 92*p**3/5 - 112*p**2 + 1915*p. Let r(k) = 0. Calculate k.
-2, 140
Determine x so that -100/9*x - 4/9*x**4 - 98/9*x**2 + 202/9*x**3 + 0 = 0.
-1/2, 0, 1, 50
Let c(r) = -r**3 - 2*r**2 - r - 2. Let j(s) = -368*s**3 - 33*s + 24 + 205*s - 208*s**2 + 416*s**3. Let x(z) = -4*c(z) + j(z). Factor x(f).
4*(f - 2)**2*(13*f + 2)
Let b(m) = -2144*m + 40738. Let v be b(19). Factor -1/3*w - 4/3*w**3 + 0 - 5/3*w**v.
-w*(w + 1)*(4*w + 1)/3
Suppose -3*p + 27 = 4*z - 0*z, 5*p = -z + 28. What is g in g**2 - 104*g - 2*g**z + 4*g**4 + g**2 + 105*g - 5*g**3 = 0?
-1/4, 0, 1
Let c be (6/(-8))/((-68)/238). Let j be -3 + 2 - (-4)/(192/66). Factor -j*d**2 + 3*d - c.
-3*(d - 7)*(d - 1)/8
Let q(p) be the third derivative of 0 + p - 35*p**2 + 5*p**3 + 1/60*p**5 + 17/24*p**4. Factor q(v).
(v + 2)*(v + 15)
Let r(c) be the third derivative of c**7/420 + 19*c**6/240 - 21*c**5/40 + 65*c**4/48 - 11*c**3/6 - 249*c**2 - c. Determine v so that r(v) = 0.
-22, 1
Let i(v) be the second derivative of -v**5/220 + 17*v**4/66 + 12*v**3/11 - 29*v. Determine a so that i(a) = 0.
-2, 0, 36
Let x(y) be the first derivative of -y**4/12 + 4*y**3 - 83*y**2/2 - 286*y/3 - 11168. Factor x(a).
-(a - 26)*(a - 11)*(a + 1)/3
Let t be ((-24)/242)/(12198/(-223630)). Factor -t*i + 0 - 2/11*i**3 + 2*i**2.
-2*i*(i - 10)*(i - 1)/11
Let r(u) be the third derivative of u**6/1260 + u**5/105 + u**4/21 + 8*u**3/63 + 2531*u**2. Let r(o) = 0. Calculate o.
-2
Determine t so that -56 - 1818*t + 541*t + 581*t + 523*t - 15*t**2 = 0.
-56/5, -1/3
Factor 418176*n - 1042272*n**2 + 0*n**4 - 13*n**4 - 2*n**4 + 14002*n**3 - 21916*n**3.
-3*n*(n + 264)**2*(5*n - 2)
Let k be (8/(-2) - 40170/(-10140))/(2/(-13)). Factor 3/2 - 1/4*q**2 + k*q.
-(q - 3)*(q + 2)/4
Let d be (-12 - -5) + 10 + (-4287)/10. Let b = 2666/5 + d. What is m in -b*m**3 - 5 + 50*m**4 + 60*m**2 + 5/2*m = 0?
-1/4, 2/5, 1
Let t(f) be the first derivative of f**3/15 - 7*f**2/5 + 375. Factor t(l).
l*(l - 14)/5
Let q(j) be the third derivative of j**7/140 - 21*j**6/20 + 441*j**5/10 + 102*j**2. Factor q(u).
3*u**2*(u - 42)**2/2
Let t be 25/72 + (-88)/704. Let 0 - t*w**2 - 4/9*w**3 - 2/9*w**4 + 0*w = 0. Calculate w.
-1, 0
Let m be (1 - -11) + (-13)/(52/16). Let n(r) = -9*r**2 - 99*r - 82. Let o(d) = -6*d**2 - 66*d - 55. Let g(z) = m*o(z) - 5*n(z). Determine w so that g(w) = 0.
-10, -1
Let x(y) be the third derivative of -y**6/280 + 537*y**5/140 + 269*y**4/28 - 15*y**2 + 5*y + 18. Factor x(z).
-3*z*(z - 538)*(z + 1)/7
Let a(q) be the second derivative of 3/2*q**3 + 1/4*q**4 + 1 + 41*q - 60*q**2. Factor a(s).
3*(s - 5)*(s + 8)
Let a(p) be the first derivative of -p**5/5 + 9*p**4/8 + 5*p**3/6 - 6615. Suppose a(g) = 0. What is g?
-1/2, 0, 5
Factor -8*s**3 - 4*s**2 + 8*s - 74*s**4 + 170*s**4 - 92*s**4.
4*s*(s - 2)*(s - 1)*(s + 1)
Solve 249*k**2 + 4*k**4 + 41*k**2 + 1252*k**3 - 912*k + 33*k**2 - 1080*k**3 + 413*k**2 = 0 for k.
-38, -6, 0, 1
Let d = -99265/2 - -49633. Let -5/8*x**2 + x + 1/8*x**3 - d = 0. Calculate x.
1, 2
Let z(x) = 50*x - 2. Let r be z(-1). Let y be ((-12)/(-8))/((-6)/r). Solve -4*k**3 + y*k - 15*k**2 + 3*k**2 + 0*k**3 - 21*k = 0.
-2, -1, 0
Let -172 - 135*l - 130 - 54 + l**2 + 98 - 4*l**2 = 0. What is l?
-43, -2
Let h be (-1)/(4/(-36)*3). Suppose -5*g + h*o = -292, -31 + 205 = 3*g - 3*o. Factor -g*x**4 + 59*x**4 + 3*x**5 - 3*x**3.
3*x**3*(x - 1)*(x + 1)
Let p be -1 + -3 - (-71 - 5). Suppose -19*a = -a - p. Factor -15*g**2 + 10*g**a - 16*g + 30*g + 5 - 9*g + 2*g**3 - 7*g**3.
5*(g - 1)**2*(g + 1)*(2*g + 1)
Let c = -143 - -146. Suppose -2*p + 12 - 4 = c*u, -u - 3 = -5*p. What is x in 0 + 2/3*x**u - 4/3*x = 0?
0, 2
Let h(r) be the second derivative of -r**4/18 - 7*r**3/3 + 46*r**2/3 - 9*r - 9. Determine a so that h(a) = 0.
-23, 2
Let l(j) = 3*j**2 + 132*j - 2653. Let f be l(15). Factor 8*g + 0 + 1/3*g**f.
g*(g + 24)/3
Determine m, given that -1 + 144*m + 916*m**3 + 7*m**2 - 917*m**3 + 1 = 0.
-9, 0, 16
Let r(w) be the third derivative of w**7/490 + 3*w**6/14 + 432*w**2 - 2. Factor r(s).
3*s**3*(s + 60)/7
Let i(v) be the first derivative of -v**6/10 - 21*v**5/25 - 33*v**4/20 - v**3 + 2222. Factor i(s).
-3*s**2*(s + 1)**2*(s + 5)/5
Let m(a) be the third derivative of -a**6/4 + 41*a**5/30 + 6*a**4 + 16*a**3/3 + 31*a**2 + 3*a + 1. Factor m(c).
-2*(c - 4)*(c + 1)*(15*c + 4)
Let d(k) be the first derivative of -13*k**3/2 - 255*k**2 - 78*k + 1299. Suppose d(s) = 0. What is s?
-26, -2/13
Let v(h) = -16*h**2 - 332*h + 442. Let n be v(-22). Factor -32/5*w - 256/5 - 1/5*w**n.
-(w + 16)**2/5
Suppose 102 = i + 3*l, -4*i + 5*l = -283 - 91. Let x be ((702/i)/(-13))/(3/(-4)). Factor -x*r**3 + 1/4*r**4 + 3/4*r**2 + 0 - 1/4*r.
r*(r - 1)**3/4
Suppose -5*m + 1663 = 3*y, 4*m = -m - y + 1661. Factor 30*z**2 + 84 - 62*z**2 - m*z + 16*z**2.
-4*(z + 21)*(4*z - 1)
Let h(l) be the first derivative of l**4/6 - 68*l**3/9 + 364*l**2/3 - 784*l + 1736. Let h(k) = 0. Calculate k.
6, 14
Let t(p) be the third derivative of 0*p - 23/120*p**5 - 1/24*p**4 + 0 + 0*p**3 - 60*p**2. Factor t(a).
-a*(23*a + 2)/2
Find y such that 2/9*y**3 + 242/9*y**2 + 478/9*y + 238/9 = 0.
-119, -1
Solve 42 - 54/5*a**2 + 18/5*a**4 + 21*a**3 - 279/5*a = 0.
-35/6, -2, 1
Let c(w) = 4*w**4 + 20*w**3 + 40*w**2 - 30*w. Let n(o) = -13*o**4 - 61*o**3 - 134*o**2 + 89*o. Let d(m) = 7*c(m) + 2*n(m). Factor d(q).
2*q*(q - 1)*(q + 2)*(q + 8)
Let u = -5417/5 + 1085. Let o = -2148/5 + 430. Solve -16/5*w - u - o*w**3 - 2*w**2 = 0.
-2, -1
Factor -838/7 - 836/7*t + 2/7*t**2.
2*(t - 419)*(t + 1)/7
Factor -374/7*z + 48 + 39/7*z**2 - 1/7*z**3.
-(z - 24)*(z - 14)*(z - 1)/7
Suppose 3*s = -2*t + 4, 5*t - 3*t - s = 12. Factor 110*l + 104*l**3 - t*l**4 - 43*l**3 - 18*l**2 - 21*l**3 - 87*l**2 - 40.
-5*(l - 4)*(l - 2)*(l - 1)**2
Factor -130/3*k**3 + 5/3*k**4 - 280/3*k**2 + 0 + 0*k.
5*k**2*(k - 28)*(k + 2)/3
Suppose -138*v**2 - 177*v - 12 + 5*v + 258*v**2 = 0. What is v?
-1/15, 3/2
Suppose -5*w + 44 = y, 0 = 3*y - 4*y + 2*w + 16. Find h, given that 28*h**2 + y*h + 72*h - 24*h**2 + 92 = 0.
-23, -1
Let j(d) = d**3 - 13*d**2 + 13*d - 10. Let h = 21 - 9. Let g be j(h). Factor 12*q - 3*q**2 - 80 + 28*q - 2*q**g.
-5*(q - 4)**2
Let f(w) = 123*w**4 - 487*w**3 + 8064*w**2 + 52907*w + 13. Let y(a) = -57*a**4 + 243*a**3 - 4032*a**2 - 26454*a - 6. Let b(m) = 6*f(m) + 13*y(m). Factor b(l).
-3*l*(l - 42)**2*(l + 5)
Let h(p) be the third derivative of p**7/336 - p**6/24 - 7*p**5/48 + 5*p**3/3 - 113*p**2. Let x(t) be the first derivative of h(t). Factor x(i).
5*i*(i - 7)*(i + 1)/2
Factor 19/8*p - 33/4 + 1/8*p**2.
(p - 3)*(p + 22)/8
Let h(n) be the first derivative of 2*n**2 + 4/27*n**3 + 8*n - 52. Factor h(t).
4*(t + 3)*(t + 6)/9
Suppose 4*t = 3*j - 25, -j + 5*t - 3*t = -11. Let r be (-162)/(-270) + ((-18)/10)/j. Let -5*s**2 - 2*s**3 + 0*s + r - 1/5*s**4 = 0. Calculate s.
-5, 0
Let t be 2266/(-309)*54/(-198). Solve -2/5*b**t + 24/5*b - 14 = 0 for b.
5, 7
Let w = 3395/6786 + -1/3393. Determine t, given that w*t**2 + 5*t + 8 = 0.
-8, -2
Let t(d) be the second derivative of -1/42*d**7 + 0 - 17/20*d**5 + 0*d**2 + 260*d - 7/30*d**6 - d**3 - 17/12*d**4. Factor t(k).
-k*(k + 1)**2*(k + 2)*(k + 3)
Factor -14/9*z - 1/9*z**3 + 7/9*z**2 + 8/9.
-(z - 4)*(z - 2)*(z - 1)/9
Let n(v) be the second derivative of -3*v**7/7 - 124*v**6/5 - 4717*v**5/10 - 2809*v**4 + 11930*v. Factor n(h).
-2*h**2*(h + 6)*(3*h + 53)**2
Let o(u) = -8*u**4 - 6*u**3 + 8*u**2 - 15*u + 7. Let h(a) = 7*a**4 + 6*a**3 - 9*a**2 + 14*a - 6. Let q(b) = -7*h(b) - 6*o(b). Factor q(g).
-g*(g - 1)**2*(g + 8)
Factor 492*z**3 - 610*z**2 - 1464*z**3 + 488*z**3 + 489*z**3.
5*z**2*(z - 122)
Find n, given that 32093*n**2 - 271572*n + 74681 + 26443 + 15*n**4 + 141544*n**2 - 2710*n**3 - 494*n**3 = 0.
3/5, 1, 106
Let x(m) = 59*m**2 - 119*m - 122. Let a(p) = 58*p**2 - 118*p - 129. Let t(i) = 4*a(i) - 3*x(i). Determine z so that t(z) = 0.
-10/11, 3
Let o(k) be the first derivative of -4*k**5/25 + 472*k**4/5 - 3744*k**3/5 + 2240*k**2 - 14912*k/5 - 4678. Determine c so that o(c) = 0.
2, 466
Let t(d) be the first derivative of 1/120*d**5 + 1/12*d**3 - 1/12*d**2 + 10*d + 22 - 1/24*d**4. Let o(g) be the first derivative of t(g). Factor o(p).
(p - 1)**3/6
Let o = -11902 - -27716. Factor 215*l + o*l**2 + 255*l - 15819*l**2 - 11045.
-5*(l - 47)**2
Let u be (-8)/6*(45/(-6))/5. Determine j, given that 42 + 39*j + 14 - 3*j - 24*j**u - 4*