**4 + 8*l**3 + 794. Factor d(v).
-3*v**2*(v - 2)**2*(43*v - 2)
Let b be (3/(-54))/((-3)/12). Let n(m) be the first derivative of -2/3*m - 1/3*m**2 + 1/6*m**4 + b*m**3 - 3. Factor n(f).
2*(f - 1)*(f + 1)**2/3
Let o(t) be the second derivative of t**6/15 + t**5/2 + 2*t**4/3 + 297*t. Factor o(z).
2*z**2*(z + 1)*(z + 4)
Let z(d) = -5*d. Let x be z(-4). Let g be (2*2/(-20))/((-8)/x). Factor -2*h + 2 + 1/2*h**3 - g*h**2.
(h - 2)*(h - 1)*(h + 2)/2
Let c(z) = 7*z**2 + 9*z + 8. Let l(f) = 7*f**2 + 8*f + 7. Let x(u) = 5*c(u) - 6*l(u). Let y(t) = -15*t**2 - 5*t - 5. Let g(h) = -5*x(h) + 2*y(h). Factor g(d).
5*d*(d + 1)
Solve 2/13*r**2 + 384/13*r + 18432/13 = 0 for r.
-96
Let r(b) = -3*b**2 - 10*b - 19. Let p be r(-4). Let g = -27 - p. Let 1/5*n**3 + 0*n - 2/5*n**2 + g = 0. What is n?
0, 2
Let r(x) be the first derivative of -x**5/20 + x**3/2 + x**2 + 8*x + 13. Let k(t) be the first derivative of r(t). Determine q so that k(q) = 0.
-1, 2
Suppose -2*a - 17 = -17. Let y be (-6)/10 + 1 + a. Suppose -1/5*x - y*x**2 + 1/5*x**3 + 2/5 = 0. What is x?
-1, 1, 2
Let w be (-5)/(-15) - 53/159. Factor 1/2*d**5 + d**4 + w*d + 0 + 0*d**2 + 1/2*d**3.
d**3*(d + 1)**2/2
Let -5*w**4 - 660*w**2 + 1445*w - 2240 + 555*w + 16246*w**3 - 16151*w**3 = 0. What is w?
4, 7
Suppose n**4 + 47/3*n**3 + 26/3 + 31*n + 37*n**2 = 0. Calculate n.
-13, -1, -2/3
Let i be 15/20 - (-12)/(-16). Let w(j) be the third derivative of 4*j**2 - j**3 - 1/5*j**5 + 1/40*j**6 + 0 + i*j + 5/8*j**4. Factor w(p).
3*(p - 2)*(p - 1)**2
Let t(c) = -c**2 + 13*c - 26. Let v be t(10). Let a(w) be the second derivative of 0 - 3/11*w**3 + 2/11*w**2 - w - 2/55*w**5 + 2/11*w**v. Factor a(p).
-2*(p - 2)*(2*p - 1)**2/11
Let v be 3 + -2 + (1 - 0). Suppose v + 0 = f. Factor 8 - 14*w**2 + 22*w**2 - 2*w**3 - 14*w**f.
-2*(w - 1)*(w + 2)**2
Suppose 0 = 4*j + 16, -2*j + 2 + 20 = 5*x. Suppose -2*q + 2 = -x, 3*f = 2*q + 1. Find s, given that -4/5*s**f + 0*s - 1/5*s**2 + 0 = 0.
-1/4, 0
Let q(t) be the third derivative of 3*t**7/140 - 227*t**6/240 + 1337*t**5/120 + 1235*t**4/48 - 169*t**3/6 - 5*t**2. Determine f, given that q(f) = 0.
-1, 2/9, 13
Let r(x) be the first derivative of -5*x**6/6 - 24*x**5 + 695*x**4/4 - 890*x**3/3 - 270*x**2 + 1160*x - 203. Factor r(b).
-5*(b - 2)**3*(b + 1)*(b + 29)
Let m(n) = 448*n + 4933. Let a be m(-11). Let w = -8/15 + 47/60. Factor 1/4*f**a - w*f - 1/2*f**4 + 1/2*f**2 + 0 + 0*f**3.
f*(f - 1)**3*(f + 1)/4
Let s(a) be the first derivative of a**5/20 - 5*a**4/4 + 483. What is c in s(c) = 0?
0, 20
Determine q, given that 2*q**3 + 0 - 74*q**2 + q**3 + 0 - 124*q**2 = 0.
0, 66
Factor -11/2*o + 5 + 1/2*o**2.
(o - 10)*(o - 1)/2
Let f(z) be the second derivative of -2/5*z**6 + 3/7*z**7 + 0*z**2 + 0*z**4 + 9*z + 0*z**3 + 0 + 1/10*z**5. Find a, given that f(a) = 0.
0, 1/3
Suppose 3/2*g**3 + 5*g**2 - 4*g - 1/2*g**5 + 0 - 2*g**4 = 0. What is g?
-4, -2, 0, 1
Let a(s) = s**2 + 9*s + 16. Let l be a(-7). Factor 0*j**3 + j**2 - l*j**3 - j**3 - j**4 + 2*j**3 + j.
-j*(j - 1)*(j + 1)**2
Let b(l) be the third derivative of 9*l**2 + 0*l**3 + 0*l + 0 - 1/3*l**6 - 1/3*l**5 + 0*l**4 - 1/14*l**7. Factor b(u).
-5*u**2*(u + 2)*(3*u + 2)
Let z(x) = x**3 + x**2 + x + 1. Let f(o) = -11*o**3 - 43*o**2 - 66*o - 28. Let w(c) = -f(c) - 4*z(c). Factor w(s).
(s + 2)*(s + 3)*(7*s + 4)
Let h(o) be the second derivative of -o**5/60 - 31*o**4/18 + 7*o**3/2 - 130*o. Let h(t) = 0. Calculate t.
-63, 0, 1
Let z(g) be the third derivative of 23*g**7/945 + g**6/540 + 2*g**2 + 43*g. Factor z(h).
2*h**3*(23*h + 1)/9
Suppose 0 = 3*g - 54 + 15. Suppose -3*w - 4 + g = 0. Suppose 154*t**3 + 3 + 7 - 8*t**w - 2 - 42*t**4 - 48*t + 34*t**2 - 98*t**5 = 0. Calculate t.
-1, 2/7, 1
Suppose -219*v = -99 - 558. Factor 0 + q - 1/3*q**v - 2/3*q**2.
-q*(q - 1)*(q + 3)/3
Factor 555/2*x - 10*x**3 + 70*x**2 + 225.
-5*(x - 10)*(2*x + 3)**2/2
Let y(t) = -3*t**5 - 15*t**4 - 27*t**3 - 25*t**2 - 6*t. Let g(i) = 15*i**5 + 75*i**4 + 135*i**3 + 126*i**2 + 30*i. Let w(f) = -4*g(f) - 21*y(f). Factor w(m).
3*m*(m + 1)**3*(m + 2)
Suppose 2*z**4 + 120*z**2 - 40*z - 136*z - 26*z**3 + 128 - 48*z = 0. Calculate z.
1, 4
Let v be (0 - -4)/((2050/246)/((-5)/(-4))). Factor -12/5*r - 3 + v*r**2.
3*(r - 5)*(r + 1)/5
Let v(r) be the third derivative of r**5/100 + 9*r**4/10 + 131*r**2. Find j such that v(j) = 0.
-36, 0
Suppose -3*l + 3*s - 12 = 0, 15 = 5*s - 5. Let n(y) be the third derivative of 4*y**2 + 0*y + 1/30*y**5 + 5/84*y**4 + l - 2/21*y**3. Find t such that n(t) = 0.
-1, 2/7
Find p such that 2491 + 456*p + 5*p**2 - 5*p + 119*p + 1369 + 12385 = 0.
-57
What is s in 11*s**2 + 2*s**3 - 4*s**4 - 6*s**5 - 12*s - 18*s**4 + 27*s**2 = 0?
-3, -2, 0, 1/3, 1
Let q(r) be the second derivative of -5*r**9/18144 + r**8/896 - r**7/630 + r**6/1080 + 3*r**4/4 - 4*r. Let u(j) be the third derivative of q(j). Factor u(c).
-c*(c - 1)*(5*c - 2)**2/6
Let r(i) = -8*i**2 + 27*i + 35. Let l be 3*20/15*6/4. Let n(p) = -3*p**2 + 9*p + 12. Let o(m) = l*r(m) - 17*n(m). Let o(h) = 0. What is h?
-2, -1
Let g = -14 + 19. Suppose 53 = g*d + 3. Find b such that 6 - 3 + b**2 - d*b**2 - 2*b - 4*b = 0.
-1, 1/3
Let g(w) be the third derivative of 4/525*w**7 + 0*w**3 - 8/75*w**5 + 21*w**2 + 0 - 1/420*w**8 + 2/75*w**6 + 0*w + 0*w**4. Determine x, given that g(x) = 0.
-2, 0, 2
Factor 1058*h + 2*h**3 + h**3 - 675 - 713*h - 39*h**2 - 18*h**2.
3*(h - 9)*(h - 5)**2
Let i(o) be the third derivative of o**5/60 + o**4/24 + 6*o**2. Let b be i(1). Factor 4 + 6*s**2 - 7*s**b + 1 - 4.
-(s - 1)*(s + 1)
Let m = -59 + 70. Let z be (m/22)/((-2)/(-12)). Find j such that -2/13*j + 6/13 + 6/13*j**4 + 4/13*j**z - 12/13*j**2 - 2/13*j**5 = 0.
-1, 1, 3
Let x(o) = -5*o - 1. Let u be x(-1). Factor -27*z**u - 20*z**2 + 3*z + 32*z**4 - 3*z.
5*z**2*(z - 2)*(z + 2)
Let p be 40 + 0 - (0 - (-1 + 1)). Factor -5*l**3 + 0*l**3 - 35*l + p - 25*l + 30*l**2.
-5*(l - 2)**3
Let k be (5 - (-135)/(-35))/((-12)/(-14)). Find s, given that 2*s - k - 2/3*s**2 = 0.
1, 2
Suppose a = -a, 10 = 5*d + 3*a. Suppose 0 + 12 = 3*r. Suppose -5*n**2 + 0*n**3 - 2*n - 4*n**3 + d*n**4 - 3*n**r = 0. Calculate n.
-2, -1, 0
Factor -42/5*o**3 - 3/5*o**4 - 147/5*o**2 + 0*o + 0.
-3*o**2*(o + 7)**2/5
Suppose 0 = -2*n + 64 - 18. Let v**4 + n*v**3 - 22*v**3 + v - 5*v - 4*v**2 = 0. Calculate v.
-2, -1, 0, 2
Let v(x) = -33*x**2 - 264*x + 182. Let h(b) = 144*b**2 + 1056*b - 729. Let g(n) = -2*h(n) - 9*v(n). What is k in g(k) = 0?
-30, 2/3
Let h(n) be the third derivative of -n**6/60 + 7*n**5/60 + 5*n**4/24 - n**3/3 + 27*n**2. Let z(o) = -1. Let f(i) = -h(i) - 2*z(i). What is t in f(t) = 0?
-1, 1/2, 4
Let o = -797/3 + 266. Let i(a) be the second derivative of -o*a**4 + 0 + 10/3*a**3 + a - 8*a**2. Suppose i(b) = 0. What is b?
1, 4
Let g(i) be the first derivative of 2*i**3/15 + 10*i**2 + 98*i/5 + 55. Solve g(j) = 0 for j.
-49, -1
Let g(v) be the second derivative of v**6/10 - 3*v**5/4 + 3*v**4/4 + 9*v**3/2 - v + 23. Let g(i) = 0. Calculate i.
-1, 0, 3
Let y be 7 - (-15 + (-41)/(-3))*45/(-12). Let z = -1/26 + 111/182. What is b in 8/7 + z*b**y - 12/7*b = 0?
1, 2
Factor 32/7*g + 48/7 + 4/7*g**2.
4*(g + 2)*(g + 6)/7
Factor 467*b**2 - 395*b**3 + 868*b**2 + 295 + 21*b**4 + 14*b**4 - 45 - 1225*b.
5*(b - 5)**2*(b - 1)*(7*b - 2)
Let i(p) be the first derivative of p**5/20 - 3*p**4/16 - 5*p**3/12 + 3*p**2/8 + p + 5. Determine z, given that i(z) = 0.
-1, 1, 4
Find x such that 10*x + 2 - 4*x**2 + 818*x**3 + 8*x**4 - 2*x**5 - 6 - 826*x**3 = 0.
-1, 1, 2
Let u = 68 + -78. Let s(l) = l**3 + l**2 - l - 1. Let p(d) = -5*d**5 - 25*d**4 - 25*d**3 - 5*d**2 - 10*d - 10. Let o(y) = u*s(y) + p(y). Factor o(f).
-5*f**2*(f + 1)**2*(f + 3)
What is d in -10/3*d**2 - 32/3 + 32/3*d + 1/3*d**3 = 0?
2, 4
Let d(h) be the first derivative of h**7/42 - h**6/45 + 3*h**3 + 14. Let k(a) be the third derivative of d(a). Determine y, given that k(y) = 0.
0, 2/5
What is l in 21*l + 8*l**2 + 12 - 3*l**2 + 8*l**2 - 4*l**2 = 0?
-4/3, -1
Let l be 2 - 1*(-1302)/270. Let j = -33/5 + l. Factor 2/9*o - j*o**3 + 4/9 - 4/9*o**2.
-2*(o - 1)*(o + 1)*(o + 2)/9
Suppose -62 = 5*t + 3. Let u = t + 29. Let n(f) = -f. Let m(r) = -20*r**2 + 44*r - 8. Let b(a) = u*n(a) + m(a). Determine j so that b(j) = 0.
2/5, 1
Let w(z) = 8 - 9*z - 2*z**3 + z - z + z**3 + 9*z**2. Let x be w(8). Factor 16/7*m + x - 20/7*m**3 + 6/7*m**4 + 8/7*m**2.
2*m*(m - 2)**2*(3