8*k(z)?
-2*z**3 - 3
Let d(f) = -2*f + 31. Let q(l) = 4*l - 63. Determine 11*d(x) + 6*q(x).
2*x - 37
Let x(g) = -4*g + 8. Let a(d) = -4*d + 6. Calculate 5*a(r) - 6*x(r).
4*r - 18
Let z(s) = -6*s**3 + 8*s + 477. Let y(i) = i**3 - i + 1. Determine -8*y(c) - z(c).
-2*c**3 - 485
Let j(i) be the third derivative of -i**5/30 - i**4/8 + 3*i**2. Let m = -78 + 70. Let a(u) = -5*u**2 - 8*u. Determine m*j(v) + 3*a(v).
v**2
Let u(b) = -49. Let s(y) = 9. Let p(n) = 11*s(n) + 2*u(n). Let x(j) = 7*j - 3. Give 5*p(m) + x(m).
7*m + 2
Let p(c) = 15 + 5 - 26 + 7. Let l(d) = -8*d. Let h(v) = -15*v - 1. Let a(k) = 6*h(k) - 11*l(k). What is -a(x) - 3*p(x)?
2*x + 3
Let b be -1*12/30 + (-12)/(-5). Let m(x) = 3*x - 2. Let t(p) = 4*p - 2. Determine b*t(k) - 3*m(k).
-k + 2
Let q(x) = 3466*x**2 + 132*x + 22. Let u(z) = -495*z**2 - 18*z - 3. Determine 6*q(v) + 44*u(v).
-984*v**2
Let d(h) = h - 1. Let l(j) = -4. Let w(b) = -1. Suppose 9*p - 5*p = 20. Let n(z) = p*w(z) - l(z). Suppose 0 = -2*a - 4. What is a*n(s) + d(s)?
s + 1
Let x(s) = -s**3 - s**2 + 5*s + 67. Let f(p) = -2*p**3 - 2*p**2 + 6*p + 67. Determine -3*f(o) + 4*x(o).
2*o**3 + 2*o**2 + 2*o + 67
Suppose -4*b - 3 + 19 = 0. Let u(j) = 14*j**2 + 12 - 3 + 2. Let m(s) = 5*s**2 + 4. What is b*u(f) - 11*m(f)?
f**2
Let l(x) = -x**3 - 7*x**2 + 5*x. Let g(y) be the third derivative of y**5/60 - y**4/24 + 9*y**2 - 7*y. Determine -6*g(p) - l(p).
p**3 + p**2 + p
Let p(z) = 2*z - 246. Let t(k) = -k + 123. Calculate 3*p(j) + 5*t(j).
j - 123
Let q(w) be the second derivative of w**4/6 + w**3/3 + w**2/2 + w. Let p(k) = 5 + 145*k**2 - 277*k**2 + 9*k + 140*k**2. Give -2*p(b) + 9*q(b).
2*b**2 - 1
Let q(v) = 4*v + 3. Let m(b) = 8*b + 7. Let j(k) = -4*m(k) + 9*q(k). Let a(z) be the first derivative of 6*z**2 - 3*z + 5. Calculate -6*a(y) + 17*j(y).
-4*y + 1
Let g(h) be the first derivative of -h**3/3 + 3*h**2/2 + 3*h - 69. Let n(v) be the first derivative of v**3/3 - v**2 - 2*v + 1. Calculate 5*g(y) + 7*n(y).
2*y**2 + y + 1
Let n(p) = -41*p**3 + p + 2. Let d(o) = -206*o**3 + 6*o + 11. What is 4*d(k) - 22*n(k)?
78*k**3 + 2*k
Let m(w) = 4*w**2 + 8*w - 12. Let r(b) = -3*b**2 - 9*b + 10. What is 4*m(j) + 5*r(j)?
j**2 - 13*j + 2
Suppose -5*g - 10 = -10*g. Let k(d) be the second derivative of 4*d + 1/3*d**4 - 2/3*d**3 + 0*d**2 + 0. Let i(a) = -13*a**2 + 13*a - 1. Give g*i(s) + 7*k(s).
2*s**2 - 2*s - 2
Let h(m) = -2*m**3 - 6*m**2 - 6*m - 7. Let i(t) = -5 + t - 2*t**2 - 2*t**2 + 0 + 6 + 5*t**2 + t**3. Determine h(y) + 6*i(y).
4*y**3 - 1
Let p(z) = -648*z**2 - 2*z. Let i(r) = -648*r**2 - 2*r. Determine 6*i(h) - 7*p(h).
648*h**2 + 2*h
Let i(v) = -9*v**2 - 2*v + 4. Suppose 230*k = 235*k + 20. Let x(t) be the second derivative of 2*t**4/3 + t**3/3 - 3*t**2/2 - 7*t. Calculate k*x(q) - 3*i(q).
-5*q**2 - 2*q
Let c(d) = -17*d + 79. Let i(a) = 4*a - 19. Calculate 2*c(h) + 9*i(h).
2*h - 13
Let h(c) = 21*c**2 - 4*c + 5. Let t(q) = 2*q**2 - 2*q. What is h(f) - 2*t(f)?
17*f**2 + 5
Let l(v) be the second derivative of 2*v**4/3 - v**3 + 3*v**2 + 35*v + 1. Let z(f) = -f**2 - 1. Calculate -l(y) - 6*z(y).
-2*y**2 + 6*y
Let v(c) = 18*c - 4. Let i(j) = 47*j - 11. Let m(o) = 3*i(o) - 8*v(o). Let x(l) = -l. Calculate m(a) - 6*x(a).
3*a - 1
Let i(t) = -54*t + 7. Let v(u) = 52*u - 8. Determine -6*i(j) - 5*v(j).
64*j - 2
Let j be 15/(-120) + (-15)/8. Let l(h) = 3*h**3 - 3*h. Let i(r) = -r**3 + r**2 + r. Give j*i(x) - l(x).
-x**3 - 2*x**2 + x
Let f(g) be the second derivative of -g**3/2 + g**2/2 + g. Let l(r) = -4*r + 2. Let z be (-8)/60 + 13/(-15) - -3. Determine z*l(o) - 3*f(o).
o + 1
Let q(r) = -50*r**3 - 3*r**2 - 3*r. Let z(t) = -51*t**3 - 2*t**2 - 2*t. What is -2*q(g) + 3*z(g)?
-53*g**3
Let n(i) = i. Let v(d) = 2*d + 3. Let w be -1 - (-1 - 1)*1. Calculate w*v(p) - 4*n(p).
-2*p + 3
Let j(q) = -2*q**3 - 3*q. Let o(g) = -3*g**3 - 5*g + 1. Suppose 0*d + 6 = -2*d + 4*u, -5*u = -3*d - 7. Let m be (-9)/12*-4*d. What is m*o(a) - 5*j(a)?
a**3 + 3
Let z(m) = -10*m - 1. Let o(d) = 12*d. Calculate 3*o(k) + 2*z(k).
16*k - 2
Let a(z) = 7*z**2 - 4*z - 4. Let f(p) = -18*p**2 + 10*p. Let w(x) = -40*x**2 + 22*x - 1. Let n(q) = -7*f(q) + 3*w(q). Calculate -5*a(m) + 6*n(m).
m**2 - 4*m + 2
Let k(f) = -f + 1. Let u(x) = -17*x + 3. Determine -6*k(q) + u(q).
-11*q - 3
Let a(k) = -k**2 - k + 24. Let b(j) = 2*j**2 + 2*j - 47. Calculate 5*a(l) + 3*b(l).
l**2 + l - 21
Let m(x) = -141*x**2 - 2*x + 5. Let c(o) = -74*o**2 - o + 2. Give -10*c(w) + 4*m(w).
176*w**2 + 2*w
Let l(p) = 2*p - 1. Let w(c) = 9*c - 5. Give 33*l(j) - 6*w(j).
12*j - 3
Let v(x) = -782*x**2 - 33*x + 5. Let c(h) = 261*h**2 + 12*h - 2. Give -11*c(f) - 4*v(f).
257*f**2 + 2
Let y = -151 + 154. Let l(q) = 5*q + 3. Let o(w) = 5*w. Let h(s) = -s. Let b(a) = 6*h(a) + o(a). What is y*b(g) + l(g)?
2*g + 3
Let l(t) = -60*t. Let r(b) be the third derivative of -b**4/24 + b**2 + 128. What is -4*l(v) + 220*r(v)?
20*v
Let x(i) = -7840*i**2 - 336*i - 336. Let p(k) = -117*k**2 - 5*k - 5. Give -336*p(b) + 5*x(b).
112*b**2
Suppose 0 = 7*f - 2*f - 5. Let a = f + 2. Let p(z) = -5*z**2 + z + 3. Let h(y) be the first derivative of -4*y**3/3 + y**2/2 + 2*y + 1. What is a*h(d) - 2*p(d)?
-2*d**2 + d
Let w(h) = -4*h. Let a = 7 + -1. Let o(x) = x**2 - 6*x + 5. Let f be o(a). Let p(k) = -9*k - 1. What is f*w(t) - 2*p(t)?
-2*t + 2
Let l(b) = 30*b**3 + 3*b - 3. Let p(x) = -121*x**3 - 13*x + 12. What is -9*l(d) - 2*p(d)?
-28*d**3 - d + 3
Let i(f) = -2*f + 10. Let l(t) be the second derivative of t**2/2 - 259*t. What is -i(n) + 3*l(n)?
2*n - 7
Let m(y) = -9*y + 2. Suppose 25*s - 26*s = -5. Let u(q) = -5*q + 1. Determine s*u(r) - 3*m(r).
2*r - 1
Let y(l) = 49*l**2 + 6*l - 6. Let x(b) = b**2 - b + 1. Give 4*x(f) + y(f).
53*f**2 + 2*f - 2
Let s(d) = 533*d**3. Let n(q) = 5064*q**3. Determine 5*n(b) - 48*s(b).
-264*b**3
Let p(b) = -b - 5. Let v(u) = -1. Let l(g) = -20. Let r(w) = 2*l(w) - 44*v(w). What is -2*p(k) - 3*r(k)?
2*k - 2
Let l(c) = -5*c**2 + 16*c - 7. Let z be l(3). Let v(x) = x**2 - x - 6. Let w(u) = -u**2 + 2*u + 11. Determine z*w(k) - 7*v(k).
-3*k**2 - k - 2
Let m(p) = 1771*p**3 - 21*p**2 + 21*p + 21. Let f(s) = -443*s**3 + 5*s**2 - 5*s - 5. Give -21*f(g) - 5*m(g).
448*g**3
Suppose 0 = o + 2 - 9. Let b(c) = 0*c**2 - o*c**2 + 7 - 4*c - 3*c + 0*c - c**3. Let l(g) = -g**3 - 6*g**2 - 6*g + 6. Give 6*b(t) - 7*l(t).
t**3
Let a(w) = 2*w**3 - 4*w**2 - 268*w + 3. Let v(l) = 3*l**3 - 7*l**2 - 534*l + 5. What is -5*a(f) + 3*v(f)?
-f**3 - f**2 - 262*f
Let i(o) = 4*o + 3. Let l(x) = x - 1. Let y(f) = -i(f) + 2*l(f). Let m be (7 - 2)/(35/21) + 7 + -6. Let u(t) = 5*t + 11. Calculate m*u(v) + 9*y(v).
2*v - 1
Let x(k) = 44*k**3 - 11*k**2 - 5*k - 6. Let l(z) = 7*z**3 - z**2 - z - 1. Let c(a) = 6*l(a) - x(a). Let s(n) = 2*n**3 - 4*n**2 + n. What is -4*c(p) - 5*s(p)?
-2*p**3 - p
Let n(q) = 6*q**3 + q**2 - 1. Let r(x) = -13*x**3 - 3*x**2 + 3. Let w = 194 + -187. Calculate w*n(u) + 3*r(u).
3*u**3 - 2*u**2 + 2
Let t be (3/6)/(7/182*-1). Let z(y) = -2*y**3 - 15*y**2 + 11*y + 13. Let n(l) = -l**3 - 7*l**2 + 5*l + 6. Calculate t*n(f) + 6*z(f).
f**3 + f**2 + f
Let h(r) = 23*r + 6. Let p(j) = -5*j - 1. Let d(t) = h(t) + 5*p(t). Let w(o) = -o. Calculate 3*d(a) - 3*w(a).
-3*a + 3
Let l(p) = -p**3 - p + 0*p**2 + 0*p**2. Let a(t) be the second derivative of 12*t - 1/20*t**5 + 0*t**4 + 0 + 0*t**2 + 1/6*t**3. What is 2*a(w) + l(w)?
-3*w**3 + w
Let c(a) = -a**3 - a + 1. Let o(m) = 548*m**3 + 274*m - 274. Determine -274*c(l) - o(l).
-274*l**3
Let o(z) = 3*z**3 + 4*z**2 - 3*z - 42. Let u(q) = q**3 + q**2 + 1. What is -o(t) + 4*u(t)?
t**3 + 3*t + 46
Let w(d) = d**2 - 4*d. Let o(l) = -2*l**2 + 5*l. Let v be (-10)/3 + (-1)/(-3). Let r = -2726 - -2722. What is r*w(x) + v*o(x)?
2*x**2 + x
Let q(h) = 2*h + 14. Let j be q(-6). Let g(a) = 3 - 3*a - j*a - 3*a + 4*a. Let d(c) = c - 1. Calculate -6*d(k) - 2*g(k).
2*k
Let s(x) = 32*x**3 - 10*x**2 - 64. Let a(u) = -15*u**3 + 4*u**2 + 32. Calculate 5*a(p) + 2*s(p).
-11*p**3 + 32
Let p(q) = -4. Suppose 0*a + 4*a - 28 = 3*x, -a - 16 = 5*x. Let y(u) = -u**2 - 5. Calculate x*y(v) + 5*p(v).
4*v**2
Let j = -1285 - -1278. Let c be (-4)/2*(-6)/(-4). Let i(o) = -o + 3. Let n(x) = 4*x - 11. Let s(z) = 22*i(z) + 6*n(z). Let a(q) = -q. What is c*s(h) + j*a(h)?
h
Suppose 10 = 4*c + c, 3*c - 26 = -5*t. Let w(j) = -j**2 - 6*j - 1. Let q(y) = -y**2 - 5*y - 1. Su