r**2 - 4*r - 5. Let k(t) be the second derivative of -7/6*t**3 - 9*t - 9/2*t**2 + 0 + 1/4*t**4. What is 7*j(v) - 4*k(v)?
2*v**2 + 1
Let p(b) = -4*b**2 + 7*b + 5. Let i(r) = -2*r**2 + 3*r + 2. Suppose -h = 58 - 65. Determine h*i(j) - 3*p(j).
-2*j**2 - 1
Let f(r) = -r**2 - 2*r - 1. Let g(c) = -243*c**3 - 54*c**2 - 108*c - 54. Calculate 54*f(m) - g(m).
243*m**3
Suppose 3*w - 43 = -5*c, -7 = 3*w - 5*c - 0. Suppose 59 = 4*k - 3*h, 2*k + 4*h + h = -3. Let f(o) = 2*o + k - w - 11. Let u(x) = 3*x - 7. Give -5*f(p) + 4*u(p).
2*p + 2
Suppose -2*f - 3 = -15. Let x(d) = -2 + 2*d + f*d - 2*d. Let q = 66 - 70. Let i(h) = 7*h - 2. Determine q*i(l) + 5*x(l).
2*l - 2
Let w(o) = 21*o - 26. Let z(d) = 4*d - 5. Let r(m) = -12*m**2 + 6*m + 6*m**3 - 35 - 7*m**3 - 11*m**2 + 17*m. Let v be r(-24). What is v*z(j) + 2*w(j)?
-2*j + 3
Let r(o) = o**3 + o**2 - o + 1. Suppose 30*k - 74*k = 88. Let h(n) = 10*n**3 + 2*n**2 - 2*n + 2. Determine k*r(p) + h(p).
8*p**3
Let x(d) = 5*d + 7. Suppose 5*o + 6 = i, -4*i + 5*o = -8 - 31. Let y(j) be the second derivative of j**3/2 + 2*j**2 + 29*j. Determine i*y(k) - 6*x(k).
3*k + 2
Let n = -30 + 33. Suppose -3*a = -n*q - 18, 24 = q - 2*a + 7*a. Let f be 4/(6/3) + q. Let m(z) = -z. Let l(s) = 4*s - 1. Calculate f*l(h) + 3*m(h).
h - 1
Let u(a) = 2*a + 8*a - 4 + 2*a - 9*a. Let p(o) = -3. Let j(t) = 7. Let b(f) = 4*j(f) + 9*p(f). Calculate -4*b(r) - u(r).
-3*r
Let d be (-180)/(-240)*(-1 + (-14)/2). Let s(o) = 7*o**2 + 12*o + 6. Let r(l) = 8*l**2 + 13*l + 7. What is d*r(j) + 7*s(j)?
j**2 + 6*j
Let w(z) = 7*z**3 + 22*z**2 - 5*z - 6. Let l(n) = 11*n**3 + 34*n**2 - 8*n - 9. What is -5*l(f) + 8*w(f)?
f**3 + 6*f**2 - 3
Let u(n) = 9*n**3 + 8*n + 22. Let f(s) = -s**3 - s - 1. Calculate 24*f(h) + 3*u(h).
3*h**3 + 42
Let q(l) = l**2 + 7*l + 8. Let t be q(-6). Let y(f) = 10 + 7 + t*f - 19. Let p(o) = 2*o - 1. Let w = -4 + 1. Calculate w*p(g) + 2*y(g).
-2*g - 1
Let f(g) = -g**3 - g**2 - 2*g + 1. Let w(j) = 4*j**3 - 46*j**2 + 6*j - 3. Calculate -3*f(a) - w(a).
-a**3 + 49*a**2
Let p(j) = 40*j + 16. Let w = 512 + -509. Let s(a) = -8*a - 3. Determine w*p(x) + 16*s(x).
-8*x
Let g(c) = -c**2 - 3*c - 2. Let z be g(-3). Suppose 0 = 71*v - 354 - 143. Let t(a) = a**2 - 4*a + 13. Let x(k) = -k + 5 - 1 + 0*k. What is v*x(m) + z*t(m)?
-2*m**2 + m + 2
Suppose 5*z = 5*w + 40, w = -3*w + 5*z - 30. Let k(p) = 14*p. Let l(y) = y. Calculate w*l(g) + k(g).
4*g
Let u(r) = r + 2. Let x(w) = w + 41. Determine u(i) + x(i).
2*i + 43
Let i(s) = 2*s**2 + 52*s + 6. Let l(p) = 17*p + 2. Give -5*i(m) + 16*l(m).
-10*m**2 + 12*m + 2
Let s(v) = -11*v**2 + 5*v - 2. Let f(r) = 1 - 7 + 17*r**2 + 307*r + 4 + 5 - 315*r. What is 5*f(w) + 8*s(w)?
-3*w**2 - 1
Let m(i) = -2*i. Let n(p) = -p**2 - 6*p + 5. Let d(t) = -t**2 - 5*t + 4. Let s(h) = -5*d(h) + 4*n(h). Determine 2*m(q) + 3*s(q).
3*q**2 - q
Let q(o) = -1 + 10*o + 0*o + 8*o - 1 - o. Let r(x) = -11*x + 1. Determine 5*q(v) + 8*r(v).
-3*v - 2
Let z(w) = 147345*w + 5640. Let y(j) = 235*j + 9. Give -1880*y(h) + 3*z(h).
235*h
Let h(r) = r**3 + 1. Let t be h(2). Let s(z) = -15 - 6*z - 4*z + 14*z + t*z. Let w(o) = -7*o + 8. Calculate 6*s(y) + 11*w(y).
y - 2
Let o(d) = -d - 2. Let s(y) = -5*y - 11. Suppose 4*w - w = -2*a - 7, 4*w + 3*a = -10. Let j be (w + -4)*(-1 - (-81)/15). Determine j*o(k) + 4*s(k).
2*k
Let a(i) = -192*i**2 - 5*i + 5. Let y(u) = -193*u**2 - 6*u + 6. Give 6*a(b) - 5*y(b).
-187*b**2
Let j(n) be the third derivative of 7*n**4/24 + 5*n**3/3 - 13*n**2 - n. Let o(i) = -i - 1. What is j(l) + 5*o(l)?
2*l + 5
Let s(o) = -6*o**2 - 4*o - 5. Let t(z) = 2*z**2 + z + 2. What is 4*s(p) + 11*t(p)?
-2*p**2 - 5*p + 2
Let k be (-1 + -1)/(63 + -61). Let v(w) = -w**2 + 2. Let r(d) = -1. Let u = -2 + 0. Give k*v(z) + u*r(z).
z**2
Let y(o) = -5*o - 2. Let f(a) be the second derivative of 5*a**3/3 + 2*a**2 - a. Suppose -17*k = -22 - 6 - 57. Determine k*y(w) + 3*f(w).
5*w + 2
Suppose -v + 6 - 5 = 0. Let n(w) = w + 0 - 1 + v + 1. Let m(r) = 3*r + 3. Calculate -6*m(k) + 17*n(k).
-k - 1
Let x(o) = -28*o**3 + 35*o**2 - 35*o - 35. Let f(u) = u**3 - u**2 + u + 1. Suppose -16 = 12*b - 4. Calculate b*x(t) - 35*f(t).
-7*t**3
Let t(d) = -d**2 + 3*d + 3. Let y(a) = -2*a**2 + 6*a + 5. Determine 5*t(u) - 3*y(u).
u**2 - 3*u
Let s(x) = -3*x**3 + 203*x + 2. Let m(t) = -10*t**3 + 609*t + 7. What is -2*m(j) + 7*s(j)?
-j**3 + 203*j
Let j(z) = 11*z**3 - 2*z. Let l(i) = -21*i**3 - 17*i**3 - 7*i**3 + 14*i - 5*i. Give 9*j(k) + 2*l(k).
9*k**3
Let o(q) = q**3 - 4*q**2 + 2*q. Let s(x) = -2*x**3 + 5*x**2 - 2*x. Let b(k) = -k**3 + 7*k**2 - 4*k + 23. Let r be b(7). Give r*o(u) - 4*s(u).
3*u**3 - 2*u
Let f(t) = -12*t. Let d(u) = 46*u + 50*u - 200*u + 50*u + 46*u. What is 8*d(n) - 5*f(n)?
-4*n
Let c(k) = -4*k**2 - 14*k - 19*k + 45*k - 15*k - 5. Let d(q) = -q**2 - 1. Determine c(s) - 5*d(s).
s**2 - 3*s
Let j(p) = -31*p - 9. Suppose -49 = 25*z + 26. Let a(r) = 16*r + 5. Give z*j(w) - 5*a(w).
13*w + 2
Let m(u) = 5*u - 1. Let d(h) be the first derivative of -h**2 - 7*h + 13. Let o(j) = -5*j - 15. Let x(c) = -13*d(c) + 6*o(c). Determine 3*m(f) + 4*x(f).
-f + 1
Let r(c) = -50*c**2 + 20*c. Let n(q) = 10*q**2 - 4*q. Determine -14*n(h) - 3*r(h).
10*h**2 - 4*h
Let m(o) = 8*o**3 - 11*o**2 - 10*o + 1. Let z(x) = -9*x**3 + 12*x**2 + 10*x - 1. Give -7*m(q) - 6*z(q).
-2*q**3 + 5*q**2 + 10*q - 1
Let r(b) = 9*b**2 + 5*b - 20. Let x be (-18)/(-33) - (156/44 + -8). Let g(l) = 14*l**2 + 8*l - 30. Determine x*g(o) - 8*r(o).
-2*o**2 + 10
Let c(q) = -4*q**3 - 6*q**2 + 5*q + 5. Let t(b) = -b**3 - b**2 + b + 1. Suppose -5*a + 42 + 23 = 0. Let o = a + -14. Let m = -4 - -9. Determine m*t(v) + o*c(v).
-v**3 + v**2
Let q(f) = 39*f**3 - 16*f**2 - 16*f. Let j(i) = -i**2 - 3*i. Give -6*j(v) + q(v).
39*v**3 - 10*v**2 + 2*v
Let m(f) = -15*f + 5. Let p be 10/4*(-2376)/(-660). Let k(v) = 2*v + v + v - 1. What is p*k(x) + 2*m(x)?
6*x + 1
Let q(m) = 19*m**3 + 44*m**2 - 11*m + 199. Let c(u) = -5*u**3 - 11*u**2 + 3*u - 50. Determine -11*c(f) - 3*q(f).
-2*f**3 - 11*f**2 - 47
Let q(w) = -2. Let d(g) be the second derivative of g**3/6 - 7*g. Let t be (21/14)/((-9)/6) - 0. Calculate t*q(x) + d(x).
x + 2
Let j(z) = -7*z + 17. Let i(x) = -4*x + 9. What is -5*i(y) + 3*j(y)?
-y + 6
Let j(a) = 15*a**2 + 15*a + 40. Let c(r) = 7*r**2 + 7*r + 19. Give -13*c(q) + 6*j(q).
-q**2 - q - 7
Let l(i) = 2*i**3 - i**2 + i + 1. Let n(h) = 8*h**3 - 33*h**2 + 4*h + 8. What is 5*l(d) - n(d)?
2*d**3 + 28*d**2 + d - 3
Let b(a) = -8*a**3 - 2*a**2 + 9*a + 10. Let j be b(-1). Let r(f) = 8*f - 7. Let g(h) = -3*h + 2. Calculate j*g(u) + 2*r(u).
-5*u
Let s(k) = -7*k**3 + 4*k**2 - 36*k - 4. Let r(g) = 13*g**3 - 7*g**2 + 71*g + 7. What is 4*r(a) + 7*s(a)?
3*a**3 + 32*a
Let y(a) = -a + 6. Suppose h = 4, j - 6*j - 2*h + 23 = 0. Let l(t) = 2*t - 7. Give j*l(w) + 4*y(w).
2*w + 3
Let p(m) = 3*m. Let j(l) = -91*l - 3. Let a be 4/(-18) + (-392)/(-63). Let h be j(a). Let z be h/(-81) + 4/18. Let x(v) = -10*v. What is z*p(w) + 2*x(w)?
w
Let p(k) = k. Let m(n) = 9*n + 7. Let v = 80 + -81. Let w be m(v). Let g(f) = 1. Calculate w*g(z) + p(z).
z - 2
Let f(i) = -i**3 + 10*i**2 + 3*i + 16. Let u be f(11). Let o(c) = 74*c. Let t(g) = -4*g. What is u*t(p) - 4*o(p)?
-8*p
Let t(a) = 2*a + 6. Suppose 3*x = 3*u - 6*u - 12, 4*u = 2*x + 32. Let w = x + 3. Let c(s) be the second derivative of -s**2/2 - 2*s. Give w*c(f) - t(f).
-2*f - 1
Let w(v) = v**2 - 5*v - 1. Let r be w(6). Let f(l) be the first derivative of 4*l**3/3 - 7*l**2/2 - 1290. Let s(c) = -2*c**2 + 4*c. Give r*s(u) + 3*f(u).
2*u**2 - u
Suppose -49*s + 21*s - 112 = 0. Let n(i) = -9*i**2 - i + 6. Let f(t) = 1. Calculate s*f(w) + n(w).
-9*w**2 - w + 2
Let i(v) = -3*v - 6. Let b(f) = -3*f - 7. Let k(g) = -5*b(g) + 6*i(g). Suppose -5*u + 4*u = -6. Let z(w) = 3*w + 1. Determine u*z(m) + 5*k(m).
3*m + 1
Suppose -6*v = -2*v - 40. Suppose 0 = v*o - 6*o - 192. Let x = o - 32. Let m(u) = -6*u**2 - 16*u - 16. Let g(h) = 2*h**2 + 5*h + 5. Determine x*g(b) + 5*m(b).
2*b**2
Let c(q) = -11*q - 1. Let a(v) = -11*v + 1. Calculate -4*a(p) + 5*c(p).
-11*p - 9
Let i(a) = 9*a**3 - 6*a**2 - 6*a - 6. Let r(z) = 9*z**3 - 5*z + 0*z**3 - 5 - 275*z**2 + 270*z**2 - z**3. What is 5*i(u) - 6*r(u)?
-3*u**3
Let a(p) = -2*p**2 - p - 2. Let j be 108/(-60)*(-20)/(-6). Let l(k) = 2 + k**2 - k**2 + k + 0 + 2*k**2. Calculate j*a(t) - 5*l(t).
2*t**2