What is 3*k(j) + 4*z(j)?
-j
Let c(l) = 25*l - 3. Let k(s) = 46*s - 6. Let m(p) = 11*c(p) - 6*k(p). Let y(r) = 2*r - 4. Determine -4*m(g) - 3*y(g).
-2*g
Let m(c) = -3*c**3 - 2*c**2 + 4*c + 6. Suppose 0 = 3*j + 5*u + 2, -17*j = -16*j + 4*u + 3. Let a(f) = -f**3 + f + 1. Calculate j*m(q) - 6*a(q).
3*q**3 - 2*q**2 - 2*q
Let z(c) = c**2 + 1. Let d(q) = -q**3 - 11*q**2 - 11. Let i(f) = -26*f + 9. Let w be i(-11). Suppose 0 = -9*o - w + 97. Determine o*z(r) - 2*d(r).
2*r**3
Suppose 155*k = 153*k - 10. Let b(w) = 3*w + 9. Let h(q) = 4*q + 14. Determine k*h(g) + 8*b(g).
4*g + 2
Let v = -11 + 6. Suppose -4*u - 6*x + 12 = -2*x, -6 = -2*u + 3*x. Let t(y) = 20 + u*y - 3*y + 5*y - 23. Let r(d) = -3*d + 2. Give v*t(a) - 8*r(a).
-a - 1
Let r = 1 - 3. Let k(l) = -3*l**2 + 2*l + 3. Let c(m) = 2*m + 4 - 1 - 4*m**2 + 1. Let g be (-1 - 14)*(-15)/75. Give g*k(v) + r*c(v).
-v**2 + 2*v + 1
Suppose -3*w = 4*g - 3 - 6, -5*w + 47 = -4*g. Let c(j) = -6*j**2 - 8*j**2 + 16*j**2 - 5*j**2 + w*j. Let u = 0 + 2. Let v(b) = -b**2 + 2*b. Give u*c(p) - 7*v(p).
p**2
Let u(a) be the first derivative of -3*a**2 + a - 14. Let o = 11 + -8. Let v(y) be the first derivative of 11*y**2/2 - y - 5. Determine o*v(s) + 5*u(s).
3*s + 2
Let i(l) = 1. Suppose 4*u = -u. Let y(c) = 1 - 3*c + u*c + 4*c. Let z(o) = 3*o**2 - 2*o + 2. Let b be z(1). Determine b*y(w) - i(w).
3*w + 2
Let k(p) = p**2 + 2*p - 2. Let d(o) = -o**3 - o**2 - o + 1. Let s = -292 - -293. Calculate s*d(b) + k(b).
-b**3 + b - 1
Let q(l) = -123*l + 24. Let g(y) = -61*y + 10. Give -5*g(m) + 2*q(m).
59*m - 2
Let r(y) be the third derivative of y**3/6 + 9*y**2 + 23*y. Let h(t) = -t + 3. Determine h(f) + 6*r(f).
-f + 9
Let j(d) = 7*d**3 + 2*d**2 - 3*d. Let i(h) = -13*h**3 - 5*h**2 + 6*h. Let l(r) = 3*i(r) + 5*j(r). Let u(k) = -2*k**3 - 3*k**2 + 2*k. Calculate -3*l(s) + 5*u(s).
2*s**3 + s
Let d(f) = f + 2. Let q(y) = 4*y - 34. Give 5*d(o) - q(o).
o + 44
Let s(z) = -3. Let d(y) = 2*y**2 + 14*y - 3. Let a be d(-7). Let h(b) = -25 + b - 26 - 28 + 83. Determine a*h(l) - 4*s(l).
-3*l
Let a(h) = h**2 + 2. Let j(m) = -2*m**2 + 81*m - 6. Determine -3*a(b) - j(b).
-b**2 - 81*b
Let k(c) = -c - 5. Let v(o) = o + 34. Give 2*k(i) + v(i).
-i + 24
Let q(i) = 3*i**2 - 2. Suppose -4*c = -0*c - v - 16, 3*v - 37 = -5*c. Suppose w + c = 16. Let g(y) = -1 + 5*y**2 + w*y**2 - 10. Calculate -2*g(p) + 11*q(p).
p**2
Suppose -10*j + 4*j = 24. Let x(y) = -23*y**3 + 11*y**2 - 11. Let p(v) = -8*v**3 + 4*v**2 - 4. Determine j*x(i) + 11*p(i).
4*i**3
Let m(p) = -2*p**2 + 2. Let x(l) = 5*l**3 - 11*l**2 + 3*l + 5. Let t(c) = 4*m(c) - x(c). Let j(b) = 4*b**3 - 2*b**2 + 2*b - 2. Give 3*j(i) + 2*t(i).
2*i**3
Let f(x) = x. Let n(y) be the second derivative of -23*y**3/6 + 2*y - 548. Give 4*f(g) + n(g).
-19*g
Let s(d) = d + 1. Suppose 0 = -0*r + 4*r. Let j = -4 + r. Let w = -3 + j. Let o(p) = 3*p + 2. What is w*s(f) + 3*o(f)?
2*f - 1
Suppose -3*g = -7 + 1, -5*g + 46 = 4*c. Let j(h) = -h - 17. Let y(f) = -1 + 0 + 5. What is c*y(d) + 2*j(d)?
-2*d + 2
Let o(z) = -9*z - 3. Let u(d) be the second derivative of -14*d**3/3 - 5*d**2 - 208*d. Give 16*o(m) - 5*u(m).
-4*m + 2
Let w(m) = 5*m - 19. Let l(c) = -c + 2. Determine 4*l(n) + w(n).
n - 11
Let t(v) = 36*v + 15. Let w(r) = 18*r + 7. Determine -6*t(y) + 13*w(y).
18*y + 1
Let f(b) = 1. Let z(q) = -q + 6. Let a(l) = -6*f(l) + z(l). Let s(j) = 7*j. Let g = -83 + 81. Give g*s(u) - 10*a(u).
-4*u
Let q(z) = -2*z**2 - 9*z + 66. Let w(y) = -y**2 - 4*y + 31. What is 2*q(m) - 5*w(m)?
m**2 + 2*m - 23
Let s(n) = -49*n**2 + 4*n. Let i(r) = -98*r**2 + 7*r. Determine -3*i(w) + 5*s(w).
49*w**2 - w
Let t = 136 - 118. Let u(s) = s**2 - 1. Let i(r) = 171*r**2 - 201. Let m(o) = 17*o**2 - 20. Let p(z) = 2*i(z) - 21*m(z). Calculate t*u(v) + p(v).
3*v**2
Let l = -11 - -17. Suppose 2*c + 18 = -4*t, 2*c + t + 0 = -l. Let z(i) = i**2 - i + 1. Let f(h) = 2 + 7*h**2 + 17*h - 25*h + 2. Determine c*f(j) + 6*z(j).
-j**2 + 2*j + 2
Let o(g) = -12*g**2 - 4*g. Let a(c) = -3*c**2 - c. Let l be (1 + -3)/((-4)/(-18)). Let k(j) = l*a(j) + 2*o(j). Let r(i) = -5*i**2 - i. Give 7*k(x) + 5*r(x).
-4*x**2 + 2*x
Let z(s) = -2*s**2. Let k(v) = -6*v**2. Let y(p) = -4*p**2 - 25*p + 158. Let h be y(-10). Calculate h*z(w) - 3*k(w).
2*w**2
Let n(m) = m**2 - 2. Let l(k) = -2*k**3 + 331*k**2 + 12. Calculate -l(f) - 6*n(f).
2*f**3 - 337*f**2
Let g(k) = 1383*k**3 + 6*k. Let q(f) = 92659*f**3 + 403*f. Determine -403*g(a) + 6*q(a).
-1395*a**3
Let v(h) = 2*h**2. Let i(n) = 4*n**2 - 2 + 4*n - 5*n + n**3 + 3*n**3 - 3*n**3. Let f be i(-3). Let z(j) = -2 + j**2 + 2. Calculate f*z(u) - 6*v(u).
-2*u**2
Let w(a) = 6*a**3 + 3*a**2 - 4*a - 122. Let r(z) = -5*z**3 - 3*z**2 + 3*z + 120. Calculate -4*r(m) - 3*w(m).
2*m**3 + 3*m**2 - 114
Let z(m) = -14*m**2 + m + 10. Let h(g) = -12*g**2 + 9. Calculate 3*h(v) - 2*z(v).
-8*v**2 - 2*v + 7
Let n(p) = -p**2 + 10*p - 2. Let c(l) = 3*l**2 - 20*l + 5. Let y(b) = -b**2 + 9*b + 225. Let z be y(-11). Calculate z*n(m) + 2*c(m).
m**2 + 10*m
Let k(l) = -5*l - 3. Suppose 3*p + 6 = -32*j + 31*j, 3*p + 18 = 3*j. Let f(a) = 4*a + 2. What is j*k(m) + 4*f(m)?
m - 1
Let f(d) = -d - 5. Let q(w) = 16 - 3*w + 8 + 9 - 42. Determine 9*f(k) - 5*q(k).
6*k
Let d(h) = -2070*h**2 + 33*h**3 + 2073*h**2 + 3 - 10*h**3. Let x(u) = -116*u**3 - 16*u**2 - 16. Determine -16*d(s) - 3*x(s).
-20*s**3
Let f(q) = -14*q**2 + 8. Let n(k) = -k**3 + k**2 - k + 5. Let s be n(0). Let v(w) = -9*w**2 + 5. Let a be -10 - (-2 - 0/(-4)). What is a*v(r) + s*f(r)?
2*r**2
Let d(k) = -k - 1. Let n be (0 - 1/(-2))/((-92)/184). Let l(h) = -3*h + 3. Calculate n*l(s) + 5*d(s).
-2*s - 8
Let t = 335 + -331. Let c(y) = 3*y**2 - 3*y + 2. Let s(l) = -16*l**2 + 16*l - 11. Calculate t*s(m) + 22*c(m).
2*m**2 - 2*m
Let j be (2/(-4))/(9*(-8)/(-144)). Let k be (j*(-1 - 1))/(44/110). Let g(p) = -p + 1. Let v(u) = -2 + 3 - 5 + 4*u. Calculate k*g(a) + v(a).
-a + 1
Let c(t) = t**3 + t - 2. Suppose 8 = -2*d - 0*d. Let i(g) be the second derivative of -g**5/5 - 2*g**3/3 + 9*g**2/2 - 2*g - 39. Determine d*i(p) - 18*c(p).
-2*p**3 - 2*p
Let v(t) = -5*t**2 - 4. Let r(l) = 14*l**2 - l + 11. What is 3*r(o) + 8*v(o)?
2*o**2 - 3*o + 1
Let j(a) = a**2 + 3*a + 1. Let r(i) = i**3 - 5*i**2 - 19*i - 5. Determine 5*j(g) + r(g).
g**3 - 4*g
Let f(j) = -2*j. Let c(v) = -v + 4. Let y(x) = 2*x + 16. Let m(d) = 12*c(d) - 3*y(d). Suppose -3*q = -3*z - 15, 3*z + q + 2 = -1. Calculate z*m(o) + 20*f(o).
-4*o
Let l(r) = -5*r - 181. Let d(m) = -2*m - 61. Determine -11*d(z) + 4*l(z).
2*z - 53
Let d(s) be the third derivative of -s**4/24 + 938*s**2. Let r(c) = -13*c - 2. Give -d(x) - r(x).
14*x + 2
Let c(t) = -246*t**3. Let m(a) = 29*a**3. Let y = 779 - 737. Give y*m(b) + 5*c(b).
-12*b**3
Suppose -15*i + 4267 - 4282 = 0. Let k(x) = 2. Let h(q) = -q. Let o = 6 - 8. Determine i*k(t) + o*h(t).
2*t - 2
Let i(c) = 1. Let k = -82 + 79. Let n(g) = g**3 + 3*g**2 - 2*g - 7. Let f be n(k). Let a(r) = -3*r**2 + 4. Calculate f*a(h) + 4*i(h).
3*h**2
Let q(p) = 1. Let g(i) be the third derivative of 5*i**4/24 + 10*i**3/3 + 58*i**2. Calculate g(w) - 20*q(w).
5*w
Let j = 315 + -167. Let x(f) = -2*f**2 + 0*f**2 + 6*f - 155 + j - 2*f**2. Let i(v) = 3*v**2 - 5*v + 6. What is 5*i(y) + 4*x(y)?
-y**2 - y + 2
Let v(j) = 9*j**3 + 5*j**2 + 5*j. Let s be 55/(-7) - 6*(-2)/(-84). Let a(f) = 14*f**3 + 8*f**2 + 8*f. Calculate s*v(q) + 5*a(q).
-2*q**3
Let v(f) = -f**3 + f**2 - f - 3. Let k(w) = -2*w**3 + w**2 - 2*w - 4. Give 5*k(r) - 6*v(r).
-4*r**3 - r**2 - 4*r - 2
Let v(s) be the third derivative of -s**6/120 + s**5/60 + 2*s**3/3 - 375*s**2. Let a(w) = w**3 - 1. Calculate -2*a(f) - v(f).
-f**3 - f**2 - 2
Let g(b) = 2 + 2*b**2 - 78*b - 77*b - 72*b + 295*b + b**3 - 70*b. Let v(u) = 3*u - u**2 - u**3 - 2*u**2 - 3 + 0*u**2. Give 6*g(f) + 4*v(f).
2*f**3
Let b(a) = -a**3 + 3*a**2 - a + 1. Let q(w) = -16*w**3 + 15*w**2 - 7*w + 4. Determine 5*b(i) - q(i).
11*i**3 + 2*i + 1
Suppose -2*p = -7*p - 45. Let r(b) = 5*b + 9. Let o(w) = -2*w + 3*w + w - 1. Let x(u) = -u + 1. Let h(z) = 3*o(z) + 5*x(z). Calculate p*h(q) + 2*r(q).
q
Let l(f) = -f**3 - 5*f**2 + 9*f - 3. Let v(a) = 2*a**3 + 8*a**2 - 14*a + 5. Let s(t) = t**3 - 7*t**2 - t - 5. Let u be s(0). Determine u*v(g) - 8*l(g).
-2*g**3 - 2*g - 1
Let n(c) = 1 + 5*c**2 + 3 - 1. Let s(b) be the third derivative of -3*b**5/20 - 5*b**3/6 + 876*b**