2 = 0. Calculate c.
0, 1/5, 1
Factor 8/3*q**3 - 5/2*q**2 + 0 - 1/6*q**4 + 0*q.
-q**2*(q - 15)*(q - 1)/6
Let g(m) be the first derivative of -3*m**4 + 157*m**3/3 - 6*m**2 - 13*m + 11. Determine t so that g(t) = 0.
-1/4, 1/3, 13
Let l = 41/84 - -1/84. Let u be (-9)/(27/6)*-1. Factor -l*g**4 + 0*g**u + 0 + 0*g + 1/2*g**3.
-g**3*(g - 1)/2
Let c(o) = 9*o**4 - 23*o**3 + 22*o**2 - 6*o + 1. Let m(w) = w**3 + w**2 + 1. Let x(r) = c(r) - m(r). Factor x(u).
3*u*(u - 1)**2*(3*u - 2)
Suppose 2*b - 74 = -0*b. Suppose 2 = v - 0. Factor -b*n**2 + 37*n**2 - v + n**3 - 3*n.
(n - 2)*(n + 1)**2
Factor -183*t**4 - 12*t**3 - 173*t**4 + 353*t**4 + 12*t + 3*t**2.
-3*t*(t - 1)*(t + 1)*(t + 4)
Suppose -407*x + 872*x - 1395 = 0. Factor 64/3*j**2 + 4*j + 4*j**x - 40/3.
4*(j + 1)*(j + 5)*(3*j - 2)/3
Let f(l) be the second derivative of -3*l**4/16 + 89*l**3/4 - 177*l**2/8 + 673*l. Find j such that f(j) = 0.
1/3, 59
Let j = 3/8195 + 8189/16390. Factor 0 - j*v**2 + 0*v.
-v**2/2
Let a(n) be the third derivative of -n**8/50400 + n**6/1800 - n**5/450 + 7*n**4/12 + 11*n**2. Let q(v) be the second derivative of a(v). Factor q(l).
-2*(l - 1)**2*(l + 2)/15
Let f(t) be the second derivative of t**7/77 - 3*t**6/55 + 3*t**5/110 + 3*t**4/22 - 2*t**3/11 + 9*t. Determine a, given that f(a) = 0.
-1, 0, 1, 2
Let v(i) be the first derivative of -2*i**3/3 + 39*i**2 + 80*i - 244. Factor v(x).
-2*(x - 40)*(x + 1)
Let c(h) = -9*h**2 - 2*h - 44. Let l(a) = -5*a**2 - 23. Let u(m) = -4*c(m) + 7*l(m). Suppose u(z) = 0. What is z?
-5, -3
Suppose 0*j**2 - 17/3*j**4 + 0*j + 0 - 16/3*j**3 - 1/3*j**5 = 0. What is j?
-16, -1, 0
Let q(a) = -a**2 + 8*a - 6. Let j be q(6). Suppose 0 = -2*n + j - 2. Factor 4*t + 5*t**n - t**2 - 2*t**2.
2*t*(t + 2)
Let m(s) be the first derivative of s**4/22 - 10*s**3/33 - 13*s**2/11 - 14*s/11 - 79. Find v, given that m(v) = 0.
-1, 7
Determine p so that 2/17*p**3 + 0 + 18/17*p**2 + 16/17*p = 0.
-8, -1, 0
Let z(t) be the first derivative of -8/3*t**3 + 0*t - 1/2*t**2 - 17/4*t**4 + 11 - 2*t**5. Factor z(i).
-i*(i + 1)*(2*i + 1)*(5*i + 1)
Let h be 46/(-460)*25/(-3). Let m(n) be the second derivative of -5*n + h*n**4 + 0*n**2 + 5/12*n**5 + 1/2*n**3 + 0. Find s such that m(s) = 0.
-3/5, 0
Let w be 228/38*(56/54 - 1). Let m(q) be the first derivative of 0*q + 0*q**2 - 4 + w*q**3. Factor m(x).
2*x**2/3
Let g(w) = 3*w**2 + 13*w - 8 - 48*w + 4. Let r(l) = -l**2 + 12*l + 1. Let u(c) = 6*g(c) + 17*r(c). Factor u(d).
(d - 7)*(d + 1)
Let g = -81 - -745/9. Factor 32/9 + 2/9*p**2 - g*p.
2*(p - 4)**2/9
Factor 8/5 - 1/5*t**3 - 2/5*t - t**2.
-(t - 1)*(t + 2)*(t + 4)/5
Let 4*g**2 - 620*g**5 - 6*g**2 + 2*g**4 + 619*g**5 + g**3 = 0. Calculate g.
-1, 0, 1, 2
Suppose -18 + 0 = -6*m. Let m*u**2 + 3*u - 3*u**4 + 0*u - 4*u + 4*u - 3*u**3 = 0. What is u?
-1, 0, 1
Let r(m) be the third derivative of -3/70*m**7 + 0 + 1/48*m**8 + 1/60*m**6 + 0*m**4 - 8*m**2 + 0*m**3 + 0*m + 0*m**5. Factor r(a).
a**3*(a - 1)*(7*a - 2)
Factor -110*v**2 - 1200*v - 782 - v**3 - 1922 + 2*v**2 - v**3 - 360*v.
-2*(v + 2)*(v + 26)**2
Let x(s) be the third derivative of s**6/240 - 7*s**5/120 + s**4/8 + 11*s**2 + 1. Factor x(f).
f*(f - 6)*(f - 1)/2
Let x be (-81)/18*(-8)/6. Factor -7*p**3 - 10*p**3 + 14*p**3 - 3 - 9*p - 3*p**2 - x*p**2.
-3*(p + 1)**3
Let z(w) be the second derivative of -1/32*w**4 + 8*w + 3/160*w**5 - 1/16*w**3 + 0 + 3/16*w**2. Find o such that z(o) = 0.
-1, 1
Let k(t) = 2*t**3 + t**2 - t. Suppose 0 = -4*w - 20, 3*m = -0*w + w + 8. Let q be k(m). Let 4*l - 8*l**q - 4*l + 2*l + 6*l**3 = 0. Calculate l.
0, 1/3, 1
Suppose 17 = 5*t + 5*r - 8, 0 = 5*t - r + 5. Suppose 0 = o - t - 3. Factor 12*b**2 - o*b**3 + 4*b**5 + 7*b**3 - 10*b**4 - 4*b - 4*b - 2*b**4.
4*b*(b - 2)*(b - 1)**2*(b + 1)
Let k(g) be the third derivative of -12/5*g**6 - 19/6*g**4 + 0*g**7 + 0 + 0*g + 9/28*g**8 - 62/15*g**5 - 4/3*g**3 - 8*g**2. Find b such that k(b) = 0.
-1, -1/3, 2
Let g(v) be the second derivative of v**7/1260 - v**6/360 + v**5/360 + 15*v**2/2 - 26*v. Let q(h) be the first derivative of g(h). Suppose q(i) = 0. What is i?
0, 1
Let r = -2706 - -2708. Factor 0 - 2/13*z + 2/13*z**r.
2*z*(z - 1)/13
Let a(c) be the first derivative of 1/4*c**3 + 1 + 3/16*c**4 - 3/16*c**2 - 3/8*c - 1/16*c**6 - 3/40*c**5. Solve a(x) = 0.
-1, 1
Suppose -4*q = -q - 6, -164 = -3*x - q. Suppose 3*f + 3*f = x. Factor 3*t**2 + 4*t**2 - f*t - t**2 - 2*t**3 + t**3.
-t*(t - 3)**2
Let w be 2/(-4)*(-6 - -6). Let s(i) be the second derivative of -1/6*i**4 - 2/3*i**3 + w + 8*i - i**2. Let s(u) = 0. Calculate u.
-1
Let l = -117/109 + 577/436. Factor 1/4 - 1/2*v**3 - 3/4*v**4 + 1/2*v**2 - l*v**5 + 3/4*v.
-(v - 1)*(v + 1)**4/4
Let y(j) be the second derivative of -1/10*j**5 - 1/3*j**4 + 0 + 0*j**2 + 0*j**3 + 2/15*j**6 + 1/21*j**7 + 30*j. Factor y(s).
2*s**2*(s - 1)*(s + 1)*(s + 2)
Let q be 9/(-42)*4/(-6). Let n = -762/11 - -5356/77. Factor -1/7 - q*l**2 + n*l.
-(l - 1)**2/7
Suppose -221 = 19*o - 259. Factor 14/3*m - 2 - 4/3*m**o.
-2*(m - 3)*(2*m - 1)/3
Suppose -396*s = 152*s - 11*s. Find j such that s - 2/9*j**2 - 1/3*j**3 + 0*j - 1/9*j**4 = 0.
-2, -1, 0
Let f be 41746/12*5/(75/10). Let c = f + -2317. Factor 0 + c*g**2 - 50/9*g**3 - 2/9*g.
-2*g*(5*g - 1)**2/9
Let g(h) = -h**3 - 7*h**2 - 7*h - 4. Let o be g(-6). Factor 3*t**o - 2*t**3 + 2*t**3 - 3*t**3.
-3*t**2*(t - 1)
Let 23*j + 8/3*j**4 - 38/3*j**2 - 8*j**3 + j**5 - 6 = 0. Calculate j.
-3, 1/3, 1, 2
Let q(d) be the first derivative of 2*d**4 + 0*d + 6/5*d**5 - 2*d**2 - 2/3*d**3 + 25. Find u such that q(u) = 0.
-1, 0, 2/3
Let f(a) = 3 + 4*a**3 - 11*a + 19*a**2 + 6 + 2 + 8*a**3. Let n(v) = v**3 + v**2 - v + 1. Let k(x) = -2*f(x) + 22*n(x). Factor k(o).
-2*o**2*(o + 8)
Let s(r) = 13*r**4 - 17*r**3 - 20*r**2 + 56*r - 12. Let q(j) = 11*j**4 - 17*j**3 - 21*j**2 + 55*j - 13. Let n(p) = -4*q(p) + 3*s(p). Let n(f) = 0. What is f?
-2, 2/5, 1, 4
Let v(s) be the second derivative of -6*s + 65/4*s**4 + 0 - 30/7*s**7 - 5*s**2 - 37/6*s**6 + 37/4*s**5 - 5/6*s**3. Find o such that v(o) = 0.
-1, -1/4, 2/9, 1
Let i(q) be the second derivative of q**6/240 + q**5/24 - 5*q**2 - 9*q. Let c(o) be the first derivative of i(o). Factor c(j).
j**2*(j + 5)/2
Let l = -162/31 - -355/62. Factor j - 1/2 - l*j**2.
-(j - 1)**2/2
Let f be (2/(-5))/((-8)/40). Determine b, given that -4*b + 14*b**4 - 9*b**5 + 13*b**5 + 2*b**f + 16*b**3 - 4*b**2 - 4*b**3 = 0.
-2, -1, 0, 1/2
Factor 10/11 - 8/11*g - 2/11*g**2.
-2*(g - 1)*(g + 5)/11
Let t(q) = 5*q + 7. Let k be t(-2). Let i be k - (55/(-10) - 2). Determine x so that -3/2*x**4 + 3/2*x - i*x**2 + 0 + 9/2*x**3 = 0.
0, 1
Let r(z) be the third derivative of -z**6/75 + 23*z**5/150 - z**4/2 - 3*z**3/5 - 82*z**2. Factor r(k).
-2*(k - 3)**2*(4*k + 1)/5
Let d(c) be the first derivative of 3 + 4/7*c**3 + 1/70*c**5 + 8/7*c**2 + 1/7*c**4 - c. Let z(x) be the first derivative of d(x). Solve z(b) = 0 for b.
-2
Let i(a) be the first derivative of -5*a**6/6 + 8*a**5 - 55*a**4/2 + 140*a**3/3 - 85*a**2/2 + 20*a + 1. Find q such that i(q) = 0.
1, 4
Let w(y) be the first derivative of -y**5/10 - y**4 - 11*y**3/3 - 6*y**2 + 42*y + 13. Let h(n) be the first derivative of w(n). Let h(z) = 0. What is z?
-3, -2, -1
Let l = -13987/36 - -1555/4. Factor l*v**2 + 0*v**3 + 4/9*v**5 - 2/3*v**4 + 0*v + 0.
2*v**2*(v - 1)**2*(2*v + 1)/9
Let y(n) be the first derivative of -n**5 - 50*n**4 - 2000*n**3/3 - 708. Solve y(s) = 0.
-20, 0
Let z = -71 - -76. Suppose 0*u + 3*m = -2*u + 6, -5*u = -z*m - 15. Suppose 0 + 4/7*j**2 + 2/7*j**4 - 6/7*j**u + 0*j = 0. Calculate j.
0, 1, 2
Let o = 21/5 - 251/60. Let n(x) be the third derivative of 0 - 5*x**2 + 1/2*x**3 + 0*x + 1/6*x**4 + o*x**5. Factor n(p).
(p + 1)*(p + 3)
Let m(a) = 3*a**3 + 1. Let z be m(1). Suppose -2*x - 4 = 2*g, z*x + 8 = 2*g - 12. Factor -8/5*b + 4/5 + 4/5*b**g.
4*(b - 1)**2/5
Let p(d) be the third derivative of -d**8/336 + d**7/70 + d**6/120 - 7*d**5/60 + 2*d**3/3 - 20*d**2 - 5. Factor p(b).
-(b - 2)**2*(b - 1)*(b + 1)**2
Suppose 5*d + 25 = u + 27, 4*u + 6*d = 44. Suppose 8/3*k + u + 2/9*k**2 = 0. Calculate k.
-6
Suppose 75 = 7*v - 2*v. Suppose 315*f**4 - 22*f - 32*f**2 - 5*f + 8*f**2 + 141*f**3 + v*f = 0. What is f?
-2/5, -1/3, 0, 2/7
Let c(q) be the second derivative of -5/48*q**4 + 0*q**3 + 11*q + 0*q**2 + 1/120*q**6 + 1 - 1/20*q**5. Factor c(f).
f**2*(f - 5)*(f + 1)/4
Let x(i) be the secon