-2)/2. Suppose -100 = -l - y*l. Factor -9*p**4 - 11 - 57*p**2 + l*p**3 + p**2 - 5 + 48*p + 12*p**3 + p**5.
(p - 2)**4*(p - 1)
Let l be ((8 - 2)/(-36))/(-40). Let k(r) be the third derivative of 0*r + 5*r**2 + l*r**5 - 1/32*r**4 + 0 - 1/12*r**3 + 1/840*r**7 + 1/160*r**6. Factor k(f).
(f - 1)*(f + 1)**2*(f + 2)/4
Let x(w) = -3*w**3 - 9*w**2 - 9*w + 29. Let k(z) = -7*z**3 - 17*z**2 - 15*z + 59. Let t(s) = -4*k(s) + 10*x(s). Suppose t(d) = 0. Calculate d.
-9, -3, 1
Let y(s) be the first derivative of 3/4*s**4 + 3/10*s**5 + 0*s + 5/6*s**3 - 8 + 1/24*s**6 + 3/8*s**2. Solve y(f) = 0.
-3, -1, 0
Let l(n) be the first derivative of n**8/560 - n**7/280 + 20*n**3/3 + 15. Let p(s) be the third derivative of l(s). Find f, given that p(f) = 0.
0, 1
Let v be (-1)/6*(121/22 - 7). Factor v*w**2 + 5/4*w - 7/2.
(w - 2)*(w + 7)/4
Let 120*s + 80 - 41*s**2 + 18*s**2 + 68*s**2 + 5*s**3 = 0. Calculate s.
-4, -1
Let v(x) = 2*x**3 - 251*x**2 + 6*x + 3. Let z(m) = 12*m**3 - 1505*m**2 + 34*m + 17. Let g(s) = 34*v(s) - 6*z(s). Factor g(h).
-4*h**2*(h - 124)
Let p(f) be the third derivative of -f**6/24 + f**5/5 + 17*f**4/24 - 7*f**2. Let i(m) = -m**3 + 3*m**2 + 4*m. Let l(t) = -9*i(t) + 2*p(t). Factor l(w).
-w*(w + 1)*(w + 2)
Let o = -1132 + 1132. Let u(a) be the third derivative of 2/165*a**5 + 0*a - 3*a**2 + 2/33*a**3 + 5/132*a**4 + o + 1/660*a**6. Solve u(w) = 0.
-2, -1
Let i(a) = -731*a**4 - 1352*a**3 + 214*a**2 - 12*a + 2. Let u(y) = y**4 + y**3 - y**2 + 2*y - 1. Let w(r) = -i(r) - 2*u(r). Factor w(o).
o*(o + 2)*(27*o - 2)**2
Let g(r) be the first derivative of -r**3/12 + r**2/8 + 3*r/2 - 5. Factor g(v).
-(v - 3)*(v + 2)/4
Let z(r) = -46*r + 416. Let a be z(9). Let n(l) be the first derivative of 2/11*l - 4 - 1/11*l**a + 1/22*l**4 - 2/33*l**3. Factor n(i).
2*(i - 1)**2*(i + 1)/11
Suppose 5357 - 5201 = 3*n. Find l, given that -116/5*l + n*l**2 + 12/5 + 20*l**3 = 0.
-3, 1/5
Let l be (2/6)/((-7)/3052). Let c = l - -146. Determine q so that -4/3 + q**2 - 1/3*q**4 + 4/3*q - c*q**3 = 0.
-2, 1
Let y = -288 - -284. Let p be 1/y - (-63)/12. Factor 0 - b**2 + 0*b - 3/2*b**3 - 7/2*b**p + 6*b**4.
-b**2*(b - 1)**2*(7*b + 2)/2
Let a(f) be the second derivative of -1/3*f**3 + 38*f - 1/15*f**6 + 0*f**2 + 1/10*f**5 + 0 + 1/6*f**4. Factor a(p).
-2*p*(p - 1)**2*(p + 1)
Let o(s) be the first derivative of 4/7*s + 1/21*s**6 - 2/7*s**4 - 4/21*s**3 + 3/7*s**2 + 1 + 0*s**5. Factor o(g).
2*(g - 2)*(g - 1)*(g + 1)**3/7
Suppose -84 = -18*h - 30. Factor -8/5*p**2 + 28/5*p - 4/5*p**h - 16/5.
-4*(p - 1)**2*(p + 4)/5
Factor -194/9 + 2/9*r**3 + 130/3*r - 22*r**2.
2*(r - 97)*(r - 1)**2/9
Let l(w) = -2*w + 2. Let v be l(-22). Let g = v + -91/2. Factor g*x**3 + 1 - 1/2*x - x**2.
(x - 2)*(x - 1)*(x + 1)/2
Let r be ((-5)/(-125))/(8/40). Let u(o) be the first derivative of -2/5*o**2 + 2/25*o**5 + 0*o - 2/15*o**3 - 5 + r*o**4. What is l in u(l) = 0?
-2, -1, 0, 1
Let o be (-6 - -21)*2/6. Suppose 0*v**2 - 6/5*v**3 + 3*v**4 - 9/5*v**o + 0 + 0*v = 0. Calculate v.
0, 2/3, 1
Suppose -4*j = 4*j - 6*j. Suppose -5 = -5*m + 5. Factor 0*h**m + 2/9*h**4 + 2/9*h**5 + j + 0*h + 0*h**3.
2*h**4*(h + 1)/9
Suppose 12*w + 33 = 93. Let b(q) be the first derivative of 3/4*q**2 + w - 1/2*q + 1/6*q**3 - 3/8*q**4. Solve b(k) = 0 for k.
-1, 1/3, 1
Suppose 10*q - 47 = 3. Let c(y) be the first derivative of 4*y + 2*y**2 - y**4 - 1/5*y**q + 4 - y**3. Solve c(i) = 0 for i.
-2, -1, 1
Let w(o) be the second derivative of o**4/6 + 2*o**3 + 66*o. Find y such that w(y) = 0.
-6, 0
Let v be (14/(-63))/((-105)/135 + (-2)/(-3)). Factor 4/9*p - 4/9 + 1/9*p**4 - 4/9*p**3 + 1/3*p**v.
(p - 2)**2*(p - 1)*(p + 1)/9
Let c be (1/(5 - -11))/(15*7). Let x(i) be the third derivative of 6*i**2 + 0*i - c*i**7 + 0*i**3 + 1/960*i**6 + 0 + 1/480*i**5 - 1/192*i**4. Factor x(n).
-n*(n - 1)**2*(n + 1)/8
Suppose g = -4*g. Determine w so that -16*w + g*w**3 - 4*w**3 + 20*w = 0.
-1, 0, 1
Let x(h) be the second derivative of 2*h**6/15 - 9*h**5/5 + 8*h**4/3 - 55*h. Find k such that x(k) = 0.
0, 1, 8
Factor 84/5*r**2 - 588/5*r - 4/5*r**3 + 1372/5.
-4*(r - 7)**3/5
Let p(g) = 4*g**2 - 214*g + 2710. Let h(d) = 4*d**2 - 213*d + 2709. Let j(f) = 6*h(f) - 5*p(f). Factor j(t).
4*(t - 26)**2
Let m(a) be the second derivative of a**7/84 + a**6/12 + 3*a**5/40 - 17*a**4/24 - 7*a**3/3 - 3*a**2 + 3*a - 4. What is j in m(j) = 0?
-3, -2, -1, 2
Let a(v) be the second derivative of -12*v + 5/3*v**3 + 1/4*v**5 + 0*v**2 + 0 - 5/4*v**4. Factor a(m).
5*m*(m - 2)*(m - 1)
Let w(h) be the first derivative of h**3/6 - h**2/4 - 3*h + 76. Find x such that w(x) = 0.
-2, 3
Let i be 1 + ((-2)/(-7) - (-11)/((-1617)/(-252))). Suppose -12/7 - 2*n + 2/7*n**i + 0*n**2 = 0. What is n?
-2, -1, 3
Let m be (-3)/(-2 - (-5)/4). Suppose 2*u - 4*h = 8, m*u - h + 5*h = 4. Solve 6 + j**2 - 3*j**4 + 6*j**4 + 10 + 6*j**3 - u*j**4 - 24*j = 0 for j.
-4, 1
Let f(k) be the third derivative of -1/90*k**5 + 8/45*k**3 + 0 + 28*k**2 + 1/30*k**4 + 0*k. Determine c, given that f(c) = 0.
-4/5, 2
Let w(t) be the third derivative of t**5/270 - 28*t**4/27 + 220*t**3/27 + 460*t**2. What is v in w(v) = 0?
2, 110
Let n be ((-48)/(-60))/((-130)/(-26) + 23/(-5)). Determine i, given that 16/3*i - 40/3*i**n - 46/3*i**4 - 8/3*i**5 + 0 - 28*i**3 = 0.
-2, 0, 1/4
Let b(h) be the first derivative of 0*h + 1/1080*h**6 + 0*h**4 + 0*h**2 - 8/3*h**3 + 1 + 0*h**5. Let d(x) be the third derivative of b(x). Factor d(y).
y**2/3
Let o be 115/(-13) - ((-16)/13)/(-8). Let y be (o - -3)/((243/(-6))/3). Factor -y - 2/9*h**2 + 2/3*h.
-2*(h - 2)*(h - 1)/9
Let f(v) be the second derivative of 21*v + 1/30*v**4 + 0 - 1/3*v**3 + 4/5*v**2. Determine a so that f(a) = 0.
1, 4
Let y(h) = 4*h**4 - 33*h**3 - 132*h**2 - 140*h - 48. Let v(k) = -4*k**4 + 34*k**3 + 132*k**2 + 140*k + 48. Let d(u) = -3*v(u) - 2*y(u). Factor d(o).
4*(o - 12)*(o + 1)**3
Let c(k) = -9*k**2 + 15*k - 6. Let h(d) = 11*d + 2*d - 6 - 8*d**2 + d. Let m = -1 + 7. Let n(l) = m*h(l) - 5*c(l). Suppose n(w) = 0. Calculate w.
1, 2
Find o, given that 43*o + 6*o**3 - 12 + 2*o**3 - 4*o**3 - 15*o - 20*o**2 = 0.
1, 3
Solve -80*y - 87*y + 255*y - 9*y**2 + 3*y**4 + 6 - 85*y - 3*y**3 = 0.
-1, 1, 2
Let r be (-2)/(-3) - 6985/132. Let q = 53 + r. Factor -3/4*z**3 - q + 3/4*z + 3/4*z**2.
-3*(z - 1)**2*(z + 1)/4
Let i(v) = 9*v**4 - 15*v**3 + 9*v**2 + 12*v + 14. Let m(b) = 4*b**4 - 7*b**3 + 4*b**2 + 6*b + 6. Let r(y) = -3*i(y) + 7*m(y). Factor r(t).
t*(t - 3)*(t - 2)*(t + 1)
Let h be (1780/1246)/((-10)/(-14)). Factor -2/3*l**4 + 2/3*l**h + 0*l + 0*l**3 + 0.
-2*l**2*(l - 1)*(l + 1)/3
Let l(b) be the first derivative of b**3/2 - 9*b**2 - 39*b/2 - 527. What is c in l(c) = 0?
-1, 13
Let l = -9/25 - -69/25. What is v in 4*v - l - 4/5*v**2 - 4/5*v**3 = 0?
-3, 1
Let h(k) be the second derivative of -k**7/3780 - k**6/1080 + k**5/90 + 5*k**4/2 + 32*k. Let s(f) be the third derivative of h(f). Factor s(a).
-2*(a - 1)*(a + 2)/3
Solve 280*a**4 + 4*a - a**3 - 144*a**4 - 135*a**4 - 4*a**2 = 0.
-2, 0, 1, 2
Suppose 5*g = -2*m + 3*g + 46, 0 = -5*m - g + 107. Suppose 4*b - 11 = m. Factor -b*u**3 + 2*u**3 + 4 - 9*u**4 - 3*u**5 - 1 + 6*u**2 + 9*u.
-3*(u - 1)*(u + 1)**4
Let d(w) be the first derivative of 5*w**4/12 - 5*w**2/2 - 6*w + 3. Let g(f) be the first derivative of d(f). What is r in g(r) = 0?
-1, 1
Suppose 0 = 5*v - 17*v + 3120. Let y = v + -3376/13. Solve y*g**2 - 6/13 - 10/13*g = 0 for g.
-1/2, 3
Suppose a = -3*r, -4*r - a = r. Let u(t) be the first derivative of 1/14*t**4 + 5 + 4/7*t**3 + r*t + 9/7*t**2. Factor u(s).
2*s*(s + 3)**2/7
Let g = 7 - 11. Let b(s) = 5*s**4 - s**3 - 4*s - 4. Let f(j) = -6*j**4 + j**3 + 5*j + 5. Let t(h) = g*f(h) - 5*b(h). Find v such that t(v) = 0.
0, 1
Let q(u) be the second derivative of -u**5/60 - u**4/9 - 5*u**3/18 - u**2/3 - 9*u - 7. Factor q(d).
-(d + 1)**2*(d + 2)/3
Let z = 1518 - 31873/21. Let r(b) be the second derivative of 1/7*b**2 - 6*b - z*b**3 + 2/21*b**4 + 0. Suppose r(q) = 0. Calculate q.
1/4, 1
Let n(m) be the second derivative of -m**4/4 - 12*m**3 - 216*m**2 - 82*m. Find h, given that n(h) = 0.
-12
Let n = 2385 + -2385. Let p(d) be the second derivative of 0*d**2 + 1/105*d**6 + 11*d + 1/21*d**3 - 1/42*d**4 - 1/70*d**5 + n. Factor p(c).
2*c*(c - 1)**2*(c + 1)/7
Let d = -3831 + 3834. Factor i**4 + 0 + 1/2*i**5 - i**2 + 0*i**d - 1/2*i.
i*(i - 1)*(i + 1)**3/2
Factor 0 + 36/7*n**3