/4*f - 1/4*f**5 - 3/2*f**b + 0 + f**o + f**4 = 0.
0, 1
Factor 2/3*p**2 - 340/3*p + 14450/3.
2*(p - 85)**2/3
Let m(l) be the first derivative of -l**6/36 + 29*l**5/10 - 375*l**4/4 + 879*l**3 - 14391*l**2/4 + 13689*l/2 - 1316. Factor m(j).
-(j - 39)**2*(j - 3)**3/6
Let w = -289709/15 + 19333. Let g = -92/5 + w. Factor -g*l**3 + 0 + 4/3*l**2 + 0*l.
-2*l**2*(l - 2)/3
Solve -2/7*a - 482/7 + 482/7*a**2 + 2/7*a**3 = 0 for a.
-241, -1, 1
Factor 7/2*l**4 + 2*l + 10*l**2 + 0 + 23/2*l**3.
l*(l + 1)*(l + 2)*(7*l + 2)/2
Let t(b) = -b**3 - 2*b**2 + 1. Let h(q) be the third derivative of -q**6/40 - q**5/3 + 2*q**3/3 - 28*q**2 - 2*q. Let m(u) = h(u) - 4*t(u). Factor m(j).
j**2*(j - 12)
Let x(u) = -178*u**3 + 4*u**2 + 6*u + 4. Let r be x(-2). Solve -1440*p**4 - r*p**2 - 1379*p**3 - 144*p**3 - 689*p**3 - 305*p - 324*p**5 - 63*p - 32 = 0 for p.
-2, -1, -2/9
Let a(m) be the first derivative of -3/2*m**4 - 4/9*m**3 + 66 + 3*m**2 + 4/3*m. Factor a(v).
-2*(v - 1)*(v + 1)*(9*v + 2)/3
Let x(t) be the second derivative of -1/18*t**4 - 16/9*t**3 - 2*t - 24 + 0*t**2. Factor x(d).
-2*d*(d + 16)/3
Let i(f) = f**3 - 20*f**2 + 3*f + 16. Suppose -5*m - 9 = -34. Let j(p) = -2*p**3 + 22*p**2 - 3*p - 17. Let v(b) = m*i(b) + 4*j(b). Factor v(l).
-3*(l - 1)*(l + 1)*(l + 4)
Let z = 16 + 13. Let u = -23 + z. Factor 2 - 6 + u*l + 1 + 3*l**2 + 6.
3*(l + 1)**2
Let u = 199585/62 - 3219. Let l = 559/558 - u. Factor l*t - 2/9 - 4/3*t**2 - 2/9*t**4 + 8/9*t**3.
-2*(t - 1)**4/9
Factor -1122*t + 208/5*t**2 + 10404/5 - 2/5*t**3.
-2*(t - 51)**2*(t - 2)/5
Let j(n) be the third derivative of n**7/840 - n**6/120 - n**4/3 + n**3/2 - 2*n**2 - 3. Let q(h) be the second derivative of j(h). Factor q(k).
3*k*(k - 2)
Factor 1/4*x**2 - 633/2*x + 0.
x*(x - 1266)/4
Let n be 8 + -14 - (-3 - 47). Determine o, given that 4*o**3 - 14*o**3 - 47*o**4 - n*o**4 + 96*o**4 = 0.
0, 2
Let y be -10 + ((-634735)/282)/(-73). Factor -25/3*x + y + 5/6*x**2.
5*(x - 5)**2/6
Let p = -68219/36 + 1895. Let c(q) be the second derivative of -3*q - p*q**4 + 1/6*q**3 - 1/3*q**2 + 0. Suppose c(o) = 0. Calculate o.
1, 2
Suppose -548 + 150 = -199*k. Let -1/4*o**4 - o - 3/2*o**k - 1/4 - o**3 = 0. Calculate o.
-1
Suppose -8*r + 102 + 66 = 0. Suppose -r*g**3 + 7*g**2 + 26*g**2 - 51*g + 18*g**2 + 3*g**4 + 18 = 0. Calculate g.
1, 2, 3
Let n(d) = -9*d**2 - 22*d - 4. Let l be n(-2). Suppose 4*y**2 - y**l + 0*y**2 - 4*y**3 - 398*y - 3*y**4 + 402*y = 0. What is y?
-1, 0, 1
Let z(g) be the first derivative of -2*g**3/15 + 348*g**2/5 - 60552*g/5 + 812. Factor z(a).
-2*(a - 174)**2/5
Let g be -12 + 4 + 37 + -1. Let j be (-3535)/(-1470) + (-2)/g. Factor 0*f + f**5 + j*f**3 + 0 + 8/3*f**4 + 2/3*f**2.
f**2*(f + 1)**2*(3*f + 2)/3
Let 25350*u + 230/9*u**4 - 2/9*u**5 + 11180*u**2 - 8660/9*u**3 + 13182 = 0. Calculate u.
-1, 39
Let w(l) be the first derivative of 1/12*l**4 + 8/3*l + 108 - 2/3*l**2 + 1/15*l**5 - 2/3*l**3. Factor w(j).
(j - 2)*(j - 1)*(j + 2)**2/3
Let p(w) be the third derivative of w**5/270 + 15*w**4 + 24300*w**3 + 8*w**2 - 14*w. Factor p(u).
2*(u + 810)**2/9
Suppose 227*g - 221*g + 60 = 0. Let m be ((-8)/(-54))/(g + (-242)/(-24)). Let -8/9*o**2 - 8/9 - 20/9*o + m*o**3 + 16/9*o**4 + 4/9*o**5 = 0. Calculate o.
-2, -1, 1
Let n = 395405/4 + -98851. Find s such that s**4 + 2*s**3 - 7/2*s**2 - n*s**5 + 5/2 - 7/4*s = 0.
-2, -1, 1, 5
Let r(l) = -3*l**2 + 55*l - 113. Let o(m) = -m**2 + 27*m - 56. Suppose -10*n + 9 = -9*n - 4*d, 2*d - 8 = -2*n. Let y(x) = n*o(x) - 2*r(x). Factor y(u).
(u - 2)*(u + 27)
Let g = -588 + 591. Let t(f) be the second derivative of 0 + 7/4*f**4 - 3/20*f**5 + 17*f + 27/2*f**2 - 15/2*f**g. Let t(y) = 0. What is y?
1, 3
Let n(p) be the first derivative of -3/7*p**4 + 0*p - 60 - 2/35*p**5 - 8/7*p**2 + 10/7*p**3. Factor n(y).
-2*y*(y - 1)**2*(y + 8)/7
Let r(b) be the first derivative of -2*b**5/15 - 31*b**4/6 + 22*b**3/3 + 31*b**2/3 - 64*b/3 - 1146. Suppose r(g) = 0. Calculate g.
-32, -1, 1
Let m(j) be the first derivative of 1362828*j**3/5 + 2022*j**2/5 + j/5 + 3412. Find r, given that m(r) = 0.
-1/2022
Let l(n) = -n**2 - 6*n + 88. Let a be l(-13). Let u be (3 + a)*3/6. Suppose u - 6/7*c**2 + 0*c - 18/7*c**4 - 18/7*c**3 - 6/7*c**5 = 0. Calculate c.
-1, 0
Let v = -372652/17 - -745321/34. What is p in p**2 - 1 - v*p**5 - 3/2*p + 2*p**3 + 0*p**4 = 0?
-1, 1, 2
Let c(d) be the second derivative of d**5/15 - 2*d**3/3 + 41*d**2 + 4*d - 24. Let u(l) be the first derivative of c(l). Find p, given that u(p) = 0.
-1, 1
Let b(d) = -21*d**2 - 3003*d + 15. Let w(k) = -10*k**2 - 1503*k + 7. Let c(t) = 7*b(t) - 15*w(t). Factor c(r).
3*r*(r + 508)
Let y(f) be the first derivative of 529*f**4/10 + 92*f**3 + 60*f**2 + 214*f - 7. Let v(c) be the first derivative of y(c). Find n such that v(n) = 0.
-10/23
Factor -1787*h + 3*h**2 - 4830*h + 2051880 + 2283*h + 2146587 - 2764*h.
3*(h - 1183)**2
Let f = 2944 + -2941. Let b(y) be the third derivative of -1/720*y**6 + 0 - 1/90*y**5 - 7*y**2 + 0*y**f + 0*y - 1/48*y**4. Determine h, given that b(h) = 0.
-3, -1, 0
Let o(w) be the third derivative of w**5/15 - 632*w**4/3 + 842*w**3 + 4*w**2 - 118. Suppose o(c) = 0. Calculate c.
1, 1263
Factor -87/8*t**2 + 171/2*t + 3/8*t**3 - 405/2.
3*(t - 18)*(t - 6)*(t - 5)/8
Suppose 46/3*s**3 + 196/3*s**2 + 2/3*s**4 + 48 + 296/3*s = 0. Calculate s.
-18, -2, -1
Let n be 27 + -2 + (-10)/15*-3. Suppose 9*w = n*w - 36. Factor 0*v**w + 4*v**2 - 29*v + v**2 + 69*v.
5*v*(v + 8)
Let y(b) be the third derivative of -2*b**3 - 23/24*b**4 + 49*b**2 + 0 + 1/30*b**5 + 0*b. Factor y(k).
(k - 12)*(2*k + 1)
Suppose 0*s + 2*g + 3141 = 3*s, -4*s + 4*g + 4184 = 0. Solve 4*l**2 - 383 + 144*l + 154 + s + 476 = 0 for l.
-18
Let s(r) = -17*r**3 - 18*r**2 - 20*r. Let q(g) = -156*g**3 - 10 + 10 - 7*g + 151*g**3 - g**2 - 5*g**2. Let p(l) = -21*q(l) + 6*s(l). Let p(y) = 0. Calculate y.
-3, 0
Suppose -4*b - 8 = 0, 2*f + 5*b + 0 = -8. Suppose 5*k - 3 = 2*n, -3*n + 57 = 5*k - f. Factor n*i**4 - 5*i**4 + 10*i**2 - 5 - 11*i**4.
-5*(i - 1)**2*(i + 1)**2
Let w(y) be the third derivative of -16/15*y**5 + 0 - 38*y - 2/3*y**4 + 0*y**3 + 1/12*y**8 + 2*y**2 + 32/105*y**7 - 1/10*y**6. Solve w(z) = 0 for z.
-2, -1, -2/7, 0, 1
Let 2596/5*w**2 + 482*w**3 + 734/5*w**4 + 14 - 23/5*w**5 + 1013/5*w = 0. Calculate w.
-1, -2/23, 35
Suppose -19*y + 92 = -60. Suppose -23*i**2 + 4*i**2 + 4*i**2 + y*i**3 + 27*i**3 = 0. Calculate i.
0, 3/7
Let z(n) be the first derivative of 46/7*n + 102 - 2/21*n**3 + 22/7*n**2. Factor z(p).
-2*(p - 23)*(p + 1)/7
What is y in -73/4*y**3 + 4 - 3/4*y**5 - 16*y + 99/4*y**2 + 25/4*y**4 = 0?
1, 4/3, 4
Let p(n) be the first derivative of -3*n**4/4 - 271*n**3/12 - 155*n**2/8 - 11*n/2 - 1216. Determine g, given that p(g) = 0.
-22, -1/3, -1/4
Let s(q) be the third derivative of 0 - 1/160*q**6 + 1/4*q**3 + 0*q**5 + 3/32*q**4 - 3*q**2 + 19*q. Factor s(g).
-3*(g - 2)*(g + 1)**2/4
Let k(w) = -9*w**3 - 46*w**2 - 461*w - 375. Let j(q) = -4*q**3 - 24*q**2 - 230*q - 189. Let r(i) = 7*j(i) - 3*k(i). Suppose r(c) = 0. Calculate c.
-18, -11, -1
Let n(m) = 2 + 19*m - 3*m - 7*m - 7*m. Let d be n(14). Factor -d*i - i**3 + 23*i - 12*i**2 - 50 - 38*i.
-(i + 2)*(i + 5)**2
Let m = -12825335/13 + 986567. Find w such that m*w + 6/13*w**2 + 0 - 2/13*w**3 = 0.
-3, 0, 6
Let d = 157/2382 + 3/3970. Let y(m) be the second derivative of 3*m + 0*m**4 + 0 + 4/3*m**3 + 0*m**2 - 3/10*m**5 + d*m**6. Factor y(t).
2*t*(t - 2)**2*(t + 1)
Let q be (-140)/40*(-6)/3. Suppose -6*v + q*v = -v. Factor -6/11*x**2 - 4/11*x - 2/11*x**3 + v.
-2*x*(x + 1)*(x + 2)/11
Let s(l) be the first derivative of 7*l**3/15 - 711*l**2/10 - 306*l/5 - 838. Factor s(b).
(b - 102)*(7*b + 3)/5
Let 402 + 3/2*r**5 - 591/2*r**2 - 411/2*r**3 + 408*r + 195/2*r**4 = 0. Calculate r.
-67, -1, 2
Find z, given that 48 - 2/3*z**2 + 142/3*z = 0.
-1, 72
Let c = 3072 - 3069. Let a(n) be the third derivative of 0*n**4 - 1/350*n**7 + 0*n**5 + 6*n**2 + 0*n**c + 0 + 0*n + 0*n**6. Factor a(r).
-3*r**4/5
Let i(h) = h**3 + 5*h**2 - 2*h. Let m be i(-3). Suppose -m = -22*c + 16*c. Factor 4*f**2 + 10*f**3 + 2*f**3 - 24*f**4 - 10*f**4 + 46*f**c + 4*f**5.
4*f**2*(f + 1)**3
Let i = 18 - 29. Let x = 15 + i. Determine s so that -3*s**3 - 4*s**4 + 2*s**4 + s**4 - 3*s**5 - 5*s**x = 0.
-1, 0
Let t = 339057/791231 - -6/113033. Factor 36/7*a + 0 + 39/7*a**2 + 0*a**3 - t*a**4.
-3*a*(a - 4)*(a