354. Let x(n) = i*p(n) - 5*z(n). Factor x(a).
-4*(a - 5)*(a - 1)*(a + 1)
Suppose 0 = 4*a + b + 3*b - 820, 2*b + 620 = 3*a. Factor -a*d + 9*d**2 + 7*d**2 - 4*d**4 + 222*d - 4*d**3.
-4*d*(d - 2)*(d + 1)*(d + 2)
Let b = 4 + 0. Let 96*s**2 + 1161 + 32*s**3 - 1097 + 0*s**2 + b*s**4 + 128*s = 0. Calculate s.
-2
Let g(p) = p**2 + 4*p + 5. Let s(i) = -i + 229 - i**2 - 117 - 113. Suppose 2*n + 2 = 0, -b + 7 = -n - 4*n. Let q(k) = b*s(k) + g(k). Factor q(l).
-(l - 3)*(l + 1)
Let z(v) = -22*v + 66. Let t be z(8). Let i be (-4 - 913/t) + 3/15. Find g such that -3/2*g**3 - 9/2*g**2 + i + 3/2*g = 0.
-3, -1, 1
Determine n so that 2700 + 7189*n**2 + 20691*n + 2695*n**2 - 1792 + 8984 - 4*n**3 - 911*n = 0.
-1, 2473
Suppose -3*u - 4*v - 26 = -4*u, 0 = -2*v - 4. Let k = -14 + u. Factor -5*y + 0*y + k + y - y**4 - 3*y**2 + y**3 + 3*y**3.
-(y - 2)**2*(y - 1)*(y + 1)
Let g(t) be the first derivative of t**5/150 + 4*t**4/15 - 17*t**3/15 + 127*t**2/2 + 232. Let i(o) be the second derivative of g(o). Factor i(x).
2*(x - 1)*(x + 17)/5
Let j be ((-166)/20 + 8)*((-3840)/(-36))/(-16). Factor 2/3*z**3 + 3888 + 36*z**j + 648*z.
2*(z + 18)**3/3
Suppose -3*o - 172 = 5*w - 4*o, -3*o = -3*w - 96. Let f be ((-10)/w)/(56/147). Factor f*d**2 + 0 + 0*d.
3*d**2/4
Let f(u) = -21*u + 24. Let d(w) = 4*w - 5. Let s(b) = -11*d(b) - 2*f(b). Let g be s(2). Factor -3*z**3 + 0*z**g - z**3 - 12*z**4 - 4*z**5 + 4*z**4.
-4*z**3*(z + 1)**2
Let b be ((-6)/(-44)*344/(-258))/(42/(-858)). Factor b - 24/7*s - 2/7*s**2.
-2*(s - 1)*(s + 13)/7
Let d(j) be the third derivative of -j**6/40 - 291*j**5/20 - 2769*j**4 - 70574*j**3 + 119*j**2 - 2*j - 18. Find n, given that d(n) = 0.
-142, -7
Let g(q) be the second derivative of 2/3*q**4 - 1 - 5*q + 0*q**2 - 1/3*q**3 - 1/21*q**7 + 4/15*q**6 - 3/5*q**5. Factor g(t).
-2*t*(t - 1)**4
Find m such that -2/15*m**4 - 46/15*m**2 + 0 - 28/15*m**3 + 44/3*m = 0.
-11, -5, 0, 2
Suppose 2*u = -3*i + 9, 0 = 2*i + 38 - 36. Let x(a) be the third derivative of -1/54*a**4 - 15*a**2 + 0 + 0*a - 1/540*a**u + 0*a**3 + 1/90*a**5. Factor x(b).
-2*b*(b - 2)*(b - 1)/9
Solve -18373*z + 18177*z + 1530 - 164 - 46 - 4*z**2 = 0.
-55, 6
Let f(x) be the first derivative of -2*x**3/27 + 193*x**2/9 + 1846. What is r in f(r) = 0?
0, 193
Factor -6223*n**2 + 106*n**2 - 1922*n**3 - 28 - 876*n - 858*n**2.
-(2*n + 7)*(31*n + 2)**2
Let t(y) = 3*y**2 + 3*y. Let n(h) = 40*h**2 + 444*h + 144. Let g(o) = n(o) + 12*t(o). Solve g(q) = 0 for q.
-6, -6/19
Let m(q) be the first derivative of -1/6*q**3 + 1/2*q**5 - 2*q + 70 + 1/12*q**6 - 2*q**2 + 7/8*q**4. Suppose m(d) = 0. What is d?
-2, -1, 1
Let y(s) be the third derivative of -s**5/90 + 91*s**4/36 - 62*s**2 - 4*s + 3. Factor y(m).
-2*m*(m - 91)/3
Let k(i) be the first derivative of 10*i**6 + 363*i**5/5 + 249*i**4/2 + 8*i**3 - 1643. Determine x so that k(x) = 0.
-4, -2, -1/20, 0
Let k be 13/(-7) + 134/67. Let c(m) be the second derivative of 4*m + k*m**3 - 9/7*m**2 + 5/42*m**4 + 1/70*m**5 + 0. Find i, given that c(i) = 0.
-3, 1
Let d(v) be the second derivative of v**5/50 - 11*v**4/10 - 148*v**3/15 - 795*v - 7. Factor d(w).
2*w*(w - 37)*(w + 4)/5
Let p(b) be the first derivative of 200 - 168*b + 668/3*b**3 - 4*b**5 + 46*b**2 + 97*b**4. Solve p(s) = 0.
-1, 2/5, 21
What is s in -391/2*s**3 + 1/4*s**4 + 152097/4*s**2 + 38416 + 76636*s = 0?
-1, 392
Let v(c) be the third derivative of -2*c**5/45 - 1235*c**4/36 + 103*c**3/3 - 3915*c**2. Suppose v(n) = 0. Calculate n.
-309, 1/4
Let v(s) be the third derivative of -s**7/350 + s**6/25 + 17*s**5/100 - 33*s**4/10 - 126*s**3/5 + 5227*s**2 - s. Determine m so that v(m) = 0.
-3, -2, 6, 7
Let s(l) = -34*l**2 + 12*l + 22. Let m(v) = -240*v**2 + 86*v + 154. Let a(w) = 6*m(w) - 44*s(w). What is y in a(y) = 0?
-11/14, 1
Let -19/5*v - 2/5 + 24/5*v**4 + 19/5*v**3 - 22/5*v**2 = 0. Calculate v.
-1, -2/3, -1/8, 1
Let k(y) be the first derivative of y**6/540 + y**5/54 + y**4/36 - y**3/3 - 3*y**2/2 + 12*y - 45. Let t(c) be the second derivative of k(c). Factor t(v).
2*(v - 1)*(v + 3)**2/9
Let n(v) = 610*v + 46972. Let q be n(-77). Factor -1/5*c**q + 1/5*c**3 + 1/5*c**4 - 1/5*c + 0.
c*(c - 1)*(c + 1)**2/5
Let g(u) be the third derivative of -u**6/24 + 51*u**5/4 - 125*u**4 + 1490*u**3/3 - 1364*u**2. Determine x so that g(x) = 0.
2, 149
Factor -342*g**2 + 143*g**3 + 18*g**4 + 0 + 361/2*g + 1/2*g**5.
g*(g - 1)**2*(g + 19)**2/2
Let j(x) be the second derivative of x**6/30 - 63*x**5/20 + 341*x**4/4 - 961*x**3/6 + 251*x. Factor j(h).
h*(h - 31)**2*(h - 1)
Suppose 0 = 21*n + 4*n - 75. Let p(o) be the second derivative of 0 + 1/60*o**6 + 1/24*o**5 + 0*o**2 + 0*o**n + 30*o + 1/36*o**4. Factor p(u).
u**2*(u + 1)*(3*u + 2)/6
Let p be (-3960)/110*(-2)/24. Find a, given that 49/8*a**4 + 1/2*a + 0 - 55/8*a**2 + 91/4*a**p = 0.
-4, 0, 1/7
Let p be (-91)/(-26) - 3*(-2)/(-4). Let v be (288/3456)/(-3*p/(-9)). Let -1/2 + 1/2*j - v*j**2 = 0. What is j?
2
Suppose -4*r = m + 9, m - 27 = -4*m + 4*r. Suppose -p = -2*j + 6, 4*j = m*p + 17 - 7. Determine z so that -8*z**p - 10*z**2 + 2*z**3 + 22*z**2 = 0.
-2, 0
Determine s so that -35/2 - 137/6*s + 1/6*s**3 - 31/6*s**2 = 0.
-3, -1, 35
Let c(j) be the first derivative of 22*j**3/9 - 37*j**2/3 - 60*j - 1698. Factor c(w).
2*(w - 5)*(11*w + 18)/3
Let z(t) be the third derivative of t**6/600 + 5*t**5/3 - 1003*t**4/120 + 251*t**3/15 - 4180*t**2. Suppose z(h) = 0. Calculate h.
-502, 1
Let k(z) = -z**4 - 42*z**3 + z**2 - z - 1. Let n(f) = -7*f**4 + 90*f**3 + 271*f**2 - 526*f - 4. Let v(b) = 4*k(b) - n(b). Factor v(c).
3*c*(c - 87)*(c - 1)*(c + 2)
Let k(c) be the first derivative of c**4/120 - c**3/5 + 8*c**2/5 + 153*c - 172. Let m(o) be the first derivative of k(o). Factor m(v).
(v - 8)*(v - 4)/10
Let f(n) be the second derivative of 1/20*n**5 - 1/4*n**4 + 0*n**2 + 1/3*n**3 + 53 + 2*n. Find k, given that f(k) = 0.
0, 1, 2
Let j(q) be the first derivative of -q**4/18 + 2*q**3/9 - 77*q + 121. Let k(r) be the first derivative of j(r). Suppose k(o) = 0. What is o?
0, 2
Let p(v) be the third derivative of -v**5/90 + 487*v**4/72 - 27*v**3/2 - 7500*v**2. Factor p(y).
-(y - 243)*(2*y - 1)/3
Determine h so that 98/3*h - 26*h**2 - 40/3 - 2/3*h**4 + 22/3*h**3 = 0.
1, 4, 5
Factor 32/15*x**2 + 2/15*x**3 - 40/3 - 34/3*x.
2*(x - 5)*(x + 1)*(x + 20)/15
Let l be -1*((-10)/5)/2. Let q(d) = 3*d**3. Let g be q(l). Let c(r) = r**2 + r. Let t(z) = 2*z**2 + 5*z - 1. Let y(k) = g*c(k) - t(k). Factor y(v).
(v - 1)**2
Let f(u) be the second derivative of 4/27*u**3 - 1/18*u**5 + 2/135*u**6 + 1/189*u**7 - 5/27*u**4 + 0 + 8/9*u**2 + 170*u. Find i, given that f(i) = 0.
-2, -1, 1, 2
Let s(t) be the third derivative of -t**7/840 - t**6/12 + t**4/6 - 2*t**3/3 - 139*t**2 + 1. Let r(f) be the second derivative of s(f). Factor r(b).
-3*b*(b + 20)
Let 0*c + 0*c**2 - 1/11*c**4 + 0 - 1/11*c**3 = 0. What is c?
-1, 0
Let r(d) = d + 17. Let g = -29 - -19. Let n be r(g). Determine q so that 19*q**2 - 24*q + 7 + 9 - 2*q**3 - n*q**2 = 0.
2
Let 304/3*x**4 + 32/3*x - 52/3*x**5 - 140*x**3 + 136/3*x**2 + 0 = 0. Calculate x.
-2/13, 0, 1, 4
Let x = 35167 - 70327/2. Solve 2 - 13/4*c**3 + x*c - 7/4*c**4 - 1/4*c**2 - 1/4*c**5 = 0.
-4, -2, -1, 1
Suppose -12*o = g - 7*o + 21, -4*o = -2*g + 28. Suppose 0 = -14*v + 13*v - k + 5, v = -g*k + 14. Factor -3/2*q**v + 3*q + 0 - 3/2*q**3.
-3*q*(q - 1)*(q + 2)/2
Let g(d) be the first derivative of -d**4/14 - 26*d**3/21 + d**2/7 + 26*d/7 + 1025. Solve g(o) = 0.
-13, -1, 1
Let h(k) be the second derivative of 0*k**2 - 1/2*k**4 + 1/30*k**5 + 25*k + 1 + 0*k**3. Find b, given that h(b) = 0.
0, 9
Let z(i) be the first derivative of i**4/7 - 216*i**2/7 + 1728*i/7 - 3705. Factor z(p).
4*(p - 6)**2*(p + 12)/7
Let g(y) = 8*y**3 - 210*y**2 - 811*y - 275. Let l(z) = 7*z**3 - 204*z**2 - 808*z - 276. Let a(d) = -12*g(d) + 13*l(d). What is k in a(k) = 0?
-18, -8, -2/5
Let h be 60/27 + 246/(-1107). Let z(j) be the second derivative of 0*j**h + 0 - 5/6*j**4 + 2/3*j**3 - 22*j. Factor z(w).
-2*w*(5*w - 2)
Let 1800 + 76*j - 669*j - 67*j + 3537*j**3 - 18298*j**2 - 2624*j**2 - 210*j**4 + 660*j**3 = 0. What is j?
-3/10, 2/7, 10
Suppose -120 + 13264*l - 26536*l + 13322*l + 5*l**2 = 0. What is l?
-12, 2
Let a = 152 + -149. Factor -7*c**4 - 4*c**4 - 2*c**3 - 13*c**a + c**4 + 5*c**4.
-5*c**3*(c + 3)
Let s(j) be the third derivative of j**7/420 - j**6/60 - 