4/5*s**3 - 8/5 = 0.
2/7, 1, 2
Let p(g) be the first derivative of 2*g**5/55 + 3*g**4/22 - 2*g**3/3 - 3*g**2/11 + 20*g/11 - 510. Solve p(u) = 0 for u.
-5, -1, 1, 2
Let o(b) be the second derivative of b**9/3780 - b**7/210 + b**6/90 - 2*b**4 + 9*b. Let w(n) be the third derivative of o(n). Factor w(p).
4*p*(p - 1)**2*(p + 2)
What is g in 4/5 - 4*g**5 - 49/5*g**2 + 62/5*g**3 + 0*g + 3/5*g**4 = 0?
-2, -1/4, 2/5, 1
Find r, given that 3/2*r**3 - 48 + 12*r**2 - 6*r = 0.
-8, -2, 2
Let x(c) be the first derivative of -c**3/3 + 9*c**2 - 45*c - 599. Factor x(p).
-(p - 15)*(p - 3)
Let i(y) = y**2 + 4*y + 6. Let l be i(5). Let h = -49 + l. Suppose 4/5 - 2/5*r**h + 2/5*r = 0. Calculate r.
-1, 2
Let a(o) be the second derivative of 1/4*o**5 - o + 0 + 1/6*o**6 + 0*o**3 + 0*o**2 - 5/21*o**7 + 0*o**4. Factor a(m).
-5*m**3*(m - 1)*(2*m + 1)
Let f = -7503 + 7503. Let 2/5*q**2 - 2/5 + f*q = 0. What is q?
-1, 1
Let d = -7/13 - -71/156. Let j = 2/3 - d. Factor 7/4*l**2 + 5/4*l + j*l**3 + 1/4.
(l + 1)**2*(3*l + 1)/4
Let b = 669 - 669. Factor b + 0*p + 1/6*p**2.
p**2/6
Suppose -4*y + 96 = -8. Let l be 4 + (-48)/y + -2. Suppose -l*t - 2/13 + 2/13*t**3 + 2/13*t**2 = 0. Calculate t.
-1, 1
Suppose -72/7 - 24/7*n - 2/7*n**2 = 0. What is n?
-6
Let g(w) = -2*w**3 + 31*w**2 - 45*w + 44. Let d be g(14). Factor -3/4*q**d + 9/4 + 3/2*q.
-3*(q - 3)*(q + 1)/4
Let k(c) be the third derivative of c**5/105 - c**4/14 - 12*c**3/7 - 75*c**2. Factor k(y).
4*(y - 6)*(y + 3)/7
Let o = -69 + 139/2. Let t(p) be the first derivative of o*p + 15/8*p**2 + 13/12*p**3 - 10. Factor t(l).
(l + 1)*(13*l + 2)/4
Let y(g) be the first derivative of g**4/12 + 2*g**3/3 - 3*g**2/2 - 14*g/3 + 87. Factor y(x).
(x - 2)*(x + 1)*(x + 7)/3
Suppose -2*c = 0, 16*d - 5*c - 1 = 15*d. Let m be 82/105 - (-8)/28*d. Factor 2/15*h**2 + 32/15 - m*h.
2*(h - 4)**2/15
Let f(t) be the second derivative of 8/5*t**2 + 16*t + 8/15*t**3 + 1/15*t**4 + 0. What is s in f(s) = 0?
-2
Let z(l) be the third derivative of -1/42*l**4 + 0*l + 0 - 18*l**2 - 1/210*l**6 - 2/105*l**5 + 0*l**3. Suppose z(g) = 0. Calculate g.
-1, 0
Suppose 893 - 473 = 210*i. Factor 2/21*t**3 + 4/21 - 2/21*t**4 + 2/7*t**i - 10/21*t.
-2*(t - 1)**3*(t + 2)/21
Let f be 10/(-15) + 7/((-147)/(-50)). Let x = f + 13/21. What is o in -3*o**3 + 0 + x*o**4 + 2/3*o**2 + 0*o = 0?
0, 2/7, 1
Let j(y) = 27*y - 27. Let g be j(1). Let l(k) be the third derivative of -4*k**2 - 1/90*k**5 + g*k + 0*k**3 + 0 + 1/12*k**4. Factor l(i).
-2*i*(i - 3)/3
Let d(b) = -4*b**4 + 36*b**3 + 201*b**2 + 239*b + 104. Let h(t) = -t**4 + 9*t**3 + 50*t**2 + 60*t + 26. Let j(g) = -6*d(g) + 26*h(g). Factor j(y).
-2*(y - 13)*(y + 1)**2*(y + 2)
Let o be (8 - 25/3) + 1348/(-6). Let k = o - -227. Find m, given that -8/11*m + 2/11*m**k + 6/11 = 0.
1, 3
Factor -3/2*f**3 - 6*f**2 + 96 + 24*f.
-3*(f - 4)*(f + 4)**2/2
Factor 0 + 0*l**3 + 32/9*l**2 - 2/9*l**5 + 32/9*l - 8/9*l**4.
-2*l*(l - 2)*(l + 2)**3/9
Let g(r) be the first derivative of r - 3/4*r**2 - 10 + 1/6*r**3. Solve g(p) = 0.
1, 2
Factor 40 - 7*a**3 + 3*a**3 + 105*a**2 - 73*a**2 + 76*a.
-4*(a - 10)*(a + 1)**2
Suppose -n + 1 = 2*d - 6, 0 = -4*d - 5*n + 23. Determine k so that -d*k - 5*k - 9 + 2*k + 3*k**2 - k = 0.
-1, 3
Let a = 114 - 340/3. Determine p, given that 0*p**2 - 1/3*p**3 + p - a = 0.
-2, 1
Suppose 0*q + 7 = 4*t + 3*q, 4*q - 24 = 2*t. Let w(d) = d**2 - 17*d - 53. Let x(j) = -j**2 - j + 1. Let n(g) = t*w(g) - 6*x(g). Factor n(y).
4*(y + 5)**2
Factor 3/7*k**2 + 27/7*k + 54/7.
3*(k + 3)*(k + 6)/7
Suppose 2 + 0 = -i. Let l be i/(-4)*(-9 - -13). Factor 1/8*h**l - 3/4*h + 9/8.
(h - 3)**2/8
Let s = 6/703 + 28042/9139. What is o in -s*o**2 + 0 + 46/13*o**3 - 14/13*o**4 + 8/13*o = 0?
0, 2/7, 1, 2
Let v(h) = 118*h - 2121. Let d be v(18). Factor -6/5*c + 0 + 9/5*c**2 - 3/5*c**d.
-3*c*(c - 2)*(c - 1)/5
Solve 24/7*v - 176/7*v**3 + 44/7*v**2 + 0 - 16/7*v**5 + 124/7*v**4 = 0 for v.
-1/4, 0, 1, 6
Suppose 22*b - 20*b = -90. Let l = b + 91/2. Determine c so that -1/4*c**4 - 1/2*c + 1/4 + l*c**3 + 0*c**2 = 0.
-1, 1
Let x(p) be the first derivative of p**7/735 - p**6/420 - p**5/105 - 3*p**2 + 10. Let k(d) be the second derivative of x(d). Suppose k(y) = 0. What is y?
-1, 0, 2
Let w(x) = -2*x**2 - 11*x + 8. Let g be w(-6). Determine r so that -40*r**2 + 4*r + 18*r**2 + 26*r**g = 0.
-1, 0
Let j be -6*(12/(-9) - -2). Let p(b) = -b**3 - 3*b**2 + 4*b + 2. Let m be p(j). Find v such that 4*v**2 + 9*v**3 - 3*v**m - 10*v**3 = 0.
0, 1
Let p(f) be the first derivative of -f**3/3 - 9*f**2 - 81*f - 249. Suppose p(n) = 0. What is n?
-9
Let l(f) = 4*f**3 + 20*f**2 - 16*f - 4. Let q(c) = -2*c**2 + 1. Let o(a) = l(a) + 4*q(a). Suppose o(g) = 0. What is g?
-4, 0, 1
Let t = 27/1184 + 9229/10656. Suppose 0*c + t*c**2 + 0 - 10/9*c**3 + 2/9*c**4 = 0. What is c?
0, 1, 4
Let v(n) be the third derivative of 0*n**4 + 0*n**5 + 1/1344*n**8 + 0*n**3 - 15*n**2 + 0*n - 1/168*n**7 + 0 + 1/80*n**6. Factor v(q).
q**3*(q - 3)*(q - 2)/4
Let a(h) = h**3 - 17*h**2 - 5*h - 5. Let i = -30 - -25. Let c(u) = -60*u**2 - 25*u - 18 + 4*u**3 + 7*u - u**3. Let f(j) = i*c(j) + 18*a(j). Factor f(l).
3*l**2*(l - 2)
Let f = -17/3 - -6. Let o = 5596 + -5596. Solve o - 1/3*h**4 + 0*h + 0*h**2 + f*h**3 = 0 for h.
0, 1
Let d(x) be the first derivative of -x**4/7 + 68*x**3/21 - 176*x**2/7 + 576*x/7 - 69. Factor d(u).
-4*(u - 9)*(u - 4)**2/7
Let f(j) = -j**3 - 266*j**2 - 3482*j - 1354. Let w(z) = -2*z**3 + 2*z**2 - z + 1. Let o(v) = -3*f(v) - 6*w(v). Suppose o(n) = 0. What is n?
-26, -2/5
Suppose 15*w + 40 = 8*w + 17*w. Factor 0 + 0*i**2 - 1/6*i**5 + 0*i**3 + 1/6*i**w + 0*i.
-i**4*(i - 1)/6
Let i(s) = 12*s**4 - 260*s**3 + 1716*s**2 - 1452*s + 16. Let h(l) = 4*l**4 - 86*l**3 + 572*l**2 - 484*l + 6. Let m(y) = 8*h(y) - 3*i(y). Factor m(w).
-4*w*(w - 11)**2*(w - 1)
Let b = -1585 - -11099/7. Factor 16/7 + b*n**4 - 4*n**3 - 52/7*n + 60/7*n**2.
4*(n - 4)*(n - 1)**3/7
Let v be 1/((-1)/(-2) - 0). Suppose 0 = 3*d - b - 6, d + 3*b = -3*d + 21. Let 3*c**v - 3*c**d + 9/2*c - 3/2*c**5 + 3/2 - 9/2*c**4 = 0. Calculate c.
-1, 1
Let s(v) be the second derivative of v**7/14 - 4*v**6/15 - 11*v**5/20 + 7*v**4/3 - 2*v**3 + 75*v + 2. Solve s(w) = 0 for w.
-2, 0, 2/3, 1, 3
Determine h, given that 24*h**2 + 49*h**4 - 15*h**4 - 17*h**4 - 14*h**4 - 28*h**3 - 15*h**4 = 0.
-3, 0, 2/3
Let q(g) be the first derivative of 2*g**5/45 - 7*g**4/3 + 416*g**3/9 - 3718*g**2/9 + 4394*g/3 + 186. Factor q(y).
2*(y - 13)**3*(y - 3)/9
Let q = -115 + 120. Let j(w) be the second derivative of -4*w - 1/55*w**q - 7/33*w**3 + 7/66*w**4 + 2/11*w**2 + 0. What is v in j(v) = 0?
1/2, 1, 2
Let l = -12912/11 + 1174. What is z in 0 - l*z - 2/11*z**2 = 0?
-1, 0
Let i(z) = -4*z**2 + 24*z - 15. Let r(u) = 4*u**2 - 24*u + 14. Let k(h) = 6*i(h) + 5*r(h). Find x such that k(x) = 0.
1, 5
Let z(m) = 3*m + 6. Let c be z(4). Let 191*a**2 + 3*a**5 - 191*a**2 + c*a**4 + 27*a**3 = 0. What is a?
-3, 0
Suppose -2*i + 36 = -2*l, -l = 3*i + 2*l - 36. Let o be (-12)/(-16) + i/12. Factor 0 - 1/3*n**3 + 1/3*n + 0*n**o.
-n*(n - 1)*(n + 1)/3
Let i(d) = -d**3 - 5*d**2 + 3. Let r be i(-5). Let g(x) be the second derivative of 1/4*x**2 - 1/8*x**r - 3*x + 1/48*x**4 + 0. Let g(j) = 0. What is j?
1, 2
Let l(m) be the first derivative of 1/6*m**3 + 14 + m - 3/4*m**2. Suppose l(i) = 0. Calculate i.
1, 2
Let c(g) be the first derivative of 0*g - 1/12*g**4 + 5 + 1/2*g**2 - 1/6*g**3 - 1/60*g**5. Let p(b) be the second derivative of c(b). Find l such that p(l) = 0.
-1
Let x(u) be the third derivative of 9*u**8/224 + 3*u**7/14 + u**6/20 - 7*u**5/20 + 3*u**4/16 - 61*u**2 + 2. Solve x(r) = 0.
-3, -1, 0, 1/3
Let g be (5 - 4)/((-1)/(-45)). Let z be g/10*(-2)/(-3). Find o, given that -o**3 + 12 + 7*o**3 + 6*o**3 - z*o**3 + 33*o**2 + 36*o = 0.
-2, -1, -2/3
Let i(h) be the second derivative of 2/21*h**3 - 2 - 1/84*h**4 - 3/14*h**2 + 2*h. Determine u so that i(u) = 0.
1, 3
Suppose 0 = -a + 5, -3*a + 47 = -2*x. Let r = 20 + x. Factor 0*z + 0*z**3 - 3/4*z**2 + 0 + 3/4*z**r.
3*z**2*(z - 1)*(z + 1)/4
Let d(w) be the third derivative of -w**8/84 + 122*w**7/105 - 167*w**6/6 - 2881*w**5/15 - 1504*w**4/3 - 2048*w**3/3 + 2*w**2 - 67. What is c in d(c) = 0?
-1, 32
Let v(c) be the first derivative of -c**5/10 + c**4/6 + 2*c**3/3 - 15*c - 23. Let h(d) be the first derivative of v(d). Factor h(p).
-2*p*(p - 2)*(p + 1)
Let