at q(l) = 0.
-13, -3, -1
Let c be (-12528)/(-1620) + 14/(-6). Solve 3/5*k**3 + 9/5*k**2 - c*k + 3 = 0.
-5, 1
Let y(h) be the third derivative of h**5/15 + 2*h**4 - 56*h**3/3 - 10*h**2 - 10. Factor y(v).
4*(v - 2)*(v + 14)
Let g(m) = -m**3 + 4*m**2 - 5*m + 4. Let s be g(2). Solve 7*a**3 - a**3 + 18*a**3 + 4*a**4 + 36*a**s + 16*a = 0.
-4, -1, 0
Let h be 6/(-35)*(0 - (-56)/(-12)). Factor -1/5 + h*c**2 + 3/5*c.
(c + 1)*(4*c - 1)/5
Let d(o) be the first derivative of o**4/16 - o**3/12 - o**2/4 + 74. Factor d(m).
m*(m - 2)*(m + 1)/4
Suppose a = -1 + 3. Suppose -2*c - 31 = -5*c - 4*s, -2*c + 3*s - a = 0. Solve 0*y**4 + 1/3*y**c - 2/3*y**3 + 0*y**2 + 1/3*y + 0 = 0.
-1, 0, 1
Let o(w) = 8*w - 50. Let l be o(6). Let b be l/(-3) - 5/15. Factor 0*d**3 - 2/3*d - d**2 + 0 + b*d**4.
d*(d - 2)*(d + 1)**2/3
Let k(j) = -33*j - 58. Let s be k(-2). Factor 16/3 - s*x + 3*x**2 - 1/3*x**3.
-(x - 4)**2*(x - 1)/3
Factor -27*s**2 - 2*s**3 + 21*s**2 - 8*s**2 + 12*s - 4*s**3.
-2*s*(s + 3)*(3*s - 2)
Suppose 0 = u - 4*q - 19 - 8, -4*u + 3*q = -30. Solve -6/7*m**4 + 0*m**2 + 1/7*m + 0 - m**u = 0.
-1, -1/2, 0, 1/3
Let o(x) = x**3 + 9*x**2 + 8*x + 4. Let f be o(-8). Factor -15*j**3 - 13 + f - 6*j**2 + 9.
-3*j**2*(5*j + 2)
Let n = -69 + 73. Suppose -17 = -5*v - b, -4 = n*v - 8*v + 4*b. Factor -2/11*l + 0 - 6/11*l**2 - 6/11*l**v - 2/11*l**4.
-2*l*(l + 1)**3/11
Let -2*k**3 + 8*k**3 + 3*k**4 + 1525*k - 3 - 1531*k = 0. Calculate k.
-1, 1
Let o(w) = -w**3 - 13*w**2 - 12*w + 2. Let j be o(-12). Factor t**2 - 3*t**j - 752*t + 751*t + t**2.
-t*(t + 1)
Let o(v) be the second derivative of v**7/13860 + v**6/1320 + v**5/330 - 17*v**4/12 + 15*v. Let f(m) be the third derivative of o(m). Solve f(r) = 0 for r.
-2, -1
Find j such that -829*j**2 + 791*j**2 - j**3 - 11*j**3 - 3 - 30*j - 1 = 0.
-2, -1, -1/6
Let v(j) be the first derivative of -j**6/2 + 9*j**5/5 - 9*j**4/4 + j**3 - 50. Factor v(c).
-3*c**2*(c - 1)**3
Solve -2/3*k**2 - 932/3*k - 108578/3 = 0.
-233
Determine t so that -48 - 22/3*t**3 + 2/3*t**4 + 40*t + 44/3*t**2 = 0.
-2, 1, 6
Let t(d) be the second derivative of 3*d**5/100 + 4*d**4/5 + 29*d**3/10 + 21*d**2/5 - 52*d - 2. Determine l so that t(l) = 0.
-14, -1
Factor 13*s**3 + 390*s - 512*s - 28 - 38*s**2 - 5*s**3.
2*(s - 7)*(s + 2)*(4*s + 1)
Let j(q) be the second derivative of 14*q + 0 + 0*q**2 - 4/27*q**3 - 19/27*q**4. Factor j(f).
-4*f*(19*f + 2)/9
Let m(x) be the first derivative of 2*x**3/33 + 192*x**2/11 + 18432*x/11 - 453. Factor m(r).
2*(r + 96)**2/11
Let p = -1298 + 7789/6. Let v(t) be the third derivative of -p*t**5 + 0*t**3 + 0 + 5/24*t**6 + 0*t**4 + 0*t - 6*t**2. Let v(s) = 0. Calculate s.
0, 2/5
Let -8*w**4 + 0 - 2/3*w**5 - 56/3*w - 86/3*w**3 - 40*w**2 = 0. What is w?
-7, -2, -1, 0
Let a(o) = -o**5 - 3*o**4 + 3*o**3 - o**2 - 2*o - 2. Let z(u) = u**4 + u**2 + 1. Let f(j) = -3*a(j) - 6*z(j). What is n in f(n) = 0?
-2, -1, 0, 1
Let n(t) = -t**5 + 0*t**2 + 0*t - 6 + 8 + 3*t**4 - 2*t**2 - 2*t. Let x(s) = -s**5 - s**3 - s**2 - s + 1. Let v(a) = -n(a) + 2*x(a). Factor v(j).
-j**3*(j + 1)*(j + 2)
Find s, given that 2/19*s**2 + 9248/19 + 272/19*s = 0.
-68
Let w(n) be the second derivative of -n**7/147 + 2*n**6/35 - 4*n**5/35 - n**4/7 + 3*n**3/7 - 19*n - 3. Determine i so that w(i) = 0.
-1, 0, 1, 3
Let j(u) be the second derivative of 0*u**5 + 0*u**2 + 30*u - 1/30*u**6 + 0 + 1/12*u**4 + 0*u**3. Factor j(f).
-f**2*(f - 1)*(f + 1)
Factor 43*b**4 + b**2 - 94*b**4 + 62*b**4 - 9*b**3 + b - 4*b**5.
-b*(b - 1)**3*(4*b + 1)
Let m = 741 + -736. Let b(n) be the second derivative of 0 + 1/20*n**6 + 0*n**2 + 11*n - 9/40*n**m + 3/8*n**4 - 1/4*n**3. Find g, given that b(g) = 0.
0, 1
Factor -48/7*g + 6 + 6/7*g**2.
6*(g - 7)*(g - 1)/7
Let q(w) = -w**2 - 6*w + 4. Let j be q(-6). Determine b, given that 7*b - b**j + 0*b**4 + 4*b**3 + 0*b**2 - 5*b**2 - 5*b = 0.
0, 1, 2
Let i(u) = -u**2 + 7*u + 11. Let b be i(8). Suppose 20*r**2 - 44*r**2 + 96*r + 0*r**b + 2*r**3 - 128 = 0. What is r?
4
Let s be 10 + (-136)/8 - (6 + -13). Factor -13/9*i**3 + s + 20/9*i**2 - 10/3*i**4 - 4/9*i - i**5.
-i*(i + 2)**2*(3*i - 1)**2/9
Let y(i) be the first derivative of -9 - 1/3*i**3 - i**2 - i. Factor y(d).
-(d + 1)**2
Suppose 3*b = 4*k - 3 + 15, 4*b + 4*k = 16. Let z be (b*1*2/4)/6. Factor -1/3*f + z*f**2 + 0 + 1/3*f**3 - 1/3*f**4.
-f*(f - 1)**2*(f + 1)/3
Let g(a) be the third derivative of a**8/784 - 4*a**7/245 + 5*a**6/56 - 19*a**5/70 + a**4/2 - 4*a**3/7 - 149*a**2. Determine j, given that g(j) = 0.
1, 2
Let o be 24/18*(6 - 0). Factor 407 + 6*q**2 + 2*q**3 + o*q - 2*q - 405.
2*(q + 1)**3
Let o(p) be the first derivative of p**5/240 + p**4/48 + p**3/24 + 2*p**2 + 1. Let u(q) be the second derivative of o(q). Find x such that u(x) = 0.
-1
Suppose -8/3*y**3 + 1/3*y**5 - 32/3*y**2 + 64/3 + 4/3*y**4 + 16/3*y = 0. Calculate y.
-4, -2, 2
Let q(j) = -174*j + 86. Let f be q(-4). Let a be f/170 - (-6)/(-2). Determine r, given that -8/5*r**3 + a*r**4 + 0*r + 0 - 2/5*r**5 + 0*r**2 = 0.
0, 2
Suppose -u - 4*u = 5. Let a be 5/(-3) - 1/(u/2). Factor 1/3*x**2 + 1/6*x - a - 1/6*x**3.
-(x - 2)*(x - 1)*(x + 1)/6
Let y(a) = -7*a**4 + 70*a**3 - 127*a**2 - 20*a. Let o(r) = -8*r**4 + 70*r**3 - 126*r**2 - 24*r. Let k(s) = 5*o(s) - 6*y(s). Factor k(w).
2*w**2*(w - 33)*(w - 2)
Let a(z) be the third derivative of 1/120*z**5 + 0 + 14*z**2 + 0*z + 1/2*z**4 + 12*z**3. Factor a(h).
(h + 12)**2/2
Suppose -80*n - 200/3 - 14*n**2 - 2/3*n**3 = 0. What is n?
-10, -1
Suppose -a - 26 = -5*q - 3, -q = 4*a - 13. Suppose o + q = 8. Factor x**3 - x**3 - 9*x**2 - x**2 + 15*x - 5*x**o.
-5*x*(x - 1)*(x + 3)
Factor -2/13*r**5 + 4/13*r**4 - 8/13*r - 8/13*r**2 + 0 + 6/13*r**3.
-2*r*(r - 2)**2*(r + 1)**2/13
Factor -2/5*l**2 - 16/5*l - 14/5.
-2*(l + 1)*(l + 7)/5
Let r(u) be the second derivative of -5*u**4/12 + 95*u**3/6 - 45*u**2 + u - 30. Find t, given that r(t) = 0.
1, 18
Let o be (-4)/(4/4) - -4. Suppose -m + 4 + 0 = o. Let 4*k**4 - 2*k**5 + 8*k**m + 6*k**2 + 15*k**3 + 5*k**5 = 0. Calculate k.
-2, -1, 0
Let l = 5 - 0. Suppose 2 = 3*f - 3*h - 1, 3*f - 27 = -l*h. Factor -5*i**2 + f*i**2 + 13*i**2 - 15*i + 3.
3*(i - 1)*(4*i - 1)
Let b(v) be the third derivative of 0*v**4 + 0*v**3 - 1/1365*v**7 + 1/260*v**6 + 0*v - 1/195*v**5 - 13*v**2 + 0. Solve b(w) = 0 for w.
0, 1, 2
Let s(u) be the first derivative of -u**4/2 - 4*u**3/3 - u**2 - 107. Factor s(v).
-2*v*(v + 1)**2
Let w(q) be the third derivative of -q**8/6720 - q**7/840 - q**6/288 - q**5/240 - 5*q**3/6 + 11*q**2. Let b(s) be the first derivative of w(s). Factor b(z).
-z*(z + 1)**2*(z + 2)/4
Let i(b) be the first derivative of -b**4/6 + 20*b**3/9 + 4*b**2/3 - 80*b/3 - 77. Find d, given that i(d) = 0.
-2, 2, 10
Determine o so that -1/5*o**2 + 22/5 - 21/5*o = 0.
-22, 1
Suppose 5*b - 3*h - 2 = 13, -b = -2*h - 3. Factor 22*l**2 + 5*l**3 + l + 7*l + 7*l**b - 2.
2*(l + 1)**2*(6*l - 1)
Let o(x) be the third derivative of x**5/12 + 25*x**4/6 + 95*x**3/6 - 292*x**2. Let o(c) = 0. What is c?
-19, -1
Let r be (-8569)/(-9592) + 14/(-8) + 1. Let z = -2/109 + r. Determine n so that z*n**2 + 1/8*n**5 + 1/2 + n - 5/8*n**3 - 1/8*n**4 = 0.
-1, 2
Factor -51*s**2 - 747*s**4 + 743*s**4 + 24*s - s**2 + 32*s**3.
-4*s*(s - 6)*(s - 1)**2
Let f(m) = -m**2 - m. Let o(r) = 18*r**3 + 16*r**2 - 38*r - 8. Let n(w) = -6*f(w) + o(w). Determine v so that n(v) = 0.
-2, -2/9, 1
Let w(h) be the third derivative of -32*h**7/35 + 14*h**6/5 + 9*h**5 - 475*h**4/8 + 125*h**3 + h**2 + 41*h. Solve w(a) = 0.
-2, 5/4
Let n be (-964)/(-10)*4/(-8). Let u = -48 - n. Solve 3/5*r**3 - u*r - r**4 + 0 + 1/5*r**2 + 2/5*r**5 = 0.
-1/2, 0, 1
Let a(w) be the third derivative of w**6/60 + w**5/15 - w**4/3 - 8*w**3/3 + 230*w**2. Factor a(l).
2*(l - 2)*(l + 2)**2
Let t(k) be the third derivative of 18*k**2 + 0 + 0*k + 0*k**3 + 0*k**4 - 1/168*k**8 - 1/35*k**7 - 1/20*k**6 - 1/30*k**5. Factor t(z).
-2*z**2*(z + 1)**3
Let s(o) = o**3 - 7*o**2 + 12*o - 21. Let a be s(8). Let g = -135 + a. Factor -9/7*m**2 - 12/7*m**3 - 5/7*m**g + 0 - 2/7*m.
-m*(m + 1)**2*(5*m + 2)/7
Let f(r) be the first derivative of -r**3/9 - r**2 - 55. Find t, given that f(t) = 0.
-6, 0
Let o(h) be the third derivative of h**5/210 + 3*h**4/28 - 10*h**3/21 + 310*h**2. Determine z, given that o(z) = 0.
-10, 1
Let x(y) = -9*y**2 - 9*y - 8. Let n(z) = 7*z**2 + 9*z + 6. Let q(d) = 4*n(d) + 3*x(d). What is l in 