+ 116 = 0. Let o = 239/7 + s. Factor o*i**2 - 1/7*i + 0.
i*(i - 1)/7
Let k(q) be the second derivative of q**4/8 - 35*q**3/4 - 14*q. Let k(r) = 0. What is r?
0, 35
Suppose -316*j - 277*j = -618*j + 100. Suppose -32/3*d**2 + 28/3*d**3 - 4*d**j - 4/3 + 6*d + 2/3*d**5 = 0. What is d?
1, 2
Solve -10/9*o + 2/3 + 2/9*o**2 + 2/9*o**3 = 0.
-3, 1
Let x(h) = 5*h**2 - 9*h + 4. Let n(o) = 11*o**2 - 18*o + 7. Let w = 20 + -22. Let a(z) = w*n(z) + 5*x(z). Factor a(m).
3*(m - 2)*(m - 1)
Let -12/5*n + 2/5*n**2 + 2 = 0. Calculate n.
1, 5
Let x be (5 + 387/(-72))/((-3)/36). Let i(r) be the first derivative of -2 - 12/5*r**5 + 33/8*r**2 - 9/2*r**4 - 3/8*r**6 + x*r - 3/2*r**3. Solve i(l) = 0 for l.
-3, -1, 2/3
Let b be (-5)/(-25) - 46/(-90). Let l = b - 2/45. Suppose 2/3*t - l*t**3 - 2/3*t**2 + 0 + 2/3*t**4 = 0. What is t?
-1, 0, 1
Factor -2/5*t**2 + 64/5 - 62/5*t.
-2*(t - 1)*(t + 32)/5
Let g be (-40)/45 - 5/(30/(-8)). Suppose 3*m - 5*m = -4. What is f in -2/9*f**5 - 2/9*f - 2/9*f**4 + g*f**m + 4/9*f**3 - 2/9 = 0?
-1, 1
Let c(v) be the second derivative of -v**4/48 + 2*v**3/3 - 8*v**2 - 294*v. Suppose c(m) = 0. What is m?
8
Factor 35*h + 0 + 115/4*h**2 + 5*h**3.
5*h*(h + 4)*(4*h + 7)/4
Let i(v) = 4*v**2 + 20*v + 3. Let r be i(-6). Let w be r/18 + (-2 - -2). Let -1 - 1/2*q**2 + w*q = 0. What is q?
1, 2
Let d = 152 - 386. Let s = -1166/5 - d. Let -2/5*k**3 + s + 2/5*k - 2*k**2 + 6/5*k**4 = 0. What is k?
-1, -2/3, 1
Let b be ((-1)/(-2))/((-15)/(-90)). Factor -6 + 19*j - 32/3*j**2 + 5/3*j**b.
(j - 3)**2*(5*j - 2)/3
Let z be (7 + -3)/(4/2). Suppose b = 4*r - 2, 2*b - 5*r = -r. Let t(n) = n**3 - n - 1. Let q(o) = o**2 + o + 1. Let x(a) = b*q(a) + z*t(a). Factor x(l).
2*l**2*(l + 1)
Let c(k) be the second derivative of -k**4/21 + 18*k**2/7 + 555*k. Factor c(w).
-4*(w - 3)*(w + 3)/7
Let s(m) be the third derivative of -m**7/11340 - m**6/1080 - m**5/270 + 7*m**4/24 + 10*m**2. Let i(f) be the second derivative of s(f). Factor i(h).
-2*(h + 1)*(h + 2)/9
Let r be 828/(-27)*(-3)/4. Suppose 28*o - 20 = r*o. Determine b, given that -12/5*b**o + 24/5*b - 2/5*b**5 - 4/5*b**2 - 22/5*b**3 + 16/5 = 0.
-2, -1, 1
Factor 2/3*t**2 - 32/3*t + 10.
2*(t - 15)*(t - 1)/3
Let j(d) be the second derivative of d**7/735 - d**6/210 + d**4/42 - d**3/21 - 25*d**2/2 - 19*d. Let m(n) be the first derivative of j(n). Factor m(f).
2*(f - 1)**3*(f + 1)/7
Let z be (-32)/(-40)*45/18. Let w(t) be the first derivative of 1/12*t**3 + 0*t - 1/2*t**z - 2. Suppose w(o) = 0. What is o?
0, 4
Let k(t) be the second derivative of -11/10*t**6 - 1/2*t**3 + 0*t**2 - 4*t + 2/7*t**7 + 0 + 27/20*t**5 - 1/4*t**4. Suppose k(u) = 0. Calculate u.
-1/4, 0, 1
Let d(r) be the third derivative of 0*r**4 - 1/60*r**6 + 0 - 19*r**2 + 2/105*r**7 + 1/168*r**8 + 0*r**3 + 0*r - 1/15*r**5. Factor d(i).
2*i**2*(i - 1)*(i + 1)*(i + 2)
Let m = -27 + 23. Let q(f) = f**4 + 10*f**3 + 9*f**2 - 56*f + 40. Let r(s) = s**2 - s - 1. Let z(i) = m*r(i) - q(i). Find g, given that z(g) = 0.
-6, 1
Let s = -16 - -19. Factor -27*n + 27*n**2 + s*n - 31*n**2 + 8 - 28.
-4*(n + 1)*(n + 5)
Determine j, given that 0*j + 0 - 1/2*j**4 - 5/2*j**3 + 0*j**2 = 0.
-5, 0
Let w(j) be the first derivative of -5*j + 1/18*j**3 + 0*j**4 + 0*j**2 - 8 - 1/60*j**5. Let l(r) be the first derivative of w(r). Factor l(c).
-c*(c - 1)*(c + 1)/3
Suppose 385*q + 20 = 392*q - 3*u, -q = u. Factor -3/4*z**3 + 0 + 1/4*z**q + 1/2*z.
-z*(z - 1)*(3*z + 2)/4
Let y(g) be the first derivative of -2*g**7/105 + g**6/30 + 2*g**5/15 - 6*g**2 + 4. Let f(z) be the second derivative of y(z). Solve f(b) = 0 for b.
-1, 0, 2
Let u(a) be the third derivative of -a**5/540 + 13*a**4/12 - 507*a**3/2 + 3*a**2 + 2. Let u(t) = 0. What is t?
117
Let x(k) be the third derivative of -k**7/1820 - k**6/585 + k**5/780 - 11*k**4/12 - 4*k**2. Let v(q) be the second derivative of x(q). Factor v(u).
-2*(u + 1)*(9*u - 1)/13
Let o(y) be the second derivative of y**4/54 - y**3/3 - 10*y**2/9 + 6*y - 7. Factor o(j).
2*(j - 10)*(j + 1)/9
Find u, given that 112*u**3 + 3*u**5 - 988*u**2 + 48*u**4 + u**5 + 1012*u**2 - 72 - 116*u = 0.
-9, -2, -1, 1
Factor -76/5*l**2 + 24/5*l + 12/5*l**3 + 0.
4*l*(l - 6)*(3*l - 1)/5
Let m(b) be the third derivative of b**6/72 - b**5/8 + 5*b**4/12 + 17*b**3/6 + 28*b**2. Let z(x) be the first derivative of m(x). Find s such that z(s) = 0.
1, 2
Let t be 325/50 + (-3)/(-2). Let r be (4/t)/(12/128). Determine x so that -32/9 - 2/9*x**4 - r*x - 2/9*x**2 + 4/3*x**3 = 0.
-1, 4
Let l(w) = -3*w**3 - w - 2. Let d be l(-1). Factor 5*i**3 + 5*i**d + 4*i - 4 - 12*i + 3*i - 1.
5*(i - 1)*(i + 1)**2
Let s(d) be the second derivative of d - 1/20*d**6 + 0*d**3 - 3/40*d**5 + 0*d**2 + 0 + 1/4*d**4. Let s(f) = 0. Calculate f.
-2, 0, 1
Suppose 4*v - 43 + 31 = 0. Let s(z) be the third derivative of -4*z**2 + 1/18*z**v + 1/36*z**4 + 0 + 1/180*z**5 + 0*z. Factor s(j).
(j + 1)**2/3
Let m(p) be the first derivative of -1/6*p**3 + 1/4*p**2 + p + 9. Factor m(r).
-(r - 2)*(r + 1)/2
Let d(r) = -r + 19. Let u be d(16). Factor c**3 + 3*c**3 - c**3 + c**u.
4*c**3
Let d(y) be the third derivative of 0*y - 1/90*y**5 + 0 + 5*y**2 + 1/360*y**6 + 1/3*y**3 - 5/72*y**4. Factor d(v).
(v - 3)*(v - 1)*(v + 2)/3
Factor 6 + 1/12*b**2 - 73/12*b.
(b - 72)*(b - 1)/12
Let w = -41 - -44. Factor w*h + 9*h + 2*h + 0 + 12 + 2*h**2.
2*(h + 1)*(h + 6)
Let k = -703/1062 - -183/118. Factor -2/9*c**2 - 8/9 - k*c.
-2*(c + 2)**2/9
What is h in 0*h**2 + 74*h**3 - 21*h**2 - 9*h - 3*h**4 - 89*h**3 = 0?
-3, -1, 0
Let l(n) = n**2 + 1. Let z be 0 + (4 - (-1 + 41)). Let u be (-21)/(-18) - (-6)/z. Let f(p) = p**4 + 2*p**3 - 1. Let w(o) = u*f(o) + l(o). Factor w(s).
s**2*(s + 1)**2
Let p(k) be the first derivative of k**5/40 + 3*k**4/32 - 883. Find f such that p(f) = 0.
-3, 0
Let a be 40/22 + 22/121 + 2. Suppose 3*b - 10 = x, -a*x + 6 = x - b. Factor 1/7*q**x - 1/7*q + 0.
q*(q - 1)/7
Suppose -96 + 3/2*p**5 + 264*p - 435/2*p**2 + 39/2*p**4 + 57/2*p**3 = 0. What is p?
-8, 1
Let b(t) = -2*t + 31. Let z be b(14). Suppose 8*g = -z*g + 33. Suppose -200*n**4 + 0 + 750/7*n**5 + 32/7*n + 960/7*n**g - 288/7*n**2 = 0. What is n?
0, 2/5, 2/3
Let s(t) = t**4 + 26*t**3 + 39*t**2 - 1765*t + 4624. Let z(g) = -2*g**4 - 52*g**3 - 80*g**2 + 3529*g - 9248. Let m(c) = 14*s(c) + 6*z(c). Factor m(p).
2*(p - 4)**2*(p + 17)**2
Factor 0*m**4 + 2/7*m + 0*m**2 + 2/7*m**5 + 0 - 4/7*m**3.
2*m*(m - 1)**2*(m + 1)**2/7
Let c(r) be the first derivative of 0*r + 2/65*r**5 - 8/39*r**3 + 0*r**2 + 2 + 0*r**4. Suppose c(t) = 0. What is t?
-2, 0, 2
Let u(h) be the third derivative of h**7/35 + 7*h**6/180 - 11*h**5/90 - 7*h**4/36 + 2*h**3/9 + 135*h**2 + 1. What is q in u(q) = 0?
-1, 2/9, 1
Let z = -37 + 39. Suppose -5*j + 10 = -0. Determine t, given that 3*t - 12*t - t**2 - j*t**z = 0.
-3, 0
Solve r + 4027*r**2 - 4032*r**2 - 3*r**4 - r**3 + 2*r**3 + 6*r**3 = 0.
0, 1/3, 1
Suppose -2/3*l**5 + 8*l + 4/3*l**2 - 22/3*l**3 + 4*l**4 - 16/3 = 0. What is l?
-1, 1, 2
Let t(l) = -35*l**4 + 2750*l**3 - 55980*l**2 + 53160*l. Let q(z) = -5*z**4 + 393*z**3 - 7997*z**2 + 7595*z. Let a(b) = 15*q(b) - 2*t(b). Factor a(h).
-5*h*(h - 39)**2*(h - 1)
Let l(u) be the first derivative of -u**4/78 + 20*u**3/39 - 100*u**2/13 + 19*u + 22. Let h(n) be the first derivative of l(n). Factor h(z).
-2*(z - 10)**2/13
Let h(w) be the second derivative of w**4/2 + 7*w**3/6 + w**2 - 156*w. Factor h(a).
(2*a + 1)*(3*a + 2)
Suppose f = 4*k - 158, 0 = 5*k - 3*k - 4*f - 72. Suppose 405*p**4 + 492*p + 94*p + 1080*p**3 + k + 1080*p**2 - 106*p + 40 = 0. What is p?
-2/3
Let k(g) be the third derivative of g**6/120 + 13*g**5/60 + 5*g**4/3 + 6*g**3 - 203*g**2 - 3. Suppose k(r) = 0. What is r?
-9, -2
Suppose -4*n = -38 + 38. Let g(m) be the third derivative of -1/42*m**4 + 0 - 1/210*m**5 + n*m + 0*m**3 + 4*m**2. Let g(w) = 0. What is w?
-2, 0
Factor 16/5*r**2 - 4/5*r**3 - 12/5*r + 0.
-4*r*(r - 3)*(r - 1)/5
Suppose 7*c = -0*c + 35. Let j(f) = f**4 - 3*f**2. Let i(z) = -z**3 - z**2 + z. Let d(p) = c*j(p) - 10*i(p). Factor d(l).
5*l*(l - 1)*(l + 1)*(l + 2)
Let h(a) be the second derivative of -a**7/20160 - a**6/1440 + a**5/192 + a**4/2 - 16*a. Let d(m) be the third derivative of h(m). Factor d(g).
-(g - 1)*(g + 5)/8
Let h(c) be the second derivative of c**7/315 - c**6/45 - 7*c**5/50 - 23*c**4/90 - 8*c**3/45 - 553*c. Factor h(b).
2*b*(b - 8)*(b + 1)**3