 1950*u + 13. Let b(j) = -650*j - 4. Determine 13*b(m) + 4*d(m).
-650*m
Let z(o) = o**3 - o**2 + o. Suppose 0 = 4*l - 9*l + 5. Suppose -l = -2*t + 3. Let d(j) = -2*j + 3*j**2 - j**t + 0*j**3 + 0*j**3 - 5*j**3. Give d(c) + 3*z(c).
-2*c**3 - c**2 + c
Let m(z) = -4*z - 73. Let j(a) = 5*a + 75. Determine -5*j(n) - 6*m(n).
-n + 63
Let g(w) = -3*w**3 + w**2 + w. Let k(x) = 19*x**3 + 9*x**2 - 6*x - 4. Calculate 6*g(j) + k(j).
j**3 + 15*j**2 - 4
Let p(x) = 78*x**3 + 54*x - 90. Let a(c) = -6*c**3 - 4*c + 7. Calculate -27*a(w) - 2*p(w).
6*w**3 - 9
Let h(x) = -x. Let b be 8/12 + 20/6. Suppose 5*a + 4 = -3*j, 7 = j + 4*a + 20. Suppose -6*t - 2 = -j*t. Let u(v) = -v**2 + 2*v. What is b*h(i) + t*u(i)?
-2*i**2
Let l(f) = -30772*f - 785. Let u(w) = 157*w + 4. Give 4*l(j) + 785*u(j).
157*j
Let m(a) = a**2 - a + 1. Let l(z) = 5*z**2 - 5*z + 5. Let k(r) = -l(r) + 6*m(r). Let v(s) = 14*s**2 - 7*s + 7. Determine -7*k(o) + v(o).
7*o**2
Let l(o) = -o**2 + o. Let s(y) = -y. Let x(f) = -l(f) - s(f). Let c(a) = 8*a**2. Give c(r) - x(r).
7*r**2
Let m(z) = -22*z**2 + 3*z - 4. Let n(h) = 22*h**2 - 2*h + 3. Calculate 4*m(r) + 5*n(r).
22*r**2 + 2*r - 1
Let v(p) = 16*p**3 - 7*p**2 - 7*p + 7. Let g(n) = 2*n**3 - n**2 - n. Calculate -14*g(b) + 2*v(b).
4*b**3 + 14
Suppose -160 = 7*m + 113. Let t(b) = -2*b - 2. Let z(o) = 12*o + 13. Determine m*t(w) - 6*z(w).
6*w
Let q(z) = 164*z - 1. Let i(o) = -o - 1. Determine i(v) - q(v).
-165*v
Let u(k) = 4*k**3 - 7*k + 7. Let f(s) = -7*s - s**3 - 2 + 0*s + 0 + 9*s. Let j = -20 + 18. Give j*u(g) - 7*f(g).
-g**3
Suppose -13 = -6*y + 23. Let r(f) be the second derivative of 3/2*f**2 + 0 - 1/6*f**3 + y*f + 1/6*f**4. Let d(n) = -n + 1. Give 2*d(b) - r(b).
-2*b**2 - b - 1
Let b(z) = 71*z**2 - 4*z + 3. Let t(d) = -142*d**2 + 8*d - 5. Give -5*b(y) - 3*t(y).
71*y**2 - 4*y
Let y = 268 + -274. Let z(l) = l + 1. Let t(r) = 4 + 10*r - 5*r - 4*r. Calculate y*z(s) + 2*t(s).
-4*s + 2
Let y(j) = 7*j - 14. Let g(x) = -9*x + 13. Determine 2*g(f) + 3*y(f).
3*f - 16
Let k(i) = -8*i. Let l(y) = 4094*y. Determine -534*k(r) - l(r).
178*r
Let s(r) = 3*r + 5. Let y(t) be the first derivative of t**2/2 - t + 7. Give s(n) + 5*y(n).
8*n
Let w(h) = 3*h + 110. Let k be w(-38). Let g(a) = -a**3 - 4*a**2 + 4*a - 1. Let x(j) = -j**3 - 5*j**2 + 5*j - 1. What is k*x(f) + 5*g(f)?
-f**3 - 1
Suppose 2*n + 126 = -19*n. Let m(r) = -r**2 - 3*r + 3. Let y(g) = 2*g**2 + 4*g - 4. What is n*m(q) - 4*y(q)?
-2*q**2 + 2*q - 2
Let f(m) = -5*m**3 + 2*m**2. Let p = 23 + -26. Suppose 3*g + 5 - 13 = 2*d, -4*d - 8 = -4*g. Let h(q) = -4 - d*q**2 + 4 + 4*q**3. Determine p*f(i) - 4*h(i).
-i**3 + 2*i**2
Let y(h) = 12*h - 199. Let q(m) = -6*m + 101. What is -5*q(z) - 2*y(z)?
6*z - 107
Let c(i) be the first derivative of -5*i**3/3 + 7*i**2/2 + 6*i - 835. Let y(w) = 9*w**2 - 13*w - 11. Give 7*c(l) + 4*y(l).
l**2 - 3*l - 2
Let o(m) = m**2 - 3*m + 32. Let i(d) = -2*d + 15. Determine -5*i(h) + 3*o(h).
3*h**2 + h + 21
Let s(y) = 2*y + 5. Suppose -2*d - n + 11 = 0, 7*n = 4*d + 6*n - 25. Let v(f) = 2*f + 4. Give d*s(x) - 7*v(x).
-2*x + 2
Let n(w) = -240*w - 241*w + 2 + 485*w. Let q(h) be the second derivative of h**3/2 + h**2 + 8*h. Determine 6*n(f) - 7*q(f).
3*f - 2
Let m(c) = 20*c**2 - 34*c + 4. Let y(t) = 9*t**2 - 15*t + 2. Calculate 3*m(s) - 7*y(s).
-3*s**2 + 3*s - 2
Let m(l) be the third derivative of l**6/120 + l**5/30 - l**3/3 - 76*l**2 - 2. Let j(z) = 6*z**3 + 15*z**2 - 15. Calculate -4*j(t) + 30*m(t).
6*t**3
Let x(t) = -2*t - 2. Let v(r) = r**3 - 3*r**2 - 7*r - 11. Let p be v(5). Let q(n) = -2*n - 3. Determine p*q(b) - 5*x(b).
2*b - 2
Let c = -1 - -1. Suppose -5*l + 2*l - 3 = c. Let s(n) = 5*n - 4. Let v(y) = 1. Give l*s(g) - 4*v(g).
-5*g
Let g(y) = -16*y**3 + 7*y**2 - 7*y - 7. Suppose 19 = -2*n + 25. Let u(h) = 8*h**3 - 3*h**2 + 3*h + 3. Determine n*g(q) + 7*u(q).
8*q**3
Let m(g) = -8*g + g**2 + 3*g**2 + 0*g - 8. Let y(r) = 20*r**2 - 6*r + 12. Let q(c) = -9*c**2 + 3*c - 5. Let n(s) = 9*q(s) + 4*y(s). What is 3*m(p) + 8*n(p)?
4*p**2
Let n be 4/3*75/20. Let i(f) = -3*f - 3. Let o(w) = -2*w - 2. Calculate n*i(h) - 7*o(h).
-h - 1
Let d(z) = -2*z - 1. Let u(p) = 8*p + 3. Suppose -5*o + 9 = 2*r + r, 2*r - 4*o - 6 = 0. Suppose -4*i = 4*a + 28, r*a + 35 = -5*i - 4. What is i*d(n) - 2*u(n)?
2*n + 3
Let x(p) = -10*p**2 - 8*p. Let j(t) = -t**2 - t. Let l be (2/(-4))/((-3)/12). Let b(u) = -3 - 11 + l - u. Let k be b(-11). Give k*x(z) + 8*j(z).
2*z**2
Let a(j) = 2*j - 4*j - 3 - 2*j. Let f(z) = 5*z**2 - z. Let q be f(1). Suppose -t - 1 = -q. Let m(w) = -3*w - 2. Give t*m(s) - 2*a(s).
-s
Let g(f) = -3 + 2 + 2*f - 2*f**2 - 6*f + 7*f. Let h(c) = c**2 + 8 + 1 - 8 - 2*c. What is 3*g(r) + 4*h(r)?
-2*r**2 + r + 1
Let p(v) = -18*v + 14. Let f = -2424 - -2420. Let z(g) = g - 1. Determine f*p(l) - 56*z(l).
16*l
Let j = 1171 - 1150. Let m(u) = -u. Let s(f) = f - 2. Let i(p) = 6*m(p) + s(p). Let c = -3 - -5. Let a(w) = 51*w + 21. Determine c*a(v) + j*i(v).
-3*v
Suppose 5*q - 5 = 5. Let r(a) be the first derivative of -3/4*a**4 + 0*a + 7 + 9/2*a**2 - 5/3*a**3. Let d(o) = -o**3 - 2*o**2 + 4*o. Determine q*r(f) - 5*d(f).
-f**3 - 2*f
Let m(v) = -v**3 - 4*v**2 + 8*v - 5. Let i(q) = -2*q**3 - q**2 - q - 1. Give -i(x) + m(x).
x**3 - 3*x**2 + 9*x - 4
Let b = -979 + 976. Let y(p) = -p**2 + p + 4. Let c(d) = d**2 - 3. What is b*c(r) - 2*y(r)?
-r**2 - 2*r + 1
Let y(j) = -6*j. Let v(p) = p. Let t(n) = 6*n. Let l(f) = -t(f) + 12*v(f). Suppose 37*w + 124 = 68*w. What is w*y(k) + 5*l(k)?
6*k
Let c(y) = -6*y**2 - 7*y + 18. Let l(n) = 5*n**2 + 6*n - 19. Calculate -6*c(f) - 7*l(f).
f**2 + 25
Let k(m) = -21*m**3 + 25*m**2 - 11*m. Let d(r) = 4*r**3 - 5*r**2 + 2*r. Suppose -3*o + 24 = 4*u + 37, -2*o = 5*u - 3. Let g be -4*(2/2)/2. Give g*k(n) + o*d(n).
-2*n**3 + 5*n**2
Let g(k) = 2. Let r(p) = p + 2*p - 5 - 2*p. Let l(c) = -c**3 + c**2 + 2*c + 2. Let j(z) = z**2 - 3*z + 2. Let x be j(2). Let v be l(x). What is v*r(m) + 5*g(m)?
2*m
Let r(h) = 4*h**2 - h - 1. Let z(g) = 7*g**3 - 30*g**2 + 4*g + 13. Let j(p) = 6*r(p) + z(p). Let t(y) = 15*y**3 - 13*y**2 - 4*y + 15. What is 13*j(v) - 6*t(v)?
v**3 - 2*v + 1
Let x(g) = -g**2 + 1. Let u(a) = 3*a**3 + 6*a**2 + 7*a - 5. Determine u(p) + 6*x(p).
3*p**3 + 7*p + 1
Let l(j) be the second derivative of j**5/20 + j**4/12 + j**3/6 + 7*j - 21. Let m(p) = -8*p**3 - 4*p**2 - 3*p. Calculate 6*l(c) + m(c).
-2*c**3 + 2*c**2 + 3*c
Let d(g) = -119*g**3 - g**2 - 4*g + 5. Let r(t) = 59*t**3 + t - 2. Determine 2*d(u) + 5*r(u).
57*u**3 - 2*u**2 - 3*u
Let y(s) = s**2 - 1. Let k(a) = -5*a**2 - a + 5. Suppose 885 - 889 = -4*o. Determine o*k(g) + 3*y(g).
-2*g**2 - g + 2
Let l(m) = m**2 - m - 2. Let j(g) = 4*g**2 - 4*g - 26. Determine j(h) - 5*l(h).
-h**2 + h - 16
Let v(w) = -w**3 + 7*w**2 - 13*w - 2. Let z be v(4). Let n(d) = -15*d**3 + 6*d**2 + 6*d - 8. Let o(k) = 16*k**3 - 7*k**2 - 7*k + 9. Give z*o(g) - 7*n(g).
9*g**3 + 2
Let b = -62 - -69. Let y(f) = -5*f**2 + 2*f + 7. Let r(s) = 2*s**2 - s - 3. Determine b*r(x) + 3*y(x).
-x**2 - x
Let y(d) = 3*d - 1. Let q(c) = 16*c - 6. Let v(n) = n**3 - 17*n**2 + 19*n - 37. Suppose 2*b = 2*k + 40, -b - 5*k - 2 = 2. Let z be v(b). Give z*y(g) - 2*q(g).
g + 1
Let h(k) = 9*k**3. Suppose 3*x = 0, -2*r + 3 = -2*x - 5. Let b(j) = -r*j**3 + 2*j**3 + 0*j**3 - 3*j**3. Let z = 9 - -2. Determine z*b(u) + 6*h(u).
-u**3
Let r(t) = -26*t**3 + 13*t**2 - 13*t + 13. Let x(y) = -y**3 - y**2 + y - 1. Give -2*r(l) - 26*x(l).
78*l**3
Let u(m) = -19*m**2 + 6*m. Let b be ((-187)/(-136))/((-5)/(-40)). Let x(n) = 37*n**2 - 11*n. What is b*u(a) + 6*x(a)?
13*a**2
Let g(r) = -54*r**3 - 1. Let p(z) = -z**3 - 1. Give -g(m) + p(m).
53*m**3
Let l(h) be the third derivative of h**5/20 + 5*h**4/24 + 5*h**3/6 + h**2. Let r(y) = 4*y**2 + 7*y + 7. Suppose -4*i + 7 = -5*i. Determine i*l(o) + 5*r(o).
-o**2
Let p(g) = 2*g + 8. Let q(u) = -9*u - 32. Let c(o) = 12*p(o) + 3*q(o). Let t(n) = n. Let a(x) = x. Let i(d) = 4*a(d) - 3*t(d). Give -4*c(b) - 9*i(b).
3*b
Let w(j) = 5*j - 2. Let u(a) = 26*a - 11. Let o(t) = 2*t**2 - t - 4. Suppose -22 = -4*z - 2*f - 3*f, 3*z + 3*f - 15 = 0. Let y be o(z). What is y*w(n) - 2*u(n)?
3*n
Let h(x) = -x**3 - 4*x**2 - 4*x. Suppose -3*u + 117 = -5*r + 114, -3*r + 7 = -4*u. Let d(t) = t - 2*t - t**3 + 0*t**2 - t**2. Determine u*d(f) + h(f).
3*f**3
Let c(p) = p**2 - 2*p. Let l(f) = -7*f**2 +