*w. Factor a(v).
2*(v - 5)**2/7
Factor -84 + 23*d - 76*d - 2*d**2 - d**2 + 5*d.
-3*(d + 2)*(d + 14)
Let p(m) be the third derivative of m**6/160 - 23*m**5/40 - 47*m**4/32 - 5*m**2 + 8*m. Factor p(c).
3*c*(c - 47)*(c + 1)/4
Let c be 16/40 - -1*(-6)/(-10). Suppose 4*r - 11 = -4*m + c, 0 = r + 5*m - 3. Factor 1/2*h**r + 1/4*h**2 + 1/4*h**4 + 0 + 0*h.
h**2*(h + 1)**2/4
Find g such that -51*g**3 + 70*g**5 - 15*g**2 - 11*g**2 - 24*g**4 - 39*g**5 - 30*g**5 = 0.
-1, 0, 26
Let x be 0/(657/146*(-8)/(-18)). Find l such that -10*l**2 + 5/2*l**4 + 4*l + x - l**5 + 3*l**3 = 0.
-2, 0, 1/2, 2
Let g(d) = -60*d**3 + 1165*d**2 + 7110*d + 5760. Let j(v) = -5*v**3 + 97*v**2 + 592*v + 480. Let c(l) = 2*g(l) - 25*j(l). Factor c(y).
5*(y - 24)*(y + 1)*(y + 4)
Let a(u) be the second derivative of 0 + 0*u**2 - 1/6*u**4 - 36*u + 1/90*u**5 + 8/27*u**3. Factor a(s).
2*s*(s - 8)*(s - 1)/9
Suppose 2*q = 5*a + 5, -5*q + 5*a = a - 4. Solve 0*r - 1/2*r**4 + q*r**3 + 1/2*r**2 + 0 = 0 for r.
-1, 0, 1
Let l be (-9)/99 + 15351/66. Let f = l + -232. Determine z, given that 3/2*z**2 - f*z**3 + 0*z + 0 = 0.
0, 3
Let u(t) be the first derivative of -t**4/16 - 2*t**3/3 + 259*t**2/8 - 539*t/2 - 770. Factor u(b).
-(b - 7)**2*(b + 22)/4
Let p(z) = 301*z + 605. Let o be p(-2). Factor -3/4*g**3 + 15/4*g**2 - 6*g + o.
-3*(g - 2)**2*(g - 1)/4
Let z(g) = g**2 - 3*g - 86. Let w be z(11). Let l(y) be the first derivative of -2/3*y**3 - 2 - 8/3*y - 8/3*y**w. Find a, given that l(a) = 0.
-2, -2/3
Let o = -126 + 126. Let k(p) be the second derivative of 0*p**3 - 1/30*p**4 + 0*p**2 - p + o. Find r, given that k(r) = 0.
0
Let c(n) = 8*n**3 - 26*n**2 - 84*n + 30. Let z(b) = b**3 - 4*b**2 - 12*b + 4. Let q(h) = -4*c(h) + 30*z(h). Solve q(f) = 0.
-6, -2, 0
What is u in -1/2*u**4 - 100*u - 70*u**2 + 0 - 11*u**3 = 0?
-10, -2, 0
Let l(v) = -61*v**4 - 19*v**3 + 20*v**2 - 11*v - 22. Let i(m) = 12*m**4 + 4*m**3 - 4*m**2 + 2*m + 4. Let b(n) = -22*i(n) - 4*l(n). Factor b(y).
-4*y**2*(y + 1)*(5*y - 2)
Suppose 17*n - 56 = -11*n. Let 0*j - 1/10*j**n + 1/10 = 0. What is j?
-1, 1
Let v be (-2)/5 - (-2102)/30. Let b = v + -69. Factor 0*q + 2/3*q**3 + 0 + b*q**2.
2*q**2*(q + 1)/3
Let r(a) = -a**2 - 2*a + 11. Let k be r(-4). Find b such that 2*b**k + 6 - 4 + b + 5*b + 6*b**2 = 0.
-1
Let b(h) = 9*h**2 - 28*h - 154. Let i be b(6). Factor -2/9*n**4 + 2/9 - 4/9*n**3 + 4/9*n + 0*n**i.
-2*(n - 1)*(n + 1)**3/9
Let k(j) be the third derivative of -2*j**7/105 + 29*j**6/15 - 841*j**5/15 + 171*j**2 - 2. Factor k(w).
-4*w**2*(w - 29)**2
Let r(n) = n**2 - n. Suppose 15 = -3*q + 8*q. Let d be r(q). Factor -69*v**3 - 39*v + 0 + 6 + 8*v**4 + 7*v**4 + d*v**4 + 81*v**2.
3*(v - 1)**3*(7*v - 2)
Let k(o) be the first derivative of 15*o**4/4 - 87*o**3 + 171*o**2 - 96*o - 37. Suppose k(m) = 0. What is m?
2/5, 1, 16
Factor -12*w**2 - 20*w**2 - 21*w**3 + 65*w**3 - 16*w**2 + 4*w**4.
4*w**2*(w - 1)*(w + 12)
Let f be (7 + -8)/(1/(-4)). Suppose -5*y = -3*i - 11, f*y - 2*i = 5 + 5. Factor 5*v**y + 6*v - 14*v**2 - 15*v**3 + v**4 + 17*v**2.
3*v*(v - 2)*(v - 1)*(2*v + 1)
Let l(h) = -8*h**2 - 25*h + 68. Let t(d) = -d**2 + 7*d + 1. Let b(g) = l(g) - 5*t(g). Find s such that b(s) = 0.
-21, 1
Let p be (1 + -2 + 10)*(-2)/(-9). Determine v so that -v**p + 9*v**4 - 4*v - 7*v**2 + 9*v**3 - 2*v**3 - 4*v**4 = 0.
-2, -2/5, 0, 1
Let h(p) = p**4 + p**2 - p - 2. Let b(r) = r**4 + 5*r**3 - 29*r**2 + 19*r + 8. Let c(l) = -b(l) - 4*h(l). Factor c(n).
-5*n*(n - 1)**2*(n + 3)
Let t(s) be the second derivative of -s**4/24 - 19*s**3/12 - 17*s**2/2 + 24*s. Let t(c) = 0. What is c?
-17, -2
What is z in -7 - 6 - 27*z**5 + 46*z**5 - 3 + 240*z**4 + 8*z + 35*z**5 + 358*z**3 + 196*z**2 = 0?
-2, -1, -2/3, 2/9
Let a(h) = -h**5 - 3*h**4 - 5*h**3 + 3*h**2 + 6*h - 4. Let q(d) = d**5 + 3*d**4 + 6*d**3 - 3*d**2 - 7*d + 5. Let c(i) = 5*a(i) + 4*q(i). Factor c(m).
-m*(m - 1)*(m + 1)**2*(m + 2)
Suppose 2*r + 1047 = 6*r - i, -2*r - 3*i + 527 = 0. Let v = r + -1307/5. Factor 0*s + 3/5*s**2 - v.
3*(s - 1)*(s + 1)/5
Suppose 0 = 5*d - 2*d. Suppose 0 = -d*q + 2*q + z + 5, -3*q + 5*z = -25. Determine n, given that n**3 + q*n**3 - 2*n + n + 0*n**3 = 0.
-1, 0, 1
Let v(u) be the second derivative of 0 + 0*u**2 - 18*u - 2/45*u**6 + 1/63*u**7 + 0*u**4 + 0*u**3 + 0*u**5. What is q in v(q) = 0?
0, 2
Let r(n) be the second derivative of 12*n - 1/18*n**3 + 0*n**2 + 0 + 1/36*n**4. Factor r(h).
h*(h - 1)/3
Let s(o) be the second derivative of -3*o**7/56 - 23*o**6/40 - 51*o**5/20 - 6*o**4 - 8*o**3 - 6*o**2 + 51*o. Let s(j) = 0. Calculate j.
-2, -1, -2/3
Let s(j) be the first derivative of -j**6/10 + 9*j**5/25 + 21*j**4/20 - 11*j**3/5 - 9*j**2/5 + 24*j/5 - 223. Solve s(p) = 0.
-2, -1, 1, 4
Let p(b) be the second derivative of -b**5/50 + b**4/10 - b**3/5 + b**2/5 + 15*b + 2. Factor p(d).
-2*(d - 1)**3/5
Let f = 405/3224 - -7/248. Find w such that -12/13 + f*w + 2/13*w**2 = 0.
-3, 2
Let f be 1*(2/(-6)*3 - -4). Let c(o) be the third derivative of f*o**2 + 1/40*o**5 - 3/16*o**4 + 0*o + 3/4*o**3 - 1/720*o**6 + 0. Factor c(r).
-(r - 3)**3/6
Suppose 3*q - 12 = -3. Let r(v) = 3*v - 4*v + q*v**3 + 7 + 0*v + 9*v**2. Let l(k) = -k**3 - 3*k**2 - 2. Let i(n) = 14*l(n) + 4*r(n). Factor i(w).
-2*w*(w + 1)*(w + 2)
Solve -1 - 5/3*k + 1/3*k**3 - 1/3*k**2 = 0.
-1, 3
Let h(g) be the third derivative of 1/12*g**4 + 27*g**2 + 0*g + 0 - 1/210*g**5 - 2/7*g**3. Factor h(m).
-2*(m - 6)*(m - 1)/7
Let f(j) be the first derivative of -8/15*j**3 + 16 - 16/5*j**4 - 49/15*j**6 + 0*j - 154/25*j**5 + 0*j**2. Suppose f(g) = 0. Calculate g.
-1, -2/7, 0
Let f(n) = -3*n**4 - 36*n**3 - 21*n**2 + 99*n + 57. Let l(a) = -a**4 - 9*a**3 - 5*a**2 + 25*a + 14. Let j(p) = -4*f(p) + 15*l(p). Factor j(s).
-3*(s - 3)*(s - 2)*(s + 1)**2
Let h(j) = -7*j + 9*j**2 - 8*j**2 - 25 + 4*j - 1. Let k be h(7). Find x such that 16/5*x**k + 0*x**3 + 0*x - 4/5*x**4 + 0 = 0.
-2, 0, 2
Let p(o) be the third derivative of o**5/60 + 31*o**4/4 + 2883*o**3/2 - 2*o**2 + 283*o. Solve p(f) = 0.
-93
Factor -2*m**2 + m**2 - 65*m + 62*m + 0*m**2.
-m*(m + 3)
Let a be (-28 - -35) + -1*3. Let t be (-40)/12*((-36)/(-10) - a). Find p, given that -t*p**2 + p**3 + 0 + 1/3*p = 0.
0, 1/3, 1
Let z be (-4 + -3 + 9)*4/24. Find i, given that -1/3*i**4 + 0*i - 1/9*i**2 + z*i**3 + 1/9*i**5 + 0 = 0.
0, 1
Let f(p) = 2*p**2 - 4*p - 4. Let w be f(3). Factor -4 + 13*n - 2*n**4 + n + 10*n**3 + 6*n**2 - 14*n**w - 10*n**2.
-2*(n - 2)*(n - 1)**3
Let x(d) be the first derivative of d**7/2520 + d**6/180 - 7*d**5/360 - 4*d**3 - 10. Let z(s) be the third derivative of x(s). What is i in z(i) = 0?
-7, 0, 1
Let k(m) = -1. Let o(c) = -169*c**4 - 494*c**3 - 517*c**2 - 228*c - 40. Let v(r) = 4*k(r) - o(r). Factor v(l).
(l + 1)**2*(13*l + 6)**2
Let l(t) be the second derivative of t**6/15 - 3*t**5/11 + 13*t**4/66 + 2*t**3/11 + 11*t + 3. Suppose l(n) = 0. Calculate n.
-3/11, 0, 1, 2
Let a = 4 + -19. Let f be 40/(a/(-3)) + 4. Factor 43 + 4*k + f*k**2 + 4*k**4 + 12*k**3 - 43.
4*k*(k + 1)**3
Let g(u) = -3*u + 2. Let o be g(-3). Let s = o - 9. Factor -y**2 + 6 - y**s + 5*y**2 - 9*y.
3*(y - 2)*(y - 1)
Let a(w) be the second derivative of 3/10*w**2 + 0 - 3/50*w**6 - 1/70*w**7 + 12*w + 3/10*w**3 + 1/10*w**4 - 3/50*w**5. Solve a(p) = 0 for p.
-1, 1
Suppose 0 = 5*b - a + 6, 2*a = 3*b - 0*a + 5. Let j be 15/((-5)/1)*b. Factor -3/5*k + 0*k**2 + 0 + 3/5*k**j.
3*k*(k - 1)*(k + 1)/5
Suppose 4*k**5 + 2/3*k**2 + 0*k + 0 - 2/3*k**4 - 4*k**3 = 0. What is k?
-1, 0, 1/6, 1
Let y(v) be the third derivative of -v**10/302400 + v**8/13440 - v**7/5040 + v**5/30 - 9*v**2. Let t(k) be the third derivative of y(k). Factor t(z).
-z*(z - 1)**2*(z + 2)/2
Let y(p) = 21*p**4 + 8*p**3 - 2*p**2 - 3*p. Let w(r) = r**4 + r. Let z = 121 - 122. Let s(v) = z*y(v) - 3*w(v). Factor s(f).
-2*f**2*(2*f + 1)*(6*f - 1)
Let p(a) = -5*a + 27. Let j be p(5). Factor -21*s**3 - s + 24 - 18*s**j + 36*s**3 - 3*s**4 - 11*s.
-3*(s - 2)**3*(s + 1)
Let r be 115/55 - (-2)/(-2). Let h = 1113/11 - 101. Determine i, given that 18/11 + h*i**2 - r*i = 0.
3
Let q(l) be the third derivative of l**8/224 - 23*l**7/420 + 23*l**6/120 - l**5/4 - l**4/48 + 5*l**3/12 + 2*l**2 - 150. Find v such that q(v) = 0.
-1/3, 1, 5
Let j(c) = c - 3. Let v be j(5). Factor -v*k**3 - 5*k - 9*k**2 + 13*k + 0*k**3 + k**2 + 2*k**4.
2*k*(k - 2)*(k - 1)*(k + 2)
Let m(f) be the first derivative of 8/5*f 