**5 + 1/2*l**7 + 2/5*l**6. Solve t(p) = 0 for p.
-2/7, 0
Let s(i) = 2*i**3 + 3*i**2 + i + 4. Let y be s(-3). Let b = 28 + y. Factor 0 - z**4 + 27*z**b + 8*z**4 - 13*z + 3 - 1 - 23*z**3.
(z - 1)**3*(7*z - 2)
Let o be 2/(-3)*291/3395*-35. Factor 0*v - 245/3 + 5/3*v**o.
5*(v - 7)*(v + 7)/3
Let v(d) be the third derivative of d**8/16800 + d**7/1260 - d**6/1800 - d**5/60 + 49*d**4/8 + 278*d**2. Let p(i) be the second derivative of v(i). Factor p(u).
2*(u - 1)*(u + 1)*(u + 5)/5
Suppose 142*y - 126*y + 96 = 0. Let b(m) = -15*m - 90. Let p be b(y). Determine d so that 0*d**3 + p*d**2 - 8/3*d**4 + 0 - 2/3*d**5 + 0*d = 0.
-4, 0
Find p, given that 1472*p + 4/7*p**3 - 42320/7 - 388/7*p**2 = 0.
5, 46
Let v be 18620/(-36960) + 6/11. Let m(t) be the third derivative of 0*t + v*t**4 + 2/105*t**7 + 0*t**3 - 1/120*t**6 - 1/15*t**5 + 6*t**2 + 0. Factor m(p).
p*(p - 1)*(p + 1)*(4*p - 1)
Let m(d) = -39*d - 240. Let n(c) = -43*c - 239. Let q(k) = 6*m(k) - 5*n(k). Let x be q(-13). What is w in -2/3*w**x + 0 + 2/3*w = 0?
0, 1
Let n be ((-564)/24*(-10)/(-20) + 14)/(30/8). Solve 33/5*h**3 - 6*h - 24/5 - n*h**5 + 21/5*h**2 + 3/5*h**4 = 0 for h.
-2, -1, 1, 4
Let z(w) be the second derivative of w**6/135 + 43*w**5/90 + 13*w**4/3 + 452*w**3/27 + 296*w**2/9 - 79*w - 3. Factor z(x).
2*(x + 2)**3*(x + 37)/9
Let o = 840 + -468. Suppose -o*t**2 + 2*t**4 + 306*t**3 + 120*t - 7*t**4 - 9*t**4 - 13*t**4 = 0. Calculate t.
0, 2/3, 10
Let i = 89 + -47. Suppose i = 4*y + 2*r, 3*y + 0*r - 45 = 3*r. Solve -33*o**4 + 50*o**5 + 16*o**3 + 15*o - y*o**4 - 39*o**3 + 55*o**2 - 42*o**3 - 10 = 0.
-1, -1/2, 2/5, 1
Let f = 17803 - 142417/8. Let w(k) be the second derivative of 0 - 1/4*k**3 - 31*k + 0*k**2 - 5/8*k**6 - f*k**4 - 39/32*k**5. Find z, given that w(z) = 0.
-1/2, -2/5, 0
Let i = 167315 - 167315. Solve 13/2*t**4 + 0*t + i - 5/2*t**5 - 2*t**2 - 2*t**3 = 0.
-2/5, 0, 1, 2
Let b(f) be the first derivative of f**6/150 + 3*f**5/100 + f**4/60 - f**3/10 - f**2/5 + 104*f - 141. Let v(t) be the first derivative of b(t). Factor v(w).
(w - 1)*(w + 1)**2*(w + 2)/5
Let j(h) be the first derivative of h**6/30 + h**5/6 - 2*h**4 + 3*h**3 - h**2 - 55. Let o(r) be the third derivative of j(r). Factor o(z).
4*(z + 3)*(3*z - 4)
Suppose -12*z + 18*z = 9*z - 6. Let p(d) be the second derivative of 0 - 10*d + 2/3*d**3 - 3*d**z - 1/18*d**4. Let p(y) = 0. Calculate y.
3
Let u = -315 - -316. Let z be 5 - (-3 + (7 - u)). Factor -1/2*m**z - 1/2*m + 1.
-(m - 1)*(m + 2)/2
Factor 2/9*y**2 + 256/3 + 80/9*y.
2*(y + 16)*(y + 24)/9
Factor 56*j**3 + 246106*j**5 + 64*j**4 - 246105*j**5 + 69*j**3 + 62*j**2.
j**2*(j + 1)**2*(j + 62)
Suppose -416*i = -284*i. Let o(m) be the first derivative of -8 - 16/15*m**3 - 1/10*m**4 + 0*m + i*m**2. Factor o(g).
-2*g**2*(g + 8)/5
Let k(x) be the first derivative of x**3/3 + 13*x**2/2 - 6*x - 51. Let q(f) = -f**2 - 14*f + 5. Let t(g) = 5*k(g) + 4*q(g). Factor t(i).
(i - 1)*(i + 10)
Let k be 3 - 7/(-12 - -5). Find v such that -6*v**k + 26*v**5 - v**3 + 34*v**2 + 4*v**5 - 12*v - 29*v**5 - 40 = 0.
-2, -1, 2, 5
Let i be 228/266*28/6. What is d in -i*d + 73*d - 29*d**2 + 26*d**2 = 0?
0, 23
Let h(t) = -10*t - 106. Let r be h(-13). Let j(d) be the second derivative of 1/42*d**4 + 0*d**2 + 0 + r*d + 2/21*d**3. Factor j(c).
2*c*(c + 2)/7
Find y such that -204*y**4 + 4/3*y**5 - 23104/3*y**2 + 0 + 7904*y**3 + 0*y = 0.
0, 1, 76
Let v = 321 - -82. Let s = 6047/15 - v. Determine c, given that -4/15 - 2/5*c - s*c**2 = 0.
-2, -1
Factor -144 - 65*v**2 - 255*v**3 + 491*v**3 - 274*v**3 - v**4 + 248*v.
-(v - 1)**2*(v + 4)*(v + 36)
Let m = -199 + 1831. Suppose 4630 = 355*x + 1292*x - 3605. Solve 256 - m*l - 1873/2*l**3 - 9/2*l**x + 2892*l**2 + 111*l**4 = 0 for l.
1/3, 8
Let f be 9 + (-826)/42 + 11. Let s(d) be the first derivative of 8 + 0*d + f*d**3 + 1/2*d**2. Factor s(j).
j*(j + 1)
What is j in -38*j - 1/2*j**3 + 0 + 77/2*j**2 = 0?
0, 1, 76
Suppose 58 = -6*d + 82. Let o(l) be the second derivative of 36*l**2 - 40/3*l**d - 34*l**3 - 7/5*l**5 + 0 - 4*l. Suppose o(h) = 0. What is h?
-3, 2/7
Suppose 361 = 830*x - 1299. Find z such that 17/4*z**x - 5/4*z**4 - 9/4*z**3 + 2*z + 1/4*z**5 - 3 = 0.
-2, -1, 1, 6
Suppose 245 = z + h, -88348*z = -88353*z + 3*h + 1185. Let z*u + 12*u**2 + 1600 + 1/5*u**3 = 0. Calculate u.
-20
Let i(d) be the second derivative of -16*d + 1/18*d**4 - 1 + 1/9*d**2 - 4/27*d**3. Determine v so that i(v) = 0.
1/3, 1
Let y = -809 - -812. Suppose 350*h**2 + 556*h**y + 182*h**5 - 88*h**5 - 108*h**4 - 242 - 561*h - 89*h**5 = 0. What is h?
-1, -2/5, 1, 11
Factor 676/7*h - 674/7 - 2/7*h**2.
-2*(h - 337)*(h - 1)/7
Let w = -2129 + 3204. Let p = w - 5374/5. Factor -p + 9/10*c - 7/10*c**2.
-(c - 1)*(7*c - 2)/10
Let k(c) be the first derivative of -c**4/27 + 14*c**3/9 - 117*c - 75. Let y(r) be the first derivative of k(r). Solve y(j) = 0 for j.
0, 21
Let r(b) be the second derivative of 2*b**6/15 - 2*b**5/5 - 11*b**4/3 + 8*b**3 - 2972*b. Factor r(y).
4*y*(y - 4)*(y - 1)*(y + 3)
Factor 2/15*n**3 + 4/15*n + 0 - 2/5*n**2.
2*n*(n - 2)*(n - 1)/15
Let j(q) be the second derivative of 3*q**5/20 + 83*q**4/3 + 181*q**3/2 - 109*q**2 - 279*q. Factor j(m).
(m + 2)*(m + 109)*(3*m - 1)
Suppose -203 + 644 + 9*n - 12*n**2 - 471*n - 2*n**4 + 7*n**4 - 2*n**4 + 30*n**3 = 0. Calculate n.
-7, 1, 3
Let p(m) be the second derivative of -6*m + 43*m**4 + 2048*m**2 - 1408*m**3 - 11 - 2/5*m**5. Factor p(u).
-4*(u - 32)**2*(2*u - 1)
Suppose -5*r - 4*n + 24 + 31 = 0, -3*r = -14*n + 131. Let q be (0/1)/(2 + -3). Factor 1/3*x**r + q + 2/3*x + x**2.
x*(x + 1)*(x + 2)/3
Let i(p) be the third derivative of -11*p**2 - 5/3*p**4 - 15/2*p**3 + 1/12*p**5 + 0*p - 5. What is w in i(w) = 0?
-1, 9
Find x such that 1/4*x**4 - 43/4*x**3 + 123/4*x + 79/4*x**2 + 0 = 0.
-1, 0, 3, 41
Let j(i) = 5*i**2 + 46*i + 192. Let c(g) = 183*g + 21*g**2 + 59 + 262 + 447. Let v be (-6)/(-33) + (-101)/11. Let w(l) = v*j(l) + 2*c(l). Factor w(h).
-3*(h + 8)**2
Let x(v) = 2*v**2 + 3764*v + 48599. Let i be x(-13). Factor 0 + 1/5*h**i - 2/5*h + 3/5*h**2 - 3/5*h**4 + 1/5*h**3.
h*(h - 2)*(h - 1)**2*(h + 1)/5
Let p = -356 - -291. Let q = 67 + p. Factor 4/17*b**q + 0 + 6/17*b - 2/17*b**3.
-2*b*(b - 3)*(b + 1)/17
Suppose 3*u = -t + 222 - 226, 0 = t + u - 2. Factor -2/9*p**t + 0 + 4/9*p**4 + 8/3*p**3 + 28/9*p**2 + 10/9*p.
-2*p*(p - 5)*(p + 1)**3/9
Let u(l) be the first derivative of -l**5/25 + 11*l**4/10 + 47*l**3/15 + 12*l**2/5 - 1245. Find o such that u(o) = 0.
-1, 0, 24
Let q(j) be the third derivative of -j**2 - 1/19*j**4 + 3/19*j**3 + 0*j - 24 + 1/1995*j**7 + 1/285*j**6 - 1/285*j**5. Find a such that q(a) = 0.
-3, 1
Suppose -3*x**2 - 1702 + 3724 - 1837 + 615*x - 2003 = 0. What is x?
3, 202
Find x, given that -1061/2*x + 5/6*x**2 - 637/3 = 0.
-2/5, 637
Let s(a) be the second derivative of 3*a**5/20 + 367*a**4/4 + 728*a**3 + 2178*a**2 + 3353*a. Factor s(u).
3*(u + 2)**2*(u + 363)
Let -208/7*o**3 + 2/7*o**4 + 0 - 1320/7*o**2 + 0*o = 0. What is o?
-6, 0, 110
Factor -3438*c + 696853 + 6426837*c**2 - 6426836*c**2 + 2258108.
(c - 1719)**2
Let v be (-480)/810*-63 - 37. Factor 1/3*s**4 - v*s + 1/3*s**3 + 2/3 - s**2.
(s - 1)**2*(s + 1)*(s + 2)/3
Let n(i) = 3*i**2 + 894*i - 193598. Let t(z) = 17*z**2 + 4477*z - 967989. Let d(r) = 11*n(r) - 2*t(r). Factor d(x).
-(x - 440)**2
Let d(b) be the third derivative of 5*b**2 + 6 + 5/24*b**4 + 1/12*b**5 + 0*b - 1/24*b**6 - 5/6*b**3. Suppose d(t) = 0. Calculate t.
-1, 1
Let m(j) = 6*j + 4 - 21 - j - 8. Let o be m(8). Suppose -3*h**2 - 10*h**3 + 3*h**4 + 22*h**3 + o*h**2 = 0. Calculate h.
-2, 0
Let p = -2331349/39 + 59772. Let o = p + 19/3. Factor 16/13*s**2 + 0 + o*s**4 - 10/13*s**3 - 8/13*s.
2*s*(s - 2)**2*(s - 1)/13
Let b(w) be the third derivative of -65*w**2 + 0 - 13/100*w**5 - w**4 + 0*w - 18/5*w**3 - 1/200*w**6. Determine k, given that b(k) = 0.
-9, -2
Let o be 3/9 + 50/(-177). Let m = o - -457/295. Suppose 56/5*w**4 + 0 - m*w**2 + 8/5*w - 22*w**3 = 0. Calculate w.
-2/7, 0, 1/4, 2
Let u be ((-78)/(-10))/(((-36)/15)/((-5640)/3525)). Let u + 9/5*w**3 + 228/5*w**2 - 31*w = 0. What is w?
-26, 1/3
Let g(s) = 2*s**4 - 2*s**3 + 3*s - 1. Let u(z) = -5*z**4 + 253*z**3 + 735*z**2 + 724*z + 247. Let r(x) = -3*g(x) - u(x). Determine k so that r(k) = 0.
-244, -1
Solve 0 + 9/4*v - 69/8*v**2 + 15/2*v**3 = 0 for v.
0, 2/5, 3/4
Let s be 2/(-8)*(-33)/(