 35
Let m(h) = -56*h**2 + 3*h + 8. Let a(q) = 170*q**2 - 9*q - 21. Determine -3*a(f) - 8*m(f).
-62*f**2 + 3*f - 1
Let t(a) be the first derivative of -7*a**3/3 - 9*a**2/2 - a - 5735. Let y(c) = -3*c**2 - 4*c. Give 4*t(j) - 9*y(j).
-j**2 - 4
Suppose 510*b - 509*b - 15 = 3*d, 3*d + 21 = 3*b. Let q(s) = 532*s. Let c(a) = -38*a. Determine d*q(z) - 57*c(z).
38*z
Suppose 0 = 3*f - 6*g + 3*g + 57, 4*g = f + 13. Let u(b) = b. Let t(y) = 29*y - 25. Let o be t(5). Let m(d) = 3*d - o + 58 + 62. What is f*u(r) + 6*m(r)?
-3*r
Let o = -70 - -72. Let p(w) = 109 - 107 + o*w - 3*w. Let t(z) be the second derivative of -z**2 - 4*z. Give 3*p(u) + 2*t(u).
-3*u + 2
Let v(o) be the second derivative of 3*o**3 - 13*o**2/2 + 211*o + 2. Let k(n) be the second derivative of n**3/2 - n**2 + n + 9. What is 39*k(m) - 6*v(m)?
9*m
Let z(p) = -5*p + 4. Let l(g) = g + 1. Let t(h) = 3*l(h) + z(h). Let d(x) be the first derivative of x**2/2 - 4*x + 187207. Give 11*d(s) + 6*t(s).
-s - 2
Let y(j) = -2*j**3 + 298*j**2 + 9*j - 6. Let q(l) = -2*l**3 + 297*l**2 + 6*l - 4. Determine -3*q(k) + 2*y(k).
2*k**3 - 295*k**2
Let a be (-7)/((-156)/(-120) - 2) - 5. Let g(n) = -116*n**2 - n + 5. Let j(z) = -174*z**2 - 2*z + 8. What is a*j(q) - 8*g(q)?
58*q**2 - 2*q
Let n = 70 + -72. Let m be n/(-8)*1 + (-443)/(-4). Let f = 114 - m. Let r(i) = i - 2. Let l(u) = -2*u + 2. What is f*l(c) + 4*r(c)?
-2*c - 2
Let h(k) = -8*k - 9. Let a(o) = -o**2 + o - 1. What is -2*a(y) + h(y)?
2*y**2 - 10*y - 7
Let n = -76 + 91. Suppose -n*i - i = 64. Let s(d) = d**3 - 2*d**2 + 2. Let u(j) = j**3 - j**2 + 2. What is i*s(b) + 5*u(b)?
b**3 + 3*b**2 + 2
Let r(a) = -2*a - 6 + 0 + 0. Let q(t) be the first derivative of 3*t**2/2 + 7*t - 1086. What is -5*q(s) - 6*r(s)?
-3*s + 1
Let u(d) = -92*d - 287. Let m(h) = -212*h - 574. What is 3*m(y) - 7*u(y)?
8*y + 287
Let s(c) = c - 3. Suppose 8*k - 3*k = -5*j + 40, 4*k = 5*j - 13. Suppose 5 - 20 = -j*o. Let x = -12638 + 12654. Let i(a) = -6*a + 16. What is o*i(b) + x*s(b)?
-2*b
Let a(y) = 4*y - 4. Let t = 189 - -21. Let j = t + -213. Let h(z) = 9*z - 7. What is j*h(x) + 7*a(x)?
x - 7
Let w(c) = 2*c**2 + c - 2. Let o(a) = 13*a**2 + 66*a - 62. Give -o(r) + 7*w(r).
r**2 - 59*r + 48
Let u(n) = 1105*n. Let b(w) = 1105*w. Determine 3*b(h) - 4*u(h).
-1105*h
Let a(d) be the third derivative of -29*d**4/24 - d**3/3 + 2104*d**2. Let y(r) = 1422*r + 99. Calculate -99*a(v) - 2*y(v).
27*v
Let g(s) = -5*s**2 + 8*s - 22. Let b(a) = 2*a**2 - 3*a + 7. Let h(n) = 5*n**3 - 42*n**2 + 49*n - 8. Let m be h(7). Give m*b(o) - 3*g(o).
-o**2 + 10
Let u = -3172 - -3177. Let m(n) = -2*n - 2. Let q(d) = d. Determine u*q(c) - m(c).
7*c + 2
Let j(x) = -180*x**3 - 13. Let c(a) = -91*a**3 - 7. Determine 11*c(p) - 6*j(p).
79*p**3 + 1
Let l(w) = -w**3 - 5*w**2 + 20*w + 4. Let t(j) = j**2 - j - 1. Suppose 43*h = 396 - 353. What is h*l(y) + 4*t(y)?
-y**3 - y**2 + 16*y
Let f(b) = 4*b**3 - 3*b + 17. Let i(h) = 2*h**3 - h**2 - 2*h + 19. What is -2*f(q) + 3*i(q)?
-2*q**3 - 3*q**2 + 23
Let x(n) = -23*n**3 - 4*n**2 + 9*n - 13. Let c(v) = 0 + 2*v - 3 - 5*v**2 - 5*v**3 - v**3 - 32*v**2 + 36*v**2. Give -9*c(o) + 2*x(o).
8*o**3 + o**2 + 1
Let g(h) = 585 + 576 + 582 - 1744. Let d(v) = -v**2 + 3*v - 4. Calculate -d(o) + 6*g(o).
o**2 - 3*o - 2
Let d(q) = 10*q. Let j(f) = 119*f. Let w(k) = -8*k - 21. Let i be w(-7). Let z be (-1)/(((-5)/i)/((-30)/6)). Give z*d(l) + 3*j(l).
7*l
Let o(c) be the third derivative of -c**4/6 - c**3 - 424*c**2 - 7*c. Let k(m) = 4*m + 5. What is -3*k(p) - 4*o(p)?
4*p + 9
Let g(f) = f**3 - f + 10. Let h(u) = -28*u**3 + 4*u - 59. What is 5*g(x) + h(x)?
-23*x**3 - x - 9
Let u(y) = 108*y - 264. Let c(s) = -37*s + 92. Let r(j) = 8*c(j) + 3*u(j). Let w(b) = b - 1. What is -r(m) + 56*w(m)?
28*m
Let f(z) = -2*z**3 + 3*z**2 - 3263*z + 35. Let i(n) = n**3 - n**2 + 1088*n - 13. Calculate -3*f(x) - 8*i(x).
-2*x**3 - x**2 + 1085*x - 1
Let y(i) = 26*i**2 - 5. Let u(o) = 315*o - 969. Let d be u(3). Let j(v) = -129*v**2 + 24. Calculate d*y(x) - 5*j(x).
21*x**2
Let z(c) = 233*c - 3496. Let h be z(15). Let i(j) = -3*j - 3. Let r(a) = 1. Calculate h*i(l) - 3*r(l).
3*l
Let j = -10 + 5. Suppose 4*h = 3*z - 14, 14*h - 10*h + 20 = 4*z. Let k(f) = 7*f - 3. Let q(u) = 6*u - 2. Give j*k(i) + z*q(i).
i + 3
Let v(l) = 14114*l**2 + 3*l + 111. Let f(k) = 70570*k**2 + 14*k + 518. Give -3*f(d) + 14*v(d).
-14114*d**2
Let n(d) = 22*d**2 + 20*d + 2*d - 3 - 17*d**2 - 13*d. Let k(v) = -2*v**2 - 4*v + 1. Give -9*k(z) - 4*n(z).
-2*z**2 + 3
Suppose -7 = -5*s + 8. Let a(l) = -l + 5. Let b(j) = 380*j + 143. Let q(i) = -353*i - 132. Let o(t) = 13*b(t) + 14*q(t). Give s*o(d) - 7*a(d).
d - 2
Suppose 272*t - 206*t = 330. Let w(p) = -38*p - 4. Let g(y) = 19*y + 2. What is t*g(v) + 2*w(v)?
19*v + 2
Suppose -3*p - 2*v = -6, -5*v + 2*v = 0. Let s(z) = z - p + 2. Let r be ((-7)/((-315)/6) - 64/30)/1. Let d(b) = 2*b. Determine r*d(u) + 3*s(u).
-u
Let p(l) = -6*l**3 - 8*l**2 - 99*l - 219. Let j(v) = v**3 + 2*v**2 + 22*v + 55. What is 9*j(t) + 2*p(t)?
-3*t**3 + 2*t**2 + 57
Let u(p) = -3*p**3 + 9*p - 9. Let v(m) = -m**3 - 23*m + 87. Let s be v(3). Let q(r) = 2*r**3 - 4*r + 4. Give s*q(y) - 4*u(y).
-6*y**3
Let k(r) = -180134152*r**2 + 120901*r. Let g(y) = 20859*y**2 - 14*y. Give -120901*g(m) - 14*k(m).
4169*m**2
Let o(t) = 3*t**3 + 12*t**2 - 34*t - 12. Let a(k) = -4*k**3 - 10*k**2 + 37*k + 10. What is -6*a(z) - 5*o(z)?
9*z**3 - 52*z
Let o(m) = 22*m - 14. Let d(c) be the third derivative of -c**3/6 + 3235*c**2. Calculate -28*d(j) + 2*o(j).
44*j
Let j(a) = 472*a**3 + 13*a**2 + a. Let q(i) = 473*i**3 + 9*i**2 + 2*i. Calculate -2*j(w) + 3*q(w).
475*w**3 + w**2 + 4*w
Let s(t) = -2*t - 13. Let o(q) = 3*q + 26. Suppose 4*l + 8 = 3*m - 8*m, 2*m = 6*l + 50. What is l*s(u) - 4*o(u)?
2*u - 13
Let b(m) = -3*m. Let c(r) = 6*r. Let z(q) = 7*b(q) + 4*c(q). Let l(d) be the third derivative of -5*d**4/24 - d**2. Calculate 4*l(o) + 5*z(o).
-5*o
Let i(u) = -5*u**2 - u + 2. Let m(w) = -4*w**2 - w + 2. Let q(v) = v**3 + 51*v**2 - 106*v + 6. Let l be q(-53). Give l*m(h) - 5*i(h).
h**2 - h + 2
Let n(u) = -5*u**3 + 2*u**2 - 2*u. Let c(z) be the first derivative of -21*z**4 + 35*z**3/3 - 35*z**2/2 - 746. Give 2*c(m) - 35*n(m).
7*m**3
Suppose -68*p = 299 + 41. Let h(c) = 3*c**2 - 5. Let w(q) = -3*q**2 + 4. Determine p*h(n) - 6*w(n).
3*n**2 + 1
Let h(z) be the third derivative of -6*z**3 - 82*z**2 - 3/2*z**4 + 0 + 0*z - 3/5*z**5 + 3/8*z**6. Let p(j) = j**3 - j**2 - j - 1. Determine h(a) - 36*p(a).
9*a**3
Let y(l) = 59200*l - 175. Let f(v) = -4933*v + 14. Give 25*f(i) + 2*y(i).
-4925*i
Let a(v) = -v**2 - v - 11. Let d(k) = 686*k**2 - 4*k - 41. Determine -4*a(j) + d(j).
690*j**2 + 3
Let r(j) = 14*j**2 - 11*j + 1069. Let l(h) = 5*h**2 - 4*h + 355. Calculate 11*l(i) - 4*r(i).
-i**2 - 371
Suppose 0 = 3*t + 2*h + 2, -61*t + 3*h = -58*t - 18. Let f(n) = 5*n**3 - 6*n**2 - 5. Let j(k) = -k**3 + k**2 + 1. What is t*f(a) + 11*j(a)?
-a**3 - a**2 + 1
Let z(j) be the third derivative of -j**4/24 - j**3 + 2*j**2. Let w(y) be the second derivative of -y**3/3 - 5*y**2/2 - y - 712. Calculate -4*w(n) + 3*z(n).
5*n + 2
Let l(y) = 10. Let d(o) = 17*o - 25. Give d(n) + 3*l(n).
17*n + 5
Let w(f) = -f**3 + 2*f**2 + 2. Let s = -5674 - -5688. Let b(z) = 2*z**3 - 7*z**2 - 7. Determine s*w(q) + 4*b(q).
-6*q**3
Let h(f) = -159*f + 238. Let o(c) = 89*c - 118. Give -3*h(i) - 5*o(i).
32*i - 124
Let a(f) = -4*f**2 - f - 2. Let y = -378 - -380. Let s(n) = -21 + 5 + 6 - 2*n + 3*n**2 - 12*n**y + 7. What is 5*a(v) - 2*s(v)?
-2*v**2 - v - 4
Let n = -2412 - -2413. Let g(o) = -3*o + 10. Let x(l) = l - 1. What is n*g(z) + 6*x(z)?
3*z + 4
Let q(x) = 37*x**3 + 9*x**2 - 4*x + 12. Let v(n) = -147*n**3 - 34*n**2 + 16*n - 46. Calculate -15*q(k) - 4*v(k).
33*k**3 + k**2 - 4*k + 4
Let w(k) = 2*k**3 + 2*k**2 + k + 1. Let p(m) = 788*m**3 + 24*m**2 + 12*m + 12. Give p(s) - 12*w(s).
764*s**3
Let h(m) = -290*m - 1731. Let l be h(-6). Let t(n) = 8*n + 11. Let p(r) = -r - 1. Let y(o) = 10*o + 11. Let s(q) = -6*p(q) - y(q). Determine l*s(f) + 4*t(f).
-4*f - 1
Let w(a) = 6 - 5*a**2 - 13*a - 2*a**2 + 3*a**2 - 13 - 12. Let b(c) = -2*c**2 - 6*c - 9. Give -9*b(x) + 4*w(x).
2*x**2 + 2*x + 5
Let f(l) = 11*l. Let d(y) = -9*y**3 + y**2 + 49*y - 4. Calculate d(t) - 4*f(t).
-9*t**3 + t**2 + 5*t - 4
Let t(i) = -71*i**2 - i + 2. Let s(p) = -217*p*