 0
Let n be 2/5 + 4758/30. Factor -n*c**2 + 9 + 184*c**2 + 31 - 65*c.
5*(c - 1)*(5*c - 8)
Let i(m) be the second derivative of m**10/6048 - m**9/1512 - 3*m**4/4 - 16*m. Let j(b) be the third derivative of i(b). Factor j(a).
5*a**4*(a - 2)
Let q = -68 - -273/4. Let k(f) be the second derivative of 7/4*f**3 - 3/2*f**2 + 0 - 21/40*f**5 + q*f**4 + 2*f. Solve k(l) = 0 for l.
-1, 2/7, 1
Let q(u) = -5*u**4 - 10*u**3 + 5*u**2 + 14*u - 4. Let m(z) = -10*z**3 + 5*z**2 - z**4 - 4*z**4 + 2 - 5 + 15*z - 2. Let s(d) = 4*m(d) - 5*q(d). Factor s(t).
5*t*(t - 1)*(t + 1)*(t + 2)
Let o(h) be the third derivative of -h**7/70 - 3*h**6/40 - 3*h**5/20 - h**4/8 - 2*h**2 - 16*h. Factor o(w).
-3*w*(w + 1)**3
Find g, given that -156*g**4 + 40*g**5 - 23*g**2 + 236*g**3 - 4*g + 64*g - 60*g**2 - 89*g**2 - 8 = 0.
2/5, 1/2, 1
Let a = -2428 + 2428. Factor 3/2*q**2 + a + 15/2*q.
3*q*(q + 5)/2
Let g(v) = -v + 1. Let m be g(-3). Find f such that -m*f + 2*f**3 + 4*f**2 + f**2 - 7*f**2 = 0.
-1, 0, 2
Solve 2*q + 0*q - 1338*q**3 + 2*q**5 + 1334*q**3 = 0 for q.
-1, 0, 1
Let k(m) = -23*m**2 - 43*m - 20. Let o(c) be the first derivative of 12 + 10*c + 11/3*c**3 + 21/2*c**2. Let w(f) = -6*k(f) - 13*o(f). Factor w(u).
-5*(u + 1)*(u + 2)
Let i(o) be the second derivative of o**7/168 - o**6/30 + o**5/80 + 5*o**4/24 - o**3/6 - o**2 + 2*o - 6. Factor i(j).
(j - 2)**3*(j + 1)**2/4
Let j(z) be the second derivative of -z**4/12 + 59*z**3/6 + 30*z**2 - 73*z. Factor j(g).
-(g - 60)*(g + 1)
Let b(d) be the third derivative of 7*d**5/12 - 15*d**4/4 + 20*d**3/3 + 83*d**2. Factor b(w).
5*(w - 2)*(7*w - 4)
Let f(a) = 6*a**3 + 25*a**2 + 46*a + 19. Let w(y) = -12*y**3 - 51*y**2 - 90*y - 37. Let l(z) = -10*f(z) - 6*w(z). Factor l(i).
4*(i + 2)**2*(3*i + 2)
Let r = -36 - -39. Factor 1/2*y**2 - 2/3*y**r + 1/6*y**4 - 2/3 + 2/3*y.
(y - 2)**2*(y - 1)*(y + 1)/6
Let i(m) be the first derivative of 3*m**5 - 5*m**4/4 - 10*m**3/3 + 153. Factor i(q).
5*q**2*(q - 1)*(3*q + 2)
Let r(v) be the first derivative of v**6/90 - 2*v**5/15 + v**4/2 - 14*v**3/3 - 7. Let x(y) be the third derivative of r(y). Solve x(t) = 0.
1, 3
Let a be (108/90)/((-2)/(-5)). Suppose -3*d - 4*j = j + 19, -a*d = -4*j - 26. Factor 4/3 + 0*y - 1/3*y**d.
-(y - 2)*(y + 2)/3
Let d(x) be the second derivative of 1/3*x**4 - 2/5*x**6 + 4*x + 0 + 0*x**3 + 0*x**2 + 2/5*x**5. Factor d(r).
-4*r**2*(r - 1)*(3*r + 1)
Let o = 17978/3 - 5992. Find i, given that 1/3 + o*i + 1/3*i**2 = 0.
-1
Let s = -77 + 80. Factor 10*t**2 - 2*t**5 + 6*t**s - 2*t**4 + 5*t + 3*t - 4*t.
-2*t*(t - 2)*(t + 1)**3
Factor 70*u**3 + 480*u + 640 - 30*u**3 + 90*u**2 - 35*u**3.
5*(u + 2)*(u + 8)**2
Let d(n) = -5*n**3 - 12*n**2 + 23*n. Let j(p) = -5*p**3 - 11*p**2 + 24*p. Let f be (-16)/(-24)*(-2 + 11). Let a(w) = f*d(w) - 7*j(w). Let a(o) = 0. What is o?
-3, 0, 2
Let h be (-798)/(-95) - (-2)/(-5). Find q, given that 5*q**5 + 2*q**4 - 8*q**2 + 8*q**2 + h*q**4 - 15*q**3 = 0.
-3, 0, 1
Let b(u) be the first derivative of u**7/280 - u**6/60 - u**5/40 + u**4/4 - 5*u**3/3 + 18. Let v(x) be the third derivative of b(x). Factor v(h).
3*(h - 2)*(h - 1)*(h + 1)
Let s(m) be the first derivative of m**3/3 + 4*m**2 + 7*m - 286. Factor s(h).
(h + 1)*(h + 7)
Let z(h) be the first derivative of -4*h**2 - 3*h - 2*h**3 + 0*h**4 + 5 + 1/5*h**5. Find y such that z(y) = 0.
-1, 3
Factor 324 - 41*l**2 + l**2 + 89*l**2 - 10*l + 262*l.
(7*l + 18)**2
Let g be (-52)/(-96) - 1/(-8). Suppose 4*b - 2 + 0 = -t, 5*b + 5*t - 10 = 0. Find n such that 0*n + g*n**4 + 0*n**3 + b*n**2 + 0 = 0.
0
Suppose 33*x**3 + 25*x**3 - 48*x**3 - 5*x**4 = 0. Calculate x.
0, 2
Let d be (-4 - (-46)/11) + 25/(-440). Let a(v) be the second derivative of -1/20*v**5 + d*v**4 + 0 - 1/12*v**3 + 8*v + 0*v**2. Suppose a(p) = 0. Calculate p.
0, 1/2, 1
Factor -4/3 - 11*d**2 + 9*d**3 - 40/3*d.
(d - 2)*(3*d + 2)*(9*d + 1)/3
Let x(p) be the second derivative of -p**6/45 + 7*p**5/15 + 8*p**4/3 + 50*p**3/9 + 17*p**2/3 + 279*p. Factor x(f).
-2*(f - 17)*(f + 1)**3/3
Let k(b) be the third derivative of -b**7/16380 + b**6/520 + 5*b**4/6 - 36*b**2. Let v(r) be the second derivative of k(r). Factor v(t).
-2*t*(t - 9)/13
Let k(d) be the second derivative of d**6/345 - 17*d**5/230 + 15*d**4/46 - 43*d**3/69 + 14*d**2/23 - 249*d. Factor k(j).
2*(j - 14)*(j - 1)**3/23
Solve -81/7 - 19/7*i**2 - 99/7*i - 1/7*i**3 = 0 for i.
-9, -1
Let g be (29/(2030/(-40)))/((-2)/42). Let j(m) be the second derivative of 0 + 0*m**2 - g*m + 0*m**3 - 1/4*m**4 + 3/20*m**5. Solve j(o) = 0.
0, 1
Let g be ((-74)/16)/1 - (-411 + 406). Let 3/4*u - 3/4*u**3 - g*u**2 + 3/8*u**4 + 0 = 0. What is u?
-1, 0, 1, 2
Let b = -23979 - -23979. What is g in -4/3*g**2 + 2/3*g**4 + b*g + 0 + 2/3*g**3 = 0?
-2, 0, 1
Suppose g + 4 = 2*g. Solve -21*n**g - 49*n**2 + 85*n**2 - 6*n - 45*n**2 + 36*n**3 = 0 for n.
-2/7, 0, 1
Let f be (-4)/10 - 295/(-300). Let h = -1/12 + f. Factor 0 - 1/2*z**2 + h*z**3 - 1/2*z + 1/2*z**4.
z*(z - 1)*(z + 1)**2/2
Let l(k) be the second derivative of -k**4/12 + k**3/6 - k. Let j(a) = 2*a**3 + 10*a**2 + 26*a + 16. Let d(r) = -j(r) + 2*l(r). Let d(m) = 0. What is m?
-2
Suppose n + 0*n - 3 = 0. Let f be (-1)/4*(-11 - 51/15). Factor 8/5*p**n - f*p**2 - 2/5 + 12/5*p.
2*(p - 1)**2*(4*p - 1)/5
Let k(i) be the second derivative of -11/40*i**5 - 1/6*i**3 + 0*i**2 + 6*i + 13/24*i**4 + 0. Factor k(v).
-v*(v - 1)*(11*v - 2)/2
Let j(s) = 5*s**2 - 8*s - 20. Let v(r) = 2*r**2 - 2*r - 6. Let q(w) = -3*j(w) + 8*v(w). Factor q(z).
(z + 2)*(z + 6)
Suppose 3*y + 3*a - 11 - 7 = 0, 0 = -y + 5*a - 18. Factor 0 - 2/7*f + 2/7*f**y.
2*f*(f - 1)/7
Let o(x) = -53*x**2 + 20*x + 1. Let l(n) be the second derivative of 13*n**4/3 - 10*n**3/3 + 14*n. Let p(c) = 6*l(c) + 4*o(c). Determine y, given that p(y) = 0.
1/5
Suppose -17 = -4*y + 5*a, y + 4 = 4*a - 0. Let t be 2/7 + (-19)/(-7). Determine c so that -t*c**2 - 9 - 7 - y*c + 2*c**3 + 7*c**2 = 0.
-2, 2
Let i = 4475/4 + -22533/20. Let x = i + 47/5. Factor -x*z + 3/2 - 3/2*z**2 + 3/2*z**3.
3*(z - 1)**2*(z + 1)/2
Let o(m) be the second derivative of -m**4/15 + 26*m**3/15 + 82*m. Factor o(q).
-4*q*(q - 13)/5
Let q = -26/3 + 9. Let y be 2 - 1 - (0 + 6 + -5). Factor -q*n**2 + y + 2/3*n.
-n*(n - 2)/3
Let c = -206741/8 + 25843. What is i in 0 - 3/8*i**4 - c*i**3 + 15/8*i**2 - 9/8*i = 0?
-3, 0, 1
Let i be (-19)/1 + 79234/4122. Factor -14/9*k**3 - 4*k**2 - i*k**4 - 40/9*k - 16/9.
-2*(k + 1)*(k + 2)**3/9
Let z(t) be the second derivative of t**4/3 + 5*t**3/6 - 15*t**2 + 15*t. Let u(m) = 5*m**2 + 4*m - 31. Let x(b) = -5*u(b) + 6*z(b). Factor x(k).
-(k - 5)**2
Let p(q) = -5*q**4 + q**3 - 4*q + 5. Let z(x) = -x + 1. Let b(t) = -t**4 - t**3 - 2*t + 3. Let y(g) = b(g) - 2*z(g). Let u(s) = -p(s) + 3*y(s). Factor u(l).
2*(l - 1)**3*(l + 1)
Let y(q) = -q + 8. Let t be y(6). Let 2*c**2 + 11*c - 2*c**2 - c + 5*c**t = 0. Calculate c.
-2, 0
Let u(r) = r**2 - 26*r + 26. Let h be u(33). Let d = -253 + h. Solve 0*s + 0*s**2 - 2/11*s**d + 0 + 0*s**3 = 0 for s.
0
Let v = 430/1701 + 8/243. Determine h so that 0 + v*h + 6/7*h**3 - 8/7*h**2 = 0.
0, 1/3, 1
Determine p so that 15625/7 + 75/7*p**2 + 1875/7*p + 1/7*p**3 = 0.
-25
Let r(t) = 15*t**2 - 90*t - 425. Let u(p) = -p**2 + 1. Suppose -m - 4*m = l - 11, -1 = -5*l + 2*m. Let k(j) = l*r(j) + 20*u(j). Determine b so that k(b) = 0.
-9
Let 1296*w**2 + 2/3*w**4 + 48*w**3 + 15552*w + 69984 = 0. Calculate w.
-18
Suppose w - 2 = -0*w, 2*w = h + 1. Let g(f) be the third derivative of 9/10*f**h + 1/100*f**5 + 0 + 0*f - 3/20*f**4 - 6*f**2. What is t in g(t) = 0?
3
Let o(s) be the second derivative of s**7/14 + 3*s**6/10 - 9*s**5/20 - 11*s**4/4 - 3*s**3 - 124*s. Solve o(v) = 0.
-3, -1, 0, 2
Let a(x) be the second derivative of 2*x**7/63 + x**6/5 + 2*x**5/5 + 5*x**4/18 - 41*x - 2. Factor a(o).
2*o**2*(o + 1)**2*(2*o + 5)/3
Let m be (-710)/2982 - 4/(-7). Factor -1/3 + m*s**5 - s - 2/3*s**2 + s**4 + 2/3*s**3.
(s - 1)*(s + 1)**4/3
Let h(l) = -7*l**3 + 8*l**2 - 7*l. Let b(x) = -16*x**3 + 17*x**2 - 15*x. Let p(z) = 3*b(z) - 7*h(z). Solve p(a) = 0 for a.
0, 1, 4
Let t be (-2 - (1 + -1))*1. Let j = t - -5. Factor a - a**j - 1 - 2*a**2 - 3*a**2 + 6*a**2.
-(a - 1)**2*(a + 1)
Let u be 10/(-6)*(32 - 35). Solve -2/5*h**u + 2/5*h**3 + 0*h - 2/5*h**2 + 2/5*h**4 + 0 = 0.
-1, 0, 1
Let g(y) be the first derivative of -y**6/15 - 6*y**5/25 - y**4/5 - 65. Suppose g(u) = 0. Wh