rst derivative of v**5 + 3*v**4 + 3*v**3 + v**2 - 805. Find p, given that y(p) = 0.
-1, -2/5, 0
Let j(t) = t**2 - 6*t + 1. Let k(h) = -10*h**2 + 34*h + 164. Let f(w) = 12*j(w) + k(w). Factor f(d).
2*(d - 11)*(d - 8)
Suppose -17*c + 2*c + 1680 = 0. Let m = c - 87. Factor -m*k**2 + 7*k**2 + 14*k**3 - 4 + 22*k - 14*k**2.
2*(k - 1)**2*(7*k - 2)
Let n be (-1)/(-6) - 164/(-24). Suppose 0 = n*f - 24 + 3. Factor 86*w**2 - 8*w**3 - 84*w + 24 - 7*w**f - 20*w**2.
-3*(w - 2)**2*(5*w - 2)
Let z(c) be the first derivative of -23*c**6/18 - 67*c**5/15 + 58*c**4 + 2884*c**3/9 + 976*c**2/3 - 64*c - 4897. Let z(l) = 0. What is l?
-4, -1, 2/23, 6
Let s be 8/26 + 2592/702. Let m(f) be the first derivative of -1/4*f**2 + f + 6 + 1/8*f**s - 1/3*f**3. Solve m(g) = 0.
-1, 1, 2
Let u be 753/24 - ((-868)/(-54) - (-856)/(-11556)). Find f, given that 3/8*f**5 - 21/4*f + u*f**2 - 117/8*f**3 + 33/8*f**4 + 0 = 0.
-14, 0, 1
Let l(a) be the first derivative of 1/4*a**4 + 1/6*a**2 + 0*a - 1/15*a**5 - 1/3*a**3 - 65. Factor l(t).
-t*(t - 1)**3/3
Let s(u) = -u**3 - u**2 - u + 1. Let z(h) = 40*h**2 - 365*h**2 + 2175 + 5279*h - 1537*h + 1574*h + 8*h**3. Let w(r) = 3*s(r) + z(r). Solve w(b) = 0.
-2/5, 33
Let p be 1*(-4 + 5)*1. Let y be p/(-6) - 2321/(-66). What is f in 10*f + y + 5*f**2 - 2*f + 32*f = 0?
-7, -1
Let d(k) = 56*k**3 - 478*k**2 + 774*k - 317. Let v(q) = 10*q**3 - 2*q - 1. Let y(w) = -d(w) + 5*v(w). Factor y(a).
-2*(a - 78)*(a - 1)*(3*a - 2)
Let y = 114981/10 - 57488/5. Factor 1/5*u**2 + y*u**3 - 4/5*u + 0 + 1/10*u**4.
u*(u - 1)*(u + 2)*(u + 4)/10
Let i(p) be the third derivative of -p**5/30 + 11*p**4 - 1547*p**3/3 + 38*p**2 - 37. Factor i(h).
-2*(h - 119)*(h - 13)
Let z(l) be the third derivative of -l**7/70 + 47*l**6/4 - 54753*l**5/20 - 13865*l**4 - 27848*l**3 + 623*l**2 + 2. Factor z(p).
-3*(p - 236)**2*(p + 1)**2
Suppose 578 - 529 = 7*q. Let d(j) be the third derivative of 0 - 1/32*j**4 + 1/160*j**6 + 0*j**3 - q*j**2 - 1/240*j**5 + 1/840*j**7 + 0*j. Solve d(o) = 0.
-3, -1, 0, 1
Factor -2666964 - y**2 + 967156 - 957092 + 3260*y.
-(y - 1630)**2
Suppose -7*t - 19187 + 19327 = 0. Let w(g) be the first derivative of 1/35*g**5 + 1/28*g**4 + 0*g + 0*g**2 + 0*g**3 - t. Find f, given that w(f) = 0.
-1, 0
Let h(k) be the first derivative of 117*k**5/25 - 1851*k**4/20 + 206*k**3 - 762*k**2/5 + 168*k/5 - 3071. Find l, given that h(l) = 0.
2/13, 2/3, 1, 14
Let a(m) be the first derivative of 3*m**5/10 - 771*m**4/8 + 127*m**3 + 384*m**2 - 4769. Find z such that a(z) = 0.
-1, 0, 2, 256
Let s(k) = 3*k + 1. Let l be s(1). Let w(o) be the first derivative of 4*o**3 - o**3 - 4*o - 6*o**2 - 16 - o**l + 3 - 7*o**3. Suppose w(y) = 0. Calculate y.
-1
Factor 8/7*y**5 - 2*y**3 - 4/7*y**2 - 8/7*y**4 + 0 + 0*y.
2*y**2*(y - 2)*(2*y + 1)**2/7
Let k = 543638 - 2174549/4. Suppose 3/8*t**4 + 9/4*t**3 - 3/2*t + 9/8 - k*t**5 - 3/2*t**2 = 0. Calculate t.
-3/2, -1, 1
Suppose 2*t + 2*d - 9 = 17, 0 = -3*t - d + 43. Suppose -13*j = -t*j + 10. Factor -2*y**j - 21*y**4 + 9*y**2 - 9*y**2 + 27*y**4.
-2*y**4*(y - 3)
Let x(n) = 2*n**2 + 1. Let l(z) be the second derivative of z**4/4 - 40*z**3/3 + 37*z**2 + z - 5. Let s(r) = l(r) + x(r). Factor s(i).
5*(i - 15)*(i - 1)
Suppose 2*h - 12 = -2*p, p + h = -3*h + 18. Let j be (1170/(-429))/10 + (-398)/(-330). Solve j*f**p + 6/5*f + 4/15 = 0.
-1, -2/7
Let i(q) = q**3 + 6*q**2 + 7*q - 2. Let a be i(-4). Let o(z) = 4*z**2 - 3*z + 3. Let l be o(a). Solve 5*m + 30 + 30*m + 18*m**2 - l*m**2 = 0 for m.
-6, -1
Let c(l) = -9*l**2 + 10*l - 54. Let h(o) = -13*o**2 + 14*o - 76. Let v(g) = 10*c(g) - 7*h(g). Find m, given that v(m) = 0.
-4, 2
Let g(w) = -w**4 - 37*w**3 + 205*w**2 - 195*w - 450. Let l(n) = 2*n**4 - 4*n**3 + n**2. Let u(x) = -g(x) - 2*l(x). Solve u(c) = 0.
-1, 5, 6
Let g(m) be the second derivative of -1/18*m**4 - 5*m - 10201/3*m**2 - 202/9*m**3 + 7. Factor g(n).
-2*(n + 101)**2/3
Suppose -2*l - 12 = 5*s - 49, 0 = 4*l + 3*s - 25. Let c be (8/(-20))/((-4)/5). Factor 3/2*w**2 - 1/2*w**4 + l + 5/2*w - c*w**3.
-(w - 2)*(w + 1)**3/2
Let u(p) = 7*p**3 - 18*p - 10 + p**3 + 0. Let y(x) = -15*x**3 + 35*x + 20. Let l be ((-1)/3)/((-7)/(-63)). Let s(m) = l*y(m) - 5*u(m). Factor s(b).
5*(b - 2)*(b + 1)**2
Let t(j) be the third derivative of 25/24*j**4 - 5*j**3 + 42*j**2 + 0*j + 0 - 1/12*j**5. Find f, given that t(f) = 0.
2, 3
Find y such that 6852*y**2 - 3414*y**2 + 26*y**3 - 3347*y**2 + y**4 + 66*y = 0.
-22, -3, -1, 0
Let v(j) be the second derivative of -j**7/7560 - j**6/720 - 155*j**4/12 - 27*j - 2. Let f(y) be the third derivative of v(y). Solve f(g) = 0 for g.
-3, 0
Let q(n) be the first derivative of 2*n**5/95 - 27*n**4/38 - 56*n**3/57 - 1030. Determine h so that q(h) = 0.
-1, 0, 28
Suppose 4*m + 5*h + 2927 = 0, 966 = -3*m + h - 1215. Let c = m - -730. Solve 4/15*a**c + 0*a**3 + 2/15*a + 0 - 2/15*a**5 - 4/15*a**4 = 0 for a.
-1, 0, 1
Let h(x) be the second derivative of -x**6/180 - x**5/6 + 11*x**4/12 + x**3/6 + 13*x**2 - 95*x. Let f(n) be the second derivative of h(n). Factor f(g).
-2*(g - 1)*(g + 11)
Let y = 32834288/5 - 6537046. Let 2260713/5*n**3 + 24/5 + 3276/5*n + y*n**2 = 0. What is n?
-2/91
Let m(p) be the second derivative of -1/9*p**4 + 2/3*p**2 + 1/18*p**3 + 2 - 4*p - 1/60*p**5. Determine x so that m(x) = 0.
-4, -1, 1
Let n be (-23)/(161/28) - (-89 - 1). Let h = n - 86. Factor 8/13*w**5 + 0 + 0*w + h*w**4 + 2/13*w**2 - 6/13*w**3.
2*w**2*(w + 1)*(2*w - 1)**2/13
Factor -24*i - 9*i**2 + 6*i**3 - 342*i**4 - 12 + 134*i**4 + 211*i**4.
3*(i - 2)*(i + 1)**2*(i + 2)
Let l(a) be the third derivative of 1/560*a**7 + 0 + 1/64*a**6 - 1/4*a**3 + 0*a + 28*a**2 - 5/64*a**4 + 3/160*a**5. Factor l(i).
3*(i - 1)*(i + 1)**2*(i + 4)/8
Let a = -62 + 72. Factor 81*x - 5*x**2 + 169*x + a*x**2 + 2000 - 50*x.
5*(x + 20)**2
Let m(x) = -7*x**4 - 36*x**3 + 200*x**2 - 324*x + 149. Let q(a) = -29*a**4 - 146*a**3 + 799*a**2 - 1294*a + 595. Let u(v) = -25*m(v) + 6*q(v). Factor u(b).
(b - 5)*(b - 1)**2*(b + 31)
Let n be ((-536)/6)/((-305354)/(-5865)). Let r = -2/1283 - n. Determine d so that -3/7*d**2 - 9/7*d + r = 0.
-4, 1
Let n(l) = -l**2 + 75*l + 2756. Let h be n(-27). Let z(p) be the second derivative of 0*p**h + 0 - 2/3*p**3 + 15*p + 1/6*p**4. Factor z(m).
2*m*(m - 2)
Let t = -3450 + 3450. Let l(f) be the third derivative of 7*f**2 + t*f - 1/12*f**3 + 0 + 1/96*f**4 + 1/240*f**5. Factor l(d).
(d - 1)*(d + 2)/4
Let h(z) be the third derivative of -z**8/672 + 13*z**7/210 + 19*z**6/40 + 22*z**5/15 + 119*z**4/48 + 5*z**3/2 - 10*z**2 + 31*z. Factor h(j).
-(j - 30)*(j + 1)**4/2
Suppose 0 = 57*f - 7*f - 850. Factor 6*x**2 + 66 - f*x + 5*x - 9*x**2 - 15*x.
-3*(x - 2)*(x + 11)
Let 876/7*s**3 - 2/7*s**4 + 0 + 0*s - 874/7*s**2 = 0. Calculate s.
0, 1, 437
Let v(s) be the first derivative of 22*s**3/3 + 21*s**2/2 - s - 10465. Let v(z) = 0. Calculate z.
-1, 1/22
Let b(g) be the second derivative of 3*g**5/40 - 1961*g**4/8 - g**3/4 + 5883*g**2/4 + 4569*g. Find s, given that b(s) = 0.
-1, 1, 1961
Suppose -7*m + 337 - 15345 = 0. Let w = -2139 - m. Let -2/3*z - 8/9*z**4 + 2/9*z**w + 4/9*z**3 + 0 + 8/9*z**2 = 0. What is z?
-1, 0, 1, 3
Let c(f) be the first derivative of 125*f**3/12 + 123*f**2/8 - f/2 + 13861. Factor c(n).
(n + 1)*(125*n - 2)/4
Suppose -1574*j**2 + 47*j**3 - 211 + 1144*j + 1134 + 1408*j - 57*j**3 + 349 = 0. What is j?
-159, -2/5, 2
Let t(k) be the second derivative of k**6/30 + 7*k**5/10 + 456*k. Factor t(j).
j**3*(j + 14)
Let p(c) be the first derivative of c**5/60 - 13*c**4/24 + 2*c**3 + 55*c**2/2 - 56. Let b(k) be the second derivative of p(k). Find x, given that b(x) = 0.
1, 12
Suppose -4*a + 45 - 21 = 0. Suppose -a*q = 68 - 80. Factor -4/21 + 4/21*c**q + 2/7*c.
2*(c + 2)*(2*c - 1)/21
Suppose 172 = -4906*a + 4984*a - 62. Factor -2/11*s**a - 20/11 - 6/11*s + 12/11*s**2.
-2*(s - 5)*(s - 2)*(s + 1)/11
Let o be (-6)/(-9) - ((-21)/9 + 1). Let w be (o - 4)*7/(63/(-18)). Factor -s**2 + 3/2*s - s**3 - 1/2 - 1/2*s**5 + 3/2*s**w.
-(s - 1)**4*(s + 1)/2
Let z = 774539/5 - 153889. Let v = 1022 - z. Let 12/5*b**2 + 4/5*b**3 + 0*b - v = 0. Calculate b.
-2, 1
Let b(u) be the second derivative of -u**6/90 - 7*u**5/60 - 4*u**4/9 - 2*u**3/3 + 986*u. Let b(v) = 0. What is v?
-3, -2, 0
Let z(m) = 20*m**4 - 215*m**3 + 860*m**2 - 1140*m + 490. Let y(s) = 11*s**4 - 108*s**3 + 429*s**2 - 569*s + 246. Let f(x) =