e 45/2*u**t + 0 - 10*u + 5/2*u**4 - 15*u**3 = 0.
0, 1, 4
Let l(j) be the first derivative of -1/8*j**4 + 1/12*j**6 - 1/6*j**3 + 76 + 0*j + 0*j**2 + 1/10*j**5. Factor l(m).
m**2*(m - 1)*(m + 1)**2/2
Let f be -9*(228/(-54) - -4). Factor -51*t - 96*t**3 + 4*t**4 - 73*t**2 + 21*t - 38*t**f - 19*t**4.
-3*t*(t + 1)*(t + 5)*(5*t + 2)
Let u(f) be the third derivative of 1/100*f**5 + 0 - 20*f**2 + 13/5*f**3 + 0*f + 3/8*f**4. Factor u(d).
3*(d + 2)*(d + 13)/5
Let l be -6 + -1 - ((-8)/(-4) + -6). Let a(z) = -2*z**2 + 21*z - 19. Let x(p) = 3*p**2 - 21*p + 18. Let m(n) = l*x(n) - 4*a(n). Factor m(h).
-(h - 1)*(h + 22)
Let x be ((-25)/(-6))/(((-6075)/90)/(-135)). Determine v, given that -x*v**2 + 5/6*v**5 + 0*v + 0 + 145/6*v**3 - 26/3*v**4 = 0.
0, 2/5, 5
Let t(z) = -z**2 + 4*z - 12. Let d(r) = -r**2 + r - 1. Let l(c) = -7*c**2 + 26*c - 73. Let i(j) = d(j) - l(j). Let b(q) = 6*i(q) + 34*t(q). Factor b(w).
2*(w - 4)*(w - 3)
Let m(l) = l**4 + 26*l**3 + 9*l**2 - 15*l. Let z(s) = 4*s**4 + 98*s**3 + 36*s**2 - 61*s. Let h(w) = -22*m(w) + 6*z(w). Factor h(q).
2*q*(q - 1)*(q + 3)*(q + 6)
Let w be (30/(-6))/((-5700)/912). Factor w*t - 2/5 - 2/5*t**2.
-2*(t - 1)**2/5
Let n(b) = -1805*b**3 - 10250*b**2 - 20120*b - 12920. Let j(l) = -5*l**2 - l - 1. Let c(g) = 40*j(g) + n(g). Factor c(x).
-5*(x + 2)*(19*x + 36)**2
Suppose 34 = 5*d + 9. Factor -727*o**2 - 196*o**5 - 1744*o**3 + d*o - 261*o + 1879*o**2 + 1008*o**4.
-4*o*(o - 2)**2*(7*o - 4)**2
Let s(z) be the first derivative of -9/8*z**4 - 19/4*z**2 + 1/10*z**5 - 2 + 7/2*z**3 + 3*z. Factor s(d).
(d - 6)*(d - 1)**3/2
Let n be 19 - ((-6)/(-24) + (-2)/8). Let y = -19 + n. Factor -7*t - 2*t**2 - 12 + y*t - 3*t.
-2*(t + 2)*(t + 3)
Let m = -13 - 38. Let z be -1*m/18 - (-3)/18. Factor 3*g - 21*g**5 + 0*g - 8*g**z + 25*g**5 + g.
4*g*(g - 1)**2*(g + 1)**2
Let a(m) be the third derivative of -m**9/105840 + m**8/11760 + 3*m**5/4 + 3*m**2 - 23. Let j(p) be the third derivative of a(p). Factor j(h).
-4*h**2*(h - 3)/7
Let 108/5 - 9*v**3 - 756/5*v - 399/5*v**2 = 0. Calculate v.
-6, -3, 2/15
Let z(b) = -2*b + 2. Let q(p) = 0 + p + 3 - 2*p + 2*p - p**2 - 11. Let n(u) = -q(u) + 5*z(u). Factor n(i).
(i - 9)*(i - 2)
Let d(j) = j**4 - 147*j**3 - 701*j**2 - 1158*j - 584. Let u(w) = -2*w**3 + 7*w**2 + 2*w. Let y(m) = d(m) - 3*u(m). Let y(p) = 0. Calculate p.
-2, -1, 146
Let r = -1794 + 1797. Let k(b) be the second derivative of 0*b**r + 0 + 5/4*b**4 - 5*b - 5/2*b**2 - 1/2*b**5. Factor k(m).
-5*(m - 1)**2*(2*m + 1)
Suppose -z + 3*v = -23, -527*v = -3*z - 528*v - 1. Suppose 3*s**z - 4*s**3 - 3 + 0*s**4 + 7/2*s + 1/2*s**5 = 0. Calculate s.
-3, -1, 1, 2
Let w(d) be the third derivative of -d**5/60 - 1675*d**4/12 - 2805625*d**3/6 - 2*d**2 - 2620. Factor w(b).
-(b + 1675)**2
Let q(c) be the third derivative of -19*c**5/480 - 5*c**4/24 - c**3/12 - 8*c**2 - 14*c. Factor q(d).
-(d + 2)*(19*d + 2)/8
Let v(j) = -j**2 + 4*j + 14. Let p be v(6). Suppose 144*b - 142*b - 64 = 0. Factor -3*a**3 + 8*a**3 + b*a**2 - 30*a**p.
a**2*(5*a + 2)
Let w(f) be the third derivative of 41*f**2 + 1/3*f**5 + 5/24*f**4 + 0 - 5/2*f**3 + 0*f. Solve w(o) = 0 for o.
-1, 3/4
Let a(r) = r**3 + 2581*r**2 + 243683*r + 7716375. Let m(w) = -861*w**2 - 81228*w - 2572125. Let l(t) = -3*a(t) - 8*m(t). What is j in l(j) = 0?
-95
Suppose -24*l = -7*l - 114223. Factor 6719*f - 3*f**3 + 3*f**5 - l*f - 3*f**2 + 3*f**4.
3*f**2*(f - 1)*(f + 1)**2
Determine n so that -2/3*n**2 - 316*n + 0 = 0.
-474, 0
Let p(j) be the third derivative of -j**6/480 + j**5/60 + j**4/6 - 8*j**3/3 - 2*j**2 + j - 24. Factor p(s).
-(s - 4)**2*(s + 4)/4
Find l such that -65020*l**2 + 2126*l**3 - 98207*l**2 + 326827*l - 54423*l + 91204 - 3*l**4 - 4*l**4 = 0.
-2/7, 2, 151
Let h(r) be the second derivative of -39*r**7/14 - 503*r**6/40 - 78*r**5/5 - 67*r**4/16 + r**3/4 - 179*r. Let h(y) = 0. Calculate y.
-2, -1, -1/4, 0, 1/39
Suppose -5*g - 8*j = -4*j, -5*g = -5*j. Suppose 6*p - 4*p = g. Find i, given that 12/7*i**3 + 8/7*i**5 + p + 18/7*i**4 + 0*i + 2/7*i**2 = 0.
-1, -1/4, 0
Let l = 22 + 1. Let p = l - 19. Factor 14*q - q**2 + 6 + p*q**2 - 5*q.
3*(q + 1)*(q + 2)
Let c(u) = -4*u + 27. Let q be c(6). Let b be ((-3)/((-6)/5))/(q/6). Determine l so that -2*l**5 + 8*l**4 - l**5 - 6*l**2 + 3*l + 0*l**b - 2 - 4*l**3 + 4*l = 0.
-1, 2/3, 1
Factor -117*z**4 - 40*z**3 + 74*z**4 - 100*z**2 + 39*z**4.
-4*z**2*(z + 5)**2
Let g(f) = -7*f**4 + 6*f**3 + 7*f**2 - 2*f. Let q(u) = 15*u**4 - 12*u**3 - 15*u**2 + 3*u. Let r(b) = -9*g(b) - 4*q(b). Factor r(o).
3*o*(o - 2)*(o - 1)*(o + 1)
Suppose -37*y + 58 = -8*y. Let h(l) be the second derivative of 0 - 9*l + 64/3*l**y + 16/3*l**3 + 1/30*l**5 + 2/3*l**4. Solve h(a) = 0 for a.
-4
What is v in -34 - 21/2*v - 1/2*v**2 = 0?
-17, -4
Let j = 10 + -7. Let n be (0/(-237))/(1 + 2). Factor n + 0*z + 0*z**2 + 48/5*z**4 - 21/5*z**5 - 12/5*z**j.
-3*z**3*(z - 2)*(7*z - 2)/5
Determine g, given that -127 + 4*g**2 - 57 - 4 - 68*g - 41 - 11 = 0.
-3, 20
Let i = 18 - 3. Let w = -13 + i. Let 4*c**w - 21 - 3*c**4 - 3*c + 21 + 3*c**3 - c**2 = 0. What is c?
-1, 0, 1
Let d(j) be the third derivative of j**5/210 + 5*j**4/28 + 12*j**3/7 + 1785*j**2. Find h such that d(h) = 0.
-12, -3
Let a be (-104)/(-320) + 7/1 - 7. Let b(v) be the second derivative of 1/10*v**6 + 0 + 10*v + 1/2*v**4 + 1/3*v**3 + 0*v**2 + 1/84*v**7 + a*v**5. Factor b(c).
c*(c + 1)**2*(c + 2)**2/2
Let z(n) be the second derivative of n**4/18 - 11*n**3 - 412*n**2/3 + 1016*n. Factor z(u).
2*(u - 103)*(u + 4)/3
Let d(k) be the second derivative of k**8/1680 + k**7/630 + 35*k**4/12 - 2*k + 2. Let b(g) be the third derivative of d(g). Find i such that b(i) = 0.
-1, 0
Factor 2304/7*n**2 + 0 + 0*n - 188/7*n**4 - 4/7*n**5 - 2112/7*n**3.
-4*n**2*(n - 1)*(n + 24)**2/7
Let h(i) be the first derivative of 4*i**5 - 42*i**4 - 39*i**3 + 40*i**2 + 9*i + 4790. Find n such that h(n) = 0.
-1, -1/10, 1/2, 9
Let q(n) = -10*n**4 - 91*n**3 + 299*n**2 - 220*n + 22. Let p(i) = -5*i**4 - 46*i**3 + 149*i**2 - 110*i + 12. Let t(f) = -11*p(f) + 6*q(f). Factor t(y).
-5*y*(y - 2)*(y - 1)*(y + 11)
Let n(s) be the first derivative of -4/3*s**3 + 0*s - 2*s**2 - 16. Factor n(j).
-4*j*(j + 1)
Let u = -866/3 - -874/3. Solve 2/3*y**2 + u*y - 8 = 0.
-6, 2
Let y(l) be the first derivative of 2*l**5/15 - l**4/12 - 11*l**3/3 - 55*l**2/6 - 25*l/3 + 1245. Determine u, given that y(u) = 0.
-5/2, -1, 5
Let b be (-812)/(-90) - (-30)/(-4)*24/20. Let k(d) be the second derivative of 13*d + 0*d**4 + 0 - b*d**5 + 2/27*d**3 + 0*d**2. Factor k(q).
-4*q*(q - 1)*(q + 1)/9
Let v(c) be the third derivative of c**5/390 - c**4/13 + 32*c**3/39 + 768*c**2. Factor v(o).
2*(o - 8)*(o - 4)/13
Let a(o) be the third derivative of 0 - 15/8*o**4 + 1/24*o**6 + 0*o + 61*o**2 + 1/4*o**5 - 45/2*o**3. Factor a(s).
5*(s - 3)*(s + 3)**2
Let o(q) = q**2 + 2. Let w be o(-1). Suppose 18 + n**2 + 17 - 32*n + w*n**2 - 71 = 0. What is n?
-1, 9
Let y(k) be the second derivative of -245/4*k**2 - 5/24*k**4 - 68*k + 35/6*k**3 + 0. Solve y(j) = 0.
7
Suppose -10 = -4*c + 14. Suppose -c*a + 3*a = w - 14, 2*a + 14 = 4*w. Factor -s**2 - 4*s + a*s**2 - 2*s - 2*s + 2*s**3 - 8.
2*(s - 2)*(s + 1)*(s + 2)
Let i = 19177 - 13388. Factor -5 - 10 + i*v**2 - 12*v - 5786*v**2.
3*(v - 5)*(v + 1)
Suppose 10775 = 3*c - 35968. Factor -913952*o**4 - 162 + 15261*o**2 - 51930*o**2 - 51920*o**2 + c*o**2 + 421824*o**3 + 5616*o.
-2*(26*o - 3)**4
Let g(r) be the second derivative of r**6/50 - 3*r**5/25 - r**4/20 + 8*r**3/5 - 18*r**2/5 - 176*r - 3. Solve g(l) = 0 for l.
-2, 1, 2, 3
Suppose 4*c = 2*w - 4*w + 8, -w = 5*c - 13. Solve -17*v**2 - 8*v**c + 12*v**2 - 20*v**4 - 24*v + 25*v**2 + 32*v**2 = 0.
-2, 0, 3/5, 1
Let o(a) be the second derivative of -2*a**7/21 - 4*a**6/15 + 11*a**5/5 + 4*a**4 + 596*a. Suppose o(g) = 0. What is g?
-4, -1, 0, 3
Let m(h) be the first derivative of -2*h**5/65 - 1329*h**4/26 - 22610*h**3 + 442225*h**2/13 + 674. Determine b so that m(b) = 0.
-665, 0, 1
Let s be (3 - 1)*2340/104. Determine a, given that -17 - 17*a + 64 + 88 - 2*a**3 - 3*a**3 - 118*a + s*a**2 = 0.
3
Let w = 419861/2 - 839707/4. Determine q, given that -9/4*q**2 + 9/4*q**4 - 3/4*q**5 + w*q**3 - 3*q + 0 = 0.
-1, 0, 1, 4
Let g(z) be the second derivative of 5*z**4/12 - 3430*z**3 + 10588410*z**2 - 1447*z - 1. Factor g(o).
5*(o - 2058)**2
Let i(y) be the second derivative o