0*z + 0 - 2/7*z**5 + 0*z**2 = 0.
-1, 0, 1
Let k(v) be the first derivative of -5*v**3/24 - 21*v**2/4 + 17*v/8 - 161. Factor k(b).
-(b + 17)*(5*b - 1)/8
Suppose 442078*v - 442078*v + 125*v**3 - 5*v**4 = 0. Calculate v.
0, 25
Factor -225*k - 19*k**2 + 14*k**2 - 5*k**4 - 13*k**3 - 60*k**2 + 58*k**3 + 250.
-5*(k - 5)**2*(k - 1)*(k + 2)
Factor -10907 - 210492 - 1460*r - 5*r**2 + 23394 - 530*r.
-5*(r + 199)**2
Let o(x) be the first derivative of 10*x + 1/2*x**3 - 9/8*x**2 - 1 - 1/16*x**4. Let c(b) be the first derivative of o(b). Factor c(g).
-3*(g - 3)*(g - 1)/4
Determine y, given that 69/7*y + 0 - 89/7*y**2 + 1/7*y**4 + 19/7*y**3 = 0.
-23, 0, 1, 3
Let z(f) be the second derivative of 5/48*f**3 + 0*f**2 + 11*f + 0 + 1/96*f**4. Factor z(k).
k*(k + 5)/8
Let f(t) = -102*t - 1528. Let z be f(-15). Factor 6/11*s + 2/11*s**z + 4/11.
2*(s + 1)*(s + 2)/11
Let o be 0 - (2 - 11 - -3). Find l, given that 30*l**3 - 11*l + 11*l**5 - o*l**3 + 9*l - 2*l**2 + 56*l**4 + 21*l**5 = 0.
-1, -1/2, 0, 1/4
Let x(b) be the first derivative of b**8/2240 - 3*b**7/1120 + 28*b**3/3 + 21. Let g(p) be the third derivative of x(p). Suppose g(f) = 0. What is f?
0, 3
Factor 3696/5*t + 4/5*t**4 + 1764/5 + 2104/5*t**2 + 176/5*t**3.
4*(t + 1)**2*(t + 21)**2/5
Let o be (-11)/11 + (-52)/(-44). Factor -10/11*y + o*y**2 + 12/11.
2*(y - 3)*(y - 2)/11
Let u(o) be the second derivative of o**7/273 + o**6/195 + 106*o. Factor u(s).
2*s**4*(s + 1)/13
Let k be 117/24 + (-729)/162. Solve k*b**3 - 3/8*b - 1/8 + 5/8*b**2 - 1/2*b**4 = 0 for b.
-1, -1/4, 1
Suppose -1105*p + 1117*p = 36. Solve -4/3*h**2 + 4/3*h**4 + 0*h**p + 2/3*h + 0 - 2/3*h**5 = 0.
-1, 0, 1
What is b in -16 + 2*b**2 + 2*b**3 - 25*b + 17*b + 2*b**2 = 0?
-2, 2
Let y = 5 - 2. Let g(c) = 2*c + 3. Let l be g(0). Factor l + 4*q + 2*q + y*q**2 - 12.
3*(q - 1)*(q + 3)
Let a(u) be the second derivative of 0 - 2*u**3 + 0*u**2 - 10*u - 1/4*u**4. Determine j, given that a(j) = 0.
-4, 0
Suppose 17*z = 8*z + 18. Let t(l) be the first derivative of 9/11*l**2 - 10/11*l**3 + 1/2*l**4 + z - 4/11*l - 6/55*l**5. Find g, given that t(g) = 0.
2/3, 1
Let a = 6303/1343 - 80/17. Let h = 625/553 - a. Determine l so that 0 + 6/7*l**3 + 8/7*l**4 - 8/7*l - h*l**2 + 2/7*l**5 = 0.
-2, -1, 0, 1
Suppose 78 = 13*j - 845. Let p = j + -67. Factor 10/7*q**2 + 2/7*q**p + 8/7*q**3 + 4/7*q + 0.
2*q*(q + 1)**2*(q + 2)/7
Let l(o) be the second derivative of -o**6/135 - o**5/45 - o**4/54 + 38*o + 2. Factor l(p).
-2*p**2*(p + 1)**2/9
Let p(k) be the third derivative of k**8/13440 + k**7/3360 + k**6/2880 + k**3/3 - 7*k**2. Let v(l) be the first derivative of p(l). What is a in v(a) = 0?
-1, 0
Factor 0*d**5 - 69*d**3 + 67*d**2 - 16*d + 10*d**4 - d**5 + 28*d - 34*d + 15*d**4.
-d*(d - 22)*(d - 1)**3
Let z(u) be the second derivative of -u**5/20 - 5*u**4/4 - 25*u**3/2 + 11*u**2/2 - 16*u. Let f(w) be the first derivative of z(w). Factor f(y).
-3*(y + 5)**2
Let j = 13 - 13. Suppose j*l = 3*l - 6. Factor 4 - 3 + 5 - 4*z - z**2 - z**l.
-2*(z - 1)*(z + 3)
Factor i**2 - 15*i**4 + 5*i**2 - 12*i**3 - 6*i**3 - 3*i**5 + 7 + 8 - 6 + 21*i.
-3*(i - 1)*(i + 1)**3*(i + 3)
Factor -29*u**3 + 0*u**2 + 7*u**2 + 2*u + 35*u**3 - u**2 + 2*u**4.
2*u*(u + 1)**3
Suppose -48 + 4/9*x**2 - 4/3*x = 0. What is x?
-9, 12
Suppose 52/5*m**2 + 8*m - 1/5*m**5 + 0 + 18/5*m**3 - 1/5*m**4 = 0. Calculate m.
-2, 0, 5
Let j = -39 - -39. Suppose 0 = 4*t - 3*v + 1, 3*v + 3 = 3*t + 2*v. Factor j - 2/5*s**t + 4/5*s.
-2*s*(s - 2)/5
Suppose 82 = -n + 67. Let a be (-9)/n*(-10)/(-2). Find r such that 22/5*r**a - 4/5 - 6/5*r**4 - 6*r**2 + 18/5*r = 0.
2/3, 1
Factor 2/5*g - 2/5*g**4 - 2/5*g**3 + 2/5*g**2 + 0.
-2*g*(g - 1)*(g + 1)**2/5
Let t(j) be the first derivative of -j**5/12 - 5*j**4/12 + 3*j**2 + 12. Let y(w) be the second derivative of t(w). Let y(g) = 0. What is g?
-2, 0
Let i(m) be the first derivative of 0*m**2 + 1/2*m**3 - 1/4*m**4 - 4 + 3*m. Let b(y) be the first derivative of i(y). Factor b(o).
-3*o*(o - 1)
Let p = 30 - 22. Let d(k) = 11*k**3 - 18*k**2 + 23*k - 6. Let r(j) = -17*j**3 + 27*j**2 - 35*j + 9. Let i(y) = p*d(y) + 5*r(y). Suppose i(l) = 0. Calculate l.
1
Let b(w) = 3*w**2 + 1. Let t(f) = -24*f**2 + 63*f - 9. Let u(i) = 9*b(i) + t(i). Suppose u(d) = 0. What is d?
-21, 0
Let c = -22651/28 + 3237/4. Factor -c*w**3 + 8/7 + 8/7*w - 2/7*w**2.
-2*(w - 2)*(w + 1)*(w + 2)/7
Let s = -21/65 + 53/156. Let i(g) be the third derivative of -1/6*g**3 + 1/70*g**7 - 1/30*g**5 + 0 + 0*g - 2*g**2 + 1/336*g**8 - 1/8*g**4 + s*g**6. Factor i(x).
(x - 1)*(x + 1)**4
Let b(i) = i**2 + i - 3. Let g = -136 + 133. Let t be b(g). Factor 0*v**2 + 18/5*v**4 + 4/5*v**t + 0 + 0*v + 8/5*v**5.
2*v**3*(v + 2)*(4*v + 1)/5
Factor -372/7*c + 152/7 + 1/7*c**5 + 12/7*c**4 + 46*c**2 - 115/7*c**3.
(c - 2)**3*(c - 1)*(c + 19)/7
Factor 4/3*b**4 + 0 - 1/3*b**5 - 5/3*b**3 + 0*b + 2/3*b**2.
-b**2*(b - 2)*(b - 1)**2/3
Let b be 48/30 - (78/30 + -3). Let c(a) be the first derivative of -1/3*a**4 + 0*a**5 + 0*a + 6 + 0*a**b + 0*a**3 + 2/9*a**6. Determine n, given that c(n) = 0.
-1, 0, 1
Let k(q) = 1. Let i(l) = -l + 3. Let d(y) = 2*i(y) - 14*k(y). Let s be d(-6). Factor -c**2 + c**3 - 2 + 3*c**2 - s*c + c**3 + 2*c.
2*(c - 1)*(c + 1)**2
Let d = 4 - 10. Let f(m) = -m**3 - 5*m**2 + 6*m + 3. Let l be f(d). Solve 8*i - 6 - 6 + 4*i - l*i**2 = 0 for i.
2
Let o(w) be the third derivative of w**7/315 - w**6/90 - 4*w**5/45 - 225*w**2. Factor o(z).
2*z**2*(z - 4)*(z + 2)/3
Let h(r) be the second derivative of 0 - 18*r - 11/8*r**3 - 1/32*r**4 - 363/16*r**2. Find f, given that h(f) = 0.
-11
Let u = 7580 - 22739/3. Factor -u*w**2 - w - 2/3.
-(w + 1)*(w + 2)/3
Let v be 3 + (3 - (-1892)/4). What is d in 82*d**2 + 428*d**3 - v*d**2 + 840*d**4 + 245*d**5 + 80*d + 12*d**3 - 83*d**2 = 0?
-2, 0, 2/7
Let q(j) = -3*j**2 + 33*j - 37. Suppose -3*t + 2*t + 4 = 5*a, 2*a + 4 = t. Let k(s) = s**2 - 16*s + 19. Let b(v) = t*q(v) + 7*k(v). Factor b(u).
-5*(u - 3)*(u - 1)
Let m(n) be the third derivative of -n**6/660 + 8*n**5/33 + 163*n**4/132 + 82*n**3/33 + 69*n**2 + 5. Let m(s) = 0. What is s?
-1, 82
Determine a so that -1/4*a**5 - 49/4*a**3 - 19*a - 3*a**4 - 6 - 45/2*a**2 = 0.
-6, -2, -1
Let w = 376 + -376. Let k(l) be the second derivative of w - 3*l - l**3 + 0*l**2 - 5/4*l**4 - 3/5*l**5 - 1/10*l**6. Factor k(j).
-3*j*(j + 1)**2*(j + 2)
Let h = 36 - 34. Let u be (-42)/49*(-7)/h. Find j such that -2/11*j**u - 10/11*j + 4/11 + 8/11*j**2 = 0.
1, 2
Let g(f) be the third derivative of -1/15*f**5 + 0*f**3 + 1/60*f**6 + 0*f**4 + 0*f + 2/105*f**7 - 1/168*f**8 + 0 - 2*f**2. Suppose g(q) = 0. What is q?
-1, 0, 1, 2
Find t, given that -4/3*t**2 + 10/3*t + 1/6*t**3 - 8/3 = 0.
2, 4
Let g(c) be the third derivative of -4*c**2 - 1/15*c**3 + 1/40*c**4 + 0 + 0*c - 1/300*c**6 + 1/100*c**5. Factor g(k).
-(k - 2)*(k + 1)*(2*k - 1)/5
Let v = -2/6991 + 34959/13982. Let -7/10*o**4 + 23/5*o**2 + v + 1/5*o**3 - 13/2*o - 1/10*o**5 = 0. Calculate o.
-5, 1
Let m = -1 - -3. Let i = m + 1. Factor 0*a + a + a**3 - 2*a**3 - 3*a**2 + 4*a**i - a**4.
-a*(a - 1)**3
Let p(f) be the third derivative of f**5/75 - 2*f**4/15 - 3*f**2 - f. Factor p(m).
4*m*(m - 4)/5
Factor 18 + 2*k**3 - 26*k - 42 - 9*k - 11*k - 20*k**2.
2*(k - 12)*(k + 1)**2
Let z(a) be the second derivative of -a**7/98 + 3*a**6/70 + 3*a**5/140 - a**4/4 + 6*a**2/7 - 179*a. Let z(u) = 0. Calculate u.
-1, 1, 2
Let n be 18*10/(-520) + (-1)/(-2). Factor 4/13 - 2/13*z - n*z**2.
-2*(z - 1)*(z + 2)/13
Factor 0 + 9/5*t - 1/5*t**4 - 9/5*t**3 + 1/5*t**2.
-t*(t - 1)*(t + 1)*(t + 9)/5
Let p(x) = -12*x**2 - 60*x + 192. Let z(o) = -8*o**2 - 59*o + 193. Let t(f) = 3*p(f) - 4*z(f). Factor t(r).
-4*(r - 7)**2
Let h(k) be the second derivative of 1/2*k**3 + 1/10*k**6 + 1 + 0*k**2 - 3*k - 1/4*k**4 - 3/20*k**5. Let h(o) = 0. What is o?
-1, 0, 1
Let t(n) be the third derivative of -n**6/24 - 5*n**5/6 + 5*n**4/24 + 25*n**3/3 - 61*n**2 - 2. Factor t(p).
-5*(p - 1)*(p + 1)*(p + 10)
Factor -1/5*c**4 - 7776/5*c**2 + 186624/5*c + 144/5*c**3 - 1679616/5.
-(c - 36)**4/5
Let s be (1 - (-2 + 4))/1. Let j = 3 - s. Factor -2*h**j - 191*h**3 + 187*h**3 - 2*h**4.
-4*h**3*(h + 1)
Suppose -6*g = 4*g - 40. Let j = 4465/7 - 637. Factor -6/7*z + 2/7*z**2 + 2/7*z**g - 4/7 + j*z**3.
2*(z - 1)*(z + 1)**2*(z + 2)/7
Let s(i) be the first derivative of -i**6/21 - 4*i**5/35 + i**4/7 + 16*i**3/21 + i**2 + 