16*w - 16. Let m(c) = -4*c**2 + 3*c - 3. Let j = -318 + 315. What is j*n(f) + 16*m(f)?
-4*f**2
Let u(y) be the second derivative of -7*y**3/6 + 5*y**2/2 + 12*y. Let g(q) = -8*q + 6. Calculate -5*g(x) + 6*u(x).
-2*x
Let x(m) = 2*m**2 - 15*m + 6. Let o be x(7). Let f(j) = -1. Let u(b) be the second derivative of 3*b**5/20 - b**2/2 - 9*b. What is o*f(t) + u(t)?
3*t**3
Let p(a) = 2*a**2 - 38*a - 5. Let i(k) = -7*k - 2. Let r be i(-3). Let m be p(r). Let j(b) = -7*b**2 + b - 3. Let n(s) = -3*s**2 - 1. Determine m*n(g) + 2*j(g).
g**2 + 2*g - 1
Let j(w) be the first derivative of -w**6/360 + 3*w**4/8 - 4*w**3/3 - 20. Let z(v) be the third derivative of j(v). Let y(t) = -5. Give 5*y(g) + 3*z(g).
-3*g**2 + 2
Let w(n) be the third derivative of n**5/30 - 3*n**4/8 - 3*n**3/2 + 15*n**2 + 6. Let r(l) = l**2 - 4*l - 4. Determine 9*r(b) - 4*w(b).
b**2
Let b(h) = h**2 - 7*h - 306. Let v(s) = -s**2 + 6*s + 305. Determine 6*b(w) + 7*v(w).
-w**2 + 299
Let n(z) = 212*z**2 - 9*z + 7. Let k(h) = 106*h**2 - 5*h + 4. Give 7*k(m) - 4*n(m).
-106*m**2 + m
Let i(r) = 28*r - 17. Let y(u) = 61*u - 34. Let m(l) = 13*i(l) - 6*y(l). Let h(f) = -f - 9. Calculate -7*h(g) + 4*m(g).
-g - 5
Let n(o) be the second derivative of o**2/2 - 1043*o. Let b(u) = 4*u - 1. Let k be 9/(-7) + 4/14. Calculate k*b(a) - 2*n(a).
-4*a - 1
Let f(d) = -5*d**2 + 2. Suppose 0 = -2*g - 3*y + 1, -35*g + 3*y + 19 = -33*g. Let c(k) = -4*k**2 + 2. What is g*f(t) - 6*c(t)?
-t**2 - 2
Let d(r) be the second derivative of 3*r**5/5 - 5*r**3/3 + 5*r**2 + 213*r. Let f be (-4)/(-20) + 28/10. Let g(m) = m**3 - m + 1. Determine f*d(i) - 30*g(i).
6*i**3
Let h(w) = 89*w**3 + 4*w**2 + 6*w + 3. Let b(m) = -87*m**3 - 5*m**2 - 8*m - 4. What is 3*b(u) + 4*h(u)?
95*u**3 + u**2
Let s(j) = -9*j**3 + 5*j**2 - 13*j - 8. Let o(i) = -i**3 + i**2 - 2*i - 1. Determine -5*o(f) + s(f).
-4*f**3 - 3*f - 3
Let v(w) = 3*w**3 + 2*w**2 + 7*w + 3. Suppose -2 = -6*c + 40. Let h(b) = b**3 + b**2 + 3*b + 1. Determine c*h(m) - 3*v(m).
-2*m**3 + m**2 - 2
Let v(t) = 2*t**2 - 3*t - 3. Let n(l) = l - 1. Let j(i) = -i + 3. Let k(x) = -j(x) - 2*n(x). Let r = 7 + -11. Let d = -43632 + 43633. Determine d*v(y) + r*k(y).
2*y**2 + y + 1
Let i(n) = -n**2. Let o = 121 - 68. Let r(j) = -53*j + o*j + 9*j**2. Calculate -5*i(u) - r(u).
-4*u**2
Let c(w) = w + 6. Let x(i) = -3*i - 17. Let j = -67 + 73. Suppose -3*d - 2*m + j*m - 4 = 0, 4*m = -d - 12. Give d*x(o) - 11*c(o).
o + 2
Let k be ((-400)/(-20) - 17) + (3 - 1). Let m(w) = 10*w**3 + 3*w**2 + 5*w + 5. Let n(h) = 10*h**3 + 4*h**2 + 6*h + 6. Give k*n(y) - 6*m(y).
-10*y**3 + 2*y**2
Let m = -8 + 14. Let s(c) = -11*c - 2*c - 5 + 5*c + 2*c**3 + 6*c**3. Let b(a) = 7*a**3 - 7*a - 4. Calculate m*b(v) - 5*s(v).
2*v**3 - 2*v + 1
Let g(j) = 2*j. Let n(a) = a. Let s = -1 - 9. Let z = s - -7. Let k(x) = z*g(x) + 5*n(x). Let b(u) = -2*u + 1. Give 2*b(c) - 5*k(c).
c + 2
Let i = -10 - -6. Let u = i - -6. Let m(d) = -6*d + 2*d + d + u*d. Let w(o) = -4*o + 2. What is -6*m(b) + w(b)?
2*b + 2
Let k = 29 + -24. Let z(f) = -2*f + k*f - 4*f. Let b(m) = -6*m - 1. What is -b(d) + 4*z(d)?
2*d + 1
Let z(i) = -124*i + 6. Let k(x) = -3223*x + 154. What is 3*k(a) - 77*z(a)?
-121*a
Let r(t) = -t - 1. Let p(m) = 9*m - 12. Determine -p(h) + 12*r(h).
-21*h
Let c(j) = 39*j**2 - 2*j. Let f(m) = 118*m**2 - 6*m. Calculate -11*c(v) + 4*f(v).
43*v**2 - 2*v
Let x(i) = i**3 - i**2 - i + 1. Suppose -14 - 2 = -p - 3*n, 4*p = n + 38. Let g(d) = 6*d**3 - 10*d**2 - 12*d + 10. What is p*x(f) - g(f)?
4*f**3 + 2*f
Let f(o) = -1 - 9*o + 8*o + 1. Let h be f(-6). Let y(l) = 2*l**2 - 2*l + 4. Let u(w) = -2*w**2 + 2*w - 5. Give h*y(r) + 5*u(r).
2*r**2 - 2*r - 1
Let z be 1*(-10)/(-6)*3. Let j = 3 - z. Let n(p) be the first derivative of 5*p - 687. Let a(u) = u + 4. Give j*n(d) + 3*a(d).
3*d + 2
Suppose -5*u - 35 = 5*p, 3*u + 2*p - 30 = -47. Let i(s) = -4. Let w(h) = -3. Let q(l) = -2*i(l) + 3*w(l). Let r(g) = g**2 + 2. Determine u*q(m) - 2*r(m).
-2*m**2 - 1
Let s(r) = -14*r + 5. Let t(m) = 14*m - 6. Let h(p) = -p**3 + 17*p**2 + 8*p - 131. Let n be h(17). What is n*s(a) + 4*t(a)?
-14*a + 1
Let u(k) = 4*k - 7. Let n(r) be the third derivative of -r**4/12 + r**3/2 + 123*r**2. What is -14*n(s) - 6*u(s)?
4*s
Let c(d) = -5*d**3 - 3*d**2 - 3*d. Let q(r) = -4*r**3 - 4*r. Let y(n) = -n**3 + n**2 - n. Let v(u) = 2*q(u) - 4*y(u). Determine -4*c(g) + 3*v(g).
8*g**3
Let z be 2/(-4)*1*-8. Let w(a) = a + 3. Let l(j) = j + 3. Let k(m) = -m**2 - 77*m - 1275. Let p be k(-53). Determine p*w(u) + z*l(u).
u + 3
Let h(z) = -10*z**2 - 2*z - 2. Let r(y) = -y**2 - y. Let w(q) = -2*q**3 + 11*q**2 + 4*q + 14. Let x be w(6). Give x*r(t) - h(t).
8*t**2 + 2
Let u(g) = -4*g**2 + 11*g - 2. Let k(f) = -2*f**2 + 5*f - 1. Let p be (-21)/5*(-285)/171. Calculate p*k(l) - 3*u(l).
-2*l**2 + 2*l - 1
Let v(l) = 179*l**3 + 3*l**2 - 6*l + 7. Let b(h) = 59*h**3 + h**2 - 2*h + 2. What is 7*b(d) - 2*v(d)?
55*d**3 + d**2 - 2*d
Let y(q) = q + 1. Let c(g) = 1. Let k(s) = -42. Let p(t) = 8. Let v(x) = 4*k(x) + 22*p(x). Let h(o) = -6*c(o) + v(o). Give -h(m) + 2*y(m).
2*m
Let j(f) = 6*f**3 - 2*f**2 - 3*f + 11. Let h(b) = -2*b**3 + b**2 + b - 4. Calculate 11*h(r) + 4*j(r).
2*r**3 + 3*r**2 - r
Let a(h) = -27*h - 52. Let w(z) = 44*z + 77. Calculate 8*a(g) + 5*w(g).
4*g - 31
Let j(h) = -85*h**2 - 35*h + 60. Let n(s) = 7*s**2 + 3*s - 5. What is 3*j(t) + 35*n(t)?
-10*t**2 + 5
Let b = -55 - -33. Let f(c) = -c**2 + 2*c + 3. Let v(s) = 9*s - 1. Let x be v(1). Let j(w) = x - 6*w**2 - 4 + 12 + 11*w. Give b*f(g) + 4*j(g).
-2*g**2 - 2
Suppose j + 59 - 58 = 0. Let w(p) = 2*p**2 + p - 3. Let c(g) = -1. Determine j*w(f) + 4*c(f).
-2*f**2 - f - 1
Let h = -88 + 51. Let x be 2/(-7) + h/(-7). Let n(y) = -33*y - 21. Let f(a) = -885*a - 889*a - 889*a + 3560*a + 5 - 889*a. What is x*n(o) + 21*f(o)?
3*o
Let n(b) = -2*b**3 - 17*b**2 + 9*b + 37. Let x(v) = v**3 + 8*v**2 - 4*v - 18. Calculate 6*n(y) + 13*x(y).
y**3 + 2*y**2 + 2*y - 12
Let z(x) = 111*x**2 + 8*x - 6. Let d(a) = -223*a**2 - 18*a + 14. What is -3*d(m) - 7*z(m)?
-108*m**2 - 2*m
Let w be (-3 + 3)/(-2 - -4). Suppose w = 3*g - 2 + 5. Let p(x) = 5*x**2 + 6*x + 6. Let i(j) = -j**2 - j - 1. What is g*p(v) - 6*i(v)?
v**2
Let s(z) = z**3 - 3*z**2 + 1. Let l(g) = -3*g**3 + 18*g**2 + 20*g - 6. Give l(n) + 6*s(n).
3*n**3 + 20*n
Let m be 2/(6*(-4)/48). Let i(g) = 3*g + 1. Let y(x) = 3*x. Determine m*y(d) + 3*i(d).
-3*d + 3
Let i(s) = -6*s - 139. Let q(f) = -5*f - 139. Determine -3*i(z) + 4*q(z).
-2*z - 139
Suppose 10*d = -0*d - 180. Let u(x) = x**3 + 18*x**2 + x + 17. Let q be u(d). Let g(i) = 7*i**2 - 3*i - 3. Let z(n) = -n**2 + n + 1. What is q*g(f) - 3*z(f)?
-4*f**2
Let b(p) = -10*p**2 - p - 5. Let o(t) = -9*t**2 + t - 4. What is -6*b(v) + 7*o(v)?
-3*v**2 + 13*v + 2
Let j(q) = -q. Let a be -5 + (-18)/(0 - 3). Let v(p) = -p - 2. Let t(m) = a*v(m) + 2*j(m). Let f(y) = 9*y + 5. Give 3*f(k) + 8*t(k).
3*k - 1
Let u(i) = -7*i + 7. Let x(r) = 2*r**3 + r**2 + 5*r + 17. Let j be x(-2). Let v(t) = 6*t - 6. Calculate j*u(l) - 6*v(l).
-l + 1
Let g = -15 - -14. Let c be 3 + 0/(g - 2). Let f(o) = -3 - 11*o**2 - 2 + 3*o - c*o. Let l(w) = -27*w**2 - 12. Calculate 12*f(t) - 5*l(t).
3*t**2
Let j(d) = -d**2 + 4*d - 6. Let v(i) = -2*i**2 + 7*i - 11. Let q = -52 + 48. Let l be q/6 + 20/(-6). What is l*v(h) + 7*j(h)?
h**2 + 2
Let s = -8 - -11. Let u(z) = -3*z**3 + 9*z**2 - 3*z. Let j(m) = 3*m**2 + 8*m**3 + m**2 + 544*m - 545*m + 10*m**3 - 19*m**3. What is s*u(b) - 7*j(b)?
-2*b**3 - b**2 - 2*b
Let l(t) = -4*t**2 - 5*t + 11. Let p(g) = -13*g + 1866 - 2*g - 1849 - 6*g**2 + 7*g. Give -8*l(s) + 5*p(s).
2*s**2 - 3
Let g(t) be the second derivative of 0 + 4/3*t**4 + 0*t**2 - 20*t - 2*t**3. Let o(w) = w**2 - w. Give -g(n) + 12*o(n).
-4*n**2
Let d(z) = -207*z**2 + 6*z + 11. Let x(v) = -138*v**2 + 4*v + 7. What is -5*d(i) + 7*x(i)?
69*i**2 - 2*i - 6
Let h(m) = -16*m**3 - 2*m**2 - 4. Let b(v) = -2*v**2 - 567 - 573 + 6*v**2 - 569 + 33*v**3 + 1718. What is 4*b(c) + 9*h(c)?
-12*c**3 - 2*c**2
Let j(y) = 13*y - 9. Let v(p) = 2 + 209*p + 210*p - 422*p. Give -2*j(m) - 9*v(m).
m
Let d(l) = -24*l**2 + 13*l + 16. Let n(q) = -12*q**2 + 6*q + 7. Determine -4*d(w) + 9*n(w).
-12*w**2 + 2*w - 1
Let r(y) = 101*y - 11 - 28*y - 72*y. Let u(v) = -3*v + 32. What is 17*r(n) + 6*u(n)?
-n + 5
Let o(h) = -6*h**2 + h + 6. Let c(y) = -y**3 -