19*m + 5. Let n(c) = -3*c**3 + 2*c**2 + 9*c - 3. Determine 3*j(v) + 5*n(v).
3*v**3 + v**2 - 12*v
Let s(n) = -19*n**3 + 7*n**2 + 7*n + 7. Suppose -5*x + 14 = -7*x. Let h(w) = -10*w**3 + 4*w**2 + 4*w + 4. What is x*h(q) + 4*s(q)?
-6*q**3
Let v(c) = -2*c**2 - 8*c + 10. Let i(h) = -4*h**2 - 18*h + 21. What is -3*i(l) + 7*v(l)?
-2*l**2 - 2*l + 7
Let z(s) = s. Let h(f) = 5*f - 3 + 1 - f + 4. Let i(r) = h(r) - 2*z(r). Let k = -2 + 3. Let d(q) = -1. Calculate k*i(c) + 2*d(c).
2*c
Let v(s) = -s + 3. Let o(b) = -3*b + 7. Suppose -4*y + 4 = 2*x - 30, 3*y = 12. Calculate x*v(t) - 4*o(t).
3*t - 1
Let v(b) = -2*b**2 + 5*b. Let z(x) = 1. Let g(q) = 3*q**2 - 7*q + 5. Let p(r) = 2*g(r) - 10*z(r). Calculate -6*p(h) - 17*v(h).
-2*h**2 - h
Let l(d) = d**3 - d**2 + 1. Let g(z) = -z**3 - 4*z**2 + 34. Determine g(i) - 4*l(i).
-5*i**3 + 30
Suppose -92 = -9*o - 11. Suppose -b + 3*j + 21 = b, 0 = -b + j + o. Let a(f) = -5*f**2 + 8*f + 5. Let q(t) = 6*t**2 - 9*t - 6. Calculate b*q(s) + 7*a(s).
s**2 + 2*s - 1
Let u(r) = 2*r**2 + 1. Let l(q) = -10*q**2 - 6. Let n(y) = l(y) + 4*u(y). Let w(s) = 2*s**2 - s + 2. Give 4*n(z) + 3*w(z).
-2*z**2 - 3*z - 2
Let s be (-4 + 5)/2*144. Let m = s + -65. Let x(p) = -3*p + 7. Let l(h) = 2*h - 5. Determine m*l(r) + 5*x(r).
-r
Let m(l) = -1205*l**3 + 2*l**2 - 6*l - 4. Let x(j) = 725410*j**3 - 1205*j**2 + 3615*j + 2410. Give -1205*m(d) - 2*x(d).
1205*d**3
Let h = 1732 - 1731. Let y(f) = -f**2 + 3*f + 3. Let t(n) = -n. Give h*y(d) + 2*t(d).
-d**2 + d + 3
Let r(u) = -3084*u**2 - 30*u - 15. Let w(o) = 771*o**2 + 8*o + 4. Calculate -4*r(k) - 15*w(k).
771*k**2
Let g(h) = -5*h**3 + 2*h**2 - 10*h - 1. Let k(m) = -6*m**3 + 2*m**2 - 11*m - 2. Calculate -5*g(o) + 4*k(o).
o**3 - 2*o**2 + 6*o - 3
Let r(n) = -9*n**3. Let o(u) = -5*u**3. Let g(c) = -2*c - 14. Let w be g(-9). Suppose -w*p + 29 = 3*m, 3*p - m = -5*m + 13. Determine p*o(i) - 6*r(i).
-i**3
Let j(g) be the third derivative of 7*g**5/60 - g**4/6 - 2*g**3/3 + 25*g**2. Let o = -22 - -18. Let q(k) = 15*k**2 - 9*k - 9. Calculate o*q(y) + 9*j(y).
3*y**2
Let k(l) = 2*l - 10*l + 16*l**2 - 20*l**2 - 4*l**3 + 13*l. Let i(x) = -13*x**3 - 13*x**2 + 16*x. What is -2*i(q) + 7*k(q)?
-2*q**3 - 2*q**2 + 3*q
Let t(z) = 4898*z**2 + 248*z - 248. Let p(m) = 59*m**2 + 3*m - 3. Calculate -248*p(a) + 3*t(a).
62*a**2
Let j(w) = -4*w - 4. Let p be j(-2). Let q(l) = l + 6. Let b be q(-5). Let a(h) = 7*h**2 + 4. Let n(v) = -v**2 - 1. What is b*a(u) + p*n(u)?
3*u**2
Let l(d) = 2*d - 565. Let o(w) = -w + 283. Give 2*l(g) + 5*o(g).
-g + 285
Let l(q) be the second derivative of -4*q - 1/6*q**3 - 1/2*q**2 + 0. Suppose 4*g = -3*r + 39, 3*g - 5*r + 13 = g. Let c(p) = 7*p + 5. What is g*l(y) + c(y)?
y - 1
Let m(y) = -22*y**2 - 19*y + 3. Let h(k) = -47*k**2 - 37*k + 7. Calculate -3*h(b) + 7*m(b).
-13*b**2 - 22*b
Let m(o) = -2*o**2 - 8*o + 8. Let p = 93 + -86. Let d(b) = -54*b**2 + 56*b**2 - 2*b + 11*b - 9. Determine p*m(z) + 6*d(z).
-2*z**2 - 2*z + 2
Suppose -299 = -4*q + 201. Let n(a) = q - 125 + 2*a**2 - 5*a. Let r(o) = -o**2 + 4*o. Determine 3*n(k) + 4*r(k).
2*k**2 + k
Let h(z) = 6*z**3 + 3*z**2 + z + 1. Let i(k) = k**3 + k. Calculate -h(p) + 4*i(p).
-2*p**3 - 3*p**2 + 3*p - 1
Let i(d) = -73*d**2 - 16*d + 1. Let b(z) = -36*z**2 - 7*z. Give -5*b(o) + 2*i(o).
34*o**2 + 3*o + 2
Let d(i) = i**3 + 1. Let u(h) = 1. Suppose -c = 2*g - 2, -g - 3*g - 16 = -3*c. Let n be g/((-3)/(-12)*-2). Let m = 14 + -16. Calculate m*d(q) + n*u(q).
-2*q**3
Let l be (3/(-4))/(-7 + 285/40). Let a be l*(40/(-15))/(-4). Let s(b) = 2*b**3 + 4*b**2 + 5*b - 2. Let d(i) = 2*i**3 + 3*i**2 + 4*i - 2. Give a*d(y) + 3*s(y).
-2*y**3 - y + 2
Let r(m) = -m + 4. Let c(k) = k - 4. Give 4*c(s) + 3*r(s).
s - 4
Let f(b) = 3785*b**2 - 2*b + 3*b - 3791*b**2 - 5*b. Let m(s) = -5*s**2 - 3*s. What is -4*f(u) + 6*m(u)?
-6*u**2 - 2*u
Let g(h) = -11*h**3 + 5*h**2 - 56*h + 4. Let z(s) = -13*s**3 + 6*s**2 - 56*s + 5. Give 6*g(k) - 5*z(k).
-k**3 - 56*k - 1
Let l(n) = -7*n**2 + 67*n - 5. Let p(g) = 17*g**2 - 133*g + 11. Determine 7*l(y) + 3*p(y).
2*y**2 + 70*y - 2
Let y(b) = b**3 + 3*b**2 - 3*b + 2. Suppose -5*t + 19 = 4. Let p(x) = -9*x**2 - 4*x + 13*x**2 + 0 + t - x**3 + 3*x**3. What is -3*p(k) + 4*y(k)?
-2*k**3 - 1
Let u(f) = 7*f**2 + 6. Let v(j) be the first derivative of j + 431. Give u(g) - 6*v(g).
7*g**2
Let p(r) = 1989*r - 27. Let n(w) = -153*w + 2. Determine -54*n(t) - 4*p(t).
306*t
Let i(m) = 4*m + 2. Let b = 33 - 22. Let y(l) = 4*l - 7*l + b + 24*l. Determine 22*i(z) - 4*y(z).
4*z
Let t(p) be the second derivative of -7*p**3/6 + 3*p**2 - 18*p. Let o(z) = 8*z - 7. What is 5*o(f) + 6*t(f)?
-2*f + 1
Let g(f) = -f - 2. Let y(c) = c**2 - c - 2. Suppose 0 = k - 2. Suppose 0 = 7*t + 103 - 82. Calculate k*y(h) + t*g(h).
2*h**2 + h + 2
Let g(i) = -i**2 - 1. Let l(t) be the second derivative of t**3/3 + 3*t**2/2 + 40*t + 2. Give -3*g(d) - l(d).
3*d**2 - 2*d
Let p(k) = 4*k**2 + 7*k - 9. Let t = 3 + -7. Let s(c) = -14*c**2 + 27*c - 2. Let y(g) = -12*g**2 + 22*g - 1. Let o(j) = 5*s(j) - 6*y(j). Give t*p(z) + 9*o(z).
2*z**2 - z
Let j(h) = -223*h**2 + 7*h. Let s(p) = -112*p**2 + 3*p. Give 3*j(r) - 7*s(r).
115*r**2
Let v(o) = -o**3 + 1. Let x(z) = 8*z**3 - 16. Suppose 10*t + 16 = 6. What is t*x(l) - 16*v(l)?
8*l**3
Let x(i) = 6*i - 29. Let d(b) = -3*b + 14. Calculate 7*d(p) + 4*x(p).
3*p - 18
Let g(r) = r**2 - r + 1. Suppose s = -2*b - 5, 3*b + 2 = 4*s - 0. Let i(a) = -a**2 + 6*a - 2. Let y = 1 + -5. Calculate s*i(j) + y*g(j).
-3*j**2 - 2*j - 2
Let g(v) = v**3. Let d(m) = -2*m**2 + 1. Let q be d(1). Let n = 62 + -65. Let s(c) be the second derivative of -c**5/5 - 10*c. Calculate n*g(p) + q*s(p).
p**3
Let m(p) = -17*p**2 + 107*p - 5. Let i(c) = -21*c**2 + 108*c - 6. What is 4*i(t) - 5*m(t)?
t**2 - 103*t + 1
Suppose -7*p = 2*k - 9*p, 0 = 4*k - 3*p + 2. Let w(q) = -4*q**3 - 2*q**2 - 2*q. Let l(u) = 5*u**3 + 3*u**2 + 3*u. What is k*l(a) - 3*w(a)?
2*a**3
Let i(q) = q**2 - 4*q - 4. Let y(u) be the second derivative of u**4/6 - 3*u**3/2 - 9*u**2/2 + 6*u - 3. Calculate -9*i(h) + 4*y(h).
-h**2
Let c(x) = x - 2. Let w(h) = -7*h + 5*h + 15 - 7*h + 12 - 3*h. Let m(a) = a**2 + 2*a - 1. Let i be m(1). Calculate i*w(q) + 27*c(q).
3*q
Let g(o) be the first derivative of 9*o**4/4 - o**2/2 + 3*o - 1. Suppose -33 = 12*h + 27. Let z(m) = 5*m**3 - m + 2. What is h*z(p) + 3*g(p)?
2*p**3 + 2*p - 1
Let i(b) = 240*b**2 - 4*b - 7. Let p(a) = -160*a**2 + 3*a + 5. What is 5*i(z) + 7*p(z)?
80*z**2 + z
Let t(p) = -p. Let s(o) = -o**2 + 7*o - 2. Let z(y) = s(y) + 5*t(y). Let h(q) = -2*q**2 - 11 - 3 - 6 + 9 + 11*q - 4*q**2. Calculate -2*h(r) + 11*z(r).
r**2
Let w(r) = -4*r + 1. Let j(y) = 79*y - 7. Give -j(c) - 3*w(c).
-67*c + 4
Let y(l) = 2*l**3 + 3 + l**2 - 1 - 3*l**2 - 3*l. Let r(j) = 5*j + 7*j**3 - 12*j + 4 - 5*j**2 - 3*j**3. Calculate 2*r(c) - 5*y(c).
-2*c**3 + c - 2
Let c(m) = 2*m**2 - 9*m - 4. Let l(g) = 4*g**2 - 17*g - 6. Let y(q) = -7*c(q) + 4*l(q). Let v(f) = 2*f**2 - 6*f + 5. Determine 5*v(u) - 6*y(u).
-2*u**2 + 1
Let s(h) = -17*h**3 + 49*h**2 + 6*h - 6. Let a(o) = -15*o**3 + 47*o**2 + 5*o - 5. Determine 6*a(y) - 5*s(y).
-5*y**3 + 37*y**2
Let m(h) = -h**2 + h - 2. Let u(y) = -2 - 1 + 4 - 1 - 1. Determine 3*m(i) - 8*u(i).
-3*i**2 + 3*i + 2
Let h(x) = -12*x. Let b(l) = 19*l + 1. Give 5*b(f) + 8*h(f).
-f + 5
Let u(a) = 5*a**3 + 21*a**2 + 8*a - 6. Let l(g) = -5*g**3 - 19*g**2 - 7*g + 5. What is -6*l(b) - 5*u(b)?
5*b**3 + 9*b**2 + 2*b
Let y(l) = -6*l**2 + 3*l - 3. Let k be (-14 + 11)*18/(-2). Let n(m) = -1 - 26*m - m**2 + 0*m**2 + k*m + 0*m**2. Determine -6*n(z) + 2*y(z).
-6*z**2
Let c(y) = -10*y - 13*y + 581 - 290 - 291. Let h(k) = 24*k. Give 5*c(d) + 4*h(d).
-19*d
Let w(t) = 7. Let i(f) = -13. Let v(d) = -6*i(d) - 11*w(d). Let b = -8482 + 8462. Let c(s) = 5*s - 20. Calculate b*v(x) - c(x).
-5*x
Let u(f) = -2*f. Let d(t) = 8*t - 89. Determine d(l) + 2*u(l).
4*l - 89
Suppose 8*r - 12*r = -12. Let g(o) = -o**2 - 2*o - 3. Let h(v) = 4 - 2 - 1. Let s be 2/(-8) + 5/4. Give r*h(m) + s*g(m).
-m**2 - 2*m
Let x(b) = -6*b**3 - 2*b - 11. Let o(p) = -12*p**3 - 5*p - 20. What is -2*o(m) + 5*x(m)?
-6*m**3 - 15
Let g(r) = -29*r + 119. Let d be g(4). Let l(n) = 2 + n - 3 - 1. Let z(i) = 2*i - 5. What is d*z(u) - 8*l(u)?
-2*u + 1
Let k(v) = -1314*v**2 + 5*v + 5. Let j(u) = -460557*u**2 + 1752*u + 1752. Determine -5*j(t) + 