t v(w) be the third derivative of f(w). Factor v(b).
4*(b - 1)*(b + 26)
Suppose 0 = 2*u + 4*o + 6, -u + 8 = -2*u - 3*o. Suppose 3*i = -2*f + u, -3*i - 2*i = 5*f - 15. Factor 0*r + 5*r - 5*r**2 - 10*r + 4*r**f.
-r*(r + 5)
Suppose 5*c - 10 = 0, 49 + 25 = -3*x - 5*c. Let m be x/7 - (-82)/13. Factor -16/13 + m*j**2 + 4/13*j**3 - 18/13*j.
2*(j - 1)*(j + 8)*(2*j + 1)/13
Factor -32*d**2 - 2*d**3 - 4301 - 96*d + 4301.
-2*d*(d + 4)*(d + 12)
Suppose 0 = -13*y + 5*y + 96. Let f be (-3 + 0)/(-8 + 78/y). Factor 8*q**f - 26/5*q + 4/5 - 18/5*q**3.
-2*(q - 1)**2*(9*q - 2)/5
Factor 0 + 22*d**2 - 2/7*d**3 + 316/7*d.
-2*d*(d - 79)*(d + 2)/7
Let i(d) be the first derivative of -3905/12*d**3 - 25/4*d**5 + 435/2*d**2 - 725/8*d**4 - 45*d + 246. Find z, given that i(z) = 0.
-6, 1/5
Let y(v) be the third derivative of 0*v - 132*v**2 - 21/2*v**4 + 0 + 49/30*v**5 + 27*v**3. Solve y(c) = 0 for c.
9/7
Let v(q) be the second derivative of -q**4/6 - 611*q**3/9 + 68*q**2 + 1655*q. Solve v(a) = 0 for a.
-204, 1/3
Let o(m) be the second derivative of 2*m**6/15 - 7*m**5/5 + 14*m**4/3 - 16*m**3/3 - 5856*m. Let o(u) = 0. What is u?
0, 1, 2, 4
Suppose 99*q - 102*q + 15 = 0. Suppose q*a - 17 = -3*v + 88, a = -v + 21. Factor 14*t**3 - 2*t**3 + 3*t**5 + 24*t**4 + 9*t**4 - a*t**4.
3*t**3*(t + 2)**2
Let k(v) be the first derivative of 5*v**6/6 + 31*v**5 + 345*v**4/2 + 1060*v**3/3 + 260*v**2 + 1071. Suppose k(c) = 0. What is c?
-26, -2, -1, 0
Let z = -37 + 40. Suppose -b - 5*p = 0, -17*p + 15*p = b - z. Factor 1/10 + 9/10*y**4 + 8/5*y**3 + 7/5*y**2 + 3/5*y + 1/5*y**b.
(y + 1)**4*(2*y + 1)/10
Factor -543*w + 121 + 106*w**2 - 93*w + 262 + 3*w**3 + 44*w**2 + 265.
3*(w - 2)**2*(w + 54)
Suppose 1/8*p**4 + 48 + 23/8*p**3 + 68*p + 91/4*p**2 = 0. Calculate p.
-8, -6, -1
Let u(g) = 2*g**2 + 16*g + 2. Let s(w) = -3*w**2 - 18*w - 3. Let l = 72 - 67. Let b(v) = l*s(v) + 6*u(v). Factor b(d).
-3*(d - 1)**2
Let v(x) be the third derivative of -x**5/15 - 131*x**4/2 + 788*x**3/3 - 413*x**2 - x. Suppose v(z) = 0. Calculate z.
-394, 1
Let v be (-262)/(-16) + (-100)/(-160). Let b(m) be the second derivative of 4/9*m**3 - 1/6*m**4 + 0 + v*m - 1/3*m**2. Factor b(d).
-2*(d - 1)*(3*d - 1)/3
Let m(s) = s**2 - 2580*s + 559870. Let v(a) = 21*a**2 - 56754*a + 12317139. Let l(b) = 45*m(b) - 2*v(b). Suppose l(q) = 0. What is q?
432
Let z = -2 - -1. Let b(a) = -a**3 + a**2 + a + 1. Let t(r) = 3223*r**2 - 6450*r**2 - 2 + 3227*r**2 - 6*r + 4*r**3. Let w(l) = z*t(l) - 2*b(l). Factor w(m).
-2*m*(m - 1)*(m + 2)
Let n(h) = -19*h**4 - 680*h**3 - 1414*h**2 + 10*h - 10. Let a(k) = 6*k**4 + 228*k**3 + 471*k**2 - 3*k + 3. Let c(s) = -10*a(s) - 3*n(s). Factor c(r).
-3*r**2*(r + 2)*(r + 78)
Let y(r) be the second derivative of -5*r**6 - 103*r**5/2 - 2041*r**4/18 + 293*r**3/9 - 10*r**2/3 + 4663*r - 1. Find w, given that y(w) = 0.
-5, -2, 1/15
Suppose -48/7*n - 72/7 + 30/7*n**3 - 22/7*n**4 + 118/7*n**2 - 6/7*n**5 = 0. Calculate n.
-3, -2/3, 1, 2
Let l(d) be the first derivative of 17 + 20/3*d**3 + 4*d**2 + 8*d. Let t(f) = 7*f**2 + 3*f + 3. Let y(v) = 3*l(v) - 8*t(v). Factor y(j).
4*j**2
Determine u, given that -54/7 + 279/7*u**2 - 2505/7*u = 0.
-2/93, 9
Let v(o) be the third derivative of 49*o**2 + 1 + 0*o + 0*o**3 + 2*o**4 - 1/10*o**6 - 4/15*o**5 + 2/105*o**7. Factor v(y).
4*y*(y - 3)*(y - 2)*(y + 2)
Let v(m) be the third derivative of 7821*m**5/80 + 439*m**4/8 + m**3/2 + 1547*m**2 + 2. Let v(s) = 0. Calculate s.
-2/9, -2/869
Let l(t) be the third derivative of -t**8/896 - t**7/80 - 13*t**6/320 - t**5/160 + 7*t**4/32 + t**3/2 + t**2 - 222*t. Determine i, given that l(i) = 0.
-4, -2, -1, 1
Let u(z) be the third derivative of -z**8/336 + 2*z**7/35 - z**6/120 - 67*z**5/10 + 329*z**4/6 - 196*z**3 + 3*z**2 - 53*z. Factor u(s).
-(s - 7)**2*(s - 2)**2*(s + 6)
Suppose 0 = 213*q - 81*q + 207 - 735. What is y in -2/3*y**3 + 0*y**2 + 0*y + 0 + y**q - 1/3*y**5 = 0?
0, 1, 2
Let w(u) = -33*u**3 - u**2 + 3*u - 2. Let a be w(2). Let s = a - -2113/8. Solve 1/2*f - 3/8 - s*f**2 = 0.
1, 3
Suppose 160*k = 158*k + 22. Let -74 + 5*a**3 - 4*a**2 - k*a**2 + 15*a - 65 + 134 = 0. Calculate a.
1
Let x be ((-5084)/(-155) - -18) + 7*2/7. Factor 3/5*o**2 + x*o - 267/5.
3*(o - 1)*(o + 89)/5
Suppose -156 + 62 = -86*o + 78. Let f(q) be the third derivative of 0*q + 1/480*q**6 + 1/3*q**3 + 5*q**o - 1/120*q**5 - 1/24*q**4 + 0. Factor f(m).
(m - 2)**2*(m + 2)/4
Let r(w) be the second derivative of w**7/336 + 7*w**6/120 + 57*w**5/160 + 19*w**4/24 + 2*w**3/3 - 3931*w. Suppose r(i) = 0. Calculate i.
-8, -4, -1, 0
Let k(l) = l**2 - 20*l + 68. Let d(q) = 2*q + 10. Let o be d(3). Let w be k(o). Factor -7*i**2 + 53*i**4 + 7*i**2 - 3*i**5 - 44*i**w.
-3*i**4*(i - 3)
Let z be (-6)/2*-4*2/8. Factor -40*y + 22 + 205*y**2 - 22 - 26*y**z + y**3.
-5*y*(y - 8)*(5*y - 1)
Let z = -1/9181 + -8538/5903383. Let j = 2563/5787 - z. Factor -2/3*d - j - 2/9*d**2.
-2*(d + 1)*(d + 2)/9
Let w(n) be the second derivative of 3*n**5/20 - 7*n**4/2 - 55*n**3/2 + 102*n**2 + 339*n. Factor w(t).
3*(t - 17)*(t - 1)*(t + 4)
Let v(z) = 2*z**4 - 2*z**3 - 39*z**2 + 3*z - 6. Let h(k) = -2*k**4 + 4*k**3 + 42*k**2 - 4*k + 8. Let b(j) = 3*h(j) + 4*v(j). Factor b(g).
2*g**2*(g - 3)*(g + 5)
Let g(z) = -9*z. Let a be g(-1). Solve -w**4 + 0*w**2 + a*w**3 - 16*w**2 - 1 - 4*w - 2*w**2 + 25 = 0.
-1, 2, 6
Let h be 11 + (4 - (3 + 5 - 0)). Suppose -5*f + h*f = 8. Determine u so that 9/7*u**3 - 6/7*u**2 + 0*u - 3/7*u**f + 0 = 0.
0, 1, 2
Let q = 106643/39 - 2734. Let t = q - -16/13. Factor 0 + 0*s**3 - t*s**4 + 0*s**2 + 0*s.
-5*s**4/3
Let m be (-1016)/(-252) - 138/4347. Let r(w) be the third derivative of -2*w**3 - 7/6*w**m + 0*w + 0 - 1/3*w**5 - 25*w**2 - 1/30*w**6. Factor r(y).
-4*(y + 1)**2*(y + 3)
Solve 0 - 65/2*d + 1/4*d**2 = 0.
0, 130
Find r such that 0 + 2/11*r**4 - 32*r**3 + 0*r**2 + 0*r = 0.
0, 176
Suppose 10 + 381*u + 188*u - 2485*u**2 + 2710*u**2 - 114*u = 0. What is u?
-2, -1/45
Let f(w) be the second derivative of w**6/75 - 3*w**4/5 - 32*w**3/15 - 3*w**2 - 3747*w. Factor f(x).
2*(x - 5)*(x + 1)**2*(x + 3)/5
Let v be 2/15 + -10 + 2136/180. Let q(r) = r**2 + 11*r - 16. Let f(s) = -6*s + 8. Let h(p) = v*q(p) + 5*f(p). What is b in h(b) = 0?
2
Let g(s) = -54*s - 51. Let p be g(-1). Suppose 5*r**4 + 22 - 5*r**4 - 24*r**3 - p*r**4 - 33*r**2 + 15 + 24*r - 1 = 0. What is r?
-6, -2, -1, 1
Let a be (-3 + 10)/(2/(9 + -1)). Let l be 8/a + 60/35. Solve 30/7*s**l + 6/7*s**3 + 6*s + 18/7 = 0.
-3, -1
Let j be -8 + 666/84 + 38*(-3)/(-28). Let h(b) be the second derivative of -1/70*b**5 - j*b + 0*b**2 + 1/21*b**4 + 0 - 1/21*b**3. Let h(s) = 0. What is s?
0, 1
Let g = -136702/5 + 27342. Factor g*d + 0 + 2*d**2 + 2/5*d**3.
2*d*(d + 1)*(d + 4)/5
Let o be 8*(7 - (-189)/(-28)). Find g, given that -4*g**3 - g**3 + 0*g**3 + 606 - 1500*g + 4394 + 156*g**2 - 6*g**o = 0.
10
Let c be 123 + -129 - (-668)/22*-4. Let y = -8989/77 - c. Factor 0 - 9/7*l**2 - 9*l**3 - y*l**4 + 6/7*l - 27/7*l**5.
-3*l*(l + 1)**3*(9*l - 2)/7
Factor -91*j**4 + 73*j**4 + 2*j**5 - 20*j**3 + 9369*j**2 - 9369*j**2.
2*j**3*(j - 10)*(j + 1)
Let k(u) be the second derivative of -49*u**5/80 + 119*u**4/6 + 139*u**3/6 + 10*u**2 + 2*u - 1000. Suppose k(h) = 0. Calculate h.
-2/7, 20
Factor 0*s + 0 - 25/2*s**3 - 1/2*s**4 + 0*s**2.
-s**3*(s + 25)/2
Let i(l) be the third derivative of -5*l**7/42 + 99*l**6/4 + 1197*l**5/20 + 45*l**4 - 6*l**2 + 49*l. Factor i(b).
-b*(b - 120)*(5*b + 3)**2
Let s = 161948/145 + -32262/29. Factor 1/5*t**3 + 14/5*t**2 + 7*t + s.
(t + 1)*(t + 2)*(t + 11)/5
Suppose 21 = -28*n + 35*n. Factor 8*a + 0*a**n - 6*a**3 - 49*a**2 + 49*a**2 + 2*a**4.
2*a*(a - 2)**2*(a + 1)
Suppose -2 = 6*y - 176. Solve -50*w**2 + 12*w + 23*w**2 + y*w**2 = 0.
-6, 0
Let o(g) = g**2 + 5*g + 9. Let t be o(-3). Find s such that 60*s - 136 + 28*s**2 + 334 - 162 + 4*s**t = 0.
-3, -1
Let c(p) = 3*p - 41. Let g be (-8)/(48/(-30)) - -10. Let i be c(g). Factor 0*x**3 + 0*x - 1/5 - 1/5*x**i + 2/5*x**2.
-(x - 1)**2*(x + 1)**2/5
What is s in -4*s**2 - 225/4 + 3/2*s**3 + 1/4*s**4 - 75/2*s = 0?
-5, -3, 5
Factor -500*b - 84*b**2 - 12*b**3 - 20*b**3 - 12*b - 960 - 82*b**3 + 110*b**3.
-4*(b + 4)*(b + 5)*(b + 12)
Let p(f) = 5*f + 5. Let y(u) = u + 1. Let a(b) = 2*p(b) - 9*y(b). Let k be a(-1). Factor -3*r**4 + k*r**2 - r**5 - 3*r**5 + 4*r - 8*r**2 + 11*r**4.
-4*r*(r - 1)**3*(r + 1)
Let s(y) =