- 2*d**2 - d
Let t(h) be the third derivative of -h**5/12 + h**3/6 + h**2 + 13*h. Let p(z) = -5*z**2 + 1. What is 6*p(j) - 7*t(j)?
5*j**2 - 1
Let i(y) = 15*y**2 + 12*y + 28. Let p(o) = -7*o**2 - 6*o - 14. What is -6*i(w) - 13*p(w)?
w**2 + 6*w + 14
Let x(m) = m - 2. Let i(s) = 2*s - 3. Suppose -k = 3, 21*k - 18*k + 5 = j. Give j*x(t) + 3*i(t).
2*t - 1
Let u(w) = -w**3 + 9*w**2 + 15*w. Let q(h) = h**3 - 13*h**2 - 22*h. Let k(d) = d**3 + 39*d**2 - 222*d - 83. Let l be k(-44). Determine l*q(o) + 7*u(o).
-2*o**3 - 2*o**2 - 5*o
Let f(p) = -4*p + 1. Let w(k) = -k. Let y(x) = f(x) - 5*w(x). Let c(a) be the second derivative of 1/3*a**3 + 1/2*a**2 + 0 - 12*a. Calculate 3*c(z) - 4*y(z).
2*z - 1
Let h(g) = -91*g**3 - 28*g**2 + 56*g - 28. Let a(j) = 10*j**3 + 3*j**2 - 6*j + 3. Determine -28*a(f) - 3*h(f).
-7*f**3
Let p(a) = 19*a**2 + 6*a + 6. Let b(l) be the first derivative of -13*l**3 - 13*l**2/2 - 13*l + 242. Calculate -6*b(g) - 13*p(g).
-13*g**2
Let v(u) = -445*u**3 - 14*u**2 - 7*u - 4. Let i(k) = -148*k**3 - 4*k**2 - 2*k - 1. Calculate -7*i(y) + 2*v(y).
146*y**3 - 1
Let p(l) = 11*l + 1 + 0*l**2 - 9*l + 2*l**2. Let d(k) be the third derivative of k**5/12 + k**4/6 + k**3/3 - 4*k**2 + 2*k. Determine -3*d(i) + 7*p(i).
-i**2 + 2*i + 1
Let q(w) = 3*w - 3. Let m(r) be the second derivative of r**3/6 + r**2/2 - 87*r. Calculate -m(y) - q(y).
-4*y + 2
Let u(w) = -4*w - 2. Let k(m) = 9*m + 4. Suppose 10*a + 24 = -2*a. Determine a*k(f) - 5*u(f).
2*f + 2
Let g(b) = -b**3 + 150*b - 3. Let m(d) = -d**3 + 299*d - 5. Give -5*g(v) + 3*m(v).
2*v**3 + 147*v
Let l(i) be the first derivative of -i**3/3 + i**2/2 + i + 15. Let u(r) be the second derivative of 0 - 1/2*r**2 - 1/6*r**3 - 7*r. Calculate 3*l(k) + 3*u(k).
-3*k**2
Suppose -50 = -14*i + 4*i. Let w(d) = 13*d - 6. Let l(m) = 13*m - 5. Determine i*w(n) - 6*l(n).
-13*n
Let p(t) = 200*t + 9. Let y(x) = 13199*x + 591. Determine 197*p(r) - 3*y(r).
-197*r
Suppose -2*l + 7 = -c, l - 5*l - 3*c = -9. Let g(a) = 2*a + 3. Let n(b) = -2*b - 3. Calculate l*n(i) + 4*g(i).
2*i + 3
Let w(d) = -2*d - 6. Let m = -8 - -13. Let f(s) = -s + 7. Let q be f(6). Let i(k) = 0*k - 4 - 2*k - q. Calculate m*i(u) - 4*w(u).
-2*u - 1
Let g(y) = -2*y**2 + 67*y - 7. Let s(j) = 2*j**2 - 70*j + 8. Calculate -4*g(i) - 3*s(i).
2*i**2 - 58*i + 4
Suppose -3*u - 1 = -3*g - 4, 4*g - 5*u + 7 = 0. Let q(o) = 6 - g - 3. Let z(j) = -j + 6. Determine -6*q(m) + z(m).
-m
Suppose 116 = -42*a - 8*a - 34. Let o(n) = -5*n + 4. Let d(t) = 4*t - 3. Let m(g) = -g**2 + 6*g - 4. Let x be m(6). Calculate a*o(u) + x*d(u).
-u
Let a(m) = -1. Let b(d) = -d**2 + d - 6. Let n(k) = k**2 - 7. Let h be n(3). Suppose x - 12 = -h*x. Let f be 4*(x + (-15)/4). Give f*b(g) - 5*a(g).
-g**2 + g - 1
Let b(a) = -39*a. Let q(g) be the second derivative of g**3/6 + 2*g + 370. Determine -b(c) - 52*q(c).
-13*c
Let h(l) = -17*l**2 - 13*l + 29. Let q(f) = -9*f**2 - 7*f + 15. What is -6*h(p) + 11*q(p)?
3*p**2 + p - 9
Let b(s) = 39*s**3 - 8*s - 9. Let q(u) = -26*u**3 + 5*u + 6. Give 5*b(o) + 8*q(o).
-13*o**3 + 3
Let h(q) = q**3 + 3*q**2. Let w be (-48)/(-27) - 8/(-36). Let b be w/(-19) - 2808/(-684). Let t(k) = 2*k**3 + 4*k**2. Calculate b*h(u) - 3*t(u).
-2*u**3
Let w(s) = -7*s**2 - 4*s + 6. Let b(y) = -y**2 - y + 1. Suppose -3*v + 3*h + 11 = -8*v, 5*h = 3*v + 27. Determine v*b(r) + w(r).
-3*r**2 + 2
Let j(x) = -3*x - 32. Let k(t) = 13*t + 126. What is -9*j(z) - 2*k(z)?
z + 36
Let w be ((-2)/(-4))/((-1)/(-4)). Let d(m) = -m**3 + 3*m**2 - 3. Let a(t) = -2*t**2 + 2. Suppose 5*g - 10 - 5 = 0. Calculate g*a(x) + w*d(x).
-2*x**3
Let g = 10 + -10. Suppose g*u - 34 = -3*u + 5*a, -5*u = 3*a. Let k(v) = 2*v**3 + 5*v**2 - 4*v. Let m(b) = 3*b**3 + 6*b**2 - 5*b. What is u*m(c) - 4*k(c)?
c**3 - 2*c**2 + c
Suppose -4*b - 39 = 49. Let j(l) = 1. Let s(w) = 7*w**2 - 9 - 2*w**2 + 0 - 7*w**2 - 3. Calculate b*j(u) - 2*s(u).
4*u**2 + 2
Let f(x) = 5*x - 6. Let h(q) = 3*q**2 + 29*q + 4. Let n be h(0). Let g(c) = c - 8*c + 17 - 7*c. What is n*g(u) + 11*f(u)?
-u + 2
Let y(w) = 16*w**3. Let i(k) = -3*k**3 + 2 + 3 - 5. Let g(b) = -b**3 - 8*b**2 + 2*b + 5. Let h be g(-8). Let x be (-4)/((-4)/(4/(-2))). What is h*i(v) + x*y(v)?
v**3
Let t(r) = -6*r + 1. Let w = 63 - 53. Let a(z) = -14 - w + 23. Give a(p) + t(p).
-6*p
Let p(n) = 0*n + 7 - n - 4 + 0*n. Let o = -25 - -15. Let h(w) = w + 11. Let f be h(o). Let d(u) = u - 1. Give f*p(v) + 2*d(v).
v + 1
Let k(b) = 2*b**2 - 4*b - 8. Let q be k(4). Let j(n) = -91*n + 187*n + q - 79*n. Let x(m) = 4*m + 2. Calculate 2*j(y) - 9*x(y).
-2*y - 2
Let f(j) = 5*j**2 - 42*j + 5. Let m(z) = -11*z**2 + 83*z - 11. Calculate 13*f(c) + 6*m(c).
-c**2 - 48*c - 1
Let l(u) = 22*u**3 - 5*u**2 + 8*u + 177. Let v(z) = 26*z**3 - 6*z**2 + 9*z + 177. What is 7*l(d) - 6*v(d)?
-2*d**3 + d**2 + 2*d + 177
Let q(n) = 1. Let m = -15 + 16. Let y(o) = -11*o + 7. Let f(t) = -27*t + 18. Let j(s) = 5*f(s) - 12*y(s). What is m*j(g) - 5*q(g)?
-3*g + 1
Let i(s) = s**3 - s**2 + 1. Let f(b) = 5*b**3 - 2*b**2 - 8. What is f(l) - 2*i(l)?
3*l**3 - 10
Let t(b) = 363*b - 77. Let p be 21/(-42) - (-14)/4. Let x(c) = 14*c - 3. What is p*t(y) - 77*x(y)?
11*y
Let b(i) = 2*i**2 + 32*i + 105. Let x be b(-5). Let s(o) = -2*o**2 + 5*o. Let w(r) = -3*r**2 + 8*r. Determine x*w(z) + 8*s(z).
-z**2
Let h be -9 - (1 - (1 + 0)). Let o(f) = -4 - 21*f**2 + 63157*f - 31582*f - 31583*f. Let s(a) = 5*a**2 + 2*a + 1. Determine h*s(j) - 2*o(j).
-3*j**2 - 2*j - 1
Let q(g) be the first derivative of -2*g**3/3 + 5*g**2/2 + 5*g - 109. Let i(f) = -3*f**2 + 6*f + 6. Calculate 5*i(k) - 6*q(k).
-3*k**2
Let a(k) = -3*k - 1. Let n(o) = -11*o - 48. Give 4*a(d) - n(d).
-d + 44
Let k be 2/(-4)*-2 + 1. Let x(f) be the first derivative of 2*f**3 + 2. Let d(c) be the first derivative of -c**3/3 - 6. Calculate k*x(w) + 11*d(w).
w**2
Let d(v) = 29*v**2 - 10*v - 14. Let w(r) = 30*r**2 - 8*r - 12. Calculate 5*d(m) - 6*w(m).
-35*m**2 - 2*m + 2
Let u(y) = 7*y + 13. Let b(m) = -30*m - 15. Let i(g) = 95*g + 44. Let j(a) = -13*b(a) - 4*i(a). What is -5*j(d) + 7*u(d)?
-d - 4
Let n(x) = -6*x - 5. Let u be 0/(1/((-1)/2)). Suppose -5*s + u = -20. Suppose s*z - 2*z = -10. Let p(a) = -a - 1. What is z*p(r) + n(r)?
-r
Let l(d) = 2*d**2. Suppose -i = -2*i + 7. Let w(y) be the second derivative of -5*y**4/12 + 4*y + 20. What is i*l(x) + 3*w(x)?
-x**2
Let i(m) = 17*m**3 + 9*m**2 + 5*m + 5. Let t(j) = -41*j + 241. Let p be t(6). Let d(b) = -25*b**3 - 13*b**2 - 7*b - 7. Give p*d(v) - 7*i(v).
6*v**3 + 2*v**2
Let o(c) = -5*c**3 - c**2 + 3*c - 5. Let y(n) = -6*n**3 - 2*n**2 + 5*n - 6. Give -3*o(j) + 2*y(j).
3*j**3 - j**2 + j + 3
Let s(d) = -11*d - 5. Let o(m) be the second derivative of -m**6/120 - m**5/40 - 2*m**4 - 36*m. Let r(q) be the third derivative of o(q). Give 7*r(j) - 4*s(j).
2*j - 1
Suppose -l + 3*l = 18. Let z = l + -5. Let b be (-1)/((z - 3)*1). Let h(g) = g**3 - g**2 - g - 1. Let t(d) = 2*d**3 - 3*d**2 - 3*d - 3. Give b*t(u) + 3*h(u).
u**3
Let a(k) = -5*k + 3. Let t(n) = -2*n + 1. Suppose -j = -4*l - 43, 19 = -2*l + 8*j - 5*j. Determine l*t(c) + 4*a(c).
2*c + 1
Let k(x) be the first derivative of 2*x**2 - 8*x + 115. Let m(i) = -2*i + 4. Suppose 0 = -4*c + 2*c - 8. Calculate c*k(s) - 9*m(s).
2*s - 4
Let a(v) = -2109*v. Let r(l) = -34*l. Determine -6*a(y) + 370*r(y).
74*y
Let l(y) = 12*y**3 - 4*y**2 + 4*y + 1. Let x(b) = 4*b**3 + b + 1. Let a(p) = l(p) - 2*x(p). Let i(c) = -13*c**3 + 13*c**2 - 7*c + 3. What is -7*a(z) - 2*i(z)?
-2*z**3 + 2*z**2 + 1
Let c(x) = -83*x**3 - x - 4. Let k(r) = -165*r**3 - 2*r - 9. Give -9*c(g) + 4*k(g).
87*g**3 + g
Suppose -5*h - 4 = -24. Let f(d) = 2 - 4*d + d + 2. Let l(w) = 28 + 5 - 15*w - 16*w - 27*w + 34*w. What is h*l(s) - 33*f(s)?
3*s
Let f(j) = -778*j**2 + 10*j - 5. Let m(a) = -3*a**2 + 2*a - 1. What is -f(s) + 5*m(s)?
763*s**2
Let r be 9 - 84/(-60)*-5. Let x(b) = -b**2 + b. Let p(z) = z**2 - 4*z + 2. Give r*x(u) + p(u).
-u**2 - 2*u + 2
Let a(o) = -7*o**2 - 6*o - 5. Let s(i) = 15*i**2 + 13*i + 10. What is 13*a(g) + 6*s(g)?
-g**2 - 5
Let f(a) = -9 + 0 + 3*a + 3 - 2*a. Let g(s) be the third derivative of s**4/24 - 5*s**3/6 - 20*s**2. Give 3*f(v) - 4*g(v).
-v + 2
Let v(c) = c**3 - 4*c + 4. Let a(r) be the third derivative of -r**6/120 + r**4/8 - r**3/2 - 4*r**2 + r. Calculate 4*a(b) + 3*v(b).
-b**3
Let q(z) = -54*z**2 - 5. Let a(w) = 107*w**2 +