 -2*d**2 + d**4 + 2/3*d**3 + 0*d - 2/5*d**s + 1. Factor w(k).
-2*k*(k - 2)*(k - 1)*(k + 1)
Suppose k + 2*v = -3 + 8, v = -k + 4. Factor -16*l**2 + 0*l**2 - 4*l**k + 11*l - 23*l.
-4*l*(l + 1)*(l + 3)
Factor -4 - 1/5*v**2 + 21/5*v.
-(v - 20)*(v - 1)/5
Suppose -28 = -l - 4*j, -l + j + 3 = -0. Determine c, given that -l*c**3 + 8*c - c**4 + c**4 - 2*c**4 - 2*c**4 + 4*c**2 = 0.
-2, -1, 0, 1
Let w(r) be the first derivative of -2*r**4/7 - 4*r**3/7 + 10*r**2/7 + 24*r/7 + 745. Factor w(j).
-4*(j + 1)*(j + 2)*(2*j - 3)/7
Factor 0 + 2/5*p**2 - 3/5*p**3 - 1/2*p**4 - 1/10*p**5 + 4/5*p.
-p*(p - 1)*(p + 2)**3/10
Let v(a) = -a**3 - 6*a**2 + 4*a + 5. Let p be v(-6). Let k = -16 - p. Factor -2*l**4 - 15*l**2 + 13*l**k - 7 - l**4 - l**4 + 7*l + 6.
-(l - 1)**3*(4*l - 1)
Suppose 166*b = 155*b. What is q in b - 10/17*q**2 - 2/17*q**4 + 4/17*q + 8/17*q**3 = 0?
0, 1, 2
Suppose -n + 2*n - 2*y - 49 = 0, 0 = -2*n - 3*y + 63. Let n*j - 3*j - 8 - 9*j**2 - 19*j**2 = 0. Calculate j.
2/7, 1
Let b(n) = 1. Let k(i) = 676*i**3 + 3848*i**2 - 1232*i + 104. Let g(a) = 8*b(a) - k(a). Solve g(v) = 0.
-6, 2/13
Let g(d) be the second derivative of d**9/1512 - d**8/210 + d**7/70 - d**6/45 + d**5/60 + d**3/6 + 2*d. Let k(x) be the second derivative of g(x). Factor k(r).
2*r*(r - 1)**4
Let q = 87 - 72. Let m be ((-10)/18)/(q/(-18)). Factor 1/3 + 2/3*j - m*j**3 - 1/3*j**4 + 0*j**2.
-(j - 1)*(j + 1)**3/3
Factor 44/13 + 18/13*g - 2/13*g**2.
-2*(g - 11)*(g + 2)/13
Let d(b) be the third derivative of -b**8/112 - 2*b**7/35 - 3*b**6/20 - b**5/5 - b**4/8 - 101*b**2. Factor d(q).
-3*q*(q + 1)**4
Let w = -51 + 59. Factor 0*j**2 + 8*j**2 + 0*j**4 - 13*j + 4*j**5 - w*j**4 + 9*j.
4*j*(j - 1)**3*(j + 1)
Let s(o) be the second derivative of o**7/40 - o**6/60 - 7*o**3/3 - 8*o. Let u(n) be the second derivative of s(n). Let u(l) = 0. Calculate l.
0, 2/7
Let d be (3/(18/(-4)))/(8/(-24)). Factor 4*z**2 + 10*z**2 + 5*z - 4*z**d + 5*z**5 - 5 - 11*z**4 + 6*z**4 - 10*z**3.
5*(z - 1)**3*(z + 1)**2
Let q = -14 + 48. Suppose -31*w + q*w = 0. Determine d, given that -2*d**2 + w*d**3 - 2*d**3 + 0*d**2 + 4*d**2 + 2*d**5 - 2*d**4 = 0.
-1, 0, 1
Let k = 1550 + -1547. Let h(y) be the third derivative of 1/180*y**5 + 1/2*y**k - y**2 + 0 + 0*y + 1/12*y**4. Factor h(x).
(x + 3)**2/3
Let j(w) be the second derivative of w**5/5 - 41*w**4/12 - 17*w**3/3 + 11*w**2/2 - 472*w. Factor j(h).
(h - 11)*(h + 1)*(4*h - 1)
Let g(l) be the third derivative of -l**6/72 - l**5/6 - 5*l**4/6 + l**3/3 + 16*l**2. Let y(t) be the first derivative of g(t). Determine v so that y(v) = 0.
-2
Let f(g) be the third derivative of -g**7/315 + g**6/90 + g**5/18 - g**4/6 - 10*g**2 - 7*g. Factor f(l).
-2*l*(l - 3)*(l - 1)*(l + 2)/3
Let u = -208/11 - -8331/440. Let j(l) be the third derivative of l**3 + 0 + u*l**6 + l**2 - 1/8*l**4 - 1/10*l**5 + 0*l. Factor j(x).
3*(x - 2)*(x - 1)*(x + 1)
Let k(r) = 10*r**4 + 18*r**3 - 3*r**2 - 6*r - 2. Let m(u) = 11*u**4 + 20*u**3 - 2*u**2 - 8*u - 3. Let q(s) = -3*k(s) + 2*m(s). What is c in q(c) = 0?
-2, -1/4, 0, 1/2
Let s(j) = -j + 15. Let a be s(16). Let k be ((-8)/6)/(-1) + a. Solve 0 + 0*c - 1/3*c**2 + k*c**3 = 0.
0, 1
Factor 3*z**2 + 1/2*z**3 + 9/2*z + 0.
z*(z + 3)**2/2
Let c be 3 - (-13 - (-4 + -10)). Determine t, given that -1/2*t - 1 + 1/4*t**c + 1/8*t**3 = 0.
-2, 2
What is p in 7 + 9 + p**2 - 40 + 23*p = 0?
-24, 1
Suppose -56*v**3 - 36 + 31*v**4 + 8*v**2 + 60*v - 19*v**4 - 2*v**5 - 2*v**5 + 16*v**4 = 0. Calculate v.
-1, 1, 3
Suppose -14 + 50 = 18*h. Let j(z) be the third derivative of 1/40*z**6 + 1/210*z**7 + 0*z**3 + 1/24*z**4 + 0 + 0*z + 1/20*z**5 + 2*z**h. Factor j(u).
u*(u + 1)**3
Let q = 111969/19 - 5893. Suppose q*x**2 + 0 + 0*x = 0. Calculate x.
0
Let v = -102 + 104. Let -4*g**3 + 11*g**v - 6*g**2 - g**3 = 0. What is g?
0, 1
Let r(b) be the first derivative of -b**4/12 + 5*b**3/9 - 4*b**2/3 + 4*b/3 + 12. What is u in r(u) = 0?
1, 2
Let s(d) be the second derivative of 0 + 0*d**2 - 3/10*d**5 - 2*d**4 - 5/7*d**7 + 26/15*d**6 + 4/3*d**3 - 60*d. Let s(r) = 0. What is r?
-2/3, 0, 2/5, 1
Let p(t) = t**2 + 2*t - 12. Let m(d) = 5*d + 15. Let w be m(-4). Let g be p(w). Factor 0*c + 0*c**2 + 0 - 2/3*c**g.
-2*c**3/3
Let l(z) be the first derivative of 0*z**2 - 1/7*z**5 + 4/7*z - 9/14*z**4 - 17/21*z**3 + 13. Solve l(v) = 0 for v.
-2, -1, 2/5
Let f(d) be the second derivative of 3/10*d**5 + 0 + 1/10*d**6 + 0*d**4 + 0*d**3 - 12*d + 0*d**2. Factor f(j).
3*j**3*(j + 2)
Find i such that 41*i**4 - 90*i**4 + 4*i**3 + 6*i**2 + 48*i**4 - 5 - 4*i = 0.
-1, 1, 5
Let o be (8/12)/((-2)/(-15)). Find v such that -3*v**2 + 7*v**2 - o*v**2 + v = 0.
0, 1
Let u be 0 + (5 + -2 - -3). Suppose -f + 8 = -a - u, 5*a + 40 = 2*f. Find h, given that 6*h**2 - h**2 - 67 + f*h + 67 = 0.
-2, 0
Let v(i) be the first derivative of 0*i + 1/5*i**5 + 1/48*i**6 + 1/2*i**2 - 41 + 21/32*i**4 + 11/12*i**3. Find p such that v(p) = 0.
-4, -2, -1, 0
Let y(n) be the second derivative of -20/3*n**4 + 5/42*n**7 + 40*n**2 + 0*n**3 + 0 + 1/2*n**6 + 33*n - n**5. Suppose y(q) = 0. What is q?
-2, 1, 2
Let h be ((-9)/6 - 0)*22. Let v = 35 + h. Factor -2/3*j**v - 8/3*j - 2.
-2*(j + 1)*(j + 3)/3
Solve 7*v**3 - 13*v**3 - 14*v**3 - 902*v**2 - 136*v + 391*v**2 + 163*v**2 = 0.
-17, -2/5, 0
Suppose 14 = 4*s - 2. Factor -2*x**2 + 3*x + 3*x**3 - 3*x - 3*x + 5*x**2 - 3*x**s.
-3*x*(x - 1)**2*(x + 1)
Suppose -2*d - 12 = -36. Suppose -24*s**3 - 3*s + 4*s**4 + 3*s + 12*s**5 + d*s - 8*s**2 + 4 = 0. Calculate s.
-1, -1/3, 1
Factor 11*z**4 + 16*z**2 - 7*z**5 - 22*z**3 + 7*z**5 - 4*z**3 - z**5.
-z**2*(z - 8)*(z - 2)*(z - 1)
Suppose -10*a + 6 + 675*a**3 + 695*a**4 + 6 + 26*a**5 - 12 + 205*a**2 + 209*a**5 = 0. What is a?
-1, 0, 2/47
Let r(c) be the third derivative of -4*c**2 - 5*c + 72*c**3 + 1/20*c**5 + 0 - 3*c**4. Let r(l) = 0. Calculate l.
12
Let n(t) be the first derivative of -t**4/8 + 5*t**3/2 - 12*t**2 - 32*t + 270. Solve n(w) = 0 for w.
-1, 8
Let v be 2 + (-6)/4 - 45/(-10). Let y be v/20 - (-1)/(-4). Find p, given that 2/13*p**4 + 0*p + y + 4/13*p**3 - 6/13*p**2 = 0.
-3, 0, 1
Suppose -3*n + 4 = -p - 8, -5*n + 2*p = -20. Suppose -n*o + 2*o = 12*o. Suppose 2/3*l**4 + 0*l**2 + 0*l + o + 2/3*l**3 = 0. Calculate l.
-1, 0
Solve 0*p + 0 - 1/3*p**5 + 0*p**3 + p**4 - 4/3*p**2 = 0 for p.
-1, 0, 2
Let p = -26/283 - -3012/1981. Determine i so that -2/7*i**2 - p*i - 6/7 + 2/7*i**3 = 0.
-1, 3
Let m(c) be the second derivative of c**9/83160 - c**8/9240 + c**7/3465 + 7*c**4/12 + 8*c. Let p(u) be the third derivative of m(u). Find z such that p(z) = 0.
0, 2
Suppose -15 = -3*d, 0*u - 3 = 4*u - 3*d. Suppose f = -u*f. Suppose -21*l - l**2 - 6*l**3 + 25*l + 2*l**4 - l**2 + f*l**2 + 2*l**5 = 0. What is l?
-2, -1, 0, 1
Let r(c) be the second derivative of c**5/20 - c**4/2 + c**2 + 3*c. Let z be r(6). Factor 3*f**3 - 3*f**2 + 4*f**2 - 3*f**z - f**4.
-f**2*(f - 2)*(f - 1)
Let a(k) = -37*k**3 - 128*k**2 - 98*k + 40. Let t(u) = -38*u**3 - 127*u**2 - 97*u + 40. Let h(s) = -3*a(s) + 2*t(s). Factor h(l).
5*(l + 2)**2*(7*l - 2)
Let p(j) = -j**5 + 15*j**4 - 21*j**3 - 4*j**2 + 21*j - 3. Let r(c) = -c**5 + 13*c**4 - 20*c**3 - 4*c**2 + 22*c - 2. Let q(l) = 2*p(l) - 3*r(l). Factor q(i).
i*(i - 6)*(i - 2)**2*(i + 1)
Let v be (126/630)/(2*9/40). Let h(f) be the second derivative of 7*f + 0 - v*f**2 + 7/54*f**4 + 4/9*f**3. Factor h(y).
2*(y + 2)*(7*y - 2)/9
Let u(v) = 4*v**2 - 8*v + 24. Let a(j) = -4*j**2 + 12*j - 24. Let z(f) = -3*a(f) - 2*u(f). Factor z(h).
4*(h - 3)*(h - 2)
Let t(o) be the second derivative of -7*o**6/30 - 19*o**5/10 - 5*o**4/4 + 22*o + 4. Factor t(a).
-a**2*(a + 5)*(7*a + 3)
Let j(q) = -2*q**3 - 661*q**2 - 12476*q - 2745. Let z(w) = -w**3 - w**2 + w + 1. Let x(s) = -3*j(s) - 21*z(s). Factor x(g).
3*(g + 37)**2*(9*g + 2)
Solve 56*d + 96*d**2 - 98*d**2 + 29*d - 23*d = 0.
0, 31
Let u be ((-352)/(-168) - 2)/((-2)/(56/(-4))). Factor u - 1/6*a**3 + 2/3*a - 1/6*a**2.
-(a - 2)*(a + 1)*(a + 2)/6
Determine z so that 4/9*z - 2/9*z**4 + 0*z**2 - 4/9*z**3 + 2/9 = 0.
-1, 1
Let y(i) be the third derivative of -i**5/210 + 5*i**4/84 + 2*i**3/7 + 80*i**2. Factor y(x).
-2*(x - 6)*(x + 1)/7
Let l = 3381 + -10141/3. Find v, given that -l*v - 2/3*v**3 - 4/3*v**2 + 0 = 0.
-1, 0
Suppose 7/2*y**4 - 13/2*y**3 - 3/2*y**2 + 0 + 9*y - 1/2*y**5 = 0. What is y?
-1, 0, 2, 3
Let g = 17357 + -17357. Factor -2/7*b**5 + 0*b**2