w(u).
2*u*(u + 1)*(u + 2)
Let t be 2*(-4)/24*0. Suppose t = 8*o - 10*o. Suppose -5*l**2 + o*l + 9*l**2 - 3*l = 0. What is l?
0, 3/4
Let u(r) be the second derivative of r**6/25 - 7*r**5/50 + r**4/10 + r**3/5 - 2*r**2/5 + 2*r + 36. Solve u(m) = 0 for m.
-2/3, 1
Let r be (-19)/(57/(-18)) + (-3 - -1). Factor 2*j**5 + 5*j**4 + 16*j**2 + 0*j**r + 8*j**4 + 24*j**3 - j**4.
2*j**2*(j + 2)**3
Let c(n) be the second derivative of -n**5/100 + 7*n**4/12 - 247*n**3/30 - 1083*n**2/10 - n + 66. Factor c(j).
-(j - 19)**2*(j + 3)/5
Let c(n) be the first derivative of -21*n**6/8 + 19*n**5/4 + 279*n**4/16 + 11*n**3/4 - 19*n**2/2 + 3*n + 56. Solve c(d) = 0 for d.
-1, 2/9, 2/7, 3
Let a(v) be the third derivative of -v**8/112 + 2*v**7/35 + 21*v**6/40 + v**5/5 - 7*v**4/2 + 665*v**2. Find o, given that a(o) = 0.
-2, 0, 1, 7
Let q = -12169 - -36511/3. Factor 0 - 2/3*i**2 - q*i.
-2*i*(i + 2)/3
Let f(d) be the first derivative of -1/25*d**5 + 1/15*d**3 + 0*d - 1 - 1/20*d**4 + 1/30*d**6 + 0*d**2. Factor f(w).
w**2*(w - 1)**2*(w + 1)/5
Solve 4*z**5 + 14*z**3 + 446*z - 16*z**4 - 2*z**3 - 446*z = 0.
0, 1, 3
Let i(y) be the first derivative of -y**4/4 - 5*y**3 - 297. Factor i(r).
-r**2*(r + 15)
Let s(l) be the second derivative of -5*l + 49/2*l**2 - 2 - 7/3*l**3 + 1/12*l**4. Factor s(o).
(o - 7)**2
Let b = -54 - -164/3. Let h be (-41)/((-1148)/16)*(-14)/(-12). Find a such that h*a**2 + 0*a - b = 0.
-1, 1
Let f = -14 - -18. Suppose -5*p + 35 = 4*b, f*b = 9*b - 5*p - 10. Factor 0*v**5 + 2*v**5 + b*v**5 - 4*v**5 - 6*v**3 + 3*v.
3*v*(v - 1)**2*(v + 1)**2
Suppose 0*m = 5*m - 210. Let l = -37 + m. Determine o, given that 0*o + 0*o**2 + 0*o**4 + 0 - 1/2*o**3 + 1/2*o**l = 0.
-1, 0, 1
Let w(f) be the first derivative of -f**7/420 - 11*f**6/900 - 7*f**5/300 - f**4/60 - 10*f**3 - 15. Let k(y) be the third derivative of w(y). Factor k(q).
-2*(q + 1)**2*(5*q + 1)/5
Let p(g) be the third derivative of g**8/6720 - g**6/240 + 43*g**5/60 + 48*g**2. Let w(u) be the third derivative of p(u). Factor w(c).
3*(c - 1)*(c + 1)
Let j be 5/(-15)*(1 + -1). Let a(i) be the first derivative of -1/4*i + 3 + j*i**2 + 1/12*i**3. Factor a(p).
(p - 1)*(p + 1)/4
Let y(l) be the third derivative of l**7/315 - 11*l**6/180 - 2*l**5/15 - 15*l**2 - 2*l. Factor y(x).
2*x**2*(x - 12)*(x + 1)/3
Let b(k) = 16*k**2 - 49*k + 89. Let u(t) = -23*t**2 + 74*t - 133. Let w(x) = -7*b(x) - 5*u(x). Factor w(y).
3*(y - 7)*(y - 2)
Let a = -894 - -894. Let n(p) be the third derivative of a + 1/280*p**6 + 0*p + 0*p**3 - 1/28*p**4 - 7*p**2 - 1/140*p**5. Factor n(t).
3*t*(t - 2)*(t + 1)/7
Let v(i) be the first derivative of 28*i**3/3 - 176*i**2 + 7744*i/7 + 224. Factor v(h).
4*(7*h - 44)**2/7
Let c(b) = -3*b**4 + 6*b**3 + 15*b**2 + 15*b + 3. Let a(n) = n**3 + 2*n + 1. Let h(d) = 3*a(d) - c(d). Factor h(i).
3*i*(i - 3)*(i + 1)**2
Let o = -59240/3 + 19748. Factor -o*c**2 + 16/3 + 8/3*c - 2/3*c**3.
-2*(c - 2)*(c + 2)**2/3
Factor 54*u + 59197*u**2 - 14*u**3 + 110*u - 59411*u**2 + 64.
-2*(u - 1)*(u + 16)*(7*u + 2)
Factor 34/3*l - 12 - 2/9*l**3 + 8/9*l**2.
-2*(l - 9)*(l - 1)*(l + 6)/9
Suppose 0*d + d = 0. Suppose -5*s + 56 + 4 = d. What is l in -3*l**4 + 12 - 9*l**2 - s - 9*l**3 - 3*l = 0?
-1, 0
Suppose 4*p - 2*q = 300, -q + 68 = p - 7. Let k be 5/(p/(-12)) + (-122)/(-65). Factor k*z**2 - 4/13 + 10/13*z.
2*(z + 1)*(7*z - 2)/13
Let x(y) be the first derivative of y**5/5 - 9*y**4/4 - 11*y**3 - 35*y**2/2 - 12*y + 124. Find r such that x(r) = 0.
-1, 12
Let o(m) be the second derivative of -9/16*m**3 - 7 - m + 3/2*m**2 + 1/32*m**4. Factor o(c).
3*(c - 8)*(c - 1)/8
Let c be (3 + 55/(-20))*0. Let y(l) be the third derivative of 1/660*l**6 + 1/330*l**5 + 0*l**3 + 0*l**4 + c*l - 3*l**2 + 0. Factor y(x).
2*x**2*(x + 1)/11
Let x(g) = 2*g**3 + 11*g**2 + 4*g - 2. Let d be x(-5). Let l(h) be the first derivative of -1/3*h**d + 4 - h**2 - h. Factor l(u).
-(u + 1)**2
Let x(t) be the third derivative of -t**8/20160 + t**7/5040 + 4*t**5/15 - 8*t**2. Let d(r) be the third derivative of x(r). Factor d(y).
-y*(y - 1)
Let p(j) = 219*j + 6791. Let n be p(-31). Let -30/7*q + 0 + 3/7*q**n = 0. What is q?
0, 10
Let h be 9 - 10/(-9 + 4). Suppose h - 9 = t. Factor 10*l - 10*l + t*l**3 + 3*l**2 - 1.
(l + 1)**2*(2*l - 1)
Suppose -3*t = -3*j + 87, -2*j + t + 46 = -16. Determine c so that 13*c**5 - 3*c**5 + 15*c**4 - 38*c**2 + j*c**2 = 0.
-1, 0, 1/2
Let r(q) be the first derivative of -2*q**6/3 - 132*q**5/5 - 336*q**4 - 3920*q**3/3 - 43. Let r(a) = 0. What is a?
-14, -5, 0
Let y(l) = -2*l**2 + 15*l - 5. Let i = -11 + 18. Let n be y(i). Factor -2*b**2 + 5*b**4 - b**2 - n*b**4 - 3*b**5 + 3*b**3.
-3*b**2*(b - 1)**2*(b + 1)
Let f = -185 + 192. Let d(v) be the second derivative of -v**3 - 4*v + 3/4*v**4 + 0 - 3/10*v**6 + 0*v**2 + 3/20*v**5 + 1/14*v**f. Find b, given that d(b) = 0.
-1, 0, 1, 2
Let d = 83 - 80. Let y(s) be the third derivative of 0*s + 4/15*s**d - 3*s**2 + 0 + 1/30*s**5 - 1/300*s**6 - 2/15*s**4. Factor y(m).
-2*(m - 2)**2*(m - 1)/5
Let m be (-12)/(-76) + 874/3610. Factor -3/10*u**2 - 1/5*u**3 + m*u + 1/10*u**4 + 2/5.
(u - 2)**2*(u + 1)**2/10
Let k(t) = t**4 + t**2 - 6*t - 2. Let c(p) = -4*p**4 + p**3 - 3*p**2 + 20*p + 7. Let u(q) = 2*c(q) + 7*k(q). Let u(j) = 0. Calculate j.
-1, 0, 1, 2
Let 14/23*j**3 + 2/23*j**2 - 12/23*j - 2/23*j**4 - 2/23*j**5 + 0 = 0. Calculate j.
-3, -1, 0, 1, 2
Find a such that -2/3*a**4 + 124/3*a - 16/3*a**3 + 14/3*a**2 + 32 = 0.
-8, -2, -1, 3
Let r(c) be the first derivative of 3*c**4/16 + 2*c**3 + 15*c**2/2 + 12*c - 39. Factor r(i).
3*(i + 2)**2*(i + 4)/4
Let x(d) be the third derivative of d**8/336 - d**7/105 - 11*d**6/120 + 2*d**5/3 - 11*d**4/6 + 8*d**3/3 - 2*d**2 + 29*d. Factor x(p).
(p - 2)**2*(p - 1)**2*(p + 4)
Factor -5/4*p**2 + 95/4*p + 25.
-5*(p - 20)*(p + 1)/4
Factor -351/5 + 3/5*a**2 - 108/5*a.
3*(a - 39)*(a + 3)/5
Suppose 43*h - 14*h - 116 = 0. Let c(i) be the second derivative of 0*i**3 + 3*i + 0 + 1/12*i**h - 1/20*i**5 + 0*i**2. Factor c(l).
-l**2*(l - 1)
Let f be (105/(-30))/((-2)/4). Let u(g) be the third derivative of 0 + 0*g + 3*g**2 - 1/40*g**5 + 1/6*g**3 - 1/240*g**6 + 1/420*g**f + 1/48*g**4. Factor u(o).
(o - 2)*(o - 1)*(o + 1)**2/2
Let z = 60 + -123. Let p = z + 65. Factor -1/4*l**p - 1/2*l - 1/4.
-(l + 1)**2/4
Let z(j) be the third derivative of 0 - 1/945*j**7 + 1/108*j**6 + 0*j**4 + 0*j**3 + 0*j - 2/135*j**5 + 11*j**2. Factor z(g).
-2*g**2*(g - 4)*(g - 1)/9
Factor 16*i**4 + 79*i + 64*i**3 + 5 + i**5 + 3476*i**2 - 3370*i**2 + 17.
(i + 1)**3*(i + 2)*(i + 11)
Let n(l) be the third derivative of -l**8/3360 + l**7/2520 + l**6/360 - l**5/120 - 11*l**4/24 - 16*l**2. Let g(z) be the second derivative of n(z). Factor g(a).
-(a - 1)*(a + 1)*(2*a - 1)
Let r(s) be the second derivative of -7*s**5/180 - 43*s**4/108 - 31*s**3/27 - 4*s**2/9 - 281*s. Solve r(q) = 0.
-4, -2, -1/7
Let p(d) be the first derivative of 9 - 1/9*d**3 + 0*d + 1/3*d**2. Let p(x) = 0. What is x?
0, 2
Let u be (-24)/15*(-1)/4. Let p = 10660 - 53299/5. Factor -4/5*d**2 + d + p*d**3 - u.
(d - 2)*(d - 1)**2/5
Suppose 0 = 5*q - 15, 4*p = -3*q + 41. Suppose -p*f + 20 = -12. Factor 0 - 3/2*w**3 + 3/2*w**5 + 3/2*w**2 - 3/2*w**f + 0*w.
3*w**2*(w - 1)**2*(w + 1)/2
Let o(d) be the first derivative of -4*d**4/5 + 49*d**3/15 - 7*d**2/2 + 2*d/5 - 35. Factor o(q).
-(q - 2)*(q - 1)*(16*q - 1)/5
Let y(q) = 2*q**3 - 27*q**2 - 240*q - 729. Let k(f) = 62*f**2 - 3*f**3 + 318 + 1140 - 8*f**2 + 481*f. Let g(h) = 3*k(h) + 5*y(h). Factor g(w).
(w + 9)**3
Let k(z) be the second derivative of 5*z**7/168 + z**6/12 - 5*z**4/24 - 5*z**3/24 - z - 3. Determine s, given that k(s) = 0.
-1, 0, 1
Let n(h) be the first derivative of -25 + 8*h**2 - 32/3*h**3 + 5*h**4 - 4/5*h**5 + 0*h. Factor n(w).
-4*w*(w - 2)**2*(w - 1)
Let j(w) be the third derivative of w**5/5 - 17*w**4/6 + 16*w**3 + 210*w**2. Solve j(x) = 0 for x.
8/3, 3
Let u = 16 + -26. Let i be 2/10 + (-28)/u. Factor -2 + 7 + 3*p**4 - 8 + 6*p - 6*p**i.
3*(p - 1)**3*(p + 1)
Let i(t) be the first derivative of -2*t**3/3 + 2*t + 28. Factor i(u).
-2*(u - 1)*(u + 1)
Factor 6/11*v**3 - 2/11*v**5 + 0*v**4 + 4/11*v**2 + 0 + 0*v.
-2*v**2*(v - 2)*(v + 1)**2/11
Suppose 5*t + 4*a - 34 = 0, -12 = 24*a - 26*a. Find o such that 0 - 1/4*o**3 + 1/4*o + 1/4*o**t - 1/4*o**4 = 0.
-1, 0, 1
Let o(s) be the first derivative of -s**5/15 + s**4/12 + 42. F