 1
Let d(l) = 12*l**3 - 4*l**2 - 5*l + 6. Let y(b) = b**3 + b**2 - b. Let p(n) = d(n) - 5*y(n). Let s(w) = 6*w**3 - 8*w**2 + 5. What is 5*p(c) - 6*s(c)?
-c**3 + 3*c**2
Let n(j) = 13*j**3 - 6*j**2 - 6*j + 6. Let c(s) be the first derivative of 25*s**4/4 - 11*s**3/3 - 11*s**2/2 + 11*s + 55. Determine 6*c(o) - 11*n(o).
7*o**3
Let y(u) be the second derivative of 1/10*u**5 - 5/6*u**3 + 0*u**4 + 0 + 5/2*u**2 - 9*u. Let m(s) = -4*s + 6*s + 4 - 6*s + s**3. What is -5*m(a) + 4*y(a)?
3*a**3
Let m(i) = -15*i**3 - 5*i**2 + 92*i + 1. Let y(h) = 23*h**3 + 8*h**2 - 138*h - 2. Give 8*m(x) + 5*y(x).
-5*x**3 + 46*x - 2
Let z(t) = -18 + 6 + 2 + 3 + 6 - t. Let v(y) = -2*y**3 + 4*y**3 - 2*y**2 + 3 + 3*y - y**3. Give -v(b) - 3*z(b).
-b**3 + 2*b**2
Let s(u) = -2*u**2 + 2*u + 6. Let y(g) = -9 + 16*g + 16 - 4*g**2 + 6 - 12*g. What is 9*s(a) - 4*y(a)?
-2*a**2 + 2*a + 2
Let o(k) = 7*k**3 + k. Let q(s) = 13*s**3 + s. Let t = -122 - -119. What is t*q(m) + 5*o(m)?
-4*m**3 + 2*m
Let l(k) = -k**2 + k. Suppose -4*i = -0*i - 8. Let n = 2 - i. Suppose 29 = -3*y - n*y + 2*h, 3 = 3*h. Let a(f) = -5*f**2 + 5*f - 1. Determine y*l(p) + 2*a(p).
-p**2 + p - 2
Let v(y) = y - 5. Let t(p) = 77*p - 22. Give -t(i) + 6*v(i).
-71*i - 8
Let n(b) = 1. Let r(k) = -2*k**3 - 3*k - 2. Suppose -2*w - 2*v = -256, 122 = -0*w + w + 4*v. Let q = w + -134. Give q*n(u) - r(u).
2*u**3 + 3*u - 2
Let m(g) = -7*g**3 - 21*g**2 + 2*g. Let u(t) = 2*t**3 + 7*t**2 - t. Give -3*m(c) - 8*u(c).
5*c**3 + 7*c**2 + 2*c
Let s be 8 + -9 + 8*3. Let v(l) = s*l + 0*l + 5 - 25*l. Let m(y) = y - 2. Calculate 5*m(d) + 2*v(d).
d
Let v(z) = 12*z - 8. Let q(l) = 3 - 2*l - 2*l + 0*l. Suppose -4530*h = -4487*h - 344. Give h*q(c) + 3*v(c).
4*c
Let c(a) = -a**2 + a + 7. Let j(p) = p - 7. Let r(y) = 2*c(y) + 3*j(y). Let s(m) = -m**2 + m + 1. Calculate -r(f) + 3*s(f).
-f**2 - 2*f + 10
Suppose y - m = 0, -4*y - m = -0*y + 10. Let v(p) = -p**2 + 2*p + 2. Let w(b) = -2*b**2 + 2*b + 2. What is y*w(l) + 3*v(l)?
l**2 + 2*l + 2
Let r(v) = -10*v**3 + 15*v**2 + 3*v - 4. Let n(s) = 13*s**3 - 15*s**2 - 4*s + 3. What is 3*n(h) + 4*r(h)?
-h**3 + 15*h**2 - 7
Let v(l) = 10*l**3 - 24*l**2 + 11. Let d(t) = t**3 + t**2 + 2. Determine -7*d(m) + v(m).
3*m**3 - 31*m**2 - 3
Let x(h) = -4*h + 48. Let k(b) = -12*b + 144. Calculate -5*k(q) + 16*x(q).
-4*q + 48
Let b = -2506 - -2500. Let i(a) = -9*a + 11. Let t(u) = 2*u + 3*u - 4 - 2. Determine b*i(v) - 11*t(v).
-v
Let q(v) = -646*v. Let u(h) = 86*h. Give -5*q(p) - 38*u(p).
-38*p
Let s(t) = 41*t**2 - t + 2. Let f(a) = 42*a**2 - a + 2. Determine 4*f(b) - 3*s(b).
45*b**2 - b + 2
Let j(o) = 2*o**2 + 2*o + 1. Let t(x) = -2*x**2 - 2*x - 1. Let f = -117 + 28. Let m = 124 + f. Suppose 0 = -9*c + 4*c + m. Give c*t(b) + 6*j(b).
-2*b**2 - 2*b - 1
Let i(o) = o. Let z be 137/5 + (-6)/15. Suppose 0 = -0*c - 2*c + 2*n + 14, 5*c - n = z. Let u(h) = -h - 6*h + 17*h + h - 5*h. Give c*i(m) - u(m).
-m
Let z(j) = 2*j - 1. Let h(m) = -53*m - 4. Give h(s) - 4*z(s).
-61*s
Let a = -52 - -49. Let i(q) = -8*q**3 - 3*q**2 - 1. Let j(n) = -9*n**3 - 4*n**2 - 1. Determine a*j(b) + 4*i(b).
-5*b**3 - 1
Let s(y) = 2*y**3 - 2*y**2 + 30*y. Let p(k) = -k**2 - k. Determine -4*p(l) + s(l).
2*l**3 + 2*l**2 + 34*l
Suppose 16*d + 66 = 194. Let p(l) = 2*l - 41. Let f(o) = -o + 14. Determine d*f(k) + 3*p(k).
-2*k - 11
Let k be (3 - 161/49)*-21. Let y(x) = 11*x + 3. Let v(d) = 66*d + 17. Determine k*v(p) - 34*y(p).
22*p
Let k(g) = -g - 56. Let b(p) = p + 29. Calculate 5*b(l) + 2*k(l).
3*l + 33
Let a(i) = -i**3 - i + 1. Let x(w) = -46*w**3 - 4*w + 3. What is -5*a(v) + x(v)?
-41*v**3 + v - 2
Suppose -3*k - 6 - 6 = 0. Suppose 36 + 90 = -7*r. Let v(x) = -13*x - 5. Let i(y) = -1. Let u(a) = 3*a - 3. Let o(n) = -4*i(n) + u(n). Determine k*v(j) + r*o(j).
-2*j + 2
Let k(d) = -d**2 - 9*d + 195. Let j be k(-19). Let o be (3 + -1)*(-1)/(-1). Let g(x) = 3*x - 6. Let c(a) = -a + 3. Calculate j*c(i) + o*g(i).
i + 3
Suppose -2*p - 106 = -2*d, -5*p - 5*d - 164 - 51 = 0. Let m(l) = 60*l**3 + 48*l - 48. Let j(v) = -v**3 - v + 1. Calculate p*j(w) - m(w).
-12*w**3
Let f = 7 + -3. Let w(p) = -4 - 2 + 3*p - f*p. Suppose -18*a - 12*a + 180 = 0. Let c(u) = -2*u - 13. Give a*c(o) - 13*w(o).
o
Let y(m) = 7*m - 45. Let o(t) = 5*t - 45. Calculate -4*o(g) + 3*y(g).
g + 45
Let f(y) = 4*y - 1. Let t(m) = 0*m + 0*m + 6 - 8*m + m - 4. Calculate 5*f(r) + 3*t(r).
-r + 1
Let z(t) = -243*t**3 + 5 - 7 + 244*t**3. Let x(h) = h**3 - 3. Let k(j) = -2*j - 1. Let f be k(1). Give f*z(o) + 2*x(o).
-o**3
Let y(v) = -2*v. Let d(o) = -4*o. Let f(a) = -d(a) + 5*y(a). Let r(h) = h. Calculate 6*f(m) + 45*r(m).
9*m
Let j(v) = -32*v**2 - 3*v + 4. Let u(k) = 63*k**2 + 7*k - 10. What is -5*j(z) - 2*u(z)?
34*z**2 + z
Let q(y) = -5*y**2 - 4*y - 7. Let x(h) = h**2 - 10*h + 24. Let d be x(7). Let o(u) = -u**2 - u - d - 7 + 9. Give -6*o(p) + q(p).
p**2 + 2*p - 1
Let h(j) = 17*j - 12. Suppose 0 = -4*i + 5*w - 3, 3*i = -9*w + 11*w - 4. Let a(b) = -4*b + 3. Let f be 175/(-21) - (-4)/(-6). Calculate f*a(y) + i*h(y).
2*y - 3
Let h(k) be the second derivative of k**4/6 - k**3/2 - 3*k**2/2 - 7*k + 10. Let v(b) = b**2 - 2*b - 3. Calculate 3*h(a) - 4*v(a).
2*a**2 - a + 3
Let o(a) = -20*a - 6. Let q(n) = -7*n - 2. Determine 6*o(l) - 17*q(l).
-l - 2
Let k(d) be the second derivative of 15*d - d**2 + 0 + 0*d**3 - 1/6*d**4 - 3/20*d**5. Let a(r) = r**3 + 1. Let q be (1/(-2))/((-2)/4). Calculate q*a(z) + k(z).
-2*z**3 - 2*z**2 - 1
Let l(d) = -23*d**2 - 17. Let j(c) = -8*c**2 - 2*c - 1. Let i(y) = -10*y**2 - 3*y. Let h(x) = -2*i(x) + 3*j(x). Calculate 34*h(g) - 6*l(g).
2*g**2
Let l(n) = -5*n + 2. Let g(t) be the second derivative of 2*t**3/3 - t**2/2 - 68*t. Give 4*g(z) + 3*l(z).
z + 2
Let t(i) = i**3 + 6*i**2 + 6*i - 4. Let r = 402 - 409. Let v(c) = c**3 + 7*c**2 + 7*c - 5. What is r*t(s) + 6*v(s)?
-s**3 - 2
Let g(b) = -b**3 - 5*b**2 - 2*b - 2. Let t(i) = -1335*i**3 + 1334*i**3 + 3 - i - 6 - i - 6*i**2. Determine 6*g(j) - 5*t(j).
-j**3 - 2*j + 3
Let l(j) = 2*j + 251. Let h(z) = -z - 84. Give -8*h(d) - 3*l(d).
2*d - 81
Let i(o) = -2*o**3 - 2*o - 4. Suppose -6 = -3*m + 6. Let r(q) = -5*q**3 - 9 - m*q + q - q. Let w = -641 + 644. What is w*r(n) - 7*i(n)?
-n**3 + 2*n + 1
Let d(n) = -11*n**2 - 29*n + 5. Let s(r) = -10*r**2 - 29*r + 4. What is 4*d(h) - 5*s(h)?
6*h**2 + 29*h
Let n(x) = -5*x**2 - 3*x + 9. Let k(d) = 4*d**2 + 3*d - 10. Calculate 7*k(s) + 6*n(s).
-2*s**2 + 3*s - 16
Let g be 1*1/(-3) - 49/(-21). Let r(x) be the first derivative of 7 - 3/2*x**g + 7*x. Let q(m) = -8*m + 20. What is -6*q(v) + 17*r(v)?
-3*v - 1
Let u(k) = k + 3. Let b(o) be the third derivative of -o**3/3 + 3*o**2 + 16. Calculate -3*b(r) - 2*u(r).
-2*r
Suppose 3*z - 7*z - 12 = -0*z. Let s(n) = -3*n - 4. Let w(a) = -1 - a**2 + a - 2 + 4. Give z*w(l) - s(l).
3*l**2 + 1
Let x(w) = -8*w**2 - 3*w + 3. Let i(c) = -23*c**2 - 8*c + 9. Calculate 4*i(b) - 11*x(b).
-4*b**2 + b + 3
Let b(o) = 7*o**3 + 4*o**2 + 129*o + 5. Let g(x) = -3*x**3 - x**2 - 64*x - 2. Calculate -2*b(k) - 5*g(k).
k**3 - 3*k**2 + 62*k
Let g(n) = 842*n**3 + 7*n. Let s(d) = -421*d**3 - 4*d. Give -4*g(p) - 7*s(p).
-421*p**3
Suppose 337 + 13 = -10*d. Let v(x) = -2*x + 3. Let j(l) be the first derivative of -25*l**2/2 + 35*l + 80. Give d*v(r) + 3*j(r).
-5*r
Let h(w) = -5*w**3 + 5*w**2 + 6*w - 10. Let v(u) = 10*u**3 - 11*u**2 - 12*u + 21. Let k(q) = -13*h(q) - 6*v(q). Let o(x) = -x + 1. Give k(n) - 6*o(n).
5*n**3 + n**2 - 2
Let r(g) = 2*g**2 - 2*g - 5 + 2*g + 4. Let b(v) be the first derivative of -v**3 + v - 47. Determine -5*b(d) - 8*r(d).
-d**2 + 3
Let c(g) = -104*g**2 - 17*g + 13. Let p(l) = 26*l**2 + 4*l - 3. Calculate 6*c(z) + 26*p(z).
52*z**2 + 2*z
Let p(b) be the third derivative of -b**4/8 - b**2 + 98*b. Let w(m) = 3*m + 4. Let q(l) = -2*l - 3. Let o(v) = 4*q(v) + 3*w(v). What is 2*o(c) + p(c)?
-c
Let a(u) = 11*u**2 - 4*u - 9. Let g be 11 + 8 + 0/1. Let m = g - 23. Let d(p) be the first derivative of -5*p**3/3 + p**2 + 4*p + 2. Determine m*a(v) - 9*d(v).
v**2 - 2*v
Let x(d) = 7*d**3 - 5*d + 5. Let n(w) = 4*w**3 - 3*w + 3. Let q = 78 + -24. Let a = q + -51. What is a*x(f) - 5*n(f)?
f**3
Let o(g) = -182*g - 1. Let h(b) = -732*b - 4. Determine 2*h(m) - 9*o(m).
174*m + 1
Let r(c) = -41*c + 93. Let f(w) = -15*w + 31. Determine -11*f(q) + 4*r(q).
q + 31
Let a(x) = -x - 538. Let w(b) = -2. Calculat