k**q + 2/13*k.
-2*k*(k - 1)/13
Factor -118608091*s**2 + 19683000 - 12465900*s + 409*s**4 + 120364981*s**2 + 383*s**4 + 68067*s**3 + 3*s**5.
3*(s - 3)**2*(s + 90)**3
Let a = -75954/89 + 5354649/6764. Let v = -245/4 - a. Factor v*l**2 - 22/19*l + 4/19.
2*(l - 2)*(5*l - 1)/19
Suppose -4*q - 5*m + 365 = 0, 112*m - 116*m + 463 = 5*q. Let s = q + -92. Factor 0 + 6/7*p**2 - 2/7*p**s - 4/7*p.
-2*p*(p - 2)*(p - 1)/7
Let a be 13*2 - (-129204)/(-5238). Let 5/3*z - 1/6*z**3 + a + 1/6*z**2 = 0. Calculate z.
-2, -1, 4
Let w(t) be the third derivative of -t**6/200 + 1743*t**5/100 - 1012683*t**4/40 + 196122941*t**3/10 - 1573*t**2. Factor w(o).
-3*(o - 581)**3/5
Let v = 683697/95 - 136728/19. Find x such that 0*x**2 - v*x**4 + 9/5*x**3 + 0*x + 0 = 0.
0, 3
Let o(d) be the second derivative of -29/6*d**3 - 4/3*d**4 + 87*d - 7*d**2 - 2 - 1/20*d**5. Factor o(b).
-(b + 1)**2*(b + 14)
Let l(c) be the third derivative of -3*c**6/200 - 32*c**5/25 - 24*c**4 + 4608*c**3/5 + c**2 - 748. Find s, given that l(s) = 0.
-24, 16/3
Find b such that -551222 - 15*b**2 + 2376*b + 30*b**2 + 80774 - 18*b**2 = 0.
396
Suppose 80458*w - 80462*w = -8. Factor -112/17*b**w - 32/17 - 2/17*b**5 - 96/17*b - 64/17*b**3 - 18/17*b**4.
-2*(b + 1)*(b + 2)**4/17
Let k(f) = 12*f**2 - 273*f - 4752. Let n(a) = -3*a**2 + 69*a + 1188. Let y(x) = -2*k(x) - 9*n(x). Suppose y(g) = 0. Calculate g.
-11, 36
Let d(m) be the third derivative of -m**6/120 + 49*m**5/60 - 89*m**4/8 + 129*m**3/2 + 1016*m**2 - 2*m. Let d(k) = 0. Calculate k.
3, 43
Let s be (28/(-16) + 2)/((-36)/(-240)). Let h(d) be the second derivative of 25/36*d**6 + s*d**4 - 15/8*d**5 + 0*d**2 + 13*d + 0 - 5/9*d**3. Factor h(v).
5*v*(v - 1)*(5*v - 2)**2/6
Let g(m) be the first derivative of m**6/6 + 24*m**5/5 - 205*m**4/2 + 292*m**3 + 3073*m**2/2 + 1764*m - 180. Determine j so that g(j) = 0.
-36, -1, 7
Let n(q) be the first derivative of 0*q - 2/3*q**2 + 1/3*q**3 + 1/12*q**4 + 49. Factor n(t).
t*(t - 1)*(t + 4)/3
Let f(q) be the first derivative of 2*q**5/5 - 29*q**4/2 - 122*q**3/3 - 31*q**2 + 326. Factor f(k).
2*k*(k - 31)*(k + 1)**2
Let n(i) be the first derivative of 5*i**6/6 - 21*i**5 + 735*i**4/4 - 1715*i**3/3 + 1608. Find u such that n(u) = 0.
0, 7
Let r(g) be the third derivative of -g**7/140 + 19*g**6/40 + 81*g**5/40 - 19*g**4/8 - 20*g**3 + 1061*g**2. Suppose r(c) = 0. What is c?
-2, -1, 1, 40
Let c(f) be the third derivative of -1/15*f**5 - 98/3*f**3 + 46*f**2 + 0*f - 7/3*f**4 + 0. Factor c(d).
-4*(d + 7)**2
Let c(m) be the first derivative of m**5 - 37*m**4/4 + 94*m**3/3 - 46*m**2 + 24*m - 1400. Suppose c(o) = 0. Calculate o.
2/5, 2, 3
Let u(t) be the third derivative of 7*t**5/390 + 5*t**4/39 - 25*t**3/13 + 6*t**2 - 85*t. What is n in u(n) = 0?
-5, 15/7
Let g(v) be the first derivative of -v**4 + 8804*v**3/3 - 2424400*v**2 + 4840000*v + 7411. Factor g(i).
-4*(i - 1100)**2*(i - 1)
Let w = -409 - -411. Let j(k) be the third derivative of -1/20*k**6 - 1/112*k**8 + 0*k**5 + 0*k**4 - 16*k**w + 0*k**3 + 0 + 0*k + 3/70*k**7. Factor j(z).
-3*z**3*(z - 2)*(z - 1)
Let a(m) = -2*m**3 - 170*m**2 - 6067*m - 57600. Let d(k) = k**3 + 86*k**2 + 3034*k + 28800. Let i(h) = -6*a(h) - 13*d(h). Determine f, given that i(f) = 0.
-40, -18
Let w(p) = 3*p**3 + 34*p**2 - 26*p - 399. Let f be w(-11). Let -142/9*b**2 + f + 110/9*b**3 - 32/3*b + 34/3*b**4 + 2*b**5 = 0. Calculate b.
-3, -1, 2/3
Suppose -18*s**3 - 3*s**4 + 177 + 136*s - 64*s - 12*s**2 - 81 = 0. Calculate s.
-4, -2, 2
Let h(d) be the second derivative of 0*d**2 - 1/120*d**6 + 13/48*d**4 + 0 + 122*d - 7/80*d**5 + 1/168*d**7 - 1/4*d**3. Factor h(q).
q*(q - 2)*(q - 1)**2*(q + 3)/4
Let d be (-4)/38 + 826/266. Suppose -14 = -d*y + 2*k + 2*k, -5*y - 2*k + 6 = 0. Suppose j**3 - 3*j**5 + 0*j**5 + y*j**4 + 4*j**5 = 0. Calculate j.
-1, 0
Suppose -22 = 4*j + 5*z, 4*j + 102*z - 107*z - 38 = 0. Factor 1 + 3/4*i**j - 13/4*i.
(i - 4)*(3*i - 1)/4
Let z = -8175 + 155335/19. Let 18/19*k**2 - 6/19*k**3 - z*k + 0 - 2/19*k**4 = 0. What is k?
-5, 0, 1
Let s(a) be the second derivative of -a**10/30240 + a**9/7560 + a**4/6 - 107*a**2/2 + 136*a. Let x(m) be the third derivative of s(m). Factor x(r).
-r**4*(r - 2)
Let r be (((-8)/(-5))/2)/((88/(-20))/(-11)). What is l in 6/11*l**r - 34/11*l + 20/11 = 0?
2/3, 5
Let k(y) be the third derivative of -y**7/840 - y**6/12 + 41*y**5/240 - 28*y**2 - 41. Determine x so that k(x) = 0.
-41, 0, 1
Solve -92*y**3 + 700*y - 187 - 423*y**4 + 62 - 431*y**4 - 128*y**3 + 829*y**4 - 330*y**2 = 0.
-5, 1/5, 1
Let x(m) be the second derivative of m**7/490 - m**5/140 - 21*m**2/2 + 9*m. Let a(y) be the first derivative of x(y). Factor a(i).
3*i**2*(i - 1)*(i + 1)/7
Let t be (-5 - 1096/(-204))/(-1). Let z = t - -337/357. Factor -2/7*v**2 - z + 6/7*v.
-2*(v - 2)*(v - 1)/7
Let p be (-190)/57*(3/(-2))/(-1). Let q be (-2)/(-2) + (p - -8). Determine d, given that -24*d**2 + 15*d**4 + 46*d**q + 4*d - 12*d**4 + 21*d**3 = 0.
-1, 0, 2/7
Let x(u) be the second derivative of -u**6/6 + 27*u**5/4 + 5*u**4/12 - 45*u**3/2 - 7610*u. Suppose x(h) = 0. Calculate h.
-1, 0, 1, 27
Let i(m) = 24*m**2 - 16*m - 64. Let z(x) = x**3 - x**2 - 4. Let t(u) = -i(u) - 4*z(u). Suppose t(c) = 0. Calculate c.
-5, -2, 2
Let y = 38322 - 38318. Factor 0*a + 0 - 3/2*a**2 - 3/2*a**y - 3*a**3.
-3*a**2*(a + 1)**2/2
Let p(d) = 3*d**3 + 126*d**2 + 560*d + 27. Let z be p(-5). Factor 5/3*n**z - n - 14/3.
(n - 2)*(5*n + 7)/3
Let a(k) be the third derivative of 1/60*k**5 + 1/2*k**3 - 4*k + 1/6*k**4 - 4*k**2 + 0. Factor a(h).
(h + 1)*(h + 3)
What is m in -4104*m + 1962*m**2 - 505*m**4 + 2006*m**4 - 504*m**4 - 499*m**4 - 196*m**3 - 6264 - 496*m**4 = 0?
-1, 6, 87
Let o(s) be the third derivative of 5/2*s**3 + 0*s - s**2 - 1/120*s**5 + 29/48*s**4 + 31. Find k such that o(k) = 0.
-1, 30
Let k be (-6)/10*(0 + -5). Suppose k*r + 2*z = 31, -4*z + 44 = 4*r - 0*r. Determine y, given that 35*y + 3*y**2 + r*y**2 - 43*y = 0.
0, 2/3
What is d in 53*d**3 - 2 - 51*d**3 - 3 + 5 + 8*d**2 = 0?
-4, 0
Let k(o) be the second derivative of o**4/48 + 1007*o**3/24 + 503*o**2/4 - 4*o - 26. Factor k(c).
(c + 1)*(c + 1006)/4
Let y(g) be the third derivative of -g**8/3192 + 2*g**7/665 - 3*g**6/380 - 2*g**5/285 + g**4/19 - 3212*g**2. Solve y(t) = 0.
-1, 0, 2, 3
Suppose -32 = -5*t - 3*f, -5*f = -5*t - 3*f + 12. Factor 69*u**3 - 9*u**4 - t*u - 42*u**2 + 0*u**3 - 5*u - 9*u**4.
-3*u*(u - 3)*(u - 1)*(6*u + 1)
Let x(f) be the third derivative of 43/300*f**5 - 161/40*f**4 + 147/10*f**3 - 3 + 0*f + 26*f**2 - 1/600*f**6. Factor x(t).
-(t - 21)**2*(t - 1)/5
Let m(h) be the third derivative of 1/210*h**5 - 5/21*h**4 + 0*h + 19/21*h**3 - 51*h**2 + 0. Let m(o) = 0. Calculate o.
1, 19
Let w(q) be the second derivative of -q**6/30 + 15*q**5/16 - 121*q**4/48 + 11*q**3/8 + 17*q**2/8 - 50*q + 3. Find a such that w(a) = 0.
-1/4, 1, 17
Find z, given that 15039*z**2 - 15055*z**2 + 4*z**3 + 53 - 53 - 6*z**3 = 0.
-8, 0
Let u(b) = b - 20. Let g be u(20). Suppose -8*k + 12 - 12 = g. What is q in 1/5*q**2 + 2/5*q**3 - 1/5*q**4 + k - 2/5*q = 0?
-1, 0, 1, 2
Let p = 909 - -3. Let h = 915 - p. Factor 1/2*b**h + 60*b - 50 - 21/2*b**2.
(b - 10)**2*(b - 1)/2
Suppose 2*z = 114 + 406. Let u(t) = -4*t**3 - z*t + 15*t**2 + 10 - 45*t**2 + 233*t. Let s(r) = -r - 2. Let d(l) = 22*s(l) + 2*u(l). What is i in d(i) = 0?
-6, -1, -1/2
Suppose 947*x = -1547*x + 169*x + 4381 + 269. Factor -416/7*s - 120/7 + x*s**2.
2*(s - 30)*(7*s + 2)/7
Suppose 0 = -15*o + 10*o - 60. Let l = -8 - o. Factor l - 3 - 1 - j - 2 + j**2.
(j - 2)*(j + 1)
Let s(x) = -6*x**3 + 26*x**2 + 22*x + 30*x**3 + 12 - 12*x**3. Let h(j) = -j**4 + 60*j**3 + 130*j**2 + 109*j + 62. Let q(p) = 4*h(p) - 22*s(p). Factor q(f).
-4*(f + 1)**2*(f + 2)**2
Let j be -3 + (2554 - (-7)/(-21)*3). Suppose t + 2514 = j. Suppose -36 - t*f**2 + 72*f + 16/3*f**3 = 0. Calculate f.
3/4, 3
Solve 3/4*m**3 - 39/2*m**4 + 33*m**2 - 9*m - 21/4*m**5 + 0 = 0.
-3, -2, 0, 2/7, 1
Suppose -2*d - 30 = -34. Let j be ((-27)/126 + d/(-7))*-6. Factor -688 + j*c**2 + 688 + 6*c.
3*c*(c + 2)
Let h(g) = -5*g**2 + 27*g - 7. Let w(x) = -8*x**2 + 52*x - 15. Let r(f) = -7*h(f) + 4*w(f). Let k be r(-7). What is y in -8/9*y - 2/9*y**k + 0 + 10/9*y**2 = 0?
0, 1, 4
Let y(i) be the second derivative of 50*i**2 + 1/120*i**6 - 9 - 5/3*i**3 + 1/40*i**5 - 2*i - 13/16*i**4. Suppose y(s) = 0. What is s?
-5, 4
S