+ 169)*(5*q + 2)/13
Suppose 86*h + 45*h**4 + 79*h**2 - 29*h**5 + 54*h**5 - 28*h**5 + 92*h**2 - 183*h**3 - 216 + 100*h = 0. Calculate h.
-1, 1, 2, 4, 9
Let z(s) = 16*s**3 - 482*s**2 - 482*s + 924. Let h(b) = 18*b**3 - 483*b**2 - 481*b + 918. Let i(o) = -6*h(o) + 7*z(o). Solve i(w) = 0.
-2, 1, 120
Let f = 24 - 14. Let o be (16/6)/4*(-7 + f). Let -21*k**5 - 17*k**5 + o*k**4 - 4*k**3 + 40*k**5 = 0. Calculate k.
-2, 0, 1
Determine f, given that 9/8*f - 9/4 - 1/8*f**2 = 0.
3, 6
Factor 244/5*m**3 - 756/5 + 1242/5*m + 2/5*m**5 - 792/5*m**2 - 36/5*m**4.
2*(m - 7)*(m - 3)**3*(m - 2)/5
Factor -16*m**3 - 15*m**2 + 21*m - 18 + 31*m**3 + 69*m**2.
3*(m + 1)*(m + 3)*(5*m - 2)
Factor -38*h**3 - 6*h**2 + 112*h + 8*h**2 - 31*h**3 + 68*h**3 - 3*h**2 + 220.
-(h - 11)*(h + 2)*(h + 10)
Let z = 30982 - 216847/7. Determine b so that z*b**3 - 6/7*b**4 - 192/7*b - 288/7 + 54/7*b**2 = 0.
-2, -3/2, 4
Solve 44*n**2 + 17*n**4 + 181*n**3 + 2*n**5 + 26*n + 6 - 3*n**4 - 145*n**3 + 0 = 0.
-3, -1
Let h(z) = -z**3 - 4*z**2 + 9*z + 4. Let a = -16 - -10. Let v be h(a). Solve 5*j**3 + 20*j**4 - v*j**4 + 4*j**2 - 3*j**3 = 0 for j.
-1, 0, 2
Let o(w) be the third derivative of -w**7/245 + 101*w**6/56 - 1521*w**5/5 + 21546*w**4 - 42336*w**3 + w**2 + 5*w. Factor o(u).
-3*(u - 84)**3*(2*u - 1)/7
Let m(r) be the first derivative of r**6/900 + 7*r**5/150 + 13*r**4/60 - 35*r**3 + 24. Let p(l) be the third derivative of m(l). Suppose p(g) = 0. Calculate g.
-13, -1
Let n(h) be the first derivative of -h**6/288 - 41*h**5/480 + 3*h**4/8 + 158*h**3/3 - 135. Let j(y) be the third derivative of n(y). Solve j(c) = 0 for c.
-9, 4/5
Let a(k) be the third derivative of k**8/80640 - k**7/2240 - 11*k**6/1440 + 59*k**5/60 + 97*k**2. Let v(c) be the third derivative of a(c). Factor v(q).
(q - 11)*(q + 2)/4
Let p(w) be the second derivative of w**4/36 + 91*w**3/9 + 8281*w**2/6 + 43*w - 1. Find h such that p(h) = 0.
-91
Let s = 17398 + -156550/9. Factor -4/9*a**2 - 16/3 - s*a.
-4*(a + 2)*(a + 6)/9
Let -386/5*i**4 + 2/5*i**5 + 19196/5*i**3 - 55292/5*i**2 - 3610 + 10906*i = 0. Calculate i.
1, 95
Factor 524*f**3 + 182*f**3 + 14*f**3 + 244251*f**4 - 5*f**5 - 244091*f**4.
-5*f**3*(f - 36)*(f + 4)
Suppose 0 = -3*w + 5*r + 3, -3*w - 3*r + 17 = -10. Let 9*u**2 - w*u**2 - 7*u**2 + 17 + 19 + 32*u = 0. Calculate u.
-1, 9
Let u = -2/149 - -155/447. Let i = -2/321 + 109/321. Determine b, given that -i + 1/3*b**3 + 1/3*b**2 - u*b = 0.
-1, 1
Factor 114/11 - 4*n + 2/11*n**2.
2*(n - 19)*(n - 3)/11
Let d be 16*(-30)/(-800)*(0 - (-2)/2). Let u(l) be the first derivative of -d*l**3 + 1/5*l**2 + 7/20*l**4 + 4 + 0*l. Factor u(y).
y*(y - 1)*(7*y - 2)/5
Let h = -738998 + 739001. Factor 0 - 16/5*d**2 - 14/5*d - 2/5*d**h.
-2*d*(d + 1)*(d + 7)/5
Let s(q) = 8*q**2 + 2*q - 30. Let l(k) = 2*k + 10. Let w be l(10). Let r = w + -65. Let t(v) = -95*v**2 - 25*v + 360. Let i(j) = r*s(j) - 3*t(j). Factor i(d).
5*(d - 2)*(d + 3)
Suppose 13*h - 17 - 22 = 0. Let -38*p + 1 + 2*p**h + 35 - 8 + 8*p**2 = 0. What is p?
-7, 1, 2
Let l(r) be the second derivative of r**4/78 - 73*r**3/39 + 72*r**2/13 + 344*r - 3. Factor l(z).
2*(z - 72)*(z - 1)/13
Let k(u) be the second derivative of u**4/24 - 33*u**3 + 9801*u**2 - 83*u. Factor k(z).
(z - 198)**2/2
Solve -2/3*p**4 - 267180*p**2 + 32417352*p + 32685264 + 2194/3*p**3 = 0 for p.
-1, 366
Let c(h) be the third derivative of h**5/100 - 75*h**4/8 + 947*h**2. Factor c(j).
3*j*(j - 375)/5
Let h(u) be the third derivative of 1/5*u**5 + 0 + 0*u + 0*u**4 - 8/3*u**3 + 204*u**2 - 1/30*u**6. Determine f so that h(f) = 0.
-1, 2
Let w(d) = -d**3 - 32*d**2 - 32*d + 11. Let b be w(-31). Factor 2*k**2 - b*k - 4*k**2 - 3 + 35*k.
-(k + 3)*(2*k + 1)
Let v(c) be the second derivative of -1 - 92*c + 0*c**3 - 1/21*c**7 + 0*c**4 + 0*c**2 - 1/45*c**6 + 1/15*c**5. Let v(x) = 0. Calculate x.
-1, 0, 2/3
Let q(w) be the third derivative of w**5/150 - 239*w**4/60 + 238*w**3/15 - w**2 + 4*w + 2. Factor q(f).
2*(f - 238)*(f - 1)/5
Let q(t) be the second derivative of -t**6/90 - 47*t**5/12 - 1027*t**4/2 - 27378*t**3 - 79092*t**2 - 1066*t. Find n, given that q(n) = 0.
-78, -1
Suppose -973*s = -986*s. Let h(q) be the first derivative of s*q**3 - 1/6*q**4 + 0*q - 7 + 0*q**2. What is b in h(b) = 0?
0
Let w(p) = -5*p**2 - 41*p - 486. Let x(a) = 12*a**2 + 81*a + 978. Let q(u) = 9*w(u) + 4*x(u). Factor q(f).
3*(f - 22)*(f + 7)
Let d(j) be the third derivative of -4/3*j**5 + 0*j**3 + 0 + 1/6*j**4 - 41*j**2 + 0*j. Factor d(f).
-4*f*(20*f - 1)
Let t(q) be the first derivative of q**6/8 + 39*q**5/20 + 45*q**4/8 - q**3 - 15*q**2 - 302. Suppose t(g) = 0. What is g?
-10, -2, 0, 1
Let x = 2682118/19 - 141164. Factor 14/19*j - x*j**2 + 16/19.
-2*(j - 8)*(j + 1)/19
Let i(o) be the third derivative of -49*o**5/360 + 7*o**4/24 - o**3/4 - 283*o**2. Factor i(x).
-(7*x - 3)**2/6
Let j(w) be the second derivative of -w**7/63 - w**6/15 + 7*w**5/6 + 7*w**4/2 - 214*w**3/9 + 40*w**2 - 1384*w - 2. Let j(i) = 0. Calculate i.
-6, -4, 1, 5
Let f be 10/14*(-490)/(-210). Let v(n) be the second derivative of 10/3*n**3 - f*n**4 + 0 - 5/2*n**2 - 16*n. Solve v(r) = 0 for r.
1/2
Let f(t) be the first derivative of 2*t**3/69 + 72*t**2/23 + 142*t/23 - 103. Factor f(p).
2*(p + 1)*(p + 71)/23
Suppose -a + 5*z = -14, 2 = 2*a + 6*z - 3*z. Let d be (4 - (-2 - -6)) + a. Find s, given that 7*s + 4*s - d*s**3 - 7*s = 0.
-1, 0, 1
Let b be 500/(-75)*(2 + 16/(-5)). Let o(d) be the first derivative of -36/5*d**5 - 64*d**2 - b + 24*d**4 - 64*d + 32/3*d**3. Factor o(r).
-4*(r - 2)**2*(3*r + 2)**2
Let c = 549 - 544. Factor -9*j**4 + 43*j**c - 15*j**5 + 6*j**3 - 25*j**5.
3*j**3*(j - 2)*(j - 1)
Suppose -179*r + 191*r + 660 = 0. Let f be -7 + 2 + r/(-5). Factor 9/2*t + 3/2*t**2 - f.
3*(t - 1)*(t + 4)/2
Let g(o) be the third derivative of -o**8/11200 + o**7/4200 + o**6/600 - o**4/2 + o**3/6 - 2*o**2 + 10. Let m(p) be the second derivative of g(p). Factor m(n).
-3*n*(n - 2)*(n + 1)/5
Let o(m) be the second derivative of -m**6/480 + m**4/96 - 2*m**2 - 66*m. Let g(l) be the first derivative of o(l). Factor g(b).
-b*(b - 1)*(b + 1)/4
Let w(x) be the third derivative of x**5/120 - 7*x**4/96 + x**3/8 + 3*x**2 - 2535. Solve w(b) = 0.
1/2, 3
Let -101 - 240*a - 6*a**3 - 116 + a**3 + 18 - 65*a**2 + 19 = 0. What is a?
-6, -1
Let a(h) be the second derivative of h**4/12 + 34*h**3/3 + 578*h**2 - 1841*h. Factor a(g).
(g + 34)**2
Factor 6845/2 + 21*t**2 - 2109/4*t - 1/4*t**3.
-(t - 37)**2*(t - 10)/4
Let g(y) be the second derivative of y**7/1260 - 7*y**6/45 + 196*y**5/15 + y**4/12 + 47*y. Let k(q) be the third derivative of g(q). Factor k(t).
2*(t - 28)**2
Let m(v) be the first derivative of -v**3/15 + 7*v**2/5 - 1213. Factor m(h).
-h*(h - 14)/5
Factor 15/4 + 7/2*u**3 - 7/2*u + 1/4*u**4 - 4*u**2.
(u - 1)**2*(u + 1)*(u + 15)/4
Suppose -4*o + y - 2*y = -228, 0 = 3*o + 2*y - 176. Let w be 16/o + (-4)/14. Determine u, given that 1/3*u**3 + 0 + w*u + 2/3*u**2 - 1/3*u**4 = 0.
-1, 0, 2
Let f(u) be the second derivative of u**3/6 - 3*u**2 + 110*u. Let t be f(6). Find z, given that -2/9*z + t - 2/9*z**3 - 4/9*z**2 = 0.
-1, 0
Let g(t) = 8*t**3 + 24*t**2 + 48*t + 32. Let c(x) = 10*x**3 - 8*x**3 + 0*x**3. Let v(s) = -2*c(s) + g(s). Factor v(k).
4*(k + 2)**3
Let v(i) be the third derivative of -i**6/468 + i**5/260 + i**4/78 + 31*i**3/3 + 29*i**2. Let a(h) be the first derivative of v(h). Solve a(f) = 0 for f.
-2/5, 1
Let z(s) be the third derivative of s**7/1260 - 8*s**6/135 - 295*s**3/6 - 174*s**2. Let p(h) be the first derivative of z(h). Factor p(u).
2*u**2*(u - 32)/3
Let v be 0*(8 - 306/36). Let w(f) be the second derivative of v - 1/420*f**7 + 0*f**3 - 1/40*f**5 - 11*f - 1/75*f**6 + 0*f**2 - 1/60*f**4. Factor w(r).
-r**2*(r + 1)**2*(r + 2)/10
Let -240/13 + 54/13*p**3 - 8/13*p**4 + 8/13*p - 2/13*p**5 + 188/13*p**2 = 0. What is p?
-6, -2, 1, 5
Suppose -1037*u + 166 - 90 = -969*u - 128. Factor -1/2*n**5 - 2*n**4 + 0*n**3 + 17/2*n + 7*n**2 + u.
-(n - 2)*(n + 1)**3*(n + 3)/2
Let m(i) = -40*i**2 + 28*i + 86*i**2 - 90 - 48*i**2. Let q be m(9). Factor 1/4*r**4 - 1/2*r**3 - 1/4*r**2 + q + 1/2*r.
r*(r - 2)*(r - 1)*(r + 1)/4
Let h(p) be the third derivative of -4 + 29*p**2 - 1/1260*p**7 + 0*p**3 + 1/36*p**4 - 1/720*p**6 + 1/90*p**5 + 0*p. Determine z, given that h(z) = 0.
-2, -1, 0, 2
Let n(r) = -11*r + 3. Let d be n(3). Let 