e the third derivative of 15*y**2 + 1/1050*y**7 + 0*y**5 + 0*y + 0 + 0*y**4 - 1/600*y**6 + 0*y**3. Factor d(z).
z**3*(z - 1)/5
Let p(y) be the third derivative of -35*y**2 + 0*y**4 + 17/420*y**6 - 12/245*y**7 + 0*y**3 + 0*y - 1/105*y**5 + 0. Find a such that p(a) = 0.
0, 2/9, 1/4
Suppose -3*d - 8 = 2*h, -8 = 28*h - 26*h. Factor 1/7*r**4 - 3/7*r**3 + 0 + 2/7*r**2 + d*r.
r**2*(r - 2)*(r - 1)/7
Let j = -238 - -1161. Let 0*h**2 + j - h - h**2 - 921 = 0. What is h?
-2, 1
Let x = -17 - -34. Let t be x/(-136) + 66/16. Factor 0 + 0*u + 1/3*u**3 + 1/3*u**t + 0*u**2.
u**3*(u + 1)/3
Let t be (-8)/6*(-6)/4. Suppose -4*q = -5*v - 5, 0*v - 1 = -t*q + v. Factor 3/5*b**2 + 12/5*b**4 + 0 + q*b - 3*b**3.
3*b**2*(b - 1)*(4*b - 1)/5
Suppose -3*k + 12 = 3*o, 0 = o + 18*k - 15*k. Let z(f) be the first derivative of -5/6*f**3 + f + 3/4*f**2 + o. Factor z(g).
-(g - 1)*(5*g + 2)/2
Let z(a) be the third derivative of a**5/300 - 17*a**4/40 + 5*a**3/3 - 4*a**2 + 3. Find h such that z(h) = 0.
1, 50
Solve 0*n + 1/3*n**3 + 2/3*n**2 + 0 = 0.
-2, 0
Let t = 38 + -36. Factor 2*r**4 + 54*r**2 - 120*r**2 + 60*r**t + 4*r.
2*r*(r - 1)**2*(r + 2)
Let g(c) = c**4 + 2*c**3 + c**2 + c + 2. Let p(l) = 35*l**4 + 55*l**3 - 15*l**2 + 75*l + 60. Let b(n) = 30*g(n) - p(n). Solve b(u) = 0.
-3, 0, 1, 3
Let f(b) be the first derivative of b**3/4 + 711*b**2/4 + 168507*b/4 + 843. Find v such that f(v) = 0.
-237
Let c be 2996/(-21) + 18/(-3). Let x = c - -149. Find z, given that z**3 + 0 + x*z**4 + 1/3*z + z**2 = 0.
-1, 0
Let d be ((-15)/(-45))/((-2)/(-102)). Let f = d - 14. Factor 1/2*a**4 + 2*a**f + 2*a + 3*a**2 + 1/2.
(a + 1)**4/2
Suppose 0 = -43*v + 35*v + 32. Let s be ((-3)/(-3))/((-3)/(-2)). What is j in -14/3*j - 6*j**2 - s*j**v - 4/3 - 10/3*j**3 = 0?
-2, -1
Let t(y) = -7*y**2 + 65*y - 15. Let r be t(9). Find s such that 10/7*s + 4/7 + 8/7*s**2 + 2/7*s**r = 0.
-2, -1
Find m such that -11*m**2 + m**2 + 3 - 2*m - 19*m - 2*m**3 - 11 + 5*m = 0.
-2, -1
Let n(y) = -6*y**3 - 6*y**2 + 6*y - 1. Let h(a) = -4*a**3 - 4*a**2 + 4*a - 1. Let t be ((-12)/(-8))/(6/(-20)). Let k(r) = t*n(r) + 7*h(r). Factor k(q).
2*(q - 1)*(q + 1)**2
Factor 20*b**3 - 19*b**4 - 11*b**4 + 7*b**3 + 3*b**5.
3*b**3*(b - 9)*(b - 1)
Let b(g) be the first derivative of g**6/216 - g**5/45 - g**4/18 - 5*g**3/3 + 13. Let v(x) be the third derivative of b(x). Find c such that v(c) = 0.
-2/5, 2
Let u = -1519 - -1522. Determine t so that -2/17*t**u + 0 + 2/17*t + 0*t**2 = 0.
-1, 0, 1
Factor -68*m**2 - 140*m + 2*m**3 - 234*m + 122*m - 6*m**3 + 324.
-4*(m - 1)*(m + 9)**2
Let v = -19 + 19. Let -191*g**3 - 2*g**2 + v*g**2 + 190*g**3 + g**5 + 2*g**4 = 0. Calculate g.
-2, -1, 0, 1
Let p(r) be the second derivative of 5*r**4/12 + 490*r**3/3 + 24010*r**2 + 6*r - 4. Find w, given that p(w) = 0.
-98
Let s(c) = -9*c**3 - 18*c**2 + 17. Let y(n) = -3*n**3 - 6*n**2 + 6. Let u(b) = 2*b**2 + 11*b - 4. Let k be u(-7). Let d(z) = k*y(z) - 6*s(z). Factor d(a).
3*a**2*(a + 2)
Let b(r) be the second derivative of -r**7/147 - 4*r**6/105 + 2*r**5/7 - 5*r**4/21 - 19*r**3/21 + 2*r**2 + 2*r + 2. Let b(l) = 0. Calculate l.
-7, -1, 1, 2
Let q(x) be the third derivative of -x**6/30 - 121*x**5/15 - 3599*x**4/6 + 7442*x**3/3 + 189*x**2. Factor q(y).
-4*(y - 1)*(y + 61)**2
Factor -2*c + 0*c**2 + 12*c - 2*c**2 + 0*c**2.
-2*c*(c - 5)
Let a(g) = 12*g**2 + 56*g + 44. Let m = -11 + -21. Let r(y) = -y**2 - 5*y - 4. Suppose 6 - 3 = -b. Let q(d) = b*a(d) + m*r(d). Suppose q(w) = 0. Calculate w.
-1
Let c(m) be the second derivative of m**6/240 + m**5/10 + m**4 - 10*m**3/3 + 4*m. Let v(q) be the second derivative of c(q). Factor v(y).
3*(y + 4)**2/2
What is i in -200*i + 128 + 33*i**2 + 2014*i**3 - 2018*i**3 + 43*i**2 = 0?
1, 2, 16
Factor -6/7*r + 0*r**3 + 1/7*r**4 + 0 - r**2.
r*(r - 3)*(r + 1)*(r + 2)/7
Let t = -6/65 + 209/1560. Let c(o) be the second derivative of -1/4*o**2 + 2*o + 1/48*o**4 + 0 - t*o**3. Factor c(b).
(b - 2)*(b + 1)/4
Let r be (-30)/9*(-12)/8. Find z such that 8*z**2 + r*z + 2*z**5 + 0*z**2 + 12*z**3 + 3*z - 6*z + 8*z**4 = 0.
-1, 0
Let g(z) be the first derivative of -5 + 3/2*z**2 + 5/8*z**4 + z - 7/4*z**3. Let h(y) be the first derivative of g(y). Factor h(p).
3*(p - 1)*(5*p - 2)/2
Let -291/8*d + 0 + 36*d**3 + 147/4*d**4 + 3/8*d**5 - 147/4*d**2 = 0. What is d?
-97, -1, 0, 1
Factor 2/21*t**2 + 4/21*t**3 + 2/21*t**4 + 0*t + 0.
2*t**2*(t + 1)**2/21
Let g(p) be the second derivative of 0 + 1/140*p**5 + 1/42*p**3 + 0*p**2 - 12*p + 1/42*p**4. Determine b, given that g(b) = 0.
-1, 0
Let p(v) = -v. Let r(s) = -3*s - 6. Let y(b) = 4*p(b) - r(b). Let h be y(4). Suppose h*z**4 + 16/5*z**3 + 0*z + 2/5*z**5 + 0 + 8/5*z**2 = 0. Calculate z.
-2, -1, 0
Determine y, given that -659*y**2 - 60 - 478*y - 81/2*y**4 + 2475/2*y**3 = 0.
-2/9, 1, 30
Determine l, given that 74*l**3 - 46*l**3 + 9*l - 62*l**2 + 13*l + 2*l**4 + 10*l = 0.
-16, 0, 1
Let q = -93237132 - -313649714563/3364. Let f = q + 2/841. Solve 15/2*t - f*t**2 - 75/4 = 0 for t.
5
Suppose 83 = 23*x + 83. Factor 0 + 3*l + 3/2*l**4 - 9/2*l**2 + x*l**3.
3*l*(l - 1)**2*(l + 2)/2
Let s(p) be the third derivative of p**8/1344 - p**7/210 + p**6/96 - p**5/120 - 69*p**2. Factor s(u).
u**2*(u - 2)*(u - 1)**2/4
Let b = 80915/3 - 27427. Let q = b + 462. Factor q*t**3 - 4*t**2 - 28/9*t**4 + 0*t + 0 + 4/9*t**5.
4*t**2*(t - 3)**2*(t - 1)/9
Let m = 279/50 + -102/25. Factor -1/4*x**5 + m*x**3 + 1/2*x**2 + 1/4*x**4 - 5/4*x - 3/4.
-(x - 3)*(x - 1)*(x + 1)**3/4
Suppose -q - 16 = -4*w, 65*w = 62*w + 15. Determine a so that 1/3*a**q + 0 - 2/3*a + 2/3*a**3 - 1/3*a**2 = 0.
-2, -1, 0, 1
Let w(f) = -23*f**3 + 10*f**2 + 34*f + 33. Let a(u) = 8*u**3 - 3*u**2 - 11*u - 12. Let t(m) = 11*a(m) + 4*w(m). Factor t(l).
-l*(l - 3)*(4*l + 5)
Let k be (2 - (-2 - 0)) + -2. Let z(d) be the first derivative of -2*d - k + 0*d**2 + 2/3*d**3. What is t in z(t) = 0?
-1, 1
Let y(s) be the third derivative of s**6/200 + s**5/25 + s**4/40 - 3*s**3/5 + 280*s**2. Find f, given that y(f) = 0.
-3, -2, 1
Let 54*z**3 - 14*z**3 - 52*z**2 - z**4 - 17*z**3 + 28*z**3 + 2*z**4 = 0. Calculate z.
-52, 0, 1
Let r(v) = -11*v**3 + 47*v**2 + 173*v + 161. Let q(d) = -24*d**3 + 93*d**2 + 345*d + 321. Let g(l) = 7*q(l) - 15*r(l). Suppose g(m) = 0. What is m?
-14, -2
Factor -16/3*q + 2/15*q**3 - 224/15 + 2/15*q**2.
2*(q - 7)*(q + 4)**2/15
Let x(u) = 2*u**2 - 10*u - 28. Let p(q) = -14*q**2 + 70*q + 196. Let b(z) = -6*p(z) - 44*x(z). Let b(t) = 0. Calculate t.
-2, 7
Factor 3/5*g**2 + 199692/5 - 1548/5*g.
3*(g - 258)**2/5
Factor -12*o**3 + 23*o**3 + 2*o**2 - 6*o**4 - 2*o**5 - 17*o**3 - 4*o**2.
-2*o**2*(o + 1)**3
Let z(m) be the third derivative of -m**7/14 + 39*m**6/20 - 72*m**5/5 - 16*m**4 - 296*m**2. What is r in z(r) = 0?
-2/5, 0, 8
Factor 32 - 6*l + 4*l**2 - 30 + 2 - 2*l**2.
2*(l - 2)*(l - 1)
Suppose -2*k - 2*r = -14, -9 = 19*r - 22*r. Solve -10/9*q**3 - 14/9*q**2 - 2/9*q**k - 2/3*q + 0 = 0.
-3, -1, 0
Determine c so that 21*c**5 + 1206 + 30*c - 1278 - 81*c**4 + c**3 - 52*c**3 + 153*c**2 = 0.
-1, 6/7, 1, 4
Let d(j) be the first derivative of j**5/25 + j**4/15 - 8*j**3/15 - 8*j**2/5 - 25*j + 48. Let p(v) be the first derivative of d(v). Let p(u) = 0. What is u?
-2, -1, 2
Suppose 8*i = 10*i + 4. Let u be 5/(-20) - i/8. Suppose 1/4*r**3 + u + 1/2*r**2 + 0*r = 0. What is r?
-2, 0
Let i(t) be the first derivative of 2*t**3/21 - 2*t**2/7 + 2*t/7 - 45. Determine f, given that i(f) = 0.
1
Factor -120/7*y**2 - 6 + 183/7*y - 3*y**3.
-3*(y - 1)*(y + 7)*(7*y - 2)/7
Let h(y) = -3*y - 4. Let z be h(-6). Suppose 20*t - z*t + 0*t**2 - 3*t - t**2 = 0. What is t?
0, 3
Let k(z) be the second derivative of -z**4/4 - 15*z**3/2 - 4*z. Find r, given that k(r) = 0.
-15, 0
Let m(j) = 10*j**3 + 515*j**2 + 6715*j - 15680. Let d(s) = 5*s**3 + 260*s**2 + 3358*s - 7840. Let n(a) = 5*d(a) - 2*m(a). Find o such that n(o) = 0.
-28, 2
Let x(u) be the second derivative of -u**4/48 + 3*u**3/8 - u**2 - 14*u. Factor x(w).
-(w - 8)*(w - 1)/4
Determine n so that 8*n**4 - 8/5*n**3 - 14*n**2 - 6/5 + 44/5*n = 0.
-3/2, 1/5, 1/2, 1
Let c = 8 - -92. What is b in 4*b**4 - 100*b**3 + c*b**3 - 4*b**2 = 0?
-1, 0, 1
Let p(g) be the second derivative of -g**4/12 + 31*g**3/6 + 16*g**2 + 12*g. Find y such that p(y) = 0.
-1, 32
Let f(q) be the first derivative of 4*q**5/5 - 2*q**4 - 76*q**3/3 - 56*q**2 - 48*q + 176. Factor f(v).
4*(v - 6