- 2
Let w(h) be the second derivative of h**3/6 - 13*h**2/2 - 3*h - 2. Let b(z) = -1. Give 78*b(m) - 6*w(m).
-6*m
Let z(r) = -5*r**2 + 2*r. Let o = -1377 - -1382. Let g(d) = 11*d**2 - 5*d - 1. Determine o*z(j) + 2*g(j).
-3*j**2 - 2
Let n(b) = -4*b**3 + b - 3. Let d(u) = 10*u**3 - 3*u**2 + 2*u - 2. Let r(w) = 2*w**3 - w**2 + w - 2. Let y(c) = d(c) - 3*r(c). Determine -4*n(z) - 3*y(z).
4*z**3 - z
Let z(w) = -13*w**3 - 3*w**2 - 2*w. Let f(j) = -38*j**3 - 8*j**2 - 6*j. Determine 4*f(t) - 11*z(t).
-9*t**3 + t**2 - 2*t
Let w(h) = 174*h + 8. Let k(b) = -174*b - 7. Give 6*k(d) + 5*w(d).
-174*d - 2
Let a(o) = 11*o**3 - 2*o**2 - 14. Let b(z) = 141*z**3 - 27*z**2 - 183. Let u(j) = 54*a(j) - 4*b(j). Let p(s) = 6*s**3 - 5. Calculate 24*p(w) - 5*u(w).
-6*w**3
Let n(i) = 4*i**2 - i + 4. Let a(w) = 25*w**2 + 11*w + 3. Let b(g) = 3*g**2 + 2*g - 1. Let y(x) = a(x) - 6*b(x). Calculate 5*n(c) - 3*y(c).
-c**2 - 2*c - 7
Let w(f) = -16*f**3 - 4*f**2 + 13*f - 13. Let z(n) = -20*n**3 - 8*n**2 - 6. Let r(j) = 2*j**3 + j**2 + j. Let y(o) = 6*r(o) + z(o). What is -6*w(p) + 13*y(p)?
-8*p**3 - 2*p**2
Let l(z) = 3*z**3 - 2*z. Let k(b) = 3*b**3 - 2*b. Let r be (76/456)/(2/36). What is r*l(q) - 2*k(q)?
3*q**3 - 2*q
Suppose 0 = -l - 2, 3*c + 5*l = 5*c - 14. Let j(h) = h**3 + h**2 - h - 1. Let r(t) = 3*t**3 + 2*t**2 - 2*t + 10. Calculate c*j(y) - r(y).
-y**3 - 12
Let v(y) be the third derivative of -9*y**5/10 + 2*y**4/3 - 282*y**2 + 1. Let w(p) = -18*p**2 + 5*p. What is 5*v(l) - 16*w(l)?
18*l**2
Let k(u) = -u + 1. Let n(r) = -r. Let o(m) = -10*m + 1. Let y(p) = -11*n(p) + 2*o(p). Calculate -3*k(w) + y(w).
-6*w - 1
Let u(y) = 23*y**3 - 2*y**2 + 2*y. Let d(x) = 1083*x**3 - 95*x**2 + 95*x. Calculate 2*d(v) - 95*u(v).
-19*v**3
Let w(j) = 15*j - 11. Let d(u) be the third derivative of -u**4/6 + u**3/2 + 50*u**2. Determine 22*d(r) + 6*w(r).
2*r
Let m(q) = -3*q**3 - 2*q**2 + 4*q + 2. Let d(j) = -7*j + 75. Let b be d(11). Let h(p) = p**3 + p**2. Determine b*h(x) - m(x).
x**3 - 4*x - 2
Let w(b) be the second derivative of 3*b**5/10 - b**4/2 - 5*b**3/6 - 16*b - 1. Let l(h) = -7*h**3 + 7*h**2 + 6*h. Determine 5*l(z) + 6*w(z).
z**3 - z**2
Let o(k) = -3*k**3 - 7*k**2 + 7. Let b = -10 - -4. Let i(d) = 31 + 41 - d**3 - 70 - 2*d**2. Determine b*o(g) + 21*i(g).
-3*g**3
Let g(n) = 20*n + 20. Let s(d) = 7*d - 133. Let f(v) = -5. Let j(h) = -28*f(h) + s(h). Determine 6*g(y) - 17*j(y).
y + 1
Suppose 3*p + 2*f - 80 = -p, 5*p + 4*f = 94. Let q = -16 + p. Let h(w) = 12 + 8*w - 1 - 12. Let o(z) = -23*z + 3. Determine q*o(t) + 17*h(t).
-2*t + 1
Let t(p) = -18*p**3 + 9*p**2 - 4*p. Let f(v) = 7*v**2 + 53*v - 83. Let h be f(-9). Let y(i) = 9*i**3 - 5*i**2 + 2*i. Determine h*y(u) + 4*t(u).
-9*u**3 + u**2 - 2*u
Let p(k) = 0 + 12*k - 3*k + 2 + 1. Let q(u) = 10*u + 4. Let n(h) = -5*p(h) + 4*q(h). Let i(x) = 3 - 4 - 4 + 7 - 14*x. Determine 3*i(z) - 8*n(z).
-2*z - 2
Let o(j) = 2*j**2 + 6*j - 3. Let z(g) be the first derivative of 4*g**3/3 + 13*g**2/2 - 7*g + 120. Determine -13*o(n) + 6*z(n).
-2*n**2 - 3
Suppose -5*w - 12 + 2 = -3*m, -3*m - 4 = 2*w. Let r(q) = q**3. Let f(h) = -6*h**3 + 3*h - 4*h + h. What is w*f(g) - 11*r(g)?
g**3
Let y(u) = 86*u + 11. Let b(z) = -2*z - 1. Determine -66*b(k) - 6*y(k).
-384*k
Let m(k) = k**3. Let z(f) = -2*f**3 + 6. What is 6*m(n) + z(n)?
4*n**3 + 6
Let r(y) = 4*y - 13. Let p(a) = a. Determine -6*p(j) + r(j).
-2*j - 13
Let o(f) = 2*f. Let n(t) = -8*t. Suppose -5*l + 2 = -2*v, -l - l - 10 = -2*v. Calculate v*o(k) + 2*n(k).
2*k
Let h(f) = -4*f**2 - 12*f - 2. Let n(w) = -2*w**2 - 11*w - 2. Determine -6*h(m) + 7*n(m).
10*m**2 - 5*m - 2
Let n(z) = z**3 - z**2 + 1. Let q(x) = -3*x**3 + 2*x**2 - 2. Suppose 0 = -7*a + 8*a + 6. Calculate a*n(d) - 3*q(d).
3*d**3
Let k(i) = 7*i**3 + 5*i**2 - 3. Let s(v) = -8*v**3 - 7*v**2 + 2*v + 4. Give 4*k(c) + 3*s(c).
4*c**3 - c**2 + 6*c
Let w(p) = -p**2 + 3*p. Let d(a) = 188*a**2 + 18*a. What is -d(m) + 5*w(m)?
-193*m**2 - 3*m
Suppose 27*l = 21*l - 6. Let j(n) = -n. Let o(a) = a**3 - 3*a**2 - 6*a - 2. Calculate l*o(t) + 6*j(t).
-t**3 + 3*t**2 + 2
Let x(b) = 4*b**3 - b**2 - b + 3. Let z be 4 - (-5)/(-1) - 2. Let j = 6 + z. Let n(v) = v**3 - v**2 - v + 1. Give j*n(u) - x(u).
-u**3 - 2*u**2 - 2*u
Let a(n) = n**2 + n + 2. Let o(j) = -j + 50. Calculate -2*a(c) - o(c).
-2*c**2 - c - 54
Let m(s) = 7*s - 5. Let j(n) = 6*n - 4. Let k be ((-12)/(-14))/(24/112). Suppose k*i - a - 13 = 0, -i - 2*i + 3*a + 3 = 0. What is i*j(b) - 3*m(b)?
3*b - 1
Let u = 33 - 46. Let z(d) be the second derivative of d**4/3 - 3*d**3/2 - 11*d**2/2 + 5*d - 324. Let t(s) = 2*s**2 - 4*s - 5. Determine u*t(c) + 6*z(c).
-2*c**2 - 2*c - 1
Let y(c) = -18*c - 19. Let b(p) = -16*p - 18. Calculate 4*b(n) - 3*y(n).
-10*n - 15
Let p be (-20)/4*1 - 0/(-1). Let y(m) = 0*m - m - 4 + 0. Let l(j) = 1. Determine p*l(c) - y(c).
c - 1
Let n = -1 - -2. Let j(u) = -u. Let r(x) be the first derivative of -x**2 + 2*x - 244. Calculate n*r(q) - j(q).
-q + 2
Let d(r) = -r**3 - r**2 + 1. Let f be d(1). Let t(k) = -2 - 3 + 3*k - 2*k. Let w(i) = 13 - 6 - 1 - 2 - 3. Give f*t(m) - 3*w(m).
-m + 2
Let n(u) be the first derivative of 2*u**3/3 + 5*u**2/2 - u - 1. Let h(q) = -2*q**2 - 4*q + 1. Suppose 8944*j = 8934*j - 40. Determine j*h(l) - 3*n(l).
2*l**2 + l - 1
Let f(h) = h**3 + h - 1. Let q(m) = 2*m**3 - 2*m**2 + 4*m - 4. Suppose 947*z + 4 = 951*z. Calculate z*q(j) - 4*f(j).
-2*j**3 - 2*j**2
Let c(i) = 15*i**3 + 89*i**2 + 17*i - 17. Let z(v) = -5*v**3 - 30*v**2 - 6*v + 6. What is 6*c(j) + 17*z(j)?
5*j**3 + 24*j**2
Let k(p) = -6*p**3 + 5*p**2 + p - 4. Let y be ((-248)/28 + 8)/((-6)/28). Let b(r) = -r**3 + r**2 - 1. Determine y*b(l) - k(l).
2*l**3 - l**2 - l
Let i(v) = -5*v**3 + 2*v**2 - 19*v + 8. Let k(g) = 6*g**3 - 2*g**2 + 19*g - 12. Calculate 3*i(h) + 2*k(h).
-3*h**3 + 2*h**2 - 19*h
Suppose -23*f - 12 = -26*f. Let v(w) = 2*w - 9. Let k(n) = -n + 5. What is f*v(j) + 7*k(j)?
j - 1
Let v(y) be the third derivative of -y**5/60 - 3*y**4/8 + y**3/2 + 638*y**2. Let z(l) = -l**2 - 10*l + 4. Calculate -3*v(j) + 2*z(j).
j**2 + 7*j - 1
Let q(t) = t - 1. Let h = 8 - 22. Let v(f) be the second derivative of 2*f**3/3 - 2*f**2 - 2*f. What is h*q(y) + 4*v(y)?
2*y - 2
Let v(a) = 7*a + 87. Let l(j) = 3*j + 44. What is 5*l(d) - 3*v(d)?
-6*d - 41
Let i(b) = 4*b**3 - 2*b**2 - 1 - 2*b**2 + 3*b - 2. Let r(x) = -x**3 + x**2 - x + 1. Suppose -40*u + 17 = -23. Give u*i(k) + 3*r(k).
k**3 - k**2
Let m(c) = 0 + 3*c - 1 - 2*c. Let k(a) = a - 1. Let n(y) = -y. Let v be (14 + -13)/(1/2). Let j(h) = v*k(h) - n(h). Give j(z) - 4*m(z).
-z + 2
Let m(x) = 274*x - 11. Let r(y) = -182*y + 7. Calculate 5*m(a) + 8*r(a).
-86*a + 1
Let i(u) = -2*u + 4. Let h(a) be the first derivative of 3*a**2/2 - 6*a - 16. Suppose 14 = -4*g + 2*g. Calculate g*i(x) - 5*h(x).
-x + 2
Let c be (2 - -70) + 0 + 1 + 0. Let r(a) = -144 + 72 + 4*a + c. Let v(q) = 7*q + 1. Give -5*r(s) + 3*v(s).
s - 2
Let x(d) = -160*d + 2. Let s(a) = 320*a - 4. Determine -3*s(c) - 5*x(c).
-160*c + 2
Let k(c) = 11*c + 9. Let s(y) be the first derivative of 7*y**2/2 + 6*y - 23. Let m(d) = -5*k(d) + 8*s(d). Let o(x) = 6*x + 15. What is -11*m(a) + 2*o(a)?
a - 3
Let p(y) = -24*y**3 - 11*y + 11. Let v(h) be the second derivative of -h**5/4 - h**3/3 + h**2 + 5*h - 3. Determine -2*p(t) + 11*v(t).
-7*t**3
Suppose 2 = -0*p + p. Let o be 75/(-5) - (-4)/p. Let q(h) = 15*h - 15. Let d(t) = 3*t - 6*t - 4*t + 7 + 0*t. Calculate o*d(i) - 6*q(i).
i - 1
Let r(d) = 11*d**2 + 11*d - 4. Let a(m) = 10*m**2 + 9*m - 3. Determine 6*a(n) - 5*r(n).
5*n**2 - n + 2
Let h(q) = -2*q**2 + 3*q + 3. Let a(y) = 4*y**2 - 1 - 6 - 7*y + 0. Let p(z) = -2*z + 7. Let b be p(7). Determine b*h(d) - 3*a(d).
2*d**2
Let k(p) = 1. Suppose 20*i - 16*i = 12. Let c be (1 - i)/(-6 + 6 + -2). Let v(b) = 2*b - b + 0*b. Give c*k(q) - v(q).
-q + 1
Let o(a) = -12*a**3 - 2*a**2 - 2*a - 2. Let c(q) = 35 - 895*q**2 + 205*q**3 + 5*q + 930*q**2 + 30*q. What is 2*c(i) + 35*o(i)?
-10*i**3
Let a(w) = w**2 - w - 1. Let b(v) = -26*v**2 - 12*v + 84. Let i(f) = -5*f**2 - 2*f + 16. Let n(o) = 3*b(o) - 16*i(o). Calculate -7*a(x) + 2*n(x).
-3*x**2 - x - 1
Let h(g) = -1. Let v(d) be the first derivative of -2*d**3/3 + 8*d - 236. What is -40*h(b) - 5*v(b)?
10*b**2
Let l(q) = -3*q + 1. Suppose -s + 3 = -49. Let a(i) = 25*i + 25*i - s*i. Determine 5*a(t) - 4*l(t).
2*