*2 + 2*y + 1
Let l(p) = p**3 - 6*p**2 - 6*p - 4. Let i(r) be the second derivative of r**4/12 + r**3/6 + r - 12. Determine 6*i(o) + l(o).
o**3 - 4
Let h(n) = -10*n**3 - 208*n**2 + 11. Let b(p) = -2*p**3 - 41*p**2 + 2. What is 11*b(q) - 2*h(q)?
-2*q**3 - 35*q**2
Suppose -3*r + 7*r = -20. Let u be (2 + -4)*(r - -2). Let d(w) = w**2 + 6*w - 6. Let x(m) = -2*m**2 - 13*m + 13. Determine u*x(l) + 13*d(l).
l**2
Let u(v) = 469*v**3 - 4*v**2 - 4*v + 4. Let w(b) = -468*b**3 + 5*b**2 + 5*b - 5. Give 5*u(j) + 4*w(j).
473*j**3
Let r(b) = -2*b**2 - 6*b + 5. Let u(d) = 102*d**2 - 4 - 99*d**2 - 122*d - 2 + 129*d. What is 6*r(s) + 5*u(s)?
3*s**2 - s
Let r(p) = p**2 - p - 1. Let i(v) = v**3 + 6*v**2 - 4*v - 7. Suppose 4*s = 16 + 24. Suppose s = -8*a + 2. Calculate a*i(h) + 6*r(h).
-h**3 - 2*h + 1
Let o(f) = 79*f**2 + 8. Let y(z) = -78*z**2 - 9. Give 7*o(j) + 6*y(j).
85*j**2 + 2
Let d(m) = 8*m**3 + 5. Let l(f) = 7*f**3 + 4. Suppose 2*k - 252 = -5*k. Let b = -31 + k. What is b*l(j) - 4*d(j)?
3*j**3
Let o(m) = 34*m**3 + 5*m**2 + 5*m + 5. Let p(a) = 17*a**3 + 3*a**2 + 3*a + 2. Determine 3*o(s) - 5*p(s).
17*s**3 + 5
Let y(w) = -8*w**2 - 6*w + 4. Let v(p) = -2*p - 2. Determine 4*v(h) - y(h).
8*h**2 - 2*h - 12
Let p(c) = c**3 + 4*c**2 + 1. Let k(q) = 5*q**3 + 21*q**2 - q + 4. Calculate 2*k(z) - 11*p(z).
-z**3 - 2*z**2 - 2*z - 3
Let n(r) = 10*r + 14. Suppose 19*d - 22*d = -114. Let u(y) = -d - 44 - y + 81. Determine n(c) + 12*u(c).
-2*c + 2
Let j(x) = -22*x**3 - 25*x**2 - 19*x + 25. Let c(k) = -7*k**3 - 8*k**2 - 6*k + 8. Calculate -19*c(b) + 6*j(b).
b**3 + 2*b**2 - 2
Suppose -9 = 3*n - 8*d + 11*d, n - d - 1 = 0. Let t(z) = -3*z + 3. Let a(w) = w**2 - 1. Give n*t(h) - 2*a(h).
-2*h**2 + 3*h - 1
Let o(q) be the third derivative of 3*q**2 - 1/6*q**3 + 0*q**4 - 1/60*q**5 + 0 + 0*q. Let f(w) = 2*w**2 + 2. Give 2*f(n) + 3*o(n).
n**2 + 1
Let k(s) = s**2 - 2*s. Let t be (-10)/(-40)*-20 - (-1 - 7). Let i(z) = z. What is t*k(y) + 4*i(y)?
3*y**2 - 2*y
Let x(i) = -i**3 + 13*i**2 + 6*i. Let d(t) = 4*t**3 + 42*t**2 + 21*t. Let l(u) = 3*u**3 + 28*u**2 + 14*u. Let p(r) = 5*d(r) - 7*l(r). Give 6*p(a) - 7*x(a).
a**3 - 7*a**2
Let x(l) = 3*l - 5. Suppose -2*o + 3*o + 7 = 0. Let y(b) = -b - 7. Let f(i) = 9*i + 88. Let p(j) = f(j) + 12*y(j). Let t = 10 + -16. What is o*p(g) + t*x(g)?
3*g + 2
Let d(v) = -v. Let g(b) be the first derivative of -1/3*b**3 + 15 - b + b**2. Give d(j) + g(j).
-j**2 + j - 1
Let l(n) = 16*n**3 + 20*n**2 - 20*n + 20. Let s(k) = k**3 + k**2 - k + 1. Let p be 7 + (1 - (-36)/(-6)). What is p*l(h) - 40*s(h)?
-8*h**3
Let o(r) = -14*r**3 - 2. Let p = 352 + -355. Let x(t) = t**3 - 4*t - 3. Let c(i) = 5*i + 4. Let m(s) = 4*c(s) + 5*x(s). Determine p*o(d) - 8*m(d).
2*d**3 - 2
Let y(g) = -g. Let n(q) = 7*q + 4. Let v(t) = t**2 - 3*t - 6. Let d be v(3). What is d*y(j) - n(j)?
-j - 4
Let o(s) = -5*s**2 + 4*s - 4. Let q(p) be the second derivative of -p**4/3 + 5*p**3/6 - 3*p**2/2 + 286*p. Determine 2*o(r) - 3*q(r).
2*r**2 - 7*r + 1
Let h(w) = 2*w - 154. Let y(g) = 5*g - 308. What is -7*h(p) + 3*y(p)?
p + 154
Let x(m) = -3*m + 17. Suppose 292*t - 60 = 282*t. Let z(v) = 2*v - 9. What is t*x(o) + 11*z(o)?
4*o + 3
Let f(s) = -3*s + 2. Suppose 0 = k + 61 + 38. Let y(x) = -48*x + 33. Determine k*f(d) + 6*y(d).
9*d
Let c(m) be the first derivative of 4*m**2 - 4*m - 1. Let j(h) = 13*h + 84. Let q(v) = -3*v - 15. Let i(l) = -2*j(l) - 11*q(l). Give -6*c(d) + 7*i(d).
d + 3
Let w(c) = 6*c**3 - 4*c**2 - 5*c + 5. Let d(x) = 11*x**3 - 7*x**2 - 9*x + 9. Let i be 3 + 4*(-3)/(-2). Suppose -2*h + 28 = -i*h. Calculate h*d(j) + 7*w(j).
-2*j**3 + j - 1
Let y(x) = -x**2 + 19*x + 44. Let d be y(21). Let b(a) = 22*a**2 + 2 + 3*a - 24*a**d + 0*a. Let v(j) = 4*j**2 - 7*j - 5. Determine -9*b(f) - 4*v(f).
2*f**2 + f + 2
Let w(t) = -284*t**2 + 9. Let s(l) = -l**2 + 4. Give 2*s(z) - w(z).
282*z**2 - 1
Let s(z) = -4*z**2 - 4*z - 6. Let f(h) = -9*h**2 - 9*h - 13. Let m be -2 - (-8 + 5)/(-3). Give m*f(u) + 7*s(u).
-u**2 - u - 3
Let q(f) = f**2 - f - 1. Let a(c) = -c**3 + 6*c**2 + 2*c - 8. Give a(w) - 6*q(w).
-w**3 + 8*w - 2
Let b(w) = -2*w**3 - 17. Suppose -29*j + 7 - 239 = 0. Let m(x) = x**3 + 6. Determine j*m(h) - 3*b(h).
-2*h**3 + 3
Suppose 7*m + 11 = 10*m + 4*h, 2*m = -5*h + 12. Let i(a) = a. Let n(q) be the first derivative of 3*q**2/2 + 2*q - 1. Calculate m*n(c) - 4*i(c).
-c + 2
Let c(g) = 36*g**2 - g - 137. Let y(p) = -10*p**2 + 1. What is c(z) + 4*y(z)?
-4*z**2 - z - 133
Suppose 8*c = -2*c - 40. Let s(d) = -7*d**2 - 4*d - 4. Let h(v) = 48*v**2 + 27*v + 27. Give c*h(w) - 27*s(w).
-3*w**2
Let p(o) = o**3 - o**2 - o - 1. Let d(g) = 4*g**3 - 2*g**3 - 279 + 0*g**3 + 268 - 4*g - 4*g**2. Calculate -d(m) + 4*p(m).
2*m**3 + 7
Let t be -4 - (3 - 11) - 3. Let q(h) = h**2 - h - 1. Let v = -2 + 3. Let f(x) = -5*x - 5*x + 0*x + 9*x. Give t*f(n) + v*q(n).
n**2 - 2*n - 1
Let i(n) = 0*n - 1 - 1 - 3 + 11*n. Let j(k) = -10*k + 13. Let h(w) = -5*w + 6. Let z(y) = -9*h(y) + 4*j(y). Determine -4*i(v) + 9*z(v).
v + 2
Let g(u) = 26*u + 204. Let z be g(-8). Let s(k) = 18*k**2 + 4*k. Let w(t) = -t**2 - t. Calculate z*w(f) - s(f).
-14*f**2
Let k(j) = j + 1. Let c = -653 + 465. Let u be 4/16 + c/(-16). Let f(v) = -v**3 - 4*v - 4. Calculate u*k(y) + 3*f(y).
-3*y**3
Let h(z) = -219*z**2 - 12*z - 14. Let s(y) = -217*y**2 - 10*y - 12. Determine -5*h(v) + 6*s(v).
-207*v**2 - 2
Let r(p) = -45*p - 8. Let n(b) = 47*b + 9. Calculate 6*n(l) + 7*r(l).
-33*l - 2
Let q(t) = 18*t**2 + t. Let b(i) = -27*i**2 - i. Suppose 0 = 765*j - 759*j + 42. Calculate j*q(y) - 5*b(y).
9*y**2 - 2*y
Suppose 0*x + 5*x = -5*h - 60, 0 = -4*h + 2*x - 78. Let m(l) = 14*l**3 + 3*l**2 + 17*l - 3. Let k(v) = 5*v**3 + v**2 + 6*v - 1. Give h*k(z) + 6*m(z).
-z**3 + z**2 - 1
Let z(j) = j - 1. Suppose -4*s + 0 = -12. Suppose -4*x - 5 - 24 = s*h, -3*x - 24 = 3*h. Let i be -1*3/((-15)/x). Let q(p) = -3*p + 2. Calculate i*q(g) - z(g).
2*g - 1
Suppose -578*o + 14 = -592*o. Let l(s) = 5 + 2*s**2 - 4*s**2 + 2*s - 3*s. Let r(x) = -3. Let q(j) = -8. Let t(y) = 4*q(y) - 11*r(y). What is o*l(k) + 6*t(k)?
2*k**2 + k + 1
Let f(t) = -589*t**2 + 57*t. Let w(r) = 16*r**2 + 5*r**2 - 10 - 2*r - 6 + 16. Calculate 2*f(s) + 57*w(s).
19*s**2
Let r = -4 - 0. Let s(x) = -5*x + 4. Let g(t) = 82*t + 20. Let v(l) = 29*l + 7. Let n(h) = -6*g(h) + 17*v(h). What is r*n(q) - s(q)?
q
Let q be (-355)/10 + 3/2. Let y be 2/(q/(-10) + -3). Let n(c) = -5*c + 5*c - y*c + 8. Let k(v) = 11*v - 17. Calculate 6*k(t) + 13*n(t).
t + 2
Let u(h) = -h**3 - h + 1. Let q(k) = -115*k**3 - 23*k + 23. What is q(a) - 23*u(a)?
-92*a**3
Let a(u) = u - 3. Let o = 18 + -46. Let t = 30 + o. Let i(g) = -g + 1. What is t*a(c) + 5*i(c)?
-3*c - 1
Suppose 0 = z - 2*p + 10, -3*z - 11 = -5*p + 17. Let g(k) = 14*k**3 + 17*k**2 + 17*k. Let h(s) = 4*s - 5*s - 6*s**2 - 5*s - 5*s**3. Give z*g(l) - 17*h(l).
l**3
Let f(w) = 6*w**3 - 4*w**2 - 5*w - 7. Let h(s) = -s**3 + s**2 + s + 1. What is f(r) + 4*h(r)?
2*r**3 - r - 3
Let d(m) = 37931*m. Let y(g) = -327*g. What is -5*d(f) - 581*y(f)?
332*f
Let j(d) = 2*d**2 + 2*d - 2. Let o = -68 - -71. Let m be o*((-13)/3 + 5). Let s(h) = 3*h**2 + 5*h - 5. Determine m*s(v) - 5*j(v).
-4*v**2
Let z(s) = -13*s + 10. Let p(h) = 4*h - 3. Let i be (-4)/1 - (-40)/5. Suppose 12 = -i*c + 40. Give c*p(q) + 2*z(q).
2*q - 1
Let u(m) = 2*m**2 - m. Let y(d) = d**2 - d. Let w be -6*(-2)/(-9) - (-1)/3. What is w*u(t) + 3*y(t)?
t**2 - 2*t
Suppose 16 = 2*h + 2*h. Let b(c) = 4*c**3 + 3*c**2 + 3. Let o(s) = -5*s**3 - 4*s**2 - 4. Suppose 27*w - 29*w + 6 = 0. What is h*b(z) + w*o(z)?
z**3
Let h(g) be the third derivative of g**5/12 - g**4/12 + g**3/3 + g**2. Let b(t) = 11*t**2 - 5*t + 5. Let i be 7 + -1 + -3 - 1. What is i*b(o) - 5*h(o)?
-3*o**2
Let g(y) = -798*y**3 - 5*y + 10. Let z(u) = 795*u**3 + 6*u - 12. Determine -6*g(t) - 5*z(t).
813*t**3
Let p(q) = 2*q - 4. Let n = 26 + -25. Let g(u) = 18*u - 31*u - 8 + 16*u + n. Calculate -3*g(j) + 5*p(j).
j + 1
Let j(b) = -38*b - 6. Let q(t) = 6*t + 1. Calculate 3*j(i) + 12*q(i).
-42*i - 6
Let v(f) = -f. Let l(z) = z. Let x(w) = 5*l(w) + 6*v(w). Let h(n) = -58*n + 3. Let i be h(1). Let k = -58 - i. Let s(a) = -a. Determine k*x(o) + 5*s(o).
-2*o
Let i be (-4)/6 + (-10)/(-6). Let o(m) be the third derivative of -m**4/24 + m**3/3 - 12*m**2 - 10. Let s(g) = -1. What is i*s(h) + o(h)?
-h 