 = 7*b**5 + 5*b**4 - 11*b**3 - b**2 - 2*b - 4. Let f(o) = -6*i(o) - 5*j(o). Find v, given that f(v) = 0.
-2, -1, 1, 2
Let u be 19/(-228) + 49/12. Factor 0 - 1/2*i**u + 0*i**2 + 0*i - 5/2*i**3.
-i**3*(i + 5)/2
Let q be (-1 + -5)*(-6)/(-4). Let w be (18/(-27))/(2/q). Factor -p**3 - 2*p**4 - 2*p**2 + 0*p**2 - w*p**3.
-2*p**2*(p + 1)**2
Let p(n) = n**2 + 10*n - 18. Let j(z) = 2*z**2 + 9*z - 17. Let o(a) = 2*j(a) - 3*p(a). Let h be o(10). Factor -1/2*c + 2/3*c**2 + h - 1/6*c**3.
-c*(c - 3)*(c - 1)/6
Suppose -41*i + 44*i - 37 = -5*a, -3*i + 12 = 0. Factor -4/3*t**3 + 0 + 1/2*t**4 - 2/3*t**2 + 3/2*t**a + 0*t.
t**2*(t - 1)*(3*t + 2)**2/6
Let t(z) be the first derivative of 17 + 3/5*z + 3/5*z**2 + 1/5*z**3. Factor t(d).
3*(d + 1)**2/5
Let a(v) be the second derivative of v**9/22680 - v**8/20160 - v**7/3780 + v**6/2160 + 3*v**4/2 + 18*v. Let c(q) be the third derivative of a(q). Factor c(o).
o*(o - 1)*(o + 1)*(2*o - 1)/3
Let p(h) be the second derivative of -h**6/150 - h**5/5 - 13*h**4/10 + 22*h**3/3 - 121*h**2/10 - 6*h + 2. Factor p(t).
-(t - 1)**2*(t + 11)**2/5
Factor -75/4*h + 3/4*h**2 + 0.
3*h*(h - 25)/4
Let q = -193297/55 - -17577/5. Determine z so that -2/11*z**3 - 6/11*z + 18/11 - q*z**2 = 0.
-3, 1
Let o(d) be the first derivative of -d**4/4 + 3*d**3 - 12*d**2 - 7*d - 24. Let c(p) be the first derivative of o(p). Factor c(h).
-3*(h - 4)*(h - 2)
Factor -61*y + 187*y + 12*y**2 + 826*y - 640.
4*(y + 80)*(3*y - 2)
Let k = 260 - 188. Let w = -69 + k. Factor 8*b - 4 + 2*b**w - 1/4*b**4 - 6*b**2.
-(b - 2)**4/4
Let l(r) be the second derivative of -5*r**4/3 - 26*r**3 - 56*r**2 + 63*r. Suppose l(d) = 0. What is d?
-7, -4/5
Let y(o) be the second derivative of -o**6/85 - 7*o**5/170 - o**4/34 + o**3/17 + 2*o**2/17 - 482*o. Factor y(z).
-2*(z + 1)**3*(3*z - 2)/17
Let q(c) be the first derivative of -c**6/54 + 2*c**5/45 + c**4/12 - 8*c**3/27 + 2*c**2/9 + 50. Determine z, given that q(z) = 0.
-2, 0, 1, 2
Let v be (2/5)/(5/150). Let c be v/(-54)*-3 + 20/(-39). Let c*h**2 + 0*h + 0 = 0. What is h?
0
Let h(k) be the first derivative of k**4/20 - 16*k**3/15 + 3*k**2/2 + 228. Determine i, given that h(i) = 0.
0, 1, 15
Let p(n) be the first derivative of 0*n**2 + 3*n**4 - 8/3*n**3 - 14 - 4/5*n**5 + 0*n. Solve p(d) = 0.
0, 1, 2
Let j(c) be the first derivative of 1/3*c**3 + 0*c - 1/6*c**6 + 3/5*c**5 + 0*c**2 + 33 - 3/4*c**4. Determine l, given that j(l) = 0.
0, 1
Let w(b) = 3*b - 70. Let x be w(24). Factor -8/5*t - 2/5*t**x - 6/5.
-2*(t + 1)*(t + 3)/5
Let b(c) be the second derivative of -1/10*c**2 - 1/210*c**7 + 0 - 1/150*c**6 + 1/30*c**4 + 1/50*c**5 - 1/30*c**3 + 8*c. Let b(u) = 0. Calculate u.
-1, 1
Let y = -21274 - -21276. Factor -5/6*p**3 + 13/3*p + 4/3 + 13/6*p**y.
-(p - 4)*(p + 1)*(5*p + 2)/6
Solve -15*h**3 + 24*h**2 - 263*h**4 + 134*h**4 + 132*h**4 - 12*h = 0.
0, 1, 2
Solve 255*j**3 + 176*j**2 + 15*j**2 + 22 + 18 + 15*j**5 + 100*j**4 + 180*j + 119*j**2 = 0.
-2, -1, -2/3
Suppose 26 = s - 2*o, 0*o - 26 = -s - 5*o. Let d = s + -22. Find t, given that 0*t**3 - 6*t**3 - 6*t**d + 3*t**4 = 0.
-2, 0
Suppose -y + 1 = 0, d - 33 = 5*y - 38. Determine f, given that f**3 - 4/3*f + 0*f**2 + d + 1/3*f**4 = 0.
-2, 0, 1
Let k(j) be the first derivative of -j**3/12 - j**2/2 + 3*j - 52. Factor k(u).
-(u - 2)*(u + 6)/4
Let n(j) be the first derivative of 25*j**6/39 + 48*j**5/13 + 92*j**4/13 + 64*j**3/13 + 16*j**2/13 - 66. Factor n(a).
2*a*(a + 2)**2*(5*a + 2)**2/13
Let h(s) = s**3 + 4*s**2 - 3*s - 12. Suppose -4*m + 20 = -9*m. Let r be h(m). Factor 2/7*p - 2/7*p**4 + r - 6/7*p**2 + 6/7*p**3.
-2*p*(p - 1)**3/7
Let b(m) = -24 + 12 + 22 + 3 - 2*m - 8*m**2. Let h(a) = -a**2 + 3*a + 1. Let n be h(2). Let k(o) = 23*o**2 + 7*o - 38. Let l(v) = n*k(v) + 8*b(v). Factor l(w).
5*(w - 1)*(w + 2)
Let n(p) = p**5 - p**3 - p**2 - p - 1. Let a(m) = -42*m**4 - 14*m**3 + 22*m**2 - 2*m - 18. Let s(r) = 2*a(r) - 36*n(r). Determine o so that s(o) = 0.
-2, -2/3, 0, 1
Let 0*b - 38/3*b**3 + 22*b**4 - 6*b**5 + 0 + 2*b**2 = 0. What is b?
0, 1/3, 3
Determine o so that 129*o - 138*o**2 + 51*o**3 + 30 - 62 - 6*o**4 - 4 = 0.
1/2, 1, 3, 4
Let k = 71 - 211/3. Let s(r) be the first derivative of -1/9*r**3 + k*r - 2 - 1/6*r**2. Factor s(p).
-(p - 1)*(p + 2)/3
Let o(x) be the second derivative of x**4/12 + x**3/6 + x**2/2 + x. Let f(j) = 14 - 12 - 5*j**2 - 3 - 4 - 4*j. Let t(z) = f(z) + 6*o(z). What is u in t(u) = 0?
-1
Let j(x) be the second derivative of x**4/20 + 6*x**3 + 270*x**2 + 224*x. Determine v so that j(v) = 0.
-30
Let -125*k**2 - 121*k**2 - 124*k**2 + 440*k + 365*k**2 - 435 = 0. What is k?
1, 87
Let y = -78 + 117. Suppose 3*c - 4*c + 5 = 0. Factor 3*m**c + y*m**3 - 4 - 2 - 6*m**2 + 12*m**4 - 15*m - 27*m**3.
3*(m - 1)*(m + 1)**3*(m + 2)
Factor -4*y**2 + 1/2*y**3 - 5 + 17/2*y.
(y - 5)*(y - 2)*(y - 1)/2
Factor 4/13*i**3 + 4/13*i**2 - 2/13*i**4 - 2/13 - 2/13*i**5 - 2/13*i.
-2*(i - 1)**2*(i + 1)**3/13
Let a(n) be the second derivative of n**4/48 - 41*n**3/12 - 83*n**2/8 + 213*n. Factor a(b).
(b - 83)*(b + 1)/4
What is a in 540/7*a**3 + 1458000/7*a + 2/7*a**4 + 0 + 48600/7*a**2 = 0?
-90, 0
Suppose 1 = -4*r + 4*z + 13, -4*z = r + 2. Factor 4*k**4 + 3886*k**3 - 3*k**r + k**5 - 3881*k**3 + 5*k**2.
k**2*(k + 1)**2*(k + 2)
Let c(i) be the second derivative of i**6/1260 + i**5/420 + i**3/2 - 8*i. Let z(j) be the second derivative of c(j). Factor z(m).
2*m*(m + 1)/7
Let d(a) be the third derivative of -a**7/42 - a**6/4 - a**5/12 + 5*a**4 - 40*a**3/3 - 120*a**2. Find r such that d(r) = 0.
-4, 1
Find c, given that 45/7*c + 3/7*c**2 + 108/7 = 0.
-12, -3
Let i(w) = -505*w**2 - 12170*w - 69325. Let v(g) = -42*g**2 - 1014*g - 5777. Let j(x) = 3*i(x) - 35*v(x). Factor j(l).
-5*(3*l + 34)**2
Let j = -8 + 10. Find l, given that l**4 + 10*l**j - 11*l**2 + l**3 + 0*l**3 + 0*l**3 - l**5 = 0.
-1, 0, 1
Let u(x) be the first derivative of 9*x**4 - 17*x**3/3 - 25*x**2/2 + 6*x - 421. Let u(w) = 0. Calculate w.
-3/4, 2/9, 1
Let u(g) = -5 + g**3 + 7*g**2 + 6 - 5 + 2*g. Let f(v) = v**2 - 1. Let d(a) = -4*f(a) + u(a). Factor d(m).
m*(m + 1)*(m + 2)
Let u(s) be the third derivative of 1/3024*s**8 + 0*s + 1/180*s**6 + 1/135*s**5 + 1/216*s**4 + 0 + 0*s**3 + 2/945*s**7 - 12*s**2. Factor u(h).
h*(h + 1)**4/9
Let q(m) be the third derivative of -m**8/5040 - m**7/315 - m**5/10 - 13*m**2. Let v(n) be the third derivative of q(n). Factor v(p).
-4*p*(p + 4)
Suppose 216 = 106*n + 2*n. Factor -1/4*j - 3/4 + 3/4*j**n + 1/4*j**3.
(j - 1)*(j + 1)*(j + 3)/4
Let s be 5*(0 - 42/(-10)). Suppose 2*y = 5*y + s. Let g(r) = r**2 - 6*r + 5. Let o(v) = 2*v**2 - 12*v + 11. Let l(k) = y*g(k) + 4*o(k). Solve l(c) = 0 for c.
3
Find s, given that -134 - 133 + 201 - 237*s - 21*s**2 = 0.
-11, -2/7
Let g be (-28)/351 + 10/65*1. Let o(b) be the first derivative of 1/27*b**6 + 0*b - 5 - g*b**3 + 2/45*b**5 - 1/6*b**4 + 2/9*b**2. Determine n so that o(n) = 0.
-2, -1, 0, 1
Let s(g) be the first derivative of 4*g**3/3 + 220*g**2/7 - 128*g/7 - 107. Let s(q) = 0. Calculate q.
-16, 2/7
Let m(b) be the third derivative of 7*b**5/30 - 11*b**4/12 + 4*b**3/3 + 162*b**2. Solve m(w) = 0.
4/7, 1
Suppose 13*q = q. Let o(g) be the second derivative of 1/11*g**2 - 1/66*g**4 + 3*g + q*g**3 + 0. Factor o(x).
-2*(x - 1)*(x + 1)/11
Let v(w) = 152*w + 610. Let g be v(-4). Factor -81/2 - 1/2*x**g - 9*x.
-(x + 9)**2/2
Let i be 0*2/12*3 - 0. Let q = -17 + 19. Factor -2/3*c**q + 0*c + 1/3*c**3 + i.
c**2*(c - 2)/3
Solve 25*n**2 + n**3 + 21*n**2 + 23*n**2 - 2*n - 70*n**2 = 0.
-1, 0, 2
Let a be (-8 + 28/(-96)*-28)*4. Find v such that 7/3*v**3 + 0 - 3*v**2 + a*v = 0.
0, 2/7, 1
Let c = -12 + 16. Factor -8*q**3 + 4*q**2 - 16*q**2 - 12*q**2 + 12*q**5 - 2*q + 4 - 2*q + 20*q**c.
4*(q - 1)*(q + 1)**3*(3*q - 1)
Let o(f) be the first derivative of f**7/210 - 2*f**6/45 + 2*f**5/15 - 2*f**3/3 + 17. Let k(m) be the third derivative of o(m). Solve k(r) = 0 for r.
0, 2
Let x(m) be the second derivative of -m**5/12 - 13*m**4/18 - 22*m**3/9 - 4*m**2 - 425*m. Suppose x(i) = 0. What is i?
-2, -6/5
Let s(t) = t - 5. Let b = -99 - -104. Let p be s(b). Factor p + 15/4*n**2 - 3*n**3 - 3/4*n.
-3*n*(n - 1)*(4*n - 1)/4
Let m be (-10 - 0) + 3507/350. Let t(q) be the second derivative of -4/5*q**2 - 6*q + 0*q**3 + 0 + 1/10*q**4 + m*q**5. Factor t(n).
2*(n - 1)*(n + 2)**2/5
Let -40*j**4 - 3*j**5 - 73*j**3 - 2*j**5 + 13*