 0.
-2/19
Let i(r) be the third derivative of -r**7/630 - 53*r**6/180 - 1003*r**5/60 - 289*r**4/2 + r**2 + 399*r - 1. Factor i(c).
-c*(c + 4)*(c + 51)**2/3
Let r(g) be the second derivative of g**5/35 - 2*g**4/21 - 32*g**3/7 + 10700*g. Let r(n) = 0. What is n?
-6, 0, 8
Let t(c) be the second derivative of c + 1/80*c**5 - 21 - 1/16*c**3 - 1/48*c**4 + 1/80*c**6 - 1/16*c**2 + 1/336*c**7. Factor t(v).
(v - 1)*(v + 1)**4/8
Suppose 0 = 22*z - 983 + 367. Let n be 24*(-23)/((-3381)/z). Factor -n*p**3 - 16*p**2 - 50/7*p - 6/7.
-2*(p + 3)*(4*p + 1)**2/7
Let 69312/7 + 3/7*o**4 - 139536/7*o - 918/7*o**3 + 71139/7*o**2 = 0. What is o?
1, 152
Let n be 88/16*140/2310. Factor -n*z**2 + 4 - 4/3*z.
-(z - 2)*(z + 6)/3
Let r be ((-2 - -3)/(-2))/((-20)/(-200)). Let d be (5 + r - 0)*-1. Factor 0*v + d - 4/13*v**2 - 6/13*v**3 - 2/13*v**4.
-2*v**2*(v + 1)*(v + 2)/13
Let n(j) = -4374 + 8686 - 4408 - 49*j. Let z be n(-2). Factor -1/7*u - 2/7 + 1/7*u**z.
(u - 2)*(u + 1)/7
Let i = -142877/6 + 71671/3. Factor b**2 - 39 + i*b.
(b + 78)*(2*b - 1)/2
Let l(d) be the first derivative of 36/35*d**5 - 1/14*d**2 + 0*d - 29 + 13/21*d**3 - 12/7*d**4. Suppose l(f) = 0. What is f?
0, 1/6, 1
Let n(j) = j**2 + 1. Let w(z) = -30*z**2 + 35*z - 75. Suppose -2*u - 2*l - 10 = 0, u + 0*u = l + 3. Let b(d) = u*w(d) - 25*n(d). Factor b(q).
5*(q - 5)*(q - 2)
Let s be 2288/(-72) + 12/(-54). Let l be (s/40)/(-1 - (-6)/10). Factor -3/4*f**4 + 0 + 3/4*f**3 + 1/4*f**5 + 0*f - 1/4*f**l.
f**2*(f - 1)**3/4
Let 3/5*p**5 + 0 + 5238/5*p**2 + 564/5*p**4 + 0*p - 693*p**3 = 0. Calculate p.
-194, 0, 3
Let h(j) be the third derivative of 1331*j**6/3 + 605*j**5 + 1375*j**4/4 + 625*j**3/6 + 29*j**2 - 16*j - 2. Factor h(i).
5*(22*i + 5)**3
Let f be (((-5)/4)/1)/(16 + (-610)/24 + 9). Factor -18/11*w**2 - 2/11*w**f + 2/11*w**4 + 0 + 18/11*w.
2*w*(w - 3)*(w - 1)*(w + 3)/11
Let i(l) be the third derivative of -l**5/60 - 118*l**4/3 - 111392*l**3/3 + 71*l**2 - l - 4. Factor i(c).
-(c + 472)**2
Factor -3*v**2 - v**2 + 24 - 37*v + 6*v + 5*v + 6*v.
-4*(v - 1)*(v + 6)
Let j(a) be the first derivative of -22 - 1/18*a**4 + 0*a**2 + 0*a**3 + 6*a. Let u(n) be the first derivative of j(n). What is q in u(q) = 0?
0
Suppose 2*q = -2*g + 78, 4*g - 201 = -11*q + 16*q. Suppose -59*s = -81*s + g. Let -3/5*x**3 - 9/5*x + 0 + 12/5*x**s = 0. What is x?
0, 1, 3
Let b be (-6303)/(-4011)*49/462. Factor -b*m**4 - 50/3*m + 0 - 65/6*m**2 - 7/3*m**3.
-m*(m + 4)*(m + 5)**2/6
Let g(a) be the first derivative of a**7/2100 - a**5/100 - a**4/30 - a**3/3 + 7*a + 87. Let v(j) be the third derivative of g(j). Factor v(o).
2*(o - 2)*(o + 1)**2/5
Let n(a) = -a**3 - a - 1. Let t be (11 - 6) + -9 - -9. Let g(i) = i**3 + 76*i**2 + 169*i + 89. Let l(d) = t*n(d) + g(d). Find k such that l(k) = 0.
-1, 21
Let u(r) be the third derivative of -r**7/5670 + r**6/1620 + r**4/4 - 30*r**2. Let k(b) be the second derivative of u(b). What is w in k(w) = 0?
0, 1
Suppose 3*s - 25 = -p, -3111*s + 3109*s + 4*p = 30. Let -16/5*x**4 - 40*x**2 + 1/5*x**s + 18*x**3 + 25*x + 0 = 0. What is x?
0, 1, 5
Let i(s) be the first derivative of 240*s**3 - 14*s**4 + 4/15*s**5 - 79 - 900*s**2 - 13500*s. Suppose i(p) = 0. Calculate p.
-3, 15
Let d be 3969/231 - 2/11. Suppose -53*q - 17 + d = 0. Solve q*l - 6/5*l**2 - 2/5*l**3 + 8/5 = 0.
-2, 1
Let x be 9/36*-8 + (-156)/(-66). Solve -2/11*q**5 + 0 + 2/11*q**4 - 10/11*q**2 + 6/11*q**3 + x*q = 0.
-2, 0, 1
Let o = 25058 - 25055. Find t such that 2/5*t**2 - 2/15*t**o + 2/15*t - 4/15*t**4 - 2/15 = 0.
-1, 1/2, 1
Let -80 + 2*v**2 - 123/2*v = 0. What is v?
-5/4, 32
Let q(i) = -8*i**3 + 16*i**2 + 114*i + 104. Let n(m) = -26*m**3 + 48*m**2 + 341*m + 316. Let s(z) = -2*n(z) + 7*q(z). Factor s(f).
-4*(f - 8)*(f + 1)*(f + 3)
Let i be 9*2*38/(-646). Let a = i + 53/34. Factor -a*g**2 - 1/4*g**3 + 3/4*g + 0.
-g*(g - 1)*(g + 3)/4
Let t(k) be the first derivative of -k**8/8400 - k**7/4200 + 2*k**3 - 139. Let x(o) be the third derivative of t(o). What is c in x(c) = 0?
-1, 0
Let r = -9819111/7 - -1402731. Factor 1/7*g**4 - 32/7 + g**3 + r*g**2 - 32/7*g.
(g - 2)*(g + 1)*(g + 4)**2/7
Let a(g) be the third derivative of -5*g**8/336 - 5*g**7/21 + 29*g**6/24 + 87*g**5/2 + 405*g**4/2 - 1260*g**3 - 245*g**2 - g + 2. Suppose a(i) = 0. What is i?
-6, 1, 7
Factor 180*z - 1591/4*z**2 + 3600 - 20*z**3 - 1/4*z**4.
-(z - 3)*(z + 3)*(z + 40)**2/4
Let w be 48 - 69/(6003/3944). Factor w - 1/6*a**2 - 5/2*a.
-(a - 1)*(a + 16)/6
Let l(w) be the third derivative of w**6/660 - 9*w**5/110 + 21*w**4/22 + 1292*w**2. Factor l(k).
2*k*(k - 21)*(k - 6)/11
Let t(o) be the third derivative of 5*o**6/24 - 7*o**5/12 + 49*o**4/96 - 98*o**2. Find h, given that t(h) = 0.
0, 7/10
Suppose -h = s - 8, 11*h + 3*s = 7*h + 28. Suppose -4*z - 20 = -0*z, h*z + 18 = -a. Find g, given that 4/3 + 16/3*g**3 + 16/3*g + 8*g**a + 4/3*g**4 = 0.
-1
Let i(r) = -r + 1. Let s(g) = 28*g - 84. Let h(q) = -84*i(q) - s(q). Let u be h(1). Factor -u*n + 61 + 127 + 4*n**2 + 8.
4*(n - 7)**2
Determine i, given that 143641/2 - 144399/2*i + 759/2*i**2 - 1/2*i**3 = 0.
1, 379
Let a = -289 - -295. Suppose 0 = 4*b + i - 11, 5*b - a*b + 3*i - 7 = 0. Factor 0*y + 0 - 1/2*y**4 - 2*y**b + 2*y**3.
-y**2*(y - 2)**2/2
Let j(y) be the third derivative of y**7/35 - 73*y**6/40 + 7*y**5/4 + 9*y**4/2 + 7*y**2 + 117*y. Factor j(i).
3*i*(i - 36)*(i - 1)*(2*i + 1)
Let w be (7*1)/(-7 + 8). Suppose -w*m + 85 = -223. Factor 20 - 23*b**2 - 120*b + 24*b**2 + m*b**2 + 10*b**2.
5*(b - 2)*(11*b - 2)
Let b(i) = i**5 - 64*i**4 + 249*i**3 - 238*i**2 + 61*i. Let f(v) = 16*v**4 - 62*v**3 + 60*v**2 - 16*v. Let p(o) = -2*b(o) - 9*f(o). Solve p(l) = 0 for l.
-11, 0, 1
Let z be 1 + 124/40 + (16 - (-936)/(-60)). Factor z*d**2 - 3/2*d**3 + 3/2 - 9/2*d.
-3*(d - 1)**3/2
Let y(q) be the second derivative of 0*q**2 - 36/5*q**6 + 33/5*q**5 - 46 - q + 2/3*q**7 + 0*q**3 + 14/3*q**4. Suppose y(d) = 0. Calculate d.
-2/7, 0, 1, 7
Let u(h) be the first derivative of 1/12*h**4 + 8/3*h + 7/9*h**3 + 30 + 7/3*h**2. Factor u(j).
(j + 1)*(j + 2)*(j + 4)/3
Suppose 5*f = 2*y - 39 + 38, -5*f + 14 = 3*y. Let u be f - -4 - (-22 + 27). Let 3/4*x**2 + 39/8*x**4 - 3/2*x**5 - 33/8*x**3 + 0 + u*x = 0. What is x?
0, 1/4, 1, 2
Let r = 464 + -462. Factor 2*y**3 - 29*y**r + 3*y**3 - y**3 - 32*y + 0*y**3 + y**2.
4*y*(y - 8)*(y + 1)
Let v(x) = -3*x - 7. Let o be -7*1/2 + 1/2. Let f be v(o). Factor c - c**2 + 3*c**2 - c**f.
c*(c + 1)
Let q be ((-2)/(-2) - 2)*(-7 - 0). Suppose 9*d**2 + 1 + 5 - 9*d**2 - q*d + d**2 = 0. What is d?
1, 6
Find l such that 39/4*l**2 + 0 + 9/4*l**4 + 3/4*l**5 - 81/4*l**3 + 63/2*l = 0.
-7, -1, 0, 2, 3
Let g be (-6)/5*(-35)/(-6)*464/(-812). Factor -9/5*d**3 - 6/5*d**2 + 0 - 3/5*d**g + 0*d.
-3*d**2*(d + 1)*(d + 2)/5
Let w(z) be the third derivative of -z**7/1365 - 5*z**6/156 - 23*z**5/130 - 67*z**4/156 - 22*z**3/39 + 463*z**2 + z + 1. Factor w(v).
-2*(v + 1)**3*(v + 22)/13
Let l(w) be the second derivative of w**6/210 - 23*w**5/70 + 107*w**4/21 + 1175*w**3/21 + 1875*w**2/14 - 502*w - 1. Factor l(h).
(h - 25)**2*(h + 1)*(h + 3)/7
Let k(c) be the second derivative of c**5/10 - 46*c**4/3 + 355*c**3/3 - 264*c**2 + 3545*c. Factor k(h).
2*(h - 88)*(h - 3)*(h - 1)
Let w(h) be the first derivative of h**5/25 + 5*h**4/4 + 16*h**3/15 - 102*h**2/5 - 288*h/5 - 2355. Solve w(m) = 0.
-24, -2, 3
Solve 766/9*g - 85 - 1/9*g**2 = 0 for g.
1, 765
Suppose -4/3*k**3 - 8*k + 224/3 - 12*k**2 = 0. Calculate k.
-7, -4, 2
Let a(x) be the third derivative of -9*x + 24*x**3 + 0 + 23/5*x**5 + 52/3*x**4 - 3/10*x**6 + 4*x**2. Solve a(z) = 0 for z.
-2/3, 9
Factor -21*f - 15*f**2 - 1/9*f**4 + 0 - 3*f**3.
-f*(f + 3)**2*(f + 21)/9
Let w(o) be the first derivative of -90 + 2/9*o**3 - 1/12*o**4 + 0*o + 1/2*o**2. Find x, given that w(x) = 0.
-1, 0, 3
Let p(u) be the first derivative of -10*u**2 + 0*u - 28 + 45/4*u**4 + 80/3*u**3. Solve p(n) = 0.
-2, 0, 2/9
Let k(z) = z**2 - 5*z - 32. Let r be k(9). Suppose -198*m + 130*m + 676 + r*m**2 + 172*m = 0. Calculate m.
-13
Let h(l) = 5*l**3 + 30*l**2 + 75*l. Let v(w) = 16*w**3 + 92*w**2 + 226*w. Let q = 152 - 158. Let g(m) = q*v(m) + 20*h(m). Solve g(p) = 0.
-6, 0
Suppose 0 = 2*h - 20 - 28 + 42. Let n(y) be the first derivative of 0*y + 15 + 1/60*y**6 + 1/30*y**h + 0*y**2 + 3/40*y**4 + 3/50*y**5. Factor n(k).
k**2*(k + 1)**3/10
Suppose 0 + 12*n + 9*n**2 - 9*n**3 