hat is 4*n(r) + 5*v(r)?
4*r
Let y(n) = -15*n**3 + 1338*n**2 + 14*n + 7. Let t(i) = 2*i**3 - 2*i**2 - 2*i - 1. Give -7*t(b) - y(b).
b**3 - 1324*b**2
Let x be (6 - 4)*(-6)/(-4). Let k = 0 - 2. Let j be (8/(-12)*x)/k. Let t(u) = -u**3 + u + 1. Let a(p) = 3*p**3 - 5*p - 2. Give j*a(m) + 4*t(m).
-m**3 - m + 2
Let w(q) = -6*q - 9. Let p(k) be the third derivative of -k**4/24 - k**3/6 - 4*k**2. Suppose 19*f = 14*f - 20. What is f*p(h) + w(h)?
-2*h - 5
Let p(y) = -y - 1. Let b(z) = -243*z**2 - 7*z - 9. Give b(q) - 7*p(q).
-243*q**2 - 2
Let h(t) = -13*t**3 + 11*t**2 + 11*t + 4. Let w(s) = -6*s + 340*s**3 - 333*s**3 - 9 + 7 - 6*s**2. Calculate -6*h(c) - 11*w(c).
c**3 - 2
Let l(f) = 9*f + 32*f**2 + 15 - 8 - 28*f**2. Let a(h) = 2*h**2 + 4*h + 3. Determine -9*a(z) + 4*l(z).
-2*z**2 + 1
Let s(z) = -48546*z. Let x(w) = -95*w. Calculate 6*s(q) - 3069*x(q).
279*q
Let a(n) = n**3 - 8*n**2 - 5*n + 82. Let p be a(7). Let k(r) = -9*r**3 - 2*r**2 - 2. Let w(s) = -27*s**3 - 7*s**2 - 7. Give p*w(m) + 7*k(m).
-9*m**3
Let y(g) = 56*g**2 - g - 1. Let a(d) = d**2 + 1. Determine 2*a(c) + 2*y(c).
114*c**2 - 2*c
Let h(r) = r**3 + r + 1. Let o(i) = -36*i**3 + 4*i**2 - 6*i - 6. Give -6*h(z) - o(z).
30*z**3 - 4*z**2
Let f be (9*1)/((-13)/((-182)/(-21))). Let w(m) = -4*m**3 - 6*m**2 - 7*m - 4. Let z(n) = -5*n**3 - 7*n**2 - 8*n - 5. What is f*z(h) + 7*w(h)?
2*h**3 - h + 2
Let n(b) = -b**3 + 11 - 5*b**3 + 20*b + 0*b**3 + b**3 + 11*b**2. Let r be 94/(-8) - (-6)/8. Let t(a) = 2*a**3 - 4*a**2 - 7*a - 4. Calculate r*t(u) - 4*n(u).
-2*u**3 - 3*u
Let z(s) = -72*s**2 - 2*s + 2. Let f(m) = 289*m**2 + 9*m - 8. Give 2*f(d) + 9*z(d).
-70*d**2 + 2
Let s(k) = k. Let y(m) = m**3 - 19*m**2 - 21*m + 27. Let v be y(20). Let j = -5 + v. Let d(p) = -5*p. Determine j*d(x) + 11*s(x).
x
Let h(y) be the second derivative of y**4/6 + y**3/3 - y**2 - 168*y. Let d(i) = i - 1. Let u = -5 - -3. Calculate u*d(g) + h(g).
2*g**2
Suppose -520 = -0*v - 8*v. Let g(j) = -7*j**3 + 6*j**2 + 6*j. Let c(k) = 78*k**3 - 65*k**2 - 65*k. What is v*g(q) + 6*c(q)?
13*q**3
Let d be ((-2)/(-5))/(2/30). Let y(v) = 5*v - 7. Let r(t) be the first derivative of -11*t**2/2 + 15*t + 263. Calculate d*r(s) + 13*y(s).
-s - 1
Let q(l) = 4*l**2 - 4*l + 4. Let j(x) = 3*x**2 - 5*x + 3. Give 5*j(y) - 4*q(y).
-y**2 - 9*y - 1
Let a(l) = -14*l**2 - 4*l - 24. Let c(p) = 8*p**2 + 2*p + 11. Calculate -3*a(u) - 5*c(u).
2*u**2 + 2*u + 17
Let d be (3/(-5))/(15/(-150)*-2). Let i(l) = 2*l - 2. Let c(r) = 4*r - 3. What is d*c(v) + 7*i(v)?
2*v - 5
Let k(h) = 4*h + 5. Suppose 0 = 2*c - 6 - 6. Let b(j) = c - 1 + 5*j + 1. Let o(q) = q**2 + 11*q + 6. Let x be o(-11). Determine x*b(w) - 7*k(w).
2*w + 1
Suppose -3*z - 19 = 5*h - 4*z, -3*z + 17 = -5*h. Let x(w) = 3*w**2 + 6*w. Let s(t) = -6*t**2 - 11*t. Suppose 0 = 2*y - 0*y + 14. What is h*s(p) + y*x(p)?
3*p**2 + 2*p
Let l(a) = 3*a**3 - 33*a**2 + 45*a - 18. Let s(v) = 2*v**2 - 2*v + 1. Give -l(c) - 18*s(c).
-3*c**3 - 3*c**2 - 9*c
Let m(a) be the third derivative of a**4/8 + a**3/6 + 2*a**2. Let b(f) = f. Let c(w) = 7*w + 37. Let o be c(-5). Calculate o*b(t) - m(t).
-t - 1
Let q = 794 - 793. Let l(n) = -n**2 - n + 1. Let a(d) = 2*d**3 + 6*d**2 + 6*d - 6. What is q*a(k) + 6*l(k)?
2*k**3
Let b(a) = -31*a**3 + 4*a**2 - 4. Let m(l) = 28*l**3 - 3*l**2 - l + 3. Determine -3*b(x) - 4*m(x).
-19*x**3 + 4*x
Let n(u) = u - 3. Let v be n(-3). Let j be 30/34 + 10/85. Let o(y) = -y + 7. Let l(p) = 1. Calculate j*o(g) + v*l(g).
-g + 1
Suppose -28 = 9*t - 13*t. Suppose 4*h + 3*j = -t, 2*h - 4*j + 28 = -2*h. Let k(x) be the first derivative of 3*x**2 - 15. Let q(y) = -5*y. Give h*q(l) - 3*k(l).
2*l
Let r(n) = 2*n**3 + 4*n**2 - 2*n. Let f(a) = 4*a**3 + 7*a**2 - 3*a - 1. What is 4*f(x) - 7*r(x)?
2*x**3 + 2*x - 4
Let f be ((-22)/(-4))/((-21)/210). Let k(m) = 11*m - 2. Let j(n) = 297*n - 55. Give f*k(w) + 2*j(w).
-11*w
Let u(k) = -k**3 - k + 1. Suppose -2*z + 2*v - 38 = 0, -24*z + 4*v = -23*z + 34. Let n(t) = 9*t**3 + 7*t - 7. Determine z*u(x) - 2*n(x).
-4*x**3
Let x(m) = 8*m**3 - m**2 - m - 1. Let a(z) = -29*z**3 - 3*z**2 + 4*z + 26. Determine -a(y) - 4*x(y).
-3*y**3 + 7*y**2 - 22
Let o(f) = 3*f**3 - 3*f**2 + 1. Let k(y) = -2*y**3 + y**2 - 2. Calculate -4*k(c) - 3*o(c).
-c**3 + 5*c**2 + 5
Let c(g) = 13*g**3 + 5*g**2 - 5*g - 5. Let k(d) = -416 + 2*d**2 + 106 + 106 + 101 + 6*d**3 + 101 - 2*d. Determine 2*c(h) - 5*k(h).
-4*h**3
Let g(c) = 7*c**3 - 6*c**2 + 5. Let b(q) be the first derivative of -15/4*q**4 - 11*q + 0*q**2 - 13 + 13/3*q**3. Determine -6*b(k) - 13*g(k).
-k**3 + 1
Let c(i) = 7. Let x(n) = -n - 2. Give -4*c(l) - 14*x(l).
14*l
Let o(b) = -19*b - 3. Let n(u) = 94*u + 16. Suppose 0 = -y - 5*w + 18, 4*y - 33*w = -35*w + 18. What is y*n(v) + 16*o(v)?
-22*v
Let u(p) = 13*p**2 - 7*p + 4. Let g(q) = -6*q**2 + 2*q - 2. Let v(j) = 5*g(j) + 2*u(j). Let w(i) = -5*i**2 - 4*i - 2. Determine -3*v(t) + 2*w(t).
2*t**2 + 4*t + 2
Let t(w) = 1140*w**3 + 25*w - 25. Let a(f) = 190*f**3 + 4*f - 4. Determine 25*a(k) - 4*t(k).
190*k**3
Let w(s) = 7*s**2 + 3*s. Let l(n) = -6*n**2 - 4*n - 49*n**2 - 12*n + 19*n**2. Calculate -3*l(a) - 16*w(a).
-4*a**2
Let m(q) = -q - 1. Let l = -5 + 4. Let w(u) be the first derivative of -u**3/3 + 7*u**2/2 + 4*u - 438. Let t(v) = 5*v. Let h be t(-1). What is h*m(i) + l*w(i)?
i**2 - 2*i + 1
Let s(l) = -2*l - 2. Let g(r) be the third derivative of r**4/12 + r**3/6 - 433*r**2. Calculate -7*g(z) - 6*s(z).
-2*z + 5
Let j(r) = -r**3 + r**2 - 2. Let y(q) = -3*q**3 + 4*q**2 - 4*q + 51. Give 4*j(f) - y(f).
-f**3 + 4*f - 59
Let s(r) = 16*r**3. Let u be (-46)/4 + -5*4/40. Let z(t) = 40*t**3. What is u*s(h) + 5*z(h)?
8*h**3
Let u(f) = 4*f + 2. Let y(m) = m**2 + 3*m + 7. Let c be y(-4). Suppose -c*x = -9*x + 6. Let s(z) = z**2 - 5*z - 2. Give x*u(l) - 2*s(l).
-2*l**2 - 2*l - 2
Let v(t) = -7*t**2 - 21. Let i be (0 - 2) + 3 + -2. Let m(r) = -1. Give i*v(x) + 21*m(x).
7*x**2
Let o(z) = 5*z**3 - z**2 + z + 4. Suppose 78*k = 87*k - 45. Suppose 0 = 4*q - 3*q - 4. Let c(n) = -6*n**3 + n**2 - n - 5. Give k*o(s) + q*c(s).
s**3 - s**2 + s
Let n(k) = 2*k**2 - 143*k - 10. Let w(f) = -2*f**2 + 141*f + 8. Give -4*n(o) - 5*w(o).
2*o**2 - 133*o
Let z(s) = -11*s**2 + 22*s - 12. Let o(c) = 5*c**2 - 10*c + 6. What is -9*o(y) - 4*z(y)?
-y**2 + 2*y - 6
Let q(u) = 2*u**3 - 24*u**2 - 9*u + 112. Let s be q(12). Let t(p) = -5*p - 2. Let n(w) = w. Let c = 1 - 0. Calculate c*t(b) + s*n(b).
-b - 2
Suppose 3*b = -12, b + 3*b = -2*d + 14. Let f(j) = -11*j + 24 - 6 + 19*j**3 - 14 - d. Let h(m) = -5*m**3 + 3*m + 3. What is 6*f(r) + 22*h(r)?
4*r**3
Let x(m) = 25*m**3 + m**2 - 5*m + 3. Let h(p) = -50*p**3 - 2*p**2 + 11*p - 7. Calculate -3*h(u) - 7*x(u).
-25*u**3 - u**2 + 2*u
Let i(z) = -2*z + 11. Let w(a) = -a + 6. Suppose 12*g - 14*g - 104 = 0. Let p = 56 + g. Calculate p*i(n) - 7*w(n).
-n + 2
Let k(r) = 2*r**2 - 4. Let t(d) be the first derivative of d**3 - 5*d - 1/4*d**4 + 0*d**2 - 9. Suppose 4*m = -0*l + 3*l + 15, 4*l = m - 7. Give m*k(a) - 2*t(a).
2*a**3 - 2
Let m(j) = -j**2 + 4*j + 1. Let p(q) = -1416*q - 354. What is -354*m(t) - p(t)?
354*t**2
Let i(p) = -7*p - 6. Let d(b) = -b - 7. Let a(q) = -9. Let c(j) = -2*a(j) + 3*d(j). What is 5*c(s) - 2*i(s)?
-s - 3
Let m(s) = 2*s**2 + 2*s - 3. Let y(v) = -5*v**2 + 8 + 12787*v - 25574*v + 12782*v. Let a = -1 - -5. What is a*y(p) + 11*m(p)?
2*p**2 + 2*p - 1
Let z(y) be the second derivative of 2*y**3 - 5*y**2 - 570*y. Let b(h) be the second derivative of 1/6*h**3 - 1/2*h**2 - h + 0. Determine -22*b(n) + 2*z(n).
2*n + 2
Let d(u) = 111*u**2 - 3*u + 2. Let c(f) = 220*f**2 - 7*f + 4. What is -3*c(w) + 7*d(w)?
117*w**2 + 2
Let i(z) = -24*z + 14. Let j(p) = 17*p + 15*p - 37*p + 3. Give -6*i(h) + 28*j(h).
4*h
Let l(w) = -w**3 - 5*w**2 - 6. Let k(p) = -p**3 - 3*p**2 - 3. Suppose 4*y - 3*x + 8 = 0, -5*x + 17 = -5*y - 3*x. Give y*k(j) + 3*l(j).
2*j**3 - 3
Let s be (-4)/(-6)*5/(-4)*6. Let o(f) = 9*f**2 + 13*f. Let v(h) = 5*h**2 + 7*h. Calculate s*v(j) + 3*o(j).
2*j**2 + 4*j
Let g(i) = i + 4. Let a be 1 + 7/(-2)*(-24)/42. Let u(t) be the third derivative of 7/6*t**3 + 1/24*t**4 + 0*t - 2*t**2 + 0. Determine a*u(j) - 5*g(j).
-2*j + 1
Let u(m) = -6*m. Let i(a) = a + a + 0*a. Let y = 25 - 23. Suppose -3*f + y*f + 8 = 0. Calculate f*i(b) + 3*u(b).
-2*b
Let s(a) = 8*a**2 + 4*a - 1. Let t(d) = -29*d**2 - 8*d + 6. Let j(k) = -