4. Calculate c*u(k) + t(k).
-k**2 + 2*k + 2
Let o(k) = k**2 + 5*k + 2. Let r(s) = -5*s**3 + 14*s + 4. Let n(j) = -2*o(j) + r(j). Let l(u) = -9*u**3 - 3*u**2 + 8*u. Give 3*l(w) - 5*n(w).
-2*w**3 + w**2 + 4*w
Let u(b) be the third derivative of b**3/6 - 1811*b**2. Let v(l) = 9*l + 5. Give -4*u(w) + v(w).
9*w + 1
Let m(r) = -r - 5. Suppose -t - 2*x = -4, t = 4*x + 1 + 3. Suppose -6*l - v = -7*l, -t*v - 24 = 2*l. Let j(s) = -2*s - 6. Determine l*m(i) + 3*j(i).
-2*i + 2
Let q(b) = 323*b**3 + 4*b**2 - 4*b - 10. Let y(d) = -647*d**3 - 7*d**2 + 7*d + 18. Give 7*q(c) + 4*y(c).
-327*c**3 + 2
Let j(o) = -o**3 - 3*o**2 + 219*o - 42. Let g(c) = -c**3 - 2*c**2 + 110*c - 24. Calculate 7*g(h) - 4*j(h).
-3*h**3 - 2*h**2 - 106*h
Let r(n) = -194*n + 10. Let p(k) = -k**3 + 24*k**2 - 47*k + 55. Let h be p(22). Let i(z) = 39*z - 2. Give h*i(f) - 2*r(f).
-41*f + 2
Let k(w) = 146*w - 9558. Let p(o) = -52*o + 3185. Give -5*k(n) - 14*p(n).
-2*n + 3200
Let o(k) be the third derivative of k**6/120 + k**5/60 + 9*k**2. Let n = -35 - -35. Let v(x) = -7*x**3 - x**3 - 6*x**2 + 6*x**3 + n*x**3. Give -5*o(r) - v(r).
-3*r**3 + r**2
Let s(k) = 3 + k - 3 + 1 - k**2. Let w(o) = -3 + 43*o**2 + o**2 - 2 + 10*o**2 - o - 50*o**2. Determine 3*s(y) + w(y).
y**2 + 2*y - 2
Let t(i) be the third derivative of i**5/60 + i**4/24 + i**3/6 - 6*i**2 + i + 32. Let w(y) = 44*y**2 - 3*y - 5. Give -3*t(g) - w(g).
-47*g**2 + 2
Let r(t) = -1312*t**3 + 11*t**2 + 22*t + 73. Let g(a) = -656*a**3 + 6*a**2 + 12*a + 40. Calculate -11*g(k) + 6*r(k).
-656*k**3 - 2
Let m(q) be the first derivative of q - 2. Let l(h) = 12*h + 12. Let o(z) = -6859*z + 6860. Let f be o(1). Give f*l(b) - 12*m(b).
12*b
Let i(g) = -g**3 + 34*g**2 - 115*g - 145. Let l be i(30). Let v(t) = 9*t**2 + 7*t - 2. Let c(k) = -5*k**2 - 4*k + 1. Determine l*c(d) + 3*v(d).
2*d**2 + d - 1
Let p(i) = 44*i**3 - 5270*i**2 - 3*i - 2. Let d(r) = -206*r**3 + 26354*r**2 + 14*r + 10. What is 3*d(u) + 14*p(u)?
-2*u**3 + 5282*u**2 + 2
Let g(s) = 124*s**2 + 302*s + 9. Let n(o) = 56*o**2 + 151*o + 4. Calculate -4*g(l) + 9*n(l).
8*l**2 + 151*l
Let h(q) = 7*q**3 - 2*q**2 - 6*q - 1. Let g(n) = 8*n**3 - n + 1. Determine -5*g(w) + h(w).
-33*w**3 - 2*w**2 - w - 6
Suppose 4*f - 2*w + 514 = 0, -w - w - 494 = 4*f. Let x(b) = -434*b**3 - 63*b**2 + 63*b. Let y(q) = -14*q**3 - 2*q**2 + 2*q. Calculate f*y(j) + 4*x(j).
28*j**3
Let u(f) = 35*f**2 - 134*f - 5. Let h(g) = 22*g**2 - 89*g - 3. What is -8*h(o) + 5*u(o)?
-o**2 + 42*o - 1
Let y(f) = f**2 + 8*f - 1. Let n = 7869 + -7874. Let s(z) be the first derivative of -z**3/3 - 7*z**2/2 + z - 1. Determine n*s(x) - 4*y(x).
x**2 + 3*x - 1
Let b(v) = -2*v**2 + 2*v. Let k(c) = 5*c**3 + 18*c**2 - 262*c. Determine -10*b(y) - k(y).
-5*y**3 + 2*y**2 + 242*y
Let n(o) = -257*o**2 - 14*o + 664. Let h(r) = -110*r**2 - 7*r + 333. What is 7*h(p) - 3*n(p)?
p**2 - 7*p + 339
Let d(v) = -14*v**3 + 601*v**2 + 7. Let k(h) = -3*h**3 - 3*h**2 + 2. Determine d(u) - 4*k(u).
-2*u**3 + 613*u**2 - 1
Let j(f) = 3*f**2 - 7*f + 1. Let o(d) = 119*d**3 - 15*d**2 + 37*d + 3. What is -5*j(n) - o(n)?
-119*n**3 - 2*n - 8
Let j(r) = -3*r**3 - 19*r - 15. Let t(f) = -4*f**3 - 37*f - 28. Determine 5*j(x) - 3*t(x).
-3*x**3 + 16*x + 9
Let h(k) = -15*k**3 + 2*k**2 + 4*k - 1. Let o(y) = 106*y**3 - 15*y**2 - 30*y + 6. Give 30*h(g) + 4*o(g).
-26*g**3 - 6
Let c(w) = -5*w**3 + 2. Let p = -482 - -338. Let g = -142 - p. Let v(d) = 4*d**3 - 3. Give g*v(q) + 3*c(q).
-7*q**3
Let b = -18 - -13. Let k(h) = -h - 4. Let m(l) = l**3 + 15*l**2 - 121*l - 33. Let o be m(6). Let f(c) = 2*c + 8. Give b*k(g) + o*f(g).
-g - 4
Let y(b) = -b + 6. Let l(w) = -2*w + 13. Let j(c) = -6*l(c) + 13*y(c). Let z(g) = 7*g. Give 4*j(t) - z(t).
-11*t
Let m(t) be the second derivative of -t**3/6 + 4*t**2 + 4*t - 11. Let o(p) = 19. Let w(g) = -52. Let y(a) = -11*o(a) - 4*w(a). Determine m(u) + 6*y(u).
-u + 2
Let v(w) = 2*w**2 - 13*w + 36. Let k be v(4). Let z(y) = -4 - 9*y + 2 + k*y - 2*y. Let c(j) = -9*j + 3. Determine 4*c(d) + 7*z(d).
-d - 2
Let a(t) be the third derivative of -95*t**2 + 0 + 0*t - 1/6*t**3. Let i(g) = -g**3 - 1. Calculate 3*a(d) - 3*i(d).
3*d**3
Let n(g) = g**3 + 15*g**2 + 20*g + 305. Let r be n(-15). Let s(q) = 1. Let c(z) = 7*z + 4. Determine r*s(i) - c(i).
-7*i + 1
Let s(h) = -2*h + 7. Suppose -137 = 14*d - 179. Let q(f) = 2*f - 7. Determine d*s(b) + 4*q(b).
2*b - 7
Let g(t) = 7*t**2 + 38. Let j(d) = -29*d**2 - 152. What is -9*g(a) - 2*j(a)?
-5*a**2 - 38
Let v(n) = 12*n**3 - 5*n**2 - 3*n - 5. Let i(u) = 6*u**3 - 2*u**2 - u - 2. Let s be 1/((-6)/(-2988)*6/3). Let h = s - 247. What is h*v(q) - 5*i(q)?
-6*q**3 - q
Let k(j) = -3*j**2 + 9*j + 29. Suppose -5*p + 31 = 11*b, -2*b - 44 = 2*p - 7*b. Let n(l) = -l**2 + 4*l + 15. Determine p*n(q) + 3*k(q).
-2*q**2 - q - 18
Let j(c) = -42*c**2 - 13*c + 29. Let u(v) = -140*v**2 - 41*v + 87. Calculate 7*j(g) - 2*u(g).
-14*g**2 - 9*g + 29
Let y(j) = -4*j. Let g = -10 - -4. Let l be 7 + 1 - (1400/(-20))/14. Let b(i) = -8*i. Calculate g*b(t) + l*y(t).
-4*t
Let t(u) = 33*u - u - 2*u**2 - 20*u - 3 + 0*u**2 + 0. Let v(x) = -2*x**2 + 12*x - 4. Give 4*t(m) - 3*v(m).
-2*m**2 + 12*m
Let u(m) = 30*m**3 - 15*m**2 + 104*m - 12. Let v(n) = -8*n**3 + 4*n**2 - 26*n + 3. What is 3*u(z) + 11*v(z)?
2*z**3 - z**2 + 26*z - 3
Let p(n) = 4*n + 7. Let z(i) = -12273 + 6138 + 6136 + i. Calculate 3*p(u) - 21*z(u).
-9*u
Let i(v) = -7*v**3. Let d(c) = -11*c**3 + 29*c**3 - 24*c**3 - 30*c**3. Let b be -4*(-7 + -2 + 8). Give b*d(u) - 21*i(u).
3*u**3
Let p(j) = -j - 3. Let o(v) = -46*v - 18 + 11 + 44*v. Suppose -35*t + 16 = -54. What is t*o(y) - 5*p(y)?
y + 1
Let d(m) = -969 + 2917 - 975 - m - 974. Let z(r) = 2*r**2 - 3*r + 1. Let x be z(2). Let k(h) = -3*h + 3*h**2 + 2 - 2*h**2 + x*h. Determine -d(u) - k(u).
-u**2 + u - 1
Let l(a) = -6*a**2 + 22*a - 1. Let o(g) = -2*g**2 + 21*g - 1. Determine -3*l(j) + 2*o(j).
14*j**2 - 24*j + 1
Let a(t) = -73*t**3 - 16*t**2 - 17*t - 10. Let g(b) = 98*b**3 + 21*b**2 + 22*b + 13. Calculate 9*a(v) + 7*g(v).
29*v**3 + 3*v**2 + v + 1
Let s(a) = 2*a**3 - 27*a**2 + 11*a - 34. Let t(v) = v**3 - 9*v**2 + 4*v - 9. Give 4*s(p) - 11*t(p).
-3*p**3 - 9*p**2 - 37
Let q(s) = s**2 + 34*s - 1. Let h(o) = 4*o**2 + 67*o + 164. Give -h(a) + 2*q(a).
-2*a**2 + a - 166
Let r(j) = j**3 + j. Let k(t) = -14*t**3 + 3*t + 1. Suppose 177 = -13*p + 138. Calculate p*r(v) + k(v).
-17*v**3 + 1
Let l = 77 + -100. Let v = l + 26. Let g(n) = 3*n + 2*n**2 + v*n**3 - 2*n + n. Let k(m) = m**3 + m**2 + m. Determine 5*g(z) - 10*k(z).
5*z**3
Let u(g) = -11*g**3 - 27*g**2 - 6*g - 20. Let h(p) = -30*p**3 - 79*p**2 - 16*p - 60. Give 3*h(j) - 8*u(j).
-2*j**3 - 21*j**2 - 20
Let f(v) = v**2 + 14*v + 14. Let s(i) = 3*i**2 + 22*i + 27. Give -5*f(a) + 3*s(a).
4*a**2 - 4*a + 11
Let a(m) be the third derivative of m**3/6 + m**2. Let n(z) = z**2 + 11*z + 11. Let i be n(-1). Let h(o) = 129 - 67 - 68 + 3*o. Determine i*h(s) + 6*a(s).
3*s
Let f(w) = 3*w + 7. Let h = 141 - 135. Suppose -h*u + 2*u = -12. Let r = 5 + u. Let g(x) = 5*x + 11. What is r*f(b) - 5*g(b)?
-b + 1
Let x(f) = -7*f + 2832. Let c(v) = 15*v - 5662. What is 4*c(b) + 9*x(b)?
-3*b + 2840
Let j(d) = 213*d**2 - 39*d + 31. Let l(r) = -215*r**2 + 40*r - 30. Let o(k) = -5*j(k) - 4*l(k). Let i(n) = -12*n**2 + 2*n - 2. Give 70*i(b) - 4*o(b).
-20*b**2
Let u(w) = 76*w**3 + 5*w**2 - 18. Let q(y) = -19*y**3 - y**2 + 5. Calculate -9*q(j) - 2*u(j).
19*j**3 - j**2 - 9
Suppose -40 = 4*z - 4*a, 0 = -18*z + 17*z - 5*a + 20. Let r(c) = -38*c**3 - 5*c**2 - 5*c + 5. Let k(i) = 19*i**3 + 3*i**2 + 3*i - 3. Determine z*k(w) - 3*r(w).
19*w**3
Let k(n) = -22 - 11159134*n + 4*n**2 + 2*n**2 + 11159124*n. Let w(b) = -2*b**2 + 3*b + 7. Give 5*k(s) + 16*w(s).
-2*s**2 - 2*s + 2
Let c(y) = -y + 1. Let u(f) = 6*f - 2. Let k(g) be the first derivative of g**4/2 - 29*g**3/3 + 7*g**2 - 2*g + 17. Let n be k(14). Determine n*u(b) - 4*c(b).
-8*b
Let z(m) = -5*m - 6. Let n(v) = 45*v + 55. Let x = -128 - -130. Suppose 4*g = -7*j + 4*j - 185, -x*j = 2*g + 120. Determine j*z(r) - 6*n(r).
5*r
Let z(p) = -4*p**2 - p + 3. Let u(r) = r - 15. Let w be u(17). Suppose -4*c = -3*c - w. Let i(f) = 5*f**2 + 28 + 2*f - f - 31. Calculate c*i(h) + 3*z(h).
-2*h**2 - h + 3
Let m(v) = 13*v**2 + v + 336. Let p(h) = 11*h**2 + h + 334. Calculate -6*m(d) + 7*p(d).
-d**2 + d + 322
Let c(t) = 25