.
9*c**2 - 2*c + 7
Let m(d) = 9*d**2 - 34*d - 6. Let s(i) = 11*i**2 - 34*i - 7. Determine -7*m(n) + 6*s(n).
3*n**2 + 34*n
Let f(d) = -16*d**3 + 14*d**2 + 7*d + 7. Let g(r) = -11*r**3 + 9*r**2 + 5*r + 5. Give -5*f(c) + 7*g(c).
3*c**3 - 7*c**2
Let s be (-2)/2 - 1 - 1. Let o be 2/(-7) + 182/(-49). Let x be (-3)/o + 182/(-104). Let f(r) = r - 4. Let g(b) = 1. Determine s*g(v) + x*f(v).
-v + 1
Let v(d) be the third derivative of d**4/24 - d**2. Let b be (8*(-3)/(-72))/(5/(-30)). Let x(s) = 2*s. Give b*x(t) + 3*v(t).
-t
Let l(q) = 5*q**3 + 9. Let i(u) = -u**3 + 1. Calculate -36*i(n) + 4*l(n).
56*n**3
Suppose -2*r = r - 6. Let v(w) = 4*w**2 - 1 - 6*w**2 + w**2. Suppose 368*q = 377*q - 27. Let j(n) = n**2 + n + 1. Determine q*v(b) + r*j(b).
-b**2 + 2*b - 1
Let k(q) = 5*q. Let f be (-49)/(-2) - (-2)/4. Let a(i) be the first derivative of i**2/2 + 1861. What is f*a(j) - 4*k(j)?
5*j
Let g(i) = -7*i**3 + 33*i**2 - 10. Let j(b) = 13*b**3 - 64*b**2 + 18. Calculate -11*g(v) - 6*j(v).
-v**3 + 21*v**2 + 2
Suppose 4*t = -s + 4, -4*s + 16 = 61*t - 63*t. Let r(n) = 5*n**3 - 4*n**2 + n + 6. Let m(l) = l**3 - l**2 + l + 1. Determine s*m(d) - r(d).
-d**3 + 3*d - 2
Let z(q) = -134*q**2 - 15*q + 3. Let t(v) = 133*v**2 + 11*v - 2. What is -4*t(a) - 3*z(a)?
-130*a**2 + a - 1
Let v = -769 + 772. Let r(s) = 2*s**2 - 2*s - 2. Let g(n) = -4*n**2 + 3*n + 4. Calculate v*g(m) + 5*r(m).
-2*m**2 - m + 2
Let p(t) = -28556*t**2 + 1003*t + 2006. Let z(u) = 57*u**2 - 2*u - 4. Give -6*p(q) - 3009*z(q).
-177*q**2
Suppose -3*z + 3*w - 2*w + 6 = 0, 0 = -2*w. Let h(o) = -2. Let p(j) = -4*j**2 + 2*j**2 - 3 + 3*j**2. Calculate z*p(f) - 3*h(f).
2*f**2
Let k(i) = 8*i - 5. Let p(t) = -39*t + 24. Suppose -2*h + 32 = 2*y - 6, 4*y + 3*h = 73. Suppose -3*d + 24 = q + 2*q, -3*d = -5*q + y. What is q*p(a) + 24*k(a)?
-3*a
Let i(q) = -q**2 + q - 1. Let p(t) be the third derivative of -t**5/10 + 5*t**4/24 - 5*t**3/6 - 11*t**2 + t. What is 5*i(b) - p(b)?
b**2
Let w(m) = 5*m + 4. Let h = 15 - 4. Let x(f) be the second derivative of -5*f**3/3 - 7*f**2/2 - 1288*f. Determine h*w(a) + 6*x(a).
-5*a + 2
Let m(v) = 9*v**3 - 2*v**2 - 33*v + 8. Let g(y) = -5*y**3 + y**2 + 17*y - 4. Calculate 7*g(i) + 4*m(i).
i**3 - i**2 - 13*i + 4
Let c(g) = 5*g**3 + 3*g**2 + 7*g + 24. Let l(o) = 9*o**3 + 5*o**2 + 12*o + 49. Calculate -5*c(n) + 3*l(n).
2*n**3 + n + 27
Let a(s) = -36*s**2 - 7*s - 4. Let o(g) = 105*g**2 + 20*g + 11. Give 17*a(j) + 6*o(j).
18*j**2 + j - 2
Let x = 11 - 10. Let o = -7 + x. Let l be (180/126)/(4/14). Let n(t) = 7*t - 4. Let a(g) = 6*g - 3. Calculate l*n(w) + o*a(w).
-w - 2
Let x(i) = 2*i + 1. Let b(z) = z + 9. Let g be b(-5). Let a(k) = 7*k - 3*k + 5 + g*k. Calculate 2*a(n) - 9*x(n).
-2*n + 1
Let f(u) = 23*u**3 + 17*u**2 - 5*u - 17. Let d(a) be the third derivative of a**6/30 + a**5/20 - a**4/24 - a**3/2 - 2*a**2 - 2. Give -34*d(y) + 6*f(y).
2*y**3 + 4*y
Let z(i) = -i**2. Let l be (-2)/(-6) + (-6)/(-9). Let n(h) = 1 + 0*h + 365*h**2 - 3*h - 363*h**2. Give l*n(x) + z(x).
x**2 - 3*x + 1
Let g(k) = -67*k**2 + 3*k + 3. Let q(v) = -5963*v**2 + 268*v + 268. What is -268*g(f) + 3*q(f)?
67*f**2
Let t(c) = -2210*c + 15. Let u(m) = -158*m + 1. Calculate -4*t(w) + 55*u(w).
150*w - 5
Let l(j) = j. Let q(n) = -5*n + 1. What is 18*l(v) - 2*q(v)?
28*v - 2
Suppose -i - 11 = -3*p, 5*i + 7*p = 11*p. Let t(f) = 2*f**3 - 3*f**2 + 4*f + 4. Let q(v) = -3*v**3 + 4*v**2 - 5*v - 5. Determine i*q(x) + 5*t(x).
-2*x**3 + x**2
Let r(u) = 13*u**2 + 21*u + 19. Let p(k) = -6*k**2 - 10*k - 9. What is -9*p(t) - 4*r(t)?
2*t**2 + 6*t + 5
Let o(j) = -27*j**3 + 9*j**2 + 9*j + 9. Let f(z) = 13*z**3 - 5*z**2 - 5*z - 5. Let t(v) = -v**2 + 33*v - 187. Let g be t(7). Give g*o(h) - 9*f(h).
18*h**3
Let j(w) = -6*w - 1. Let t(y) = -6*y - 1. Suppose -16*a + 12*a - 3*x = 12, 6 = -2*a + 5*x. What is a*t(u) + 2*j(u)?
6*u + 1
Let x(f) = 18 - 21 + 4*f + 7 + 2*f**3. Let v(w) = 4*w**3 - 2*w + 1. Let r(s) = 3*s**3 - s + 1. Let m(h) = -3*r(h) + 2*v(h). Calculate -4*m(p) - x(p).
2*p**3
Let d(j) = 5*j**3 + 2*j. Let u(a) be the first derivative of -25*a**4/4 - 11*a**2/2 - 14. Determine 11*d(p) + 2*u(p).
5*p**3
Let p(a) = -5*a**3 + 6*a**2 - 6*a - 6. Let s(g) = -11*g**3 + 13*g**2 - 13*g - 13. Suppose -2*t = -5*j - 38, 16*j = 13*j - 2*t - 10. Determine j*s(q) + 13*p(q).
q**3
Let d(l) = 1. Let i(c) = -c. Let r be i(4). Let q(k) be the first derivative of k**2 - 5*k + 1750. What is r*d(j) - q(j)?
-2*j + 1
Let z(l) = -l**2 - 1. Let s(i) be the second derivative of 0 + 5/2*i**2 + 17*i + 0*i**3 + 1/3*i**4. Suppose 0 = -2*a - 0*a - 18. Calculate a*z(w) - 2*s(w).
w**2 - 1
Let f(c) = 2*c**2 + 7*c + 3. Let h(m) = -5*m**2 - 22*m - 8. Let o(u) = -7*f(u) - 2*h(u). Let y(s) = 4*s**2 + 6*s + 6. Determine -6*o(x) - 5*y(x).
4*x**2
Let y(f) = -14*f**3 + 11*f**2 - 10*f - 6. Let k(z) = -3*z**3 + 2*z**2 - 2*z - 1. Calculate 11*k(w) - 2*y(w).
-5*w**3 - 2*w + 1
Let p(r) = -r**2 - 5*r + 28. Let c = 24 - 32. Let b be p(c). Let n(o) = 3*o + 5. Let f(j) = j + 2. Determine b*n(w) - 11*f(w).
w - 2
Let y(g) = -4*g**3 + 11*g**2 + 36*g + 9. Let z(v) = 2*v**3 - 5*v**2 - 18*v - 4. Determine -4*y(x) - 9*z(x).
-2*x**3 + x**2 + 18*x
Let i(v) = -v**2 + v. Suppose -3*x + 5 + 4 = 0. Let f(t) = 65*t**2 - x*t - 33*t**2 + t - 30*t**2. Calculate 3*f(y) + 5*i(y).
y**2 - y
Let t(g) = g**2 - 7*g + 7. Let v = -153 - -159. Let k(j) = j**2 - 6*j + 6. Determine v*k(h) - 5*t(h).
h**2 - h + 1
Let p(u) = u**3 + 2*u**2 + 2*u - 2. Let k(r) be the second derivative of 5/6*r**3 + 1/10*r**5 + 5/12*r**4 - 5/2*r**2 + 0 - 12*r. Calculate -4*k(f) + 10*p(f).
2*f**3
Let v(r) = 7*r**3 - 2*r. Suppose -5*h - 4*t + 23 = 0, -102 = 2*h - t - 119. Let d(w) = 22*w**3 - 7*w. What is h*v(y) - 2*d(y)?
5*y**3
Let f(b) = -11*b - 9. Let r(z) = -6*z - 5. Suppose -6 = 10*x - 8*x. Let s(y) = y**3 - 5*y**2 - 9*y + 8. Let j be s(6). Let v = x - j. Calculate v*r(i) - 4*f(i).
2*i + 1
Let l(b) = 54*b**3 - 9*b**2 - 39. Let v(u) = 28*u**3 - 5*u**2 - 20. Give -5*l(k) + 9*v(k).
-18*k**3 + 15
Let c(j) = 36*j**3 + 42*j**2 + 6*j. Let q(v) = -35*v**3 - 38*v**2 - 5*v. Give -5*c(g) - 6*q(g).
30*g**3 + 18*g**2
Let f(w) = 5265*w**2 - 225*w. Let s(p) = 47*p**2 - 2*p. Determine 6*f(x) - 675*s(x).
-135*x**2
Let m(j) = 2*j - 1 + j**2 - 4*j**2 + 4*j**2 - 3*j. Suppose 8 = -18*h - 82. Let l(n) = 3*n**2 - 6*n - 5. Calculate h*m(f) + l(f).
-2*f**2 - f
Let c(j) = 249*j**2 + 7*j + 10. Let y(i) = 248*i**2 + 5*i + 8. What is 4*c(w) - 5*y(w)?
-244*w**2 + 3*w
Let z(d) = -78*d**3 - 5*d**2 + 6*d + 13. Let p(f) = 74*f**3 + 4*f**2 - 5*f - 13. What is 6*p(q) + 5*z(q)?
54*q**3 - q**2 - 13
Let d(f) = 2*f + 1. Let q(l) = 222*l**2 - 6*l - 4. Determine 3*d(y) + q(y).
222*y**2 - 1
Let g(z) = -4*z + 7 + 0*z - 3*z + 8*z**3. Let h(y) = 13*y**3 + 20*y**3 - 47*y**3 + 13*y**3 + y - 1. Let f be (2/4)/(9/72). Calculate f*g(d) + 28*h(d).
4*d**3
Let l(v) = -v**3 - v**2 + 1. Let x = 915 + -914. Let j(z) = 4*z**3 + 7*z**2 - 3. Give x*j(d) + 3*l(d).
d**3 + 4*d**2
Let z(j) = 35*j - 3. Let c(b) = -3116*b + 266. Give 3*c(p) + 266*z(p).
-38*p
Let u = 23 + -16. Let m(c) = -c. Let k(w) be the first derivative of 3*w**2 - 7*w - 6. Let j(b) = -k(b) + 4*m(b). Let p(z) = -3*z + 2. Give u*p(v) - 2*j(v).
-v
Let t(j) = 3*j**3 + j - 1. Let i(v) = -6*v**3 - 2*v**2 - 5*v + 1. Give i(y) + t(y).
-3*y**3 - 2*y**2 - 4*y
Let d(o) = -1222*o**2 + 5*o. Let g(u) = -12831*u**2 + 52*u. What is 52*d(s) - 5*g(s)?
611*s**2
Let l(d) = 2*d**2 + 3*d - 4. Let c(u) = u**2 + u - 1. Suppose -o = -3*p - p - 1, -3*o + 2*p = -3. Determine o*l(f) - 4*c(f).
-2*f**2 - f
Let m(l) = -l**2 - 4*l + 5. Let q(r) = r - 1. Determine -m(v) - 4*q(v).
v**2 - 1
Let i(w) = 12*w + 22. Let z(d) = -18*d - 34. Give -8*i(a) - 5*z(a).
-6*a - 6
Let c(y) = 257*y - 3. Let u(i) = -4368*i + 52. Calculate -104*c(k) - 6*u(k).
-520*k
Let z(x) = -3*x. Let t(o) = -11*o + 17. Let h(p) = -2*p + 3. Let m(a) = -34*h(a) + 6*t(a). Let j = 125 - 120. Give j*m(y) + 2*z(y).
4*y
Let w(y) be the third derivative of y**6/120 - y**5/15 - y**4/4 - y**2 + 13. Let v(o) = -o**3 + 5*o**2 + 7*o. Calculate 4*v(l) + 5*w(l).
l**3 - 2*l
Let g(v) = -v**3 + v. Let s(u) = -3*u**2 - 5*u. Let z(t) = -5*g(t) - s(t). Let n(f) = -f**2. Calculate -3*n(k) - z(k).
-5*k**3
Let n(x) = -35*x**3 - 2*x**2 - 7*x - 3. Let k(m) = -34*m**3 - 2*m**2 - 9*m - 4. Give 4*k(v) - 5*n(v).
39*v**3 + 2*v**2 - v - 