- 7736. Calculate 3868*v(t) - 3*w(t).
-967*t**3
Suppose -11 - 1 = -4*f. Suppose -12*i + 15*i = f. Let d(p) = -p**2 + 4*p - 4. Let j(v) = -v + 1. Calculate i*d(x) + 4*j(x).
-x**2
Let d be (4 + -7)*7/(-3). Let v = -10 + d. Let w(i) = -2*i**2 - 3*i - 3. Let j(o) = -9*o**2 + 2*o**2 - 4 - 4*o + 5*o**2. Calculate v*j(g) + 4*w(g).
-2*g**2
Let i(a) = 4*a**3 - a**2. Let r be ((-3)/(-3))/((-2)/22*-1). Let d be 1 + (-33)/27 - r/(-9). Let n(s) = -s**3 - s**2. Calculate d*n(q) + i(q).
3*q**3 - 2*q**2
Let u(q) = -4*q**2 - 3*q + 1. Let m(n) be the second derivative of 7*n**4/12 + 5*n**3/6 - n**2 - 5*n + 3. Suppose -2*i - 30 = i. Give i*u(c) - 6*m(c).
-2*c**2 + 2
Let p(h) = -h**2 + h. Suppose -4*j = -2*g + 3 + 1, 32 = 4*g + 4*j. Let f(u) = -2*u**2 - 6*u. Calculate g*p(m) + f(m).
-8*m**2
Suppose -4*f + f + 21 = 0. Suppose y = -0*y. Let v(d) = y*d + 5 - d**2 + 0*d**2 + 3*d. Let c(j) = -j**2 + 4*j + 7. What is f*v(i) - 5*c(i)?
-2*i**2 + i
Let l be -2 - 4*-3*1/4. Let f(a) = a**2 - a + 1. Let q(u) = -3*u**2 + 4*u + 4. Calculate l*q(k) + 4*f(k).
k**2 + 8
Let w(q) = -7*q + 8*q - 7 - 4*q. Let g(b) = 2*b + 6. Let h = 95 - 91. Calculate h*w(r) + 5*g(r).
-2*r + 2
Let k(u) = -u**2 - 17*u + 1. Let i(r) = 3*r. Let j(x) = -6*i(x) - k(x). Let y(b) = -2*b**2 + 7*b + 4. Calculate 6*j(a) + y(a).
4*a**2 + a - 2
Let m(p) = p**3 + p**2 + 1. Let a(i) = 5*i**3 + 4*i**2 - 4. Suppose -3*t = -2*t + x, 6 = 5*t - x. What is t*a(o) - 4*m(o)?
o**3 - 8
Let z(y) = 1. Let d be 4*(-2 - (-5 - -2)). Suppose 9*s - 4*s + 2 = 3*x, -d*s = -x + 3. Let v(i) = i - 1. Calculate s*v(b) - z(b).
-b
Let x(d) = d + 1. Let h(t) = -8*t - 158. Give h(s) + 10*x(s).
2*s - 148
Let i(b) = -84*b**2 + 7*b. Let f(c) = -28*c**2 + 2*c. What is 14*f(d) - 4*i(d)?
-56*d**2
Let k(b) = -3*b**2 - 16*b + 1. Let d(a) = 3*a**2 + 18*a - 2. Give -2*d(f) - 3*k(f).
3*f**2 + 12*f + 1
Let b(s) = -8*s**3 - 7*s**2 + 35*s. Let j(p) = -15*p**3 - 15*p**2 + 68*p. Determine -11*b(f) + 6*j(f).
-2*f**3 - 13*f**2 + 23*f
Let d(m) = -8*m + 57. Let a(u) = 11*u - 85. Give 5*a(q) + 7*d(q).
-q - 26
Let i(j) = j**2 - j - 1. Let w(v) = -7*v + 234. Let b be w(33). Let l(u) = -u**3 - 3*u**2 - 2*u + 3. Determine b*i(g) + l(g).
-g**3 - 5*g
Let r(h) = -6*h + 8. Let f(u) = 2*u - 3. Suppose 17*m + 54 = -31. What is m*r(a) - 14*f(a)?
2*a + 2
Let t = -24 - -23. Let f(q) = q**3. Suppose -59 = 24*z + 85. Let r(d) = -5*d**3 + 3*d - 1. Determine t*r(v) + z*f(v).
-v**3 - 3*v + 1
Let o(h) = 15*h**3 - 5*h**2 + 7. Let q(j) = -2*j**3 + j**2 - 1. Determine o(u) + 6*q(u).
3*u**3 + u**2 + 1
Let k(z) = -21*z + 1. Let v(o) = -22*o. Give -4*k(x) + 3*v(x).
18*x - 4
Let y(m) = -2*m**2 + 7*m - 6. Let h(v) = 11 - 4 + 0 - 8 + v. Calculate 4*h(t) - y(t).
2*t**2 - 3*t + 2
Let r(v) = v**3 - v**2. Suppose -2*z + 7*z = 5. Let c(w) = w**3 - w**2. Suppose 4*j + 2 = -2*n + 3*j, -3*j + 8 = -n. What is n*r(u) + z*c(u)?
-u**3 + u**2
Let u = -3 + 7. Suppose -3*n - 2*v = -5, -2*n - u*v = 3*n - 9. Suppose n = a - 0. Let m(q) = -q. Let c(h) = -h**3 - h**2 + 3*h - 1. Determine a*c(l) + 3*m(l).
-l**3 - l**2 - 1
Let a(p) = 31*p - 9. Let i(b) = 125*b - 41. Give -9*a(q) + 2*i(q).
-29*q - 1
Let g(j) = -2*j**3 - j - 2. Let s(i) = 2*i**3 + i + 3. Let n(v) = -v - 2. Suppose -5*r + 4*r = 9. Let o be n(r). Let c = -5 + o. What is c*s(l) + 3*g(l)?
-2*l**3 - l
Let y = -3 + 10. Let a(x) be the first derivative of -x**3 - x**2/2 + 6*x - 52. Let p(z) = 4*z**2 + z - 7. Give y*a(n) + 6*p(n).
3*n**2 - n
Let u(d) = -3*d**2 - 9 + 1 + d**2 - 3*d**2 - 2*d**2. Let l(b) = -b**2 - 1. Calculate 5*l(i) - u(i).
2*i**2 + 3
Let m(u) = -2*u**3 - u**2 - u - 3. Let h be m(-2). Let d(j) = 16*j + 6. Let y(r) be the first derivative of -3*r**2/2 - r - 1. What is h*y(c) + 2*d(c)?
-c + 1
Let g(y) = y - 5. Let a(d) = -4*d + 31. Let c(w) = -a(w) - 6*g(w). Let f = 4 - 5. Let b(u) = -1. Give f*c(t) + 2*b(t).
2*t - 1
Let w(g) = -204*g + 7. Let p(y) = -210*y + 6. What is -7*p(c) + 6*w(c)?
246*c
Let t(d) = 2*d - 5. Let g(h) be the third derivative of h**4/24 - h**3/3 + h**2. Let j = 63 - 44. Let o = 29 - j. Determine o*g(a) - 4*t(a).
2*a
Let d(h) = 2*h + 16. Let y(v) = -6*v - 31. Calculate -5*d(p) - 2*y(p).
2*p - 18
Let r(k) = -k**2 + 4*k - 5. Let f(j) = -j**2 + j. Suppose -2*o - 2 = -5*n, -3*o - 5*n = -10*n + 3. What is o*r(z) + 3*f(z)?
-2*z**2 - z + 5
Let l(r) = -1. Let m(k) = k**2 - k + 7. Suppose 0 = 3*c + 2*p - 5, -16 = -4*p - 0. Calculate c*m(t) - 6*l(t).
-t**2 + t - 1
Let k(x) = 31*x**3 + 14*x**2 - x + 4. Let u(d) = d**3 + d**2 - d + 2. Calculate k(s) - 2*u(s).
29*s**3 + 12*s**2 + s
Let x(z) = -4*z**2 - 42*z + 55. Let r be x(-12). Let j(i) = 3*i + i - 5*i - 5. Let o(g) = 3*g + 14. Determine r*j(h) - 6*o(h).
-h + 1
Let q(g) = -5*g + 8. Let p(n) = 12*n - 14. Calculate -2*p(z) - 5*q(z).
z - 12
Let q(a) = -a**3 + 1. Let j(m) = -112*m**3 + 6. What is j(y) - 6*q(y)?
-106*y**3
Let d(g) = 19*g**2 - 7. Let b be (-29)/(-4) + (-2)/8. Let o(f) = f**3 + 79*f**2 + 507*f + 218. Let s be o(-72). Let k(i) = -6*i**2 + 2. Give b*k(x) + s*d(x).
-4*x**2
Let r(m) = 46*m - 7. Let s(d) = -46*d + 10. Give -3*r(f) - 2*s(f).
-46*f + 1
Suppose -4*r = -r + 15. Let c(w) = -5*w**2 - 3*w + 6*w**2 + 8 - 8*w**2 + 6*w. Let z(d) = 6*d**2 - 2*d - 7. Give r*z(h) - 4*c(h).
-2*h**2 - 2*h + 3
Let m(s) = 65*s**2 + 8. Let v(q) = 195*q**2 + 22. Calculate 8*m(i) - 3*v(i).
-65*i**2 - 2
Let l(o) = -8*o - 7. Suppose k + 7 = -c + 3*k, -4*k - 11 = 3*c. Let t(r) = 3772 - 2*r - 5*r - 3778. Calculate c*l(n) + 6*t(n).
-2*n - 1
Let o(x) = 4*x**2 + 16*x. Let t(h) = -4*h**2 - 2 + 2 + 5*h + 5*h**2. Let d be 10/(-2) - 18/12*-14. Calculate d*t(k) - 5*o(k).
-4*k**2
Let y(r) = -8*r - 3. Suppose g = 2*p - g - 46, p - 4*g - 20 = 0. Let x(v) = 1 + 23*v - p*v + 4. Let j be x(-4). Let f(m) = 2*m + 1. What is j*f(b) + 2*y(b)?
2*b + 3
Let b(a) = 5. Let v(u) = -u - 16. Suppose 3*p - 8*p = 35. Let k(q) = 22*q + 86. Let l be k(-4). Give l*v(d) + p*b(d).
2*d - 3
Let v(k) = -4*k + 16. Let z be v(-5). Suppose 5*w - z = -7*w. Let a(g) = 1 - 2*g + g + 0. Let n(t) = 2*t - 1. Give w*a(i) + 2*n(i).
i + 1
Let k(h) = h**2. Let i(q) = 21*q**2 + 56*q - 7. Let d(s) = -11*s**2 - 24*s + 3. Let o(u) = 7*d(u) + 3*i(u). Determine 6*k(m) + o(m).
-8*m**2
Let a(r) = 2*r**3 - 9*r - 1. Suppose -8*y - 3*j + 415 = -12*y, y + 120 = 4*j. Let x = 97 + y. Let i(f) = 1 - f**3 - f - 2*f + 8*f. What is x*a(v) - 5*i(v)?
-v**3 + 2*v - 2
Let g(j) be the second derivative of j**3/6 - 2*j. Let r(n) = -413*n + 0 + 409*n - 1. What is -6*g(k) - r(k)?
-2*k + 1
Let i(a) = 120*a + 19. Let o(g) = -240*g - 41. Give 13*i(d) + 6*o(d).
120*d + 1
Let z(h) = -12*h + 3. Let j(m) = 23*m - 5. Suppose 6*i - 4*i = 0, 3*i - 6 = -2*d. Determine d*j(b) + 5*z(b).
9*b
Let b(w) = 5*w**2 - 15*w - 6. Let x(h) = 4*h**2 - 14*h - 5. Determine -2*b(q) + 3*x(q).
2*q**2 - 12*q - 3
Let a(m) = -2*m**2 + 12*m - 5. Let t(w) = -4*w**2 + 24*w - 11. Give 9*a(p) - 4*t(p).
-2*p**2 + 12*p - 1
Let t(m) = 7*m**3 - 6*m**2 - 138. Let r(l) = 6*l**3 - 5*l**2 - 139. Calculate -6*r(x) + 5*t(x).
-x**3 + 144
Let r(z) = -210922*z**2 + 1941*z. Let q(a) = -653*a**2 + 6*a. Give 1294*q(w) - 4*r(w).
-1294*w**2
Let o(l) = -3*l**3 + 6*l**2 + 14*l + 11. Let f(j) = j**2 - j + 2. Calculate 6*f(p) - o(p).
3*p**3 - 20*p + 1
Let l(z) = 5*z**2 - z + 13. Let t(g) be the first derivative of 11*g**3/3 - g**2 + 27*g + 470. Calculate -7*l(x) + 3*t(x).
-2*x**2 + x - 10
Let o(t) = 129*t**3 - 7*t - 14. Let s(y) = 64*y**3 - 4*y - 8. Determine 4*o(q) - 7*s(q).
68*q**3
Let w = -210 - -214. Let b(r) = -r + 2. Let h(a) be the first derivative of a**2 - 3*a + 30. Give w*b(z) + 3*h(z).
2*z - 1
Let j = -288 + 291. Let y(w) = 3*w**2 + 45*w. Let f(a) = -3*a. What is j*y(v) + 45*f(v)?
9*v**2
Let v(u) = 3*u**2 - 9*u + 8. Let r(p) = -2*p**2 + 5*p - 7. What is -6*r(t) - 5*v(t)?
-3*t**2 + 15*t + 2
Let n(x) = 3*x - 52. Let h(a) = 4*a - 58. Determine 2*h(f) - 3*n(f).
-f + 40
Let n(y) be the second derivative of -7*y**4/12 + y**3/3 - y**2/2 + 76*y. Let z(i) = -8*i**2 + 3*i - 1. Calculate -5*n(r) + 4*z(r).
3*r**2 + 2*r + 1
Let i(r) = -694*r - 8. Let o(d) = -232*d - 3. Calculate 3*i(f) - 8*o(f).
-226*f
Let s(i) be the third derivative of -3*i**5/20 - 7*i**4/24 + 2*i**3/3 + 23*i**2. Let w(c) = -14*c**2 - 11*c + 6. Let j = 16 + -11. What is j*w(h) - 8*s(h)?
2*h**2 + h - 2
Let c(a) = -11*a - 1. Let l(o) = 68*o + 319. Give -6*c(s) -