 - 1
Let k(s) = -883*s**3 - 12*s**2 - 12*s + 6. Let d(z) = 897130*z**3 + 12194*z**2 + 12194*z - 6097. Determine -6*d(r) - 6097*k(r).
871*r**3
Let h = -18 + 14. Let d be ((-4)/(-2))/(h/(-6)). Let t be d/(-3 + 27/6). Let w(r) = 3*r**3 - 2. Let u(s) = -15*s**3 + 11. Determine t*u(g) + 11*w(g).
3*g**3
Let w(c) be the first derivative of c**2 - 2*c + 79. Let a(l) = l - 1. Suppose -5*j = -2*j + n + 18, 2*j + 20 = 2*n. Give j*a(s) + 4*w(s).
s - 1
Let b(h) be the second derivative of -h**4/2 + 5*h**3/6 + 3*h**2/2 - 120*h. Let q(s) = 7*s**2 - 6*s - 4. What is -6*b(p) - 5*q(p)?
p**2 + 2
Let i(t) = -t + 2. Let y(r) = 5*r - 69. Let a be y(11). Let m(w) = 4*w - 7. What is a*i(o) - 4*m(o)?
-2*o
Let u(v) = -11*v**2 + 8*v - 8. Let t(i) = -40 - 5*i**2 + 5*i - 2*i**2 + 35. What is 8*t(m) - 5*u(m)?
-m**2
Let w be (2/4)/(-4 - (-84)/24). Let j(k) = -k**2 - k - 1. Let v(o) = -2*o**3 - 3*o**2 + 2*o - 3. Give w*v(q) + 3*j(q).
2*q**3 - 5*q
Let b(q) = 9*q + q + 2*q - 11*q. Let i(n) = 4*n**2 - 6*n - 1. Give -5*b(o) - i(o).
-4*o**2 + o + 1
Suppose 18*n - 20*n + 4*t + 14 = 0, 2*n - 3*t = 11. Let u(y) = 14*y. Let m(o) = -o. What is n*u(b) + 6*m(b)?
8*b
Let s(j) = -4*j - 2. Let l(c) = -102*c + 6. Calculate -l(r) - 2*s(r).
110*r - 2
Let t(i) = i**3 + i**2. Suppose -u = -5*u - 4. Let p(o) = 6*o**3 + 5*o**2. Suppose h - 43 + 34 = -2*a, 4*a = 3*h + 23. Calculate a*t(v) + u*p(v).
-v**3
Let h(v) = 7*v**2 - 6*v. Let n be (20/(-40))/(1 + 13/(-12)). Let t(b) = 6*b**2 - 5*b. What is n*t(c) - 5*h(c)?
c**2
Let a(c) = -26*c**2 + 10*c - 1. Let r(k) = 5*k**2 - 2*k. Suppose -4*q = 12*i - 16*i - 12, -q + 5*i = -23. What is q*a(u) - 11*r(u)?
-3*u**2 + 2*u + 2
Let d(a) = 25*a + 8. Let i(z) = 50*z + 17. What is -13*d(c) + 6*i(c)?
-25*c - 2
Let f(j) be the third derivative of j**6/40 + j**5/20 + j**4/24 + j**3/6 + 244*j**2. Let q(c) = -6*c**3 - 5*c**2 - 2*c - 2. Give 5*f(u) + 3*q(u).
-3*u**3 - u - 1
Let q(a) = -a**2 - a - 1. Let i(n) = 12*n**2 + 3*n + 3. Let h(c) = c**2 - 2*c + 2. Let m be h(1). Calculate m*i(u) + 3*q(u).
9*u**2
Let o(s) = -9*s**3 + s**2 + 7*s - 20. Let t(i) = 3*i**3 - 2*i + 7. Determine -2*o(z) - 7*t(z).
-3*z**3 - 2*z**2 - 9
Let n(c) = -51*c**3 - 21*c**2. Let p = -270 - -122. Let f = p + 152. Let b(h) = -5*h**3 - 2*h**2. Give f*n(m) - 42*b(m).
6*m**3
Let k be (-2)/16 + 1/(16/(-78)). Let j(v) = 2*v - 11. Let l(q) = -3*q + 11. Give k*j(c) - 4*l(c).
2*c + 11
Let b(w) be the second derivative of -w**5/10 - 5*w**3/6 - 5*w**2/2 + 2*w - 7. Let n(j) = -3*j**3 - 9*j - 9. Determine -9*b(f) + 5*n(f).
3*f**3
Let m(c) = 4*c**2 + 2*c + 3. Let f(n) = n**2 - n - 3. What is 2*f(g) + m(g)?
6*g**2 - 3
Let f(g) = -4*g**2 - 3. Let q = -1 + -6. Let l = -1593 + 1588. Let w(b) = -16*b**2 + 6. Let x(z) = z**2 - 1. Let u(m) = -w(m) - 10*x(m). Give l*u(h) + q*f(h).
-2*h**2 + 1
Let j(o) = o**2 - o. Let v(p) = p**2 + 10*p + 16. Let h be v(-9). Suppose 30 = -h*s + 12*s. Let z(u) = 5*u**2 - 5*u. What is s*j(n) - z(n)?
n**2 - n
Let g(p) = 20*p**3 - 7*p**2 + 7*p - 10. Suppose 3*x + 4 = 5*k, 14*k - 17 = -x + 12*k. Let l(t) = -13*t**3 + 5*t**2 - 5*t + 7. Give x*l(b) + 5*g(b).
9*b**3 - 1
Let f(g) = -6*g + 71. Let n(j) = -7*j + 72. Give -6*f(t) + 5*n(t).
t - 66
Let h be (-27)/(-6)*64/144. Let f(c) = 0*c - 5 + c + 3. Let a(l) be the first derivative of l - 1. Give h*f(k) + 5*a(k).
2*k + 1
Let i be (-135)/3 + 2 + -4. Let k = -43 - i. Let c(w) = 2*w. Let b(n) = 2*n - 1. Calculate k*b(q) - 5*c(q).
-2*q - 4
Let z(f) = -8*f + 123. Let n be z(14). Let j(c) = 13*c + 9. Let x(v) = -46*v - 25. Let a(g) = -9*g - 5. Let i(o) = 11*a(o) - 2*x(o). Determine n*i(u) + 6*j(u).
u - 1
Let z(m) = 6*m**3 + m**2 - 3*m + 1. Let r(k) = k**3 + 4*k**2 - 2*k - 1. Let s(h) = -r(h) + z(h). Let t(b) = 9*b**3 - 5*b**2 - b + 3. Give -5*s(g) + 3*t(g).
2*g**3 + 2*g - 1
Let r(a) = 8*a**2 + 4*a + 6. Suppose -24*t + 20*t + 4 = 0. Let o(j) = j**2 + j + 1. What is t*r(s) - 6*o(s)?
2*s**2 - 2*s
Let i(v) = 9*v + 3. Let y(j) = -2*j - 1. Let d(k) = -i(k) - 4*y(k). Let f(r) = r - 2. Give -7*d(h) - 5*f(h).
2*h + 3
Suppose 8*t = -7 + 79. Let v = t + -10. Let k(z) = -7*z**3 - 6*z**2 + 7*z - 8. Let o(x) = x**3 + x**2 - x + 1. Calculate v*k(u) - 6*o(u).
u**3 - u + 2
Let k(j) = -5*j - 8. Let r(y) = 2*y - 7. Suppose 3 = 3*h - 4*v, 2*h - 3*v = 3*h - 1. Let m(u) = -u. Let d(b) = h*r(b) + 6*m(b). Calculate 6*d(l) - 5*k(l).
l - 2
Let r(n) = 2*n - 4. Let k be -12*(-6)/(-42)*7/(-2). Let b(v) = v - 1. Calculate k*b(q) - 2*r(q).
2*q + 2
Let f(h) = -7*h**3 + 91*h**2 - 10. Let o(v) = -v**3 - 5. Determine -f(g) + 2*o(g).
5*g**3 - 91*g**2
Let w(j) = -5 + 20*j - 21*j**2 + 19*j**2 - 15 + 15*j**3 + 22*j**2. Let a(k) = -k**3 - k**2 - k + 1. Calculate 20*a(y) + w(y).
-5*y**3
Let p(o) = -3*o**2 + o - 61. Let q(w) = 1. What is p(d) + 4*q(d)?
-3*d**2 + d - 57
Let x(b) = b**2 - 3*b - 5. Let r(v) = -v**2 + 3*v + 5. Let t(m) = -3*r(m) - 2*x(m). Let f(i) = -20*i**2 + 38*i**2 + 6 + 3*i - 19*i**2. What is 4*f(q) + 5*t(q)?
q**2 - 3*q - 1
Let v(d) = -21*d**2 - 8*d. Let t(p) = -22*p**2 - 16*p. Determine -3*t(o) + 4*v(o).
-18*o**2 + 16*o
Let j(y) = -28*y + 3. Let o(q) = 83*q - 9. Determine -17*j(d) - 6*o(d).
-22*d + 3
Let y(w) = 6*w**3 + 6*w. Let n(a) = -a**3 - a - 1. What is 4*n(q) + y(q)?
2*q**3 + 2*q - 4
Let h(f) = 2*f**2 - 3*f. Let g(l) be the third derivative of l**5/20 - l**4/6 - 711*l**2. Give -3*g(i) + 4*h(i).
-i**2
Let g(m) = 4*m - 135. Let b(h) = -3*h + 140. Determine 5*b(w) + 4*g(w).
w + 160
Let w(m) = -116*m**2 + 72*m + 36. Let o(h) = 2*h + 1. Give -144*o(n) + 4*w(n).
-464*n**2
Let t(d) = 32*d - 104. Let a(f) = 10*f - 33. Let p(m) = -10*a(m) + 3*t(m). Let l(w) = -w + 6. Calculate 10*l(z) - 3*p(z).
2*z + 6
Let q(y) = -2*y + 8. Let p(a) = 7 - 24 - 6*a + 41. Determine 5*p(g) - 14*q(g).
-2*g + 8
Let o(n) = -9*n + 3. Let w(m) be the second derivative of -m**2/2 + m + 3. Determine -o(d) - 4*w(d).
9*d + 1
Let z(g) = -1. Let r(p) = -33*p + 4. Determine -r(u) - 2*z(u).
33*u - 2
Let b(j) = -3*j**2 + 4*j + 6. Let c(w) = 6*w + 8. Let f = -42 - -39. Let o(g) = -g**2 - 7*g - 9. Let z(n) = f*o(n) - 4*c(n). Calculate -3*b(u) - 4*z(u).
-3*u**2 + 2
Let z(i) = -17 - 13*i + 39 + 12*i**2 - 13 - 7. Let n(d) = -d**2. Let r(p) = -n(p) + z(p). Let q(s) = -7*s**2 + 7*s - 1. What is -11*q(c) - 6*r(c)?
-c**2 + c - 1
Let z(t) = -4*t - 14. Let n(y) = 8*y + 30. Let w(j) = 4*n(j) + 9*z(j). Let o(r) = -4*r - 5. Suppose 0 = -0*l - 6*l + 36. Calculate l*o(s) - 5*w(s).
-4*s
Let d(r) = -17770 - 85*r + 17770. Let n(b) = -b. Give -d(s) + 102*n(s).
-17*s
Let y(d) = 9*d + 1. Let z(k) = 2*k**2 + k. Let b be z(-2). Let i(p) = -384*p + 758*p - 382*p - 1. What is b*y(v) + 7*i(v)?
-2*v - 1
Let n(u) be the first derivative of -u**3/3 + 3*u**2/2 + u - 72. Let p(a) = -2*a**2 + 5*a + 2. Calculate 7*n(x) - 4*p(x).
x**2 + x - 1
Let f(c) = -c**3 + 5 + c**2 + 2 + 2*c**2 - 4. Let w(d) be the first derivative of -d**4 + 14*d**3/3 + 14*d - 4. Determine -14*f(i) + 3*w(i).
2*i**3
Let h(d) = -5*d**3 - d**2 - 1. Suppose 21*t = 2*z + 16*t + 23, -4*t + 15 = -5*z. Let g(o) = o**2 + 1. Calculate z*h(c) + g(c).
-5*c**3
Let x(i) = 5*i**3 - 7*i**2 + 9*i - 9. Let n = 248 + -234. Let f(p) = -2*p**3 + 3*p**2 - 4*p + 4. What is n*f(t) + 6*x(t)?
2*t**3 - 2*t + 2
Suppose -2*r - 5 = -3*r. Let x(t) = -r + 2 + 1. Let n(d) = d**3 + d - 5. Determine -2*n(z) + 5*x(z).
-2*z**3 - 2*z
Let y(r) = 28*r**2 - 6. Suppose 0 = 3*a + 4*q + 429, 3*a + 5*q + 43 = -386. Let c(t) = 671*t**2 - 143. Calculate a*y(w) + 6*c(w).
22*w**2
Let m(q) = -q**3 - 3*q. Suppose 0 = -4*g + 8*g + 12. Let a be (1 - 0) + g + 2. Suppose -k + 8 = -a*k. Let x(u) = -3*u**3 - 8*u. What is k*m(p) - 3*x(p)?
p**3
Let o(z) = -2*z**3 - 2*z**2 - 3*z + 5. Suppose -5*f = -10 - 5. Let r(y) = -13*y - f*y - 2*y**3 + 13*y + 6 - 2*y**2. Give -6*o(w) + 5*r(w).
2*w**3 + 2*w**2 + 3*w
Let r(n) = -n - 3. Let x be 6/(-21) - (-816)/14. Let u = x + -32. Let a(l) = 4*l + 13. Give u*r(c) + 6*a(c).
-2*c
Let f(w) = w - 2. Let l(d) = -20*d - 13. Determine -6*f(s) + l(s).
-26*s - 1
Let m = -3595 + 3597. Let g(q) = 2*q**2 + q + 2. Let d(h) be the first derivative of 10*h**3/3 + 3*h**2 + 10*h - 1. Determine m*d(x) - 11*g(x).
-2*x**2 + x - 2
Let p(r) = -4*r**2 - 13*r + 20. Let d(w) = 4*w**2 + 13*w - 17. Calculate 7*d(b) + 6*p(b).
4*b**2 + 13*b + 1
Let z(m) = 6*m - 2. Let g(w) = -17*w + 6. Let c = -1322 + 1326. Calculate c*