10. What is 6*a(s) + i(s)?
-2*s**2 - 130*s - 2
Let l(k) = -14*k**2 + 28*k. Suppose -4*u + 156 = -5*t, 0 = 3*t + 3*u + 23 + 49. Let j(i) = -i. Calculate t*j(g) - l(g).
14*g**2
Let j(t) be the first derivative of t**4/12 + 7*t**3/6 - 31*t**2/2 - 8. Let c(f) be the second derivative of j(f). Let i(m) = m + 3. What is -2*c(u) + 5*i(u)?
u + 1
Let p(i) = 2*i**2 - i + 2. Let q(a) = -5*a**2 + 2*a + 441. Determine 2*p(u) + q(u).
-u**2 + 445
Let g(l) = l. Let s(n) = -n**3 + 8*n**2 - 2*n - 9. Let y be s(5). Let x(j) = -70*j. What is y*g(v) + x(v)?
-14*v
Let i = 18 - 8. Let c(y) = y. Let s(h) = 7*h - 3. Let x(o) = -o + 1. Let j = 7 + -8. Let g(d) = j*s(d) - 3*x(d). Give i*c(w) + 3*g(w).
-2*w
Suppose 0 = -4*x - x + 75. Suppose 2*g - 15 = 5*i, 5*i - i - g + x = 0. Let l(h) = -4*h**2 - 13*h - 1. Let t(v) = -3*v**2 - 9*v - 1. Give i*l(d) + 7*t(d).
-d**2 + 2*d - 2
Let k(n) = 22*n**2 + 4*n + 14. Let q(z) = z**2 + 2. Let y(v) = -k(v) + 7*q(v). Let u(w) = 16*w**2 + 5*w. Give 4*u(o) + 5*y(o).
-11*o**2
Suppose -3*w - 10 - 6 = -5*l, -4*l = -5*w - 5. Let r(b) = -2*b**2 + 5. Let k(u) = u**2 - 6. Determine l*k(t) + 6*r(t).
-7*t**2
Let q = 1217 - 1220. Let b(h) = 4*h - 2. Let u(t) = 7*t - 5. What is q*u(i) + 5*b(i)?
-i + 5
Let g(c) = -2*c**2 + c + 9. Let u(f) = 3*f**2 - 2*f - 13. Calculate 8*g(h) + 5*u(h).
-h**2 - 2*h + 7
Let i(b) = 20*b**3 + 32*b. Let z(v) = -73*v**3 - 170*v + 143*v**3 - 73*v**3 + 165*v. Suppose 2*k + 2*k - 20 = 0. What is k*i(t) + 32*z(t)?
4*t**3
Let q(w) = 7*w + 26. Let s(r) = 4*r + 15. Give -3*q(a) + 5*s(a).
-a - 3
Let z(b) = -15*b**2 + 4*b + 4. Let v(f) = -14*f**2 + 3*f + 3. Let r = -550 - -554. Calculate r*v(i) - 3*z(i).
-11*i**2
Let i(y) = 21*y - 13. Let j(w) = 2. What is -i(z) - 6*j(z)?
-21*z + 1
Let v(d) = -d + 8. Let a be (10/(-40)*(2 - (-10)/5))/(-1). Let r(c) = c - 1. Suppose 2*b + 2 = -2*x, 0 = b + 5*x + 24 - 7. Calculate a*v(y) + b*r(y).
2*y + 5
Let s(m) = 50*m - 351. Let l be s(7). Let y(p) = -2*p**2 - p + 6. Let j(k) = 1. Calculate l*y(t) + 4*j(t).
2*t**2 + t - 2
Let d(c) = 0 + 0*c + c + 1. Suppose 4*g - 7*g = -3. Let b be 0 - 3 - (g + -3). Let v(z) = 8*z + 12. Give b*v(x) + 10*d(x).
2*x - 2
Let r(z) = -3*z + 2. Suppose q - 38 = 5*u + 9, 2*q = -5*u + 34. Let b = q + -22. Let g(j) = -6*j + 3. What is b*r(f) - 3*g(f)?
3*f + 1
Let o(y) = -y**3 + y**2 - 1. Let w(v) = 8*v**3 - 6*v**2 - 3*v + 6. Suppose 21 = -4*z - 11. Let g = -2 - z. Calculate g*o(j) + w(j).
2*j**3 - 3*j
Let k(z) = -11*z**2 - 3*z + 2. Let q(d) = -34*d**2 - 10*d + 7. Let i = -571 + 578. What is i*k(u) - 2*q(u)?
-9*u**2 - u
Let x(g) = -g**2 - g + 1. Let c = -56 + 70. Let s(h) = -4*h**3 - 7*h**2 - 7*h + 7. Determine c*x(u) - 2*s(u).
8*u**3
Let r(q) = -372*q - 5. Let m(w) = 377*w + 4. Determine 4*m(j) + 3*r(j).
392*j + 1
Suppose -5*n + 5 = -75. Suppose n = -11*r + 7*r. Let d(y) = 125*y**2 + 55*y. Let s(a) = 9*a**2 + 4*a. Give r*d(t) + 55*s(t).
-5*t**2
Let i(o) = 11*o - 3. Let u(f) be the second derivative of -7*f**3/2 + 7*f**2/2 + f - 1. Calculate -7*i(k) - 3*u(k).
-14*k
Let b(k) = -3*k - 3. Let u(p) = -5*p + 1. Let v(m) = b(m) - u(m). Suppose 5 - 1 = -4*x. Let n(y) = y + 1. Determine x*v(j) - 2*n(j).
-4*j + 2
Let v(y) = y**2 - 5. Let q(t) = -6*t**2 - 15*t - 28. Determine q(x) - 6*v(x).
-12*x**2 - 15*x + 2
Let o(r) = 5*r**2 + 4*r - 4. Let a = -14 - -19. Let l(p) = -5*p**2 - 3*p**2 + 2*p**2 + 0*p + a - 5*p. Calculate -3*l(s) - 4*o(s).
-2*s**2 - s + 1
Let j = -15 + 16. Let h be 0/(-4 + 3) + j. Let w(s) = -s. Let k(a) = -65 + 2*a + 2*a + 33 + 31. Determine h*w(c) + k(c).
3*c - 1
Let q(h) = 7*h + 5. Let y(k) = 1. Let x be 390/(-7) + 8/(-28). Let u be 1 + x/4 + 3. Let f(o) = 6*o + 14. Let t(w) = u*y(w) + f(w). Calculate 4*q(s) - 5*t(s).
-2*s
Let v(w) = -7*w**3 + 3*w**2 + 3*w - 6. Suppose -5*s - 5*i - 55 = 0, -s = -0*s - i + 1. Let t(j) = -6*j**3 + 3*j**2 + 3*j - 5. Give s*t(k) + 5*v(k).
k**3 - 3*k**2 - 3*k
Let n(d) = -d**3 + 4*d + 2. Let h(w) be the second derivative of 13/6*w**3 - 18*w + 7/2*w**2 + 0 - 1/5*w**5 + 0*w**4. Calculate -2*h(i) + 7*n(i).
i**3 + 2*i
Let x(h) be the first derivative of -5*h**2/2 + 6*h - 276. Let u(f) = 4*f - 7. What is -7*u(k) - 6*x(k)?
2*k + 13
Suppose 6*a - 751 = -745. Let y(i) = i**3 + i**2 - 1. Let o(g) = -4*g**3 - g**2 + 3. Determine a*o(s) + 2*y(s).
-2*s**3 + s**2 + 1
Let f(k) = 8*k**3 - 3*k**2. Suppose -x = -5*x + 96. Suppose -i - 28 = -4*p + 2*i, -x = -5*p + i. Let g(h) = 9*h**3 - 4*h**2. What is p*f(z) - 3*g(z)?
5*z**3
Let t(w) = 5*w + 13. Let o(k) = 4*k + 11. Let b(v) = -6*o(v) + 5*t(v). Let s(n) = 5*n + 1. Calculate b(a) - s(a).
-4*a - 2
Let t(y) = 386*y + 2. Let f(g) = -193*g - 1. Determine -7*f(x) - 3*t(x).
193*x + 1
Let k(j) = -3*j**3 + 6. Suppose 3*g + 6 = 3*f, 0 = f + 2*f - g - 12. Suppose -3 = t, f*h - t + 6*t = -35. Let r(b) = -7*b**3 + 13. What is h*r(o) + 9*k(o)?
o**3 + 2
Let x(t) = 1. Let c = -109 - -105. Let h(g) = g - 5. Give c*x(u) - h(u).
-u + 1
Let y(o) = 6*o**3 + o**2 - o. Let r(s) = 3*s**3 + s**2 - s. Let x be ((-4)/3)/((-20)/30) + 1. Let c be (x - (-1 + 2)) + (-1 - 4). Determine c*y(n) + 5*r(n).
-3*n**3 + 2*n**2 - 2*n
Suppose 5*r - 2*r - 5 = 2*m, 4*r - 20 = -4*m. Let a(n) = n - 1. Let z(k) = -k. Suppose 0 = 10*v - 41 + 1. What is m*a(l) + v*z(l)?
-2*l - 2
Let l(s) = 1. Let q(t) = 223*t**2 - 3. Determine -6*l(r) - 2*q(r).
-446*r**2
Let h(p) be the third derivative of -p**4/6 + 8*p**3/3 + 170*p**2. Let r(y) = 3*y - 11. Give 5*h(j) + 7*r(j).
j + 3
Let u(x) be the third derivative of -x**5/30 + x**4/8 - x**3/2 - 251*x**2. Let s(n) = -n**2 + n. Determine 3*s(p) - u(p).
-p**2 + 3
Let s(u) = -23*u**3 + 17*u**2 - 26*u. Let j(d) be the second derivative of 2*d**5/5 - d**4/2 + 3*d**3/2 - 52*d. Calculate 17*j(o) + 6*s(o).
-2*o**3 - 3*o
Let t(c) = -9*c**2 - 16*c + 8. Let h(q) = -11*q**2 - 16*q + 9. Determine -5*h(k) + 6*t(k).
k**2 - 16*k + 3
Suppose 4 = 198*x - 199*x. Let h(o) = -2*o**2 + o - 2. Let r(z) = -4*z**2 - z + 3*z - 4 - 5*z**2 + 4*z**2. Determine x*r(n) + 9*h(n).
2*n**2 + n - 2
Let o(r) = -r**3 + r**2 + 1. Let y(l) = -4*l**3 + 164*l**2 + 3. Calculate -3*o(t) + y(t).
-t**3 + 161*t**2
Let r(n) = -2*n**2 - 2*n + 2. Let a be -35*((-4)/(-6))/((-5)/3). Suppose 49 = 7*t + a. Let v(f) = 3*f**2 + 3*f - 3. Let l = 2 + 6. Give l*r(k) + t*v(k).
-k**2 - k + 1
Let m(w) = 5*w**3 - w**2 + 5*w + 28. Let p(z) = -11*z**3 + 2*z**2 - 11*z - 56. What is 7*m(o) + 3*p(o)?
2*o**3 - o**2 + 2*o + 28
Let a(b) = 2*b - 1. Let g(n) = n. Suppose 14*u = -28 - 14. Give u*g(k) + 2*a(k).
k - 2
Let f(x) = -3*x**2 - 1 - 7*x + 8 - 1. Let t(k) = -2*k**2 - 6*k + 5. Let d be (-4)/(-8) - (-31)/(-2). Let z = -10 - d. Calculate z*t(i) - 4*f(i).
2*i**2 - 2*i + 1
Let n(q) = 2*q + 5. Suppose -p = -0*p - 1. Let a(x) = -x + 16. Let w be a(16). Let d(j) = 0 - 1 + w. Give p*n(c) + 3*d(c).
2*c + 2
Let f(b) = b**2. Let r = 952 + -947. Let h(o) be the third derivative of 8*o**2 + 0*o**3 - 1/30*o**r + 0*o + 0*o**4 + 0. Determine f(k) + h(k).
-k**2
Let m(k) = 33*k. Let v(b) be the third derivative of b**2 + 0 + 0*b**3 + 1/3*b**4 - b. Give 2*m(f) - 9*v(f).
-6*f
Let n(o) = o**3 + 5*o**2 - 9*o - 7. Let m(b) = b**3 + 4*b**2 - 7*b - 6. Calculate -4*m(r) + 3*n(r).
-r**3 - r**2 + r + 3
Let l(r) = -10*r + 377. Let q(z) = 2*z - 76. What is -2*l(a) - 11*q(a)?
-2*a + 82
Let m(u) = u + 6. Let h = -56 + 73. Let x(s) = 6*s + 16. Let z(f) = 2*f + 5. Let j(a) = h*z(a) - 6*x(a). Give 3*j(v) + 5*m(v).
-v - 3
Let o(z) = -z - 1. Let k(c) = -2*c. Give -2*k(x) + 2*o(x).
2*x - 2
Let f(n) = -11*n**2 - 13*n. Let d = 131 - 128. Suppose 0 = -d*g - 4 - 35. Let y(b) = -5*b**2 - 6*b. Determine g*y(h) + 6*f(h).
-h**2
Let d(n) = 6*n**3 - 14*n**2 + 11. Let c(k) = 2*k**3 - 5*k**2 + 4. Suppose 0 = 4*z + 49 + 15. Let o = 32 + z. Suppose 0 = 4*r + o - 0. What is r*d(t) + 11*c(t)?
-2*t**3 + t**2
Let n(p) = -p**3 + 2*p**2 - 11*p + 2. Let y(i) = -2*i**3 + 5*i**2 - 36*i + 6. What is 11*n(w) - 4*y(w)?
-3*w**3 + 2*w**2 + 23*w - 2
Let l(d) = -2. Let u(y) = 1. Let n(o) = -6*l(o) - 11*u(o). Let r(q) = 2*q + 5. Suppose 2 = 5*m - 13. Determine m*n(b) - r(b).
-2*b - 2
Let m(y) be the first derivative of 0*y - 1/6*y**3 + 3*y**2 + 3. Let v(g) be the second derivative of m(g). Let a(d) = d. Give -a(x) + 2*v(x).
-x - 2
Let s be 0 + 9 + (-8)/2. Let c(v) = -7*v + 5. Let k(f) = 3*f - 2. Let a(i) = s*k(i) + 2*c(i). Let h(z) = z - z - 5*z.