f -4 - 73/60*a**4 - 4/75*a**6 + 0*a + 45*a**2 + 3/5*a**3 + 76/75*a**5. Find p such that v(p) = 0.
1/4, 9
Let 57/2*y**3 + 0 + 3/2*y**4 + 51/2*y + 105/2*y**2 = 0. Calculate y.
-17, -1, 0
Let f(k) = -46*k + 230. Let w be f(5). Let l(c) be the third derivative of 0 + 2*c**2 + w*c**3 + 1/20*c**5 + 0*c - 1/2*c**4. Determine g, given that l(g) = 0.
0, 4
Let z(i) = -4*i**4 - 3*i**3 + i**2 + 3*i - 3. Let o(p) be the first derivative of -p**5 - p**4 + 2*p**2 - 4*p - 11. Let c(h) = -3*o(h) + 4*z(h). Factor c(j).
-j**2*(j - 2)*(j + 2)
Let q(a) be the first derivative of a**5/3 - 3*a**4/4 - 2*a**3/9 + 2190. Factor q(c).
c**2*(c - 2)*(5*c + 1)/3
Let -24*b + 150*b**3 - 350/3*b**4 + 16/3 - 44/3*b**2 = 0. Calculate b.
-2/5, 2/7, 2/5, 1
Factor -2*j**2 - 14*j + 10267 - 11197 + 106*j.
-2*(j - 31)*(j - 15)
Let u(v) = v**3 + 6*v**2 - 2*v - 3. Let g be 2 + 99/(-12) + 3/12. Let o be u(g). Factor 12*z**2 + o*z - 39 + 0*z**3 + 3*z**3 + 39.
3*z*(z + 1)*(z + 3)
Suppose -9*m - 17*m - 26 = 0. Let b be m - 3 - (-512)/80. Factor -3/5*g**2 - 12/5 - b*g.
-3*(g + 2)**2/5
Let v(o) be the first derivative of o**3 - 381*o**2/2 - 922. Factor v(d).
3*d*(d - 127)
Let z = 73/4 + -495/28. Let f be (-62)/(-15) + (-26)/195. Let 0 + 4/7*o**f + 4/7*o - 4/7*o**2 - z*o**3 = 0. What is o?
-1, 0, 1
Suppose -17 + 7 = -5*w. Let a(i) = -30 - i**2 + 20*i - 2*i**2 - 2 + 5*i**w. Let t(v) = -3*v**2 - 21*v + 32. Let g(y) = 5*a(y) + 4*t(y). Factor g(l).
-2*(l - 4)**2
Let y = -9 + 19. Let l be (102/y)/(1/5*1). Factor -20*k - l*k**3 - 14*k**3 + 94*k**2 - 5*k**5 - 30*k**4 - 154*k**2.
-5*k*(k + 1)**2*(k + 2)**2
Let x(p) = 22*p**2 + 9 - p - 8*p - 23*p**2. Let y be x(-9). Solve -14*g**3 - 2*g**5 + 5*g**5 + y*g**4 + 20*g**3 = 0 for g.
-2, -1, 0
Suppose 0 = -1268*x + 1296*x - 0. Let -1/2*m**3 - 1/2*m**4 + x + 2*m**2 + 2*m = 0. Calculate m.
-2, -1, 0, 2
Let q(h) = 8*h**3 + 57*h**2 + 61*h + 3. Let l(j) = 1 + 259*j**2 + 0 + 17*j**3 + 124*j + 6 - 146*j**2. Let w(y) = -3*l(y) + 7*q(y). Suppose w(b) = 0. What is b?
-11, -1, 0
Let w(a) = a**3 - 3*a**2 - 21*a - 19. Let d be w(7). Factor -35*x**3 + d*x**2 - 160 + 77*x - 11*x + 94*x + 5*x**4.
5*(x - 4)**2*(x - 1)*(x + 2)
Let n(u) be the first derivative of -2*u**3/21 - 101*u**2/7 + 120*u - 730. Factor n(w).
-2*(w - 4)*(w + 105)/7
Let a(i) be the third derivative of -3*i**6/40 - 8*i**5/5 - 17*i**4/2 - 16*i**3 + 1219*i**2. Factor a(b).
-3*(b + 2)*(b + 8)*(3*b + 2)
Let f(d) be the first derivative of d**5/40 - d**4/8 - 13*d**3/24 + 7*d**2/4 + 15*d/2 + 2989. Determine r so that f(r) = 0.
-2, 3, 5
Let x(k) = k**2 + k - 64. Let z be x(-19). Let m = z - 276. Find d such that -6/5*d**3 + 24/5 + 42/5*d + 12/5*d**m = 0.
-1, 4
Let a(j) be the first derivative of j**6/1800 - j**5/150 + j**4/30 - 40*j**3/3 + 55. Let n(d) be the third derivative of a(d). Factor n(i).
(i - 2)**2/5
Let b(y) be the third derivative of 5*y**9/18144 + y**8/2016 - y**7/504 - 13*y**3/2 - y**2 - 43. Let x(v) be the first derivative of b(v). Factor x(w).
5*w**3*(w - 1)*(w + 2)/6
Suppose 0 + 16/5*y**4 - 632/5*y - 364/5*y**3 + 196*y**2 = 0. Calculate y.
0, 1, 2, 79/4
Let g(l) be the first derivative of 0*l - 1/2*l**2 + 48 - 1/5*l**5 + 1/3*l**3 + 1/4*l**4. Factor g(a).
-a*(a - 1)**2*(a + 1)
Let h be (-15)/50*-5*(-8)/(-6). Suppose 18 = 4*j + 5*l, 3*l - h*l = -5*j + 12. Determine g, given that -5*g - 50*g**j - 50*g**2 + 110*g**2 - 5*g**3 = 0.
0, 1
Factor -443 + 139*n + 396*n + 409*n**2 - 181*n**2 + 1843 - n**3 - 182*n**2.
-(n - 56)*(n + 5)**2
Suppose 2*z + 4 - 8 = -4*p, 5*z = -10. Solve -2*k**3 + p*k + 0*k + 58 - 58 + 3*k**2 = 0.
-1/2, 0, 2
Let b(p) be the second derivative of -p**7/27 - 11*p**6/45 - 13*p**5/30 - 7*p**4/54 + 2*p**3/9 - 2318*p. Find s, given that b(s) = 0.
-3, -1, 0, 2/7
Let c be (3/(-12)*-6)/((-540)/(-720)). Let s(u) be the first derivative of 26 - u**c + 1/3*u**3 + 1/2*u**4 + 0*u - 1/5*u**5. Factor s(y).
-y*(y - 2)*(y - 1)*(y + 1)
Let b(z) be the second derivative of -7/40*z**5 + 0 - 1/6*z**4 + 7/12*z**3 + 94*z + z**2. Factor b(u).
-(u - 1)*(u + 1)*(7*u + 4)/2
Let t(f) be the second derivative of -f**5/10 - 61*f**4/18 - 16*f**3/9 + 80*f**2/3 - 57*f - 5. Determine l, given that t(l) = 0.
-20, -4/3, 1
Factor -65/4*l + 63/4 + 1/4*l**2 + 1/4*l**3.
(l - 7)*(l - 1)*(l + 9)/4
Let d(v) = v**2 - 6*v - 22. Let j be d(9). Suppose 0 = 2*u - 3*u + j. Factor 0*l**2 + u*l + 22*l**2 - 2*l**2 + 15*l**3.
5*l*(l + 1)*(3*l + 1)
Let r(y) be the first derivative of y**3/18 + 353*y**2/6 + 124609*y/6 + 2147. Factor r(z).
(z + 353)**2/6
Factor -62/7*g**2 - 12/7 - 74/7*g.
-2*(g + 1)*(31*g + 6)/7
Suppose 3*n - n - 18 = 0. Let q be 188/36 - 2/n. Factor q*d**2 - 3*d**3 - 5*d + 12 + 2*d**2 + 26*d - d**2.
-3*(d - 4)*(d + 1)**2
Suppose -55 = 5*d, 16*d - 14*d = -2*v - v - 16. Factor 51*r + 867/2 + 3/2*r**v.
3*(r + 17)**2/2
Let o = 42989 + -42981. Find r such that 0 - 1/2*r**4 - o*r**2 + 0*r - 4*r**3 = 0.
-4, 0
Let k be 68/(-544) + (-1834)/(-336). Factor 1/3*c**3 + 0 + 28/3*c - k*c**2.
c*(c - 14)*(c - 2)/3
Let h(s) be the first derivative of s**6/720 + s**5/30 - 3*s**4/16 + 2*s**3/3 + 82*s - 11. Let b(z) be the third derivative of h(z). Factor b(c).
(c - 1)*(c + 9)/2
Let s = 25277 + -25274. Let q be (-8)/(2/((-2)/3)). Suppose -q*r**s - 2/3*r**4 - 4/3*r**2 + 2 + 8/3*r = 0. Calculate r.
-3, -1, 1
Let t(d) = -848*d + 49 + 818*d + 151 + d**2. Let g be t(10). Factor 1/4*u**5 + 0 + 0*u**2 - 1/2*u**4 - 3/4*u**3 + g*u.
u**3*(u - 3)*(u + 1)/4
Let r(a) be the first derivative of a**6/90 - 19*a**5/360 + 7*a**4/72 + 2*a**3 - 10*a - 97. Let n(s) be the third derivative of r(s). Factor n(u).
(u - 1)*(12*u - 7)/3
Suppose -2062*k = -2072*k. Let d(s) be the third derivative of k*s - 1/8*s**3 + 0 + 1/24*s**4 - 1/240*s**5 + 13*s**2. Factor d(f).
-(f - 3)*(f - 1)/4
Let x(u) = 523*u**3 - 4*u**2 - 4*u - 2. Let p be x(-1). Let o = -524 - p. Find g such that -1/2*g - o + 1/2*g**2 = 0.
-1, 2
Let t(g) be the third derivative of 25/2*g**3 + 215/24*g**4 + 0 - 2*g + 5/24*g**6 + 11/4*g**5 - 84*g**2. What is k in t(k) = 0?
-5, -1, -3/5
Let z(s) be the second derivative of s**5/20 + 4*s**4/3 + 61*s**3/6 + 33*s**2 + 412*s + 2. Factor z(c).
(c + 2)*(c + 3)*(c + 11)
Suppose -20/3*k**3 + 444*k**2 - 8816/3 - 7168*k = 0. Calculate k.
-2/5, 29, 38
Suppose -2/9*c**2 - 448/3 - 236/9*c = 0. What is c?
-112, -6
Let a = 270827 - 270823. Determine k, given that 0 - 2/9*k**2 + 4/9*k + 2/9*k**a - 2/3*k**3 + 2/9*k**5 = 0.
-2, -1, 0, 1
Let b(v) be the first derivative of -1/2*v**4 + 1/15*v**6 + 0*v**2 + 129 + 0*v + 0*v**3 - 8/25*v**5. Solve b(y) = 0.
-1, 0, 5
Suppose -11*p = 23*p - 13974. Let o = 823/2 - p. Factor -o*u**2 - 5/2*u + 5/2*u**3 - 1 + 3/2*u**4.
(u - 1)*(u + 1)**2*(3*u + 2)/2
Let i be 8/42*(-798)/228 - -12. Factor -5*b + 1/3*b**2 - i.
(b - 17)*(b + 2)/3
Let s be (35/7 - (-175)/(-14))/((-66)/8). Suppose -4/11 + 18/11*u**3 - s*u**2 - 18/11*u + 14/11*u**4 = 0. What is u?
-1, -2/7, 1
Suppose 0*u**2 - 2*u**4 + 4/3*u**3 + 0*u + 2/3*u**5 + 0 = 0. What is u?
0, 1, 2
Let j(m) = 2*m**2 + 2785*m + 30393. Let y be j(-11). Solve -1/4*v**4 - 2*v**3 - 13/4*v**2 - 3/2*v + y = 0.
-6, -1, 0
Let k(f) be the first derivative of -f**5/25 + 13*f**4/10 + 49*f**3/5 + 122*f**2/5 + 124*f/5 + 1392. Suppose k(j) = 0. What is j?
-2, -1, 31
Let v(a) be the first derivative of -1/8*a + 33 + 1/24*a**3 + 0*a**2. Factor v(z).
(z - 1)*(z + 1)/8
Factor -2*h**4 - 36*h + 53693*h**2 - 53750*h**2 + 4*h**4 - 19*h**3.
h*(h - 12)*(h + 1)*(2*h + 3)
Let a(g) be the second derivative of g**4/15 + 172*g**3/15 + 34*g**2 - 3108*g. Factor a(l).
4*(l + 1)*(l + 85)/5
Let j be 6/4 - 162/12. Let o = -10 - j. What is k in -4*k**2 + 3 - 10*k**o - k**2 - 12*k = 0?
-1, 1/5
Suppose 5*w = 855 - 180. Let u be ((-9)/(-6))/(-3)*(-54)/w. Factor -5 - u*r**2 - 2*r.
-(r + 5)**2/5
Let n(q) be the third derivative of q**6/120 + q**5/20 + q**4/12 + 2*q**2 - 252. Find a, given that n(a) = 0.
-2, -1, 0
Let m(i) = 82*i**2 - 80*i - 176. Let a(b) = 19*b**2 - 20*b - 44. Let h(l) = -26*a(l) + 6*m(l). Find o, given that h(o) = 0.
-2, 22
Let l(z) = -11*z**3 + 40*z**2 - 139*z + 178. Let s(p) = -114*p**3 + 402*p**2 - 1389*p + 1779. Let u(d) = -21*l(d) + 2*s(d). Solve u(j) = 0 for j.
3, 4, 5
Let d(o) = -4*o**4 + 43*o**3 - 78*o**2 - 389*o - 427. Let w(v) = -3*v**4 + 41*v**3 - 76*v**2 - 388*v - 424. Let a(g) = -8*d(g) + 9*w(g). Factor a(h).
5*(