What is 7*j(x) + 3*s(x)?
3*x**2 + x - 1
Let u(m) = 7*m**3 + 4*m**2 - 3*m + 2. Let s(o) = 20*o**3 + 11*o**2 - 8*o + 6. Determine -4*s(q) + 11*u(q).
-3*q**3 - q - 2
Let g(r) be the first derivative of 3*r**3 - 2*r**2 + 4*r - 5. Let k(q) be the second derivative of -q**4/3 + q**3/3 - q**2 - q. Calculate 2*g(z) + 5*k(z).
-2*z**2 + 2*z - 2
Let h(v) = -2*v - 4. Suppose 0 = 4*f - 13 + 5. Let d(q) = 6*q + 5 + f - 3*q. Suppose -2*b = -5*z + 18 + 13, 5*b + 4*z = 5. What is b*d(r) - 5*h(r)?
r - 1
Let d(m) = 25*m**3 + 9*m**2 + m - 13. Let b(z) be the second derivative of -3*z**5/10 - z**4/6 + 3*z**2/2 + 159*z. Give 9*b(v) + 2*d(v).
-4*v**3 + 2*v + 1
Suppose -33*u + 42*u + 18 = 0. Let l(p) = -6*p - 26. Let v(j) = j + 5. Determine u*l(n) - 11*v(n).
n - 3
Let s(d) = -418*d**3 + 6*d. Let t(u) = 417*u**3 - 4*u. Give -2*s(h) - 3*t(h).
-415*h**3
Let z(o) = -2*o + 5. Let v(x) be the first derivative of 3*x**2/2 - 5*x + 921. What is 4*v(m) + 5*z(m)?
2*m + 5
Let m(g) be the second derivative of g**5/20 - g**4/3 + 3*g**2/2 + 2*g. Let p = -314 + 311. Let q(s) = s**2 - 1. Calculate p*q(v) - m(v).
-v**3 + v**2
Let t(j) = 8*j**2 - 5*j - 5. Let d(w) = 4*w**2 - 4 + 0 + 2 - 2*w. Let x = -33 - -35. Let o be (16 + -8 + 2)/(-2). Determine o*d(l) + x*t(l).
-4*l**2
Let m(j) = j + 7*j**2 - 3*j**2 + 7 + 3*j**2 + j. Let o(f) = -8*f**2 - 2*f - 8. Let r = 200 + -193. Give r*m(y) + 6*o(y).
y**2 + 2*y + 1
Suppose -4*f = -5*m + 61, 5*m + 5*f + 4 - 29 = 0. Let g(z) = -12*z**2 - 4. Let t(v) = 24*v**2 + 9. Calculate m*g(j) + 4*t(j).
-12*j**2
Let k(w) = 4*w**3 - 6. Let t(g) = -9*g**3 + g + 12. Give 7*k(u) + 3*t(u).
u**3 + 3*u - 6
Let p(i) = 120 - 218 + 96. Let g(y) = y. Determine -2*g(s) + p(s).
-2*s - 2
Let m(i) = i**3 + 24*i**2 - 24*i + 34. Let q be m(-25). Let s(a) = 1 + q*a - 7*a - 5*a. Let f(w) = -w. Calculate 6*f(c) - s(c).
-3*c - 1
Let u(c) = -3*c**3 + 3*c**2 - 6*c. Let n be 2*(-26)/16 - 4/(-16). Let p(x) = -x**2 + x. Give n*p(o) - u(o).
3*o**3 + 3*o
Let s(p) = 13*p + 7. Let w(a) = 6*a + 4. Give -3*s(o) + 5*w(o).
-9*o - 1
Suppose 3 = 3*c + 4*z - z, 2*z = 4*c - 34. Let k(g) = g**2 + g - 5. Let u(a) = a**2 + a - 4. Give c*k(l) - 7*u(l).
-l**2 - l - 2
Let w(v) = 22*v. Let o(j) = 11*j + 6. Let p(s) = 13*s + 9. Let g(x) = 3*o(x) - 2*p(x). Give -20*g(r) + 6*w(r).
-8*r
Let i(o) = -o. Let y(r) = 7*r - 1. Let w(h) = h**3 + 32*h**2 + 88*h + 30. Let n be w(-29). Give n*y(s) - 6*i(s).
13*s - 1
Let y(f) = 5*f**2 - 6*f + 8. Let s(k) = -k**2 + 2. What is -3*s(i) - y(i)?
-2*i**2 + 6*i - 14
Let b(l) = -l**3 + 2*l**2 - 1. Let q(d) = -8*d**3 + 12*d**2 + 25*d - 10. Calculate -6*b(v) + q(v).
-2*v**3 + 25*v - 4
Let m(a) be the second derivative of a**4/12 + a**3/6 - a**2/2 + 15*a - 1. Let w(s) = 4*s**2 + 4*s - 5. Suppose -25 = 4*k - 9*k. Give k*m(v) - w(v).
v**2 + v
Let c(z) = 2*z**2 + 17*z + 9. Let l(p) = p**2 + 18*p + 11. Calculate -6*c(b) + 5*l(b).
-7*b**2 - 12*b + 1
Let r(w) = -5*w - 1. Let k(f) = -6*f - 2. Let h(q) = -4*k(q) + 6*r(q). Let n be 7 - (-2)/5*-5. Let s(z) = 3*z - 1. Give n*s(a) + 3*h(a).
-3*a + 1
Let d(i) = -20*i**2 + 6*i + 6. Let s(l) = -19*l**2 + 5*l + 5. Let o = -1238 - -1243. Determine o*d(t) - 6*s(t).
14*t**2
Let i(w) be the third derivative of -w**5/60 - w**4/8 + w**3 - 7*w**2 + 72*w. Let u(z) = 1. What is i(x) - 4*u(x)?
-x**2 - 3*x + 2
Let k(p) = -p - 7 - 3*p + p. Let h(x) = -1 + 5*x + 2 + 3 - 3*x. What is -5*h(w) - 3*k(w)?
-w + 1
Let z(y) = -13*y**2 - 5*y - 2. Suppose -4*m = -2*d - 2*d - 68, 5*d + 4*m + 67 = 0. Let c be (-16 - d)*7/(-1). Let p(a) = 7*a**2 + 3*a + 1. Give c*p(x) + 4*z(x).
-3*x**2 + x - 1
Let k(n) = 2*n - 25. Let d(r) = r**2 - 2. Determine -2*d(v) + k(v).
-2*v**2 + 2*v - 21
Let a(g) = g + 1. Let d(c) = c**3 - 12*c**2 - 11*c - 27. Let s be d(13). Let v(n) = -4*n - 2*n + 3*n + 2*n. Give s*a(p) - 3*v(p).
2*p - 1
Let x(h) = -9*h**3 + 3*h**2 - 5*h + 1. Let v(k) be the first derivative of -k**4 + k**3/3 - k**2 + k + 67. Calculate -5*v(u) + 2*x(u).
2*u**3 + u**2 - 3
Let d(c) = 2*c**2 - 13*c - 5. Let h(u) = -3*u**2 + 19*u + 7. Let n be (-4)/(-1)*(-7)/(-4)*1. Determine n*d(v) + 5*h(v).
-v**2 + 4*v
Let f(l) be the third derivative of -l**4/4 + 2*l**3/3 - 15*l**2. Let h(u) = -u. Suppose -5*i + 19 = 2*b, -5*b + 9 = 3*i - 3*b. Calculate i*h(y) - f(y).
y - 4
Let i(p) = 102*p. Suppose 4*s = 5*n - 45, -11*s + 5*n - 50 = -6*s. Let y(w) = -29*w. Give s*i(m) - 18*y(m).
12*m
Let k(p) = 20*p + 23. Let w(h) = 10*h + 14. Calculate 2*k(y) - 5*w(y).
-10*y - 24
Let w(i) = 7*i**2 + i - 6. Let z(x) = 14*x - 32*x + 18*x - 3 + 3*x**2. Determine -2*w(f) + 5*z(f).
f**2 - 2*f - 3
Let y = 1 + -2. Let b(d) = 1. Let k(j) = -3*j + 3. Let g(o) = -o + 3. Let q be g(0). Suppose q*i - 9 = 6. Calculate i*b(c) + y*k(c).
3*c + 2
Let t(r) = 6*r**3 - 3*r**2 - r + 4. Let u(n) = -5*n**3 + 2*n**2 + 3*n - 3. Calculate -3*t(a) - 4*u(a).
2*a**3 + a**2 - 9*a
Let a(v) = 2*v + v - v - 3*v + 2*v. Let n(j) = -7*j - 5*j**2 - 4 + 3 + 3*j**2. What is -5*a(b) - n(b)?
2*b**2 + 2*b + 1
Let u(m) = -m**2 + 25*m - 3. Let l(d) = 20*d - 3. Let f(g) = -5*l(g) + 4*u(g). Let a(j) = -3*j**2 - j + 2. Give 5*a(s) - 4*f(s).
s**2 - 5*s - 2
Let u(m) = -5*m + 1. Let g(k) = 12*k. Calculate 3*g(w) + 5*u(w).
11*w + 5
Let x(h) = h**3 - h - 1. Suppose 0 = 65*m - 8*m + 57. Let r(o) = 8*o**3 + 13*o**2 - 6*o - 6. What is m*r(s) + 6*x(s)?
-2*s**3 - 13*s**2
Let l(r) = 15*r - 2. Let o(x) be the second derivative of -7/6*x**3 + 1/2*x**2 - 8*x + 0. Let c be (-4)/2 + 2 + -6. Determine c*l(w) - 13*o(w).
w - 1
Suppose 2*v - 14 = 5*u, -3*v + 1 = -3*u - 11. Suppose -198*q = -225*q - 135. Let o(t) = t. Let w(j) = -j**2 - 3*j. Calculate q*o(k) + u*w(k).
2*k**2 + k
Let q(s) = 123*s**2 - 1. Let i(r) = 369*r**2 - 3. Determine -6*i(t) + 17*q(t).
-123*t**2 + 1
Let u(z) = -3*z**2 - 20*z - 11. Let q(b) = -b**3 + 3*b**2 + 7*b - 2. Let s be q(5). Let x(t) = 4 + 11*t**2 - 10*t**2 + 4*t + 3*t. Give s*x(a) - 6*u(a).
a**2 + a - 2
Let r(v) = 138*v + 1. Let b(q) = 140*q. Calculate 3*b(l) - 2*r(l).
144*l - 2
Let q(a) = -a**3 + a**2 + a. Let c(p) = p**3 - p**2 + 1. Let l(r) = 8*r**3 - 5*r**2 - 2*r + 2. Let g(i) = -2*c(i) + l(i). Determine -g(h) - 3*q(h).
-3*h**3 - h
Let a(o) = 5*o**3 + 2*o**2 + 4*o - 7. Let c(x) = -x**3 - x**2 - x + 3. Give a(q) + 3*c(q).
2*q**3 - q**2 + q + 2
Let n(z) = -z**2 + 9. Suppose -1331*h + 1346*h - 45 = 0. Let o(j) = -j**2. What is h*o(k) - n(k)?
-2*k**2 - 9
Let o(c) = c**3 + 5*c**2 + 21. Let q(r) = -r**3 - 5*r**2 - 20. Calculate 6*o(j) + 5*q(j).
j**3 + 5*j**2 + 26
Let k(w) = -11*w + 950. Let h(b) = 4*b - 474. Determine 5*h(o) + 2*k(o).
-2*o - 470
Let n(a) = a**2 + 1. Let l(h) = -8*h**2 - 2*h - 7. Let o be 0*2/(-2) + (-15)/(-5). Suppose -2*s - o = 9. Give s*n(g) - l(g).
2*g**2 + 2*g + 1
Let o(t) = t**2 - 2*t - 3. Let l(h) be the third derivative of h**5/60 - h**3/6 + 41*h**2 - 4. Suppose -3*u = 2*u + 20. Let r = u - -1. Calculate r*l(k) + o(k).
-2*k**2 - 2*k
Let n(c) = c. Let j(o) = o**3 - 2*o + 2. Let l(w) = -w. Let k be l(0). Suppose 8*r - 6*r - 2 = k. What is r*n(m) + j(m)?
m**3 - m + 2
Let i(t) = -t**3 - 6*t**2. Let m(b) = b**3 + 13*b**2 - 16*b - 11. Let r be m(-14). Let c = 12 - r. Let h(y) = y**3 + 7*y**2. Give c*h(q) - 6*i(q).
q**3 + q**2
Let y = -1 - 6. Let i(m) be the first derivative of 5*m**2 - 7*m - 569. Let d(j) = 9*j + 3 - 4 - 5. Give y*d(n) + 6*i(n).
-3*n
Let p(a) = -a**2 + 23. Let h(b) = b**2 + b - 23. Give 2*h(y) + 3*p(y).
-y**2 + 2*y + 23
Let y be (-10)/8*(-1 + 5). Let i(n) = -2*n**3 + 4*n - 3 - 3*n**3 + 4 + 4*n**3 - 5*n. Let p(d) = -4*d**3 - 5*d + 5. What is y*i(f) + p(f)?
f**3
Let f(o) = 2*o + 8. Suppose 13 = 31*d - 49. Let g(m) be the second derivative of 3*m + 0 - 23/2*m**d - m**3. What is 17*f(z) + 6*g(z)?
-2*z - 2
Let m(j) = 41*j - 10. Let q(g) = -14*g + 3. What is -4*m(l) - 14*q(l)?
32*l - 2
Let z(g) be the second derivative of -g**4/12 - g**3/6 - g**2/2 - 2*g - 30. Let s(b) = -5*b**2 - 2. What is s(u) - 2*z(u)?
-3*u**2 + 2*u
Let d(b) = -82433*b**2 + 1119*b - 1119. Let q(z) = -368*z**2 + 5*z - 5. Determine 5*d(j) - 1119*q(j).
-373*j**2
Let d(m) = -6*m + 9. Let a(w) = -2*w + 3. Let t = 76 - 82. What is t*d(r) + 17*a(r)?
2*r - 3
Let b(g) = -g. Let y(i) = 8*i - 3. Let z = 679 - 680. Determine z*y(x) - 6*b(x).
-2*x + 3
Let o(d) = -2*d + 7. Let c(h) = -h**2 - 2*h + 6. Let w(n) = 7*c(n) - 6*o(n). Let s(f) = -11*f**2 - 3*f. What