3/2*z**2.
3*z*(z - 40)*(z - 2)/4
Let h(a) be the third derivative of -a**5/120 + 4*a**4/3 - 77*a**3 + 2*a**2 - 657*a. Factor h(t).
-(t - 42)*(t - 22)/2
Let u(f) be the third derivative of 2*f**7/175 - 511*f**6/200 + 16253*f**5/100 + 112*f**4 - 6144*f**3/5 - 2808*f**2. Let u(n) = 0. What is n?
-1, 3/4, 64
Let a(o) = o**3 + 19*o**2 - 44*o - 38. Let b be a(-21). Suppose -10*p**2 + b*p**2 + 9*p**3 + 6 - 2*p - 7*p**3 = 0. What is p?
-1, 1, 3
Factor 6791233/3*k**2 + 16/3*k**4 - 20840/3*k**3 + 141267 - 1130570*k.
(k - 651)**2*(4*k - 1)**2/3
Let x = -14849 + 14849. Let d(g) be the second derivative of -2/13*g**4 - 1/65*g**5 - 14/39*g**3 - 5/13*g**2 - 34*g + x + 1/195*g**6. Factor d(k).
2*(k - 5)*(k + 1)**3/13
Let z(n) be the third derivative of -2*n**2 - 3/8*n**4 + 1/14*n**7 + 3/40*n**6 - 7/20*n**5 - 7 + n**3 + 0*n. Factor z(y).
3*(y - 1)*(y + 1)**2*(5*y - 2)
Let t(u) be the first derivative of 0*u**3 + 0*u - 204 + 0*u**2 + 10/9*u**4 + 2/45*u**5. Factor t(q).
2*q**3*(q + 20)/9
Let t(r) = r**2 - 1. Suppose -2*l + 37 = 3*a, 0*l + 101 = 5*l - a. Let j(n) = 3*n**2 - 4*n + 8. Let f(b) = l*t(b) - 5*j(b). Factor f(m).
5*(m - 2)*(m + 6)
Suppose 1/5*b**2 + 81 - 42/5*b = 0. What is b?
15, 27
Let w(l) be the third derivative of -l**5/240 + 59*l**4/8 - 10443*l**3/2 + 957*l**2. Factor w(j).
-(j - 354)**2/4
Let s be 13 - (95/76)/(5/(-2)). Determine q, given that s*q - 1/4*q**2 - 729/4 = 0.
27
Let s(u) be the third derivative of -u**5/30 + 5*u**4/8 + 19*u**3/3 + 1001*u**2. Find d such that s(d) = 0.
-2, 19/2
Let j(k) be the second derivative of -k**7/630 + k**6/180 + k**5/180 - k**4/36 - 120*k**2 - 174*k. Let r(y) be the first derivative of j(y). Factor r(d).
-d*(d - 2)*(d - 1)*(d + 1)/3
Let y = 10 + 45. Suppose -59 + y - 8*x**3 + 3*x**2 + 9*x**3 = 0. Calculate x.
-2, 1
Let m = -1765876/3 - -588626. Determine s, given that -m*s**2 + 12 - 2*s = 0.
-6, 3
Let y(d) = 36*d**2 + 1010*d - 23430. Let u(p) = -5*p**2 - 144*p + 3347. Let m(g) = -22*u(g) - 3*y(g). Determine j so that m(j) = 0.
-88, 19
Let z(u) be the first derivative of -u**4/6 - 2*u**3/9 + 14*u**2/3 + 16*u - 214. Factor z(r).
-2*(r - 4)*(r + 2)*(r + 3)/3
Let z be ((114/180)/(-19))/(12/45*-3). Let m(k) be the second derivative of 1/8*k**2 + 0 - 20*k - z*k**3 - 1/48*k**4 + 1/80*k**5. Let m(y) = 0. Calculate y.
-1, 1
Let l(t) be the third derivative of -t**7/24 - t**6/8 + t**5/2 + 5*t**4/6 + 19*t**3/3 + 57*t**2. Let r(w) be the first derivative of l(w). Factor r(v).
-5*(v - 1)*(v + 2)*(7*v + 2)
Let q(z) be the first derivative of -z**4/48 + 17*z**3/24 + 9*z**2/4 - 109*z - 68. Let g(c) be the first derivative of q(c). Factor g(y).
-(y - 18)*(y + 1)/4
Let j(u) be the second derivative of -2*u**7/7 + 9*u**6/2 - 21*u**5/20 - 45*u**4/4 + 11*u**3/2 + 1347*u. What is f in j(f) = 0?
-1, 0, 1/4, 1, 11
Let x = -1889341/9 - -209927. Factor x*r**2 + 16/3 - 28/9*r.
2*(r - 12)*(r - 2)/9
Let j be 1*(-65)/(-15)*-1*-9. Factor 18*k**2 - 2*k**4 - 40*k - j*k + 25*k + 6*k**3.
-2*k*(k - 3)**2*(k + 3)
Let a(z) be the first derivative of 4*z**3/3 - 24*z**2 + 44*z - 3755. Factor a(y).
4*(y - 11)*(y - 1)
Suppose 0 = 4*v + 3*l - 20, -13*l = -4*v - 15*l + 16. Factor 14 - 42*k + 96 + 172*k + 6*k + 25*k**v + 149*k.
5*(k + 11)*(5*k + 2)
Let k be 513/(-189) - 4/14. Let p(w) = -12*w**2 + 160*w + 16. Let o(b) = -2*b**2 + 32*b + 3. Let h(d) = k*p(d) + 16*o(d). Find y such that h(y) = 0.
-8, 0
Let c(w) = 9*w**2 - 1023*w - 2082. Let n(r) = 4*r**2 - 409*r - 834. Let v(p) = -5*c(p) + 12*n(p). Let v(f) = 0. Calculate f.
-67, -2
Suppose 2*g - 26 = 8*d - 4*d, -3*d - 37 = -4*g. Suppose 0*l - g*l - 7*l = 0. Find o such that 0 + l*o + 1/3*o**2 - 2/3*o**3 + 1/3*o**4 = 0.
0, 1
Let m = -528117 + 2640669/5. Factor -m*t + 441/5*t**2 + 4/5.
(21*t - 2)**2/5
Let w(c) be the first derivative of 121*c**5 - 1650*c**4 + 4680*c**3 + 10800*c**2 + 6480*c - 186. Determine j so that w(j) = 0.
-6/11, 6
What is q in -26 + 215/3*q - 5/3*q**3 - 16*q**2 = 0?
-13, 2/5, 3
Let z(s) be the third derivative of s**8/672 + s**7/105 - 9*s**6/80 + 19*s**5/60 - s**4/3 - 852*s**2. Factor z(k).
k*(k - 2)*(k - 1)**2*(k + 8)/2
Suppose 3*q - 9 = 0, 4*n + 4*q = 12 + 20. Suppose -24 + 111*a + 3*a**n + 39*a**3 + 24*a**4 - 3*a**4 - 153*a + 2*a**2 + a**2 = 0. Calculate a.
-4, -2, -1, 1
Let k be 8/(-6) + (-2 - 169761/(-63)). Let q = k + -2691. Factor q*y**2 + 0 + 2/7*y**4 + 0*y - 4/7*y**3.
2*y**2*(y - 1)**2/7
Factor -64*k + 328/5 + 2/5*k**3 + 74/5*k**2.
2*(k - 2)**2*(k + 41)/5
Let q be (14 - 572/39)*-3. Let s(b) be the first derivative of -17 - 1/2*b**3 + 12*b - 3/2*b**q. What is v in s(v) = 0?
-4, 2
Suppose -42 = -3*a + 3*x, 3*x + 3 = 12. Find f, given that -10*f + 18*f - a*f**2 - 4*f + 15*f**2 = 0.
0, 2
Let f(k) be the second derivative of k**6/120 + k**5/10 - 5*k**4/8 + 110*k**3/3 - k**2/2 + 204*k. Let n(c) be the second derivative of f(c). Factor n(g).
3*(g - 1)*(g + 5)
Let o(b) be the first derivative of -2*b**3/3 - b**2/2 + 6*b - 193. Let j(f) = -2*f + 6 - 2*f**2 - 3 + 4. Let i(u) = 4*j(u) - 5*o(u). Solve i(z) = 0.
-1/2, 2
Let z be 2/(-5)*((-300)/10)/6. Suppose 3*d + 2*m = 82, 3*m = -5*d + 125 + 10. Factor -209*u**3 + 101*u**3 + d*u**z + 104*u**3.
-4*u**2*(u - 6)
Suppose 0 = -3*r + 4*t - 10, r - 3*t = -2*t - 2. Factor -47*u**2 + 3 - 184*u - 32 - 4*u**3 - 73*u**r + 67*u.
-(u + 29)*(2*u + 1)**2
Let l(f) be the first derivative of 2*f**3/3 + 22*f**2 + 234*f - 405. Factor l(p).
2*(p + 9)*(p + 13)
Let r(t) be the second derivative of -2*t**3/3 + 17*t**2 - 107*t. Let n be r(8). Suppose c**4 + 44/3*c**3 - 4/3 + 19/3*c**n - 14/3*c**5 - 4*c = 0. Calculate c.
-1, -2/7, 1/2, 2
Suppose 5338 = g + 4*b, 5*g - 4*b - b - 26565 = 0. Factor -1836*p**2 - 35*p**3 - 59200*p - 85593 - 84*p**3 + g*p**2 + 1198*p**2 + p**4 + 21593.
(p - 40)**3*(p + 1)
Let f(q) = 3*q**2 + 198*q - 837. Let y be f(-70). Let k(w) be the third derivative of 0*w - 8*w**2 + 7/60*w**4 + 0 + 1/150*w**5 + 2/3*w**y. Factor k(v).
2*(v + 2)*(v + 5)/5
Suppose 12*d - 35 = 13. Determine g so that -20*g**3 - 12*g**2 - 15*g**4 + 9*g**4 + d*g**5 + 2*g**4 = 0.
-1, 0, 3
Suppose 13*p**2 + 1/3*p**3 + 48*p + 140/3 = 0. What is p?
-35, -2
Suppose -48 = -20*i + 22*i. Let r be (-42)/12*i/126. Factor 0*h + r*h**2 + 2/3*h**3 + 0.
2*h**2*(h + 1)/3
Determine d so that 6728/7 + 2/7*d**2 + 232/7*d = 0.
-58
Suppose -469*r + 1141 + 1025 = 290. Solve 0 - 4/3*d**2 - r*d = 0.
-3, 0
Let i be 9/18 - (-880)/32. Let f be (-115)/92*i/(-10). What is d in 6 - 14*d + f*d**4 - 49/2*d**2 - d**3 = 0?
-2, -1, 2/7, 3
Find r, given that 1332/7*r + 208/7*r**3 + 648/7 + 0*r**4 - 4/7*r**5 + 888/7*r**2 = 0.
-3, -2, -1, 9
Let u be 20/(-24)*(9/27)/(250/(-135)). Let c(l) be the second derivative of 29*l + u*l**5 - 3/2*l**4 + 0*l**2 + 0 + 4*l**3. Suppose c(v) = 0. What is v?
0, 2, 4
Find d such that 305*d**2 + 60 - 490*d - 75/2*d**3 = 0.
2/15, 2, 6
Let t(u) = -u**3 - 5*u**2 - 5*u + 1. Let r be t(-3). Let s be ((r - -1)*3)/((-96)/64). Factor s*y**2 - 9*y - 7*y + 6*y + 12.
2*(y - 3)*(y - 2)
Let z(p) = 105*p - 733. Let k be z(7). Determine o, given that -3/4 + 3/8*o**k + 3/8*o = 0.
-2, 1
Let i be ((-675)/35)/(-3) - (0 + 8 - 3). Determine n, given that -2/7*n - i + 10/7*n**2 + 2/7*n**3 = 0.
-5, -1, 1
Let j be (8 + (-25)/10)/(23/46) + -9. Factor -35/2*s**j - 225/2*s - 5/6*s**3 - 405/2.
-5*(s + 3)*(s + 9)**2/6
Let p be ((96/(-100))/(948/(-395)))/((-2)/20*-1). Let -1/2*t**p - 50 - 30*t + 3*t**3 + 11/2*t**2 = 0. Calculate t.
-2, 5
Let v(g) = -128*g**2 - 337*g - 1009. Let o(i) = -26*i**2 - i + 1. Let w(x) = -5*o(x) + v(x). Suppose w(y) = 0. Calculate y.
-3, 169
Find b, given that 20 - 1/2*b**3 + 3*b**2 + 18*b = 0.
-2, 10
Let x = -18228 - -18256. Let n(w) be the second derivative of -5/3*w**4 - 16/5*w**5 + 4/3*w**3 - 6/5*w**6 - x*w + 0 + 0*w**2. Solve n(u) = 0.
-1, 0, 2/9
Let k be 16*(0 + (-1)/(-8)). Let f(b) be the second derivative of 1/114*b**4 - 3*b + 0*b**3 - 1/19*b**k + 0. Factor f(s).
2*(s - 1)*(s + 1)/19
Suppose 6*k + 14 = 146. Factor 13 + 20*b + k + 11*b**3 + 38*b**2 - 76 + 17.
(b + 2)**2*(11*b - 6)
Determine q, given that -122/5*q**4 + 14*q - 130/3*q**3 - 20/3 + 946/15*q**2 - 8/3*q**5 = 0.
-5, -2/5, 1/4, 1
Let q(f) be the third derivative of -46*f**2 + 1/4*f**4 + 1/30*f**5 + 0*f**3 - 2*f + 0. Factor q(p).
2*p*(p + 3)
Let g(u) be the first derivative of 1/2*u**4 - u**2 - 35 + 2/15*u**5 - 2