- 2
Let u(n) be the second derivative of -n**2 + 2*n. Let i(q) = -q**2 - 2. Let p be 3 + -3 + 1 + -9. Let w be p/6 - (-16)/(-24). What is w*i(d) + 2*u(d)?
2*d**2
Let i(u) = 20*u**3 - u**2 - 8*u. Let v(w) = 42*w**3 - w**2 - 15*w. What is -5*i(l) + 3*v(l)?
26*l**3 + 2*l**2 - 5*l
Let l(u) = 7*u**3 + u**2 + 19*u - 8. Let r(n) = -3*n**3 - n**2 - 9*n + 3. Let k(j) = 4*l(j) + 9*r(j). Let c(y) = -y**2 - y - 1. What is -30*c(i) + 6*k(i)?
6*i**3
Let p(o) = 14*o + o**2 - 32*o + 19*o. Let j(m) = -2*m**2 - 2*m - 1. Determine 2*j(d) + 6*p(d).
2*d**2 + 2*d - 2
Let a(r) = -2*r**3 - 4*r**2 - 2*r. Let y(z) = 5*z**3 + 8*z**2 + 4*z. Let g(d) = -2*d**2 - 104*d + 103. Let u be g(-53). Give u*y(l) - 7*a(l).
-l**3 + 4*l**2 + 2*l
Let d(n) = n - 1. Let r(u) = -9. Let c(t) = 12. Let a(x) = -c(x) - r(x). Determine -a(k) + 5*d(k).
5*k - 2
Let x(z) = 3*z**3 + 2*z**2 - 67*z - 6. Let j(f) = -f**2 - f + 3. Determine 2*j(m) + x(m).
3*m**3 - 69*m
Let u(c) = 85*c**3 - 10*c**2 + 20. Let q(j) = -42*j**3 + 4*j**2 - 10. Give -5*q(v) - 2*u(v).
40*v**3 + 10
Let n(l) be the third derivative of -l**5/60 + 23*l**3/6 + 8*l**2. Let u(f) be the first derivative of n(f). Let h(b) = -10*b. What is 4*h(i) - 22*u(i)?
4*i
Let u(n) = 16*n**2 - 109*n + 111. Let g(b) = 3*b**2 - 22*b + 20. Determine -11*g(t) + 2*u(t).
-t**2 + 24*t + 2
Let n(a) = 6*a**3 + 6*a - a + 81 - 167 - 12*a**2 + 90. Let y(h) = -7*h**3 + 13*h**2 - 6*h - 5. Give -5*n(u) - 4*y(u).
-2*u**3 + 8*u**2 - u
Let b(j) = -1. Let l(q) = -10*q + 6. Let k = 427 + -426. Give k*l(a) + 6*b(a).
-10*a
Let m(u) = -2*u**3 - u**2 - 5. Let p(f) = -8*f**3 - 5*f**2 + f - 21. Calculate 9*m(a) - 2*p(a).
-2*a**3 + a**2 - 2*a - 3
Let m(q) = 0*q**2 + 11*q**2 + 10*q**3 + 11 + 15*q**3 - 4*q**3. Let r(c) = -4*c**3 - 2*c**2 - 2. What is 2*m(b) + 11*r(b)?
-2*b**3
Let u(v) = 2*v**2 - v - 2. Let g(r) = 3*r**3 + r + 67. Calculate g(b) + u(b).
3*b**3 + 2*b**2 + 65
Let n(d) = 2*d**2 - 1. Let i(q) = -2*q**3 + 28*q**2 + 10. Determine -i(x) - 10*n(x).
2*x**3 - 48*x**2
Let g(w) = -3*w + 13 - 14 + 4*w. Let p(v) = 4*v - 1. Calculate -g(c) + p(c).
3*c
Suppose 0 = -10*l - 1020 + 300. Let z = 96 + l. Let j(p) = p**2 + p. Let b(h) = -9*h**2 - 8*h. Give z*j(c) + 3*b(c).
-3*c**2
Let j be 60/(-5) - (43 - 1)/(-6). Let m(q) = 2*q - 6. Let t(x) = 4*x - 5*x + 4*x - 9. Calculate j*t(l) + 8*m(l).
l - 3
Let c(j) = 10*j**3 - 4*j**2 - 6*j - 6. Let w(a) be the first derivative of a**4/4 - a**3/3 - a**2/2 - a + 97. Calculate -c(i) + 6*w(i).
-4*i**3 - 2*i**2
Let v(g) = 1. Let f(l) = -2*l + 2. Suppose 5*z - 3*z = -2*a + 4, 3*z - a - 6 = 0. Suppose -140 = -z*o - 142. What is o*f(j) + v(j)?
2*j - 1
Let n(z) = 10*z**2 + 3*z. Let d(r) = r**2. Let i(q) = 157*q**2 + 49*q. Let w(p) = 4*d(p) + i(p). What is -49*n(b) + 3*w(b)?
-7*b**2
Let u(z) = -234*z. Let r(a) = -233*a. Calculate 5*r(k) - 6*u(k).
239*k
Suppose -389*m = -377*m - 72. Let p(z) = -z**2 + 1. Let x(v) = 7*v**2 - 6*v - 6. What is m*p(y) + x(y)?
y**2 - 6*y
Let b(z) = 2*z**3 - 6*z**2 + 7. Let c(r) = r**3 + 10*r**2 - 8. Let o(v) = 8 - 2*v**3 - 1 - 11*v**2 + 1. Let l(p) = -4*c(p) - 3*o(p). What is 6*b(k) - 5*l(k)?
2*k**3 - k**2 + 2
Let o(t) = -2*t**2 + t + 3. Let r(c) be the first derivative of -4*c**3/3 + c**2 + 5*c - 136. Give -5*o(i) + 3*r(i).
-2*i**2 + i
Let x(y) = -7*y**2 + 22*y - 19. Let n(t) = -t**2 + t - 2. Determine -5*n(z) + x(z).
-2*z**2 + 17*z - 9
Let k(y) = y. Suppose 46 = -g + 3*g. Let z = 19 - g. Let m be (-4)/z*2 + -3. Let j(f) = -2*f**3 + 2*f**2 + 2*f. Determine m*j(s) + 2*k(s).
2*s**3 - 2*s**2
Suppose -919*v + 923*v - 20 = 0. Let b(t) be the first derivative of -v*t + 2/3*t**3 - t**2 - 3. Let w(n) = -n**2 + 1. Give b(r) + 4*w(r).
-2*r**2 - 2*r - 1
Let m(r) = r. Let f(l) = -21*l + 2. Let h(u) = -f(u) - 6*m(u). Let d = 2432 - 2421. Let y(b) = 8*b - 1. Let p be -4 - (3 + (-2)/2). What is d*y(a) + p*h(a)?
-2*a + 1
Let t(o) = -o**2 + 1. Let b(z) = -3*z**2 + 2*z + 5. Suppose 9 = 3*x - 5*f, -4*x - 6*f + 2*f = 20. Determine x*t(d) + b(d).
-d**2 + 2*d + 3
Let r(h) = -7*h**3 - 5*h**2. Let m(a) = -3*a**3 - 2*a**2. Let k(v) = -5 + 1 + 4*v - 3 + 0. Let u be k(5). Let w = -11 + u. What is w*r(o) - 5*m(o)?
o**3
Let q(t) = 697*t**3 - 11*t**2 - 14. Let s(x) = 232*x**3 - 4*x**2 - 5. Calculate -4*q(c) + 11*s(c).
-236*c**3 + 1
Let z(s) = -s**3 - 11*s**2 + 22*s + 756. Let o(g) = -2*g**2 + 4*g + 151. Give 11*o(f) - 2*z(f).
2*f**3 + 149
Let b(i) = i**2 + 5*i. Let s(m) = -m. Let c(t) = -16*t + 2. Let d be c(2). Let h be d/(-35)*(-14)/2. Let x be (h/(-4))/((-9)/(-24)). Give x*s(l) + b(l).
l**2 + l
Let p(y) = 2*y**3 + y**2 + 2*y - 4. Let q(i) = 11 - 10 - 5*i + i + 19. Let d be q(6). Let m(u) = 3*u**3 + 2*u**2 + 2*u - 5. Determine d*m(t) + 5*p(t).
-2*t**3 - 3*t**2 + 2*t
Let g(d) = -9216*d**3. Let v(k) = 2*k**3. Give g(s) + 5120*v(s).
1024*s**3
Let j(d) = d**2 + d + 1. Let c(a) = -8*a - 3 + 188*a**2 - 196*a**2 + 5*a. What is c(u) + 3*j(u)?
-5*u**2
Let u(j) = 11*j**2 + 9. Let r(z) = 10*z**2 + 8. Give 6*r(c) - 5*u(c).
5*c**2 + 3
Let g(h) be the third derivative of 11*h**6/40 + 7*h**5/60 - 7*h**4/24 + 7*h**3/6 - 2*h**2 - 7. Let o(r) = 22*r**3 + 5*r**2 - 5*r + 5. What is -5*g(x) + 7*o(x)?
-11*x**3
Let b(k) = -k + 1. Let n(w) = -2. Let a(i) = 7*i - 86. Let r be a(12). Give r*b(q) + n(q).
2*q - 4
Let n(z) = 2*z**2 + 7*z - 9. Let w(x) = -3*x**2 - 11*x + 14. Let t = 2 - 10. Let y(q) = -q**3 + q**2 - 4*q - 5. Let v be y(0). What is t*n(u) + v*w(u)?
-u**2 - u + 2
Let s(x) = -3*x. Let h(y) = y**2 - 7*y + 1. Let d be -2*(5 + 50/(-20)). Give d*s(t) + 2*h(t).
2*t**2 + t + 2
Let z = 13 - 23. Let s be (-1517)/(-246) + (-1 - (-10)/12). Let v = z + s. Let h(b) = -b + 2. Let g(c) = -2*c + 3. What is v*g(d) + 6*h(d)?
2*d
Let f(r) = -r + 9. Let a be f(8). Let v(p) be the first derivative of -p**4/4 + p**3/3 + 559. Let i(q) = -4*q**3 + 6*q**2 + 1. Give a*i(g) - 6*v(g).
2*g**3 + 1
Let z(b) = b - 1. Let j(p) = 2*p - 1. Suppose 6*f + 22 = -26. Let y = 4 + -3. Let o be 8*(y + 12/f). Determine o*z(u) + 3*j(u).
2*u + 1
Let i(m) = -m**3 - 2*m + 2. Let a(b) = b**3 - 3*b**2 - 8*b + 9. Determine -a(d) + 3*i(d).
-4*d**3 + 3*d**2 + 2*d - 3
Let u(r) = -1614 + 1614 - r. Let k(q) = 2*q**2 + 2*q - 3. Determine -k(y) - 4*u(y).
-2*y**2 + 2*y + 3
Let j(d) = 260*d - 8. Let r(z) = -87*z + 3. Determine -3*j(a) - 8*r(a).
-84*a
Let j(k) = -k**3 + 9*k**2 + 9*k + 13. Let h be j(10). Let c(b) = -6 + h + 5 - 2*b**2 + 1. Let n(x) = -x**3 + 6*x**2 - 8. Give -8*c(i) - 3*n(i).
3*i**3 - 2*i**2
Let p(q) = -329*q + 10. Let s(c) = 66*c - 2. Determine 2*p(t) + 11*s(t).
68*t - 2
Let t(z) = 22632*z**3 + 738*z**2 + 369. Let a(j) = -123*j**3 - 4*j**2 - 2. What is -369*a(r) - 2*t(r)?
123*r**3
Let a(g) be the third derivative of g**6/120 - g**5/12 - g**4/8 - g**3/3 - 3*g**2 + 5*g. Let j(s) be the first derivative of s**3/3 - 3. Give a(b) + 5*j(b).
b**3 - 3*b - 2
Let r(d) = -4*d**2 - 4*d + 6. Let v(g) = g + 1. Determine r(n) + 4*v(n).
-4*n**2 + 10
Let v(m) = -18*m**2 + 7*m - 7. Let g(l) = -12*l**2 + 5*l - 5. Suppose 4*y = -4*w - 44, 6 + 14 = -4*y + 2*w. Determine y*g(s) + 5*v(s).
-6*s**2
Let v(k) = -1140*k + 72. Let i(z) = -114*z + 7. Give -21*i(a) + 2*v(a).
114*a - 3
Suppose -4*l = 3*j - 35, 3*l - j - 18 = -6*j. Let m(x) = 1 + x**3 - 2 + 0 + 16*x - l*x. Let q(b) = 4*b**3 + 16*b - 4. Give 10*m(g) - 3*q(g).
-2*g**3 + 2*g + 2
Let z(d) = -d. Let v = 693 + -694. Let g(t) = 2*t**2 + 4*t - 1. Determine v*z(k) - g(k).
-2*k**2 - 3*k + 1
Let j(k) = -7*k**3 + 6*k**2 + 12*k + 71. Let y(x) = 6*x**3 - 5*x**2 - 10*x - 72. Determine -5*j(w) - 6*y(w).
-w**3 + 77
Let g(z) = -5*z - 7. Let y(k) = 2*k + 1. Determine 3*g(f) + 6*y(f).
-3*f - 15
Let s(f) = 57*f**3 - 13*f**2 - 13*f. Let x(v) = -29*v**3 + 6*v**2 + 6*v. Determine 6*s(l) + 13*x(l).
-35*l**3
Let f(q) = 1 - 53*q - 56*q - 54*q + 162*q. Let i(h) = 4*h**2 - 16*h + 16. What is 80*f(n) - 5*i(n)?
-20*n**2
Let m(z) be the first derivative of -2*z**4 - z**3/3 + 7*z**2/2 + 2. Let d(a) = -7*a**3 - a**2 + 6*a. Let t be 3 - (5 + -5 - 4). Give t*d(l) - 6*m(l).
-l**3 - l**2
Let x(k) = 3*k**2 - 6*k + 39. Let g(o) = -2*o**2 + 4*o - 26. Calculate 7*g(s) + 5*x(s).
s**2 - 2*s + 13
Let y(l) = -l. Let q(n) = -32 - 26 + 56. What is q(p) - y(p)?
p - 2
Let o(i) = -15*i + 6. Let c(s) = -2. Give 2*c(w) + o(w).
-15*w + 2
Let q(b) = -2*b - 43. Let o(j) = 1. Calculate -o(s) - q(s).
2*s + 42
Let z(i) = i