+ b**2 + 23 - 2*b**4 + 26*b**3 - 23 = 0. Calculate b.
0, 1, 12
Let r be 16/(-18) - (32 - 7360/207). Solve 4/3*o**2 - 52/3*o**4 + 0 + 20/3*o**5 - r*o + 12*o**3 = 0.
-2/5, 0, 1
Let x(w) = -19*w**4 - 3*w**3 + 20*w**2 + 36*w + 17. Let o(z) = 51*z**4 + 8*z**3 - 59*z**2 - 108*z - 52. Let r(g) = -3*o(g) - 8*x(g). Factor r(d).
-(d - 5)*(d + 1)*(d + 2)**2
Let b be 9/117 + ((-10)/(-6))/((-4108)/(-1659)). Factor -b*a**3 - 9/2*a**2 + 45/4*a - 6.
-3*(a - 1)**2*(a + 8)/4
Let t be 20/((-4)/(-2)) + ((-801024)/560)/149. Let t*y**2 + 48/5*y + 46/5 = 0. Calculate y.
-23, -1
Let q(y) be the second derivative of -y**6/75 + y**5 - 92*y**4/15 + 15335*y. Factor q(v).
-2*v**2*(v - 46)*(v - 4)/5
Let z be 4/2 + -4 + 38. Suppose 18*k - 18 - z = 0. Factor 210*v**4 + 215*v**4 + v**k - 426*v**4.
-v**3*(v - 1)
Let t(m) be the second derivative of -3*m**5/100 - 63*m**4/20 + 167*m**3/5 - 612*m**2/5 - 324*m - 11. Factor t(w).
-3*(w - 3)*(w - 2)*(w + 68)/5
Let n(i) be the third derivative of 5*i**8/336 - 2*i**7/7 + 41*i**6/24 - 3*i**5/2 - 15*i**4 - 4*i**2 + 1497. Find m such that n(m) = 0.
-1, 0, 3, 4, 6
Find t, given that 339/4*t + 0 + 3/4*t**2 = 0.
-113, 0
Suppose 2*p + 27 = 3*u + p, 2*p - 36 = -4*u. Let g be 2/(-2 + 24/u). Suppose -g*c**4 - 9*c**2 - 12*c - 4 + 13*c**4 + 14*c**3 + 3*c**2 - 2*c = 0. Calculate c.
-1, -2/5, 1
Suppose -5*l + 78 = -3*w, -l + 2*l - 3*w - 6 = 0. Suppose 5*o = h - l, 5*o = -5*h + h - 3. Find d, given that 2 - h + d - 4 + 3 + d**2 = 0.
-2, 1
Let d(w) = 4*w + 27. Let z be d(15). Let o = -85 + z. Suppose 2 + 12*x**2 + 15*x**3 + o*x**4 - 11*x**3 + 4*x**3 + 8*x = 0. What is x?
-1
Factor -2/17*l**2 - 362/17 + 364/17*l.
-2*(l - 181)*(l - 1)/17
Let m(l) = 2*l**2 + 193*l - 4658. Let q be m(20). Factor 3/5*s**3 - 1/5*s**q + 0 + 1/5*s**4 - 3/5*s.
s*(s - 1)*(s + 1)*(s + 3)/5
Let b(h) be the third derivative of 41*h**5/150 + h**4/60 + 1232*h**2. Factor b(v).
2*v*(41*v + 1)/5
Let a(l) be the third derivative of -l**5/15 + l**4 - 6*l**3 + 82*l**2 - 3*l - 2. Solve a(h) = 0 for h.
3
Let f(q) be the third derivative of 0 - 1/6*q**5 - 5/24*q**4 + 0*q + 30*q**2 + 5/336*q**8 + 1/21*q**7 + 0*q**6 + 0*q**3. What is c in f(c) = 0?
-1, 0, 1
Factor -179*z**2 + 53*z**2 + 668 - 195*z + 64*z**2 + 682 + 57*z**2.
-5*(z - 6)*(z + 45)
Let g(o) be the third derivative of -7*o**5/30 + 1445*o**4/3 + 1652*o**3/3 - 83*o**2 + 14*o. Find v, given that g(v) = 0.
-2/7, 826
Let y(k) = -4*k**5 + 24*k**3 - 38*k**2 + 3*k - 3. Let a(q) = q**5 + q**4 + 3*q**3 + q**2 - q + 1. Let x(v) = -3*a(v) - y(v). Factor x(m).
m**2*(m - 7)*(m - 1)*(m + 5)
Suppose 1/6*t**2 + 128/3*t - 257/6 = 0. What is t?
-257, 1
Let x(t) be the third derivative of -t**5/420 - 22*t**4/21 - 3872*t**3/21 + 10*t**2 - 16. Factor x(q).
-(q + 88)**2/7
Factor -673/2*q + 1/2*q**2 + 336.
(q - 672)*(q - 1)/2
Let z = -759063 - -759066. Find m, given that -8/13 + 8/13*m**z - 42/13*m**2 + 42/13*m = 0.
1/4, 1, 4
Let l = -14149 + 14151. Let n(u) be the third derivative of 0*u + 0*u**4 - 1/6*u**3 + 0*u**6 + 15*u**l - 1/210*u**7 + 1/30*u**5 + 0. Factor n(z).
-(z - 1)**2*(z + 1)**2
Let w be -4 + (-221)/(-26) + 1/2. Let k be (w + 21/(-14))/7. Solve -k*n**2 - 2*n + 0 = 0 for n.
-4, 0
Let p(g) be the first derivative of -g**3/24 - 87*g**2/8 + 44*g - 6780. Suppose p(o) = 0. Calculate o.
-176, 2
Suppose 2*q = d, 18*q + 4*d = 14*q. Let i(v) be the second derivative of 2/9*v**4 + 0 + q*v**2 + 1/12*v**5 + 2/9*v**3 + 1/90*v**6 + 5*v. Factor i(k).
k*(k + 1)*(k + 2)**2/3
Let o(i) be the third derivative of i**8/840 - i**7/25 + 23*i**6/50 - 112*i**5/75 - 32*i**4/5 + 12*i**2 + 220. What is r in o(r) = 0?
-1, 0, 6, 8
Let i(u) = 62*u + 254. Let h be i(-4). Let q(s) be the second derivative of -6*s - 1/4*s**3 + 5/16*s**4 - 3/20*s**5 + 0 + 0*s**2 + 1/40*s**h. Solve q(c) = 0.
0, 1, 2
Let p be (2 - 8)*(-1)/((-21)/14). Let c be p*(-18)/(-75)*20/(-6). Find j, given that -12/5 - 4/5*j**2 - c*j = 0.
-3, -1
Factor -8*z + 0 - 5/3*z**4 - 44/3*z**2 + 38/3*z**3.
-z*(z - 6)*(z - 2)*(5*z + 2)/3
Let i(a) be the second derivative of -5*a**7/42 + a**6/3 + 7*a**5/4 + 5*a**4/3 - 4*a - 65. Factor i(v).
-5*v**2*(v - 4)*(v + 1)**2
Let h(t) = -2*t**2 - 42*t - 12. Let g be h(-19). Let j = g + -52. Suppose -409*z**2 - j*z**3 + 417*z**2 + 6*z**4 - 26*z**4 = 0. Calculate z.
-1, 0, 2/5
Suppose 0 = 58*v + 48 - 48. Let q(p) be the second derivative of 1/2*p**4 + v - 13*p + 7/3*p**3 + 2*p**2. What is l in q(l) = 0?
-2, -1/3
Let v(r) be the third derivative of -r**6/210 + 174*r**5/35 + 523*r**4/42 + r**2 + 7342*r. Determine p, given that v(p) = 0.
-1, 0, 523
Let f(u) be the first derivative of u**3/6 + 169*u**2/2 + 28561*u/2 + 2248. Determine k, given that f(k) = 0.
-169
Let u(q) be the first derivative of 75/2*q**2 + 33/4*q**4 - 57 - 35*q**3 - 3/5*q**5 + 0*q. Factor u(l).
-3*l*(l - 5)**2*(l - 1)
Let m(h) be the first derivative of -9/8*h**2 + 0*h - 3/16*h**4 + 3/20*h**5 + 64 - 5/4*h**3. Factor m(z).
3*z*(z - 3)*(z + 1)**2/4
Factor -102*i**3 - 4*i**5 + 122*i**3 - 64 - 100*i**2 - 50*i - 8*i - 143*i + 20*i**4 + 41*i.
-4*(i - 4)**2*(i + 1)**3
Let n(w) be the second derivative of w**5/60 + 43*w**4/36 - 819*w. Determine b so that n(b) = 0.
-43, 0
Factor 0 + 2/19*o**2 + 92/19*o.
2*o*(o + 46)/19
Let c(y) be the second derivative of -y**8/3360 + y**7/140 - 3*y**6/40 + 9*y**5/20 - 35*y**4/6 + 28*y. Let m(f) be the third derivative of c(f). Factor m(t).
-2*(t - 3)**3
Factor -48*j + 71*j**2 + 52 + 66*j**2 - 210*j**2 + 69*j**2.
-4*(j - 1)*(j + 13)
Suppose 0 = 64*o - 50*o. Let t be (-6 + 1 + o)/((-280)/112). Factor -1/4*f**4 - 13/4*f**t + 3*f - 1 + 3/2*f**3.
-(f - 2)**2*(f - 1)**2/4
Let z(r) be the first derivative of r**6/18 - 26*r**5/5 + 77*r**4/12 - 131. Factor z(d).
d**3*(d - 77)*(d - 1)/3
Suppose 0*k = -g - k + 713, -4*g + 2843 = -5*k. Let m = -707 + g. Suppose 3/4*b**m - 3/4*b**2 - 9/4*b**3 + 0 + 3/2*b + 3/4*b**4 = 0. What is b?
-2, -1, 0, 1
Let d be (5 + -5)/(-10 - (-8 - -1)). Let t(m) be the second derivative of d + 1/60*m**6 + 7/80*m**5 - 1/24*m**3 + 1/8*m**4 - 10*m - 1/4*m**2. Factor t(r).
(r + 1)**2*(r + 2)*(2*r - 1)/4
Let r(d) be the first derivative of -7 - 8/15*d**3 - 2/5*d**2 + 2/15*d**6 + 0*d**4 + 0*d + 8/25*d**5. Factor r(c).
4*c*(c - 1)*(c + 1)**3/5
Suppose -v + 4*v + 3*k = 3, 0 = -5*v - 4*k + 8. Suppose 0 = 10*z - 44 + v. Factor 16 - 28 + 6 + 2*n**2 - z*n.
2*(n - 3)*(n + 1)
Find k such that -26 + 2/9*k**2 - 232/9*k = 0.
-1, 117
Let s be ((-4)/(-3)*17/34)/(343/147). Suppose 32/7 + 4*b**2 + s*b**3 - 62/7*b = 0. Calculate b.
-16, 1
Let j(s) = s**2 - 83*s - 960. Let n(i) = -4*i**2 + 240*i + 2880. Let q(x) = 16*j(x) + 5*n(x). Factor q(o).
-4*(o + 12)*(o + 20)
Suppose 19*v + 10*v = 0. Factor 0*q**2 + 100 - 4*q**2 + 5*q**2 + v - 20*q.
(q - 10)**2
Suppose 0 = -104*v + 117*v - 52. Suppose -103 + v = -33*q. Determine u, given that 18/5*u**q + 18*u**2 + 36/5 - 6/5*u**4 + 102/5*u = 0.
-1, 6
Suppose 4*r + 4 = 0, 0*x = 2*x + r - 3. Solve 15 - 4*p - p**x - 15 + 19*p + 16*p = 0.
0, 31
Let v(z) be the first derivative of z**6/480 + z**5/48 - z**4/24 - 5*z**3/6 + 30*z**2 - z - 82. Let f(a) be the second derivative of v(a). Factor f(y).
(y - 2)*(y + 2)*(y + 5)/4
Let f(b) be the first derivative of 2*b**5/11 + 4*b**4/11 + 2*b**3/11 - 1113. Factor f(v).
2*v**2*(v + 1)*(5*v + 3)/11
Suppose -4*w - 5*l + 31 = 0, 0 = 7*w - 4*w - l - 28. Solve 6*z**3 - 16*z + w*z**4 + z**2 - 11*z**4 + 11*z**2 = 0.
-2, 0, 1, 4
Suppose -407808478*z**3 - 2856*z - 16/11 - 1869252*z**2 = 0. What is z?
-2/1309
Let i(s) = s**5 - s**4 - s**3 + 3*s**2 + s. Let b(t) = 7*t**5 - 10*t**4 + 17*t**3 + 2*t**2 + 17*t. Let z(x) = -4*b(x) + 44*i(x). Solve z(n) = 0 for n.
-3, 0, 1/4, 1, 2
Let j = 263 - 257. Let s be 0 + 21/35 - j/(-40). Factor s*c**3 + 12 + 27/4*c**2 + 18*c.
3*(c + 1)*(c + 4)**2/4
Let r = -1072 + 22516/21. Let x(b) be the first derivative of -1/7*b**2 - 2/35*b**5 - 1/21*b**6 + 15 + r*b**3 - 2/7*b + 1/7*b**4. Find c such that x(c) = 0.
-1, 1
Suppose -3*v + 28 = 2*b, 748*b = -3*v + 752*b - 38. Let 1/5*l**4 + 0*l**3 + 4/5 + 0*l - l**v = 0. What is l?
-2, -1, 1, 2
Let y(h) be the second derivative of h**4/3 + 34*h**3 - 104*h**2 - 2298*h. What is r in y(r) = 0?
-52, 1
Let t be (-110)/(-35) + (1 - 4) + 420/147. Let -45/2*p**2 - 1/2*p**t - 675/2*p - 3375/2 = 0. What is p?
-15
Factor 111556/11*a + 1/11*a**4 + 0 + 110888/11*a**2 - 667/