3. Let y be (g - 1)*(4 - 3). Calculate y*a(t) + 4*c(t).
t**3 - 1
Let f(h) = h + h**3 - 2*h**2 + 9870 - 3*h - 9870. Let g(d) = 5*d**3 - 9*d**2 - 9*d. Suppose -12 = -2*m - 2*l, 3*l = -3*m + 2*m. Give m*f(a) - 2*g(a).
-a**3
Let t(c) = c**2 + 3*c + 2. Let l(h) = 16*h**2 + 45*h + 22. What is -2*l(o) + 22*t(o)?
-10*o**2 - 24*o
Let y(j) = -166*j + 4. Let o(w) = -166*w + 5. Determine 2*o(u) - 3*y(u).
166*u - 2
Let a(p) = 704*p + 112. Let s(c) = 19*c + 3. Determine 6*a(k) - 224*s(k).
-32*k
Let v be (-16)/(55/(-25) - 2/(-10)). Let g(c) = -8 + 26 - 8 - c - v. Let t(a) = -a + 2. Give -7*g(q) + 6*t(q).
q - 2
Let z(x) = -5*x**2 - 6*x + 1. Let y(m) = -m**2 - m. Suppose s = 2*v - 3*s + 18, 2*s - 13 = -3*v. Let h = v + 3. Suppose -5 + 1 = h*b. Calculate b*z(t) + 6*y(t).
-t**2 - 1
Let x(g) = -2. Suppose 3*s = 4*t - 46, 4*t - 2*t - 22 = s. Let j(i) = -i - 7. Give t*x(y) - 2*j(y).
2*y - 6
Let c(f) = 2*f**2 - 5*f + 4 - 4 + f**3. Let n = -40 + 123. Let w(s) = n*s**2 - 3*s**3 - 21*s + 2*s**3 - 74*s**2 + 5*s**3. Determine 9*c(j) - 2*w(j).
j**3 - 3*j
Let a(z) = -41*z**2 + 8*z - 42. Let n(o) = -27*o**2 + 5*o - 27. Determine 5*a(b) - 8*n(b).
11*b**2 + 6
Suppose -3*q - 24 = 84. Let d(x) = -16*x**2 + 18*x + 18. Let i(h) be the first derivative of h**3/3 - h**2/2 - h + 129. What is q*i(f) - 2*d(f)?
-4*f**2
Let j(r) = 467*r**3 - r**2 + 3*r. Let m(y) = 467*y**3 - y**2 + 4*y. Give -4*j(x) + 3*m(x).
-467*x**3 + x**2
Let m(y) = 5 + 0*y**3 - 2*y - 7 + y**3 + 0*y. Let i(h) = -3*h + 2*h**3 + 0*h**2 + 4*h**2 - 3 + 3*h**2 - 7*h**2. Give 4*i(u) - 6*m(u).
2*u**3
Let q(c) = c**3 - c**2 + c - 1. Let m(o) = -4*o**3 - 7*o + 5. What is m(b) + 6*q(b)?
2*b**3 - 6*b**2 - b - 1
Let x(m) = 18*m**3 + 12*m**2 - 12*m - 12. Let b = 461 - 449. Let j(t) = -7*t**3 - 5*t**2 + 5*t + 5. Determine b*j(d) + 5*x(d).
6*d**3
Let d(v) = 4*v**2 + 53*v - 4. Let z(g) = -13*g**2 - 159*g + 11. Give 11*d(c) + 4*z(c).
-8*c**2 - 53*c
Suppose 0 = t + 4, -2*q = -2*t - 2 + 4. Let p(d) = d**2 - 5*d - 5. Let l(h) = 218*h - 104*h + 0 + 4 - 110*h. What is q*l(r) - 4*p(r)?
-4*r**2
Let f(q) = q**2 + q - 5. Let c(j) be the first derivative of 2/3*j**3 - 9*j + 1/2*j**2 + 22. Determine 3*c(w) - 5*f(w).
w**2 - 2*w - 2
Let q(k) = -67*k + 4. Let o(w) = -200*w + 10. Calculate -3*o(a) + 8*q(a).
64*a + 2
Let c(f) = -11*f + 1. Suppose -3*a - 12 = 0, -4*r - 5*a + 37 = -15. Let l(i) = 4*i - 1 + 13*i - r*i + 8*i. Calculate -5*c(n) - 8*l(n).
-n + 3
Let f(t) = -6*t - 5. Let a(l) = -3*l**2 - 5*l - 10. Let n(i) = -10*i**2 - 14*i - 32. Let k(m) = 7*a(m) - 2*n(m). Calculate 3*f(c) - 2*k(c).
2*c**2 - 4*c - 3
Let k(a) = 1 + 0*a - 7 + 8*a + 9. Let i(s) = 16*s + 7. Calculate 4*i(d) - 9*k(d).
-8*d + 1
Let c(a) = -544*a + 6. Let l(x) = -1087*x + 10. Give 5*c(w) - 3*l(w).
541*w
Let a(f) = -11*f**2 + 8*f - 11. Let r be ((-4)/(-1))/((-10)/(-20)). Let j = -3 + 9. Let z(w) = -j + 2 + 3*w - 4*w**2 - 1 + 1. Calculate r*z(s) - 3*a(s).
s**2 + 1
Let u = 742 + -741. Let n(r) be the second derivative of r**3/6 - r**2/2 - r. Let o(t) = 2. What is u*n(l) + o(l)?
l + 1
Let v(z) = 19*z**3 + 3*z**2 - 3*z - 3. Let l(k) = 247*k**3 + 38*k**2 - 38*k - 38. Calculate -3*l(s) + 38*v(s).
-19*s**3
Suppose 15*q + 5 = 2*q + 18. Let h(m) = m**2 + m + 1. Let l(f) = f**2 - 2*f - 2. Suppose 0 = 2*v - 7 + 3. Determine q*l(y) + v*h(y).
3*y**2
Let c(v) = 4*v**2 - 448*v - 1 + 447*v + 0. Let a(t) = -t**2 + t + 1. What is -2*a(s) - 2*c(s)?
-6*s**2
Let l(v) = -2 - v - v**2 + 3 + 0*v. Let d(w) = 5*w**2 + 6*w - 6. Let h = -294 - -288. Give h*l(q) - d(q).
q**2
Let y(z) = -3*z + 3. Let s(g) = -2*g + 2. Let d(k) = k**2 - 4*k - 4. Suppose 2*u = -u + 12. Let h be d(u). What is h*y(a) + 5*s(a)?
2*a - 2
Let q(g) = 5066*g - 5364. Let i(x) = -2*x + 2. Calculate -5364*i(a) - 2*q(a).
596*a
Let p(w) = w**2 - w + 1. Let n(s) = s**2 - s - 2. Let c(i) = -5*i**2 - 2*i. Let j(u) = c(u) - n(u). Calculate -j(z) + 2*p(z).
8*z**2 - z
Let h(v) = 4. Suppose -6*r = -10*r - 3*n + 2, 4*r + 2*n + 4 = 0. Let x(o) be the first derivative of -o**4/4 + 5*o - 1. Determine r*x(u) + 5*h(u).
4*u**3
Let f(c) = -4*c**2 + 2*c - 1. Let d(s) = -3*s**2 + 2*s - 1. Let k = 49 - 54. Calculate k*d(g) + 4*f(g).
-g**2 - 2*g + 1
Let t(l) = -2*l - 10. Let f(v) = -6*v - 29. Let a = 203 - 207. Calculate a*f(r) + 11*t(r).
2*r + 6
Let k(y) = -2*y**2 + 5*y + 5. Let n(i) = 3*i**2 - 7*i - 8. Let b = -499 + 491. Calculate b*k(q) - 5*n(q).
q**2 - 5*q
Let c(j) = -6*j**3 + 36*j - 36. Let b(l) = l**3 - 5*l + 5. Let k(d) = 8*d - 347. Let t be k(44). Calculate t*c(i) + 36*b(i).
6*i**3
Let r(q) = q. Let n(s) = -2 + 1 - 29*s + 24*s. Give 2*n(d) + 11*r(d).
d - 2
Let h be (9/(-36) - 6/(-8))*-2. Let k(r) = -r**2 + r. Let d(i) = 6*i**2 - 6*i - 1. What is h*d(y) - 4*k(y)?
-2*y**2 + 2*y + 1
Let t(a) = -a**3 - 6*a**2 + 2*a + 6. Let u be t(-6). Let f(m) = -2*m - 11. Let s = -1402 - -1391. Let w(y) = y + 6. Calculate s*w(g) + u*f(g).
g
Let g(a) = 5*a - 4. Let z be 2/(85/75 - 1). Let s(l) = -3 + 6*l - 10 + z*l - 4. Calculate 9*g(q) - 2*s(q).
3*q - 2
Let p(g) = 38*g**2 - 23*g + 5. Let o(v) = -13*v**2 + 8*v - 2. Calculate -11*o(d) - 4*p(d).
-9*d**2 + 4*d + 2
Let q(z) = -60*z**3 - 7*z**2 + 7*z - 7. Let m(c) = -c**3 - c**2 + c - 1. Give 14*m(o) - 2*q(o).
106*o**3
Let x(f) = f + 2. Let r(m) = -3 + 3*m - 4*m + 3 - 1. Let o(n) = n**2 + 9*n + 5. Let h be o(-8). Let q be (2 - -2)/(-4 - -3). Give h*x(t) + q*r(t).
t - 2
Let r(u) = -u**2 + u + 1. Let z(p) = -2*p + 13. Let x = 1 - -8. Let k be z(x). Let o = k - -4. Let n(j) = -3*j**2 + j + 1. Determine o*n(g) + r(g).
2*g**2
Suppose 12*g - 108 = 24. Suppose -3*x - 5*p - 9 = 0, -3*x - 3*p - g = -4*x. Let i(k) = -4*k. Let h(l) = l. What is x*h(d) + i(d)?
-2*d
Let l(u) = -40 + 11 + 6*u + 18. Suppose 0 = -3*j + 3*v + 18, -4*j = -6*v + 4*v - 20. Let n = -6 + j. Let s(c) = -c + 2. Determine n*l(b) - 11*s(b).
-b
Let q(h) = 152*h - 4 - h**2 - 150*h + 4. Let m be -3 + 15 + (1 - 4). Let n(g) = -5*g**2 + 8*g. Suppose 0 = -3*k - 3 - 3. Calculate k*n(t) + m*q(t).
t**2 + 2*t
Let j(n) = 2*n - 2. Let y(l) = -2304*l + 2880. Give 1440*j(p) + y(p).
576*p
Let q(h) = -81*h**3 - 2*h**2 + 4*h - 3. Let i(z) = 121*z**3 + 3*z**2 - 6*z + 5. Determine -5*i(t) - 8*q(t).
43*t**3 + t**2 - 2*t - 1
Let q(h) = 3*h - 4. Let b(y) = 29*y - 3 - 54*y + 29*y. Determine 4*b(i) - 3*q(i).
7*i
Let c(n) = 8*n + 9. Let w(y) = -16*y - 19. Calculate 7*c(x) + 3*w(x).
8*x + 6
Let n(a) = 4*a**2 + 6*a - 6. Let c(m) = -m**3 + 6*m**2 + 17*m - 20. Let j be c(8). Let t(h) = h**2 + h - 1. Give j*t(o) + 2*n(o).
-4*o**2
Let h(u) = -u + 1. Let j(f) = 3*f + 21 - 24 - 7*f. What is -3*h(m) - j(m)?
7*m
Let y(d) be the second derivative of -3*d**4/4 + 5*d**3/6 + 9*d**2/2 + 56*d. Let c(o) = 5*o**2 - 3*o - 5. Calculate 7*c(f) + 4*y(f).
-f**2 - f + 1
Let p(u) = -2*u**2 - u - 4. Let d(q) be the second derivative of q**4/4 + q**3/6 + 7*q**2/2 + 43*q. Give 3*d(t) + 5*p(t).
-t**2 - 2*t + 1
Let k(r) = 2*r + 459. Let q(z) = -z - 153. What is -3*k(n) - 8*q(n)?
2*n - 153
Let s(w) = -w**3 - w**2 + 1. Let t(f) = 2*f**2 - 28*f**3 + 23*f**3 + 2 - 5*f**2 + 1. Determine 6*s(l) - 2*t(l).
4*l**3
Suppose 3*h = -3*d + 24, 5*d = 2*h + d - 16. Let t(z) = -h - 3 + 13 - 5*z + z**2 - 1. Let r(f) = f**2 - 4*f + 1. Determine -5*r(n) + 4*t(n).
-n**2 - 1
Let m(l) = l**3. Suppose 7*q + 1066 - 1073 = 0. Let i(w) = 20*w**3. What is q*i(y) + 2*m(y)?
22*y**3
Let r(l) = 5*l + 11. Let f(p) = 5 + 7*p + 5*p - 9*p - p. Give -9*f(q) + 4*r(q).
2*q - 1
Let x(l) = l - 1. Let s(n) = -296*n - 12. Calculate -s(z) + 12*x(z).
308*z
Let b(s) = -3*s**2 + 2*s + 13. Let r(u) = -25*u**2 + 17*u + 103. Calculate -51*b(c) + 6*r(c).
3*c**2 - 45
Let f be 2/4*4 + 1. Let h(p) = -p - 2*p**f + p**3 + 4*p**3. Let j(t) be the second derivative of -t**5/20 - 1276*t. What is 2*h(x) + 4*j(x)?
2*x**3 - 2*x
Let b(f) = 3*f - 14. Let p be b(17). Let i(j) = -43*j + 84*j + 4 - p*j. Let g(t) = 1 - 3 + 3 + 0. What is -4*g(o) + i(o)?
4*o
Let k(t) = -11*t + 8. Suppose 2*w - 2*u + 4 = -12, 28 = -5*w - u. Let i(c) = c - 1. What is w*i(g) - k(g)?
5*g - 2
Let b(u) = u**2 - 7*u - 5. Suppose -131 - 37 = -12*r. Let g(p) = p**2 - 3*p - 2. Calculate r*g(y) - 6*b(y).
8*y**2 + 2
Let d = 887 - 883. Let m(v) = -3*v + 12. Let i(y) = 7*y - 23. What is d*i(g) + 9*m(g)?
g + 16
Suppose 48 = 5*x + p, 3*x - x + 3*p = 14. Let a(l) = -9*l - 5*l + x*l. Let h(k) = -5*k + 1. What is -3*a(