*s**2 - j*s**3 + 0*s. What is x in h(x) = 0?
0
Let u = -264 - -268. Let q(d) be the third derivative of 1/70*d**5 + 0*d - 1/735*d**7 - 1/420*d**6 + 0 + 6*d**2 + 2/21*d**3 + 5/84*d**u. Factor q(p).
-2*(p - 2)*(p + 1)**3/7
Let y(t) be the first derivative of 0*t**2 + 0*t**3 + 0*t**5 - 1/3*t**6 + 0*t + 20 + 1/2*t**4. Determine v so that y(v) = 0.
-1, 0, 1
Let h be -12 - 24/(-16) - -11. Factor a**2 - h*a - 1/2*a**3 + 0.
-a*(a - 1)**2/2
Let s(h) be the first derivative of 0*h**2 + 0*h + 0*h**3 - 2/45*h**5 - 11 + 1/36*h**4 + 1/54*h**6. Suppose s(g) = 0. Calculate g.
0, 1
Let p = 6212/9 - 24335/36. Find n, given that -6*n**2 - 9/2 + p*n - 15/4*n**3 = 0.
-3, 2/5, 1
Let z(f) = -3*f + 23. Let o be z(7). Factor 100 + 103*b + 125*b**3 + 686*b**o - 241*b - 342*b - 161*b**2.
5*(b + 5)*(5*b - 2)**2
Let q = 13328 - 93295/7. Solve q*k**2 - 8/7 - k = 0.
-1, 8
Let j be (2/(-28)*-4)/((-24)/(-21)). Let u(h) be the first derivative of j*h**4 + 0*h**3 - 1/4*h - 3/8*h**2 + 10. Factor u(m).
(m - 1)*(2*m + 1)**2/4
Let r(u) = 11*u**5 + 27*u**4 - 141*u**3 - 310*u**2 - 199*u - 41. Let h(c) = -2*c**5 + c**2 + c - 1. Let a(k) = 5*h(k) - r(k). Find y, given that a(y) = 0.
-2, -1, -2/7, 3
Let c(z) be the second derivative of -z**5/100 + 7*z**4/30 - 13*z**3/6 + 10*z**2 + 8*z - 3. Solve c(u) = 0.
4, 5
Factor -1/4*b**3 + 0*b**2 + 3/4*b - 1/2.
-(b - 1)**2*(b + 2)/4
Let a(m) be the second derivative of m**4/108 - 10*m**3/9 + 50*m**2 - 11*m. What is c in a(c) = 0?
30
Let h = 16398/17 - 1069712/1105. Let v = -40/13 - h. Factor 6/5*p + 0 - v*p**2.
-2*p*(p - 3)/5
Let t be 5/90*-3 - (-222)/36. Let b(w) be the first derivative of -10/3*w**3 - t*w + 7*w**2 + 1/2*w**4 + 8. Let b(r) = 0. What is r?
1, 3
Suppose -4*l - 8 = -3*g, -8 = 2*g - 0*g + 4*l. Let p(d) be the second derivative of 5*d - 1/15*d**3 - 1/30*d**4 + 0*d**2 + g. Determine i, given that p(i) = 0.
-1, 0
Let x be 2*(4 - 6/((-12)/(-14))). Let a be (x/27*-6)/((-120)/(-36)). Factor 3/5*r - 3/5*r**3 + a - 1/5*r**4 - 1/5*r**2.
-(r - 1)*(r + 1)**2*(r + 2)/5
Let c = -1943/35 - -390/7. Let a(o) be the second derivative of -o - c*o**5 + 2/3*o**3 + 0*o**4 - 1/15*o**6 + o**2 + 0. Factor a(m).
-2*(m - 1)*(m + 1)**3
Let m(w) = w**2 + 3*w - 44. Let t be m(-9). Factor -23*j + 5*j**2 - 7*j - t + 35.
5*(j - 5)*(j - 1)
Factor 10*p**5 - 5*p**4 + 5*p**4 - 12*p**5 + 8*p**4 - 8*p**3.
-2*p**3*(p - 2)**2
Let i = -28137 - -28140. What is v in -14/3*v**4 - 92/3*v**2 - 22*v**i + 16/3 - 8*v = 0?
-2, -1, 2/7
Factor 18 - 2*t**4 + 10*t**3 + 8*t**2 - 46*t - t**5 + 5*t + 8*t.
-(t - 2)*(t - 1)**2*(t + 3)**2
Let z(k) be the first derivative of k**3/18 - k**2/2 + 5*k/6 + 613. Factor z(o).
(o - 5)*(o - 1)/6
Let j = 36 - 28. Factor j*a**3 + 4*a**2 - a**5 - a**4 + 2*a**5 - 12*a**3 + 0*a**5.
a**2*(a - 2)*(a - 1)*(a + 2)
Let o be (68/6)/((-3)/54*2). Let i be (-2 + 20)/(-2)*4/o. Solve 0*f - i*f**2 + 2/17*f**3 + 8/17 = 0 for f.
-1, 2
Suppose 0 = 10*i + 29*i - 273. Let o(h) be the first derivative of -2/3*h + 1/2*h**2 + i - 1/9*h**3. What is x in o(x) = 0?
1, 2
Let w(y) = 3*y**2 - y - 2. Let d(h) = 5*h**2 + 3*h - 8. Let n(g) = d(g) - 2*w(g). Factor n(f).
-(f - 4)*(f - 1)
Let n(w) be the third derivative of w**6/60 - 7*w**5/10 + 5*w**4/3 + 127*w**2. Find d, given that n(d) = 0.
0, 1, 20
Let d(m) = -10*m**4 - 3*m**3 + 37*m**2 - 27*m - 9. Let a(i) = -i**4 - i**3. Let y(z) = 6*a(z) - d(z). Let y(x) = 0. Calculate x.
-3, -1/4, 1, 3
Let w(g) be the third derivative of g**5/30 - g**4 + 11*g**3/3 - 18*g**2 + g. Suppose w(o) = 0. What is o?
1, 11
Let z = -785755/69 - -11388. Let j = 2/23 + z. Solve 4/3*x + 1 + j*x**2 = 0 for x.
-3, -1
Let o(x) = -5*x**2 - 2*x + 10. Let b(c) = -32*c + 37*c - 29 + 5*c**2 + 9*c**2. Let f(h) = 6*b(h) + 17*o(h). Factor f(u).
-(u + 2)**2
Find w, given that -279*w**2 - 288*w**2 - 3*w**3 + 573*w**2 = 0.
0, 2
Let x be 3/(-15)*(-2 - 60/(-48)). Let v(s) be the second derivative of 0*s**3 - 9*s + 0*s**2 - 1/12*s**4 - 1/10*s**6 - 1/42*s**7 + 0 - x*s**5. Factor v(n).
-n**2*(n + 1)**3
Factor -8/5*l + 8/3 + 2/15*l**2.
2*(l - 10)*(l - 2)/15
Let y be 12/(-210)*-5*7. Let h(o) be the second derivative of 0 + 16/3*o**2 - y*o + 1/18*o**4 - 8/9*o**3. Find a such that h(a) = 0.
4
Suppose -1/5*n**2 + 16/5*n + 0 = 0. Calculate n.
0, 16
Let p(w) be the first derivative of w**6/360 + w**5/24 - w**4/4 + 32*w**3/3 - 24. Let u(r) be the third derivative of p(r). Factor u(f).
(f - 1)*(f + 6)
Let o be 10/(-25) + (-519)/(-585). Let b = o - 2/13. Factor b*p**3 + 0*p + 2/3*p**2 + 0.
p**2*(p + 2)/3
Suppose -2*m - 2*p + 4 = -5*m, 0 = -5*m + 3*p - 5. Let -60*s**3 - 2*s**2 - s**2 + 5*s**4 - 5*s**2 - 12*s**m + 75*s**5 = 0. Calculate s.
-2/3, -2/5, 0, 1
Let f be 2*9*(-3 - -2). Let m = -12 - f. Factor 5*a - 26 - m*a**3 + 0*a**3 + a + 2*a**2 + 24.
-2*(a - 1)*(a + 1)*(3*a - 1)
Let h(m) be the first derivative of m**3/6 + 13*m**2/4 + 20*m + 41. Determine g, given that h(g) = 0.
-8, -5
Let a = -2187 + 13157/6. Let u = 19/3 - a. Solve u*l - 1/2*l**2 - 1/2*l**3 + 0 + 1/2*l**4 = 0.
-1, 0, 1
Let z(b) be the second derivative of b**6/480 - b**4/32 + b**3/12 + 39*b**2/2 - 8*b. Let n(d) be the first derivative of z(d). Factor n(g).
(g - 1)**2*(g + 2)/4
Let x(o) be the third derivative of -5/6*o**5 + 0*o + 21*o**2 - 5/42*o**7 - 5/12*o**6 - 5/6*o**3 + 0 - 5/336*o**8 - 25/24*o**4. Suppose x(r) = 0. What is r?
-1
Factor -4394/5 + 76/5*l**3 + 2/5*l**4 + 936/5*l**2 + 676*l.
2*(l - 1)*(l + 13)**3/5
Let f(g) be the third derivative of -g**6/60 - g**5/30 + 3*g**4/4 + 3*g**3 - 122*g**2. Factor f(y).
-2*(y - 3)*(y + 1)*(y + 3)
Solve -22/7*s**2 - 17/7*s**4 - 4*s**3 - 8/7*s - 4/7*s**5 - 1/7 = 0 for s.
-1, -1/4
Suppose k - 2*m = 16, -12*k + m + 30 = -6*k. Factor 256/7*f**k + 432/7*f + 81/7 + 864/7*f**2 + 768/7*f**3.
(4*f + 3)**4/7
Let h = 335 - 554. Let k be 4/6 + (-6 - h/36). Factor -1/4*v**2 + k*v - 1/2.
-(v - 2)*(v - 1)/4
Let n(v) be the second derivative of -7*v**5/4 - 115*v**4/36 - 5*v**3/9 - 2*v + 59. Factor n(w).
-5*w*(w + 1)*(21*w + 2)/3
Let o = -36 + 40. Let l(j) = 3*j**2 - 1. Let u be l(-1). What is q in u + 0 + q**2 + q**2 + o*q = 0?
-1
Let f be -5 - 2 - 3/(72/8)*-23. Factor 20/3 - 14/3*p + f*p**2.
2*(p - 5)*(p - 2)/3
Let n be (-2)/36*(352/(-22) + 1). Factor -1/6*o**4 - 3/2*o**2 - 1/3 - 7/6*o - n*o**3.
-(o + 1)**3*(o + 2)/6
Let f(m) be the second derivative of -9/50*m**5 - 4/15*m**3 + 0*m**2 + 20*m - 2/5*m**4 + 1/35*m**7 + 0 + 2/75*m**6. Suppose f(j) = 0. Calculate j.
-1, -2/3, 0, 2
Let j(z) be the first derivative of -z**3/6 - 7*z**2 - 26*z + 267. Find q, given that j(q) = 0.
-26, -2
Let d(b) be the first derivative of -b**9/1008 + b**8/70 + 28*b**3/3 - 54. Let y(k) be the third derivative of d(k). Find w, given that y(w) = 0.
0, 8
Let n(a) = 2*a - 14. Let q be n(11). Let d be (-7*1)/((-3)/180). Factor 420*m - 20*m**3 - d*m + q*m**2.
-4*m**2*(5*m - 2)
Let g(w) = 4*w**2 - w - 2. Let j be g(-2). Suppose -3 = -5*l - 2*f + j, -3*f + 21 = 5*l. Factor -4*n**3 + 4*n + n**4 - l*n**4 + 2 + 0*n**3 + 0.
-2*(n - 1)*(n + 1)**3
Let a(j) be the second derivative of j**4/6 - 10*j**3/3 + 210*j. Factor a(i).
2*i*(i - 10)
Let v(w) be the third derivative of w**7/1080 + w**6/540 + w**4/12 - 4*w**2. Let z(s) be the second derivative of v(s). Determine u so that z(u) = 0.
-4/7, 0
Let v(r) be the second derivative of -27*r**6/5 + 531*r**5/10 + 448*r**4/3 + 316*r**3/3 + 32*r**2 + 4*r + 9. Suppose v(g) = 0. What is g?
-1, -2/9, 8
Factor 24/11*b + 2/11*b**3 - 12/11*b**2 - 16/11.
2*(b - 2)**3/11
Let h(q) be the third derivative of -5/3*q**4 + 0*q + 13/3*q**5 + 0*q**3 - 11/4*q**6 - 11/6*q**7 + 35/48*q**8 + 0 - 35*q**2. Let h(m) = 0. Calculate m.
-1, 0, 2/7, 2
Suppose 2*x - 2*g = 0, 5 = 4*x - 3*g - 0. Factor 9/2*y - 9*y**2 - 7*y**3 + 27/2 - 11/6*y**4 - 1/6*y**x.
-(y - 1)*(y + 3)**4/6
Find p such that 1/3*p**5 + 38/3 + 45*p + 178/3*p**2 + 104/3*p**3 + 8*p**4 = 0.
-19, -2, -1
Let s(y) = 6*y - 2*y - 3 - 1 + 7*y. Let u be s(4). Factor -u + 2*h**2 + 16 + 22.
2*(h - 1)*(h + 1)
Let d be 0 + -3 + -5 + 39. Let p = 33 - d. Let -l**2 - p*l**2 - 2*l**2 + 8*l**2 = 0. What is l?
0
Let n(h) = -15*h**2 - 24*h - 3. Let q(x) = -1 - 9*x**2 + 20*x**2 - 10*x**2. Let v(d) = 2*n(d) + 10*q(d). Factor v(c).
-4*(c + 2)*(5*c + 2)
Let z be 1/((-64 + 0)/2). Let x = z + 25/32. Let -1/4*k**3 + 1/4 + x*k**2 - 3/4*k = 0. Calculate k.
1
Let x(l) = -l. Let i(