- 6. What is 3*d(s) - 8*q(s)?
12*s + 3
Let x(i) = -8*i**3 + 16*i**2 + 16. Let a(w) = w**3 - w**2 - 1. Let n(q) = -7*q + 149. Let f be n(19). Determine f*a(p) + x(p).
8*p**3
Let x(q) = 3*q**3 - 9 + 5*q**2 - 4*q**2 + q**2 + 6*q**3. Let t(z) = 17 - 5*z**3 - 1 - 11 - z**2. Determine 7*t(i) + 4*x(i).
i**3 + i**2 - 1
Let x(a) = a**3 + a**2 + 1. Let y(w) = -54*w**3 - 36*w**2 - 36. Let n(f) = -18*f + 215. Let z be n(12). What is z*y(q) - 36*x(q)?
18*q**3
Let i be 28/1*7/28. Let j(c) = -c**2 + 8*c - 3. Let o be j(i). Let w(s) = 4*s**2 - s**2 - o*s**2. Let r(x) = -2*x**2. Determine -3*r(f) + 5*w(f).
f**2
Let b(a) = 8*a**3 + 8*a**2 - 8. Let q(s) = -s**3 - s**2 + 1. Let i = -6 + -4. Let u = i - -16. What is u*q(m) + b(m)?
2*m**3 + 2*m**2 - 2
Let w(v) = -v - 1. Let m(q) be the first derivative of -q**5/30 - q**4/4 - 9*q**3 - 11. Let p(a) be the third derivative of m(a). Determine -p(o) + 3*w(o).
o + 3
Let f(p) = -52*p**3 + p**2 + 7*p + 1. Let r(u) = 49*u**3 - u**2 - 8*u - 1. Calculate 6*f(y) + 5*r(y).
-67*y**3 + y**2 + 2*y + 1
Let x(u) = 10*u**3 + 14. Let k(j) = j**3 + 6*j**2 + 7. Let a(m) = -2*m**3 - 11*m**2 - 13. Let g(o) = 6*a(o) + 11*k(o). Calculate 28*g(f) + 2*x(f).
-8*f**3
Let b(g) = 118*g**3 + 6*g**2 + 6*g + 6. Let d(c) = 2*c**3 + c**2 + c + 1. What is -b(u) + 6*d(u)?
-106*u**3
Let v(q) = -15*q**2 - q - 7. Let g = 135 + -142. Let j(h) = 5*h**2 + 2. Give g*j(i) - 2*v(i).
-5*i**2 + 2*i
Let c(y) = 296*y - 7. Let h(z) = 297*z - 8. What is 6*c(k) - 5*h(k)?
291*k - 2
Let c(b) = -30*b**2 - 5*b - 2. Let g(l) = -88*l**2 - 16*l - 7. Calculate 7*c(w) - 2*g(w).
-34*w**2 - 3*w
Let j(k) be the third derivative of -3*k**5/20 - 7*k**4/24 - 3*k**3/2 + 97*k**2 + 2*k. Let d(w) = 5*w**2 + 4*w + 5. What is 11*d(n) + 6*j(n)?
n**2 + 2*n + 1
Let t = 14 - 12. Let c(l) = -21 + 0*l**2 + 7*l + 5*l**t + 23. Let q(f) = f**2 + f. Suppose 5*m + 3 + 2 = 0. Calculate m*c(k) + 6*q(k).
k**2 - k - 2
Let h(g) = -11*g - 1. Let p(f) = 20*f + 2. What is -5*h(t) - 2*p(t)?
15*t + 1
Let g(u) = -117*u**2 + 114*u**2 - u + 0 + 3. Let m(a) = a**2 - a - 1. What is -g(f) - 2*m(f)?
f**2 + 3*f - 1
Let w(a) = -247*a - 2. Let o(z) = -249*z - 2. What is -2*o(l) + 3*w(l)?
-243*l - 2
Let o(d) = -2*d**2 + 3. Let y(u) be the first derivative of 4*u**3/3 - 5*u + 22. Determine 5*o(g) + 3*y(g).
2*g**2
Let y(z) = -329*z - 2629. Let u be y(-8). Let m(p) = p + 2 + p**2 - 2*p**2 - p**2. Let w(s) = -2*s**2 + s + 3. What is u*m(b) - 2*w(b)?
-2*b**2 + b
Let k(i) = 2*i**2 - 3*i. Let w(x) = -x**2 + 2*x. Let y = 3 + 2. Suppose 3*j + 0*f + f = 13, y*f = 4*j + 8. Determine j*w(c) + 2*k(c).
c**2
Let k(y) = 39 - y + 0*y**3 - 39 - 2*y**3. Let w = 3 + 6. Let f(c) = 8*c**3 + 4*c. What is w*k(v) + 2*f(v)?
-2*v**3 - v
Let c(z) = 37*z + 7. Let f be 5 - ((-152)/190)/((-2)/30). Let r(x) = -12*x - 2. Calculate f*r(q) - 2*c(q).
10*q
Let y(a) = 388*a**2 - a + 2. Let p(d) = 388*d**2 - d + 3. Give 4*p(q) - 5*y(q).
-388*q**2 + q + 2
Let s(f) = 3*f. Let q(h) = 162*h. What is -4*q(y) - 36*s(y)?
-756*y
Let t(a) = a. Let m be (0 - -3) + (14 - 11). Let j be (-14)/m + (-34)/51. Let p(y) = -6*y. Calculate j*p(h) - 16*t(h).
2*h
Let i(f) = -5*f - 6. Suppose -3*w + 10 + 9 = 5*j, 3*j = -2*w + 11. Let y(d) = -4*d - 5. Determine j*i(n) - 6*y(n).
-n
Let g = -4 + -3. Let r(l) = -123 + 125 - 5*l - 4*l. Let b(z) = -24*z + 38. Let k(s) = -8*s + 14. Let u(d) = -3*b(d) + 8*k(d). Calculate g*u(p) - 6*r(p).
-2*p + 2
Let l(s) = -10*s**3 - 8*s**2 - 8*s. Let z(c) = c**3 + c**2 + c. Suppose -k = -2 + 4, a - 5*k - 11 = 0. Suppose -210*d + 213*d - 24 = 0. Give a*l(h) + d*z(h).
-2*h**3
Let g(t) = -3*t - 6. Let r(f) = 2*f - 11. Let j(z) = -4*z + 10. Let i(q) = -6*j(q) - 7*r(q). What is -17*g(l) - 6*i(l)?
-9*l
Let x(d) = -2*d**2 - 11*d**2 - 41*d**2 - 8*d**2 + 98*d**2 + 14. Let q(o) = 12*o**2 + 5. What is 14*q(l) - 5*x(l)?
-12*l**2
Let h(r) = -r + 3. Let s(f) = -22*f - 5. Calculate 2*h(b) + s(b).
-24*b + 1
Let a(q) be the first derivative of q**3 - 5*q**2/2 - 5*q - 892. Let j(p) = -2*p**2 + 3*p + 3. Calculate 3*a(r) + 5*j(r).
-r**2
Let k(w) = 2*w**2 + 4*w - 4. Suppose -2*q + 23 - 29 = 0. Let u be -3 - ((-15)/(-5) + q). Let p(x) = 4*x + 0 - x - 3 + x**2. Give u*k(z) + 4*p(z).
-2*z**2
Let o(g) = -110*g**2 - 17*g + 7. Let f(d) = 56*d**2 + 9*d - 4. Calculate 7*f(v) + 4*o(v).
-48*v**2 - 5*v
Let p be 2444/24 + 6/36. Let y = p + -97. Let a(c) = c**2 + 4*c - 4. Let v(h) = -h**2 - 5*h + 5. Give y*a(o) + 4*v(o).
o**2
Let h(d) = 37*d**2 + 14*d - 15. Let v(a) = 7*a**2 + 3*a - 3. Let m(c) = -2*h(c) + 11*v(c). Let o(z) = 9*z**2 + 14*z - 8. What is 8*m(t) - 3*o(t)?
-3*t**2 - 2*t
Let b(p) = -259*p**3 + 6*p**2 + 18*p - 6. Let r(t) = 76406*t**3 - 1771*t**2 - 5313*t + 1771. Determine -1771*b(q) - 6*r(q).
253*q**3
Let p be 21/63 - (13/3 - -2). Let z(b) = b**3 + 2*b + 0*b**2 - b**2 + b**3. Let d(k) = -2*k**3 + k**2 - 2*k. What is p*d(r) - 5*z(r)?
2*r**3 - r**2 + 2*r
Let g(u) = 17*u**3 - 7*u - 389. Let f(v) = -12*v**3 + 5*v + 259. What is -7*f(k) - 5*g(k)?
-k**3 + 132
Let z(j) = 76*j**2 + 3*j - 6. Let p(q) = 114*q**2 + 4*q - 8. Determine 5*p(a) - 7*z(a).
38*a**2 - a + 2
Let b(q) = -5*q**3 + 16*q**2 - 9*q + 9. Let y(o) = -o**3 + 4*o**2 - 2*o + 2. Let w be (10 + -2 + -7)*(0 - 2). Determine w*b(s) + 9*y(s).
s**3 + 4*s**2
Let c(z) = -51*z. Let u(i) = i. What is -c(j) - 102*u(j)?
-51*j
Let g(p) = p + 3. Let z(q) = 2. Let s(h) = -28 + 22*h**2 + 17*h**2 - 17*h + 17*h**2 - 54*h**2. Let m be s(10). Give m*g(y) - 3*z(y).
2*y
Let u(l) = -212*l**2 + 2*l. Let v(x) = 61692*x**2 - 583*x. Determine -1166*u(w) - 4*v(w).
424*w**2
Suppose 7 = 3*h - 2. Suppose -19 - 23 = -6*y. Let d(o) = o**2 - 7*o + 7. Let a(w) = 3*w - 3. Calculate h*d(j) + y*a(j).
3*j**2
Let a(u) be the third derivative of 5*u**4/24 - u**3/6 - u**2 + 17*u. Let h(j) = 4*j. Give 2*a(i) - 3*h(i).
-2*i - 2
Let f(z) = z + 1. Let h(s) = -9*s - 25. What is -6*f(x) - h(x)?
3*x + 19
Let t(i) = 5*i - 2. Suppose -m = -2*m - 8. Let q be 18/m - (-1)/4. Let n(w) = 6*w - 1. Let z(d) = q*n(d) + 3*t(d). Let f(g) = -g + 1. Calculate -4*f(s) - z(s).
s
Let y(d) = 4*d**2 - 6*d - 9. Let a(i) = -2*i**2 + 3*i + 4. Suppose 27*b + 6 = 25*b. Let w be (b/(-5))/(1/15 + 0). Determine w*a(r) + 4*y(r).
-2*r**2 + 3*r
Let y(p) = 155*p - 4. Let h(s) = 1. What is -6*h(t) - 2*y(t)?
-310*t + 2
Let v(s) = 7*s**2 - 5*s. Let u(z) be the first derivative of 2*z**3 - 2*z**2 - 73. Calculate -6*u(b) + 5*v(b).
-b**2 - b
Let s(q) = 8*q - 1. Let g(a) be the third derivative of -3*a**4/8 + a**3/6 - 54*a**2. What is -5*g(f) - 6*s(f)?
-3*f + 1
Let q(p) = p**2 - p + 1. Suppose n - 2*d - 1 = 0, -1 + 3 = 3*n - 5*d. Let g(i) = -i - 7. Let s be g(-12). Let c(f) = 6*f**2 - 5*f + 5. What is n*c(o) + s*q(o)?
-o**2
Let h(p) = 15*p**2 + 3*p - 3. Let c(y) = 8*y**2 - 4*y + 4. Let q(r) = -r**2 - r + 1. Let n(x) = c(x) - 8*q(x). Give -4*h(w) + 3*n(w).
-12*w**2
Let y(k) be the first derivative of -k**4/12 - k**3/3 + 11*k + 5. Let x(q) be the first derivative of y(q). Let b(s) = 3*s. Give -2*b(f) - 3*x(f).
3*f**2
Let m(b) = -b**3 + b**2 - b. Let z(s) be the second derivative of -s**5/4 - s**4/6 - s**3/2 - 41*s. Determine -3*m(q) + z(q).
-2*q**3 - 5*q**2
Let o(i) = 3*i + 1. Let x(q) = -7*q - 2. Suppose 8 = 3*z + v, -2*v - 151 = -4*z - 137. Calculate z*x(n) + 5*o(n).
-6*n - 1
Let t(i) be the third derivative of i**6/60 + i**5/30 - i**4/12 - i**3/2 - i**2. Suppose -44*s - 681 = -769. Let l(z) = z + 1. Give s*l(h) + t(h).
2*h**3 + 2*h**2 - 1
Let f(u) = -1573*u**3 - 6*u. Let p(q) = 3145*q**3 + 11*q. Calculate -11*f(i) - 6*p(i).
-1567*i**3
Let m(p) = -5*p - 3. Let k(s) be the first derivative of -11*s**2/2 - 7*s - 99. What is -3*k(r) + 7*m(r)?
-2*r
Let m(l) = l - 1. Let z(b) = 3*b - 44. Calculate 4*m(u) - z(u).
u + 40
Let x = -35 - -30. Let s(k) = k**3 + k**2 - k - 1. Let h(c) = -8*c**3 - 7*c**2 + 7*c + 7. Give x*h(z) - 35*s(z).
5*z**3
Let o(w) = 389*w - 15. Let k(x) = 91999*x - 3546. Determine 5*k(i) - 1182*o(i).
197*i
Let a(i) = 2*i**3 + 5*i**2 + 5. Let j(t) = -3*t**3 - 4*t**2 - 4. Let c(w) = -13*w + 100. Let h be c(8). Give h*a(d) - 5*j(d).
7*d**3
Suppose -5*z + 65 = -5*t, 4*z + 2*t - 87 = -t. Let y(d) = -d**2 + 9. Let q(w) be the first derivative of w - 30. What is z*q(s) - 2*y(s)?
2*s**2
Let i(k) = -k**3 + 232*k**2 - 2. Let o(f) = -2*f**3 + 232*f**2 - 3. Give 3*i(a) - 2*o(a).
a**3 + 232*a**2
Let z(x) = 