t g(x) be the first derivative of -7*x**3 + 8*x**3 - x**3 + 51 - 1587*x - x**3 - 69*x**2. Factor g(o).
-3*(o + 23)**2
Let f(m) = -135*m**2 + 2490*m + 2400. Let l(q) = -16*q**2 + 311*q + 300. Let k(t) = -3*f(t) + 25*l(t). Factor k(c).
5*(c + 1)*(c + 60)
Let i be 10603/(-4) - (-33)/(-132). Let v = i + 34487/13. Factor -v*q - 12/13*q**2 - 2/13*q**3 - 16/13.
-2*(q + 2)**3/13
Suppose 3*z + 37 = 8*b, z = -15 + 8. Let i(k) be the first derivative of -2/9*k**3 + 4/3*k + 1/3*k**b + 8. Suppose i(q) = 0. Calculate q.
-1, 2
Let d(g) be the third derivative of g**6/30 - 3*g**5/5 + 564*g**2. Determine r so that d(r) = 0.
0, 9
Let k be 26/14 - (-8)/28. Let x be (186/21)/(-2) - (247/65*-5 - -12). Let -3/7*n**2 - x*n - k = 0. Calculate n.
-5, -1
Let r be ((-4)/42*-48 - 28/(-7)) + -6. Determine c, given that 16/7*c - 2/7*c**2 + r = 0.
-1, 9
What is g in 1296 + 4*g**2 + 136*g + 260*g + 555*g - 1291*g = 0?
4, 81
Let z(p) be the first derivative of p**4/10 + 464*p**3/15 + 10824. Factor z(f).
2*f**2*(f + 232)/5
Let m(h) be the second derivative of 0 + 2/15*h**6 - 4/3*h**3 + 1/21*h**7 + 0*h**2 + 75*h - 3/10*h**5 - 4/3*h**4. Factor m(j).
2*j*(j - 2)*(j + 1)**2*(j + 2)
Let d be (-2 + 884/414 + 22/253)*18. Let o(h) be the third derivative of 0 + 1/6*h**d + 0*h**3 + 1/15*h**5 - h**2 + 0*h. Factor o(c).
4*c*(c + 1)
Let c be (-66)/(-12) + (-15)/10. Let w(s) be the first derivative of 1/2*s - 1/8*s**2 - 1 + 1/20*s**5 - 1/4*s**3 + 1/16*s**c. Factor w(d).
(d - 1)**2*(d + 1)*(d + 2)/4
Let v(k) be the third derivative of k**8/16800 + 2*k**7/1575 - k**6/200 - 19*k**4/6 + 94*k**2. Let t(i) be the second derivative of v(i). Factor t(a).
2*a*(a - 1)*(a + 9)/5
Let w(l) be the first derivative of l**7/420 - l**6/30 + 3*l**5/20 - l**4/3 + 8*l**3 + l**2 - 60. Let a(q) be the third derivative of w(q). Factor a(u).
2*(u - 4)*(u - 1)**2
Factor -3 - 39/4*j - 45/4*j**2 - 21/4*j**3 - 3/4*j**4.
-3*(j + 1)**3*(j + 4)/4
Let v(z) be the first derivative of 3*z**4/4 - 17*z**3 - 123*z**2/2 + 171*z + 2661. Factor v(k).
3*(k - 19)*(k - 1)*(k + 3)
Let f be (-1)/(-6)*-20*15/(-10). Suppose 21*y**4 + 51*y - 91*y - 3*y**f + 40*y = 0. What is y?
0, 7
Let t = -165369 + 165371. Determine p so that -1/4*p**t + 2*p + 9/4 = 0.
-1, 9
Find i, given that 3/7*i**4 + 141/7*i**3 + 612/7 - 615/7*i**2 - 141/7*i = 0.
-51, -1, 1, 4
Factor 5*b**3 - 918*b**2 + 2889*b + 3485*b - 1686*b + 592*b + 6203*b**2.
5*b*(b + 1)*(b + 1056)
Let i = -151660 - -151663. Suppose 61/6*h**3 - i*h**4 + 1/6*h**5 + 30*h**2 + 0 + 50/3*h = 0. Calculate h.
-1, 0, 10
Let z(a) be the second derivative of a**5/20 - 4*a**4/3 + 8*a**3/3 - 13*a**2/2 - 5*a. Let t be z(15). Factor -5*k - 6 - 25*k**3 - 3 + 40*k**t - 1.
-5*(k - 1)**2*(5*k + 2)
Let f(s) = -2*s**2 + 38*s + 96. Let y(x) = 3*x**2 - 75*x - 192. Let n be 19/9 + (-2)/18. Let j(h) = n*y(h) + 5*f(h). What is d in j(d) = 0?
-2, 12
Let k = -1/71109 - -213329/142218. Factor 0*w + 0*w**2 - 3/8*w**5 + 0*w**4 + k*w**3 + 0.
-3*w**3*(w - 2)*(w + 2)/8
Let q = 23627/75 + -315. Let s(h) be the second derivative of 0 + q*h**5 - 1/18*h**4 - 21*h - 1/225*h**6 + 0*h**2 + 2/45*h**3. Determine o so that s(o) = 0.
0, 1, 2
Let d(y) be the third derivative of y**5/30 - y**4 - 53*y**3/6 - 5*y**2 - 6. Let n be d(14). Factor 3/2*c**4 - n*c**3 - 9/2*c**2 + 6 + 6*c.
3*(c - 2)**2*(c + 1)**2/2
Determine f, given that 319*f**2 - 322*f**2 + 7*f + 197*f - 585 = 0.
3, 65
Suppose 3*x + 4*a + 580 = 0, 4*a + 505 + 459 = -5*x. Let p = 194 + x. Suppose 0*y + 3/8*y**3 + 0 + 3/2*y**p = 0. What is y?
-4, 0
Let l(x) = x**3 + 51*x**2 + 24*x - 197. Let u be l(-51). Let a be (-98)/u + (-5)/((-290)/692). Suppose -1/2 - 8*i**4 + 4*i + 16*i**3 - a*i**2 = 0. Calculate i.
1/2
Suppose -2*v + 5 = 3*d, -4*d - 6 = -5*d - 5*v. Let b be (d*(3 + 0))/(50 - 45). Find g, given that 0 - b*g**2 - 12/5*g = 0.
-4, 0
Let k(a) be the first derivative of 0*a**5 - 231 - 1/6*a**6 + 3/2*a**2 + 3/2*a**4 + 8/3*a**3 + 0*a. Factor k(g).
-g*(g - 3)*(g + 1)**3
Suppose -33*k = -31*k + 18. Let n be 6/k + 56/12. Suppose -12 + 14*q**2 + n*q**3 - 2*q - 2*q**4 + 4*q - 7*q**3 + q**3 = 0. Calculate q.
-3, -1, 1, 2
Factor -24 + 78*i + 2652*i**2 - 5231*i**2 + 12*i**3 + 2648*i**2.
3*(i + 2)*(i + 4)*(4*i - 1)
Let m = -46318/87 + 18378/29. Let 4/3*d**5 + 120*d**2 + 16*d**4 + 32 + m*d + 196/3*d**3 = 0. Calculate d.
-6, -2, -1
Let g(z) be the second derivative of -z**5/90 - 2*z**4/9 - 53*z**2/2 - 2*z + 20. Let b(h) be the first derivative of g(h). Factor b(u).
-2*u*(u + 8)/3
Let y = 1552 + -1552. Suppose -7*c - 72 + 86 = y. Solve -2/7*z**3 + 2*z**c + 0 + 16/7*z = 0.
-1, 0, 8
Let 2*k**4 - 103*k**3 - 264*k - 5*k**4 + 784 - 826*k**2 - 1750 + 966 = 0. Calculate k.
-22, -12, -1/3, 0
Factor -216 + 135*i**2 + 20 - 282*i**2 + 4*i**3 - 57*i**2 + 396*i.
4*(i - 49)*(i - 1)**2
Let r(t) = t**3 - 42*t**2 + 72*t - 142. Let n be r(39). Let w = 1899 + n. Solve 2/5*o + 12/5*o**3 - 26/5*o**w + 4/5 = 0 for o.
-1/3, 1/2, 2
Let a be 3*((-2 - 0) + 30/9). Let i be -1 - 0 - ((a - 9) + 1). Factor -60*g**2 + 4*g**i - 3*g**5 + 57*g - 18 + 14*g**3 - 276*g**4 + 282*g**4.
-3*(g - 2)*(g - 1)**3*(g + 3)
Let j(t) be the second derivative of -13/2*t**3 + 1/5*t**6 + 0 - 9*t**2 - 52*t - 5/3*t**4 + 3/10*t**5 + 1/42*t**7. Factor j(x).
(x - 2)*(x + 1)**2*(x + 3)**2
Let u = -69 + 63. Let t be 24/(-6) - (u + -1). Find i, given that -2*i**3 + 0*i**2 - 125 - 175*i - 55*i**2 - 3*i**t = 0.
-5, -1
Let g(b) be the third derivative of b**6/40 + 9*b**5/10 + 10*b**4 - 639*b**2. Factor g(t).
3*t*(t + 8)*(t + 10)
Let j be -1*0*((3 - 14) + 12). Let v(a) be the third derivative of -1/96*a**4 - 14*a**2 + 0 + 1/480*a**6 + 0*a + 0*a**5 + j*a**3. Solve v(r) = 0.
-1, 0, 1
Factor -13456/5 - 1/5*q**2 - 232/5*q.
-(q + 116)**2/5
Let z be 18361/(-35) - (-12)/(-30). Let y = 2634/5 + z. Find a such that 0*a**4 + 0*a - y*a**3 + 3/5*a**5 + 6/5*a**2 + 0 = 0.
-2, 0, 1
Suppose 0 = -223*m + 282*m. Let y(r) be the second derivative of 0*r**3 - 2/27*r**4 + 1/30*r**5 + 0 + 1/135*r**6 + 33*r + m*r**2. Find b such that y(b) = 0.
-4, 0, 1
Let h = -20 + 26. Suppose -6 = -4*v - a, v - 3*a = -7*a - h. Suppose -12*x + 29*x**v - 6 - 15*x**2 - 40*x - 10 = 0. What is x?
-2/7, 4
Suppose 0 = -137*p + 142*p - 10. Find i, given that 1 - p + 1 - 4*i**4 + 7*i**3 - 4*i**2 + i**3 = 0.
0, 1
Let o(y) be the second derivative of 1/21*y**3 - 77*y + 1/42*y**4 + 0 - 6/7*y**2. Factor o(i).
2*(i - 2)*(i + 3)/7
Let y(h) be the second derivative of -h**6/2700 - 2*h**5/225 - 7*h**4/180 + h**3/3 - 18*h**2 - 6*h. Let f(v) be the second derivative of y(v). Factor f(w).
-2*(w + 1)*(w + 7)/15
Let w(i) be the second derivative of i**5/60 - 31*i**4/9 + 365*i**3/18 - 121*i**2/3 - 2*i + 1076. Factor w(q).
(q - 121)*(q - 2)*(q - 1)/3
Let s = 26/22849 - -22667/159943. Factor -26/7 - s*h**2 - 27/7*h.
-(h + 1)*(h + 26)/7
Let t(z) be the first derivative of 2*z**2 + 99 + 4/3*z**3 - 48*z. Factor t(b).
4*(b - 3)*(b + 4)
Let 172*i - 24 - 2257/6*i**2 + 1369/6*i**3 = 0. Calculate i.
12/37, 1
Let v be (-12)/2 + 6894/766. What is m in -2/3*m**v + 16/9*m + 2/9*m**2 + 8/9 = 0?
-1, -2/3, 2
Let q = 2356 - 2354. Let f(k) be the third derivative of 0 + 0*k**3 - 1/6*k**4 + 11*k**q + 2/15*k**5 - 1/30*k**6 + 0*k. Suppose f(c) = 0. Calculate c.
0, 1
Solve -1 - 21/4*x**2 - 1/2*x**4 + 11/4*x**3 + 4*x = 0.
1/2, 1, 2
Let j be 50 + 0 + (-15 - -16). Find p such that j*p + 9*p**4 - 54*p - p**2 - 21*p**3 + 16*p**2 = 0.
0, 1/3, 1
Let x(q) = 7*q**3 + 245*q**2 - 352*q + 72. Let n(f) = -7*f**3 - 248*f**2 + 349*f - 73. Let p(h) = -4*n(h) - 3*x(h). Determine j, given that p(j) = 0.
-38, 2/7, 1
Let s(n) be the second derivative of n**4/66 + 926*n**3/33 + 214369*n**2/11 - 2036*n. Find b, given that s(b) = 0.
-463
Suppose -4*q - 31 = -0*q + 5*i, 15 = 3*i. Let v be 2 - 3/2*q/(-21). Factor 30*k**3 + 2*k**3 - 3 - 48*k**2 + 8*k + v + 10*k.
2*(k - 1)*(4*k - 1)**2
Let k(b) = -3*b**3 + 983*b**2 + 88487*b - 898690. Let v(h) = -2*h**3 + 1018*h**2 + 88486*h - 898692. Let i(c) = 6*k(c) - 7*v(c). Let i(j) = 0. What is j?
-158, 9
Let l(x) be the second derivative of -31/2*x**4 - 16*x**2 - 5/6*x**6 - 2*x - 23/4*x**5 - 221 - 64/3*x**3. Factor l(r).
-(r + 1)*(r + 2)*(5*r + 4)**2
Let h = 3/295079 + 3836012/1475395. Factor 6/5 - 1/5*y**3 - h*y + 8/5*y**2.
-(y - 6)*(y - 1)**2/5
Let l(m) be the second derivative of 5/3*m**3 - 46/5*m**2 - 25*m + 2 - 