 1734/11*z + 102/11*z**2 + 9826/11.
-2*(z - 17)**3/11
Let r(l) be the second derivative of l**8/840 + l**7/1050 + 4*l**2 + 19*l. Let m(f) be the first derivative of r(f). Factor m(t).
t**4*(2*t + 1)/5
Let w(z) = 4*z**3 + 11*z**2 + 23*z + 10. Let d(b) = b**3 + b**2 + b - 2. Let t(c) = -15*d(c) + 5*w(c). Factor t(x).
5*(x + 2)**2*(x + 4)
Let s(u) be the third derivative of u**7/2520 - 11*u**6/1080 + u**5/15 + u**4/2 - u**3 + 46*u**2. Let o(f) be the first derivative of s(f). Factor o(q).
(q - 6)**2*(q + 1)/3
Factor 3/5*q**3 + 0 - 12/5*q**2 + 9/5*q.
3*q*(q - 3)*(q - 1)/5
Let s(a) be the second derivative of a**4/72 - a**3/6 + 449*a. Let s(c) = 0. Calculate c.
0, 6
Let p(g) be the first derivative of -g**7/21 + g**6/5 - 3*g**5/10 + g**4/6 - 14*g + 20. Let d(k) be the first derivative of p(k). Factor d(f).
-2*f**2*(f - 1)**3
Let p be ((-4 - -3)*3 - -3)/(-3). Suppose p = -5*a + 5 - 0, 5*a = -4*n + 13. Factor -2/5*m**n + 4/5*m + 6/5.
-2*(m - 3)*(m + 1)/5
Let q be (3 - 0) + 5/(1900/(-1352)). Let b = 4/95 - q. Factor 1/5*n**2 + b*n + 0.
n*(n + 3)/5
Suppose -15 = -0*x - 3*x + 4*v, -3*x = -5*v - 12. Factor x*j**3 + 10*j**3 + 3*j - 18*j**3 + 3*j**2 + 1.
(j + 1)**3
Let x be (1/2)/((-2)/(-8)). Let z = -4829/6 + 805. Factor -z*o**x + 1/6 + 0*o.
-(o - 1)*(o + 1)/6
Let x(o) = 21*o**2 - 18*o - 27. Let f(i) = -i**2 - i - 6. Let l(p) = -18*f(p) - x(p). Factor l(s).
-3*(s - 15)*(s + 3)
Let m = -662 + 664. Find o, given that -4/5 - 12/5*o - 4/5*o**3 - 12/5*o**m = 0.
-1
Let -35*v - 25*v**3 + 307*v**2 + 10 - 727*v**2 + 350*v**2 = 0. Calculate v.
-2, -1, 1/5
Let s(f) be the third derivative of -f**6/180 - f**5/45 + f**4/36 + 2*f**3/9 - 3*f**2 + 23*f. Factor s(v).
-2*(v - 1)*(v + 1)*(v + 2)/3
Let m(y) be the first derivative of -2*y**3/21 - 184*y**2/7 - 16928*y/7 + 329. Factor m(v).
-2*(v + 92)**2/7
Suppose -3*v + 5*x = -v - 39, x = -3. Let z = 15 - v. Suppose 2 + 4*o - o**3 + 0*o**3 - 3*o**z - 2*o**4 = 0. What is o?
-1, 1
Let l(h) be the third derivative of 1/150*h**5 + 2/15*h**3 - 46*h**2 - 1/20*h**4 + 0*h + 0. What is k in l(k) = 0?
1, 2
Let z(l) = l**3 + 4*l**2 + 5*l + 2. Let x be z(-2). Let k(f) = 2*f + 3. Let n be k(x). Factor -1/4*r**n - 1/2*r**2 + 1/2 + 1/4*r.
-(r - 1)*(r + 1)*(r + 2)/4
Let g = -183/2 + 94. Let a(t) be the first derivative of 5*t - 15/2*t**2 - 3*t**5 + 10/3*t**3 + 5/6*t**6 + 8 + g*t**4. Factor a(h).
5*(h - 1)**4*(h + 1)
Let s(b) be the third derivative of -b**5/100 + 15*b**4/8 - 37*b**3/5 - 27*b**2. Factor s(f).
-3*(f - 74)*(f - 1)/5
Suppose 0*d - 40/11*d**4 - 2/11*d**5 + 0*d**3 + 0 + 0*d**2 = 0. Calculate d.
-20, 0
Suppose 46*q = 52*q + 6. Let r be q*65/(-10) - 5. Factor r*t**4 - 1/2*t**3 + 1/2*t + 0 - 3/2*t**2.
t*(t - 1)*(t + 1)*(3*t - 1)/2
Let w(z) be the second derivative of z**7/273 - 3*z**6/65 + z**5/5 - 17*z**4/39 + 7*z**3/13 - 5*z**2/13 - 115*z. Factor w(c).
2*(c - 5)*(c - 1)**4/13
Let o(n) = n**3 + n - 1. Let t be o(2). Suppose -7*m - 8 = -t*m. Factor -31*a**2 - 324*a - 131*a**2 - 3*a**m - 161 - 82 - 36*a**3.
-3*(a + 3)**4
Let w(v) be the third derivative of -v**5/105 - 17*v**4/42 + 9*v**2. Let w(x) = 0. Calculate x.
-17, 0
Let n(g) be the second derivative of -g**6/40 - 9*g**5/20 + 21*g**4/8 - 11*g**3/2 + 20*g**2 + 35*g. Let t(z) be the first derivative of n(z). Factor t(c).
-3*(c - 1)**2*(c + 11)
Let m(p) be the third derivative of -p**7/105 + 2*p**6/15 - 11*p**5/15 + 2*p**4 - 3*p**3 + 132*p**2 - 2. Factor m(a).
-2*(a - 3)**2*(a - 1)**2
Suppose -5*u + 12 = 2*q + 2, -3*u + 6 = 0. Let g be (-10)/(-45) + (-16)/(-9). Suppose 6/5*a**g + q*a + 3/5*a**3 + 0 = 0. Calculate a.
-2, 0
Let m(i) be the first derivative of -144*i - 24*i**2 - 4/3*i**3 + 10. Let m(o) = 0. What is o?
-6
Let x(d) be the second derivative of -d**7/15 + 11*d**6/25 - 16*d**5/25 - 4*d**4/3 + 16*d**3/5 + 16*d**2/5 + 35*d. Solve x(n) = 0.
-1, -2/7, 2
Let u be (-9 - -7) + (0 - -2). Let s = u - -3. Factor -s*l**2 - 3*l - 1 + 4 + 3.
-3*(l - 1)*(l + 2)
Let o(r) be the second derivative of 1/10*r**5 + 0 - r**4 + 8*r + 5/3*r**3 + 0*r**2. Let o(z) = 0. What is z?
0, 1, 5
Let o(q) = -q**2 - 6*q - 1. Let t be o(-1). What is l in -4/5 - 22/5*l - 6/5*l**2 + 2*l**t + 22/5*l**3 = 0?
-2, -1, -1/5, 1
Let d(h) be the third derivative of -3/65*h**5 + 0 + 11*h**2 - 1/1365*h**7 + 7/780*h**6 + 5/39*h**4 + 0*h - 8/39*h**3. Let d(i) = 0. What is i?
1, 2
Let k = 21 - 19. Factor -16 + 15*v + v - 6*v**2 + k*v**2.
-4*(v - 2)**2
Let w(x) be the first derivative of -39 + 0*x + 1/2*x**4 + 0*x**2 + 2/3*x**3. Factor w(l).
2*l**2*(l + 1)
What is a in 79*a + 371 + 20*a - 3*a**2 + 3*a - 1139 - 6*a = 0?
16
Let d(u) be the third derivative of 2*u**2 + 0*u**3 + 1/180*u**5 + 0 + 0*u + 1/36*u**4. Solve d(x) = 0.
-2, 0
Let y(l) be the third derivative of l**6/600 - l**5/50 + 11*l**4/120 - l**3/5 + 71*l**2 + 2. Solve y(a) = 0 for a.
1, 2, 3
Let v(n) = -n**4 - n**3 - n**2. Let b(x) = 32*x**4 - 32*x**3 + 72*x**2 - 12*x. Let d be (0 - 2) + (12 - -10). Let y(r) = d*v(r) + b(r). Factor y(g).
4*g*(g - 3)*(g - 1)*(3*g - 1)
Let k(t) = -9*t**2 + 169*t - 576. Let w(a) = 3*a**2 - 56*a + 192. Let r(b) = 4*k(b) + 11*w(b). Suppose r(c) = 0. Calculate c.
4, 16
Let d be (8/10)/(16/(-80)) - -7. Let m(i) be the third derivative of 1/39*i**d + 0 + 7*i**2 + 0*i + 0*i**4 - 1/390*i**5. Factor m(x).
-2*(x - 1)*(x + 1)/13
Let k(a) be the second derivative of a**7/14 - a**6/10 - 3*a**5/20 + a**4/4 + 3*a + 28. Factor k(h).
3*h**2*(h - 1)**2*(h + 1)
Let o be 5*(-117)/(-65) - 4896/(-56). Factor 3/7*k**2 - 90/7*k + o.
3*(k - 15)**2/7
Suppose 1/5*p**4 + 46/5 + 23/5*p**3 - 3/5*p**2 - 67/5*p = 0. Calculate p.
-23, -2, 1
Let q = 13610 - 40828/3. Factor 8/3 - q*c**3 + 4*c**2 - 6*c.
-2*(c - 4)*(c - 1)**2/3
Suppose -22*p + 32 + 12 = 0. Factor 0*h + 2/13*h**3 + 2/13*h**p - 2/13*h**5 + 0 - 2/13*h**4.
-2*h**2*(h - 1)*(h + 1)**2/13
Let x(s) = s**2 - 1. Let v be x(1). Suppose 3*q - 2*q - 3 = v. Factor -2*d**4 + 3*d**2 - 6*d**q - 2*d - d**2 + 8*d**3.
-2*d*(d - 1)**2*(d + 1)
Let g(r) be the first derivative of r**4/10 - 16*r**3/15 - 53*r**2/5 + 24*r - 911. Factor g(b).
2*(b - 12)*(b - 1)*(b + 5)/5
Let d(c) be the third derivative of -c**8/1680 + 19*c**7/1050 + c**6/30 + 332*c**2. What is s in d(s) = 0?
-1, 0, 20
Let g(n) be the first derivative of 25*n**6/6 + 243*n**5/2 + 1395*n**4 + 7740*n**3 + 19440*n**2 + 9720*n + 174. Factor g(s).
5*(s + 6)**4*(10*s + 3)/2
Let u(h) = 7*h**4 - 59*h**3 + 117*h**2 - 55*h. Let s(c) = -15*c**4 + 115*c**3 - 235*c**2 + 110*c. Let a(g) = 2*s(g) + 5*u(g). Find r such that a(r) = 0.
0, 1, 11
Let w = -569 - -573. Factor 12*n**3 - 33/4*n**2 + 3/2*n - 21/4*n**w + 0.
-3*n*(n - 1)**2*(7*n - 2)/4
Let 1/4*a**2 - 11/2 + 21/4*a = 0. What is a?
-22, 1
Let g(h) = -9*h**2 - 1431*h - 102244. Let s(c) = 4*c**2 + c - 1. Let j(b) = -g(b) - s(b). Determine p so that j(p) = 0.
-143
Let m(i) be the third derivative of i**5/240 - 5*i**4/48 + 423*i**2. Factor m(d).
d*(d - 10)/4
Let o be (-30)/12*32/20 + 24. Suppose 8*y - o*y**2 + 16/3 - 2*y**4 + 34/3*y**3 = 0. What is y?
-1/3, 2
Let h(g) be the second derivative of g**5/120 - 7*g**4/72 + 7*g**3/18 - 2*g**2/3 - 50*g. Let h(q) = 0. Calculate q.
1, 2, 4
Let m(c) be the first derivative of -c**3/15 + 7*c**2/10 - 2*c - 79. Factor m(y).
-(y - 5)*(y - 2)/5
Let v(s) be the second derivative of s**4/4 - 27*s**3 + 159*s**2/2 - 2*s - 50. Factor v(u).
3*(u - 53)*(u - 1)
Let q = -9 - -9. Suppose 2*b - 10 = -5*z + b, 2*z - 3*b - 21 = q. Factor z*c - 1 + 7 + 2 - 6*c**2 - 2 - 3*c**3.
-3*(c - 1)*(c + 1)*(c + 2)
Let y(d) be the first derivative of -d**4/120 - d**3/60 + 3*d**2/10 - 18*d + 10. Let f(u) be the first derivative of y(u). Factor f(t).
-(t - 2)*(t + 3)/10
Suppose 0*p + 4 = -p + 4*m, 0 = 2*p - m + 1. Factor 6*i**2 - 8*i**4 + 0*i**5 - 4*i**5 + p*i + 4*i + 2*i**2.
-4*i*(i - 1)*(i + 1)**3
Let q(d) = -d**3 - 4*d**2 + 11*d + 1. Let i be q(-6). Determine p, given that 15*p + i*p + 10 - 15*p**2 + 3*p = 0.
-1/3, 2
Let h(l) = l**3 - l. Let q(u) = 9*u**3 - 18*u**2 - 36*u. Let v(f) = -12*h(f) + q(f). Suppose v(p) = 0. Calculate p.
-4, -2, 0
Suppose 0 = -3*n - 0*n - 135. Let j be (-65)/n*3 - 4. Determine o so that -1/6*o**5 - 1/3*o**4 + 0 + 1/6*o + 0*o**3 + j*o**2 = 0.
-1, 0, 1
Suppose -5*j + 420 = -330. Suppose -162 = -4*q - j. Solve 0 + 8/5*p**2 - 2/5*p**q - 6/5*p = 0 for p.
0, 1, 3
Let n = -168823/17 - -9931. Le