Let t(y) = -y**3 - y**2. Suppose 102*k - 88*k = 14. Let u(q) be the first derivative of -q**4 - 2*q**3 + 2*q - 2. Calculate k*u(x) - 6*t(x).
2*x**3 + 2
Let c(m) = -8*m**2 + 4*m - 3. Let o(z) = 1 - 4*z + 5 - 4 + 1 + z + 7*z**2. What is 3*c(g) + 4*o(g)?
4*g**2 + 3
Let s(t) = -390*t + 9. Let m(q) = -1. Give -6*m(b) - s(b).
390*b - 3
Let a(t) = -t - 16. Let g = -15 + 2. Let b be a(g). Let y(d) = -d**2 - 5*d - 1. Let u(h) = -3*h - 15*h**2 - 11*h**2 - 1 + 25*h**2. Determine b*y(l) + 5*u(l).
-2*l**2 - 2
Let b(u) = 7*u - 8. Let n(y) = -y + 1. Suppose 25 + 23 = -8*w. Let p(c) = c**2 + 2*c - 1. Let f be p(-2). Determine f*b(s) + w*n(s).
-s + 2
Let z(d) = 23*d**3 - 11*d**2 - 23. Let q = 2692 - 2692. Let y(j) be the first derivative of 8 - j**4 + q*j**2 + 4*j + 2/3*j**3. Give -34*y(m) - 6*z(m).
-2*m**3 - 2*m**2 + 2
Let z(b) = -2*b - 1. Let u(i) = 6. Let s(t) = -5. Let p(r) = -5*s(r) - 4*u(r). What is 6*p(j) + z(j)?
-2*j + 5
Let k(w) = -3*w**2 + 3*w + 11. Let l(p) = -p - 2. Calculate -k(x) - 4*l(x).
3*x**2 + x - 3
Let a(g) = -16*g**2 + 6*g - 6. Let r(d) = -17*d**2 + 5*d - 4. Give 4*a(p) - 5*r(p).
21*p**2 - p - 4
Let p(o) = 557*o**2 + 6 + 6*o + 565*o**2 - 12*o**3 - 1128*o**2 + 31*o**3. Let v(w) = -57*w**3 + 17*w**2 - 17*w - 17. Determine -17*p(d) - 6*v(d).
19*d**3
Let w(v) = v**2 - 23761 + 5*v + 2*v**2 + 23762. Let j(x) = 2*x**2 + 3*x + 1. What is 5*j(u) - 3*w(u)?
u**2 + 2
Let m(s) = 3*s**2 + 2*s - 24. Let n(x) = 1. Calculate -m(b) - 6*n(b).
-3*b**2 - 2*b + 18
Let v(u) = -101*u**2 + 11. Let p(a) = 151*a**2 - 16. What is -5*p(y) - 7*v(y)?
-48*y**2 + 3
Let z(l) = -6*l**2 + 2*l - 7. Let d(c) = -3*c**2 + c - 4. Suppose 12 = 193*f - 191*f. Calculate f*z(s) - 11*d(s).
-3*s**2 + s + 2
Let c(d) = -6*d**2 + 5*d**2 + 0 + d - 7 + 6. Let l(y) = 6*y**2 - 3*y + 3. Calculate -5*c(z) - l(z).
-z**2 - 2*z + 2
Suppose -4 = -v + 4*j, v - j = -2*j - 1. Suppose v = -3*z - 5*z - 48. Let w(p) = p**3 + 2*p**2 + 6*p. Let y(t) = t. Determine z*y(n) + w(n).
n**3 + 2*n**2
Let i(w) be the second derivative of w**4/12 + w**3/6 + 22*w + 3. Let r(n) = 50*n**2 + 60*n. Determine -60*i(y) + r(y).
-10*y**2
Let o(u) = u - 12. Let p(n) = -1778*n + 504. Calculate 42*o(l) + p(l).
-1736*l
Let l(o) = -11*o - 11. Let u(m) = 2. Let j = 0 + -6. Let c(h) = 0 + 1 - 21*h + 1 + 20*h. Let y(z) = j*u(z) + 4*c(z). What is 6*l(i) - 17*y(i)?
2*i + 2
Let o(c) = -c. Let l(g) = 11*g. Let h(t) = -t**2 - 9*t + 53. Let p be h(-13). Give p*l(i) + 4*o(i).
7*i
Let p(u) = -324*u**3 - 5*u**2 - 9*u + 9. Let i(z) = -163*z**3 - 2*z**2 - 4*z + 4. What is 9*i(y) - 4*p(y)?
-171*y**3 + 2*y**2
Let x(z) be the first derivative of -2*z**2 - 2*z - 41. Let i(m) = -17*m - 9. Give -6*i(f) + 26*x(f).
-2*f + 2
Let c(r) = 131*r**2 - 8. Let w(a) = -261*a**2 + 14. Calculate -7*c(k) - 4*w(k).
127*k**2
Let d(k) = 28 + 0*k - 4*k - 7 - 22 + 5*k. Let x(l) = -2*l**3 + l - 2. Let f be (-3)/((-3)/2) + -4. Determine f*x(c) + 4*d(c).
4*c**3 + 2*c
Let v(x) = 4*x - 1. Let f = 32 + -29. Let o(j) = 0*j - 21*j - f + 7. Determine 2*o(u) + 11*v(u).
2*u - 3
Let p(k) = 5292*k**3 - 27*k**2 + 27*k + 27. Let z(s) = 407*s**3 - 2*s**2 + 2*s + 2. Calculate 2*p(w) - 27*z(w).
-405*w**3
Let m = 446 + -439. Let i(k) = -13*k**2 + 7*k. Let f(a) = 13*a**2 - 6*a. Give m*f(q) + 6*i(q).
13*q**2
Let j(h) = 4*h - 3. Let f(x) = 4*x - 4. Calculate 2*f(g) - 3*j(g).
-4*g + 1
Let h(l) = -l**2 + 6*l - 4. Let b(x) be the first derivative of -5*x - 2/3*x**3 - 21 + 7/2*x**2. What is -3*b(d) + 4*h(d)?
2*d**2 + 3*d - 1
Suppose 1 - 7 = -2*k. Let i(c) = -4*c - 3*c**3 + 0*c**3 + k - 7. Suppose -2*u = u + 21. Let v(w) = -5*w**3 - 7*w - 7. What is u*i(y) + 4*v(y)?
y**3
Let t(v) = 6*v + 5. Suppose -27 + 1 = -13*p. Let a(h) = h + 1. Calculate p*a(z) - t(z).
-4*z - 3
Let l(k) be the third derivative of k**4/6 + k**3/3 + 8*k**2. Let y(r) = -r - 1. Suppose -3*f + 18 = 2*f + 3*g, -8 = 2*f + 5*g. Give f*y(i) + l(i).
-2*i - 4
Let u(g) = g**2 - 2*g + 2. Let v = -6 + 8. Let x(z) = -3*z**2 + 7*z - 7. Let y be -2*(10 - 7 - (-82)/(-4)). Suppose 0 = -0*j - 5*j + y. What is j*u(l) + v*x(l)?
l**2
Let v(n) = 4*n + 17. Let d(u) = -6*u - 34. Calculate 3*d(b) + 5*v(b).
2*b - 17
Let j(t) = 2*t**2 - 2*t - 3. Suppose 0 = -16*u + 58 - 26. Let r(w) = -2*w**2 + 2*w + 4. What is u*r(z) + 3*j(z)?
2*z**2 - 2*z - 1
Let y(n) = -2*n**2 - 6*n + 2. Let z(p) = 4*p**2 + 13*p - 5. Let c = -967 - -965. What is c*z(b) - 5*y(b)?
2*b**2 + 4*b
Let v(s) = s - 23. Let l be v(21). Let u(r) = 13*r**2 - 4*r - 7. Let w(q) = 4*q**2 - q - 2. Determine l*u(t) + 7*w(t).
2*t**2 + t
Let f = 132 - 133. Let b(a) = a**2 + a + 1. Let s(d) = 6*d**2 + 2*d + 4. Calculate f*s(r) + 3*b(r).
-3*r**2 + r - 1
Let n(a) = -239*a**3 + 6. Let o(s) = 477*s**3 - 11. Give 5*n(r) + 3*o(r).
236*r**3 - 3
Let v = -483 - -484. Let c(d) be the first derivative of d**4/4 + d**3/3 - d**2/2 + 1. Let b(x) = 3*x + 3*x**2 - x - x**3 - 5*x**2. Give v*b(i) + 2*c(i).
i**3
Suppose -j + 6 = -2*h - 4, h + 5*j + 5 = 0. Let s(f) = -f**3 + 6*f**2 + 4. Let d(g) = -2*g**3 + 12*g**2 + 9. Calculate h*s(m) + 2*d(m).
m**3 - 6*m**2 - 2
Let n be (-1)/3 + 16/12 + -2. Let f be ((-5)/(-15))/(n/12). Let l(x) = 5*x - 2. Let b(g) = -11*g + 4. Give f*b(p) - 9*l(p).
-p + 2
Let s(y) = -5*y**2 - 5*y + 1. Let o = -2 - -8. Suppose -o*a + 3 = -45. Suppose 2*k + 2 = -a. Let w(d) = -9*d**2 - 9*d + 2. What is k*s(c) + 3*w(c)?
-2*c**2 - 2*c + 1
Let v(w) = -8*w**2 - w + 1. Let f = -1 - -19. Suppose -s + 2*s - f = 0. Let n(y) = -y**2. Calculate s*n(b) - 2*v(b).
-2*b**2 + 2*b - 2
Let h(c) = 6*c - 1. Let w(z) = -910*z + 140. Calculate 140*h(x) + w(x).
-70*x
Let y(s) be the second derivative of -s**3/2 + 38*s. Let x(f) = -5*f. Suppose -6 = -4*p + 10. Give p*y(k) - 3*x(k).
3*k
Let g(a) be the second derivative of -3*a**3/2 + a**2 - a + 5. Let u(h) = -12*h**2 - 1. Let n be u(-1). Let t(f) = 4*f - 1. What is n*t(b) - 6*g(b)?
2*b + 1
Let c(s) = -4*s**3 + 2*s**2 + 2*s. Suppose 25 = 5*t - 4*b, -4*t - 4*b + 5*b + 20 = 0. Let y(f) = 2*f**3 - 5*f**2 + 0*f**2 + 7*f**3 - 5*f. Give t*c(r) + 2*y(r).
-2*r**3
Let s(n) = -188*n + 45. Let w(r) = 189*r - 54. Determine -6*s(m) - 5*w(m).
183*m
Let j = -97 + 100. Let s(v) = -v - 1. Let t(p) = -p + 4. Let a(x) = -1. Let c(u) = -10*a(u) - 2*t(u). What is j*c(w) + 4*s(w)?
2*w + 2
Suppose -4*r = 759 - 31. Let v be (-2576)/r + (-2)/13. Suppose 21 = -7*n - v. Let d(i) = 3*i + 8. Let a(x) = -2*x - 5. What is n*d(k) - 8*a(k)?
k
Let g(a) = 1. Suppose 0 = 2*x - 3*b + 2, -5 + 0 = 5*x - 4*b. Let m(o) = 3*o**2 + o + 7. Give x*m(q) + 5*g(q).
-3*q**2 - q - 2
Let u(h) = -105*h**2 + 42*h. Let l(n) = 26*n**2 - 10*n. What is 21*l(c) + 5*u(c)?
21*c**2
Let c(p) = -20*p - 437. Let h(z) = 11*z + 219. Give -6*c(b) - 11*h(b).
-b + 213
Let y(x) = -4*x**2 - 6*x - 9. Let p(r) = -r**2 + r**2 + 5*r**2 + 10 + 7*r. Suppose -349 = -36*u - 97. Give u*y(o) + 6*p(o).
2*o**2 - 3
Let r(q) = -513*q + 18. Let w(h) = -257*h + 8. What is -4*r(m) + 9*w(m)?
-261*m
Let t(m) = 10*m - 2. Let v(x) = -11*x + 3. Suppose 2*u = 4, -4*r + 1 = -r - 4*u. Determine r*t(d) + 2*v(d).
8*d
Let x(l) = -13*l**3 + 3*l**2 - 3*l. Let u(q) = 8*q**3 - 22 - 34*q**3 + 14 + 8 - 7*q + 7*q**2. Determine 3*u(v) - 7*x(v).
13*v**3
Let c(v) = v**2 - 6*v. Let x(g) be the second derivative of g**4/12 - 5*g**3/6 + g. Suppose -16 = -r - 12, 3*m + 31 = 4*r. Give m*x(s) + 4*c(s).
-s**2 + s
Let j(l) = 28*l**2 - 8*l - 5. Let b(m) = -28*m**2 + 9*m + 6. Give -5*b(d) - 6*j(d).
-28*d**2 + 3*d
Suppose -9 = -c + 6*c + 2*f, -3*f - 6 = 0. Let w(l) = -2*l**2 - 4*l + 2*l**2 + 6 - 4*l**2. Let p(n) = -n**2 - n + 1. What is c*w(q) + 6*p(q)?
-2*q**2 - 2*q
Let i(h) = 24752*h**3 + 273*h**2 - 273*h. Let a(x) = -182*x**3 - 2*x**2 + 2*x. Calculate -273*a(v) - 2*i(v).
182*v**3
Let z(j) = 10*j**3 + 39*j**2 + 17*j. Let q(k) = 3*k**3 + 13*k**2 + 5*k. Determine 7*q(p) - 2*z(p).
p**3 + 13*p**2 + p
Let b(w) be the first derivative of w**2/2 - w - 25. Suppose 1 = 4*g - 5*t, 5*g + 3*t - 25 = g. Let f(k) = -1. Determine g*f(a) - 4*b(a).
-4*a
Let t(b) = 29*b**2 - 11*b + 3. Let g(w) = -8*w**2 + 4*w - 1. Determine -7*g(p) - 2*t(p).
-2*p**2 - 6*p + 1
Let v(k) = k**3 + k**2 + k. Let y(s) = -2*s**3 - 3*s**2 - 9*s. What is -3*v(x) - y(x)?
-x**3 + 6*x
Let a(k) = 5*k**3 - 4*k**2 - 7*k + 3. Let i(r) = 4*r**3 - 3*r**2 - 6*r + 2. Suppose -x = 12*c - 14*c + 3, 30 = 5*x + 5*c. Give x*i(y) - 2*a(y).
2*y**3