uppose 29261*t - 29275*t + 28 = 0. Let s(f) be the first derivative of 37/15*f**3 + 9/5*f + 17 + f**4 + 3*f**t + 4/25*f**5. Factor s(l).
(l + 1)**2*(2*l + 3)**2/5
Solve -50575/4*o - 6018*o**2 - 1579/2*o**3 + 4913 - 41*o**4 - 3/4*o**5 = 0 for o.
-17, -4, 1/3
Factor -2*i**2 + 96 + 74*i - 314*i + 39*i + 107*i.
-2*(i - 1)*(i + 48)
Suppose 167 - 78 = -167*h + 89. Factor 0*r - 8/9*r**2 + h*r**3 - 2/9*r**5 + 2/3*r**4 + 0.
-2*r**2*(r - 2)**2*(r + 1)/9
Let i(r) be the third derivative of 0*r - 1/3600*r**6 + 35/6*r**3 + 0*r**4 + 0 + 28*r**2 - 1/300*r**5. Let z(l) be the first derivative of i(l). Factor z(h).
-h*(h + 4)/10
Let a(w) be the third derivative of 0*w**3 - 1/35*w**6 + 0*w - 5/56*w**4 - 149*w**2 - 41/140*w**5 + 0. Factor a(v).
-3*v*(v + 5)*(8*v + 1)/7
Let d = 4175824/285 + -14652. Let z(p) be the third derivative of 0*p**3 + 0*p + 1/228*p**4 - d*p**5 - 4*p**2 + 0. Factor z(m).
-2*m*(8*m - 1)/19
Let z(u) be the first derivative of 0*u + 1/3*u**3 - 44 - 1/2*u**2. Let z(x) = 0. Calculate x.
0, 1
Let m(l) = 57*l - 70. Let o be m(2). Let g be ((-48)/132)/((-24)/o). Let -5/3*z**4 - 7/3*z**2 + 1/3*z**5 + g*z + 0 + 3*z**3 = 0. Calculate z.
0, 1, 2
Let c = -182 - -117. Let m = c - -74. Factor 62*l**4 + 8 - 63*l**4 + 2*l**2 - m.
-(l - 1)**2*(l + 1)**2
Let x(y) be the third derivative of -y**8/112 - 61*y**7/210 - 113*y**6/30 - 24*y**5 - 72*y**4 - 72*y**3 + y**2 - 590. Factor x(t).
-(t + 2)*(t + 6)**3*(3*t + 1)
Let v = -1133/7 - -1143/7. Factor -1/7*b**2 - 25/7 + v*b.
-(b - 5)**2/7
Suppose l + 0 = 3. Factor 88*q**2 + 5 + 5*q**l - 81*q**2 - 4*q**3 + 11*q.
(q + 1)**2*(q + 5)
Let b(x) be the third derivative of -x**8/168 - 2*x**7/21 + 44*x**6/15 - 229*x**5/15 + 433*x**4/12 - 140*x**3/3 - 3529*x**2. Determine y, given that b(y) = 0.
-20, 1, 7
Find m, given that -206 - 10*m**2 - 208 - 23*m - 210 + 612 + m**3 = 0.
-1, 12
Suppose -4*g = o - 7, -8*o = g - 7*o - 1. Solve 9*r + 7 + 8*r - 36*r + 13*r - r**g = 0 for r.
-7, 1
Let w be (-24030)/290628 - 4/138*-3. Let s = 707/1170 - w. Suppose -s*q - 1/5*q**2 + 0 = 0. What is q?
-3, 0
Let p(w) be the first derivative of 14*w + 3/2*w**2 - 1/8*w**4 + 25 + 1/4*w**3. Let o(b) be the first derivative of p(b). Solve o(n) = 0.
-1, 2
Let z(c) be the first derivative of 96*c**4 + 592*c**3 - 1413*c**2/4 + 135*c/2 - 1802. Factor z(p).
3*(p + 5)*(16*p - 3)**2/2
Let v(c) be the first derivative of -26*c - 19 + 3/10*c**3 + 3/100*c**5 - 3/20*c**4 - 3/10*c**2. Let i(l) be the first derivative of v(l). Factor i(a).
3*(a - 1)**3/5
Let k(g) = -g. Let i(h) = -4*h**2 - 2*h + 60. Let v(x) = -x**3 + 38*x**2 - 35*x - 73. Let z be v(37). Let c(a) = z*i(a) + 6*k(a). Let c(s) = 0. What is s?
-5, 3
Let -22*l**3 - 94 - 2*l + 141/2*l**2 - 1/2*l**4 = 0. What is l?
-47, -1, 2
Let h(g) be the first derivative of -3*g**5/10 + 135*g**4/8 + 77*g**3 - 360*g**2 - 545. Find q such that h(q) = 0.
-5, 0, 2, 48
Let n(b) = b**3 - 25*b**2 + 5*b - 123. Suppose 544 = 52*w - 756. Let j be n(w). Factor 0 - 20/7*c**j - 4/7*c**5 + 4/7*c**4 + 12/7*c**3 + 8/7*c.
-4*c*(c - 1)**3*(c + 2)/7
Let g(w) be the third derivative of -w**6/90 + w**5/15 + 13*w**3/6 + 51*w**2. Let o(p) be the first derivative of g(p). Factor o(h).
-4*h*(h - 2)
Let v(g) be the first derivative of -g**7/280 + 7*g**6/120 + 70*g**3 - 30. Let o(b) be the third derivative of v(b). Determine y, given that o(y) = 0.
0, 7
Let v = 468 - 476. Let p be (56/(-72))/(-1)*v/(-14). Factor 0 + 4/3*u + p*u**2.
4*u*(u + 3)/9
Let m(r) be the first derivative of r**5/36 - 5*r**4/72 - 3*r**2 - 2*r - 54. Let g(w) be the second derivative of m(w). Solve g(b) = 0 for b.
0, 1
Let k = 383165 - 1149475/3. Factor -k - 8*j**2 - 14*j - 2/3*j**3.
-2*(j + 1)**2*(j + 10)/3
Let n(d) be the second derivative of d**8/13440 - d**7/1008 + d**6/240 + 47*d**4/4 - 7*d. Let r(m) be the third derivative of n(m). Factor r(x).
x*(x - 3)*(x - 2)/2
Let k(w) be the third derivative of -w**8/112 - 29*w**7/70 - 11*w**6/8 - 27*w**5/20 + 15*w**2 - 3*w. Factor k(n).
-3*n**2*(n + 1)**2*(n + 27)
Let d be (-103)/(8652/(-16))*(-147)/(-6). Factor 2/3*w**4 - d*w**2 - 8/3*w + 0 - 4/3*w**3.
2*w*(w - 4)*(w + 1)**2/3
Suppose -6*z + 6 = -3*z. Suppose 0*v = -z*v + 26. Find u, given that 125 - v*u - 3*u - 121 - 9*u**2 = 0.
-2, 2/9
Factor 340*b**3 - 662*b**3 + 325*b**3 - 12*b + 18*b**2 - 72.
3*(b - 2)*(b + 2)*(b + 6)
Let h(i) be the second derivative of -i**6/240 - 101*i**5/160 + 109*i**4/8 - 335*i**3/3 + 452*i**2 + 154*i + 6. Factor h(j).
-(j - 4)**3*(j + 113)/8
Let d(k) = -36*k**4 + 75*k**3 - 21*k**2 - 3. Let c(p) = -p**5 + 36*p**4 - 71*p**3 + 24*p**2 + 2. Let z(q) = -3*c(q) - 2*d(q). Find x such that z(x) = 0.
0, 1, 10
Let m(j) be the third derivative of -j**5/180 - 35*j**4/72 - 125*j**3/9 + 4066*j**2. Factor m(u).
-(u + 10)*(u + 25)/3
Let c(k) = 7 + 10 + k**2 + 14*k + 0. Let o be c(-13). Factor 103*s**4 - 95*s**o + 4*s**3 + 6*s**5 - 2*s**5.
4*s**3*(s + 1)**2
Let x(l) be the first derivative of 10/7*l**2 + 150/7*l + 2/63*l**3 + 78. Factor x(k).
2*(k + 15)**2/21
Let n(t) be the first derivative of -2*t**3/3 + 148*t**2 - 584*t - 957. Factor n(d).
-2*(d - 146)*(d - 2)
Let v(n) be the second derivative of -1/10*n**6 + 0*n**2 + 0 - 140*n - 3/4*n**5 - 2*n**3 - 2*n**4. Determine i so that v(i) = 0.
-2, -1, 0
Let q = -479 - -435. Let j = 46 + q. Let 1/4 - 1/2*t**3 - 3/4*t**j + 0*t = 0. Calculate t.
-1, 1/2
Let f be (170/14 - 7) + (-6)/42 + (3 - 6). Find g such that -10/3*g - 8/3*g**3 - 19/3*g**f + 0 + 1/3*g**4 = 0.
-1, 0, 10
Factor -2886*r + r**2 + 1645*r + 1609*r + 732.
(r + 2)*(r + 366)
Suppose -252 + 27 = -9*t. Let r = 47 - t. Suppose -6*x**2 + 2 + r*x**2 + x**4 + 5*x**3 + 7*x - 7*x**2 = 0. What is x?
-2, -1
Suppose -3*j - 8 - 9 = z, -2*j = z + 12. Let s(f) = f**2 + f - 6. Let y(i) = 5*i**2 + 7*i - 24. Let w(q) = j*y(q) + 20*s(q). Determine x, given that w(x) = 0.
-3, 0
Let s(z) = 53*z - 441. Let o be s(21). Let h be 4/(-12) - (-476)/o. Solve 9/8*r**2 + h + 9/8*r + 3/8*r**3 = 0 for r.
-1
Let t(g) be the second derivative of g**4/48 - 7*g**3/8 + 5*g**2/2 + 6*g + 45. Find n, given that t(n) = 0.
1, 20
Let m(s) be the third derivative of 0*s + 23/60*s**4 + 7 + 1/100*s**6 + 8/75*s**5 - 10*s**2 + 2/5*s**3. Let m(h) = 0. Calculate h.
-3, -2, -1/3
Let i(z) be the first derivative of 126 - 1/2*z**4 - 2*z + z**2 + 2/3*z**3. Let i(f) = 0. What is f?
-1, 1
Let o(y) be the second derivative of -y**4/15 + 14*y**3/5 - 108*y**2/5 + 1198*y. Let o(x) = 0. What is x?
3, 18
Suppose 4269*w**2 - 435*w + 243*w - 1020*w + 2436 - 4272*w**2 = 0. What is w?
-406, 2
Let f(a) = -7*a**3 - 3*a**2 + 5*a + 11. Let o be f(-2). Let g be -2 + (5 - (4 - o/25)). Suppose -8/5*b + 6/5*b**2 + g*b**3 - 8/5 - 2/5*b**4 = 0. Calculate b.
-1, 2
Let y(c) be the second derivative of -c**7/3360 + c**6/480 + 4*c**3 + 3*c**2/2 + 2*c - 9. Let d(r) be the second derivative of y(r). Factor d(w).
-w**2*(w - 3)/4
Find r, given that -2/3*r**2 - 26/3*r - 8 = 0.
-12, -1
Let k be (0 + (-2)/(-52))/((-2091)/(-16728)). Find j, given that -6/13*j**3 + 2/13*j**5 + 0 + 8/13*j + 8/13*j**2 - k*j**4 = 0.
-1, 0, 2
Let f be (-2001)/(-7245) - 10/(-175). Let o = -17/3 - -6. Factor 0 + 0*h - o*h**2 + f*h**3.
h**2*(h - 1)/3
Let l = 19964 + -19945. Let f(q) be the second derivative of 0*q**5 - l*q + 1/10*q**6 + 0 + 0*q**2 - 1/4*q**4 + 0*q**3. Solve f(g) = 0 for g.
-1, 0, 1
Let q be ((-25)/125 - 1)*(-4 - 2). Determine z, given that -3/5*z**2 + 33/5*z + q = 0.
-1, 12
Let f(v) be the third derivative of v**5/80 + 11*v**4/32 - 2502*v**2. Factor f(x).
3*x*(x + 11)/4
Suppose -30 = -3*t - 3*s, -3*t - 4*s + 29 = -1. Find p, given that -319*p**3 + 317*p**3 - t*p - 2 - 2 - 8*p**2 = 0.
-2, -1
Let u(s) be the third derivative of 121/18*s**4 + 0 - 2*s + 1/90*s**6 - 8*s**2 - 22/45*s**5 + 0*s**3. Factor u(m).
4*m*(m - 11)**2/3
Let r(p) be the first derivative of p**5/360 + p**4/48 - 7*p**2 - 4*p + 2. Let f(s) be the second derivative of r(s). Factor f(a).
a*(a + 3)/6
Determine n so that 388/7*n - 18818/7 - 2/7*n**2 = 0.
97
Let d be 10/(-3)*(-105)/14. Factor 183*t**3 - 40 + 30*t**2 - 20 - 178*t**3 + d*t.
5*(t - 1)*(t + 3)*(t + 4)
Let c(g) = 5*g**3 + 3716*g**2 - 1527704*g + 209803592. Let f(z) = 3*z**3 + 2477*z**2 - 1018469*z + 139869061. Let w(r) = 5*c(r) - 8*f(r). Factor w(b).
(b - 412)**3
Let n(c) be the third derivative of -c**6/540 - c**5/30 - 5*c**4/