868 + 446. Factor 0 + 0*r**2 - 24/7*r**i + 128/7*r + 4/7*r**4.
4*r*(r - 4)**2*(r + 2)/7
Let a(p) be the second derivative of 3*p**5/20 - 19*p**4/4 - 44*p**3 - 138*p**2 + 1338*p. What is r in a(r) = 0?
-2, 23
Let j = 822 - 818. Suppose -j*d = x - 21, -4*x = -5 + 1. Factor -7/2*s**4 + 0*s + 15/2*s**3 - 9/2*s**2 + 1/2*s**d + 0.
s**2*(s - 3)**2*(s - 1)/2
Let b be (287/(-1476) + 0)*(-2 - (-24)/14). Let h(p) be the second derivative of 1/20*p**5 + b*p**4 + 0 + 8*p + 0*p**2 + 0*p**3 - 1/45*p**6. Factor h(g).
-g**2*(g - 2)*(2*g + 1)/3
Let y(j) be the third derivative of -j**5/8 - 49*j**4/32 - 29*j**3/4 - 62*j**2 - 10. Factor y(x).
-3*(x + 2)*(10*x + 29)/4
Suppose -15 = -x - g, 0 = -5*x + 7*g - 9*g + 60. Let w be (x/(-50))/(-2 + (-70)/(-36)). Determine z, given that -w - 21/5*z - 3/5*z**2 = 0.
-6, -1
Factor 64*l**3 + 60*l**2 - 3*l - 712966*l**5 + 19*l**4 + 712967*l**5 + 3*l.
l**2*(l + 2)**2*(l + 15)
Let b(a) = 61*a**2 - 6*a. Let h be b(4). Suppose 0 = -4*p - 4*p + h. Solve -18*x**3 - 36*x**2 + 53*x**4 - 30*x - 9 + 63*x**4 - p*x**4 = 0 for x.
-3, -1
Factor -1052/3*b + 4/3*b**3 - 512/3*b**2 + 520.
4*(b - 130)*(b - 1)*(b + 3)/3
Let j(m) be the first derivative of 2*m**6/21 - 4*m**5 + 61*m**4 - 8644*m**3/21 + 8944*m**2/7 - 10816*m/7 + 1115. What is z in j(z) = 0?
1, 4, 13
Suppose 0 = -4*u - 3*r + 2, -40 + 22 = -5*u + 4*r. Let d(m) be the second derivative of 1/36*m**4 + 0*m**3 + 0*m**u + 0 + 1/60*m**5 - 17*m. Factor d(o).
o**2*(o + 1)/3
Suppose -9/4*r - 3/2*r**2 + 27/2 + 1/4*r**3 = 0. Calculate r.
-3, 3, 6
Suppose -79*s + 84*s = 330. Suppose -35*l = -68*l + s. What is k in 0*k**4 + 12/17*k**l + 0 + 2/17*k**5 + 0*k - 14/17*k**3 = 0?
-3, 0, 1, 2
Let p be (-1456320)/768*1/(-30) + 3/24. Determine n, given that 1805/3 + p*n + 5/3*n**2 = 0.
-19
Let -92/11*r + 0 - 6/11*r**3 - 278/11*r**2 = 0. Calculate r.
-46, -1/3, 0
Let a be (-8)/(-64)*10*36/15. Let z(v) be the second derivative of 12*v**2 - 1/6*v**4 + 0 + 1/10*v**5 - 8/3*v**a + 17*v. Factor z(y).
2*(y - 2)**2*(y + 3)
Factor 3/4*m**2 + 279/4*m + 69.
3*(m + 1)*(m + 92)/4
Suppose 5*i - 10*i = -20. Determine k so that -10*k**2 + 10*k**2 + k**2 + i*k**2 - 5 = 0.
-1, 1
Let g be 8/(-12) - 2/(12/(-10)). Let n(m) = -231 + 230 - m**3 - m**2 + 2*m**3. Let l(s) = s**3 - s**2 + 2*s - 2. Let w(o) = g*l(o) - 2*n(o). Factor w(v).
-v*(v - 2)*(v + 1)
Let h be (56 - (65 - 2))/(((-105)/6)/5). Factor -2/9*q**h - 2/3 + 8/9*q.
-2*(q - 3)*(q - 1)/9
Let w(m) = 5*m**2 - 24*m + 10. Let l be w(5). Factor 3*p - l*p**3 + 34*p**3 - 4*p**3 + 0*p + 2*p - 5*p**4 - 15*p**2.
-5*p*(p - 1)**3
Factor -595*o**3 + 664638*o**2 + 195*o**4 - 21*o - 664218*o**2 + o.
5*o*(o - 2)*(o - 1)*(39*o - 2)
Let v = -4 + 7. Let y be 4/(-22) - (25 - 8142/253). Determine o so that -88*o**2 + 150*o - 25*o**5 - 103*o**v - 25 - y*o**2 + 135*o**4 - 15 - 22*o**3 = 0.
-1, 2/5, 1, 4
Let k(h) be the third derivative of 18*h**2 + 0 - 1/90*h**5 + 0*h + 0*h**3 + 7/36*h**4. Find i, given that k(i) = 0.
0, 7
Let p(l) be the first derivative of -15*l - 6*l**2 - 47*l**3 + 48*l**3 + 6 + 0*l + 22. Factor p(n).
3*(n - 5)*(n + 1)
Let w be 90/91 + (-120)/(-780). Solve -6/7 - 2/7*u**2 + w*u = 0.
1, 3
Let b(z) be the first derivative of -9/5*z**5 + 12*z**3 + 12*z**2 + 0*z - 3/2*z**4 + 51. Factor b(x).
-3*x*(x - 2)*(x + 2)*(3*x + 2)
Let x(i) be the first derivative of i**4/7 + 452*i**3/7 + 8160*i**2 - 115600*i/7 - 2263. Factor x(z).
4*(z - 1)*(z + 170)**2/7
Let x(r) be the first derivative of -1/10*r**6 + 0*r**2 - 36/25*r**5 + 3 - 63/20*r**4 - 2*r**3 + 0*r. Factor x(y).
-3*y**2*(y + 1)**2*(y + 10)/5
Let u be (-29706)/(-78) - 16/(-104). Factor -u*w**2 - 20*w - 12*w**3 + 2 + 2 + 5*w**3 + 404*w**2.
-(w - 2)*(w - 1)*(7*w - 2)
Let m(f) be the third derivative of -f**5/10 - 1127*f**4/24 - 935*f**3/6 - 41*f**2 - 7*f. Factor m(q).
-(q + 187)*(6*q + 5)
What is c in 328/19*c**4 - 18/19*c**5 + 0 - 120/19*c - 918/19*c**3 + 728/19*c**2 = 0?
0, 2/9, 1, 2, 15
Let q(d) be the third derivative of 0 + 5/48*d**4 - 1/2*d**3 + 0*d - 1/120*d**5 - 15*d**2. Let q(u) = 0. Calculate u.
2, 3
Suppose 361*h = -515*h + 4380. Find y, given that 3/5*y**3 - 3/5*y**h + 0 + 3*y**2 - 3*y**4 + 0*y = 0.
-5, -1, 0, 1
Let o be (14/(-12) + 1)/((30/(-9))/5). Let r(t) be the first derivative of o*t**5 - t**3 - 1/2*t**2 - 3/16*t**4 - 19 + 0*t. Suppose r(b) = 0. What is b?
-1, -2/5, 0, 2
Suppose 0 = 974*m - 3212*m - 2332 + 6808. Factor 2/17*z**m + 0 + 4/17*z.
2*z*(z + 2)/17
Let c(d) = 4*d**3 + 4*d**2 + 11*d + 2. Let w(m) = -2*m**3 - 3*m + 2*m + 3*m + 3*m**3. Let b(n) = -c(n) + 3*w(n). Solve b(x) = 0 for x.
-2, -1
Let m be (-1680)/(-820) + (16 - 5922/369). Factor -2/5*l**m + 12/5 - 2/5*l.
-2*(l - 2)*(l + 3)/5
Suppose 0 = 3*k - 0*i - 3*i - 36, -5*k + 4*i = -52. Factor 0 + 3/2*r**k - 3*r**3 + 3/2*r**2 + 0*r.
3*r**2*(r - 1)**2/2
Let k be ((-5)/20*12)/((-3)/(-2)). Let x be (0 + 15/(-9))*k/5. Suppose x*t**4 + 16/3*t - 4/3*t**3 - 2*t**2 - 8/3 = 0. Calculate t.
-2, 1, 2
Let h(n) be the first derivative of -3*n**5/10 - 7*n**4/4 + 2*n**3 + 55*n + 89. Let a(x) be the first derivative of h(x). Find g such that a(g) = 0.
-4, 0, 1/2
Let h(m) = 8*m + 19. Let g be (-5)/3*(-234)/65. Let a be h(g). Factor -5*q**2 - 4 + 57*q - a*q + 4.
-5*q*(q + 2)
Let z = -644 + 392. Let n = z - -255. Find v, given that -13/6*v**4 - 1/3*v - n*v**3 + 10/3*v**5 + 13/6*v**2 + 0 = 0.
-1, 0, 1/4, 2/5, 1
Let m(b) = b**2 + 210*b + 7897. Let o be m(-49). What is g in o*g - 1/5*g**2 - 39/5 = 0?
1, 39
Factor -3/7*k**3 + 1/7*k**5 + 6/7*k - k**2 + 0 + 3/7*k**4.
k*(k - 1)**2*(k + 2)*(k + 3)/7
Let j(z) be the first derivative of z**8/840 + 3*z**7/350 - z**6/120 - 93*z**2/2 - 99. Let l(r) be the second derivative of j(r). Factor l(p).
p**3*(p + 5)*(2*p - 1)/5
Let t(v) = -v**4 + v**2. Suppose -5*q + 2*d = 0, 2 = 5*q - 5*d + 17. Let w(a) = -3*a**4 + 3*a**3 + 15*a**2 - 15*a. Let h(u) = q*t(u) - w(u). Factor h(o).
o*(o - 5)*(o - 1)*(o + 3)
Let q = -139 + 141. What is t in 422*t**2 - 425*t**q - t**3 - 1 - 4*t + 0*t + t = 0?
-1
Suppose 30*m - 128 = 22*m. Let h be 51*(7/14 + (-1)/(-6)). Factor h*i + m + 45*i - 91*i - 4*i**2.
-4*(i - 1)*(i + 4)
Let x(a) = 6*a**3 - 636*a**2 + 2094*a - 2000. Let t(f) = -f**3 + 128*f**2 - 419*f + 400. Let h(p) = -14*t(p) - 3*x(p). Let h(k) = 0. What is k?
2, 25
Factor -6*q**2 + 76*q - 30*q - 138*q + 30*q**2 + 84.
4*(2*q - 3)*(3*q - 7)
Let a(t) be the first derivative of 4*t**5/15 - 5*t**4 + 16*t**3/3 + 56*t**2/3 - 3402. Suppose a(r) = 0. Calculate r.
-1, 0, 2, 14
Determine g, given that -156*g**3 - 240*g + 436*g**2 - 169*g**3 + 88*g**3 + 30*g**4 + 29*g**3 - 18 = 0.
-1/15, 1, 3
Let h(s) be the second derivative of -s**4/18 + 32*s**3/27 - 20*s**2/9 - 1104*s. Factor h(x).
-2*(x - 10)*(3*x - 2)/9
Let l be (12/(-10))/(1/((-40)/12)). Determine b so that 8*b**3 - b**4 - 16*b**2 - 11*b**2 - 5*b**3 + 4*b**l - 27*b = 0.
-3, -1, 0, 3
What is m in -124/3*m**3 + 226/3*m**2 - 14/3*m**4 - 64/3*m - 32/3 + 8/3*m**5 = 0?
-4, -1/4, 1, 4
Factor -11*a**5 + 373*a**3 + 8*a**5 - 361*a**3 - 10*a**4 - 14*a + 4*a**2 + 5*a**5 + 6.
2*(a - 3)*(a - 1)**3*(a + 1)
Let x(u) = 161*u + 322. Let p be x(-2). Determine h, given that 3/4*h**5 + 0*h - 3/4*h**4 + p - 3*h**3 + 3*h**2 = 0.
-2, 0, 1, 2
Let w be (2691/(-230))/39 - (-12)/40. Factor -8/11*k**3 + w*k + 0*k**2 + 2/11*k**4 + 0.
2*k**3*(k - 4)/11
Let w be 9/((-54)/30) - -8. Let 0*p**4 + 0*p**4 + 119839*p**3 + 3*p**5 - 119851*p**w = 0. What is p?
-2, 0, 2
Let o(c) = c - 3. Let t be o(6). Suppose 0 = 2*p - 4*b + 6, -3*p + t = -4*b + 2*b. Factor -188*s**2 - 2*s**4 - s**4 - 3*s + p*s**3 + 191*s**2.
-3*s*(s - 1)**2*(s + 1)
Suppose 1/2*a**4 + 3*a**3 - 36 - 61/2*a**2 + 63*a = 0. What is a?
-12, 1, 2, 3
Suppose 17*o = -0*o + 51. Factor 157*w**2 + 19*w**3 - 382*w**2 + 46*w**o + 235*w + 5*w**4 - 80.
5*(w - 1)**3*(w + 16)
Suppose 84 = 4*h + 2*s + 3*s, -3*s + 105 = 5*h. Factor 15 + 0*z - h*z + 2 - 3*z**2 + 7.
-3*(z - 1)*(z + 8)
Let y = 98/45 + 2/9. Let w(v) be the second derivative of -7/10*v**6 + 17/4*v**4 + 0 - 3*v**3 - 36*v + 0*v**2 + y*v**5. Factor w(x).
-3*x*(x - 3)*(x + 1)*(7*x - 2)
Let k = -30383746001/14011210 - -1964783/905. Let f = k - -2/7741. Factor f*z**2 - 5/2*z**3 + 5/2*z - 5/2*z**4 + 0.
-5*z*(z - 1)*(z + 1)**2/2
Suppose -87/2*v**4 + 285/2*v**3 + 3300*v**2 + 16875/2 - 9/4*v**5 - 59625/4*v = 0. What is v?
-15, 2/3, 5
Let i(o) be the secon