he first derivative of a - 1698. What is -b(c) + 14*h(c)?
14*c
Let t(m) = -22*m + 3. Let w(c) = 966*c - 64. Let d(k) = -49267*k + 3287. Let u(x) = 3*d(x) + 152*w(x). Calculate 266*t(y) - 6*u(y).
-38*y
Let j be (18/(-10))/(48/(-15) - -3). Let k(c) = 8*c**2 + 2*c**2 - j*c**2. Suppose x - 4*x - 5 = -4*p, -p = -x - 2. Let r(a) = -6*a**2. What is x*k(g) - r(g)?
3*g**2
Let i(h) = 31*h**3 - 969*h**2 + 34*h + 55. Let b(d) = 9*d**3 - 277*d**2 + 10*d + 16. Calculate -17*b(r) + 5*i(r).
2*r**3 - 136*r**2 + 3
Let f(w) = 748*w**2 + 14*w + 8. Let x(d) = -1495*d**2 - 24*d - 14. Determine 7*f(i) + 4*x(i).
-744*i**2 + 2*i
Suppose -13*v = -22868 + 22894. Let j(l) = l**3 - 2*l + 3. Let u(s) be the second derivative of s**5/10 - 7*s**3/6 + 5*s**2 - 12*s. Calculate v*u(i) + 7*j(i).
3*i**3 + 1
Let l(b) = -b**3 - b**2 + b. Let o(u) = 2*u**3 + 3*u**2 - 3*u - 7. Let s = 43607 - 43610. Determine s*l(y) - o(y).
y**3 + 7
Let d(g) = 46*g**2. Let b(f) = 91*f**2 + 12*f - 307. Give -b(s) + 2*d(s).
s**2 - 12*s + 307
Let i(o) = -32*o**2 + 5*o - 5. Let r(p) = -16*p**2 + 3*p - 3. Suppose -4*x = 2*v + 5 + 17, 0 = -x - 2*v - 7. Give x*r(l) + 3*i(l).
-16*l**2
Let x(h) = -h - 1. Let j(p) be the first derivative of -3*p**2 - 18*p + 6857. Calculate -j(i) + 4*x(i).
2*i + 14
Let x(t) = -12*t - 21. Let g(w) = -12*w - 20. Calculate -7*g(d) + 8*x(d).
-12*d - 28
Let o(k) = -108 - 103 - 100 + 312. Let m(y) = 2*y + 18. Let a(l) = -5*l**3 + l. Let u be a(1). What is u*m(j) + 72*o(j)?
-8*j
Suppose 2*y = 209 - 17. Let m = y + -91. Let f(r) = -4*r**3 + r**2 - 5*r + r - m - 5*r. Let v(z) = -10*z**3 + 2*z**2 - 22*z - 12. Calculate -12*f(n) + 5*v(n).
-2*n**3 - 2*n**2 - 2*n
Let n(p) = p**3 + p**2 - 3. Let s(c) = -1565*c**3 + 7*c**2 + c - 27. What is 9*n(l) - s(l)?
1574*l**3 + 2*l**2 - l
Suppose -18 = 3*v - 33. Suppose -27 = 2*w + v. Let f = -10 - w. Let x(g) = 26*g + 20. Let i(s) = -9*s - 7. Give f*x(t) + 17*i(t).
3*t + 1
Let c be (635/20 + -4)/((-3)/(-8)). Suppose -5*k = -c - 51. Let y(q) = 53*q**2 - k*q**2 - 29*q**2. Let t(b) = -6*b**2. What is -t(h) + 5*y(h)?
h**2
Let x(b) be the third derivative of b**4/24 - 2*b**3/3 + 3*b**2 - 318*b. Let m(y) = 2*y - 5. Calculate -3*m(u) + 4*x(u).
-2*u - 1
Let v(s) = 2397*s - 35. Let t(b) = -1199*b + 15. Determine 14*t(u) + 6*v(u).
-2404*u
Let c(h) = 84*h + 11. Let i(t) = 85*t + 12. Calculate 4*c(z) - 3*i(z).
81*z + 8
Let m(s) = 4*s**2 - 6*s + 19. Let o(g) = 2*g**2 - 3*g + 9. Suppose -31*z - 77 - 229 = -27. Calculate z*o(q) + 4*m(q).
-2*q**2 + 3*q - 5
Let i(l) = -100*l**2 - 12*l - 3. Let x(k) = -102*k**2 - 11*k - 2. Calculate 2*i(f) - 3*x(f).
106*f**2 + 9*f
Let w(j) = j**3 + j. Let h = 2830 + -2832. Let q(r) = -3*r**3 - r. Determine h*w(n) - q(n).
n**3 - n
Let k(m) be the third derivative of -m**4/4 + 5*m**3/6 + 24*m**2. Let o(r) = 124*r - 253. Let a be o(2). Let t(n) = 4*n - 3. What is a*k(f) - 8*t(f)?
-2*f - 1
Suppose 0 = -5*b + 6*b + g + 20, 4*g + 4 = 0. Let z = b - -21. Let c(f) = -332 - f**z + 3*f + 332. Let l(y) = y**2 - 4*y. Calculate 4*c(p) + 3*l(p).
-p**2
Let x(q) = 2*q + 8. Let y(w) = w**3 - 9*w**2 + 21*w + 1. Let v be y(5). Let b(s) = 3 + 4*s + v - 2*s + 2*s - 2*s. Determine -3*b(l) + 4*x(l).
2*l + 5
Let s(r) = 42*r**2 - 29*r - 9. Let a(u) = -83*u**2 + 53*u + 17. Calculate -6*a(k) - 11*s(k).
36*k**2 + k - 3
Let r(x) = 4511*x**3 - 2*x + 12. Let l(a) = 9021*a**3 - 5*a + 31. What is 2*l(q) - 5*r(q)?
-4513*q**3 + 2
Let o(t) = 2*t**2 - 3*t - 1. Let r(z) = -14*z**2 + 6*z - 8. What is 3*o(k) + r(k)?
-8*k**2 - 3*k - 11
Let f(j) = -j. Let d(s) = 18*s + 56. Give -d(r) - 5*f(r).
-13*r - 56
Let u = -22793 - -22800. Let w be (-34)/8 - (-4)/16. Let x(v) = 3*v**2 + 8*v. Let c(q) = 5*q**2 + 15*q. What is u*x(b) + w*c(b)?
b**2 - 4*b
Let v(w) = 2 + 3*w + w + 2*w. Let b(i) be the third derivative of 1/6*i**3 + 0 + 174*i**2 + 0*i + 1/6*i**4. Calculate 7*b(l) - 5*v(l).
-2*l - 3
Let w(m) = -47*m - 46*m + 144*m + 2 - 53*m. Let i = 172 - 174. Let t(o) = -2*o + 3. What is i*w(a) + 3*t(a)?
-2*a + 5
Let d(c) be the third derivative of -13/24*c**4 + 0*c**3 + 0 + 0*c - 2*c**2. Let z(j) = 12*j. What is -3*d(w) - 4*z(w)?
-9*w
Let z(f) = f**2 + f - 1. Suppose -406*r + 404*r - 6 = 0, -4*j = 4*r. Let h(k) = -5*k**2 - 3*k + 36. Determine j*z(n) + h(n).
-2*n**2 + 33
Let z be 16/4 - (1/(-11) - (-392)/77). Let s(y) = -8*y**3 - 13*y**2 - 6*y - 9. Let r(q) = q**3 + q**2 + q + 1. What is z*s(w) - 6*r(w)?
2*w**3 + 7*w**2 + 3
Let f(r) = 540*r**2 - 99*r. Let n(q) = -6*q. Let z(s) = -s**2 - 2*s. Let o(p) = -4*n(p) + 11*z(p). Give 6*f(b) + 297*o(b).
-27*b**2
Let b(l) = -4*l**2 + 900*l - 20. Let o(w) = 2. Give -b(z) - 10*o(z).
4*z**2 - 900*z
Let t = -2010 + 2014. Let c(h) = -6*h**2 - 2*h + 3. Let i(u) = 11*u**2 + 4*u - 6. What is t*i(q) + 7*c(q)?
2*q**2 + 2*q - 3
Let q(u) = 79*u + 48. Let n(p) = -32*p - 23. Calculate -9*n(k) - 4*q(k).
-28*k + 15
Let q = -216 + 240. Let u(l) = -q*l + 1 + 6*l + 19*l. Let k(f) = 4*f + 3. Determine -k(y) + 3*u(y).
-y
Let i(o) = 3*o**2 + 6*o. Suppose 3*c = -b + 12, 2*b = -c + 21 - 7. Let v(u) = -4*u + b*u + 0*u + u**2 + 0*u. Let q = 4 + -6. Calculate q*i(t) + 7*v(t).
t**2 + 2*t
Let t(j) = j - 1. Let f(r) = -4*r - 3. Let n(l) = l - 22. Let c be n(23). Let x(b) = -b + 1. Let m(g) = c*f(g) - 6*x(g). What is m(z) - 3*t(z)?
-z - 6
Let v(g) = -g. Let l(i) = 542*i - 1627. Let u be l(3). Let b(a) = -9*a - 2. Calculate u*b(y) + 3*v(y).
6*y + 2
Let p be ((-64)/(-144))/(((-2)/6)/((-3)/(-2))). Let x(k) = -2*k**3 - k**2 - 3. Let u(l) = -2*l**3 - 2*l**2 - 4. Calculate p*u(r) + 3*x(r).
-2*r**3 + r**2 - 1
Let m(u) = 3*u - 3. Let g be m(9). Let i be ((-1)/2)/(4/g). Let t(v) = 6*v + 1. Let c(a) be the first derivative of 3*a**2/2 + a - 2032. Give i*t(b) + 5*c(b).
-3*b + 2
Let f(i) = -20*i**2 + 59*i - 10. Let x(m) = 10*m - 3. Give -f(a) + 4*x(a).
20*a**2 - 19*a - 2
Suppose 0*k - 9*k = 8*k. Suppose -37*j + 51*j + 14 = k. Let d(w) = 4*w**2 - 3*w + 2. Let n(p) = -p**2. Determine j*d(s) - 3*n(s).
-s**2 + 3*s - 2
Let u(h) = -8*h**2 - 3. Suppose 4*s = -3*c + 1780, 2*c - 1182 = -0*c - 5*s. Suppose -c = 13*t - 76. Let y(k) = -104*k**2 - 40. What is t*u(g) + 3*y(g)?
8*g**2
Let r(m) = 10*m**2 - 2*m + 2. Let c(z) = -27*z - 28. Let y(l) = 5*l + 5. Let b(h) = -2*c(h) - 11*y(h). Give -4*b(n) + 2*r(n).
20*n**2
Let i(j) = -2*j**2 - 18*j - 6. Suppose -69*y - 156 = -43*y. Let v(n) = 2*n**2 + 18*n + 5. What is y*v(t) - 5*i(t)?
-2*t**2 - 18*t
Let m(j) = -69*j - 17. Let o(a) = 1. Let z(r) = 23*r. Let h(d) = -6*o(d) - z(d). Determine 17*h(g) - 6*m(g).
23*g
Let p(a) = 2*a + 4. Let u be (2/(-7))/(8/(-42))*(-180)/27. Let i(s) = -s - 1. Calculate u*i(d) - 3*p(d).
4*d - 2
Let x(w) = -w**3. Let f(p) = 36*p**3 - 82*p**2 - 18*p. Let h(z) = -9*z**3 + 18*z**2 + 4*z. Let t(k) = 2*f(k) + 9*h(k). Determine t(q) - 4*x(q).
-5*q**3 - 2*q**2
Let z be 14 + 1 + 38 + -58. Let g(o) = -3*o + 3. Let h(k) = k. Calculate z*h(x) - g(x).
-2*x - 3
Let w(f) = 2*f**2 + 3*f + 3. Let g(r) = 17*r + r**2 - 13*r - 3*r - 2*r. Determine 3*g(k) + w(k).
5*k**2 + 3
Let p(g) = -4*g**3 - 2. Let i(w) be the third derivative of -w**6/120 - w**3/6 + 391*w**2. Suppose d + d = -34. Let j = d - -16. Determine j*p(l) + 2*i(l).
2*l**3
Let y(p) = -41*p**2 + 2*p + 34. Let n(a) = -21*a**2 + a + 17. Determine -5*n(d) + 3*y(d).
-18*d**2 + d + 17
Let u(c) = 6*c**2 - c + 1. Let r(v) = 19*v**2 - 4*v + 4. Let a(s) = 2*r(s) - 7*u(s). Let y = -1349 + 1351. Let m(g) = g - 1. Determine y*a(t) + 2*m(t).
-8*t**2
Let v = 40749 - 40755. Let n(q) = -4*q**2 - 6*q + 3. Let c(h) = h**2 + h - 1. Calculate v*c(b) - 2*n(b).
2*b**2 + 6*b
Let b(o) be the second derivative of o**4/12 - 11*o**3/6 - o**2 + 235*o - 4. Let i(a) = a**2 - 6*a - 1. What is -6*b(x) + 11*i(x)?
5*x**2 + 1
Let s(p) = p. Let j = 56 - 152. Let y = j + 99. Let b(q) = 109*q - 4*q**y + 6*q**3 - 108*q + 3. Give b(o) - s(o).
2*o**3 + 3
Suppose 18 = 3*n - 2*j, -4*n + 4*j + 4 = -20. Let i(c) = c**2 - 8*c - 4. Let m(v) = -v**2 + 7*v + 3. Give n*i(w) + 7*m(w).
-w**2 + w - 3
Let x(j) = -12*j**2. Let t(f) be the third derivative of -11*f**5/60 + f**3/6 + 1529*f**2. Determine 3*t(k) - 2*x(k).
-9*k**2 + 3
Let y(a) = -a - 12. Let q(r) = 12*r + 797. Calculate -q(n) - 10*y(n).
-2*n - 677
Let h(k) = 6*k - 2. Let s(i) = 6 + 5*i - 11 + 2. Let j(d) = -6*h(d) + 7*s(d). Let v(q) = 1. Suppose -55*x - 69 - 41 = 0. Give x*j(w) - 14*v(