. Determine d*c(y) + 3*z(y).
-y - 3
Let y(a) = -7*a**2 - 7*a + 5. Let i(k) = -15*k**2 - 15*k + 11. Suppose -86 = -7*z + 5. Suppose 0 = -2*j + j + z. Give j*y(w) - 6*i(w).
-w**2 - w - 1
Let i(y) = -15*y**2 + 8*y + 12. Let n(k) = -2*k. Calculate -i(h) - 4*n(h).
15*h**2 - 12
Suppose -2*i = 5 + 5. Let z(r) = r**3 + 5*r - 5. Let u(a) = a**3 + 6*a**2 - a - 4. Let m be u(-6). Let c(p) = p**3 + 2*p - 2. Determine i*c(d) + m*z(d).
-3*d**3
Let d(f) = -8*f - 7. Let o(c) = -c - 1. Let q = -15 - -17. Suppose 0 = 2*l - 3*m + 6*m - 33, -q*m = 5*l - 99. What is l*o(w) - 3*d(w)?
3*w
Let f(h) be the third derivative of -7*h**6/120 - 7*h**5/12 + h**2 + 12. Let p(u) = u**3 + 6*u**2. Give 6*f(t) + 35*p(t).
-7*t**3
Let t(s) = -s**2 - s - 5. Let r(u) = -30*u**2 + 6*u + 30. Calculate r(h) + 6*t(h).
-36*h**2
Let c(d) = -3*d**2 - 2. Suppose 33 + 15 = 3*y. Suppose -9*j = -5*j + y. Let s(m) = 4*m**2 + 3. What is j*s(t) - 6*c(t)?
2*t**2
Let o(u) = 2*u**2 + 8*u - 6. Let t(c) = -c - 1. Determine o(d) - t(d).
2*d**2 + 9*d - 5
Let o(t) = 4*t**3 - t**2 - t - 7. Let p(q) = 8*q**3 - 2*q**2 - 2*q - 13. Give 5*o(u) - 2*p(u).
4*u**3 - u**2 - u - 9
Let l(d) = d**2 + 2*d + 8. Let g(f) = 17 + 21*f + 5*f**2 + 7 + 17 - 10*f + 0*f**2. Determine -2*g(o) + 11*l(o).
o**2 + 6
Let y(z) = -5*z + 10. Let w(o) = 4*o - 2. Let f(g) = -19*g + 8. Let n(r) = f(r) + 5*w(r). Give 22*n(d) + 4*y(d).
2*d - 4
Let q(f) = 3401585*f**3 + 32890*f**2. Let g(i) = -1241*i**3 - 12*i**2. Give 16445*g(c) + 6*q(c).
1265*c**3
Let u(o) = -4*o**2 + 4*o + 2. Let c(p) = -13*p**2 + 13*p + 7. Suppose 5*g - 200 = 5*i, -i = -2*i + 3*g - 40. Let j = i - -33. Determine j*u(v) + 2*c(v).
2*v**2 - 2*v
Let z(r) = -64*r + 23*r + 2 + 23*r + 20*r + 3*r**2. Let y(o) = -13*o**2 - 9*o - 9. What is 4*y(l) + 18*z(l)?
2*l**2
Let l(f) = 2*f**2 - 3*f. Suppose 10*v = 16*v + 126. Let r be 430/70 + 3/v. Let q(n) = 18*n**2 - 26*n. Determine r*q(t) - 52*l(t).
4*t**2
Let f(d) = 4*d**3 - 3*d**2 + 2*d - 2. Let u(o) = -9*o**3 + 7*o**2 - 5*o + 5. Suppose 5*q - 73 = -108. What is q*f(a) - 3*u(a)?
-a**3 + a - 1
Let p(m) = -m - 4. Let t be p(-6). Let v = 30 + -28. Let s(u) = u - 1 - v*u + 1. Let q(j) = -j. Calculate t*s(w) - q(w).
-w
Let w(y) = -36*y - 4*y**2 - 33*y + 65*y. Let z(c) = -3*c**2 - 3*c. Let p(k) = -2*k + 9*k**3 - 2 + k - 8*k**3 + k**2. Let j be p(-2). Give j*w(s) + 5*z(s).
s**2 + s
Let x(y) be the second derivative of 27*y - 1/3*y**3 + 0 + 1/2*y**2. Let j(h) = -2*h + 1. Suppose 4*g - 6 = -2*t, 4*t = -g + 9 + 10. What is t*x(z) - 6*j(z)?
2*z - 1
Let q(u) = 14*u**3 - 15*u**2 + 313*u - 3. Let c(b) = 6*b**3 - 6*b**2 + 156*b - 1. Calculate -5*c(p) + 2*q(p).
-2*p**3 - 154*p - 1
Let f(o) = -o**2 - o - 15. Let g(z) = 2*z**2 + 2*z + 30. Calculate -5*f(b) - 3*g(b).
-b**2 - b - 15
Suppose 46*z = 60*z - 182. Let s(g) = -4*g**2 + 6. Let l(h) = h**2. Let q(c) = -3*l(c) + s(c). Let u(m) = 15*m**2 - 13. Give z*q(a) + 6*u(a).
-a**2
Suppose 4*p + p - 20 = 0. Let k = 1 + -6. Let l(o) = -5*o**3 - 4*o**2 + 4. Let m(c) = -5*c**3 - 5*c**2 + 5. Give k*l(u) + p*m(u).
5*u**3
Let k(c) = -13*c**2 + 10*c + 6. Let w be ((-10)/(-20))/(2/(-8)). Let a(u) = 4*u**2 - 3*u - 2. Let m = -32 - -25. Determine m*a(d) + w*k(d).
-2*d**2 + d + 2
Let u(f) = 5*f**2 + 6*f + 18. Let i(v) = 4*v**2 + 5*v + 18. Determine -4*i(c) + 3*u(c).
-c**2 - 2*c - 18
Let v(n) = 3*n - 4. Let a(f) = -5*f + 6. Let j(g) = g - 10. Let q be j(3). Let m be (-4)/(-4) - 1*6. What is m*a(p) + q*v(p)?
4*p - 2
Suppose -6 = 6*n - 9*n. Let y(z) = 2*z**n + 4*z**2 + z**2 - 5. Suppose 3*u = -5*k - 0*u + 19, 4*k - 14 = -2*u. Let s(j) = 3*j**2 - 2. What is k*y(l) - 5*s(l)?
-l**2
Let g(l) = -2*l + 1. Let s(r) = 2*r + 19. Let q be s(-8). Let m(k) = 1 - 2*k - q + 5 - 2. What is 5*g(n) - 4*m(n)?
-2*n + 1
Let w(x) = -3*x**2 + 17. Suppose -2*l - 46 + 36 = 0. Let s(i) = 5 + 6 - 3*i**2 + i**2. Calculate l*w(y) + 8*s(y).
-y**2 + 3
Let p(l) be the first derivative of l**4/2 + 5*l**3/3 + 5*l - 32. Let h(r) = r**3 + 3*r**2 + 3. Suppose 8*t = 4*t - 12. What is t*p(v) + 5*h(v)?
-v**3
Let i(x) = 39933*x**2 + 1071. Let u(q) = -149*q**2 - 4. Determine 4*i(a) + 1071*u(a).
153*a**2
Let j(u) = -38*u**2 + 94. Let w(m) = 7*m**2 - 19. Give -2*j(v) - 11*w(v).
-v**2 + 21
Let b be (-8 + (10 - 3))*(-1 - 0). Let r(a) = -a + 1. Let m be (20/6)/(4/6). Let w(x) = 4*x - 3. What is b*w(o) + m*r(o)?
-o + 2
Let i(l) = 3*l**3 + 8*l**2 - 8*l. Let w(b) = 3445*b**2 - 4*b - 2*b**3 + 9*b - 3450*b**2. Calculate -5*i(a) - 8*w(a).
a**3
Let p(n) be the second derivative of -n**5/5 - n**4/4 + n**3/6 - n**2/2 + 120*n. Let j(t) = -11*t**3 - 8*t**2 + 3*t - 2. What is 3*j(i) - 8*p(i)?
-i**3 + i + 2
Let l be (-78)/66 + (-14)/(-77). Let k(r) = -3*r**3 + r**2 - 4*r - 1. Let j(f) = -f**3 + f**2 - f - 1. Determine l*k(u) + j(u).
2*u**3 + 3*u
Let a(o) = 2*o**2 + 7. Let t(q) = -1. What is a(x) - t(x)?
2*x**2 + 8
Let v(g) = -7*g - 3. Let a(t) = 20*t + 8. Let d(m) = -5*a(m) - 14*v(m). Let k(s) = -s + 2. Calculate 4*d(x) - 5*k(x).
-3*x - 2
Let d(i) = 549*i**2 + 5*i - 8. Let k(u) = 365*u**2 + 3*u - 5. What is -5*d(v) + 8*k(v)?
175*v**2 - v
Let u(x) = -15*x**2 + 6. Let d(k) = 11 - 22*k**2 - 4 - 24*k**2 + 32*k**2. What is 4*d(y) - 5*u(y)?
19*y**2 - 2
Let w(m) = 5*m**2 - 8*m - 8. Let x(l) = -8*l - 14. Let z(i) = -i**2 + 15*i + 25. Let b(p) = -5*x(p) - 3*z(p). Give 8*b(j) - 5*w(j).
-j**2
Let h(b) = -b**2 - 2. Let q(k) = 2*k**2 + k + 3. Suppose 19 = 2*n - 3*a - 0*a, -2*a - 16 = -3*n. Calculate n*q(c) + 3*h(c).
c**2 + 2*c
Let q(s) = -s - 1. Let k(o) = -108*o - 66. Calculate -2*k(i) + 132*q(i).
84*i
Let t(s) = -s**2 - s - 1. Let f(n) = 129*n**2 + 6*n + 7. Calculate f(h) + 6*t(h).
123*h**2 + 1
Let j(u) = 34*u**3 - 88*u**2 - 17*u - 23. Let g(x) = -11*x**3 + 31*x**2 + 6*x + 8. What is -17*g(i) - 6*j(i)?
-17*i**3 + i**2 + 2
Let r be ((-30)/18 + 2)/(1/(-15)). Let h(j) = -5*j**3 + j + 4. Suppose 8 = f - 4. Let c(p) = 12*p**2 - 9*p**3 - f*p**2 + 7 + p. Determine r*h(s) + 3*c(s).
-2*s**3 - 2*s + 1
Let u(j) be the second derivative of -j**4/4 - j**3/6 - 5*j**2/2 + 794*j. Let x(o) = -3 + o**2 - 2*o - 5 - 6*o**2. Calculate -8*u(z) + 5*x(z).
-z**2 - 2*z
Let p(c) = 42*c**3 - 36*c**2 + 36*c - 36. Let r = -1716 + 1680. Let s(l) = 6*l**3 - 5*l**2 + 5*l - 5. Calculate r*s(x) + 5*p(x).
-6*x**3
Let b(t) = -14*t**3 + 10*t**2 - 11*t - 12. Let g(x) = -5*x**3 + 5*x**2 - 4*x - 4. What is 4*b(y) - 11*g(y)?
-y**3 - 15*y**2 - 4
Let k(y) = y**2 - y. Let o(w) = w**2 + 2*w - 1. Let f(c) = -10*c**2 - 14*c + 8. Let x(j) = f(j) + 8*o(j). Give k(n) + x(n).
-n**2 + n
Let h(w) = -19*w + 260. Let u(v) = -7*v + 86. Determine 6*h(q) - 17*u(q).
5*q + 98
Let c(d) = 8*d**3 + d**2 - 9*d + 7. Let z(x) = 13*x**3 - 10*x**3 - 1 + x - 4*x**3. Suppose -w - 6 = 3*g - 2*w, 4*w = 2*g + 4. Give g*c(q) - 14*z(q).
-2*q**3 - 2*q**2 + 4*q
Let t(f) = 69*f - 16. Let k(c) = -343*c + 86. Calculate -2*k(z) - 11*t(z).
-73*z + 4
Let q(b) = -2*b - 2. Let d(f) = 2*f + 3. Let h(l) = d(l) + 2*q(l). Let y(z) = 6*z + 2. Determine -8*h(n) - 3*y(n).
-2*n + 2
Let j(u) = u + 4. Let n(h) = -2*h**3 - 39*h**2 + 21*h - 6. Let y be n(-20). Let s(l) = -4*l - 17. What is y*j(k) - 6*s(k)?
-2*k - 2
Let s(w) = -9*w - 2. Let a(c) = -26*c - 6. Suppose -2*n = 2*o - 14, 5*o - 42 = 2*n - 14. Give o*a(q) - 17*s(q).
-3*q - 2
Let i(w) = 6*w + 3. Let z = -32 + 75. Suppose 4*d + z - 99 = 0. Let k(j) = 30*j + 14. Calculate d*i(y) - 3*k(y).
-6*y
Let k = -23 - -27. Let d(r) = r**2 - 13*r + 17. Let z be d(12). Let i(y) = -7*y**3 - 2*y**2. Let p(v) = 6*v**3 + 2*v**2. Calculate k*i(j) + z*p(j).
2*j**3 + 2*j**2
Let b(d) = -463*d**2 + 4*d. Let g(s) = -1851*s**2 + 18*s + 1. Give 9*b(a) - 2*g(a).
-465*a**2 - 2
Let u(t) = 4*t**2 - 7*t + 5. Let b(m) be the third derivative of -m**5/20 + m**4/4 - 2*m**3/3 - 24*m**2 - 2*m. Determine 7*b(r) + 6*u(r).
3*r**2 + 2
Let j(d) = 8*d**2 + 6*d + 6. Let o = 67 + -64. Suppose o*y = 51 - 33. Let c(n) = -9*n**2 - 7*n - 7. Give y*c(l) + 7*j(l).
2*l**2
Let q(f) = -61*f**3 + 13*f - 4. Let y(p) = 31*p**3 - 6*p + 2. Give -6*q(o) - 13*y(o).
-37*o**3 - 2
Let n(i) = -2*i - 231. Let a(x) = -3*x - 347. Calculate -5*a(l) + 7*n(l).
l + 118
Let f(o) = -o**2 - 1. Let n = 31 + -22. Suppose -3*j + n = 12. Let s(b) = 8*b**2 + 2*b + 7. Calculate j*s(k) - 6*f(k).
-2*k**2 - 2*k - 1
Let c(j) = 2*j**3 - 2*j**2 - 5*j. Let n(f) = f**3 + 3*f**2 + 14*f. Let z(s) = -3*s**2 - 12*s.