 What is 2*i(f) + r(f)?
-f**3 - f**2
Let b(c) be the second derivative of 35*c**4/6 + 85*c**3/6 - 85*c**2/2 - 72*c - 2. Let n(w) = -5*w**2 - 6*w + 6. Calculate -6*b(v) - 85*n(v).
5*v**2
Let l(k) = -12*k**2 - k + 2. Let j(f) = 16*f**2 + f - 3. Determine 4*j(q) + 5*l(q).
4*q**2 - q - 2
Let k(w) = -76*w**3 - 4*w + 2. Let p(q) = 38*q**3 + 2*q - 1. Determine -4*k(s) - 7*p(s).
38*s**3 + 2*s - 1
Let h(c) = -6*c**2 + 4*c - 4. Suppose -4*a - 2 = -18. Let v(j) = -24*j**2 + 15*j - 15. What is a*v(q) - 15*h(q)?
-6*q**2
Let s(f) = -21*f**2 - 18*f + 18. Let j = -20 + 22. Suppose -5*k + 5 = 2*g - 22, 3*g = k - j. Let m(x) = 6*x**2 + 5*x - 5. Determine k*s(t) + 18*m(t).
3*t**2
Let i(x) = 20*x**2 + 22*x + 2. Let l(o) = -10*o**2 - 10*o - 1. Give 4*i(p) + 9*l(p).
-10*p**2 - 2*p - 1
Let n(a) = a**3 + a**2 + 1. Let z(q) = 102*q**3 + 5*q**2 + 5. Calculate -15*n(u) + 3*z(u).
291*u**3
Let a be 5/((-10)/(-12)) + -2. Let s(b) = 3*b**3 - 2*b**2 + 6*b + 5. Let k(n) = -n**2 + 3*n**3 + 5*n + 21301 - 21297 - n**3. Calculate a*s(u) - 5*k(u).
2*u**3 - 3*u**2 - u
Let i(d) = 2*d**3 + 6*d**2 - 2*d. Suppose 3*c = 3*a + 24, a - 3*a = 4*c - 20. Let g(v) = -v**2. Let m = -27 - -28. Give c*g(n) + m*i(n).
2*n**3 - 2*n
Let m(z) = -51*z**2 + 30. Let k(n) = 5*n**2 - 3. Let q be ((-4)/(-1))/(-1) + 2 + 4. Determine q*m(x) + 21*k(x).
3*x**2 - 3
Let n(o) = -o**2 - 14. Let i be n(0). Let h(a) = -24*a + 4 + 9 + 1. Let c(x) = -5*x + 3. What is i*c(q) + 3*h(q)?
-2*q
Let g(f) be the third derivative of 0 + 17*f**2 - 1/12*f**4 + 0*f + 2/3*f**3. Let b(w) = -5*w + 11. Determine 4*b(z) - 11*g(z).
2*z
Suppose 16*g = 33*g - 221. Let p(s) = 11*s. Let d(o) be the third derivative of 2*o**2 - 5/24*o**4 + 0 + 0*o**3 + 0*o. Calculate g*d(h) + 6*p(h).
h
Let p(s) be the second derivative of -s**5/60 + s**4/24 - s**3 + 13*s. Let m(a) be the second derivative of p(a). Let b(r) = -9*r + 6. What is 2*b(i) - 11*m(i)?
4*i + 1
Let m(f) be the first derivative of -f**3/3 + 40. Let g(y) = -12*y**2. What is g(w) - 3*m(w)?
-9*w**2
Let k(u) = -117*u**3 + 2*u**2 + 4*u + 2. Let b(s) = s**2 + s + 1. Calculate -2*b(q) + k(q).
-117*q**3 + 2*q
Let f(r) = 2176*r**3 - 7*r**2 + 14. Let k(j) = 1088*j**3 - 3*j**2 + 6. Calculate 3*f(d) - 7*k(d).
-1088*d**3
Let o = -203 + 196. Let n(l) = -9*l - 13. Let q(v) = 3*v + 4. Determine o*q(i) - 2*n(i).
-3*i - 2
Let a(o) = 2014*o. Let i(j) = -76*j. What is 5*a(q) + 133*i(q)?
-38*q
Let l(m) = 18*m + 24. Let b(p) = -21*p - 22. What is -5*b(n) - 6*l(n)?
-3*n - 34
Let o(s) = -559*s**3 + 43*s. Let w(a) = 79*a**3 - 6*a. Give 6*o(z) + 43*w(z).
43*z**3
Let q(o) = 6*o**3 + 5*o + 1. Let a(g) = 7*g**3 + 6*g + 1. Suppose 5*u - 2*s = -14 - 313, 2*s + 128 = -2*u. Let w = 60 + u. What is w*a(t) + 6*q(t)?
t**3 + 1
Suppose 3*q = -4*m - m - 5, -m - 4 = 0. Let n(u) = 1. Let a(x) = 2*x + 1. Calculate q*n(l) - a(l).
-2*l + 4
Let x(m) = -m**3 - 3*m**2 + 5*m + 7. Let z be x(-4). Let t(u) = -5*u**3 - 7*u**2. Let j(w) = -2*w**3 - 3*w**2. What is z*t(k) - 7*j(k)?
-k**3
Let l(m) = m**2 + 7*m + 8. Suppose 4*c = 5 - 29. Let i(o) = o**2 + 6*o + 7. Let h = -57 + 6. Let d be ((-30)/(-4))/(h/(-34)). Calculate c*i(p) + d*l(p).
-p**2 - p - 2
Let j(o) = -51*o**2 + 6*o + 3. Let k(f) = f**2 - 3*f - 1. Give j(r) + 4*k(r).
-47*r**2 - 6*r - 1
Let c(j) = -8*j - 289. Let a be c(-36). Let v(y) = 8*y**3 - 6*y**2 + 6*y. Let s(g) = -g**3 + g**2 - g. Calculate a*v(q) - 6*s(q).
-2*q**3
Let w be (12 - 22)*(0 - 2/4). Let z(n) = 3*n**3 - 5*n**2 - 5. Let f(r) = 5*r**3 - 8*r**2 - 8. What is w*f(g) - 8*z(g)?
g**3
Let f(j) = j**2 - j + 2. Let n(w) = -204*w**2 - 24*w + 48. What is -24*f(o) + n(o)?
-228*o**2
Let z(s) = s**3 - s**2 + s - 1. Let a(k) = -12*k**3 - 3*k**2 + k + 5. Let x(f) = -a(f) - 5*z(f). Let m(w) = w**3 - w. Determine -6*m(c) + x(c).
c**3 + 8*c**2
Let d(r) = -r**2 - r + 4. Let w be (-17)/4 + (-2)/(-8). Let i(t) = -1. Suppose 42 = -196*y - 132*y - 286. Determine w*i(b) + y*d(b).
b**2 + b
Suppose 0*v + 101 = 101*v. Let f(a) = -1. Let j(q) be the second derivative of -q**3/3 + 2*q**2 - 2*q. Let g(i) = 2*i. Let y be g(3). Give v*j(s) + y*f(s).
-2*s - 2
Suppose i - 5*i + 20 = 0. Let a(p) = 5 - i + 0*p + p. Let l(v) = v + 4. Let b be l(-3). Let s(u) = -2. Calculate b*a(m) + s(m).
m - 2
Let c(f) = f - 1. Let u be -2 + (-15)/(-6) + 7/2. Let q(s) = -2*s**2 + s - 1. Give u*c(m) - 4*q(m).
8*m**2
Let n(o) = o**2 + o + 1. Let r(k) = -2*k**2 - 6*k - 3. Suppose 0 = 9*z - 33 + 24. Calculate z*r(y) + 4*n(y).
2*y**2 - 2*y + 1
Let d(n) = 5*n - 6. Let w(s) = 11*s - 13. Let k(o) = -9*d(o) + 4*w(o). Let h(x) = 3. Calculate 4*h(b) - 5*k(b).
5*b + 2
Let i(a) = -22*a**2 + 6*a + 19. Let m(w) = 26*w**2 - 7*w - 20. Give 6*i(k) + 5*m(k).
-2*k**2 + k + 14
Let p(r) = -17*r + 9. Let s(j) = -13*j + 5*j - 28 + 32. Let g(a) = -a - 1. Let f be g(5). Calculate f*p(b) + 13*s(b).
-2*b - 2
Let y(g) = -2*g**3 + 4*g**2 - 2*g + 140. Let r(d) = 3*d**3 - 10*d**2 + 5*d - 280. What is 2*r(z) + 5*y(z)?
-4*z**3 + 140
Let j(n) = -n**2 - n - 1. Let z(u) = -6*u**2 - 15*u - 1. Calculate 3*j(t) - z(t).
3*t**2 + 12*t - 2
Suppose 60*o = 64*o - 16. Let f(n) = -10*n + 3 + 24*n - o - 13*n. Let r(z) = z - 3. Calculate -6*f(u) + 2*r(u).
-4*u
Let j(q) = -594*q**3 - 39*q**2 - 13. Let y(a) = 297*a**3 + 18*a**2 + 6. Determine -6*j(l) - 13*y(l).
-297*l**3
Let x(k) be the second derivative of 7*k**3/6 + 3*k**2/2 - 99*k. Let g(m) = -m - 2 + 0*m - 3*m. Determine -5*g(o) - 3*x(o).
-o + 1
Let u(i) = -i**3 + i**2 - 1. Let p(x) = -19*x**3 - 4*x**2 + 11. What is -p(w) - 4*u(w)?
23*w**3 - 7
Let z(x) = 2*x**3 - x**2 + x - 1. Let h(v) = 3*v**3 + 57*v**2 + 2*v - 2. What is h(n) - 2*z(n)?
-n**3 + 59*n**2
Let c(b) = 9*b**3 + 27*b**2 + 3*b + 9. Let q(p) = p**3 + 2*p**2 + p + 2. Determine -c(r) + 4*q(r).
-5*r**3 - 19*r**2 + r - 1
Let h(s) = -s**2 + s + 4. Suppose -2 = -5*k - 17. Let v = 2254 + -2250. Let i(f) = -f**2 + f + 5. What is k*i(p) + v*h(p)?
-p**2 + p + 1
Let m(u) = 165*u - 11. Let a(o) = -53*o + 4. Determine 17*a(j) + 6*m(j).
89*j + 2
Let c be 38/6 + 55/15 + -4. Let u(t) = -8*t**3 - t - c*t - 51*t**2 + 52*t**2. Let n(s) = -s**3 - s. What is 6*n(x) - u(x)?
2*x**3 - x**2 + x
Let m be (-18)/(-30) + (60/25 - 2). Let z(l) = l. Let d(w) = -2*w**2 - 12*w - 2. Calculate m*d(b) + 10*z(b).
-2*b**2 - 2*b - 2
Let j(p) be the third derivative of -p**5/60 + 348*p**2. Let b(t) = 12*t**2. Give -b(n) - 5*j(n).
-7*n**2
Let k(i) = 3*i - 7. Let u(z) = -28*z + 24. Let f(p) = 9*p - 8. Let j(y) = -16*f(y) - 5*u(y). Suppose 5*b - 10 = -9*v + 4*v, 4*v = -b + 17. Give v*k(r) + 4*j(r).
-r - 3
Let v(m) = m - 5. Let y(s) = -s**2 + 2*s + 3. Let g be y(4). Let h(u) = 4*u + 1 - 8 - 3*u. Calculate g*h(a) + 7*v(a).
2*a
Let j(w) = 791*w**2 - 17*w - 6. Let y(o) = o**2 - 3*o - 1. Calculate -j(a) + 5*y(a).
-786*a**2 + 2*a + 1
Let k(l) = 4*l + 4. Let j(v) = -3*v + 2. Let c(r) = -4*r + 3. Suppose 0 = -3*q + 6 + 9. Let n(d) = q*c(d) - 7*j(d). What is -k(w) + 6*n(w)?
2*w + 2
Let h(z) = 2. Let s = 0 + 5. Let q = -10 + s. Let j(m) be the first derivative of m**2/2 - 4*m - 1. What is q*h(d) - 2*j(d)?
-2*d - 2
Let w(g) = -6*g**3 + 155*g**2 - 13*g - 5. Let f(u) = 5*u**3 - 155*u**2 + 10*u + 4. Give -5*f(o) - 4*w(o).
-o**3 + 155*o**2 + 2*o
Let c(r) = 0 - 4 - r**3 - 2*r**2 - 1544*r + 1542*r. Let l(j) = j**2 + 1. What is c(h) + 2*l(h)?
-h**3 - 2*h - 2
Let j(d) = -2*d**3 + 5*d**2 + 5*d - 3. Let u(l) = -34*l**3 - 16 - l + 33*l**3 + 15 + 2*l + l**2. Give -j(y) + 5*u(y).
-3*y**3 - 2
Let x(i) = 367*i**2 + 5*i + 5. Let j(g) = -26607*g**2 - 362*g - 362. Calculate -5*j(o) - 362*x(o).
181*o**2
Let d(c) = -c**2 + c + 6. Let g(f) = -2*f**2 + 2. Let v(x) = d(x) - 3*g(x). Let u(q) = -q**2. Give -6*u(s) - 2*v(s).
-4*s**2 - 2*s
Let u(b) = -b - 14. Let i(j) = -j - 21. Let z(w) = -5*i(w) + 7*u(w). Suppose -m - 42 + 16 = 4*y, 4*m = y - 19. Let k(d) = 2*d - 6. Determine m*z(l) - 7*k(l).
-2*l
Let z(a) = 14*a. Let g(c) = -13*c + 1. Calculate -4*g(q) - 3*z(q).
10*q - 4
Let f(j) = 67*j - 8. Let o(i) = 67*i - 7. What is -5*f(t) + 6*o(t)?
67*t - 2
Let b(p) = 21*p**3 - 9*p**2 - 11. Let r(m) = 5*m**3 - 2*m**2 - 3. Let v(x) = -2*b(x) + 9*r(x). Let s(t) = -2*t**3 + 3. What is 5*s(q) + 3*v(q)?
-q**3
Suppose 0 = -0*i + 5*i - 2*y, -y = 4*i - 13. Let t(k) = -3*k**3 + 8*k**2 - 9. Let o(b) = -b**3 + 2*b**2 - 2. Determine i*t(h) - 9*o(h).
3*h**3 - 2*h**2
Let n(f) = f**2 - 4 + 4 + f**3