 5*r + 3, 3*f - 15 - 8 = -r. Factor -14 + 19*j**2 + 9*j**2 - 49 + 23 + f*j**3 - 68*j.
4*(j - 2)*(j + 5)*(2*j + 1)
Let t(z) be the first derivative of 0*z**2 - 10*z + 1/72*z**4 + 9 + 0*z**3. Let n(o) be the first derivative of t(o). Find a such that n(a) = 0.
0
Suppose -48 = -4*l + 4*f, -8*l + 1260*f = 1257*f - 36. Factor 6/13*j**2 + 20/13*j + l - 2/13*j**3.
-2*j*(j - 5)*(j + 2)/13
Let z(c) be the first derivative of -c**5/5 - 97*c**4/4 - 1023*c**3 - 29403*c**2/2 + 71874*c - 2258. Factor z(r).
-(r - 2)*(r + 33)**3
Let m(c) be the first derivative of 10 - 3*c**2 + 8*c + 3/2*c**3 - 1/4*c**4. Let g(w) be the first derivative of m(w). Factor g(d).
-3*(d - 2)*(d - 1)
Factor 514/9*z + 2/9*z**2 + 0.
2*z*(z + 257)/9
Factor 12/5*q**2 - 1624/5 + 2428/5*q.
4*(q + 203)*(3*q - 2)/5
Let g(d) be the third derivative of 23 + 1/480*d**6 + 1/8*d**3 + 0*d + 1/240*d**5 - 3*d**2 - 5/96*d**4. Suppose g(z) = 0. Calculate z.
-3, 1
Let z(i) = -i**3 - 15*i**2 + 209*i + 65. Let v be z(9). Find o such that -2/3*o - 10/9*o**v - 2/9*o**3 + 2 = 0.
-3, 1
Factor 4/5 - 7/5*f**2 - 12/5*f.
-(f + 2)*(7*f - 2)/5
Let c(l) be the second derivative of -l**6/10 + 57*l**5/20 - 7*l**4/2 - 38*l**3 + 108*l**2 - 2*l + 3615. Determine a so that c(a) = 0.
-2, 1, 2, 18
Let c = 31 - -47. Let b = -23 + c. Let -51*m**2 + b*m**2 + 5*m**3 + 4*m**4 + 3*m**3 = 0. What is m?
-1, 0
Let p(d) = -30*d**3 - 1068*d**2 - 2145*d - 1140. Let t(m) = -m**3 - m**2 - 2*m - 3. Let x(i) = -p(i) + 33*t(i). Find k, given that x(k) = 0.
-1, 347
Let m(o) be the first derivative of 1/96*o**4 - 1/6*o**3 + 13 + o**2 + 11*o. Let l(u) be the first derivative of m(u). Find b, given that l(b) = 0.
4
Let p be (2 - (5 + -3)) + (-33)/(-22). Let l(y) be the first derivative of -10 - 3/5*y**5 + 0*y + y**3 - 3/4*y**4 + p*y**2. What is t in l(t) = 0?
-1, 0, 1
Suppose -2 - 60 = -31*y. Suppose 68 - 71 = -p. Factor 2/3*c - 1/6*c**4 - 2/3*c**p - 1/2*c**y + 2/3.
-(c - 1)*(c + 1)*(c + 2)**2/6
Determine b, given that 0 - 25/6*b**2 + 1/2*b**3 + 7/2*b + 1/6*b**4 = 0.
-7, 0, 1, 3
Suppose -4*z + 47 = x + 25, -2*x - 11 = -3*z. Let -6/5*v**3 + 24/5*v + 9/5*v**x - 3/5*v**4 + 12/5 = 0. What is v?
-2, -1, 2
Let y(d) = 8*d - 78. Let a be y(10). Factor 34*w**3 + 6*w**4 + 4 - 6*w**a - 4 + 2*w**5 - 32*w**3 - 4*w.
2*w*(w - 1)*(w + 1)**2*(w + 2)
Let j = 708059/63 - 11239. Let a(l) be the first derivative of 2/7*l + j*l**3 - 17 + 4/21*l**2. Factor a(n).
2*(n + 1)*(n + 3)/21
Let o(k) be the first derivative of -k**3/21 - 79*k**2/14 - 22*k - 2021. Factor o(v).
-(v + 2)*(v + 77)/7
Let w(i) be the third derivative of 0*i**3 + 0 - 1/180*i**7 + 1/144*i**6 + 5/24*i**5 - 1/2016*i**8 - 6*i**2 + 0*i + 0*i**4. Find l such that w(l) = 0.
-5, 0, 3
Let u be (556/(-1529))/((-3)/33). Let c(x) be the first derivative of -36 + 16*x**u + 4*x**2 + 0*x - 44/3*x**3 - 28/5*x**5. Solve c(d) = 0.
0, 2/7, 1
Let g(n) be the first derivative of 8/15*n**3 + 0*n + 0*n**2 + 1/5*n**4 - 44. Find l such that g(l) = 0.
-2, 0
Let t(a) be the third derivative of a**6/80 + 153*a**5/40 - 233*a**4/8 + 78*a**3 - 1811*a**2. Find x such that t(x) = 0.
-156, 1, 2
Factor 24860*u - 4*u**4 - 25140*u - 115*u**2 - 17*u**2 + 144*u**3.
-4*u*(u - 35)*(u - 2)*(u + 1)
Let o(v) = -5*v**3 + 8*v**2 + 2*v + 2. Suppose 3*i + 44*i = -94. Let x(u) = -7*u**3 + 8*u**2 + 3*u + 3. Let n(w) = i*x(w) + 3*o(w). Factor n(k).
-k**2*(k - 8)
Let s(h) be the third derivative of 183*h**6/40 - h**5/10 + 3730*h**2. Let s(k) = 0. Calculate k.
0, 2/183
Let b(p) be the first derivative of -p**4/96 - p**3/8 + 50*p - 42. Let h(f) be the first derivative of b(f). Solve h(t) = 0 for t.
-6, 0
Let w(f) = -f**2 - 54*f + 796. Let x be w(12). Let t(o) be the second derivative of 27*o + 0*o**2 - 3/32*o**5 - 1/8*o**x + 0 + 1/16*o**3. Factor t(c).
-3*c*(c + 1)*(5*c - 1)/8
Let i(m) be the first derivative of -m**5 + 15*m**4/4 + 15*m**3 - 135*m**2/2 + 993. Factor i(d).
-5*d*(d - 3)**2*(d + 3)
Let k be (2700/(-3000))/((-6)/20). Let t(m) be the first derivative of 51/2*m**2 + 3/5*m**5 + 18*m + 21/4*m**4 + 17*m**k + 2. Factor t(y).
3*(y + 1)**2*(y + 2)*(y + 3)
Let b(p) be the second derivative of p**6/15 + 9*p**5/20 + 11*p**4/12 - 2*p**2 - 2856*p. Determine g so that b(g) = 0.
-2, -1, 1/2
Let i be ((-58)/(-145))/(1/5). Find m such that 2*m**2 - 12*m + 53 - 30 - 35 + i*m = 0.
-1, 6
Let b = -197957/259 + -8398/37. Let x = b + 993. Solve x - 36*a + 189*a**2 = 0 for a.
2/21
Let g(n) be the second derivative of -n**5/20 - n**4 - 13*n**3/2 - 14*n**2 - 11*n - 20. Factor g(c).
-(c + 1)*(c + 4)*(c + 7)
Let 2*a**5 + 20*a**4 + 662*a - 48*a - 20*a + 72*a**2 - 540 - 148*a**3 = 0. What is a?
-15, -2, 1, 3
Suppose 14*o + 11*o = 105*o - 400. Factor 0*p**2 - 4/7*p**3 + 0*p - 4/7*p**4 + 0 - 1/7*p**o.
-p**3*(p + 2)**2/7
Let m(k) be the first derivative of 0*k**3 + 0*k + 1/3*k**2 + 61 + 0*k**5 + 1/9*k**6 - 1/3*k**4. Factor m(y).
2*y*(y - 1)**2*(y + 1)**2/3
Let v(r) be the third derivative of -3/4*r**4 + 3 + r**3 - 16*r**2 - 7/40*r**5 + 0*r. Factor v(g).
-3*(g + 2)*(7*g - 2)/2
Suppose -958*h**3 - 385*h**2 - 51*h**2 + 954*h**3 = 0. What is h?
-109, 0
Suppose -23*g = -14*g - 27. Factor -8 + 10*y - 15*y**3 + 6*y**2 + 162*y**4 + 5*y**g - 160*y**4.
2*(y - 4)*(y - 1)**2*(y + 1)
Solve 0 + 2/3*m**2 + m**4 + 7/3*m**3 + 0*m = 0.
-2, -1/3, 0
Let c = -8274 - -107563/13. Let r(f) be the second derivative of -1/78*f**4 + 0 + c*f**2 - 1/39*f**3 - f + 1/130*f**5. Factor r(z).
2*(z - 1)**2*(z + 1)/13
Let n(u) = 3*u**2 + 4*u - 42. Let l be n(5). Determine h so that 23*h**2 - 5*h + 10*h**3 - l*h**2 + 5*h**5 - 15*h**4 - 10*h + 40*h**2 + 5 = 0.
-1, 1
Suppose 55*s = 4706 - 4431. Factor 0*l**2 + 0 + l**3 + 9/2*l**4 + 0*l + 7/2*l**s.
l**3*(l + 1)*(7*l + 2)/2
Let g(r) be the first derivative of -3*r**4/2 - 59*r**3 - 267*r**2 + 312*r + 1148. Factor g(l).
-3*(l + 4)*(l + 26)*(2*l - 1)
Let t(q) be the first derivative of -q**6/48 + 11*q**5/40 - 23*q**4/16 + 15*q**3/4 - 81*q**2/16 + 27*q/8 - 621. Factor t(j).
-(j - 3)**3*(j - 1)**2/8
Suppose 126214*n**3 + 36*n**2 - 126210*n**3 - 2916 - 104*n - 220*n = 0. What is n?
-9, 9
Let x(h) be the first derivative of -5/8*h**4 - 1/12*h**3 - 34 - 3/20*h**5 + 3/4*h**2 + 0*h. Factor x(v).
-v*(v + 1)*(v + 3)*(3*v - 2)/4
Let o(m) be the first derivative of m**4/18 + 28*m**3/3 + 588*m**2 - 134*m - 110. Let c(t) be the first derivative of o(t). Let c(i) = 0. What is i?
-42
Determine t so that -49*t**2 - 53*t**2 + 90*t**2 + 0*t**4 + 40*t**3 - 80 - 128*t + 4*t**4 = 0.
-10, -1, 2
Let r(p) be the first derivative of -3*p**5/5 - 165*p**4/4 - 156*p**3 + 893. Factor r(x).
-3*x**2*(x + 3)*(x + 52)
Let s = -3945894/7 + 561903. Let m = 1797 + s. What is c in m*c + 9/7*c**2 + 0 - 15/7*c**3 = 0?
-2/5, 0, 1
Let y(j) be the second derivative of j**4/60 - 79*j**3/30 + 37*j**2 + j + 828. Determine l so that y(l) = 0.
5, 74
Let f(x) be the second derivative of 2*x**7/7 - 257*x**6/10 - 549*x**5/5 - 337*x**4/4 + 67*x**3 - 8454*x. What is b in f(b) = 0?
-2, -1, 0, 1/4, 67
Suppose 0 = -5*f + 5 + 10. Let j = 2/17943 + 1993/5981. Determine a, given that 0 + 0*a + 1/3*a**f + j*a**2 = 0.
-1, 0
Let s be (-3 - 46/(-12))*(-5238)/(-1455). Factor 1/2*g - 1/4*g**4 + g**s - 5/4*g**2 + 0.
-g*(g - 2)*(g - 1)**2/4
Let s(n) be the third derivative of n**5/60 + n**4/3 + 7*n**3/6 + 1007*n**2. Let s(t) = 0. What is t?
-7, -1
Let p be (-15)/(-3) - 0/(-16). Suppose -y = 2*k + 3*k - 5, -p*y - 4*k = -4. Factor 0 + 1/3*o**2 + y*o.
o**2/3
Let z(c) be the third derivative of c**8/35 - 2*c**7/35 + 3*c**6/80 - 53*c**4/24 - 114*c**2. Let y(t) be the second derivative of z(t). Solve y(o) = 0 for o.
0, 3/8
Let d(p) be the second derivative of p**7/280 - p**6/240 - p**5/20 + 23*p**4/4 + 8*p. Let z(u) be the third derivative of d(u). Factor z(c).
3*(c - 1)*(3*c + 2)
Let b(y) = 23*y**3 - 793*y**2 + 1583*y - 793. Let j(s) = -11*s**3 - s**2 + 2*s. Let c(p) = b(p) + 2*j(p). Determine h so that c(h) = 0.
1, 793
Let w = 117724 - 823972/7. What is r in 9/7*r**2 + 36/7 + 15/7*r**3 - w*r = 0?
-3, 2/5, 2
Determine w, given that 52/11 - 2/11*w**2 - 50/11*w = 0.
-26, 1
Let o(g) be the third derivative of -4608*g**6 - 30*g**4 - 5/6*g**3 - g**2 - 576*g**5 + 5 + 0*g. Let o(y) = 0. Calculate y.
-1/48
Let v(r) be the first derivative of -7*r**6/2 - 1986*r**5/5 - 15354*r**4/7 - 28208*r**3/7 - 2472*r**2 - 4320*r/7 + 10288. What is p