8*a**3/27 - 9541921*a**2/9 + 13440*a. Let n(o) = 0. Calculate o.
-3089
Let p(v) be the second derivative of -18 - 7*v**3 + 1/6*v**4 - 22*v**2 - 2*v. Suppose p(l) = 0. Calculate l.
-1, 22
Let g(v) be the first derivative of -v**6/2520 - v**5/120 + 8*v**3/3 - 31. Let m(o) be the third derivative of g(o). Factor m(c).
-c*(c + 7)/7
Let p(t) be the second derivative of -2*t**7/21 - 2*t**6/3 + 32*t**5/5 - 12*t**4 + 580*t. Solve p(s) = 0.
-9, 0, 2
Suppose -32*p - 6*p**3 - 24*p**2 + 0 - 1/2*p**4 = 0. Calculate p.
-4, 0
Suppose f + 16 = 3*c + 1, 0 = -c + 10*f + 92. Factor c - 30/7*a + 18/7*a**2 - 2/7*a**3.
-2*(a - 7)*(a - 1)**2/7
Let r(c) be the second derivative of c**4/6 - 22*c**3/13 + 5*c**2/13 + 17*c - 11. Factor r(q).
2*(q - 5)*(13*q - 1)/13
Let u(p) be the first derivative of -1/2*p**4 + 0*p + 0*p**2 - 41 + 0*p**3 + 0*p**5 + 1/3*p**6. Suppose u(k) = 0. Calculate k.
-1, 0, 1
Suppose -74*n + 1089 = 252*n - 215. Factor 2/3*c**2 + 0*c + 0 + 0*c**3 - 2/3*c**n.
-2*c**2*(c - 1)*(c + 1)/3
Factor -2/7*z**3 + 2/7*z + 10/7 - 10/7*z**2.
-2*(z - 1)*(z + 1)*(z + 5)/7
Let o(d) be the first derivative of -10*d**2 - 5/2*d**4 + 0*d + d**5 + 21 - 35/3*d**3. Let o(x) = 0. What is x?
-1, 0, 4
Let a(d) be the first derivative of -9*d + 4*d**3 + 52 + 33/2*d**2. Solve a(r) = 0.
-3, 1/4
Let d be 4/(24/63) - 6/4. Let u(g) = -52*g**3 + 2*g**2 + 2*g - 2. Let r(n) = n**4 + 209*n**3 - 9*n**2 - 9*n + 9. Let l(i) = d*u(i) + 2*r(i). Factor l(f).
2*f**3*(f - 25)
Suppose 3 = m + 1. Let h = 1431283/5 - 286253. Suppose 2/5 - m*w + h*w**2 - 14/5*w**3 + 4/5*w**4 = 0. Calculate w.
1/2, 1
Let g(j) = -5*j + 128. Let q be g(25). Suppose -q*v + 7*v = -20, -23 = m + 5*v. Factor -3/5*l**m + 0*l + 0 + 3/5*l**3.
3*l**2*(l - 1)/5
Let q = -372299 + 1116905/3. Factor q*r + 2/9*r**2 + 6.
2*(r + 3)*(r + 9)/9
Let o(g) be the third derivative of g**8/1344 - 3*g**6/80 - 2*g**5/15 - 5*g**4/32 + 1153*g**2. Factor o(c).
c*(c - 5)*(c + 1)**2*(c + 3)/4
Factor 382 - 3*u**2 - 391 - 663*u + 651*u.
-3*(u + 1)*(u + 3)
Factor -111/2*r**2 - 1/4*r**3 - 486 - 1305/4*r.
-(r + 3)**2*(r + 216)/4
Let n(l) be the third derivative of 0 + 30*l - 9/8*l**4 + 5/2*l**3 + 3/20*l**5 - l**2 + 1/40*l**6. Factor n(o).
3*(o - 1)**2*(o + 5)
Let k be -18 + (-159)/53 + 31. Factor -2/13*b**3 + k*b**2 - 2046/13*b - 2178/13.
-2*(b - 33)**2*(b + 1)/13
Let o(n) be the third derivative of -n**5/75 - 184*n**4/5 - 203136*n**3/5 - 1073*n**2. Determine f so that o(f) = 0.
-552
Let y(d) be the third derivative of -8/21*d**3 + 1/42*d**4 + 23 + 0*d + d**2 + 1/210*d**5. Factor y(i).
2*(i - 2)*(i + 4)/7
Let g = -630 - -8811/14. Let u = g + 22/7. Factor u*p**2 + p + 0.
p*(5*p + 2)/2
Solve 3602 - 4080*h - 3975*h**2 + 2197 + 3980*h**2 + 2341 = 0 for h.
2, 814
Let y(d) be the first derivative of -1/18*d**6 + 2/9*d**3 - 14 - 2/5*d**5 + 4/3*d + 3/2*d**2 - 2/3*d**4. What is p in y(p) = 0?
-4, -1, 1
Suppose -l - 3 = -s + 4*l, -5*s + l + 15 = 0. Solve 29 + s - 4*p**3 - 7030*p + 40*p**2 + 6962*p = 0 for p.
1, 8
Let h(g) be the first derivative of -g**5/140 + g**4/28 + 4*g**3/7 - 15*g**2 - 2*g + 4. Let l(o) be the second derivative of h(o). Factor l(y).
-3*(y - 4)*(y + 2)/7
Let f(h) be the first derivative of -4*h**5/5 + 16*h**4 + 4*h**3/3 - 32*h**2 + 2642. Suppose f(d) = 0. Calculate d.
-1, 0, 1, 16
Find g, given that -1404/11*g + 486/11 - 6/11*g**4 + 92/11*g**3 - 192/11*g**2 = 0.
-3, 1/3, 9
Suppose 306 = 2*u - 420. Factor u - 84*i**2 + 15*i**2 - 3*i**3 - 392*i + 6*i**2 + 95*i.
-3*(i - 1)*(i + 11)**2
Let r(b) be the second derivative of 7*b**5/150 + b**4/20 + 20*b**2 - 73*b. Let w(t) be the first derivative of r(t). What is d in w(d) = 0?
-3/7, 0
Let z(v) = v**3 + 2*v**2 + v. Let p be z(-1). Let b be ((-12)/21)/(240/(-616)) + 326/(-489). Factor p*n - 4/5*n**5 + 8/5*n**4 - b*n**3 + 0 + 0*n**2.
-4*n**3*(n - 1)**2/5
Let h(i) be the first derivative of -i**3/6 - i**2 + 30*i + 1672. Suppose h(d) = 0. Calculate d.
-10, 6
Let a(w) be the first derivative of w**6/2 - 57*w**5/5 + 237*w**4/4 + 207*w**3 - 1620*w**2 - 3564*w + 1101. Suppose a(i) = 0. What is i?
-3, -1, 6, 11
Let g(f) be the second derivative of 11*f**5/60 - 205*f**4/72 + 61*f**3/36 + 3*f**2/2 + 5457*f. Factor g(t).
(t - 9)*(2*t - 1)*(11*t + 2)/6
Suppose 82821 - 82717 = 52*f. Find g, given that -20/7 + 36/7*g - 12/7*g**f - 4/7*g**3 = 0.
-5, 1
Let k(i) be the second derivative of -i**8/10080 + 4*i**7/945 - i**6/24 - 9*i**5/10 - 21*i**4/4 - 34*i. Let z(p) be the third derivative of k(p). Factor z(w).
-2*(w - 9)**2*(w + 2)/3
Let x(j) = -j + 1. Let b = -41 - -47. Suppose 0 = -o + 2*g - b, 5*o - 30 - 10 = -4*g. Let d(f) = -f**3 - 3*f**2 + f - 5. Let i(h) = o*x(h) + d(h). Factor i(q).
-(q + 1)**3
Suppose 2*d = 0, -17*d + 12*d + 1 - 5 = -2*q. Let m(j) be the second derivative of -j**3 - 1/12*j**4 - 9/2*j**q - 30*j + 0. Factor m(g).
-(g + 3)**2
Let y(f) = f**3 + 9*f**2 + 6*f - 17. Let u be y(-7). Determine p so that 16*p + 74 + 6*p + 2*p**2 - 76 - u*p**3 + 17*p = 0.
-1, 2/39, 1
Let k be -26 - -24 - 554/4. Let r = -2515/18 - k. What is a in r*a - 2/9 - 4/9*a**2 - 4/9*a**3 = 0?
-2, 1/2
Factor -15*r**3 - 108*r**2 - 2187/2 + 3/2*r**4 + 1215*r.
3*(r - 9)**2*(r - 1)*(r + 9)/2
Let r(z) be the second derivative of 121*z**4/15 + 154*z**3/15 + 49*z**2/10 - 17*z - 6. Factor r(y).
(22*y + 7)**2/5
Let z(a) be the first derivative of a**4/24 - a**3/6 - 75*a**2/4 - 221*a/6 + 3326. Factor z(m).
(m - 17)*(m + 1)*(m + 13)/6
Factor 81/2*l**2 + 0 + 3/2*l**4 - 15*l**3 - 27*l.
3*l*(l - 6)*(l - 3)*(l - 1)/2
Let h(o) = -10*o**3 - 2*o**2 + 124*o - 112. Let r(k) = -92*k**3 - 16*k**2 + 1116*k - 1008. Let j(l) = 28*h(l) - 3*r(l). Factor j(v).
-4*(v - 4)*(v - 1)*(v + 7)
Let n = 3 - 10. Let r(w) = 22*w**2 + 195*w. Let b(m) = -15*m**2 - 130*m. Let h(g) = n*b(g) - 5*r(g). Suppose h(a) = 0. Calculate a.
-13, 0
Let a(v) be the third derivative of -1/150*v**6 + 17*v**2 - 14/75*v**5 + 0*v + 0*v**4 + 0*v**3 + 0. Factor a(w).
-4*w**2*(w + 14)/5
Let t(m) = -2*m**5 - 4395*m**4 + 963593*m**3 + 967993*m**2 - 7*m + 7. Let r(p) = p**5 + p**3 + p**2 + p - 1. Let w(c) = 7*r(c) + t(c). Factor w(o).
5*o**2*(o - 440)**2*(o + 1)
Let k(z) be the second derivative of 9/4*z**2 + 1/24*z**4 - 137*z + 0 + 1/2*z**3. Factor k(m).
(m + 3)**2/2
Let z be 14/((-1250)/100 + 16). Let 1/2*c**z - 5/2*c**2 - c**3 + 3*c + 0 = 0. What is c?
-2, 0, 1, 3
Let a(d) be the first derivative of -28*d**5/5 + 12*d**4 + 128*d**3/3 - 96*d**2 - 64*d - 738. What is t in a(t) = 0?
-2, -2/7, 2
Find d such that -10404/11 - 4794/11*d + 2/11*d**5 + 964*d**2 + 4792/11*d**3 - 200/11*d**4 = 0.
-2, -1, 1, 51
Let q(d) be the first derivative of 225/8*d**2 - 5/12*d**3 - 215/2*d - 112. Factor q(w).
-5*(w - 43)*(w - 2)/4
Factor 5604552 - i**3 - 7271*i**2 + 10621*i**2 - 3210124*i + 401152*i.
-(i - 1674)**2*(i - 2)
Let p = -114 - -124. Factor 6 + 5*v + 12*v**2 + 0 - 3*v**2 - 3*v**3 - 3*v**4 + p*v.
-3*(v - 2)*(v + 1)**3
Let -741/2*w - 3/2*w**2 + 2277 = 0. Calculate w.
-253, 6
Let d(w) be the second derivative of 11/20*w**5 + 0 + 0*w**2 - 1/2*w**4 + 1/42*w**7 + 0*w**3 - 1/5*w**6 - 61*w. Factor d(k).
k**2*(k - 3)*(k - 2)*(k - 1)
Let x be (-40)/(((-13)/3)/13). Find q such that 681*q**2 - 116*q**4 + 395*q**2 + 16*q**5 - x - 1107*q**3 + 101*q**3 + 552*q**4 - 124*q - 278*q**3 = 0.
-30, -1/4, 1
Factor -4/7*y**3 + 548*y - 1920/7 - 1912/7*y**2.
-4*(y - 1)**2*(y + 480)/7
Let g be (1/((-1)/3))/((-25)/150). Let q(t) = -g*t**3 - 4 + 3 - 9 - 6*t + 26*t**3. Let w(v) = 17*v**3 - 12*v - 21. Let y(j) = 13*q(j) - 6*w(j). Factor y(f).
2*(f - 2)*(f + 1)**2
Let l(x) = x**5 + 23*x**4 - 22*x**3 + 2*x**2 + 21*x - 5. Let z(w) = w**5 + 2*w**4 - w**3 + 2*w**2 + 1. Let d(q) = -l(q) + 4*z(q). Factor d(c).
3*(c - 3)*(c - 1)**3*(c + 1)
Let x(s) be the first derivative of s**4/3 - 464*s**3/9 + 440*s**2 + 2753. Determine c, given that x(c) = 0.
0, 6, 110
Let d(u) = 4410*u**2 - 562*u + 26. Let f(s) = 13226*s**2 - 1685*s + 82. Let m(b) = -14*d(b) + 4*f(b). Factor m(w).
-4*(47*w - 3)**2
Find s, given that -13182*s**3 + 13178*s**3 + 3538944000 - 8853615*s + 11520*s**2 - 2205585*s = 0.
960
Let g = -12 + -46. Let i = 62 + g. Let -3*k**2 + 11*k**2 - 6*k**2 - i + 2*k = 0. Calculate k.
-2, 1
Let 218/9*y**3 - 4/3*y**2 + 16/9 - 296/9*y + 74/9*y**4 = 0. Calculate y.
-2, 2/37, 1
Let g(k) be the first derivative of k**6/12 - 8*k**5/15 + 7*k**4/12 + 2*