3*m**2 - 2/3*m.
2*(m - 1)*(m + 1)**2/3
Let i(q) = 2 - 8 + 16*q**2 + 2*q**2 + 4. Let u be i(-1). Suppose u*v + 4*v + 21*v**2 + 26*v**3 - v**2 - 21*v**3 = 0. Calculate v.
-2, 0
Find m, given that 124303*m**2 + 124303*m**2 - 248609*m**2 + 1893*m - 1890 = 0.
1, 630
Let o(u) be the first derivative of 26 - 4/11*u**2 + 6/11*u + 2/33*u**3. Factor o(k).
2*(k - 3)*(k - 1)/11
Let f = -334973 + 334976. Factor 216/7 - 232/7*j**2 - 444/7*j - 20/7*j**f.
-4*(j + 3)*(j + 9)*(5*j - 2)/7
Factor -98/11*h**2 + 10/11*h**3 + 230/11*h + 50/11.
2*(h - 5)**2*(5*h + 1)/11
Let s(l) = -l - 24. Suppose -3*x - 10 = b + 5, 0 = -2*b - 4*x - 36. Let z be s(b). Factor 5/3*k**4 + 7/3*k**3 + z + k**2 + 0*k + 1/3*k**5.
k**2*(k + 1)**2*(k + 3)/3
Let m = 27596 + -27591. Let a(k) be the second derivative of 0*k**2 + 0 - 5/9*k**4 + 50/9*k**3 - 14*k + 1/60*k**m. Solve a(z) = 0 for z.
0, 10
Let z(g) be the third derivative of -14 + 0*g**4 + 1/2*g**3 - 1/180*g**5 + 3*g**2 + 0*g. Suppose z(o) = 0. What is o?
-3, 3
Let z be (-7 + 7)*2/10. Let a(s) be the first derivative of 2/9*s**3 + z*s + 1/6*s**4 + 41 - 2/3*s**2. Factor a(u).
2*u*(u - 1)*(u + 2)/3
Let n = -1879120 + 3758285/2. Find b such that 5/4*b**3 - n - 15*b**2 + 145/4*b = 0.
1, 2, 9
Determine x so that -7/4*x**2 - 3/4*x**3 + 8 + 7*x = 0.
-4, -1, 8/3
Let y(w) be the second derivative of -w**4/24 + 206*w**3/3 - 42436*w**2 + 9*w - 8. Factor y(l).
-(l - 412)**2/2
Let i(s) be the third derivative of s**6/120 + 23*s**5/30 + 83*s**4/8 + 60*s**3 + 2*s**2 + 618*s. Factor i(r).
(r + 3)**2*(r + 40)
Factor 2/5*m**2 + 470890 - 868*m.
2*(m - 1085)**2/5
Let v(s) = 284*s**2 + 76112*s + 2. Let i be v(-268). Suppose 10*m - 5*m = 0. Factor -2*t + m - 2/7*t**i.
-2*t*(t + 7)/7
Suppose 74*c = 65 + 305. Suppose 22 = 5*u - 2*s, -c*u - 5*s + 16 = 1. Factor r**2 + 0*r**3 + 0 - 1/2*r - r**u + 1/2*r**5.
r*(r - 1)**3*(r + 1)/2
Let l(t) = -9*t**2 - 2760*t + 982802. Let b(i) = 4*i**2 + 1382*i - 491401. Let w(g) = -22*b(g) - 10*l(g). Factor w(c).
2*(c - 701)**2
Suppose -414*l + 412*l = -2*p - 4, 0 = 2*p + 2*l - 12. Let h(c) be the first derivative of 3*c**3 + 1/12*c**4 + 81/2*c**p + 13 + 243*c. Factor h(s).
(s + 9)**3/3
Let c(r) = -4*r. Let h be c(-1). Suppose h*f - 3*l = -5*l + 20, -l = -4. Factor -9 - 396*w - 8 - 2106*w**2 - 3549*w**f + 2 - 9.
-3*(7*w + 2)*(13*w + 2)**2
Factor 11*u**3 + 37*u**2 - 5*u**4 - 5*u**3 - 540*u - 16*u**2 + 84*u**2 + 34*u**3.
-5*u*(u - 9)*(u - 3)*(u + 4)
Suppose 8*s**3 + 119*s**4 + 4 - 61*s**4 + 39*s**2 - 2 + 17*s - 74*s**4 = 0. Calculate s.
-1, -1/4, 2
Let m(p) = -3*p**2 + 6622*p + 221795. Let d be m(-33). Factor 12*y**d - 2*y**3 + 1/8*y**4 + 32 - 32*y.
(y - 4)**4/8
Suppose -7 = -i + 5*x, -28*i - 5*x - 33 = -27*i. Let m be 2/9 + i + (-580)/(-45). Factor m*o - 2/9 + 1/9*o**2.
(o - 1)*(o + 2)/9
Let w(y) be the second derivative of 1/60*y**5 + 0*y**2 - 1/24*y**4 + 0 - 1/360*y**6 + 14*y + 1/2*y**3. Let m(n) be the second derivative of w(n). Factor m(a).
-(a - 1)**2
Let v(t) be the third derivative of t**5/30 - 6*t**4 + 432*t**3 - 182*t**2. Factor v(u).
2*(u - 36)**2
Let b(g) be the second derivative of 0 - 4*g**2 + 0*g**6 - 34*g + 2/3*g**4 - 4/5*g**5 + 2*g**3 + 2/21*g**7. Factor b(y).
4*(y - 1)**3*(y + 1)*(y + 2)
Factor 2/15*c**4 + 7054/15*c - 784/5 + 782/5*c**3 - 470*c**2.
2*(c - 1)**3*(c + 1176)/15
Let r(n) be the third derivative of 71*n**7/455 + 106*n**6/195 + 209*n**5/390 - n**4/78 + 5267*n**2. Factor r(m).
2*m*(m + 1)**2*(213*m - 2)/13
Let s(q) = -8*q**5 - 8*q**4 + 112*q**3 - 18*q**2 - 6*q + 12. Let k(u) = -u**5 - u**4 - 3*u**2 - u + 2. Let h(i) = -6*k(i) + s(i). Factor h(m).
-2*m**3*(m - 7)*(m + 8)
Factor -3/5*q**2 - 501/5*q + 504/5.
-3*(q - 1)*(q + 168)/5
Let k = 770 - 768. Let g be 64/(-84)*k*(-3)/4. Factor 18/7*u - g - 12/7*u**2 + 2/7*u**3.
2*(u - 4)*(u - 1)**2/7
Let d(r) be the second derivative of -r**7/39 - 38*r**6/65 - 268*r**5/65 - 24*r**4/13 + 1008*r**3/13 + 864*r**2/13 - 291*r. Find s such that d(s) = 0.
-6, -2/7, 2
Let t(z) be the third derivative of 0*z**4 - 1/30*z**5 + 0*z + 1/140*z**7 + 0*z**6 + 0*z**3 + 0 + 89*z**2 + 1/672*z**8. What is x in t(x) = 0?
-2, 0, 1
Let l(k) be the first derivative of -5*k**4/4 + 110*k**3/3 + 1165*k**2/2 + 1050*k + 327. Factor l(i).
-5*(i - 30)*(i + 1)*(i + 7)
Let j(l) be the first derivative of -4/5*l**3 - 17/25*l**5 - 247 + 0*l**2 - 26/5*l**4 + 0*l. Determine g so that j(g) = 0.
-6, -2/17, 0
Suppose -90*h + 87*h - 19 = s, 5*s - 4*h = 57. Let t(o) be the second derivative of 1/8*o**4 + 0*o**3 - 17*o + 0 + 1/10*o**s + 1/60*o**6 + 0*o**2. Factor t(w).
w**2*(w + 1)*(w + 3)/2
Let a(t) be the first derivative of -3/8*t**4 + 0*t**2 + 1/4*t**3 - 20 + 0*t + 3/20*t**5. Factor a(h).
3*h**2*(h - 1)**2/4
Factor 9/2*k**2 + 0 - 15*k + 3/2*k**3.
3*k*(k - 2)*(k + 5)/2
Suppose 2*f = 0, -2*u = -0*u - 5*f - 24. Suppose 0 = -u*v + 7*v + 20. Solve -24*c**2 + 12*c**3 - 24*c**v + 24*c - 4*c - 6 + 22*c**4 = 0 for c.
1, 3
Suppose 5*q - 2*v + 10 = 0, -4*q - 4*v - 103 = -123. Let j(i) be the third derivative of 24*i**2 + 5/14*i**4 + 1/30*i**5 + 0*i + 8/21*i**3 + q. Factor j(n).
2*(n + 4)*(7*n + 2)/7
Let s(c) be the second derivative of -3*c**5/20 - 897*c**4/4 - 268203*c**3/2 - 80192697*c**2/2 + 7*c - 4. What is d in s(d) = 0?
-299
Let f(z) be the second derivative of z**6/280 - 3*z**5/70 + z**4/7 - 93*z**2/2 + 41*z. Let p(h) be the first derivative of f(h). Let p(b) = 0. Calculate b.
0, 2, 4
Let n be (-2 + -4 - -5) + 3. Let s(g) = -3*g**2 + 132*g + 2178. Let v(l) = l**2 - 66*l - 1089. Let m(k) = n*s(k) + 5*v(k). Factor m(x).
-(x + 33)**2
Let u = 4 + -2. Let s be ((-14)/(-56))/(12/48)*0. Factor 5/3*i**u + 5/3*i + s.
5*i*(i + 1)/3
Factor -10/3*u**2 + 0 + 0*u - 2/3*u**3.
-2*u**2*(u + 5)/3
Let b = -287 + 290. Factor 17*g - 14*g - 3*g**3 + b*g**2 + 0 + 0 - 3.
-3*(g - 1)**2*(g + 1)
Factor 255*s + 7*s**3 + 632*s**2 + 10794 - 1363*s - 11162.
(s - 2)*(s + 92)*(7*s + 2)
Factor 3341760*v - 1051540480 + 5/4*v**3 - 3540*v**2.
5*(v - 944)**3/4
Let w(p) be the third derivative of p**2 + 0*p - 1/40*p**5 - 99 + 15/4*p**3 + 7/8*p**4. Suppose w(r) = 0. What is r?
-1, 15
Let n(o) be the second derivative of 6591/7*o**3 - 3 + 507/14*o**4 + 39/70*o**5 + 48*o + 0*o**2 + 1/315*o**6. Let n(b) = 0. Calculate b.
-39, 0
Factor -31*b**3 - 814*b - b**3 - 10*b**2 - 368*b**2 + 50 - 18*b**3 - 534 - 2*b**4.
-2*(b + 1)*(b + 2)*(b + 11)**2
Let t(x) be the second derivative of 13/80*x**5 + 0 - 32*x**2 + 1/120*x**6 + 1/4*x**4 + 31*x - 32/3*x**3. What is r in t(r) = 0?
-8, -1, 4
Let c(o) = 3*o**2 - 35*o + 37. Let d = -143 + 138. Let m(p) = -8*p**2 + 106*p - 112. Let a(b) = d*m(b) - 14*c(b). What is k in a(k) = 0?
-21, 1
Let p(j) be the second derivative of -4*j - 1/20*j**5 + 1/6*j**3 - 8 - 4*j**2 + 2/3*j**4. Let p(z) = 0. What is z?
-1, 1, 8
Let y = -488 + 502. Solve 8*q - y*q**2 + 16*q**2 + 2 - 12 = 0.
-5, 1
Let b(w) be the first derivative of -w**5/15 - 23*w**4/12 + 79*w**3/9 + 23*w**2/6 - 26*w - 1567. Determine r, given that b(r) = 0.
-26, -1, 1, 3
Suppose -47 + 51 = -2*b. Let i be 7 + b + (-2541)/627. Find k such that -i - 30/19*k - 2/19*k**3 - 14/19*k**2 = 0.
-3, -1
Let m = -9 - -3. Let h be (-1 - m)*27/45. Factor -10*u**2 - 3 + 17*u + 4*u**2 + 1 + 2*u**h - 11*u.
2*(u - 1)**3
Let x be (12/(-5) + 2)*(5 + -10). Let t = x - -175. Factor t*b**3 - 3 - 181*b**3 + 11*b**2 - 5*b + 1.
-(b - 2)*(b - 1)*(4*b + 1)
Factor -2/17*f**2 + 20/17 - 18/17*f.
-2*(f - 1)*(f + 10)/17
Let f(c) = 30*c**2 + 48*c + 168. Let a(u) = 9*u**2 - 4. Let x(j) = -3*a(j) + f(j). Factor x(o).
3*(o + 6)*(o + 10)
Let -147*s + 32*s**4 + 49*s - 36*s**3 + 2*s**5 + 54*s**3 + 78*s**3 + 68*s**4 - 100*s**2 = 0. What is s?
-49, -1, 0, 1
Let y = 39446 - 197228/5. Let d(g) = g + 8. Let n be d(-3). Find o such that -2*o**3 + 8/5 - 2*o**2 + 8/5*o + 2/5*o**4 + y*o**n = 0.
-2, -1, 1, 2
Let r(f) be the first derivative of f**5/72 + 5*f**4/144 - 5*f**3/6 + 6*f**2 + 82. Let t(j) be the second derivative of r(j). Suppose t(c) = 0. Calculate c.
-3, 2
Let s(z) be the third derivative of -z**6/120 - 3*z**5/5 + 5*z**4/24 + 91*z**3/3 - 3*z**2 + 34. Let h be s(-36). Suppose 1/8*i + 0 + 1/8*i**h = 0. Calculate i.
-1, 0
Let c(n) be the first derivative of -5*n**6/6 + 26*n**5 + 135*n**4/4 - 6853. Factor c(b).
-5*b**3*(b - 27)*(b + 1)
Let l(t) be the second derivative of -9*t**5/5 - 1087*t**4 + 4354*t**3/3 - 