0 for c.
-128, 0
Let k(g) be the third derivative of g**7/4200 - g**5/50 + g**4/12 + 19*g**2. Let q(m) be the second derivative of k(m). Factor q(w).
3*(w - 2)*(w + 2)/5
Let r = -83517/5 + 16704. Let 0*y + r*y**2 - 3/5 = 0. What is y?
-1, 1
Let g(n) be the second derivative of -n**7/21 + n**6/15 + n**5/2 - n**4/6 - 8*n**3/3 - 4*n**2 + 4*n - 9. Factor g(d).
-2*(d - 2)**2*(d + 1)**3
Let t(l) be the third derivative of 2/105*l**7 + 8/3*l**3 - 5*l**2 + 0 - 1/5*l**6 - 2*l**4 + 0*l + 13/15*l**5. Let t(d) = 0. Calculate d.
1, 2
Let t be ((-45)/(-270))/((-1)/(-18)). Let y(z) be the first derivative of -1/2*z**2 + 3/2*z - 1/6*z**t + 14. Factor y(s).
-(s - 1)*(s + 3)/2
Let h(w) = w**3 + w**2 + 2*w - 4. Let q be h(0). Let s be (3/q)/((-164)/32 - -1). Suppose 4/11*c + s*c**4 + 10/11*c**2 + 0 + 8/11*c**3 = 0. Calculate c.
-2, -1, 0
Let f be (3 - 5)/(-1 + 11/12). Suppose 226*m + 80*m**4 - 6*m**2 - 268*m**3 + 32 - 50*m + 102*m**2 + f*m**2 = 0. What is m?
-2/5, -1/4, 2
Suppose -410*g + 1096*g - 2972 + 228 = 0. Determine p so that -4/19*p**3 + 4/19*p**2 + 6/19*p + 2/19 - 2/19*p**5 - 6/19*p**g = 0.
-1, 1
Let b be (-2)/7 + 366/(-42). Let y = 11 + b. Determine k, given that k + 2 + 3*k**y + 3 - 7 + 0 = 0.
-1, 2/3
Let v(r) be the third derivative of -r**6/60 + r**5/15 - r**4/12 - 77*r**2 - r. Factor v(o).
-2*o*(o - 1)**2
Let j(d) = -11*d**4 - 13*d**3 - 29*d**2 - 9*d. Let x(h) = -h**4 + 2*h**3 + h**2 + h. Let i(p) = -j(p) + 6*x(p). Factor i(q).
5*q*(q + 1)**2*(q + 3)
Let x(w) be the third derivative of w**8/672 - 17*w**7/420 + 43*w**6/240 + 241*w**5/120 + 35*w**4/6 + 25*w**3/3 + w**2 - 68*w. Factor x(o).
(o - 10)**2*(o + 1)**3/2
Suppose 4*d - 26 - 6 = 0. Suppose 5*s = 4*r - 1, 4*s - d = -0*r + r. Factor -c**3 + 3*c**2 + 5*c**3 - 2*c**2 - 1 - c - s*c**3.
(c - 1)*(c + 1)**2
Let m(b) = b**4 - 2*b**3 + 4*b**2 - b + 1. Suppose 4*g + 16 = -4*g. Let o(s) = -s**3 - s**2 - 1. Let a(q) = g*o(q) - 2*m(q). Suppose a(c) = 0. What is c?
0, 1
Let s(p) = 2*p + 56. Let b be s(6). Let x be ((-51)/b)/((-54)/(-16)*-1). Factor 4/9*l - x - 2/9*l**2.
-2*(l - 1)**2/9
Let h = 91606/13 - 7046. Factor -2/13*z**4 - 4/13*z**3 + 0 + 16/13*z + h*z**2.
-2*z*(z - 2)*(z + 2)**2/13
Let v = 88865/51 - 5227/3. Find s, given that 12/17*s - v*s**2 - 10/17 = 0.
1, 5
Let p(w) = 13*w**3 - 26*w**2 + 168*w - 171. Let r(f) = -7*f**3 + 12*f**2 - 84*f + 86. Let n(y) = -6*p(y) - 11*r(y). Factor n(c).
-(c - 20)*(c - 2)**2
Factor -8/3 + 1/6*b**2 + 0*b.
(b - 4)*(b + 4)/6
Let 343/4 - 245/2*u - 11/2*u**3 + 42*u**2 + 1/4*u**4 = 0. Calculate u.
1, 7
Let 55 - 2*b**2 - 28 + 0*b**2 - 2*b**3 + 2*b - 25 = 0. Calculate b.
-1, 1
Let u(d) = 5*d**3 - 25*d**2 + 45*d - 15. Let r(g) = g**2 + 1. Let b = 1 - -4. Let p(y) = b*r(y) - u(y). Find z such that p(z) = 0.
1, 4
Let c(g) be the second derivative of -3/10*g**3 + 1/50*g**6 - 3/20*g**4 - 1/5*g**2 + 1/100*g**5 - 12*g + 0. Factor c(x).
(x - 2)*(x + 1)**2*(3*x + 1)/5
Let t(b) = b**3 + 10*b**2 + 10*b + 9. Let m be t(-9). Suppose 3*f = -0*f - 3, -2*r + 5*f + 9 = 0. Let -8*k - k**2 - 2*k**2 - k**r + m*k**2 = 0. What is k?
-2, 0
Let r be -7 + -5 + (-1 - -5). Let d = r + 11. Determine s so that -5*s**4 - 5*s**2 + 7*s**4 + 7*s**2 - 4*s**d = 0.
0, 1
Determine p, given that -240/13*p**2 - 166/13*p + 8/13*p**4 - 28/13 - 94/13*p**3 = 0.
-1, -1/4, 14
Let q(l) be the second derivative of -2*l**7/105 - 2*l**6/75 + l**5/25 + l**4/15 - 6*l. Factor q(j).
-4*j**2*(j - 1)*(j + 1)**2/5
Let a(w) be the third derivative of 0 - 1/300*w**5 + 0*w + 23*w**2 + 0*w**4 + 2/15*w**3. Factor a(x).
-(x - 2)*(x + 2)/5
Factor -58*m**2 + 244*m**2 + 2*m**4 + 2*m + 39*m - 31*m - 1100 + 38*m**3.
2*(m - 2)*(m + 5)**2*(m + 11)
Let a(f) be the second derivative of 7*f**6/25 + 61*f**5/50 + 19*f**4/10 + f**3 - 2*f**2/5 + 27*f - 1. Factor a(s).
2*(s + 1)**3*(21*s - 2)/5
Let n be 4/22 - 384/(-66). Factor -y - y**2 - 3*y**3 - 2*y**2 + y**4 + n*y**2.
y*(y - 1)**3
Let w = -2 - -4. Find r, given that -3*r - 14 + 14 + 5*r**2 - w*r = 0.
0, 1
Let d(h) be the second derivative of -h**7/735 + h**5/105 - h**3/21 + 2*h**2 - 13*h. Let x(z) be the first derivative of d(z). Solve x(g) = 0 for g.
-1, 1
Let z(m) be the third derivative of 5*m**8/336 + 5*m**7/42 + m**6/8 - 5*m**5/12 - 5*m**4/6 + 3*m**2 + 10*m. Determine k, given that z(k) = 0.
-4, -1, 0, 1
Let m be (4704/9800)/(26/30 - 2/3). Determine i, given that 2/5*i**3 - m*i + 0 - 2/5*i**2 = 0.
-2, 0, 3
Let h(o) = -3*o**2 - 11*o - 4. Let u be h(-3). What is z in 21*z**2 - 97*z**u + 24*z + 289*z**3 + 20*z**4 - 257*z**3 = 0?
-3, 0, 2/5, 1
Let y be (22/1815)/(72/(-5)). Let q = 647/1188 - y. Suppose -6/11*w**4 + 4/11*w**3 + 0 + q*w**2 - 4/11*w = 0. Calculate w.
-1, 0, 2/3, 1
Let t be (-40)/30*(-542)/4. Let j = -180 + t. Determine w, given that 4*w**2 + 6*w + 0 + j*w**3 = 0.
-3, 0
Let q(d) be the first derivative of -d**6/57 + 4*d**5/19 - 17*d**4/19 + 104*d**3/57 - 37*d**2/19 + 20*d/19 + 59. Find o, given that q(o) = 0.
1, 2, 5
Factor 14 - 95*c**3 - 29*c + 16*c**2 + 49*c**3 + 45*c**3.
-(c - 14)*(c - 1)**2
Solve -4/3*i + 28/9*i**3 + 4/9*i**4 + 52/9*i**2 - 8 = 0.
-3, -2, 1
Let b(t) be the third derivative of t**6/420 - 3*t**5/70 - 17*t**4/42 - 8*t**3/7 + 626*t**2. Factor b(x).
2*(x - 12)*(x + 1)*(x + 2)/7
Let s(i) = 206*i**2 + i + 4. Let c be s(0). Factor -3/4*l**2 - 3/8*l**5 - 3/8 - 3/4*l**3 + 9/8*l + 9/8*l**c.
-3*(l - 1)**4*(l + 1)/8
Let x(f) = f**4 - f**3 + f. Let k(y) = -20*y**5 - 40*y**4 - 5*y**3 + 5*y**2 - 5*y. Let d(w) = -k(w) - 5*x(w). Factor d(i).
5*i**2*(i + 1)**2*(4*i - 1)
Let a = -186/5 + 188/5. Let v(t) be the first derivative of 2 + 2/45*t**3 + a*t + 4/15*t**2. Solve v(l) = 0 for l.
-3, -1
Let v(n) be the first derivative of -n**4/2 - 18*n**3 + n**2 + 54*n - 100. Factor v(i).
-2*(i - 1)*(i + 1)*(i + 27)
Let k(l) = 8*l**3 - 2*l**2 - 6*l - 10. Let a(f) = -33*f**3 + 9*f**2 + 24*f + 42. Let g(v) = 5*a(v) + 21*k(v). Factor g(n).
3*n*(n - 1)*(n + 2)
Let o be 6/(-18)*48/(-2) + -4. Factor -2*l - 2*l**2 + 14 - 14 + o*l**3 + 0*l**2.
2*l*(l - 1)*(2*l + 1)
Solve -778*p**3 + 1466*p**3 - 796*p**3 - 160*p**2 - 39*p - 9*p - 20*p**4 = 0.
-3, -2, -2/5, 0
Let o = 88 - 91. Let a be (9/63)/(o/(-9)). Factor 3/7*i - a*i**2 + 0.
-3*i*(i - 1)/7
Let d(a) be the third derivative of -a**7/8820 - a**6/2520 + a**4/12 - 16*a**3/3 + 44*a**2. Let w(q) be the second derivative of d(q). Factor w(t).
-2*t*(t + 1)/7
Let v(w) = -w**3 - 4*w**2 + 5*w + 5. Let y(t) = -6*t**2 + 1. Let p be y(-1). Let r be v(p). Factor 4/7*f**2 + 0 + 0*f**4 - 6/7*f**3 + 0*f + 2/7*f**r.
2*f**2*(f - 1)**2*(f + 2)/7
Let 3*g**3 + 0*g**2 + 0 - 3/5*g**4 + 0*g = 0. What is g?
0, 5
Let 20/9*z + 82/9*z**2 + 88/9*z**3 + 8/9*z**4 + 0 = 0. What is z?
-10, -1/2, 0
Suppose -2/5*x - 2/5*x**2 + 24/5 = 0. What is x?
-4, 3
Suppose -s = 3*t + 8 + 6, 0 = -3*t + 3*s - 30. Let k be (-32)/t + (0 - 2). Factor -k*q**2 + 14/3*q - 2 + 2/3*q**3.
2*(q - 3)*(q - 1)**2/3
Suppose 0 = 3*o, -71*t + 69*t - 2*o + 8 = 0. Suppose -10/17*h**3 - 88/17*h + 132/17*h**2 - 50/17*h**t + 16/17 = 0. What is h?
-2, 2/5, 1
Let f(p) be the third derivative of -p**7/70 - 3*p**6/40 + 13*p**5/20 + 15*p**4/8 - 861*p**2. Factor f(h).
-3*h*(h - 3)*(h + 1)*(h + 5)
Let f = -126 + 84. Let x = -125/3 - f. What is a in -1/3*a**4 + 2/3*a**2 - x*a**3 + 1/6*a**5 - 1/3 + 1/6*a = 0?
-1, 1, 2
Factor -12*u + 1/3*u**4 + 14/3*u**3 + 7*u**2 + 0.
u*(u - 1)*(u + 3)*(u + 12)/3
Let z(n) be the first derivative of n**6/1440 + n**5/120 + n**4/24 + 4*n**3 - 10. Let q(w) be the third derivative of z(w). Find g, given that q(g) = 0.
-2
Let o be (-2)/(-4) + 1 + 66/(-44). Suppose 3 + 2 = 5*j. Find t, given that 0*t - t - t**2 + o + j + 2*t - t**3 = 0.
-1, 1
Let f = -2461 + 22165/9. Factor 32/9*r**2 + f*r + 2/9.
2*(4*r + 1)**2/9
Let l(o) be the second derivative of 3*o**5/10 + 23*o**4/6 + 40*o**3/3 - 16*o**2 + 119*o. Factor l(s).
2*(s + 4)**2*(3*s - 1)
Factor -8/9*k + 2/9*k**3 + 80/9 - 20/9*k**2.
2*(k - 10)*(k - 2)*(k + 2)/9
Suppose -w - 4*w + 12 = -2*v, 3 = w - v. Factor 2*a**2 + 22*a**4 + 6*a**w - 6*a**4 - 20*a**3 - 4*a**5.
-4*a**2*(a - 2)*(a - 1)**2
Factor 5*k**3 - 16/3*k + 0 - 2/3*k**4 - 8*k**2.
-k*(k - 4)**2*(2*k + 1)/3
Let v = -77 - -77. Determine o so that v + 2/7*o - 2/7*o**2 = 0.
0, 1
Let k(s) be the first derivative of 3*s**4/10 - 14*s**3/5 + 6*s**2 - 160. Factor k(w).
6*w*(w - 5)*(w - 2)/5
Find n, given t