 7*j**2/4 - 1. Factor u(z).
z*(z - 7)*(z - 1)/2
Factor -3/2*h**2 - 3*h + 0.
-3*h*(h + 2)/2
Factor -30*k**3 + 18*k**3 + 10*k**3 + 10*k**3 - 48 + 64*k + 60*k**2.
4*(k + 2)*(k + 6)*(2*k - 1)
Factor -161*u**3 + 0*u**3 - 7350*u**2 + 21*u**3 + 153565 - u**4 - 1654190 - 171500*u.
-(u + 35)**4
Let y(b) be the first derivative of 5/2*b**2 - 1/3*b**4 - 1/120*b**6 + 0*b + 7/60*b**5 - 8/3*b**3 - 6. Let k(x) be the second derivative of y(x). Factor k(j).
-(j - 4)**2*(j + 1)
Suppose 980*l = 1002*l - 726. Determine y, given that -l*y**2 - 141/4*y - 15/2 - 21/4*y**3 = 0.
-5, -1, -2/7
Let l = -19/463 - -1249/7871. Factor -l*t**2 + 2/17*t**3 + 0*t + 0.
2*t**2*(t - 1)/17
Let v(b) be the second derivative of b**6/150 - 27*b**5/100 + 13*b**4/4 - 169*b**3/30 - 40*b. Factor v(d).
d*(d - 13)**2*(d - 1)/5
Let z = 3431 - 10292/3. Factor z*j - 2/3*j**2 + 1/3*j**3 + 0.
j*(j - 1)**2/3
Factor 2*r**2 - 5*r**5 + 15*r**3 + 9*r**2 - 21*r**2.
-5*r**2*(r - 1)**2*(r + 2)
Let z = 13 + 3. Let a = 18 - z. Factor 6*s**a + 2 + 4*s**3 + s + 2*s + 3*s - 2*s**3.
2*(s + 1)**3
Let r(f) be the second derivative of -f**8/3864 - 8*f**2 - 21*f. Let v(t) be the first derivative of r(t). Find a such that v(a) = 0.
0
Let c(r) be the third derivative of -1/900*r**6 + 0 + 0*r - 1/180*r**4 - 8*r**2 + 1/225*r**5 + 0*r**3. Suppose c(j) = 0. What is j?
0, 1
Let v(a) be the third derivative of a**6/720 - a**5/24 - 11*a**4/48 - 17*a**3/36 + 59*a**2. What is q in v(q) = 0?
-1, 17
Let b(y) be the first derivative of -256*y**3/9 + 352*y**2/3 - 484*y/3 - 430. Let b(t) = 0. What is t?
11/8
Let v(g) = -9*g**2 + g**3 + 8*g + 9 + 9 - 13. Let f be v(8). Factor 2/3*t**f + 0*t**2 + 0*t**3 + 0*t + 2/3*t**4 + 0.
2*t**4*(t + 1)/3
Let v(x) be the first derivative of -x**3 - 27*x**2/2 - 54*x + 12. Determine c so that v(c) = 0.
-6, -3
Let g = -60 + 63. Let d(v) be the first derivative of 0*v - 2*v**2 - 1/2*v**4 - 4 + 2*v**g. Factor d(y).
-2*y*(y - 2)*(y - 1)
What is y in -14*y**2 - 18667*y - 10*y**3 - 6*y**4 + 18661*y + 4*y**4 = 0?
-3, -1, 0
Let x(f) be the third derivative of -f**8/84 + f**6/10 - 2*f**5/15 - f**2 - 9*f. Factor x(d).
-4*d**2*(d - 1)**2*(d + 2)
Suppose -3*i + 10*i = 14. Let 1 + 4*p**i + 44*p**4 - 4*p - 46*p**4 - 3 + 8*p**3 - 4*p**5 = 0. What is p?
-1, -1/2, 1
Let z(v) be the third derivative of -v**5/45 - 2*v**4/3 - 22*v**3/9 - 5*v**2 + 11*v. Factor z(s).
-4*(s + 1)*(s + 11)/3
Let y(j) be the second derivative of 2*j**6/135 - 4*j**5/15 + 14*j**4/9 - 104*j**3/27 + 14*j**2/3 - 157*j. Factor y(p).
4*(p - 7)*(p - 3)*(p - 1)**2/9
Let r(o) be the third derivative of -o**8/784 - 11*o**7/1470 - o**6/56 - 3*o**5/140 - o**4/84 + 7*o**2. Factor r(n).
-n*(n + 1)**3*(3*n + 2)/7
Let m(k) = 2*k**3 + 11*k**2 + 3*k + 5. Let y be m(-4). Let t = y - 38. Let 0*u + 1/3*u**5 - 7/3*u**2 + u**4 + 4/3 - 1/3*u**t = 0. What is u?
-2, -1, 1
Suppose 14*u = 11 + 17. Let n be (-1)/4 - 52/(-16). Factor 4/3*w**u + 0 - 2/3*w**n - 2/3*w**4 + 0*w.
-2*w**2*(w - 1)*(w + 2)/3
Let x(g) be the second derivative of -g**4/4 + 41*g**3 - 5043*g**2/2 + 73*g + 2. Suppose x(t) = 0. What is t?
41
Let a = 2/20435 + 8168/61305. Factor 4/15*w**3 + 2/5*w**4 - 2/5*w - 4/15*w**2 - a + 2/15*w**5.
2*(w - 1)*(w + 1)**4/15
Suppose 148/3*p**3 + p**4 + 848/3*p**2 - 1/3*p**5 + 576*p + 1024/3 = 0. Calculate p.
-4, -1, 16
Suppose -5*k + 7*k - 128 = 0. Factor 36*n**4 - 7*n**5 + k*n**2 + 2*n**5 - 16*n**3 - 80*n**3 + n**5.
-4*n**2*(n - 4)**2*(n - 1)
Let x be (-10)/25 - (-2)/5. Let i(u) be the third derivative of x*u - 1/180*u**6 + 0*u**4 + 0*u**3 + 6*u**2 + 0*u**5 + 0. Factor i(y).
-2*y**3/3
Let f = 473/294 + 17/294. Find g, given that 8/3*g + 1/3*g**2 - f*g**4 - 7/3*g**3 - 1/3*g**5 + 4/3 = 0.
-2, -1, 1
Let k(a) = 108*a + 650. Let x be k(-6). Factor -1/3 - 3*f**2 - x*f.
-(3*f + 1)**2/3
Determine b so that -3/2 - 3*b**2 - 3/4*b**3 - 15/4*b = 0.
-2, -1
Let m(z) be the third derivative of 1/40*z**5 + 7/8*z**4 + 0*z + 32*z**2 + 49/4*z**3 + 0. Factor m(g).
3*(g + 7)**2/2
Suppose -7 = 3*v - 15 - 4. Factor 5/4*j**v + 0*j - 5/4*j**3 - 5/4*j**2 + 0 + 5/4*j**5.
5*j**2*(j - 1)*(j + 1)**2/4
Suppose 3*h - 22 = -16. Factor 7*q + 42*q**4 + 0*q**h - 45*q**4 - 3*q**3 - 4*q + 3*q**2.
-3*q*(q - 1)*(q + 1)**2
Factor -1/7*v**5 - 4/7*v**4 + 0*v + 0 - 4/7*v**3 + 0*v**2.
-v**3*(v + 2)**2/7
Let w = -28 - -20. Let b be (-8)/6*12/w. Find y such that -17*y + 8 + 0*y**2 - 3*y**b + 11*y**2 - 3*y = 0.
1/2, 2
Let t(s) be the third derivative of 1/40*s**5 - 5*s**2 - 1/120*s**6 + 0*s + 0*s**4 - 7/6*s**3 + 0. Let x(i) be the first derivative of t(i). Factor x(p).
-3*p*(p - 1)
Suppose -24/5*x + 36/5 + 4/5*x**2 = 0. What is x?
3
Let p(c) be the first derivative of 243*c**5/20 + 2079*c**4/16 + 407*c**3/2 - 351*c**2/2 + 42*c + 358. Determine j so that p(j) = 0.
-7, -2, 2/9
Suppose -2*l - p + 6 = -2*p, 2*p - 23 = -3*l. Factor 0*a + l + a + 4*a + 5*a**2 - 5*a**3 - 10.
-5*(a - 1)**2*(a + 1)
Let m(o) be the second derivative of o**5/20 - o**4/12 - o**3/3 + 172*o. Let m(d) = 0. What is d?
-1, 0, 2
Let b(j) be the third derivative of 1/60*j**4 + 0*j**3 + 0*j + 6*j**2 - 1/600*j**6 + 0 - 1/300*j**5. Factor b(z).
-z*(z - 1)*(z + 2)/5
Let q be 2 + 44/33 - 1*0/2. Factor 16/3 + 12*t - q*t**2.
-2*(t - 4)*(5*t + 2)/3
Let k(y) = 2*y**2 - y - 4. Let h = -28 - -31. Let u(m) = -m**2 - 3*m - 1. Let v be u(-4). Let p(n) = 3*n**2 - n - 7. Let w(d) = h*p(d) + v*k(d). Factor w(r).
-(r - 1)**2
Let y(m) = -22*m - 611. Let i be y(-28). Factor -13*w**3 - 3/2*w**i - 7*w**4 - 12*w**2 - 11/2*w - 1.
-(w + 1)**4*(3*w + 2)/2
Let l(u) = -u**5 + u**4 - u**3 + u**2 + 1. Let x(q) = q - 4*q - q**5 - 3*q**4 + 8*q**4 + 1. Suppose -3*w - 46 = -43. Let s(o) = w*x(o) + 2*l(o). Factor s(n).
-(n - 1)*(n + 1)**4
Let u(q) = q**2 - 5*q + 5. Let d be u(5). Determine h so that 6*h**3 + 15*h**4 + 6*h**2 - 3*h - 3 + h**5 - 18*h**4 + 2*h**d - 6*h**5 = 0.
-1, 1
Let i(z) be the second derivative of 1/96*z**4 + 1/6*z**3 - 1/336*z**7 - 1/48*z**6 - 2*z - 7/160*z**5 + 0 + 1/4*z**2. Find v such that i(v) = 0.
-2, -1, 1
Let l be 2/11 - 23226/(-154). Let o = 111 + l. Let o - 6*v**3 - 262 - 8*v**4 + 2*v**2 = 0. Calculate v.
-1, 0, 1/4
Let q(w) be the second derivative of -w**7/13860 + w**6/1980 - w**5/660 + 4*w**4/3 + 2*w. Let o(p) be the third derivative of q(p). Factor o(r).
-2*(r - 1)**2/11
Let l(g) = 3*g**3 - 4*g**2 + 12*g. Let u be l(7). Let x = 11927/13 - u. Let x*s - 2/13*s**2 - 4/13 = 0. Calculate s.
1, 2
Factor 3/2*x**2 + 0 + 3/4*x**5 + 0*x + 0*x**4 - 9/4*x**3.
3*x**2*(x - 1)**2*(x + 2)/4
Suppose -2*c + 11 = -y - 7, 2*y - 5*c = -36. Let t be (27/y)/((-4)/6). Factor -3/2 + t*z - 3/4*z**2.
-3*(z - 2)*(z - 1)/4
Let w = -80 - -74. Let u be (6*2/(-8))/w. Find a, given that 1/2*a - u*a**2 - 1/4 = 0.
1
Let a be -1*5*3/3. Let o be ((-2)/(-4))/(a/(-50)). Let p(h) = -10*h**2 - 2*h + 2. Let i(c) = 11*c**2 + 3*c - 2. Let f(u) = o*i(u) + 6*p(u). Factor f(n).
-(n - 1)*(5*n + 2)
Factor s**5 + 1639*s**2 + 3*s**3 + 3*s**4 - 1615*s**2 - 9*s**3 - 24*s**3 + 2*s**5.
3*s**2*(s - 2)*(s - 1)*(s + 4)
Find w, given that -112*w**2 - 4*w**3 - 67*w - 170*w - 291*w = 0.
-22, -6, 0
Let f(l) be the second derivative of l**7/84 + l**6/6 + 11*l**5/20 - l**4 - 21*l**3/4 + 27*l**2/2 + 427*l. Solve f(b) = 0.
-6, -3, 1
Let r(v) = -3*v + 2*v**2 - 6 - 2*v + 7*v - 2. Let j(d) = d**2 + 1. Let i(x) = 2*j(x) + r(x). Let g(a) = a**2 - a. Let k(l) = 8*g(l) - i(l). Factor k(m).
2*(m - 1)*(2*m - 3)
Solve -4/13*c**2 + 2/13*c**5 - 6/13*c + 4/13*c**3 - 2/13 + 6/13*c**4 = 0 for c.
-1, 1
Let s(c) be the second derivative of 5*c**7/168 - 7*c**6/24 + 5*c**5/8 + 5*c**4/24 - 55*c**3/24 + 25*c**2/8 + 20*c + 7. Factor s(x).
5*(x - 5)*(x - 1)**3*(x + 1)/4
Let r(u) = -u**2 + 13*u + 11. Let k be r(13). Suppose -4 = -5*c + k. Find l, given that 3/2 - 45/2*l**c + 21/2*l**2 + 21/2*l = 0.
-1/3, -1/5, 1
Factor 22*q**3 - 2*q**4 - 6*q + 2779*q**2 - 2729*q**2 + 32*q.
-2*q*(q - 13)*(q + 1)**2
Let y be (-462)/(-98) + (-2)/(-7). Let a(z) be the first derivative of 4/25*z**y + 0*z + 2 + 0*z**2 + 0*z**3 + 1/15*z**6 + 1/10*z**4. Factor a(n).
2*n**3*(n + 1)**2/5
Let x(n) be the first derivative of -6*n**2 - 6*n - 8 + 3/4*n**4 + 0*n**3 - 3/20*n**5. Let a(i) be the first derivative of x(i). Factor a(u).
-3*(u - 2)**2*(u + 1)
Let h = -162 - -169. Let c(b) be the third derivative of 6*b**2 + 0*b + 0 - 143/300*b**6 - 2/15*b**3 - 121/1050