. Let t(y) = -1. Let i(j) = -4*j + 9. Let c(g) = q*t(g) + i(g). Let v(o) = o - 2. What is 6*c(w) + 21*v(w)?
-3*w
Let c = 49 + -49. Suppose -4*r + 0*i + i = 12, c = -r + 2*i - 3. Let y(n) = 1 + 2*n + 0*n + 2 + 2*n**2. Let d(w) = -2*w**2 - w - 2. Determine r*d(z) - 2*y(z).
2*z**2 - z
Let b(k) = -k + 0 + 3 - 2. Let q(p) be the second derivative of -2*p + 1/2*p**2 - 12. What is -b(h) + q(h)?
h
Let q(v) = -v**3 - v**2 + 12*v - 2. Let f(z) = -11*z + 2. Calculate -3*f(u) - 2*q(u).
2*u**3 + 2*u**2 + 9*u - 2
Let z(d) = -14*d**2 - 6*d. Let k(r) be the first derivative of -29*r**3/3 - 13*r**2/2 - 106. What is 6*k(s) - 13*z(s)?
8*s**2
Suppose 3*d - 1 = 17. Let p(o) be the first derivative of -4 - 3*o**2 - 2*o**3 + 2 + 0*o**3. Let t(c) = 7*c**2 + 7*c. Calculate d*p(s) + 5*t(s).
-s**2 - s
Suppose 0 = 3*d - 4*d - 4*p + 11, -5*p - 16 = -3*d. Suppose 4*i = -13 - d. Let o(q) = -9*q**2 + 5*q. Let t(a) = 8*a**2 - 4*a. Determine i*t(h) - 4*o(h).
-4*h**2
Let b(r) = -2*r**2 + r. Let l(p) = -10*p**2 + 5*p - 106. Determine -6*b(g) + l(g).
2*g**2 - g - 106
Let k(v) = -v + 4. Let u(h) = 198*h - 10. What is 2*k(s) + u(s)?
196*s - 2
Let z(n) = 48*n**3 + 2*n**2 - 7*n. Let i(q) = 44*q**3 + 2*q**2 - 6*q. Determine -5*i(o) + 4*z(o).
-28*o**3 - 2*o**2 + 2*o
Let f(q) = 26*q - 10. Let h(v) = -52*v + 22. What is 13*f(m) + 6*h(m)?
26*m + 2
Let w(b) = b - 15 + 7 + 8. Let i(z) be the third derivative of z**4/24 + z**2. Calculate 4*i(g) - 6*w(g).
-2*g
Let d = 78 - 72. Let p be (4/d)/(20/(-18) + 1). Let c(k) = -k**3 + k + 1. Let n(g) = 8*g**3 + 2*g**2 - 6*g - 8. Give p*c(y) - n(y).
-2*y**3 - 2*y**2 + 2
Let n(a) = -2*a - 4. Let j(w) be the first derivative of w + 6. Suppose 5*c = 3*c - 6. Let g be c/4 - (-8)/(-32). Determine g*n(f) - 4*j(f).
2*f
Let v = 620 + -614. Let l(z) = 4*z**2 - 9*z + 7. Let p(m) = -m**2 + m - 1. Give v*p(a) + l(a).
-2*a**2 - 3*a + 1
Let b(v) = v**2 - 12*v + 16. Let y be b(10). Let n(o) = -1. Let j(f) be the first derivative of -f**2/2 - 4*f - 1. Give y*n(m) + j(m).
-m
Let v(m) = -2*m**3 + 14*m - 2. Let a(j) = -2*j**3 - j**2 + 13*j - 3. Give 2*a(d) - 3*v(d).
2*d**3 - 2*d**2 - 16*d
Let q(i) = -4*i + 1. Let z(j) = -j + 1238 - 1238. Give -q(t) + 2*z(t).
2*t - 1
Let o(j) be the second derivative of 5*j**3/6 - 3*j**2/2 + 99*j - 43. Let y(q) = 10*q - 5. Let h be 22/(-4) + (-2)/(-4). Calculate h*o(g) + 3*y(g).
5*g
Let v(u) = 5*u**2 + 6*u - 9. Let w(m) = -13*m**2 - 12*m + 19. Calculate -5*v(o) - 2*w(o).
o**2 - 6*o + 7
Let u(r) = -4*r**3 - 4*r**2 - 6*r. Let w(f) = 3*f**3 + 5*f**2 + 5*f. Let t(l) = l**2 - 7*l - 39. Let k be t(-4). Determine k*w(v) + 4*u(v).
-v**3 + 9*v**2 + v
Let k(p) be the second derivative of -p**4/12 - p**3/6 + p**2/2 - 87*p. Let z(x) = 5*x**3 + 3*x**2 + 5*x - 2. Calculate -3*k(t) - z(t).
-5*t**3 - 2*t - 1
Let g(n) = -25*n + 33. Let v(p) = 6*p - 8. Give -2*g(i) - 9*v(i).
-4*i + 6
Let s(a) = -4*a + 2*a + 3*a. Let x(d) = d. Let m be x(-1). Let r(h) = -26*h + 73. Let g(t) = -8*t + 22. Let q(k) = 10*g(k) - 3*r(k). Calculate m*q(b) - s(b).
b - 1
Let j(b) be the first derivative of -2*b**3/3 - 3*b**2/2 - 13*b - 245. Let f(l) = 10*l**2 + 16*l + 66. Calculate -3*f(s) - 16*j(s).
2*s**2 + 10
Let x(y) = -y**2 + 164*y - 6. Let i(c) = -2*c**2 + 491*c - 16. Determine -3*i(l) + 8*x(l).
-2*l**2 - 161*l
Let g(a) = 134*a**3 - 4*a**2 - 2*a - 2. Let w(v) = -268*v**3 + 9*v**2 + 5*v + 5. What is 5*g(t) + 2*w(t)?
134*t**3 - 2*t**2
Let d(c) = -7*c + 4. Let k(i) be the third derivative of -5*i**4/8 + 7*i**3/6 + 150*i**2 + 1. Give -7*d(b) + 4*k(b).
-11*b
Let s(h) = 6*h + 3 - 2*h + 3 + 2*h. Let a = -27 - -17. Let x be 23/(-5) + 4/a. Let c(y) = -y - 1. Determine x*c(i) - s(i).
-i - 1
Let t(h) = -9 + 0*h**2 + 4*h**2 + 2 + h**2. Let b(q) = 11*q**2 - q - 15. Let r(s) = 3*b(s) - 7*t(s). Let p(j) = 6*j**2 + 8*j - 11. Give -3*p(d) - 8*r(d).
-2*d**2 + 1
Let g(u) = 7*u - 9. Let q = -15 - -17. Let h(c) = c**2 - 3*c - c**2 + 5 - c**2. Let i be h(q). Let n(k) = -11*k + 14. What is i*n(l) - 8*g(l)?
-l + 2
Let j(y) = y - 5. Let g(i) = 7. Let f(w) = -10. Let t(p) = -5*f(p) - 7*g(p). Suppose 0 = -2*q - 2*h - 6, 4*h = 5*q + h - 1. Calculate q*j(d) - 5*t(d).
-d
Let d(r) = -15*r - 9. Let n(w) = w**2 + 5*w + 5. Let u be n(-4). Let h be -3*(-4 - -5) - u. Let p(s) = 7*s + 0 + 1 + 3. Determine h*d(m) - 9*p(m).
-3*m
Let c(p) = p**3 + p + 1. Let s(q) = -2*q**3 + 2*q**2 + 3*q. Calculate 3*c(b) - s(b).
5*b**3 - 2*b**2 + 3
Let p(f) = f**3 - 3*f**2 + 19*f - 3. Let h(d) = -6*d**3 + 16*d**2 - 96*d + 16. Determine 3*h(n) + 16*p(n).
-2*n**3 + 16*n
Let i(q) = -3*q**2 - 6. Let y(g) be the third derivative of -1/10*g**5 + 10*g**2 - 11/6*g**3 + 0*g + 0 + 0*g**4. What is 11*i(d) - 6*y(d)?
3*d**2
Suppose -2*b + l + 4*l = -102, -5*b + 4*l = -221. Let q = 45 - b. Let m(o) = -3*o + 1. Let x(y) = -2*y. Give q*x(w) - 2*m(w).
-2*w - 2
Let i(k) = -5*k + 2. Let h(m) = 30*m - 13. What is 6*h(j) + 34*i(j)?
10*j - 10
Let v(m) = -m**3 - m + 1. Let r(k) = -5*k**3 + 5*k**2 - 5*k + 9. Give -r(p) + 6*v(p).
-p**3 - 5*p**2 - p - 3
Suppose -26*y + 34*y - 24 = 0. Let p(b) = 5*b**3 - 8*b**2 + 2*b + 4. Let m(n) = -4*n**3 + 7*n**2 - n - 3. Give y*p(h) + 4*m(h).
-h**3 + 4*h**2 + 2*h
Let n(z) = 2*z + 2. Let s = 48 + -81. Let t = 34 + s. Let f(h) be the first derivative of h**4/4 + h**3/3 - h - 2. Calculate t*n(m) + 2*f(m).
2*m**3 + 2*m**2 + 2*m
Let z(o) = -12*o**2 + 37*o + 3. Let f(y) = -5*y**2 + 19*y + 2. What is 5*f(u) - 2*z(u)?
-u**2 + 21*u + 4
Let n(z) = -7*z**2 + 3*z - 71. Let o(f) = 12*f**2 - 5*f + 142. Calculate 5*n(u) + 3*o(u).
u**2 + 71
Suppose -2*h + 10 = i - 6*h, h + 8 = 3*i. Let r(f) = -1 + 2*f - f**i + 5 - 2 + 1. Let n(d) = -1. Determine -n(u) - r(u).
u**2 - 2*u - 2
Let g(l) = 23*l - 4. Let p(q) = 24*q - 5. What is 4*g(z) - 3*p(z)?
20*z - 1
Let i(a) = 6*a**3 + 5*a**2 + 5*a. Suppose -423 = -43*u - 1326. Let m(t) = 24*t**3 + 21*t**2 + 21*t. Give u*i(o) + 5*m(o).
-6*o**3
Let d(b) = 2485 - b**3 + b**2 - 2486 - b + 0*b. Let z(q) = 13*q**3 - 6*q**2 + 6*q + 6. Calculate -6*d(n) - z(n).
-7*n**3
Let x(h) = -h**2 - 3*h + 3. Suppose 4*z - 25 = -5*a, -5*z - 7*a + 12*a = 25. Suppose z = 15*g - 10 - 20. Let k(f) = f**2 - f + 1. Give g*k(y) - x(y).
3*y**2 + y - 1
Let b(p) = -5*p + 7. Suppose -2*h + 3*a = a - 22, 23 = 5*h + 3*a. Let v(t) be the first derivative of -9 - 3/2*t**2 + 4*t. Determine h*v(j) - 4*b(j).
-j
Let l(i) = -12*i + 281. Let k(t) = -3*t + 94. Calculate 7*k(n) - 2*l(n).
3*n + 96
Let k(b) = 134*b**3 - 19*b**2 - 11*b + 11. Let v(q) = 67*q**3 - 10*q**2 - 6*q + 6. Determine 6*k(f) - 11*v(f).
67*f**3 - 4*f**2
Let p(l) = l**3 - 5*l**2 + 9*l - 26. Let x be p(4). Let f(b) = 7*b**3 + 2*b**2 + 5*b - 6. Let i(d) = 6*d**3 + 2*d**2 + 4*d - 5. Give x*i(g) + 5*f(g).
-g**3 - 2*g**2 + g
Let j(t) = t**2 - 5*t + 5. Let b(d) = -57*d - 1 - 64*d - 56*d + 178*d. Calculate 10*b(u) + 2*j(u).
2*u**2
Let n(u) = 3 + u**2 + u**2 - 6*u**2 + 5*u**2. Suppose -f + 17 = -4*k, 2*f = -2*k - 11 + 5. Let z(s) = -1. Calculate f*n(b) + 6*z(b).
b**2 - 3
Let y(r) = -13*r**3 + 5*r**2 + 5*r + 5. Let c(n) be the second derivative of -n**5 + 2*n**4/3 + 4*n**3/3 + 4*n**2 + 35*n + 1. Give 5*c(u) - 8*y(u).
4*u**3
Let f(h) be the second derivative of 13*h**3/6 + 5*h**2/2 - 2*h + 11. Let q(d) = -7*d - 3. Let z = 0 + 3. Give z*f(m) + 5*q(m).
4*m
Let r(f) = -3*f. Let n(b) = 3*b - 4. Let w(l) = 8*l - 10. Let a(t) = -5*n(t) + 2*w(t). Calculate 9*a(i) + 2*r(i).
3*i
Let v(x) = -3*x**2 - 1. Let t(n) = -7*n**2 - n - 2. Suppose 5*h = -5*j + 16 - 51, -16 = -2*j + 4*h. Give j*t(y) + 5*v(y).
-y**2 + 2*y - 1
Let u(a) = -a**3 + a**2 - a. Let j(x) = -11*x**3 + 8*x**2 - 8*x. Calculate 2*j(r) - 14*u(r).
-8*r**3 + 2*r**2 - 2*r
Let g(d) = d. Let l(h) = -3*h + 9. Let c(r) = 10*r - 31. Let j(f) = -2*c(f) - 7*l(f). Let u = 3 - 4. Calculate u*j(m) + 4*g(m).
3*m + 1
Let h(i) = -9*i - 215. Let c(k) = 31*k + 646. Calculate 2*c(f) + 7*h(f).
-f - 213
Let l(c) = -10*c**3 + 3*c**2 + 3. Let j(v) = v**3. Let b = 93 + -94. Let i(y) = b*l(y) - 6*j(y). Let s(w) = -3*w**3 + 2*w**2 + 2. Calculate 4*i(a) + 6*s(a).
-2*a**3
Let q(d) = -68*d**3 - 3*d - 11. Let j(y) = 66*y**3 + 4*y + 13. Give 5*j(a) + 6*q(a).
-78*a**3 + 2*a - 1
Let d(c) = 2*c + 139. Let q(b) = 5*b + 413. Calculate -8*d(a) + 3*q(a).
-a + 127
Let l(c) = c**3 - 4*c**2 + 6*c + 2. Let p(m) = 2*m**3 - 5*m**2 + 7*m + 3. Determine -3*l(f) + 2*p(f).
f**3 + 