 is p*i(g) + 6*n(g)?
-23*g + 1
Let s(w) = w**3 - w**2 - 1. Let u(f) be the second derivative of 6*f**5/5 - 8*f**4/3 - 16*f**2 - 365*f. Let q = -33 - -1. Calculate q*s(p) + u(p).
-8*p**3
Let g be 0/(-4) - (0 - 1). Let o(d) = -2*d**3 + 2*d**2. Let z be 6/(-4)*24/9. Let u(r) = -3 + 3 - 8359*r**2 + 8359*r**2 - r**3. Determine g*o(t) + z*u(t).
2*t**3 + 2*t**2
Let x(y) = y**3 - 11*y**2. Let t(m) = -129*m**3 + 165*m**2 + 60*m. What is t(l) + 15*x(l)?
-114*l**3 + 60*l
Let v = 2329 - 2332. Let f(p) = p**3 - p**2 + p. Let a(z) = z**3 - z**2 + z. Calculate v*f(l) + 2*a(l).
-l**3 + l**2 - l
Let h(w) = -4*w**2 + 4*w + 6. Let z(f) = 4*f**2 + 42*f + 5. Let j be z(-8). Let d = -69 - j. Let x(y) = 0*y - y + y**2 - 1 + 0*y**2. Determine d*x(q) + h(q).
2*q**2 - 2*q
Let x(u) = -1. Let y(v) = -2*v + 205. Let d(o) = -3*o + 273. Let g(p) = -3*d(p) + 4*y(p). Determine g(n) + 4*x(n).
n - 3
Let o be (3/(-5) - -1)*-15. Let r(y) = -8*y + 3. Let t(x) be the third derivative of -23*x**2 - 1/2*x**3 + 0 + 7/24*x**4 + 0*x. What is o*r(h) - 7*t(h)?
-h + 3
Let l be (-1)/2*(-1 - 1). Let a(j) = 1. Let r(v) be the second derivative of 2*v**3/3 - 15*v + 26. Determine l*a(w) + r(w).
4*w + 1
Let g(c) = -7*c - 3. Let v(u) = -30*u + 29. Let y(j) = 21*j - 21. Let b(o) = 5*v(o) + 7*y(o). Suppose 4*w + 20 = 8*w. What is w*b(i) - 3*g(i)?
6*i - 1
Let q(k) = -2*k + 5. Let d be q(5). Let y = -13 + 13. Suppose 2*g + 1 + 11 = y. Let c(b) = 2*b - 6. Let z(j) = -j + 5. Give d*c(r) + g*z(r).
-4*r
Let n(f) = 2*f + 22. Let u(c) = 2*c + 21. Let v be (-7)/2*888/(-518) + -4. What is v*u(r) - 3*n(r)?
-2*r - 24
Let l(i) = -1 + 3 - 1. Let f(y) = -24 + 25*y - 4*y - 3*y - 2*y**2 + 8 - 18. Let b be f(6). Let o(t) = -2*t + 3. Determine b*l(m) - o(m).
2*m - 1
Let r(j) = j**3 - 1. Suppose 6*v + 30 = -4*d, 46*d + 8 = -2*v + 45*d. Let x(f) = 4*f**3 + 2. Give v*x(c) - 3*r(c).
-7*c**3 + 1
Let j(y) be the second derivative of y**5/20 + y**4/6 - 2*y**3/3 - 5*y**2/2 + 2*y - 65. Let q(v) = -v**3 - 3*v**2 + 6*v + 7. Give -7*j(l) - 5*q(l).
-2*l**3 + l**2 - 2*l
Let r(s) be the first derivative of 5*s**4/2 + s**3 + 3*s**2/2 + 2*s + 6894. Let q(c) = 21*c**3 + 7*c**2 + 6*c + 4. Calculate -2*q(l) + 5*r(l).
8*l**3 + l**2 + 3*l + 2
Let w(k) = k - 12. Let u(m) = -72*m + 456. Give -u(o) - 36*w(o).
36*o - 24
Suppose 12*n + 10 = 17*n. Let b(f) = -10 + 14 + 3*f - f - 3 - 3*f. Let j(m) = -m**2. What is n*j(g) - b(g)?
-2*g**2 + g - 1
Let n(y) = 321*y**2 + 59*y + 9. Let i(o) = 2*o**2 + 10*o + 1. Determine 6*i(f) - n(f).
-309*f**2 + f - 3
Let y(g) = 1 - g**3 - 1 + 0*g**3 - 5. Suppose o + w + 6 = 7, -o - 2*w = 2. Let n = -6 + 9. Let f(a) = 2*a**3 + 6. Give n*f(u) + o*y(u).
2*u**3 - 2
Let y(s) = -18*s**3 + 415*s - 18. Let a(h) = 53*h**3 - 1245*h + 51. Calculate -6*a(b) - 17*y(b).
-12*b**3 + 415*b
Let k(x) = -28*x**3 - 2*x**2 - 3*x + 2. Let f(w) = -22*w**3 - w**2 - 2*w + 1. Let d(y) = 3*f(y) - 2*k(y). Let n(v) = v**3 + 1. What is -d(j) - n(j)?
9*j**3 - j**2
Let g = 258 - 238. Suppose 12*j + 16 = g*j. Let z(a) = a - 1. Let r(k) = -4*k - 1. Give j*z(m) + r(m).
-2*m - 3
Let f(c) = -11*c**2 - 9. Suppose 0 = 24*s + 36*s - 120. Let n(q) = -5*q**2 - 4. Give s*f(h) - 5*n(h).
3*h**2 + 2
Let u(a) = a**2 - 4*a + 1. Let c(h) = -5*h**2 - 2*h. Let i(t) = 26*t**2 + 9*t + 1. Let g(v) = -5*c(v) - i(v). What is 3*g(f) + u(f)?
-2*f**2 - f - 2
Let p(b) = 3*b**3 - 5*b**2 + 11*b + 11. Suppose -4*c + 3*a + 15 = 0, 303 = 4*c + 4*a + 267. Let f(t) = t**3 - t**2 + 3*t + 3. What is c*p(k) - 22*f(k)?
-4*k**3 - 8*k**2
Let b(f) = -15*f + 3. Let i(p) = 5*p - 1. Suppose 106*s + 1038 + 128 = 0. What is s*i(m) - 4*b(m)?
5*m - 1
Let l(p) = 8. Let s be 4/1 - (-4 - 209/(-19)). Let w(x) = -x + 17. Determine s*w(a) + 5*l(a).
3*a - 11
Let t(m) = 69*m**3 - m**2 + 6*m - 6. Let j(v) = 2*v**3 + v**2 - 2*v + 2. Give -6*j(o) - 2*t(o).
-150*o**3 - 4*o**2
Let g(x) = -12*x + 4. Suppose -230 = 28*j - 790. Let f(w) = -18*w + 45*w - 18*w + 4 - j*w - 1. Give 3*f(u) - 2*g(u).
-9*u + 1
Let z(s) = -12632*s. Let g(d) = -2640104*d. Determine -5*g(p) + 1046*z(p).
-12552*p
Let b(m) = 121*m**2 - 143*m + 143. Let o(l) = 5*l**2 - 6*l + 6. Let r = 1002 - 602. Suppose 6*i - r = -1258. What is i*o(k) + 6*b(k)?
11*k**2
Suppose -8*z = -41 + 1. Suppose 3 = 4*b - 17. Let i(d) = -5*d + 2*d - 3*d + b. Let t(w) = -9*w + 7. Give z*t(r) - 7*i(r).
-3*r
Let j(m) = 36*m**3 + 8. Let s(l) = -4*l**3 - 7*l**2 + 7*l + 3. Let u(y) = -y**3 - 2*y**2 + 2*y + 1. Let b(v) = 2*s(v) - 7*u(v). Calculate 8*b(t) + j(t).
28*t**3
Let h(y) = 3*y - 8*y**2 - 9*y**2 + 6 + 18*y**2 + 7. Let a(m) = m + 4. What is -7*a(q) + 2*h(q)?
2*q**2 - q - 2
Let f(v) be the second derivative of -v**3/3 - 10*v**2 - 3389*v. Let l(m) = -m - 10. Give -3*f(u) + 7*l(u).
-u - 10
Suppose -8*w + 2 = -2*x - 4*w, -2*x + 4 = -7*w. Let j(n) = -9*n**2 + n - 1. Let l(b) = 10*b**2 - b + 1. What is x*j(a) - 6*l(a)?
-15*a**2 + a - 1
Let v(f) = -2*f - 1. Let y(k) = 18*k + 34. Calculate -3*v(p) + y(p).
24*p + 37
Let f(d) = 75. Let a(j) = -2611. Let i(m) = -a(m) - 35*f(m). Let t(z) = z + 56. Determine 9*i(s) + 2*t(s).
2*s - 14
Let i(x) = x. Let p(f) = -7*f**2 + 2*f. Let o(a) = a**2 - a - 1. Let d be o(0). Let m be (-70)/(-5) - 20/60*36. Determine d*p(b) + m*i(b).
7*b**2
Let w(t) = -19*t**2 + 6*t + 6. Suppose 296 = -251*q + 328 + 1474. Let s(z) = 3*z**2 - z - 1. Give q*w(c) + 39*s(c).
3*c**2 - 3*c - 3
Let v(y) = -7*y**2 + 45*y - 47. Let c(i) = 20*i**2 - 134*i + 130. What is -6*c(f) - 17*v(f)?
-f**2 + 39*f + 19
Let w(c) = -947*c**2 + 4*c + 13. Let v(j) = -474*j**2 + 2*j + 6. What is 7*v(a) - 3*w(a)?
-477*a**2 + 2*a + 3
Let a(d) = d**2. Let n(m) = -242*m + 7745. Let v be n(32). Let z(x) = x**3 + 6*x**2 - 8. Determine v*z(s) - 6*a(s).
s**3 - 8
Let n(t) = -2*t + 3. Let x(w) = -34. Let g(j) = -2*j - 65. Let p(f) = -g(f) + 2*x(f). Suppose 5*l = -0*l + 30. Give l*p(y) + 7*n(y).
-2*y + 3
Let x(q) = -12*q - 1. Let t(y) = -929*y. What is t(i) - 2*x(i)?
-905*i + 2
Let w(b) = 4*b**3 - 9*b**2 + 12*b + 29. Let l(q) = 9*q**3 - 19*q**2 + 26*q + 59. Give -6*l(p) + 13*w(p).
-2*p**3 - 3*p**2 + 23
Let c(q) = -14*q**2 - 11*q - 9. Let b(l) = 7*l**2 + 5*l + 4. Let t be ((-43)/(29 - -57))/(-2 - 13/(-6)). What is t*c(g) - 7*b(g)?
-7*g**2 - 2*g - 1
Let i(n) be the third derivative of 355*n**5/6 + 71*n**4/8 - 71*n**3/2 + n**2 + n - 8. Let t(l) = 67*l**2 + 4*l - 4. Calculate 4*i(c) - 213*t(c).
-71*c**2
Let y(m) = -m**3 - 15*m**2 + 33*m - 8. Let o be y(-17). Suppose 0 = 13*d - 17*d - 8. Let f(p) = 3*p**2. Let j(w) = 13*w**2 - w - 1. Give d*j(s) + o*f(s).
s**2 + 2*s + 2
Let l(i) = -39*i - 406. Let u(f) = -48*f - 410. Give 6*l(w) - 5*u(w).
6*w - 386
Let n(j) = 3*j**2 - 300*j + 2. Let z(y) = -16*y**2 + 1499*y - 12. What is 11*n(f) + 2*z(f)?
f**2 - 302*f - 2
Let w = -14282 - -14284. Let r(j) = 9*j**2 + 4*j - 6. Let t(z) = -5*z - 2. Let q be t(1). Let l(o) = 3*o**2 + o - 2. Give q*l(d) + w*r(d).
-3*d**2 + d + 2
Let h(a) = -a**3 - a**2 + a - 1. Let s be (3 + -3)/(-3) - (-7 - -6). Let u(r) = -3*r**3 - 8*r**2 + 5*r - 3. Determine s*u(d) - 5*h(d).
2*d**3 - 3*d**2 + 2
Let y(o) be the third derivative of -o**5/20 - 7*o**4/24 - 2*o**3/3 - 34*o**2. Let z(n) = 12*n**2 + 29*n + 17. What is 9*y(w) + 2*z(w)?
-3*w**2 - 5*w - 2
Let z(n) = -2*n + 75. Let s(f) = 12*f - 361. Calculate 4*s(b) + 22*z(b).
4*b + 206
Let u(p) = 2*p**3 + 10*p**2 - 23*p - 15. Let t(n) = -6*n**3 - 21*n**2 + 44*n + 37. Calculate -2*t(f) - 5*u(f).
2*f**3 - 8*f**2 + 27*f + 1
Let j(n) = -149*n - 5. Let q = 21966 - 21504. Let o(y) = 13783*y + 462. Determine q*j(u) + 5*o(u).
77*u
Let r(d) = -228*d - 17. Let x(c) = -127*c - 8. Give -3*r(g) + 7*x(g).
-205*g - 5
Let v(b) = -25*b**3 - 3*b**2 + 6*b - 10. Let u(p) = 8*p**3 + p**2 - 2*p + 3. Let d = -8187 + 8194. What is d*u(y) + 2*v(y)?
6*y**3 + y**2 - 2*y + 1
Let a(d) = -d - 1. Let q(m) = 723*m - 8. Calculate -5*a(y) + q(y).
728*y - 3
Let l(f) = -11*f**3 - 11*f**2 + 11*f + 34. Let b(w) = w**3 + w**2 - 3. Give 9*b(h) + l(h).
-2*h**3 - 2*h**2 + 11*h + 7
Suppose -3 = -l + 3. Suppose -5*c - c = -408. Let m = c - 54. Let o(n) = n. Let d(s) = -2*s. Give l*d(w) + m*o(w).
2*w
Let k(u) = -4*u - 3*u**2 + 0*u**3 + 6*u**2 - u**3 + 0 + 5. Let a(m) = -m**2 + m - 1. Let c = -6600 - -6605. Give c*a(r) + k(r).
-r**3 - 2*r**2 + r
Let q(s) = -2*s**2 - 51*s - 5. Let w = -23125 - -23127. Let j(i) = -2*i**2 - 51*i - 4. Give w*