531 - 307 = -a*r. Is 38 a factor of r?
False
Is 179 - 1 - (-3 + 38 + -27) a multiple of 2?
True
Suppose 55 = 3*y + 52. Let n = 5 - y. Suppose -n*k = -4*j - 748, 923 = 2*k + 3*k + j. Does 16 divide k?
False
Let j = -15937 + 18009. Is 37 a factor of j?
True
Let p(v) = v**3 + 12*v**2 - 10*v + 34. Let a be p(-13). Let r = a + -9. Is (-21)/r*(-376)/(-12) a multiple of 25?
False
Suppose 0 = -5*w + l + 22, -2*w + 16 = -6*l + 2*l. Is 32 a factor of (4/(-6))/(11464/2868 - w)?
False
Is 24 a factor of (-20)/(-14)*(-16825830)/(-475)?
False
Is (93240/33)/((-58)/(-319)) a multiple of 60?
True
Does 67 divide 73022/20 - 1/10?
False
Let j(a) = -a + 19. Suppose 10*v + 4 = 9*v, -4*x + 16 = v. Suppose 3*d = -x*d - 128. Is j(d) a multiple of 7?
True
Suppose -960 + 3996 = 6*b. Suppose -k = -2, 4*k = t + 2*k - b. Is 10 a factor of t?
True
Suppose -48*c + 144*c - 660480 = 0. Is c a multiple of 227?
False
Let r = -121 - -105. Let d be (-1)/4 + 188/r + 3. Does 40 divide ((-120)/d)/((-8)/(-144))?
True
Let i = 4716 - -13788. Is 154 a factor of i?
False
Let z(h) = 36*h**2 + 4*h + 4 + 76*h**2 + 93*h**2. Let b be z(-2). Suppose -4*d = 5*m - 780, 5*d = d + 4*m + b. Is d a multiple of 40?
True
Suppose -n - 3*z = 9, 3*n - 2*n = -5*z - 15. Suppose 0 = -n*h - 3*h - g + 151, -5*h + 249 = g. Suppose h*l - 46*l - 96 = 0. Is 8 a factor of l?
True
Let f(c) = 9*c - 203 - 4*c + 170. Suppose 51 = j + 2*j. Does 11 divide f(j)?
False
Let c = 147 - -218. Let y = c - 170. Is 15 a factor of y?
True
Suppose 73828 + 60317 = 9*m. Is m a multiple of 55?
True
Let o = 16931 - 10917. Is 194 a factor of o?
True
Let c be (74/(-4))/((-2)/4). Let g be (6/(-15))/((-10)/(-75)). Does 15 divide c + (13 - 4)/g?
False
Suppose -4*k = -12*v + 10*v - 2464, v - 3073 = -5*k. Suppose 8*b - 9*b - 3*d = -k, b - d - 615 = 0. Is 32 a factor of b?
False
Suppose 11 = 2*w - 25. Suppose 30 = 5*r - 5*t, -r + 4*t = -4*r + w. Suppose -4*d = 3*k - 2*d - 76, r = 3*d. Is 12 a factor of k?
True
Let z(t) = -272*t + 1085. Is 66 a factor of z(-27)?
False
Let o = 370 + -65. Let v = o + -208. Is 72 a factor of v?
False
Let s = 36580 - 14548. Is s a multiple of 54?
True
Let t be 0 + (-41)/(3/(-3)). Let m = -40 - -9. Let o = t + m. Is 2 a factor of o?
True
Let f = 2384 - 1446. Suppose -f - 287 = -7*y. Does 4 divide y?
False
Let u(d) be the second derivative of d**4/6 - d**3/6 + d**2 + d. Suppose -8 = -2*m, -8*r - 61 = -3*r - 4*m. Is u(r) a multiple of 27?
False
Let g(d) = -d**3 - 2*d**2 - 13*d - 27. Let a be g(-11). Let m = a - 620. Is m a multiple of 65?
True
Suppose 2*u + 21*n - 18*n - 3349 = 0, 4*n = -2*u + 3346. Is 70 a factor of u?
False
Let y(q) = 9*q - 118. Let r be y(-19). Let m = 957 + r. Does 16 divide m?
False
Let i be (-10)/20 - (-1)/2. Let t = 93 - 95. Is 14 a factor of 0 - (t + (i - 30))?
False
Suppose -2*b = -q + 255, -17*q + 3*b + 251 = -16*q. Is q a multiple of 11?
False
Let j(b) = 3*b - 41. Let u(t) = 2*t**2 + t - 2. Let g be u(-3). Let o be j(g). Let w(i) = -38*i - 15. Does 6 divide w(o)?
False
Let x = 7843 - 2537. Is x a multiple of 14?
True
Let z(f) = 42*f + 159. Let b be z(-13). Let s = -54 - b. Does 6 divide s?
False
Let r be -14*(33/6)/(-1). Suppose 2*t + 30 = 4*t. Let d = r - t. Is d a multiple of 15?
False
Let n(v) = 136*v**2 - 114*v - 324. Let y be n(-3). Let g = -32 + 55. Is ((-6)/(-4))/(g/y) a multiple of 9?
True
Let h be -16 - -22 - (-1)/(-1). Suppose 3*b + 0*b = 0. Is h/(20/(-12)) - -19 - b a multiple of 4?
True
Suppose -5*t = 5*y - 0*t - 35, 5*t = -y + 15. Suppose 4*x - 9*z + 4*z - 138 = 0, -187 = -y*x - z. Is 23 a factor of x?
False
Suppose -a = -5*a + 16. Let p(m) = 19*m - 130. Let z(f) = -19*f + 152. Let o(q) = 7*p(q) + 6*z(q). Is o(a) a multiple of 6?
True
Let o(x) = -5*x**2 + 72*x + 13. Let j(n) = 6*n**2 - 73*n - 17. Let b(z) = 2*j(z) + 3*o(z). Does 16 divide b(14)?
False
Let b(i) = 888*i**2 - 167*i - 678. Is b(-4) a multiple of 62?
True
Let l = 13271 + -6446. Is 39 a factor of l?
True
Suppose -2*k - 2*b - 24 = -5*k, -3 = b. Does 26 divide (-5823)/(-45) + k/10?
True
Let q be (-1)/7 + ((-44390)/(-70) - -11). Let b = q - 290. Does 8 divide b?
False
Let l = 405 + -680. Let z = l - -446. Is 19 a factor of z?
True
Let i(u) = -62*u + 4360. Is i(-90) a multiple of 10?
True
Let a(s) = 22*s + 215. Let g be a(-21). Let i = g + 373. Is i a multiple of 9?
True
Suppose 2*a - 12 + 83 = z, 205 = -5*a - 3*z. Let v = a + 1. Does 8 divide -2 - -6*(-1 - v)?
False
Let q(k) = -292*k - 8. Let o be q(4). Suppose 0 = 3*z + 5*d - 71, 20 = 16*d - 11*d. Is ((z - -1)/2)/((-56)/o) a multiple of 16?
False
Suppose -5730 = -5*f + 1665. Is f a multiple of 7?
False
Let s be (-2)/(-5)*(-4 + -16). Let w(r) = -r**3 - 6*r**2 + 10*r - 2. Let u be w(s). Suppose -4*n + 486 = 3*c - u, 5*c + 630 = 5*n. Is 29 a factor of n?
False
Let m(j) = 114*j + 142. Let t be m(6). Suppose 4*i + u + t - 2350 = 0, -i = 3*u - 381. Does 3 divide i?
True
Suppose 4*i = 6*i + 10. Let b(v) = 3*v + 1. Let y(w) = -47*w - 26. Let z(n) = 6*b(n) + y(n). Is 25 a factor of z(i)?
True
Let q(l) = 49*l**2 + 5*l + 9. Suppose -20*d - 2*d = 44. Is q(d) a multiple of 11?
False
Let c(a) = 130*a**2 - 3*a - 4. Suppose 5*h - 24 = -3*j - 0, -3*h - 6 = -5*j. Let x(s) = 131*s**2 - 3*s - 3. Let l(p) = h*x(p) - 2*c(p). Does 27 divide l(-1)?
True
Let g be 4 + (16/(-12))/(3/(-180)). Is 4 a factor of (63/g)/((6/320)/3)?
True
Suppose 5*m + 4*d - 629 = 1187, -m + 4*d + 344 = 0. Is m a multiple of 6?
True
Suppose -14 = -5*w + 6. Suppose 80 - 44 = -w*u. Does 5 divide 2 + 71/3 - (-6)/u?
True
Is 10 a factor of 25/(-5) + -10 + 3671?
False
Let f = 40 - 38. Suppose p = -4*v + 1326 - 396, 474 = f*v + 5*p. Let g = -118 + v. Is 12 a factor of g?
False
Let m = 18292 + -5393. Is m a multiple of 22?
False
Suppose 3*h + 12 = 7*h. Suppose r - k = -3*r, 0 = -h*r + 5*k. Does 19 divide r/1 + 11 + 65?
True
Let u be 673/3*(3 + 6). Suppose 14*t - 963 = u. Is 30 a factor of (-6)/(-33) + 140/(-44) + t?
True
Let d(y) = y**3 - 25*y**2 + 14*y + 46. Let z be d(25). Suppose 2*q - 5*j = -0*q + z, 2*j = 2*q - 402. Is q a multiple of 7?
True
Let h = 2120 - 459. Suppose -34*n + 30*n = -i - h, 0 = -i + 3. Is 13 a factor of n?
True
Let r(p) = -p**3 - 12*p**2 + 24*p + 22. Let b = -215 + 201. Is r(b) a multiple of 13?
True
Let k = 61 - 44. Suppose -5*w + 2*q = -478, 12*w + 4*q = k*w - 486. Is 11 a factor of w?
False
Let t(f) = 4*f**3 - 234*f**2 + 4247*f + 10. Does 25 divide t(20)?
True
Let p(v) = v**3 - 26*v**2 - 14*v - 79. Is 3 a factor of p(28)?
False
Suppose 3*k + 37 - 205 = 0. Suppose -266 - k = -14*a. Does 14 divide a?
False
Let b(a) = -669*a - 5931. Does 30 divide b(-9)?
True
Let i = -827 + 1198. Suppose -7*r + i + 84 = 0. Is 10 a factor of r?
False
Suppose -30 - 58 = -11*m. Does 2 divide 7/((-28)/m) + 50?
True
Is 11 a factor of 20/(-25)*5 + (1028 - 1)?
True
Let n be (3/(-3))/(-3 + 132/45). Is 27 a factor of 2/(n/(-25) - (-668)/1080)?
True
Let d = -31 - -33. Suppose 5*x - 50 = -2*l - 0*l, -x + d*l + 10 = 0. Suppose -6*c + x*c = 160. Does 8 divide c?
True
Suppose -3*q + 5*z = -8312, 4*q + 0*q = 3*z + 11068. Is q a multiple of 31?
False
Is 30 a factor of (1/(-4) - 9/(-52)) + 20246144/793?
False
Suppose 2*r = 5*l - 0*r - 1077, 2*l - 422 = 3*r. Let z = 269 - l. Is 13 a factor of z?
True
Let y = 22 + 84. Let x be (-1 - (1 + 1)) + (y - -11). Suppose -6*k - 2*r = -3*k - x, 0 = 3*k + r - 111. Is k a multiple of 4?
True
Suppose 41*v = 19959 + 17638. Does 7 divide v?
True
Suppose x - 1 = 0, 2*x + 2 = -5*l + 139. Suppose -r = 2*s + 2 - 1, -3*r + 4*s + l = 0. Does 2 divide r?
False
Suppose q + 4 - 8 = 0, q + 20 = -4*m. Let p(f) = f**3 + 6*f**2 - 11*f - 8. Is 11 a factor of p(m)?
False
Suppose -80 = 3*b - 1295. Suppose 11*h = 14*h - b. Is h a multiple of 23?
False
Let s(n) = 3*n**2 - 11*n - 18. Suppose -6*i + 275 = -11*i. Let d = i + 61. Does 5 divide s(d)?
False
Let o = -242 - -282. Let w = o + 50. Is w a multiple of 10?
True
Let a(g) = -70*g + 30. Let l be a(-14). Suppose 2*o = -240 + l. Let f = o + -274. Is 31 a factor of f?
False
Suppose 3*u + b = -6, 2 = -4*u + 3*b - 6. Let m be u + 0 - (-3)/((-15)/(-205)). Does 10 divide m - 2*(-2 + 1) - -3?
False
Let q(i) = -64*i**3 + 3*i**2 - 81*i - 546. Does 136 divide q(-6)?
True
Does 15 divide (-22)/143 - (-51436)/52?
False
Does 35 divide 5 + 11 + (-94445)/(-13)?
False
Let y = 16 - 2


l) be the first derivative of -32/5*l**5 + 0*l + 0*l**3 + 78 + 53*l**2 - 1/4*l**4. What is the second derivative of g(z) wrt z?
-384*z**2 - 6*z
Let w(s) be the second derivative of s**5/10 - s**4/4 - 409*s**3/3 + 225*s**2 - 3*s - 4116. Find the first derivative of w(j) wrt j.
6*j**2 - 6*j - 818
Let v(m) be the second derivative of 0*m**2 + 5/21*m**7 + 0*m**5 + 0 + 1/6*m**6 - 103/12*m**4 + 110*m + 0*m**3. What is the third derivative of v(z) wrt z?
600*z**2 + 120*z
Let p(u) be the second derivative of u**8/28 - 163*u**7/42 + u**6/30 + u**4/12 - 299*u**3 + 7854*u. What is the third derivative of p(y) wrt y?
240*y**3 - 9780*y**2 + 24*y
Suppose -2*n = -3*n - 4*n. Let z be n/(-18) + (-2 - (-1 + -2)). Find the first derivative of -17*p**2 + 17 - 2 + 0 - z wrt p.
-34*p
Let y(b) be the third derivative of -4907*b**5/20 - 3077*b**4/12 - 2*b**2 - 156*b + 13. Find the second derivative of y(j) wrt j.
-29442
Let m(o) = -763*o**3 - 1320*o**2 + 6*o. Let h(r) = 760*r**3 + 1321*r**2 - 9*r. Let s(b) = -4*h(b) - 6*m(b). What is the third derivative of s(w) wrt w?
9228
Suppose -5*c + 2*y = 10, 4*y - 10 = -4*c + 10. Let s be (10/(-4) - -2)*c - -2. Find the third derivative of -z - 10*z**3 + 124*z**2 - 144*z**s + z wrt z.
-60
Let v(p) be the second derivative of 941*p**6/6 + 1730*p**2 - 897*p. What is the first derivative of v(c) wrt c?
18820*c**3
Let d(m) be the second derivative of -581*m**4/12 + m**3/3 - 4686*m**2 - 7366*m. What is the derivative of d(q) wrt q?
-1162*q + 2
What is the first derivative of -38*o + 1155*o - 5235 + 3016 wrt o?
1117
Let m(i) be the third derivative of 43/8*i**4 + 17/15*i**5 + 0*i + 0 - 52*i**2 + 0*i**3. What is the second derivative of m(h) wrt h?
136
Let r(y) = 2*y**3 + 5 + 0*y**3 - y**3 - 8*y**2. Let p be r(8). What is the derivative of 1 - p - 5*s**2 - 4 + 1 wrt s?
-10*s
Let z(r) be the first derivative of 0*r**3 - 27 + 1/5*r**5 - 1/4*r**4 - 1/2*r**2 + 9*r. What is the second derivative of z(u) wrt u?
12*u**2 - 6*u
Let v = -29 - -33. Let u be 4/(v/(-9)) + 4. Let q(k) = -81*k + 20. Let f(g) = -54*g + 14. Let h(x) = u*q(x) + 7*f(x). Differentiate h(o) with respect to o.
27
Let h = 0 - -4. Suppose 0 = 6097*b - 6089*b - 48. What is the derivative of 19 + b*n**h + 3 + 13 wrt n?
24*n**3
Suppose -8 = 4*y, 13 = -x - 5*y + 2*y. Let z be ((-3)/6)/(x/28). Find the third derivative of -23*i**4 + 5*i**4 + 15*i**z + 7*i**2 wrt i.
-432*i
Let n = -107 + 53. Let k be (n/(-4))/((-9)/(-18)). What is the second derivative of 24*v - 11*v**2 - k*v + 3*v - 29*v wrt v?
-22
Let i(a) be the first derivative of -3*a**5/5 - 327*a**4/4 + 1469*a**3/3 - a**2 + 2626. Find the third derivative of i(p) wrt p.
-72*p - 1962
Find the second derivative of -64*h**3 - 12*h**4 + 239621 - 239615 + 24*h**3 + 28*h wrt h.
-144*h**2 - 240*h
Let z = -130 + 175. Suppose -4*r + 23 = -z. Find the third derivative of 23*q**2 + r*q**5 - 17*q**3 + 6*q**3 + 11*q**3 wrt q.
1020*q**2
Let g = -12 + 17. Let c = g + 5. What is the second derivative of 0*n - 11*n + 16*n**4 - c*n - n**4 wrt n?
180*n**2
Let l(h) = h**3 + 5*h**2 + 3*h + 2. Let j be l(-4). Let u be (-1 - 14/(-18))/(326/(-5868)). Find the first derivative of 7*n - u - j*n + 0*n - 9 wrt n.
1
Let t(w) be the second derivative of -1776*w**3 + 11459*w**2/2 - 163*w. Differentiate t(x) wrt x.
-10656
Let a(b) = -30*b**3 + 39*b**2 + 4112*b. Let t(r) = r**3 - 8*r. Let o(y) = a(y) - 6*t(y). Find the second derivative of o(w) wrt w.
-216*w + 78
Let b(r) be the first derivative of -785*r**4 - 110*r**3 + 5*r**2/2 - 1555. Find the third derivative of b(a) wrt a.
-18840
Let c(j) = -2*j**2 + j - 1. Let d(x) = -759*x**2 + 1047*x + 27. Let z(n) = -27*c(n) - d(n). Find the second derivative of z(y) wrt y.
1626
Differentiate -82*d**4 + 107 + 221 - 4*d**3 + 0*d**3 - 10 + 124 wrt d.
-328*d**3 - 12*d**2
Let g(v) be the third derivative of 0 + 0*v**4 + 0*v**3 + 2*v**2 + 2/15*v**5 + 0*v**6 + 7/10*v**7 + 37*v. Find the third derivative of g(y) wrt y.
3528*y
Let h(k) be the first derivative of -2764*k**5/5 - 9953*k**3/3 + 13993. What is the third derivative of h(i) wrt i?
-66336*i
Find the second derivative of 33*b**3 + 1711*b + 10*b**3 - 10*b**3 + 8*b**2 - 19*b**3 wrt b.
84*b + 16
Let z(s) be the second derivative of -5/3*s**4 + 19*s + 0*s**3 + 0*s**5 + 0 + s**2 - 7/15*s**6. Find the third derivative of z(k) wrt k.
-336*k
Let h be 2*(-25)/(-5) + (3 - -2). Let f = 16 + -12. What is the second derivative of h*n + 31*n - 9*n**4 - n**f wrt n?
-120*n**2
What is the second derivative of -825*d**4 - 3*d**2 - 2*d**2 - 271*d + 5*d**2 - 338*d wrt d?
-9900*d**2
Let g(w) = -3*w - 11. Let q(h) = -1647*h - 2658. Let d(t) = 6*g(t) + q(t). Differentiate d(n) wrt n.
-1665
Let t(p) = 889*p**2 + 38*p - 75. Let b(f) = -f**2 + 4*f - 10. Let z(o) = 2*b(o) - t(o). Find the second derivative of z(m) wrt m.
-1782
Let r be 2/(-6) - 999/(-81). What is the first derivative of -49 - r - 18 - 5*b**2 + 4*b wrt b?
-10*b + 4
Let h be ((-114)/12)/((-2)/12). What is the second derivative of -2*l**3 + h*l + 46*l - 19*l - 20*l - 9*l**2 wrt l?
-12*l - 18
Let g(z) = -2*z - 2. Let j(y) = 2*y**3 - 136*y - 909. Let q(p) = 4*g(p) - j(p). Differentiate q(v) with respect to v.
-6*v**2 + 128
Let k(f) be the second derivative of 93*f**6/5 + f**5/10 - 10*f**4 + 11*f**2/2 + 152*f - 1. Find the third derivative of k(o) wrt o.
13392*o + 12
Let k(z) be the second derivative of 2*z + 0*z**4 - 24 + 58*z**2 + 0*z**5 - 64/15*z**6 + 0*z**3. What is the derivative of k(u) wrt u?
-512*u**3
Let s be 6/15 + 158/5. Suppose 7*g = 3*g + s. Find the third derivative of 17*w**2 + 7*w**3 - w**3 + g*w**3 + 24*w**2 wrt w.
84
Let z(k) be the third derivative of -k**9/504 + 7*k**6/60 - 1417*k**5/60 - 481*k**2 + 2*k. Find the third derivative of z(d) wrt d.
-120*d**3 + 84
Let u(h) be the third derivative of 131*h**6/15 + 1079*h**5/30 + 148*h**2 + 3. Find the third derivative of u(q) wrt q.
6288
Let c(l) be the third derivative of -979*l**4/4 - 6458*l**3/3 + 4*l**2 - 41*l - 4. Differentiate c(r) with respect to r.
-5874
Suppose 0 = -21*u + 16*u + 25. What is the third derivative of -27*m**2 + 8*m**5 + 5*m**5 - 12*m**u + m**3 wrt m?
60*m**2 + 6
Let j(x) be the third derivative of 347*x**4/8 - 1145*x**3/6 - 2611*x**2 - 1. Differentiate j(f) wrt f.
1041
Suppose 2 = -5*c + 12. Let q = -79 + 86. What is the third derivative of -7*m**5 - 3*m**2 + 0*m**5 - q*m**c wrt m?
-420*m**2
Let z(t) be the first derivative of -125*t**5 + 3*t**4/4 - 1185*t**3 + 880. What is the third derivative of z(v) wrt v?
-15000*v + 18
Let m(d) be the first derivative of -727*d**4/2 - 581*d**3/3 + 886. What is the third derivative of m(v) wrt v?
-8724
Suppose -t = l, 6*l + t - 8 = l. Let d = 4 - -15. Differentiate 24*h**l - h - 30 + d + h wrt h.
48*h
Let n(r) be the third derivative of -139*r**7/105 - 7*r**5/60 - 17*r**3/6 - 1580*r**2. Find the third derivative of n(s) wrt s.
-6672*s
Let a(r) be the third derivative of 0*r**6 - 17*r**3 - 17/35*r**7 + 0 + 0*r**4 - 5*r**2 + 0*r + 0*r**5. Differentiate a(i) with respect to i.
-408*i**3
Suppose d - 4 + 0 = 0. What is the second derivative of -23 + 3*q**4 + q**4 - 73*q + d*q**3 + 24 + q**4 wrt q?
60*q**2 + 24*q
Let g be 1*((4 - 3) + -1). Let d be (g - 20/(-6))*3/1. Find the third derivative of -3*i**5 + 22*i**2 - 14*i**5 - 2*i**5 + d*i**5 wrt i.
-540*i**2
What is the second derivative of 1282*y**4 + 826*y**4 + 2531*y - 594*y**4 - 831*y + 965*y**4 wrt y?
29748*y**2
Let t(x) = 11033*x**2 + 18726*x + 48. Let m(i) = -7353*i**2 - 12484*i - 30. Let j(q) = -8*m(q) - 5*t(q). Find the second derivative of j(s) wrt s.
7318
Let x(j) be the first derivative of -j + 43/6*j**6 + 0*j**4 - 7/2*j**2 - 1/5*j**5 + 0*j**3 - 101. What is the second derivative of x(o) wrt o?
860*o**3 - 12*o**2
Suppose -5 = -4*b + a, 4*b - 3*a - 1 + 2 = 0. What is the third derivative of -5*w**4 + 2*w**2 + 12 + 2*w**4 + 5*w**b + w**6 - 8*w**2 wrt w?
120*w**3 - 72*w
What is the first derivative of 6360 - 6090 - 155*g**4 - 186*g**4 wrt g?
-1364*g**3
Let p(j) be the second derivative of 161*j**4/2 - 115*j**3/6 - 987*j. Find the second derivative of p(m) wrt m.
1932
Find the second derivative of -2 + 199*i + 121*i - 1673*i**3 - 2 - 13*i**3 - 1271*i**3 wrt i.
-17742*i
What is the second derivative of -21*u - 4*u**2 + 0*u**2 - 3727*u + 114*u**3 + 112


= -83*q - 588 for q.
-21
Solve -94*v - 301 = 451 for v.
-8
Solve 61 = -83*g + 1573 + 480 for g.
24
Solve -67 = -18*p + 81 + 68 for p.
12
Solve -41 = 30*o + 222 + 547 for o.
-27
Solve 385 - 38 = 71*u - 150 for u.
7
Solve -19*n - 687 = -459 for n.
-12
Solve 1496 - 1317 + 4886 = 1013*b for b.
5
Solve 563 = 22*q + 145 for q.
19
Solve 3*a = -13 - 1 - 25 for a.
-13
Solve -19*x + x + 0 + 18 = 0 for x.
1
Solve -245*r = -176*r for r.
0
Solve -100204*c = -100242*c - 494 for c.
-13
Solve 163*o - 1488 = -458 + 763 for o.
11
Solve 128 + 260 = 97*s for s.
4
Solve 66*y + 1035 = -29*y - 105 for y.
-12
Solve -24*r - 509 = 433 - 1398 for r.
19
Solve 93*k - 384 = -35*k for k.
3
Solve -997*j - 4301 = 3675 for j.
-8
Solve 9*v - 21*v + 363 = 21*v for v.
11
Solve -43 - 139 = -63*d + 7 for d.
3
Solve -520 - 600 = -173*a + 91 for a.
7
Solve -43 = 2225*c - 2306*c - 2959 for c.
-36
Solve 45*u + 36*u = -84*u + 990 for u.
6
Solve -146*j = -300*j + 139*j - 225 for j.
-15
Solve -259*l + 611 = -1979 for l.
10
Solve 8*v = -2*v - 3173 + 3003 for v.
-17
Solve -4*w - 4795 + 4783 = 0 for w.
-3
Solve 30*l - 35748 = -35328 for l.
14
Solve 0 = -172*z + 1318 - 286 for z.
6
Solve 553 = -167*h - 758 + 142 for h.
-7
Solve -24 = -27730*y + 27736*y for y.
-4
Solve 69*b - 701 + 328 = 938 for b.
19
Solve 562 = 88*o - 406 for o.
11
Solve -13362 + 13658 = 37*p for p.
8
Solve 0 = 2591*d - 2572*d + 190 for d.
-10
Solve -4380 = 151*v + 141*v for v.
-15
Solve 29*k + 1430 = 3*k - 104*k for k.
-11
Solve 239*k - 1170 = 149*k for k.
13
Solve 0 = -289*f + 164 + 414 for f.
2
Solve -70 - 1 = 26*v + 59 for v.
-5
Solve 119*j = -231 - 840 for j.
-9
Solve -44 = 24*r - 74 - 138 for r.
7
Solve -22*y + 90*y + 210 = 33*y for y.
-6
Solve 23*d = 2*d - 47*d - 816 for d.
-12
Solve 2*y + 23*y - 390 = -5*y for y.
13
Solve -54*q - 288 - 366 = -114 for q.
-10
Solve 128*p + 399 = -625 for p.
-8
Solve -8*o - 12315 + 12331 = 0 for o.
2
Solve 190*a - 188 = 5 + 377 for a.
3
Solve 0 = -20*i - 13*i + 297 for i.
9
Solve -212*p + 227*p + 210 = 0 for p.
-14
Solve 0 = 7*g + 4 + 1 - 5 for g.
0
Solve 131*h = 168*h + 113 + 72 for h.
-5
Solve 278*b - 277*b + 2 = 0 for b.
-2
Solve 478 = -128*a - 147 - 143 for a.
-6
Solve -13*f - 210 = 17*f for f.
-7
Solve 35*f = -1 - 63 - 181 for f.
-7
Solve -193 = -50*d - 993 for d.
-16
Solve -175959 + 175755 = -17*l for l.
12
Solve -10*b - 1245 = -1125 for b.
-12
Solve -55399*a + 55440*a - 90 = 812 for a.
22
Solve -315*q - 1470 = -21*q for q.
-5
Solve 22*j - 16*j - 310 = -56*j for j.
5
Solve 86*w = 47*w + 38*w - 5 for w.
-5
Solve 0 = -712*o + 670*o + 546 for o.
13
Solve -78*w + 46*w + 38*w = -18 for w.
-3
Solve -156*v - 933 - 307 = -32*v for v.
-10
Solve 0 = 39*u + 194 + 351 + 157 for u.
-18
Solve 780*q = 651*q - 4386 for q.
-34
Solve 37*t + 85 = 6*t - 39 for t.
-4
Solve -19*q - 31 = 53*q - 319 for q.
4
Solve 2277*y - 2477*y = -1800 for y.
9
Solve -39*r - 220 = 209 for r.
-11
Solve 751*n + 736*n - 1452*n = 770 for n.
22
Solve 587*f - 844*f = -8481 for f.
33
Solve -165 = 13*x - 87 for x.
-6
Solve -159*c - 150*c - 7364 - 670 = 0 for c.
-26
Solve 239*p - 284*p - 484*p - 7935 = 0 for p.
-15
Solve -719*z - 896*z - 24225 = 0 for z.
-15
Solve 38*b = 71*b + 330 for b.
-10
Solve -30*g - 5613 + 1893 = 125*g for g.
-24
Solve 1243*h = 1607*h + 3640 for h.
-10
Solve 101*g - 36 = 95*g for g.
6
Solve -63*n + 9 + 595 = -152 for n.
12
Solve 293*r = 151*r - 4306 + 1040 for r.
-23
Solve -66*w - 226 = -540 - 1534 for w.
28
Solve 30*x = 903 - 1083 for x.
-6
Solve 119*u + 393 - 1940 = 0 for u.
13
Solve -14 = 48*u - 299 - 3 for u.
6
Solve -11160 + 11055 = -7*k for k.
15
Solve 156*y + 202*y = -4225 + 1003 for y.
-9
Solve -658*g + 1170 - 13014 = 0 for g.
-18
Solve 5*w + 1700 = -1766 + 3531 for w.
13
Solve -325 = -9*n + 34*n for n.
-13
Solve 6815 - 9905 = -103*z for z.
30
Solve 6178 = 420*x - 1222*x - 9862 for x.
-20
Solve 3*a + 20*a + 5*a = 392 for a.
14
Solve 164*x - 323*x = -210*x + 306 for x.
6
Solve -319501*i - 70 = -319506*i for i.
14
Solve -36*v + 56 = 10*v - 32*v for v.
4
Solve 32*f + 76 - 332 = 0 for f.
8
Solve 444 + 2246 = 269*y for y.
10
Solve 820*s - 417*s - 480 = 427*s for s.
-20
Solve -256 = 208*t - 172*t - 40 for t.
-6
Solve 4 = 45*u - 167*u + 126 for u.
1
Solve -75 = 69*r + 684 for r.
-11
Solve 813 - 1694 + 818 = 7*b for b.
-9
Solve -13*n + 96 + 21 = 0 for n.
9
Solve 1568987*h - 36 = 1569023*h for h.
-1
Solve 20*l + 25*l = 38*l + 91 for l.
13
Solve 487*m + 23255 + 1145 = 1707*m for m.
20
Solve 527*c + 2560 = 9266 + 11739 for c.
35
Solve -6956 = -162*a - 6470 for a.
3
Solve 97*d - 490 = -1654 for d.
-12
Solve 227*c - 252 + 1614 = 0 for c.
-6
Solve 0 = 109*t - 412 + 48 - 181 for t.
5
Solve -18*u - 38*u = -37*u + 114 for u.
-6
Solve 5*a = -9*a + 35 - 63 for a.
-2
Solve 97*i - 332 + 38 = -50*i for i.
2
Solve 3037 = -154*h - 351 for h.
-22
Solve 0 = 162*c + 375*c - 361*c - 704 for c.
4
Solve 2129*k + 2781 = -67476 for k.
-33
Solve 0 = 22*z + 115*z - 685 for z.
5
Solve -10325*i + 10310*i + 165 = 0 for i.
11
Solve -350 + 187 = 16*b - 195 for b.
2
Solve 15035 - 2808 = 1497*p - 17713 for p.
20
Solve 2*v + 6*v - 3949 + 3917 = 0 for v.
4
Solve 50*k + 41*k - 768 = -165*k for k.
3
Solve -23*v = 487 - 464 for v.
-1
Solve 0 = -17*x - 20*x + 73*x + 432 for x.
-12
Solve 28*w + 22*w + 200 = 0 for w.
-4
Solve 55*h - 168 = 684 - 137 for h.
13
Solve 178*j = -21*j + 935 + 1055 for j.
10
Solve -34*m = -10*m - 70 + 22 for m.
2
Solve 0 = 1268*r - 6906 - 3064 - 174 for r.
8
Solve 86*q + 127 = 815 for q.
8
Solve -3632 = -106*d + 396 for d.
38
Solve -114 + 968 = -75*o - 571 for o.
-19
Solve -26*f + 9*f + 9 = -25 for f.
2
Solve -189*h - 3766 = 64*h + 788 for h.
-18
Solve -230*n = 2212 + 3538 for n.
-25
Solve 7246*n - 98 = 7260*n for n.
-7
Solve -16922 = 1388*g + 3898 for g.
-15
Solve -103*j - 117*j + 204*j = -16 for j.
1
Solve 133*m = -316*m + 108*m + 6138 for m.
18
Solve 258 + 206 = n - 30*n for n.
-16
Solve 544 = 960*k - 507*k - 485*k for k.
-17
Solve -907*w + 1026*w = -1190 for w.
-10
Solve -1216 = 1916*r - 1852*r for r.
-19
Solve -11*v + 685 - 515 = -28*v for v.
-10
Solve -19*p + 8*p = 33 for p.
-3
Solve -169*b - 127*b + 139*b - 1413 = 0 for b.
-9
Solve -139*i = -131*i + 24 for i.
-3
Solve -4176 + 16466 = 1229*w for w.
10
Solve 0 = -32*s - 28 - 4 - 64 for s.
-3
Solve 0 = 8*o - 62 + 78 for o.
-2
Solve 72*j - 408 = 32*j - 128 for j.
7
Solve 30*q = -10*q + 16*q - 24*q for q.
0
Solve 377*a - 197*a - 2880 = 0 for a.
16
Solve 25*b - 244 = -36*b for b.
4
Solve -494*k + 243*k + 209 = -240*k for k.
19
Solve -143 + 696 = -15*m + 358 for m.
-13
Solve -469*q + 1989 + 356 = 0 for q.
5
Solve 17*i = -9*i + 30*i - 8 for i.
2
Solve 989*x - 903*x = -430 for x.
-5
Solve -607*d - 3713 + 1623 = 6408 for d.
-14
Solve 156*d - 666 = -35*d + 98 for d.
4
Solve -934*c + 989*c - 19 - 641 = 0 for c.
12
Solve -264 = 29*s - 5*s for s.
-11
Solve 340*f + 237*f = -4039 for f.
-7
Solve -2783*g = -2757*g + 364 for g.
-14
Solve 12*g + 8196 = 8496 for g.
25
Solve -8*k = 40*k + 23*k + 781 for k.
-11
Solve 232 = -85*n - 108 for n.
-4
Solve 22*o = -o + 4*o - 361 for o.
-19
Solve 204*u - 918 - 90 = 540*u for u.
-3
Solve -173*a = -19*a + 282 + 1258 for a.
-10
Solve 17 = -20*b - 15 + 12 for b.
-1
Solve 75*d + 218*d - 5200 = -227*d for d.
10
Solve 60 = 14*j - 51 - 29 for j.
10
Solve 16*w - 1376 = -1600 for w.
-14
Solve 17*f = 72*f + 87*f - 2698 for f.
19
Solve -2698 = -709*o - 1367 + 2923 for o.
6
Solve -89*k = -155*k + 101*k - 455 for k.
13
Solve 11*s + 12*s = 11*s + 48 for s.
4
Solve 166*s + 17 = 150*s - 95 for s.
-7
Solve 0 = -h + 10 - 15 for h.
-5
Solve -113872 + 113809 = -63*p for p.
1
Solve -258*d - 1530 = -3*d for d.
-6
Solve -39*s - 87 = 69 for s.
-4
Solve -666851 = 24*h - 666251 for h.
-25
Solve -38*j = 9*j + 19*j - 594 for j.
9
Solve 6*w + 46*w - 682 = -10*w for w.
11
Solve -3839 = -68*h - 2751 for h.
16
Solve 0 = -988*m + 1031*m for m.
0
Solve 274*v - 325 - 497 = 0 for v.
3
Solve -67*i - 214*i - 3575 = 44*i for i.
-11
Solve 22940*z + 2016 = 22796*z for z.
-14
Solve 0 = -85*p - 146*p + 3234 for p.
14
Solve 0 = 39*u - 49*u + 70 for u.
7
Solve 18*z - 7*z - 1155 + 979 = 0 for z.
16
Solve -36 = -2*g + 4*g + 10*g for g.
-3
Solve 4*h = 15*h - 319 + 363 for h.
-4
Solve -219 = 38*k - 257 for k.
1
Solve -5*f + 8*f = 42 for f.
14
Solve 4*v = -13413 + 13393 for v.
-5
Solve


7).
1
Let r(i) = 14 + i**3 + 9 - 5*i**2 - 22 + 6*i**2. What is r(0)?
1
Let q(f) = -f**3 - 6*f**2 + f + 6. Let z(b) = b**2 + 8*b - 2. Let n be z(-8). Let y be -2 + 4 + 16/n. Give q(y).
0
Let l be ((-4)/10)/(2/(-10)). Let w(v) = 2*v + 2. What is w(l)?
6
Let g(i) = 5*i - 2*i**3 - 4*i - i**2 + 4 - 3. Let m = -2 + 1. What is g(m)?
1
Let v(a) = 2*a + 0 + 2 + 2*a + 3*a**2. Let w(s) = -s**2 + 7*s + 2. Let j be w(7). Suppose 0 = -6*y + j*y - 2*x - 18, -2*y = -x - 1. Calculate v(y).
6
Let r = 7 + -5. Let j(q) = -r*q + q**2 - 3 + 0*q + 0. Calculate j(3).
0
Let a(y) be the third derivative of -y**4/24 - 2*y**3/3 - 5*y**2. Let z = -3 + 1. Let m(s) = s**3 + 2*s**2 + s - 1. Let w be m(z). Determine a(w).
-1
Let y(g) = -13*g**2 + 3*g + 3. Let d(v) = 12*v**2 - 4*v - 4. Let i(j) = -3*d(j) - 4*y(j). Determine i(1).
16
Let m(g) = -3*g**3 - 7 + 4*g**2 - g + 2*g**3 - 12*g**2 + 5. Give m(-8).
6
Let y(f) = 2*f**2 + 5*f + 5. Let g be y(-2). Let n(d) = 8*d + 2 - 6*d - d - g. Let w = 8 + -4. Calculate n(w).
3
Let n(w) be the third derivative of -w**5/60 - w**4/12 + 5*w**3/6 + 7*w**2. What is n(-4)?
-3
Let w(o) = -152 + 5*o + 3*o**2 - 4*o**2 + 147. Suppose 3*k + 5 = 8*k. Suppose k = -4*y + 17. What is w(y)?
-1
Let r(x) be the first derivative of x**3/6 + x**2/2 - 3*x - 2. Let o(h) be the first derivative of r(h). Calculate o(6).
7
Let l(w) = 6*w - 11. Let r(y) = -5*y + 9. Let p(q) = -2*l(q) - 3*r(q). Give p(4).
7
Let n = 0 - -1. Let u(g) = -g + 3*g - 18 + 19. Calculate u(n).
3
Let y(l) be the first derivative of l**4/4 + l**3 - l**2 + 3*l - 2. Let q(i) = i**2 - 10*i + 5. Suppose 0*t - 18 = -2*t. Let f be q(t). What is y(f)?
-5
Let w(t) be the first derivative of t**4/4 - 5*t**3/3 - 3*t**2 - 6*t + 14. Let n(p) = -p + 6. Let q be n(0). Give w(q).
-6
Let x(q) be the first derivative of -q**4/4 - 4*q**3/3 - 3*q**2 + 51. Determine x(-4).
24
Suppose 9 = 3*g - 0*g. Let d(f) = -804*f + f**3 - 20 - 3*f**2 + 22 + 805*f. Calculate d(g).
5
Let o(a) = -3*a - 3. Let g(x) = x**2 + 2*x - 3. Let d be g(-3). Suppose 4*k + 3*n - 7 = d, -2*k - 5*n = -3*k - 27. Calculate o(k).
3
Suppose -6*r + 3*r = -30. Suppose 5*d + 4 = -1, 0 = b + 2*d - r. Suppose -c = 2*c - b. Let j(g) = -g**2 + 3*g + 1. Calculate j(c).
-3
Let d(z) = -4*z + 2. Suppose -7*b - 36 = 5*b. Give d(b).
14
Suppose -d + 3 + 1 = 0. Suppose -3*v - c - 2 = 0, -v + c = 2*v + d. Let a(y) be the second derivative of -y**4/3 - y**3/6 + y. Calculate a(v).
-3
Suppose 4*g - 4 = -g - 3*f, 0 = 3*g + 5*f + 4. Let w(x) = -x - g*x + x**2 + x + 7 - 5*x. Calculate w(5).
-3
Let c = 0 - -1. Suppose 4 = 4*z - 16. Let x(l) = 17*l**3 + 5*l**2 - 3*l + 5. Let b(d) = -9*d**3 - 3*d**2 + 2*d - 3. Let o(n) = z*b(n) + 3*x(n). Calculate o(c).
7
Let i(o) = o**3 + 9*o**2 - 5*o + 1. Let f(h) = -h**2. Let w(d) = 5*f(d) + i(d). Calculate w(-5).
1
Let k(i) be the third derivative of 0 + i**2 + 1/12*i**4 - 1/6*i**3 + 0*i. Give k(3).
5
Let d(l) = -11*l**2 + 6*l**2 + 4*l**2 + 1 - 3*l. Give d(-5).
-9
Let s(g) = -g**2 - 2*g + 3. Suppose -3*w + 18 = -3*m, 5*m + 2*w + 38 = 3*w. Let t(n) = n + 8. Let r be t(m). Suppose -b = 3 - r. Give s(b).
0
Let h = -5 - -9. Let i(r) = -r**3 + 5*r**2 - 4*r + 6. What is i(h)?
6
Let r(q) = -q**3 - 2*q**2 + 9*q + 6. Let h(d) = -d**2 + d + 1. Let f(x) = 5*h(x) - r(x). Let i be (2 - -4)*(-2)/3. Let n = i - -8. Calculate f(n).
-1
Let g(w) = 4*w. Let n(t) = t**3 - t**2 + t - 2. Let b be n(2). Let l(i) = b - 2 + 0*i**2 - 7*i**2 - i**3 + 2*i**2. Let v be l(-5). Determine g(v).
8
Suppose 0 = -4*k - i + 19 - 2, 23 = k + 4*i. Suppose -l + k = -2*l. Let u = -1 + l. Let h(z) = -z**3 - 3*z**2 + 3*z - 3. What is h(u)?
1
Let h(u) = 4*u + 2*u + 3*u**2 + 0*u - 7. Let q(d) = -4*d - 10*d - 7*d**2 + 11 + 4 + d. Let g(k) = -9*h(k) - 4*q(k). Give g(2).
3
Let k be (3/6)/(1/10). Let u(q) be the third derivative of q**7/5040 - q**6/90 + q**5/30 - 2*q**2. Let s(g) be the third derivative of u(g). Give s(k).
-3
Let f(o) be the second derivative of o**3/6 + o**2 + 5*o. Let s = 23 + -29. Calculate f(s).
-4
Let j(q) = q**3 - 13*q**2 - 3*q + 27*q**2 + 4*q - 12*q**2. Suppose 4*y - y = 5*b - 2, b + 3*y = 4. Let t = b - 3. Calculate j(t).
-2
Let i(d) be the second derivative of -d**4/12 + d**3 + 3*d**2/2 + 2*d. Let h(c) be the first derivative of i(c). What is h(4)?
-2
Let g(t) = -3*t**2 - 5*t + 8. Let p(r) = -7*r**2 - 11*r + 17. Let o(k) = -9*g(k) + 4*p(k). Give o(-3).
-16
Let g(s) be the first derivative of s**2/2 + 2*s + 6. What is g(3)?
5
Let w be ((-10)/15)/(1/3). Let r be (w/2)/((-5)/(-30)). Let x(q) = q**3 + 5*q**2 - 5*q. Give x(r).
-6
Let c(f) = -9 - 3*f**2 + 2 + 9*f**2 + 6*f. Let r(x) = -x + 1. Let d(s) = -c(s) - 6*r(s). Suppose 2*a + 17 = 7*a - 3*m, 4*a - 12 = 2*m. What is d(a)?
-5
Let k(u) = -u**2 + 3*u + 2. Let f be 1*12*2/4. Suppose 8 = 2*p - f*p. Give k(p).
-8
Let w(b) = 71 - 2*b - 71. Determine w(-4).
8
Let q = -8 - -6. Let j = -13 - -37. Let o(x) = 1 - j*x - x**2 + 24*x. Give o(q).
-3
Suppose 3*r = -5*k + r + 27, 30 = 2*k - 4*r. Let n(p) be the second derivative of p**4/12 - 4*p**3/3 + p**2/2 + p. Give n(k).
-6
Let v = -15 - -15. Let z(i) be the second derivative of i**3/6 - 7*i**2/2 - 2*i. What is z(v)?
-7
Let j be 6/(-51) - 30/34. Let k(t) = 3*t**3 + t**2 - t - 1. What is k(j)?
-2
Let h(u) = -u**3 + 2*u**2 - u + 1. Let r be (-9)/(-6) + 4/(7 + 1). Give h(r).
-1
Let b(m) = m - 3 - 5 + 5 + 4. Suppose 5*a = -5*q - 15, -a - 1 = -q - 4*a. Let g(k) = k**2 + 5*k + 3. Let l be g(q). Determine b(l).
4
Let s be 3 - (-2 - 2)/2. Let f(j) = -8*j**2 + j. Let h(k) = -17*k**2 + 3*k. Let v(x) = s*f(x) - 2*h(x). Determine v(1).
-7
Let k(y) = -3 - 3*y + 2 + 2*y**2 - 3*y**2. Let w(l) = 2*l**2 + 5*l + 1. Suppose -5 = 2*b - b. Let d(i) = b*k(i) - 2*w(i). What is d(-4)?
-1
Let s(f) = -2*f**3 + 4*f + 4*f**2 + 1 - 2*f**3 + f**3 + 2*f**3. Suppose 5*v - 20 = v. Calculate s(v).
-4
Let g be ((-21)/(-6))/(2/4). Suppose 0 = 2*b + 3 - g. Let f(m) = -3*m + 12 - b*m + 4*m. Calculate f(5).
7
Let f(v) = 2*v**2 + 4*v. Let u(n) = -n**2 - 4*n - 1. Let g(m) = -2*f(m) - 3*u(m). Suppose 0 = 3*b + 2*b - 10. Suppose z - b*z = -4. Give g(z).
3
Let f(a) be the first derivative of -a**2/2 + 4*a + 45. What is f(8)?
-4
Let s(q) = 0*q**2 + q**2 - 3*q + 3 - 2*q. Calculate s(5).
3
Let h(c) = -c**3 - 5*c**2 + 2*c + 4. Suppose 4*j - 8 = -0*j. Suppose j*s + 1 = -u - 12, -3*u + 3*s - 3 = 0. What is h(u)?
-6
Let a(y) = -2*y + 20. Let m be a(11). Let d(j) = j**3 + 4*j**2 + 4*j + 3. Determine d(m).
3
Let k(i) = -i**3 + 6*i**2 - 8*i - 5. Let v(j) = 5*j**2 - 7*j - 4. Let p(h) = -5*k(h) + 6*v(h). Give p(1).
4
Let f(k) = 5*k**2 + 9*k + 17. Let y(m) = m**2 + 2*m + 4. Let n(g) = 2*f(g) - 9*y(g). Determine n(-2).
2
Let i(r) be the second derivative of r**3/6 - 3*r**2/2 - r + 1. Calculate i(4).
1
Let v(s) be the third derivative of s**6/720 - s**5/60 - s**4/8 + 5*s**2. Let x(o) be the second derivative of v(o). Give x(0).
-2
Let a(y) = -10*y - 3. Suppose 2*t - 12 = 2. Let d(v) be the second derivative of -7*v**3/6 - v**2 - 2*v. Let w(i) = t*d(i) - 5*a(i). Give w(-3).
-2
Let a = -10 - -5. Let c(d) = 0*d**2 + 5*d**2 + 5*d - 6 - d**2 - 3*d**2. Give c(a).
-6
Let s(t) = t**2 - t + 2. Let n(i) = -i**2 + 4. Let y be ((-12)/10)/((-8)/(-20)). Let r be n(y). Let b = r - -7. Calculate s(b).
4
Let b(o) = o + 3. Suppose -w = 2*w - m + 15, 17 = -2*w + 3*m. Let k(u) = -u**2 - 4*u - 5. Let i be k(w). Let g be (-6 - i)/(2/10). Give b(g).
-2
Let x(h) be the third derivative of -h**5/60 + 7*h**4/24 - 7*h**3/6 + 10*h**2. Let u(z) = -2*z. Let a be u(-5). Let p = a - 5. Give x(p).
3
Let g = -6 + 9. Suppose -4*o + 5 = -g. Let k(t) = t - 6 + 5*t**o + 4 + t**3 - 2. What is k(-4)?
8
Let i(j) = 3*j - 1. Let c(p) = -p + 1. Suppose 3*u = -0 + 3. Let v(n) = u*i(n) + 2*c(n). Let q = -13 - -18. Give v(q).
6
Let x(m) = 10*m**2 + m. Suppose 0 = 5*p - 10. Suppose -1 = -p*o - 3. Calculate x(o).
9
Let y(l) = -l**3 + 1. Let m(p) = -5*p**3 + 2*p**2 + 6. Let a(u) = m(u) - 6*y(u). Give a(-2).
0
Let t(s) = -s**2 + s + 1. Let i(v) = v**2 + v + 2. Let d be i(2). Let k = d + -4. Let j = -4 + k. Calculate t(j).
1
Let f(k) = -2*k**3 + 3*k**3 - 7 - k**2 + k + 3 - 4*k. Give f(3).
5
Let y(x) = -3*x - 3. Let j be y(-5). Suppose 2*p + p - j = 0. Let a(w) = w**2 - 2*w - 1. Calculate a(p).
7
Let c be (-13 + 8)*(-4)/10. Let p(l) = -l + 1 + l**2 - 2*l**2 + 2*l**2 - 2*l**c


+ 47. What is z(p)?
-9
Let s be (-80)/(-4) + (-5 - -2). Suppose 2 = -3*f + s. Let w(q) = -q**2 + 5*q + 3. Give w(f).
3
Let z(l) = l**3 + 6*l**2 + 4*l - 3. Let j be ((-23 - -3)/4)/1. What is z(j)?
2
Let w(c) = 15*c**2 + c. Let l be w(-1). Suppose 3*s + 3 = 3*y + 9, 3*y + s - l = 0. Suppose u = -y*u + 4. Let d(f) = f. Give d(u).
1
Let l(i) = -i - 2. Let v be l(-6). Let w = 3 - v. Let o(c) be the first derivative of -5*c**4/4 + c**3/3 + c**2/2 + c + 3. Calculate o(w).
6
Let x(t) = 0 + t**2 - 1 - t**2 + t**2. What is x(1)?
0
Suppose -2*k = -12*k - 50. Let z(o) = o**2 + 4*o - 3. Determine z(k).
2
Suppose 0*v - 4 = -4*v. Suppose -4*u - 3 = y + v, -5*u + y - 5 = 0. Let j(k) = -16*k**2 - 1. Give j(u).
-17
Let k(y) = 3*y + 2*y + 1 - 2*y + 1 + 3*y**2 + y**3. Give k(-3).
-7
Let f(i) = -6*i + 1. Let p be (-147)/(-12) - 2/8. Suppose 2*a + 2*b = p, -5*a + b + 5 = -1. Give f(a).
-11
Let s(d) = -4*d**3 - 2*d + 1. Let n(r) = 0*r - 14*r**3 - 8*r + 4 + r + 3*r**3 - r**2. Let p(k) = 2*n(k) - 7*s(k). What is p(1)?
5
Let n(x) = -1 + 2*x**2 + 8 - 8. Suppose -q + 5 = -3*g, -3*g = -2*q - 2*g + 15. Suppose 0*z = -4*z - q. Give n(z).
7
Suppose g + 7 = 4*v + v, -3*v + 4*g - 6 = 0. Let b be 4/6 + 4/3. Let y(z) = 4*z + 0*z - 3*z**b - 2*z + z**3. Calculate y(v).
0
Let z(c) = -5*c. Let h = -8 - -5. Calculate z(h).
15
Let n(b) = b + 5. Let y be n(-8). Let q(o) = 538 + 3*o**2 - 542 - 3*o + 0*o**3 + o**3. Determine q(y).
5
Let f(k) = k**3 - 2*k**2 + k - 1. Let p(s) be the first derivative of s**2/2 + 2*s + 3. Let h be p(0). Give f(h).
1
Let x = -23 - -29. Let m be (-16)/x + (-11)/33. Let s(v) = v + 4. Determine s(m).
1
Let g(w) be the first derivative of w**2/2 - 2*w - 11. Suppose 0 = 2*j - j + 12. Let k = j + 17. Give g(k).
3
Let m(f) = -f**3 - 13*f**2 - 12*f - 6. Let i be m(-12). Let a(x) = -x**2 - 6*x + 2. Give a(i).
2
Let l(f) = f**3 + 5*f**2 + 4*f + 1. Let m(w) = w**3 + 2*w**2. Let i be m(-2). Let t = i + -3. Determine l(t).
7
Let i(l) = 3*l**2 + 12*l + 1. Let z be i(-3). Let y(u) = -u - 9. Give y(z).
-1
Let w(z) = -2*z - 3*z**2 - 2*z**2 + 8*z + z**3 - 5 - z**2. Let q be w(5). Let c(a) = -a - 5. Calculate c(q).
-5
Let d(k) = k**3 - 4*k**2 - 5*k - 2. Suppose g = z, 0 = 4*z - 5*g + 5 - 0. Let n be d(z). Let m(c) = c**3 + 3*c**2 + 2*c + 1. Give m(n).
1
Suppose 4 + 12 = -c - 4*s, 4*s = 4*c - 36. Let m(h) = 6 - 9*h**2 + 7*h + 2 + c*h**2 - h**3. Let n be m(-6). Let a(w) = -2*w**2 + w + 2. What is a(n)?
-4
Let p(m) = -20*m + 12 + 21*m - 3 - m**2. Give p(0).
9
Let z(u) = u**2 - u - 1. Let p(g) = -g + 10. Let q be p(7). Let f(x) = x + q*x - 2*x - 1 + 2*x. Let d be f(1). What is z(d)?
5
Let d(s) = s - 4 + 0 + 0 + 3. Calculate d(3).
2
Let x(b) be the first derivative of -3 - 1/3*b**3 - 3*b - 1/2*b**2. What is x(-3)?
-9
Let m(a) be the third derivative of -a**9/60480 + a**8/4032 + a**7/2520 - a**6/240 - a**5/30 + 3*a**2. Let d(w) be the third derivative of m(w). Calculate d(5).
7
Let v be (-16)/64 + (-82)/(-8). Let g(a) = a - 16. Determine g(v).
-6
Let a(z) be the second derivative of -z**5/120 + z**4/12 - 7*z**3/6 - z. Let m(u) be the second derivative of a(u). Determine m(-6).
8
Let x(c) = 5*c**2. Suppose 6 = -6*n - 0. Calculate x(n).
5
Let m(d) = 109*d + 105*d - 213*d + 3. What is m(-5)?
-2
Let n(b) = b**2 - 6*b - 8. Suppose -3*u + 23 = l, -2*u + 6*u - 44 = -4*l. Calculate n(u).
-8
Suppose -26 = -5*o + 3*v, 5*v - 1 = 4*o - 14. Let l(a) = -a**2 + 9*a - 8. Give l(o).
6
Let i(y) = 4*y**2 + 3*y + 2. Let l(u) = -5*u**2 - 4*u - 3. Let a(b) = -4*i(b) - 3*l(b). Let s be a(-1). Let p(w) = -5 + 0 + w**2 - w**3 - 4. What is p(s)?
-9
Let h(c) = -c**2 - 7*c + 12. Let a be h(-9). Let x = 9 - 5. Let d = a + x. Let i(o) = -4*o + 1. What is i(d)?
9
Let u(k) = k**2 + 7. Let x(h) = 0*h - 3*h**2 + 4 - 8 - h - 16. Let w(d) = 11*u(d) + 4*x(d). Suppose -2*n = 4*b - 3*b, 5*n - 9 = 2*b. Determine w(b).
1
Let l(d) be the first derivative of 3*d**2/2 + 8*d + 3. Determine l(-6).
-10
Let t(b) be the second derivative of -b**4/12 - b**2/2 - 7*b. Let f = 3 - 3. Determine t(f).
-1
Let d = -25 - -13. Let s = d - -18. Let u(m) = 2*m - 1. What is u(s)?
11
Let y be (-2)/(-8) - (-22)/8. Suppose 2*f = 4*t - 8, 2*f = -t + 5*f + 2. Suppose -y*v - t*i = -4, 0 = -4*v - 5*i + 7 + 3. Let g(z) = -z - 6. What is g(v)?
-6
Let x(b) be the second derivative of 1/12*b**4 + 3/10*b**5 + 0 + 0*b**2 + 1/6*b**3 - 3*b. Determine x(-1).
-6
Let w = -13 - -18. Let h = -1 - -4. Let r(s) = -h + 0 - 5*s + w. Give r(2).
-8
Let w(b) = 3 + 1 - 4*b - 5 - b**2 + 0. Calculate w(-5).
-6
Let c(b) = 2*b + 1. Let j(x) = -x**3 - 4*x**2 + 3. Let y be j(-3). Give c(y).
-11
Let w(y) = y**2 - 3*y - 2. Let i = -125 - -57. Let g = -32 - i. Let f be 8/g - 68/(-18). Determine w(f).
2
Let s(t) = t**3 + 14*t**2 - t - 12. Let d be s(-14). Let k(b) = b**3 + 2*b. Determine k(d).
12
Suppose 0 = 5*l - 5*b - 45, -b - 3*b = 5*l. Suppose j + 0*j + 8 = l*y, 3*y + j - 13 = 0. Let r(n) = 2*n - 4. Calculate r(y).
2
Let z(b) be the second derivative of -b**4/12 - b**3/3 - b. Let o(w) = 2*w**2 - 13*w - 9. Let l be o(7). Calculate z(l).
0
Let n(j) = -j**3 + 7*j**2 - 6*j - 7. Let y(b) = -b**2 - 7*b - 6. Let d be y(-4). Let l be n(d). Let f(p) = p + 10. What is f(l)?
3
Let t(n) = 5*n. Let g(r) = -4 + 4*r**2 + 3 + 0 + 3*r + r**3. Let o be g(-3). What is t(o)?
-5
Let i(n) = 2*n**2 + 2*n**2 + 4*n - 6*n**2 - 1. What is i(3)?
-7
Let q(l) = -4*l - 2. Let r(h) = -11*h - 5. Let i(w) = -8*q(w) + 3*r(w). Determine i(4).
-3
Let j(o) be the second derivative of o**4/12 - 2*o**3/3 + o**2/2 - o. Let g be j(5). Let s(w) = -w**3 + 6*w**2 - w. Give s(g).
-6
Let s(z) be the second derivative of -z**5/20 - 5*z**4/12 + 2*z**3/3 - 2*z**2 + 17*z. What is s(-6)?
8
Suppose 3*z - 6*z + 8 = -4*h, 4*h - 4*z + 4 = 0. Suppose 6*o - 15 = o. Let m(n) = 4*n - 2*n**o + n**3 + 0*n - 4*n**2. Determine m(h).
5
Let f(z) = -z**3 + z**2 - 6*z**2 + 2*z**2 - 2*z. Let h = 1 + -3. What is f(h)?
0
Let y be ((-16)/20)/(2/10). Suppose -3 = -5*b + 17. Let k(j) = 4*j + 3*j + 3*j + j**2 - b*j + 6. Determine k(y).
-2
Let f(n) = n**2 - n - 3. Let b = 13 + -16. Give f(b).
9
Let s(i) = -4 + 3 + 0 - i + 5. Let q(o) = -2*o + 12. Let k(x) = 3*q(x) - 8*s(x). What is k(-4)?
-4
Let x be (-32)/(-6) - 16/(-24). Let b(k) = k**2 - 5*k - 6. Determine b(x).
0
Suppose -5*v - 4 - 26 = 0. Let h(k) = -k**2 - 5*k - 3. Calculate h(v).
-9
Let p(g) = -5*g**2 + 4 + g - 3 + g. Suppose 3*t + 2 = -4. Let z be -1*(2 - (-1 - t)). Determine p(z).
-6
Let m(o) = 10*o**3 + 10*o**2 - 10*o + 22. Let z(f) = 3*f**3 + 3*f**2 - 3*f + 7. Let v(k) = -2*m(k) + 7*z(k). Calculate v(0).
5
Suppose 4*q - 92 + 32 = 4*x, 0 = -4*q - 2*x + 30. Let n(u) = q*u - 1 - 15*u + 4*u. Suppose 3*j - t = -3*t - 2, 0 = 5*j + 4*t. Calculate n(j).
3
Let d(l) be the third derivative of 1/6*l**3 - 1/12*l**4 - 1/30*l**5 + 0 + 0*l + 1/120*l**6 + 2*l**2. Determine d(3).
4
Let u be 4/(-10) + 254/10. Suppose -3*z - 2*z + u = 0. Let h(w) = -w**2 + 6*w - 5. Determine h(z).
0
Let v = 2 + 3. Let b(f) = -1. Let u(p) = -p**2 + 2*p + 6. Let t(d) = b(d) + u(d). Determine t(v).
-10
Let j(n) = 22*n**2 + 13*n**2 - 33*n**2 - n**3 - 2*n. Calculate j(2).
-4
Let i(w) = w + 3. Suppose 5 - 13 = -2*x. Suppose 0 = 2*u - 16 - 6. Suppose -2*l - 4 = 3*v, u = -x*l + l - 2*v. Calculate i(l).
-2
Let w(q) = 9*q**3 + q**2 - q - 2. Let p(s) = s**3 - 1. Let k(i) = p(i) - w(i). Calculate k(-1).
7
Let h(m) = 4 + 2*m - 20 - 4*m + 3*m. Calculate h(0).
-16
Suppose -2*x - 15 = -7*x. Suppose 0 = -x*q - 2 - 4. Let c(t) = -t - 1. What is c(q)?
1
Let l(c) be the first derivative of c**5/20 + c**4/12 + c**3/3 + c**2 + 2*c - 1. Let b(f) be the first derivative of l(f). What is b(-2)?
-6
Suppose 7*c - 4*c + 18 = 0. Let x(m) = -m**3 - 5*m**2 + 9*m + 5. Give x(c).
-13
Let t(a) = 19*a - 7. Let h(r) = -2*r + 1. Let p(k) = -6*h(k) - t(k). Determine p(-1).
8
Let p(f) = 3*f**2 + f. Let b be p(-1). Let h(q) = -3*q - 4*q + 6 - 3 + q**b + 3*q. What is h(5)?
8
Let l(y) be the first derivative of y**3/3 - 3*y**2/2 - 4*y - 3. Give l(5).
6
Let m(u) = 2*u + 2. Suppose j + 4 = -2*r, r = -j - 2*j + 8. Calculate m(r).
-6
Let q(p) = -p**2 - 9*p + 11. Let a(g) = 2*g**2 + 19*g - 23. Let i(s) = 4*a(s) + 9*q(s). Let l(c) = -c**3 - c - 5. Let m be l(0). Calculate i(m).
7
Let w(s) = -s**2 + 5*s + 7. Suppose -5*i - 2*y + 39 = -0*i, -y - 12 = -2*i. Determine w(i


40 - -1?
-43094183a
In base 15, what is 1e85a7 - 48?
1e855e
In base 9, what is -11371052 + 48?
-11371003
In base 14, what is 18a48 + -1d6?
18852
In base 15, what is 6b - -1841d?
18489
In base 2, what is 110010 - 110110010111100000000101?
-110110010111011111010011
In base 10, what is 434761 - 1?
434760
In base 12, what is 154 + 2767a5?
276939
In base 16, what is 11 - -45d58c?
45d59d
In base 10, what is -76 + -66859?
-66935
In base 13, what is -12c - ba474?
-ba5a3
In base 15, what is -19dcb271 - 3?
-19dcb274
In base 13, what is 2920c80 - -81?
2921031
In base 2, what is -1100011110000 - 110011110111?
-10010111100111
In base 12, what is 367161033 - 3?
367161030
In base 13, what is -70 - -25a79?
25a09
In base 10, what is 961752 - -7?
961759
In base 2, what is 10000100010111101110010110 - 100?
10000100010111101110010010
In base 13, what is -7 + 488301?
4882c7
In base 14, what is -110 - 1a9968?
-1a9a78
In base 12, what is -3 - -87a63a?
87a637
In base 16, what is -37be0 + -88a?
-3846a
In base 10, what is -1250 - 313611?
-314861
In base 16, what is 17 - -491ac?
491c3
In base 15, what is -3 + -1dda18?
-1dda1b
In base 11, what is a + 484179?
484188
In base 3, what is 1201220020 + -1120?
1201211200
In base 16, what is 0 + -83c44ab?
-83c44ab
In base 2, what is -101011010011100101100 - 11?
-101011010011100101111
In base 14, what is 16467b0 + 5?
16467b5
In base 14, what is 7c - -a2a?
aa8
In base 2, what is -10101000000010100110 + 10001?
-10101000000010010101
In base 16, what is 1 + 1d431c?
1d431d
In base 14, what is 4787 + -b25?
3a62
In base 11, what is 1 + -2554692?
-2554691
In base 4, what is 322132302332 + -220?
322132302112
In base 8, what is 152574223 + -4?
152574217
In base 12, what is 1815 + -504b?
-3436
In base 10, what is 492146 + -3?
492143
In base 13, what is -29 - -140c89?
140c60
In base 12, what is 6992 - -939b?
14171
In base 5, what is -240202013 - 121?
-240202134
In base 5, what is -140410 + -32240?
-223200
In base 4, what is -132220 - 22333121?
-23132001
In base 16, what is be16 - -2ad?
c0c3
In base 6, what is 2143330 + 5320?
2153050
In base 14, what is 3d1a3 - 3a?
3d167
In base 6, what is 301 + 4244204?
4244505
In base 14, what is 2c05da + -51?
2c0589
In base 15, what is -82e5 - -9036?
c41
In base 5, what is -3 - -214003000?
214002442
In base 6, what is 0 + 3303523415?
3303523415
In base 14, what is -5 + -5a69c9?
-5a69d0
In base 9, what is -24804 - 141?
-25045
In base 12, what is 5325a + -10?
5324a
In base 10, what is 29 + 234644?
234673
In base 9, what is -4165 - -18121?
13845
In base 4, what is -330033 - 3110?
-333203
In base 2, what is -10100110000 + -100111101000?
-111100011000
In base 8, what is 6572731 - 22?
6572707
In base 8, what is 10406336 - 234?
10406102
In base 3, what is -102211010111122 - -1021?
-102211010110101
In base 11, what is -754 - 643?
-1297
In base 11, what is -3162636a + 4?
-31626366
In base 16, what is 0 + 42fdfd7?
42fdfd7
In base 10, what is -1011274965 + 5?
-1011274960
In base 13, what is 2a5c7305b - 2?
2a5c73059
In base 6, what is -5 - -14555155003?
14555154554
In base 3, what is 100201211002210122 - 11?
100201211002210111
In base 14, what is -2cb434 - 0?
-2cb434
In base 15, what is -11670b + 283?
-116478
In base 6, what is 3 - 11512305?
-11512302
In base 13, what is -9c - -18292?
181c3
In base 14, what is -27093 + -137?
-271ca
In base 13, what is 1c27b - 1013?
1b268
In base 4, what is -321030133011 + -3?
-321030133020
In base 6, what is -5215233 - -21?
-5215212
In base 5, what is 320344 - -10134?
331033
In base 3, what is -22 + 210120110202?
210120110110
In base 3, what is 101110121222021 + -2?
101110121222012
In base 11, what is -2aa79535 - -5?
-2aa79530
In base 12, what is -2385a06a + -2?
-2385a070
In base 2, what is 111111110111001 - 11011111?
111111011011010
In base 15, what is -1d12542 - 0?
-1d12542
In base 12, what is 835b57 - -5?
835b60
In base 11, what is 4003439a6 - 0?
4003439a6
In base 4, what is -1223300201120 + 1?
-1223300201113
In base 2, what is 1 + 11101101011111111000101111?
11101101011111111000110000
In base 12, what is -2 + -b8783a?
-b87840
In base 10, what is -168 - 2896943?
-2897111
In base 4, what is -11220330 - -21103330?
3223000
In base 14, what is 213 + 1027?
123a
In base 9, what is -123740 - -35146?
-77583
In base 6, what is -4 - 3501403144?
-3501403152
In base 10, what is -6 + -1600861?
-1600867
In base 3, what is -110 - 22012012002002?
-22012012002112
In base 3, what is -12220000 + -10101020?
-100021020
In base 2, what is -100100 - 1001101000000001111100011?
-1001101000000010000000111
In base 9, what is 3 - -16027376?
16027380
In base 14, what is -9 - 10b238c?
-10b2397
In base 4, what is -11021012000 + 13?
-11021011321
In base 6, what is -145434132 + -3?
-145434135
In base 8, what is -3257 - 5375?
-10654
In base 15, what is -71 + -10306?
-10377
In base 10, what is -469 - 1065018?
-1065487
In base 7, what is 2 - -6515540?
6515542
In base 14, what is 4 + -ac6471?
-ac646b
In base 4, what is 112213 - -3313122?
10032001
In base 14, what is 4 + -1a52dd5d?
-1a52dd59
In base 11, what is 9345335 + 44?
9345379
In base 7, what is 1050 + -1010356?
-1006306
In base 9, what is -2 - -213635301?
213635288
In base 2, what is -10 - 10100000001000000111100?
-10100000001000000111110
In base 10, what is 4 + 2393107?
2393111
In base 4, what is -3200022200 - -101?
-3200022033
In base 8, what is -5 - 315520637?
-315520644
In base 8, what is 13361514 + -276?
13361216
In base 14, what is 10 - -1238b?
1239b
In base 5, what is -2332331000 - 10?
-2332331010
In base 13, what is -4150 + -7922?
-ba72
In base 13, what is -2a7c - -5396?
2617
In base 6, what is 5 - -1311344033?
1311344042
In base 13, what is -4a1 - -57001?
56830
In base 11, what is 20 - 108986?
-108966
In base 13, what is -a302932 + 3?
-a30292c
In base 2, what is -1100111100000 + -100011011010111?
-110000010110111
In base 16, what is 4853 - -36?
4889
In base 4, what is -122031 - -32302210?
32120113
In base 3, what is -1010211000120202 - 0?
-1010211000120202
In base 15, what is 81e4 + -39?
81aa
In base 11, what is -7 - -426866?
42685a
In base 4, what is -20331330322212 - 1?
-20331330322213
In base 4, what is -100 + 233212303?
233212203
In base 8, what is 110773 - 1436?
107335
In base 14, what is -209816 - 0?
-209816
In base 14, what is 249 - -4d512?
4d75b
In base 3, what is -10011222 + -11212?
-10100211
In base 2, what is -100111 - 10000011010001100001110?
-10000011010001100110101
In base 9, what is -3 - 338167680?
-338167683
In base 7, what is 1203565312 - -6?
1203565321
In base 11, what is 2a7 + -18797?
-184a0
In base 15, what is 5 + -2a9c36d?
-2a9c368
In base 12, what is 559 + -69a?
-141
In base 13, what is 2489bb + 2c3?
248cb1
In base 16, what is 2e - 79e6?
-79b8
In base 13, what is 13 - -155228bc?
15522902
In base 13, what is 5 + -9b845a?
-9b8455
In base 6, what is -23000033 - -443?
-22555150
In base 4, what is 30 + 22103233310?
22103300000
In base 6, what is 5 + 3102455014?
3102455023
In base 10, what is 325641 + 240?
325881
In base 6, what is -12311 - 1010300?
-1023011
In base 3, what is 10212100200101 + -101?
10212100200000
In base 3, what is 2 - -1010100020212100?
1010100020212102
In base 4, what is -22331223332 - 333?
-22331230331
In base 12, what is 16 - -271332?
271348
In base 11, what is -2 + 52a02a?
52a028
In base 3, what is 101020 - -21022202?
21200222
In base 7, what is 30206335 + 1?
30206336
In base 11, what is 3 + 4484841?
4484844
In base 12, what is b72 + -195433?
-194481
In base 14, what is 3 - 1783b922?
-1783b91d
In base 8, what is -307643 + 44?
-307577
In base 11, what is -8a9681 - -34a?
-8a9332
In base 5, what is 221042 + -2?
221040
In base 3, what is -1212211000102201 + -20?
-1212211000102221
In base 14, what is -5 + -20cba23?
-20cba28
In base 2, what is 1001101000 + -101001011110111?
-101000010001111
In base 10, what is -22 - -7597271?
7597249
In base 6, what is 1 + -13532204542?
-13532204541
In base 13, what is -4 - 7076b?
-70772
In base 15, what is 14503d + 7?
145045
In base 6, what is -14305335 + -55?
-14305434
In base 7, what is 1404365 + 56?
1404454
In base 9, what is -3 + 222051242?
222051238
In base 7, what is -3256406035 + 6?
-3256406026
In base 16, what is -17e431f + -5?
-17e4324
In base 16, what is d0519a - -2?
d051


= v. Round p to the nearest 1000.
10000
Let b = 8.904 - 8.9270135. Let n = 0.023 + b. What is n rounded to 6 dps?
-0.000014
Let l = -112.0000039 - -112. Round l to 7 decimal places.
-0.0000039
Let b = -0.2445 + 0.0235. Round b to 2 dps.
-0.22
Let q = 44.94848354 + 0.05230646. Let u = q + -45. What is u rounded to 4 decimal places?
0.0008
Let m be 0/2 + 18300/3. What is m rounded to the nearest 1000?
6000
Let w = 528 - 743. Let y = -215.0097 - w. Round y to 3 decimal places.
-0.01
Let d be 0/(2 + -2 + 1). Suppose d = 4*q - 3*q - 5. Suppose 0*m - 2*z = -3*m - 54000, -q*m - 90000 = -5*z. What is m rounded to the nearest ten thousand?
-20000
Let i = -14 + 27.1. Round i to the nearest integer.
13
Suppose -4*n + 0*n - 2*w = 2399998, -n - 3*w = 599997. What is n rounded to the nearest one million?
-1000000
Let z = 0.01 - -11.39. What is z rounded to the nearest integer?
11
Let r = 11.1 - 11.48914. Let l = r - -0.39. What is l rounded to four decimal places?
0.0009
Let c = -4.1 + 4.0992. Round c to three decimal places.
-0.001
Let s(i) = 5 + 148*i + 1 - 42*i. Let d be s(6). Let z = 1042 - d. Round z to the nearest 100.
400
Let f be (1015458/4)/(2/20). Let i = f + -1438645. What is i rounded to the nearest one hundred thousand?
1100000
Let j = 65.077 - 0.077. Let i = 131 - j. Let l = i + -65.99999851. Round l to seven decimal places.
0.0000015
Let y be 2 + 3/((-9)/855006). What is y rounded to the nearest 10000?
-290000
Suppose -5*l = i - 196, 3*l - 3*i = 34 + 98. What is l rounded to the nearest one hundred?
0
Suppose -17*y + 18*y + 36100000 = 0. What is y rounded to the nearest 1000000?
-36000000
Let z be (-2 - (-12)/(-9))/((-2)/(-21600)). What is z rounded to the nearest 10000?
-40000
Let d = 0.03492 + -0.033. Round d to four dps.
0.0019
Let h = -1.176 - -1.2. Let o = 0.0198 - h. Round o to three decimal places.
-0.004
Let n = 40.63 + -72.94. Let g = n - -32. Round g to one decimal place.
-0.3
Suppose 0 = 4*z + 42 - 18. Let r be (-33 - 2)/(1/z). What is r rounded to the nearest one hundred?
200
Suppose 0 = 5*n + 7645411 - 23845411. What is n rounded to the nearest one million?
3000000
Suppose 4*i - 30476616 - 9523388 = o, -49999992 = -5*i - 2*o. What is i rounded to the nearest one million?
10000000
Let g = -54147.34 + 54985. Let l = g + -854. Let h = 16 + l. What is h rounded to one dp?
-0.3
Let l = -1.2300687 - -1.23. What is l rounded to six dps?
-0.000069
Let k = -0.05 - 6.95. Let h = k + 6.99994. What is h rounded to five decimal places?
-0.00006
Suppose 0 = f - 4*h - 11, 6*h - 2*h = -5*f + 7. Suppose -3*d + 5*d = -2*n - 10, -d = -4*n - 20. Let y be (d + 4000/f)*300. Round y to the nearest 100000.
400000
Let l = 4 + -5. Let a be 688/(3/375*l). What is a rounded to the nearest 10000?
-90000
Suppose -2*y = -3*g + 12, -5*g + 6 = 2*y - 14. Suppose -g*f + 4*t = 999996, 0*t = 2*f + 4*t + 500004. What is f rounded to the nearest one hundred thousand?
-300000
Let q = -21.4 - -3.4. Let i = q + 18.0000038. What is i rounded to 6 decimal places?
0.000004
Let q = 3531.997 - 3534. Let l = 2 + q. What is l rounded to 3 dps?
-0.003
Let u = 18 - 18.14. Let l = u + 0.13962. What is l rounded to 4 decimal places?
-0.0004
Let m = 3.6 + -3.600003. What is m rounded to six decimal places?
-0.000003
Let w = 438.84 + -516. Let q = w + -0.84. Let z = q - -78.83. Round z to 1 decimal place.
0.8
Let f = -1782.8 - -3555.791. Let p = f + -1772. Let t = p + -1. What is t rounded to 2 decimal places?
-0.01
Let n = 3.370844 + -3.0408494. Let t = -0.22 - 0.11. Let v = n + t. What is v rounded to 6 decimal places?
-0.000005
Suppose -2*c - 3*c = 10096940. Let h = c - -1369388. Round h to the nearest one hundred thousand.
-700000
Suppose 0 = -6*m - 4281377 - 12578623. Round m to the nearest 100000.
-2800000
Let d = 41 - -70. Let p = 9 - 2. Let y = p + d. Round y to the nearest 10.
120
Let k = 0.13943 + -138.47943. Let y = k + 136. Round y to 1 dp.
-2.3
Let l be 6*(-8)/60*-5. Suppose -3*h + 4*h = l*r + 499996, -5*h + 2*r = -2499998. Round h to the nearest one hundred thousand.
500000
Let z = -2709.393 - -2708. Let v = -0.2 - 1.2. Let k = v - z. Round k to 3 dps.
-0.007
Let a be 588/30 + (-4)/(-10). What is a rounded to the nearest ten?
20
Let r(m) be the third derivative of -m**5/60 - 3*m**4/8 - 2*m**3/3 + 4*m**2. Let j be r(-4). What is j rounded to 0 dps?
16
Let t(f) = 1630000*f**3 - 2*f**2 - 3*f - 1. Let o be t(-1). Round o to the nearest 100000.
-1600000
Let x = -349 - -349.0309. Round x to three decimal places.
0.031
Let t = -35515 + 35514.66698. Let u = t + 0.33. Round u to 4 decimal places.
-0.003
Suppose -42800008 = -2*p + 6*y - 2*y, 5*p = 4*y + 107000008. What is p rounded to the nearest 1000000?
21000000
Let o = -528.6952 + 522.7. Let x = -6 - o. What is x rounded to three dps?
-0.005
Let w = 721073 + -121073. Suppose -w = -4*z - 0*z. What is z rounded to the nearest one hundred thousand?
200000
Let v = 17918.53 - 17675. Let x = v + -249.5305. Let y = -6 - x. What is y rounded to four decimal places?
0.0005
Let b = 0 + -2. Let l = 4 + b. Suppose u + 1 = 0, l*m - 4*m - 5*u + 63 = 0. What is m rounded to the nearest ten?
30
Let r = -0.12 + 38.12. Let c = -37.81 + r. What is c rounded to 1 decimal place?
0.2
Let g = 25 - 32.4. Let z = -7.4000082 - g. What is z rounded to six dps?
-0.000008
Let k = 417.692 - 419. Let a = 0.122 - k. Round a to 1 decimal place.
1.4
Let v(t) = -1154222*t + 3. Let k be v(9). Let c = -1512005 + k. Round c to the nearest one million.
-12000000
Suppose 5*q - 2445 = 4*b, 3*q + 3*b = 1504 - 64. Round q to the nearest 10.
490
Let y = 64749154319 - 64749660186.349959. Let h = y - -505962.35. Let r = h - 95. What is r rounded to 5 decimal places?
0.00004
Let s = 8.7 + 7.1. Let u = 378371932 - 378371947.7999927. Let g = s + u. What is g rounded to six decimal places?
0.000007
Let w = -72 - -71.986. Round w to 2 decimal places.
-0.01
Let t be 128700020/110 + (-6)/33. What is t rounded to the nearest 100000?
1200000
Let h = -510708 + 794937. Let u = h - 484229. Round u to the nearest one hundred thousand.
-200000
Let c = -1.4 - -2.12. Let n = c - 0.822. What is n rounded to two decimal places?
-0.1
Let d be (-1)/(0 + 2/(-30092)). Suppose -4277 = -2*x + 12815. Let r = x - d. Round r to the nearest one thousand.
-7000
Suppose 0*p = -3*p - 3*v - 3597, 3*p + 3599 = -v. Round p to the nearest 100.
-1200
Let q = -38 + 82. Let f = q - -25. Let s = -68.938 + f. What is s rounded to two decimal places?
0.06
Let s = 90793845.30011 - 90862917.02. Let l = -69072 - s. Let t = 0.28 + l. Round t to four decimal places.
-0.0001
Let o = -27.895 - -28. Round o to 2 decimal places.
0.11
Let q = -154 + 153.999931. What is q rounded to 5 decimal places?
-0.00007
Let h be -2 - (-1 + (3 - 4)). Let j be h - -16*80625/3. Round j to the nearest 100000.
400000
Let w = 2 - -5. Let f = -2518.089 - -2511. Let i = w + f. What is i rounded to two decimal places?
-0.09
Let w = 11576.423 + -11569. Let x = w - 0.023. Round x to zero decimal places.
7
Let w = 22 - 25.2. Let v = 3 + w. Round v to zero decimal places.
0
Let n = 0.1 + -1.1. Let s = -0.9999998 - n. What is s rounded to 6 dps?
0
Let v(i) = 56250*i. Let y be v(-16). Round y to the nearest 1000000.
-1000000
Let b = 65.4 + -65.2994. Let u = 0.1 - b. What is u rounded to 3 decimal places?
-0.001
Let w = 269.0487 + -269. Let l = -0.06 + w. Round l to three decimal places.
-0.011
Let p = 0.5 - 0.4. Let c = 0.1 - p. Let v = c - -0.5. Round v to one decimal place.
0.5
Let j = -63.965 + -0.035. Let l = j + 62.56. What is l rounded to one dp?
-1.4
Let q(p) = -2400001*p - 3. Let k(m) = 2400001*m + 3. Let c(i) = 4*k(i) + 3*q(i). Let o be c(-3). Round o to the nearest one million.
-7000000
Let s(h) = -536669*h + 7. Let t be s(3). What is t rounded to the nearest 100000?
-1600000
Let j = -602346 - -387346. What is j rounded to the nearest 10000?
-220000
Let f be -2 + 0 - (-7)/(21/45600006). What is f rounded to the nearest 1000000?
15000000
Let x = -154 + 297. Let w = 143.0000154 - x. What is w rounded to six decimal places?
0.000015
Let n = -340826.040013 + 340801.04. Let j = 25 + n. What is j rounded to 5 decimal places?
-0.00001
Let w = -22544.14957 - -0.14957. Let c = 22545.00045 + w. Let d = -1 + c. What is d rounded to 4 dps?
0.000


10*f - 7070180*t**2 + 4 wrt f.
t**2 + 97662510
Find the second derivative of 705725*j**2*w - 8*j**2 - 5045*j*w + j - 1535*w wrt j.
1411450*w - 16
Find the third derivative of 20*u**4 + 262081*u**3 + 42*u**2 + 213*u - 32 wrt u.
480*u + 1572486
Find the second derivative of -53759711*g**4 + 110238606*g wrt g.
-645116532*g**2
What is the third derivative of -4496978*j**2*n**2*p**3 - j**2*n**2*p**2 + 74*j**2*n**2*p - 164*j**2*n**2 - j**2*p**3 - 4*j**2*p**2 wrt p?
-26981868*j**2*n**2 - 6*j**2
Find the third derivative of -195*f**3*k**2 - 3*f**3*k + 76829*f**3 - f**2*k + 2*f**2 + 18*f*k**2 + 111*f*k + k**2 + 2 wrt f.
-1170*k**2 - 18*k + 460974
What is the third derivative of -325277950*d**3*l - 17*d**2*l - 40*d**2 + d*l + 2*d + 6*l - 51 wrt d?
-1951667700*l
Differentiate 76255*g*y + g - 197*y**2 + 3676426 with respect to y.
76255*g - 394*y
What is the second derivative of q**2*s**2 - 2*q**2*s - 26722*q**2*w - 86*q*s**2*w + 2*q*s*w + 2*q*s - 3*s**2 + 57*s*w + 66*s wrt q?
2*s**2 - 4*s - 53444*w
Differentiate -313*s**3 + 662*s**2 - 7*s + 738724.
-939*s**2 + 1324*s - 7
What is the second derivative of 560984*u**2 + 5901616*u - 1 wrt u?
1121968
Find the third derivative of -50146764*r**5 - 484*r**2 - 1485*r + 2.
-3008805840*r**2
What is the second derivative of 3065211*j**3*v**2 + j**3*v + 17*j**3 + 12*j**2*v**5 - 63313*j - 2*v - 1 wrt v?
6130422*j**3 + 240*j**2*v**3
Differentiate -114280844*v**4 + 149613735 wrt v.
-457123376*v**3
Find the first derivative of 77404684*a**3*c*s + 4*a**3 - a**2*s + 17192*a**2 - a*s - s - 2 wrt c.
77404684*a**3*s
What is the third derivative of 2*h**4 - 88697086*h**3 - 233862563*h**2 wrt h?
48*h - 532182516
What is the second derivative of -39701*k*y**4 - k*y + 877*k - 2*y**2 - 75 wrt y?
-476412*k*y**2 - 4
Find the third derivative of -14813639*o**5 + 3218*o**2 + 12*o + 72.
-888818340*o**2
What is the third derivative of 88385121*k**6 + 221834128*k**2 wrt k?
10606214520*k**3
What is the second derivative of 11097191*f**2 + 14210*f + 84 wrt f?
22194382
What is the second derivative of 3*b**4 + 4770541*b**3 - 413358*b - 10?
36*b**2 + 28623246*b
What is the second derivative of -5*s*u**3 + 19914*s*u - 90*s + 69309*u**5 wrt u?
-30*s*u + 1386180*u**3
What is the derivative of 31876*n**3*w - 47*n**3 - 4*n**2*w - 876*n + 194*w - 7 wrt w?
31876*n**3 - 4*n**2 + 194
What is the derivative of -15628102*g*j**2 + 194*j**2 - 66*j + 186 wrt g?
-15628102*j**2
What is the derivative of -34508292*p + 14844665?
-34508292
Differentiate 1350*q**2 - 835*q + 7323012.
2700*q - 835
What is the second derivative of -4376458*o**5*q**3 + 2*o**3 + 5*o*q**3 + 7*o*q**2 + o - 111718 wrt o?
-87529160*o**3*q**3 + 12*o
Differentiate 535609*h**2 - 7460635 wrt h.
1071218*h
Find the first derivative of u**4 + 1144*u**3 + 282*u**2 - 5566064 wrt u.
4*u**3 + 3432*u**2 + 564*u
Find the third derivative of -6760414*a**2*j**3*l**2 - 2*a**2*j**2 - 426*a**2*j*l**2 - 25*a**2*j - a*j*l**2 - 79*j**2*l wrt j.
-40562484*a**2*l**2
What is the second derivative of -411011849*j**2*x - 3666*j*x + 42490 wrt j?
-822023698*x
Find the third derivative of -16706528*v**3 - 448*v**2 - 108*v + 11 wrt v.
-100239168
What is the third derivative of -30808218*p**3 - 60567527*p**2 wrt p?
-184849308
Find the first derivative of -100942*v**2 - 846*v + 161903249.
-201884*v - 846
What is the third derivative of -2*c**4*h - 4441*c**4 - 6131*c**3*h - 2836507*c**2 + h + 10 wrt c?
-48*c*h - 106584*c - 36786*h
Find the third derivative of -915*b**3*z**3 - 1031588*b**3 + 6*b*z - 2*b + 162432*z**5 + z**2 wrt z.
-5490*b**3 + 9745920*z**2
Find the first derivative of 280255752*j + 357658865 wrt j.
280255752
Find the second derivative of -c**2*n**3 + 49157*c**2*u**2 - 72*c*n**3*u**2 + 2*c*n**3 - 35902*n**3*u**2 wrt c.
-2*n**3 + 98314*u**2
Differentiate -2*n**2 + 3368022*n - 124434444 with respect to n.
-4*n + 3368022
What is the first derivative of 5356379*h**2*x + 97272866*h**2 + h*x wrt x?
5356379*h**2 + h
Find the second derivative of 49652128*m**3 + 81057417*m wrt m.
297912768*m
Differentiate 8290841*w*z**2 - 122*z**2 - 74660*z with respect to w.
8290841*z**2
Find the second derivative of 100*a**3*d**2 - 3100732*a**2*d**3 + 2*a*d**3 - 317586732*a*d wrt a.
600*a*d**2 - 6201464*d**3
What is the third derivative of -317791*x**3*y**3 + 2*x**3*y**2 - 3*x**3 - 872*x**2*y**3 - 9*x**2*y**2 - 16764 wrt y?
-1906746*x**3 - 5232*x**2
Find the third derivative of -4967752*t**4 + 7828304*t**2 wrt t.
-119226048*t
What is the third derivative of -416028*d**3*g**3*j + 5*d**3*j + 1433*d**2*g*j - 4*d**2 - 57*g**3*j wrt d?
-2496168*g**3*j + 30*j
Find the third derivative of 9519*b**4*t**2 - 220*b**3*t**2 + 2*b**2*t**2 + 8349*b**2 - 115*t**2 wrt b.
228456*b*t**2 - 1320*t**2
What is the second derivative of 49*l**2*v**3 - 6692*l**2*v + 8*l**2 - 11205*l*v**4 + 2*l*v - 4*l - 3 wrt v?
294*l**2*v - 134460*l*v**2
Find the third derivative of -54531*h**2*k**2*v**2 + 2*h**2*k*v**2 + 1817*h**2*v**3 - 187*h*k**2*v**2 + 55151*k**2*v**3 + 7*k*v wrt v.
10902*h**2 + 330906*k**2
Find the second derivative of -30209765*t**2*w**4 + 17797976*t**2 + w wrt w.
-362517180*t**2*w**2
What is the second derivative of -2490218*i**4 - 127*i**2 - 2*i - 287405895 wrt i?
-29882616*i**2 - 254
Find the first derivative of -218*h*i**2 - 3*h*i - 24836036*h + i**2 - 754*i wrt i.
-436*h*i - 3*h + 2*i - 754
Find the second derivative of -b**2*q*y**2 + 2*b**2*q*y - 176*b**2*y - 3*b - 4015267*q*y**2 + 409*q*y wrt y.
-2*b**2*q - 8030534*q
Find the third derivative of -3918*n*o**3 + 2*n*o + 11*n - 149*o**4 - 8*o**3 + 75837*o**2 - 3 wrt o.
-23508*n - 3576*o - 48
Find the third derivative of -6451109*h**3 + 420588*h**2 - 16 wrt h.
-38706654
What is the second derivative of 247998501*k**2 - 972652236*k wrt k?
495997002
Find the second derivative of -22274430*o**3 + 3440099*o - 1 wrt o.
-133646580*o
What is the first derivative of -9*a*h + 210*a + 95374*h**3 + 14253 wrt h?
-9*a + 286122*h**2
What is the second derivative of -3*i**5*o**2 - 744631*i**2*o**2 + 62*i*o**2 + 10*i*o + 3*i + 3*o**2 - 3*o wrt i?
-60*i**3*o**2 - 1489262*o**2
What is the third derivative of -2356183*o**3 + 3*o**2 + 838308?
-14137098
What is the second derivative of 4*k**2*m**2 - k**2*m - 23889013*k**2 + 2*k*m**2 + 1538243*k*m - 11*m**2 wrt k?
8*m**2 - 2*m - 47778026
What is the second derivative of 1090481*c**5 - 4*c**3 + c - 4179737?
21809620*c**3 - 24*c
Find the second derivative of -2055648*g**5 + 6*g - 1096588.
-41112960*g**3
What is the first derivative of -8030821*b + 339069 wrt b?
-8030821
Find the third derivative of 3*n**4 - 58034*n**3 - 49697445*n**2.
72*n - 348204
What is the second derivative of 3634373*d**2*f*l**2 + 3*d**2*f + d**2 - 128*d*f**2 - 3*d*l + 77*f**2*l**2 - 84*f**2*l - 6*l + 2 wrt l?
7268746*d**2*f + 154*f**2
Find the second derivative of -159150*a**2*c - a**2 + a*c + 16501033*c wrt a.
-318300*c - 2
Find the second derivative of -304019*a**2*q**2 - 12671*a**2*q - 9*a*q**2 + 530*q wrt q.
-608038*a**2 - 18*a
What is the derivative of -17935811*g**2 - 6647068?
-35871622*g
Differentiate -3*n**3 - 530*n**2 - 10598*n - 59588553 wrt n.
-9*n**2 - 1060*n - 10598
What is the first derivative of -21223*j**3*l**3 - 611*j**3*l + 7030*j**3 + 29*j**2 + 2*j + 1 wrt l?
-63669*j**3*l**2 - 611*j**3
What is the second derivative of -57*d**5 + 72807*d**4 + 603599474*d wrt d?
-1140*d**3 + 873684*d**2
What is the third derivative of 29640*y**4 + 4032*y**3 - 1391069422*y**2?
711360*y + 24192
Find the second derivative of 1821689*g**3 + 460*g + 8702 wrt g.
10930134*g
Find the second derivative of 11527043*b*g**2 + 863*b - g**2 - 22374*g wrt g.
23054086*b - 2
What is the derivative of -x**4 + 58076690*x - 200948704?
-4*x**3 + 58076690
What is the second derivative of -41*y**4 - 60890*y**3 + 9*y - 21289?
-492*y**2 - 365340*y
Find the second derivative of 3836558*k**3 + k**2 - 956*k - 8271.
23019348*k + 2
What is the third derivative of 52300651*r**5 + 25805700*r**2 wrt r?
3138039060*r**2
Find the third derivative of 25024281*k**3 + 17715*k**2 - 149.
150145686
Find the third derivative of -36*b*d**3 - b*d**2*q + 2*b*d*q + 1250*b*d + 238333*d**3*q**2 - 2*d**2*q**2 - 4*d**2*q wrt d.
-216*b + 1429998*q**2
What is the derivative of 93438798*m*z**2 + 26263599*m wrt z?
186877596*m*z
Differentiate


g n is positive.
n**(-9)
Simplify (((t/t**(-14/5))/(t/(t/((t/(t/(t/(((t*t**(4/9))/t)/t))))/t*t))))**(-26))**(4/45) assuming t is positive.
t**(-10504/2025)
Simplify q*(q/(q**(1/6)*q))/q*q*q*q/(q*q**(-3/4))*(q**(-3/7))**45 assuming q is positive.
q**(-1403/84)
Simplify k**(2/13)/(((k/k**2)/k)/k)*(k/(k**(-1/3)/k))**(-6) assuming k is positive.
k**(-141/13)
Simplify (((i/i**5*i)/i)/i)/(i*i**(10/9))*(i*i/i**0)**(-14) assuming i is positive.
i**(-316/9)
Simplify (s/s**2)**33/(s*s**(-2/13)/s*s/s**7) assuming s is positive.
s**(-349/13)
Simplify q**(2/21)*q*q*(q*(q**(1/20)/q)/q)/q*((q*q**16)/q)/(((q*q*q/(q/(q*q**9/q)))/q)/q) assuming q is positive.
q**(3001/420)
Simplify (c*c*c*c*c/c**(-2/17)*c*c/(c/(c*c**13)))**2 assuming c is positive.
c**(684/17)
Simplify h**2*h**(-6)/h*h**15*h**8 assuming h is positive.
h**18
Simplify (m**(3/4)*m/(m/(m/m**10))*(m/(m*m/m**(-3/5)))**(-8/15))**(-10/11) assuming m is positive.
m**(2219/330)
Simplify ((x*x**(4/7))/(x**9*x))/(x**(-2/11))**23 assuming x is positive.
x**(-327/77)
Simplify ((n*n**(-4/11))/(n**(-5/3)*n*n))/(n**8/n**6) assuming n is positive.
n**(-56/33)
Simplify (l/((l/((l/(l/l**(1/2)))/l))/l))/l*l*l**(-2/31)*((l**(2/3)/l)/l)**14 assuming l is positive.
l**(-3391/186)
Simplify ((u**(-2/9)/u)/(u**(2/23)/u*u))/(u/(u**(-17)/u)*u/u**5) assuming u is positive.
u**(-3376/207)
Simplify j*j/j**(-24)*j**(-23)*(j**(1/25))**24 assuming j is positive.
j**(99/25)
Simplify (i**2/(i/i**23))**(-2/9) assuming i is positive.
i**(-16/3)
Simplify (b*b**24*b*(b*b**(-17/2)/b*b*b)/b*b)**13 assuming b is positive.
b**(507/2)
Simplify (i**(1/3)/i)**(-4/31)*((i*i*i**(4/7)/i)/i)**(-35) assuming i is positive.
i**(-1852/93)
Simplify (c**(3/2)/c)**(-8)*(c*c*c/(c**(-2/23)*c))**(-1/18) assuming c is positive.
c**(-284/69)
Simplify (d*d*d*(d**(5/6)/d)/d*d*d*d/(d**(-12/11)/d))/((d*d*d/(d**(2/5)/d*d)*d)/d*d**(-5)/d) assuming d is positive.
d**(3407/330)
Simplify (p*p/p**(9/4))/(p*p/p**(-8))*p**(-11)*p/((p/(p/(p/(p*p**(-5/8)))*p))/p) assuming p is positive.
p**(-151/8)
Simplify ((v**(-1/8)*v)/(v/v**(-1/5))*(v*v**(1/5))**(1/18))**(10/3) assuming v is positive.
v**(-31/36)
Simplify (x**(-23)/(x/((x*x/x**(-17)*x)/x)*x))/(x/x**(-7)*x**(1/10)) assuming x is positive.
x**(-141/10)
Simplify ((f**(1/33)*f)/f*(f/f**(-34))/f)/(f**(2/11)/((f**(9/11)*f)/f*f)) assuming f is positive.
f**(107/3)
Simplify ((m/(m*m/(m**1/m)))**(41/2)/(m/(m*m**(-1/4)/m*m)*(m/((m*m*m**(8/7))/m))/m))**(-1/60) assuming m is positive.
m**(521/1680)
Simplify r/(r*r**(1/4))*r*r**(3/5)*((r*r/((r*r*r**(-2/3))/r)*r)/r)/r**(-4) assuming r is positive.
r**(421/60)
Simplify (z*(((z/(z*z/z**(-13)))/z*z)/z)/z*z**(-9))/(z**10*z**20) assuming z is positive.
z**(-54)
Simplify ((y*y/(y/y**(-1))*y)**(-4/7)*y**(-3)*y/y**(-1/7))**(-21) assuming y is positive.
y**51
Simplify ((((n/n**(-18))/n)/n)/(n/(n/(n**7/n))))/(n**18)**(-33) assuming n is positive.
n**605
Simplify (((n/((n**(-7)/n)/n)*n)/(n/(n/(n/((((n*n/((n/(((n**(-9)/n)/n)/n)*n)/n)*n)/n)/n*n)/n)))))**(39/2))**(-4/3) assuming n is positive.
n**52
Simplify (t**(-22))**(-44)*(t*t**(5/4)/t*t*t)/((t/t**(-15/2))/t) assuming t is positive.
t**(3855/4)
Simplify (a*a**(3/31))/a**(-28)*(a**(-18))**(-28) assuming a is positive.
a**(16526/31)
Simplify ((n**10/n)/n**(-9))/(((n**11*n*n)/n*n*n*n)/n**(-9)) assuming n is positive.
n**(-6)
Simplify c/(c**(-1/15)/c*c)*c/((c/c**(-2/7))/c)*c*(c*(c*c*c**(2/37)*c)/c*c)/(c*c/(c/(c*c**(-1/7)))) assuming c is positive.
c**(19339/3885)
Simplify (((x**(-4))**(-4))**(6/23))**(15/2) assuming x is positive.
x**(720/23)
Simplify (w**1/(w/(w**(-3/5)*w)))/(w**(-5)/(w/w**7*w)) assuming w is positive.
w**(2/5)
Simplify (m**(-9))**(-4/29)/(m/m**19*m*m*m**(-2/103)) assuming m is positive.
m**(51558/2987)
Simplify (q**(3/4))**(-39/7)/(q**13*q/(q/(q/(q**(-21)*q)))) assuming q is positive.
q**(-1069/28)
Simplify (y**1)**(-8/11)/(((y*y/(y/(y/(y*y**(-3)/y))))/y)/(y**12/y)) assuming y is positive.
y**(69/11)
Simplify b**(-4)/(((b/(b**37/b))/b)/b)*(b*b**(-11))/b*b/(b/(b*b*b**(-32)*b))*b assuming b is positive.
b**(-6)
Simplify (h**30*(h*(h*h**18)/h)/h)/(h**(-19)*(h/(h*h*h**6))/h) assuming h is positive.
h**75
Simplify (j*j*(j/(j**(-3/7)*j*j))/j*j*j/j**(2/7))/(j**(-11/3))**(-19/2) assuming j is positive.
j**(-1373/42)
Simplify (x**5/x**(3/2))/(x**(1/2)/(x/(x/x**14))) assuming x is positive.
x**17
Simplify ((s/s**(4/15))/(s**(7/2)*s))/(s**22/s**(-21)) assuming s is positive.
s**(-1403/30)
Simplify ((l/((l*l**(-1/29)/l*l)/l))/l)/((l/l**(-15/7))/l)*l/((l/l**22)/l)*l**14 assuming l is positive.
l**(7083/203)
Simplify w**(-13)*w*w/(w**(8/9)*w)*w/w**(-1/18)*w**16/w assuming w is positive.
w**(19/6)
Simplify o**(1/2)*o*o*(o/(o*o*o/((o/o**(-15/7))/o)))/o*o**3/o**(3/5) assuming o is positive.
o**(283/70)
Simplify (r**(-2/9)*r)/(r*(((r*r*r**(-6))/r*r)/r)/r)*r**(4/9)*r**0 assuming r is positive.
r**(56/9)
Simplify (h**(1/9)/(h**(-17)*h))**(-35) assuming h is positive.
h**(-5075/9)
Simplify ((w**(3/7)*w*w*w**5)/((w*w**7)/w**(-8)))**(-42) assuming w is positive.
w**360
Simplify (d**10/d)/d**(1/14)*d**(2/57)/d**(-15) assuming d is positive.
d**(19123/798)
Simplify (j/(j*j**(-2)))**(-9)/(j*((j/(j**(-3)/j))/j*j*j)/j)**(-50) assuming j is positive.
j**282
Simplify ((q**(-8/7)*q)/q**(-2/17))/(((q**(2/7)/q)/q)/q**15) assuming q is positive.
q**(1986/119)
Simplify (((v/v**2*v)/v**(-1/3))/(v/(v/v**(2/3))*v**0/v))**24 assuming v is positive.
v**16
Simplify x**(-11/3)/x*x*x**(5/3)*(x*((x/((x/(x*x**7*x))/x))/x*x*x*x)/x)/((x/(x/x**(1/8)))/x*x) assuming x is positive.
x**(79/8)
Simplify (b*b/(b*b**(-4/19)*b))**(-41)/(((b/b**(19/4)*b)/b)/b*b/(b/b**0)*b*b) assuming b is positive.
b**(-447/76)
Simplify ((j*j*j*j**3/j*j*j)/j)**21*(j*j/(j/(j*((j**5/j*j)/j)/j*j*j)))**(-3/2) assuming j is positive.
j**(231/2)
Simplify (n**7*n*n*n**(6/5)/n)/(n**(-6/5)/n**(-1)) assuming n is positive.
n**(47/5)
Simplify w**(-7/5)/(w**(-27)*w)*(w*w/(w/w**(-3))*w)**(-1/13) assuming w is positive.
w**(1604/65)
Simplify ((z*z**1)**(3/19)/(z**(-1/4))**(-34))**(-1/3) assuming z is positive.
z**(311/114)
Simplify (u**(-1/8)/u**15)/(u**(-6/5)/(((u/u**7)/u)/u)) assuming u is positive.
u**(-877/40)
Simplify (r/(r*r**0))**9/(r**21/(r*r*r*r*r**(-9)/r*r)) assuming r is positive.
r**(-26)
Simplify (((y**(-1/2))**(-48))**(7/5))**(-30) assuming y is positive.
y**(-1008)
Simplify (s**10*((s*(s*s**(2/27))/s)/s)/s)/(s/s**6*s**16) assuming s is positive.
s**(-52/27)
Simplify (x**(-1/27)*x**(-8))/(x/x**(-13)*x/(x*((x/x**8)/x)/x)) assuming x is positive.
x**(-838/27)
Simplify (j**(1/5))**(5/7)/(j*j*(j*j/j**8*j)/j*j/(j**(8/3)*j)) assuming j is positive.
j**(143/21)
Simplify (a/((a**20*a)/a))**(-9)/(a/a**5)**(-19) assuming a is positive.
a**95
Simplify ((p*p**10)/(p*p**(-1/14))*p**11*(p*p/(p/(p/p**5)*p))/p)**34 assuming p is positive.
p**(3825/7)
Simplify (f**(-3)*(((f*(f**(1/3)*f)/f*f)/f)/f)/f)/(f**(1/5))**27 assuming f is positive.
f**(-136/15)
Simplify ((f/f**(-5))/f*f*f**(-15/7))/(f**(-2/3)/f)**(-9) assuming f is positive.
f**(-78/7)
Simplify ((t**(-3/16))**(-1/50))**39 assuming t is positive.
t**(117/800)
Simplify (v*v**(-7)*v)/v**(-1/10)*(v**23/v)/(v/v**(-5)) assuming v is positive.
v**(111/10)
Simplify ((f**(-3/8)/(f*f/(f*f**(1/5)*f)))/((f*f/f**(-6/7)*f)/f**(-1/6)))**35 assuming f is positive.
f**(-3527/24)
Simplify ((((z/(z**1*z))/z)/z)**(1/3)*z**(1/4)/z**9)**(16/7) assuming z is positive.
z**(-156/7)
Simplify (((p/p**1)/p*p/(p**8*p)*p)/(p**(2/5)*p/((p/(p*(p/((p**(-7)/p)/p))/p))/p)))**(-16/3) assuming p is positive.
p**(1552/15)
Simplify (r**(-7))**41/(r**21/(r*r**(1/2))) assuming r is positive.
r**(-613/2)
Simplify (((g/(g/(g/(g**(-5)/g))))/g)/g**(12/5))/(g**(-10)/g**(-20)) assuming g is positive.
g**(-32/5)
Simplify o*o**(8/3)*o*o*o**5*o*((o*(o*o/o**(-4/3)*o*o)/o)/o)**(6/7) assuming o is positive.
o**(323/21)
Simplify (u**(4/13)/(u/(u/u**(12/7))*u))/((u*(u**(5/3)/u)/u)/((u*u*u*u**(-1/8))/u)) assuming u is positive.
u**(-2617/2184)
Simplify i*i**(-2/23)*i*i**(1/5)*(i/((((i/(i**(3/5)*i))/i)/i)/i*i))/i**0 assuming i is positive.
i**(657/115)
Simplify (v/(v/(v**(-6)*v)))**45/(v**(1/18)*v*v*v*v)**(11/4) assuming v is positive.
v**(-17003/72)
Simplify (w**23/w)**(-4/15)*w**(7/5)/(w**(-1)/w) assuming w is positive.
w**(-37/15)
Simplify (l**13*l**(1/19))/((l*l*l*l*l**(2/69)*l*l)/(l**(-1)*l)) assuming l


187. Let g be f(-12). Let t(j) = 19*j - 4. Give g*d(h) - 5*t(h).
-4*h - 1
Let t(h) = -16*h**2 + 15*h - 16. Let x(k) = -3*k**2 + 3*k - 3. Determine -4*t(n) + 22*x(n).
-2*n**2 + 6*n - 2
Let l(z) = -2*z**3 - 3*z**2 + 1. Let x(w) = -w**2 + 1. Let n be (-12)/102 - (-19)/17. What is n*l(h) - 4*x(h)?
-2*h**3 + h**2 - 3
Let x(p) = -6*p**2 - p - 4. Let i(m) = -24*m**2 - 6*m - 18. Let j(k) = -2*i(k) + 9*x(k). Let t(s) = -13*s**2 + 6*s. Determine 9*j(b) - 4*t(b).
-2*b**2 + 3*b
Let k(l) = -17*l**2 + 148*l + 3. Let q(a) = 8*a**2 - 76*a - 1. Calculate 6*k(d) + 13*q(d).
2*d**2 - 100*d + 5
Let u(c) = -7*c**3 - 4*c**2 + 2*c + 11. Suppose -19*q + 35*q - 176 = 0. Let r(z) = -4*z**3 - 2*z**2 + z + 6. Give q*r(g) - 6*u(g).
-2*g**3 + 2*g**2 - g
Let f(s) = 3*s + 4. Let t(g) be the second derivative of g**3/6 + g**2/2 + 21*g + 2. Let k = -10 + 7. Calculate k*f(n) + 12*t(n).
3*n
Let m(h) = 17*h - 13. Let o(i) = 6*i - 5. What is 3*m(r) - 8*o(r)?
3*r + 1
Suppose 1 = -f - 3*j, 5*j - 9 = 5*f - 4*f. Let n(s) = -2*s + 3. Let h(t) = 2*t + 6940 + 2*t - t - 6944. Calculate f*n(r) - 3*h(r).
-r
Let u(x) = -2*x**2 + 4*x + 15. Let r(i) = 2*i**2 - 3*i - 16. Calculate -3*r(t) - 2*u(t).
-2*t**2 + t + 18
Suppose -21 = 2*u + 3*j, 0 = -3*u - j - 13 - 1. Let c(g) = g**3 + 2*g. Let n(m) = m**3 + m**2 + 3*m - 1. Calculate u*c(p) + 2*n(p).
-p**3 + 2*p**2 - 2
Let l(s) = -s**3 + 3*s**2 + s + 5. Let j be l(3). Let m(b) = -6 + j - 3*b + 2*b**3 - 3. Let t(v) = -8*v**3 + 13*v + 4. Let r = -5 - -3. What is r*t(p) - 9*m(p)?
-2*p**3 + p + 1
Let x(c) = -7*c**2 + c - 2. Let s(r) = 1 - 20*r**2 - 5*r**2 - r + 33*r**2 - 2*r**2. Calculate -5*s(j) - 4*x(j).
-2*j**2 + j + 3
Let q(v) = 9*v**3 - 7*v + 4. Let d be 2 - (-1)/(0 - -1). Let o be (-3)/d + 1 + 3. Let c(r) = 7*r**3 - 3*r + 2 - 3*r**3 + 0*r**3. Calculate o*q(b) - 7*c(b).
-b**3 - 2
Let d(u) = u**2 + 5*u + 8. Let y(w) = -w**2 + 7*w - 6. Let b be y(7). Let p(k) = -k**2 - k - 1. What is b*p(m) - d(m)?
5*m**2 + m - 2
Let m(b) be the first derivative of 7*b**2/2 + 6*b - 434. Let k(x) = 7*x + 7. Determine 5*k(a) - 6*m(a).
-7*a - 1
Let r(y) = -5*y**2 - 6*y + 7. Let a(b) = 5*b**2 + 7*b - 8. Suppose -7*k - 22 = -9*k - 4*h, -h + 2 = 0. Determine k*r(l) + 6*a(l).
-5*l**2 + 1
Let n(u) = -u**3 + u**2 + 1. Let l(h) = -1. Let g be 8 + -9 + 6 + -4. Calculate g*l(r) + n(r).
-r**3 + r**2
Let x(i) = 7*i. Let w(j) = 458*j. Let a(t) = 305*t. Let p(b) = -7*a(b) + 5*w(b). Determine 2*p(q) - 45*x(q).
-5*q
Suppose 135 - 75 = 10*r. Let j(o) = 15*o**3 - 11. Let n(l) = -3*l**3 + 2. Determine r*j(f) + 33*n(f).
-9*f**3
Let l(t) = -3*t**3 - 2. Let g(b) be the second derivative of -3*b**5/10 - 5*b**2/2 - 3*b. Let h be -3*2/(-12)*4. Let m = -43 + 38. Give h*g(w) + m*l(w).
3*w**3
Let y(u) = -17*u**2 - 29*u - 17. Let r(h) = -18*h**2 - 23*h - 16. Determine 5*r(l) - 4*y(l).
-22*l**2 + l - 12
Let c(x) = -5*x**2 - 2*x - 5. Suppose -282*u + 24 = -285*u. Let w(i) = -18*i**2 - 14 + 4*i**2 - i - 5*i. What is u*c(t) + 3*w(t)?
-2*t**2 - 2*t - 2
Let h(u) = -10*u. Let o(c) = 8*c - 5. Let d(b) = 3*b - 2. Let a(g) = -5*d(g) + 2*o(g). Calculate -6*a(k) - 2*h(k).
14*k
Let x(l) = -7*l**3 + 5*l**2 + 5*l + 2. Let s be 12/(-18) + 70/6. Let a = -16 + s. Let b(f) = 10*f**3 - 7*f**2 - 7*f - 3. Calculate a*b(o) - 7*x(o).
-o**3 + 1
Let i(u) = 33 - 111 + 15*u + 25 + 25 + 30. Let w(d) = -22*d - 3. Determine 7*i(f) + 5*w(f).
-5*f - 1
Let l(t) = 10*t + 60. Let g(f) = 1. Let d be 2*((-40)/(-16) + -3). Determine d*l(c) + 60*g(c).
-10*c
Let q(m) = -m + 1. Let t(v) be the third derivative of v**4/24 + v**3/6 - 11*v**2 - 2*v. What is q(p) + 2*t(p)?
p + 3
Let t(h) = -h**2 - 1. Let b(i) = -2*i**3 - 8*i**2 - i - 6. Let k = 43 + -44. Let f be (0/1)/((-2)/2). Let x be (-1)/1 + (f - -7). Calculate k*b(v) + x*t(v).
2*v**3 + 2*v**2 + v
Let n(i) = i + 1. Let g(h) = 0*h + 3*h + 3*h + 3*h + 2 + 9. Calculate 2*g(s) - 22*n(s).
-4*s
Let w(p) = 3*p - 4*p + 3 + 6*p**2 - 2*p**2 - 9*p**2 - 1. Let u(z) = 10*z**2 + 3*z - 5. Give -2*u(l) - 5*w(l).
5*l**2 - l
Let w(r) = -r - 1. Let g(f) = 54*f + 4. Calculate -g(h) - 2*w(h).
-52*h - 2
Let n(j) = -8*j**2 + 10*j - 1. Let b(l) = -6*l**2 + 9*l - 4. Determine 5*b(z) - 4*n(z).
2*z**2 + 5*z - 16
Let r(l) = -3*l - 2. Let u(g) = 5*g + 5. Let m = 2214 - 2216. Determine m*u(c) - 5*r(c).
5*c
Let i(q) = -14*q**3 - 9*q**2 + 2*q + 6. Let f(t) = 15*t**3 + 11*t**2 - 2*t - 7. What is 6*f(n) + 7*i(n)?
-8*n**3 + 3*n**2 + 2*n
Suppose 5*u = 20, 0 = -4*d + 2*u + 3*u - 4. Let z(a) = -2*a**2 + 4. Let o(f) = -8*f - 1. Let v be o(-1). Let b(i) = 3*i**2 - 7. Determine d*b(c) + v*z(c).
-2*c**2
Let t(i) = i**3 + i**2 - i - 1. Let z(d) = 9*d + 53. Let c be z(-6). Let p(h) = 4*h**2 - 1. Give c*t(k) + p(k).
-k**3 + 3*k**2 + k
Let m(p) = p**3 - p**2 + p + 1. Let a(l) be the second derivative of -21*l**5/20 + 2*l**4 - 4*l**3 - 12*l**2 - 388*l + 1. Give -5*a(o) - 120*m(o).
-15*o**3
Let p(o) = -40*o + 70. Let n(t) = t - 2. Determine -105*n(b) - 3*p(b).
15*b
Let f(d) = -10*d - 12. Let s(j) be the second derivative of j**3/6 + j**2/2 - 2*j. Let l be -3*10/(-3) + 2. Let m = 323 + -322. Calculate l*s(w) + m*f(w).
2*w
Let q(m) = 8*m**2 - 119. Let l(h) = -3*h**2 + 40. Give -17*l(j) - 6*q(j).
3*j**2 + 34
Let a(v) be the third derivative of 0*v - 18*v**2 + 1/24*v**4 + 0 + 1/6*v**3. Let p(b) = -3*b - 7. Determine 5*a(h) + p(h).
2*h - 2
Let y(p) = p. Let b(n) = -104*n**2 - n + 2. Give b(u) + y(u).
-104*u**2 + 2
Let a(i) = i**2 - 4*i - 10. Let t(v) = -v**2 + 6*v + 9. Determine 6*a(f) + 4*t(f).
2*f**2 - 24
Let b(n) = -94165*n + 2035. Let t(q) = 185*q - 4. Determine 4*b(i) + 2035*t(i).
-185*i
Let h(j) = -3*j + 116. Let g be h(41). Let s(w) = -2*w - 5. Let y(p) = -2*p - 6. Give g*s(x) + 6*y(x).
2*x - 1
Let v(j) = -j**3 + j**2 + j. Let m(s) = 6*s**3 - 4*s**2 - 2*s. Let r be 24/(-20)*(-1)/(-6)*20. What is r*v(y) - m(y)?
-2*y**3 - 2*y
Let l(t) = t**3 - 3*t**2 - t. Let s(n) = -191*n**3 - 20*n**2 - 6*n + 1. Give 6*l(a) - s(a).
197*a**3 + 2*a**2 - 1
Let b(z) = -z + 7. Let d(n) = -n**2 + 18*n - 3. Let j be d(18). Let f(g) = -3*g + 9. Let o be f(j). Let s(y) = 1. Give o*s(c) - 2*b(c).
2*c + 4
Let m(b) = 29*b + 5. Let o(f) = -f - 2. What is -m(u) - 6*o(u)?
-23*u + 7
Let t(r) = r**2 + 1. Suppose -2*h + 6 = -4*h. Let k(q) = -2 - 16*q**2 + q + 4*q**2 + 6*q**2. Give h*t(f) - k(f).
3*f**2 - f - 1
Let p = -13 + -25. Let k = 39 + p. Let s(y) = 1. Let t(x) = -x + 2. Calculate k*t(r) - 5*s(r).
-r - 3
Let f(s) = 24*s**3 + 11*s**2 - 59*s - 22. Let r(l) = 6*l**3 + 3*l**2 - 15*l - 6. Calculate 6*f(i) - 22*r(i).
12*i**3 - 24*i
Let g(n) = 6*n**3 + n**2 + 10*n + 4. Let z(q) = 5*q**3 + q**2 + 8*q + 3. Let l(j) = 4*g(j) - 5*z(j). Let a(r) = 2*r**3 - r + 1. What is -a(d) + l(d)?
-3*d**3 - d**2 + d
Let s(w) = -w - 1. Let x(z) = -z**2 + 17*z - 4. Give 5*s(f) - x(f).
f**2 - 22*f - 1
Let m(x) = 21*x**2 + 14*x - 11. Let p(q) be the second derivative of 7*q**4/12 + 5*q**3/6 - 2*q**2 - 27*q - 3. What is 4*m(k) - 11*p(k)?
7*k**2 + k
Let n(w) = 15*w - 14. Let j(h) = -5*h + 5. Calculate -17*j(a) - 6*n(a).
-5*a - 1
Let n(b) = -19*b**3 - 2*b**2 - 3*b - 10. Let m(x) = -28*x**3 - 3*x**2 - 4*x - 14. Calculate -5*m(d) + 7*n(d).
7*d**3 + d**2 - d
Let w(u) = 4*u**3 - 6*u**2 - 17*u - 6. Let r(a) = -12*a**3 + 17*a**2 + 49*a + 17. Determine -6*r(k) - 17*w(k).
4*k**3 - 5*k
Let j(f) = 2*f + 10. Let o(y) = -17*y + 1. Let t(r) = -20*r + 1. Let g(w) = 7*o(w) - 6*t(w). Calculate 10*g(d) - j(d).
8*d
Suppose z + 7 = -2*d, 3*z = 4*d + 21 + 8. Let i(l) = 3*l - 5. Let x(w) = -w. Let v(g) = i(g) + 6*x(g). Let n(q) = -2*q - 3. Give d*v(c) + 8*n(c).
-c + 1
Let z(m) = m**3 + 2*m**2 + 2*m - 4. Let u(l) = 3*l**3 + 4*l**2 + 5*l - 9. Let x(y) = -2*y**2 + y - 1. Let o be x(7). Let n = o - -94. Calculate n*u(d) - 5*z(d).
d**3 - 2*d**2 + 2
Let h(y) be the first derivative of 4*y**2 - 7*y + 601. Let l(u) = 7*u - 6. Give 6*h(w) - 7*l(w).
-w
Let o(s) = 60*s**3 - 3*s**2 - s. Let v(j) = 59*j**3 - 4*j**2 - 2*j. Determine 4*o(i) - 3*v(i).
63*i**3 + 2*i
Let m(j) = -6*j**2 + 5*j + 4. Let t(p) be the second derivative of -2/3*p**3 - 6*p - 3/2*p**2 + 5/12*p**4 + 0. Give 3*m(c) + 4*t(c).
2*c**2 - c
Let x(p) = 3*p**2 - 3*p - 9. Let q(z) = -2*z**2 + 2*z + 5. Let g = 90 - 85. Suppose -4*c = -2*o + 23 + 9, -g*o + 17 = -c. Calculate c*q(k) - 4*x(k).
2*k**2 - 2*k + 1
Let x(a) = 2*a - 1. Let b(c) = -2*c + 59. Calculate -b(l)


 the units digit of d?
5
Let h = -340 + 317. Let z(j) = -j + 5. Let m be z(6). What is the tens digit of (-13 - -11) + (m - h)?
2
Let d = -43503 - -133176. What is the hundreds digit of d?
6
What is the hundreds digit of 10*((-40)/450*-9 - 90354/(-20))?
1
Suppose -2*c = 2*f - 1324 - 288, 2430 = 3*c + f. What is the tens digit of c?
1
Suppose 2*u - 50 = -m + 8, 232 = 4*m - 5*u. Let s = m - 55. Suppose -s*c + 72 = -0*c. What is the units digit of c?
4
Suppose 19*s = -87154 + 291784. What is the thousands digit of s?
0
Let s(b) = -155*b**3 + b**2 + 106*b + 522. What is the units digit of s(-5)?
2
Suppose -19579 = -13*c + 7006. Suppose -6*v + 205 + c = 0. What is the tens digit of v?
7
Let a(g) = -43*g - 382. Let y be a(-9). Suppose -y*n - 9*m = -7*m - 76, 5*n - 70 = -5*m. What is the tens digit of n?
1
Let h be 98*-8*(-5)/80. Suppose 12*s - h*s = -41958. What is the tens digit of s?
3
Suppose -77 = -7*t - 63. What is the tens digit of ((-3450)/(t - 0))/(-1)?
2
Suppose -3*l + 8*l - 70 = 0. Suppose 5*w - 207*h + 205*h - 3947 = 0, 5*w + 4*h = 3971. Suppose l*o - 1995 = -w. What is the units digit of o?
6
Let i(h) = 117*h**2 - 50*h - 91. What is the ten thousands digit of i(10)?
1
Let k be 2 + (-12)/(0 + -3). Let s = -12 + k. Let n(o) = -16*o - 34. What is the units digit of n(s)?
2
Let p(y) = -4*y**2 - 2*y + 23. Let b be p(0). Let s(l) = l**2 + 5*l + 74. What is the tens digit of s(b)?
1
Let f = 498 + 18758. What is the thousands digit of f?
9
Let f(c) = -c**3 + 7*c**2 - 12*c + 7. Let v be f(5). What is the units digit of (-659)/v + 5/(-3 + 18)?
0
Let p(b) = 639*b**2 - 8*b + 3. Let l(w) = -640*w**2 + 8*w - 5. Let d(v) = -3*l(v) - 2*p(v). What is the tens digit of d(1)?
4
Let u = 62 + -59. Suppose -5*w - u*z + 8*z = -25, 0 = -3*z. Suppose w*m + 2*b = 514, -3*m - b = 184 - 493. What is the tens digit of m?
0
Let u(a) = 21*a - 38. Let w be u(2). Suppose 4*p - 5*m - 1581 = 0, 673 = w*p + 5*m - 938. What is the hundreds digit of p?
3
Suppose -33*m + 12480 = 2*x - 32*m, 4*x - 2*m = 24944. Suppose -4*r - g + x = -4*g, -r + 1552 = 3*g. What is the hundreds digit of r?
5
Let g(m) = -940*m + 442. What is the units digit of g(-10)?
2
Let g(x) = 3*x - 13 - x**3 - 14 - 6*x**2 + 19. Suppose -2*w - 4*w - 48 = 0. What is the tens digit of g(w)?
9
Let f(c) = 9*c**2 - 3*c + 23. Let s = 135 + -130. What is the tens digit of f(s)?
3
What is the tens digit of (55216/(-4872))/(0 + (-1)/1371)?
3
Let v(l) = 147*l - 494. What is the hundreds digit of v(19)?
2
Suppose -9 + 44 = 7*x. Suppose -5 = 18*f - 23*f, -5*u = -x*f - 160. What is the units digit of u?
3
What is the thousands digit of (-156)/(-104)*22708/6?
5
Let s be (11 - 3094/(-7))/((-1)/(-12)). Suppose -7*p + 3944 = -s. What is the thousands digit of p?
1
Let y(f) be the second derivative of -11*f**5/4 + f**4/12 + 2*f**3/3 - f**2/2 - 6*f - 9. What is the hundreds digit of y(-2)?
4
Suppose -o + 5*g - 200 + 11903 = 0, 4*o - 5*g - 46752 = 0. Suppose -o - 32339 = -33*t. What is the thousands digit of t?
1
Suppose -35*t + 37*t + 6562 = 3*x, -5*t = 6*x - 13133. What is the hundreds digit of x?
1
What is the units digit of (-31 + 442548/144)/(1/16)?
6
Let j be 2 + 12/(-5) - (-340)/(-25). Let p be (30/j)/(-5) - 7102/(-7). Suppose -87 = 2*i + 2*k - 493, 0 = -5*i - 2*k + p. What is the tens digit of i?
0
Let v(h) be the second derivative of 5/12*h**4 + 0 + 6*h**2 + 17*h - 1/6*h**3. What is the hundreds digit of v(-7)?
2
Let s(q) = 55*q - 46. Let h(b) = -54*b + 47. Let y(v) = 6*h(v) + 5*s(v). What is the tens digit of y(-6)?
4
What is the hundreds digit of (50/35)/((-31)/(-13237))?
6
Let t = 531 - 528. Suppose g - t*g - 1134 = -2*j, -16 = -4*g. What is the units digit of j?
1
Let b be (-132)/(-440) - (3642/20)/(-3). Suppose 0 = 57*g - b*g - u + 2524, g - 642 = -3*u. What is the units digit of g?
0
Let z(d) = 28*d - 23. Let i(f) = 2*f. Let p(j) = -3*i(j) - z(j). What is the units digit of p(-13)?
5
Let w = 58233 + -36521. Suppose 15*h + w = 31*h. What is the thousands digit of h?
1
Suppose -74 = -17*y + 79. What is the hundreds digit of -9*(-3)/y - (1 - 385)?
3
Let k = 230 - 58. Let t be 2/13 + 36*6/117. Suppose -t*p + k = -0*p. What is the units digit of p?
6
Let i = -122 + 89. What is the tens digit of (-10340)/i + (-2)/6?
1
Let a(j) = -47*j + 88. What is the tens digit of a(-30)?
9
Let l = 127 + -122. Suppose -d = -l*v - 4523, 3 = 5*d - 4*d. What is the hundreds digit of v/(-5) - (44/(-20) - -2)?
1
Suppose -32*m + 32043 = -46165. Suppose 100*l - 5*z + 2430 = 102*l, -2*l = -2*z - m. What is the thousands digit of l?
1
Let p(m) = -2*m**2 - 11*m + 13. Let h be p(-17). Let f = -187 - h. What is the tens digit of f?
9
Let v be (-8)/6*(-3132)/(-24). Let o = v - -366. Suppose 3*f - o = 153. What is the hundreds digit of f?
1
Let g(b) = -2*b**2 + 22*b - 16. Let w be g(10). Suppose 0*u + w*n = -4*u + 2324, -n + 2905 = 5*u. What is the units digit of u?
1
Let y = 8105 - -8998. What is the hundreds digit of y?
1
Let i = -41 + 46. Suppose -5*w = -5*b + 1575, -2*w - 1302 = -i*b + 261. What is the tens digit of b?
1
Suppose 0*l - 4*l + 1799 = 5*j, -4*l = 3*j - 1073. Suppose z - j = -5*p + 1306, -2*p = -2*z - 670. What is the hundreds digit of p?
3
Let j(l) = 46*l**2 - 4*l**2 + 12 - 5*l**2 + 48*l**2 - l. Let c be j(3). Suppose -c = -10*f + 636. What is the units digit of f?
1
Let i(t) = t**3 - 12*t**2 + 13*t - 13. Let j be i(11). Suppose -1999 + 64 = -j*r. What is the tens digit of r?
1
Suppose -h - 3 = 0, -5 + 29 = -r + 2*h. Suppose 3*s + 195 = -3. What is the units digit of r/(-3)*s/(-12)?
5
Let a(k) = 4*k - 24. Let r be a(9). Let p(z) = -3*z - 45. Let d be p(0). What is the tens digit of ((-3 - d/r) + 2)*12?
3
Let h(x) = 3993*x**2 + 14*x + 25. What is the thousands digit of h(-2)?
5
Let i(y) = 16*y**3 + 55*y**2 - 16*y + 66. Let s = 42 + -31. Let n(g) = 3*g**3 + 11*g**2 - 3*g + 13. Let q(k) = s*n(k) - 2*i(k). What is the tens digit of q(-7)?
1
Suppose 4523*p - 4445*p = 39390. What is the tens digit of p?
0
Let l be 3/1 - (7 - 310). Suppose 5*x - 398 = -3*b, -b - 2*b + 414 = -3*x. Let z = l - b. What is the tens digit of z?
7
Let h(o) = 17*o**2 + 3 + 171*o**3 - 2 - 170*o**3. Let w be h(-17). What is the tens digit of w/(-18)*-4 + 2876/18?
6
Suppose i - 4*i = 3*r + 1407, -4*r + 5*i = 1903. Let b = -282 - r. What is the tens digit of b?
9
Let g(u) = 55*u + 87. Let m be g(9). What is the units digit of m - (-3 + 11 + -2)?
6
Let p = -8413 + 16263. What is the units digit of p?
0
Suppose -3*y - 3*k = -8*y + 51, k = -2*y + 16. What is the units digit of 24488/28 + y/21?
5
Let i(f) = -18*f - 51 - 20*f - 21*f + 50*f. What is the units digit of i(-14)?
5
Let j(n) = -n**3 - 10*n**2 + 18*n + 80. Let p be j(-11). Suppose 0 = -h + p*g + 486, -h = g - 276 - 198. What is the tens digit of h?
7
Suppose -8*k = -12*k + 12. What is the tens digit of (2/(-8))/(k/(-3156*1))?
6
Let t(i) = 18*i**2 - 2*i + 1. Let b be t(1). Let r = 3 + b. Let x = 3 + r. What is the units digit of x?
3
Let k(g) = 406*g + 826. What is the hundreds digit of k(17)?
7
Let l(n) = 13*n - 62. Let t be l(6). Let s = t + 12. Let v(g) = g**2 - 23*g + 43. What is the hundreds digit of v(s)?
1
Let b(v) = -2*v**3 + 8*v**2 + 7*v + 5. Let p be b(-7). Let q(c) = 2*c - 2. Let o be q(7). What is the units digit of p/10 + o/(-30)?
3
Suppose 4 + 1 = 3*x + z, 4 = -z. Suppose c - 5*c + 5*n + 1519 = 0, 0 = x*c + n - 1125. What is the hundreds digit of c?
3
Suppose 0 = 14*t + 148595 - 629159. What is the hundreds digit of t?
3
Let i = 605 - -1533. What is the hundreds digit of i?
1
Let w(t) = -13 - 18 - 24 + 46*t. What is the hundreds digit of w(13)?
5
Let d(x) = 7*x**2 - 121*x + 38. Let v be d(17). Suppose -v*w = -7*w + 1569. What is the hundreds digit of w?
5
Let g = 49 + -46. Suppose -k = 5*b - 20, 3*b + 4*k - g = 26. Suppose 8*j - 430 = b*j. What is the tens digit of j?
8
Let i = -12264 + 17435. What is the tens digit of i?
7
What is the thousands digit of 690/(-115)*-1*653*(-3)/(-1)?
1
Let d(g) be the third derivative of 11*g**4/12 + 133*g**3/6 - g**2 - 8. What is the tens digit of d(34)?
8
Let l be ((-8)/14)/((-14)/196). Suppose 2*d = 2*f - 994, 0 = d + d - l. What is the units digit of f?
1
Let w = 86 + -82. Suppose 3*h - w*l - 135 = 4*h, -3*h - 5*l = 377. Let k = -61 - h. What is the units d


e
Let x(k) = -3*k + 4. Suppose 8 = -12*c + 14*c. Let h be x(c). Let y(f) = f**3 + 7*f**2 - 12*f - 6. Is y(h) a multiple of 13?
True
Let u = 2477 - 1633. Is u a multiple of 40?
False
Suppose 0 = 2*b + 5*j + 14365, 3*j + j = -4*b - 28736. Is 8/16 - (b/(-6))/(-5) a multiple of 23?
False
Let o = -7 + 10. Suppose 112 = -4*y + s, o*y = -0*s - s - 84. Is 7 a factor of (-28)/1*24/y?
False
Let f = 4366 + -3006. Does 16 divide f?
True
Let d be 3 - (-61 - (-1 - 2)). Let i = 102 - d. Let m = i - 29. Does 5 divide m?
False
Let w(m) = -3*m - 1. Let z be w(4). Let v = z - -7. Is -2*48/(v + 2) a multiple of 8?
True
Let q = 173 + -110. Let b be (-8)/(7/(q/(-6))). Suppose 3*x - b = -0. Is 2 a factor of x?
True
Suppose 2*h + 1381 = 3*h - 5*x, -5*x + 2792 = 2*h. Suppose -7*a = 6*a - h. Is a a multiple of 6?
False
Suppose -5*t - 4*x + 56 = 0, -2*x - 24 = -5*t + 2*x. Let c(h) = -h**2 + 7*h + 0 + 11*h - t*h - 2. Is c(8) a multiple of 4?
False
Let f = -19 + 17. Let t be (f + (-30)/(-8))*4. Let c(n) = n**3 - 7*n**2 + 2*n - 7. Is c(t) a multiple of 2?
False
Let h(z) = 12*z - 10. Let l(a) = a + 10. Let t be l(-3). Is 37 a factor of h(t)?
True
Let l be 5*((-62)/(-6))/((-5)/6). Let r = 67 + l. Is r a multiple of 2?
False
Let b(h) = h**3 - 47. Let q be b(0). Let z = 59 + q. Does 3 divide z?
True
Let c be 2/((-4 + 3)/10). Let y = 7 - c. Does 9 divide y?
True
Let b be -6*(2 - 25/10). Suppose q - a - 120 = b*a, 4*q - 467 = 3*a. Is 17 a factor of q?
False
Suppose -15*j + 48*j - 6435 = 0. Is 5 a factor of j?
True
Is 48 a factor of (-18)/(-42) - 29202/(-21)?
False
Let x(q) = -3*q - 26. Let u be x(-14). Does 3 divide (u + -2)/((-2)/(-3))?
True
Suppose l + 198 = 4*p + 49, 0 = 3*p + 3*l - 93. Is p even?
True
Let i = 12 - 23. Let l = i + 23. Is 4 a factor of l?
True
Let g = -102 + 126. Does 2 divide g?
True
Suppose -4*u = 3*t + 75 - 561, -4*t = -4*u + 472. Does 12 divide u?
True
Let y be (-12*1)/(9/(-48)) + 4. Let m = y + 27. Is m a multiple of 21?
False
Suppose -3*x = -4 - 2. Suppose -15 = -q - x*q. Suppose -q*i = 1 - 21. Is i a multiple of 4?
True
Suppose 2*i + 3 = 3*l, 4*l - 9 = l. Suppose -i*r - 2*v = -0*v - 37, -2*r + 5*v = 7. Suppose 0 = 3*b - r, 0*z + 5*b = 5*z - 25. Is z a multiple of 4?
True
Does 2 divide 176 + (-13 + 17 - 8)?
True
Let c(h) = 6*h**2 + 47*h + 439. Is 22 a factor of c(-17)?
False
Let l = -6 + 2. Is 6 a factor of ((-14)/l - 2)/((-11)/(-132))?
True
Suppose 558*r = 565*r - 6566. Is 13 a factor of r?
False
Let h(x) = -x**3 - 39*x**2 - 39*x + 49. Is 2 a factor of h(-38)?
False
Suppose -2*h - u = -130, 5*u - 325 = -5*h + u. Does 2 divide h?
False
Let t = 114 - -726. Is 15 a factor of t?
True
Let c be (-4)/(-6) - 30/(-9). Let x(g) = g**2 - g + 1. Let s be x(2). Suppose c*h - 2*h = -r + 96, -s*r = -12. Does 10 divide h?
False
Let j be (-16)/6*(-54)/24. Suppose -3 = -j*x + 33. Is x a multiple of 2?
True
Let o(t) = -2*t**2 + 2*t + 1. Let j be o(-1). Let p = -72 + 75. Does 14 divide p*-59*j/9?
False
Suppose -7*d + 1281 = -1309. Does 10 divide d?
True
Let b = 35 + -17. Suppose -3*k + b = -d, -k + 3*k + 4*d + 2 = 0. Suppose 4*j - 4*p = 8*j - 272, k*p + 236 = 3*j. Does 18 divide j?
True
Let c(p) = 2*p**2 - 27*p - 261. Is c(-14) a multiple of 17?
False
Let p be ((-33)/9 + 4)/(1/(-6)). Is (-8668)/(-33) + p/(-6) a multiple of 50?
False
Let k(i) = -i**2 + 12*i - 29. Let f(v) = -v**3 - 18*v**2 + 19*v + 6. Let x be f(-19). Does 2 divide k(x)?
False
Let d(q) = -q**3 - 2*q**2 + 3*q + 6. Let v be d(0). Let y(o) = 2*o**3 - 10*o**2 + 2*o + 5. Is 9 a factor of y(v)?
False
Suppose -o = r - 2, -2*o + 5 + 1 = r. Is 720/52 - r/13 a multiple of 7?
True
Suppose 0 = -b - 2, -3*b + 794 + 17068 = 4*n. Is 22 a factor of n?
False
Let k = 1178 - 826. Is 33 a factor of k?
False
Is (-560)/(-6) + -1 + 128/192 a multiple of 17?
False
Let y(p) = -p**3 - 7*p**2 + 4*p + 32. Is y(-8) a multiple of 16?
True
Let s = -759 - -1303. Suppose 0 = -8*c + 4*c + s. Suppose -5*p = -p - c. Is p a multiple of 17?
True
Suppose 7*d = -23*d + 60060. Is 14 a factor of d?
True
Let o be 3 + (-90 - 4)*-3. Suppose -y - 2*y = -o. Is 15 a factor of y?
False
Suppose 18 = -4*x + 66. Suppose k - x = 93. Does 23 divide k?
False
Let y = 40 - 60. Is 3 a factor of 57 + -1 + 24 + y?
True
Let r(c) = 16*c**2 + 4*c + 93. Is 41 a factor of r(-9)?
True
Suppose -2*y = -3*y. Suppose -4 + y = -2*d. Suppose d*w = 4*w - 48. Does 12 divide w?
True
Let c be 0 + (0 - -9) + -2. Suppose 10*g = c*g. Suppose 0*t = 5*t - 3*k - 171, g = 4*t - 2*k - 138. Does 15 divide t?
False
Suppose 0*m + 6*m = -54. Does 18 divide 22*7 - m*5/15?
False
Let z(v) be the second derivative of v**5/10 - 5*v**4/12 - v**3/3 - 2*v**2 + 9*v. Does 6 divide z(4)?
True
Suppose -3*b - 6 = -3*a, -2*b + 4*b + 29 = -3*a. Let k = 48 - 36. Let p = k + b. Does 2 divide p?
False
Suppose 30*b + 6*b - 75348 = 0. Is 13 a factor of b?
True
Suppose 4*z = 3*c - 7084, 5*z = 3*c - 2644 - 4441. Is 43 a factor of c?
False
Suppose -12 = -4*f + 16. Suppose 15 = z - f. Let w = z + -12. Is w a multiple of 5?
True
Suppose 0 = m + 3*m - 2*d - 44, -4*m - 4*d = -56. Suppose f + m = 104. Is 21 a factor of f?
False
Let l(b) = -60*b + 10. Is 9 a factor of l(-9)?
False
Suppose 5*f + 16 = 4*q, 4*f = 4*q - 7*q + 12. Let b(a) = -a**3 - a**2 + 9. Does 8 divide b(f)?
False
Suppose -3*u = 3*a - 186, -4*a + 7*a - 128 = -2*u. Does 28 divide u?
False
Suppose -4*g - 3*a = 14, 3*g + 3*a - 2*a + 13 = 0. Let i(u) = u**2 - u + 5. Is 35 a factor of i(g)?
True
Let o(k) = k**3 + k**2 + k. Let u(s) = 4*s**3 + 16*s**2 + 13*s + 16. Let x(v) = -5*o(v) + u(v). Let t be x(11). Suppose -t = -3*b - b. Is 13 a factor of b?
True
Let q(w) = w**2 - 5*w + 1. Let s = 11 - 5. Let z be (-44)/(-8) - (-3)/s. Is q(z) a multiple of 7?
True
Suppose -k = 3*k - 8. Suppose 50 - 148 = -k*h. Let x = -27 + h. Is 11 a factor of x?
True
Suppose -5*m + i + 1621 = 0, 4*m + i = -414 + 1709. Is m a multiple of 3?
True
Let a(o) = 2*o + 7. Suppose 2*w = -3*t - 0 + 7, 0 = -w + 2*t + 7. Is a(w) a multiple of 3?
False
Suppose 3*k - 5*w = 5861, 6*w - 7836 = -4*k + 2*w. Is k a multiple of 19?
True
Suppose 3*k + 0 = 12. Suppose 50 + 58 = k*n. Is 4 a factor of n?
False
Suppose 5*l + 4*v = -v + 20, -5*l + 28 = -3*v. Suppose u = l*u - 80. Suppose t - 5*t - 71 = -a, -5*t = u. Does 11 divide a?
True
Let f = 1632 - 1240. Is 16 a factor of f?
False
Let n(o) = 5*o**2 + 4*o - 7. Is 2 a factor of n(3)?
True
Let v = 846 + -632. Is 25 a factor of v?
False
Suppose -2*k = -3*p - 6*k + 107, 91 = 3*p - 4*k. Is p a multiple of 12?
False
Suppose -201 = -8*d + 5*d. Suppose 0 = -2*p + 17 + d. Is p a multiple of 6?
True
Let w(f) = 1. Let z(q) = -2*q + 23. Let o(v) = -6*w(v) + z(v). Let n be o(6). Is ((-2)/2)/((-1)/n) even?
False
Let n be 8*4/(-12) + (-2)/6. Let a(j) = -38*j + 4. Is 24 a factor of a(n)?
False
Is 719/2 - (27/18 - 2) a multiple of 8?
True
Suppose 144*z - 149*z + 3055 = 0. Does 4 divide z?
False
Does 26 divide (-19 + 17)*(-4335)/6?
False
Let c = 286 + 43. Is 7 a factor of c?
True
Suppose -4*c - 3156 = -4*q - 2*c, 5*q + 2*c = 3954. Does 79 divide q?
True
Suppose 5*j - 10 = -5*s, -15 = -5*j + 3*s + 3. Suppose -2*g = -3*g - 3, -3*i + j*g + 24 = 0. Suppose i*b + 40 = 10*b. Is b even?
True
Suppose -2 = -g, 0*g + g = 4*i - 10. Suppose -5*z + 8 = -7, 3*s + 4*z = 12. Suppose s = -n + p + 5, -i*p + 6*p - 55 = -4*n. Does 3 divide n?
False
Suppose 20 = 5*r, 2*f + 0*r - 4*r - 600 = 0. Is f a multiple of 28?
True
Let a(x) = x**3 - 27*x**2 + 16*x - 90. Does 9 divide a(27)?
True
Let v = 1494 - 729. Is 51 a factor of v?
True
Let i = -48 + 288. Let c = -165 + i. Is 15 a factor of c?
True
Suppose 0 = 2*v + 3*z - 194 - 18, 0 = 2*v + z - 216. Let k = v + -76. Is 6 a factor of k?
False
Suppose 0 = 2*v + c - 11, 4 = 2*v + 3*c - 17. Let k = -136 + 216. Suppose y + t - 29 + 4 = 0, -v*y + k = 2*t. Is y a multiple of 13?
False
Suppose -2*b + 13 = -b. Let c = -6 + b. Suppose -2*q - c = 3*n - 62, 0 = -4*q - 4. Is n a multiple of 9?
False
Let h(y) = 304*y + 36. Is h(3) a multiple of 14?
False
Let b(q) be the second derivative of -q**3/2 + 3*q**2 + 12*q. Is 8 a factor of b(-6)?
True
Let z = -12 - -17. Suppose 5*f - z*o = -60, -3*o = 5*f + 93 - 9. Is (8/(-20))/(3/f) even?
True
Let c(j) = -11*j + 6. Let p be c(4). Let b = p - -22. Let x(i) = i**2 + 14*i. Is 8 a factor of x(b)?
True
Let x(s) = -s + 9.