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re 7:12 AM? 1:27 AM What is 160 minutes before 6:27 PM? 3:47 PM How many minutes are there between 6:36 AM and 7:12 AM? 36 What is 141 minutes before 4:54 PM? 2:33 PM How many minutes are there between 12:18 PM and 10:09 PM? 591 How many minutes are there between 11:26 AM and 4:30 PM? 304 How many minutes are there between 9:46 PM and 1:59 AM? 253 What is 520 minutes before 2:33 PM? 5:53 AM What is 211 minutes before 10:41 AM? 7:10 AM What is 171 minutes before 2:32 AM? 11:41 PM How many minutes are there between 9:22 AM and 12:44 PM? 202 How many minutes are there between 9:53 PM and 3:03 AM? 310 What is 657 minutes after 12:56 AM? 11:53 AM What is 277 minutes before 12:31 AM? 7:54 PM How many minutes are there between 4:48 PM and 7:12 PM? 144 How many minutes are there between 3:32 PM and 12:39 AM? 547 What is 69 minutes after 10:53 AM? 12:02 PM How many minutes are there between 6:55 PM and 5:20 AM? 625 How many minutes are there between 2:36 PM and 11:16 PM? 520 What is 643 minutes before 6:38 AM? 7:55 PM What is 405 minutes after 4:56 PM? 11:41 PM What is 82 minutes after 12:06 AM? 1:28 AM What is 568 minutes before 12:44 PM? 3:16 AM What is 313 minutes after 1:45 AM? 6:58 AM What is 121 minutes before 12:10 AM? 10:09 PM How many minutes are there between 7:55 PM and 10:16 PM? 141 How many minutes are there between 1:02 AM and 9:26 AM? 504 What is 677 minutes after 1:12 PM? 12:29 AM How many minutes are there between 8:51 PM and 3:54 AM? 423 What is 49 minutes before 5:51 PM? 5:02 PM How many minutes are there between 3:27 AM and 10:55 AM? 448 What is 292 minutes after 9:53 AM? 2:45 PM How many minutes are there between 4:08 AM and 4:43 AM? 35 What is 295 minutes after 6:52 PM? 11:47 PM What is 185 minutes after 3:09 AM? 6:14 AM How many minutes are there between 8:11 AM and 6:31 PM? 620 What is 647 minutes after 4:30 PM? 3:17 AM How many minutes are there between 9:15 PM and 1:58 AM? 283 What is 405 minutes after 7:42 PM? 2:27 AM How many minutes are there between 7:47 AM and 8:50 AM? 63 How many minutes are there between 8:18 PM and 8:57 PM? 39 What is 91 minutes after 2:53 PM? 4:24 PM How many minutes are there between 6:07 AM and 6:02 PM? 715 What is 249 minutes before 1:46 PM? 9:37 AM How many minutes are there between 6:31 AM and 5:58 PM? 687 What is 41 minutes after 12:59 AM? 1:40 AM What is 503 minutes after 9:32 AM? 5:55 PM What is 468 minutes before 8:20 PM? 12:32 PM What is 530 minutes after 6:44 AM? 3:34 PM How many minutes are there between 8:10 PM and 3:57 AM? 467 How many minutes are there between 9:52 PM and 11:08 PM? 76 How many minutes are there between 1:34 PM and 12:05 AM? 631 What is 702 minutes after 9:36 PM? 9:18 AM What is 681 minutes before 10:00 PM? 10:39 AM How many minutes are there between 10:07 AM and 2:32 PM? 265 What is 457 minutes after 2:30 AM? 10:07 AM How many minutes are there between 3:53 AM and 8:05 AM? 252 What is 69 minutes before 2:38 AM? 1:29 AM What is 473 minutes before 11:44 AM? 3:51 AM What is 528 minutes after 11:36 AM? 8:24 PM What is 670 minutes before 9:08 PM? 9:58 AM What is 341 minutes after 8:06 AM? 1:47 PM How many minutes are there between 4:38 AM and 11:39 AM? 421 How many minutes are there between 10:09 PM and 9:18 AM? 669 What is 36 minutes after 5:15 AM? 5:51 AM How many minutes are there between 8:43 PM and 11:30 PM? 167 How many minutes are there between 7:58 AM and 1:03 PM? 305 What is 553 minutes before 6:01 AM? 8:48 PM What is 52 minutes before 2:26 PM? 1:34 PM How many minutes are there between 11:24 AM and 9:48 PM? 624 How many minutes are there between 6:15 AM and 12:14 PM? 359 What is 611 minutes after 4:16 AM? 2:27 PM How many minutes are there between 4:08 AM and 8:05 AM? 237 How many minutes are there between 3:47 PM and 6:23 PM? 156 What is 443 minutes before 2:35 AM? 7:12 PM What is 120 minutes before 9:35 AM? 7:35 AM How many minutes are there between 7:19 AM and 6:44 PM? 685 What is 644 minutes after 2:04 AM? 12:48 PM What is 402 minutes after 5:28 AM? 12:10 PM What is 25 minutes after 12:13 AM? 12:38 AM How many minutes are there between 4:01 AM and 5:44 AM? 103 What is 251 minutes before 6:01 PM? 1:50 PM How many minutes are there between 9:11 PM and 8:50 AM? 699 How many minutes are there between 7:40 AM and 6:44 PM? 664 How many minutes are there between 3:50 PM and 5:18 PM? 88 How many minutes are there between 9:11 AM and 1:37 PM? 266 How many minutes are there between 7:11 AM and 11:22 AM? 251 What is 302 minutes before 1:25 PM? 8:23 AM What is 320 minutes before 1:07 PM? 7:47 AM What is 508 minutes after 12:14 AM? 8:42 AM What is 692 minutes after 4:58 AM? 4:30 PM How many minutes are there between 9:36 AM and 6:34 PM? 538 How many minutes are there between 8:11 AM and 5:57 PM? 586 What is 643 minutes before 8:37 PM? 9:54 AM What is 507 minutes before 5:42 PM? 9:15 AM How many minutes are there between 11:08 AM and 1:11 PM? 123 What is 605 minutes after 12:58 AM? 11:03 AM How many minutes are there between 7:56 PM and 7:55 AM? 719 How many minutes are there between 9:00 AM and 7:44 PM? 644 How many minutes are there between 11:37 AM and 6:25 PM? 408 What is 607 minutes before 6:53 AM? 8:46 PM How many minutes are there between 7:14 PM and 12:18 AM? 304 What is 250 minutes before 10:32 PM? 6:22 PM What is 144 minutes after 11:47 AM? 2:11 PM How many minutes are there between 6:52 PM and 5:47 AM? 655 What is 559 minutes before 4:10 PM? 6:51 AM How many minutes are there between 11:40 PM and 4:05 AM? 265 How many minutes are there between 10:46 AM and 10:32 PM? 706 How many minutes are there between 3:16 AM and 6:03 AM? 167 What is 688 minutes after 8:16 AM? 7:44 PM How many minutes are there between 11:09 PM and 1:31 AM? 142 How many minutes are there between 2:13 AM and 12:43 PM? 630 How many minutes are there between 10:20 AM and 2:59 PM? 279 How many minutes are there between 12:09 PM and 10:50 PM? 641 What is 331 minutes before 7:22 PM? 1:51 PM What is 325 minutes before 2:53 PM? 9:28 AM What is 585 minutes after 8:45 AM? 6:30 PM
{ "pile_set_name": "DM Mathematics" }
23*c - 32*c = -9. Solve s - 20 = 5*k, c = 2*s + 3*k - 0*k for s. 5 Suppose 7*i = 55 + 316. Suppose -i*d + 58*d - 20 = 0. Solve -d*k = 4*q, -q - q - 4*k = 0 for q. 0 Let q = -33088 + 33092. Solve 0 = 5*a, -347*n + 345*n + q = -2*a for n. 2 Let t(l) = 6*l + 33. Let z be t(-5). Suppose -z*g - 15 = 5*s, 0*g + s + 3 = -g. Solve g = 3*b - 9, -4 = 4*u + 2*b + 2 for u. -3 Let z(o) = 2*o**3 - 2*o**2 - o + 9. Let a be z(6). Suppose a - 153 = 15*l. Solve -4*t = -2*i - l, 2*i + i + 3 = 0 for t. 3 Suppose -10*u + 93 + 40 = 43. Solve -4 = -u*m + 12*m - h, 4*m - 5*h - 13 = 0 for m. -3 Let c = 3840 + -3832. Solve -3*f - c*r + 3*r - 29 = 0, 3*f - 5*r = 11 for f. -3 Suppose -857*f + 1008*f = 0. Solve 2*d - 7 = -w, 3*d - 9*w + 14*w - 21 = f for d. 2 Let y be ((-2)/(-2) - 0)*0. Suppose 3*v - 4*k - 13 = 0, 82*k + 1 = 81*k. Solve v*l = 3*m - 4*m - 12, -4*m + 5*l + 37 = y for m. 3 Let k = 527 + -524. Let s = -9 + 13. Solve -v - k*d + 12 = -s*v, 5*v + 4*d = -2 for v. -2 Let n(w) = -2*w - 140. Let l be n(-26). Let d = 108 + l. Solve d = -4*x - 3*t, 7 = 3*t + 19 for x. -2 Let a = -10870 + 10895. Solve -5*y = -2*g + 13, 1 = -2*y + a*g - 20*g for y. -3 Let g be (9/(-2) + 6)*40. Let i = g + -57. Solve -i*v - 8 = 2*j, -3*v + 0*j - j = 7 for v. -2 Let u = 1571 + -1568. Solve -u*h + 0*h - 11 = -2*i, -3*i + 15 = -4*h for h. -3 Suppose 0 = -328*q + 344*q - 64. Solve 2*z = -q, 0*n - 4*z = -2*n + 12 for n. 2 Let n(u) = 2*u**2 + 5*u - 13. Let p be n(4). Suppose 31 - p = -2*o. Solve 4*i - o - 12 = 0, -5*i + 26 = 2*g for g. 3 Suppose 208 = 14*p + 43*p + 37. Solve 36 = -5*z + 4*w, p*z + 1 = -w - 7 for z. -4 Let w be 108/(-10)*80/(-24). Suppose 5*t = -t + w. Let g = -6 + t. Solve -q = 5*u + q - 13, u + 3*q = g for u. 3 Suppose 82*y - 96 = 314. Solve 23*n - 24*n = 0, -2*k - y*n + 2 = 0 for k. 1 Let w(o) = -o**3 - 14*o**2 - 10. Let m be w(-14). Let z be (-46)/m - (-24)/60. Let x be 3 - -1 - (-2 - -4). Solve 5*h + x*t = -4 - 1, -t = -z*h - 5 for h. -1 Suppose -4*h + 86*r = 85*r - 15, 3*h = 3*r + 27. Solve h*b + 8*u - 9*u - 7 = 0, 4 = 2*b + 2*u for b. 3 Let q(c) = -2*c - 14. Let j be q(-15). Suppose 0 = j*a - 24*a + 160. Solve 0*v + 2*v - 12 = -5*y, -5*v - a = 0 for y. 4 Let q(z) be the second derivative of z**4/12 + 2*z**3/3 + z**2/2 + z. Suppose 23*j + 10 = 21*j. Let y be q(j). Solve 2*t + 3*w + y = -12, 4*t + 16 = -w for t. -3 Let d be 12 + (-168)/(-63)*((-27)/(-2))/(-9). Solve 5*r = -4*m + 6, -23*m = -2*r - 22*m - d for r. -2 Let g(x) = 3*x + 9. Let v be g(1). Suppose -v*q + 7 + 41 = 0. Solve -4*y + 11 = -p, -y + 4 = -q*p - 10 for p. -3 Suppose 6*s - g + 16 = 11*s, 5*s = g + 4. Solve -19 = -5*y + f, 0 = s*y - 0*f - 4*f + 14 for y. 5 Suppose 0 = 3*s - 2*f - 0*f - 70, 2*s = -2*f + 40. Let r = s + -22. Solve r = -2*c - 4*u + 4, 2*c - 3 = -7*u + 2*u for c. 4 Suppose -3*w + 0*w = -6. Suppose -113*z + 7 = p - 111*z, -z = -5*p + 13. Solve w*i + 11 = y, -4*y + p = 5*i + 11 for y. 3 Suppose 0 = 3*s + 5*t - 5, 8 = 5*s + 5*t - 7. Let z = 79 + -37. Let h be z/105 + 16/10. Solve h*y + 11 + s = -3*g, -g + 3*y = -2 for g. -4 Let v(s) = -s**3 + 85*s**2 - 86*s + 168. Let w be v(84). Solve 2*d = 0, -5*r + 5 = -w*d + 3*d for r. 1 Let t(u) = -2*u**2 + 3*u - 6. Let l be t(5). Let n be 6/(-72) - 4216/96. Let o = l - n. Solve -5*w + 27 = -3*b, -o*w + 3*b = w - 24 for w. 3 Suppose -53 = -4*j - 3*u, -2*j = -2*u - 14 - 16. Solve 2*f = h - 4, -j*h + 9*h = -4*f - 2 for f. -3 Suppose 31*m - 216 = 28*m. Let x = 26 + m. Let g = 123 - x. Solve -4*a = 5*d + a + g, 0 = a + 5 for d. 0 Let s = 123 + -117. Solve -3*x + 2*w = s*w - 5, 0 = 3*w - 15 for x. -5 Suppose -17*k - 27*k + 17*k = -162. Solve 6*d - 3*i + k = 9*d, d + 5*i = 18 for d. -2 Let x be 4 + -1 + -4*(-2 - -1). Let w be 8/(-1)*x/(-140)*5. Solve u - 20 = 4*k + 3, w*u = -3*k - 9 for u. 3 Suppose 30 = 4*c + c. Suppose 3*r + 3*n + c = 0, 0 = -3*r + 4*n + 1 + 14. Solve -k + 18 - r = 5*z, z - 5*k - 19 = 0 for z. 4 Suppose 21
{ "pile_set_name": "DM Mathematics" }
Simplify g*g**(1/15)*(g*g/(g*(g*(((g*g/(((g/(((g*g**5)/g)/g))/g)/g))/g)/g)/g)/g))/g assuming g is positive. g**(-44/15) Simplify (p**7*p/p**9)/(p**(1/2)/p**(3/10)) assuming p is positive. p**(-6/5) Simplify (u**(-3/7)*u/(u*(u/(u**(2/5)/u))/u*u*u))/(u*u**(-4)*u*u*u*u**7) assuming u is positive. u**(-351/35) Simplify g/g**(-22)*g**(-3/4) assuming g is positive. g**(89/4) Simplify (v**0/v*v/v**3)**(-8/13) assuming v is positive. v**(24/13) Simplify (o**1)**(-3)*o**(-2/17)/(o*o**(7/4)) assuming o is positive. o**(-399/68) Simplify ((z/(z/(z/(z/(z*z/(z*z/(z/z**(-3/8)))*z)))))/(z/z**(-5)))**10 assuming z is positive. z**(-145/4) Simplify ((c**0/c)/c*(c/c**(-2)*c)/c)/(c**(1/5))**(1/40) assuming c is positive. c**(199/200) Simplify ((h*((h/((h/(h*h**(-3)))/h*h*h))/h)/h*h)/h)**31/((h*(h/h**(4/7)*h)/h*h)/h*h**(-2)) assuming h is positive. h**(-864/7) Simplify ((k**(-4)*k)/k)**(10/3) assuming k is positive. k**(-40/3) Simplify (k/((k/(k*(k*(k**(-28)*k)/k)/k)*k*k)/k))/((k/((k/((k/k**5)/k))/k))/k) assuming k is positive. k**(-23) Simplify p**(5/2)*p*p*p**(2/3)*(p**(-1)/p*p)**(5/9) assuming p is positive. p**(83/18) Simplify (b/b**4*b*b*(b*b**(3/8))/b*b)/(b**(-1/2)/b)**(5/7) assuming b is positive. b**(81/56) Simplify (g**(-2/3)*g**(2/5)*g)/(g**(-4)/(((g*g*g/(g/(g/(g*g**(-2/11)))))/g)/g*g)) assuming g is positive. g**(976/165) Simplify a*a/(a*a/a**6)*a**18 assuming a is positive. a**24 Simplify (w/(w*w**(-3/7))*w**(1/3))/((((w*w**(-1/6)/w)/w)/w*w)/w**0) assuming w is positive. w**(27/14) Simplify (q*(((q/(q*(q**2/q)/q))/q*q)/q)/q)/(q*q**(-30)*q) assuming q is positive. q**27 Simplify (g*g*g*g**(-1)/g)/(g**(-1/17)*g) assuming g is positive. g**(1/17) Simplify p*p*p*(p/(p*p**(-5))*p*p)/p*p**(3/2)*p*p*p*p/p**2*p*p/(((p/(p/(p/((p/(p*p**2)*p*p)/p)*p)))/p)/p) assuming p is positive. p**(27/2) Simplify (l**(-1/11)/l*l)**(-14) assuming l is positive. l**(14/11) Simplify (h/(h/h**4))/(h**(-7)*h)*((h*(h**(2/7)*h*h)/h)/h)**(-6) assuming h is positive. h**(16/7) Simplify (r**1*r*r**(-2)/r)**(-8/7) assuming r is positive. r**(8/7) Simplify (m*m/(m*m*m**(1/16)))/((m/(m*m*m*m/(m/(m/(m/(m**(-46)/m))))*m*m*m))/m) assuming m is positive. m**(-657/16) Simplify ((i*i**2/i)/i**(2/3))**(2/115) assuming i is positive. i**(8/345) Simplify (p*(p*p*((p/p**5)/p)/p)/p*p*p*p/((p*p/(p**(-2/7)/p*p))/p))/(p*p**(2/3))**(-1/45) assuming p is positive. p**(-425/189) Simplify o**(-4)/(o/(o*o**(2/5)))*((o/o**(-1/4))/o)/(o*o*o/(o*o*o/o**4)) assuming o is positive. o**(-147/20) Simplify (p**(-8)/p*p)/(p**(-7)*p)*p**2/p**(-2/15) assuming p is positive. p**(2/15) Simplify x**27*x*x**(12/7)/x assuming x is positive. x**(201/7) Simplify (t/(t**9*t)*t)**(-42) assuming t is positive. t**336 Simplify ((k*k/k**(2/9))**(-2/83))**(8/17) assuming k is positive. k**(-256/12699) Simplify (j**(1/6)*j**(-1))/(j*j**1)**(34/7) assuming j is positive. j**(-443/42) Simplify (q**2)**(-34) assuming q is positive. q**(-68) Simplify (n**(2/15))**(-2/5) assuming n is positive. n**(-4/75) Simplify q**(2/17)/q**2*q**(-2/7)*q**2 assuming q is positive. q**(-20/119) Simplify (r/(((r/r**(-1/3))/r)/r)*r*r)**48/((r**(-7)*r)/r*(r/r**(4/7))/r) assuming r is positive. r**(1285/7) Simplify z*z**(-13)/z*z*z/((z**(-3/8)*z*z*z)/z*z*z) assuming z is positive. z**(-117/8) Simplify (i*i*(i**(-41)*i*i*i)/i*i)/i*i/i**48 assuming i is positive. i**(-84) Simplify (((s/s**(-3)*s)/s)/s)**(2/85) assuming s is positive. s**(6/85) Simplify (u/(u*u**(-16)*u))/(u*u**(-26)) assuming u is positive. u**40 Simplify (c**(-3))**(-6/5) assuming c is positive. c**(18/5) Simplify (v/(v/(v*(v/v**8*v)/v*v)))/v**(-7)*v/(v/v**(-1/5))*v/(v/v**(-2)) assuming v is positive. v**(-1/5) Simplify (l**(16/7)/l*l)/l*l**17/l assuming l is positive. l**(121/7) Simplify (t**(2/11)*t)/(t**(-1/3)/t)*t**(-3)*t**(-7) assuming t is positive. t**(-247/33) Simplify (l/(l*l**(3/7)*l))/(l/(l**7*l*l))*l**0*l**(-2/3) assuming l is positive. l**(124/21) Simplify r**(-2/99)*r/(r/(r/((r/(r**(-2/55)*r))/r))) assuming r is positive. r**(962/495) Simplify (m**(-12)/m)/m**(-2/41) assuming m is positive. m**(-531/41) Simplify (s**(-1/2))**(4/5)/(s*s**(-2/15)*s*s**3) assuming s is positive. s**(-79/15) Simplify (s*s**(-10)*s**(-1))**(1/5) assuming s is positive. s**(-2) Simplify b**(3/7)/(b/b**(-4/7)) assuming b is positive. b**(-8/7) Simplify (((a/a**(2/45))/a*a)/a)/a**(-33) assuming a is positive. a**(1483/45) Simplify (s**(-1/4))**48/((s*s**(-6))/s*s**(-2/
{ "pile_set_name": "DM Mathematics" }
-2750287 Find the third derivative of 4*z**6 - z**5 - 24729*z**4 + 548*z**2 + 96. 480*z**3 - 60*z**2 - 593496*z Find the second derivative of 88395*b**3*f**2 - 76409*b**3 + b*f**5 + 2*b*f wrt f. 176790*b**3 + 20*b*f**3 Find the second derivative of -48*d**2*n - 563*d**2 + d*n + 5*d + 9*n - 54 wrt d. -96*n - 1126 Find the first derivative of -147109*r + 224935. -147109 Differentiate -16*d**2*n + 2*d*g*n**2 - 38*d*g + g*n**2 + g + 7633 with respect to d. -32*d*n + 2*g*n**2 - 38*g What is the second derivative of -369209*w**5 - 72882*w? -7384180*w**3 Differentiate 2*i**2 + 2398*i*q + 98463*q wrt i. 4*i + 2398*q Differentiate -4*p**3*v + 643*p**3*x - 5160*p**2*v*x - 4*p**2*x wrt v. -4*p**3 - 5160*p**2*x What is the derivative of -29*p**4*r**2 - 1589*p**4*r + 3*r**2 - 188*r + 1 wrt p? -116*p**3*r**2 - 6356*p**3*r What is the third derivative of 3332*i**5 - 3*i**2 + 1871? 199920*i**2 Find the third derivative of -281122*y**6 + 69*y**2 + y - 99 wrt y. -33734640*y**3 Find the first derivative of -179998*u - 205348 wrt u. -179998 What is the second derivative of 1209741*g**3 - 4*g - 152830 wrt g? 7258446*g What is the second derivative of 8701*j**2*m*z + 15*j**2*z**2 - 2*j*m*z**2 - 21337*j*z**2 + 2*m*z**2 - 2*z wrt j? 17402*m*z + 30*z**2 Find the second derivative of -8357*k**2*l**2 - 13*k**2*l + 4*k**2 - 54*k*l**2 + 3500*k*l + k wrt k. -16714*l**2 - 26*l + 8 Differentiate 457616*y + 772341 with respect to y. 457616 Differentiate 1020739*k**3*u + 221902*k**3 + 3*k**2 wrt u. 1020739*k**3 Find the first derivative of -58*c*p**2 + 32*c*p - 3*c + p**2 + 5*p + 93 wrt c. -58*p**2 + 32*p - 3 Find the third derivative of 24*d**3*s**3 + 803*d**3*s + d**2*s**2 + 4155*d*s**6 + 2*d - 195*s**2 wrt s. 144*d**3 + 498600*d*s**3 What is the first derivative of 62126*s + 42799? 62126 Find the first derivative of 995918*q + 157286 wrt q. 995918 What is the second derivative of -3*d**3 + 106310*d**2*y**3 - 673189*d*y**3 wrt d? -18*d + 212620*y**3 Find the third derivative of 13*c**5*n**3 + 77*c**5*n - 100*c**2*n**2 + 32*c*n**3 - 2*c - 2*n**3 wrt c. 780*c**2*n**3 + 4620*c**2*n What is the derivative of -3*j**2 - 68596*j + 160757 wrt j? -6*j - 68596 What is the second derivative of -44*a*x**2 + 3*a*x + 216*x**2 + 2*x - 751 wrt x? -88*a + 432 What is the third derivative of -b**5 + 173561*b**3 - 27552*b**2? -60*b**2 + 1041366 Find the second derivative of -1986902*p**3 + 636639*p wrt p. -11921412*p Find the second derivative of -46804*j**3 + 2*j + 4482. -280824*j What is the third derivative of 3229*q**3 + 5*q**2 + 2*q + 179 wrt q? 19374 What is the second derivative of 41*a**3*u**3 + 159*a**3*u - 187*a*u**3 - 80*a*u**2 wrt a? 246*a*u**3 + 954*a*u Find the first derivative of 243677*m + 195332. 243677 What is the third derivative of 2571418*a*d**3 - 4*a*d**2 + 124780*a - 2*d**2 wrt d? 15428508*a Find the third derivative of 108*j**4 - 1260*j**3 + j**2 - 150585*j wrt j. 2592*j - 7560 What is the second derivative of 998*q**3*t**2 + 29077*q**3*t - 42*q**2*t**2 + 11*q**2 - 15*q*t**2 - 2*q - 2*t**2 - 2*t wrt t? 1996*q**3 - 84*q**2 - 30*q - 4 What is the second derivative of 9*i**5 + 10690*i**3*q**2 - 10*i*q**2 - 6*i*q - 238*q wrt i? 180*i**3 + 64140*i*q**2 Find the third derivative of -1461296*k**3 + 1319526*k**2. -8767776 Find the third derivative of -12*m*u**4 - 10874*m*u**3 + 747*m*u**2 - u**3 - 79*u**2 + 2*u wrt u. -288*m*u - 65244*m - 6 Find the third derivative of -11640*m**3 + m**2 + 16*m + 162 wrt m. -69840 Find the first derivative of -2*q**3*r - 564029*q**3 + 370900*q**2*r + 2*q*r**2 wrt r. -2*q**3 + 370900*q**2 + 4*q*r Find the second derivative of -3*f**2*o*y + 23*f**2*o + 2*f**2*y**2 - f**2*y - 8861*o*y**2 - 15*o*y - 2*y wrt y. 4*f**2 - 17722*o Differentiate -16132*l**4 - 169283. -64528*l**3 Find the second derivative of -221*s**4 - 178*s**2*u + 7*s*u - 38*s + 2*u - 7 wrt s. -2652*s**2 - 356*u What is the first derivative of -246318*t**4 - 318657 wrt t? -985272*t**3 What is the third derivative of 3*p**4 - 234*p**3 + 181965*p**2 wrt p? 72*p - 1404 Differentiate -159514*x + 75464 with respect to x. -159514 Differentiate 12*i**4 - 20*i**3 + 5*i**2 - 857028 with respect to i. 48*i**3 - 60*i**2 + 10*i Find the third derivative of 74438*n**3 - 61*n**2 - 23*n - 5 wrt n. 446628 Differentiate -46050*k*l - 15479*k wrt l. -46050*k Find the third derivative of 3*v**2*z**
{ "pile_set_name": "DM Mathematics" }
hat is the greatest common divisor of c and x? 4 Let n = -512 - -738. Suppose n = w + 6. Calculate the greatest common factor of 88 and w. 44 Let g = 28 + -43. Let w be g/((-33)/6 - -4). Suppose t - w = -t. What is the highest common divisor of 2 and t? 1 Suppose 17*w - 14*w - 1677 = 0. Calculate the highest common factor of 13 and w. 13 Suppose 59 + 330 = 3*x + 5*f, -5*f = x - 143. Let j = x + -210. Let l = 9 - j. What is the highest common factor of 12 and l? 12 Let l be (276/18)/((-1)/3 + 1). Suppose -n + l - 16 = 0. Calculate the greatest common divisor of n and 28. 7 Let a(q) = 2*q**2 - 7*q + 18. Let f be a(3). Calculate the highest common divisor of f and 65. 5 Suppose -5*g + 15 = 0, 4*g - 60 = -n - 0*n. Let p = n + -21. Let r be (81/(-2))/(4/(-24)). What is the highest common factor of r and p? 27 Let g(c) = -80*c + 2. Let j be g(-2). Let z(m) = 8*m + 22 - 5*m - m + 8. Let a be z(-6). Calculate the greatest common factor of a and j. 18 Let l(f) = 13*f**2 - 4*f - 8. Let w be l(5). Let j be 1212/108 + 0 - (-4)/(-18). What is the highest common factor of j and w? 11 Let o = 82 - 52. Suppose -4 = -j + 4. Let n be (j/(-10))/((-2)/25). Calculate the greatest common divisor of o and n. 10 Suppose -4*h = -6*h + 16. Suppose -5*a + 26 = 2*m, 0 = 5*m - m + a - 16. Let u be 1/(m/18) + 2. Calculate the greatest common factor of u and h. 8 Suppose y - 5*y + 40 = -4*g, 3*g - 26 = -4*y. Suppose 67 + 137 = 4*a - 5*r, 2*a + 2*r = 120. Calculate the greatest common factor of y and a. 8 Let b be -1 + -4 - 3/(-3) - -29. Suppose 0 = 3*u + 4*s - 118, 67 = 3*u - 5*s - 15. Let t = u + -9. What is the highest common divisor of t and b? 25 Suppose 30*a - 28*a - 56 = 0. Calculate the greatest common factor of 238 and a. 14 Let d(g) = 2*g**2 + g + 4. Let s be d(6). Let j = 39 - s. Let h = 88 + j. What is the highest common factor of h and 18? 9 Let h(o) = 3*o - 6*o**2 - 4*o**2 + 9*o**2 + 4. Let v be h(3). Let b be 3 - v/(8/(-106)). What is the greatest common divisor of b and 7? 7 Let r = 5 - 28. Let n = 27 - r. What is the highest common factor of 25 and n? 25 Suppose -9*u = -43*u + 2380. What is the highest common divisor of 40 and u? 10 Let q be (-4)/(-10) - (-1314)/15. Let c(l) = 3*l + 2. Let u be c(2). Calculate the greatest common divisor of q and u. 8 Let t be 168/(-196)*63/(-6). Calculate the highest common divisor of t and 81. 9 Suppose -2*m + 28 = 4*h, 3*h = -4*m + h + 32. Let c be 7548/52 - m/39. Let l(g) = 11*g + 3. Let u be l(5). Calculate the greatest common factor of c and u. 29 Let r = 1292 + -1243. Calculate the highest common factor of 154 and r. 7 Suppose 87*z = 91*z - 112. Calculate the greatest common divisor of z and 7. 7 Let k = 1229 - 1179. What is the greatest common factor of k and 1850? 50 Let a be 3 + 2 + -3 + 7. What is the highest common factor of a and 9? 9 Let u be ((-2)/1)/((-1)/(-4)). Let c = 11 + u. Let j(s) = 2*s**2 - 2*s + 1. Let m be j(0). Calculate the greatest common divisor of c and m. 1 Suppose -10*z - 122 = -462. Calculate the greatest common factor of z and 272. 34 Suppose 3*o - 513 = -4*l, 0 = o + 2*l + 2*l - 179. Let m = o + -113. Calculate the greatest common factor of 18 and m. 18 Let w be 18/54*(388 + -1). Calculate the highest common divisor of w and 3. 3 Suppose -6*l = -10*l - 3*r + 93, -r + 47 = 2*l. Calculate the highest common factor of l and 24. 24 Suppose -3*j + 28 = -3*q + 7, 4*j - 5*q = 29. Suppose 3*c = j*c. Let g be (c - 0) + (-64)/(-2). What is the greatest common factor of 16 and g? 16 Suppose -756 = -9*g - 9*g. What is the greatest common factor of g and 18? 6 Let g = -12 - -16. Suppose -z + 3*c = 0, 0 = 2*z - 4*z + 4*c + g. Calculate the highest common divisor of 4 and z. 2 Suppose 0 = 2*l - 4*t + 12, 4*l = -t + 6*t - 9. Let a = l + 6. Calculate the highest common divisor of 4 and a. 2 Let k(l) = -6*l - 80. Let c be k(-28). What is the highest common divisor of 16 and c? 8 Let o be (1 + (-3 - -4))/(2 + -3). Let b = 2 + -10. Let l be (-4)/b - 45/o. What is the highest common factor of 23 and l? 23 Suppose -f = 4*t - 2*t - 2, 5*t = 0. Suppose -c = f*c - 66. Calculate the highest common divisor of 55 and c. 11 Let b(m) = -6*m + 116. Let a be b(8). Calculate the highest common factor of 204 and a. 68 Let h be 3/(-2)*(-104)/6. Let z(a) = -a**2 + 46*a - 428. Let u be z(17). Calculate the greatest common divisor of u and h. 13 Suppose -5*y + o = 3*o - 392, 5*y + 5*o = 380. Suppose 2*f = -3*f + y. What is the highest common factor of f and 8? 8 Let w = 52 - -8. Calculate the greatest common divisor of w and 50. 10 Let c(y) = 5*y**2 - 2*y + 1. Suppose -u - 5 = -6*u. Let q be c(u). Let d be 1 + 0/3 - -3. What is the greatest common divisor of q and d? 4 Let q(k) = 97*k - 1. Let v be q(1). Let s = -27 - -39. What is the highest common divisor of s and v? 12 Let o = 59 + -57. Let i(t) be the first derivative of t**2 + t - 1. Let z be i(o). What is the greatest common divisor of 5 and z? 5 Let r = 12 - 15. Let y be r + (-2 - -7) - -4. Suppose 128 = 5*a - 3*d - 124, 3*a = -3*d + 132. What is the highest common divisor of y and a? 6 Suppose 153 = m + 5*z, m + 0*z - 169 = 3*z. Calculate the greatest common divisor of 1 and m. 1 Let g = 177 + -160. Calculate the highest common divisor of 34 and g. 17 Let x = 846 + -346. What is the highest common divisor of x and 25? 25 Suppose 815 = 26*d + 35. Calculate the highest common divisor of 300 and d. 30 Let z be (-6)/(-9)*(-81)/(-18).
{ "pile_set_name": "DM Mathematics" }
4, i: 2, v: 7, g: 1}. Give prob of picking 1 i and 2 x. 3/91 Three letters picked without replacement from {e: 3, p: 1, g: 2, n: 4}. What is prob of picking 1 n and 2 e? 1/10 Calculate prob of picking 3 x when three letters picked without replacement from xxmxmxcmmccmccmmm. 1/170 Calculate prob of picking 2 y when two letters picked without replacement from {p: 1, y: 2, e: 1}. 1/6 What is prob of picking 4 g when four letters picked without replacement from {n: 1, g: 10, j: 9}? 14/323 What is prob of picking 4 l when four letters picked without replacement from {l: 12, v: 1}? 9/13 Two letters picked without replacement from rrrlrrrrlrrrrrl. Give prob of picking 1 r and 1 l. 12/35 What is prob of picking 2 u, 1 b, and 1 q when four letters picked without replacement from {b: 4, u: 2, y: 2, q: 12}? 16/1615 Four letters picked without replacement from rxczzzzzz. What is prob of picking 1 c and 3 z? 10/63 Two letters picked without replacement from {p: 8, t: 1, q: 2, j: 5, o: 1}. What is prob of picking 2 p? 7/34 Calculate prob of picking 1 c, 1 r, 1 y, and 1 k when four letters picked without replacement from yycrrkyrryykyyryyryr. 28/969 Three letters picked without replacement from {g: 3, t: 3, m: 3, k: 1}. What is prob of picking 1 k and 2 t? 1/40 What is prob of picking 4 n when four letters picked without replacement from {n: 8, q: 2, a: 8}? 7/306 Two letters picked without replacement from {l: 4, f: 1, k: 1, o: 3, w: 1, s: 2}. What is prob of picking 1 l and 1 f? 2/33 Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {t: 1, b: 1, p: 2, z: 1}. 1/10 Two letters picked without replacement from {q: 3, k: 5, x: 2, z: 1, b: 2, e: 7}. Give prob of picking 2 e. 21/190 Calculate prob of picking 2 m when two letters picked without replacement from mzmmzmzzzmzmzmmzmz. 4/17 Three letters picked without replacement from snnunnnnooonossnuno. What is prob of picking 1 n, 1 o, and 1 s? 45/323 Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {r: 1, o: 1, t: 2, i: 5, v: 5, w: 1}. 2/105 Two letters picked without replacement from tye. Give prob of picking 2 y. 0 Four letters picked without replacement from pppqqpqjqj. Give prob of picking 2 j and 2 q. 1/35 Two letters picked without replacement from {e: 3, l: 2, m: 2, a: 4, j: 2}. What is prob of picking 1 e and 1 m? 1/13 What is prob of picking 1 v and 1 d when two letters picked without replacement from {j: 4, g: 2, d: 1, w: 1, v: 1, z: 3}? 1/66 Three letters picked without replacement from jvmrm. Give prob of picking 1 m, 1 v, and 1 r. 1/5 Two letters picked without replacement from ylyyywfwyioiyiyyyyy. Give prob of picking 1 y and 1 f. 11/171 Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {z: 1, r: 2}. 2/3 Four letters picked without replacement from {x: 6, n: 9, r: 4}. Give prob of picking 1 n, 2 x, and 1 r. 45/323 Four letters picked without replacement from immmimi. Give prob of picking 2 m and 2 i. 18/35 Two letters picked without replacement from {s: 2, u: 11, j: 2}. What is prob of picking 1 u and 1 j? 22/105 Two letters picked without replacement from hojvoohhvkh. What is prob of picking 2 h? 6/55 What is prob of picking 1 h and 1 p when two letters picked without replacement from {s: 1, p: 2, q: 5, h: 1, m: 1, y: 7}? 1/68 Four letters picked without replacement from eekkeksskeskkskk. What is prob of picking 3 k and 1 e? 8/65 Four letters picked without replacement from {s: 3, d: 2, v: 3, y: 3, n: 1, j: 3}. Give prob of picking 2 d and 2 s. 1/455 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from vyribyw. 1/21 Calculate prob of picking 2 t when two letters picked without replacement from {v: 14, t: 4}. 2/51 What is prob of picking 1 c and 1 l when two letters picked without replacement from {m: 1, t: 1, l: 1, w: 1, g: 1, c: 2}? 2/21 What is prob of picking 2 n and 1 u when three letters picked without replacement from {y: 3, e: 4, u: 4, n: 7}? 7/68 Two letters picked without replacement from {q: 6, l: 13}. Give prob of picking 2 q. 5/57 What is prob of picking 2 f, 1 e, and 1 j when four letters picked without replacement from ifyjxef? 1/35 Four letters picked without replacement from {v: 1, x: 1, t: 2, f: 1, q: 3, l: 4}. Give prob of picking 3 q and 1 l. 4/495 Calculate prob of picking 2 z when two letters picked without replacement from {e: 2, s: 8, z: 2}. 1/66 Two letters picked without replacement from {o: 1, h: 4, v: 4, g: 1}. Give prob of picking 1 o and 1 v. 4/45 Three letters picked without replacement from fdjsdkddfrdssskjs. What is prob of picking 2 d and 1 r? 1/68 Calculate prob of picking 1 s, 2 p, and 1 o when four letters picked without replacement from louopoouuusoupu. 1/273 Three letters picked without replacement from {b: 2, p: 1, i: 2, s: 9}. Give prob of picking 1 s and 2 b. 9/364 What is prob of picking 3 k when three letters picked without replacement from kkkk? 1 Calculate prob of picking 2 n and 1 e when three letters picked without replacement from ebnkneuntenb. 9/110 Two letters picked without replacement from {r: 2, u: 3, i: 1, q: 2, b: 4}. What is prob of picking 1 r and 1 q? 2/33 Two letters picked without replacement from {x: 6, y: 4, n: 1}. Give prob of picking 1 x and 1 n. 6/55 Three letters picked without replacement from {q: 3, d: 4, b: 4, j: 1, u: 1, o: 5}. What is prob of picking 1 j and 2 o? 5/408 Two letters picked without replacement from pppvewpvpwpppp. Give prob of picking 1 w and 1 p. 18/91 Four letters picked without replacement from ffvvjfbvwfkb. Give prob of picking 2 b, 1 j, and 1 v. 1/165 What is prob of picking 1 h, 2 f, and 1 k when four letters picked without replacement from fkkhhfhhhhfhfhhhkhhh? 78/1615 Calculate prob of picking 1 q and 1 b when two letters picked without replacement from rbqaw. 1/10 Four letters picked without replacement from {w: 4, y: 6, x: 4, l: 3, t: 1, j: 1}. What is prob of picking 1 x and 3 l? 1/969 Two letters picked without replacement from qqqqcee. Give prob of picking 2 e. 1/21 Two letters picked without replacement from {y: 1, o: 1, b: 1, v: 1, l: 1, e: 2}. Give prob of picking 1 e and 1 l. 2/21 Two letters picked without replacement from {g: 7, z: 3, h: 2, f: 2, r: 3, j: 1}. What is prob of picking 2 h? 1/153 Two letters picked without replacement from usussu
{ "pile_set_name": "DM Mathematics" }
2 - 2*o - 2*w**2 + 55 wrt o? -84*o**2 + 6*o*w**2 - 114*o*w Find the third derivative of 79*s**6 + 54*s**5 + 196755*s**2. 9480*s**3 + 3240*s**2 What is the first derivative of 195039*m*x**4 - 2*m*x**3 - 320530*m wrt x? 780156*m*x**3 - 6*m*x**2 Find the third derivative of 10*g**2*h**3*w**3 + 30748*g**2*h**3 - g**2*h**2*w**3 - 10*g**2*h**2*w**2 + 2428*g*h**2 + 2*g*h*w**3 wrt h. 60*g**2*w**3 + 184488*g**2 Find the second derivative of 5557*r**2 - 44330*r wrt r. 11114 Find the first derivative of -2*l**3*q**3 - 42462*l**3*q*t - 4*l**3*t + 7*l*q**2 + q**3*t + 2781*q**3 wrt t. -42462*l**3*q - 4*l**3 + q**3 Differentiate -q*y + 55045*q + 22325*y**2 with respect to y. -q + 44650*y What is the third derivative of -126931*h**3 - 469335*h**2 + 2 wrt h? -761586 Differentiate -2*l*m**3*u*x - 58*l*m**3*x + 13*l*m*x - 90673*m**2*u*x + 144*m*x wrt u. -2*l*m**3*x - 90673*m**2*x What is the first derivative of 2476*l**3 + 39*l**2 + 146672? 7428*l**2 + 78*l What is the third derivative of 464*c**3*h**2*j + 60*c**3*h*j**2 + 2*c**2*h**2*j**2 + 2*c*j**2 + 101*h**2*j wrt c? 2784*h**2*j + 360*h*j**2 Differentiate 2*d**2*l - 31496*d**2 - 2926*d*l - l with respect to l. 2*d**2 - 2926*d - 1 Differentiate 7840*h**3*i**2 + 1810165*h**3 - 49*h*i**3 with respect to i. 15680*h**3*i - 147*h*i**2 What is the third derivative of 1954*w**5 + 2*w**4 + 3*w**3 - 5*w**2 - 2421*w? 117240*w**2 + 48*w + 18 Find the second derivative of -k**3*z**3 - 294*k**3*z + 10*k**2*z**3 - 2*k**2 + 2*k*z + z**2 - 6*z wrt z. -6*k**3*z + 60*k**2*z + 2 Find the second derivative of -3*o**3 + 3899*o**2*r**2 + o*r**2 - 28*o*r - 108*r**2 + 2*r wrt o. -18*o + 7798*r**2 Find the second derivative of 16*a**3*j**5 + 257*a**3*j**2 + 12*a**3*j - 3*a*j**2 - 2*a - 28 wrt j. 320*a**3*j**3 + 514*a**3 - 6*a Find the third derivative of 396*b**3*k*m - 10*b**3*k + 19*b**3*m - 15041*b**2*k*m - 5*b**2 - 3*b*k wrt b. 2376*k*m - 60*k + 114*m What is the second derivative of -6118*m**5 - m**4 - 5*m**3 + 287915*m + 2? -122360*m**3 - 12*m**2 - 30*m What is the third derivative of 59522*p**3 + 3*p**2 + 44642*p wrt p? 357132 Find the first derivative of -114*b**3*d**2 + 489*b**3*d + 121*b**3 + b**2 + 13*b*d + 51*b + 1 wrt d. -228*b**3*d + 489*b**3 + 13*b Find the first derivative of -81*f**3*r**2 - 491*f**3*r + 46172*r**2 wrt f. -243*f**2*r**2 - 1473*f**2*r What is the third derivative of -4172204*f**3*n - 6275173*f**2*n wrt f? -25033224*n What is the second derivative of -34158*g**3*j*p - 3*g**2*j*p - 5*g*j*p + 3*g*j + 2*g*p - 106*j*p wrt g? -204948*g*j*p - 6*j*p What is the second derivative of -150*u**5 - 2*u**4 - 51*u**2 - 95214*u? -3000*u**3 - 24*u**2 - 102 What is the second derivative of 26201*o**4 - 110*o + 17 wrt o? 314412*o**2 Find the third derivative of -20609*l**3 - l**2 - 3*l - 3525 wrt l. -123654 What is the third derivative of -7*o**3*x**3 + 2*o**3*x**2 + 500091*o**3*x + 60548*x**3 wrt x? -42*o**3 + 363288 What is the first derivative of -3*c**2 - 150873*c + 1890461? -6*c - 150873 What is the third derivative of 9*h**5 + 51*h**4 - 248*h**3 + 97676*h**2 wrt h? 540*h**2 + 1224*h - 1488 Find the second derivative of 195560*z**2 + 70109*z wrt z. 391120 What is the first derivative of 25*j*q**2 + 679*j*q - 16142*j + q**2 + 3*q + 63 wrt q? 50*j*q + 679*j + 2*q + 3 Find the second derivative of 871*i*n*q**2 + 64*i*n*q - 2*n*q + 15*n - 2*q**5 - 7*q**2 + 15*q wrt q. 1742*i*n - 40*q**3 - 14 Find the first derivative of 47479*c**3 - 12*c**2 + 2*c + 3056030 wrt c. 142437*c**2 - 24*c + 2 Find the second derivative of -888155*p**5 + 1078582*p. -17763100*p**3 What is the derivative of 6730*m + 13698? 6730 Find the second derivative of 20*c**2*y**2 + 45*c**2*y + 4*c**2 + 589*c*y**2 - 2*c - 5*y**2 - 3*y wrt y. 40*c**2 + 1178*c - 10 What is the derivative of -11*d**4 - 10*d**3 + 3*d*p + d - 272*p - 49 wrt d? -44*d**3 - 30*d**2 + 3*p + 1 Find the third derivative of 71639*s**4 + 11*s**2 + 2*s + 10 wrt s. 1719336*s Find the second derivative of -144621*a**2*o**3 - a**2*o**2 - 2*a*o**3 - 301*a*o**2 + 7*a + 15*o wrt a. -289242*o**3 - 2*o**2 What is the derivative of -5212*b**3 - 56119? -15636*b**2 Differentiate 6*c**4*t - 2*c
{ "pile_set_name": "DM Mathematics" }
e. g**(87/4) Simplify ((q/(q**(-8)*q))/q**(1/15))/(q/q**(2/3))**18 assuming q is positive. q**(29/15) Simplify (y/(y*y*y**28))/(y*y/y**(-25)) assuming y is positive. y**(-56) Simplify (j**(1/3))**(-2/47)/((j**(-1/6)/j)/j**(2/3)) assuming j is positive. j**(171/94) Simplify (y**(-1/3))**(12/13)*y/y**3*y/((y*(y/y**5)/y*y*y)/y) assuming y is positive. y**(22/13) Simplify (c**(1/16)*c**(-6))/(c*(c/c**3)/c)**(-1/38) assuming c is positive. c**(-1821/304) Simplify v**(4/9)*v/((v*v**(1/5)/v*v)/v*v*v)*v*v*(v**(1/3)*v)**(-2/153) assuming v is positive. v**(2816/2295) Simplify ((p*p**46*p)/p)**(3/2) assuming p is positive. p**(141/2) Simplify (((q*q**36*q*q)/q*q)/q*q)/q**(-18) assuming q is positive. q**57 Simplify (m*m*m**9)/(m*(m**7*m)/m)*m**6*m*m**(-7)/m*m assuming m is positive. m**3 Simplify (c**(-17)*c)/c**(3/23) assuming c is positive. c**(-371/23) Simplify (q**(3/25))**(1/5) assuming q is positive. q**(3/125) Simplify (s*s**11)**(-18/11) assuming s is positive. s**(-216/11) Simplify (h**9*h**(2/7))**(-25/3) assuming h is positive. h**(-1625/21) Simplify r/(r**(-35/2)/r)*r**(-29) assuming r is positive. r**(-19/2) Simplify (q/(q/q**0))**(-12)/((q**(2/3)*q)/q**(-4)) assuming q is positive. q**(-17/3) Simplify n**(-3/2)/n*(n*n**(2/13))/n assuming n is positive. n**(-61/26) Simplify g**16/g**(-3/7) assuming g is positive. g**(115/7) Simplify l**(-8/9)/(l*l**(-22)) assuming l is positive. l**(181/9) Simplify ((m/m**(-6)*m*m)/m**8)/(m**0*m*m*m/(m**(3/11)*m)) assuming m is positive. m**(-8/11) Simplify (k*k**(-14)*k)**(-11/2) assuming k is positive. k**66 Simplify ((i*i**(-4))/i**0)/(i**6*i**(3/4)) assuming i is positive. i**(-39/4) Simplify (f**(1/9))**(-3) assuming f is positive. f**(-1/3) Simplify k**14/((k**19/k)/k) assuming k is positive. k**(-3) Simplify (a/(a/(a/(a/a**(-17)))))**43 assuming a is positive. a**(-731) Simplify (u/(u/(u/(u/(u**14/u))*u))*u*u*u/(u**(-12)/u*u))**(-9) assuming u is positive. u**(-261) Simplify (((w*w**20/w)/w)/w*w*w*w**(-5/6))**(-36/7) assuming w is positive. w**(-690/7) Simplify ((g/g**(-1/4))/(g*g/g**(-8)))**23 assuming g is positive. g**(-805/4) Simplify b**(1/4)/b**(-2) assuming b is positive. b**(9/4) Simplify (i**(-1))**17*(i**1)**(-3/7) assuming i is positive. i**(-122/7) Simplify h*h*h**(2/51)*h/(h/(h/(h/h**17))) assuming h is positive. h**(971/51) Simplify (((m/(m/m**(1/4)))/m)/m**(-1/3))/((m*m*m*m**(-3)*m*m)/m*m**(1/14)) assuming m is positive. m**(-125/84) Simplify (f*f**2*f**(-1))/(f**(1/2)*f**(-3)*f) assuming f is positive. f**(7/2) Simplify (x**(1/17)/(x**(-1/2)/x))**40 assuming x is positive. x**(1060/17) Simplify b**(-1/13)*b**4*b/(b**0*b)*b/(b/b**0)*b assuming b is positive. b**(64/13) Simplify p**(-8/5)/p**(-1/7) assuming p is positive. p**(-51/35) Simplify (r**(2/13))**(-22) assuming r is positive. r**(-44/13) Simplify (c**2)**(-4/11)*c**(3/2)/c*c*c**(-6) assuming c is positive. c**(-115/22) Simplify (z*z*z**(1/2)*z)/(z**(-2)*z)*z**(-2/17)*(z*(z*z**(-2/5))/z*z)/z assuming z is positive. z**(847/170) Simplify y/(y**(-3)*y*y)*(y**6/y)/y assuming y is positive. y**6 Simplify (((t**(2/5)/t*t)/t)**(-7/10))**31 assuming t is positive. t**(651/50) Simplify u**(6/13)*u**24 assuming u is positive. u**(318/13) Simplify (b**(1/6)/b)**(-16) assuming b is positive. b**(40/3) Simplify ((h/h**(-1))**(1/4))**(-8) assuming h is positive. h**(-4) Simplify a/((a/(((a/a**(-7))/a)/a*a*a))/a)*a*a**7*a**(-6/7)*a**(-1/9)/a assuming a is positive. a**(947/63) Simplify (f**0*f)**(-9)/(f**(1/4)*f*f*f**(-2/5)) assuming f is positive. f**(-217/20) Simplify (w/(w/(w**(-1)*w*w)*w)*w)**(-1/3)*(w/w**(-1))**(-15) assuming w is positive. w**(-91/3) Simplify (y**1/y)/((y/y**1*y)/y)*(y*y*y*(y/(y**0*y))/y*y*y)**6 assuming y is positive. y**24 Simplify (n**(-2/35))**(3/5) assuming n is positive. n**(-6/175) Simplify (s**(2/11))**(-26) assuming s is positive. s**(-52/11) Simplify o/(o/o**(-6/7))*o**0*(o*o**(-2/9))**(-38) assuming o is positive. o**(-1916/63) Simplify (x*x*x**11*x*x)**(5/3) assuming x is positive. x**25 Simplify (y/(y/(y**(-2/21)/y*y*y*y)))/(y/y**(-17)) assuming y is positive. y**(-338/21) Simplify ((c*c**0)**(-22/3))**23 assuming c is positive. c**(-506/3) Simplify ((o**(-6/13))**4)**(-50) assuming o is positive. o**(1200/13) Simplify ((t**1)**(2/77))**(-29) assuming t is positive. t**(-58/77) Simplify b**(-3)/b*b**(-4/7) assuming b is positive. b**(-32/7) Simplify ((m/(m*(m**2*m)/m))**(-1/25))**(3/13) assuming m is positive. m**(6/325) Simplify c*c*c*c**(-6)/c*c*c**(-2)*(c/c**(-2/7))**(-3/34) assuming c is positive. c**(-1217/238) Simplify (z/(z*z**(-2/9)*z)*z**(3/5))**(4/7) assuming z is positive. z**(-32/315) Simplify r*(r*r**(-18)*r*r)/r*r*r/(r/r**(3/14))*r assuming r is positive. r**(-179
{ "pile_set_name": "DM Mathematics" }
f 42631, 85218, 127807, 170398, 212991? q**2 + 42584*q + 46 What is the r'th term of -512655, -512813, -512957, -513081, -513179? r**3 + r**2 - 168*r - 512489 What is the d'th term of -15426, -28417, -41422, -54447, -67498, -80581, -93702, -106867? -d**3 - d**2 - 12981*d - 2443 What is the j'th term of 43511086, 43511088, 43511090, 43511092? 2*j + 43511084 What is the t'th term of -483909, -1935684, -4355297, -7742742, -12098013, -17421104? t**3 - 483925*t**2 - 7*t + 22 What is the g'th term of -730, -5970, -20192, -47884, -93534, -161630, -256660? -748*g**3 - 3*g**2 + 5*g + 16 What is the z'th term of 7124, 28629, 64456, 114593, 179028? -2*z**3 + 7173*z**2 - 47 What is the y'th term of 72848, 291161, 655008, 1164383, 1819280, 2619693? -y**3 + 72773*y**2 + y + 75 What is the s'th term of -15674, -62064, -139380, -247622, -386790, -556884? -15463*s**2 - s - 210 What is the q'th term of -9407, -19413, -29421, -39431? -q**2 - 10003*q + 597 What is the h'th term of 50975, 51150, 51323, 51494? -h**2 + 178*h + 50798 What is the p'th term of 104661, 104652, 104639, 104622, 104601, 104576, 104547? -2*p**2 - 3*p + 104666 What is the d'th term of 142, -265, -1328, -3371, -6718, -11693, -18620? -54*d**3 - 4*d**2 - 17*d + 217 What is the n'th term of 2522, 8510, 17708, 30116? 1605*n**2 + 1173*n - 256 What is the y'th term of -29055939, -29055940, -29055941, -29055942, -29055943? -y - 29055938 What is the l'th term of 8239, 16534, 25015, 33778, 42919, 52534, 62719, 73570? 16*l**3 - 3*l**2 + 8192*l + 34 What is the h'th term of 1272, 1348, 1534, 1878, 2428, 3232, 4338? 8*h**3 + 7*h**2 - h + 1258 What is the u'th term of -25533179, -25533180, -25533181, -25533182? -u - 25533178 What is the w'th term of 50, 401, 1374, 3293, 6482, 11265, 17966? 54*w**3 - 13*w**2 + 12*w - 3 What is the q'th term of -4921, -10635, -16349? -5714*q + 793 What is the p'th term of 56388, 112677, 168964, 225249, 281532, 337813, 394092? -p**2 + 56292*p + 97 What is the b'th term of -356309, -730159, -1104021, -1477901, -1851805, -2225739? -b**3 - 373843*b + 17535 What is the g'th term of 131, 664, 1637, 3098, 5095, 7676, 10889? 8*g**3 + 172*g**2 - 39*g - 10 What is the x'th term of 74649, 298601, 671855, 1194411, 1866269, 2687429? 74651*x**2 - x - 1 What is the w'th term of -13884045, -13884073, -13884087, -13884081, -13884049, -13883985? w**3 + w**2 - 38*w - 13884009 What is the i'th term of -8515, -17028, -25557, -34114, -42711, -51360? -2*i**3 + 4*i**2 - 8511*i - 6 What is the x'th term of -253201, -252814, -252427, -252040, -251653? 387*x - 253588 What is the g'th term of -26945279, -26945267, -26945243, -26945201, -26945135, -26945039, -26944907? g**3 + 5*g - 26945285 What is the i'th term of 439898, 882412, 1324926? 442514*i - 2616 What is the a'th term of 1863, 3901, 6111, 8493, 11047, 13773? 86*a**2 + 1780*a - 3 What is the u'th term of 57932687, 57932695, 57932703, 57932711, 57932719? 8*u + 57932679 What is the b'th term of -30527881, -61055761, -91583641, -122111521, -152639401? -30527880*b - 1 What is the x'th term of 517, 435, 277, 19, -363? -4*x**3 - 14*x**2 - 12*x + 547 What is the f'th term of 11819, 48951, 110827, 197447, 308811, 444919? 12372*f**2 + 16*f - 569 What is the o'th term of -715992, -1431981, -2147968, -2863953? o**2 - 715992*o - 1 What is the i'th term of -541, -398, -253, -106, 43? i**2 + 140*i - 682 What is the x'th term of -10433, -42960, -97557, -174224, -272961, -393768, -536645? -11035*x**2 + 578*x + 24 What is the k'th term of 10236, 11866, 13492, 15114, 16732, 18346, 19956? -2*k**2 + 1636*k + 8602 What is the l'th term of 81432, 79359, 75902, 71061? -692*l**2 + 3*l + 82121 What is the w'th term of -15313693, -15313694, -15313695? -w - 15313692 What is the c'th term of -3611, -16081, -36867, -65969? -4158*c**2 + 4*c + 543 What is the z'th term of -3510, -6919, -10336, -13761, -17194? -4*z**2 - 3397*z - 109 What is the c'th term of -412625, -411987, -411349, -410711, -410073? 638*c - 413263 What is the g'th term of 3634, 29445, 99580, 236203, 461478? 3694*g**3 - 2*g**2 - 41*g - 17 What is the a'th term of -126, -623, -1434, -2535, -3902? 4*a**3 - 181*a**2 + 18*a + 33 What is the g'th term of -108, 87, 372, 747? 45*g**2 + 60*g - 213 What is the p'th term of 3086, 9511, 19274, 32375? 1669*p**2 + 1418*p - 1 What is the v
{ "pile_set_name": "DM Mathematics" }
allest value? (a) -4/3 (b) -736 (c) 2 (d) 3 (e) -4 b Which is the fourth biggest value? (a) 1/3 (b) -4 (c) 1 (d) -2 b What is the smallest value in -0.1, 2, -1, 16, -2/23? -1 What is the second biggest value in 0, 121, 9? 9 What is the second smallest value in -0.1, 6/11, -52? -0.1 What is the fourth smallest value in -1/7, -0.09, 2/9, 1/2, 82? 1/2 What is the third smallest value in 50, -1/2, 7/2? 50 Which is the third biggest value? (a) 5 (b) -6 (c) 0.2 b Which is the smallest value? (a) 860 (b) -0.3 (c) -0.1 b What is the fourth smallest value in -1.1, -3, 3, 0.3? 3 Which is the second biggest value? (a) -4 (b) -3/2 (c) 27 b Which is the third smallest value? (a) 0.2 (b) -0.23 (c) 3 c Which is the fifth smallest value? (a) 3/8 (b) -2 (c) 42/17 (d) 0.1 (e) -1 c What is the smallest value in 0.5, 54, -1/4? -1/4 What is the second smallest value in 0.1, 4/7, 0.2, -0.02? 0.1 Which is the smallest value? (a) -0.4 (b) 2/63 (c) 0.4 a What is the smallest value in -1/4, -4, -3? -4 What is the third smallest value in 2, 0.2, 1/16, 3, 2/5? 2/5 Which is the smallest value? (a) 0.1 (b) -2/17 (c) -3/7 c What is the fourth biggest value in 0, -0.3, 1/5, 3/32? -0.3 Which is the second biggest value? (a) -8 (b) -5 (c) 0.5 (d) -7/2 d What is the second biggest value in 2, -0.3, -34? -0.3 Which is the fourth smallest value? (a) 31 (b) -0.4 (c) -0.3 (d) 5 a Which is the smallest value? (a) -5 (b) 323 (c) 5 (d) 2/17 (e) 14 a What is the fourth smallest value in -4, -1, 0.3, -5, 232? 0.3 What is the third smallest value in 5, 2/9, -0.11, -5/8? 2/9 What is the fourth smallest value in -0.04, 0.5, -7, -19? 0.5 Which is the fourth biggest value? (a) 31.3 (b) -3 (c) 3 (d) 0.5 (e) 2 d Which is the second smallest value? (a) -1 (b) 51 (c) 15 c What is the second biggest value in -0.5, 0.2, -9, 5? 0.2 Which is the smallest value? (a) -0.2 (b) -2 (c) -4/7 b Which is the biggest value? (a) -1/3 (b) 0.01 (c) 0.05 (d) -1/4 c What is the third smallest value in 0.3, -1/3, 0.34? 0.34 Which is the second biggest value? (a) 0 (b) -94/7 (c) 2 a What is the smallest value in 386, -3, 0.5? -3 What is the third biggest value in 0.22, -2, 0, 0.12? 0 Which is the biggest value? (a) 6 (b) -9 (c) -34 a Which is the third biggest value? (a) 25 (b) -2 (c) -14 (d) 0 b What is the third smallest value in -0.13, -1/2, -1/10, 0? -1/10 What is the third smallest value in 8, -2/223, 5, 1/4? 5 What is the fifth biggest value in -10/7, 3, 19, 0.2, 2/3? -10/7 Which is the fourth biggest value? (a) -5.5 (b) 3 (c) -2/3 (d) 4 (e) -4 e Which is the third smallest value? (a) -74 (b) -2 (c) 2/11 c What is the second biggest value in -3, -2, 5, 4, -2/13? 4 Which is the biggest value? (a) 1/4 (b) 0.39 (c) -1 b Which is the biggest value? (a) -0.28 (b) -0.4 (c) -4 (d) 1 d What is the third smallest value in -197, 3, 13, 0.5? 3 Which is the fifth smallest value? (a) 0.4 (b) -3 (c) 0.2 (d) -105 (e) 0.19 a What is the second smallest value in 0.3, 6698, -1? 0.3 What is the second smallest value in 4, -4, -2/13, -2, 3? -2 What is the smallest value in 4, 3, 3/7, 0.257, 2/21? 2/21 What is the second biggest value in -1, -4, 0.61? -1 Which is the second smallest value? (a) 3/7 (b) 0.08 (c) -0.22 b What is the second biggest value in -28, 1, 2/15? 2/15 What is the second smallest value in 3/7, 4, 105? 4 Which is the biggest value? (a) -2 (b) 0.3 (c) 143 (d) 0 (e) -1 c What is the third smallest value in -9/4, 5/2, -2/3? 5/2 What is the second biggest value in 2/3, -2, -0.5? -0.5 What is the fourth biggest value in -5, -97, -2, 0? -97 Which is the second smallest value? (a) 2 (b) -1 (c) -5/7 (d) 0 c What is the fourth biggest value in -3/47, 2, 4, -31? -31 What is the second biggest value in 4, 3, -2/15, -0.1, 44? 4 Which is the fourth biggest value? (a) 814 (b) -0.3 (c) -5 (d) 0.2 c What is the biggest value in 0.2, 1/7, 0.07? 0.2 Which is the third smallest value? (a) -0.5 (b) 5/6 (c) 2/7 (d) 0.002 c Which is the second smallest value? (a) 1 (b) 0.02 (c) 7/2 (d) 2/5 (e) -0.3 b What is the biggest value in -0.5, -2/13, 0.0415? 0.0415 What is the third smallest value in 3, -0.3, -15/7, 1/2, 2/11? 2/11 Which is the biggest value? (a) 0.044 (b) -0.06 (c) 5 c Which is the fourth biggest value? (a) 4 (b) 0 (c) -0.17 (d) 3 (e) -5 c What is the second biggest value in -2
{ "pile_set_name": "DM Mathematics" }
0 + 25505 = -4*l + i for l. 4 Solve 0 = -4*v - 4*w + 44, -w = -415*v + 415*v - 12 for v. -1 Solve -4*z + 80*f - 40 = 76*f, -2*f + 27 = 5*z for z. 1 Solve 5*o - 4*r + 40 = 0, -10 = 644*r - 646*r for o. -4 Solve 0 = 2*a + 6*m, -7*m = -4*m + 3 for a. 3 Solve 3*a = 30*b - 34*b + 29, 2*a + 2*b = 16 for a. 3 Solve 31*p - 4*m = 55*p - 28*p + 8, -4*m = -12 for p. 5 Solve 39*i + d + 42 - 127 = 0, 5*i - d - 3 = 0 for i. 2 Solve -28*u + 46*u + 5*p = -82, 2*u = -3*p - 14 for u. -4 Solve 4*j - 5 = 5*w, -2 = 4*w + 2 for j. 0 Solve 5*t + 15 = 0, 495*l + 3*t = 496*l - 16 for l. 7 Solve -t - 1086 + 1085 = 0, 2*t - 2 = -x for x. 4 Solve -4*t + 16 = -2*n - n, 3*n + 144767*t + 10 = 144765*t for n. -4 Solve -d - 8 = -4*m, 98 = -5*m - 5*d + 83 for m. 1 Solve 3*b + 8*s - 36 = -s, 509*b - 510*b = -4*s + 16 for b. 0 Solve 195*t + 3*z - 186 = 0, 1644*z = -5*t + 1645*z + 8 for t. 1 Solve 4*l - 3*c - 27 = 0, 0 = -13*l + 9*l + 5*c + 21 for l. 9 Solve t - 4 + 12 = -3*b, 4*b + 12 = 0 for t. 1 Solve -9 = -4*c - g, -5*g + 9 = 220*c - 218*c for c. 2 Solve 99*j = 104*j + 138*z + 316, 3*j - z = -22 for j. -8 Solve -88220*n - o - 6 = -88218*n, 0 = 2*n + 3*o + 2 for n. -4 Solve -11*s + 8*s = -2*c + 16, -3*s + 8 = c for c. 8 Solve -10*d - 404*c + 403*c + 112 = 0, 5*c = -4*d + 54 for d. 11 Solve 2*i - 4*o - 54 + 30 = 0, -2*i + 7*o + 30 = 0 for i. 8 Solve -3*y = -2*k - 15, -3*k + 5*y - 1 = 24 for k. 0 Solve 4*w + y + 15 = 0, -4*w + 656*y - 652*y = 0 for w. -3 Solve 442*f - 447*f - 70 = -5*v, 3 = 3*v for f. -13 Solve 4*a = 10*l - 11*l + 3, a + 4*l = -3 for a. 1 Solve 6*p - 2*p + 9 - 1 = 2*m - 0*p, 0 = m + 2*p for m. 2 Solve 130*v - 120*v + 4 = -2*o, -3*o - 5*v = -14 for o. 8 Solve 5*u = p - 19, 968 = -24*u + 896 for p. 4 Solve -3*q = 42*g - 45*g - 1 - 5, 14*q = 70 for g. 3 Solve 0 = -4*c - 3*t - 493 + 475, 2*t + 1 = c for c. -3 Solve 5*w + 5*r - 314 + 299 = 0, -w + 3*r - 1 = 0 for w. 2 Solve -16 = -10*u + x, -4*u - 5*x + 32 = 4 for u. 2 Solve 5*w - 39 = -g, -3*w + 16 = -4*g + 80 for w. 4 Solve -5*j - s = 1, 0*j - 14 = -2*j - 4*s for j. -1 Solve t - 2*m = -13, -3*m + 768 = -m + 760 for t. -5 Solve -175*o - 101 = -2*z - 166*o, 51 = -4*z - 5*o for z. 1 Solve -188786*x + 40 = -188783*x - 5*v, -5*x - 4*v + 5 = 0 for x. 5 Solve -2*y = -3*p + 3, 11*p + 5 = 16*p for y. 0 Solve d - 22 = -2*o - 9, 12 = -d + 3*o - 0 for d. 3 Solve -5 = -z - 796*m + 793*m, 4*z + 3*m = 2 for z. -1 Solve -2*g = 3*s, 6*g - 8*g + 6*g + 2 = -5*s for g. -3 Solve 242 = 24*c + 2*m, 4*m + 54 - 18 = 4*c for c. 10 Solve 40921*r - 40924*r - 5*s = 47, 5*r - 6*s = 22 for r. -4 Solve -11*d - q - 61 = 7, -3*q = 3*d + 24 for d. -6 Solve 2*m - 141 = -2*o - 155, -5*m - 26 = -4*o for o. -1 Solve -4*l = 4*f + 32, 0 = 3*l + 4*f - 200 + 231 for l. -1 Solve -5*s + u = -10, 2*s = -25089*u + 25090*u + 1 for s. 3 Solve -853*x = l - 848*x + 6, -1 = 2*l - x for l. -1 Solve 520 = 5*u + 13*h + 305, -u = -3*h + 41 for u. 4 Solve 3*u - 15*m + 467 = 311, -u - 5*m + 58 = 0 for u. 3 Solve 2*d - n = 0, -d + 147*n = 142*n - 18 for d. -2 Solve 0 = q - 3*l + 2, 2*l + 236 = q + 238 for q. -2 Solve -4*a + 12 = -g, 110*g + 3 = 107*g + a for g. 0 Solve 5*v = -32*r + 36*r - 3, 0 = -3*r - 3*v + 9 for r. 2 Solve -f + 11*o - 10 = 16*o, o = -1 for f. -5 Solve -4*t + 8 = -4671*w + 4667*w, t + 3 = -4*w for t. 1 Solve n = -4*x + 11, 2*x = -4*n - 65 + 95 for n. 7 Solve 0 = 2*s - 2*d - 18, -2*d + 112 = 3*s + 75 for s. 11 Solve 90*t = -3*c - 18, c + 3*c - 5*t = -24 for c. -6 Solve -5*x + 17 = -3*q, 2*q + 4*x - 31 = -57 for q. -9 Solve -4*y - 5*j = -6, 545*j = 4*y + 548*j - 2 for y. -1 Solve -3*o = 2*n - 8, 5*o = 10*o + 2*n - 12 for o. 2 Solve 5*z + 8 = 7*z, -2*d + 44 = z - 20 for d. 30 Solve -8038*n + 8033*n - 21 = -4*h, -10 = 2*n for h. -1
{ "pile_set_name": "DM Mathematics" }
- 10, 4*u + 5*t - 2 = -0 for u. -2 Solve q - 5*t = -5 - 1, 3*q - t = 10 for q. 4 Solve -3*w = -4*v + 5, -5*w + 5*v - 15 = -3*w for w. 5 Solve 20 = -6*r + 7*r - 5*b, -3*b = 9 for r. 5 Solve 12*k - v = 17*k - 2, -5*v + 10 = -5*k for k. 0 Solve 5*w + 8 = -2*z, -20*w + 25*w + 10 = 0 for z. 1 Solve 4*o - 2*y = 20, 9 = 2*o - 3*o - 3*y for o. 3 Solve -m = 4*t - 13, -5*m - 1 + 26 = 0 for t. 2 Solve 3*h - 4*o + 4 = 0, -24 = -4*h - 0*h - 2*o for h. 4 Solve 8*u - 4*w + 37 = 3*u, 0 = -4*u + 3*w - 29 for u. -5 Solve -2*l - 2*b - 10 = 0, 0 = -12*l + 16*l + 2*b + 22 for l. -6 Solve 4*u - 2*n + 22 = 0, 2*n = -u - 3*u - 2 for u. -3 Solve -2 = y + 5*n - 22, 4*y - 4*n = 8 for y. 5 Solve -k - 9 = -565*y + 563*y, 4*y - 5*k - 21 = 0 for y. 4 Solve -3*z - 2*w = -1 - 1, -4*z - 4 = w for z. -2 Solve -4*w + u = 17, -4*w - 5 = -3*u + 14 for w. -4 Solve 3*z - 31 = -5*r, 115*z + 17 = 5*r + 111*z for r. 5 Solve 0 = -2*x + 5*x - 6, -3 = -3*q + 3*x for q. 3 Solve p = 5*y + 3, -5*y - 4 = -y for p. -2 Solve -5*p - x - 11 = -7*p, 4*p - 5*x = 37 for p. 3 Solve 2*j - 8 = 0, 5*c - 21 - 3 = -j for c. 4 Solve -1 = 2*q + x, 0*q + 4*x - 14 = -2*q for q. -3 Solve -j = 5*d + 34, 2*j - 4*d + 65 - 81 = 0 for j. -4 Solve 0 = -5*w - 25, -j + 5*w + 13 = 2*j for j. -4 Solve -10*i = -12*i, 2*i = -2*d + 2 for d. 1 Solve 3 = s - n - 0, -3*s = 3*n + 21 for s. -2 Solve -10*c - 5*v - 21 = -14*c, -v = -5*c for c. -1 Solve 3*s - 3*b = -43 + 28, -5*s - 4*b + 20 = 0 for s. 0 Solve 0 = 5*f + 2*y + 3*y - 30, 4*f - 5*y = 15 for f. 5 Solve -3*c + 16 = 2*k, 4*c - k + 0*k = 14 for c. 4 Solve 0 = -15*f + 14*f + 4*j + 20, 0 = -4*f - j - 5 for f. 0 Solve 5*t = 8*t, b + 2*b + 12 = t for b. -4 Solve 0 = -5*i - 2*d - 0*d - 5, -4*d + 1 = -i for i. -1 Solve 0 = 3*p + 2*v + 1 + 7, 4*p + 4*v = -12 for p. -2 Solve r = -5*m + 4, 4*r - 1 + 6 = m for m. 1 Solve 4*v + 4*n - 8 = 0, 3*n + 0 = -2*v + 2 for v. 4 Solve 3*q = 2*p + 3, -23 + 22 = -q + 2*p for q. 1 Solve 2*m - 3 = -5, 4*s - 2*m = -14 for s. -4 Solve s = -2*c + 10, -25 = s - 2*s - 5*c for s. 0 Solve 10 = -0*n - 2*n, 0 = h + 3*n + 14 for h. 1 Solve a - 12 = -4*o - a, -5*a = -5*o + 30 for o. 4 Solve -2*v + v - 3*l - 12 = 0, 5*v + 2*l = 5 for v. 3 Solve 2*j = -2*u - 4, 2*u + 3 = j + 11 for u. 2 Solve 0 = 5*n + m - 7, 2*n + 5*m + 13 = n for n. 2 Solve 2*j + 12 = 3*a - 5*a, 0 = 3*a - 5*j - 14 for a. -2 Solve 9 = 2*w - 3*h, -h = -4*w - 154 + 157 for w. 0 Solve q = t - 4, -q - 21 = -4*t - 2*q for t. 5 Solve v = 2*a + 3, -45*v = 2*a - 44*v + 1 for a. -1 Solve 5*p - 7 = -5*k + 2*k, -16 = -3*k + 4*p for k. 4 Solve -u + 27*i - 23*i = -21, 4*u = i + 9 for u. 1 Solve 9*l + 3 = 10*l + 4*d, 3*l + 5 = -5*d for l. -5 Solve 3*u - 5*g + 84 = 102, 11 = 2*u - 3*g for u. 1 Solve 4*h - b - 5 + 19 = 0, 0 = 3*h + b + 14 for h. -4 Solve 4*w + 4*y + 14 = 6*y, -10 = 2*w + 2*y for w. -4 Solve 4*y + g = 8, 6*g = 4*y + g - 32 for y. 3 Solve 0 = -4*p + 5*i + 17, 39*p - 42*p - 16 = 2*i for p. -2 Solve 2*s - 4*x - x + 15 = 0, 0 = s - 2*x + 7 for s. -5 Solve 0 = 2*l - 5*x - 28, l - 6*l - 2*x + 12 = 0 for l. 4 Solve 3*h + 0*q = 5*q + 22, 0 = -4*h - 5*q + 6 for h. 4 Solve 5*h + 10 = 5*o, 14*h - 16*h = 5*o - 3 for o. 1 Solve -4*w = 16, 5*w + 2 = 3*h - 3 for h. -5 Solve 5*m + 4*a = -5 - 16, -3*m - 12 = 3*a for m. -5 Solve 2*r + 3*y - 1 = 0, -3*r + 3*y = -7*r + 17 for r. 8 Solve -5*o = 5*c + 25, -16*c + 23 = -3*o - 21*c for o. -1 Solve 7*l + 13 = 2*t, 0*l - 4*l = 5*t - 11 for t. 3 Solve 5*u - 2*y = 4*u - 9, 0 = -5*u - 2*y - 21 for u. -5 Solve 3*p - 4*h - 17 = 0, 9*p - 13*p + 4*h + 20 = 0 for p. 3 Solve -5*j - 5*r - 5 = 0, -5*j = 8*r - 9*r + 17 for j. -3 Solve -6*b + 3*
{ "pile_set_name": "DM Mathematics" }
-g + 0*g + 8*r - 40 = 4*g + 7*r + 4*r for g. -8 Solve 0 = -5*b - 3*r + 132, 8*b + b - 4*r + 0 = 247 for b. 27 Solve 3*v = 4*t - 96 + 19, 2071*v - 2076*v + 12*t - 235 = 0 for v. 1 Solve -219004*d = -219002*d - 8, -a = -6*d + 25 for a. -1 Solve 270*r = -3*j + 265*r + 26, 5*j - 2*r = 2 for j. 2 Solve -10*j + 15*j = -5*o + 10*j - 40, -4*j + 18 = 10*o for o. -1 Solve -j - 40*x + 45*x - 21 = 0, 123*x + 5 = 5*j + 120*x for j. 4 Solve 58 = -5*u - 3*j + 229, 0 = 4*u - 6*j - 162 for u. 36 Solve 2*p = -48, 15*k - 45*p = -44*p + 99 for k. 5 Solve 0 = 3*q + 15, -5*j - 24 - 29 + 118 = 22*q + 45 for j. 26 Solve 366*n = -5*v + 368*n - 19, v + 3*v = 3*n - 18 for v. -3 Solve 9358*r + s - 11 = 9355*r, -2*r - 2*s + 0*s = -2 for r. 5 Solve 43 = -9*b + 4*r, 413498*r - 14 = 6*b + 413496*r for b. 5 Solve -3*c - 9 = 1785435*q - 1785438*q, 2*c - 71 = -9*q for c. 4 Solve 0 = 6*w + 2*n - 16, 0 = 2435511*w - 2435514*w + 3*n - 36 for w. -1 Solve -17*a = -a - 8*t + 6*t + 344, 0 = -5*a + 5*t - 125 for a. -21 Solve 9 = 5*w - 331*o + 330*o, -15 = w + 4*o for w. 1 Solve 0 = 2*b - 10*y + 6101 - 6023, -3*y + 50 = -2*b for b. -19 Solve -4*b + 11*y - 458 + 144 = 0, -2*b - y + 38 = 0 for b. 4 Solve 4*n - 40*b - 223 = n, 0 = 4*n - b - 83 - 5 for n. 21 Solve 4*f + 97 = 85*s - 88*s, -f = 2*s + 68 for f. 2 Solve y + 9*n = 7*n - 24, -y = 4*n + 48 for y. 0 Solve -2279*k + 2 = -2286*k - 2*y, -3 = 3*k + y for k. 4 Solve g - 43 = -2*c, 292255 = -4*g + 292251 for c. 22 Solve -2*f = -d - 33, -5*f + 30*d - 4*d = 18*d - 55 for f. 19 Solve 4*c = -2*v + 104, -891*v - 175 = -895*v + 2*c + c for v. 46 Solve -2*d = -5*v + 1, -13*d - 230*v = -234*v - 79 for d. 7 Solve 24*q + 277 = 4*n + 1617, q - 4*n = -q - 0*q + 130 for q. 55 Solve 3*n - 6*a + 42 = 0, 169971*n + 3*a - 16 = 169975*n for n. 2 Solve -3*a = -3*c + 254851 - 254683, 296 = -5*a - 3*c for a. -58 Solve 430 + 81 = 108*t - x, -6*t + 6*t + 145 = 5*x for t. 5 Solve 4*w - 18470 = 246*n, 3*w - 879 + 939 = -n for w. 5 Solve 4*l - 3*s - 28 = 0, -825*l = -828*l - 6*s - 78 for l. -2 Solve 4*r = -6*q + 16, 2*q - 2*r + 9873 - 9865 = 0 for q. 0 Solve -7*t + 2*b = 109, -156*t - b - 13 = -315*t + 160*t for t. -15 Solve s + 2*k = 7*k + 7, -50*s + 2*k = -8*s + 122 for s. -3 Solve 2*n - 5*o - 19 = 0, -486*n - 30 = -471*n - 0*o + 2*o - 5*o for n. -3 Solve -28967*n - 2*t = -28959*n - 54, -n + 2*t - 27 = 0 for n. 3 Solve 127 = -4*r + c, -3*r + 2367*c - 2372*c = 42 + 45 + 14 for r. -32 Solve -2*w - 4*o = -34, -897*o + 9 = -900*o for w. 23 Solve 2*p - 4*s - 134 = 0, 0 = 151*p + 5*s + 8994 - 8366 for p. -3 Solve -15*q - 6 + 58 = 3*a - 13*q, -3*q = -183*a + 2922 for a. 16 Solve 12*d = -48*m + 44*m - 284, -9*d - 3*m - 188 = -5*d for d. -5 Solve -4*k - 4*o - 32 = 0, k - 12634*o - 12 = -12631*o for k. -3 Solve 0 = 11*x - 103*h + 98*h + 21, 6*h - 6 - 6 = 0 for x. -1 Solve -j + 105 = 3*j + 43*o + 276, -32 = -2*j + 2*o for j. 11 Solve -16*v - 3*q = -20*v - 23, -164 + 128 = -4*q for v. 1 Solve 0 = 9*c + s - 74, 9*c + s - 4*s + 13*s - 76 = 8*s for c. 8 Solve -17*p + 17 = -22*p - 4*f + 5, -8*p + 2*f = -11*p - f - 9 for p. 0 Solve -240*k + 234*k + 16 = -5*a, -a = -k + 3 for a. -2 Solve 68*d - 735 = 2*b - 653, 164 = -4*b - d for b. -41 Solve -134 = 60*i - 4*h + 66, -4*i - 2*h - 2 = 0 for i. -3 Solve -180*u + 0 + 6 = -355*u + 171*u - 5*d, -u - 14*d - 27 = 0 for u. 1 Solve 6087579*c = f + 6087581*c - 17, 0 = -f - 5*c + 38 for f. 3 Solve 278*w - 272*w = -15*k - 258, 2*k = 4*w - 8 - 12 for w. -3 Solve -3*m = -55*b - 232, 7*m + 0*m = 4*b + 6*m + 6*m - 4 for b. -4 Solve 4*i + 7*q = 173, 17930*i - 15 = 17928*i + 4*q - 131 for i. -4 Solve 0 = -6*j + 4*l - 8, -5111*l + 5108*l = -9*j + 12 for j. 4 Solve -76 = 4*z - 358*j + 343*j, 0 = 4*z - 2*j + 24 for z. -4 Solve -9*x + 12*x + 5*o - 7*o + 19 = -24 + 49, -x = -4*x + 3*o for x. 6 Solve
{ "pile_set_name": "DM Mathematics" }
and 111276. 33 What is the greatest common factor of 49 and 227577? 7 What is the greatest common divisor of 323 and 9979? 17 Calculate the highest common factor of 6300 and 1440. 180 What is the highest common divisor of 859 and 380537? 859 What is the highest common factor of 2000 and 2828000? 2000 What is the greatest common divisor of 60 and 158880? 60 Calculate the highest common factor of 18325 and 8063. 733 Calculate the greatest common factor of 2 and 182194. 2 What is the greatest common factor of 15252 and 153504? 492 Calculate the highest common factor of 2013488 and 1952. 976 What is the highest common factor of 19044 and 483? 69 What is the highest common divisor of 204 and 1568964? 204 What is the highest common factor of 451836 and 99? 99 Calculate the greatest common divisor of 22 and 24596. 22 What is the greatest common divisor of 65 and 6331? 13 Calculate the greatest common factor of 37674 and 3150. 126 Calculate the highest common divisor of 40782 and 84. 42 Calculate the highest common factor of 874 and 253. 23 Calculate the greatest common factor of 634176 and 192. 192 Calculate the greatest common divisor of 223317 and 8748. 243 Calculate the greatest common divisor of 1269099 and 13. 13 Calculate the highest common divisor of 5 and 565885. 5 Calculate the greatest common divisor of 47080 and 3520. 440 What is the greatest common factor of 650 and 395005? 65 What is the greatest common divisor of 459 and 969? 51 Calculate the highest common factor of 5299 and 364. 7 What is the highest common divisor of 42728 and 5880? 392 Calculate the highest common factor of 2017806 and 42. 42 Calculate the highest common factor of 80 and 10256. 16 What is the highest common divisor of 55545 and 210? 105 What is the greatest common divisor of 46019 and 187? 17 What is the highest common factor of 19370 and 570? 10 What is the greatest common factor of 38437 and 135337? 323 Calculate the highest common divisor of 11426 and 16351. 197 What is the highest common divisor of 306 and 279? 9 What is the greatest common divisor of 304322 and 59? 59 What is the highest common divisor of 560 and 235? 5 What is the highest common divisor of 191168 and 1160? 232 Calculate the highest common divisor of 124 and 49011. 31 What is the greatest common factor of 3 and 3543? 3 What is the highest common divisor of 32 and 1429072? 16 Calculate the highest common factor of 5 and 17143. 1 Calculate the greatest common factor of 3160 and 1147870. 790 Calculate the highest common divisor of 920 and 19872. 184 What is the greatest common divisor of 22 and 10563850? 22 What is the greatest common factor of 772257 and 705? 141 What is the highest common factor of 1362 and 5512468? 454 What is the highest common factor of 44429 and 5467? 77 What is the highest common divisor of 1417140 and 10? 10 Calculate the highest common divisor of 2 and 94835. 1 What is the highest common divisor of 12510 and 1800? 90 Calculate the highest common factor of 52630 and 20498. 554 What is the greatest common divisor of 81 and 19143? 27 Calculate the greatest common factor of 3612 and 36. 12 Calculate the greatest common divisor of 610 and 1173030. 610 What is the greatest common divisor of 36 and 596? 4 What is the greatest common factor of 243 and 69093? 81 Calculate the highest common factor of 105996 and 1387. 73 Calculate the highest common factor of 60 and 125340. 60 What is the highest common divisor of 39 and 15202707? 39 Calculate the highest common divisor of 3288 and 107408. 1096 Calculate the highest common divisor of 264 and 2984. 8 Calculate the highest common factor of 5643 and 759. 33 What is the highest common factor of 24 and 333936? 24 What is the greatest common divisor of 67171 and 1313? 13 Calculate the greatest common divisor of 2 and 84192. 2 Calculate the greatest common divisor of 6720 and 21. 21 What is the greatest common divisor of 32776 and 5288? 8 Calculate the highest common divisor of 5920828 and 68. 68 What is the greatest common divisor of 1134 and 111888? 378 Calculate the highest common factor of 68304 and 432. 48 Calculate the highest common divisor of 640 and 2362560. 320 Calculate the highest common factor of 438420 and 2. 2 Calculate the greatest common factor of 6 and 153126. 6 Calculate the highest common divisor of 37300 and 200. 100 What is the highest common factor of 25899 and 873? 291 Calculate the highest common divisor of 5315 and 155. 5 Calculate the greatest common divisor of 19765 and 48374. 67 What is the greatest common factor of 4254 and 6? 6 What is the highest common divisor of 5348994 and 798? 798 What is the highest common factor of 6475 and 39997? 37 Calculate the highest common factor of 27 and 41490. 9 Calculate the greatest common factor of 196 and 76391. 49 What is the greatest common factor of 25944 and 6016? 376 Calculate the greatest common divisor of 11944 and 136. 8 What is the greatest common divisor of 122590 and 520? 130 What is the greatest common divisor of 26 and 1302717? 13 Calculate the highest common divisor of 450 and 211250. 50 What is the highest common divisor of 2133370 and 10? 10 Calculate the greatest common factor of 221483 and 304. 19 What is the greatest common factor of 5328 and 14976? 144 What is the highest common factor of 1024462 and 892? 446 Calculate the greatest common divisor of 8 and 309480. 8 Calculate the greatest common factor of 628638 and 6. 6 Calculate the greatest common divisor of 211172 and 1426. 62 Calculate the greatest common divisor of 322590 and 5. 5 Calculate the highest common factor of 882 and 73962. 126 What is the greatest common factor of 5353 and 1961? 53 Calculate the greatest common factor of 88 and 2931742. 22 What is the highest common divisor of 3690 and 8241? 123 Calculate the highest common divisor of 16050 and 48. 6 What is the highest common factor of 395940 and 60? 60 Calculate the greatest common factor of 2412 and 203948. 268 Calculate the greatest common divisor of 1616065 and 220. 55 Calculate the greatest common divisor of 11 and 2041061. 11 Calculate the highest common divisor of 80 and 18160. 80 What is the greatest common divisor of 857 and 1690861? 857 What is the highest common divisor of 80 and 6928? 16 Calculate the greatest common divisor of 11663 and 66875. 107 Calculate the highest common divisor of 113040 and 75. 15 What is the highest common divisor of 1008 and 21483? 63 Calculate the greatest common divisor of 15 and 13074. 3 Calculate the highest common factor of 5745674 and 44. 22 What is the greatest common factor of 17405 and 25665? 295 Calculate the greatest common divisor of 6 and 3060042. 6 Calculate the highest common factor of 36738 and 3042. 234 What is the highest common factor of 8 and 176108? 4 Calculate the greatest common divisor of 326258 and 4. 2 What is the greatest common factor of 710 and 778870? 710 What is the highest common factor of 435 and 809274? 87 Calculate the highest common divisor of 660 and 4800. 60 Calculate the greatest common divisor of 70775 and 950. 475 Calculate the greatest common factor of 265367 and 4997. 263 What is the greatest common divisor of 1274 and 22834? 98 Calculate the highest common factor of 99 and 2853. 9 What is the highest common divisor of 37305 and 180? 45 Calculate the highest common factor of 7220 and 160. 20 Calculate the greatest common factor of 453392 and 48. 16 What is the highest common factor of 10744 and 5304? 136 What is the greatest common divisor of 229376 and 812? 28 What is the highest common factor of 4508387 and 482? 241 What is the highest common divisor of 28049 and 56? 7 Calculate the highest common divisor of 5325 and 480. 15 Calculate the greatest common factor of 21060 and 22680. 1620 Calculate the greatest common divisor of
{ "pile_set_name": "DM Mathematics" }
. -2, c, o Let n = 22 + -21.9. Sort n, 7/3, -2 in increasing order. -2, n, 7/3 Let w = -4 + 9. Let q = 5 - 8. Suppose -h + 24 - 20 = 0. Put h, w, q in ascending order. q, h, w Let a be (3*-7)/(7 - 6). Let m = a + 65/3. Put m, 0, -6 in descending order. m, 0, -6 Let x(m) = m + 2. Let v(a) = a**3 - 6*a**2 - a + 6. Let z be v(6). Let k be x(z). Let p = 2.7 - 2.9. Sort p, -0.1, k in decreasing order. k, -0.1, p Let c(y) = 1. Let h(a) = -a - 2. Let n(s) = -3*c(s) - 4*h(s). Let p be n(-2). Sort 5, p, 2 in descending order. 5, 2, p Let g be (6/4)/(6/8). Suppose 0 = -5*w + 2*j + 12, 0 = 3*w - g*w - 2*j + 4. Suppose -w*f = f. Sort 4, -4, f in increasing order. -4, f, 4 Suppose -2 - 2 = 4*r. Let y be 6*r*2/(-4). Let d be (-2)/8 + 0 + 6/24. Put y, d, -4 in descending order. y, d, -4 Let a = 25.9 - 26. Put -1, a, -2/3 in increasing order. -1, -2/3, a Let p = -7 + 11. Let d = 8 - p. Suppose 0 = -d*b + 4*m + 4, b + 3*b + 3 = -3*m. Put 5, b, 2 in increasing order. b, 2, 5 Let u = 201 + -202. Let m be (-2)/(-4)*(0 + -6). Sort 4, m, u. m, u, 4 Let f be ((-16)/(-6))/(2 + 8/(-6)). Let w(z) = 2*z + 4. Let a be 0/(-2) - (-1 - -5). Let o be w(a). Sort -2, o, f in decreasing order. f, -2, o Let v(z) = -3*z + 19. Let r be v(8). Let f = -12 + 9. Put f, -4, r in descending order. f, -4, r Let n = 2.4 + 2.1. Let m = n - -0.5. Put m, 0, 3 in increasing order. 0, 3, m Let b = 16 + -11. Sort b, 0, 2 in descending order. b, 2, 0 Suppose -o - 4 = 1. Let u(j) = j**3 + 6*j**2 + 7*j + 7. Let p be u(o). Let k = -162 + 813/5. Put k, p, -1 in ascending order. p, -1, k Let z(p) = p**3 + 2*p**2 - p + 4. Suppose b + 6 + 10 = -4*o, -4*o - 28 = 4*b. Let g be z(o). Put -4, g, -5 in increasing order. -5, -4, g Suppose 5*s + 2*p - 6*p = 2, -4*s = 2*p - 12. Suppose -s*r + 29 = -5*g + 13, 0 = -3*r - 4*g + 24. Let h be 18/r - (4 - 2). Sort -1/5, -4, h. -4, -1/5, h Suppose -10*m + 4*m + 12 = 0. Put m, -5, -4, 1 in descending order. m, 1, -4, -5 Let q(c) = 4 + c - 6 + 8. Let w be q(-10). Let p = 9 - 6. Sort w, p, 2 in increasing order. w, 2, p Let y be 1 + (-2 - -4) - 2. Sort -1, 4, y in ascending order. -1, y, 4 Let t = -4/9 - -53/18. Sort 2/9, 1, t in decreasing order. t, 1, 2/9 Let c = -41 + 44. Suppose -2*b - 2 = -3*i + 2*i, -i + 5*b = -11. Let x be (-6 + 2)*2/i. Sort -5, x, c in decreasing order. c, x, -5 Suppose 0 = 5*y + 3*b + 34, -1 - 7 = 4*y - 4*b. Let f = 17 - 18. Sort -2, f, y in decreasing order. f, -2, y Let k = 6 - 3. Let l(p) = p + 8. Let o be l(-6). Suppose -2*r = a + o, r + 4 = 4*a - 3*r. Put k, a, -4 in descending order. k, a, -4 Let h = -1 - -3. Let m(f) = -2*f**2 - 30*f - 31. Let k be m(-14). Sort 0, h, k in ascending order. k, 0, h Let p be ((-2 - -4)*1)/((-2)/(-4)). Let t(u) be the first derivative of u**2/2 - 5*u + 1. Let d be t(5). Put d, -2, p in descending order. p, d, -2 Let d = -62.1 + 62. Sort d, -1, -0.5 in descending order. d, -0.5, -1 Let k be 2/6 - 17/15. Let i = 111 - 110.6. Sort -0.4, k, i in descending order. i, -0.4, k Let p = -7.92 - -8. Let w = 0.92 + p. Sort w, 1/4, -1/3 in decreasing order. w, 1/4, -1/3 Let a = -26 + 209/8. Let b = 0.11 - -4.89. Put a, 0, b in descending order. b, a, 0 Suppose 0 = 4*l + 21 - 93. Suppose -l = -t - 2*t. Suppose 0 - t = -2*m. Sort 4, -3, m in decreasing order. 4, m, -3 Suppose 3*w + 3 - 15 = 0. Sort 5, 1, w in ascending order. 1, w, 5 Let w = 1/4 + 3/20. Put -3, -2, w in ascending order. -3, -2, w Let n(z) = -z. Let s be n(4). Suppose 0*o + 1 = -o. Put s, 1, o in descending order. 1, o, s Suppose 4*o - 30 = -2*n, -2*o - 15 = -9*n + 4*n. Sort 0, o, 10 in decreasing order. 10, o, 0 Let b = -0.04 - 0.06. Let v = 2.1 + b. Let i be 13/6 - 2/1. Put v, -3, i in decreasing order. v, i, -3 Let o = -8 - -6. Suppose -4*v = 3*s + 3 - 2, -s - 7 = -2*v. Put v, o, -4 in increasing order. -4, o, v Let s = -38/15 + -1501/15. Suppose -2*g = 202 + 2. Let b = g - s. Sort 0.5, b, -3/4 in descending order. b, 0.5, -3/4 Let x = 2 + 1. Let o = -9 + x. Let f = -1 - o. Sort -0.4, 0.2, f in ascending order. -0.4, 0.2, f Let k be (-91)/(-14) + (-3)/(-6). Put 4, 5, k in increasing order. 4, 5, k Suppose 5*h - h - 4 = 0. Put -5, 0, h in increasing order. -5, 0, h Let q = -5.11 - -0.11. Let x = 0.025 - 2.125. Let l = -0.1 - x. Put l, q, -3 in decreasing order.
{ "pile_set_name": "DM Mathematics" }
of 13515? False Is 23 a factor of 506? True Does 106 divide 1953? False Is 13090 a multiple of 69? False Does 14 divide 26869? False Does 326 divide 31804? False Does 16 divide 22949? False Is 37532 a multiple of 11? True Is 652 a multiple of 163? True Does 9 divide 125? False Does 18 divide 9954? True Is 29487 a multiple of 176? False Is 482 a multiple of 241? True Is 47 a factor of 2866? False Is 45 a multiple of 15? True Does 5 divide 1565? True Is 39 a factor of 234? True Is 759 a multiple of 11? True Does 43 divide 517? False Is 8 a factor of 21696? True Does 24 divide 78266? False Is 6 a factor of 600? True Is 54 a factor of 60765? False Does 9 divide 855? True Is 520 a multiple of 40? True Is 9 a factor of 7906? False Is 20 a factor of 1840? True Is 338 a factor of 37655? False Is 53 a factor of 6678? True Does 11 divide 5806? False Is 72 a multiple of 3? True Does 208 divide 8320? True Is 134 a factor of 13066? False Does 24 divide 524? False Does 13 divide 1300? True Does 48 divide 8109? False Is 236 a multiple of 2? True Is 20247 a multiple of 27? False Does 17 divide 27285? True Is 8 a factor of 408? True Is 28 a factor of 1428? True Does 12 divide 1149? False Is 8 a factor of 3005? False Is 25 a factor of 696? False Does 7 divide 280? True Does 25 divide 266? False Is 333 a multiple of 9? True Does 78 divide 384? False Is 1159 a multiple of 70? False Is 4 a factor of 11737? False Is 2116 a multiple of 23? True Does 7 divide 3555? False Is 609 a multiple of 22? False Is 12 a factor of 97? False Is 534 a multiple of 75? False Is 138 a multiple of 14? False Is 27 a factor of 1701? True Is 5786 a multiple of 7? False Is 43 a factor of 2021? True Is 8 a factor of 64715? False Is 88 a factor of 4625? False Does 12 divide 1197? False Does 17 divide 1615? True Does 21 divide 19294? False Does 73 divide 1660? False Is 13583 a multiple of 24? False Does 48 divide 912? True Is 12 a factor of 1104? True Is 25 a factor of 1650? True Is 3 a factor of 2940? True Is 105400 a multiple of 155? True Is 13 a factor of 227? False Is 9231 a multiple of 17? True Does 39 divide 455? False Is 44862 a multiple of 9? False Is 68 a factor of 4964? True Is 1749 a multiple of 11? True Is 23 a factor of 15071? False Is 660 a multiple of 15? True Is 4 a factor of 1191? False Does 2 divide 295? False Is 12 a factor of 5220? True Is 61 a factor of 2745? True Is 25 a factor of 10396? False Is 351 a multiple of 19? False Is 55 a factor of 6957? False Is 31 a multiple of 2? False Is 25 a factor of 133123? False Does 303 divide 909? True Is 13 a factor of 16867? False Is 28 a factor of 833? False Is 15 a factor of 99120? True Is 145 a multiple of 12? False Does 49 divide 147? True Does 22 divide 1826? True Is 82 a multiple of 2? True Is 3 a factor of 38384? False Is 12 a factor of 1276? False Does 15 divide 3120? True Does 12 divide 2866? False Is 101750 a multiple of 25? True Does 28 divide 46234? False Is 10 a factor of 16783? False Is 22163 a multiple of 37? True Does 25 divide 643? False Is 5 a factor of 291? False Is 342 a multiple of 18? True Is 44 a factor of 220? True Is 10 a factor of 22503? False Does 143 divide 20735? True Is 106 a factor of 14100? False Is 10 a factor of 5770? True Is 3145 a multiple of 37? True Is 2207 a multiple of 4? False Is 16 a factor of 4544? True Is 33961 a multiple of 24? False Does 11 divide 1449? False Is 4 a factor of 187? False Is 2075 a multiple of 5? True Is 4788 a multiple of 14? True Is 23 a factor of 230? True Does 9 divide 1455? False Is 227 a factor of 29633? False Does 139 divide 11676? True Does 4 divide 635? False Is 33 a factor of 10791? True Does 16 divide 3367? False Is 46701 a multiple of 86? False Is 7 a factor of 128? False Is 26 a factor of 52? True Is 3202 a multiple of 108? False Does 46 divide 2688? False Is 2458 a multiple of 31? False Is 41 a factor of 21066? False Is 983 a multiple of 19? False Is 68 a factor of 204? True Is 27 a factor of 4266? True Is 34 a factor of 306? True Is 717 a multiple of 17? False Is 11 a factor of 1338? False Does 47 divide 3384? True Is 83 a factor of 7138? True Does 27 divide 5535? True Is 68 a factor of 1457? False Does 17 divide 2380? True Is 256 a multiple of 4? True Does 17 divide 340? True Does 170 divide 60520? True Does 21 divide 1176? True Is 170 a factor of 14301? False Is 15 a factor of 64290? True Does 86 divide 95976? True Is 4 a factor of 299? False Is 13 a factor of 3337? False Is 1094 a multiple of 9? False Is 39 a factor of 897? True Is 16 a factor of 5640? False Is 1617 a multiple of 11? True Is 12 a factor of 792? True Does 106 divide 3286? True Is 10 a factor of 60? True Does 209 divide 33440? True Is 81 a multiple of 9? True Does 85 divide 978? False Is 1763 a multiple of 43? True Does 7 divide 27? False Does 17 divide 19417? False Is 1010 a multiple of 5? True Is 18 a factor of 1659? False Is 76 a factor of 380? True Does 27 divide 275? False Is 23 a factor of 2001? True Is 11 a factor of 231? True Does 21 divide 977? False Does 56 divide 1120? True Is 12 a factor of 143? False Does 63 divide 24885? True Is 5346 a multiple of 36? False Is 3346 a multiple of 21? False Is 37 a factor of 481? True Is 56 a factor of 5432? True Is 13 a factor of 26? True Is 92 a factor of 1399? False Does 34 divide 24819? False Is 51 a factor of 26767? False Is 2 a factor of 5767? False Is 11 a factor of 363? True Is 4 a factor of 285? False Does 12 divide 5256? True Is 64 even? True Is 4712 a multiple of 6? False Is 5 a factor of 80? True Is 17 a factor of 2244? True Is 21 a factor of 357? True Does 16 divide 1376? True Does 8 divide 82? False Does 52 divide 941? False Is 21 a factor of 42? True Is 22 a factor of 660? True Is 24 a factor of 1712? False Is 9 a factor of 6363? True Does 5 divide 258? False Does 20 divide 587? False Is 23 a factor of 184? True Does 5 divide 429?
{ "pile_set_name": "DM Mathematics" }
1. 355 What is the remainder when 136525 is divided by 14? 11 What is the remainder when 496088 is divided by 266? 264 What is the remainder when 1414 is divided by 559? 296 Calculate the remainder when 79290 is divided by 73. 12 Calculate the remainder when 135034 is divided by 67512. 10 Calculate the remainder when 30619 is divided by 26. 17 Calculate the remainder when 14018 is divided by 136. 10 What is the remainder when 49137 is divided by 6141? 9 What is the remainder when 38192 is divided by 45? 32 What is the remainder when 216813 is divided by 515? 513 Calculate the remainder when 794 is divided by 504. 290 What is the remainder when 19696 is divided by 19693? 3 Calculate the remainder when 132154 is divided by 66045. 64 Calculate the remainder when 28330 is divided by 18. 16 Calculate the remainder when 20131 is divided by 40. 11 Calculate the remainder when 11918 is divided by 11820. 98 What is the remainder when 2921 is divided by 84? 65 What is the remainder when 6634 is divided by 8? 2 What is the remainder when 1808 is divided by 326? 178 Calculate the remainder when 6732 is divided by 173. 158 What is the remainder when 665 is divided by 167? 164 Calculate the remainder when 200637 is divided by 380. 377 Calculate the remainder when 10172 is divided by 3070. 962 Calculate the remainder when 259991 is divided by 49. 46 What is the remainder when 1163369 is divided by 1153? 1145 What is the remainder when 1203637 is divided by 401189? 70 What is the remainder when 7001008 is divided by 15? 13 What is the remainder when 9696 is divided by 4847? 2 Calculate the remainder when 6454 is divided by 920. 14 Calculate the remainder when 1991 is divided by 184. 151 Calculate the remainder when 12868 is divided by 331. 290 What is the remainder when 3019 is divided by 272? 27 What is the remainder when 78230 is divided by 6? 2 Calculate the remainder when 296494 is divided by 99. 88 What is the remainder when 1149116 is divided by 35? 31 What is the remainder when 12272 is divided by 586? 552 Calculate the remainder when 29173 is divided by 29. 28 What is the remainder when 2539 is divided by 427? 404 Calculate the remainder when 6387 is divided by 402. 357 What is the remainder when 1897 is divided by 39? 25 What is the remainder when 23425 is divided by 234? 25 What is the remainder when 372284 is divided by 15? 14 What is the remainder when 4482 is divided by 153? 45 What is the remainder when 8303 is divided by 5841? 2462 Calculate the remainder when 256583 is divided by 7127. 11 Calculate the remainder when 5061 is divided by 5060. 1 Calculate the remainder when 10601 is divided by 15. 11 What is the remainder when 86966 is divided by 453? 443 Calculate the remainder when 3083 is divided by 398. 297 Calculate the remainder when 28685 is divided by 3187. 2 What is the remainder when 10500 is divided by 62? 22 What is the remainder when 4989 is divided by 327? 84 What is the remainder when 17315 is divided by 1193? 613 What is the remainder when 412 is divided by 331? 81 What is the remainder when 1068477 is divided by 480? 477 Calculate the remainder when 24671 is divided by 6167. 3 Calculate the remainder when 5039 is divided by 334. 29 Calculate the remainder when 6705 is divided by 6607. 98 What is the remainder when 4177 is divided by 4143? 34 What is the remainder when 74219 is divided by 651? 5 Calculate the remainder when 109527 is divided by 21. 12 What is the remainder when 76455 is divided by 7643? 25 Calculate the remainder when 293 is divided by 143. 7 Calculate the remainder when 8123 is divided by 902. 5 What is the remainder when 3258 is divided by 223? 136 Calculate the remainder when 9040 is divided by 2254. 24 Calculate the remainder when 3241 is divided by 17. 11 Calculate the remainder when 297502 is divided by 96. 94 What is the remainder when 11684 is divided by 298? 62 What is the remainder when 728 is divided by 314? 100 What is the remainder when 9469 is divided by 16? 13 What is the remainder when 76285 is divided by 5446? 41 Calculate the remainder when 26466 is divided by 205. 21 Calculate the remainder when 211277 is divided by 10. 7 What is the remainder when 8613 is divided by 2685? 558 What is the remainder when 14562 is divided by 175? 37 Calculate the remainder when 170265 is divided by 1669. 27 What is the remainder when 220655 is divided by 110327? 1 Calculate the remainder when 647 is divided by 222. 203 What is the remainder when 282962 is divided by 5? 2 Calculate the remainder when 4893 is divided by 200. 93 What is the remainder when 10920 is divided by 73? 43 Calculate the remainder when 5220 is divided by 649. 28 Calculate the remainder when 61956 is divided by 712. 12 What is the remainder when 439690 is divided by 66? 64 Calculate the remainder when 2905 is divided by 53. 43 What is the remainder when 238851 is divided by 363? 360 What is the remainder when 66508 is divided by 289? 38 What is the remainder when 48988 is divided by 2441? 168 What is the remainder when 8779 is divided by 1462? 7 Calculate the remainder when 2947 is divided by 8. 3 What is the remainder when 180513 is divided by 106? 101 What is the remainder when 2612 is divided by 1132? 348 Calculate the remainder when 6039 is divided by 63. 54 What is the remainder when 43481 is divided by 57? 47 Calculate the remainder when 1047 is divided by 22. 13 Calculate the remainder when 263250 is divided by 1867. 3 Calculate the remainder when 88202 is divided by 44096. 10 Calculate the remainder when 87678 is divided by 52. 6 What is the remainder when 621976 is divided by 753? 751 What is the remainder when 1781 is divided by 136? 13 What is the remainder when 48 is divided by 19? 10 What is the remainder when 5969 is divided by 2699? 571 What is the remainder when 1350269 is divided by 64? 61 What is the remainder when 6936 is divided by 20? 16 What is the remainder when 431663 is divided by 756? 743 What is the remainder when 41656 is divided by 186? 178 What is the remainder when 18047 is divided by 36? 11 What is the remainder when 2075211 is divided by 1843? 1836 What is the remainder when 39027 is divided by 572? 131 What is the remainder when 167898 is divided by 25? 23 What is the remainder when 677 is divided by 351? 326 What is the remainder when 36291 is divided by 1352? 1139 What is the remainder when 397 is divided by 208? 189 Calculate the remainder when 154334 is divided by 182. 180 Calculate the remainder when 2414 is divided by 791. 41 Calculate the remainder when 16827 is divided by 429. 96 Calculate the remainder when 5289 is divided by 2448. 393 Calculate the remainder when 42910 is divided by 5361. 22 What is the remainder when 1899741 is divided by 56? 53 What is the remainder when 1496 is divided by 167? 160 What is the remainder when 10244 is divided by 8678? 1566 What is the remainder when 805 is divided by 30? 25 Calculate the remainder when 90674 is divided by 167. 160 What is the remainder when 251899 is divided by 19? 16 What is the remainder when 69211 is divided by 34521? 169 What is the remainder when 432 is divided by 419? 13 What is the remainder when 415754 is divided by 5939? 24 Calculate the remainder when 22898 is divided by 378. 218 Calculate the remainder when 387238 is divided by 2049. 2026 What is the remainder when 2082929 is divided by 30? 29 What is the remainder when 21792 is divided by 69? 57 What is the remainder when 181201 is divided by 90585? 31 What is the remainder when 86305 is divided by 30? 25 What is the remainder when 114216 is divided by 714
{ "pile_set_name": "DM Mathematics" }
x**4 + 17*x**p wrt x. 144*x Let i be (-4 - 32/(-7))/(3/21). Let o(u) = -u**3 + 5*u**2 - 5*u + 6. Let q be o(i). What is the third derivative of 6*j**2 - 41*j**6 + 6*j**q + j**6 wrt j? -4800*j**3 Suppose j - 3*w + 19 = 0, -7 = j + 4*w - 3*w. Let p be -3*(j/(-3))/(-5). Differentiate 10 - 14*l + 14*l + 15*l**p with respect to l. 30*l Let a(c) be the third derivative of -1169*c**5/12 - 2907*c**4/8 - 10*c**2 + 3*c + 79. What is the second derivative of a(l) wrt l? -11690 Differentiate -959*h**3 + 3141*h**2 - 3141*h**2 - 1282 with respect to h. -2877*h**2 Let t(h) = h**3 - 5*h**2 + 3*h + 11. Let x be t(4). Differentiate -14 + 2*s - 3*s - 3*s**2 - 41 - 80 - x*s with respect to s. -6*s - 8 Let f(u) = -8228*u**2 + 143*u - 3. Let o(p) = 12341*p**2 - 215*p + 7. Let z(i) = 14*f(i) + 9*o(i). What is the second derivative of z(c) wrt c? -8246 Let l = 31 - -1. Suppose -11*v - 43 = -12*v. What is the third derivative of -v*q**5 - 22*q**4 + l*q**2 + 22*q**4 wrt q? -2580*q**2 Let u = 10 + 11. Suppose -4*v + 3*i + u = -0*i, -4*i - 26 = -5*v. Find the second derivative of 20*w**2 - v*w - 8*w + 4*w wrt w. 40 Let w(k) = -k**3 - 10. Let b(t) = -950*t**3 - 309*t + 130. Let m(p) = -2*b(p) - 26*w(p). Find the second derivative of m(h) wrt h. 11556*h Let i(d) be the first derivative of -482*d**6/3 - 2*d**5/5 - 2561*d**3/3 + 3166. Find the third derivative of i(f) wrt f. -57840*f**2 - 48*f Let x(b) be the third derivative of -937*b**6/30 + 1269*b**5/20 + 9*b**2 + 70*b. Find the third derivative of x(l) wrt l. -22488 Suppose 4*o = 3*p + 6, -19 = 5*p - 3*o + 2. Let q be (5 + p + 3)/(1/1). What is the derivative of -28 + 5*j**q + 30 + 6*j**2 wrt j? 22*j Let m(i) = -3*i**2 - 5*i - 5. Let k be m(-2). Let c be (-1 - 11/k)/(2/14). Find the first derivative of 10 - 36*t**c - 4116*t**3 + 4116*t**3 wrt t. -144*t**3 Let w(o) be the third derivative of 0 + 79/30*o**5 + 103/120*o**6 - 166*o**2 + 0*o**4 + 0*o + 0*o**3. Find the third derivative of w(y) wrt y. 618 Let h be (0 - (-102)/6) + -4. Find the third derivative of 4*c**2 - 65*c**5 - h*c**5 - 34*c**2 + 17*c**5 wrt c. -3660*c**2 Suppose 3 = 6*q - 3. What is the derivative of 6 - 7 - w + 14 - 19*w**3 - q wrt w? -57*w**2 - 1 Let w be 1/(8/(-6) + 1). Let c = -1 - w. What is the second derivative of -9*y + 18*y + 3*y**c + 3*y**2 wrt y? 12 Let c(b) = -2*b**2 - 2*b - 1. Let n(t) = 1656*t**2 + 541*t + 1. Let a(o) = -2*c(o) + n(o). What is the second derivative of a(v) wrt v? 3320 Let n be ((9/(-12))/(3/(-6)))/(90/120). Let s(r) be the second derivative of 0 - n*r**2 - 5/3*r**3 - 2*r. What is the first derivative of s(g) wrt g? -10 Find the third derivative of -2407 + 8456293*n**3 + n**2 - 8456275*n**3 + n**2 + 41*n**5 wrt n. 2460*n**2 + 108 Find the third derivative of 6044*r**2 - 2956*r**2 - 1225*r**3 - 2786*r**2 wrt r. -7350 Let n(h) = -912*h**3 + 53*h**2 + 24*h. Let m(q) = -1826*q**3 + 104*q**2 + 44*q. Let b(r) = 6*m(r) - 11*n(r). Find the third derivative of b(a) wrt a. -5544 Let k(y) be the third derivative of 287*y**6/60 - 81*y**5/20 + y**2 + 553. Find the third derivative of k(n) wrt n. 3444 Let j(w) be the third derivative of w**5/20 - 73*w**4/6 - 268*w**3 + 641*w**2. Find the first derivative of j(b) wrt b. 6*b - 292 What is the second derivative of -8489642*b**3 + 107*b - 11*b + 168*b - 4 + 8485068*b**3 wrt b? -27444*b Find the second derivative of -444*l**4 + 616*l**2 + l**3 + 614*l**2 - 2*l - 1189*l**4 - 1230*l**2 - 246 wrt l. -19596*l**2 + 6*l Suppose -24*t - 11*t = -2065. Differentiate 51 + t - 25*y + 3*y**3 - 37 wrt y. 9*y**2 - 25 What is the third derivative of 2985*t**2 - 2*t**4 - 4194*t**2 + 82*t**3 + 2*t**4 + 4*t**6 - 2*t**6 wrt t? 240*t**3 + 492 Let g(a) = a**2 - 12. Let k(r) = 2 + 0 + 2 - 3. Suppose 32*m + 13 = -19. Let c(s) = m*g(s) + 5*k(s). What is the first derivative of c(q) wrt q? -2*q Let u(c) be the second derivative of 5/14*c**7 + 3*c - 2/3*c**3 + 8 + 3*c**2 - 1/4*c**5 + 0*c**6 + 0*c**4. What is the second derivative of u(n) wrt n? 300*n**3 - 30*n Let l(q) be the second derivative of -q**6/15 - 23*q**5/30 + 3*q**2/2 - 41*q. Let d(t) be the first derivative of l(t). Find the third derivative of d(o) wrt o. -48 Find the second derivative of -3047*s + 411*s**2 + 750*s**2 - 9*s**2 wrt s. 2304 Let c(t) be the second derivative of t**8/56 + 445*t**7/21 - 23*t**4/12 - 12*t**2 - 953*t. What is the third derivative of c(n) wrt n? 120*n**3 + 53400*n**2 Let t = 350 - 345. What is the
{ "pile_set_name": "DM Mathematics" }
73*o - 496624973*o - 225*o**3. -225*o**3 Collect the terms in 311336*y + 311334*y + 1 - 622700*y. -30*y + 1 Collect the terms in -1194*b + 457*b + 429*b + 394*b - 1. 86*b - 1 Collect the terms in -10*z + 31519556255 - 31519556255. -10*z Collect the terms in -10499*z**3 - 1304268 + 1304268. -10499*z**3 Collect the terms in -247468 + 247468 - 253*j + 270*j. 17*j Collect the terms in -22254*n + 17128*n - 36426*n. -41552*n Collect the terms in 455*q**2 - 405*q**2 - 29*q - 454*q**2 + 29*q. -404*q**2 Collect the terms in -7634 - 22*y**3 + 14837 - 7203. -22*y**3 Collect the terms in -3*c**3 + 4350*c - 1842*c - 2508*c + 9*c**2. -3*c**3 + 9*c**2 Collect the terms in 2*n**2 - 46*n + 80*n - 3*n - 21*n + 6*n**2. 8*n**2 + 10*n Collect the terms in -35*c - 20*c - 5 + 6 + 122*c. 67*c + 1 Collect the terms in 6*s + 2*s - 19 - 3*s - 4 + 15. 5*s - 8 Collect the terms in 0*n**3 - 844*n**2 + n**3 + 497*n**2 + 347*n**2. n**3 Collect the terms in 5 - 4 - 3 + 1 + 358*f - 934*f + 433*f. -143*f - 1 Collect the terms in -611*u**2 + 489*u**2 - 14*u - 10*u + 24*u + 63*u**2. -59*u**2 Collect the terms in 42 + 2 + 13 - 58*c + 24*c + 29*c. -5*c + 57 Collect the terms in -59348*j + 19727*j + 19750*j - 2*j**2 + 19871*j. -2*j**2 Collect the terms in 14030 + 13629 - 41271 - i + 13612. -i Collect the terms in 23376*x - 61075*x - 33376*x. -71075*x Collect the terms in 178*u - 81*u - 115*u - 11*u. -29*u Collect the terms in 2064276*b + 2064142*b - 4128419*b. -b Collect the terms in 651*v**2 + 649*v**2 - 2602*v**2 + 599*v**2 + 573*v**2. -130*v**2 Collect the terms in -389*v**3 - 392*v**3 - 567*v**3 + 1705*v**3 - 378*v**3. -21*v**3 Collect the terms in -16438*i**3 - 136146*i**3 - 157626*i**3 + 38280*i**3. -271930*i**3 Collect the terms in 526*o - 1595*o**2 - 527*o - 568*o**2 + 434*o**2. -1729*o**2 - o Collect the terms in 13323764*l**3 + 2*l - 13323763*l**3 - 2*l + 1. l**3 + 1 Collect the terms in 19*r**3 + 6171301515998 - 6171301515998. 19*r**3 Collect the terms in -471614*c + 157201*c + 157201*c + 157201*c. -11*c Collect the terms in 2*w**2 + 0*w - 29*w + 676 + 16*w + 16*w. 2*w**2 + 3*w + 676 Collect the terms in 6605 - 6496 - 2*n + 11*n + 3*n. 12*n + 109 Collect the terms in o**2 - 10*o + 2*o + 12*o - 10*o + 6*o - 24*o**2. -23*o**2 Collect the terms in -38*a**3 + 1211*a**2 - 3785*a**2 + 1222*a**2 + 1347*a**2. -38*a**3 - 5*a**2 Collect the terms in 196 + v + 228 + 216 + 183 - 869 + 126. v + 80 Collect the terms in 1867 - 77925*m**2 + 77734*m**2 - 1867 - 3*m. -191*m**2 - 3*m Collect the terms in 952*m + 963*m - 2876*m + 962*m + 47*m**3. 47*m**3 + m Collect the terms in 11 - 2 + 32 - 12 + 26*l + 18*l. 44*l + 29 Collect the terms in 75 - 100 + 3*m + 78 - 5*m - m - 51. -3*m + 2 Collect the terms in 11141465*l**2 + 9 + 6 - 11141465*l**2 - 2*l**3 - 15. -2*l**3 Collect the terms in -2*j**3 - 12962*j**2 + 25925*j**2 - 12963*j**2 + 190 - 511. -2*j**3 - 321 Collect the terms in -889*j**2 - 628*j - 881*j**2 + 624*j + 501*j**2. -1269*j**2 - 4*j Collect the terms in 891*s**2 - 4211131789*s + 4211131789*s. 891*s**2 Collect the terms in -28149*b**2 + 56194*b**2 - 28046*b**2 + 213*b**3. 213*b**3 - b**2 Collect the terms in -16*y + 251*y + 165*y - 198*y - 200*y. 2*y Collect the terms in -26 + 3*b**3 - b + 8 - 181*b**2 + 19 + b. 3*b**3 - 181*b**2 + 1 Collect the terms in -8 - 458*g - 104*g**2 - 60*g**2 + 8. -164*g**2 - 458*g Collect the terms in 359*y + 810*y - 363*y + 732*y + 595*y. 2133*y Collect the terms in -699*u + 655*u - 842*u - 820*u - 627*u. -2333*u Collect the terms in 77*q + 100167 + q - 100167 + 10*q**2 + 77*q - 155*q. 10*q**2 Collect the terms in -1054*l + 1664 + 1649 - 3313. -1054*l Collect the terms in -39516*m**3 + 4*m**2 - 4*m**2 + 79096*m**3 - 39513*m**3. 67*m**3 Collect the terms in 1321*v + 255*v - 565*v. 1011*v Collect the terms in 10*g - 12*g**3 + 15*g - 160*g + 135*g - 31*g**3. -43*g**3 Collect the terms in 5*i - 46*i**2 - 4*i + 342 - 473 - 12*i**2. -58*i**2 + i - 131 Collect the terms in -3346 + 20539*x - 3350 - 3341 + 13387 - 20544*x - 3350. -5*x Collect the terms in -1459*s - 2187*s + 81*s - 7 - 8 + 452*s. -3113*s - 15 Collect the terms in -1048602*v**2 - 240*v - 365832*v**2 + 240*v. -1414434*v**2 Collect the terms in -163*f**3 + 33*f**3 + 800*f**3. 670*f**3 Collect the terms in 1177 + 675 - 1737 - 2*p**2. -2*p**
{ "pile_set_name": "DM Mathematics" }
actors of 3243? 3, 23, 47 List the prime factors of 13581. 3, 503 What are the prime factors of 15886? 2, 13, 47 What are the prime factors of 3049? 3049 What are the prime factors of 428? 2, 107 What are the prime factors of 479? 479 List the prime factors of 3807. 3, 47 What are the prime factors of 12751? 41, 311 List the prime factors of 4325. 5, 173 What are the prime factors of 190? 2, 5, 19 What are the prime factors of 823? 823 List the prime factors of 9108. 2, 3, 11, 23 List the prime factors of 3369. 3, 1123 What are the prime factors of 1012? 2, 11, 23 What are the prime factors of 3598? 2, 7, 257 What are the prime factors of 38157? 3, 7, 23, 79 What are the prime factors of 45962? 2, 7, 67 List the prime factors of 8504. 2, 1063 List the prime factors of 324. 2, 3 List the prime factors of 91782. 2, 3, 5099 List the prime factors of 110148. 2, 3, 67, 137 What are the prime factors of 134536? 2, 67, 251 What are the prime factors of 3139? 43, 73 List the prime factors of 77356. 2, 83, 233 What are the prime factors of 56596? 2, 14149 List the prime factors of 485. 5, 97 List the prime factors of 1485. 3, 5, 11 What are the prime factors of 1674? 2, 3, 31 List the prime factors of 1345. 5, 269 List the prime factors of 71061. 3, 23687 List the prime factors of 20830. 2, 5, 2083 List the prime factors of 161548. 2, 40387 List the prime factors of 4340. 2, 5, 7, 31 What are the prime factors of 57741? 3, 19, 1013 What are the prime factors of 126235? 5, 25247 List the prime factors of 37557. 3, 13, 107 List the prime factors of 2109. 3, 19, 37 What are the prime factors of 952? 2, 7, 17 List the prime factors of 1742. 2, 13, 67 What are the prime factors of 131415? 3, 5, 8761 What are the prime factors of 19779? 3, 19, 347 What are the prime factors of 797? 797 List the prime factors of 1036. 2, 7, 37 What are the prime factors of 1561? 7, 223 List the prime factors of 3465. 3, 5, 7, 11 List the prime factors of 33938. 2, 71, 239 List the prime factors of 416. 2, 13 List the prime factors of 14544. 2, 3, 101 What are the prime factors of 1637? 1637 What are the prime factors of 8797? 19, 463 List the prime factors of 685. 5, 137 List the prime factors of 20352. 2, 3, 53 List the prime factors of 50619. 3, 47, 359 List the prime factors of 52930. 2, 5, 67, 79 What are the prime factors of 290? 2, 5, 29 What are the prime factors of 850? 2, 5, 17 List the prime factors of 53925. 3, 5, 719 What are the prime factors of 33720? 2, 3, 5, 281 List the prime factors of 38807. 151, 257 List the prime factors of 888. 2, 3, 37 What are the prime factors of 27167? 7, 3881 List the prime factors of 102741. 3, 23, 1489 What are the prime factors of 1915? 5, 383 What are the prime factors of 41001? 3, 79, 173 What are the prime factors of 20871? 3, 773 List the prime factors of 7110. 2, 3, 5, 79 List the prime factors of 20091. 3, 37, 181 List the prime factors of 7402. 2, 3701 List the prime factors of 1312. 2, 41 What are the prime factors of 14748? 2, 3, 1229 What are the prime factors of 63322? 2, 7, 4523 List the prime factors of 1046. 2, 523 List the prime factors of 117502. 2, 7, 11, 109 List the prime factors of 632. 2, 79 What are the prime factors of 110? 2, 5, 11 What are the prime factors of 5639? 5639 What are the prime factors of 23474? 2, 11, 97 What are the prime factors of 7884? 2, 3, 73 List the prime factors of 2158. 2, 13, 83 What are the prime factors of 2779? 7, 397 List the prime factors of 9119. 11, 829 What are the prime factors of 10636? 2, 2659 List the prime factors of 155632. 2, 71, 137 What are the prime factors of 23166? 2, 3, 11, 13 List the prime factors of 10077. 3, 3359 List the prime factors of 38549. 7, 5507 List the prime factors of 377. 13, 29 List the prime factors of 9379. 83, 113 List the prime factors of 1012. 2, 11, 23 What are the prime factors of 4027? 4027 List the prime factors of 38503. 139, 277 List the prime factors of 18220. 2, 5, 911 List the prime factors of 70. 2, 5, 7 List the prime factors of 6419. 7, 131 What are the prime factors of 14477? 31, 467 List the prime factors of 17343. 3, 41, 47 What are the prime factors of 2002? 2, 7, 11, 13 List the prime factors of 16230. 2, 3, 5, 541 What are the prime factors of 14290? 2, 5, 1429 List the prime factors of 1077. 3, 359 List the prime factors of 658. 2, 7, 47 List the prime factors of 83504. 2, 17, 307 What are the prime factors of 7261? 53, 137 List the prime factors of 36546. 2, 3, 6091 What are the prime factors of 9465? 3, 5, 631 List the prime factors of 1088. 2, 17 What are the prime factors of 28304? 2, 29, 61 What are the prime factors of 11606? 2, 7, 829 What are the prime factors of 1720? 2, 5, 43 List the prime factors of 46114. 2, 23057 What are the prime factors of 89094? 2, 3, 31, 479 What are the prime factors of 16178? 2, 8089 What are the prime factors of 522? 2, 3, 29 List the prime factors of 7278. 2, 3, 1213 What are the prime factors of 2011? 2011 List the prime factors of 6805. 5, 1361 What are the prime factors of 29110? 2, 5, 41, 71 List the prime factors of 995. 5, 199 What are the prime factors of 4775? 5, 191 List the prime factors of 734. 2, 367 List the prime factors of 556. 2, 139 List the prime factors of 12909. 3, 13, 331 What are the prime factors of 531? 3, 59 List the prime factors of 410. 2, 5, 41 List the prime factors of 84878. 2, 31, 37 List the prime factors of 1302. 2, 3, 7, 31 List the prime factors of 4058. 2, 2029 What are the prime factors of 117468? 2, 3, 13, 251 List the prime factors of 29088. 2, 3, 101 List the prime factors of 18308. 2, 23, 199 List the prime factors of 76953. 3, 113, 227 What are the prime factors of 11408? 2, 23, 31 What are the prime factors of 3516? 2, 3, 293 What are the prime factors of 354? 2, 3, 59 What are the prime factors of 105296? 2, 6581 List the prime factors of 275. 5, 11 List the prime factors of 157802. 2, 78901 What are the prime factors of 2579? 2579
{ "pile_set_name": "DM Mathematics" }
637? 0 What is the units digit of 3718? 8 What is the thousands digit of 569854? 9 What is the hundred thousands digit of 189119? 1 What is the hundred thousands digit of 210940? 2 What is the hundreds digit of 199790? 7 What is the hundred thousands digit of 1579540? 5 What is the thousands digit of 17033311? 3 What is the tens digit of 3584570? 7 What is the thousands digit of 5167497? 7 What is the units digit of 2211799? 9 What is the thousands digit of 360720? 0 What is the thousands digit of 384059? 4 What is the tens digit of 6540372? 7 What is the thousands digit of 196355? 6 What is the thousands digit of 319125? 9 What is the hundreds digit of 591319? 3 What is the units digit of 4361092? 2 What is the units digit of 1029544? 4 What is the hundreds digit of 19710111? 1 What is the units digit of 18659618? 8 What is the tens digit of 548624? 2 What is the thousands digit of 21623868? 3 What is the ten thousands digit of 2722866? 2 What is the tens digit of 265903? 0 What is the ten thousands digit of 2243485? 4 What is the ten thousands digit of 330048? 3 What is the millions digit of 1244151? 1 What is the hundreds digit of 8120429? 4 What is the tens digit of 170983? 8 What is the hundred thousands digit of 205321? 2 What is the tens digit of 227568? 6 What is the units digit of 693371? 1 What is the ten thousands digit of 263984? 6 What is the ten thousands digit of 65627? 6 What is the hundreds digit of 635110? 1 What is the hundreds digit of 185275? 2 What is the hundreds digit of 153790? 7 What is the units digit of 1053583? 3 What is the tens digit of 77800? 0 What is the hundred thousands digit of 111621? 1 What is the hundred thousands digit of 243198? 2 What is the units digit of 2390550? 0 What is the units digit of 1209035? 5 What is the ten thousands digit of 14556478? 5 What is the hundred thousands digit of 940737? 9 What is the tens digit of 680607? 0 What is the ten thousands digit of 561317? 6 What is the ten millions digit of 28056236? 2 What is the ten thousands digit of 722956? 2 What is the units digit of 1075135? 5 What is the thousands digit of 2026479? 6 What is the units digit of 1187891? 1 What is the ten thousands digit of 3886299? 8 What is the tens digit of 3125061? 6 What is the ten thousands digit of 167879? 6 What is the hundreds digit of 214666? 6 What is the hundreds digit of 1325008? 0 What is the ten thousands digit of 1626745? 2 What is the units digit of 1018538? 8 What is the thousands digit of 44725? 4 What is the units digit of 1303267? 7 What is the thousands digit of 11329535? 9 What is the units digit of 568740? 0 What is the units digit of 40626? 6 What is the hundreds digit of 9459191? 1 What is the ten thousands digit of 1169413? 6 What is the hundred thousands digit of 5679162? 6 What is the millions digit of 9717503? 9 What is the millions digit of 4833585? 4 What is the millions digit of 2444806? 2 What is the thousands digit of 6913021? 3 What is the ten thousands digit of 117909? 1 What is the hundred thousands digit of 2100144? 1 What is the hundreds digit of 849672? 6 What is the thousands digit of 2576477? 6 What is the tens digit of 235557? 5 What is the hundred thousands digit of 25724798? 7 What is the ten thousands digit of 2583160? 8 What is the hundreds digit of 819318? 3 What is the ten thousands digit of 8631838? 3 What is the thousands digit of 26470? 6 What is the ten millions digit of 10890148? 1 What is the tens digit of 6884? 8 What is the hundreds digit of 3352427? 4 What is the millions digit of 1325377? 1 What is the ten thousands digit of 1469119? 6 What is the ten thousands digit of 4761283? 6 What is the hundreds digit of 1774062? 0 What is the hundred thousands digit of 2106266? 1 What is the thousands digit of 948507? 8 What is the units digit of 9167877? 7 What is the ten millions digit of 21016606? 2 What is the hundreds digit of 2569099? 0 What is the thousands digit of 414790? 4 What is the thousands digit of 693008? 3 What is the thousands digit of 293174? 3 What is the thousands digit of 105230? 5 What is the hundred thousands digit of 2960621? 9 What is the tens digit of 231013? 1 What is the hundred thousands digit of 104099? 1 What is the hundred thousands digit of 3611083? 6 What is the hundred thousands digit of 943462? 9 What is the thousands digit of 180949? 0 What is the ten millions digit of 15376720? 1 What is the hundreds digit of 28784787? 7 What is the hundred thousands digit of 148706? 1 What is the thousands digit of 981204? 1 What is the tens digit of 7151387? 8 What is the hundreds digit of 7625607? 6 What is the units digit of 644049? 9 What is the hundred thousands digit of 10675604? 6 What is the ten thousands digit of 141058? 4 What is the hundreds digit of 8526? 5 What is the units digit of 374633? 3 What is the units digit of 2976138? 8 What is the thousands digit of 787456? 7 What is the ten thousands digit of 153673? 5 What is the hundreds digit of 1099956? 9 What is the units digit of 49184? 4 What is the hundred thousands digit of 408258? 4 What is the ten thousands digit of 86449? 8 What is the units digit of 1051549? 9 What is the units digit of 1842446? 6 What is the ten thousands digit of 2476692? 7 What is the ten millions digit of 13761889? 1 What is the hundreds digit of 2784872? 8 What is the hundred thousands digit of 17395431? 3 What is the ten thousands digit of 351404? 5 What is the hundred thousands digit of 798026? 7 What is the hundreds digit of 631493? 4 What is the hundred thousands digit of 2079824? 0 What is the ten thousands digit of 1208372? 0 What is the hundreds digit of 1529737? 7 What is the thousands digit of 1199434? 9 What is the thousands digit of 787825? 7 What is the units digit of 3148736? 6 What is the units digit of 15050? 0 What is the hundred thousands digit of 323191? 3 What is the units digit of 20657478? 8 What is the ten thousands digit of 661056? 6 What is the thousands digit of 7587608? 7 What is the hundred thousands digit of 391256? 3 What is the hundreds digit of 339372? 3 What is the hundred thousands digit of 1196101? 1 What is the ten thousands digit of 20648072? 4 What is the hundreds digit of 824608? 6 What is the thousands digit of 457005? 7 What is the millions digit of 19402905? 9 What is the tens digit of 1933648? 4 What is the hundred thousands digit of 11022638? 0 What is the hundreds digit of 2925698? 6 What is the hundred thousands digit of 162304? 1 What is the units digit of 205570? 0 What is the units digit of 280738? 8 What is the hundred thousands digit of
{ "pile_set_name": "DM Mathematics" }
= 3*j + h - 66. Solve j*o - 15 = -3 for o. 1 Let o = -522 - -524. Let b = -313 - -328. Solve u = -o*u - b for u. -5 Let o(i) = 2*i**2 - 9*i + 5. Let p be o(4). Let q(d) = -36*d + 16. Let y(h) = h - 1. Let g(x) = p*q(x) + 16*y(x). Let t be g(-1). Solve -c + t = -6*c for c. -4 Let s = -18 + 7. Let w = s + 15. Let z be (0 + w/8)*10. Solve 4*m = -m - z for m. -1 Let x(b) = -35*b - 1430. Let z be x(-41). Solve 5*l = -z*l + 60 for l. 6 Suppose 4*m - 9 + 27 = -2*x, -5*m - 6 = -3*x. Let p(v) = v**3 + v**2 - 5*v + 5. Let k be p(m). Solve 2*z + k*z = 8 for z. 2 Let j be (6/(-9))/(2/(-9)). Suppose -11*i - 2*a + 14 = -9*i, -5*i - 3*a + 37 = 0. Solve -i = j*u + u for u. -2 Let i = -1 - 1. Let p be (-24 - -25)*(-27)/(i + -1). Solve -4*a - 15 = -p*a for a. 3 Let n be 2/(-9) + 29/9. Suppose -u = 15*u - 32. Solve n*h = h + u for h. 1 Let b(n) = -n. Let u be b(-4). Let x be 49*(26/(-14) - -2). Let w be -2 + 12/x - (-185)/35. Solve -3*a - u = w for a. -3 Let j(i) = i**3 - 25*i**2 + 31*i + 53. Let p be j(24). Let v = p + -206. Solve 0 = 3*m - v + 30 for m. -5 Suppose -5*t = -2*t - 2*v + 114, t = 2*v - 42. Let f(u) = -10*u - 64. Let o be f(-10). Let c = t + o. Solve 5*p = -c*p for p. 0 Suppose -577*v = -573*v + 5*x - 506, 3*v - 4*x = 395. Solve 0 = 14*m - 57*m - v for m. -3 Let v = -28262 - -28314. Solve 25 = -47*u + v*u for u. 5 Let p = 2 - -3. Let y be p/(-1)*(-4)/10. Suppose -y*x + 2*s + 4 = -10, 27 = 5*x - s. Solve -b - 4 + x = 0 for b. 1 Suppose -81*o = -82*o + 589. Suppose 5*k + 528 = -n, -58 = -5*k - 2*n - o. Let h be 7/(k/(-12))*50/4. Solve 3*y - 2 = h for y. 4 Suppose -252 = 243*y - 252*y. Solve 0 = y*h - 2*h - 130 for h. 5 Suppose 10 - 26 = -4*j. Suppose -5*i + 16 + 44 = 0. Suppose s + i = 2*x - s, -x - 4*s = -16. Solve -j*l = -x*l - 12 for l. -3 Suppose -4*q - 13*o + 22 = -15*o, 30 = 5*q - 2*o. Solve -8 = -0*u + q*u for u. -1 Let v be (-2)/12 - 2/(-12). Suppose 4*n + 3*j = -v*n + 744, n - 185 = -j. Let c be n/35 + 6/(-15). Solve 11 = c*p - 14 for p. 5 Suppose -362*o - 20 = -366*o. Suppose 5*n = -6*b + 2*b - 75, 0 = -5*b + 3*n - 103. Let z be o/(b/(-18)) - 5/10. Solve -1 = -p + z for p. 5 Let s be (-2)/(-15) + 1630/375*40. Solve s = 35*v - 36 for v. 6 Let k(c) = -73*c + 59. Let d be k(4). Let r = -228 - d. Solve 10 = -r*m - 0 for m. -2 Let b = -16377 + 16386. Solve -39 - b = 12*t for t. -4 Let m(o) = -3*o - 34. Let y be m(-12). Let x be -1 - (1300/(-338) - y/13). Solve x*g = -10 + 25 for g. 5 Let y(t) = -48*t + 3938. Let a be y(81). Solve 0 = -163*s + 138*s + a for s. 2 Let y(o) = 2*o**3 + 4*o**2 - 5*o + 1. Let d be y(-5). Let f be (-2 + 0)*(d/8 + 3). Solve 4*p - f = -5 for p. 5 Let l(z) = -z**2 - 23*z - 13. Let b be l(-22). Let c be 2/b + (-79)/(-9). Let t be c/6*(-12)/(-9) + -2. Solve -k + 7 - 2 = t for k. 5 Suppose 5*j - 4*a = -494, 4*j - 2*j + 191 = -5*a. Let n = -80 - j. Solve 5*x - n = -x for x. 3 Let p(o) = o + 1. Suppose -38*t = -32*t - 12. Let y be p(t). Solve 1 = -g - y for g. -4 Suppose 2*b = 2*c - 0*c - 6, 25 = 5*b + 3*c. Let j(y) = y**2 - 94*y + 2211. Let z be j(45). Solve -b - 22 = z*r for r. -4 Suppose 48 = 3*n - 5*d - 24, 5*n + 2*d - 120 = 0. Let z be 6/(-10)*80/n*-3. Solve 2*m - 4*m = -z*m for m. 0 Let o = -111 + 136. Suppose -o*l = -30*l. Let h = 0 - -2. Solve -h*a - 10 = -l*a for a. -5 Suppose -74*i + 145*i - 22578 = 0. Solve n = -i + 322 for n. 4 Let d be 39*(-9)/(-27) + -13. Solve -12*x + 25 + 35 = d for x. 5 Let n = 172 - 168. Let m be (12/3 - n)*-1. Solve 65*k - 66*k - 4 = m for k. -4 Let k = 19942 - 19942. Let g(r) = r**3 + 2*r**2 - 4*r. Let z be g(-3). Solve -z*t + 9*t = k for t. 0 Let a = 6327 - 5939. Solve -a*c = -392*c + 16 for c. 4 Let x(p) = 3*p - 18. Let n be x(7). Let y(c) = -54*c**2 + 24*c**2 - c + 48*c**2 - c**n + 20. Let i be y(18). Solve 2*g - 2 = i for g. 2 Let j = -24 + 30. Let t(g) = 2*g**3 - 14*g**2 + 8*g - 6. Let y be t(j). Let x be -4 + ((-14)/5)/(12/y). Solve -x*h = -2*h for h. 0 Let i(y) = 35*y**2 + 7*y + 26. Let g be i(-3). Solve -2*d - g = 38*d for d. -8 Let v be 9/(-6)*20/(-15). Suppose 0 = -v*b - 12 + 82. Solve -
{ "pile_set_name": "DM Mathematics" }
2*k + 4 + i = 0. Let s(d) = d - 4. Give s(k). -9 Let k(w) = -w + 2. Let h be k(-2). Let q(d) = -2 + d + 4*d - 2*d - h*d. What is q(-3)? 1 Let y be 1 + 0 + -2 + 18. Let v be y/5 + (-16)/40. Let p(b) = -b**3 + 2*b**2 + 2. What is p(v)? -7 Let i(p) = -p**3 - 4*p**2 + 3*p + 2. Let v(c) = c**3 + 5*c**2 - 14*c - 5. Let g be v(-7). Calculate i(g). 12 Let a(b) be the first derivative of b**2/2 + 5*b + 16. Determine a(-7). -2 Suppose 8 - 23 = h - 5*n, -2*h + 3*n = 16. Let p(m) = m + 3. Calculate p(h). -2 Let h(z) = -z**3 + 5*z**2 + z - 5. Suppose -16 = -2*i - 2*i. Suppose 3*q + 10 = 2*a, 6 = -i*q + a + 1. Let o be (-1)/(q + 2/(-10)). Calculate h(o). 0 Suppose -1 = -f - 3. Let g(s) be the first derivative of s**5/40 + s**4/24 - 2*s**3/3 - 1. Let q(d) be the third derivative of g(d). Calculate q(f). -5 Let b be 3/4 - (-2)/8. Let j(t) = 2*t + t**3 + 1 - b + 5*t**2. Suppose -2*h + 1 = 9. Calculate j(h). 8 Let p(a) = -a**2 + 4*a - 2. Suppose -2*y + 4*z + 20 = 0, -4*y = -5*y + 3*z + 12. Give p(y). -14 Let i(q) = -q - 7. Suppose 0 = 4*g + 7*h - 3*h, h = -4*g - 9. Let u be (2/g)/(12/108). Determine i(u). -1 Let f(z) = 2*z - 4*z**2 + 0*z - 6 + 2 + z**3. Suppose 4*h - 15 = 9. Suppose -i = -h*i + 15. Determine f(i). -7 Let m = 10 + -7. Suppose 7*r = m*r + 4. Let g(n) = 4*n - 3*n + r - 2*n. Calculate g(2). -1 Let u(x) be the third derivative of -x**6/120 - x**4/24 + 7*x**3/6 + 2*x**2. Let q = -5 + 13. Let o be 0/((-1)/((-4)/q)). What is u(o)? 7 Let n(c) = -10*c**2 - 2*c + 3*c**2 + 6*c**2 - 2. Give n(-2). -2 Let j(z) = -z**2 + 5*z - 1. Let b be j(5). Let r(o) = o**2 - o + 1. Let v(s) = 6*s - 8. Let n(m) = b*r(m) + v(m). What is n(6)? -3 Let y(s) = -2*s**3 + s**3 - 10 + 6*s**2 + 8*s + 4. Give y(7). 1 Let d(f) = 8 + 12*f**2 + 5*f - 5*f**2 - 8*f**2. Calculate d(7). -6 Let v(o) = -1 + 5*o + 4 - 2. Let s = 14 + 5. Let b = -17 + s. What is v(b)? 11 Let g(k) = -6*k**2 + 13*k - 6. Let b = -20 + 25. Let j(p) = -7*p**2 + 14*p - 7. Let n(u) = b*j(u) - 6*g(u). Determine n(8). 1 Let i = -5 - -9. Let q(b) be the third derivative of 1/60*b**5 + 0 - b**2 + 1/12*b**i + 0*b + 1/6*b**3. Give q(-1). 0 Let f(d) be the first derivative of 0*d**2 + 2/3*d**3 - 7/24*d**4 + 0*d + 1/120*d**5 + 3. Let l(g) be the third derivative of f(g). What is l(0)? -7 Let w(y) = -2*y + 3. Let t be 9/(-45) + 21/5 + -2. What is w(t)? -1 Let m(l) = -l**3 + 5*l**2 + 5*l + 4. Suppose -4*b - 5*i = 0, 4*i + 31 = 2*b + b. What is m(b)? 29 Let y(u) be the second derivative of u**3/6 + 2*u**2 + u - 2. Give y(3). 7 Let b(s) = -14*s - 14. Let g(m) = 5*m + 5. Let p(v) = 6*b(v) + 17*g(v). Give p(-5). -4 Let h(g) = -7*g**2 + 1. Let d be 6/(-6) - (-1 + 8). Suppose 0*m + 8 = 4*m. Let q be (-4)/d*(-4 + m). What is h(q)? -6 Suppose 5*i + 26 = 3*k, -k + 6*i - 3*i = -14. Let j be -3 + k - (4 - 3). Let t(b) = 3*b + 1. Determine t(j). -5 Let a(m) = 11*m**3 + m. Suppose 6*s - s = 5. Calculate a(s). 12 Let o(l) = -6*l - 3*l**2 + 4 + 2 + 5*l**2 - 3*l**2. Determine o(-6). 6 Let d(t) = t - 19. Let j be d(14). Let f(q) = -3*q + 3. Let p(s) = 3*s - 4. Let v(o) = 5*f(o) + 4*p(o). Determine v(j). 14 Let q(r) be the third derivative of r**5/60 - r**4/24 - 5*r**3/6 - r**2. Let x(z) = -z**3 - 5*z**2 - 4*z. Let i be x(-4). Determine q(i). -5 Let a(r) = 6*r**2 + r. Suppose 3*k - 4 = 8. Suppose 3*w + 1 - k = 0. What is a(w)? 7 Let c = 2 - 0. Let u(g) = 2*g**2 - 2*g. Let f be u(2). Let j(s) = -4 - f + 6 + s**2 + 3*s. Calculate j(c). 8 Let t(v) be the third derivative of v**6/360 - v**4/24 + 5*v**3/6 + 5*v**2. Let b(c) be the first derivative of t(c). Determine b(-2). 3 Let t = 10 - 7. Suppose o = 1, -f - 2*o + 3 = -3. Suppose 0 = -t*q - 4*u - 6, 2*q + 1 + f = -3*u. Let c(k) = -2*k + 3. Determine c(q). -1 Let k(v) be the first derivative of v**5/60 - 7*v**4/24 + 2*v**3/3 - 5*v**2/2 - 1. Let g(f) be the second derivative of k(f). Give g(5). -6 Let i(v) = -6*v + 3. Let d be i(-1). Let g(s) = s - 11. Determine g(d). -2 Let b = 0 - -1. Let n be (b/(-2))/((-1)/(-
{ "pile_set_name": "DM Mathematics" }
ive of -93287*s**5 - 73305*s. -1865740*s**3 What is the first derivative of 4*w**2 - 53513*w + 156117? 8*w - 53513 What is the second derivative of -t*u**2 + 2*t*u + 24686*u**2 + 3*u - 7498 wrt u? -2*t + 49372 What is the third derivative of 113*x**4 - 309*x**3 + 3*x**2 + 17539*x wrt x? 2712*x - 1854 What is the first derivative of -6*i*m**4*u + 10*i*m**2 + 9*i*u - 371*i - 20*m**2*u - 11*u + 2 wrt m? -24*i*m**3*u + 20*i*m - 40*m*u What is the first derivative of -117799*f*q + f + 11*q + 550336 wrt q? -117799*f + 11 What is the second derivative of -15800*d**5 + 8*d**4 - d**2 + 6291*d wrt d? -316000*d**3 + 96*d**2 - 2 Find the second derivative of -124*x**5 + 414*x**2 - 1003974*x. -2480*x**3 + 828 Find the second derivative of 1029446*b**2*n**2 + b**2*n + 3*b**2 - 27214*b*n - n wrt n. 2058892*b**2 Differentiate h**3*i + 421*h**3 - 2*h**2*i + 23717*h*i*r - 888*h*r wrt i. h**3 - 2*h**2 + 23717*h*r Find the second derivative of 310706*l**2 + 16009*l. 621412 Find the second derivative of 321910*y**5 + 16944*y - 1 wrt y. 6438200*y**3 Find the second derivative of 6*c**4 + 2*c**3 + 1449*c**2 + 58903*c. 72*c**2 + 12*c + 2898 What is the derivative of 2132*g**3 + 7*g**2*w - g**2 + 745*w + 60 wrt g? 6396*g**2 + 14*g*w - 2*g What is the second derivative of -2693901*d**2 - 3*d + 73677? -5387802 Find the third derivative of -63*q**6 - 1216*q**3 + 352268*q**2 wrt q. -7560*q**3 - 7296 What is the second derivative of -2517768*i**4 - 579*i + 166? -30213216*i**2 What is the third derivative of 295707*r**2*x**3 - 639*r**2*x**2 - 657*r**2*x + r wrt x? 1774242*r**2 What is the third derivative of m**3*z**3 - 2*m**3*z - 5*m**2*z**2 - 47672*m*z**3 - 5*z**2 - 6222*z - 2 wrt z? 6*m**3 - 286032*m Differentiate -23*i**2*k + 10155*i*k + 1107233*k with respect to i. -46*i*k + 10155*k Find the third derivative of -8*a**5*b + 296*a**4*b**2 + 22996*a**2*b**2 + 2*b**2 wrt a. -480*a**2*b + 7104*a*b**2 Find the second derivative of 25*o*y**3 + 327*o*y**2 - 4*o*y - 10*o + y**3 + 2*y - 14 wrt y. 150*o*y + 654*o + 6*y Find the first derivative of -133414*d - 44480. -133414 What is the third derivative of -1734296*z**5 + 2*z**4 + z**3 + 3317281*z**2 wrt z? -104057760*z**2 + 48*z + 6 What is the second derivative of 1618*v**4 + 212*v**2 - 1274174*v + 1 wrt v? 19416*v**2 + 424 Differentiate -1355*n**3*w**3 - 196361*n**3 - 141*w**4 wrt w. -4065*n**3*w**2 - 564*w**3 What is the third derivative of -155610*g*j*l**6 + 8*g*j*l**2 + 2*g*j*l - 2*g*j + g*l**5 + 16180*g*l - 3*g + j wrt l? -18673200*g*j*l**3 + 60*g*l**2 What is the second derivative of 848368*t**3 - 208*t - 2073 wrt t? 5090208*t Find the third derivative of -79*r**4 + 4065*r**3 - r**2 - 87*r + 3830 wrt r. -1896*r + 24390 Find the third derivative of -46341*x**5 - 5*x**2 - 4563 wrt x. -2780460*x**2 Differentiate 34205*f - 34673 with respect to f. 34205 Find the second derivative of -2*q**4 + 1202*q**3 + 2*q**2 - 252*q + 509 wrt q. -24*q**2 + 7212*q + 4 What is the second derivative of -4*l**3 - 12081*l**2 - 673201*l wrt l? -24*l - 24162 What is the second derivative of -195066*d**4 + 6*d - 31559 wrt d? -2340792*d**2 What is the second derivative of 1292*m**3*q**2 - 97*m**3*q + 15*m**2*q**2 - 5*q wrt q? 2584*m**3 + 30*m**2 Differentiate 648*h**3 - 40*h**2 - h - 433528. 1944*h**2 - 80*h - 1 Find the third derivative of -2*c**3*l**2 + 3502998*c**3*l + 478818*c**2*l**2 - 4*c*l**2 wrt c. -12*l**2 + 21017988*l Differentiate 2*g**2 + 2*g*j*t**2 + 7*g*t**2 + 40*g + 2*j*t**2 - j*t - 3*j - 104*t**2 + t with respect to g. 4*g + 2*j*t**2 + 7*t**2 + 40 Find the third derivative of -16*l**3*v - 727*l**3 - 11034*l**2*v + 4*l**2 wrt l. -96*v - 4362 What is the second derivative of 3*q**4 - 566*q**2 + 13314*q wrt q? 36*q**2 - 1132 Differentiate -13*a**3 - 143*a + 14216. -39*a**2 - 143 Find the first derivative of 29*d*v**4 + 3391*d*v**2 + 305915*d wrt v. 116*d*v**3 + 6782*d*v Find the third derivative of 114816*h**5 - 2*h**3 + 3*h**2 + 12549*h. 6888960*h**2 - 12 What is the first derivative of 2*p**2*z**2 - 14*p**2*z + 170773*p**2 - 122*p*z wrt z? 4*p**2*z - 14*p**2 - 122*p What is the derivative of 3343518*d*f**3*i**3 - 13*f**3 + 2*f**2*i**3 + 31*f**2*i**2 - 570*f*i**3 + i**3 wrt d? 3343518*f**3*i**3 Differentiate -551*c*j + 2*c + 57*j + 61799 with respect to j. -551*c + 57 What is the third derivative of -4*j**4 - 411
{ "pile_set_name": "DM Mathematics" }
nder when (0 + 1 + 297)/1 is divided by r? 10 Let c(x) = 12*x - 7. Let d be c(-2). Suppose h = -y + 40, -3*y - 5*h = -2*y - 48. Calculate the remainder when (-790)/(-7) - d/217 is divided by y. 37 Let m(o) = 95*o**2 - 150*o - 297. Let s(f) = 19*f - 2. Calculate the remainder when m(-2) is divided by s(3). 53 Let v(n) = 358*n + 2434. What is the remainder when v(0) is divided by 56? 26 Let m = 6420 - 6366. Calculate the remainder when m is divided by 5. 4 Let l(o) = 94*o + 26. Calculate the remainder when 238 is divided by l(0). 4 Let u(q) = q**3 + 9*q**2 - 4*q - 20. Let p be u(-9). Suppose -82 = -7*d + p. What is the remainder when 55 is divided by d? 13 Suppose u + 5*l + 22 = 53, 5*l - 93 = -3*u. Calculate the remainder when 3718 is divided by u. 29 Let l(r) = -8*r + 1. Let f = -196 + 195. Calculate the remainder when 10 is divided by l(f). 1 Suppose 575 = 3*d + 2*d. Suppose -1521*i - 21011 + 31982 + 36180 = 0. Calculate the remainder when d is divided by i. 22 Suppose 7*m - 6*m = 79. Let j = -14 + m. What is the remainder when j is divided by 34? 31 Let h(f) = 10*f + 125. Let i be h(-13). Suppose 4*z + 34 = 646. What is the remainder when z is divided by (78/i)/((-48)/80)? 23 Let l = 14 + 5. What is the remainder when l is divided by 641/4487 - (55/(-7) - 0)? 3 Let t(b) = 2*b**2 + 66*b + 4533. What is the remainder when t(-76) is divided by 8? 5 Let h = 1654 + -1600. Suppose 896*t + h = 902*t. What is the remainder when t is divided by 7 + -1*(-1 + 0)? 1 Suppose 5*t - t + 2*d = 254, 5*d = -5*t + 315. Let b = 68 - t. What is the remainder when 28 is divided by 15 + -4 - (b/2)/2? 8 Let a = 354 - 338. What is the remainder when 123 is divided by a? 11 Let f(t) = t**2 + 4*t + 5. Suppose 25 = 5*g, 2*c = -5*g + 12 + 21. What is the remainder when 40 is divided by f(c)? 3 Let f = 38430 + -38204. Calculate the remainder when 1349 is divided by f. 219 Let d(r) = 172*r**2 + 1545*r - 3. Calculate the remainder when 1243 is divided by d(-9). 19 Suppose 0 = -28*l + 25*l + 87. What is the remainder when 314 is divided by l? 24 Let z = 57 + -54. Suppose r - 2*t = 3*t - 13, -3*r + 3*t = z. Suppose -3*d = r*s - 9, -3*d + s = -3*s - 27. Calculate the remainder when 7 is divided by d. 2 Suppose 3*h + 5*i + 167 - 750 = 0, -4*h + i + 785 = 0. What is the remainder when 407 is divided by h? 15 Let o be 1786/6 - -5 - (-5)/(-3). Suppose 2*p - 3*p = 2*u - o, -1530 = -5*p - 5*u. Calculate the remainder when p is divided by 12. 11 Suppose 28*j - 5*j = 184. Calculate the remainder when ((-7)/(-21))/((-4)/(-1044)) is divided by j. 7 Suppose 19*k = 12*k + 7. Let f(i) = -77*i + 66. Let b(z) = 6*z - 5. Let n(l) = 66*b(l) + 5*f(l). Calculate the remainder when 74 is divided by n(k). 8 Suppose 36 = -8*m + 14*m. What is the remainder when 89 is divided by -4 - -44*4/(m - -2)? 17 Let y(s) = 5*s - 7. Let b be y(5). Let r = 29 - b. Let g = -72375 - -72380. What is the remainder when r is divided by g? 1 Let l(s) = s - 18. Let f be l(22). Suppose -5*j + f*i + 4 = 0, 4*j - 4 = -3*i + 6*i. Calculate the remainder when 15 is divided by j. 3 Let z(k) = -k**2 + 47*k - 165. Let t be z(4). Suppose -4*h + 3*d = -2010, d + 502 = -6*h + t*h. Calculate the remainder when h is divided by 39. 36 Suppose 5*v - 287 = -4*b + 300, -v + 5*b = -129. Let l = -350 + 415. What is the remainder when v is divided by l? 54 Suppose -3*a - 15*a - 342 = 0. Let l(r) = 2*r**2 + 40*r + 55. Calculate the remainder when 116 is divided by l(a). 14 Suppose 326*n = -354*n + 1865920. What is the remainder when n is divided by 89? 74 Suppose -3*b - 5*l + 5185 = 0, 6*b - 8610 = b - 2*l. What is the remainder when b/(-60)*(-15)/2 is divided by 12? 11 Suppose 0 = -29*p - 91726 + 272396. Calculate the remainder when p is divided by 201. 200 Let h = 17085 + 4296. Calculate the remainder when h is divided by 99. 96 Let r(n) = 5*n**2 + 10*n + 3. Let f be r(-2). Suppose -4*y - h = -253, 0*y + y - 55 = -f*h. What is the remainder when 190 is divided by y? 62 Let n(r) = 31*r + 184. What is the remainder when n(2) is divided by 125? 121 Suppose 7*m - 11*m = -336. Let i = 94 - m. What is the remainder when 42 is divided by i? 2 Let k(q) = q + 1. Let i(t) = 5*t - 3. Let l(h) = -i(h) + 4*k(h). Let f be l(4). Calculate the remainder when 68*(f/(-2) - (5 + -8)) is divided by 13. 11 Let o = 6794 + -6634. What is the remainder when 736 is divided by o? 96 Let l be 3 - (0 - (-3 + 0)). Let v = l + -23. Let t = v + 34. What is the remainder when t is divided by 6? 5 Let n(i) = i**3 - 13*i**2 - 3*i + 191. Calculate the remainder when 1666 is divided by n(13). 146 Let p = 105 + -162. Let z(j) = -j**3 + 23*j**2 - 3*j + 6. Let s be z(23). Let k = p - s. Calculate the remainder when 14 is divided by k. 2 Let z = 3129 + -3016. Calculate the remainder when 5308 is divided by z. 110 Suppose -p - p = -48. What is the remainder when 42/189 - (34384/36)/(-4) is divided by p? 23 Let n be ((-2)/(-5))/(5/450). Suppose -3*f + 1 = d - 11, n = 2*d + 2*f. Suppose 0 = -d*a + 24*a - 144. What is the remainder when a is divided by 10? 8 Let n(r) = r**2 - 7*r - 12. Let k be n(9). Suppose k*b + 197 = 635. Suppose b = 2*g - 33. Calculate the remainder when g is divided by 20. 13 Let m(y) = 55*y - 2. Suppose -5*z = 6*c
{ "pile_set_name": "DM Mathematics" }
s the third derivative of u(c) wrt c? 180*c**2 + 90 Find the first derivative of -368*w - 136*w + 681 - 384*w - 480*w + 358*w wrt w. -1010 Let a be 5*((-3)/(-12) - 29/20). Let r be (-2)/((-10)/a*2/(-5)). What is the first derivative of -6*s**3 - 4*s**r - 4*s**3 + 15 wrt s? -42*s**2 Let q(o) = 32 - 11 + 1 - 2*o. Let m(t) = 2*t - 22. Suppose -5*j - 5 - 10 = 0. Let c(i) = j*m(i) - 2*q(i). Differentiate c(b) with respect to b. -2 Let l = 195 + -191. What is the third derivative of 36*b**2 - 760*b + 33*b**2 - 6*b**l + 760*b wrt b? -144*b Let n(p) = -40*p**2 - 4*p - 1. Let b(v) = -201*v**2 - 22*v - 5. Let i = -369 + 363. Let a(c) = i*b(c) + 33*n(c). Find the first derivative of a(d) wrt d. -228*d Let t(q) be the second derivative of -197*q**4/12 - 554*q**3/3 - 9*q + 82. Find the second derivative of t(k) wrt k. -394 Let j(u) = -6 - 4 + 14*u + 2 + 6. Let h be j(1). Find the third derivative of -18*a**2 + 21*a**6 - 44*a**6 - h*a**6 wrt a. -4200*a**3 Suppose 0 = 3*x - 20*x + 85. Find the second derivative of -3*m**2 + 331*m**x - 4*m**3 - 322*m**5 + 4*m**3 + 3*m wrt m. 180*m**3 - 6 Let p(a) = 371*a**4 + 941*a**2 - 14*a + 4. Let i(b) = b**2 + 3*b - 1. Let s(f) = -4*i(f) - p(f). What is the third derivative of s(t) wrt t? -8904*t What is the second derivative of -4677*w**2 - 447*w**2 + 273*w - 1162*w - 1247*w - 339*w wrt w? -10248 Let a be -92 - -96 - (-10)/2. What is the second derivative of 25 - 16 + 3*c - a - 56*c**3 wrt c? -336*c Let f(u) = 33*u**3 - 15*u**2 + 7*u + 2662. Let d(b) = -2*b**3 - 5*b**2 + 3*b - 1. Let t(a) = -3*d(a) + f(a). Differentiate t(j) with respect to j. 117*j**2 - 2 Let o(d) be the third derivative of -3 + 23/8*d**4 + 0*d + 26*d**3 - 18*d**2. Differentiate o(b) wrt b. 69 Find the third derivative of 2*g**2 + 1233*g**3 + 5918 + 0*g**2 - 5609 wrt g. 7398 Let p(x) be the second derivative of -231*x**5/20 + x**3 + 111*x**2 + 2*x + 291. Differentiate p(j) with respect to j. -693*j**2 + 6 Suppose o - 24 = p - 2*o, -3*o + 72 = -5*p. Let j be p/(-16) - (-2)/8*13. Find the third derivative of -23*x**2 + j*x**3 + 7*x**3 + 7*x**2 wrt x. 66 Let g(k) be the first derivative of -k**6 - 35*k**4/12 - 67*k - 66. Let b(r) be the first derivative of g(r). What is the third derivative of b(p) wrt p? -720*p Find the second derivative of -x**4 - 376 + 350 + 7*x**3 - 8*x + 8*x**3 + 9*x**2 - 23*x - 4*x wrt x. -12*x**2 + 90*x + 18 What is the third derivative of -41 + 3*s**3 - 5*s**3 + 34 + 5*s**3 - 41*s**2 + 1159*s**4 - 308*s**4 wrt s? 20424*s + 18 Suppose -7507*h = -7513*h + 13 + 5. Let b(i) be the second derivative of 0 - 8*i + 0*i**2 - 10/3*i**h - 2/3*i**4. What is the second derivative of b(y) wrt y? -16 Let k(y) be the third derivative of -23*y**5/4 + 391*y**4/12 - y**3/3 - 307*y**2. What is the second derivative of k(z) wrt z? -690 Let a(k) = -k**3 + k**2 - 6. Let l(h) = -4103*h**3 - 5*h**2 - 390. Let j(q) = 5*a(q) + l(q). What is the first derivative of j(p) wrt p? -12324*p**2 Let v(k) be the second derivative of 0*k**6 - 6 - 17/14*k**7 - 4*k - 3*k**4 + 0*k**3 + 0*k**5 + 0*k**2. Find the third derivative of v(c) wrt c. -3060*c**2 Let a(u) = 6*u**3 - 2*u**2 - 3*u. Let b(d) = 26*d**3 - 3813*d**2 - 13*d + 2249. Let z(g) = 4*a(g) - b(g). Find the second derivative of z(c) wrt c. -12*c + 7610 Let v(s) = s**5 + 48*s**3 + 1491*s + 8. Let u(b) = -b**5 - 143*b**3 - 4472*b - 22. Let z(g) = 4*u(g) + 11*v(g). What is the second derivative of z(j) wrt j? 140*j**3 - 264*j Let j(h) be the first derivative of -610*h**4 - 234*h**2 - h + 6468. Find the second derivative of j(w) wrt w. -14640*w Let l(f) be the first derivative of 1651*f**6/2 - f**2 - 6186*f + 3702. What is the second derivative of l(r) wrt r? 99060*r**3 Suppose 31 = 7*a + 3. Find the third derivative of 5*j - 27*j**4 + 317 - 317 - a*j - 8*j**2 wrt j. -648*j What is the second derivative of 5*p + 170*p + 37472 - 37473 - 19*p**5 + 279*p**5 wrt p? 5200*p**3 Let c(r) = r + 8. Let x be c(-4). Let j be (x/18)/(4/36). Find the second derivative of 9*m**2 + 10*m**j + m**2 + 2*m + m**2 wrt m. 42 Find the second derivative of 531*w**5 - 1732*w**5 - 209*w - 1327*w**5 wrt w. -50560*w**3 Let x(c) be the third derivative of -c**8/336 + 233*c**7/105 + c**6/30 + 8707*c**5/60 + 22*c**2 - 30*c. What is the third derivative of x(l) wrt l? -60*l**2 + 11184*l + 24 Let q(h) be the second derivative of -22*h - 1/4*h**4 - 117/2*h**2 - 3*h**3 + 0. What is the first derivative of q(x) wrt x? -6*x - 18 Suppose -6*z + z
{ "pile_set_name": "DM Mathematics" }
5*z - 6 What is the second derivative of 226*v**4 + v**3 + 77*v - 2? 2712*v**2 + 6*v Find the third derivative of k*o**4 + 66*k*o**3 + 58*k*o**2 wrt o. 24*k*o + 396*k Find the second derivative of 2*c**2*d*k - 12*c**2*k**2 - 7*c**2 + 2*c*d*k**3 - 8*c*d*k - 8*d*k**3 wrt k. -24*c**2 + 12*c*d*k - 48*d*k What is the second derivative of 72*z**4 + 2*z - 13 wrt z? 864*z**2 Find the second derivative of -10*b**3 + 11*b**2*w**2 - 36*b*w**2 - b wrt b. -60*b + 22*w**2 Find the second derivative of 2*d*n**4 + 11*d*n + 142*n**5 + 2*n wrt n. 24*d*n**2 + 2840*n**3 Find the second derivative of 633*l**4 + 326*l. 7596*l**2 What is the derivative of 27*k*p**2 - k - 225*p**2 wrt k? 27*p**2 - 1 Differentiate -i**3*q**3 + 22*i**3 - 9*i*q + 505*q**3 with respect to i. -3*i**2*q**3 + 66*i**2 - 9*q Find the second derivative of -26829*j**4 - 2604*j wrt j. -321948*j**2 What is the third derivative of 3*f**5*i*o - 22*f**4*o - f**3*o - f**2*i + 2*f**2*o + 19*i*o wrt f? 180*f**2*i*o - 528*f*o - 6*o Differentiate -20*t**2*y**2 - t**2*y - 3887*t**2 - 4*t*y**2 wrt y. -40*t**2*y - t**2 - 8*t*y What is the third derivative of -544*i**6 + 1324*i**2 wrt i? -65280*i**3 Find the second derivative of -k**2*s + 66*k**2 + k*s - 2*k - 6*s wrt k. -2*s + 132 Differentiate -34*b*r*y + b*r + 36*b*y - b + 9*r*y - 2 wrt r. -34*b*y + b + 9*y Find the second derivative of 169*b*h**2*z**2 - b*h**2*z - 5*b*z + 2*b - 4*h**2 wrt z. 338*b*h**2 What is the third derivative of -3*a**4 + 57*a**3*z**2 - 2*a**3*z + 25*a**2 + 19*z**2 wrt a? -72*a + 342*z**2 - 12*z What is the second derivative of 19*h**3*p**3 - 22*h**3*p - h**2*p**3 + h*p - 1 wrt p? 114*h**3*p - 6*h**2*p Find the third derivative of 1220*h**3 - 7*h**2 + 46*h - 1. 7320 What is the third derivative of 1090*r**5 + 59*r**2 + r + 7? 65400*r**2 Find the third derivative of -a**2*i**3 - a**2 - 4*a*i**2 + 2*a + 35*i**3 wrt i. -6*a**2 + 210 What is the second derivative of -15011*r**3 - 739*r + 10? -90066*r What is the derivative of 2*p**2 - 742*p - 680? 4*p - 742 What is the first derivative of -2309*p - 4611 wrt p? -2309 Differentiate -2*h**2*k**3 + 69*h**2*k + 102*k**3 - 2 wrt h. -4*h*k**3 + 138*h*k Find the third derivative of -585*b**6 - b**2 - 321. -70200*b**3 What is the derivative of -3*o**2 - 7*o*w**2 - 2*w**2 - 16 wrt o? -6*o - 7*w**2 What is the second derivative of -2*o**5 - 45*o**2 + 270*o wrt o? -40*o**3 - 90 Differentiate 2*a**3*d + 2*a**3*o - 6*a**2*d*r - 3*a**2*o*r - 2*a**2*r + 14*a*d*o + 5*a*d with respect to o. 2*a**3 - 3*a**2*r + 14*a*d What is the second derivative of -93*b**2*h**2*n + 3*b**2*n - 3*b*h**2*n - 9*b*n - 2*n wrt b? -186*h**2*n + 6*n Find the third derivative of -5*b**4 + 95*b**3 - 7*b**2 - 72*b - 2. -120*b + 570 Find the first derivative of c*m**2*q - 267*c*q**2 - 50*m**2 + 2*q**2 wrt c. m**2*q - 267*q**2 Find the third derivative of -754*o**4*x**3 - o**4*x + 2*o**2*x**3 + 1051*o**2*x wrt o. -18096*o*x**3 - 24*o*x Differentiate -6*o**2 - 16*o - 12 wrt o. -12*o - 16 What is the derivative of 224*f**2*x + 14*x + 5 wrt f? 448*f*x Find the third derivative of 2*d**3*s**3*w**3 + 6*d**3*s**2*w**2*x + 2*d**3*s**2 - 5*d**2*s**2*w**3 + d**2*w**3*x + 2*s**3*w**3 + 42*s**3*x wrt s. 12*d**3*w**3 + 12*w**3 + 252*x Differentiate 3*c**3*o*p - 176*c**3*o + 3*c**2*o - 52*c*o*p + 7*c - 2*o*p with respect to p. 3*c**3*o - 52*c*o - 2*o What is the second derivative of -3*c**2*n**2 + 10*c**2*n*p**2 - 183*c**2*p + 7*n**2*p**2 + 3*p**2 + 1 wrt p? 20*c**2*n + 14*n**2 + 6 Find the second derivative of -14614*b**5 - 20*b + 72. -292280*b**3 Find the third derivative of 1144*m**3*s**3 + 3*m**3 + 2*m**2*s**2 - 10*s**2 wrt s. 6864*m**3 Find the third derivative of -2*q**3*u**3 - 3*q**3*u - q**3 - 19*q*u**4 - 259*u**4 + 26*u**2 - 5*u wrt u. -12*q**3 - 456*q*u - 6216*u Find the second derivative of -322*w**2 - 471*w wrt w. -644 What is the second derivative of 484*v**5 + 3*v**4 - v**3 + 5072*v? 9680*v**3 + 36*v**2 - 6*v What is the derivative of -3844*g**3 - 794 wrt g? -11532*g**2 Find the second derivative of 35*b**2*j**2*s - b**2 - b*j**2*q*s - 2*b*j*q*s
{ "pile_set_name": "DM Mathematics" }
292410 Calculate the common denominator of -31/20332 and -31/8840. 203320 Find the common denominator of -137/3216 and 161/45828. 183312 What is the common denominator of 67/210 and -43/107790? 754530 What is the common denominator of -73/15180 and 6/115? 15180 Calculate the common denominator of -149/22002 and 16/473043. 946086 Calculate the smallest common multiple of 165 and 942. 51810 What is the smallest common multiple of 250 and 952400? 4762000 What is the smallest common multiple of 18 and 3075052? 27675468 Calculate the common denominator of -47/48 and -17/489198. 3913584 Find the common denominator of -127/990 and 193/715860. 7874460 Find the common denominator of -113/4470 and -88/51405. 102810 Calculate the common denominator of -49/74030 and -113/220. 148060 Calculate the least common multiple of 1425897 and 27. 1425897 What is the lowest common multiple of 44872 and 628208? 628208 Calculate the smallest common multiple of 1521 and 8788. 79092 Calculate the lowest common multiple of 70266 and 1176. 281064 Calculate the smallest common multiple of 32 and 97376. 97376 Find the common denominator of -39/136 and -133/49488. 841296 Find the common denominator of 53/198098 and -81/8. 792392 Calculate the common denominator of -98/471735 and -50/351. 18397665 What is the common denominator of 80/155397 and -2/5049? 1398573 What is the common denominator of 44/363485 and 51/6799? 4725305 Calculate the common denominator of 85/153252 and 10/39. 1992276 What is the lowest common multiple of 63710 and 25484? 127420 What is the least common multiple of 388265 and 35? 2717855 What is the least common multiple of 1202526 and 648? 4810104 Calculate the least common multiple of 384 and 61920. 247680 Calculate the common denominator of 76/195 and 103/108498. 542490 What is the smallest common multiple of 275220 and 27522? 275220 Calculate the lowest common multiple of 67 and 65. 4355 Calculate the common denominator of -5/3834 and -53/702. 49842 Find the common denominator of -1/34903 and -85/12692. 139612 What is the least common multiple of 27 and 61302? 551718 Calculate the common denominator of -52/1629 and 73/5985. 1083285 What is the least common multiple of 1449 and 210749? 1896741 Find the common denominator of 53/1830693 and -101/1108. 7322772 What is the smallest common multiple of 107772 and 399? 2047668 Calculate the lowest common multiple of 160136 and 4328. 160136 What is the smallest common multiple of 37632 and 3577? 2747136 What is the lowest common multiple of 38979 and 153? 662643 Calculate the lowest common multiple of 3696 and 7546. 181104 What is the common denominator of -149/8274 and -53/3? 8274 Calculate the least common multiple of 1504503 and 121. 16549533 Calculate the smallest common multiple of 114 and 1152. 21888 Calculate the common denominator of 33/14 and -5/2338. 2338 Calculate the common denominator of -97/9846 and 27/9299. 167382 Find the common denominator of -55/46854 and -59/1370. 234270 What is the common denominator of -38/39077 and -101/138? 234462 What is the least common multiple of 10686 and 73021? 438126 Calculate the common denominator of 173/60 and -55/18252. 91260 Calculate the common denominator of -163/2640 and 169/6960. 76560 Calculate the common denominator of 23/10812 and 79/228. 205428 Find the common denominator of -43/590 and 48/6313. 63130 Find the common denominator of -36/68365 and 58/5445. 615285 What is the smallest common multiple of 169910 and 130? 169910 Find the common denominator of 38/20085 and 47/147. 984165 Calculate the smallest common multiple of 615 and 255. 10455 What is the common denominator of -17/1716 and 97/6760? 223080 Calculate the lowest common multiple of 19428 and 262278. 524556 Find the common denominator of 21/2 and 14/584849. 1169698 What is the lowest common multiple of 99 and 9918? 109098 Calculate the lowest common multiple of 57807 and 36. 231228 What is the least common multiple of 8938 and 2? 8938 Calculate the smallest common multiple of 3038 and 296205. 592410 What is the lowest common multiple of 15699 and 235485? 235485 Calculate the least common multiple of 628 and 13345. 53380 Find the common denominator of 103/17486 and 53/57454. 402178 Calculate the lowest common multiple of 135 and 8870. 239490 Find the common denominator of 41/5860 and -107/180. 52740 Find the common denominator of -89/34344 and 7/24. 34344 Calculate the lowest common multiple of 304476 and 8. 608952 Find the common denominator of -103/7708 and -151/4512. 184992 Calculate the common denominator of 58/81225 and -68/9. 81225 What is the smallest common multiple of 210 and 1395? 19530 What is the common denominator of -97/500 and -13/122? 30500 What is the smallest common multiple of 1876 and 5829? 163212 What is the common denominator of 22/21413 and -57/8? 171304 Calculate the common denominator of 93/1734890 and -67/114. 5204670 What is the lowest common multiple of 5604 and 44? 61644 Calculate the common denominator of -59/22 and 151/36306. 399366 Calculate the lowest common multiple of 25836 and 612. 1317636 Calculate the lowest common multiple of 48 and 928. 2784 Find the common denominator of 109/6 and -85/241872. 241872 What is the least common multiple of 38590 and 1340? 5171060 What is the common denominator of -53/8036 and -101/42? 24108 Calculate the least common multiple of 7790 and 8265. 677730 Calculate the common denominator of -9/11 and 57/21373. 21373 Find the common denominator of 175/24684 and 55/1632. 197472 Calculate the common denominator of 27/24955 and 107/49910. 49910 What is the lowest common multiple of 166144 and 96? 498432 Calculate the common denominator of -51/2092 and 8/39225. 156900 What is the common denominator of -31/413875 and -57/188125? 2069375 What is the common denominator of 56/74259 and 2/4237? 1410921 Find the common denominator of 57/1816 and -119/80. 18160 Find the common denominator of -53/42760 and -85/16. 85520 Calculate the common denominator of 34/551 and 7/684. 19836 Calculate the common denominator of 27/10 and 119/4110. 4110 Calculate the common denominator of -131/337110 and 57/52880. 2696880 Calculate the common denominator of -179/6660 and -53/60. 6660 What is the smallest common multiple of 105 and 11319? 56595 What is the common denominator of 53/21015 and 35/123? 861615 What is the common denominator of 71/220 and 33/23600? 259600 Calculate the common denominator of -67/103890 and -53/6. 103890 Calculate the least common multiple of 18960 and 660. 208560 Calculate the common denominator of -48/356771 and -71/82970. 3567710 What is the common denominator of 89/85226 and -143/12? 511356 Calculate the lowest common multiple of 77650 and 427075. 854150 What is the least common multiple of 61365 and 306825? 306825 Calculate
{ "pile_set_name": "DM Mathematics" }
s the third biggest value in l, 0.5, 0? l Let r = -181/4 + 45. Let t be (19/(-209))/((-1)/2). What is the third smallest value in r, -3/4, t? t Let r = -0.5 + 0.4. Which is the third biggest value? (a) r (b) 0.3 (c) -2 c Suppose 0*o = 5*o - 15, 5*n + 2*o - 26 = 0. Let t = -7 + n. Which is the third biggest value? (a) t (b) 3/2 (c) 3/7 a Let s be ((5 - 5) + 183/95)*1. Let v be ((-48)/(-10))/(19/10). Let f = v - s. Which is the second biggest value? (a) 0.5 (b) 2/13 (c) f a Let x be (-1)/(-3) - (-10)/(-21). Let m = 0.1 - 2.1. What is the third biggest value in 2/3, x, m? m Let u = 0.17 + 0.23. Which is the third smallest value? (a) -0.2 (b) 4 (c) u b Let a = 75 - 35. Let n be ((-8)/a)/((-18)/10). What is the third biggest value in 0.2, 0.01, n? 0.01 Let y be 6/(-9) - 26/6. Let m = 4.3 - -0.2. Let p = m + 0.5. Which is the smallest value? (a) y (b) -2 (c) p a Let i = -101 + 107.9. Let v = 7 - i. Which is the third smallest value? (a) v (b) 4 (c) -1 b Let h = -21.6 - -22. Let q = -0.22 - 0.08. What is the third smallest value in q, -0.4, h? h Let p = 0.01 + 0.29. Let t = -2 + 6.6. Let z = 5 - t. Which is the third biggest value? (a) p (b) z (c) -4 c Let h = -6.7 + 7. Let r = 0.4 - 5.4. Which is the second smallest value? (a) r (b) -4 (c) h b Let d be (-2)/8 - 185/(-20). Suppose 2*p + d = 1. What is the smallest value in -0.1, p, -2? p Let z = -32/5 - -197/30. What is the third smallest value in 1, z, 5? 5 Let f(q) = -q**3 - 5*q**2 - 4*q + 3. Let m be f(-4). Let y = -1.2 + 2.2. Which is the third smallest value? (a) m (b) 0.4 (c) y a Let r = 81 + -79.08. Let p = -0.08 - r. What is the second smallest value in 4, -2/5, p? -2/5 Suppose 0 = 4*i - 3*i - 4. Which is the second biggest value? (a) -1/4 (b) 0.5 (c) i (d) -1/5 b Let f = 38 + -40. Let v = 0.05 - -2.95. Suppose 4*k - 1 + 5 = 0. Which is the second smallest value? (a) f (b) k (c) v b Let d = 41 + -26. Let v be (1/(-15))/(d/18). Let o = 5 - 2. Which is the second smallest value? (a) 0 (b) v (c) o a Let y(w) = w**2 - w - 1. Let o be y(-2). Let i = 9.4 + -9. Which is the smallest value? (a) o (b) i (c) -4 c Let v = 9 + -5. Suppose 40 = -v*o + 6*o. Suppose -i - 2*f = 4*i - 19, i - o = 5*f. Which is the second smallest value? (a) 0.3 (b) i (c) -2/7 a Let v = 23 + -25. Let m = 0 - 0.4. What is the biggest value in m, -2/21, v? -2/21 Let r be (-6)/20*(-8 + 10). What is the third smallest value in -0.3, r, -8/9? -0.3 Let m = 3.2 + -3. Let a = 0.009 + 0.991. What is the second biggest value in 3, a, m? a Let w(g) = -g**2 + 7*g - 1. Let m(i) = -i**2 - 7*i - 6. Let c be m(-4). Let h be w(c). Let t = -2.9 + 0.9. What is the biggest value in t, -1, h? h Suppose -13*j = -18*j - 5. What is the fourth biggest value in -6, -4, 2, j? -6 Let h(y) = 2*y**3 - 2*y**2 + 2*y. Let g be h(2). Suppose -j + 5*j = g. Let l be (-7)/4 + (-1)/4. Which is the third biggest value? (a) l (b) 1 (c) j a Let j be (-5)/(-3 + 1 + 1). Let p be (-2)/(-5) + 0/1. Let r be (-8)/5*2/24. What is the biggest value in p, j, r? j Let f be (-1)/1 + -12 + 13. What is the third biggest value in 0.1, 3, f? f Suppose 0*z = 2*z + 8. Let g be z/14 + 13/(-28). What is the third biggest value in 2, g, -4? -4 Let k = -5.12 + 0.12. Let r = k - -5.2. Let h = -0.1 + r. Which is the second biggest value? (a) -3/2 (b) -1 (c) h b Suppose 0 = -16*g + 9*g - 7. Let h = 0.2 + 0.3. Which is the smallest value? (a) h (b) -3/5 (c) g c Let n = -19 - -19.7. What is the biggest value in -5, -2/11, n? n Let i = -3.955 - -0.055. Let f = i - -1.9. Which is the smallest value? (a) 3 (b) -1/4 (c) f c Let q = 6/7 - 31/28. Let t = -5 - -5.4. Let c = -323/3 + 109. What is the third biggest value in q, t, c? q Let g = -0.08 - 3.92. What is the biggest value in -11, g, -1/4? -1/4 Let g = 77.4 - 77. Which is the fourth biggest value? (a) -0.3 (b) 0.05 (c) g (d) -4/5 d Let s be 21/(-35) - 203/(-5). Let r be (-2)/(-7) + s/(-42). Which is the smallest value? (a) -3 (b) 3/4 (c) r a Let q be (-12)/(-6) - (-5)/(-3). Let y = 29 + -31.1. Let z = y - -2. Which is the third smallest value? (a) z (b) q (c) 3/2 c Let j be -1 - (-1 - -1 - 21). Suppose -j = -4*c, -3*i - 2*c + c = -20. Let z = -4 + 7. What is the biggest value in i, 0, z? i Let u be (-9001)/(-40464) - (-2)/(-9). Let l = u - -84289/49456. Let q = 16/11 - l. Which is the smallest value? (a) 0 (b) -3 (c) q b Suppose 4*z + 8 = 0, -3*z + 0*
{ "pile_set_name": "DM Mathematics" }
by z? 12 Let d(w) = -w**2 - 4*w + 6. Let o be d(-6). Let j = -107 - -87. Let p = o - j. Calculate the remainder when 54 is divided by p. 12 Suppose -25 = -g + 89. Let r(k) = -5*k - 21. Let a be r(-2). Let t = a + g. Calculate the remainder when t is divided by 27. 22 Let h(m) = m**3 - 29*m**2 + 26*m + 86. Let p = -44 - -72. What is the remainder when 147 is divided by h(p)? 27 Suppose -81924 = -9*p + 5*y + 23205, 23362 = 2*p - y. Calculate the remainder when p is divided by 22. 21 Suppose -65*k = -82*k + 68. Suppose 53*g - 55*g = -4*v + 166, -k*v - 2*g + 186 = 0. Suppose -6 = -2*q + 12. Calculate the remainder when v is divided by q. 8 Let k(b) = 4*b**2 - 92*b + 255. Let p(t) = t**2 - 23*t + 64. Let o(r) = 2*k(r) - 9*p(r). Calculate the remainder when (-5)/(-10) - 207/(-6) is divided by o(19). 5 Let n(h) = -3*h**2 - 220. Let j(z) = 5*z**2 + z + 329. Let g(p) = -5*j(p) - 8*n(p). What is the remainder when 73 is divided by g(8)? 7 Let j(y) = y**2 - 5*y - 9. Let s be (-8)/6*5/(10/(-9)). Let w be 1 + (-22)/6 - (-4)/s. Calculate the remainder when j(w) is divided by 4. 1 Suppose -11*b + 188*b - 146016 = -39*b. Calculate the remainder when b is divided by 151. 72 Let n = 299 + -289. Suppose -5*z + n = 0, 3*j - z = -j + 98. Calculate the remainder when j is divided by 2. 1 Suppose 0 = -66*o + 4487 - 1121. Calculate the remainder when 1832 is divided by o. 47 Let m = -74 + 5. Let s = -63 - m. Suppose a - 1204 = -s*a. What is the remainder when a is divided by 29? 27 Let s(y) = 12*y**3 + 26*y**2 - 178*y - 12. What is the remainder when s(5) is divided by 410? 18 Let j = 17 - -9. Suppose 3*l - j - 184 = 0. Suppose 2*x - 7*x = -90. What is the remainder when l is divided by x? 16 Suppose -2*w - 4*y - 80 = -6*w, w + 3*y = 40. Suppose -68*j + 17*j - 1246 = -10630. What is the remainder when j is divided by w? 9 Suppose -3*d - 4*h + 8 = 36, 2*h + 2 = 0. Calculate the remainder when 116 is divided by -1 + 1 + 4 - d. 8 Let z(h) = -2*h - 3. Let j(f) = 3*f - 26. Let x(q) = -j(q) - z(q). Calculate the remainder when 56 is divided by x(-7). 20 Let x(j) = -321*j - 635. Calculate the remainder when 991 is divided by x(-2). 4 Let f = -1577 + 1679. Calculate the remainder when 222 is divided by f. 18 Suppose 2*d + 40 = -4*v + 192, 3*d + 3*v - 231 = 0. Let t(s) = s**3 + 16. Suppose a + a = 0. What is the remainder when d is divided by t(a)? 14 Suppose 449 = -12*x + 53. Let m = x - -186. Calculate the remainder when m is divided by 52. 49 Let i(q) = q**3 - 2*q**2 + 2*q - 2. Suppose 3*g + 170 = 3*l - 2*l, -2*g - 122 = -5*l. Let d = g + 59. Calculate the remainder when 18 is divided by i(d). 5 Suppose 4*a - 3*d - 29 = 3*a, -181 = -5*a - 3*d. What is the remainder when a is divided by 13? 9 Let n = 1001 - 993. Suppose 5*d - 75 = -5*w, -7 = -d - 2. Calculate the remainder when w is divided by n. 2 Let s(k) = 6*k + 16*k**2 + 2*k**3 - 8 - 2*k - 8*k**2 - 4*k. What is the remainder when s(4) is divided by 36? 32 Let q(w) = w**2 - 31*w - 99. Let g be q(34). Suppose 4*i - z = 682, 3*i - 502 = -g*z - z. Calculate the remainder when i is divided by 29. 25 Suppose i = 2*c - 41, c - 2*i = 5*c - 62. Suppose 0 = 9*a + 3*a - 1248. Suppose a = 22*b - c*b. What is the remainder when b is divided by 14? 12 Suppose -2*b = 5 + 5, -50 = -5*m + 2*b. Let r be (7 - 8)*(2 + 8). Let d(p) = p**2 + 8*p - 5. Calculate the remainder when d(r) is divided by m. 7 Let y(i) = -i**3 + 75*i**2 + 157*i - 121. Calculate the remainder when 1978 is divided by y(77). 108 Let g(w) = -2*w + 216. Let a be g(44). Let z = a - 125. Suppose -2*t - 48 = -4*j, -3*j + t + 23 = 6*t. Calculate the remainder when j is divided by z. 2 Let g(a) = -7*a - 6. Let y be g(-1). What is the remainder when (-18 - -20)/(133/(-135) + y) is divided by 17? 16 Suppose -15 = -w - 13. Let u be (-4)/8*w*-35. Suppose 0 = -4*f + u + 45. Calculate the remainder when f is divided by 7. 6 What is the remainder when 1795 is divided by (229120/64)/(5 + -1)? 5 Let n(d) = -d**3 + d**2 + 9*d - 7. Let r be n(3). Let t = r + 4. What is the remainder when 117 is divided by t? 3 Suppose -519 = -2*f + 343. Calculate the remainder when f is divided by (-6 + (-138)/(-15) - 5)/(36/(-480)). 23 Suppose -7*v - 227 = -206. Suppose -g - 4 = -20. Let t = g + v. Calculate the remainder when 48 is divided by t. 9 What is the remainder when 245 is divided by (-4 - 3/((-42)/64))/(10/1085)? 59 Suppose 5*k = -4*i + 27, -12*k - 5*i = -11*k - 18. Suppose -3*j + k*m + 99 = 0, 3*j + m = -0*m + 99. Calculate the remainder when 193 is divided by j. 28 Let l(j) = -8*j - 10. Let p be l(-1). Let x be (-3 + 0)/(p/18). Suppose -30 = 24*q - x*q. What is the remainder when 29 is divided by q? 9 Let u(q) = -5*q**3 - 3*q - 11. Let d be u(-2). Suppose -f + 3*o = -d, f - o - 5 = 24. What is the remainder when 122 is divided by f? 18 Let n = 19 + -14. Suppose -7*j + 5*j = 5*b + 19, -3*j = -9. What is the remainder when (b + 6)*(n + 3) is divided by 4? 0 Let h = 4199 - 3659. Calculate the remainder when h is divided by 534. 6 What is the remainder when (185 - 171)*2*(-1341)/(-12) is divided by 349? 337 Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
n -78*n - 28 + 28 + 7*n. -71*n Collect the terms in -186*x**2 - 178*x**2 - 237*x**2. -601*x**2 Collect the terms in 545 + 81*d**2 - 545 - 90*d**2. -9*d**2 Collect the terms in -28*c**3 + 2 + 1 + 26*c**3 - 3. -2*c**3 Collect the terms in -51068*c**2 + 3*c**3 + 51068*c**2. 3*c**3 Collect the terms in -5*l**3 - 192 - 275 + 467 + l**3. -4*l**3 Collect the terms in 272 - 19*f - 272. -19*f Collect the terms in 44*y**2 - 11920 + 11920. 44*y**2 Collect the terms in -3*q + 67*q**2 + 3*q - 70*q**2. -3*q**2 Collect the terms in -51286 - 2*p**3 + 51286 - 2*p**3. -4*p**3 Collect the terms in -113*g**3 + 198*g**3 - 100*g**3. -15*g**3 Collect the terms in -113 + 113 - 5*o**3 + 6*o. -5*o**3 + 6*o Collect the terms in 23 + 69*f**3 - 23. 69*f**3 Collect the terms in 4*p**2 - 11 - 3*p - 5*p + p + 4*p. 4*p**2 - 3*p - 11 Collect the terms in 7*k - k**3 - 2*k + 2*k**3 + 2*k. k**3 + 7*k Collect the terms in 9*h**2 - 11*h**2 + 4*h**2. 2*h**2 Collect the terms in -39415 + 19707 + 7*s + 19708. 7*s Collect the terms in 0*g**3 - 9*g - 4*g**3 - g**3 - 14*g. -5*g**3 - 23*g Collect the terms in 0*b**3 - b**3 + 2*b**3 + 2*b**3. 3*b**3 Collect the terms in 1068*c**2 + 2 - 2 + 2*c**3 - 1068*c**2. 2*c**3 Collect the terms in 27594*k**2 + 2*k - 27587*k**2 + 2*k - 4*k. 7*k**2 Collect the terms in 107*h - 14*h + 127*h - 6*h. 214*h Collect the terms in 7*l - 87 + 87 + l. 8*l Collect the terms in -2*y**2 + y**2 - 4*y**2 - 4*y**2. -9*y**2 Collect the terms in 391*p - 391*p - 34*p**3. -34*p**3 Collect the terms in 6*u**2 + u**2 - 11*u**2 - 4*u**3 + 4*u**2. -4*u**3 Collect the terms in 80*p**2 - 91*p**2 + 10*p**2. -p**2 Collect the terms in -19392 + 5*k**2 + 19392. 5*k**2 Collect the terms in -2*i**2 - 3*i**2 - i**2 + i**2. -5*i**2 Collect the terms in -35 + 6*w + 1 + 11 - 2. 6*w - 25 Collect the terms in -3*t**2 - 4*t**2 + 10*t**2. 3*t**2 Collect the terms in -2*v + v - 3*v + 1 + 3*v. -v + 1 Collect the terms in -1828 + 13*v**2 + 1828. 13*v**2 Collect the terms in -603*g**2 + 305*g**2 + 300*g**2. 2*g**2 Collect the terms in 14*b**3 + 8*b**3 - 22 + 22. 22*b**3 Collect the terms in 139*q**2 + 136*q**2 + 140*q**2. 415*q**2 Collect the terms in 327 + 2*h**3 - 655 + 328. 2*h**3 Collect the terms in -36*v**2 + 12*v**2 - 20*v**2. -44*v**2 Collect the terms in -3*q + 3*q**3 - 11 - 11 + 3*q. 3*q**3 - 22 Collect the terms in m**3 + 10*m**3 + 7*m**3 + 3*m**3. 21*m**3 Collect the terms in -25*p + 431 - 431. -25*p Collect the terms in 6 + 4*f - 2 - f + 3. 3*f + 7 Collect the terms in -8*q - 2*q + 4*q - 2*q. -8*q Collect the terms in 7*x**2 - 23*x**2 + 6*x**2 + 4*x**2. -6*x**2 Collect the terms in 19*o**3 - 46*o**3 + 22*o**3. -5*o**3 Collect the terms in -4 + 4 - 25*a**2 + 122*a**2. 97*a**2 Collect the terms in -5*l - 5*l + 17*l - 7*l + 2*l. 2*l Collect the terms in 3*w**2 + w**2 - 2*w**2 + 0*w**2 + w**2. 3*w**2 Collect the terms in 2 + 0*b**3 - 2 + b**3. b**3 Collect the terms in 8*a - 16*a + 4*a. -4*a Collect the terms in 14*c - 5*c - 6*c - 2*c. c Collect the terms in 43*j - 71*j + 27*j - 4 + 4. -j Collect the terms in 2*a**2 + 461*a - 187*a - 274*a. 2*a**2 Collect the terms in -3191*p + 6396*p - 3205*p + p**2. p**2 Collect the terms in 7*d + 7*d + 7*d. 21*d Collect the terms in 65*u**3 - 43*u**3 + 2*u**2 - u**2. 22*u**3 + u**2 Collect the terms in 23 - 2*z**3 + 4 - 27. -2*z**3 Collect the terms in -y + 101736 - 101736. -y Collect the terms in 0*h - 516 - 2*h + 3744. -2*h + 3228 Collect the terms in -22*a**2 + 13*a**2 + 13*a**2. 4*a**2 Collect the terms in -2*o**2 + o - 19*o + 17*o + o. -2*o**2 Collect the terms in -199*a - 199*a + 595*a - 195*a. 2*a Collect the terms in 13*z + 17*z + 10*z - 60*z + 18*z. -2*z Collect the terms in -10*x**2 - 15*x**2 + 27*x**2. 2*x**2 Collect the terms in 6*d**2 - 296 + 588 + 14*d**2 - 292. 20*d**2 Collect the terms in 2*c**3 + 70*c**2 - 70*c**2. 2*c**3 Collect the terms in -v + 0*v**2 - 6*v**2 + v. -6*v**2 Collect the terms in 5 - 5 + 2*k + 2*k. 4*k Collect the terms in 3*x - 5*x - 3*x. -5*x Collect the terms in i - 5*i - 2*i + 6*i**3 - i**3. 5*i**3 - 6*i Collect the terms in n**2 + 11 + 22 + n**2. 2*n**2 + 33 Collect the terms in 365*k**2 + 3*k**3 - 365*k**2. 3*k**3 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
f*i**2 - 3*f*k - 53389*f + 8*i**3 + 4794*i*k + 3*k + 4 with respect to f. -22*i**3 + i**2 - 3*k - 53389 Find the third derivative of 160112*t**5 + 45*t**4 + 9*t**2 - 44*t - 37671 wrt t. 9606720*t**2 + 1080*t Find the first derivative of 676*i**2*m - i**2 - 4523*i*m + 64624*i - 2 wrt m. 676*i**2 - 4523*i Find the second derivative of -786077852*m**5 - 412560*m - 723. -15721557040*m**3 Find the second derivative of -291363191*w**2 + 332983744*w. -582726382 Differentiate 14551002*m**3 - 21091876 wrt m. 43653006*m**2 Find the second derivative of 114701019*o**5 - 1615*o + 14376 wrt o. 2294020380*o**3 What is the first derivative of 621*d*k*t - 19*d*t**3 + 4*d*t**2 + 108*d*t + d + 16753*k*t**3 - 2*t**3 + 23*t**2 wrt k? 621*d*t + 16753*t**3 Differentiate -132899134*r**2 + 136030260 wrt r. -265798268*r What is the third derivative of -871503935*b**5 - 26785937*b**2 + 2*b? -52290236100*b**2 What is the second derivative of -642885*f**3 - 8*f**2 + 2918687*f? -3857310*f - 16 Find the third derivative of d**2*s**3 + 54*d**2*s**2 + d*s**3 + 165000*d*s**2 - 2*d*s + 11097723*s**3 wrt s. 6*d**2 + 6*d + 66586338 What is the third derivative of 10*c**3*k**2 - 19609399*c**3*k*s + c**2*k*s - 21*c**2*k - 2*c + 12*k**2 - 819*k*s - 4*k wrt c? 60*k**2 - 117656394*k*s Differentiate 82689*s**4 + 333*s - 101835765 with respect to s. 330756*s**3 + 333 Find the third derivative of -1770257*w**5 - w**4 - 15*w**2 - 21*w + 2127. -106215420*w**2 - 24*w Find the first derivative of 6*d**3 + 446670*d + 66968647 wrt d. 18*d**2 + 446670 Differentiate -672629212*c*t - 24*t - 2537858 wrt c. -672629212*t Find the third derivative of -191897152*l**2*p**3 - 872*l**2*p**2 + 37655*l**2 wrt p. -1151382912*l**2 What is the second derivative of -b**3*h**2 - b**3 + 1436*b**2*h*j - 78*b*h**2 + 12*b - 112*h**2*j - h**2 + 7*j wrt h? -2*b**3 - 156*b - 224*j - 2 Find the second derivative of -472531*g**3 - g**2 - 13452828*g wrt g. -2835186*g - 2 Find the second derivative of -315297*b**3 - 12505347*b wrt b. -1891782*b Find the third derivative of 27*n**4 - 7927964*n**3 - 16*n**2 - 3618*n - 18. 648*n - 47567784 What is the derivative of 69*c**4 - 1041*c**2 - 21*c - 31775130 wrt c? 276*c**3 - 2082*c - 21 Find the third derivative of 1362*d**6 + 209*d**5 - 5*d**3 + 291*d**2 - 49*d - 39 wrt d. 163440*d**3 + 12540*d**2 - 30 What is the first derivative of -1491436*c*p + 287543*p - 10 wrt c? -1491436*p Find the second derivative of -134837764*f**3 - 6166789*f wrt f. -809026584*f Find the second derivative of -5740773*l**2 - 378321*l - 10. -11481546 What is the third derivative of -6284216*j**3*s**3 + j**3 - 339211*j**2*s**3 - 3*s**3 wrt j? -37705296*s**3 + 6 Find the second derivative of -120337668*x**4 + 2*x + 25054812 wrt x. -1444052016*x**2 What is the third derivative of 13981*i**6 - 9149*i**3 + 464662433*i**2 wrt i? 1677720*i**3 - 54894 Differentiate 18248*b**3 - 3182*b**2 - b + 65110681. 54744*b**2 - 6364*b - 1 Find the second derivative of 261*s**3 + 177084*s**2 + 7*s + 6665757. 1566*s + 354168 What is the second derivative of 28460*y**4 + 96*y**3 + 17332*y - 47? 341520*y**2 + 576*y Find the second derivative of -1103096*f**2*n - 2*f**2 + 71421*f - 78*n wrt f. -2206192*n - 4 Find the second derivative of 2*h**5 + 3183018*h**3 + 47*h - 46572. 40*h**3 + 19098108*h What is the second derivative of -253643880*m**4 + 159149*m + 76? -3043726560*m**2 Find the third derivative of -262367530*l**6 - l**2 + 215963*l - 666 wrt l. -31484103600*l**3 What is the first derivative of 87*t*z - 26673914*t + 69656*z wrt z? 87*t + 69656 Find the third derivative of 82249163*i**3 - 19*i**2 + 2040891 wrt i. 493494978 What is the third derivative of -109896*c*t**3 + 3*c*t**2*w + c*t**2 - 12093745*c*t*w + 1324*t**3*w wrt t? -659376*c + 7944*w What is the derivative of 6964211*x**2 + 1468179 wrt x? 13928422*x What is the first derivative of -750*p**2 - 3906*p - 19202992 wrt p? -1500*p - 3906 What is the third derivative of -3*r**6 - 2022595*r**4 + 2*r**2 + 67094*r? -360*r**3 - 48542280*r Differentiate -173264*g*m + 1249979605*g + 201*m wrt m. -173264*g + 201 Find the third derivative of 53278885*g**5 - 5741*g**2 - 1460*g - 1. 3196733100*g**2 What is the second derivative of -45803*m**4 - 16*m**2 - 14140036*m wrt m? -549636*m**2 - 32 What is the second derivative of 33991349*i**3 + 3*i + 8187571 wrt i? 203948094*i Find the first derivative of -32413417*h**2 - 34434564. -64826834*h Differentiate 37134828*c + 17507240. 37134828 Find the third derivative of -1708905*b**3 - 6130674*b**2. -10253430 Differentiate -d**4 - 437540*d**3 + 6*d**2
{ "pile_set_name": "DM Mathematics" }
)*((m/(m/(m*m**(2/11)*m)))/m)/(m/(m*m**(2/15))) assuming m is positive. m**(10567/8085) Simplify ((d**(2/5))**(-20/7))**1 assuming d is positive. d**(-8/7) Simplify (n/n**(-1))**17*n*((n*n**1)/n)/n*n**(4/7) assuming n is positive. n**(249/7) Simplify (u/((u**(1/6)/u*u)/u))/(u/(u/(u/u**(1/4))))*(((u**0/u*u*u)/u)/u)**(1/47) assuming u is positive. u**(599/564) Simplify (u*u/u**(1/2)*u*u)/u**(-17) assuming u is positive. u**(41/2) Simplify ((u/(u*u**(1/3))*u)/(u/((u/(u*(u**(-2/9)/u)/u))/u)*u))/(u/(u**1*u)*u**(1/5)) assuming u is positive. u**(31/45) Simplify (u*u*u*u**(-6/5)*u**0)**1 assuming u is positive. u**(9/5) Simplify (z/z**(-32/5))**7 assuming z is positive. z**(259/5) Simplify (y**(-1)/y)**26*(y**(-2/3)*y)**(-48) assuming y is positive. y**(-68) Simplify (h*h**(2/27)*h)/((h*h**(4/5))/h)*h**(2/9)*(h*h*h/h**(3/5)*h)/h assuming h is positive. h**(526/135) Simplify r**(2/13)/r**(-11/4) assuming r is positive. r**(151/52) Simplify (b*b**(-4/11))/b**(10/3) assuming b is positive. b**(-89/33) Simplify (l/l**(11/4))/l*l**(-4) assuming l is positive. l**(-27/4) Simplify y**(-2/21)*y*y**(3/19)/y assuming y is positive. y**(25/399) Simplify (y*y*y**29)/((y*y**(5/16))/y) assuming y is positive. y**(491/16) Simplify (j**1)**41/(j**(-1))**(-32) assuming j is positive. j**9 Simplify ((w/((w*((w*w*w/w**0)/w)/w)/w))/w)**36/(w*w**2/w)**1 assuming w is positive. w**(-38) Simplify (b*b/((b**34*b)/b*b)*b)/((b**(4/9)/b)/b) assuming b is positive. b**(-274/9) Simplify (x**(-22)*x)**(-4) assuming x is positive. x**84 Simplify p*p**(-9)*p*p*p/p**7 assuming p is positive. p**(-12) Simplify c**(2/37)/(c**(-10)/c) assuming c is positive. c**(409/37) Simplify ((n/(n/(n**(-3)*n)))/(n**(1/4)*n))/(n/(n**(-1)*n))**(-1/2) assuming n is positive. n**(-11/4) Simplify (x/(x*x**(1/2)*x))**45*x**(-2/35)*x*x**(-9) assuming x is positive. x**(-5289/70) Simplify (l**(-2/3))**(-34)*(l**(-2/3)*l)**36 assuming l is positive. l**(104/3) Simplify w*w**(-10)*w**(-5)*(w/((w*(w**(-3/7)*w)/w)/w))/w**(3/5) assuming w is positive. w**(-461/35) Simplify v**22/((v**29*v)/v*v) assuming v is positive. v**(-8) Simplify ((c/((c*c*c*c*c*c**(2/7)*c)/c))/(c/c**8))/(c*c**(-1/3))**(-11) assuming c is positive. c**(211/21) Simplify r**(-1/3)*r*r*r**(1/9) assuming r is positive. r**(16/9) Simplify (q**(11/3)*(q/(q/(q/(q*(q/(q**12/q*q))/q))))/q)**(-3/4) assuming q is positive. q**(-11) Simplify ((u/u**(-13))/u*u)/u*u*u**(3/4) assuming u is positive. u**(59/4) Simplify ((t**(4/3)*t)/(t*t**(5/4)*t*t*t))**5 assuming t is positive. t**(-175/12) Simplify b*b**(2/49)*b*b/(b*b/(b/(b*b*b**(5/4)))) assuming b is positive. b**(-237/196) Simplify f**(1/7)/f**(-2/15)*(f/((f/(f/((f*f**(1/10)*f)/f)))/f))/(f*f/(f/(f*(f**(-3)/f)/f))) assuming f is positive. f**(877/210) Simplify (n**1)**(-41)/((n/(n**(1/2)*n))/(((n/n**(2/5))/n)/n)) assuming n is positive. n**(-419/10) Simplify (j*j**(1/4))**(-42)/((j*j**(-1/4)*j)/(j**(-4)/j)) assuming j is positive. j**(-237/4) Simplify v/(v/v**3)*v/(v**(-3/2)*v*v) assuming v is positive. v**(7/2) Simplify ((y/((y/y**(-3))/y*y)*y)/(y*y**(-8)))**(-1/7) assuming y is positive. y**(-5/7) Simplify r**(-8/3)/r**(-8)*r**(-1/2)/(r/r**(-3/5)) assuming r is positive. r**(97/30) Simplify (((v*((v**(2/7)*v)/v)/v)/v)/v)/((v**(13/2)*v)/v) assuming v is positive. v**(-115/14) Simplify (z*z**(1/8))/z**(-2/19)*(z**(-2/9))**(-49) assuming z is positive. z**(16579/1368) Simplify (y**(-4/5)*y)/(y*y**(-6/13)) assuming y is positive. y**(-22/65) Simplify ((c/((c**(-1)/c)/c))**47)**(-40) assuming c is positive. c**(-7520) Simplify (k**4/k*(k*(k/((k**(3/5)/k)/k)*k)/k)/k*k*k)/(k**2/k)**(-15) assuming k is positive. k**(112/5) Simplify (b*(b*b**0*b*b)/b)**(-9)/(b**(2/7))**44 assuming b is positive. b**(-277/7) Simplify y**(-3)*(y/y**(1/4))/y*y/((y*y/(y/(y/(y*y**(-3/2))))*y)/y)*y*(y*y**(2/5)*y)/y assuming y is positive. y**(-47/20) Simplify h*h**(-12/11)*h*h/(h/h**14) assuming h is positive. h**(164/11) Simplify (w*w**(1/2))**(-3/4)*(w**(-1/10)/w)/(((w*w*w*w/(w**(-2/13)*w)*w*w*w*w)/w)/w) assuming w is positive. w**(-3837/520) Simplify (z**(-13))**(2/33) assuming z is positive. z**(-26/33) Simplify ((j/(j**(1/8)/j*j))/j**9)**(-25) assuming j is positive. j**(1625/8) Simplify v**(-3)/v**(1/12)*(v**(-1/2))**46 assuming v is positive. v**(-313/12) Simplify (b**(2/5)/b)**(-1)*(b**(2/17)*b)/(b/(b/(b*b**(-2)))) assuming b is positive. b**(231/85) Simplify (t**0/t**3)**(-23) assuming t is positive. t**69 Simplify (h**(5/6)/h**3)/(h*(h*h**(-1/3)/h)/h)**(-41) assuming h is positive. h**(-95/6) Simplify r/r**31*r**(-2/31) assuming r is positive. r**(-932/31)
{ "pile_set_name": "DM Mathematics" }
9764. 244 What is the highest common factor of 96 and 12? 12 Calculate the highest common factor of 1089 and 66. 33 Calculate the highest common divisor of 6 and 116. 2 Calculate the highest common divisor of 30 and 12. 6 Calculate the greatest common factor of 1323 and 735. 147 What is the greatest common factor of 1743 and 336? 21 What is the greatest common divisor of 8 and 7976? 8 Calculate the greatest common divisor of 1368 and 972. 36 Calculate the greatest common divisor of 24 and 354. 6 What is the highest common factor of 47 and 235? 47 What is the greatest common factor of 95 and 10? 5 What is the highest common divisor of 364 and 65? 13 What is the greatest common divisor of 512 and 1664? 128 What is the highest common factor of 123 and 287? 41 What is the greatest common divisor of 97 and 11834? 97 What is the highest common divisor of 380 and 988? 76 Calculate the highest common factor of 14 and 322. 14 Calculate the highest common factor of 1539 and 324. 81 Calculate the greatest common factor of 154 and 132. 22 Calculate the greatest common factor of 29 and 2233. 29 Calculate the highest common factor of 130 and 240. 10 What is the greatest common factor of 29353 and 298? 149 What is the greatest common factor of 752 and 2068? 188 Calculate the greatest common factor of 16 and 2608. 16 Calculate the highest common divisor of 86 and 32809. 43 Calculate the greatest common factor of 189 and 35343. 189 Calculate the highest common divisor of 697 and 85. 17 What is the greatest common factor of 656 and 5986? 82 Calculate the highest common factor of 98 and 154. 14 What is the greatest common divisor of 516 and 12? 12 What is the greatest common factor of 38 and 608? 38 Calculate the greatest common factor of 8789 and 187. 187 Calculate the highest common factor of 350 and 42. 14 What is the highest common divisor of 24 and 372? 12 Calculate the highest common divisor of 71 and 497. 71 Calculate the highest common divisor of 172 and 559. 43 What is the highest common divisor of 28 and 6524? 28 What is the highest common factor of 1140 and 420? 60 What is the highest common factor of 90 and 150? 30 Calculate the highest common factor of 2 and 54. 2 What is the highest common factor of 17 and 6885? 17 Calculate the highest common divisor of 736 and 529. 23 Calculate the greatest common divisor of 1989 and 156. 39 What is the highest common divisor of 30 and 12? 6 Calculate the highest common factor of 60 and 1520. 20 What is the greatest common factor of 156 and 12? 12 Calculate the highest common factor of 20 and 3. 1 What is the greatest common factor of 1 and 728? 1 What is the highest common divisor of 18003 and 51? 51 What is the greatest common divisor of 4 and 10880? 4 What is the greatest common factor of 46 and 667? 23 What is the greatest common divisor of 10 and 45? 5 Calculate the highest common factor of 3 and 478. 1 What is the highest common divisor of 3502 and 238? 34 What is the greatest common factor of 2924 and 153? 17 Calculate the highest common divisor of 108 and 660. 12 What is the highest common divisor of 34 and 17? 17 Calculate the greatest common divisor of 288 and 792. 72 Calculate the highest common factor of 245 and 147. 49 What is the greatest common factor of 3311 and 3010? 301 Calculate the highest common factor of 1030 and 190. 10 Calculate the greatest common divisor of 63 and 63. 63 Calculate the greatest common divisor of 9 and 1263. 3 Calculate the greatest common divisor of 100 and 275. 25 Calculate the greatest common factor of 12 and 60. 12 Calculate the highest common factor of 15 and 2865. 15 Calculate the greatest common factor of 1216 and 38. 38 What is the greatest common factor of 26 and 13780? 26 What is the greatest common divisor of 472 and 8? 8 Calculate the greatest common factor of 710 and 40. 10 What is the greatest common factor of 24 and 1128? 24 What is the greatest common divisor of 90 and 585? 45 Calculate the greatest common divisor of 1157 and 65. 13 What is the greatest common factor of 22 and 4895? 11 Calculate the greatest common divisor of 2904 and 176. 88 Calculate the greatest common divisor of 112 and 7. 7 What is the highest common divisor of 23263 and 43? 43 What is the highest common divisor of 19845 and 270? 135 Calculate the highest common factor of 50 and 5375. 25 Calculate the greatest common divisor of 2768 and 128. 16 Calculate the greatest common divisor of 2581 and 445. 89 What is the greatest common factor of 1539 and 81? 81 What is the highest common divisor of 36 and 84? 12 Calculate the highest common factor of 63 and 153. 9 What is the highest common factor of 4401 and 27? 27 What is the greatest common factor of 497 and 4757? 71 What is the greatest common divisor of 960 and 180? 60 What is the greatest common factor of 348 and 16? 4 What is the greatest common divisor of 352 and 224? 32 Calculate the greatest common factor of 57 and 1159. 19 Calculate the greatest common factor of 20 and 40. 20 What is the highest common factor of 228 and 474? 6 Calculate the highest common divisor of 126 and 168. 42 What is the greatest common divisor of 235 and 115? 5 What is the greatest common divisor of 189 and 1197? 63 Calculate the greatest common divisor of 3097 and 19. 19 Calculate the greatest common factor of 18 and 390. 6 What is the greatest common factor of 869 and 11? 11 What is the highest common factor of 76 and 57? 19 What is the highest common factor of 66 and 2354? 22 What is the greatest common factor of 44 and 1969? 11 Calculate the highest common divisor of 351 and 243. 27 Calculate the greatest common factor of 25 and 20. 5 What is the greatest common factor of 72 and 2484? 36 Calculate the highest common divisor of 88 and 24. 8 What is the highest common factor of 4088 and 952? 56 Calculate the greatest common divisor of 66 and 1122. 66 Calculate the greatest common factor of 34 and 11492. 34 What is the highest common factor of 39 and 975? 39 Calculate the greatest common factor of 62 and 5952. 62 Calculate the greatest common divisor of 544 and 640. 32 Calculate the greatest common factor of 128 and 16. 16 Calculate the highest common factor of 91 and 35. 7 What is the highest common divisor of 26 and 767? 13 What is the greatest common divisor of 6453 and 9? 9 What is the highest common factor of 290 and 58? 58 What is the greatest common factor of 32 and 1576? 8 Calculate the greatest common factor of 64 and 2048. 64 Calculate the greatest common factor of 1411 and 3403. 83 Calculate the greatest common divisor of 7439 and 43. 43 What is the greatest common divisor of 759 and 6? 3 Calculate the highest common divisor of 4579 and 19. 19 What is the highest common divisor of 40 and 100? 20 Calculate the highest common factor of 400 and 80. 80 Calculate the highest common factor of 667 and 391. 23 Calculate the greatest common factor of 14 and 10346. 14 What is the greatest common divisor of 8550 and 1539? 171 What is the highest common divisor of 119 and 7259? 119 What is the highest common divisor of 132 and 462? 66 What is the greatest common factor of 448 and 7? 7 Calculate the highest common factor of 31 and 589. 31 Calculate the greatest common divisor of 325 and 175. 25 Calculate the greatest common divisor of 693 and 99. 99 What is the greatest common divisor of 87 and 3712? 29 What is the greatest common factor of 55 and 1243? 11 Calculate the highest common factor of 57 and 551. 19 Calculate the greatest common divisor of 84 and 56. 28 Calculate the highest common divisor of 301 and 1075. 43 What is the greatest common divisor of 54 and 594? 54 What is the highest common factor of 16 and 2? 2 Calculate the greatest common divisor of 423 and 893. 47 Calculate the greatest common divisor of 539 and 1715. 49 What is the greatest common divisor of 113 and 18871? 113 What is the greatest common divisor of 69 and 184? 23 Calculate the greatest common factor of 462 and 1056. 66
{ "pile_set_name": "DM Mathematics" }
1. Let k be p(-9). Suppose 0 = -d + 4*d - 324. Suppose 5*w - k*c = -d + 496, -2*c + 383 = 5*w. Does 26 divide w? False Let t(z) = -5*z - 37. Let m be t(-8). Suppose 0 = -y + 4*r + 3 + 7, -13 = -m*y - 5*r. Suppose 2*i - 256 = q, y*i = 3*i - 5*q + 358. Is i a multiple of 9? True Let y = -61 - -74. Suppose -y*l - 8 = -21*l. Is -8 + 11 - (2 - l*50) a multiple of 7? False Let v be (6/(-9))/(4/36). Let b(q) = -q**3 - 7*q**2 - 5*q + 13. Let p be b(v). Let o(n) = n**3 - 4*n**2 - 13*n + 4. Is o(p) a multiple of 10? True Let c = -24 + 19. Let v be (-96)/(-10) + -2 + (-2)/c. Suppose -b - 364 = -v*b. Is 26 a factor of b? True Let k be -5 + ((-2)/3)/((-16)/(-72)). Does 26 divide (-15)/(9*k/624)? True Let o be (-41)/1599 - 3160/(-39). Let v = -102 - -160. Let x = o - v. Is x a multiple of 3? False Let n be (2/(-6))/(12/(-360))*-1. Does 5 divide (-22)/4 + 4 - 1125/n? False Let b(w) = -6*w**3 + 8*w**2 + 44*w + 262. Is b(-5) a multiple of 42? False Suppose -2*x = 39 - 41. Let m be x*(-2)/13 + 469/91. Suppose m*k = 0, 0*k = -2*q - 4*k + 226. Does 25 divide q? False Let n = 7 + -7. Suppose -5*b + 2*g + 1 - 7 = n, 0 = 3*b + 2*g - 6. Suppose b = 40*x - 38*x - 106. Is x a multiple of 15? False Let d = 1056 + -626. Suppose 2*k - q = d, 14*q = -k + 12*q + 220. Is k a multiple of 46? False Suppose -686*x + 681*x = -3350. Is 102 a factor of x? False Let m(j) = -j**2 + 8*j + 14. Let l be m(9). Suppose l*g - 875 = -255. Is g a multiple of 11? False Let g be 49/(-14)*(-1*14 + 2). Let n be 9/2 - g/28. Suppose 6 = -n*a + 2*a - 3*d, -5*d = 15. Is 3 a factor of a? True Suppose -149184 = 1246*k - 1278*k. Does 21 divide k? True Let l(z) = -2*z - 3. Let m be l(0). Let u be (4/m)/((-10)/45). Suppose -u*o + 105 = -5*o. Does 15 divide o? True Let n be (-1630)/(-25) + 16/20. Is 8 a factor of 93 + -1 + n/11? False Suppose 0 = -16*m - 65 + 17. Does 31 divide m/(-5)*7440/72? True Suppose -135*g + 100*g + 208348 - 11998 = 0. Does 51 divide g? True Let s(c) = 35118*c + 522. Is s(1) a multiple of 120? True Let h(s) = 159*s**2 + 10*s - 12. Let i be h(-5). Suppose -x + 8*x - i = 0. Suppose 4*v = x - 151. Is 17 a factor of v? True Suppose 0*q + 2*q - 2916 = -5*b, -3*b - 4*q + 1744 = 0. Is 4/12 - b/(-3) a multiple of 12? False Let a = 616 - 910. Let g = a - -490. Does 11 divide g? False Let t(u) = 6*u**2 - 4. Let z(f) = -6*f**2 + 2*f + 3. Let x(i) = 3*t(i) + 2*z(i). Is x(-6) a multiple of 31? True Suppose -17*n - 336 = -13*n. Let i = 356 - n. Suppose -z + 6*z = i. Is 16 a factor of z? False Let x(r) = r**3 - 38*r**2 - 12*r + 156. Does 25 divide x(39)? False Suppose 80*j = 60*j + 250440. Does 8 divide j? False Suppose 0 = 3*i - 379 - 701. Let q be (i/(-35))/(-6) + 4/14. Suppose o + q*o = 249. Does 29 divide o? False Suppose -36*q + 217669 = -73211. Does 40 divide q? True Let y = 373 - 373. Suppose u - 2*u = -3*o - 217, y = -2*o - 4. Does 12 divide u? False Let y = 8512 - 4489. Does 129 divide y? False Let n be 145 + (16 + -11)/(10/4). Let m = n + -77. Does 15 divide m? False Let i(s) = 48*s**2 - 17*s + 15. Let v(g) = 50*g**2 - 18*g + 14. Let p(n) = 7*i(n) - 6*v(n). Is p(2) a multiple of 13? True Is 7 a factor of (-1537225)/(-153) - (-10 - -6)*(-2)/36? False Suppose 4*n - 13 - 39 = 0. Suppose 17*w = n*w + 676. Does 13 divide w? True Let m be ((-8)/(-10))/((-3)/(-15)). Suppose 2*v + 4*u + 16 = 0, 7 = -4*v - 4*u + u. Suppose m*k = -5*g + 587, 2*g - 454 = -v*g + 2*k. Is g a multiple of 23? True Let a(y) = -2*y**2 + 35*y - 40. Let k be a(16). Let c(v) = 3*v**2 + 4*v - 14. Is 7 a factor of c(k)? True Suppose 9*h = 1669 + 833. Is h a multiple of 6? False Let o be ((-2)/(-7))/((-9)/(-63)). Does 3 divide (21/(-35) - 0)/(o/(-250))? True Let u be (-1)/2*(-1 + -19 - -2). Suppose -10*t = -5*n - u*t + 111, 2*n = 5*t + 49. Is (-4)/n + 23156/308 a multiple of 15? True Does 31 divide 5715 - (-4 - (-26)/6)*12? False Suppose 0 = 169*l - 168*l - 5832 - 5999. Does 5 divide l? False Let a(m) = -m**3 - 10*m**2 - 15*m + 7. Let w be a(-8). Let h be (-8)/(-12) + 416/(-12) + w. Is 19 a factor of 7/h - 952/(-10)? True Let y(g) = -g**2 + 16*g - 19. Let a be y(15). Let c be 5 + (-8 - a) - 3. Does 27 divide (584/40 - 5)/(c/(-45))? True Let j(i) = 16*i**3 + i**2 + 4*i + 5. Let p(r) = -r**3 - r**2 - 1. Let h(f) = -j(f) - 2*p(f). Let x be h(-3). Suppose -7*q = -3*q - x. Does 11 divide q? True Suppose 4*l = 2*f + 26868, 5*l - 20048 - 13546 = -2*f. Is l a multiple of 54? False Suppose 9*p + 118 = -17. Let f(r) = -24*r + 72. Does 24 divide f(p)? True Let s(b) = 31*b**2 - 754*b + 19. Is s(
{ "pile_set_name": "DM Mathematics" }
2/7, -1/11? -1/11 Let z = -128 + 257/2. Let i = -1.7 + 1.4. What is the second biggest value in 30, z, i? z Let g = 661/7 - 94. What is the second biggest value in g, 1, -1/4? g Suppose 37 = -104*j + 245. Let b = 0.3 + 6.7. What is the third smallest value in b, j, -1? b Suppose 12 = 2*s + 5*y, 2*s - 10 = 3*y - 30. Which is the second biggest value? (a) 0.4 (b) s (c) -23 (d) -5 b Let x = 57 + -65. Let f be (6/x)/((-30)/(-4)). Which is the second smallest value? (a) 2 (b) f (c) 0 c Let l = 4967/115 - 975/23. Let m = 0 - -1. Which is the third biggest value? (a) m (b) l (c) 2/9 (d) -0.01 c Let r = 155/167 + 346776/1169. Let g = 297 - r. Let s(x) = -x**3 + 7*x**2 - 7*x + 8. Let n be s(6). Which is the third smallest value? (a) 2/3 (b) n (c) g b Suppose 74 - 69 = -l. Let f = 33971/114 + -595/2. Let r = -3/19 + f. Which is the biggest value? (a) 0.5 (b) r (c) l a Let q = -17.66 + -0.34. Let l = -17.95 - q. Which is the third smallest value? (a) -4 (b) l (c) -1 b Suppose -4*j + 18 = 2*m, -m + 3 = -2. Suppose o - 3 = -4*t - 12, 2*t + j = 2*o. What is the second biggest value in 0.1, 1/4, 34, o? 1/4 Let h = 5.7 + -4.58. Let f = h + -1.1. Let q = f + 7.98. Which is the smallest value? (a) -1 (b) -2 (c) q b Suppose 5*z - 14 = -f, -2*f - 17 = -5*z - 0*f. Suppose z*w - 21 + 15 = 0. Which is the biggest value? (a) -5 (b) 0.1 (c) w c Let z = 112 + -6. Let o = -106.2 + z. Let x = 0.2 + 3.8. Which is the second biggest value? (a) x (b) -3/7 (c) o c Let x = 0.1 - 0.6. Let p = x + -13.5. Let h = p - -11. Which is the biggest value? (a) h (b) 0.5 (c) 3/2 c Let i = 0.26 - -1.14. Let k = 2.48 + 0.12. Let r = k + i. Which is the second smallest value? (a) r (b) 0.4 (c) -3 b Let t be ((-146)/(-365))/(4/(-10) - 1). What is the fourth biggest value in -4, -1/2, t, 2? -4 Let t = -32.7 + 34.7. What is the biggest value in -3, t, 1, -0.02? t Let m(k) = k**3 + 6*k**2 - 9*k - 12. Let h be m(-7). What is the second smallest value in -4/11, 0, -0.2, h? -0.2 Let l(w) = -w**3 - 15*w - 6 + 1 + 2*w**3 + 13*w**2 + 0. Let s be l(-14). Suppose -2*x - 1 = s. What is the second smallest value in 2/7, -3, x? -3 Let j be 2/(3 + (-7)/3). Suppose j*z + 5*x - 3*x = 11, 0 = -2*z + 3*x + 3. Let f = 0.1 - 0.11. Which is the biggest value? (a) f (b) -0.5 (c) z c Let x = 5 - 6. Let i be (2 + x)*(-4)/12. Let u = -32 - -32.1. Which is the second smallest value? (a) u (b) 2 (c) i a Let d be (-6)/9*(470/(-65) - -7). What is the third smallest value in -0.3, d, 0.09? d Let g be (4/(-3))/(-1) - 2. Let q = 356 - 345. Which is the third smallest value? (a) g (b) -0.2 (c) q c Let y = 0.05 - 1.05. Which is the fourth biggest value? (a) -2/5 (b) 0.3 (c) -4 (d) y c Let a = -312 + 302. What is the fourth smallest value in a, 0.5, 4, 0.3? 4 Let p = 53689/15 - 3574. Let f = -23/5 + p. Let v = 28 - 33. What is the smallest value in -2/7, v, f? v Let p be (-2*1*(-22 - -9))/(-1). Let y = -26 - p. What is the biggest value in -0.4, -0.19, y? y Let h = -0.16 - -15.16. Let q = 147 + -131. Let m = q - h. Which is the third smallest value? (a) -1 (b) -2 (c) m c Let g be -2 + 48/(10 - 4). Which is the third smallest value? (a) 1 (b) g (c) 69 c Let v be 96/210 - (-2)/5. Let w = 9 - 4. Let s = 4.5 - w. Which is the biggest value? (a) 3 (b) v (c) s a Let v = 297 + -126. Let j = -120 + v. Let d = 99/2 - j. Which is the biggest value? (a) d (b) -0.3 (c) 0 c Let q = -5 + 3. Let x = -11 - -16. Let h = -21/4 + x. What is the smallest value in h, q, 4/3? q Let m = 587.98 + -588. What is the biggest value in 0, -5, m? 0 Let d = -89 - -76. What is the fourth biggest value in 1, 0.2, d, -0.3? d Let j = 11/8 - 9/8. What is the smallest value in 2.9, 4, j, 0.4? j Let q = -1.58 - -84.58. Let n = q - 72. What is the smallest value in n, -2/9, 0.4? -2/9 Let d = -322 + 325. Let x(w) = w**3 - 8*w**2 + 6*w + 10. Let g be x(7). Suppose o + g = -2. Which is the third biggest value? (a) o (b) 5 (c) d a Let y = 22.8 - 15.79. Let i = y + -0.01. Which is the second biggest value? (a) i (b) -1/3 (c) -1/7 (d) -3 c Let g be 3/(-15) - (-156)/30. Suppose 5*z - 3*x = 36, -3*z - g*x - 22 = -5*z. Let o be z/(-9) - (-84)/18. Which is the smallest value? (a) -3 (b) 0.02 (c) o a Let w = 422 - 422.5. What is the second biggest value in -3, 226, w? w Let s = -235 - -233. What is the second smallest value in -43, 2, s? s Let k = 86.7 - 91.7.
{ "pile_set_name": "DM Mathematics" }
Suppose -2*i + 15 = 3*d, -d + 15 + 4 = 3*i. Calculate i*x(v) - 5*f(v). -2*v**3 Let i(u) = -u**3 + u**2 + 1. Let k(a) = -3*a**3 + 8*a**2 - 11*a + 6. Let v(s) = 3*i(s) + k(s). Let q(g) = -g**3 + 2*g**2 - 2*g + 2. Give -11*q(j) + 2*v(j). -j**3 - 4 Let n(w) = -76*w**3 + 38*w. Let q(g) = -g**3 + g. Give n(j) - 38*q(j). -38*j**3 Let t(o) = 9*o. Let g(d) = -8*d - 1. Let a(j) = -5*g(j) - 4*t(j). Let k(c) = -6*c - 8. Give -8*a(n) - 5*k(n). -2*n Let g = 6 - 2. Suppose 0 = x - d - 4, 0*x + g*x = -3*d - 5. Let n(i) = -i**3 - i**2 - i. Let k(o) = 5*o**3 + 2*o**2 + 6*o. Give x*k(v) + 4*n(v). v**3 - 2*v**2 + 2*v Let v be 22/2*-1 - (-5 + 8). Let q(y) = 6*y + 14. Let t(n) = 2*n + 5. Calculate v*t(b) + 5*q(b). 2*b Let o be 3 + ((-9)/(-3) - 1 - 0). Let i(b) = -7*b**2 + 3*b + 4. Let j(p) = -6*p**2 + 2*p + 3. Calculate o*j(y) - 4*i(y). -2*y**2 - 2*y - 1 Let y(j) = -j**3 - 4*j**2 + 3. Let x(s) = 1. What is 5*x(n) - y(n)? n**3 + 4*n**2 + 2 Let j(g) = 7*g. Suppose 15 = -p + 5*c, 0 = -4*p + 3*c - 2*c - 22. Let l(t) = -2*t + t + 7*t + 5*t. Give p*l(m) + 8*j(m). m Let z(m) = 4*m. Suppose -5*o = 5*t + 60, 2*o + 38 = -7*t + 3*t. Let g = t - -2. Let y(i) = -3*i. What is g*y(p) - 4*z(p)? -p Let n be 21/(-28) - 42/8. Let a = 8 + n. Let k(l) = 6 - 3 - 9 + a*l - 7. Let d(m) = -m + 7. Give -11*d(w) - 6*k(w). -w + 1 Let a(h) = -h - 4. Let d(l) = 2*l - 5 - 4*l + 7. Let g be d(3). Let o(f) = 2*f + 9. What is g*o(y) - 9*a(y)? y Suppose 155 = -3*b - 2*b. Let k = 17 + b. Let h(g) = -5*g. Let f(j) = 2*j. Give k*f(x) - 6*h(x). 2*x Let w(f) = 2*f**2 + 2*f - 2. Let s(y) = 0 - y**2 - y + 2*y**2 + 1 - 2*y**2. Determine -3*s(r) - w(r). r**2 + r - 1 Let w(r) = -10*r**3 - 6*r**2 - 36*r. Let z(d) = 2*d**3 + d**2 + 7*d. What is -3*w(q) - 16*z(q)? -2*q**3 + 2*q**2 - 4*q Let b(f) = f**2 - 8*f - 8. Let v(r) = r + 1. Give -2*b(g) - 14*v(g). -2*g**2 + 2*g + 2 Suppose 48 = 12*q - 6*q. Let x(g) = -2*g - 3. Let s(d) = 5*d + 9. Give q*x(z) + 3*s(z). -z + 3 Let k = -11 - 0. Let u(n) = -29*n + 12 + 4 - 15. Let i(o) = 15*o - 1. Let h(p) = k*i(p) - 6*u(p). Let r(f) = -4*f - 2. Give -2*h(m) - 5*r(m). 2*m Let n(f) = 3*f. Let p be (2 + -1)*(1 - 11). Let s(d) = -d. Let m be -2 + 3/(3/(-2)). Give m*n(r) + p*s(r). -2*r Let v(l) = -l. Let z(t) = -2*t**2 - 10*t + 6. Calculate -8*v(d) + z(d). -2*d**2 - 2*d + 6 Let o(l) = l - 1. Let j = 15 + -12. Let v = -6 + j. Let b(t) = -t + 4. Give v*o(m) - b(m). -2*m - 1 Let s(n) = 3*n - 3. Let l(m) = 2*m - 2. Calculate 5*l(c) - 4*s(c). -2*c + 2 Let u = 6 + -3. Suppose -4*q = -q + u. Let y = q - 2. Let g(i) = -5*i**2 - 3*i. Let f(c) = -4*c**2 - 2*c. Give y*g(d) + 4*f(d). -d**2 + d Let f = -41 + 37. Let u(d) = 15*d**3 - 7*d**2 + 7*d + 7. Let z(q) = 8*q**3 - 4*q**2 + 4*q + 4. What is f*u(l) + 7*z(l)? -4*l**3 Let p(h) = -3*h - 1. Let o(q) = 2*q + 1. Let b(z) = -7*o(z) - 5*p(z). Let y(a) = -2. Calculate 4*b(c) - 3*y(c). 4*c - 2 Let f(t) = -t**2 - 1. Let c(q) = 59*q**3 - 177*q**2 - 177. Give c(k) - 177*f(k). 59*k**3 Let x(y) = -4*y**2 + 4. Suppose -p + 2*j = 2*p - 10, 4*p - j - 10 = 0. Let k(r) = -9*r**2 - r + 9. Let b be 0 - (6 + -3 + (0 - -2)). Give b*x(l) + p*k(l). 2*l**2 - 2*l - 2 Let m(f) = 3*f**3 + 7*f**2 - 2*f + 5. Let i(z) = -2*z**3 - 4*z**2 + z - 3. Calculate -5*i(a) - 3*m(a). a**3 - a**2 + a Let h(t) be the first derivative of -t**3/3 - 5*t**2/2 + 7*t - 2. Let j(g) = -8 + 12 - 5 + g. Calculate -h(p) - 6*j(p). p**2 - p - 1 Let c be ((-10)/6)/(1/(-9)). Let f = -7 + c. Let w(l) be the first derivative of -2*l**2 + 2*l -
{ "pile_set_name": "DM Mathematics" }
rest to z? (a) 2 (b) m (c) 1 c Let o = 265 - 252.1. Let a = 15 - o. Let r = 0.1 - a. What is the nearest to 1 in 0.3, 1/2, r? 1/2 Let j be ((-12)/90)/((-8)/(-10)). Which is the nearest to 0? (a) -3 (b) j (c) 1 b Let r = 3.1 - 3. Let k(v) = -v**2 - 3*v + 4. Let l be k(-3). Which is the closest to r? (a) 3/8 (b) l (c) 0.4 a Let o = -175 + 175.02. Which is the closest to o? (a) -0.03 (b) -0.2 (c) 1/8 a Let i = -0.14 + 0.04. Let o = i + -3.9. Let u = -797/1407 + -1/201. Which is the closest to -0.1? (a) -3 (b) o (c) u c Let j = 0.46 + -0.06. Let s = -2 + 1. Let n = s - 0. Which is the nearest to 0.1? (a) j (b) -1/2 (c) n a Let t = 13/22 + -1/11. Which is the nearest to 0? (a) 1/3 (b) -4 (c) t a Let g(x) = x**3 - 7*x**2 - 7*x - 10. Let l be g(8). Suppose 3*a - 3*a = -4*a. What is the closest to a in -4, l, 0.4? 0.4 Let q = 0.15 - 0.55. Which is the nearest to 23? (a) q (b) -1 (c) 0 c Let m be 2/1 - (-156)/(-91). What is the nearest to m in -0.3, -2/9, 1? -2/9 Let i = 0.4 + -0.3. Let s = 5.2 + -9. Let g = s + 4. Which is the closest to i? (a) g (b) -5 (c) 1 a Let b = -4.2 - 0.8. What is the closest to -4 in -0.5, -4, b? -4 Let s = -3642/13 - -280. Let r = 2 - 7. Let v = 0.06 + -1.06. What is the nearest to v in -2, r, s? s Let n be (1 - 2)/(2/(-6)). Let b = 17.451 + 0.049. Let u = 18 - b. What is the nearest to -2/3 in n, 1, u? u Let y = -1 - 0. Let c be (14/10)/(6/375). Let x = c - 86. What is the nearest to y in 2, 3, x? x Let t = 0.76 + -0.74. Which is the closest to -0.2? (a) -0.3 (b) -1 (c) t a Let o = -12 + 13. What is the nearest to o in -4/7, -3/4, 1/5? 1/5 Let v = 0.093 + -0.163. Which is the closest to 0? (a) 1 (b) -4 (c) v c Let i = -2.5 + -0.5. Let y = -10.5 + 10.9. Which is the closest to 2/5? (a) i (b) y (c) 2 b Let g be ((-7)/(-56))/(3/8). What is the nearest to 2 in g, -3/7, -1? g Let y = -0.013 - 3.987. What is the closest to 0 in 1, 0.2, y? 0.2 Let c = 37 + -36.93. What is the nearest to 1/5 in -3, c, 0? c Let z = 0.77 - -5.33. Let b = z - 6. Let u be 28/6 - 2/3. What is the nearest to -3 in b, u, -5? -5 Let g = -5 - -4.6. Suppose 5*u - 7 - 13 = 0. Which is the closest to 0? (a) g (b) -0.5 (c) u a Let m = 0.06 + -0.36. What is the closest to -1/4 in 3, m, -4? m Suppose -8 = -4*l - 32. What is the nearest to 1 in l, -0.2, -3? -0.2 Let t = -12 + 11.8. Which is the nearest to 1? (a) 0 (b) -2 (c) t a Let p be 2 - 3/((-4)/(-4)). Let s = -0.2 - -0.4. Which is the nearest to -2/3? (a) 2/3 (b) p (c) s b Suppose -5*a - 2 = -3*a. Let d = 4.5 + -4.1. What is the nearest to a in d, -2/19, 1? -2/19 Let k = -9 + 12. What is the nearest to -2 in 20/3, 4, k? k Let g be (-4)/5*25/(-1930). Let z = g + -396/965. Let b = 233/3 - 77. What is the nearest to 2/5 in -2/3, b, z? b Let j = -934/9 - -104. What is the closest to j in 2, 0.4, -0.1? 0.4 Let m = -8 + 8.1. Let n = 4.7 + -4. Let p = n - 1. What is the nearest to -1 in m, 5, p? p Let q = 2 + -1. Which is the nearest to q? (a) 0.3 (b) 0 (c) -4 a Let t be (3 + -1)*90/36. What is the nearest to -1 in 7, t, 4? 4 Let m = 0.003 - 0.103. What is the closest to m in -1/9, -5, 2? -1/9 Suppose 15 = t - 4*s, -3*t + 7*t - 2*s = 32. What is the nearest to -0.1 in 4, t, -0.1? -0.1 Let t = -2.7 + -1.3. What is the nearest to 0 in t, -5, -2/21? -2/21 Let b = -2 + 1.6. Let i = -738/5 - -148. What is the nearest to i in b, 2, 3? b Let k = -11 + 13. Let y be (20/95)/(0 - -2). What is the nearest to -0.1 in k, -0.1, y? -0.1 Let j = -5 + 7. Suppose 7*v = j*v + 20. Suppose 3*k + 16 = v. Which is the closest to -1? (a) -1 (b) -1/6 (c) k a Let x be (-1)/((-4 + 1)/(-3)). Which is the nearest to x? (a) -8 (b) 0.4 (c) -5 b Let z = -8 + 16. Let w = 7.7 - z. What is the closest to 1 in 2/9, w, -2? 2/9 Let a = 841/10 - 84. Suppose -24*r - 13*r = -13*r. What is the closest to r in 2/3, -1/4, a? a Suppose 5*d + 2 = 7. Let k be (d*-3)/(9/2). Which is the closest to -2/3? (a) 2/9 (b) k (c) 1/3 b Let u = -38 - -340/9. What is the nearest to 2 in u, -1, -3/5? u Let s = -13.85 + 14. Let o = 0.05 - s. Which is the closest to -2? (a) o (b) -2/7 (c) -0.2 b
{ "pile_set_name": "DM Mathematics" }
asing order. 5, y, -2 Let p = -0.1 - -0.2. Let y = 0 + p. Let q = 5 + -2. Put q, 1/3, y in ascending order. y, 1/3, q Let i = -7.03 - -0.03. Let x = i + 7.1. Sort x, 3/8, -2 in increasing order. -2, x, 3/8 Let o = 18/25 - 16/25. Put 1, 4, o, -0.5 in decreasing order. 4, 1, o, -0.5 Let x(j) = -j**2 - 4*j + 8. Let z be x(-6). Suppose -r = 1 + 1. Put -3, r, z in descending order. r, -3, z Suppose 2*z - 6*z + 8 = 0. Sort 1, z, 3. 1, z, 3 Let w = -2.949 - 0.051. Sort -0.2, -1.6, w in descending order. -0.2, -1.6, w Let h = -1 - 13. Let q = -14.4 - h. Suppose 2*j + 3*j - 20 = 0. Put j, 0.5, q in ascending order. q, 0.5, j Let b(m) = -m - 4. Let u be b(-6). Let r = u + -2. Sort -3, r, 1 in descending order. 1, r, -3 Suppose -27 + 7 = -4*h. Let l = 5 - h. Let m = -2 + 1. Sort -4, l, m in ascending order. -4, m, l Let o = -82 - -71. Put o, 4, -3, -4 in ascending order. o, -4, -3, 4 Suppose 7*u + 20 = 3*u. Let o(j) = -j**2 - 4*j + 1. Let l be o(-3). Sort u, 1, l in decreasing order. l, 1, u Let p be 1 - 0 - (-3 - -4). Suppose p*r - 4 = r. Sort r, 1, -3. r, -3, 1 Suppose 0 = -4*c - w - 4*w, -6 = 2*c + 4*w. Let a be (2/4 + 0)*0. Sort c, -3, a in descending order. c, a, -3 Let y = 4.8 + -1.6. Let d = -2.8 + 3. Let p = d - y. Sort -0.5, -1/3, p in descending order. -1/3, -0.5, p Suppose 7*v - 3*v = 4. Let y be ((-1)/(-2))/(v/8). Let s be (-18)/63 - y/35. Sort -4, -1, s in ascending order. -4, -1, s Let o be 1 - (2 - 4) - 4. Let n = 0 - o. Let s = -6 + n. Put -1, s, 5 in ascending order. s, -1, 5 Let z = 2 - 3. Let a be (12/(-8))/(z/(-2)). Let b = -12 + 10. Put b, a, 1 in increasing order. a, b, 1 Let j = -52 - -48. Let t = -2 - -3. Put -6, j, t in increasing order. -6, j, t Let t = -0.05 + -0.03. Let v = t - 2.92. Let y = -2 - v. Put 0, 4/3, y in increasing order. 0, y, 4/3 Let a = 8 - 8.3. Let d = 4962/17 - 292. Sort d, a, 4 in decreasing order. 4, d, a Let b = -109 + 117.1. Let a = b - 8. Sort a, 0.5, 4/7 in ascending order. a, 0.5, 4/7 Let y = -22 + 27. Let l = -9 + 5. Sort -5, l, y in descending order. y, l, -5 Let h = 26 + -25. Sort 5, 3, h. h, 3, 5 Let u be -1*(1 - 0) - (-34)/26. Put -0.3, -0.5, u, -1 in decreasing order. u, -0.3, -0.5, -1 Let l = 0.705 + -0.075. Let y = l + -0.13. Sort -0.1, y, 0.1 in descending order. y, 0.1, -0.1 Let x = 84 - 926/11. Let b(o) = 2*o**3 + 16*o**2 + 14*o + 3. Let i be b(-7). Sort x, 6, i in increasing order. x, i, 6 Let t(u) = u**2 - 4*u - 8. Let b be t(6). Suppose -k = -4*g + 8, 0*k - 2*k + 2*g = b. Put -1, k, 5 in increasing order. -1, k, 5 Let y be 3*2*(-2)/12. Let z be -8 - (y - -4)*-1. Put 1, z, 2 in increasing order. z, 1, 2 Let f be -5 - 8*(-1)/2. Sort f, 0, -17, 3 in ascending order. -17, f, 0, 3 Let j be 6/(-9) - (-16)/(-12). Let f = 7 + j. Sort 2, f, 1 in descending order. f, 2, 1 Let f = -27 + 26. Put -2, -3, f in decreasing order. f, -2, -3 Let u(f) be the third derivative of 3*f**2 + 0*f - 1/60*f**5 - 1/3*f**4 + 0 - 7/6*f**3. Let d be u(-7). Put 4, d, 2 in decreasing order. 4, 2, d Suppose -16 = -10*p + 8*p. Suppose -3*b + 1 = -p. Sort 5, b, 4 in decreasing order. 5, 4, b Let s = 2.6 - -1.4. Put s, -5, 3/2, -7 in increasing order. -7, -5, 3/2, s Suppose x = 0, 60 + 40 = 5*y + 4*x. Put y, -5, 2/9 in ascending order. -5, 2/9, y Let j(y) = y**2 + 13*y + 5. Let r be j(-13). Sort -12, r, 1, 3 in descending order. r, 3, 1, -12 Let h(a) = a**2 - 15*a + 15. Suppose -y = 3*w - 40, 2*w - y = -3*y + 24. Let v be h(w). Sort 4, -3, v in ascending order. -3, v, 4 Suppose 3 = -5*d + 18. Sort d, 5, -1. -1, d, 5 Let q(u) = u**3 - 2. Let s be q(0). Let x = 51 - 55. Sort x, s, -3 in decreasing order. s, -3, x Let p(g) = 3*g - 13. Let d be p(6). Put -4, d, 3, -42 in decreasing order. d, 3, -4, -42 Let h be 0 + 0 + (1 - (-1 - -2)). Let w = -6 + 17. Sort -3, w, h in descending order. w, h, -3 Suppose 23 = 4*f - s, 3*f + 5*s - 13 - 10 = 0. Let q(j) be the first derivative of -j**2/2 + 8*j + 11. Let h be q(f). Put 5, -4, h in decreasing order. 5, h, -4 Let c = -0.24 - -1.24. Let m = -0.7 + 0.2. Sort -4/5, m, c in descending order. c, m, -4/5 Let r = -40 + 39. Sort -1/4, r, 2 in ascending order. r, -1/4, 2 Suppose -3*n = -177 + 21. Suppose n = 5*k - d, d - 18 = -k + 5*d. Suppose 4*l - k = -l. Put 3, l, 0 in increasing order. 0, l
{ "pile_set_name": "DM Mathematics" }
338 - 2/13? 5 Calculate (-154 + 155)/((-2)/8). -4 What is the value of 0 - (-1)/(-9)*-2? 2/9 Evaluate 5/(-45)*-34 + -4. -2/9 What is 2 - (62/10 + -4)? -1/5 Calculate (2/1)/(7/(-14)). -4 Evaluate ((-4)/(-5))/((-56)/(-35) - 2). -2 Evaluate -5*-2*(-5)/(-225). 2/9 Calculate 75/10*(5/(-3) - -1). -5 (-10 - -4)*(-2)/(-4) -3 2/10 - (-1)/(-15)*3 0 Calculate (-2)/18 - 728/252. -3 Evaluate ((-133)/539 - 2/11)*1. -3/7 4/(-76) + 42/(-285) -1/5 Evaluate 7 - 8 - 7/(-9). -2/9 Evaluate (6/7)/(-4 + (-145)/(-35)). 6 What is (-650)/(-500) - (-1)/(-2)? 4/5 Evaluate 114/(-108)*3 + (-10)/(-60). -3 Evaluate (-3)/6*4*-2. 4 (-6)/3 + (-1)/(2/(-12)) 4 Evaluate ((-24)/44 + 0)/((-60)/20). 2/11 Calculate 24/(-378) + (-10)/45 + 0. -2/7 Evaluate -18*(-1)/(-2 - -5). 6 (-297)/(-63) + 2/7 5 What is the value of 0 + ((-69)/161)/((-2)/14)? 3 ((-14)/385)/((-1)/(-5)) -2/11 What is (-5)/((-1)/((-1)/1)*-1)? 5 Evaluate ((-20)/30)/(-1 + -2). 2/9 Calculate ((-21)/84)/1 - (-42)/8. 5 Evaluate (-18)/(-144)*(0 + -1*2). -1/4 Evaluate (-1)/((6/(-4))/3). 2 Calculate -1 + (-12)/(-8) - 18/20. -2/5 (-3)/5 - (-28)/5 5 What is (-460)/65 + (-13)/(-2197)*13? -7 Calculate ((-14)/(-4) + -4)*2. -1 Calculate 15 + -13 - (1 - -4). -3 What is the value of 3/(-9) + (1 - (-40)/(-105))? 2/7 What is 315/(-36) + 5 + 3? -3/4 Evaluate 416/(-1240) - 10/155. -2/5 What is 16/(-78)*42/56? -2/13 What is the value of (-16)/(-12)*(-15)/5? -4 3 + (-36)/(-9) + -2 5 Calculate (-6)/(-8)*(-1020)/459. -5/3 What is the value of (0 + (-12)/(-8))*2? 3 Calculate -1*2 + 19/(228/27). 1/4 Calculate 16/(-46)*(12/16)/(-3). 2/23 What is 245*(-10)/(-300) - (-5)/6? 9 425/(-1309) + (-4)/(-22) -1/7 What is the value of ((-4)/(-10))/(-3*8/(-30))? 1/2 Calculate (-38)/(-40) - 240/200. -1/4 Calculate 3/(-6)*((-48)/(-39))/(-4). 2/13 ((6/4)/1)/(252/(-1344)) -8 (-3)/(-4) - (-304)/(-320) -1/5 What is the value of (-49)/63 + 8/72? -2/3 Calculate 2/5 - 1598/1645. -4/7 Calculate 120/(-55) + (-10)/(-55). -2 Calculate 1/(-1 - (5/(-2) + 1)). 2 Calculate (0 - 0)/((-34 + 8)/(-13)). 0 What is -6 + 1/(3 - 2/1)? -5 What is the value of 10*(-12)/(-45)*(-3)/(-14)? 4/7 What is the value of (3/(-12)*2)/(7 - 3)? -1/8 Calculate 0 + (-56)/(-10) - (30 - 24). -2/5 (24/10)/((-748)/(-55) + -14) -6 What is the value of (56/16 + -4)*-16? 8 (-1*2)/((-72)/54) 3/2 What is (-4)/(-3) + ((-56)/24 - -2)? 1 ((3/(-2))/3)/((-24)/(-32)) -2/3 (2 - 1) + 3/(-1)*-1 4 What is the value of 4 - (-2 - 54*5/(-40))? -3/4 Evaluate (3/(27/(-6)))/((-4)/6). 1 What is (-203)/174 + 2/3? -1/2 Evaluate 32/(-10) - 172/215. -4 Calculate (45/(-48))/(36/48). -5/4 What is the value of (-1)/((-26)/182*(-14)/22)? -11 What is the value of (-6)/(-27) + -129*1/(-27)? 5 What is the value of (-2 - -7)/(130/104)? 4 What is the value of (1647/244)/((-9)/(-12))? 9 Calculate (-7)/(5 - -2) + 9/11. -2/11 Calculate (-55)/(-360) + (1 - 21/27). 3/8 What is (-78)/(-351) + (-2)/9 + -1? -1 What is (12/9)/(15 - 1233/81)? -6 What is -8 - (4 + (-136)/12)? -2/3 (-38)/(-8) + (3/12 - 0) 5 ((-385)/28 - -13)/(2/12) -9/2 What is the value of ((5 + -6)*3)/((-81)/(-6))? -2/9 Calculate ((-2)/(-8))/(63/72). 2/7 What is 1/3 + (-40)/(-60)? 1 What is the value of 4/18 - 1888/3717? -2/7 Evaluate ((-2)/(-5) + -1)/((-17)/(-85)). -3 0 - (-48)/(-20 + 12) -6 Calculate (-8)/(-9) - (-18)/(-81). 2/3 Calculate (-7 + 4)/(-18 - 3). 1/7 What is (-10)/4*(-108)/135? 2 Calculate -1 + -5 - (-8 - -4). -2 What is (-13)/5 + (-42)/105? -3 What is the value of (4/(-66)*-6)/(-9 - -7)? -2/11 Calculate 105/27 + (-14)/(-126). 4 7/14*-4*3 -6 Evaluate (-12)/(-10)*(-4 + 13/3). 2/5 Calculate (-11)/9 + 1/(-1)*-1. -2/9 What is the value of (-4)/1*18/(-12)*-1? -6 Evaluate (7*(-4)/(-56))/(1/(-10)). -5 What is (-1135)/125 + 4/50? -9 What is (-7)/9 - 10/(-90)? -2/3 (-126)/(9/3)*(-59)/354 7 What is (3 - 76/66) + 38/(-209)? 5/3 (-3)/((-9)/(-10))*60/40 -5 Evaluate (8 - 9) + 48/6 + 1. 8 Evaluate (-8)/((-18)/(-9)) + (-1)/(-1). -3 448/(-128) + 2*1 -3/2 What is 2/((-175)/70*4/15)? -3 What is the value of ((-6)/(-4))/(12/(-2))*4? -1 Calculate (-12)/((-14)/6*6). 6/7 Evaluate (-450)/462 + -4 + 155/35. -6/11 15*((-14)/(-6) - 2) 5 Evaluate 111/(-74) + 22/4. 4 Evaluate (((-18)/(-20))/9*-2)/1. -1/5 What is -3 - (14/2 - 0)/(-4)? -5/4 Calculate (-5)/6 - (-4)/(-24). -1 Calculate 11 + (-1 - (-1 - -6)) + -3. 2 Evaluate 1/(10/18)*370/111. 6 What is 2/(8/(-6)) - (-36)/(-24)? -3 What is -4
{ "pile_set_name": "DM Mathematics" }
- 52269, -359*o = -362*o + 3*c + 52275. What is the tens digit of o? 1 Let v(o) = -69*o**3 - 5*o**2 + 14*o + 47. What is the units digit of v(-3)? 3 Let j(n) be the third derivative of -1/120*n**6 + 30*n**2 + 0 + 0*n - 13/60*n**5 + 13/3*n**3 + 7/12*n**4. What is the tens digit of j(-14)? 2 Let u be -544*(-3 + (-1 - -5)). Let r = 666 - u. What is the tens digit of r? 1 Suppose -5*v - 4*j = -164623, -1307 = v + 2*j - 34228. What is the tens digit of 1/2 - v/(-38)? 6 Suppose 1447222 = 76*o + 5*o - 147911. What is the hundreds digit of o? 6 Let l be 4/((5 + 3 + -4)/6). Suppose -q + l*q = 2*x + 27, q = 5*x + 10. Suppose -5*a = 3*s - 317, q = 5*a - 15. What is the tens digit of s? 9 Suppose 0 = -2*q + q + 2. Suppose 0 = -3*x + 9*i - 7*i + 179, -q*i - 8 = 0. What is the tens digit of x? 5 Suppose -2*u + 8*s = -110488, 4*u = -185*s + 189*s + 220988. What is the ten thousands digit of u? 5 Let w(v) = -v**2 - 22*v - 45. Let t be w(-19). Let n be 8/t*(1 - (-1892)/(-8)). Let x = -20 - n. What is the tens digit of x? 3 Let a(s) = 7*s**3 - 3*s**2 + 33*s - 23. Let k(p) = -23*p**3 + 8*p**2 - 100*p + 68. Let d(q) = 7*a(q) + 2*k(q). What is the tens digit of d(6)? 2 What is the tens digit of (-192)/528 - 34042/(-22)? 4 Let q(x) be the third derivative of -x**7/1008 + 7*x**6/48 + x**5/4 + 10*x**2. Let v(s) be the third derivative of q(s). What is the units digit of v(0)? 5 Let r be (-25 + 26)/((-1)/(-67)). Suppose 10*p - r = 303. Let w = p + 131. What is the units digit of w? 8 Let g = -5982 + 25815. What is the thousands digit of g? 9 Let i be (-3 + 14/4)*-6 + 74. Suppose 64*k + 2625 = i*k. What is the tens digit of k? 7 Suppose 2*t - 3*g - 112080 = -t, -g = -3*t + 112080. What is the units digit of t? 0 Suppose -68*q + 2113346 = 61*q - 46*q. What is the thousands digit of q? 5 Suppose -2*b - 237 = -5*b. Let i(w) = -635*w - 1165. Let h be i(-2). Let s = h - b. What is the units digit of s? 6 Let r = -63 + 66. Suppose -r*x + 5 + 7 = 0. Suppose 4*u - x = 0, 575 = 5*c - u - 459. What is the hundreds digit of c? 2 Let g = -12 + 31. Suppose g*i - 24*i = 0. Suppose i = k + 4*r - 103, -84 = -2*k - 3*r + 112. What is the tens digit of k? 9 Suppose 10*g = 15*g - 160. Let x(o) = o**2 - 25*o + 97. What is the tens digit of x(g)? 2 Suppose 4*w = -5*q + 46775 + 123780, 4*w = 20. What is the thousands digit of q? 4 Let d(s) = -23*s - 5*s - 14 + 18*s - 2*s**3. What is the hundreds digit of d(-5)? 2 Let c(n) = -2*n + 41. Let m be c(19). Suppose -j + m = -0*x - x, -2*x - 3*j = -9. Suppose 4*i - 8*i + 248 = x. What is the tens digit of i? 6 Let x(w) = -2*w**3 + w**2 - 6*w - 6. Let t be x(-1). What is the hundreds digit of 3/(-2)*(3 + (-653)/t)? 3 Suppose 0 = -z - i + 8, -6*z + 2*z = 2*i - 26. Let h be (8/10)/(2/z). What is the units digit of (h + -2 - (-8 + 7)) + 37? 8 Suppose 59*l + 15016 = 61*l + 2*s, 5*l + 3*s - 37526 = 0. What is the tens digit of l? 0 Suppose 5*k - 84 - 21 = 0. Suppose 0 = -k*x + 17*x + 1796. What is the tens digit of x? 4 Suppose 0 = -a - 37 + 38. Let i be a*(2 + 0)/(-2)*-293. Suppose -i = 6*c - 1841. What is the tens digit of c? 5 Let m = 25 + -10. Suppose 0 = -11*x + m*x - 4. What is the tens digit of (39 + (-3 - -5))/x? 4 Let v(g) = 13*g + 80. Let m be v(-6). Suppose -m*b = -5*o + 1418, 0*b - 282 = -o + 2*b. What is the hundreds digit of o? 2 Suppose -9*j + 113568 = 26133. What is the thousands digit of j? 9 Let h = 9504 + -3561. What is the tens digit of h? 4 Let u be (5 - 1460)*6/18. Let c = -386 - u. What is the tens digit of c? 9 Suppose v - 14 + 12 = 0. Let d be v*(4 + (-10)/4). What is the units digit of 37 - 4/d*3? 3 What is the tens digit of 1878876/72*(70/15)/7? 9 Let u(p) = -23*p + 209. Let j be u(9). What is the thousands digit of (-2)/(7 + -3)*(-3770 - j)? 1 Let y(w) = 14*w + 35. Let o(v) = 0 + 1 - 5*v + 5*v**2 + 3 + v**3 - 2*v. Let k be o(-6). What is the units digit of y(k)? 5 Let s(o) be the second derivative of -7*o**3/3 + 15*o**2 - 27*o. Let u(x) = 14*x - 30. Let g(n) = -5*s(n) - 4*u(n). What is the hundreds digit of g(10)? 1 Let f(y) = 34*y - 62. Let t be (-15*(-6)/60)/((-3)/(-44)). What is the hundreds digit of f(t)? 6 Let w = -7476 + 8217. What is the units digit of w? 1 Let j = 88 - 86. Suppose 4*z = 6 + j. What is the units digit of -4*z/4 + 81 - -3? 2 Let c(d) be the first derivative of d**4/4 + 2*d**3 - 11*d**2 - 9*d + 15. Let n be c(-7). Let t = 266 - n. What is the units digit of t? 0 Suppose 3*y + 268 = -j, -2*j - 5*y - 792 = j. Let r = j + 503. What is the units digit of r? 4 Suppose 16 = 4*z - 2*a, -z = -4*a + 3 - 0. Suppose -2*f + 2532 = 4*i + f, -z*i + f = -3184. What is the units digit of i? 6 Let b(u) = 4*u**2 - 11*u -
{ "pile_set_name": "DM Mathematics" }
*2 + 0*c**5 wrt c. -240*c**2 Let d(f) be the second derivative of 2*f**5/5 + 3*f**2/2 - 16*f. Find the first derivative of d(v) wrt v. 24*v**2 Let n be (-4)/(3/(-2) - -1). Differentiate -w**3 + n*w**3 - w**3 + 1 wrt w. 18*w**2 Let y(m) be the first derivative of m**7/140 + 3*m**5/40 + 2*m**3 - 4. Let a(l) be the third derivative of y(l). Find the second derivative of a(x) wrt x. 36*x Let n(k) be the second derivative of -k**5/10 + 2*k**3 + 14*k. What is the second derivative of n(p) wrt p? -12*p Let r(g) be the third derivative of g**6/120 + 11*g**3/3 - 10*g**2. What is the first derivative of r(v) wrt v? 3*v**2 Find the second derivative of 14*f**4 - 4*f**4 - 3*f**2 + 20*f - 14*f**4 wrt f. -48*f**2 - 6 Let a(g) be the third derivative of g**7/42 + g**5/20 + 4*g**2. Find the third derivative of a(u) wrt u. 120*u Find the second derivative of -3*y**5 + 6*y**5 + 6*y - 4*y**5 + 2*y**5 wrt y. 20*y**3 Let k(x) be the first derivative of -3*x**5/10 + x**3/2 - 3*x - 3. Let i(w) be the first derivative of k(w). What is the second derivative of i(g) wrt g? -36*g Let h(f) be the first derivative of -3*f**3 - 9*f**2/2 - 8. Find the second derivative of h(u) wrt u. -18 Find the third derivative of 2*z**3 + 2*z**4 - 5*z**2 + 5*z**3 - 7*z**3 wrt z. 48*z Let t = 80/3 + -26. Let q(p) be the first derivative of 1 + t*p**3 + 0*p - 2*p**2. Find the second derivative of q(j) wrt j. 4 Let w(z) be the second derivative of -1/2*z**2 + 0*z**3 - 5*z - 1/6*z**6 + 0*z**4 + 0 + 0*z**5. Differentiate w(f) with respect to f. -20*f**3 Let c be 12/(-8)*(-16)/3. Find the second derivative of -r + 0*r - c*r**2 - 2*r wrt r. -16 Find the first derivative of 0*s**3 - 20*s**3 + 2*s**3 + 12 wrt s. -54*s**2 Let t(d) be the third derivative of d**7/840 - d**4/8 - 2*d**3/3 - 3*d**2. Let u(c) be the first derivative of t(c). What is the first derivative of u(z) wrt z? 3*z**2 Let j(x) be the first derivative of -x**3 + 3*x - 2*x - 4*x - 2 + 2*x. What is the first derivative of j(p) wrt p? -6*p Let j(i) be the second derivative of -9*i**5/20 + 2*i**3 + 2*i. What is the second derivative of j(k) wrt k? -54*k What is the second derivative of -107*k - 17*k**5 + 62*k + 66*k wrt k? -340*k**3 Let i(m) = 2*m**4 - 3*m**3 - 3*m - 4. Let r(g) = -3*g**4 + 4*g**3 + 4*g + 3. Let t(b) = -4*i(b) - 3*r(b). Differentiate t(f) wrt f. 4*f**3 Let h(f) be the second derivative of f**5/2 + f**4/12 - 8*f**3 + 59*f. What is the second derivative of h(c) wrt c? 60*c + 2 Let d(o) be the second derivative of 11*o**4/12 + 6*o**2 + 2*o. Find the first derivative of d(z) wrt z. 22*z Let o(m) = -m**2 + 3*m + 2. Let c be o(3). Find the third derivative of 2*k**4 + 2*k**3 + 2*k**2 + 0*k**2 - c*k**3 wrt k. 48*k Let q(w) = 21*w**4 + 13*w**2 - 34*w. Let i(y) = -10*y**4 - 6*y**2 + 17*y. Let f(a) = -13*i(a) - 6*q(a). Find the second derivative of f(h) wrt h. 48*h**2 Suppose 2*l - 15 = -3*l. What is the third derivative of -l*s**2 + 6*s**6 + 0*s**6 - 3*s**6 wrt s? 360*s**3 Let t(s) = -5*s**3 - 5*s - 4. Let y(d) = -2*d**3 - 3*d - 2. Let v(i) = 3*t(i) - 5*y(i). Differentiate v(x) wrt x. -15*x**2 Let z(f) be the first derivative of -7*f**4/4 + 17*f**2/2 - 11. What is the second derivative of z(s) wrt s? -42*s Let r(t) = -4*t**2 + 3 - 2 + 0 - 3*t + t. Let w(y) = 8*y**2 + 5*y - 1. Let o(u) = 5*r(u) + 2*w(u). What is the derivative of o(k) wrt k? -8*k Differentiate -5 - 6 - 3 - 9*b**4 wrt b. -36*b**3 Let i(m) be the second derivative of 0*m**5 + 2*m + 0*m**4 + 0*m**2 - 2/15*m**6 + 0 - 1/3*m**3. What is the second derivative of i(f) wrt f? -48*f**2 Let c(s) = 8*s**3 - 6*s**2 - 4*s - 4. Let n(a) = 16*a**3 - 11*a**2 - 9*a - 9. Let v(z) = -9*c(z) + 4*n(z). What is the third derivative of v(l) wrt l? -48 Find the second derivative of -t**4 + 0*t + 12*t + 6*t wrt t. -12*t**2 Let y(w) = -37*w + 2. Let j(m) = 110*m - 6. Let n(g) = -5*j(g) - 16*y(g). What is the first derivative of n(x) wrt x? 42 Let y be (2 - 10)*-1 + -3. Find the first derivative of -y*x**3 + 5*x**3 + 2*x**3 - 5*x**3 - 4 wrt x. -9*x**2 Let p(c) be the first derivative of -3 + 0*c**2 + 0*c + 0*c**5 - 1/6*c**6 + 5/3*c**3 + 0*c**4. Find the third derivative of p(k) wrt k. -60*k**2 Find the second derivative of s - 33*s**4 + 4 + 3273*s**2 + 1 - 3273*s**2 wrt s. -396*s**2 Let f(k) be the second derivative of k**5/10 - k**2/2 + 5*k. Differentiate f(z) wrt z. 6*z**2 Let p(m) be the third derivative of m**7/840 + m**4/24 - m**3/3 - 2*m**
{ "pile_set_name": "DM Mathematics" }
7*h(f) - 6*z(f). Let m be u(-12). Is 54/4 + (-1)/m composite? True Suppose i = -4*d - i - 30, -5*d = -i + 55. Let j = -6 - d. Suppose -g + j*q + 453 = 2*g, g - 5*q - 140 = 0. Is g prime? False Let f be ((-3)/2)/((-12)/16). Suppose -f = j - 2*j - 2*o, -8 = 3*j - o. Is (-26)/4*(j - 0) a prime number? True Let d(x) = -x**3 + 6*x**2 + 2*x - 3. Is d(-4) a prime number? True Let p = -225 + 401. Suppose 0*q = -2*y - q + 180, -p = -2*y + q. Is y prime? True Let j(t) = -t + 7. Let c be j(5). Suppose c*d = -d - 1104. Let r = 263 - d. Is r a prime number? True Suppose -t + 8 + 7 = 2*d, 0 = 4*d - 12. Suppose -4*f = -7*f + t. Is f a prime number? True Let r(t) = t**3 + 16*t**2 + 28*t - 19. Is r(-12) composite? True Suppose -2*h - 17 = -4*j + 1, 0 = -3*j - h + 1. Suppose 0 = j*n + n - 105. Is n composite? True Suppose -4*w - 40 = 2*n, 0*w + 2*w - 12 = n. Let f = n + 47. Is f composite? False Let k be (-4)/6 + (-8)/(-12). Suppose k*c + c = 47. Is c a prime number? True Let q(r) = r + 3. Let a be q(-5). Let z be (6 - 6)/(2/a). Suppose -4*g + 290 - 62 = z. Is g composite? True Let q(v) = 98*v**2 - 2*v + 1. Let w = -3 - -4. Is q(w) prime? True Let m be 1612/(-6)*(-2 - 1). Suppose -3*s = -s - m. Let g = s - 168. Is g a composite number? True Let g = 518 - 217. Suppose -g = 5*x - 936. Is x composite? False Let v(g) = g**2 - g - 1. Let k be v(2). Let q be k/((1 - -1)/4). Suppose 0 = -q*s - 3 + 105. Is s composite? True Suppose -959 = -k + 2*g, 0 = -2*k - k - g + 2863. Is k a prime number? False Let b = 812 - 334. Is b composite? True Let c be (-2)/(-2)*(1 + 0). Let p be 1*(-1)/c*-1. Let q(l) = 22*l + 1. Is q(p) a prime number? True Is 10149/68 + 2 + 9/(-4) composite? False Let d(q) = -q**2 - 7*q + 4. Let o be d(-6). Suppose -z + 2*z - o = 0. Is z a prime number? False Suppose 2*t + 148 = 6*t. Is t composite? False Let c be 2 + -3 - (1 - -2). Let i = c - 16. Let h = 69 - i. Is h composite? False Is (-3748)/(-4) + (3 - 1) a prime number? False Let n(m) = 7*m - 42. Let j(u) = -1. Let d(r) = -42*j(r) + n(r). Let f be d(-4). Is (10/8)/((-1)/f) prime? False Suppose -3*v - 158 = 76. Let c be 2/4*(-1 + -1). Is v/c*3/6 a prime number? False Let p(f) = 5*f**2 - 2*f**2 + 2 - 6 + 2*f**3 - 2*f. Let m be p(3). Let y = 124 - m. Is y a prime number? True Let x(l) = -l**2 + 3*l - 2. Let g be x(2). Suppose -4*o + g*o = -676. Is o a composite number? True Let y(g) = 5*g**3 - g**2 + g - 1. Suppose -2*x + f = -3*f - 6, -3*x - 3*f + 9 = 0. Let c = x - 1. Is y(c) prime? True Let a = -1 + 5. Is (5 - a)/((-3)/(-159)) composite? False Suppose 2*i + 29 = -15. Let u = 41 + i. Is u a prime number? True Let w(d) = -2*d**3 + 5*d**2 + 6*d + 1. Suppose -2*o = -o + 4. Let v be w(o). Suppose 2*p + 3*p - v = 0. Is p a prime number? True Suppose -m + 117 = -4*h, 3*m - 269 = -5*h + 14. Suppose 0 = 7*s - 2*s. Suppose 0 = -u + a + 58, 2*u + s*u + a = m. Is u composite? False Let q(u) = -42*u**2 - 4*u - 1. Let r be q(-3). Let y = -166 - r. Is y a prime number? False Let q(j) be the second derivative of 2/3*j**3 + 0 + 9/2*j**2 - j. Is q(7) composite? False Suppose -12 = -3*s + 3*z + 9, -11 = 2*s + 3*z. Suppose -s*g + g = -19. Is g prime? True Suppose -4*h - 46 = -f - 4*f, -2*h + 10 = 3*f. Let o(r) = -r + 3. Let d be o(f). Is (-1 + 1 - -142) + d a prime number? True Let k(c) = 3*c**2 - 11*c - 19. Is k(-13) a composite number? False Let c be (-42)/(-9)*-3*-1. Let h = 36 - c. Is h composite? True Suppose 2*y - 4*y - 3*r + 1025 = 0, -r = 4*y - 2025. Is y prime? False Suppose -3*b = -3*z - 2*b + 19, b = 2. Let u be (-1 + z)/(6/4). Let k(n) = 2*n**2 - 4*n - 2. Is k(u) composite? True Let k(b) = -b**3 + 11*b**2 - 2*b + 14. Suppose 5*y - x = 9 + 12, -9 = -3*y - 3*x. Suppose l - 6 = y. Is k(l) prime? False Suppose 5*g - 728 = -4*b, 2*g - g - 712 = -4*b. Is b composite? True Let i = 3 + -1. Suppose 417 = 4*v + f, -v = i*f - 79 - 27. Suppose 5*n + 3*k = v, -3*n = -5*k + 2 - 44. Is n a composite number? False Let a = 3159 - -40. Is a a composite number? True Let s(q) = -5*q**3 - 7*q**2 - 4*q + 5. Let m be s(-8). Is m/28*2*2 prime? True Let c(v) = -5*v**3 + 2*v + 1. Let j be c(-1). Suppose -y - y = -j. Suppose -d - 2*d - 38 = -u, -71 = -y*u + d. Is u a prime number? False Let w = -1 + 1. Suppose w = 7*v - 2*v - 20. Suppose 2*n - 6 = -4*b + 10, -v*n + 5*b = -45. Is n composite? True Let r = -300 - -454. Let c = r - 105. Let m = -34 + c. Is m composite? True Suppose 2 = -2*
{ "pile_set_name": "DM Mathematics" }
maller: 0.1 or v? v Suppose 30*o - 3161 = t + 35*o, -2*t - 6217 = -5*o. Is t less than or equal to -3127? False Suppose 17 = -9*g - 28. Suppose 25*w = 28*w - 81. Which is smaller: w or g? g Let z(c) = 0*c**3 - 42 + 10*c**2 + c**3 - 45*c**2 - 72*c - 26. Let u be z(37). Which is smaller: -20 or u? -20 Suppose 0 = 5*n + 168 + 187. Let a = 72 + n. Let i be (-23 - -22)*(0 - a). Are -8/21 and i non-equal? True Let a be (-8 - 49/(-6))/(5285/225 + -6). Is a > 0? True Let v = 654 + -694. Let s = 251 + -290.7. Let f = v - s. Which is bigger: f or 4? 4 Let g = 0.02 + 0.98. Let j = 166.28 - 1.68. Let h = 167 - j. Which is greater: h or g? h Let w(y) = -25*y + 4. Let i be w(-7). Let m = i + -121. Let n(c) = 5*c**2 + 38*c + 42. Let h be n(-8). Is m greater than or equal to h? True Suppose 34 = -13*c + 15*c. Suppose 0 = c*l - 22*l + 20. Is 38/9 > l? True Let b(t) = 280*t - 2241. Let l be b(8). Is -3/2926 smaller than l? False Suppose 4*o + 1695 = 12275. Let w = -97858/37 + o. Is w bigger than 1? False Let u = -6.6 + 10.33. Let w = -0.863 + -0.067. Let k = u + w. Is k at least as big as 1? True Let r be 163/(-2 - (-407)/33). Which is smaller: 16 or r? r Let g = -7.657 - -6.657. Which is smaller: -17182 or g? -17182 Let w be 1*-1*(0 - 4). Let m be (8/6 + -2)*(-3)/1. Suppose m*h + h = g, -w*h - 4*g = 16. Which is bigger: -20/9 or h? h Let w = -872771/36 + 24239. Is w at most as big as -5? False Let x(a) = -29*a**2 + 731*a - 65. Let w be x(26). Which is smaller: -662 or w? w Let u = 92 - 101. Let f be 9*(-8 - -9) + u. Which is bigger: 9/8 or f? 9/8 Let g = -3132 - -3133. Let d = 79087/123 + -643. Let x = d - 101/1353. Which is greater: x or g? g Let u = 11596.71 - 11597. Which is smaller: u or 1/131? u Suppose -168 = -32*k + 4*k. Suppose -k*l = 2*l - 600. Is -2/11 not equal to l? True Let z = 63 + -60. Let u(g) = 8*g**3 + 4*g**2 + 3*g - 4. Let l be u(z). Suppose -l = 4*y + 39. Is y at least as big as -73? False Suppose -6*f - 4*p = -4*f - 356, -4*f + 2*p + 742 = 0. Let g = f - 409. Which is bigger: -224 or g? -224 Let c be (3 + (-111)/9)/((-98)/21 - -8). Let w be 12/(-4)*1/10. Is w less than c? False Let v(c) = 3*c**2 - 22*c + 15. Let h be v(7). Let p be (-37)/3*(-1 + h). Which is smaller: -85 or p? p Suppose 116*t + 6843 + 3133 = 0. Let w = -4 + -82. Are w and t equal? True Let q = -105487/21 + 35160/7. Suppose 4*n - 245 + 765 = 0. Let g = -4288/33 - n. Which is smaller: q or g? q Let b be (-1 + 3)/(-6) - (-113607)/(-27). Is -4207 >= b? True Suppose 0 = 8*f - 6 + 14. Let p be (-5)/(-30)*f*(-54)/8. Are 0 and p non-equal? True Suppose -30*c - 608592 = 53*c + 10*c. Which is bigger: -6545 or c? c Let f be (-1*6 + 0)*(816145/(-38))/55. Are 2339 and f non-equal? True Let o = -10061 - -8942. Is -5 at least o? True Let a = 53 + -50. Suppose 5*j - 3*j - 25 = 5*d, -5*j + a*d + 15 = 0. Suppose 4*p = -5*w + 24, -p + j*w = 3*w - 6. Is 9 at most p? False Let c be 64/96 - 860/1284. Let w be (2 + 1 + -4)*1. Which is smaller: w or c? w Suppose 0 = -2*u + 5*x + 14, 0*u + 50 = 5*u - 5*x. Suppose 4*r - 24 = -5*f, 2*r + 3*f + 0 - u = 0. Let d = -49 + 56. Is r != d? True Suppose 0 = 11*i + 8874 - 8148. Which is greater: i or -67? i Let c(v) = -9*v + 1. Let b be c(-18). Let k = -6030/37 + b. Which is bigger: 0 or k? k Let u = 811/14 + -251431/4340. Which is smaller: u or -1? -1 Let u = 3800.4 + -3802. Is u equal to 40/11? False Let a(t) = -39*t + 21. Let s(q) = 3*q - 1. Let n(g) = a(g) - 4*s(g). Let d be n(-3). Which is smaller: 177 or d? 177 Suppose 5*m - 102*m - 53 = 44. Which is bigger: m or -35/94? -35/94 Let x be (402 + -462)/(-2 + 2/3). Which is smaller: -97 or x? -97 Suppose -4084 = 4*b - 2436. Let t be (-4)/31*-3208 + -2. Let o = t + b. Do 1 and o have the same value? False Let l = 78.028 + -0.028. Let y = -78.47 + l. Is 1 less than or equal to y? False Suppose 2*u + 3*l - 13 = 0, 3*u - 12 = -4*l + 2*l. Let x be 4/3 - u - (-2)/3. Let v be 1 - (59/30 - 1). Which is smaller: x or v? x Let c(s) = 2*s**3 + 12*s**2 + 5*s + 5. Let o(x) = -2*x**3 - 12*x**2 - 4*x - 6. Let m(b) = 5*c(b) + 4*o(b). Let u be m(-4). Is u greater than -5/2? True Let s be 486600/160 - 20/16. Which is greater: s or 3038? s Suppose 1048 = 14*m - 9*m - p, -2*m + 406 = 4*p. Suppose -m*s = -216*s. Is s at least -5/32? True Let w = 563.37 + -563. Let a = 36 - 41.37. Let q = w + a. Which is bigger: q or 4? 4 Suppose -27*j - 5904 = -13086. Suppose 0 = s - 5*y - 368 + 91, -5*s + 1343 = -4*y. Is j equal to s? False Let y = 62.94
{ "pile_set_name": "DM Mathematics" }
**2 + t. Let j be f(1). Sort l, 3, j. l, j, 3 Let u = 53 - 43. Sort u, -3, 3, 5 in increasing order. -3, 3, 5, u Suppose 0 = -4*s - 3*j + 11, 0 = -2*s + 3*j - 1 + 2. Suppose -o + 4*m = -s*o + 25, o - 3*m = -10. Sort o, -4, 7, -3 in ascending order. -4, -3, o, 7 Let m = 585 - 581. Sort 3, m, -5, -69. -69, -5, 3, m Let u = 0.276 - -52.724. Put -0.4, -4, u, 0.5 in ascending order. -4, -0.4, 0.5, u Let q = -6 + 5.93. Let y = -0.87968 - 0.12032. Put -3/4, y, -2, q in ascending order. -2, y, -3/4, q Let f = 5 + 0. Let s = -19 - -17. Let a be (2 + -1)/(7/s). Sort -1, f, a. -1, a, f Let m = 8 + -3. Suppose 8*r + 9 = 5*r. Sort -2, m, -9, r in descending order. m, -2, r, -9 Let r = -189 + 188.79. Sort 4/5, -1/3, r in decreasing order. 4/5, r, -1/3 Suppose -73 = -6*i + 11. Suppose 18 - i = 4*c. Let f be 0 + (-5 - 0) + 0. Put c, f, -3 in increasing order. f, -3, c Let r be 7 + (-9 - -9) + -9. Suppose 0 = 2*u - 0*u + 8. Sort 7, r, u in ascending order. u, r, 7 Let b = -1/157 - 303/1727. Let l = 13.5 - 13. Put -0.04, l, b in increasing order. b, -0.04, l Suppose 18 = 4*y - 54. Suppose 4*z = -14 - y. Let b = z - -10. Put b, -1, 1 in ascending order. -1, 1, b Let p = -383 - -383.3. Put p, -0.25, 3/2, 0.2 in decreasing order. 3/2, p, 0.2, -0.25 Let s = -1957 + 1978. Sort s, 3, -4, -6 in increasing order. -6, -4, 3, s Suppose 9*x - 33 = 6*x. Suppose 0 = -15*h - 34 - x. Let b = 0 + -2. Put h, -4, b in decreasing order. b, h, -4 Suppose 2*r - 3*h = -8, -3*r + 22 = -h + 5*h. Suppose 6 = 4*c + r. Suppose 0 = 4*w + i + 1, 3 = 3*w + 2*i - 5*i. Sort -3, w, c in ascending order. -3, w, c Let b = -13 + 17. Let m = b + 0. Let y be 16/(-6) + (-1 - -4). Put 2, m, y in decreasing order. m, 2, y Suppose 41 = 5*x - 39. Let c be 1 + x/12 + -3*1. Sort 4/5, 4, c, 1/4 in decreasing order. 4, 4/5, 1/4, c Let t(u) = -7*u**2 + 2*u**3 + 13*u + 10 - 13*u**2 - 9*u**2. Let d be t(14). Sort -2/11, -0.4, d, 2/5. d, -0.4, -2/11, 2/5 Let a = -613/20 - -125/4. Sort 5, -0.1, a in ascending order. -0.1, a, 5 Let p = -0.1608 + 0.3608. Let r = -0.4 - 0. Sort r, 0.4, p, 2/11 in descending order. 0.4, p, 2/11, r Let c be -1 - ((-18)/16 + 0). Let p = 3/1412 + -2839/7060. Put c, -6, p in increasing order. -6, p, c Let n = 484 - 434. Sort n, 0.4, -3, 0 in decreasing order. n, 0.4, 0, -3 Let n = 3069 - 3069.4. Sort -0.1, n, 0.11, 6 in increasing order. n, -0.1, 0.11, 6 Let b be (-7)/28 + (-2 - 36/(-16)). Let w be ((-16)/(-7))/1 + -2. Put -1, w, 1, b in descending order. 1, w, b, -1 Let t = 10717.5 - 10717. Let v = 0.2 + -0.1. Let i = v - 0.7. Sort i, t, 5/4 in decreasing order. 5/4, t, i Let h be 9/(1 - 1 - -1). Let z = h - 14. Let c = z - -6. Sort c, 2, 3 in increasing order. c, 2, 3 Let v = 12 + -12. Let y(g) = -g + 3. Let u be y(v). Sort u, -13, 2 in increasing order. -13, 2, u Suppose -2*o - 9 = 5*r, -22 + 16 = 3*r + o. Put -528, -1, r in ascending order. -528, r, -1 Let w = -341.2 + 382. Let b = w + -41. Sort 1/5, -1/6, b, 3/2. b, -1/6, 1/5, 3/2 Let v(j) = -10*j + 165. Let f be v(16). Put f, -2, 2 in decreasing order. f, 2, -2 Let i(z) = -8*z - 7. Let q be i(-2). Suppose 4*t - q = h, -3*t + 7*t - 15 = -h. Suppose -2*v = 5*n - 16, -n + 4 - 11 = -3*v. Put n, 4, h in descending order. 4, h, n Let h = -127.5 - -128. Sort -21, h, 0, -2. -21, -2, 0, h Suppose -7*q = -4*q + 12. Let i be q*(-1 + 0) + 0 + -3. Sort -4, 0, i, 3 in ascending order. -4, 0, i, 3 Suppose 0 = 3*z + 2 + 7. Let h(x) = 3*x**3 - 48*x**2 - 8*x + 131. Let y be h(16). Put -2, z, 4, y in decreasing order. 4, y, -2, z Suppose b + 11 = -k, 5*b - 19*k + 34 = -21*k. Let u(v) = -v**2 + 4*v + 1. Let x be u(4). Sort b, -7, x in decreasing order. x, b, -7 Let x(h) = 76*h - 149. Let y be x(2). Sort 12, 4, y, 0 in decreasing order. 12, 4, y, 0 Let s be (-110)/(-7) - 16/(-56). Suppose 12 = s*w - 13*w. Put -6, w, -2 in ascending order. -6, -2, w Let x = -0.19 - -0.35. Let g = x + 20.84. Let w = g - 21. Sort 2, w, 0.01. w, 0.01, 2 Suppose -v - c + 1 = 0, -2*v + 4*c = -7*v + 1. Let w = 1.3 - 0.8. Put 0.3, w, v in increasing order. v, 0.3, w Let x = -3.301 + 0.011. Let n = x + -0.71. Sort -0.1, 4, -0.36, n. n, -0.36, -0.1, 4 Let o = 17 + -16.
{ "pile_set_name": "DM Mathematics" }
ainder when 84 is divided by 43? 41 Calculate the remainder when 2343 is divided by 102. 99 Calculate the remainder when 98 is divided by 23. 6 What is the remainder when 335 is divided by 19? 12 What is the remainder when 764 is divided by 13? 10 What is the remainder when 535 is divided by 511? 24 Calculate the remainder when 90 is divided by 64. 26 What is the remainder when 60 is divided by 25? 10 What is the remainder when 1193 is divided by 199? 198 What is the remainder when 1177 is divided by 113? 47 What is the remainder when 104 is divided by 29? 17 Calculate the remainder when 184 is divided by 32. 24 Calculate the remainder when 32 is divided by 22. 10 Calculate the remainder when 2146 is divided by 525. 46 Calculate the remainder when 379 is divided by 35. 29 Calculate the remainder when 621 is divided by 115. 46 What is the remainder when 2838 is divided by 14? 10 Calculate the remainder when 100 is divided by 25. 0 Calculate the remainder when 317 is divided by 101. 14 Calculate the remainder when 31142 is divided by 136. 134 Calculate the remainder when 579 is divided by 53. 49 What is the remainder when 2231 is divided by 22? 9 What is the remainder when 64 is divided by 33? 31 Calculate the remainder when 61 is divided by 47. 14 What is the remainder when 1938 is divided by 37? 14 What is the remainder when 4280 is divided by 3? 2 Calculate the remainder when 89 is divided by 29. 2 What is the remainder when 183 is divided by 57? 12 What is the remainder when 313 is divided by 75? 13 What is the remainder when 1682 is divided by 24? 2 Calculate the remainder when 573 is divided by 36. 33 Calculate the remainder when 1760 is divided by 254. 236 Calculate the remainder when 343 is divided by 39. 31 Calculate the remainder when 417 is divided by 35. 32 Calculate the remainder when 213 is divided by 7. 3 What is the remainder when 1108 is divided by 11? 8 Calculate the remainder when 9098 is divided by 37. 33 Calculate the remainder when 185 is divided by 90. 5 Calculate the remainder when 93 is divided by 20. 13 What is the remainder when 111 is divided by 26? 7 Calculate the remainder when 10 is divided by 10. 0 Calculate the remainder when 7611 is divided by 29. 13 What is the remainder when 253 is divided by 46? 23 Calculate the remainder when 945 is divided by 269. 138 What is the remainder when 2915 is divided by 243? 242 Calculate the remainder when 44 is divided by 17. 10 What is the remainder when 44397 is divided by 37? 34 Calculate the remainder when 4025 is divided by 212. 209 Calculate the remainder when 72 is divided by 21. 9 What is the remainder when 581 is divided by 204? 173 Calculate the remainder when 66 is divided by 11. 0 Calculate the remainder when 924 is divided by 116. 112 Calculate the remainder when 3533 is divided by 19. 18 Calculate the remainder when 1452 is divided by 2. 0 What is the remainder when 1188 is divided by 92? 84 What is the remainder when 308 is divided by 37? 12 What is the remainder when 1050 is divided by 3? 0 What is the remainder when 1733 is divided by 143? 17 What is the remainder when 456 is divided by 147? 15 Calculate the remainder when 3586 is divided by 52. 50 Calculate the remainder when 111 is divided by 7. 6 What is the remainder when 3457 is divided by 19? 18 Calculate the remainder when 562 is divided by 146. 124 What is the remainder when 19088 is divided by 83? 81 Calculate the remainder when 1123 is divided by 371. 10 What is the remainder when 139 is divided by 80? 59 What is the remainder when 2336 is divided by 18? 14 What is the remainder when 1037 is divided by 52? 49 What is the remainder when 295 is divided by 31? 16 Calculate the remainder when 3826 is divided by 6. 4 What is the remainder when 3125 is divided by 46? 43 What is the remainder when 664 is divided by 22? 4 Calculate the remainder when 13394 is divided by 17. 15 What is the remainder when 2798 is divided by 100? 98 Calculate the remainder when 237 is divided by 40. 37 Calculate the remainder when 52 is divided by 15. 7 Calculate the remainder when 86 is divided by 22. 20 Calculate the remainder when 342 is divided by 32. 22 What is the remainder when 717 is divided by 123? 102 Calculate the remainder when 6230 is divided by 20. 10 Calculate the remainder when 262 is divided by 35. 17 What is the remainder when 222 is divided by 169? 53 What is the remainder when 18 is divided by 10? 8 What is the remainder when 681 is divided by 39? 18 What is the remainder when 26053 is divided by 367? 363 Calculate the remainder when 561 is divided by 145. 126 What is the remainder when 145 is divided by 40? 25 Calculate the remainder when 13 is divided by 2. 1 Calculate the remainder when 588 is divided by 253. 82 Calculate the remainder when 598 is divided by 29. 18 Calculate the remainder when 3647 is divided by 192. 191 What is the remainder when 4723 is divided by 15? 13 What is the remainder when 163 is divided by 11? 9 What is the remainder when 8 is divided by 6? 2 What is the remainder when 153 is divided by 68? 17 What is the remainder when 107 is divided by 12? 11 What is the remainder when 178 is divided by 85? 8 Calculate the remainder when 122 is divided by 31. 29 Calculate the remainder when 108 is divided by 84. 24 Calculate the remainder when 1098 is divided by 50. 48 Calculate the remainder when 2687 is divided by 158. 1 Calculate the remainder when 112 is divided by 44. 24 What is the remainder when 323 is divided by 138? 47 Calculate the remainder when 93 is divided by 15. 3 Calculate the remainder when 164 is divided by 80. 4 What is the remainder when 372 is divided by 17? 15 What is the remainder when 149 is divided by 51? 47 Calculate the remainder when 14298 is divided by 20. 18 Calculate the remainder when 376 is divided by 14. 12 Calculate the remainder when 30 is divided by 20. 10 Calculate the remainder when 836 is divided by 56. 52 Calculate the remainder when 81 is divided by 23. 12 Calculate the remainder when 3557 is divided by 6. 5 Calculate the remainder when 118 is divided by 28. 6 What is the remainder when 1543 is divided by 82? 67 What is the remainder when 1406 is divided by 57? 38 Calculate the remainder when 2042 is divided by 186. 182 What is the remainder when 411 is divided by 24? 3 Calculate the remainder when 205 is divided by 80. 45 What is the remainder when 2270 is divided by 16? 14 What is the remainder when 443 is divided by 248? 195 What is the remainder when 265 is divided by 131? 3 Calculate the remainder when 249 is divided by 112. 25 What is the remainder when 14746 is divided by 6? 4 Calculate the remainder when 508 is divided by 248. 12 What is the remainder when 3623 is divided by 29? 27 What is the remainder when 1262 is divided by 71? 55 What is the remainder when 378 is divided by 24? 18 What is the remainder when 1570 is divided by 123? 94 Calculate the remainder when 2030 is divided by 28. 14 Calculate the remainder when 176 is divided by 93. 83 What is the remainder when 295 is divided by 209? 86 Calculate the remainder when 3318 is divided by 71. 52 Calculate the remainder when 447 is divided by 14. 13 Calculate the remainder when 334 is divided by 175. 159 Calculate the remainder when 183 is divided by 33. 18 What is the remainder when 3320 is divided by 41? 40 What is the remainder when 155 is divided by 39? 38 Calculate the remainder when 380 is divided by 65. 55 Calculate the remainder when 755 is divided by 21. 20 Calculate the remainder when 490 is divided by 46. 30 Calculate the remainder when 1594 is divided by 797. 0 Calculate the remainder when 2114 is divided by 93. 68 What is the remainder when 7227 is divided by 139? 138 Calculate the remainder when 119 is divided by 53. 13 What is the remainder when 76 is divided by 25? 1 What is the remainder when 3309 is divided by 182? 33 Calculate the remainder when 532
{ "pile_set_name": "DM Mathematics" }
quence crz when three letters picked without replacement from zkczrrrzzrrmicrrz? 7/408 Calculate prob of sequence wwx when three letters picked without replacement from xxxxxxxxxwwxwxxxxxwx. 8/285 Three letters picked without replacement from npnpnpnn. Give prob of sequence npn. 5/28 Four letters picked without replacement from {h: 5, r: 5, q: 4}. What is prob of sequence rrqr? 10/1001 Calculate prob of sequence quq when three letters picked without replacement from uqqqquuquuqqqq. 15/91 Three letters picked without replacement from jjjrrbrrjrrrjrj. What is prob of sequence jbj? 1/91 Calculate prob of sequence tsu when three letters picked without replacement from {t: 1, b: 4, s: 12, u: 3}. 1/190 Three letters picked without replacement from wwwwuwwwwwwuwwwwuuww. What is prob of sequence uuw? 8/285 What is prob of sequence pyp when three letters picked without replacement from ppppyyeep? 5/63 What is prob of sequence pk when two letters picked without replacement from rtwkwhp? 1/42 Four letters picked without replacement from aaazzaazzaa. What is prob of sequence azaa? 7/66 What is prob of sequence qq when two letters picked without replacement from {q: 1, k: 5, y: 5}? 0 Calculate prob of sequence gg when two letters picked without replacement from {c: 3, g: 6, t: 3, b: 7}. 5/57 What is prob of sequence hku when three letters picked without replacement from eqmkhhuqhehm? 1/330 Calculate prob of sequence efoe when four letters picked without replacement from eoeef. 1/20 Two letters picked without replacement from jjjjj. What is prob of sequence jj? 1 Four letters picked without replacement from {j: 6, d: 3, u: 4, n: 1, i: 2}. Give prob of sequence uinu. 1/1820 What is prob of sequence jr when two letters picked without replacement from nxjrxpry? 1/28 Three letters picked without replacement from {r: 2, b: 7, h: 1, d: 7}. What is prob of sequence ddh? 7/680 Two letters picked without replacement from ccccctttct. What is prob of sequence tc? 4/15 What is prob of sequence qqrq when four letters picked without replacement from {q: 3, r: 1}? 1/4 Two letters picked without replacement from nnnnnn. What is prob of sequence nn? 1 What is prob of sequence kj when two letters picked without replacement from jkjkkk? 4/15 Four letters picked without replacement from tajaryyytyjyyaj. What is prob of sequence yjjy? 1/182 Four letters picked without replacement from {i: 3, o: 5, k: 5, u: 2}. Give prob of sequence ukik. 1/273 Four letters picked without replacement from atat. What is prob of sequence atat? 1/6 Two letters picked without replacement from jllncc. What is prob of sequence ln? 1/15 Calculate prob of sequence hhgh when four letters picked without replacement from hhzzzfgzghhf. 2/495 Calculate prob of sequence hju when three letters picked without replacement from {h: 3, j: 2, a: 1, p: 9, u: 4}. 4/969 Calculate prob of sequence jrz when three letters picked without replacement from {r: 4, x: 2, v: 3, u: 1, z: 2, j: 2}. 2/273 Four letters picked without replacement from qniqiepinpqqner. What is prob of sequence npii? 1/910 Two letters picked without replacement from vuccbzkk. Give prob of sequence vk. 1/28 Three letters picked without replacement from pcccfckpfkcc. Give prob of sequence fcp. 1/55 Three letters picked without replacement from rrprprrpprpppppprpp. What is prob of sequence ppp? 220/969 Calculate prob of sequence zzk when three letters picked without replacement from kkkzkczkkzzgzckkzzcc. 14/285 Calculate prob of sequence lk when two letters picked without replacement from {k: 5, l: 5, f: 2, x: 1, v: 5}. 25/306 Two letters picked without replacement from imamging. Give prob of sequence ig. 1/14 Calculate prob of sequence yqqy when four letters picked without replacement from qyyyyqyqqqqqqqyyyyq. 45/646 Four letters picked without replacement from {n: 4, a: 7, r: 1, e: 2}. What is prob of sequence eenr? 1/3003 Four letters picked without replacement from {g: 3, e: 5}. Give prob of sequence eeee. 1/14 What is prob of sequence qsau when four letters picked without replacement from aujajjsqjj? 1/2520 What is prob of sequence ss when two letters picked without replacement from xsxsexee? 1/28 Calculate prob of sequence zdd when three letters picked without replacement from {d: 3, z: 1}. 1/4 Three letters picked without replacement from {k: 1, d: 7, y: 2, n: 8}. What is prob of sequence ynk? 1/306 Calculate prob of sequence fpp when three letters picked without replacement from ffpfpp. 3/20 Four letters picked without replacement from sosoososos. What is prob of sequence soso? 5/63 What is prob of sequence tt when two letters picked without replacement from ttttutytutyttyt? 3/7 Calculate prob of sequence zaaj when four letters picked without replacement from nzzaanajaazzzjaan. 1/136 Two letters picked without replacement from zlulqq. Give prob of sequence uq. 1/15 Three letters picked without replacement from {m: 3, c: 12}. What is prob of sequence cmc? 66/455 Three letters picked without replacement from isfzxzl. What is prob of sequence isz? 1/105 What is prob of sequence ddpp when four letters picked without replacement from ppvvvpvdvdvvvvppvpv? 5/7752 Four letters picked without replacement from yymyymyymmymyy. Give prob of sequence mymy. 60/1001 What is prob of sequence zs when two letters picked without replacement from {s: 3, z: 2}? 3/10 What is prob of sequence mm when two letters picked without replacement from {p: 3, m: 2, c: 3}? 1/28 Calculate prob of sequence uee when three letters picked without replacement from {c: 3, a: 7, k: 3, e: 5, u: 1}. 10/2907 Two letters picked without replacement from {y: 1, b: 2, s: 1, x: 1, o: 2, n: 1}. What is prob of sequence sn? 1/56 Two letters picked without replacement from jjjjjjjjjrjjrrjjrrjj. Give prob of sequence jr. 15/76 Four letters picked without replacement from zvlvzrpzrz. What is prob of sequence zvpv? 1/630 Four letters picked without replacement from vbbbbvbbbvvbqbbvvb. Give prob of sequence vqbv. 11/2448 Two letters picked without replacement from skknscsnssns. What is prob of sequence nn? 1/22 Four letters picked without replacement from yyjcjyjuyjjjcyyjjj. Give prob of sequence jujc. 1/510 Four letters picked without replacement from fffffxffxfxfxfffxxx. Give prob of sequence ffff. 165/1292 Calculate prob of sequence qdr when three letters picked without replacement from {p: 1, d: 11, i: 2, r: 3, q: 1}. 11/1632 Four letters picked without replacement from mmmtdmllmtld. Give prob of sequence mddl. 1/396 Four letters picked without replacement from {d: 2, k: 7}. What is prob of sequence kdkd? 1/36 What is prob of sequence kkcp when four letters picked without replacement from {p: 4, k: 3, c: 4, w: 6}? 1/595 Calculate prob of sequence elx when three letters picked without replacement from eclex. 1/30 Three letters picked without replacement from oqzmd. What is prob of sequence zoq? 1/60 Four letters picked without replacement from oooo. Give prob of sequence oooo. 1 Three letters picked without replacement from {b: 6, h: 3,
{ "pile_set_name": "DM Mathematics" }
-3 Suppose -4*a = -9*x + 6*x - 3487, 4*a = 5*x + 3481. Let y be 1/13 + a/299. Solve 0 = y*q + 2*q - 2*h + 19, -q + 5*h + 10 = 0 for q. -5 Suppose -2*k + r + 1615 = 0, -r + 10 - 9 = 0. Suppose 4 = k*f - 806*f. Solve 1 = -l + 3*c, 2*l = -0*l - f*c + 14 for l. 5 Let u(w) = 2*w**2 - 58*w + 312. Let o be u(7). Solve -2*h = -5*x + 33, 2*h - o*x + 18 = -10 for h. -4 Suppose 5*t - 3*t - 230 = 0. Suppose -3*l + 481 = 4*o, -l + 475 = 7*o - 3*o. Let k = o - t. Solve -3*m = -0*w + 4*w + 26, -m = -k*w - 13 for w. -5 Let h be ((-18)/15)/(6/(-50)). Let v = -12 + 7. Let n = v + h. Solve n*w + 4 - 26 = -c, 2*w + 3*c - 1 = 0 for w. 5 Let t = -6 - -9. Let p = -1142 + 1145. Solve -2*w - 2 = -p*i, 7*w + 18 = t*w - i for w. -4 Suppose -2*m + 93 - 19 = 0. Suppose -5*o + 43 + m = 0. Let k = o - 10. Solve k = -u - 0*u - 2*q, 5*u = -5*q - 10 for u. 2 Let w(x) = 11*x**2 + 42*x - 15. Let q(b) = -7*b**2 - 28*b + 10. Let p(c) = 8*q(c) + 5*w(c). Let u be p(0). Solve l - 8 = 2*s + u*l, 3*l + 1 = s for s. -2 Suppose 2*x - 41 + 85 = 0. Let p(s) = s**2 + 21*s - 20. Let i be p(x). Solve 0 = -z + i*l + 15, -2*z - 5*l = -4*z + 35 for z. 5 Let u(h) = h**3 + 24*h**2 - 28*h - 75. Let r be u(-25). Solve -4*g = 3*k - r*k - 22, 2*k + 8 = 3*g for g. 4 Let v be ((-1)/(-3))/((-1)/(-15)). Let m = -5 + 6. Let t = 3 + m. Solve 0 = 5*y + v*c + 45, t*y - 8 = 4*c - 4 for y. -4 Let s = -3 - -10. Let v = s + -5. Let k(y) = -y**2 + 36*y - 311. Let l be k(17). Solve -4*x + v*x + 7 = -f, 4*f + l = 0 for x. 2 Let d be 6 + (12 + -10 - 1). Solve -d*x + 4*s + 12 = -8*x, 4*s = -4*x for x. 4 Let o = 177 - 177. Suppose -3*a = i + 3, 2*a + 3*i + 9 = 3*a. Suppose a = 5*p - p - 16. Solve -5*x - 2*v + 24 = o, x + 8 = 5*x - p*v for x. 4 Suppose -4*r + 2*r = -20. Suppose r*s - 5*s - 35 = 0. Solve -2*d = -3*f - s, 3*d - 17 = -2*f - 0*f for d. 5 Suppose j - 27 = -5*o + 8*o, 4*o + 8 = 0. Solve -5*x = -4 - j, -3*b = x - 32 for b. 9 Let f(j) = j**2 + 6*j + 10. Let o(x) = -11*x + 82. Let z be o(8). Let k be f(z). Solve -k = -s - 5*m, -4 = -4*s + s - 2*m for s. 0 Let s(a) = -a**2 - 8*a + 21. Let g be s(2). Let q be (-1 + (g - -1))/(3/6). Solve 14 = q*z - 5*h, 10 = 2*z - 4*h - 2 for z. 2 Let p(w) = -2*w + 52. Let a be p(32). Let m be -6 + 5 + a/(-3). Solve f = -0*o - o - m, 3*f = 3*o + 15 for f. 1 Suppose -5*z - 5*q + 100 = 0, -6*z + 5*q + 75 = -4*z. Solve -2*a - 2*a - 5*s + z = 0, 10 = -a + 2*s for a. 0 Suppose y = -0*y + 22. Let i be (-12 + 693/55)*5. Solve i*w = 3*k + 9, -2*w + w - 4*k = y for w. -2 Suppose 2798*p - 2772*p = 156. Solve 8*c = 3*u + 6*c + 2, -3*c - p = 0 for u. -2 Let o = -18 - -18. Suppose -5*u + 14 + 1 = o. Let b be ((-10)/4)/(u/6*-1). Solve -2*q - g - 10 = 0, -2*q + b*q + 4*g = -15 for q. -5 Suppose 3*s = 4*j - 962, 15 = 2*j + 4*s - 455. Let k = 242 - j. Solve q + 3 = -0*q, 34 = 5*w - k*q for w. 5 Let m be (-102)/34*(-13)/3. Suppose 34 = -m*w + 216. Solve -5*i - w = u, 0 = 3*u - 4 + 1 for i. -3 Suppose -4*d + 5*t = -26, 16 - 4 = 2*t. Solve 4*c + m = 5, -d*c - 3 = -16*c - m for c. 1 Let f = 171 + -94. Let t = 95 - f. Solve 5*y - 6 = 2*l - 19, 3*l + 5*y + t = 0 for l. -1 Let i(t) = -202*t + t**3 + 44*t**2 + 192*t - 37*t**2 - 16. Let j be ((-4)/(-6))/((-2)/24). Let u be i(j). Solve -4*o + 20 = 3*x, u = -5*x + o - 5*o + 20 for x. 0 Let s be (1 - 2)*(57 - 0). Let z = s - -61. Suppose -z*b - 2 + 14 = 0. Solve 2*q = x + b, 5*x = 4*q - 3*q + 12 for q. 3 Let r = 3 - -14. Suppose 6317*s - 6314*s = 2*j + 104, -3*s - j + 74 = 0. Solve n = -3*c - c + r, 5*c - s = n for n. -3 Let v be 1504/224 - -1*2/7. Let j(a) = -a**3 + 6*a**2 + 22*a - 87. Let n be j(v). Solve l + 2*g - 6*g + 21 = 0, 0 = 3*l - 3*g + n for l. -1 Suppose v + 81 = 101. Let f be -3 - v/(-5 - -1). Solve 4*a = -4, 0 = -2*b - 3*a - f*a - 11 for b. -3 Let v = 6100 - 6100. Solve -11*w + 14*w + 2*l + 19 = 0, 4*l + 20 = v for w. -3 Suppose -6*f + 28*f = 6820 - 6820. Solve f = -a - 4*t + 8*t, 5*t = 5*
{ "pile_set_name": "DM Mathematics" }
4370560*r**3 - 4 Differentiate 157468*a*n + 2083*a + 252*n + 2156963 wrt a. 157468*n + 2083 What is the third derivative of 13961610*c**4 - 2*c**3 - 430*c**2 - 25*c - 2133? 335078640*c - 12 Find the second derivative of -23*h**3*s + 101777*h**2*s - 3*h*s + 263335*h - s + 2 wrt h. -138*h*s + 203554*s Find the third derivative of 2014443*c**4*z**2 - 2*c**3*z**2 - 3*c**2*z**2 - 3*c**2*z - 4339*c*z**2 - 13*z wrt c. 48346632*c*z**2 - 12*z**2 What is the second derivative of 15111*c**2*k*p + 397*c**2*k - 99*c*k*p + 13*c*k - 2*c + 2*k - 1 wrt c? 30222*k*p + 794*k What is the second derivative of 64955*h*o**2 - 600*h + 465*o**2 - 89817*o wrt o? 129910*h + 930 Differentiate 5826989*j**4 - 89324869 wrt j. 23307956*j**3 Find the second derivative of -32*o**3*r**2 - 18*o**3*r - o**3 + 6*o**2*r**3 - o**2 - 76*o*r + o + 227483*r**2 + 5939 wrt r. -64*o**3 + 36*o**2*r + 454966 What is the second derivative of 2*r**5 + 9544702*r**2 - 22415468*r? 40*r**3 + 19089404 What is the second derivative of 6793*j**3 - 2*j**2 - 2*j - 12061103 wrt j? 40758*j - 4 What is the third derivative of -37*d**3*j**2 - 344517*d**3*j + 8*d**3 - 1033*d**2*j - 5*d*j**2 - 996*j**2 - 2 wrt d? -222*j**2 - 2067102*j + 48 Find the second derivative of -77242053*f**3 - 24003017*f wrt f. -463452318*f What is the second derivative of 769776972*z**2 + 329285214*z wrt z? 1539553944 What is the first derivative of 3*p**2*t**2 + 231626330*p**2 - 18283081*p*t**4 wrt t? 6*p**2*t - 73132324*p*t**3 Find the third derivative of -g**5 - 23*g**4 - 782872*g**3 + 14515831*g**2 + 3*g - 1 wrt g. -60*g**2 - 552*g - 4697232 Find the first derivative of 22006*a*t**3 - 1134*a*t - 55835442*t**3 wrt a. 22006*t**3 - 1134*t Find the third derivative of 825803202*n**4 + 12258*n**2 + 6*n - 211 wrt n. 19819276848*n What is the third derivative of 466449389*n**3 - 117511449*n**2 - 3 wrt n? 2798696334 What is the first derivative of -172529777*l*n**2 + 31642873*n**2 wrt l? -172529777*n**2 What is the second derivative of h**2*p + 8618920*h**2 - 8351*h*p - 2*h - 14*p - 7 wrt h? 2*p + 17237840 Find the second derivative of -19*j**4 - 10289*j**3 - 6*j**2 - 698050*j + 1 wrt j. -228*j**2 - 61734*j - 12 Find the third derivative of 48448*r**6 + 2*r**4 - 27*r**3 + 18708748*r**2 wrt r. 5813760*r**3 + 48*r - 162 Differentiate 282870*c**4 - 24*c**3*w**3 - 29*w**3 - 2*w**2 - 2*w + 15777 wrt c. 1131480*c**3 - 72*c**2*w**3 Differentiate 2844753*v**3 - 13*v*y - 86764920*y with respect to v. 8534259*v**2 - 13*y Find the third derivative of -918548059*a**3 + 457109264*a**2 + a - 2. -5511288354 What is the third derivative of w**6 - 47615279*w**4 + 8272690*w**2? 120*w**3 - 1142766696*w What is the first derivative of -53307*v**2 + 576*v + 1155862127 wrt v? -106614*v + 576 What is the second derivative of -159*h**2*j**3 - h**2*j + 72*h**2 + h*j**3 - 2*h*j - 2180*j**3 - 155*j**2 - 2 wrt h? -318*j**3 - 2*j + 144 Find the first derivative of -46339131*z + 60948872. -46339131 Differentiate -s*u**2 + 566655*s*u*v - 3*u**2*v - 996044*u**2 - u*v wrt s. -u**2 + 566655*u*v Find the second derivative of -2*i**3 - 105253*i**2 + 3462*i - 645. -12*i - 210506 What is the third derivative of -16*l**4 + 1185850*l**3 - 148*l**2 + 9*l + 689 wrt l? -384*l + 7115100 What is the derivative of -4914278*z - 101324530? -4914278 Differentiate 55838295*u - 105467842. 55838295 Find the first derivative of 1479*n**4 + 2*n**2 + 4571*n - 137009630. 5916*n**3 + 4*n + 4571 Find the third derivative of 598042461*h**6 + 2*h**5 - 47102554*h**2 - 3*h + 1. 71765095320*h**3 + 120*h**2 Differentiate 18057*b**3 - 40*b**2 + 12831970 wrt b. 54171*b**2 - 80*b What is the derivative of 4172884*t - 3585387 wrt t? 4172884 Find the third derivative of -23*k*q**4 - 36378*k*q**3 + 1120*k*q**2 + 3*k - q**4 - 11*q - 11 wrt q. -552*k*q - 218268*k - 24*q What is the second derivative of 8024*n**5 - 1273*n**4 - n**3 - 211950099*n wrt n? 160480*n**3 - 15276*n**2 - 6*n Differentiate y**2 + 6825537*y - 41398953 wrt y. 2*y + 6825537 What is the first derivative of -64692593*a**2 - 78596640? -129385186*a Differentiate 133503245*m - 91816689 wrt m. 133503245 What is the second derivative of -47160235*o**2 - o + 5927485? -94320470 Find the third derivative of -10096256*w**4 - 54149520*w**2. -242310144*w What is the third derivative of 30275256*a**3 - 19117881*a**2? 181651536 Differentiate 113*o*s**2 - 2512*o*s + 310*o + 686609371*s**2 + 2 wrt o. 113*s**2 - 2512*s + 310 Find the second derivative of -2*q**2*v*x**2 - 6*q**2
{ "pile_set_name": "DM Mathematics" }
o**4. 56237*o**4 Expand -2790 + 2790 + 19*f + f**2 - f**3 + (7 + 35 - 63)*(2*f**3 - 5*f**3 + f**3) + 3*f - 3*f + f**3. 42*f**3 + f**2 + 19*f Expand (-2 + x + 1 - 2)*(-530*x + 5 + 1005*x - 593*x). -118*x**2 + 359*x - 15 Expand ((-3 + 4 + 1)*(-3*t**3 + t**3 + 4*t**3) + 20*t**3 - 3*t**3 + 61*t**3)*(-37*t + 2*t - 36*t + (5*t - 5*t - 2*t)*(-2 - 3 + 3)). -5494*t**4 Expand -2*t**5 - 6*t**4 - 124*t + 126*t + 5*t**4 + (2*t**5 - 2*t**5 + 2*t**5)*(62 - 236 + 122). -106*t**5 - t**4 + 2*t Expand g - g**3 - g + (-g - g + 0*g)*(-g + g - 3*g**2) + 4*g**3 + 2*g**3 - 4*g**3 + 35*g - 25*g - 21*g**3 + 27*g**3. 13*g**3 + 10*g Expand (-2*g - 1 + 1)*(2*g - 4 + 4) - 38*g + 112*g**2 + 38*g + (-5*g + 4*g + 8*g)*(3*g + 2*g - 3*g). 122*g**2 Expand (42 + 7*t - 42 + (-3 + 5 - 1)*(-2 - t + 2) - 3*t - t + 6*t - 5*t + 3*t + 3*t - 16 + 11*t + 16)*(-2*t - t + 2*t)*(6*t**3 + 5*t**3 - 2*t**3). -180*t**5 Expand (d + 0*d - 2*d)*(14*d + 15*d - 11 - 2*d**2 - 17*d). 2*d**3 - 12*d**2 + 11*d Expand (1638*u - 8242 + 8242)*(-3*u + 0*u + 2*u)*(3*u - 3*u - u). 1638*u**3 Expand -2*l + 7*l + 2*l + (2 + 0 - 1 - 3*l)*(-33 - 38 - 28) - 2*l + 5*l - l. 306*l - 99 Expand (4*n**4 - 6*n**4 + n**4)*(180*n + 640*n + 969*n)*(4 - 3 - 3). 3578*n**5 Expand (1 - 22 + 7)*(-1 + 2 + 1)*(3*u**2 + 11*u**2 + 12*u**2). -728*u**2 Expand (-6*v**2 + 4*v**2 + 0*v**2)*(-1 + 3 - 1) - 58 - 9*v**2 + 58 + 12*v**2 + v**2 - 45*v**2 + (1 - 5 - 1)*(-3 + 1 + 3*v**2 + 0). -58*v**2 + 10 Expand (-8*b - 3*b - 10*b**4 + 121*b**2 - 11*b**2 + 11*b)*(2 - 4*b - 2). 40*b**5 - 440*b**3 Expand (2*r + 2*r - 2*r)*(-7*r + 2*r + 3*r) + 0*r**2 - r**2 + 3*r**2 + 4 - 14*r**2 - 4 + (-r + 4*r - 5*r)*(15*r - 90*r - 111*r). 356*r**2 Expand (4 + 27 - 1)*(-4 - 1 + 4)*(-15*x**3 - 9*x**3 + 54*x**3)*(7*x - 2*x + x). -5400*x**4 Expand -224*a**2 - 634*a**2 - 195*a**2 + (-2*a - 2*a + 2*a)*(2*a + 0*a - 4*a) + 0*a**2 + 3*a**2 - a**2. -1047*a**2 Expand (7*o - 87 + 87)*(4*o**3 - o**3 + 0*o**3 + (0 + 0 + 2*o**3)*(-2 + 5 - 1)) + (2*o + 2*o - 2*o)*(o**3 + o**3 + 0*o**3). 53*o**4 Expand (1441 + 1357 + 22 + 1719 - 924)*(-3*y**2 + 3*y**2 - y**5). -3615*y**5 Expand -6*g**5 - 6*g**5 - 3*g**5 + (-3*g + 20*g - 6*g)*(-3*g**3 + 7*g**4 + 3*g**3). 62*g**5 Expand (3*i - 2*i + i)*(0 + 0 + i)*((-3 + 2 - 1)*(3260 - 3260 + 486*i) + 0*i + 3*i - i). -1940*i**3 Expand (d + 2*d - 2*d)*(-73 - 36*d**2 + 60*d**2 - 26*d**2)*(-3*d - 4*d + 6*d). 2*d**4 + 73*d**2 Expand (-48 - 54 + 30)*(-8*h + 2*h - 2*h**4 + 69*h**5 - 70*h**5). 72*h**5 + 144*h**4 + 432*h Expand (-7 + 4 + 11)*(196 - 55*c**2 - 196) + (3*c - 3*c + c)*(-2*c + c - c). -442*c**2 Expand (54*x - 83*x + 68*x)*(-15 - 10*x**2 + 26 + 2*x - 16). -390*x**3 + 78*x**2 - 195*x Expand (2 - 1 - 3)*(3*w - 5*w + w) + (-11 + 399 - 1)*(4 - 4 + 2*w). 776*w Expand (2 - 2*s - 2)*(-2 - 2 + 3)*(-3*s + 49159*s**2 - 49173*s**2 + 2*s + 12). -28*s**3 - 2*s**2 + 24*s Expand (-21 + 13 - 41)*(-62*c**5 - 36*c**5 + 78*c**5) + c**5 + c**5 - 5*c**5. 977*c**5 Expand (13 + 110 - 13)*(-4*n + n - 5*n + (-4*n + 0*n + 5*n)*(5 - 1 - 2)). -660*n Expand (1 - 1 - 3*n**4)*(n + 2*n - 2*n) - 374*n**2 + 374*n**2 + 3332*n**5 + n**5. 3330*n**5 Expand (-60 - 54*t + 60 + t**5)*(-22 + 21 - 23). -24*t**5 + 1296*t Expand -4*i**2 + 2*i**2 + 0*i**2 + (-4*i + 4 - 4)*(-82 - 521 - 64)*(9 + 3*i - 9). 8002*i**2 Expand (51*b - 3 + 4*b - 28*b)*(-3*b + b + 7*b)*(6 + 4*b - 6). 540*b**3 - 60*b**2 Expand (-16 + 3 - 19 + ((4 - 2 - 3)*(3 - 2 - 3) + 0 + 0 + 1)*(-2 - 2 + 2) + 2 - 5 - 3)*(0*b**4 - 2*b**4 - 2*b**4). 176*b**4 Expand (-3798*d - 1625*d + 622*d)*(-1 + 3 - 1)*(-6 - 1 + 2). 24005*d Expand ((-o + 3*o - 3*o)*(-4 + 1 + 1) + 7*o - 5*o + 9*o)*(-4*o + 2 - 2)*(-24*o**3 + 11 - 11). 1248*o**5 Expand -346*n**2 + 164
{ "pile_set_name": "DM Mathematics" }
(i) = -2 - 1851782*i - 1181550*i - 2. Let g be (2/4 - 0)*6. Let u be c(g). What is u rounded to the nearest 1000000? -9000000 Let m = 32 + -31.9951. What is m rounded to 3 dps? 0.005 Let d(q) = q**2 + q**2 + 1 + q**3 + 0*q**3 - 2*q. Let o be d(-2). What is o rounded to the nearest integer? 5 Let p = -80 + 9. Let w = p - -70.9909. Round w to three dps. -0.009 Let h = -2 - 10.2. Let d = h + 13.97. Let n = 1.7699913 - d. Round n to six dps. -0.000009 Let v(g) = 81*g**2 - 20*g - 16. Let s be v(16). Round s to the nearest 1000. 20000 Let n = -0.1628 + 0.17. Round n to three dps. 0.007 Let v = 233221486289.1 - 233221380078.1939929. Let d = v - 106211. Let p = -0.094 - d. Round p to 6 dps. -0.000007 Let m = 1.030216 - 0.94021. Let g = m + -0.09. Round g to five decimal places. 0.00001 Let s = -5 - -4.5. Let v = 0.50000095 + s. Round v to seven decimal places. 0.000001 Let m = 0.16 + -0.1649. Round m to 3 decimal places. -0.005 Let h = 1071.5 - 1073.4012. Let w = -1.9 - h. Round w to 4 dps. 0.0012 Let j = -319.0203 + 319. What is j rounded to 3 decimal places? -0.02 Let l = -3 - -2.6. Let h = 0.39999904 + l. What is h rounded to seven dps? -0.000001 Let d = 3.1 + -3.09848. What is d rounded to four decimal places? 0.0015 Suppose -4*f = -f - 360000. Round f to the nearest 100000. 100000 Let t(u) = -112*u**2 + 8*u - 6. Let j(n) = 223*n**2 - 16*n + 11. Let k(x) = -3*j(x) - 7*t(x). Let h be k(-7). What is h rounded to the nearest 1000? 6000 Let z = -0.081 - -0.044. Round z to 2 dps. -0.04 Let n = 10.21 + 36.49. Let q = -36 + n. Let y = -12 + q. Round y to 0 decimal places. -1 Let h = -0.1 - -0.058. What is h rounded to 2 decimal places? -0.04 Let i = 5.3 - 72.3. Let s = i - -45. Let q = 21.99945 + s. What is q rounded to 4 dps? -0.0006 Let a = 7781.84418 - 7773.84417982. Let g = -8 + a. What is g rounded to seven decimal places? 0.0000002 Suppose -56 = -5*j - 2*a, 5*a - 35 = j - 3*j. Let d = j - 8. Suppose -d*x = -7*x - 8600000. Round x to the nearest one hundred thousand. -1700000 Let t = 230.59 - 232. Round t to one decimal place. -1.4 Let b(z) = z**3 - 5*z**2 - 5*z + 2. Let d be b(6). What is d rounded to the nearest ten? 10 Let v = 8.500397 + -8.5. Round v to 4 decimal places. 0.0004 Let k = -0.7509188 + 305.7648188. Let m = k - 305. Round m to 3 decimal places. 0.014 Let s = 3.617 - -0.243. Let r = 3.3 - s. Round r to 1 decimal place. -0.6 Let d = -1.81 + -0.19. Let h = d - -11.6. Round h to the nearest integer. 10 Let h = 65 - 65.106. Let f = -0.11 - h. Round f to 3 decimal places. -0.004 Let d = 5010 - 4586.4. Let l = -352 + d. Let z = -78 + l. What is z rounded to 0 decimal places? -6 Let k = -52.23771955457 + 24852765.23830955457. Let f = k + -24852570. Let v = f - 143. Round v to four dps. 0.0006 Let h = 0.13 - 0.206. Let x = h - -0.137. Round x to 2 dps. 0.06 Let u be (-16500)/((-4)/((-480)/(-9))). Let j be u/(-2)*(0 + -10). Round j to the nearest 1000000. 1000000 Let f = 0.052 - 0.051929. Round f to 5 dps. 0.00007 Let c(v) = v - 3. Let g be c(7). Suppose 4 = -g*t - 5*b, 3*t + t = 3*b + 28. Suppose d + 126 = t*d. Round d to the nearest ten. 40 Suppose -5*r + 8*r = 438. Round r to the nearest 10. 150 Let a = -1637 + 1638.907. Let t = a - 2.01. Let o = -7.003 - t. Round o to 0 decimal places. -7 Let v = 50.7 - 47. What is v rounded to zero decimal places? 4 Let u be (-4)/6 - (-214)/6. Suppose -3*l = -4*l + u. Round l to the nearest ten. 40 Suppose 7*z - 3*z = 35200000. Suppose 4*v - z = -0*v. What is v rounded to the nearest one hundred thousand? 2200000 Let z = -3 + 3. Suppose z = -0*k + 4*k - 12. Let l(f) = -1544445*f**2 + f + 2. Let p be l(k). Round p to the nearest 1000000. -14000000 Let m = 0.07 + -0.37. Let l = 102 + -97.9. Let n = m - l. What is n rounded to the nearest integer? -4 Let j = -39 - -37.88. Let x = j + 48.12. Let f = -46.999942 + x. What is f rounded to five decimal places? 0.00006 Suppose 2*c - 4*c = -54. Let q(l) = 3*l + 15*l**2 - 6*l**2 + c*l**2 - 3. Let d be q(3). Round d to the nearest one hundred. 300 Let r = 6.65 + -7. Let j = -0.1 - r. Let f = -0.24922 + j. Round f to four decimal places. 0.0008 Let r = 19916848450 - 19916840263.349999. Let v = r - 8186.7. Let t = v - -0.05. What is t rounded to five dps? 0 Let x(a) = 10*a - 5. Suppose -2*y + 12 = -5*y. Let u be x(y). Round u to the nearest ten. -50 Suppose y + 0*y - 3 = 0. Suppose -12 = y*c + 4*a, 3*a + 9 = -2*c - 0. Let j be -1*(2 + c - 2). What is j rounded to 7 decimal places? 0 Suppose j + 3*j - 760 = -5*i, 0 = -5*i. What is j rounded to the nearest 100? 200 Let s = -30946.928 - -30938.9564852. Let k = s + 5.67151521. Let r = 2.3 + k. Round r to 7 dps. 0.0000004 Let w = 74 + -73.99815. Round w to four decimal places. 0.0019 Let o = 6 + -6.1. Let p = 0.4 - o. Let z = p - 0. Round z to 0 decimal places. 1 Suppose 4*k = -11 + 27.
{ "pile_set_name": "DM Mathematics" }
ch is the fourth biggest value? (a) j (b) 0.3 (c) -1 (d) h c Let f = 1896.7 - 2009. Let b = f + 105. Let r = b - -7. What is the fourth smallest value in r, -2/5, 5, -5? 5 Let f = -203.27 + 0.27. Let n = 202 + f. Which is the second biggest value? (a) 2 (b) 18 (c) n a Let d(n) = n**3 + 4*n**2 - 6*n. Let w be d(-5). Let q = 409/6314 - -3/451. What is the third smallest value in -2/5, 1/2, w, q? 1/2 Let l = 15554 - 15553.8. Which is the biggest value? (a) l (b) 0.5 (c) 0.1 (d) 0.06 (e) -0.1 b Let g = -0.423 + -274.577. Let i = g + 274. Which is the smallest value? (a) -2/9 (b) i (c) -2/17 (d) -3 d Let q = 13 - 17. Let h be 4*(4 + 8982/(-84)). Let v = -412 - h. Which is the second biggest value? (a) 7 (b) q (c) v c Let x be ((-280)/245)/(22/14). What is the third biggest value in x, 5, -6? -6 Let w = -9.94 - -10.4. Let m = w + -0.46. What is the fourth smallest value in -0.07, m, -5, -5/6? m Let r(t) = 3*t**2 + 6*t - 22. Let z be r(-12). Let y be z/(-156) - (1 - 3 - 1). Let k = 0.2 - 0.6. Which is the second biggest value? (a) 2 (b) k (c) y c Let j = -45347/4 + 4128185/364. Let p = 17594/7 + -2518. Let y = j + p. What is the third biggest value in y, 1, 5/4? y Let z(v) = v**3 + 10*v**2 - 51*v - 327. Let x be z(-12). What is the second biggest value in 0.8, -0.07, x, -0.5? -0.07 Let u = -0.083 - -0.583. Let s = 36 + -31. What is the fourth biggest value in 0.4, 4, s, u? 0.4 Suppose 0 = t + 2*t - 15. Let x = -37.294 - -34.294. Which is the second biggest value? (a) -2 (b) x (c) t a Let s = 5005 + -5005. Which is the third smallest value? (a) 2.1 (b) -3 (c) -0.2 (d) s d Let s = 6.2551 + -6.23. Let r = s + -0.3251. What is the third smallest value in r, 5/6, 8? 8 Let g be ((-3)/66)/((-23)/((-759)/(-6))). Which is the fifth smallest value? (a) 36 (b) g (c) 2/17 (d) 1/3 (e) 0 a Let w = -29.78 + 29.79. Which is the smallest value? (a) -2/19 (b) w (c) -2 (d) 223 (e) 2 c Let y = 1.375 - 51.375. Let g = 1 - -4. Which is the second biggest value? (a) -2 (b) g (c) y (d) -2/15 d Let y = -3.89 + -0.11. Let w = 0.0955 - 0.3955. Let u = 165.4 - 165. What is the biggest value in u, w, y, 1? 1 Let m be ((-28)/84)/((-2)/(-276)). Let v = m + 48. Let u = 3.9 + 1.1. Which is the second smallest value? (a) -0.1 (b) u (c) v c Let o = -6 + 13. Let f = o - -4. Let m = 483 + -488. Which is the biggest value? (a) 0 (b) f (c) m (d) 0.5 b Let j(b) = b - 1. Suppose -4*x + 3*a + 10 = -0*x, 5*x - 5*a = 15. Let o be j(x). Let w = 45 + -38. What is the third biggest value in -0.2, o, w, -2? -0.2 Let r be ((-10)/6)/5*6. Let c be (((-12)/96)/(2/8))/(56/(-16)). What is the fourth biggest value in r, c, -0.4, 1.8? r Let s = -404.2 - -10.2. Let v = s + 389. What is the second smallest value in 0.5, 2/17, v? 2/17 Let y = -1112 + 1131. Let w = -4 + 45. Let k = -163/4 + w. Which is the third biggest value? (a) k (b) 2 (c) y a Let r(u) = -u**3 + 212*u**2 - 1237*u + 8. Let i be r(6). Suppose 4*v - 122 = -3*s, 5*s + 42 = -v + 2*v. Which is the smallest value? (a) -0.4 (b) v (c) i a Let v = 23.629 - 23.229. Which is the smallest value? (a) -2/3 (b) v (c) -560 (d) -2 c Let b = 1846 - 1848. What is the biggest value in b, -1, 0? 0 Let i be (-4)/(-28)*40/(-460). Which is the second smallest value? (a) 4 (b) 0.2 (c) i (d) 24 b Let z = -0.1982 - -0.6982. Let i be 1/19*1*-2. What is the smallest value in z, 3, i, 4? i Let i = 0.3 - -0.2. Let s = -754 - -748. What is the second smallest value in s, i, 0.3? 0.3 Let c = 18 + -17.3. Let v be (-6 + 1)*(-88)/10 - 3. Suppose -v*q + 44*q = -9. What is the biggest value in c, -3/2, q, -0.1? c Let x = -0.53 - -0.56. What is the third smallest value in 13/3, x, -5? 13/3 Let a = 0.18105 + -10.18105. What is the second smallest value in 1/2, a, -7, -17? a Let p = 1335 + -73427/55. Let d = -20213 + 20213.4. What is the third smallest value in p, d, -5? d Let b = 0.46 + -0.06. Let h = -0.063 - 92.937. Let s = h - -96. What is the second smallest value in b, s, 2/7, -2? 2/7 Let q = -2 + -3. Suppose 0 = -2*t - 4*s + 10, 0 = -3*t - 3*s + 5 + 1. Let u = 475 + -473. Which is the third biggest value? (a) q (b) u (c) t a Let v = -12 + 15. Let g be 12/(-24) + (-89)/(-2). Suppose 0 = 24*q - 28*q - g. Which is the second biggest value? (a) 1/2 (b) v (c) q a Let w = 20 - 17. Let m(x) = x**3 - 4*x**2 + x + 1. Let k be m(4). Let z = -83.8 + 84. Which is the third smallest value? (a) 0 (b) w (c) z
{ "pile_set_name": "DM Mathematics" }
- 52392. Is z prime? True Let v = 1801904 - 1261269. Is v a prime number? False Suppose 6 = 7*l - 8. Suppose -6 = -4*s + s - 3*d, -7 = -l*s - d. Suppose -s*c + 4139 = 204. Is c a prime number? True Is (-6)/1 - (-263841 - -11)/14 composite? False Let o(j) be the second derivative of j**4/12 - 7*j**3/6 + 4063*j**2/2 - 111*j. Is o(0) prime? False Let b(h) = -4*h**3 + 24*h**2 + 29*h + 1726. Is b(-35) prime? True Let u be (419 - (0 - 1))/((-30)/(-20)). Suppose l + 2*l - 747 = 0. Let d = u + l. Is d composite? True Let s be (-14)/(-4) + 3/6. Suppose f + 3*r = 4*f - 17253, -5771 = -f - s*r. Is f a prime number? False Suppose 1922571 = 45*p + 118491 + 26625. Is p prime? True Let c = -17345 - -32568. Is c a composite number? True Let w = 325892 - -62207. Is w a prime number? True Suppose 20*u = 30222 + 3218. Suppose -2*c + 3162 = -u. Is c a prime number? True Let k(j) = j**3 + 4*j**2 - 3*j - 9. Let q be k(-4). Suppose -5*b - 5286 = -2*s, 2*s - q*b - 5270 = -2*b. Is s a composite number? False Suppose 2*t = -8*o + 3*o + 772438, -2*t + 2*o + 772438 = 0. Is t composite? False Suppose 3*v = -k + 1721, -4*k - 5*v = 987 - 7899. Is k prime? True Let a = -17135 + 18048. Is a a composite number? True Let x = -2763 - 1385. Let v = x + 6453. Is v a composite number? True Let o = 190 - 186. Suppose o*u - 7*u = -9, 0 = 5*j + 2*u - 23921. Is j a prime number? True Suppose -64*k + 28*k - 41*k = -42017437. Is k composite? True Is 1386/20*602 - (-16)/40 composite? False Suppose 74*r - 71*r = 0. Suppose 3 = 3*p - r*p, 5*p = 5*c. Is ((-25)/(-10) + -3)*(-1501 - c) composite? False Let q be 2/1 + -4 + 4. Let z(j) = 1541*j - 11. Is z(q) a composite number? True Suppose -5*n = -3*n - 2. Let d(z) be the second derivative of 485*z**3/6 - 1575*z. Is d(n) a composite number? True Let c(a) = 117*a + 53. Suppose 4*h = -2*d + 10, 5*d - 7*d + 4*h = -42. Is c(d) a composite number? True Let j(o) = 1966*o**2 + 26*o - 323. Is j(18) a composite number? False Suppose -i + 7 = 2*z, 2*i + 2*z - 14 - 6 = 0. Let m(u) = -u**2 + 14*u - 17. Let g be m(i). Is 1/g + -2938*4/(-32) composite? False Let n be ((-140)/(-8))/(-7)*(-3 - -9). Let j = 118 - n. Is j a composite number? True Suppose -3*f + z = -955100, f - 6*z - 24190 = 294171. Is f a prime number? False Let y(f) = -200*f + 15. Let q be y(-14). Suppose 0 = l + 5*w - 925 - 9, 0 = -3*l - 2*w + q. Is l a prime number? False Let s(h) = h**2 - 9*h - 8. Suppose m - 42 = -4*b, -5*b - 2*m + 30 = -24. Let z be s(b). Suppose j - 3*k + 514 = 5*j, -3*j = z*k - 385. Is j a composite number? False Let x = 72 - 68. Suppose -x*q - 4*h = 0, q - 5*h - 30 = -4*q. Suppose -q*w + 1357 = -764. Is w prime? False Let s(x) = -553*x + 1447715. Is s(0) a prime number? False Suppose 41 = 5*n + 11. Suppose -12*v + n = -9*v. Suppose v*c = -2*c + 136. Is c a composite number? True Suppose -b - 2*w = -1437, 2*w + 2*w + 7241 = 5*b. Suppose -r - d = -5*d - b, d - 5 = 0. Suppose 4*m - r = -m. Is m prime? True Let l(c) = -4*c**2 - c**2 - c**3 - c + 0*c + 3*c**2. Let r be l(-2). Suppose h + 1893 = 4*s + 6*h, -3*s + r*h + 1391 = 0. Is s prime? True Let m be (-10)/(-4)*(-25 + 27). Let b(w) = 30*w**2 - 13*w + 6. Is b(m) a composite number? False Let a be (20023/(-3))/((-70)/210). Suppose -3*j = -x + a, x + 3*j = 7*j + 20021. Is x a prime number? True Suppose 3*j = -0*r - 2*r + 3425, -2*r + 3428 = 4*j. Suppose z = 5*i + r, -3*z - 5*i + 5224 = -0*z. Is z a composite number? False Let x(r) be the first derivative of 3*r - 23 - 1/2*r**2 + 95/3*r**3. Is x(-4) prime? False Let x be (-18)/(-15)*(-50)/(-15). Suppose -10*n - x = -14*n. Suppose 4 = -y - n, -y = 4*z - 2519. Is z a composite number? False Let o be (-48)/(-40)*(-110)/3. Let r be 0 + (-478096)/o + (-4)/(-22). Suppose r = -0*h + 6*h. Is h prime? True Suppose -2*m + 10 = 3*m. Suppose -2*v + 5*s = 0, -v - 5*s - 4*s + 4*s = 0. Suppose v = m*u - 7*u + 335. Is u prime? True Let t(p) = p**3 + 8*p**2 + 2*p + 16. Let k(z) = -7*z**2 + 4*z + 3. Let s be k(-1). Let f be t(s). Is (1 - 0)*(2843 + f) a prime number? True Suppose -38*o = -490*o + 268789484. Is o a composite number? False Suppose 8*z = 19781 - 517. Suppose -405*f - z = -407*f. Suppose 13*v + 125 - f = 0. Is v a prime number? True Let y(o) = 14*o**3 + 2*o**2 + 16*o - 13. Let u = 247 - 239. Is y(u) a prime number? True Let b(z) = -z**3 - 12*z**2 - z + 27. Let d be b(-13). Let f be 1*(d + -4)/5. Suppose 0 = -f*m + 32*m + 5067. Is m a composite number? False Suppose 6*t + t - 209382 = t. Is t prime? True Let f be (((-224)/49)/(-4))/(2/14). Suppose -5*c - 3*v + 4460 = -f*v, -c + 5*v + 880 = 0
{ "pile_set_name": "DM Mathematics" }
sest to 0.3? (a) 0.3 (b) -315 (c) 158 a What is the closest to -91 in 63, 5, -0.5, 6? -0.5 Which is the nearest to 45? (a) -0.3 (b) -0.5 (c) -0.57 a What is the nearest to 1/3 in 16, -2753, -0.1, 2, 1? -0.1 Which is the nearest to -0.02? (a) -2/11 (b) 1 (c) -1.3 (d) 4 (e) 3 a Which is the nearest to 6897/2? (a) 5 (b) 5/6 (c) 0.1 (d) 2/31 a Which is the nearest to -3? (a) -4/31 (b) -3 (c) 0.3 (d) -0.36 b What is the closest to -5483 in 2/7, -1/2, 1, -2/7, -7? -7 What is the nearest to -2/7 in 3/8, -20, 0.3, 7? 0.3 Which is the nearest to -1.5? (a) 4 (b) 0.2 (c) -334 b What is the nearest to 2 in -2, -452, 1, 2? 2 What is the nearest to 0.1 in 0.02, 0.6, -2, 1/195? 0.02 What is the nearest to -9 in 0.04, -50, -5, -83? -5 Which is the nearest to 0? (a) 5/3 (b) -3/2 (c) 0.94 (d) 0 (e) -2 d Which is the nearest to 2? (a) 0 (b) 7 (c) -489 (d) -2/7 (e) -5 a What is the closest to -3 in 22027, -5, 0.5? -5 Which is the nearest to 2/23? (a) 0.2 (b) -6 (c) 0.11 (d) 1/6 (e) -1/5 c Which is the closest to 1? (a) -1 (b) -79 (c) -2/13 (d) 12 (e) -2 c Which is the nearest to 5? (a) -4/5 (b) -0.5 (c) -0.2 (d) 3 (e) -34/9 d What is the closest to -8 in 219.36, -7, -2? -7 What is the closest to -32 in -0.2, 5, -3071, -5? -5 What is the nearest to -0.073 in 5, 0.08, -7? 0.08 What is the nearest to -2 in 1, -3/7, 61, 929? -3/7 Which is the closest to -2? (a) 0.5 (b) -3/4 (c) 1 (d) -1/16796 b What is the nearest to 155 in -5, -0.2, 2/13, 0.1, -3? 2/13 What is the closest to -2 in -5, 0.3, 1/5, 9, 135? 1/5 Which is the closest to -3/2? (a) -2 (b) 0.2 (c) -287 (d) 4 (e) 8 a Which is the nearest to 2/5? (a) 2 (b) 2/33 (c) 0.3 c Which is the nearest to 2/3? (a) 43 (b) 1/6 (c) -2/9 (d) 14 b What is the closest to -0.3 in -791, 1/8, 62? 1/8 Which is the nearest to -3/5? (a) -0.1 (b) 2 (c) 1.2 (d) -5 (e) -25 a Which is the closest to -0.1? (a) 2 (b) -2 (c) -49127 b Which is the nearest to 1.12? (a) 0.3 (b) 5 (c) -14 (d) 4 a What is the closest to -52.9 in 2/11, 4, -2/15, -2/7, 3? -2/7 Which is the closest to 0.3? (a) -5 (b) -16 (c) -18/7 c What is the nearest to 21 in -24, -5, 0? 0 Which is the nearest to -15? (a) 23 (b) 0.5 (c) 57 b Which is the closest to 10/33? (a) 0.03 (b) -1 (c) 0.2 (d) 39 c What is the nearest to 0.1 in 0.5, -3, -19383, -5, 0.3? 0.3 What is the nearest to -1 in 0.1, 7, 1.41? 0.1 What is the closest to -15/7 in -4, -2, 26, -1? -2 Which is the nearest to 0.11? (a) 4 (b) -2 (c) 63 b Which is the closest to -212? (a) 0.4 (b) 1 (c) 3 (d) -4 d Which is the nearest to -2/3? (a) 0.3 (b) 2/274563 (c) -6 b What is the nearest to 92 in -0.4, 0.1, 64/3, 46, 5? 46 Which is the closest to -742? (a) -3 (b) 4.1 (c) -3/8 a Which is the closest to -1? (a) 4 (b) 0.09 (c) -1 (d) -298 (e) -1/5 c Which is the nearest to -1? (a) -1/5 (b) -29/28 (c) 8/5 (d) -0.3 (e) -3/2 b What is the closest to -1/4 in -0.1, 0.2, 851? -0.1 What is the nearest to 3/4 in 2/1521, -0.3, 4, 3? 2/1521 Which is the nearest to -1? (a) 2/3 (b) 9 (c) 7379 a Which is the closest to 0? (a) 4/7 (b) -20 (c) 0.004 (d) 4/5 c Which is the closest to 2/9? (a) 0.3 (b) -3/7 (c) -649 a Which is the nearest to 1/2? (a) 2 (b) -70 (c) 0.5 (d) 4 c Which is the closest to -74325? (a) 2/5 (b) 0 (c) 0.2 b Which is the closest to 0.1? (a) -76 (b) -0.1 (c) -3 (d) 53/38 (e) -1/8 b What is the nearest to 2/21 in 18, 4, -0.3, 25/3, -1/2? -0.3 What is the closest to -3/7 in 1, 0.12, 0.4, -0.015, -0.7? -0.7 What is the closest to 1 in 181, 1/2, 0.4, -13? 1/2 What is the nearest to 0.2 in 5.8, 0.072, -4/3? 0.072 Which is the closest to 2/5? (a) 0 (b) -2/11 (c) 1426/5 (d) -1/7 (e) -0.1 a What is the closest to 1/377 in -2, 4, -26, -3/7? -3/7 Which is the closest to 3/8? (a) 96
{ "pile_set_name": "DM Mathematics" }
4*t - 3*g. What is the highest common divisor of t and 108? 27 Let k(t) = 16*t. Let d be k(6). Suppose -2*p + 1 = -5. Suppose l - 66 = -5*m + p*l, -5*l + 21 = 3*m. What is the greatest common divisor of d and m? 12 Let t = 7 - 19. Let r be (t/(-18))/((-2)/(-9)). What is the highest common factor of 6 and r? 3 Suppose -5*m + 33 + 2 = 0. What is the greatest common divisor of 7 and m? 7 Suppose 12 = -7*k + 5*k. Let a be 0 - 3/(k/68). What is the greatest common divisor of a and 85? 17 Let g = 15 - 10. Let s = -1 + g. Suppose v - 72 = -v. Calculate the greatest common divisor of s and v. 4 Let m = 38 - 71. Let v be m/(-9) + 4/(-6). What is the greatest common divisor of 3 and v? 3 Let a be (-2)/4 - 63/(-6). What is the highest common factor of a and 5? 5 Let g be 5/(-2)*(-2)/(-1). Let d = 15 + g. Let l(b) = 2*b**2 - b - 2. Let r be l(2). What is the greatest common divisor of d and r? 2 Suppose 17*o = -4*o + 42. Calculate the highest common factor of 16 and o. 2 Suppose 7*y = -0*y + 7. Calculate the highest common factor of 5 and y. 1 Suppose 6*h - 2*p = h + 150, -4*p + 36 = 2*h. What is the greatest common factor of 42 and h? 14 Let t = 4 + -4. Suppose t = 3*o - 715 + 205. Suppose 0 = 2*l - o + 20. What is the greatest common divisor of l and 15? 15 Let y be (9/27)/(2/102). What is the highest common factor of 102 and y? 17 Let c be 30*(-3 - -2)/(-1). What is the highest common factor of c and 45? 15 Let b = 42 + -29. Calculate the highest common divisor of b and 117. 13 Let t = 33 + -32. What is the greatest common factor of t and 9? 1 Suppose 141 - 37 = 2*q. Suppose p = i + 129, -i + 30 = p - 101. What is the greatest common divisor of p and q? 26 Let p(n) = 31*n + 3. Let r be p(1). What is the greatest common factor of 136 and r? 34 Let r be 11 + 6/(-3) + 1. What is the greatest common divisor of r and 10? 10 Let m be 1 + 5/((-15)/(-9)). Let u = m + -12. Let z be (-62)/u - (-1)/4. What is the highest common divisor of z and 80? 8 Suppose 2*k - 28 = -0*k. What is the greatest common factor of k and 21? 7 Let y(f) = 10*f**3 + 2*f - 1. Let w be y(1). Calculate the greatest common divisor of w and 33. 11 Let x(h) = h - 7. Let m be x(8). Let a be (8 - 2) + (m - 1). What is the greatest common factor of 48 and a? 6 Suppose k + 4*q - 232 = 0, 0 = 3*k + 4*q - 606 - 58. What is the greatest common divisor of 27 and k? 27 Suppose 0 = -5*z - l + 80, -3*l + 4*l - 65 = -4*z. Let k = z - 3. Suppose -t = 4*u - 61, u - 2*u + k = -3*t. What is the greatest common divisor of 15 and u? 15 Let j be (-3)/(-12) + 11/4. Suppose -4*q + 19 = 3*l, l = -j*q + 17 - 4. Calculate the greatest common factor of q and 20. 4 Let j be (-4)/((2/9)/(-1)). Suppose 2*s - 24 = 8. Suppose 6 = 4*o - 3*f + 2*f, 0 = -5*o - 3*f + s. What is the greatest common divisor of o and j? 2 Suppose -38 = -2*s + 22. Calculate the greatest common factor of s and 12. 6 Let f(u) = u**3 + 8*u**2 + 7*u - 2. Let n be f(-7). Let s be ((-1)/n)/(2/80). Calculate the highest common divisor of 30 and s. 10 Let p be 30/4 - (-2)/(-4). Let x be (p + -1)*(3 - -2). Let w = 185 + -175. Calculate the highest common divisor of x and w. 10 Let v be 10/(-75) - ((-2121)/45 - -3). What is the greatest common divisor of v and 4? 4 Suppose 41 = 2*q + 1. What is the greatest common factor of 2 and q? 2 Let r be 4 + 2/(0 + 2). Let d = -3 + r. Let z be ((-3)/d)/((-3)/8). What is the greatest common divisor of 44 and z? 4 Suppose 4*q - 173 - 15 = 0. Suppose 0*v + 2*v = -42. Let g = v + q. Calculate the highest common factor of 13 and g. 13 Suppose 8*t - 1152 = 4*t. Calculate the greatest common divisor of t and 32. 32 Let w be 4/12*9 + 17. Calculate the highest common factor of 5 and w. 5 Suppose -4*t = -3*t - 9. Calculate the greatest common factor of t and 99. 9 Let c be (-54)/10 + 10/25. Let o be 1/(c/2 - -2). Let k be (24/(-9) + o)*-3. Calculate the highest common factor of 126 and k. 14 Suppose -45 = -4*v - 3*u, -v + 0*v = -3*u - 30. What is the greatest common factor of v and 165? 15 Let k be 0 + 13*(14 + 5). What is the highest common divisor of 13 and k? 13 Suppose 152 = 5*p - 68. Calculate the highest common factor of 66 and p. 22 Let z = 44 + -31. Suppose -c = 4*k - 40, 0*k - 58 = -c + 2*k. Calculate the greatest common divisor of z and c. 13 Let p(g) = -4*g**3 + 26*g**2 - 5*g + 6. Let s be p(6). Calculate the highest common divisor of 32 and s. 16 Let w(h) be the second derivative of -h**3/3 - h**2 - 3*h. Let j be w(-3). Calculate the greatest common factor of j and 20. 4 Let a be (17 + 3)*2/5. Calculate the highest common divisor of 32 and a. 8 Suppose 0 = k - 5 - 3. Let b = 14 - k. What is the greatest common divisor of 9 and b? 3 Suppose 48 = 4*h + 4*j, 2*h - 4*j = h + 27. Calculate the highest common factor of 60 and h. 15 Let j = -44 - -100. What is the highest common divisor of j and 14? 14 Suppose 2*m = -0*m. Let n = 11 + m. Calculate the highest common factor of 121 and n. 11 Suppose 48 = 5*v + 3*h - 11, -4*v - 3*h + 46 = 0. What is the highest common factor of 117 and v? 13 Let x be ((-12)/3 + 35)*11. What is the greatest common factor of 31 and x? 31 Suppose -o = 2*o - 3. Calculate the greatest common divisor of o and 6. 1 Suppose -61 = -4*g - 5*d, -d = g + 2*d - 17. Suppose 4 = 3*s - g. Let o be 8/s*42/4. Calculate the highest common factor of o and 126. 14 Let x be 1/2*0 + (-3 - -18). Calculate the highest common divisor of 30 and x. 15 Suppose -5*z - 48 = 5*f - 8, -23 = 4*f + z. Let k be (-212)/f - (-6)/(-15). Calculate the highest common divisor of 28 and k. 14 Let x = 9 - 6. Suppose 5*l - 4*f - 23 = 2*l, 0 = 3*l +
{ "pile_set_name": "DM Mathematics" }
? -1/3 Let f = -31.3 + 31. Let r = 3880 - 3883. Let a = 3 - 2.8. What is the closest to a in f, r, 4/7? 4/7 Let f = 27 - 19. Let n = -2835 + 2839. Let z be ((-6)/n - -4)*f/(-70). Which is the nearest to z? (a) 0.2 (b) -4 (c) 4 a Let r = -21 + 21.06. Let j = r - -0.14. What is the closest to j in -2/3, -1/5, -1? -1/5 Let q = -0.7 - -0.7. Let g = -0.34 - -0.61. Let f = g + -0.37. Which is the closest to f? (a) -0.6 (b) q (c) 5 b Suppose -6*d - 9*d = 308 - 233. What is the closest to -9 in 4, d, -5/4, 6? d Let r = -89/186 + -2/93. Suppose 3*t + 7 = -w, 3*w - 12 = 6*w. Which is the nearest to t? (a) 0.3 (b) 4 (c) r c Let x = -0.77275 - 0.22725. Which is the closest to 0.4? (a) x (b) 9 (c) -18 a Let r(k) = 5*k**2 - 2*k - 2. Let t be r(2). Let n be (t/21)/((-2)/(12/5)). Let d = 2.06 - 0.06. What is the nearest to -0.1 in n, d, -3? n Let d = -1434 + 1434.42. What is the closest to -1 in d, 0.7, -1/3? -1/3 Let v = 145 + -146. Let a = 3 - -3. Let d = a + -1. What is the nearest to -1 in d, -5, v? v Suppose r - 1 = 2*t, -t - 5 = -4*r + 13. Let l(m) = m**3 - m**2 + m + 6. Let z be l(3). Suppose z = -14*j - 15. What is the closest to -0.1 in -2/7, j, r? -2/7 Let q = 5590 + -5207. What is the nearest to 2/5 in q, -1/7, -3, -4? -1/7 Let v = 74 + -74. Let w = 39 - 30. Let g = w + -8. What is the closest to -1 in g, v, 0.5? v Let t be (2/5)/((-9)/5). Let v be ((14 - -5) + -10 + -13)*(-3)/(-12). Which is the nearest to t? (a) v (b) 4 (c) 0.03 c Let m be (-2322)/473 - 40/(-44). Which is the nearest to -0.1? (a) 0.8 (b) 4 (c) m (d) 6 a Let m = -4.1425 + 0.1425. What is the nearest to -21/43 in m, 2/17, -0.4, 2/9? -0.4 Let u = -11325/4 + 2831. What is the closest to -2 in 0.3, -0.2, u? u Let b = -9.3 + 74.3. Let v = 23 - b. Let c = v - -42. What is the nearest to 4 in c, 3/8, -0.3? 3/8 Let k = 27.1 - 27. Let d = -1253 - -1258. Which is the nearest to -0.1? (a) d (b) 31 (c) k c Let f = -1/4475 - 4469/26850. Which is the closest to 8? (a) f (b) 2/13 (c) -2 b Let u = 23/19 + 48/133. Let r = u - 41/35. Let i be -4 - (-172)/28 - 2. Which is the closest to r? (a) i (b) 5 (c) 1 a Let c = -17.85 - -15.85. What is the nearest to -4 in c, 13, -0.3? c Let h = 146 - 202.7. Let k = -57 - h. Which is the nearest to 0.2? (a) k (b) 9/7 (c) 0.2 c Let d(t) = -3*t + 37. Let n be d(9). Suppose -n = 11*j + 34. Let s = -0.99 + -0.01. Which is the nearest to 0? (a) -3 (b) j (c) s c Let f = 60197 - 10955729/182. Let u = 3/26 - f. What is the nearest to -5 in 0.1, -4, u? -4 Let y be 3*2/4*116/(-3). Let k = y + 57. Let w be (k/2)/(-3*(-2)/(-6)). Which is the nearest to -1/5? (a) 5 (b) 0.1 (c) w b Let m = -245 - -248. Let r be (-9 + m)*(5 - 7)/4. What is the closest to -5 in r, 4, -1? -1 Suppose -5*v = -0 + 5. Let n be 2/6 + 1/(-3) + (-464)/464. What is the closest to n in 1, v, 2? v Let q be ((-4)/16)/((81/36)/(-9)). Let u = -102/319 + 4/29. What is the nearest to 1/3 in -2/45, u, q? -2/45 Let z be (-105)/40 + (6/(-4))/(5/(-10)). Which is the closest to 0.6? (a) z (b) -1/7 (c) 5 (d) 1/4 a Let z be (-8)/(-30) + 32/60 + (-112)/280. Which is the nearest to 1/2? (a) 0.1 (b) -7/5 (c) z (d) -3 c Let r be (-10)/3 - (-3)/9. Let x be ((-3117)/2)/(-1*210/80). Let h = x + -594. Which is the closest to -3/5? (a) -1 (b) h (c) r b Let v be (-6 - 128/(-21))*(-1)/((-30)/(-70)). What is the nearest to -2/7 in -4, 2/9, -1/3, v? -1/3 Let q be 12/54 + 22*2/99. What is the closest to 0 in -28, q, 0.2? 0.2 Let l = 7284.04 + -7284. Which is the nearest to 0.4? (a) -2/15 (b) -7 (c) 0.08 (d) l c Suppose 3*z - 29 + 11 = 0. Let u be 3/z*-4 + (-120)/(-63). What is the nearest to -0.2 in 18, u, 5? u Suppose 3*t - 4*t + 169 = 2*q, 2*t + 5*q - 337 = 0. Let k = t - 685/4. Which is the nearest to 0.4? (a) 0.5 (b) 2 (c) k a Let d = 335.8 - 335.569. Which is the nearest to -0.2? (a) d (b) 2/3 (c) -1/8 c Let s = 534/5 - 107. Let v = -5 + 5. Which is the closest to 3? (a) -0.12 (b) v (c) s b Let v(t) = 2*t + 3. Let k be v(-3). Let c = 2091/3773 + -3/343. Let u be 203/(-29) - (-9)/(-8) - -8. What is the closest to k in c, u, 0? u Let g be ((583/(-154))/(-53))/(1/2). Which is the closest to -5? (
{ "pile_set_name": "DM Mathematics" }
orm c*t + h and give h. 3 Express -348 + 120 + 104 + 106 + 50*l in the form q*l + f and give q. 50 Rearrange -1155 + z - 88*z**4 - 3*z - z**3 + 27*z**4 + 1156 to the form u*z**4 + h + a*z + x*z**3 + k*z**2 and give u. -61 Rearrange (2 - 2 + q + (5 - 4 + 0)*(4 - q - 4) - 55 - 49*q + 55)*(-4 + 0 + 2) to a*q + p and give a. 98 Express 2*z**2 + 15*z + 1 + 28*z**3 + 3*z**3 - 30*z**3 in the form a*z**2 + y*z + v + n*z**3 and give y. 15 Rearrange (n - 3*n + 4*n)*(-6*n + 2*n + 3*n) + (-n + 6*n - 2*n)*(-6 - n + 6) + 4*n**2 - 10*n**2 - 7*n**2 to c + b*n + a*n**2 and give c. 0 Rearrange -839*q**4 - 3959 + 3959 + (-2 - 2*q**2 + 2)*(2 - 2 - 2*q**2) + (-3 + 4 - 3)*(-q**4 + 3*q**4 - q**4) to p*q**2 + o*q + h + g*q**3 + s*q**4 and give s. -837 Express (-4 + 53 + 5)*(-2*r - r + 5*r) + (-2 - 4 + 4)*(-r + r - r) + 0*r - 4*r + 6*r as b + g*r and give g. 112 Express 45 - 38 - 11 - 20 - 8*t in the form x*t + s and give x. -8 Express (-1 - 1 + 4 - 3)*(-p**4 - 2*p**4 + 4*p**4) in the form z + s*p**3 + t*p + l*p**4 + g*p**2 and give l. -1 Express (3*y - y**2 - 3*y)*(-33*y + 71*y - 36*y) - 3*y**3 + 3*y**3 - 2*y**3 in the form m*y + q*y**3 + f + u*y**2 and give q. -4 Rearrange 2*p**2 + 0*p**2 + p**2 + (-2*p**2 + 2*p**2 + p**2)*(-2 + 4 - 3) + 13*p**2 - 7*p**2 + 26*p**2 to the form u*p + o*p**2 + g and give g. 0 Rearrange 279*z**4 - 137*z**4 + 6*z - 140*z**4 - 8*z**2 to the form r*z**2 + w + h*z + f*z**3 + q*z**4 and give w. 0 Express -15743 + 16*s**3 + 15743 - s - 2*s**2 as r*s + j*s**2 + b*s**3 + t and give r. -1 Express 26 - 13 - 38*u**2 - 13 in the form o + y*u + t*u**2 and give t. -38 Rearrange (3 - 3 - f)*(63*f - 2608 + 2608)*(0 + 3*f**2 + 0) to the form x*f**3 + w*f**2 + r + z*f**4 + j*f and give z. -189 Rearrange -2*f**2 - f + f + (0*f - 3*f + f)*(0*f + 4*f - 3*f) - 177652*f - 376*f**2 + 177652*f + f**2 - f**2 + 2*f**2 to the form l + d*f**2 + h*f and give d. -378 Express (-752 + 381 + 374 - 20*a**2)*(3*a**2 - a**2 - 11*a**2) in the form j*a**2 + k*a**3 + x*a**4 + h*a + b and give j. -27 Rearrange 6*n + 39*n - 9*n + 13*n to u*n + o and give u. 49 Express 5 + 17*c**2 + 5*c**2 - 65 - 16*c**2 in the form m*c**2 + k*c + q and give q. -60 Rearrange -298*b + 87*b - 184*b to i + o*b and give o. -395 Rearrange -145487 + 145487 - 661*n**2 to a + i*n + h*n**2 and give h. -661 Rearrange -130*s**2 - s + 11955 - 11955 - s**2 + 2*s**2 - 3*s**2 + (0*s + s - 3*s)*(0*s + 0*s + s) - s**2 + s**2 + 2*s**2 to y*s + k*s**2 + h and give k. -132 Rearrange -11 + 33 - 19 + 51*a**2 - 380*a**2 to the form p*a + q*a**2 + z and give q. -329 Rearrange -31*u**3 + 9 + 8 - 2 - 13 + 4*u to x*u + h*u**2 + y*u**3 + i and give x. 4 Rearrange -7*z - 4 + z**2 - 7*z + 15*z + 18 to m*z**2 + l + s*z and give m. 1 Rearrange -4 - 3*c + 4 + 2 - 176*c**2 - 176*c**2 + 355*c**2 + 4*c**4 + c**3 to the form g*c + l*c**4 + x + o*c**3 + v*c**2 and give v. 3 Rearrange 4*q**2 - q**2 - 1539*q**3 + 1538*q**3 + q**4 - 2*q to the form z + n*q**3 + g*q + i*q**4 + r*q**2 and give r. 3 Express (5*r + 6*r + 0*r)*(12 + 1 + 22) in the form p + m*r and give m. 385 Rearrange -4 + 4 + 27*q**3 + 7*q - 4*q**3 + 0*q**3 - 1 to w + s*q + k*q**3 + y*q**2 and give k. 23 Express -j**3 + 2*j**2 - 83*j + 59*j - 2*j**2 - 8*j in the form q + b*j**2 + l*j**3 + u*j and give l. -1 Express 5 - 33*t - 36*t + 64*t as m + z*t and give m. 5 Express (9 - 5 - a - 7 + a**2)*(24*a + 8*a + 3*a) as f*a**3 + j*a**2 + w*a + i and give f. 35 Rearrange (3*y**2 - 8*y**2 - y**2)*(2 + 1 - 8)*(-9 + 4 - 10 - 5) to z + x*y + n*y**2 and give n. -600 Rearrange 153 + 126 - 279 - 60*w**2 to r + j*w + b*w**2 and give b. -60 Rearrange h + 2*h - h + (-1 + 0 + 3)*(-3*h - 2*h + 3*h) + 99064 - 1102*h - 99063 - 1092*h to a*h + q and give a. -2196 Rearrange 21*m - 18*m + 39*m**2 - m**3 - 2*m**2 + 3*m**3 to the form a*m**2 + y + u*m + t*m**3 and give y. 0 Express (5 - 5 - 3*o**2)*(-126 + 99 - 121 - 226) in the form h + m*o + p*o**2 and give p. 1122 Express -3*w**2 - 5*w - w + 12*w**3 - 16*w**3 + 0*w**2 as m*w**3 + u*w + z + g*w**2 and give m. -4 Rearrange 5 + 14*o**4 +
{ "pile_set_name": "DM Mathematics" }
- -246. Let w = g + -737/7. What is the second smallest value in w, 3, l? l Let m = 7 + -3. Suppose -87 = -10*q - 4*q + 11. Let f = 7/8 + -3/8. Which is the third smallest value? (a) f (b) m (c) 2/11 (d) q b Let u be 204*((-511)/(-420) + (-20)/12). Let n = u - -92. Which is the third smallest value? (a) -8 (b) -0.1 (c) n c Let d = -5555.2 + 5555. Which is the third biggest value? (a) d (b) -1.54 (c) -4/5 b Let w = -2038.3 + 2038. Which is the second smallest value? (a) 19/13 (b) 3/4 (c) w b Let t = 204 - 324. Let p = -121 - t. What is the second biggest value in -4, 0.4, 3, p? 0.4 Let h be 20/52*((-12)/5 + 2). What is the biggest value in 5/19, h, -2? 5/19 Let x = 2.2 + -2. Let i = 321566 + -321565. Which is the second biggest value? (a) 6 (b) -3/2 (c) x (d) i d Let r = 0.2493 - 0.5493. Which is the biggest value? (a) r (b) 3 (c) -0.68 b Let h be (-2 - -2) + (-120)/400. Let t = -3.6 + 9. Let z = t + -0.4. What is the second smallest value in -2/11, z, h? -2/11 Suppose -4*i + 42 + 18 = 3*y, i + 4*y - 15 = 0. Suppose 2*n - 14*t + 13 = -i*t, t = 5*n + 15. What is the third biggest value in 56, 4, n, 0.4? 0.4 Suppose 0*i + 36 = 18*i. Suppose 5*k - k = 4*v, v - i*k - 3 = 0. Which is the third smallest value? (a) -1/4 (b) 4/7 (c) v b Let x = -246.1 - -250.1. What is the third biggest value in 1, x, -3? -3 Let u = 2.35 - 5.35. Which is the third smallest value? (a) -653 (b) -4 (c) u (d) -1/4 c Let x = -214 - -110.5. Let m = -103 - x. Let f = -15/2 - -9. What is the third smallest value in -2/9, f, 0.05, m? m Let h be 6/3*(1 - 2). Let l = -37515/4 + 9379. Let p = -6.4 - -6. Which is the fourth biggest value? (a) p (b) h (c) l (d) 4/5 b Let d = 229 + -321. Let w = -90 - d. Which is the third smallest value? (a) w (b) -0.1 (c) 5/4 a Let u = -0.0242 + -56.5758. Let n = u + 57. Which is the second smallest value? (a) -0.06 (b) 1.3 (c) n c Let i = -314 - -304. Let g be -2*(1 - (-9)/i). Which is the second biggest value? (a) g (b) -2 (c) -5 b Let u(f) = -2*f**3 - 4*f - 3 - 1 + 0*f**3 + 0. Let n be u(-1). What is the smallest value in -2/9, n, -36? -36 Let b = 2.0971 - 1.7971. What is the third smallest value in -2/7, 7/2, b, -40? b Suppose 0 = 2*z + 8, 0 = -0*r - 4*r + z - 16. Which is the second biggest value? (a) 53 (b) -0.6 (c) r b Let x(p) = -p**3 - 27*p**2 + 66*p + 233. Let i be x(-29). Which is the biggest value? (a) -0.5 (b) 4 (c) 2 (d) i (e) -2 b Let f = 0.056 + -0.356. Suppose 454*w - 105 = 433*w. What is the second smallest value in -2/5, -7, w, f? -2/5 Let n = -0.1 - -0.2. Let q = 6459 + -6453. What is the fourth biggest value in -1/2, 2/11, q, n? -1/2 Let s = -376 + 717/2. What is the second biggest value in 2, -1/2, s? -1/2 Let a = -497.3 - -502.3. What is the smallest value in a, 29, -0.34? -0.34 Suppose 2*p = -0*p. Let w = -1.9 + -2.1. Let z be (-22)/46*86/(-473). What is the third biggest value in p, 1, w, z? p Let y = 11 - 21. Let k = -15 - y. Let z = 3.0464 - 2.0464. Which is the second biggest value? (a) k (b) z (c) 0 c Let a = 5.4138 - 0.4138. What is the smallest value in 0.085, a, 0.3? 0.085 Let t = -3297 - -16484/5. Let n be (15/10)/((-6)/(-223)). Let s = n + -56. What is the fourth smallest value in -3/2, s, t, 5? 5 Let h be 1/35 + 4/10. Let d(i) = -3*i + 115. Let n(k) = -k + 117. Let c(j) = -4*d(j) + 5*n(j). Let w be c(-18). What is the second smallest value in -4, w, h? w Let o = -865/147 - -25/147. What is the third smallest value in o, 1/2, 2/9? 1/2 Let d = 298 - 661. Let n = 361 + d. Which is the biggest value? (a) n (b) -212 (c) 0 c Let x = -10996 + 10998. Which is the third smallest value? (a) -7 (b) x (c) 2/19 (d) -5 (e) 14 c Let m = -1 - -0.5. Let t be 12 - ((-85312)/(-6336) - (-28)/(-18)). What is the biggest value in 1/2, t, -5/2, m? 1/2 Let r = 1342 - 1340.8. Suppose j + 3*h = 18, -4*j = -h + 2*h - 28. Suppose 0 = 4*g - j*g - 6. What is the third biggest value in 0.5, r, g, -5? g Suppose 0 = -5*y - 4*m - 19, 0 = 5*y - 2*m - 7 + 20. Which is the second smallest value? (a) y (b) 0.5 (c) -4/5 c Suppose -5005 = -97*f + 84*f. Let y = 1157/3 - f. What is the fourth smallest value in y, 1, 0.3, 1/5? 1 Let t be (-27)/(-40) + (-96)/120. Let d(m) = -17*m - 44. Let h be d(-3). Which is the third biggest value? (a) -3 (b) h (c) t a Let b(w) = -2*w**2 + 10*w + 45. Let d be b(7). What is the second biggest value in -1/4, -0.4, d, -11? -1/4 Suppose -
{ "pile_set_name": "DM Mathematics" }
7. Let h = l + m. Which is the nearest to -2? (a) h (b) -0.3 (c) -2/5 c Let q be ((-6)/8)/(16/(-2048)). Let u be 4/(-2) - q/(-56). Which is the nearest to -16? (a) -0.4 (b) u (c) -3 c Let q(r) = r - 1. Let l be q(5). Let u = 0.4 + 2.6. Let g = -63.07 - -60.07. Which is the nearest to u? (a) 2/5 (b) g (c) l c Let p be 1*(0 + -7) + 0. Let g be ((-476)/(-16))/p - -4. Which is the nearest to g? (a) -0.5 (b) -12 (c) -2 a Let o = 455.7 - 481.7. What is the closest to o in 0.2, -2, -1/12? -2 Let s be (-448)/336*(-3)/(-4). Which is the closest to s? (a) -0.1 (b) -44 (c) 0.4 a Let u = 79 - 391/5. Let l = -3.183 + -1.817. What is the nearest to -0.2 in l, u, 2/5? 2/5 Let t be 6/20*4/6. Suppose 43*a - 376 = -72*a + 199. What is the closest to 1 in a, t, 0? t Suppose 5*n = -m - 25 - 14, 4*m + n + 42 = 0. What is the closest to 0 in 24, 0.5, m, 4? 0.5 Let k = -53485/80232 + -1/26744. Suppose 4*v - 41 = -9. What is the nearest to 0.3 in v, -5, -3, k? k Suppose -4*p = -3*g - g - 8, 2*g = -4. Suppose -170*t + 166*t = 3*o - 25, 0 = -3*o - 2*t + 5. Which is the closest to -0.4? (a) o (b) p (c) 7 b Let j be -1*(-8)/(-20)*70/154. Let r be (-2)/(-6) + (-8)/(-3). Which is the closest to 3? (a) r (b) j (c) 1/4 a Let w = 39983 - 39944. What is the closest to 0.1 in w, -3/5, -5? -3/5 Let g be 3 + 14/10 - 4. Let u = 90 + -31. Let m = -52 + u. Which is the nearest to -2/3? (a) g (b) -2/7 (c) m b Let h be ((-3)/27)/((-3)/(-9)). Let t = -105172/9 + 11686. Let x = 1 + -4. Which is the closest to 0.3? (a) t (b) x (c) h a Let c = -27605 - -27606. What is the closest to -16 in c, -5, -2/5, -2.2? -5 Let r = 4.1728 - 0.1728. Which is the nearest to 1? (a) 1/8 (b) r (c) -9 a Let u = -1.9 - -2. Let q = -5272 + 5267. Which is the nearest to u? (a) -2/11 (b) 44 (c) q a Let g = 0.97 + -0.97. Let o be 2*((-12)/(-3) - 18). Let v = -30 - o. Which is the closest to v? (a) 2/17 (b) g (c) -3/5 c Let s = 317.684 - 318. Let o = s + -0.084. Which is the closest to -5/4? (a) 1 (b) o (c) -0.5 c Let t = -0.8774 + -2.1226. Which is the nearest to 0? (a) t (b) 2 (c) 98 (d) 1/5 d Let y = 79377 - 79376.7. Let q = 11.13 - 0.13. Which is the nearest to q? (a) -2/9 (b) -2/13 (c) 0.1 (d) y d Let n be ((-2)/(-8))/((-46)/((-14352)/(-117))). Let t be (-1)/1 - (-10)/12. What is the closest to n in -1/4, 0, t? -1/4 Let x = -151 - -1663/11. Let d = 974419 + -974419. Let m = 7.4 + -7. Which is the nearest to d? (a) x (b) -0.2 (c) m a Suppose 3*k = -k. Let s be 7 + -12 + 7 + 8/(-2). Let j = -5/9 + -7/36. What is the closest to k in s, j, -1? j Let n = -61 + 28. Let h = 5.34 - -25.66. Let z = h + n. What is the nearest to z in 7, -5, 3/2? -5 Let u = -3672 - -3672.19. Let p = 23 - 21. What is the closest to -1 in 7, p, u? u Let t = 16/75 + -2/25. Let y = t + 8/165. What is the closest to -1 in y, 5, -9? y Let g = -2/3417 - 10241/17085. What is the closest to -52 in -2/3, g, -0.4? -2/3 Let t be (3/(-18))/(-1)*1. Let l = -13.94 - -16.1. Let w = l + -5.16. Which is the nearest to w? (a) -4 (b) t (c) -5 a Let r = 9123 - 9122.6. Let l be -2 - 4/(-28)*13. Which is the closest to 6? (a) r (b) 2 (c) l b Let w = -19282 + 19277. What is the nearest to 0.1 in 4, w, -30.3? 4 Let i = 267 - 270.35. Let v = i - -3.15. Which is the closest to 26? (a) -1/9 (b) 3 (c) v b Let j = 0.335 + -0.335. Let h be 3/((-6)/(-4))*(2 - 0). What is the nearest to j in 1, h, -11? 1 Let f = 3/14 - 13/28. Let r = 8/15 - 1/30. Let j = 55991 + -55994. Which is the nearest to f? (a) -0.3 (b) j (c) r a Let x = -232 + 139. Let u = x + 92.96. What is the nearest to -0.5 in -3/4, u, -1/3? -1/3 Suppose -9*j - 78*j = -383 + 35. Let q be 1 + -1*(5 - 1). Which is the closest to 1? (a) 0 (b) -0.4 (c) j (d) q a Suppose 5908 + 2144 = 121*r - 2475. What is the closest to 0.1 in r, -12, 2/11? 2/11 Let i = 2380 + -40458/17. Let y = -8 - -3. Suppose 5*r + 2*m + 1 + 0 = 0, 3*m = 3*r + 9. Which is the closest to 2/7? (a) r (b) i (c) y b Let w(j) = -j**3 - 7*j**2 - 6*j + 3. Let n be w(-6). Let v = 74 - 98. Let x be (-16)/v*(-3)/6. What is the closest to x in -3/2, 1, n? -3/2 Suppose -183*z + 186*z = 15. Let c be 27/(-6)*(-10)/15. Let n = 8/9 + -23/36.
{ "pile_set_name": "DM Mathematics" }
-17101040*s**2 + 24199*s - 58. -34202080 Differentiate 109177*f*t*u + 77*f*u**2 - 1917*t*u - 2*t + 822*u**2 wrt f. 109177*t*u + 77*u**2 What is the derivative of 5276425*p**4 + 12895620? 21105700*p**3 Find the third derivative of 2*q**4*s + 11767522*q**3*s + 2*q**2*s - 13083880*q**2 wrt q. 48*q*s + 70605132*s What is the derivative of 3*f**3*w - 552*f**3 + 12*f**2 + 60385*f*w**2 - 5*f*w - 1102 wrt w? 3*f**3 + 120770*f*w - 5*f Find the first derivative of -8731073*r**3 - 46035043 wrt r. -26193219*r**2 Find the third derivative of 258432474*p**4 + 4*p**2 - 1098*p - 3231 wrt p. 6202379376*p What is the second derivative of -120907859*a**2 - 118702602*a wrt a? -241815718 Differentiate -104166566*n + 33065853. -104166566 Find the third derivative of 3306805*m**3 + 15*m**2 - 224761*m - 2 wrt m. 19840830 Find the second derivative of -2*t**5 + 265952597*t**3 + 395364042*t. -40*t**3 + 1595715582*t Find the third derivative of 72114448*o**3 + 807*o**2 - 918*o + 20 wrt o. 432686688 What is the third derivative of 535683*m**4 - m**3 + 4*m**2 - 883*m + 147? 12856392*m - 6 Find the third derivative of 28506995*r*y**3 - 6*r*y**2 - 119547*y**2 wrt y. 171041970*r Differentiate 65692790*w**3 - 74595970. 197078370*w**2 What is the third derivative of 11961973*j**3 - 87323284*j**2? 71771838 What is the third derivative of 13661178*h**6 - 2*h**4*y**2 - h**2*y**2 + 54*h**2 + h*y + 3*h - 418*y + 3 wrt h? 1639341360*h**3 - 48*h*y**2 What is the first derivative of -77*u*z**2 + 53247*u*z - 86659194*u - 2*z**2 wrt z? -154*u*z + 53247*u - 4*z What is the first derivative of -420211410*j - 265383474 wrt j? -420211410 What is the third derivative of 783958*w**4 - 9*w**3 - 2*w**2 - w - 6589008 wrt w? 18814992*w - 54 What is the second derivative of 2*p**5 + 458*p**4 + 494*p**2 - 9286*p + 271? 40*p**3 + 5496*p**2 + 988 Differentiate -25480*q**2 + 1301*q - 300035355 with respect to q. -50960*q + 1301 Find the third derivative of d*l*p**3 - 2487064*d*l - 6*d*p**3 - 7*l*p**3 + 33*p**3 + p**2 wrt p. 6*d*l - 36*d - 42*l + 198 Find the third derivative of 179909616*s**6 + 130*s**2 + 8528*s - 8 wrt s. 21589153920*s**3 What is the second derivative of 1105039*p**5*z - 1026*p*z + 15423*z + 2 wrt p? 22100780*p**3*z What is the third derivative of 83819*n**5*o + 60*n**3*s**2 - 35*n**2*o - 2849*n*o*s - 25*s**2 wrt n? 5029140*n**2*o + 360*s**2 What is the second derivative of 58*p**3*t**3 - 55851*p**2*t**3 - 2*p*t**2 - 3*t**3 + 68*t**2 - 30*t + 2 wrt p? 348*p*t**3 - 111702*t**3 Differentiate 2019602*y - 1895089 with respect to y. 2019602 What is the second derivative of j*k**3 + 7226*j*k**2 + 21*j*k - 2*j - 21293*k**3 + 73*k - 189 wrt k? 6*j*k + 14452*j - 127758*k What is the second derivative of 31*h**2*s**2*u + 640*h**2*s*u - 10*h**2*u + 57*h*s**2 + 24*h*s - h*u - 4*h - 14*u wrt h? 62*s**2*u + 1280*s*u - 20*u Find the second derivative of 67716962*m**5 - 28516530*m. 1354339240*m**3 What is the second derivative of -25625*i**3 - 395*i**2 - 114*i - 51614 wrt i? -153750*i - 790 What is the second derivative of -1776*s*w*z**2 + s*w*z - 34372*w**2*z**2 - w**2*z - w**2 + 6858990*w wrt z? -3552*s*w - 68744*w**2 What is the third derivative of -27160559*f**4 + f**3*v**2 + 20*f**2*v**2 + 6720938*v wrt f? -651853416*f + 6*v**2 Find the third derivative of -657206577*f**3 - 1056111126*f**2 wrt f. -3943239462 Find the third derivative of 443*f**6 - 8148*f**3 + 30710960*f**2 wrt f. 53160*f**3 - 48888 Find the third derivative of 387*k**2*n**3 + 11*k**2*n - 5491*k*n**3 + 2*k*n - 39809*k - 2*n**3 - n**2 wrt n. 2322*k**2 - 32946*k - 12 Find the third derivative of -822*i**6 - 2*i**4 + 36917*i**3 - 9656*i**2 - 40*i + 31 wrt i. -98640*i**3 - 48*i + 221502 What is the first derivative of -222*c**3*i**2 - 117*c*i**2 - 24*c - 106514*i**2 + 158 wrt c? -666*c**2*i**2 - 117*i**2 - 24 What is the second derivative of 36*o**2*s**3 - 83*o**2*s**2 + 4*o**2*s + 120*o**2 + 28*o*s**3 - o*s**2 + 2*o + 1050*s**3 - 9*s**2 wrt o? 72*s**3 - 166*s**2 + 8*s + 240 What is the third derivative of 10441888*s**4 + 17083885*s**2? 250605312*s Find the third derivative of -13*q**4 - 6574605*q**3 - 863022571*q**2 + q wrt q. -312*q - 39447630 Differentiate 18695429*f*u - 71*u - 17283 with respect to f. 18695429*u What is the second derivative of 2*h**2*i**2*j**2 + 4766*h**2*j**2 - 26*h**2 + h*j + 274367*i**2 + 905*j**2 wrt j? 4*h**2*i**2 + 9532*h**2 + 1810 What is the derivative of -
{ "pile_set_name": "DM Mathematics" }
assuming q is positive. q**(179/11) Simplify (v/(v/(v*v**(-38)))*v)/(v/(v*v**(-14)*v)) assuming v is positive. v**(-49) Simplify ((f/(f**(-1/9)/f))/f**9)**(2/9) assuming f is positive. f**(-124/81) Simplify (i*i**(-1/14))/(i/i**2)*(i**(-1))**(-34) assuming i is positive. i**(503/14) Simplify (q/q**(-3))/(q/q**(2/17))*(q**(-1/2))**(5/4) assuming q is positive. q**(339/136) Simplify g**(-5)*g**13 assuming g is positive. g**8 Simplify (v**0/(v/(v/(v**1*v))))/(v**(-2)/(v*v**(-1/3))) assuming v is positive. v**(2/3) Simplify (z*z**(-5/2))/z**8*z**8*z/(z**(1/6)*z) assuming z is positive. z**(-5/3) Simplify (g**(-2/9)/(g**(1/7)/g))**(-6/11) assuming g is positive. g**(-80/231) Simplify q**3*q*q**(-6/11) assuming q is positive. q**(38/11) Simplify (b*b**1)**(-31)/((b**4*b)/((b*b**5*b*b)/b)) assuming b is positive. b**(-60) Simplify ((k/(((k/((k*k/k**(-5))/k*k)*k)/k)/k))/k)/(k*k/k**17) assuming k is positive. k**22 Simplify (p**(1/7)*p)**20 assuming p is positive. p**(160/7) Simplify (c*c*c/(c/(c*c/(c/((c/c**(1/10))/c))))*c**(3/2))**(-8/7) assuming c is positive. c**(-176/35) Simplify v*v**(-7/6)*v*(v*v*v**(2/73)*v)/v assuming v is positive. v**(1253/438) Simplify (f*f**(-4)*f**1)/(f**(-2/3))**(-2/27) assuming f is positive. f**(-166/81) Simplify (m/m**0)**27/(m/(m**2*m)*m*m/m**3*m) assuming m is positive. m**29 Simplify ((f*f*f**(3/4)*f*f)/f*(f/f**(-4/7)*f)/f)/(f**(2/13)/f**(-3)) assuming f is positive. f**(789/364) Simplify i*i**3*i*(i*i**(1/7)*i)/i*i*((i/(i**0*i))/i*i)**(-41) assuming i is positive. i**(50/7) Simplify (n**2*(n*n/(n*n*n/(n**1/n)*n*n))/n)/(n**7*n/n**(-3)*n) assuming n is positive. n**(-14) Simplify ((z**(-1/3)*z)**13)**(-12/5) assuming z is positive. z**(-104/5) Simplify (o/(o*o**7))/((o/o**(-6/7)*o)/o) assuming o is positive. o**(-62/7) Simplify x**8*x**(-2/7)*(x/(x**2/x))**(-9/8) assuming x is positive. x**(54/7) Simplify (g*g*g**8)**(-18) assuming g is positive. g**(-180) Simplify ((i**(-2/5))**(-9/4))**26 assuming i is positive. i**(117/5) Simplify ((q**(-1/5)*q)/q**(-5))/(((q/(q*q*q**(3/5)))/q)/(q**6/q)) assuming q is positive. q**(67/5) Simplify p**(-1/6)/(p/(p/(p/p**(-2))*p))*(p/p**(5/2))/(p**(-1/8)*p*p) assuming p is positive. p**(-133/24) Simplify (n**1/(n*n*n**(-6)/n))/(n/(n**(1/11)*n)*n/n**(-2)) assuming n is positive. n**(34/11) Simplify ((u**(-5)*u)/((u/u**(-2/9)*u)/u*u))**(-18) assuming u is positive. u**112 Simplify (g**(-8)/g*g**8)**20 assuming g is positive. g**(-20) Simplify (v*(v/(v/v**(-2/15)*v))/v*v)/(v/(v/(v*v**(-2/9))))*(v/(v*v**1))**(-6/5) assuming v is positive. v**(13/45) Simplify (w*w*w/w**2*w*w)**49 assuming w is positive. w**147 Simplify ((x**(-1))**(-26/3))**46 assuming x is positive. x**(1196/3) Simplify ((q**(1/4))**39)**(-22) assuming q is positive. q**(-429/2) Simplify r**(2/11)*r**(-2)*r*r*r**(1/7)*r**4 assuming r is positive. r**(333/77) Simplify (d**(-4/11)/d**(-9))**42 assuming d is positive. d**(3990/11) Simplify l/(l**(-17)/l)*l*l*l*l*l*l**15 assuming l is positive. l**39 Simplify (m**(2/7)*m)**(-2/3)/(m*m**(1/3)*m/((((m*m*m**(-1)*m)/m)/m)/m)*m*m) assuming m is positive. m**(-130/21) Simplify (s**(-4/13)*s)/s**(-2) assuming s is positive. s**(35/13) Simplify (x**(2/5)*x*x)**(-34/7)/(x*x*x**1)**(-13) assuming x is positive. x**(957/35) Simplify (g/(g*g**13)*g*g*g**(-2/15)*g)**29 assuming g is positive. g**(-4408/15) Simplify (h**0)**(-3/19)*h**(-1/2)*h**0 assuming h is positive. 1/sqrt(h) Simplify (h/(h/((h/(h*h**(-3)*h))/h*h)*h)*h)/(h**(-1/9)/h) assuming h is positive. h**(28/9) Simplify (h/(h*h**15*h))**(-6/5) assuming h is positive. h**(96/5) Simplify (((y**0/y)/y)**(-21))**(-20) assuming y is positive. y**(-840) Simplify (n*n*n**(1/4)*n)**(4/25)/(n**(-3/5)/(n/(n/(n*n**(-1/2)*n)))) assuming n is positive. n**(131/50) Simplify d**(-4)/d**(1/6)*(d*d**(-2/21))/d*d**(2/9)/d*d*d*d assuming d is positive. d**(-257/126) Simplify (l**33/l)/(l*l/(l*l**1)) assuming l is positive. l**32 Simplify (v**(-1)/v)**37*(v/(v*v*v/(v/(v*v*v**(-10)))))/((v*v/v**4)/v) assuming v is positive. v**(-64) Simplify l/l**0*l/(l*l**(-3/2))*l assuming l is positive. l**(7/2) Simplify (((y/((y/(y*(y**(-3)/y*y)/y*y))/y))/y)/((((y**(-5)/y)/y)/y*y)/y))**16 assuming y is positive. y**96 Simplify (b**(6/7)/b*b**(7/4))/((b**(-8)*b)/(((b*b*b**(-1/6)*b)/b)/b)) assuming b is positive. b**(793/84) Simplify (p**(-1/2)*p)**(6/11) assuming p is positive. p**(3/11) Simplify (((g*g**24*g)/g)/g)**(-8/3) assuming g is positive. g**(-64) Simplify (o/(o*(o*o*o*(o/(o/(o/o**20)))/o)/o))/(o/o**(2/9)) assuming o is positive. o**(155/9) Simplify (r**(-1/13)/r**(2/7))**(2/21) assuming
{ "pile_set_name": "DM Mathematics" }
6. Let a be o(v). Let k = -30 + a. Let w(c) = c**3 + 2*c**2 - 2*c + 2. What is w(k)? -1 Let h(d) = -2*d - 5. Let f be 17/6 + 37/6 + -6. Determine h(f). -11 Let y be -4*2/12*(-3 - 0). Suppose 3*i - 14 = -5. Let m(h) = 1 + 7*h + y*h - 3*h - i*h. Give m(-1). -2 Suppose -122*z = -108*z - 28. Let c(p) = -6*p - 1. Suppose 3*m + 20 = -5*d - m, m + 4 = -d. Let u(w) = 6*w + 1. Let k(o) = d*c(o) - 5*u(o). Calculate k(z). -13 Let v = 23 - 25. Let f be (-2)/4 - v/4. Let w(k) = k**2 - 1. Determine w(f). -1 Let m(k) = -k**2 + 6. Let d = 3 - 0. Let q(r) = -r**2 - 2. Let o be q(0). Let v(g) = -g**2 - g + 7. Let w(p) = d*m(p) + o*v(p). Determine w(5). -11 Let n(t) = 5*t + 1. Let z(x) = x**2 + 8*x + 2. Let f be z(-8). Suppose f*r = -u + 4, r = -2*u - 2*u - 5. Determine n(u). -9 Suppose -3*m = k - 16, 0*k + 3*k = -m. Let j(g) = -g + 2. Calculate j(m). -4 Let l(c) = -c**3 + 0*c + 11*c**2 + 2287 + 0*c**3 - c - 2271. Calculate l(11). 5 Let j(h) = 4*h + 27. Let m be j(-5). Let v(x) = -9 - m*x + 14*x**2 - 8*x**2 - 5*x**2. Calculate v(7). -9 Let d(s) be the first derivative of 3*s + 16 - 1/2*s**2. What is d(7)? -4 Let p be (-1 - 7)*(-1)/2. Suppose -5*c = -2*o - 113, 7*c = p*c + 4*o + 65. Let r = c + -18. Let a(k) = -k**2 + 5*k + 2. Determine a(r). 2 Let p(m) = 13*m**2 + m. Suppose 4*l - 2*i + 4 - 50 = 0, -l + 8 = 3*i. Suppose l*n - 1 = 12*n. Give p(n). 12 Let p(q) = 10*q**2 - 7*q + 6. Let s be p(1). Let w(x) = 5*x - 2*x + 3 - s*x. What is w(3)? -15 Suppose 2*c - 4*i = -68, 0 = -5*c - i - 156 + 8. Let w be (-12)/c + (-6)/(-10). Let s(j) = w + 2*j + 2 - 3. Determine s(2). 4 Let f(k) = 4*k + 141. Let w be f(-37). Let b(r) = -2*r**2 - 11*r - 10. Give b(w). -31 Let k be ((-243)/(-135))/(6/(-20)). Let y(d) = -6 - 2*d + 2 + d + 1. Determine y(k). 3 Let u(l) = -11*l**2 - 35*l - 48. Let c(v) = -2*v**2 - 3*v - 1. Let s(a) = -6*c(a) + u(a). Determine s(19). -4 Let h(m) = -7 - 10 + 10 - 2*m + m**2. Let j be h(5). Suppose j*o - 3*o + 30 = 0. Let g(l) = -l**3 - 7*l**2 - 5*l - 2. Give g(o). -8 Let v = 10 - 5. Suppose -v*y - 25 = 3*f, f - 10 = -0*f + 2*y. Let z be -2 + -5 - (f + -1). Let t(m) = -m**2 - 5*m + 3. Determine t(z). -3 Let l(z) be the first derivative of -1/360*z**6 - 2/3*z**3 + 0*z + 0*z**2 + 7/120*z**5 + 3 - 1/6*z**4. Let t(g) be the third derivative of l(g). Calculate t(6). 2 Let x(v) = -3*v**2 - 3*v - 2. Let o(k) = -4*k**2 - 5*k - 1. Let y(j) = -4*o(j) + 5*x(j). Suppose 0 = -0*q + 4*q + 3*c + 28, 3*q - 4*c + 21 = 0. What is y(q)? 8 Let k(m) be the first derivative of -m**4/4 - 4*m**3/3 + 5*m**2/2 - m + 6. Calculate k(-5). -1 Let l(h) = -h**3 - 9*h**2 - 7*h + 5. Suppose -31*j = -j + 240. What is l(j)? -3 Let c(n) = -n - 1. Let u(x) = 20*x + 7. Let a(p) = 6*c(p) + u(p). Let j(l) = l**3 - 17*l**2 + 37*l - 335. Let y be j(16). What is a(y)? 15 Let a(d) = d**2 + 3*d - 5. Let t be ((-3)/4)/(117/(-520))*-3. Let p(i) = i**3 + 11*i**2 + 12*i + 15. Let u be p(t). Calculate a(u). 5 Suppose 0 = -2*q - 1 + 17. Let o(n) = 4*n**2 - 16*n - 7. Let p(w) = 3*w**2 - 13*w - 7. Let c(b) = 2*o(b) - 3*p(b). Calculate c(q). -1 Let k(s) be the first derivative of -29*s**2 + 0*s + 9*s - 24*s**2 + 54*s**2 + 14. What is k(-8)? -7 Let i be (-15 - -1)/(-4 - -2). Let g = 0 - -9. Let t(y) = -y + 9 + 8 - g. Determine t(i). 1 Suppose 62*z - 24 = 66*z. Let a(t) be the first derivative of t**2/2 + 2. Give a(z). -6 Let u(k) = k**3 + 8*k**2 + 4*k + 6. Let c be u(-7). Suppose -5*m + c = 12. Let t(f) = 2*f - 1 - 6 + 4. Calculate t(m). 3 Let t(p) = -4*p**2 + 4*p - 3. Let j(n) = -n**3 - 10*n**2 - 12*n - 2. Let x be j(-8). Let b = x - -36. Determine t(b). -11 Let f(g) = -g**2 + g + 1. Let s(u) = -5*u**2 + 10*u + 10. Let o = 44 - 38. Let y(p) = o*f(p) - s(p). What is y(-4)? -4 Let a(b) = 3*b + 6. Let i(u) = 3*u - 9 + 10 + 4. Let n(o) = 6*a(o) - 7*i(o). What is n(-5)? 16 Let f(u) be the first derivative of 2*u**2 + 7*u - 7. Calculate f(-4). -9 Suppose -5*g - 10 =
{ "pile_set_name": "DM Mathematics" }
) -0.2 (c) x (d) 0 c Let h = 1.4327 + 1.5673. Which is the third smallest value? (a) 7 (b) -0.13 (c) h (d) -9 c Let j = -0.191 - 0.209. Let w = 4 - 3. Let z = -25 + 20. Which is the third biggest value? (a) w (b) j (c) z (d) -3 d Suppose 33 = -1271*h + 1238*h. Let v = -2/13 - 16/65. What is the biggest value in h, -3.6, v? v Suppose -3*m + 8*m + 271 = 2*b, b = -3*m - 167. Let c = m - -50. What is the smallest value in -11, -2/7, c? -11 Let q = -1/192 + -569/1344. Let n = -196 + 198. What is the fourth smallest value in 0.1, q, -0.4, n? n Let x = 29.9921 + 0.0079. Which is the smallest value? (a) x (b) -4 (c) 4 (d) 2/21 b Let y be 2/(-14)*(-38 + 15 + 20). Which is the second biggest value? (a) 5 (b) y (c) 4 (d) 1.2 c Suppose 53*x - 54 - 211 = 0. Which is the third smallest value? (a) 0 (b) x (c) -4/5 (d) -3 (e) -2/5 e Let t = -3/386 - -11631/6562. Let v = 317.347 - 317.047. Which is the second biggest value? (a) -5 (b) v (c) t b Let n = 994/27 - 1012/27. Let f = 0.1 + -0.09. What is the third smallest value in 0, f, n, -0.07? 0 Let o = 66.5 - -8.5. Let q = 126 - o. Which is the third smallest value? (a) q (b) 3/2 (c) 5/2 a Let h = 482/7 - 69. Let k = 30 + 17. Let u = -49 + k. Which is the third biggest value? (a) u (b) h (c) -0.3 a Let v = 143 - 343. Let q = v - -201. Which is the third smallest value? (a) q (b) 0.07 (c) -4 (d) -0.01 b Suppose -96 = -45*m + 13*m. What is the third smallest value in -0.2, 196, m? 196 Let f(x) = 3*x**3 - 72*x**2 - 75*x - 4. Let r be f(25). Which is the biggest value? (a) 0.146 (b) -1 (c) -5/8 (d) r a Suppose 33*l + 12*l = 225. Suppose 28*w - 6 = 27*w - 5*g, -l*w - 78 = -2*g. What is the third biggest value in -1/3, w, -0.2? w Let f = 39233 - 156933/4. Which is the biggest value? (a) -3 (b) 2/3 (c) f (d) 1/4 (e) 31 e Let o = 12.35 + -12. Let y be 12/(-10)*(493/34 + -15). Let k be -5 + (-329)/(-63) - 376/72. Which is the third smallest value? (a) k (b) y (c) o b Let j = 2378 + -2377. Let k = 208.6 - 209. Suppose -5*i = -0*i + 20. What is the fourth smallest value in k, 0.4, j, i? j Suppose 12*n - 14*n + 4480 = -4*k, -4484 = -2*n + 3*k. Which is the biggest value? (a) 2 (b) n (c) 2/15 (d) 0.1 b Let d(f) = f**2 + 4*f - 6. Let o be d(2). Suppose 0*z + 3*z - o = 0. Suppose -2*m + z = 4. Which is the third biggest value? (a) m (b) 3 (c) 3/7 a Let u = -399 + 381.3. Let k = 14 + u. Let q = k - -3.8. Which is the third smallest value? (a) q (b) -6/5 (c) -3 a Let d = 0.3 + -1.3. Let b = -368 + 1183. Let h = 810 - b. What is the fourth biggest value in h, -8, d, -0.3? -8 Let v = 6576 - 39455/6. Which is the fifth smallest value? (a) 4 (b) 0.3 (c) 0.05 (d) -0.004 (e) v a Let r = -5.094 - -5.294. Which is the second biggest value? (a) r (b) 1 (c) 65 (d) 2/13 b Let r = -683 + 683.3. Suppose 0 = 4*p - 2*p - 8, -13 = -5*m + 3*p. What is the third biggest value in -3/5, r, m, 2/3? r Let s = 24 + -24.265. Let d = s + -0.035. Which is the second smallest value? (a) -2/5 (b) d (c) 2/7 b Let i = -1337 + 14706/11. Which is the smallest value? (a) 1 (b) -3 (c) i (d) -9 d Suppose 4*f - 8 = 0, 2*f = 6*k - 11*k + 4. Which is the biggest value? (a) -0.1 (b) -0.4 (c) -2/23 (d) k d Let z = -4 + 8. Let i = -58065 + 754841/13. Which is the second smallest value? (a) 1/3 (b) z (c) 2/5 (d) i a Let t = -545835/68 + 8027. Which is the third biggest value? (a) 2 (b) -1 (c) t (d) -0.4 (e) -7 d Let q = 2.691 + -2.791. Which is the third biggest value? (a) 5 (b) q (c) -0.3 (d) -441 (e) 1 b Let p = -672 + 656. Let h = -14 - -24. Let o = p + h. Which is the smallest value? (a) -4 (b) o (c) 5 b Let j = -0.8878 - -1.0878. Which is the smallest value? (a) 1/3 (b) 176/7 (c) j c Let y = 0 + 0.5. Let n = -2948 - -85484/29. Let k be -7*3/(-4) + 558925/(-84900). What is the biggest value in y, n, k? y Let o = -949.17 - -945. Let p = 0.17 + o. Let n be (10 + 194/(-18))*6/21. Which is the fourth smallest value? (a) n (b) 0.3 (c) p (d) 3 d Let w = 791 - 735.7. Let t = w + -63.3. Which is the second biggest value? (a) -9 (b) t (c) 2/11 b Let p = 13.4 + 3.5. Let u = 16.9 - p. What is the second biggest value in u, 2, 5, 0.3? 2 Let u = 2808 + -2810. Let h(p) = -p**3 - 6*p**2 - 5*p + 3. Let o be h(-4). Let k = o
{ "pile_set_name": "DM Mathematics" }
or of a and 12? 6 Suppose 20*n = 2*i + 18*n - 310, 467 = 3*i - 5*n. Calculate the greatest common divisor of 539 and i. 77 Let j(o) = o - 3. Let c be j(9). Suppose -15*q + 117 = -c*q. Calculate the highest common factor of q and 26. 13 Let h = -18 + 94. Suppose -4*m + h = 4. What is the greatest common factor of m and 9? 9 Suppose 9*t = 11*t. Suppose -n + 0*n + 2 = t. Calculate the highest common factor of 18 and n. 2 Suppose -2*f = -6*f + 1136. Suppose -5*n = -0*n + 2*u - f, -u + 226 = 4*n. Calculate the greatest common divisor of 14 and n. 14 Let r = 2 - -6. Suppose 5*n - 339 = 2*n. Let k = n + -49. Calculate the highest common divisor of k and r. 8 Let b be (2 - 0)/(((-10)/16)/5). Let x = 43 + -22. Let i = b + x. Calculate the greatest common factor of i and 35. 5 Let k(r) = r**3 + 15*r**2 - 20*r - 31. Let u be k(-16). Calculate the greatest common divisor of u and 11. 11 Let b = 96 + -63. Let p be (110/b)/((-4)/(-6)). What is the highest common factor of 25 and p? 5 Suppose 5*y + 26 = 2*j, 9 = -j - 3*y - 0*y. Suppose 0 = 3*n + j, 3*n + 237 = -0*c + c. Let u = -13 - -39. What is the highest common divisor of u and c? 26 Suppose 4*q = -5*v - 5, 4*v + 6 - 23 = q. Let r = 19 + -17. Suppose 0 = r*x + v*x - 80. What is the greatest common divisor of 80 and x? 16 Let c(u) = -u**3 - 10*u**2 - 10*u - 10. Let m be c(-11). Suppose -5*b + m + 69 = 0. Calculate the highest common divisor of 29 and b. 29 Let y(h) = 8 + 2*h + h**2 - 8*h**2 + 19*h + 6*h**2. Let o be y(16). What is the highest common divisor of o and 8? 8 Let w(u) = u**3 - 6*u**2 + 6*u. Let o be w(5). Suppose 3*f + 9 = 0, 0 = -b + o*f - 5 + 22. Suppose -b*n = n - 297. What is the highest common factor of n and 9? 9 Let c(j) = 5 - j**3 + 11*j**2 + 2*j - 10 + j + 2. Let w be c(11). What is the greatest common factor of 60 and w? 30 Suppose -126*l + 127*l - 96 = -3*a, 64 = 2*a + l. What is the highest common divisor of 440 and a? 8 Let s(i) = -i + 16. Let p be s(1). What is the highest common factor of p and 75? 15 Suppose 0*p = -4*p + y + 49, 0 = -4*p + 2*y + 50. Let b be (-2 + (-50)/(-4))/(p/64). What is the highest common divisor of 84 and b? 28 Let h = -4 + 5. Let d(i) = -5*i - 27*i - 7*i - h. Let v be d(-2). Calculate the greatest common divisor of 7 and v. 7 Let o be ((-4)/(-2) - 1)*11. Suppose 0 = -5*f - p - 175, 3*f = 2*p + 68 - 186. Let y = -25 - f. Calculate the highest common factor of y and o. 11 Suppose -4*u - 54 = -94. Calculate the greatest common factor of u and 6. 2 Let l = 178 - 143. Suppose 37 + 14 = 3*g - d, 2*g - d - l = 0. What is the highest common factor of g and 2? 2 Let i(l) = -3*l - 5 - 7*l**2 - 6*l**3 + 5*l**3 + 6*l. Let k be i(-9). Suppose -d = d - 104. Calculate the highest common divisor of k and d. 26 Suppose 4*u - 360 = -4*x, 49*x + 477 = 54*x - 4*u. What is the greatest common factor of 3 and x? 3 Suppose 7*x = 2*x + 240. Let y = 22 - -10. What is the greatest common factor of y and x? 16 Suppose 21*r - 3276 = -21*r. What is the highest common divisor of r and 819? 39 Let h(b) = 8*b - 28. Let n be h(11). Suppose -2*a - 2*a + 8 = 0. Suppose a*q - n = -q. Calculate the highest common divisor of q and 5. 5 Let x(a) = -a**3 + 7*a**2 + 7*a + 6. Let k be x(8). Let l be (8/10)/(k/(-60)). What is the greatest common factor of l and 6? 6 Let z(g) = g**3 + 4*g**2 - g - 10. Let b be z(3). Let l = b - 41. Suppose -5*h + 14 + 1 = 0. Calculate the highest common factor of h and l. 3 Suppose -3*j + 53 + 43 = 0. Let m = j + -26. Suppose 0 = m*w - w - 45. Calculate the highest common divisor of 27 and w. 9 Let r(u) = -2*u**2 + 3*u + 5. Let l be r(-2). Let g be (-2)/l - (-748)/36. Calculate the greatest common factor of g and 147. 21 Let r be 6/4 - ((-42)/4)/3. Let k be (2 - 1) + -1 + 0. Let b = r - k. What is the highest common divisor of 1 and b? 1 Suppose 234 + 45 = f. Let c = -490 - -521. Calculate the highest common factor of c and f. 31 Let o(z) = 3*z + 3 - 8 + 7*z. Let x be o(4). Let p(r) = r**2 - 29*r + 59. Let l be p(27). What is the highest common divisor of l and x? 5 Let n(o) = -o + 1. Let b(v) = -2*v + 6. Let q(g) = -b(g) + 3*n(g). Let h be q(-4). What is the greatest common divisor of 2 and h? 1 Suppose 4*s = -i + 3403 + 1017, 5*s - 5*i - 5525 = 0. What is the greatest common divisor of 255 and s? 85 Let a(u) = -u**2 + u + 6. Let z be a(-2). Suppose -5*l + 71 - 1 = z. What is the highest common factor of l and 98? 14 Let y = -15 + 21. Let b be ((-2)/y)/(8/(-96)). Suppose -5*h - b*d = -151, h + 4*h - 115 = 5*d. What is the greatest common factor of h and 9? 9 Let u = 24 + -40. Let c be 2*u/(-6)*(-24)/(-16). Let m be (2/4)/(2/8). Calculate the highest common divisor of c and m. 2 Let o(f) = f - 7. Let t be o(-1). Let l(n) = n + 17 + 0*n + 0*n. Let j be l(t). What is the greatest common factor of j and 45? 9 Let d(k) = 7*k**2 - 4*k + 13. Let n be d(9). Calculate the highest common factor of 17 and n. 17 Let g be (2 - (-5)/(-1))*-1. Suppose 2*n + 0*n - 2 = 0. Let w be 3 + (n + 0 - -2). What is the highest common factor of w and g? 3 Let x(d) = 31*d - 14. Let y be x(2). What is the greatest common factor of y and 552? 24 Let y = 760 - 718. What is the highest common factor
{ "pile_set_name": "DM Mathematics" }
n = 0.3 + -0.3. Sort 1/6, n, o in increasing order. n, 1/6, o Suppose 5*r = -5*b + 11 + 154, 105 = 3*r + b. Let o be (24/(-84) - 522/(-14))*-1. Let m = o + r. Sort -3, 3, m. -3, m, 3 Let z = 10/7 + -73/56. Let o = -0.1 + -0.06. Let r = -0.15 - o. Sort z, -0.4, r in descending order. z, r, -0.4 Suppose -i - 4*c = 10 - 23, 37 = 4*i + c. Sort -3, i, 1/11. -3, 1/11, i Let m be (-2)/(-9) - 210/(-27). Let x be (-1)/(-4) - 98/m. Let w be 8/x*12 + 4. Sort 4, 1, w. w, 1, 4 Let l = -2.8 + 3. Let c = 45.3 - 44.7. Sort -2, c, l in ascending order. -2, l, c Let r = -7 + 4. Let d be 1*0*(-2)/10. Suppose -5*m + 0*m + 4*j = d, -2*m = -j. Put r, m, -4 in decreasing order. m, r, -4 Let r be 1035/21 - (-18)/(-63). Let i = 44 - r. Put 7, 0, i in descending order. 7, 0, i Suppose -51*h = -57*h - 66. Let x = h - -6. Sort -1, x, 3. x, -1, 3 Let u(t) = 3*t**3 + 2*t**2 + 3*t + 6. Let s(o) = -5*o**3 - 3*o**2 - 6*o - 11. Let k(x) = 4*s(x) + 7*u(x). Let f be k(-3). Put -1, f, 0 in ascending order. f, -1, 0 Let d = -0.036 - -2.136. Suppose 77*z = 81*z + 4. Sort d, 2, z in descending order. d, 2, z Let l be (7/(21/(-6)))/(-2). Put l, 4, -2, -3 in decreasing order. 4, l, -2, -3 Let i = 11.353 - -0.047. Let l = i + -11. Let z = -18.5 + 14.5. Sort z, -1, l in ascending order. z, -1, l Let d = 0.23 + -14.83. Let b = -15 - d. Put -0.3, b, -1/2 in descending order. -0.3, b, -1/2 Suppose -5*u + 3*p + 1 = -4, -11 = 3*u + p. Let q(r) = -r + 7. Let a be q(3). Let z be 18/(-4) + 2/a. Sort z, 1, u in increasing order. z, u, 1 Let l = 5.208 + -1.208. Let j = -0.2 - 0. Let f = -0.2 - j. Sort f, l, -3. -3, f, l Let z(p) = -3*p**2 + 21*p + 26. Let t(d) = -2*d**2 + 14*d + 17. Let j(o) = -7*t(o) + 5*z(o). Let n be j(8). Sort 5, -4, n, -5 in ascending order. -5, -4, n, 5 Let q be (2 + -4)/(-1 - -6). Let s = -92.1 + 92.03. Put q, s, 0.4 in ascending order. q, s, 0.4 Let a = 109 + -102.8. Let m = a - 3.2. Put m, -0.3, -3, 1 in descending order. m, 1, -0.3, -3 Let w = 626 + -626.4. Let t = -4.11 + 0.11. Sort w, 3, t. t, w, 3 Suppose -7*c + 6*c = -245. Let a be 196/c - (-14)/(-20)*4. Sort -3, -1/9, a in descending order. -1/9, a, -3 Suppose 2*h + 64 = -2*o - 3*h, -3*o = 2*h + 74. Suppose -4*l = -43 + 119. Let s = o - l. Sort s, -7, 0. -7, s, 0 Let l be 490/(-56) - 2/8. Put l, 6, -2 in descending order. 6, -2, l Suppose -2*p + 7*n - 9*n = -6, 5*p - 6 = 4*n. Sort -4, p, 54. -4, p, 54 Let l(h) = -h**3 - 7*h**2 - 6*h + 2. Let j be l(-6). Let n = 324 - 320. Sort n, 5, j. j, n, 5 Let o = 4 - -1. Put -32, 3/5, o in decreasing order. o, 3/5, -32 Suppose 2*t = -4*z + 3*t - 13, z + 3*t = -13. Let f = 23 - 25. Let c be ((-6)/4)/(f/(-4)). Put 3, c, z in ascending order. z, c, 3 Let w(i) = -3*i**2 - 37*i - 9. Let c be w(-12). Sort 5, 4, c, -92 in decreasing order. 5, 4, c, -92 Suppose 2*k - t - 5 = 2, 2*t + 6 = 0. Suppose -2*n + 20 = 3*n. Sort -5, n, k, 19. -5, k, n, 19 Suppose 3*i - 18 = -6*i. Put -2, -3, 4, i in descending order. 4, i, -2, -3 Let j = 58 - 58.5. Let z = -0.96 - -1. Sort z, 3, j in decreasing order. 3, z, j Suppose -6 = -3*u + 3*p, -10 = u - 7*p + 2*p. Let f(j) be the second derivative of j**3/3 - 3*j**2 - 4*j. Let y be f(u). Sort 0.1, -0.3, y in descending order. y, 0.1, -0.3 Let f be (-86)/731 + (-25)/(-68). Put 0.5, 0.11, f, -3/2 in decreasing order. 0.5, f, 0.11, -3/2 Let j(z) = z + 13 - 5*z + z + 2*z. Let n be j(12). Suppose 3*w + 23 = -5*f, 5*w - 5 - 6 = 4*f. Sort f, n, -1 in increasing order. f, -1, n Let d = -0.019 - -2.019. Let s = 13 - 14.3. Put d, -5, s in increasing order. -5, s, d Let g = 12/7 + -41/28. Let h = -4.937 + -0.063. Put h, g, -1/5 in decreasing order. g, -1/5, h Let n = -0.05 - 0.85. Let g = -8 + 11. Put n, g, -4 in increasing order. -4, n, g Let r = -282 - -1411/5. Sort r, -4, -13 in increasing order. -13, -4, r Suppose -2*s + 5*s - 15 = 0. Let x = 505 - 505. Let q = -1 + 0.5. Sort x, q, s. q, x, s Let c = -9 + 11. Suppose b + 4*t - 1 = 16, -b + c*t = 13. Sort -0.2, 2, 1, b in decreasing order. 2, 1, -0.2, b Let a = 12 - 7. Let g = -29.8 - -30. Sort a, -0.5, -2/17, g in decreasing order. a, g, -2/17, -
{ "pile_set_name": "DM Mathematics" }
-226300 What is next in -1897328, -1897311, -1897282, -1897241? -1897188 What is next in -50669, -50873, -51229, -51749, -52445, -53329, -54413? -55709 What comes next: -74968, -74980, -75014, -75082, -75196, -75368, -75610? -75934 What is the next term in 49, 118, 239, 418, 661? 974 What is the next term in 6285142, 12570281, 18855412, 25140535, 31425650? 37710757 What is next in 79, -277, -1157, -2801, -5449, -9341, -14717, -21817? -30881 What is the next term in -93087, -89267, -82901, -73995, -62555? -48587 What comes next: 3265372, 3265457, 3265598, 3265795? 3266048 What is next in 1387311, 1387049, 1386775, 1386483, 1386167, 1385821? 1385439 What is next in -6563, -13006, -19423, -25814? -32179 What is next in -2482, -20409, -69074, -163849, -320106, -553217? -878554 What comes next: -678, -1377, -2104, -2871, -3690? -4573 What is the next term in -38972, -155948, -350922, -623894? -974864 What is next in 99171, 99240, 99415, 99750, 100299, 101116? 102255 What comes next: -15526, -31389, -47252, -63115, -78978? -94841 What is the next term in 26293, 60074, 93855, 127636? 161417 What is the next term in -41171, -41188, -41209, -41234, -41263, -41296, -41333? -41374 What comes next: -240, -1032, -2784, -5976, -11088, -18600? -28992 What is next in 323, -648, -2263, -4528, -7449, -11032? -15283 What comes next: -66630477, -66630480, -66630483, -66630486? -66630489 What comes next: 2348891713, 2348891714, 2348891715? 2348891716 What is next in -102309, -102225, -102139, -102051, -101961, -101869? -101775 What is the next term in 3312, 6023, 8124, 9615, 10496? 10767 What comes next: 122493, 122142, 121791, 121440? 121089 What is next in -1047, -1558, -2349, -3420? -4771 What is next in -160813, -160831, -160863, -160909, -160969, -161043, -161131? -161233 What is next in 19086206, 76344838, 171775892, 305379368, 477155266? 687103586 What comes next: 174888, 174573, 174258, 173943, 173628? 173313 What comes next: -7233, -15759, -25579, -36687, -49077? -62743 What is the next term in -686206324, -686206325, -686206326, -686206327, -686206328? -686206329 What is the next term in 875, 102, -1097, -2932, -5613, -9350? -14353 What comes next: 145, 435, 901, 1627, 2697? 4195 What is the next term in -3465, -3392, -3321, -3252? -3185 What is next in 25350, 39615, 53892, 68187, 82506? 96855 What is the next term in -2018008138, -2018008139, -2018008140, -2018008141, -2018008142? -2018008143 What comes next: -276180, -276643, -277106, -277569, -278032? -278495 What comes next: -50040, -47401, -44762, -42123? -39484 What is the next term in 20401, 20407, 20449, 20545, 20713, 20971? 21337 What is the next term in -215984, -215929, -215874, -215819, -215764, -215709? -215654 What is next in -10606780, -10606783, -10606786, -10606789, -10606792? -10606795 What is the next term in 2726705, 2726666, 2726601, 2726510? 2726393 What is next in 325057, 325087, 325137, 325207? 325297 What comes next: -814990, -1630014, -2445052, -3260110, -4075194, -4890310, -5705464? -6520662 What comes next: -1310715, -1310713, -1310711, -1310709, -1310707? -1310705 What comes next: 1475087, 1475108, 1475131, 1475156, 1475183, 1475212? 1475243 What comes next: -1839066, -1838833, -1838600, -1838367, -1838134? -1837901 What is next in 198, 260, 358, 492, 662? 868 What comes next: -1464, -2792, -4102, -5382, -6620, -7804, -8922? -9962 What is next in 92492502, 92492504, 92492510, 92492520? 92492534 What is next in -3034, -12659, -28686, -51103, -79898, -115059? -156574 What is the next term in -21611, -87356, -196883, -350186, -547259, -788096? -1072691 What is next in -4303, -4086, -3865, -3640, -3411, -3178, -2941? -2700 What is the next term in 288970, 289010, 289040, 289054, 289046? 289010 What is the next term in -816851, -6534513, -22053859, -52275731, -102100971, -176430421, -280164923, -418205319? -595452451 What is next in 89, -330, -1145, -2452, -4347, -6926, -10285? -14520 What is next in -100570, -201132, -301694, -402256, -502818, -603380? -703942 What is the next term in -23068, -92226, -207478, -368812, -576216, -829678, -1129186? -1474728 What is the next term in -2151, -1954, -1741, -1506, -1243? -946 What is the next term in -35399829, -35399815, -35399791, -35399757, -35399713? -35399659 What is next in 591, 135, -1271, -3627, -6933? -11189 What is the next term in -379, -1457, -3219, -5647, -8723, -12429? -16747 What is next in -1570332, -3140541, -4710746, -6280947, -7851144, -9421337? -10991526 What is next in 7465, 30026, 67635, 120292? 187997 What comes next: 3405884, 6811763, 10217642, 13623521, 17029400? 20435279 What is the
{ "pile_set_name": "DM Mathematics" }
when two letters picked without replacement from ussuluaslslsusbbsu. 1/153 Three letters picked without replacement from xxddnxddxx. Give prob of picking 2 d and 1 n. 1/20 Three letters picked without replacement from yhhhyhhyhhhhyhyhhhhd. What is prob of picking 1 d and 2 h? 91/1140 Two letters picked without replacement from {j: 2, w: 2}. Give prob of picking 2 w. 1/6 Calculate prob of picking 1 i and 1 c when two letters picked without replacement from fafficaif. 1/18 Calculate prob of picking 4 b when four letters picked without replacement from blblbbllbbblb. 14/143 Three letters picked without replacement from {g: 1, b: 4, n: 6}. What is prob of picking 2 n and 1 g? 1/11 What is prob of picking 2 z when two letters picked without replacement from szassazss? 1/36 Two letters picked without replacement from {e: 2, b: 1, g: 2}. Give prob of picking 2 g. 1/10 Four letters picked without replacement from jzjzzjzjzjjjz. Give prob of picking 1 j and 3 z. 28/143 Four letters picked without replacement from {e: 1, u: 3, s: 1}. What is prob of picking 1 e and 3 u? 1/5 Four letters picked without replacement from wsabrsv. Give prob of picking 2 s, 1 w, and 1 a. 1/35 Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmmvmmomomvvo. 7/26 Calculate prob of picking 1 f and 2 c when three letters picked without replacement from ffccff. 1/5 What is prob of picking 1 r, 1 k, and 2 a when four letters picked without replacement from {j: 1, r: 1, n: 1, k: 1, a: 2, w: 1}? 1/35 Calculate prob of picking 1 w, 1 h, and 1 j when three letters picked without replacement from jlfwjhn. 2/35 Three letters picked without replacement from stzvtskkzkktskd. What is prob of picking 2 s and 1 z? 6/455 Four letters picked without replacement from kkzzzksszskkz. Give prob of picking 1 k and 3 s. 1/143 Calculate prob of picking 4 g when four letters picked without replacement from kkggkggggkggggggkkg. 715/3876 What is prob of picking 1 c and 1 l when two letters picked without replacement from {l: 9, c: 7}? 21/40 Calculate prob of picking 2 f and 2 z when four letters picked without replacement from {z: 6, f: 6}. 5/11 Calculate prob of picking 3 k when three letters picked without replacement from {v: 7, k: 4, r: 3}. 1/91 What is prob of picking 2 u when two letters picked without replacement from {u: 11, i: 9}? 11/38 Two letters picked without replacement from {e: 1, i: 6, d: 5, a: 6}. Give prob of picking 1 i and 1 e. 2/51 What is prob of picking 3 u and 1 s when four letters picked without replacement from {s: 13, u: 3, q: 1}? 13/2380 Three letters picked without replacement from yyynnywcycy. Give prob of picking 1 c and 2 y. 2/11 Three letters picked without replacement from xdxgdg. Give prob of picking 1 g and 2 x. 1/10 Calculate prob of picking 2 t when two letters picked without replacement from tncttjjnujttjtc. 1/7 Two letters picked without replacement from {z: 5, r: 7}. What is prob of picking 1 z and 1 r? 35/66 Four letters picked without replacement from yyeueeyeuyye. Give prob of picking 1 y, 1 e, and 2 u. 5/99 What is prob of picking 2 b when two letters picked without replacement from {f: 6, w: 1, b: 8, u: 3}? 28/153 Two letters picked without replacement from yyymmmmymyym. What is prob of picking 2 m? 5/22 What is prob of picking 4 x when four letters picked without replacement from {d: 1, t: 3, l: 3, x: 4}? 1/330 What is prob of picking 1 c, 1 n, and 1 h when three letters picked without replacement from nmccphmhmh? 1/20 Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 1, t: 2, j: 1, r: 4}. 1/28 What is prob of picking 1 e and 2 o when three letters picked without replacement from {e: 7, o: 7}? 21/52 Three letters picked without replacement from nuucyy. Give prob of picking 1 u and 2 y. 1/10 Two letters picked without replacement from jqqjuqqtq. What is prob of picking 1 t and 1 j? 1/18 What is prob of picking 1 o, 2 j, and 1 u when four letters picked without replacement from {o: 1, k: 4, u: 9, j: 2}? 9/1820 Calculate prob of picking 1 n, 2 q, and 1 a when four letters picked without replacement from {a: 1, v: 1, o: 8, n: 1, q: 4}. 2/455 Calculate prob of picking 2 l, 1 p, and 1 t when four letters picked without replacement from ttprteppltltll. 90/1001 Four letters picked without replacement from dddqsqd. Give prob of picking 2 q and 2 d. 6/35 Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {t: 1, l: 2, j: 1, m: 1, e: 2}. 1/21 Three letters picked without replacement from {c: 2, j: 5, u: 1, t: 3, h: 3, w: 1}. What is prob of picking 1 w, 1 h, and 1 u? 3/455 Three letters picked without replacement from feffffxfffffxf. What is prob of picking 2 f and 1 e? 55/364 What is prob of picking 1 b and 1 q when two letters picked without replacement from pbdqqbqzq? 2/9 Three letters picked without replacement from {a: 3, e: 9, p: 4}. Give prob of picking 2 a and 1 p. 3/140 What is prob of picking 1 f and 2 s when three letters picked without replacement from sssfsf? 3/5 Four letters picked without replacement from jjhjjxhjhhh. Give prob of picking 4 j. 1/66 Calculate prob of picking 2 v when two letters picked without replacement from vvktxmmxmtxxkkmmmmm. 1/171 What is prob of picking 2 v when two letters picked without replacement from {e: 2, v: 16}? 40/51 Two letters picked without replacement from {c: 3, m: 5, f: 3, v: 1, l: 1}. What is prob of picking 1 l and 1 c? 1/26 Calculate prob of picking 1 i, 2 w, and 1 f when four letters picked without replacement from iwiwff. 4/15 What is prob of picking 2 m when two letters picked without replacement from mjjijpipjijjpjjpjpm? 1/171 Four letters picked without replacement from yfwwdfwfddwfwfw. Give prob of picking 4 w. 1/91 Calculate prob of picking 1 t and 2 v when three letters picked without replacement from {q: 6, t: 1, v: 4, y: 4, d: 5}. 1/190 Four letters picked without replacement from ozxzxxoo. What is prob of picking 2 o and 2 x? 9/70 What is prob of picking 1 e and 3 z when four letters picked without replacement from zzeez? 2/5 Calculate prob of picking 1 e and 1 s when two letters picked without replacement from {e: 2, s: 2}. 2/3 Calculate prob of picking 2 k when two letters picked without replacement from kfkkfkkfkkffk. 14/39 What is prob of picking 1 k, 1 e, and 1 d when three letters picked without replacement from uduekduideuupe? 9/364 Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {o: 1, h: 2, t: 1, k: 3}. 3/35 What is prob of picking 1 d and 1 e when two letters picked without replacement from dedxdeexdedxxxedeede? 28/95 Calculate prob of picking 2 u and 2 w when four letters picked without replacement from uuwuuwuuuuu. 6/55
{ "pile_set_name": "DM Mathematics" }
vide -163830955 by -1. 163830955 310590260 divided by -155295130 -2 9 divided by -45919891 -9/45919891 -6980427 divided by -775603 9 What is 11979 divided by 1689? 3993/563 Calculate -2509540 divided by -2057. 1220 What is -28469688 divided by -104? 273747 Calculate -5 divided by 112120535. -1/22424107 What is 77505 divided by -25835? -3 What is 735039405 divided by -3550915? -207 Divide -3039471 by 13. -3039471/13 What is 66349168 divided by 8293646? 8 Calculate 22502130 divided by 3873. 5810 Calculate -275290 divided by 1. -275290 -17651153 divided by -2 17651153/2 Calculate 258 divided by 722352. 43/120392 Divide 94394409 by -31464803. -3 Calculate -596758 divided by -46. 12973 What is 197286324 divided by 6? 32881054 Divide -5 by -120146295. 1/24029259 Calculate -1539743 divided by 64. -1539743/64 -12744466 divided by -6372233 2 Divide 48130 by 159. 48130/159 What is 18811054 divided by -5? -18811054/5 Calculate 333760029 divided by 3. 111253343 What is 10646967 divided by -3? -3548989 What is -798554277 divided by -153? 5219309 526 divided by -36762 -263/18381 Calculate -2046 divided by 65776. -1023/32888 Calculate 1675187268 divided by 3. 558395756 Calculate 2436281 divided by 280. 2436281/280 Calculate 4 divided by -2573495. -4/2573495 -20658708 divided by 70749 -292 -2 divided by 8952651 -2/8952651 Divide -14 by 3846717. -2/549531 -811212 divided by 114 -135202/19 -220 divided by 3004392 -55/751098 Calculate 241234100 divided by 4. 60308525 What is -228425 divided by 56? -228425/56 -47144889 divided by -6 15714963/2 Divide -1023380 by 19. -1023380/19 Divide -12105084 by -2157. 5612 Calculate -355637837 divided by -839. 423883 What is -491602 divided by 2? -245801 6333 divided by 38970 2111/12990 Divide -70671766 by 2. -35335883 Divide -285651 by -4017. 95217/1339 -242315288 divided by -30289411 8 Calculate -504051 divided by 19. -26529 Calculate -2361905 divided by 145. -16289 Calculate -1 divided by -102756905. 1/102756905 Calculate 57188885 divided by -65. -879829 What is -30487216 divided by 4? -7621804 What is -1201 divided by 6293? -1201/6293 -188308840 divided by 37661768 -5 What is -778 divided by -22387? 778/22387 Divide 1114919508 by 278729877. 4 Divide -28 by -142722. 14/71361 Divide 16349234 by -38. -430243 Divide -3307328730 by -5. 661465746 171990324 divided by 6 28665054 -4697686 divided by -335549 14 What is -53412390 divided by 90? -593471 What is -12303593 divided by 2? -12303593/2 Calculate -19 divided by 583504. -19/583504 Divide 1259 by -2085. -1259/2085 Divide 703087950 by 117181325. 6 Calculate 2 divided by -52323669. -2/52323669 -12214806 divided by -62 197013 -12386050 divided by -1891 6550 Calculate -195666685 divided by -5. 39133337 Divide 0 by -4048270. 0 Divide 14562916 by -212. -68693 Calculate 1940706 divided by 71878. 27 Calculate -15295 divided by 263. -15295/263 Calculate 24035004 divided by 5334. 4506 Divide -32960640 by -80. 412008 What is -143718200 divided by 2792? -51475 Divide -940577966 by -1. 940577966 Divide -5504835 by -2. 5504835/2 What is -129 divided by 1840412? -129/1840412 Divide 126601090 by -11. -11509190 What is -5845 divided by 161? -835/23 Calculate 649321140 divided by 3509844. 185 39822510 divided by -13195 -3018 What is 10486250 divided by 41945? 250 Calculate -11163 divided by -4142. 11163/4142 Divide -255198925 by -10207957. 25 What is -19381 divided by -26? 19381/26 -22217223 divided by 7405741 -3 -127040172 divided by 1 -127040172 228 divided by 1157671 228/1157671 What is -275275765 divided by 171085? -1609 What is -650168 divided by 273? -650168/273 What is 482417 divided by -8? -482417/8 209050120 divided by 54088 3865 Calculate -280760494 divided by 12206978. -23 Divide 14376 by -14934. -2396/2489 Calculate -42026 divided by 1113. -42026/1113 What is 10198463 divided by -31? -10198463/31 26456 divided by 13228 2 Calculate 62041200 divided by 4656. 13325 Divide 229586092 by -4. -57396523 -1 divided by 33083378 -1/33083378 Calculate -60162440 divided by 5080. -11843 What is -38726 divided by 2278? -17 651044 divided by -14 -325522/7 Divide -151271027 by 6. -151271027/6 Divide 8868128 by -1. -8868128 Calculate 127238136 divided by -248. -513057 Divide -40 by -5452662. 20/2726331 -251328 divided by 3 -83776 -71797128 divided by 2 -35898564 What is -146 divided by 172344? -73/86172 -940422147 divided by 1652763 -569 Calculate -1610271 divided by -64. 1610271/64 Calculate -7277440 divided by -3638720. 2 What is -18573028 divided by -9286514? 2 -24299866 divided by 7 -24299866/7 Divide 4604 by -229. -4604/229 What is -3982595 divided by 3? -3982595/3 Calculate 1342 divided by 1809. 1342/1809 Divide -132015005 by 4. -132015005/4 What is -27529733 divided by 11? -2502703 What is -113030552 divided by 4? -28257638 Calculate 0 divided by -6351461. 0 Divide 23193804 by -10884. -2131 Divide 1 by -191411173. -1/191411173 Divide -2742 by 8306. -1371/4153 Divide -212860076 by -270127. 788 Calculate 3105765 divided by -621153. -5 -156890290 divided by 78445145 -2 What is -532 divided by -10855? 532/10855 Calculate 4 divided by -17063233. -4/17063233
{ "pile_set_name": "DM Mathematics" }
14*h(t)? -4*t + 2 Let u(t) = 9*t**2 - 3*t - 7. Let l be ((-105)/(-12))/(320/512). Let z(y) be the first derivative of -4*y - y**2 + 5/3*y**3 - l. Give 4*u(w) - 7*z(w). w**2 + 2*w Let f(j) = -3*j**2 + 113*j - 146. Let z(l) = -l**2 + 45*l - 73. What is 2*f(g) - 5*z(g)? -g**2 + g + 73 Let o(m) = -191. Let i(h) = -5538. Let j(t) = -3*i(t) + 87*o(t). Let s(c) = -3 + 0*c**2 + c**2 - 1. Give -4*j(a) + 3*s(a). 3*a**2 Let d be (1402/2103)/(-1*2/(-9)). Let a(j) = 2*j**2 - 2*j + 5. Let l(y) = -4*y**2 + 3*y - 9. Calculate d*l(c) + 5*a(c). -2*c**2 - c - 2 Let y = 88 + -125. Let v = y + 43. Suppose 0 = 3*p - v*p - 33. Let a(c) = c**2 + 1. Let o(b) = 3*b**2 + 3. Calculate p*a(f) + 4*o(f). f**2 + 1 Let r(w) = -w. Let d(k) = -2834*k + 5701*k - 2847*k. Determine -3*d(n) - 15*r(n). -45*n Let t(b) = -b - 1. Let m(c) = -4*c - 1. Let a(q) be the first derivative of 3*q**2 + 2*q - 13. Let l(r) = 5*a(r) + 7*m(r). What is l(p) + 4*t(p)? -2*p - 1 Let v(h) = -5*h**3 + 8*h**2 + 4*h - 7. Let s(k) = -k**3 + 2*k**2 + k - 2. Let y(o) = -4*s(o) + v(o). Let l(u) = -5*u**3 - u**2 - 2*u + 6. What is l(m) - 6*y(m)? m**3 - m**2 - 2*m Let a(s) = -24*s**3 + 16*s**2 + 3*s - 4. Let w(b) = -b**3 - 4*b**2 - 2*b + 1. Determine a(y) + 4*w(y). -28*y**3 - 5*y Let n(j) = -350*j + 6305. Let o be n(18). Let s(u) = -4*u + 5. Let b(l) = 2*l - 2. What is o*b(w) + 2*s(w)? 2*w Let x(t) = t. Let h(o) = -3*o**3 + 5*o - 2. Let p = 2168 - 2174. Calculate p*x(r) + h(r). -3*r**3 - r - 2 Let w(i) = -12*i + 59. Let u(a) = 16*a - 88. Calculate -5*u(f) - 7*w(f). 4*f + 27 Let n(s) = 26*s**3 + 4. Let k(d) = d**3 + 2*d**2 + 10*d - 3. Let y(h) = h**3 + h**2 + 5*h - 1. Let c(v) = -k(v) + 2*y(v). Calculate -4*c(q) + n(q). 22*q**3 Let y(f) = -21*f + 40. Let h(b) = b**3 - b**2 + 26*b - 94. Let q be h(3). Let p(i) = -5*i + 10. Calculate q*y(d) - 9*p(d). 3*d - 10 Let x(u) = 64*u**2 + 9*u - 8. Let j(t) be the second derivative of 4*t**4/3 + t**3/3 - t**2 + 9538*t. Give 9*j(w) - 2*x(w). 16*w**2 - 2 Let j(r) = -158*r**2 + r**2 + 79*r**2 + 5 + 80*r**2. Let s(u) = -2*u**2 - 6. Let l(h) = h**2 - 3*h - 4. Let q be l(5). Give q*j(y) + 5*s(y). 2*y**2 Let t(d) = 3*d + 3. Let s = -1453 - -1448. Let k(q) = -q + 1. What is s*k(i) + t(i)? 8*i - 2 Let z(a) = -94*a - 6. Let s be (74 - 69)*((2/1)/(-2) + 0). Let q(j) = -63*j - 4. Give s*z(o) + 8*q(o). -34*o - 2 Let q(z) = -2*z - z**2 - 810*z**3 + 623*z**3 + 1 + 188*z**3 + z. Let g(k) = 9*k**3 - 12*k**2 - 12*k + 9. Calculate -g(r) + 12*q(r). 3*r**3 + 3 Let q be (-24 - (-3502)/136) + 2/8. Let r(m) = -3*m**2 - 2. Let f be 0 + 1 - -23 - -1. Let x(w) = 35*w**2 + 25. Calculate f*r(b) + q*x(b). -5*b**2 Let q(m) = 11*m**2 - 32*m + 1. Let o(a) = -13*a**2 + 32*a - 2. Determine 6*o(b) + 7*q(b). -b**2 - 32*b - 5 Let n(m) = -70*m - 2*m**2 - 71*m - 1 + 3*m**2 + 198*m + m**3 - 58*m. Let b(x) = -4*x**2 + x + 4. Calculate b(u) + 4*n(u). 4*u**3 - 3*u Let a(y) = 20*y**3 + 9*y**2 - 5. Let s(m) = -5*m**3 - 2*m**2 + 1. Let f = -3699 - -3697. Give f*a(w) - 9*s(w). 5*w**3 + 1 Let f be ((-4)/8*2)/((-12)/12). Let l(p) = -1. Let h(y) = y - 5. Calculate f*h(r) - 6*l(r). r + 1 Let x(c) = 11*c**3 + 9*c**2 - 11*c - 6. Suppose 0 = -126*m + 114*m. Suppose 7*h + m = -28. Let t(z) = -5*z**3 - 4*z**2 + 5*z + 3. Determine h*x(y) - 9*t(y). y**3 - y - 3 Let a(x) = -51*x**2 - 10*x + 73. Let c(j) = -23*j**2 - 5*j + 35. Calculate -4*a(v) + 9*c(v). -3*v**2 - 5*v + 23 Let d(a) = a**3 - 18*a**2 - 37*a - 1. Let f(m) = 2*m**3 - 26*m**2 - 36*m - 2. Determine -3*d(q) + 2*f(q). q**3 + 2*q**2 + 39*q - 1 Let f(m) = m + 943. Let c(d) = d + 939. Calculate 6*c(t) - 5
{ "pile_set_name": "DM Mathematics" }
ate o(w) + 4*v(w). -3*w - 2 Let r(x) = -676*x. Let i(g) = -208*g - 208*g + 431*g. What is -182*i(u) - 4*r(u)? -26*u Let p(n) = -2132*n**3 + 18*n**2 + 2*n - 2. Let g(b) = -127919*b**3 + 1089*b**2 + 121*b - 121. Determine -4*g(u) + 242*p(u). -4268*u**3 Let m(l) = 3777*l - 1. Let j(v) = -954*v. Determine 9*j(x) + 2*m(x). -1032*x - 2 Let t(o) = 165760*o**3 - 777*o**2 - 259. Let n(c) = -1285*c**3 + 6*c**2 + 2. Determine 777*n(m) + 6*t(m). -3885*m**3 Let f(b) = 318*b**3 + 18*b**2 - 10*b. Let v(w) = 159*w**3 + 7*w**2 - 5*w. Calculate 2*f(g) - 5*v(g). -159*g**3 + g**2 + 5*g Let g(a) = 2*a**2 + 5*a - 15. Let n(l) = -2*l**2 - 6*l + 16. Let w = 5989 + -5985. What is w*g(b) + 3*n(b)? 2*b**2 + 2*b - 12 Let c(m) = 11 + 5*m + 19 - 27. Let n(l) = -3*l - 2. Let h = 9 - -6. Let r = h - 7. Determine r*n(g) + 5*c(g). g - 1 Let h(m) = -m**3 + 147*m**2 + 7*m + 8. Let d(a) = -2*a**2 + a - 2. Calculate 4*d(n) + h(n). -n**3 + 139*n**2 + 11*n Let y(q) = -8*q**2 + 4*q + 3. Let s(z) be the second derivative of -z**4/12 + z**3/6 + 2*z - 9037. Give 5*s(r) - y(r). 3*r**2 + r - 3 Let q(g) = 66*g**2 - 5. Let t(k) = -39039*k**2 + 1089*k - 264. Let a(f) = -429*f**2 + 12*f - 3. Let y(s) = 363*a(s) - 4*t(s). What is 33*q(x) - 5*y(x)? 33*x**2 Let b(n) = 29*n + 6. Let a(x) = -29*x - 6. Calculate 8*a(d) + 9*b(d). 29*d + 6 Let q(m) = 4*m**3 + 5*m**2 - 112*m - 7. Let y(u) = 6*u**3 + 9*u**2 - 227*u - 12. Give -5*q(w) + 3*y(w). -2*w**3 + 2*w**2 - 121*w - 1 Let v(n) = 5*n - 1. Let l(a) = 14*a - 3. Let q(g) = -3*l(g) + 8*v(g). Suppose -10*f = -0*f - 260. Let u(c) = -1 + 31*c + f*c - 56*c. Determine 5*q(t) + 7*u(t). -3*t - 2 Suppose b + 9 = 18. Suppose b*s = 5*s + 7*s. Suppose r + s*r + 5*o - 12 = 0, 3*r = -2*o + 62. Let g(f) = 9*f + 11. Let i(h) = h + 1. Calculate r*i(v) - 2*g(v). 4*v Let y(p) = -75*p**2 + 54*p + 13. Let c(w) = 27*w**2 - 19*w - 4. Give -17*c(j) - 6*y(j). -9*j**2 - j - 10 Let f(a) = -16*a**3 + 799*a**2 - 9*a - 18. Let v(u) = -7*u**3 + 399*u**2 - 4*u - 8. Determine -4*f(g) + 9*v(g). g**3 + 395*g**2 Let b(r) = 16*r + 7. Let i(y) = 16*y + 334 - 116 - 212. Calculate -3*b(l) + 4*i(l). 16*l + 3 Let z be (-64)/544 - 53/(-17). Let x(i) be the first derivative of z*i**2 - i - 2/3*i**3 - 10. Let y(g) = 6*g**2 - 17*g + 3. Determine -17*x(d) - 6*y(d). -2*d**2 - 1 Suppose 0 = -h - g - 274, 3*h + g + 946 = 122. Let v = h + 278. Let t(u) = -4*u + 2. Let x(s) = 5*s - 1 + 0*s - 2. What is v*t(r) + 2*x(r)? -2*r Let u(t) = 69*t**2 + 30*t - 11. Let m(w) = -65*w**2 - 30*w + 10. Give -12*m(b) - 11*u(b). 21*b**2 + 30*b + 1 Let d(b) = 4929*b**3 - 371*b + 371. Let q = -7457 + 7086. Let x(f) = -53*f**3 + 4*f - 4. Calculate q*x(y) - 4*d(y). -53*y**3 Let y(d) be the second derivative of -d**3/2 + 9*d**2/2 - 15*d. Let g be 14/42 + 38/(-6). Let t(p) = 2*p - 8. Calculate g*t(f) - 5*y(f). 3*f + 3 Let h(c) = 5*c + 120. Let f(d) be the first derivative of -3*d**2/2 - 80*d - 1662. Determine 8*f(y) + 5*h(y). y - 40 Let c(t) = 4*t**2 - 8*t. Suppose -5*s = -3*v, 3*v - v = -3*s - 19. Let f be (1 + 5)*(2*1 - 54/162). Let x(u) = u**2 - 3*u. What is f*x(g) + s*c(g)? -2*g**2 - 6*g Let b(t) = -4*t**2 + 7*t + 17. Let u(i) = -7*i**2 + 13*i + 35. Suppose 14*o - 150 = 39*o. Give o*u(p) + 11*b(p). -2*p**2 - p - 23 Let j(g) = 3*g**2 + g - 5. Let d be 10*((-36)/(-15))/(-3). Suppose 0 = 254*a - 257*a - 15. Let q(n) = -5*n**2 - 2*n + 7. What is a*q(s) + d*j(s)? s**2 + 2*s + 5 Let u(y) = 1. Let k be ((-2)/(-4))/((-1)/2). Let s(a) = -4*a + 7. Calculate k*s(j) + 6*u(j). 4*j - 1 Let c(h) = 46*h - 2. Let o(a) = -59*a + 598. Let f be o(10). Let u(z) = 31*z - 1. What is f*u(w) - 5*c(w)? 18*w + 2 Let x(p) be the second derivative of 19*p**3/3 + 2*p**2
{ "pile_set_name": "DM Mathematics" }
l. 2 Let b = -31 + 34. Solve -3*m = -15, -b*n + 10 = 2*n + m for n. 1 Let h be 3 + (-24)/6 + 6. Solve t = 5*t - h*s, 4 = s for t. 5 Let o(g) = g**2 - 4*g - 1. Let p be o(5). Solve -4*i + 14 = 3*c, 5*c + p*i - 23 + 5 = 0 for c. 2 Let v = -150 - -152. Solve 3*i - v + 0 = -2*u, -u + 1 = 0 for i. 0 Let b = 7 + -5. Let v = 2 - 1. Suppose 3 = 3*z, 4*z - z = -3*o + 18. Solve -h - 4*q + v = -b, -o*q = -5 for h. -1 Let w be 1/((-30)/(-14) + -2). Solve 4*l - 17 = -3*y + 3*l, -3*l + w = -2*y for y. 4 Suppose -15 = -5*r - 3*f, 3*r - 4*f - 5 = 4. Let p(t) = -3*t + 1. Let z be p(-3). Solve -5*j = o - 14, -3*j + 2*j + r*o = z for j. 2 Let w(d) = -d**3 + d**2 - d - d**2 + 2 - d**2. Let p be w(-2). Suppose -f - f + p = 0. Solve f*v = -5*r - 6, 5*v = -2*r - 15 - 1 for r. 2 Let k = 44 + -31. Let y = k - 11. Solve -2*w + 6 = d - 0*w, y*w - 18 = 2*d for d. -4 Let c = -9 - -13. Solve 5*j = -5*y - 10, -2*y - 3*j - c = -0*y for y. -2 Let t = 139 + -137. Solve -v = 4*p + 14, -t*v = 3*v + 3*p + 2 for v. 2 Suppose 3*n = -n + 4. Let j(z) = 4 - 9*z - 6 - 2*z - n. Let f be j(-2). Solve -4*w - 4*k = 36, 0*w - f = w + 3*k for w. -4 Suppose 12 = 218*z - 215*z. Let c(x) = 4*x - 8. Let u be c(6). Solve -5*h = f - 2, 3*h + 5*f = z*h - u for h. 1 Let b be 60/(-14) + 4/14. Let z(v) = v**2 - 3 + v + 0 - 3*v. Let r be z(b). Solve -9 = -5*m - w, 3*m + 5*w = 2*m + r for m. 1 Let x be 4 + (0 - 6/3). Solve -2*w = 2*z, 2 = -z - 3*w - x for z. 2 Let g be (-2 - -3 - 0)*16. Let i be (-46)/(-10) - 2/(-5). Suppose x - j = 5*x - 13, -i*x + 14 = -j. Solve g = -4*y, 0 = v - 0*y - x*y - 14 for v. 2 Let z be (0/1)/((-14)/(-7)). Solve z = -3*x - 2*y - 3, -3*x - 5*y = -y - 3 for x. -3 Suppose -5*l + 0*l = 0. Solve 3*z - q - q - 2 = 0, l = -4*z - 5*q - 5 for z. 0 Let h be 4/34 + 906/102. Solve 0 = 3*x + 3*t - 3, -x + 3*t = -h - 4 for x. 4 Let h(t) = -t**3 + 5*t**2 - 6*t + 3. Let d be h(2). Solve -d*a + 25 = -4*g + 2*a, 4*a = 20 for g. 0 Suppose -2*f + 5*h + 9 = -11, 3*f + 5*h - 5 = 0. Solve 3*k = -f*r + 5, 2*r + k - 1 = 1 for r. 1 Suppose 0 = -2*r - 13*l + 10*l + 28, -4*l = -5*r + 24. Solve -8*i + r = 4*w - 3*i, 2 = w - 3*i for w. 2 Let z be (-3)/(-2) - (-10)/20. Solve -5*h - 20 + 9 = 3*y, -7 = -5*y - z*h for y. 3 Suppose -6 = -5*w + 44. Solve 0 = -2*m + 2*n - w, -m = n - 5 + 4 for m. -2 Let g(y) = -y**2 + 4 - 1 + 4*y + 2*y**2. Let s be g(-2). Let j be (-12)/((-2 - -3)*s). Solve -m + 5*a + 10 = -6*m, 4*a + j = -2*m for m. 2 Let f be (-1 + -2)*8/(-6). Suppose -v + 14 = -j, -5*v - 4*j + 37 = -78. Let b = 6 + -4. Solve -s - 5*k = v, -b*k + 14 = -9*s + f*s for s. -4 Let n be ((-16)/(-12))/((-2)/(-3)). Solve 0 = 4*g - n*c + 4*c - 10, 4*c + 4 = 0 for g. 3 Let o be 4/12 + 10/6. Solve 0*y + o*c = -y - 8, 5*y - c + 7 = 0 for y. -2 Let n(w) = -3*w - 2. Let o be n(-1). Let y(d) be the second derivative of d**4/6 + d**2/2 - d. Let s be y(o). Solve -4*r + 3*c = 2*c + 25, 0 = s*r + 3*c for r. -5 Let y(p) = p**2 - 4*p + 2. Let w be y(4). Let g(q) = -2*q**2 - 15*q + 11. Let z be g(-8). Solve -3*u = -5*r, -z*r + w*r = 2*u for u. 0 Let j = 1 - -2. Suppose -1 = z - j. Solve -z*g + 6 + 1 = -3*x, -g = -2 for x. -1 Let y be (-24)/(-18)*1*3. Solve 4*t - 18 = 2*n, -3*t = -n - y*t for n. -3 Let j(d) = -5*d**2 + 7*d - 7. Let k(f) = f**2 - 1. Let v(t) = j(t) + 6*k(t). Let b be v(-9). Solve -b*g + 3*g + 3*r = 4, -5*g + 5*r = 5 for g. 1 Let p = 302 + -300. Let n(i) = i**2 + 7*i + 4. Let f be n(-4). Let d = 13 + f. Solve 5 = 2*m - d*y, -p*m - 4*y - 4 = -3*m for m. 0 Let n(u) = -6*u - 1. Suppose 0*m - 4*m - 16 = 0. Let d be (-2)/m + (-3)/2. Let z be n(d). Solve -o = 6*l - l + 10, -5*o - z*l - 10 = 0 for o. 0 Suppose 8 + 7 = 5*h - 2*k, -k = -2*h + 7. Let t be ((-3)/6 - h)*-2. Solve -t*x - 3*w = x - 5, 8 = x + 3*w for x. -1 Let g(d) = -d + 15. Let w be g(10). Solve r = 5*m - 2*m + 5, 1 = -
{ "pile_set_name": "DM Mathematics" }
alculate the remainder when (-3)/(-9) - 350/(-21) is divided by 7. 3 Let y = 88 + -60. What is the remainder when 109 is divided by y? 25 Let n = -23 - -76. Calculate the remainder when n is divided by 20. 13 Suppose 0 = -5*y - 4*r + 120, 4*r = -4*y + 20 + 80. What is the remainder when 31 is divided by y? 11 Let l(q) = q + 13. Let t = 3 + -3. Let a(d) = -d**2 + d + 38. What is the remainder when a(0) is divided by l(t)? 12 Suppose 4*y = -4*r + 16, -4*y = -y - 3. Suppose -44 = r*k - 7*k. Calculate the remainder when 31 is divided by k. 9 Let f(t) = 2*t**2 + 3*t + 2. Let y(u) = -9 - 6*u**2 - u - 12*u - u**2. Let l(x) = 9*f(x) + 2*y(x). Calculate the remainder when l(3) is divided by 20. 19 What is the remainder when 633/12 - (-1 - 3/(-4)) is divided by 14? 11 Suppose s = -3*a - 4, 3*s - 5*a - 44 = -0*s. Suppose s + 4 = 2*g. Suppose -p = 3*w - 25, -2*w = -p + g*p - 34. Calculate the remainder when 12 is divided by w. 5 Let t be (-8 + (-2)/(-1))/(-1). Let c be ((-8)/t)/((-2)/3). Suppose 4 + 20 = c*a. Calculate the remainder when 34 is divided by a. 10 Suppose 0 = 3*v - 2*v - 3. Suppose 0 = v*d - 0 - 24. What is the remainder when -2*591/(-78) - 4/26 is divided by d? 7 Let q(h) = -h**3 + 6*h**2 + 2*h - 7. Let g(r) = r - 2. Let x be g(8). Let w be q(x). Let u = w - -11. Calculate the remainder when u is divided by 6. 4 Suppose -2*x = -5*w - 565, 5*x + 3*w + 282 = 6*x. Suppose o = 6*o - x. What is the remainder when o is divided by 12? 9 Suppose 5*b - 50 = -4*d, 0*d - 2*d - 4*b + 22 = 0. Suppose -l + 35 = 6. Calculate the remainder when l is divided by d. 14 Suppose -15 = -c + 3. Calculate the remainder when 18 is divided by c. 0 Let p = -8 + 17. Let i = -36 + 62. Calculate the remainder when i is divided by p. 8 Let y(i) = 7*i**2 - 3. Let c be y(-2). Let k = 45 - c. What is the remainder when k is divided by 7? 6 Suppose 3*q - 4*z = 155, -q = -4*q - 3*z + 141. Suppose 4*j - 100 = -0*j. What is the remainder when q is divided by j? 24 Suppose 2*p + 4*l = 3*l + 8, 3*p + l - 13 = 0. Suppose -4*r = p*a - 7, -5*a + 3*r + 8 + 13 = 0. What is the remainder when a is divided by 1? 0 Suppose 5*x = -26 + 351. Calculate the remainder when x is divided by 18. 11 Suppose 2*x - 5*x = -30. Let t(r) = 2*r - 4. Let s = -4 + 9. Calculate the remainder when x is divided by t(s). 4 Suppose 3*d - 664 = d. Suppose 4*i + 40 - d = 0. What is the remainder when i is divided by 19? 16 Suppose -119 + 13 = -2*w. Let u(p) = -p + 10. Calculate the remainder when w is divided by u(-4). 11 Suppose 4*c - 139 = 169. Calculate the remainder when c is divided by 1/(-5) - (-303)/15. 17 Let u = -59 + 68. What is the remainder when 24 is divided by u? 6 Let o = 17 + -10. What is the remainder when (-2475)/(-100) - 10/(-8) is divided by o? 5 Let q = 118 + -63. Calculate the remainder when q is divided by 15. 10 Suppose 4*b + 100 = -0*c + 4*c, 0 = 5*c + 4*b - 98. What is the remainder when 107 is divided by c? 19 Let z be -24*(-5)/(30/32). Suppose z - 5 = 3*k. Suppose 2*j = -5*p + 76, -5*j - 1 = p - 30. What is the remainder when k is divided by p? 13 Calculate the remainder when 75/(-3)*(-2)/2 is divided by 9. 7 Let p = -5 + 26. Suppose -2*g = -2*y - 45 + 139, -g + 229 = 5*y. Suppose 3*n = -y + 169. What is the remainder when n is divided by p? 20 Let i(t) = -14*t - 3. What is the remainder when 32 is divided by i(-1)? 10 Let d = -23 + 76. What is the remainder when d is divided by 18? 17 Let f be 14/(-35) - (-367)/5. Let s = -18 + f. Calculate the remainder when s is divided by 29. 26 Suppose 72 = a + 3*a. Calculate the remainder when 36/(-162) + 562/a is divided by 16. 15 Let u = 5 - 3. Let v = 34 - 30. Calculate the remainder when v is divided by u. 0 Let m = -6 - -4. What is the remainder when m/7 + 65/7 is divided by 6? 3 Suppose 4*g + 5*f = 3*g + 77, -4*g + 5*f = -233. What is the remainder when g is divided by 21? 20 What is the remainder when 55 is divided by 2/6 + (-774)/(-27)? 26 Let x(j) = 11*j - 32. What is the remainder when x(13) is divided by 16? 15 Let j(m) = m**2 - 8*m + 8. Let u be (3/(-3))/((-2)/16). Let f be j(u). Let p = 27 - f. What is the remainder when 36 is divided by p? 17 Let l be (-10)/(-15) - (-4)/(-6). Suppose l = -7*m + 2*m + 15. Suppose 2*t = -3*r + 3*t + 25, -47 = -5*r + m*t. What is the remainder when 20 is divided by r? 6 Let f = -5 - -4. Let w = 16 + f. What is the remainder when 42 is divided by w? 12 Let i = 0 - 0. Let z be (-4)/26 - 3009/(-39). Suppose -s - 4 = -0*s, i = 5*c + 2*s - z. What is the remainder when c is divided by 9? 8 Suppose -7*o + 440 = 132. Calculate the remainder when 263 is divided by o. 43 Let p(g) = -g**3 - 4*g**2 + 8*g + 1. Suppose -r + 0 = -7. What is the remainder when p(-6) is divided by r? 4 Suppose 0 = i + 4 - 3. Suppose 0 = 3*x - 91 - 17. Calculate the remainder when x is divided by i/(((-12)/(-4))/(-39)). 10 Suppose 3*s - 31 = -4. What is the remainder when s is divided by 3? 0 Let g = -19 + 33. Calculate the remainder when g is divided by 3 - (2 - 0) - -7. 6 Let s be (2/(-6))/(3/9). Let u = s + 3. Suppose -3*k + 3*y = -4 - 23, -u*k = -y - 20. What is the remainder when 32 is divided by k? 10 Suppose 0*r + 4*r = 0. Suppose r*x + 5*x = 125. Suppose -4*s = -2*u - 5*s + 21, 3*u - 3*s - 54 = 0. Calculate the remainder when x is divided by u. 12 Let d = 12 + -10. Suppose -5 =
{ "pile_set_name": "DM Mathematics" }
**3 = 0. -3, -1, 0 Factor -3*u**3 - 198*u**2 + 6 - 12*u + 198*u**2 + 21*u. -3*(u - 2)*(u + 1)**2 Let b(l) be the first derivative of -1/15*l**3 + 3/25*l**5 + 29 - 2/15*l**6 + 13/20*l**4 - 2/5*l - 9/10*l**2. Let b(p) = 0. Calculate p. -1, -1/4, 1, 2 Suppose 4*a + 3*b - 50 = 6, -b - 21 = -a. Factor -11*x - 12 - 3*x**2 + 9*x + a*x. -3*(x - 4)*(x - 1) Factor 1/2*g**3 + 361/2*g + 0 + 19*g**2. g*(g + 19)**2/2 Let b be -14 - 288/(-40)*2. Determine g, given that 4/5*g**2 + 8/5 - 14/5*g + b*g**3 = 0. -4, 1 Factor 2*c + 16/17*c**4 + 8/17 + 44/17*c**3 + 56/17*c**2 + 2/17*c**5. 2*(c + 1)**4*(c + 4)/17 Factor -a**4 - 4*a**4 - 112*a**3 - 160*a**2 - 160*a + 62*a**3. -5*a*(a + 2)*(a + 4)**2 Let w(x) = -7*x**3 + 4*x**2 + 13*x + 12. Let a(t) = -3*t**3 + t**2 + 1. Let f(d) = -4*a(d) + 2*w(d). Factor f(l). -2*(l - 5)*(l + 1)*(l + 2) Factor -l**5 - 98*l - 54*l**3 + 10 - 7*l + 12*l**4 + 16 + 10 + 112*l**2. -(l - 4)*(l - 3)**2*(l - 1)**2 Factor -2205 + 5*b**2 - 210*b + 8*b**2 - 33*b**2 + 15*b**2. -5*(b + 21)**2 Let g(c) be the third derivative of 0*c**3 + 0*c - 1/40*c**6 + 0 + 1/168*c**7 - 15*c**2 - 11/240*c**5 + 1/16*c**4. Factor g(k). k*(k - 3)*(k + 1)*(5*k - 2)/4 Let c(t) be the first derivative of 140*t**3 - 424*t**2 + 16*t + 256. Determine y, given that c(y) = 0. 2/105, 2 Find t such that -4/3*t + 14/3*t**4 + 4/3*t**3 - 14/3*t**2 + 0 = 0. -1, -2/7, 0, 1 Suppose 2/9*v**2 - 2/3*v - 12 = 0. Calculate v. -6, 9 Let y(c) be the first derivative of -3*c**5/5 + 45*c**4/2 + 132*c**3 + 204*c**2 + 181. Find i such that y(i) = 0. -2, 0, 34 Let a(d) = d**2 + 3*d + 3. Let q be a(-3). Let f(w) = w**2 - 5*w + 6. Let x be f(1). Factor 2*t - q*t**x + 1 - 8*t + 8. -3*(t - 1)*(t + 3) Let m(u) be the first derivative of 2*u**5/45 - u**4/2 + 46*u**3/27 - u**2/3 - 8*u - 137. Factor m(w). 2*(w - 4)*(w - 3)**2*(w + 1)/9 Let p(r) = -r**3 + 14*r**2 - 15*r + 17. Let m be p(9). Let a = 869/3 - m. Factor a*d**2 + 8/3*d**3 + 0*d - 2*d**4 + 0. -2*d**2*(d - 2)*(3*d + 2)/3 Factor 23*w**5 + 9709*w**3 - 9809*w**3 - 28*w**4 + 9*w**5 - 44*w + 148*w**2 - 8. 4*(w - 1)**3*(w + 2)*(8*w + 1) Suppose 3*x - 12 = -x - y, -x = -4*y + 14. Suppose 4 = 2*g - 0. Suppose -18*u**x + 3*u + 12*u**3 - 3 - 5*u**4 + 9*u + g*u**4 = 0. What is u? 1 Suppose 0 = 3*h + 3*b - 15, 0 = -h + 2*b - 8 + 1. Let -3/2*p + h + 1/2*p**2 = 0. What is p? 1, 2 Solve -1/2*c**3 + 0 + 0*c + 1/2*c**2 = 0. 0, 1 Let h(y) be the second derivative of 0 + 2/39*y**4 + 7/39*y**3 - 2/13*y**2 + 17*y. Find k, given that h(k) = 0. -2, 1/4 Let -3/2*j**3 + 0*j**4 + 3/4 - 3/4*j**2 + 3/8*j**5 + 9/8*j = 0. What is j? -1, 1, 2 Suppose 2*t**4 + 8*t**4 + 384 - 5*t**4 - 640*t - t**4 - 60*t**3 - 665*t**2 + 977*t**2 = 0. What is t? 1, 4, 6 Let m(j) be the third derivative of -1/180*j**6 + 0 + 0*j - 5/36*j**4 - 2/9*j**3 - 2/45*j**5 + 18*j**2. Find k, given that m(k) = 0. -2, -1 Let y be (4/(-6))/((-11)/(-66)). Let s be y/(-28) - 5/(-14). Determine x so that 2*x**2 + 2*x**4 + 1/2*x + 3*x**3 + 0 + s*x**5 = 0. -1, 0 Let p be 104/(-676) - (-2 - (-75)/(-65)). Solve 0 - 1/8*t**5 - 1/8*t**p + 3/4*t**4 - 3*t**2 - 2*t = 0 for t. -1, 0, 4 Suppose -1645 = -9*p + 2*p. Let 13 + 11 + 23 - 260*o + 410*o**2 - 7 - p*o**3 + 45*o**4 = 0. Calculate o. 2/9, 1, 2 Let z = 5/3759 + 81440/3759. Factor 80*x + z*x**2 + 5/3*x**3 + 60. 5*(x + 1)*(x + 6)**2/3 Let b(r) be the second derivative of 0*r**2 + 9/16*r**5 - 3/8*r**3 - 1/2*r**4 + 15*r + 0 - 1/10*r**6. Suppose b(d) = 0. What is d? -1/4, 0, 1, 3 Let y(k) be the third derivative of 0*k**3 - 1/70*k**7 + 3/5*k**5 + 0*k + 0 + 0*k**6 - k**2 + 2*k**4. Factor y(d). -3*d*(d - 4)*(d + 2)**2 Suppose 35*v + 18 - 88 = 0. Let m(k) be the second derivative of 0 - 1/5*k**5 + 0*k**v + 1/24*k**4 + 2*k + 1/12*k**6 + 1/6*k**3. Let m(y) = 0. Calculate y. -2/5, 0, 1 Let w(n) be the third derivative of 0*
{ "pile_set_name": "DM Mathematics" }
b - 20/21*r**3 + 2*r. Let a(d) = 0. What is d? -2, -2/5, 1 Suppose 5*g + v = 176 - 53, 0 = 4*g + 4*v - 108. Solve -24*h**2 + g*h**2 + 2*h**4 + h**5 = 0. -2, 0 Let y(s) = -85*s**2 + 320*s + 255. Let b(d) = 3*d**2 + d + 3. Let f(c) = -30*b(c) - y(c). Factor f(w). -5*(w + 1)*(w + 69) Determine p, given that 9*p - 46/5 + 1/5*p**2 = 0. -46, 1 Let v(o) be the second derivative of -10/3*o**4 + 2/3*o**3 + 20/3*o**5 + 0 - 4*o - 1/15*o**2. Factor v(t). 2*(10*t - 1)**3/15 Solve -75 - 3/7*s**3 - 51/7*s**2 - 285/7*s = 0. -7, -5 Let k(y) = y - 17. Let p be k(14). Let v be (p/(-6))/(2/(-64)*-4). Determine m, given that 2*m**2 - m - 3/2 - 1/2*m**v + m**3 = 0. -1, 1, 3 Let -74*c + 57*c**2 - 173*c**2 + 50*c**2 + 56*c**2 - 28 = 0. What is c? -7, -2/5 Let w(c) be the third derivative of c**7/945 - c**6/60 + c**5/10 - c**4/4 + 160*c**2. Determine k so that w(k) = 0. 0, 3 Suppose -3*d + 257 = 5*t, -4*t + 9*d - 4*d = -176. Suppose 60*w**4 - t*w**2 - 148*w**3 - w - 8 - 35*w - 24*w**3 + 205*w**2 = 0. Calculate w. -2/15, 1 Let s(o) be the first derivative of -o**6/72 - 7*o**5/30 + o**4/48 + 7*o**3/18 - 75. Find u such that s(u) = 0. -14, -1, 0, 1 Suppose -4*z = 4*o - 472, -4*o + 607 = -2*z + 147. Let q = o + -111. Suppose -1/3 + 1/3*s - 1/3*s**4 + 2/3*s**2 + 1/3*s**q - 2/3*s**3 = 0. Calculate s. -1, 1 Let g(m) be the third derivative of -m**6/80 - m**5/5 - 7*m**4/16 + 4*m**2. Solve g(y) = 0. -7, -1, 0 Let f(c) = -c**4 + 6*c**3 + 8*c**2 + 12*c - 16. Let t(z) = z**3 + 2*z. Let j(i) = -f(i) + 6*t(i). Let j(n) = 0. Calculate n. -2, 2 Let l = -4 + 13. Let j = l - -37. Factor -32*f - 18*f**2 - 12*f**3 - 16 + j*f**2 + 16*f**2. -4*(f - 2)**2*(3*f + 1) Let s(a) = 3*a - 11. Let u be s(5). Find g, given that 32*g**2 + 0*g**3 - 8*g - 36*g**u + 12*g**3 - 8*g = 0. -1, 0, 2/3 Let k(x) be the first derivative of x**4/4 + 8*x**3 + 72*x**2 - 296. Find o such that k(o) = 0. -12, 0 Suppose 0 = -10*o - 3*o + 104. Suppose o = -x - x - 4*w, 0 = x - 5*w - 17. Factor -7/6*q**x - 5/6*q + 1/3. -(q + 1)*(7*q - 2)/6 Find k such that -k**3 - 2*k**4 + 2*k**2 - 1/2*k**5 + 3/2*k + 0 = 0. -3, -1, 0, 1 Let g be (3/1)/(7/189). Factor -54*y**2 - 178*y**4 + g - y**3 - 23*y**3 + 175*y**4. -3*(y - 1)*(y + 3)**3 Let j(b) = 7*b**2 - 63*b + 186. Let l(d) = 155*d**2 - 1385*d + 4095. Let y(m) = 45*j(m) - 2*l(m). Find w, given that y(w) = 0. 4, 9 Let k(d) = -2*d**2 + 50*d - 4. Let t(g) = g + 1. Let v(p) = -k(p) - 4*t(p). Factor v(q). 2*q*(q - 27) Factor -25/4*t**2 + 45/4 - 5/4*t**3 - 15/4*t. -5*(t - 1)*(t + 3)**2/4 Let u(a) be the third derivative of 21/32*a**4 + 0*a + 17*a**2 + 3/4*a**5 + 0 + 5/32*a**6 + 1/4*a**3. Solve u(r) = 0 for r. -2, -1/5 Let h = 61 - 58. Suppose -2*k + v - 5 = 2*v, -3*k - 15 = h*v. Factor -2/5*z**3 - 1/5*z**4 + 1/5 + k*z**2 + 2/5*z. -(z - 1)*(z + 1)**3/5 Let p be ((-3)/(90/4))/((-60)/1675). Let s = p + 43/9. Let -s*z - 3 - 5/2*z**2 = 0. Calculate z. -3, -2/5 Let 58*h - 10*h**3 + h**5 - 144 + 62*h - 3*h**4 + 47*h**2 - 11*h**3 + 0*h = 0. Calculate h. -3, 1, 4 Let z(w) be the third derivative of w**5/20 - 7*w**4/8 - 15*w**3 - 3*w**2 - 32. Factor z(t). 3*(t - 10)*(t + 3) Factor 0 - 164/7*n**2 + 2/7*n**3 + 162/7*n. 2*n*(n - 81)*(n - 1)/7 Let c = 43 + -39. Let u be c/40*(-225)/(-10). Solve 3/2*z + 0 + u*z**2 = 0 for z. -2/3, 0 Factor -34/5 - 2/5*a**2 + 36/5*a. -2*(a - 17)*(a - 1)/5 Let m be (-54)/(-1) + (-4 - 0). Let h = m + -48. Solve -19/3*a**3 + 2/3*a - 29*a**4 + 7/3*a**h + 0 - 21*a**5 = 0 for a. -1, -1/3, 0, 2/7 Let c(u) be the second derivative of u**4/42 + 8*u**3/7 - 25*u**2/7 - 135*u. Let c(p) = 0. Calculate p. -25, 1 Let n(x) be the first derivative of -x**3/18 + x**2/3 - x/2 - 78. Find w such that n(w) = 0. 1, 3 Let z(j) be the first derivative of j**5/10 + 11*j**4/8 + 5*j**3/3 + 109. Factor z(r). r**2*(r + 1)*(r + 10)/2 Let t(j) be the third derivative
{ "pile_set_name": "DM Mathematics" }
4 Suppose 3*a + 6 = 3. Let j = a - -56. Calculate the remainder when j is divided by 19. 17 Suppose 3*n - 2 - 7 = 0. Let h(c) = -3*c - 4. Let m be h(3). Let y = -3 - m. What is the remainder when y is divided by n? 1 Let a = -6 - -8. Suppose 3*x + a = 8. Suppose x*o - 99 = -o. Calculate the remainder when o is divided by 17. 16 Let n = -25 - -24. Let l(s) be the second derivative of -2*s**5/5 + s**3/6 - s. Calculate the remainder when l(n) is divided by 2. 1 Let y = 5 + -8. What is the remainder when -1*(y + 4 - 32) is divided by 11? 9 Suppose -2 - 1 = -3*w. Suppose -4*x + w = 3*k - 14, -x = 4*k - 33. Let c(g) = -g**3 - 6*g**2 + 6*g + 10. What is the remainder when c(-7) is divided by k? 8 Suppose 2*n - 54 = -2*u, n + 2*n - 75 = -u. What is the remainder when 91 is divided by n? 19 Let p = -124 - -143. What is the remainder when p is divided by 3? 1 Suppose -12*y = -5*y - 154. Calculate the remainder when 42 is divided by y. 20 Let x = 13 + -8. Let r = 205 - 196. Calculate the remainder when 2/x + 156/10 is divided by r. 7 Suppose -p + 7 = -2*y - 2*y, 6 = p - 3*y. Let o = 4 + p. Calculate the remainder when 11 is divided by o. 4 Let j(u) = -u**3 - u**2 + u + 63. What is the remainder when j(0) is divided by 13? 11 Let d be -4*((-28)/8 - -1). Let a(b) = b**3 - 11*b**2 + 11*b + 1. What is the remainder when 43 is divided by a(d)? 10 Suppose -2*g = 2*g - 5*z - 45, -z = 3*g - 10. What is the remainder when 17 is divided by g? 2 Suppose -10 = 3*c - 4*c. Calculate the remainder when 18 is divided by 5/(c/(-4)) - -12. 8 Suppose o + 3*o - 336 = -4*s, 0 = 2*s + 5*o - 153. Calculate the remainder when s is divided by 6. 5 Let z = -34 + 50. Calculate the remainder when 30 is divided by z. 14 Let x = -8 - -24. Suppose u = -0*u + 3*l - 9, 5*u - 40 = -2*l. Calculate the remainder when x is divided by u. 4 Let l = -2 - -6. Suppose p = l*u + 37, 22 = p - 5*u - 15. Calculate the remainder when p is divided by 20. 17 Let v(r) = r + 14. Suppose q + 0*x = -4*x - 20, q = 2*x + 10. Suppose 0 = 3*g - 10 - 5. What is the remainder when v(q) is divided by g? 4 Suppose -24 = 3*d - 11*d. Calculate the remainder when d is divided by 1. 0 Let f be (188/8)/((-1)/(-2)). Suppose l - f = -9. Calculate the remainder when l is divided by 10. 8 Let m(y) = -y + 2. Let t be m(0). Suppose -3*w = t*w - 55. What is the remainder when 19 is divided by w? 8 Suppose -10*u + 107 + 63 = 0. Calculate the remainder when 48 is divided by u. 14 Suppose 3*a - 28 = a. Calculate the remainder when a is divided by 8. 6 Let v = -15 - -17. What is the remainder when 4 is divided by v? 0 Let d(r) = -7 - 3 - 4*r + 4. Let n = -5 - -17. What is the remainder when d(-7) is divided by n? 10 Suppose v + 4*a + 9 = 0, 3*v + 0*v - 2*a = -97. Let d = 42 + v. Calculate the remainder when 23 is divided by d. 10 Let d(z) = 3*z**2 + 2*z + 5. What is the remainder when d(-4) is divided by (24/15 + -2)*-30? 9 Let k(i) = 3*i + 4. Let x be k(4). Let g be (-2)/(-1 + 2) - 34. Let a = x - g. What is the remainder when a is divided by 18? 16 Suppose 0 = z - 13. Let a(j) = j**2 - j + 2. What is the remainder when z is divided by a(3)? 5 What is the remainder when (2/(-2) + 1 - -224) + -1 is divided by 25? 23 Suppose 4*q + 10 = 9*q. Suppose l + 5*r = 0, 0 = -l + 4*l - 3*r. Let k = l + q. What is the remainder when 3 is divided by k? 1 Let r = 12 - 9. Suppose -3*j - r*j = -156. Calculate the remainder when j is divided by 7. 5 Let h = 0 - -23. Let a(j) = 0*j + j - 3*j. What is the remainder when h is divided by a(-6)? 11 Let m = 31 + 2. Let y = -51 + 29. Let n = y + m. What is the remainder when 32 is divided by n? 10 Suppose 0*t - 712 = -4*t. Suppose 0 = 5*c + t - 33. Let j = c - -62. Calculate the remainder when j is divided by 17. 16 Suppose -24 = -2*i + 2*x, 3*x + 6 = x. Suppose l + 5*z + 10 = -5, 3*l = z + 19. What is the remainder when i is divided by l? 4 Suppose 4*n + 2 = 14. Suppose -5*t + 8*z - n*z = -260, -3*t + 176 = 2*z. Let u = -48 + 67. What is the remainder when t is divided by u? 18 Let o(a) = a - 1. Let q be o(6). Suppose -47 = -2*n - q*w, -3*n - 3*w + 2*w = -64. What is the remainder when 82 is divided by n? 19 Suppose 3*z - 10 = 5*z. Let j(a) = -a**3 - 3*a**2 - a - 3. What is the remainder when j(z) is divided by 18? 16 Let k(x) = -x - 9. Let v be k(-13). Suppose 7*t - v*t = 126. Calculate the remainder when t is divided by 11. 9 Let w(x) = x**2 - 7. Let n be w(-3). Suppose -5*a - 4 - 18 = g, -a - 5*g = 14. What is the remainder when 3 is divided by (-2)/4*a/n? 0 Suppose 2 + 6 = -x. Let c(v) = -2*v - 12. Suppose 0 = 4*w + 4 - 44. Calculate the remainder when w is divided by c(x). 2 Suppose -3*s = -0*s - 33. Let h = s + -6. What is the remainder when 9 is divided by h? 4 Suppose 4*m + 2*t - 1 = -3, -3*m - 3*t = 6. What is the remainder when 4 is divided by m? 0 Suppose -50 = 3*l + 10. Let w = 45 + l. What is the remainder when 21 is divided by 62/5 + (-10)/w? 9 Let d be (-41)/6 - 3/18. Let z = 26 + d. Let y = -30 - -86. Calculate the remainder when y is divided by z. 18 What is the remainder when 50 is divided by -1*(-1 + 4) - -21? 14 Let g = -18 + 33. Calculate the remainder when 74 is divided by g. 14 Let u be (-2)/4*0/5. What is the remainder when 20 + (u - 3 - 0) is divided by 9? 8 Let z
{ "pile_set_name": "DM Mathematics" }
204)*-1 + sqrt(204) - sqrt(204) - sqrt(204))*6 + sqrt(204) - 2*sqrt(204)*4)/(sqrt(12) - (2*sqrt(96))/sqrt(8) - -1*sqrt(300)). -19*sqrt(17)/4 + 5 Simplify (((sqrt(2299) + sqrt(2299) + 0 + sqrt(2299))*-1 + -4 + -5 + ((sqrt(2299) + -1)*-6 - (sqrt(2299) - (-1 + sqrt(2299) + -4)))*-4)*-5)**2. -150150*sqrt(19) + 25350700 Simplify (sqrt(2299) - sqrt(2299)*1)**2 + -3 + sqrt(2299)*1*-4 + ((sqrt(2299) - (sqrt(2299) + 0))*-5 + 4)**2 + 4. -44*sqrt(19) + 17 Simplify (sqrt(176) + sqrt(176) + -2 + -5 + (sqrt(176) - (3*sqrt(176)*6 + sqrt(176))))**2 - 6*6*(5*(1 + sqrt(11)) + sqrt(11)). 680*sqrt(11) + 44925 Simplify (-5 + -6*(-4 + 2 + sqrt(112) + 1 + sqrt(112) - (4*(0 + sqrt(112) + sqrt(112)) - (sqrt(112) + (4 + sqrt(112) + 1 - sqrt(112)) + sqrt(112)))))**2. -5568*sqrt(7) + 65353 Simplify ((-1 + (sqrt(112)/sqrt(2)*1)/(3*sqrt(128)) + 2)*5)**2. 25*sqrt(7)/6 + 3775/144 Simplify (-1*(4 + (1*(sqrt(2736) + 0) - (sqrt(2736) + (2 + sqrt(2736) + sqrt(2736))*3 + sqrt(2736)))))**2*2*-1. -268136 - 672*sqrt(19) Simplify ((-4 + 1 + sqrt(1700) + sqrt(1700) + sqrt(1700) - (sqrt(1700) + 1)*-5) + (3*-3*sqrt(1700) - (sqrt(1700)*-3 + 5)))**2. -120*sqrt(17) + 6809 Simplify -4*((2*(sqrt(891)*-1 + -5 - 5*-1*sqrt(891)))**2 + -5). -228476 + 5760*sqrt(11) Simplify (sqrt(54)/(sqrt(24) + sqrt(6)))/(sqrt(3) + sqrt(243)*-1) + -2*2*((sqrt(3) + -1)**2 + 1). -20 + 191*sqrt(3)/24 Simplify (0 + 3 + (sqrt(108) - (1 + sqrt(108))) + 1 + 0 + -2)**2 + 5 + 4. 10 Simplify -5*3*(1 + -1 + sqrt(200))**2 - (3 + (sqrt(264)/(sqrt(11) - sqrt(11)*2))/(sqrt(12) - (sqrt(12) - sqrt(108)*3))). -3003 + sqrt(2)/9 Simplify ((-4 + 0 + (1 + sqrt(539) - sqrt(539)) + 0 + 6*(-2 + 2*sqrt(539) - (-1 + sqrt(539))*-3))*5)**2. -346500*sqrt(11) + 12154725 Simplify ((-4 + 3*2*-5*(-1 + sqrt(200) + -1)*4)*-2)**2. -2265600*sqrt(2) + 11742784 Simplify -5 + (-1*(sqrt(76) - (sqrt(76) - (0 + sqrt(76))) - sqrt(76))**2 + 5 + (2 + -2*sqrt(76) - ((sqrt(76) + (-1 + sqrt(76) - sqrt(76)))*4 + sqrt(76))))*-5. -60 + 70*sqrt(19) Simplify 0 + (-6*(sqrt(637) + -2 - sqrt(637))**2 + (-3 + sqrt(637) + sqrt(637) + 1)**2)*5*1*-6. -75840 + 1680*sqrt(13) Simplify (1*(5 + 5 + (sqrt(19)*1*-1 - sqrt(19))) - -2*(3*2*sqrt(19) + sqrt(19) + sqrt(931) + (sqrt(931) - 2*sqrt(931)) + sqrt(931))*1)**2. 520*sqrt(19) + 12944 Simplify ((sqrt(275) + -5 + -1*sqrt(275))**2*2 + (4*sqrt(275)*1*2)**2)*-2 + -4. -35304 Simplify (2*sqrt(500) + 0 - (sqrt(5) + sqrt(55)/(sqrt(33)/sqrt(3)) + -2)) + sqrt(30)/((sqrt(72)/sqrt(6))/sqrt(2) + sqrt(6)) + 1 + 0. 3 + 37*sqrt(5)/2 Simplify ((sqrt(144)*1 + sqrt(36) + sqrt(36) - (sqrt(5184) + (-2*sqrt(5184) - sqrt(5184))))*4)/(sqrt(768) + (sqrt(768) - 2*sqrt(768)*-6) - -2*sqrt(768)*1). 7*sqrt(3)/8 Simplify (sqrt(504) + 1*sqrt(504))/(2*sqrt(847) + sqrt(847) + sqrt(847)) + (1 + 3*2*-3*sqrt(162))**2. -3561*sqrt(2)/11 + 52489 Simplify ((-3 + sqrt(125) + (0 + sqrt(125) - sqrt(125)))*-3 + 5 - (-1*sqrt(125) + -2 + (sqrt(125) + -1 + sqrt(125) - sqrt(125))*4 + 4))**2. -960*sqrt(5) + 4756 Simplify (3*sqrt(80)*2 + sqrt(80) + sqrt(80) - sqrt(80)*-2*-1)**2 - 1*(5 + sqrt(80) + 1*sqrt(80) + -2*(sqrt(80) + 1))**2. 2871 Simplify 3 + (5*(-1 + -1*sqrt(75)) - (sqrt(75)*-1 + 0)*6)**2 + 3. -50*sqrt(3) + 106 Simplify (sqrt(196) + sqrt(196) + sqrt(196)*1 - (sqrt(4) + sqrt(12)/(-1*sqrt(3) - sqrt(3))))/(sqrt(32) - sqrt(128)/sqrt(4) - sqrt(8))*1. -41*sqrt(2)/4 Simplify (0 + -1*1*sqrt(242)*-2 + (1 + sqrt(242) - sqrt(242)) + -2 + sqrt(242) + -2 + -4)**2. -462*sqrt(2) + 2227 Simplify (-1 + sqrt(833)*2 + -1*-3*sqrt(833) + -6*sqrt(833)*-1*5*-6)**2*-5. -127553130 - 12250*sqrt(17) Simplify (sqrt(209) + 1*sqrt(209)*-5 - (-6*(sqrt(209) + (sqrt(209)*-3 - sqrt(209))) - sqrt(209)))/(-1*sqrt(704)*2 - -2*sqrt(704)*-1) + -3. -3 + 21*sqrt(19)/32 Simplify (((1*sqrt(6480))/(1*sqrt(9)*2) + -5*sqrt(315)/(sqrt(7)*-2 - sqrt(7)))**2 + 5)*1. 610 Simplify (((sqrt(17) + 1)*1)**2*2 - (0 + ((1*sqrt(833))**2 - sqrt(833)))) + ((1*sqrt(119) - sqrt(119))*-2)/(sqrt(42)/sqrt(6)*-4). -797 + 11*sqrt(17) Simplify (-6*((sqrt(408) + sqrt(408) + 2*sqrt(408) + sqrt(408))*-3 + sqrt(408))/((1*sqrt(64) + sqrt(64))/sqrt(8)))/(6*sqrt(300)*2*3*-5). -7*sqrt(17)/300 Simplify ((3 + sqrt(1573) + -1 + 2 + 2*sqrt(1573) + sqrt(1573) + 3 - (2 + 3*-3*sqrt(1573))*-2) + 1)**2. -3696*sqrt(13) + 308452 Simplify 3*(sqrt(22) - -1*(sqrt(22) + sqrt(88)))/sqrt(11) + (sqrt(40)/(sqrt(6)/sqrt(3) + sqrt(2) - sqrt(2)) - sqrt(20))/(-2*sqrt(10)*-3).
{ "pile_set_name": "DM Mathematics" }
*h - 5*f + 655 = 0, 5*h = -3*f - 379 + 1040. Let r = h + u. Is r prime? True Suppose 0 = a + 4*a + 15. Is 27/6*(-34)/a composite? True Suppose 10 = 3*l - 4*a - 1, 4*l + 2*a = 0. Let f(x) = 2*x**3 - 6*x**2 + 2*x - 3. Let t be f(4). Let k = l + t. Is k prime? False Let a be (32/(-40))/((-4)/50). Suppose 0 = 15*g - a*g - 485. Is g a prime number? True Let p(c) = 6*c**3 + c**2 + c - 1. Is p(1) a prime number? True Suppose s = -0*s + 1. Is (s - 2) + 1 - -55 prime? False Suppose 0 = -j - 2*j + 57. Let a be -1*(1 - 2*j). Let l = -16 + a. Is l prime? False Suppose -2*i - 50 + 288 = 0. Is i composite? True Suppose -6*q + 3*q = -183. Suppose 2*d - q = -2*x + 3*d, 0 = 5*d - 5. Is x a prime number? True Let p = 14 - -9. Let u = p + -12. Is u a prime number? True Let s be 2/(2/4 - 0). Suppose -p - s*p + 265 = 0. Is p prime? True Suppose -2*u - 322 = -4*f, f - 3*f = 5*u - 167. Let m = f + -128. Let x = m - -82. Is x a composite number? True Let c(k) = k**3 + 5*k**2 + k + 10. Let o be ((-55)/22)/(1/(-2)). Is c(o) a composite number? True Let v = 11 + -5. Suppose 2*u = -3*k + 853, -v*k - 15 = -k. Is u prime? True Let h = -48 - -85. Is h prime? True Let t = 0 - -2. Suppose 34 = t*i - 0*i. Is 1*(-15)/(-3)*i prime? False Let h be (-192)/(-9)*(-9)/(-4). Suppose 5*a = 47 + h. Is a prime? True Let d(r) = 17*r**3 - 7*r**2 + 4*r - 6. Let c be d(5). Suppose 4*v - 2*m - c = 2*m, -3*m = v - 475. Is v composite? False Suppose 0 = h + 4*h - 45. Suppose -5*j - 1780 = -h*j. Is j prime? False Let z(i) = 4*i - 1. Let p be z(-5). Let t = p - -52. Is t prime? True Suppose 0*j + 4*j = -220. Let d be 31/11 - 10/j. Suppose -d*o + 59 = 2*h - 0*o, 0 = -4*o - 20. Is h composite? False Let h(f) = -f**3 + 13*f**2 + 16*f + 8. Let o(p) = p**3 - 14*p**2 - 17*p - 9. Let d(a) = 6*h(a) + 5*o(a). Is d(8) a composite number? True Let f(q) = 0 + 21*q - q - 4 - 2. Let j be f(6). Is (-1)/(-1 + j/117) prime? False Suppose -2*f + 7 = -3. Suppose -5*u - 171 = -3*a + f*a, a = -2*u - 69. Let s = 66 + u. Is s a prime number? False Suppose 0 = -5*c - 4*u + 1985 - 326, -662 = -2*c - 2*u. Let a = -238 + c. Is a prime? True Let j be (-2 - -3) + -1 + -1. Let n = j - 2. Let s = 6 + n. Is s prime? True Let c = -241 + 342. Let w = -12 + c. Is w a composite number? False Let y be 6/14 - 570/105. Let p(d) = -d**3 + 6*d**2 + d - 8. Let l be p(6). Is (-6 - y) + (-316)/l prime? True Suppose -2*x - g = -0*x - 395, -g + 594 = 3*x. Is x a composite number? False Suppose 0 = -5*l - k - 16098, -9651 = 3*l - 5*k + 3*k. Let s = l + 1625. Is s/(-6) + 6/(-9) a composite number? True Let o(c) = -c**3 + 10*c**2 - 8*c + 2. Let a = -5 - -5. Suppose a = -f - f + 18. Is o(f) a composite number? False Let h = -7 + 8. Is h*215 + (-12 - -8) composite? False Let h = -1762 + 3015. Is h a prime number? False Let n(t) = t**3 - t**2 - t. Let a be n(2). Suppose a*x + 6 - 22 = 0. Let f(m) = 7*m - 1. Is f(x) a composite number? True Let k(a) = -a**3 + 2*a**2 + 2*a + 1. Let g be k(3). Let m be (-984)/(-26) - g/13. Let v = m + -5. Is v a prime number? False Let z = -7 + 12. Suppose w = 6*w + z. Is w*(-3)/((-6)/(-194)) a composite number? False Let u(v) = v**3 - 10*v**2 + 5*v + 2. Let q be u(10). Suppose q = h + h. Is h composite? True Let a(q) = -6*q**3 - 4*q**2 - 3*q - 1. Suppose -2*p = 3*k - 75, -50 = 4*k - 6*k - 4*p. Let g be (-55)/k - (-2)/10. Is a(g) a prime number? True Let t be -12*(1/(-2) - -1). Let z = -8 - -27. Is z*(t + 3)/(-3) a prime number? True Let u be 2*(-2 - (-171)/6). Suppose 4*z - 5*z = -u. Suppose -z - 9 = -2*w. Is w a composite number? False Let u = 56 + -31. Is 7/((-105)/(-6))*u a prime number? False Suppose 5*w + 0*w - 80 = 0. Is (117 + -1)*8/w composite? True Suppose 4*j - 3 = 3*j. Let p(c) = c**2 + 4 + 4*c + 1 - 2 - j*c**3. Is p(-2) a prime number? True Let v = -427 - -1172. Suppose -5*z - g = -1615, -4*z - 2*g + 547 = -v. Is z composite? True Suppose 2*x - 28 = -2*x. Let t = -14 + x. Let m = t - -14. Is m composite? False Suppose -v + 5*a + 9 = 0, 0 = v - 2*a + 4*a - 2. Let z = v + 21. Is z prime? False Suppose -2*k + 4 = -0*k. Suppose -k*y + 30 = -y. Is 205/y - (-1)/6 composite? False Let z = 33 - 13. Let i = -14 + z. Is i composite? True Is (-9)/(-21) + 928/7 a composite number? True Let m = -15 + 80. Is m composite? True Is -11463*(-3)/18*2 composite? False Suppose -3*j + 20971 - 6862 = 0. Is j composite? False Let x(b) = -b**2 - 9*b + 12. Let f be x(-10). Is f*1*1143/18 composite? False Suppose 0 = -a + 3, k - 4*k + 117 = 4*a. Is k
{ "pile_set_name": "DM Mathematics" }
10*o**3 + 2*o**2 - o + 1 What is the o'th term of 2185, 2203, 2245, 2323, 2449, 2635, 2893? 2*o**3 + 4*o + 2179 What is the b'th term of -177, -628, -1343, -2316, -3541? b**3 - 138*b**2 - 44*b + 4 What is the h'th term of 660, 1329, 1998, 2667, 3336, 4005? 669*h - 9 What is the w'th term of -136, -227, -290, -325, -332, -311? 14*w**2 - 133*w - 17 What is the q'th term of -1179, -2127, -2851, -3351, -3627, -3679? 112*q**2 - 1284*q - 7 What is the r'th term of 3140, 3087, 3000, 2879? -17*r**2 - 2*r + 3159 What is the y'th term of 502, 8, -806, -1946, -3418, -5228? -y**3 - 154*y**2 - 25*y + 682 What is the a'th term of 12, 74, 220, 486, 908? 6*a**3 + 6*a**2 + 2*a - 2 What is the u'th term of -9796, -19619, -29436, -39247, -49052? 3*u**2 - 9832*u + 33 What is the g'th term of 34806, 34808, 34810, 34812? 2*g + 34804 What is the z'th term of 1408228, 1408224, 1408220, 1408216, 1408212? -4*z + 1408232 What is the f'th term of 564, 473, 382, 291, 200? -91*f + 655 What is the n'th term of -183, -692, -1537, -2730, -4283, -6208, -8517, -11222? -2*n**3 - 156*n**2 - 27*n + 2 What is the g'th term of -199, -455, -883, -1483? -86*g**2 + 2*g - 115 What is the u'th term of -762, -1523, -2280, -3033? 2*u**2 - 767*u + 3 What is the c'th term of 8686, 8696, 8704, 8710, 8714? -c**2 + 13*c + 8674 What is the k'th term of 2020, 2056, 2102, 2158, 2224, 2300? 5*k**2 + 21*k + 1994 What is the l'th term of -143, -312, -481? -169*l + 26 What is the p'th term of 117, 132, 47, -138, -423, -808, -1293? -50*p**2 + 165*p + 2 What is the l'th term of 118274, 118266, 118258? -8*l + 118282 What is the d'th term of 26504, 26340, 25890, 25010, 23556, 21384, 18350, 14310? -24*d**3 + d**2 + d + 26526 What is the q'th term of 261, 424, 545, 624? -21*q**2 + 226*q + 56 What is the m'th term of 1405, 1106, 281, -1334, -4003, -7990? -44*m**3 + m**2 + 6*m + 1442 What is the z'th term of -3627, -3591, -3541, -3471, -3375, -3247, -3081, -2871? z**3 + z**2 + 26*z - 3655 What is the j'th term of -199528, -199537, -199560, -199603, -199672, -199773? -j**3 - j**2 + j - 199527 What is the x'th term of -28, -61, -82, -85, -64, -13? x**3 - 40*x + 11 What is the u'th term of -563, -1694, -3587, -6248, -9683, -13898, -18899, -24692? -u**3 - 375*u**2 + u - 188 What is the s'th term of -674, -793, -982, -1241, -1570? -35*s**2 - 14*s - 625 What is the w'th term of -2236, -4455, -6674, -8893, -11112, -13331? -2219*w - 17 What is the b'th term of -37, 5, 43, 77, 107? -2*b**2 + 48*b - 83 What is the t'th term of 10587, 9884, 9181? -703*t + 11290 What is the d'th term of -4687, -9377, -14067, -18757, -23447, -28137? -4690*d + 3 What is the o'th term of 1871, 7465, 16789, 29843, 46627, 67141, 91385? 1865*o**2 - o + 7 What is the b'th term of 2111, 4202, 6289, 8372, 10451, 12526, 14597? -2*b**2 + 2097*b + 16 What is the x'th term of -15, 53, 121, 189, 257, 325? 68*x - 83 What is the m'th term of 995, 1099, 1259, 1475, 1747? 28*m**2 + 20*m + 947 What is the u'th term of 7150, 7148, 7146, 7144, 7142? -2*u + 7152 What is the s'th term of 444, 215, -14? -229*s + 673 What is the y'th term of 21, -2, -53, -132, -239? -14*y**2 + 19*y + 16 What is the i'th term of 193, 237, 277, 313, 345, 373, 397? -2*i**2 + 50*i + 145 What is the y'th term of -3867, -7770, -11673, -15576, -19479? -3903*y + 36 What is the p'th term of -1976, -2912, -3848, -4784, -5720, -6656? -936*p - 1040 What is the h'th term of 15629, 31260, 46891, 62522? 15631*h - 2 What is the r'th term of -171962, -171964, -171966, -171968? -2*r - 171960 What is the i'th term of 42571, 42578, 42589, 42604? 2*i**2 + i + 42568 What is the t'th term of 7654, 30516, 68628, 121996, 190626? t**3 + 7619*t**2 - 2*t + 36 What is the b'th term of 64524, 64528, 64530, 64530, 64528, 64524, 64518? -b**2 + 7*b + 64518 What is the q'th term of 6793, 13522, 20141, 26596, 32833? -9*q**3 - q**2 + 6795*q + 8 What is the l'th term of -66, -107, -152, -189, -206, -191, -132, -17? 2*l**3 - 14*l**2 - 13*l - 41 What is the d'th term of -15968, -15963, -15956, -15947, -15936? d**2 + 2*d - 15971 What is the w'th term of 180, 1347, 4472, 10533, 20508, 35375, 56112, 83697? 163*w**3 + w**2 + 23*w - 7 What is the h'th term of 5145, 10309, 15473, 20637, 25801? 5164*h - 19 What is the u'th term of -30, 212, 956, 2454, 4958, 8720,
{ "pile_set_name": "DM Mathematics" }
there in twenty-nine fifths of a microgram? 5800 How many kilometers are there in 320.121mm? 0.000320121 Convert 4.3828 litres to millilitres. 4382.8 Convert 26.13088 millennia to decades. 2613.088 How many hours are there in 7/8 of a week? 147 What is 0.6647423 centuries in months? 797.69076 What is 1/36 of a hour in milliseconds? 100000 How many micrograms are there in 3/50 of a gram? 60000 Convert 9884.879 nanoseconds to seconds. 0.000009884879 How many decades are there in one tenth of a millennium? 10 What is three eighths of a meter in millimeters? 375 Convert 3.3643ng to micrograms. 0.0033643 How many micrometers are there in 7/4 of a millimeter? 1750 What is 37/5 of a litre in millilitres? 7400 Convert 738361.6 nanograms to milligrams. 0.7383616 How many hours are there in thirteen eighths of a day? 39 What is 197685.6 months in decades? 1647.38 How many centimeters are there in 81/4 of a meter? 2025 How many minutes are there in 7/2 of a hour? 210 What is one twentieth of a second in microseconds? 50000 Convert 196919.5 centimeters to nanometers. 1969195000000 What is twenty-nine halves of a millimeter in micrometers? 14500 How many micrograms are there in 51/5 of a milligram? 10200 How many nanoseconds are there in 0.5030169 minutes? 30181014000 How many months are there in 29/3 of a century? 11600 How many centuries are there in 6/5 of a millennium? 12 How many milliseconds are there in five quarters of a minute? 75000 What is 3.4221t in nanograms? 3422100000000000 How many nanometers are there in 11/2 of a micrometer? 5500 How many meters are there in 51/4 of a kilometer? 12750 How many millilitres are there in 4375.373 litres? 4375373 What is thirty-three fifths of a century in years? 660 How many kilograms are there in 84794.89mg? 0.08479489 What is 62719.87 nanometers in meters? 0.00006271987 What is 788111.5cm in millimeters? 7881115 What is 5/42 of a week in minutes? 1200 How many kilograms are there in six fifths of a tonne? 1200 How many millimeters are there in thirteen fifths of a meter? 2600 How many years are there in 0.2233074 decades? 2.233074 What is 3/40 of a week in minutes? 756 How many milligrams are there in 0.8246626ng? 0.0000008246626 How many seconds are there in 2/63 of a week? 19200 How many meters are there in 18/5 of a kilometer? 3600 How many kilometers are there in 935369.1 micrometers? 0.0009353691 How many millilitres are there in nineteen quarters of a litre? 4750 What is 9/10 of a microgram in nanograms? 900 How many millilitres are there in seventy-three fifths of a litre? 14600 How many millilitres are there in 5/4 of a litre? 1250 Convert 5709.342 grams to tonnes. 0.005709342 What is 93360.2l in millilitres? 93360200 What is 513568.7 micrometers in nanometers? 513568700 What is 13/5 of a litre in millilitres? 2600 How many millilitres are there in 21/5 of a litre? 4200 How many millilitres are there in one twentieth of a litre? 50 How many months are there in 1/60 of a millennium? 200 What is 1743.4323s in hours? 0.48428675 Convert 45.51415 centuries to millennia. 4.551415 How many milligrams are there in thirteen quarters of a gram? 3250 Convert 16198.49448 seconds to weeks. 0.026783225 What is 1/10 of a millisecond in nanoseconds? 100000 What is 7/8 of a gram in milligrams? 875 How many months are there in 82093.14 millennia? 985117680 What is 85405.7 milligrams in kilograms? 0.0854057 How many millilitres are there in twenty-one eighths of a litre? 2625 What is 7/4 of a litre in millilitres? 1750 What is 3/25 of a milligram in micrograms? 120 How many millilitres are there in 3.651098 litres? 3651.098 How many years are there in 17/4 of a millennium? 4250 How many months are there in twenty-one quarters of a century? 6300 How many years are there in 3/25 of a millennium? 120 What is sixty-four fifths of a litre in millilitres? 12800 What is 32484.39 millennia in years? 32484390 How many meters are there in 5.981098 centimeters? 0.05981098 How many nanometers are there in 30.6366 meters? 30636600000 How many decades are there in 1/5 of a century? 2 What is 15688.98 decades in years? 156889.8 How many nanometers are there in thirty-seven fifths of a micrometer? 7400 Convert 262.6816ug to nanograms. 262681.6 What is 51/5 of a centimeter in millimeters? 102 Convert 4804.543 hours to microseconds. 17296354800000 What is one tenth of a gram in milligrams? 100 What is 51/8 of a litre in millilitres? 6375 How many centuries are there in 0.4014359 millennia? 4.014359 How many micrometers are there in thirteen quarters of a centimeter? 32500 Convert 1822.151mg to micrograms. 1822151 How many litres are there in 7.07622ml? 0.00707622 What is 158.985288us in weeks? 0.0000000002628725 Convert 0.303641 litres to millilitres. 303.641 Convert 2886.48ng to micrograms. 2.88648 How many minutes are there in seven halves of a week? 35280 How many millimeters are there in 2184.44 kilometers? 2184440000 What is 37/2 of a litre in millilitres? 18500 What is 45/8 of a litre in millilitres? 5625 What is 0.1497298 litres in millilitres? 149.7298 How many meters are there in 7/4 of a kilometer? 1750 How many kilograms are there in 30.41264 grams? 0.03041264 What is 49418.77 kilometers in centimeters? 4941877000 Convert 22.18517 microseconds to seconds. 0.00002218517 Convert 7.143076 centuries to decades. 71.43076 What is 6/5 of a kilogram in grams? 1200 How many millilitres are there in 25/4 of a litre? 6250 Convert 0.9416666 nanograms to grams. 0.0000000009416666 What is 58.90258ml in litres? 0.05890258 How many decades are there in 11/4 of a millennium? 275 How many millimeters are there in 3/25 of a meter? 120 How many millilitres are there in nineteen quarters of a litre? 4750 How many minutes are there in 12/7 of a week? 17280 How many seconds are there in 28615.35 nanoseconds? 0.00002861535 Convert 89702.98 litres to millilitres. 89702980 What is 7/4 of a kilometer in meters? 1750 What is five sixths of a hour in seconds? 3000 What is seven sixths of a century in months? 1400 How many litres are there in 364901.6ml? 364.9016 How many millilitres are there in five quarters of a litre? 1250 What is 2571723.9 months in millennia? 214.310325 How many seconds are there in 84.27399 weeks? 50968909.152 How many weeks are there in 10425693.6 hours? 62057.7 How many decades are there in three fifths of a century? 6 Convert 47.7118 grams to kilograms. 0.0477118 How many micrometers are there in 8/25 of a millimeter?
{ "pile_set_name": "DM Mathematics" }
= -4 - 4 for x. -2 Solve -4*g - 7 = -0*g + f, -15 = 5*f for g. -1 Solve -10 = f - 3*r, -2*r + r = 4*f - 12 for f. 2 Solve 4*i - 9 - 11 = 4*l, 4*l = -4*i - 12 for i. 1 Solve -8*l = -10*l + 10, 0 = 2*o - 2*l + 12 for o. -1 Solve 2*y + 15 = y + 4*f, 4*y = -4*f for y. -3 Solve -5*a + a - 5 = 5*h, -3*h + 14 = -a for h. 3 Solve 3*q + 3*l = -30, -20 = -q + 4*l + l for q. -5 Solve 0 = 4*n + 2*k + 10, 13*n - 12*n - 2*k = -5 for n. -3 Solve -4*j - 4*b = -0 + 28, -18 = 2*j + 3*b for j. -3 Solve 0 = p - 4*a, -8*a + 2 = -6*a for p. 4 Solve f - b = -4*b - 3, 2 = -4*f - 2*b for f. 0 Solve -4*f = 7*x - 3*x + 40, 0 = 2*f - 2*x for f. -5 Solve -22 - 11 = 5*p + 3*s, 0 = 3*p - 3*s + 15 for p. -6 Solve 3*u + 2*i = -2*u + 2, 3*u + i = 2 for u. 2 Solve s - 5 = m, -4*s + 18 = 25*m - 27*m for m. -1 Solve g + 3 = 0, -41*n + 45 = -46*n - 5*g for n. -6 Solve 5*d - 10 = -5*l, -5*d + 4*d - 8 = -l for l. 5 Solve r - 9 = 2*l, -5*l - 6*r = -r for l. -3 Solve y + 1 - 14 = -3*x, 3*y = 4*x for x. 3 Solve -6 = -2*p, 3*l - 95*p + 91*p + 9 = 0 for l. 1 Solve 3*r - s - 26 + 17 = 0, 3*s = 3*r - 3 for r. 4 Solve 4*h = -5*t + 10, h + h - 4*t = 18 for h. 5 Solve 0 = -2*w - 2*b + 8, 0 = -0*w - w - 4*b + 4 for w. 4 Solve 2*r - 5*u + 1 = -4, 4*u = 12 for r. 5 Solve -4*i - 7 = -56*c + 59*c, -3*c + 21 = -3*i for i. -4 Solve 5*q + 3*c = -7 - 8, 0 = -5*q - c - 5 for q. 0 Solve 3 = -7*n + 6*n - w, -n - 9 = 3*w for n. 0 Solve 3*t = -4*o + 7*t - 12, 0 = 4*o + 3*t - 9 for o. 0 Solve 0 = 39*s - 36*s + 2*j + 8, 4*s - 5*j - 20 = 0 for s. 0 Solve -4*h - 5*o + 13 = -6*o, -4*o + 5 = 3*h for h. 3 Solve -6*u + u - 2*x + 15 = 0, 4*x = -3*u + 23 for u. 1 Solve -2*m + 9 + 9 = -4*z, 2*m - 20 = 5*z for z. -2 Solve -2*c = 3*x + 2*x + 17, -4*c + 3*x + 31 = 0 for c. 4 Solve 4*f - 2*d + 0 + 18 = 0, -3*f = 5*d - 6 for f. -3 Solve -4*a - 7 = 3*q, a - 3*q - 17 = -0 for a. 2 Solve 2*h + 3*l = 4*l + 4, 4*h = -5*l + 8 for h. 2 Solve -2*r + 2 - 11 = 3*m, 14 = -2*r - 4*m for r. 3 Solve -3*n - 5*p - 2 = -0, n = -5*p + 6 for n. -4 Solve 17 = -3*f - 2*z, 4*f = f + 6*z - 9 for f. -5 Solve 0 = 3*v - 2*a + 5*a + 3, 0 = -4*v - 2*a - 10 for v. -4 Solve 2*k = 4*m + 13 - 15, -2*m = -3*k + 5 for k. 3 Solve 32*q + 3*y + 16 = 28*q, -2*y = -5*q + 3 for q. -1 Solve 0 = 4*s - 5*s - 5*k + 15, 6 = -4*s + 2*k for s. 0 Solve -5*g = -7*g + 5*b + 16, -4*b = -g + 14 for g. -2 Solve -11*j = -b - 10*j, 4*j - 6 = 2*b for b. 3 Solve 2*k - 6 = 4*v, -4 + 3 = 5*k + 6*v for k. 1 Solve 3*f - 2 + 3 = -2*z, 2*f - 2*z + 4 = 0 for f. -1 Solve 9*b = 13*b - 3*c + 11, -4*b + 2*c - 6 = 0 for b. 1 Solve -b - 5*v + 1 = -0*b, 0 = 3*b + 5*v - 3 for b. 1 Solve -3*h - 507*c + 505*c = -6, 0 = -h + 2*c + 2 for h. 2 Solve 5*d - 6 = -2*i, -1 = -2*d - 6*i + 17 for d. 0 Solve 5*i = -g - 1, 5*i + 4 = -26*g + 22*g for i. 0 Solve -s + 10 + 13 = -4*v, 19 = 3*s - 2*v for s. 3 Solve 2*q + 4*u + 12 = 0, -7*u - 12 = 5*q - 3*u for q. 0 Solve 2*g + 5*t = 12, 91*g = 92*g - 4*t + 7 for g. 1 Solve -4*t - 2*h - 22 = -0, 6 = -t - h for t. -5 Solve 4*w - 5*t - 4 = 3*w, -t + 2 = -3*w for w. -1 Solve 4*h - 7*h = -5*s + 11, 0 = h + 4*s - 2 for h. -2 Solve 5*w - 7*h = -12*h, -2*w + h = -6 for w. 2 Solve -4*a - 3*u = -31, a - 13 = -3*u + 6 for a. 4 Solve -2*w = -5*s + 3, 5*s = 3*w - 2*w + 4 for w. 1 Solve 2*b - 5*b - 20 = -5*l, 0 = -4*b - 2*l + 8 for b. 0 Solve -22 = 4*o - 2*z, 21 = o - 4*o + 3*z for o. -4 Solve -41*g - 6 = b - 43*g, -3*b - 8 = -4*g for b. 4 Solve -4 = -3*w + u, 4*u = -2*w + 7*u - 2 for w. 2 Solve 4*i = -x + 78 - 70, 5*i - 4*x - 31 = 0 for i. 3 Solve 4*d = -h, 0 = -7*d + 2*d + 4*h for d.
{ "pile_set_name": "DM Mathematics" }
. Suppose -6*s + 25 = -s. What is the highest common divisor of s and l? 5 Let t = 9 + 17. Let h be (-411)/(-9) - 4/6. Suppose 5*c - 150 = h. What is the greatest common factor of c and t? 13 Let l(v) = -1. Let s(r) = -31*r - 5. Let w(x) = 3*l(x) - s(x). Let g be w(2). What is the highest common divisor of g and 16? 16 Suppose 2*l + 2 - 8 = 0. What is the highest common divisor of l and 1? 1 Let r(o) be the third derivative of -o**6/120 - o**5/60 + 5*o**3/6 - o**2. Let s be r(0). What is the greatest common divisor of 20 and s? 5 Let h be (-100)/(-15)*30/4. What is the highest common divisor of 10 and h? 10 Let f(j) = 3*j**2 + 2*j - 5. Let u be f(-6). Suppose -z = z - 26. What is the greatest common factor of u and z? 13 Suppose 0 = 4*l - 240 - 208. Calculate the highest common factor of 16 and l. 16 Suppose q = 13 - 7. Calculate the highest common factor of q and 6. 6 Let x = 20 + 1. What is the highest common factor of x and 63? 21 Let h = -2 - -3. Let s be 8/(h*4/66). Let j(p) = 3*p. Let v be j(4). Calculate the greatest common divisor of v and s. 12 Let h = -19 - -36. Calculate the highest common divisor of 34 and h. 17 Suppose -21 + 61 = 4*b. Calculate the greatest common factor of b and 50. 10 Suppose -4*r = -r - 36. What is the highest common factor of 30 and r? 6 Let m be -4 + (-15)/(-3) + 4. Calculate the highest common divisor of 15 and m. 5 Let t = 41 + -19. What is the greatest common factor of t and 11? 11 Let u(n) = 13*n - 7. Let g be u(4). What is the greatest common factor of 5 and g? 5 Let i be 764/(-10)*20/4. Let s be (-10)/(-40) - i/8. Suppose r - 2*n = -n + 11, -3*r - n + 53 = 0. Calculate the highest common divisor of s and r. 16 Suppose 17 = 5*o - 38. Let s = -43 + 76. What is the highest common factor of o and s? 11 Let k(f) = 5*f - 8. Let z be k(7). Suppose -2*v + 70 = -0*v. Suppose 3*w + 8 = v. What is the greatest common factor of z and w? 9 Suppose w - 5*r = 32, 2*w - 4*r - 22 = 30. Suppose 4*a - w = -6. What is the highest common divisor of 36 and a? 4 Let o(s) = 2*s - 21. Let a be o(15). Let h = 58 - a. Calculate the greatest common factor of 7 and h. 7 Let u be 2/(-4)*(8 - 2). Let a = 5 + u. Calculate the greatest common factor of 22 and a. 2 Let c(t) = 26 - t - 9 + 8*t - 2*t. Let w be c(5). What is the highest common divisor of w and 28? 14 Suppose -108 = -0*h - 2*h. Let b be 3/(3 - h/20). Calculate the highest common factor of b and 80. 10 Let b(z) = -z + 72 - 2*z + 4*z - z**2 - z**3. Let q be b(0). Calculate the greatest common factor of 8 and q. 8 Let j(p) = -p**3 - p**2 + 2*p + 3. Let c be j(-4). Suppose t - 4 + 5 = 0. Let v be c + (5 - 2) + t. Calculate the highest common divisor of 9 and v. 9 Let n(w) = 48*w + 6. Let u be n(4). Calculate the greatest common factor of 18 and u. 18 Let d = 115 + -35. What is the greatest common divisor of 20 and d? 20 Let p(c) = c**2 - 10*c - 47. Let q be p(19). Calculate the greatest common factor of q and 31. 31 Suppose 0 = 2*t + 2*m - 2, -5*t + 4 = -3*m - 9. Let h(y) = t*y - 3*y + 10*y + 2*y**2 + 7. Let p be h(-7). What is the highest common factor of 21 and p? 21 Let u be 8/(-20) - 27/(-5). Suppose -u - 7 = -3*m, 4*v + 2*m - 372 = 0. Let k = v - 49. What is the highest common divisor of k and 14? 14 Let f be 20/6*(5 - -13). Let u(y) = y**2 + y. Let k be u(3). Calculate the highest common divisor of f and k. 12 Suppose 8*c - 3*c = 520. Calculate the greatest common factor of 39 and c. 13 Suppose 0*v = v. Suppose k + v*t = 2*t - 4, -5*k - 2*t + 4 = 0. Suppose -j + 10 = -k*j. What is the highest common factor of j and 20? 10 Let m(f) = 4*f - 26. Let u be m(10). What is the highest common divisor of 112 and u? 14 Let r = 263 - 144. What is the highest common factor of 17 and r? 17 Suppose 22 = -4*w + 6*w. Let y = 7 - w. Let m = 9 + y. Calculate the highest common factor of m and 55. 5 Let t be 9 - 10 - (-1 - 0). Suppose t = -5*w + 83 + 117. Calculate the greatest common factor of 10 and w. 10 Let y(r) = 12*r**2 + 4*r + 6. Let h be y(-4). Let c = -110 + h. Calculate the highest common factor of 8 and c. 8 Let q = -291 + 651. Calculate the highest common factor of q and 45. 45 Let j(u) = 177*u**3 - 3*u**2 + 4*u - 2. Let r be j(1). Calculate the highest common factor of r and 16. 16 Suppose 2*k + 2*k = 12. Let m be -1*k*-30*1. Let o(r) = r + 36. Let y be o(0). What is the greatest common divisor of m and y? 18 Suppose -3*h - k = -17, 5*h - 5*k + 1 = -4. Suppose -i = h*i - 30. Calculate the highest common factor of i and 6. 6 Let r(u) = -6*u**3 - 2*u**2 - 2*u - 1. Let o be r(-1). Suppose -4*f + 34 = o*c - 7, 2*f - 15 = 3*c. Calculate the greatest common divisor of 99 and f. 9 Let v(z) = -2*z**3 - 5*z**2 - 4*z - 3. Let y(i) = i**3 + 4*i**2 - 4*i + 2. Let d be y(-5). Let x be v(d). Calculate the greatest common factor of x and 45. 9 Suppose -41 = q - 2*k, q + k + k = -45. Let b = q + 21. Let s = -7 - b. What is the greatest common divisor of s and 3? 3 Let w be (1 + -4)/((-6)/28). Suppose 3*q - 102 = -3*i, -q + 145 = 3*q - 5*i. Calculate the greatest common factor of w and q. 7 Let j be ((-33)/(-3) - 5)/2. Calculate the highest common factor of 3 and j. 3 Let g(r) be the first derivative of 13/3*r**3 + 0*r**2 + r + 2. Let p be g(1). What is the greatest common divisor of 21 and p? 7 Let z be 1/(-6) + (-323)/6. Let y be 4/10 - z/15. Suppose -4*r + 2*u = -2*u - 184, 0
{ "pile_set_name": "DM Mathematics" }
*5 - 11*p**4/3 + p**3 + 9*p**2 - 4*p/3 - 4 = 0. Calculate p. -3, -2, -2/3, 1 Let 20*l**4 - 42*l**3 - 20*l**2 = 0. Calculate l. -2/5, 0, 5/2 Determine p, given that 34*p**5/7 + 20*p**4 + 152*p**3/7 + 16*p**2/7 = 0. -2, -2/17, 0 Let 2*l**5/11 - 2*l**4 + 84*l**3/11 - 140*l**2/11 + 106*l/11 - 30/11 = 0. Calculate l. 1, 3, 5 Find h such that 2*h**2/15 + 176*h/3 = 0. -440, 0 Find a, given that -2*a**5 - 258*a**4 + 530*a**3 + 778*a**2 - 1056*a - 1048 = 0. -131, -1, 2 Find y such that -5*y**4 - 290*y**3 - 280*y**2 + 290*y + 285 = 0. -57, -1, 1 Factor -2*b**5 - 4*b**4 + 6*b**3. -2*b**3*(b - 1)*(b + 3) Determine c, given that 6*c**5 - 49*c**4 + 371*c**3/3 - 121*c**2 + 139*c/3 - 6 = 0. 1/3, 1, 2, 9/2 Factor -3*t**4 - 33*t**3 - 24*t**2 + 60*t. -3*t*(t - 1)*(t + 2)*(t + 10) Factor 38*b**2/13 + 602*b/13 - 96/13. 2*(b + 16)*(19*b - 3)/13 What is s in -s**5 + 5*s**4 + 17*s**3 - 21*s**2 = 0? -3, 0, 1, 7 Factor -u**2/2 + 663*u + 1327/2. -(u - 1327)*(u + 1)/2 Factor -9*g**3 - 57*g**2 - 18*g. -3*g*(g + 6)*(3*g + 1) Factor -2*x**2 - 64*x. -2*x*(x + 32) Solve -8*w**4/5 + 254*w**3/5 - 1704*w**2/5 - 5066*w/5 - 1156/5 = 0 for w. -2, -1/4, 17 Find r such that r**3/3 - 5*r**2/3 - 22*r/3 + 56/3 = 0. -4, 2, 7 Solve 5*r**3/2 + 58*r**2 - 97*r/2 - 12 = 0. -24, -1/5, 1 Factor 4*h**3/7 + 16536*h**2/7 + 33060*h/7 + 16528/7. 4*(h + 1)**2*(h + 4132)/7 Factor 3*j**3/4 + 15*j**2 + 111*j/4 + 27/2. 3*(j + 1)**2*(j + 18)/4 Determine t so that -2*t**5/9 - 6*t**4 - 62*t**3 - 2690*t**2/9 - 1904*t/3 - 392 = 0. -7, -6, -1 Factor -2*d**2/3 + 14*d - 136/3. -2*(d - 17)*(d - 4)/3 Suppose 2*n**3/13 + 46*n**2/13 + 192*n/13 + 216/13 = 0. What is n? -18, -3, -2 Suppose -3*l**2/2 - 279*l/2 - 405 = 0. What is l? -90, -3 Find z, given that 5*z**4 - 90*z**3 - 995*z**2 + 2100*z + 22500 = 0. -6, 5, 25 Factor -28*o**3 - 180*o**2 + 376*o + 192. -4*(o - 2)*(o + 8)*(7*o + 3) Suppose 2*z**4 - 34*z**2 + 72*z - 40 = 0. Calculate z. -5, 1, 2 Factor -3*l**2/2 + 81*l/2. -3*l*(l - 27)/2 Factor -l**4 - 12*l**3 + 243*l**2 + 518*l + 264. -(l - 12)*(l + 1)**2*(l + 22) Find f, given that -2*f**3/19 + 30*f**2/19 - 132*f/19 + 160/19 = 0. 2, 5, 8 Solve 5*p**2 - 5530*p - 5535 = 0 for p. -1, 1107 Suppose -2*r**3 - 10*r**2 - 14*r - 6 = 0. Calculate r. -3, -1 Let 4*l**5 - 24*l**4 + 4*l**3 + 96*l**2 - 80*l = 0. What is l? -2, 0, 1, 2, 5 What is l in -14*l**3 - 220*l**2 - 832*l + 256 = 0? -8, 2/7 Determine k, given that 3*k**3 - 33*k**2 - 3*k + 33 = 0. -1, 1, 11 What is m in -21*m**2 - 132*m - 36 = 0? -6, -2/7 Solve l**5/4 + l**4/4 - 3*l**3/4 - l**2/4 + l/2 = 0 for l. -2, -1, 0, 1 What is q in 2*q**5/11 - 32*q**4/11 + 144*q**3/11 - 108*q**2/11 - 54*q + 972/11 = 0? -2, 3, 9 Factor 2*m**4/13 + 1112*m**3/13 + 152320*m**2/13 - 627200*m/13. 2*m*(m - 4)*(m + 280)**2/13 Factor 4*y**2 + 20*y - 24. 4*(y - 1)*(y + 6) Determine z so that -4*z**2 - 1128*z - 79524 = 0. -141 Factor -32*v**5 - 132*v**4 + 1656*v**3 - 2916*v**2. -4*v**2*(v - 3)**2*(8*v + 81) Let 6*v**4 - 34*v**3 - 108*v**2 - 32*v = 0. Calculate v. -2, -1/3, 0, 8 Let -x**3/8 + 393*x**2/8 - 4851*x + 4802 = 0. What is x? 1, 196 Let d**4 - 13*d**3 - 3*d**2 + 41*d - 26 = 0. Calculate d. -2, 1, 13 Suppose -g**2/10 + 311*g/10 - 31 = 0. Calculate g. 1, 310 Factor q**5 + 4*q**4 + 6*q**3 + 4*q**2 + q. q*(q + 1)**4 Determine r so that -4*r**4 + 28*r**3 + 156*r**2 + 212*r + 88 = 0. -2, -1, 11 Factor 75*l**3 - 144*l**2 - 12*l. 3*l*(l - 2)*(25*l + 2) Factor 2*h**2/3 - 176*h/3 + 344/3. 2*(h - 86)*(h - 2)/3 Let 3*f**2/2 - 3*f + 3/2 = 0. What is f? 1 Factor 3*h**2 - 75*h + 342. 3*(h - 19)*(h - 6) Find f, given that f**3 + 11*f**2 - 4*f - 224 = 0. -8, -7, 4 Solve -t**2/8 - 19*t/8 + 105 = 0. -40, 21 What is u in -u**3/9 - 275*u**2
{ "pile_set_name": "DM Mathematics" }
Let p be (1 + -2)*-5 + (-178)/(-89). What is the highest common divisor of p and w? 7 Let c(g) = g**2 - 7*g - 11. Let p = 21 - 12. Let z be c(p). Calculate the highest common divisor of 1 and z. 1 Let p(o) = o**3 + 6*o**2 + 6*o. Let m be (-6)/(-18) - (-39)/(-9). Let z be p(m). Calculate the greatest common divisor of 104 and z. 8 Let d be (1/3)/((-33540)/(-3726) + -9). What is the greatest common divisor of d and 299? 23 Suppose a + 1225 = 2*w, 33*a = 2*w + 38*a - 1255. What is the highest common factor of 45 and w? 15 Suppose -100*o + 86*o + 7714 = 0. What is the greatest common factor of 19 and o? 19 Let h be 1 + 18 + -1 + -2. Let r(g) = g**3 + 9*g**2 - 21*g + 27. Let o be r(-11). Calculate the greatest common divisor of h and o. 16 Let a be (-2640)/(-2 + 11/22). Calculate the highest common divisor of a and 11. 11 Let q = 15 - 14. Let f be 118/2 + 0 + q. Let h = 75 + -51. Calculate the greatest common factor of f and h. 12 Suppose 2*s + 4*d = 180, 3*d = 2*s - 5*s + 261. Let c be 1*(s + 6/(-2)). Calculate the highest common divisor of 9 and c. 9 Let n(k) = -k + 5. Let t be n(4). Let z be (-57)/(-12) + t/4. Calculate the greatest common divisor of z and 35. 5 Suppose 0 = 4*h + 3*k - 255, 4*k + 140 = 5*h - 140. Suppose -2*w = -795 - 705. Suppose -w = 4*z - 9*z. Calculate the greatest common divisor of z and h. 30 Suppose -112 = 6*r + r. Let a be (-90)/(-3)*(2 + r/12). What is the greatest common divisor of a and 60? 20 Let u = -513 + 599. What is the highest common divisor of 1376 and u? 86 Let k = 222 - 30. What is the highest common divisor of 16 and k? 16 Let k = 660 - 642. What is the greatest common factor of k and 306? 18 Let x = 59 + -36. Let d(h) = 7*h**2 + 17*h + 25. Let r be d(-5). Calculate the highest common factor of x and r. 23 Let v(r) = 2*r**2 + r - 4. Let b be v(-3). Let t = -70 + 81. What is the highest common factor of b and t? 11 Let t(n) = n**3 - 16*n**2 + 14*n + 17. Let j be t(15). Let d be (91/(-78))/(j/(-12)). Suppose -m - 189 = -4*m. What is the highest common factor of d and m? 7 Let v be (-2)/1*(-493)/34. Suppose 6*t = -v + 113. Calculate the greatest common divisor of 14 and t. 14 Let s be 3*1912/204 + 6/(-51). What is the highest common factor of s and 140? 28 Suppose -5*h - s = -318 - 1073, h = 5*s + 273. Suppose -4*x + 42 = -h. Calculate the greatest common factor of 10 and x. 10 Let o(r) = 2*r**3 - 8*r**2 - 30*r + 31. Let z be o(10). Calculate the highest common factor of z and 98. 49 Let d = 5 - -3. Suppose -4*u - 5*h - 24 = -98, -3*h = 2*u - 38. What is the greatest common divisor of u and d? 8 Let l = 2397 - 2392. Suppose 3*j - 11 = w, 0*j = -5*j - 4*w + 41. What is the highest common divisor of l and j? 5 Let f = -10 + 12. Let s be (-3)/(-2)*f - 10. Let z be (s + 22)*(-96)/(-10). What is the greatest common factor of z and 18? 18 Let x be 21/(-4)*1672/(-57). Calculate the highest common divisor of x and 98. 14 Let m(s) = -s**3 - 14*s**2 + 17*s + 51. Let d be m(-15). Calculate the greatest common factor of d and 63. 21 Let u = 26 + -21. Suppose -u*m = -4*m - 32. Calculate the greatest common divisor of m and 4. 4 Suppose -10*v = -13*v + 30. Let c(w) = -w**3 + 9*w**2 + 12*w - 3. Let d be c(v). Let o = -86 + 273. What is the highest common factor of d and o? 17 Let l be (-1897)/(-49) + (-2)/(-7). Let g be (l/(-6)*2)/(-1). Calculate the greatest common factor of 52 and g. 13 Suppose -2*q = -3*w + 67, 4*q = -0*w + w - 19. Suppose -507 = 2*v - 5*v. Let m = v + -8. Calculate the highest common divisor of m and w. 23 Suppose 5*q - 17 = 23. Let j = q + -3. Let w be 5/j*(-20)/(-2). Calculate the highest common divisor of w and 30. 10 Let m be (-4411)/(-143) - 2/(-13). Suppose -9*k + 660 = -177. What is the greatest common divisor of k and m? 31 Let m be (1071/105)/(((-9)/(-10))/3). Calculate the highest common factor of 68 and m. 34 Let b be 24/(-108) + (-209)/(-9). Let w be (-4)/(-18) + (-238)/18. Let t = w + b. Calculate the highest common factor of t and 110. 10 Let f = -13 + 52. Suppose 4*o - 376 = -5*q + 2*q, 3*o - 285 = -3*q. What is the highest common factor of o and f? 13 Let a be (-5 - 8) + 5 - -327. What is the highest common divisor of 44 and a? 11 Suppose 20 = i + 5. Suppose 0 = -3*n - 4*k + i, -4*k + 0*k - 25 = -5*n. Suppose 0*r - 425 = -n*r. What is the greatest common factor of 34 and r? 17 Let o = -8 - -21. Suppose 12*n - 9*n - 36 = -3*r, 2*n = -2. Calculate the greatest common divisor of r and o. 13 Suppose 745 = 5*c + 5*w, -2*w - 1 = 5. Let b be c + -11 + (2 - 0) + 1. Calculate the greatest common factor of b and 6. 6 Suppose -9*v + 1380 - 327 = 0. Calculate the greatest common factor of v and 18. 9 Suppose 3*z + 3*l - 9 = 0, -3*z = z + l - 27. Let r be 785/z - 8/64. Calculate the highest common factor of r and 14. 14 Suppose -3*g - 2*a + 16 = -0*a, 12 = -3*a. Suppose -4*m - 72 = 6*d - g*d, 25 = -5*m. Calculate the highest common divisor of 208 and d. 26 Let u be (1 - (-3)/(-6))*-6. Let r be u*3/((-9)/5). Suppose 4*d - r*f = 27, 4*f + 10 = -2*d + 30. Calculate the greatest common factor of d and 40. 8 Suppose 3*w - 10 - 2 = 0. Suppose 92 = w*s + 28. What is the highest common factor of 16 and s? 16 Suppose 3*y - 2*y - 4*g - 336 = 0, 0 = -2*y + 3*g + 652. Calculate the greatest common divisor of y and 5. 5 Let w = 138 - 150. Let g be w/(-9)*87/2. Calculate the highest common divisor of 406 and g. 58 Let m(i) = -i**3 - 17*i**2 - 18*i - 16. Let s be m(-
{ "pile_set_name": "DM Mathematics" }
- 12 = 3*z. Let g be j(o). Is 5/5 + (g - 1) composite? False Is 5855*(7/(-21))/(1/(-3)) prime? False Let f = -5079 - -8022. Suppose o + 2*o - 4*t = f, -3949 = -4*o - 3*t. Is o a prime number? False Let s = 10 + -8. Suppose 0 = -i - 4*u + 515, 3*i - 453 = s*u + 1148. Suppose 2*r = -3*b + r + i, 896 = 5*b - 2*r. Is b a prime number? False Let p(s) = -s**3 + 10*s**2 - 10*s + 9. Let t be p(9). Suppose -12*x + 9*x = t. Suppose x = -5*w - 3*q + 4520, -4*q + 36 + 3572 = 4*w. Is w prime? True Let n(s) = 4*s + 0*s - 3*s. Let i(a) = -2*a**2 + 8*a + 8. Let u(c) = -i(c) + n(c). Is u(11) a prime number? True Suppose -z + 1974 - 71 = 3*l, 2*z - 3806 = -2*l. Is z prime? False Is (-1 + 3 + -1)*172038/106 a prime number? False Let w be (-1)/(4 - 51/12). Suppose 2*j + 3*t = 531, 2*t - w = -2*t. Let z = j + -130. Is z a prime number? False Let x be 207/21 - 2 - (-1)/7. Suppose -10038 = 2*q - x*q. Is q a composite number? True Suppose 5*d = u + 1684, -2*u = -2*d - u + 673. Is d a prime number? True Let t(b) = b**3 + 19*b + 17. Is t(8) prime? False Suppose -46*d + 53*d = 380905. Is d a composite number? True Suppose -7*d + 12*d - 1621 = 3*b, 0 = 3*d + 12. Let y be (2/(-4))/(2/1024). Let k = y - b. Is k composite? True Let h = -24 - -17. Is -890*(h/2 + 3) a composite number? True Let p(z) = z**3 - 8*z**2 - z + 8. Let r be p(8). Suppose r = 3*n - 6*n + 885. Is n composite? True Suppose -f - 1058 - 13452 = -2*k, 5*k - 3*f = 36275. Is k a prime number? False Let v = 17 + -12. Suppose -v*f + 316 = 2*j, 5*j - 4*f + f = 821. Suppose j = 4*p - 5*t, -343 + 118 = -5*p + 2*t. Is p a composite number? False Suppose 0 = -5*w - 4*b + 1129 + 4070, 2*w - b - 2077 = 0. Is w a composite number? False Suppose -9 = 3*b, -11*j + 13*j + 3*b = 1133. Is j composite? False Let y(m) = -104*m**2 + 7*m + 15. Let j be y(6). Is 12/(-3) + j/(-1) a prime number? False Let n(m) = 477*m**2 + 2*m + 344. Is n(-21) a prime number? True Let d(v) = -390*v - 291*v + 79*v + 3. Is d(-4) prime? True Let t be ((-5)/(-2))/((-10)/(-20)). Suppose 2306 = -t*x + 6501. Is x a composite number? False Let o(k) = 4*k**3 - 4*k**2 - 11*k - 5. Is o(6) prime? False Suppose 15*v - 28 = 8*v. Suppose v*x = -0*d + 5*d + 7184, -1817 = -x - 4*d. Is x a prime number? True Let b(t) = -2*t**3 + 7*t**2 + 4*t - 4. Let i be b(4). Is -7558*(-3 + 3 + 2/i) a prime number? True Let r(c) = c + 17. Let f be r(-8). Is (-6)/f*(-582)/4 prime? True Let p be 0 - ((-10)/(-3))/(4/(-30)). Suppose 3*q = p*q - 27566. Is q prime? False Let v(j) = 26*j**2 + j - 8. Suppose 9*w = 7*w - 14. Is v(w) a composite number? False Let f(a) = -5*a - 9. Let l(b) = -b - 1. Let t(d) = f(d) - 4*l(d). Let o be t(-5). Suppose 0 = -o*w + 3*w - 537. Is w prime? True Suppose k - 2*f = 3*k - 202, -3 = -f. Suppose 0 = 2*i - 5*t - k, -3*i + 6*t + 133 = 2*t. Let w = 46 + i. Is w composite? True Suppose -2*j - 5*f - 14129 = -6*j, 3*f = j - 3534. Suppose -3*i = -5*g - 2585 - 946, 3*i - 2*g = j. Is i a prime number? False Let f = -6283 + 10744. Let c = 7556 - f. Is c composite? True Suppose 0 = -7*t - 7*t + 504. Suppose 34 + t = 7*r. Is r a composite number? True Let j(s) = 284*s**2 + 2*s - 9. Is j(-2) composite? False Let m(t) = 1046*t - 3. Is m(1) a composite number? True Let u be 119/9 + 6/(-27)*1. Let p be 0/((-2)/(-1)) - -8. Let l = p + u. Is l prime? False Is ((-41)/(-123))/((-2)/(-112686)) composite? True Suppose -7*c + 175294 + 12453 = 0. Is c composite? False Let v = 754 - 305. Is v a composite number? False Suppose 0 = 12*o - 220 + 52. Let c = o + 0. Is c a prime number? False Is (70/(-350))/(1/(-64205)) a prime number? True Suppose -1701 = 9*j + 15075. Let i = 3506 + j. Is i composite? True Is 6/9 - (26720/(-12))/2 composite? True Let x(g) = -g**2 - 4*g - 3. Let f be x(-3). Suppose -v - 1 + 7 = f. Is 865/15 - v/9 a composite number? True Is ((-4)/5 - -1) + 469872/90 prime? False Suppose -4*l - 10 = 38. Let q be 6/7*(l + 19). Let z = 25 - q. Is z prime? True Let t = -754 - -1327. Is t composite? True Let h(d) = 38*d**3 - 6*d**2 + 5*d - 1. Let z be h(4). Let c be (-9)/3 - z/(-5). Let n = -147 + c. Is n prime? False Suppose 77*p = 81*p - 5*t - 2136, -1038 = -2*p - 5*t. Is p a prime number? False Let t(o) = 9*o**2 - 7*o - 7. Let c be t(6). Suppose -3*w = 2*h - c, -w + 668 = 7*h - 2*h. Is h a composite number? True Suppose -10668 = 2*t - 3*t - 5*y, 0 = 3*t + 5*y - 31994. Is t a prime number? True Let p(w) = -w**2 + 7*w + 7. Let r(n) = 3*n + 12. Let q be r(-5). Let s = q - -9. Is p(s) composite?
{ "pile_set_name": "DM Mathematics" }
t replacement from {b: 1, o: 1, s: 1}. What is prob of picking 1 b and 1 o? 1/3 Three letters picked without replacement from {o: 2, e: 1, z: 1, s: 2, u: 1}. What is prob of picking 2 o and 1 s? 2/35 Three letters picked without replacement from {q: 1, h: 1, k: 2, g: 5}. Give prob of picking 1 g, 1 k, and 1 h. 5/42 Calculate prob of picking 2 i, 1 n, and 1 p when four letters picked without replacement from iponbboibbpibpbieo. 1/170 Two letters picked without replacement from etsyqtm. What is prob of picking 1 q and 1 y? 1/21 What is prob of picking 2 u when two letters picked without replacement from {v: 2, u: 4, a: 6}? 1/11 What is prob of picking 1 i and 1 f when two letters picked without replacement from igzzif? 2/15 What is prob of picking 2 a and 2 u when four letters picked without replacement from {u: 2, i: 5, a: 3}? 1/70 Three letters picked without replacement from pptppptpttp. Give prob of picking 3 p. 7/33 What is prob of picking 2 e and 1 h when three letters picked without replacement from {h: 3, e: 7}? 21/40 What is prob of picking 2 h and 1 p when three letters picked without replacement from pghhgghg? 3/56 Three letters picked without replacement from zzxfdzvdvzd. Give prob of picking 1 d, 1 z, and 1 v. 8/55 Three letters picked without replacement from {u: 3, f: 9}. Give prob of picking 2 f and 1 u. 27/55 Calculate prob of picking 1 y and 1 o when two letters picked without replacement from soyywoooosyos. 3/13 What is prob of picking 1 q, 1 b, and 1 u when three letters picked without replacement from {q: 2, u: 13, b: 3}? 13/136 Two letters picked without replacement from rhdrzzv. What is prob of picking 1 v and 1 d? 1/21 Calculate prob of picking 2 v when two letters picked without replacement from bbbvbbbvbbvbbbbbvb. 2/51 Calculate prob of picking 2 k when two letters picked without replacement from {k: 4, x: 10}. 6/91 Calculate prob of picking 3 m when three letters picked without replacement from jmmjoummu. 1/21 Two letters picked without replacement from {h: 1, q: 4, t: 4, r: 3, u: 1, f: 2}. Give prob of picking 1 t and 1 h. 4/105 Four letters picked without replacement from {g: 2, q: 3, b: 4, l: 1, y: 3, k: 3}. Give prob of picking 1 l, 1 k, 1 b, and 1 q. 9/455 Two letters picked without replacement from pzpjjzpj. Give prob of picking 2 p. 3/28 Two letters picked without replacement from {q: 17, f: 3}. What is prob of picking 2 q? 68/95 Two letters picked without replacement from ntltkn. Give prob of picking 1 l and 1 n. 2/15 What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 1, o: 1, c: 1, r: 1, f: 1, b: 2}? 1/21 Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {i: 3, m: 4, e: 1, v: 1, b: 7}. 1/30 Two letters picked without replacement from {y: 1, k: 11}. What is prob of picking 1 k and 1 y? 1/6 Two letters picked without replacement from {a: 1, t: 1, j: 1, n: 1, b: 5}. Give prob of picking 1 b and 1 t. 5/36 Three letters picked without replacement from wwwccjwnzwonccj. Give prob of picking 2 w and 1 j. 4/91 Two letters picked without replacement from {o: 1, f: 2, b: 1}. What is prob of picking 1 o and 1 f? 1/3 Calculate prob of picking 1 m, 1 a, and 1 u when three letters picked without replacement from mmazzu. 1/10 Two letters picked without replacement from {z: 1, v: 3, c: 7, a: 7, y: 1}. Give prob of picking 1 c and 1 a. 49/171 Three letters picked without replacement from iinnhihahaini. Give prob of picking 1 i and 2 n. 15/286 Two letters picked without replacement from vkvvk. What is prob of picking 2 k? 1/10 Three letters picked without replacement from {o: 3, x: 1, f: 2, g: 1}. Give prob of picking 1 x, 1 g, and 1 o. 3/35 Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {n: 2, w: 6, h: 2, g: 10}. 6/95 What is prob of picking 2 q and 2 f when four letters picked without replacement from {j: 1, f: 2, q: 2, n: 1}? 1/15 Two letters picked without replacement from wmqmwuqko. Give prob of picking 1 o and 1 q. 1/18 What is prob of picking 2 t when two letters picked without replacement from {g: 9, t: 3, b: 4}? 1/40 Three letters picked without replacement from {n: 3, t: 3}. Give prob of picking 2 t and 1 n. 9/20 What is prob of picking 2 v when two letters picked without replacement from {t: 5, v: 8}? 14/39 Three letters picked without replacement from cccfcwfccypffccy. Give prob of picking 2 f and 1 w. 3/280 Calculate prob of picking 2 r when two letters picked without replacement from {r: 7, e: 3}. 7/15 Two letters picked without replacement from {q: 5, i: 5, x: 1, c: 1, f: 4, n: 1}. What is prob of picking 2 q? 5/68 Calculate prob of picking 1 p and 1 u when two letters picked without replacement from xxupm. 1/10 What is prob of picking 1 y and 1 m when two letters picked without replacement from {m: 6, y: 2}? 3/7 What is prob of picking 2 y, 1 b, and 1 f when four letters picked without replacement from frzlyylzbfzzrllrflzr? 1/1615 What is prob of picking 1 i and 1 r when two letters picked without replacement from {g: 2, r: 1, o: 2, b: 1, i: 1}? 1/21 Calculate prob of picking 1 b and 2 h when three letters picked without replacement from bhbbbhbbbbbbbbbbhh. 7/68 Three letters picked without replacement from {f: 4, a: 6, r: 2}. Give prob of picking 1 a and 2 r. 3/110 What is prob of picking 3 s when three letters picked without replacement from {o: 2, m: 4, w: 4, s: 5}? 2/91 Three letters picked without replacement from lllzlqlllll. What is prob of picking 1 q and 2 l? 12/55 Four letters picked without replacement from {p: 4, j: 6, k: 4, a: 1, e: 1, h: 3}. Give prob of picking 2 k, 1 h, and 1 a. 3/646 Two letters picked without replacement from {q: 5, g: 8, b: 5}. What is prob of picking 1 q and 1 b? 25/153 Two letters picked without replacement from {m: 7, j: 2}. What is prob of picking 2 j? 1/36 Three letters picked without replacement from {k: 3, b: 1, d: 3, i: 3}. Give prob of picking 2 k and 1 i. 3/40 Two letters picked without replacement from jjeujjejyjyjeujjjyj. What is prob of picking 2 j? 55/171 Four letters picked without replacement from warrraa. What is prob of picking 3 r and 1 w? 1/35 Four letters picked without replacement from glgggggglggglggggglg. Give prob of picking 1 l and 3 g. 448/969 Two letters picked without replacement from zmmhwhwmmemmcwwwc. What is prob of picking 1 e and 1 z? 1/136 What is prob of picking 1 a and 1 o when two letters picked without replacement from {i: 2, a: 7, e: 1, o: 10}?
{ "pile_set_name": "DM Mathematics" }
cking 1 r, 1 h, and 1 q when three letters picked without replacement from {r: 9, q: 6, j: 1, c: 1, h: 1, k: 2}? 9/190 Calculate prob of picking 2 e when two letters picked without replacement from {r: 4, u: 4, d: 3, e: 3, p: 1, i: 5}. 3/190 Calculate prob of picking 2 l when two letters picked without replacement from cdcvll. 1/15 What is prob of picking 2 p when two letters picked without replacement from {y: 10, p: 10}? 9/38 Two letters picked without replacement from {h: 1, c: 2}. What is prob of picking 1 c and 1 h? 2/3 What is prob of picking 2 y, 1 v, and 1 z when four letters picked without replacement from uyuyvzuyvuvycc? 18/1001 Four letters picked without replacement from hztttztuyh. Give prob of picking 2 z, 1 y, and 1 u. 1/210 Two letters picked without replacement from yjjvjjmyj. Give prob of picking 1 v and 1 m. 1/36 Two letters picked without replacement from qdqdllqqdlqldlll. Give prob of picking 2 l. 7/40 Calculate prob of picking 2 z, 1 i, and 1 v when four letters picked without replacement from zqzvzizzlqooiliqzz. 7/340 Calculate prob of picking 3 k when three letters picked without replacement from {a: 4, k: 10}. 30/91 Three letters picked without replacement from uuupuuupupupuuup. Give prob of picking 3 p. 1/56 Two letters picked without replacement from {l: 9}. What is prob of picking 2 l? 1 Three letters picked without replacement from {n: 1, m: 1, u: 1, o: 1, f: 4}. What is prob of picking 1 n and 2 f? 3/28 Calculate prob of picking 2 d when two letters picked without replacement from {m: 2, d: 6, l: 5}. 5/26 Three letters picked without replacement from {z: 10, u: 1, m: 9}. Give prob of picking 3 z. 2/19 Two letters picked without replacement from {h: 1, j: 1, y: 1}. Give prob of picking 1 j and 1 y. 1/3 Three letters picked without replacement from mvmlmlmlmfvlmmmmm. What is prob of picking 1 m and 2 l? 3/34 What is prob of picking 1 c, 2 v, and 1 y when four letters picked without replacement from {u: 1, v: 2, o: 2, y: 1, j: 1, c: 1}? 1/70 What is prob of picking 1 g, 1 x, and 1 s when three letters picked without replacement from {s: 1, k: 1, x: 1, g: 1, o: 1}? 1/10 What is prob of picking 1 x and 1 c when two letters picked without replacement from {f: 2, x: 4, c: 2}? 2/7 What is prob of picking 2 z and 1 b when three letters picked without replacement from {y: 6, z: 2, b: 7}? 1/65 What is prob of picking 1 j and 3 r when four letters picked without replacement from {j: 5, r: 14}? 455/969 Calculate prob of picking 2 u and 1 y when three letters picked without replacement from {q: 1, u: 2, y: 1, w: 1, f: 2, s: 1}. 1/56 Four letters picked without replacement from {s: 2, t: 3, o: 1, m: 1}. Give prob of picking 3 m and 1 t. 0 Two letters picked without replacement from qqqqqqq. Give prob of picking 2 q. 1 Two letters picked without replacement from wenbwwwsw. Give prob of picking 1 w and 1 b. 5/36 Two letters picked without replacement from {g: 8, e: 3, o: 1, j: 2, m: 3, i: 1}. Give prob of picking 1 g and 1 i. 8/153 Three letters picked without replacement from {x: 1, z: 1, w: 1}. Give prob of picking 2 w and 1 x. 0 Calculate prob of picking 1 s and 1 o when two letters picked without replacement from ongsr. 1/10 What is prob of picking 1 m and 2 i when three letters picked without replacement from {s: 2, u: 4, m: 3, i: 2, v: 1}? 3/220 What is prob of picking 1 s, 1 e, 1 d, and 1 n when four letters picked without replacement from {e: 3, j: 3, n: 1, s: 5, d: 3}? 3/91 Three letters picked without replacement from {x: 5, e: 2, m: 8}. Give prob of picking 1 x and 2 m. 4/13 Three letters picked without replacement from {e: 2, j: 2, h: 1}. What is prob of picking 1 j and 2 e? 1/5 What is prob of picking 1 h, 1 v, and 1 a when three letters picked without replacement from {a: 1, v: 4, h: 2, m: 1, d: 3}? 8/165 Two letters picked without replacement from bbbbhbbhbbbbhbhhbbb. What is prob of picking 1 b and 1 h? 70/171 Three letters picked without replacement from fofffffxffoffffffxfo. Give prob of picking 1 o and 2 x. 1/380 Calculate prob of picking 2 y and 1 u when three letters picked without replacement from ufyyquybyy. 1/6 Two letters picked without replacement from gnggggng. What is prob of picking 2 g? 15/28 Calculate prob of picking 1 r and 2 m when three letters picked without replacement from {y: 5, r: 1, g: 1, j: 1, m: 6}. 15/364 Four letters picked without replacement from avzvazvwva. Give prob of picking 1 w and 3 a. 1/210 Three letters picked without replacement from ntffntttntnn. What is prob of picking 2 n and 1 t? 5/22 Two letters picked without replacement from {r: 1, b: 1, a: 1}. Give prob of picking 1 a and 1 b. 1/3 Four letters picked without replacement from btoobwtotwwtbwbt. What is prob of picking 1 b, 1 w, 1 o, and 1 t? 12/91 Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {p: 6, z: 2, a: 1, b: 4, n: 3, v: 3}. 1/19 What is prob of picking 3 q when three letters picked without replacement from hqhqq? 1/10 Calculate prob of picking 2 g and 2 c when four letters picked without replacement from {g: 2, c: 18}. 3/95 What is prob of picking 2 z and 1 m when three letters picked without replacement from {h: 1, z: 2, t: 3, p: 8, j: 1, m: 3}? 1/272 What is prob of picking 2 x and 1 m when three letters picked without replacement from oxmdooqmxomgmgggxo? 1/68 Four letters picked without replacement from {b: 1, t: 7}. Give prob of picking 1 b and 3 t. 1/2 Two letters picked without replacement from ccqcqqccqcccccqccc. Give prob of picking 2 c. 26/51 What is prob of picking 3 o when three letters picked without replacement from opooop? 1/5 What is prob of picking 2 d when two letters picked without replacement from {i: 1, d: 3}? 1/2 Calculate prob of picking 1 u, 1 i, and 1 b when three letters picked without replacement from {u: 4, y: 1, i: 7, g: 2, b: 5, l: 1}. 7/57 Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {t: 2, q: 4}. 1/5 Calculate prob of picking 1 t and 1 s when two letters picked without replacement from rtqsgtgrbggrrbbrbrrr. 1/95 Four letters picked without replacement from hgdhgdhgdb. Give prob of picking 1 b, 1 h, 1 g, and 1 d. 9/70 What is prob of picking 3 f and 1 a when four letters picked without replacement from {a: 1, f: 1, l: 1, k: 2, o: 2, i: 1}? 0 Three letters picked without replacement from euugvgeugueu. What is prob of picking 1 u, 1 e, and 1 g? 9/44 Three letters picked without replacement from ymdyyy
{ "pile_set_name": "DM Mathematics" }
out replacement from {x: 9, o: 9}. What is prob of picking 4 o? 7/170 Calculate prob of picking 1 t and 2 g when three letters picked without replacement from tgbtbbbbtbbbbbgtgb. 1/68 Two letters picked without replacement from gddddrgggigdmddggdg. Give prob of picking 1 m and 1 i. 1/171 Two letters picked without replacement from xmfxmffmfxx. Give prob of picking 2 f. 6/55 What is prob of picking 3 c and 1 m when four letters picked without replacement from {q: 2, o: 1, c: 4, w: 1, m: 1}? 2/63 What is prob of picking 1 s and 2 q when three letters picked without replacement from {q: 4, s: 1, m: 4, w: 2}? 2/55 Three letters picked without replacement from hshhhhsshhss. Give prob of picking 1 h and 2 s. 7/22 Three letters picked without replacement from {j: 6, l: 1, h: 3, d: 4, e: 2}. What is prob of picking 2 j and 1 e? 3/56 Calculate prob of picking 1 o and 1 v when two letters picked without replacement from doddvdododfddofddooo. 7/190 Four letters picked without replacement from ilidilolliliiilooi. Give prob of picking 1 d, 1 i, and 2 o. 2/255 Calculate prob of picking 2 l and 2 a when four letters picked without replacement from alllllaaalaa. 5/11 Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, c: 2, t: 4}. 1/28 Four letters picked without replacement from {h: 2, n: 3, s: 9, a: 3}. What is prob of picking 1 h and 3 s? 6/85 What is prob of picking 1 i and 1 v when two letters picked without replacement from {i: 2, v: 4, t: 2, f: 2, x: 7}? 1/17 Two letters picked without replacement from uuauwauuwuuufuwuwa. What is prob of picking 2 w? 2/51 What is prob of picking 1 h and 1 x when two letters picked without replacement from hxhh? 1/2 Three letters picked without replacement from {x: 1, s: 1, g: 3, v: 3, e: 5}. Give prob of picking 2 e and 1 g. 15/143 What is prob of picking 1 e and 1 j when two letters picked without replacement from hhjhhhheh? 1/36 What is prob of picking 1 c and 2 i when three letters picked without replacement from {c: 2, s: 1, p: 8, i: 2}? 1/143 What is prob of picking 2 x, 1 f, and 1 v when four letters picked without replacement from nxnnnnffxxfmvxxnm? 3/238 Two letters picked without replacement from {v: 1, s: 2, x: 2}. What is prob of picking 2 x? 1/10 Three letters picked without replacement from rjkcrrkrjwlwlw. Give prob of picking 1 j, 1 l, and 1 k. 2/91 Three letters picked without replacement from zzqzjbzjcjzzjzczz. Give prob of picking 2 j and 1 q. 3/340 Three letters picked without replacement from {x: 3, e: 1, n: 2, h: 3, l: 1}. What is prob of picking 2 x and 1 l? 1/40 Four letters picked without replacement from vqkkkvqkqzsqvkzkkq. What is prob of picking 1 q, 2 v, and 1 k? 7/204 Two letters picked without replacement from {t: 1, z: 2}. Give prob of picking 2 z. 1/3 Calculate prob of picking 1 p, 2 s, and 1 o when four letters picked without replacement from xospxppsws. 3/70 What is prob of picking 1 b and 1 i when two letters picked without replacement from {p: 5, b: 8, i: 5}? 40/153 What is prob of picking 2 o and 2 k when four letters picked without replacement from {o: 7, k: 2}? 1/6 Calculate prob of picking 1 v and 1 r when two letters picked without replacement from rolrvl. 2/15 Calculate prob of picking 1 g and 2 d when three letters picked without replacement from {i: 1, h: 1, d: 2, g: 4, v: 2}. 1/30 What is prob of picking 2 h and 1 l when three letters picked without replacement from lddljdhdtdltjdllhdd? 5/969 Three letters picked without replacement from {o: 2, m: 2, c: 1, h: 4, q: 1}. What is prob of picking 1 o and 2 m? 1/60 Two letters picked without replacement from {y: 5, r: 2, s: 2}. What is prob of picking 1 s and 1 r? 1/9 Calculate prob of picking 2 w when two letters picked without replacement from {u: 3, w: 11}. 55/91 What is prob of picking 2 q when two letters picked without replacement from qqqqqqqqq? 1 What is prob of picking 1 l and 1 q when two letters picked without replacement from {e: 2, q: 3, x: 2, s: 3, l: 1, r: 9}? 3/190 Calculate prob of picking 3 m when three letters picked without replacement from {m: 1, e: 1, j: 2}. 0 Calculate prob of picking 2 w and 1 s when three letters picked without replacement from wtswwwtntnt. 2/55 Two letters picked without replacement from {u: 2, r: 4, o: 2, e: 1}. What is prob of picking 2 o? 1/36 Two letters picked without replacement from yfeykjyfkkeeykfyrfe. What is prob of picking 1 r and 1 y? 5/171 Four letters picked without replacement from sjsssssssssssss. Give prob of picking 1 j and 3 s. 4/15 Calculate prob of picking 1 l and 1 v when two letters picked without replacement from bvlbbbbdbbbbdlndbve. 4/171 Two letters picked without replacement from {w: 1, a: 2, q: 2}. What is prob of picking 1 a and 1 q? 2/5 Two letters picked without replacement from vtttgggvgt. Give prob of picking 1 v and 1 g. 8/45 What is prob of picking 1 n and 1 v when two letters picked without replacement from vnv? 2/3 What is prob of picking 1 e and 2 l when three letters picked without replacement from {s: 10, l: 5, e: 4}? 40/969 Two letters picked without replacement from aawawww. Give prob of picking 2 w. 2/7 What is prob of picking 2 s and 2 q when four letters picked without replacement from sqqqqqqqsqqqqqqqqqq? 2/57 Four letters picked without replacement from vvvkvkkkkmkmkq. Give prob of picking 1 m, 2 v, and 1 k. 12/143 Three letters picked without replacement from {s: 9, v: 4, z: 1}. Give prob of picking 1 v, 1 z, and 1 s. 9/91 What is prob of picking 4 n when four letters picked without replacement from nnnnn? 1 Two letters picked without replacement from wmdqbjb. What is prob of picking 1 b and 1 m? 2/21 Calculate prob of picking 3 z when three letters picked without replacement from zczcmzmmmmcmmmmc. 1/560 Two letters picked without replacement from nnnrwnqnraaanqrni. Give prob of picking 2 n. 21/136 Calculate prob of picking 1 p, 2 l, and 1 t when four letters picked without replacement from leplppeptpp. 1/55 What is prob of picking 1 e, 1 a, 1 q, and 1 k when four letters picked without replacement from {c: 4, a: 7, q: 3, e: 1, k: 1}? 3/260 Two letters picked without replacement from {l: 1, e: 1, m: 1, f: 4, b: 6}. What is prob of picking 1 b and 1 f? 4/13 Two letters picked without replacement from okkioi. Give prob of picking 1 o and 1 k. 4/15 Four letters picked without replacement from tddifdffwxwt. Give prob of picking 1 x, 1 i, 1 f, and 1 t. 2/165 Two letters picked without replacement from sfssbfllfssbfsbsffs. Give prob of picking 2 s. 28/171 Calculate prob of picking 3 g and 1 z when four
{ "pile_set_name": "DM Mathematics" }
= 388*w - 442. What is -11*m(c) + n(c)? 388*c - 2 Let d(p) = -344*p - 19. Let u(n) = -176*n - 10. What is 5*d(j) - 9*u(j)? -136*j - 5 Let p(l) = -l - 185. Let g(d) = -3478*d - 1930290. What is -g(s) + 10434*p(s)? -6956*s Let j(c) = c. Let q(h) = 30*h + 2. Let w be (14/(-2))/((-49)/42). What is w*j(t) + q(t)? 36*t + 2 Let p(z) = 19*z**3 + z**2 + 18*z - 9. Let h(s) = 2*s**3 + 2*s - 1. Let n(f) = 9*h(f) - p(f). Let b(a) = 70*a**3 + 35*a**2. What is b(i) + 35*n(i)? 35*i**3 Let d(p) = -139*p + 18. Let q(g) = 3*g - 2. Determine -d(h) - 6*q(h). 121*h - 6 Let q(h) be the first derivative of -h**2/2 - h - 11. Let n(s) = 8 + 10*s + 19 - 23. Determine -n(f) - 2*q(f). -8*f - 2 Suppose -10*q + 1655 = -825. Let l = -246 + q. Let f(h) = 7*h - 15. Let d(s) = -3*s + 7. Calculate l*f(n) + 5*d(n). -n + 5 Let w(k) = 3*k**2 - 24*k + 3. Let u be w(8). Let r(b) = 95*b + u - 45*b - 49*b. Let x = -16 + 26. Let d(l) = -2*l - 7. What is x*r(c) + 4*d(c)? 2*c + 2 Let s(m) = 7*m**3 - 4*m**2 + 5*m + 6. Let x = -122 + 123. Let y(k) = -k**3 + k**2 - k - 1. Calculate x*s(g) + 4*y(g). 3*g**3 + g + 2 Let p(s) = -9*s**3 + s + 13. Let q(i) = 2*i**3 - 3. Suppose -7*o = -121 + 65. Let t be (2 - (-40)/(-32))*o. Calculate t*p(u) + 26*q(u). -2*u**3 + 6*u Let y(g) = -g**2 + g + 1. Let v = -268 - -269. Let q be (-1 + -6 + v)*-1. Let n(m) = -8*m**2 + 6*m + 2. Give q*y(x) - n(x). 2*x**2 + 4 Suppose -z = 3*a + 7, -2*a = 552*z - 553*z + 18. Let i(x) = 2*x + 14. Let h(r) = -r - 13. Give a*h(j) - 4*i(j). -3*j + 9 Let m(t) = 2*t**3 + 7*t**2 - t + 2. Suppose -425 = 1100*l - 1185*l. Let o(q) = 3*q**3 + 11*q**2 - q + 3. Determine l*o(v) - 8*m(v). -v**3 - v**2 + 3*v - 1 Let w(v) = -153*v**3 - 24*v + 6. Let j(s) = 152*s**3 + 18*s - 6. Give -4*j(t) - 3*w(t). -149*t**3 + 6 Let a(i) = 10*i - 1 + 25 - 5. Let b(g) = 5*g + 9. Let n(o) = 3*a(o) - 7*b(o). Let q = -40067 + 40070. Let z(c) = 6*c + 7. Determine q*z(x) + 4*n(x). -2*x - 3 Let y(h) = -714*h - 1425. Let j be y(-2). Let x(r) = 6*r**2 - 48*r. Let v(n) = -2*n**2 + 16*n. What is j*x(w) + 8*v(w)? 2*w**2 - 16*w Let p(a) = -1721*a + 5. Let g(x) = 3446*x - 12. Determine -4*g(c) - 10*p(c). 3426*c - 2 Let u = -41 - -44. Let q(v) = 4*v**u - 3*v**2 + 26*v - 27*v + 4*v**3. Let o(t) = -15*t**3 + 5*t**2 + t. Determine -3*o(g) - 5*q(g). 5*g**3 + 2*g Let c(v) = 6*v**2 - 69*v + 8. Let q(x) = 3*x**2 - 35*x + 4. What is 6*c(p) - 11*q(p)? 3*p**2 - 29*p + 4 Suppose -7154*s - 208 = -7050*s. Let p(u) = 67*u**3 - 2*u**2 + 2*u - 2. Let d(i) = 66*i**3 - 3*i**2 + 3*i - 3. Calculate s*d(x) + 3*p(x). 69*x**3 Let t = 82 - 82. Suppose a - 23 + 24 = t. Let g(q) = -q + 1. Suppose 0 = 2*p + 5*m + 16, 3*p + 4*m + 8 = -9. Let f(h) = 4*h. Determine a*f(w) + p*g(w). -w - 3 Let c(p) = p - 2. Let t(l) = -1. Let w = -384 + 356. Let a be w/(-32) - (3 + -10)/56. What is a*c(f) - t(f)? f - 1 Let f(x) = -48*x**2 + 116. Let c(j) = -25*j**2 + 55. Give -7*c(d) + 4*f(d). -17*d**2 + 79 Let p(q) = -4*q + 27. Let k(c) = 2*c - 5. What is -42*k(f) - 7*p(f)? -56*f + 21 Let o(c) = -14*c**2 + c + 6. Suppose 1096 = 28*g + 116. Let p(i) = 14 - g*i + 35*i - 12 - 5*i**2. What is -3*o(x) + 8*p(x)? 2*x**2 - 3*x - 2 Let i = -21 - -15. Let v(w) = -4*w + 2. Let k(y) = 3834*y - 3845*y - 23 + 51 - 22. What is i*k(h) + 17*v(h)? -2*h - 2 Let r be (-128)/20 - (688/80 + -9). Let z(k) = -7*k**3 + 6*k**2 + 9*k + 6. Let h(w) = -w**3 + w**2 - w + 1. Give r*h(m) + z(m). -m**3 + 15*m Let o(n) = 6*n**3 + n - 1. Let b(k) = -14726*k**3 - 2786*k + 2786. Calculate 2*b(m) + 5572*o(m). 3980*m**3 Let n(s) = 4 - 4 - 4*s. Let f(t) be the first derivative of 13*t**2/2 + 345. Let r = -1279 + 1277. Calculate r*f(q) - 7*n(q). 2*q Let o(m) = m**2
{ "pile_set_name": "DM Mathematics" }
. 13 Let v be -6*((-6)/24 - 111/36). Calculate the highest common factor of v and 50. 10 Suppose p = -3*v + 120 - 1, -3*p = -2*v + 61. Calculate the greatest common factor of 38 and v. 38 Let l(v) = v**3 - 3*v**2 + 9*v - 17. Let k be l(3). What is the greatest common divisor of k and 35? 5 Let v = 2059 - 1093. Calculate the greatest common divisor of 92 and v. 46 Suppose 2*g = 6*l - 7*l + 62, -5*g = 20. Calculate the highest common divisor of l and 455. 35 Let o = -261 - -285. Suppose -4*k = 4, -3 + 198 = 2*t - 3*k. Calculate the highest common factor of t and o. 24 Let y be (-111)/(-6) + 2/(-4). Suppose 0 = -m - 0*m. Suppose m = a - 0*a - 6. What is the highest common divisor of a and y? 6 Suppose -163*p = -154*p - 2430. What is the greatest common factor of p and 36? 18 Let d = -21 + 30. Let r(u) = -u**3 + 28*u - 2*u**2 - 4*u + 2*u**2 + 9*u**2 - 13. Let a be r(11). What is the greatest common factor of a and d? 9 Suppose -7*d + 127 + 6 = 0. What is the highest common divisor of d and 361? 19 Let g(t) = t**3 - 5*t**2 + 3*t + 4. Let r be g(5). Let m = 586 - 325. Let q = m - 223. Calculate the greatest common divisor of q and r. 19 Let i be (-2)/(5*(-4)/(-10))*-3. Suppose -j + 4*t + 25 = 3*t, 15 = -i*t. What is the highest common divisor of 100 and j? 20 Suppose 417 = 3*b - 27. Let p = 260 - b. Let c = p - 35. Calculate the greatest common factor of 7 and c. 7 Suppose 0 = 2*h + 5*k - 68 - 7, 0 = 5*k + 5. Calculate the greatest common factor of h and 25. 5 Let d be (4 + (-3)/6)*24/21. Let v(t) = 2*t**3 + 8*t**2 - 4*t + 2. Let k be v(d). What is the highest common factor of 22 and k? 22 Suppose -5*q + 9*q - 88 = 0. Let u be 4 - (0 - 0)*1. Suppose 0 = u*y - 55 - 33. Calculate the highest common factor of q and y. 22 Let a be (169 + -91)*(3/2 - -1). Calculate the greatest common divisor of a and 234. 39 Let v(c) = 3*c**2 + 11*c - 8. Let j(h) = -8*h**2 - 33*h + 23. Let s(g) = -4*j(g) - 11*v(g). Let t be s(10). Calculate the greatest common factor of t and 6. 6 Let n(w) = -10*w - 3 - 2*w**2 - w**2 + 1 + 2*w**2. Let j be n(-8). Suppose -j - 10 = -2*z. Calculate the greatest common divisor of 4 and z. 4 Suppose 4*o + 117 = -3*h, 2*h + 2*h - o = -156. Let a = h + 50. Let i = 148 - 27. Calculate the highest common factor of i and a. 11 Suppose 234 = -16*y + 10*y. Let g = 83 + y. What is the greatest common factor of g and 110? 22 Let f be (0 - (-4 + 2))/((-6)/801). Let a(c) = 170*c - 1. Let x be a(-1). Let p = x - f. Calculate the greatest common factor of p and 12. 12 Let z be ((-24)/(-28))/(2/7). What is the highest common factor of z and 3? 3 Suppose 0 = -m + 132 + 288. What is the highest common divisor of 20 and m? 20 Let h = -37 + 60. Let g(u) = u**3 - 24*u**2 + 22*u + 24. Let k be g(h). What is the greatest common factor of k and 11? 1 Let g(f) be the third derivative of f**5/60 + f**4/3 - 26*f**2. Let k be g(-14). What is the greatest common factor of 12 and k? 12 Suppose 2 = -0*p + p. Suppose 17*b - 864 = 5*b. Suppose 3*k + 72 = 7*k + j, 4*k + p*j - b = 0. What is the highest common divisor of 18 and k? 18 Suppose 17 - 14 = 3*a. Let w be (6/a*4)/(2/2). What is the highest common divisor of 36 and w? 12 Let k be 16/(-10)*15/(-6). Suppose k*y + 0 = 12. Let z(l) = 9*l**2 + l - 3. Let a be z(y). Calculate the highest common factor of 9 and a. 9 Suppose 0 = 5*o - 171 + 131. Let j be -2 + 5 + -1 + 3. Suppose -2*d = j*l - 198, -5*d = -d + 4. What is the greatest common divisor of l and o? 8 Let w be (4 + 65/(-15))/(2/(-42)). Suppose 2*i + 110 = w*i. Let q be ((-4)/6)/((-3)/495). What is the highest common divisor of q and i? 22 Let o(y) = 148*y + 12. Let n be o(3). What is the greatest common factor of 57 and n? 57 Let k(v) = -v**2 - 10*v - 16. Let p be k(-7). Suppose -o - 80 = -p*f + 4*o, o + 44 = 3*f. Calculate the highest common divisor of 154 and f. 14 Suppose 3*q - 157 = -x - 13, 0 = -3*q. Calculate the highest common divisor of 36 and x. 36 Let u = -43 - -23. Let q be (5/4)/(5/u). Let n = 11 + q. What is the greatest common factor of n and 2? 2 Let s = -72 - -55. Let z(v) = -2*v - 19. Let g be z(s). Suppose -3 - 6 = -3*c, -5*u + 660 = -5*c. Calculate the greatest common divisor of u and g. 15 Let f(j) = j**3 + 10*j**2 - 10*j - 30. Let r be f(-7). What is the greatest common divisor of 77 and r? 11 Let z(o) = -2*o**3 + 66*o**2 - 62*o - 48. Let c be z(32). What is the greatest common factor of 28 and c? 4 Suppose 3*d = d + 8. Suppose 2 + d = t. What is the highest common divisor of 42 and t? 6 Suppose 4*t - j - 95 - 198 = 0, -t + 5*j = -97. What is the highest common divisor of 396 and t? 36 Let i(q) = -11*q + 15. Let g be i(-6). Suppose -g - 117 = -2*j. Calculate the highest common factor of j and 11. 11 Suppose 230 = 2*o + 3*o. Let d = 822 + -799. Calculate the greatest common factor of o and d. 23 Suppose -3*o + 48 = 2*b - 5*o, -4*o - 8 = 0. Suppose -20*h - 44 = -24*h. Calculate the highest common factor of h and b. 11 Let y(z) = z**3 - 7*z**2. Let i be y(10). Suppose 7*b = 2*b + i. Suppose -5*v + 0*v + b = 0. Calculate the greatest common factor of v and 108. 12 Suppose -3*h = -5*m + 8, -3*h - h = 2*m - 24. Suppose h*r + 3*k - 2*k = 67, k = -5. Suppose -4*a + a = -135. Calculate the greatest common factor of a and r. 9 Let h(s) = 2*s
{ "pile_set_name": "DM Mathematics" }
7 = -l*t, 2*t + t = -3*b - 3 for b. -3 Let o be (1/(-2))/(2/(-44)). Let b = o - -3. Solve 0 = -4*c + 3*d + b, 0*d + 8 = c - 3*d for c. 2 Suppose 2*i - 2*p = 14, -8*i - 2*p = -7*i + 5. Solve l - i*l = 5*o + 1, -4*o + 10 = -2*l for o. 1 Let y(k) = k + 4. Let f be y(-4). Suppose -7 = -2*n - 2*o + 3, f = 3*n + o - 11. Solve -4*u - 21 + 9 = 0, 2*j + n = -u for j. 0 Let p be 28 + 0 + (-1 - -1). Let b = p + -10. Let v(t) = -t + 3. Let y be v(1). Solve 3*r - b = y*r + 4*o, o = 3*r + 1 for r. -2 Suppose 0 = -2*a + 6*a - 12. Let v = 0 + a. Let r = 1 - -2. Solve 0 = -v*z + g + r*g + 6, 3*z - 6 = -3*g for z. 2 Let j = -6 + 16. Solve 3*n + 2*z = -j + 1, -2*z = -2*n - 16 for n. -5 Let t be (0/2)/(-4 + 5). Let c = -99 + 139. Suppose -6*j + 2*j - 4*f + 72 = 0, -5*j + 5*f + c = t. Solve o = -3*s + j, -5*o = -2*s + 4*s - 13 for o. 1 Let z(m) = -m**3 + 4*m**2 - 4*m + 4. Let b be z(3). Let u = 2 - b. Let d be u/(-2 - (-27)/12). Solve -3*t = -o - 11, 4*t = -0*t - 4*o + d for t. 3 Let x(w) = -w**2 + 5*w + 4. Let a be x(6). Let i be ((-10)/6 - a)*6. Suppose i*z + z = 18. Solve 0 = -4*j - 4*d + 40, -z*j + 2*d = -4*j for j. 5 Let j(m) = -2*m - 9. Let s(r) = r - 11. Let o be s(5). Let h be j(o). Solve 0 = 4*n + 2*x - 16, -2*n = -0*n - h*x - 16 for n. 5 Suppose -19 = -2*p - 3*c, 3*p - 5*c = -3*c + 61. Solve -5*q - j + p = -11, -q + 2*j - 1 = 0 for q. 5 Let d be 0/(3/9 + 4/(-3)). Solve 2*q = -2 - d, -r = -2*q - 3 for r. 1 Let w = -245 + 350. Suppose -q + 53 - 192 = -4*b, 3*b - q - w = 0. Solve 5*k - 2*y - b = y, 2*k - 1 = -3*y for k. 5 Let d be (-6)/(-9) + 2/(-3). Suppose t = 4*o - 10, -3*o + d*t = -2*t - 10. Solve -o*u - 6*l + 12 = -l, -3*u - 32 = -5*l for u. -4 Let p(j) = -8*j + 4. Let l be p(-2). Suppose 4 - 1 = -u. Let h(w) = 2*w**2 + 3*w - 4. Let g be h(u). Solve 3*q - l = -4*a, 0*q = a + 3*q - g for a. 5 Suppose 3*n - 4*l - 20 = 18, 0 = -n - 5*l - 19. Let j be 16 - -1 - (-3 + n). Solve -z - 6 + 4 = v, -2*v = -3*z + j for z. 2 Let u = -11 - 8. Let j = -11 - u. Suppose j = 2*g - 8. Solve 2*v + 7 = 3*r, -2 = -3*v - g for r. 1 Suppose 7*k = 3*k + 12. Solve 3*q = -0*u + 4*u - 16, k*q = -5*u + 20 for q. 0 Suppose -2*s + 7*s - 10 = 0. Solve -3*r = -3*l + s*r - 3, 0 = -2*r for l. -1 Suppose 29*p - 26*p - 30 = 0. Solve -2*j + 10 = 2*k, p = j + 2*j + 2*k for j. 0 Let k(w) = 3*w**3 - 6*w + w + 4*w - 6 - 7*w**2 - 4*w**3. Let n be k(-7). Suppose -p - n = -4. Solve 3*l + 3 = 3*f - p, 5*f - 20 = -5*l for l. 1 Let s(o) = o**3 - o**2 + o + 12. Let v be s(0). Suppose 2*f - 3 + 27 = 0. Let t be f/(-42) - 12/(-7). Solve 4*d - v = -0*m + 2*m, -3*d + t*m + 10 = 0 for d. 2 Let r be 1/2 + 5/10. Let d be 0 - 0 - r - -1. Suppose d = 5*l - 20 - 20. Solve w - c = 0, 3*w - l = -w - 4*c for w. 1 Let u be (7 - 9) + (-20)/(-1). Suppose g + 4*g + 4*p = 12, p = -5*g + u. Solve -4*v + 2*v = -3*c - 1, -g*c = 3*v + 7 for v. -1 Suppose -p - p + 16 = 0. Let m(c) be the first derivative of -c**3/3 + 9*c**2/2 - 5*c + 1. Let t be m(p). Solve t*u + 2*u - 2*i = 23, u + 2*i + 5 = 0 for u. 3 Let o(g) = 4*g + 16. Let q(f) = -5*f - 17. Let x(k) = 4*o(k) + 3*q(k). Let p be x(-11). Solve 0 = -2*i - p, 3*w + 4*i = 2*w - 2 for w. 2 Let h be (-8)/20*-5 - 2. Let o = 2 + h. Solve 0 = 2*l - o*d - 4, 5*l - 7*d = -5*d + 13 for l. 3 Let c be 0/1 - 0/(-1). Suppose -x + 3 = u - 2*x, 0 = -3*u - 2*x + 4. Let s be 195/27 + u/(-9). Solve 5*h + b + 13 = 0, c = 5*h - 0*b - b + s for h. -2 Suppose p = 2*r + 10, -3*p + 2 = 3*r - 2*r. Solve -3*b + p*z + 2 = 10, 0 = -2*z + 2 for b. -2 Let u(r) = -r + 2. Let z be u(-3). Let j = -5 + z. Suppose 5*x - 5*p + 5 = 0, 0*x + x = 3*p - 11. Solve j = 4*n - n + 2*v, -x*n = 5*v for n. 0 Let o be 1/(2/(-9))*2. Let p = 9 + o. Solve -5*t - 2*r + 9 = 0, 0 = -p*r + 3*r + 9 for t. 3 Suppose -16*z = -21*z. Solve -g + 4*n + 1 = 0, -3*g + n - 3*n + 3 = z for g. 1 Suppose -5*q + 23 + 43 =
{ "pile_set_name": "DM Mathematics" }
mon denominator of k and 125/6. 138 Suppose 5*n - 110 = 2*w, -5*n - 95 = -10*n - w. What is the lowest common multiple of 16 and n? 80 Suppose -23*f = 38*f - 2684. Calculate the least common multiple of 6 and f. 132 Suppose -2*y - 2*y = -4*q + 32, -4*q + 2*y + 34 = 0. Suppose -7*k + q*k - 2 = 0. Find the common denominator of 56/11 and k*(-124)/(-20)*-1. 55 Let s be -1*5*40/(-50). Let o = -19 + s. What is the common denominator of (-2 - 0) + 290/o and 70/9? 9 Suppose 0 = -5*z + 155 + 65. Calculate the common denominator of -71/57 and (-1 - z/(-42))*(-82 - -3). 399 What is the common denominator of (-5 - (-252)/52) + (-952)/(-4160) and 127/240? 240 Suppose 0*f - 4*f + 8 = 0. Let r be 0 - (-1)/f*4. What is the lowest common multiple of 0 + r - (-24)/6 and 7? 42 Suppose -5*h - 14 = y, 4*h = 4*y - 14 - 2. What is the least common multiple of (-14)/h + 1/3 and 5? 5 Find the common denominator of -47/21 and (-7648)/(-5040) + (-2)/10. 63 Suppose -80 = -5*z + z. Suppose 8*v - z = 6*v. Calculate the lowest common multiple of 5 and v. 10 Let k be (-2)/((-3)/(-7) + 66086/(-154217)). Let p = -1586119/36 - k. Calculate the common denominator of p and ((-2)/(-21))/((-24)/(-1162)). 36 Suppose 0 = -3*q - 0*q - j + 23, -29 = -5*q + 3*j. Let k(m) = m**2 - 5*m + 2. Let r = -7 - -37. Calculate the lowest common multiple of k(q) and r. 240 Let a be 273/(-14)*(-4)/2. Find the common denominator of (a/(-8))/(20/16) and 47/3. 30 Suppose 0 = 5*t + 2918 + 3877. Let s be 320/t + 6/27. Let l = s + 3175/302. Calculate the common denominator of l and 45/28. 28 Let h be (-4)/6 + (-582)/396. Let n = 1021/66 + h. Find the common denominator of n and -20/3. 3 Let l = -21445 + 42712. Let u = -467957/22 + l. Find the common denominator of u and -73/12. 132 Let t = 10003/18 + -1669/3. What is the common denominator of (-4)/(-30)*(-2670)/(-80) and t? 180 What is the least common multiple of 5/(9/((-540)/(-25))) and 249? 996 Let g = 643/2 - 328. Calculate the common denominator of 6/(-40)*12/(-144)*1*28 and g. 20 Let m be (17/(-102))/(-1 + (-147670)/(-147676)). Let v = 4094 - m. Calculate the common denominator of v and 32/17. 153 Let m = -10306 - -164823/16. Let h be (4/75)/((-83)/3). Let w = h - -139057/16600. What is the common denominator of m and w? 16 Let m = -35643/62 - -575. Let r = 507 + -2033/4. What is the common denominator of r and m? 124 What is the common denominator of 39/46 and ((-92)/(-1150))/((-12)/(-565))? 690 Suppose 3*j - m = 2*m + 18, 4*j + m - 4 = 0. Suppose j*l + 8 = -4. What is the common denominator of (2/l)/(22/30) and -20? 11 Find the common denominator of (-297)/30 + 3/1 and ((-1)/5)/(2/43). 10 Let t = 5 - 1. Suppose o = -5*q + 26, 3*o = 2*q + t*o - 8. Calculate the lowest common multiple of ((-12)/(-5))/(q/15) and 11. 66 Let u be -5 - (-2 - 1/(-1)). Let w = -311/24 - -101/6. Calculate the common denominator of w and (89/(-24))/(u/(-6)). 16 Let v = 1 + 3. Suppose -b + 0*b + v = 0. Suppose 4*r - b = 20. What is the least common multiple of r and 10? 30 Let d = -2157/4 - -543. Calculate the common denominator of d and 65/6. 12 Let l be (-15)/(-3)*6/10. Suppose 0 = -l*c - 1 + 31. What is the least common multiple of 3 and c? 30 Let y = -7051247/132 + 53419. Calculate the common denominator of 21/16 and y. 528 Let f = 315647/25455 + -1/5091. Let o = 573790/27 - 21254. What is the common denominator of o and f? 135 Suppose -874 = -4*q + 366. Calculate the common denominator of q/(-12) - (-2 + 0) and -143/6. 6 Let f(b) = -b**3 + 5*b**2 + 5*b + 5. Let w be f(6). What is the lowest common multiple of ((-11)/4)/(w/(-8)*-2) and 12? 132 Suppose 0 = 2*u + 3*u - 60. Suppose -6*b + 80 = -2*b - 4*o, 0 = -b - 5*o - 10. Find the common denominator of (-2)/u + 112/b and -43/8. 40 Find the common denominator of (-136)/18 - (-21)/3 and 49/66. 198 Suppose -5*m = 10 - 5. Suppose 5*k - r = -6 - 22, -5*r - 5 = 4*k. Calculate the smallest common multiple of 1 and (m + -1)/(k/25). 10 Let s = 29706 - 1604275/54. What is the common denominator of -151/18 and s? 54 Let q = -122/547 + -27991/33914. Calculate the common denominator of q and -59/18. 558 Suppose 12 = -3*q, -8*j - 2*q = -6*j. Calculate the lowest common multiple of 2 and j. 4 What is the common denominator of ((1 - 1) + 59)*(-2)/42 and -13/57? 399 Suppose -z + 4*z + 4*v - 141 = 0, v = 0. Let c = z + -19. Calculate the common denominator of -67/18 and c. 18 Let i = -50771/8 - -6355. What is the common denominator of i and 39/11? 88 Let s(k) = -k**3 + 14*k**2 - 5*k - 100. What is the lowest common multiple of 714 and s(13)? 1428 Suppose 42 = 4*t + 2*b + 2, b = t - 10. What is the smallest common multiple of 4 and t? 20 Let l = -7/1333 + -51287/133300. Calculate the common denominator of l and 19/12. 300 Suppose -5*d + 20 = -15. Suppose 0 = -r + d. What is the lowest common multiple of r and 1? 7 Suppose o = 3*o. Suppose o = t - 2. Suppose p + t = 2*p. What is the lowest common multiple of 10 and p? 10 Calculate the common denominator of -3/20 and (-1)/((-411)/(-327) + -1). 140 Find the common denominator of (-2675)/(-800) + 1 + -4 and -123/40. 160 Let n = 4/25 - 91/100. What is the common denominator of n and 4/(-6) - 1396/(-168)? 28 Let b(m) = 23*m**3 + m + 1. Let v be b(-1). Let g = -20 - v. Suppose g*d - 18 = -0*d. Calculate the smallest common multiple of 10 and d. 30 Let w(i) = i + 5. Let j be w(-6). Let b = 7 - j. Calculate the least common multiple of 6 and b. 24 Let x = -121 + 222. Calculate the lowest common multiple of 5
{ "pile_set_name": "DM Mathematics" }
mmon multiple of 12 and k. 516 Let v(s) = 25*s**2 - s. Calculate the smallest common multiple of v(1) and (2 + 3/(-6))/(-16 - (-5772)/360). 360 What is the least common multiple of 900 and (-721)/21*-14 + (2 - (-16)/(-6))? 7200 Calculate the common denominator of ((-115)/(-252) + 15/60)*(-39)/195 and 41/210. 630 Let b be (2452078/(-8) - -2)/(-26). Let r = b + -11788. Calculate the common denominator of 3/(-12)*101 - (-90)/15 and r. 104 Suppose -2*i - 244 = -2*n, -382 = -6*n + 3*n - i. Find the common denominator of ((-1)/(-6) + 0)*n/4 and 14. 4 Let m(s) = -s**2 - 30*s + 69. Let j be m(-32). Suppose -2*p = j*p - 14. What is the lowest common multiple of 10 and p? 10 Let a = -2304875/32 + 60294365/736. Let f = a + -9906. Let c = f - -3131/322. What is the common denominator of -79/2 and c? 14 Let y(v) = 256 + 8 + 77*v**2 - 3*v - 76*v**2. What is the least common multiple of 6 and y(0)? 264 Let x be (-10)/40 + 2518/(-8). Let u = -275 - x. What is the lowest common multiple of u and 20? 40 Let k = 281/4 + -63. Let s = 8683601/1700 + -5108. Let g = s + -4931/1700. What is the common denominator of k and g? 20 Let u = 8783 - 8675. What is the least common multiple of u and 297? 1188 Let o = 53560128115/714 - 75014210. Let z = 24/119 - o. Find the common denominator of -41/70 and z. 210 Find the common denominator of 7*(-9)/(-3780)*(-4706)/221 and -49/850. 2550 Let i be (-260057)/(-14)*(-7)/56. Let b = 2320 + i. Let z = -30/41 - -2397/82. What is the common denominator of b and z? 16 Suppose -r - 4 = 2*p, -1144*p - 4 = 3*r - 1140*p. What is the least common multiple of 808 and r? 808 Let d(r) = -31 - 30*r + 9 + 72*r - 35*r. Let l be d(5). Calculate the common denominator of 18/624*-222 + 2/l and 21. 4 Let n = 2706 + -37853/14. Let f = 1599/44 + -221/11. What is the common denominator of f and n? 28 Let l = -2759 - -2755. Suppose 3*w - 5*w = -5*c + 149, c + 287 = -4*w. What is the common denominator of 81/8 and l/(-6) + 3/w*-530? 8 Let k(g) = 165*g**2 - 1234*g - 4. What is the smallest common multiple of 3648 and k(8)? 10944 Suppose z - 4 = 5*o + 20, -o = -3*z + 16. Suppose -5*x + 89 = 3*r, z*r + x = -3*x + 124. Calculate the lowest common multiple of r and 154. 462 Let w = 271 + -207. Calculate the least common multiple of w and 672. 1344 Let y = 3222 - 1538. Let o = -6813/4 + y. Find the common denominator of -99/4 and o. 4 What is the least common multiple of 181510/125 - 48/600 and 32? 11616 Suppose m + 13 = -2*n + 6*m, 3*n + 2 = 4*m. Suppose 0 = 3*z + 5*r + 367, r = n*z - 2*z + 451. Find the common denominator of (6/80)/(19/z) and -11/70. 140 Suppose -5*v = -4*u - 35, -7 - 3 = -u + 5*v. Suppose 6 = -2*g - 0*g. Find the common denominator of 52/11 and (183/u - g) + 10/25. 55 Find the common denominator of (312/117 - (-2941)/(-1104))/((-12)/159) and 9/320. 7360 Find the common denominator of 32/15 and 5*1 + -21*162/396. 330 Suppose 18 = c + 4*h, -5*c - 5*h = -43 + 13. What is the common denominator of ((-146)/16)/((-21)/(-28)) and (-2720)/(-528) - ((-4)/(-6))/c? 66 Let n(m) = 3*m**2 - 106*m - 293. Let j(q) = -q**2 + 2*q + 2*q**3 - q**2 - 1 + 0*q**2. What is the least common multiple of n(38) and j(2)? 11 Let q be 6/(-225)*6704402/(-4). Let k = q - 44695. What is the common denominator of -83/120 and k? 600 Let h = 266 - 272. What is the lowest common multiple of 25 and 29 + 4 - h/9*3? 175 Let l = -214 + 227. Calculate the common denominator of 1/(-2) + (-41)/l and 10. 26 Let r(y) = 8*y + 5. Let b be r(6). Suppose -32*c + 8576 = 66*c + 30*c. Let t = c - b. Calculate the smallest common multiple of t and 6. 42 Let c(t) be the first derivative of t**2/2 + 6*t - 289. Let n = -28 - -147. What is the smallest common multiple of n and c(3)? 1071 Suppose 0 = 3*l + 102 - 18. Let i = -22 - l. What is the smallest common multiple of i and (1 + 2 - 6)*-6? 18 Let f(q) = -q**2 - 6*q + 32. Let g be f(6). Calculate the common denominator of 5 + -2 - (-138)/132 and 106/g*(-3 - -2). 220 Let x(q) = -17*q - 8. Let l be x(0). What is the common denominator of 149/66 and l/28 - (-4)/((-504)/741)? 66 Suppose 20 = -4*q, 0*t + 2*t + 5*q - 143 = 0. What is the lowest common multiple of t and -8 + (-11)/((-66)/168)? 420 Let g = -8985 - -9039. Calculate the lowest common multiple of 648 and g. 648 Let o = -279785/24 - -11657. Calculate the common denominator of o and 55/123. 984 Let p = 1366688413/1446 - 945151. Find the common denominator of p and 7/8. 5784 Let k = 1203247/186 - 6469. What is the common denominator of -91/36 and k? 1116 What is the common denominator of (-62)/(-713)*55/(-6) and (459/90)/(2 + 46/(-14))? 690 Find the common denominator of (5751/6480)/(2/5) and -113/288. 288 Let v = -245 + 248. Suppose 2*c + c = 5*z + 190, -v*z = -2*c + 127. Calculate the smallest common multiple of c and 55. 715 What is the least common multiple of 52 and ((-25484)/92)/(1 + -2)? 14404 Calculate the common denominator of -3*(-855)/1782*3 and -77/24532. 269852 Suppose 2*k + 6 - 4 = 0, 4*k = q - 391. Let b = q - 367. Calculate the lowest common multiple of 4 and b. 20 Let x = 2936/83 + -3570487/101094. Calculate the common denominator of x and 37/63. 3654 Let k = -53 - -53. Let t be ((-111)/12 - k)/(45/187765). Let n = -38593 - t. Calculate the common denominator of n and 13/6. 36 Let a = -50307/28 - -1800. Find the common denominator of 127/18 and a. 252 Let n = 9/91 + -137
{ "pile_set_name": "DM Mathematics" }
= 1251790 + 106360. What is the ten thousands digit of k? 1 Let h be (-4)/7 + (10 - (-7190)/14). Suppose 25 = 5*c, 2*c + 142 - h = -p. What is the units digit of p? 1 Suppose -4*l = -3*n - 53, -4*n = -4*l + 2*l + 24. Let d be 40/l - (-7)/49. Suppose y = -d*y + 12, -5*a + 131 = 2*y. What is the tens digit of a? 2 Suppose -22*h = -3*l - 19*h - 5301, 3*l = h - 5307. Let z = l + 2567. What is the hundreds digit of z? 7 Let k be (6 - 31/5) + (-22)/(-10). What is the hundreds digit of (-1 + -3 + 79)*(3 + k)? 3 Suppose 3 - 9 = 2*f + 4*k, 5*f = -5*k - 20. What is the hundreds digit of ((-8)/(-8))/(f/(-4835))? 9 Let a(b) = -2*b**3 - 32*b**2 + 33*b - 13. Let g be a(-17). Suppose 2002 = 2*z - 2*m, m = 2*z - g*z + 1987. What is the hundreds digit of z? 9 Let q = 9083 - 3573. What is the hundreds digit of q? 5 Let i(w) = -w**3 - 20*w**2 - 24*w - 64. Suppose 27*p + 742 - 202 = 0. What is the tens digit of i(p)? 1 Let l be ((-1)/(-3))/((-8)/(-8472)). Suppose -o - 3*v + l = -0*o, o - 4*v = 367. Suppose 371 = 10*k - o. What is the units digit of k? 3 Let u be 114/27 - 4/18. Let h be (-2)/(0 + u/(-560)). Suppose -3*a - 4*k = -h, 290 = -a + 4*a - k. What is the units digit of a? 6 Let y = 584 + 5726. What is the hundreds digit of y? 3 Suppose -6*l + 2833 + 36749 = 0. What is the units digit of l? 7 Suppose -7*r = 13 - 27. Let m(u) = 158*u**3 - 4*u**2 + 5*u - 4. What is the thousands digit of m(r)? 1 Let b = 1061 + -687. Suppose -6*f = -370 - b. What is the hundreds digit of f? 1 Suppose 0 = 41*i - 31*i - 108930. What is the units digit of i? 3 Let r = 2043 - -16484. What is the hundreds digit of r? 5 Suppose 34*k + 120*k - 3470576 = 1179762. What is the hundreds digit of k? 1 Let k = -858 - -19087. What is the units digit of k? 9 Suppose y - 12 = 7*y. Let d be -2 + (-3 - y) + 3. Suppose -2*j + 42 = v, d = 4*j + 2*v + v - 86. What is the tens digit of j? 2 Let o = 61 - 49. What is the tens digit of 2/3 + 1948/o? 6 Suppose -k - j - 37 = 0, -7*k + 3*k + 3*j - 141 = 0. What is the hundreds digit of -62*(-2 + k/8) - 4? 3 Let z(x) = -256*x**2 + 448*x + 10. Let v(m) = -171*m**2 + 299*m + 7. Let d(y) = 7*v(y) - 5*z(y). What is the units digit of d(5)? 9 Let s(o) = 5*o**2 + 8*o + 229. What is the tens digit of s(37)? 7 Let l be ((-4)/(-3) + 0)*(-3)/(-2). Suppose -s + 432 = 2*p, 0 = l*s + 2*p - 283 - 589. What is the tens digit of s? 4 Suppose 0 = -876*i + 880*i - 30300. What is the tens digit of i? 7 Let y = -38 + 43. What is the tens digit of 2 - (y - 234) - -3? 3 Let v(b) = b**3 + b**2 - 4*b - 40. Let n(i) = -4*i**3 - 2*i**2 + 10*i + 118. Let c(g) = 5*n(g) + 14*v(g). What is the tens digit of c(-5)? 1 Suppose 36*b + 7513 = 38*b - 3*q, -2*b - q = -7509. What is the tens digit of b? 5 Let z = 10538 + -1219. What is the hundreds digit of z? 3 Let n = 120 - 112. What is the tens digit of (n + (-22)/3)*39*13? 3 Let q = -36061 - -98593. What is the hundreds digit of q? 5 Let z(k) = 16*k**2 - 3*k - 50. Let w be z(7). Let u = 1249 - w. What is the tens digit of u? 3 Let v be (50/30)/((-2)/(-1332)). Suppose 4*b + v = 2*i, 0 = 6*i - 10*i - b + 2229. What is the hundreds digit of i? 5 Suppose -a + 50 = 4*a - 5*x, -a + 22 = 5*x. Suppose 0 = -f - 48 - 31. Let t = a - f. What is the units digit of t? 1 Let g(m) be the second derivative of m**5/20 + 25*m**4/12 - 11*m**3/6 - 29*m**2 + 97*m. What is the hundreds digit of g(-25)? 2 Let c = -34 - -24. Let j(l) = -l + 6. Let d be j(c). Suppose 13*h = d*h - 192. What is the units digit of h? 4 Suppose -3238596 = -125*t + 601154. What is the ten thousands digit of t? 3 Suppose 0 = -4*a - 1487 + 5863. Let h = a - 730. What is the hundreds digit of h? 3 Let d(a) = 406*a - 1507. What is the thousands digit of d(20)? 6 Suppose 190*k + 2302072 = 6061117 + 11848695. What is the hundreds digit of k? 1 Let k be (113103/(-3))/(-9) + 9. What is the tens digit of k/7 + 72/252? 0 Suppose 4 = -4*s, -n - 354 + 1724 = 4*s. Let k = 2433 - n. What is the thousands digit of k? 1 Let a(q) = -1 + 126*q + 438*q + 0 + 6. What is the units digit of a(1)? 9 Let l = 55389 - -5554. What is the hundreds digit of l? 9 Let h be (-2)/27*-996 - (-8)/36. Let v = h - -207. What is the tens digit of v? 8 What is the units digit of -3*(4/(-6) - (-12 + 124))*27? 6 Let h(i) be the third derivative of 0 + 3/10*i**5 + 1/3*i**3 - 33*i**2 + 0*i + 1/8*i**4. What is the units digit of h(2)? 0 Suppose -4*k = 3*p - 102, 150 = 4*p - k - 5. Suppose 35*g = p*g - 1083. What is the units digit of g? 1 What is the units digit of 495 + 1 + -2 + 514/514? 5 Suppose -5*y + 114569 = n, 91690 = -3*y + 7*y - 5*n. What is the hundreds digit of y? 9 Suppose 3684866 = 40*m - 8*m + 35*m. What is the ten thousands digit of m? 5 Suppose 15*d = 18*d, 0 = -14*s + 5*d + 94486. What is the thousands digit of s? 6 What is the hundreds digit of (-3670)/(-2) + -3 - (5
{ "pile_set_name": "DM Mathematics" }
at most as big as a? False Let n = -2.1 - -1.6. Is n smaller than -0.2? True Let d(h) = -2*h**3 + h**2 - 1. Let s(t) = t**3 + 2*t**2 - 2*t + 2. Let z be s(-3). Let j be d(z). Let p be 3/j*4/2. Which is smaller: 4 or p? p Let f = -3.02 - -0.02. Let n = f - -6. Which is greater: -3/5 or n? n Let p = -22 + 21. Which is bigger: p or -4/9? -4/9 Let f be 8/(-52) + (-2)/(-13). Is f at most as big as -1/33? False Suppose p = -3*i + 3 - 5, 3*i = 2*p + 4. Which is greater: p or 1? 1 Let y = 765/7 - 109. Does -1 = y? False Let j = 2.2 - 2. Let w = 0.12 - 0.22. Which is bigger: w or j? j Let x(b) be the first derivative of 9*b**2/2 - 13*b - 3. Let u(i) = 5*i - 6. Let l(k) = -5*u(k) + 3*x(k). Let m be l(7). Is m smaller than -0.1? False Let b = -33 + 61. Let o be (-7 + -1)*(-21)/b. Is o equal to 8? False Suppose 0 = -3*c + 3*n + 12, -2*c = -5*c - 5*n + 4. Which is bigger: c or 0? c Let h be ((-27)/15)/((-1)/5). Let t = h - 6. Which is bigger: -1 or t? t Let u(h) = -2*h**2 - h**3 - 2*h**2 + 5*h - h**2 - 4. Let b be u(-6). Suppose 3*x + t = 8, 12 = -5*x + 4*t - 3. Which is smaller: x or b? x Let w(a) be the third derivative of a**5/60 + 5*a**3/6 - 3*a**2. Let t be w(0). Let u = -13 - -18. Is u <= t? True Let h(r) = -3*r**3 - r**2 + r - 7. Let c(n) = -13*n**3 - 3*n**2 + 3*n - 29. Let i(m) = 2*c(m) - 9*h(m). Let q be i(-4). Which is bigger: q or -2/9? q Let a be 3 + (0 - -2 - 1). Let c = a - 0. Is c less than or equal to 4? True Let f(j) = -j**2 + 9*j. Let t be f(9). Which is greater: t or 2/37? 2/37 Let s = 6/11 - 34/143. Is s less than 1? True Let o be (-16)/(-99) - (-22)/(-121). Which is smaller: 1 or o? o Let z(d) = d**2 + 8*d - 9. Let g be z(-9). Is g != 8/7? True Let p = 8 - 8.8. Let i = -0.1 + 0.8. Let s = p + i. Is 6 greater than s? True Let z = 11 - 22. Let c = z + 12. Is c smaller than 4? True Let f(h) = h - 2. Let l be f(2). Suppose l*w = 2*w + 2. Let m be 1/(-3) - (-2)/3. Which is bigger: w or m? m Suppose 4*p = 3*f + p + 39, -4*f - p - 72 = 0. Is f less than -17? False Let z = 0 - 0.1. Let m = -11.866 + -0.234. Let h = m + 12. Is h >= z? True Let u be ((-8)/(-22))/(-1 + 2). Which is bigger: u or 0? u Let x = -1.9 - -2. Suppose b - 7 = 2*s, 5*b - 10 - 11 = -4*s. Let y be ((-2)/35)/(s/10). Is y less than or equal to x? False Let t be (0 + 1)/(9/(-3)). Let b = 123037/28 + -4392. Let u = b - 17/7. Which is smaller: t or u? t Let z = 34 + -58. Let d be ((-6)/1)/((-15)/10). Let c be (4/z)/(1/d). Which is smaller: c or -2? -2 Suppose -2*f = 22 - 50. Which is smaller: 10 or f? 10 Let u(g) = -2*g**3 + 19*g**2 - 4*g - 6. Let q be u(10). Is q at least as big as -146? True Let g be (-2)/(-1) - 1/((-2)/(-46)). Which is bigger: -20 or g? -20 Let w(h) = -2*h + 1. Let g be w(0). Let x be g/4 + 25/(-20). Suppose -u + 10 = -6*u. Are u and x nonequal? True Let x = -0.52 + -36.48. Which is smaller: -2 or x? x Let t = 3218 + -685432/213. Is t not equal to 1? True Let n(c) = -7*c**2 - 7*c - 2. Let a(m) = -m**3 - m**2. Let z(t) = -a(t) + n(t). Let g be z(7). Which is smaller: 0 or g? g Let g = 59 - 41. Suppose -g = 4*o + 3*j - 0, -1 = 3*o - 4*j. Let i be (o + 2)*(-4)/(-3). Is 0 <= i? False Suppose 2 + 0 = -2*l. Let a(z) be the second derivative of -z**3/6 - 7*z**2/2 + z. Let u be a(-8). Is u at most l? False Let x = -0.21 - -0.15. Let r = -31/3 + 29/3. Is x less than or equal to r? False Let g be (5 + 0 - 1) + 1. Suppose -g - 19 = -3*d. Suppose -3*s + s = -d. Is s > 5? False Let z(t) = t**2 + 13*t - 72. Let p be z(-18). Is p greater than or equal to 18? True Suppose 2*a + 6 = 3*a. Suppose -4*w = 5*q - 16, a*q = q + 3*w - 12. Which is smaller: 9 or q? q Let i = 0 - -17. Let x = i + -12. Suppose 2*h + 21 = -5*l, 4*l + x + 11 = -2*h. Is 3 bigger than h? True Let i(t) = -4*t - 20. Let v be i(-7). Which is greater: v or -3/2? v Let a = -1 - -0.8. Let u = -0.25 - -1.25. Which is smaller: a or u? a Let f = -107 + 108. Let i = -0.2 - -0.1. Which is bigger: i or f? f Suppose 0 = 4*a + 3*l - 0 - 4, 4*l + 28 = 3*a. Suppose -a*m + 11 = -9. Suppose 2*s = j - 9, -j - 19 = -0*j + m*s. Which is smaller: j or 0? 0 Suppose -3*s + 4 = -s. Suppose 2*a = -s*a - 4. Let w be (a/2)/((-2)/4). Which is bigger: -1/6 or w? w Let q(k) = k**3 - 4*k**2 + 2*k - 5. Let w be q(4). Let n = -3 + w. Which is bigger: -1 or n? n Let y(t) be the first derivative of t**3/3 - 5*t**2 + 8*t + 2. Let
{ "pile_set_name": "DM Mathematics" }
inder when 398 is divided by 258. 140 What is the remainder when 9245 is divided by 18? 11 What is the remainder when 1193 is divided by 394? 11 What is the remainder when 16868 is divided by 148? 144 What is the remainder when 11230 is divided by 11? 10 Calculate the remainder when 169 is divided by 40. 9 Calculate the remainder when 282 is divided by 80. 42 What is the remainder when 484 is divided by 9? 7 What is the remainder when 235 is divided by 96? 43 What is the remainder when 100 is divided by 2? 0 Calculate the remainder when 498 is divided by 105. 78 What is the remainder when 428 is divided by 54? 50 What is the remainder when 272 is divided by 21? 20 Calculate the remainder when 41 is divided by 18. 5 What is the remainder when 130 is divided by 59? 12 What is the remainder when 424 is divided by 13? 8 Calculate the remainder when 1951 is divided by 93. 91 What is the remainder when 410 is divided by 25? 10 What is the remainder when 230 is divided by 34? 26 What is the remainder when 2133 is divided by 22? 21 Calculate the remainder when 583 is divided by 98. 93 Calculate the remainder when 45 is divided by 23. 22 What is the remainder when 206 is divided by 58? 32 What is the remainder when 3638 is divided by 14? 12 Calculate the remainder when 7821 is divided by 289. 18 What is the remainder when 275 is divided by 30? 5 What is the remainder when 848 is divided by 209? 12 What is the remainder when 1877 is divided by 4? 1 Calculate the remainder when 748 is divided by 58. 52 What is the remainder when 2105 is divided by 124? 121 Calculate the remainder when 104 is divided by 22. 16 Calculate the remainder when 1676 is divided by 35. 31 Calculate the remainder when 502 is divided by 142. 76 Calculate the remainder when 914 is divided by 66. 56 Calculate the remainder when 394 is divided by 57. 52 Calculate the remainder when 42 is divided by 9. 6 What is the remainder when 920 is divided by 19? 8 Calculate the remainder when 237 is divided by 49. 41 Calculate the remainder when 632 is divided by 313. 6 Calculate the remainder when 105 is divided by 22. 17 Calculate the remainder when 1002 is divided by 437. 128 What is the remainder when 3636 is divided by 281? 264 What is the remainder when 142 is divided by 59? 24 Calculate the remainder when 83 is divided by 54. 29 Calculate the remainder when 581 is divided by 8. 5 Calculate the remainder when 3470 is divided by 184. 158 Calculate the remainder when 154 is divided by 12. 10 Calculate the remainder when 556 is divided by 92. 4 What is the remainder when 1793 is divided by 78? 77 Calculate the remainder when 406 is divided by 143. 120 Calculate the remainder when 264 is divided by 51. 9 Calculate the remainder when 210 is divided by 37. 25 What is the remainder when 75 is divided by 19? 18 Calculate the remainder when 409 is divided by 31. 6 Calculate the remainder when 208 is divided by 11. 10 Calculate the remainder when 369 is divided by 31. 28 What is the remainder when 129 is divided by 20? 9 Calculate the remainder when 312 is divided by 45. 42 Calculate the remainder when 68 is divided by 4. 0 What is the remainder when 78 is divided by 43? 35 Calculate the remainder when 549 is divided by 140. 129 Calculate the remainder when 2141 is divided by 17. 16 What is the remainder when 317 is divided by 2? 1 Calculate the remainder when 885 is divided by 294. 3 What is the remainder when 87 is divided by 46? 41 What is the remainder when 6044 is divided by 93? 92 Calculate the remainder when 121 is divided by 92. 29 What is the remainder when 130 is divided by 19? 16 What is the remainder when 2357 is divided by 59? 56 Calculate the remainder when 418 is divided by 28. 26 What is the remainder when 890 is divided by 12? 2 Calculate the remainder when 71 is divided by 18. 17 What is the remainder when 313 is divided by 303? 10 What is the remainder when 29914 is divided by 9? 7 What is the remainder when 136 is divided by 35? 31 What is the remainder when 492 is divided by 26? 24 Calculate the remainder when 266 is divided by 63. 14 What is the remainder when 175 is divided by 16? 15 Calculate the remainder when 825 is divided by 205. 5 What is the remainder when 128 is divided by 11? 7 Calculate the remainder when 94 is divided by 24. 22 Calculate the remainder when 359 is divided by 73. 67 What is the remainder when 259 is divided by 66? 61 What is the remainder when 2516 is divided by 72? 68 Calculate the remainder when 945 is divided by 74. 57 What is the remainder when 526 is divided by 86? 10 Calculate the remainder when 270 is divided by 34. 32 Calculate the remainder when 536 is divided by 16. 8 Calculate the remainder when 33574 is divided by 25. 24 What is the remainder when 502 is divided by 44? 18 Calculate the remainder when 483 is divided by 4. 3 What is the remainder when 36 is divided by 14? 8 Calculate the remainder when 79 is divided by 24. 7 What is the remainder when 4344 is divided by 394? 10 What is the remainder when 221 is divided by 139? 82 Calculate the remainder when 223 is divided by 71. 10 Calculate the remainder when 337 is divided by 68. 65 What is the remainder when 2962 is divided by 38? 36 What is the remainder when 34 is divided by 15? 4 Calculate the remainder when 120 is divided by 33. 21 Calculate the remainder when 31 is divided by 12. 7 What is the remainder when 166 is divided by 22? 12 What is the remainder when 1617 is divided by 45? 42 What is the remainder when 1607 is divided by 95? 87 What is the remainder when 3216 is divided by 37? 34 What is the remainder when 9499 is divided by 76? 75 What is the remainder when 278 is divided by 155? 123 Calculate the remainder when 925 is divided by 101. 16 Calculate the remainder when 365 is divided by 6. 5 Calculate the remainder when 50 is divided by 6. 2 Calculate the remainder when 152 is divided by 14. 12 Calculate the remainder when 103 is divided by 21. 19 Calculate the remainder when 95930 is divided by 153. 152 What is the remainder when 4434 is divided by 29? 26 Calculate the remainder when 1732 is divided by 178. 130 What is the remainder when 269 is divided by 30? 29 Calculate the remainder when 34 is divided by 11. 1 What is the remainder when 169 is divided by 52? 13 Calculate the remainder when 347 is divided by 59. 52 What is the remainder when 42 is divided by 20? 2 What is the remainder when 1114 is divided by 15? 4 Calculate the remainder when 5935 is divided by 56. 55 Calculate the remainder when 2159 is divided by 60. 59 Calculate the remainder when 956 is divided by 43. 10 What is the remainder when 4778 is divided by 954? 8 Calculate the remainder when 255 is divided by 70. 45 Calculate the remainder when 1024 is divided by 18. 16 What is the remainder when 3065 is divided by 26? 23 What is the remainder when 1374 is divided by 27? 24 What is the remainder when 202 is divided by 42? 34 Calculate the remainder when 6883 is divided by 153. 151 What is the remainder when 1292 is divided by 148? 108 Calculate the remainder when 62 is divided by 23. 16 What is the remainder when 1895 is divided by 16? 7 Calculate the remainder when 279 is divided by 65. 19 What is the remainder when 1151 is divided by 185? 41 What is the remainder when 9 is divided by 7? 2 Calculate the remainder when 234 is divided by 44. 14 What is the remainder when 981 is divided by 31? 20 Calculate the remainder when 90 is divided by 13. 12 Calculate the remainder when 350 is divided by 69. 5 Calculate the remainder when 111 is divided by 98. 13 Calculate the remainder when 305 is divided by 117. 71 What is the remainder when 58 is divided by 6? 4 What is the remainder when 369 is divided by 54? 45 What is the remainder when 249 is divided by 68? 45 Calculate the remainder when 13572 is divided by 20. 12 Calculate the remainder when 39 is divided by 21. 18
{ "pile_set_name": "DM Mathematics" }
64. 2, 19079 List the prime factors of 750867. 3, 13, 1481 List the prime factors of 801508. 2, 151, 1327 What are the prime factors of 888634? 2, 41, 10837 List the prime factors of 2869766. 2, 1434883 List the prime factors of 121168. 2, 7573 What are the prime factors of 1069540? 2, 5, 53, 1009 List the prime factors of 232529. 11, 21139 List the prime factors of 502272. 2, 3, 109 List the prime factors of 607062. 2, 3, 23, 53, 83 What are the prime factors of 7650469? 2179, 3511 List the prime factors of 3901043. 3901043 What are the prime factors of 3604588? 2, 13, 103, 673 List the prime factors of 586875. 3, 5, 313 What are the prime factors of 202250? 2, 5, 809 List the prime factors of 345605. 5, 13, 409 What are the prime factors of 620127? 3, 68903 What are the prime factors of 900646? 2, 401, 1123 List the prime factors of 6685117. 6685117 What are the prime factors of 15485037? 3, 5161679 List the prime factors of 127078. 2, 7, 29, 313 What are the prime factors of 348753? 3, 101, 1151 What are the prime factors of 2157163? 2157163 List the prime factors of 233. 233 List the prime factors of 19905875. 5, 11, 31, 467 List the prime factors of 1625320. 2, 5, 179, 227 What are the prime factors of 21209324? 2, 29, 182839 What are the prime factors of 761898? 2, 3, 23, 5521 What are the prime factors of 1317172? 2, 329293 List the prime factors of 194473. 113, 1721 What are the prime factors of 25149046? 2, 13, 19, 50909 List the prime factors of 11760955. 5, 2352191 What are the prime factors of 63608? 2, 7951 What are the prime factors of 2458325? 5, 107, 919 List the prime factors of 818806. 2, 43, 9521 List the prime factors of 687859. 31, 22189 List the prime factors of 1382246. 2, 37, 18679 What are the prime factors of 1363034? 2, 139, 4903 List the prime factors of 2708055. 3, 5, 7, 8597 List the prime factors of 1796025. 3, 5, 7, 11, 311 List the prime factors of 74680. 2, 5, 1867 List the prime factors of 750633. 3, 13, 19, 1013 What are the prime factors of 2196020? 2, 5, 19, 5779 What are the prime factors of 7574800? 2, 5, 29, 653 List the prime factors of 11289549. 3, 31, 233, 521 List the prime factors of 2709726. 2, 3, 451621 List the prime factors of 6339566. 2, 3169783 List the prime factors of 390170. 2, 5, 11, 3547 What are the prime factors of 49449? 3, 53, 311 What are the prime factors of 2736253? 13, 210481 What are the prime factors of 7827769? 17, 137, 3361 List the prime factors of 90930. 2, 3, 5, 7, 433 What are the prime factors of 27136961? 659, 41179 List the prime factors of 398561. 41, 9721 What are the prime factors of 144182? 2, 72091 What are the prime factors of 7161027? 3, 23, 67, 1549 What are the prime factors of 1187467? 17, 23, 3037 What are the prime factors of 4752380? 2, 5, 237619 List the prime factors of 507073. 7, 107, 677 List the prime factors of 112343. 7, 11, 1459 What are the prime factors of 1422685? 5, 11, 25867 What are the prime factors of 73224? 2, 3, 113 What are the prime factors of 6075166? 2, 3037583 What are the prime factors of 988076? 2, 19, 13001 What are the prime factors of 119438? 2, 11, 61, 89 List the prime factors of 176779. 176779 What are the prime factors of 3553815? 3, 5, 79, 2999 What are the prime factors of 1326702? 2, 3, 13, 73, 233 What are the prime factors of 6259131? 3, 47, 14797 What are the prime factors of 3565364? 2, 11, 81031 What are the prime factors of 219282? 2, 3, 7, 23, 227 What are the prime factors of 6475421? 773, 8377 What are the prime factors of 13750382? 2, 17, 404423 List the prime factors of 5157789. 3, 7, 13, 2699 What are the prime factors of 2342531? 919, 2549 What are the prime factors of 1030884? 2, 3, 271, 317 What are the prime factors of 5314348? 2, 13, 102199 What are the prime factors of 2544037? 79, 32203 What are the prime factors of 4906582? 2, 2453291 What are the prime factors of 3732577? 3732577 List the prime factors of 4338529. 13, 107, 3119 List the prime factors of 8970572. 2, 13, 167, 1033 List the prime factors of 1085261. 19, 57119 List the prime factors of 159224. 2, 13, 1531 List the prime factors of 525912. 2, 3, 17, 1289 List the prime factors of 17530431. 3, 5843477 What are the prime factors of 1251303? 3, 37, 11273 List the prime factors of 1914227. 7, 151, 1811 What are the prime factors of 33638701? 33638701 What are the prime factors of 960678? 2, 3, 19, 53 List the prime factors of 306839. 13, 23603 List the prime factors of 11907261. 3, 23, 41, 61 List the prime factors of 1588693. 59, 26927 List the prime factors of 7960941. 3, 173, 5113 What are the prime factors of 249727? 249727 List the prime factors of 1235808. 2, 3, 7, 613 List the prime factors of 1127493. 3, 41759 What are the prime factors of 634611? 3, 199, 1063 What are the prime factors of 5445418? 2, 11, 247519 What are the prime factors of 3467016? 2, 3, 7, 2293 List the prime factors of 6339558. 2, 3, 367, 2879 List the prime factors of 27963073. 47, 594959 What are the prime factors of 229243? 7, 32749 What are the prime factors of 1878767? 11, 15527 List the prime factors of 103369. 7, 14767 What are the prime factors of 419849? 17, 24697 What are the prime factors of 601588? 2, 13, 23, 503 List the prime factors of 46991. 7, 137 List the prime factors of 89402. 2, 44701 What are the prime factors of 1241830? 2, 5, 124183 What are the prime factors of 727534? 2, 363767 List the prime factors of 1332416. 2, 109, 191 List the prime factors of 4169833. 73, 239 What are the prime factors of 5551638? 2, 3, 925273 What are the prime factors of 877022? 2, 73, 6007 What are the prime factors of 27540157? 27540157 What are the prime factors of 5966052? 2, 3, 497171 List the prime factors of 312798. 2, 3, 37, 1409 List the prime factors of 153134. 2, 23, 3329 List the prime factors of 3018005. 5, 31,
{ "pile_set_name": "DM Mathematics" }
54 - 189. Calculate the lowest common multiple of 30 and a. 90 Let k(d) = -2*d - 8. Let i = 6 - 4. Let b be 1*(-1)/(i/26). What is the least common multiple of k(b) and 10? 90 Suppose -7 + 4 = -o. Calculate the common denominator of ((-2)/(-48))/(o/426) and 111/(-36) - (-7 + (-721)/(-105)). 60 Suppose -3*p + 40 = p. Suppose 2*y + 5 = -3*y. Calculate the lowest common multiple of 616/33*(10/4 + y) and p. 140 Let l = 3884650268/14280673 + -2130550/7743. Let v = 1/3018 + l. Find the common denominator of 3/9 + (-94)/(-12) and v. 66 Let n = 52679 - 6005455/114. Find the common denominator of n and (-6)/21 + ((-1486)/14)/(9 + 1). 570 Let j(n) = -n - 6*n + 4*n. What is the smallest common multiple of j(-2) and 44? 132 Let j = -913 - -21907/24. Find the common denominator of j and -49/18. 72 Suppose 4*a + n = -3*n + 64, -3*n = 6. Suppose 0 = -43*j + 17*j + 702. Calculate the least common multiple of a and j. 54 Let w = 561 - 549. Let v = 11 - 8. What is the lowest common multiple of w and v? 12 Let s = 5763 + -5717. Suppose 0*o + 2*o = 0. What is the common denominator of 68/28*(o + 1) and s? 7 Let q = 26831/4 + -9865. Let s = q - -3139. Let f = 229/12 + 5/12. Find the common denominator of s and f. 4 Let d(o) = -o + 37. Let h be d(19). What is the least common multiple of 178 and 4/(-18) - (-328)/h? 1602 Let f = -13 + 16. Suppose 3*k + 16 = f*n + k, -k + 4 = 0. Let z = 2 - -3. What is the least common multiple of n and z? 40 Let b = -2 + 14. Let n = b - 2. What is the smallest common multiple of 45/n + 3/(-6) and 7? 28 Let r(i) = -2*i + 2. Let f be (3 - 1) + (-4)/2. What is the lowest common multiple of (-6 - f)*1/(-2) and r(-4)? 30 Suppose r = 3*m + 25, 62 = 5*r + 3*m - 9. What is the least common multiple of 12 and r? 48 Let m = -3 + 13. Suppose 0 = t + 4 - 15. Calculate the smallest common multiple of (m/(-4))/((-10)/20) and t. 55 Suppose 0*b + 6 = b - 4*d, -2*d - 30 = -5*b. Calculate the smallest common multiple of b and 56. 168 Let n = -2566/5 + 516. Let d be 8/6*223/4. Let p = 421/6 - d. Find the common denominator of p and n. 30 Let h = -40 + 69. What is the common denominator of 236/20 + 1 - 3 and h? 5 Let f be 4 + 0 - (3 + -3). Suppose 5*i - 5 = 3*p, 4*p = i - p + 21. Suppose 32 + i = f*z. Calculate the lowest common multiple of 8 and z. 72 Let i be (-8)/(-5 + 3) + (1 - 3). Let q(n) = n**3 - 3*n**2 + 3*n. What is the least common multiple of q(i) and 18? 18 Let h = -9/53 + -661/477. Find the common denominator of (-381)/12*1/3 and h. 36 Let u(m) = -m**3 + 13*m**2 - m + 12. Let f be u(13). What is the lowest common multiple of 4 and ((-210)/(-75))/(f/(-5))? 28 Let w = -43 - -72. Let g = w + -10. Find the common denominator of 87/8 and (g/(-27))/((-2)/(-15)). 72 Let m = 673 - 2018/3. Find the common denominator of m and 3/41. 123 Let c(t) = t**2 - 2*t - 1. Let q be c(-2). Suppose 4*k - q = 17. Let r(n) = 22*n - 510. What is the least common multiple of k and r(24)? 18 Let j = 230960/1177393 - 217808521036/93754627197. Let r = j - -14/2413. Calculate the common denominator of r and -44/27. 297 What is the common denominator of 27/14 and (-7 - (-16471)/1904) + -2? 1904 Let r be (-8885)/4442 - 12/(-6). Let v = r + 76628/15547. Calculate the common denominator of v and ((-18)/(-54))/(1/183*10). 70 Find the common denominator of -82/45 and ((-1363)/3384)/((-1)/5). 360 Calculate the common denominator of (-19795)/296*(1 + 17/(-15)) and 95/44. 132 Let m be ((-36)/(-12))/((-2)/18). Let q = m + 38. Calculate the least common multiple of q and 2. 22 Let i = 74 + 5. Let h = -71 + i. Calculate the least common multiple of 8 and h. 8 Suppose 34*h + 2*l + 30 = 36*h, h = 5*l + 43. Let p(x) = -4*x + 4 - x**3 + x**2 - x + 5*x**2. What is the least common multiple of h and p(4)? 16 Let i be 88/2 + (-2)/1. Let g = i - 21. Calculate the smallest common multiple of (-2*(-18)/20)/(11 - 1026/95) and g. 63 Let h(u) = 2*u**2 + 15*u + 7. What is the lowest common multiple of h(-11) and 132? 924 What is the common denominator of (-1144)/720 - 3/(2 + -17) and 73/54? 54 Let w = -57/2 + 6. Let y = -75 + 348. Let a = y + -1351/5. Find the common denominator of w and a. 10 What is the common denominator of 24/25 and (-1026)/(-150) - 9 - (-1)/5? 25 Let c = 1303/14 + -27445/294. Calculate the common denominator of c and -55/168. 1176 Let g = 2679/169 - 692741/45630. What is the common denominator of g and 97/90? 270 Calculate the least common multiple of 63 and ((-35)/(-6) - (-176)/(-132))*2. 63 Let y(n) = 2*n + 405. Let g be y(0). Calculate the common denominator of 5/66 and (-1 - -4) + g/(-150). 330 Let k = -1407314/2805 + -4106/255. Let l = 193081/374 + k. Find the common denominator of l and -73/6. 102 Let s = -151 + 227. Suppose s = -5*m + 24*m. Calculate the smallest common multiple of m and 2. 4 Suppose -8 = -2*n + 2. Suppose -n*i - 28 = 2*w, -6*i + i + 4*w = 4. Let m(p) = -6*p - 6. Calculate the lowest common multiple of 10 and m(i). 90 Let k(u) = 5*u + 8. Let q be k(4). Let b be (-72)/q*(-42)/9. What is the common denominator of ((-1190)/b)/7 - 3 and 29/18? 18 Let s = -34181/10 + 3414. What is the common denominator of -55/116 and s? 580 Let u = -77/201 - -13391/9246. Find the common denominator of u and 21/20. 460 Suppose 1 + 9 = t + 5*p, -4 = -4*p. Suppose 0 = -5*w - 3*l + 90, -w = -4*w - t*l + 54. Let r = -2 + 22. Calculate the least common multiple of r and w. 180
{ "pile_set_name": "DM Mathematics" }
. 522 Let k(v) = 27*v - 19*v - 5 - 24*v - 21*v**2. Let m(x) = -64*x**2 - 48*x - 16. Let g(j) = -16*k(j) + 5*m(j). What is the second derivative of g(a) wrt a? 32 Suppose 0 = 72*k - 814 + 22. Let p(z) be the second derivative of 0*z**3 + 0 - z**2 + k*z - 1/10*z**5 + 0*z**4. What is the derivative of p(g) wrt g? -6*g**2 Let x(g) be the first derivative of 10 + 0*g**5 - 5/7*g**7 - 8/3*g**3 + 0*g**2 + 0*g**4 + 0*g**6 + 0*g. Find the third derivative of x(o) wrt o. -600*o**3 Differentiate 456*y**3 - 229*y**3 + 4*y**4 + 22 - 223*y**3 wrt y. 16*y**3 + 12*y**2 Let z(l) = -l - 4 - l**3 - 2*l - l - 3*l**2. Let m be z(-2). What is the derivative of m*a**3 - 11*a**3 - 3 + 13 wrt a? -33*a**2 What is the third derivative of 22*o**5 - 2*o**3 - 172*o - 8*o**2 + 183*o + 4*o**2 wrt o? 1320*o**2 - 12 Let b(z) be the third derivative of 0*z**3 + 7/24*z**4 + 0*z**5 + 0 + 0*z + 1/20*z**6 + 27*z**2 - 2/105*z**7. What is the second derivative of b(j) wrt j? -48*j**2 + 36*j Suppose -b = -6*b - 20, 3*b + 4 = -4*p. What is the second derivative of -x + 6*x**p + 0*x + 13*x wrt x? 12 Let h(t) be the third derivative of 3*t**2 + 0 + 0*t**5 + 0*t + 7/24*t**4 - 1/15*t**7 + 0*t**6 + 0*t**3. What is the second derivative of h(w) wrt w? -168*w**2 Let z(d) = -3*d - 4. Let p be z(-2). Find the third derivative of -6*o**2 - 4*o**2 - 2*o**5 + 13*o**5 + 3*o**p wrt o. 660*o**2 Let s(h) = -17*h**3 - 9. Let o(r) = 1. Suppose 12 = -4*d, -5*d + 13 - 52 = 4*v. Let f(i) = v*o(i) - s(i). Differentiate f(p) with respect to p. 51*p**2 Let i = -3 + 5. Differentiate -58*b**i + 58*b**2 - 11*b**4 - 17 wrt b. -44*b**3 Let s(a) be the third derivative of 0*a**5 + 0*a**3 + 1/10*a**6 + 0 + 17/24*a**4 + 0*a - 5*a**2. What is the second derivative of s(h) wrt h? 72*h Find the second derivative of 118*a**3 + 39 - 3*a**2 + 30 + 3*a**2 - a wrt a. 708*a Let y(p) be the first derivative of -93*p**5/5 - p**2 + 2*p - 64. Find the second derivative of y(m) wrt m. -1116*m**2 Let y(l) = 950*l**3 - 112*l**2 - 3*l - 11. Let g(r) = -316*r**3 + 37*r**2 + r + 4. Let x(c) = -11*g(c) - 4*y(c). What is the third derivative of x(q) wrt q? -1944 Let m(d) be the first derivative of 0*d**2 - 5 + 0*d - d**7 + 0*d**6 + 0*d**4 + 0*d**5 + 19/3*d**3. What is the third derivative of m(o) wrt o? -840*o**3 Let x be (-3)/(-9 + 0)*18. Let d = -2 + x. Find the third derivative of -4*i**2 + 3*i**2 - d*i**2 + 3*i**6 wrt i. 360*i**3 Find the second derivative of 27*h**5 + 4*h**3 + 17*h - 4*h**3 + 3*h**5 - 6*h wrt h. 600*h**3 Let y(a) = 3*a**2 - 7*a - 3. Let c be y(4). What is the second derivative of -9*t + c*t - 8*t + 10*t**2 - 11*t wrt t? 20 Let b(h) be the third derivative of -h**7/105 - 7*h**6/40 + h**5/30 - 35*h**4/12 + h**2 - 3. Find the third derivative of b(l) wrt l. -48*l - 126 Let k(r) be the second derivative of 46*r**3/3 + 36*r**2 + 2*r - 56. Differentiate k(j) with respect to j. 92 Suppose -2*v = -10*v + 304. Find the second derivative of 31*h + v*h**5 - 53*h**3 + 53*h**3 wrt h. 760*h**3 Let f(a) = -2*a**4 + 4*a**2 + 4*a - 101. Let t(q) = -3*q**4 + 3*q**2 + 3*q - 100. Let i(z) = 3*f(z) - 4*t(z). What is the derivative of i(d) wrt d? 24*d**3 Let x(p) be the first derivative of 0*p**2 + 0*p - 9 + 0*p**5 + 2*p**6 + 0*p**4 + 1/3*p**3. What is the third derivative of x(j) wrt j? 720*j**2 Let s(c) be the third derivative of 169*c**6/120 - c**4/24 + 2*c**3/3 + 48*c**2 - 1. What is the second derivative of s(r) wrt r? 1014*r Let g = 8 - -2. Suppose 0 = 2*w + 3*w - g. Find the third derivative of 2*m**3 - 5*m**3 + 6*m**w - m**3 - 2*m**3 wrt m. -36 Let d(a) be the third derivative of 79*a**4/24 - 28*a**3 - 155*a**2. Differentiate d(y) with respect to y. 79 Find the second derivative of -112*a - a**5 + 28*a**3 + 52*a - 4*a**3 wrt a. -20*a**3 + 144*a Let v(t) be the third derivative of -3*t**7/5 + 14*t**5/15 + t**4/4 + 48*t**2 - 4. What is the third derivative of v(s) wrt s? -3024*s Let c(b) = -224*b**2 - 568*b. Let a(j) = 224*j**2 + 561*j. Let u(g) = -2*a(g) - 3*c(g). Find the second derivative of u(m) wrt m. 448 Let h(w) be the third derivative of 63*w**6/40 - 71*w**3/3 + 115*w**2 - 2. Differentiate h(a) wrt a. 567*a**2 Let v be ((-21)/(-6) - 4)*-10. Find the second derivative of 5*m - m - 5*m**v - 8*m**5 + 5*m wrt m. -260*m**3 Let h(o) be the first derivative of -3*o**8/28 + 13*o**4/4 + 29*o - 20. Let s(y) be the first derivative of
{ "pile_set_name": "DM Mathematics" }
t to 1/9 in -1.4, -2, -4/349, -0.4, -0.2? -4/349 Which is the closest to 0? (a) 92 (b) 0.1 (c) -4 (d) -43/158 b What is the nearest to -0.2 in -85, 2/85, -4, 0.2, -3, 5? 2/85 Which is the nearest to 0? (a) -2 (b) 577 (c) 1/9 (d) 57 (e) -4/5 (f) 4 c Which is the nearest to 1? (a) -14 (b) -2/231 (c) 2/5 (d) -2/3 (e) 3 c What is the nearest to 2/3 in 333, -11, -0.2, -402, 0.3? 0.3 What is the closest to -1/13 in 151, -3/2, 3/7, 8? 3/7 What is the nearest to 3/37 in -0.05, 0.5, 1, 8, 2/17, 3? 2/17 What is the nearest to 3/7 in 923, -1, 143, -0.4? -0.4 What is the closest to 437 in -4, 0, 0.2875? 0.2875 What is the closest to -0.17 in 1, 602, 0.3, -3, -0.1? -0.1 What is the closest to -2/15 in -3/38, 0, 5, -0.3, -0.1, -711? -0.1 Which is the closest to -0.038? (a) 1 (b) -60 (c) 0.08 (d) -6 (e) -3 c What is the closest to 0 in -0.09, 579, -5, -47.54? -0.09 Which is the nearest to -0.364? (a) 10 (b) -1 (c) -3 (d) -10 b Which is the closest to -5412? (a) 10 (b) -8/7 (c) -10 (d) -1 c What is the closest to -1 in 3/23, 2016, -2/17? -2/17 Which is the closest to -1/14? (a) 3/2 (b) -0.2 (c) -0.09986 (d) -8/3 c Which is the closest to -3/7? (a) -469844 (b) 8 (c) 4 (d) -4 d What is the closest to 9/5 in 0.1, 3, 164, -35? 3 What is the closest to 1/11 in -2, 1, 6, -1.737? 1 Which is the nearest to 0.08? (a) -2 (b) 97 (c) 0.1 (d) -112 c What is the closest to 0.1 in 1, 2.1997, 0, -4? 0 Which is the nearest to 24? (a) 3 (b) 0.04 (c) -0.1 (d) -8.47 (e) -2 a What is the nearest to -0.1 in -2/31, -2/189, -4/2661? -2/31 Which is the nearest to 4/23? (a) -0.3 (b) 6 (c) -67 (d) -2/3 a What is the nearest to -30/17 in -0.01359, -1, 0.14? -1 Which is the nearest to -1451? (a) 5 (b) 1/6 (c) -2 (d) -0.7 (e) 1/5 c Which is the closest to -1/3? (a) -409 (b) -2/13 (c) 4753/2 b Which is the closest to -1? (a) 1/178 (b) -7 (c) -5342 a Which is the closest to -1.69333? (a) -7 (b) -2/15 (c) -5 (d) 2/9 (e) 2/5 b What is the nearest to -0.1 in 12, -36, -100, 5/4? 5/4 Which is the nearest to -3? (a) -34 (b) -1326 (c) 0.4 (d) 2 c What is the closest to 29 in 2/9, 1200, 3.2, 9? 9 Which is the nearest to 196? (a) 0.6 (b) 409 (c) 2 (d) 1 (e) -0.2 c Which is the nearest to 4? (a) -0.07 (b) -7 (c) 90 (d) 0 d What is the nearest to -1 in 2/13, 205, 1.2341, 4, 3? 2/13 Which is the nearest to -0.4? (a) -4 (b) -1/2 (c) 10595 (d) -58 b What is the nearest to -2/3 in 1878, 0, -2, -6/11, -18.62? -6/11 What is the closest to 0.064 in -0.22, -2, 4.14? -0.22 What is the closest to -0.1 in 4, -346, 0.3508? 0.3508 What is the nearest to 0.2 in 0.3, 0, -1/3, 217, 814? 0.3 Which is the closest to 0.9? (a) -5 (b) 7 (c) 2.6 (d) 11 (e) 52 (f) -1 c Which is the nearest to 150? (a) -1 (b) -13 (c) 1854/7 c Which is the nearest to -2/395? (a) 0.3 (b) 617/4 (c) 2 (d) -2 a What is the nearest to -1 in -5, 7, 842551? -5 What is the closest to 0.04 in -0.3, 0.07, -0.13, -149, 5/2? 0.07 Which is the closest to 2? (a) -0.02 (b) -193 (c) -2 (d) 8 a What is the closest to 0 in 0, 133292, 1, 3, -0.3? 0 What is the closest to -6 in 19, -1/1839, 5, 18? -1/1839 What is the closest to -1/3 in -5, -375, 0, -1/3, -1, 26.5? -1/3 Which is the nearest to -22201? (a) 0 (b) -0.2 (c) 5 (d) -49 d What is the nearest to -2/61 in 0.037, 996, 4, 1? 0.037 Which is the closest to -0.019? (a) 0 (b) 1/2 (c) 6 (d) -1/6 (e) 4 a Which is the nearest to 105? (a) 3 (b) -3 (c) -0.09 (d) 15 (e) -3/17 (f) 5/4 d What is the nearest to -249247 in 0.2, 0.7, 0.3? 0.2 Which is the nearest to 54? (a) 3/16 (b) 2 (c) 2/3 (d) 1/5 (e) 0.061 (f) 0.4 b Which is the closest to 3? (a) 8 (b) -1/2 (c) 578212 b What is the closest to 0.2 in -0.9, 0, 2/67, 2/13, -0.2? 2/13 Which is the closest to -0.032? (a) 3 (b) 2/13 (c) 6 (d) 4 (e) -0.17 e What is the nearest to 2/7
{ "pile_set_name": "DM Mathematics" }
m) - 2*t(m). What is the second derivative of k(f) wrt f? 8 Let b(t) be the third derivative of -t**8/420 + t**5/15 - t**3/3 - t**2. Let p(n) be the first derivative of b(n). Find the second derivative of p(w) wrt w. -48*w**2 Let g(h) be the second derivative of h**9/3024 + 7*h**6/720 + h**4/3 + 2*h. Let r(z) be the third derivative of g(z). Find the second derivative of r(d) wrt d. 60*d**2 Let y(h) be the third derivative of -19*h**6/60 + 11*h**5/60 - 38*h**2. What is the third derivative of y(s) wrt s? -228 Let l(r) be the third derivative of r**7/30 - 3*r**4/8 + 10*r**2. What is the second derivative of l(u) wrt u? 84*u**2 Find the third derivative of 0*c**2 + 1 + 6*c**2 - 1 + 3*c**6 wrt c. 360*c**3 Let b be (0 - 0)/(4/2). What is the second derivative of 2*x + b + 0 + x**2 wrt x? 2 Let y(t) be the first derivative of 0*t**5 + 0*t - t**3 + 0*t**4 + 3 + 0*t**2 + 1/2*t**6. Find the third derivative of y(a) wrt a. 180*a**2 Let m(x) be the first derivative of 17*x**3 + 25*x**2/2 + 44. Find the second derivative of m(w) wrt w. 102 Let u(d) be the third derivative of 0 + 1/2*d**3 + 0*d + 1/12*d**5 + 0*d**4 - 3*d**2. Differentiate u(c) wrt c. 10*c Find the first derivative of -1 + 31*a**3 - 1 - 28*a**3 wrt a. 9*a**2 Let p(v) be the first derivative of -13*v**4/4 - 17*v + 6. Find the first derivative of p(t) wrt t. -39*t**2 Suppose -2*f - 30 = -5*f. What is the derivative of j + 2*j - f*j - 7 + 14 wrt j? -7 Let o(w) = w**5 + w**4 - w**2 - w + 1. Let m(z) = -2*z**5 + z**4 - z**2 - 5*z + 1. Let t(f) = -m(f) + o(f). What is the second derivative of t(r) wrt r? 60*r**3 Let k(z) be the first derivative of 16*z**5/5 - 22*z**3/3 - 28. Find the third derivative of k(f) wrt f. 384*f Let c(a) = a - 1. Let i = 6 - 2. Let l be c(i). Find the third derivative of 2*g + g**2 + 2*g**4 + g - l*g wrt g. 48*g Let y(p) = -p**4 - p**3 + p**2 + p + 1. Let u(a) = -2*a**4 + 4*a**3 - 4*a**2 - 2*a - 4. Let m(o) = u(o) + 4*y(o). Find the second derivative of m(h) wrt h. -72*h**2 Let s(y) be the third derivative of y**6/24 - y**4/24 + 23*y**2. Find the second derivative of s(p) wrt p. 30*p Let p(y) be the first derivative of 1/3*y**3 + 1 - 3/2*y**2 + 0*y. Find the second derivative of p(a) wrt a. 2 Let i = -68 - -71. Let r(n) be the first derivative of 3/4*n**4 + 0*n**2 - 2*n + 0*n**3 - i. What is the first derivative of r(q) wrt q? 9*q**2 Let b(x) be the second derivative of -9*x**7/14 - x**4/4 + 13*x. What is the third derivative of b(s) wrt s? -1620*s**2 Let j(g) be the second derivative of 0*g**4 + 3*g - 1/2*g**2 + 1/10*g**5 + 0 + 0*g**3. Find the first derivative of j(l) wrt l. 6*l**2 Let r(h) be the first derivative of h**2 - 3 + 1/6*h**3 + 2*h. Let c(b) be the first derivative of r(b). Find the first derivative of c(d) wrt d. 1 Suppose 0 = -i - c - 0*c + 4, -20 = -4*i - 5*c. Differentiate -14 - 3*p**4 + i*p + 8 + 0*p with respect to p. -12*p**3 Let p(b) = 2 + 0*b + 10 - b. Let i be p(6). What is the first derivative of 2 - 2*r**3 - i*r + 6*r wrt r? -6*r**2 Find the third derivative of -16*z**5 + 16*z**2 - 8*z**2 + 4*z**2 wrt z. -960*z**2 Differentiate -36 - 13*b - 8*b - 17*b - 28*b wrt b. -66 Let x(p) = 6*p**4 - 5*p**3 + 5*p**2 - 34*p + 5. Let z(w) = -w**4 + w**3 - w**2 - w - 1. Let c(l) = x(l) + 5*z(l). Find the second derivative of c(o) wrt o. 12*o**2 Suppose 0 = 4*x - 16, 0*z - 3*z = -4*x + 4. Let w = -3 - -5. What is the third derivative of -v**2 - 1 + w*v**z + 1 wrt v? 48*v Let g(h) = -9*h**3 + 6*h**2 + 6*h + 2. Let o(v) = 19*v**3 - 13*v**2 - 13*v - 4. Let j(q) = 13*g(q) + 6*o(q). Differentiate j(m) wrt m. -9*m**2 Let c(b) be the second derivative of -1/6*b**4 + 0 + 6*b + 0*b**3 + 0*b**2 + 1/30*b**6 + 0*b**5. What is the third derivative of c(d) wrt d? 24*d Let h(k) be the third derivative of k**9/72 - k**5/20 + 7*k**2. What is the third derivative of h(c) wrt c? 840*c**3 Let w(x) be the second derivative of -x**5/4 - x**3/2 - 6*x. Find the second derivative of w(q) wrt q. -30*q Let d(b) = 4*b**5 - 4*b**4 - 7*b. Let j(f) = -f**5 - f**4. Let y(g) = d(g) - 4*j(g). Find the second derivative of y(v) wrt v. 160*v**3 Let v(l) be the second derivative of -l**4/6 - 2*l**3/3 - 10*l. Find the second derivative of v(q) wrt q. -4 Let s(q) = -q**2 + q. Let k be s(1). Let g(w) = w**2 + w + 2. Let o be g(k). Find the third derivative of 2*f**4 - o*f**4 - f**4 + f**2 wrt f. -24*f Let m(b) = -b. Let n(l) = -l**3 + 2*l + 1. Let d(g) = 10*m(g) + 5*n(g). Find the first derivative of d(k) wrt k. -15*k**2 Let y be
{ "pile_set_name": "DM Mathematics" }