q(m).
-3*m**2 - 2
Let z(c) = 6*c + 4. Suppose -20 = 2*p - 10. Let i(w) = 24*w + 14. Let s(m) = 5*m + 3. Let l(h) = 2*i(h) - 11*s(h). Calculate p*z(a) - 4*l(a).
-2*a
Let i(t) = 3*t**2 - 4*t - 4. Let d = -23 + 31. Suppose -3*w + d*w = -55. Let l(n) = 8*n**2 - 11*n - 11. What is w*i(p) + 4*l(p)?
-p**2
Let p(q) = 8*q**3 + 2*q**2 - 3*q - 6. Let o(n) = -23*n**3 - 6*n**2 + 10*n + 17. Determine -6*o(d) - 17*p(d).
2*d**3 + 2*d**2 - 9*d
Let o(u) = 5*u**3 - 5*u**3 + 7*u**2 + 9*u**3. Let b(r) = -5*r**3 - 4*r**2. Suppose t - 2*t + 5*n = 16, t + 5*n - 24 = 0. Give t*o(m) + 7*b(m).
m**3
Let h(k) = 7*k**2 + 2*k - 7. Let l(s) = -1 - 7 + 7*s**2 + 2*s + s**2. What is 6*h(f) - 5*l(f)?
2*f**2 + 2*f - 2
Let o(w) be the first derivative of -w**3/3 + w**2/2 + w - 6. Let y(u) = -u - 1. Determine 2*o(q) + 3*y(q).
-2*q**2 - q - 1
Suppose 3*j + 5 + 13 = 0. Let c(v) = -4*v**2 + 0*v**3 + 2*v**3 - 7*v**3 - 2*v. Let z(n) = -4*n**3 - 3*n**2 - 2*n. Calculate j*z(d) + 5*c(d).
-d**3 - 2*d**2 + 2*d
Let s be (-6)/(-2) - 4/(-2). Suppose 2*j + 4 = -8. Let y(v) = -2*v**2 - 4. Let x(l) = -2*l**2 - 3. Determine j*x(n) + s*y(n).
2*n**2 - 2
Let q(x) = 3*x**3 - x**2 - 8*x - 1. Let u(m) = -m**3 + m**2 + m. Calculate q(b) + u(b).
2*b**3 - 7*b - 1
Suppose 0 = 5*f - 56 + 11. Let b(d) = 0 + 8 - 2 + f*d**3 - 7*d**3. Let m(z) = z**3 + 1. Calculate -b(g) + 4*m(g).
2*g**3 - 2
Let n(s) = 99*s + 5. Let h(p) = -149*p - 8. Give 5*h(b) + 8*n(b).
47*b
Let m(r) = -3*r - 1. Let v(i) be the first derivative of 7*i**2/2 + 3*i + 6. Determine 5*m(f) + 2*v(f).
-f + 1
Let a(f) = 3*f**3 - f - 4. Let m(x) = -7*x**3 + 2*x + 9. Let o = 9 - 5. What is o*m(h) + 9*a(h)?
-h**3 - h
Let v(i) = -i**2 + 2. Let d(p) = -p**2 - p - 4. Let y be d(0). Let m(j) = -j**2 + 2. Determine y*m(r) + 3*v(r).
r**2 - 2
Let b(y) = 5*y**3 - 14*y**2 + 8*y - 14. Let d be (3*(-3)/3)/1. Let k(z) = -2*z**3 + 5*z**2 - 3*z + 5. Calculate d*b(v) - 8*k(v).
v**3 + 2*v**2 + 2
Suppose 3*w - 5 = d + 4, -5*d = 5*w - 15. Let v(x) = -2*x - 1. Let q(s) = s**3 - 2*s - 1. What is w*v(n) - 2*q(n)?
-2*n**3 - 2*n - 1
Let g(a) = 2*a**2 + 5*a - 3. Let i(b) = -20*b - 10*b**2 - 6*b + 5 + 11. What is -16*g(s) - 3*i(s)?
-2*s**2 - 2*s
Let a(h) = -h - 3. Let g(r) = 3*r + 13. Give -9*a(j) - 2*g(j).
3*j + 1
Let x(f) = 2*f**2 - 7*f + 6. Let i be (26/10)/((-1)/(-5)). Let a be -4*3*2/(-3). Let d = i - a. Let m(c) = 2*c**2 - 8*c + 7. Calculate d*m(t) - 6*x(t).
-2*t**2 + 2*t - 1
Let n(j) be the third derivative of -j**6/120 - j**5/20 + j**4/12 - j**3/3 + 46*j**2. Let a(r) = 3*r**3 + 7*r**2 - 5*r + 4. Calculate 2*a(i) + 5*n(i).
i**3 - i**2 - 2
Let y(l) = -l**2 + 5*l + 5. Suppose 0 = 3*w + 3*f + 18, 2*w - 5 - 1 = 4*f. Let i(a) = -a**2 + 6*a + 6. What is w*i(c) + 4*y(c)?
-c**2 + 2*c + 2
Let h(u) = 4*u**2 + 8*u + 7. Let f(x) = -9*x**2 - 17*x - 15. Let g = 4 + 2. Give g*f(z) + 13*h(z).
-2*z**2 + 2*z + 1
Let n(q) = 2*q + 5. Let y(k) = k + 18. Let o(f) = 6. Let p(u) = 8*o(u) - 3*y(u). Give -6*n(w) - 5*p(w).
3*w
Let j(g) = 3*g**2 - g - 9. Let b(o) = o**2 - 4. Suppose -5*s = 15, -3*n - 2*n + s - 7 = 0. Determine n*j(a) + 5*b(a).
-a**2 + 2*a - 2
Let d(n) = -5*n**3 + 3*n**2 - 3*n + 3. Let t(j) = -j**3 - j + 1. Determine d(k) - 3*t(k).
-2*k**3 + 3*k**2
Let b(a) = 66*a + 21. Let f(n) = 13*n + 4. Let i(d) = 4*b(d) - 21*f(d). Let l(s) = -4*s. Calculate -3*i(m) + 7*l(m).
-m
Let t(j) = 20*j**3 + 5*j. Let w(k) = 10*k**3 + 2*k. Give 4*t(h) - 10*w(h).
-20*h**3
Let c(x) = x**3 + 2*x**2 + 3*x + 3. Let g(w) = -w**3 + 10*w**2 - 10*w + 12. Let n be g(9). Let a(l) = -l**3 - 2*l**2 - 2*l - 2. Calculate n*a(j) + 2*c(j).
-j**3 - 2*j**2
Let t(m) = -7*m**3 + 19*m - 4. Let h(v) = 6*v**3 - 20*v + 3. What is -5*h(q) - 4*t(q)?
-2*q**3 + 24*q + 1
Let w(l) = -3*l. Let j(g) = -g - 7. Let m be j(0). Let v(u) = 10*u. What is m*w(y) - 2*v(y)?
y
Let k(d) = -5*d - 2. Let x = 10 + -6. Let n(y) = -4*y + 0 + 1 - 2. Determine x*n(r) - 3*k(r).
-r + 2
Let x(n) = -6*n**2 + n + 1. Let v(h) = -5*h**2 + h + 1. Determine -4*v(k) + 3*x(k).
2*k**2 - k - 1
Let j(l) = -4*l + 5. Let v(q) = q - 1. Let a(s) = -j(s) - 5*v(s). Let k(u) = -u. What is a(i) - 6*k(i)?
5*i
Suppose -4*t - 10 = -3*n, 2 = n - 4*t - 4. Let o(x) = -x**3 - 1 - 6*x + 5*x**3 - 5*x**n + 2. Let f(k) = -3*k**3 + 4*k**2 + 5*k - 1. Give 5*f(r) + 4*o(r).
r**3 + r - 1
Let r(t) = 3*t**2 - 5*t - 5. Let s(v) be the first derivative of -4*v**3/3 + 4*v**2 + 8*v - 5. What is 8*r(u) + 5*s(u)?
4*u**2
Let m(d) = 8*d**3 - 7*d**2 - 6*d + 1. Let q(a) = -23*a**3 + 20*a**2 + 17*a - 3. Calculate -17*m(v) - 6*q(v).
2*v**3 - v**2 + 1
Let w(d) = d**2 - 4*d - 4. Let f(l) = -3*l**2 + 13*l + 13. Give 2*f(t) + 7*w(t).
t**2 - 2*t - 2
Let j(g) = -36*g - 2. Let t(u) = -35*u - 3. Determine -3*j(d) + 2*t(d).
38*d
Suppose -n - 10 = a + n, -3*a = -4*n - 20. Let c(o) = 4*o + 2*o - 5*o + a - 1. Let b(s) = -s**2 - 3*s + 3. Determine b(r) + 3*c(r).
-r**2
Let d(a) = 3*a**2 + 2*a - 6. Let k(s) = s**3 + 9*s**2 + 16*s + 10. Let h be k(-7). Let t(b) = -7*b**2 - 5*b + 13. What is h*t(w) - 9*d(w)?
w**2 + 2*w + 2
Let q(g) = -11*g**3 - 17*g**2 + 17*g + 17. Let o(w) = 108*w + 6 - 102*w - 4*w**2 - 2*w**2 - 4*w**3. Give 17*o(n) - 6*q(n).
-2*n**3
Let x(f) = 25*f**3 - 30*f - 30. Let v = -21 - -20. Let k(j) = j**3 - j - 1. Calculate v*x(r) + 30*k(r).
5*r**3
Let f(m) = 6*m + 3. Let c(o) = o + 1 + 0*o + 0*o. What is 4*c(q) - f(q)?
-2*q + 1
Let v(i) = 8*i + 4. Let d(z) = 9*z + 3. Calculate 5*d(t) - 4*v(t).
13*t - 1
Let j(q) = -q. Let g(w) = -w**2 - 11*w + 17. Let d be g(-13). Let k(s) = 4*s. Give d*j(r) - 2*k(r).
r
Let a(m) = m. Let h(g) = 2*g**2 + 7*g - 1. Let r(s) = 5*a(s) - h(s). Let n(j) = j - 4*j**2 + 0 - 6*j + 2. Give 4*n(y) - 9*r(y).
2*y**2 - 2*y - 1
Let d(o) = -8*o**2 + 7*o + 2. Let p(g) = -g**2 + g. Let r(c) = -3*c - 24. Let h be r(-6). Calculate h*p(q) + d(q).
-2*q**2 + q + 2
Let t(n) = -36*n**2 - 2*n - 2. Let z(m) = 181*m**2 + 11*m + 11. Calculate -22*t(v) - 4*z(v).
68*v**2
Let b(n) = 2*n + 5. Let q(k) = 7*k + 14. Let l(v) = -v. Let y(i) = 2*l(i) + q(i). What is -8*b(j) + 3*y(j)?
-j + 2
Let v(i) be the second derivative of i**5/20 - i**4/6 + i**3/6 - i**2 - 9*i. Let x(a) = -a**3 + 3*a**2 - 2*a + 3. Give 3*v(z) + 2*x(z).
z**3 - z
Let v(t) = -13*t**3 + 9*t**2 + 9*t. Suppose 0 = -3*c + c + 8. Let d(w) = -6*w**3 + 4*w**2 + 4*w. Give c*v(a) - 9*d(a).
2*a**3
Let f(t) = -5*t**2 + t - 6. Let x(z) = 4*z**2 - z + 5. Suppose 2*r - 5 = -2*m - 3, -19 = r + 5*m. Determine r*f(i) + 7*x(i).
-2*i**2 - i - 1
Let t(v) = 10*v - 16. Let o(a) = -9*a - 1. Let s(n) = -3*n. Let b(u) = 2*o(u) - 7*s(u). Let l(p) = -p + 1. Let q(h) = b(h) + 5*l(h). What is 11*q(y) + 2*t(y)?
-2*y + 1
Let w(i) = 3*i**2 - 4*i. Suppose -25 = -22*x + 27*x. Let h(s) = -6*s**2 + 9*s. Give x*w(k) - 2*h(k).
-3*k**2 + 2*k
Let a(k) = 5*k + 5. Let o(c) = c**2 + 5*c + 2. Let j be o(-6). Suppose 0 = -4*w + 5*w + 2, -j = i + 2*w. Let y(l) = -14*l - 14. Calculate i*y(m) - 11*a(m).
m + 1
Let v(i) = -3*i + 3. Let n(q) = -6*q + 6. Give -6*n(y) + 11*v(y).
3*y - 3
Let d(j) = -1. Let z(q) = q**2 - q - 1. Calculate d(u) - 2*z(u).
-2*u**2 + 2*u + 1
Let r(i) = -5*i - 1. Let a(l) = -6*l - 1. Give -6*a(w) + 7*r(w).
w - 1
Suppose -2*f = 5*b - 5, 0*b + 6 = f - b. Let h(v) = 5*v**3 + 6*v**2 + 8*v + 11. Let k(y) = 3*y**3 + 4*y**2 + 5*y + 7. Determine f*h(j) - 8*k(j).
j**3 - 2*j**2 - 1
Let c(j) = -j**2 - j + 1. Let a(l) = 4*l**2 + 2*l + 1. Determine -a(m) - 2*c(m).
-2*m**2 - 3
Let n(t) = 1. Let s(k) = k**2 - 4. Let r be (-10)/15 - (-64)/6. Suppose 4*h - r = 2. Give h*s(u) + 12*n(u).
3*u**2
Let w = 7 + -4. Let s(c) = c + c - w*c. Let b(j) be the first derivative of -j**4/2 + j**3/3 - 5*j**2/2 - 45. Give b(a) - 3*s(a).
-2*a**3 + a**2 - 2*a
Let q(z) = -3*z**3 + 4*z**2 - 4*z + 6. Suppose 4*k = 8*k - 28. Let m(w) = -k*w**3 + 13 - 5*w**3 + 5*w**3 - 9*w + 9*w**2. Determine 4*m(i) - 9*q(i).
-i**3 - 2
Let k(x) = -1196*x**3 + 253*x**2 - 253*x + 253. Let u(v) = 19*v**3 - 4*v**2 + 4*v - 4. Give 4*k(o) + 253*u(o).
23*o**3
Let d(u) = -6*u + 2. Let i(f) = -1. What is 2*d(v) + 6*i(v)?
-12*v - 2
Suppose 2*f = 3*m + 72, -4*f - f - 5*m + 130 = 0. Let k be ((-1)/2)/((-5)/f). Let r(l) = -1 + 2*l + k + l. Let w(a) = -8*a - 6. What is 11*r(v) + 4*w(v)?
v - 2
Let c(q) = -q + 2. Let x(m) = -5*m + 3. Let r(v) = 3*v - 2. Let i(n) = 8*r(n) + 5*x(n). What is c(h) + 2*i(h)?
-3*h
Let k(l) be the second derivative o