*2 - 3*d**4 + 119*d**3 = 0.
-2, -1, -2/3, 0
Let l(c) be the third derivative of c**6/720 - 119*c**5/360 + 1115*c**4/144 - 2725*c**3/36 + 6196*c**2. Factor l(p).
(p - 109)*(p - 5)**2/6
Let b(m) be the third derivative of 11*m**7/1680 + m**6/180 - 29*m**3/6 - 51*m**2. Let j(p) be the first derivative of b(p). What is o in j(o) = 0?
-4/11, 0
Find a, given that 159/2*a**2 - 3/2*a**3 - 492*a + 414 = 0.
1, 6, 46
Let g = -1619 - -1619. Let h(r) be the first derivative of -23 + g*r - 9/7*r**2 + 1/7*r**3. Determine a so that h(a) = 0.
0, 6
Let q(b) be the third derivative of b**7/630 - b**6/30 + b**5/4 - 3*b**4/4 + 1632*b**2. Factor q(a).
a*(a - 6)*(a - 3)**2/3
Suppose -1145 = a - 1149. Let h(y) = -y**3 + 22*y - 22. Let o be h(a). Factor 0*m + 0 - m**4 + 4/3*m**o - 1/3*m**5 + 0*m**3.
-m**2*(m - 1)*(m + 2)**2/3
Solve -6039748125 - 6073774875/2*s - 17045325/2*s**2 - 15985/2*s**3 - 5/2*s**4 = 0 for s.
-1065, -2
Let u(r) = -5*r**3 - 485*r**2 + 7390*r - 26965. Let p(c) = 5*c**3 + 486*c**2 - 7377*c + 26968. Let k(w) = 5*p(w) + 6*u(w). Factor k(x).
-5*(x - 7)**2*(x + 110)
Let w(h) = -2*h**3 + 18*h**2 + h - 3. Suppose 7*d - 35 = 28. Let l be w(d). Factor 5*i**2 + 6 + 4*i - 3*i - l*i**2.
-(i - 3)*(i + 2)
Factor 102*r - 16*r + 390*r + 626*r - 1454 + 353*r - r**2.
-(r - 1454)*(r - 1)
Let k = 17609 + -528269/30. Let s(h) be the second derivative of 5/18*h**4 + 0 + k*h**5 - 25*h + 1/3*h**3 - 3*h**2. Factor s(n).
2*(n - 1)*(n + 3)**2/3
Let b(n) = -24*n**2 - 102*n + 345. Let x(g) = -33*g**2 - 103*g + 344. Let l(k) = -4*b(k) + 3*x(k). Find h such that l(h) = 0.
4, 29
Suppose 1296/17 - 356/17*a**2 + 3096/17*a + 10/17*a**3 = 0. Calculate a.
-2/5, 18
Let l(r) = -r**4 - r**3 - 17*r**2 + 41*r + 18. Let g(y) = y**3 + 4*y. Let o(b) = -40*g(b) + 5*l(b). Solve o(c) = 0 for c.
-6, -3, -1, 1
Let i = -224/2715 + 59273/5430. Suppose -145/3*a**2 - 60 + 90*a - 5/6*a**4 + i*a**3 = 0. Calculate a.
2, 3, 6
Let i(m) be the first derivative of 1/50*m**5 - 2/15*m**3 - 30 - 1/10*m**2 + 3/10*m + 1/20*m**4. Factor i(y).
(y - 1)**2*(y + 1)*(y + 3)/10
Suppose -z + 558 = h + 566, 34 = 2*h - 3*z. Solve -1/3*v**4 + 13/3*v**h - 4/3*v**3 + 4/3*v - 4 = 0 for v.
-6, -1, 1, 2
Let l(u) be the second derivative of -15/4*u**4 - 1/4*u**5 + 35/2*u**3 - 1 - 55/2*u**2 - 20*u. Solve l(m) = 0 for m.
-11, 1
Let w(i) be the second derivative of 5 - 9*i - 20/3*i**4 + 2/3*i**6 - 145/6*i**3 - 5/42*i**7 - 30*i**2 + 3/2*i**5. Factor w(m).
-5*(m - 4)*(m - 3)*(m + 1)**3
Let l = 1779/2 - 10669/12. Let h(x) be the second derivative of 0*x**2 - l*x**3 + 5/6*x**4 + 0 + 2*x. Let h(a) = 0. What is a?
0, 1/4
Let c = -35 + 27. Let j(a) = a + 12. Let v be j(c). Factor 5 - v*q**2 - 4*q - 5 - 4*q**2.
-4*q*(2*q + 1)
Let g(l) be the third derivative of -l**7/1575 + l**6/225 - 2*l**5/225 + l**2 - 778. Factor g(y).
-2*y**2*(y - 2)**2/15
Let i(f) = f**3 + 7*f**2 + 14*f + 10. Let j(z) = z - 2. Let v be j(-2). Let a be i(v). Determine l, given that -l - 6*l + 3*l - 4*l**a = 0.
-1, 0
Let v be 9 - (13 - (-7980)/(-245)). Factor v + 2/7*f**2 + 40/7*f.
2*(f + 10)**2/7
Let k(l) be the third derivative of -2*l**7/945 + l**6/45 + 11*l**5/15 + 88*l**4/27 + 56*l**3/9 - 2696*l**2. What is n in k(n) = 0?
-6, -1, 14
Let z(w) = -5*w**5 - 10*w**4 - 40*w**3 - 60*w**2 + 60*w + 60. Let l(v) = -2*v**3 - 4*v**2 + v + 2. Let r(o) = -25*l(o) + z(o). Factor r(f).
-5*(f - 2)*(f + 1)**4
Suppose 129*t - 84 = 122*t. Find c, given that 6*c + 4 - 6 - 3 + 11*c**2 - t*c**2 = 0.
1, 5
Let l(a) be the first derivative of -a**4/5 - 44*a**3/15 - 76*a**2/5 - 32*a - 495. Factor l(y).
-4*(y + 2)*(y + 4)*(y + 5)/5
Let c(g) be the second derivative of -5*g**4/12 + 5770*g**3/3 - 3329290*g**2 + 1796*g. Solve c(b) = 0.
1154
Let f be 1080/(-132) - (-4)/22. Let n = 10 + f. Factor -2*y**2 - 3*y**2 + 6*y**3 + y**n - 2*y**4.
-2*y**2*(y - 2)*(y - 1)
Let d(a) be the second derivative of a**5/70 + 937*a**4/21 + 877969*a**3/21 - 3*a - 106. Factor d(h).
2*h*(h + 937)**2/7
Let d(v) be the third derivative of -v**7/21 - 5*v**6/24 + v**5/3 + 5*v**4/8 - 1593*v**2 - 2*v. Factor d(t).
-5*t*(t - 1)*(t + 3)*(2*t + 1)
Find m such that -275*m + 23*m - 1064*m**4 + 45*m**3 - 24*m**2 + 1061*m**4 = 0.
-2, 0, 3, 14
Let x(i) be the first derivative of 16/7*i**2 + 142 + 1/7*i**4 + 8/7*i**3 + 0*i. Solve x(u) = 0 for u.
-4, -2, 0
Find j, given that -16/5*j**4 - 22*j + 484/15 + 2/15*j**5 + 328/15*j**3 - 436/15*j**2 = 0.
-1, 1, 2, 11
Find u such that 48*u**3 + 4/5*u**4 + 0 + 3828/5*u**2 + 6728/5*u = 0.
-29, -2, 0
Let o(k) = k**2 - 13*k - 34. Let m be o(15). Let d be ((-96)/(-18))/(m/(-6)). Factor 3*a**3 + d*a**2 - 16*a**4 - 2*a**5 - 11*a**5 + a**5 + a**3.
-4*a**2*(a + 1)**2*(3*a - 2)
Factor 0*j - 2/9*j**4 + 274/3*j**2 - 268/9*j**3 + 0.
-2*j**2*(j - 3)*(j + 137)/9
Let d(r) be the first derivative of r**3/6 - 170*r**2 + 679*r/2 + 6280. Factor d(p).
(p - 679)*(p - 1)/2
Let v(f) be the third derivative of f**6/30 - 10*f**5 + 149*f**4/6 + 30*f**2 - 11*f. Factor v(h).
4*h*(h - 149)*(h - 1)
Let h(l) be the second derivative of -l**7/336 - l**6/5 - 311*l**5/80 - 23*l**4/2 - 529*l**3/48 + 11*l - 1. Find x such that h(x) = 0.
-23, -1, 0
Let n(x) be the third derivative of 12*x**2 + 0*x**3 + 3*x - 1/30*x**5 + 1/6*x**4 + 0. Find b such that n(b) = 0.
0, 2
Let q(p) be the second derivative of -14*p + 7 - 1/15*p**6 + 0*p**2 + 0*p**3 - 1/45*p**5 + 0*p**4 - 1/27*p**7. Suppose q(y) = 0. What is y?
-1, -2/7, 0
Let z(j) be the second derivative of -j**6/900 - 7*j**5/150 - 49*j**4/60 - 35*j**3/3 - 15*j. Let m(t) be the second derivative of z(t). Factor m(l).
-2*(l + 7)**2/5
Let t(c) be the second derivative of -c**6/45 + 34*c**5/25 + 157*c**4/30 + 86*c**3/45 + 625*c. Let t(l) = 0. Calculate l.
-2, -1/5, 0, 43
Let m be ((75/12)/(-5))/((-4)/16). Let c(q) = -q**2 + q + 1. Let h(s) = -8*s**2 - 13*s + 5. Let w(j) = m*c(j) - h(j). Factor w(i).
3*i*(i + 6)
Let w(u) be the third derivative of -u**6/120 - 4*u**5/5 - 32*u**4 + u**3/3 + 41*u**2 + 2. Let t(n) be the first derivative of w(n). Let t(i) = 0. What is i?
-16
Let x be 29*93/7192 - (12/28)/(24/21). What is l in -36/7*l**2 - 30/7*l**3 + 6/7*l**4 + x + 0*l = 0?
-1, 0, 6
Let w(q) be the third derivative of 10/21*q**7 + 178*q**2 - 4/5*q**5 - 7/3*q**4 + 2*q**3 + 0 + q**6 + 0*q. Find a, given that w(a) = 0.
-1, 1/5, 3/5
Let b be 12/(-8) + 1 + (-5)/(-4). Let y(d) be the first derivative of 1/8*d**4 + 1/2*d + b*d**2 - 3 + 1/2*d**3. Solve y(c) = 0.
-1
Let c = 128 - 133. Let q be 0/(-7 - c) + 98/13. Determine u, given that q*u**4 + 8*u - 154/13*u**3 - 16/13 - 132/13*u**2 = 0.
-1, 2/7, 2
Let v = 148937/76 - 623/76. Let i = -1951 + v. Factor 0*s - 5/8*s**4 - 1/8*s**5 - i*s**2 + 0 - s**3.
-s**2*(s + 1)*(s + 2)**2/8
Let b be ((-13)/((-78)/(-45)))/(-14 + 6 + 3). Suppose -b - 7/8*k - 1/8*k**2 = 0. Calculate k.
-4, -3
Let w = 21959 - 21959. Determine l so that -7/6*l**2 + w + 1/3*l = 0.
0, 2/7
Let x = 30 - 124. Let d = -84 - x. Solve -2*a - 1138*a**2 - d*a + 1135*a**2 - 12 = 0 for a.
-2
Let l be (-476)/(-7) + 0/2. Suppose 0*p - 4*o + l = 4*p, 5*o - 71 = -4*p. Factor -8 + 16*w + 2*w + 2*w**2 + 10 + p.
2*(w + 1)*(w + 8)
Suppose 5*d = 5*r - 2365, r = -0*d - 5*d + 455. Solve -243*u**3 - 432 + 359*u - 226*u**2 + 126*u**4 + r*u - 15*u**5 - 146*u**2 + 431*u = 0.
-2, 2/5, 3, 4
Let p(o) = 62*o - 51. Let g be p(-1). Let y = g - -794/7. Solve 0 - 3/7*i**2 + y*i**4 + 6/7*i - 9/7*i**3 + 3/7*i**5 = 0 for i.
-2, -1, 0, 1
Let q(k) = -k**2 - k. Let n(y) = 6*y**2 - 237*y - 14884. Let f(a) = 5*n(a) + 35*q(a). What is p in f(p) = 0?
-122
Let l(t) = t**3 + 2*t**2 - t + 1. Let f(b) = -5*b**4 - 126*b**3 - 522*b**2 + 3646*b + 12669. Let q(a) = f(a) + 6*l(a). Factor q(g).
-5*(g - 5)*(g + 3)*(g + 13)**2
Let i(z) = z**2 + 22*z - 41. Let f be i(-24). Factor -149*h - 72 - 2*h**5 - f*h**4 - 91*h - 106*h**3 - 44*h**3 - 23*h**4 - 290*h**2.
-2*(h + 1)**3*(h + 6)**2
Let v(r) be the first derivative of -18/7*r + 10/21*r**3 + 1/14*r**4 - 43 + 3/7*r**2. Find j such that v(j) = 0.
-3, 1
Let s(a) be the third derivative of -a**7/210 + 3*a**6/20 - 3*a**5/5 - 209*a**4/12 - 121*a**3/2 - 51*a**2 + 30*a. Factor s(z).
-(z - 11)**2*(z + 1)*(z + 3)
Let l(i) = 20*i**3 - 188*i**2 + 16. Let c = -366 - -361. Let r(g) = 13*g**3 - 125*g**2 + 10. Let f(k) = c*l(k) + 8*r(k). Determine s, given that f(s) = 0.
0, 15
Suppose -4*d - 2*x = 3*x + 500, -