*4 - 25 + 629856*d + 25 + 116*d**3 - 38*d**4 + 532*d**3 + 34992*d**2.
4*d*(d + 54)**3
Let b be 6/((-5)/4*(-128)/80). Let h(t) be the third derivative of 0*t + 0*t**4 + 0*t**b + 0 - 1/105*t**5 + 1/420*t**6 - 5*t**2. Factor h(i).
2*i**2*(i - 2)/7
Let j be (-18)/(-24) + (-125)/(-20). Let v(g) = -g**3 + 3*g**2 + 27*g + 23. Let q be v(j). Let q*a - 22/3*a**2 - 8/3 = 0. What is a?
2/11, 2
Let r(g) = 2*g**3 + g - 1. Let k(t) = 2*t**3 - 60*t**2 + 151*t - 95. Suppose 0 = f + 2*c + 9, -2*f + 3*c + 16 = -f. Let z(d) = f*r(d) + k(d). Factor z(i).
4*(i - 12)*(i - 2)*(i - 1)
Let m(w) be the first derivative of 2*w**5/5 + 45*w**4/2 - 92*w**3/3 + 6227. Factor m(b).
2*b**2*(b - 1)*(b + 46)
Factor t**2 + 198 + 221 + 15*t - 473.
(t - 3)*(t + 18)
Let a(f) = 2*f - 1 + 7*f**2 - 2*f**3 + 16*f**2 + 15*f**2 - 40*f**2. Let h(r) = -5*r**3 - 4*r**2 + 5*r - 3. Let b(c) = 7*a(c) - 3*h(c). Factor b(m).
(m - 2)*(m - 1)*(m + 1)
Let c(v) be the first derivative of v**4/12 - 25*v**3/9 - 68*v**2 - 444*v + 878. Find j such that c(j) = 0.
-6, 37
Let z(b) be the third derivative of 6*b**4 + 0*b + 288*b**3 + 1/20*b**5 - 44 + 2*b**2. Factor z(f).
3*(f + 24)**2
Let k(z) be the third derivative of z**6/90 - 4*z**5/15 - 6*z**4 - 2307*z**2. Find f such that k(f) = 0.
-6, 0, 18
Let i = 85218/11 - 170425/22. Factor -1/3*o - 1/6*o**4 - i*o**3 + 1/6*o**5 + 0 + 5/6*o**2.
o*(o - 1)**3*(o + 2)/6
Let m be 147*20/580 + 52/(-754). Solve 0 + 76/11*w**3 - 40/11*w**4 + 6/11*w**m - 18/11*w - 24/11*w**2 = 0 for w.
-1/3, 0, 1, 3
Let d = -59/1235 + 10293/8645. Let 16/7 - 4/7*b**3 + 4*b + d*b**2 = 0. What is b?
-1, 4
Let x(u) = -3*u - 7. Let y be x(-5). Suppose 3 = z + f, y*z - f - 9 = 3*z. Suppose 165*p**3 - 36*p**4 - 42*p**z - 18*p**4 - 9*p**4 + 24 - 84*p = 0. Calculate p.
-2/3, 2/7, 1, 2
Let y = -202778 - -202780. Find w such that -4*w**y + 0 + 0*w + 2*w**3 - 1/4*w**4 = 0.
0, 4
Let x(s) be the first derivative of -14 - 16/21*s**6 - 16/5*s**5 - 25/14*s**4 + 0*s**2 - 2/7*s**3 + 0*s. Factor x(g).
-2*g**2*(g + 3)*(4*g + 1)**2/7
Let c(n) be the second derivative of 5*n**7/42 + n**6 + 5*n**5/4 - 20*n**4/3 - 10*n**3 + 40*n**2 - 2147*n. Find f, given that c(f) = 0.
-4, -2, 1
Factor 40*l**3 + 198*l**2 + 26*l**2 + 5*l**4 - 39*l**2 - 19*l**2 + 45 - 56*l**2 + 120*l.
5*(l + 1)**2*(l + 3)**2
Factor 29506624 - 12973*v + 4418*v + 4*v**2 - 13173*v.
4*(v - 2716)**2
Let d(y) be the second derivative of -11*y**7/98 - 34*y**6/35 + 1053*y**5/140 + 143*y**4/7 - 50*y**3 - 216*y**2/7 - 154*y - 1. Determine k so that d(k) = 0.
-9, -2, -2/11, 1, 4
Determine u, given that -12/7*u + 10/7*u**2 + 0 - 2/7*u**4 + 4/7*u**3 = 0.
-2, 0, 1, 3
Let d = 4665 - 46647/10. Let r(n) be the second derivative of 3/100*n**5 - d*n**3 + 3/5*n**2 + 0 + 0*n**4 - 38*n. Factor r(f).
3*(f - 1)**2*(f + 2)/5
Let q be (-2 - 44/(-24))*9735/1300. Let i = -5/104 - q. Let i*u**2 + 0 - 6/5*u**4 - 2/5*u**3 + 4/5*u - 2/5*u**5 = 0. Calculate u.
-2, -1, 0, 1
Let d be ((-21)/(-6))/(-7)*0 - -4. Suppose 0 = -d*s + 9 + 7. Factor 19*j**5 - 7*j**5 + 14*j**s + 3*j**3 + j**4.
3*j**3*(j + 1)*(4*j + 1)
Suppose -160*p = -170*p. Let u(r) be the first derivative of 8 + p*r**4 + 6/35*r**5 + 0*r**2 - 2/7*r**3 + 0*r. Let u(f) = 0. Calculate f.
-1, 0, 1
Suppose -3964 = 26*z + 2432. Let d = z - -246. Find c such that d + 8/13*c - 6/13*c**2 - 2/13*c**3 = 0.
-4, 0, 1
Suppose -2*k + 1759*z - 1762*z = 26, 50 = -5*z. Find y, given that -2/13*y**k - 16/13 - 18/13*y = 0.
-8, -1
Let b(s) = 12*s + 2. Let y be b(-1). Let u(v) = -v**2 - 10*v + 4. Let c be u(y). Factor 3*h**c - h**2 + 3*h**4 - 5*h**4.
h**2*(h - 1)*(h + 1)
Factor 2/3*a**2 + 90 + 16*a.
2*(a + 9)*(a + 15)/3
Let i(q) be the third derivative of 180*q**2 + 1/30*q**5 + 0 + 0*q - 8*q**3 + 5/6*q**4. Factor i(h).
2*(h - 2)*(h + 12)
Let j(g) = -4*g**2 - 7246*g - 43328. Let h be j(-6). Determine n, given that -200/3*n**h - 64/3*n**5 - 32/3*n**2 + 1 + 19/6*n - 54*n**3 = 0.
-2, -1/2, -3/8, 1/4
Let i(n) be the third derivative of n**6/24 + 65*n**5/6 + 1285*n**4/24 + 320*n**3/3 + 194*n**2 + 1. Suppose i(c) = 0. What is c?
-128, -1
Let d(x) be the second derivative of 1/30*x**5 - 7*x + 0*x**2 + 1 - 1/18*x**4 - 2/9*x**3. Find n such that d(n) = 0.
-1, 0, 2
Factor -34/5*y - 32/5 - 2/5*y**2.
-2*(y + 1)*(y + 16)/5
Let c be 9/(63/(-35)) - 10913/95. Let v = c + 602/5. Factor 0 + 4/19*q**2 + v*q**3 + 0*q + 4/19*q**4.
2*q**2*(q + 2)*(2*q + 1)/19
Let a(f) be the first derivative of -4*f**3/3 - 1128*f**2 - 318096*f + 236. Factor a(x).
-4*(x + 282)**2
Let b(p) = -5*p**2 + 70*p - 80. Let m = -522 - -517. Let u(f) = 5*f**2 - 72*f + 79. Let k(a) = m*u(a) - 4*b(a). Determine j, given that k(j) = 0.
1, 15
Let m = -751 + 747. Let p be (-1)/(1/m) - 532/(-57). What is l in -p*l**5 + 71/3*l**2 - 19/3*l - 130/3*l**3 + 116/3*l**4 + 2/3 = 0?
2/5, 1/2, 1
Let l be 2 + 4/(2 - -2)*-1. Let k(u) = -1. Let p(r) = 245*r**2 - 420*r + 184. Let q(x) = l*p(x) + 4*k(x). Factor q(i).
5*(7*i - 6)**2
Let 84/5 + 2/15*r**3 + 62/5*r + 8/3*r**2 = 0. Calculate r.
-14, -3
Suppose 8 = 2*u - 5*h - 2, 2*u - 4 = 2*h. Factor 4*d**3 + 6*d**2 - 23*d**4 + 41*d**4 - 20*d**4 + u*d**3.
-2*d**2*(d - 3)*(d + 1)
Let p = 40132 - 3130295/78. Let h(x) be the second derivative of 6/13*x**2 + 2*x - 15 - 7/39*x**3 + p*x**4. Find d, given that h(d) = 0.
1, 6
Let m(l) be the first derivative of -33/4*l**4 - 20*l**3 - 21/2*l**2 + 6*l - 127. Find z, given that m(z) = 0.
-1, 2/11
Factor 8908*a + 174 + a**2 - 7308 + 3*a**2 + 2434 - 4212.
4*(a - 1)*(a + 2228)
Let u(m) = 1. Let j(b) = 303 + 998 + 628 - 110*b - 14*b + 2*b**2. Let f(o) = 2*j(o) - 14*u(o). Factor f(n).
4*(n - 31)**2
Let i(b) = -b**3 - 26*b**2 + 28*b + 30. Let v be i(-27). Factor 1214*y**3 + 591*y + 24*y**4 - 608*y**3 + 894*y**2 + 142*y**4 + v*y**5 - 7*y**4 + 147.
3*(y + 1)**4*(y + 49)
Let r(b) = -4*b**2 - 12*b - 3*b - 4 + 28 - 2*b**3 + 17*b. Let w(j) = -2. Let k(l) = r(l) + 10*w(l). Factor k(u).
-2*(u - 1)*(u + 1)*(u + 2)
Factor 0 - 1/2*d**4 + 0*d**2 + 0*d - 7/2*d**3.
-d**3*(d + 7)/2
Let q(k) = k**2 - 5*k + 0*k**2 + 214 - 197. Let l be q(17). Factor -113*a - 10 - 93*a + 10*a**2 + l*a.
5*(a + 2)*(2*a - 1)
Let p = 5 + -2. Let g = -229 + 285. Factor 96*j - 2*j**2 - g*j + j**2 - 100 - p*j**2.
-4*(j - 5)**2
Let h(c) be the second derivative of -21*c**7/2 - 1561*c**6/10 - 2538*c**5/5 - 624*c**4 - 256*c**3 - 9840*c + 1. Let h(z) = 0. What is z?
-8, -8/7, -1/3, 0
Let m be (32 - (-6996)/(-220))*(-60)/(-3). Let 0*d + 0 + 4/5*d**3 + 2/5*d**m - 6/5*d**2 = 0. Calculate d.
-3, 0, 1
Let l(v) = v - 4. Let u be l(4). Let g(r) = -3*r**2 - 270*r + 45410. Let n be g(-176). Determine j, given that 5/2*j + 5/3 - 5/6*j**3 + u*j**n = 0.
-1, 2
Factor -20789*g**2 - 1008*g + 20609*g**2 + 3870*g - 1520 + 1010*g.
-4*(5*g - 2)*(9*g - 190)
Let i = -26 + 34. Suppose i*m = -3*m + 275. Factor 35*r - m*r**4 + 10*r**3 - 10 + 35*r**4 - 40*r**2 - 6*r**5 + r**5.
-5*(r - 1)**4*(r + 2)
Factor -1/3*x + 1/3*x**2 - 56/3.
(x - 8)*(x + 7)/3
Let q(b) be the third derivative of 145*b**2 + 47/9*b**3 + 4/3*b**4 + 0*b + 0 + 1/90*b**5. Factor q(z).
2*(z + 1)*(z + 47)/3
Let u(n) be the third derivative of -n**5/240 + 89*n**4/32 + 135*n**3/4 + 22*n**2 - 68. Let u(t) = 0. Calculate t.
-3, 270
Let a = -3712 - -3712. Let v(j) be the third derivative of 5/3*j**3 - 5/18*j**5 + 21*j**2 + a*j + 55/72*j**4 + 0. Factor v(l).
-5*(2*l - 3)*(5*l + 2)/3
Let v(g) be the second derivative of g**6/15 - 161*g**5/45 + 158*g**4/3 + 24*g**3 - 48*g + 2. Factor v(s).
2*s*(s - 18)**2*(9*s + 2)/9
Let o(s) be the second derivative of s**5/120 + 521*s**4/24 + 271441*s**3/12 + 141420761*s**2/12 - 353*s. Factor o(a).
(a + 521)**3/6
Let w(b) be the third derivative of -b**7/6 - 11*b**6/24 + b**5/4 + 55*b**4/24 + 10*b**3/3 + 429*b**2 - 2*b. Solve w(r) = 0 for r.
-1, -4/7, 1
Let u(i) be the third derivative of -1/9*i**4 + 10/3*i**3 + 0 - 1/45*i**5 + 26*i**2 + 0*i. Suppose u(g) = 0. What is g?
-5, 3
Factor 18/5*p**4 + 0*p + 17/5*p**3 + 0 + 1/5*p**5 + 0*p**2.
p**3*(p + 1)*(p + 17)/5
Suppose 2*p = -2*r + 46, 108 = 81*r - 76*r + 4*p. Factor 12*f**3 + 80/3*f**2 + r*f + 4/3*f**4 + 0.
4*f*(f + 1)*(f + 2)*(f + 6)/3
Let p be -27 + 49 + 8/1. Factor -135*r - 40*r**5 + 139*r - 28*r**2 - p*r**3 - 78*r**3 - 116*r**4.
-4*r*(r + 1)**3*(10*r - 1)
Let z(v) be the third derivative of -v**7/315 - v**6/180 + v**5/9 - 2*v**4/9 + 15*v**2 + 163. Factor z(q