 + 2)*(h + 5)/19
Let i(m) = 2*m - 18. Let x be i(11). Let d be ((-50)/(-18))/(-1) - -3. Solve 2/9*o - 4/9*o**3 + 4/9*o**2 - d - 2/9*o**x + 2/9*o**5 = 0 for o.
-1, 1
Factor -9*g**3 - 10*g**3 - 8*g + 24*g**3 + 9*g**2 - g**3 - 5*g**3.
-g*(g - 8)*(g - 1)
Let x be ((-8)/(-16))/(23 + -3). Let y(k) be the third derivative of -x*k**5 + 0 + 0*k**3 + 9*k**2 + 0*k + 1/8*k**4. Determine j so that y(j) = 0.
0, 2
Let r = 4249/4 - 12667/12. Factor 0 - 28/3*o**2 + 12*o**3 + 8/3*o + 4/3*o**5 - r*o**4.
4*o*(o - 2)*(o - 1)**3/3
Let t(j) be the third derivative of j**5/45 + 2*j**4/9 + 8*j**3/9 - 28*j**2 - 2. Determine v so that t(v) = 0.
-2
Factor -10*o**4 - 6*o**4 - 40 + 5*o**3 + 134*o**2 - 84*o**2 - 4*o**4 - 20*o + 5*o**5.
5*(o - 2)**3*(o + 1)**2
Let o(g) = g**3 + g**2 - 13*g + 3. Let r be o(0). Let s(f) be the first derivative of -r + 3/4*f**2 + 9/8*f + 1/8*f**3. Factor s(y).
3*(y + 1)*(y + 3)/8
Let b(h) be the first derivative of h**3/5 + 12*h**2/5 + 21*h/5 - 560. Factor b(g).
3*(g + 1)*(g + 7)/5
Let h(t) be the third derivative of 0 - 1/90*t**4 + 1/450*t**6 - 1/1575*t**7 + 2/225*t**5 + 0*t - 45*t**2 - 1/15*t**3. Suppose h(m) = 0. Calculate m.
-1, 1, 3
Suppose -3*k + 4 = -z, 2 = -4*z - k + 12. Find f, given that -8*f + 2*f**4 + 0*f - 2*f + 6*f**z - 8 + 10*f**3 = 0.
-4, -1, 1
Let a be 4/(-3)*(-63)/238. What is y in 2/17*y**3 + a*y - 2/17 - 6/17*y**2 = 0?
1
Let u(p) be the second derivative of -p**5/40 - p**4/6 - p**3/3 - p + 27. Factor u(k).
-k*(k + 2)**2/2
Let h(w) be the first derivative of 3*w**5/5 - 21*w**4/4 + 18*w**3 - 30*w**2 + 24*w + 90. Find k, given that h(k) = 0.
1, 2
Find t such that 28*t - 6*t**3 - 92*t + 23*t + 18*t**3 + 29*t + 32*t**2 = 0.
-3, 0, 1/3
Let p(b) = 2*b**2 - 55*b - 352. Let v(u) = u**2 - 2*u - 8. Let l(a) = -p(a) - v(a). Factor l(o).
-3*(o - 24)*(o + 5)
Let v(x) = x**2 - 11*x + 12. Let i be v(10). Factor -12 - 2 + i*s + 2*s**5 + 14 - 4*s**3.
2*s*(s - 1)**2*(s + 1)**2
Let b(f) be the third derivative of f**5/24 - 155*f**4/12 + 4805*f**3/3 - f**2 + 6*f. Factor b(q).
5*(q - 62)**2/2
Let z(c) be the first derivative of -c**6/2 - 36*c**5/5 - 42*c**4 - 128*c**3 - 216*c**2 - 192*c - 12. Determine o, given that z(o) = 0.
-4, -2
Let d = -6 + -10. Let t = 26 + d. Solve -2*i**2 + 10 - t - 10*i**4 + 12*i**3 = 0 for i.
0, 1/5, 1
Let q = -3070 + 27631/9. Find k such that q*k**2 + 1/9*k**3 - 1/9 - 1/9*k = 0.
-1, 1
Let b(x) be the third derivative of x**7/420 - 7*x**6/720 - x**5/15 + x**4/12 + 4*x**3/9 - 54*x**2. What is z in b(z) = 0?
-2, -2/3, 1, 4
Factor -123/2 - 61*r + 1/2*r**2.
(r - 123)*(r + 1)/2
Let i(v) = v**3 + 9*v**2 + 7*v + 5. Let s be i(-4). Let n = s - 54. Solve 4/7*w - 2/7*w**2 + 2/7 - 4/7*w**n = 0 for w.
-1, -1/2, 1
Let b(j) be the first derivative of -j**4/22 + 92*j**3/33 - 475. Factor b(u).
-2*u**2*(u - 46)/11
Let f(v) = -v**2 - 4*v + 5. Let j be f(-4). Suppose -20 = -j*a + l, 3*l + l = -2*a + 8. Let -3*i + 101 - 9*i**2 - 3*i**a - 9*i**3 - 101 = 0. Calculate i.
-1, 0
Let k(g) be the first derivative of -g**6/2 - 153*g**5/5 - 2025*g**4/4 - 625*g**3 + 922. What is f in k(f) = 0?
-25, -1, 0
Factor -1/6*f + 1/6*f**2 - 1/3.
(f - 2)*(f + 1)/6
Let y(p) be the third derivative of -p**7/840 - p**6/96 - p**5/40 + 91*p**2. Factor y(h).
-h**2*(h + 2)*(h + 3)/4
Let y(n) = -n**4 - n**3 + n. Let p(b) be the second derivative of -13*b**6/30 - b**5/2 + 7*b**4/4 - b**3/3 + 22*b. Let v(d) = -p(d) + 4*y(d). Factor v(g).
3*g*(g - 1)*(g + 2)*(3*g - 1)
Suppose 62*q - 63*q - 1 = 0. Let r be ((-152)/28 - q) + 5. Factor -4/7 - 2/7*y + 2/7*y**3 + r*y**2.
2*(y - 1)*(y + 1)*(y + 2)/7
Let x(h) = -9 - 2*h + 56 - 19 - h**2 - 20. Let k be x(2). What is p in 3/5*p**3 + k - 6/5*p**2 + 0*p + 3/5*p**4 = 0?
-2, 0, 1
Let w(d) be the first derivative of 2*d**3/15 + 18*d**2 + 810*d + 61. What is g in w(g) = 0?
-45
Let s = -10781/5 + 2157. What is g in s*g**3 - 8/5*g - 4/5*g**2 + 0 = 0?
-1, 0, 2
Determine z so that 30 - 37*z**2 - 30 + 28*z + 2*z**4 + 24*z**3 - 17*z**2 = 0.
-14, 0, 1
Let j(k) be the second derivative of -13*k**7/126 + k**6/6 - k**5/30 + 14*k - 2. Suppose j(y) = 0. What is y?
0, 2/13, 1
Find r, given that 14440/3 + 152/3*r + 2/15*r**2 = 0.
-190
Let r(w) be the third derivative of -w**7/1260 + w**6/72 + w**5/10 + w**4/8 + 8*w**2. Let d(x) be the second derivative of r(x). Let d(h) = 0. Calculate h.
-1, 6
Let m(a) be the third derivative of -a**8/448 + a**7/140 + 3*a**6/80 - a**5/20 - 13*a**4/32 - 3*a**3/4 + 411*a**2. Solve m(k) = 0 for k.
-1, 2, 3
Let y = -90719/90 - -1008. Let k(g) be the second derivative of -y*g**6 - 1/6*g**2 + 1/15*g**5 + 0 + 2/9*g**3 - g - 1/6*g**4. Factor k(f).
-(f - 1)**4/3
Let h(b) be the second derivative of -b**4/60 + b**3/15 - 52*b + 1. Factor h(r).
-r*(r - 2)/5
Let v be (-4 + (-4 - -7))*-1 - 0. Let w be v + 6 + -6 + 2. Suppose -2/3*b**4 + 0 + 8/3*b**w + 0*b - 8/3*b**2 = 0. Calculate b.
0, 2
Suppose -w = -13 + 3. Suppose 4*d = 2*d + w. Let -z**3 + 0*z**3 + d*z**4 + 3*z**3 = 0. What is z?
-2/5, 0
Let z be (-6)/39 + (-616)/52. Let f be (4 - (-56)/z)*-3. Factor -1/3*s**f + 2/3*s - 1/3.
-(s - 1)**2/3
Let m(q) be the first derivative of -3/2*q + 11 + 5/4*q**2 - 1/8*q**4 - 1/6*q**3. Find z such that m(z) = 0.
-3, 1
Let 0*m**2 + 0*m - 32*m**3 - 2/5*m**4 + 0 = 0. What is m?
-80, 0
Determine d so that -12*d - 18*d**2 - 1728 + 167*d**3 - 18*d**2 - 420*d - 168*d**3 = 0.
-12
Let o(n) be the first derivative of -n**4/3 + 8*n**3/3 - 8*n**2 - 9*n - 6. Let m(l) be the first derivative of o(l). What is r in m(r) = 0?
2
Let s(a) be the first derivative of -18*a**5/25 - 17*a**4/5 - 56*a**3/15 + 8*a**2/5 - 216. Factor s(w).
-2*w*(w + 2)**2*(9*w - 2)/5
Let y(n) = n**3 + 12*n**2 - 100*n + 256. Let l(q) = -q**2 - 3*q. Let d(t) = 4*l(t) + y(t). Factor d(r).
(r - 4)**2*(r + 16)
Suppose -4*y = 4*f + 52, -y - 3*f - 9 = 2*f. Let b = y + 14. Factor b*r**2 + 2/7*r**3 + 4/7 - 6/7*r.
2*(r - 1)**2*(r + 2)/7
Let n(w) be the first derivative of -w**7/280 + w**6/24 - w**5/5 + w**4/2 - 26*w**3/3 - 2. Let m(l) be the third derivative of n(l). Find f such that m(f) = 0.
1, 2
Let i(c) = 5*c**3 - 3*c**2 + 7*c + 3. Let p = 57 - 47. Let k(x) = -16*x**3 + 8*x**2 - 22*x - 10. Let u(v) = p*i(v) + 3*k(v). Find g, given that u(g) = 0.
0, 1, 2
Let f(r) be the second derivative of -14/15*r**3 + 49/5*r**2 - 16*r + 1/30*r**4 + 0. Solve f(x) = 0 for x.
7
Let c = -395 - -15406/39. Let i(j) be the second derivative of 0 + 1/78*j**4 + j - 1/130*j**5 - 1/195*j**6 + 0*j**2 + c*j**3. Factor i(z).
-2*z*(z - 1)*(z + 1)**2/13
Let m(s) be the third derivative of s**6/600 - 149*s**5/300 + 703*s**4/15 - 2738*s**3/15 - 3*s**2 + 61. Factor m(z).
(z - 74)**2*(z - 1)/5
Suppose -5/4*f - 1/4*f**2 + 3/2 = 0. What is f?
-6, 1
Let d be 0/((-85)/(-45) + 6/54). Let v(r) be the first derivative of -3 - 1/6*r**4 + 1/9*r**6 - 2/9*r**3 + 2/15*r**5 + 0*r + d*r**2. Factor v(z).
2*z**2*(z - 1)*(z + 1)**2/3
Suppose -10*w - 2 = -22. Factor -13*c**5 - 2*c**4 + 2*c**2 + 7*c**5 + w*c**3 - 4*c**3 + 8*c**5.
2*c**2*(c - 1)**2*(c + 1)
Let y be ((-12)/15)/((-7)/((-35)/(-2))). Let g be (-3 - (-2 - (3 + -2)))/y. Solve 0*n - 4/5*n**3 + 2*n**5 + 6/5*n**4 + g*n**2 + 0 = 0.
-1, 0, 2/5
Let s be 119/(-85) - (-444)/315. Let o(k) be the second derivative of 0*k**2 + k + 0 + 0*k**5 + 2/75*k**6 - 1/15*k**3 + s*k**7 - 1/15*k**4. Factor o(v).
2*v*(v - 1)*(v + 1)**3/5
Let a be -1*(-7)/(14/6). Suppose -s = -m, -2*s - a*m + 12 = m. Suppose -3*l**3 + 0*l**2 - 4*l**2 + 3*l + 3 + 3*l**s - 2*l**2 = 0. What is l?
-1, 1
Let f(t) be the third derivative of 8*t**2 + 1/30*t**6 + 0*t**3 + 0*t**4 - 1/3*t**5 - 2 + 0*t. Let f(j) = 0. What is j?
0, 5
Factor 2*j**3 + 0*j**3 + 2*j**4 + 3*j**3 - 2*j**3 + 2*j**3 - 4*j**2 - 12*j.
j*(j + 2)**2*(2*j - 3)
Let c(x) = 4*x**2 + 2. Let h(t) be the third derivative of -23*t**5/60 + t**4/24 - 2*t**3 - t**2. Let r(p) = -34*c(p) - 6*h(p). Let r(o) = 0. Calculate o.
1, 2
Determine l so that 40*l**2 + 665*l**3 - 348*l**3 - 51 + 5*l**4 - 347*l**3 + 6 + 30*l = 0.
-1, 1, 3
Let o = -402 + 404. Let v(r) be the first derivative of -2/7*r + 0*r**4 + 4/21*r**3 - 3 - 2/35*r**5 + 0*r**o. Find h such that v(h) = 0.
-1, 1
Let y = 165 + -163. Let w(m) be the second derivative of 0*m**y - 1/20*m**6 + 1/4*m**3 + 0 - 3/40*m**5 + 2*m + 1/8*m**4. Factor w(f).
-3*f*(f - 1)*(f + 1)**2/2
Let i be (5 - 14 - -9)/(-1 - -6). Let -1/5*n**2 + 