tor c(l).
-l*(l - 1)**2*(l + 2)/2
Let s(v) be the first derivative of 3/4*v**3 + 3/16*v**4 + 3/4*v - 20 + 9/8*v**2. Factor s(u).
3*(u + 1)**3/4
Suppose 61*f - 39*f + 10 = 142. Let b(r) be the third derivative of 0*r + 1/840*r**6 + 0*r**4 + 0 - f*r**2 + 0*r**3 + 1/210*r**5. Factor b(v).
v**2*(v + 2)/7
Let q(y) be the first derivative of -2*y**6/3 - 336*y**5/5 + 171*y**4 - 344*y**3/3 - 6974. Solve q(z) = 0.
-86, 0, 1
Let w(h) be the second derivative of h**7/42 - 11*h**6/2 + 3519*h**5/10 - 9115*h**4/6 - 19413*h**3/2 - 32805*h**2/2 - 2891*h. Suppose w(f) = 0. What is f?
-1, 5, 81
Let o(t) be the first derivative of t**4/20 - 7*t**3/10 + 9*t**2/5 - 17*t + 60. Let s(p) be the first derivative of o(p). Determine u, given that s(u) = 0.
1, 6
Let t(n) = n + 16. Let c be t(-14). Suppose 3*q - 4*i = 9, c*q = -3*q - i + 15. Factor -20*g + 5*g**4 + 45*g**2 - 29*g**3 - 9*g**q + 8*g**3.
5*g*(g - 4)*(g - 1)**2
Let j(m) be the third derivative of -25*m**8/336 + m**7/7 + 49*m**6/24 - 5*m**5/2 - 145*m**4/6 + 20*m**3 - 4302*m**2. Find d such that j(d) = 0.
-2, 1/5, 2, 3
Let k(p) be the second derivative of 3*p**7/98 - p**6/35 - 337*p**5/70 - 150*p**4/7 + 475*p**3/14 - 125*p**2/7 - 1376*p. Determine y, given that k(y) = 0.
-5, 1/3, 10
Find n such that 119*n + 55*n**3 - 40*n**2 - 88*n + 5*n**5 + 40*n**4 - 91*n = 0.
-6, -2, -1, 0, 1
Suppose -190 = 25*h - 740. Let q be (0/h + 1 + 0)/3. Factor -4*v - 12 - q*v**2.
-(v + 6)**2/3
Suppose 19*k = 95 + 19. Let n(o) be the second derivative of 0 - 2/3*o**2 + 1/12*o**4 + 1/90*o**k - 2/9*o**3 + 1/15*o**5 - 14*o. Suppose n(p) = 0. Calculate p.
-2, -1, 1
Let g(b) = -9*b**3 - 24*b**2 - 15*b + 8. Let h(w) = -w**3 - w**2 + 2. Let d be 3*((-4)/(-3) - 2)*-2. Let q(x) = d*h(x) - g(x). Factor q(t).
5*t*(t + 1)*(t + 3)
Let j be 6/27 + 1*320/18. Let t = -15 + j. Factor -6/5 - t*r - 3/5*r**3 - 12/5*r**2.
-3*(r + 1)**2*(r + 2)/5
Let c(n) = n**3 + 381*n**2 - 9477*n + 46152. Let j(u) = -190*u**2 + 4740*u - 23075. Let w(x) = -5*c(x) - 9*j(x). Factor w(q).
-5*(q - 9)**2*(q + 57)
Let k(q) be the second derivative of q**6/180 - q**5/60 - q**4/2 - 7*q**3/6 - 4*q - 3. Let r(n) be the second derivative of k(n). Factor r(l).
2*(l - 3)*(l + 2)
Let l = -15580 + 15582. Factor -4/3*n**3 - 4/3*n - 2*n**l - 1/3*n**4 - 1/3.
-(n + 1)**4/3
Let n(z) = z**4 - 57*z**3 + 1482*z**2 - 12700*z + 38970. Let c(a) = -2*a**4 + 116*a**3 - 2962*a**2 + 25400*a - 77945. Let f(h) = 6*c(h) + 11*n(h). Factor f(l).
-(l - 39)*(l - 10)**3
Factor 2/3 - 126*u**2 - 376/3*u.
-2*(u + 1)*(189*u - 1)/3
Factor -1008016 - 4016*z - 180*z**2 - 279*z**2 + 455*z**2.
-4*(z + 502)**2
Let 0*i**3 + 0 - 1/2*i**2 + 0*i + 1/2*i**4 = 0. Calculate i.
-1, 0, 1
Let m(s) be the second derivative of 13/3*s**4 - 27/5*s**5 + 0 + 0*s**2 - 98*s - 2/21*s**7 + 0*s**3 + 2*s**6. Let m(q) = 0. What is q?
0, 1, 13
Suppose 5*x = 9026*t - 9022*t - 17, x = -5*t + 43. Factor 15/2 - 15/2*w**2 - 3/2*w + 3/2*w**x.
3*(w - 5)*(w - 1)*(w + 1)/2
Let z(u) be the first derivative of 329*u - 10*u**3 - 889*u + 46*u**2 + 4 - 461*u**2 + 198 + 15*u**3. Factor z(h).
5*(h - 56)*(3*h + 2)
Solve 1/3*c**2 + 744769/3 + 1726/3*c = 0.
-863
Suppose 2*t - 6*t + 8 = 0. Suppose 2*m + 3*v = 15, -t*v = -8 + 2. Let 4*g**2 - m*g**3 + 4*g**3 - 3*g**3 + 2*g + 0*g**3 - 4 = 0. What is g?
-1, 1, 2
Let v be (1/(-18))/((-92)/345*25). Let j(h) be the third derivative of 0*h**4 + 0 - v*h**6 + 0*h + 6*h**2 + 1/60*h**5 + 0*h**3. Factor j(m).
-m**2*(m - 1)
Find w, given that 4*w**3 + 374*w**4 - 27*w**3 - 160*w**5 + 159*w**5 - 350*w**4 = 0.
0, 1, 23
Let j = 714 - 669. Suppose -y - j = -49. Determine g so that 4/3 + 13/3*g - 13/3*g**3 - 1/3*g**2 - g**y = 0.
-4, -1, -1/3, 1
Let g(c) be the third derivative of 1/315*c**7 + 92*c**2 + 0*c + 1/18*c**5 - 2/3*c**3 + 1/36*c**6 - 5/36*c**4 + 0. What is h in g(h) = 0?
-3, -2, -1, 1
Suppose -w = -5*g + 13, 3*g - 9 = 6*w - 5*w. Factor p**2 - 826*p + 946*p - 4*p**g.
-3*p*(p - 40)
Let o be -1 - 32/(-6) - 6/18. Suppose v + v - 6 = 0. Suppose -4 + 5*d**2 + 7*d**3 - 4*d**o + 2*d**5 - 11*d**v + 2*d + 3*d**2 = 0. Calculate d.
-1, 1, 2
Let p be (-6270)/(-2772) + ((-4)/(24/(-3)) - 2). Factor 10/21*z**2 - 32/7 - 2/21*z**3 + p*z.
-2*(z - 4)**2*(z + 3)/21
Let n(q) = -q**2 - q + 3. Let c(o) = 39*o**2 - 450*o - 102. Let j(t) = c(t) + 6*n(t). Determine i so that j(i) = 0.
-2/11, 14
Let t(z) be the second derivative of -z**4/6 - 98*z**3 - 3*z + 466. Factor t(u).
-2*u*(u + 294)
Let t(q) be the first derivative of -q**5/5 - 33*q**4/4 - 57*q**3 - 247*q**2/2 - 108*q + 1128. Determine j so that t(j) = 0.
-27, -4, -1
Suppose -23*b - 14 = -24*b - 3*p, -4*p + 26 = 2*b. Let o be b/(-165)*2*-8. Solve 2/3*c**4 + 0 + 8/15*c**2 + 0*c + 2/15*c**5 + o*c**3 = 0 for c.
-2, -1, 0
Let q(k) be the first derivative of -2*k**3/3 + 48*k**2 - 1152*k + 1579. Factor q(b).
-2*(b - 24)**2
Let a = -12382932/11 + 1125724. Suppose 0 + 24/11*d + 6/11*d**3 + a*d**2 - 2/11*d**4 = 0. What is d?
-2, -1, 0, 6
Let l(y) be the third derivative of y**5/180 - 23*y**4/72 + 7*y**3/3 - 838*y**2. Let l(m) = 0. What is m?
2, 21
Let s(h) = -16*h**3 + 188*h**2 + 3*h + 15. Let u(c) = 5*c**3 - c**2 - c - 5. Let q(b) = -4*s(b) - 12*u(b). Factor q(z).
4*z**2*(z - 185)
Let k(i) be the second derivative of 3*i**5/70 - 55*i**4/42 + 16*i**3/3 - 16*i - 1. Factor k(r).
2*r*(r - 16)*(3*r - 7)/7
Let l(g) be the first derivative of g**5/60 + 2*g**4/9 + 13*g**3/18 + g**2 + 22*g - 24. Let j(z) be the first derivative of l(z). Factor j(k).
(k + 1)**2*(k + 6)/3
Let h(l) be the first derivative of 292 - 10/21*l**2 + 0*l + 2/63*l**3. Determine g so that h(g) = 0.
0, 10
Let l = -7870 + 7872. Let i(k) be the second derivative of -5/12*k**3 + 1/2*k**l - 1/40*k**5 + 1/6*k**4 - 22*k + 0. Let i(h) = 0. What is h?
1, 2
Let f(t) be the third derivative of t**8/224 + t**7/252 - 31*t**6/720 - 11*t**5/120 + t**4/72 + 2*t**3/9 - 8*t**2 - 13*t. Find d, given that f(d) = 0.
-1, 4/9, 2
Factor 742/5*m + 2/5*m**3 - 2254/5 - 74/5*m**2.
2*(m - 23)*(m - 7)**2/5
Let q(n) be the first derivative of 15/2*n**2 + 0*n - 1/60*n**5 + 10 - 1/240*n**6 + 0*n**3 + 1/16*n**4. Let i(t) be the second derivative of q(t). Factor i(z).
-z*(z - 1)*(z + 3)/2
Let b(t) be the second derivative of -t**4/12 - 115*t**3 - 119025*t**2/2 - t + 327. Determine j so that b(j) = 0.
-345
Let c(l) be the first derivative of 1/15*l**5 + 0*l**3 + 8 + 0*l + 1/3*l**4 - 2*l**2. Let t(s) be the second derivative of c(s). Suppose t(f) = 0. Calculate f.
-2, 0
Factor -22/3 + 1/3*z**3 - 13/3*z + 10/3*z**2.
(z - 2)*(z + 1)*(z + 11)/3
Let t(m) be the first derivative of 1/27*m**6 + 2/9*m - 32 - 1/9*m**4 - 4/27*m**3 + 2/45*m**5 + 1/9*m**2. Suppose t(v) = 0. Calculate v.
-1, 1
Let q = -21816/1427 + 46163146/2966733. Let r = 4/297 + q. Solve 0 + 2/7*z**2 + r*z**3 + 0*z = 0.
-1, 0
Factor -8*l**2 + 5*l**2 - 34 - 86 + 43*l + 2*l**2.
-(l - 40)*(l - 3)
Let l(f) = -2*f - 30. Let d be l(-16). Determine o so that -132*o + 18*o**d - 553 - 21*o**2 - 899 = 0.
-22
Let j(l) be the second derivative of -l**4/60 + 76*l**3/15 - 4*l - 140. Factor j(x).
-x*(x - 152)/5
Suppose -4*w + 3085 = 3137, -12*m + 2*w = -62. Find i, given that 0*i**2 + 0 + 10/3*i**4 + 0*i + 1/3*i**5 + 3*i**m = 0.
-9, -1, 0
Let n be 1/((-7)/(-280)*8). Let o(k) be the second derivative of 1/120*k**n + 1/18*k**4 + 0*k**2 + 0*k**3 + 2*k + 0. Factor o(p).
p**2*(p + 4)/6
Let g = 4557/4 - 1139. Let p(f) be the first derivative of 0*f - 1/9*f**2 - g*f**4 - 1/54*f**6 + 1/9*f**5 - 18 + 7/27*f**3. Suppose p(j) = 0. Calculate j.
0, 1, 2
Let b = 5146 - 87480/17. Let x(w) be the first derivative of -6/17*w - 1/17*w**2 + 1/34*w**4 + b*w**3 - 8. What is u in x(u) = 0?
-3, -1, 1
Let m(r) be the second derivative of 3*r**4/16 - 47*r**3/2 - 2613*r**2/8 + 744*r - 2. Factor m(d).
3*(d - 67)*(3*d + 13)/4
Let k = 130 + -20. Factor -59*y**2 + k*y**2 - 54*y**2 - 12*y.
-3*y*(y + 4)
Suppose u = 5*v - 19, 3*v - 65 + 77 = -2*u. What is h in 75/2 - 15*h**3 + 15*h - 3/2*h**4 - 36*h**v = 0?
-5, -1, 1
Let y be -2 - (((-4 + 308)/8)/40)/((-2)/5). Suppose -21/4*a**2 + 21/4 - y*a + 3/8*a**3 = 0. What is a?
-1, 1, 14
Let 2648/7 - 2652/7*j + 666/7*j**2 - 1/7*j**3 = 0. Calculate j.
2, 662
Factor -7264/3*f - 2420 - 1819/3*f**2 - 1/3*f**3.
-(f + 2)**2*(f + 1815)/3
Solve -1368*i - 1341*i - 357 + 2739*i + 3*i**2 = 0.
-17, 7
Let s(b) be the first derivati