ine b*p(c) + 2*v(c).
2*c
Let f(d) be the third derivative of -d**6/120 + d**5/30 - d**4/12 + 26*d**2. Let k(x) = -5*x**3 + 11*x**2 - 11*x. What is -11*f(u) + 2*k(u)?
u**3
Let x(w) = 15*w + 298. Let b(g) = -8*g - 148. What is -11*b(u) - 6*x(u)?
-2*u - 160
Let h(b) = 83*b - 13. Let c(j) = 84*j - 15. Calculate -5*c(l) + 6*h(l).
78*l - 3
Let g(v) = -v. Suppose 4*b = -65 + 81. Let w(a) = 4*a**2 - 3*a - 7. Let y(x) = -5*x**2 + 4*x + 8. Let d(o) = -7*w(o) - 6*y(o). What is b*g(l) - d(l)?
-2*l**2 - l - 1
Let l(q) = 1064*q - 154. Let j(m) = 28*m - 4. Determine -231*j(d) + 6*l(d).
-84*d
Let k(p) = 20*p - 2 + 16*p - 42*p. Let f(t) = 1 + 3 - 3 + 4*t. What is -7*f(l) - 5*k(l)?
2*l + 3
Let m(r) = 5*r - 1. Let f = 3 - 8. Let u(c) be the third derivative of c**4/4 - c**3/6 + 12*c**2 - 14*c. Determine f*m(v) + 4*u(v).
-v + 1
Suppose -3*u + 2 = -5*u. Let o be 10 + u - (-3)/3. Suppose -6*n = -n - o. Let r(d) = d**2 - 2*d + 2. Let p(h) = -2*h**2 + 7*h - 7. Determine n*p(q) + 7*r(q).
3*q**2
Let i(q) = -5*q**2 - q + 3. Let r(b) be the first derivative of 7*b**3 + 2*b**2 - 13*b - 46. What is 9*i(f) + 2*r(f)?
-3*f**2 - f + 1
Let y(q) = -q**3 + 3*q + 2. Let w(b) = -207*b + 2. Determine w(r) - 2*y(r).
2*r**3 - 213*r - 2
Let d(v) = 4*v - 385. Let f(q) = -2*q + 193. Determine -3*d(w) - 7*f(w).
2*w - 196
Let l(d) = 14*d - 10. Let c(m) = -44*m + 30. Calculate 3*c(p) + 10*l(p).
8*p - 10
Let d(h) = -h**2 - h + 1. Let r(p) be the first derivative of -p**3 - p**2/2 - 46. Give d(o) - r(o).
2*o**2 + 1
Let j(c) = -6*c**2 - 2. Let m(u) = 4 - 2*u**2 + 14*u**2 - 2*u**2 + 21*u**2 + 7. What is -11*j(k) - 2*m(k)?
4*k**2
Let k(c) = -4*c**2 - 42*c + 9. Let i(a) = -9*a**2 - 86*a + 19. Give -3*i(h) + 7*k(h).
-h**2 - 36*h + 6
Let t(a) = -7*a + 2. Suppose -2*s + 5 - 6 = -3*p, -3*p + 8 = 5*s. Let y(c) = c. Calculate p*t(j) + 4*y(j).
-3*j + 2
Let u be (-6)/4 - 26/(-4). Let z(p) = 4 - 2*p + 4*p - u - 3. Let l = -7 + 5. Let c(q) = -2*q + 5. Determine l*c(x) - 3*z(x).
-2*x + 2
Let f(n) = 16*n - 9. Let b(g) = -g**2 + 18*g - 76. Let t be b(9). Let r(a) = 11*a - 6. Give t*f(u) - 7*r(u).
3*u - 3
Let y(p) = 3*p**3 - 10*p**2 + 49*p - 26. Let q(j) = -j**3 + 3*j**2 - 17*j + 9. Give -17*q(x) - 6*y(x).
-x**3 + 9*x**2 - 5*x + 3
Let v(r) = -3*r - 8. Let s(o) = -o**2 - 12*o - 14. Let p be s(-9). Let i(j) = -p - j - 14 + 24. Give 11*i(n) - 4*v(n).
n - 1
Let i = 2 + 3. Let j(y) = -3*y**2 + 2*y**2 + i*y + y + 2. Let m(d) = d. Let v(a) = -a. Let p(z) = 4*m(z) + 5*v(z). What is j(n) + 4*p(n)?
-n**2 + 2*n + 2
Let t(y) = -10*y**2 - 3*y - 3. Let a(k) = -9 - 14*k - 52*k**2 - 15 + 3*k**2 + 10. What is -3*a(h) + 14*t(h)?
7*h**2
Let u(s) = 4*s**3 - 2*s**2 - 6*s + 2. Let w(x) = -4*x**2 + 4*x**3 - 9 + x**3 + x**2 + 12 - 7*x. Calculate 3*u(p) - 2*w(p).
2*p**3 - 4*p
Let i(b) = b. Let w(p) = -p - 1. Suppose -138*j + 140*j - 4 = -2*l, -4*l - 5*j = -9. Give l*i(d) - w(d).
2*d + 1
Let a(b) = 2*b**3 + b. Let n be (-28)/(-15) + 6/45. Suppose n*d + 10 = 4*c, 0*c = 2*d + 4*c - 6. Let u(g) = g**3 + g. Calculate d*a(s) + u(s).
-s**3
Let g(c) = 8*c**3 + c**2 + 6*c - 3. Suppose 12*t - 4*o - 30 = 9*t, -5*t + 2*o + 36 = 0. Let w(n) = -n**3 - n + 1. What is t*w(y) + g(y)?
2*y**3 + y**2 + 3
Let l be -22 - (2 + -3)*0. Let k(v) = 11*v**2 + 1 + 3 + 9 + v**3 + 0. Let d(i) = i**2 + 1. What is l*d(j) + 2*k(j)?
2*j**3 + 4
Let s(i) = 7*i**3 + 10*i**2 + 5*i + 5. Let p(v) = 3*v**3 + 5*v**2 + 2*v + 2. Let z(t) = 114*t - 451. Let n be z(4). Give n*p(x) - 2*s(x).
x**3 + 5*x**2
Let x(n) be the first derivative of -4*n**3/3 + n**2/2 - n + 75. Let u(f) = -7*f**2 - 5 + 0*f**2 - 7*f**2 + 5*f - 7*f**2. Give 2*u(j) - 11*x(j).
2*j**2 - j + 1
Let y(f) = -87*f**3 - 6*f**2 + 6. Let p(m) = -175*m**3 - 13*m**2 + 13. Give 6*p(w) - 13*y(w).
81*w**3
Let l(m) = -6*m**2 - m + 2. Let b(n) be the first derivative of -2*n - 15 + 1/2*n**2 + 5/3*n**3. Give -5*b(y) - 4*l(y).
-y**2 - y + 2
Let f(k) be the second derivative of -k**3/6 - k**2 + k. Let y(d) = -d. Let o = 1 + -3. Let z be (-1)/o + 15/6. Calculate z*y(u) - f(u).
-2*u + 2
Let n be (1 + -6)*(-1)/((-1)/(-1)). Let b(c) = 52 - 49 - 2*c**2 + c + n*c**2. Let a(h) = 6*h**2 + 2*h + 5. What is 3*a(j) - 5*b(j)?
3*j**2 + j
Let i(f) = -661*f**3 - 2*f**2 + 2*f + 2. Let g(r) = 2402735*r**3 + 7271*r**2 - 7271*r - 7271. What is -2*g(m) - 7271*i(m)?
661*m**3
Let s(q) = -7*q**2 - 1481*q - 5. Let c(x) = -3*x**2 - 744*x - 2. Determine -5*c(g) + 2*s(g).
g**2 + 758*g
Let t(b) = -3*b**2 - b. Let v(h) = -50*h**2 - 8*h. Give -10*t(r) + v(r).
-20*r**2 + 2*r
Let z(d) = -2*d - 2*d - 2 + 0. Suppose -119*c + 20 = -115*c. Let n(k) = -8*k - 5. Give c*z(u) - 2*n(u).
-4*u
Let u(q) = 653*q**2 - 3. Let g(a) = -653*a**2 + 4. Give -5*g(f) - 6*u(f).
-653*f**2 - 2
Let q = 5 + -2. Let u(x) = 4*x + 2. Let k(a) = 872*a + 0 - 3 - 877*a. Give q*k(b) + 4*u(b).
b - 1
Let f(d) = 7*d**2 - 2*d - 2. Let p(z) = 3 + 7*z**2 - 7*z + 10*z + 9*z**2 - 22*z**2. What is -3*f(n) - 2*p(n)?
-9*n**2
Let j(c) = -c**2 + 4*c + 3. Suppose -16*x + 3 = -15*x. Let w(r) = 3*r + 2. Give x*w(g) - 2*j(g).
2*g**2 + g
Let j(f) = -9*f + 4. Let o(c) = 17*c - 9. Determine 5*j(w) + 2*o(w).
-11*w + 2
Let i(n) = 0 - 4*n + 2 - 1. Suppose 4*b - m = -7, -15*m + 14*m + 10 = -5*b. Let z(o) = -o. Determine b*z(h) + i(h).
-h + 1
Let r(y) = 13*y**3 - 3*y**2 + 4*y - 1. Let h(a) = 13*a**3 - 2*a**2 + 3*a. What is 3*h(v) - 2*r(v)?
13*v**3 + v + 2
Let q(g) = -2*g**2 + 10*g - 10. Let u(b) = b - 1. Let o = 0 + -2. Suppose -45 = -2*j - p, 5*j - 23 - 57 = 4*p. Calculate j*u(a) + o*q(a).
4*a**2
Suppose 4*w + 20 = -0*w. Let f(k) = -2*k - 3. Suppose 19*s - 64 - 107 = 0. Suppose -s*c = 20*c - 116. Let g(t) = -2*t - 2. Calculate c*f(q) + w*g(q).
2*q - 2
Let b(d) = 21*d + 4. Let s(z) = 106*z + 19. Calculate 11*b(u) - 2*s(u).
19*u + 6
Let t(y) = -2*y**3 - y**2 + y - 1. Let q(x) = -3*x**3. Give q(m) + t(m).
-5*m**3 - m**2 + m - 1
Let q(a) = a**2 - 25*a + 24. Let c be q(28). Let k(j) = -c*j + 57*j + 52*j. Let f(n) = n - 2. Let m(s) = s**2 - 4*s + 4. Let v be m(3). Give v*f(w) - 4*k(w).
-3*w - 2
Let n(p) = -3*p**2 - 2*p. Let k(x) = 14*x**2 + 11*x. Let o = -150 - -152. Calculate o*k(c) + 11*n(c).
-5*c**2
Suppose -15 + 3 = 2*g. Let q(j) = -7*j - 1. Let m(r) = -r. Let b(l) = g*m(l) + q(l). Let k(p) = p. Determine b(o) + 3*k(o).
2*o - 1
Let a(r) = 2*r**2 + 5*r. Suppose 0 = 4*s + 2*w + 2, -22*s - 4*w + 14 = -20*s. Let u(d) = 4*d**2 + 9*d. Calculate s*u(y) + 5*a(y).
-2*y**2 - 2*y
Let t(h) = 473*h - 17. Let s(b) = 158*b - 5. Calculate 7*s(a) - 2*t(a).
160*a - 1
Let f(h) = -h**3 - 2*h**2 + 4*h. Let y(w) = -w**3 - 6*w**2 + 2. Let r be y(-6). Let s(q) = 13*q**2 - 20*q**r + q + 0*q + 6*q**2. What is -f(m) + 3*s(m)?
m**3 - m**2 - m
Let j(v) = -31*v**2 - 5*v + 133. Let a(l) = -111*l**2 - 18*l + 465. Give 5*a(b) - 18*j(b).
3*b**2 - 69
Let m(t) = -54*t + 3. Let v(u) = 162*u - 10. Determine -14*m(j) - 4*v(j).
108*j - 2
Let j(n) = -7*n. Let b(m) = 42*m + 1. Calculate b(z) + 5*j(z).
7*z + 1
Let z(g) = g**2 + g - 1. Let h(n) be the third derivative of n**5/20 + n**4/4 - n**3 - 250*n**2. What is h(r) - 6*z(r)?
-3*r**2
Let f be (-2)/2*-9*(-14)/63. Let n(q) = 8*q**3 + 2*q**2 + 3*q. Let p(t) = 33*t**3 + 9*t**2 + 13*t + 1. Determine f*p(o) + 9*n(o).
6*o**3 + o - 2
Let z(k) = -k**3 + 4*k**2 + 4*k. Let b(n) = 6*n**3 - 21*n**2 - 21*n. Suppose -3*x - 63 = -4*i, 16*i = 11*i. Give x*z(y) - 4*b(y).
-3*y**3
Let y(o) = -3*o - 85. Let d(f) = 8*f + 255. Determine -4*d(p) - 11*y(p).
p - 85
Let b(i) = -11*i**3 + 17*i**2 - 34*i - 21. Let n(y) = 4*y**3 - 6*y**2 + 12*y + 7. Give 6*b(s) + 17*n(s).
2*s**3 - 7
Suppose 20 = 4*f + 4*z, -2*z = -2*f - z + 1. Let x(q) = -2*q**3 - 3*q. Let o(i) = -i**2 + i. Give f*o(v) + x(v).
-2*v**3 - 2*v**2 - v
Let p = 3 + -1. Let a = -32 + 37. Let d(c) = c - 3 - a*c + p*c. Let f(l) = 5*l + 8. Give -8*d(m) - 3*f(m).
m
Let l(t) = 3*t**2 + 102*t + 3. Let j(i) = 9*i**2 + 309*i + 8. Determine -3*j(r) + 8*l(r).
-3*r**2 - 111*r
Let y(d) = d + 1. Let u(n) = 2*n + 4. Let c(q) = -2*u(q) + 7*y(q). Let h(t) = -t. Suppose -136 = s - 140. What is s*h(j) + c(j)?
-j - 1
Let b(s) = 17*s - 22. Let j(g) = -15*g + 22. Calculate 3*b(y) + 4*j(y).
-9*y + 22
Let g(n) be the second derivative of -n**4/12 + 22*n. Let b(l) be the third derivative of -l**6/24 - l**5/20 - 32*l**2. Calculate -b(h) + 3*g(h).
5*h**3
Let p(h) = -3*h. Let x(i) = -4*i. Let r = -44 