j) + 4*m(j).
-j + 2
Let h(g) = 76*g + 7. Let c(s) = 142*s + 15. Calculate 6*c(q) - 11*h(q).
16*q + 13
Let z(n) = -51*n**3 - 8*n**2 + 12. Let l(h) = 6*h**3 + h**2 + h - 2. Let a(m) = 4*l(m) + z(m). Let t(u) = 53*u**3 + 7*u**2 - 7*u - 7. Give -7*a(i) - 4*t(i).
-23*i**3
Let h(w) = -12*w**2 + 5*w - 5. Suppose -31*r + 29*r + 5*u = -4, -4*r + 18 = -5*u. Let d(o) = -13*o**2 + 6*o - 6. Determine r*h(j) - 6*d(j).
-6*j**2 - j + 1
Let p(j) = 8*j**3 - 5*j**2 - 1006*j + 33. Let d(w) = 13*w**3 - 8*w**2 - 1509*w + 52. Calculate -5*d(f) + 8*p(f).
-f**3 - 503*f + 4
Let r(c) = -3 + 0*c - 8 - 344*c**3 - 7*c - 4*c - 2*c**2 + 336*c**3. Let v(d) = 4*d**3 + d**2 + 6*d + 6. Give 6*r(s) + 11*v(s).
-4*s**3 - s**2
Let n(w) = 4*w**2 - 603. Let o(u) = -8*u**2 + 1206. Calculate 5*n(i) + 3*o(i).
-4*i**2 + 603
Let p(g) = 3*g**2 - 2*g + 3. Let a be ((-1)/4*-2)/(12 - (-657)/(-54)). Let d(l) = 3*l**2 - 2*l + 2. Give a*d(r) + 2*p(r).
-3*r**2 + 2*r
Let b = 287 + -285. Let m(y) = -2*y**b - 22 + 26 + 2*y**2 + 2*y + y**2. Let h = -6 + 4. Let t(u) = -u**2 - u - 3. What is h*m(r) - 3*t(r)?
r**2 - r + 1
Let z(d) = -3*d**3 + 2*d**2 - 5*d. Let g(v) = 3*v**3 - 4*v**2 + 10*v. Give -6*g(p) - 11*z(p).
15*p**3 + 2*p**2 - 5*p
Let t(f) be the second derivative of -5*f**3/6 + 15*f**2/2 - 194*f + 1. Let g(i) = -6*i + 15. What is 6*g(h) - 7*t(h)?
-h - 15
Let n(x) = 2*x - 4*x + 0*x + 6 - 1. Let u(h) = -h**2 + 8*h + 3. Let v be u(0). Let w(r) = -r + 1 - 1 + 0 + v. Determine -6*n(l) + 11*w(l).
l + 3
Let k(p) = 5*p**3 - 2734*p + 6. Let f(j) = 9*j**3 - 5467*j + 10. What is -3*f(h) + 5*k(h)?
-2*h**3 + 2731*h
Let f(a) = -23*a**3 - 451*a**2 - 24*a - 7. Let p(w) = -26*w**3 - 449*w**2 - 27*w - 8. Determine -9*f(v) + 8*p(v).
-v**3 + 467*v**2 - 1
Let k(t) = -t**3 - t**2 + 3*t + 1. Let s(z) = 4*z**3 - 3*z + 3. What is k(w) + s(w)?
3*w**3 - w**2 + 4
Let t(j) = -14*j**2 - 3*j - 3. Let x(s) = 5*s**2 + s + 1. Suppose 8 = 3*d - 13. Let f = -15 + d. Let g be 11/((-55)/21) - (-18)/15. Give f*x(r) + g*t(r).
2*r**2 + r + 1
Let d(i) = 404*i**2 + 7*i - 2. Let t(b) = 405*b**2 + 6*b - 2. Give 6*d(h) - 7*t(h).
-411*h**2 + 2
Let g(s) = -3030*s**3 - 4*s**2 - 6*s + 24. Let n(m) = -3027*m**3 - 3*m**2 - 5*m + 20. Calculate -5*g(k) + 6*n(k).
-3012*k**3 + 2*k**2
Suppose -15*r + 11 + 64 = 0. Suppose r*j - 2*o = -29, 6*o + 7 = -3*j + 2*o. Let n(s) = -2*s - 2. Let c(h) = 4*h + 5. Give j*n(x) - 2*c(x).
2*x
Let l(u) = -u**2 + u - 1. Let g(p) = -p. Let h(j) = 10*j. Let d(q) = 8*g(q) + h(q). Let o = 350 - 356. Let v be (2 - 4)*(36/(-6))/o. Determine v*l(s) + d(s).
2*s**2 + 2
Let k(g) = 3*g**2 - 11*g - 25. Let a(r) = 2*r**2 - 10*r - 29. What is -7*a(t) + 6*k(t)?
4*t**2 + 4*t + 53
Let w(n) = 4*n**3 + 1313*n**2 + 7*n - 28. Let i(x) = -2*x**3 - 654*x**2 - 3*x + 12. Give -7*i(k) - 3*w(k).
2*k**3 + 639*k**2
Let p(u) = -25*u + 917. Let j(r) = 15*r - 465. Give 9*j(c) + 5*p(c).
10*c + 400
Let f(x) = -x**2 - x. Let i(y) = -3*y**2 - y + 3. Let u = 7541 + -7546. Determine u*f(w) + i(w).
2*w**2 + 4*w + 3
Let t(y) = 4*y**3 - 2*y**2 - 69*y - 5. Let k(o) = -3*o**3 + o**2 + 69*o + 4. Calculate 5*k(j) + 4*t(j).
j**3 - 3*j**2 + 69*j
Let b(g) = -2*g**3 - 2*g**2 + 60*g + 176. Let j(c) = -c**3 + 20*c. Calculate -b(a) + 3*j(a).
-a**3 + 2*a**2 - 176
Let d(v) = v + 1. Let c = -25 + 28. Let f(t) = 1. Let w(n) = -75*n + 445. Let u be w(6). What is c*d(r) + u*f(r)?
3*r - 2
Let a(v) be the first derivative of 4588*v**3/3 - 279*v**2/2 + 279*v + 1002. Let r(m) = -33*m**2 + 2*m - 2. Give 2*a(y) + 279*r(y).
-31*y**2
Let w(b) = -b - 8. Let u(r) be the third derivative of -1/12*r**4 + 18*r**2 + 3 - 7/6*r**3 + 0*r. What is 7*u(p) - 6*w(p)?
-8*p - 1
Let j(h) = -117*h**3 + 69*h + 3. Let b(i) = 48*i**3 - 34*i - 2. Calculate 5*b(m) + 2*j(m).
6*m**3 - 32*m - 4
Suppose 7*u + 196 = 3*u. Let j(p) = 84*p - 49. Let n(x) = -7*x + 4. Let l = 3459 - 3463. Give l*j(g) + u*n(g).
7*g
Let t(n) = -10*n + 28. Let z(o) = 11*o - 33. Calculate 8*t(m) + 7*z(m).
-3*m - 7
Let m(w) = -w**3 - w. Let r(p) = 17*p**3 + 23*p**2 + 10*p - 3. Calculate -11*m(b) - r(b).
-6*b**3 - 23*b**2 + b + 3
Suppose 4*z - 1245 = 703. Let o(w) = z*w - 486*w + 1 + 3 - 4. Let r(i) = -i**2 - 5*i - 3. Let a be r(-4). Let h(x) = -10*x + 2. Calculate a*h(d) + 8*o(d).
-2*d + 2
Let z(h) = 5*h**3 + 2*h**2 - h + 2. Let r(i) = -4*i**3 - 3*i**2 + 2*i - 3. Let x(c) = -c**3 + 16*c**2 - 52*c - 11. Let s be x(5). Give s*r(d) + 6*z(d).
14*d**3 + 2*d
Let i(q) = -22*q + 786. Let x(k) = 3*k - 108. Determine 4*i(j) + 30*x(j).
2*j - 96
Suppose -r - 5*s = -26, -8 + 46 = 5*r + 2*s. Let q(w) be the first derivative of -w**2/2 + 4*w - 9. Let k(x) = 2*x - 7. Determine r*k(u) + 11*q(u).
u + 2
Let z(a) be the first derivative of a**4/4 - 3*a**2/2 - 3*a + 16. Suppose 82*d = 17*d + 195. Let l(v) = v**3 - 4*v - 4. What is d*l(g) - 4*z(g)?
-g**3
Let w(s) = -7*s**3 - 6*s**2 - 8*s - 11. Let l(a) = 11 + 78*a - 1 - 71*a - 57*a**2 + 62*a**2 + 6*a**3. What is 6*l(y) + 5*w(y)?
y**3 + 2*y + 5
Let d(w) = -641*w**2 + 18*w + 2. Let o(p) = 637*p**2 - 21*p - 1. Calculate 7*d(c) + 6*o(c).
-665*c**2 + 8
Let s(y) = 4*y**2 - 3*y + 3. Let w(h) be the third derivative of -1/3*h**3 - 1/20*h**5 + 0 + 0*h + 19*h**2 + 1/12*h**4. What is 2*s(t) + 3*w(t)?
-t**2
Let h(w) = 18443*w**2 + 21*w - 7. Let u(b) = -161849621*b**2 - 184290*b + 61430. Calculate -61430*h(i) - 7*u(i).
-6143*i**2
Let f(b) = 18*b + 60. Let s(j) = j + 4. Let x(i) = f(i) - 15*s(i). Let c(o) = o**2 + 4*o. Let k be (-52)/9 + 4/(-18). Calculate k*x(r) + 4*c(r).
4*r**2 - 2*r
Let h(f) = 29*f - 2. Suppose -10*w - 14 = -3*w, w = c - 4. Let g(q) = 2232*q - 155. Give c*g(m) - 155*h(m).
-31*m
Let k = 7 + -11. Let q(a) = a + 3. Let c be q(k). Let x(b) = 121*b - 56*b - 262 + b**2 + 261 - 65*b. Let p(h) = -7*h**2 + 2*h + 5. What is c*p(n) - 5*x(n)?
2*n**2 - 2*n
Suppose -59*m = -38*m + 17 + 25. Let x = -4 + 6. Let t(z) = -x*z - z - z**3 + 4*z. Let j(g) = 4*g**3 - 2*g. What is m*t(b) - j(b)?
-2*b**3
Let f(p) = -16*p**2 - 6*p - 6. Let a(k) be the first derivative of -75*k**3 - 85*k**2/2 - 85*k - 1537. Give -6*a(h) + 85*f(h).
-10*h**2
Let r(d) = 9*d - 5. Let b(i) be the first derivative of -2*i**2 + 3*i + 398. Give 5*b(j) + 3*r(j).
7*j
Let i(v) be the second derivative of -v**3/3 - v**2 - 4*v - 125. Let o(x) = -3*x - 3. Calculate 8*i(l) - 5*o(l).
-l - 1
Let o(b) = -1200*b**3 - b**2 - 25*b + 212. Let p(f) = 100*f**3 + 2*f - 17. Give 2*o(n) + 25*p(n).
100*n**3 - 2*n**2 - 1
Let v(m) = 19*m**3 - 241*m**2 - 372*m - 6. Let k(f) = -3*f**3 + 32*f**2 + 53*f + 1. Give -15*k(y) - 2*v(y).
7*y**3 + 2*y**2 - 51*y - 3
Let i(p) = -7 - 4 + 7 - 2*p. Let b(r) be the first derivative of -r**2/2 - r + 78. Determine 12*b(x) - 3*i(x).
-6*x
Let d(g) be the first derivative of 4*g**3/3 + 3*g**2 - 2*g + 885. Let j(r) = 7*r**2 + 11*r - 3. Calculate 11*d(t) - 6*j(t).
2*t**2 - 4
Let p(g) = -3*g**3 - g**2 - g - 2. Let m(y) = -6*y**3 + 6*y**2 - 3*y - 4. Determine m(t) - 3*p(t).
3*t**3 + 9*t**2 + 2
Let j(s) = 3*s**3 - 7*s**2 - s. Let i(b) = -32*b**2 + 5464*b**3 - 2*b - 5460*b**3 + 24*b**2. Calculate 5*i(l) - 6*j(l).
2*l**3 + 2*l**2 - 4*l
Let i(j) = -34*j**2 + 5. Let h(a) = -58 - 17*a**2 + 20 + 40. Determine 5*h(x) - 2*i(x).
-17*x**2
Let l(y) = -2*y**3 + 15*y**2 - 54*y - 40. Let u(b) = -b**3 + 16*b**2 - 59*b - 48. What is -6*l(q) + 5*u(q)?
7*q**3 - 10*q**2 + 29*q
Let n = 122 + -121. Let j(p) be the first derivative of -2*p - 3/2*p**2 + 26. Let r(q) = q + 1. Calculate n*r(f) + j(f).
-2*f - 1
Let j(x) = -8*x + 3. Let c(z) = 20*z + 1. Let w(s) = -16*s + 2. Let i(y) = -c(y) - 2*w(y). What is 5*i(v) + 8*j(v)?
-4*v - 1
Let q(j) = -j**3 - j**2 - 12*j - 226. Let m(o) = 2*o**3 + 2*o**2 + 27*o + 452. Calculate -4*m(c) - 9*q(c).
c**3 + c**2 + 226
Let o(p) = 17*p**3 + 15*p**2 - 7*p. Let z = -10838 - -10844. Let m(h) = -9*h**3 - 8*h**2 + 4*h. Determine z*o(d) + 11*m(d).
3*d**3 + 2*d**2 + 2*d
Let s(m) = -9*m + 6. Let t(d) = -7*d + 11. Determine -5*s(g) + 3*t(g).
24*g + 3
Let x(b) = -28*b + 28*b - 35*b + 14. Let f(o) = o - 1. What is -14*f(w) - x(w)?
21*w
Let m(a) = 226*a**2 + 36*a - 11. Let i(l) = -151*l**2 - 23*l + 7. What is -8*i(n) - 5*m(n)?
78*n**2 + 4*n - 1
Let t(w) = -7*w - 466. Let u(c) = 2*c + 2. Calculate -t(o) - 3*u(o).
o + 460
Let q(t) = 20*t + 57. Let v(u) = -40*u - 93. Calculate 5*q(j) + 3*v(j).
-20*j + 6
Let q(t) = -21*t**2 - 13*t + 13. Suppose 3*j - 2*j 