- 1. Let w(y) = 406*y - 409. Let j be w(1). Let n(v) = -25*v - 2. Determine j*n(x) + 8*t(x).
11*x - 2
Let r(h) = -987*h**2 + 3948*h - 2. Let m be r(4). Let v(k) = -k**3 - 6*k**2. Let q(i) = -4*i**2 - 6*i**3 - 18*i**2 - 14*i**2 + 6*i**2. Give m*q(b) + 11*v(b).
b**3 - 6*b**2
Let m(b) = 36*b**2 - 3*b + 3. Let a = 3273 - 3270. Let w(q) = 649*q**2 - 55*q + 55. Calculate a*w(u) - 55*m(u).
-33*u**2
Let a(s) = -8*s**2 - 41*s - 8. Let t(j) = -j**2 - 4*j - 1. What is 2*a(g) - 18*t(g)?
2*g**2 - 10*g + 2
Let l(f) be the second derivative of -f**5/10 - f**4/3 + 3*f**2 + 2*f - 288. Let a(o) = -2*o**3 - 3*o**2 + 7. Determine -6*a(q) + 5*l(q).
2*q**3 - 2*q**2 - 12
Let l(i) = -1732166*i + 1732166*i - 10 - 4*i**3. Let n(c) = c**3 + 1. Determine -2*l(f) - 22*n(f).
-14*f**3 - 2
Let t(y) = -6*y**3 + 18*y**2 - 2*y - 992. Let j(z) = -5*z**3 + 14*z**2 - 2*z - 989. What is -5*j(n) + 4*t(n)?
n**3 + 2*n**2 + 2*n + 977
Let x(f) = -2*f**3 + 9. Let r(a) = -7*a**3 + 3*a + 110. Calculate r(i) - 4*x(i).
i**3 + 3*i + 74
Let v(d) = -2*d**3 - d**2 + 2*d + 1. Let w(p) = 56*p**3 - 4*p**2 + 16*p + 4. Give -4*v(f) + w(f).
64*f**3 + 8*f
Let f(b) = 3*b**3 - 40*b**2. Let o = -7355 - -7357. Let u(s) = s**3 - 13*s**2. Determine o*f(z) - 7*u(z).
-z**3 + 11*z**2
Let y(m) = -3*m**2 + m + 5. Let g(j) = j**2 - 1. Suppose 28*a - 12*a - 41 = -25*a. Calculate a*y(h) + g(h).
-2*h**2 + h + 4
Let p(j) = 15*j**2 + 20*j - 6. Let b(u) = -16*u**2 - 22*u + 8. Give 9*b(k) + 10*p(k).
6*k**2 + 2*k + 12
Let g(u) = -u**3 - 7*u**2 + 6*u - 3. Let d = 29882 + -29871. Let z(f) = 2*f**3 + 13*f**2 - 11*f + 6. What is d*g(w) + 6*z(w)?
w**3 + w**2 + 3
Let g(n) = -1020*n**3 - 30*n**2 - 620. Let f(m) = 236*m**3 + 7*m**2 + 143. Determine -30*f(v) - 7*g(v).
60*v**3 + 50
Suppose -97*f + 126 = -96 - 457. Let y(h) = 27*h - 9. Let p(a) = 26*a - 8. Give f*p(u) - 6*y(u).
20*u - 2
Let a(m) = -m**2 + 687. Let q(r) = 229. Calculate -4*a(d) + 14*q(d).
4*d**2 + 458
Let p(x) = 4*x + 53*x**3 - 4186 + 4186 - 46*x**3. Let h(d) be the first derivative of 2*d**4 + 5*d**2/2 + 1. Determine -4*h(g) + 5*p(g).
3*g**3
Let g(x) = 10*x**3 - 14*x**2 - 9*x - 1. Let h(f) = 9*f**3 - 14*f**2 - 7*f. Give -2*g(d) + 3*h(d).
7*d**3 - 14*d**2 - 3*d + 2
Let w(b) = 3*b**2 + b. Let t(f) = f**3 + 6*f**2 + 5*f - 1. Let x be t(-5). Suppose 57*n - 60*n + 57 = 0. Let l(o) = 29 - n - 10 - o. Calculate x*w(i) - 3*l(i).
-3*i**2 + 2*i
Let q(f) be the second derivative of 5*f**2 - 33*f - 139. Let d(i) = i + 31. Calculate -3*d(g) + 8*q(g).
-3*g - 13
Let b(q) = 54*q + 178. Let z(t) = -7*t + 5. Calculate b(j) + 8*z(j).
-2*j + 218
Let l(c) = -16*c**2 + 11*c + 29. Let q(d) = 5*d**2 - 3*d - 9. Let a(h) = -2*l(h) - 7*q(h). Let m(p) = -3*p**2 - p + 4. Determine 2*a(o) - 3*m(o).
3*o**2 + o - 2
Let m(q) = -116*q - 913. Let d(z) = -99*z - 914. Give -7*d(g) + 6*m(g).
-3*g + 920
Let q(p) = -7*p + 5. Suppose -3*f + 41 = -3*u + 56, -u - 13 = f. Let t(c) = 28*c - 20. Calculate f*q(i) - 2*t(i).
7*i - 5
Let w(m) = -13*m**2 + 8*m + 325. Let j(f) = -16*f**2 + 10*f + 326. What is 3*j(d) - 4*w(d)?
4*d**2 - 2*d - 322
Let h = 417 - 416. Let j be 3/((-64)/(-52) - 1). Let w = -18 + j. Let s(x) = -3*x**2 + 3*x. Let c(p) = -p**2. Determine h*s(n) + w*c(n).
2*n**2 + 3*n
Let u(l) = l - 31. Let b(n) = -895. Give b(z) + 5*u(z).
5*z - 1050
Let m(w) = -13*w + 1. Let c(v) = -24*v + 2997. What is c(a) - 2*m(a)?
2*a + 2995
Let d(x) = -8*x**2 + 3*x. Suppose 30*z + 45 + 123 = 2*z. Let t(s) = -104*s**2 + 40*s. Give z*t(r) + 80*d(r).
-16*r**2
Let p(q) = 7579*q + 5. Let s(k) = -1894*k - 1. Calculate -2*p(c) - 9*s(c).
1888*c - 1
Let b(l) = -11*l + 9. Let p(w) be the first derivative of -5*w**2 + 8*w - 30. Suppose -v + 3*r + 9 = 0, -2*v + 5*r - 2 = 3*r. What is v*b(j) + 7*p(j)?
-4*j + 2
Let h(g) be the first derivative of g**2/2 - 4*g + 3821. Let z(o) be the third derivative of -3*o**4/8 + 11*o**3/2 - 4*o**2. What is 33*h(c) + 4*z(c)?
-3*c
Let f(y) = -998*y**3 - 44*y**2 - 14. Let a(k) = -333*k**3 - 16*k**2 - 5. Give -11*a(q) + 4*f(q).
-329*q**3 - 1
Let v(j) = -7*j - 7*j**2 + 7*j + 5. Let s(w) = -6*w**2 + 4. Suppose 3*i + 23 = u, 74*i - 79*i + 2*u = 42. Determine i*v(q) + 5*s(q).
-2*q**2
Let m(p) = 1. Let f(u) = 151*u. What is f(l) + 5*m(l)?
151*l + 5
Let l(n) = 0*n + 2*n - 4 + 2*n - 3*n. Let b(y) = 27*y**2 - y**3 + 15 - 12*y**2 - 24*y**2 + 2*y. Let u be b(-9). Let p(s) = -2*s + 7. What is u*p(c) - 5*l(c)?
c - 1
Let j be 4/46 - 11658/(-4002). Let n(v) = -7*v**2. Let s(d) be the second derivative of 15*d**4/2 - 6*d. Give j*s(i) + 40*n(i).
-10*i**2
Let b(r) = -14055*r**2 - 6*r + 14. Let q(m) = -70274*m**2 - 29*m + 68. Calculate 29*b(i) - 6*q(i).
14049*i**2 - 2
Let u(p) = 2*p**3 - 13*p**2 - 4*p. Let b(j) = j**2 + j. Let k be (-9)/((-36)/(-2056))*(-2 - -1). Suppose -11*f - 525 + k = 0. Give f*u(t) - 4*b(t).
-2*t**3 + 9*t**2
Suppose -128*b + 363 = -1173. Let k(z) = 6*z - 2. Let u(p) = p**3 - p**2 + 2*p - 1. Let o be u(1). Let v(n) = -n. Give b*v(s) + o*k(s).
-6*s - 2
Let s(l) = -11*l**3 - 13*l**2 + 9. Let w(c) = -10*c**2 + 5*c**3 + 16*c**2 - 2 - 2. Let g = 32 - -10. Let q be (-14)/g + (-38)/3. Calculate q*w(z) - 6*s(z).
z**3 - 2
Let s(r) = 4*r**2 + 2*r. Let d(a) = 23*a**2 + 246*a. Determine d(n) - 5*s(n).
3*n**2 + 236*n
Let b(z) = z**3. Let j(i) be the second derivative of 0 + 0*i**2 + 0*i**4 + 3/10*i**5 + 2*i + 0*i**3. Suppose -7*v + 40 = 3*v. What is v*b(o) - j(o)?
-2*o**3
Let t(k) = -k. Let i(g) = -2*g - 3. Suppose -h + 88 = -0*h - 3*p, -5*h + 2*p + 388 = 0. Suppose -2*m - h = -21*m. Determine m*t(f) - i(f).
-2*f + 3
Let l(x) = 2*x**3 + 3*x**2 - 3*x - 2. Let i(t) = 176*t + 8*t**2 - 5 + 5*t**3 + 198*t + 0 - 382*t. Determine -3*i(u) + 8*l(u).
u**3 - 1
Let g(n) = -19*n + 9. Let m(q) = -30*q + 10. Give 3*g(z) - 2*m(z).
3*z + 7
Let p(t) = t**3 + t**2 + 2*t. Let d = -398 + 404. Let w(k) = -13*k + k**2 + d*k + 6*k + 0*k. Determine -p(x) + w(x).
-x**3 - 3*x
Let y(n) be the third derivative of -7*n**4/24 - 4*n**3/3 + 17*n**2 - 131*n. Let r(l) = -l - 1. Let o = -14 - -9. Let u = -16 - -17. What is o*r(k) + u*y(k)?
-2*k - 3
Let x(f) = -48*f**3 - 5*f + 5. Let y(o) be the first derivative of 2881*o**4/4 + 301*o**2/2 - 301*o + 3296. Calculate 301*x(a) + 5*y(a).
-43*a**3
Suppose -h + 22 = 2*g - g, 54 = 2*g + 4*h. Let o(x) = -9*x - 3. Let u(d) = -26*d - 9. Give g*o(w) - 6*u(w).
3*w + 3
Let d(c) = -4*c**3 + 7*c**2 + 6*c + 5. Let f(n) = -n**3 + 6*n**2 + n + 8. Let g(m) = m**3 - 2*m + 2. Let q(p) = -f(p) + 2*g(p). What is 5*d(i) + 6*q(i)?
-2*i**3 - i**2 + 1
Let g(j) = 3*j**3 - 2*j**2 + j + 3. Let h(n) = 341*n**3 + 11*n**2 - 5*n - 15. What is -10*g(c) - 2*h(c)?
-712*c**3 - 2*c**2
Let t(s) = 3*s**2 - s + 1. Let f be t(1). Let k(n) = -9*n + 3. Let v(i) = -5 - 33*i - 36*i - 36*i - 42*i + 165*i. Calculate f*v(u) + 5*k(u).
9*u
Suppose 127*g + 976 = 5*g. Let a = -9 - -13. Let u(s) = a*s**2 + 2*s - 2 - 9*s**2 + 7. Let w(x) = -2*x**2 + x + 2. What is g*w(h) + 3*u(h)?
h**2 - 2*h - 1
Let w(f) be the third derivative of -f**4/24 + 2*f**2. Suppose -90 + 37 = 19*b - 34. Let j(n) = 4*n - 1. Determine b*j(k) - 6*w(k).
2*k + 1
Let w(r) = 6*r**2 + 17. Let y(n) be the third derivative of 0*n**4 + n**3 + 0*n + 1/30*n**5 + 0 + 7*n**2. Suppose 23*x = 29*x - 102. Calculate x*y(f) - 6*w(f).
-2*f**2
Let k(s) = 1. Let c(g) = 3 + 3 + 3 + 2 + 3 + 2*g**3. What is 2*c(n) - 22*k(n)?
4*n**3 + 6
Let b(a) = -2*a + 4. Let v(k) = 10 - 47*k - 9 - 3 - 5 + 51*k. What is 5*b(z) + 2*v(z)?
-2*z + 6
Let x(w) = w. Let c(n) be the third derivative of -11*n**4/24 + 2*n**3/3 + 339*n**2 + 4*n - 1. Give -c(p) - 5*x(p).
6*p - 4
Let z(g) = -15*g + 15. Let v = -3321 - -3326. Let w(r) = 6*r - 6. Calculate v*z(k) + 12*w(k).
-3*k + 3
Let y(l) = -34868*l + 414. Let j(z) = 8302*z - 99. Determine 46*j(t) + 11*y(t).
-1656*t
Let t(c) = -213*c**3 - 5*c**2 + 6*c - 22. Let n(o) = -216*o**3 - 6*o**2 + 7*o - 25. Give 8*n(b) - 9*t(b).
189*b**3 - 3*b**2 + 2*b - 2
Let q(t) = -2*t - 1. Let s(p) = -546*p - 9. Determine 6*q(l) - s(l).
534*l + 3
Let o(k) = k**2 + 159*k - 35. Let h(x) = 6. What is -6*h(l) - o(l)?
-l**2 - 159*l - 1
Let w be (-2)/4*(-4)/(-1). Let c(z) = 3*z**2 - 4. Let t(s) = -1 + s**2 - 4 + 17 + 2*s**2 - 4 - 11. Give w*c(a) + 3*t(a).
3*a**2 - 1
Let s(d) = 3*d - 481. Let f(k) = -6*k + 519. Determine -2*f(y) - 3*s(y).
3*y + 405
Suppose 0 = -305173*h + 305158*h + 45. Let o(g) = -g + 3.