= -5*m**3 - m**2 + 23*m + 6. Let f(l) = -h(l) + 4*w(l). Let j be f(4). Factor 0*s + 4/13*s**3 + 0 + 2/13*s**4 + 2/13*s**j.
2*s**2*(s + 1)**2/13
Let r(z) = 6*z**5 - 4*z**2 - 4*z. Let c(l) = l. Let k be c(4). Let g(i) = -i**5 - i**4 + i**2 + i. Let v(x) = k*g(x) + r(x). Factor v(f).
2*f**4*(f - 2)
Factor 35*v**2 - 76 - 81*v**2 - 9 + 43*v**2 - 78*v + 10.
-3*(v + 1)*(v + 25)
Let i(a) be the second derivative of -1/114*a**4 + 0 + 6*a - 64/19*a**2 + 16/57*a**3. Factor i(w).
-2*(w - 8)**2/19
Suppose 2*t - 5*t = -12. Let y be ((492/(-41))/3)/(-2 + 5/((-15)/84)). Let 0*h**2 + 2/5*h**3 - 8/15*h - y*h**t + 0 = 0. Calculate h.
-1, 0, 2
Suppose h - 4 + 5 = 0. Let m be (h - 134)*(-6)/15. Factor -i**2 - i**2 - m*i + 56*i.
-2*i*(i - 1)
Let n(l) be the first derivative of -1/2*l**4 + 1764/5*l - 416/15*l**3 + 39 - 2121/5*l**2. Solve n(y) = 0 for y.
-21, 2/5
Let y = -247 - -252. Let w be 20/(-10 + y)*2/(-36). Factor 2/9*c**2 - 2/9*c**3 + 2/9*c - w.
-2*(c - 1)**2*(c + 1)/9
Let f(d) = -d**3 - 11*d**2 - 13*d - 10. Let h be f(-10). Let x be h - -1 - ((-7 - -3) + 2). Factor -12*y**4 - 15*y**4 + x*y**4.
-4*y**4
Let u(j) = -117 + j**2 - 15 + j + 4*j + 11*j. Let q be u(6). Find s such that -4/3*s**2 + 1/3*s + q = 0.
0, 1/4
Let k(z) be the first derivative of -99 - 2/9*z**3 - 512/3*z - 32/3*z**2. What is p in k(p) = 0?
-16
Let i(k) be the second derivative of -56*k + 0 - 1/2*k**3 - 1/12*k**4 + 0*k**2 + 1/30*k**6 + 3/20*k**5. Factor i(q).
q*(q - 1)*(q + 1)*(q + 3)
Suppose -44*t + 70*t = -42276. Let z = t - -1628. Let 31/2*r + 4 - 2*r**z = 0. What is r?
-1/4, 8
Let u be 16/(576/49) - (-2)/16*-2. Let o(a) be the first derivative of 13 - u*a + 11/9*a**2 + 1/18*a**4 - 14/27*a**3. Factor o(j).
2*(j - 5)*(j - 1)**2/9
Let u(x) be the first derivative of 134 - 4/7*x**3 - 12/7*x + 1/14*x**4 + 11/7*x**2. Solve u(l) = 0.
1, 2, 3
Let p(x) = 8*x**2 + 4*x + 5. Let v be p(-2). Let j = v - 25. Factor -2 + j + 5*f**2 - 7.
5*(f - 1)*(f + 1)
Let c(x) be the first derivative of 0*x - 1/7*x**4 + 8/7*x**2 - 55 - 4/7*x**3. Suppose c(d) = 0. Calculate d.
-4, 0, 1
Suppose -802*d**2 - 62*d**3 - 731*d + 943*d - 1524*d + 88 = 0. Calculate d.
-11, -2, 2/31
What is u in 9*u**2 + 28686736 + 21984*u - 10058*u - 5*u**2 + 9498*u = 0?
-2678
Let u be (1092/624)/((-2)/(-376)). Suppose -u*z + 307*z = 0. Solve z - 12*w**2 + 3/2*w**3 + 24*w = 0 for w.
0, 4
Let k(x) be the first derivative of -1/2*x**2 + 1/4*x**4 + 124 - 1/10*x**5 + 0*x**3 + 1/2*x. Factor k(f).
-(f - 1)**3*(f + 1)/2
Suppose 4*u - 26 = -2*s, 2*u - 4*s = 4*u - 28. Suppose z - u = -z. Suppose p**3 + 5*p**3 - 53*p + 3 - 6*p**z + 3*p**4 + 50*p - 3*p**5 = 0. Calculate p.
-1, 1
Let d(z) = -2*z**4 + 12*z**3 + z**2 + z - 2. Let y(s) = 2*s**4 - 1784*s**3 - 580802*s**2 - 85184002*s - 4685119996. Let g(n) = -4*d(n) - 2*y(n). Factor g(b).
4*(b + 220)**4
Let r(w) be the first derivative of 0*w - 42 - 4*w**3 + 1/10*w**4 + 45*w**2. Factor r(v).
2*v*(v - 15)**2/5
Suppose 243*h + 21252 = 21738. Factor -2/19*y**h - 32/19 + 16/19*y.
-2*(y - 4)**2/19
Let z(w) be the third derivative of w**5/240 + 29*w**4/96 + 9*w**3/4 + 4*w**2 - 13. Find d, given that z(d) = 0.
-27, -2
Find v such that -7946*v + 180*v**3 - 180*v**2 - 10969*v - 5*v**4 - 7005*v - 103680 = 0.
-6, 24
Suppose -28*l**4 + 10/3*l**5 + 142/3*l**3 + 16 - 152/3*l + 12*l**2 = 0. Calculate l.
-1, 2/5, 1, 2, 6
Let j be (-8)/((-48)/294) - -3. Solve 157*u**2 + 10*u**3 - 36 - 24*u - j*u**2 + 8*u**3 = 0.
-6, -1/2, 2/3
Let l(r) be the third derivative of -1/8*r**4 + 0*r - r**3 + 1/20*r**5 + 0 - 78*r**2. Determine d, given that l(d) = 0.
-1, 2
Let i be 30*1 - 845500/28925. Factor 0*y + 0 - i*y**2 - 8/13*y**3 + 2/13*y**4.
2*y**2*(y - 5)*(y + 1)/13
Let p be 2565/(-8550)*12/(-9). Factor 0*j**2 + 0 + 2/5*j**5 + 0*j + p*j**3 + 4/5*j**4.
2*j**3*(j + 1)**2/5
Let u(d) be the second derivative of -2*d**2 - 17/27*d**3 + 1/54*d**4 + 17*d - 1. Factor u(j).
2*(j - 18)*(j + 1)/9
Let z(l) = -l**3 - 4*l**2 + 10*l + 28. Let j be z(-5). Let p be (j*12/(-54))/((-15)/18). Factor 0*r + 0 - 4/5*r**3 - p*r**2.
-4*r**2*(r + 1)/5
Let u = 115 + -331. Let w = u + 1515/7. Factor -3/7*y**4 + 0 - 3/7*y + 3/7*y**2 + w*y**3.
-3*y*(y - 1)**2*(y + 1)/7
Let s(j) be the second derivative of -j**5/100 - 13*j**4/15 - 101*j**3/30 - 5*j**2 + 1342*j. Factor s(n).
-(n + 1)**2*(n + 50)/5
Suppose -5 = 7*d - 68. Factor -15*w - w + w**2 + d + 0*w**2 + 10*w.
(w - 3)**2
Let p(i) = 7*i - 9*i + i + 3*i**3 - 2*i**2. Let x(r) be the first derivative of -3*r**4/4 + r**3/3 + r**2 - 1. Let q(n) = 5*p(n) + 4*x(n). Factor q(a).
3*a*(a - 1)**2
Let q(k) = k**2 - 5*k + 1. Let a be q(5). Factor d**3 + 2735*d**2 - 1 - 5*d - 2739*d**2 - 2*d**3 - a.
-(d + 1)**2*(d + 2)
Let f be (-1 - -4) + 174/(-66). Suppose 9*k = k + 24. Factor -10/11*c - f - 2/11*c**k - 8/11*c**2.
-2*(c + 1)**2*(c + 2)/11
Let c(b) = -b**3 + 2*b**2 + 2*b - 1. Let r be c(2). Let a be 70/(-2) + 23550/628. Suppose -15/2*s + 5/3 + a*s**2 + 10/3*s**r = 0. Calculate s.
-2, 1/4, 1
Let p = -15034/5 - -3007. Let s(u) be the first derivative of -4/5*u + p*u**2 - 1/10*u**4 + 13 + 4/15*u**3. Let s(f) = 0. Calculate f.
-1, 1, 2
Let f = -53713/42 - -1279. Let u(s) be the third derivative of 11*s**2 - 1/840*s**6 + 1/84*s**5 + 0*s - f*s**3 + 0 + 1/168*s**4. Find z such that u(z) = 0.
-1, 1, 5
Let q(f) be the first derivative of -2*f**5/105 - 205*f**4/21 + 3995. Factor q(g).
-2*g**3*(g + 410)/21
Suppose -3*c + 1780 = c - 4*p, 0 = -c - 4*p + 440. Let q = -1775/4 + c. Factor -q*z**2 + 1/2*z - 1/4.
-(z - 1)**2/4
Let b(u) = -9*u**4 + 369*u**3 + 1410*u**2 + 1128*u + 456. Let i(c) = 2*c**4 - 74*c**3 - 282*c**2 - 226*c - 95. Let o(v) = 5*b(v) + 24*i(v). Factor o(s).
3*s*(s + 1)*(s + 4)*(s + 18)
Let i(g) be the third derivative of -g**6/480 + g**5/32 + 77*g**3/6 + g**2 - 1. Let r(u) be the first derivative of i(u). Factor r(j).
-3*j*(j - 5)/4
Suppose -33*j + 24*j + 13 = -5*u, 4*j = 2*u + 6. Factor 2/3*d**5 + 0 - 2*d**4 + 2*d**3 + 0*d - 2/3*d**j.
2*d**2*(d - 1)**3/3
Factor 8/5*c + 18 - 2/5*c**2.
-2*(c - 9)*(c + 5)/5
Let b = 4665 - 18495/4. Let q = -809/20 + b. Solve q*t + 2/3 + 2/15*t**2 = 0.
-5, -1
Let c(u) be the third derivative of 3/65*u**5 + 0*u + 0*u**3 + 1 - 103*u**2 + 1/780*u**6 + 27/52*u**4. Determine n so that c(n) = 0.
-9, 0
Let 317/4*h + 189/2 + 1/4*h**3 - 15*h**2 = 0. What is h?
-1, 7, 54
Suppose -11*u - 362 + 204 = -191. Let d(l) be the first derivative of 12 - 4/15*l**u - 1/20*l**4 + 0*l - 3/10*l**2. Let d(t) = 0. What is t?
-3, -1, 0
Let i be (1 - -1 - -14) + -56 + (-1848)/(-42). Factor 0*r**3 - 2/3*r**4 + 0 + 14/3*r**2 + i*r.
-2*r*(r - 3)*(r + 1)*(r + 2)/3
Let s(w) be the second derivative of w**5/100 - 47*w**4/60 - 103*w**3/10 - 477*w**2/10 + 366*w - 6. Find c, given that s(c) = 0.
-3, 53
Solve 3836*s**2 - 29*s**3 + 75 - 10*s**4 - 36*s**3 - 3901*s**2 + 65*s = 0 for s.
-5, -3/2, -1, 1
Factor 160 + 351*o - 4*o**3 - 458*o + 423*o + 132*o**2 + 20*o**2.
-4*(o - 40)*(o + 1)**2
Let 4/3*u**3 + 262/3*u**2 - 44*u + 0 = 0. What is u?
-66, 0, 1/2
Let n(w) = w**4 - 7*w**3 - 10*w**2 - 2*w. Let x(q) = -q**5 + 9*q**4 - 70*q**3 - 99*q**2 - 19*q. Let j(r) = 42*n(r) - 4*x(r). What is a in j(a) = 0?
-2, -1, -1/2, 0, 2
Let w = 246 - 207. Factor 9*b + 27*b - w*b + 3*b**2.
3*b*(b - 1)
Let w(v) = 11*v**3 - 17*v**2 + 7*v - 1. Suppose 22 + 38 = -10*g. Let x(s) = -23*s**3 + 35*s**2 - 14*s + 2. Let z(b) = g*x(b) - 15*w(b). Factor z(i).
-3*(i - 1)*(3*i - 1)**2
Let a = 1341 + -1337. Let d(j) be the second derivative of 1/7*j**a + 20*j + 2/7*j**2 + 0 - 2/7*j**3 - 1/35*j**5. Solve d(h) = 0 for h.
1
Let r(v) be the first derivative of 0*v - 49/3*v**3 - 217 - 7/4*v**4 + 0*v**2 - 1/20*v**5. Let r(s) = 0. Calculate s.
-14, 0
Let d = 20 - 17. Suppose 4*c + 2*k - k = 27, 3*k = c + d. Suppose 8*p**2 + 2*p - 2*p**4 - c*p**3 - 14*p**2 - p - 3*p = 0. What is p?
-1, 0
Suppose 9 = -3*g + 4*j, 0 = -2*g + 4*j - 2 - 0. Let h = g + 9. Factor 6*f**2 - 7*f**h + 10*f**3 - 5*f**4 - 4*f**2.
-5*f**2*(f - 1)**2
Let c be 20 + -46 + 31 + 6/(-2). Factor 3/5*v**c + 12/5*v + 12/5.
3*(v + 2)**2/5
Let c(l) = -1. Let d(u) = -2*u - 22. Let h(w) = 3*c(w) + d(w). Let j be h(-14). Solve 39*z**j + z**2 - 38*z**3 - 3*z + 2*z - z**4 = 0 for z.
-1, 0, 1
Let u = 1/3299 + 3293/19794. Let s(n) be the first derivative of -1/8*n**2 - u*n**3 + 1/2*n + 49 + 1/16*n**4. Determine j so that s(j) 