- 27. What is g*q(b) + 27*u(b)?
-3*b
Let p(k) = 4*k**2 + 5*k. Let t be ((-12)/(-15))/((-4)/10). Let z be (104/(-16))/(t/(-4)). Let c(i) = -i + 12*i + 4*i**2 + 5*i**2. Determine z*p(v) + 6*c(v).
2*v**2 + v
Let v(j) = 15*j**2 + 20*j - 11. Let k(g) = 8*g**2 + 10*g - 6. Give 11*k(t) - 6*v(t).
-2*t**2 - 10*t
Let x(o) = o + 2. Let k(m) = 2*m + 5. Let a(r) = -r**2 - 8*r + 5. Let d be a(-10). Determine d*x(q) + 6*k(q).
-3*q
Let k(y) be the third derivative of 5*y**4/24 - 7*y**3/6 - 46*y**2 + 2*y. Let v(b) = -3*b + 4. Give 6*k(i) + 11*v(i).
-3*i + 2
Let l(k) = k + 2. Let b(u) be the second derivative of -u**3/3 - 5*u**2/2 + 5*u. Give 2*b(j) + 5*l(j).
j
Let y(j) = 5*j - 3. Let d(s) = -6*s + 3. What is -2*d(r) - 3*y(r)?
-3*r + 3
Let k(w) = -w**2 - 4*w - 9. Let s(l) = -l**2 - 2*l - 4. Give -4*k(b) + 9*s(b).
-5*b**2 - 2*b
Let m(u) = 2*u**2 + u. Let k(j) = 3*j**2 + j. Let h be 10/25 + (-44)/10. Let i(w) = 2*w + 1. Let r be i(1). What is h*m(p) + r*k(p)?
p**2 - p
Let u(c) = -c + 2. Let y = 51 - 49. Let z(t) = -3. What is y*z(k) + 3*u(k)?
-3*k
Let o(m) = m**3 + 17*m**2 + 15*m - 15. Let p be o(-16). Let l(u) = -6*u**2 - 5*u - 3. Let j(s) = -s**2 - s - 1. Calculate p*l(f) - 4*j(f).
-2*f**2 - f + 1
Let w(h) = 24*h - 48. Let g(s) = -s + 1. Determine -48*g(n) - w(n).
24*n
Let g(d) = 9*d - 5. Let b(p) = 2*p + 1. Let s be b(3). Let w(v) = 2 + v + v - s*v + v. Determine -2*g(m) - 5*w(m).
2*m
Let a(v) = 2*v - 11. Let j(h) = 5*h - 33. Calculate -17*a(z) + 6*j(z).
-4*z - 11
Let g(o) = o + 17. Let p(u) = 9. Calculate 2*g(h) - 5*p(h).
2*h - 11
Let o = -8 + 23. Let y(t) = 1 - 26*t**2 + 2*t + 3*t**3 - 3 + 24*t**2. Let n(m) = 21*m**3 - 15*m**2 + 15*m - 15. Give o*y(f) - 2*n(f).
3*f**3
Let z(g) = -2*g**3 - 3*g**2 - 3*g - 3. Let h(t) be the first derivative of -t - 1/2*t**2 - 1/4*t**4 - 1/3*t**3 + 2. Let l = 4 + -3. Give l*z(c) - 3*h(c).
c**3
Let c(a) = 5*a + 2. Let i(b) = -51*b - 21. Suppose 9*d = -286 + 97. Calculate d*c(w) - 2*i(w).
-3*w
Let u(y) = -2*y**2 - 9*y + 3. Let n(i) = i**2 - 1. Give 4*n(g) + u(g).
2*g**2 - 9*g - 1
Let h(b) = b + 1. Let g(d) = -4*d - 3. Determine 2*g(m) + 6*h(m).
-2*m
Let l(p) = -4*p**2 - 8*p - 5. Let u be l(-3). Let z(j) = -8*j**2 + 0*j**3 - 6*j**3 - 11*j + 2*j**2. Let c(d) = -2*d**3 - 2*d**2 - 4*d. What is u*c(g) + 6*z(g)?
-2*g**3 - 2*g**2 + 2*g
Let h(a) = a**2 - a - 1. Let r(n) = -3*n**2 - 2*n - 2. Let l(k) = -3*k**2 - k - 1. Let c(i) = -4*l(i) + 3*r(i). Let y = -38 - -41. Determine y*c(b) - 6*h(b).
3*b**2
Let r(u) = 2*u**2 - 2. Let g be 6/(-4) - 25/(-10). Let o(y) = -y**2. Determine g*r(k) + 3*o(k).
-k**2 - 2
Let g(b) = -34*b + 4. Let y(n) = 17*n - 2. Determine 3*g(o) + 5*y(o).
-17*o + 2
Let l = 7 - -5. Let w be -1*(1 + l)*-1. Let p(i) = 15*i**2 - 13*i - 15. Let j(h) = 7*h**2 - 6*h - 7. Determine w*j(f) - 6*p(f).
f**2 - 1
Let m(x) = -6*x**2 + 4*x. Let z(r) = 6*r**2 - 3*r. Give -2*m(j) - 3*z(j).
-6*j**2 + j
Let b(j) = j. Let o(v) = 4*v + 1. Suppose 4*y = m + m + 536, -133 = -y + m. Suppose 5*n = -y - 65. Let a be (n/(-12))/((-2)/6). Determine a*b(l) + 2*o(l).
-2*l + 2
Let c = 10 - 14. Suppose -9 = -0*p - 3*p. Let w(x) = 2*x**2 - x - 5. Let o(d) = 5*d**2 - 6 + 0*d - 2*d - 3*d**2 + 0*d**2. Give c*w(y) + p*o(y).
-2*y**2 - 2*y + 2
Let y be ((-3)/(-2))/(2/4). Let j(r) = 2*r + 3. Let i(d) = d**2 + 3*d + 4. Give y*j(z) - 2*i(z).
-2*z**2 + 1
Let u(o) = o**3 - 6*o**2 - 4*o - 4. Suppose -4*a - 26 = -10. Let h(l) = -l**3 + 5*l**2 + 3*l + 3. Let j = -8 - -5. Determine a*h(n) + j*u(n).
n**3 - 2*n**2
Let m(v) = -9*v**2 - 2*v - 7. Suppose 4*c - 6*c = -12. Let g(f) = 5*f**2 + f + 4. Calculate c*m(k) + 11*g(k).
k**2 - k + 2
Let i(r) = -1. Let q(m) = 19*m - 114. Calculate -114*i(u) + q(u).
19*u
Let i(a) = -42*a**3 - 12. Let l(k) = 17*k**3 + 5. Calculate -5*i(w) - 12*l(w).
6*w**3
Let n = 133 + -128. Let u(a) = 10*a**3 + 5*a - 5. Let y(r) = r**3 + r - 1. Determine n*y(j) - u(j).
-5*j**3
Let t(f) = f**3 + 2*f**2 - 2*f + 1. Let g be t(-3). Let l(i) = -i. Let s(v) = 4*v + 1. Determine g*s(m) - 7*l(m).
-m - 2
Let p(h) = -3*h - 5. Let f(v) = 4*v + 7. Calculate 4*f(t) + 5*p(t).
t + 3
Let p(l) = l + 1. Let i(n) = -5*n - 7. Calculate 3*i(u) + 12*p(u).
-3*u - 9
Let l(h) = h**2 + 1. Let y(w) = -4*w**2 - 2. Let f(o) = 3*l(o) + y(o). Let m(p) = -4. Let a(v) = 1. Let d(z) = -2*a(z) - m(z). Determine d(b) - 2*f(b).
2*b**2
Let p(x) = x**2 + x - 1. Let w(h) = 7*h**2 - 3*h + 3. What is 6*p(d) + 2*w(d)?
20*d**2
Let h(u) = 2. Let l(n) = -n - 1. Determine 3*h(z) + 4*l(z).
-4*z + 2
Let z(x) = 7*x**2 - 9*x - 4. Let y(b) be the first derivative of -20*b**3/3 + 13*b**2 + 11*b + 7. Calculate 6*y(u) + 17*z(u).
-u**2 + 3*u - 2
Let d(m) = 3*m**3 - 4*m + 13. Let p(o) = o**3 - o. Give -d(i) + 4*p(i).
i**3 - 13
Let j(h) = -h**2 + 3*h. Let q(x) = -4*x. Determine 2*j(g) + 3*q(g).
-2*g**2 - 6*g
Let y(c) = -3*c**3 + 2 - 5*c**2 - 2*c + 2 + 1. Let j(d) = -d**3 - 2*d**2 - d + 2. Determine -5*j(b) + 2*y(b).
-b**3 + b
Let g(m) = -2*m**3 - 6*m**2 - 4. Let a(h) = h**2 + 1. Give 4*a(o) + g(o).
-2*o**3 - 2*o**2
Let a(q) = -q + 24. Let u(v) = -v + 49. What is 5*a(l) - 3*u(l)?
-2*l - 27
Suppose 0 = -0*u - 2*u + 4. Let t(g) = -2*g + 0*g + u*g - 3*g. Let m(b) = 6*b. Determine 6*m(s) + 11*t(s).
3*s
Let m(f) = -4*f**2 + 5*f + 6. Let d(a) = a**2 + a + 1. Give 4*d(y) - m(y).
8*y**2 - y - 2
Suppose 4 = n + 10. Suppose l - 16 = -5. Let k(u) = 29 + 8*u - 69 + 34. Let f(o) = 15*o - 11. Give l*k(m) + n*f(m).
-2*m
Let i be (-1)/1 + 3 + -6. Let l(t) be the second derivative of -t**3/2 - 3*t**2 + t. Let q(r) = 2*r + 5. Calculate i*q(c) - 3*l(c).
c - 2
Let l(r) be the third derivative of -13*r**4/12 + r**3/2 - 3*r**2 - 7. Let v(m) = 9*m - 1. Determine -6*l(h) - 17*v(h).
3*h - 1
Let l(b) = -1. Let z = -28 + 29. Let t(g) = g - 1. Determine z*t(w) - l(w).
w
Let o(g) = -3*g**2 - 2*g. Let s(h) be the first derivative of -h**3/3 - 8. What is -o(b) + s(b)?
2*b**2 + 2*b
Let h = 30 - 18. Suppose 0*j + h = -3*j. Let s = -40 + 29. Let n(w) = 3*w**3 + 8*w + 3. Let d(f) = -f**3 - 3*f - 1. Give j*n(q) + s*d(q).
-q**3 + q - 1
Let h(i) = 2*i**2 - i - 1. Let o(a) = 7*a**2 - 4*a - 5. Give -9*h(w) + 2*o(w).
-4*w**2 + w - 1
Let o(t) = 2*t**2 - 4*t - 5. Let v(l) = l**2 - 2*l - 2. Suppose 2*r - 3 - 1 = 0. Let h(b) = 3*b + 2 - r - 4*b. Let k be h(-2). Calculate k*o(w) - 5*v(w).
-w**2 + 2*w
Let z(c) = c + 1. Let f(b) = 8*b - 1. Let u(q) = -f(q) + 3*z(q). Let o(s) = -3 + 1 + 1 + s. Determine -2*o(r) - u(r).
3*r - 2
Let d(s) = -6*s**3 + 2*s - 2. Let y(x) = 25*x**3 - x**2 - 9*x + 7. Let o(j) = -9*d(j) - 2*y(j). Let b(k) = -6*k**3 - 3*k**2 - 6. Give 5*b(g) + 7*o(g).
-2*g**3 - g**2 - 2
Let g(k) = -k**3 - k**2 + 1. Let v(c) = c**3 - 6*c**2 + 10*c - 3. Let h be v(4). Let q(d) = -7*d**3 - 5*d**2 + 2*d + 7. Determine h*g(j) - q(j).
2*j**3 - 2*j - 2
Let v(q) = -q + 16. Let d(u) be the first derivative of -1/2*u**3 + 1/2*u**2 + 0*u - 2. Let l(r) be the second derivative of d(r). What is -11*l(m) - 2*v(m)?
2*m + 1
Let c(b) = -5*b**3 + 2*b**2. Let m(g) = -g**2 + 44*g**2 + 3*g**2 - 110*g**3 - g**2. Determine 45*c(i) - 2*m(i).
-5*i**3
Let d(m) = m**3 - 3*m**2 + 2*m. Let x be (-20)/(-9) + -1 - 10/45. Let c(s) = s**2. Determine x*d(i) + 3*c(i).
i**3 + 2*i
Let y(z) = z**2 - 2*z + 2. Let d(v) = -2*v**2 + 3*v - 3. Suppose -33 = -11*b - 0. Give b*y(o) + 2*d(o).
-o**2
Let j(g) = 3 + 0 + 3 - 2*g**2 - 11. Let u(m) = -3*m**2 - 7. Determine 7*j(b) - 5*u(b).
b**2
Let l(f) = -7*f**3 - 7*f**2 + 7*f - 5. Let y = -13 + 7. Let v(p) = -7 - 8*p**2 - 14*p**3 + 1 + 8*p + 6*p**3. Give y*l(m) + 5*v(m).
2*m**3 + 2*m**2 - 2*m
Let z(t) = -197*t**2 + 2*t + 99*t**2 + 99*t**2. Let g(p) = p**2 - p. Give -2*g(d) - z(d).
-3*d**2
Let k(p) = -6*p**2 - 7*p. Let w(l) = -17*l**2 - 20*l. What is 8*k(f) - 3*w(f)?
3*f**2 + 4*f
Let f(g) = g**2 - 5. Let j = 195 + -191. Let d(c) = -4. Determine j*d(b) - 3*f(b).
-3*b**2 - 1
Let f(b) = 2*b**3 - 3*b**2 + 3*b + 3. Let h(j) = j**2 - j - 1. Let p = -5 + 8. Suppose 3*r + 5*v = 3 - 0, -5*r - v + 5 = 0. Calculate p*h(w) + r*f(w).
2*w**3
Let q(x) = -x - 2. Let s be 1 + -1 + 0 - -2. Let b(z) = 2*z - 2 - s*z - z. Suppose 2*i + 2*u - 12 = 0, -4*i - 2*u + 13 = -3. Calculate i*b(v) - 3*q(v).
v + 2
Let r(a) = a**2 + 7*a + 8. Let l be r(-5). Let u(c) = -3*c + 2. Let p(d) = -13*d + 9. Determine l*p(y) + 9*u(y).
-y
Let i(t) = -4*t**3 + 5*t**2 - 1. Let r(f) = -3*f**3 + 