 + 1
Let z(m) = -20923465*m**3 + 44796*m**2 + 11199*m - 11199. Let j(h) = -3737*h**3 + 8*h**2 + 2*h - 2. What is 11199*j(w) - 2*z(w)?
-3733*w**3
Let k(b) = -4. Let r(q) be the first derivative of 0*q**2 + 1/3*q**3 + 5*q + 19. Give 5*k(j) + 4*r(j).
4*j**2
Let f(x) = -x**3 + 8*x**2 + 16*x + 10. Let i(t) = -2*t**3 + 12*t**2 + 26*t + 16. Give 8*f(l) - 5*i(l).
2*l**3 + 4*l**2 - 2*l
Let b(a) = -92*a**3 + 501*a**2 - 14. Let p(d) = 69*d**3 - 376*d**2 + 11. Determine 7*b(o) + 9*p(o).
-23*o**3 + 123*o**2 + 1
Let g(x) = -x**3 + 9*x + 61. Let p(h) = h**3 - 5*h - 31. Calculate 4*g(w) + 7*p(w).
3*w**3 + w + 27
Let s(z) = -9*z**2 + 3*z - 6. Let y(f) be the third derivative of 31*f**2 + 1/24*f**4 - 1/6*f**3 + 0 + 0*f - 1/60*f**5. Determine -s(c) + 6*y(c).
3*c**2 + 3*c
Let k(r) = 7*r**2 - 5*r + 4. Let o(f) = -f**2 + f - 1. Let h(g) = g. Let l be h(-1). Let s(y) = y**2 - 9*y + 15. Let x be s(5). Give l*k(p) + x*o(p).
-2*p**2 + 1
Let i(l) = -l**2 - 1 + l**2 + l**3 + l. Let j(t) = 5*t + 4608*t**3 + 3 - 8 - 9966*t**3 + 5362*t**3. Let u(z) = -z + 2. Let c be u(7). What is c*i(h) + j(h)?
-h**3
Let u(g) = -27*g**2 + 171. Let d(j) = -6*j**2. Calculate -5*d(v) + u(v).
3*v**2 + 171
Let g(f) = -f**2 + 1 + 6*f + 5 + 2*f**2 - 10*f**3. Let i(s) = -11*s**3 + s**2 + 7*s + 7. Let z = 154066 + -154073. Determine z*g(o) + 6*i(o).
4*o**3 - o**2
Let b(r) = -2*r**2 + 4*r + 3. Suppose 3*a = 5*o - 599, 2*o - 147 = 3*a + 98. Let v(u) = -114 + o + 5*u**2 - 7*u**2 + 5*u. Calculate 5*b(t) - 4*v(t).
-2*t**2 - 1
Let d(j) = -31065*j**2 - 46*j + 23. Let k(c) = 7766*c**2 + 12*c - 6. What is 6*d(w) + 23*k(w)?
-7772*w**2
Let g(o) = 29*o**3 + 3*o**2 + 3*o. Let d(h) be the second derivative of -57*h**5/20 - 7*h**4/12 - 7*h**3/6 - 46*h + 28. Calculate 3*d(z) + 7*g(z).
32*z**3
Let w(a) be the second derivative of 5*a**3/6 + a**2 - 210*a. Let m(l) = -13 - 36 - 36*l + 22 - 30*l. What is 2*m(p) + 27*w(p)?
3*p
Let m(w) = 4*w**3 - 4*w**2 + 2*w + 2. Let p be m(1). Let a(r) = -p + 5*r**3 + 3*r**3 - 4*r**3. Let t(x) = x**3 - 1. Give 4*a(z) - 14*t(z).
2*z**3 - 2
Let x(b) = -121*b**2 + 3*b + 3. Let k(p) = 322*p**2 - 9*p - 9. Let r(t) = 3*k(t) + 8*x(t). Let s(u) = 2*u**2 + 3*u + 3. Give 5*r(l) + 4*s(l).
-2*l**2 - 3*l - 3
Let t(j) = -140*j**2 - 97*j - 17. Let u(q) = -47*q**2 - 33*q - 6. Give 6*t(d) - 17*u(d).
-41*d**2 - 21*d
Let a(g) = 205*g**2 - 35*g - 35. Let p(f) = 12*f**2 - 2*f - 2. Suppose -105 - 1575 = -48*m. Calculate m*p(t) - 2*a(t).
10*t**2
Let m(k) = 478*k**3 + 73*k**3 + 165*k**2 - 165 - 165*k + 679*k**3. Let p(v) = 30*v**3 + 4*v**2 - 4*v - 4. Determine 4*m(a) - 165*p(a).
-30*a**3
Let j(t) = 11*t - 3828. Let i(c) = 13*c - 3830. What is 6*i(u) - 7*j(u)?
u + 3816
Let r(g) = 45*g + 11. Let p be (-7 - (-670)/40)*8/(-6). Let t(m) = 22*m + 5. Give p*t(x) + 6*r(x).
-16*x + 1
Let k(r) = -95*r**2 - 34*r + 4. Let d(z) = -95*z**2 - 27*z + 3. Give 4*d(s) - 3*k(s).
-95*s**2 - 6*s
Let a(m) = -14*m**2 + 9*m + 1797. Let i(n) = -5*n**2 + 3*n + 597. Give 4*a(f) - 11*i(f).
-f**2 + 3*f + 621
Suppose -4*b = 2*d - 8, -8 = -4*b + d + 3*d. Let c(k) = k**3 - k. Suppose -166*v - 146*v + 179 - 491 = 0. Let m(w) = w**3 + 2. Calculate b*c(q) + v*m(q).
q**3 - 2*q - 2
Let m(x) = 9*x**2 + 17*x + 9. Let v(b) = -4*b**2 - 9*b - 4. Suppose -2*w + 20 = 40*j - 36*j, 5*j - 28 = -3*w. Give j*m(a) + 5*v(a).
-2*a**2 - 11*a - 2
Let j(t) = -43*t + 596. Let n be j(14). Let g(u) = u**3 - 1. Let a(d) = -8*d**3 - 7*d + 6. Give n*g(i) - a(i).
2*i**3 + 7*i
Let h(c) = -56*c**2 + 5*c - 16. Let p(v) = 3*v**2 - v + 1. Calculate h(q) + 4*p(q).
-44*q**2 + q - 12
Let s(f) be the third derivative of f**4/12 - f**3/6 - 18*f**2 + f - 59. Let h(n) = -n. Let v(j) = 3*j - 1. Let g(x) = h(x) + v(x). Determine -2*g(i) + 3*s(i).
2*i - 1
Let r(v) = 9*v**2 - 7*v + 4. Let n(l) be the first derivative of 104 + 5/3*l**3 - 2*l**2 + 2*l. Give -7*n(t) + 4*r(t).
t**2 + 2
Let d(j) = 3890*j**3 - 28*j - 14. Let t(g) = -3*g**3 - 2*g - 1. Calculate -d(s) + 14*t(s).
-3932*s**3
Let p(q) = 6*q**3 + 5*q - 6. Let t(w) = -24*w**3 - 20*w + 22. What is 22*p(b) + 6*t(b)?
-12*b**3 - 10*b
Let t(p) = 1 + p + 1 - 1. Let a(w) = -6*w - 9. Let x(o) = -5243*o - 15728. Let s be x(-3). Calculate s*a(l) + 9*t(l).
3*l
Let b(d) = -d + 12. Let u(r) = -45*r - 210 + 197 + 46*r. What is 3*b(m) + 2*u(m)?
-m + 10
Let n(k) = 136*k + 5. Suppose -90 = 24*l + 174. Let v(z) = -27*z - 1. What is l*v(p) - 2*n(p)?
25*p + 1
Let k(a) = 2*a**3 + 373*a**2 + 18*a - 4. Let t(r) = 2*r**3 + 373*r**2 + 15*r - 3. Determine 5*k(u) - 6*t(u).
-2*u**3 - 373*u**2 - 2
Let k(i) = -2*i**3 - i**2 + 2*i + 1. Let t(l) be the second derivative of -l**4/12 + l**3/6 - 3*l. Suppose -7*x - 5342 = -5335. Determine x*t(b) + k(b).
-2*b**3 + b + 1
Let n be 1 - ((-10)/2)/1. Let p(y) = -y - 1. Suppose -16*x - 24 = 5*x - 45. Let l(b) = 9*b + 8. Give n*p(i) + x*l(i).
3*i + 2
Let c(p) = 386*p - 45. Let a(v) = -v + 23. Give 2*a(u) + c(u).
384*u + 1
Let x(m) = 7*m**2 + 3*m. Let i(r) = 7*r**2 + 4*r. Suppose -3*b + 4*b = -2*b. Suppose -13*o = -b*o - 39. Determine o*i(u) - 4*x(u).
-7*u**2
Let n(g) = 4*g**2 + 1666*g + 6. Let a(b) = -4*b + 2. Calculate -3*a(i) + n(i).
4*i**2 + 1678*i
Let y(n) = 3. Suppose -13397*j + 13423*j - 130 = 0. Suppose 12 = 3*d, -5*c - 2*d + d + 14 = 0. Let z(t) = -t - 5. Give c*z(g) + j*y(g).
-2*g + 5
Let q(j) = -6*j + 3. Let v be 270/(-243)*45/10. Let m(b) be the second derivative of b**3/3 - 3*b. Let i be m(-2). Let h(x) = 5*x - 2. What is i*q(t) + v*h(t)?
-t - 2
Let q(c) = 5*c**3 - 3*c**2 - 2*c - 7. Let k(p) = 5*p**2 + 4*p + 13. Calculate -6*k(o) - 11*q(o).
-55*o**3 + 3*o**2 - 2*o - 1
Let k(y) be the second derivative of -1/6*y**3 + 0 + 0*y**2 - 41*y. Let u(c) = -10*c. Calculate 3*k(w) - u(w).
7*w
Let f(a) be the second derivative of a**5/10 + a. Let l(v) = -v**3. Let i = 136819 - 136825. Determine i*l(u) - 5*f(u).
-4*u**3
Suppose 6*f + 20 + 32 = 64. Let h(u) be the second derivative of 1/6*u**3 + 3*u**f + 0 - 14*u. Let q(k) = -1. Determine h(p) + 4*q(p).
p + 2
Let d(z) = -27*z - 8. Let o(p) = 9*p + 3. Let y(f) = -459*f - 1374. Let h be y(-3). Determine h*d(w) + 8*o(w).
-9*w
Let q(p) = 11*p**2 - 9*p + 6. Let y = -13986 + 13977. Let o(x) be the second derivative of -5*x**4/12 + 2*x**3/3 - 3*x**2/2 + 3*x. Calculate y*o(u) - 4*q(u).
u**2 + 3
Let c(v) = 7*v**2 - 26*v - 2. Let q(g) = 13*g**2 - 50*g - 4. Determine -11*c(p) + 6*q(p).
p**2 - 14*p - 2
Let w(b) = -15*b - 117 - 119 - 114 + 357 + 3*b + 7*b. Let t(k) = -1. Suppose v = -i - 5, 3*v - 3*i - 9 = -0*v. Determine v*w(h) - 5*t(h).
5*h - 2
Suppose 0 = 54*n - 2 - 26 - 80. Let l(y) = 13*y - 11. Let q(k) = -4*k + 4. Calculate n*l(f) + 7*q(f).
-2*f + 6
Let o(j) = 11*j**3 + 4*j - 2. Let s(l) = 10*l**3 - 85 - l - 1320*l**2 + 4*l + 84 + 1320*l**2. Calculate -3*o(q) + 4*s(q).
7*q**3 + 2
Let c(h) = 18*h - 3. Let j(d) = 25*d - 4. Let x(m) = 38*m - 6. Let u(s) = -5*j(s) + 4*x(s). Determine -7*c(l) + 5*u(l).
9*l + 1
Let v(g) = 33*g**2 + 5*g. Let a(d) = -329*d**2 - 49*d. Suppose 54 = 5*t + 49, -54 = p - 5*t. Calculate p*v(o) - 5*a(o).
28*o**2
Let y(b) be the first derivative of 0*b**2 + 397 - b**2 - 5*b - 326. Let r(j) = -6*j - 15. Determine 3*r(f) - 8*y(f).
-2*f - 5
Let t(w) = -4*w**3 - 10*w - 2. Let d(z) be the third derivative of z**6/40 + 5*z**4/12 + z**3/6 + 2791*z**2. Calculate 3*d(k) + 2*t(k).
k**3 + 10*k - 1
Let k be (-53 + 21 - -16) + 14. Let g(q) = -8*q**3 + 12*q**2 + 9*q + 27. Let a(u) = -2*u**3 + 3*u**2 + 2*u + 7. Determine k*g(t) + 9*a(t).
-2*t**3 + 3*t**2 + 9
Let q be 1824/(-15) + 1 - 4/10. Let m = q + 124. Let x be m/(-6) + -2*(-9)/4. Let b(o) = o + 1. Let d(f) = 3*f**2 - 4*f - 4. Determine x*b(s) + d(s).
3*s**2
Let h(d) = -5*d + 169. Let o(g) = 2*g - 73. Let x(y) = -3*h(y) - 7*o(y). Let k(s) = 3. What is -5*k(n) + 3*x(n)?
3*n - 3
Let l be 15*-2*4/24. Let a(c) = 3143*c + 7*c**2 + 2*c**2 - 3146*c - 4. Let g(z) = -10*z**2 + 4*z + 5. What is l*a(m) - 4*g(m)?
-5*m**2 - m
Let o(v) = 8*v**2 + 2535*v - 58. Let b(l) = -l**2 + 10. Calculate 6*b(f) + o(f).
2*f**2 + 2535*f + 2
Let p(j) = -j**3 + 2*j**2 + 61*j + 18. Let y(k) = -2*k**3 + 2*k**2 + 62*k + 22. Give -6*p(h) + 5*y(h).
-4*h**3 - 2*h**2 - 56*h + 2
Let n(h) = -1412000*h**3 - 6001*h**2 + 12002*h + 18003. Let f(g) = 1412*g**3 + 6*g**2 - 12*g - 18. Give 6001*f(s) + 6*n(s).
1412*s**3
Let h(d) = -12*d**3 - 211*d**2 + 8*d + 42. Let f(