ond derivative of 5/6*s**3 - 15/4*s**2 + 5/24*s**4 + 5*s + 0. Factor n(l).
5*(l - 1)*(l + 3)/2
Let i(g) = -g**2 + g - 1. Let m(q) = 4*q**2 + 11*q - 1. Let l(a) = i(a) - m(a). Factor l(p).
-5*p*(p + 2)
Let h(d) = 6*d + 17. Let j be h(-2). Suppose -2*q - 5*a = 0, -7*q + 5*q = -j*a. Factor q - 2/15*s**2 + 4/15*s - 2/15*s**3.
-2*s*(s - 1)*(s + 2)/15
Let y(j) be the third derivative of j**5/12 + 35*j**4/4 + 205*j**3/6 + 51*j**2. Let y(k) = 0. Calculate k.
-41, -1
Let p = 1/949891 + 1438133843/1074326721. Let h = p + -2/377. Suppose h + 14/3*t**2 + 6*t = 0. What is t?
-1, -2/7
Suppose -3*z - 2 = -4*f, -2*z - 8*f - 9 = -3*f. Let y be (-44)/(-42) - z/3. Factor -y*j**2 + 3/7 + 9/7*j.
-3*(j - 1)*(4*j + 1)/7
Let i be (-3 + 15)*(2 + 8/(-6)). Let h be (i/4)/((-6)/27*-3). Factor -6*q**h + 0 - 3/2*q**2 + 0*q.
-3*q**2*(4*q + 1)/2
Determine n so that 9*n**4 + 2*n**5 + 6*n**3 + 43*n**3 + 7*n**4 + 34*n - 5*n**3 + 8 + 56*n**2 = 0.
-4, -1
Let z be (-10)/(-8) + (-12)/(-16). Factor 5*x**z - 9*x + 34*x + 15 + 21*x**3 - 12*x**3 - 14*x**3.
-5*(x - 3)*(x + 1)**2
Determine c so that 106/21*c**2 + 50/7*c - 46/21*c**3 + 0 - 2/21*c**4 = 0.
-25, -1, 0, 3
Let s be 1/(2/(-3 - -1)). Let a be (s/5*(-45)/(-6))/(-6). Factor 5/4*f**2 + f**3 + a*f + 0.
f*(f + 1)*(4*f + 1)/4
Let q(s) be the third derivative of -s**8/672 - s**7/140 + s**6/240 + 7*s**5/120 - s**3/3 - 164*s**2. Determine y, given that q(y) = 0.
-2, -1, 1
Let q(a) be the third derivative of 0 + 11*a**2 - 1/30*a**5 - 25/3*a**3 + 0*a - 5/6*a**4. Solve q(f) = 0 for f.
-5
Factor 0*o - 4/7*o**2 + 16/7.
-4*(o - 2)*(o + 2)/7
Suppose 0 = -2*u - 2 + 44. Let x be 2 + (-99)/u + 3. Factor -2/7*z**3 - 2/7 + 2/7*z**2 + x*z.
-2*(z - 1)**2*(z + 1)/7
Let k(r) be the second derivative of -r**7/168 - r**6/24 + 17*r**5/40 - 11*r**4/24 - 11*r**3/8 + 27*r**2/8 - 705*r. Find o such that k(o) = 0.
-9, -1, 1, 3
Let p(m) = m**2 - 11*m + 21. Let t be (-15)/(-5)*(-6)/(-2). Let n be p(t). Factor 2/7*q**2 + 0 - 2/7*q**n + 2/7*q - 2/7*q**4.
-2*q*(q - 1)*(q + 1)**2/7
Let f be (0 + (-7)/(-4))/((-133)/(-38)). Let q = 1 + -1. Solve 1/4*n**5 + f*n**4 + q*n + 0 + 1/4*n**3 + 0*n**2 = 0 for n.
-1, 0
Let n = 3418/3 + -1203. Let f = n - -65. Let 2/3 + 5/3*r - 4/3*r**4 - 1/3*r**5 - f*r**3 + 2/3*r**2 = 0. What is r?
-2, -1, 1
Let q = -216 + 224. Let b(i) be the first derivative of -21/16*i**4 + 1/4*i**3 + 2*i**6 + 0*i + 0*i**2 + 6/5*i**5 + q. Factor b(p).
3*p**2*(p + 1)*(4*p - 1)**2/4
Let q(o) be the third derivative of -o**7/1260 + o**6/40 - 2*o**5/15 + 11*o**4/8 + 41*o**2. Let u(t) be the second derivative of q(t). Let u(k) = 0. What is k?
1, 8
Let t = -4 - -5. Suppose -3*r - t = -19. Let 3*x**5 - 3 + 3*x**4 + 3*x - 5*x**4 - r*x**3 + 6*x**2 - x**4 = 0. Calculate x.
-1, 1
Let b be ((-12)/(-9) - 2)/((-1)/78). Let o = -50 + b. Factor -2/9*x + 4/9*x**3 - 2/9*x**4 - 2/9*x**5 - 2/9 + 4/9*x**o.
-2*(x - 1)**2*(x + 1)**3/9
Let r = -16 - -34. Let c be (16 - r)*6/(-4). Factor -3/2*v**2 + 1/2*v + 3/2*v**c - 1/2*v**4 + 0.
-v*(v - 1)**3/2
Suppose c + 86 = 4*c - 5*y, -8 = 2*y. Let l be -2 + c/6 + 8 + -9. Factor s + 1/3*s**2 + l.
(s + 1)*(s + 2)/3
Let l be 2*(30/4 - 2). Let z = l + -9. Factor 6*f**4 + 7*f**2 - 3 - f**z - 9*f**4.
-3*(f - 1)**2*(f + 1)**2
Let h(g) be the first derivative of -g**3/2 - 3*g**2/4 + 86. Factor h(b).
-3*b*(b + 1)/2
Let n(u) be the first derivative of -u**7/1365 - u**6/780 + u**5/390 + u**4/156 + 19*u**2/2 + 17. Let t(h) be the second derivative of n(h). Factor t(k).
-2*k*(k - 1)*(k + 1)**2/13
Factor 0 - 1/5*k**3 - 66/5*k + 7*k**2.
-k*(k - 33)*(k - 2)/5
Let b(f) be the first derivative of 0*f**4 + 11 + 0*f + 0*f**2 - 5/3*f**3 + f**5. Find n such that b(n) = 0.
-1, 0, 1
Let d = 62 - 194. Let t be d/(-99)*2/4. Factor -t*c - 1/3*c**2 + 1.
-(c - 1)*(c + 3)/3
Let h(y) be the second derivative of 3*y**5/100 - y**4/5 + y**3/10 + 9*y**2/5 - 15*y + 2. Find f, given that h(f) = 0.
-1, 2, 3
Let f(g) be the third derivative of 1/525*g**7 - 1/30*g**4 - 1/75*g**6 + 0*g**3 + 0*g - 13*g**2 + 0 + 1/30*g**5. Factor f(j).
2*j*(j - 2)*(j - 1)**2/5
Suppose 3*n - 1 = -3*o + 8*o, 5*o - 3 = n. Factor 4/3*p**n + p**3 - 2/3 - 1/3*p.
(p + 1)**2*(3*p - 2)/3
Let z = 391/3 + -130. Let y = 2/5 - -4/15. Determine o so that z + 0*o**2 - 1/3*o**4 - 2/3*o + y*o**3 = 0.
-1, 1
Find x, given that -10*x**2 - 417 + 196*x - 567 - 5738 + 9*x**2 - 2882 = 0.
98
Let l(x) = 2*x**3 - 47*x**2 - 49*x. Let y(c) = -25*c**3 + 565*c**2 + 590*c. Let h(z) = 35*l(z) + 3*y(z). Factor h(d).
-5*d*(d - 11)*(d + 1)
Let a(x) = 4*x**2 + 13*x - 5. Let p(v) = -v**2 - 2*v + 1. Let y(d) = 3*a(d) + 15*p(d). Factor y(g).
-3*g*(g - 3)
Let 27 + 0 - 17*j**2 + 18*j**2 - 28*j = 0. Calculate j.
1, 27
Let r(o) = 14*o - 238. Let i be r(17). Let b(k) be the second derivative of -1/48*k**4 + i + 8*k + 1/12*k**3 + 0*k**2. Factor b(m).
-m*(m - 2)/4
Factor -88/7 + 40/7*d + 2/7*d**2.
2*(d - 2)*(d + 22)/7
Let n(k) be the first derivative of 16/5*k - 56/5*k**2 + 5 + 196/15*k**3. Factor n(x).
4*(7*x - 2)**2/5
Let m(r) = 5*r**2 + 170*r + 3. Let q be m(-34). Factor -l**2 + 1/3*l**4 + 5/3*l - 1/3*l**q - 2/3.
(l - 1)**3*(l + 2)/3
Let v(a) be the first derivative of 2*a**3/33 + 261*a**2/11 + 520*a/11 - 397. Factor v(r).
2*(r + 1)*(r + 260)/11
Let z = -21757/10 + 10886/5. Factor -z*d**2 - 6 - 15/2*d.
-3*(d + 1)*(d + 4)/2
Find m such that 8*m**2 - 6*m + 2*m**3 - 27758*m**5 - 10*m**4 + 27762*m**5 + m**4 + 1 = 0.
-1, 1/4, 1
Let q(g) be the first derivative of 4/3*g - 26/9*g**3 + 11/3*g**2 - 6. Find b, given that q(b) = 0.
-2/13, 1
Let a(n) be the third derivative of 1/24*n**4 + 0 + 0*n**3 + 0*n + 1/120*n**5 + 15*n**2. Factor a(c).
c*(c + 2)/2
Let v(r) = -6*r**2 - 41*r - 7. Let n(q) = q**2 + 7*q + 1. Suppose -8*d - 286 = -14. Let t(u) = d*n(u) - 6*v(u). Solve t(h) = 0 for h.
-2
Suppose -4*r - 71 = -5*k, -5*k + 5*r + 43 = -32. Suppose k = -2*s + 35. Factor 4*v**3 + s*v**2 + 2 - 12*v + 24*v + 2.
4*(v + 1)**3
Let o = 11 - 10. Let t(f) = 4*f**3 - 2*f + 1. Let h be t(o). Factor 8*u**h - 6*u**3 - 5*u**3 - 3*u**2.
-3*u**2*(u + 1)
Factor -10*z**3 + 25/4*z**2 + 0*z + 4*z**4 + 0.
z**2*(4*z - 5)**2/4
Let x(w) be the second derivative of 0 - 1/30*w**4 + 0*w**3 + 3/50*w**5 + 0*w**2 + 35*w. Factor x(u).
2*u**2*(3*u - 1)/5
Let u(z) be the first derivative of z**6/6 - 2*z**5/5 - 9*z**4/2 - 32*z**3/3 - 23*z**2/2 - 6*z - 159. Solve u(s) = 0 for s.
-1, 6
Factor 884*m**2 - 64 + 773*m - 1129*m**2 - 1197*m**2 - 1474*m**2 + 91*m.
-4*(27*m - 4)**2
Let g = -90/67 + 986/335. Factor 0 - 1/5*f - 13/5*f**3 - 6/5*f**4 - g*f**2.
-f*(f + 1)**2*(6*f + 1)/5
Suppose 2*s - 9 = -s. Let r(f) = 13*f + 17. Let i be r(-1). Factor -2/3*d**i + 0*d + 2/3*d**s + 0*d**2 + 0.
-2*d**3*(d - 1)/3
Factor 1/5*h**2 - 2/5 - 1/5*h.
(h - 2)*(h + 1)/5
Let n = -195 - -199. Let a be (-3 + n - -3) + -4. Let -q**5 - 8/5*q**4 + 0*q + 4/5*q**3 + a*q**2 + 0 = 0. What is q?
-2, 0, 2/5
Let p = -5/653 + 1331/3265. Factor 4/5 - 6/5*n + p*n**2.
2*(n - 2)*(n - 1)/5
Let 269*l**2 - 507*l - 141*l**2 + 25*l**3 + 50*l**3 - 557*l**2 - 3*l**4 = 0. What is l?
-1, 0, 13
Let 0 - 2/23*j**4 + 2/23*j**2 - 72/23*j**3 + 72/23*j = 0. Calculate j.
-36, -1, 0, 1
Factor 8*t**2 + 94190*t - 94500*t - 3*t**2.
5*t*(t - 62)
Let t(p) be the second derivative of 40/3*p**3 - 6*p + 7/5*p**5 - 16*p**2 - 2/15*p**6 - 6*p**4 + 0. Factor t(b).
-4*(b - 2)**3*(b - 1)
Let c(n) be the first derivative of 5*n**3/3 - 35*n**2/2 + 30*n - 68. Determine u, given that c(u) = 0.
1, 6
Let u(j) be the third derivative of j**8/112 + j**7/175 - 3*j**6/10 + 14*j**5/25 + 4*j**4/5 - 60*j**2. Solve u(z) = 0 for z.
-4, -2/5, 0, 2
Suppose -10 = -5*u, -3*u - 2 = -w + 1. Factor 3*j - 3*j**2 + 0*j - w*j - 6 + 3.
-3*(j + 1)**2
Let w(t) = -t**4 - t + 1. Let c(j) = -4*j**5 - 50*j**4 - 266*j**3 - 568*j**2 - 476*j - 132. Let s(n) = -c(n) - 4*w(n). Factor s(o).
2*(o + 1)*(o + 4)**3*(2*o + 1)
Let b(c) be the second derivative of 0 + 0*c**2 - 25*c + 1/6*c**4 + c**3 + 1/45*c**6 - 1/6*c**5. Suppose b(h) = 0. Calculate h.
-1, 0, 3
Let 0 - 100/3*b + 180*b**2 - 68*b**3 + 20/3*b**4 = 0. Calculate b.
0, 1/5, 5
Let z = -12/64585 + 54446103/5102215. Let u = z - 1/237. Suppose 8/3*d - u*d**2 + 0 + 34/3*d**3 - 10/3*d**4 = 0. Calculate d.
0, 2/5, 1, 2
Let m be (32/720)/((-1)/((-5)/(-9)) + 2). Determine a, given that 8/9*a - 16/9 + 4/3*a**2 - m*a**4 - 2/9*a**3 = 0.
-2, 1, 2
Let n(l) = -8