 - 2
Let w(c) = -15*c**2 + 10*c - 24. Let r(a) = -14*a**2 + 8*a - 25. Calculate 5*r(z) - 4*w(z).
-10*z**2 - 29
Suppose 0 = -2*o + 6, -3*o + 0*o + 10 = -p. Let h(n) = -4 + 4 + 6*n. Let u(v) = -38 - 39 - 5*v + 77 + 4*v. Determine p*h(d) - 5*u(d).
-d
Let v(k) = -2 + 4*k + 1 + 7 - 4*k + k. Let s(d) = 1. What is 6*s(g) - v(g)?
-g
Let j(o) = -6*o**2 + 4*o + 383. Let q(i) = 5*i**2 - 3*i - 384. What is -4*j(u) - 5*q(u)?
-u**2 - u + 388
Let w(t) = -5*t - 3. Let x(d) = 4*d + 4. Let v(u) = -3*w(u) - 4*x(u). Suppose 4*k + 5*s - 39 = 0, -4*k + k + 2*s = -12. Let c(z) = -1. Determine k*c(j) - v(j).
j + 1
Let l(f) = 4*f**3 - 5*f**2 + f + 3. Let s(d) be the third derivative of d**6/15 - 3*d**5/20 + d**4/12 + 5*d**3/6 - 66*d**2 - 2*d. Give 5*l(j) - 3*s(j).
-4*j**3 + 2*j**2 - j
Let a(f) be the first derivative of 5*f**2/2 - 7*f + 30. Let z(t) = 11*t - 15. What is -7*a(j) + 3*z(j)?
-2*j + 4
Let f(o) = 6*o - 11. Let c(x) = 3*x - 5. Let t(q) = -7*c(q) + 3*f(q). Let b(w) = -w**2 - 2*w + 2. What is -3*b(r) + 2*t(r)?
3*r**2 - 2
Let n(m) = -11*m + 24. Let a(f) = 5*f - 10. Calculate -9*a(d) - 4*n(d).
-d - 6
Let j(v) = 2*v - 6*v - 3 - 3 - 6. Let g be j(-8). Let b = g + -9. Let x(d) = -3*d**2 - 4*d + 3. Let l(w) = -8*w**2 - 11*w + 8. Give b*x(f) - 4*l(f).
-f**2 + 1
Suppose 2*i - 17 = -2*i + 3*p, 0 = -i + p + 5. Let r be 20/(-25)*10/(-4). Let w(g) = -44 - g**r + 44. Let v(z) = -2*z**2. What is i*v(d) - 3*w(d)?
-d**2
Let g(b) = -53*b + 4. Let l(w) = -107*w + 7. Give -5*g(f) + 3*l(f).
-56*f + 1
Let o(g) = 1. Let t(f) = -2*f - 1 - 4 + 3*f + 7. What is -6*o(p) + 3*t(p)?
3*p
Let m(y) = y**3 - 2*y - 1. Let x(p) = 2*p**2 + 22*p + 1. Let n be x(0). Let i(o) = 0*o**3 + o**3 + o - 1 + 2. Give n*m(l) + 2*i(l).
3*l**3 + 1
Let x(l) = 32*l**3 + 2*l**2 + 2*l. Let s(h) = -95*h**3 - 7*h**2 - 7*h. Determine -2*s(d) - 7*x(d).
-34*d**3
Let n(b) = b + 3. Let t(k) = 2*k + 3. Let l(y) = -3*n(y) + 4*t(y). Let q(d) = -d. Suppose 5*u = -3 - 2. Give u*l(w) - 4*q(w).
-w - 3
Let w(p) = p**3 - p + 2. Let d(z) = -1 + 1 - 12 + 8 + 3. Let g(o) = o**2 + 3*o - 2. Let t be g(-3). What is t*d(x) - 2*w(x)?
-2*x**3 + 2*x - 2
Let a(b) = b**3 - 5*b**2 + 57*b + 8. Let o(l) = l**3 - 6*l**2 + 56*l + 9. Give -6*a(d) + 5*o(d).
-d**3 - 62*d - 3
Suppose -3*d - 3*v - 9 = 0, 2*d + 4*v - 14 = 6*v. Let l(m) = 14*m**2 - 30*m**d + 4 + 15*m**2. Let j(p) = -1. Give 3*j(u) + l(u).
-u**2 + 1
Let f(s) = 2*s - 2. Suppose 4*t - 4 = -4*c, 3*c - 7 = -2*c - 4*t. Let h(z) be the second derivative of 1/3*z**3 + 0 - z - 3/2*z**2. What is c*f(i) - 2*h(i)?
2*i
Let s(q) = -q**2 - 11 + 2 - 2*q**2 + 5*q. Suppose 2*g = 5*f - 18, -18*f + 23*f + 5*g - 25 = 0. Let z(o) = -o**2 + 2*o - 3. Calculate f*s(r) - 11*z(r).
-r**2 - 2*r - 3
Let c(v) be the first derivative of -8 + 0*v - 3/2*v**2. Let f(n) = n - 1. Determine -c(h) - 2*f(h).
h + 2
Let q(u) = -18*u**2 - u - 1. Let z(r) = -17*r**2 - 1. Give 2*q(x) - 3*z(x).
15*x**2 - 2*x + 1
Let g(p) = 87*p - 172*p - 5 + 75*p. Let c(k) = -5*k - 2. Determine -15*c(u) + 6*g(u).
15*u
Let m(x) = 2*x - 29. Let a(y) = 5*y - 89. Determine 2*a(f) - 7*m(f).
-4*f + 25
Let k(l) = -l**2 + 40*l + 64. Let r(p) = -p + 7. Determine -2*k(b) + 18*r(b).
2*b**2 - 98*b - 2
Let o(d) = -6*d**3 + d - 2. Let y(v) = 75*v**3 - 12*v + 27. Let q(k) = 25*k**3 - 4*k + 9. Let s(z) = 11*q(z) - 4*y(z). Determine 9*o(u) - 2*s(u).
-4*u**3 + u
Let v(i) be the second derivative of -i**4/6 - 456*i. Let z(n) = 10*n**2. Suppose 3*r + 8 = r. Determine r*z(h) - 22*v(h).
4*h**2
Let t(m) = -17*m + 27. Let q(g) = 8*g - 13. Let h(y) = 13*q(y) + 6*t(y). Let k(b) = b**2 - 2*b + 6. Give -5*h(p) - 6*k(p).
-6*p**2 + 2*p - 1
Let y(o) be the third derivative of o**4/24 + 4*o**3/3 - 5*o**2. Let n = 9 - 15. Let b(v) = -1. Determine n*b(s) - y(s).
-s - 2
Suppose -43*n + 217 = 45. Let v(l) = 2*l + 2. Let m(q) = -4*q - 5. Calculate n*m(w) + 9*v(w).
2*w - 2
Let v be 27 - 6/9*-6. Let u(m) = -3 + v - 12 - 4*m - 11. Let t(f) = -4*f + 4. Determine -5*t(c) + 4*u(c).
4*c
Suppose -55 = 7*s - 13. Let k(t) = 4*t**2 - 9*t. Let w(r) = r**2 - 16*r. Let o(a) = -5*a. Let l(u) = -8*o(u) + 3*w(u). Give s*l(m) + 5*k(m).
2*m**2 + 3*m
Let g(i) = 9*i - 2. Let u(q) = -30*q**2 + 600*q + 3. Let o be u(20). Let r(d) be the third derivative of -5*d**4/24 + d**3/6 + d**2. Determine o*g(l) + 5*r(l).
2*l - 1
Let v(a) = -14*a**3 - 12*a**2 + 24*a - 14. Let i(p) = 2*p**3 + 2*p**2 - p + 1. What is 6*i(g) + v(g)?
-2*g**3 + 18*g - 8
Let k(n) = 3*n + 97. Let p(s) = 4*s + 97. Give -6*k(q) + 4*p(q).
-2*q - 194
Let s(j) = 17442*j + 171. Let x(v) = 513*v + 5. Give 5*s(a) - 171*x(a).
-513*a
Let i(j) = 4*j**3 + 5*j**2 + 7*j - 5. Let n(q) = 3*q**3 + 4*q**2 + 6*q - 4. Let h be (50/20)/((-1)/(-2)). What is h*n(d) - 4*i(d)?
-d**3 + 2*d
Let s(q) = -10*q - 18. Let f(y) = 9*y + 17. Let g(z) = -4*f(z) - 3*s(z). Let u(v) = -v**2 - 10*v - 5. Let k be u(-8). Let n(r) = -2*r - 5. Give k*n(d) - 4*g(d).
2*d + 1
Let q(i) = 9*i - 1. Let f(o) = 5*o - 1. Let w(p) = 7*f(p) - 4*q(p). Let x = 33 + -51. Let v(k) = 5*k + 13. Calculate x*w(l) - 4*v(l).
-2*l + 2
Suppose 4*a + 10 = -14. Let y(x) = x**2 - 2*x. Let b(j) = -2*j**2 - 4*j + 13. Let r(w) = -b(w) + 2*y(w). Let z(m) = -2*m**2 + 6. Give a*r(v) - 13*z(v).
2*v**2
Let j(o) = -o**3 + o - 1. Let n(b) = 5*b**3 - 111*b**2 - b + 1. Calculate j(q) + n(q).
4*q**3 - 111*q**2
Let b(i) = -9*i + 7. Let m(u) = -289 - 5*u + 135 + 157. Determine -3*b(z) + 5*m(z).
2*z - 6
Suppose 2*a - 4*x + 26 = 0, 0 = 3*a + a + 5*x. Let k(y) = -11*y + 2. Let t(j) = -6*j + 2. Let o(p) = 4*k(p) - 7*t(p). Let w(z) = 2*z + 7. Give a*w(u) - 6*o(u).
2*u + 1
Let i(t) = t**3 - t**2 + t - 2. Let z(w) = -21*w**3 + 6. What is -2*i(p) - z(p)?
19*p**3 + 2*p**2 - 2*p - 2
Let y(h) = 3*h**3 + 14*h**2 + 1. Let d(w) = -10*w**3 - 43*w**2 - 2. Calculate -2*d(m) - 7*y(m).
-m**3 - 12*m**2 - 3
Suppose -4*w = -2*w - 32. Let l(r) = 4*r + w - 20 - 3*r. Suppose 0 = -3*p + 4*p - 1. Let b(c) = -1. Give p*l(h) - 4*b(h).
h
Let h(t) be the first derivative of t**3 + t**2/2 + 5*t - 163. Let g(x) = x**3 - x**2 - 1. Calculate -5*g(y) - h(y).
-5*y**3 + 2*y**2 - y
Let p be -2 + (-2 + (-11)/(-3))*3. Let h(y) = y**2 - 2*y + 2. Let l be h(p). Let o(q) = -2*q**3 + 10*q. Let b(k) = 2*k**3 - 9*k. Calculate l*o(c) + 6*b(c).
2*c**3 - 4*c
Let f(d) = 22*d - 10. Let h = 117 - 112. Let k(c) = 15*c - 7. Calculate h*f(v) - 7*k(v).
5*v - 1
Let g(b) = -b + 10. Suppose -25 = -6*a + a, 3*n = -3*a + 9. Let q(h) = -5. What is n*g(k) - 5*q(k)?
2*k + 5
Let l be (8/(-6))/((-4)/6). Suppose -4*t = s - 23, s - 4*t = -3*s + 32. Let h(k) = 10*k. Let i(p) = -2*p. Give l*h(x) + s*i(x).
-2*x
Let q(b) = 174*b - 42. Let c(a) = a**2 - 4*a + 1. Calculate -42*c(l) - q(l).
-42*l**2 - 6*l
Let o(x) = -x - 2. Let l(d) = -d - 3. Let q(r) = r**3 + 12*r**2 + 7*r - 7. Let k be q(-11). Suppose 12 = -5*f + k. Suppose f - 8 = c. Give c*o(y) + 2*l(y).
y
Let i(d) = 2*d**2 + 6*d. Let a = 13 + -7. Let c(z) = -6*z**2 + 22*z - 35*z + 2*z**2. Determine a*c(w) + 13*i(w).
2*w**2
Let t be (-34)/4 + 12/8. Let s(h) = -4*h**3 - 13*h**2 + 1. Let m(f) = -f**3 - 4*f**2. Calculate t*m(z) + 2*s(z).
-z**3 + 2*z**2 + 2
Let x(c) = -1. Let y(t) = -2*t**2 + t + 3. Let o = -49 - -46. Give o*x(q) - y(q).
2*q**2 - q
Suppose 47 - 49 = 3*d + 2*i, -28 = -4*d + 5*i. Let z(y) = -y**2 + y - 1. Let o(r) = -7*r**3 + 2*r**2 - 2*r + 2. Calculate d*z(g) + o(g).
-7*g**3
Let g(l) = -2*l + 1. Let z(r) = -34*r + 2. Determine 3*g(v) - z(v).
28*v + 1
Let z(s) = s. Let q(n) be the first derivative of 5*n**4/24 + n**3/2 + 15*n**2 + 28. Let c(h) be the second derivative of q(h). What is -c(m) + 6*z(m)?
m - 3
Let j(w) = -w + 1. Let l(y) = -y**3 - 4*y + 7. Let t = -93 - -94. Determine t*l(s) - 5*j(s).
-s**3 + s + 2
Let q(u) = 10*u + 195. Let i(m) = 2*m + 2. Calculate -4*i(t) + q(t).
2*t + 187
Let m(s) = -s**3 + 23*s**2 - 24*s + 43. Let j be m(22). Let z(n) = n**3 + n + 1. Let a(u) = 3*u**3 + 5*u**2 + 2*u + 2. Determine j*a(p) + 2*z(p).
-p**3 - 5*p**2
Let w(v) be the second derivative of v**5/4 + 7*v**4/12 - v**3/6 - v - 142. Let p(x) = -x**3 - x**2. Calculate -6*p(c) - w(c).
c**3 - c**2 + c
Let k(l) = -26*l + 569. Let f be k(22). Let m(t) = -t**2 - t + 2. Let d(i) = -2*i**2 + 3 + 2*i**2 - 2*i**2. Determine f*m(j) + 2*d(j).
-j**2 + 3*j
Let p(a) = -135*a + 117. Let y(f) = -f + 1. Determine -6*p(o) + 702*y(o).
108*o
Let u(k) = 8*k + 31.