- 1
Let n(i) = -135*i**3 + 540*i**2 + 270*i. Let z(p) = p**3 - 2*p**2 - p. Determine -n(j) - 270*z(j).
-135*j**3
Let x(a) = -a - 3. Let f(m) be the first derivative of m**2 + 4*m - 61. Calculate -2*f(n) - 3*x(n).
-n + 1
Let t(w) = 3*w**3 - 2*w**2 - 48*w - 8. Let p(s) = -5*s**3 + 4*s**2 + 97*s + 14. What is -4*p(i) - 7*t(i)?
-i**3 - 2*i**2 - 52*i
Suppose -3*i + 0*i = 3, -2*d + i = -37. Let l = d - 12. Let z(q) = -4*q. Let f(k) = 35*k. Let s(a) = -3*a. Let c(t) = -2*f(t) - 25*s(t). Give l*z(m) + 5*c(m).
m
Let l(y) = 1. Let a(o) be the first derivative of o**2 + 6*o - 98. Determine -a(s) - l(s).
-2*s - 7
Let n(v) = 16*v**2. Let z(j) = 2*j**2 - j + 2. Let r(y) = 20*y**2 - 12*y + 24. Let t(d) = 8*r(d) - 96*z(d). What is -5*n(f) - 3*t(f)?
16*f**2
Let l(g) = 3757*g - 54. Let u(j) = 939*j - 12. What is -2*l(k) + 9*u(k)?
937*k
Let g(o) be the first derivative of -3*o**2/2 - 4*o - 1. Let i(v) = 1. Suppose 4*a - 7 = 3*n, 3*n + 10 = 5*a + 2. Determine n*g(q) - 3*i(q).
3*q + 1
Let s be -3 - -2*(-4)/(8/3). Let c(j) = 1. Let b(u) = -u**2 + u - 6. Suppose -16 = -4*q - 4. Let y = -4 + q. Calculate s*c(f) + y*b(f).
f**2 - f
Let q(m) = -m**3 + 2*m**2 - 2*m. Let c = -10 - -7. Let j = c - -4. Let x be j + 0 + -3 + 20. Let d(p) = 4*p**3 - 9*p**2 + 9*p. What is x*q(u) + 4*d(u)?
-2*u**3
Suppose -z = -32*o + 31*o - 3, z = -o - 7. Let h(s) = 2*s**3 + s**2 + 2*s. Let b(m) = -2*m**3 - 3*m. Give z*b(l) - 3*h(l).
-2*l**3 - 3*l**2
Let c(s) = 9*s**2 - 14*s + 13. Let j(f) = -13*f**2 + 20*f - 20. What is -7*c(w) - 5*j(w)?
2*w**2 - 2*w + 9
Let u(p) = -201*p**3 + 9*p**2 - 12*p. Let h(o) = 101*o**3 - 4*o**2 + 5*o. What is 9*h(x) + 4*u(x)?
105*x**3 - 3*x
Let v(k) = k**2 + 2*k. Let m = -65 - -73. Suppose -278 = -m*f - 110. Let n(z) = -3*z**2 - 7*z. What is f*v(l) + 6*n(l)?
3*l**2
Let t(i) = -210*i**2 + 5*i + 4. Let a(k) = -633*k**2 + 14*k + 11. Determine 4*a(h) - 11*t(h).
-222*h**2 + h
Let z(m) = 16*m**3 - 6*m**2 + m. Suppose -13*w = 5*w - 36. Let v(h) = 3*h**3 - h**2. Calculate w*z(q) - 11*v(q).
-q**3 - q**2 + 2*q
Let l(y) = y. Let g(i) = 3*i + 2. Let u(w) = 2*g(w) - 18*l(w). Let s(f) = -6*f + 2. Calculate -13*s(o) + 6*u(o).
6*o - 2
Let n(w) = -7190*w + 70. Let l(v) = -313*v + 3. Calculate -70*l(q) + 3*n(q).
340*q
Let g(c) = -39*c + 54. Let n(l) = -8*l + 11. Suppose -4*x = -5*u - 21, 5*x = -2*u + 109 - 124. What is u*g(y) + 24*n(y)?
3*y - 6
Suppose -2*y + 2 = -0. Let j(k) be the first derivative of k**2/2 + 4. Let r(c) = -6*c. Give y*r(b) + 5*j(b).
-b
Let u(d) = -2*d**3 + 7*d**2 - 2*d. Let b(t) = -3*t**2 + 121*t**3 - 65*t**3 - 55*t**3 + t. Suppose -s + 3*s = -4, 2*v + 4*s + 28 = 0. Calculate v*b(l) - 4*u(l).
-2*l**3 + 2*l**2 - 2*l
Let t(u) = -u. Let m be 6 - 4*1/2. Suppose 6*v = 2*v + 3*o, -3*o - 12 = 0. Let l(x) be the second derivative of -x**3/6 - x. Calculate m*t(p) + v*l(p).
-p
Let m(t) = 38*t**3 - 11*t**2 - 11*t - 11. Let l(c) = 13*c**3 - 4*c**2 - 4*c - 4. Let w(y) = -y**2 + 15*y - 60. Let g be w(7). Calculate g*m(z) + 11*l(z).
-9*z**3
Let g(i) = 14941*i**3 + 670*i. Let l(w) = 67*w**3 + 3*w. Calculate 3*g(t) - 670*l(t).
-67*t**3
Let t(l) = 19*l + 7. Let c(n) = -2*n - 2 - 3*n - 5*n + 5*n. Determine 22*c(u) + 6*t(u).
4*u - 2
Let y(j) = -2*j + 4. Let t(h) = -20*h + 13. Determine -t(s) + 3*y(s).
14*s - 1
Let d(q) = 13*q + 207. Let k(r) = 2*r - 3. Give d(b) - 5*k(b).
3*b + 222
Let j(y) = 6*y**3 - 21*y**2 + 10. Let t(o) = -2*o**3 + 10*o**2 - 5. Determine 2*j(s) + 5*t(s).
2*s**3 + 8*s**2 - 5
Let p(z) = -z - 16. Suppose -21 = 4*x + 7. Let v(m) = -3 - 2 + 1 - 1. Give x*v(o) + 2*p(o).
-2*o + 3
Let p(a) = -3*a**2 + 6*a + 37. Let d(n) = -3*n**2 + 5*n + 41. What is -5*d(c) + 4*p(c)?
3*c**2 - c - 57
Let b(q) = 2*q**3 + 6*q**2 + 6*q - 1. Let g(z) = -8*z**3 - 25*z**2 - 27*z + 6. Calculate 9*b(t) + 2*g(t).
2*t**3 + 4*t**2 + 3
Let y(l) = 2 + 4*l - 4*l + 0*l**2 - 4 - 10*l**2. Let g(v) = 21*v**2 + 5. Determine -2*g(p) - 5*y(p).
8*p**2
Let v(q) = 9*q + 6. Let n(h) = -10*h - 6. Give 5*n(a) + 6*v(a).
4*a + 6
Let l(i) = -65*i - 2. Let k(g) = -456*g - 15. Give -2*k(x) + 15*l(x).
-63*x
Let o(t) = -1. Let a(i) be the third derivative of i**4/12 + 7*i**3/3 + 83*i**2 - 1. Suppose 52 - 4 = -4*y. Give y*o(c) - a(c).
-2*c - 2
Let g(n) = 1028*n**3 - 8*n - 11. Let b(p) = 257*p**3 - 2*p - 3. Determine 11*b(l) - 3*g(l).
-257*l**3 + 2*l
Let k(f) = 6*f + 6. Let g(r) = 2*r + 2. Let s(m) = 11*g(m) - 4*k(m). Let n = 52 - 49. Let u(y) = -1 + n - 2*y + 2 - 7. Give -3*s(w) + 2*u(w).
2*w
Let f(g) = 1030*g**2 + 10*g. Let u(m) = -6696*m**2 - 64*m. Give 32*f(q) + 5*u(q).
-520*q**2
Let h(t) = -2*t**3 + t**2 + 3*t - 3. Let v be h(1). Let a(z) = -z**3 - 1. Let r(u) = 2*u**3 + u + 5. Calculate v*a(b) - r(b).
-b**3 - b - 4
Let y(s) = 222*s - 5. Let q(x) = -110*x + 2. Calculate 7*q(b) + 3*y(b).
-104*b - 1
Let o(v) = 3*v - 5. Suppose 32*r - 36*r - 16 = 0. Let z(n) be the third derivative of -n**4/4 + 3*n**3/2 + n**2. Determine r*z(j) - 7*o(j).
3*j - 1
Let o(h) = -h - 16. Let f(b) = b - 31. Give 2*f(s) - 5*o(s).
7*s + 18
Let r(c) = c**2 - 1. Let v(l) = -11*l**2 + 8. Let i be 2 + (-14)/4 + 42/(-28). Calculate i*v(j) - 24*r(j).
9*j**2
Let j(n) = 4*n**3 - 7*n**2 + 14*n + 6. Let l(x) = -9*x**3 + 15*x**2 - 28*x - 13. Give 13*j(g) + 6*l(g).
-2*g**3 - g**2 + 14*g
Let r be -8 - -5 - (-6)/(-3). Let u(s) = 6*s**2 - 3*s - 14. Let i(v) = -4*v**2 + 2*v + 9. Determine r*u(c) - 8*i(c).
2*c**2 - c - 2
Let q(l) = -8*l**2 - 2*l + 7. Suppose 4*d = 4*o + 24, 2*d = o + 5 + 3. Let p(i) = 10*i + 4 - 7*i**d - 12*i + 6 - 4. What is -6*p(m) + 5*q(m)?
2*m**2 + 2*m - 1
Let u(p) = 6*p**2 + 2*p - 2*p**3 - 2*p**3 + 32 - 24 - 5 - 4*p. Let w(y) = y**3 - y**2. Determine u(a) + 6*w(a).
2*a**3 - 2*a + 3
Let f(q) = -203*q + 35. Let u(y) = 17*y - 3. Suppose 2*b + 4 = 3*k - 3, -2*b = k - 5. Give k*f(r) + 35*u(r).
-14*r
Let u(z) = 9*z**2 + 22*z - 8. Let l(q) = 7*q**2 + 19*q - 7. Determine -4*l(b) + 3*u(b).
-b**2 - 10*b + 4
Suppose -10 - 14 = 8*g. Let s(j) = -6*j. Let o(k) = 6*k. Calculate g*o(h) - 2*s(h).
-6*h
Let c(v) = 7*v**3 - 4*v**2 + 6*v - 8. Let r(f) = 6*f**3 - 3*f**2 + 5*f - 8. What is -5*c(n) + 6*r(n)?
n**3 + 2*n**2 - 8
Let w(o) = 7*o**2 + 135*o - 12. Let s(m) = 3*m**2 + 67*m - 4. Calculate 5*s(d) - 2*w(d).
d**2 + 65*d + 4
Let l(u) = -9*u**2 - 2*u - 2 + 7 + 8*u + 0*u + 1. Let v(r) = -9*r**2 + 5*r + 5. Give -5*l(w) + 6*v(w).
-9*w**2
Let i(d) = d**3 + 2*d**2 - 4*d - 3. Let b(v) = -v**2. Let s(a) = 6*b(a) + i(a). Let g = -2 - 2. Let n(c) = c**3 - 5*c**2 - 5*c - 4. Determine g*s(l) + 3*n(l).
-l**3 + l**2 + l
Let c(b) = 26*b**3 + b**2 + 5*b - 11. Let k(u) = -5*u**3 - u + 2. Suppose -h + 2*s = 12, 8 = -5*h - 4*s + s. Let n = h + 15. What is n*k(l) + 2*c(l)?
-3*l**3 + 2*l**2 - l
Let d(t) = 395*t**2 + 5*t - 2. Let w(v) = -197*v**2 - 3*v + 1. Give 3*d(u) + 5*w(u).
200*u**2 - 1
Let v(h) = 416*h - 13. Let j(x) = 104*x - 3. Determine 13*j(s) - 3*v(s).
104*s
Let p(v) = 6*v - 172. Let w(q) = 3*q - 86. Calculate -2*p(z) + 5*w(z).
3*z - 86
Let h(d) = -d**3 + 2*d - 30. Let a(r) = -r**3 - r. Determine a(s) + h(s).
-2*s**3 + s - 30
Let z(m) = -7*m + 5. Let d(v) = 4*v - 3. Suppose 0*l - 5 = -l. Suppose -l*n - 15 = -4*w, -n - 4*w - 12 = 3*n. Determine n*z(p) - 5*d(p).
p
Let o(c) = 3*c**2 - 69*c + 30. Let s(a) = 2*a**2 - 34*a + 13. Determine -3*o(u) + 7*s(u).
5*u**2 - 31*u + 1
Let r(q) = -q**2 - q + 1. Let g be (-82)/(-21) + (-2)/(-21). Let z(j) be the first derivative of -j**4/4 + 4*j**3/3 + 2*j**2 - 4*j + 1. Calculate g*r(x) + z(x).
-x**3
Let i(v) = 4*v - 5*v - 5 - 7*v. Suppose -2*f - 8 = 0, 0*r + r = 5*f + 21. Suppose -r = 3*m + 2. Let t(s) = s + 1. Calculate m*i(b) - 5*t(b).
3*b
Let i(j) = 2*j**2 - 4*j + 4. Let n(q) = -6*q**3 + 4*q - 14. Let m(c) = -c**3 + c**2 - c - 1. Let v(p) = -5*m(p) + n(p). What is 9*i(d) + 4*v(d)?
-4*d**3 - 2*d**2
Let u = -388 + 391. Let p(o) be the first derivative of 7*o**4/4 - o**3 - 3*o - 1. Let r(n) = -36*n**3 + 16*n**2 + 16. Give u*r(g) + 16*p(g).
4*g**3
Let j(v) = 2*v**3 + 5*v**2 - 5*v - 1. Let w be 7 + -3*2/3. Let n(m) be the third derivative of m**6/120 + m**5/30 - m**4/12 - 28*m**2 + 1. Give w*n(a) - 2*j(a).
a**3 + 2
Suppose -2*t - 2*t = 12. Let q = -1 - t. Let b(s) = 26*s - 11. Let i(l) = -15*l + 10. Let j(d) = -10*d + 7. Let w(c) = -3*i(c) + 4*j(c). Give q*b(g) - 11*w(g).
-3*g
Let y(p) = 4*p**2 - 3*p - 5. Suppose -35 + 10 = -5*x, 2*b + 3*