actor -k**2 + 3*k**d - k**2 - 3*k**2 - 6*k.
-2*k*(k + 3)
Let a = 13 - 9. Suppose -4*q = 16, 0 = -u - a*u - q + 21. Factor -4*m**2 + 5*m**u + 4*m**4 - 3*m**5 - 2*m + 0*m**4.
2*m*(m - 1)*(m + 1)**3
Let m(i) be the second derivative of 1/2*i**3 + i - 1/4*i**4 + 0 + 0*i**2. Factor m(y).
-3*y*(y - 1)
Let q(p) be the second derivative of p**4/54 - p**2/9 - 8*p. Factor q(f).
2*(f - 1)*(f + 1)/9
Let m(k) be the first derivative of -k**5/10 - 3*k**4/4 - 11*k**3/6 - 3*k**2/2 - 1. Factor m(z).
-z*(z + 1)*(z + 2)*(z + 3)/2
Suppose -4*r + 3 - 15 = 0. Let x be 1 + (-2 - -3)*r. Let i(v) = v + 1. Let k(f) = -f**2 - 10*f - 9. Let y(h) = x*k(h) - 14*i(h). What is b in y(b) = 0?
-2, -1
Let t be (3 - 0 - 3) + 4. Let l(i) be the second derivative of -1/12*i**t + 0 + 0*i**2 + 1/6*i**3 - i. Solve l(s) = 0 for s.
0, 1
Let i(b) be the third derivative of b**5/300 + b**4/20 + 4*b**3/15 + 28*b**2. Suppose i(q) = 0. Calculate q.
-4, -2
Let y(m) be the second derivative of m**6/10 - 3*m**5/20 - 3*m**4/4 + m**3/2 + 3*m**2 - 7*m. Let y(z) = 0. Calculate z.
-1, 1, 2
Let f = 8 - 5. Find u such that u**2 - 39*u**4 - 5*u**2 + 18*u**f + 25*u**4 = 0.
0, 2/7, 1
Let 50 - 5*z**2 + 45*z - 124 + 34 = 0. What is z?
1, 8
Let d(v) be the first derivative of 1/3*v**3 + 1/30*v**5 - 2 - v**2 + 0*v - 1/6*v**4. Let i(a) be the second derivative of d(a). Factor i(r).
2*(r - 1)**2
Let z(y) = -y**2 + 8*y - 3. Let j be z(8). Let v = -3 - j. Factor 0 + v*x + 1/4*x**2 + 1/4*x**3.
x**2*(x + 1)/4
Factor -6/19*z + 4/19*z**3 + 2/19 - 6/19*z**4 + 4/19*z**2 + 2/19*z**5.
2*(z - 1)**4*(z + 1)/19
Let j(a) = a**3 - a**2 - a - 1. Let n(v) = -4*v**3 + 2*v**2 + 8*v + 6. Let p(b) = -6*j(b) - n(b). Factor p(m).
-2*m*(m - 1)**2
Let u be (-4)/(0 + -2 + 0). Factor -2 + 1 - r**2 - r**2 + 3*r**u.
(r - 1)*(r + 1)
Let b(h) = h**2 - 1. Let u be (7 + -9)/(2/(-3)). Let s(i) = -2*i**2 + i + 3. Let x(f) = u*b(f) + s(f). Factor x(j).
j*(j + 1)
Solve 4/5*g**2 + 0 + 6/5*g**3 + 2/5*g**4 + 0*g = 0 for g.
-2, -1, 0
Let r(l) = l + 20. Let c = -22 - -4. Let y be r(c). Determine a, given that -1/6*a**4 + 1/3*a**3 - 1/6*a**y + 0 + 0*a = 0.
0, 1
Let i(b) = -2*b**3 + 85*b**2 - 400*b + 323. Let v(q) = -q**3 + 85*q**2 - 400*q + 324. Let g(f) = -4*i(f) + 3*v(f). Factor g(l).
5*(l - 8)**2*(l - 1)
Let q(x) = -2*x**2 + 3*x - 4. Suppose -c = -2 + 4. Let f = 5 + c. Let i(z) = -z**2 + 2*z - 3. Let u(b) = f*i(b) - 2*q(b). Factor u(l).
(l - 1)*(l + 1)
Determine l, given that 125*l + 0 - 25*l**2 + 5/4*l**3 = 0.
0, 10
Suppose -4*c - 4 = -4*t, -2*c = c - t - 1. Suppose b + b - 3*n = -2, 2*n = 3*b - 2. Suppose -1 + c - o**2 + b*o**4 - o**2 = 0. What is o?
-1, 0, 1
Solve 0 + 1/6*m - 1/6*m**2 = 0.
0, 1
Let o(c) be the third derivative of c**6/24 + c**5/6 - 25*c**4/24 - 5*c**3 - 10*c**2. Suppose o(a) = 0. What is a?
-3, -1, 2
Factor 2/7*j**3 - 4/7*j**2 + 0 - 16/7*j.
2*j*(j - 4)*(j + 2)/7
Let o(m) be the second derivative of m**4/4 - m**2 + 2*m. Let n = 4 + -7. Let j(d) = -4*d**2 + 3. Let b(g) = n*o(g) - 2*j(g). Solve b(i) = 0 for i.
0
Suppose -3*f**5 + 101*f**3 + 12*f**4 - 101*f**3 = 0. What is f?
0, 4
Factor -59*z + 578*z**2 + 8 + 0 - 77*z.
2*(17*z - 2)**2
Let b = -4 + 4. Let l = b + 2. Let -1/4*y**l + 0*y + 1/4 = 0. Calculate y.
-1, 1
Solve 0 - 4/5*x**3 + 0*x - 2/5*x**2 - 2/5*x**4 = 0 for x.
-1, 0
What is c in -2/7*c**2 - 2/7*c**5 + 2/7*c**3 + 0 + 2/7*c**4 + 0*c = 0?
-1, 0, 1
Let a(g) = g + 11. Let m be a(-9). Let v(o) be the first derivative of 1/20*o**5 + 1/16*o**4 - 1/24*o**6 + 1 + 0*o**m + 0*o - 1/12*o**3. Factor v(y).
-y**2*(y - 1)**2*(y + 1)/4
Let x be 4/32 + 45/24. Let f be (6/(-2))/((-2)/x). Determine p so that 0*p**2 + 2/3*p**f + 0*p + 0 + 2/3*p**4 = 0.
-1, 0
Find w, given that 1/3*w**5 + w - 2*w**4 + 4*w**3 - 10/3*w**2 + 0 = 0.
0, 1, 3
Let q(a) = -a**2 - 10*a + 14. Let g be q(-11). Let n be 42/18 - 1/g. Suppose -28*j**3 - 13/4*j + 15*j**n + 16*j**4 + 1/4 = 0. Calculate j.
1/4, 1
Let v(z) be the first derivative of -1/42*z**4 + z - 1 - 4/7*z**2 - 4/21*z**3. Let u(w) be the first derivative of v(w). Factor u(b).
-2*(b + 2)**2/7
Let q = 91 + -89. Let 8/9 - 2*a**q + 32/9*a = 0. What is a?
-2/9, 2
Let v be 1 + -1 - 0/(-1). Suppose 5*w = -0 + 10. What is s in v*s**w + 3/4*s - 1/4*s**3 + 1/2 = 0?
-1, 2
Factor 2/9 + 4/9*z**2 - 5/9*z - 1/9*z**3.
-(z - 2)*(z - 1)**2/9
Determine m, given that -1/8*m**2 + 3/4 - 1/8*m = 0.
-3, 2
Let j = -42 + 66. Let 24*d + 21*d + 20*d**3 - 68*d**2 - 16 - 5*d + j*d = 0. What is d?
2/5, 1, 2
Let q(n) be the second derivative of -2*n**6/15 + n**4/3 + 20*n. Find h, given that q(h) = 0.
-1, 0, 1
Let j(v) = v**2 + 7*v + 1. Let u(q) = -q**2 - q - 1. Let d(a) = -a**2 - 11*a + 2. Let c be d(-11). Let z(s) = c*j(s) + 6*u(s). Determine o, given that z(o) = 0.
1
Let j(w) be the third derivative of -w**8/336 - w**7/210 + w**6/60 + w**5/30 - w**4/24 - w**3/6 - 6*w**2. Factor j(i).
-(i - 1)**2*(i + 1)**3
Let l(b) be the third derivative of -b**5/12 - 25*b**4/24 - 10*b**3/3 + 32*b**2. Let l(q) = 0. Calculate q.
-4, -1
Let b = -793/3 - -267. Find m, given that 2*m**2 - b + 0*m + 2/3*m**3 = 0.
-2, 1
Let b(y) be the second derivative of -25/168*y**7 + 1/4*y**6 + y - 1/4*y**4 + 0*y**2 + 0 + 11/80*y**5 - 1/6*y**3. Solve b(n) = 0 for n.
-2/5, 0, 1
Suppose -3*i - 5*l = -1 - 1, -4*l - 8 = 0. Factor -z**4 + 5*z**3 - 3*z**3 + i*z**4 - 2*z**4 + z**2.
z**2*(z + 1)**2
Let i(l) be the second derivative of l**6/360 + l**5/120 - l**3/3 + 4*l. Let d(p) be the second derivative of i(p). Factor d(t).
t*(t + 1)
Let o(l) be the second derivative of l**4/42 - 3*l. Factor o(k).
2*k**2/7
Let y(b) be the first derivative of b**6/420 + b**5/105 + b**4/84 - b**2/2 - 7. Let h(n) be the second derivative of y(n). Factor h(g).
2*g*(g + 1)**2/7
Determine v so that 2*v - 4*v - 2*v + 36*v**2 - 46*v**2 = 0.
-2/5, 0
Let u(c) be the third derivative of -c**8/112 - c**7/35 + c**5/10 + c**4/8 + 9*c**2. Find v, given that u(v) = 0.
-1, 0, 1
Let i(w) = -3*w - 3 - 1 + 3*w**2 + 0. Let m(h) = 5*h**2 - 5*h - 7. Suppose 0 = -4*r + 7*r - 21. Let o(x) = r*i(x) - 4*m(x). Determine y, given that o(y) = 0.
0, 1
Let y(o) be the second derivative of -o**4/48 - o**3/4 - o**2 + 14*o. Solve y(i) = 0 for i.
-4, -2
Suppose -s = -2*z + 5, 5*z = s + 10 + 7. Let f be s + -1 + -5 + 7. Factor -2*x + 3*x**3 - 3*x**3 - x**3 - x**3 - f*x**2.
-2*x*(x + 1)**2
Let s(l) be the first derivative of 1/2*l**3 + 0*l + 3/2*l**2 - 9/8*l**4 - 4. Factor s(j).
-3*j*(j - 1)*(3*j + 2)/2
Let i(u) be the third derivative of u**9/27216 + u**8/15120 - u**7/7560 - u**6/3240 + u**3/3 - 6*u**2. Let x(d) be the first derivative of i(d). Factor x(t).
t**2*(t - 1)*(t + 1)**2/9
Let c(r) be the second derivative of r**9/7560 + r**8/3360 - r**7/1260 - r**6/360 - 5*r**4/12 - r. Let w(a) be the third derivative of c(a). Factor w(h).
2*h*(h - 1)*(h + 1)**2
Let i = -141 - -145. Let 2/3*d**2 + d**3 + 1/6*d + 0 + 2/3*d**i + 1/6*d**5 = 0. Calculate d.
-1, 0
Let k = 43/75 - 6/25. Solve 0 + k*s**2 + 1/3*s = 0 for s.
-1, 0
Suppose -l - 2*l = 0. Factor -b - 4*b**2 + 0*b + 0*b + l*b**3 - 3*b**3.
-b*(b + 1)*(3*b + 1)
Let w(d) be the second derivative of -d**9/19656 + d**7/5460 + 7*d**3/6 + 5*d. Let t(l) be the second derivative of w(l). Solve t(b) = 0 for b.
-1, 0, 1
Solve 0 + 0*y + 1/2*y**2 - 1/2*y**5 - 3/2*y**3 + 3/2*y**4 = 0.
0, 1
Factor -2/11*l**2 - 24/11*l - 72/11.
-2*(l + 6)**2/11
Factor -3/7*g**4 - 3/7*g**3 + 0 + 3/7*g + 3/7*g**2.
-3*g*(g - 1)*(g + 1)**2/7
Let g(c) be the second derivative of 2*c**7/7 + 11*c**6/10 + 27*c**5/20 + c**4/4 - c**3/2 + 10*c. Factor g(u).
3*u*(u + 1)**3*(4*u - 1)
Let g(t) be the first derivative of 2*t**6/3 - 4*t**5/5 - 2*t**4 + 8*t**3/3 + 2*t**2 - 4*t - 4. Factor g(l).
4*(l - 1)**3*(l + 1)**2
Let r(d) = -7*d**2 - 15*d + 8. Let i(x) = 34*x**2 + 75*x - 41. Let n(v) = 2*i(v) + 11*r(v). Factor n(k).
-3*(k + 2)*(3*k - 1)
Let t(i) be the second derivative of -i**7/12600 + i**6/1200 - i**4/3 + i. Let l(d) be the third derivative of t(d). Suppose l(u) = 0. What is u?
0, 3
Let c(u) be the first derivative of u**8/1848 + 2*u**7/1155 + u**6/660 - u**2/2 + 3. Let m(z) be the second derivative of c(z). Factor m(j).
2*j**3*(j + 1)**2/11
Let s(m) be the second derivative of -6*m**7/49 + 13*m**6/105 + 5*m**5/14 - 5*m**4/14 - m**3/3 + 2*m**2/7 - 16*m. Find l, given that s(l) = 0.
-1, -1/2, 2/9, 1
Let o be 12/(-10)*-5 -