- 4. What is c*t(s) + 4*f(s)?
-39*s**3
Let c(p) = -p. Let z(t) = t - 8. Let n(i) = -36*i + 72. Let r(k) = n(k) + 9*z(k). What is -6*c(g) + r(g)?
-21*g
Let t(m) = -17230*m**3 + 2*m**2 + 14. Let s(c) = -133584190*c**3 + 15507*c**2 + 108549. Give -2*s(n) + 15507*t(n).
-17230*n**3
Let m(q) = -3*q - 1. Let h(u) = -11*u + 13597. Determine h(x) - 3*m(x).
-2*x + 13600
Let h(q) = -3*q - 3. Let y(i) = -2*i - 1. Let j(g) = 4*g**3 + 145*g**2 + 24*g - 430. Let c be j(-36). Let b be 21/(-4) - 2/(-8). What is b*y(u) + c*h(u)?
4*u - 1
Let n(o) = -452*o - 4. Let u(m) = 678*m + 7. Give -8*n(a) - 5*u(a).
226*a - 3
Let l(y) be the third derivative of y**5/60 + 9531*y**2. Let r(z) = -8*z**2 + 2*z + 9. Give 5*l(k) + r(k).
-3*k**2 + 2*k + 9
Let x(g) = -29*g + 6. Let y(q) = -57*q + 11. Suppose 0 = -250*a + 158 + 2592. Determine a*x(v) - 6*y(v).
23*v
Let y(q) = 3*q**3 - 7*q**2 + 6. Let f(x) = -6*x**3 + 13*x**2 - 11. Let t(b) = -4*b**3 + 15*b**2 + 65*b - 211. Let r be t(5). Give r*y(l) - 6*f(l).
3*l**3 - l**2
Suppose -70 + 32 + 44 = 6*g. Let o(c) = c. Let r(h) = 3*h + 17. Determine g*r(t) - 4*o(t).
-t + 17
Let o(n) = -2479*n + 12. Let y(t) = 7196540*t - 34832. Determine 8708*o(j) + 3*y(j).
2488*j
Let z(t) = 21*t**3 - 3*t**2 + 576*t - 15. Let a(h) = -61*h**3 + 8*h**2 - 1729*h + 40. Calculate -3*a(k) - 8*z(k).
15*k**3 + 579*k
Let p(g) = 5*g - 6. Let q(w) = 176. Let l(y) = 411. Let v(k) = 3*l(k) - 7*q(k). Give -p(a) - 4*v(a).
-5*a + 2
Let c(v) = -17*v**2 - 8*v + 3. Let l(j) be the second derivative of 1/2*j**3 + 5*j + 0 - 1/2*j**2 + 1/2*j**4. Suppose 2*q - 4 = 4. Give q*c(h) + 11*l(h).
-2*h**2 + h + 1
Let x(p) = 797*p - 6. Let j(h) = 2. Calculate 3*j(m) + x(m).
797*m
Suppose -217*g + 180*g = 3626. Let f(t) = 42*t - 49. Let u(k) = -k + 1. Give g*u(v) - 2*f(v).
14*v
Let u(z) = 2 - 1 - 2 + z - 1. Let l(a) = 21*a**2 + 39*a + 6. Let i be l(13). Let t(o) = -1 - 2 + i*o - 4060*o. What is 6*t(p) - 10*u(p)?
2*p + 2
Let c(o) = o + 1. Let f(t) = 21*t + 7. Let b = 9172 + -9171. What is b*f(l) - 6*c(l)?
15*l + 1
Let b(i) = -2*i - 5*i**2 - 3*i**3 + 3*i**2 - 4*i**3 - 2 + i**3. Suppose 58*v - 73*v = -30. Let j(x) = 24*x**3 + 9*x**2 + 9*x + 9. Calculate v*j(p) + 9*b(p).
-6*p**3
Let h(o) = 113*o + 23. Let i(m) = -40*m - 9. Determine -6*h(w) - 17*i(w).
2*w + 15
Let f(s) = -7*s**3 + 2*s**2 + 2*s - 2. Let y(a) = a**3 + a**2 - 10*a + 6. Let q be y(-4). Let k(p) = 36*p**3 - 11*p**2 - 11*p + 11. Give q*k(v) - 11*f(v).
5*v**3
Suppose 13*k + 252 = 55*k. Let h(u) = 4*u**2 - 6*u**2 - 6*u + 3*u + u**2. Let w(i) = i**2 + 5*i. What is k*w(v) + 10*h(v)?
-4*v**2
Let v(n) = n**2 - n + 1. Let q be -5 - 276/(-56) - 595/(-98). Let s(i) = 11*i**2 - 13*i + 6. Determine q*v(u) - s(u).
-5*u**2 + 7*u
Let k(t) = -5*t**2 + 175*t. Let h(y) = 5*y. Let z = -1182 - -1187. What is z*k(m) - 175*h(m)?
-25*m**2
Let a = 3947 - 3947. Let i(p) be the second derivative of 0*p**2 - 2/3*p**3 + a + 1/12*p**4 - 12*p. Let n(x) = -x**2 + 5*x. Determine -5*i(l) - 4*n(l).
-l**2
Let p(r) be the third derivative of 1/24*r**4 - 1/60*r**5 + 1/6*r**3 - 8 + 0*r + 3*r**2. Let f(j) = -8*j**2 + 5*j + 3. Determine -f(c) + 5*p(c).
3*c**2 + 2
Let z(y) = -49*y - 2. Let p = 28233 - 28092. Let i(f) = -3431*f - 141. Give p*z(n) - 2*i(n).
-47*n
Let j(u) = 10*u + 2. Let d(a) = 13*a - 42. What is d(w) + 6*j(w)?
73*w - 30
Let n(w) = 4*w + 3. Let g = 241 - 138. Let r = 93 - g. Let d(x) = 7*x + 5. What is r*n(i) + 6*d(i)?
2*i
Let l(b) be the first derivative of -4*b + 23 - 11/3*b**3 + 2*b**2. Let k(z) = 98*z**2 - 35*z + 35. What is -4*k(c) - 35*l(c)?
-7*c**2
Let r(h) = 17*h**2 - 6*h + 129. Let s(y) = -32*y**2 + 11*y - 239. Determine -13*r(i) - 7*s(i).
3*i**2 + i - 4
Let j(q) = -q**3 + q**2 - 13*q - 2. Let i(s) = -18768*s**3 + 2*s**2 - 26*s - 4. Give -i(d) + 2*j(d).
18766*d**3
Let q(h) = -9*h + 32. Let a(k) = 40*k + 32. Let s(o) = 83*o + 68. Let n(j) = 25*a(j) - 12*s(j). Give 5*n(f) + 2*q(f).
2*f - 16
Let y(j) = -5962*j**2 + 378*j - 22. Let t(x) = 542*x**2 - 33*x + 2. Determine 23*t(v) + 2*y(v).
542*v**2 - 3*v + 2
Let x(k) be the first derivative of 5*k**3/3 + 3*k**2 - 6*k - 733. Let f(m) = m - 1. Determine 6*f(z) - x(z).
-5*z**2
Let i(t) = -775 - 12*t**3 + 5*t + 8*t**3 + 771 + 4*t**2. Let j(w) = -3*w**3 + 4*w**2 + 4*w - 3. Calculate 4*i(f) - 5*j(f).
-f**3 - 4*f**2 - 1
Let y(t) = -6 - 1041*t + 1037*t + 21 - 13. Let m(n) = -21*n + 29. Let h(d) = -11*d + 14. Let z(a) = -13*h(a) + 6*m(a). Calculate 26*y(w) + 6*z(w).
-2*w + 4
Let g(p) = p**3 - p**2 - p. Let b(d) = -d - 5*d - 25*d**2 + 24*d**2 + 5*d. Let y(x) = x. Let u be y(-4). Give u*g(q) + 4*b(q).
-4*q**3
Let c(r) = 13*r**2 + 13*r + 9. Let x(s) be the third derivative of 0 + 0*s + 1/4*s**4 + 149*s**2 + 1/10*s**5 + 2/3*s**3. Give 4*c(p) - 9*x(p).
-2*p**2 - 2*p
Let k(j) = -7*j**3 + 5*j**2 + 13*j - 34. Let q(r) = 29*r**3 - 20*r**2 - 51*r + 151. Determine 9*k(p) + 2*q(p).
-5*p**3 + 5*p**2 + 15*p - 4
Let q(z) = 303*z**3 - 707*z - 1414. Let j(b) = -b**3 + b + 2. Give -2121*j(k) - 3*q(k).
1212*k**3
Let w(p) = -9676387*p**2 - 9427. Let x(d) = -5132*d**2 - 5. What is 5*w(f) - 9427*x(f)?
-2571*f**2
Let r(a) be the first derivative of 7*a**2/2 + 4*a - 1. Suppose -15*j - 78 = 72. Let x be -5 + -2 + j + 16. Let c(q) = -q - 1. What is x*r(k) - 4*c(k)?
-3*k
Let a be ((-48)/(-80))/((-6)/(-10)). Let w(c) = 12*c + 7*c + a - 11*c - c. Let o(i) = -8*i - 1. Give -3*o(v) - 4*w(v).
-4*v - 1
Let m(n) = 38*n + 793. Let d(c) = -9*c - 3. Calculate -4*d(z) - m(z).
-2*z - 781
Suppose 4 = q + 8, -u - 73 = -q. Let h(r) = 3 + 2 - 1 + 3*r. Let l(c) = -56*c - 77. Let i(a) = u*h(a) - 4*l(a). Let n(v) = -8*v. Calculate 7*i(b) - 6*n(b).
-b
Suppose -g = 2*l - 7, -3*l - 4 + 32 = 5*g. Let k(u) = -g*u + 2*u - 4*u. Let r(s) = -20*s + s + 21*s. What is 6*k(b) + 22*r(b)?
2*b
Let o(u) be the second derivative of u**4/12 - u**2/2 + 2108*u. Let m(k) = 4*k**2 - 14. Calculate -m(i) + 5*o(i).
i**2 + 9
Let c(n) = -6*n**2 + 3. Let h be ((-232)/(-6264))/(2/162). Let r(v) = 6*v**2 - 2. What is h*r(p) + 2*c(p)?
6*p**2
Let o(x) = 63*x - 15. Let a(t) = -5*t**3 + 22*t**2 - 12*t + 31. Let b be a(4). Let i(g) = 16*g - 4. Calculate b*i(z) - 4*o(z).
-12*z
Let w(v) = 3*v**2 + 1281*v - 73. Let y(d) = -7*d**2 - 2561*d + 158. What is -13*w(q) - 6*y(q)?
3*q**2 - 1287*q + 1
Let s(f) = -3*f + 7. Let j(q) = -13*q + 28. Let h(z) = z**2 + 64*z - 894. Let c be h(12). Calculate c*s(m) - 4*j(m).
-2*m + 14
Let f(b) = -b - 1. Let i(x) be the third derivative of -5*x**4/24 + x**3/3 - 78*x**2 - 6*x. Calculate -f(v) + i(v).
-4*v + 3
Let a(b) = 9*b**2 + b + 5. Let p(h) = 2*h**2 + 5*h. Let v(q) = -7*q**2 + 13*q - 7. Let t(g) = 3*p(g) - v(g). Calculate -7*a(s) + 5*t(s).
2*s**2 + 3*s
Let k(i) = i - 1587. Let v(s) = s - 2. Give -k(h) - v(h).
-2*h + 1589
Let p(x) = x**3 - 32*x**2 + 33*x - 8. Let j(y) = y**3 - 29*y**2 + 32*y - 6. What is -4*j(s) + 3*p(s)?
-s**3 + 20*s**2 - 29*s
Let l(q) be the first derivative of -5*q**2/2 + 14*q - 1403. Let n(a) = -a + 1. Give -l(h) + 6*n(h).
-h - 8
Let n(u) = -10*u - 2. Let x(w) = 9*w + 2. Let c = -20915 + 20919. Suppose 6 = 3*q - 9. What is c*n(b) + q*x(b)?
5*b + 2
Let a(d) = 6*d**2 - 10*d - 1598. Let l(n) = 2*n**2 - 4*n - 800. Give -2*a(y) + 5*l(y).
-2*y**2 - 804
Let m(l) = -l**2 + 5*l. Let s(o) = 13*o**3 + 4*o**2 - 20*o - 5. Let p(i) = 28*i**3 + 8*i**2 - 39*i - 11. Let k(u) = 6*p(u) - 13*s(u). Give 2*k(w) - 11*m(w).
-2*w**3 + 3*w**2 - 3*w - 2
Let s(i) = 83*i**3 - 8*i**2 + 14*i + 3. Let t(p) = 85*p**3 - 6*p**2 + 10*p + 3. Give 2*s(b) - 3*t(b).
-89*b**3 + 2*b**2 - 2*b - 3
Let b(l) = l**3 - 2*l**2 + 3*l + 2. Suppose 0*c + 28*c - 168 = 0. Let i(d) = -6*d**3 + 11*d**2 - 17*d - 12. Give c*i(u) + 34*b(u).
-2*u**3 - 2*u**2 - 4
Let b(s) = 4*s - 7. Suppose p + 19 = -5*r - 9, 5*p = -2*r - 25. Let c(n) = -11 + 4*n + 0*n + 4 - 1 + 0*n. Calculate r*c(v) + 6*b(v).
4*v - 2
Let d(t) = 21*t**2 + 2*t - 1. Let a(p) = -20*p**2 - 2*p + 2. Calculate -2*a(m) - 3*d(m).
-23*m**2 - 2*m - 1
Let j = -77 - -88. Suppose -2*m + 9 = 3. Let n(b) = b - 5*b**m - 5*b**3 + 7*b**3 + 2*b**3 + 2. Let u(w) = -5*w**3 + 6*w + 11. Give j*n(r) - 2*u(r).
-r**3 - r
Let r(a) = -2*a**2 - a - 15. Let o(z) = 3*z**2 + 120*z + 44. What is -o(s) - 3*r(s)?
3*s**2 - 117*s + 1
Let c(y) = -y + 1. Let r(q) = 5*q - 3. Let v(m) = -11*c(m) - 2*r(m). Let z(w) = w - 6. Determine 6*v(d) - 5*z(d).
d
Let c(v) = 6*v**