g(l) + 4*i(l)?
-4*l
Let u(l) = 13*l - 1. Let k(m) = -1462*m - 3. Calculate k(s) - 3*u(s).
-1501*s
Let q = -2 + 6. Let h = -3 + q. Let v(o) = -8*o + 4. Let b(z) be the first derivative of -z**2/2 + 166502. Calculate h*v(n) - 10*b(n).
2*n + 4
Let x(q) = -4. Let f(b) = -4*b**2 + 273*b + 14. Calculate -f(r) - 3*x(r).
4*r**2 - 273*r - 2
Let b(g) = 24*g + 1. Let x(f) = -9030*f + 14. What is 12*b(q) - x(q)?
9318*q - 2
Let o(d) be the first derivative of 2*d**3 - d**2/2 - 6*d - 3151. Let c(u) = -5*u**2 + u + 5. Determine 7*c(p) + 6*o(p).
p**2 + p - 1
Let r(i) = 47*i**2 + 7*i - 52. Let z(w) = -124*w**2 - 20*w + 155. Give 8*r(g) + 3*z(g).
4*g**2 - 4*g + 49
Let z(y) = 15 - 24 - 5*y + 11. Let u(n) = 125 - 70 - 56 + 5*n. Calculate -4*u(c) - 3*z(c).
-5*c - 2
Let a(d) = -9*d**3 - 6*d**2 + 4*d - 1. Let q(i) be the second derivative of -1/12*i**4 - 1/20*i**5 + 56 + 0*i**2 + 1/6*i**3 - 2*i. Calculate -a(p) + 6*q(p).
3*p**3 + 2*p + 1
Let s(k) = -4*k**2 - 11. Let t = 6380 - 6369. Let y(q) be the first derivative of -q**3/3 - 4*q - 8. Give t*y(l) - 4*s(l).
5*l**2
Let o(x) = 5*x**3 - 10*x + 10. Let y(k) = -k**3 + k - 1. Suppose 4*g + 2*w - 2 = 2, 5*g - w - 12 = 0. Suppose 3 = g*u + u. Calculate u*o(c) + 10*y(c).
-5*c**3
Let g(c) = 21*c**2 - c + 1. Let o(a) = -14*a**3 + 129*a**2 - 8*a + 9. Give 6*g(j) - o(j).
14*j**3 - 3*j**2 + 2*j - 3
Let h(i) = -2*i**2. Let w(r) = -r**3 + 10*r**2 - 76*r - 6. Determine 5*h(a) + w(a).
-a**3 - 76*a - 6
Let h(i) = -19*i**2. Let m(f) = -f**2. Let v = -16046 + 16048. Give v*h(t) + 4*m(t).
-42*t**2
Let h(b) = -352*b**3 + 66*b - 66. Let l(n) = 27*n**3 - 5*n + 5. Suppose 2*o + 141 = 11*z - 8*z, -o - 5*z - 51 = 0. Determine o*l(s) - 5*h(s).
-22*s**3
Let b(z) = -3*z**3 + 61*z**2 + 40*z - 6. Let y(s) = -4*s**3 + 61*s**2 + 48*s - 7. Determine -5*b(l) + 4*y(l).
-l**3 - 61*l**2 - 8*l + 2
Let h(p) = p. Let n = 92 - 96. Let a(y) = -2*y**2 + 21*y - 28. Let t be a(9). Let v(k) = -4*k**2 - 4*k - 2. Give n*h(q) + t*v(q).
4*q**2 + 2
Let u(w) = -7*w**2 - 2*w - 2. Let t(h) = 18*h**2 + h - 12. Let k(f) = 8*f**2 - 7. Let g(x) = 11*k(x) - 6*t(x). Determine -6*g(v) + 17*u(v).
v**2 + 2*v - 4
Let j(l) = 3*l**2 - 3*l. Let d(g) = 52960*g**2 - 49650*g. Give d(a) - 16550*j(a).
3310*a**2
Let l(c) = -3*c**2 - 3*c + 3. Let d(z) = -1324 + 13*z**2 + 0*z**2 - 1316 + 2624 + z**2 + 16*z. Calculate 3*d(v) + 16*l(v).
-6*v**2
Let g be -10 - (1 + 45/9 - 18). Let c(n) be the first derivative of 1/3*n**3 + 37 + 0*n - 1/2*n**g. Let w(p) = -4*p**2 + 2*p - 1. Give -2*c(v) - w(v).
2*v**2 + 1
Let a(u) = 2*u**3 + 5*u - 2. Let l be (-36)/(-18)*(-1 - -2). Let m(i) = -70 - i**3 - 3*i**l + 3*i**2 - 4*i + 72. What is -4*a(g) - 5*m(g)?
-3*g**3 - 2
Let w(q) = -175*q**2 + 15*q - 12. Let t(p) = 351*p**2 - 29*p + 22. Determine 6*t(f) + 11*w(f).
181*f**2 - 9*f
Let z(t) be the third derivative of 13*t**5/60 - 3*t**4/8 + 3*t**3/2 - 21*t**2. Let q(r) = 3*r**2 - 14*r - 1 + 79*r - 34*r + 3 - 33*r. What is -9*q(a) + 2*z(a)?
-a**2
Let p(b) = 5*b + 677. Let w(h) = -h - 169. Calculate 2*p(o) + 9*w(o).
o - 167
Let c(n) be the third derivative of 0*n**3 + 0 - 1/24*n**4 + 0*n - 42*n**2. Let r(w) = -12*w. Calculate c(t) - r(t).
11*t
Let o(d) = -d + 1. Let m(p) = -1172*p + 393*p + 387*p + 9 + 393*p. Give m(a) + 2*o(a).
-a + 11
Let o(r) = 48*r**3 + 107*r**2 + 29*r - 33. Let g(c) = 10*c**3 + 21*c**2 + 6*c - 7. What is -19*g(k) + 4*o(k)?
2*k**3 + 29*k**2 + 2*k + 1
Let k(c) = -3*c - 272. Let j(w) = w**2 + 6*w + 539. Determine 2*j(q) + 5*k(q).
2*q**2 - 3*q - 282
Let d(k) = -28*k**3 - 3*k**2 + 11*k - 10. Let g(i) = i**2 - 2*i + 3. Determine -d(r) - 3*g(r).
28*r**3 - 5*r + 1
Let p(z) = -z**2 - 3*z. Let q(i) = -24*i**2 - 8*i + 3. Determine -3*p(o) + q(o).
-21*o**2 + o + 3
Let h(c) = -84*c - 30. Let b(m) = -3*m - 1. Let n(p) = -116*b(p) + 4*h(p). Let x(q) = 11*q - 3. Determine -6*n(w) + 7*x(w).
5*w + 3
Suppose -4*r - 9 = -25. Let c(t) be the first derivative of -7*t**3/3 + 5*t**2/2 - 5*t - 1300. Let s(i) = -6*i**2 + 4*i - 4. What is r*c(p) - 5*s(p)?
2*p**2
Let a(i) = 2*i + 4. Let u = -116245 + 116249. Suppose -5*j = -5*w + 35, -3*j + 4*w = 2*w + 25. Let v(o) = 5*o + 12. What is j*a(f) + u*v(f)?
-2*f + 4
Let v(g) = -4*g - 3. Let j(k) = -3*k - 2. Let m(z) = -3*j(z) + 2*v(z). Let r(l) = -16*l + 1. Let p = 53983 + -53982. Calculate p*r(u) + 6*m(u).
-10*u + 1
Let b(x) = 169*x**2 + 7*x - 19. Let g(r) = -84*r**2 - 4*r + 7. What is 2*b(k) + 5*g(k)?
-82*k**2 - 6*k - 3
Let v(b) = -b**3 + b**2 - b. Let w be ((-1)/5)/(-3 - (-352)/110). Let l(s) = -4*s**3 - 7*s**2 + 6*s + 2. Give w*l(m) - 4*v(m).
8*m**3 + 3*m**2 - 2*m - 2
Let z(t) = t**2 + 1. Suppose 7*i = 2*i - 3*n - 1, -4*n = 2*i + 6. Let x(q) = 5*q**2 - q**2 - 1 + 6 + 3*q**2. Calculate i*x(g) - 5*z(g).
2*g**2
Let k(i) = -i**3 - i**2 + 2*i - 39. Let a be k(0). Let c = 1 - a. Let y = -41 + c. Let o(u) = -3*u + 5. Let j(r) = -1. Give y*o(h) - 3*j(h).
3*h - 2
Let n(p) be the first derivative of -8*p**3/3 + 5*p**2/2 + 1. Let z(a) = -4*a + 3875011714 - 3875011714 + 7*a**2. Calculate 6*n(k) + 7*z(k).
k**2 + 2*k
Let o(k) = -3*k - 8. Let h(z) = z + 1. Suppose -3*r = 2*v - 15 + 7, -2*v + r - 16 = 0. Give v*h(w) - o(w).
-2*w + 3
Let o(u) = 23*u**2 + 66*u + 100. Let p(y) = y**2 + 11*y - 1. What is -o(q) + 6*p(q)?
-17*q**2 - 106
Let m = -24263 - -24274. Let r(s) = -4*s + 14. Let z(y) = -7*y + 27. Let c(t) = -7*r(t) + 3*z(t). Let k(u) = -4*u + 9. Determine m*k(x) + 6*c(x).
-2*x - 3
Let l(c) = c - 6. Let p(n) = 5412*n + 144. What is 24*l(k) + p(k)?
5436*k
Let w = -1 - 0. Let l(p) = 5. Let i(g) = 13. Let t = -183 - -191. Let j(v) = t*l(v) - 3*i(v). Let b(d) = d - 7. Give w*b(a) - 6*j(a).
-a + 1
Let v(u) = 9*u + 64. Let k(x) = 45*x + 318. What is 5*k(g) - 24*v(g)?
9*g + 54
Suppose 9*h - 2436 = 4*h - 2*p, 2448 = 5*h - 4*p. Let v(y) = -4*y**2 - 4 + 493*y - 8 - h*y. Let u(m) = m**2 - m + 3. Determine 9*u(k) + 2*v(k).
k**2 + k + 3
Let g(n) = 2*n**3 + 6*n + 13. Let s(x) = 2*x**3 + 5*x + 13. Let v = 834 - 840. Calculate v*s(m) + 5*g(m).
-2*m**3 - 13
Let c(l) = -9*l + 1. Suppose 0 = -477*h + 491*h + 182. Let w(k) = 4*k - 1. Determine h*w(g) - 6*c(g).
2*g + 7
Let j(n) = -3526*n - 9. Let r(d) = -5291*d - 14. Give 8*j(c) - 5*r(c).
-1753*c - 2
Suppose -3*b + 9 = -6. Let r(d) = -2*d**3 + 5*d**2 + 5*d. Let p(s) be the first derivative of 21*s**4/4 - 56*s**3/3 - 28*s**2 - 84. Calculate b*p(v) + 56*r(v).
-7*v**3
Let r(a) = 14*a + 66. Let i(h) = -7. Let p(f) = 9*i(f) + r(f). Let z(w) = 28*w + 7. Determine 5*p(v) - 2*z(v).
14*v + 1
Let u(f) = -10*f**3 - 4*f**2 - 70*f + 21. Let s(v) = 6*v**3 + 2*v**2 + 37*v - 11. Calculate -11*s(m) - 6*u(m).
-6*m**3 + 2*m**2 + 13*m - 5
Let s(d) = -2*d**3 - 2*d**2 - 2*d - 2. Let m be 10/(-15) - (1 + 44/(-12)). Let r(x) = 5*x**3 + 7*x**2 + 5*x + 7. Give m*r(q) + 7*s(q).
-4*q**3 - 4*q
Let b(g) = 2*g**2 - 352*g + 7. Let z(o) = 6*o - 1. Give -b(x) - 4*z(x).
-2*x**2 + 328*x - 3
Let s(y) be the first derivative of -y**3/3 + y**2/2 + 20. Let w(a) be the first derivative of -11 + 5/2*a**2 - 2*a**3 + 0*a. Give 15*s(d) - 3*w(d).
3*d**2
Let a(m) = -7*m**2 - 5*m**2 + 17*m**2 + m**3 - m**3 - 18*m**3. Let h(p) = -17*p**3 + 6*p**2. Give -6*a(u) + 5*h(u).
23*u**3
Let q(w) = 218*w**2 + 60*w. Let n(u) = 146*u**2 + 40*u. Give -8*n(p) + 5*q(p).
-78*p**2 - 20*p
Suppose 4495*h = 4439*h - 12936. Let p(d) = 11*d - 2. Let i(x) = 418*x - 77. Give h*p(n) + 6*i(n).
-33*n
Let q(t) = -6*t**2 + 4*t. Let s(n) = -7*n**2 + 3*n. Let w = -2727 - -2724. Give w*q(b) + 4*s(b).
-10*b**2
Let y(m) = -13*m + 13*m**2 + 11 - 62 + 15*m**3 + 46 + 18 + 0*m**2. Let j(i) = 4*i**3 + 3*i**2 - 3*i + 3. What is -26*j(b) + 6*y(b)?
-14*b**3
Let q(d) = 4*d**3 - 4*d**2 - 3. Let w(k) be the third derivative of 11*k**6/120 - 11*k**5/60 - 4*k**3/3 - 159*k**2. Calculate 8*q(z) - 3*w(z).
-z**3 + z**2
Suppose -19*f + 22*f = 90. Let l(m) = 5*m - 16. Let r be l(6). Suppose 0 = 16*h - r*h - 10. Let k(t) = -t + 1. Let y(s) = 5*s - 6. What is f*k(u) + h*y(u)?
-5*u
Let j(h) = 1415*h**3 + 11*h**2 + 11. Let z(c) = -942*c**3 - 7*c**2 - 7. What is 5*j(w) + 8*z(w)?
-461*w**3 - w**2 - 1
Let w(n) = -n**3 - 2*n**2 - n - 1. Let a be w(-1). Let v(t) = 3*t**2 - 5*t + 4. Suppose -688*g + 815 = -851*g. Let j(p) = -p**2 + p. Give a*v(b) + g*j(b).
2*b**2 - 4
Let z(w) = -w**2 - w. Let i(y) = 10*y**2 + 5*y. Suppose -52 = -4*j - 28. Let s(x) = 3*x**2 - 19*x + 