9*q + 1
Let w(h) = 2*h + 11. Let s(g) = 112*g - 62*g - 47*g + 17. Determine 5*s(x) - 8*w(x).
-x - 3
Let p(a) = a + 1. Let l(t) = -6*t**2 + 3*t + 4. Determine l(k) - 4*p(k).
-6*k**2 - k
Let n(i) = -60*i**3 - 21*i**2 - 21*i. Let r(g) = -2*g + 26*g**2 - 6*g**3 + 22*g**2 - 50*g**2. What is -2*n(x) + 21*r(x)?
-6*x**3
Let b(w) = -7*w - 4. Let c(u) = -2 + 3*u + 3 + 4*u - 10*u. Let a(k) = -8*k + 2. Let l(v) = 5*a(v) - 12*c(v). Determine 6*b(g) - 11*l(g).
2*g - 2
Let u(y) = -222*y**3 - 2*y + 2. Let p(k) = -k**3 - k + 1. Give -2*p(o) + u(o).
-220*o**3
Let d(y) = -41*y**2 + 2*y - 1. Let t(b) = 83*b**2 - 6*b + 2. What is -5*d(h) - 2*t(h)?
39*h**2 + 2*h + 1
Let t(u) = 15. Let m(d) = d**2 - d + 31. What is -2*m(v) + 5*t(v)?
-2*v**2 + 2*v + 13
Let r(t) = 5*t**2 + 6*t - 6. Let h(w) = 2*w + 54. Let f be h(-25). Suppose 17 = f*d - 15. Let v(o) = 3*o**2 + 4*o - 4. Determine d*v(i) - 5*r(i).
-i**2 + 2*i - 2
Let p(n) = -56*n**2 + n + 2. Let s(w) = 113*w**2 - 2*w - 4. What is 5*p(r) + 2*s(r)?
-54*r**2 + r + 2
Let c(p) = -3*p**2 - 4*p + 8. Let u(i) = 14*i**2 - 20*i - 17. Let t(n) = -5*n**2 + 7*n + 6. Let f(j) = -17*t(j) - 6*u(j). Determine -c(s) - 2*f(s).
s**2 + 2*s - 8
Let o(x) = 1424*x**2 + 8*x - 9*x - 1423*x**2. Let n(b) be the second derivative of b**4/3 - 2*b**3/3 - b**2/2 - b. Calculate n(q) - 2*o(q).
2*q**2 - 2*q - 1
Let d(p) = -32 + 10 + 3*p + 13 + 7 + 6. Let z(o) be the first derivative of -o**2 - 2*o - 1. What is -3*d(u) - 5*z(u)?
u - 2
Let n(x) = -8*x**2 + x - 4. Let d(k) = -9*k**2 + k - 3. Calculate 4*d(p) - 3*n(p).
-12*p**2 + p
Let m(l) = l**3 - l**2 - l - 1. Let h(w) = 4 - 3 - 7 - 2*w - 4*w + 5*w**3 - 6*w**2. Suppose 0 = -4*v - 4*f + 2 + 6, -4*v = -3*f - 36. Calculate v*m(c) - h(c).
c**3
Let y(k) = -k**2 + k - 2. Let h(r) = -4*r**2 - 12 + 6*r + 6*r - 2*r - 2*r. Let u(o) = -4*o**2 + 7*o - 11. Let s(j) = -4*h(j) + 5*u(j). What is 2*s(l) - 7*y(l)?
-l**2 - l
Let b(i) = -6*i**2 + i + 8. Let n be -5*(-3 + 153/54)*3*2. Let u(g) be the first derivative of -7*g - 1/2*g**2 - 1 + 5/3*g**3. What is n*u(y) + 4*b(y)?
y**2 - y - 3
Let b(m) = -m**3 + 3*m - 4. Let v(t) = -2*t**3 + 8*t - 13. What is 8*b(d) - 3*v(d)?
-2*d**3 + 7
Suppose 0 = 3*v + 2*v + 55. Let d(f) be the third derivative of -f**5/20 - 2*f**3/3 - f**2 + 59*f - 1. Let c(n) = -16*n**2 - 21. What is v*d(y) + 2*c(y)?
y**2 + 2
Let d(c) = 546*c. Let j(z) = -13*z. What is d(m) + j(m)?
533*m
Let z(r) = 29*r**2 - 6*r - 5. Let j(s) = 5*s**2 - 40*s**2 + 1 + s + 16*s**2 + 13*s**2. What is -11*j(l) - 2*z(l)?
8*l**2 + l - 1
Let x(w) = -1 - 2*w - 4 + 2*w**2 + 1. Let p(o) = -5*o**2 + 8*o + 5. Let j(m) = -6*m**2 + 10*m + 6. Let f(z) = -4*j(z) + 5*p(z). What is -3*f(y) - x(y)?
y**2 + 2*y + 1
Let i(b) = -250*b - 40. Let w(u) = 250*u + 33. What is 5*i(s) + 6*w(s)?
250*s - 2
Let l(r) = 2*r**3 + 112*r**2 - 58*r**2 - 2 + 4*r - 49*r**2. Let q(g) = g**3 + 2*g**2 + 2*g - 1. What is 2*l(u) - 5*q(u)?
-u**3 - 2*u + 1
Let o(j) = 12*j - 632. Let s be o(52). Let y(h) = -2*h**3 - 6*h**2 + 8*h + 3. Let c(n) = n**3 + 2*n**2 - 3*n - 1. Determine s*c(g) - 3*y(g).
-2*g**3 + 2*g**2 - 1
Suppose 41*p + 38 = 3*p. Let q(o) = o**2 - o - 1. Let k(u) = -2*u**3 - 4*u**2 + 5*u + 6. Calculate p*k(t) - 4*q(t).
2*t**3 - t - 2
Let l(a) = 14*a**3 + 23. Let q be (-6)/4 - (-4 - 44/8). Let t(h) = -5 + q*h**3 - 3*h**3 + 13. Determine -6*l(k) + 17*t(k).
k**3 - 2
Let m(n) = -14*n + 15. Let c(s) = -29*s + 27. Calculate 6*c(o) - 11*m(o).
-20*o - 3
Let d(f) = f - 17 + f**2 + 4 + 12. Let p(w) = 2*w**3 - 3*w**2 + 3. Determine -3*d(a) - p(a).
-2*a**3 - 3*a
Let l(c) = 34*c**2 + 7*c + 4. Let s(j) = 35*j**2 + 5*j + 3. Give -3*l(v) + 4*s(v).
38*v**2 - v
Let i be 7/(-1 - (-3 - -1)). Let a(g) = -30*g + 22*g - 1 - i + 28*g. Let u(s) = 7*s - 3. Determine -3*a(r) + 8*u(r).
-4*r
Let n(h) = -h**2 + 5*h - 5. Let f(y) = y**2 - y + 1. Let x be ((-21)/(-6) - 3)/(7/70). What is x*f(i) + n(i)?
4*i**2
Let d(b) = -179*b**2 + 2*b - 3. Let t(o) = -357*o**2 + 5*o - 7. What is -5*d(v) + 2*t(v)?
181*v**2 + 1
Let q(w) = -9*w**2 + 15. Let x(d) = 773*d**2 + 7 - 389*d**2 - 388*d**2. Calculate -6*q(u) + 13*x(u).
2*u**2 + 1
Let o(u) be the third derivative of -95*u**4/24 - 65*u**3/6 + 6*u**2 - 31. Let t(v) = 3*v + 2. What is 6*o(h) + 195*t(h)?
15*h
Let j(p) = -4*p**3 - 5*p**2 + 2*p. Let n(y) = -y**3 - y**2 + y - 1. Suppose -180*l + 176*l = -8. Calculate l*n(c) - j(c).
2*c**3 + 3*c**2 - 2
Let v(x) = x**3 + 2*x**2 - 2*x + 7. Let m = 114 + -117. Let n be v(m). Let h(d) = -3*d**2 - 3*d - 4. Let i(k) = 4*k**2 + 3*k + 5. Determine n*i(b) + 5*h(b).
b**2 - 3*b
Let n(a) = 5*a + 315. Let d(q) = q - 1. Determine 6*d(l) - n(l).
l - 321
Let q be 1 - 3 - (-1 - -21). Let j(o) be the third derivative of -o**6/60 - 11*o**4/24 + 11*o**3/6 - 9*o**2 + 2*o. Let u(n) = n - 1. What is q*u(s) - 2*j(s)?
4*s**3
Let u(c) = 7*c**2 + 308*c. Let j(f) = 8*f**2 + 305*f. Calculate -5*j(z) + 6*u(z).
2*z**2 + 323*z
Let j(m) = -2*m**3 + m. Let r(s) = -9*s**3 + 4*s**2 + 2*s - 5. What is -5*j(v) + r(v)?
v**3 + 4*v**2 - 3*v - 5
Let t(b) = b**2 + 3. Let h(j) = -2584*j**2 - 5814. What is -2*h(z) - 3876*t(z)?
1292*z**2
Suppose 0*v - 37 = -4*g + 5*v, -25 = -5*g + 2*v. Let a(h) = g + 3*h - 9 + 7 + 3. Let s(p) = 7*p + 9. Determine -5*a(n) + 2*s(n).
-n - 2
Suppose w = 75*k - 71*k + 32, -4*w + 37 = -3*k. Let n(o) = o**2 - 3*o + o**2 - 6 + 2*o**2. Let c(g) = -g**2 + g + 2. Give k*c(q) - 2*n(q).
-q**2 - q - 2
Let z(w) = w**3 + w**2 + 1. Suppose -3*h - 49 = -3*l - 67, 10 = 5*h - l. Let p(u) = -9*u**3 - 5*u**2 + 2*u - 5. Calculate h*p(q) + 5*z(q).
-4*q**3 + 2*q
Let w(q) = -7*q - 8. Let n(k) = -13*k - 17. What is 3*n(g) - 5*w(g)?
-4*g - 11
Let h(l) = -l. Let c be (0 + -1)/(0 + -1). Let p(z) = -4*z + 1. Suppose 0 = 2*f + 657 - 651. Give c*p(t) + f*h(t).
-t + 1
Let m(s) = 2*s**3 - 2*s**2 - 2*s + 3. Let x(i) = i**3 - i**2 - i + 1. Calculate 2*m(p) - 5*x(p).
-p**3 + p**2 + p + 1
Let g(n) = -24*n**3 + 21*n**2 - 21*n + 21. Let h(r) = -r**3 + r**2 - r + 1. Suppose 3*c = -6, -k + 0*c = -5*c - 115. Give k*h(i) - 5*g(i).
15*i**3
Let q(r) = 18*r**3 - 11*r**2 + 11*r - 4. Let n(p) = 6*p - 2 + 1476*p**3 - 737*p**3 - 6*p**2 - 730*p**3. Give -11*n(j) + 6*q(j).
9*j**3 - 2
Suppose 0 = -5*y - 5*z + 15, 3*z + 1 + 6 = y. Let x(j) = j**2. Let p(u) = 3*u**2 + u. Let m = 8 + -10. Give m*p(c) + y*x(c).
-2*c**2 - 2*c
Let d = -30 + 88. Let v be (-3)/(-12) + 2 + d/(-8). Let z(g) = 10*g - 13. Let x(l) = 7*l - 9. Determine v*z(c) + 7*x(c).
-c + 2
Let x(l) = -2*l**3 - 6*l**2 - 8*l + 2. Let k(f) = 3*f**3 + 12*f**2 + 15*f - 3. What is -3*k(a) - 5*x(a)?
a**3 - 6*a**2 - 5*a - 1
Let j(c) = -103456*c**2. Let x(t) = 605*t**2. Give -5*j(a) - 854*x(a).
610*a**2
Let a(r) = 488*r**2 + 20*r - 20. Let o(p) = p**2 - p + 1. Calculate -a(b) - 20*o(b).
-508*b**2
Let u(h) = -73*h**3 + 86*h**3 + 72*h**2 - 88*h**2 + 4*h. Let i(y) = -4*y**3 + 5*y**2 - y. Determine -7*i(f) - 2*u(f).
2*f**3 - 3*f**2 - f
Let u = -51 + 66. Suppose 3 = c + 5*f, -3*f - u = -5*c - 5*f. Let k(z) = 3*z + 3. Let p(m) = -6*m - 5. Calculate c*p(t) + 5*k(t).
-3*t
Let o(s) = -638808*s**3 - 3095*s**2 + 6190*s - 6190. Let g(v) = 619*v**3 + 3*v**2 - 6*v + 6. Give 3095*g(c) + 3*o(c).
-619*c**3
Let x(r) = -7*r**2 + 9*r - 1. Let j(y) = 6*y**3 + y**2 + y - 1. Let k be j(1). Let o(s) = -481*s + 4*s**2 + 468*s + 6*s**2 + 1. Determine k*x(a) + 5*o(a).
a**2 - 2*a - 2
Let x(c) = -3*c**3 - 4*c**2 - 8*c + 3. Let t(a) = -4*a**3 - 4*a**2 - 10*a + 4. Let z(y) = 4*t(y) - 5*x(y). Let i(v) = v**3 - v**2 + 1. Give -4*i(u) - z(u).
-3*u**3 - 5
Let r(x) = 5*x**3 - 12*x**2 + 4*x. Let m(v) be the third derivative of v**6/20 - v**5/5 + 5*v**4/24 - 2*v**2 + 75*v. Determine 4*m(j) - 5*r(j).
-j**3 + 12*j**2
Let d(n) = 10*n**3 + 5*n - 5. Let u(j) = -9*j**3 - 4*j + 4. Let a be 17/68 - 102/(-8). Suppose -51 = a*t + 14. Calculate t*u(b) - 4*d(b).
5*b**3
Let d(b) = b**3 - b**2 + 2*b + 3. Let u(o) = 5*o**3 - 5*o**2 + 11*o + 16. Give -11*d(q) + 2*u(q).
-q**3 + q**2 - 1
Let a(i) = 52938*i**2 - 3806*i. Let p(m) = -167*m**2 + 12*m. What is -6*a(z) - 1903*p(z)?
173*z**2
Let z(t) = 176*t**3 - 220*t + 220. Let b(u) = u**3 - u + 1. Give -440*b(x) + 2*z(x).
-88*x**3
Let k(h) = -4*h**3 - 8*h**2 - 5*h + 50. Let a(y) = -2*y**3 - 4*y**2 - 3*y + 24. Determine 5*a(g) - 3*k(g).
2*g**3 + 4*g**2 - 30
Let j(g) be the first derivative of g**2/2 + g - 1. Let l(d) = 10*d + 12. Supp