(o - 2)*(o + 29)/5
Let l(w) be the second derivative of -w**6/5 - 9*w**5/4 - 5*w**4/4 + 15*w**3/2 + 21*w**2/2 - 113*w. Let l(n) = 0. Calculate n.
-7, -1, -1/2, 1
Let t be 16 + -8 - (117/13 - 6). Factor -o + 1/2*o**t + 0 + 1/2*o**3 - 3/2*o**4 + 3/2*o**2.
o*(o - 2)*(o - 1)**2*(o + 1)/2
Let s(o) = 3*o**2 - 2*o - 18. Let j be s(14). Factor 12 + j*n**2 - 508*n**2 - 14*n**3 + 2*n**4 - 20*n - 14*n.
2*(n - 3)*(n - 2)*(n - 1)**2
Solve -162 + 162 + 17*q**3 - 7*q**3 - 4*q**2 = 0 for q.
0, 2/5
Suppose -19*m = -10 - 47. Factor 1/2*d**2 - 1/2*d**m + 1/2*d - 1/2.
-(d - 1)**2*(d + 1)/2
Let t(d) = -d**3 + d**2 - 1. Let r(n) = 16*n**3 + 28*n**2 + 198*n - 228. Let b(m) = -2*r(m) - 28*t(m). Determine l, given that b(l) = 0.
-11, 1
Let g(t) = -7*t**5 - 47*t**4 + 520*t**2 - 242*t - 722. Let c(f) = f**5 + f**4 + f + 1. Let s(z) = 2*c(z) + g(z). What is w in s(w) = 0?
-6, -1, 2
Let w(c) be the second derivative of c**6/510 + c**5/170 - c**4/68 - 2*c**3/51 - 23*c**2/2 - 2*c + 19. Let r(t) be the first derivative of w(t). Factor r(g).
2*(g - 1)*(g + 2)*(2*g + 1)/17
Suppose -3*h - 4*n = 329 - 350, -3*h - 3*n = -18. Let w(o) be the first derivative of 0*o + 10 - o**2 + 2/3*o**h. Let w(j) = 0. Calculate j.
0, 1
Suppose 5 + 4 = -4*d - 3*y, -6 = 5*d + 2*y. Suppose d = 10*a - 21 + 1. Solve 3/5*v**a + 0*v + 0 = 0.
0
Let f(a) = a**3 - 5*a**2 + 7*a - 9. Let l be f(3). Let n be 14/l + 2 - 10/(-30). Factor 0 - 2/5*b**3 + n*b - 2/5*b**2.
-2*b**2*(b + 1)/5
Let d(r) be the second derivative of r**10/136080 - r**9/68040 + 7*r**4/4 - 24*r. Let k(v) be the third derivative of d(v). Solve k(n) = 0 for n.
0, 1
Suppose 0*s - g - 59 = -2*s, -3*s = -2*g - 91. Solve 3*c - 3*c**3 - s*c**2 + 27*c**2 = 0.
-1, 0, 1
Let q(p) be the second derivative of 7*p - 4*p**2 - 1/15*p**5 - 7/9*p**4 + 26/9*p**3 + 0 + 2/45*p**6. Suppose q(v) = 0. What is v?
-3, 1, 2
Suppose 2*r + 3*r - 15 = 0. Suppose -r*d + 6*d - 6 = -3*w, -3*w - 2*d + 10 = 0. Factor 3*g - 2*g**3 + 4*g**3 - 5*g**3 - 6 + w*g**2.
-3*(g - 2)*(g - 1)*(g + 1)
Let x = 49/20 - 6/5. Let r be (-10)/4 + -8 + 129/12. Factor -1/2 - v**2 - r*v**3 - x*v.
-(v + 1)**2*(v + 2)/4
Let v = -174/5 + 1571/45. Factor v*c**3 - 1/9*c**2 + 0*c + 1/9*c**4 - 1/9*c**5 + 0.
-c**2*(c - 1)**2*(c + 1)/9
Suppose 0*r + 6*r = 12. Find f, given that -205*f**3 + 11*f**2 + 4*f**2 + 62*f**r + 13*f**2 - 105*f**4 + 40 + 180*f = 0.
-2, -2/3, -2/7, 1
Determine c, given that 10*c**4 + 270*c**2 + 6*c**4 - 312*c - 15*c**4 - 28*c**3 + 729 - 660*c = 0.
1, 9
Suppose -4*d = -2*a + 40, -7*a - 60 = -11*a + 3*d. Suppose 5*p + 7 = 2, 0 = -2*x + 4*p + a. Factor -2/5*q**2 + 0 - 4/5*q**3 + 0*q - 2/5*q**x.
-2*q**2*(q + 1)**2/5
Suppose f - 9 = -8. Let q(h) = 6*h. Let b be q(f). Suppose 2*g**4 - 5*g**2 - 3*g**4 + b*g**2 = 0. What is g?
-1, 0, 1
Let x be (-8 - 0) + (49 - 41). Factor x*j + 2/17 - 2/17*j**2.
-2*(j - 1)*(j + 1)/17
Factor 28*i - 1/8*i**2 - 1568.
-(i - 112)**2/8
Let b(z) be the second derivative of z**5/40 + 47*z**4/4 + 2209*z**3 + 207646*z**2 - 25*z - 8. Factor b(g).
(g + 94)**3/2
Let m = 19 - 26. Let i(w) = -w**2 + w - 5. Let h(j) = -3. Let q(v) = m*h(v) + 3*i(v). Factor q(r).
-3*(r - 2)*(r + 1)
Let j = -2615 - -5235/2. Let z = -1/6 + 2/3. Factor 1 + z*y**3 - j*y - 1/2*y**4 + 3/2*y**2.
-(y - 1)**3*(y + 2)/2
Let 0 + 480*q + 63/2*q**3 + 216*q**2 + 3/2*q**4 = 0. Calculate q.
-8, -5, 0
Let b(p) be the third derivative of p**7/105 - p**6/60 - p**5/15 - 47*p**2. Factor b(c).
2*c**2*(c - 2)*(c + 1)
Let u(q) = 2*q**2 - 3*q - 2. Let k(r) = 4*r**2 - 5*r - 4. Let w = 7 - 4. Suppose -w*m - 5 = -14. Let p(n) = m*k(n) - 5*u(n). Factor p(i).
2*(i - 1)*(i + 1)
Let v(a) be the second derivative of -a**4/8 - 5*a**3/12 - a**2/2 + 2*a - 49. Factor v(f).
-(f + 1)*(3*f + 2)/2
Let m = 63 + -60. Let -16 - 56*k**2 - 46*k**2 - 64*k + 20*k**2 + 14*k**2 - 20*k**m = 0. Calculate k.
-2, -1, -2/5
Let 0 - 9/10*p - 7/10*p**3 + 1/10*p**4 - 17/10*p**2 = 0. Calculate p.
-1, 0, 9
Factor -2*i**2 + 427*i + 14102 - 3*i**2 - 42982 + 48*i + 285*i.
-5*(i - 76)**2
Let u(a) be the third derivative of -a**5/150 + 7*a**4/15 - 2*a**2 - 115. Find w such that u(w) = 0.
0, 28
Let z(c) be the first derivative of 0*c**4 - 3*c**3 - 3*c**2 + 3/5*c**5 - 8 + 0*c. Factor z(u).
3*u*(u - 2)*(u + 1)**2
Let k(t) be the first derivative of -2*t**5/55 - t**4/22 - 63. Factor k(z).
-2*z**3*(z + 1)/11
Let -r**3 - 5*r**4 + 5*r**2 - 42*r + 102*r - 50*r - 9*r**3 = 0. What is r?
-2, -1, 0, 1
Let n(b) = -25*b**2 + 26*b - 9. Let z(t) = -t. Suppose -6 = 5*j - 1. Let m(l) = j*n(l) + 4*z(l). Factor m(d).
(5*d - 3)**2
Let r(n) = 5*n**2 + 54*n + 49. Let x(m) = -45*m**2 - 485*m - 440. Let y(o) = o**3 - 5*o**2 + o + 9. Let c be y(3). Let f(p) = c*x(p) - 55*r(p). Factor f(l).
-5*(l + 1)*(l + 11)
Let w(y) be the second derivative of y**8/1260 + y**7/180 + y**6/90 - y**3/3 - y. Let s(f) be the second derivative of w(f). Factor s(a).
2*a**2*(a + 2)*(2*a + 3)/3
Let n = 17005 + -17003. Factor -39*s + 507/2 + 3/2*s**n.
3*(s - 13)**2/2
Let s = -821 + 825. Let d(w) be the third derivative of 0 + 1/20*w**5 - 3/8*w**s - 5*w**2 + w**3 + 0*w. Find t, given that d(t) = 0.
1, 2
Let p(s) = 8*s**2 - 78*s - 26. Let x(m) = 24*m**2 - 234*m - 80. Let k(i) = 10*p(i) - 3*x(i). Determine b so that k(b) = 0.
-1/4, 10
Suppose 3*s**2 + 3/2*s - 5 + 1/2*s**3 = 0. Calculate s.
-5, -2, 1
Let k(r) = -r**4 - r**3 + r**2 + r - 1. Let m(p) = p + 2*p + 19*p**3 - 12 + 5*p - 43*p**3 - 16*p**4. Let c(i) = -12*k(i) + m(i). Factor c(w).
-4*w*(w + 1)**3
Factor 1682*r**3 - 4176/7*r**2 - 4/7 + 246/7*r.
2*(7*r - 2)*(29*r - 1)**2/7
Let r(g) be the third derivative of g**7/14 + 3*g**6/5 - 33*g**5/4 + 53*g**4/2 - 18*g**3 - 4*g**2 + 22*g. Let r(q) = 0. What is q?
-9, 1/5, 2
Suppose 0 = -3*b + g + 10, -2*b + g + 6 = 0. Let 2*s**4 - 24*s**3 - 521*s**2 + 7*s**b + 533*s**2 = 0. What is s?
0, 2/3, 2
Factor -2*g + g**3 - 3/2*g**2 + 1/2*g**4 + 2.
(g - 1)**2*(g + 2)**2/2
Let s(q) be the second derivative of -q**7/1260 - q**6/12 - 15*q**5/4 + 15*q**4/4 - 2*q - 4. Let z(n) be the third derivative of s(n). Factor z(g).
-2*(g + 15)**2
Solve -10*m**3 + 0*m**2 + 13/3*m**4 + 0*m - 1/3*m**5 + 0 = 0.
0, 3, 10
Let c be (-67)/(-737) - (-3)/33. Determine d, given that -c*d**2 - 4/11*d**3 - 1/11*d**4 + 3/11 + 4/11*d = 0.
-3, -1, 1
Let g be (-50)/(-135)*-3*3/(-5). Let d(x) be the first derivative of 1/2*x**2 - g*x**3 + 0*x + 1/4*x**4 + 4. Factor d(z).
z*(z - 1)**2
Let s = -31477 + 31479. Let n = 175 + -872/5. Factor 0 + 3/5*u - n*u**s.
-3*u*(u - 1)/5
Let i(w) be the second derivative of 1/14*w**2 - 1/14*w**3 + 0 + 13/70*w**5 + 3/98*w**7 - 1/14*w**4 - 39*w - 9/70*w**6. Determine b so that i(b) = 0.
-1/3, 1/3, 1
Let r be -1 + -3 - (-108)/12. Let a(n) = 2*n + 2. Let c be a(2). Let -c*j**4 - 4*j**2 + 6*j**3 + 2*j**4 + j + 0*j + j**r = 0. What is j?
0, 1
Let l be -1 + 10/(-1440)*-148. Let a(z) be the second derivative of z + l*z**4 + 0 + 0*z**3 - 1/6*z**2. Determine v, given that a(v) = 0.
-1, 1
Factor 37*c - 67 + 57*c**2 - 61*c**2 + 24 + 91*c - 81.
-4*(c - 31)*(c - 1)
Let z = -16415 + 16415. Factor 0 - 4/9*n**3 + 0*n + z*n**2 + 2/9*n**4.
2*n**3*(n - 2)/9
Let a(g) be the third derivative of -2*g**6/75 - 38*g**5/75 - 481*g**4/120 - 169*g**3/10 + 260*g**2 - g. Determine p so that a(p) = 0.
-13/4, -3
Let u be (4/7)/((-76)/(-152)). Solve 8/7 - u*f - 2/7*f**2 + 2/7*f**3 = 0 for f.
-2, 1, 2
Let q(m) = -21*m**4 + 99*m**3 + 72*m**2 - 237*m - 174. Let g(x) = -3*x**4 + 14*x**3 + 10*x**2 - 34*x - 25. Let v(i) = -15*g(i) + 2*q(i). Factor v(z).
3*(z - 3)**2*(z + 1)**2
Let h(l) = 15*l**3 + 24*l**2 - 27*l - 6. Let z(u) = -u**2 + 4*u**3 + 3 + u - 2 + 5*u**3 - 8*u**3. Let p(a) = h(a) - 3*z(a). Factor p(b).
3*(b - 1)*(b + 3)*(4*b + 1)
Let p(r) be the third derivative of -r**8/63 + 2*r**7/45 + r**6/15 - 7*r**5/45 - r**4/9 - 79*r**2. Solve p(h) = 0 for h.
-1, -1/4, 0, 1, 2
Let t(v) = -4*v**3 + 49*v**2 + 64*v + 11. Let m(u) = -u**3 + 10*u**2 + 13*u + 2. Let s(k) = 11*m(k) - 2*t(k). Find z such that s(z) = 0.
-1, 0, 5
Let z be 2/6*5 - 535/(-1605). Let 0 + 1/5*o**3 - 1/5*o**4 + 0*o + 2/5*o**z = 0. Calculate o.
-1, 0, 2
Factor 216/7 - 72/7*t + 6/7*t**3 - 30/7*t**2.
6*(t - 6)*(t - 2)*(t + 3)/7
Let m(g) be the third derivative of -g**8/36960 - g**7/6930 - g**6/3960 - g**4/8 + 8*g**2. Let r(t) be the second derivative of m(t). Factor r(v).
-2*v*(v + 1)**2/11
Let 