)/(-6 + 51/9). Factor 7/5*t**4 - 19/5*t**3 - 1/5*t**k + 5*t**2 - 16/5*t + 4/5.
-(t - 2)**2*(t - 1)**3/5
Let s(q) = -3*q**2 + 13*q + 15. Let a(b) = 2*b**2 + b. Let v(f) = -3*a(f) - 3*s(f). Find m such that v(m) = 0.
-1, 15
Let p(o) = o**3 + o**2 - o + 1. Let y(l) = l**4 + 31*l**3 + 297*l**2 + 1369*l + 2404. Let f = 53 - 50. Let m(s) = f*p(s) - y(s). Solve m(i) = 0 for i.
-7
Let k = -1/2546 + 63653/7638. Factor -k*v - 5/3*v**2 - 10.
-5*(v + 2)*(v + 3)/3
Let p(t) be the third derivative of 7*t**7/90 + 469*t**6/360 + 64*t**5/45 + t**4/2 + 278*t**2. Factor p(a).
a*(a + 9)*(7*a + 2)**2/3
Let w = 7250/253 + -588/23. What is d in 20/11*d**2 + w*d + 16/11 + 2/11*d**3 = 0?
-8, -1
Let y = -51 - -51. Let u(l) be the third derivative of 0*l**6 - 1/560*l**8 + y*l**3 + 0*l**4 + 0 + 0*l**5 - 4*l**2 + 1/350*l**7 + 0*l. Factor u(p).
-3*p**4*(p - 1)/5
Let n = 418/3423 - 1/326. Let p(d) be the second derivative of 0*d**2 - 1/35*d**5 + 8*d + n*d**4 + 2/21*d**3 + 0 - 1/21*d**6. Solve p(r) = 0 for r.
-1, -2/5, 0, 1
Let r(b) be the second derivative of b**5/5 + 8*b**4/3 + 12*b**3 + 3*b. Let f(a) = -a. Let t(l) = -8*f(l) - r(l). Factor t(d).
-4*d*(d + 4)**2
Let x(k) be the third derivative of k**5/30 + k**4/4 - 10*k**3/3 - 217*k**2. Factor x(l).
2*(l - 2)*(l + 5)
Let x = 7677/5 - 1535. Factor -4/5*z + 0 + x*z**2.
2*z*(z - 2)/5
Let r(y) be the first derivative of 0*y**2 + 0*y + 19 + 4/5*y**5 + 2/3*y**6 + 0*y**4 + 0*y**3. Factor r(u).
4*u**4*(u + 1)
Let x = 27857/844 - 54/211. Let z = x - 32. Determine m so that z*m**5 - 9/4*m**4 + 3/2*m**3 + 3/2*m**2 - 9/4*m + 3/4 = 0.
-1, 1
Let j(n) be the first derivative of -n**6/3 - 3*n**5 - 43*n**4/4 - 58*n**3/3 - 18*n**2 - 8*n - 61. Factor j(m).
-(m + 1)*(m + 2)**3*(2*m + 1)
Let g(d) be the first derivative of -625*d**4/3 - 400*d**3/9 - 8*d**2/3 - 178. Solve g(b) = 0 for b.
-2/25, 0
Suppose -2*x - 21*d = -17*d - 12, -4*x = -4*d. Let p(n) be the first derivative of 10/9*n**3 + 1/3*n**2 + 2/3*n**4 + 0*n + x. Solve p(w) = 0 for w.
-1, -1/4, 0
Let r(s) = s**3 + 13*s**2 + 35*s + 7. Let p(i) = 2*i**3 + 38*i**2 + 103*i + 23. Let j(h) = -4*p(h) + 11*r(h). Factor j(v).
3*(v - 5)*(v + 1)**2
Let d(k) be the first derivative of k**7/210 + k**6/40 + k**5/20 + k**4/24 - k**3 - 9. Let o(y) be the third derivative of d(y). Let o(t) = 0. Calculate t.
-1, -1/4
Let l(a) be the first derivative of 0*a**2 + a - 1/3*a**3 - 25. Determine t, given that l(t) = 0.
-1, 1
Let v(x) be the first derivative of -x**4/24 + x**3/3 + 5*x**2/4 + 4*x/3 - 93. What is k in v(k) = 0?
-1, 8
Determine d, given that -14/5*d + 0 + 12/5*d**2 + 2/5*d**3 = 0.
-7, 0, 1
Determine i, given that 0 + 4*i**2 + 4/7*i**4 - 20/7*i**3 - 12/7*i = 0.
0, 1, 3
Let s(v) = v**2 - 9*v + 3. Let l be s(9). What is k in 0*k**2 - 4*k**2 + l*k**2 - k**3 = 0?
-1, 0
Find h such that -13/3*h - 1 - 22/3*h**2 - 7/3*h**4 - 1/3*h**5 - 6*h**3 = 0.
-3, -1
Suppose -f = 4*f - 10. Solve 3*l**3 - 7*l**3 + 3*l + 3*l**5 - l**4 - f*l - l**4 + 2*l**2 = 0 for l.
-1, -1/3, 0, 1
Let k(a) be the second derivative of -a**7/18900 - a**6/2700 - a**5/900 - 2*a**4/3 - a. Let r(g) be the third derivative of k(g). Factor r(c).
-2*(c + 1)**2/15
Let j(g) = 4860*g**3 + 225*g**2 - 19015*g - 560. Let r(y) = 347*y**3 + 16*y**2 - 1358*y - 40. Let x(w) = -6*j(w) + 85*r(w). Factor x(n).
5*(n - 2)*(n + 2)*(67*n + 2)
Suppose -6*t - 5*t - 66 = 0. Let z be 2 - ((-4)/(-5))/(t/(-10)). Find p such that -2/3*p**4 + 0*p + 0 - 2/3*p**5 + z*p**2 + 2/3*p**3 = 0.
-1, 0, 1
Let q(n) be the second derivative of n**5/10 - n**4/3 - 5*n**3/3 + 6*n**2 + 65*n. Determine j so that q(j) = 0.
-2, 1, 3
Let a(f) be the first derivative of f**8/1344 - f**6/480 - 11*f**2 + 1. Let d(n) be the second derivative of a(n). Solve d(u) = 0 for u.
-1, 0, 1
Suppose 3*k - 3*v - 15 = 0, -5*k + 4*v + 32 = 8. Suppose 10 = k*i - 18. Factor -6*f**2 - 1 + 2*f**2 + i + f**2 + 3*f.
-3*(f - 2)*(f + 1)
Let q be 119/4 - 12/(-48). Let u be 8/q*(-21)/(-28). Solve u*m**3 + 0*m**2 - 1/5*m + 0 = 0 for m.
-1, 0, 1
Let o(u) be the second derivative of u**7/20160 - u**5/960 - 5*u**4/4 + 41*u. Let l(z) be the third derivative of o(z). Let l(j) = 0. Calculate j.
-1, 1
Let o = 69 + -67. Let m(f) be the second derivative of 2/27*f**3 - 4*f + 1/90*f**5 + 0*f**o + 1/18*f**4 + 0. Factor m(v).
2*v*(v + 1)*(v + 2)/9
Find v, given that 128*v**3 + 6*v**4 - 64*v - 40*v**2 - 100*v**3 - 2*v**4 = 0.
-8, -1, 0, 2
Let f(u) be the third derivative of -u**7/630 + u**6/60 - u**5/20 + u**2 - 1. Factor f(s).
-s**2*(s - 3)**2/3
Let a(v) = 17*v**5 + v**4 + 3*v**3 + 4*v**2. Let p(c) = 13*c**5 + c**4 + 3*c**3 + 3*c**2. Let t(x) = 4*a(x) - 5*p(x). Find m such that t(m) = 0.
-1, 0, 1/3, 1
What is v in -6724/3 - 164/3*v - 1/3*v**2 = 0?
-82
Let d(v) be the first derivative of 2*v**3/9 + 85*v**2/3 - 172*v/3 - 285. Let d(a) = 0. Calculate a.
-86, 1
Let s(o) be the second derivative of -o**5/60 + o**4/24 + 7*o**2/2 - 6*o. Let w(h) be the first derivative of s(h). Determine g, given that w(g) = 0.
0, 1
Let m(a) = a**2 - 2*a - 2. Let d be m(-2). Factor 2*k**3 + 3*k**4 - 22*k**3 + 7*k**3 + d*k - 3 + 7*k**3.
3*(k - 1)**3*(k + 1)
Let f(n) be the second derivative of n**7/1260 + n**6/360 - n**4/72 - n**3/36 + 3*n**2 - 3*n. Let a(k) be the first derivative of f(k). Factor a(o).
(o - 1)*(o + 1)**3/6
Let l(v) be the second derivative of v**5/12 - 7*v**4/36 - 4*v**3/9 + 2*v**2/3 - 598*v. Suppose l(p) = 0. What is p?
-1, 2/5, 2
Let r(w) be the third derivative of 0 + 8*w**2 + 1/4*w**8 + 0*w**3 - 2/5*w**5 - 152/105*w**7 + 0*w**4 - 3*w + 41/30*w**6. Solve r(l) = 0 for l.
0, 2/7, 1/3, 3
Suppose -4*r - 11 = -5*i, 0 = 4*i - 4*r - r - 7. Factor b + 22*b**i - b**3 + b + 4*b - 27*b**2.
3*b*(b - 1)*(7*b - 2)
Suppose -3*b + 7*s - 2*s - 509 = 0, 0 = 3*b + 3*s + 501. Let v be b/(-72) - (-1)/(-3). Factor -5*t**2 - v*t**2 + 4*t**2.
-3*t**2
Let x be (0/((-11)/((-66)/12)))/2. Let w(h) be the second derivative of 1/18*h**3 + 0 + 3*h + x*h**2 + 1/36*h**4. Factor w(f).
f*(f + 1)/3
Let w(g) be the third derivative of -g**6/300 + 7*g**5/150 + g**4/60 - 7*g**3/15 + g**2 + 226. Suppose w(x) = 0. Calculate x.
-1, 1, 7
Find k such that 3934*k**2 - 7900*k**2 + 3948*k**2 + 2*k**4 + 24 + 8*k = 0.
-3, -1, 2
Suppose y = o - 1, -12*y = 3*o - 8*y + 4. Let -3/2*c**3 + 9/2*c**2 + o - 3*c = 0. What is c?
0, 1, 2
Let m = 3590 + -3588. Find i such that 4 + 1/9*i**m - 4/3*i = 0.
6
Let p be ((-2)/4)/(25/(-75)). Let c(z) be the first derivative of 6 + z**3 + 0*z + p*z**2. Suppose c(s) = 0. Calculate s.
-1, 0
Let i(l) be the second derivative of 0 - 9*l + 1/14*l**4 + 2/7*l**2 + 1/3*l**3. Solve i(n) = 0 for n.
-2, -1/3
Let t = -113 + 455/4. Let y be 32/144 + ((-84)/(-54))/(-7). Factor 3/4*k**4 + y - 9/4*k**3 - t*k + 9/4*k**2.
3*k*(k - 1)**3/4
Let a(x) = -3*x**2 + 19*x + 4. Let z(v) = v**2 - 20*v - 4. Let l(i) = -4*a(i) - 3*z(i). Find g such that l(g) = 0.
-2/9, 2
Factor 207/7*v - 3/7*v**3 - 162/7 - 6*v**2.
-3*(v - 3)*(v - 1)*(v + 18)/7
Let u(k) be the third derivative of k**9/9072 + k**8/2520 - k**6/540 - k**5/360 + 7*k**3/6 + 4*k**2. Let b(r) be the first derivative of u(r). Factor b(g).
g*(g - 1)*(g + 1)**3/3
Let z = 1 - -2. Find c such that -20*c**2 + 21*c**z - 41*c - 12 - 25*c**3 + 13*c = 0.
-3, -1
Let a(h) be the second derivative of h**4/6 + 4*h**3 + 36*h**2 + 7*h - 1. Factor a(y).
2*(y + 6)**2
Suppose 0 = 57*n + 13 - 13. Factor 2/3*x**3 - 1/3*x**2 - 1/3*x**4 + n + 0*x.
-x**2*(x - 1)**2/3
Let l(z) = z**3 - 8*z**2 + 12*z. Let t be l(6). Let p(n) be the second derivative of -2/7*n**2 + 0*n**4 + 3*n + t - 1/7*n**3 + 1/70*n**5. Solve p(s) = 0.
-1, 2
Let b(f) be the first derivative of -f**6/80 - f**5/24 - f**4/24 + 2*f**2 - 8. Let z(v) be the second derivative of b(v). Suppose z(j) = 0. Calculate j.
-1, -2/3, 0
Let w(o) be the second derivative of 10*o - 1/3*o**3 + 11/6*o**4 - 11/10*o**5 - 2*o**2 + 0 + 1/5*o**6. Factor w(g).
2*(g - 2)*(g - 1)**2*(3*g + 1)
Let k = -60781/3 - -20261. Find f such that 4/9 - 2/3*f - 2/9*f**2 - 2/9*f**4 + k*f**3 = 0.
-1, 1, 2
Let o = -39273/8 - -205317/40. Let m = o - 223. Solve -m + 2/5*w + 6/5*w**2 = 0 for w.
-1, 2/3
Suppose 0 = 6*a - 10*a - 380. Let u = a + 95. Factor 1/4*y**2 + 1/4*y + u.
y*(y + 1)/4
Factor 4/7 + 8/7*r**2 - 12/7*r**4 - 4/7*r**5 - 8/7*r**3 + 12/7*r.
-4*(r - 1)*(r + 1)**4/7
Let b = 7323/505 - 51/505. Find g such that -b