 - 8. What is o*r(k) - 13*c(k)?
7*k + 2
Let u(d) = -6*d**3 - 8*d**2 + 8*d. Let f(s) = 4*s**3 + 5*s**2 - 5*s. Suppose 0 = 29*z - 30*z - 2*r + 15, r = -2*z + 15. Determine z*u(t) + 8*f(t).
2*t**3
Let k(i) = -5*i**2 - 5 + 9*i**3 - 3*i + 3*i + 2*i**3. Let u(b) = b**2 - 13*b**2 - 12 - 853*b**3 + 880*b**3. Determine -12*k(q) + 5*u(q).
3*q**3
Let y(g) = -5*g - 2. Let q(u) = 2*u - 7 + 14*u + 29 - 14 - 3. What is 3*q(f) + 8*y(f)?
8*f - 1
Let d(b) = -20*b**3 + 11*b**2 - 25*b + 9. Let p(c) = 9*c**3 - 5*c**2 + 12*c - 4. Determine -2*d(g) - 5*p(g).
-5*g**3 + 3*g**2 - 10*g + 2
Let x(g) = 40*g**3 - 18*g**2 - 4*g + 6. Let q(s) = -s**3 - 2*s**2 + 1. Give -6*q(w) + x(w).
46*w**3 - 6*w**2 - 4*w
Suppose 0 = q + r + 7, -3*q - 7*r + 5*r = 21. Let a(w) = -34*w**3 - 6*w**2 + 6. Let d(f) = 35*f**3 + 7*f**2 - 7. Determine q*a(h) - 6*d(h).
28*h**3
Let g(s) = 18132*s**3 - 15*s**2 - 30*s + 15. Let o(u) = 4533*u**3 - 4*u**2 - 8*u + 4. What is 4*g(f) - 15*o(f)?
4533*f**3
Let j(x) = 6*x**2 + 4*x + 39. Let o(a) = -12 + 17 + 4 - 10 - a - a**2. Determine -j(u) - 4*o(u).
-2*u**2 - 35
Let j(s) = -885*s**3 + 2*s**2 - 27*s. Let x(m) = -2654*m**3 + 5*m**2 - 74*m. What is -11*j(r) + 4*x(r)?
-881*r**3 - 2*r**2 + r
Let l(c) = 17*c**2 - 5*c - 13. Let a(y) = 15 - 27 + y + 15 - 4*y**2. Let x = -463 - -454. What is x*a(v) - 2*l(v)?
2*v**2 + v - 1
Let z(i) = -14*i**2 - 381*i + 5. Let l(b) = -6*b**2 - 190*b + 2. What is 5*l(r) - 2*z(r)?
-2*r**2 - 188*r
Let o(i) = 5*i**3 - 3*i**2 + 3*i + 3. Let w = -42 + 77. Suppose w*q + 25 + 45 = 0. Let f(d) = 4*d**3 - 2*d**2 + 2*d + 2. Calculate q*o(c) + 3*f(c).
2*c**3
Suppose 545 = -123*y + 14*y. Let p(o) = 1. Let x(j) = -j + 3. Calculate y*x(s) + 15*p(s).
5*s
Let n(p) = -1013848*p + 6182. Let i(o) = -9012*o + 55. Determine 562*i(r) - 5*n(r).
4496*r
Let r(m) = 14*m**2 + 6*m - 20. Let f(q) = 2*q**2 + q - 2. Calculate -6*f(h) + r(h).
2*h**2 - 8
Let v(w) = -1. Let a(y) = -17*y + 21. Give a(z) - 4*v(z).
-17*z + 25
Let t = 4431 + -4428. Let d(w) = -10*w - 3. Let v(r) = 20*r + 6. Calculate t*v(b) + 5*d(b).
10*b + 3
Let z(q) = -32*q - 29. Let s(a) = 3*a + 3. Calculate -3*s(u) - z(u).
23*u + 20
Let j(b) = 2125*b + 51. Let m(x) = 708*x + 16. Determine 6*j(p) - 19*m(p).
-702*p + 2
Let c(u) = 7. Let f(y) = 10. Let z(w) = -7*c(w) + 5*f(w). Suppose 6*k + 2*d = 2*k - 2, 0 = -3*k - 2*d - 3. Let p(h) = -8*h**2 - 1. Calculate k*z(j) + p(j).
-8*j**2
Suppose 3 = -c + 8. Let x(u) be the third derivative of u**5/30 - u**3/6 + 8375*u**2. Let y(q) = 4*q**2 - 1. Determine c*x(a) - 3*y(a).
-2*a**2 - 2
Let n(h) = 1. Let m(d) = -d - 34. Let j(u) = -u - 46. Let k(a) = 3*j(a) - 4*m(a). Give -4*k(f) - 9*n(f).
-4*f - 1
Let o(f) = -f. Let i(p) be the third derivative of -p**4/8 - p**3/6 + p**2 + 823*p. Determine 2*i(j) - 5*o(j).
-j - 2
Suppose -39*r - 10 = -44*r. Suppose -7 = -2*c + 3*c - 4*p, 0 = -c - p + 3. Let b(h) = h - 5. Let y(v) be the first derivative of v + 1. What is c*b(s) + r*y(s)?
s - 3
Let i(k) = 3*k. Let p(l) = -6*l. Suppose 85*x - 20 = 83*x. Suppose x*r = 11*r - 10. What is r*i(w) + 6*p(w)?
-6*w
Let d(s) = -566*s**3 + 5*s**2 - 15*s + 7. Let b(m) = 281*m**3 - 2*m**2 + 6*m - 3. Give -15*b(x) - 6*d(x).
-819*x**3 + 3
Let v(c) = 413173*c - 3142. Let m(o) = -1577*o + 12. Calculate -1571*m(r) - 6*v(r).
-1571*r
Suppose 4*g = o - 1, -5*o - 4*g + 2 = -3. Let q(s) = 19*s - 8*s - o - 12*s. Let v(w) = 4*w + 14. Give 5*q(n) + v(n).
-n + 9
Let o(b) = -20*b**2 - 7*b - 8. Let u(w) = 22*w**2 + 5*w + 6. Calculate -2*o(g) - 3*u(g).
-26*g**2 - g - 2
Let b(f) = 16*f - 22. Let h(w) = -3*w - 10. Let x(r) = -b(r) + 2*h(r). Let z(t) = -23*t + 2. Calculate 5*x(n) - 4*z(n).
-18*n + 2
Let h(i) = -83*i + 1575. Let c be h(19). Let y(o) = 12*o**3 + 9*o**2 - 6. Let a(z) = -6*z**3 - 4*z**2 + 3. Calculate c*y(x) - 5*a(x).
6*x**3 + 2*x**2 - 3
Let s(c) = 21*c**2 - 17*c. Suppose 13*z - z = -z. Suppose 73*r - 74*r - 6 = z. Let t(i) = 7*i**2 - 6*i. Determine r*s(m) + 17*t(m).
-7*m**2
Let g(s) be the second derivative of 7*s**4/3 - 5*s**2/2 - 1011*s. Let p(r) = -476*r**2 + 84. What is 84*g(i) + 5*p(i)?
-28*i**2
Let t(h) = -4*h**3 - h**2 + 7*h + 2. Let c(i) = 9*i**3 + 2*i**2 - 15*i - 4. Let k be 1/(((-2)/8)/((-520)/(-160))). Determine k*t(q) - 6*c(q).
-2*q**3 + q**2 - q - 2
Let g = 291 + -286. Let t(q) = -1 - 5 + g. Let c(l) = l + 1. What is -c(k) - 3*t(k)?
-k + 2
Let f(s) = -34*s**3 - 4*s + 13. Let c(q) = 17*q**3 + 2*q - 6. What is 9*c(a) + 4*f(a)?
17*a**3 + 2*a - 2
Let v(s) = 13*s + 337. Let o(t) = 66*t + 1696. Give 2*o(k) - 11*v(k).
-11*k - 315
Let d(c) = 13311*c + 15. Let x(k) = -1901*k - 2. Give 6*d(q) + 45*x(q).
-5679*q
Suppose 0 = -6329*x + 6351*x + 88. Let l(o) = 15*o**3 - 2*o**2 - 2*o + 6. Let t(n) = -14*n**3 + n**2 + 2*n - 5. Determine x*t(q) - 3*l(q).
11*q**3 + 2*q**2 - 2*q + 2
Let t(i) be the third derivative of -i**5/12 + i**4/4 + 10*i**3/3 - 3*i**2 + i + 139. Let x(v) = v**2 - v. Give -t(y) - 6*x(y).
-y**2 - 20
Let a(d) = 5611*d - 163. Let m(o) = 2806*o - 89. Calculate 6*a(f) - 11*m(f).
2800*f + 1
Let f(h) be the first derivative of -21*h**4/2 - 42*h**2 + 84*h - 4100. Let c(n) = -n + 1. Give -84*c(s) + f(s).
-42*s**3
Let p(q) = 2*q + 7. Let m(w) = -1. Let j(d) = -d**2 + 10*d - 5. Let k = 6 - -3. Let y be j(k). Let f = -5 + y. Give f*p(t) - 4*m(t).
-2*t - 3
Let o = -6861 + 6860. Let d(u) = u**3 - u - 1. Let f(k) = 85*k**3 - 51*k - 51. What is o*f(v) + 51*d(v)?
-34*v**3
Let v(m) = m. Suppose 0 = -6*d - 357 + 255. Let g(h) = -h**2 - 17*h - 1. Let b be g(d). Let t(y) = -5*y + 2. Give b*t(k) - 6*v(k).
-k - 2
Let n(g) = -11*g**3 - 669*g**2 + 38*g + 3. Let s(w) = 7*w**3 + 446*w**2 - 26*w - 2. Calculate 5*n(h) + 8*s(h).
h**3 + 223*h**2 - 18*h - 1
Suppose -9 + 57 = -3*v. Let h be (-36)/v + 1/(-4). Let m(d) be the first derivative of -2*d**2 - 2*d + 1. Let n(j) = 16*j + 9. Give h*n(l) + 9*m(l).
-4*l
Let t(a) = a**2 - a - 1. Let x(c) = c + 1. Let q = -1 - -4. Suppose 0 = -214*z + 208*z + 30. Suppose q = -4*y + z*y. Give y*x(b) + 3*t(b).
3*b**2
Let n(b) = -b**3 - 18*b**2 - 52*b - 139. Let w be n(-15). Let i(s) = 5*s**3 + 3*s**2 + 4. Let z(o) = 31*o**3 + 17*o**2 + 23. Determine w*i(j) + 6*z(j).
16*j**3 + 2
Let i(d) = 105388690*d**3 - 22948*d. Let l(z) = -22963*z**3 + 5*z. Determine 5*i(j) + 22948*l(j).
-11474*j**3
Let m(z) = -2*z - z + z + 0*z + 5. Let x(q) = -2*q + 6. Suppose 60*j - 662 = -362. What is j*m(u) - 4*x(u)?
-2*u + 1
Let h(r) = -119*r + 14. Let t(j) = 240*j - 29. Calculate -5*h(p) - 3*t(p).
-125*p + 17
Let h(m) = 6176*m**2 + 33. Let b(t) = -1235*t**2 - 6. Calculate -22*b(a) - 4*h(a).
2466*a**2
Let o(c) be the third derivative of c**4/24 - 2*c**2 - 389. Let u(y) = 45*y. Calculate -108*o(l) + 3*u(l).
27*l
Let k(n) = -8*n**2 - 16*n + 8. Let f(l) = -l**2 + l - 3*l + 6*l - 1 - 3*l. Let s(t) = -16*f(t) - k(t). Let b(o) = -8*o**2 - 3. Give -8*b(r) - 3*s(r).
-8*r**2
Let j(b) = 3*b - 9. Let z(y) be the first derivative of y**2/2 - 5*y - 1154. What is 3*j(r) - 5*z(r)?
4*r - 2
Let c(y) = -335 - 341 + 688 - 2*y. Let h(q) be the second derivative of -q**2/2 + 7*q. Determine -2*c(z) - 22*h(z).
4*z - 2
Suppose 53 = -4*p + 65. Suppose -5*v = 5*z - 30, p*z + 4 = 5*v + 14. Let l(q) = -4. Let s(h) = h**2 - 9. Let n = -3 - -1. Give n*s(u) + z*l(u).
-2*u**2 - 2
Let h(m) = -11633848*m**3 - 15589*m**2 - 62356*m. Let z(q) = 2239*q**3 + 3*q**2 + 12*q. Calculate -3*h(d) - 15589*z(d).
-2227*d**3
Let t(f) = -3 - 3*f**2 - 11*f**2 + 12*f**2 - 3*f. Suppose -m + 0 = -1. Let h(c) = -9*c**2 - m - 14 - 10*c + 2 - 3*c. Give 6*h(l) - 26*t(l).
-2*l**2
Let q(p) = 15*p - 2. Let d(i) = 43*i - 5. Let a(o) = 6*d(o) - 17*q(o). Let t(r) = 2*r + 141 - r - 140. Give a(h) - 5*t(h).
-2*h - 1
Let n(w) = 150*w**2 - 90*w + 90. Suppose -194*v + 59*v - 3694 - 8456 = 0. Let a(q) = -q**2 + q - 1. Give v*a(k) - n(k).
-60*k**2
Let q(m) = -m**2 - 1. Let u(z) = -z**2 - 30*z + 5. Let i(p) = -4*p**2 - 125*p + 21. Let a(r) = 6*i(r) - 25*u(r). Calculate 6*a(d) + 3*q(d).
3*d**2 + 3
Let a(x) = -13*x**2 - 2*x - 5. Suppose -9*l + 7 - 1 = 15. Let r(v) = -1. What is l*a(p) + 5*r(p)?
13*p**2 + 2*p
Let y(f) = -8*f**2 - 31*f + 4. Let i(j) = 2*j**2 + 1. Calculate 2*i(v) - y(v).
12*v**2 + 31*v - 2
Let a(t) = 3*t**3 + 2*t + 1. Let n(r) = 122*r. Let i(m) = -35*m. Let g(o) = 7*i(o) + 2*n(o). Let l be (-4)/10 - 34/(-10). Let u = l - 1. Give u*g(y) + a(y).
3*y**3 + 1
Let r