- 42*j + 3 + 331*j**2 - 15 + 39*j. Let t(c) = -11*c**2 + 2*c. Give x*t(i) - 2*w(i).
13*i**2
Let p(i) = -87*i**2 + 14*i - 17. Let y(w) = 89*w**2 - 10*w + 11. Let q(c) = 77*c**2 - 9*c + 10. Let j(d) = 5*q(d) - 4*y(d). Give -17*j(v) - 6*p(v).
29*v**2 + v
Let t(i) = 2*i**3 + 2*i. Let z(j) be the first derivative of -j**4/4 - j**2/2 + j - 1838. Calculate 3*t(d) + 2*z(d).
4*d**3 + 4*d + 2
Let a(f) = 4*f**2 - 12*f - 13. Let y(v) = 26*v**2 - 84*v - 100. Determine -20*a(b) + 3*y(b).
-2*b**2 - 12*b - 40
Let w(z) = 23*z**3 - z**2 + 2*z - 2. Let v(d) = -6*d**2 + 11*d - 5 - 65*d**3 - 147*d**3 - 160*d**3 + 486*d**3 - 6. Determine 2*v(j) - 11*w(j).
-25*j**3 - j**2
Let k(q) = -11*q**2 - 40*q + 52. Let g(p) = 24*p**2 + 82*p - 105. What is 6*g(o) + 13*k(o)?
o**2 - 28*o + 46
Let r(i) = -6*i**2 + 4*i - 5. Let k(u) = u**2 - 2*u - 42. Let v be k(-5). Let g(f) = -12*f**2 + 7*f - 9. Determine v*r(x) + 4*g(x).
-6*x**2 - 1
Let q(x) = x**3 - x. Let d(f) be the first derivative of 17*f**4/4 + 2*f**3/3 + f**2 + 7041. Determine -d(n) - 2*q(n).
-19*n**3 - 2*n**2
Let x(p) = -17*p**2 + 13*p + 15. Let l(j) = j**2 - j - 5. Let r be l(-3). Let c(b) = -7*b**2 - 2*b**2 + 1 + r*b + 11 - 4. Calculate 11*c(t) - 6*x(t).
3*t**2 - t - 2
Let r(b) = 13*b**3 - 43*b**2 + b + 1. Let o(f) = f**3 + 2*f**2. Determine 9*o(m) + r(m).
22*m**3 - 25*m**2 + m + 1
Let n(z) = -12*z - 2. Let y(h) = -81*h - 92. What is -6*n(p) + y(p)?
-9*p - 80
Let n(g) = -61*g**3 + 3*g**2 - 2*g + 7. Let f(j) = -59*j**3 + 5*j**2 - j + 5. What is 4*f(l) - 3*n(l)?
-53*l**3 + 11*l**2 + 2*l - 1
Let n(l) = 36*l**3 - 9*l**2 - 18. Let c(d) = 2*d**3 - 3*d**2 - 3. Give 3*c(i) - n(i).
-30*i**3 + 9
Let r(h) = h - 1. Let p(i) be the second derivative of -i**5/120 + 2*i**3/3 - 15*i**2 - 4*i. Let m(z) be the second derivative of p(z). What is 3*m(g) + 2*r(g)?
-g - 2
Let v(m) = 44*m - 4. Let q(c) = -134*c + 14. Determine 3*q(z) + 10*v(z).
38*z + 2
Let w(q) = -23*q - 29*q + 60*q + 4 - 5 + 9. Let t(o) = -o - 1. Let p = -4 - -2. Let m = p + 3. What is m*w(c) + 6*t(c)?
2*c + 2
Let u(h) = 96*h. Let b(a) = a. Let f(r) = -35*r + 6022. Let m be f(170). Determine m*b(t) - u(t).
-24*t
Let g(d) = -6*d**2 - 3403*d. Let a(f) = -10*f**2 - 6809*f. Determine -4*a(u) + 7*g(u).
-2*u**2 + 3415*u
Let v(u) = -2*u + 23. Let w(x) = x - 22. Let z = -7840 + 7844. Determine z*w(t) + 3*v(t).
-2*t - 19
Suppose -75*b - 28*b + 721 = 0. Let f(u) = 4*u - 3. Let i(x) = 12*x - 10. Suppose 3*t - 1 + 2 = -5*p, -5*p = -t + 13. Let c = 1 - t. Calculate b*f(r) + c*i(r).
4*r - 1
Let v(k) = 1123*k**2 - 4*k. Let j(u) = 2303275*u**2 - 8206*u. What is -2*j(c) + 4103*v(c)?
1119*c**2
Let y(d) = -83*d - 17. Let f(q) = 11*q + 1. Let x(i) = -6*f(i) - y(i). Let t(o) = -8*o - 6. Calculate 7*t(l) + 4*x(l).
12*l + 2
Let i(p) = 9*p**2 - 2. Let j(n) = 19*n**2 - 4. Let v = -3735 + 3739. What is v*j(s) - 9*i(s)?
-5*s**2 + 2
Let s(l) = 986*l + 1. Let a(r) = 1974*r + 3. Give -3*a(f) + 7*s(f).
980*f - 2
Let g = 20179 + -20184. Let d(o) = -26*o. Let v(k) = 441*k. Determine g*v(c) - 84*d(c).
-21*c
Let i(z) = 12*z**3 + 7*z**2 - 9. Let o(k) = 3*k**3 + 2*k**2 - 2. Let c(x) = -138*x - 4138. Let m be c(-30). Give m*i(a) - 9*o(a).
-3*a**3 - 4*a**2
Let i(d) = 114*d + 1902. Let l(y) = 17*y + 272. Give -3*i(p) + 20*l(p).
-2*p - 266
Let r(z) = -z**2 - 2*z. Let i(x) be the first derivative of 2*x**3 + 13*x**2/2 + 1111. Determine 6*i(w) + 39*r(w).
-3*w**2
Let i(p) = 18*p**2 + 15*p - 15. Let k(y) be the third derivative of y**5/60 + y**4/24 - y**3/6 + 2351*y**2. Give 3*i(o) - 45*k(o).
9*o**2
Let b(t) = -t**3 - 32*t**2 - 9*t + 13. Let h(s) = 2*s**3 + 62*s**2 + 17*s - 24. Determine -22*b(m) - 12*h(m).
-2*m**3 - 40*m**2 - 6*m + 2
Let a(b) = -29*b**3 + 21*b**2 - 1. Let y(k) = 44*k**3 - 30*k**2 + 3. Give -7*a(q) - 5*y(q).
-17*q**3 + 3*q**2 - 8
Let s(t) = t**3 + 18*t**2. Suppose -5*m - 9*m - 21 + 63 = 0. Let p(a) = -2*a**3 - 18*a**2. Calculate m*p(n) + 4*s(n).
-2*n**3 + 18*n**2
Let l(q) = -14*q - 1. Let g(i) = 56341*i - 112685*i + 56339*i. What is -8*g(y) + 3*l(y)?
-2*y - 3
Let o(a) = 58*a - 14. Let s(r) = 20*r - 4. Give 3*o(z) - 8*s(z).
14*z - 10
Let b(j) = -j**3 + 37*j - 4. Let l(r) = -r**3 + 36*r - 3. Let i(f) = 344*f - 10660. Let v be i(31). Calculate v*l(z) - 3*b(z).
-z**3 + 33*z
Let c(z) = -z**2 + 4 + 2*z**2 + z - 5. Let s(n) = 12512*n**2 + 0*n + 12524*n**2 - 25029*n**2 - 3 + 4*n. What is 5*c(f) - s(f)?
-2*f**2 + f - 2
Let r(t) = 4*t**3 + 2*t**2 - 2*t - 1. Suppose 166 = -7*p + 180. Let z be 2/p + (-9)/3 + -1. Let o(n) = 4*n**3 + 3*n**2 - 3*n - 2. What is z*r(b) + 2*o(b)?
-4*b**3 - 1
Let w(h) = -9*h**3 + 40*h**2 - 8*h + 359. Let f(r) = 3*r**3 - 15*r**2 + 3*r - 119. Give 8*f(g) + 3*w(g).
-3*g**3 + 125
Let o(h) be the first derivative of -35*h**4 + 4*h**2 - 2307. Let d(p) = 47*p**3 - 3*p. What is -8*d(i) - 3*o(i)?
44*i**3
Let j(r) = 4*r**2 - 7*r + 3. Let v(m) = -7*m**2 + 15*m - 5. Suppose -550*h = -34*h - 3096. Calculate h*v(o) + 10*j(o).
-2*o**2 + 20*o
Let t(w) = 4*w**3 + 2*w**2 + w. Let l be 2 - 0/(-5)*-1. Let x(g) = -7519 - 2*g**l - g**3 + 7519 + g**2. Calculate t(z) + 2*x(z).
2*z**3 + z
Let d(v) = -37*v - 7. Let y(g) be the third derivative of 19*g**4/24 + g**3/2 + 10563*g**2. What is -2*d(j) - 5*y(j)?
-21*j - 1
Let u(c) = -28654*c - 10. Let r(i) = -14335*i - 4. What is -5*r(l) + 2*u(l)?
14367*l
Let c(g) = -g**2 + 1. Let h(p) = -13*p + 7*p + 3 + 5 + 10*p - 7*p**2 - 2. Calculate -4*c(r) + h(r).
-3*r**2 + 4*r + 2
Let l(k) = 12*k**2 - 4*k - 2. Suppose 10 = -6*b + 7*b + 5*v, 0 = -v. Let m(a) = -a**2. Suppose 0 = -3*z + 3*j, -11*z = -8*z + 2*j - 5. Give b*m(x) + z*l(x).
2*x**2 - 4*x - 2
Let m(y) = 14*y - 89. Let s(h) = -3*h + 23. Calculate -6*m(a) - 26*s(a).
-6*a - 64
Let y(a) = -26*a**3 - 15*a**2 - 4*a + 10. Let c(d) = 4*d**3 + d**2 + d - 2. What is -6*c(w) - y(w)?
2*w**3 + 9*w**2 - 2*w + 2
Let q be (233 - 246) + 127/(-1). Let w(i) = -35*i**2 - 28*i - 28. Let t(g) = -g**2 - g - 1. Determine q*t(d) + 5*w(d).
-35*d**2
Let i be 13/4 - 1/4. Let n(l) = 2*l - 2. Let p(q) be the third derivative of q**4/24 - q**3/3 - 23817*q**2. Determine i*n(j) - 2*p(j).
4*j - 2
Let s(u) = u - 6. Let f(v) = -2*v + 18. Let j = -4015 + 4013. Give j*f(p) - 7*s(p).
-3*p + 6
Let j be (13/(351/18)*24/(-4))/(-4). Let x(v) = -11*v - 1. Let d(z) = 1. Give j*x(o) + 3*d(o).
-11*o + 2
Let b(j) = -2*j**3 + 5*j**2 - 5*j. Let l be (2 - 266/98)*-21. Let g(i) = i**3 - 2*i**2 + 2*i. Calculate l*g(c) + 6*b(c).
3*c**3
Let b(z) = z**2 + 3*z - 2. Let i(k) be the first derivative of 93 - 2/3*k**3 + 3*k - 5/2*k**2. Give 5*b(a) + 3*i(a).
-a**2 - 1
Let s = -457 + 460. Let z(w) = -15*w**2 + 39 + 0*w**3 - 100 + 48 - 2*w**s. Let f(q) = -q**3 - 7*q**2 - 6. What is -13*f(m) + 6*z(m)?
m**3 + m**2
Let k(c) = -6*c - 2. Let i(z) = -60*z - 21. Suppose 0 = a + 5, -4*m + m = 2*a - 344. Suppose -m + 120 = -q. Determine q*i(d) + 21*k(d).
-6*d
Let m(d) = -2*d**2 - 4*d - 9. Let h(x) = -8*x**2 + 2260*x - 27. Calculate -h(y) + 3*m(y).
2*y**2 - 2272*y
Let p(z) = -1774*z - 5. Let u(j) = 887*j + 2. Give 2*p(w) + 5*u(w).
887*w
Let p = 1 + 9. Let n(s) = 3676*s - 2 + 4 - 7339*s + 3665*s. Let r(g) = -3*g - 3. What is p*n(b) + 6*r(b)?
2*b + 2
Suppose -2*g - 3*j - 8 = 0, -33*j = -2*g - 29*j + 6. Let k(n) = -7*n - 5. Let d(s) = s. Determine g*k(c) - 5*d(c).
2*c + 5
Suppose 1003*x + 579 = 810*x. Let z(a) = 12*a**3 + 9*a**2 + 12*a. Let d(w) = -4*w**3 - 3*w**2 - 4*w. Calculate x*z(b) - 8*d(b).
-4*b**3 - 3*b**2 - 4*b
Let k(y) = -4*y - 63. Let f(x) = -14*x - 251. Determine 4*f(u) - 15*k(u).
4*u - 59
Let y(h) = 69*h**2 + 5*h - 5. Let j(l) = -103*l**2 - 8*l + 8. Let v be ((-2)/(-32))/(13/(-52))*32. What is v*y(m) - 5*j(m)?
-37*m**2
Let m(i) = 6*i + 3875. Let y(w) = 2*w + 1290. What is 5*m(g) - 14*y(g)?
2*g + 1315
Let t(k) = -1838*k - 36. Let y(x) = 3*x + 7. What is -t(f) - 5*y(f)?
1823*f + 1
Let i(g) = -5137*g**2 - 90*g + 3. Let a(v) = 15412*v**2 + 300*v - 10. What is -3*a(k) - 10*i(k)?
5134*k**2
Let s(y) = -6*y**3 - 13*y**2 - 123*y - 31. Let r(v) = -2*v**3 - 4*v**2 - 41*v - 8. Give -7*r(t) + 2*s(t).
2*t**3 + 2*t**2 + 41*t - 6
Let l(b) = -4*b + 1. Let g = -61 + 63. Let w be (-6*(-1)/g)/(3/46). Suppose 5*o = -4*q + w, 0*q + 3*q - 6 = o. Let j(z) = 5*z - 2. Determine o*l(i) + 4*j(i).
-4*i - 2
Let v(t) = t + 1. Let y(u) = u**2 + 7*u + 8. Let a be y(-6). Let f(x) = 2*x + 14. Let m(n) = 29*n + 