 Calculate t*s(b) + 6*y(b).
-3*b**3
Let v(q) = 3*q + 2. Let m(w) = 5*w + 3. Let a(k) = -5*m(k) + 8*v(k). Let j(d) = 6*d - 3. What is a(r) + j(r)?
5*r - 2
Let a(u) be the third derivative of u**6/40 + 2*u**3/3 - 13*u**2 + u. Let b(k) = k**3 + 1. Calculate -5*a(f) + 20*b(f).
5*f**3
Let y(c) = -3*c + 7. Let k = 1037 - 1030. Let r(x) be the first derivative of -x**2 + 5*x - 1. Calculate k*r(b) - 5*y(b).
b
Let a(b) = 5*b**2 - 3*b + 9. Let x(p) = 9*p**2 - 6*p + 16. Calculate 11*a(n) - 6*x(n).
n**2 + 3*n + 3
Let u(l) = l. Let a(z) = -4*z + 4. Let f(n) = a(n) + 5*u(n). Let y(w) = w + 2. What is -4*f(t) + 9*y(t)?
5*t + 2
Let n(f) be the first derivative of 4*f**3/3 - f - 97. Let s(h) = h**2. Suppose 3*u = 10 + 8. Give u*s(x) - n(x).
2*x**2 + 1
Let z(w) = -4*w**2 - 75*w + 9. Let i(l) = 2*l**2 + 39*l - 5. What is 7*i(u) + 4*z(u)?
-2*u**2 - 27*u + 1
Let x(r) = 51*r + 3. Let k(m) = -m. Calculate 5*k(y) + x(y).
46*y + 3
Let w(q) = -4. Let v(p) = -p + 10. Give 4*v(s) + 4*w(s).
-4*s + 24
Let n(b) = b**3 - 3*b**2 - 3*b + 1. Suppose 3*m = 8*m + a + 21, m - a + 9 = 0. Let i(q) = -2*q**3 + 5*q**2 + 5*q - 2. What is m*n(d) - 3*i(d)?
d**3 + 1
Suppose -6*v - 11 = -5*r - 5*v, -2*v - 6 = -2*r. Let f(c) = -131*c**2 + 65*c**r + 24 - 3*c - 1 + 63*c**2. Let a(n) = n**2 + n - 8. What is 17*a(u) + 6*f(u)?
-u**2 - u + 2
Let t(j) = 0 - 12*j - 1 + j**2 + 0 + 7*j + 6*j. Let a(q) be the third derivative of -q**5/15 - 5*q**4/24 + 5*q**3/6 + 2*q**2. Determine a(s) + 5*t(s).
s**2
Let p(u) = -u + 2. Let c(t) = 3*t + 14. Let f = 221 + -220. Let m(g) = f*c(g) - 6*p(g). Let d(l) = 5*l + 1. Suppose -3*s - 6 = 9. Calculate s*d(v) + 3*m(v).
2*v + 1
Let r(h) = -8*h**3 - h**2 - 3*h + 1. Let p(x) = 10*x - 8. Let z be p(1). Let v(q) = 7*q**3 + 2*q - 1. Calculate z*r(l) + 3*v(l).
5*l**3 - 2*l**2 - 1
Let q(h) = -3*h - 2. Suppose -4*l - 1 = 7. Let n(i) = -4*i - 4. Let m(x) = -x + 4*x - 2*x - 6*x - 5. Let p(a) = 5*m(a) - 6*n(a). What is l*q(g) + 5*p(g)?
g - 1
Let g(c) = -80*c**2 - 13*c + 9. Let z(d) = -53*d**2 - 9*d + 6. Determine 5*g(w) - 7*z(w).
-29*w**2 - 2*w + 3
Suppose -16 = 4*o + 15*r - 10*r, 8 = -2*o + 2*r. Let t(l) = -l**2 - 6*l + 4. Let m(a) = -a + 1. Calculate o*m(b) + t(b).
-b**2 - 2*b
Let o = -30 - -24. Let l(v) = v - 1 - 8*v + 9 + 2*v. Let g(y) = -4*y + 7. Give o*l(w) + 7*g(w).
2*w + 1
Let m = -1 + 0. Let n(c) = -3*c**2 - 2. Let w(f) = -5*f. Let o(g) = -g. Let s(i) = -6*o(i) + w(i). Calculate m*n(h) - 2*s(h).
3*h**2 - 2*h + 2
Let s(r) = r**2 - 2*r + 4. Let z be 1 - (-2)/1 - -3. Let j(o) = 9*o - 6*o**2 - z*o + 0*o**2 - 21 + 7*o. Let b be 22/4*(6 + -4). Calculate b*s(f) + 2*j(f).
-f**2 - 2*f + 2
Let j(t) = -30*t**3 + 16*t**2 + 30. Let v(o) = 6*o**3 - 3*o**2 - 6. Determine -2*j(l) - 11*v(l).
-6*l**3 + l**2 + 6
Let f(i) = -7*i**3 - 5*i - 3. Suppose 0 = -2*a + 2*b + 6, a + b = 5. Let h(y) = 3*y**3 + 2*y + 1. Calculate a*f(o) + 9*h(o).
-o**3 - 2*o - 3
Let c(z) = 11*z - 17. Let k(t) be the first derivative of 5*t**2/2 - 8*t - 54. What is -6*c(s) + 13*k(s)?
-s - 2
Let h(v) = -7*v**3 - 3*v**2 + v - 32. Let g(w) = 5*w**3 - w + 1. Calculate -g(y) - h(y).
2*y**3 + 3*y**2 + 31
Let u(j) = -j. Let g(b) = -43*b + 1. Give g(v) - 5*u(v).
-38*v + 1
Let p(s) = 3. Let q(w) = -537*w**2 - 27. Determine 9*p(d) + q(d).
-537*d**2
Let y(j) = -39*j + 27. Let l(x) = -3*x + 2. Let p(h) = 27*l(h) - 2*y(h). Let v(t) = t - 1. Give p(k) + 4*v(k).
k - 4
Let s(h) = h**3 + 6*h**2 - 17*h - 10. Let x be s(-8). Let d(y) = y - 1. Let v(q) be the first derivative of 3*q**2 - 6*q - 3. Determine x*v(o) + 11*d(o).
-o + 1
Let m(g) = -8*g**3 + 17*g**2 - 17*g. Let k(x) = -x**3 + 2*x**2 - 12*x - 2. Let f(b) = -5*b - 1. Let n(r) = 6*f(r) - 3*k(r). Determine 6*m(j) + 17*n(j).
3*j**3
Let t be 0 - 0 - (-60)/5. Let s(g) be the third derivative of g**4/24 - 15*g**2. Let a(q) = 16*q. Determine t*s(l) - a(l).
-4*l
Let b(t) = -6*t - 1. Let x(n) = 17*n + 4. Let s(q) = -q**3 + 7*q**2 - 11. Let k be s(7). What is k*b(y) - 4*x(y)?
-2*y - 5
Let d(s) = 0*s**2 + 13 + 1 + 0*s**2 - 14*s - 10*s**2. Let c(t) = t**2 + t - 1. Determine 12*c(b) + d(b).
2*b**2 - 2*b + 2
Let w(i) = 119*i**3 - 17*i**2. Let o(h) = -34*h**3 + 5*h**2. Let d(l) = -l**3 + 19*l**2 + 26*l - 103. Let j be d(20). What is j*o(n) + 5*w(n)?
17*n**3
Let u(n) = -4*n**3 - 27*n**2 - 6*n + 5. Let g(i) = -2*i**3 - i**2 - i + 1. Give -3*g(y) + u(y).
2*y**3 - 24*y**2 - 3*y + 2
Let r(u) = 2 + 7*u + 0*u + 3. Suppose -5*l = -10*l + 10, -2*l - 8 = 2*t. Let x(a) be the first derivative of 4*a**2 + 6*a + 3. What is t*r(m) + 5*x(m)?
-2*m
Let x(o) = -22*o + 9. Let r(q) = -22*q + 7. Calculate -4*r(u) + 3*x(u).
22*u - 1
Let r(c) = 12*c - 18. Let d(p) = 24*p - 45. Give 6*d(w) - 14*r(w).
-24*w - 18
Let p(l) = -l + 2. Let x(q) = 4*q - 11. Let d be (-2)/9 + (-20)/(-9). Let w(g) = 16*g - 5. Let v be w(1). Give d*x(z) + v*p(z).
-3*z
Let w(r) be the first derivative of r**4/4 + r**3/3 - r**2/2 + r - 2. Let a = -188 + 187. Let u(s) = -4*s**3 - s**2 + 4*s - 2. Determine a*u(x) - 2*w(x).
2*x**3 - x**2 - 2*x
Let o = -17 + 26. Suppose o = -7*k + 4*k. Let d(x) = -3*x + 7. Let g(w) be the second derivative of -w**3/6 + 3*w**2/2 + 47*w + 1. Determine k*d(f) + 7*g(f).
2*f
Let x(w) = 26 + w - 26. Let s(h) = h. Let z be s(-3). Let b(t) = 2*t. Determine z*x(m) + 2*b(m).
m
Let y(p) = -9*p**2 - 2*p - 7. Let l(x) = -37*x**2 - 8*x - 26. Give -2*l(c) + 9*y(c).
-7*c**2 - 2*c - 11
Let w(b) = -13*b**3 - 23*b**2 - 24*b - 20. Let p(l) = 3*l**3 + 5*l**2 + 6*l + 5. Give 9*p(i) + 2*w(i).
i**3 - i**2 + 6*i + 5
Let k(d) be the first derivative of -4*d**3/3 + 3*d - 1. Suppose -8*u + 9 = -15. Let f(a) = -20*a**2 + 16. Give u*f(y) - 16*k(y).
4*y**2
Let x(f) = 2 + 4*f**2 + 8*f**2 - 7 + 12*f**2 + 2*f - 15*f**2. Let t(z) = 5*z**2 + z - 3. Calculate -11*t(p) + 6*x(p).
-p**2 + p + 3
Let i(d) = -6*d**3 + 4*d - 12. Let f(q) = 2*q**3 - q + 4. Let j = -2039 - -2046. What is j*f(a) + 2*i(a)?
2*a**3 + a + 4
Let j(b) = 5*b - 5. Let s(v) be the third derivative of v**4/6 - 2*v**3/3 + v**2. Suppose -16*x - 6 = -14*x. Determine x*j(f) + 4*s(f).
f - 1
Let s(v) = -v**3 - v**2 + 1. Let d(x) = 2*x**2 + x + 1. Let b(k) = -2*k**3 - 9*k**2 - 1. Let u(z) = b(z) + 2*d(z). What is s(p) - u(p)?
p**3 + 4*p**2 - 2*p
Let p(d) = -5*d - 2. Suppose 0 = -0*z + 4*z - 20. Let t(v) = z*v - 127 + 67 + 61. Determine 2*p(r) + 3*t(r).
5*r - 1
Let w(b) be the first derivative of -9*b**2/2 + 2. Let i(k) = -22*k. Let g be 2/8 + (-3)/((-60)/235). Give g*w(p) - 5*i(p).
2*p
Let a(b) = 5*b + 13. Let c(m) = -24*m - 64. Determine -14*a(g) - 3*c(g).
2*g + 10
Let u(x) = 15*x**2 + 21*x. Let y(o) = 3*o**2 + 10*o - 6. Let r(t) = 6*t**2 + 23*t - 15. Let j(c) = 2*r(c) - 5*y(c). What is 21*j(d) + 4*u(d)?
-3*d**2
Let i(z) = -3*z + 5. Let v be (-33)/(-9)*(-2 - 1). Suppose -3*m = 22 + 35. Let o = -15 - m. Let j(c) = -c + 2. Calculate o*i(w) + v*j(w).
-w - 2
Let t(m) = -3*m**2 - 2. Let q be -3*(-5*(2 + -1))/(-3). Let s(i) = -7*i**2 + i - 4. Determine q*t(x) + 2*s(x).
x**2 + 2*x + 2
Let f(v) = v**3 + 4*v**2 + 4*v + 2. Let a = 647 - 649. Let p(r) = r**3 + r**2 + r + 1. Let t be -2*2/4 - -2. Give a*p(m) + t*f(m).
-m**3 + 2*m**2 + 2*m
Let w(k) = k**2 + k + 3. Let l(c) = 74*c**2 - 2*c - 5. What is -l(d) - w(d)?
-75*d**2 + d + 2
Let v(a) = 20*a**2 - 11. Let r(f) = -20*f**2 + 13. Calculate 4*r(k) + 5*v(k).
20*k**2 - 3
Let n(w) = -3*w + 1. Let k(x) = -3*x + 1. Let m(f) = 5*k(f) - 6*n(f). Suppose 0 = -q + t + 5, 5 = 3*q - 2*t - 6. Let y(b) = b. Give q*m(u) - 2*y(u).
u - 1
Let l(t) = -52*t**2 + 3*t - 3. Let y(d) = 104*d**2 - 7*d + 7. Give -14*l(p) - 6*y(p).
104*p**2
Let u(m) = -2*m + 6. Let b(s) = -47*s + 4. Let r(i) = -17*i + 1. Let d(n) = 4*b(n) - 11*r(n). Calculate 7*d(l) - 6*u(l).
5*l - 1
Suppose 2*w - 4*w = -5*w. Suppose w = -m - 3*m - 24. Let l(g) = 4*g**2 - 7. Suppose 4*z = -28 - 0. Let q(a) = -3*a**2 + 6. Give m*l(y) + z*q(y).
-3*y**2
Let w(d) be the second derivative of -1/2*d**2 - 17/12*d**4 + 5*d - 3/2*d**3 + 0. Let i(r) = -2*r**2 - 3*r**2 + r**2 + 0*r**2 - 2*r. Calculate 9*i(x) - 2*w(x).
-2*x**2 + 2
Let p(d) = -d. Let h(r) = 36*r + 1. What is h(a) + 4*p(a)?
32*a + 1
Let w be 1 - (-1)/2*-12. Let v(m) = 11*m**2 - m + 9. Let o(p) = -17*p**2 + 2*p - 14. Determine w*o(u) - 8*v(u).
-3*u**2 - 2*u - 2
Let h(n) = 3 - 22 + 18. Let a(l) = -6*l + 12. Calculate -a(m) - 12*h(m).
6*m
Let z(a) = -a. Let b(w)