z(t).
5*t**2 + t + 1
Let b = 8 - 6. Let f(p) be the first derivative of -6*p + 5/4*p**4 - 3 + 0*p**3 + 3*p**b. Let h(j) = -4*j**3 - 5*j + 5. Determine -5*f(z) - 6*h(z).
-z**3
Let r(g) = -5*g**3 - 3*g**2 - 3. Let o(n) = 4*n**3 - 1 - 370*n**2 + 372*n**2 + 3. What is -3*o(b) - 2*r(b)?
-2*b**3
Let a(b) = 7. Let k(t) = 2. Let y(v) = -1. Let f(w) = 3*k(w) + 5*y(w). Let d(g) = a(g) - 6*f(g). Let q(j) = 2*j - 5. Give -6*d(p) - q(p).
-2*p - 1
Let f = 5 - 6. Let w(i) = -i**3 - i. Let r(y) = -2*y**3 - y**2 - y. Let g(n) = f*r(n) + w(n). Let u(b) = -b**3 - 3*b**2 - 2*b - 2. Determine -3*g(v) - u(v).
-2*v**3 + 2*v + 2
Suppose 3*q + 19 = -8. Let g(k) = 3*k**3 + 4*k**2 + 8 - 4 + k + 0. Let x(b) = 7*b**3 + 9*b**2 + 2*b + 9. What is q*g(i) + 4*x(i)?
i**3 - i
Let r(d) = 1. Let g(u) = -7*u - 5. Determine -g(o) - 3*r(o).
7*o + 2
Let w(x) = 10*x - 7. Let l(a) = 5*a - 4. Determine -7*l(k) + 4*w(k).
5*k
Let g(n) = 3*n**2 - n + 2. Let s(i) = -4*i**2 + i + 4 - 4 + 2 - 4. What is 5*g(a) + 4*s(a)?
-a**2 - a + 2
Let j(s) = -9*s - 2. Let w be 3 - (-4 + 5) - 0. Let k(h) = -4*h - 1. Calculate w*j(g) - 5*k(g).
2*g + 1
Let x = -12 + 17. Let h be (9/2)/(9/(-24)). Let s = x + h. Let j(y) = -9*y**2 + 9*y - 7. Let f(a) = -4*a**2 + 4*a - 3. Give s*f(o) + 3*j(o).
o**2 - o
Let y be 2 + -2*1/(-2). Let j = 4 - y. Let g(x) = 5*x**2 - 2*x**3 + 7 - 1 - 6*x + x**2. Let f(u) = -u**2 + u - 1. Give j*g(n) + 6*f(n).
-2*n**3
Suppose 0 = -6*l + 7*l + 4. Let w(s) = 2*s**3 - 9*s**2 - 7*s + 13. Let k(u) = -u**3 + 4*u**2 + 3*u - 6. Determine l*w(c) - 9*k(c).
c**3 + c + 2
Let m(r) = -5*r - 8. Let i(b) be the first derivative of 2*b**2 + 7*b + 8. Give -6*i(o) - 5*m(o).
o - 2
Suppose 12*v - 31*v + 209 = 0. Let n(g) = 4*g - 3*g**2 + 0*g - 2*g**2. Let c(x) = 14*x**2 - 11*x. Give v*n(d) + 4*c(d).
d**2
Let w(u) = u. Let p(z) = 21*z. Let o(m) = -p(m) + 14*w(m). Let g(i) = -7*i. Let j(q) = -5*g(q) + 4*o(q). Let d(a) = -2*a. Determine 22*d(r) + 6*j(r).
-2*r
Let j be 3*(8/(-3))/(-4). Let m(p) = p + 1. Let d(b) = 2*b + 3. What is j*d(y) - 6*m(y)?
-2*y
Let t(r) = -5*r**3 + 6*r**2 - 6*r + 3. Let a(j) = 4*j**3 - 5*j**2 + 5*j - 3. Let o(f) = -6*a(f) - 5*t(f). Let i(v) = -1. Calculate -5*i(x) - o(x).
-x**3 + 2
Let z(y) = y**2 + y - 3. Let t(x) = -6*x**2 - 4*x + 16. Let f be (4/(-6))/((-14)/231). Give f*z(g) + 2*t(g).
-g**2 + 3*g - 1
Let z(g) = -1. Let w(k) = k - 10. Calculate w(d) + z(d).
d - 11
Let f(l) = -14*l**2 - 7*l - 7. Let x(m) = -13*m**2 - 6*m - 6. Calculate 6*f(q) - 7*x(q).
7*q**2
Let z(l) be the second derivative of -l**5/20 - l**3/6 + l**2/2 - l. Let j(w) = 30*w + 4*w**3 - 6*w - 6 - 7*w - 10*w. What is j(h) + 5*z(h)?
-h**3 + 2*h - 1
Let x(v) = -10*v - 14. Let u(s) = -s - 1. Let q = -34 - -46. Calculate q*u(y) - x(y).
-2*y + 2
Let h be (-36)/16*8/3. Let y(p) = -p - 2. Let g(z) be the second derivative of -z**3/3 - 2*z**2 - 3*z. Determine h*g(i) + 13*y(i).
-i - 2
Let n(r) = 2*r**3 + 5*r**2. Let g(m) = 2*m - 2*m**3 - 6*m**2 - 2*m. Let c be (-2 - -3)/((-5)/(-25)). What is c*g(t) + 6*n(t)?
2*t**3
Let o(w) = -w**2 + 10. Let g(z) = -2*z**2 + 20. Give -2*g(q) + 5*o(q).
-q**2 + 10
Let s(y) = -2*y - 3. Let k(o) = o - 7. Let i be k(7). Suppose -v + 6*v - 15 = i. Let j(m) = m + 2. Determine v*j(q) + 2*s(q).
-q
Let y(h) = -h - 4. Let x be y(0). Let i(s) be the first derivative of -6 + 0*s + 1/2*s**2. Let a(o) = 2*o. Determine x*a(p) + 6*i(p).
-2*p
Let u(t) = 3*t + 6. Let s = -14 + 10. Let r = -7 - s. Let x be 2/r*(-9)/6. Let q(w) = w + 1. Calculate x*u(o) - 5*q(o).
-2*o + 1
Let s(b) be the first derivative of -9*b**2/2 - 2*b + 1. Let p(i) = 1 - 2 - 299*i + 294*i. Suppose -j + 3*w = 10, 2 = -2*j - 3*w - 0*w. What is j*s(k) + 7*p(k)?
k + 1
Suppose d + 2 = -i, d - 3 = 5*i - d. Let s(n) = -n - 2. Let a(v) = -2*v - 2. Let h(m) = 2*a(m) - 3*s(m). Let c(j) = -j**3 - j + 1. Determine i*h(k) + 2*c(k).
-2*k**3 - k
Let i(r) = -2*r + 5. Suppose -2 = -a + 1. Let b(v) = 3 + 0*v - 1 + 2*v - 3*v. Calculate a*i(x) - 7*b(x).
x + 1
Let h(t) = t - 2. Let l(c) = -3*c + 3. Let y(i) = 6*i + 51. Let o be y(-9). What is o*l(a) - 5*h(a)?
4*a + 1
Let f(i) = -20*i + 2. Let s(t) = 19*t - 3. Calculate 4*f(c) + 3*s(c).
-23*c - 1
Let o(h) = 15*h**3 - 11*h**2 + 5*h + 1. Let i(k) = 3*k**3 - 2*k**2 + k. Determine -11*i(y) + 2*o(y).
-3*y**3 - y + 2
Suppose 3*l = -0*l - 15. Let r = l - -7. Let h(d) be the first derivative of 2*d**3/3 - 2*d**2 - 14. Let v(s) = s**2 - 3*s. What is r*h(t) - 3*v(t)?
t**2 + t
Let t(r) = 0*r - r - 4*r**2 + 2*r**2 + 3*r**2. Let f(v) = -v**3 - 2*v**2 + 2*v. Determine -f(p) - 2*t(p).
p**3
Let j(v) = -3*v - 4. Let n(s) = -2*s + 3. Let f(o) = o. Let p(u) = 12*f(u) + 3*n(u). Give 9*j(w) + 4*p(w).
-3*w
Let k(i) = 23*i**2 + 3*i - 2. Let y(n) = -22*n**2 - 2*n + 2. Give -4*k(a) - 5*y(a).
18*a**2 - 2*a - 2
Let y(j) = j**2 - 1. Let m(t) = -2*t**3 + 18*t**2 - 18. Determine -2*m(x) + 36*y(x).
4*x**3
Let y(d) = d - 1. Let g(m) = -3. What is -g(s) + 2*y(s)?
2*s + 1
Let s(u) be the second derivative of 7*u**4/6 + u**3 - 7*u**2 + 19*u. Let q(v) = 5*v**2 + 2*v - 5. Give -11*q(j) + 4*s(j).
j**2 + 2*j - 1
Let s be (4/5)/1*5. Let k(q) be the first derivative of -2*q**3 + 4*q - 10. Let o(l) = 13*l**2 - 9. Determine s*o(d) + 9*k(d).
-2*d**2
Let o(p) = 6*p. Let w(g) = 3*g. Calculate -2*o(z) + 5*w(z).
3*z
Let p(v) = -5*v**2 - 3*v. Let w(z) = -z**2 - z. Let s be (-7 + 3)*-1*1. Suppose s*y + 4 = -8. Calculate y*w(n) + p(n).
-2*n**2
Let t(i) = 3*i - 12. Let z be t(5). Let k(b) = -4. Let x(p) = p + 3. Determine z*x(f) + 2*k(f).
3*f + 1
Let m(b) = -2. Let i(g) = -g - 5*g + 7*g - 2*g. Let f be (-1)/(-4) + (-3)/(-4). What is f*m(u) - 2*i(u)?
2*u - 2
Let j(c) be the first derivative of c**2/2 + c + 1. Let o(t) = -t**2 - 5*t - 1. Let n be o(-5). Let d(x) = 5*x - 8 - x + 8. Determine n*d(k) + 2*j(k).
-2*k + 2
Let h(a) = -2*a**3 + 9*a + 11. Let w(x) = -4*x**3 + 19*x + 21. Let r(d) = -5*h(d) + 2*w(d). Let k(g) = g**3 - 4*g - 7. Give 7*k(o) - 4*r(o).
-o**3 + 3
Let m(g) = 3*g + 3. Let v(h) = -3*h - 2. Give -4*m(c) - 5*v(c).
3*c - 2
Let t(s) = 3*s - 2. Let j(u) = -7*u + 5. What is 2*j(l) + 5*t(l)?
l
Let b(z) = -10*z**3 - 2*z**2 - 2*z - 2. Let a(w) = w**3 - w**2 - w - 1. Give -2*a(k) + b(k).
-12*k**3
Let x(f) = f**3 - f**2 + f. Let a(j) = -3*j**3 + 4*j**2 - 12*j. What is a(v) + 4*x(v)?
v**3 - 8*v
Let f = 5 - 2. Let d(z) = 11*z - 11. Let p(q) = -4*q + 4. What is f*d(c) + 8*p(c)?
c - 1
Suppose 3*c = -2*c + 10. Let d(s) = -4*s + 2 - 5*s + c*s. Let b(f) = 3*f - 1. Give -5*b(a) - 2*d(a).
-a + 1
Let x(t) = t**3 + t**2 + t. Let c(p) = p**2 + 2*p. Determine -c(q) + 2*x(q).
2*q**3 + q**2
Let c(q) = -36*q + 9. Let v(i) = -18*i + 4. Give -2*c(s) + 5*v(s).
-18*s + 2
Let m(r) be the third derivative of -r**4/24 - 2*r**3/3 - 5*r**2. Let q(a) = 2*a + 7. Give 5*m(x) + 3*q(x).
x + 1
Let x(c) be the second derivative of c**3/6 + 3*c + 3. Let n(y) = -2*y. Calculate 2*n(o) + 5*x(o).
o
Let w(k) = -k**2 + 1. Let n(m) = 6*m**2 - 3. Let s(q) = 3*q**2 - 1. Let c(v) = -3*n(v) + 5*s(v). Calculate -3*c(h) + 12*w(h).
-3*h**2
Suppose -4*d - k + 5*k - 52 = 0, 0 = -k + 4. Let n(u) be the first derivative of -u**2/2 - 2*u + 3. Let p(f) = 5*f + 9. What is d*n(q) - 2*p(q)?
-q
Let o(a) = 2*a. Let n = 1 - -2. Let d be (-4)/n*9/(-6). Let u(l) = 9*l. Determine d*u(g) - 10*o(g).
-2*g
Let u(r) = r**2 + r - 1. Let k(w) = -3*w + 4*w**2 - 2*w + 3 + 8*w - 6. What is k(z) - 5*u(z)?
-z**2 - 2*z + 2
Let r = 4 - 2. Let s(o) = 5*o - 2. Let d(a) = 4*a - 2. Let x be (3/(-5))/((-3)/(-15)). Calculate r*s(q) + x*d(q).
-2*q + 2
Let w = 26 + -24. Let b(c) = 1. Let l(j) = j**2 + 2*j. Let n(h) = h**2 + h + 1. Let d(g) = -2*l(g) + 3*n(g). Give w*b(y) - d(y).
-y**2 + y - 1
Let m(f) = f**2 + 2*f - 11. Let k(o) = -o + 4. Determine 11*k(j) + 4*m(j).
4*j**2 - 3*j
Let l(k) = 11*k + 22. Let c(v) = -6*v - 11. Give -7*c(p) - 4*l(p).
-2*p - 11
Let d(n) be the third derivative of -n**6/20 - n**4/4 - n**3/3 + 5*n**2. Let t(w) = -w + 3. Let j be t(7). Let h(g) = -5*g**3 - 5*g - 2. Give j*d(c) + 5*h(c).
-c**3 - c - 2
Let l(k) = -2*k**2 - 4*k + 4. Let w be (60/(-100))/((-1)/5). Let t(u) = -5*u**2 - 9*u + 9. Let z be ((-14)/4)/((-1)/(-2)). What is w*t(j) + z*l(j)?
-j**2 + j - 1
Let h(k) = 3*k**3 - 9*k**2 - 3*k - 4. Let r(i) = -i**3 + 4*i**2 + i + 2. What is 4*h(g) + 9*r(g)?
3*g**3 - 3*g + 2
Let p(n) = -n**2 - n - 3. Let h(q) = q**2 + q 