 - -60. Let r be (10/o)/(-10)*8. Determine n so that -n**5 + 0*n**3 - n - 5*n**2 - n**r + 2*n**3 + 7*n**2 - 1 = 0.
-1, 1
Let p be -9 + ((-294)/(-16) - (49 - 40)). Let y(f) be the first derivative of -p*f**4 + f**2 - 1/10*f**5 + 22 + 0*f**3 + 0*f. Factor y(b).
-b*(b - 1)*(b + 2)**2/2
Let q be 1832/(-448) + (7 - 3). Let b = 9/56 - q. Factor 1/2 - 5/4*p - b*p**3 + p**2.
-(p - 2)*(p - 1)**2/4
Suppose 2*g - 20 = -14. Let h(i) = -105*i**2 + 235*i + 220. Let s(z) = 8*z**2 - 18*z - 17. Let m(b) = g*h(b) + 40*s(b). Solve m(f) = 0.
-1, 4
Let j(a) be the second derivative of a**5/100 - 43*a**4/2 + 27735*a**3/2 + a - 691. Determine m, given that j(m) = 0.
0, 645
Factor 0 + 68/3*q**3 + 0*q + 1/3*q**5 - 52/3*q**4 + 18496/3*q**2.
q**2*(q - 34)**2*(q + 16)/3
Let j(y) be the third derivative of -y**7/168 - y**6/18 - 31*y**3/2 - 2*y**2 + 1. Let c(m) be the first derivative of j(m). Suppose c(k) = 0. Calculate k.
-4, 0
Let z(t) be the first derivative of 5*t**4/4 + 35*t**3/3 - 10*t**2 - 140*t + 1676. Suppose z(u) = 0. Calculate u.
-7, -2, 2
Let l be 83804/(-6314) - (2 + -16). Suppose l*j**3 - 56/11*j**2 + 2/11*j**4 + 0 + 64/11*j = 0. What is j?
-8, 0, 2
Let v(y) be the third derivative of y**5/420 - 39*y**4/56 - 59*y**3/21 + 192*y**2. Let v(c) = 0. Calculate c.
-1, 118
Let o be (-3774)/(-1496) - (-9)/(-33). Let f(a) be the third derivative of 26*a**2 - o*a**4 + 0*a + 3/70*a**7 + 0*a**3 + 2/5*a**6 + 0 + 3/4*a**5. Factor f(x).
3*x*(x + 3)**2*(3*x - 2)
Let j(z) be the second derivative of -z**4/15 + 1352*z**3/15 - 228488*z**2/5 - 618*z - 1. Factor j(u).
-4*(u - 338)**2/5
Let s(r) = -28*r - 978. Let i be s(-35). Let v(z) be the second derivative of 8*z - 1/9*z**4 + 2/45*z**6 + 0 + 0*z**3 + 0*z**5 + 0*z**i. Factor v(q).
4*q**2*(q - 1)*(q + 1)/3
Factor 0*h**2 + 0 - 1/4*h**4 - 36*h + 13/4*h**3.
-h*(h - 12)*(h - 4)*(h + 3)/4
Let 1040/3*s - 22532*s**2 - 4/3*s**4 + 67600/3 - 1040/3*s**3 = 0. Calculate s.
-130, -1, 1
Let k(d) be the third derivative of d**8/1344 - 17*d**7/840 + 23*d**6/480 + 101*d**5/240 + 5*d**4/8 - 9*d**2 + 3. Find u such that k(u) = 0.
-1, 0, 4, 15
Let a be (-18 + (-1150)/(-75))/(-2). Factor a*d + 0 + 1/6*d**4 - 1/3*d**3 - 2/3*d**2.
d*(d - 2)**2*(d + 2)/6
Let k be 4 + 1336/(-1400) - 3. Let o = 8138/1925 - k. Determine t so that -32/11 + o*t**2 - 80/11*t - 6/11*t**3 = 0.
-1/3, 4
Let t(u) be the third derivative of -2*u**7/105 - 3*u**6/5 - 59*u**5/15 + 13*u**4 + 2*u**2 + 99*u + 1. Factor t(p).
-4*p*(p - 1)*(p + 6)*(p + 13)
Suppose 59*m + 24*m = 166. Let n be (11/(-2) - -1)*-2. Solve 2*h**3 - h**2 - m*h**4 + 4 + h**3 - n*h**3 + 6*h - h**2 = 0.
-2, -1, 1
Let t = 20307/5 + -4059. Let h(n) be the first derivative of 13/2*n**3 - t*n**5 + 6*n + 12*n**2 + 4 + n**6 - 33/8*n**4. Let h(v) = 0. Calculate v.
-1, -1/2, 2
Solve 49/5*d**5 - 48/5 + 1236/5*d**3 - 1184/5*d**2 + 416/5*d - 469/5*d**4 = 0.
2/7, 1, 2, 6
Suppose -306*a + 22*x - 22 = -301*a, 0 = 4*a + 5*x - 5. Factor 0*b + 2/11*b**3 - 20/11*b**2 + a.
2*b**2*(b - 10)/11
Let b(z) = -10*z - 576. Let q be b(-58). Suppose 6 = 24*p - 25*p - 2*t, 20 = -q*t. Determine j so that 0 - 15*j**3 + 5/2*j**p + 0*j + 25/2*j**2 = 0.
0, 1, 5
Suppose -2*f + 40 = 36. Suppose 5*w + b = 13, 2*b = -4*w + f + 12. Factor -2/11*z**w - 50/11 + 20/11*z.
-2*(z - 5)**2/11
Let r = 205 + -200. Suppose -5*w = r*t - 6 - 19, -3*t + 3 = 0. Determine u, given that 0*u + 2/9*u**5 + 2/3*u**2 - 2/3*u**w + 0 - 2/9*u**3 = 0.
-1, 0, 1, 3
Factor -1/4*z**2 + 21 - 5/4*z.
-(z - 7)*(z + 12)/4
Let w(s) be the first derivative of s**4/20 - 5*s**3 - 116*s**2/5 - 156*s/5 + 3556. Find c such that w(c) = 0.
-2, -1, 78
Let k = 2/132339 + 9131383/529356. Find x, given that k*x**2 - 9*x**3 + 9/4 + 57/2*x = 0.
-1, -1/12, 3
Let z be 39/((-2)/6 - 154/(-21) - 0). Factor 12/7 - 18/7*j**3 - 36/7*j + z*j**2 + 3/7*j**4.
3*(j - 2)**2*(j - 1)**2/7
Suppose 3*y = y - 4*d - 2, -y - 10 = 5*d. Let p be (-3 + -1)*(-5)/y. Factor -u + 4*u - 18*u**p - 6*u**2 + 24*u**4 - 3*u**5.
-3*u*(u - 1)**3*(u + 1)
Let f(n) = -140*n**3 - 2288*n**2 - 11928*n - 13832. Let b(r) = -47*r**3 - 761*r**2 - 3977*r - 4611. Let g(l) = -8*b(l) + 3*f(l). Solve g(y) = 0 for y.
-8, -18/11
Let a(j) = 4*j**5 + 17*j**4 - 12*j**3 - 32*j**2 - 16*j + 108. Let y(l) = l**5 + 4*l**4 - 3*l**3 - 8*l**2 - 4*l + 24. Let i(q) = -2*a(q) + 9*y(q). Factor i(f).
f*(f - 2)*(f + 1)**2*(f + 2)
Let f(u) be the second derivative of -u**5/50 + 23*u**4/30 + 26*u**3/15 - 48*u**2/5 + 1733*u. Factor f(v).
-2*(v - 24)*(v - 1)*(v + 2)/5
Let g(c) = -9*c**4 + c**3. Let z(h) = -24*h**4 - 477*h**3 - 1959*h**2 - 1476*h. Let j(k) = 3*g(k) - z(k). Determine o so that j(o) = 0.
-3, -1, 0, 164
Let w(v) be the third derivative of 0*v**3 + 1/20*v**5 - 22*v**2 - v + 0 - 5/24*v**4 - 1/480*v**6. Determine j so that w(j) = 0.
0, 2, 10
Let m(h) = 2*h**2 - 2*h. Let p(z) = -28*z**2 - 40*z - 60. Let y(o) = 12*m(o) + p(o). Find f, given that y(f) = 0.
-15, -1
Let b(t) be the second derivative of -28*t**7 + 1092*t**6/5 - 22641*t**5/40 + 2197*t**4/4 - 261*t**3 + 66*t**2 - 2*t - 79. Find j such that b(j) = 0.
1/4, 2/7, 2, 11/4
Let s be 1*(5 + 5)*1. Factor -3*q - 3*q**4 + 2*q - 9*q**2 + q**3 - 2*q - s*q**3.
-3*q*(q + 1)**3
Let z(o) = -7*o + 16. Let q be z(3). Let h = q - -7. Factor -11*b**2 + 33*b**2 + 9*b**3 + 3*b**4 - 16*b**h.
3*b**2*(b + 1)*(b + 2)
Suppose -8 = 5*b - 23. Suppose -b*t + 3 = -0*t. Let v(y) = y**2 - y - 2. Let r(l) = -l - 1. Let o(i) = t*r(i) + v(i). Factor o(h).
(h - 3)*(h + 1)
Let b(o) be the third derivative of o**7/840 - 11*o**6/120 + 121*o**5/40 - 37*o**4/12 - 93*o**2 + 2*o. Let y(x) be the second derivative of b(x). Factor y(v).
3*(v - 11)**2
Let a be 2/31 - (82 + 114147/(-1364)). Factor p**2 + a*p**3 + 1/2*p**4 + 0*p + 0 - 1/4*p**5.
-p**2*(p - 4)*(p + 1)**2/4
Find l, given that 361*l**2 - 1/2*l**5 + 5/2*l**4 + 995/2*l + 425/2 + 79*l**3 = 0.
-5, -1, 17
Let j(x) be the second derivative of -5/11*x**3 + 183*x + 1/66*x**4 + 0 - 16/11*x**2. Factor j(q).
2*(q - 16)*(q + 1)/11
Let i(h) be the first derivative of -h**6/21 - 2*h**5/35 + 29*h**4/14 - 158*h**3/21 + 80*h**2/7 - 8*h + 1039. Determine r so that i(r) = 0.
-7, 1, 2
Let m(y) = 2*y**3 + y**2 + 2*y + 2. Let c(v) = 12*v**3 - 101*v**2 + 1112*v + 8420. Let t(x) = 2*c(x) - 10*m(x). Factor t(u).
4*(u - 29)**2*(u + 5)
Factor 30*n + 288/5*n**2 - 108/5 + 6*n**3.
6*(n + 1)*(n + 9)*(5*n - 2)/5
Suppose 0 = 989*g - 987*g - 12. Let w be -8*(-8)/(g + 98). Suppose -4/13 - w*v**3 + 6/13*v + 0*v**4 + 2/13*v**5 + 4/13*v**2 = 0. What is v?
-2, -1, 1
Let o(j) be the third derivative of j**5/150 + 14*j**4/15 - 124*j**3/5 - 525*j**2. Factor o(m).
2*(m - 6)*(m + 62)/5
Let w(h) be the third derivative of -3*h**5/20 - 187*h**4/8 - 31*h**3 + 13*h**2 - 45. Factor w(j).
-3*(j + 62)*(3*j + 1)
Let j be ((-6408)/294 + 13 - -9)/(7/49). Factor -4 + 18/7*t + j*t**2.
2*(t - 1)*(5*t + 14)/7
Let h be (-6)/5*(-24 + -6). Suppose -3*k + 5*k - 4 = -m, -3*k = -5*m + 7. Determine t, given that 79*t**2 - h*t**m - 38*t**2 = 0.
0
Factor -1/3*s**4 + 61/3*s**3 - 256/3 + 4/3*s + 64*s**2.
-(s - 64)*(s - 1)*(s + 2)**2/3
Factor 384/7 + 134/7*f + 2/7*f**2.
2*(f + 3)*(f + 64)/7
Find r, given that -1629/5*r - 1/2*r**2 - 1953/10 = 0.
-651, -3/5
Let i(g) be the third derivative of 1/720*g**6 + 0*g**4 - 1/120*g**5 + 0*g + 9*g**2 + 1/9*g**3 + 0. Find j, given that i(j) = 0.
-1, 2
Let g(r) be the third derivative of -r**7/13860 - r**6/1980 + 11*r**4/4 + 120*r**2. Let o(v) be the second derivative of g(v). Solve o(q) = 0.
-2, 0
Let l(y) be the third derivative of -2*y**2 - 7/300*y**5 + 7/30*y**3 - 1/600*y**6 + 4 + 0*y + 1/120*y**4. Factor l(n).
-(n - 1)*(n + 1)*(n + 7)/5
Suppose -32*y + 27*y + 2*w - 4 = 0, y + 6 = 3*w. Suppose -16/3*g + y - 2/3*g**2 = 0. What is g?
-8, 0
Let v(w) be the first derivative of 0*w**5 + 0*w + 4/3*w**3 + 0*w**2 + 14 - 3/2*w**4 + 1/3*w**6. Solve v(y) = 0 for y.
-2, 0, 1
Let u(t) = -6*t**4 - 357*t**3 - 10092*t**2 + 348*t + 10095. Let y(a) = 13*a**4 + 717*a**3 + 20185*a**2 - 696*a - 20191. Let m(o) = 7*u(o) + 3*y(o). Factor m(f).
-3*(f - 1)*(f + 1)*(f + 58)**2
Suppose 34*q + 3 = 105. Suppose 2*p - 1 = q. What is c in -16/3 + 4*c**p + 20*c**4 - 16*c + 104/3*c**3 = 0?
-1, -2/5, 2/3
Let f(m) be the second derivative of -m**6/15 - 19*m**5/30 - 11*m**4/12 + 4*m**3/3 + 39*m**2/2 + 3*m - 8. Let l(h) be the first derivative of f(h). Fa