. Determine 9*i(l) + 4*j(l).
21*l - 1
Let d(n) be the second derivative of n**7/90 + 7*n**4/2 + 121*n. Let b(j) be the third derivative of d(j). Let r(u) = -9*u**2. Determine -5*b(y) - 16*r(y).
4*y**2
Let z(s) = 921*s**2 - 136*s + 2. Let u(i) = 1840*i**2 - 306*i + 5. What is -4*u(m) + 9*z(m)?
929*m**2 - 2
Let d(y) = -18179240*y**3 - 86326*y**2 - 647445. Let u(f) = 2527*f**3 + 12*f**2 + 90. Determine -6*d(r) - 43163*u(r).
2539*r**3
Let w(r) be the second derivative of -3*r**2/2 + 12044*r. Suppose o = -2*o + 15. Let t(z) = -z - 4. Calculate o*t(m) - 6*w(m).
-5*m - 2
Let m(i) = -i**3 - i - 1. Let o(a) = a**2 + a - 459. Let y be o(21). Let k(w) = -4 - 5*w**3 + 0*w**2 - 3*w - 5*w**2 + 10*w**2. What is y*m(c) - k(c)?
2*c**3 - 5*c**2 + 1
Let x(v) = -v**2 + 2*v + 2. Let t = 143 + -59. Suppose -21*h + 0*h = -t. Let m(u) = u**2 - 3*u - 2. Determine h*m(b) + 5*x(b).
-b**2 - 2*b + 2
Suppose 10 = 3*w + 5*p - 0*p, 0 = 5*w - 2*p + 35. Let n(q) = 645*q**2 - 86*q + 86. Let i(m) = 38*m**2 - 5*m + 5. Calculate w*n(g) + 86*i(g).
43*g**2
Let v(m) = -3*m**2 - 7*m + 1. Suppose 8*x - 81 = -129. Let y(t) = t**2 + t. Suppose 30*a + 22 = 8*a. Calculate a*v(k) + x*y(k).
-3*k**2 + k - 1
Let c(l) be the second derivative of l**5/20 + l**4/12 - l**3/6 + 29*l + 58. Let f(d) = 14*d**3 + 2*d**2 - 3*d. Give 2*c(w) - f(w).
-12*w**3 + w
Let b(d) = -2*d - 1. Let n be b(-1). Let f(z) be the second derivative of -3*z**4/4 - 6*z**3 - 4884*z. Let q(k) = -k. What is n*f(p) - 36*q(p)?
-9*p**2
Let h(x) = x**3 + x + 1. Let p(l) = l**3 + 6*l + 3. Suppose 2*b = -5*g + 39, b - 2*g = -6*g + 24. Suppose 0 = 4*f - 0*f - b. Calculate f*h(v) - p(v).
2*v**3 - 3*v
Let v(m) = 79*m - 15. Let i(b) = 121*b - 21. What is -5*i(k) + 7*v(k)?
-52*k
Let h(v) = -v**3 + 16*v**2 - 3*v + 68. Let y be h(16). Suppose 2*z - 18 + y = 0. Let k(p) = -p**3 - 5. Let m(n) = n + 1. What is z*k(x) - 2*m(x)?
x**3 - 2*x + 3
Let k(j) = 4*j**3. Let c(y) = 10*y**3 - 3*y**2 + y - 2. Calculate c(v) - 3*k(v).
-2*v**3 - 3*v**2 + v - 2
Let t(p) = -11*p + 2. Let n(k) = 22*k + 56. Determine -n(i) - t(i).
-11*i - 58
Let w be ((-8)/24)/(2/(-36)). Suppose 4*p + h = 1, p - 3*h - 7 + 23 = 0. Let s(a) = -a**3 + 1. Let j(t) = -5*t**3 + 9. Calculate p*j(f) + w*s(f).
-f**3 - 3
Let z(h) = -17559*h - 35. Let l(s) = 123150049*s + 245476. What is -5*l(u) - 35068*z(u)?
8767*u
Let j(q) = 59*q**3 - 13*q**2 + 6*q. Let z(y) = 59*y**3 - 12*y**2 + 8*y. Give 4*j(b) - 3*z(b).
59*b**3 - 16*b**2
Let n be -4 + (-2 - 3)/5. Let j(i) = 754*i**2 - 374*i**2 + 1 - 379*i**2. Let s(k) = 9*k**2 + 8. Give n*s(z) + 40*j(z).
-5*z**2
Let m be ((-6)/4 - 50/4)/(-1). Suppose -7*w = -m*w - 28. Let f(y) = -6*y - 3. Let t(r) = -5*r - 2. Let b be 2 - ((-1 - -4) + -4). Determine b*f(j) + w*t(j).
2*j - 1
Let r(q) = q + 19*q + 7*q - 23*q. Let y(k) = -5*k - 1. Give -3*r(l) - 4*y(l).
8*l + 4
Let s(p) = -p - 1. Let v be s(-1). Let q(c) = -3 + v + 1 + 1. Let o be 3/15 + (-132)/110. Let l(i) = -3*i**2 - 2. Calculate o*l(m) + 2*q(m).
3*m**2
Let l(s) = 3*s**2 - 3*s - 5. Let u(r) = -2*r**2 + 2*r + 3. Suppose 5*k + 4*g = 51, -107*k - g - 17 = -110*k. Determine k*u(w) + 4*l(w).
-2*w**2 + 2*w + 1
Let k(u) = 11*u**2 + 229*u - 1. Let w(a) = 19*a**2 + 453*a - 1. Give -5*k(o) + 3*w(o).
2*o**2 + 214*o + 2
Let s(r) = 4*r**2 - 24*r - 24. Suppose -5*f = -a, 0*f + 20 = a - f. Suppose -7*z + 45 + a = 0. Let x(u) = -z - 6 - 5 + u + 22. Calculate s(l) + 24*x(l).
4*l**2
Let f(v) = 139*v - 73 - 270*v + 134*v. Let y(w) = -w + 24. Give -4*f(m) - 14*y(m).
2*m - 44
Let g(f) = -f**2 + 3*f + 2. Let c be g(1). Let d(p) = -c*p + 30*p**3 - 83*p**3 - 4*p**2 + 48*p**3. Let u(k) = -k**2 - k. What is -d(r) + 4*u(r)?
5*r**3
Let h(f) = -44*f + 5. Let n(o) = 198*o - 22. Suppose a - 4 = 0, a = c - 2*c - 18. Give c*h(d) - 5*n(d).
-22*d
Let v be ((-4)/12)/(4/60). Let h(p) = -3*p - 5. Let f(r) = 6*r + 9. Let i be 6 - ((-1)/1 + 5). Suppose i*j - 1 + 7 = 0. Give j*f(u) + v*h(u).
-3*u - 2
Let r(p) = -8408925*p + 204568. Let c(k) = 1973*k - 48. What is -25571*c(s) - 6*r(s)?
1967*s
Let x(g) = -6*g**2 + 7*g - 4. Suppose -6*d + 4*m + 6 = -d, d + 1 = 3*m. Let f(j) = j**2 + 16*j - 17*j + 3 - d. Calculate -5*f(s) - x(s).
s**2 - 2*s - 1
Let j(s) be the first derivative of s - 3803. Let u(r) = 12*r**2 + 2*r - 7. Let l(b) = -b**2. Let m(z) = 6*l(z) + u(z). What is 5*j(v) + m(v)?
6*v**2 + 2*v - 2
Let g(r) = 6*r**2 + 4. Let z be (1 + 1 + -6)*(-21)/42. Let a(s) = 1086*s**2 + 1 - 2173*s**z + 1088*s**2. Let b = -3 + -1. Calculate b*a(c) + g(c).
2*c**2
Let z(a) = -134*a**2 - 32*a + 3. Let h(c) = -190*c**2 - 32*c + 3. Give -2*h(q) + 3*z(q).
-22*q**2 - 32*q + 3
Let n(k) = -6*k + 2. Let l(g) = 12*g - 4. Let q(z) = -z**2 - 302*z - 3475. Let j be q(-12). What is j*n(m) + 2*l(m)?
-6*m + 2
Let n(p) = -85*p**2 + 162*p + 4. Let c(x) = 59*x**2 - 107*x - 3. What is -7*c(s) - 5*n(s)?
12*s**2 - 61*s + 1
Let s be (-12)/(-6) - (1720/(-5) + -3). Let j = s + -352. Let z(r) = -4*r**2 + 4. Let h(u) = -3*u**2 + 4. Calculate j*h(w) + 2*z(w).
w**2 - 4
Let p(f) = -f - 5. Suppose 4*c - 5*d = 4, 2079*c + d + 20 = 2083*c. Let o(s) = 1. What is c*o(q) - p(q)?
q + 11
Let u(z) = -7*z**2 - z + 5. Let y be 15*((-1)/(-2))/(11/132). Suppose b = -17*b + y. Let v(j) = -3*j**2 - j + 2. Calculate b*v(k) - 2*u(k).
-k**2 - 3*k
Let v(b) = -15*b - 31. Let r = 4676 + -4687. Let x(z) = 8*z + 16. What is r*x(c) - 6*v(c)?
2*c + 10
Let z(q) = -176*q + 579. Let o(m) = -65*m + 193. Give -8*o(j) + 3*z(j).
-8*j + 193
Let w(v) = 9*v**2 - 79*v + 5. Let n(b) = 8*b**2 - 97*b + 4. Determine 4*n(g) - 5*w(g).
-13*g**2 + 7*g - 9
Let n(u) = -3*u - 3. Let f(r) = -10*r - 10. Let b be (6 + 4)*(4 + (-112)/20). What is b*n(h) + 5*f(h)?
-2*h - 2
Let s(a) = -6*a - 92. Let n(g) = -g**3 + 26*g + 370. Determine -2*n(c) - 9*s(c).
2*c**3 + 2*c + 88
Let c(h) = -10*h - 2. Let u(f) = -71*f + 140. Determine 5*c(x) - u(x).
21*x - 150
Let i(w) = 1392*w**2 + 145*w. Let s be 2/(-21) + 1098/(-378). Let v(q) = -29*q**2 - 3*q. Determine s*i(j) - 145*v(j).
29*j**2
Let y(w) = -48338*w - 22. Let u(r) = 36250*r + 16. Determine -11*u(c) - 8*y(c).
-12046*c
Let d = -39124 + 39121. Let z(g) = -2*g - g + 4*g. Let l(h) = -3*h - 1. Give d*l(t) - 7*z(t).
2*t + 3
Let h(b) = -50*b + 72*b - 18 + 8 - 12. Let o(z) = -1. Give -h(g) + 22*o(g).
-22*g
Let b(f) = 23998 + 0*f**3 + 0*f - 24009 + 5*f - 4*f**3 - 3*f**3. Let h(q) = -4*q**3 + 3*q - 6. Let n = -21 - -26. Calculate n*h(a) - 3*b(a).
a**3 + 3
Let o(m) = 35*m**3 - 78*m**2 + 10. Let y(j) = -j**3 - j**2 + 2. What is o(q) - 5*y(q)?
40*q**3 - 73*q**2
Let u(o) = 71*o - 75. Let b(i) = 17*i - 16. Let w(f) = -9*b(f) + 2*u(f). Let v(s) = -340*s - 187. Determine 6*v(g) - 187*w(g).
17*g
Let r(c) = 885*c + 80. Let q(g) = 154*g + 13. Let j(x) = -23*q(x) + 4*r(x). Let u(h) = -h + 11. Give 3*j(k) - 5*u(k).
-k + 8
Let g(c) be the second derivative of -5*c**4/4 + 3*c**3/2 - 9*c**2/2 - 427*c - 5. Let x(z) = 8*z**2 - 5*z + 5. What is -4*g(d) - 7*x(d)?
4*d**2 - d + 1
Let w(x) = 45*x**2 - 20. Let a(b) = -11*b**2 + b + 2. Give 4*a(l) + w(l).
l**2 + 4*l - 12
Let o(k) = 6*k**2 + 566*k + 184. Let b be o(-94). Let f(p) = -7*p**3 - 3*p**2 - 2*p - 2. Let u(t) = 6*t**3 + 4*t**2 + 2*t + 3. Give b*u(a) - 5*f(a).
11*a**3 - a**2 + 2*a - 2
Suppose -5*f - 6 = -8*f, -3*f = -2*u + 386. Let n(m) = -m**2 + m**3 + 6 - 5 + 196*m - u*m. Let c(k) = 12*k**3 - 6*k**2 + 6. What is c(y) - 6*n(y)?
6*y**3
Let n(a) = 621*a - 7. Let d(h) = -302*h + 3. What is -5*d(k) - 2*n(k)?
268*k - 1
Let f(j) = 4023*j + 23. Let q(m) = -4025*m - 25. Determine -13*f(o) - 12*q(o).
-3999*o + 1
Let c(k) = -4*k**3 + 868*k. Let x(i) = -3*i**3 + 854*i. Determine -2*c(g) + 3*x(g).
-g**3 + 826*g
Let s(q) = -157*q - 1. Let n(a) = -57*a. Let v(y) = -11*n(y) + 4*s(y). Let b(t) = t + 5. Give -4*b(j) - 3*v(j).
-j - 8
Suppose -9*p = -5*v - 11*p + 47, -5*p + 14 = v. Let l(s) = 14*s**2 + 11. Let a(u) = -7*u**2 - 5. Give v*a(y) + 4*l(y).
-7*y**2 - 1
Let r(u) be the first derivative of -7*u**4/4 + 8*u**3/3 + 2*u**2 - 6*u + 119. Let h(k) = 20*k**3 - 23*k**2 - 11*k + 17. What is -6*h(y) - 17*r(y)?
-y**3 + 2*y**2 - 2*y
Let t(c) = 40*c**3 + 9*c - 7*c - 47*c**3. Suppose -g - 4 = -3*g. Let n(l) = 190*l**3 - 55*l. Calculate g*n(r) + 55*t(r).
-5*r**3
Let s(p) = -p**2 - 26*p + 4. Let l(z) = 4*z**2 + 24*z - 8. Let f(c) = -c**2 + c + 1. Let w(h) = 3*f(h) + l(h). Calculate -6*s(r)