2 - 2*q**3/5 - 30*q**2. Factor f(c).
-2*(c - 3)*(c - 2)/5
Factor 0*q**2 - 293 - q**2 + 2*q + 296.
-(q - 3)*(q + 1)
Let k(t) = -2*t + 12. Let f be k(6). Factor 0*r + 2/7*r**5 + 8/7*r**3 + f*r**2 - 8/7*r**4 + 0.
2*r**3*(r - 2)**2/7
Let k(v) be the third derivative of 0*v**4 + 0*v**3 - v**2 - 1/60*v**5 + 0*v + 0 - 1/120*v**6 + 1/210*v**7 + 1/336*v**8. Factor k(g).
g**2*(g - 1)*(g + 1)**2
Suppose 10*d = 14*d - 8. Let s be 12/(-108)*(-4)/d. Find n, given that -2/9*n**3 - 2/3*n**2 + s*n + 4/9 + 2/9*n**4 = 0.
-1, 1, 2
Let q(f) be the first derivative of -f**5/15 - 23*f**4/36 - 59*f**3/27 - 19*f**2/6 - 2*f + 15. Suppose q(t) = 0. Calculate t.
-3, -1, -2/3
Let w be -1 - 2*(-17)/14. Factor -2/7 + w*i - 8/7*i**2.
-2*(i - 1)*(4*i - 1)/7
Let y(k) = 4*k**3 - k**2 + k - 1. Let a(x) = x + 10. Let n be a(-9). Let j be y(n). Solve -2*s**3 - s**j + 0*s**3 + s**4 + 0*s**3 + 2*s**2 = 0 for s.
0, 1, 2
Let g(q) = 20*q**2 + 4*q - 6. Let v(z) = -z**2 + 1. Let m(w) = 2*g(w) + 44*v(w). Solve m(k) = 0.
-2, 4
Let o(s) be the third derivative of 0 - 5*s**2 + 0*s + 1/180*s**5 + 1/2*s**3 - 1/12*s**4. Factor o(w).
(w - 3)**2/3
Let n(u) be the third derivative of -u**5/4 - 5*u**4/12 + 5*u**3/6 - 5*u**2. Suppose n(s) = 0. What is s?
-1, 1/3
Let a(d) be the second derivative of d**9/25200 - d**8/2240 + d**7/600 - d**6/400 + 7*d**4/12 - 7*d. Let r(w) be the third derivative of a(w). Factor r(j).
3*j*(j - 3)*(j - 1)**2/5
Let o(f) = -f**5 + 8*f**4 + f**3 - f**2 - 7. Suppose 4*b + 2 - 22 = 0. Let g(z) = z**4 + b*z**3 - 1 - 5*z**3. Let q(v) = -14*g(v) + 2*o(v). Factor q(u).
-2*u**2*(u - 1)**2*(u + 1)
Let -11*u**2 + 2*u**2 + 3*u - 12*u**2 + 24*u**3 + 48*u**4 = 0. What is u?
-1, 0, 1/4
Let o be ((-2)/6)/((-17)/816). Let t be o/5 + 12/(-4). Factor f**2 - 3/5*f**3 - t*f + 0 - 9/5*f**4.
-f*(f + 1)*(3*f - 1)**2/5
Find t, given that -4/3 - 10/3*t - 8/3*t**2 - 2/3*t**3 = 0.
-2, -1
Let n(b) be the first derivative of -1 + 2/3*b**3 + 0*b**4 + 1/6*b**6 - 2/5*b**5 - 1/2*b**2 + 0*b. Factor n(i).
i*(i - 1)**3*(i + 1)
Let 16/7*w - 16/7 - 4/7*w**2 = 0. What is w?
2
Let p(d) be the first derivative of 6*d**4 + 46*d**3/3 + 13*d**2 + 4*d + 2. Factor p(a).
2*(a + 1)*(3*a + 2)*(4*a + 1)
Suppose 16 = 3*x + 1. Suppose -5*o + o + 21 = -x*g, -5*o + 48 = g. Factor -7*j**2 - 16*j - 2 - 16*j**2 - o*j**2.
-2*(4*j + 1)**2
Let v(h) = -5*h**3 - 1. Let m be v(-1). Find w, given that 2*w + m - 4 + 5*w**2 = 0.
-2/5, 0
Let 12*a**2 + 6 + 174*a**3 + 10*a - 3 - 168*a**3 + a**4 = 0. What is a?
-3, -1
Determine a so that -a**4 + 0*a**3 + 0 + 2/3*a**5 + 0*a + 1/3*a**2 = 0.
-1/2, 0, 1
Let y(l) be the third derivative of -l**8/504 - l**7/63 - l**6/18 - l**5/9 - 5*l**4/36 - l**3/9 - 4*l**2. Factor y(j).
-2*(j + 1)**5/3
Find c such that 64/3 + 16/3*c**3 - 2/3*c**5 - 32/3*c - 32/3*c**2 + 4/3*c**4 = 0.
-2, 2
Factor 578*h**2 - 2 + 578*h**2 + 3*h - 1157*h**2.
-(h - 2)*(h - 1)
Let i(d) be the second derivative of -d**4/24 + 12*d. Let i(u) = 0. What is u?
0
Let h(i) be the third derivative of 0 + 1/840*i**8 - 1/175*i**7 - 1/150*i**5 + 0*i**4 + 0*i + 0*i**3 + 11*i**2 + 1/100*i**6. Factor h(c).
2*c**2*(c - 1)**3/5
Suppose z + 1 = 8. Let r = -7 + z. Suppose 0 + 1/4*v**5 + 1/4*v**4 - 1/4*v**3 + r*v - 1/4*v**2 = 0. What is v?
-1, 0, 1
Let d be (324/(-450))/(-6)*(-5)/(-3). Factor d*o**4 - 3/5*o**3 + 0 + 3/5*o**2 - 1/5*o.
o*(o - 1)**3/5
Let c = 221 + -1987/9. Suppose c*t + 0*t**2 - 2/9*t**3 + 0 = 0. Calculate t.
-1, 0, 1
Let a(b) be the first derivative of 3*b**6/11 - 58*b**5/55 + 3*b**4/2 - 10*b**3/11 + 2*b**2/11 - 12. Suppose a(d) = 0. Calculate d.
0, 2/9, 1
Let p(c) = c**2 - c - 2. Let x be p(3). Suppose 0 = g - 3*f + 3, 5*g - g - 10 = f. Factor -6/5*d**x + 4/5*d**2 - 2/5*d**5 - 4/5*d**g + 2/5 + 6/5*d.
-2*(d - 1)*(d + 1)**4/5
Suppose 4*o - 8*o = -16. Let u(s) be the second derivative of 4*s + 1/20*s**o + 0*s**2 + 0 - 1/10*s**3. Suppose u(t) = 0. Calculate t.
0, 1
Let c(v) = -v**3 + v**2 + 2. Let g be c(0). Let y(o) be the first derivative of -2/9*o**3 + 0*o - 1/12*o**4 - 1/6*o**2 + g. Factor y(d).
-d*(d + 1)**2/3
Let d(l) = -l**3 - 8*l**2 - 7*l. Let k(j) = -4*j**3 - 31*j**2 - 28*j - 1. Let m(x) = -22*d(x) + 6*k(x). Factor m(i).
-2*(i + 1)**2*(i + 3)
Let x be 1/3 + 31/15. Let f be (-360)/25*(-6)/24. Factor -f - 2/5*h**2 + x*h.
-2*(h - 3)**2/5
Let p(n) = -27*n**3 - 26*n**2 + 55*n + 19. Let q(x) = -9*x**3 - 9*x**2 + 18*x + 6. Let v(l) = 2*p(l) - 7*q(l). Factor v(b).
(b - 1)*(b + 2)*(9*b + 2)
Let 16*f + 10 + f**4 + 2*f**2 - 2 - 2*f**5 - 14*f**3 - 11*f**4 = 0. What is f?
-2, -1, 1
Let u be 1078/(-455) + 4 + (-2)/5. Factor -56/13*s - u + 196/13*s**2 + 686/13*s**3.
2*(7*s - 2)*(7*s + 2)**2/13
Let x(o) be the third derivative of o**6/900 + o**5/450 - 6*o**2. Factor x(h).
2*h**2*(h + 1)/15
Let a = -4 - -7. Factor -34*i**2 - 1 - 4*i + 19*i - 1 + 21*i**a.
(i - 1)*(3*i - 1)*(7*i - 2)
Let y(g) be the first derivative of -1/3*g**3 + g - 1/4*g**4 + 1/2*g**2 - 1. Factor y(c).
-(c - 1)*(c + 1)**2
Factor -1/6*t**2 + 2 - 2/3*t.
-(t - 2)*(t + 6)/6
Let t(c) be the third derivative of c**8/420 + 2*c**7/525 - c**6/50 - c**5/15 - c**4/15 + 21*c**2. Factor t(b).
4*b*(b - 2)*(b + 1)**3/5
Let f(l) = -l - 1. Let w be f(-5). Let o = -2 + w. Suppose -1/4*t**o + 0 + 1/4*t**4 - 1/4*t**3 + 1/4*t = 0. What is t?
-1, 0, 1
Let p(n) be the second derivative of 2*n + 1/18*n**4 + 0*n**3 + 0 - 1/3*n**2. Factor p(x).
2*(x - 1)*(x + 1)/3
Suppose 4*s + 2 = 5*s. Solve -1 - 3/2*b - 1/2*b**s = 0.
-2, -1
Let b(j) = 15*j**3 - 20*j**2 + 8*j + 3. Let s(o) = 104*o**3 - 140*o**2 + 56*o + 20. Let n(h) = 20*b(h) - 3*s(h). Suppose n(i) = 0. Calculate i.
0, 2/3, 1
Let u be (-40)/28*(8/5)/(-4). Solve -2/7*k**3 + u*k**2 - 2/7*k**4 + 0*k + 0 = 0.
-2, 0, 1
Let c(r) = 5*r + 6 + 4*r - r**3 + 13*r**2 - 4*r**2 + 4. Let j be c(10). Factor 1/4*d**2 - 1/4 + j*d.
(d - 1)*(d + 1)/4
Let l = -2 + 2. Suppose -2*j + 4*j = l. Factor 2/9*w**2 + j*w - 2/9.
2*(w - 1)*(w + 1)/9
Let w(g) = g**2 - 19*g - 118. Let b be w(-5). Suppose 1/4*q**3 + 5/4*q**2 + b*q + 1 = 0. What is q?
-2, -1
Suppose 0 + 2/7*h**5 + 0*h - 2/7*h**3 - 8/7*h**2 + 8/7*h**4 = 0. Calculate h.
-4, -1, 0, 1
Let s(l) be the first derivative of 4*l**4 - 16*l**3 + 32*l**2 - 3 - 2/5*l**5 - 32*l. Factor s(f).
-2*(f - 2)**4
Let q(v) be the second derivative of -v**7/105 - 4*v**6/75 - 3*v**5/25 - 2*v**4/15 - v**3/15 - 24*v. Find d such that q(d) = 0.
-1, 0
Let r(k) = k + 7. Let m be r(-7). Suppose -2*w + 4 + 6 = 4*y, m = -4*y + 2*w - 2. Suppose -2*l**2 + y + 0*l**2 - 1 = 0. What is l?
0
Factor 0 - 4/13*v**2 + 2/13*v**4 + 0*v + 2/13*v**3.
2*v**2*(v - 1)*(v + 2)/13
Let f = -4 + 4. Suppose y - 2*y**3 + f*y + y**2 + y - 3*y**2 + 2 = 0. What is y?
-1, 1
Find p such that 16 - 14*p + 4*p**2 + 7*p + 27*p = 0.
-4, -1
Let z(u) = -2*u**3 - 5*u**2 + 7*u. Let q(g) = g**2 - g. Let n(h) = -5*q(h) - z(h). Factor n(k).
2*k*(k - 1)*(k + 1)
Let d(a) be the second derivative of -a**4/84 + 2*a**3/21 - 3*a**2/14 - 9*a. Factor d(i).
-(i - 3)*(i - 1)/7
Let w be 3/(-14*(3 + -4)). Let u(h) be the first derivative of 0*h**2 + 2/21*h**3 - w*h**4 + 2 + 4/35*h**5 + 0*h. Let u(d) = 0. Calculate d.
0, 1/2, 1
Let d(t) be the third derivative of -t**9/181440 + t**8/20160 + t**7/15120 - t**6/720 - t**5/10 - 5*t**2. Let o(r) be the third derivative of d(r). Factor o(g).
-(g - 3)*(g - 1)*(g + 1)/3
Let u(s) = -s + 8. Let z be u(6). Let d(x) be the second derivative of 4/15*x**3 + 1/30*x**4 + x + 4/5*x**z + 0. Factor d(w).
2*(w + 2)**2/5
Let x(y) be the second derivative of y**5/50 + y**4/30 - y**3/3 + 3*y**2/5 + 9*y. Factor x(z).
2*(z - 1)**2*(z + 3)/5
Let n(x) be the second derivative of x**7/2520 - x**5/120 - 7*x**4/12 - 2*x. Let z(g) be the third derivative of n(g). What is u in z(u) = 0?
-1, 1
Let p(o) be the third derivative of -o**7/735 + o**6/210 - 13*o**2. Factor p(q).
-2*q**3*(q - 2)/7
Let g = 35 - 18. Let y = 20 - g. Let -84*r**4 + 3/2 - 102*r**y + 33/4*r - 45/4*r**2 = 0. What is r?
-1, -1/4, 2/7
Find u such that 4/7*u**5 - 4*u**2 + 0 + 36/7*u**3 - 20/7*u**4 + 8/7*u = 0.
0, 1, 2
Suppose -3*s = 2*s - 15. Let 34 - 16*y**2 + 16*y - 34 + 4*y**s = 0. Calculate y.
0, 2
Let z(l) = -l**2 + l + 1. Let b(s) = 5*s**2 - 14*s - 22. Let u(h) = 5*b(h) + 30*z(h). Factor u(v).
-5*(v + 4)**2
Let k(a) be the second derivative of a**7/28 + 9*a**6/20 + 81*a**5/40 + 27*a**4/8 + 10*a. Factor k(j).
3*j*