 6*d(g).
g**3 + g**2 - 3
Let c(l) = -3*l + 5. Let h = -22468 - -22466. Let k(j) = j - 1. Calculate h*k(b) - c(b).
b - 3
Let o(f) = 18*f**2 - 39. Let l(i) = -i**2 + 2. Suppose -28*b + 31*b - 12 = 0. Let w(v) = -10*v**2 + 43*v - 6. Let n be w(b). Determine n*o(m) + 117*l(m).
-9*m**2
Let q(y) = 143*y - 3. Let l(u) = 977*u - 22. Let d(k) = -6*l(k) + 41*q(k). Let j(w) = w + 8. Give 3*d(o) - 4*j(o).
-o - 5
Let a(q) = 91*q**2 + 77. Let z(u) = 23*u**2 + 4*u + 2. Let o(y) = 65*y**2 + 11*y + 7. Let t(c) = 4*o(c) - 11*z(c). Give 6*a(b) - 77*t(b).
7*b**2
Let a(x) be the third derivative of 3*x**5/5 + 5*x**3/6 + 53*x**2 - 11*x. Let v(n) = -1333*n**2 - 186. What is 186*a(u) + 5*v(u)?
31*u**2
Let a(s) = -5*s + 5 - 130*s**2 - 133*s**2 - 6*s**3 + 381*s**2 - 123*s**2. Let v(w) = 5*w**3 + 4*w**2 + 4*w - 6. Calculate -4*a(m) - 5*v(m).
-m**3 + 10
Suppose -652*t = -606*t + 414. Let q(l) = -12*l - 21. Let i(a) = -3*a - 5. Give t*i(d) + 2*q(d).
3*d + 3
Let z(g) = -1654 + 1660 - 7*g + 3*g + g + g. Let j(u) = 5*u + 13. Let t(c) = -c - 3. Let v(d) = 2*j(d) + 9*t(d). What is -5*v(p) - z(p)?
-3*p - 1
Suppose -56*p = 56*p - 112. Let c(b) = -8*b**3 + b**2 + b - 2. Let q(a) = a**2 + a + 1. Calculate p*c(u) - q(u).
-8*u**3 - 3
Let h(x) = 6*x**3 + 5*x**2 - 11. Let o(c) = 7*c**3 + 6*c**2 - 11. Suppose 192 = 437*i - 469*i. Determine i*h(d) + 5*o(d).
-d**3 + 11
Suppose 0*p + 59 = p - 5*r, -5*p + 2*r + 180 = 0. Let z(u) = -p*u**2 + 4*u - 4*u + 35*u**2. Let v(k) = 7*k**3 - 2*k**2. Give -v(a) - 2*z(a).
-7*a**3
Let t(f) = 1618*f - 24. Let x(l) = 4852*l - 68. What is -17*t(z) + 6*x(z)?
1606*z
Let r(k) = 4*k**2 + 2*k + 3. Let q(s) = 78*s**2 + 13*s + 12. Give q(p) - 6*r(p).
54*p**2 + p - 6
Let q(j) = 4*j**2 + 5 + 2*j - 1 - 3*j**2. Let p(n) = 2*n**3 - 258*n**2 + 1238*n + 244. Let o be p(124). Let l(u) = -2*u**2 - 3*u - 5. Calculate o*q(b) - 3*l(b).
2*b**2 + b - 1
Let y(o) = -o**3 - 143*o**2 - 5*o - 3. Let w(h) = -h**2 + 3*h - 3. Calculate -w(f) + y(f).
-f**3 - 142*f**2 - 8*f
Let n(i) = -429*i - 11148. Let m be n(-26). Let t(y) = -y**3 - 5*y**2 - 7*y - 6. Let c(s) = -s**3 - 6*s**2 - 8*s - 7. Calculate m*t(d) - 5*c(d).
-d**3 - 2*d - 1
Let w(k) = 5*k**2 + k - 12. Let r(o) = -6*o**2 - 2*o + 13. Suppose -3*u + 23*t - 28*t - 31 = 0, -5*t - 27 = u. Determine u*r(x) - 3*w(x).
-3*x**2 + x + 10
Suppose 39*g - 49*g + 2430 = 0. Let x(z) = g*z - 383*z + 63 + 357*z. Let r(q) = 7*q + 2. Determine 63*r(a) - 2*x(a).
7*a
Let g(z) = 362*z + 78. Let u(c) = 364*c + 61. Give 4*g(r) - 5*u(r).
-372*r + 7
Let i(f) = 1395*f**2 - 11. Let v(c) = -1400*c**2 + 8. Give 3*i(h) + 4*v(h).
-1415*h**2 - 1
Let g(q) = 9*q**2 + 5*q - 17. Let o(u) = 2*u**2 - 4. Calculate g(w) - 4*o(w).
w**2 + 5*w - 1
Let s(h) = 251*h**3 + 11*h**2 - 154*h - 715. Let f(b) = -50*b**3 - 2*b**2 + 28*b + 143. Give 11*f(v) + 2*s(v).
-48*v**3 + 143
Let x be -1 + 3/(-6)*-10. Let z(s) be the third derivative of 7*s**3/6 - 127*s**2 + s. Let a(m) = m**2 + 13. Calculate x*a(t) - 7*z(t).
4*t**2 + 3
Let x(s) = 10*s**2 + 11*s + 31. Let k(o) = -133*o - 2*o**2 - 6 + 47*o + 56*o + 28*o. Give -11*k(q) - 2*x(q).
2*q**2 + 4
Let b(s) = -s. Let u(q) = 2. Let g(p) = -3*b(p) + 3*u(p). Let o(h) = 2*h + 5. Let x be (6/(-2))/(-8*(-18)/192). Let n = 11 + -6. What is n*o(k) + x*g(k)?
-2*k + 1
Let n = 261 - 256. Let r(g) be the third derivative of 5*g**4/12 - g**3/6 + 24*g**2. Let u(j) = -9*j + 1. Calculate n*r(i) + 6*u(i).
-4*i + 1
Let u(m) = 9600*m + 57. Let k(f) = 5116800*f + 30400. What is 3*k(l) - 1600*u(l)?
-9600*l
Suppose -15 = -3*f + 3*p, 3*f - 22 = -2*p - 32. Suppose f*j - 186 = 31*j. Let l(n) = 14*n + 15. Let d(u) = 7*u + 7. Give j*l(v) + 13*d(v).
7*v + 1
Let z(q) = -2*q - 6. Let k(i) = 1. Let w be 25 + (-14 - -9) + 10. Determine w*k(s) + 5*z(s).
-10*s
Let m(g) = -2*g - 8. Let p be m(-7). Let o(d) = 2*d**2 + 4*d. Suppose 16 = -4*l + 12*l. Let z(a) = -104*a**2 + 214*a**2 - 111*a**l - 2*a. Give p*o(u) + 11*z(u).
u**2 + 2*u
Let l(q) = q - 1. Suppose 0 = 2*c - 3*g - 15, c + 0*c - 13 = -4*g. Let h(w) = 8 + c + 20 - 35 + 10. Determine h(o) + 12*l(o).
12*o
Let v(l) be the second derivative of 2*l**3/3 + l**2 + 77*l. Let k(r) = r. Calculate 2*k(y) - v(y).
-2*y - 2
Let g(v) = -v + 9. Let b be 18/(-12)*(7 - 1)/(-3). Let i(c) = 1. Calculate b*g(k) - 21*i(k).
-3*k + 6
Let u(l) = -l - 4. Let h(m) = -108*m**2 - 11*m - 75. Give h(q) - 11*u(q).
-108*q**2 - 31
Let a(n) = -5. Let t(w) = 9. Let m(c) = 2*a(c) + t(c). Let l(j) = 4*j - 10. What is 4*l(z) - 40*m(z)?
16*z
Let u(n) = -26*n**2 + 11*n - 8. Let b(v) = -4*v + 136 + 9*v**2 - 43 - 51 - 39. What is -17*b(h) - 6*u(h)?
3*h**2 + 2*h - 3
Suppose 120*g - 95*g + 122*g = 735. Let v(b) = -4*b**3 + 3*b**2 - b. Let p(x) = -x**3. Let f = -10 - -9. Calculate f*v(r) + g*p(r).
-r**3 - 3*r**2 + r
Let c(q) = 3*q**2 - 2*q - 18. Let t(x) = 30 - 949*x**2 - 951*x**2 + 7 + 5*x + 1893*x**2. Calculate 9*c(f) + 4*t(f).
-f**2 + 2*f - 14
Let d(u) = 7*u**3 + 3*u**2 - u + 3. Let b(n) = 819*n - 20*n**3 + 216*n**2 - 226*n**2 - 815*n - 10. Give 3*b(l) + 10*d(l).
10*l**3 + 2*l
Let f(y) be the first derivative of -65*y**3/3 + 7*y**2/2 + 334. Let b(d) = -32*d**2 + 3*d. Calculate 7*b(m) - 3*f(m).
-29*m**2
Let o(n) = -n + 6. Let q = -30490 - -30491. Let c(l) be the third derivative of l**3/6 - l**2. Give q*o(u) - 5*c(u).
-u + 1
Let p(s) be the first derivative of -19*s**3/3 - 2. Let w = 22780 - 22785. Let n(o) = -9*o**2. What is w*n(h) + 2*p(h)?
7*h**2
Let a(f) = -15*f**2 + 11*f. Let r(t) = -4*t**2 + 3*t. Let l = 1057 + -1079. Give l*r(y) + 6*a(y).
-2*y**2
Let y(d) = 2*d**2 - 331*d - 5. Let j(o) = -2*o**2 + 336*o + 4. Calculate 7*j(f) + 6*y(f).
-2*f**2 + 366*f - 2
Suppose -5*j + 37*y - 32*y + 35 = 0, 4*j - 2*y - 16 = 0. Let i = -5 - -4. Let w = 1 - i. Let b(s) = -1. Let d(r) = -r + 3. Calculate j*d(c) + w*b(c).
-c + 1
Let x(y) = -13*y - 8. Let a(i) = i**3 + i**2 + 8*i + 21. Let m be a(0). Let v(f) = -3*f + 19 - 42 + m. Give -9*v(r) + 2*x(r).
r + 2
Suppose -18*z - 40*z + 116 = -58. Let h(r) = -r**2. Let b(o) = 14*o**2. Give z*b(x) + 3*h(x).
39*x**2
Let z(s) = -2*s**2 + 2*s - 2. Let t = 14 + -8. Let d(c) be the first derivative of 2*c**3/3 - 3*c**2/2 + 2*c + 824. What is t*z(u) + 5*d(u)?
-2*u**2 - 3*u - 2
Let v(u) = -6*u**3 + 621*u**2 - 5. Let t(c) = -2*c**3 + 207*c**2 - 2. Give -8*t(s) + 3*v(s).
-2*s**3 + 207*s**2 + 1
Let i(o) = o**2 + o + 1. Let d(v) = 10*v**3 - 50*v**2 - 50*v - 50. Let y(t) = -t**3 - 21*t**2 - 85*t - 76. Let x be y(-16). Give x*d(b) + 200*i(b).
40*b**3
Let c be (-6)/(-3) - 2 - -16. Let y(b) = -5*b + 90. Let h(m) = -m + 20. Let g(a) = -9*h(a) + 2*y(a). Let q(t) = -20*t. Calculate c*g(o) - q(o).
4*o
Let u(a) = 3*a - 2. Let r(w) = 3*w - 2. Let t(j) = -10*j + 357. Let i be t(36). What is i*r(k) + 4*u(k)?
3*k - 2
Let q(j) = -266*j + 20. Let f(t) = 533*t - 33. What is -3*f(r) - 5*q(r)?
-269*r - 1
Let c(v) be the first derivative of 3*v**4/4 + 3*v**2 + 11*v + 1498. Let p(t) = t**3 + 2*t + 4. What is -4*c(y) + 11*p(y)?
-y**3 - 2*y
Let k(w) = 14835*w + 645. Let q(j) = -21*j - 1. What is 2*k(r) + 1290*q(r)?
2580*r
Let m = 6 + -1. Let u(f) = 50049*f - 100113*f - f**2 + 50063*f. Let c(w) = w. Calculate m*c(k) + 5*u(k).
-5*k**2
Let z(t) = 4*t**2 - 1. Let l(i) = 14*i**2 - 39*i**2 - 3 + 15*i**2 + 22*i**2. What is -6*l(y) + 21*z(y)?
12*y**2 - 3
Let f(t) = t**3 - t**2 - t + 1. Suppose -43*q = -52*q - 3213. Let z = q - -353. Let n(y) = y**3 + 4*y**2 + 4*y - 4. Give z*f(o) - n(o).
-5*o**3
Let z(r) = -617*r**2 + 63 - 62 + r + 3*r**3 + 0*r**3 + 616*r**2. Suppose -3*j - 3 = -0. Let i(h) = -h**2 + h + 1. What is j*i(v) + z(v)?
3*v**3
Let b(n) = n**3 - 8*n**2. Suppose 17*u - 10*u = 21. Let y(v) = 8*v**3 - 12*v**3 - v**3 + 6*v**3 - v**2. Determine u*y(m) - b(m).
2*m**3 + 5*m**2
Let n(y) be the first derivative of -3*y**4/4 - 2*y**3/3 + 3*y**2/2 + 4*y - 1382. Let c(v) = -4*v**3 - 3*v**2 + 3*v + 5. Determine 4*c(a) - 5*n(a).
-a**3 - 2*a**2 - 3*a
Let i(k) = 8*k**2 - 127*k + 23. Let b(r) = -16*r**2 + 258*r - 40. Determine -4*b(v) - 7*i(v).
8*v**2 - 143*v - 1
Let t(h) be the third derivative of h**3/3 + 3*h**2 + 197. Let f(k) = k - 3. Determine 3*f(a) + 4*t(a).
3*a - 1
Let v(q) = -4*q**3 + 63*q - 11. Let b(f) be the second derivative of -f**5/20 + 8*f**3/3 - 3*f**2/2 + 1214*f + 2. Determine 22*b(t) - 6*v(t).
2*t**3 - 26*t
Let q = -3032 + 3034. Let i(k) be the second deriv