- 3/7*c**4 - 2160/7*c**2 + 42*c**3.
-3*c**2*(c - 90)*(c - 8)/7
Let t(o) be the second derivative of -o**7/21 + 7*o**6/15 - o**5 - o**4/3 + 11*o**3/3 - 5*o**2 - 9613*o. Factor t(j).
-2*(j - 5)*(j - 1)**3*(j + 1)
Suppose 0 = -41*j + 54*j - 8398. Let x = -4506/7 + j. Factor 92/7*u + 24/7 - 20/7*u**2 - x*u**3.
-4*(u - 2)*(u + 3)*(4*u + 1)/7
Let c(u) be the second derivative of 0 + 8*u**2 + 4/15*u**6 + 1/21*u**7 - 5/3*u**4 - 4/3*u**3 + 1/10*u**5 + 29*u. Factor c(s).
2*(s - 1)**2*(s + 2)**3
Let w(l) be the first derivative of l**8/560 + 4*l**3 - 3*l**2/2 - 67. Let d(g) be the third derivative of w(g). Factor d(n).
3*n**4
Let t = -144115/2 - -72059. Let z = 27/8 + -3. Let 15/8 + t*g - z*g**2 = 0. What is g?
-1, 5
Let n = 740 - 724. Factor 1267 + w**5 + 112*w - 1315 - 11*w**4 + 48*w**3 - n*w**2 - 88*w**2.
(w - 3)*(w - 2)**4
Let d be 234/57 + 6/(-57). Suppose 5*r - 7*r + 3*f = -16, 4*r + d*f = -8. Factor -1 - 1/4*x**r + 5/4*x.
-(x - 4)*(x - 1)/4
Suppose -16*f - 127 = -463. Let -f + 5 - 14 + 9*v**2 + 87*v + 0 = 0. What is v?
-10, 1/3
Let v be (413/(-236))/((-372)/66 + 5). Suppose 1 - v*f - 1/4*f**3 - 1/4*f**4 + 9/4*f**2 = 0. What is f?
-4, 1
Let n(f) be the first derivative of f**8/4200 - f**7/1050 + f**6/900 + 137*f**3/3 - 78. Let v(r) be the third derivative of n(r). Find o, given that v(o) = 0.
0, 1
Let g be (2/(-2))/(4/(-48)). Suppose -13*f = -g*f - 52. Find l such that -44 + 51 - 35*l**2 + 5*l**3 - f + 75*l = 0.
1, 3
Factor -3/2*g - 13/8*g**2 - 1/2 - 1/8*g**4 - 3/4*g**3.
-(g + 1)**2*(g + 2)**2/8
Factor -19*f - 111*f + 4*f**3 - 128*f**2 + 8664 + 316*f + 346*f.
4*(f - 19)**2*(f + 6)
Factor 46/3*b + 116/3 - 2*b**2.
-2*(b + 2)*(3*b - 29)/3
Suppose 117*g**2 + 3/4*g**3 + 6084*g + 105456 = 0. Calculate g.
-52
Suppose 2 = -11*w + 24. Factor -30*g**3 + 5*g - 76*g**w - 24*g**3 - 16*g**4 - 61*g - 27 - 2*g**5 + 4*g**3 + 11.
-2*(g + 1)**2*(g + 2)**3
Let r = -97 + 107. Determine n so that -30*n**2 + 30*n**4 - r*n**5 - 7*n**3 - 9*n**3 + 59*n - 19*n + 5*n**5 - 19*n**3 = 0.
-1, 0, 1, 2, 4
Let l be ((-1338)/336 - -4)/((-60)/(-208)). Let v(n) be the third derivative of -11/420*n**6 - l*n**5 + 18*n**2 + 0*n**3 - 1/42*n**4 + 0*n + 0. Factor v(z).
-2*z*(z + 1)*(11*z + 2)/7
Let y(g) be the second derivative of -g**5/100 - g**4/30 + 13*g**3/30 - g**2 - 182*g - 6. Suppose y(d) = 0. What is d?
-5, 1, 2
Let h(o) be the third derivative of -o**7/105 + 43*o**6/60 + 3*o**5/2 - 43*o**4/12 - 44*o**3/3 - 11937*o**2. Factor h(c).
-2*(c - 44)*(c - 1)*(c + 1)**2
Let y be 6 - (-7 - -3 - -9). Let c be y/(4/(-6)) - (-225)/150. Factor 0*j**2 - 1/2*j**5 + 0*j + 0 + c*j**3 + 2*j**4.
-j**4*(j - 4)/2
Let d be 62 + 1 - (-34770)/(-570). Find h, given that -1/3*h + 1/6*h**5 + 5/6*h**d - 1/6*h**4 - 1/2*h**3 + 0 = 0.
-2, 0, 1
Let g(z) be the third derivative of -z**5/15 + 16*z**4/3 - 168*z**3 + 2*z**2 - 7*z - 33. Solve g(m) = 0.
14, 18
Let z(a) be the third derivative of -a**8/40320 + a**7/3360 - 7*a**5/5 - 50*a**2 + 2. Let y(r) be the third derivative of z(r). Factor y(v).
-v*(v - 3)/2
Let q(k) be the second derivative of -k**4/3 + 109*k**3 - 163*k**2 + 5437*k. Let q(b) = 0. What is b?
1/2, 163
Suppose 18 = -2*u + 22. Factor -217 + 193 - 80*a - 376 - 6*a**2 + u*a**2.
-4*(a + 10)**2
Let r(b) = -b**4 - b**3 + 1. Let m(g) = 12*g**4 - 24*g**3 + 98*g**2 - 64*g - 11. Suppose -775 - 1513 = -52*t. Let f(i) = t*r(i) + 4*m(i). Factor f(a).
4*a*(a - 32)*(a - 2)*(a - 1)
Let z = 586 + -582. Let h(a) be the third derivative of -1/144*a**6 - 1/60*a**5 + 0 + 0*a + 1/36*a**z + 2/9*a**3 - 1/1260*a**7 - a**2. Solve h(r) = 0.
-2, 1
Let l(f) = 7*f**2 - 17*f - 34. Let k(b) = -48*b**2 + 117*b + 237. Let w be (-2 - 3) + -2 + 1 - -2. Let t(q) = w*k(q) - 27*l(q). Factor t(m).
3*(m - 5)*(m + 2)
Suppose -1326*m + 1327*m - 4 = 1. Let w(y) be the second derivative of 0*y**3 + 0*y**2 + 0*y**4 + 13*y + 0 - 1/10*y**6 + 1/14*y**7 + 0*y**m. Factor w(s).
3*s**4*(s - 1)
Let p(r) be the second derivative of 41*r**4/2 + 175*r**3/2 + 33*r**2 - 104*r - 46. Factor p(w).
3*(w + 2)*(82*w + 11)
Find f such that -6*f**4 - 318*f**2 - 244/3*f**3 - 495*f - 252 + 1/3*f**5 = 0.
-3, -1, 28
Let k(z) be the first derivative of 1/120*z**5 - 1/240*z**6 + 0*z + 0*z**3 + 0*z**4 + 17/2*z**2 + 7. Let o(c) be the second derivative of k(c). Factor o(d).
-d**2*(d - 1)/2
Let z be 2/(-10) - ((-2528)/40 - 0). Let s be (18/z)/(8/84). Factor 9/4*h**2 + 3*h - 3*h**s + 3/4*h**4 - 3.
3*(h - 2)**2*(h - 1)*(h + 1)/4
Let o = 22792/4155 + 760/831. Determine p so that -32/5*p**3 + 4/5*p**4 + 44/5*p**2 + o*p - 48/5 = 0.
-1, 1, 2, 6
Let t(s) be the first derivative of 5/2*s**2 + 89 - 22/9*s - 2/27*s**3. Let t(b) = 0. Calculate b.
1/2, 22
Let z(q) be the first derivative of -q**6/3 + 28*q**5/5 - 7*q**4/2 - 52*q**3 - 460. Let z(n) = 0. What is n?
-2, 0, 3, 13
Let a(t) be the second derivative of 3*t**6/80 - t**5/6 + t**4/12 - 24*t**2 - 4*t + 2. Let w(d) be the first derivative of a(d). Factor w(k).
k*(k - 2)*(9*k - 2)/2
Let v be ((-2)/(-4))/(3/24). Let w(f) be the third derivative of 1/12*f**v - 4/15*f**3 + 0*f - 1/150*f**5 + 13*f**2 + 0. Factor w(c).
-2*(c - 4)*(c - 1)/5
Let m be ((-18)/(-10))/3*5. Let f(l) = -3*l**2 - 9*l. Let t(a) = 6*a**2 + 17*a + 1. Let i = 4472 + -4467. Let b(v) = i*f(v) + m*t(v). Factor b(d).
3*(d + 1)**2
Let n(o) be the third derivative of -147*o**2 - 3/20*o**6 + 0 + 0*o + 0*o**3 - 1/105*o**7 + 25/12*o**4 - 1/2*o**5. Let n(k) = 0. Calculate k.
-5, 0, 1
Let d(b) be the first derivative of b**6/15 - 158*b**5/25 + 275*b**4/2 - 4598*b**3/5 - 3897. Solve d(g) = 0.
0, 11, 57
Suppose -5*s + 14 = -3*n, -2*n + 24 = 5*s - 0*s. Suppose -4*o + 15*o + 549 = 582. Factor 1/3*u**s + 0 + 5/3*u**o + 4/3*u + 8/3*u**2.
u*(u + 1)*(u + 2)**2/3
Factor 0*o + 0 + 2/5*o**4 + 0*o**2 + 4/5*o**3 - 2/5*o**5.
-2*o**3*(o - 2)*(o + 1)/5
Let u(l) be the first derivative of -3*l**5 - 1195*l**4/4 - 30320*l**3/3 - 117760*l**2 + 81920*l - 6060. Determine g so that u(g) = 0.
-32, -16, 1/3
Let s be (-97)/(-97)*4/6. Factor 0*m - s*m**5 + 0 + 0*m**2 - 2*m**3 - 8/3*m**4.
-2*m**3*(m + 1)*(m + 3)/3
Let m(f) = f**2 - 2889*f + 14420. Let a be m(5). Solve 1/5*o**3 - 1/5*o**2 + 0 + a*o = 0 for o.
0, 1
What is i in 1/5*i**4 + 539415333601/5 + 3428/5*i**3 + 2517691172/5*i + 4406694/5*i**2 = 0?
-857
Let c(g) be the second derivative of -g**4/28 - 33*g**3/7 + 204*g**2/7 - 201*g - 3. Factor c(z).
-3*(z - 2)*(z + 68)/7
Let a = -71889 + 71889. Suppose 0*y**3 + 0 + a*y + 0*y**2 + 11/3*y**5 + 2/3*y**4 = 0. What is y?
-2/11, 0
Let h be -9*(-10*(-16)/(-480) - 3/(-6)*0). Suppose 0*o + 2/9*o**4 + 2/9*o**h + 0 - 4/9*o**2 = 0. What is o?
-2, 0, 1
Let z(h) = 3*h - 20. Let t be z(21). Solve -68 + 21*q**2 - 92*q**4 - 9*q**3 + 46*q**4 + 14 + t*q**4 + 45*q = 0 for q.
-3, 1, 2
Let w = -1/153114 + 306245/2602938. Factor 6/17*s - w*s**2 - 4/17.
-2*(s - 2)*(s - 1)/17
Suppose 4*k = 5*k - 6. Suppose -175 = -k*l + l. Determine d so that 4*d**4 - 2*d**5 - 6*d**3 - l*d + 29*d - 4*d**2 + 8*d**3 + 6*d**3 = 0.
-1, 0, 1, 3
Suppose -129 + 175 = 24*f - f. Factor 4/5 - f*m**2 + 6/5*m.
-2*(m - 1)*(5*m + 2)/5
Let p be (1/(-4) - (-12 - (-92597)/620))*215/(-18). Solve p - 344/9*i + 2/9*i**2 = 0.
86
Let p(h) = 24*h**4 - 60*h**3 - 9*h**2 + 50*h + 5. Let k(d) = -14*d**4 + 30*d**3 + 5*d**2 - 24*d - 3. Let u(z) = 5*k(z) + 3*p(z). Factor u(t).
2*t*(t - 15)*(t - 1)*(t + 1)
Let s = 1/220418 - -110207/440836. Find b, given that -49/4*b + 11/2*b**4 + 112*b**2 - 83/2*b**3 - 343/2 - s*b**5 = 0.
-1, 2, 7
Let h = 3545864/5 - 709168. Factor h*v + 4/5*v**4 - 4*v**2 + 0 - 8/5*v**3.
4*v*(v - 3)*(v - 1)*(v + 2)/5
Let s(j) be the first derivative of -j**8/840 + 3*j**7/560 - j**6/120 + j**5/240 + 7*j**3/3 + 64. Let h(r) be the third derivative of s(r). Factor h(l).
-l*(l - 1)**2*(4*l - 1)/2
Let 0*c + 4/13*c**2 - 2/13*c**3 + 0 = 0. What is c?
0, 2
Let o = -1307 - -1310. Let h(x) be the second derivative of -1/21*x**7 - 6/5*x**5 + 0*x**2 + x + 0 - 2/5*x**6 + 0*x**o - 4/3*x**4. Factor h(l).
-2*l**2*(l + 2)**3
Let b(z) be the second derivative of 36*z**2 + 13/6*z**4 + z**5 + 0 + 1/15*z**6 - 20*z**3 + 129*z. Factor b(j).
2*(j - 1)**2*(j + 6)**2
Suppose 4*v - o = -2, -755*v + 10 = -759*v + 5*o. Let k(b) be the second derivative of -3*b + 11/23*b**2 + v + 4/23*b**3 + 1/138*b**4. Factor k(i).
2*(i + 1)*(i + 11)/23
Let v(i) be the first derivative of -57 + 11/8