*r**6 + 1/15*r**5 + 0 + 1/3*r**4 + w*r**2 + 0*r**3. Factor b(g).
-4*g*(g - 2)*(g + 1)
Let g(z) be the second derivative of -z**5/120 + 113*z**4/24 - 3211*z**3/4 + 28561*z**2/12 - 3*z + 141. Determine o so that g(o) = 0.
1, 169
Suppose 132*y**3 + 2207908 - 2207908 + 112*y**4 + 8*y**2 - 12*y = 0. What is y?
-1, -3/7, 0, 1/4
Let i = 48/5351 + 10270/48159. Factor 10/3 - i*x**2 - 4/9*x.
-2*(x - 3)*(x + 5)/9
Let q(j) = -11*j**2 - 53*j + 11. Let o be q(-4). Suppose o*t = 33*t + 56. Let t*z**2 - 16/5*z + 0 - 4/5*z**3 = 0. What is z?
0, 1, 4
Let r(x) = 2*x**3 - 52*x**2 + 98*x - 36. Let z(w) = -w**2 + 2*w + 1. Let u(l) = 13*l - 129. Let p be u(10). Let v(b) = p*r(b) - 6*z(b). Factor v(h).
2*(h - 21)*(h - 1)**2
Let p(d) = -d**3 + 17*d**2 + 19*d - 16. Let j be p(18). Determine r, given that r**5 + 5*r**4 - 48*r**3 + 3*r**j + 52*r**3 - 3*r**2 = 0.
-4, -1, 0
Let r(o) = -7*o**2 - 52*o - 211. Let x(k) = -11*k**2 - 79*k - 316. Let h(j) = 8*r(j) - 5*x(j). Let b be h(-10). Suppose -1/6*l**b - 2/3 - 2/3*l = 0. What is l?
-2
Let b(k) be the third derivative of -3*k**6/100 + 247*k**5/50 - 244*k**4/15 + 108*k**3/5 - 1154*k**2. Factor b(j).
-2*(j - 81)*(3*j - 2)**2/5
Solve 71/5*o**3 + 0*o**2 + 14*o**4 + 0 - 1/5*o**5 + 0*o = 0 for o.
-1, 0, 71
Solve 3/4*g**4 + 546987 - 1095255*g - 2565/2*g**3 + 2198199/4*g**2 = 0.
1, 854
Let o(p) be the first derivative of -147/2*p**2 - 45/4*p**4 - 258 + 0*p - 63*p**3 - 3/5*p**5. Solve o(t) = 0.
-7, -1, 0
Suppose 0 = 1757*b - 1790*b + 231. Let q(j) be the first derivative of b + 0*j + 0*j**2 - 4/3*j**3 + 2*j**4 - 4/5*j**5. Factor q(c).
-4*c**2*(c - 1)**2
Let -29*h**2 + 10*h**2 + 6*h**2 + 150*h - 46*h**2 + 40 - 26*h**2 = 0. Calculate h.
-4/17, 2
Let f = -38 - -66. Let w(k) = -k**3 - 5*k**2 - k - 2. Let t be w(-5). Factor -3 - 3 - 36*s**2 - 21*s + 15*s**t + 20*s + f*s.
3*(s - 1)**2*(5*s - 2)
Let k(x) be the first derivative of x**4/10 - 2*x**3 - 45*x**2 - 250*x - 791. Factor k(t).
2*(t - 25)*(t + 5)**2/5
Let c(p) = -5*p**4 - 15*p**3 + 5*p**2 + 19*p + 2. Let r(n) = 14*n - 5. Let m(d) = 18*d - 6. Let b(z) = 4*m(z) - 5*r(z). Let a(h) = -2*b(h) + c(h). Factor a(q).
-5*q*(q - 1)*(q + 1)*(q + 3)
Let q(j) be the first derivative of 3/25*j**5 + 16*j**3 - 243/5*j + 184 + 27/5*j**2 - 27/10*j**4. Let q(z) = 0. Calculate z.
-1, 1, 9
Suppose -35*z + 29*z = -12. Factor -4*c**4 + 8*c**4 + 150*c**3 + 81*c**z - 87*c**3 - 27 + 2*c**4 - 3*c.
3*(c + 1)**2*(c + 9)*(2*c - 1)
Let f be 119/24 + (-76)/(-1824). Let s(g) be the second derivative of -g + 1/4*g**4 + 1/90*g**6 + 1/12*g**f + 7/18*g**3 + 1/3*g**2 + 0. Factor s(t).
(t + 1)**3*(t + 2)/3
Let m(g) be the first derivative of -g**6/135 - 23*g**5/90 - 143*g**4/54 - 121*g**3/27 - 278*g + 180. Let r(d) be the first derivative of m(d). Factor r(n).
-2*n*(n + 1)*(n + 11)**2/9
Find v, given that -1/2*v**2 + 155 - 21/2*v = 0.
-31, 10
Let f(r) be the third derivative of 0 + 11*r**3 + 36*r**2 + 21/8*r**4 - 1/20*r**5 + 0*r. Factor f(j).
-3*(j - 22)*(j + 1)
Let c be 160/5 - (-6 + 0). Factor -19 - 8*w**3 + c*w**2 + 15 + 52*w**2 + 74*w - 20.
-2*(w - 12)*(w + 1)*(4*w - 1)
Let p be 1/2 - 0 - 7*(-2461)/5992. Factor p + 150*n**2 + 45*n.
3*(20*n + 3)**2/8
Let h(t) = -6*t - 135. Let k be h(-23). Factor 113*a**4 - 109*a**4 - k*a**2 + 2*a - 2*a - a**2.
4*a**2*(a - 1)*(a + 1)
Let o(p) be the first derivative of -3*p**4/20 + 28*p**3/15 - 7*p**2/2 - 30*p + 1376. Factor o(w).
-(w - 6)*(w - 5)*(3*w + 5)/5
Suppose 0 = v - 3*p - 2*p + 22, 4 = -2*v + 2*p. Let t(h) be the first derivative of -15*h + 5/3*h**v + 5*h**2 + 36. Determine q so that t(q) = 0.
-3, 1
Let c(r) be the third derivative of r**6/30 - 22*r**5/15 + 19*r**4/2 - 2*r**2 - 3*r. Factor c(b).
4*b*(b - 19)*(b - 3)
Let x(g) be the second derivative of g**7/168 - g**6/120 - 5*g**5/8 + 41*g**4/24 + 305*g**3/24 + 175*g**2/8 - 2119*g. What is a in x(a) = 0?
-7, -1, 5
Let w be 42/18 - 6/18. Suppose -1 = -2*m + 9. Factor w*b - m*b - 9*b**3 - b + 10*b**3.
b*(b - 2)*(b + 2)
Let q(b) be the second derivative of -b**6/18 + 19*b**5/20 - 31*b**4/18 - 14*b**3/3 + 20*b**2/3 - 49*b + 3. Determine l so that q(l) = 0.
-1, 2/5, 2, 10
Factor 774/11*q + 2/11*q**2 + 140.
2*(q + 2)*(q + 385)/11
Let m be 97/5 - (1 - 56/35). Let j(k) be the first derivative of -m*k + 1/10*k**4 - 8/5*k**3 + 9*k**2 + 16. Factor j(c).
2*(c - 5)**2*(c - 2)/5
Let -7803/7*v + 6/7*v**4 - 615/7*v**3 + 0 + 15912/7*v**2 = 0. Calculate v.
0, 1/2, 51
Factor -2*l**3 - 53*l**2 + 471*l + 44 + 9*l**2 - 469*l.
-2*(l - 1)*(l + 1)*(l + 22)
Let l(c) be the first derivative of -46/3*c**3 + 26*c**2 - 16*c + 123 + 3*c**4. Factor l(m).
2*(m - 2)*(2*m - 1)*(3*m - 4)
Let f be (-12)/25*((-22)/(-187) - 106106/221). Solve -f + 96/5*o - 2/5*o**2 = 0.
24
Let m(f) = -f**3 - 6*f**2 + 311*f - 588. Let s(d) = -d**3 + 12*d**2 - d. Let y(l) = m(l) - 4*s(l). Factor y(c).
3*(c - 7)**2*(c - 4)
Let z(x) = x**4 + 2*x**3 + x**2 - x. Let s(b) = b**5 - 15*b**4 - 8*b**3 + b**2. Let m(h) = -5*s(h) - 35*z(h). What is k in m(k) = 0?
-1, 0, 1, 7
Let w be ((-16)/224)/(7*(-12)/168). Factor w*z**4 + 0*z**3 + 0 + 0*z + 0*z**2.
z**4/7
Let k = 683393 - 2050177/3. Determine w so that -k*w**4 + 0 + 0*w**2 - 64/3*w + 4*w**3 = 0.
-2, 0, 4
Suppose -1/4*m**3 + 5*m - 19/4*m**2 + 0 = 0. What is m?
-20, 0, 1
Let a = 210 + -206. Let -7*y**4 + 5*y**a - 19*y**2 + 25*y**2 - 4*y**3 = 0. What is y?
-3, 0, 1
Let h(r) be the third derivative of 0 + 2/525*r**7 - 8/15*r**3 + 0*r - 2/75*r**6 + 1/25*r**5 + 56*r**2 + 2/15*r**4. Factor h(c).
4*(c - 2)**2*(c - 1)*(c + 1)/5
Let t(v) be the third derivative of v**6/900 - v**5/15 - 7*v**4/20 - 31*v**3/2 - v**2 - 27*v. Let z(j) be the first derivative of t(j). What is g in z(g) = 0?
-1, 21
Let s(w) be the third derivative of 8*w**7/105 + 3*w**6/10 - 2*w**5 - 4*w**4/3 - 645*w**2. Determine a so that s(a) = 0.
-4, -1/4, 0, 2
Let x(l) be the second derivative of l**7/21 - l**6/15 - 329*l**5/10 - 3455*l**4/6 - 13384*l**3/3 - 18032*l**2 - 6053*l. Let x(z) = 0. Calculate z.
-7, -4, 23
Factor f**3 - 5/3*f**2 + 0 - 4/3*f + 1/3*f**5 + 5/3*f**4.
f*(f - 1)*(f + 1)**2*(f + 4)/3
Let m(j) = -j + 2. Let i be m(0). Let c be (275 + -275)/(2 - 6). Factor c*d + 8/9*d**5 + 2*d**4 + 4/3*d**3 + 2/9*d**i + 0.
2*d**2*(d + 1)**2*(4*d + 1)/9
Let g(i) be the third derivative of -3/100*i**6 + 0*i**3 - 1/50*i**5 + 1/10*i**4 + 316*i**2 + 0 + 0*i + 1/175*i**7 + 1/280*i**8. What is t in g(t) = 0?
-2, -1, 0, 1
Suppose -130 = 3*n + 2*j, 2*n + 32 = 5*j - 42. Let g = n + 44. Suppose 7 + 7 - 35*o**g - 5*o**3 + 15*o**4 + 5*o**5 + 6 = 0. What is o?
-2, -1, 1
Let u = -3402/23 + 84254/207. Let l = 260 - u. Factor -98/9*w**3 + l + 154/9*w**2 - 64/9*w.
-2*(w - 1)*(7*w - 2)**2/9
Let x = -827350 + 827353. Determine l so that -4/9*l**x + 7744/9 - 2464/3*l - 116/3*l**2 = 0.
-44, 1
Find f, given that 211*f + 0 + 425/3*f**2 - 209/3*f**3 - 1/3*f**4 = 0.
-211, -1, 0, 3
Let t(a) be the first derivative of a**5/4 + 5*a**4/12 - 25*a**3/6 + 15*a**2/2 + 40*a - 29. Let m(p) be the first derivative of t(p). Factor m(l).
5*(l - 1)**2*(l + 3)
Suppose 8 = -9*x + 11*x. Suppose -x*y + 18 = 5*y. Factor -56 + j**2 + 2*j**y + 164 - 36*j.
3*(j - 6)**2
Let p = -53188/21 - -213655/84. Factor -11*d - p - 1/4*d**2.
-(d + 1)*(d + 43)/4
Let i = 5585/4 + -1396. Let z = -1/14 - -9/28. Let -i*r**3 + 1/4*r**4 + 1/2 + z*r - 3/4*r**2 = 0. What is r?
-1, 1, 2
Let d = -161 - -163. Factor -29*y**2 - 42*y**d - 90 - 325*y + 65*y**2 - 29*y**2.
-5*(y + 9)*(7*y + 2)
Let i(x) be the first derivative of 2*x**6 - 352*x**5/5 - 153*x**4 - 248*x**3/3 - 770. Find l, given that i(l) = 0.
-1, -2/3, 0, 31
Let m(s) = -18*s**2 + 196*s + 27. Let l be m(11). Suppose -2 = -4*p + 2*z, -l*p - 4*z - 22 = -44. Factor k**p - 1/4*k - 3/2*k**3 - 1/4*k**5 + k**4 + 0.
-k*(k - 1)**4/4
Suppose -5*n + 4*n = 3*x - 601, 4*x - 3*n - 797 = 0. Let m be 5*8/x*10. Determine p, given that -12 - 6*p - 3/4*p**m = 0.
-4
Let k(i) be the first derivative of -i**4/16 + 3*i**3/4 - 15*i**2/8 + 7*i/4 + 7226. Let k(u) = 0. What is u?
1, 7
Factor 90 + 20*s**2 - 60*s - 49*s + 192*s**3 - 99*s**3 - 94*s**3.
-(s - 10)*(s - 9)*(s - 1)
Let x(s) = -s**2 + 71*s - 1074. Let b be x(49). Suppose -9/2*n**5 + 10*n**3 + 1 - 11/2*n + 5*n**2 - 6*n**b = 0. Calculate n.
-2, -1, 1/3, 1
Let g(y) be the second derivative of -y**8/336 + y**7/280 - y**3/2 + 17*y**2 + 27*y. Let j(d) be the second d