r + 260, -i + 305 = -8*r + 3*r. Let u be (-2)/(-8) - r/16. Factor 2*w**3 - 9*w + 4*w**3 - 2 - 2*w**2 + 3*w + 146*w**u - 142*w**4.
2*(w - 1)*(w + 1)**2*(2*w + 1)
Let o(k) be the third derivative of 7/10*k**4 - 1/150*k**5 + 2*k + 105*k**2 + 43/15*k**3 + 0. Solve o(p) = 0 for p.
-1, 43
Let u = -11/19655 + 176917/39310. Solve 0 + 21/2*f**2 + 2*f + 39/2*f**3 + 31/2*f**4 + u*f**5 = 0.
-1, -4/9, 0
Let y(i) be the second derivative of -i**4/12 - i**3/6 - 137*i. Let q(h) = -h**3 + 3*h**2 - 7*h. Let c(r) = 3*q(r) - 21*y(r). Factor c(n).
-3*n**2*(n - 10)
Let i(f) = 308*f**2 + 48484*f + 48464. Let a(y) = 48*y**2 + 7459*y + 7456. Let v(x) = 32*a(x) - 5*i(x). Factor v(z).
-4*(z + 1)*(z + 932)
Let h(g) = 8*g**3 + 184*g**2 + 3*g + 72. Let d be h(-23). Let k(l) be the second derivative of 0*l**d + 9 + l**4 + 3*l + 0*l**2 + 1/5*l**5. Factor k(p).
4*p**2*(p + 3)
Suppose -4*f + 5711 = -2*r + 1487, -5*r = 0. Factor -153*a - 994 + f + 7*a**2 - 66*a.
(a - 31)*(7*a - 2)
Suppose -3*m + 21 + 18 = 3*h, -h = 4*m - 16. What is z in -5*z**3 + h*z**2 + 62*z**2 + 36*z**2 = 0?
0, 22
Solve 7*w + 0*w**2 - 187 + 4*w**2 - 5*w**2 + 197 + 2*w**2 = 0.
-5, -2
Let u(d) be the first derivative of d**3/3 - 22*d**2 + 363*d - 1986. Suppose u(x) = 0. What is x?
11, 33
Suppose -74*h + 73*h = -5, h - 77 = -3*q. Suppose -1105*f = -1113*f + q. Find y such that 4/17*y - 2/17*y**f + 6/17*y**4 - 6/17*y**2 + 0 - 2/17*y**5 = 0.
-1, 0, 1, 2
Let o(n) be the third derivative of -3*n**8/448 - 17*n**7/70 + 19*n**6/32 - 3*n**5/10 + 7059*n**2. Solve o(g) = 0.
-24, 0, 1/3, 1
Let u be (539/(-14))/(-11)*12/(-7). Let z be 6 + u*(-2)/(-4). Factor 0*h**2 + 0 + 0*h + 6/7*h**4 - 6/7*h**z.
6*h**3*(h - 1)/7
Let k(t) be the first derivative of -5*t**4/8 + 65*t**3/2 - 715*t**2/4 + 525*t/2 - 189. Find a, given that k(a) = 0.
1, 3, 35
Let w(c) be the third derivative of c**2 + 1/30*c**5 - c**4 + 0 - 13/3*c**3 + 39*c. Factor w(z).
2*(z - 13)*(z + 1)
Factor 255/2*i + 1/4*i**2 + 65025/4.
(i + 255)**2/4
Let a(v) be the third derivative of -v**8/672 + v**7/21 + 43*v**6/240 + 11*v**5/60 - 1115*v**2. Determine f, given that a(f) = 0.
-1, 0, 22
Let n(j) be the first derivative of 1/4*j**4 - 10*j**3 + 68 + 0*j + 0*j**2. What is b in n(b) = 0?
0, 30
Let g = 2/22251 + -67513/8455380. Let l = g - -787/3420. Factor 0 + 8/9*r - l*r**2.
-2*r*(r - 4)/9
Let -9/8*m**3 - 1971/8*m - 811/4*m**2 - 179/4 = 0. What is m?
-179, -1, -2/9
Let m be 1584/66 + (-572)/24. Let u(h) be the third derivative of m*h**4 + 2/15*h**5 + 0*h**3 - 27*h**2 + 0 + 0*h. Suppose u(l) = 0. What is l?
-1/2, 0
Let g(x) be the second derivative of 24*x**2 + 1/5*x**5 - 2*x + 7/3*x**4 + 32/3*x**3 - 51. Factor g(m).
4*(m + 2)**2*(m + 3)
Let b(h) be the first derivative of h**6/6 - 27*h**5/5 - 151*h**4/4 - 281*h**3/3 - 111*h**2 - 64*h + 2808. Let b(d) = 0. Calculate d.
-2, -1, 32
Let -265*s**2 + 1539*s - 2219 + 9509 + 65*s**2 - 41*s**3 + 26*s**3 + 3*s**4 - 169*s**2 = 0. What is s?
-10, -3, 9
Let s(t) = -t**2 - t + 24. Let z be s(4). Factor -6 + 26*u - 19*u - 2*u**2 - 2*u**2 - z*u**2 - 26*u.
-(u + 2)*(8*u + 3)
Factor 54/11*m - 46/11 - 8/11*m**2.
-2*(m - 1)*(4*m - 23)/11
Suppose 62*s + 49 - 81 = 154. Let w(f) be the third derivative of 3/8*f**s + 9*f**2 + 7/240*f**5 - 5/32*f**4 + 0*f + 0 - 1/480*f**6. Factor w(g).
-(g - 3)**2*(g - 1)/4
Let u = -302206 + 302209. What is d in 0*d + 0 + 16/13*d**u + 14/13*d**2 + 2/13*d**4 = 0?
-7, -1, 0
Determine z, given that 315*z - 188*z**2 - 4*z**3 - 1509 + 489*z + 897 = 0.
-51, 1, 3
Let w(u) = -2*u**2 + 5*u**2 + 0*u**2 - 6*u + 13 - 2*u**2. Let n be w(3). Determine o, given that -n*o - 8*o + 13*o - o**3 = 0.
-1, 0, 1
Let q(z) be the third derivative of 0 - 56*z**2 - 1/160*z**6 - 51/32*z**4 + 13/80*z**5 + 63/8*z**3 + 0*z. Find c such that q(c) = 0.
3, 7
Let l(m) be the third derivative of -1/4*m**4 - 3/16*m**5 + 1/20*m**6 + 2 + 2/35*m**7 - 1/8*m**3 - 3*m**2 + 0*m. Solve l(w) = 0.
-1, -1/4, 1
Suppose 2*b = -4*a, -5*b - 5*a + 21 = 36. Let i(q) = -q. Let f(v) = -3*v**2 - 21*v + 42. Let x(j) = b*i(j) + f(j). Factor x(w).
-3*(w - 2)*(w + 7)
Let o(p) be the first derivative of 4*p**5/55 + 5*p**4/22 - 6*p**3/11 - 32*p**2/11 - 40*p/11 + 192. What is y in o(y) = 0?
-2, -1, 5/2
Let y(c) be the second derivative of c**7/105 - 17*c**6/75 + 46*c**5/25 - 86*c**4/15 + 32*c**3/5 + c - 7. Determine j, given that y(j) = 0.
0, 1, 2, 6, 8
Let x(a) = -2*a**2 - 2*a + 580. Let q(i) = -i**2 + 292. Let y(w) = 9*q(w) - 4*x(w). Factor y(z).
-(z - 22)*(z + 14)
Factor 56*z + 53*z + 2*z**2 + 51*z - 54 - 163*z.
(z - 6)*(2*z + 9)
Let d = -2121/20 - -15567/140. Let u(o) be the first derivative of 54/7*o**2 + 0*o + 4/35*o**5 + 23 + 9/7*o**4 + d*o**3. Let u(n) = 0. Calculate n.
-3, 0
What is q in -2 - 9*q**2 - 132*q**4 + 434424*q + 399*q**3 + 14 - 434952*q = 0?
-1, 1/44, 2
Determine f, given that -2/3*f**4 + 214/3*f**3 + 602*f**2 + 3890/3*f + 2300/3 = 0.
-5, -2, -1, 115
Let x = -21347/3 + 7117. Let j(z) be the first derivative of 4*z + 26 - x*z**3 + 0*z**2. Factor j(g).
-4*(g - 1)*(g + 1)
Let u(n) be the second derivative of -n**5/80 + 18*n**4 - 10368*n**3 + 2985984*n**2 - 69*n - 8. Factor u(z).
-(z - 288)**3/4
Let q(f) be the first derivative of -67 + 550/3*f**3 + 35/4*f**4 - 150*f + 365/2*f**2. Solve q(y) = 0 for y.
-15, -1, 2/7
Find g such that 2392/11 - 2/11*g**2 - 2390/11*g = 0.
-1196, 1
Let j(y) be the third derivative of -y**8/56 - 5*y**7/28 - y**6/40 + 5*y**5/8 + 3*y**4/8 + 9*y**2 + 461. Solve j(c) = 0 for c.
-6, -1, -1/4, 0, 1
Let a be (5 - 6)/(-1)*-1 + 5. Determine n, given that -117*n - 7*n**4 + 31*n**2 - 151*n**2 + n**4 + 5*n**a - 21*n**3 + 17*n = 0.
-10, -1, 0
Let u(c) = -c**3 - 65*c**2 - 1417*c - 1377. Let v(b) = 3*b**3 + 135*b**2 + 2836*b + 2756. Let d(z) = 13*u(z) + 6*v(z). Determine h, given that d(h) = 0.
-13, -1, 21
Let g(a) be the first derivative of -5*a**6/6 - 11*a**5 - 175*a**4/4 - 125*a**3/3 + 88. Solve g(s) = 0 for s.
-5, -1, 0
Let v = -891 + 325. Let k = -563 - v. Factor 0*p**4 + 9/4*p - 3*p**k - 3/2 + 3/2*p**2 + 3/4*p**5.
3*(p - 1)**3*(p + 1)*(p + 2)/4
Let s be (-2)/(-10) - 4/(-30). Let u be (-48)/32*(-20)/3 + 18/(-3). Factor 0 + 0*t - t**3 + 2/3*t**2 + s*t**u.
t**2*(t - 2)*(t - 1)/3
Let y be 1 + (-20)/35 - (-66)/(-154). Let b(o) be the first derivative of 2/15*o**5 + y*o + 1/3*o**4 + 8 + 2/9*o**3 + 0*o**2. Factor b(p).
2*p**2*(p + 1)**2/3
Let 5*y**4 - 1/4*y**5 - 150 - 69/2*y**3 - 85/4*y + 89*y**2 = 0. What is y?
-1, 3, 5, 8
Let u = 173647 - 1215503/7. Factor -24/7*p + 2/7*p**2 - u.
2*(p - 13)*(p + 1)/7
Let d = -435643 - -435648. Factor -23/4*r**2 + 7/4*r**3 + d*r - 1.
(r - 2)*(r - 1)*(7*r - 2)/4
Let h be -55 + 1/(6/(-210)*-5). Let q be ((75/(-50))/(9/h))/4. Factor -1/6*k**4 + 0*k - 1/6*k**q + 1/3*k**3 + 0.
-k**2*(k - 1)**2/6
Factor 230*c**3 + 6975*c**2 + 5/2*c**4 - 148955/2 + 67270*c.
5*(c - 1)*(c + 31)**3/2
Let l = -2742 + 13712/5. Let m be 47/30 + (-10)/15. Factor -3/10*o**3 + m*o + l - o**2.
-(o - 1)*(o + 4)*(3*o + 1)/10
Suppose 13*n - 120 = -120. Suppose -2*f + 6 = 2*f - 3*l, n = -2*f - 4*l + 14. Factor 0 + 2/7*d**2 - 4/21*d - 2/21*d**f.
-2*d*(d - 2)*(d - 1)/21
Let r be (1*(-35)/14*-1 - 6)*324/(-567). What is q in -1/10*q**r + 8/5*q + 0 = 0?
0, 16
Let w = 66 - 1. Suppose 35*v**3 + w*v - 3 + 23 + 8*v**2 + 67*v**2 + 5*v**4 = 0. What is v?
-4, -1
Suppose -7340 = -2*p - 2*x, 0 = p + 7*x - 5*x - 3669. Solve -93*a + 1769*a**2 + 2787 + 330*a**3 + p*a**2 - 237*a - 8232 + 5*a**4 = 0.
-33, -1, 1
Let v(p) be the second derivative of p**5/120 - 5*p**4/72 - p**3/36 + 5*p**2/12 + 94*p. Determine a so that v(a) = 0.
-1, 1, 5
Suppose -27*w**2 - 12/5*w**5 + 1257/5*w + 423/5*w**4 - 288/5 - 249*w**3 = 0. What is w?
-1, 1/4, 1, 3, 32
Determine d so that 5/4*d**2 - 235/4*d - 60 = 0.
-1, 48
Let z = 18 - 249. Let k be z/(-4) - 9/12. Factor k - 30 + n**2 + 8*n - 27.
n*(n + 8)
Let r be (5/6)/((22 - 21)/((-6)/(-30))). Let p(k) be the first derivative of -28 - k - r*k**3 + 3/4*k**2. Factor p(x).
-(x - 2)*(x - 1)/2
Let c = 121 - 117. Solve s**c - 3*s + 0*s**3 - 3*s**3 + 12*s - 5*s = 0.
-1, 0, 2
Let u(k) = k**2 - 25*k + 156. Let y be u(11). Let d(w) be the third derivative of 3/2*w**3 - 1/80*w**5 - 1/4*w**4 + 0*w + 31*w**y + 0 + 1/160*w**6. Factor d(h).
3*(h - 2)**2*(h + 3)/4
Let j(h) be the first derivative of -5*h**3/2 - 813*h**2/2 - 324*h + 890. Factor j(k).
-3*(k 