3
Suppose 4*u + 3 = 5*u. Let t(a) = -a + 1. Let b(o) = 2 - 1 + 3 - 3. Determine u*b(l) - 2*t(l).
2*l + 1
Let b(a) = -a - 184. Let i(c) = -46. Calculate 2*b(l) - 9*i(l).
-2*l + 46
Let d be (-8)/(-3 + -1) + 3. Let v(j) = -10*j**2 - 7*j + 4. Let y(n) = 3 + 2*n**2 - 7*n**2 - 5*n - 2*n**2. Calculate d*v(w) - 7*y(w).
-w**2 - 1
Let q(t) = -11*t**2 + 5*t - 5. Let x(j) = 5*j**2 - 2*j + 2. Give 4*q(c) + 10*x(c).
6*c**2
Let k(b) be the second derivative of b**5/5 + b**4/6 - b**3/6 + 3*b**2/2 + 14*b. Let o(j) = 5*j**3 + 3*j**2 + 4. What is -3*k(c) + 2*o(c)?
-2*c**3 + 3*c - 1
Let r(o) = -7*o - 1 - 4 + 1. Suppose 0 = 7*h - 6*h + 4. Let n(d) be the third derivative of d**4/4 + d**3/2 - 3*d**2. Calculate h*r(y) - 5*n(y).
-2*y + 1
Let n(b) = 6*b + 1. Let c(g) be the first derivative of g - 7 + 1/2*g**2. Determine 4*c(p) - n(p).
-2*p + 3
Let l(a) = -17 - 3*a + 8*a + 3*a. Let w(v) = v - 2. Determine -6*l(s) + 51*w(s).
3*s
Let o(g) = -104*g**3 + 32*g**2 - 32. Let a(v) = 16*v**3 - 5*v**2 + 5. What is -32*a(b) - 5*o(b)?
8*b**3
Let b = 8 + -13. Let u(f) = -2*f**2 - 5*f. Let a(q) = 126 - q - 67 - 59. What is b*a(i) + u(i)?
-2*i**2
Let c be ((-3 - 1) + -2)/2*-15. Let y(d) = 65*d**2 + 45*d. Let h(r) = -3*r**2 - 2*r. Calculate c*h(w) + 2*y(w).
-5*w**2
Suppose 8*n = 3*n - 15. Let c(f) = -4*f**2 - 2*f - 1. Let v(y) = -5*y**2 - 2*y - 2. Calculate n*c(d) + 2*v(d).
2*d**2 + 2*d - 1
Let t(x) = -2*x**2 + 7. Let k(p) = p**2 - 6. Calculate 3*k(h) + 2*t(h).
-h**2 - 4
Let o(g) = g - 2. Let m(a) = -2*a + 6. Let u(q) = 3*m(q) + 8*o(q). Let z(n) = -3*n - 4. Determine -5*u(s) - 3*z(s).
-s + 2
Let h = -402 - -399. Let y(v) be the first derivative of v**4/4 - v**2 - 3*v - 1. Let m(i) = -1. What is h*m(l) + y(l)?
l**3 - 2*l
Let z(j) be the third derivative of -7*j**5/60 + j**4/8 + 5*j**3/6 + 55*j**2. Let m(a) = -8*a**2 + 3*a + 6. Determine -5*m(n) + 6*z(n).
-2*n**2 + 3*n
Let s(h) be the second derivative of h**5/20 + 3*h. Let a be (5 + -2)*6/18. Let n(j) = 3*j**3 - j + 2. Determine a*s(x) - n(x).
-2*x**3 + x - 2
Suppose x + 19 + 3 = 0. Let g(a) = -a**3 + 3*a**2 - 3*a - 3. Let p(v) = -4*v - 11 - 4*v**3 - 9*v + 2*v + 11*v**2. What is x*g(w) + 6*p(w)?
-2*w**3
Let o(r) = 2*r**2 + 1. Let t(s) = -s**2 - 3. Let m(u) = u**2 + 2. Let h(v) = -5*m(v) - 3*t(v). Let x(d) = -d + 1. Let i be x(5). What is i*h(w) - 3*o(w)?
2*w**2 + 1
Let w(p) = p**2 + p - 1. Let m(o) = 10*o**2 - 7 + 0 - 1 + 10*o. Suppose -3*i + i = -16. Calculate i*w(a) - m(a).
-2*a**2 - 2*a
Let f(n) = 3*n + 1. Let l(c) = -5*c - 1. Let b(t) = 8*f(t) + 5*l(t). Let i(q) = q + 8. Let m(s) = -s - 1. Let o(d) = -i(d) - 3*m(d). Calculate 8*b(h) + 5*o(h).
2*h - 1
Let o(j) = 5*j**3 + j**2 - 7. Let u(r) = -r**3 - r**2 + 1. Give o(i) + 6*u(i).
-i**3 - 5*i**2 - 1
Let k(a) = a + 4. Let t(n) = 7. Let o(l) = -5. Let j(d) = -4*o(d) - 3*t(d). Determine 5*j(v) + k(v).
v - 1
Let r(v) = -4*v**3 + 16*v**2 - 3*v. Let q(k) = -3*k**3 + 17*k**2 - 2*k. Determine 3*q(n) - 2*r(n).
-n**3 + 19*n**2
Let w(m) = 2*m**3 + 4*m**2 - 3*m + 4. Let q be (-2)/(-5) + (-39)/(-15). Let u(y) = y**3 + 3*y**2 - 2*y + 3. Calculate q*u(x) - 2*w(x).
-x**3 + x**2 + 1
Let x(r) = -133*r - 5. Let d(f) = -66*f - 3. What is -5*d(p) + 3*x(p)?
-69*p
Let d(f) be the first derivative of -7*f**4/4 - 5*f + 4. Let n be (4 - 4) + -3 + -2. Let m(q) = -q**3 - 1. Calculate n*m(c) + d(c).
-2*c**3
Suppose 7 = -h + 11. Suppose -3 - 18 = 3*l. Let k(c) = 5*c + 5. Let g(n) = 9*n + 9. Determine h*g(b) + l*k(b).
b + 1
Let s(l) = -2*l**3 + 5*l**2 + 3*l - 5. Let i(w) = -w**3 + w**2 + w - 1. What is -5*i(u) + s(u)?
3*u**3 - 2*u
Let h(f) = -19*f**3 + 2*f**2 + 2*f + 2. Let z(s) = 476*s**3 - 51*s**2 - 51*s - 51. Calculate -51*h(a) - 2*z(a).
17*a**3
Let y(x) = -6*x**3 + x**2 - 3*x + 5. Let u(j) = 5*j**3 - j**2 + 2*j - 5. Determine 4*u(n) + 3*y(n).
2*n**3 - n**2 - n - 5
Let w(r) = 5*r**2 - 4*r - 2. Suppose 0 = -4*u - 2*g - 6, g = 5*u - 5 - 5. Let b(a) = -a**2 + a + 1. Give u*w(m) + 4*b(m).
m**2 + 2
Let a(x) = 8*x**2 + 4*x. Let y(m) = 8*m**2 + 3*m. Determine 3*a(k) - 4*y(k).
-8*k**2
Let b(d) = 6*d + 12. Let c(p) = -1. Calculate b(h) + 12*c(h).
6*h
Let k(l) = -1. Let d(i) = -7*i + 7. Let r(q) = d(q) + 7*k(q). Let f(t) = -6*t. Determine -6*f(j) + 5*r(j).
j
Let s(k) = 3*k**2 + 6. Let v(j) = j + 6. Let b be v(-3). Suppose -b*m = 2*w + 3*w + 8, -4*w + m = 20. Let g(l) = l**2 + 2. What is w*s(h) + 11*g(h)?
-h**2 - 2
Let z(f) = -3*f - 2 - 2*f + 2. Let q(h) = 2*h**2 + 13*h + 3. Let m be q(-6). Let l(g) = -4*g - 1. What is m*l(b) + 2*z(b)?
2*b + 3
Let o(q) = 2*q**2 + 3*q + 2. Let b(w) = -3*w - 6. Let c be b(-4). Let x(s) = 0*s**2 + 3*s**2 + 2 + c*s - 2*s. Calculate 4*o(i) - 3*x(i).
-i**2 + 2
Let p = 503 - 505. Let w(l) = -l**2 + 2*l - 1. Let h = 7 - 3. Suppose -5*z - h*o + 3*o = 4, -z + 2*o = 3. Let s(n) = -n. Determine p*s(i) + z*w(i).
i**2 + 1
Let y = -29 - -29. Let u(a) be the third derivative of y - 1/6*a**4 + 4/3*a**3 + 0*a + a**2. Let x(p) = p - 1. Give -u(n) - 6*x(n).
-2*n - 2
Suppose 6*o - 45 = o. Let u = o + -7. Let w(i) = 3*i**3 - 2*i**2 - 4*i - 4. Let h(f) = -10*f**3 + 7*f**2 + 13*f + 13. Give u*h(r) + 7*w(r).
r**3 - 2*r - 2
Let k be -10*(-2 - 3/(-2)). Suppose -2 = b + k. Let s(p) = -1 - 7*p - 6 + 2*p + 3*p. Let x(d) = d + 3. What is b*x(u) - 3*s(u)?
-u
Let j(p) = -4*p**2 - p**2 - 115 + 104 + 10*p**3. Let w(n) = 2*n**3 - n**2 - 2. Suppose 4*z + 17 = 61. Give z*w(i) - 2*j(i).
2*i**3 - i**2
Let m(c) = c - 6. Let j be m(7). Let h(a) = -a**2 - 1. Let y(z) = 1. Calculate j*h(t) + 2*y(t).
-t**2 + 1
Suppose 5 = 2*m + s, -3*m + 3 = 2*s - 3. Let u(q) = 0*q**2 + 2 - 1 - 5*q**2 - q + m*q**2. Let j(d) = -d**3 - 4*d**2 - 4*d + 6. Determine j(y) - 6*u(y).
-y**3 + 2*y**2 + 2*y
Let z(j) = j - 2. Let i(h) = -30 + 58 - 31 + h. What is -4*i(p) + 5*z(p)?
p + 2
Let r(s) = s**3 - 11*s**2 + 11*s - 14. Let k be r(10). Let f(p) = -6*p + 2. Let b(c) = -2 + 0*c + 2*c + 5*c. Determine k*b(g) - 5*f(g).
2*g - 2
Let o(y) = y**2 + 4*y + 5. Let g(q) = 1. Calculate 3*g(t) - o(t).
-t**2 - 4*t - 2
Let f = -47 - -41. Let l(g) = g**2 - 2. Let w(m) = -3*m**2 + 7. Calculate f*w(a) - 21*l(a).
-3*a**2
Let x(i) = 9*i**2 - 8*i + 12. Let k(g) = -6*g**2 + 5*g - 8. What is 8*k(q) + 5*x(q)?
-3*q**2 - 4
Let d(g) = -g**2 - 6*g + 2. Let q(w) = -2*w - 3. Let x(o) = o + 1. Let i(m) = -q(m) - 3*x(m). Let h(z) = -2*z - 15. Let s be h(-5). Give s*i(r) + d(r).
-r**2 - r + 2
Let u(b) = -b + 1. Let m(z) = -5*z**3 + 2*z + 5. Calculate m(k) + 2*u(k).
-5*k**3 + 7
Let t(c) be the third derivative of -c**5/15 + c**4/24 + 56*c**2 + 2*c. Let m(y) = y**2. Calculate -3*m(x) - t(x).
x**2 - x
Let u(y) = 5*y**2 - 8*y - 5. Let v(c) = 9*c**2 - 15*c - 11. Give -11*u(d) + 6*v(d).
-d**2 - 2*d - 11
Let s be ((-4)/(-5))/(5/(-25)). Let f(g) = g**3 - g. Let j(p) = 3*p**3 - p**2 - 4*p - 3. Calculate s*f(i) + j(i).
-i**3 - i**2 - 3
Let w(q) = 6*q**2 + 2*q - 7. Let p(n) = n - 1. Determine -6*p(s) + w(s).
6*s**2 - 4*s - 1
Let w(r) = -18*r**2. Let x(h) = -h**2. What is w(o) + 6*x(o)?
-24*o**2
Let w(r) = -7*r + 3. Let p(h) be the first derivative of h**2/2 - h - 5. Determine 5*p(s) + w(s).
-2*s - 2
Let u be (1/2)/(1/(-14)). Let n(k) = 2*k + 4. Let z(c) = 2*c + 5. Give u*n(f) + 6*z(f).
-2*f + 2
Let f(y) = y - 2. Let v be 1*-2 + 5 + 2. Let c(j) = 8*j + 13. Let x be c(-2). Let g(h) be the second derivative of h**3/6 - h**2/2 - h. What is v*g(i) + x*f(i)?
2*i + 1
Let a(d) = -17*d + 143. Let y(q) = -6*q + 48. Determine -4*a(u) + 11*y(u).
2*u - 44
Let n(s) = s + 3. Let v(o) = -7*o + 8*o + 4 + 3. What is 5*n(d) - 2*v(d)?
3*d + 1
Suppose 4*m = 3*o + 91, 4*o + 0*o + 92 = 4*m. Let v(x) = -x + 3. Let s(q) = -4*q + 11. What is m*v(y) - 6*s(y)?
2*y
Let p(q) = q + 6. Suppose -h - 13 = -6*h - v, -3*h - 4*v = -1. Suppose 5*x = h*x - 22. Let t(n) = 9 - 12 - 14 - 3*n. Determine x*p(y) - 4*t(y).
y + 2
Let x(k) = 4*k**3 - 6*k**2 - 3*k. Let u(j) = j**2 + j. Calculate -3*u(t) - x(t).
-4*t**3 + 3*t**2
Let w(c) = c - 4. Let v(u) = 4*u + 1 - 10*u + u + 4*u. Give 2*v(a) + w(a).
-a - 2
Let s(i) = -i**3 - i**2 - i + 1. Let j(x) = 6*x**2 + 2*x - 3. Calculate -j(d) - 2*s(d).
2*d**3 - 4*d**2 + 1
Let h(o) = 4*o + 7. Let s(z) = -7*z - 13. What is -5*h(a) - 3*s(a)?
a + 4
Suppose 0 = -f + 1 + 2. Let p(x) = -5*x**2 + 6*x + x - 3*x - 2*x**f - 2. Let n(o) = 0 + o**3 - 24*o + 2 + 21*o + 4*o**2. Determine -4*n(h) - 3*p(h).
2*h**3 - h