be (71/(-3))/(4/(-3)). Let u = x - 257/4. Let c = 828 + -5760/7. What is the common denominator of u and c? 14 Let h(u) = 19*u**2 + 1. Let n be (1/(-2))/((-1)/(-2)). Let r = 4 - 0. What is the least common multiple of r and h(n)? 20 Let l = 51 - 28. Let v = -41 + l. Calculate the common denominator of 76/(-6)*v/8 and -85/6. 6 Suppose 0*d - 4*d - 5*v - 8 = 0, 2*v + 20 = 4*d. Suppose -2*j - 12 = -6*j. What is the lowest common multiple of 2/(j - (-5)/(-2)) and d? 12 Let s be (-3 + 15/6)*-26. Let k = s - 2. Calculate the least common multiple of k and 1. 11 Let o(k) = k**3 - 6*k**2 + 2*k - 4. Let p(d) = d**2 - 5*d + 6. Let x be p(5). Calculate the smallest common multiple of o(x) and 14. 56 Suppose -n = -2*n + 4. Suppose -h - n*h + 20 = 0. What is the smallest common multiple of 68/16 - (-1)/(-4) and h? 4 Let w be (-2)/4 - (-225)/954. Let g = 1203/742 + w. What is the common denominator of -7/6 and g? 42 Let r = 29 + -15. Suppose -4*z = -0*z - 60. Let f = z + -13. What is the lowest common multiple of r and f? 14 Suppose 0 = 3*k + 9, 0*m - 2*k = 2*m + 4. Calculate the least common multiple of m and 7. 7 Let s be (-13)/(1 - 24/21). Calculate the common denominator of 58/3 and (7/s)/(1/(-17)). 39 Let z = -1998/727 + 2207147/14540. Let a = 849/5 - z. Calculate the common denominator of a and 63/10. 20 Suppose 0 = -14*w + 17*w - 54. What is the least common multiple of (-27)/((-2)/((-8)/(-6))) and w? 18 Find th
{ "pile_set_name": "DM Mathematics" }
ppose -11*n - 136 = -2*u, -2*n = -3*u - 1607 + 1637. Factor 0 + 0*h - 284/7*h**4 + 0*h**2 + 80/7*h**3 + u*h**5. 2*h**3*(h - 20)*(7*h - 2)/7 Let r be (12 + -3 + -8)*16. Let v be -20 + r + 6 + (-28)/18. Factor 0 - 2/9*h**2 - v*h. -2*h*(h + 2)/9 What is o in -191*o**2 - 65443 + 29*o**2 + 3*o**3 + 2016*o + 70147 = 0? -2, 28 Let k(u) = u**5 + 2*u**4 - u**2 - u + 2. Let b(s) = -23*s**5 + 114*s**4 - 41*s**3 + 2*s**2 - 2*s + 4. Let c(z) = -b(z) + 2*k(z). What is p in c(p) = 0? 0, 1/5, 4 Let h(k) be the third derivative of -k**8/42 - 2*k**7/105 + 22*k**6/15 - 26*k**5/15 - 19*k**4 - 30*k**3 - 5*k**2 - 56*k. What is y in h(y) = 0? -5, -1, -1/2, 3 Let b(y) be the third derivative of y**5/60 + y**4/4 - 9*y**3/2 + 321*y**2. Factor b(g). (g - 3)*(g + 9) Let t(m) = -m**3 - 24*m**2 - 12*m + 71. Let r(i) = i**2 - 2*i. Let c(w) = -6*r(w) + t(w). Let p(z) be the first derivative of c(z). Solve p(d) = 0. -20, 0 Determine l so that 0*l - 14*l**4 + 56*l**2 + 2/3*l**5 + 0 - 8/3*l**3 = 0. -2, 0, 2, 21 Let y(q) = 49*q + 247. Let o be y(-5). Let a(c) be the third derivative of 1/32*c**4 - 1/160*c**6 + 3/80*c**5 + 0*c - 3/8*c**3 + 19*c**o + 0. Factor a(l). -3*(l - 3)*(l - 1)*(l + 1)/4 Let w(q) be the first derivative of q**4/20 + 143*q**3/3 - 358*q**2/5 - 5800. Factor w(y). y*(y - 1)*(y + 716)/5 Let k(f) be the second derivative of -f**7/14 - 9*f**6 - 198*f**5/5 - 131*f**4/2 - 87*f**3/2 + 287*f + 2. Factor k(g). -3*g*(g + 1)**3*(g + 87) Factor 5768/17*b - 8/17 - 1039682/17*b**2. -2*(721*b - 2)**2/17 Let y(c) be the first derivative of c**6/288 - 5*c**4/24 - 2*c**3/3 - 35*c + 68. Let w(t) be the third derivative of y(t). Let w(u) = 0. Calculate u. -2, 2 Let n be (6308/17347)/(12/22). Suppose -n*c**3 - 30*c - 100/3 - 8*c**2 = 0. Calculate c. -5, -2 Let t(j) = -3*j**4 + 9*j**3 + 4*j**2 - 2. Let d(o) = -2*o**4 - 2*o**2 - 1. Let i(m) = 2*d(m) - t(m). Factor i(y). -y**2*(y + 1)*(y + 8) Let o(q) = 9*q - 220. Let r be o(25). Determine t, given that 12*t + 50 + 33 - 16*t**3 + 4*t**r - 91 + 8*t**2 = 0. -2, -1, 1 Let w = -375/34 - -995/306. Let q = 455/18 + w. Let -m - 11/2*m**5 + 17/2*m**2 + 0 + q*m**4 - 39/2*m**3 = 0. Calculate m. 0, 2/11, 1 Let m(x) be the third derivative of x**7/10080 - 7*x**6/1440 + 49*x**5/480 - 31*x**4/12 - 16*x**2. Let n(d) be the second derivative of m(d). Factor n(o). (o - 7)**2/4 Let s(y) be the third derivative of y**5/630 - 353*y**4/252 - 710*y**3/63 + 3332*y**2. Factor s(h). 2*(h - 355)*(h + 2)/21 Let w(u) = -3*u**3 - 828*u**2 + 12*u - 18. Let j(b) = 6*b**3 + 828*b**2 - 14*b + 21. Let d(m) = 6*j(m) + 7*w(m). Suppose d(k) = 0. What is k? 0, 276/5 Let i = -298 - -316. Let t be 6/i - (-5 + 5)/(-6). Suppose 1/3*u**3 + 0 - 2/3*u + t*u**2 = 0. What is u? -2, 0, 1 Let o(u) be the first derivative of 9*u**5 + 3505*u**4/2 + 121160*u**3 + 3123120*u**2 - 1406080*u - 97. Suppose o(v) = 0. Calculate v. -52, 2/9 Let h(d) = d**2 - 2*d + 3. Suppose -t - 5*o = -2*t + 27, -2*t - 2*o - 6 = 0. Let b be h(t). Let -13*s - s**b + 4*s**3 + s**2 + 11*s**2 + 22*s = 0. What is s? -3, -1, 0 Let w(n) be the third derivative of 0*n**4 - 2*n**2 - 1/280*n**6 + 0*n**3 + 0 + 1/28*n**5 + 11*n. Factor w(v). -3*v**2*(v - 5)/7 Let r(l) be the second derivative of l**4/9 - 26*l**3/9 + 24*l**2 - l - 360. Factor r(n). 4*(n - 9)*(n - 4)/3 Suppose -46*l + 47*l = 12. Suppose 10*d + 3*d**3 + 19661 + l*d**2 + 5*d - 19655 = 0. Calculate d. -2, -1 What is l in 3/5*l**3 + 2304/5 + 96*l - 87/5*l**2 = 0? -3, 16 Factor 282 + 97/2*a + 1/4*a**2. (a + 6)*(a + 188)/4 Let d(k) = -k**3 + 8*k**2 - k - 2. Let f be d(8). Let t(y) = y**3 + 11*y**2 - 7*y - 170. Let j be t(f). Factor j + 2/17*a**4 + 0*a**2 + 6/17*a**3 - 8/17*a. 2*a*(a - 1)*(a + 2)**2/17 Let y be (2/(-3))/(((-1)/2)/(1437/958)). Let f = -713 + 3577/5. What is p in -36/5*p + 3*p**y + f = 0? 2/5, 2 Suppose 5*p - 42 = -12, 0 = 5*q + 5*p - 30. Find y such that q - 18/5*y**2 + 21/5*y**4 + 8/5*y - y**3 = 0. -1, 0, 4/7, 2/3 Factor 4/11*g**2 + 1/11*g**3 - 29/11*g + 24/11. (g - 3)*(g - 1)*(g + 8)/11 Let c = 1349503/94 + -14355. Let g = 4/47 + c. Suppose 0*j + 0 - 3*j**2 + g*j**4 - 3/2*j**3 = 0. Calculate j. -1, 0, 2 Suppose 5*o + 0*c = -2*c - 204, 0 = 3*o + 2*c + 124. Let f = 40 + o. What is b in -3 - 1353*b**2 + 1356*b**2 + f = 0? -1, 1 Let a be ((-185)/1332)/((-1)/((-80)/(-75))). Let q(w) be the first derivative of -a*w**3 + 32 + 1/18*w**4 - 8/9*w - 7/9*w**2. Factor q(x). 2*(x - 4)*(x + 1)**2/9 Suppose -42/5*z + 122/5*z**3 - 6/5*z**4 - 30*z**2 + 76/5 = 0. What is z? -2/3, 1, 19 Let z(a) = a**3 - a**2 + 1. Let n(o) = -18*o**3 + 30*o**2 - 16*o - 5. Suppose 75 - 15 = -15*t. Let l(p) = t*n(p) - 36*z(p). Factor l(w). 4*(w - 1)*(3*w - 2)**2 Let o be 0 - -5 - (-26444)/(-9616). Factor -6*z + 9/4*z**2 - o. 3*(z - 3)*(3*z + 1)/4 Suppose 22*y + 105 = 57*y. Suppose -6*u**2 - 89*u**3 + 2*u**4 + 95*u**y - 4*u**2 + 2*u**2 = 0. Calculate u. -4, 0, 1 Suppose -255417*g - 246 = -255540*g. Factor 0*i - 2/9*i**g + 0*i**3 + 0 + 2/9*i**4. 2*i**2*(i - 1)*(i + 1)/9 Suppose 26 = 4*b - 6*a, 2*b + 5*a = 3*a - 2. Determine w, given that -2/7*w**b - 68/7*w - 578/7 = 0. -17 Solve -1/6*g**5 - 23/3*g**2 + 15/2 + 11/3*g**3 - 7/2*g + 1/6*g**4 = 0 for g. -5, -1, 1, 3 Let g be ((-81)/108)/((-2)/(-72)). Let a be (g/81)/((-2)/12*1). Suppose 1/8*r**3 - r**2 + a*r + 0 = 0. What is r? 0, 4 Let x(b) = -13*b**2 - 2311*b + 670487. Let u(y) = -18*y**2 - 3467*y + 1005730. Let w(i) = -5*u(i) + 7*x(i). Suppose w(d) = 0. Calculate d. 579 Let w(l) be the second derivative of 1/20*l**5 + 7 + 5/6*l**3 + l**2 + 4*l + 1/3*l**4. What is d in w(d) = 0? -2, -1 Suppose -a - 5*s + 56 + 3 = 0, 0 = -5*a + 2*s + 322. Let -a*y + 9*y**2 - 3*y**2 - 10*y**2 = 0. Calculate y. -16, 0 Let i(h) be the second derivative of h**4/3 + 2*h**3/3 - 24*h**2 - 10*h + 5. Suppose i(t) = 0. What is t? -4, 3 Let -175 - 155 - 165 + 65*v**3 + 700*v + 5*v**4 + 135 - 410*v**2 = 0. Calculate v. -18, 1, 2 Let t(f) be the first derivative of f**5/35 + 20*f**4/7 + 800*f**3/7 + 16000*f**2/7 + 195*f - 222. Let n(k) be the first derivative of t(k). Factor n(r). 4*(r + 20)**3/7 Let g = 12274 + -12272. Let v(b) be the second derivative of -1/114*b**4 - 100/19*b**g + 20/57*b**3 + 0 - 11*b. Solve v(w) = 0 for w. 10 Let h(f) be the first derivative of 3/8*f**4 + 15/4*f**2 + 0*f - 222 - 23/3*f**3. Factor h(k). k*(k - 15)*(3*k - 1)/2 Let g = -7798013/5572 - -348/1393. Let v = 1400 + g. Factor -v*h + 0 + 1/4*h**2. h*(h - 3)/4 Let b(d) be the second derivative of -d**5/70 + 2*d**4/7 + 31*d**3/21 - 6*d**2 - 307*d + 12. Factor b(j). -2*(j - 14)*(j - 1)*(j + 3)/7 Solve -1/2*p + 31/2 + 1/2*p**3 - 31/2*p**2 = 0 for p. -1, 1, 31 Factor 61009/3 + 1/3*r**2 - 494/3*r. (r - 247)**2/3 Let p be (-2 + (-268)/(-110))*40/16. Let r be 120/22 - (7 - (-6)/(-2)). Factor -2/11*h**4 + 0 + p*h**3 + r*h - 24/11*h**2. -2*h*(h - 2)**3/11 Factor 44 - 11825*v**2 - 42*v + 11827*v**2 - 188. 2*(v - 24)*(v + 3) Let m = 19911/235 - 3343/47. Solve 2/5*f**2 - m*f + 578/5 = 0. 17 Let h be (-10)/(-8)*(-10400)/(-2000). Solve -1/2*t**2 + 15 + h*t = 0 for t. -2, 15 Let q(i) = 6*i**3 + 66*i**2 - 39*i - 135. Let c(j) = -3*j**3 - 31*j**2 + 18*j + 68. Let v(m) = 9*c(m) + 4*q(m). Suppose v(p) = 0. Calculate p. -4, -3, 2 Let -30*c**3 + 10*c**2 + 14*c**4 + 0*c**3 + 13*c**2 - 5*c**2 - 2*c**5 + 0*c**4 = 0. What is c? 0, 1, 3 Let k(i) be the second derivative of i**4/96 - 13*i**3/8 + 19*i**2/2 - 1373*i. Factor k(g). (g - 76)*(g - 2)/8 Suppose -10*a + 6*a + 280 = 0. Let u be 8/(-130)*(-175)/a. Factor -8/13 + u*i**2 + 0*i. 2*(i - 2)*(i + 2)/13 Let c = 18821/3 + -6769. Let o = -495 - c. Factor -1/3*l**4 - 8/3*l + o*l**2 + 5/3*l**3 + 4/3 - 1/3*l**5. -(l - 1)**3*(l + 2)**2/3 Let t(m) be the second derivative of 65*m + 1/3*m**4 - 24*m**2 + 0 - 2/3*m**3. Determine k, given that t(k) = 0. -3, 4 Let u be (-34)/(-323)*114 - 12. What is k in -1/3*k**4 - 2/3*k + u*k**2 + 2/3*k**3 + 1/3 = 0? -1, 1 Let h(z) = -2*z + 10. Let q be (7/(-14))/((-1)/8). Let r be h(q). What is l in -3 + r + 30*l**2 + l**3 - l - 29*l**2 = 0? -1, 1 Let o be ((-108)/(-10) - 5/(-25)) + (-30940)/3332. Suppose 9/7*a**3 + 0 + o*a**4 - 12/7*a**2 - 9/7*a = 0. Calculate a. -1, -3/4, 0, 1 Factor 0 + 106/17*t**2 - 2/17*t**3 - 104/17*t. -2*t*(t - 52)*(t - 1)/17 Let l(r) = 5*r**3 - 80*r**2 + 75*r - 5. Let g(v) = -3 - 3 + 532*v**3 + 76*v + 2 - 79*v**2
{ "pile_set_name": "DM Mathematics" }
t. 1 Let o = -20 - -21. Suppose 0 = 2*v + o - 5. Solve -2 = -3*g + v*g for g. 2 Let u = -4 - -8. Solve 5*i = -1 - u for i. -1 Let k = 39 - 19. Solve 0 = -6*x + x - k for x. -4 Let g = 3 - 1. Suppose -2*l + 4 = g. Let t be (-3)/l + (0 - -3). Solve t = -4*n - 0*n for n. 0 Suppose 0 = 5*k - 25, 5*k - 20 = 4*d + k. Let b = -4 + 12. Solve d = 5*f + b - 3 for f. -1 Let v(n) = 2*n + 10. Let r be v(-5). Solve r*k - 2*k = 0 for k. 0 Suppose -j + 12 = -k, 0 = -2*j - k - 2*k + 24. Solve -17*r = -j*r for r. 0 Let i be (-22)/6*1*-3. Let c = -2 + i. Suppose -x + c = -6. Solve z + x = -4*z for z. -3 Let n(d) = -d**3 - 2*d**2 + 2*d - 1. Let j be n(-3). Suppose 21 = j*s - 4*u - 25, 115 = 5*s + 3*u. Solve -s + 8 = -5*k for k. 3 Let w(f) = 2*f**3 - f**2 + f. Let c be w(2). Let z be (-4)/c - 6/(-21). Solve u = -2 - z for u. -2 Let z(h) = 4*h**2 + h - 2. Let j = 4 + -6. Let i be z(j). Solve 0*a + 3*a - i = 0 for a. 4 Let q be ((-3)/6 + 1)*4. Suppose 0 = -0*f + q*f - 24. Solve -2*k + f = k for k. 4 Let n(i) = 18*i**2 + i**3 - 18*i**2 - i + 2. Let c be n(0). Let v(r) = r**2 - 5*r + 6. Let s be v(4). Solve -x - s - c = 0 for x. -4 Let m be 12/8*(-14)/(-3). Let s(q) = q**2 - 9*q + 16. Let t be s(7). Let u be (-2 + t)/(1/(-1)). Solve -3*r + m + 5 = u for r. 4 Let n be (-1 + 5 + -7)*(-8)/6. Solve 0 = -5*b - 1 - n for b. -1 Let t be -3 + 3/((-3)/(-8)). Suppose -t*h + 5 = -10. Suppose 2*a - 5 + h = 0. Solve -3*x = 2 + a for x. -1 Suppose r - 4*g - 7 = 0, -4*g + 7 = 3*r + 2. Solve -r*y = -10 - 2 for y. 4 Let v be 6/(-9) - 68/(-3). Suppose -7 = 5*o - v. Solve q + o = 1 for q. -2 Suppose -56 = -3*s - 5. Let o(t) = t - 2 + s - 2. Let d be o(-8). Solve -d*y - 2 = 8 for y. -2 Suppose 0 = 5*h - 10, w + 0*w = 4*h - 5. Solve 12 = 6*k - w*k for k. 4 Suppose -2*b = -2*y + 4, 3*b - 5*y + 4*y + 2 = 0. Solve 0 = -b*z + 2*z - 8 for z. 4 Suppose -a - a = 2*v, 2*a + 9 = -5*v. Suppose 0 = 5*h - a - 2. Solve 3*g = 2 + h for g. 1 Suppose -3 = -10*z + 9*z. Solve -5 = z*j + 7 for j. -4 Suppose 4*b = -5*p - 10, 2*b - 4 = -3*b + 2*p. Solve 5*i + b*i = 5 for i. 1 Suppose 0*y = -y + 4. Suppose y*q = 3 + 5. Solve -4*w - q = -6 for w. 1 Let o(z) be the third derivative of z**6/120 + z**5/30 - z**4/12 + z**3/6 + z**2. Let c be o(-3). Let i be 9*-2*c/12. Solve i*v + 8 = -v for v. -2 Suppose 0 = -i - 3*d - 14, -3*i = -d - 0*d + 2. Let f = i - -2. Suppose -2*a + f*q + 6 = -q, -4*q = 4*a. Solve 2*w - 6 = -a for w. 2 Let w = -2 - -2. Suppose 0 = -l - w + 6. Solve 5*g = l - 21 for g. -3 Let c(a) = -a - 7. Let t = 20 + -30. Let q be c(t). Suppose -j - 4*s - 3 = 0, 2*j - s - 8 = -2*s. Solve -q*r = -4 - j for r. 3 Let v be ((-2)/3)/((-16)/24). Solve -i + v = -0*i for i. 1 Let j be (-150)/4*2/(-3). Solve 6*c - c - j = 0 for c. 5 Suppose 5*t = j - 33, -4*t - 4 = 2*j + 14. Let g(r) be the second derivative of -2*r**3/3 - 9*r**2/2 - r. Let i be g(t). Solve -i = 6*a - 3*a for a. -5 Let y(p) = -p**3 + 3*p**2 + 3*p + 5. Let m be y(4). Suppose 5*o + 28 = l, -2*o + m - 2 = 3*l. Let v be (14/4)/(1/2). Solve 2*d - l = v for d. 5 Let r(q) = q**3 - q. Let w be r(-1). Suppose w = -3*v + t - 2 + 7, -4*t - 5 = 3*v. Let j be v/3 - (-5)/3. Solve -j*l = 3*l for l. 0 Suppose -2*u - 1 = 2*h - 3, h - 1 = 0. Solve u*n + 6 = -2*n for n. -3 Let c be 1*16 + (-11 - -8). Suppose 9*j - c*j = -32. Solve j = f + f for f. 4 Let a(x) = -x + 7. Let s be a(6). Let j = s - -2. Suppose c = 2*c - j. Solve -c*o + 5 = 2*o for o. 1 Suppose 4*y + 2 = -18. Let t = -3 - y. Solve 3*d = d + t for d. 1 Suppose 0 = 5*i + 3*z - 51, -5*i + 5*z = -18 - 57. Let y(k) = -k**3 - 5*k**2 + 7*k + 7. Let n be y(-6). Suppose s - 2 - n = 0. Solve 3*d = -s - i for d. -5 Let k(s) = 2*s + 14. Let j be k(-5). Suppose 72 = 4*n - n. Suppose -9 + n = 3*a. Solve -3 - a = j*b for b. -2 Let s(d) = -2*d. Let o be s(2). Let l = o + 4. Let m = l - -5. Solve 3*w - m*w - 4 = 0 for w. -2 Let z(p) = p**2 - 3*p - 4. Let w be z(4). Let l = w + 14. Solve 0 = 5*t + l + 6 for t. -4 Let s = -23 + 38. Suppose -l - s = -6*l. Solve -l = -2*n + n for n. 3 Let w be (-150)/22 + 10/(-55). Let x = w + 7. Solve 3 + x = 3*u for u. 1 Suppose -3*m + 3*s + 6 = 0, 3*m - 2*s = 6 - 0. Let a(h) = 4*h**2 - 3*h. Let g be a(m). Let y = 20 - g. Solve 0*d = -5*d - y for d. -2 Let t(l) = -l**2 + l + 1. Let s(g) = 6*g**2 - 9*g - 5. Let u(d) = s(d) + 4*t(d). Let a be u(3). Solve -a*v + 2 - 8 = 0 for v. -3 Suppose 5*t + 5*p = 3*t + 6, 0 = 2*p. Solve t*l = 2*l + 4 for l. 4 Suppose 2*v - 14*v = -60. Let h(c) = -4 + 3 + 2*c - c. Let z be h(v). Solve z*y = -1 - 11 for y. -3 Let h(k) = -k + 33. Let s be h(9). Solve 0 = 4*w + 4 - s for w. 5 Suppose -w + 15 = 2*w. Solve 8 - 3 = w*h for h. 1 Let y = -9 + 12. Solve 0 = -y*f + 13 - 1 for f. 4 Let b(l) = l**2 + 6*l - 4. Let c be b(-7). Let y(v) = v - 6 - c - 9*v + v**3 + 5*v**2. Let p be y(-6). Solve -p*x + 3 = -0 for x. 1 Let x(b) = -b**2 + 5*b - 1. Let g be x(4). Suppose 3*l = -g*s + 9 + 6, -2*s + 30 = 4*l. Solve -6*h + h = l for h. -2 Let f be 106/(-13) + (-4)/(-26). Let i be 222/24 + (-6)/f. Solve i = -3*g - 2*g for g. -2 Let t(w) = -w**3 - 2*w**2 - 2*w + 2. Let q be t(-2). Suppose 4*b = 5*b - q. Solve 4 = -b*n + 2*n for n. -1 Let c(l) = l**3 - 10*l**2 - 11*l + 6. Let i be c(11). Let g be 27 + 3/(i/(-4)). Solve 5*d = -0*d + g for d. 5 Suppose -2*i - 2 = -6. Suppose -3*o - 3*x = 2*o - 11, 5*o - 9 = -i*x. Solve 0 = 5*c + o + 14 for c. -3 Let m(q) = -7*q**3 - 2*q**2 + 5*q - 12. Let h(g) = -20*g**3 - 7*g**2 + 14*g - 35. Let v(j) = 6*h(j) - 17*m(j). Let d be v(-8). Solve 0 = -0*k - d*k + 6 for k. 3 Let q be (6/7)/((-33)/(-154)). Solve -q*x + 12 = -4 for x. 4 Let z = 72 + -67. Solve -z*m - 4 - 16 = 0 for m. -4 Let q = -12 + 6. Let i be (-33)/q + (-3)/2. Solve i*a - 2*a + 6 = 0 for a. -3 Let c be 2*(-2)/(-2) + 0. Suppose 3 = c*h - 3. Solve 5 = 8*x - h*x for x. 1 Let v(w) = -w**2 - 10*w + 8. Let d(a) = a**2 + 11*a - 8. Let c(k) = 4*d(k) + 5*v(k). Suppose 3*j = -j - 28. Let n be c(j). Solve -n = h + 1 for h. -2 Let u(d) = -d - 3*d**3 + 3*d**2 - 4 + 3*d**3 - d**3. Let b be u(3). Let j(p) = -2*p - 10. Let c be j(b). Solve -1 = 3*o - c for o. 1 Suppose -n + 2*z = -10, 0*z + z = -3*n + 2. Let a be ((-114)/(-24) - 4)*4. Solve -n*f - f + a = 0 for f. 1 Let h be (1/2)/(2/4). Solve -2*j = -3*j + h for j. 1 Suppose -13 = -3*t - 5*v, -35 = -9*t + 4*t + 5*v. Suppose -3*s + 9 = -4*k, -k + t*s - s = 15. Solve k = 2*a - 1 - 1 for a. 1 Suppose 4*s = -k - 5, 3*k - s = -5*s + 9. Solve 5*n - k = 8 for n. 3 Let y(q) = -8*q + 1. Let s be y(1). Let l = s - -14. Solve 4*n - 3 = l*n for n. -1 Let i(j) = -j**3 + 4*j**2 + 5*j + 5. Let g be i(5). Let m be 12/2 - (-1 + 1). Suppose -25 = 5*b, -z - m = -5*z - 2*b. Solve g*t = z + 1 for t. 1 Let d be (-1 - (-3)/(-6))*(-12)/9. Solve -d*y + 15 = y for y. 5 Let v(l) = -l**3 + l**2 - l. Let x be v(0). Solve 0*a - 2*a = x for a. 0 Suppose -b - 2 + 4 = -f, 14 = b + 2*f. Let z be 2/b - (-33)/9. Solve z*m - 1 = -21 for m. -5 Suppose 0*v = -2*v + 14. Suppose -5*o = -2*i - 22, 3*o = v*o - 2*i - 18. Solve 0 = 2*j + o for j. -2 Let n = 6 + -8. Let y be (3 - (n + 0)) + -3. Let l be 40/y*5/4. Solve 0*f = -5*f - l for f. -5 Suppose 7*k = 3*k. Solve -u - 4 = -k for u. -4 Let r(c) = -c**3 + 6*c**2 - 7*c + 12. Let i = -19 - -24. Let o be r(i). Solve 4 = -o*f - 2*f for f. -1 Suppose 14 = 4*y - 3*d - 5, 0 = -3*y - 5*d + 7. Solve -2*z = -z - y for z. 4 Suppose -5 = a - 9. Solve a*p = 10 + 2 for p. 3 Suppose 21 = 5*m + 1. Suppose -3*t = -2*t. Solve t*a + m = a for a. 4 Suppose 0 = -3*n, -4*q - n = q - 60. Solve -q*d = -7*d + 25 for d. -5 Let v = -18 + 19. Solve 2*s - 1 = v for s. 1 Suppose 5 = w - 5*q, q = w - 2*w - 1. Solve 3*x - 3 = -w for x. 1 Let j be -3*1 - (2 + -5). Let k be j + (-3 + 13 - 1). Solve 0 = 2*p - 5*p + k for p. 3 Let a(u) = -13*u - 5. Let w(l) = -56 - 28*l - 22*l - 94*l. Let t(i) = 56*a(i) - 5*w(i). Let f be t(-2). Solve 3*o + f = -o for o. -4 Suppose 4*g + 5*m + 20 = 0, -4*m + 2*m = 0. Let l be (-12)/15*g/2. Solve 3*z = l*z + 5 for z. 5 Let x be (2/5)/((-3)/(-60)). Solve y - x = -y for y. 4 Let m(u) = u**3 - 7*u**2 + 8*u - 4. Let y be m(6). Suppose -4*d = y, -2*d = -w - d + 6. Suppose -2*f + 24 - w = 0. Solve -g - 4*g + f = 0 for g. 2 Suppose 66 = f - 12*f. Let x(n) be the first derivative of n**3/3 + 3*n**2 - 1. Let o be x(f). Solve -2*m - 4 + 0 = o for m. -
{ "pile_set_name": "DM Mathematics" }
d(b) wrt b. 3 Let p = -27 - -41. Find the second derivative of -10*a**5 + p*a - 19*a + 6*a + 10*a wrt a. -200*a**3 Let d(r) be the second derivative of -129*r**3/2 + 82*r**2 - 564*r. Differentiate d(b) with respect to b. -387 Let c(v) = -23*v**4 - 24*v**2 + 4. Let d(p) = -91*p**4 - 95*p**2 + 17. Let i(k) = -9*c(k) + 2*d(k). Find the third derivative of i(u) wrt u. 600*u Let v(h) be the third derivative of 277*h**8/336 - 13*h**5/4 + 72*h**2. What is the third derivative of v(n) wrt n? 16620*n**2 Suppose -2*l - 10 + 18 = 0. Find the second derivative of -3*c**4 - 6*c**l - c - 11*c - 3*c wrt c. -108*c**2 Suppose 6 = 2*r - 0, 0 = -2*k + 5*r - 5. Find the second derivative of 3*a**2 + 9*a**3 - k*a - a**2 - 2*a**2 wrt a. 54*a Suppose 6*z + 15 = z + 4*j, -4*j = -2*z - 18. What is the first derivative of -9 - z + 44*t**4 - 60*t**4 wrt t? -64*t**3 Let o(v) be the second derivative of 5*v**6/72 - v**5/10 - v**3/6 - v. Let u(h) be the second derivative of o(h). Find the second derivative of u(l) wrt l. 50 Let w(t) = -236*t**4 + 2*t**3 - 2*t + 109. Let a(d) = -235*d**4 + 3*d**3 - 2*d + 106. Let f(i) = 2*a(i) - 3*w(i). What is the second derivative of f(x) wrt x? 2856*x**2 Let b(c) = 658*c**2 + 744*c + 10. Let i(l) = -219*l**2 - 248*l - 3. Let z(r) = -3*b(r) - 10*i(r). What is the second derivative of z(o) wrt o? 432 Let c(b) = 7*b**3 - 3*b**2 + 2*b + 78. Let p(y) = -14*y**3 + 5*y**2 - 3*y - 155. Let r(z) = -5*c(z) - 3*p(z). What is the first derivative of r(q) wrt q? 21*q**2 - 1 Suppose 5 = 4*s - 23. Let n = s + -1. Find the third derivative of -5*o**2 + o**5 - n*o**4 + 6*o**4 wrt o. 60*o**2 Let j(i) = i**2 + i + 1. Let p(v) = 7*v - 1 - v**2 + 134*v**3 + 0*v + 11*v**4 - 134*v**3. Let n(t) = -j(t) - p(t). Find the second derivative of n(o) wrt o. -132*o**2 What is the third derivative of 76*u**3 - 155*u**3 - 6*u**2 + 78*u**3 + 9 - 11 wrt u? -6 Let m(c) = 2*c**2 - 24*c + 5. Let w be m(12). What is the second derivative of 26*j**5 - 7*j**5 - 25*j - 50*j**w wrt j? -620*j**3 Let p(m) be the second derivative of 0*m**2 + 5/3*m**3 + 0 - 7*m + 7/4*m**4. Find the second derivative of p(i) wrt i. 42 Let b(i) be the third derivative of -i**6/40 - 19*i**5/60 + i**4/24 + 43*i**3/6 - 4*i**2 - 8. What is the second derivative of b(f) wrt f? -18*f - 38 Let v(i) be the second derivative of -36*i + 0 + 14*i**2 + 0*i**4 - 3/10*i**5 + 0*i**3. What is the derivative of v(n) wrt n? -18*n**2 Let a be 1*-4 + 35/5. What is the third derivative of -96*m**2 - 3*m**a + 0*m**3 + 136*m**2 + 4*m**6 - 2*m**6 wrt m? 240*m**3 - 18 Let n(b) = -1749*b**3 + 3575*b - 15. Let v(s) = 250*s**3 - 511*s + 2. Let o(c) = -2*n(c) - 15*v(c). What is the second derivative of o(f) wrt f? -1512*f Find the second derivative of 244*c**5 + 67*c + 1211*c**4 - 4 - 1211*c**4 wrt c. 4880*c**3 Differentiate -161 + 47 - 94*l - 18*l + 19 - 89 with respect to l. -112 Suppose 5*w + 5*n = 4*n + 77, -5*w + 4*n + 92 = 0. Differentiate x - 2*x**3 - w - 5*x**3 - x with respect to x. -21*x**2 Suppose 3*j = -j + 60. Let f = j + -10. What is the second derivative of 7*s**f + 5*s + 5*s - s wrt s? 140*s**3 Differentiate -35*c + 81*c**4 - 17 + 35*c with respect to c. 324*c**3 Let z(s) be the third derivative of 0*s**4 + 1/21*s**7 + 0*s + 0*s**5 + 0*s**6 + 3/2*s**3 - 8*s**2 + 0. Differentiate z(n) wrt n. 40*n**3 Suppose -6*m = -35 - 103. Differentiate -m + 10*y**4 + 11 + 3*y**4 wrt y. 52*y**3 Suppose 0 = -3*n - 11 - 1. Let k be (n/(-6))/(2/33). What is the first derivative of a - k + 4 + 11 + 0*a wrt a? 1 Let l(b) be the second derivative of -b**4/3 - 223*b**3/3 - 258*b. What is the second derivative of l(y) wrt y? -8 Differentiate -12587*n**3 + 12586*n**3 + 2*n - 97 + 73*n with respect to n. -3*n**2 + 75 Let t(c) be the first derivative of -14*c**2 + 0*c**3 - 16/5*c**5 + 0*c**4 + 0*c - 1. Find the second derivative of t(y) wrt y. -192*y**2 Let i(o) be the first derivative of -87*o**5/5 - o**2 - 25*o + 51. Find the second derivative of i(r) wrt r. -1044*r**2 Suppose 11*l - 162 + 129 = 0. Let b(x) be the third derivative of 2*x**2 + 1/3*x**l + 1/210*x**7 + 0*x**5 + 0*x**6 + 0 + 0*x**4 + 0*x. Differentiate b(u) wrt u. 4*u**3 Let h be (5/(-2) + 2)*-6. Suppose 3*m + h*m - 18 = 0. Find the third derivative of -4*p**4 + 3*p**2 - 87*p**m + 87*p**3 wrt p. -96*p Let p(j) be the first derivative of 11*j**7/105 + j**5/6 - 5*j**2 + 6. Let k(c) be the second derivative of p(c). What is the third derivative of k(n) wrt n? 528*n Let v(i) be the first derivative of -13*i**3/3 - 2*i**2 + 467*i - 558. What is the first derivative of v(g) wrt g? -26*g - 4 Suppose 2*f + 32 = 36. Suppose 10 = 3*d - f. Find the second derivative of 9*m + 0*m**4 + 0*m**4 - 5*m**4 - m**d wrt m. -72*m**2 Let x(k) be the third derivative of -257*k**9/504 + 73*k**5/4 + 29*k**2 - 2. Find the third derivative of x(l) wrt l. -30840*l**3 Let i = 64 - 63. Let d(a) = 5*a**4 - 5*a**3 + 8*a. Let b(g) = g**3 - g. Let f(m) = i*d(m) + 5*b(m). Find the second derivative of f(v) wrt v. 60*v**2 What is the second derivative of -2*x**4 + 3*x**4 - 62*x + 236*x**2 + 420*x wrt x? 12*x**2 + 472 Suppose 0 = -3*h + h + 4. Differentiate 9 + 41*z**2 + z**4 - 41*z**h with respect to z. 4*z**3 Let y = -50 + 53. Find the first derivative of -9*b**3 + 128 - 116 - y*b**3 wrt b. -36*b**2 Let s be 1/2*(-216)/(-6). Find the second derivative of -8*a - 5*a**3 + 11*a + s*a wrt a. -30*a Let b be 1*(1 + 0) + -76 + 117. What is the second derivative of b*j + 87*j**5 - 78*j**5 + 2*j wrt j? 180*j**3 Let c = 226 - 226. Let s(w) be the second derivative of -3*w + 0 + 2/3*w**3 + 0*w**2 + c*w**4 + 3/10*w**5. What is the second derivative of s(u) wrt u? 36*u Let u(p) be the second derivative of -p**7/168 - p**6/180 + 3*p**3/2 + 14*p. Let d(f) be the second derivative of u(f). Find the third derivative of d(s) wrt s. -30 Find the third derivative of -6 - 14*i**2 - 5*i**3 + 2*i**2 + 14*i**5 - 6*i**5 - 15*i**5 wrt i. -420*i**2 - 30 What is the first derivative of -253 - 1887*r + 24*r**3 - 198*r**3 + 1887*r wrt r? -522*r**2 Let v(u) be the second derivative of -53*u**3/3 - 187*u**2/2 + 129*u. What is the derivative of v(i) wrt i? -106 What is the first derivative of 5*l + 6*l**2 - 2*l + 86 + 71 - 27 wrt l? 12*l + 3 Let i(p) = -240*p**2 - 13*p - 2. Let r(s) = 241*s**2 + 7*s + 1. Let f(n) = 3*i(n) + 4*r(n). Find the second derivative of f(v) wrt v. 488 Find the first derivative of -12*y**3 + 904 - 4*y**2 - 29*y**2 - 351 + 20*y**2 wrt y. -36*y**2 - 26*y Suppose j = 3 + 6. Let c be 3/(-2)*(-24)/j. Find the second derivative of -c*v**2 - 4*v**3 + 4*v**2 + 7*v + 0*v**3 wrt v. -24*v Let d(g) = -699*g**2 + 9*g + 204. Let l(w) = 175*w**2 - 2*w - 51. Let u(k) = 2*d(k) + 9*l(k). Differentiate u(n) with respect to n. 354*n Let p(v) be the first derivative of 14*v**6/15 - 2*v**3/3 + 35*v + 1. Let a(c) be the first derivative of p(c). What is the second derivative of a(d) wrt d? 336*d**2 Let o(v) be the third derivative of 181*v**7/210 + 13*v**4/24 - 3*v**3 - 6*v**2 + 41*v. What is the second derivative of o(t) wrt t? 2172*t**2 Let v(l) be the first derivative of 3/2*l**2 + 19/4*l**4 + 0*l - 10 + 0*l**3. What is the second derivative of v(w) wrt w? 114*w Let v(m) be the third derivative of 19*m**5/12 + m**4/12 - 11*m**3/6 - 23*m**2. Find the second derivative of v(b) wrt b. 190 What is the derivative of 14*n**2 - 30421*n - 3*n**2 + 30420*n + 93 wrt n? 22*n - 1 What is the second derivative of 2*o**2 + 4982 - 38*o + 367*o**3 + 4983 - 9966 wrt o? 2202*o + 4 Let s(r) be the third derivative of -r**6/40 - 28*r**5/15 - 21*r**2 - 3*r. Find the third derivative of s(o) wrt o. -18 Let r(v) be the second derivative of 7*v**4/4 - v**3/3 - 6*v**2 - 88*v. Find the second derivative of r(u) wrt u. 42 Let c(u) be the second derivative of -u**9/1890 - u**6/30 + u**4 + 23*u. Let i(g) be the third derivative of c(g). What is the second derivative of i(q) wrt q? -96*q**2 Let g(j) = -j**3 + j**2 + 1. Let a(l) = -425*l**5 - 3*l**3 + 3*l**2 - 52*l + 3. Let c(k) = -a(k) + 3*g(k). What is the second derivative of c(f) wrt f? 8500*f**3 What is the third derivative of 6*f**2 - 145 - 7*f**2 - 318*f**3 + 145*f**3 - 697*f**3 + 37 wrt f? -5220 Let w(h) = 8*h**2 + 17*h - 364. Let s(k) = 18*k**2 + 33*k - 729. Let x(z) = -3*s(z) + 7*w(z). Differentiate x(r)
{ "pile_set_name": "DM Mathematics" }
06174 Product of 3238122 and -5. -16190610 What is 1.8804 times 32? 60.1728 Multiply 0.0379221 and 0.2. 0.00758442 0.2 times -316632 -63326.4 -2861 * -2.7 7724.7 Product of 0.2 and 6431. 1286.2 1218*16 19488 Work out -3450437 * -4. 13801748 -0.05187 times 1.3 -0.067431 What is -40 times -186? 7440 What is -2008 times 0.0132? -26.5056 Calculate -52885*-0.6. 31731 0.036*-25.34 -0.91224 -43*63430 -2727490 667 times 165 110055 354 * -16.6 -5876.4 Product of 1421592 and -0.2. -284318.4 Product of -2200.3 and -0.3. 660.09 0.02 * 1757 35.14 113.4 * 531 60215.4 Product of 40 and -0.4937. -19.748 12363 times -8.9 -110030.7 What is the product of 5 and 26088.1? 130440.5 5686 times -5 -28430 Product of 2493 and -335. -835155 -4.66 * 10.89 -50.7474 Work out -0.14 * 21008. -2941.12 Calculate 8.3*21.4. 177.62 Product of 143894 and -0.3. -43168.2 658.83 * -0.07 -46.1181 Product of 0.3 and -10919. -3275.7 Product of 0.141 and -11.9. -1.6779 -172410*-5 862050 What is 0.05 times 9.359? 0.46795 Product of -0.205762 and -3. 0.617286 What is 1.9 times 60.7? 115.33 Work out 1 * 0.087253. 0.087253 What is 200 times -5929? -1185800 What is the product of 76804 and -0.25? -19201 -43.9 times -7086 311075.4 What is the product of 5.3906 and 3? 16.1718 -1.4 times 6.453 -9.0342 -3.3 * -1348 4448.4 10 times 30976 309760 -3 * -217952 653856 0.44 * 43419 19104.36 Multiply -99.3 and 0.4. -39.72 19 * 20341 386479 Calculate 4905*3. 14715 Work out 0.07 * 6604. 462.28 What is the product of 3.48 and 10.95? 38.106 0.21 * 1120 235.2 Multiply 0.11952 and -1.4. -0.167328 What is 11 times -30.543? -335.973 Work out 2 * 0.0608. 0.1216 Work out -0.3 * -123048. 36914.4 Calculate 0.01*-15.9893. -0.159893 What is 0.082 times 0.08213? 0.00673466 Calculate 0.063*175. 11.025 -41 * -151.2 6199.2 What is the product of -1.19 and 155? -184.45 Product of 26.2742 and -0.3. -7.88226 What is 0.5 times -3.95297? -1.976485 What is 0.5 times -2.97235? -1.486175 -0.47 * -0.058173 0.02734131 What is the product of 414.5 and 0.11? 45.595 What is 978.8 times -1? -978.8 Multiply -0.0503 and 0.271. -0.0136313 What is -1799900 times -5? 8999500 Multiply -153 and -0.19. 29.07 What is 0.8 times 1197? 957.6 What is 176 times 0.3911? 68.8336 Calculate 63.388*9. 570.492 1 * -1345278 -1345278 What is 129617 times -1? -129617 -235 * -39 9165 Calculate 0.089*-0.0115. -0.0010235 Work out 42 * -16.02. -672.84 Product of -387.7 and 0.13. -50.401 What is -0.22 times 0.69? -0.1518 0.2784 times -0.62 -0.172608 Calculate -5*285.51. -1427.55 Calculate 0.3*0.0478476. 0.01435428 Calculate -0.1*-101782. 10178.2 -18 times 4079 -73422 Work out -3.68 * -282. 1037.76 What is the product of 331201 and -7? -2318407 Work out -13.1 * -3.05. 39.955 Calculate -83*1242. -103086 0.5 * -563258 -281629 0.24 times -18.6 -4.464 Work out 20.4 * -73.9. -1507.56 Calculate 4.502*17. 76.534 Product of 12.8 and 79. 1011.2 127*90 11430 Work out -0.018 * -0.0526. 0.0009468 Calculate -0.6*-5484. 3290.4 -0.317858 times -0.3 0.0953574 -2.52 times 0.21491 -0.5415732 -0.5*-82.979 41.4895 1188.169 times 3 3564.507 What is the product of -2062 and 101? -208262 0.2*-11574 -2314.8 Calculate 2046.15*0.3. 613.845 What is 0.03779 times -6? -0.22674 -181972*-2 363944 What is -1268 times -299? 379132 165.91 * -0.3 -49.773 Calculate -291*-54. 15714 What is the product of -0.48 and 16797? -8062.56 What is -13 times 121? -1573 What is -9 times 9851? -88659 112 * -34142 -3823904 172.534 * 0 0 -342*-6507 2225394 Work out 56 * -31.28. -1751.68 What is -10 times -162168? 1621680 Multiply -0.2 and -37009. 7401.8 Product of -0.134896 and -14. 1.888544 What is the product of -2.814 and -875? 2462.25 What is 8 times -4.5381? -36.3048 What is the product of 4.169 and -0.5? -2.0845 Multiply -14032 and -12. 168384 0.44927 * -0.69 -0.3099963 Calculate 1*0.107578. 0.107578 Product of 5 and 0.6193. 3.0965 -1375*-0.63 866.25 Multiply -0.5 and -925.2. 462.6 Multiply 7.136 and -0.003. -0.021408 What is the product of -0.01 and 7087? -70.87 -1089734 times 0.2 -217946.8 Calculate -7875.3*-11. 86628.3 Calculate -0.916*-20. 18.32 -12318 times 36 -443448 Product of 3502.4 and 0.4. 1400.96 Work out 1.4589 * 3. 4.3767 What is 528024 times -9? -4752216 Work out 8366 * 3. 25098 -27 times -4102 110754 -4*-61514 246056 Calculate 150*5887. 883050 -13.5 * 1157 -15619.5 Work out -0.1 * 9387. -938.7 Multiply 46381 and 1.7. 78847.7 5.128876*-0.2 -1.0257752 Multiply 0.09 and -1898. -170.82 -4.45 * 0.074 -0.3293 Multiply -5025 and -0.04. 201 2 * -86628 -173256 Work out -0.2 * 32584. -6516.8 Product of -21115 and -7. 147805 Product of 0.04 and -139176. -5567.04 -7949*-5 39745 What is the product of -21473 and -3? 64419 Multiply -64 and 1.048. -67.072 Multiply 371.836 and 0.5. 185.918 Product of 5 and 4050. 20250 Multiply 0.0982 and 17.78. 1.745996 Product of 18 and 4456. 80208 Product of -0.08 and -7434. 594.72 Calculate -0.5*9138. -4569 What is the product of 0.2 and -0.0112828? -0.00225656 Work out 358 * 0.12. 42.96 Calculate -0.3784255*2. -0.756851 Work out -6.7065 * 45. -301.7925 Product of -1022 and -10. 10220 What is -13750.9 times -0.02? 275.018 501 * 0.0142 7.1142 What is the product of -0.1 and -1.3319? 0.13319 What is the product of -2140.6 and -15? 32109 What is 931627 times 0.4? 372650.8 What is 69.2 times 23.07? 1596.444 -1*-0.86136 0.86136 Work out -57 * 696. -39672 What is the product of 0.05 and -13226.7? -661.335 5 times 2.23931 11.19655 Product of 23065 and -0.2. -4613 Multiply 0.57365 and 3. 1.72095 Calculate 4*58.3526. 233.4104 What is the product of -0.01 and -29200? 292 Work out 1 * 0.599174. 0.599174 Work out 1986 * -27.1. -53820.6 Product of 13 and 8298. 107874 Multiply -0.15074 and -0.044. 0.00663256 What is the product of -1 and 1575.7? -1575.7 12.905 * 0.24 3.0972 -2.944 times 0.27 -0.79488 What is 9720 times 0? 0 Calculate -0.074*-1.8. 0.1332 -55 * -0.232 12.76 Work out 13.65 * 162.3. 2215.395 -0.3 * 49431 -14829.3 Multiply -0.06674 and 0.23. -0.0153502 What is -26.4297 times 0.4? -10.57188 What is the product of -36 and 715? -25740 1699 times 23.7 40266.3 Work out -25852 * -2. 51704 0.1775*-42 -7.455 -0.5 * 1075.53 -537.765 Work out 3090 * -165. -509850 What is the product of -1.55 and -726.4? 1125.92 -34594 * -4 138376 What is -4 times -60.88? 243.52 507*-385 -195195 Multiply 4261 and -49. -208789 Work out -2 * 0.08966. -0.17932 Work out -2.2 * -27.61. 60.742 -124186*0.1 -12418.6 -23 * 393 -9039 Calculate -0.17*-11.48. 1.9516 Product of 0.1120766 and 0.3. 0.03362298 Calculate 4242*0.06. 254.52 -0.093 * -28501 2650.593 Product of 45.88 and -19. -871.72 Work out -0.4 * 337.8. -135.12 Multiply -0.12925 and -0.058. 0.0074965 -0.4 * -16003 6401.2 -5 times -760.1 3800.5 What is 0.043 times 0.029? 0.001247 Work out 0.12922 * 18. 2.32596 -1035.5*0.53 -548.815 Calculate 2028009*0.4. 811203.6 Product of -243.444 and 0.3. -73.0332 What is -13 times -0.052? 0.676 383.51 * 0.3 115.053 Multiply 0.073 and 0.85. 0.06205 -2 times 427.279 -854.558 Product of -6.64 and 0.182. -1.20848 0.4 times 49.815 19.926 What is the product of 1.4 and -13178? -18449.2 Work out -17 * -1815. 30855 What is the product of 4 and 0.094643? 0.378572 -0.5 * -68309 34154.5 What is 280 times 3.388? 948.64 What is the product of -0.3 and 5.05? -1.515 -0.03*-1850.8 55.524 Work out -0.16232 * 0.13. -0.0211016 Calculate 0.6*-1.067. -0.6402 What is 109.8479 times 0.4? 43.93916 15.461 * 1 15.461 What is the product of -970 and 0.006? -5.82 3 times 0.72 2.16 -7*0.12312 -0.86184 What is the product of -29886 and 50? -1494300 Work out -4 * 13434. -53736 -4 times -418430 1673720 What is 0.125 times -13436? -1679.5 0.4*-344392 -137756.8 What is the product of -1.25 and 7.1? -8.875 What is the product of -692836 and -0.2? 138567.2 Product of -9 and -0.03438. 0.30942 What is the product of 7140.6 and -0.06? -428.436 Work out -41 * 2823. -115743 Calculate 2*7214. 14428 What is 0.122 times -2066? -252.052 -0.4*-35669 14267.6 Calculate -0.097149*-0.1. 0.0097149 Calculate 0.2*-2568. -513.6 What is the product of 642917 and -0.5? -321458.5 What is 798 times 63? 50274 Product of 3.3 and -10.495. -34.6335 Product of 1.1 and -0.1005. -0.11055 Multiply -0.08 and -78.57. 6.2856 What is 16966 times -40? -678640 -3287 times -7.07 2323
{ "pile_set_name": "DM Mathematics" }
est common multiple of 18 and u(i). 36 Let f(t) = -2*t**2 + 10*t + 3. Let v(r) = -r**3 - 5*r**2 + r + 1. Let y be v(-5). Let j(a) = -2*a - 4. What is the lowest common multiple of f(5) and j(y)? 12 Let b = -109074687/74 + 7369968/5. Let s be 516/(-296) - 2/(-4). Let j = b + s. What is the common denominator of 115/6 and j? 30 Calculate the lowest common multiple of 408 and 1090/8 + (126/8 - 16). 408 What is the common denominator of 39/(-30)*1*-1 and 59*7*(-4)/(-224)? 40 Calculate the common denominator of 67/69 and ((-660)/18 + 0)*4/(-70). 483 Let g = 285 + -240. What is the lowest common multiple of g and 54? 270 What is the common denominator of 801/(-54) + (0 - -5) and -31/408? 408 Let d = 46856 - 3233000/69. Find the common denominator of 771/270 + 4/(-18) and d. 690 Suppose -33 + 1 = -2*g. Let r = g + -10. Calculate the smallest common multiple of r and 26. 78 Let p = -7937/11 - -722. Calculate the common denominator of -42 and p. 11 Let l = 4001 + -67990/17. Let f = l + 1119/34. What is the common denominator of f and -44/9? 18 Let g(y) = y**2 + 10*y + 36. Suppose -9*u + 12 = 84. What is the lowest common multiple of 18 and g(u)? 180 Suppose -l + 12 = 1. What is the smallest common multiple of l and 4 - ((-77)/7 - -9)? 66 Let x(k) = 5*k - 21. Let a(p) = p**3 - 3*p**2 - 5*p - 1. What is the least common multiple of a(5) and x(5)? 24 Let t = -29993/16 - -1874. Find the common denominator of 49/23 and t. 368 Let d = 3484739315/1554 + -6727315/3. Let b = -380/37 - d. Calculate the common denominator of b and 10/20 - 118/(-18). 126 Let t be (2625/308)/((-3)/(-10)). Let a = 43/11 - t. What is the common denominator of -77/16 and a? 16 Calculate the common denominator of 62/9*(-3)/(-4) and -53/9. 18 Suppose 5*o = -2*l + 26, -3*o = -4*o - l + 4. Suppose o = 3*x + 3*j, 4*x - 3*x + 5*j + 14 = 0. Calculate the lowest common multiple of x and -27*5/(45/(-6)). 18 What is the common denominator of (-3)/(-84)*(2 + (-88)/36) and 53/18? 126 Let k = -2839/2565 + -14/135. Let p be -3 - (-7844)/16 - 3. Let a = p + -495. What is the common denominator of a and k? 76 Suppose -3*w + 14 = j, 0*j = -j - 2*w + 11. Suppose 2*b - j*b = 5*o + 15, 0 = 3*b - 15. Let r = o - -10. What is the lowest common multiple of 5 and r? 20 Suppose 0 = 5*v - v - 16. Let r be 4 + -3 + (-1 - 0). Let y(t) = -t + 6. What is the lowest common multiple of y(r) and v? 12 Let l = -19066302 - -419740643/22. Let i = 12822 - l. Calculate the common denominator of i and 73/20. 220 Find the common denominator of 558/(-112) - 63/168 and 99/4. 28 Suppose 43*v - 20 = 38*v. What is the smallest common multiple of 20 and v? 20 Let p(y) = y**3 - 6*y + 1. Calculate the lowest common multiple of 11 and p(-2). 55 Let k = 9570589 - 5838056477/610. Let q = 492/19 - 29651/1159. Let h = q - k. What is the common denominator of h and -25/2? 10 Let c(l) = l**3 - 7*l**2 - 9*l + 10. Let k = -46 - -51. Suppose k*w = 13*w - 16. Calculate the least common multiple of c(8) and w. 2 Let h = 39934/4815 - 17/1070. Find the common denominator of h and -61/42. 126 Let t = -16 + 28. Calculate the lowest common multiple of 33 and t. 132 Let n(t) = 14*t**2 + 2*t - 1. Let g be n(1). Suppose 0 = -3*q - u - 43, 6*q = q - 3*u - 77. Let d = g + q. Calculate the lowest common multiple of d and 2. 2 Suppose 18 = c + 64. Let v = c - -53. Calculate the least common multiple of 2 and v. 14 Let x be 4/1*(-7)/14*-80. Calculate the common denominator of 29/4 and (-2)/10 - (-1 - (-548)/x). 8 Suppose 4*k = 9*k + 40. Let y = -5 - k. Calculate the smallest common multiple of 2 and y. 6 Let n = -41/368 + -96129/2576. Let u = n + 85/2. Let g = -1266 + 17687/14. Find the common denominator of u and g. 14 Let n be 7707/12*(-26)/8. Let d = 2090 + n. Calculate the common denominator of d and (6/16)/(9/(-70)). 48 What is the common denominator of 13/8 and (-13475)/220*-2*(-1)/25? 40 Suppose 4*c - 180 = -8*c. Calculate the smallest common multiple of 10 and c. 30 Suppose -2*c + 13 = 3*g, -5*g - 5*c + 2*c = -23. Suppose 0 = -5*n + 3*a + g, 2*a + a = 3. Find the common denominator of n + 2/((-20)/119) and -85/8. 40 Let w(a) = a**3 - 24*a**2 + 63*a + 8. What is the lowest common multiple of (-428)/(-20) - (-2)/(-5) and w(21)? 168 Let x(a) = 5*a**3 + 4*a**2 - 2*a - 14 - 8*a**2 - 4*a**3. Calculate the least common multiple of x(5) and 3. 3 Calculate the lowest common multiple of ((-21)/3)/(-8 - (-252)/32) and 28. 56 Suppose -2*b - 3*g - 2*g = -54, 0 = -4*g + 8. Calculate the common denominator of (b/(-33))/((-20)/(-153)) and -79/4. 20 Let w = 3 - -2. Suppose -d + 13 = x + 1, x - w*d = 0. What is the least common multiple of 8 and x? 40 Calculate the common denominator of (-852)/(-90)*-1 + 7 and ((-2)/(-18))/(32/(-492)). 120 Let h be ((-4)/3)/((-253)/(-44)). Let q = -5046691 - -2089332071/414. Let f = q - h. What is the common denominator of f and 1/30? 90 Let c(b) = 28*b**2 - 6*b + 5. Let s be c(-5). Let y = -24253/33 + s. What is the common denominator of y and -35/33? 33 Let w = 12467494357/2387446902 + -6/132635939. Let b = 26/467 + w. Calculate the common denominator of b and -87/16. 144 Suppose -3*m = -2 - 4. Suppose 3*y - 65 = -m. Suppose 4*o - 93 + y = 0. Calculate the least common multiple of 22 and o. 198 Calculate the common denominator of -35/8 and 5/10 + (-119)/20 + 1. 40 Let i(f) = f**3 + 10*f**2 + f + 4. Let s be i(-9). Suppose 0 = -2*q - 4*j + s, -28 = -4*j - 8. Calculate the least common multiple of 10 and q. 140 Let q(w) = 21*w - 180. What is the smallest common multiple of 18 and q(10)? 90 Let r = 2/25 - 857/400. What is the common denominator of 79/16 and r? 16 Let y = 5375/3 - 1812. Let d = 21/5 + -6578/15. Let h = -449 - d. Calculate the common denominator of h and y. 3 Calculate the lowest common multiple of (2 + 0 - 0)*1 and 33*(16/(-12) + 2). 22 Suppose 26*k - 620 = -5*k. Calculate the smallest common multiple of 6 and k. 60 Let a = 3125/742 + 38/53. Suppose -2*q - 2*q - 856 = 0. Calculate the common denominator of a and -2 - (1 - q/(-40)). 140 Suppose -t - 5*o = 67, -2*o - 229 = 3*t - o. Let i = -63 - t. What is the lowest common multiple of i and (-2 - -65)/3 + -1? 140 Let q = -1557/4 - -381. Let y = 273/23 + -260646/21965. Let c = y - -36269/6685. Find the common denominator of c and q. 28 What is the least common multiple of 10 and 3*(384/18 + 0)? 320 Let n = 246 + -749/3. Calculate the common denominator of n and -23/63. 63 Let i = 22399/10 - 2236. Find the common denominator of -73/22 and i. 110 Suppose -15*w + 1324 + 1331 = 0. Calculate the lowest common multiple of 1 and w. 177 Suppose -2*l = 2*m - 108, 4*m + 28 = -2*l + 144. What is the lowest common multiple of l and 40? 200 Let q be (-2 - -4) + (20 - -7). Suppose -q*n + 4 = -25*n. Calculate the lowest common multiple of 12 and n. 12 Calculate the common denominator of -4 + (-6)/(6336/(-3949)) and 21/8. 96 Let u = 217/19 + -31411/2717. Find the common denominator of -23/130 and u. 1430 Suppose -4*t + 76 = 4*k, -2*t + 74 = -k + 5*k. Calculate the lowest common multiple of k and 32. 288 Let d = 30 - 58. Let t = -21 - d. What is the smallest common multiple of 9 and t? 63 Let m be -2 - 0*1/2. Suppose 0 = -14*y + 22*y - 56. Calculate the least common multiple of (-4)/6*9/m and y. 21 Let b(w) = -22*w + 671. What is the lowest common multiple of b(28) and 410? 4510 Suppose -5*t = -2*t + 6. Calculate the common denominator of (188/88)/(2/t) and (-1222)/308 + 4/14. 22 Find the common denominator of 24111/2256 - (-11)/(-1) and -97/1018. 8144 Let d = 3 - -3. What is the lowest common multiple of 23 and ((-35)/21)/((-2)/d)? 115 Let w(b) = b**2 + 24*b + 149. Calculate the smallest common multiple of 14 and w(-13). 42 Calculate the common denominator of 54/7 and (18/(-10) + 2)/((-1)/(-33)). 35 Let o = 13 + -2. Suppose 6 + 5 = 4*g + i, -5*g = -3*i - 1. Suppose 0 = r - 3*r + 5*h + 39, -19 = -g*r + h. Calculate the smallest common multiple of o and r. 77 Let t = -34 + 38. Let d be 0 - ((-2 - -58) + t). Find the common denominator of 31/22 and -2 + 6 - (-471)/d. 220 What is the common denominator of 39/55 and (31004/200)/23 - 7? 550 Let h be 4482/(-4)*35/28. Let x = h - -1409. Calculate the common denominator of x and 75/14. 56 Let s = 1/140 + -2033/420. What is the common denom
{ "pile_set_name": "DM Mathematics" }
g? j Let y = 4.23 - 0.23. Which is the closest to -2? (a) 1 (b) -4 (c) y b Let n be (-2 - -2)*5/10. What is the closest to -5 in n, 1/2, 3? n Let n = -17.9 + 18. Which is the nearest to n? (a) -2/5 (b) -4 (c) -0.5 a Let p = -164 - -164. Which is the closest to 0? (a) 15 (b) -3 (c) p c Let d = -0.12 - 4.88. Suppose 0*q = -5*q - 5. What is the nearest to q in d, -0.2, 1/4? -0.2 Let f = 0.17 + -5.17. Let x = -1 - -0.7. Let q = 0.5 + x. What is the closest to 2 in f, q, -2? q Let s = 1.8 + -1.9. Which is the closest to s? (a) 4 (b) -2/13 (c) -2 b Let y = 21 + -22. Let g = -7 - -12. What is the closest to y in g, -5, 1/5? 1/5 Let u = -76.51 + 76. Let r = 0.01 + u. Let s = r - -4.5. What is the closest to -2 in -4, 0.1, s? -4 Let k be 10/12*(170/75 + -2). Which is the nearest to k? (a) 4 (b) 3 (c) 3/5 c Let p = -19.04 + 19. Which is the closest to -1/2? (a) 2 (b) p (c) 4 b Let g = -2.22 + 0.22. Which is the closest to -2/3? (a) 5 (b) 3/5 (c) g b Let w be 6/96*50 - 3. Let i = 1.1 - 0.1. Let m = i + -0.9. Which is the closest to 1? (a) m (b) w (c) 4 b Let k be ((-12)/45)/(2/(-5)). Let i = 3 - 3.2. Let o = i - -0.5. What is the closest to -0.1 in o, -0.4, k? -0.4 Let s = 11 - 11.3. What is the closest to 0 in -5, -0.4, s? s Let d be ((-534)/8)/((-35)/(-28)). Let u = d - -53. Which is the nearest to u? (a) 3 (b) -3 (c) 0.1 c Let t = 1130/2653 + 1/379. Let z = -7 - -11. What is the closest to -0.3 in t, 0.1, z? 0.1 Let y = -0.9 - -0.8. Let w be 0 - (-5)/3 - -1. Let k = w + -2. What is the closest to k in 5, y, -2? y Let x = 7.4 - 7.2. Let j = 0.04 + -2.04. Which is the nearest to 1/3? (a) 4 (b) x (c) j b Let c = 59 - 117/2. What is the closest to 2 in 0.1, -0.5, c? c Let r = 9.3 + -6.3. Let z = -3 + 4. Which is the closest to z? (a) -2 (b) 2/7 (c) r b Suppose -5*x = -x. Suppose x = -3*v + p - 8, 2*p - 18 = 3*v - p. What is the closest to v in 1, 0.5, 2/5? 2/5 Let x = -8 + 15. Let w = 4 - x. Let o = w - -4. Which is the closest to o? (a) -2 (b) 2 (c) -3 b Let i = 3 - 2.8. Let x = i + -0.3. Suppose 3*o + 2 = -1. What is the nearest to 0.1 in o, x, 4? x Let l = 127.1 + -127. Let r = 0.4 - -1.6. Which is the nearest to l? (a) r (b) -0.1 (c) -0.3 b Let t = -0.5 + 0.9. Let i = -0.7 - -3.2. Let r = i - 2. What is the closest to 1/4 in t, r, -0.5? t Let d be 2/(-22*3/(-12)). Let z be 86/(-66) - (-2 - -2). Let q = d - z. Which is the nearest to 0? (a) 0 (b) -2/13 (c) q a Let g = -197 + 988/5. Which is the closest to -1? (a) 0.4 (b) g (c) 11 a Let h = -81 - -84. What is the nearest to h in 0.4, 1/5, -1/3? 0.4 Let t = 17 + -17.2. What is the closest to 2 in -1/6, 0.4, t? 0.4 Let d = -1 + 1.4. What is the closest to 1 in d, 2, 0.1? d Let s = 0.1 - 0.9. Let d = -0.3 - s. Let m be ((-2 + 0)/4)/(3/(-2)). Which is the nearest to 2/3? (a) -3 (b) d (c) m b Let k(o) = -o**3 - 6*o**2 + 5. Let y be k(-6). Let c = 0.2 - 0.8. Let q = -1.6 - c. What is the closest to q in -1, y, -2/3? -1 Let x = 37/5 - 269/35. What is the closest to 0.7 in x, 2, -0.3? x Let k = 22.48 + -4.38. Let u = k - 18. Which is the closest to u? (a) -4 (b) 4 (c) 1 c Suppose -z + 11 = 7. Which is the closest to -0.3? (a) z (b) -0.1 (c) 2 b Let y = 4 - -1. Which is the closest to 1/3? (a) -3 (b) y (c) 2/3 c Suppose 11 = -5*w + 3*x - 26, -5*x = -3*w - 35. Let z be -3 + (3 + -2 - 6/(-4)). Which is the closest to 0? (a) w (b) 0 (c) z b Let o = 7 + 1. Let c be 2 - 1 - 14/o. Let n(v) = v + 2. Let x be n(0). What is the closest to -1 in c, x, -0.4? c Let t be 3/(-20) - 10/(-25). What is the nearest to 0.1 in 0, 3, t? 0 Let q = 5 + 0. Let h = -0.15 - -0.07. Let l = 0.32 - h. Which is the closest to 2/5? (a) l (b) q (c) 1/4 a Let z = -468/7 - -67. What is the nearest to 1 in -0.5, -2/15, z? z Let s(f) = -f**3 - f**2 - f - 1. Let n be s(-1). Let w = -385.6 - -386. Let o = 23 + -347/15. What is the nearest to n in w, o, -0.3? o Let w = -9.2 + 9. Which is the nearest to 0.1? (a) 1/9 (b) w (c) -4 a Let h = 0.02 - 0.02. Let n(a) = -a**2 - 12*a - 11. Let m be n(-10). Let c = m - 12. What is the closest to h in 1/6, c, -1/3? 1/6 Let t = 10 + -7. Suppose 2*d - 3*g - 6 = 23, -d - 18 = 5*g. Let v = 8 - d. Which is the nearest to -1/4? (a) 0.4 (b) v (c) t a Let z = -4 + 3. Let o = -2.85 - 0.15. What is the closest to z in -0.2, 0.1, o? -0.2 Let m(r) = 2*r - 6. Let h be m(3). What is the nearest to h in 0.1, 2, 3/5? 0.1 Let j be 2/(-7) - 15/(-28). Let f(d) = d**2 + 4*d + 6. Let a be f(-4). Let y be 0/(2 - (-3 + a)). What is the nearest to y in -5, j, -0.3? j Suppose -5*j + 4*z = 15, j + z + z - 11 = 0. Let i be j/2*(-8)/(-6). Let f = 0.1 + 0. Which is the nearest to i? (a) 1 (b) f (c) -5 a Let j = 21 + -19. What is the closest to -0.1 in -2/5, 0.1, j? 0.1 Let z = -18 + 18.06. Let w = 1.06 - z. What is the closest to -1 in w, 5, 3/10? 3/10 Let c = -0.4 - -0.9. What is the nearest to -1 in 0.4, c, -0.5? -0.5 Let j = 8 - 29/4. Let m = -493.06 + 489. Let i = 0.06 + m. Which is the closest to -1/2? (a) j (b) 1 (c) i a Let g = 25387 - 1980155/78. Let o = g - 3/13. Let l = 0.03 + -2.03. What is the nearest to -2/7 in o, -4, l? o Let s = 1.1 - 2. Let i = s + 0.4. Let b = -0.4 - i. What is the closest to -1/4 in b, 2/5, -0.1? -0.1 Let g = -30 - -30. Let o = 0.3 + -0.3. What is the nearest to g in 0.1, -5, o? o Let k(z) = 4*z - 2. Let x be k(0). What is the nearest to 13 in 2, -4/3, x? 2 Let k = 0.1 + 0. Let x(w) = -5*w**2. Let p be x(1). Let f = -43 + 39. What is the nearest to k in p, f, 0? 0 Let q(g) = -2*g + 16. Let d be q(11). Let r = d - -8. What is the nearest to -1 in 1, r, 5? 1 Let p be 1/(-4)*8/6. Let q = -2 - 18. Let c = q + 18. What is the closest to 0 in p, c, -0.4? p Let o = -12 - -15. Let d = -5 - -6. What is the closest to d in -0.4, o, 2/11? 2/11 Let b = -2/7 + 4/7. Let t be 1/8*42/(-1). Let u = t + 5. What is the nearest to u in 1, -0.1, b? -0.1 Let m = -45 - -21. Let n = m + 24.4. Which is the nearest to -2/5? (a) 0.3 (b) -0.4 (c) n b Let i(k) = -k**2 + 7*k - 1. Let l be i(6). Let h = -91/5 - -18. What is the closest to 0.1 in h, 1/5, l? 1/5 Suppose -10*t - 20 = -5*t. Let s = t + 4. What is the nearest to s in -5, -2/11, 0.3? -2/11 Let q = 0 + -0.2. Which is the nearest to q? (a) -0.4 (b) 2/27 (c) 4/9 a Let i = -0.939 - 4.191. Let g = 0.13 + i. What is the closest to 0.1 in 3/5, g, -4/7? 3/5 Let u = -103/34 - -9/17. Let y = -86 + 861/10. What is the closest to 1/4 in u, y, -4/5? y Let i = 0 - 0. Let n = -0.1 - 0.9. Let r = 12.4 - 12.8. What is the nearest to n in i, -1/2, r? -1/2 Let t be ((-15)/(-18))/(7/2). Let d = -19/21 + t. What is the closest to 1 in -1, 0, d? 0 Let j(r) = -7*r**2 + 1. Let s be j(-1). Let t = s - -4. Which is the nearest to 0? (a) -5 (b) -0.06 (c) t b Let l = -200/3 - -67. Let t = 2 - -1. Suppose t = 4*a - 5. What is the nearest to l in 3, 5, a? a Let i = 4.1 + -4. Let t = 0.3 - 0. Let r = t - i. Which is the nearest to 2? (a) -5 (b) r (c) -0.1 b Let z = 14 + -15. What is the closest to -0.1 in 1/3, z, 2? 1/3 Let d = -16.9 + 17. What is the nearest to -1 in 1/2, d, -3/2? -3/2 Let s = 401 - 404. Let k = -15 - -15.07. Which is the nearest to -1? (a) -5 (b) s (c) k c Suppose 30 = -4*x + 10. Suppose 0 = 3*d + 2*k - 22, 0 = 3*k + 12. Let b = x + d. What is the closest to -2/5 in 5/4, b, -2? -2 Let p = -49394/47 + 1051. Let t = 824830/423 + -1950. Let i = t - p. Which is the closest to 1/2? (a) i (b) 0 (c) -0.3 b Suppose 5*r - 29 = -2*d, 5*d + 14 = 4*r + 4. Let t = 2 + -1. Which is the nearest to t? (a) d (b) -3 (c) 0.5 c Let b be (-1)/(-3) - 2/6. Let m = -11 + 11. What is the nearest to b in m, -2, -0.5? m Let i = -4 + 6. Let k = 0.3 - -0.2. What is the closest to -2/5 in 0.3, i, k? 0.3 Let h = 1.2 + -1.9. Let j = h - -0.2. Which is the closest to 0? (a) -5 (b) j (c) 0.2 c Let n = 6 - 7. Let f = -0.5 - n. What is the nearest to 0.2 in -2, f, -5? f Let g be 8/(-6) + 1 - 8/(-24). Let o = 5 - 5. What is the closest to g in -4, o, 0.5? o Let i = -0.3 + 0.3. Suppose -3*r = -3, 2*b - 10 = -3*r - 109. Let q = b + 205/4. What is the nearest to i in q, -3, 2? q Let g = 41.07 - 41. Which is the nearest to 1/3? (a) g (b) 0.2 (c) -2 b Let u = -2223 + 6590/3. Let a = u + 26. What is the nearest to 1 in 1/9,
{ "pile_set_name": "DM Mathematics" }
-1? -2/309983 Do -40 and -7 have different values? True Which is smaller: -0.2 or 359? -0.2 Which is smaller: 10 or 0.02? 0.02 Is 10 at most 12? True Which is smaller: 4 or 37? 4 Which is bigger: 0.1 or -9.99? 0.1 Which is bigger: -172/11 or 17? 17 Which is smaller: 0 or 0.041? 0 Is -1541 at most as big as 1/2? True Is -1 less than 10/261? True Which is smaller: -116/63 or -2? -2 Which is bigger: -59 or 3/5? 3/5 Is -3 at most as big as -1/479? True Is -56/13 < -5? False Are -2/115 and 58 non-equal? True Is -128 less than or equal to -129? False Is -7/18 >= 1? False Is -0.17 greater than 0.726? False Which is greater: 10331 or 2/7? 10331 Is -21 bigger than 11? False Does 2/4813 = -1? False Is -0.5 less than or equal to 36/19? True Which is smaller: 6237/5 or 1247? 1247 Is -11945 greater than or equal to -11945? True Which is smaller: 257 or 89? 89 Which is greater: -16 or -16/21? -16/21 Which is smaller: -632 or -633? -633 Which is smaller: -31 or 11? -31 Which is bigger: -61 or -60? -60 Which is greater: -533 or 3/8? 3/8 Is -49 not equal to 1/5? True Is 1 at most -0.1717? False Is 37 != 29? True Is -25 equal to 6? False Which is bigger: 1/29 or -0.05? 1/29 Does 0.054588 = 1? False Is -27/8 bigger than -3? False Is 1 > 414/13? False Is -7/4 < -3? False Is 7/335 >= 0? True Which is smaller: -56 or -52? -56 Is 0 at most 2/73? True Is -430 < -430? False Which is bigger: -0.1 or 305? 305 Is -84 at most as big as -84? True Is -83 bigger than -2.4? False Is 1647 at least 1658? False Is 32 at most as big as -37? False Which is smaller: -3797 or -3798? -3798 Which is smaller: -4.9 or -98? -98 Which is smaller: -152/39 or -3? -152/39 Which is smaller: -124/5 or -25? -25 Is 1541 greater than 1540? True Which is bigger: 0 or -7/384? 0 Does -71 = 2/5? False Which is smaller: -24 or -33? -33 Which is bigger: 2/108077 or 0? 2/108077 Is -6/6191 less than or equal to 0? True Is -92 at most -86? True Is -11/14 less than 20/11? True Is 2/57 less than 0? False Which is smaller: -61 or 3? -61 Is 1 <= -1/204? False Is -1 smaller than 3/778? True Is 2/1867 greater than -1? True Which is bigger: 1/1316 or -1? 1/1316 Is -2/625 at least -1? True Is -6 bigger than -0.181? False Is 318 less than 318? False Is 15/73 smaller than 0? False Is 2 at most 15? True Is 14/111 < 1? True Which is greater: -2 or -404? -2 Is -2046/7 less than or equal to -291? True Do 1 and 0 have different values? True Is 36 at most -2/21? False Which is bigger: -181 or -149? -149 Is -52230 greater than -52231? True Is 61 smaller than -38? False Is 55 not equal to 164/3? True Which is smaller: 41/3 or 13? 13 Which is smaller: 16939/2 or 8470? 16939/2 Is 167 > 168? False Are 75 and 72 non-equal? True Is 11/3 at most 1? False Is 11 < 19? True Is -690 greater than or equal to -698? True Which is smaller: 1 or 12/65? 12/65 Which is smaller: -35020 or -35018? -35020 Is -1.9673 less than 1? True Which is bigger: -1 or -0.373? -0.373 Which is smaller: 2212 or 15474/7? 15474/7 Which is smaller: 1 or 64/131? 64/131 Which is smaller: -6966 or 0.3? -6966 Which is smaller: 1/4 or -612? -612 Which is smaller: -1/2517 or 1? -1/2517 Which is smaller: 7 or -732? -732 Is -10 not equal to -2/385? True Which is smaller: -9 or 104? -9 Which is smaller: 2/5 or 1616? 2/5 Is -823 at most as big as -823? True Is 22364 at most as big as 22364? True Which is greater: -1231 or -2? -2 Is 218 less than 3/2? False Which is bigger: -16235 or -16234? -16234 Which is greater: -2/37 or -1? -2/37 Are -124 and -126 nonequal? True Which is greater: -38/35 or -2? -38/35 Which is smaller: 166 or 2? 2 Is -45 greater than or equal to -45? True Which is smaller: 5169 or -0.1? -0.1 Which is smaller: 31.42 or -4/9? -4/9 Which is bigger: -3815 or -3816? -3815 Which is bigger: -378 or -383? -378 Is -1 <= 2/285? True Is 1 <= 1/41452? False Is 4 greater than 8? False Does -1 = -8677? False Which is bigger: 7/2 or 3? 7/2 Is 50 <= 1242/25? False Is -17 < -1/17? True Is -458 equal to -461? False Which is bigger: 4 or 4/9? 4 Is -4 != 4? True Do -172 and -171 have the same value? False Is -12689 less than -12690? False Are -989 and -987 unequal? True Is 3277 at least 3283? False Is 0 < 1/3326? True Is -3 smaller than -78/19? False Which is smaller: 1 or -2/347? -2/347 Which is bigger: 10/11 or 0? 10/11 Do -25/6 and 0 have the same value? False Which is greater: 1 or -2/471? 1 Are 35 and 34 unequal? True Are 2/235 and 1 non-equal? True Is 2475 smaller than 2487? True Is -2/5 equal to -1.45? False Is -597 equal to -0.8? False Is 411 <= 0? False Which is smaller: 0 or 5/14322? 0 Which is greater: 0 or 1/5? 1/5 Is 2 greater than 6? False Is -1634 <= -1634? True Is 0.1288 greater than 1? False Do -7 and -6 have the same value? False Is -2/3 not equal to 41/5? True Are 3/280 and -1 equal? False Is -1/3 >= 2558? False Is 416 greater than 415? True Which is bigger: 22 or -402? 22 Which is smaller: -5/361 or -1? -1 Does -9325 = -9325? True Does 1673 = 11712/7? False Which is bigger: 0 or 7/33? 7/33 Is -909 < -912? False Which is greater: 1 or -1/376? 1 Which is greater: 356 or 353? 356 Is -4 at least as big as -225? True Is 0 at least as big as -1/1221? True Which is greater: -282 or -281? -281 Is -17431 <= -0.1? True Is -2 at most as big as -57/28? False Which is smaller: -967/6 or -161? -967/6 Is 0.239 >= 7? False Which is smaller: -240 or -239? -240 Which is greater: -1 or -21/34? -21/34 Which is smaller: 80/19 or 5? 80/19 Which is smaller: 536/95 or 5? 5 Is -1 at most as big as -4.4? False Are -1 and 0.7387 equal? False Which is bigger: -7/3 or -2? -2 Which is smaller: -5 or -313? -313 Is -1221/19 >= -2/9? False Is -3/16 <= 0.08? True Are -44 and -486 equal? False Which is greater: 4/71 or -1? 4/71 Is -6 at most 0.007? True Is -1.733 at least -1? False Is 87 less than 29? False Is 276 not equal to 277? True Which is smaller: 66 or 468/7? 66 Are -98/19 and -4 equal? False Which is greater: -16 or -4/3? -4/3 Is 3 smaller than -1.976? False Which is bigger: 130/9 or 14? 130/9 Is 0 greater than -94/255? True Which is bigger: 1269 or 7? 1269 Are 6 and -0.11 non-equal? True Do 844 and 844 have the same value? True Which is bigger: -223 or 1? 1 Is -19/4 < -9? False Which is smaller: -313/3 or -1? -313/3 Which is bigger: -2271 or -11356/5? -2271 Is -340 != -340? False Which is bigger: -36 or 2/77? 2/77 Is 8/307 greater than or equal to -1? True Is -1/4 <= 141? True Which is smaller: -0.1 or 572? -0.1 Is 2185/3 less than 2? False Which is smaller: -4/3 or 889? -4/3 Is -293/28 bigger than -9? False Is 58/219 != 0? True Is -135/137 less than or equal to -1? False Which is smaller: -4 or 1? -4 Is -1 > 1364? False Is 4417 bigger than 4415? True Which is bigger: -16 or -21? -16 Which is greater: -1 or 101? 101 Which is smaller: -2 or -17? -17 Is -1 less than 1/1116? True Which is smaller: -3617 or -3616? -3617 Is -6.3 equal to -0.14? False Which is bigger: -1526 or -1527? -1526 Which is greater: -158 or -2? -2 Is 0 at most -8/435? False Is -1/2 at least -4527? True Which is bigger: -134 or -9? -9 Is -8 > -7.9? False Is -2/5 bigger than 1.4? False Is 147 greater than 152? False Is -1189 < -6? True Which is smaller: -2/67 or 47? -2/67 Is 36 bigger than -17? True Do -25/29 and -2 have the same value? False Which is smaller: 0 or -52/27? -52/27 Is 361 greater than 361? False Which is smaller: 1/11144 or 0? 0 Is 18975 > 18975? False Are -4 and -136/37 unequal? True Which is smaller: 20149 or 20148? 20148 Which is greater: -200 or -202? -200 Is -207 greater than -617/3? False Which is smaller: 578 or 0? 0 Which is bigger: 1/2275 or 0? 1/2275 Is 236 at most 239? True Is 10.8 != 2? True Is -1 at most as big as -66/43? False Which is greater: 21 or 11? 21 Which is smaller: 1 or -1/1052? -1/1052 Which is smaller: -5/29 or -1? -1 Is 2/5 less than or equal to -68/225? False Is -10/5101 greater than 1? False Is -16/127 greater than or equal to -1? True Are 273 and -2 equal? False Which is smaller: 0 or 11/118? 0 Which is smaller: 5.8 or -0.5? -0.5 Is 10/51 bigger than 0? True Which is smaller: -1 or -2/19327? -1 Which is smaller: 291 or 0.08? 0.08 Are -495 and -2478/5 non-equal? True Which is bigger: 0 or -37/552? 0 Which is smaller: 5 or -5/19? -5/19 Which is smaller: 4/1451
{ "pile_set_name": "DM Mathematics" }
= -3*v + 4*q + w, -5*v + q + 21 = -3*q for v. 1 Let j(z) = -z**2 - 8*z + 4. Let u be j(-8). Suppose -63*l = 4*f - 64*l - 43, 54 = 5*f - l. Solve -i + 4*p = -f, -u*p = i - 6*i - 9 for i. -5 Let m be 8/(-6) - -2*(-21)/(-18). Solve -5*s = 4*c - 2*s + m, -c - 2*s = -1 for c. -1 Let y = -5 + 18. Let u(w) = -w**3 - 4*w**2 + 2*w + 2. Let s be u(-5). Let n = s - y. Solve 0*o + 8 = -n*i - 2*o, i + 2*o = 1 for i. -3 Suppose -3*n + 2 = -i, 0*i = 5*n + 3*i - 22. Solve -12 = -7*t + 4*t, 4*o + n*t = -4 for o. -3 Let v be -8*((-3 - -2) + 1/(-2)). Suppose -a = 0, -10*m + v*m - 18 = -3*a. Let u be 0*(-2)/(-4)*-1. Solve u = 2*d - 5*i + 8, 5*i - m = d - 0 for d. 1 Let l(j) = -j**3 - 5*j**2 - 10*j - 27. Let k be l(-5). Suppose 3*t + k = 4*t. Solve z + 2*z - 4*u = -t, -5 = -u for z. -1 Let t = 172 + -170. Solve 0 = t*a - 5*m + 14, 4*a + 8 = -0*a + 5*m for a. 3 Suppose 0 = -0*d - 5*d + 15. Suppose 14*g - 12*g - 24 = 0. Let y(j) = -j + 16. Let c be y(g). Solve q - 17 = -3*k, 4 = -c*q + d*k - 3 for q. 2 Suppose 3*k - 4*k + 47 = 5*t, 5*t = 2*k + 56. Let a = -19 - -22. Solve -a*c - 11 = 4*n, 4*c + c + n = t for c. 3 Let h(m) = -m**2 - 9*m + 2. Let v be 6/(-21) + (-326)/(-14). Suppose 13 + v = -4*t. Let y be h(t). Solve 5*a + y*u = 19, -2*u - 8 = -a - u for a. 5 Let a(b) = -b**2 + 24*b - 41. Suppose -u = 4*w - 2, -4*w + 0 = 20. Let n be a(u). Solve -2*y - 2*z = -3*z - 9, n*z - 13 = -2*y for y. 5 Let v be -5*2/(-5) + -2. Suppose v = -w - 0*w + 11. Solve l + z = -9, l = 4*z - z + w for l. -4 Let w(b) = -b**3 + 8*b**2 - b + 10. Let o be w(8). Suppose o*l - l = -2. Let p be (4 + l)/((-5)/(-5)). Solve -i + 3*d = 15, 2*i + 15 = 5*d - p*d for i. 0 Let c(u) = 3*u**2 + 23*u + 7. Let k be c(-11). Let d = -112 + k. Solve 0*h - 4*h = -2*f - 22, -10 = -d*h - f for h. 3 Let i(g) = g - 9. Let w be i(5). Let h = w - -6. Suppose 3*y - 2*n = -3*n + 22, -4 = h*n. Solve 2*k - 2*s + y = 0, -3*k + 6*k - 5*s + 10 = 0 for k. -5 Let w(j) = -4*j**3 + 9*j**2 + j - 2. Let i be w(2). Solve -3*b = -5*x + 29, i*b - b + 13 = x for x. 4 Let a(h) = -4 + 3 + 6*h - 1 + 2*h**3 - 4*h. Let v be a(1). Solve 4*m - 4 = z, -5 + 0 = -v*z - 5*m for z. 0 Suppose 3*j - 60 = j. Let w(b) = 3*b**2 - 167*b + 115. Let v be w(55). Solve -6*y - 3*r = -3*y - j, r = v for y. 5 Let t(m) = m**3 - 2*m - 1. Let p be t(2). Let c = p + -1. Solve 0 = 4*b - u - 22, c*u - 1 = -b for b. 5 Suppose -2*n = 4*d - 3*d - 2, -2 = -d + n. Solve 0 = -4*s + 5*k + 21, -2*s + d*k + 13 = 3 for s. 4 Suppose 0 = -57*j + 772 + 311. Solve 6*t = -4*v + 3*t + j, -2*v + 9 = t for v. 4 Let h = 696 - 692. Solve -5*w = a - 20, 0 = 4*a + 2*w + h + 6 for a. -5 Suppose 13 = -0*h + h + y, 3*h = -2*y + 37. Suppose -536 + 526 = -2*l. Solve -l*a + 14 = -2*x, -5*a = -4*x - h + 3 for x. 3 Let g(h) = 4*h + 7. Let j be g(-2). Let f be 0/(4 + j)*-1. Suppose f = 3*s + s. Solve 5*b = 2*k - 3*k + 5, -k + 5*b - 5 = s for k. 0 Let w(p) = 23*p - 362. Let b be w(16). Solve b = -4*o + 4*m - 2, -3*o = -5*m for o. -5 Let l = -60 - -80. Let q be (3/5)/(84/l + -4). Solve -8 = 2*z, 28 = r - 5*z + q for r. 5 Suppose -31 = -a - 30. Suppose -18 = -5*j + 2*f, f + 0*f + 6 = j. Solve 3*t = 2*t - d + j, 0 = -d + a for t. 1 Let x be (-3)/7 - 959/49. Let k = x + 27. Suppose d - 7 = 7. Solve 3*r + z + k = -3*z, 3*z + d = -4*r for r. -5 Let y = -28 + 27. Let s be -3*y/((-6)/28). Let k = s - -21. Solve 2*h + k = -t, 3*t - 4*h - 6 - 3 = 0 for t. -1 Let r = -3758 - -3763. Let z = 36 + -21. Solve n - 2*p + 6 = -0*p, -r*n + p + z = 0 for n. 4 Let c be ((-2 + (3 - 1))*1)/3. Solve -4*t + 5*s + c*s - 8 = 0, -17 = t - 5*s for t. 3 Suppose -14*o + 15*o = 13. Let x = 43 - o. Solve -k = 5*a - 20, -a = -0*k - 5*k - x for k. -5 Let a = -706 - -718. Let g(m) = -m**2 - 8*m - 2. Let k be g(-7). Solve -3*n = a, -k*n = -0*d - d + 20 for d. 0 Suppose -21 = y + 5*w, 1 = 3*y + 4*w + 42. Let k = y - -17. Suppose 0 = 3*h + 6 + k, 4*h + 28 = 4*u. Solve -u*a + 2*a - 3*d - 4 = 0, d + 3 = 0 for a. 5 Let c be 1/(-2)*6/(-1). Suppose 19 = 5*s - b - c*b, 4 = -4*b. Suppose -s*t + 5*q = 9, -2*t + 4*q = -t + 10. Solve -t*y = 4*i, 5*i - y = -0*y + 7 for i. 1 Let u = -335 - -368. Solve -4*h = -n + 20 - 4, -u = 2*n + 5*h for n. -4 Suppose k = 4*m - 3*m + 137, -4*m - 152 = -k. Let h = k + -129. Solve -3*x = 3*g - 18, 0 = -h*g - 2*x + 10 + 7 for g. 5 Let g = 264 + -252. Solve -5*m - 3*u = g, 0 = -5*m + 4*u + 10 + 6 for m. 0 Let p(c) = -44*c + 44. Let s be p(1). Solve -2*r = s, -3*f - 9 = 4*r - 0*r for f. -3 Let h be (-5 - -14)*1/(-3). Let k = 8 + h. Solve 4*t = -3*w - 14, k*t + 3*w - 8*w = 0 for t. -2 Suppose -8*u + 96 = 24*u. Solve 3*n = 3*w + 9, -n - 4*w = -u*w - 7 for n. 5 Let n = 55 + -50. Let h(t) = t**3 - 3*t**2 - 11*t + 7. Let z be h(n). Solve -5*x + 3*r = -18 - 10, 0 = -3*x + z*r + 17 for x. 5 Let r be -5*16/(-30)*(-90)/(-40). Let w = 1 - -11. Solve r = -2*o + 4*n, 0*o = -o + 5*n - w for o. 3 Let t(w) = w**2 - w + 1. Let y be t(1). Let l be 2 + (-1 - (-3 + 2))*y. Solve -3*p - 3 - 1 = -4*z, -2*z - l*p + 16 = 0 for z. 4 Let g be (-2*1)/(1 + 0). Let h(s) = s**2 + 2*s + 3. Let z be h(g). Let c(t) = -2*t + 8. Let d be c(z). Solve -5*p - 4*y + 2 = 0, d*p = 6*p + 3*y - 2 for p. 2 Let u = 90 - 88. Solve -v + u = p + 6, -4*p - 4 = v for p. 0 Suppose -2*q - 3 + 1 = 0. Let m be (0 - 1 - 1)*q. Let g(a) = -a**2 - 33*a + 628. Let w be g(-46). Solve 0 = -x + 4, -5*x + w = -m*j + 2 for j. -4 Let d(p) = -3*p + 2. Let g be d(-2). Suppose -g*n = -3*n - 15. Suppose m = 3*w - 24, -6*m + m = -4*w + 32. Solve -n*v = -4*k - w, -2*v + 3 = -3*k - 4 for k. -5 Let i(q) = 24*q + 33. Let k be i(-7). Let r = k + 135. Let a(g) = g**3 - 4*g**2 + 2. Let h be a(4). Solve -2*z = h*y - 0*y, -5*z + 2*y + 7 = r for z. 1 Let a = -1641 + 1646. Solve k + 0*k + a*s - 19 = 0, -2*k - 4*s + 14 = 0 for k. -1 Suppose -36 = -10*p + 12*p. Let j = -17 - p. Let h be (j/(-4))/((-15)/300). Solve 3*k + h*n = -7 - 22, 4 = -n for k. -3 Let u(a) = -a**2 + 11*a - 2. Let r(t) = -t**3 + 9*t**2 - 5*t - 19. Let c be r(8). Let l be u(c). Solve 2*v + i - 8 = 0, -v - l = -5*v - 5*i for v. 2 Suppose -5*n + 0*n = -25. Let a = 4 + -1. Let d be 2 - (-2 + -7 - a). Solve 5 + 4 = 4*g + 3*v, -v = n*g - d for g. 3 Let f(v) = -v**3 + 16*v**2 + 39*v - 51. Let s be f(18). Solve -2*k + 6 = 0, -2*g = -0*g - k - s for g. 3 Let y be 8*(7 + -2 - 14/4). Solve 5*t - 4*z = 7, 2*t + 5*z - y = 2*z for t. 3 Suppose 4*m = o + 2, o - 2*m + m - 1 = 0. Solve 5*n = -2*q + 1 + 11, 0 = -o*n + 2*q + 2 for n. 2 Suppose -48 = -10*l + 2. Solve -3*d + l*t = -16, 4*d - 21*t - 18 = -16*t for d. 2 Let l = 1202 - 1198. Solve 0 = -2*b - 3*z - 12, -z - 2*z - 12 = -l*b for b. 0 Suppose 7*q + 139 - 153 = 0. Solve 4*a = 2*d - 16, d + 6 = -q*a - 6 for d. -2 Let w(k) = -k**3 + 9*k**2 - 8*k. Let x(b) = 2*b. Let f be x(4). Let v = 0 + f. Let p be w(v). Solve a = 6*s - 4*s - 1, 2*s - 3*a - 3 = p for s. 0 Let b be ((-2)/4)/((-4)/16). Let u(m) = m + 5. Let r(z) = -6. Let v(s) = 2*r(s) + 3*u(s). Let j be v(b). Solve -4*g - 2*y - 23 = -j, 23 = 2*g - 5*y for g. -1 Suppose 6*d - 4*u - 8 = 7*d, -d = -3*u - 6. Suppose 30 = 3*v + 2*v. Let t = -4 + v. Solve -f + t*o - 1 = d, 5*f - 13 = -3*o + 21 for f. 5 Suppose 0 = -3*q + 3*n - 6*n + 24, 4*q - 26 = -2*n. Suppose -9*t - 30 = 6. Let b be (t/(-2))/(3 + -5) + 3. Solve h = b*h + q*v + 11, 0 = -3*h - v - 5 for h. -1 Let h(j) = -4*j - 15. Let c be h(-9). Let u be 50/(-3) + 5/(-15). Let x = u + c. Solve 4*p = 3*g + 18, 3*p - 2*g - 17 = -x for p. 3 Let p = -5678 - -5678. Suppose z - 6*z + 40 = 0. Solve -4*j + z = 5*s, p*s = 5*j - 2*s - 10 for j. 2 Suppose 0 = -3*q - 6, -3*n + q + 16 = 2*q. Suppose n*z - 21 - 27 = 0. Solve -x - 4 = -5*m, 2*x - 4*x - z = -5*m for x. -4 Let f = -28 + 30. Suppose -f*a + 10 = 3*a. Suppose a*r - 22 + 8 = 0. Solve 2*y = -2*d + r*y + 2, 6 = -4*d + 5*y for d. -4 Suppose 5*z + 41 = -o + 7, z + 46 = -3*o. Let x = -14 - o. Suppose 6*m - 25 + 7 = x. Solve 0 = -h + 4*v - m, 4*h + 4*v - 13 = 15 for h. 5 Let x = 237 - 234. Solve 0 = -5*g - x*h + 37, 1 = 2*g - 2*h - 1 for g. 5 Let w be 649/(-118)*120/(-110). Suppose 0 = 5*j - 2*j. Let o be 2 - (1 - j)*-1. Solve -z = -3*c - 3, o*c + 2*z = -c + w for c. 0 Let i be -2 + (0 - (5 + -2)). Let p(l) = 2*l**2 + 9*l + 13. Let z be p(i). Solve d = -3*h - 0*h - z, 0 = -3*d - 3*h - 24 for d. -3 Let d(j) = 23*j + 115. Let z be d(-5). Solve 0 = -
{ "pile_set_name": "DM Mathematics" }
)*v)*v**(-16)/(v**(4/5)/v))**(28/5) assuming v is positive. v**(-805476/8075) Simplify (((p**(-3/4)*p)/(p**(1/8)/p))/(p**8)**(3/7))**(1/15) assuming p is positive. p**(-43/280) Simplify (b**(1/11)*b*b/b**(-1/3)*b/(b**(-2/7)/b)*b/b**(-1/3)*b)/(b**(-1)*b*b*b**(-1)*b*b**(3/4)*(b*b**(-5))/b) assuming b is positive. b**(9511/924) Simplify (j**(2/9)*j**(-3))/((j*(j*j/(j/(j/(j/((j/(j/j**(-1/2)*j))/j)))))/j)/j)**(4/23)*((j**(-2/9)/j)**(2/79))**(-48) assuming j is positive. j**(-14027/16353) Simplify g**(-6/13)*g**(-16)*g**(-2/41)/g*(g/(g*g/(g**2/g)))/g assuming g is positive. g**(-9866/533) Simplify i/(i/((i**(-5)/i)/i))*i**(-2/5)*(i*i**0/i)**(-26/9)*(((i*i*i*i/(i/i**(-3))*i*i)/i)/(i*i**(-2/21)))/(i*i*i**(2/7)*i*i)**(4/15) assuming i is positive. i**(-887/105) Simplify (((((h/(h/(h**8/h)*h))/h)/h)/(h*h**16))/(h/h**(-13)*h*(h*h/h**10*h)/h))**(2/53) assuming h is positive. h**(-40/53) Simplify ((b**19)**(-5)*b**(11/2)*b*b**(3/16)/b)**22 assuming b is positive. b**(-15719/8) Simplify ((j/(j*j*j**4*j))**(-37)*j/((j**(1/56)/j)/j*j)*j/(j/(j**(-4/11)/j))*j*j)**2 assuming j is positive. j**(138365/308) Simplify (v*v**(-4/5)*v*v*v**(-1/8))/(v*v**(-2)*(v/(v*v**(-5))*v*v)/v)*v**(-3/4)/(v/((v**4/v)/v))*(v/(v/v**5))/v**6 assuming v is positive. v**(-147/40) Simplify (((y**(2/7)/y)/(y*y*y/y**(-6)))/(y*(y*y/(y/(y*y*y/(y*(y**(2/3)*y)/y))))/y*y)**(-5))/((y/y**1)**7/(y**(1/2))**(-25)) assuming y is positive. y**(-233/42) Simplify (s**(-21)*s/((s/(s*s**(-5/6)/s)*s)/s)*s*(s/(s/(s*s*s*s**16)*s))/(s*s/s**(-2/5)))**8 assuming s is positive. s**(-628/15) Simplify (((l**(1/7))**25)**28)**(-39) assuming l is positive. l**(-3900) Simplify (q**(-1/2)*q)**11*(q*q*q**1*q)/(q**7*q*q)*(q/(q/q**(-1)))/q**(1/2)*(q**(-1))**(-48) assuming q is positive. q**47 Simplify ((j**(-2)*j)**(-7/3)/(j*j*j**(-19)*j*j/j**34))**(-4) assuming j is positive. j**(-616/3) Simplify ((s/((s**(2/7)/s)/s))**6/((s**4*s)/s**(1/3)))/(s**0/s*s*s/s**(-5))**(-2/13) assuming s is positive. s**(3424/273) Simplify (u**(-2/7))**47/(u**(-6)/u**(3/2))*(u*u/(u/(u/(u*u**(-1)*u))))**(1/2)*((u**5/u)/u)/(u/(u**4*u)) assuming u is positive. u**(11/7) Simplify (v/(v*(v/(v*v**(-1/2)))/v)*v**(5/6)/v)**(-1/24)*(v*v*v*v**(-6/5)/v)/(v/(v*v**(-3/4)))*((v**(-6)*v)/v)/(v*(v*v/v**5*v*v)/v) assuming v is positive. v**(-1787/360) Simplify (u**3/u**(-3/2))/(u*(u**6/u)/u*u*(u**(2/9)*u*u*u)/u)*(((u*u**6)/u)/(u**0*u))/(u**(-2/5)/u)**(-46) assuming u is positive. u**(-5681/90) Simplify (((s**(-3/7)*s*s/s**0)**(-21))**(1/69))**(-1/7) assuming s is positive. s**(11/161) Simplify (v**(2/7)/v**(1/5))/(((v**(-1)*v)/v)/((v**(5/6)*v*v)/v))*(v**(-2/3))**(20/9)*v*v*v**1/v*v*((v*v**(-2/17))/v)/v assuming v is positive. v**(106669/32130) Simplify (h**(-11)/h**(-2/3))**(-27)*h**(-1/11)*h**4/h*(h**1)**48 assuming h is positive. h**(3629/11) Simplify (h/h**(-2/9)*h**(-5))**(23/3)*(h/h**0)**(-13/5)*h*h**(-3/5)*h*h/(h/(h**3/h)) assuming h is positive. h**(-3802/135) Simplify (((l/(l/l**3))/l)**(1/25)*(l**(2/7))**(-5/7))**(-5) assuming l is positive. l**(152/245) Simplify ((i/((i**(-10)/i)/i)*i/i**(-11/6)*i)/(i**(-3/7)/i)**32)**29 assuming i is positive. i**(76183/42) Simplify ((f**(3/10)*f)**33*(f/f**(1/5))**41)**26 assuming f is positive. f**(9841/5) Simplify (((w/w**(1/2))/w*w*w)/(w**(5/4)*w))/(w*w**(-2))**40*((w/(w*((w/w**(-12))/w*w)/w))/w**8)**(-16/5) assuming w is positive. w**(413/4) Simplify f/(((f/(f/f**(2/5)))/f*f)/f)*f**(-2/5)/f*((f*f*f/f**(2/13)*f)/f)/f**(2/7)*f/((f**(-5)*f)/f)*f**(-1/2)/f*(f/f**(5/4))/f**(-4) assuming f is positive. f**(20039/1820) Simplify (c*c**(-35))**38*(c*c**(-2/83))**(-33) assuming c is positive. c**(-109909/83) Simplify ((c/(c*c**1))/((c**(-6)*c)/c))**(-12)/((c**6*c*(c*(c**(-2/15)*c)/c)/c)/(c/(c**(-1/3)/c))**(-13/2)) assuming c is positive. c**(-2461/30) Simplify ((u*u**(2/3)*(u*((u/u**(-14))/u)/u)/u)/(u**7*u**(-15)))**(1/13) assuming u is positive. u**(68/39) Simplify ((r/(r/(r/r**1*r)))/r)/r**(-1/19)*(r**(1/5)*r)/(r**1*r)*(r**(-1/7)/(r*r/r**(-2)))**(-46) assuming r is positive. r**(126233/665) Simplify ((((h*h*h*(h*h/(h*h**(-2/3)*h)*h)/h*h*h)/(h/(h**1*h)*h*h))**(6/11))**(-36))**(-1/4) assuming h is positive. h**(252/11) Simplify ((v/v**(-2/3))**(6/19))**(-3/5)/(v**3/(v*v**(10/9)))**(35/6) assuming v is positive. v**(-2822/513) Simplify (w**7/w**(-2/3))/((w*w/w**(-1/6))/(w*w**(-6)*w))*(w**1*w)**(-45)*(w**0)**(-2/15) assuming w is positive. w**(-177/2) Simplify ((c/(c**(2/13)*c)*c)**50)**(-2/13)/(((c/c**(2/5))/c)**(-16))**6 assuming c is positive. c**(-37948/845) Simplify ((q*q/q**(-1/3))/(q**(1/7)*q))**34*(q**(-1)/q**(-5/3))/(q/q**(-2/3))**18 assuming q is positive. q**(78/7) Simplify d**(5/3)*d/(d**(-6)*d*d)*d**(-1)/(d*d*d**(5/4)*d)*(d**2/(d**(2/11)/d))/(d**(-5)/d**0) assuming d is positive. d**(1219/132) Simplify ((g*g**(-2)*g)**(-2)*(g*(g*g**(-2/5)/g*g)/g)**(-5))**(-42) assuming g is positive. g**126 Simplify ((i**(-3/11)*i*i*((i**(-35)*i)/i*i)/i)/(i**(-1)*i**(-20)))**14 assuming i is positive. i**(-1890/11) Simplify (((w**4*w)/w**(1/2))/(w**(-1)/w**(1/2)))/((w**(-2/3))**(-1/2)*(w*w/(w**0*w)*w)/(w**(-5)*w)) assuming w is positive. w**(-1/3) Simplify (m**4/m*m/(m/m**5*m*m))/((m**3*m)/m**3)*m**(-4)*m**(-4/7)*(m**1/m)/((m/m**(-3/5)*m)/m) assuming m is positive. m**(-41/35) Simplify (u*u**(1/6)/u*(u/(u*u*u/(u/u**(-4/7))))/u*(u*u**(2/5))**(-2/19))/(u**(2/21)*u**(6/7))**3 assuming u is positive. u**(-17023/3990) Simplify (((m/((m*m**(-7))/m))/((m*m*m**(2/37)/m*m)/m*m))/(m**(-1))**18)**(-2/41) assuming m is positive. m**(-1772/1517) Simplify l**(-9)/((((l**(-1/2)/l)/l)/l)/l)*(l*l/(((l*l*l**0/l*l*l)/l)/l)*l*l)**30*((l/l**2)/l)**(1/70)/((l/l**(-4))/l**(-5/3)) assuming l is positive. l**(16549/210) Simplify (r*r**(-8)/r*r*r/(r**(-1)/r))**(-26)/((r*r*r*r/((r*r*r*r/(r/((r**(-2)*r)/r)))/r))**(-2/27)*(r**(4/7)/r)/((r**(-5/6)*r)/r)) assuming r is positive. r**(39271/378) Simplify ((((n**(-2/19)*n)/n**(-2/9))/((n**5/n)/n*n**(-6)))**(12/13))**38 assuming n is positive. n**(5632/39) Simplify (((w**(-10)*w*w**(1/3)/w*w)**48)**(-28))**(-27/5) assuming w is positive. w**(-314496/5) Simplify (p**(-6/5)/p*p**(3/2))**(1/5)*(((p/(p**3*p*p*p))/p)/p)/p*p*(p*p**(-2))/p*((p*p*(p**5*p)/p)/p)/(p**(1/6)*p*p) assuming p is positive. p**(-398/75) Simplify (((z*z**(-6/7)/z)/z)/z**(-4/7))**(-38)/(z**(-10)*z/((z/(z*z*z**5))/z)*z*z)**(1/27) assuming z is positive. z**(342/7) Simplify (((y/y**(2/19))/y**(-1))/((y*y*y**(-12)/y)/(y/(y*y**(-1/4)*y*y))))**29 assuming y is positive. y**(24563/76) Simplify (f**(-5)/(f**(1/2)*f))**(2/5)*(f**8*f**5)/((f/(f*(f*(f**8*f)/f)/f*f))/(f*f/f**(-2/11))) assuming f is positive. f**(1187/55) Simplify (n/(n*n/(n**(-2/5)*n)*n)*n*n**(-4)/n)**(-40)*(n*n*n**(-4/5))/n**3*n**7/n**(1/2) assuming n is positive. n**(2207/10) Simplify ((m/m**18)**46*(m/m**(-2/5))**44)**(-21) assuming m is positive. m**(75642/5) Simplify ((((v**1*v)**(-26))**(-9/11))**(-1/51))**(-4/25) assuming v is positive. v**(624/4675) Simplify ((d*d/d**(1/3))**(-10)*(d/((d/d**(5/3))/d))/d**(1/2))/(((d*d/(d**(2/3)/d)*d)/d)**22)**(-2/87) assuming d is positive. d**(-6953/522) Simplify (j**(-2/35)/j*j**(-12)*j/j**(2/53)*j**(-1/7))**(2/29) assuming j is positive. j**(-6486/7685) Simplify (w/w**1)/(w**(-3/4)/w)*(w/(w*w/((w*w*w**(-3/7))/w)*w*w))/w**(-2/13)*((w/w**(-2/9))/(w/w**1))/(w**0/w*w)**(-2/85) assuming w is positive. w**(2285/3276) Simplify ((((((n**(1/6)*n)/n)/n*n)/n)/n)/(n*n/n**(1/2))*(n/n**0)**36)/(n**(-4/9)/(n*n/n**(-8)))**(32/3) assuming n is positive. n**(3890/27) Simplify ((g*g/g**(-2/27)*g*g*g**(-43)/g)**(-8/5))**18 assuming g is positive. g**(17248/15) Simplify (((t*t**0)**33/(t*t/(t**(-8)*t)*t/(t**(1/2)/t)))**(-1/37))**4 assuming t is positive. t**(-90/37) Simplify ((j**(-11)/j**1)/(j**(4/3)/((j*(j*j**(-2/11))/j)/j)))**(17/2) assuming j is positive. j**(-3791/33) Simplify ((((o*(o/(o*o*o/(o*o**3)*o*o*o))/o*o)/o)/o)/(o**(3/5)*o))**(-3/7)/(o**(-2)*o*o/(o**(2/9)/o*o)*o*o**(1/3)*o**3/o*o) assuming o is positive. o**(-809/315) Simplify (q**6/q**(-4)*q**(2/7)/q*q**(-3))/(((q*q**(-1/3)*q*q*q*q)/q)**(1/50)*(q*q**(-4)/q)/(((q/(q/q**7))/q)/q)) assuming q is positive. q**(15973/1050) Simplify ((b**(-1/7)/((b*b**2)/b))/(b**(-3/2)/b**0))/((b*((b**(-3)/b*b)/b)/b)/(b*b**(-3/10)*b*b))**(-5) assuming b is positive. b**(-239/7) Simplify (h**(-2/5)*h**(-3/5))/(h*h**(-
{ "pile_set_name": "DM Mathematics" }
k**3 Collect the terms in -12*h**2 + 63976 + 3*h - 127975 + 63999. -12*h**2 + 3*h Collect the terms in -2*r + 26938979 - 8979658 - 8979662 + 3*r - 8979627. r + 32 Collect the terms in 6*z + 3*z + 4*z + 55042 + 55027 - 110124 + 0*z. 13*z - 55 Collect the terms in -33883*x**2 + 16641*x**2 + 22502*x**2. 5260*x**2 Collect the terms in -1366*k**2 - 6*k**3 + 8*k**3 - 1390*k**2 + 2756*k**2 + 4*k**3 + 3*k**3. 9*k**3 Collect the terms in 34*a**2 + 1294698*a - 88*a**2 - 1294698*a. -54*a**2 Collect the terms in -5734*z**3 + 44717*z - 1550*z**3 - 44717*z - 1953*z**3. -9237*z**3 Collect the terms in -4252 - 186956*z**3 + 186960*z**3 - 113. 4*z**3 - 4365 Collect the terms in -76499*m**3 - 3*m**2 + 3*m**2 + 306235*m**3 - 76535*m**3 - 76589*m**3 - 76494*m**3. 118*m**3 Collect the terms in -653*c**2 + 30*c**2 - 50260*c + 50260*c - 76*c**2. -699*c**2 Collect the terms in -7658*m**2 - 7640*m**2 + 22910*m**2 - 7625*m**2. -13*m**2 Collect the terms in -22*d + 1795*d + 935*d + 105*d + 738*d. 3551*d Collect the terms in -8*b**3 + 0*b**2 - 10*b**3 + 17*b**3 + 0*b**2 - 248*b + 2. -b**3 - 248*b + 2 Collect the terms in 19561*a**3 + 19155*a**3 + 19513*a**3 - 58627*a**3. -398*a**3 Collect the terms in 0*k - 3*k - 7345 + 12*k**2 + 3*k + 7363. 12*k**2 + 18 Collect the terms in -11027*c - 11127*c - 11127*c + 33281*c + 60*c**2. 60*c**2 Collect the terms in -108*m**2 + 108*m**2 - 7*m + 29*m + 3*m**3 - 7*m**3 + 3*m**3. -m**3 + 22*m Collect the terms in -231*d**3 + 233*d**2 + 26*d**2 + 235*d**2 - 492*d**2. -231*d**3 + 2*d**2 Collect the terms in 2192*k + 2144*k + 2213*k - 8770*k + 2212*k. -9*k Collect the terms in -430*x + 67*x + 315*x. -48*x Collect the terms in 8862648*r - 11 + 11. 8862648*r Collect the terms in 32*q + 40*q - 19*q + 19*q + 45*q. 117*q Collect the terms in -1124*j - 139 + 6877*j + 66 + 73. 5753*j Collect the terms in 28*n - 1795 - 1966 - 110*n**2 - 28*n. -110*n**2 - 3761 Collect the terms in -21153*x - 8*x**3 - 48284*x + 6*x**3. -2*x**3 - 69437*x Collect the terms in x + 226*x**3 - 3*x - 457*x**3 - 118 + 118 + 225*x**3. -6*x**3 - 2*x Collect the terms in -176*h + 176*h - 3351*h**2. -3351*h**2 Collect the terms in -1264 - 16*q + 17*q - 4*q - 9*q + 15*q. 3*q - 1264 Collect the terms in m**2 + 78*m**2 - 414*m**2 + 77*m**2 + 81*m**2 + 88*m**2 + 78*m**2. -11*m**2 Collect the terms in 1 + 1054*c**2 - 290*c**2 - 270*c**2 - 183*c**2 - 1 - 287*c**2. 24*c**2 Collect the terms in 17541 + 22*d + 19*d - 61*d + 25*d. 5*d + 17541 Collect the terms in 16*k - 29*k**2 - 25*k**2 - 28*k**2 + 100*k**2 - 30*k**2 - 15*k. -12*k**2 + k Collect the terms in 138*f**2 + 114*f**2 + 61*f**2 - 255*f**2 + 95*f**2. 153*f**2 Collect the terms in 14*s**2 - 24*s**3 + 9*s**2 + 14*s**2 + 57*s**3. 33*s**3 + 37*s**2 Collect the terms in 467427*c**2 - 935098*c**2 + 467549*c**2. -122*c**2 Collect the terms in -6578 - 85*i + 6594 + 650*i + 933*i. 1498*i + 16 Collect the terms in -192*g**2 + 344*g**2 + 26 - 274*g**2 - 166*g**2. -288*g**2 + 26 Collect the terms in 15619119427032*n + 3*n**3 - 15619119427032*n. 3*n**3 Collect the terms in -6669*y**2 - 6685*y**2 + 2*y**3 - 6669*y**2 + 20023*y**2. 2*y**3 Collect the terms in -9732 - 6*i**2 + 2*i**2 + 2*i**2. -2*i**2 - 9732 Collect the terms in 91600*z - 46067*z + 5 + 129356*z - 5. 174889*z Collect the terms in 3*b**2 + 4*b - 25 - 4*b + 12*b**2 - 74*b**3. -74*b**3 + 15*b**2 - 25 Collect the terms in -3488*y + 895*y + 869*y + 879*y + 860*y. 15*y Collect the terms in -823*v**2 + 3155*v**2 + 4086*v**2 - 1126*v**2. 5292*v**2 Collect the terms in -1690 - 1695 - 1689 - 11*q - 1680 + 6754. -11*q Collect the terms in -37*u**2 + 161*u - 80*u + 4 - 83*u - 11*u**2 + 0. -48*u**2 - 2*u + 4 Collect the terms in 712*p**2 + 34 + 506*p - 506*p. 712*p**2 + 34 Collect the terms in 27*q - 36378434733932 + 36378434733932. 27*q Collect the terms in -4 + 41*u + 30*u + 16 - 68*u + 31*u. 34*u + 12 Collect the terms in 19843*t + 4985*t + 1829*t + 9401*t. 36058*t Collect the terms in 8244*q + 5819*q - 18715*q - 26674*q. -31326*q Collect the terms in 4206*z**2 - 203*z**3 - 2129*z**2 - 2075*z**2. -203*z**3 + 2*z**2 Collect the terms in 0 + 22991842*l + 0 - 22991844*l + 0 + 0. -2*l Collect the terms in -4639*r**3 - 4647*r**3 + 9*r + 9294*r**3 - 23*r. 8*r**3 - 14*r Collect the terms in 5*t**2 - 107*t**2 + 6 - 22 + 27 - 4. -102*t**2 + 7 Collect the terms in -27294*q**2 + 27236*q**2 + 578*q - 578*q. -58*q**2 Collect the terms in 4658*k**2 - 1195*k**2 - 1303*k**2 - 1252*k**2 - 1314*k**2. -406*k**2 Collect the terms in -422652*s**2 - 422731*s**2 + 845389*s**2. 6*s**2 Collect the terms in -522568*n - 522423*n + 1044425*n. -566*n Collect the terms in 102102*m + 102104*m + 102088*m - 306295*m. -m Collect the terms in 109 - 36*g - 135 + 65 + 9*g. -27*g + 39 Collect the terms in 73074543*h**3 + 0*h + 1 - 73074532*h**3 + 8*h - 8*h. 11*h**3 + 1 Collect the terms in -271*v**3 - 2066 - 199*v**3 + 2028. -470*v**3 - 38 Collect the terms in -115 - 107 + 243*b - 113 + 435 - 116. 243*b - 16 Collect the terms in -108*n**2 + 337*n**2 - 114*n**2 - 115*n**2 + 334*n**3 + 101. 334*n**3 + 101 Collect the terms in q**2 + 6*q**2 - 61 - 12*q - q**2 - 84 + 226. 6*q**2 - 12*q + 81 Collect the terms in 120*a**2 + 58*a + 42*a + 39*a - 140*a + 79*a**2. 199*a**2 - a Collect the terms in -930*q - 576*q + 2205*q + 0 + 0. 699*q Collect the terms in -242621733*l + 242621733*l - 6*l**3. -6*l**3 Collect the terms in 48*m**2 + 5*m**3 + 100 + 0*m**3 - 4*m**3 - 85. m**3 + 48*m**2 + 15 Collect the terms in -3 + 8 - 11905*s**2 + 1450*s**2. -10455*s**2 + 5 Collect the terms in 225 - 225 + 1885*z**3 + 305*z**3. 2190*z**3 Collect the terms in 31*j**2 + j - 38 - 3*j**2 - 23 - 5*j**2. 23*j**2 + j - 61 Collect the terms in 31047 - 31047 + 1099*x. 1099*x Collect the terms in -43*a**3 - 32*a**2 + 13*a**2 + 9*a**2 + 13*a**2 - 28. -43*a**3 + 3*a**2 - 28 Collect the terms in 1359*v - 440*v + 1259*v - 1 + 3 + 1816*v. 3994*v + 2 Collect the terms in -48*d**3 - 275*d**3 + 79*d**3. -244*d**3 Collect the terms in -25*b**2 - 18523629 + 18523629. -25*b**2 Collect the terms in -179661*t**3 - 176820*t**3 + 356479*t**3. -2*t**3 Collect the terms in 215*l**3 - 743*l**3 - 154*l**3 - 280*l**3. -962*l**3 Collect the terms in -748226*q - 1 - 4390*q**2 + 748226*q. -4390*q**2 - 1 Collect the terms in 9*d**3 - 10*d**3 - d + 177 - 492 + 60 + d. -d**3 - 255 Collect the terms in 366*k + 443*k + 333*k - 231*k - 5 + 144*k. 1055*k - 5 Collect the terms in 111*p + 3381*p + 1605*p + 801*p. 5898*p Collect the terms in 364302*s + 283720*s + 0 + 0. 648022*s Collect the terms in 209551259 - 209551259 - 3*h. -3*h Collect the terms in 191*t - 208*t + 180392 - 180392. -17*t Collect the terms in 163*h - 120 - 485*h + 161*h - 32 + 163*h + 29. 2*h - 123 Collect the terms in 36*x - 74*x + 42*x + 38*x - 109*x + 41*x + 24*x. -2*x Collect the terms in 24 + 83*h**3 - 24 + 0 + 125*h**3. 208*h**3 Collect the terms in 60 + 1027 - 2*t - 226. -2*t + 861 Collect the terms in -71*z + 73*z + 9 - 2365*z**2 - 883*z**2. -3248*z**2 + 2*z + 9 Collect the terms in 90*x**2 + 3222*x**3 - 65*x**2 - 3228*x**3. -6*x**3 + 25*x**2 Collect the terms in 65 - 8 - 2*o - 2*o**2 - 36 + 0*o**2 - o**2. -3*o**2 - 2*o + 21 Collect the terms in 48 + 53 + 48 + 34307*s - 149. 34307*s Collect the terms in -c**3 - 14*c**3 + 55630*c**2 + 4 - 55630*c**2 - 7. -15*c**3 - 3 Collect the terms in 3*b - 67795 - 67405 + 135252. 3*b + 52 Collect the terms in 30*c**2 - 268*c**2 - 73 + 9*c**2 + 73. -229*c**2 Collect the terms in 16*t**2 - t**2 - 2147*t - 1 - 12*t**2. 3*t**2 - 2147*t - 1 Collect the terms in 4099309*n**3 + 3964481*n**3 - 793730*n**3. 7270060*n**3 Collect the terms in -16 - 3*h + h + 3*h + 33*h**2 + 27 - 48*h**2. -15*h**2 + h + 11 Collect the terms in -13*x - 3*x - 47*x + 2*x - 12 + 46*x + 5*x. -10*x - 12 Collect the terms in -80112*z**3 + 14*z**2 + 159885*z**3 - 79943*z**3. -170*z**3 + 14*z**2 Collect the terms in -5 - 3230*a + 3230*a - 4827*a**3 + 5. -4827*a**3 Collect the terms in -471665*b**2 + 942953*b**2 + 4*b**3 - 471279*b**2. 4*b**3 + 9*b**2 Collect the terms in -1565*d + 3116*d - 6*d**3 + d**3 + 195 - 1551*d. -5*d**3 + 195 Collect the terms in 256*v**2 - 67*v**2 - 217*v**2 - 44*v**2 + 79*v**2. 7*v**2 Collect the terms in -105*v - 216 + 636 - 215 - 213. -105*v - 8 Collect the terms in 11078*n**2 + 11081*
{ "pile_set_name": "DM Mathematics" }
ve of n**5/60 - n**4/6 - n**3 + 3*n**2. Let x be w(5). Is x at most d? True Let r be 8/((-48)/(-246)) - -3. Is 494/11 != r? True Let z be -5 + -334*(-7)/476. Is z at least -1? True Let i be ((-1)/(-15))/(0 - 4/25012). Let y = i - -417. Let g = 7 - 5. Is g at most y? False Suppose 80 = -5*r - 0*r. Let a(t) = -2*t**2 - 4*t. Let o(v) = -v**2 + 8*v - 5. Let i be o(7). Let x be a(i). Is r equal to x? True Suppose -3*m - 4*z = -5, 4*m - 11 - 5 = 4*z. Let r be (m + -1)*(-390)/(-12). Let l be 767/r - 2/(-10). Is l > 10? True Suppose 3*c - 2*j = 23 - 10, 5*j + 25 = 0. Are c and 15/4 nonequal? True Let w = 14802 - 14805. Suppose -2*s - 3 = 9. Is s greater than or equal to w? False Suppose t + 5*u = 16, -5*t - 3*u + 0*u + 14 = 0. Let f(c) = -c**3 - c**2 + 2*c - 1. Let n be f(t). Which is greater: 0 or n? 0 Let h = -6.7 + -3.6. Let i = h + 10.9. Is -2 at most as big as i? True Suppose 3*g = -2*t + 12, 0 = 4*t + 2*g - 0*g - 16. Suppose -t*w + 8 = -13. Let v = 2 + 3. Which is greater: w or v? w Let v be -1 - (5 + (-4 - 1))/2. Is v less than -18/37? True Suppose y - 16*y = -360. Let c(n) = -n**3 + 24*n**2 + 5*n + 2. Let m be c(y). Is m less than or equal to 123? True Suppose t - 3*m + 0 = 2, 5*t + 2*m = 44. Let p be (4/1424)/((-5)/t). Let r = -904/3115 - p. Which is smaller: 3 or r? r Let z = 1 - 4. Let o = z + 5. Let m be (-3)/o + (6 - 5). Which is smaller: 2/5 or m? m Suppose 5*g - 12 = g. Suppose -3*i - 2 - 4 = 3*m, g*m = -i. Let t be -2 - (m + (-188)/64). Do t and -1 have the same value? False Let w = 7.374 - -1.626. Is w smaller than -2/31? False Let d = -55 - -97. Suppose -9 = -i - 3*t + 9, 5*t = -3*i + d. Suppose 27 = 3*k - 3*x + 5*x, 3*k = -x + 27. Is k at least as big as i? True Suppose -4*i - 4*j = 127 - 663, 500 = 4*i - 5*j. Suppose 22*c = 20*c + i. Let w be 52/c + 124/(-130). Is 1 smaller than w? False Let q be -1 + 6 + 3598/(-720). Do 1 and q have the same value? False Let t = 8/41 + -209/861. Let w(m) = 4*m + 33. Let i = -16 + 8. Let u be w(i). Which is greater: u or t? u Let k(s) = -s + 3. Suppose 0 = -p - 3*i + 26, 0 = 2*p + 2*i - 3*i - 31. Let c be k(p). Let b be (2/8)/(c/(-8)). Which is smaller: b or 1? b Let w(u) = u + 12. Let f be w(-12). Suppose f = -4*d + 3*x - 4, 0 = -0*d - d + 4*x - 1. Is 1 bigger than d? True Let v(m) = m**3 + 2*m**2 + m + 2. Let w be v(-2). Let x = 131674847/606562 - 75642/349. Let g = 3/158 + x. Which is smaller: g or w? w Let m(v) = -20*v + 20. Let a be m(-17). Let q = a - 26279/73. Is q < 0? False Let d = -25 + 30. Suppose -d*k - 26 = -1. Suppose 0 = -4*s + 4 - 24. Is k at most s? True Let w be (-3)/7 + (-85)/(-35). Let d be 1 + w/(1 + 0). Suppose 0 = 5*x - 2*h - 0*h + 76, 5*h + 58 = -d*x. Is x at least as big as -16? True Let q(w) = -3*w - 117. Let m be q(-17). Is -62 < m? False Let o(h) = h + 6. Let k be o(-7). Let z be (2996/4)/k + -3. Let w be -4 + 0 + z/(-200). Which is bigger: 0 or w? 0 Let y = -5/28 - -3/7. Let m(r) = r**3 + 9*r**2 - 12*r + 10. Let o be m(-10). Let c be 16/o + 2/(-6). Which is smaller: c or y? c Let m(y) = -3*y**3 + 2*y**2 - 1. Let x be m(-2). Suppose 3*p = 4*q - 54 + 156, -2*q - 66 = -2*p. Which is bigger: p or x? x Suppose -433 = -7*r - 118. Suppose -18*m = -13*m - r. Which is bigger: 13 or m? 13 Suppose -v - 14 = -14. Suppose 0 = 2*w + c + 28, c + c - 8 = v. Is -18 <= w? True Let u be ((-5)/(-2) - 3)/((-4)/(2800/(-7))). Let i(f) = f - 50. Let w be i(0). Is u bigger than w? False Let m = 271.47 - 269. Let p = -0.47 + 0.3. Let z = p + m. Which is greater: z or -0.1? z Let a be 3*6*(-2)/(-9). Suppose -t + a*t = 0. Let l be (14/(-6))/7 + (-31)/(-57). Which is greater: l or t? l Suppose 5*l + 4*g = 61 + 99, 0 = -l + 2*g + 32. Suppose 4*j - 4*i + l = 0, 2*i + 24 = -5*j - i. Let u be 63/j + (-3)/6. Is -21/2 greater than u? True Let u = 0.01 - -1.99. Let t = 7.21 + -4.21. Which is bigger: u or t? t Let o be 1/2*4*3. Suppose -2*s = -o*s + 4. Let p be (-16 - 564/(-36))/(1/1). Which is bigger: p or s? s Let h be (3/(-2))/((-3)/30). Suppose -4*b - 5*k = 13, 4*b - 27 = k + 2*k. Suppose -63 = -5*g + 5*o - b, 5*g - 2*o - 69 = 0. Is h less than or equal to g? True Let k(b) = b**2 + 2*b + 2. Suppose -3*l = -5*f + 2, 5 = -5*f + 2*l + 3. Let c be k(f). Let d be 5/10 + 10/28. Which is bigger: d or c? c Suppose -11 = -103*u + 104*u - 2*i, -4*u + 16 = 4*i. Let o = 334749/1625072 + 52/2161. Let t = o - 3/16. Is t at least as big as u? True Let t = 0.13 + 3.87. Let o = 3.98 - t. Let j = o - 0.08. Which is bigger: j or 2/3? 2/3 Let k(a) = -a + 34. Let s be k(9). Let x(z) = 5*z**2 + 2*z + 1. Let h be x(2). Is s less than h? False Suppose a = -3 + 10. Let d be (2/a)/((-29)/(-203)). Is d bigger than 3? False Let w = -36 + 36. Suppose -3*l + w = 3. Which is greater: 2/29 or l? 2/29 Let x = 1.1 - -2.9. Suppose 0*k - 2*k - 8 = 0. Let l be k/3*(-2)/(-4). Is x at most as big as l? False Let m be 4/1*5*4/110. Let c be 1 - (-2 + 2)/(-2). Suppose -b = -0 - c. Is m > b? False Let k be -3 - (-3 + 25/9)*15. Is k bigger than -17/21? True Let a = 1635 + -1639. Suppose 4*h = -9 - 11. Let u be h/(1 - 0) - -1. Are u and a nonequal? False Let s = -87.59 - -88. Let j = -1.05 + s. Let y = j - -0.24. Is 0 < y? False Let v be 2/1 - 1/(-1). Suppose -2 = v*a - 5. Suppose a - 4 = -3*m. Is 1 > m? False Let v = -228 - -189. Is v less than 0.2? True Let z = 437.9 + -421. Let y = z + -17.6. Which is bigger: y or 2/7? 2/7 Let g(x) = x**3 + 4*x**2 - x - 6. Let m be g(-3). Let i = 536/115 - -2/345. Which is greater: m or i? m Let o = -174 - -141. Is o less than -3? True Suppose -3*c - 4*n + 90 = 0, 0*c - 2*n = -3*c + 108. Which is greater: c or 35? 35 Suppose 3*b = 2*p - 4*p - 1415, 5*b + 2349 = -p. Let i be (2 - 1)/((-35)/b). Let v = -747/55 + i. Which is bigger: 0 or v? 0 Suppose -k + 69 = -3*j, -11 = 4*j + 9. Let g be (-98184)/k*(-1)/(-4). Let f = g - -455. Which is smaller: -1 or f? -1 Let q be ((-3)/2)/(2 + 1). Let z be (-4 - 4) + -3 + 12 + -3. Is z >= q? False Let t = -1295 - -1150. Are -142 and t equal? False Let v(a) = -5*a + 25. Let f be v(6). Let k be (1/(-2))/(f/10). Which is bigger: -2/25 or k? k Let d be 2 - (1*-1)/1. Let p be (0 + -3)/((-66)/88) - 2. Suppose d*z = 3*j - 9, z + p = -0. Which is greater: j or -3/8? j Let o be (24/36)/(-2) - (-1 - 0). Let q be 2/(-7) - 0/2. Which is smaller: q or o? q Let k(o) = -8 - o**2 + 9 - 11*o - 3*o. Let m be k(-14). Which is greater: m or 2/35? m Suppose 0 = 8*t - 3 - 13. Let i(y) = -y**2 + y. Let o be i(2). Which is bigger: o or t? t Let m = 334/143 - 28/13. Let s = 3/77 - m. Suppose 7*q - 3 = 4*q. Which is bigger: s or q? q Let k(x) = -x**3 + 6*x**2 - 5*x + 2. Let w be k(5). Let u be ((3 + -3)/(-2))/w. Which is smaller: 3 or u? u Let t = 57/106 - 19567/36782. Is t greater than 0? True Let u = -0.043 + 20.043. Let h = u + -22. Are -1/2 and h non-equal? True Let d(m) be the second derivative of -m**7/1260 + m**6/90 + m**5/120 - m**4/4 - 3*m. Let u(c) be the third derivative of d(c). Let n be u(5). Is 1 less than n? False Let t be 3/(-18) + 7/6. Let p(j) = 5*j**3 + 2*j**2 - 1. Let y be p(t). Let g be (y/4)/((-54)/(-8)). Which is smaller: g or 0? 0 Suppose 28*t + 0*t = 28. Let f = -633403/11 - -21346095/374. Let o = f + 507. Is o > t? False Suppose -d + a = -4*a - 441, 0 = 3*d - 4*a - 1356. Let n be d/(-2145) + 8/44. Are -1 and n equal? False Let c be -3 + 0 + 2 - (-1 - 3). Is c at least as big as 14.5? False Let f be (-4)/7*1/274*-7. Which is smaller: f or -1? -1 Suppose -4*v + 1 = w, -w + 0*w + 5 = 2*v. Suppose 0 = h - 1 - w. Is h greater than or equal to 8? True Suppose 0 = 6*a + 47 - 41. Which is smaller: a or -10/61? a Let p(u) = u - 1. Let j be p(6). Suppose -9 = -j*z + 6. Let k = -6 + z. Is -1 < k? False Let j be ((-15)/9 - -1)/(166/249). Which is greater: 2/3597 or j? 2/3597 Let s = 9.7 + 0.3. Which is smaller: s or 26? s Let p = 9 - 4. Let b be 4/(-7) - (-4280)/140. Suppose 5*t + p*m = b, t - 2*t + 2*m + 6 = 0. Is 6 not equal to t? False Suppose -5*o = -3*c - 272 - 70, -65 = -o + 4*c. Which is smaller: 66 or o? 66 Let z = 0.04 - 0.02. Let g = 0.01 - z. Let h = g - 1.99. Which is greater: h or 3? 3 Let h(i) = 2*i - 2. Let a(m) = m**3 - 4*m**2 + 4*m. Let o be a(3). Let b be h(o). Let n = 1/197 + 3147/985. Do n and b have the same value? False Let z = 17.06 + -0.06. Let r = 16 - z. Wh
{ "pile_set_name": "DM Mathematics" }
second smallest value? (a) 4 (b) -0.09 (c) v c Let c = -114 - -110. What is the second biggest value in 0.5, -3/2, c, 1/4? 1/4 Let w = -6/41 + -40/287. Let b be (3/(-9) - 1)*15. Let h be ((-24)/(-60))/((-14)/b). What is the second smallest value in h, -0.1, w? -0.1 Let r = -25 + 17. Let x = r - -8. Which is the second smallest value? (a) 1/5 (b) 2 (c) x a Suppose -8*d + 4*d - s - 22 = 0, -2*d + 4*s - 2 = 0. What is the second smallest value in -2/3, 2, d? -2/3 Let g = -7 - -11. Let i = -9 + g. Let z = 0.8 + 0.2. Which is the biggest value? (a) i (b) z (c) -4/3 b Let q = 12.1 + -12. What is the third smallest value in q, 1/4, 5/3? 5/3 Let j be (-5)/((-10)/6) + (-23)/8. Which is the second smallest value? (a) -1/4 (b) j (c) 1/10 c Let z be ((-56)/98)/((-6)/14). What is the second biggest value in -0.3, z, 5? z Let m be 1 + 0 + 14/(-18). Let q = -0.01 + 0.31. Let g = 3 - 8. Which is the second smallest value? (a) g (b) q (c) m c Let y = 0.1 + 0.1. Which is the smallest value? (a) 2 (b) -25 (c) y b Let i = -1 + 3. Let h(s) = s. Let v be h(5). Which is the second smallest value? (a) 3 (b) i (c) v a Let r = 2.02 + -0.02. Let y = 176 + -526/3. What is the second smallest value in 0.4, y, r? y Let h = -0.5 + 0.5. Let i = h + 1. Let g = i + 1. Which is the smallest value? (a) g (b) 0.5 (c) 2/7 c Let z be (-4)/(-7)*(-119)/(-34). What is the biggest value in -4, -2, z, 0.3? z Let w = -11.5 + 11. What is the third smallest value in -4, 4, -3, w? w Let p = -31 - -61/2. Let m = 47 - 44. What is the third biggest value in m, -0.1, p? p Suppose 3 - 19 = -4*t. Let z be 2 + 1 - (-2 - 0). Let u(y) = -y + 8. Let q be u(7). What is the biggest value in q, t, z? z Let h be (4 - 2)*(-4)/(-24). Let s be 4/(-10) + (-2)/(-5). Let u be s/2 - (-2)/7. Which is the second smallest value? (a) u (b) h (c) -5 a Let z = -24 - -28. Let d = 5.8 + -6. Let y = -2 + 1. Which is the biggest value? (a) y (b) d (c) z c Let y = -0.19 - -0.18. What is the third smallest value in -0.3, y, -1/3? y Let g = 129 + -134. Let i = 7 - 11. What is the second biggest value in i, 3/5, g? i Let y = 34.9 + -35. Which is the second smallest value? (a) 0.1 (b) 2/7 (c) -1/8 (d) y d Let o = 0.05 + 2.95. Let w = 5 + -4.6. Let g = 300/1001 - 2/143. What is the biggest value in w, o, g? o Let y be (-4)/(-16) + (-58)/8. Let m be (2/5)/(y/(-70)). Which is the second smallest value? (a) -5 (b) m (c) -2/13 c Let j = 33 - 34.3. Let m = -0.3 - j. Let p = 25 + -327/13. What is the smallest value in p, m, 4? p Let a be (2 + 6/(-4))*-2. Let c = -0.6 + 0. What is the biggest value in c, a, 1? 1 Let w = -2.4 - -2. Let o = w - -0.2. Which is the biggest value? (a) -5/2 (b) 0 (c) o b Let f = -1 - -1.1. Let p = -120 - -1562/13. What is the biggest value in p, f, -3/2? p Suppose 9*w - 19 = -1. Which is the biggest value? (a) w (b) -4/7 (c) -0.12 (d) 2/13 a Let y = -14 - -10. Let j = 0.1 - -0.1. Let t = -0.4 + -0.1. What is the third biggest value in t, j, y? y Let x = -11.64 + 12. Let v = x + 0.04. Let q = -66 - -65.7. Which is the third biggest value? (a) q (b) 0.5 (c) v a Let j(p) = p + 1. Let h be j(-7). Let n be ((-4)/h)/((-12)/(-54)). Suppose -t = -n*t. What is the second smallest value in -0.3, 2/17, t? t Let l = 3 + 0. What is the biggest value in -5, l, 1/4? l Let y(z) = z**2 - z. Let i be y(-2). Let t be 4/i + 10/(-24). Suppose 15 = -5*r + 2*r. Which is the second biggest value? (a) r (b) t (c) 3/4 b Let n = 167/5 + -34. Let y = 63 - 55. What is the third biggest value in y, n, 0.5? n Let p = -21 - -17. Which is the third biggest value? (a) 2/11 (b) -2 (c) p c Let q = 5.6 + -3.6. What is the second smallest value in 1, q, -3/4? 1 Let u(h) = -2*h**3 + 3*h. Let p be u(-3). Suppose -2*y - 15 = -y + 4*d, 0 = -4*y + 5*d + p. Which is the smallest value? (a) y (b) 3 (c) 2/9 c Let b = 0.4 + -0.8. Let d = 0.41 - -0.09. What is the smallest value in d, 3/5, b? b Let s = -39131/355 + 551/5. Let w = 83/426 + s. Let k be ((-6)/(-90))/(3/(-18)). What is the third smallest value in -3, k, w? w Let p = -2.3 + 2.7. Let w(x) = x - 4. Suppose -4*u - 5*t = -28, -3 = 3*u - 5*t - 24. Let r be w(u). Which is the second biggest value? (a) r (b) -5 (c) p c Let r(i) = -i**3 - 5*i**2 - 3*i. Let j = 2 + -6. Let g be r(j). Which is the third smallest value? (a) 3 (b) -5 (c) g a Let v = -159.4 - -147. Let n = 0.4 + v. Let s = -8 - n. What is the second biggest value in -3/8, s, 0.1? 0.1 Let k = 9.1 - 2.6. Let i = k - 6. Which is the smallest value? (a) i (b) 3 (c) 2 a Let o = -0.8 + 0.3. Let r = 3 + -2.4. Let k = r - 1.6. What is the third smallest value in o, 3/5, k? 3/5 Let y = 0.41 - 0.31. What is the second smallest value in y, 1/8, -5, 5? y Let h be -1 + -1 - 64/(-36). Let a be -2*(-1)/2 - 1. Let y = -2.59 - -0.59. What is the third biggest value in h, y, a? y Let u(n) = n**3 - 4*n**2 + n - 3. Let i be u(4). Let x = 38.8 - 39. What is the second smallest value in -5/2, x, i? x Let b be (1/2)/(12/(-72)). What is the third smallest value in 0.5, b, -2? 0.5 Let j = -0.15 - -0.07. What is the second smallest value in j, 4, 3, -3/8? j Let s = 1.29 - 0.19. Let t = -3.9 - s. What is the second smallest value in 0.5, t, 0? 0 Let p = 204.5 + -204. Let r(z) = -z**2 + 4*z + 7. Let m be r(5). Which is the third biggest value? (a) -0.3 (b) m (c) p a Let o = -271/372 + -2/93. Which is the smallest value? (a) 2/3 (b) 4 (c) -3 (d) o c Let q = 126 + -127. Which is the fourth biggest value? (a) 3/5 (b) 3 (c) 2 (d) q d Let k = -11/14 + 41/70. Which is the third smallest value? (a) -39 (b) k (c) -0.3 b Let l = -46 + 45. Which is the fourth biggest value? (a) 11 (b) 4 (c) -4 (d) l c Let a = -0.1 + 0.1. What is the biggest value in a, -2/15, -4? a Suppose -2*j + 5 + 3 = 0. Suppose 0 = -2*v + 3*w + 6, 0 = -0*v - 2*v - 3*w - 6. Suppose v = 2*u + 2*u. Which is the smallest value? (a) 0.1 (b) u (c) j b Let m be 2/4 + 9332/(-40). Let r = m - -232. Suppose 4*v - 2 = -0*v + 2*b, 0 = b + 5. What is the second smallest value in r, 1, v? r Let i = -20997 + 145757/7. Let p = 175 + i. What is the third smallest value in p, 0.4, -5? p Let o = -19 - -31. Suppose 5*l + v + 68 = -419, 4*v - o = 0. Let k = l - -1664/17. What is the third smallest value in -2/3, 1, k? 1 Let w = 6 - 5.75. Let u = 0.05 - w. Which is the third smallest value? (a) -3/5 (b) u (c) 1/3 c Let q(k) = 2*k - 3. Let y be q(3). Suppose -2*z = z - y. Which is the smallest value? (a) 0.5 (b) z (c) -3 c Let x = -1.5 - 6.5. Let f = -5 - x. Which is the third smallest value? (a) f (b) 1/2 (c) -1/2 a Let s = 1 + -5. Let l = 300677425/451 - 666690. Let t = l - -1/41. Which is the third biggest value? (a) s (b) -0.3 (c) t a Let v = 0.4 - 0.14. Let k = 0.08 + -0.02. Let g = v - k. What is the second smallest value in g, 1/8, 0? 1/8 Let u = -0.06 - -0.46. Let v be (-2)/3 + (-26)/(-21). Let n = -82 - -84. What is the smallest value in v, u, n? u Let u = -44 - -62. Let f be 2/3*u/(-21). Which is the smallest value? (a) -1 (b) -5 (c) f b Let d = -31/4 - -63/8. Which is the second biggest value? (a) -2/5 (b) -5 (c) d a Let w(i) = 3*i - 41. Let u be w(18). What is the biggest value in 4, u, -3, -4? u Let w be -2*2/16 - 60/16. Which is the second biggest value? (a) 4/11 (b) w (c) -2 c Suppose 4*r + 0*r - 16 = 0. Suppose -t = r*t + 15. Let o be 1 + 2 + (-4 - -3). Which is the third smallest value? (a) o (b) -0.1 (c) t a Let i = 0.054 - -0.446. What is the fourth biggest value in i, -2/9, -3/2, 11/3? -3/2 Let p = -0.21 - -0.71. What is the third biggest value in 1, -0.09, p? -0.09 Let v be (-21)/(-15) - (3 - 2). Let y = -0.06 + 3.06. Which is the third smallest value? (a) 3/7 (b) v (c) y c Let j = 22 - 7. Let t = j - 12. What is the biggest value in 0.2, -2/3, t? t Let g = 8 + -5. Suppose -9*s = 2*j - 7*s + 2, -2*j - 4*s = 12. What is the third biggest value in j, 1/6, g? 1/6 Let n = -2.7 - -2. Let j = n - -1.1. Let i = -0.1 - 4.9. Which is the second smallest value? (a) -1/3 (b) j (c) i a Let a = -14 + 10. Let k(d) = d**2 - 9*d. Let w be k(10). Let z(i) = -i**2 + 9*i + 8. Let n be z(w). What is the biggest value in n, 1, a? 1 Let q = -0.8 - -0.9. Let l = -7 + 5. Let m = l + 2.2. What is the second smal
{ "pile_set_name": "DM Mathematics" }
- 30/720*-6? -2/47 Evaluate 10 - ((-51480)/(-2871) - (-1 - -9)). 2/29 What is (-2*(-3)/24)/((-86)/16 - -4)? -2/11 Calculate ((-56)/20)/((-3)/((-105)/14)). -7 What is (-12)/(-11 + 11 - -1)? -12 Calculate (81/(-9))/18*(-150)/(-700). -3/28 Evaluate 18/(-72)*228 - -35. -22 3927/1232 - (61/(-16) + 4) 3 What is (6/4)/(-39*(-240)/3744)? 3/5 What is 9 - 6/24*56? -5 Evaluate (-1)/7 - 1001/(-2548). 1/4 4/(-3)*(-1995)/2926 10/11 What is the value of 3624/216 + 26/117? 17 Evaluate 6/5 + -24*38/1520. 3/5 Calculate 48/(-140)*(27/(-270))/(2/(-50)). -6/7 Calculate (558/(-36) - -26)*4/6*-1. -7 What is ((-210)/(-60))/((-140)/60)? -3/2 Evaluate (2 - -1)*264/(-1144)*4/6. -6/13 Evaluate ((-78)/(-24))/(-13) + 731/2236. 1/13 What is (-33)/165 - (-324)/20? 16 What is the value of (-8*(-11)/(-352))/(2/88)? -11 Calculate (16/(-90))/((-3712)/1160). 1/18 What is (-3)/(-42)*-52*308/(-88)? 13 Calculate (-8)/3 + (8 - 29/((-348)/(-72))). -2/3 Evaluate (-4 - (-1684)/424)/(-4 - (-13)/4). 2/53 Evaluate 3 - ((-17)/((-34)/(-28))*-1 - 9). -2 Evaluate 16/30 + 65/975. 3/5 (9 + -8)*6*-3*28/(-36) 14 Calculate 13/182 + (-4575)/350. -13 (-112)/70*(2 - 5/(-10)) -4 Evaluate 140/210 - 16/27. 2/27 284/(-28)*1 - -11 6/7 What is the value of (-176)/(-288) - 34/68? 1/9 Calculate 27/10 + 8/16*-3. 6/5 What is the value of (-36 + 40)*(-1 + 462/456)? 1/19 What is (-261)/(-30) - (-9)/(-4)*-4*-1? -3/10 What is (-90)/(-330) + (-406)/77? -5 What is the value of (14 - (888/74 - 6/2)) + -38? -33 Evaluate (1050/120)/((-455)/40 + 12). 14 Evaluate (-7569)/(-87) + -54 + 6. 39 What is the value of ((-28)/112)/((-26)/16)? 2/13 Evaluate (-10)/(-30) + (-272)/51. -5 What is (-14)/(-12) + 0 - 460/72 - -5? -2/9 What is the value of ((-357)/10)/7 + (-7 - 639/(-90))? -5 (14/21)/((-7 - -3) + -2) -1/9 What is (26 - 23) + ((-924)/455 - 1)? -2/65 What is 4680/2730 + 2/(56/(-6))? 3/2 0/(-9) + (-1 - 1)*2 -4 3 + -2 - (-4 - -3 - -9) -7 Evaluate ((-2)/(-21))/(12*18/3024)*-6. -8 Evaluate 5 - 5*(-6)/(-30) - 702/171. -2/19 3192/38038*26/4 6/11 Evaluate (-576)/58 + (-2568)/37236. -10 Evaluate (120/3)/2 - (4/(-4) - 7). 28 Calculate (-163 - -141)*(-2)/132 + 62/30. 12/5 ((-11)/(-297))/(-3 - (-30)/9) 1/9 Evaluate 1581/31*(-9)/(108/4). -17 Evaluate ((-178)/(-623))/((-2)/(-182)). 26 What is 4704/48608 + (-158)/31? -5 What is the value of ((-612)/(-612))/(-1 - (-9)/(-2))? -2/11 Calculate (-92286)/203371 + (0 - (-4)/(-34)). -4/7 What is the value of (34 + 0)/((-784)/224 + 6/4)? -17 What is (-2026)/72 - (-14)/63 - 113/1356? -28 What is the value of (-5145)/150 + -3*(-3)/30 + 9? -25 Evaluate (-36)/8 - 670/804. -16/3 Calculate -8*272/1920 + (-1 + -1 - -3). -2/15 (68/(-18))/(-17)*(-2)/4 -1/9 Calculate (2080/(-1456) - (-153)/14)*(-1 - 1). -19 Evaluate (76/19 - (-6 + 4))/((-60)/(-18)). 9/5 (0/(-2))/((-271)/39 - (-22)/(-429)) 0 (2 + 1 - 6)*(-3 + 4) -3 What is -6 + (-5537)/(-196) + (-1)/4? 22 (2/(-6))/((-1467)/149634) 34 (1 + -43)*(-125)/1000 21/4 What is the value of (3 - (-213)/(-6))*(-16)/(-40)? -13 ((-100)/8*-1)/((0 - -9)/18) 25 Calculate (-3 - (-42)/(-18)) + (-14)/21. -6 What is -3 + -2 - ((-158)/22 - 18/(-99))? 2 -7 + -2 - 0 - (546/(-33) - -7) 6/11 What is the value of ((-348)/(-406))/((5 + 3)*(-1)/7)? -3/4 What is the value of 10/(-58 + -22)*-112? 14 4810/(-444) + (1 - (-26)/(-12)) -12 What is the value of (-5)/(2*10/80*-2)? 10 Evaluate 26 + (-716)/32 - 15/6. 9/8 What is 7 - (4 + 2) - (-78)/(-52)? -1/2 Evaluate 42/(-4) - 3/(-4)*(80 - 68). -3/2 64/(-21) + (-26)/9828*-18 -3 -7 - (72/21 - 3 - 5206/665) 2/5 (21/5 - -3 - 7)/(2/20) 2 (93 - 41)/52*(14 + 1) 15 Evaluate (-14)/49 + 2/3 + (-1866)/(-63). 30 What is the value of 2*-2 - (-254 + 243)? 7 17 + -7 - 1 - 55/6 -1/6 Evaluate (-9 + -1)*((-23688)/(-315) - 74). -12 Evaluate ((-1)/(-4) - 85/20)*22/308. -2/7 What is (-253)/(-24 + 47) + -2 + 0? -13 What is 128/1792*(-140)/(-16)? 5/8 (-392)/(-2450) - (-1701)/150 23/2 (-10 - 11732/(-1190)) + (-1)/(-5) 1/17 What is 84/525*(-5)/6*3? -2/5 What is the value of (-110)/935 + (-501)/(-68) + -8? -3/4 (2/(-2))/((-152)/2280 + (-16)/(-15)) -1 What is (-10)/(-108)*(1056/120 - 8)? 2/27 Evaluate (-186225)/15471 - 1/(-27). -12 Calculate -2*(-25)/32 - (15 + (-2868)/192). 3/2 What is (3 + 0)/((-90)/(-150))? 5 What is ((-64)/10)/(-3 + (-697)/(-205))? -16 (-8)/(-20) - (1056/(-88))/((-140)/38) -20/7 (865/(-30) + 29)*-78 -13 What is 650/2366 - (4/4)/((-21)/(-9))? -2/13 What is -4 - (-85)/28 - 2/7? -5/4 What is the value of (-147)/161 + 6/(-69) - 21/3? -8 What is the value of (9312/54)/(-16) - -8*4/(-144)? -11 What is the value of (-8)/40*5 + (-24)/(-15)? 3/5 ((-2)/(-5))/(32/40)*(-2)/9 -1/9 Evaluate ((-32)/(-14) - 2) + (-8640)/37296. 2/37 What is 41/(-3) - 986/(-1479)? -13 Calculate 7/(-7) - (16 + -22) - -11. 16 Evaluate -24*(-8)/(-43 - -11). -6 -8 - -10 - 1040/507 -2/39 -19 + 9 - (-60 + 27) 23 (-165)/198*(-300)/2875 2/23 Calculate (-3002)/(-237) + -1 + 6/(-9). 11 What is the value of 281 + -297 + (-25)/(-1)? 9 Evaluate ((-400)/(-630))/20*9. 2/7 What is (-33)/(-495) + 1517/(-4305)? -2/7 What is the value of ((-72)/(-609))/(-9 + 754/84) + 5? 1/29 What is 78568/(-3220) + (-2)/(-5)? -24 35 - (1470/(-21))/(-7) 25 What is the value of -7 + 18387/2574 - 42/231? -1/26 What is (-38)/(-7) - (-9)/(-21) - 2 - -5? 8 What is (42/36)/(85/(-1530))? -21 (-21)/(-35)*-45 + -1 + 4 -24 What is -5*(205/25 + (-5 - 1) + 0)? -11 What is the value of (-6 + 1)*14/(-112)*-8? -5 What is (180/108)/((128/(-12))/8)? -5/4 Calculate 396/(-594)*18/(-28). 3/7 What is (-14 - 9) + 43 + -35? -15 What is the value of ((-48)/9 - -2)/((-2150)/516)? 4/5 Evaluate (-24 + (-780)/(-36))*-1. 7/3 (-5)/2*(-21 + 1374/66)*-2 -10/11 34153/(-1722) + (-11)/(-6) -18 58/130 - ((-976)/40 + 25) -2/13 What is the value of (-11 - (-20 - -8)) + 13? 14 Evaluate (-5 - 6) + (-873)/(-81). -2/9 Calculate 24/(-6) + (50/(-5))/(-4 + 2). 1 5 + ((-159)/15 - -5) - 46/(-10) 4 What is the value of (-920)/(-2093) - (-2)/(-7)? 2/13 Calculate (-12)/(-88)*((-208)/(-416) - (-22)/(-12)). -2/11 What is the value of ((-25)/(-100))/(4/64*-4)*4? -4 What is the value of ((-12)/10)/(412/1540 + (-4)/22)? -14 Calculate (4 + 15 - 7 - 4)/(-2 + 6). 2 What is the value of (2730/(-45) - 0)/2 - -20? -31/3 Calculate ((-13)/65)/((-3 - 2)/(-425)). -17 Calculate (15 - (-4521)/(-297))*(-15 + 0/3). 10/3 Evaluate (12/(-22))/((81/22)/(-27)). 4 Evaluate ((-80)/(-48) + (-1 - 0))/((-392)/(-441)). 3/4 What is the value of 36/4 - (11 + 4)? -6 (3 + 51/(-2))*160/240 -15 (-5*20/4250)/((-3)/15) 2/17 Calculate ((-8862)/(-82712))/(3/(-9) - (-11)/(-21)). -1/8 Calculate 3 + ((-202)/18 - -3) + 8 + -3. -2/9 What is (-90)/12 + (-117)/(-26)? -3 What is (-8 - (-595)/68) + (-70)/104? 1/13 (-5)/(5/(-12)) - (-30)/((-150)/35) 5 Evaluate 10/(-20)*-14 + 67/(-9). -4/9 Calculate 6/14 - 151/(-7) - (31 - 23). 14 (18/60)/(2/(-11) - 42/132) -3/5 What is 213/(-15336)*(-43 + 3)? 5/9 Evaluate (-539)/(-378) + 56/756. 3/2 What is the value of 20*34/52360*(-7)/(-2)? 1/22 What is -1*21/3*(-2 - -3)? -7 Evaluate 15/75 + 22/(-60) - 22/12. -2 What is the value of ((-27)/(-12))/(77 - 83)? -3/8 What is the value of (84/(-16) + 6)*(-592)/(-333)? 4/3 Calculate (1526/436)/((-315)/(-6)). 1/15 (-1)/((923/156)/71) -12 What is ((-1)/2*-2)/(217/(-2170))? -10 Calculate 120/91 + 4/64 + (-3270)/6240. 6/7 Calculate ((-16)/78)/((-2 + -1)*12/54). 4/13 What is the value of (-946)/172*8/(-132)? 1/3 What is 7 + -17 + 29 + -19? 0 Evaluate 17329/461734 + (-3 - -1)/28. -2/59 (-8 + 18)/((-8)/(-42)*(-21)/(-6)) 15 Calculate (6/84)/(203/98 - 2). 1 Calculate (-4)/(-34) + (-40 - 23127/(-663)). -5 Calculate (-14 - 704/(-48))/(2/(-18)). -6 22/(-7) - -3 - (4633/(-287) + -14) 30 Evaluate ((-384)/112)/((-57)/266). 16 Calculate 15/(-1800)*-15*13/26. 1/16 What is the value of (-735)/(-70)*(-10)/(-7)? 15 Evaluate (7/(-14))/(61/2440). -20 What is the value of ((-3300)/(-228))/(-5) + 3? 2/19 What is (-1)/(((-3)/49)/((-486)/378))? -21 (8/24)/((-119)/306) -6/7 What is the value of (-14)/(-70)*(-6 + 8)? 2/5 Evaluate (27/(-12))/((-321)/(-1712)). -12 Evaluate 6/4 - 1458/108. -12 Evaluate 38 - (24 - (-805)/23). -21 Evaluate (-4)/6*((-4)/(-8) - 1)*12. 4 What is 3/6*(-78 + 8 + -8)? -39 What is the value of 2/18 + (-321)/(-27) + 2 + -3? 11 Calculate 39*((-18130)/(-455) - 40). -6 Evaluate 175/(-140)*48/6. -10 Evaluate -28*22/(-308)*1/29. 2/29 What is (
{ "pile_set_name": "DM Mathematics" }