**3/3 + f**2 + 54. Let v(x) be the third derivative of r(x). Factor v(n).
4*(n - 7)**2*(n + 3)
Let v(b) be the second derivative of -1/4*b**4 - 19/2*b**2 + 8*b + 0 - 1/30*b**5 + 0*b**3. Let j(h) be the first derivative of v(h). Factor j(r).
-2*r*(r + 3)
Let i(x) be the first derivative of -6*x**3/19 - 286*x**2/19 + 128*x/19 - 3301. Solve i(v) = 0.
-32, 2/9
Let g(b) = -3. Let d(m) be the third derivative of m**5/15 + 5*m**4/3 + 2*m**3 - 33*m**2. Let l(p) = -d(p) - 4*g(p). Factor l(x).
-4*x*(x + 10)
Let t(v) be the third derivative of -v**7/21 - 41*v**6/48 - 23*v**5/12 - 15*v**4/16 + 624*v**2. Let t(j) = 0. Calculate j.
-9, -1, -1/4, 0
Let p(b) be the second derivative of b**7/350 - b**6/100 - b**5/100 + b**4/20 + 51*b**2/2 + b + 13. Let n(l) be the first derivative of p(l). Solve n(k) = 0.
-1, 0, 1, 2
Let 71*a**2 - 55*a**4 + 5*a**5 + 77*a**2 + 14*a**2 - 7*a**2 + 260 - 70*a**3 + 500*a - 75*a**3 = 0. Calculate a.
-2, -1, 2, 13
Suppose -3*m = -h - 20 + 80, -5*m + 236 = 3*h. Let o be (h/(-126))/((-4)/14). Factor -1/9*t**o - 1/3 - 4/9*t.
-(t + 1)*(t + 3)/9
Let t = 85875 - 85872. Determine h so that -46/21*h - 22/21 - 26/21*h**2 - 2/21*h**t = 0.
-11, -1
Let c(h) = -16*h + 10*h - 25 + 5 - 22*h + 3*h**2. Let g be c(10). Factor g + 0*k**2 - 2/7*k**3 + 2/7*k.
-2*k*(k - 1)*(k + 1)/7
Let x be (589/(-186))/(1216/(-256)). Factor x*f**3 + 14/3*f - 10/3*f**2 - 2.
2*(f - 3)*(f - 1)**2/3
Let a(v) = 2*v - 5. Let n be a(4). Suppose -r + n*w = 6, -2*r + 4*w = -0*w + 6. Let -r*t**3 - 6 - 9*t + 5*t**3 + t**3 = 0. Calculate t.
-1, 2
Let m(r) be the first derivative of r**4/3 - 22*r**3/27 + 4*r**2/9 + 2*r/9 + 127. What is l in m(l) = 0?
-1/6, 1
Let n(z) be the second derivative of -52*z**3 - 72*z**2 - z - 5/2*z**5 + 31 - 55/3*z**4. Factor n(m).
-2*(m + 2)*(5*m + 6)**2
Let z(p) be the third derivative of p**8/4032 + 23*p**7/252 + 529*p**6/36 + 7*p**5/15 - 137*p**2. Let j(g) be the third derivative of z(g). Solve j(c) = 0.
-46
Let c = 6/31 + 32/155. Let i be ((-1644)/72)/(-137) + (-51)/(-18). Factor 0*p**2 + c*p**5 + 2/5*p + 0 - 4/5*p**i + 0*p**4.
2*p*(p - 1)**2*(p + 1)**2/5
Let 320/13*k + 68/13*k**2 - 4800/13 + 2/13*k**3 = 0. Calculate k.
-20, 6
What is z in 144/7*z - 36/7*z**3 + 32 - 4/7*z**4 - 40/7*z**2 = 0?
-7, -2, 2
Suppose -3*v - v = -3*p - 917, 0 = -2*p + 5*v - 609. Let a be (-307 - p) + (1 - (-1 - 0)). Factor -6/7 + 3/7*h**3 + 15/7*h - 12/7*h**a.
3*(h - 2)*(h - 1)**2/7
Solve 304/3*p + 100 + 4/3*p**2 = 0.
-75, -1
Solve 2/9*a**4 + 368/3*a**2 - 380/9*a**3 + 1870/9 + 3356/9*a = 0 for a.
-1, 5, 187
Let b(f) be the third derivative of 1/5*f**5 - 8*f**3 + 159*f**2 + 0 + 63/8*f**4 + 0*f. Factor b(g).
3*(g + 16)*(4*g - 1)
Suppose 270*l + 120*l - 1508 = -364*l. Solve -2/13*v**l + 4/13*v + 0 = 0.
0, 2
Let j be (38/(-8) - 155/(-31))/(-9*10/(-1080)). Factor 0*s**2 + 0 + 5/6*s**4 + 0*s + 155/6*s**j.
5*s**3*(s + 31)/6
What is b in 76/7*b + 2/7*b**5 + 194/7*b**2 + 46/7*b**4 + 162/7*b**3 + 0 = 0?
-19, -2, -1, 0
Suppose 3*k + 3 = 3*w - 4*w, -2*w - 6 = k. Suppose -4*z + 20 = 0, 5*z = p - k*p + 23. Factor -15*l - 9*l**p - 5*l**3 + 11*l**3 - 21*l**4 + 27*l**2 + 9*l**5 + 3.
3*(l - 1)**3*(l + 1)*(3*l - 1)
Suppose -3*v - 4 = -5*b, -4*v - 5*b + 51 = -2. Let d(i) = 2*i**2 - 12*i + 1. Let g be d(v). Factor -6 + g*j + j**2 + 2 - 6*j**2 - 6.
-5*(j - 2)*(j - 1)
Let i(p) = -p**2 - 101*p - 1791. Let s be i(-78). Determine f, given that 0*f + 92/3*f**4 + 16/3*f**2 + 28/3*f**5 + 80/3*f**s + 0 = 0.
-2, -1, -2/7, 0
Let g(b) = -9*b - 62. Let q be -8 - 3 - 5/(-5). Let t be g(q). Factor -2*u**3 - 30*u**2 - 34*u - 26 - 48*u + t*u.
-2*(u + 1)**2*(u + 13)
Let w = -139 - -140. Find u such that -4*u - 4*u**3 - u - 3*u + 13*u**5 + w + 18*u**2 - 19*u**4 - u**5 = 0.
-1, 1/4, 1/3, 1
Factor 2461*k - 2*k**2 - 3700 - 11721*k - 23*k**2.
-5*(k + 370)*(5*k + 2)
Let k(p) be the third derivative of p**6/90 + 49*p**5/30 + 103*p**3/6 - 50*p**2 - 1. Let h(v) be the first derivative of k(v). Suppose h(u) = 0. What is u?
-49, 0
Let u(y) = 36*y**3 + 189*y**2 + 411*y. Let c(a) = -7*a**3 - 38*a**2 - 82*a. Let h = 70 - 81. Let r(b) = h*c(b) - 2*u(b). Suppose r(z) = 0. What is z?
-4, 0
Let m = -148929 + 148931. Factor 3 + m*g + 1/4*g**2.
(g + 2)*(g + 6)/4
Suppose -826 = -12*n + 254. Find z, given that n*z**2 + 170*z - 60*z**3 - 3*z**3 - 339*z + 181*z - 72 + 12*z**4 = 0.
-3/4, 2
Suppose -87*o = -163 - 438 + 166. Let f(z) be the first derivative of 3/5*z**4 + 15 + 3/5*z**2 + 3/25*z**o + z**3 + 0*z. Factor f(b).
3*b*(b + 1)**2*(b + 2)/5
Let c = -163210 + 163214. Find f, given that 3*f**3 - 6*f**2 + 0 + 4*f - 1/2*f**c = 0.
0, 2
Factor 16/9*z - 8/3 + 10/9*z**2 - 2/9*z**3.
-2*(z - 6)*(z - 1)*(z + 2)/9
Let r be 6/4*8*3/3. Suppose 3*t = 3*d + r, t + 0*t - 8 = 5*d. Solve -5*x**5 - 2*x**5 - x**2 + 17*x**4 - 24*x**3 + t*x**5 + 14*x**2 - 2*x = 0 for x.
0, 1/4, 1, 2
Let t(o) = 3*o**3 - 2*o**2 - o. Let c(a) = 13*a**3 + 10*a**2 + 17*a + 8. Suppose 102*q - 121*q = -57. Let j(b) = q*t(b) - c(b). Factor j(m).
-4*(m + 1)**2*(m + 2)
Suppose 6*d - 4*z = -6 + 60, 0 = -5*d + 2*z + 45. Factor -63/8*o**3 - 3/2*o - 147/8*o**4 + d*o**2 + 0.
-3*o*(o + 1)*(7*o - 2)**2/8
Let b(i) = 3*i**3 - 61*i**2 + 41*i + 26. Let o(g) = g**3 - g**2 - g - 2. Let t(f) = -2*b(f) - 6*o(f). Suppose t(m) = 0. What is m?
-1/3, 1, 10
Let l(m) be the third derivative of -m**10/90720 + m**9/11340 - m**8/6720 - 15*m**4/2 + m**2 + 53*m. Let x(p) be the second derivative of l(p). Factor x(v).
-v**3*(v - 3)*(v - 1)/3
Factor -67660 + 67916 - 70*h**2 - 83*h - 2*h**3 - 101*h.
-2*(h - 1)*(h + 4)*(h + 32)
Let r(p) be the second derivative of 0*p**2 + 1/28*p**4 - 106*p + 0 + 17/14*p**3. Factor r(t).
3*t*(t + 17)/7
Let k be 5/(-100)*4 + 93/15. Factor -12*t + k*t - 6 + 2 - 2*t**2.
-2*(t + 1)*(t + 2)
Suppose 3*b - 2*t = 16, -6 = -2*b + t + 6. Suppose -200 = -32*u + 312. Suppose -b*m + 132*m**2 - 62*m**2 - 71*m**2 - u = 0. What is m?
-4
Let w = 1427522/624547 - -2/89221. Factor -w - 4/7*b + 2/7*b**2.
2*(b - 4)*(b + 2)/7
Let r be (-459)/(-51) + (-4 - 1). Let b(g) be the first derivative of -5*g**3 - 1/2*g**r - 18 - 12*g**2 + 16*g. Factor b(u).
-(u + 4)**2*(2*u - 1)
Let t(h) = -6*h**2 + 285*h - 3192. Let q = 188 + -192. Let r(f) = 3*f**2 - 142*f + 1595. Let l(x) = q*t(x) - 9*r(x). Solve l(u) = 0.
23
Let n(k) be the first derivative of -k**6/420 + k**5/70 - k**4/28 + k**3/21 + 159*k**2/2 + 96. Let z(f) be the second derivative of n(f). Factor z(h).
-2*(h - 1)**3/7
Let c be 510/18 - (-2)/(-1 - 5). Let i be (c/8 - 4)/((-1)/4). Solve 10*d + d**i - 9 + 7*d**4 - 14*d**3 + 5*d + d**2 + 0*d**5 - d**5 = 0 for d.
-1, 1, 3
Let o = 2059/657 + -172/73. Let -o*b**2 + 1/9*b**4 + 0 + 2/3*b + 0*b**3 = 0. What is b?
-3, 0, 1, 2
Let u(b) be the third derivative of -b**5/135 + 416*b**4/27 + 1112*b**3/9 - 265*b**2. Determine x so that u(x) = 0.
-2, 834
Let v(o) be the third derivative of -o**6/24 - 5*o**5/6 + 5*o**4 - 521*o**2. Factor v(b).
-5*b*(b - 2)*(b + 12)
Let q(h) be the first derivative of h**5/10 + 55*h**4/4 + 173*h**3/2 - 315*h**2/2 - 8871. Factor q(u).
u*(u - 1)*(u + 6)*(u + 105)/2
Let z(q) be the first derivative of -2*q**3/21 + 10*q**2/7 + 192*q/7 - 1117. Factor z(o).
-2*(o - 16)*(o + 6)/7
Let h(y) be the third derivative of y**6/720 + 5*y**5/9 + 397*y**4/144 + 11*y**3/2 + 4*y**2 + 19. Factor h(r).
(r + 1)**2*(r + 198)/6
Let k = -26 + 266. Factor 3061*v - 20480 + 1019*v + 5*v**3 - k*v**2 - 240*v.
5*(v - 16)**3
Let f = 34 - 23. Suppose f = 7*o - 3. Let -2 + 1 - x**4 + 1 + 4*x**o = 0. Calculate x.
-2, 0, 2
Factor 131769*b**2 + 628*b**3 - 222*b**3 + 683*b**3 + 0*b**4 + 3*b**4 + 1881279*b + 3433404*b.
3*b*(b + 121)**3
Suppose -290 = 21*p - 38. Let m be 3*(-56)/126*p/8. Let -4/3 + 26/3*h - 22/3*h**m = 0. What is h?
2/11, 1
Suppose -3*w = 14 + 19. Let l = w - -14. Solve -2*q**3 - 14*q**2 + 3*q**4 + 0*q**3 + 7*q**3 + l*q + 3*q**2 = 0 for q.
-3, 0, 1/3, 1
Let b be -88 + 70 - (-3 - (22 - 5)). Factor 20/7*i + 2/7*i**b + 6.
2*(i + 3)*(i + 7)/7
Let j(p) = -p**4 + 1041*p**3 - 1007*p**2. Let q(c) = -c**4 + 2069*c**3 - 2013*c**2. Let x(t) = 5*j(t) - 3*q(t). Suppose x(b) = 0. What is b?
-502, 0, 1
Let h be (-312)/(-1950) + 872/800. Factor 0*u + 7/4*u**4 + 0 + 1/4*u**5 + h*u**2 + 11/4*u**3.
u**2*(u + 1)**2*(u + 5)/4
Suppose -301 = 930*n - 2161. Solve 0 + 74/17*m - 2/17*m**n = 0 for m.
0, 37
Let z = 1225/27 + -4873/10