8675*n**3 + 2*n**2 - 2*n**4 - 8681*n**3 = 0.
-1, 0, 1/4
Suppose -6627/7 + 3/7*s**3 + 987*s - 285/7*s**2 = 0. What is s?
1, 47
Let u = -156/41 - -435/82. Factor -3 - u*w**2 + 9/2*w.
-3*(w - 2)*(w - 1)/2
Let x(k) = -17*k - 150. Let y be x(-9). Solve 10/11*z - 10/11*z**y - 4/11 + 18/11*z**2 - 14/11*z**4 = 0 for z.
-1, 2/7, 1
Let l be 5/25 - (-243)/(-15). Let g be -4*(28/l - -1). Solve 0 + 0*d**2 - 2/3*d**g + 2/3*d = 0 for d.
-1, 0, 1
Let n(g) be the second derivative of g**5/50 + g**4/10 - g**3/15 - 3*g**2/5 - 2*g + 9. Factor n(u).
2*(u - 1)*(u + 1)*(u + 3)/5
Find v, given that -84*v + 10 + 195 + 5*v - 35 - 16*v + 5*v**2 = 0.
2, 17
Let k be -15 - ((-3)/(-6)*0)/2. Let x be -3*(-5 + (-74)/k). Let -x*o - 1/10*o**2 - 1/10 = 0. What is o?
-1
Let x be 14*-1 - 42432/(-2992). Factor 0 + 0*k**2 + 2/11*k**3 - x*k.
2*k*(k - 1)*(k + 1)/11
Let m(n) be the third derivative of 3/2*n**3 + 0*n - 6*n**2 + 0 - 1/4*n**4 - 1/20*n**5. Determine h so that m(h) = 0.
-3, 1
Find r such that 0 - 12/5*r**2 + 0*r + 2/5*r**4 + 2/5*r**3 = 0.
-3, 0, 2
Let t(s) be the second derivative of 3*s**5/100 - 61*s**4/30 + 128*s**3/3 - 80*s**2 + 417*s. Factor t(n).
(n - 20)**2*(3*n - 2)/5
Let h(x) be the third derivative of x**5/150 + 7*x**4/60 + 4*x**3/5 + 83*x**2. Factor h(o).
2*(o + 3)*(o + 4)/5
Let r = 50 - 53. Let b be 0*(r/(-6) + 0). Factor -2/9*j**2 + b + 2/9*j.
-2*j*(j - 1)/9
Let w(i) be the third derivative of -i**5/5 + 19*i**4/6 - 4*i**3 + 12*i**2. Solve w(g) = 0.
1/3, 6
Let v(s) be the second derivative of -6*s + 0 - 3*s**3 + 81/7*s**2 - 17/42*s**4 - 1/70*s**5. Factor v(t).
-2*(t - 1)*(t + 9)**2/7
Suppose -5*k - 3*x = -18, -25*x + 27*x = -2*k + 8. Factor 3/4*i**2 + 1/4*i**4 + 0 + 0*i + i**k.
i**2*(i + 1)*(i + 3)/4
Let z(m) be the third derivative of m**8/15120 - m**7/945 + m**6/180 + m**5/10 + 4*m**2. Let q(b) be the third derivative of z(b). Determine s so that q(s) = 0.
1, 3
Let h(u) be the second derivative of 0*u**2 - 1/54*u**4 + 2/27*u**3 + 1/189*u**7 + 3*u + 0 - 1/30*u**5 + 1/135*u**6. Solve h(s) = 0.
-2, -1, 0, 1
Let h = 197/3 + -59. Factor 0 - h*q**2 - 50/3*q - 2/3*q**3.
-2*q*(q + 5)**2/3
Suppose -5*z + 25*c - 24*c + 15 = 0, 2*z = c + 6. Factor 12/13 + 16/13*f**2 - 2*f - 2/13*f**z.
-2*(f - 6)*(f - 1)**2/13
Suppose 0 = -17*i + 19*i - 10. Factor 42 - i - 7 + 25*x + 5*x**2.
5*(x + 2)*(x + 3)
Let z(q) be the first derivative of 2*q + 16 + 10/9*q**2 + 2/27*q**3. Solve z(n) = 0 for n.
-9, -1
Let t(y) be the first derivative of -y**7/21 + 2*y**6/15 - y**5/10 + 55*y - 20. Let z(c) be the first derivative of t(c). Suppose z(u) = 0. Calculate u.
0, 1
Let o(y) be the third derivative of 5*y**8/336 + 2*y**7/21 + y**6/12 - y**5/3 - 5*y**4/8 - 11*y**2. Factor o(p).
5*p*(p - 1)*(p + 1)**2*(p + 3)
Let u(w) be the second derivative of w**4/4 - 6*w**3 - 152*w. Solve u(j) = 0 for j.
0, 12
Let y = -195 + 248. Let b = y - 263/5. Factor 0 + b*z**2 - 2/5*z.
2*z*(z - 1)/5
Let m(l) = -l**2 + 17*l - 26. Let y(q) = -q**2 + 17*q - 24. Let o(s) = 4*m(s) - 5*y(s). Factor o(g).
(g - 16)*(g - 1)
Let r(v) be the third derivative of -v**7/735 - v**6/84 - v**5/70 + 5*v**4/84 + 4*v**3/21 - 11*v**2 - 4. Let r(y) = 0. What is y?
-4, -1, 1
Factor -o**5 + 608*o**4 - 2972*o**3 - 3*o**5 + 530604*o + 449602*o**2 - 27628*o**3 + 49790*o**2.
-4*o*(o - 51)**3*(o + 1)
Let v = 27 + -24. Let z(t) = -2*t**3 + 2*t**2 + 2 - 4*t**3 + 3*t**3 + t**v - 2*t**5 - 6*t**4. Let u(k) = k**4 - k**2 - 1. Let q(j) = 2*u(j) + z(j). Factor q(s).
-2*s**3*(s + 1)**2
Let o = 10315 + -10312. Determine p, given that -835/3*p**2 - 50/3*p + 35*p**o + 80/3 = 0.
-1/3, 2/7, 8
Let d(v) be the third derivative of 2*v**8/189 - 248*v**7/945 + 553*v**6/540 - 439*v**5/270 + 131*v**4/108 - 13*v**3/27 + 94*v**2. Find h, given that d(h) = 0.
1/4, 1, 13
Let a be 6*(3 + (-10)/4). Solve -5*i**5 + 0*i**5 - 3*i**4 - 2*i**4 - 3 - 2 + 10*i**a - 5*i + 10*i**2 = 0 for i.
-1, 1
Let l(d) be the first derivative of 1/6*d**3 + 3*d - 1/3*d**4 + d**2 + 3 - 3/20*d**5. Let w(v) be the first derivative of l(v). Factor w(b).
-(b + 1)**2*(3*b - 2)
Let m(v) be the third derivative of v**7/168 - 3*v**6/32 - v**5/48 + 15*v**4/32 - 7*v**2 + 8. Factor m(r).
5*r*(r - 9)*(r - 1)*(r + 1)/4
Let u(o) = 33*o**2 + 25*o**2 - 57*o**2. Let r(s) = -5*s**3 + 35*s**2 - 5*s - 30. Let q(t) = -r(t) + 15*u(t). Factor q(i).
5*(i - 3)*(i - 2)*(i + 1)
Let w(c) be the third derivative of 23*c**6/120 + 67*c**5/60 + 5*c**4/3 - 2*c**3/3 - 3*c**2. Find a, given that w(a) = 0.
-2, -1, 2/23
Let x(o) be the third derivative of 0*o + 0*o**4 + 0 + 1/12*o**5 + 0*o**3 - 31*o**2 + 1/24*o**6. Factor x(a).
5*a**2*(a + 1)
Let x(u) = 8*u**2 + 7*u. Let d = -43 + -8. Let o(j) = j**2 + j. Let p(a) = d*o(a) + 6*x(a). Factor p(g).
-3*g*(g + 3)
Find b such that -7/4*b + 0 + 1/4*b**2 = 0.
0, 7
Suppose -137*l = -176*l. Let f(w) be the third derivative of w**2 + 0 + 0*w**3 + l*w**5 + 0*w**7 + 0*w + 0*w**4 - 3/560*w**8 + 1/150*w**6. Solve f(n) = 0.
-2/3, 0, 2/3
Let q(z) be the second derivative of -z**7/14 - z**6/10 + 3*z**5/4 - 3*z**4/4 - 212*z. Find y, given that q(y) = 0.
-3, 0, 1
Let d = -4761 + 61895/13. Factor -6/13*n**2 - d + 8/13*n.
-2*(n - 1)*(3*n - 1)/13
Let a(s) be the first derivative of s**5 + 10*s**4 + 20*s**3 + 43. Factor a(y).
5*y**2*(y + 2)*(y + 6)
Let b(g) be the second derivative of -g**6/165 - 9*g**5/110 - 4*g**4/11 - 16*g**3/33 + 48*g. Suppose b(k) = 0. Calculate k.
-4, -1, 0
Let q(n) be the second derivative of 4*n**7/21 - 2*n**6/5 - 17*n**5/5 - 13*n**4/3 + 2*n**3 + 8*n**2 + 2*n - 9. Factor q(f).
4*(f - 4)*(f + 1)**3*(2*f - 1)
Let x(g) be the third derivative of g**8/26880 + g**7/3360 + g**6/960 + g**5/480 + 7*g**4/12 + 8*g**2. Let v(t) be the second derivative of x(t). Factor v(a).
(a + 1)**3/4
Let z = -134 - -137. Solve z*b**2 + 22*b + 2*b - 66*b + 24*b = 0 for b.
0, 6
Let d be (1/7)/(14 + 265/(-20)). Let h(c) be the first derivative of 0*c**4 - d*c**3 + 2/35*c**5 - 6 + 0*c**2 + 2/7*c. Find q, given that h(q) = 0.
-1, 1
Let d be ((-1)/((-7)/2))/(((-3402)/(-168))/81). Suppose -18*m**4 - 24/7*m + 134/7*m**2 - d - 56*m**5 + 416/7*m**3 = 0. What is m?
-1, -2/7, 1/4, 1
Let f = -9 + 9. Suppose 3*m = 3*s - 2*m - 17, f = -4*s - 5*m + 11. Find i such that 3 - i - 3*i**s - 28*i**3 + 34*i**3 - 5*i = 0.
-1, 1
Let p(z) = 3*z. Let m be p(1). Suppose m*f - 9 + 0 = 0. Let -3*b**4 + 6*b + 3 - b**3 - 6*b**3 + b**f = 0. What is b?
-1, 1
Suppose -1558*r + 43*r**3 - 35 + 30*r**2 + 1518*r + 5*r**4 - 3*r**3 = 0. Calculate r.
-7, -1, 1
Let p be -1 - (-152)/57 - 2/((-12)/2). What is o in -2/9*o**3 - 32/9*o - 16/9*o**p + 0 = 0?
-4, 0
Let s be 29/3 + (13 - 21). Factor -s*j**2 + 4*j - 4/3.
-(j - 2)*(5*j - 2)/3
Let q(p) = 7*p**3 + 2618*p**2 + 113527*p. Let b(s) = -2*s**3 - 873*s**2 - 37842*s. Let y(x) = -8*b(x) - 3*q(x). Find c, given that y(c) = 0.
-87, 0
Let c be 12 + (-30)/6 - (3 + 0). What is b in -64/11*b**2 + 0 - 30/11*b**3 - 24/11*b + 18/11*b**c = 0?
-2/3, 0, 3
Let r(w) = 2*w**2 + w - 1. Let q(u) = -8*u**4 - 12*u**3 + 128*u**2 - 94*u - 82. Let t(k) = -q(k) + 2*r(k). Factor t(b).
4*(b - 2)**2*(b + 5)*(2*b + 1)
Let a(q) be the third derivative of 2*q**2 + 0 - 1/252*q**8 + 0*q + 1/45*q**5 - 2/315*q**7 + 0*q**4 + 0*q**3 + 1/90*q**6. Factor a(g).
-4*g**2*(g - 1)*(g + 1)**2/3
Let y(z) be the second derivative of 0*z**2 - 1/105*z**6 - 1/42*z**4 - 10*z + 0 - 1/35*z**5 + 0*z**3. Let y(s) = 0. Calculate s.
-1, 0
Let f(z) = -13*z**2 - 12*z + 16. Let g(w) = -2*w**2 - w. Let b(u) = -f(u) + 6*g(u). Factor b(x).
(x - 2)*(x + 8)
Let h(a) be the first derivative of -2*a**5/25 - a**4/5 + 2*a**3/15 + 2*a**2/5 + 84. What is y in h(y) = 0?
-2, -1, 0, 1
Suppose -5*j = 2*r - 3, -2*j = -r - 0 - 3. Let c be (-4)/(-26) + (r - -1). Factor 2/13*k**2 + 0 - 2/13*k**4 - c*k + 2/13*k**3.
-2*k*(k - 1)**2*(k + 1)/13
Let d(k) be the first derivative of -k**9/756 + k**8/140 + 2*k**7/105 - 8*k**3 - 10. Let s(a) be the third derivative of d(a). Factor s(i).
-4*i**3*(i - 4)*(i + 1)
Determine z, given that 78*z**3 + 4*z**2 - 37*z**3 + 3*z - 40*z**3 = 0.
-3, -1, 0
Determine h so that -15*h**2 + 13*h**2 + 6 + 30 + 15*h + 3*h**2 = 0.
-12, -3
Let y(u) = -u**3 + 5*u**2 + 6*u + 2. Let r be (-5*10/(-125))/((-1)/(-15)). Let j be y(r). Solve -4*z**2 + 4*z**3 + 2/5*z**5 - 2/5 + j*z - 2*z**4 = 0.
1
Let c = 892/69 + -144/23. Factor 37/3*q**3 + 13*q**2 + 17/3*q**4 + c*q