*2 - 16*t - 190. Let p be w(-8). What is u in -16 - 6 - 20*u**2 - 20 - 108*u + p = 0?
-5, -2/5
Let m(r) = -1292*r + 160210. Let w be m(124). Solve -t**w + 7/4*t + 11/4 = 0 for t.
-1, 11/4
Let z(o) be the second derivative of 5*o**8/336 - o**6/4 - 2*o**5/3 - 5*o**4/8 + 60*o**2 + 2*o + 3. Let x(b) be the first derivative of z(b). Factor x(k).
5*k*(k - 3)*(k + 1)**3
Let v = -143020 + 143314. Factor -2/3*d**2 - v - 28*d.
-2*(d + 21)**2/3
Let x(y) be the third derivative of y**7/6 - 23*y**6/16 - 187*y**5/24 - 185*y**4/16 - 35*y**3/12 - 11*y**2 + 38*y. Solve x(f) = 0.
-1, -1/14, 7
Let c(r) be the third derivative of -r**6/660 - 139*r**5/330 - 1190*r**4/33 + 4900*r**3/33 + 407*r**2 - 1. Factor c(w).
-2*(w - 1)*(w + 70)**2/11
Let k(v) be the third derivative of v**7/105 - 61*v**6/30 + 82*v**5/3 - 289*v**4/2 + 345*v**3 + 3844*v**2. Suppose k(r) = 0. Calculate r.
1, 3, 115
Let p(f) be the second derivative of 0 + 0*f**2 + 1/4*f**3 + 3*f + 1/40*f**5 - 5/24*f**4 + 1/60*f**6. Factor p(k).
k*(k - 1)**2*(k + 3)/2
Let u(m) be the second derivative of 0 - 1/12*m**4 + 0*m**2 + 1/6*m**3 - 18*m. Let v(n) = -8*n**2 - 4*n + 16. Let g(q) = -12*u(q) + v(q). Factor g(y).
4*(y - 2)**2
Factor 1570/3*r + 2/3*r**2 - 524.
2*(r - 1)*(r + 786)/3
Factor 6852 - 6757 + 6*v**2 + 230*v - 111*v.
(v + 19)*(6*v + 5)
Let y(c) = -2*c**2 + 17*c - 18*c**2 - c**3 + 5*c**2 - 9. Let w be y(-17). What is b in -3*b**3 - 56 - 22*b**2 + b**3 + 216*b - w*b = 0?
-7, -2
Suppose 4*o + 649 = 8*o + m, -2*m = -3*o + 495. Factor -l**4 - 88*l + 5*l**3 - 3*l**2 - 84*l + o*l.
-l*(l - 3)**2*(l + 1)
What is z in -99*z**4 - z**5 + 294*z**3 - 16*z**4 + z**3 - 62*z**3 - 117*z**2 = 0?
-117, 0, 1
Let k(m) be the second derivative of m**4 - 54*m**2 + 0 + 1/5*m**5 - 6*m**3 + 137*m. Factor k(x).
4*(x - 3)*(x + 3)**2
Solve 250/3 - 8/9*s**5 + 550/3*s**2 - 1202/9*s**3 + 64/3*s**4 + 2650/9*s = 0 for s.
-1/2, 5, 15
Let i(o) = -5*o**3 - 15*o**2 + 60*o + 40. Let r(j) = j**3 + 4*j**2 - 15*j - 10. Suppose 0 = -3*p - 13 + 1. Let l(v) = p*i(v) - 15*r(v). Factor l(g).
5*(g - 2)*(g + 1)**2
Let u(y) be the third derivative of 0 + 66*y**2 + 1/12*y**5 + y + 45/2*y**3 + 5/2*y**4. Factor u(b).
5*(b + 3)*(b + 9)
Let d(v) be the third derivative of -v**6/80 - 39*v**5/4 - 38025*v**4/16 - 444*v**2. Factor d(l).
-3*l*(l + 195)**2/2
Let b(s) be the second derivative of -s**4/36 - 55*s**3/18 + 121*s**2 + 26*s + 64. Find f, given that b(f) = 0.
-66, 11
Let z = 20 + -11. Let b be (-6)/2 + 72/z. Suppose 188*d**3 + 12*d - 35*d**5 + 176*d**2 + 24*d**4 - d**b - 16*d + 52*d = 0. Calculate d.
-1, -2/3, 0, 3
Factor 0 + 0*d - 36*d**3 - 432*d**2 + 15*d**4 - 3/4*d**5.
-3*d**2*(d - 12)**2*(d + 4)/4
Determine b, given that 40 + 33 - 99 - 2*b**2 - 22*b + 50 = 0.
-12, 1
Let y be (-8 + 1)*1/1 + 0 + 7. Let k(j) be the third derivative of -1/80*j**5 + 1/32*j**4 - 1/160*j**6 + 0 + 0*j + 18*j**2 + y*j**3 + 1/280*j**7. Factor k(h).
3*h*(h - 1)**2*(h + 1)/4
Let z = 9293/3 - 3096. Let j(i) be the first derivative of 20*i + 32 + z*i**3 - 25/2*i**2. Solve j(n) = 0 for n.
1, 4
Solve -6*i**2 + 3/2*i + 3/2*i**3 + 9 = 0 for i.
-1, 2, 3
Let f be ((-30)/85)/((-1)/17). Let g(b) be the second derivative of 1/225*b**f + 1/15*b**4 + 2/75*b**5 + 4/45*b**3 + 8*b + 1/15*b**2 + 0. Factor g(a).
2*(a + 1)**4/15
Let v be 4 - 5 - 4 - -128. Let j = v - 93. Factor 2 + 5*q**2 - 9*q - 26*q**3 - j*q**3 + 5*q**2 + 53*q**3.
-(q - 2)*(q - 1)*(3*q - 1)
Let c = -20145 + 20148. Solve -12/5 - 3/5*w**2 + c*w = 0.
1, 4
Let z(t) = -11 + 8 - t + 31. Let m be z(16). Let 7*j - 3*j - 4*j**2 + 6*j + 2*j**2 + m = 0. Calculate j.
-1, 6
Let k(j) be the first derivative of j**4/10 - 76*j**3/15 + 37*j**2/5 - 756. Factor k(m).
2*m*(m - 37)*(m - 1)/5
Let f(d) be the second derivative of -d + 0*d**2 + 45 + 5/24*d**4 + 25/3*d**3. Solve f(u) = 0 for u.
-20, 0
Let b be (3 + -4)/(3096/(-1020)). Let p = b - -22/129. Solve 0 + p*o**2 + 1/3*o + 1/6*o**3 = 0.
-2, -1, 0
Factor -2/3*v**5 + 0*v + 0 + 0*v**2 - 34*v**4 - 100/3*v**3.
-2*v**3*(v + 1)*(v + 50)/3
Suppose 5*s + 4 = 6*s. Suppose -8*q = -s*q - 8. Factor -63*i**2 - 10*i**3 + i**4 + 13*i**4 + 31*i**q - 8*i.
2*i*(i - 2)*(i + 1)*(7*i + 2)
Let a = -389 - -391. Factor 2*m + 0*m - 417*m**a + 418*m**2 - m**3.
-m*(m - 2)*(m + 1)
Let a(f) be the first derivative of f**5/55 + 27*f**4/44 + 92*f**3/33 - 1422. Suppose a(c) = 0. What is c?
-23, -4, 0
Let f(t) be the first derivative of -9*t**3 - 77*t**2/2 + 12*t - 5823. Factor f(d).
-(d + 3)*(27*d - 4)
Suppose 5 = 23*u - 4 + 9. Let x(o) be the third derivative of -1/12*o**4 - 1/120*o**6 + 0 + u*o**3 - 1/20*o**5 + 0*o - 14*o**2. Factor x(y).
-y*(y + 1)*(y + 2)
Let x(v) be the first derivative of v**6/3 - 9*v**5/25 - 11*v**4/20 + 3*v**3/5 + v**2/10 - 1190. Suppose x(g) = 0. What is g?
-1, -1/10, 0, 1
Let l = 1034069 - 1034065. Suppose -2*k = 2*k. Suppose -16/11*x**3 + 12/11*x**2 + 18/11*x - 12/11*x**l - 2/11*x**5 + k = 0. Calculate x.
-3, -1, 0, 1
Let p(w) be the first derivative of w**6/600 - 7*w**5/100 - 3*w**4/8 + 7*w**3 - 2*w**2 - 27. Let n(y) be the third derivative of p(y). What is h in n(h) = 0?
-1, 15
Let w be 203/(-5) + 39/65. Let a be w/(-12) - (280/(-21))/(-10). Solve 2/9 + 4/9*m**a + 4/9*m**3 - 2/3*m**4 + 2/9*m**5 - 2/3*m = 0 for m.
-1, 1
Let x(w) be the third derivative of 1/420*w**7 - 29/60*w**6 - 24389/12*w**4 + 0*w + 707281/12*w**3 + 5*w**2 + 841/20*w**5 - 8. Factor x(i).
(i - 29)**4/2
Let t = 67 + -1. Solve 3*n**2 - 4*n**2 - 22*n**3 + 5*n**2 - 3*n**2 + 55*n**4 + t*n**4 = 0.
0, 1/11
Factor 80*l**2 - 693*l**3 - 425*l + 750 - 705*l**3 + 1393*l**3.
-5*(l - 6)*(l - 5)**2
Suppose -23*p - g = -26*p, -4*g = 0. Let z(x) be the second derivative of 0*x**2 + 0*x**3 + p + 1/90*x**5 + 0*x**4 + 0*x**6 - 1/189*x**7 + 13*x. Factor z(f).
-2*f**3*(f - 1)*(f + 1)/9
Factor 4 - 94*h + 53*h + 32*h**2 + 9*h**3 - 4 + 25*h.
h*(h + 4)*(9*h - 4)
Let j(a) = -3171*a**3 + 2199*a**2 + 7758*a + 741. Let z(y) = -317*y**3 + 220*y**2 + 776*y + 74. Let h(p) = -2*j(p) + 21*z(p). Let h(k) = 0. What is k?
-6/5, -2/21, 2
Let f(y) be the third derivative of y**5/120 + 71*y**4/48 - 6*y**3 - 2269*y**2. Factor f(a).
(a - 1)*(a + 72)/2
Let n(v) be the first derivative of 87*v**3 + 51*v**2 + 42*v**4 + 0*v + 9/5*v**5 + 62. Let n(b) = 0. Calculate b.
-17, -1, -2/3, 0
Let i(m) be the first derivative of 0*m + 57 + 3/2*m**2 + 1/7*m**3. Factor i(p).
3*p*(p + 7)/7
Let f(s) = 155*s**2 + 1555*s - 1590. Let o(t) = -12*t**2 - t + 1. Let k(m) = -f(m) - 10*o(m). Find n such that k(n) = 0.
-316/7, 1
Let c = -297788 + 297790. Factor -6/5*x**4 - 3*x**3 + 0*x + 0 + 9/5*x**c.
-3*x**2*(x + 3)*(2*x - 1)/5
Let n = -90922 - -90922. Find x such that 0 + n*x**2 - 8/5*x**4 + 4/5*x**5 + 0*x + 4/5*x**3 = 0.
0, 1
Let i be (-20 - 42/(-7))/(-2). Suppose 3*k**3 - 3*k - 9 + 4 - i + 12*k**2 = 0. What is k?
-4, -1, 1
Let j(a) be the first derivative of -8/3*a + 44 + 1/18*a**4 + 16/9*a**2 - 14/27*a**3. Let j(x) = 0. Calculate x.
2, 3
Let m(b) = -2*b**3 + 3*b**2. Let f(y) = y**3 - 124*y**2 + 495*y + 630. Let v(n) = -f(n) + 2*m(n). Let v(c) = 0. What is c?
-1, 6, 21
Let i be (10/4 + 5)*(-8)/(-12). Solve -23*j - 9*j**2 + 2*j**3 - i*j**2 + 3 - 7 + 3*j**3 = 0.
-1, -1/5, 4
Let m = -15/416 - 243731/1248. Let q = m - -196. Factor 0*p + 0 + q*p**2 + 2/3*p**3.
2*p**2*(p + 1)/3
Let m be (13 + -14)/((-2)/4). Let j(c) be the third derivative of -17*c**m + 7/12*c**4 + 0 - 2/3*c**3 + 0*c - 1/10*c**5. Factor j(g).
-2*(g - 2)*(3*g - 1)
Suppose 75*a = 72*a + 15. Suppose -3*n + 7*n = a*w - 15, n = 5*w - 15. Suppose 2/3*u**3 - 8/3 + 2*u**2 + n*u = 0. What is u?
-2, 1
Let o be 54*14/1134*15/2. Factor 14/3*k**4 - 10/3*k**o - 4/3*k**3 + 0*k**2 + 0 + 0*k.
-2*k**3*(k - 1)*(5*k - 2)/3
Let s(f) = -5977*f - 83674. Let r be s(-14). Factor -16/3 - 92*c**2 + 176/3*c - 1144/3*c**3 - 676/3*c**r.
-4*(c + 1)**2*(13*c - 2)**2/3
Let f(z) be the third derivative of 0 + 30*z**4 - 17*z**2 + 160/3*z**3 + 0*z + 27/4*z**5. Factor f(l).
5*(9*l + 8)**2
Let i(n) be the third derivative of n**8/50400 - n**6/450 + 2*n**5/15 + n**3/3 + 19*n**2 - 4. Let w(x) be the third derivative of i(x). Factor w(j).
2*(j - 2)*(j + 2)/5
Suppose 15*a + 51 - 21 = 0. Let q be (88/(-110))/(1/a). Factor -9/5*p**3 + 0 - q*p**2 - 1/5*p**4 + 0*p.
-p**2*(p + 1)*(p + 8)/5
Suppose -210*m - 236 - 16*m**2 + 11*m**2 + 802*m = 0. What is m?
2/5, 118
Let z be ((-3