**4 - 235/3*x**3. Factor u(k).
5*(k - 8)*(k - 1)*(5*k - 2)
Solve 320775/2*p + 324723 - 984*p**2 + 3/2*p**3 = 0 for p.
-2, 329
Let p(y) = 3*y + 60. Let a be p(-19). Find v, given that 12*v**2 + 235*v**a - 235*v**3 - v - 4*v**4 + 9*v = 0.
-1, 0, 2
Let p = -136800 - -684018/5. Factor p*s - 81/5 - 1/5*s**2.
-(s - 9)**2/5
Let s(w) be the second derivative of -w**7/42 - 143*w**6/10 + 861*w**5/20 - 431*w**4/12 + w - 12. Factor s(b).
-b**2*(b - 1)**2*(b + 431)
Solve 527*h - 13*h + 165*h**3 - 3*h**4 - 202*h - 474*h**2 = 0.
0, 1, 2, 52
Let d be 22/99 + (-10239)/(-17955). Let n = d - -1/133. Factor n*h**2 + 1/5 + h.
(h + 1)*(4*h + 1)/5
Let c be (0 - 0) + 9/7. Let b = -50417 - -50419. Factor -6/7*t - c + 3/7*t**b.
3*(t - 3)*(t + 1)/7
Let q(g) be the third derivative of 0*g - 1/112*g**8 - 5/6*g**3 + 1/2*g**5 + 1/24*g**4 + 1/30*g**7 + 17/60*g**6 + 0 - 135*g**2. Factor q(c).
-(c - 5)*(c + 1)**3*(3*c - 1)
Let f(x) be the second derivative of 9*x**5/4 + 20*x**4/3 - 1090*x**3/3 + 240*x**2 - 504*x. Factor f(o).
5*(o - 6)*(o + 8)*(9*o - 2)
Suppose 23143 = 48*h - 35465. Suppose 1223 - h = k. Determine s so that 0 - 2/3*s**5 - 4/3*s**3 + 0*s**k + 0*s - 2*s**4 = 0.
-2, -1, 0
Let m be (3 + -1)/(3*3/9). Let 8*j**2 - 5*j**3 + 3*j**5 + 10*j**4 + 2*j**5 - 13*j**m - 5*j**4 = 0. What is j?
-1, 0, 1
Let b be (-17)/21 + 22/(-66). Let c = b - -37/14. Factor -c*i**2 - 24 - 12*i.
-3*(i + 4)**2/2
Let r(j) be the first derivative of -17 - 80*j + 8*j**2 - 4/15*j**3. Suppose r(x) = 0. Calculate x.
10
Suppose 129832*u**4 - 129790*u**4 - 24*u**3 - 10*u**3 - 8*u**5 - 6*u**2 - 6*u**2 + 18*u - 54*u**2 = 0. What is u?
-1, 0, 1/4, 3
Let v(l) be the first derivative of 0*l + 1/8*l**2 + 1/6*l**3 + 1/16*l**4 - 53. Solve v(o) = 0 for o.
-1, 0
Let u(d) be the third derivative of d**5/300 + 83*d**4/60 + 371*d**3/10 - 7775*d**2. Determine t so that u(t) = 0.
-159, -7
Let c be 159/371*(6 - 0). Factor 48/7*w + 66/7*w**2 + c*w**3 - 24/7.
6*(w + 2)**2*(3*w - 1)/7
Let g = 1041480 + -1041477. Factor -13/8*a**g + 0 - 1/2*a + 7/2*a**2.
-a*(a - 2)*(13*a - 2)/8
Let k(l) be the second derivative of 55*l + 0*l**3 - 3/5*l**5 + 0 + 0*l**2 - 5/3*l**4. Factor k(u).
-4*u**2*(3*u + 5)
Find u such that -3*u**2 + 232 + 11793*u + u**2 - 2*u**2 - 11901*u = 0.
-29, 2
Let h(p) be the first derivative of -p**5/210 + 10*p**4/21 - 400*p**3/21 + p**2/2 + 127*p + 152. Let r(b) be the second derivative of h(b). Factor r(q).
-2*(q - 20)**2/7
Suppose 3*l**3 + 39*l**2 + 19*l - 24*l**2 + 176*l - 219*l**2 + 402 = 0. Calculate l.
-1, 2, 67
Let p(o) be the second derivative of o**5 - 55*o**4/3 - 265*o**3/2 - 315*o**2 + 761*o. Factor p(a).
5*(a - 14)*(2*a + 3)**2
Let q = 66583/3 - 22193. Find c, given that -8/3*c**2 + 0 + 0*c + q*c**4 + 4/3*c**3 = 0.
-2, 0, 1
Let w(k) be the first derivative of 2*k**3/3 + 27*k**2 - 116*k + 1699. Factor w(f).
2*(f - 2)*(f + 29)
Let p(b) = -b**3 - 15*b**2 - 5*b - 68. Let s be p(-15). Suppose 0*t + s*t = 21. Let -2/15*y**t + 8/15 + 2/3*y**2 - 16/15*y = 0. Calculate y.
1, 2
Let w(b) be the third derivative of b**6/300 - 193*b**5/75 - 155*b**4/12 - 388*b**3/15 + b**2 + 388. Factor w(g).
2*(g - 388)*(g + 1)**2/5
Suppose -37*o + 81 = -104. Factor 6*f**2 - 2022*f + o*f**3 - 30 - 46*f**2 + 2087*f.
5*(f - 6)*(f - 1)**2
Let f be (-75)/(-100)*(56 + -3 + -1). Suppose 756*l - 769*l + f = 0. Factor -2/3*v**2 + 0 - 2/3*v**l + 0*v.
-2*v**2*(v + 1)/3
Let w(j) = -j**3 + 61*j**2 - 59*j - 48. Let d be w(60). Let n(z) be the second derivative of 0 + 7/3*z**4 + 38/3*z**3 + 14*z - d*z**2. Factor n(v).
4*(v + 3)*(7*v - 2)
Let k be (-762)/1270 - (66/(-30) - 1*2). Find t such that 12/5*t - 2/5*t**4 - 12/5*t**3 + k - 16/5*t**2 = 0.
-3, -1, 1
Let a be (18/4)/((-12)/(-1560)*13). Let y be (0 - 9/6)*(-60)/a. Factor 4/7*i**y - 4/7*i**3 + 2/7 - 6/7*i**4 - 2/7*i**5 + 6/7*i.
-2*(i - 1)*(i + 1)**4/7
Let g(a) = -55*a + 169. Let y be g(3). Suppose -y*b - 535 = -547. Determine l so that -24/5*l - 4 + 24/5*l**b + 16/5*l**2 + 4/5*l**4 = 0.
-5, -1, 1
Let o = 57111/2153345 + -4/8005. Let p = o + 517/807. Find n, given that -p*n**3 + 0 + 1/3*n + 0*n**2 + 1/3*n**5 + 0*n**4 = 0.
-1, 0, 1
Suppose -24 = -f - 4*f + 2*h, -2*f + 14 = -3*h. Let r be (2/(-4))/((-1)/f). Factor 0*p**2 - 3*p**r - 3*p**3 + 0*p**3 + 6*p**2.
-3*p**2*(p - 1)
Let o(g) be the third derivative of -4 + 80/3*g**3 + 5/3*g**4 + 1/42*g**7 - 1/12*g**6 + 36*g**2 - g**5 + 0*g. Let o(b) = 0. Calculate b.
-2, 2, 4
Let y(h) be the third derivative of -h**8/2016 + 43*h**7/420 - 145*h**6/24 + 6143*h**5/180 - 1337*h**4/16 + 441*h**3/4 - 4*h**2 - h - 70. Factor y(p).
-(p - 63)**2*(p - 1)**3/6
Suppose 3/5*p**2 + 174/5*p + 1551/5 = 0. What is p?
-47, -11
Let i(a) be the third derivative of -115*a**2 - a - 1/15*a**5 - 28*a**3 + 0 - 23/6*a**4. Factor i(x).
-4*(x + 2)*(x + 21)
Let a(q) be the first derivative of q**3/6 - 93*q**2/4 + 5575. Solve a(m) = 0 for m.
0, 93
Let n = 111092/27549 + -1460/3061. Find p such that -n*p + 4/3*p**3 + 8/3*p**2 + 0 - 4/9*p**4 = 0.
-2, 0, 1, 4
Solve 3890/7*j**3 + 6498/7*j**2 - 6/7*j**4 + 186*j - 1300/7 = 0.
-1, 1/3, 650
Let m(y) = -y**2 + 39*y + 77. Let n be m(39). Let l be (-2 + 44/n)/(18/(-14)). Find o such that -l*o**4 + 0 - 2/3*o**5 + 0*o**2 + 4/9*o**3 + 0*o = 0.
-2, 0, 1/3
Let z = 1502 + -1482. Let o(l) be the second derivative of -1/2*l**3 - 6*l**2 + 3*l**4 + 0 - 1/5*l**6 + z*l - 3/4*l**5. Determine y, given that o(y) = 0.
-4, -1/2, 1
Suppose 5*j - 5 = 0, -3*n - j = 25 + 7. Let v(s) = -s**3 - 12*s**2 - 12*s - 5. Let z be v(n). Factor -6*x + 1 - x**2 + x - x**3 + z*x.
-(x - 1)*(x + 1)**2
Let z(l) be the second derivative of 11/24*l**3 + 1/8*l**4 - 105*l + 0 + 1/80*l**5 + 3/4*l**2. Suppose z(b) = 0. Calculate b.
-3, -2, -1
Let u = 118945 + -118945. Let n = 233/6 - 1111/30. Factor -6/5*v**3 + 0*v + u + 1/5*v**4 + n*v**2.
v**2*(v - 3)**2/5
Suppose 4*n + 5*j = 2*j + 19, -2*n + j + 7 = 0. Suppose -2*i - n*m = -10, 9*i - 11*i + 3*m = -3. Suppose 0 - 1/10*z**i + 3/10*z**2 + 0*z = 0. What is z?
0, 3
Let y(q) be the second derivative of q**6/105 - 116*q**5/5 + 23548*q**4 - 38241952*q**3/3 + 3881558128*q**2 - 7426*q. Factor y(r).
2*(r - 406)**4/7
Let a be (-432)/30 + 14 + (-8)/(-20). Factor a + 3/2*u**2 + 3/2*u.
3*u*(u + 1)/2
Let m(k) be the second derivative of 27783/2*k**2 - 2 + 3/20*k**5 + 63/4*k**4 + 1323/2*k**3 - 144*k. Factor m(x).
3*(x + 21)**3
Let q(t) = t**3 + t**2 - 4*t - 4. Let z be q(-2). Let o = 316/5 - 63. Factor z + 0*s - o*s**3 + 1/5*s**2.
-s**2*(s - 1)/5
Let h(c) be the first derivative of 49*c**6/144 + 35*c**5/12 + 125*c**4/12 + 40*c**3/3 - c**2 + 89. Let a(w) be the third derivative of h(w). Factor a(f).
5*(7*f + 10)**2/2
Factor 52/7*j + 138/7 + 2/7*j**2.
2*(j + 3)*(j + 23)/7
Let t be (-3002)/(-1881) - (4/(-3))/((-66)/(-9)). Determine n, given that -8/3 + t*n - 2/9*n**2 = 0.
2, 6
Suppose 24*y = -4188 + 4260. Let l(f) be the second derivative of -2/9*f**y - 1/6*f**4 + 0 + 0*f**2 - 7*f - 1/30*f**5. Determine z so that l(z) = 0.
-2, -1, 0
Factor 7/2*w - 1/6*w**2 - 9.
-(w - 18)*(w - 3)/6
Let z(i) = 27066*i + 3. Let d be z(0). Let 72/5*x**2 - 3/5*x**d + 1536/5 - 576/5*x = 0. What is x?
8
Let g = 1128952 - 2257883/2. Find u, given that 9 + u**2 - g*u + 1/2*u**3 = 0.
-6, 1, 3
Suppose 0 = -307*n + 158*n. Solve -8/11*f**2 + 0 - 6/11*f**3 + 2/11*f**4 + n*f = 0 for f.
-1, 0, 4
Let p(a) be the third derivative of a**5/150 - 203*a**4/30 - 39*a**2 + 8*a. Suppose p(u) = 0. Calculate u.
0, 406
Let j(q) be the first derivative of 10*q**3/3 + 7126*q**2 + 2850*q + 1107. What is d in j(d) = 0?
-1425, -1/5
Let k be (-29 - -28)*(1 - -1). Let y be (((-3)/k)/(231/(-28)))/(-1). Find p such that 0*p - 2/11 + y*p**2 = 0.
-1, 1
Let c be (-11204)/100*(-30)/(-18). Let v = 957/5 + c. Factor -4/3*r**3 - 1 + v*r - 7/3*r**2.
-(r - 1)*(r + 3)*(4*r - 1)/3
Let g = 22335/4 - 5583. Let x(s) be the first derivative of -g*s**4 - 4/5*s**5 + 1/3*s**3 + 17 + 0*s**2 + 0*s. Factor x(a).
-a**2*(a + 1)*(4*a - 1)
Let p(w) = 42*w + 6*w + 266 - 3*w**2 + 316 + 94. Let r(x) = x**2 + x. Let a(m) = -p(m) - 4*r(m). Factor a(d).
-(d + 26)**2
Let u(l) be the second derivative of 3*l**5/70 - 2*l**4/7 + l**3/7 + 18*l**2/7 - 517*l. Factor u(w).
6*(w - 3)*(w - 2)*(w + 1)/7
Let g(w) = -5*w**3 - 15*w**2 - 25*w. Let h(z) = z. Let l be ((-33)/(-22))/((-6)/(-8)). Suppose 5*k - 7 = -l*k. Let y(u) = k*g(u) + 25*h(u)