v - 2
Let k(b) = b**2 - 1. Let u(m) = -m**2 + m - 2. Suppose 3*f = 5*g + 16, -g = 3*f + g - 2. Determine f*k(j) - u(j).
3*j**2 - j
Let y(j) = -5*j**2 + 5. Let l(m) = -6*m**2 + m + 6. Calculate 2*l(v) - 3*y(v).
3*v**2 + 2*v - 3
Let u(p) = 4*p + 9. Suppose 7*c = 2*c + 20. Let m(d) = -d**2 - 3. Let y be m(-2). Let g(w) = 2*w + 5. What is c*u(j) + y*g(j)?
2*j + 1
Let d(y) be the third derivative of 5*y**4/24 - 2*y**3/3 - 4*y**2. Let l(a) = -2 - 6*a - 7 + 17*a. What is -9*d(j) + 4*l(j)?
-j
Let v(j) = j**2 - j - 1. Let u(n) = -129 + 62 - 2*n + 65. Calculate u(b) - 2*v(b).
-2*b**2
Let d(g) be the first derivative of g + 5/2*g**2 + 1. Let l(m) = -6*m - 2. Suppose 3*z - 6 = 5*r, 4*z = -2*r + 3*r - 9. What is r*l(k) - 4*d(k)?
-2*k + 2
Let u(q) = -20*q**2 - 18*q. Let r(b) = 2*b**2 + 0*b - b + 0*b - 3*b**2. Calculate 36*r(i) - 2*u(i).
4*i**2
Let c(u) = -7*u - 4. Let i(d) be the third derivative of -3*d**2 + 0 - 1/8*d**4 + 0*d - 1/3*d**3. What is 2*c(t) - 5*i(t)?
t + 2
Let v(r) = 24*r - 1. Let o(u) = -u. Give -10*o(x) - 2*v(x).
-38*x + 2
Let w(l) = 4*l**2 + 4*l - 4. Let g(d) = 8*d**2 + 7*d - 9. Let h(q) = -2*g(q) + 5*w(q). Let z(i) = 7*i**2 + 11*i - 4. Give -11*h(t) + 6*z(t).
-2*t**2 - 2
Let g(q) = -13*q - 1. Let n(f) = -6*f - 1. Give -3*g(v) + 5*n(v).
9*v - 2
Let i = 9 - 7. Let p(t) = t**3 - 4*t - 3. Let o be p(-2). Let l(d) = -2*d**2 - 2*d. Let j(n) = -2*n**2 - 3*n. Calculate i*j(m) + o*l(m).
2*m**2
Let c = 1 - 0. Let a(t) = -t**2 - t + 1. Let d(f) = -7*f**2 - 6*f + 8. Let u(o) = 3*o**2 + 3*o - 4. Let q(i) = 3*d(i) + 5*u(i). Determine c*q(g) - 5*a(g).
-g**2 + 2*g - 1
Let o(v) = 4*v**2 - v - 3. Let a(w) = w**2 - 1. What is -6*a(p) + 2*o(p)?
2*p**2 - 2*p
Let u(d) = -10*d. Let f(n) = 5*n. Calculate 13*f(y) + 6*u(y).
5*y
Let h(r) = r**3 - 2*r**2. Let i(k) = -3*k**2 + 2*k - 2*k + 5*k**3 - 6*k**2. Give 9*h(c) - 2*i(c).
-c**3
Let r be -1 + 1/(2/(-32)). Let b(z) = 17 + z**3 + 2*z**3 - 17*z**2 - 12*z + 0*z**3 - 5*z. Let k(p) = p**3 - 6*p**2 - 6*p + 6. Give r*k(t) + 6*b(t).
t**3
Let d(f) = 11*f**2 + 3. Let h(l) = -208*l**2 - 56. Determine 112*d(j) + 6*h(j).
-16*j**2
Let u(s) = -9*s**2 - 2*s. Let j(q) = -9*q**2 - 2*q. Determine 6*j(d) - 5*u(d).
-9*d**2 - 2*d
Let f(h) = 2*h**3 + 15*h**2 - 13*h + 2. Let q(w) be the third derivative of w**6/120 + 7*w**5/60 - w**4/4 + w**3/6 + 3*w**2. Give 6*f(o) - 13*q(o).
-o**3 - o**2 - 1
Suppose d - 22 = -3*t, 5*t - 2*t - 3*d - 30 = 0. Suppose t*h = 7*h - 3. Let b(y) = -1 + y + 0*y - 1. Let x(v) = -v + 3. Determine h*x(l) - 5*b(l).
-2*l + 1
Let k(b) = 3*b**3 + 5*b**2 + b - 6*b**3 + 2*b**3. Let n(q) = q**2 + 17*q - 42. Let g be n(-19). Let r(c) = -c**3 + 6*c**2 + 2*c. Determine g*k(p) + 3*r(p).
p**3 - 2*p**2 + 2*p
Let i(v) = v**3 - v - 1. Let m(p) = -5*p**3 - 5*p - 2. Give 2*i(y) - m(y).
7*y**3 + 3*y
Let o(y) = 1. Let s = -3 + 6. Let a be (0 - 0)/(-5 + s). Let m(b) = a*b - b + 0*b - 3 - 1. Determine m(f) + 4*o(f).
-f
Let g(d) = -d. Let h(r) = -2. Let n(x) = x. Let k(w) = h(w) + 3*n(w). Let v be (-2)/(4/2)*-2. Calculate v*g(a) + k(a).
a - 2
Let p(b) = -3*b**3 + b**2 - 5*b + 2. Let g(v) = v**3 - v**2 - 1. Give -g(o) - p(o).
2*o**3 + 5*o - 1
Let l(i) = i - 2. Let q be 0/(5 + -3 - 1). Let k(s) = -3*s + 2*s + 2 + q - 1. Calculate 3*k(y) + l(y).
-2*y + 1
Let j(r) = -7*r - 6 - 13 + 12 + 5. Let t(m) = 6*m + 2. Determine 5*j(i) + 6*t(i).
i + 2
Let c(y) = 12*y + 3. Let g(b) = -25*b - 7. Give 5*c(u) + 2*g(u).
10*u + 1
Let j(h) = -5*h**3 + 6*h**2 - 4*h + 6. Let n(o) = 4*o**3 - 5*o**2 + 3*o - 5. Let s be -6 - 4*4/(-8). Let i be (-13)/4 - 1/s. Calculate i*j(r) - 4*n(r).
-r**3 + 2*r**2 + 2
Let a(y) be the second derivative of 0 + 4*y + 5/2*y**2 + 7/6*y**3. Let c(l) = 3*l + 2. What is 2*a(z) - 5*c(z)?
-z
Let v(r) = 4*r**3 - 4*r**2 + r. Let u(m) = 3*m**3 - 5*m**2 + 2*m. Calculate -3*u(c) + 4*v(c).
7*c**3 - c**2 - 2*c
Let o(t) = -1725*t. Let x(r) = -25*r. What is -4*o(y) + 275*x(y)?
25*y
Suppose 9*x - 8*x + 1 = 2*b, -5 = -3*x + 2*b. Let v(q) = q**3 - q**2 - 2*q + 3. Let g(z) = -z**3 + 2*z**2 + 4*z - 5. Calculate x*g(k) + 5*v(k).
2*k**3 + k**2 + 2*k
Let j(o) = 4*o**2. Let s(g) = -12*g**2. Determine -8*j(a) - 3*s(a).
4*a**2
Let b(q) = -q**3 - q**2 - q - 1. Let n(i) = -4*i**3 - 6*i**2 - 4*i - 5. Let x be (8/(-6))/((-2)/3). Let s be x/(-10) - (-28)/(-35). What is s*n(a) + 5*b(a)?
-a**3 + a**2 - a
Let j(z) = 5*z**3 + 2*z + 5. Let a = -4 - -7. Let x(r) = 6*r**3 + 2*r + 6. Determine a*x(w) - 4*j(w).
-2*w**3 - 2*w - 2
Let m(x) = -7*x - 29. Let y(n) = -4*n - 15. Calculate 6*m(o) - 11*y(o).
2*o - 9
Let z(x) = 780*x**3 - 143*x**2 - 143*x. Let i(b) = 11*b**3 - 2*b**2 - 2*b. Give 143*i(w) - 2*z(w).
13*w**3
Let s(d) = -d**2. Let b(k) = k**3 + 8*k**2 + 1. Suppose -4 = -5*y - 44. Let n be b(y). Let z(f) = f**3 + 6*f**2. Calculate n*z(u) + 6*s(u).
u**3
Suppose -4*t + 4 = -3*l - 5, 0 = t - 3*l. Let n(u) = 2*u. Let y(z) = 2*z. Give t*n(x) - 4*y(x).
-2*x
Suppose -3*x + 25 = 2*x. Let i(p) = 4 - 1 + 2 - p + 7*p**2. Let l(d) be the second derivative of d**4/4 + d**2 - d. Calculate x*l(v) - 2*i(v).
v**2 + 2*v
Let x(y) = y - 2. Let j(w) = 5*w**2 - 4*w - 2. Let a be j(-1). Let m(l) be the first derivative of 2 - 3/2*l**2 + a*l. Give -2*m(b) - 7*x(b).
-b
Let s(b) = 2*b + 2. Let g(y) = 4 + 10 - 8 + 6*y. Determine 3*g(k) - 10*s(k).
-2*k - 2
Suppose -3*t = -0*p + 2*p + 14, -3*t - 16 = 4*p. Suppose z - 2 - 1 = 0. Let v(u) = z*u**2 + 3 - 5 + u**2. Let b(r) = -5*r**2 + 3. Calculate t*v(n) - 3*b(n).
-n**2 - 1
Let r(p) = 97*p**2 - 3. Let c(k) = -194*k**2 + 5. Determine 3*c(j) + 5*r(j).
-97*j**2
Let k(x) = -x**3 + x**2 + x + 1. Let c(v) be the third derivative of v**6/60 - v**5/20 - v**4/24 - v**3/2 - 3*v**2. Calculate -c(h) - 3*k(h).
h**3 - 2*h
Let y(g) = -g. Let f(t) = -11*t**2 + 9*t + 4. Let u(x) = f(x) + 5*y(x). Let h(v) = -20*v**2 - 2 - 2*v + 14*v**2 + 11*v**2. Give -7*h(w) - 3*u(w).
-2*w**2 + 2*w + 2
Let d(y) = 2*y**2 + 6*y + 6. Let c(o) be the second derivative of -o**3/6 - o**2/2 + 5*o. Determine -5*c(v) - d(v).
-2*v**2 - v - 1
Let k(h) = 8*h - 7. Let g(t) = 17*t - 15. What is -6*g(b) + 13*k(b)?
2*b - 1
Let i(x) = -4*x**3 - 5*x**2 - 31*x. Let n(l) = -l**3 - l**2 - 6*l. Calculate -2*i(c) + 11*n(c).
-3*c**3 - c**2 - 4*c
Let n(i) = i - 1. Let l(a) = -3*a + 1. Give l(d) + 2*n(d).
-d - 1
Let n(l) = l**3 - 5*l**2 + l - 4. Let m be n(5). Let y(g) = -g - 1. Let u(o) = 3*o + 1. What is m*u(k) + y(k)?
2*k
Let k(u) = 3*u - 5. Let x(p) = 5*p + p - 2*p - 6. Give 6*k(d) - 5*x(d).
-2*d
Let n(r) = -r**2 + 3*r + 4. Let i(h) = 6*h - 2*h + 4 - 2*h - 1. Determine -3*i(w) + 2*n(w).
-2*w**2 - 1
Let t(c) = -6*c**2. Let s(l) = -2*l**2. What is 14*s(k) - 5*t(k)?
2*k**2
Let l(w) = -21*w**3 - 9*w**2 + 4*w - 15. Let f(g) = 5*g**3 + 2*g**2 - g + 4. Determine 9*f(v) + 2*l(v).
3*v**3 - v + 6
Let z(q) = -7*q**2 + 4*q. Let o(d) = 15*d**2 - 9*d. Let y(j) = -j - 16. Let n be y(-20). Determine n*o(s) + 9*z(s).
-3*s**2
Let m(b) = b**2. Let g(n) = 6*n**2 + n. Determine -4*g(f) + 28*m(f).
4*f**2 - 4*f
Let b be (-1)/4 - (-153)/(-12). Let j be (-13)/(-2) + (-3)/6. Let n(r) = -2*r**3 - 6. Let q(z) = -5 - 4 - 4 - 4*z**3. Give b*n(s) + j*q(s).
2*s**3
Let a(i) = 11*i - 3. Let f(d) = -16*d + 4. Determine 7*a(z) + 5*f(z).
-3*z - 1
Let w(h) be the first derivative of -h**4/24 + 7*h**3/6 + h**2 + 2. Let g(u) be the second derivative of w(u). Let j(k) = -k + 6. Determine -5*g(i) + 6*j(i).
-i + 1
Let h(u) = -u + 1. Let g(i) = 23*i**2 - 11*i. Let j be 11/4 + (-2)/(-8). Let k(m) = j*h(m) + g(m). Let v(f) = 8*f**2 - 5*f + 1. Give -6*k(w) + 17*v(w).
-2*w**2 - w - 1
Let t(k) = -2. Let s(q) = 10*q + 6. Let a(d) = -7*d - 4. Let z(x) = -7*a(x) - 5*s(x). Suppose -3*l + 2 = -4. Give l*z(o) - 3*t(o).
-2*o + 2
Let m(v) = v - 6. Let q(b) = b - 5. Calculate 4*m(j) - 6*q(j).
-2*j + 6
Let v = 0 + 14. Let n(h) = -3*h**3 + 7*h - 7. Let d(g) = -3*g**3 + g - 1. Let o(r) = -2*r**3 + r - 1. Let u(b) = -3*d(b) + 5*o(b). Give v*u(q) - 4*n(q).
-2*q**3
Suppose -5*r + 5 = 5*a, -4*a + 1 = 13. Let b(n) = 9*n - n + r*n - 5 - n. Let f(t) = -4*t + 2. Give 3*b(d) + 8*f(d).
d + 1
Suppose 0*x = x - 5. Let p(i) = i**2 + 1. Let j(v) = -v**2 - v + 7. Let y(q) = -j(q) + p(q). Let z(m) = 1034 - m - 1029 - 2*m**2 + 0*m**2. Give x*y(w) + 6*z(w).
-2*w**2 - w
Let k(i) be the second derivative of i**5/20 + i**3/6 - i**2/2 - 32*i. Let b(h) = 9*h**3 + 6*h - 6. Let n = -