2240 + f**6/960 - f**5/20 - 28*f**2. Let k(z) be the third derivative of l(z). Factor k(y).
-3*(y - 1)**3/4
Let m(x) be the second derivative of -x**7/210 - x**6/45 - x**3/2 - 3*x. Let j(o) be the second derivative of m(o). Factor j(v).
-4*v**2*(v + 2)
Let u(q) = -45*q**2 + 224*q + 53. Let d(o) = 90*o**2 - 445*o - 105. Let s(r) = -3*d(r) - 5*u(r). Factor s(i).
-5*(i - 5)*(9*i + 2)
Suppose -5*n - 28 = 3*z, 6*n - 3*n = -5*z - 52. Let u = 11 + z. Determine s so that u - 5/2*s**4 + 5/2*s**2 - s + 9/2*s**3 - 7/2*s**5 = 0.
-1, 0, 2/7, 1
Let y be 6/(-6)*281 - -6. Let x be 5*(11/(y/(-60)) + -2). Factor 5/4*v**4 + 3*v**3 + 3/2*v**x - 3/4 - v.
(v + 1)**3*(5*v - 3)/4
Determine h, given that 176/5*h**2 + 196/5 + 322/5*h + 32/5*h**3 = 0.
-2, -7/4
Suppose 3*s - 24 = -9. What is w in 2*w - 4*w + w + s*w - 2*w**2 = 0?
0, 2
Let f = -2/119 + 125/357. Let y(x) be the first derivative of -4/3*x + 2/9*x**3 - f*x**2 + 2. Factor y(w).
2*(w - 2)*(w + 1)/3
Let w = 16 - -10. Let v(m) = w*m**3 + 1 - 2*m**2 - 27*m**3 + 2*m**2. Let q(a) = -4*a**3 - 4*a**2 - 2*a + 2. Let g(f) = q(f) - 2*v(f). Factor g(c).
-2*c*(c + 1)**2
Let h(a) be the second derivative of 1/80*a**5 - 1/80*a**6 + 2*a**3 + 6*a + 0*a**4 + 0 + 0*a**2. Let d(k) be the second derivative of h(k). Factor d(j).
-3*j*(3*j - 1)/2
Suppose -3*o + c = -753, 2*o + c - 488 = -3*c. Let a = o + -2748/11. Suppose 0 - a*l**4 + 0*l + 2/11*l**3 + 4/11*l**2 = 0. Calculate l.
-1, 0, 2
Solve 3*x**4 + 11430*x**3 + 50*x**2 + 32*x - 11411*x**3 - 2*x**4 = 0.
-16, -2, -1, 0
Suppose 5 = 2*j - 21. Suppose -j*c**2 + 5*c**4 - 4*c**4 - 4*c + 2*c**3 + 10*c**2 + 4 = 0. Calculate c.
-2, 1
Suppose 22*b - 60 = 18*b. Suppose -b*g + 32 = -13. Find n, given that 0 - n**2 + 0*n + 1/4*n**g = 0.
0, 4
Suppose -4*w + 5 = -5*u, w - 12 + 1 = -2*u. Suppose 5 = -3*g - 2*q + 13, 3*g - q - w = 0. Factor 0*x + 0*x**g - 6/7*x**4 + 0 + 3/7*x**3 - 9/7*x**5.
-3*x**3*(x + 1)*(3*x - 1)/7
Let g(u) = u**3 - 24*u**2 + 44*u + 27. Let m be g(22). Let x = -53/2 + m. Factor l - x - 1/2*l**2.
-(l - 1)**2/2
Factor -22*c + 363 + 1/3*c**2.
(c - 33)**2/3
Let m(c) be the second derivative of c**9/22680 + c**8/2016 + c**7/945 + 5*c**4/4 - c**3/2 + 39*c. Let t(x) be the third derivative of m(x). Factor t(i).
2*i**2*(i + 1)*(i + 4)/3
Let w(p) be the first derivative of 4*p**5/5 - 2*p**4 + 4*p**2 - 4*p - 179. Factor w(x).
4*(x - 1)**3*(x + 1)
Let g = 1937/136 - 240/17. Let j(z) be the third derivative of -1/120*z**6 + 5*z**2 + 0*z - g*z**4 - 1/20*z**5 - 1/6*z**3 + 0. Solve j(u) = 0.
-1
Let s(r) be the third derivative of r**6/1260 + r**5/420 - r**4/42 + 11*r**3/6 - 8*r**2. Let a(b) be the first derivative of s(b). What is q in a(q) = 0?
-2, 1
What is r in 125/3*r**2 - 13/9*r**4 + 28/9 + 154/9*r**3 + 236/9*r = 0?
-1, -2/13, 14
Let i(x) be the third derivative of -13*x**7/315 + 11*x**6/180 + x**5/45 + 4*x**2 + 12. Let i(j) = 0. What is j?
-2/13, 0, 1
Let f(m) be the third derivative of -9/175*m**7 + 0*m + 1/50*m**5 + 0 - m**2 - 9/560*m**8 - 1/25*m**6 + 1/40*m**4 + 0*m**3. Let f(n) = 0. Calculate n.
-1, -1/3, 0, 1/3
Let b(i) = -25*i**4 + 140*i**3 + 235*i**2 + 76*i. Let g(v) = 75*v**4 - 420*v**3 - 705*v**2 - 227*v. Let j(o) = 17*b(o) + 6*g(o). Factor j(w).
5*w*(w - 7)*(w + 1)*(5*w + 2)
Let d(c) = 3*c**3 - 11*c**2 - 16*c - 12. Let g(q) = 4*q**3 - 12*q**2 - 16*q - 12. Let x(z) = 5*d(z) - 4*g(z). Factor x(f).
-(f + 2)**2*(f + 3)
Let l be (-44)/(-242)*(-22)/(-2). Factor 48/7*o - 3/7*o**4 + 192/7 + 33/7*o**3 - 108/7*o**l.
-3*(o - 4)**3*(o + 1)/7
Let x(r) be the first derivative of r**3/6 + 125*r**2 + 31250*r + 315. Factor x(j).
(j + 250)**2/2
Let w be -2 + 20 - 1 - 3. Determine x so that 2 - 2 + 17*x**5 - w*x**5 + 6*x**4 = 0.
-2, 0
Let r(z) = -z**2 + 7*z - 3. Let h be r(6). Factor s**h - 132*s**4 - 63 - 20*s**5 + 59 - 16*s**5 - 185*s**3 - 36*s - 120*s**2.
-4*(s + 1)**3*(3*s + 1)**2
Let k(u) be the third derivative of -u**6/40 + 4*u**5/35 - u**4/14 - 55*u**2 - 5. Determine b, given that k(b) = 0.
0, 2/7, 2
Let o be (-12)/(-234)*(-29)/(-2). Let w = -1/13 + o. What is q in -w*q**2 + 0*q + 8/3 = 0?
-2, 2
Find d, given that 8*d**2 - 16*d**2 + 6*d**2 + 14*d**2 + 4*d - 40 = 0.
-2, 5/3
Suppose -7*h = 9*h - 5*h. Let k(i) be the third derivative of -1/210*i**7 + 0*i**4 + 0*i**3 + h*i**5 - 5*i**2 + 0 + 0*i + 0*i**6. Solve k(w) = 0.
0
Factor 25/3 + 1/3*m**3 + 5*m - 3*m**2.
(m - 5)**2*(m + 1)/3
Let f(v) be the first derivative of -2*v**6/3 + 8*v**5/5 - 8*v**3/3 + 2*v**2 + 69. Factor f(m).
-4*m*(m - 1)**3*(m + 1)
Factor -322624*b**2 - 11453152/3*b**3 - 512/3 - 36352/3*b - 50823362/3*b**4.
-2*(71*b + 4)**4/3
Let j(k) be the second derivative of -2*k + 1/39*k**4 + 0*k**5 - 1/13*k**2 + 0 + 0*k**3 - 1/195*k**6. Solve j(b) = 0.
-1, 1
Suppose 5*u - 5 = -0. Factor -10*x**2 - u + 3*x**2 + x + 5*x**2 + 3 - x**3.
-(x - 1)*(x + 1)*(x + 2)
Suppose -14*v - 16 = -18*v. Suppose v*g = g + 6. Let -2*r**3 + 6*r**4 - 5*r**4 - 3*r**4 + 0*r + 2*r + 2*r**g = 0. Calculate r.
-1, 0, 1
Let b(h) be the first derivative of -h**3/6 + 173*h**2/4 - 818. Suppose b(n) = 0. Calculate n.
0, 173
Let z be (-11 + 6)*72/(-5). Suppose -z = -3*j + 99. Factor 3*s**4 + 2*s**3 + 57*s**2 - j*s**2 + s**5.
s**3*(s + 1)*(s + 2)
Let i(m) be the third derivative of m**6/135 - m**5/27 - 2*m**4/27 + 2*m**3/9 + 4*m**2 - 10. Solve i(b) = 0 for b.
-1, 1/2, 3
Let q(j) be the second derivative of j**5/4 - 5*j**4/12 - 15*j**3/2 + 45*j**2/2 - 21*j + 1. Determine g so that q(g) = 0.
-3, 1, 3
Let i(g) be the first derivative of -g**5/2 + 11*g**4/4 - 4*g**3/3 - 140. Find p, given that i(p) = 0.
0, 2/5, 4
Let p be 3652/60 - (0 + (-2)/15). Let d = -57 + p. What is r in -5/6*r**3 + 1/3 - 1/2*r**d + 5/6*r + 1/6*r**2 = 0?
-1, -2/3, 1
What is d in -10 - 14 + 4*d + 36 - 12 + 2*d**2 = 0?
-2, 0
Let l be 2*(-5)/(-2 - (-16)/12). Suppose -l = -2*i - i. Find m such that 2/3*m + m**4 - m**2 + 5/3*m**i + 0 - 7/3*m**3 = 0.
-1, 0, 2/5, 1
Let s(m) be the second derivative of -m**4/12 - m**3/6 - 38*m + 1. Factor s(j).
-j*(j + 1)
Factor 6*d**2 + 0 + 2/5*d**4 + 16/5*d**3 + 0*d.
2*d**2*(d + 3)*(d + 5)/5
Let m(g) be the first derivative of -2*g**2 - 1/4*g**4 - 5*g + 1/4*g**5 - 2*g**3 + 1. Let q(v) be the first derivative of m(v). Factor q(h).
(h - 2)*(h + 1)*(5*h + 2)
Let o(y) be the first derivative of y**3/3 - 3*y**2/2 - 28*y - 447. Suppose o(h) = 0. Calculate h.
-4, 7
Let o be (-195)/(-9) + (-2)/(-6). Determine q, given that -3*q - 12*q**2 + o*q - 7 - 9 + 13*q = 0.
2/3, 2
Let h(c) = -c + 11. Let a be h(15). Let t be a/(-18) - (-168)/1188. Factor -t - 2/11*d + 2/11*d**2.
2*(d - 2)*(d + 1)/11
Let z be (-2)/4 - (-9)/2. Factor 24*b**3 - 6*b - 10*b**3 - 12*b**3 + z*b**2.
2*b*(b - 1)*(b + 3)
Let p(x) be the first derivative of x**4/2 + 68*x**3/3 + 31*x**2 - 132*x - 348. What is z in p(z) = 0?
-33, -2, 1
Let r(o) be the first derivative of 3/7*o**2 - 6 + 1/7*o**3 - 3/28*o**4 + 0*o. Factor r(l).
-3*l*(l - 2)*(l + 1)/7
Factor -627*z + 1092*z**2 - 10*z**3 - 3*z**5 - 78*z**4 + 39*z - 413*z**3.
-3*z*(z - 1)**2*(z + 14)**2
Let u(i) = 7*i**3 - 227*i**2 - 454*i - 241. Let y(n) = -8*n**3 + 228*n**2 + 452*n + 244. Let d(x) = -4*u(x) - 3*y(x). Factor d(h).
-4*(h - 58)*(h + 1)**2
Let i = -164 + 192. Suppose -8*a = -i*a. Factor -2/5*k**3 + 0*k + a + 2/5*k**2.
-2*k**2*(k - 1)/5
Determine c, given that -11/2*c**2 - 1/2*c**3 - 13/2 + 25/2*c = 0.
-13, 1
Suppose -25/6*h**3 + 4*h + 1/6*h**5 + 1/2*h**4 + 25/6*h**2 - 14/3 = 0. Calculate h.
-7, -1, 1, 2
Let y(q) = -q**3 + 8*q**2 - 6*q - 6. Let a be y(7). Let i = 3 - a. Factor -1/6*z**i + 1/3 + 1/6*z.
-(z - 2)*(z + 1)/6
Let q be ((275/60)/(-11))/(30/(-48)). Let -4/3*y**3 + 4/3*y**2 - 2/3 + q*y**5 + 2/3*y - 2/3*y**4 = 0. Calculate y.
-1, 1
Let z(i) = i**2 + 13*i + 25. Let k be z(-10). Let u be 10/(-135)*6*(3 + k). Suppose -2/9*d**3 - 16/9*d - u - 10/9*d**2 = 0. Calculate d.
-2, -1
Let q(u) be the first derivative of 16 - 4/27*u**3 + 4/3*u - 4/9*u**2. Factor q(d).
-4*(d - 1)*(d + 3)/9
Let s(r) be the second derivative of -r**5/110 - 5*r**4/66 - 2*r**3/11 + 268*r. Factor s(f).
-2*f*(f + 2)*(f + 3)/11
Let c(g) be the second derivative of g**6/360 - g**5/120 - 17*g**3/6 - 6*g. Let f(z) be the second derivative of c(z). Determine t, given that f(t) = 0.
0, 1
Let f(h) be the third derivative of h**5/300 - 5*h**4/8 - 38*h**3/15 + 202*h**2. Factor f(n).
(n - 76)*(n 