e of 7/3*s**3 + 6 + 7/2*s**2 + 2*s. Let u(o) = -29*o**2 - 28*o - 8. Let n(h) = -9*d(h) - 2*u(h). Factor n(g).
-(g + 1)*(5*g + 2)
Let v be (-6)/16*3*(143 - 145). Let n = 3/19 + 45/76. Suppose v*m**2 - 3/2*m + 0 - n*m**3 = 0. What is m?
0, 1, 2
Let g = 1 - -1. Let b be -2*(12/(-4) + g). Determine p so that 0*p - 1/2*p**b + 1/2 = 0.
-1, 1
Let i(u) be the third derivative of 0 + 11/24*u**6 + 0*u - 1/14*u**7 - 5/4*u**5 - 5/3*u**3 + 11*u**2 + 15/8*u**4. Determine g so that i(g) = 0.
2/3, 1
Factor 40*o**3 - 5*o**5 - 199 + 80*o**2 - 10*o**4 + 39 + 293970*o - 294050*o.
-5*(o - 2)**2*(o + 2)**3
Let g(k) be the second derivative of 1/130*k**5 + 5*k + 0 + 1/26*k**4 + 0*k**2 + 2/39*k**3. Solve g(b) = 0 for b.
-2, -1, 0
Let s(a) be the second derivative of -2*a**6/15 + 9*a**5/10 + 5*a**4/6 - 15*a - 2. Determine l, given that s(l) = 0.
-1/2, 0, 5
Let w = 29697 + -326649/11. Let -2/11*n**2 - 16/11 + w*n = 0. Calculate n.
1, 8
Let g = 2075/2788 + 4/697. Factor -3/2*n - 3/4 - g*n**2.
-3*(n + 1)**2/4
Let h(o) be the third derivative of -o**5/20 - 7*o**4 - 55*o**3/2 + 2*o**2 - 107. Factor h(y).
-3*(y + 1)*(y + 55)
Suppose 4*f = -c - 10, -5*c + 0 = 3*f - 1. Let x(z) = 2*z + 25. Let a be x(-9). Factor y - 5 + 4*y**c + a - 2.
y*(4*y + 1)
Find p, given that -4*p**3 + 166/7*p - 30/7*p**2 + 12/7 = 0.
-3, -1/14, 2
Let n(u) be the first derivative of -u**3/4 - 3*u**2/4 + 9*u/4 - 72. Determine m, given that n(m) = 0.
-3, 1
Let m(g) be the second derivative of -g**7/189 - g**6/15 + 2*g**5/15 + 10*g**4/27 - 36*g - 9. Determine y so that m(y) = 0.
-10, -1, 0, 2
Let b(r) = -r**3 - 3*r**2 - 3*r - 5. Suppose -k - 24 = -21. Let c be b(k). Let 4/3*n**2 + 8/3*n**3 - 8/3*n + 2/3 - 2*n**c = 0. What is n?
-1, 1/3, 1
Let w(g) be the third derivative of g**5/150 + 7*g**4/60 - g**2 - 35. Factor w(s).
2*s*(s + 7)/5
Let 26/3*f - 6*f**2 - 8/3 = 0. What is f?
4/9, 1
Let h be (-318)/(-14) - (-20)/70. Let q = -18 + h. Factor -10*o**4 + 5*o**3 - 15*o + q*o**5 + 8*o + 7*o.
5*o**3*(o - 1)**2
Let d be 8/10*(-377)/39. Let k = 28/3 + d. Factor 0*t**3 + 4/5*t + k*t**4 + 0 - 8/5*t**2 - 4/5*t**5.
-4*t*(t - 1)**3*(t + 1)/5
Suppose 31*l + 23*l = 0. Let h(b) be the first derivative of 1/4*b**4 - 1/10*b**5 + 0*b**3 + l*b + 0*b**2 - 3. Factor h(x).
-x**3*(x - 2)/2
Let v(z) be the first derivative of z**6/5 - 4*z**5/25 - 13*z**4/10 + 16*z**3/15 + 4*z**2/5 - 322. Solve v(g) = 0.
-2, -1/3, 0, 1, 2
Let l = -17290/9 + 1924. Determine r, given that 4/3*r**4 + 0 + l*r**3 + 8/3*r**2 + 8/9*r + 2/9*r**5 = 0.
-2, -1, 0
Factor -44/7*p + 24 - 4/7*p**2.
-4*(p - 3)*(p + 14)/7
Let m(z) be the third derivative of -1/1176*z**8 - 1/140*z**6 + 0*z**4 - 1/210*z**5 - 1/245*z**7 + 13*z**2 + 0*z**3 + 0*z + 0. Suppose m(u) = 0. Calculate u.
-1, 0
Let s(b) be the third derivative of -b**6/240 - 43*b**5/120 - 83*b**4/48 - 41*b**3/12 + 311*b**2. Factor s(a).
-(a + 1)**2*(a + 41)/2
Let s(x) = x - 6*x**2 - 46 + x - x + 42. Let j(w) = w**2 + w - 1. Let n(y) = 15*j(y) + 3*s(y). Factor n(a).
-3*(a - 3)**2
Let 55*l**2 - 34 + 3*l**3 + 12*l**3 - 15*l - 3*l**4 - 16 - 2*l**4 = 0. What is l?
-2, -1, 1, 5
Let h(j) be the third derivative of j**6/1620 + j**5/45 + j**4/3 + 5*j**3/6 - 9*j**2. Let b(f) be the first derivative of h(f). Suppose b(k) = 0. What is k?
-6
Let d(m) = -3*m**5 - m. Let v(o) = 11*o**5 - 8*o**4 - 4*o**3 + 5*o. Let c(h) = -5*d(h) - v(h). Let c(p) = 0. Calculate p.
-1, 0
Suppose 5*l = -4*w + 27, 4*w + 3*l + 5 - 26 = 0. Suppose 3*r - 6 = -w*a, 3*r + 2 - 8 = 4*a. Determine n so that 0*n - 1/3*n**2 + a = 0.
0
Let k(z) be the second derivative of 5*z**9/3024 + z**8/168 - z**7/168 - z**6/36 - 29*z**3/6 - 16*z. Let w(a) be the second derivative of k(a). Factor w(g).
5*g**2*(g - 1)*(g + 1)*(g + 2)
Let o be (-2)/4*0 - (-301)/54180. Let a(g) be the third derivative of 0*g**3 + 0 - o*g**5 + 12*g**2 + 0*g + 5/72*g**4. Suppose a(w) = 0. Calculate w.
0, 5
Let r be 286/228 + (3220/168 - 20). Determine z so that -30/19*z**3 + r + 16/19*z - 22/19*z**2 = 0.
-1, -2/5, 2/3
Let r(m) be the first derivative of -m**5/60 - 5*m**4/24 - 2*m**3/3 - 8*m**2 - 26. Let z(a) be the second derivative of r(a). Factor z(d).
-(d + 1)*(d + 4)
Let v(q) be the third derivative of 7*q**2 - 1/180*q**6 + 1/315*q**7 + 0 + 0*q**3 + 0*q**5 + 0*q**4 + 0*q. Factor v(o).
2*o**3*(o - 1)/3
Let l(q) be the first derivative of 5*q**4/3 - 4*q**3/3 - 6*q**2 + 13*q + 14. Let p(v) be the first derivative of l(v). What is f in p(f) = 0?
-3/5, 1
Let n be (3 - 438/126)/(26/(-180)). Let v = n - 28/13. Let -v*i**2 + 2/7 + 6/7*i = 0. Calculate i.
-1/4, 1
Suppose 0 = 12*s - s - 33. Suppose -i - 19 = -3*v + s*i, 0 = -5*v - 3*i + 22. Factor 2/9*c**v - 2/9*c + 4/9*c**2 - 4/9*c**4 + 0 + 0*c**3.
2*c*(c - 1)**3*(c + 1)/9
Let l be -14*(1/2 - 1). Let p(y) = -4*y**2 + 29*y - 5. Let t be p(l). Factor 3/5*u**t - 6/5*u + 3/5.
3*(u - 1)**2/5
Let d(g) be the first derivative of 1/6*g**3 - 4 + 5/2*g**2 + 25/2*g. Determine o, given that d(o) = 0.
-5
Factor 11/4*m + 5/2*m**2 - 11/4*m**3 - 21/8 + 1/8*m**4.
(m - 21)*(m - 1)**2*(m + 1)/8
Factor 630 - 23*b**3 + 25*b - 2*b**2 - 304 + b**5 - 313 - 3*b**3 - 11*b**4.
(b - 13)*(b - 1)*(b + 1)**3
Solve 30 + 15*l**2 - 3*l**3 - 24*l - 54 - 42*l**2 + 24 = 0 for l.
-8, -1, 0
Let x(a) = -a**3 + 5*a**2 - 41*a + 148. Let y be x(4). Solve -7/2*z**4 + 4*z**3 + 0 + y*z - 5/2*z**5 + 2*z**2 = 0 for z.
-2, -2/5, 0, 1
Let z(j) be the first derivative of -2*j**3 - 1/2*j**4 - 2*j + 16 - 3*j**2. Solve z(x) = 0 for x.
-1
Let l be 6/11*(14 + 495/(-44)). Let b(m) be the second derivative of -13*m + 0*m**2 + 27/20*m**5 + l*m**4 + 1/2*m**3 + 0. Factor b(s).
3*s*(3*s + 1)**2
Factor -7 + 45/4*h**2 + 13/4*h**3 + 6*h.
(h + 2)**2*(13*h - 7)/4
Suppose -2*t + 6 = -2*g, -2*t + 5 = 4*g - 25. Let l = -4 + t. Let 12 - 9*a**2 - l*a**3 + 0 + 0 = 0. What is a?
-2, 1
Let h be -3 + -1 + (-10)/(-2). Let k(i) = 100*i**3 + 180*i**2 + 102*i + 10. Let t(m) = m - 1. Let z(o) = h*k(o) - 6*t(o). Factor z(l).
4*(l + 1)*(5*l + 2)**2
Let k(s) be the second derivative of -5*s + 2/9*s**3 + 0 + 2/3*s**2 + 1/36*s**4. Factor k(d).
(d + 2)**2/3
Let b be 2/(-8) - (10495/(-300) + 6). Let i = b - 85/3. Factor -i*h**4 + 2/5*h**3 + 2/5*h**2 + 0 - 2/5*h.
-2*h*(h - 1)**2*(h + 1)/5
Solve -5*v**5 + 244*v**3 + 240*v + 145*v**2 - 102*v**3 - 220 + 75*v**4 - 138*v**3 - 239*v**3 = 0 for v.
-1, 1, 2, 11
Let p be ((-4)/(-6))/(-6 - (-2712)/450). Let c(x) = x**3 - x**2 + x + 15. Let h be c(0). Let -p*g + 0*g + 12 + g - h*g**2 = 0. What is g?
-2, 2/5
Let w = -8 + 8. Suppose w*m + 30 = -5*m. Let s(x) = x**3 - 4*x**2. Let u(k) = -k**3 + 5*k**2. Let a(z) = m*u(z) - 7*s(z). Solve a(i) = 0 for i.
-2, 0
Factor -2/5*a**5 - 46/5 - 284/5*a**2 - 196/5*a**3 - 54/5*a**4 - 186/5*a.
-2*(a + 1)**4*(a + 23)/5
Let s be 2 - (6 - -2)*(2 - (-9)/(-5)). Factor -s*p + 2/5*p**2 + 0.
2*p*(p - 1)/5
Let a(c) be the first derivative of -1/20*c**5 + c**3 + 5/4*c - 17 - 7/4*c**2 - 1/8*c**4. Factor a(u).
-(u - 1)**3*(u + 5)/4
Let z(k) be the second derivative of -1/6*k**6 + 0*k**2 - 4 + 5/4*k**5 - 10/3*k**4 + 10/3*k**3 + 4*k. Factor z(s).
-5*s*(s - 2)**2*(s - 1)
Let r(x) be the third derivative of x**7/1470 - x**6/210 + x**5/105 + 101*x**2. Find p such that r(p) = 0.
0, 2
Let t(l) be the first derivative of -1 + 1/12*l**4 + 1/2*l**2 + 4/9*l**3 + 0*l. Factor t(y).
y*(y + 1)*(y + 3)/3
Suppose -24/7*l + 40/7 + 2/7*l**2 = 0. What is l?
2, 10
Let d(n) = n**3 - n**2 + 1. Suppose -2*z + s + 10 = 5*s, -4*z - 6 = -5*s. Let p(r) = -35*r**3 + 70*r**2 + 10*r + 5. Let v(b) = z*p(b) - 5*d(b). Factor v(y).
-5*y*(y - 2)*(8*y + 1)
Let w(q) = -15*q**4 + 150*q**3 - 877*q**2 + 2103*q - 1767. Let o(x) = 2*x**4 - x + 1. Let g(u) = -3*o(u) - w(u). Factor g(h).
(h - 6)**2*(3*h - 7)**2
Let j(k) = -600*k**3 + 624*k**2 + 75*k + 66. Let a(o) = -75*o**3 + 78*o**2 + 9*o + 8. Let y(n) = -33*a(n) + 4*j(n). Determine h, given that y(h) = 0.
0, 1/25, 1
Factor -28*s**4 + 39*s**2 - 4*s - 22*s**4 + 47*s**4 - 32*s.
-3*s*(s - 3)*(s - 1)*(s + 4)
Let i(l) be the third derivative of 0*l + 1/2*l**3 - 1/56*l**7 + 1/112*l**8 + 24*l**2 - 7/16*l**5 - 5/32*l**4 - 7/32*l**6 + 0. Find v such that i(v) = 0.
-1, 1/4, 4
Let r(t) be the second derivative of -14*t + 0*t**2 + 0*t**3 - 1/20*t**5 + 1/30*t**6 - 1/6*t**4 + 0. Factor r(w).
w**2*(w - 2)*(w + 1)
Let g = -239 + 241. Let o(v) be the second derivative of -1/6*v*