- 11. What is -2*f(u) + 5*g(u)?
u**2 - 8*u - 3
Let a(i) = 36*i**3 + 309*i**2 - 17*i - 27. Let o(y) = -9*y**3 - 77*y**2 + 4*y + 6. Give -2*a(m) - 9*o(m).
9*m**3 + 75*m**2 - 2*m
Let l(f) = 5764*f + 14. Let t(n) = -2882*n - 6. Give 3*l(k) + 7*t(k).
-2882*k
Let i(z) = 16*z - 44. Let t(u) = u - 3. Let y = -1753 + 1665. Determine y*t(v) + 6*i(v).
8*v
Let n(o) = 7*o**3 - 5*o - 1. Let z(j) = 339*j - 5420. Let l be z(16). Let u(i) = i**3 - 4*i + 3*i**3 + 2*i**3 + 0*i**3. Calculate l*n(w) - 5*u(w).
-2*w**3 - 4
Let t(p) be the third derivative of p**4/24 + p**2. Let g(w) = -38*w**2 - 49*w - 42*w + 97*w + 37*w**2. Give -g(d) + 6*t(d).
d**2
Let w(u) = -u**2 - 4*u - 2. Let d(k) = -k. Let i = 94 - 85. Suppose -11*y - i = 2. Calculate y*w(t) + 3*d(t).
t**2 + t + 2
Let a(z) = -9204*z - 41. Let m(h) = -1532*h - 7. Calculate -6*a(w) + 35*m(w).
1604*w + 1
Let k(h) = -44 - 2*h**2 - 3585*h + 7046*h - 3448*h. Let p(m) = m**2 - 7*m + 22. Give 6*k(w) + 11*p(w).
-w**2 + w - 22
Let m(n) be the second derivative of -1/3*n**3 - 1/12*n**4 - 3/2*n**2 + 65*n + 0. Let j(p) = p**2 - 1. What is 5*j(q) - m(q)?
6*q**2 + 2*q - 2
Let v(u) = -24*u + 33. Let m be (4 - (-4)/(-4)) + -4. Let b be m/((-3 - -7)/(-132)). Let d be 3*(-1 + 21/9). Let t(l) = 3*l - 4. Calculate b*t(w) + d*v(w).
3*w
Suppose -10*u - 73 = -113. Suppose w = k - u*k + 3, 0 = 4*k - 12. Let a(i) = 8*i**2 + 3*i + 1. Let r(m) = -23*m**2 - 8*m - 3. Give w*r(o) - 17*a(o).
2*o**2 - 3*o + 1
Let p(w) be the second derivative of -w**5/5 - w**4/4 - 5*w**2/2 - 88*w. Let k be (2/8)/((-24)/(-384)). Let d(o) = -4*o**3 - 2*o**2 - 4. Give k*p(f) - 5*d(f).
4*f**3 - 2*f**2
Suppose -m - 17 = 5*u, -u = 2*m + 3*u + 16. Let w(v) = -83*v**3 + 2. Let d(q) = 10292*q**3 - 249. Give m*d(n) - 249*w(n).
83*n**3
Let w(b) = 1678*b**3 + 4*b**2 + 4*b + 3. Let g(n) = -5042*n**3 - 11*n**2 - 11*n - 8. What is -4*g(r) - 11*w(r)?
1710*r**3 - 1
Let c(b) = 5*b**3 + 7*b**2 + 29*b + 3. Let x(m) = 7*m**3 - 3*m**2 - 1 + 3*m**3 - 7*m**3 - 18*m - 5*m**3 + 3*m. Calculate 3*c(s) + 7*x(s).
s**3 - 18*s + 2
Suppose 3*x - 5*j + 3 = 5*j - 9*j, 0 = -4*j. Let z(p) = 16*p + 20. Let m(h) = h + 1. What is x*z(u) + 20*m(u)?
4*u
Let x(p) = -5*p + 19. Let b(o) = 2*o - 7. Calculate 4*b(q) + 2*x(q).
-2*q + 10
Let i(y) = 96*y**2 + 24*y - 24. Let o(j) = -j**3 + 12*j**2 + 44*j + 39. Let w be o(15). Let x(g) = -19*g**2 - 5*g + 5. Calculate w*x(a) + 5*i(a).
24*a**2
Let z(h) = 3*h**3 - 2. Suppose -25 = -5*g + 5*q, 2*g + q = 33 - 23. Let l(s) = -3*s**3 + 2. Calculate g*z(r) + 6*l(r).
-3*r**3 + 2
Suppose 3 + 3 = 2*t. Let i = -1 - t. Let s(k) = -5*k + 2. Let h(r) be the third derivative of -r**4/24 + r**3/6 - 7971*r**2. Calculate i*h(g) + s(g).
-g - 2
Let r(f) = -20*f**2 + 6*f - 4. Let d(c) be the third derivative of c**4/24 - c**3/6 + 3*c**2 + 3*c + 113. Determine -4*d(w) + r(w).
-20*w**2 + 2*w
Let u(m) = -7*m + 2. Let q(l) = 11*l - 8 + 3 - l + 2. Give -5*q(r) - 7*u(r).
-r + 1
Let h(g) = 1. Suppose 92 - 55 = 13*v + 24*v. Let i(r) be the second derivative of -3/2*r**2 - 1/2*r**3 + 0 + 3*r. What is v*i(s) + 2*h(s)?
-3*s - 1
Let w(p) = -14*p**2 + 1. Let u(k) = 144*k**2 + 24. Give -u(m) - 7*w(m).
-46*m**2 - 31
Let v(r) = -5*r - 3. Suppose -u + 4 = -0. Let q(i) = -5*i - 463 + 152 + 153 + 156 + i. Give u*v(g) - 6*q(g).
4*g
Let a(b) = -6 + 4 + 3*b - 4. Let i be (4 + -178*6/60)*-35. Let n = -490 + i. Let y(r) = -5*r + 11. What is n*a(p) - 4*y(p)?
-p - 2
Let g(v) = 9*v + 699. Let l(p) = 14*p + 1045. Give -8*g(z) + 5*l(z).
-2*z - 367
Let r = 47 + -27. Suppose 8*j + r - 124 = 0. Let l(t) = 1 - j*t + 14*t - 8*t. Let z(p) = -3*p + 1. Give -2*l(c) + 5*z(c).
-c + 3
Let m(t) = t**3 - 3*t - 1. Let q be (-270)/(-110) - (-11)/(484/24). Let k(c) = -c - 63*c**2 + 28*c**2 + 34*c**2. What is q*k(g) - m(g)?
-g**3 - 3*g**2 + 1
Let i(g) = 4*g**2 - 5*g - 1. Let s = 11090 + -11092. Let m(d) = -17*d**2 + 20*d + 3. What is s*m(o) - 9*i(o)?
-2*o**2 + 5*o + 3
Let l(g) = -1171*g**2 - 12. Let w(p) = 4684*p**2 + 45. Calculate 15*l(t) + 4*w(t).
1171*t**2
Let y(a) = a**3 + a**2 - a - 7. Let l(n) = -6*n**3 - 33*n**2 + 5*n + 25. Calculate -l(t) - 3*y(t).
3*t**3 + 30*t**2 - 2*t - 4
Let l(o) = 83*o**2 - 20*o**2 - 9*o + 7 - 60*o**2. Let n(r) = 4*r**2 - 13*r + 10. Let b(q) = q**2 - 17*q - 145. Let f be b(-6). Give f*l(y) + 5*n(y).
-y**2 - 2*y + 1
Let q(x) = -4*x**3 - 9*x**2 - 2*x. Let t(h) be the second derivative of h**5/20 + h**3/6 + 22*h - 6. Give q(b) + 3*t(b).
-b**3 - 9*b**2 + b
Let p(q) = 6*q**3 - 9*q**2 - 14. Let w(o) = -14*o**3 + 18*o**2 + o + 34. Determine 5*p(f) + 2*w(f).
2*f**3 - 9*f**2 + 2*f - 2
Let x = 199 + -195. Let d(v) = 3 + x*v**2 + 6*v**2 + 5*v - 11*v**2 - 3. Let h(t) = 2*t**2 - 9*t. Give -5*d(r) - 3*h(r).
-r**2 + 2*r
Let n(r) = -8*r + 2. Suppose -10*x + 19 = -1. Suppose -3 + 2 = -x*g + 5*d, -3*g + 6 = -3*d. Let p(q) = q + 2 - 1 - g + 1. Give n(b) + 2*p(b).
-6*b
Let x(z) = 5*z**2 - 3*z + 4. Let r(a) = 434232*a**2 - a - 434226*a**2 + 5 - 5*a + 2*a. Determine -3*r(i) + 4*x(i).
2*i**2 + 1
Let h(i) = 9*i**3 - 2*i**2. Let b(p) be the first derivative of 217*p**4/4 - 49*p**3/3 - 5. Let a be (-38)/16 - (1 - (-1 - (-19)/8)). What is a*b(j) + 49*h(j)?
7*j**3
Let b(u) = -1465*u - 116. Let h(w) = -293*w - 21. What is -4*b(m) + 22*h(m)?
-586*m + 2
Let p(y) be the first derivative of -15*y**2/2 - y + 1446. Let u(r) = 14*r + 1. Determine 5*p(s) + 4*u(s).
-19*s - 1
Let b(r) = 22*r**2 + 8*r + 16. Let d = -675 + 680. Let x(c) = 7*c**2 + 3*c + 5. Determine d*b(j) - 16*x(j).
-2*j**2 - 8*j
Let y(f) = 668*f**2 - 11*f + 10. Let m(v) = 1340*v**2 - 20*v + 17. Give 4*m(c) - 7*y(c).
684*c**2 - 3*c - 2
Let q(g) = -g**3 - g**2 + 3*g + 1. Let t be q(-1). Let d(n) = -n**3 - n - 1. Let u(r) = 2*r**2 + 2 + 4*r**3 + 0*r**2 + 2*r + 0. What is t*d(f) - u(f)?
-2*f**3 - 2*f**2
Let l(z) = 8*z**2 - 94*z - 28. Let q be l(12). Let h(w) = -2*w**3 - 4*w**2 - 2*w - 17. Let f(m) = 3*m**3 + 7*m**2 + 3*m + 35. Calculate q*f(k) - 7*h(k).
2*k**3 + 2*k - 21
Let l(a) = 16*a - 4. Let p(m) = m**2 - 18*m + 5. Let q(w) = 6*l(w) + 5*p(w). Let u(o) = -8*o + 4*o - o**2 + 3*o. Determine 2*q(f) + 11*u(f).
-f**2 + f + 2
Let q(z) = -7*z**3 - 14*z**2 - 1832. Let n(g) = 10*g**3 + 21*g**2 - g + 1833. What is 2*n(o) + 3*q(o)?
-o**3 - 2*o - 1830
Let l(x) = 108*x**2 + 33*x - 54. Let u(a) = -325*a**2 - 97*a + 144. What is -8*l(r) - 3*u(r)?
111*r**2 + 27*r
Let i(z) = z**3 + 3*z**2 + 4*z - 5. Let m(t) = -t**3 - 5*t**2 - 7*t + 9. Suppose 185*a + 1168 - 243 = 0. What is a*i(j) - 3*m(j)?
-2*j**3 + j - 2
Let w(x) be the third derivative of 0*x + 1/6*x**4 - 1/120*x**6 - 1/60*x**5 + 3 - x**2 + 0*x**3. Let l(h) = h. Determine -4*l(t) + w(t).
-t**3 - t**2
Let t(l) = l**3 - 161*l**2 + 10*l - 63. Let z(r) = -r**3 + 114*r**2 - 7*r + 41. What is -5*t(j) - 7*z(j)?
2*j**3 + 7*j**2 - j + 28
Let o(c) = -38*c**2 + 17*c + 8. Let l = -936 - -942. Let h(p) = 13*p**2 - 6*p - 3. Calculate l*o(z) + 17*h(z).
-7*z**2 - 3
Let q(u) = -u**3 - u**2 - u. Let l(w) = w**3 - 3*w**2 - 4*w. Suppose 3*v = 2*a - 3*a - 2, 5*v + 2*a = -6. Suppose 0 = 2*g - 0*g + 2. What is g*l(p) + v*q(p)?
-3*p**3 + p**2 + 2*p
Let l(s) = s**2. Let y = 1 - -6. Let v = 12 - y. Suppose -v - 3 = -5*a + 2*x, a - 7 = -5*x. Let f(i) = 2*i**3 - 3*i**2. What is a*f(m) + 6*l(m)?
4*m**3
Let l(r) = -5*r**3 - 5*r**2 + 119*r - 3. Let g(d) = -6*d**3 - 7*d**2 + 118*d - 4. Give -3*g(x) + 4*l(x).
-2*x**3 + x**2 + 122*x
Let g(l) = -3428*l - 64. Let u(y) = -3428*y - 53. Calculate 5*g(x) - 6*u(x).
3428*x - 2
Let l(j) = 29*j**2 - 111*j + 2. Let v(u) = -2*u**2 + 4*u. Determine -l(r) - 8*v(r).
-13*r**2 + 79*r - 2
Let m(x) = x**3. Let i(v) = -170*v**3 + 25*v**2 + 100*v - 25. Let a(r) = 21*r**3 - 3*r**2 - 12*r + 3. Let d(t) = -50*a(t) - 6*i(t). Calculate 2*d(o) + 28*m(o).
-32*o**3
Let i(p) = p**3 + p**2. Let q(o) = -7*o**3 - 27*o**2 - 1. Let g = -8175 - -8181. Calculate g*i(f) + q(f).
-f**3 - 21*f**2 - 1
Suppose 2*p - w = 1, -2*p + 17 = -5*w + 4. Let l(c) = -3*c**3 - 32*c**2 - 2*c + 1. Let k(o) = o**3 - o**2 + o. Give p*l(i) - 2*k(i).
i**3 + 34*i**2 - 1
Let v(b) = 3*b + 7. Let h(s) = 21*s - 49. Let z be h(4). Let y be (-4 + z/7)*(0 - 7). Let i(c) = -2*c - 5. What is y*i(j) - 5*v(j)?
-j
Let c(h) = 2*h**2 - 9*h + 26. Let v(o) = 2*o**2 - 6*o + 25. Determine 4*c(a) - 5*v(a).
-2*a**2 - 6*a - 21
Let z(g) = 2*g. Let n(y) = 1. Let a = -7286 + 7288. What is a*n(j