h**2 + 3*h + 2
Suppose -38 = 3*r - 47. Let o(f) = -3 + r - 1 - 2*f + 2*f**2. Let n(j) = 2 + 0*j - 4*j**2 + 4*j - 1. Determine 3*n(a) + 5*o(a).
-2*a**2 + 2*a - 2
Let d(j) = -27*j**2 - 17*j + 62. Let g(n) = -14*n**2 - 9*n + 32. What is 6*d(t) - 11*g(t)?
-8*t**2 - 3*t + 20
Let z(y) = -4*y**2 - 3*y. Let d(m) be the third derivative of -m**5/10 - m**4/6 + 362*m**2. Give 5*d(b) - 7*z(b).
-2*b**2 + b
Let l(y) = -y. Let o(d) be the second derivative of d**4/12 - d**3/3 + d**2 - d. Let g be 17 + 36*(-13)/26. Calculate g*o(q) + l(q).
-q**2 + q - 2
Let n(r) be the first derivative of -65/2*r**2 + 1 - 65/3*r**3 + 0*r - 5/2*r**4. Let m(y) = y**3 + 6*y**2 + 6*y. Calculate -65*m(z) - 6*n(z).
-5*z**3
Let l(g) = -1 - 6*g**2 - 4*g**3 + 3 + 3*g**2 + 0*g**2. Let k(d) = d**3 + d**2 - 1. Suppose -t = -5*x + 24, 0*t + 9 = -t + 2*x. Calculate t*l(c) + 2*k(c).
-2*c**3 - c**2
Suppose 0 = w + w - 8. Let k(h) = 3*h - 1. Let a be 0/(-2) + (2 - 1). Let t(i) = 5*i. Let f(c) = -c - 1. Let r(p) = a*f(p) + t(p). Give w*r(o) - 5*k(o).
o + 1
Let w = 11 + -9. Let x(l) = -7 - 6*l + 12*l**2 - 5*l**w - l + 10*l**3 + 14*l. Let z(h) = 9*h**3 + 6*h**2 + 6*h - 6. What is 6*x(v) - 7*z(v)?
-3*v**3
Let x(a) be the third derivative of -a**4/24 + a**3/6 + a**2. Suppose -2*p = -4*p + 12. Let o(y) = -y - 9*y + 6*y + 6. Calculate p*x(h) - o(h).
-2*h
Let k(b) be the second derivative of 5/2*b**2 + 1/6*b**3 + 0 + 52*b - 1/3*b**4. Let t(g) = 0*g + 4 - g - 10 + 5*g**2. What is -4*k(w) - 3*t(w)?
w**2 - w - 2
Let m(r) = -15*r**3 - 5*r**2 + 5*r - 5. Let u(a) = 3 - a**2 + 48*a + 8*a**3 + 4*a**2 - 51*a. Calculate -3*m(f) - 5*u(f).
5*f**3
Let j(d) = 2*d + 1. Let a(o) = -4*o - 2. Let p(v) = v**3 + v**2 - v + 6. Let b be p(0). Suppose 0 = 6*z - 125 + 59. Calculate b*a(h) + z*j(h).
-2*h - 1
Let n(m) = 10*m + 49. Let w be n(-5). Let p(j) = -j**2 + j - 1. Let o(i) = -2*i**2 + 5*i - 7. Give w*o(s) + 3*p(s).
-s**2 - 2*s + 4
Let h(p) be the first derivative of -4 - p**2 - 9*p + 1/3*p**3. Let a(k) = -k - 4. Determine -9*a(n) + 4*h(n).
4*n**2 + n
Let n(t) = t**2 + t - 3. Let b(w) = 0 + 8 - 1747*w - 2*w**2 + 1745*w. What is -4*b(j) - 11*n(j)?
-3*j**2 - 3*j + 1
Let s(n) = -74*n - 17. Let a(f) = -19*f - 4. Give 9*a(o) - 2*s(o).
-23*o - 2
Let h(k) = -12*k. Let q(w) = -11*w + 1. Give -3*h(a) + 4*q(a).
-8*a + 4
Let b(c) = c**3 + c**2 + 2*c - 6. Suppose 2*g = -d - 2, 21 = -9*d + 4*d + g. Let y(q) = -q + 1. What is d*y(r) - 2*b(r)?
-2*r**3 - 2*r**2 + 8
Let n(y) = 3*y - 14. Let b(u) = 7*u - 27. Determine -2*b(i) + 5*n(i).
i - 16
Let n(d) = 77*d + 22. Let o(k) = -11*k - 3. Let t(g) = 2*g**2 + 10*g + 10. Let v be t(-6). What is v*o(q) + 3*n(q)?
-11*q
Let v(f) = -2414*f**3 + 170*f**2 - 85*f + 85. Let w(h) = 115*h**3 - 8*h**2 + 4*h - 4. What is 4*v(q) + 85*w(q)?
119*q**3
Let g(d) = 1 + 0 + d + 1. Suppose 4*c = -h + 3, c + 6 = h + 13. Let r(m) = 4. Let p(b) = -b + 7. Let s(v) = c*p(v) - 5*r(v). Calculate 8*g(q) + 3*s(q).
2*q - 2
Let x(q) = -11*q**2 + 5*q + 18. Let i(k) = 20*k**2 - 9*k - 33. Let p(w) = -6*i(w) - 11*x(w). Let h(n) = 4*n**2 + 4*n - 1. What is h(a) + 4*p(a)?
8*a**2 - 1
Let k(j) be the second derivative of j**4/4 + j**3/3 - 2*j**2 + 3*j. Let g = 2 - 0. Suppose 39*z = -18 - 21. Let a(h) = h**2 - 1. Give g*a(v) + z*k(v).
-v**2 - 2*v + 2
Let g(m) = -m - 5*m - 5*m**3 + 4*m**3. Let d(v) be the first derivative of -v**2/2 + 26. Determine 6*d(f) - g(f).
f**3
Let v(x) = 2*x**3 + 3*x**2 + 3*x. Suppose 2*y + 2*y = 0. Suppose 2*d + 3*d + 35 = y. Let c(n) = 4*n**3 + 7*n**2 + 7*n. Determine d*v(g) + 3*c(g).
-2*g**3
Let x = 3 + -10. Let c(g) = -3*g**2 + 5*g - 7. Let l(p) be the first derivative of 15 - 4/3*p**3 - 10*p + 7/2*p**2. Give x*c(b) + 5*l(b).
b**2 - 1
Let l(y) = -y**3 - y**2 - y + 1. Let o(f) = 16*f**3 + 2*f**2 + 6*f - 4. Determine 5*l(c) + o(c).
11*c**3 - 3*c**2 + c + 1
Let y(x) be the second derivative of -x**3/6 - 2*x + 13. Let d(j) = j. Suppose 5*c - 3 = -18. What is c*d(h) - y(h)?
-2*h
Let p(t) = 1. Let k(y) = 11*y + 10*y + 9 - 22*y. Determine k(w) - 6*p(w).
-w + 3
Let y(u) = -11*u**3 + 9*u**2 + 5. Let s(b) be the third derivative of b**6/20 - b**5/12 - b**3/2 + 15*b**2. Determine 5*s(f) + 3*y(f).
-3*f**3 + 2*f**2
Let k(b) = 74*b + 26. Let m(l) = 37*l + 15. What is 4*k(i) - 7*m(i)?
37*i - 1
Let o(g) = -3*g - 3. Let x(v) = -2*v - 2. Let d(z) = 5*o(z) - 8*x(z). Let i(s) = 1. Give d(m) - 4*i(m).
m - 3
Let k(n) = 5*n**2 + 6*n + 13. Let c(q) = 4*q**2 + 5*q + 12. Determine -4*c(a) + 3*k(a).
-a**2 - 2*a - 9
Let i(o) = o - 1. Let b(h) = 641*h**2 + 3205*h - 3205. Determine -b(k) + 3205*i(k).
-641*k**2
Let r(c) = 3*c - 9. Let d be r(1). Let f(k) = 2*k + 1. Let q(i) = -4*i - 2. Let x = -101 + 90. Give d*q(s) + x*f(s).
2*s + 1
Let p(q) = 3*q**3 - 7*q**2 + q + 55. Let k(i) = 2*i**3 - 4*i**2 + i + 28. What is 7*k(b) - 4*p(b)?
2*b**3 + 3*b - 24
Let g(n) = -n + 1. Let d = -1966 + 1968. Let x(f) = -15*f + 2. Determine d*g(i) - x(i).
13*i
Let n(q) = 8*q**3 - 3*q**2 - 56*q + 4. Let g(t) = -6*t**3 + 2*t**2 + 55*t - 3. Determine -3*g(o) - 2*n(o).
2*o**3 - 53*o + 1
Let m(f) = -3*f**2 + f. Let n(b) = -b**2 - b + 10. Let a(i) = i**2 - 4. Let k(s) = 5*a(s) + 2*n(s). Suppose 2 - 30 = -7*o. Calculate o*m(c) + 3*k(c).
-3*c**2 - 2*c
Let m(q) be the first derivative of 0 - 1 - q - 4. Let r(k) = -2*k - 5. Let g(x) = -x**2 + 7*x - 6. Let i be g(4). Calculate i*m(d) - r(d).
2*d - 1
Let f(y) = -2897*y - 2903*y + 5806*y + 18*y**2 - 6. Let p(d) = 53*d**2 + 17*d - 17. Give 17*f(j) - 6*p(j).
-12*j**2
Let w(c) = -6*c + 105. Let s(y) = 8*y - 106. What is -4*s(d) - 5*w(d)?
-2*d - 101
Let v = -9 + 13. Suppose 2 = 5*x - v*x. Let b(h) be the first derivative of h**3/3 + 2*h + 764. Let s(u) = -4*u**2 - 7. Determine x*s(y) + 7*b(y).
-y**2
Let w(j) = 2316 + 8*j**3 - 6*j + j**3 - 2317. Let v(a) = 10*a**3 - 7*a - 1. Give -6*v(m) + 7*w(m).
3*m**3 - 1
Let r(z) be the first derivative of -z**3/3 + z**2/2 - z + 40. Let u(m) = -6*m**2 + 5*m - 5. Calculate -5*r(w) + u(w).
-w**2
Let m(y) = -141*y**2 + 15*y + 6. Let i(r) = -70*r**2 + 8*r + 3. Calculate 11*i(o) - 6*m(o).
76*o**2 - 2*o - 3
Suppose 9 = 3*c - 0*c. Let a(g) = -4 - 1 + 4. Let f(x) = x**2 + 3*x + 3. Give c*a(u) + f(u).
u**2 + 3*u
Let y = -83 - -129. Let d(a) = -54*a - y*a + 5 + 8*a**2 + 106*a. Let x(z) = -7*z**2 - 5*z - 4. Give 6*d(t) + 7*x(t).
-t**2 + t + 2
Let v(h) = 3*h**3 + 2*h + 4. Let l(i) = -166*i - 994. Let o be l(-6). Let t(b) = -4*b**3 - 3*b - 5. Let x = 8 - 5. Give o*t(z) + x*v(z).
z**3 + 2
Let f(l) = -4. Let i(a) = 5*a - 5*a + a + 2 - 6. Calculate 2*f(c) - 3*i(c).
-3*c + 4
Let i(t) = 2*t**2 + 26*t + 76. Let w be i(-8). Let m(a) = -3*a**3 - 2*a. Let s(f) = -65*f**3 - 45*f. Give w*s(l) + 90*m(l).
-10*l**3
Let f(x) = 41*x - 3 + 51*x - 90*x. Let w(o) = 10*o - 16. Determine -16*f(k) + 3*w(k).
-2*k
Let j(m) = 2*m**3 + 5*m**2 + 5*m - 5. Let n = -72 + 74. Let w(h) = -1 + h**3 - 7*h + 3*h**2 + 8*h - 2*h**n. What is j(o) - 5*w(o)?
-3*o**3
Let c(a) = -12*a**3 + 2*a + 2. Let q(t) = -13*t**3 + 3*t + 2. Suppose -60 = 81*k - 66*k. Give k*q(f) + 5*c(f).
-8*f**3 - 2*f + 2
Let t(p) = -p**3 - p**2. Let q(c) = 9*c**3 - 5*c**2 - c + 3. Calculate -q(x) + 6*t(x).
-15*x**3 - x**2 + x - 3
Let v(x) = 9*x + 5. Let d(b) = -48*b + 198. Let c be d(4). Let s(u) = -u - 3 - u - 3*u. What is c*v(l) + 11*s(l)?
-l - 3
Let c(v) = v**3 + 18*v + 2. Suppose 9*n - 14*n = 0, 4*t - 5*n = 44. Let s(h) = 2*h**3 + 35*h + 4. What is t*c(u) - 6*s(u)?
-u**3 - 12*u - 2
Let s(v) = -15*v**2 - 9*v - 9. Suppose -5*k + 2*k + 12 = 0. Let j(q) = 7*q**2 + 4*q + 4. Let b be ((-36)/8)/(3/(-6)). Determine b*j(i) + k*s(i).
3*i**2
Let o(b) be the second derivative of -b**5/5 - 7*b**4/12 - b**3 - 3*b**2 + 123*b. Let p(f) = -11*f**3 - 20*f**2 - 17*f - 17. Calculate 17*o(k) - 6*p(k).
-2*k**3 + k**2
Let r(t) = 14*t - 5. Let d(a) = 15*a - 6. Suppose -64 = -7*m - 29. Give m*d(g) - 6*r(g).
-9*g
Let a(b) = -4*b - 1. Let k(h) = -41*h - 26. Let w(y) = -4*y - 3. Let v(s) = -3*k(s) + 24*w(s). Calculate -15*a(i) - 2*v(i).
6*i + 3
Let p(t) = -273*t + 2. Let i(y) = 330332*y - 2421. What is -2*i(l) - 2421*p(l)?
269*l
Let g(f) = 2*f**2 - 14*f + 1. Let o(z) = -2*z**2 + 12*z - 1. Give 5*g(i) + 6*o(i).
-2*i**2 + 2*i - 1
Let s(i) = -2*i**2 + i - 9. Let c(r) = -10*r**2 + 6*r - 45. Determine 2*c(j) - 11*s(j).
2*j**2 + j + 9
Let t(a) = -49*a**2 - 21*a. Let i(u) = 23*u**2 + 2*u - u