ative of o(f). Factor s(i).
(i - 3)*(i - 1)/4
Let w = -3023/2 - -1513. Find n such that 3/8*n**2 - w*n + 3/2 = 0.
2
Let l(m) be the third derivative of -m**8/448 + m**7/140 + m**6/160 - m**5/40 + 3*m**2 - 6*m. Suppose l(t) = 0. What is t?
-1, 0, 1, 2
Suppose -6 = -3*l + 2*l. Let 32*f - 12*f**2 - 15*f - l*f**4 - 12*f - f**5 - 13*f**3 - 9*f = 0. What is f?
-2, -1, 0
Let f be (1 + (1 - 0))*7/(-14). Let b be (4/(-15))/((10/25)/f). Factor 4/3*j**2 - b*j**5 + 0*j + 8/3*j**4 + 0 - 10/3*j**3.
-2*j**2*(j - 2)*(j - 1)**2/3
Let f = -58 - -68. Let v be 2/(-4)*(-5)/f. Factor -1/2*n**2 + v*n + 0.
-n*(2*n - 1)/4
Let b = -3/56 - 61/56. Let t = b + 65/14. Factor 2*f**2 - t*f - 1.
(f - 2)*(4*f + 1)/2
Let b(l) be the second derivative of l**5/10 + 2*l**4 + 16*l**3 + 64*l**2 + 496*l. Factor b(x).
2*(x + 4)**3
Let a = -4110 + 4110. Factor 1/2*r**3 + 1/2*r**2 - 1/2*r - 1/2*r**4 + a.
-r*(r - 1)**2*(r + 1)/2
Factor 684/7*h - 2523/7*h**3 + 24/7 + 4698/7*h**2.
-3*(h - 2)*(29*h + 2)**2/7
Let j(t) be the second derivative of t**7/4410 + t**6/2520 + 7*t**4/6 + 4*t. Let s(c) be the third derivative of j(c). Factor s(d).
2*d*(2*d + 1)/7
Let a(p) be the third derivative of -5*p**8/224 - 10*p**7/63 - 35*p**6/72 - 5*p**5/6 - 125*p**4/144 - 5*p**3/9 - 46*p**2 - 2*p. Factor a(u).
-5*(u + 1)**4*(9*u + 4)/6
Factor -30 - 1/5*r**3 - 16/5*r**2 - 17*r.
-(r + 5)**2*(r + 6)/5
Let r be 6/(-14) - 2664/(-2590). Solve 3/5*f**2 + r*f**3 + 9/5 - 3*f = 0.
-3, 1
Let q(w) be the first derivative of -w**6/24 - w**5/10 + 7*w**4/8 - 2*w**3/3 - 13*w**2/8 + 5*w/2 - 174. Let q(m) = 0. Calculate m.
-5, -1, 1, 2
Let j(d) be the third derivative of d**7/70 - d**5/5 + 12*d**2 - 1. Solve j(k) = 0.
-2, 0, 2
Factor -31232/15*d + 8/15*d**5 - 5344/3*d**2 - 8192/15 + 5762/15*d**3 - 376/15*d**4.
2*(d - 16)**3*(2*d + 1)**2/15
Let t(f) = -f**3 - 13*f**2 - 24*f - 15. Let z be t(-11). Suppose z*q = 8*q - 2. Factor 1/2*g**3 + 0 - 3/2*g**4 + 0*g + g**q.
-g**2*(g - 1)*(3*g + 2)/2
Let h(g) be the third derivative of g**9/40320 - g**8/6720 - g**7/840 + g**6/60 + 11*g**5/20 - 26*g**2. Let a(i) be the third derivative of h(i). Factor a(z).
3*(z - 2)**2*(z + 2)/2
Let h be 32/24 + (-4)/(-6). Factor 8*w**3 + w**4 - w**3 + w**3 + 17*w**2 - w**h.
w**2*(w + 4)**2
Suppose 0*m - 2/3*m**4 + 0*m**3 + 2/3*m**2 + 0 = 0. What is m?
-1, 0, 1
Let a be -4*(5 - (-104)/(-20)). Let t(m) be the second derivative of 2*m - a*m**5 + 8/15*m**6 + 1/6*m**3 + 0*m**2 + 0 - 1/12*m**4. Let t(q) = 0. What is q?
-1/4, 0, 1/4, 1
Factor -694*t**2 + 694*t**2 + 3*t**3 - 3*t.
3*t*(t - 1)*(t + 1)
Let h(f) be the first derivative of 0*f + 4/33*f**3 - 1/22*f**4 + 7 + 0*f**2. Factor h(s).
-2*s**2*(s - 2)/11
Let h(x) be the second derivative of 0 - x + 50/7*x**2 + 20/21*x**3 + 1/21*x**4. Solve h(k) = 0.
-5
Let u(o) = -12*o - 104. Let m = -97 + 88. Let r be u(m). Factor 4/3 + 6*x**2 + 2/3*x**r + 10/3*x**3 + 14/3*x.
2*(x + 1)**3*(x + 2)/3
Let s be 4/(-2) + 5 + 2. Suppose 3*h - 21 = 4*o, -s*o - 30 = -5*h - 0*h. Find v, given that -v - 7*v + 2 + 17*v**4 + v**4 + 24*v**h - 4*v**2 = 0.
-1, 1/3
Let b = -184 - -3681/20. Let f(g) be the third derivative of 0 + 4*g**2 - b*g**5 + 0*g + 0*g**3 - 3/8*g**4. Determine x, given that f(x) = 0.
-3, 0
Let l(b) be the second derivative of -3*b**5/70 - 55*b**4/42 - 87*b**3/7 - 81*b**2/7 + 7*b - 5. Determine k, given that l(k) = 0.
-9, -1/3
Let v(x) be the second derivative of x**5/4 - 5*x**4/3 - 95*x**3/6 - 35*x**2 - 213*x. Factor v(c).
5*(c - 7)*(c + 1)*(c + 2)
Let u(f) = f**3 + 10*f**2 - 2*f - 2. Let b be u(-7). Let y = b - 155. Find j such that -11/3*j - 14/3*j**2 + 4/3*j**3 - 2/3 + 16/3*j**y + 7/3*j**5 = 0.
-1, -2/7, 1
Let w = -2233 + 2237. Determine v so that 7/2*v**3 + 0*v**4 - w - 1/2*v**5 + v**2 - 6*v = 0.
-2, -1, 2
Let o be (1/2)/((-92)/(-368)). Factor 1/6*a**o - 1/6*a**3 - 2 + 4/3*a.
-(a - 2)**2*(a + 3)/6
Let f(a) be the second derivative of -a**9/15120 + a**8/2240 - a**6/180 + 5*a**4/6 + 10*a. Let g(j) be the third derivative of f(j). What is b in g(b) = 0?
-1, 0, 2
Find z such that 357*z + z**2 + 380 - 62*z**2 - 9*z**2 - 4*z**3 + 10*z**2 - 33*z = 0.
-19, -1, 5
Let d(b) be the third derivative of b**8/2856 - 13*b**7/1785 + 11*b**6/340 - 31*b**5/510 + 5*b**4/102 - 3*b**2 - 60. What is j in d(j) = 0?
0, 1, 10
Let s = -28 + 23. Let q(t) = 5*t**4 + 7*t**3 + 7*t**2 + t. Let i(w) = 6*w**4 + 8*w**3 + 8*w**2 + w. Let m(x) = s*q(x) + 4*i(x). Factor m(z).
-z*(z + 1)**3
Let t(n) be the second derivative of -n**6/75 + n**5/50 + 7*n**4/30 - n**3/15 - 6*n**2/5 - 28*n. Let t(u) = 0. What is u?
-2, -1, 1, 3
Let w be 8/(-142)*(-6)/(-12). Let l = w - -221/284. Factor -1/4*a**4 + l*a**3 - 1/4*a**2 - 3/4*a + 1/2.
-(a - 2)*(a - 1)**2*(a + 1)/4
Let o(u) = 90*u - 540. Let h(s) = s**2 - 96*s + 540. Let i(k) = 5*h(k) + 6*o(k). Solve i(d) = 0 for d.
-18, 6
Suppose -8*z - 14*z = -110. Let k be (-1)/2 - 29/(-2). Find u such that -5*u**3 - 7*u**3 - u**4 - k*u + 15 - 12 + 2*u**z + 25*u**2 - 3*u**2 = 0.
-3, 1/2, 1
Suppose 5*p**4 + 2278*p**2 + 40*p**3 + 0*p**4 + 1954*p**2 + 144*p**3 - 3*p**4 = 0. Calculate p.
-46, 0
Let z(p) be the third derivative of -2*p**5/75 + 13*p**4/180 - p**3/45 - 43*p**2 - 1. Solve z(d) = 0 for d.
1/12, 1
Factor -28 - 5*r**2 + 80*r - 17 - 53 - 42.
-5*(r - 14)*(r - 2)
Factor -8/7*o + 40/7 + 2/7*o**3 - 10/7*o**2.
2*(o - 5)*(o - 2)*(o + 2)/7
Let h(r) be the second derivative of r**7/42 - r**6/30 - 3*r**5/20 + r**4/12 + r**3/3 + 2*r + 9. Determine j so that h(j) = 0.
-1, 0, 1, 2
Factor -24*p**3 - 20*p**3 - 48*p**2 - 66*p**4 + 70*p**4.
4*p**2*(p - 12)*(p + 1)
Let v(t) be the second derivative of -3*t**2 - 3/20*t**5 + t - t**4 + 0 - 5/2*t**3. Factor v(r).
-3*(r + 1)**2*(r + 2)
Let n(f) be the first derivative of -f**3/8 - 99*f**2/16 - 197. Determine j, given that n(j) = 0.
-33, 0
Suppose 0 = 4*h + h + 20. Let u be h + 4 + (1 - -1). Factor -1 - 3*j**3 - 3*j - 2*j**2 + u*j**3 - j**2.
-(j + 1)**3
Factor -5/3*o - 1/6*o**2 - 4/3 + 1/6*o**3.
(o - 4)*(o + 1)*(o + 2)/6
Let j(w) be the third derivative of -w**8/168 + 9*w**7/140 - 13*w**6/240 - 43*w**5/40 + 89*w**4/48 + 5*w**3/2 - 2*w**2 + 1. Find k such that j(k) = 0.
-2, -1/4, 1, 3, 5
Let p = -58 - -51. Let m be -3 + (0 - p/2). Factor -m*r**3 + 1/8*r**4 + 1/8 + 3/4*r**2 - 1/2*r.
(r - 1)**4/8
Let t(o) be the third derivative of -o**8/1680 + o**7/630 + 5*o**4/12 + 3*o**2. Let z(j) be the second derivative of t(j). Factor z(a).
-4*a**2*(a - 1)
Factor 2/7*s**2 - 176/7 + 12*s.
2*(s - 2)*(s + 44)/7
Suppose 2*g - 3 = 3. Suppose -n + g = -3. Suppose 4*o**2 - n*o + 1 + 2*o - 5 + 0*o**2 + 4*o**3 = 0. Calculate o.
-1, 1
Let z be (2/(-3))/(52/(-39)). Let l(u) be the first derivative of -2/15*u**5 + 4 + 4/3*u - 2/9*u**3 + z*u**4 - u**2. Find w, given that l(w) = 0.
-1, 1, 2
Let x(p) = p**3 + 8*p**2 - p - 3. Let a be x(-8). Let t be (-8)/(-7)*112/32. Factor -2/7*s**3 + 2/7*s**a + 0*s - 2/7*s**2 + 2/7*s**t + 0.
2*s**2*(s - 1)*(s + 1)**2/7
Let c(i) be the third derivative of i**6/120 + 7*i**5/60 + 5*i**4/12 - 24*i**2 - 2*i. Factor c(v).
v*(v + 2)*(v + 5)
Let i(h) be the second derivative of -1/21*h**2 + 1/126*h**4 + 1/63*h**3 - 10*h - 1/210*h**5 + 0. What is p in i(p) = 0?
-1, 1
Factor 54/17*y**2 + 50/17*y + 16/17*y**3 + 12/17.
2*(y + 1)*(y + 2)*(8*y + 3)/17
Let t = -1857 + 1857. Let i(s) be the third derivative of t*s**3 + 1/36*s**4 + 0*s + 0 + 13*s**2 - 1/30*s**5. Determine m, given that i(m) = 0.
0, 1/3
Suppose 12*r - 377*r**3 - 12*r**2 + 374*r**3 + 2*r**4 + r**4 = 0. Calculate r.
-2, 0, 1, 2
Suppose -499125 - 55*n**2 - 9075*n - 1/9*n**3 = 0. Calculate n.
-165
Factor -v**5 - 7*v**4 - 2*v**5 - 12*v**4 + 12*v**3 + 25*v**4 - 24*v**2.
-3*v**2*(v - 2)**2*(v + 2)
Suppose 14*s - 9*s - 5*d = -15, 2*s + 11 = 3*d. Let t(h) be the first derivative of 0*h + 0*h**s + 6 + 4/15*h**3 + 1/5*h**4. Let t(f) = 0. Calculate f.
-1, 0
Let k(p) be the first derivative of -p**6/72 + p**5/4 - 15*p**4/8 - 8*p**3 + 30. Let h(o) be the third derivative of k(o). Factor h(d).
-5*(d - 3)**2
Suppose 0 = 5*o - 5 - 0. Let y(w) = 7*w**3 - w**2 + 4*w - 4. Let k be y(o). Factor -k*z**2 + 3/2*z**5 + 6*z + 3*z**4 - 9/2*z**3 + 0.
3*z*(z - 1)**2*(z + 2)**2/2
Suppose 75*v - 23 = 127. Let w(o) be the first derivative of 2/39*o**3 - 2/65*o**5 + 0*o**v + 1/39*o**6 + 0*o - 1/26*o**4 + 11. Factor w(u).
2*u**2*(u - 1)**2*(u + 1)/13
Determine h, given