0*k**2 - 1/20*k**6 + 14*k + 0. Factor o(h).
-3*h**2*(h - 2)*(h + 2)/2
Determine o, given that 1/2*o**4 + 813/2*o**2 - 811/2*o - 273/2*o**3 + 135 = 0.
1, 270
Let 1588/9*f**2 + 400/3 - 2248/9*f - 2/9*f**5 - 170/3*f**3 + 68/9*f**4 = 0. Calculate f.
2, 3, 25
Let x(q) be the third derivative of -q**10/37800 + q**9/22680 + q**8/15120 - q**5/15 + 69*q**2. Let a(b) be the third derivative of x(b). Factor a(z).
-4*z**2*(z - 1)*(3*z + 1)/3
Let s(m) = m**2 - 2*m - 3. Let v be s(5). Let x be 7/3 + 8/v. What is j in 16/7*j + 0 + 44/7*j**x + 10/7*j**4 + 8*j**2 = 0?
-2, -2/5, 0
Let c be (-1 - -7) + -7 - -82. Suppose 0 = 76*o - c*o + 10. Factor 1/9*i**o - 2/9*i + 0.
i*(i - 2)/9
Let y(o) be the first derivative of 2/3*o**3 - 1/2*o**4 - 2*o + o**2 + 6. Solve y(f) = 0.
-1, 1
Let y(m) be the third derivative of m**6/120 - m**4/24 - 207*m**2. Let p(v) = -4*v - v + 0*v**2 - 2*v**2 + 3*v**3. Let q(f) = -2*p(f) + 10*y(f). Factor q(a).
4*a**2*(a + 1)
Let g be 27*(-13)/(-312)*2*24/18. Find u such that 0*u - 1/7*u**g + 0 - 1/7*u**2 = 0.
-1, 0
Let c(n) = -22*n**2 - 162*n - 140. Let b be c(-6). Determine a, given that 0 + 5/3*a + b*a**2 = 0.
-1/24, 0
Let i be ((-4)/(-180))/((-1)/6*(-16 - -15)). Determine o so that 0 + 16/15*o**3 - 6/5*o**4 + i*o**5 + 0*o**2 + 0*o = 0.
0, 1, 8
Suppose 21*d + 225 = -573. Let h be ((-9)/(-4))/1*d/(-57). Solve 0 - 3*x + 3/2*x**3 - h*x**2 = 0.
-1, 0, 2
Let h(z) be the second derivative of -2*z**5/5 + 61*z**4/6 - 71*z**3/3 + 14*z**2 + 2583*z. Let h(s) = 0. Calculate s.
1/4, 1, 14
Factor 56*l**3 + 364*l - 392*l**2 + 446*l**2 - 54*l**3.
2*l*(l + 13)*(l + 14)
Let r(n) = -179*n - 3935. Let y be r(-22). Let f(u) be the second derivative of 0 + 1/2*u**y + u**2 + 27*u - 1/6*u**4. Solve f(b) = 0 for b.
-1/2, 2
Determine z so that -102*z**2 - 271687 + 271687 - 45*z + 111*z**3 + 36*z**4 = 0.
-15/4, -1/3, 0, 1
Let l(p) be the second derivative of 0 + 35*p + 0*p**2 + 7/9*p**3 - 1/18*p**4. Find v such that l(v) = 0.
0, 7
Let f(k) = 1556*k - 302650. Let q(y) = y**2 + 1556*y - 302654. Let a(w) = 3*f(w) - 2*q(w). Factor a(u).
-2*(u - 389)**2
Let z(y) be the third derivative of -1/1470*y**7 - 22/105*y**5 + 2/105*y**6 + 0*y - 24*y**2 + 1 - 24/7*y**3 + 8/7*y**4. Determine o, given that z(o) = 0.
2, 6
Let h(i) be the third derivative of -i**6/40 + 309*i**5/10 - 1233*i**4/8 + 308*i**3 - 1606*i**2 + i. Factor h(p).
-3*(p - 616)*(p - 1)**2
Let c(k) be the first derivative of -19*k - 147/4*k**2 - 1/8*k**4 + 23 + 7/2*k**3. Let z(n) be the first derivative of c(n). Suppose z(t) = 0. Calculate t.
7
Let l = -25443/140 + 3649/20. Determine k, given that -9073/7*k - 3698/7 - l*k**3 + 428/7*k**2 = 0.
-2/5, 43
Let w be 1 + (26/(-78))/((-2)/36). Let h(p) be the third derivative of 0*p + 0*p**3 + 1/350*p**w + 0*p**6 + 10*p**2 + 1/20*p**4 + 0 - 3/100*p**5. Factor h(a).
3*a*(a - 1)**2*(a + 2)/5
Let s be (-36)/63*-7 + -4. Let h(u) be the first derivative of 1/60*u**6 + 1/20*u**2 + 0*u**5 + s*u + 1 - 1/20*u**4 + 0*u**3. Suppose h(v) = 0. Calculate v.
-1, 0, 1
Suppose -5*l = -3*k + 51, -5*k = 257*l - 260*l - 37. Find w, given that -12/7 - 4/7*w + 1/7*w**k = 0.
-2, 6
Suppose -2*m + 1430 = 4*x - 3*m, -2*m = 3*x - 1067. Let d = x - 2483/7. Factor 12/7*w + 4/7*w**2 - d.
4*(w - 1)*(w + 4)/7
Let h(b) be the first derivative of -41 - 11/3*b**2 + 12*b + 2/9*b**3. Factor h(p).
2*(p - 9)*(p - 2)/3
Let o be 19/(4389/(-110)) - (-16)/28. Let h(f) be the second derivative of o*f**7 - 2/15*f**6 + 2/3*f**3 - 2*f**2 - 2/5*f**5 - 2*f + 0 + 2/3*f**4. Factor h(w).
4*(w - 1)**3*(w + 1)**2
Let o = -248/504057 + 2300795426/10812526707. Let c = o + -2/1129. Let c - 10/19*b**2 + 6/19*b = 0. What is b?
-2/5, 1
Let o = -150 + 157. Determine f, given that 3*f + 3*f**3 + 8*f**2 - 8*f - 8*f**4 - o*f - 4*f**5 + 13*f**3 = 0.
-3, -1, 0, 1
Let a(j) be the second derivative of -j**4/6 + 8*j**3 - 119*j**2 + 359*j + 1. Find p, given that a(p) = 0.
7, 17
Let t be 37/(-259) - (-44)/14. Find b, given that -6*b**4 - 13*b**4 - 36*b + 6*b**2 + 4*b**5 + 13*b**2 + 32*b**t + 5*b**2 - 5*b**4 = 0.
-1, 0, 1, 3
Factor 36 + 1/4*h**3 - 4*h - 9/4*h**2.
(h - 9)*(h - 4)*(h + 4)/4
Let r(j) be the second derivative of 11/4*j**4 - 5*j**3 + 3*j + 0*j**2 - 3/20*j**5 - 21. Factor r(v).
-3*v*(v - 10)*(v - 1)
Suppose -3*w + 8*h = 5*h + 3, 21 = 3*w + 5*h. Suppose -9*d - 7*d**2 + w - d**3 + 9 + 5*d + 1 = 0. Calculate d.
-6, -2, 1
Let p = 1653119026/1366700115 + -2/6539235. Let v = p - 2/209. Determine i so that -6/5*i**2 - 2/5*i**4 + v*i**3 + 0 + 2/5*i = 0.
0, 1
Let h = 141/3401 - -138736/17005. Find d such that -124/5*d + 17*d**2 - 2/5*d**3 + h = 0.
1/2, 1, 41
Suppose 0 = a - 5*w - 25, 6*w - w = -a + 5. Let h be 10/(-15) + 70/a. Suppose -12*p**2 + 13*p**2 - 3*p**h + 17*p**2 + 3*p**2 + 18*p = 0. What is p?
-2, -1, 0, 3
Let w = 572385/4 - 143096. Find t such that 15/2*t - w*t**2 + 31/4 = 0.
-1, 31
Let m(c) be the third derivative of c**6/288 - c**5/96 + 50*c**3/3 + 50*c**2. Let g(q) be the first derivative of m(q). Determine y, given that g(y) = 0.
0, 1
Let z(v) be the third derivative of -v**5/15 - 11*v**4/6 - 20*v**3/3 - 1012*v**2. Suppose z(c) = 0. What is c?
-10, -1
Let b(n) be the third derivative of -11/24*n**6 - 125/24*n**4 + 0*n**3 + 13 - 1/42*n**7 - 35/12*n**5 + 0*n - 2*n**2. What is g in b(g) = 0?
-5, -1, 0
Let v(m) = m**3 + 20*m**2 + 19*m. Let c be v(-19). Suppose -b + 2 - 5 = c, 5*i = 4*b + 62. Suppose 30 + 91*z**2 - 55*z - 51*z**2 - i*z - 5*z**3 = 0. What is z?
1, 6
Let o(h) be the third derivative of 0 + 1/4*h**6 + 1/105*h**7 + 3*h + 9*h**2 + 3*h**4 + 0*h**3 - 26/15*h**5. What is v in o(v) = 0?
-18, 0, 1, 2
Let y(h) be the first derivative of -1/15*h**6 + 0*h**3 - 9/5*h**4 + 38/25*h**5 + 0*h**2 + 0*h - 107. Factor y(n).
-2*n**3*(n - 18)*(n - 1)/5
Let g(h) be the first derivative of 27*h**5/25 + 633*h**4/20 + 866*h**3/15 + 86*h**2/5 - 88*h/5 + 3810. Suppose g(u) = 0. What is u?
-22, -1, -2/3, 2/9
Let i = 37 + -37. Let v be 42 + i + 2/(-1). Let -2*q + 4*q**3 + 2*q**2 + 38*q**5 - v*q**5 - 2*q**2 = 0. What is q?
-1, 0, 1
Let y(x) be the first derivative of -26/3*x**3 + 10*x + 11*x**2 - 3/2*x**4 - 172. Find d, given that y(d) = 0.
-5, -1/3, 1
Suppose 147*f - 141*f - 18 = 0. Determine s, given that -3*s**5 - 159*s**f - 53*s - 43 - 318*s**2 - 53 - 235*s - 36*s**4 = 0.
-4, -2, -1
Suppose 1984*c - 2459 - 398 = 1111. Let -1/6*i**5 + 1/6*i**3 - 29/6*i**2 + 5/6*i**4 + 6 + c*i = 0. Calculate i.
-2, -1, 2, 3
Let m(z) be the third derivative of z**5/180 + z**4/6 + 10*z**3/9 - 20*z**2 + 41*z. Let m(o) = 0. Calculate o.
-10, -2
Let u be -148*(-2422)/57609 + 4/(-18). Let k be 22/8 - (-3)/(-12). Factor -3/2*a**2 + u*a - 2 - k*a**3.
-(a - 1)*(a + 2)*(5*a - 2)/2
Let c(s) = -4*s**2 + 3*s**2 + 20 + 26. Let i be c(0). Factor -58 + i + 13*h**2 - 4*h**2 - 3*h**3.
-3*(h - 2)**2*(h + 1)
Let n(s) be the third derivative of 11*s**2 - 1/350*s**7 + 0*s**3 + 0*s - 9/100*s**5 + 0 - 1/10*s**4 - 3/100*s**6. Factor n(k).
-3*k*(k + 1)**2*(k + 4)/5
Let t(a) be the second derivative of -a**6/150 + 9*a**5/25 + 121*a**4/60 - 26*a**3/5 - 73*a. Let t(n) = 0. Calculate n.
-4, 0, 1, 39
Let k(w) be the third derivative of -36*w**2 - 1/80*w**5 - 3/4*w**3 - 7/32*w**4 - 2 + 0*w. Solve k(h) = 0 for h.
-6, -1
Let c = 37195 + -148595/4. Factor -405 - c*v**2 + 450*v + 5/4*v**3.
5*(v - 18)**2*(v - 1)/4
Let o = 104054/7191 - 198/799. Factor -2/9*w**3 - 8/3*w**2 - 32/3*w - o.
-2*(w + 4)**3/9
Suppose w - 10 = 6*w, -z + 2*w = -12. Suppose -z*c = -11*c + 12. Factor 12 - c*b - 7*b + 2*b**2 - 3*b + 4*b.
2*(b - 3)*(b - 2)
What is j in -961 + 7*j**3 - 2635/4*j - 597/8*j**2 - 1/8*j**4 = 0?
-4, -2, 31
Let z(b) = -18*b**4 - 78*b**3 + 35*b**2 + 141*b - 61. Let c(m) = m**4 + 2*m**3 - 2*m**2 - m - 1. Let p(s) = -76*c(s) - 4*z(s). What is d in p(d) = 0?
-2, 1, 40
Find k such that -2*k**4 - 272*k**3 + 4*k**2 + 544 - 56252*k + 57072*k + 2*k**2 = 0.
-136, -1, 2
Let i(q) be the third derivative of -q**8/672 - 3*q**7/140 - 29*q**6/240 - 43*q**5/120 - 5*q**4/8 - 2*q**3/3 + 1434*q**2. Factor i(n).
-(n + 1)**3*(n + 2)*(n + 4)/2
Let q(z) = 5*z**2 - 100*z. Let l(u) = u**2 - 25*u. Let d = 153 - 147. Let o(w) = d*q(w) - 25*l(w). Suppose o(y) = 0. What is y?
-5, 0
Suppose 1080*a - 4097 = -4097. Factor 1/6*z**4 + 5/3*z + 7/2*z**2 + a + 2*z**3.
z*(z + 1)**2*(z + 10)/6
Let s(b) = -5*b**2 + 167*b + 6712. Let w(c) =