= 0. Calculate w.
0
Let o(b) be the first derivative of b**7/1260 - b**6/270 - b**5/180 + b**4/18 - 4*b**3 - 5. Let l(w) be the third derivative of o(w). Factor l(t).
2*(t - 2)*(t - 1)*(t + 1)/3
Let b(j) = -2*j - 9. Let w be b(-6). Let h = -1293 - -1295. Solve 0 - 1/4*v**w - v - v**h = 0.
-2, 0
Suppose -2*t - 4*m = 0, -2*m + 0*m = 3*t - 4. Suppose 8/5 + 0*y - 2/5*y**t = 0. Calculate y.
-2, 2
Let r(o) be the second derivative of o**5/10 + o**4/2 + o**3 + o**2 + 37*o. Let r(z) = 0. Calculate z.
-1
Suppose -8*b + 10*b - 8 = 0. Find k, given that 3*k**2 - 16*k - b - 2*k**3 - 13*k**2 - 4 = 0.
-2, -1
Let y(w) = w**3 - 2*w - 1. Let s(g) = 4*g**3 - 3*g**2 - 4*g - 3. Let k(f) = s(f) - 3*y(f). Factor k(m).
m*(m - 2)*(m - 1)
Let n(y) be the second derivative of 2*y**7/63 + 4*y**6/15 + 4*y**5/15 - 2*y**4/3 - 10*y**3/9 + y + 164. What is z in n(z) = 0?
-5, -1, 0, 1
Let c(o) be the third derivative of o**10/30240 - o**8/840 + o**6/45 + 13*o**4/8 - 19*o**2. Let g(s) be the second derivative of c(s). Factor g(h).
h*(h - 2)**2*(h + 2)**2
Let j(w) be the second derivative of w**5/140 + 3*w**4/7 + 281*w. Factor j(t).
t**2*(t + 36)/7
Let s(u) = -u**2 - 12*u + 33. Let m be s(-17). Let l = m - -55. Factor 0*i + 8/3 - 2*i**2 - 2/3*i**l.
-2*(i - 1)*(i + 2)**2/3
Let z(m) be the third derivative of -1/156*m**4 + 0 + 0*m**5 - 45*m**2 + 1/780*m**6 + 0*m**3 + 0*m. Suppose z(j) = 0. What is j?
-1, 0, 1
Let k(f) = -37 + 2*f + f - 32 + 30. Let s be k(13). Find p such that 3/5*p**2 + 0*p + 0*p**4 + s - 9/5*p**3 + 12/5*p**5 = 0.
-1, 0, 1/2
Suppose 2*y - 4*l + 12 = -2*y, 4*y + 3*l = 9. Suppose 6 + y = 2*d. Solve 0*x + 2/9*x**d - 2/9*x**5 + 0 + 2/9*x**2 - 2/9*x**4 = 0 for x.
-1, 0, 1
Let i be ((-4)/7)/(20/(-70)). Suppose 5*w - 3*v + 9 = 0, 5*w + 10 = i*v + 4. Suppose -1/5*s**4 + 2/5*s**2 + 0 + w*s - 1/5*s**3 = 0. Calculate s.
-2, 0, 1
Let h(c) be the first derivative of -2/3*c**3 + 14*c + 6*c**2 + 22. Factor h(q).
-2*(q - 7)*(q + 1)
Let y be 2*(35/2)/5. Suppose 4*i - 12 = 5*m, -y*m = 4*i - 4*m - 44. Solve -11*g**3 + i*g**3 - 3*g**5 - 3*g**2 + 3*g**4 + 6*g**3 = 0.
-1, 0, 1
Let t(k) = -76*k**2 - 302*k + 8. Let a be t(-4). Suppose a - 2/11*n**2 + 6/11*n = 0. What is n?
0, 3
Determine g so that -30*g + 0*g**3 + 19*g**2 + 17*g**2 - 11*g**2 + 5*g**3 = 0.
-6, 0, 1
Suppose -n - 3 = -6. Factor -n*s**2 - 7*s + 9*s + 10*s + 13*s**2 + 2.
2*(s + 1)*(5*s + 1)
Let y(o) be the third derivative of -o**7/42 + 7*o**6/24 + o**5/4 - 275*o**4/24 - 125*o**3/3 - 39*o**2. Factor y(q).
-5*(q - 5)**2*(q + 1)*(q + 2)
Let c(o) be the first derivative of -25*o**4/4 + 20*o**3/3 + 5*o**2/2 - 87. Factor c(g).
-5*g*(g - 1)*(5*g + 1)
Let c(q) be the second derivative of 5*q**4/12 + 60*q**3 - 365*q**2/2 + 262*q. Find m such that c(m) = 0.
-73, 1
Let y(o) = -10 - 12*o**2 - 3 + 6*o**2 + 32*o + 6. Let b be y(5). Factor -4/5*r**2 + 2/5*r + 0 - 6/5*r**b.
-2*r*(r + 1)*(3*r - 1)/5
Let z(c) = 20*c**2 + 2*c - 2. Suppose -x = -6*x + 15. Let h(b) = 21*b**2 + b - 2. Let a(r) = x*z(r) - 4*h(r). Factor a(q).
-2*(3*q - 1)*(4*q + 1)
Find a such that -505/3*a**3 + 196520/3 - 5610*a**2 - 179180/3*a - 5/3*a**4 = 0.
-34, 1
Let q = -17 - -19. Factor 3*k**3 - 4*k + 86 - 86 - q*k**2 - k**3.
2*k*(k - 2)*(k + 1)
Let w(i) be the first derivative of -4/5*i + 4/15*i**3 + 1/5*i**2 - 53 - 1/10*i**4. Find f, given that w(f) = 0.
-1, 1, 2
Suppose -4*y + 46 = 19*y. Let n(w) be the first derivative of -4 - 1/9*w**3 + 0*w + 1/6*w**y. Find k such that n(k) = 0.
0, 1
Let r be 832/585 + 0 + 5 + (-434)/70. Let 1/9*z**2 + 0 - r*z = 0. What is z?
0, 2
Let c(g) be the third derivative of g**7/840 + g**6/120 - g**5/120 - g**4/8 + 3*g**3/8 - 27*g**2. Factor c(h).
(h - 1)**2*(h + 3)**2/4
Let o(x) = 8*x**2 + 12*x - 48. Let w(g) = 7*g**2 + 11*g - 46. Let c(l) = -5*o(l) + 6*w(l). Factor c(z).
2*(z - 3)*(z + 6)
Let o(j) = -83*j**2 + 1272*j - 134824. Let z(v) = -31*v**2 + 424*v - 44941. Let k(p) = -3*o(p) + 8*z(p). Suppose k(d) = 0. Calculate d.
212
Let c(y) be the first derivative of -20/11*y**3 + 29/11*y**2 - 12/11*y - 14 + 7/22*y**4. Find v, given that c(v) = 0.
2/7, 1, 3
Suppose -405 = 5*f + u, f = -4*u - 72 - 28. Let j be ((-6)/5)/(24/f). Solve -j*m - 7/3*m**2 + 4/3 = 0 for m.
-2, 2/7
Let m be (-1 + (-83)/(-77))/(50/(-160)). Let h = 2/55 - m. Factor -h*w**2 + 4/7 + 2/7*w.
-2*(w - 2)*(w + 1)/7
Factor 4802 - 8*n**2 + 8*n**2 + 196*n + 10*n**2 - 6*n**2 - 2*n**2.
2*(n + 49)**2
Let j = -1725 + 1727. Factor 18/5*u**j + 12/5 - 4/5*u**3 + 34/5*u.
-2*(u - 6)*(u + 1)*(2*u + 1)/5
Let t(v) be the third derivative of v**10/604800 - v**8/26880 - v**7/10080 + 3*v**5/20 - 4*v**2. Let k(a) be the third derivative of t(a). Factor k(o).
o*(o - 2)*(o + 1)**2/4
Suppose -11*t**3 + 20*t**2 - 28*t + 55*t**3 + 12 - 48*t**3 = 0. Calculate t.
1, 3
Factor 1/4*a**2 + 0 + 7*a.
a*(a + 28)/4
Let j(b) = -13*b**2 - 29*b + 15. Let a(f) = -f - 94*f**2 + 95*f**2 + f + f - 1. Let h(z) = 14*a(z) + 2*j(z). Suppose h(u) = 0. Calculate u.
-4, 1/3
Let p(f) be the first derivative of 5/4*f**2 + 25/4*f + 1/12*f**3 + 32. Solve p(a) = 0 for a.
-5
Let f(l) = l**2 + 19*l - 40. Let q be f(-21). Determine j so that 3/5*j - 8/5*j**q + 3/5*j**3 + 2/5 = 0.
-1/3, 1, 2
Let i(m) be the first derivative of m**4/30 + m**3/15 - 6*m**2/5 - 37*m + 34. Let j(b) be the first derivative of i(b). Determine x so that j(x) = 0.
-3, 2
Let r(q) be the second derivative of 1/105*q**7 - 1/75*q**6 + 0*q**3 - 1/10*q**4 + 0*q**2 - 1/10*q**5 + 0 + 7*q. Factor r(d).
2*d**2*(d - 3)*(d + 1)**2/5
Let h = -13117 - -13119. Suppose 32/5 + 4*g**3 + 112/5*g + 88/5*g**h = 0. What is g?
-2, -2/5
Factor -3/7 - d**2 + 10/7*d.
-(d - 1)*(7*d - 3)/7
Let h = -1887/46 - -150/23. Let t = -33 - h. Solve t*q + 1 - q**2 = 0.
-1/2, 2
Let r(q) = 6*q**4 - q**3 - 8*q - 5. Let d(w) = -5*w**4 + w**3 + 2*w**2 + 8*w + 4. Let i(a) = 5*d(a) + 4*r(a). Find x, given that i(x) = 0.
-2, -1, 0, 4
Suppose -5*o - 52 = -m, 0 = 5*o - 0*m - 2*m + 54. Let w be (39/65 + (-9)/o)/3. Let -1/2*k**2 - w*k + 0 = 0. What is k?
-1, 0
Let 189/2 - 3/2*h**2 + 3*h = 0. What is h?
-7, 9
Let z be 674*2/(-150) + 9. Let l(o) be the second derivative of -4/15*o**3 + 1/5*o**4 + z*o**6 + 0 + 8*o - 2/25*o**5 + 1/5*o**2. Factor l(a).
2*(a - 1)**4/5
Let h(r) be the first derivative of -2*r**3/15 + 14*r**2/5 - 98*r/5 + 176. Suppose h(i) = 0. What is i?
7
Let x(n) be the third derivative of n**8/50400 - n**7/3150 - 3*n**5/10 - 8*n**2. Let d(h) be the third derivative of x(h). Solve d(k) = 0 for k.
0, 4
Let r be (-13)/2*308/(-1001). Factor 1/3*l**r - 1/6*l + 0 - 1/6*l**3.
-l*(l - 1)**2/6
Let i(u) be the third derivative of 1/12*u**4 + 0 + 0*u - 15*u**2 - 1/30*u**5 + 0*u**3 - 1/60*u**6 + 1/105*u**7. Let i(y) = 0. What is y?
-1, 0, 1
Let h(n) = -n**2 - 4*n + 2. Let b(w) = -6*w**2 - 12*w + 12. Let q(u) = -b(u) + 2*h(u). Factor q(i).
4*(i - 1)*(i + 2)
Suppose 22*j - 40 = 14*j. Let g(z) be the second derivative of -2*z**4 - 57/8*z**3 + 0 + 7*z - 3/16*z**j - 27/4*z**2. Solve g(r) = 0 for r.
-3, -2/5
Let b be 32/8*(-27)/4. Let y = b - -30. Factor 5*r**2 - 5*r**3 - y*r**2 + 0*r**3 + 4*r**3 + r - 2.
-(r - 2)*(r - 1)*(r + 1)
Let y(i) be the second derivative of 0*i**4 + 3/70*i**5 + 13*i + 0*i**2 + 1/105*i**6 + 0 - 4/21*i**3. Factor y(f).
2*f*(f - 1)*(f + 2)**2/7
Let d(r) be the first derivative of 0*r + 2/5*r**5 - 1/3*r**6 + 10 + r**4 + 0*r**2 + 0*r**3. Solve d(f) = 0 for f.
-1, 0, 2
Let h(j) be the second derivative of -2/9*j**3 + 0 + 4/3*j**2 - 14*j + 1/15*j**5 - 2/9*j**4. Factor h(n).
4*(n - 2)*(n - 1)*(n + 1)/3
Let p(a) be the third derivative of 2*a**7/35 + 37*a**6/40 + 69*a**5/20 - 85*a**4/8 - 25*a**3/2 + 199*a**2. Factor p(l).
3*(l - 1)*(l + 5)**2*(4*l + 1)
Let t be 0/(-1 - -4 - 4). Factor 30*p - 24 + 4*p**2 + 3*p**2 + t*p + 2*p**2.
3*(p + 4)*(3*p - 2)
Let d be -3 + (-312)/((-8)/2). Let u be d/10 + (-2)/(-4). Factor -6*j**2 - 6*j**4 + 4*j**3 + 2*j**4 - u*j + 8 + 6*j**4.
2*(j - 1)**2*(j + 2)**2
Factor 17/5*r + 7/5*r**2 + 9/5 - 1/5*r**3.
-(r - 9)*(r + 1)**2/5
Factor -4*c**3 + 30*c + 8*c**2 + 22*c - 56*c.
-4*c*(c - 1)**2
Let k(o) be the second derivative of o**6/120 - o**5/40 - o**4/48 + o**3/12 + 2*o + 490. Factor k(q).
q*(q - 2)*(q - 1)*(q + 1)/4
Let d(l) be the first derivative of 4*l + 5/24*l**4 + 3 + 5/8*l**5 + l**2 - 4/3*l**3. Let t(s) be the first derivative of d(s). Factor t(x).
(x + 1)*(5*x - 