- 2*v
Let p(m) = m. Let a = -384954 - -384936. Let y(s) be the third derivative of 0*s + 2*s**2 + 1/4*s**4 + 0*s**3 + 0. Determine a*p(w) + 2*y(w).
-6*w
Suppose -690 + 385 = 61*c. Let y(f) = 1394*f**3 + 204*f. Let m(v) = 34*v**3 + 5*v. Give c*y(h) + 204*m(h).
-34*h**3
Let r(h) = 5*h - 35. Let k(i) = 3*i - 18. Let q(d) = 748*d - 2986. Let o be q(4). Give o*r(c) - 11*k(c).
-3*c - 12
Suppose -11*z - 15 = -6*z. Let n(s) = 3*s. Let v be 10/18 + 1408/(-396). Let u(a) = -4*a - 1. Calculate v*u(p) + z*n(p).
3*p + 3
Let g(a) = -14*a**3 + 8*a**2 + 8*a - 6. Let f(s) = s**3 - s**2 - s + 1. Let k be -5 - (8/(-18) - (-56)/72)*-18. Calculate k*g(m) + 8*f(m).
-6*m**3 + 2
Let d(c) = 19*c**3 - c**2. Suppose 132 - 4 = -64*z. Let j(i) = -4*i**3. What is z*d(t) - 11*j(t)?
6*t**3 + 2*t**2
Let n(c) = c + 5069 - 10139 + 5069. Let o(v) = 2*v + 1. Let x be (1/(-3))/(2/(-24)). Let p be (-2)/4 + 6/x. What is p*n(s) + o(s)?
3*s
Let k(c) = 2*c**3 + 2*c + 1. Let g(u) = 31357*u**2 + 3*u + 2 - 31357*u**2 + 3*u**3. Suppose -4*x + 5*f - 3 = 0, x - 3*x = -2*f. Give x*g(w) - 5*k(w).
-w**3 - w + 1
Let w(x) = -15*x**3 + 3*x**2 - 2*x + 3. Let h = 22696 - 22704. Let v(n) = 46*n**3 - 8*n**2 + 5*n - 8. What is h*w(y) - 3*v(y)?
-18*y**3 + y
Let w(h) = h - 6. Let f(i) = -769*i + 35. Give -f(m) - 6*w(m).
763*m + 1
Let s(l) = l**3 - 5*l**2 + l - 11. Let c(j) = 143*j**3 - 144*j**3 - 1 - j + 8*j**2 + 18 - j. What is 5*c(f) + 8*s(f)?
3*f**3 - 2*f - 3
Let j(c) be the first derivative of -1037*c**3/3 + 85*c**2/2 + 85*c + 406. Let b(s) = 37*s**2 - 3*s - 3. Determine 85*b(p) + 3*j(p).
34*p**2
Let m(t) = -t - 1. Let k(w) = -w**2 + w + 7. Let u be k(3). Let r be (u - -1)*2*(-33)/44. Let c(l) = l + 1. Determine r*m(y) - 2*c(y).
y + 1
Let y(n) = 10*n**2 + 124*n + 1. Let w(g) = -8*g**2 - 84*g. Calculate -7*w(r) - 5*y(r).
6*r**2 - 32*r - 5
Let y(z) = -16*z**3 + 5*z**2 - 5. Let d(l) = -289*l - 281. Let q be d(-1). Let x(s) = -24*s**3 + 8*s**2 - 8. Give q*y(o) - 5*x(o).
-8*o**3
Let f(h) = 5*h**2 + h + 3. Let l(t) be the second derivative of 3*t**4/4 + t**3/2 + 5*t**2/2 + 851*t. Give 5*f(k) - 3*l(k).
-2*k**2 - 4*k
Let m(i) = -2*i - 3. Suppose -34*g = -74*g + 42*g. Let h(j) = -3 + 12*j + g - 27*j + 13*j. Calculate -4*h(z) + 5*m(z).
-2*z - 3
Let i(z) be the first derivative of -7/2*z**2 - 81 - 23/3*z**3 + 0*z. Let r(x) = 8*x**2 + 2*x. Determine -2*i(l) - 7*r(l).
-10*l**2
Let i(v) = -101*v**2 + 5*v + 5. Let u(x) = -3888*x**2 + 192*x + 192. Let g be ((-1280)/(-100))/((3/135)/(4/(-12))). Give g*i(o) + 5*u(o).
-48*o**2
Let y(b) = -8*b**2 - 48*b + 6. Let d(h) = 7*h**2 - 1. Determine -3*d(g) - y(g).
-13*g**2 + 48*g - 3
Let h(x) = 105*x**3 - 9*x**2 + 23*x - 10. Let t(d) = -2*d**3 - d**2 + 2*d - 1. Give h(k) - 9*t(k).
123*k**3 + 5*k - 1
Let i(n) = 21*n - 40. Let h(j) = -43*j + 114. What is -3*h(r) - 5*i(r)?
24*r - 142
Let c(v) = -394258597*v + 4133830. Let x(m) = 21745*m - 228. Determine -6*c(n) - 108785*x(n).
21757*n
Let a(u) = 9*u**2 + 2*u - 2. Let k(b) = -18*b**2 - 5*b + 4. Suppose -62 = -5*n - 47. Give n*k(x) + 7*a(x).
9*x**2 - x - 2
Let l(b) = 43*b - 4714. Let y(w) = 19*w - 2354. Calculate -4*l(r) + 9*y(r).
-r - 2330
Let r(g) = 621*g**3 - 161*g + 161. Let q(d) = 2*d**3 - 7*d**2 - 18*d + 89. Let k be q(6). Let j(f) = -23*f**3 + 6*f - 6. Calculate k*j(p) + 6*r(p).
23*p**3
Let s(v) = -7*v - 5 + 6*v + 3. Let q(m) = -1. Suppose -390*k - 29 = -419*k. Give k*s(t) - 5*q(t).
-t + 3
Let s(y) = -14*y**3 + 20*y**2 + 21*y + 169. Let f(p) = -22*p**3 + 32*p**2 + 32*p + 253. Determine 5*f(k) - 8*s(k).
2*k**3 - 8*k - 87
Let i(c) = 4878*c**2 + 2*c. Let h(f) = 29344*f**2 + 13*f. What is 6*h(u) - 39*i(u)?
-14178*u**2
Let x(w) be the third derivative of -w**6/60 + 17*w**5/60 - 5*w**4/6 + w**2 - 1315. Let a(o) = -o**3 + 6*o**2 - 7*o. Calculate -11*a(j) + 4*x(j).
3*j**3 + 2*j**2 - 3*j
Let t(d) = -3*d**3 + 6*d**2 + 4*d + 4. Suppose -3*p = 5*u - 6*p - 126, 2*u = -3*p + 63. Let y(g) = 21*g**3 - 42*g**2 - 27*g - 27. Determine u*t(a) + 4*y(a).
3*a**3 - 6*a**2
Let w(f) = 3*f**2 - 5*f + 18. Let i(r) = -5*r**2 + 8*r - 27. Suppose 0 = -3*u + 6, 4*a + 26 = -4*u + u. Determine a*w(o) - 5*i(o).
o**2 - 9
Let w(c) = -133*c + 2. Let a(p) = 161*p + 3. Let v(o) = -691*o - 14. Let k(z) = -9*a(z) - 2*v(z). Calculate 7*k(y) - 4*w(y).
63*y - 1
Let p(z) = 2*z + 1. Let a(f) = 2*f + 2. Let n be (-6)/(3/(-3 - -6)). Suppose 140 = -10*v + 14*v. Let r be (v/(-21))/(((-1)/3)/1). What is n*p(c) + r*a(c)?
-2*c + 4
Let g = 6 - 8. Let z(d) = d**2 + d + 232592 - 232592. Let t(l) = -6*l**2 - 3*l. What is g*t(f) - 6*z(f)?
6*f**2
Let y(r) = -26*r**2 - 7*r - 812. Let l(n) = 10*n**2 + 3*n + 406. What is 5*l(w) + 2*y(w)?
-2*w**2 + w + 406
Let q(v) = -12*v**3 + 9*v**2 + 5*v - 4. Let l(k) = -k**3 + 2*k**2 + k - 1. Calculate 5*l(r) - q(r).
7*r**3 + r**2 - 1
Let h(u) be the third derivative of -u**6/20 + u**4/12 - 7*u**3/6 - 13*u**2 - 37*u. Let t(j) = -11*j**3 + 4*j - 13. What is -7*h(l) + 4*t(l)?
-2*l**3 + 2*l - 3
Let p(m) = 4*m + 648. Let s(h) = -4*h - 7. Give -p(g) - 3*s(g).
8*g - 627
Let r(t) = 3*t - 1. Let i(q) = -523*q + 5. What is -i(g) - 6*r(g)?
505*g + 1
Let k(p) = 27*p**2 + p. Let m(d) = -80*d**2 - 654*d + 2. Give -3*k(i) - m(i).
-i**2 + 651*i - 2
Let l(i) = 10020*i**3 + 10*i**2 - 90*i - 13. Let v(o) = -2505*o**3 - 2*o**2 + 20*o + 3. Determine 2*l(u) + 9*v(u).
-2505*u**3 + 2*u**2 + 1
Let o(n) = 5*n**2 - n - 11. Let x(f) be the first derivative of -f**3/3 + f**2/2 - f + 11757. Give -o(i) - 4*x(i).
-i**2 - 3*i + 15
Let l(w) = 179*w + 9 + 5 - 182*w - 23. Let m(f) = 6*f + 17. Calculate 5*l(x) + 3*m(x).
3*x + 6
Let r(f) = 9*f**3 - 2*f**2 + 111*f + 31. Let p(d) = 5*d**3 - 2*d**2 + 58*d + 17. Calculate -5*p(y) + 3*r(y).
2*y**3 + 4*y**2 + 43*y + 8
Let v(s) = -70*s**3 - s**2 - 6*s. Let p(l) = -10*l**3 + 2*l**2 - l. Calculate 2*p(w) - v(w).
50*w**3 + 5*w**2 + 4*w
Let n(r) = -40*r**3 + 343*r**2 - 11*r + 13. Let x(a) = 6*a**3 - 57*a**2 + 2*a - 2. What is 2*n(c) + 13*x(c)?
-2*c**3 - 55*c**2 + 4*c
Let w(r) = -4*r - 187. Let h(a) = 7*a + 379. Determine 6*h(p) + 11*w(p).
-2*p + 217
Let c(z) = 11*z - 3. Let n(f) = 17*f + 10. Let u(s) = 3*s + 1. Let i(m) = -n(m) + 6*u(m). Let a be i(9). Let p(k) = -6*k + 2. Determine a*p(j) + 3*c(j).
3*j + 1
Let l(g) = 4*g**3 + 45*g**2 - 19*g + 72. Let b(f) = -9*f**3 - 89*f**2 + 47*f - 144. Determine -2*b(y) - 5*l(y).
-2*y**3 - 47*y**2 + y - 72
Let m(l) = l. Let q = -351 + 710. Let n(s) = -s - q*s**3 + 357*s**3 + 2*s. Determine -3*m(f) + 3*n(f).
-6*f**3
Let f(b) = -2*b**2 - 3*b. Let h(w) = -10*w**2 - 49*w - 7. Let z(g) = -5*g - 1. Let s(x) = -h(x) + 7*z(x). What is -28*f(c) - 6*s(c)?
-4*c**2
Let v(y) = -6*y**2 + 22*y + 28. Let q(c) = -10*c**2 + 24*c + 26. Calculate -2*q(k) + 3*v(k).
2*k**2 + 18*k + 32
Let r(x) = -13*x + 5. Suppose -4*s = -5*f - 29 - 15, -3*s + 2*f = -26. Let g(m) = -1 - 1766*m + 2 + 1747*m + s. What is -5*g(n) + 7*r(n)?
4*n
Let a = 18977 - 18971. Let p(q) = -5*q + 1. Let y(d) = 4*d - 1. Give a*y(r) + 4*p(r).
4*r - 2
Suppose 4*w - 138*d = -136*d - 34, -7 = -d. Let m(k) = -23*k**2 + 5*k. Let q(f) = -23*f**2 + 4*f. Give w*q(o) + 4*m(o).
23*o**2
Let q(b) = -5*b + 31737*b**2 - 31726*b**2 + 4 - 4. Let x(i) = 6*i**2 - 3*i. Give 3*q(d) - 5*x(d).
3*d**2
Let p(s) = s**3 + 4*s**2 + 4*s. Let k(x) be the second derivative of x**5/10 + 3*x**4/4 + 3*x**3/2 + 23*x. Let q = -510 - -501. What is q*p(n) + 4*k(n)?
-n**3
Let q(g) = -24*g + 44. Let k(l) = 8*l - 16. Let n(u) = -17*k(u) - 6*q(u). Let d(i) = -1. Give -5*d(v) - n(v).
-8*v - 3
Let y(s) = 3*s + 4. Suppose 0 = 2*a + 206*a - 1872. Let l(i) = -12*i - 17. Give a*y(c) + 2*l(c).
3*c + 2
Let j(v) = 2*v**2 + 2*v - 2. Let k(i) = -2*i**2 - 3*i + 3. Suppose -13*z + 22*z = 27. Suppose 3 = -z*o - 5*m + 1, -4*o = 2*m - 16. Determine o*j(t) + 4*k(t).
4*t**2
Let w(t) be the first derivative of 1232*t**2 - 132*t + 1997. Let y(a) = -93*a + 5. Calculate -5*w(o) - 132*y(o).
-44*o
Let s(f) = -3*f + 4. Let p(y) = 3 + 6 + 0 - 3*y - 9 + 3. Calculate -6*p(z) + 5*s(z).
3*z + 2
Let m(r) = -7*r**3 + 10*r**2 - 10*r - 3. Let h(j) = 9*j**3 - 8*j**2 + 10*j + 3. Give 4*h(c) + 5*m(c).
c**3 + 18*c**2 - 10*c - 3
Let d(s) = s**2 - 6. Let c(k) = -k**3 - 15*k**2 - 46*k + 55. Let h be c(-8). Let f(o) = -5*o**2 + 25. What is h*d(t) - 6*f(t)?
5*t**2
Let r(m) be the second derivative of m**3/6 - m**2/2 - m + 481. Let l = -7 - -6. L