)**2*(d - 1)/7
Let s be (-3)/1 + -5*(0 - 1). Suppose -2/3*i**s + 2/3*i + 4/3 = 0. Calculate i.
-1, 2
Let n(m) be the first derivative of m**6/360 - m**5/30 + m**4/8 + 15*m**2/2 - 2. Let q(z) be the second derivative of n(z). Factor q(l).
l*(l - 3)**2/3
Let g = 353/12 + -29. Let r(o) be the first derivative of 1/6*o + 1/6*o**5 + g*o**2 + 4 + 5/12*o**4 + 1/36*o**6 + 5/9*o**3. Determine i so that r(i) = 0.
-1
Factor -12*n**4 - 60*n**3 - 50*n**3 + 114*n**3 - 43*n**3 - 9*n**2.
-3*n**2*(n + 3)*(4*n + 1)
Let g(h) = h**5 - 19*h**4 + 23*h**3 - 5*h**2 - 5*h. Let f(q) = q**5 - 9*q**4 + 11*q**3 - 3*q**2 - 3*q. Let y(c) = -5*f(c) + 3*g(c). Factor y(n).
-2*n**3*(n - 1)*(n + 7)
Let a = -11042 - -99382/9. Factor -8/9*w - a - 4/9*w**2.
-4*(w + 1)**2/9
Let u = -11882/21 + 3998/7. Let -u*c**2 - 16/3*c**3 + 0*c - 4/3*c**4 + 0 = 0. Calculate c.
-2, 0
Let q(u) = 16*u**2 - 38*u + 36. Let y(l) = l**2 - 2*l + 2. Let x(o) = -2*q(o) + 36*y(o). Factor x(t).
4*t*(t + 1)
Let l(s) be the second derivative of -1/190*s**5 - 5/114*s**4 + 13*s - 4/19*s**2 + 0 - 8/57*s**3. Let l(d) = 0. What is d?
-2, -1
Let n = -255 - -255. Let w(j) be the third derivative of -1/40*j**6 + 1/35*j**7 + 0*j**4 + 0*j + n*j**3 + 0 - 1/20*j**5 - 4*j**2. Factor w(p).
3*p**2*(p - 1)*(2*p + 1)
Let 1/10*i + 3/2*i**2 - 3/2 - 1/10*i**3 = 0. What is i?
-1, 1, 15
Let j = -23 - -38. Let 27 - 50*x**3 - j*x**2 - 5*x + 47*x**3 - 8*x + 4*x = 0. Calculate x.
-3, 1
Let l = 22274 + -22271. Factor 0*t + 0 - 2/5*t**4 - 2/5*t**5 + 0*t**2 + 0*t**l.
-2*t**4*(t + 1)/5
Suppose -5*i + 5*d + 255 = 0, 4*d - 2*d + 10 = 0. Factor 3*q**2 + i*q - 15*q**2 + 10 + 8*q**3 + 0*q**4 + 2*q**4 - 54*q.
2*(q - 1)**2*(q + 1)*(q + 5)
Suppose w - 87 = -4*u + 200, -5*u + 2*w + 362 = 0. Find l, given that -14*l**2 + u*l**3 - 147*l**3 - 12*l + 73*l**3 = 0.
-6, -1, 0
Let 12*n**3 + 50 + 1288*n**2 + 255*n + 1445*n + 374 = 0. What is n?
-106, -1, -1/3
Suppose 3*j + 6 = 4*w, -108*w + 107*w + 2*j - 1 = 0. Solve 0*s - 2/11*s**w + 0 - 8/11*s**2 = 0 for s.
-4, 0
Let a = 3812/9 - 1270/3. Factor 4/3*d + a*d**2 + 2.
2*(d + 3)**2/9
Let t(c) = 7*c**3 + 90*c**2 - 127*c - 226. Let z(q) = 2*q**3 + 30*q**2 - 42*q - 76. Let p(h) = 3*t(h) - 8*z(h). Factor p(w).
5*(w - 2)*(w + 1)*(w + 7)
Let h(q) be the second derivative of 3*q**5/80 + 67*q**4/16 - 35*q**3/4 - 51*q**2 - 5*q - 15. Factor h(z).
3*(z - 2)*(z + 1)*(z + 68)/4
Let m(x) = -2*x**3 + 13*x + 12. Let r be m(-2). Solve 2/3*t**3 - 2/3*t - 4/3 + 4/3*t**r = 0.
-2, -1, 1
Find b, given that 10/9*b - 2/9*b**3 + 4/9*b**2 - 4/3 = 0.
-2, 1, 3
Let f(n) be the second derivative of 4*n**7/105 - 13*n**6/75 + 3*n**5/50 - 6*n - 8. Suppose f(b) = 0. What is b?
0, 1/4, 3
Let x(b) be the third derivative of -b**8/6720 - b**7/2520 + 11*b**4/24 + 6*b**2. Let c(z) be the second derivative of x(z). Solve c(q) = 0.
-1, 0
Let f(h) be the second derivative of -h**4/30 + 26*h**3/15 - 121*h. Find n, given that f(n) = 0.
0, 26
Let o = -49/230 + 36/115. Factor o*c**2 - 3/10*c + 0.
c*(c - 3)/10
Let t(a) be the second derivative of 0 + 0*a**2 + 2*a - 1/2*a**4 - 1/20*a**5 - 3/2*a**3. Factor t(p).
-p*(p + 3)**2
Let n(q) be the second derivative of -q**5/40 - q**4/4 + 2*q + 50. Find v, given that n(v) = 0.
-6, 0
Suppose 1/6*l**2 + 7/3*l + 13/6 = 0. What is l?
-13, -1
Let r(m) = m**2. Let d(h) = 3*h**4 - 78*h**3 - 79*h**2. Let u(i) = d(i) - 2*r(i). Factor u(l).
3*l**2*(l - 27)*(l + 1)
Let q be -5*3/(-15)*15101. Let -9913*k**4 - q*k**4 + 159014*k**5 + 2826*k**4 - 16*k**2 + 1032*k**3 = 0. What is k?
0, 2/43
Let -12/5 - 43/5*t - 38/5*t**2 - 7/5*t**3 = 0. What is t?
-4, -1, -3/7
Suppose -35*b**3 + 713695 + 10*b - 713695 - 25*b**2 = 0. Calculate b.
-1, 0, 2/7
Let p(m) be the first derivative of -m**8/560 - m**7/140 - m**6/120 - 8*m**3/3 + m - 27. Let h(g) be the third derivative of p(g). Solve h(d) = 0 for d.
-1, 0
Let z(q) be the first derivative of -8*q**5/5 + 63*q**4 - 124*q**3/3 + 644. Suppose z(s) = 0. Calculate s.
0, 1/2, 31
Let s(q) = -2*q**2 + 17*q - 2. Let d be s(7). What is b in -d*b**2 + 24*b**2 + 17*b**3 - 2*b**3 + 15*b**4 + 5*b**5 = 0?
-1, 0
Suppose 8*f - 3*f - 1425 = 0. Let i be f/(-38)*1/(-10). Solve i*k**4 + 3*k**3 + 15/4*k**2 + 3/2*k + 0 = 0 for k.
-2, -1, 0
Let a be (3/(-6) - 15/(-18))*(-170)/(-119). Factor -2/21*r**3 - 8/21*r + 0 + a*r**2.
-2*r*(r - 4)*(r - 1)/21
Let s(z) = 14*z**2 - 842*z. Let d(g) = 34*g**2 - 2104*g. Let v(l) = 5*d(l) - 12*s(l). Factor v(w).
2*w*(w - 208)
Let k = -530/39 + 298/13. Solve k*g - 1/3*g**2 - 196/3 = 0.
14
Suppose 4*d - 14 - 2 = y, -2*d = -4*y - 22. Solve 5*u**d + 70*u**2 - 16*u + 40 + 5*u**5 - 20*u**4 - 88*u + 4*u = 0.
-2, 1, 2
Suppose 3*m = -3*m + 12. Let j be (m/6)/(3/27). Factor 1/2*n**j + 0 + 0*n + n**2.
n**2*(n + 2)/2
Let x(s) = -177*s - 4423. Let j be x(-25). Factor -6 + 20*h - 27/2*h**j + 5/2*h**3.
(h - 3)*(h - 2)*(5*h - 2)/2
Suppose -3*o + 2*a + 14 = 2*o, -5*o = a - 8. Let t(w) be the second derivative of 1/3*w**o - 1/18*w**4 + 1/30*w**5 + 0 - 1/9*w**3 + 4*w. Factor t(r).
2*(r - 1)**2*(r + 1)/3
Let j be 4*(-5)/45 + (-21)/(-27). Determine n, given that 7/2*n**2 + 13/6*n + j = 0.
-1/3, -2/7
Suppose -5*p + 1950*p**2 - 6 - 3 - 1925*p**2 + 3 = 0. What is p?
-2/5, 3/5
Let u be 0*(471/(-36) - -13). Factor -4/9*c**2 + 0*c + u - 2/9*c**3.
-2*c**2*(c + 2)/9
Let y(d) be the first derivative of 13 + 1/3*d**3 - 1/2*d**2 - 2*d. Solve y(s) = 0.
-1, 2
Let q(f) = -3*f**2 - 201*f - 196. Let j be q(-66). Solve -4/5*o**j - 13/5*o - 3/5 = 0.
-3, -1/4
Let w be ((-16)/1200*5)/(2/(-25)). Let m(p) be the first derivative of -25/9*p**3 + w*p**2 + 0*p - p**5 + 9 + 35/12*p**4. Factor m(a).
-5*a*(a - 1)**2*(3*a - 1)/3
Let m(o) be the first derivative of 14*o**3/27 + 22*o**2 + 112*o/9 - 4. What is f in m(f) = 0?
-28, -2/7
Let -1/2*v**2 + 0 + 0*v - 1/4*v**3 = 0. Calculate v.
-2, 0
Let y(p) = -2*p**3 + 50*p**2 - 82*p - 2. Let f(v) = -v**3 - v**2 + v + 1. Let u(x) = -2*f(x) - y(x). Factor u(g).
4*g*(g - 10)*(g - 2)
Let s(y) be the first derivative of -y**4/20 - y**3/15 + 2*y**2/5 + 4*y/5 - 34. Factor s(f).
-(f - 2)*(f + 1)*(f + 2)/5
Suppose 0*j = -3*u - j - 14, -4*u + 2*j = 32. Let a be 1 + 8/u + 1. Determine b so that -1/3*b**2 - a - b = 0.
-2, -1
Let s be (8/(-3))/((-5170)/645 - -8). Let h = s - 170. Factor -1/3*l + 1/3*l**3 + 1/6*l**4 + 0*l**h - 1/6.
(l - 1)*(l + 1)**3/6
Let s = 26 + -19. Let w(x) be the third derivative of 0*x**3 + 0*x**4 - s*x**2 + 0 - 1/180*x**6 + 0*x**5 + 0*x. Factor w(z).
-2*z**3/3
Let j be ((0 - -7)/(-7))/(4/(-20)). Solve 3/5*q**2 - 3/5*q**4 + 9/5*q**3 - 9/5*q**j + 0 + 0*q = 0.
-1, -1/3, 0, 1
Let h(b) be the first derivative of -b**4/22 + 16*b**3/33 + 9*b**2/11 - 46. Suppose h(k) = 0. Calculate k.
-1, 0, 9
Let p(s) be the second derivative of -7*s**5/4 + 5*s**4 - 5*s**3/2 - 5*s**2 + 2*s + 28. Factor p(g).
-5*(g - 1)**2*(7*g + 2)
Let v(a) be the first derivative of a**3/5 - 9*a**2/10 - 6*a - 28. Find k, given that v(k) = 0.
-2, 5
Let o(p) = -513*p**3 - 369*p**2 + 243*p - 66. Let w(j) = -32*j**3 - 23*j**2 + 15*j - 4. Let b(x) = 2*o(x) - 33*w(x). Factor b(y).
3*y*(y + 1)*(10*y - 3)
Let o be 24/10 + (-4)/10. Let d(a) = -a**3 - 17*a**2 - 23*a - 7. Let k(z) = 4*z**3 + 86*z**2 + 116*z + 34. Let n(c) = o*k(c) + 11*d(c). Factor n(g).
-3*(g + 1)**2*(g + 3)
Let s be (-2 + -2 - 4)*(-37)/4. Let r = 76 - s. Factor 1/4*c**r + 0 - 1/4*c.
c*(c - 1)/4
Let v(h) be the first derivative of 1/12*h**3 - 19 - 1/16*h**4 + 1/8*h**2 - 1/4*h. What is w in v(w) = 0?
-1, 1
Let k(u) = -4*u + 11. Let h be k(2). Factor 15*a**h + 18*a**3 - 27*a**2 - 4*a - a - a.
3*a*(a - 1)*(11*a + 2)
Suppose -7*c = 32 + 10. Let w(z) = -3*z**3 - 10*z**2 + 14*z - 11. Let x(h) = 2*h**3 + 2*h**3 - 14*h + 10*h**2 + 1 + 11. Let p(n) = c*w(n) - 5*x(n). Factor p(v).
-2*(v - 3)*(v - 1)**2
Let r(s) = -39*s**3 + s. Let v be r(-1). Suppose -6 = 4*h - v. Factor -2 + 2 - 3*o**2 + h*o - 2*o - 3*o**3.
-3*o*(o - 1)*(o + 2)
Solve -2/3*k**2 + 20/3 + 2*k = 0 for k.
-2, 5
Suppose -15*u = 51 - 141. Let q(t) be the second derivative of 0*t**3 + 1/5*t**u + 0*t**2 + 0 + 9*t + 4/21*t**7 + 0*t**4 - 1/10*t**5. Factor q(g).
2*g**3*(g + 1)*(4*g - 1)
Suppose 1/8*j - 1/8*j**4 + 1/8*j**5 - 1/8 - 1/4*j**3 + 1/4*j**2 = 0. Calculate j.
-1, 1
Let y(h) be the first derivative of 6 + 0*h**2 + 1/18*h**3 + 0*h. Factor y(j).
j**2/6
Let l be 12/(-18)*(9 - 0). Let t(s) = -2*s + 2. Let u 