late 5*b(j) - 4*d(j).
3*j**3 + 74*j
Let u(z) = -45*z**3 - 4*z**2 - 5*z - 3. Let p(v) = -2*v. Calculate 3*p(a) - u(a).
45*a**3 + 4*a**2 - a + 3
Let h(g) = -19*g**2 + 12*g + 30. Let d(s) = 5*s**2 - 3*s - 7. Let k(w) = -9*d(w) - 2*h(w). Let b(l) = -l**2 + 1. Give 5*b(j) - k(j).
2*j**2 - 3*j + 2
Let o(t) = -t**2 + 1. Let q(f) = -3*f - 49. Let i be q(-16). Let p(n) = -4*n**2 + n + 1. Give i*p(h) + 2*o(h).
2*h**2 - h + 1
Let u(x) = -625*x + 31. Let s(v) = 156*v - 7. What is 9*s(l) + 2*u(l)?
154*l - 1
Let q(i) be the second derivative of 0*i**3 - 1/20*i**5 + 1/12*i**4 + 0 + 1/2*i**2 + 11*i. Let k(u) = 4*u**3 - 3*u**2 - 2. Determine 2*k(m) + 6*q(m).
2*m**3 + 2
Let i(x) = -3*x - 1. Suppose a + 0*f + 4*f + 14 = 0, 2*f = -10. Let g(h) = 6*h + a*h - 11*h. What is -4*g(w) - i(w)?
-w + 1
Let p(i) = -4*i**2 + 3. Suppose -3*f = 26*j - 22*j + 16, 14 = -4*f + 2*j. Let a(o) = -o**2 + 1. Determine f*a(x) + 2*p(x).
-4*x**2 + 2
Suppose -2*u - 5*i = -4, u - 4*i - 12 = -10. Let b(j) = -1. Let k(r) = -5*r. Calculate u*b(y) - k(y).
5*y - 2
Let q(o) = -9*o + 15. Let h(v) = 6*v - 7. What is 7*h(y) + 3*q(y)?
15*y - 4
Let p(r) = -1. Let u(f) = -f - 6. Let j = 1162 + -1158. What is j*p(m) - u(m)?
m + 2
Let i(o) = -o**3 + o - 1. Let c(x) = 2*x**3 + 2*x**2 + x + 3. Let p(s) = 13*s - 55. Let b be p(4). Calculate b*i(r) - c(r).
r**3 - 2*r**2 - 4*r
Let m(o) = 5*o**3 - 2*o**2 - 4*o - 3. Let q(h) = 1 + 43*h - 4*h**3 - 87*h + 47*h + 1 + 2*h**2. Calculate -3*m(t) - 4*q(t).
t**3 - 2*t**2 + 1
Suppose 57*u - 16 = 49*u. Let b(r) = 3*r + 2. Let c(g) = -6*g - 5. What is u*c(o) + 5*b(o)?
3*o
Let y(t) = -17*t**3 + 2*t**2 + 4*t - 1. Let f(i) = 48*i**3 - 6*i**2 - 11*i + 3. What is -6*f(z) - 17*y(z)?
z**3 + 2*z**2 - 2*z - 1
Let p(q) = -77*q + 1. Let k(o) = -39*o. Calculate 5*k(i) - 2*p(i).
-41*i - 2
Suppose -82*p + 85*p - 822 = 0. Let i = p - 272. Let f(c) = -c - 1. Let j(m) be the third derivative of -m**4/8 + m**3/6 - m**2. What is i*f(l) - j(l)?
l - 3
Let u(k) = 7*k - 54. Let f(h) = 10*h - 55. Calculate -3*f(n) + 4*u(n).
-2*n - 51
Let d(q) = 1. Let m(g) = -5*g - 9. Let t(l) = 6*l + 10. Let j(x) = -5*m(x) - 4*t(x). Suppose -3*w + 0 = -9. Suppose -7*y - 66 = -w. Determine y*d(f) + 2*j(f).
2*f + 1
Let s(f) = -f**2 + 13*f + 8. Let d(h) = h**2 - 14*h - 9. Calculate 6*d(v) + 7*s(v).
-v**2 + 7*v + 2
Let t(f) = 6*f + 592. Let r(j) = 2*j + 198. What is 7*r(h) - 2*t(h)?
2*h + 202
Let r(u) = -u**2 - 1. Let m(y) = -2*y**3 - 2*y**2 - 2*y - 6. Let j(k) = -k - 1. Let f(v) = -2*j(v) + m(v). Determine -f(d) + 6*r(d).
2*d**3 - 4*d**2 - 2
Let f(j) = -j**2 - 3. Let s(g) = -g**2 + 5*g. Let y be s(6). Suppose 0 = -4*l - 24 - 16. Let p(r) = 2*r**2 + 5. Calculate l*f(w) + y*p(w).
-2*w**2
Let j(y) = 3*y + 39. Let d(z) = z. Determine -4*d(p) + j(p).
-p + 39
Let f(n) = -2*n**2 + 17*n + 6. Let o(v) = -2*v**2 + 17*v + 5. Determine 5*f(a) - 6*o(a).
2*a**2 - 17*a
Let t(x) = x + 1. Let y(h) = -2*h**2 + 3*h + 4. Let w = -86 + 83. Give w*t(i) + y(i).
-2*i**2 + 1
Let r(f) = -2*f + 8. Let v(n) be the third derivative of n**4/12 - 3*n**3/2 + 34*n**2 + 1. Give 6*r(i) + 5*v(i).
-2*i + 3
Let d(k) = -42*k + 14. Let x(u) = -34*u + 14. Let g(t) = -4*d(t) + 5*x(t). Let j(q) = -1. Determine 5*g(h) + 70*j(h).
-10*h
Let c(j) = -2*j**3 + 3*j. Let m(a) = a. Suppose f + 2 = -4*z - 4, 3*z = f - 8. What is f*c(d) - 6*m(d)?
-4*d**3
Let c(i) = 8*i - 12. Let k(l) = -8*l + 13. Calculate -6*c(p) - 5*k(p).
-8*p + 7
Let f(g) = 2*g**2 - 1. Let h(a) = 9*a**2 + 2*a + 6. Determine -6*f(w) - h(w).
-21*w**2 - 2*w
Let h(p) = -10*p**3 - 12*p**2 + 11*p + 4. Let u(m) = 18*m**3 + 23*m**2 - 20*m - 7. Calculate -7*h(w) - 4*u(w).
-2*w**3 - 8*w**2 + 3*w
Suppose 0 = 41*f - 49*f - 48. Let o(g) = -48*g**3 - 20*g**2. Let c(a) = 7*a**3 + 3*a**2. Give f*o(x) - 40*c(x).
8*x**3
Let c(o) = 9*o**2 - 5*o - 2. Let n = 19 + -22. Let a(p) = -5*p**2 + 3*p + 1. Determine n*c(j) - 5*a(j).
-2*j**2 + 1
Let s(h) = -88*h + 53*h + 29*h - 5. Let k(q) = 1. Determine 6*k(r) + s(r).
-6*r + 1
Let i(h) be the first derivative of h**2/2 - 350. Let j(f) = -5*f - 9. What is 4*i(p) + j(p)?
-p - 9
Suppose -2*g - 2 = 2*o + 2*o, 3 = -3*o - 2*g. Let q(j) = -3 - 1 - o - 9*j**3. Let a(r) = -4*r**3 - 2. Determine 7*a(b) - 3*q(b).
-b**3 + 1
Let f = -1683 - -1672. Let c(q) = 4*q**3 - 2*q**2 + 6*q + 6. Let d(t) = 11 + 7*t**3 + 4*t + 5*t - 4*t**2 + 2*t. Give f*c(j) + 6*d(j).
-2*j**3 - 2*j**2
Let z(o) = 47*o + 17. Let m(g) = 9*g + 4. Let p(j) = 11*m(j) - 2*z(j). Let h(u) = 6*u + 11. Calculate 3*h(l) - 4*p(l).
-2*l - 7
Let c(w) = -2*w + 1. Let v(z) = -7*z - 446. Give -4*c(o) + v(o).
o - 450
Let k(m) = -m**2 - 89*m. Let o(l) = -1. Determine -k(a) + 2*o(a).
a**2 + 89*a - 2
Let m = 191 + -174. Let k(c) = c - 7. Let f(z) = 3*z - 20. Determine m*k(r) - 6*f(r).
-r + 1
Let g(s) = -7*s - 78. Let i(j) = -3*j - 40. What is 4*g(p) - 9*i(p)?
-p + 48
Let y(r) = -3*r + 12. Let f = -1455 + 1464. Let v(k) = -k + 3. Determine f*v(b) - 2*y(b).
-3*b + 3
Let g(k) = 9*k - 2. Let y = -19 + 29. Suppose -5*h + y*h = -30. Let v(b) be the first derivative of -b**2/2 - 1. Give h*v(n) - g(n).
-3*n + 2
Let p(w) = 281*w - 3. Let a(k) = -842*k + 8. Give 3*a(u) + 8*p(u).
-278*u
Let r(a) = -12*a**3 - 5*a**2 - 4*a + 8. Let f(q) = -q**3. Let h(o) = 6*f(o) - r(o). Let b(v) = 7*v**3 + 6*v**2 + 5*v - 9. What is -5*b(n) + 6*h(n)?
n**3 - n - 3
Let v = -1 - -4. Let l(h) = -3*h + 1. Let a = 255 - 259. Let b(f) = -8*f + 1. Let m(n) = 7*n - 1. Let k(s) = -5*b(s) - 6*m(s). What is a*k(t) + v*l(t)?
-t - 1
Let v(d) = -d**3 + 72*d**2 + 3*d - 212. Let a be v(72). Let t(m) = -m. Let b(p) = -p + 3. Give a*t(h) + b(h).
-5*h + 3
Let n(s) = -7*s**3 - 2*s**2 - 2*s + 5. Suppose 2*p = 3*c + 4, 4*c = 5*p + 2 - 5. Let a(o) = -2 - o**2 - 2*o**2 + o + 3*o**3 + 4*o**2. Calculate c*n(y) - 5*a(y).
-y**3 - y**2 - y
Let g(b) = 153*b**2 + 26*b + 23. Let j(y) = 50*y**2 + 9*y + 8. Calculate -6*g(s) + 17*j(s).
-68*s**2 - 3*s - 2
Suppose -u - 5*y + y + 2 = 0, 0 = -5*u + 5*y + 35. Suppose u = 5*w + 1. Let s(x) = -2*x**2 - x + 3. Let f(o) = -11 - 6 - 2 + 18. What is w*s(n) + 2*f(n)?
-2*n**2 - n + 1
Let m(j) = 2*j + 1. Let r(k) = 5*k + 3. Let c(z) = 2*m(z) - r(z). Let p(n) = 8*n + 6. Calculate 6*c(x) + p(x).
2*x
Let n(g) = 10*g + 6. Let x be 1*1/(-2)*2. Let d(z) = -13*z + 22. Let p(m) = -11*m + 19. Let r(t) = 6*d(t) - 7*p(t). Determine x*n(o) - 8*r(o).
-2*o + 2
Let g(d) = 737*d - 242. Let q(b) = -15*b + 5. What is -2*g(s) - 99*q(s)?
11*s - 11
Suppose 10*z - 27*z + 17 = 0. Let t(y) = 1. Let v(g) = -g - 1. Let o(s) = s + 9. Let m(f) = o(f) + 2*v(f). Calculate z*m(i) - 5*t(i).
-i + 2
Let c(g) = -4*g**2 + 5*g - 6. Let n(v) = 4*v + 10. Let f be n(8). Let l = f + -37. Let d(m) = -3*m**2 + 4*m - 5. What is l*c(w) - 6*d(w)?
-2*w**2 + w
Let g(o) = o - 5. Let d(q) = -1. Let u(s) = 3*s**3 - 10*s**2 + 4*s - 4. Let l be u(3). Let v(x) = -3*x - 3. Let k be v(-2). Determine k*d(w) + l*g(w).
-w + 2
Let b(h) = -5*h**3 - 20*h**2 + 3*h - 1. Let p(y) = 10*y**3 + 40*y**2 - 7*y + 2. Calculate -7*b(l) - 3*p(l).
5*l**3 + 20*l**2 + 1
Let d(w) = -w**3 - 1. Let x(c) = 4*c**3 + 9. Suppose -11*m - 1 = -7*m - 5*u, 6 = 5*m + u. What is m*x(i) + 5*d(i)?
-i**3 + 4
Let n(d) = d - 39. Let z(y) = y - 38. Determine 6*n(t) - 5*z(t).
t - 44
Let s(r) = 39*r**2 - 2. Let l(f) = -5032*f**2 + 259. Give -2*l(v) - 259*s(v).
-37*v**2
Let s(k) = 8*k**3 - 9*k**2 - k + 8. Let l(a) = 12*a**3 - 13*a**2 - 2*a + 12. What is 5*l(t) - 7*s(t)?
4*t**3 - 2*t**2 - 3*t + 4
Let h(l) = -2*l - 1. Let r(y) = 2*y + 1. Let q = -83 + 87. Let n(b) = -b**3 + 5*b**2 - b - 6. Let z be n(q). Let x = -3 - -8. What is x*r(t) + z*h(t)?
-2*t - 1
Let u(k) = -3*k**2 - 4*k. Let m(y) = 15*y**2 - 3*y. Let o(q) = 13*q**2 - 2*q. Let p(x) = 5*m(x) - 6*o(x). Determine -4*p(s) + 3*u(s).
3*s**2
Let i(h) = 4*h + 7. Let p(f) = -f**3 + 5*f**2 - 7*f + 6. Let u be p(3). Suppose -20 = -u*k - 2. Let y(w) = 1 + 0 + w + 0*w. Calculate k*y(n) - i(n).
2*n - 1
Let n(m) = 11 + 161*m - 13*m**2 + 37*m**2 + 7*m**2 - 334*m + 162*m. Let r(f) = -10*f**2 + 4*f - 4. Calculate 4*n(j) + 11*r(j).
14*j**2
Let g(z) = -z**2 + 2. Let q(d) = d**2 - 1. Let j be (4 - -4)/(-2)*10/(-8). Let u(a) = -a**2 + 4*a + 9. Let c be u(j). Calculate c*g(p) + 5*q(p).
p**2 + 3
Let c(m) = -m + 5. Let b(j) = -6*j - 6. Let d(l) = -4*l + 1. Let n(t) = -3*b(t) + 6*d(t). Give -14*c(i) + 3*n(i).
-4*i + 2
Let d(v)