 1. Let w(i) = 16*i**2 + i + 1. Let f(q) = 35*q**2 + 3*q + 2. Let u(v) = -3*f(v) + 7*w(v). What is g*l(t) - u(t)?
-7*t**2 + 1
Let f = 1985 + -2033. Let d(w) = -200*w**2 + 48. Let t(i) = -5 - 15*i**2 + 22*i + 36*i**2 - 22*i. Determine f*t(n) - 5*d(n).
-8*n**2
Let q(f) = 3*f**2 + 2*f + 8 + 7*f - 5*f**2. Let h(b) = 7*b + 26 - 72 - 37*b + 13*b + 12*b. Let t be h(-11). Let m(n) = -n**2 + 4*n + 4. Give t*m(z) - 4*q(z).
-z**2 + 4
Let f(l) be the third derivative of -l**5/12 + l**4/12 - l**3/3 - 5082*l**2. Let o(k) = 4*k**2 + 4*k**2 + 2*k**2 - 3*k + 0*k**2 + 4. Determine 7*f(d) + 4*o(d).
5*d**2 + 2*d + 2
Let h(w) = 20*w**3 + 6*w**2 + 6*w. Let i(j) = 2*j**3 - j**2 + 4*j. What is h(d) + 6*i(d)?
32*d**3 + 30*d
Suppose -2*o + 5*m + 65 = 0, 2*o = -2*o + m + 85. Let c(n) = 5*n - 25 - o - 23 + 67. Let w be 7*-1 + -12 + 17. Let j(h) = -25*h + 6. Give w*j(d) - 11*c(d).
-5*d - 1
Let i(p) = -13187*p**3 - 3 + 6581*p**3 + 6604*p**3. Let l(q) be the first derivative of -3*q**4/4 - 7*q - 5. Give -14*i(m) + 6*l(m).
10*m**3
Let q(x) = -x + 6. Let b(v) = 341*v + 46. What is -b(a) + 5*q(a)?
-346*a - 16
Let t(y) = 18*y**3 + 7*y**2 - 238*y + 10. Let i(m) = 5*m**3 + 2*m**2 - 78*m + 3. Calculate -7*i(f) + 2*t(f).
f**3 + 70*f - 1
Let i(n) = n**3 + n**2 + 10. Let r(b) = 7304*b**3 - 55*b**2 - 550. Determine -55*i(a) - r(a).
-7359*a**3
Let b(f) = 40*f**2 - 56*f. Let m(v) = v**2 - v. Suppose 3*x + 338 - 312 = -5*u, 10 = -3*x - u. Calculate x*b(h) + 112*m(h).
32*h**2
Let g(k) = -k**2 + 19 + k**3 - 11 - 9. Let j = -1406 + 1407. Let t(n) = -4 + 3 + 0*n**2 - n**2. Calculate j*g(y) - t(y).
y**3
Let l(v) = v**2 - 14*v + 59. Let p be l(8). Let f(j) = -3*j - 80 + p*j**2 + 83 - 2*j**2. Let k(y) = 5*y**2 - 2*y + 2. Determine -3*f(i) + 5*k(i).
-2*i**2 - i + 1
Let x(c) = 8*c**2 - 30*c + 8. Let m(t) be the second derivative of 7*t**4/12 - 29*t**3/6 + 7*t**2/2 - 16*t - 50. Calculate -7*m(o) + 6*x(o).
-o**2 + 23*o - 1
Let f(p) = -6*p**2 + 26*p + 5. Let k(t) = t**2 + t - 1. Let s be ((0 - 3) + 0)*18/54. What is s*f(n) - 5*k(n)?
n**2 - 31*n
Let i(g) = g**2 + g + 1. Let w be (-6 + 3)*(-9)/(-45) - 6/15. Let t(x) = 9*x**2 + 6*x + 9. Calculate w*t(d) + 5*i(d).
-4*d**2 - d - 4
Let m(n) = 7*n**2 + 2. Let b(i) = 663*i**2 + 4. Determine b(x) - 2*m(x).
649*x**2
Let o(d) = -7*d + 2*d + 1 + 0 + 3 + 7. Let s(h) = 10*h - 24. Let l be s(3). Let m(a) = 2*a - 6. Give l*o(w) + 11*m(w).
-8*w
Let r(q) = -32*q - 361. Let m(g) = -59*g - 721. Determine 6*m(j) - 11*r(j).
-2*j - 355
Let a(t) = -6*t**3 - t**2 - 24*t. Let d(q) = 32*q**3 + 4*q**2 + 119*q + 1. Calculate 11*a(j) + 2*d(j).
-2*j**3 - 3*j**2 - 26*j + 2
Let r(i) = 8*i**3 - 4*i**2 - 2*i + 29. Let h(g) = g**3 - 2*g**2 - g + 1. What is -2*h(a) + r(a)?
6*a**3 + 27
Let h(w) be the second derivative of -2*w**4/3 + w**3/6 - 52*w + 5. Let u(d) = d**2. Determine h(l) - 5*u(l).
-13*l**2 + l
Suppose m + 0 = 4. Let y(i) be the first derivative of 1/3*i**3 + 10 + 3/2*i**2 + 0*i. Let d(t) = -2*t. What is m*y(r) + 6*d(r)?
4*r**2
Let s(n) = -n + 1. Let o(y) be the first derivative of -15*y**2/2 + 13*y + 9465. Give -6*o(z) + 78*s(z).
12*z
Let b(u) = 9*u**3 + 2*u**2 - 2. Let p(k) = -k**3 - 12*k**2 - 14*k + 21. Let z be p(-10). Let q(a) = 54*a**3 + 13*a**2 - 13. What is z*b(w) + 6*q(w)?
-27*w**3
Let r(f) = 6*f**2 + f + 1. Let d(m) be the second derivative of 3*m**4/4 + m**3/6 + m**2/2 + 47*m - 12. Determine 5*d(i) - 7*r(i).
3*i**2 - 2*i - 2
Let j(d) = 5*d**3 + 4*d**2 - 7*d + 4. Let t(k) be the third derivative of k**6/12 + 3*k**5/20 - 5*k**4/8 + 3*k**3/2 + 400*k**2. Determine 9*j(n) - 4*t(n).
5*n**3 - 3*n
Let f(r) = -2*r**3 - 3*r**2 + 6*r - 4. Suppose h = 195*q - 200*q - 33, q = -6. Let j(k) = 4*k**3 + 5*k**2 - 11*k + 9. Determine h*j(v) - 5*f(v).
-2*v**3 + 3*v - 7
Let v(y) = -11 - 15*y**3 - 9*y**2 + 2*y**3 + 4*y**3 - 8*y**3. Let b(u) = 8*u**3 + 4*u**2 + 5. Suppose -19*m - 885 = -961. What is m*v(r) + 9*b(r)?
4*r**3 + 1
Let q(k) = 48*k + 205. Let w(p) = 48*p + 211. Calculate 8*q(t) - 7*w(t).
48*t + 163
Let p(g) = 84*g - 253*g + 4 + 87*g - 6*g**2 + 86*g. Let j be -8 + (1 - 3) + 1. Let q = j + 13. Let v(z) = -5*z**2 + 3*z + 3. What is q*v(d) - 3*p(d)?
-2*d**2
Let u(h) = 3*h - 3. Let j = 8 + -14. Let d(s) = -1. Suppose -70*b + 466*b - 1002 = -105*b. Give b*u(x) + j*d(x).
6*x
Let g(v) = -4*v**2 + 70*v + 507. Let f be g(23). Let o = -3 + -3. Let d(s) = 2*s**3 + 4*s**2 - 2*s + 6. Let l(t) = t**3 + t**2 + 1. Calculate f*d(h) + o*l(h).
-4*h**3 - 2*h**2 - 2*h
Let z(v) = -48*v - 60. Let o(k) = -49*k - 70. What is 5*o(t) - 6*z(t)?
43*t + 10
Let z(d) = -55*d. Let p be (-5 - -96)/7 - (-86 - -105). Let o(x) = 4*x. Let l be (-1)/(-4) + (-341)/4. Determine l*o(m) + p*z(m).
-10*m
Let w(m) = 370*m + 6291. Let s be w(-17). Let d(f) = f**3 - f**2 - f + 1. Let t(u) = -3*u**3 - 1. What is s*d(j) + t(j)?
-2*j**3 - j**2 - j
Suppose -b + f - 4 = 0, -5*f + 51 = -27*b + 9. Let j(k) = 2*k - 1. Let o(l) = l. Give b*o(m) + j(m).
m - 1
Let n(u) = u**2 + u. Let v(f) = -f**2 - f - 1. Suppose -4*p = 3*b - 231 - 226, 0 = -b - 1. Suppose 126*q + 33 = p*q. Determine q*v(a) - 4*n(a).
-a**2 - a + 3
Let a(f) = -4*f**2 - 11*f - 11. Let n(t) = 9*t**2 - t - 1. Let j(k) = 4*k**2. Suppose c + 48 - 51 = 0. Let w(i) = c*n(i) - 7*j(i). Give 6*a(v) - 22*w(v).
-2*v**2
Let i = 26409 + -26412. Let m(s) = -2*s**3 + 2*s**2 + s + 1. Let n(w) = w**2 - w. Give i*n(a) + m(a).
-2*a**3 - a**2 + 4*a + 1
Let k(m) = -176950*m - 31851. Let s(o) = -17*o - 3. Give 2*k(r) - 21234*s(r).
7078*r
Let l(u) = 2*u + 4. Let f(x) = 25 + 17 - 43. What is 6*f(a) + 2*l(a)?
4*a + 2
Let w(f) = f**2 + f - 1. Let h(d) be the first derivative of -d**4/2 + 13*d**3/3 - 2*d + 2257. Calculate -h(k) + 2*w(k).
2*k**3 - 11*k**2 + 2*k
Let v(o) = -o - 1. Let a(n) = 6*n**2 - 9*n + 2. Let h be a(1). Let u(r) = 10*r + 1. Calculate h*v(w) + u(w).
11*w + 2
Let m(j) = -4 - 122*j - 129*j + 4 + 252*j. Let r(i) = -7*i**2 - i - 2. Calculate -3*m(p) - r(p).
7*p**2 - 2*p + 2
Let b(o) = 5*o**2 + 2*o + 8. Let v(t) = t**3 - 4*t**2 - t - 6. Give 2*b(k) + 3*v(k).
3*k**3 - 2*k**2 + k - 2
Let u(r) = -28 + 56*r**3 + 28*r**2 + 949*r + 161*r**3 - 921*r. Let s(x) = -24*x**3 - 3*x**2 - 3*x + 3. Determine -28*s(h) - 3*u(h).
21*h**3
Let s(r) = -289*r - 597. Let c(k) = -289*k - 497. What is -6*c(m) + 5*s(m)?
289*m - 3
Let x(a) = 12*a**2 + 15. Suppose -3*s - 2*s = -6*i - 8, -i + 6 = s. Suppose -18 = -i*p + 5*p. Let t(k) = -6*k**2 - 7. Give p*x(f) - 13*t(f).
6*f**2 + 1
Suppose 3 = 3*i - 5*y, 2*i - 3*y = y + 2. Let u(s) = -7*s + 4*s**2 + 2 + i + 2*s**2 - 5. Let b(k) = -7 + 2 + 0 + 3 + 7*k**2 - 8*k. Give -5*b(t) + 6*u(t).
t**2 - 2*t - 2
Let p(t) = -25*t + 1628. Let x(l) = -67*l + 4880. Calculate -8*p(c) + 3*x(c).
-c + 1616
Let b(c) = 2*c + 10. Let o(w) = 2*w + 10. Suppose -5*q - 30 = 0, 3*a - 4*q + 39 = -7*q. Calculate a*b(y) + 6*o(y).
-2*y - 10
Let d(c) = -4*c**2 + 11. Let p(i) be the second derivative of -3*i**4/4 - i**3/6 + 11*i**2 + 199*i + 14. What is 7*d(r) - 3*p(r)?
-r**2 + 3*r + 11
Let r(p) = -3*p + 5. Let y(h) = -8. Let q(j) = 3. Let n(t) = 11*q(t) + 4*y(t). Suppose 902*g - 934*g - 64 = 0. Calculate g*n(z) + r(z).
-3*z + 3
Let v(u) = -u - 1225. Let r(n) = n + 1219. What is -5*r(g) - 6*v(g)?
g + 1255
Let j(y) = -y**2 - 12*y - 6. Let o(g) = 14*g + 9. Give -3*j(w) - 2*o(w).
3*w**2 + 8*w
Let g(m) = 33*m + 7. Let o(x) = -2*x - 5 + 39*x - 5*x - 15*x - 26*x - 13*x. Let z = -8 + 13. Determine z*g(b) + 7*o(b).
11*b
Let k(r) = -2*r**2 - 5*r + 3*r**2 + 4*r. Suppose 0 = 196*j - 204*j + 40. Let b(f) = 6*f - 1 + f**2 - 10*f**2 + 3*f**2. Calculate j*k(m) + b(m).
-m**2 + m - 1
Let g(l) = l + 8. Let a(r) = -83 - 86 + 251 - 86 - r. Calculate 5*a(h) + 2*g(h).
-3*h - 4
Let b(v) = 60*v + 2537*v**2 - 126*v + 60*v - 2551*v**2 + 4. Let r(q) = -q**2 - q + 1. Give -b(d) + 6*r(d).
8*d**2 + 2
Let k(x) = 4*x - 4. Let w(m) = -48*m + 30. Let s(o) = -10*k(o) - w(o). Let z(q) = 3*q + 3. Determine -3*s(d) + 10*z(d).
6*d
Let f(k) = 14677*k + 82. Let x(i) = -689820*i - 3895. Determine -95*f(c) - 2*x(c).
-14675*c
Let v(z) = -8*z**3 + 1047*z**2 - 9*z - 18. Let r(t) = -t**3 + 5*t**2 - t - 2. What is -18*r(h) + 2*v(h)?
2*h**3 + 2004*h**2
Let m(x) = -21*x**3 + 16*x**2 + 133*x. Let p(h) = 13*h**3 - 9*h**2 - 65*h. Give 3*m(a) + 5*p(a).
2*a**3 + 3*a**2 + 74*a
Let t(p) = 2793*p**2 + 3*p + 33. Let l(f) = 19550*f**2 + 22*f + 242. Cal