l + 4)*(11*l + 2)/9
Find s, given that -2*s**4 + 8*s**2 - 16 + 2*s**4 + 12*s - 3*s**3 - 3*s**4 + 2*s**4 = 0.
-4, -2, 1, 2
Let k(o) be the second derivative of 14*o + 1/42*o**4 + 0 + 25/7*o**2 - 10/21*o**3. Factor k(s).
2*(s - 5)**2/7
Let m(h) be the second derivative of 21*h - 3/8*h**3 + 0 + 1/16*h**4 + 3/4*h**2. Factor m(v).
3*(v - 2)*(v - 1)/4
Factor -3*a**2 - 5*a**3 + 0 - 10*a - 1 + 7*a**3 + 13 - a**2.
2*(a - 3)*(a - 1)*(a + 2)
Let m = 2380 + -52351/22. Let z(r) be the first derivative of 2/11*r**2 + 0*r + 3 + 14/33*r**3 - m*r**4. Solve z(f) = 0.
-2/9, 0, 1
Solve 3456 - 1/4*y**3 + 18*y**2 - 432*y = 0.
24
Let t = 83198/13 + -6404. Let a = t - -175/39. Factor 2/3*v + 1 - a*v**2.
-(v - 3)*(v + 1)/3
Factor 0*c + 0 - 6/5*c**2 + 16*c**3.
2*c**2*(40*c - 3)/5
Let p(h) be the first derivative of -h**3 - 15*h**2 - 48*h - 125. Determine f, given that p(f) = 0.
-8, -2
Let b = 5 - -13. Suppose -u + 4*u = 4*n + b, -2*u - n + 1 = 0. Factor 6*l - 3*l**2 + 2*l**3 - 2*l**2 - 2 - 2*l**2 + l**u.
2*(l - 1)**3
Let g(c) be the first derivative of c**5/50 + 57*c**4/40 + 419*c**3/15 + 168*c**2/5 - 784*c/5 - 453. Let g(j) = 0. Calculate j.
-28, -2, 1
Let k(f) be the first derivative of -f**5/330 + 5*f**4/132 - 4*f**3/33 + 3*f**2 + 14. Let p(j) be the second derivative of k(j). What is x in p(x) = 0?
1, 4
Factor -55*i**3 + 51 + 57*i**3 + 70*i - 1 + 22*i**2.
2*(i + 1)*(i + 5)**2
Let u(j) = j**2 - 3. Let i(a) = 2*a**2 - 19*a - 9. Let q(w) = 5*i(w) - 15*u(w). Solve q(t) = 0 for t.
-19, 0
Let y(x) be the first derivative of -x**7/2100 + x**6/300 - x**5/100 + x**4/60 - 7*x**3/3 - 13. Let f(l) be the third derivative of y(l). Factor f(m).
-2*(m - 1)**3/5
Suppose 5*g = 26 - 1. Let p(r) be the third derivative of -11/60*r**g + 0*r + 2/105*r**7 - 1/3*r**3 - 6*r**2 + 0*r**6 + 0 - 3/8*r**4. Factor p(l).
(l - 2)*(l + 1)*(2*l + 1)**2
Suppose r - 2*m = 3 + 9, 4*r + 4 = -5*m. Let j be ((-1)/(-14))/(5/20). Determine k, given that -4/7 + 2/7*k - 2/7*k**r + 6/7*k**2 - j*k**3 = 0.
-2, -1, 1
Let b(i) = i**2 - 15*i + 2. Let g be b(15). Suppose -2*s = 2*m - 16, -s = m - 2*m + g. Factor 0 - 1/2*h - h**2 - 1/2*h**s.
-h*(h + 1)**2/2
Let g(r) be the first derivative of -r**5/5 - 5*r**4/2 + 23*r**3/3 + 120*r**2 - 576*r + 23. Factor g(p).
-(p - 3)**2*(p + 8)**2
Let h(u) = -9*u**3 + 19*u**2 + 5*u - 11. Let s(w) = 100*w**3 - 210*w**2 - 55*w + 120. Let j(d) = 45*h(d) + 4*s(d). Factor j(i).
-5*(i - 3)*(i - 1)*(i + 1)
Let y**4 + 34*y**3 + 19*y**4 + 13*y**4 - 4*y**3 + 3*y**5 = 0. What is y?
-10, -1, 0
Let h = 7 + -2. Factor 2*q - 3 + q - 6*q**2 + 3*q**4 + 3*q**h + 6 - 6*q**3.
3*(q - 1)**2*(q + 1)**3
Let t(v) be the first derivative of 0*v - 4 + 4/15*v**6 + 0*v**2 + 0*v**3 + 2/25*v**5 + 0*v**4. Find w, given that t(w) = 0.
-1/4, 0
Let l be -24*738/(-2448) + -7. Factor -26/17*x**2 + l*x + 0.
-2*x*(13*x - 2)/17
Let y = 110235/4 + -27230. Let z = -328 + y. Let -9/4*c**3 + 0 - 9/4*c**2 - z*c**4 - 3/4*c = 0. Calculate c.
-1, 0
Let m(s) be the second derivative of -s**4/36 - 4*s**3/3 + 26*s**2/3 - 3*s - 126. Factor m(v).
-(v - 2)*(v + 26)/3
Let j be 66/(-4)*2584/(-342). Let h = j - 124. Factor 0 + 2/9*l**2 - h*l.
2*l*(l - 3)/9
Let v(n) be the third derivative of n**6/840 + n**5/210 - n**4/168 - n**3/21 - 33*n**2 + 2*n. Factor v(u).
(u - 1)*(u + 1)*(u + 2)/7
Find w such that -40*w**4 - 94*w**3 + 5*w**2 + 5*w**2 + 4 - 13*w**2 - 18*w**2 + 16*w = 0.
-2, -1/2, -1/4, 2/5
Let o(k) = 21*k**2 - 80*k + 320. Let l(w) = -46*w**2 + 160*w - 640. Let b(m) = -4*l(m) - 9*o(m). Factor b(p).
-5*(p - 8)**2
Suppose 21*a - 27*a + 12 = 0. Let x(c) be the second derivative of 0 + 0*c**3 - 1/105*c**6 + 1/294*c**7 + 5*c + 1/140*c**5 + 0*c**a + 0*c**4. Factor x(y).
y**3*(y - 1)**2/7
Let x be (90/495)/((-2)/(-22)). Let h(i) be the second derivative of -x*i + 1/3*i**4 - 4/15*i**6 - 5/3*i**3 + 2/5*i**5 + 2*i**2 + 1/21*i**7 + 0. Factor h(r).
2*(r - 2)*(r - 1)**3*(r + 1)
Let r = -207 + 159. Let i be 2*(-3)/(r/20). Factor -i*n - 2*n**2 - 1/2.
-(n + 1)*(4*n + 1)/2
Let j = 55840 - 55834. Factor 4*o + j + 2/3*o**2.
2*(o + 3)**2/3
Factor -172/3*m + 3698 + 2/9*m**2.
2*(m - 129)**2/9
Suppose -29*a - 39*a + 8*a = -2*a. Factor 0 - 3/4*u**3 + a*u - 3/4*u**2.
-3*u**2*(u + 1)/4
Let x(z) = z**2 - 7*z - 10. Let k be x(9). Determine q, given that 25*q**3 + 33*q**3 - 12*q - k - 54*q**3 = 0.
-1, 2
Let i(x) be the third derivative of x**5/24 + 5*x**4/48 - 5*x**3/6 + 4*x**2 - 2*x. Solve i(r) = 0.
-2, 1
Factor 0*g**2 - 3*g**3 - 4*g**2 + 11*g**3 - 2*g**4 - 2*g**4.
-4*g**2*(g - 1)**2
Let k = 0 + 3. Let q(i) = i**3 + i**2 + i + 1. Let g(y) = 4*y**3 + 6*y**2 + 5*y + 3. Let a(d) = k*q(d) - g(d). Find x such that a(x) = 0.
-2, -1, 0
Let l = -32457/25 + 1298. Let f = 71/75 + l. Factor -4/9 + 0*d**2 - f*d + 2/9*d**3.
2*(d - 2)*(d + 1)**2/9
Suppose 0 = -4*j + 12, -5*j = -5*h - 45 + 5. Let d = -2 - h. Find r such that -4*r**d + 5*r**3 - 3*r**2 + 3*r**2 + r**2 = 0.
-1, 0
Let u(t) be the first derivative of 20/3*t**3 + 2*t**2 - 4*t + 1 + 3*t**4. Let u(z) = 0. Calculate z.
-1, 1/3
Find j, given that -8 + 42/5*j - 2/5*j**2 = 0.
1, 20
Suppose 55/2*n - 15*n**2 + 5 = 0. Calculate n.
-1/6, 2
Let w(r) = 103*r**4 - 646*r**3 - 165*r**2. Let x(j) = j**5 - 103*j**4 + 647*j**3 + 166*j**2. Let t(d) = 3*w(d) + 4*x(d). Solve t(o) = 0.
-1/4, 0, 13
Let z be (-48)/(-70) + ((-8)/(-28) - 288/420). Find g, given that -z*g + 0 + 2/7*g**2 = 0.
0, 1
Let f(l) be the third derivative of 6*l**2 - 4/3*l**3 + 0*l**4 - 1/120*l**5 + 0 + 1/360*l**6 + 0*l. Let w(x) be the first derivative of f(x). Factor w(k).
k*(k - 1)
Let r(l) be the first derivative of l**6/33 + 18*l**5/55 - l**4/2 - 6*l**3/11 + 10*l**2/11 + 203. Find u such that r(u) = 0.
-10, -1, 0, 1
Let j(m) = 2*m - 1. Let i be j(4). Let p be (-40)/(-14) - (-1)/i. Find n such that 0*n + n - n**2 + 1 + 2*n - p*n**2 = 0.
-1/4, 1
Let i(n) be the first derivative of n - 1/7*n**2 + 1/21*n**4 + 1 + 0*n**3 + 0*n**5 - 1/105*n**6. Let z(c) be the first derivative of i(c). Factor z(g).
-2*(g - 1)**2*(g + 1)**2/7
Let n(b) = 5*b - 25. Let r be n(-4). Let x be -45 - r - (-6 + 1 + 1). Factor -1/5*a**5 - 1/5*a**3 + 2/5*a**x + 0*a**2 + 0*a + 0.
-a**3*(a - 1)**2/5
Let m be 2*(6 - (-23106)/(-3822)). Let k = 12/49 + m. Factor 4/13*u**2 - k*u - 2/13*u**3 + 0.
-2*u*(u - 1)**2/13
Suppose 1286 = 54*z + 1124. Find s such that -4/3*s + 1/3*s**z - 4/3 + 1/3*s**2 = 0.
-2, -1, 2
Suppose 0 = 2*y + y. Suppose y = 5*k - 3 - 17. Find c, given that 4*c**2 + 3*c**5 - 5*c**k - 2*c + c**4 - c**5 + 0*c**4 = 0.
-1, 0, 1
Suppose 2035*r**2 - 421*r**4 + 82 + 18 + 49*r**5 - 24 - 680*r - 2285*r**3 + 1226*r**4 = 0. What is r?
-19, 2/7, 1
Let w(c) be the third derivative of -1/42*c**7 + 5/12*c**4 - 4*c**2 + 0*c**3 + 1/4*c**5 + 6 + 0*c + 0*c**6. Factor w(u).
-5*u*(u - 2)*(u + 1)**2
Factor -2*d**2 + 1/4*d**3 + 2 - 1/4*d.
(d - 8)*(d - 1)*(d + 1)/4
Let 1/4*i**4 + 5/4*i + 0 + 7/4*i**3 + 11/4*i**2 = 0. Calculate i.
-5, -1, 0
Let d = -71 + 73. Factor 0*l**5 - 6*l**d - 2*l**3 + 6*l**4 + 0*l**4 + 3*l**5 - l**3.
3*l**2*(l - 1)*(l + 1)*(l + 2)
Let m(k) be the third derivative of k**5/24 + 445*k**4/24 + 39605*k**3/12 - 325*k**2. Suppose m(s) = 0. Calculate s.
-89
Let d be ((-18)/(-8))/((-498)/(-664)). Let q(y) be the first derivative of -1/2*y**4 - 48*y**2 + 1 + 128*y + 8*y**d. Find x, given that q(x) = 0.
4
Suppose 20 = 4*c - 8*d + 5*d, -2*d = -3*c + 14. Factor 2/5*v**4 + 12/5*v**3 + 4*v + 6/5 + 24/5*v**c.
2*(v + 1)**3*(v + 3)/5
Let u(a) be the third derivative of 0*a**3 - 1/20*a**5 + 1/200*a**6 + 0 + 3/40*a**4 + 13*a**2 + 1/350*a**7 + 0*a. Factor u(y).
3*y*(y - 1)**2*(y + 3)/5
Let v(o) be the third derivative of -1/8*o**5 + 1/20*o**6 + 0*o + 0 + 0*o**3 - 1/140*o**7 + 10*o**2 + 1/8*o**4. Factor v(w).
-3*w*(w - 2)*(w - 1)**2/2
Let b(g) = 5*g**3 + 79*g**2 + 153*g + 75. Let m(t) = -25*t**3 - 392*t**2 - 764*t - 375. Let p(i) = -11*b(i) - 2*m(i). Determine d so that p(d) = 0.
-15, -1
Let 156*l**3 - 3814*l**4 + 2509*l**2 + 3575*l**2 + 3815*l**4 = 0. Calculate l.
-78, 0
Let z(g) be the second derivative of -g**4/66 - 146*g**3/33 - 5329*g**2/11 + 370*g. Suppose z(n) = 0. What is n?
-73
Factor 7/5*c**2 + 16/5*c + 0.
c*(7*c + 16)/5
Suppose -20*t - t - 18*t = -117. Factor 0 + 5*n**4 + 0*n + 4/3*n**2 - 25/6*n**5 + 6*n**t.
-n**2*(n - 2)*(5*n + 2)**2/6
Let n(y) = 3*y - 10. Let b(g) = -g + 3. Let j(o) = -7*b(o