- t
Let c(r) = -4*r**2 + 3*r - 3. Let g(o) = 5*o**2 - 3*o + 2. Give 2*c(s) + 3*g(s).
7*s**2 - 3*s
Let z(y) = y**3 + 7*y**2 + 3*y. Let b be z(-6). Let i(q) = -q**2 + 2*q + 2. Let x(c) = -4*c**2 + 9*c + 9. Determine b*i(r) - 4*x(r).
-2*r**2
Let g(z) = -z**3 - 6*z**2 - z + 2. Let n be g(-6). Let k(h) be the third derivative of h**4/12 - 4*h**2. Let t(y) = -6*y. What is n*k(l) + 3*t(l)?
-2*l
Let f(p) = 3*p**3 + 2*p**2 - 2*p. Let i be 6/(-2)*((-4)/(-2) + -3). Let q(o) = -2*o**3 - 3*o**2 + 3*o. Give i*f(x) + 2*q(x).
5*x**3
Let r(j) = 31*j**3 - 7*j + 7. Let o(m) = 21*m**3 - 5*m + 5. Determine 7*o(c) - 5*r(c).
-8*c**3
Let r(z) = 2*z**2 - 2*z + 4. Let g(k) = 8*k**2 - 9*k + 15. What is -2*g(o) + 9*r(o)?
2*o**2 + 6
Let g(m) = m. Let h(s) = 7*s - 4. What is -5*g(f) + h(f)?
2*f - 4
Let o(i) = -7*i**2 + 6*i - 6. Let y = 7 - 2. Suppose 2*q = q - y. Let r(u) = 6*u**2 - 5*u + 5. Calculate q*o(k) - 6*r(k).
-k**2
Let i(o) be the second derivative of -5*o**3/6 + o**2/2 + o. Let m be ((-60)/(-9))/(-5)*3. Let c(g) = -4*g + 1. What is m*c(v) + 3*i(v)?
v - 1
Let h(y) = 2*y**2 - 3*y + 1. Let t be h(2). Let k(z) = -5*z**2 + 2*z - 2. Let m(a) = 4*a**2 - 2*a + 2. Give t*k(n) + 4*m(n).
n**2 - 2*n + 2
Let a(k) be the third derivative of -1/2*k**3 + 0 + 0*k - 1/24*k**4 + k**2. Let z(u) = -1. Give -a(m) + 2*z(m).
m + 1
Let y(c) = -5*c**3 + 4*c + 3. Let z(t) = -6*t**3 + 3*t + 2. What is 2*y(o) - 3*z(o)?
8*o**3 - o
Let c(p) = -p**3 + p - 1. Let u(z) = 6*z**3 + 6*z**2 - 10*z + 3. Let m(r) = -4*c(r) - u(r). Let d(g) = 2*g**3 + 5*g**2 - 5*g - 1. Determine 6*d(o) + 5*m(o).
2*o**3 - 1
Let o(k) = 5 - 3*k**2 - 5*k**2 + 9*k + 15*k**2. Let r = -18 + 13. Let v(h) = -3*h**2 - 4*h - 2. Give r*v(a) - 2*o(a).
a**2 + 2*a
Let g(x) = x - 1. Let v(p) = 5*p + 2. Let z(m) = 1. Let b(s) = -v(s) + 4*z(s). Give b(y) + 4*g(y).
-y - 2
Let r(i) = 6*i**3 + 7*i**2 - 36*i + 3. Let b(v) = 4*v**3 + 5*v**2 - 24*v + 2. Give -7*b(g) + 5*r(g).
2*g**3 - 12*g + 1
Let m(d) = -d**2 + d - 1. Let t(w) = -w**2 + 4*w - 1. Let f(z) = -z - 5. Let p be f(-6). Suppose 0*l + o = -2*l - 8, l = -2*o - 7. Determine l*m(h) + p*t(h).
2*h**2 + h + 2
Let y(n) = -8*n - 6. Let v be y(3). Let w be ((-2)/(-6))/((-5)/v). Let p(a) = -9*a**2 - 5*a - 2. Let x(b) = 4*b**2 + 2*b + 1. Calculate w*p(d) + 5*x(d).
2*d**2 + 1
Let v(g) = g**2 + 3*g. Suppose -8*z = 6*z + 56. Suppose -3*b + 7 - 1 = 0. Let m(s) = s + s**b + 3*s + 0*s. What is z*v(o) + 3*m(o)?
-o**2
Let h(k) = 51*k**2 - 3*k + 1. Let g(b) = b - 1. Give g(x) + h(x).
51*x**2 - 2*x
Let h(d) = 2*d - 5. Suppose -42 = -4*v - 2*t, -v = 4*v + 3*t - 52. Let x(f) = f + 41. Let i(w) = 8. Let y(l) = v*i(l) - 2*x(l). What is -6*h(g) - 5*y(g)?
-2*g
Let d(w) = 6*w**2. Let i(k) be the first derivative of -7*k**3/3 - 1. Let u(x) = 6*x - 154. Let l be u(25). What is l*d(r) - 3*i(r)?
-3*r**2
Let t(m) be the third derivative of m**4/8 + m**3/2 - 15*m**2. Let q(g) = 4*g + 3. What is -4*q(h) + 5*t(h)?
-h + 3
Let o be 10/(-70) - (-100)/14. Let s = o - 3. Let v(r) = -s*r - r + 6*r. Let c(n) = -2*n**3 - 3*n. Determine c(d) + 3*v(d).
-2*d**3
Let z(y) = -90*y + 40. Let g(u) = 7*u - 3. Let v(f) = 40*g(f) + 3*z(f). Let j(p) be the first derivative of -3 - 3/2*p**2 + 0*p. Calculate 16*j(r) + 5*v(r).
2*r
Let z(a) = 3*a**3 - 2*a**2 - 4*a - 2. Let p(s) be the first derivative of -4*s + 7/4*s**4 - 3 - 9/2*s**2 - 5/3*s**3. What is 4*p(u) - 9*z(u)?
u**3 - 2*u**2 + 2
Let m(s) be the third derivative of -s**4/24 + s**3/2 - s**2. Let t be m(8). Let f(y) = y + 5. Let v(k) = k + 4. What is t*f(x) + 6*v(x)?
x - 1
Let a(m) = -8*m**2 + 13. Let z(y) = y**2 + 12*y + 14. Let u be z(-9). Let r(n) = -4*n**2 + 6. Determine u*r(g) + 6*a(g).
4*g**2
Let q(t) = 2*t - 4. Let j(m) = -5*m + 9. Determine 3*j(o) + 7*q(o).
-o - 1
Suppose 2*x = 3*x - 3*w, -12 = 3*x + 3*w. Let p(d) = d + 1. Let r(n) = -n**2 + 3*n. Determine x*p(a) + r(a).
-a**2 - 3
Let n(z) = -5*z**3 + 3*z**2 - 3. Let o(t) be the second derivative of t**5/20 - t**4/12 + t**2/2 + 2*t + 3. Determine -n(j) - 4*o(j).
j**3 + j**2 - 1
Let d(w) = -2*w - 4. Let q(k) = 6*k + 13. Calculate 7*d(c) + 2*q(c).
-2*c - 2
Let x(p) = -p**2 - p + 1. Let u(r) = -2*r**2 - 2*r + 1. Let z be ((-5)/(-2))/(3/(-6)). Let s be z/15*(-1 - -4). What is s*x(w) + u(w)?
-w**2 - w
Let n(l) = 8 - 2 + 0*l + 2*l**2 + 7*l. Let o(s) = -2*s**2 - 8*s - 7. Calculate 6*n(j) + 5*o(j).
2*j**2 + 2*j + 1
Let x(o) = -3*o + 2. Let c(y) = -y + 1. Calculate -2*c(l) + x(l).
-l
Let r be ((-26)/4)/((-20)/40). Let l(v) = -v**2 - 5*v + 7. Let h(s) = 2*s**2 + 11*s - 15. What is r*l(n) + 6*h(n)?
-n**2 + n + 1
Let t be 0/(2 + 2 + -3). Let w(z) = z + z + t*z + 3*z. Let i(f) be the second derivative of 4*f**3 + f. Determine 3*i(l) - 14*w(l).
2*l
Let x(v) = 7*v + 5. Let z(n) = 9*n - 2. Let b(u) = -1 + u + 2*u + 3*u. Let k(j) = 8*b(j) - 5*z(j). Suppose 11*d - 4 = 10*d. Give d*x(f) - 10*k(f).
-2*f
Let i(q) = -q**2 - 3*q + 3. Let m(u) = -2*u**2 - 5*u + 5. Let g(z) = z**3 + z**2 - 3*z + 4. Let r be g(-3). Calculate r*i(k) + 3*m(k).
-k**2
Let i(r) = -15*r**2 - 19*r + 23. Let d(w) = 7*w**2 + 9*w - 11. Determine -13*d(p) - 6*i(p).
-p**2 - 3*p + 5
Let r(q) = -q**2 + 4 + 4*q**2 - 8 + 2*q**3 + 1. Let a(l) = -11*l**3 - 17*l**2 + 17. Suppose 4*n - n = -102. Calculate n*r(z) - 6*a(z).
-2*z**3
Let l(b) = b. Let a(g) = -7*g + 3. What is -a(y) - 6*l(y)?
y - 3
Let i(p) = 14 + p + 2*p - 13. Let k(f) = -2*f - 1. Give -4*i(x) - 5*k(x).
-2*x + 1
Let x(t) = 5*t**3 + 3*t**2 - 6*t - 1. Let m(c) = c**3 + c**2 - c. Let q(w) = 4*m(w) - x(w). Let f(v) = -4*v**3 + 5*v + v**3 - 4*v + 2*v**3. Give 2*f(k) - q(k).
-k**3 - k**2 - 1
Let b(j) be the first derivative of j**2/2 + 2*j + 2. Let g(q) = q + 4. What is -5*b(h) + 3*g(h)?
-2*h + 2
Let y = 7 - 2. Suppose -1 = k - y. Let n(w) = -11*w**3 + 9*w + 9. Let d(q) = -6*q**3 - q**3 + 3*q**3 + 4*q + 4 - q**3. Give k*n(u) - 9*d(u).
u**3
Let c(t) = -2*t**3 - 6*t - 6*t**2 + 6 - 5*t**3 + 2 + 3*t**3. Let j(d) = -d**3 - d**2 - d + 1. What is -c(o) + 6*j(o)?
-2*o**3 - 2
Let q(d) = -d - 4. Let f be q(-4). Let t(a) = 4*a**2 + 3 - 3*a**2 + 2*a + f - 4*a**3. Let n(v) = 17*v**3 - 4*v**2 - 9*v - 13. Determine 2*n(u) + 9*t(u).
-2*u**3 + u**2 + 1
Let r(a) = a + 1. Suppose 3*t - 11 = -j, j = 5*j + 4*t - 4. Let z(h) = -h. Let b(x) = -x - 2. Let o(k) = j*z(k) - b(k). Calculate -o(q) + 4*r(q).
-q + 2
Let f(t) = t**2 + 6*t - 5. Let s be (-2)/2*2/(-2). Let i be (0 + s)/((-1)/(-33)). Let q be (-27)/i - 2/11. Let h(p) = p - 1. Give q*f(d) + 5*h(d).
-d**2 - d
Let p(c) = 11. Let j(s) = s + 22. Calculate 4*j(r) - 7*p(r).
4*r + 11
Let y(f) = 60*f**3 + 72*f**2. Let v(t) = -t**3 - t**2. Calculate 72*v(z) + y(z).
-12*z**3
Let i(x) = -x + 1. Let z(m) = -3 + 2*m + m**3 + 0*m**3 + 2*m. Let b be (-144)/30 + 8/10. Calculate b*i(v) - z(v).
-v**3 - 1
Let n(v) = -v - 3. Let i(k) = 3*k + 8. Let h(t) = -t**2 + 9*t + 6. Let r be h(9). Suppose -2*f + r = -f. Suppose -30 + f = -3*j. What is j*n(o) + 3*i(o)?
o
Suppose -8 + 34 = 2*c. Suppose -5*k = -x - c - 4, 4*k - 8 = 0. Let p(y) = 9*y**3 - 7*y - 2. Let d(h) = -5*h**3 + 4*h + 1. Calculate x*d(n) - 4*p(n).
-n**3 + 1
Let i(o) = 2*o - 4. Suppose 4*d - 6 = -3*r, -5*d = -2*d + 2*r - 4. Suppose 6*g - g - 20 = d. Let l(h) = -5*h + 11. What is g*l(m) + 11*i(m)?
2*m
Let h(z) = 8*z + 3. Let p(t) = -t - 1. Give h(a) + 4*p(a).
4*a - 1
Let p(s) = 2 - 16 + 2*s + 6*s. Let q be 2/(-2 + 16/10). Let m(u) = -3*u + 5. Give q*p(w) - 14*m(w).
2*w
Let s(t) = -6*t + 5. Let g(d) = d - 1. Calculate 3*g(u) + s(u).
-3*u + 2
Let k(p) = 2*p. Let y(r) be the first derivative of 0*r - 1/2*r**2 - 2. Determine k(n) + 3*y(n).
-n
Let t(x) = -55*x**3 - 20. Let a(d) = 8*d**3 + 3. Determine 20*a(l) + 3*t(l).
-5*l**3
Let z(h) = 18 + h - 15 + 4*h. Let w(q) = 8*q - 2*q + 2 + 2. Determine -3*w(l) + 4*z(l).
2*l
Let p(g) = 5*g. Let j = 21 + -25. Let y(x) = -9*x. Give j*y(z) - 7*p(z).
z
Let y(z) = 2*z**3 - 3*z**2 + 3*z + 3. Let k(w) = w**3 + w + 1 + 0*w**2 - w**2 + 0*w**3. Let t be (-2*2)/(-8)*-2. Give t*y(r) + 3*k(r).
r**3
Let b(m) = -12*m**2 - 3*m - 3. Let q(g) = -13*g**2 - 3*g - 2. Determine -2*b(k) + 3*q(k).
-15*k**2 - 3*k
Let a(s) = -3*s + 5. Let v(n) = n**2 - 13*n - 5. Let d(g) = 14*g**2 - 1. Let j be d(-1). Let f be v(j). Let y(m) = 3*m - 4. What is f*y(l) - 4*a(l)?
-3*l
Let v(j) = -9*j - 9. Let m(y) = 50 - 22 - 24 + 4*y. Calculate -5*m(o) - 2*v(o).
-2*o