552.
-3*v*(v + 2)**2*(7*v + 2)
Let p(a) = 19*a**3 - 2*a**2 + 22*a - 9. Let u(d) = 8*d**3 - 2*d**2 + 10*d - 4. Let w(b) = 2*p(b) - 5*u(b). Factor w(l).
-2*(l - 1)**3
Let x(l) be the first derivative of -2*l**3/27 - 107*l**2/9 - 340*l/3 + 6307. Factor x(u).
-2*(u + 5)*(u + 102)/9
Let g = 32297 - 32295. Let -6/5*t**4 + 3/5*t**3 + 6/5*t**g - 3/5*t**5 + 0 + 0*t = 0. Calculate t.
-2, -1, 0, 1
Let v be (300/(-78))/(12 + 4320/(-351)). Factor 51/2*u + 1/2*u**3 + 27/2*u**2 + v.
(u + 1)**2*(u + 25)/2
Suppose 559530 = 9*d - 318330. Factor z**2 - 5*z + 13*z - d + 97531.
(z - 1)*(z + 9)
Let t(a) = 63*a + 7. Let x be t(1). Factor -235*c + 107*c**2 - 106*c**2 + 23*c**3 - 3*c**4 + 80 + x.
-(c - 5)**2*(c + 3)*(3*c - 2)
Find r such that 182 - 35*r**2 - 33*r**2 + 817*r + 91*r**2 - 32*r**2 = 0.
-2/9, 91
Let q = 278372/5 + -55674. Let v = 1/10 - -3/10. Let -q*b**2 - v*b**3 + 8/5*b + 8/5 = 0. What is b?
-2, -1, 2
Let 243/7*m + 6/7*m**5 + 0 + 69*m**4 - 69*m**2 - 249/7*m**3 = 0. What is m?
-81, -1, 0, 1/2, 1
Let l(a) be the third derivative of a**6/120 + 17*a**5/60 - 3*a**4/4 + a**2 + 853*a. Find d such that l(d) = 0.
-18, 0, 1
Solve 49/3*x**2 - 59/3*x + 10/3 = 0 for x.
10/49, 1
Suppose -4*n + 1148 = 1088. Suppose -n*p - 4 + 34 = 0. Solve 0 - 12/5*v - 2/5*v**3 - 2*v**p = 0.
-3, -2, 0
Let v = 5242824/13 + -403290. Factor 0 + 28/13*q - v*q**2 + 24/13*q**3 + 2/13*q**4.
2*q*(q - 1)**2*(q + 14)/13
Let c(a) be the third derivative of a**7/945 + 13*a**6/180 + 59*a**5/270 - 185*a**4/36 - a**2 - 52*a - 5. Find i such that c(i) = 0.
-37, -5, 0, 3
Factor -17*w**2 + 13*w**2 + 149702 + 5*w**2 + 190565 + 1054494 - 2362*w.
(w - 1181)**2
Let a(l) be the third derivative of -l**7/28 + l**6/48 + l**5/6 + 27*l**2. Let a(s) = 0. Calculate s.
-1, 0, 4/3
Let n be (-2)/3 + 82/30*5. Let o = -14/3 + n. Determine x so that o - 10/3*x + 1/3*x**2 = 0.
5
Suppose 0 = 2*c + 2*d - 8, 0 = -c - 3*d + 7*d + 4. Suppose 0 = -2*x - g + 133, -3*g + 204 = 3*x - 0*g. Factor -35 - 30 - 4*o - c*o**2 + x.
-4*o*(o + 1)
Let x be (5 - -2) + (3 - 9). Factor -x - 31*c - 3*c**2 + 25*c + 10.
-3*(c - 1)*(c + 3)
Let g(w) be the third derivative of w**6/120 + w**5/6 + 4*w**4/3 + 16*w**3/3 + 2*w**2 - 145*w. Let g(j) = 0. Calculate j.
-4, -2
Suppose 0 = l - 0*l - 99. Factor 31*y + 33 + 4*y**2 + 0*y**2 + 31 - l*y.
4*(y - 16)*(y - 1)
Suppose 6*r + 0*r = 42. Suppose 3*k + r*l - 3*l - 7 = 0, -2*k + 12 = -l. Factor -5 - 4*s**2 + k + 4.
-4*(s - 1)*(s + 1)
Let h(c) be the first derivative of 4/3*c**3 - 1/2*c**2 - 1/4*c**4 - 6*c + 94. Find v such that h(v) = 0.
-1, 2, 3
Let n(c) be the first derivative of 2*c**3/51 + 294*c**2/17 - 1266. Factor n(m).
2*m*(m + 294)/17
Let c(h) be the second derivative of -h**6/24 + 3*h**5/4 + 5*h**4/24 - 15*h**3/2 + 161*h**2 - 30*h. Let z(x) be the first derivative of c(x). Factor z(b).
-5*(b - 9)*(b - 1)*(b + 1)
Let l = 615 + -611. Let b be (-1)/l - 860/(-560). Solve -3/7*m**3 - 6/7*m + 0 + b*m**2 = 0.
0, 1, 2
Determine x, given that 0 + 2/9*x**4 + 34/9*x**2 + 16/9*x + 20/9*x**3 = 0.
-8, -1, 0
Let r(o) be the first derivative of o**6/30 - 4*o**5/15 + 5*o**4/6 - 4*o**3/3 + 5*o**2/2 + 2*o - 83. Let d(f) be the second derivative of r(f). Factor d(y).
4*(y - 2)*(y - 1)**2
Let r = -157/2762 + 172836/283105. Let y = -5/246 + r. Factor 2/15*n**2 + 2/5 - y*n.
2*(n - 3)*(n - 1)/15
Let u(q) be the second derivative of q**6/30 + 153*q**5/20 - 53*q**4/4 - 773*q**3/6 - 231*q**2 - 3438*q. Factor u(r).
(r - 3)*(r + 1)**2*(r + 154)
Let w = -703295 + 7736247/11. Factor -14/11*r**2 + 0 + 0*r + w*r**3.
2*r**2*(r - 7)/11
Let b(j) be the first derivative of 5*j**5 + 0*j - 15*j**3 + 0*j**2 + 15/4*j**4 + 211 + 5/6*j**6. Factor b(p).
5*p**2*(p - 1)*(p + 3)**2
Let k = 464 + -459. Factor -1106*y + 1126*y - 4*y**k + 8*y**2 - 16*y**3 - 15*y**4 - y**4 + 8.
-4*(y - 1)*(y + 1)**3*(y + 2)
Factor -18780*k - 5*k**4 + 14796*k**2 - 330*k**3 + 5366 + 8854 - 9901*k**2.
-5*(k - 6)**2*(k - 1)*(k + 79)
Let t = 3/1207 + 1162/18105. Let v(r) be the first derivative of t*r**6 - 10 + 28/5*r**2 + 76/15*r**3 + 16/25*r**5 + 16/5*r + 5/2*r**4. Factor v(f).
2*(f + 1)**2*(f + 2)**3/5
Factor -1/3*u**2 - 10/3 + 7/3*u.
-(u - 5)*(u - 2)/3
Let r(s) be the third derivative of 28/27*s**3 + 37/54*s**5 + 71/54*s**4 + 0 - 74*s**2 + 5/216*s**6 + 0*s. Let r(t) = 0. Calculate t.
-14, -2/5
Let m(h) be the second derivative of 3*h**5/100 - 556*h**4/15 - 742*h**3/15 + 6479*h. Factor m(y).
y*(y - 742)*(3*y + 2)/5
Let t(s) be the third derivative of 5/24*s**4 + 3/80*s**5 + 1/6*s**3 - 2*s + 0 - 69*s**2. Find n, given that t(n) = 0.
-2, -2/9
Factor 331 + 125 - 5272*n + n**2 + 5207*n.
(n - 57)*(n - 8)
Let j(a) = -1552*a + 9336. Let c be j(6). Let r(z) be the first derivative of 4*z + c - 5*z**2 - 1/2*z**4 + 8/3*z**3. Suppose r(u) = 0. Calculate u.
1, 2
Let t(v) be the second derivative of 171*v**4/16 - 175*v**3/8 + 3*v**2/2 + 205*v. Factor t(j).
3*(j - 1)*(171*j - 4)/4
Let d be (0 + (-57)/9)/(1/3). Let l = d + 21. Factor 9*q**2 - 22 - 4*q**2 + 0*q**l + 2.
5*(q - 2)*(q + 2)
Suppose 0*u = -4*u + 12. Let f be 66/(-429) - (-7)/((-91)/(-4344)). Suppose -329 - 5*k**2 + 5*k - 3*k**3 - 2*k**u + f = 0. Calculate k.
-1, 1
Let i = -59 - -63. Suppose i*k = -0*k + 52. Let -k*y**3 + 168*y**2 - 3 - 35*y**3 + 93*y + 8 + 7 = 0. What is y?
-1/4, 4
Let d = -396 + 2076. Let w = -1677 + d. Solve 3/2*f**3 - 3/2*f**2 - w*f + 0 = 0.
-1, 0, 2
Suppose 3*s - 4*v + 5*v = 738, 3*v = s - 236. Let z be (-42)/s*(-30)/6. Factor 3/7*d**3 - 9/7*d**2 + 0 + z*d.
3*d*(d - 2)*(d - 1)/7
Let q(t) = -5*t**3 - 48*t**2 + 390*t + 968. Suppose 5*c + 5 = 0, 5*f = -5*c + 11 + 9. Let h(i) = -i**3 - i**2 - i. Let l(b) = f*q(b) - 30*h(b). Factor l(m).
5*(m - 22)**2*(m + 2)
Let t(i) = 4*i**2 + 130*i + 68. Let g be t(-32). Factor 0*b + 1/2*b**5 - b**3 + 0 - 1/2*b**g + 0*b**2.
b**3*(b - 2)*(b + 1)/2
Let g(y) be the first derivative of -11 + 0*y**2 + 0*y**4 + 0*y + 2/5*y**5 + 0*y**3 + 1/3*y**6. Solve g(d) = 0.
-1, 0
Let d(m) = 5*m**2 - 2*m - 1. Let c be d(1). Factor 8*f**c - 20*f**2 + 17*f**2 + 5*f**3.
5*f**2*(f + 1)
Let i = -508758 + 508760. Factor 27/4 - 9/2*k + 3/4*k**i.
3*(k - 3)**2/4
Suppose -348*z**2 - 2605 - 110*z - 420 + 347*z**2 = 0. Calculate z.
-55
Let o = 147 - 83. Suppose 5*w - o = z, 3*w - z - 17 - 23 = 0. Factor w - 3*v**3 - 22*v + 6*v**2 + 12*v**2 - 2*v - 3*v.
-3*(v - 4)*(v - 1)**2
Let y be (-60670)/45 + (-203)/(-63) + -3. Let b = -4043/3 - y. Solve b*s**2 - 1/3*s - 2/3 = 0 for s.
-1, 2
Let c(x) be the first derivative of -x**6/105 + x**5/35 - x**4/42 - 58*x + 24. Let v(p) be the first derivative of c(p). Factor v(w).
-2*w**2*(w - 1)**2/7
Factor 1520/3 + 402*i - 104*i**2 + 2/3*i**3.
2*(i - 152)*(i - 5)*(i + 1)/3
Let u(c) = -2*c - 26. Let p be u(8). Let a be 2 + 9/2*(-28)/p. Suppose -h**2 - 11 + 3 - a*h + 2 = 0. What is h?
-3, -2
Solve 1/2*u**3 + 0 - 68*u - 15*u**2 = 0.
-4, 0, 34
Let r = 2728 - 2723. Let n(b) be the second derivative of -11/42*b**4 - 1/70*b**r + 18*b + 0 + 36/7*b**2 - 8/7*b**3. Let n(s) = 0. Calculate s.
-6, 1
Factor 4/3*a**3 - 168 + 16/3*a**2 - 236/3*a.
4*(a - 7)*(a + 2)*(a + 9)/3
Let u(i) be the third derivative of i**7/210 + i**6/18 + i**5/15 - 4*i**4/3 + 55*i**3/6 + 2*i**2 + 3*i. Let l(c) be the first derivative of u(c). Factor l(g).
4*(g - 1)*(g + 2)*(g + 4)
Let d(w) be the first derivative of 9*w**5/5 + 1555*w**4/4 + 66209*w**3/3 - 82911*w**2/2 + 15138*w - 3305. Factor d(r).
(r - 1)*(r + 87)**2*(9*r - 2)
Let h(m) be the second derivative of 0 + 0*m**2 - 1/20*m**5 + 1/20*m**4 - 45*m + 1/210*m**7 + 2/15*m**3 - 1/50*m**6. Find y, given that h(y) = 0.
-1, 0, 1, 4
Determine q, given that -q**5 - 46910*q**2 + 21760*q - 4*q**5 - 50701 + 96941 - 21755*q**3 + 670*q**4 = 0.
-2, -1, 1, 68
Suppose 1 + 5/4*g + 1/4*g**2 = 0. What is g?
-4, -1
Let r(b) = -3*b**3 + 0*b**3 + b**3 + 62*b**2 + 8*b - 28*b - 21*b**2. Let m be r(20). Factor 1/2*o**2 + o**3 + m - o - 1/2*o**4.
-o*(o - 2)*(o - 1)*(o + 1)/2
Determine f, given that f**4 + 2247*f**3 - 2311*f**3 + 120*f**2 + 0*f**4 + f**4 = 0.
0, 2, 30
Suppose 89*g - 6 = 86*g - 5*s, 2*g - 5*s = 4. Factor -8*w - 36/5 - 4/5*w**g.
-4*(w + 1)*(w + 9)/5
Let y be ((-4)/10)/((-3)/15). Let i = 121 + -355/3. Factor -8/3*f + i + 2/3*f**y.
2*(f - 2)**2/3
Factor 436*p + 155*p + 27*p**2 - 11*p**2 - 8*p**2 - 5*p**2.
3*p*(p + 197)
Let r(y) be the third derivative of 9/8*y*