 16 - 111*l + 95*l + 0*l**2 + 3*l**3 + 12*l**2.
4*(l - 1)*(l + 1)*(l + 2)**2
Let t be (-7)/161 + (-19)/(-437). Factor 8/9*h**4 + 0*h + 8/9*h**3 + t - 2/3*h**5 + 0*h**2.
-2*h**3*(h - 2)*(3*h + 2)/9
Let q(f) be the first derivative of -2/5*f + 9 - 2/5*f**2 - 2/15*f**3. Find i, given that q(i) = 0.
-1
Let t(y) be the third derivative of y**6/1080 - y**5/120 + y**4/36 + y**3 - 5*y**2. Let v(x) be the first derivative of t(x). Factor v(l).
(l - 2)*(l - 1)/3
Let m(i) be the third derivative of i**7/105 - i**6/10 - 7*i**5/30 - 84*i**2. Factor m(u).
2*u**2*(u - 7)*(u + 1)
Let v(s) be the first derivative of 12*s**2 + 3/4*s**4 - 11 - 12*s - 5*s**3. Let v(n) = 0. Calculate n.
1, 2
Let p(v) be the third derivative of -1/1680*v**7 + 1/8*v**4 + 0 - 15*v**2 - 11/240*v**5 + 1/120*v**6 - 3/16*v**3 + 0*v. Factor p(a).
-(a - 3)**2*(a - 1)**2/8
Let v(h) be the first derivative of h**5/120 - h**4/36 + h**3/36 - 3*h + 8. Let s(i) be the first derivative of v(i). Factor s(g).
g*(g - 1)**2/6
Suppose 5*s = 11*s - 12. Factor -4 - 4*p**3 + 4*p - p**2 - 3*p**s + 8.
-4*(p - 1)*(p + 1)**2
Let a(x) be the second derivative of x**9/11340 + x**8/1680 + x**7/945 + 5*x**4/6 - 8*x. Let i(y) be the third derivative of a(y). Factor i(w).
4*w**2*(w + 1)*(w + 2)/3
Let 2*b**3 - 14*b**3 + 9*b**3 + 4*b**3 + 168 + 48*b**2 + 3*b**3 + 164*b = 0. Calculate b.
-7, -3, -2
Let n(j) be the second derivative of -j**6/30 + 7*j**5/20 - 3*j**4/2 + 10*j**3/3 - 4*j**2 - 3*j - 35. Factor n(r).
-(r - 2)**3*(r - 1)
Let f(m) be the first derivative of -11/2*m**2 + 5 - 3*m**3 - 1/4*m**4 + 1/5*m**5 - 4*m. Factor f(d).
(d - 4)*(d + 1)**3
Factor -49 - g**2 + 14 - g + 29 - 4*g.
-(g + 2)*(g + 3)
Let i(b) be the first derivative of -b**4/5 - 32*b**3/3 - 874*b**2/5 - 2888*b/5 - 155. Solve i(s) = 0 for s.
-19, -2
Let x(t) be the second derivative of -t**5/5 - 45*t**4 - 4050*t**3 - 182250*t**2 - 78*t. Factor x(w).
-4*(w + 45)**3
Suppose 6 = h + 2*q, -2*h - 10*q - 9 = -13*q. Let y(a) = a**3 + a**2 + 3. Let p be y(0). Factor 5/3*n**4 + 0 + 0*n - 5/3*n**2 + h*n**p.
5*n**2*(n - 1)*(n + 1)/3
Let -47/8*q**3 - 23/4*q**2 + 11/2*q + 3/2*q**4 - 1 + 9/8*q**5 = 0. What is q?
-2, 1/3, 2
Let x(i) be the third derivative of -33*i**2 - 11/210*i**5 + 0*i - 1/14*i**4 + 0*i**3 + 0. Factor x(u).
-2*u*(11*u + 6)/7
Suppose 156*d = 149*d. Let o(y) be the second derivative of -2/9*y**4 + 3*y + d*y**2 - 1/5*y**5 + 0 - 1/63*y**7 - 4/45*y**6 - 1/9*y**3. Factor o(l).
-2*l*(l + 1)**4/3
Let s(f) be the first derivative of 2/35*f**5 - 2/7*f**2 + 16 + 0*f**3 - 2/7*f + 1/7*f**4. Factor s(z).
2*(z - 1)*(z + 1)**3/7
Suppose 2*m + 34 = -3*d - 86, -124 = 2*m + 2*d. Let s = -197/3 - m. Find z, given that -s*z**2 - 4/3*z - 1 = 0.
-3, -1
Factor 2/15*u**2 - 116/15 + 38/5*u.
2*(u - 1)*(u + 58)/15
Suppose 6*a + 3*l - 63 = a, 22 = 2*a - 2*l. Let o be ((-27)/(-90))/(a/10). Factor 1/4*n**3 - 1/4 + 1/4*n**2 - o*n.
(n - 1)*(n + 1)**2/4
Let t(h) = -7*h**3 - 21*h**2 + 34*h - 24. Let s(g) = 8*g**3 + 23*g**2 - 34*g + 24. Let b(c) = 6*s(c) + 7*t(c). Solve b(u) = 0 for u.
-12, 1, 2
Let i = -523 - -525. Let j(p) be the first derivative of p**4 - 4/3*p**3 - 1/3*p**6 + 2/5*p**5 - 1 + i*p - p**2. What is f in j(f) = 0?
-1, 1
Let o(a) = -a**3 - a**2 - 5*a. Let k(p) = 12*p**3 + 26*p**2 + 80*p. Let l(v) = -k(v) - 10*o(v). Solve l(b) = 0 for b.
-5, -3, 0
Factor -1/4*a**4 + 13/4*a**2 + 1/4*a**3 - 25/4*a + 3.
-(a - 3)*(a - 1)**2*(a + 4)/4
Let o(h) be the third derivative of h**6/180 + 19*h**5/90 + h**4/2 - 13*h**2 + 3*h. Factor o(i).
2*i*(i + 1)*(i + 18)/3
Let d(l) be the first derivative of -20/3*l**2 + 13 - 5/3*l**4 - 1/36*l**6 + 40/9*l**3 + 1/3*l**5 + 16/3*l. Let d(v) = 0. What is v?
2
Let f(m) be the third derivative of 0*m + 15*m**2 + 0 - 1/8*m**4 + 1/120*m**6 + 0*m**3 + 1/30*m**5. Factor f(z).
z*(z - 1)*(z + 3)
Let o = 2/2123 + 57313/8492. Let r = -235/36 + o. Factor r*i**2 + 2/9 - 4/9*i.
2*(i - 1)**2/9
Let m(w) be the first derivative of -w**8/3920 + w**7/245 - w**6/35 + 4*w**5/35 - 2*w**4/7 - w**3/3 + 23. Let r(j) be the third derivative of m(j). Factor r(z).
-3*(z - 2)**4/7
Suppose 82 - 100 - 7*v**2 - 3*v**3 - 27*v + 72 - 17*v**2 = 0. Calculate v.
-6, -3, 1
Factor -1/5*i**2 + 1/5*i + 0 + i**4 - 2/5*i**5 - 3/5*i**3.
-i*(i - 1)**3*(2*i + 1)/5
Factor 6*l**2 - 2620*l**3 - 15*l + 16*l**2 + 2590*l**3 + 5*l**5 + 18*l**2.
5*l*(l - 1)**3*(l + 3)
Let y be ((-234)/(-52))/(26/4). Let n(k) be the first derivative of y*k**2 - 8/39*k**3 + 1 - 4/13*k. Find b, given that n(b) = 0.
1/4, 2
Let i = -1738 + 1740. Factor 2/5*v**3 + 0 - 4/5*v**i + 2/5*v.
2*v*(v - 1)**2/5
Let d be ((2 + -2)/(-5))/(13 + -14). Suppose 3/2*a**3 + 3/2*a**5 + 0*a - 4*a**4 + d + a**2 = 0. What is a?
-1/3, 0, 1, 2
Let x(k) = -k**2 - 11*k + 126. Let z be x(7). Let a = -23 - -71/3. Factor -a*g + 2/3*g**2 + z.
2*g*(g - 1)/3
Suppose -2*b = -64*b + 310. Determine f so that 47/3*f**4 + 2/3 - 17/3*f - 4*f**b + 17*f**2 - 71/3*f**3 = 0.
1/4, 2/3, 1
Let v(o) be the third derivative of -o**7/30 + o**6/3 - 29*o**5/30 + o**4 - 7*o**3/2 + o**2. Let w(n) be the first derivative of v(n). Factor w(y).
-4*(y - 3)*(y - 1)*(7*y - 2)
Factor 2/7*y**2 - 32/7 - 2/7*y**3 + 32/7*y.
-2*(y - 4)*(y - 1)*(y + 4)/7
Suppose 28 = -5*o + 108. Suppose -3*m + 5*k = o, m + 0*k - 13 = -2*k. Find n, given that -5*n**3 - 3*n**2 + 0*n**3 + 6*n**3 - 1 + m*n = 0.
1
Solve -169*h**2 + 30 - 5*h**3 + 381*h**2 - 182*h**2 - 55*h = 0 for h.
1, 2, 3
Factor -38/3*r - 28 + 2/3*r**2.
2*(r - 21)*(r + 2)/3
Let a(w) be the second derivative of -3*w**2 + 11*w + 0*w**4 + 4/21*w**3 + 0 - 1/210*w**5. Let o(i) be the first derivative of a(i). Factor o(k).
-2*(k - 2)*(k + 2)/7
Let v(c) be the second derivative of c**8/10080 - c**7/378 + 5*c**6/216 + 13*c**4/12 + c - 25. Let t(s) be the third derivative of v(s). What is o in t(o) = 0?
0, 5
Suppose 6 = -u - 2*m + 5, 6 = -2*m. Let i(a) be the first derivative of -1/12*a**4 - u + 0*a**2 + 0*a - 1/9*a**3. Factor i(f).
-f**2*(f + 1)/3
Suppose 0 = 3*x + 18 - 12. Let s(j) = -4*j**2 + 2. Let a(c) = -4*c**2 + 3. Let q(b) = x*a(b) + 3*s(b). Factor q(z).
-4*z**2
Let x(k) = 3*k**2 - 14*k - 115. Let b be x(9). Factor -1/4*s**b - s + 0.
-s*(s + 4)/4
Determine q so that -39*q**3 - 242*q**2 + 50*q**4 + 39*q**3 + 384*q - 138*q**3 - 57 + 18*q**5 - 15 = 0.
-3, 2/9, 1, 2
Let o = -3847 + 34625/9. Factor -2/9 + 2/9*k**2 - 2/9*k**3 + o*k.
-2*(k - 1)**2*(k + 1)/9
Suppose k - 7 = -5*n, -k + 1 = -19*n + 18*n. Factor 1/2*p + 1/2*p**k + 0.
p*(p + 1)/2
Let o(s) = s**2 + 21*s + 42. Suppose -7*u = -4*u + 57. Let x be o(u). Let 7/5*n**2 - 9/5*n**3 - 2/5*n + n**x - 1/5*n**5 + 0 = 0. Calculate n.
0, 1, 2
Let c(z) = z**2 - 4*z + 4. Let r be c(5). Solve 4*k - 31*k + 9*k**2 + 3*k**3 + 38 + r*k**3 - 32 = 0 for k.
-2, 1/4, 1
Let x(t) be the third derivative of -t**8/112 + t**7/35 + 3*t**6/40 - 2*t**5/5 + t**4/2 + 390*t**2. Solve x(k) = 0 for k.
-2, 0, 1, 2
Let m = -55 - 84. Let h = 142 + m. Let 0 + 2/7*a**2 + 2/7*a**4 - 4/7*a**h + 0*a = 0. Calculate a.
0, 1
Let x = 161 - 161. Let y be (-18)/264 - (-1)/4. Factor -y*u**2 + 4/11*u + x - 2/11*u**3.
-2*u*(u - 1)*(u + 2)/11
Suppose -3*x + 34*g = 32*g - 10, -20 = -4*x + 4*g. Factor x*t**4 - 1/3*t**5 + t**3 + 2/3*t**2 + 0*t + 0.
-t**2*(t - 2)*(t + 1)**2/3
Let p(a) = -a**3 + 10*a**2 + 11*a + 6. Let y be p(11). Factor -3*b**4 + 6*b**2 + y*b - 6*b**3 + 4*b**4 - 3*b**2 - 4*b**4.
-3*b*(b - 1)*(b + 1)*(b + 2)
Factor 2/3*u**5 + 16/3 + 2/3*u**3 - 20/3*u**2 + 8/3*u**4 - 8/3*u.
2*(u - 1)**2*(u + 2)**3/3
Let l(d) = -21*d**3 - 41*d**2 + 20. Let f(c) be the first derivative of 43*c**4/4 + 83*c**3/3 - 40*c - 4. Let u(k) = 6*f(k) + 13*l(k). Factor u(p).
-5*(p + 1)*(p + 2)*(3*p - 2)
Let o(w) = -w**2 + 5*w + 1. Let c(r) = -r**2 + 27*r + 4. Let m be c(27). Let a be o(m). Factor -8/7*v**4 + 4/7*v**3 + 0 + 24/7*v**2 - 18/7*v - 2/7*v**a.
-2*v*(v - 1)**2*(v + 3)**2/7
Let l = 116551/5 + -23309. Let 0 - l*f - 3/5*f**4 + 0*f**3 + 9/5*f**2 = 0. Calculate f.
-2, 0, 1
Let b be (2254/(-483))/((-7)/3). Find g, given that 18/5*g**b - 4/5 - 14/5*g = 0.
-2/9, 1
Suppose -8*p + 2*p + 864 = 0. Solve -2*i - i**2 + 135 + 8*i - p = 0 for i.
3
Factor 1/4*q**3 - 31/4*q**2 - 225/4 + 159/4*q.
(q - 25)*(q - 3)**2/4
Let f = -48 + 52. Suppose 2*y = 7*y - f*z + 20, 2*y + 20 = 4*z. Suppose 0 + 1/4*k - 1/4*k**5 + y*k**3 + 1/2*k**4 - 1/2*k**2 = 0. Calculate k.
-1, 0