2*p - 2. What is v*y(i) - 5*z(i)?
-i - 1
Let c(d) = 9*d**3 + 2*d. Let w(j) = -j**3 + 13*j**2 + 555*j - 53. Let n be w(-18). Let y(l) be the second derivative of -l**3/6 + l. What is n*c(h) + 2*y(h)?
9*h**3
Let c(b) = 99*b**2 + 4*b - 4. Let n(z) = 4*z**2 + z - 1. Calculate c(l) - 4*n(l).
83*l**2
Let k(s) = 71*s + 50. Let r(d) = 37*d + 23. Calculate 6*k(m) - 13*r(m).
-55*m + 1
Let g(o) = 578*o**2 + 2*o - 3. Let s(f) = 1157*f**2 + 5*f - 8. Give 5*g(w) - 2*s(w).
576*w**2 + 1
Let x(f) = -3*f**3 + f**2 + f. Let n(q) = -45*q**3 + 15*q**2 + 12*q. What is n(c) - 12*x(c)?
-9*c**3 + 3*c**2
Let a(c) = 1279*c**2 + 7*c - 2. Let b(d) = -1280*d**2 - 9*d + 2. Give 5*a(g) + 4*b(g).
1275*g**2 - g - 2
Let i(g) = -2*g**3 + 959*g**2 + 3*g - 9. Let s(m) = -m**3 - 8*m**2 + m - 3. Calculate i(z) - 3*s(z).
z**3 + 983*z**2
Let z(w) = 7*w + 5. Suppose -76 = 6*l - 40. Let y(i) = -4*i - 3. Let b = -12 - -17. Suppose 5*g + b = -50. Calculate g*y(a) + l*z(a).
2*a + 3
Let z(k) = 6*k**3 - 6*k + 2. Suppose 123*a - 65*a = 93*a - 70. Let d(x) = -5*x**3 + 6*x - 1. What is a*z(y) + 3*d(y)?
-3*y**3 + 6*y + 1
Let l(j) = 3*j**3 + 32*j**2 + 4*j + 1409. Let w(n) = 12*n**3 + 120*n**2 + 15*n + 5634. Determine -15*l(f) + 4*w(f).
3*f**3 + 1401
Let f(c) = 6*c**2 + 4*c - 21. Let w(v) = -v**2 + 22*v - 1. Let k(h) = 7*h**2 - 131*h + 5. Let u(d) = k(d) + 6*w(d). Calculate -f(q) + 4*u(q).
-2*q**2 + 17
Let j(a) = 37*a**3 + 5*a**2 - 21*a - 21. Let z(w) = -w**3 + w**2 - 4*w - 1. What is -j(b) + 5*z(b)?
-42*b**3 + b + 16
Let b(c) = -210*c**3 - 4*c**2 - 2*c - 4. Let v(j) = 419*j**3 + 10*j**2 + 5*j + 9. Determine 5*b(i) + 2*v(i).
-212*i**3 - 2
Let s(l) = -11*l. Suppose -74*c - 3*v - 58 = -76*c, 4*c - 120 = 5*v. Let a(f) = 98*f. What is c*s(g) + 4*a(g)?
7*g
Let g(u) = 7236*u**2 - 90*u - 90. Let l(h) = -329*h**2 + 4*h + 4. Give -2*g(k) - 45*l(k).
333*k**2
Let w(d) = 2*d + 18. Let h(y) = -5*y - 17. Let j(z) = -h(z) - w(z). Let f(b) = -2*b + 1. What is -5*f(i) - 2*j(i)?
4*i - 3
Let d(r) = -9*r**3 + 6*r**2 - 6*r - 6. Let y = 3945 - 3939. Let m(i) = i**3 - i**2 + i + 1. Calculate y*m(o) + d(o).
-3*o**3
Let q be -58 - (-105 + 4 - -42). Let b(m) be the second derivative of m**2/2 - 2*m. Let l(o) = -3*o + 0*o - 8 + 2*o. Determine q*l(f) + 5*b(f).
-f - 3
Suppose -69 = -4*d - b, 4*d - 84 = -4*b - 0*b. Let i(z) = 7 - d - z + 0. Let g be i(-8). Let s(f) = -7*f + 4. Let u(o) = -o + 1. What is g*s(l) + 5*u(l)?
2*l + 1
Let c(d) = 4386*d**2 - 748*d - 748. Let k(z) = 1090*z**2 - 187*z - 187. Let i(a) = 4*c(a) - 17*k(a). Let v(j) = 21*j**2 - 4*j - 4. Determine 4*i(w) + 187*v(w).
-17*w**2
Let t(v) = -v + 46. Let s(y) = 4*y - 94. What is 3*s(z) + 5*t(z)?
7*z - 52
Let x(h) = -h**2 - 17*h + 819. Let z(a) = a**2 + 20*a - 820. Determine -6*x(r) - 5*z(r).
r**2 + 2*r - 814
Let u(w) = -3*w + 1. Let r(o) be the second derivative of -4*o**3/3 + 2*o**2 - o - 8. What is 2*r(d) - 7*u(d)?
5*d + 1
Let f(p) = -2*p**3 + 2*p**2 + p - 3. Suppose 16 + 28 = -4*t + 2*w, t + 32 = -3*w. Let u(y) = -4*y**3 + 5*y**2 + 2*y - 7. Give t*f(q) + 6*u(q).
4*q**3 + 2*q**2 - 2*q
Let o(g) = -g**3 - g**2 - 8*g. Let v(b) = -2*b**3 - b**2 - 7*b. Suppose 35 = l + 5*y, 66 = 4*y + 42. Determine l*o(p) - 6*v(p).
7*p**3 + p**2 + 2*p
Let v(p) = 23*p**2 - 10*p - 56. Let x(z) = -11*z**2 + 5*z + 31. Let i(t) = -4*v(t) - 7*x(t). Let s(h) = 23*h**2 - 8*h - 11. Calculate 8*i(c) + 5*s(c).
-5*c**2 + 1
Let n(m) = 14*m**3 - 6*m**2 + 8*m - 8. Let x(r) = r**3 - r**2 + r - 1. Let q be (-5)/(-4)*140/175. What is q*n(j) - 8*x(j)?
6*j**3 + 2*j**2
Let q = 133 + -139. Let n(o) = -9*o - 1 - 2*o + 7*o. Let t(i) = 2*i - 8*i - 5*i - 3. Calculate q*t(p) + 17*n(p).
-2*p + 1
Suppose 5*u - 18 = 2*u. Suppose 3*g - 75 = u*g. Let t(z) = 5*z. Let h be (2/6)/((-2 + 0)/(-24)). Let s(x) = 30*x. Determine g*t(c) + h*s(c).
-5*c
Let k be (-11)/((-462)/56)*3. Let n(o) = -3*o**2 - 5*o + 9. Let z(i) = -6*i**2 - 9*i + 17. What is k*z(b) - 7*n(b)?
-3*b**2 - b + 5
Let p(d) = 4 - 4 + 6*d - 3. Let k(z) = 7*z - 2. Let s(a) = a**3 + a**2 - 4*a - 5. Let u be s(0). What is u*p(j) + 4*k(j)?
-2*j + 7
Let f(d) = -d**2 - 12*d - 22. Let q be f(-8). Suppose q*y - 30 = 20*y. Let n(v) = -9*v**2 - 14*v + 3. Let a(m) = -3*m**2 - 5*m + 1. Calculate y*n(j) + 8*a(j).
3*j**2 + 2*j - 1
Let t(f) = -f**2 - f + 1. Let c(m) = -5*m**2 - 6*m + 5. Let z = 659250 + -659251. Suppose -2*o + 3*o = a + 8, -3*o - a + 4 = 0. Calculate o*t(s) + z*c(s).
2*s**2 + 3*s - 2
Let c(u) = 107*u**2 + 160*u - 40. Let o(w) = -18*w**2 - 26*w + 6. Give -6*c(n) - 37*o(n).
24*n**2 + 2*n + 18
Let i(q) be the third derivative of 55*q**4/24 - 2*q**3/3 - 225*q**2 + 2*q. Let b(t) = 27*t - 2. Give -7*b(z) + 4*i(z).
31*z - 2
Let f(d) = -6*d - 2. Let c(a) = -39*a - 219. What is -c(s) + 4*f(s)?
15*s + 211
Let x(v) = -651*v - 122. Let o(w) = -119*w - 2. Calculate 6*o(n) - x(n).
-63*n + 110
Let u(s) = 3*s**3 + 4*s**2 + 6. Suppose -8*q = -218 - 78. Suppose 0 = -12*k + 97 - q. Let r(d) = -4*d**3 - 5*d**2 - 6. What is k*u(m) + 4*r(m)?
-m**3 + 6
Let z(p) = -3732*p**3 + 20*p**2. Let a(q) = 2*q**3 - q**2. Determine -20*a(n) - z(n).
3692*n**3
Let c(f) = 5*f + 2. Let k(w) = -6*w - 1. Let b be (-147)/84 + (-36)/16. What is b*k(i) - 5*c(i)?
-i - 6
Suppose l = 5*u + 39, 5*l - 49 + 8 = 3*u. Let d(s) = 4*s - 1. Let m(k) be the third derivative of -13*k**4/24 + k**3/2 + 15*k**2. Determine u*d(f) - 2*m(f).
-2*f + 1
Let m(p) = -p**3 + 4*p**2 - 2. Let i be m(3). Let v(h) = i*h**2 - 21*h - 34*h**2 + 30*h. Let k(t) = -14*t**2 + 5*t. What is -9*k(f) + 5*v(f)?
-9*f**2
Let d be 115/(-920) + (-142)/16. Let t(f) = f - 24. Let n(p) = -5*p + 96. What is d*t(j) - 2*n(j)?
j + 24
Suppose 0 = 4*f - 4*b - 192, 0 = 5*f + 3*b + 65 - 273. Suppose 0 = -6*u - 62 + f. Let x(y) = y - 4. Let g(n) = 2*n - 5. Calculate u*x(q) + 2*g(q).
q + 2
Let h(v) = -9*v**2 - 187*v + 41. Let r(u) = 4*u**2 + 102*u - 21. Calculate -6*h(x) - 11*r(x).
10*x**2 - 15
Let s = 114 + -49. Let w = s - 68. Let p(o) = -3 + o**2 - 6*o**2 + 5*o + 3*o**2. Let q(k) = 5*k**2 - 11*k + 7. Give w*q(h) - 7*p(h).
-h**2 - 2*h
Suppose 2 = 4*b + 6. Let n(m) = m**3 + 6*m**2 - 2*m - 7. Let l be n(-6). Let w(f) = -2*f**2 + 6*f + 4. Let q(x) = x + 1. What is b*w(d) + l*q(d)?
2*d**2 - d + 1
Suppose -5*l + 12 = -3. Let r be 52/(-12) + 1/l. Let o(z) = z**2 + 4. Suppose 185*m - 217*m - 96 = 0. Let b(h) = -h**2 - 3. Determine m*o(g) + r*b(g).
g**2
Let t(o) = 145*o + 4. Let x(m) = 214*m + 4. What is 7*t(s) - 5*x(s)?
-55*s + 8
Let x(p) = 1733*p**2 - 6*p + 18. Let y(b) = -95316*b**2 + 329*b - 987. Give 329*x(j) + 6*y(j).
-1739*j**2
Let t(a) = 63*a + 9605. Let d(q) = 29*q + 4801. Determine 13*d(k) - 6*t(k).
-k + 4783
Suppose 9*q - 125 = -22*q - 528. Let t(r) = -27*r**3. Let y(a) = 55*a**3. Give q*t(n) - 6*y(n).
21*n**3
Suppose -m = -6*m + 20. Let t(v) = 12*v + 13. Let f(g) be the second derivative of g**3/2 + 3*g**2/2 + 38*g - 7. What is m*t(c) - 18*f(c)?
-6*c - 2
Suppose -10*w + 8*w - 6 = -5*v, -2*v = 5*w + 15. Let q(g) = 5*g**3 - 3*g + 2. Let a(h) = -6*h**3 + 2*h - 3. What is w*a(t) - 4*q(t)?
-2*t**3 + 6*t + 1
Let x(a) = -5*a**3 + 4*a**2 + 3*a + 2. Let q = 785 + -781. Let f(z) = -2*z**3 - 3 + q*z**3 - 8*z**2 - 12*z**3 + 19*z**3 - 5*z. Determine 3*f(c) + 5*x(c).
2*c**3 - 4*c**2 + 1
Let w(q) = -2*q**2 - 5*q. Let l(t) = -18*t**2 + 46*t. Determine l(z) + 5*w(z).
-28*z**2 + 21*z
Let x(h) be the first derivative of 37*h**2/2 - 3*h - 575. Let z(d) = 18*d - 1. Calculate 3*x(b) - 7*z(b).
-15*b - 2
Let g be -1 + -5 - ((-1)/(-6) - 551/(-114)). Let b(j) = 2*j + 25. Let u(p) = 10*p + 124. Give g*b(c) + 2*u(c).
-2*c - 27
Let d(w) = 25*w**3 + 15*w**2 + 15. Let h(n) = n**2 + 1. Suppose 0 = -2*f + 3*p - 27, 255 = -12*f - 4*p + 71. Calculate f*h(v) + d(v).
25*v**3
Let y(a) = 1202*a**3 - a**2 - 1195*a**3 + 8*a**2 - 5*a**2. Let l(q) = -8*q**3 - 3*q**2 + q - 1. Calculate 2*l(s) + 3*y(s).
5*s**3 + 2*s - 2
Let p = 22925 - 22923. Let i(k) = 14*k - 1. Let h(c) = c. Determine p*i(g) - 22*h(g).
6*g - 2
Let r(l) = 3*l**3 + 9*l + 13. Let h = -3200 + 3187. Let w(n) = n**3 + 4*n + 6. Determine h*w(g) + 6*r(g).
5*g**3 + 2*g
Let i(n) = -2*n**3 + 466*n**2 - 14*n - 7. Let l(s) = s**3 - 156*s**2 + 4*s + 2. What is -2*i(c) - 7*l(c)?
-3*c**3 + 160*c**2
Let w(b) = -b**2 + 1. Let d(c) = -2*c**2 + 5. Let l(m) = -d(m) + 3*w(m). Let k(v) = -2*v**2 + v - 3. What is 2*k(h) - 3*l(h)?
-h**2 + 2*h
Let