156*j**2 - 2
Let a(b) = b**2 - 2*b - 2. Let d(m) = 84*m - 1 - 32*m - 51*m. Give a(g) - 2*d(g).
g**2 - 4*g
Let m(g) = -4*g. Let f(y) = 13*y. Let p(i) = -2*f(i) - 7*m(i). Let d(r) = -4 + 3 + 0. Suppose -2*b - 29 = 9*k - 13, 14 = 4*b - 5*k. Calculate b*d(q) + p(q).
2*q - 1
Let h(s) = s + 2. Let u(b) = 4*b - 6. Let n(y) = -30*h(y) + 5*u(y). Let c be n(-11). Let w(r) = -15*r**2 - 20. Let g(q) = q**2 + 1. What is c*g(p) + w(p)?
5*p**2
Suppose -43*w - 13 = 99 + 103. Let s(a) = -9*a - 5. Let m(d) = 9*d + 6. What is w*s(t) - 4*m(t)?
9*t + 1
Let s(k) = -6*k**3 + 6*k**2 + 5. Let m(d) = 11*d**3 + 0*d**3 - 11 + 569138*d**2 - 569151*d**2. Calculate -6*m(h) - 13*s(h).
12*h**3 + 1
Let l = 4096 - 4075. Let s(j) = 18*j**2 - 4*j - 4. Let i(d) = 91*d**2 - 21*d - 21. What is l*s(o) - 4*i(o)?
14*o**2
Let d(k) = -928*k**3 - 4*k - 925*k**3 + 1854*k**3 + 5*k**2 + 2. Let r(g) = -g**3 - 6*g**2 + 5*g - 3. Give -3*d(y) - 2*r(y).
-y**3 - 3*y**2 + 2*y
Let x(b) = -15*b**2 - 19*b - 18. Let j(k) = 18*k**2 + 22*k + 20. Let r(d) = 6*j(d) + 7*x(d). Let m(o) = 3*o**2 - o - 6. Calculate 7*m(f) - 6*r(f).
3*f**2 - f - 6
Let o(u) = -u**2 + u. Let y be ((-7)/(-21) - 0) + (-160)/48. Let l(d) = 3*d**3 + 6*d**2 - 6*d. Give y*l(b) - 18*o(b).
-9*b**3
Let a(f) = 136*f - 2. Let n(m) = -46*m + 2. Calculate 3*a(o) + 8*n(o).
40*o + 10
Let f(y) = -13*y**2 + 45*y - 21. Let t(r) = -20*r**2 + 67*r - 32. What is 8*f(l) - 5*t(l)?
-4*l**2 + 25*l - 8
Let p(o) = 4*o**3 + 6*o**2 - 4*o + 13. Let y(d) be the second derivative of 9*d**5/20 + 13*d**4/12 - 3*d**3/2 + 27*d**2/2 - 538*d. Give 13*p(s) - 6*y(s).
-2*s**3 + 2*s + 7
Let w(p) = 133*p + 16. Let i(x) = -225*x - 34. What is -2*i(r) - 5*w(r)?
-215*r - 12
Let y(c) = -4*c**2 - 13*c + 7. Suppose -63*a - 16 = -457. Let l(x) = -2*x**2 - 7*x + 4. Calculate a*l(u) - 4*y(u).
2*u**2 + 3*u
Let p(s) = -8*s - 1. Let q = 368 + -361. Let h(v) = 66 - 64 + 5*v + 4*v. Determine q*p(i) + 6*h(i).
-2*i + 5
Let h = 7 - 3. Let g(c) = -2 + h + 1. Let d(w) = -146 - 67*w + 49*w + 19*w + 140. Calculate -3*d(m) - 6*g(m).
-3*m
Let z(f) = 1857*f - 116. Let s(x) = 3714*x - 248. Give -7*s(j) + 15*z(j).
1857*j - 4
Let t(b) = -1. Let h(q) = -q - 1031. What is -h(g) + 3*t(g)?
g + 1028
Let d(p) = 21 - 8*p - 3 - 12 - 9. Let m = 28 + -28. Let s(n) = -3 - 27*n + 4 + m + 29*n. What is 2*d(a) + 9*s(a)?
2*a + 3
Let l(z) = 26*z**2 - z - 89. Let k(o) = -8*o**2 + 25. Let n(x) = 7*k(x) + 2*l(x). Let w(v) = 3*v**2 + v + 2. Determine 4*n(p) + 5*w(p).
-p**2 - 3*p - 2
Let a(w) = 2*w**2 - 305*w - 34. Let k(t) = -2*t**2 + 308*t + 36. Give 10*a(j) + 9*k(j).
2*j**2 - 278*j - 16
Let w(p) = -763*p**3 - 7*p - 48. Let b(a) = 762*a**3 + 8*a + 64. What is 3*b(n) + 4*w(n)?
-766*n**3 - 4*n
Let a be (-1)/1 + -1 + 1. Suppose -500*z + 480*z - 48 = 12. Let r(p) = p + 1. Let x(y) = -6*y - 5. Give a*x(d) + z*r(d).
3*d + 2
Suppose -12*a - 7*a = -3572. Let t = a + -205. Let s(f) = 2*f**3 - 6*f**2 + 2*f. Let j(r) = -6*r**3 + 17*r**2 - 6*r. Determine t*s(d) - 6*j(d).
2*d**3 + 2*d
Let a(p) = 2*p**2 + 2*p - 8. Suppose 7*y - 2*y + 3966 = 3941. Let k(s) = 3*s**2 + 4*s - 16. What is y*a(u) + 3*k(u)?
-u**2 + 2*u - 8
Let o(i) = -2*i**2 + 9*i - 155. Let r(p) = p**2 - 4*p + 72. Let k(f) = -6*o(f) - 13*r(f). Let a(b) = b**2 + 2*b + 5. Determine 6*a(h) + 5*k(h).
h**2 + 2*h
Let v(j) = 8*j**3 + 10*j**2 + 3*j + 59. Let m(q) = 2*q**3 + 3*q**2 + q + 2. Give 3*m(r) - v(r).
-2*r**3 - r**2 - 53
Let z(g) = 17*g**2 - g + 37. Let q(x) = -26*x**2 + 2*x - 37. Give -2*q(s) - 3*z(s).
s**2 - s - 37
Let d(l) = -2*l**2 - 7*l - 1. Let g(u) be the third derivative of u**4/24 + u**3/6 - 3653*u**2. What is d(x) + 6*g(x)?
-2*x**2 - x + 5
Let y(n) = -1075*n**2 + 6*n - 14. Let w(j) = 11*j**2 - j + 2. Calculate -6*w(s) - y(s).
1009*s**2 + 2
Let c(h) = h + 2. Suppose 181 = -5*l - 4*j, -l - 2*j - 15 - 20 = 0. Let v = -25 - l. Let s be (-2)/v + 26/12. Let t(u) = -2. What is s*c(x) + 2*t(x)?
2*x
Let n(h) = 2557*h**3 - 6*h**2 + 6*h - 6. Let y(v) = -1030494*v**3 + 2419*v**2 - 2419*v + 2419. What is -2419*n(z) - 6*y(z)?
-2419*z**3
Suppose -6 = -4*d + 2*j, -5*d + 34*j = 37*j - 2. Let o(u) = -2*u**2 + 10*u - 1. Let h(s) = s**3 + s**2 - s. What is d*o(n) + 2*h(n)?
2*n**3 + 8*n - 1
Let b(n) = -12*n**2 + 12*n + 10. Let v(d) = -13*d**2 - 8*d + 7. Determine 2*b(y) - 3*v(y).
15*y**2 + 48*y - 1
Let t(b) be the first derivative of 7*b**4/4 + 5*b**3/3 + 7*b**2/2 - 4*b - 12887. Let a(k) = -k**3 - k**2 - k + 1. Calculate -6*a(x) - t(x).
-x**3 + x**2 - x - 2
Let b(t) = -1113706*t**3 + 2227418*t**3 - 3*t**2 + 3*t - 1113710*t**3. Let i(m) = 4*m**3 - 5*m**2 + 5*m. What is 10*b(f) - 6*i(f)?
-4*f**3
Suppose -4008 = 407*g + 595*g. Let v(u) = u**2 + u. Let x(t) be the first derivative of -2*t**3 - t**2 - 8*t - 2. Determine g*v(m) - x(m).
2*m**2 - 2*m + 8
Let t(d) = -d + 1. Let k be (-319)/33 - 18/54. Let b(x) = -5*x - x + 8 + 0*x. Calculate k*t(s) + b(s).
4*s - 2
Suppose -2*i + 14 - 10 = 0. Let f(t) = 8*t**3 + 2. Let v(l) = -33*l**3 - 9. Let u be -3*(1 - 4)*20/20. Give i*v(d) + u*f(d).
6*d**3
Let s(u) = 58*u**2 - 11*u - 3. Let r(o) = 118*o**2 - 26*o - 5. What is 2*r(n) - 5*s(n)?
-54*n**2 + 3*n + 5
Let j(h) = 4*h**3 + 7*h - 8. Let t be 6/10 - ((-312)/30 - 0). Let m(i) = -29 + 3*i - t*i + 38 - 5*i**3. Let q = 23 + -30. Give q*j(p) - 6*m(p).
2*p**3 - p + 2
Let i(p) = 9*p**3 - 6*p**2 - 5*p + 5. Let c(o) = 435981*o**3 + 2 + o - 3*o - 435977*o**3 - 3*o**2. What is 5*c(x) - 2*i(x)?
2*x**3 - 3*x**2
Let p(l) = l - 4. Suppose 360 = 2*k + 286. Let r(s) = -21*s + k*s + 3 - 18*s. Give 3*p(x) + 4*r(x).
-5*x
Let u(w) = 17*w + 2. Let l(o) = o**2 - 40*o + 73. Let m be l(2). Let r(b) = 34*b + 4. What is m*r(q) + 7*u(q)?
17*q + 2
Let j(q) = -5*q. Suppose -35*u - 115 - 73 - 57 = 0. Let h(m) = -m**3 + 16*m + 1. What is u*j(y) - 2*h(y)?
2*y**3 + 3*y - 2
Let a(t) = 43*t**3 - 2*t**2 - 3*t. Suppose s - 5*h = 35, 0 = 3*s + 35*h - 30*h + 15. Let y(r) = 64*r**3 - 3*r**2 - 4*r. Give s*y(i) - 7*a(i).
19*i**3 - i**2 + i
Let s(v) = -5*v - 2. Suppose -16*b - 56 = -9*b. Let i be (b/6)/(6/(-27)). Let g be 132/22*((-10)/i - -1). Let h(p) = p + 1. What is g*h(c) - s(c)?
c - 2
Let r(v) = -35*v + 261. Let t be r(7). Suppose -t*b = -8*b - 8. Let g(c) = -2*c**2 - 3*c + 4. Let y(k) = -k + 1. What is b*g(s) - 6*y(s)?
-2*s**2 + 3*s - 2
Let l(q) = -865. Let a(p) = 866. Let h(b) = -a(b) - l(b). Let o(k) be the third derivative of k**5/30 + k**4/12 + 2*k**3/3 + k**2. Calculate 2*h(i) + o(i).
2*i**2 + 2*i + 2
Let r(d) = -9*d**2 - 3*d - 3. Let x(o) = -23*o**2 + 54*o - 5. Let f(h) = h**2 - 10*h. Let y(u) = -6*f(u) - x(u). Calculate 5*r(t) + 3*y(t).
6*t**2 + 3*t
Let i(f) be the third derivative of -f**3/6 + 1568*f**2. Let d be (-2)/7 + (-92)/(-28). Let z(o) = d + 2 + 3*o + o**2 - 4*o. Determine -3*i(v) - z(v).
-v**2 + v - 2
Let o(x) = 53*x + 8. Let y(w) = -220*w - 33. What is -18*o(v) - 4*y(v)?
-74*v - 12
Let r be 428/(-72) + (-8)/144. Let c be (5/(-2))/(2/(-4)). Let w(y) = -y**3 + 5*y**2 - 5*y - 5. Let b(z) = 6*z**2 - 6*z - 6. Give c*b(n) + r*w(n).
6*n**3
Let m(n) = -51*n**3 + 54*n**2 - 7*n - 36. Let r(t) = -76*t**3 + 81*t**2 - 10*t - 51. Calculate 10*m(i) - 7*r(i).
22*i**3 - 27*i**2 - 3
Let k(b) = -3*b + 6. Let s(w) = 3*w - 5. Suppose 5*n - 11*n + 156 = 0. Suppose 19*a = 31 + n. What is a*k(o) + 4*s(o)?
3*o - 2
Let g(w) = 32*w**2 - 3*w + 3. Let p be -1*(0 + -5)/(-5). Let f(a) = a**2 - a + 1. Determine p*g(h) + 3*f(h).
-29*h**2
Let h(t) = 2*t**3 + 5*t**2 - t - 9. Let g(z) = z**3 + 0*z + 5297*z**2 - 3*z + 2*z - 5 - 5294*z**2. Calculate 5*g(f) - 3*h(f).
-f**3 - 2*f + 2
Let k(y) = y**3 + 12*y**2 - 9*y - 8. Let d(w) = -10*w**2 + 9*w + 6. Give -5*d(t) - 4*k(t).
-4*t**3 + 2*t**2 - 9*t + 2
Let f(c) = -25*c + 1. Let a(o) = 2*o. Let m(y) = -11*a(y) - f(y). Let w(x) = x. Let q = -17 + 14. What is q*w(i) - m(i)?
-6*i + 1
Let l(t) = 3 + 2 - t - 7 + 0. Let o be l(-3). Let a(v) = v - 1. Let r be ((-1)/(-3) - 1)/(2/12). Let c(u) = 7*u - 6. Calculate o*c(q) + r*a(q).
3*q - 2
Let x = -357 - -535. Suppose x = 13*p - 4. Let k(l) = -10*l**3 + 7*l. Let r(c) = -3*c**3 + 2*c. Determine p*r(z) - 4*k(z).
-2*z**3
Let w(c) = 511*c**3 - 17*c**2 + 32*c + 165. Let j(z) = 102*z**3 - 3*z**2 + 6*z + 30. What is 11*j(v) - 2*w(v)?
100*v**3 + v**2 + 2*v
Let o(y) = -y + 1. Let v(w) = 17*w - 74. Determine -6*o(f) - v(f).
-11*f + 68
Suppose -20 = -y - 13, -r + 5*y - 31 =