f**2 + 2*f - 1
Let j(n) = 6*n**2 + n - 4. Suppose -3*p + 4*p = -4*q + 3, -2*q + 3*p + 19 = 0. Let a(t) = -2*t**2 + 5*t**q + t**2 + t - 5 + 3*t**2. Calculate 4*a(u) - 5*j(u).
-2*u**2 - u
Let q(p) = -1. Let a(j) be the second derivative of j**5/20 - j**2 - 4*j + 3. Give -2*a(y) + 4*q(y).
-2*y**3
Let u(w) = w - 1. Let k(q) = -9*q**2 + 2*q - 4. What is -k(z) + 2*u(z)?
9*z**2 + 2
Let d(h) = 4*h + 5. Let c(x) = 6*x + 8. Suppose -8 + 0 = -r. Suppose 2*z + 0*z = -5*j + 23, 0 = -3*z + 12. Suppose -25 = 2*l + j*l. What is l*c(f) + r*d(f)?
2*f
Let c(j) = 14. Let f(o) = -5. Let l(m) = c(m) + 3*f(m). Let n(d) = 8*d - 11. Let z(s) = -3*s + 4. Let q(h) = 4*n(h) + 11*z(h). Determine l(k) - 2*q(k).
2*k - 1
Let u(z) = -17*z + 17*z - 4 + 5*z. Let o(w) = -w + 1. Calculate 6*o(n) + u(n).
-n + 2
Let o(h) = -h**2 + 5*h - 9. Let l(q) = -10*q**2 - 4*q - 13. Let f(p) = 28*p**2 + 9*p + 39. Let t(m) = -4*f(m) - 11*l(m). Give -8*o(i) + 5*t(i).
-2*i**2 + 7
Let g(x) = -1 - 60*x**2 + 59*x**2 + 7*x - 8*x. Let u(i) = -3*i**3 + 4*i**2 + 4*i + 3. Determine 4*g(s) + u(s).
-3*s**3 - 1
Let c(l) = -3*l**3 - l + 4. Let r be 56/168 - (13/3 + 0). Let i(u) = -2*u**3 - u + 3. Calculate r*c(y) + 5*i(y).
2*y**3 - y - 1
Suppose 8 = -b + 5*w, 0 = -3*b - 4*w - 5 - 0. Let f(l) = 4*l**3 - 3*l**2 + 3. Let z(c) = -20*c**3 + 16*c**2 - 16. Calculate b*z(a) - 16*f(a).
-4*a**3
Suppose 106 = -9*d + 88. Let w(n) = -n. Let p(y) = -4*y - 3. Calculate d*w(x) + p(x).
-2*x - 3
Let g(h) = -8*h + 25*h + 6 - 7*h - 2*h**2 - 8*h. Let f(s) = s + 1. What is 2*f(n) - g(n)?
2*n**2 - 4
Let s(r) = -3*r**2 - 2*r + 2. Let h(y) be the first derivative of -5*y**3/3 - 5*y**2/2 + 4*y - 75. Give 2*h(k) - 5*s(k).
5*k**2 - 2
Let z(s) = -3*s + 1. Let f(d) = -28*d - 13. What is f(a) + 4*z(a)?
-40*a - 9
Let y(v) = 2*v**2 + 2*v - 1. Suppose 31 = -3*l - 35. Let c = l + 8. Let r = 15 + c. Let q(m) = -1. Give r*y(k) - 2*q(k).
2*k**2 + 2*k + 1
Let k(r) = -3*r + 49. Let q(x) = -3*x + 58. Give 3*k(g) - 4*q(g).
3*g - 85
Let f(s) = 7*s - s**2 - 17*s + 6*s - 3*s + 1 + 8*s. Let o(h) = 9*h**2 - 4*h - 5. Calculate -4*f(x) - o(x).
-5*x**2 + 1
Let j(b) = 12*b + 5. Let u(i) = -i. Let y(c) = -j(c) - 5*u(c). Let d(s) = 3 - 2 - 4*s + 2 - 6. Give 5*d(w) - 3*y(w).
w
Let z(r) = 4*r**2. Let s(d) = -3*d**2 - 1. Give -3*s(p) - 2*z(p).
p**2 + 3
Let j(k) = -7*k**2 + k - 1. Let b(d) = -20*d**2 + 3*d - 3. Give 4*b(f) - 11*j(f).
-3*f**2 + f - 1
Let q(m) = -197*m**3 - 8*m**2 - 4. Let y(f) = 16549*f**3 + 670*f**2 + 335. Determine 335*q(g) + 4*y(g).
201*g**3
Let t(p) = -4*p**3 - 12*p**2 - 2*p + 4. Let h(w) = -5*w**3 - 11*w**2 - 2*w + 3. Calculate -4*h(n) + 3*t(n).
8*n**3 + 8*n**2 + 2*n
Let l(g) = 4*g**2 + 12. Let q(f) = -38*f**2 - 13*f - 75. Let k(c) = 6*c**2 + 2*c + 12. Let h(u) = 39*k(u) + 6*q(u). What is 5*h(v) - 7*l(v)?
2*v**2 + 6
Let x(k) = 38*k**2 + 1. Let r(c) = 38*c**2 + 1. Give 5*r(s) - 6*x(s).
-38*s**2 - 1
Let b(f) = -3*f**3 + 2*f**2 - 56*f + 1. Let p(u) = -10*u**3 + 7*u**2 - 171*u + 4. Determine -7*b(c) + 2*p(c).
c**3 + 50*c + 1
Suppose 0*k = -k - 1. Let u(c) = 18*c + 3. Let g(n) = 53*n + 8. Let a(l) = -3*g(l) + 8*u(l). Let d(h) = 4*h - h - 4*h. What is k*a(q) + 12*d(q)?
3*q
Let s(m) = 9*m**3 + 8. Let h be (-3)/3*3 + 8. Let q(x) = 1 + 3 + 1 - 2*x**3 + 8*x**3. Give h*s(f) - 8*q(f).
-3*f**3
Let l(k) = k**3 + 5*k**2 + 3*k + 3. Let w(r) = r**3 + r**2 + r + 1. What is -2*l(q) + 6*w(q)?
4*q**3 - 4*q**2
Let k(c) = -5*c + 16. Let a = -45 + 49. Suppose 0 = -5*m - a*j + 39, 22 = 3*m - j - 15. Let z(s) = -1 - 3 + s + 1. Determine m*z(b) + 2*k(b).
b - 1
Let i(g) = 4*g**2 - g - 1. Let r(y) = 17*y**3 + 39*y**2 - 6*y - 6. Give 6*i(z) - r(z).
-17*z**3 - 15*z**2
Let p(s) be the second derivative of -7*s**3/3 + s**2/2 - 52*s - 2. Let x(h) be the third derivative of -5*h**4/24 + 15*h**2. What is 4*p(l) - 11*x(l)?
-l + 4
Let x(d) = -7*d - 5. Let p(g) = -g + 4. Determine 3*p(m) + 3*x(m).
-24*m - 3
Let c(t) = 236*t + 2. Let k(m) = 237*m + 2. Determine 5*c(d) - 4*k(d).
232*d + 2
Let o(y) = y + 5. Let w = 2036 - 2027. Let h(v) = v**2 + 5*v + 21. What is w*o(n) - 2*h(n)?
-2*n**2 - n + 3
Let v(n) = -n + 206. Let x(p) = 2*p - 404. Give 5*v(w) + 3*x(w).
w - 182
Let s(z) = -7*z**3 - 6*z**2 + 6*z + 6. Let k(o) = -7*o**3 - 5*o**2 + 5*o + 5. Let c = -352 - -358. Give c*k(p) - 5*s(p).
-7*p**3
Let r(q) = -q + 3. Suppose 4*w + 3*p = -0*p - 8, -6 = 3*w - 2*p. Let u(g) = -g + 3. What is w*r(v) + 3*u(v)?
-v + 3
Let h(f) = -2*f. Let w(i) = -4*i + 19. Give 5*h(c) - w(c).
-6*c - 19
Let o(j) be the second derivative of -j**3 - j**2/2 + 9*j. Let x(s) = 50*s + 17. Let h(a) = -17*a - 6. Let k(d) = -11*h(d) - 4*x(d). What is 3*k(b) - 7*o(b)?
3*b + 1
Let v(b) = -17*b + 2. Let z be 6/(-21) - -2*37/14. Let k(o) = 1. Let x = 3 + -2. Let l(a) = 8*a - 6. Let m(s) = x*l(s) + z*k(s). What is 13*m(d) + 6*v(d)?
2*d - 1
Let k(c) = 3*c**2 - c + 3. Let r(n) = n**3 + 10*n**2 - 3*n + 8. Let w be (2/4*10)/(45/27). What is w*r(g) - 8*k(g)?
3*g**3 + 6*g**2 - g
Let x(t) = -51*t + 21. Let b(o) = -101*o + 45. Calculate -6*b(w) + 13*x(w).
-57*w + 3
Let a(b) = -16*b**2 + 5*b - 1910. Let y(x) = 9*x**2 - 3*x + 954. Give -5*a(g) - 9*y(g).
-g**2 + 2*g + 964
Let z(h) = 7*h**3 - h**2 - 7*h + h + 0*h**3 - 6. Let d(m) = 14402 - 14389 - 13*m**3 - 2*m**3 + 13*m + 2*m**2. What is -6*d(a) - 13*z(a)?
-a**3 + a**2
Let m(d) = -54*d**2 + 3*d + 2. Let j(v) = 2*v**2 + v. What is 3*j(h) - m(h)?
60*h**2 - 2
Let a(b) = -21*b**2 - 10*b - 400. Let m(h) = -12*h**2 - 6*h - 200. Give -3*a(s) + 5*m(s).
3*s**2 + 200
Let b(t) = 2*t**3 - 5*t**2 - 5*t - 3. Let m(x) = x + 1. What is -b(h) - 3*m(h)?
-2*h**3 + 5*h**2 + 2*h
Let f(j) = -5*j**3. Let o = -249 - -172. Let z = o - -42. Let d(a) = a**3. What is z*d(b) - 6*f(b)?
-5*b**3
Let t(r) = -2*r. Let q(d) = 3*d + 2. Determine 2*q(h) - 6*t(h).
18*h + 4
Let f(s) be the third derivative of -s**6/24 + s**5/20 + s**4/8 + s**3/2 + 140*s**2. Let u(w) = 10*w**3 - 5*w**2 - 5*w - 5. What is -5*f(g) - 3*u(g)?
-5*g**3
Let c(a) = -a**2 - a. Let l(w) = -25*w**2 - w + 2. Give -3*c(s) + l(s).
-22*s**2 + 2*s + 2
Let n(j) = 4*j**3 + 8*j**2 + 177*j. Let y(b) = 2*b**3 + 5*b**2 + 88*b. Give -3*n(h) + 5*y(h).
-2*h**3 + h**2 - 91*h
Let o(g) = -15*g**2 + 2. Let l(v) = -v**2 + v - 1. Let j(p) = -2*l(p) + o(p). Let a(r) = -7*r**2 - r + 2. Determine -11*a(d) + 6*j(d).
-d**2 - d + 2
Let n be 11/3 + 4/(-6). Let o = 8 - n. Let p(t) = -t**3 + 3*t**2 + 5*t - 4. Let m(q) = 0*q**3 - 55 + 2*q**2 + 52 - q**3 + 4*q. What is o*m(l) - 4*p(l)?
-l**3 - 2*l**2 + 1
Let l(d) = -2*d + 13. Let m(f) = -28*f - 1. Let h(k) = -13*k. Let w be (-3)/9*(-2 + -16). Let q(r) = w*m(r) - 13*h(r). Determine 4*l(u) + 9*q(u).
u - 2
Let w(f) = -4*f**2 + 29*f - 10. Let u(c) = 3*c**2 - 30*c + 7. Determine -3*u(b) - 2*w(b).
-b**2 + 32*b - 1
Let c(t) = 1. Let g(r) = -2*r + 7. Suppose -2*z = -2, 5*s - 3 = -8*z + 10*z. Determine s*g(b) - 4*c(b).
-2*b + 3
Let h(n) be the second derivative of -5*n**3/6 + 7*n**2/2 - 92*n. Let d(o) = o - 1. Determine -3*d(g) - h(g).
2*g - 4
Suppose 19 = 3*l + 4. Let o(t) = -10*t + 4. Let v(w) = -8*w + 1. Let f(g) = 2*o(g) - 3*v(g). Let s(z) = 5*z + 6. Calculate l*s(r) - 6*f(r).
r
Let k(y) = -4*y**3 - 7*y**2 - 235*y + 17. Let g(n) = n**3 + 2*n**2 + 78*n - 5. Calculate -7*g(j) - 2*k(j).
j**3 - 76*j + 1
Let c(q) = 3*q - 7. Let r(u) = 4*u - 7. Determine 6*c(m) - 5*r(m).
-2*m - 7
Let u(t) = -36*t**2 + 3*t**3 + 26*t**2 + 17*t**2. Let k be (-4 - (-52)/14) + 51/7. Let o(i) = 2*i**3 + 5*i**2. Give k*o(j) - 5*u(j).
-j**3
Let x(a) = -7*a - 7. Let r = 495 - 500. Let u(b) = -6*b - 6. What is r*x(m) + 6*u(m)?
-m - 1
Let a(j) = 306*j + 308*j - 928*j - 6 + 312*j - 23*j**2. Let x(v) = 8*v**2 + v + 2. What is -6*a(s) - 17*x(s)?
2*s**2 - 5*s + 2
Let s(w) be the second derivative of -23*w**3/6 - 10*w**2 + w. Let f(p) = 8*p + 7. Let u = -16 + 30. Let m(c) = c + 3. Let t be m(u). Calculate t*f(y) + 6*s(y).
-2*y - 1
Let u(b) = -b. Let d(w) = 4*w + 1. Let j be 0 + (1 - -2) + (-72)/(-1). Let a = -74 + j. Give a*d(o) + 6*u(o).
-2*o + 1
Let q(s) = 6*s**3 - 13*s - 3. Let d(a) = -5*a**3 + 13*a + 2. Give -3*d(h) - 2*q(h).
3*h**3 - 13*h
Let j(s) = -30*s**3 - 7*s**2 + 5*s. Let t(r) = -29*r**3 - 6*r**2 + 4*r. Give -5*j(o) + 6*t(o).
-24*o**3 - o**2 - o
Let a(q) be the third derivative of 5*q**4/24 - 5*q**3/3 + 81*q**2. Let k(w) = -4*w + 10. Give -5*a(j) - 6*k(j).
-j - 