 31*h - 7. Suppose -210*y = -193*y - 150*y + 665. Let p(o) = -31*o + 8. Give y*p(l) + 6*g(l).
31*l - 2
Let i(h) = -23*h**2 - 14*h - 1278. Let z(v) = -3*v**2 - 2*v - 182. Calculate -2*i(c) + 15*z(c).
c**2 - 2*c - 174
Let v(n) = -27*n + 5. Let m(j) = -79*j + 21. Calculate -4*m(g) + 14*v(g).
-62*g - 14
Let l(x) = -72*x**2 - 27*x - 34. Let t(r) = 25*r**2 + 10*r + 12. Give -4*l(q) - 11*t(q).
13*q**2 - 2*q + 4
Let r(q) be the first derivative of -11*q**3/3 + 3*q**2/2 + 3*q + 3598. Suppose -3*x + 0*x = -9. Let m(n) = -11*n**2 + 2*n + 2. Give x*m(w) - 2*r(w).
-11*w**2
Let n be ((-480)/144)/((-10)/12). Let a(b) = 5*b**3 - 3*b**2 + 4*b + 4. Let k(p) = -5*p**3 + 4*p**2 - 5*p - 5. What is n*a(r) + 3*k(r)?
5*r**3 + r + 1
Let b(l) = -8*l + 7557. Let k(q) = 3*q - 3785. What is -2*b(x) - 5*k(x)?
x + 3811
Suppose 8*z - 14*z + 270 = 0. Suppose -51 = i - z. Let g(o) be the first derivative of -5*o**2/2 + 8*o + 15. Let m(l) = 4*l - 7. Give i*m(d) - 5*g(d).
d + 2
Suppose -4*z = 3*i - 9, 2*z = 4*i - 3*z + 50. Let n(j) = j**3 - j**2 + 1. Let b(v) = 6*v**3 + 5*v**2 - v - 5. Calculate i*n(l) - b(l).
-11*l**3 + l
Let f(y) = 1. Let q(c) = -3*c**3 - 11*c**2 - 6*c + 7. Let i(h) = 4*h**3 + 7*h**2 + 4*h - 6. Let u(v) = -3*i(v) - 2*q(v). Determine 4*f(d) - u(d).
6*d**3 - d**2
Let s(o) = -2*o**2 - 8*o + 6. Let l = 93 + -93. Suppose l = 3*g - 15, 3*n = -4*g + g + 39. Let j(q) = q - 1. Calculate n*j(x) + s(x).
-2*x**2 - 2
Let a(t) = 5*t - 10. Let g(m) = m**2 - 6*m - 87. Let j be g(13). Let s(v) = 2 + j*v + 2*v - 9 - 4. Give 5*a(d) - 4*s(d).
d - 6
Let a(z) = -15*z. Let m(n) = -104*n. Let o = 430 + -384. Suppose -14*q + 12*q + o = 2*x, -5*q - 5 = -x. What is x*a(f) - 3*m(f)?
12*f
Let l(m) = -m**2 - m - 1. Suppose -16*d + 15*d + a = -6, -5*d - 3*a = 26. Let x(s) = 8*s**2 + 6*s + 42. Give d*x(u) - 6*l(u).
-2*u**2 - 36
Let b(q) = -8*q + 1. Let i = 33982 + -33983. Let c(d) = -d - 1. Determine i*b(x) + 2*c(x).
6*x - 3
Let m(u) = 3*u + 1. Let p(c) = 1108*c + 3. Give 6*m(d) - p(d).
-1090*d + 3
Let l(w) = -3*w**2 - 187*w + 4. Let u(i) = i - 1. What is l(y) + 3*u(y)?
-3*y**2 - 184*y + 1
Let h(p) = -68*p**3 + 569*p**2 - 12*p - 13. Let y(w) = -74*w**3 + 570*w**2 - 13*w - 14. What is -13*h(v) + 12*y(v)?
-4*v**3 - 557*v**2 + 1
Let g = 4281/2 - 2140. Let o(j) be the first derivative of j + 5/3*j**3 - g*j**2 - 5. Let u(a) = a - 1. Give -o(l) - u(l).
-5*l**2
Let o(g) = g**3 - 2*g**2 - 2*g + 8. Let y be o(0). Let h(b) = 5*b + 9. Let j(p) = -14*p - 28. What is y*h(v) + 3*j(v)?
-2*v - 12
Let z(b) = 0*b - b + 2*b - 2 - 3. Let f(l) = -3*l + 9. Let m(h) = -h**3 + 73*h**2 - 210*h + 2. Let o be m(70). Determine o*f(k) + 5*z(k).
-k - 7
Suppose 0 = 11*k - 8*k - 5*c - 40, 0 = -5*k + 3*c + 88. Suppose -k*h = 37 + 123. Let z(s) = 26*s + 8. Let f(x) = -9*x - 3. Give h*f(v) - 3*z(v).
-6*v
Let t(o) = 7*o**2 - 3*o - 19. Let p(i) be the third derivative of i**5/15 - i**4/12 - 3*i**3/2 + 1143*i**2. Calculate -5*p(z) + 3*t(z).
z**2 + z - 12
Let m(y) = -5*y + 4. Suppose 0 = 14*j - 6*j - 48. Let g(q) = -4*q - 15 + 3*q + 16. What is j*g(s) - m(s)?
-s + 2
Let c(z) = -3*z**3 + z**2 - 1224*z + 5. Let b(n) = n - 1. Determine 4*b(f) + c(f).
-3*f**3 + f**2 - 1220*f + 1
Let p(t) = 3*t**2 + 7*t - 2. Let f(l) be the first derivative of -5*l**3/3 - 13*l**2/2 + 3*l + 4. Let z be ((-872)/40 - -26)*(-10)/6. Determine z*p(x) - 4*f(x).
-x**2 + 3*x + 2
Let y(m) = -23 + 56 - 14 - 20. Let v(w) = -w**2 - 19. What is 2*v(c) - 14*y(c)?
-2*c**2 - 24
Let l(r) = -3*r**3 + 12*r**2 + 29*r + 12. Let f(g) = 6*g**3 - 26*g**2 - 60*g - 24. Calculate -6*f(h) - 13*l(h).
3*h**3 - 17*h - 12
Let t(w) = 12*w - 7. Suppose 21 = -5*y + 5*r + 6, -4*y - 21 = -r. Let q(a) = -a + 1. Let m(d) = y*q(d) - t(d). Let b(u) = u - 1. Determine b(l) + m(l).
-5*l
Let t(z) = -872*z**3 + 6*z - 12. Let y(j) = -2615*j**3 + 19*j - 37. Give -19*t(l) + 6*y(l).
878*l**3 + 6
Let y be (5/((-10)/(-3)))/((-6)/24). Let m(h) = 30*h - 3. Let c(b) = -1 - 3*b + b + 7*b + 5*b. Determine y*m(l) + 17*c(l).
-10*l + 1
Let k(n) = -65*n**3 - 20*n**2 - 20*n - 5. Let u(m) = 65*m**3 + 22*m**2 + 22*m + 7. What is 11*k(v) + 10*u(v)?
-65*v**3 + 15
Let p(b) = 3*b + 2. Let z(l) = 13*l - 251. Determine -4*p(k) + z(k).
k - 259
Suppose -8*i = -3*i - 20. Let n(o) = -6*o**3 - 3. Let c be -2 - 0 - 7*-1. Let l(k) = 9 + 127*k**3 + 30 - 35 - 120*k**3. Determine c*n(z) + i*l(z).
-2*z**3 + 1
Let m(z) = 25*z**3 + 10*z - 10. Let q(x) = 10*x + 10. Let i be (15 + -15)/(3 + -1). Let l be q(i). Let y(v) = 8*v**3 + 3*v - 3. Determine l*y(g) - 3*m(g).
5*g**3
Suppose 149*x - 147*x = 6. Let i(d) = 3380*d**2 - 3384*d**2 + 2*d**x - d**3 - 5. Let b(c) = 2*c**2 + 3. What is -5*b(v) - 3*i(v)?
-3*v**3 + 2*v**2
Let c(s) = -321*s - 5. Let h(t) = 1607*t + 28. Give -11*c(j) - 2*h(j).
317*j - 1
Let s(d) = 76*d. Let w(p) = -7*p. Let z(q) = 2*q**2 + q - 36. Let i be z(6). Suppose -17 = -2*t + 3*t - 3*o, 2*o + i = -t. Determine t*w(r) - 3*s(r).
-4*r
Let z(x) = -16*x + 509. Let k(h) = 25*h - 750. Calculate 5*k(t) + 7*z(t).
13*t - 187
Let p(q) = -2*q**3 - 7*q**2 + q - 2. Let m(f) = 12*f**3 + 79*f**2 - 13*f + 48. Give -m(c) - 11*p(c).
10*c**3 - 2*c**2 + 2*c - 26
Let p(c) = -3*c**3 + 2*c**2 - 4. Let f(z) = z**2 - 51*z**3 + 60*z**3 + 6 + 7 - 15*z**2 + 8*z**2. What is 2*f(b) + 7*p(b)?
-3*b**3 + 2*b**2 - 2
Let x be (-2 + (-10)/(-6))*-3. Let u(k) = -19*k + 645. Let v be u(34). Let n(r) = -r + 2. Let a(o) be the first derivative of o - 1. Calculate v*n(c) + x*a(c).
c - 1
Let q(w) = -w**3 - 21*w**2 + 191*w + 36. Let v be q(7). Let d(s) = s**3 - s**2 + 1. Let t(m) = 3*m**3 - 2*m**2 - m + 3. Calculate v*t(x) - 2*d(x).
x**3 - x + 1
Let g(h) be the third derivative of 2*h**5/3 + 5*h**4/24 + 5*h**3/6 - 150*h**2. Let l(t) = -100*t**2 - 12*t - 12. What is 12*g(v) + 5*l(v)?
-20*v**2
Let a(b) = -8*b**3 - b**2 + 78*b - 47. Let j(h) = 2*h**3 - 20*h + 11. What is -2*a(s) - 9*j(s)?
-2*s**3 + 2*s**2 + 24*s - 5
Let l(h) be the first derivative of -h**4 + 5*h**3/3 + 1. Let d = 711394 - 711399. Let r(a) = -a**3 + a**2. Give d*r(k) + l(k).
k**3
Let o(r) = 32*r**3 + 9*r**2. Suppose -12 = -2*d + 4*z, -5*d + 10*z = 8*z - 78. Let l(f) = 8*f**3 + 2*f**2. Determine d*l(w) - 4*o(w).
16*w**3
Let k(t) = -37*t**2 - 68*t + 164. Let l(u) = 12*u**2 + 23*u - 51. Give -4*k(w) - 13*l(w).
-8*w**2 - 27*w + 7
Let k(h) be the second derivative of h**2/2 + 50*h. Let l(y) = -2*y + 1. Let a = -661 + 658. Give a*k(q) - l(q).
2*q - 4
Let i(j) = -2*j**2 + 6*j + 6. Let x be 3/(((-63)/(-35) - 2)*-3). Let t(n) = 3*n + 5 - 3*n - 10*n**2 + 8*n**2 + 5*n. Determine x*i(v) - 6*t(v).
2*v**2
Let o(u) = -7*u**3 - 1 - 1617*u**2 - 1622*u**2 + 3*u + 6 + 3238*u**2 - 12*u. Let r(y) = 4 - y**2 - 13*y + y**3 + 3 - 11*y**3. Calculate 7*o(p) - 5*r(p).
p**3 - 2*p**2 + 2*p
Let o(s) = 7*s + 11. Let z(i) = -27. Let g(c) = c - 7. Let f(b) = 6*g(b) - 2*z(b). What is 6*f(d) - 5*o(d)?
d + 17
Suppose 207*l + 1666 = -31*l. Let k(v) = -2*v**2. Suppose -7*p = -3*p - 20. Let b(m) = 3*m**2 + m**3 + p*m**2 - m**2. Calculate l*k(h) - 2*b(h).
-2*h**3
Let n(z) = -7*z**2 - 2*z - 17. Let x(o) = 3*o**2 + o + 8. Suppose -68*r + 65*r = -h - 4, 0 = -3*r - 3*h + 12. Determine r*n(v) + 5*x(v).
v**2 + v + 6
Suppose 4*l + 2*o = -8, -3*l - 8*o - 11 = -9*o. Let n(u) = -46*u + 5. Let x(s) = 47*s - 6. What is l*x(b) - 4*n(b)?
43*b - 2
Let b(s) = -11*s + 8. Let d be (-104)/(-6) + (-12)/(-18). Let k(r) = 35 + 125*r - 34 - 126*r. What is d*k(j) - 2*b(j)?
4*j + 2
Let q(u) be the third derivative of u**6/24 + u**5/60 + u**4/12 + u**3/3 - 661*u**2 - 2. Let r(o) = -6*o**3 - o**2 - 2*o - 1. Give 2*q(v) + 3*r(v).
-8*v**3 - v**2 - 2*v + 1
Let u(d) = d**3 + d**2 - d - 1. Let w be ((-15)/10 - -1)*-24. Let a(p) = 40*p**3 - 16*p**3 - 4*p - 2 + 4*p**2 - 9*p**3 - w*p**3. Determine -a(t) + 4*u(t).
t**3 - 2
Let m(h) be the second derivative of h**3/6 + 27*h**2/2 + 77*h. Let b(i) be the first derivative of m(i). Let u(c) = 3*c - 2. Calculate 3*b(j) + u(j).
3*j + 1
Let d(h) = -119 - 7*h**2 - 451 + 21*h**2 + 2*h + 568. Let w(z) = 42*z**2 + 7*z - 7. Determine -7*d(a) + 2*w(a).
-14*a**2
Let k(y) = y**2 - 16*y - 405. Let x be k(27). Let p(h) = 9*h**3 + 36*h**2 + 36*h - 36. Let b(d) = d**2 + d - 1. Determine x*b(q) + 3*p(q).
27*q**3
Let m(i) = 2*i - 11. Let u(w) = -w + 1. Let s(k) = 2*k**3 + 20*k**2 + 117*k + 1173. Let o be s(-10). Give o*u(q) + m(q).
-q - 8
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