- 581. What is s*u(v) + r(v)?
-v
Let o(b) = -10*b + 7. Let k(n) = -30*n + 22. Calculate -5*k(s) + 16*o(s).
-10*s + 2
Let r(m) = -m**2 - m - 1. Let f(y) = 30*y**2 - 5*y - 6. Calculate -f(w) + 6*r(w).
-36*w**2 - w
Let z(x) = 6*x**2 + 15*x + 11. Let r(p) = 8 - 7 + p**2 + 1 + 0 + 3*p. Determine -11*r(i) + 2*z(i).
i**2 - 3*i
Let m(j) be the first derivative of -3*j**4/2 - j**3/3 + 2*j**2 + 4*j + 10. Let x(q) = -11*q**3 - 2*q**2 + 7*q + 7. Let l = -45 + 49. What is l*x(o) - 7*m(o)?
-2*o**3 - o**2
Let c(v) = -740*v**3 + 1110*v**2 - 555*v + 555. Let d(j) = j**3 - 2*j**2 + j - 1. Give 4*c(q) + 2220*d(q).
-740*q**3
Let t(h) = -14*h**3 - 5*h**2 - h + 6. Let a(f) = f**3 - f**2 + 1. What is 5*a(v) - t(v)?
19*v**3 + v - 1
Let k(b) = 5*b**2 + 9*b - 8. Suppose 81 + 111 = -24*l. Let w(q) = -3*q**2 - 6*q + 5. Determine l*w(v) - 5*k(v).
-v**2 + 3*v
Let v(l) = -21*l - 42. Let o(g) = 2*g + 4. Calculate -56*o(u) - 5*v(u).
-7*u - 14
Let k(n) = -9*n - 7. Let b(d) = 6*d + 16. Let z(t) = -7*t - 19. Let o(h) = -6*b(h) - 5*z(h). Determine k(a) - 6*o(a).
-3*a - 1
Let h(c) = -c**2 + c - 2. Let m(b) = -100*b**2 + 5*b - 10. Give -5*h(y) + m(y).
-95*y**2
Let i(l) = -4*l**3 - 16*l**2 - 32. Let z(k) = k**3 + 3*k**2 + 6. Calculate 3*i(p) + 16*z(p).
4*p**3
Let y(a) = 16*a**2 - 8*a + 3. Let g(v) = -16*v**2 + 6*v - 3. Give 4*g(p) + 3*y(p).
-16*p**2 - 3
Let o(x) = -18*x - 12. Let g(i) = 17*i + 15. Give 5*g(n) + 6*o(n).
-23*n + 3
Let o(a) = -a + a - 1 + 2*a. Let t(y) = 2*y. Let u(x) = x**3 - 8*x**2 + 9*x - 7. Let b be u(7). Suppose 0 = f + q + 3, 5*f + 4*q + 8 = -b. Give f*t(n) + 2*o(n).
-2*n - 2
Let o(s) = 2*s + 11. Let m be 16/2 + 8/8. Suppose -7 - m = -2*n. Let u(w) = n*w - 8*w - 5 - w. Calculate 3*o(p) + 7*u(p).
-p - 2
Let v = 821 + -818. Let a(m) = -9*m**3 - 4*m**2 - 4*m. Let h(o) = 8*o**3 + 3*o**2 + 3*o. Determine v*a(k) + 4*h(k).
5*k**3
Let n(i) = 6*i + 8. Let t(b) be the first derivative of -1/2*b**2 - 5 - b. Determine n(j) + 8*t(j).
-2*j
Let y be 88/20 - 6/15. Let u be y/20 - 24/(-5). Let p(l) = -9*l + 2. Let w(f) = -5*f + 1. Let k(m) = m - 5. Let z be k(2). Calculate u*w(j) + z*p(j).
2*j - 1
Let d(v) = 5*v + 7. Let y(w) = -6*w - 6. Let l(u) = 5*d(u) + 6*y(u). Let b(n) = -23*n - 2. Determine 4*b(t) - 7*l(t).
-15*t - 1
Let j(s) = 6*s**3 - 5*s - 5. Let p(n) = -11*n + 2 - 4 + 6*n + 2*n**2. Let a be p(4). Let z(c) = -c**3 + c + 1. Determine a*z(h) + 2*j(h).
2*h**3
Let t = 113 + -112. Let o(h) = -5*h - 5*h**3 + 5*h + 4*h**3 + h**2. Let a(m) = -2*m**3 + m**2 + m + 4. Give t*o(l) - a(l).
l**3 - l - 4
Let q(s) = s**3 + s**2 + s. Let a(z) = -10*z**3 + 2*z**2 + 7*z. Calculate -a(y) + 2*q(y).
12*y**3 - 5*y
Let t(i) = -36*i**2 + 4*i - 1. Let f(d) = 18*d**2 - 2*d. Give 5*f(s) + 2*t(s).
18*s**2 - 2*s - 2
Let w(q) = -10*q**3 + 3*q**2 - 3*q. Let k(s) = -70*s**3 + 20*s**2 - 20*s. Let z(a) = 2*a**3 + 15*a**2 - 26*a - 11. Let x be z(-9). Give x*w(v) + 3*k(v).
-10*v**3
Let g(c) = -4*c**2 + 9*c - 15. Let h(l) = 15*l**2 - 2*l + 7 + 1 - 4*l**2 - 9*l**2 - 3*l. Calculate -6*g(r) - 11*h(r).
2*r**2 + r + 2
Let c(a) be the third derivative of 7*a**5/60 + a**4/8 + a**3/3 + a**2 - 45*a. Let b(n) = 6*n**2 + 2*n + 2. Determine 6*b(i) - 5*c(i).
i**2 - 3*i + 2
Let i(a) = 3*a + 1. Let c(y) = 4*y + 6*y + 7 - 4. Let j be (-8)/2 + 126/6. Suppose -21*m = -j*m - 28. Give m*i(w) - 2*c(w).
w + 1
Let b(f) = -21*f**2 + 2*f + 42. Let d(v) = 24*v**2 - 2*v - 43. Give 7*b(i) + 6*d(i).
-3*i**2 + 2*i + 36
Let f(r) = 49*r**3 + 8*r**2 + 10*r + 10. Let l(y) = 122*y**3 + 20*y**2 + 24*y + 24. Determine -12*f(k) + 5*l(k).
22*k**3 + 4*k**2
Let p(j) = 4*j + 11. Let w(t) = -3*t**2 - 18*t - 6. Let v be w(-6). Let x(d) = -2*d - 5. Determine v*p(k) - 13*x(k).
2*k - 1
Let t(x) = -x**2 + 2*x + 3. Let q = 276 + -275. Let d(l) = l**3 + 8*l**2 + 6*l - 5. Let y be d(-7). Let o(s) = -s**2 - s - 1. What is q*t(v) + y*o(v)?
-3*v**2 + 1
Let h(s) = -10*s**3 + 3*s**2 + 6*s - 6. Let v(o) = -28*o**3 + 9*o**2 + 17*o - 17. Calculate -17*h(d) + 6*v(d).
2*d**3 + 3*d**2
Let c(f) = 3*f**2 - 3*f - 12. Let d(q) = -7*q**2 + 7*q + 24. What is -5*c(b) - 2*d(b)?
-b**2 + b + 12
Let l(u) = u - 1. Suppose -5*a = -4 + 14. Let z(w) = -w**2 + 3*w. Let t(y) = y**2 + 10*y + 25. Let g be t(-6). Determine a*l(j) + g*z(j).
-j**2 + j + 2
Let t(l) = -54*l - 98. Let v(p) = -19*p - 33. Calculate 5*t(y) - 14*v(y).
-4*y - 28
Let u(g) = 4*g**2 - 3*g + 14. Suppose 68 = -3*d + 53. Let o(j) = -5*j**2 + 4*j - 15. Give d*o(i) - 6*u(i).
i**2 - 2*i - 9
Let r(q) = 4*q - 122. Let j(t) = 7*t - 244. Give -3*j(a) + 5*r(a).
-a + 122
Let a(r) = -5*r**2 + 3*r - 2. Let p(y) = -6*y**2 + 4*y - 2. Let u = -2 + 6. Suppose -3*l = -3*v + 9, 2*l - u*l = 4*v. What is l*p(f) + 3*a(f)?
-3*f**2 + f - 2
Let i(h) = -4*h**3 - 12*h**2 - 8*h - 5. Let r(m) = -3*m**3 - 8*m**2 - 5*m - 3. Calculate 5*i(b) - 7*r(b).
b**3 - 4*b**2 - 5*b - 4
Let f(l) = -3*l**3 - 14*l. Let t(x) = 6*x**3 + 28*x. What is -7*f(i) - 3*t(i)?
3*i**3 + 14*i
Let b(k) = 7*k**2 + 9*k - 9. Let m(j) be the first derivative of -j**3 - 2*j**2 + 4*j + 88. Calculate 4*b(h) + 9*m(h).
h**2
Let l(w) = -2*w + 157. Let a(x) = -2*x + 155. Give 5*a(n) - 6*l(n).
2*n - 167
Let r(s) = -s**2 - 6*s + 10. Let v(n) = -2*n**2 - 3*n + 5. Determine -4*r(z) + 7*v(z).
-10*z**2 + 3*z - 5
Let h(v) = -301*v**2 + 4*v + 6. Let l(n) = n**2 - n - 3. What is h(j) + 2*l(j)?
-299*j**2 + 2*j
Let z(f) = -6*f + 11. Let q(d) = 7*d - 13. What is 2*q(m) + 3*z(m)?
-4*m + 7
Suppose -2*w - 1 = -t - 14, -3*w + 9 = 0. Let m(a) be the first derivative of -a**3/3 - a**2 + 11. Let n(x) = -3*x**2 - x - x - 5*x. Calculate t*m(i) + 2*n(i).
i**2
Let i = -3 - -7. Let r(w) = 0 + i - 4 - w. Let v(f) = -1. Let n(y) = 2*y - 6. Let d(h) = -n(h) + 6*v(h). What is -2*d(k) + 5*r(k)?
-k
Let j(f) = 114*f**2 - 13*f - 6. Let z(k) = 57*k**2 - 7*k - 4. What is 3*j(x) - 5*z(x)?
57*x**2 - 4*x + 2
Let b(z) = -2*z + 2. Let w(i) = -29*i - 638. What is -638*b(x) - 2*w(x)?
1334*x
Let v(u) = 2*u**3 + 2*u**2 - 2*u. Let o(q) = -53*q - 479. Let k be o(-9). Let z(t) = 2*t**3 + 2*t**2 - 3*t - 1. Give k*z(s) + 3*v(s).
2*s**3 + 2*s**2 + 2
Let q = -4 - 34. Let h = 40 + q. Let b(m) = -6*m - 4. Let d(j) = -j - 1. What is h*b(s) - 11*d(s)?
-s + 3
Let m(r) = 4*r + 7. Let p(b) = -13*b - 18. Calculate -7*m(h) - 2*p(h).
-2*h - 13
Let n(w) = -w**3 - 17*w**2 - 14*w + 37. Let c be n(-16). Let g(z) = -2*z + 6. Let u(h) = 2*h - 5. Calculate c*u(o) + 4*g(o).
2*o - 1
Let w(m) = -5*m**2 + 4 + 5*m - 7*m**2 - 3*m + 3*m**2 + 4*m. Let d(p) = -8*p**2 + 5*p + 3. What is 6*d(g) - 5*w(g)?
-3*g**2 - 2
Let l(q) = 1372*q + 1378*q - 2749*q. Let d(b) = 2. Give d(r) + 4*l(r).
4*r + 2
Let n(m) = -m**2 - m - 1. Let v(i) = 6*i**2 + 2*i + 1. Let q(s) = 5*s**2 + 2*s + 2. Let u(k) = -4*q(k) + 3*v(k). Calculate 3*n(r) - u(r).
-r**2 - r + 2
Let q(c) = -c**2 + 4*c + 2. Let d = -54 - -60. Let n(a) = 2*a**2 - a**2 + d*a + 1 - 5*a - 2*a**2. What is 3*n(t) - q(t)?
-2*t**2 - t + 1
Let q be (10 + -9)*(-6 + 0). Let i = 12 + 1. Let d = i + q. Let v(g) = -3*g**2 + g - 7. Let h(r) = r**2 + 2. Determine d*h(n) + 2*v(n).
n**2 + 2*n
Let i(p) be the first derivative of 2*p**4 + 5*p**3/3 + 5*p**2/2 - 5*p + 407. Let u(c) = -12*c**3 - 8*c**2 - 8*c + 8. Give 8*i(w) + 5*u(w).
4*w**3
Let z(n) = 7*n**3 + 29*n**2 - 6*n. Let h(m) = -m**3 - 6*m**2 + m. Calculate -11*h(l) - 2*z(l).
-3*l**3 + 8*l**2 + l
Let x = 46 + -49. Let y(n) = -n - 4. Let v(b) = 4*b + 16. Suppose 4*o + 5 - 41 = 0. Let a(m) = o*y(m) + 2*v(m). Let j(s) = -1. Calculate x*a(l) + 12*j(l).
3*l
Let n(m) = m**3 + m + 1. Let b(s) = -s**3 - s + 5*s**3 - 16 + 14 - s. Calculate -b(i) - 2*n(i).
-6*i**3
Let v = 1894 + -1886. Let p(y) = -13*y**3 + 5*y**2 - 5*y. Let j(d) = -20*d**3 + 8*d**2 - 8*d. Calculate v*p(k) - 5*j(k).
-4*k**3
Let r(t) = t - 2. Let i = -71 - -76. Let f(d) = d - 2. Give i*f(w) - 6*r(w).
-w + 2
Let r(y) = 8*y**3 + 13*y**2 - 3*y + 5. Let p(z) = 23*z**3 + 38*z**2 - 9*z + 14. Calculate 6*p(c) - 17*r(c).
2*c**3 + 7*c**2 - 3*c - 1
Let r(z) = -374*z**2 - 68*z + 68. Let o(v) = -v**2 - 2*v + 2. Give -34*o(a) + r(a).
-340*a**2
Let i(j) = 8*j**2 - 43*j. Let f(z) = -4*z**2 + 21*z. Determine -13*f(h) - 6*i(h).
4*h**2 - 15*h
Let v(a) = -a + 1. Let f(q) = q**2 - 8*q - 21. Let d be f(10). Let b(l) = -5*l + 1. What is d*b(y) + 4*v(y)?
y + 3
Suppose 16 = -11*c + 3*c. Let y(j) be the first derivative of j**3/3 + j**2/2 - j - 8