3*(h - 1)/4
Let y(x) be the first derivative of -1/4*x**4 + 0*x**3 + 0*x**2 + 4/15*x**5 + 0*x - 58 - 1/18*x**6. Factor y(c).
-c**3*(c - 3)*(c - 1)/3
Suppose -126 = -3*r - 4*a - 11, a = -3*r + 121. Let b = r + -37. What is s in 2 - 3*s**2 - 3*s**4 + 4*s**b + s - 4*s**3 + 3*s**3 = 0?
-1, 1, 2
Let u(j) be the third derivative of -2 + 3/20*j**5 + 1/210*j**7 + 18*j**2 + 1/3*j**3 + 1/24*j**6 + 7/24*j**4 + 0*j. Let u(y) = 0. Calculate y.
-2, -1
Let c(f) be the third derivative of -f**6/60 - 13*f**5/30 - 8*f**4/3 - 20*f**3/3 - 2344*f**2. Determine t so that c(t) = 0.
-10, -2, -1
Let p(o) = 0*o + 26 + 4*o - 6*o**2 - 6 - 7*o + o**3. Let u be p(6). Solve 2/13*j**3 - 2/13*j + 2/13*j**u - 2/13 = 0.
-1, 1
Factor -136*c + 76*c**2 - 4/3*c**3 - 1760/3.
-4*(c - 55)*(c - 4)*(c + 2)/3
Suppose 4*q + 32 - 44 = 0. Let j be (q/9)/((-3)/(-81)). Determine h so that -j - 4*h**2 + 9 + 12*h**2 - 4*h**3 = 0.
0, 2
Let y = 622921 - 622918. Find f such that -1/6*f**y + 14/3 + 4*f + 1/2*f**2 = 0.
-2, 7
What is b in -12/7*b**4 + 15/7*b + 9/7*b**5 - 6/7 + 18/7*b**2 - 24/7*b**3 = 0?
-1, 1/3, 1, 2
Factor 45*h**3 - 30*h - 505*h**4 + 81*h + 99*h**2 + 502*h**4.
-3*h*(h - 17)*(h + 1)**2
Solve 47/4*n**3 - 14415/4*n - 31/4*n**2 + 0 - 1/4*n**4 = 0 for n.
-15, 0, 31
Let h(l) be the first derivative of l**6/3 + 4*l**5 - 13*l**4 - 376*l**3/3 - 263*l**2 - 220*l + 743. Solve h(x) = 0.
-11, -2, -1, 5
Let -36/5*f + 2/5*f**3 + 0 + 34/5*f**2 = 0. What is f?
-18, 0, 1
Let z(s) be the third derivative of -s**8/10920 + s**7/1820 - s**6/1170 - 16*s**3/3 - 44*s**2. Let i(t) be the first derivative of z(t). Factor i(k).
-2*k**2*(k - 2)*(k - 1)/13
Factor 21*g - 1/4*g**3 + 0 - 11*g**2 + 1/4*g**4.
g*(g - 6)*(g - 2)*(g + 7)/4
Let r(b) be the first derivative of -b**3/5 + 39*b**2/10 - 66*b/5 + 1090. Factor r(q).
-3*(q - 11)*(q - 2)/5
Let s(f) be the first derivative of 0*f**3 + 20 + 0*f - 2/9*f**2 + 1/9*f**4. Factor s(y).
4*y*(y - 1)*(y + 1)/9
Let j be (6/16)/(-4 - (-152)/8). Let c(g) be the second derivative of -1/12*g**4 + 0*g**2 + 0 - j*g**5 - 19*g - 1/12*g**3. Factor c(f).
-f*(f + 1)**2/2
Let a(i) be the third derivative of 0*i**3 + 8/441*i**8 - 1/42*i**4 - 41*i**2 + 0*i - 16/105*i**7 + 0 - 71/630*i**5 - 23/105*i**6. Factor a(y).
2*y*(y - 6)*(4*y + 1)**3/21
Let i(s) be the first derivative of 4/15*s**3 - 37 - 2/5*s**2 - 1/20*s**4 + 0*s. Let i(f) = 0. What is f?
0, 2
Let t(c) be the second derivative of 0*c**4 - 1/180*c**6 + 0*c**5 - 20*c + 0*c**2 + 0*c**3 - 4 + 1/252*c**7. Factor t(m).
m**4*(m - 1)/6
Let j(k) be the third derivative of -k**7/105 + 13*k**6/240 + k**5/10 + 955*k**2. Solve j(m) = 0 for m.
-3/4, 0, 4
Let m(s) = 3*s**5 - 10*s**4 - 90*s**3 - 160*s**2 - 117*s - 30. Let w(t) = -t**5 - t. Suppose 5 = 3*j + 2. Let d(y) = j*m(y) - 2*w(y). Factor d(g).
5*(g - 6)*(g + 1)**4
Let u = -6701/5 - -188043/140. Let s = -9/4 + u. Factor s*l**2 + 4/7 + 12/7*l.
(l + 2)*(5*l + 2)/7
Let r(d) = -2*d - 4. Let u be r(-3). Let w = 9 + -5. Factor -u*i - 84*i**2 + 4*i**3 - 2*i + 72*i**2 + w*i**4 + 8.
4*(i - 1)**2*(i + 1)*(i + 2)
Let z(w) be the first derivative of -14*w**3 + 6*w**2 + 6/5*w**5 + 42 + 72*w - 3/4*w**4. Factor z(d).
3*(d - 2)**2*(d + 2)*(2*d + 3)
Let y(f) be the first derivative of -2*f**5/65 + 192*f**4/13 - 1391. Determine r so that y(r) = 0.
0, 384
Let k(m) be the second derivative of -275/6*m**2 - 40*m + 85/18*m**3 - 1/60*m**5 - 1/36*m**4 + 2. Factor k(z).
-(z - 5)**2*(z + 11)/3
Let j = -151199/12 - -12604. Let u(t) be the second derivative of j*t**4 - 9*t + 1/2*t**2 + 7/3*t**3 + 0. Factor u(g).
(7*g + 1)**2
Let u = -595557 + 595560. Factor -24/7 - 3/7*j**u + 30/7*j - 3/7*j**2.
-3*(j - 2)*(j - 1)*(j + 4)/7
Let u(x) = -31*x**2 - 146*x + 50. Let l be u(-5). Let y(v) be the second derivative of 1/5*v**5 + 1/3*v**4 + 0*v**2 + 1/6*v**3 + 0 - l*v. Solve y(o) = 0.
-1/2, 0
Suppose g - 2*k - 14 = 0, 3*g - 3*k = 63 - 18. Factor 12*p + g - 25*p - 48*p**3 + 13*p + 45*p**4 - 88*p**2.
(p - 2)*(3*p + 2)**2*(5*p - 2)
Let h be (910/(-175))/(12/(-140)) + 13/((-26)/4). Suppose 476/3*j**4 - h*j**2 + 32/3*j + 196/3*j**5 + 24*j**3 + 0 = 0. Calculate j.
-2, -1, 0, 2/7
Let x(f) be the first derivative of f**4/10 + 56*f**3/15 + 405. Factor x(b).
2*b**2*(b + 28)/5
Let a = 59 - 48. Determine s, given that 2*s + 12*s - 8 - 2*s**4 - 19*s - 6*s**3 + a*s + 10*s**2 = 0.
-4, -1, 1
Suppose 0 = -2*z + 33 + 39. Suppose -108*g = -112*g + z. Factor 32 + 12*n**2 - 23 - 24*n + g*n**2 - 6*n**2.
3*(n - 1)*(5*n - 3)
Let t(n) = 400*n - 194797. Let w be t(487). Let 74/3*o**w - 100*o**2 + 104*o - 16/3 = 0. Calculate o.
2/37, 2
Let f(y) be the third derivative of -y**5/90 + 704*y**4/9 - 1982464*y**3/9 + 3*y**2 + 3*y + 37. Factor f(s).
-2*(s - 1408)**2/3
Let h be (29535/358)/(((-851)/666 - 4/18)*-2). Factor -25 - h*u - 5/2*u**2.
-5*(u + 1)*(u + 10)/2
Let c be ((-2)/(-4) + 3)*20/70. Let m(u) = -u**3 + 6*u**2 + 25*u + 20. Let x be m(9). Factor -25/2*k**3 + 25/2*k + c - k**x.
-(k - 1)*(k + 1)*(25*k + 2)/2
Let x(d) be the first derivative of -578*d + 52 + 34*d**2 - 2/3*d**3. Determine p so that x(p) = 0.
17
Let f(r) be the second derivative of -5*r**7/42 - 19*r**6/6 - 4*r**5 + 15*r**4 - 278*r. Solve f(z) = 0 for z.
-18, -2, 0, 1
Let z(m) = -23*m**3 - 387*m**2 + 53*m - 252. Let v be z(-17). Factor -22/19*c - 2/19*c**v + 12/19 + 12/19*c**2.
-2*(c - 3)*(c - 2)*(c - 1)/19
Let n(y) = 7*y**4 - y**3 - y**2 + y. Let b(c) = -24*c**4 + 68*c**3 + 220*c**2 - 68*c - 220. Let s(i) = -b(i) - 4*n(i). Determine g so that s(g) = 0.
-11, -5, -1, 1
Let a(u) be the third derivative of u**6/90 + 13*u**5/9 - 71*u**4/9 - 1072*u**3/9 + 1805*u**2. Find w such that a(w) = 0.
-67, -2, 4
Let y = -8 - -15. Suppose -3*w + 18 = 3*r + 15, -2*w + 2*r = -10. Factor 5*p**3 + y*p**3 - 12*p**w - 12*p**2 + 3*p**3.
3*p**2*(p - 4)
Suppose 6*s = 12 - 0. Suppose 5*q = -k + 60, k = 5*q - s*q + 92. Factor 6 - 4 - 68*x**2 - 16*x**3 - 18 - k*x.
-4*(x + 2)**2*(4*x + 1)
Let z(y) be the second derivative of -y**5/120 + 11*y**4/12 - 403*y**3/12 + 961*y**2/3 - 450*y. Suppose z(h) = 0. What is h?
4, 31
Let a = 155044/14305 + -110/2861. Let a*s + 729/5 + 1/5*s**2 = 0. Calculate s.
-27
Find z, given that -253829*z - 1503*z**2 - 1213*z - 104287*z - z**3 - 393674*z - 125751501 = 0.
-501
Let m = -4244 + 4244. Let u(o) be the second derivative of -4/3*o**3 + 5*o - 1/30*o**6 + 2*o**2 + m + 1/10*o**5 + 1/4*o**4. Factor u(a).
-(a - 2)*(a - 1)**2*(a + 2)
Let h = 646366 + -2585463/4. Factor -h*r**4 + 11/2*r**2 + 5/4*r**3 + 4*r + 0.
-r*(r - 8)*(r + 1)*(r + 2)/4
Let i be 73/219*3/4. Let x(k) be the third derivative of 2/3*k**3 + 1/30*k**5 + 0 + 0*k + i*k**4 - 3*k**2. Factor x(f).
2*(f + 1)*(f + 2)
Let i be ((-462)/(-30) - 14)*7/21. Let z(g) be the first derivative of 2/5*g + 1/30*g**4 - 11 + i*g**2 + 2/9*g**3. Factor z(j).
2*(j + 1)**2*(j + 3)/15
Let r be ((-22)/(-121))/(17/187). Let a(y) be the second derivative of -2/3*y**3 - y - 1/3*y**4 + 4*y**r + 0. Solve a(o) = 0 for o.
-2, 1
Let z(l) = l**4 - 13*l**3 + 14*l**2 + 16*l + 6. Let r(w) = -2*w**4 + 24*w**3 - 25*w**2 - 30*w - 11. Let u(c) = 6*r(c) + 11*z(c). Determine n so that u(n) = 0.
-2, 0, 1, 2
Suppose 283*s**3 + 377*s**3 - 28*s**5 + 92*s + 128*s**4 + 6*s + 222*s + 824*s**2 = 0. What is s?
-10/7, -1, 0, 8
Let f be (-8)/2 + (-24 - 8). Let k be (-60)/(-270) + (-1)/f. Find b such that k + 1/4*b**2 + 1/2*b = 0.
-1
Let o = 26103 - 10180163/390. Let u(l) be the third derivative of 4*l**2 + 0 + 0*l - o*l**5 - 2/39*l**3 + 3/52*l**4. Let u(n) = 0. Calculate n.
2/7, 1
Determine g so that 4841894151/7 + 10557/7*g**2 + 3/7*g**3 + 12383361/7*g = 0.
-1173
Let l be (-4)/(-7) + 1 + 8/(-48) - (-10)/(-140). Factor 0*w + 0 + l*w**3 + 7*w**2 - 1/3*w**4.
-w**2*(w - 7)*(w + 3)/3
Let r be ((-5304)/819)/34*-21. Solve 8*n**3 + 0*n + 0 + 6*n**2 - 1/2*n**5 + 3/2*n**r = 0.
-2, -1, 0, 6
Suppose -41 - 203/2*z - 7/2*z**3 + 146*z**2 = 0. Calculate z.
-2/7, 1, 41
Let j(y) be the third derivative of -19*y**6/4 + 233*y**5/12 - 155*y**4/6 + 25*y**3/6 + y**2 - 1999*y. Factor j(x).
-5*(x - 1)**2*(114*x - 5)
Let a(l) be the third derivative of 2*l**7/35 - 34*l**6/105 - 67*l**5/35 + 34*l**4/21 + 40*l**3/7 + 1456*l**2. Find i such that a(i) = 0.
-2, -3/7, 2/3, 5
Let -162*d**3 - 293*d**4 - 165*d**2 + 97*d**4 + 199*d**4 = 0. Calculate d.
-1, 0, 55
Suppose 586*z - c = 577*z + 5, -5*z = -c + 7. Factor