
Let k(t) be the first derivative of t**3 + t**2/2 - 5*t - 1. Let x(h) = 2 - 56*h**2 + 109*h**2 - 55*h**2. Determine -2*k(r) - 5*x(r).
4*r**2 - 2*r
Let s(f) = f**2. Let p = -8 + 13. Suppose 13 = -z + 14*z. Let u(n) = -3*n**2 - 2. Determine p*s(v) + z*u(v).
2*v**2 - 2
Let a(m) be the third derivative of 5*m**2 + 0 + 0*m + 17/24*m**4 + 7/3*m**3. Let l(y) = -5*y + 1 + 3*y - 6 - 4*y. Calculate 4*a(b) + 11*l(b).
2*b + 1
Let o = -277 + 287. Let w(x) = -2*x + 1. Let t(s) = -18*s + 3 + 15*s - 1. Let n(u) = 6*u - 4. Let h(p) = 3*n(p) + 7*t(p). What is o*w(q) - 6*h(q)?
-2*q - 2
Let g(d) = -9*d + 27. Let x(i) = -i. Determine -g(p) + 12*x(p).
-3*p - 27
Let f(k) = 4*k**3 - 9*k**2 + 5*k + 5. Let q(x) = 5*x**3 - 10*x**2 + 6*x + 6. Suppose -4 = 4*n + 5*m, 6*m - 7*m - 20 = 4*n. Calculate n*f(t) + 5*q(t).
t**3 + 4*t**2
Let j(y) = 49469*y**2 + 1528*y - 1528. Let b(k) = 194*k**2 + 6*k - 6. Calculate -764*b(p) + 3*j(p).
191*p**2
Let h(l) = l - 1. Let y(g) = 4*g + 8. Let d(z) = 5*h(z) + y(z). Let p(s) = 8*s + 3. Calculate 6*d(q) - 7*p(q).
-2*q - 3
Let u(x) = -3*x - 3. Let n = -20 + 23. Let f(k) = 6*k - 3*k - n*k - 5 - 6*k. Calculate 3*f(o) - 5*u(o).
-3*o
Let i(c) = 5*c - 3. Let z(b) = 13*b - 9. Let w(k) = -8*i(k) + 3*z(k). Let y(t) = -1. Determine -w(g) + 4*y(g).
g - 1
Let a(i) = i**3 + 2*i**2 - i + 1. Let g(j) = -3*j**3 + 4*j**2 - 4*j - 3. Determine -4*a(o) + g(o).
-7*o**3 - 4*o**2 - 7
Let r(k) = -3*k**2 - 5*k. Let a(o) = -o**3 + 3*o**2 + 4*o - 10. Let y be a(3). Let h(b) = 7*b + 3*b**y - 3*b + 2*b. Give -4*h(i) - 5*r(i).
3*i**2 + i
Let o(k) = -4*k - 1. Suppose 234 = 31*g + 8*g. Let q(a) = 17*a + 4. What is g*q(c) + 26*o(c)?
-2*c - 2
Let f(h) = -6*h**2 + 35*h + 10. Let a(c) = 6*c**2 - 34*c - 8. Calculate -6*a(b) - 5*f(b).
-6*b**2 + 29*b - 2
Let t(i) = -i**2. Let h(s) = s**2 + 152*s. Calculate -h(p) - 3*t(p).
2*p**2 - 152*p
Suppose 5054 = 5*y + 5024. Let v(z) = z**2 - z + 3*z**2 - 5*z**2 - z**3. Let x(c) = 2*c**3 + 3*c**2 + 3*c. Calculate y*v(s) + 2*x(s).
-2*s**3
Let u(z) = -2*z - 30 + 4 + 11 + 11. Let a(h) = 5*h - 5. Let o be a(0). Let f(b) = -3*b - 5. Determine o*f(d) + 6*u(d).
3*d + 1
Let b(a) = 3*a**3 - 7*a**2 + 6*a. Let g(o) = o**3 - 2*o**2 + 2*o. Let h be (-34)/(-85) + (-33)/(-5). What is h*g(z) - 2*b(z)?
z**3 + 2*z
Let n(i) = -11*i**2 + 7*i - 16. Let f(x) = -4*x**2 + 2*x - 5. What is -7*f(j) + 2*n(j)?
6*j**2 + 3
Let u(a) be the second derivative of 0 - a + a**2 - 5/6*a**3. Let g(s) = -s - 2. Let w(q) = -7*q - 9. Let x(k) = -10*g(k) + 2*w(k). Give 3*u(m) - 4*x(m).
m - 2
Let n(v) = -8*v**2 + 2*v - 1. Let w(m) = 23*m**2 - 5*m + 3. Suppose 140*h - 169*h + 493 = 0. What is h*n(f) + 6*w(f)?
2*f**2 + 4*f + 1
Let d(f) = -44*f**2 + 36*f + 6. Let r(l) = -3*l**2 + 2*l + 1. Determine d(v) - 14*r(v).
-2*v**2 + 8*v - 8
Let i(h) = 22*h**2 + 5*h**2 + 13*h**2 - 35*h**2 - 2*h - 2. Let r(w) = 10*w**2 - 5*w - 5. Determine 10*i(g) - 4*r(g).
10*g**2
Let i(d) = 13*d**3 + 2*d**2 + 4*d. Let p = 282 - 291. Let n(v) = -6*v**3 - v**2 - 2*v. Give p*n(j) - 4*i(j).
2*j**3 + j**2 + 2*j
Let i(n) = -2*n**3 + n**2 + 5*n - 4. Let g(v) = -v**3 + 4*v - 3. Let m = -394 - -390. What is m*g(d) + 3*i(d)?
-2*d**3 + 3*d**2 - d
Let v(l) = 9*l + 5. Let p(f) = -10*f - 6. Let t = 645 - 639. What is t*v(y) + 5*p(y)?
4*y
Let p(a) = 7*a**2 - 6*a + 2. Let x(t) = -t**2 + t. Let z(c) be the second derivative of -c**3/6 + 7*c**2 - 24*c. Let f be z(13). Calculate f*p(d) + 6*x(d).
d**2 + 2
Let x(w) = -7*w**3 + 4*w**2 + 4. Let g(m) = 8*m**3 - 3*m**2 - 3. Let u(a) = -57*a - 117. Let d be u(-2). Give d*x(s) - 4*g(s).
-11*s**3
Let t(z) = 193*z + 6. Let j(p) = 9265*p + 289. What is -6*j(i) + 289*t(i)?
187*i
Let q(g) be the first derivative of 3*g**4/2 - 5*g**3/3 - 7*g**2/2 + 5*g - 142. Let w(p) = p**3 - p**2 + 1. What is q(y) - 5*w(y)?
y**3 - 7*y
Let i(b) = 97*b + 5. Let a(o) = 96*o + 6. What is -5*a(m) + 6*i(m)?
102*m
Let i(b) = -24*b + 10. Let j(r) = -8*r + 4. Calculate 4*i(h) - 11*j(h).
-8*h - 4
Let z(n) = n - 9. Let h be z(10). Let q(v) = h + 7*v + 9 - 2. Let a(o) = 3*o + 4 - 3 - 2*o. Calculate -24*a(u) + 3*q(u).
-3*u
Let l(m) = -4*m - 205. Let r(n) = 6*n + 204. Determine 4*l(a) + 3*r(a).
2*a - 208
Let d(p) = 6*p**3 + 11*p**2 + 16*p + 11. Let z be 90/(-20)*((-5)/(-3) - 3). Let n(h) = -h**3 - 2*h**2 - 3*h - 2. Give z*d(m) + 33*n(m).
3*m**3 - 3*m
Let a(i) = i + 3. Let j(o) be the second derivative of -2*o**3/3 - 13*o**2/2 + 13*o - 41. Suppose 3*r = -0*r - 6. Calculate r*j(p) - 9*a(p).
-p - 1
Let a = -9 - -6. Let w be (-18)/(-12)*(-2 + 6/(-9)). Let v(m) = -4 - 3*m + 5 - 3. Let b(y) = 2*y + 1. Calculate a*v(f) + w*b(f).
f + 2
Suppose -2*k + 31 = -2*q + 7*q, -k = -q + 2. Let d(a) = -3*a + 1 - k*a**2 + 4*a**2 + 3*a. Let l(h) = -h**2. Calculate -2*d(w) - 3*l(w).
w**2 - 2
Let z(y) = 71*y**2 + 6. Let l(i) = 5893*i**2 + 497. Give -6*l(j) + 497*z(j).
-71*j**2
Let k(x) = 58*x - 6. Let y(p) = -63*p + 7. Determine 5*k(j) + 4*y(j).
38*j - 2
Let z(i) = -2*i - 2. Let c(f) = 253*f + 14. Calculate -3*c(w) - 21*z(w).
-717*w
Let x(n) be the third derivative of 0*n + 0 - 2*n**2 + 1/8*n**4 + 1/2*n**3. Let k(o) = 9*o + 8. Determine 3*k(g) - 8*x(g).
3*g
Let p(t) be the third derivative of -t**4/4 - 2*t**2 + 80. Let r(j) = 7*j + 1. Give 4*p(i) + 3*r(i).
-3*i + 3
Let v(p) = 4*p + 2. Let k(m) = -2*m**2 - 4*m - 1. Let y be k(-2). Let x(g) be the third derivative of g**4/24 + 5*g**2. What is y*v(r) + 3*x(r)?
-r - 2
Let i(j) = 9*j**3 - 7*j**2 - 6*j. Suppose -18 = 5*l - 3*t, 4*l + 2*t + 20 = 3*t. Let f(o) = 10*o**3 - 8*o**2 - 7*o. Give l*f(n) + 7*i(n).
3*n**3 - n**2
Let u(h) = -h. Let v(z) = 5*z - 3. Let s = -12 - -16. Let p be s/(-10) + (-38)/(-95). Let c = -1 + p. Determine c*v(f) - 3*u(f).
-2*f + 3
Let p(s) = 265*s**2 + 2*s - 270*s**2 - 7*s. Let n(u) = -u**2. Let c(m) = 2*m**2 - 3*m. Let v(w) = -c(w) - 4*n(w). What is -3*p(k) - 5*v(k)?
5*k**2
Let x(a) = -2*a**3 - 5*a**2 - 12*a - 6. Let v be 3 - 7/(-2)*(-24)/(-42). Let k(c) = 2*c**3 + 4*c**2 + 11*c + 5. Give v*k(t) + 4*x(t).
2*t**3 + 7*t + 1
Let g(a) = -51. Let o(r) = -270. Let c(b) = 16*g(b) - 3*o(b). Let z(m) = m - 1. What is -c(h) + 5*z(h)?
5*h + 1
Let r(y) = y + 1. Let p(w) = 9*w + 103. Determine p(x) - 4*r(x).
5*x + 99
Let v(x) = 286*x - 48. Let h(p) = 143*p - 27. What is -7*h(q) + 4*v(q)?
143*q - 3
Let f(w) = -2*w - 2. Let g(s) = -5*s - 3 + 5 - 5 - 2. Calculate -8*f(y) + 3*g(y).
y + 1
Let k(o) = o + 4. Suppose 2*b - 9 = 5*b. Let c be k(b). Let i(r) = 18*r**2 + 4*r**3 - 19*r**2 - 3*r**3. Let y(w) = -w**3 + 2*w**2 - 2. What is c*y(t) + 3*i(t)?
2*t**3 - t**2 - 2
Let i(s) = 6*s**3 + 5*s**2 - 5*s + 48. Let x(o) = -5*o**3 - 4*o**2 + 4*o - 49. Give -4*i(h) - 5*x(h).
h**3 + 53
Let o(z) = 475*z - 1. Let n(m) = 468*m - 1. Calculate 4*n(w) - 3*o(w).
447*w - 1
Let i(x) be the third derivative of x**6/120 - x**5/20 + x**4/12 + x**2 + 135. Let n(s) = -6*s**3 + 16*s**2 - 11*s - 1. What is -11*i(b) - 2*n(b)?
b**3 + b**2 + 2
Let j(v) = -10*v**2 - 2*v. Let y(p) = -49*p**2 - 11*p. Let c(k) = k**2 - 13*k - 179. Let t be c(21). What is t*j(n) + 2*y(n)?
12*n**2
Let x = 18 - 14. Suppose x*d - d - 9 = 0. Let m(k) = -5*k**2 + 2*k + k**2 + 2*k**d + 3*k**2 - 1. Let y(s) = s. Give m(j) - 2*y(j).
2*j**3 - j**2 - 1
Let v be (-9 - (-572)/65)/(1/(-865)). Suppose 5*l = 5, 693 = 3*x + x + l. Let y(u) = x*u - v*u + 3 + 2*u**3. Let t(s) = 2*s**3 + 3. Determine -6*t(n) + 7*y(n).
2*n**3 + 3
Let z be (5 - 8)*(-10)/6. Let f(q) = 28*q**3 + 21*q**2 + 21*q + 21. Let k(a) = 7*a**3 + 5*a**2 + 5*a + 5. Calculate z*f(v) - 21*k(v).
-7*v**3
Let r(l) = l - 3. Let p(n) = -2. Let b = 319 + -321. What is b*r(d) + 3*p(d)?
-2*d
Let j(u) = 268*u + 19. Let h(b) = 537*b + 43. Calculate -4*h(f) + 9*j(f).
264*f - 1
Let y(a) = -59*a**3 - 3*a**2 + a. Let o(s) = -57*s**3 - 2*s**2 + 2*s. What is 3*o(d) - 2*y(d)?
-53*d**3 + 4*d
Let i(g) = g - 5. Let t(c) be the third derivative of 1/24*c**4 - 1/2*c**3 + 0*c - 12*c**2 + 0. Give 3*i(b) - 5*t(b).
-2*b
Let y(o) = 95*o - 30. Let h(i) = -3*i + 1. What is -150*h(p) - 5*y(p)?
-25*p
Let f(u) = -u**3 + u**2 + 5*u. Let b(n) = n**3 - 2*n. Let q be 0 + (0 - -1)/((-3)/(-15)). What is q*b(r) + 2*f(r)?
3*r**3 + 2*r**2
Let f(l) = l**2. Let v(u) be the first derivative of -3*u**4 - u**3 + 297. Determine 3*f(j) + v(j).
-12*j**3
Let g(a) = a. Suppose -3*h + 82 = 4*y + 63, y - 16 = -3*h. Let i(v) = v + 1. Let q(m) = -