 + 329*q**4/3 + 220*q**3/3 + 2288. Factor p(y).
-4*y**2*(y - 165)*(y + 1)**2/3
Let h(f) be the third derivative of 8/9*f**3 + 0 - 1/180*f**5 + 70*f**2 + 0*f - 4/9*f**4 + 1/180*f**6. What is m in h(m) = 0?
-4, 1/2, 4
Suppose -3*s + 5 = 2*s, 196 = 5*q - 4*s. Let a be q/140 - 52/(-14). Determine w so that -8/9*w**a + 8/9*w**2 + 2/3*w**3 + 2/9*w**5 - 8/9*w + 0 = 0.
-1, 0, 1, 2
Find o such that 1/6*o**4 + 44/3*o**3 + 1176 + 1052/3*o**2 + 1232*o = 0.
-42, -2
Factor -4/5*s**4 - 82668/5*s**2 + 0 - 996/5*s**3 - 2287148/5*s.
-4*s*(s + 83)**3/5
Let v be 70/9 + (-3 - (-58)/18). What is r in -v*r**2 + 32 - 23 + 4*r**3 + 2*r**3 - 6*r + 5*r**4 - 6*r**4 = 0?
-1, 1, 3
Let b(d) = -15*d**2 - 88*d + 2979. Let n(k) = -8*k**2 - 44*k + 1404. Let x(g) = 4*b(g) - 7*n(g). Factor x(o).
-4*(o - 18)*(o + 29)
Suppose 5959 = 13*v + 5894. Let m(j) be the third derivative of 9/20*j**v - 15*j**2 + 0*j + 1/40*j**6 + 0 + 3*j**4 + 8*j**3. Find n such that m(n) = 0.
-4, -1
Let x(h) be the first derivative of h**5/8 - 5*h**4/3 + 5*h**3 + 123*h - 149. Let b(c) be the first derivative of x(c). Factor b(q).
5*q*(q - 6)*(q - 2)/2
Suppose 347 = 35*f + 595 - 353. Suppose -2/9*g**f + 2/9*g - 2/9*g**2 + 2/9 = 0. What is g?
-1, 1
Let u(h) be the second derivative of h**4/84 - 33*h**3/7 - 404*h**2/7 - 79*h - 9. Let u(d) = 0. What is d?
-4, 202
Let p(f) be the first derivative of 4*f**3/3 - 1140*f**2 - 1037. Factor p(d).
4*d*(d - 570)
Factor -16/7 + 2200/7*b - 75625/7*b**2.
-(275*b - 4)**2/7
Suppose -2*d + 360 = 10*d. Suppose -6*f + d = -3*f. Determine q so that -9*q + f + 21*q - 4*q**2 - q**2 - 17*q = 0.
-2, 1
Let n = -93 - -98. Find d such that 4*d**3 + 35 + 13 - n*d**3 - 40*d + 11*d**2 = 0.
3, 4
Let w(f) = 10*f**4 - 126*f**3 + 363*f**2 + 173*f. Let a(y) = -20*y**4 + 252*y**3 - 727*y**2 - 345*y. Let t(m) = -5*a(m) - 9*w(m). Find i, given that t(i) = 0.
-2/5, 0, 6, 7
Let m(y) be the second derivative of -3*y**4/14 + 8*y**3/21 + 1415*y. Factor m(j).
-2*j*(9*j - 8)/7
Let d(r) be the second derivative of r**7/294 + 2*r**6/105 - 11*r**5/140 - 31*r**4/42 - 40*r**3/21 - 16*r**2/7 + 746*r. Suppose d(k) = 0. What is k?
-4, -2, -1, 4
Let v(c) be the third derivative of c**7/105 + 3*c**6/20 + 2*c**5/3 - 56*c**2. Factor v(n).
2*n**2*(n + 4)*(n + 5)
Let z = 300 + 102. Let f = 414 - z. What is l in -24 - 3/2*l**2 + f*l = 0?
4
Factor -1241300954/3 + 1455218*y - 1706*y**2 + 2/3*y**3.
2*(y - 853)**3/3
Let f(s) be the third derivative of s**8/840 - s**7/105 - 17*s**6/300 + 13*s**5/150 + 13*s**4/15 + 28*s**3/15 - 2576*s**2. Determine p, given that f(p) = 0.
-2, -1, 2, 7
Let t(i) be the second derivative of -i**4/54 + 160*i**3/27 - 6400*i**2/9 + 915*i. Factor t(w).
-2*(w - 80)**2/9
Let j = -75889 + 303559/4. Suppose -j - 1/4*v**3 + 5/4*v - 1/4*v**2 = 0. What is v?
-3, 1
Let u(w) be the first derivative of 281 + 0*w**2 + 11/4*w**4 - 2*w**3 + 0*w. Suppose u(k) = 0. Calculate k.
0, 6/11
Let z(d) be the second derivative of -d**6/10 - 3*d**5/20 + 29*d**4/2 + 56*d**3 - 257*d. Factor z(h).
-3*h*(h - 8)*(h + 2)*(h + 7)
Let z be (0 + 12/18)*(-13)/(-520). Let a(y) be the third derivative of 0*y - 1/4*y**4 - z*y**6 + 0 - 2/15*y**5 + 32*y**2 + 0*y**3. Factor a(w).
-2*w*(w + 1)*(w + 3)
Suppose 4*k - 65*h - 7904 = -63*h, 2*k = -2*h + 3958. Find z such that 3808*z - 2031*z - 20*z**2 + 32*z**3 - 4*z**4 - k*z = 0.
-2, 0, 5
Let d = -174 + 99. Let g = d + 81. Factor 3 - 19*r**2 + 7*r**2 + g*r**2 + 3*r**4.
3*(r - 1)**2*(r + 1)**2
Let j(r) be the first derivative of -30 + 0*r**3 + 1/34*r**4 - 3/17*r**2 + 4/17*r. Factor j(b).
2*(b - 1)**2*(b + 2)/17
Let h = 1036/331 - 10734/3641. Factor 12/11*x**2 - 20/11 - h*x**3 - 6/11*x.
-2*(x - 5)*(x - 2)*(x + 1)/11
Suppose -4*y = -f + 10, -3*f + 2*y + 27 = 17. Factor 4*k**3 - 2*k**3 - 13*k**2 - 17*k**f + 28*k**2.
2*k**2*(k - 1)
Suppose -5*a + 2*w = -1, -24*a + 19*a - 6 = -3*w. Find j such that -7/2*j**a + 8*j**2 - 8 + 26*j = 0.
-2, 2/7, 4
Suppose 15*x - 12*x + 2*v - 26 = 0, -3*x - 4*v + 28 = 0. What is g in -x*g - 28/3 + 1/3*g**3 - g**2 = 0?
-2, 7
Determine q so that -6264/7*q**2 - 12960*q + 12/7*q**4 + 846/7*q**3 + 777600/7 - 2/7*q**5 = 0.
-15, 12
Let d(u) be the second derivative of -u**5/5 - 7*u**4/3 + 96*u**3 - 2717*u. Let d(p) = 0. Calculate p.
-16, 0, 9
Suppose 20 = -7*s + 6*s + 3*s. Let n(f) be the first derivative of -29 + 0*f - 5/6*f**6 + 2*f**5 + 15/4*f**4 - s*f**2 - 20/3*f**3. Solve n(j) = 0.
-1, 0, 2
Let o(m) be the second derivative of -11*m**5/30 - 25*m**4/9 + 25*m**3/9 - 39*m - 3. Find v such that o(v) = 0.
-5, 0, 5/11
Let r(l) be the first derivative of 0*l + 2/9*l**2 + 251 - 4/45*l**5 + 1/3*l**4 - 4/9*l**3. Factor r(y).
-4*y*(y - 1)**3/9
Determine h so that -23/3*h**2 + 10/3*h + 5/3*h**3 + 0 + 2/3*h**4 = 0.
-5, 0, 1/2, 2
Let m(q) be the third derivative of q**7/168 - q**6/9 + 5*q**5/8 + 21*q**3/2 - 42*q**2. Let z(t) be the first derivative of m(t). Factor z(b).
5*b*(b - 5)*(b - 3)
Suppose k - 641 - 529 = -2*n, 567 = n - 4*k. Suppose 137 + n = 18*j. Let -7*c**4 - 6 - 2*c**4 + 9*c + 67*c**2 - j*c**2 + 3*c**3 = 0. Calculate c.
-1, 1/3, 2
Solve -18/7*o**2 - 9464 - 312*o = 0 for o.
-182/3
Let q(l) be the second derivative of -1/18*l**4 + 0*l**3 - 21*l + 0*l**2 + 0 + 7/120*l**5 + 1/90*l**6. Find n, given that q(n) = 0.
-4, 0, 1/2
Let z be (14 - 0)*((-65)/(-10) + -5). Suppose -5*t = 5*j - 40, 2*j + 2*t - t = 11. Solve -5*g**3 + z*g**4 + g**5 - 18*g**4 + g + j*g - 3*g**2 = 0.
-4, -1, 0, 1
Let c(u) be the second derivative of u**5/4 + 385*u**4/12 + 1715*u**3/3 + 2680*u**2 + 145*u. Factor c(j).
5*(j + 2)*(j + 8)*(j + 67)
Let p be (-96)/360 + (-222)/(-495). Factor -p*w**2 + 18/11 - 16/11*w.
-2*(w - 1)*(w + 9)/11
Let j(d) = 2*d**3 + 377*d**2 - 11915*d - 39199. Let y(x) = -x**3 - 379*x**2 + 11908*x + 39200. Let b(c) = 4*j(c) + 5*y(c). Factor b(g).
3*(g - 66)**2*(g + 3)
Let j(n) be the first derivative of n**7/420 - 3*n**6/80 + n**5/6 - 43*n**2 - 25. Let d(c) be the second derivative of j(c). Let d(o) = 0. What is o?
0, 4, 5
Let t(f) = f + 1369 - 2731 + 1363. Let s(q) = 2*q**3 + 3 + 17*q**2 + 7*q**3 - 9 - 2*q**2. Let a(h) = s(h) + 6*t(h). Factor a(i).
3*i*(i + 1)*(3*i + 2)
Let l(g) be the second derivative of g**4/36 + 47*g**3/9 + 91*g**2/2 - 158*g - 21. Solve l(j) = 0 for j.
-91, -3
Let 10*f**2 - 42*f - 2325*f**5 + 9*f**4 + 40 + 1160*f**5 - 35*f**2 + 1166*f**5 + 17*f**3 = 0. What is f?
-5, -4, -2, 1
Suppose -3*w + 482 - 473 = 0. Let v(u) be the second derivative of -5/2*u**4 + 9*u + 3/5*u**5 - w*u**2 + 0 + 5/14*u**7 + 6/5*u**6 - 9/2*u**3. Factor v(s).
3*(s - 1)*(s + 1)**3*(5*s + 2)
Factor -149315 + 253*o + 218472 + 1987*o - 3*o**2 + 181723 + 8*o**2.
5*(o + 224)**2
Find d, given that 24*d + 62/3*d**2 + 1/3*d**4 + 0 + 5*d**3 = 0.
-9, -4, -2, 0
Let d(t) be the third derivative of t**8/2352 - 2*t**7/245 + 13*t**6/420 + t**5/35 - 9*t**4/56 + 7*t**2 + 22. What is n in d(n) = 0?
-1, 0, 1, 3, 9
Suppose -412*h + 61464 = 376*h. Factor -338/5 - h*f - 2/5*f**3 - 54/5*f**2.
-2*(f + 1)*(f + 13)**2/5
Let r(p) be the third derivative of 0 - 98/3*p**4 + 4/7*p**7 + 0*p + 0*p**3 - 1/84*p**8 + 28*p**5 - 78*p**2 - 253/30*p**6. Factor r(b).
-4*b*(b - 14)**2*(b - 1)**2
Let p(a) be the third derivative of 2/21*a**3 - 1/420*a**6 + 0*a**5 + 0 - 23*a**2 + 0*a + 1/28*a**4. Determine t, given that p(t) = 0.
-1, 2
Let z(v) = -920*v - 124200. Let j be z(-135). Factor 1/2*q**2 + 5/2*q + j.
q*(q + 5)/2
Suppose 4*o + 2*h - 62 = 0, -h - 57 = -4*o - 4*h. Solve -19*y + 2*y**3 + 5*y**4 - 2*y**5 + 37*y + 13*y**4 - o*y**2 - 18*y = 0 for y.
-1, 0, 1, 9
Let s(i) = -i**3 - 2*i**2 - 5*i - 7. Let z be s(-2). Let p be ((-7)/(-42))/(1 + z/(-18)). Suppose -2/5 - 1/5*b + 2/5*b**2 + p*b**3 = 0. Calculate b.
-2, -1, 1
Let c(q) be the second derivative of -q**5/110 + 2*q**4/11 + q**3/33 - 12*q**2/11 + 3*q - 4. Suppose c(f) = 0. What is f?
-1, 1, 12
Let q be 0 - ((-5)/(-1) - 5). Let j be -2 + 9 + 15/(-5) + q. Let 1/2*g**3 - 1/4*g**2 - 1/4*g**j + 0*g + 0 = 0. What is g?
0, 1
Let v(z) = -7*z**2 + z + 2. Let y(q) = 3*q**3 - 30*q**2 - 390*q - 627. Let x(l) = 3*v(l) + y(l). Factor x(b).
3*(b - 23)*(b + 3)**2
Factor 2/3*j**2 + 662/3*j + 220.
2*(j + 1)*(j + 330)/3
Let a(c) be the second derivative of c**5/30 - 7*c**3/9 - 2*c**2 - 14*c + 6. Factor a(n).
2*(n - 3)*(n + 1)*(n + 2)/3
Let v = 147 + -143. Factor c - c**2 + 5 + 12 - 15 + v.
-(c - 3)