tive of 0*l**2 - 2/25*l**5 - 1/20*l**4 - 1/30*l**6 - 17 + 0*l**3 + 0*l. Factor m(q).
-q**3*(q + 1)**2/5
Let b(v) be the third derivative of 1/12*v**3 - v**2 - 1/120*v**5 + 0*v + 0*v**4 - 4. What is f in b(f) = 0?
-1, 1
Let z(u) be the second derivative of -u**9/84 + u**8/210 + 4*u**3/3 - 8*u. Let g(l) be the second derivative of z(l). Solve g(j) = 0.
0, 2/9
Factor 54 - 88 + 3*b**3 + b**4 - 7*b - 3*b**2 + 40.
(b - 1)**2*(b + 2)*(b + 3)
Let v be (-30)/(-225)*-3 + 29/60. Let a(z) be the first derivative of -v*z**3 - z**2 - 4*z + 5. Determine u so that a(u) = 0.
-4
Suppose -3*u = -u - 2. Let y(h) = 4*h**4 + 5*h**3 - h**2 - h. Let m(b) = b**3 - b**2 - b. Let x(j) = u*y(j) - m(j). Let x(z) = 0. Calculate z.
-1, 0
Let g be 704/3465 - ((-2)/5)/(-2). Let v(p) be the third derivative of 0 + 0*p**3 + 1/36*p**4 + 0*p + 1/60*p**6 + 1/30*p**5 + g*p**7 - 3*p**2. Factor v(l).
2*l*(l + 1)**3/3
Let x = -1544 - -1547. Factor -2*d**2 + d - d**x + 3/2*d**4 + 1/2.
(d - 1)**2*(d + 1)*(3*d + 1)/2
Let z(n) be the third derivative of -n**5/4 + n**4/6 + n**2. Let j(b) = -5*b**2 + b. Let h(r) = 11*j(r) - 4*z(r). Factor h(y).
5*y*(y - 1)
Factor -213*k**3 - 6099 - k**4 + 18*k**3 - 11446*k**2 - 22260*k - 16*k**3 - k**3 - 4926.
-(k + 1)**2*(k + 105)**2
Suppose 0 = 2*c - c - 3. Find a, given that 0*a**3 - 10*a**4 + 11*a**4 - a**c = 0.
0, 1
Let q(y) be the third derivative of 1/8*y**3 + 13*y**2 + 3/80*y**5 - 1/8*y**4 + 0*y + 0. Solve q(r) = 0.
1/3, 1
Let m(b) be the first derivative of -1/4*b**4 + 1/2*b**2 - 2/5*b**5 + 47 + 2/3*b**3 + 0*b. Factor m(c).
-c*(c - 1)*(c + 1)*(2*c + 1)
Let q(s) be the first derivative of 14 - 5/3*s**3 + 1/2*s + 5/4*s**4 - 1/4*s**2 - 3/4*s**6 + 9/10*s**5. Find d such that q(d) = 0.
-1, -1/3, 1/3, 1
Solve 5/2*q**4 + 0 + 9*q**3 + 5*q - 33/2*q**2 = 0.
-5, 0, 2/5, 1
Let s(r) be the third derivative of 0*r**3 + 0 - 7*r**2 + 0*r + 1/120*r**5 + 1/320*r**6 + 1/192*r**4. Determine m so that s(m) = 0.
-1, -1/3, 0
Let b(u) = -8*u**3 + 32*u**2 + 29*u - 134. Let i(r) = -12*r**3 + 48*r**2 + 44*r - 200. Let n(o) = 8*b(o) - 5*i(o). Factor n(a).
-4*(a - 3)**2*(a + 2)
Let r(k) be the first derivative of -k**4/8 - 7*k**3/6 - 15*k**2/4 - 9*k/2 + 95. Factor r(j).
-(j + 1)*(j + 3)**2/2
Suppose -5*i = -20 + 5. Factor -18*m**2 + 2*m - m**3 + m**3 + 25*m + 3*m**i.
3*m*(m - 3)**2
Suppose 0 = -31*a + 88 - 26. Factor 0 - 4/5*m**a + 4/5*m.
-4*m*(m - 1)/5
Factor 2/19*p**5 - 34704/19*p**2 - 27648/19 + 58752/19*p - 148/19*p**4 + 3746/19*p**3.
2*(p - 24)**3*(p - 1)**2/19
Let o = 60503/5 + -12100. Factor -9/5*g + o*g**3 + 6/5 + 0*g**2.
3*(g - 1)**2*(g + 2)/5
Factor 115 - 3*u**3 + 3*u + 0*u**3 - 79 - 36*u**2.
-3*(u - 1)*(u + 1)*(u + 12)
Let z(v) be the first derivative of -8*v**5/65 - 9*v**4/26 + 4*v**3/3 - 9*v**2/13 - 8*v/13 + 32. What is t in z(t) = 0?
-4, -1/4, 1
Let m(o) be the second derivative of 1/6*o**3 + 1/12*o**4 + 0 + 5*o - 3*o**2. Factor m(k).
(k - 2)*(k + 3)
Let q(f) = -f**3 - 10*f**2 - 13*f - 4. Let a(t) = t**3 + 9*t**2 + 12*t + 4. Let h(n) = 5*a(n) + 4*q(n). Factor h(w).
(w + 1)*(w + 2)**2
Let c(w) be the first derivative of -w**6/12 + 31*w**5/5 - 120*w**4 - 31*w**3/3 + 961*w**2/4 + 388. Find v such that c(v) = 0.
-1, 0, 1, 31
Let o(n) be the third derivative of -n**6/180 + 13*n**5/90 + n**4/36 - 13*n**3/9 - 95*n**2 + 2. Determine a, given that o(a) = 0.
-1, 1, 13
Let s(c) be the first derivative of -c**6/4 - 3*c**5/5 + 3*c**4/8 + c**3 + 84. Solve s(g) = 0.
-2, -1, 0, 1
Let v(h) be the third derivative of -h**5/120 + 11*h**4/48 - 2*h**3 - 2*h**2 + 22. Factor v(i).
-(i - 8)*(i - 3)/2
Let n = 120 - 116. Let g(b) be the second derivative of 0*b**2 + 0 - 4*b - 1/9*b**3 - 1/18*b**n. Let g(h) = 0. What is h?
-1, 0
Let m(n) be the first derivative of -n**3 - 51*n**2/2 - 126*n - 295. Factor m(j).
-3*(j + 3)*(j + 14)
Let v = 9593/51 - 1305/17. Let f = -110 + v. Factor f*s**4 + 8/3*s**2 + 0 + 2/3*s + 10/3*s**3.
2*s*(s + 1)**2*(2*s + 1)/3
Let i(k) be the second derivative of k**5/20 - 55*k**4/12 + 364*k**3/3 + 392*k**2 - 220*k. Suppose i(q) = 0. What is q?
-1, 28
Suppose -6 = -4*t - 2*y - 0*y, 3*t - 2*y = -6. Let m(k) be the first derivative of -2*k**2 + 3 + t*k - 2/5*k**5 + 0*k**4 + 2*k**3. Factor m(o).
-2*o*(o - 1)**2*(o + 2)
Let b(w) be the first derivative of -w**6/21 + 4*w**5/35 + 15*w**4/14 - 64*w**3/21 + 16*w**2/7 + 168. Find z such that b(z) = 0.
-4, 0, 1, 4
Let v(a) = a**2 + a - 1. Let y(h) be the second derivative of -1/12*h**4 + 0 + 5*h**2 + 1/3*h**3 + 1/20*h**5 - 4*h. Let n(t) = 6*v(t) + y(t). Factor n(l).
(l + 1)*(l + 2)**2
Suppose 15*y + 16 - 7 - 7*y - 3 + 2*y**2 = 0. What is y?
-3, -1
Suppose 1 = 2*p - 7. Factor -5 - p*d**2 + 4*d + 5 - 4*d**3 + 0*d**2 + 4.
-4*(d - 1)*(d + 1)**2
Let s(u) = 2*u + 2 + 0 - 3 + u**2. Let c(z) = -z**3 - z. Let j be (-9)/27 - (-8)/6. Let v(n) = j*s(n) + c(n). Factor v(a).
-(a - 1)**2*(a + 1)
Factor 14/17*d**4 + 2/17*d**5 + 32/17*d**3 + 16/17*d**2 - 32/17 - 32/17*d.
2*(d - 1)*(d + 2)**4/17
Suppose -3*h - 11*s + 6*s = -26, 2*s - 8 = 0. Factor 37*k - 7*k**2 + 5*k**2 + 35*k - h*k**2 - 324.
-4*(k - 9)**2
Suppose -2*v - 88 + 92 = 0. Let n(z) be the second derivative of 0 + 1/3*z**3 + 3/4*z**2 + 1/24*z**4 - v*z. Factor n(u).
(u + 1)*(u + 3)/2
Let k(z) be the third derivative of -13*z**5/240 + 131*z**4/96 - 5*z**3/12 + 719*z**2. Factor k(i).
-(i - 10)*(13*i - 1)/4
Find j, given that 9881 - 9881 - 3*j**4 - j**5 - 2*j**3 = 0.
-2, -1, 0
Let t(k) be the second derivative of k**6/60 - 17*k**5/40 - 136*k. Factor t(r).
r**3*(r - 17)/2
Let w = -10 + 14. Let k(g) = -g**3 + 4*g**2 + g - 1. Let h be k(w). Factor -6*d + 8*d**2 - 2*d**2 - h*d**2.
3*d*(d - 2)
Let n = 63 + -62. Let u be (-4 - (-10 + 3))/n. What is k in 104*k**u - 20*k**4 - 624/5*k - 144/5 - 436/5*k**2 = 0?
-2/5, 3
Let o(s) be the second derivative of s**5/210 + 17*s**4/252 - 2*s**3/21 - 15*s**2/2 - 10*s. Let n(k) be the first derivative of o(k). Factor n(t).
2*(t + 6)*(3*t - 1)/21
Let t(r) be the second derivative of -r**7/14 - 7*r**6/40 + 2*r**5/5 + r**4/2 + 45*r**2/2 - 28*r. Let y(v) be the first derivative of t(v). Factor y(q).
-3*q*(q - 1)*(q + 2)*(5*q + 2)
Let s(f) be the second derivative of -f**7/840 - f**6/120 - f**5/60 + f**3/3 + 7*f. Let v(r) be the second derivative of s(r). Factor v(d).
-d*(d + 1)*(d + 2)
Suppose -4*z + 13 = 3*k, 11*z - 17 = 8*z + 5*k. Let y(o) be the third derivative of 0*o**z + 1/30*o**5 + 0*o + 0 + 8*o**2 - 1/3*o**3. Let y(q) = 0. What is q?
-1, 1
Factor -1/6*d**4 + 1/3*d**3 - 1/3*d - 1/2 + 2/3*d**2.
-(d - 3)*(d - 1)*(d + 1)**2/6
Let c(x) be the first derivative of x**5/15 + x**4/3 - 5*x**3/9 + 75. Determine i, given that c(i) = 0.
-5, 0, 1
Let v(l) be the first derivative of l**4/12 - l**3/3 + l**2/3 + 91. Solve v(z) = 0.
0, 1, 2
Suppose -36 - 152/3*f**2 + 16/3*f**3 + 4/3*f**4 + 80*f = 0. What is f?
-9, 1, 3
Find i, given that -3/4*i**4 + 27/4*i**2 + 81/4*i - 9/4*i**3 + 0 = 0.
-3, 0, 3
Suppose 8 = 4*p, -37 = -2*w - 3*p + 101. Factor -4*q**5 + 0*q**3 - w*q**4 + 74*q**4 - 4*q**3.
-4*q**3*(q - 1)**2
Solve 639*p**3 - 136 - 396*p**2 + 404*p + 3*p**4 - 515*p**3 + p**4 = 0.
-34, 1
Let j(k) be the third derivative of -k**7/1155 + k**6/220 + 2*k**5/165 - 91*k**2 + 2. Find h, given that j(h) = 0.
-1, 0, 4
Factor 0 + 1/4*x**3 + 0*x**2 - 1/4*x.
x*(x - 1)*(x + 1)/4
Let o = 3 + -1. Suppose -i + o = -0. Determine h so that 2*h**2 - h**i - 5*h**2 - 8*h = 0.
-2, 0
Let j = 158 - 3631/23. Let y = j - -19/207. Factor 8/9*l + 0 + y*l**3 - 8/9*l**2.
2*l*(l - 2)**2/9
Let v(h) = h**5 + h**4 - 12*h**3 + 20*h**2 - 10*h - 3. Let j(c) = 2*c**5 + 2*c**4 - 25*c**3 + 41*c**2 - 20*c - 5. Let y(b) = 3*j(b) - 5*v(b). Factor y(s).
s*(s - 2)*(s - 1)**2*(s + 5)
Let s be (-2*(-16)/(-4))/(-2). Suppose 7*g - s = 5*g. Factor 2*x + x**g + 2*x + 1 - 2*x.
(x + 1)**2
Suppose 14*s + 350 = 4*s. Let y = 176/5 + s. Factor -2/5*j**3 + 0*j**2 + 0 + 1/5*j**5 + y*j + 0*j**4.
j*(j - 1)**2*(j + 1)**2/5
Let x(f) = 3*f**2 + 4*f. Let v(m) = 7*m**2 + 9*m + 7. Let u(b) = -1. Let o(h) = -21*u(h) - 3*v(h). Let a(c) = 2*o(c) + 15*x(c). Solve a(k) = 0 for k.
-2, 0
Let o(p) = 5*p**2 - 172*p + 326. Let h be o(2). Factor -15/2 - 9/4*j + 3/4*j**h.
3*(j - 5)*(j + 2)/4
Solve -9/2*h + 15/2*h**2 + 3/2*h**4 + 1 - 11/2*h**3 = 0 for h.
2/3, 1
Find v such that 12*v**3 + 103*v**4 + 5*v**5 + 17*v**3 - 29*v**3 + 32*v**4 = 0.
-27, 0
Le