- 2. Let i(v) be the first derivative of -v - 1/2*v**2 + 95. What is -8*i(o) + 3*s(o)?
-o + 2
Let a = -342 + 345. Let r(n) be the first derivative of -n**3 - n**2/2 + 601. Let t(v) = 3*v**2 + 2*v - 1. Determine a*r(u) + 2*t(u).
-3*u**2 + u - 2
Let d(f) = f + 3. Let t(v) = -4. Suppose -4*p - 5*n - 33 = 0, 3*n + 8 = -4*p - 15. Let y = -255 - -252. Determine p*t(s) + y*d(s).
-3*s - 1
Let k(n) = -875*n**3 + 5*n**2 - 9*n + 5. Let f(s) = 438*s**3 - 3*s**2 + 5*s - 4. What is -5*f(g) - 3*k(g)?
435*g**3 + 2*g + 5
Let m(o) = o**2. Let x(j) = -2*j**3 - 1. Let d be x(-1). Let b(l) = -17*l**2. Determine d*b(r) + 6*m(r).
-11*r**2
Let r(k) = 2*k**2 + 3*k - 3. Let c be r(2). Let n be (-2 + c)*(4 + (-42)/9). Let h(a) = -2*a**2 - 8. Let q(z) = -2*z**2 - 7. Give n*h(w) + 7*q(w).
-2*w**2 - 1
Let f(w) = -18513*w + 252. Let y(s) = 1157*s - 16. What is -4*f(z) - 63*y(z)?
1161*z
Let b(l) = -12*l**3 - 4*l + 18. Let d(o) = -2*o**3 + 2*o - 1. Calculate b(v) + 2*d(v).
-16*v**3 + 16
Let b(g) = 2*g**2 + 5*g + 16. Let t(j) = 17*j**2 + 48*j + 143. What is 19*b(h) - 2*t(h)?
4*h**2 - h + 18
Let b(z) = z**2 + 13*z - 861. Let d be b(-36). Let j(w) = -32*w - 4. Let y(n) = -255*n - 33. Determine d*j(q) + 4*y(q).
36*q
Let k(v) = 132*v**2 - 4*v - 4. Let i(z) = 129*z**2 - 7*z - 3. What is 2*i(s) - 3*k(s)?
-138*s**2 - 2*s + 6
Let d(c) = 4*c**2 - 4*c + 16. Let q(u) = -u**2 + u - 9. Let m(p) = d(p) + 2*q(p). Let l be (-3 - -4)/1*-2. Let r(a) = -1. Determine l*r(z) + m(z).
2*z**2 - 2*z
Let v(w) = -4*w**3 + 99*w**2 - 2*w - 8. Let o(i) = i**3 - 2*i**2 + i + 4. Give 2*o(n) + v(n).
-2*n**3 + 95*n**2
Let h = -20796 + 20791. Let c(b) = -b**2 + b + 11. Let d(u) = -2*u**2 + 2*u + 22. Give h*c(a) + 3*d(a).
-a**2 + a + 11
Let m = 248 + -239. Let z be m + -2 + (-1)/1. Let s(u) = 12*u**3. Let w(a) = -11*a**3. What is z*w(y) + 5*s(y)?
-6*y**3
Let t(l) = 0*l**2 + 14736629*l - 14736622*l - 3*l**2 + 5. Let m(r) = -13*r**2 + 29*r + 21. What is 2*m(b) - 9*t(b)?
b**2 - 5*b - 3
Let d(l) = -15*l**3 + 4*l**2 + 4*l + 15. Let q(u) = 7*u**3 - 2*u**2 - 2*u - 7. Let m = -7341 + 7347. Determine m*d(k) + 13*q(k).
k**3 - 2*k**2 - 2*k - 1
Let v(i) = 45*i - 54. Let o(g) = g - 1. Let d = 883 - 937. Give d*o(n) + v(n).
-9*n
Let s(k) = 2134*k**2 + 6*k + 6. Let r(c) = -113100*c**2 - 319*c - 319. Give 6*r(n) + 319*s(n).
2146*n**2
Let x(m) = 50*m**2 - 28*m - 1721. Let j(t) = 15*t**2 - 8*t - 574. Calculate 7*j(o) - 2*x(o).
5*o**2 - 576
Let d(p) = -p**3 - 4*p**2 + 4*p. Let i(l) = -l**2 - 11*l - 14. Let w be i(-10). Let u(k) = -2*k + 34*k**2 - 14*k - 19*k**2 + k + 5*k**3. Give w*u(g) - 15*d(g).
-5*g**3
Let o(r) be the second derivative of r**4/12 - 2*r. Let k(u) = -8*u**2 - 4*u**3 + 3*u**3 - 2*u**3 + 6*u**2. Let d = -10211 - -10207. Give d*o(t) - k(t).
3*t**3 - 2*t**2
Suppose 2*r + 4*t = 852, 0 = 2*t - 18 + 14. Let u = r + -414. Let q(p) = -3*p - 2. Let s(x) = 9*x + 5. Give u*q(w) + 3*s(w).
3*w - 1
Let t(p) = 4*p**3 - 7*p**2 + 2*p**2 + 7*p + 6 + p**2. Let q(v) = -v**3 - 95*v**2 - v - 1 - 50*v**2 + 145*v**2. Suppose 3 = -5*h + 8. Calculate h*t(w) + 6*q(w).
-2*w**3 - 4*w**2 + w
Let c(u) = 11*u**3 + 5*u**2 + 506*u - 15. Let w(s) = 13*s**3 + 6*s**2 + 506*s - 18. What is -6*c(q) + 5*w(q)?
-q**3 - 506*q
Let u be 90/54 - (-2950)/(-6). Let w = 495 + u. Let n(c) = -6*c + 2. Let q(r) = 7*r - 3. Calculate w*n(y) + 4*q(y).
-2*y - 2
Let x(y) = -4*y - 2*y - 2*y. Suppose -2*f + 5*u = 24, -4*u = -113*f + 114*f - 27. Let d(a) be the second derivative of a**3/6 + a. What is f*x(v) + 21*d(v)?
-3*v
Let s(d) = -78*d**3 - 16*d**2 - 4883*d + 4. Let b(c) = -29*c**3 - 6*c**2 - 1628*c + 1. What is -8*b(q) + 3*s(q)?
-2*q**3 - 1625*q + 4
Let m(o) = -4*o**3 - 13*o**2 + 18. Let n be 18/576*-24*(6 - -2*1). Let z(f) = 2*f**3 + 6*f**2 - 9. What is n*m(l) - 13*z(l)?
-2*l**3 + 9
Let x(g) = g**2 - 2*g. Let f be 7 - (-246)/(-15) - -5 - (-6)/15. Let j(y) = 2*y**2 - 4*y. Give f*j(z) + 7*x(z).
-z**2 + 2*z
Let n(k) = -15*k + 15. Let s(c) = -8*c + 8. Suppose 5*h + 5*p - 190 = 0, 3*p + 1 = 4*p. Let y = h - 43. Let u be (1 - 8/(-3))/(2/6). Determine u*s(i) + y*n(i).
2*i - 2
Let a(h) = 5*h**2 + 2. Let q(r) = -64*r**3 - 21*r**2 - 12. Give 6*a(v) + q(v).
-64*v**3 + 9*v**2
Let n(w) = w + 1. Let x(h) be the third derivative of h**6/24 - h**5/12 + h**4/8 + h**3/2 - 3*h**2 + 10*h - 24. Determine -3*n(o) + x(o).
5*o**3 - 5*o**2
Suppose d + 8*d = -9*d - 126. Let u(c) = 4*c**2 + 3*c - 3. Let l(n) = 9*n**2 + 7*n - 7. Suppose -2*v = 2*t - 14, 4*t = -5*v + 29 + 2. Calculate d*u(j) + v*l(j).
-j**2
Let k(x) = -15*x - 136. Let b(y) = -14*y - 132. Calculate -4*b(a) + 3*k(a).
11*a + 120
Let y(g) = -2*g**3 - 2*g. Let j(u) = 0*u - 2*u + 1 + 29*u**3 + 33*u**3 - 64*u**3. Let x = -13 + 11. Calculate x*y(c) + 3*j(c).
-2*c**3 - 2*c + 3
Let h(l) = 62*l. Let k(x) = -358*x - 6. Let t(s) = 4*h(s) + k(s). Let n(v) = -22*v - 1. Calculate -11*n(u) + 2*t(u).
22*u - 1
Let l(o) = 1191*o + 16. Let s(a) = -589*a - 8. Calculate 3*l(x) + 7*s(x).
-550*x - 8
Let m(q) = 5*q**3 + 30*q**2 - 9*q - 5. Let g(b) = -3*b**3 - 15*b**2 + 5*b + 2. What is -5*g(u) - 2*m(u)?
5*u**3 + 15*u**2 - 7*u
Let o(h) = h**2 - 4*h - 2. Let g be o(8). Let z(f) = -5*f + 30. Suppose -10*s - 219 + 107 = -102. Let v(u) = 1. Calculate g*v(c) + s*z(c).
5*c
Let k(t) = -12*t**2. Suppose 2*m = -f + 15, -4 = 3*m + 5. Suppose -f*q - 3*q = 48. Let l(r) = -3*r**2. Give q*k(z) + 9*l(z).
-3*z**2
Let z(v) = 58*v**2 + 2. Let g(k) = k. What is -4*g(y) - z(y)?
-58*y**2 - 4*y - 2
Let c(b) = -b**3 + b**2 + 2*b - 22. Let v(d) = 15*d**3 - 2*d**2 - 2*d - 97. Give -c(u) - v(u).
-14*u**3 + u**2 + 119
Let b(i) = 9*i - 2470. Let c(p) = 3*p - 826. Determine -4*b(g) + 11*c(g).
-3*g + 794
Let t(u) = 19*u**2 + 2*u. Let g(k) be the second derivative of 13*k**4/4 + 2*k**3/3 - 10*k - 449. What is 2*g(p) - 5*t(p)?
-17*p**2 - 2*p
Let b be (-39)/(-1092)*24/2*7. Let m(g) = 60*g**3 - 5*g - 5. Let k(s) = -30*s**3 + 3*s + 3. What is b*m(h) + 5*k(h)?
30*h**3
Let v(r) = -743*r**2 + 3*r - 3. Let t(x) = 743*x**2 - 4*x + 4. Determine -3*t(s) - 4*v(s).
743*s**2
Let z(w) = 34*w + 2745. Let a(m) = -7*m - 572. Let f(u) = 24*a(u) + 5*z(u). Suppose 0 = 3*d - 2*d - 2. Let i(j) = -10*j + 15. Give d*i(h) + 11*f(h).
2*h - 3
Let j(l) = 11*l**3 - 3*l**2 - 5*l. Let k(b) = -57*b + 2114. Let z be k(37). Let u(f) = 16*f**3 - 4*f**2 - 7*f. Calculate z*u(r) - 7*j(r).
3*r**3 + r**2
Let c(t) = 13*t**2 + 3. Let m(p) = 45*p**2 + 55*p + 9. What is 6*c(d) - 2*m(d)?
-12*d**2 - 110*d
Let h(j) = 4*j**2 + 4*j. Let n = -1266 - -1268. Let o(m) be the first derivative of 0*m - 9 - 1/2*m**n - 1/3*m**3. What is 2*h(q) + 6*o(q)?
2*q**2 + 2*q
Let q(p) = -3*p**3 - p - 1. Let m(b) = 1648*b**3 - 18*b - 18. Determine -2*m(x) + 36*q(x).
-3404*x**3
Let c(f) = 2*f**2 - 69*f + 519. Let y be c(11). Let p(m) = -11*m + 3. Let h(n) = -4*n + 1. What is y*p(d) - 7*h(d)?
6*d - 1
Let v(a) = -1804901*a**3 + 3609*a**2. Let q(f) = 2001*f**3 - 4*f**2. Give 3609*q(y) + 4*v(y).
2005*y**3
Let o(n) = 8*n**2 + 50*n + 6. Let q(j) = 16*j**2 + 106*j + 13. Determine 13*o(w) - 6*q(w).
8*w**2 + 14*w
Let t(l) = -l + 1. Let m(x) = -47*x + 1552. Let k be m(33). Let f(v) = 18*v + 4. Give k*f(a) - 5*t(a).
23*a - 1
Let n(w) be the second derivative of 1/3*w**4 + 0 - 1/10*w**5 - 7/6*w**3 - 5/2*w**2 - 134*w. Let t(q) = -q**3 + 2*q**2 - 3*q - 2. Determine -2*n(u) + 5*t(u).
-u**3 + 2*u**2 - u
Let r(t) = t. Let n(k) = -30*k - 360. Let w(l) = 9*l + 109. Let a(d) = 10*n(d) + 33*w(d). Give -a(o) + 4*r(o).
7*o + 3
Let g(y) = -7*y**2 + 27*y - 32. Let o(z) = 6*z**2 - 19*z + 35. Determine 3*g(m) + 4*o(m).
3*m**2 + 5*m + 44
Let u(r) = -r - 1. Let y(g) = 9*g - 45. Let m(i) = -4*i + 22. Let b(k) = -7*m(k) - 3*y(k). Let j(n) be the first derivative of b(n). Give 6*j(z) + 6*u(z).
-6*z
Let z(v) = v + 1. Let t(n) = 8*n - 3. Let g = 226 + -224. Give g*z(s) + t(s).
10*s - 1
Let t(x) = -x**2 + x. Let y(r) be the first derivative of -2*r**3/3 + 3*r**2/2 + r - 78. Suppose -20 + 0 = 5*c. Give c*t(h) + y(h).
2*h**2 - h + 1
Let n(s) = s**3 + 6*s**2 + 2*s + 3. Let f = -4 + -7. Let c = f - -12. Let d(u) = -u**2 - 1. Suppose 27*t - 2 = 28*t + b, 5*t + b = 10. What is c*n(j) + t*d(j)?
j**3 + 3*j**2 + 2*j
Let v(d) = -3*d + 6. Let w(g) = -4*g + 6. Let z(y) = 282*y + 843. Let l be z(-3). Give l*v(f) + 2*w(f).
f - 6
Let z(x) = x**3 + 6*x**2 + 2*x. Suppose -1008*i + 470*i = 1076. Let 