k(m) be the first derivative of -50/9*m + 17/3*m**2 + 202 - 2*m**3 + 1/18*m**4. Factor k(j).
2*(j - 25)*(j - 1)**2/9
Let d(l) = 3*l**3 - 18*l**2 + 15*l + 5. Let y be d(5). Suppose 3*v = 3*o - 152 - 433, 2*v - 1010 = -y*o. Find s such that 125/2 - o*s + 160*s**2 = 0.
5/8
Let q(m) be the third derivative of m**8/784 - 9*m**7/245 + 25*m**6/56 - 103*m**5/35 + 78*m**4/7 - 160*m**3/7 - 521*m**2 + 1. Factor q(x).
3*(x - 5)*(x - 4)**3*(x - 1)/7
Factor 78 - 21*l**3 - 2*l**3 + 4*l**3 - 30*l**2 + 17*l**3 - 7*l - 39*l.
-2*(l - 1)*(l + 3)*(l + 13)
Let d = 524 - 240. Let i = d + -1986/7. Find s, given that -8/7*s**3 + 4/7*s**2 + 10/7*s - i*s**5 + 4/7 - 8/7*s**4 = 0.
-2, -1, 1
Let i(h) = -h**3 - 155*h**2 + 522*h + 7584. Let r be i(-158). Suppose -1/2*o + r - 1/2*o**2 = 0. Calculate o.
-1, 0
Let x(r) be the first derivative of r**6/39 + 72*r**5/65 + 179*r**4/13 + 408*r**3/13 + 289*r**2/13 + 709. Solve x(o) = 0.
-17, -1, 0
Factor 79764*v**2 - 1173*v - 159532*v**2 + 79765*v**2 + 1176.
-3*(v - 1)*(v + 392)
Let x(y) be the third derivative of -49*y**6/96 - 7*y**5/4 + 75*y**4/2 + 1000*y**3/3 - 774*y**2 + 2*y. Factor x(i).
-5*(i - 4)*(7*i + 20)**2/4
Let n = 642220 + -1926653/3. Suppose -12 + 3*k + n*k**2 = 0. What is k?
-3, 12/7
Let k be ((-52)/(-16))/((-43589)/(-3832)). Factor 20/7*o - 50/7 - k*o**2.
-2*(o - 5)**2/7
Factor -52*z - 10*z**2 + 43*z - 13*z**2 + 399*z + 25*z**2 - 788.
2*(z - 2)*(z + 197)
Let f(r) be the second derivative of 5*r**7/42 + 5*r**6/6 + 7*r**5/4 + 5*r**4/4 + 117*r - 3. Solve f(m) = 0 for m.
-3, -1, 0
Let s = -759619/2 - -379822. Suppose s*d**5 - 111/2*d**3 - 6*d + 0 - 15*d**4 - 34*d**2 = 0. Calculate d.
-1, -2/5, 0, 3
Let u be (-76)/(-16) + (-21)/(-84). Let z(i) be the third derivative of 0 + 0*i**3 + 0*i**4 + 0*i + 1/420*i**6 - 1/70*i**u - 14*i**2. Factor z(m).
2*m**2*(m - 3)/7
Find d such that -7*d**2 - 11*d**4 + 16*d**4 + 403*d**2 - 14*d**4 - 48*d**3 + 11*d**4 + 882 - 1232*d = 0.
1, 7, 9
Determine u, given that 17074 + 24800*u + 615*u**4 + 70*u**4 - 15*u**5 + 1596*u**3 + 31880*u**2 - 54949 - 10125 - 10946*u**3 = 0.
-4/3, 1, 6, 20
Suppose -30*f + 9 = 21*f - 246. Let u(p) be the second derivative of -1/5*p**f + 2/15*p**6 + 0*p**2 + 2/3*p**3 + 0 - 1/3*p**4 + p. Let u(v) = 0. What is v?
-1, 0, 1
Let p(w) be the second derivative of -w**6/315 + 17*w**5/70 + 13*w**4/21 - w**3/3 - 51*w**2/2 + 77*w. Let k(f) be the second derivative of p(f). Solve k(h) = 0.
-1/2, 26
Let i = -463 + 461. Let f(m) = 2*m**2 + 48*m - 44. Let x(k) = k - 2. Let q(t) = i*f(t) + 44*x(t). Factor q(z).
-4*z*(z + 13)
Let m(h) be the first derivative of -2/5*h**5 + 18 - 1/4*h**6 + 2*h**2 + 0*h - 13/3*h**3 + 25/8*h**4. Solve m(o) = 0.
-4, 0, 2/3, 1
Suppose 3521 = -11*i + 9461. Let n be (-12)/10*(-200)/i. Suppose -2/3*t + 4/9*t**2 - n = 0. What is t?
-1/2, 2
Suppose 4*w + 58*p = 30*p + 32*p, -4*w = 2*p. Let o(h) be the second derivative of 1/120*h**4 + 15*h - 3/20*h**2 + w - 1/30*h**3. Solve o(t) = 0.
-1, 3
Let i = -6700/19 - -47641/133. Solve -3/7*d**2 + 6 - i*d = 0.
-14, 1
Solve -1082/3 + 360*b + 2/3*b**2 = 0.
-541, 1
Let s(q) be the second derivative of -q**4/54 + 32*q**3/27 - 52*q**2/3 - 2730*q. Factor s(y).
-2*(y - 26)*(y - 6)/9
Let a(b) be the second derivative of 3*b - 5/2*b**3 + 2 + 1/3*b**4 - 1/60*b**5 + 25/3*b**2. Factor a(q).
-(q - 5)**2*(q - 2)/3
Let x = -79690 - -239074/3. Find k such that 36*k + 104/3 + x*k**2 = 0.
-26, -1
Let w(r) be the first derivative of -2*r**3/3 - 63*r**2 + 128*r - 89. What is h in w(h) = 0?
-64, 1
Let v = -7/3813 + 26705/7626. Find o, given that 5/2*o**2 + 1/2*o**3 + v*o + 3/2 = 0.
-3, -1
Let p(r) = -7*r**5 + 21*r**3 + 10*r**2 - 15*r - 9. Let f(j) = 1 + j**3 - 4*j**5 - 8*j**2 - 6*j**2 + 14*j**2 + 2*j**5. Let x(q) = -f(q) + p(q). Factor x(a).
-5*(a - 2)*(a - 1)*(a + 1)**3
Let w(g) be the second derivative of -6/5*g**2 + 1/15*g**3 + 17 - g + 1/30*g**4. Factor w(r).
2*(r - 2)*(r + 3)/5
Suppose n = -571487 + 571491. Solve -21*g**3 - 24*g - 9/2*g**n - 69/2*g**2 - 6 = 0.
-2, -1, -2/3
Find h such that 4/5*h**3 - 72/5*h + 0 - 68/5*h**2 = 0.
-1, 0, 18
Let w be (-6084)/(-429)*3/14 - 564/658. Factor -108/11 + 90/11*x + 2/11*x**3 - w*x**2.
2*(x - 6)*(x - 3)**2/11
Suppose 0 = 2*x + 2*p + 4, 1929 = -2*x - 3*p + 1920. Factor 0*n**2 + 7/3*n - 1/3*n**x - 2.
-(n - 2)*(n - 1)*(n + 3)/3
Suppose 0 = 5*h - i + 9, 2*h = 4*h - i + 6. Let x(z) = -z**2 + 8*z + 9. Let d be x(h). Suppose 2/5*p**2 + d*p - 8/5 = 0. Calculate p.
-2, 2
Let m(f) be the first derivative of -3*f**2/2 + 80*f - 126. Let i be m(26). Solve 6/7*x**4 - 12/7*x**3 + 6/7*x**i + 0 + 0*x = 0 for x.
0, 1
Let d = -3 + 5. Suppose 135 = 7*z + 100. Solve 1 + 4*c + 5*c**d - z*c**3 + 1 - 7 + c = 0.
-1, 1
Suppose 4*v - 65*q + 70*q = 57, 15 = -4*v + 3*q. Let 0 + 22/17*p**2 + 0*p - 2/17*p**v = 0. Calculate p.
0, 11
Let w be 21/(-2)*(73/((-9855)/(-2100)) + -20). Factor -11/6*p**5 - 40*p - w*p**3 - 200/3*p**2 - 16/3 - 15*p**4.
-(p + 2)**4*(11*p + 2)/6
Let c(m) be the first derivative of 2*m**3/21 + 1977*m**2/7 + 3952*m/7 - 13504. Factor c(s).
2*(s + 1)*(s + 1976)/7
Let x be (-411)/60 + (2 - -5). Let k(g) be the second derivative of 6*g + x*g**5 + 3/4*g**4 + g**3 + 0 + 0*g**2. Factor k(s).
3*s*(s + 1)*(s + 2)
Let h(v) = -15*v + 123. Let d be h(8). Suppose -2*y - 2*f = -23 + 9, 0 = 4*y + d*f - 24. Factor -16/19*u**y - 8/19*u**2 + 0 - 2/19*u**5 - 10/19*u**4 + 0*u.
-2*u**2*(u + 1)*(u + 2)**2/19
Let l(i) be the third derivative of -1/240*i**5 + 0*i - 42*i**2 + 1/24*i**4 - 1/8*i**3 + 1. Determine d, given that l(d) = 0.
1, 3
Determine b, given that -30533*b**2 + 30256*b**2 + 19*b - 55*b**3 - 249*b - 8 = 0.
-4, -1, -2/55
Let g(l) be the third derivative of 1/3*l**4 + 0 - 75*l**2 + 0*l + 0*l**3 - 1/10*l**5 - 1/60*l**6. Suppose g(p) = 0. What is p?
-4, 0, 1
Suppose -437*i + 373*i + 107 = -85. Let t(d) be the first derivative of 2/3*d**i + 2*d - 24 + 2*d**2. Determine p so that t(p) = 0.
-1
Let a(c) be the third derivative of c**5/120 - 49*c**3/12 + 1126*c**2. Factor a(l).
(l - 7)*(l + 7)/2
Let r(q) = 2*q + 1. Let g(a) = -2*a**2 + 4016*a - 2036172. Let j(m) = -g(m) - 10*r(m). Suppose j(p) = 0. What is p?
1009
Let g(u) = -16*u**3 + 183*u**2 + 697*u + 489. Let a(z) = 4*z**3 - 46*z**2 - 174*z - 122. Let m(r) = 9*a(r) + 2*g(r). Factor m(h).
4*(h - 15)*(h + 1)*(h + 2)
Let c(n) be the third derivative of 5/9*n**3 + 1/540*n**6 - 7/270*n**5 + 0*n + 0 + 7/108*n**4 - 175*n**2. Find z, given that c(z) = 0.
-1, 3, 5
Let m(b) be the second derivative of -42*b**2 - 1/3*b**4 + 0 - 20/3*b**3 + b. Factor m(a).
-4*(a + 3)*(a + 7)
Find v, given that 154*v**2 - v - 1368 + 157*v**2 + 163*v**2 - 471*v**2 + 331*v = 0.
-114, 4
Factor -2448*r**2 + 43*r + 2445*r**2 + 66*r - 7*r + 456.
-3*(r - 38)*(r + 4)
Let j(z) be the first derivative of z**4/18 - z**3/12 - z**2/12 + 61*z - 13. Let t(i) be the first derivative of j(i). Factor t(u).
(u - 1)*(4*u + 1)/6
Suppose l = -1, -y = 3*y + 4*l - 12. Factor -3 + 22*o**2 - 3 + 6 + 24*o**3 + 48*o**4 - 46*o**y.
2*o**2*(o + 1)*(o + 11)
Let p(l) be the first derivative of 4/5*l + 1/5*l**2 - 2/15*l**3 - 170. Solve p(j) = 0.
-1, 2
Let t(g) = g**3 - 28*g**2 + 70*g + 19. Let y be t(3). Find z such that 104*z**3 + y*z**5 - 104/3*z**4 + 20*z - 352/3*z**2 + 24 = 0.
-1/3, 1, 2, 3
Suppose 33*b**4 - 372*b**3 + 72*b + 83*b - 75*b + 6*b**4 + 112*b**2 - 3*b**4 = 0. What is b?
-1/3, 0, 2/3, 10
Let k(g) be the second derivative of g**7/14 - 47*g**6/15 - 73*g**5/20 + 23*g**4 + 190*g**3/3 + 64*g**2 - 530*g. Solve k(f) = 0 for f.
-1, -2/3, 2, 32
Find s such that 12 + 2*s**4 - 22 - 8*s + 18*s**2 + 35*s**3 + 0*s**2 - 14 - 23*s**3 = 0.
-3, -2, 1
Let h(o) = -14*o**4 + 956*o**3 + 5304*o**2 + 8702*o + 4324. Let r(l) = -2*l**4 + 137*l**3 + 758*l**2 + 1243*l + 618. Let j(n) = 6*h(n) - 44*r(n). Factor j(v).
4*(v - 78)*(v + 1)*(v + 2)**2
Factor 4649*m - 2324*m - 3*m**4 + 35*m**3 + 39*m**2 + m**3 - 2325*m.
-3*m**2*(m - 13)*(m + 1)
Suppose -86*j + 34*j + 208 = 0. Let v(h) be the second derivative of -h + 0*h**2 + 1/28*h**j - 3/14*h**3 + 0. Factor v(u).
3*u*(u - 3)/7
Let s(c) be the third derivative of -c**6/48 + 11*c**5/60 - 5*c**4/48 - c**3 - 2*c**2 + 200. Solve s(r) = 0.
-3/5, 1, 4
Find j, given that -4*j**2 - 16*j**3 + 1/4*j**4 + j**5 + 0*j + 0 = 0.
-4, -1/4, 0, 4
Suppose 0 = 9*z - 1394 + 1223. Suppose 2*a**2 + z*a - 6*a**2 - 26896 - 73*