*m(i) - h(i).
i
Let z(m) = -m**3 + m + 1. Suppose -41*u = -34 - 48. Let x(i) = 5*i**3 - i - 1. Give u*x(c) + 2*z(c).
8*c**3
Let p = 58 + -53. Suppose 30*k - 24*k = -36. Let l(u) = -5*u + 5. Let g(h) = -5*h + 6. Determine k*l(o) + p*g(o).
5*o
Let z(i) = 5*i**3 - 5*i**2 - 7*i + 1. Suppose -25 = -4*d - d. Let o(r) = 4 + d*r**3 - 11*r - 3 - 6*r**2 + 3*r. Give 5*o(p) - 6*z(p).
-5*p**3 + 2*p - 1
Let m(i) = -5*i**2 + 2*i - 2. Let a(r) = 4 + 3*r - 11*r**2 - 8 + 2*r - 1. Determine -3*a(p) + 7*m(p).
-2*p**2 - p + 1
Let x(k) = 5*k - 2. Suppose 4*u = 2*v - 4, -3*v = -0*v + u - 13. Suppose v*b - 16 = 3*b. Suppose 3*y = -y + b. Let l(j) = -6*j + 2. Determine y*x(s) + 3*l(s).
2*s - 2
Let j(m) = 7*m + 2098 - 2098. Let w(f) = 64*f + 89 - 89. Determine -28*j(l) + 3*w(l).
-4*l
Let o(f) = 6*f**3 + 7*f**2 - 2*f + 6. Let g(u) = -19*u**3 - 23*u**2 + 7*u - 19. What is -2*g(c) - 7*o(c)?
-4*c**3 - 3*c**2 - 4
Let y(t) = 8*t - 17. Let c(w) = 4*w - 8. What is -5*c(j) + 2*y(j)?
-4*j + 6
Let z(m) = -14*m**3 - 53*m**2 + 19*m**2 - 6 + 8*m - 2 + 20*m**2. Let t(s) = -5*s**3 - 5*s**2 + 3*s - 3. Give 8*t(b) - 3*z(b).
2*b**3 + 2*b**2
Let d(l) = -7*l**2 - 5*l + 3. Let k(x) = -8*x**2 - 4*x + 4. Calculate -4*d(o) + 3*k(o).
4*o**2 + 8*o
Let z(m) = 342*m - 12. Let c(x) = 5. What is -2*c(n) - z(n)?
-342*n + 2
Let j(y) = -5*y + 2. Let l(d) = 11*d - 4. Suppose 48*s - 55 - 377 = 0. What is s*j(p) + 4*l(p)?
-p + 2
Let c(v) = 5*v - 7*v + 4*v - 1. Let y(g) be the second derivative of -g**2/2 + 8*g. What is c(h) - 2*y(h)?
2*h + 1
Let d(o) be the first derivative of -o**3/3 + o - 65. Let q(g) = -g**3 + 4*g**2 - 4. What is -7*d(w) - 2*q(w)?
2*w**3 - w**2 + 1
Let s(n) = 3*n. Let h(p) = -3. Determine 2*h(k) + s(k).
3*k - 6
Let r(t) = t**3 + 5*t**2 + 11*t + 10. Suppose c - 2*c = 29. Let k = c - -31. Let y(b) = b**2 + 2*b + 2. Let x = -12 - -1. Determine k*r(p) + x*y(p).
2*p**3 - p**2 - 2
Let r(k) = -k + 3. Let g(m) be the first derivative of -2*m**2 + 10*m + 6. Let t be ((-12)/(-5))/((-9)/(-75)). Calculate t*r(n) - 6*g(n).
4*n
Let f(s) = 7*s**2. Let v(l) = 3*l**2. Suppose -4 - 8 = 3*y, 0 = 3*g - y - 49. Suppose 21 = -4*j - q, 3*q + 0*q - 9 = 0. Determine g*v(i) + j*f(i).
3*i**2
Let h(r) = -15*r + r + 3 + 0. Let m(c) = -c + 24. Let i be m(7). Let z(d) = -d - 7. Let s(q) = q + 13. Let f(k) = -6*s(k) - 11*z(k). What is i*f(y) + 6*h(y)?
y + 1
Let z be ((10 + -4)/(-1))/(-2). Let s be 4 + 0*(z - 4). Let y(x) = -6*x + 3. Let t(b) = 5*b - 2. Give s*y(f) + 6*t(f).
6*f
Let j(t) = 2 - 3*t + 1 - t. Let y(h) = 5 + 52*h + 45*h - 104*h. Let a(r) = r**3 - 5*r**2 + 7*r - 6. Let s be a(4). Calculate s*y(v) - 10*j(v).
-2*v
Let x(c) = -2*c**3 + 3*c**2 - 3*c + 5. Let f(z) = 4*z**3 - 5*z**2 + 6*z - 11. Determine 3*f(t) + 5*x(t).
2*t**3 + 3*t - 8
Let t(l) = -2*l**2 - 6*l + 5. Let r be t(4). Let x be (2610/r)/10 + 4/34. Let u(m) = 11*m**2 + 2*m + 8. Let h(p) = 7*p**2 + p + 5. Calculate x*u(b) + 8*h(b).
b**2 - 2*b
Let a(x) = -6 + x - 2 + 8. Let n(j) be the third derivative of 5*j**4/24 - j**3/6 + 13*j**2. Give -9*a(y) + 2*n(y).
y - 2
Let v be 10/(-30) - 120/(-9). Suppose v = -4*r + 3*o - 14, 0 = -3*r - 5*o - 13. Let m(c) = 7*c**2 + c - 8. Let u(s) = -8*s**2 - s + 9. Give r*u(x) - 7*m(x).
-x**2 - x + 2
Let z(w) = -10*w**2 + 5*w + 5. Let g(r) = -50*r**2 + 24*r + 22. What is -3*g(m) + 14*z(m)?
10*m**2 - 2*m + 4
Let s(u) be the second derivative of -3*u**5/5 + 7*u**4/12 + 13*u**3/6 + 5*u**2 - u + 29. Let x(q) = -4*q**3 + 2*q**2 + 4*q + 3. Calculate 2*s(t) - 7*x(t).
4*t**3 - 2*t - 1
Suppose l - 4*f = 5, -2*l - 3*l + 3 = 2*f. Suppose -23*m - 4*u - 44 = -17*m, 5*u + 17 = 2*m. Let n(g) = -6*g + 7. Let a(d) = -d + 1. What is l*n(v) + m*a(v)?
-2*v + 3
Let i(v) = v**2 - 3. Let u(f) = -4*f**2 + 12. Let p(t) = -i(t) - u(t). Let x(q) = -4*q**2 + 9. Calculate 3*p(d) + 2*x(d).
d**2 - 9
Let c(p) = p**2 + p + 1. Let j(q) = 5*q**2 + 4*q - 130. What is -6*c(r) + j(r)?
-r**2 - 2*r - 136
Let u(b) = -88*b + 2*b + 27*b + 33*b - 13 + 36. Let n(c) = -9*c + 8. Determine -17*n(f) + 6*u(f).
-3*f + 2
Let j(a) = -a**3 - 4*a**2 - 4*a. Let o(r) = -10*r - 11*r**2 - 3*r**3 - 4*r + 3*r. Suppose 134 = 26*h - 308. Determine h*j(x) - 6*o(x).
x**3 - 2*x**2 - 2*x
Let z(d) = 3*d - 7. Let n(r) = 4*r + 1932 - 3861 + 1923. Give 7*n(w) - 6*z(w).
10*w
Let x(k) = -7*k - 9. Let v(t) = 3*t + 4. Suppose 3*j + 6 = -3*f + 4*f, 2*f - 2*j + 8 = 0. Let w(n) = -n**2 + 47*n + 256. Let s be w(-5). Give f*v(o) + s*x(o).
o
Let u(h) = -21*h**2 - 3. Let l(q) = -20*q**2 - q - 4. Determine -2*l(k) + 3*u(k).
-23*k**2 + 2*k - 1
Let j(d) = -d**3 + 2*d**2 - 2. Let l(t) = -3*t**3 + t**2 - 34*t - 2. Give j(z) - l(z).
2*z**3 + z**2 + 34*z
Let i(d) = 230 - 8*d**2 - 230. Let j(x) = -23*x**2. Calculate 17*i(v) - 6*j(v).
2*v**2
Suppose 0 = -y + 4*h + 10, 7*y - 6*y - 37 = -5*h. Let g(x) = y + 93*x - 27*x - 25*x - 27*x. Let r(i) = -2*i - 3. Give -6*g(l) - 44*r(l).
4*l
Let n(d) = d**2 + 1. Let x(m) = -m**2 - m + 1. Let h(r) = 16*r**2 + 8*r - 2. Let k(a) = -h(a) - 8*x(a). What is -k(z) - 6*n(z)?
2*z**2
Let v(j) = -83*j + 122 - 121 + 84*j. Let f(t) = -1. Give -2*f(l) - 2*v(l).
-2*l
Let p(d) = 98*d**2 + 7*d + 6. Let u(c) = -99*c**2 - 9*c - 8. Determine 5*p(a) + 4*u(a).
94*a**2 - a - 2
Let u(d) = d**2 + 2*d + 18. Let j(y) = -y - 9. What is -5*j(c) - 3*u(c)?
-3*c**2 - c - 9
Let b(u) = -19*u**2 + 3*u. Let i be (-8)/(6*(-8)/18). Let x(z) = 132*z**2 - 22*z. Give i*x(n) + 22*b(n).
-22*n**2
Let u(r) = 16*r + 75. Let m(h) = -26*h - 150. What is 3*m(x) + 5*u(x)?
2*x - 75
Let t(a) = 2*a**3 + 3*a**2 - 3*a - 3. Let b = 32 + -11. Suppose -7 + b = -k. Let o(d) = 5*d**3 + 7*d**2 - 7*d - 7. Determine k*t(i) + 6*o(i).
2*i**3
Let t(x) = -34*x**2 - 2*x + 3. Let c(b) = -69*b**2 - 3*b + 5. Calculate -3*c(z) + 5*t(z).
37*z**2 - z
Let t(f) = 42964*f**3 + 391*f**2 + 782*f - 391. Let w(k) = -661*k**3 - 6*k**2 - 12*k + 6. Calculate 6*t(a) + 391*w(a).
-667*a**3
Let y(z) = z**2 - z - 2. Let m be y(2). Suppose m = -s + 2*s - 7. Let u(o) = 2*o**2 + 10*o + 7. Let l(w) = 2*w**2 + 9*w + 6. Calculate s*l(p) - 6*u(p).
2*p**2 + 3*p
Let f = 383 - 390. Let t(i) = -4*i - 3. Let q(s) = -3*s - 2. Determine f*q(o) + 5*t(o).
o - 1
Let o(s) = -s**2 + s + 1. Suppose 2*v + q = 5 - 1, v - 8 = -2*q. Suppose v = -6*k + 7 + 5. Let a(t) = k + 2*t - 4*t**2 - 4*t - t + 4*t. What is -a(z) + 3*o(z)?
z**2 + 2*z + 1
Let i(l) be the first derivative of -3*l**2 - 3*l - 291. Let w(r) = -6*r - 2. What is 2*i(a) - 3*w(a)?
6*a
Suppose 8*s - 2009 = -2033. Let q(f) = 5 - f - 6 + 4*f - 4*f. Let k(z) = -6*z - 3. Let d(r) = -r. Let g(l) = 2*d(l) - k(l). Determine s*q(a) - g(a).
-a
Let a(k) = 4*k**2 + 3*k + 3. Let v(s) = -3*s**2 - 2*s - 2. Suppose -36 = 13*n + 42. Give n*v(h) - 4*a(h).
2*h**2
Let k(f) = -2*f. Let w(i) = -18*i - 15. Determine -3*k(d) + w(d).
-12*d - 15
Suppose 2*x = -0 + 12. Let s(o) = -5*o**3 - 6*o**2 - 6*o - 6. Let f(y) = y + 28*y**3 - 23*y**3 - 4*y**3 + 1 + y**2. What is x*f(m) + s(m)?
m**3
Let j(p) = 124*p**3 - 11*p**2 + 15*p. Let g(m) = -61*m**3 + 6*m**2 - 8*m. Determine -11*g(o) - 6*j(o).
-73*o**3 - 2*o
Let a(f) = 6*f**3 - 3*f - 36. Let j(g) = 5*g**3 - 2*g - 37. What is -2*a(x) + 3*j(x)?
3*x**3 - 39
Let s(k) = 285*k + 2. Let d(z) = -568*z - 4. Determine 3*d(c) + 7*s(c).
291*c + 2
Let r(k) = -10*k**3 + 21*k - 67. Let c(z) = -2*z**3 + 4*z - 13. Give -11*c(y) + 2*r(y).
2*y**3 - 2*y + 9
Let i(l) = 6*l**2 + l + 4. Let n(k) be the first derivative of k**3/3 + k - 73. Calculate -i(z) + 4*n(z).
-2*z**2 - z
Let l(r) = 47*r**2 - 3*r - 4. Let x(c) = -48*c**2 + 4*c + 5. What is 5*l(s) + 4*x(s)?
43*s**2 + s
Let p(s) be the second derivative of -s**3/6 - 2*s**2 + 6*s - 1. Let h(w) = -6*w - 27. Calculate 4*h(j) - 27*p(j).
3*j
Let z(c) = -4*c**2 - 20*c. Let m(r) = r**2 + 7*r. Let g = -2437 - -2444. What is g*m(v) + 2*z(v)?
-v**2 + 9*v
Let o(a) = -66*a**2 + 220*a + 55. Let u(x) = -x**2 + 4*x + 1. Determine -o(g) + 55*u(g).
11*g**2
Let g(v) = -9*v**2 - 4*v - 4. Let j(t) = -t**3 + 24*t**2 + t - 22. Let z be j(24). Let i(n) = -z*n - 108 - n + 105 - 8*n**2. Determine 3*g(m) - 4*i(m).
5*m**2
Suppose -3*p + 6*p - 4*z + 5 = 0, 0 = -4*p + 4*z - 8. Let j(b) = 2*b**2 - 13*b - 8. Let r(l) = l**2 - 4*l - 3. Determine p*j(v) + 8*r(v).
2*v**2 + 7*v
Let r(j) = -1325*j + 6. Let q(d) = 2918976*d - 13220. Give 3*q(y) + 6610*r(y).
-1322*y
Let l(z) = -2*z**3 + 5*z**2 - 2*z. Let c(