(d).
-d + 1
Let c = -5 + 7. Let d(n) be the third derivative of -n**4/24 - 13*n**3/6 - 13*n**2 + 4. Let a(h) = 3. What is c*d(x) + 9*a(x)?
-2*x + 1
Let a(j) be the first derivative of 3*j**4/2 - j**3 - 3*j**2/2 + 27. Let r(h) = -23*h**3 + 11*h**2 + 11*h. Calculate 22*a(s) + 6*r(s).
-6*s**3
Let o(p) = 3*p**2 + 5*p - 7. Let h(r) = -7*r**2 - 11*r + 15. Let s = -1 - 12. Let t(a) = 221*a + 2867. Let c be t(-13). Calculate c*h(n) + s*o(n).
3*n**2 + n + 1
Let y(m) = 2925*m**2 - 45*m. Let u(i) = 133*i**2 - 2*i. Give 90*u(q) - 4*y(q).
270*q**2
Let m(i) = -4692*i**3 - 192. Let r(g) = -247*g**3 - 10. Determine 5*m(p) - 96*r(p).
252*p**3
Let b(m) = -6*m - 14. Let c(y) = 11*y - 138. Let h be c(13). Let x(n) = 4*n + 9. Calculate h*b(u) + 8*x(u).
2*u + 2
Let y(w) = 5*w + 1. Let r(k) = -k**3 - 9*k**2 + 1. Let u be r(-9). Let z be u - 3 - (8 + -12). Let v(g) = 5*g. Calculate z*y(j) - 3*v(j).
-5*j + 2
Let a(i) = -7*i**2 + 4*i + 3. Let g(b) = -b**2 + b + 1. Let k(m) = -4*m**2 + 23*m - 20. Let s be k(5). Give s*g(p) + a(p).
-2*p**2 - p - 2
Let j(u) = u**3 - 19*u**2 - 66*u - 11. Let x be j(22). Let n(b) = 3*b**2 + b + 4. Let l(s) = -16*s**2 - 5*s - 21. Give x*n(k) - 2*l(k).
-k**2 - k - 2
Let r(g) = -44*g + 51. Let k(a) = 15*a - 18. Calculate 11*k(m) + 4*r(m).
-11*m + 6
Let n(f) = 5*f**2 - 4*f + 6. Let l be (3 + 0/(-4))*-2. Let i(r) = -4*r**2 + 3*r - 5. Give l*n(w) - 7*i(w).
-2*w**2 + 3*w - 1
Let f(o) = -o - 7 + 2256*o**2 - 2258*o**2 + 2*o. Let i(u) = u**2 + 1. Let g(k) = -k**2 - 4*k - 1. Let p be g(-4). Determine p*f(n) - 3*i(n).
-n**2 - n + 4
Let x be (-3)/(42/4)*581/(-332). Let u(y) be the first derivative of -2 + 4*y - x*y**2 - 1/3*y**3. Let k(f) = 3*f**2 + 3*f - 9. Determine 3*k(c) + 7*u(c).
2*c**2 + 2*c + 1
Let h(j) = 3*j**2 + 3*j - 1. Let u(x) = 1250*x**2 + 12*x - 4. Give -4*h(d) + u(d).
1238*d**2
Let u(b) = b - 2. Let g(f) = f - 3. Suppose -t - 2*p - 4 = 0, 4 = 3*t + 2*p - 4*p. Suppose d + 2*d - 12 = t. Suppose 25 = n - 6*n. What is d*g(c) + n*u(c)?
-c - 2
Let d(q) = -q. Let c(p) = 0*p + 0*p + 6*p - 8*p. Let r(x) = -x - 9. Let g be r(-7). What is g*d(t) - c(t)?
4*t
Let s(j) = 2*j**3 - j**2 - 2. Let n(q) = 73*q**3 - 5*q**2 - 9. Give -n(u) + 6*s(u).
-61*u**3 - u**2 - 3
Let s(d) = -6*d + 138. Let z(k) = -20*k + 415. What is -7*s(n) + 2*z(n)?
2*n - 136
Let v(c) = -41*c**2 - 24*c + 17. Let x(m) = 15*m**2 + 8*m - 6. Determine 4*v(a) + 11*x(a).
a**2 - 8*a + 2
Let b(j) = 9*j**3 + 7*j**2 + 8. Let k(n) = 9*n**3 + 6*n**2 + 7. Let x be (-57)/(-9) - (16/(-6) - -3). Calculate x*b(v) - 7*k(v).
-9*v**3 - 1
Let t(f) = f - 4. Let b(p) be the third derivative of 1/2*p**3 - 1/24*p**4 + 0*p + 0 - 12*p**2. Give 5*b(c) + 4*t(c).
-c - 1
Let z(s) = 9*s - 28. Let m(w) = 14*w - 56. Calculate -3*m(l) + 5*z(l).
3*l + 28
Let r(n) = -17*n - 54. Let q be r(-4). Let v(x) = -3*x. Let w(g) = g. Determine q*w(c) + 2*v(c).
8*c
Let k(n) = n**2 - 2*n - 3. Let p(w) = -3*w - 35. Let m be p(-14). Let d(i) = 49*i - 25*i - 29*i + i**2 - m. Give -2*d(u) + 5*k(u).
3*u**2 - 1
Let v = 232 + -231. Let q(h) = h - 1. Let r(p) = -4*p + 3. Give v*r(s) + 3*q(s).
-s
Let j(f) = f**2 + 8*f - 8. Let k be j(-9). Let z(l) be the first derivative of l + 1. Let r(x) = -x + 5. Suppose 7*g + 7 = -35. What is g*z(u) + k*r(u)?
-u - 1
Let a(n) = 23*n**3 - 7*n**2 - 17*n - 11. Let q(r) = -12*r**3 + 3*r**2 + 8*r + 5. Calculate -3*a(p) - 7*q(p).
15*p**3 - 5*p - 2
Let j(z) = 5*z - 2. Let h(g) = -g**3 - 16*g**2 - 51*g - 37. Let p be h(-12). Let d(s) = s**3 - s + 1. Calculate p*j(w) - 2*d(w).
-2*w**3 - 3*w
Let y(r) = 8*r**2 + 48. Let n(x) be the third derivative of -x**3/6 + 2*x**2 - 22. Determine -48*n(q) - y(q).
-8*q**2
Let o(z) = -30*z**3 - 590*z**2 - 11. Let k(j) = -11*j**3 - 197*j**2 - 4. Calculate 11*k(r) - 4*o(r).
-r**3 + 193*r**2
Let j(c) = -22*c**3 + 14*c**2 - 11*c + 15. Let k(z) = 12*z**3 - 7*z**2 + 5*z - 7. Calculate 6*j(a) + 13*k(a).
24*a**3 - 7*a**2 - a - 1
Let b(k) = -2*k**2 + k. Let i(q) = 7*q**2 - 8*q + 2. Let x(y) = -2*b(y) - i(y). Let l(m) = 3*m**2 - 5*m + 2. Calculate 5*l(a) + 4*x(a).
3*a**2 - a + 2
Let x(n) = 8*n**3 - 7*n + 4. Let u(r) = r + 17*r**3 + 7*r - 20*r - 3*r + 9. Give -4*u(p) + 9*x(p).
4*p**3 - 3*p
Suppose -21 = 3*g - 111. Suppose 10*b + g = 5*b - 5*h, -2 = h. Let z(y) = -3*y**2 - 2*y - 1. Let v(o) = -2*o**2 - 2*o - 1. Calculate b*v(n) + 3*z(n).
-n**2 + 2*n + 1
Let b(l) = l**2 + 1. Let w(d) = 7*d**3 - 18*d**2 - 5. Let u(k) = 5*b(k) + w(k). Let a be 3*-4*(-1)/(-6)*-3. Let m(s) = -s**3 + 2*s**2. Give a*u(t) + 39*m(t).
3*t**3
Let n(t) be the first derivative of -3*t**2 + 7*t - 1. Suppose -r = -5*r - 2*c + 18, 23 = 4*r - 3*c. Let o(m) = -5*m + 6. Calculate r*o(u) - 4*n(u).
-u + 2
Let z(c) = -c**2 + c + 1. Let l(n) = 2*n**3 - 6*n**2 + 6*n + 9. Suppose 0 = 63*k - 59*k + 40. Let a be (25/5)/(k/(-2)). Determine a*l(i) - 6*z(i).
2*i**3 + 3
Let p(h) = 3*h**2 - 3*h - 9. Let y(t) = -16*t**2 + 16*t + 45. Calculate -11*p(n) - 2*y(n).
-n**2 + n + 9
Let r(g) = g**3 + g. Let q(d) = -329*d**3 + 21*d. Determine -q(n) + 21*r(n).
350*n**3
Let l(k) = -2*k**2 - 2. Let i(b) = 171*b**3 - 10*b**2 - 12. What is i(d) - 6*l(d)?
171*d**3 + 2*d**2
Let d(p) = -10*p - 5. Let c(z) = -194 - z + 195 + 2*z. Determine -6*c(s) - d(s).
4*s - 1
Let l(q) = -15*q - 2. Let b(v) = -75*v - 12. What is 2*b(s) - 11*l(s)?
15*s - 2
Let k(z) = 14*z - 5. Let r(f) = -15*f + 5. Let x(a) = -7*k(a) - 6*r(a). Suppose o - 28 = -5*n + 3*o, 1 = n - 5*o. Let j(c) = 9*c - 6. Give n*x(u) + 5*j(u).
-3*u
Let p(i) = i - 67. Let f(o) = -2*o + 196. Give -2*f(t) - 7*p(t).
-3*t + 77
Let v(z) = -z**2 + z + 1. Let u(k) = 4*k**2 + 5*k + 1. Give -u(w) + 3*v(w).
-7*w**2 - 2*w + 2
Let r(w) = -4*w + 7. Let q(n) = -n. Let x(v) = 4*q(v) + 2*r(v). Suppose g + 4*g - 80 = -2*j, 5*g + 3*j = 85. Let z(s) = -4*s + 5. Calculate g*z(u) - 5*x(u).
4*u
Let b(n) = 6. Let f be (-2)/(-4) - (-168)/48. Let v(i) = -i - 17. What is f*v(p) + 11*b(p)?
-4*p - 2
Let s(p) = -183*p**3 - 6*p**2 - 4*p - 8. Let y(b) = 184*b**3 + 5*b**2 + 3*b + 6. Give 3*s(k) + 4*y(k).
187*k**3 + 2*k**2
Let b be 34/(-85)*30/12. Let n(a) = -a. Let q(p) = -9*p + 4. Determine b*q(c) + 6*n(c).
3*c - 4
Let b(m) = -8*m**3 - 7*m**2 - 6*m + 1. Let g(p) = -8*p**3 - 6*p**2 - 5*p + 1. Let u = -5 - 1. Calculate u*g(r) + 5*b(r).
8*r**3 + r**2 - 1
Let s(y) = -5*y**3 + 4*y + 4. Let l(h) = -5*h**3 + 5*h + 4. Give 4*l(p) - 5*s(p).
5*p**3 - 4
Let k(h) = -29*h**3 + h**2 - 2*h. Let t(c) = -44*c**3 + c**2 - 3*c. Suppose -98*x + 550 = 12*x. What is x*t(f) - 7*k(f)?
-17*f**3 - 2*f**2 - f
Let j(h) = h + 3. Let f(r) = -17*r + 11*r - 2 + 5*r - 2. Calculate -4*f(a) - 6*j(a).
-2*a - 2
Let i(n) = -27*n - 16. Let z(y) = -9*y - 5. Determine 6*i(g) - 17*z(g).
-9*g - 11
Let d(i) = -7*i**3 - 5*i**2 - i - 4. Let k(h) = -3*h**3 - 2*h**2 - 2. Let j(m) = -2*m + 13. Let q be j(9). Let r be -1 + 4 - 4/4. Calculate q*k(x) + r*d(x).
x**3 - 2*x + 2
Let t(d) = 57*d**2 - 21*d - 4. Let x(s) = 39*s**2 - 14*s - 3. Give -5*t(p) + 7*x(p).
-12*p**2 + 7*p - 1
Let k(t) = -11*t + 1. Let x(v) = 6*v - 1. Let y(b) = -4*k(b) - 7*x(b). Let o(w) = 0*w - 6 + 3*w + 2 - 6*w. Let r = -176 + 180. What is r*o(f) + 5*y(f)?
-2*f - 1
Let d(y) = -2*y**3 + y**2 + y. Let r(u) = -16*u**3 + 5*u**2 + 4*u. What is 5*d(k) - r(k)?
6*k**3 + k
Let l = -11284 + 11290. Let h(d) = 17*d - 10. Let v(z) = 1. Let c(r) = -h(r) + v(r). Let i(n) = 8*n - 5. Determine l*c(w) + 13*i(w).
2*w + 1
Let f(n) = -21*n**3 + 5*n + 7. Let o(p) = 32*p**3 - 8*p - 10. Calculate -8*f(t) - 5*o(t).
8*t**3 - 6
Let k(g) be the second derivative of g**4/12 + g**3/6 + 10*g + 2. Let w(f) = -5*f**2 - 5*f + 3. Give 6*k(o) + w(o).
o**2 + o + 3
Let u(d) = 16. Let h(f) = f + 2. Let j(p) = -8*h(p) + u(p). Let o(k) = -40*k + 1. What is -11*j(l) + 2*o(l)?
8*l + 2
Let f(m) be the second derivative of -m**4/3 - m**3/3 + 5*m**2/2 - 29*m. Let y(r) = 1 - 12*r - r**2 - 6*r - 4*r + 21*r. What is f(q) - 2*y(q)?
-2*q**2 + 3
Let h(i) = 3*i + 3. Let s(c) = 4*c + 3. Let x be s(-2). Let w(m) = -2*m - 2. Suppose 5*t + 4*d = t - 32, -2*d - 19 = 3*t. What is t*h(a) + x*w(a)?
a + 1
Suppose 4*m = g - 3, -2*g + 0*g + 2*m = 0. Let y(v) be the first derivative of -7*v**3/3 - v**2/2 + 7*v - 25. Let w(a) = -a**2 + 1. What is g*y(j) + 6*w(j)?
j**2 + j - 1
Let w(p) = 236*p**3 - 5*p**2 + 5. Let j(v) = -7315*v**3 + 154*v**2 - 154. Give -5*j(l) - 154*w(l).
231*l**