 r*d**3 - 14*d**5 + 12*d**5 = 0. Calculate d.
-1, 0, 2
Let i(z) be the first derivative of 4/3*z + 92 + 5/6*z**2 + 1/9*z**3. Factor i(w).
(w + 1)*(w + 4)/3
Let w(m) = 18*m**4 - m**3 - 1. Let q(n) = -38*n**4 + 8*n**2 + 8*n + 2. Let i(a) = -q(a) - 2*w(a). Factor i(l).
2*l*(l - 2)*(l + 1)*(l + 2)
Find z, given that 87*z**2 + 44 + 21*z + 33*z + 26 - 92*z**2 + 11*z = 0.
-1, 14
Let a = -36283 + 108862/3. Factor 0 + z - a*z**2 + 4/3*z**3.
z*(z - 3)*(4*z - 1)/3
Suppose 3*p - 4 = 2*a, -4*a = -4*p + 6 - 2. Let y(t) be the second derivative of -1/100*t**5 + 1/20*t**4 - 2/5*t**2 + 0*t**3 - 2*t + p. Solve y(j) = 0.
-1, 2
Let q(h) = 303*h**2 + 15*h - 13. Let g be q(7). Factor g + s**2 - 14971 + s**2.
2*(s - 4)*(s + 4)
Let i(n) be the second derivative of -2/19*n**2 - 2/57*n**4 + 5/57*n**3 + 1/190*n**5 + 7*n - 3. Solve i(o) = 0 for o.
1, 2
Factor 375 - 35*w**2 + 6947*w + 5*w**3 + 6916*w - 13888*w.
5*(w - 5)**2*(w + 3)
Let u(v) be the first derivative of 10*v**6/21 + 124*v**5/35 - 37*v**4 + 388*v**3/21 + 940*v**2/7 + 352*v/7 + 2518. Determine j, given that u(j) = 0.
-11, -1, -1/5, 2, 4
Let u(n) = -9*n**3 + 26*n**2 - 230*n + 334. Let l(b) = 33*b**3 - 79*b**2 + 691*b - 1001. Let d(x) = -2*l(x) - 7*u(x). Factor d(c).
-3*(c - 4)*(c - 2)*(c + 14)
Let a be ((-1224)/(-150))/(-34)*-60. Factor 0 + a*p**4 + 0*p - 24/5*p**3 + 2/5*p**2.
2*p**2*(6*p - 1)**2/5
Let f = 1657945 - 1657941. Factor 0 - 28/3*z**2 - 4/3*z**4 + 20/3*z**3 + f*z.
-4*z*(z - 3)*(z - 1)**2/3
Let y(q) = q**3 - 19*q**2 + 22*q - 70. Let t be y(18). Factor -4*x**t + 20*x + 61 - 6*x**3 - 27 + 2*x**3 - 46.
-4*(x - 1)**2*(x + 3)
Let l(b) be the third derivative of -b**6/660 + 3*b**5/110 + 67*b**4/44 - 19*b**3/3 + 4*b**2 + 176. Determine z so that l(z) = 0.
-11, 1, 19
Let m be ((-72)/27)/(264/(-297)). Factor -2/3*g**m - 2*g**5 + 0 + 0*g + 0*g**2 - 8/3*g**4.
-2*g**3*(g + 1)*(3*g + 1)/3
Let z(h) be the second derivative of 1/4*h**4 - 11/2*h**3 + 27*h**2 - 2*h - 4. Factor z(s).
3*(s - 9)*(s - 2)
Let n be 19754/170 - (2/10 + 0). Factor -23*q**2 - n*q + 7*q**3 - q**3 + 80 + 13*q**2.
2*(q - 5)*(q + 4)*(3*q - 2)
Solve -572 + 657*h - 860*h + 133*h**2 + 2*h**3 + 640 = 0.
-68, 1/2, 1
Suppose 0 = 6*b - b - 2*o - 12, 3 = -3*o. Determine i so that 5*i**4 + 6*i**2 - 3*i**2 + 25*i - 8*i**b - 25*i**3 = 0.
-1, 0, 1, 5
Let q(n) = -12*n**3 - 155*n**2 + 1585*n + 143. Let m(h) = 4*h**3 + 52*h**2 - 528*h - 52. Let c(i) = -11*m(i) - 4*q(i). Factor c(r).
4*r*(r - 7)*(r + 19)
Let d(v) be the first derivative of 3*v**4/16 + 33*v**3/4 + 189*v**2/2 + 5105. Factor d(z).
3*z*(z + 12)*(z + 21)/4
Let d be 158/(-18) + 4/(-18) + 143/(95 - 82). Factor 1/2*o**3 + 22*o - 7*o**d - 20.
(o - 10)*(o - 2)**2/2
Suppose 6 + 28 = -2*c - 4*s, 4*c + s - 9 = 0. Factor 5/2*f**4 + 0*f**3 + 5/6*f**c + 0*f + 0 + 0*f**2.
5*f**4*(f + 3)/6
Let h(g) = g**3 + 5*g**2 + 7*g + 9. Let j be h(-4). Let x be j*10/((-100)/15). Find q, given that -x*q**2 + 5/4*q**3 + 3/2 + 7/4*q = 0.
-2/5, 1, 3
Suppose -2411*h**4 + 4838*h + 2136 - 2408*h**4 - 708*h**3 - 1266*h + 732*h**2 + 4815*h**4 = 0. What is h?
-178, -1, 3
Determine p so that -5125*p - 4814*p + 1680*p**2 - 6079*p + 1688 + 4*p**3 + 12646*p = 0.
-422, 1
Let n(h) = 12*h + 204. Let y be n(-17). Let b(f) = 4*f - 6. Let m be b(3). Determine k so that y*k + 1 + 5 + 12*k + m + 3*k**2 = 0.
-2
Suppose -3*d = s + 34 - 39, 2*s - 10 = -5*d. Suppose 6*h - 3*h = -15, d = -5*c - 4*h. Let 0 - 4*a + 4/3*a**2 + c*a**3 - 4/3*a**4 = 0. Calculate a.
-1, 0, 1, 3
Let x(d) be the third derivative of -d**6/24 + 589*d**5/12 + 5905*d**4/24 + 985*d**3/2 + 3148*d**2. What is c in x(c) = 0?
-1, 591
What is f in 0 + 209*f**2 + 0*f - 211/2*f**3 + 1/2*f**4 = 0?
0, 2, 209
Let x be (-55025)/(-700) + 15 - 7/(-49). Determine o, given that 2775/2*o**4 - x*o**5 - 2784*o - 384 - 4245*o**3 - 6486*o**2 = 0.
-2/5, 8
Let s(r) be the second derivative of 2*r**6/15 - 28*r**5/5 + 65*r**4 + 56*r**3/3 - 392*r**2 + 25*r + 1. What is z in s(z) = 0?
-1, 1, 14
Let x(j) = -2*j**2 + 291*j - 1079. Let v(w) = -w**2 - 7*w - 2. Let a(c) = 7*v(c) - x(c). Factor a(m).
-5*(m - 3)*(m + 71)
Let s(g) be the second derivative of -5*g**4/28 - 4*g**3 + 72*g**2/7 - 25*g - 1. Factor s(o).
-3*(o + 12)*(5*o - 4)/7
Suppose 13*l + 100 = 15*l. Find q such that -24*q**2 - l*q**2 + 71*q**2 - 33*q = 0.
-11, 0
Let t(z) be the first derivative of 124 - 9/2*z**4 + 16*z + 47*z**2 + 44*z**3. Factor t(b).
-2*(b - 8)*(3*b + 1)**2
Let 665336/17 + 5232*t - 858/17*t**2 + 2/17*t**3 = 0. Calculate t.
-7, 218
Let i be (-9)/(-45) - -1*27/15. Suppose -5*y + 8 = -i. Factor 0*h - 2/3*h**y + 2/3.
-2*(h - 1)*(h + 1)/3
Let p = -280584 - -841760/3. Solve -1/3*h**3 - 7/3*h**2 + 0 + p*h = 0.
-8, 0, 1
Let j(i) = i - 1. Let s be -2*2*2/4. Suppose 357 = 9*n + 339. Let g(o) = -o**4 + o**3 + o**2 - 1. Let f(t) = n*j(t) + s*g(t). Suppose f(u) = 0. Calculate u.
-1, 0, 1
Solve -5/8*r**3 - 281/4*r**2 - 784 - 1988*r = 0.
-56, -2/5
Let t(b) be the second derivative of -1/180*b**6 - 2/9*b**3 + 1/24*b**4 + 1/3*b**2 + 1/60*b**5 + 0 + 126*b. Factor t(n).
-(n - 2)*(n - 1)**2*(n + 2)/6
Let h = -378 + 385. Let 11*f**2 - 9*f**2 - 7*f - 31 - 5 - h*f = 0. What is f?
-2, 9
Let f(u) be the third derivative of 5*u**8/1344 - 5*u**7/42 + 19*u**6/96 - 2*u**2 - 2*u - 258. Solve f(p) = 0 for p.
0, 1, 19
Let g(f) be the second derivative of 0 + 9/2*f**3 - 81*f + 25/8*f**4 - 9/40*f**5 + 0*f**2. Factor g(x).
-3*x*(x - 9)*(3*x + 2)/2
Let s(z) be the third derivative of z**8/504 + z**7/35 + 13*z**6/90 + 17*z**5/45 + 7*z**4/12 + 5*z**3/9 - 7*z**2 - 3*z. Determine b so that s(b) = 0.
-5, -1
Let j(m) be the second derivative of -m**7/126 + 11*m**6/90 - 11*m**5/20 + 37*m**4/36 - 7*m**3/9 + 2684*m. Determine u, given that j(u) = 0.
0, 1, 2, 7
Let s(b) be the second derivative of b**6/45 - 26*b**5/5 + 449*b**4/6 - 3544*b**3/9 + 784*b**2 + 6291*b. Solve s(o) = 0 for o.
1, 4, 147
Let c = 11285 + -11285. Let i(m) be the third derivative of 1/96*m**4 + 11*m**2 + c*m + 0*m**3 + 0 - 1/480*m**5. Factor i(d).
-d*(d - 2)/8
Let v(q) be the third derivative of 14*q + 2*q**2 + 2/21*q**3 - 1/1470*q**7 - 1/420*q**6 + 1/140*q**5 + 1/21*q**4 + 0. Suppose v(j) = 0. What is j?
-2, -1, 2
Let m = -1086 - -619. Let w = m - -471. Find l, given that 32/9*l**2 + 2/9*l**w + 0 + 0*l + 16/9*l**3 = 0.
-4, 0
Let r(a) be the third derivative of 0 + 1/16*a**5 - 13/96*a**4 - 41*a**2 + 1/840*a**7 + 0*a - 7/480*a**6 + 1/6*a**3. Solve r(s) = 0.
1, 4
Let h(q) be the first derivative of 2*q**3/3 + 304*q**2 + 606*q - 13227. Factor h(v).
2*(v + 1)*(v + 303)
Suppose -u**2 - 2/3*u**3 - 2/3*u - 1/6*u**4 - 1/6 = 0. What is u?
-1
Suppose -32 = -22*x + 12. Suppose -3*i - 2 = c - 0, -x = -i + c. Let -10/9*d**3 + i*d + 2/9*d**4 + 4/9*d**5 + 0 + 4/9*d**2 = 0. Calculate d.
-2, 0, 1/2, 1
Suppose -45*d + 46*d + 826 = 0. Let q = -826 - d. Factor -3/5*p**4 + 0*p + 3/5*p**5 - 3/5*p**3 + 3/5*p**2 + q.
3*p**2*(p - 1)**2*(p + 1)/5
Let b = -1673 + 1673. Let g(p) be the third derivative of b*p**3 - 1/60*p**5 + 0 + 3*p**2 + 0*p - 1/8*p**4. Factor g(c).
-c*(c + 3)
Let g(w) be the third derivative of -w**8/168 - w**7/105 + 31*w**6/60 + 73*w**5/30 - 5*w**4/2 - 24*w**3 + 50*w**2 - 4*w. Determine v, given that g(v) = 0.
-4, -3, -1, 1, 6
Let j = -37 - -46. Let z(w) = -w + 11. Let h be z(j). Solve 13 - 3*s**h + 4 - 17 = 0.
0
Determine w, given that -61250/11 - 702/11*w**2 + 61950/11*w + 2/11*w**3 = 0.
1, 175
Let f(u) = 29*u**2 + 382*u + 2174. Let y(z) = 38*z**2 + 509*z + 2898. Let s(i) = -9*f(i) + 7*y(i). Factor s(n).
5*(n + 9)*(n + 16)
Solve s**4 + 0 - 14/5*s**2 - 9/10*s + 87/10*s**3 = 0.
-9, -1/5, 0, 1/2
Let s be 237 + -238 + 9/8. Factor -3/8 - s*d**3 + 3/8*d**2 + 1/8*d.
-(d - 3)*(d - 1)*(d + 1)/8
Let t(i) be the first derivative of -3*i**5 + 40*i**4 - 425*i**3/3 + 140*i**2 + 3615. Factor t(b).
-5*b*(b - 7)*(b - 1)*(3*b - 8)
Let x(z) be the second derivative of z**6/72 + z**5/6 - 25*z**4/24 - 250*z**3/9 + 23*z**2 + 113*z. Let k(l) be the first derivative of x(l). Factor k(g).
5*(g - 4)*(g + 5)**2/3
Let k = -320 + 2243/7. Let l be -4*-2*(-4)/(-16). Determine q so that 3/7*q**l + 0 + k*q = 0.
-1, 0
Solve 72 - 7*j**2 - 24*j**2 + 416922*j - 3*j**4 - 40*j**3 - 416712*j = 0 for j.
-12, -3, -1/3, 2
Suppose 4*r - 4*h = -r + 23, 3*h - 3 = -3*r. Factor 9*x**2 - 14*x**2 + x**3 + 0*x**2 + x**4 + r*x**3.
x**2*(x - 1)*(x + 5)
Let i(