**3 + 4/5*k + 18 - 8/5*k**w. Find p, given that o(p) = 0.
1/3, 1
Let b(g) be the first derivative of g**5/30 + 481*g**4/24 + 80*g**3/3 + 6094. Factor b(t).
t**2*(t + 1)*(t + 480)/6
Determine m, given that -65/2*m**2 - 5/4*m**3 - 225/2 + 585/4*m = 0.
-30, 1, 3
Let y(w) = -w - 3. Let h be y(2). Let v be (1/h)/(1/(-27)). Determine o so that v*o + 27/5*o**2 + 0 + 9/5*o**3 + 1/5*o**4 = 0.
-3, 0
Let b(a) = -20*a**3 + 579*a**2 - 2236*a + 532. Let h(x) = -18*x**3 + 579*x**2 - 2241*x + 531. Let r(c) = -3*b(c) + 4*h(c). Solve r(q) = 0 for q.
1/4, 4, 44
Let v(l) be the first derivative of -13*l**6/40 - 3*l**5/4 - l**4/4 - 11*l**2 + 2*l - 180. Let b(o) be the second derivative of v(o). Factor b(g).
-3*g*(g + 1)*(13*g + 2)
Let r(w) = -5*w**2 - 3*w - 4. Let p(o) = -13*o**2 - 8*o - 11. Let c(m) = 3*p(m) - 8*r(m). Let j(s) = 5*s**2 + 15*s + 10. Let f(a) = -2*c(a) + j(a). Factor f(z).
3*(z + 1)*(z + 4)
Factor -48*c**3 + 3*c**4 - 596569*c + 596201*c + 240 + 204*c**2 - c**4 + 2*c**4.
4*(c - 5)*(c - 3)*(c - 2)**2
Let b = 3867084/7 - 552440. Solve 664/7*q + b*q**2 + 27556/7 = 0.
-83
Let t be 128/24 - (10/(-6) + 2). Determine s, given that 4*s**t - 37*s - 4*s**3 + 21*s + 16*s**2 - 16*s**4 + 16*s**3 = 0.
-1, 0, 1, 2
Let z(q) be the second derivative of 361/9*q**2 + 55*q - 2 + 38/27*q**3 + 1/54*q**4. What is t in z(t) = 0?
-19
What is j in 453 - 6*j**3 - 1791/2*j**2 + 3177/2*j = 0?
-151, -1/4, 2
Let k(s) = -7*s**2 - 13*s + 2. Let b(j) = j**2 + j. Let h = -9 + 11. Suppose 0 = 5*n - y - 85, y = -3*n + 6*y + 29. Let q(o) = h*k(o) + n*b(o). Factor q(i).
4*(i - 1)**2
Let -6/5*i**3 - 756/5 + 30*i - 2/5*i**4 + 134/5*i**2 = 0. What is i?
-9, -3, 2, 7
Suppose 1813*c - 25254 - 2898 = 4482. Find g, given that 2/3*g**4 - 24*g - 4*g**2 - c + 8/3*g**3 = 0.
-3, -1, 3
Let m = 433 - 431. Factor 13 + 13*o + 53*o**m + 4 + 6 + 7 - 52*o**2.
(o + 3)*(o + 10)
Let n(m) be the second derivative of -m**5/10 + 97*m**4/3 - 9409*m**3/3 + 762*m. Factor n(j).
-2*j*(j - 97)**2
Suppose -674 - 52*v**3 - 186*v**3 - 44*v**3 - 1686*v - 1692*v**2 - 288*v**3 + 113 - 3*v**4 = 0. Calculate v.
-187, -1
Let f(m) be the first derivative of 2/15*m**3 + 21 + 0*m + m**2. Factor f(k).
2*k*(k + 5)/5
Suppose 2*i + 44 = 3*a, -4120*a - 56 = 4*i - 4124*a. Factor -8/5*p - 6/5*p**i + 8/5 + 4/5*p**3 + 2/5*p**4.
2*(p - 1)**2*(p + 2)**2/5
Factor -116*g - 165 - 37*g**2 + 541*g + 71*g**2 + 595 - 39*g**2.
-5*(g - 86)*(g + 1)
Let m(b) = 6*b + 16. Let o be m(-2). Let c(j) be the first derivative of -11 - 4/3*j**2 - 2/3*j**o - 2/3*j - 2/15*j**5 - 4/3*j**3. Factor c(z).
-2*(z + 1)**4/3
Suppose 5*k = -5*q + 20, 5*k - 30 = -282*q + 287*q. Let h(c) be the first derivative of -k*c + 6 - 5/3*c**3 - 5*c**2. Factor h(b).
-5*(b + 1)**2
Let a(u) be the first derivative of -14/9*u**3 + 2/3*u - 2/3*u**4 + 32 - 2/3*u**2. Determine s so that a(s) = 0.
-1, 1/4
Suppose -3*m - 2*b + 14 = 2*b, 2*b = -m + 6. What is h in h + 6*h**2 - 5*h + 4*h**4 - m*h**4 - 4*h**4 = 0?
-2, 0, 1
Let y(a) be the third derivative of -1/840*a**6 - a**2 + 0*a + 1/168*a**4 + 1/60*a**5 + 1 - 1/6*a**3. Find i such that y(i) = 0.
-1, 1, 7
Let r(p) be the first derivative of -6/5*p**3 - 1/10*p**4 + 0*p - 4*p**2 - 57. Determine w so that r(w) = 0.
-5, -4, 0
Let w(h) = -h**2 + 10*h + 115. Let y be w(-6). Suppose -4*g = -5*q - 1, 19*g = 15*g - q + y. Factor j + 1/3*j**3 + 1/2*j**g - 19/6*j**2 + 0.
j*(j - 2)*(j + 3)*(3*j - 1)/6
What is q in -591/4*q**2 - 3*q**5 + 0*q + 0 - 594*q**4 - 2367/4*q**3 = 0?
-197, -1/2, 0
Let j(s) be the first derivative of -5/2*s**4 + 128/3*s**3 + 74 + 96/5*s - 244/5*s**2. Factor j(v).
-2*(v - 12)*(5*v - 2)**2/5
Let p(a) = -1. Let t(d) = -76*d**2 + 144*d + 20. Suppose 2*c = -8*y + 7*y + 6, 5*c = 2*y - 3. Let i(o) = c*t(o) + 4*p(o). Factor i(u).
-4*(u - 2)*(19*u + 2)
Let p(w) be the second derivative of w**4/32 - 11*w**3/2 - 135*w**2/4 - w + 1504. Find g such that p(g) = 0.
-2, 90
Let l(i) be the first derivative of -5*i**6/2 - 26*i**5 + 10*i**4 + 1520*i**3/3 - 600*i**2 - 1440*i + 1100. Solve l(b) = 0 for b.
-6, -2/3, 2
Let g(k) be the second derivative of 1/72*k**4 + 84*k + 0 - 7/36*k**3 + k**2. Solve g(l) = 0 for l.
3, 4
Let h = -573 + 577. Factor -12*v**3 - 17*v**3 - 8*v**4 - h*v + 39*v**3 + 14*v**2.
-2*v*(v - 2)*(v + 1)*(4*v - 1)
Let r(w) be the third derivative of -w**6/40 - 37*w**5/10 + 75*w**4/8 + 8*w**2 - 102. Factor r(x).
-3*x*(x - 1)*(x + 75)
Factor 253449*m + 253366*m + m**2 - 506909*m + 528.
(m - 88)*(m - 6)
Let x be 42/2*((-4140)/35190 + 62/238). Let v = -198 + 2180/11. Determine h so that 4/11*h + 0 - 2/11*h**x + v*h**2 = 0.
-1, 0, 2
Find r, given that 5/6*r**5 - 10/3*r**4 - 40/3 - 25/6*r**3 + 50/3*r**2 + 10/3*r = 0.
-2, -1, 1, 2, 4
Let q(k) be the third derivative of -k**5/210 + 3685*k**4/84 + 3686*k**3/21 - 934*k**2. Factor q(g).
-2*(g - 3686)*(g + 1)/7
Let s(k) be the third derivative of -k**7/1890 - 11*k**6/1080 + 13*k**5/180 + 17*k**4/8 - 9*k**3 - 18*k**2. What is g in s(g) = 0?
-9, 1, 6
Let a be ((-149)/(-2682))/(10/174) + 8/(-60). Let m(r) be the first derivative of -a*r**3 + 25 + 2*r**2 + 1/8*r**4 - 2*r. Factor m(z).
(z - 2)**2*(z - 1)/2
Let h be -2 - 9 - ((-32 - -28) + -12). Factor 0*j + 1/8*j**2 + 1/8*j**h + 0 + 3/8*j**3 + 3/8*j**4.
j**2*(j + 1)**3/8
Let d(h) be the second derivative of 14/9*h**2 - 5/9*h**3 + 1/54*h**4 - 124*h + 0. Factor d(v).
2*(v - 14)*(v - 1)/9
Let l(o) = 20*o**4 + 405*o**3 + 1405*o**2 + 315*o - 720. Let s(h) = -h**4 - 2*h**3 - h**2 + h. Let g(j) = l(j) - 15*s(j). Factor g(x).
5*(x + 1)*(x + 6)**2*(7*x - 4)
Suppose -237*s + 105*s = -108*s. Let g(v) be the third derivative of -1/40*v**5 - 1/240*v**6 + 20*v**2 + s*v**3 - 1/24*v**4 + 0*v + 0. Factor g(n).
-n*(n + 1)*(n + 2)/2
Determine z so that -2/3*z**5 + 1/3*z**4 + 20/3*z**3 - 6*z - 10/3*z**2 + 3 = 0.
-3, -1, 1/2, 1, 3
Let l(o) = -o**3 - 161*o**2 - 3*o - 69. Let v(u) = 2*u**2 + u + 23. Let s(b) = -2*l(b) - 6*v(b). Factor s(w).
2*w**2*(w + 155)
Let f(l) be the first derivative of -l**4/42 + 58*l**3/63 + 65*l**2/21 - 62*l/7 - 5057. Factor f(i).
-2*(i - 31)*(i - 1)*(i + 3)/21
Let m be 3280/180 - 4/18. Suppose -4*h + 2*h = 2, -3*i = -3*h - m. Solve -3*z**3 - 7*z**4 + i*z**4 + 5*z**4 = 0.
0, 1
Let w = 8153 - 8153. Let x(g) be the first derivative of -3/28*g**4 + 0*g**2 - 2/21*g**3 + 0*g + w*g**5 + 1/42*g**6 + 4. Solve x(v) = 0 for v.
-1, 0, 2
Let x(j) be the second derivative of -j**4/12 - 44*j**3/3 + 273*j**2/2 + 2*j + 267. Factor x(q).
-(q - 3)*(q + 91)
Let b(u) = 97*u**2 + 3593*u + 151. Let j be b(-37). Factor -4/3*f**2 + 8/9*f + 8/9*f**j - 2/9 - 2/9*f**4.
-2*(f - 1)**4/9
Let z(s) be the second derivative of -s**5/50 - 109*s**4/30 - 141*s**3/5 - 63*s**2 + 6*s - 136. Suppose z(h) = 0. What is h?
-105, -3, -1
Let k be (-2 - 91/(-35))*(-20)/(-4). Suppose -9 = -2*u - u + k*o, 5*u + o - 9 = 0. Let 1/3*r - 1/3*r**3 + 1/2*r**4 - 2/3*r**u + 1/6 = 0. What is r?
-1, -1/3, 1
Let d(o) = -968 - 68*o + 5*o + 4*o - 21*o**2 - 91*o. Let q(h) = -10*h**2 - 76*h - 484. Let f(k) = 6*d(k) - 13*q(k). Determine l so that f(l) = 0.
-11
Let r(a) be the first derivative of 7*a**5/20 + 11*a**4/4 - 59*a**3/4 - 27*a**2/4 - 3631. Find t, given that r(t) = 0.
-9, -2/7, 0, 3
Let c(p) be the second derivative of -2/15*p**4 + 2 + 8/225*p**6 + 1/50*p**5 - 1/105*p**7 - 4/45*p**3 + 0*p**2 - 24*p. Solve c(a) = 0.
-1, -1/3, 0, 2
Let g(c) be the first derivative of -8*c**2 - 43*c + 6. Let v be g(-7). Factor -116 + 114*o**2 + v*o**3 - 96*o + o**4 + 8*o**4 + 20.
3*(o - 1)*(o + 4)**2*(3*o + 2)
Let b(i) be the first derivative of -2*i**5/35 + 5*i**4/7 + 40*i**3/7 - 40*i**2/7 - 64*i - 143. Determine q, given that b(q) = 0.
-4, -2, 2, 14
Let -494/3*y**2 + 8/3 + 162*y**4 - 104*y**3 + 104*y = 0. What is y?
-1, -2/81, 2/3, 1
Let p(d) = 6*d**3 - 1386*d**2 - 1392*d + 5. Let c(y) = -15*y**3 + 3465*y**2 + 3480*y - 12. Let a(v) = -5*c(v) - 12*p(v). Factor a(j).
3*j*(j - 232)*(j + 1)
Let x(c) be the second derivative of -2*c**6/75 - 12*c**5/25 + 9*c - 23. Suppose x(n) = 0. Calculate n.
-12, 0
Let a be (-891)/330*(-32)/216. Factor 0 - 16/5*h - a*h**2.
-2*h*(h + 8)/5
Let r = 1818 + -1816. Let s(k) be the first derivative of 8/9*k + 4/9*k**r - 26/27*k**3 - 36 + 5/18*k**4. Solve s(z) = 0.
-2/5, 1, 2
Factor 72/7*u + 3/7*u**3 + 6*u**2 + 0.
3*u*(u + 2)*(u + 12)/7
Let k(l) be the third derivative of l**6/360 + 19*l**5/