- 7. Determine r*a(m) + 4*u(m).
-2*m + 2
Let u(j) = 6*j**2 + 3. Let w(o) = o**2 + 1. Suppose -36 + 15 = 15*q + 6*q. Suppose 1 = 2*y - 7. Calculate q*u(h) + y*w(h).
-2*h**2 + 1
Let k(b) = b + 1. Let a(q) = 13*q + 1. Let r(g) = -13*g - 2. Let j(p) = -6*a(p) - 7*r(p). Calculate -j(d) + 6*k(d).
-7*d - 2
Let g(w) = w**3 - 1. Let s(p) be the third derivative of p**6/120 - p**5/60 - p**3 - 39*p**2. Give 3*g(a) - s(a).
2*a**3 + a**2 + 3
Let c(g) = -g**2 - 5*g - 6. Let w(y) be the first derivative of 3/2*y**2 + 10 + 1/3*y**3 + 3*y. What is -3*c(t) - 5*w(t)?
-2*t**2 + 3
Let d be (-10)/30 - (-8)/6. Let o(p) be the third derivative of p**3/6 - 6*p**2. Let a(y) = 3 + 4 - 6*y + 4*y. Calculate d*a(h) - 6*o(h).
-2*h + 1
Let a = 17 - 10. Let p(x) = -8*x**2 - 8*x - 6. Let c(k) = 9*k**2 + 9*k + 7. Let y be (21/(-15) - 1)*21/((-588)/70). Determine a*p(v) + y*c(v).
-2*v**2 - 2*v
Let s(f) = 2*f**2 + f + 3. Let g(q) = -52*q**2 + 9*q + 22. Give g(m) - 7*s(m).
-66*m**2 + 2*m + 1
Let u(s) = 11*s**2 + 7*s - 28. Let x(t) = -5*t**2 - 3*t + 14. Give -6*u(a) - 14*x(a).
4*a**2 - 28
Let l(d) = -11*d. Let x(u) = -2. Let g(m) = 111*m + 6. Let n(s) = g(s) + 3*x(s). Give 21*l(c) + 2*n(c).
-9*c
Let h(a) = 4 - 2*a + 0 - 3. Suppose 3*q + 2*q - y - 34 = 0, 0 = -q + 2*y + 5. Let k(g) = 6*g - 4. Suppose -29 - 75 = -166*o + 228. Determine o*k(t) + q*h(t).
-2*t - 1
Let b(o) be the first derivative of o**2/2 - o - 117. Let f(d) = -d + 4. Suppose 5*w = 3 + 2. Calculate w*f(a) + 2*b(a).
a + 2
Let q(h) = 12*h - 6. Suppose 4*w + 17 = -r, 4 = 2*r - 4*w - 10. Let v(t) = -t + 1. What is r*q(n) - 8*v(n)?
-4*n - 2
Let q(k) = -5*k**2 + 2*k + 2. Suppose -5*p - 2*u + 20 = 0, p - 9 = 3*u + 12. Let y(c) = 6*c**2 - 3*c - 3. Give p*q(b) + 4*y(b).
-6*b**2
Let r(y) be the second derivative of y**4/6 - 3*y**3/2 + 7*y**2 + 61*y. Let v(s) = 3*s**2 - 13*s + 21. Calculate 7*r(a) - 5*v(a).
-a**2 + 2*a - 7
Let n(q) = 4*q**3 - 2*q - 5. Let g = -38 - -43. Suppose -2*f - 1 - 6 = g*j, 2*j + 26 = 5*f. Let b(k) = -3*k**3 + 2*k + 4. Calculate f*n(p) + 5*b(p).
p**3 + 2*p
Let u(m) = -35*m - 13. Let k(l) = 33*l + 15. Calculate 6*k(x) + 7*u(x).
-47*x - 1
Let q(g) = -28*g - 342. Let s(y) = -10*y - 114. Give 6*q(p) - 17*s(p).
2*p - 114
Let k(g) = -319*g**3 - 6*g**2 + 6*g. Let b(y) = -4147*y**3 - 77*y**2 + 77*y. Give -6*b(m) + 77*k(m).
319*m**3
Let r(b) = -1. Let h(s) = 28*s - 4. Calculate -h(t) + 6*r(t).
-28*t - 2
Let z(u) = -3*u**3 - 5*u**2 + 51*u. Let b(l) = 3*l**3 + 4*l**2 - 49*l. What is -3*b(r) - 2*z(r)?
-3*r**3 - 2*r**2 + 45*r
Let y(u) = 1. Let t(o) = 5*o**2 - 46*o - 4. Calculate -t(b) - 3*y(b).
-5*b**2 + 46*b + 1
Let p(q) = 1. Let a(j) = 2*j - 7. Let k(r) = -3*r + 7. Let w be k(2). Let b(f) = w*a(f) + 4*p(f). Let h(z) = z - 4. What is -4*b(x) + 3*h(x)?
-5*x
Let s(c) = 5*c**2 - 6*c + 6. Let j(g) = -20*g**2 + 25*g - 25. Suppose -4*w = -12*w + 48. What is w*j(v) + 25*s(v)?
5*v**2
Let p(o) = -o**3 - 2*o**2 - o - 1. Let u(b) = -84*b**3 + 8*b**2 + 4*b + 4. Give 20*p(y) + 5*u(y).
-440*y**3
Suppose -3 = n - 10. Let p(a) = -2*a**3. Let r(i) = 110*i**3 + 45*i**2 - 45. Let z(y) = -5*y**3 - 2*y**2 + 2. Let g(c) = 2*r(c) + 45*z(c). Give n*p(o) - 2*g(o).
-4*o**3
Let v be -1*2/8 - 524/16. Suppose 5*s = 4*n - 28, 5*n = -3*s + s + 2. Let q(u) = -u**3 - 4*u + 4. Let o(j) = 9*j**3 + 33*j - 33. Determine s*o(h) + v*q(h).
-3*h**3
Let i(l) be the first derivative of 5*l**4/2 - 10*l**3 - 30*l + 286. Let c(u) = u**2 + 1. What is -30*c(r) - i(r)?
-10*r**3
Let p(g) = g**2 + 4*g + 1. Let o(a) = -3*a**2 + a + 4*a**2 + 1 + 2*a. Suppose -283*m + 18 = -289*m. What is m*p(t) + 4*o(t)?
t**2 + 1
Let g(d) = -511*d**2 + 2*d. Let t(z) = 256*z**2 - z. Calculate -3*g(c) - 7*t(c).
-259*c**2 + c
Let h(l) = -l + 1. Let a(q) = -9*q - 3. Suppose -2*b - 3*y = 17, -y - 5 + 0 = 0. Give b*a(t) - 2*h(t).
11*t + 1
Let i(x) = 22931*x. Let k(h) = 364*h. Give -4*i(v) + 253*k(v).
368*v
Let c(p) = 4*p + 5. Let m(v) = 3*v**2 - v - 1. Calculate -c(u) - m(u).
-3*u**2 - 3*u - 4
Let f(j) = 12*j**2 - 14*j + 14. Let m(p) = p**2 - p + 1. Let h = 311 - 314. Give h*f(r) + 42*m(r).
6*r**2
Let m(z) = 64*z**3 - 31*z**2 - 13*z. Let c(d) = -31*d**3 + 15*d**2 + 6*d. Give -13*c(j) - 6*m(j).
19*j**3 - 9*j**2
Let p(h) = h**2 - 2*h - 2. Let n be p(3). Let j(d) = d - 1. Let k(w) = -w + 1. Let m be k(-2). Let c(r) = -m + 15*r - 2*r**2 - 9 - 3*r. Give n*c(s) - 12*j(s).
-2*s**2
Let t(p) = -7*p - 1. Suppose -1 = 61*q - 62*q + v, 1 = -3*q + 5*v. Let d(h) = -h + 1. Let g be d(-3). Let z(i) = -1 + g*i + 5 - 3. Give q*t(n) + 5*z(n).
-n + 2
Let o(c) = 13*c + 9. Suppose -29 = -k + 5*t, -4*k + 3*t = -16 - 32. Let p(f) = 3*f + 2. Suppose 28*r = 5*r - 46. Calculate k*p(i) + r*o(i).
i
Let p(w) = 126178*w**2 - 7174*w - 3587. Let v(z) = 211*z**2 - 12*z - 6. Determine 6*p(f) - 3587*v(f).
211*f**2
Let l(w) = 1. Let h(r) = 1. Let k(o) = -6*h(o) + 5*l(o). Let j(s) = -s - 1. What is j(a) - 4*k(a)?
-a + 3
Let k(s) = s**2 - 1. Let t(y) = 2 - 3 - 3*y**2 + 6 - 2 + 4*y**3. Calculate 3*k(d) + t(d).
4*d**3
Let m(v) = -4*v**3 + 9*v**2 - 16*v + 3. Let k(j) = -j**3 + 2*j**2 - 4*j + 1. Give 9*k(r) - 2*m(r).
-r**3 - 4*r + 3
Let g(a) = -51*a**3 - 33*a**2 - 7*a. Let r(q) = -13*q**3 - 9*q**2 - 2*q. Calculate 6*g(j) - 22*r(j).
-20*j**3 + 2*j
Let l(x) = -6*x**2 + 2*x - 17. Let z(j) = -3*j**2 + j - 8. Suppose q + g + 15 = 0, -q - 3*g - 2 = 17. Calculate q*z(p) + 6*l(p).
3*p**2 - p + 2
Let b = -41 + 57. Let h(l) = -6*l**2 - 16. Let z(j) be the third derivative of -j**5/30 - 5*j**3/6 - 7*j**2 + 30*j. Determine b*z(n) - 5*h(n).
-2*n**2
Let w(y) = 11*y**3 + 13*y**2 + 13*y + 11. Suppose -156*r + 60 = -146*r. Let n(i) = 5*i**3 + 6*i**2 + 6*i + 5. Give r*w(p) - 13*n(p).
p**3 + 1
Suppose 8 = 3*j - 4*j. Let x be ((-5)/5)/(-1)*j. Let t(s) = -3*s - 1. Let v(f) = f**2 - 8*f - 2. What is x*t(c) + 3*v(c)?
3*c**2 + 2
Let k(i) = -2*i - 138. Let c(s) = -s - 70. Give 5*c(b) - 3*k(b).
b + 64
Let c(u) = 73*u**3 + 6*u**2 - 6*u - 5. Let z(n) = -n**2 + n + 1. Give -c(q) - 6*z(q).
-73*q**3 - 1
Suppose 6*p = 12*p - 24. Let q(g) = g**2 + 19*g + p - 23*g + g**2. Suppose 3*f + 3*m - 3 = 0, -f + 2*m + 12 - 2 = 0. Let a(x) = x - 1. What is f*a(j) + q(j)?
2*j**2
Let r(t) = 16*t + 1. Let j(q) = -15*q - 1. Suppose 5*h + y - 18 = 2*h, 2*h = -2*y + 16. Calculate h*j(x) + 4*r(x).
-11*x - 1
Let y(n) = -n + 2. Let m(p) = 158*p - 6. Give -m(q) - 2*y(q).
-156*q + 2
Let m = -25 + 34. Let b be (42/m)/(16/24). Let w(l) be the first derivative of -l**3/3 - l**2/2 - 5*l - 11. Let q(o) = -o**2 - o - 4. What is b*q(u) - 6*w(u)?
-u**2 - u + 2
Let i(v) = -11*v + 507. Let k(u) = 25*u - 1016. What is 9*i(a) + 4*k(a)?
a + 499
Let s(f) = -20*f**2 - 11*f - 6. Let v(c) = -c**3 - 19*c**2 - 22*c - 28. Let k be v(-18). Let y = k - 55. Let d(z) = 7*z**2 + 4*z + 2. Determine y*d(o) - 4*s(o).
3*o**2 + 2
Let a(p) be the first derivative of 5*p**3/3 + 2*p**2 - 13*p - 243. Suppose -3 = f - 1. Let m(o) = 2*o**2 + o - 3 + 0*o**2 - o**2. Give f*a(r) + 9*m(r).
-r**2 + r - 1
Let s(b) be the third derivative of b**5/4 + 5*b**4/24 - 118*b**2 - 1. Let y(o) = 7*o**2 + 2*o. Calculate 2*s(g) - 5*y(g).
-5*g**2
Let v(m) = 4*m**2. Let d = 78 + -58. Suppose 6*x + d - 2 = 0. Let t(f) = 5*f**2. Give x*t(w) + 4*v(w).
w**2
Let h(t) = -21*t**3 + 6*t**2 + 27*t + 27. Let f(a) = -3*a**3 + a**2 + 4*a + 4. Let q = -688 + 715. Give q*f(b) - 4*h(b).
3*b**3 + 3*b**2
Let t(r) = 2*r + 10. Let j(o) = o**3 + 6*o**2 - 18*o - 10. Let h be j(-8). Let v(y) = 1. What is h*v(b) - t(b)?
-2*b - 4
Let d(t) = 4*t**2 - 2*t. Suppose -2*o = -5*f + 8, 11 = o - 3*f + 8*f. Suppose 15 + o = 4*j. Let i(c) = -5*c**2 + 3*c. Calculate j*i(s) + 6*d(s).
4*s**2
Let x(r) = -r - 1. Let j(a) = -7*a - 10 + 0*a - 5*a. Let u be 3/3 + -1*23. Let h(k) = 5*k**2 + 10*k - 38. Let l be h(-4). What is l*j(g) + u*x(g)?
-2*g + 2
Let p(j) = -5*j**3 - 6*j**2 - 6*j - 6. Let m(g) = -1. Let n(y) = -m(y) + p(y). Suppose 22 = s + 28. Let r(b) = -b**3 - b**2 - b - 1. Give s*r(i) + n(i).
i**3 + 1
Let w(b) be the first derivative of b**2/2 + b + 62. Let g(q) = -q**2 + q + 1. Let t(c) = 4*c**2 - c - 1. Let z(a) = 2*g(a) + t(a). What is -2*w(r) + z(r)?
2*r**2 - r - 1
Let o(s) = s**2 + 0*s**3 + 2*s**3 + 31 - 30 - 3*s + 2*s**3 - 3*s**2. Let m(k) = 9*k**3 - 4*k**2 - 7*k + 2. Determine -3*m(t) + 7*o(t).
t**3 - 2*t**2 + 1
Let m(x) = -1. Let o = 59 - 41. Let z(t) = 2*t + 10. G