a(n) + 4*f(n)?
-16*n**3 - 4
Let c = -405 - -407. Let k(u) = -12*u - 2. Let n(p) = -25*p - 5. Calculate c*n(r) - 5*k(r).
10*r
Let p(r) = -252*r**2 - 5. Let u(b) = -8442*b**2 - 168. What is -168*p(v) + 5*u(v)?
126*v**2
Let m(y) = -6*y**3 - 7*y**2 - 3*y. Let c(r) = -r**2 - r. Let o(w) = -5*c(w) + m(w). Let v(p) = 13*p**3 + 5*p**2 - 5*p. Calculate 5*o(g) + 2*v(g).
-4*g**3
Let z = -2047 + 2054. Let d(u) = -2*u - 10. Let g(x) = -6*x - 31. What is z*d(h) - 2*g(h)?
-2*h - 8
Let f(v) = 3*v**2 - 5*v - 2. Let o(k) = -3*k**2 + 6*k + 1. Let t(s) = 5*f(s) + 4*o(s). Let u(j) = 2*j**2 - j - 5. What is 3*t(l) - 4*u(l)?
l**2 + l + 2
Let k(u) = 4*u**2 + 14*u. Suppose -3*r + 4*h = 11 + 9, -h = 3*r - 5. Let j(a) = r*a**2 + 28*a - a**2 - 31*a. What is 14*j(w) + 3*k(w)?
-2*w**2
Let l(a) = -7*a + 27. Let v(b) = 357 - 1081 - 4*b + 368 + 370. What is 3*l(u) - 5*v(u)?
-u + 11
Let u(z) be the first derivative of z**4/2 - z**3 + 2*z**2 + z + 338. Let m(f) = 6*f**3 - 8*f**2 + 11*f + 2. Suppose -b = -4*b + 24. What is b*u(y) - 3*m(y)?
-2*y**3 - y + 2
Let q(h) = h. Let y(t) = -5 + 3 - 7 - 2 + 14. Determine -q(u) - y(u).
-u - 3
Let j(a) = 32*a**3 + 5*a. Let p(g) = -95*g**3 - 16*g. What is -7*j(b) - 2*p(b)?
-34*b**3 - 3*b
Let p(b) = -56*b - 3. Let t(x) = -109*x - 5. Calculate -7*p(i) + 4*t(i).
-44*i + 1
Let w be 2/3*5/130*39. Let l(k) = -5*k**2 - 6*k - 6. Let p(z) = 5*z**2 + 7*z + 7. Let m(v) = -4*l(v) - 3*p(v). Let f(x) = -x - 1. Determine w*m(d) + 3*f(d).
5*d**2
Let q(a) = 2*a**2 + 1. Let i(j) = -227*j**2 + 3. Give i(c) - 3*q(c).
-233*c**2
Let z(b) = -2*b**2 - b - 2. Let g(d) = -d**3 - 14*d**2 - 287*d - 15. Determine g(u) - 8*z(u).
-u**3 + 2*u**2 - 279*u + 1
Let m(p) = -13*p - 191. Let j(y) = -2*y - 1. Give 6*j(o) - m(o).
o + 185
Let r(d) = 2*d**3 - 2*d**2 + 4*d - 2. Let o(n) = -2*n**3 + 2*n**2 - 3*n + 3. What is -5*o(l) - 4*r(l)?
2*l**3 - 2*l**2 - l - 7
Let q(y) = -y**2 + y - 1. Let p = 13 - 11. Let a(t) = t - 1. Let z(j) = 5*j**2 + 1. Let w(c) = -2*a(c) + z(c). Determine p*q(g) + w(g).
3*g**2 + 1
Let n(r) = 208*r**3 + 11*r. Let b(d) = -208*d**3 - 9*d. Determine -5*b(a) - 4*n(a).
208*a**3 + a
Let i(o) = -o + 65. Let g(d) = -4*d + 196. Give 2*g(a) - 7*i(a).
-a - 63
Let j(d) = d**3 + 24*d**2 - 6*d. Let b(z) = 2*z**2 - z. What is -3*b(k) + j(k)?
k**3 + 18*k**2 - 3*k
Let z(u) = -u**3 - 1. Let l(j) = 2*j**2 + 47*j + 297. Let n be l(-11). Let s(c) = -10*c**3 + c - 11. Give n*z(w) - 2*s(w).
-2*w**3 - 2*w
Let s(p) = 21*p - 82. Let w be s(4). Let z(t) = -t**3 - 2. Let o(h) = -h**3 - 1. What is w*o(y) - z(y)?
-y**3
Let z(p) = 8. Let c(i) = 3*i - 2. Give 5*c(t) + z(t).
15*t - 2
Let j(y) = y. Let z(t) = 158*t. Calculate 3*j(l) + z(l).
161*l
Suppose -7 - 17 = -2*v. Suppose 16 = v*i - 8*i. Let p(d) = d + 17. Let l(c) = c. Let u(h) = i*l(h) - p(h). Let j(x) = -x + 6. Calculate -11*j(o) - 4*u(o).
-o + 2
Let t(v) = 3*v. Let g(h) = -h. Let a be (-20)/60 - (-35)/(-3). Let j be 7/(-2) - (-6)/a. What is j*t(l) - 14*g(l)?
2*l
Let m(g) = 4 - 5 + 3 - 1. Let o(y) be the first derivative of 3*y**2/2 + 2*y + 52. What is 3*m(h) - o(h)?
-3*h + 1
Let p(i) = 6*i**3 - 3*i**2 - 3*i + 3. Let g(y) be the second derivative of 19*y**5/20 - 2*y**4/3 - 4*y**3/3 + 4*y**2 + 2*y + 8. Calculate 3*g(x) - 8*p(x).
9*x**3
Let m = -372 + 376. Let u(h) = 35*h**3 - 25*h**2 + 25*h + 25. Let z(o) = 6*o**3 - 4*o**2 + 4*o + 4. Calculate m*u(s) - 25*z(s).
-10*s**3
Let y = 186 - 177. Let w(a) = a + 1. Let m(d) = -5*d - 4. Determine y*w(p) + 2*m(p).
-p + 1
Let x = 323 - 327. Let d(o) = -o. Let u(l) = -4*l. Give x*u(g) + 12*d(g).
4*g
Suppose -12*k = -17*k + 5*b + 35, -b - 4 = 0. Let f(z) = -z - 5. Let q(t) = 2*t + 4. Determine k*f(v) + 4*q(v).
5*v + 1
Let c(z) = z**2 - 2*z + 1. Let s(q) be the third derivative of q**5/60 + 8*q**2. Let h be (-6 - -2)*(-1)/2. What is h*s(d) - c(d)?
d**2 + 2*d - 1
Suppose 2*u = 2, q + u + 6 = 4*u. Let s(z) = -5*z**3 - 5*z**2 + 7*z - 2. Let x(p) = -2*p**3 - 2*p**2 + 3*p - 1. Calculate q*s(t) + 7*x(t).
t**3 + t**2 - 1
Let o(s) = 2*s**3 + 5*s**2. Let c(t) be the second derivative of 0 + 0*t**3 + 1/10*t**5 + 4*t + 1/2*t**4 + 0*t**2. Give -5*c(q) + 6*o(q).
2*q**3
Let q(g) = -34*g**3 - 3*g**2 + 3. Let d(h) = 102*h**3 + 8*h**2 - 8. Calculate 3*d(z) + 8*q(z).
34*z**3
Let d be (-1)/(-2) + (-14)/4. Let l(k) = 2*k + 1. Let s(n) be the second derivative of n**3/3 + n**2/2 - 70*n. What is d*s(q) + 4*l(q)?
2*q + 1
Let y = 871 - 864. Let n(d) = 2*d**2 - 3*d**3 + 6*d**3 + 2 + 4. Let w(h) = -2*h**2 - 7 - 2 - 3*h**3 + 2. Determine y*n(i) + 6*w(i).
3*i**3 + 2*i**2
Let v(i) = 1. Let k(w) be the second derivative of -w**3/2 + 3*w**2/2 + 350*w. What is -k(o) + 6*v(o)?
3*o + 3
Let m(c) = 5*c**3 - 9*c**2 + 868*c - 13. Let y(p) = -p**3 + 2*p**2 - 217*p + 3. Determine -2*m(d) - 9*y(d).
-d**3 + 217*d - 1
Let v(t) = 5*t**2 - 3*t - 4. Suppose 0 = 13*u - 18*u - 45. Let i(c) = -11*c**2 + 7*c + 8. Determine u*v(x) - 4*i(x).
-x**2 - x + 4
Let b(n) = -20*n**2 + 22*n. Let v(a) = a**2 - a. Determine -4*b(y) - 88*v(y).
-8*y**2
Let u = 1417 + -1416. Let c(a) = -11*a**2 - 6*a + 9. Let h(q) = q**2 + q - 1. What is u*c(m) + 6*h(m)?
-5*m**2 + 3
Let p(m) = 11*m**3 - 22*m**2. Let s(u) be the first derivative of u**4 - 7*u**3/3 + 674. Give 3*p(b) - 8*s(b).
b**3 - 10*b**2
Let k(t) be the third derivative of t**6/40 + t**5/15 + t**4/6 + 2*t**3/3 - 147*t**2. Let f(o) = 5*o**3 + 9*o**2 + 9*o + 9. Give -4*f(l) + 9*k(l).
7*l**3
Let x(q) = 8*q**3 - 6*q**2 + 6*q + 8. Let s(u) = u**3 - u**2 + 1. Let v(j) = 2*s(j) - x(j). Let t(i) = -7*i**3 + 5*i**2 - 7*i - 7. What is 4*t(p) - 5*v(p)?
2*p**3 + 2*p + 2
Suppose 6*r - 49 = -13. Let z(s) = 20*s - r - 29*s - 7. Let k(f) = 4*f + 6. Determine 13*k(o) + 6*z(o).
-2*o
Let x(q) = -3*q**2. Let p(d) = 1320*d**2. What is -4*p(c) - 1680*x(c)?
-240*c**2
Let b(m) = -6*m + 321. Let t(a) = 14*a - 641. What is -5*b(p) - 2*t(p)?
2*p - 323
Let z(p) = 3*p - 3. Let d(i) be the third derivative of -1/3*i**3 - 27*i**2 + 0 + 1/12*i**4 + 0*i. What is 4*d(c) - 3*z(c)?
-c + 1
Let f(a) = 8*a. Let b = 49 - 79. Let j = b - -41. Let u(k) = 23*k. Determine j*f(v) - 4*u(v).
-4*v
Let m(c) = c**3 - 2*c**2 + 2*c. Suppose 0 = 33*b + 11 + 55. Let i(k) = 2*k**3 - 5*k**2 + 5*k - 1. What is b*i(s) + 5*m(s)?
s**3 + 2
Let m(v) = 33*v - 11*v + 25 - 17*v - 15*v. Let l(i) = -7*i + 17. Give -7*l(u) + 5*m(u).
-u + 6
Let r(g) = 2*g**2 + 1. Let w(s) = 9*s**2 - 4*s + 5. Give 4*r(h) - w(h).
-h**2 + 4*h - 1
Let y(i) = -4*i**3 + 2*i**2 + 5*i + 2. Let u(q) be the first derivative of -5*q**4/4 + 2*q**3/3 + 3*q**2 + 3*q + 151. Give 2*u(c) - 3*y(c).
2*c**3 - 2*c**2 - 3*c
Let q(f) = -19*f**2 - 3*f + 2. Let l(k) = -7*k. Calculate l(o) - q(o).
19*o**2 - 4*o - 2
Suppose 5*n + 0*d - 3*d = -36, -3*d = -6. Let s(g) = -2*g. Let t = -14 + 8. Let u(q) = -q**2 - 5*q - 5. Let m be u(t). Let x(v) = v. Give m*x(r) + n*s(r).
r
Let y(u) = 10*u**2 - 7*u + 6. Let z = -39 + 41. Let d(a) = -a**2 + a - 1. Calculate z*y(k) + 14*d(k).
6*k**2 - 2
Let p(t) = 2*t - 484. Let u(o) = -o + 4. Give p(n) + 4*u(n).
-2*n - 468
Let s(h) = -2*h + 11. Let l(a) = 4*a - 21. Let p be -2*-3*12/18. Calculate p*l(o) + 7*s(o).
2*o - 7
Let q(m) = -221*m. Let p(j) = -442*j - 1. What is 2*p(f) - 5*q(f)?
221*f - 2
Let g(t) be the first derivative of 21*t**2/2 - 4*t + 859. Let h(n) = -22*n + 5. Give 3*g(x) + 2*h(x).
19*x - 2
Let u(s) = 5*s**3 + 27*s**2 - 7*s + 7. Let k = -74 + 70. Let v(o) = -3*o**3 - 14*o**2 + 4*o - 4. What is k*u(y) - 7*v(y)?
y**3 - 10*y**2
Let u(n) = -4*n**2 + 7. Let v be 22/(-4) - (-3)/6. Let r = -138 - -98. Let q = r - -47. Let g(c) = -3*c**2 + 5. Determine q*g(f) + v*u(f).
-f**2
Let h(o) = o**2 - 8*o + 60*o + 9 - 65*o. Let c(u) = 1 - 3*u + 2 - 1. Calculate 9*c(r) - 2*h(r).
-2*r**2 - r
Let f(y) = 30*y**2 + 384*y**3 - 388*y**3 - 30*y**2 - 8. Let b(w) = 3*w**3 + 7. Calculate 5*b(u) + 4*f(u).
-u**3 + 3
Let d(y) = 12*y**2 - 18*y + 4. Let f(j) = 5*j**2 - 8*j + 2. Calculate 6*d(u) - 13*f(u).
7*u**2 - 4*u - 2
Let d(h) = -5*h + 2. Let r(t) = 9*t - 4. Calculate -5*d(q) - 2*r(q).
7*q - 2
Let f(b) = 70*b**3 - 2*b**2 + 11*b - 10. Let t(g) = -70*g**3 + 2*g**2 - 9*g + 8. What is 4*f(x) + 5*t(x)?
-70*x**3 + 2*x**2 - x
Let q(v) = -3. Let d(k) = -104*k - 120. What is -2*d(w) + 80*q(w)?
208*w
Let l(z) = z. Let j(t) = 5*t - 1. Let o(v) = -v**2 - 7*v - 7. Let b be o(-5). Give b*l(y) - j(y).
-2*y + 1
Let b