.
-2*w**3 - 2
Let k(f) be the second derivative of f**3/6 - 4*f. Let o be k(6). Let g(c) = -9*c - 15. Let r(s) = 4*s + 7. Give o*g(z) + 13*r(z).
-2*z + 1
Let t(p) = 3*p**2 + 5*p**2 + 11*p + 7*p**2 - p**2. Let x(u) = -3*u**2 - 2*u. Give 2*t(d) + 11*x(d).
-5*d**2
Let u(n) = n**2 + 2*n - 2. Let a(l) = -l**2 - l. Let c be (-8)/4 - (1 - 2). Let y(d) = d - 7. Let r be y(7). Suppose r = -3*m - 2 - 4. Give c*u(k) + m*a(k).
k**2 + 2
Let w(o) = -7*o**3 - 5*o**2 + 5*o + 69. Let p(j) = -3*j**3 - 2*j**2 + 2*j + 35. Calculate 5*p(a) - 2*w(a).
-a**3 + 37
Let c(w) = 2 - 3*w**2 - 3*w**2 - 3*w + 4*w**2. Let i(k) = k**2 - 1. Let r(n) = n**2 - n - 1. Let y(x) = -3*i(x) + 2*r(x). What is 2*c(v) - 3*y(v)?
-v**2 + 1
Let f(w) = 10*w**2 + 7*w - 13. Let z(g) = 7*g**2 + 5*g - 9. Calculate -5*f(x) + 7*z(x).
-x**2 + 2
Let h(c) = 3*c**3 - 3*c**2 - 2*c + 2. Let m(d) = -16*d**3 + 15*d**2 + 11*d - 11. Suppose -6*k + 7*k + 11 = 0. Determine k*h(w) - 2*m(w).
-w**3 + 3*w**2
Let n(a) = a**3 - a + 1. Let k(v) = -10*v**3 + 6*v - 6. Give -k(f) - 6*n(f).
4*f**3
Suppose 5*t + 25 - 5 = 0. Let d(b) = -14*b**3 + 5*b**2 + 8*b - 11. Let k(q) = 5*q**3 - 2*q**2 - 3*q + 4. Determine t*d(i) - 11*k(i).
i**3 + 2*i**2 + i
Let g(o) be the first derivative of -2*o + 3/2*o**2 - 3 + 2/3*o**3 - 5/4*o**4. Let i(w) = 14*w**3 - 5*w**2 - 8*w + 5. Give -8*g(p) - 3*i(p).
-2*p**3 - p**2 + 1
Let r(q) = -3*q + 0 + 1 + 0 + 2*q. Let n(i) = 5*i + i + i - 3. Determine -n(k) - 5*r(k).
-2*k - 2
Let r(b) = -2*b + 4 + 0 + b**3 - 4 - 1. Let a(s) = -3*s**3 + 5*s + 2. What is -2*a(v) - 5*r(v)?
v**3 + 1
Let p(d) be the second derivative of -d**4/6 + d**3/3 + d**2/2 + 8*d. Let x(g) = 4*g**2 - 4*g - 1. Determine -5*p(n) - 2*x(n).
2*n**2 - 2*n - 3
Let u(r) = 9*r - 3. Let v(a) be the first derivative of a**5/30 - a**4/24 - 2*a**3 - 4. Let j(o) be the third derivative of v(o). Determine 7*j(i) - 3*u(i).
i + 2
Let c(h) = h**3 - h**2 - h - 1. Let q be (2 - -1)*(-1)/3. Let s(v) = 5*v**3 - 4*v**2 - 6*v - 6. Let u be (-87)/(-15) - 1/(-5). Calculate q*s(i) + u*c(i).
i**3 - 2*i**2
Let f(d) = -6*d**2 - 9*d + 5. Let g(u) = -7*u**2 - 10*u + 6. Give 6*f(i) - 5*g(i).
-i**2 - 4*i
Let z be ((-21)/(-9) - 3)*-3. Let f(x) = -x**3 - 5*x. Let k(w) = -2*w. Determine z*f(a) - 5*k(a).
-2*a**3
Let k(t) = 1. Let z(v) = v - 6. Suppose -3*h + h + 12 = 0. Calculate h*k(s) + z(s).
s
Let x(y) = 2*y - 6*y - 2*y. Suppose 0 = i - 0*z - 4*z + 15, -4*i + 5 = -3*z. Let l(p) = -p. Determine i*l(b) - x(b).
b
Let r(s) = -7*s + 11. Let j(u) = -4*u + 6. Let i(a) = a**2 + 4*a - 10. Let z be i(-5). Calculate z*j(c) + 3*r(c).
-c + 3
Let z(o) = 2 + 0*o + 1 - 5*o. Let m(c) = -1. Let b = 3 + -2. Let u(q) = -2*q - 5. Let j(g) = b*u(g) - 6*m(g). Calculate 8*j(i) - 3*z(i).
-i - 1
Let r(v) be the first derivative of -5*v**3/3 + 9. Let t(g) = 0 - 7*g**2 + g + 0. Let i be t(1). Let n(u) = 9*u**2. Determine i*n(z) - 11*r(z).
z**2
Let k(q) be the first derivative of 3*q**2 - 3*q + 1. Let u(g) be the second derivative of -7*g**3/6 + 2*g**2 + 3*g. What is -5*k(i) - 4*u(i)?
-2*i - 1
Let o(c) = -9*c**3 - 4*c**2 - 5*c + 5. Let x(d) = d**2 - 7*d - 5. Let w be x(7). Let u(h) = -22*h**3 - 10*h**2 - 12*h + 12. Determine w*u(j) + 12*o(j).
2*j**3 + 2*j**2
Let z(c) = -10*c - 12. Let i(b) = -7*b - 8. Determine 8*i(u) - 5*z(u).
-6*u - 4
Let a(r) = -4*r**2 - 7*r + 4. Let n(s) = s. Give -a(q) - 6*n(q).
4*q**2 + q - 4
Let y(m) = -4*m**2 + 6*m**2 - 6 + 0*m + m**3 - 7*m + 6*m**2. Let a(z) = 2*z**3 + 17*z**2 - 15*z - 13. Suppose -2*k + 3*k = 13. What is k*y(b) - 6*a(b)?
b**3 + 2*b**2 - b
Let o(n) = -n**2 - 1. Suppose 3*g + 6*g - 9 = 0. Let p(a) = 4*a**2 - 2*a + 5. Calculate g*p(m) + 3*o(m).
m**2 - 2*m + 2
Let b(r) = -r**2 + r - 5. Let n(c) = -1. Give b(k) - 5*n(k).
-k**2 + k
Let z be (0/(-3) + -1)/1. Let v(y) = 6*y**3 - 8*y**2 - 10*y + 6. Let q(p) = -p**3 + p**2 + p - 1. Calculate z*v(j) - 8*q(j).
2*j**3 + 2*j + 2
Let i(b) = -4*b**2 - 2. Let h(k) = -k**2 + k - 1. Suppose -s + 2*s = 2. Suppose 0*m + m = s. Calculate m*h(g) - i(g).
2*g**2 + 2*g
Let v(o) = -2*o + 5. Let i(w) = 4*w - 9. Determine 6*i(a) + 11*v(a).
2*a + 1
Let h(r) = -7*r - 2. Let k(n) = 15*n + 5. Determine -9*h(a) - 4*k(a).
3*a - 2
Suppose -4*q = -5*z - 3*q + 52, -4*z - 4*q + 56 = 0. Let c(i) = 129*i + z*i**3 - 13*i**2 - 129*i. Let u(a) = 5*a**3 - 6*a**2. Calculate 6*c(b) - 13*u(b).
b**3
Let y(w) = 7*w - 6. Let z(k) = 2*k - 3. Let g be z(3). Let q(o) = -g - 3*o - 3*o + 4 + 4. Calculate 6*q(x) + 5*y(x).
-x
Let g(k) = 12*k**3 - 4*k**2 - 4. Let u(x) = -x**3 + x**2 + 1. Calculate -g(z) - 4*u(z).
-8*z**3
Let y(m) be the third derivative of -m**9/8640 + m**5/20 + 5*m**2. Let p(q) be the third derivative of y(q). Let j(o) = -o**3. Give 6*j(g) - p(g).
g**3
Let f(g) = 5*g. Let k(z) = -16*z + 1. Let m = 11 - 4. What is m*f(y) + 2*k(y)?
3*y + 2
Let t(z) = -24*z**3 + 33*z**2. Let v(i) = -3*i**3 + 4*i**2. Suppose 3*f + 0 + 13 = m, -2 = -2*m. Give f*t(p) + 33*v(p).
-3*p**3
Let r(l) = 6*l**2 + 3. Let a = 3 + -8. Let w(x) be the first derivative of -4*x**3/3 - 2*x - 3. Give a*r(p) - 7*w(p).
-2*p**2 - 1
Let a(w) = 4*w**2 + 6*w. Let u be (-3)/2 + (-117)/(-18). Let l(m) = -5*m**2 + 54 - 54 - 7*m. What is u*l(b) + 6*a(b)?
-b**2 + b
Let c(q) be the third derivative of 0*q - q**2 - 1/15*q**5 + 7/24*q**4 - 1/6*q**3 + 0. Let v(w) = -6*w**2 + 10*w - 1. Determine 7*c(j) - 5*v(j).
2*j**2 - j - 2
Let a(j) = 5*j - 2. Let o(i) = -i. Determine -a(c) - 6*o(c).
c + 2
Let u be (7 + (-16)/(-8))*2/(-3). Let t(k) = -k**2 - k - 1. Let d(s) = 7*s**2 + 5*s + 4. Calculate u*t(n) - d(n).
-n**2 + n + 2
Let d(p) = 4*p + 27. Let w(m) = 2*m + 13. Determine 2*d(h) - 5*w(h).
-2*h - 11
Let k(m) = 31 - 4*m + 29 - 56. Let o(x) = 2*x - 2. What is -6*k(p) - 11*o(p)?
2*p - 2
Let j(n) = -27*n**2 + 3*n + 3. Let t(c) = -80*c**2 + 10*c + 10. Calculate -10*j(s) + 3*t(s).
30*s**2
Let k(m) = -9*m**3 + 4*m + 4. Let s(b) = -364*b + 184*b + 183*b - 8*b**3 + 3. Calculate -3*k(g) + 4*s(g).
-5*g**3
Let p(w) = w - 1. Let r(m) = 2*m + 12. Let z(l) = 2*l. Let j(b) = -r(b) + 4*z(b). What is j(q) - 12*p(q)?
-6*q
Let s(j) = j - 1. Let f(a) = a - 1. Suppose 2*y = x - 5, 5*y = 4*x - 15 + 1. Give x*f(t) - 2*s(t).
-t + 1
Let k(s) = -8*s + 13. Let f(b) = 3*b - 6. Determine 15*f(d) + 6*k(d).
-3*d - 12
Let a(q) = q**2 - 4*q - 1. Let p be a(2). Let o(z) = -3*z. Let m(i) = -i. What is p*m(u) + o(u)?
2*u
Let v(y) = -55*y**3 - 3*y - y + 58*y**3 + y**2. Let r(d) = -7*d**3 - d**2 + 9*d. Calculate 2*r(t) + 5*v(t).
t**3 + 3*t**2 - 2*t
Let t(f) be the first derivative of -f**2/2 - f + 20. Let k(n) = -6*n - 5. What is 2*k(y) - 10*t(y)?
-2*y
Let l = -3 - -2. Let u(t) be the first derivative of 5*t**2/2 + 4*t - 60. Let d(a) = -a - 1. Determine l*u(y) - 4*d(y).
-y
Suppose 0 = -5*t + 2*o - 20, -5*t = -3*o - 0*o + 20. Let a(s) = 2*s**3 + 3*s**2 - 4*s + 3. Let m(g) = 2*g**3 + 4*g**2 - 5*g + 4. Give t*a(x) + 3*m(x).
-2*x**3 + x
Let t(n) = -n**2 - n + 1. Let f = 15 + -16. Let a(z) = 7*z**2 + 4*z - 6. Determine f*a(s) - 6*t(s).
-s**2 + 2*s
Suppose 11 = 6*u - 7. Suppose 5*m = -10 - 0. Let q(d) = 15*d - 7. Let v(g) = 7*g - 3. Let c(h) = -3*q(h) + 7*v(h). Let t(l) = 5*l. Determine m*t(w) + u*c(w).
2*w
Let t(q) = -10*q**3 - 6*q**2 - 4*q. Let j(s) = -9*s**3 - 7*s**2 - 5*s. Calculate -4*j(o) + 5*t(o).
-14*o**3 - 2*o**2
Let g(f) = 2*f**2 - 2*f + 2. Suppose -x = -2*p + 8, 4*p + 2*x - 3*x - 20 = 0. Let q(v) = 6*v**2 + p*v**2 + 6 - 6*v - 7*v**2. Give 8*g(y) - 3*q(y).
y**2 + 2*y - 2
Let d(q) = 126*q**2 + 99*q. Let o(z) = 5*z**2 + 4*z. Calculate 4*d(t) - 99*o(t).
9*t**2
Let s(z) = -z**2 + 2*z + 1. Let c(d) = -d**2 + 3*d + 1. Let i(f) = 6*f**2. Let x be i(1). Let g(v) = -v**2 - 9*v - 12. Let p be g(-8). Give p*c(y) + x*s(y).
-2*y**2 + 2
Suppose -15 = 4*x - x. Let m(a) = -a - 3. Let j(w) = w - 1. Let c(d) = j(d) - m(d). Let r(i) = 3*i + 3. Determine x*r(u) + 8*c(u).
u + 1
Let p(v) = -8*v**2 + 5*v + 8. Let z(f) be the third derivative of -f**5/60 + f**3/6 - 17*f**2. Give p(b) - 6*z(b).
-2*b**2 + 5*b + 2
Let u(i) = -14*i + 7. Let l(h) = -1. Give 6*l(b) + u(b).
-14*b + 1
Let j(p) = p**2. Let s(c) = -c**2. Suppose -4*a + 2 + 2 = 0, 3*a + 27 = -5*d. Give d*j(k) - 2*s(k).
-4*k**2
Suppose -2*b - 18 = 5*h, 0 = -4*b - h - 0*h. Let u(d) = -5*d + 3. Let m(p) = p - 1. Let t = 22 + -18. Calculate b*u(x) + t*m(x).
-x - 1
Let w(u) = -7*u**3 - 6*u + 6. Let z