actor 62*x + 28*x - t*x**3 - 13*x**2 + 88*x**2 - 15*x**4 + 5*x**5.
5*x*(x - 3)**2*(x + 1)*(x + 2)
Suppose 43*h + 17 - 38 = 65. Suppose -3/2*a + 0 + 3/2*a**h = 0. Calculate a.
0, 1
Factor -68 + 4 + 16 + 52*z - 4*z**2.
-4*(z - 12)*(z - 1)
Let z(b) = 8*b**3 + 40*b**2 + 237*b - 288. Let d(r) = 30*r**3 + 162*r**2 + 949*r - 1152. Let k(t) = 6*d(t) - 22*z(t). Factor k(n).
4*(n - 1)*(n + 12)**2
Let u(r) be the third derivative of r**6/540 + r**5/18 + 11*r**4/27 - 294*r**2. Factor u(p).
2*p*(p + 4)*(p + 11)/9
Let j(i) be the third derivative of -i**7/350 - i**6/40 - 3*i**5/100 + 9*i**4/40 + 2*i**2 - 7. Solve j(w) = 0.
-3, 0, 1
Let w(k) be the first derivative of k**6/4 - 6*k**5/5 + 3*k**4/2 + k**3 - 15*k**2/4 + 3*k - 703. Factor w(j).
3*(j - 2)*(j - 1)**3*(j + 1)/2
Let a(u) be the first derivative of u**3/4 - 45*u**2/8 - 81*u/2 - 265. Determine d so that a(d) = 0.
-3, 18
Let z(b) be the third derivative of -b**6/720 - b**5/48 - b**4/12 - b**3 + b**2. Let d(a) be the first derivative of z(a). Factor d(j).
-(j + 1)*(j + 4)/2
Suppose 4*o = 4*n + 3235 - 3259, -n + 6 = 3*o. Find g, given that 0*g - 2/11*g**3 + o - 10/11*g**2 = 0.
-5, 0
Let s = -27 + 28. Let t be (-5)/(180/56) - s*-2. Determine j, given that 2/9*j**4 + 4/9*j**5 - 14/9*j**2 - t*j + 0 - 4/3*j**3 = 0.
-1, -1/2, 0, 2
Let q(n) be the third derivative of 0*n + 1/315*n**7 + 0*n**4 + 2/45*n**5 - 1/36*n**6 + 0*n**3 + 19*n**2 + 0. Find k, given that q(k) = 0.
0, 1, 4
Let r = 200 + -797/4. Let w(c) be the first derivative of -c**3 - 1/2*c**6 + 4 + 3/5*c**5 + r*c**4 + 0*c + 0*c**2. Solve w(k) = 0.
-1, 0, 1
Let h(q) be the third derivative of -q**6/24 + 7*q**5/9 - 35*q**4/72 - 5*q**3 + 3*q**2 - 8. Factor h(s).
-5*(s - 9)*(s - 1)*(3*s + 2)/3
Let k(t) be the first derivative of 9*t**6/2 + 36*t**5/5 - 57*t**4/2 + 20*t**3 - 9*t**2/2 - 38. Suppose k(p) = 0. What is p?
-3, 0, 1/3, 1
Let o = -55 - -49. Let i be 91/(-35) - o/2. What is s in i - 12/5*s + 2*s**2 = 0?
1/5, 1
Let p = 9365 + -9362. Solve 0*t**2 + 0 + 1/7*t**p - 1/7*t = 0.
-1, 0, 1
Let i be (3/(-4))/(42/(-224)). Factor u + 7/4*u**i - 19/4*u**3 + 2*u**2 + 0.
u*(u - 2)*(u - 1)*(7*u + 2)/4
Let m(l) be the first derivative of l**4/16 + 7*l**3/6 - 51*l**2/8 + 357. Factor m(p).
p*(p - 3)*(p + 17)/4
Suppose -5*x - 191 = -2441. Let k be 0 - 2/(-15) - (-4665)/x. Suppose -6*j**2 + k*j + 3 = 0. Calculate j.
-1/4, 2
Let x(d) = 15*d**5 + 96*d**4 - 35*d**3 - 517*d**2 - 114*d + 273. Let g(f) = -2*f**4 - f**2 - 2*f - 1. Let k(r) = -7*g(r) + x(r). Solve k(z) = 0.
-7, -2, -1, 2/3, 2
Suppose 0*v + 18 = 9*v. Factor 11*i**2 - 4*i**3 + 64 + 28*i - 26*i - 39*i**v - 34*i.
-4*(i - 1)*(i + 4)**2
Determine r so that 1/3*r**2 + 1/3*r - 4 = 0.
-4, 3
Let g(h) be the first derivative of -2*h**3/11 - 267*h**2/11 - 48*h - 316. Find v, given that g(v) = 0.
-88, -1
Let f(j) = 2*j - 22. Let w be f(11). Suppose -5*q + q - 3*h = w, -5*q + 4*h = 0. What is v in 0*v**3 - 2/5*v**5 + q*v**2 + 0*v + 0 + 2/5*v**4 = 0?
0, 1
Let p be ((-56)/(-24) + 5 - 6)*(-12)/(-34). Factor 2/17*o**2 - p*o + 0.
2*o*(o - 4)/17
Let c be 0/(5 + 1 - 5). Factor 12/7*o**3 + c + 0*o - 12/7*o**2 - 3/7*o**4.
-3*o**2*(o - 2)**2/7
Let x(c) be the first derivative of -1/25*c**5 - 1/20*c**4 + 1/15*c**3 + 0*c + 5 + 1/10*c**2. Factor x(p).
-p*(p - 1)*(p + 1)**2/5
Let m = 13702 + -13700. Determine s so that 20/3*s + 5/3*s**m - 25/3 = 0.
-5, 1
Let x be (25/60)/(240/216). Factor -x*v**3 + 1/8*v**4 - 1/8*v**2 + 3/8*v + 0.
v*(v - 3)*(v - 1)*(v + 1)/8
Solve 22*q + q + 5*q + 2*q - 27*q**2 - 3*q**3 = 0 for q.
-10, 0, 1
Let l(u) be the first derivative of 0*u**4 + 3/20*u**5 + 0*u**3 + 0*u - 5 + 0*u**2 + 1/24*u**6. Factor l(g).
g**4*(g + 3)/4
Factor -52/3 + 22/3*l + 2/3*l**2.
2*(l - 2)*(l + 13)/3
Let r(v) = -3*v + 28. Let b be r(0). Suppose -96*p**2 - 64*p + 16*p**3 + 92*p**2 + 4*p**4 - 24 + 4 - b = 0. What is p?
-3, -2, -1, 2
Factor -59*g**2 - 86*g**2 - 5*g**4 + g**4 + 137*g**2 + 12*g**3.
-4*g**2*(g - 2)*(g - 1)
Let r = 588 + -1175/2. Let a(k) be the third derivative of -1/15*k**5 - r*k**4 - 4/3*k**3 + 0*k + 6*k**2 + 0. Factor a(x).
-4*(x + 1)*(x + 2)
Let o(a) be the first derivative of -a**6/340 - 2*a**5/255 + a**4/51 - 35*a**2/2 - 13. Let r(i) be the second derivative of o(i). Find l such that r(l) = 0.
-2, 0, 2/3
Let h(i) be the first derivative of 2*i**6/3 - 32*i**5/5 - 31*i**4 - 88*i**3/3 + 603. Determine j so that h(j) = 0.
-2, -1, 0, 11
Let q(j) be the second derivative of 11*j**5/90 + 13*j**4/54 - 20*j**3/27 - 4*j**2/9 + 4*j - 14. Factor q(z).
2*(z - 1)*(z + 2)*(11*z + 2)/9
Factor 13172*o + 3042 + 0*o**3 - 10286*o - 154*o**2 + 2*o**3.
2*(o - 39)**2*(o + 1)
Determine b so that -10*b**2 + 0*b**5 + 7*b**2 - 15*b**4 - 2*b**2 + 15*b**3 + 5*b**5 = 0.
0, 1
Let w(z) be the first derivative of -21 - 5/12*z**3 + 0*z + 1/2*z**2 + 1/16*z**4. Factor w(n).
n*(n - 4)*(n - 1)/4
Let g be -2 + 12/(-78) + 8300/3926. Let y = 2748/755 + g. Let y*j**3 + 0 + 0*j + 3/5*j**4 + 27/5*j**2 = 0. Calculate j.
-3, 0
Let l = 17 - 15. Factor -k - 2*k**2 - l - 4 - 7*k.
-2*(k + 1)*(k + 3)
Let k(m) = m**3 - 5*m**2 - 2*m + 3. Let v = 23 + -17. Let a(b) = -2*b**3 + 11*b**2 + 5*b - 7. Let n(y) = v*a(y) + 14*k(y). Find l, given that n(l) = 0.
0, 1
Let o(c) be the first derivative of -1/36*c**4 + 10*c - 8/3*c**2 + 4/9*c**3 + 5. Let i(f) be the first derivative of o(f). Find k, given that i(k) = 0.
4
Let o be 366/312 + 51/663. Determine s, given that 1/4 - s + s**2 + 1/2*s**5 - o*s**4 + 1/2*s**3 = 0.
-1, 1/2, 1
Let o(s) = -945*s**2 - 620*s + 215. Let n be -57 + 4 + -3 + 1. Let y(x) = -35*x**2 - 23*x + 8. Let c(v) = n*y(v) + 2*o(v). Factor c(j).
5*(j + 1)*(7*j - 2)
Let g(a) = -2*a**2 - 89*a + 288. Let w be g(3). Determine x, given that -1/4*x**w + x**2 - 5/4*x + 1/2 = 0.
1, 2
Suppose -29 = 5*d - 4, 3*y + 2 = -d. Factor 2 - 4*i + 4 + y - 2*i**3 + 5*i**2 - 6.
-(i - 1)**2*(2*i - 1)
Factor -40/11*r**2 + 1152/11 - 96/11*r - 2/11*r**3.
-2*(r - 4)*(r + 12)**2/11
Suppose -12*m = -35*m + 184. Let n(v) be the third derivative of 1/105*v**7 + 0*v**5 + 0 + 0*v**4 + 0*v**3 + m*v**2 + 0*v - 1/60*v**6. Solve n(q) = 0.
0, 1
Suppose 5*k + 2*k = 0. Suppose 2*q + k*q = 0. Find i, given that 1/3*i + q + 1/3*i**5 + 0*i**2 - 2/3*i**3 + 0*i**4 = 0.
-1, 0, 1
Let d(a) be the first derivative of -a**6/36 - 2*a**5/15 + a**4/3 + 23*a**3/3 + 17. Let v(h) be the third derivative of d(h). Solve v(o) = 0 for o.
-2, 2/5
Let l(i) be the second derivative of 2/21*i**3 + 3/7*i**2 - 2*i - 1/42*i**4 + 0. Factor l(t).
-2*(t - 3)*(t + 1)/7
Let u be 1 - 62/66 - 3040/(-36960). Factor 1/7*c**2 - 2/7 + u*c.
(c - 1)*(c + 2)/7
Solve 18/5*f**4 + 36/5*f**2 - 39/5*f**3 + 0 - 12/5*f - 3/5*f**5 = 0.
0, 1, 2
Let -2/13*r**5 + 100/13 - 8/13*r**3 + 16/13*r**4 - 116/13*r**2 + 10/13*r = 0. What is r?
-2, -1, 1, 5
Let v(y) be the third derivative of -y**6/630 + 11*y**5/420 + y**4/14 + 29*y**3/6 + 9*y**2. Let d(z) be the first derivative of v(z). Solve d(j) = 0 for j.
-1/2, 6
Let s be (156/(-2457))/(2/(-7)). Solve s*j**3 - 4/9 + 10/9*j - 8/9*j**2 = 0 for j.
1, 2
Suppose 3*d = 7*d + 4*j + 28, -4*j = -5*d - 17. Let g be (d/(-20))/((42/16)/3). Factor 2/7*c**5 + 4/7*c**2 + 0 + 0*c**3 - g*c - 4/7*c**4.
2*c*(c - 1)**3*(c + 1)/7
Suppose 0 = 3*h + 2*h. Let q be -2 - (468/(-27) + h/(-1)). Factor -18*d**2 - 26/3*d - q*d**3 - 4/3 - 14/3*d**4.
-2*(d + 1)**3*(7*d + 2)/3
Let a(r) be the second derivative of 30*r - 2/3*r**3 - 1/21*r**7 - 7/6*r**4 - 9/10*r**5 - 1/3*r**6 + 0*r**2 + 0. Suppose a(g) = 0. Calculate g.
-2, -1, 0
Let b be (-4*3/40)/6*(-12)/3. Factor 1/5*i - b*i**2 + 6/5.
-(i - 3)*(i + 2)/5
Let s(v) be the first derivative of 5*v**6/3 + 16*v**5/5 - 39*v**4/2 + 68*v**3/3 - 8*v**2 + 9. Find m, given that s(m) = 0.
-4, 0, 2/5, 1
Let d be (1 - -1 - 0) + 0. Suppose 5*q**5 - 2*q**d + 10*q**4 + 0*q - 8*q**2 - 5*q = 0. Calculate q.
-1, 0, 1
Let i be (-52)/(-24) - 1/6. Let c(z) be the second derivative of 0 + 27/7*z**i - 1/70*z**5 + 3/14*z**4 - 9/7*z**3 - z. Factor c(p).
-2*(p - 3)**3/7
Let q(n) = -n**2 - 7*n + 30. Suppose -33*k + 35*k = -20. Let i be q(k). What is v in 0 - 6/5*v**3 + i*v**2 - 2/5*v**4 + 8/5*v = 0?
-2, 0, 1
Let a(w) be the first derivative of -w + 2/3*w**2 + 5/9*w**3 - 1/6*w**4 - 3. Determine z so that a(z) = 0.
-1, 1/2, 3
Let z(k) = 8*k**4 - 18*k**3 - 61*k**2 + 99*k - 48. Let v(x) = -4*x**4 + 8*x**3 + 30*x**2 - 50*x + 2