t
Let h(s) = 1 - 3750*s**2 - 2 - s + s**3 + 3751*s**2. Let n(t) be the second derivative of t**5/2 + 3*t**4/4 - 3*t**3/2 - 9*t**2/2 + t. What is 18*h(x) - 2*n(x)?
-2*x**3
Let m(x) = 2*x**3 - 5*x - 5. Let r(w) be the first derivative of -w**4/4 + 3*w**2/2 + 3*w - 6. Determine -3*m(i) - 5*r(i).
-i**3
Let c(j) = 2*j + 5. Let i(q) = q - 3. Let k(w) = 5*w - 13. Let t(n) = 9*i(n) - 2*k(n). Determine -c(u) - 4*t(u).
2*u - 1
Let n(f) = 0*f - 5 + 1 + 5*f. Let a(c) be the first derivative of 3*c**2 - 5*c - 9. Calculate -3*a(z) + 4*n(z).
2*z - 1
Let a(d) = 2*d**3 + 7*d**2 + 6*d. Let r(s) = -6*s**3 - 20*s**2 - 17*s. What is -17*a(z) - 6*r(z)?
2*z**3 + z**2
Suppose -23 = -5*l + 2. Suppose -l*k + 4*q - 11 = 0, -4*k - 11 = -q - 0. Let y(n) = n**3 - 3*n. Let i(o) = 0*o + o**3 - 2*o**3 + 5*o. Calculate k*i(u) - 5*y(u).
-2*u**3
Let x be 2*(4 + -1) + -4. Suppose -4*p = -5*a + 58, 2*a + 2 + x = 0. Let u(j) = 2*j - 4. Let b(q) = 6*q - 11. Determine p*u(n) + 6*b(n).
2*n + 2
Let a(p) be the third derivative of p**5/12 - p**4/3 - p**3 + p**2 + 37*p. Let x(j) = 5*j**2 - 9*j - 7. Calculate -7*a(h) + 6*x(h).
-5*h**2 + 2*h
Let l(p) = -1633*p**3 - 69*p**2. Let r(g) = 48*g**3 + 2*g**2. Determine -2*l(n) - 69*r(n).
-46*n**3
Let a(o) be the second derivative of o**4/12 - o**3/3 + 3*o**2 + 7*o. Let x(k) be the first derivative of -1/3*k**3 - 5*k + 1 + k**2. Determine 6*a(w) + 7*x(w).
-w**2 + 2*w + 1
Let x(l) = 3*l**2 - 7. Let p(i) = 1. Let r(y) = 2*p(y) + x(y). Let b(w) = -1 + 3 - 5*w**2 + 4*w**2. Give -5*b(t) - 2*r(t).
-t**2
Let o(y) = y. Let h be o(2). Let s(g) = -5 - 4*g + 2 + h. Let c(b) = -b. What is -6*c(l) + s(l)?
2*l - 1
Let x(l) be the third derivative of -l**4/8 + 7*l**3/6 + 6*l**2. Let r(q) = q - 3. Give -7*r(d) - 3*x(d).
2*d
Let h(b) = -3*b**3 - b**2 + b - 1. Let d(q) = 3*q**2 + 2. Let c be d(0). Let o(a) = a**2 - a + 1. Give c*o(k) + 2*h(k).
-6*k**3
Let q(m) = m + 1. Let f(w) = -30*w - 12. What is f(u) + 12*q(u)?
-18*u
Let i(q) = -6*q**2 - q - 5. Let b(w) = -12*w**2 - w - 9. Give 3*b(u) - 5*i(u).
-6*u**2 + 2*u - 2
Let f(u) = 3*u**2 + 3*u - 1. Let w(m) = 2 + 1 - m - 2. Let t(n) = -n**2 + 18*n - 76. Let b be t(7). What is b*f(d) + 3*w(d)?
3*d**2 + 2
Suppose 0 = -19*c + 4*c + 90. Let w(b) = 2*b**2 - 6*b - 2. Let x(y) = 5*y**2 - 17*y - 6. Calculate c*x(v) - 17*w(v).
-4*v**2 - 2
Let d(u) = u + 8*u - 3*u + 29 - 23. Let g(f) = -5*f - 5. Give 6*d(k) + 7*g(k).
k + 1
Suppose 2*g + 0*g = 140. Let k be ((-1)/2)/((-7)/g). Let r(a) = -2*a**2 - 5*a - 5. Let w(d) = -3*d**2 - 3*d + 2*d**2 + 0*d - 3. Determine k*w(b) - 3*r(b).
b**2
Let c(k) = 0 - 4*k**3 - 1 + 3*k**3. Let z(w) = -w**3 + w**2 + w. Let q(x) = -5*x**3 + 2*x**2 + 2*x - 4. Let s(u) = 2*q(u) - 4*z(u). Calculate -8*c(v) + s(v).
2*v**3
Let y(c) = 2*c**2 + 7*c + 9 + 2 + 2*c. Let g(h) = -h**2 - 5*h - 6. Let x = -2 + 2. Let f = x - 11. Give f*g(m) - 6*y(m).
-m**2 + m
Let t(l) = 37*l**3 - 11 - 24*l - 31*l**3 + 3*l + 6*l**2. Let w(j) = -j**3 - j**2 + 4*j + 2. Calculate -2*t(d) - 11*w(d).
-d**3 - d**2 - 2*d
Let v(m) = -4*m**2 - 7*m + 6. Let h(y) = 24*y**2 + 41*y - 35. Let s(a) = 6*h(a) + 34*v(a). Let u(n) = -15*n**2 - 15*n + 11. Give 11*s(j) + 6*u(j).
-2*j**2 - 2*j
Let b(q) = 36*q - q**2 - 15*q - 13*q. Let n(f) = -f. Determine -3*b(x) - 24*n(x).
3*x**2
Let d(p) be the first derivative of -3*p**2/2 + 4*p + 60. Let m(j) = -j + 2. What is -4*d(f) + 7*m(f)?
5*f - 2
Let v(y) = -y**2 - y + 1. Let d(f) = 30*f**2 - 3*f + 3. What is d(l) - 3*v(l)?
33*l**2
Let z(i) = 10*i**3 - 25*i**2 - 25*i + 25. Let k(w) = -w**2 - w + 1. Calculate 50*k(g) - 2*z(g).
-20*g**3
Let t(g) = 36*g. Let b(m) = 54*m. Determine 5*b(z) - 7*t(z).
18*z
Let t(b) = -8*b**2 - 4*b + 17. Let q(j) = 2*j**2 + j - 4. Calculate -9*q(c) - 2*t(c).
-2*c**2 - c + 2
Let p(j) = -j**2 + 0*j**3 - 23 + 24 - j**3. Let g(m) = -18*m**3 - 15*m**2 + 15. What is -g(i) + 15*p(i)?
3*i**3
Let l(m) = -m. Let t(a) = 20*a**2 + 6*a + 17. Let c(x) = -5*l(x) + t(x). Let s(k) = 7*k**2 + 4*k + 6. Calculate 6*c(w) - 17*s(w).
w**2 - 2*w
Let b(q) = 2. Let i(w) be the second derivative of w**4/12 - w**3/6 - 5*w**2/2 - 14*w. What is -5*b(v) - 2*i(v)?
-2*v**2 + 2*v
Let c(x) = -x - 2. Suppose 3*t - 2*t = 4. Let s(d) = -d - 2. Let m(u) = -u**3 + 8*u**2 - 5*u - 17. Let k be m(7). Determine k*c(z) + t*s(z).
-z - 2
Let b(r) = -r - 1. Suppose 10 = 5*y + u - 10, 5*y + 10 = 5*u. Let s be y + 7/((-28)/(-24)). Let m(t) = -5*t - 5. Calculate s*b(x) - 2*m(x).
x + 1
Let m(q) = -2*q - 10. Let c(r) = 1. What is -60*c(h) - 6*m(h)?
12*h
Let l(y) be the third derivative of -y**6/60 - y**4/4 + y**3/3 + 3*y**2. Let n(m) = -3*m**3 - 7*m + 3. Determine -5*l(x) + 4*n(x).
-2*x**3 + 2*x + 2
Let d(a) = a. Let j(g) = g**3 + 2*g**2 + 8*g. Calculate -6*d(o) - j(o).
-o**3 - 2*o**2 - 14*o
Let o(t) = t + 1. Let y(p) = 32*p + 28. Give 56*o(u) - 2*y(u).
-8*u
Let n = 96 - 85. Let c(v) = -5*v. Let b(g) = g. What is n*b(l) + 2*c(l)?
l
Let y(v) = -2*v**2 + v + 2. Let f(d) = d. Determine -f(i) + y(i).
-2*i**2 + 2
Let s(j) = -9*j - 4. Let c(v) = 28*v + 11. Give 3*c(h) + 8*s(h).
12*h + 1
Let v(g) = 22*g**2 - 4*g - 10. Let y(x) = -15*x**2 + 3*x + 7. Give 5*v(q) + 7*y(q).
5*q**2 + q - 1
Let d(r) = -3*r - 35. Let h(v) = -2*v - 18. Determine -3*d(i) + 5*h(i).
-i + 15
Let a(n) = n**3 - 2*n. Suppose -2*b - 3 = -1. Let h(v) = -1 - 3 + 3 + 2. Calculate b*a(p) - h(p).
-p**3 + 2*p - 1
Let b(g) = 10*g - 2. Let v(d) = 15*d - 3. What is 8*b(f) - 5*v(f)?
5*f - 1
Let n(b) = 4*b**2 + 5*b + 5. Let j = -12 + 8. Let t(a) = -3*a**2 - 4*a - 4. What is j*n(k) - 5*t(k)?
-k**2
Let g(f) = -9*f**2 - 7. Let o(z) = 11*z**2 + 7*z - 4. Let t(n) = 10*n**2 + 6*n - 3. Let k(d) = -6*o(d) + 7*t(d). Let v = -2 + 5. Determine v*g(q) + 7*k(q).
q**2
Let n(l) be the first derivative of 5*l**3/3 - 2*l**2 + 71. Let p(w) = -2 - 14*w**2 + 11*w + 2. Give 11*n(x) + 4*p(x).
-x**2
Let b(t) = -t + 3. Let l be b(5). Let q(i) = 9*i**3 + 21*i**2 + 21*i. Let f(m) = m**2 - 1358*m + 1356*m - m**3 - 3*m**2. Determine l*q(c) - 21*f(c).
3*c**3
Let j(y) = 125*y**3 - 5*y. Let c(r) = -63*r**3 + 2*r. Give 5*c(i) + 2*j(i).
-65*i**3
Let z(v) = -5*v**2 + v + 2. Let j(a) = 9*a**2 - 2*a - 3. Suppose 4*c + 9 = 21. What is c*j(f) + 5*z(f)?
2*f**2 - f + 1
Let r(x) = 8*x**2 + x + 1. Let p(n) = 24*n**2 + 3*n + 2. Give -2*p(o) + 7*r(o).
8*o**2 + o + 3
Let o(u) = -4*u**3 + 7*u**2 - 4. Let f(s) = 3*s**3 - 6*s**2 + 3. Suppose -41 = -5*n - 11. Give n*f(x) + 5*o(x).
-2*x**3 - x**2 - 2
Let x(c) = -c**3 - 5*c**2 - 4. Let k(r) = -7 - 9*r**2 - r**3 - 4*r**3 + 4*r**3. What is -4*k(t) + 7*x(t)?
-3*t**3 + t**2
Let w(l) = 7*l - 14*l**2 + 6*l + 17 + 4*l. Let o = 9 + -15. Let x(p) = -5*p**2 + 6*p + 6. Give o*w(r) + 17*x(r).
-r**2
Let y be (7/(-14))/((-2)/8). Let i(f) = y*f + f - 5*f + f + 3. Let k(o) = 3*o - 8. Give 8*i(x) + 3*k(x).
x
Let r be (4/(-3))/(3/36). Let t(w) = -10*w**2 - 16. Let s(u) = -5 - 2*u**2 + 4 - 4 - u**2. Give r*s(q) + 5*t(q).
-2*q**2
Let o(n) = 10*n**3 + n**2 - 11*n - 5. Let y(h) = -5*h**3 + 5*h + 2. What is 2*o(s) + 5*y(s)?
-5*s**3 + 2*s**2 + 3*s
Let t(m) = 13*m**3 + 2*m**2 - 13*m. Suppose 2*b = c, -3*c + 5*b = 6*b - 14. Let j(n) = 6*n**3 + n**2 - 6*n. Calculate c*t(r) - 9*j(r).
-2*r**3 - r**2 + 2*r
Let l(s) = 2 - 1 + 3*s - 4*s. Suppose 6*o + 3 = 3*o. Let c(a) be the first derivative of -a**2 + 4*a + 2. Calculate o*c(d) + 4*l(d).
-2*d
Let g(l) = -6*l**3 + 4*l**2 + 4*l - 4. Let k(h) = -11*h**3 + 7*h**2 + 8*h - 7. Give -7*g(z) + 4*k(z).
-2*z**3 + 4*z
Let i(y) = -4*y**2 - 4 + 5*y**3 - 2*y**3 - 5*y + 2*y - 2. Let j = -12 - -7. Let g(q) = 4*q**3 - 5*q**2 - 4*q - 7. Give j*i(n) + 4*g(n).
n**3 - n + 2
Let u(w) = 8 - 11 + 5 + 2*w. Let f(j) = -2*j - 1. What is 4*f(r) + 3*u(r)?
-2*r + 2
Let u(k) = -9*k + 5. Let z(m) be the second derivative of m**4/6 - m**3/3 + 3*m**2/2 - m. Let o(c) be the first derivative of z(c). What is -5*o(s) - 2*u(s)?
-2*s
Suppose -2*k + 0*k + 8 = -t, 3 = -t + k. Let d(w) = -1 + 3 + w + 1. Let l(g) = 1. What is t*d(a) - 7*l(a)?
2*a - 1
Let m(k) = 36*k**3 - 3*k**2 - 38*k**3 + 3 + 7*k**2. Let c(b) = -6*b**3 + 11*b**2 + 8. Give 3*c(u) - 8*m(u).
-2*u**3 + u**2
Let z(s) = -2*s + 13. Let a(y) = 2*y - 12. Determine 7*a(u) + 6*z(u).
2*u - 6
Let p(l) be the third derivative of -l**5/15 - l**4/24 + l**3/2 + 13*l**2. Let c(x) = -3*x**2 - x + 2. Give 3*c(z) - 2*p(z).
-z**2 - z
Let h(r) = -7*r - 89. Let x(l