z**3/3 - 3*z + 87. Let k(g) be the third derivative of d(g). Solve k(f) = 0 for f.
-6, -2
Let h(q) be the second derivative of 1/6*q**3 + 1/15*q**4 + 1/5*q**2 + 1/100*q**5 - 2*q - 8. Factor h(u).
(u + 1)**2*(u + 2)/5
Let j be 440/231*(6 + 3). Let d = -586/35 + j. Factor d*k**2 - 6/5*k**3 - 2/5*k**4 + 6/5*k + 0.
-2*k*(k - 1)*(k + 1)*(k + 3)/5
Solve 0*g**3 - 9*g**3 + 7*g**3 - 86*g**2 - 1313*g + 1073*g = 0.
-40, -3, 0
Let z(o) be the second derivative of -o**6/1440 - o**5/160 - o**4/48 - 41*o**3/6 + o**2 - 3*o - 8. Let m(x) be the second derivative of z(x). Factor m(w).
-(w + 1)*(w + 2)/4
Let k = 132 - 130. Factor 256*j**2 + 230*j**2 + 5*j**4 + 144*j**2 - 130*j + 210*j**k + 130*j**3 - 845.
5*(j - 1)*(j + 1)*(j + 13)**2
Let y(i) be the third derivative of i**5/30 + 89*i**4/2 + 23763*i**3 + 183*i**2 - 1. Let y(k) = 0. Calculate k.
-267
Let d(h) be the third derivative of -h**9/18144 - h**8/10080 + 20*h**3/3 - 63*h**2 - 2. Let v(o) be the first derivative of d(o). What is c in v(c) = 0?
-1, 0
Let z(r) be the first derivative of -r**4/24 - 17*r**3/18 - 25*r**2/6 + 88*r/3 - 7205. Factor z(u).
-(u - 2)*(u + 8)*(u + 11)/6
Let z(h) = h**2 + 2*h - 6. Let f = 43 - 47. Let l be z(f). What is y in -y**l + 2*y**3 + y**4 + 0*y**4 + 3*y**2 - 2*y**5 - 3*y**4 = 0?
-1, 0, 1
Let x(a) be the second derivative of a**6/165 + 9*a**5/55 + 17*a**4/66 - 588*a. Let x(b) = 0. What is b?
-17, -1, 0
Let h(m) be the first derivative of 1/8*m**4 - 3/80*m**5 + 16*m - 1/8*m**3 + 0*m**2 - 18. Let d(j) be the first derivative of h(j). Factor d(x).
-3*x*(x - 1)**2/4
Suppose -461269 - 7*p**2 + 16*p**2 - 3340*p - 12*p**2 - 2*p**2 - 96511 = 0. Calculate p.
-334
Let y(n) be the first derivative of -n**3/3 + 9*n**2/2 - 8*n - 1141. Determine h so that y(h) = 0.
1, 8
Let n(q) = q**3 + 7*q**2 + 8*q + 7. Let d be n(-6). Let k be -1 - (d + -4 + 1). Let 9 + k*h**3 + h**3 - 16*h**2 + 3 - 4*h - 4*h + 4*h**4 = 0. What is h?
-3, -1, 1
Let x(r) be the first derivative of -r**3/5 - 51*r**2/2 - 3312*r/5 - 4083. Factor x(b).
-3*(b + 16)*(b + 69)/5
Let k(h) be the second derivative of h**5/10 + 13*h**4/6 + 14*h**3 - 3*h - 357. Find y such that k(y) = 0.
-7, -6, 0
Let q be (2/144)/((-1440)/(-64800)). Factor 0 - q*v**2 + 1/8*v**3 + 0*v.
v**2*(v - 5)/8
Factor 932 - 37*i**2 - 466 + 9*i**3 + 4*i - 466.
i*(i - 4)*(9*i - 1)
Factor 0*m**4 - 6*m**2 - 11/3*m**3 + 1/3*m**5 + 0 - 8/3*m.
m*(m - 4)*(m + 1)**2*(m + 2)/3
Let h(v) = -v**3 + 24*v**2 - 45*v - 2. Let u(l) = 3*l**3 - 71*l**2 + 133*l + 3. Let t(x) = 17*h(x) + 6*u(x). What is p in t(p) = 0?
1, 16
Let p(y) be the second derivative of -y**9/52920 - y**8/23520 + y**7/1470 + 5*y**4/6 - y**3/6 - 33*y - 2. Let m(g) be the third derivative of p(g). Factor m(d).
-2*d**2*(d - 2)*(d + 3)/7
Suppose -11*f + 1056 = -0*f. What is g in -24*g**2 + 11*g**4 - 71*g**3 + f*g**3 + 88*g**3 + 4*g**4 + 4*g**3 = 0?
-8, 0, 1/5
Let g(b) be the third derivative of b**5/12 - 5*b**4/6 - 25*b**3/6 + 2385*b**2. Solve g(a) = 0.
-1, 5
Let j be 9 - 2 - (16/7 - 58/203). Let s(a) be the third derivative of 0 + 1/105*a**j + 0*a**3 + 0*a + 0*a**4 + 19*a**2. What is w in s(w) = 0?
0
Let -72/7 + 3/7*f**2 + 30/7*f = 0. What is f?
-12, 2
Suppose -3*f + 8*a = -44, -5*a - 16 - 8 = -f. Let c(q) be the third derivative of 1/12*q**f + 0*q + 0*q**3 + 4*q**2 + 0*q**5 + 0 - 1/60*q**6. Factor c(u).
-2*u*(u - 1)*(u + 1)
Suppose -2/7*h**3 + 74*h**2 - 33280/7*h - 33800/7 = 0. What is h?
-1, 130
Suppose -44/3*y + 2/3*y**2 + 80/3 = 0. What is y?
2, 20
Let g(z) = 4*z**2 + z - 1. Let r(d) = -d**3 + 9*d**2 + d - 3. Let p(u) = -5*g(u) + 2*r(u). Let k be p(-1). Factor -22*w + 13 + 8*w**2 + k*w - 5.
4*(w - 2)*(2*w - 1)
Let g(n) = -25*n**3 + 88*n**2 - 52*n + 11. Let u(i) = -9*i**3 + 30*i**2 - 17*i + 4. Let j(y) = -4*g(y) + 11*u(y). Suppose j(q) = 0. What is q?
0, 1, 21
Suppose 389*i - 392*i = 0. Let b(w) be the second derivative of -3/2*w**2 + i*w**4 + 18*w + 0 - w**3 + 3/10*w**5 + 1/10*w**6. What is a in b(a) = 0?
-1, 1
Let b(c) be the second derivative of -c**6/135 + c**5/45 + 29*c**4/54 - 10*c**3/9 - 9*c - 38. Factor b(h).
-2*h*(h - 6)*(h - 1)*(h + 5)/9
Let d(k) be the first derivative of 0*k - 2/33*k**3 - 151 + 7/11*k**2. Solve d(n) = 0 for n.
0, 7
Let a(l) = 8*l + 16*l**2 - 36*l**2 - 80*l - 130 + 46. Let i(r) = 13*r**2 + 49*r + 56. Let b(y) = 5*a(y) + 8*i(y). Factor b(p).
4*(p + 1)*(p + 7)
Determine f so that 1104/17*f**2 + 0 + 2/17*f**3 + 152352/17*f = 0.
-276, 0
Let p(r) be the third derivative of -r**6/90 + 211*r**5/45 + 1862*r**2. Factor p(l).
-4*l**2*(l - 211)/3
Determine l, given that 868071*l**3 - 7*l**2 + 10*l**4 - 868007*l**3 + 55*l**2 + 18*l**4 + 4*l**5 = 0.
-3, -2, 0
Let x be 21/5670*-6*-21 - (-3)/15. Factor -4*b**3 + x*b**4 - 16/3*b + 8*b**2 + 0.
2*b*(b - 2)**3/3
Let l(o) = -12*o - 20*o**3 + 3*o**2 + 21*o**3 - 14*o**2 + 11. Let b be l(12). Factor -9 - 7 - b*k**3 + 20 + 6*k + 3*k**3 + 2*k**5 - 4*k**2.
2*(k - 2)*(k - 1)*(k + 1)**3
Let t(v) be the second derivative of -v**4/138 - 367*v**3/69 + 1110*v**2/23 - 3052*v. Find o such that t(o) = 0.
-370, 3
Determine b, given that 19*b**4 + 453*b**3 - 140*b**2 + 121*b**4 - 722*b**3 + 474*b**3 - 11*b + 31*b = 0.
-2, 0, 1/4, 2/7
Let f(b) be the third derivative of -b**5/30 - 573*b**4 - 3939948*b**3 + 11221*b**2. Factor f(z).
-2*(z + 3438)**2
Let i(p) be the third derivative of 1/102*p**4 + p**2 - 1/1785*p**7 + 1/340*p**6 - 1/2856*p**8 + 1/102*p**5 + 0*p - 39 + 0*p**3. Factor i(u).
-2*u*(u - 2)*(u + 1)**3/17
Let i be (3/9 - (-116)/(-6))*1. Let w = -14 - i. Factor -2*n**2 + 10*n**4 - w*n**3 + 57*n**5 + 2*n**2 - 62*n**5.
-5*n**3*(n - 1)**2
Let g(j) be the third derivative of j**5/12 - 205*j**4/2 + 50430*j**3 + 4*j**2 + 50. Factor g(y).
5*(y - 246)**2
Let g be (6/15)/1 - 198/(-55). Let l(i) be the second derivative of 1/18*i**g + 2/15*i**5 + 16*i - 16/9*i**3 - 4/3*i**2 + 0. Solve l(m) = 0 for m.
-2, -1/4, 2
Let s = 43432 + -43430. Suppose -1/3*j**s + 0 + j = 0. What is j?
0, 3
Let i(b) = -b**3 + 8*b**2 + 10*b - 7. Let a be i(9). Find y such that -403 + 40*y - 347 + y**2 + 650 + 4*y**a = 0.
-10, 2
Let n(z) = 11*z**2 - 52*z - 25. Let r be n(11). Let d = 1477/2 - r. Solve d*j**2 - 2*j**4 + 0 - 3/2*j**3 - j = 0.
-2, 0, 1/4, 1
Solve 32/11*u - 1003/11*u**4 + 0 + 289/11*u**5 + 1002/11*u**3 - 320/11*u**2 = 0.
0, 4/17, 1, 2
Let p(l) be the second derivative of -40*l + 0*l**2 + 1/3*l**3 - 19/36*l**4 + 3 - 7/60*l**5. Factor p(k).
-k*(k + 3)*(7*k - 2)/3
Let g(a) be the second derivative of a**4/36 - 1763*a**3/18 + 881*a**2/3 - 5676*a. Determine h, given that g(h) = 0.
1, 1762
Let s(h) be the first derivative of 282 - 1/14*h**4 - 12/7*h**3 + 52/7*h**2 - 80/7*h + 2/35*h**5. Suppose s(b) = 0. Calculate b.
-5, 2
Let g be ((-387)/45 - -8) + 99/135. Let a(y) be the first derivative of -9/5*y - 1/5*y**4 - 1/25*y**5 + 6/5*y**2 + g*y**3 - 8. Solve a(m) = 0 for m.
-3, 1
Let i(c) be the second derivative of c**7/945 - c**6/135 + 2*c**5/135 + 10*c**2 - 2*c + 4. Let r(y) be the first derivative of i(y). Factor r(k).
2*k**2*(k - 2)**2/9
Suppose 4 = 2*x - 5*c, 0 = 5*x - c - 9 - 1. Let 20 - 61*h**2 - 36*h + 75*h**4 - 8 - 12*h**x + 9*h**2 + 27*h**5 + 9*h**3 - 23*h**2 = 0. What is h?
-2, -1, 2/9, 1
Let t(l) = -24*l + 708. Let i be t(30). Let y be ((-92)/552)/(14/i). Factor 10/7*v - y*v**2 - 25/7.
-(v - 5)**2/7
Let k(n) be the second derivative of -n**5/40 - 53*n**4/24 + 71*n**3/3 - 87*n**2 + 13283*n. Let k(b) = 0. What is b?
-58, 2, 3
Suppose -11*p - z - 5 = -9*p, -4*p + 5*z = 3. Let h(l) = -5*l**2 + 41*l - 68. Let c(o) = 2*o - 1. Let f(w) = p*c(w) - h(w). Find a such that f(a) = 0.
2, 7
Let b = 17503/4865 + 11/4865. Factor b + 8/5*f**2 + 1/5*f**3 + 21/5*f.
(f + 2)*(f + 3)**2/5
Suppose -35*q + 63*q = 60 + 52. Solve -1/3*g**q + 0 - 4/3*g**3 - 4/3*g**2 + 0*g = 0 for g.
-2, 0
Factor 3128405 + 3425*j + 5221*j - 16556*j + 5*j**2.
5*(j - 791)**2
Let i(n) be the second derivative of -25*n**4/66 + 1930*n**3/33 - 37249*n**2/11 + 67*n - 15. Factor i(d).
-2*(5*d - 193)**2/11
Let v(l) be the first derivative of 2*l**6/15 + 17*l**5/10 - 3*l**4/2 - 20*l - 33. Let j(w) be the first derivative of v(w). Factor j(x).
2*x**2*(x + 9)*(2*x - 1)
Let w be (40/(-100))/((15/(-9))/(120/144)). Factor 0 + 2/5*u**2 + w*u + 1/5*u**3.
u*(u + 1)**2/5
Suppose -3*k + 6 = 4*r, 5 = r + k + 4. Suppose -3*d + 2*u = -16, 0*d - 4 = r