- 8*w(r).
2*r**3
Let t(a) be the first derivative of a**2 + 6*a + 1. Let q(d) = -7*d + 1 - 12*d + 20*d. Determine 4*q(b) - t(b).
2*b - 2
Let t(o) = o - 1. Let f(w) = -w**2 - 6*w. Give -f(m) - 2*t(m).
m**2 + 4*m + 2
Suppose 8*i = -14 + 62. Let k(r) = 13*r**3 + 6*r - 6. Let n(m) = -27*m**3 - 13*m + 13. What is i*n(o) + 13*k(o)?
7*o**3
Let o(q) = 5*q**2 + 25*q + 6. Let s(n) = n**2 + n + 1. Give -o(l) + 6*s(l).
l**2 - 19*l
Suppose -2 = -5*m + 8. Let p(b) = -b**3 - b**2. Suppose 3*q = 4*q. Let y(g) = 3*g**3 + g**2 + 0*g**3 - 2*g + q*g**2. Determine m*p(x) + y(x).
x**3 - x**2 - 2*x
Let w = -21 - -13. Suppose 2*v + 10 = -0*v. Let i(a) = -14*a**2 + 8*a - 11. Let h(d) = 9*d**2 - 5*d + 7. Give v*i(c) + w*h(c).
-2*c**2 - 1
Let k(w) = -14*w - 2. Let z(p) = 28*p + 5. Give 10*k(a) + 4*z(a).
-28*a
Let o(f) = 2*f**2 + f + 2. Let r be (4/(-4))/1 + 5. Suppose -1 = -r*d - 5. Let s(u) = -u. What is d*o(h) - 2*s(h)?
-2*h**2 + h - 2
Let f(d) = 48*d**3 - 5*d**2 - 5*d - 5. Let t(c) = c**3 - c**2 - c - 1. Determine f(y) - 5*t(y).
43*y**3
Let p(t) = 4*t**2 - 5*t. Let i(w) be the third derivative of -w**5/60 + w**4/24 - 8*w**2. Give 18*i(c) + 4*p(c).
-2*c**2 - 2*c
Let c(j) be the third derivative of -j**6/20 - j**5/20 - j**4/8 - j**3/2 + 3*j**2. Let t(q) = 5*q**3 + 2*q**2 + 2*q + 2. Let p = 20 - 23. Give p*t(u) - 2*c(u).
-3*u**3
Let o(b) = 71*b**3 - 10*b + 11. Let w(n) = 14*n**3 - 2*n + 2. Determine -2*o(a) + 11*w(a).
12*a**3 - 2*a
Let i be 32/10 - (-5)/(-25). Let k(x) = -1 - i - x + 7. Let s(y) = -2*y + 5. Determine 5*k(c) - 3*s(c).
c
Let c(k) = -22*k**2 - 6*k + 16. Let r = -2 + 2. Let m(s) = 8*s - 6*s + 7*s**2 + r - 5. Calculate -5*c(j) - 16*m(j).
-2*j**2 - 2*j
Let w be (-1 - 0)/(-1) + 0. Suppose -11*m = -14*m - 6. Let i(u) = -u**2 + 4*u - 4. Let q(k) = k - 1. Determine m*q(s) + w*i(s).
-s**2 + 2*s - 2
Let t(k) = 7*k**2 + 8*k + k**2 + 4*k**3 - k**2. Let h(u) = -3*u**3 - 6*u**2 - 7*u. Let y be ((-5)/(-3))/(1/3). Calculate y*t(z) + 6*h(z).
2*z**3 - z**2 - 2*z
Let s(k) = -k**2. Let m(d) be the first derivative of -d**7/420 - d**6/45 + 2*d**3 - 3. Let t(q) be the third derivative of m(q). Calculate 6*s(l) - t(l).
2*l**3 + 2*l**2
Let h(r) = -212*r**2 + 11*r - 17. Let y(a) = -71*a**2 + 4*a - 6. Calculate -4*h(g) + 11*y(g).
67*g**2 + 2
Let a(s) = -7*s + 4. Suppose 0 = 5*r - r - 5*u - 121, 2*r - 73 = 5*u. Let n be 6/r - 46/(-8). Let q(z) = 8*z - 5. What is n*a(f) + 5*q(f)?
-2*f - 1
Let w(l) = l**2 + 4*l + 1. Suppose r - 2*k - 6 = 0, 33 = r - 3*r - 5*k. Let v(m) = -2*m**2 - 5*m - 2. Give r*w(d) - 3*v(d).
2*d**2 - d + 2
Let c(h) = -3*h. Let z(o) = -2*o. Let s be 104/(-32) - 9/12. Determine s*z(w) + 3*c(w).
-w
Let l(n) be the first derivative of -3*n**4/4 + 2*n - 18. Let d(m) = -12*m**3 + 9. Calculate 2*d(g) - 9*l(g).
3*g**3
Let d(h) = h - 1. Let j(a) = 2*a - 11. Let r(n) = -6*d(n) + j(n). Let b(i) = -9*i - 11. Give 6*b(w) - 13*r(w).
-2*w - 1
Let o(s) = s**3 + 5*s**2 + 2*s + 4. Let g(p) = p**3 + p**2 + p + 1. Determine -2*g(r) + o(r).
-r**3 + 3*r**2 + 2
Let k(z) = 3*z**3 - 2*z**2 - 2*z - 2. Let v(g) be the third derivative of -g**6/120 + g**5/60 + g**4/24 + g**3/6 + g**2. Calculate 3*k(s) + 6*v(s).
3*s**3
Let y(h) = -7*h**3 - h**2 - 6*h - 6. Let o(f) = 7 + f**2 + 6 - 8 + 6*f**3 + 5*f. Let w(c) = 6*o(c) + 5*y(c). Let a(g) = -2*g**2. Give -a(x) - 2*w(x).
-2*x**3
Let x(j) = j. Let o(v) = -8*v. Determine -o(a) + 8*x(a).
16*a
Let t(h) = -6*h**3 + 5*h**2 + 4*h - 2. Let w(q) = -17*q**3 + 14*q**2 + 11*q - 6. Give -11*t(o) + 4*w(o).
-2*o**3 + o**2 - 2
Let j(b) = -72*b**3 - 21*b + 30. Let f(g) = -36*g**3 - 11*g + 15. Let s(i) = -9*f(i) + 4*j(i). Let m(d) = 5*d**3 + 2*d - 2. Calculate 15*m(q) - 2*s(q).
3*q**3
Let c(n) be the second derivative of -5*n**4/12 + 5*n**3/6 - n**2 + 30*n. Let v(m) = -m + 2*m + 2*m**2 - 3*m**2 - 1. Calculate c(u) - 3*v(u).
-2*u**2 + 2*u + 1
Let v(n) = -96*n**3 - 5*n**2 - 5*n. Let g(p) = 912*p**3 + 48*p**2 + 48*p. Determine 5*g(y) + 48*v(y).
-48*y**3
Let k(i) = -5*i - 4. Let b(s) = s + 1. Calculate 12*b(u) + 3*k(u).
-3*u
Let m be (-3 - (-10)/4)*2. Let u(w) = 1 - 3*w + 6*w + 2*w. Let c(t) = -t. Suppose 6*k - 2*k - 2*g = -20, 5*g = 3*k + 29. What is k*c(s) + m*u(s)?
-2*s - 1
Let o(t) = -5*t**3 - 5*t**2 - 3*t + 1. Let k(b) = 15*b**3 + 14*b**2 + 8*b - 2. Calculate 3*k(q) + 8*o(q).
5*q**3 + 2*q**2 + 2
Let h(b) = -b**2 - b - 1. Let y(i) = 7*i**2 + 3*i + 4. What is -6*h(f) - y(f)?
-f**2 + 3*f + 2
Let s(a) = 4*a**3 + a**2 - 3*a - 2. Let b(w) be the second derivative of 17*w**5/20 + w**4/3 - 13*w**3/6 - 9*w**2/2 - 15*w. Determine 2*b(p) - 9*s(p).
-2*p**3 - p**2 + p
Let y(a) = -1. Let k(i) = 3*i - 1. What is -k(v) - 2*y(v)?
-3*v + 3
Let t(i) = -11*i**3 - 9*i**2 - 9*i - 37. Let v(r) = 5*r**3 + 4*r**2 + 4*r + 19. Calculate -4*t(k) - 9*v(k).
-k**3 - 23
Suppose -5*k + 2*k = -3. Let s(n) = -n + 1. Let v(r) = -16 + 2 + 5*r + 9 + 2*r**3. Calculate k*v(i) + 5*s(i).
2*i**3
Let g(j) = -2*j**2 + 5*j. Let q(m) = 3*m**2 - 6*m. Suppose -b = 3*b - 16. Let h = 28 - 23. Calculate b*q(x) + h*g(x).
2*x**2 + x
Suppose -2 - 6 = 4*p. Let v(x) = 4*x**2 - x - 1. Let d(u) = 21*u**2 - 4*u - 5. Give p*d(n) + 11*v(n).
2*n**2 - 3*n - 1
Let y(q) be the first derivative of 2*q - 1. Let a(r) = -r + 3. Let u be (6/4)/(4/48). Let d be (-4)/u + 48/(-27). Calculate d*a(t) + 3*y(t).
2*t
Let y(d) = 2*d**2 + 2*d - 2. Suppose -2*m = -2 - 2. Let i(c) = 0*c + 1 + c + 0*c - m*c. What is -3*i(j) - y(j)?
-2*j**2 + j - 1
Let s(h) = -32*h**2 - 10*h - 10. Let k(z) = -11*z**2 - 3*z - 3. Give 10*k(d) - 3*s(d).
-14*d**2
Let s(c) = c**2 + c - 1. Let t(k) = -2*k**3 + 5*k**2 + 4*k - 8. What is 6*s(b) - t(b)?
2*b**3 + b**2 + 2*b + 2
Let t be (3/2)/(-3)*4. Let y(k) = 15*k**2 + 11. Let d(g) be the second derivative of -g**4/4 - g**2 + 6*g - 3. Give t*y(u) - 11*d(u).
3*u**2
Let t(r) = r**3 - 18*r**2 - 18*r + 2. Let g(l) = -l**3 + 1. Let m(h) = -2*g(h) + t(h). Let q(a) = -a**2 - a. Calculate -m(z) + 18*q(z).
-3*z**3
Suppose 3*f - 6*f = 3*u - 6, 0 = 3*f + 2*u - 1. Let m(i) = 3*i**3 + 4*i**2 - 4*i + 4. Let l(k) = 2*k**3 + 3*k**2 - 3*k + 3. Calculate f*m(j) + 4*l(j).
-j**3
Let s(q) = 2*q - 3. Let w(i) = -i**2 + 3*i - 4. Calculate -3*s(r) + 2*w(r).
-2*r**2 + 1
Let i(g) = 8*g + 1. Let l(o) = -12*o - 2. Let h(t) = 7*i(t) + 5*l(t). Let z(b) = 2*b + 2. Give -3*h(u) - 5*z(u).
2*u - 1
Let j(q) be the second derivative of 7/6*q**3 + 0 + q**2 - 5*q. Let o(t) = 6*t + 2. Give 5*j(a) - 6*o(a).
-a - 2
Let a(x) = 2*x**2 + 4*x. Let b(s) = -4*s**2 - 9*s. Let v(p) = -4*p + 1. Let u be v(2). Let t = 8 - 11. Determine t*b(q) + u*a(q).
-2*q**2 - q
Let w(u) = -2*u - 2. Let m(c) = c**2 - 4*c - 4. Calculate -2*m(t) + 5*w(t).
-2*t**2 - 2*t - 2
Let l(j) = 3*j**3 - 4*j**2 - 2. Let p(a) = -4*a**3 + 5*a**2 + 2. Let i(b) = -6*b**3 + 2*b**2 - b. Let x be i(1). Determine x*l(h) - 4*p(h).
h**3 + 2
Let h(y) = 7*y**3 + 4*y**2 + 4. Suppose w + 2 = 1. Let c(o) = -12 - 4*o**3 + o**2 + 2 + 5*o**3 + 11. Calculate w*h(z) + 4*c(z).
-3*z**3
Let o(h) = -h. Let v(z) be the second derivative of z**3/6 + z. Let u(n) = -n**2 + 8*n - 9. Let w be u(6). Determine w*o(x) + 2*v(x).
-x
Let o(q) = 3*q + 2. Let d(i) = i. Let u be 15/(-4) - 1/4. Let k = -5 - u. Give k*o(l) + 4*d(l).
l - 2
Let b(q) = -10*q + 2. Let h(c) = -c. Calculate b(m) - h(m).
-9*m + 2
Let m(j) = -25*j + 3. Let v(c) = -8*c + 1. Give 2*m(q) - 7*v(q).
6*q - 1
Let c(k) = 4*k**3 - 6*k**2 + 6*k - 7. Let z(d) = d**3 - 2*d**2 + 2*d - 2. Suppose -2*w + 0 - 4 = 0. What is w*c(f) + 7*z(f)?
-f**3 - 2*f**2 + 2*f
Let p(y) = y + 1. Suppose 0*g = 2*g. Let c be (g + -1)*-5 - -1. Suppose 10 = 8*x + 2. Let j(s) = -2*s**2 - 6*s - 6. What is c*p(q) + x*j(q)?
-2*q**2
Let h be 2/(-6) - (-92)/6. Suppose -x + h = 2*x. Let i(l) be the second derivative of l**3/6 + l**2/2 + 2*l. Let t(m) = 2*m + 3. Give x*i(j) - 2*t(j).
j - 1
Let h(f) = -f**3 + 7*f**2 - 4*f + 4. Let g(t) = -t**3 - t + 1. Determine 4*g(r) - h(r).
-3*r**3 - 7*r**2
Let c(h) = 1. Let s(o) = -2*o + 6. Calculate 6*c(m) - s(m).
2*m
Let l(u) = 7*u**2 - u + 4. Let y be (1/(1/4))/2. Let z(m) = 3 + 6*m**y - 2*m - m + 2*m. Suppose 5*o - 5*i - 45 = 0, -4*o + 13 = 2*i + 1. Give o*z(r) - 4*l(r).
2*r**2 - r - 1
Suppose 6*z - 5 = -29. Let l(w) = -3*w + 4. Let a(m) be the third derivative of m**4/24 - m**3/6 + m**2. Determine z*a(d) - l(d).
-d
Let k(o) = 8 - 9*o**2 - 6 + 7. Let h(m) = 14*m**