- 5. What is c*d(k) - 5*r(k)?
k**2 - 5*k
Suppose 4*g - 19 = -t, -3*g - 2*t - 2*t + 11 = 0. Let b(d) = 2*d + 2. Let l(v) = -4*v - 4. Give g*b(h) + 2*l(h).
2*h + 2
Let s(w) = -w**2. Let n(g) = 2*g**3 - 4*g**2. Let v be (-336)/196*35/(-2). Suppose -3*h + 2*r - v = 0, -5*h + 4*h - 21 = 3*r. What is h*s(q) + 3*n(q)?
6*q**3
Let h(w) = w**2 - w + 8. Let g(k) = -2*k + 6. What is 4*g(b) - 3*h(b)?
-3*b**2 - 5*b
Let x(d) = -d**2 - d + 1. Let w(o) = -7*o**2 + 5. Determine w(j) - 2*x(j).
-5*j**2 + 2*j + 3
Let s(k) = -k - 1. Let n(t) = 3*t**2 + 1. Let z(u) = -39 + 13*u + 499*u**2 + 2 - 509*u**2 + u**3. Let a be z(9). What is a*n(o) - 2*s(o)?
-3*o**2 + 2*o + 1
Let l(k) = 0*k - 3 - 3*k - 5*k. Let m(t) = 17*t + 7. Determine 7*l(j) + 3*m(j).
-5*j
Let z(s) = -s. Let r(k) = -47. What is r(x) - 2*z(x)?
2*x - 47
Let c(k) be the first derivative of -11*k**4/4 - 5*k**3/3 - 5*k**2/2 + 5*k + 452. Let t(a) = 12*a**3 + 6*a**2 + 6*a - 6. Calculate -6*c(p) - 5*t(p).
6*p**3
Let q(x) = x**2 + 2*x + 2. Let z(w) = -2135*w**2 - 5124*w - 5124. What is 2562*q(o) + z(o)?
427*o**2
Let x(z) = 5*z + 1. Suppose k + 47 = -7*l, 2*l + 18 = 2*k - 0. Let a(o) = -3*o. What is l*a(d) - 4*x(d)?
d - 4
Let v(r) = -7*r - 4. Suppose -225 = 6*b - 189. Let l(m) = 8*m + 5. Calculate b*l(f) - 7*v(f).
f - 2
Let f(b) = -56*b**2 - 8*b - 6. Let y(p) = p**2 + p + 1. What is -f(m) - 6*y(m)?
50*m**2 + 2*m
Let w(l) = 0 - 2 - l + 7. Let c(o) = -o + 3. Let a be ((-33)/15 + 1)*(-10)/4. What is a*w(u) - 5*c(u)?
2*u
Let n(k) = 4*k - 5. Let c(u) = u - 2. Let i(m) = -16*m - 37. Let q be i(-3). Calculate q*c(l) - 4*n(l).
-5*l - 2
Let i(x) = 73*x - 11*x - 19*x - 20*x + 3. Let s(q) = 8*q + 1. Calculate 6*i(y) - 17*s(y).
2*y + 1
Let c(j) = 87*j + 2. Let i(a) = 58*a + 1. Calculate 5*c(w) - 8*i(w).
-29*w + 2
Let q(y) = -y + 1. Suppose 2*o + 24 = 5*n, 0*o - o = n - 2. Let g(p) = -3*p + 2. Let w(v) = 2*v. Let c(u) = o*w(u) - 2*g(u). Give c(z) + 3*q(z).
-z - 1
Let w(u) = 4*u**3 + 3*u**2 - 13*u + 4. Let a(p) = -3*p**3 - 3*p**2 + 11*p - 4. Calculate 5*a(i) + 4*w(i).
i**3 - 3*i**2 + 3*i - 4
Let i(f) = -6*f**3 - 7*f + 19. Let g(a) = 5*a**3 + 6*a - 18. Determine -7*g(v) - 6*i(v).
v**3 + 12
Let g(m) = 43*m**2 + 2*m. Let t(l) = 84*l**2 + 2*l. What is -9*g(b) + 4*t(b)?
-51*b**2 - 10*b
Let y(u) = -10*u + 2. Suppose -35 = -6*q - 23. Let i(z) = 9*z - 3. Calculate q*i(j) + 3*y(j).
-12*j
Let p(d) = 3*d. Let t(c) = 25*c - 7. Determine 4*p(z) - t(z).
-13*z + 7
Let m(l) = -13*l**3 - 5*l**2. Let q(x) = -14*x**3 - 4*x**2. Give -4*m(u) + 5*q(u).
-18*u**3
Let g(u) = u**2 + 3*u + 2. Let p be (-98)/34 + (415/85 - 5). Let m(d) = d**2 + d + 1. Calculate p*m(a) + g(a).
-2*a**2 - 1
Let o(s) = s - 1. Let f(x) = 2*x**2 - 6*x + 8. Suppose -5*d = -d - 4. Suppose -4*h - d = -5*a, -h - 3 = -2*a + 1. What is h*o(k) + f(k)?
2*k**2 + 2
Let m(c) = -148785*c**2 - 545*c + 2180. Let j(r) = 547*r**2 + 2*r - 8. Determine -545*j(s) - 2*m(s).
-545*s**2
Let p(i) = -i. Let t(c) = 36 + 3*c + 4 - 37. Determine -2*p(m) - t(m).
-m - 3
Let c(y) = -88*y**3 + 4*y - 1. Let r(a) = 264*a**3 - 11*a + 2. Give -11*c(g) - 4*r(g).
-88*g**3 + 3
Let t = -866 + 867. Let n(j) = -j**2 - 1. Let o(f) = 4*f**2 + 2*f. Give t*o(i) + 3*n(i).
i**2 + 2*i - 3
Let b(h) = h - 3. Let z(q) = -182*q - 42. Calculate 14*b(f) - z(f).
196*f
Let s = -51 + 48. Let l(m) be the first derivative of 2*m**3/3 + 3*m**2/2 - m + 2. Let a(f) = 5*f**2 + 7*f - 3. Calculate s*a(j) + 7*l(j).
-j**2 + 2
Suppose z + z = 3*f - 17, -3*f - 4*z + 11 = 0. Let d(h) = -h + 6. Let v(o) = 2*o - 12. What is f*d(q) + 2*v(q)?
-q + 6
Let o(l) = -l**3 - l**2 + 21*l - 6. Let f be o(4). Let a(t) = 4*t + 2. Let g = -1 - 4. Let h(q) = -9*q - 5. Give f*h(v) + g*a(v).
-2*v
Suppose 21*b - 19*b - 54 = 0. Let z(x) be the first derivative of -x**3 + 2. Let c(g) = -21*g**2. Give b*z(i) - 4*c(i).
3*i**2
Let m(v) be the second derivative of -v**3 - v**2/2 - 2*v + 85. Let z(t) = -4*t. What is -4*m(x) + 7*z(x)?
-4*x + 4
Let x(c) = 9*c + 3. Suppose -8*b - 47 = -15. Let y(d) = 10*d + 4. Give b*x(v) + 3*y(v).
-6*v
Let c(y) = -3*y**3 - 2*y**2 - 28*y - 2. Let n(l) = -5*l**3 - 4*l**2 - 58*l - 5. Give -7*c(z) + 3*n(z).
6*z**3 + 2*z**2 + 22*z - 1
Let x(f) = -21*f**3 + 4*f**2 + 4*f - 4. Let c(y) = 629*y**3 - 119*y**2 - 119*y + 119. Let a be 10 + (-7 + 1 - -115). Give a*x(r) + 4*c(r).
17*r**3
Let t(u) = 8*u**3 + 10*u**2 - 2*u. Suppose -58 = 6*m - m + 4*g, 5*m + 56 = -3*g. Let r = 27 + -26. Let j(k) = k**3 + k**2. Calculate m*j(h) + r*t(h).
-2*h**3 - 2*h
Let t(v) = 3*v**3 - 5*v**2 + 2*v. Let q be (216/8)/(-9) - (-30 - 0). Let m(h) = 39*h**3 - 66*h**2 + 27*h. Determine q*t(o) - 2*m(o).
3*o**3 - 3*o**2
Let s(y) = -3*y**3 + y**2 - 30*y - 7. Let b(x) = 2*x**3 - x**2 + 30*x + 6. Give 5*b(k) + 4*s(k).
-2*k**3 - k**2 + 30*k + 2
Let q(j) = 219*j + 2. Let r(p) = -658*p - 7. What is -7*q(o) - 2*r(o)?
-217*o
Let p(h) = 273*h**2 - 9. Let t(v) = 273*v**2 - 7. Determine -4*p(j) + 5*t(j).
273*j**2 + 1
Let k(g) = -211*g**3 + 5*g**2 - 9. Let n(v) = 106*v**3 - 2*v**2 + 4. Determine 2*k(f) + 5*n(f).
108*f**3 + 2
Suppose 8*k + 5 + 3 = 0. Let a(o) = o - 1. Let g(n) = -8*n + 5. Calculate k*g(m) - 6*a(m).
2*m + 1
Let h(g) = -48*g + 32. Let n(m) = -2*m - 2. What is 2*h(p) + 32*n(p)?
-160*p
Let k(g) = 41*g + 3. Let u(v) = -21*v - 2. Determine 4*k(r) + 7*u(r).
17*r - 2
Let o(g) = g + 43. Let v(s) = -5*s - 214. Determine 11*o(k) + 2*v(k).
k + 45
Let q = 192 - 199. Let u(r) = r**2 - 13*r + 6. Suppose 4*w = -5*v - 6, 2*w + 14 = -v - 2*w. Let j(n) = -4*n + 2. Calculate q*j(x) + v*u(x).
2*x**2 + 2*x - 2
Let p(l) = -2*l**2 - l. Let b(c) = 55*c**2 + 30*c - 5. Calculate -b(t) - 30*p(t).
5*t**2 + 5
Let f = -9 - -5. Let y be (-27)/12 + 0 - (-3)/f. Let g(l) = -3*l**2 - 6*l - 5. Let q(m) = -2*m**2 - 5*m - 4. Determine y*g(b) + 4*q(b).
b**2 - 2*b - 1
Let u(d) = -14*d**2 + 8*d + 154. Let w(c) = -5*c**2 + 3*c + 51. Calculate -3*u(p) + 8*w(p).
2*p**2 - 54
Suppose -24 = 4*m - 32. Let i(k) = k**2 - 3*k**3 - m*k**3 + 4*k**3 + 1 + 2*k**3. Let y(r) = 2*r**3 + 5*r**2 + 3*r**3 + 2*r + r**2 + 4. Give -6*i(q) + y(q).
-q**3 + 2*q - 2
Let x(l) = l**2 + 1. Suppose 23*i - 1226 = -214. Let u(q) = -4*q**3 - 22*q**2 - 22. What is i*x(j) + 2*u(j)?
-8*j**3
Suppose q + 4*l - 11 = 0, -4*l + 3*l + 3 = 0. Let t be -6 + 5 - (5 + q). Let b(m) = -7*m. Let d(o) = -11*o. Let a = -28 + 36. What is a*b(r) + t*d(r)?
-r
Suppose -17*v = -12*v + 230. Let h = v + 41. Let z(n) = 8*n - 3. Let a(g) = 15*g - 5. Give h*z(q) + 3*a(q).
5*q
Let t(p) = -2*p - 16. Let b be (-18)/(-48) - 11/8. Let a(i) = -1. Give b*t(h) + 12*a(h).
2*h + 4
Let j(x) = -3676*x**3 + 17*x**2 - 17*x - 17. Let a(k) = 613*k**3 - 3*k**2 + 3*k + 3. Determine 34*a(z) + 6*j(z).
-1214*z**3
Let h(v) be the second derivative of 10*v**3/3 - 4*v**2 - 3*v - 27. Suppose 0 = -5*s + 3*s + 16. Let y(p) = -7*p + 3. Determine s*y(i) + 3*h(i).
4*i
Let v(g) = -4*g + 2. Let i(m) = -6*m + 3. Suppose 3*z = -3*j - 0*j - 24, 3*j + 14 = -z. What is z*i(h) + 7*v(h)?
2*h - 1
Let w(h) = -3*h**2 - 3*h + 4. Let i(t) = t - 1. Let l be (-10)/(1 + -6) - 6. Give l*i(j) - w(j).
3*j**2 - j
Let q(h) be the third derivative of -2*h**6/15 - h**5/20 + h**4/8 + 9*h**2 - 7*h. Let c(j) = 15*j**3 + 2*j**2 - 2*j. Give -3*c(v) - 2*q(v).
-13*v**3
Let o(a) = -2*a**2 - a + 10. Let p(t) = 4*t**2 + 3*t - 19. Calculate 5*o(m) + 3*p(m).
2*m**2 + 4*m - 7
Let d(f) = -5*f**3 + 4*f**2 - 4*f + 9. Let k(z) be the first derivative of -z**4/4 + z**3/3 - z**2/2 + z + 87. Determine -d(c) + 4*k(c).
c**3 - 5
Let j(o) = 75*o + 4. Let g(r) = -50*r - 3. What is 8*g(d) + 5*j(d)?
-25*d - 4
Let x(s) = 9*s**2 - 2*s + 3. Let n(k) = 8*k**2 - 2*k + 2. Let z(u) = 7*n(u) - 6*x(u). Let p(r) = 10*r**2 - 21 + 13*r - 43*r + 19*r. Give 2*p(m) - 11*z(m).
-2*m**2 + 2
Let k(t) = 20*t**3 + 6*t**2 + 6*t + 6. Let c(a) = -301*a**3 + 1505 - 101*a - 1596 + 10*a - 91*a**2. What is 6*c(x) + 91*k(x)?
14*x**3
Let d(u) = -3*u + 216. Let x(m) = -m + 1. What is d(t) - 5*x(t)?
2*t + 211
Let q(c) = 3*c - 1. Let b(r) = -33*r + 5. Calculate b(z) + 2*q(z).
-27*z + 3
Let v(y) = -8*y - 1. Let s be 1 + (-1 - 0) + 6. Let t(q) = 17*q + 3. Suppose 5*h - 3*c = 86, 4*c = 5*h - 6*h - 15. Determine h*v(a) + s*t(a).
-2*a + 5
Let f(z) = 9*z - 38. Let p be f(4). Let n(h) = -h**3 - 1. Let s(x) = -x**2 - x + 0*x - x + 7 + 8*x**3 + 3*x. Give p*s(c) - 14*n(c).
-2*c**3 + 2*c**2 - 2*c
