m).
6*m**3 + 6*m**2 - m
Let i(q) = 10*q**3 - 3*q**2 - 3*q. Let p(m) = -20*m**3 + 5*m**2 + 5*m. Determine -10*i(z) - 6*p(z).
20*z**3
Let p(a) = 4*a**3 + 3*a + 1. Let o = -147 + 145. Let k(l) = 4*l**3 - 2*l**3 - l + 2*l. What is o*p(h) + 5*k(h)?
2*h**3 - h - 2
Let y(s) = -7*s + 41. Let d(o) = -6*o + 41. Determine 6*d(w) - 5*y(w).
-w + 41
Let v(o) = -o**2 + 1. Let t(c) = -30*c**2 + 1. What is t(w) - v(w)?
-29*w**2
Let i(s) = 3*s**3 - 4*s + 5. Suppose 0 = 3*b - 3 - 12. Let u(j) = 4*j**3 - 6*j + 7. Give b*u(x) - 7*i(x).
-x**3 - 2*x
Let i be (-2)/(-9) - (-184)/(-18). Let b(z) = -z + 3. Let l(m) = -3*m + 7. Give i*b(u) + 4*l(u).
-2*u - 2
Let r(o) = -3*o**2 - 4*o**3 - 2*o**3 + 4*o - 3*o**2 + 0*o. Let m(p) = -2*p**3 - 2*p**2 + p. Suppose -2*d + 0 + 4 = 0. What is d*r(w) - 7*m(w)?
2*w**3 + 2*w**2 + w
Let o(d) = -2*d**3 + 4*d**2 + 2*d + 5. Let j(s) = -s**2 - 1. Calculate 4*j(p) + o(p).
-2*p**3 + 2*p + 1
Let f(p) = -11*p**3 - 8*p**2 + 9*p + 13. Suppose -81 = 16*c - 25*c. Let a(t) = -5*t**3 - 4*t**2 + 4*t + 6. Calculate c*a(v) - 4*f(v).
-v**3 - 4*v**2 + 2
Let x(b) = -b + 7. Let n be x(4). Let h(f) = -2 + f**2 + 0 + f**2 - n. Let t = 21 - 29. Let c(y) = 3*y**2 - 8. Calculate t*h(z) + 5*c(z).
-z**2
Let y(m) = 7*m + 4. Let w(p) = 6*p + 3. Suppose 20 = a + 3*a. Let v(q) = -q**3 + 5*q**2 - 5. Let l be v(a). Suppose 3*u - 8 - 4 = 0. Calculate l*w(o) + u*y(o).
-2*o + 1
Suppose 9*j - 10 = 11*j. Let v(i) = -4*i**3 - 2*i**2 - 5. Let d(w) = -7*w**3 - 4*w**2 - 9. Give j*v(t) + 3*d(t).
-t**3 - 2*t**2 - 2
Let r(j) = -j**3 - j. Let t(z) = -4*z**3 + 6*z. Give 3*r(h) + t(h).
-7*h**3 + 3*h
Let f(z) = -z**3 - 3*z**2 - 2*z - 7. Let u be f(-3). Let v(g) = -g**3 + g**2 - g - 1. Let p(b) = b**3 - b**2 + 4*b + 2. Calculate u*p(i) - 2*v(i).
i**3 - i**2 - 2*i
Let y(h) = -8*h**2 + 4*h + 2. Let a(s) = -s**2 - 7*s - 7. Let p be a(-5). Let c(m) = -8*m**2 - 2 + 4 + p*m + m**2. Calculate 6*c(x) - 5*y(x).
-2*x**2 - 2*x + 2
Let z(p) = -p - 8. Let k(n) = -2*n - 7. What is 4*k(i) - 3*z(i)?
-5*i - 4
Suppose 0*i - 15 = 3*i, 0 = 4*v - 3*i - 59. Let c(q) = q - 1. Let g(x) = 2*x - 2. Calculate v*c(y) - 6*g(y).
-y + 1
Let f(j) = 4*j. Let g(k) = -2*k. Suppose -m + 38 = 3*r, -26 = -r + 4*m + 4. Determine r*g(s) + 6*f(s).
-4*s
Let g(h) = 7*h**2 - 2*h - 3. Let z(q) = 8*q**2 - 2*q - 4. Let n(p) = -6*g(p) + 5*z(p). Let c(i) = -8*i**2 + 9*i - 9. Give -2*c(x) + 9*n(x).
-2*x**2
Let i(w) = -2*w - 23 + 2*w**2 - 2*w + 24 + 6*w. Let v(h) = h. Give i(f) - 4*v(f).
2*f**2 - 2*f + 1
Let l(b) = -b**2 - 2. Let w(a) = -31*a**2 - 25*a**2 + 57*a**2 + 2. What is -6*l(d) - 5*w(d)?
d**2 + 2
Let d(b) = -4*b**3 + b - 1. Let t(a) = -a**3 + a**2 - a + 1. Give -2*d(v) - 2*t(v).
10*v**3 - 2*v**2
Let y(p) = 2*p + 3. Let x(a) = 1. Let b(o) = -4*x(o) - y(o). Let l = -7 - -12. Let h(m) = l + 3*m - 2*m - 1. Give 4*b(r) + 7*h(r).
-r
Let o(c) = -26*c**2 - c + 7. Let m(b) = 13*b**2 - 4. Calculate -7*m(r) - 4*o(r).
13*r**2 + 4*r
Let o(n) = -3*n**3 - n**2 + 2*n + 2. Suppose 0 = 3*r - r + 10. Let t(s) = -6*s**3 - 2*s**2 + 5*s + 5. What is r*o(u) + 2*t(u)?
3*u**3 + u**2
Let g(t) = -10*t - 7. Let v(n) = 3*n + 2. Let l(j) = -2*j**3 - 2*j**2 + 3*j + 2. Let s be l(-2). What is s*g(q) + 14*v(q)?
2*q
Let x(h) = 3*h**3 + 2. Let b(r) = 3*r**3 + 3. Calculate -2*b(l) + 3*x(l).
3*l**3
Let w(f) = f**3 - 2*f**2 - 2*f - 2. Let b = 92 - 89. Let m(t) be the first derivative of 3/2*t**2 + t**b - 1/2*t**4 + 3*t + 1. Give -2*m(l) - 3*w(l).
l**3
Let t(z) = -85*z - 102. Let w(k) = -k - 1. Calculate t(n) - 102*w(n).
17*n
Let k(x) be the third derivative of -x**6/60 + 13*x**5/60 - 11*x**4/24 - 13*x**2. Let r(a) = a**3 - 6*a**2 + 5*a. Calculate 6*k(b) + 13*r(b).
b**3 - b
Let y(c) = -14*c + 5. Let i(h) = 9*h - 3. Let d be 4/(-14) + 333/63. What is d*y(v) + 8*i(v)?
2*v + 1
Let b(f) = 8*f**3 - 72*f**2 - 72*f + 72. Let a(r) = -r**2 - r + 1. Calculate 288*a(q) - 4*b(q).
-32*q**3
Let o(m) = -7*m**2 + 2*m - 4. Let z(v) = -v**2 + v - 1. Calculate -o(u) + 4*z(u).
3*u**2 + 2*u
Let h(s) be the second derivative of -1/12*s**4 + 1/20*s**5 + 0 + 1/2*s**2 + 2*s + 1/6*s**3. Let i(k) = 3*k**3 - 3*k**2 + 2*k + 4. What is 2*h(q) - i(q)?
-q**3 + q**2 - 2
Let h(u) = -9801*u**2 - 243*u + 243. Let l(f) = 81*f**2 + 2*f - 2. What is -2*h(o) - 243*l(o)?
-81*o**2
Suppose h = -3*j + 15, 4*j = -6*h + 3*h + 25. Let y(p) = p + 1. Let v(r) = 2*r + 2. What is h*v(k) - 7*y(k)?
-k - 1
Let j(k) = k - 1. Let u(f) = -3*f + 9. Let p(a) be the third derivative of a**4/24 - a**3/2 + 3*a**2. Let l(x) = -8*p(x) - 3*u(x). Determine 2*j(v) - l(v).
v + 1
Let r(o) = -o**3 + o - 1. Let d(p) = p**3 - 3*p**2 + 4*p - 3. Let n be d(2). Let t = -139 - -134. Let c(g) = -6*g**3 + 5*g - 4. Determine n*c(i) + t*r(i).
-i**3 + 1
Let i(c) = 2*c**2 + c. Let t(q) = q**3 + q**2. Determine -i(p) + 2*t(p).
2*p**3 - p
Let h(n) = 41*n**2 - 2*n - 2. Let s(p) = 40*p**2 - 3*p - 3. What is -3*h(t) + 2*s(t)?
-43*t**2
Let q(r) = -54*r + 5. Let y(n) = 81*n - 8. What is -8*q(s) - 5*y(s)?
27*s
Let m(a) = 5*a**2 + 2*a + 11. Suppose 0*u + 9 = u. Let s(x) be the first derivative of 2*x**3/3 + x**2/2 + 5*x - 7. Determine u*s(g) - 4*m(g).
-2*g**2 + g + 1
Let f(g) = -5*g**2 - 13*g + 4. Let h(a) = 4*a**2 + 12*a - 3. Give 3*f(u) + 4*h(u).
u**2 + 9*u
Let j(x) = -x**2 - 1. Let y(b) = 10*b**2 + 9. Let p = 1 - 3. Suppose 0*i + i = -18. What is i*j(f) + p*y(f)?
-2*f**2
Let y(b) = -2*b**2 - 3*b - 4. Let n be 12/18*(7/(-2) - -2). Let c(w) = w**2 + w + 1. Give n*y(u) - c(u).
u**2 + 2*u + 3
Let v(y) = 0*y**2 - 31 - 37*y + 3*y**2 + 47*y. Let o(l) = 2*l**2 + 5*l - 15. Let j(m) = 5*o(m) - 2*v(m). Let w(r) = r**2 + r - 3. Determine 2*j(c) - 9*w(c).
-c**2 + c + 1
Let d(t) = -t - 1. Suppose 0 = 2*j - 33 + 35. Let x(k) = 6*k + 3. Give j*x(w) - 4*d(w).
-2*w + 1
Let u(o) = -5*o + 1. Let w(b) = 6*b - 1. Give 7*u(k) + 6*w(k).
k + 1
Let y(d) = d**2 + d. Let g(n) = -11*n**2 - 10*n - 8. Let m(o) = g(o) + 2*y(o). Let s(w) = 6*w**2 + 5*w + 5. Calculate -5*m(j) - 8*s(j).
-3*j**2
Suppose -3*v = 2*v + 5. Let b(r) = -r**3 - r**2 - r. Let d(k) be the third derivative of k**6/30 + k**5/10 + k**4/6 - 49*k**2. What is v*d(t) - 6*b(t)?
2*t**3 + 2*t
Suppose 41*h + 2 = 39*h. Let r(d) = d**3 - d**2 + 1. Let w(z) = 3*z**2 - 2*z - 3. Give h*w(u) - 3*r(u).
-3*u**3 + 2*u
Let y(w) = 5*w - 8. Let u(k) = 4*k - 7. Let f(j) = -6*u(j) + 5*y(j). Let g(q) = -4*q - 9. Let z = -20 + 8. Let x be (2 + z/3)*-1. Give x*g(c) + 9*f(c).
c
Let n(p) = 8*p + 1. Let g(x) = x**3 + x**2 + x - 6. Let i be g(0). Let y = -5 - i. Let h(b) = 2*b - 1 + y. Give -9*h(m) + 2*n(m).
-2*m + 2
Let g(p) = 7*p**3 - 5*p + 9. Suppose 0*v = v - 5. Let r(b) be the second derivative of -5/2*b**2 + 1/2*b**3 + 0*b**4 - b + 0 - 1/5*b**5. Give v*r(n) + 3*g(n).
n**3 + 2
Let j(z) = -6*z + 13. Let x(l) = 7*l - 13. Determine 6*j(a) + 5*x(a).
-a + 13
Let k(m) = -2*m + 4. Let c(f) = -2*f + 9. Let s(r) = -2*r + 10. Let j(b) = -5*c(b) + 4*s(b). Give 4*j(u) + 5*k(u).
-2*u
Let n(q) = -q**2 + 6*q + 4. Let w be n(6). Let u(o) = 8*o + 1. Let i(z) = -9*z - 1. Give w*i(j) + 5*u(j).
4*j + 1
Let q(s) = 9*s**2 - 7*s - 2. Let f(i) = 18*i**2 - 15*i - 5. Calculate 2*f(r) - 5*q(r).
-9*r**2 + 5*r
Let b(n) = n**3 + 4*n**2 + 3*n - 5. Let y(f) = f**3 + 7*f**2 + 5*f - 9. Let t = 64 + -67. Determine t*y(w) + 5*b(w).
2*w**3 - w**2 + 2
Let x(w) = -w**2 - 3*w - 2. Suppose -u = 5*f - 4*f + 19, -4*u = f + 85. Let n(b) = 6*b**2 + 16*b + 11. What is u*x(o) - 4*n(o)?
-2*o**2 + 2*o
Let j(h) = -2929*h. Let i(n) = 29*n. Give -203*i(v) - 2*j(v).
-29*v
Let m(z) = -z. Let a(t) = -4*t - 2. Determine 2*a(k) - 6*m(k).
-2*k - 4
Suppose 6*m - 136 = -2*m. Let u(o) = -2*o**3 - 5*o**2 + 6. Let x(j) = -5*j**3 - 14*j**2 + 17. What is m*u(s) - 6*x(s)?
-4*s**3 - s**2
Let m(s) = -9*s**3 - 3*s**2 - 3*s - 2. Let d(p) = 9*p**3 + 3*p**2 + 4*p + 3. Give 3*d(o) + 4*m(o).
-9*o**3 - 3*o**2 + 1
Let c(v) = -2*v**2 - 3*v. Let q(x) be the first derivative of -5*x**3/3 - 4*x**2 - 7. Determine -11*c(b) + 4*q(b).
2*b**2 + b
Let f(v) = -6*v**2 + 48*v - 5. Let s(t) = -t**2 - t - 1. Calculate -f(z) + 5*s(z).
z**2 - 53*z
Let r(m) = -102*m + 4. Let s(q) = -103*q + 3. Give -3*r(t) + 4*s(t).
-106*t
Let c(r) = 6*r - 9. Let n(m) = 9*m - 13. Determine 7*c(d) - 5*n(d).
-3*d + 2
Let z(f) be the first derivative of -2 - 1/6*f**3 + 1/2*f**2 + 3*f. Let a(q) be the first derivative of z(q). Let k(i) = 6*i - 7. 