Factor r(j).
-2*(j - 1)**2
Factor 5*d**5 - 22*d**4 - 293*d**3 - 296*d**3 + 597*d**3.
d**3*(d - 4)*(5*d - 2)
Determine f, given that 204/5*f + 28/5*f**3 + 32*f**2 - 72/5 = 0.
-3, 2/7
Let u = -71 + 73. Factor -9*k**u - 25*k**4 + 8*k**4 + 11*k**4 - 6*k + 9*k**4.
3*k*(k - 2)*(k + 1)**2
Let d(w) be the first derivative of -7 + 1/12*w**6 + 1/8*w**4 - 3/10*w**5 + 1/2*w**3 + 0*w - 1/2*w**2. Solve d(l) = 0 for l.
-1, 0, 1, 2
Let a(k) be the first derivative of -2/3*k + 8 - 2/3*k**2 + 0*k**3 + 2/15*k**5 + 1/3*k**4. Factor a(t).
2*(t - 1)*(t + 1)**3/3
Factor -5/2*b**3 + 30*b + 27/2*b**2 - 14.
-(b - 7)*(b + 2)*(5*b - 2)/2
Factor 296/3*u**3 - 4/3*u**5 + 0*u**2 - 140/3*u**4 + 0 + 0*u.
-4*u**3*(u - 2)*(u + 37)/3
Let f(v) be the second derivative of 0*v**2 - 1/10*v**5 - 1/30*v**6 + 1/3*v**3 + 0 + 1/12*v**4 + 7*v. Let f(t) = 0. Calculate t.
-2, -1, 0, 1
Let v = -65 - -67. Find r such that -r**2 + 3*r**v + 2*r**3 + 3*r**2 + 6*r + 3*r**2 = 0.
-3, -1, 0
Let m(t) be the first derivative of 5 + 0*t**4 + 1/5*t**5 + 0*t**2 + 0*t - 1/3*t**3. Factor m(a).
a**2*(a - 1)*(a + 1)
Suppose 4*u + 15 + 13 = 4*g, -g - 13 = 4*u. What is b in -9*b**5 - 4*b**g - 5*b**4 + 8*b**4 - 2*b**3 + 12*b**4 = 0?
0, 2/3, 1
Let h(o) be the third derivative of 15/8*o**4 - 7/20*o**6 - 1/10*o**5 - 1/112*o**8 + 28*o**2 + 0*o + 0 + 9/70*o**7 - 7/2*o**3. Factor h(a).
-3*(a - 7)*(a - 1)**3*(a + 1)
Let f(z) = -z**2 + 558*z + 3958. Let n be f(-7). Solve 30/11*a**4 + 12/11*a**5 - 24/11*a - 6/11 + 12/11*a**n - 24/11*a**2 = 0.
-1, -1/2, 1
Let t(v) be the third derivative of v**5/180 - 5*v**4/24 + 2*v**3 + 14*v**2 + 3. Factor t(l).
(l - 12)*(l - 3)/3
Let k = -8665 + 60667/7. Factor -5/7*y**2 + k*y - 4/7.
-(y - 2)*(5*y - 2)/7
Let s(n) be the first derivative of -n**3/7 - 9*n**2/14 - 6*n/7 + 227. Determine k so that s(k) = 0.
-2, -1
Let q(u) = u**3 - 3*u**2 + 11*u - 36. Let r(b) = -b**2 + 1. Let w(y) = -q(y) - 4*r(y). Let p be w(6). Let -4/5 + 2*s + 2/5*s**3 - 8/5*s**p = 0. Calculate s.
1, 2
Solve 57*k - 5*k**2 - 35*k**2 - 32*k**3 + 3*k**5 + 33*k**4 + 16 - 9*k - 10*k**5 = 0 for k.
-1, -2/7, 2
Let h(k) be the second derivative of 0*k**3 + 1/30*k**5 + 1/12*k**4 + k**2 - k + 0. Let p(b) be the first derivative of h(b). Factor p(x).
2*x*(x + 1)
Suppose -y - 44 = -4. Let g = y - -111. Solve 10*r - r**4 + 7*r - g*r**4 - 68*r**3 - 20*r**5 - r = 0 for r.
-2, -1, 0, 2/5
Let f be 150/(-35)*(3 - 10). Let z = f + -27. Factor 0 + 1/5*l**z + 2/5*l**2 + 1/5*l.
l*(l + 1)**2/5
Let r = 29 + -27. Factor -5*b**4 + 12*b**3 + 3*b**5 - 6*b**4 + b**4 + b - 6*b**r.
b*(b - 1)**3*(3*b - 1)
Let x(l) be the third derivative of l**6/300 + 8*l**5/75 - 166*l**2. Let x(q) = 0. What is q?
-16, 0
Let t(g) be the first derivative of 63*g**4 + 184*g**3/3 + 16*g**2 + 93. Factor t(l).
4*l*(7*l + 2)*(9*l + 4)
Let s be (1 + 1)*(-3)/2. Let c be 1 - (-3 + (-1 - s)). Find j, given that -6*j + 3*j**2 + 0*j**c + 0*j = 0.
0, 2
Let 15376*z**2 + 64 - 15375*z**2 - 2*z - 14*z = 0. Calculate z.
8
Suppose f = -0*f + 37. Suppose -1 = 3*n - f. Suppose 12*u**2 - n*u + 34 + 4*u + 8*u**3 - 34 = 0. Calculate u.
-2, 0, 1/2
Let m(f) be the third derivative of f**6/24 + 105*f**5/4 + 55125*f**4/8 + 1929375*f**3/2 + 44*f**2 - 1. Let m(s) = 0. What is s?
-105
Suppose -2*w = -2*h + 6, 2*w = 5*h - 26 + 8. Let v(r) be the second derivative of -1/3*r**2 + 6*r + 1/18*r**h + 1/60*r**5 - 1/18*r**3 + 0. Factor v(i).
(i - 1)*(i + 1)*(i + 2)/3
Determine o so that 48778/11 + 5220/11*o**2 + 53824/11*o + 16*o**3 + 2/11*o**4 = 0.
-29, -1
Suppose m - 8 = -2*c, -3*m - 20 = -5*c - m. Factor 4*i**3 - 8*i**2 - 4*i + 0*i**3 - 2*i**c + 10*i**2.
-2*i*(i - 2)*(i - 1)*(i + 1)
Let k = 1401 + -1401. Factor 0*x + 0 - 5/3*x**3 + k*x**2.
-5*x**3/3
Let i = 47531/4 + -11881. Suppose 3*d - 1 + i*d**2 = 0. Calculate d.
-2, 2/7
Let w(d) be the second derivative of 13*d + 0 - 3/110*d**5 - 1/33*d**3 + 0*d**2 - 1/22*d**4 - 1/165*d**6. Factor w(z).
-2*z*(z + 1)**3/11
Let a = -19169/90 - -213. Let k(h) be the second derivative of -a*h**4 - 4/15*h**2 + 4/45*h**3 + 0 + 3*h. Determine o, given that k(o) = 0.
2
Let j = 236 + -210. Let a be (j/(-117))/((-3)/27). Find i such that 2/5*i - 1/5*i**a + 0 = 0.
0, 2
Suppose -7*a - 6573 = -6573. Find t, given that 2/11*t**3 - 4/11*t**2 + 0 + a*t = 0.
0, 2
Let s be (5/10)/(2/112). Find g, given that 36*g**4 - 44*g**3 + 2*g**3 - 6*g**3 + s*g**5 - 16*g**2 = 0.
-2, -2/7, 0, 1
Suppose 422 + 793 - 12*b**3 - 94*b - 48*b**2 + 279*b + 112*b = 0. What is b?
-9/2, 5
Let l(f) be the third derivative of -f**8/588 - 4*f**7/735 + 3*f**6/35 + 8*f**5/105 - 41*f**4/42 - 20*f**3/7 - 2*f**2 - 2. Let l(z) = 0. Calculate z.
-5, -1, 2, 3
Let r(p) = -8*p**3 + 149*p**2 - 2315*p + 5630. Let x(q) = 9*q**3 - 147*q**2 + 2313*q - 5631. Let f(c) = 6*r(c) + 5*x(c). Determine s so that f(s) = 0.
3, 25
Find k such that -6*k + 16/3 + 2/3*k**2 = 0.
1, 8
Solve 980/11*z**4 + 672/11*z**3 + 0 + 343/11*z**5 + 16/11*z + 16*z**2 = 0.
-2, -2/7, 0
Let u(m) be the first derivative of m**7/63 - m**6/45 - m**5/30 + m**4/18 + 3*m + 3. Let r(z) be the first derivative of u(z). Factor r(q).
2*q**2*(q - 1)**2*(q + 1)/3
Suppose 2*q + 78 = 3*q. Let h = q + -74. Factor -46/3*i - 464/3*i**3 + 208/3*i**2 - 224/3*i**5 + 4/3 + 512/3*i**h.
-2*(2*i - 1)**4*(7*i - 2)/3
Let v(g) = g**2 + 9*g + 20. Let u be v(-7). Let r be -4 - 24*u/(-27). Factor -4/3 + r*y - 1/3*y**2.
-(y - 2)**2/3
Let p(j) = 4*j**2 + 19*j - 15. Let b be p(-7). Let f be -2 + 1 - b/(-40). Factor 4/5*y + f*y**2 + 4/5.
(y + 2)**2/5
Let x = -3951/8 + 493. Let f = x + 81/56. Factor 4/7 + f*r**2 + 8/7*r.
4*(r + 1)**2/7
Suppose -m + 58 = 2*j + m, 5*j - 4*m - 190 = 0. Solve -j*o**4 + 16*o**3 - 32 - 16*o**2 - 28*o - 36*o + 40*o**4 = 0.
-2, -2/3, 2
Let c(s) be the third derivative of 0*s + 2*s**3 - 8/45*s**5 - 1/15*s**6 - 2/315*s**7 + 0 - 9*s**2 + 1/3*s**4. Determine b, given that c(b) = 0.
-3, -1, 1
Let z(j) = 16*j**3 + 884*j**2 + 9860*j + 1932. Let t(o) = -o**3 + o - 1. Let h(x) = 4*t(x) - z(x). Factor h(q).
-4*(q + 22)**2*(5*q + 1)
Let h(l) = 65*l**3 - 4945*l**2 + 201745*l - 2756790. Let y(s) = 8*s**3 - 618*s**2 + 25218*s - 344599. Let q(k) = 3*h(k) - 25*y(k). Let q(i) = 0. What is i?
41
Factor 0*j + 2/11*j**5 - 6/11*j**4 - 2/11*j**2 + 0 + 6/11*j**3.
2*j**2*(j - 1)**3/11
Let t(v) be the second derivative of -v**5/120 - v**4/18 + 5*v**3/36 - 3*v. What is l in t(l) = 0?
-5, 0, 1
Let x(d) be the first derivative of -d**4/3 + 10*d**3/3 - 8*d**2 + 5*d - 2. Let r(m) be the first derivative of x(m). Factor r(h).
-4*(h - 4)*(h - 1)
Let q(m) be the first derivative of -5*m**4/4 + 15*m**3 - 115*m**2/2 + 75*m + 55. Determine g so that q(g) = 0.
1, 3, 5
Let o = 6948 + -6946. Let 2/17*x**o + 6/17 + 8/17*x = 0. What is x?
-3, -1
Let m be 9 - (33/231)/(5/245). Factor 0*v - 2/3*v**m + 0 + 1/3*v**3.
v**2*(v - 2)/3
Suppose -4*x - 9 = 15. Let w(k) = -k**2 - 7*k - 4. Let t be w(x). Determine a, given that -6*a + 6*a**2 + 4*a - t*a = 0.
0, 2/3
Let x(q) be the second derivative of -q**5 + 61*q**4/24 - 23*q**3/12 + q**2/2 - q - 363. Solve x(d) = 0.
1/8, 2/5, 1
Let j(o) = 3*o**3 + o**2 + 2*o + 1. Let b(d) = -2*d**3 - 80*d**2 + 34*d - 2. Let g(c) = b(c) + 2*j(c). Suppose g(n) = 0. Calculate n.
0, 1/2, 19
Let d be -25*6/(-45) + 6/(-3). Factor 0 + 0*p + 0*p**2 + 4/3*p**3 + 8/3*p**4 + d*p**5.
4*p**3*(p + 1)**2/3
Let t(z) = -3*z + 1. Let u(n) = 4*n**2 - 136*n + 1592. Let b(c) = 8*t(c) + u(c). Factor b(a).
4*(a - 20)**2
Suppose -66 + 2 - 8*r**4 - 44*r**3 + 71*r + 9*r + 32*r**2 + 4*r**5 = 0. Calculate r.
-2, 1, 4
Let i be (-6)/(-9) - (9/2 + -4). Let k(b) be the second derivative of 0 - 2/3*b**3 + 0*b**2 - i*b**4 + 2*b + 1/10*b**5. Factor k(f).
2*f*(f - 2)*(f + 1)
Let s(m) be the third derivative of -3*m**5/10 - 29*m**4/8 + 5*m**3/2 + 448*m**2. Suppose s(u) = 0. What is u?
-5, 1/6
Let a(u) = u**2 + 11*u + 1. Let w be a(-12). Suppose -7 = 3*t - w. Factor 13*n**4 - 4*n**3 - 7*n**4 + 2*n**t - 4*n**4.
2*n**2*(n - 1)**2
Suppose 0 = 25*a - 113 - 37. Let o(u) be the second derivative of -2/15*u**3 + 1/10*u**4 - 1/75*u**a + 0*u**2 + 0*u**5 + 0 - 2*u. Let o(n) = 0. Calculate n.
-2, 0, 1
Let c be 0 + 0 + (-6 - 1). Let s(x) = -9*x**2 + x + 3. Let h(m) be the first derivative of 2*m**3 - m**2/2 - 2*m - 34. Let p(d) = c*h(d) - 5*s(d). Factor p(k).
(k + 1)*(3*k - 1)
Let y(b) be the first derivative of -b**4/3 - 2*b