(n - 2)*(n + 2)**2/9
Let p = -146 - -149. Let z(s) be the third derivative of 3*s**2 + 0 + 1/120*s**5 + 0*s**p + 0*s - 1/24*s**4. What is m in z(m) = 0?
0, 2
Let q(m) be the third derivative of m**6/360 - m**5/60 - m**4/18 - 2*m**2 - 62. What is h in q(h) = 0?
-1, 0, 4
Let q be (-387)/473*(-26)/117. Find g, given that 10/11*g**4 + 26/11*g + q*g**5 - 28/11*g**3 - 14/11 + 4/11*g**2 = 0.
-7, -1, 1
Let f(k) be the second derivative of -11*k + 3/8*k**5 + 15/8*k**2 + 1/24*k**6 + 5/4*k**4 + 25/12*k**3 + 0. Find j such that f(j) = 0.
-3, -1
Let f(g) be the second derivative of -9*g**5/10 + 4*g**4/3 + g**3/3 - 185*g. Factor f(x).
-2*x*(x - 1)*(9*x + 1)
Let h(m) be the first derivative of -2*m**5/25 - 9*m**4/5 - 72*m**3/5 - 216*m**2/5 - 27. Find q such that h(q) = 0.
-6, 0
Let p be 360/182 + 1 + -3. Let s = 24/91 - p. Find r, given that s*r**5 - 4/7*r - 6/7*r**4 + 0 + 2/7*r**3 + 6/7*r**2 = 0.
-1, 0, 1, 2
Let i = -68/3 + 1499/66. Let m(v) be the first derivative of -4/33*v**6 + i*v**4 - 4 - 6/55*v**5 + 0*v**3 + 0*v**2 + 0*v. Let m(j) = 0. What is j?
-1, 0, 1/4
Let r be 57/18 + 2/(-12). Let n be (r - 5 - 0)/(-1) + 1. Factor 2/3*b**n + 1/3*b + 0 - b**2.
b*(b - 1)*(2*b - 1)/3
Let s(f) be the second derivative of -2*f**4/9 - f**3 - 2*f**2/3 - 255*f + 2. Solve s(r) = 0.
-2, -1/4
Let x(m) be the third derivative of m**6/360 - 4*m**5/45 + 13*m**4/18 - 8*m**3/3 - 78*m**2. Factor x(b).
(b - 12)*(b - 2)**2/3
Let m(u) = u**3 + 18*u**2 - 2*u - 43. Let t be m(-18). Let w be t*(2/7)/(-1). Find b such that -4/3*b - 2/3*b**w + 0 + 2/3*b**3 = 0.
-1, 0, 2
Let t be (1 + 1)/(-4)*-4. Suppose z - 8*z + 28 = 0. Determine f, given that 0*f**z - 5*f**4 + 11*f**4 - 4*f**2 - t*f**3 - 4*f**4 = 0.
-1, 0, 2
Let u(k) = -k**3 - k**2 - k. Let m(h) = 3*h**3 - 2*h**2 - 8*h + 18. Let t(l) = m(l) + 4*u(l). Let s(a) be the first derivative of t(a). Factor s(c).
-3*(c + 2)**2
Factor 2/5*n**2 + 5290 - 92*n.
2*(n - 115)**2/5
Suppose 0 = 2*y - m - 48, -2*m - 2*m = y - 24. Let j be (y/(-56))/((-12)/21 + 0). Find u such that j*u**2 - 3/2*u + 3/4 = 0.
1
Suppose 0 = -5*b + 44 - 14. Suppose 5*z = 4*l + 26, 4*l + b = -3*z + l. Factor 0*w + 0*w**z - 1/2*w**4 + 0 + 1/2*w**3.
-w**3*(w - 1)/2
What is z in -10/3*z**3 + 2/15*z**4 - 328/15*z + 32/3 + 72/5*z**2 = 0?
1, 2, 20
Factor 4/5*j**2 + 21/10*j + 9/5 + 1/10*j**3.
(j + 2)*(j + 3)**2/10
Let o(x) = -4*x - 22. Let m be o(-7). Let q(u) be the first derivative of -3/5*u**5 + 3/4*u**4 - 15/2*u**2 + m*u + 5 + 3*u**3. Factor q(t).
-3*(t - 1)**3*(t + 2)
Let s(j) = -4*j**3 + 62*j**2 + 136*j - 64. Let y(f) = -f**3 + 21*f**2 + 46*f - 21. Let i(v) = 3*s(v) - 8*y(v). Solve i(r) = 0 for r.
-2, 1/2, 6
Let b be (1 + -3)*(-90 + 89). Suppose -2*q - 2*g = -q + 3, 3*g = -5*q + 6. Factor -2/13*k + 2/13*k**b + 2/13*k**q - 2/13.
2*(k - 1)*(k + 1)**2/13
Let v(b) = 88*b + 440. Let s be v(-5). Let s*n + 4/5*n**2 + 0 = 0. Calculate n.
0
Let k be (10/6)/((50/12)/5). Suppose -v = 5, -2*t - 1 = -v + k*v. Determine m so that 2 - 2/3*m**5 - 2/3*m - 4*m**t + 4/3*m**3 + 2*m**4 = 0.
-1, 1, 3
Let n be (33/(-22)*2/18)/((-2)/8). Determine y so that n + 2/3*y**2 + 4/3*y = 0.
-1
Let s = 2169/622 + 4/311. Factor 5/6*w - s*w**2 + 0 + 2/3*w**3.
w*(w - 5)*(4*w - 1)/6
Let x(w) = -24*w**3 - 29*w**2 - 11*w + 1. Let h(f) = -f + 2*f + 20*f**2 + 1 - 19*f**2. Let k = -15 + 9. Let j(m) = k*h(m) + 2*x(m). Factor j(s).
-4*(2*s + 1)**2*(3*s + 1)
Let w be (-16)/72 + (-2)/9. Let b = w + 25/36. Factor 0 + b*z - 1/4*z**2.
-z*(z - 1)/4
Let b(k) = -2*k**2 - 11*k - 2. Let n be b(-5). Suppose 21*h**3 + 2*h + 2*h**2 - 5*h**3 - 10*h**n - 6*h = 0. Calculate h.
-1, 0, 2/3
Find t such that -4/3*t**2 + 0 + 28/3*t = 0.
0, 7
Let m(r) be the first derivative of r**4/4 - 5*r**3/2 + 6*r**2 + 10*r - 24. Let s(p) be the first derivative of m(p). Solve s(j) = 0 for j.
1, 4
Let i(a) be the second derivative of -a**9/1260 - 23*a**8/2240 - a**7/28 + 3*a**6/80 + 11*a**4/6 + 32*a. Let p(t) be the third derivative of i(t). Factor p(f).
-3*f*(f + 3)**2*(4*f - 1)
Let a(k) be the first derivative of k**6/2 - 12*k**5/5 + 9*k**4/4 + 4*k**3 - 6*k**2 + 264. Factor a(y).
3*y*(y - 2)**2*(y - 1)*(y + 1)
Let q = 144 - 140. Let x = 514 + -508. What is j in 0 - x*j**3 - 2/3*j - 8/3*j**q - 4*j**2 = 0?
-1, -1/4, 0
Let x be (-3)/(12/(-10)) - 27/27. Determine m so that -7/8*m**2 + x*m + 1/2 = 0.
-2/7, 2
Let c be (-24)/(-6) + (-1 - -1). Factor -4*g**4 + 16*g**2 + 6*g - c*g**3 + 11*g**3 - g**3.
-2*g*(g - 3)*(g + 1)*(2*g + 1)
Let n(u) be the second derivative of 0*u**2 - 1/10*u**6 + 0 - 1/4*u**4 + 0*u**3 + 3/10*u**5 - 12*u. Factor n(t).
-3*t**2*(t - 1)**2
Let m(o) be the first derivative of o**3/12 - 7*o**2/4 - 15*o/4 + 187. Factor m(q).
(q - 15)*(q + 1)/4
Let 0 + 24*w + 12/5*w**2 - 27/5*w**4 - 54*w**3 = 0. What is w?
-10, -2/3, 0, 2/3
Let o = 364/1585 - -54/317. Let k be (-32)/(-30)*(-9)/(-3). Factor -k*c - 32/5 - o*c**2.
-2*(c + 4)**2/5
Let p = 3 + 0. Factor -10*c - c**p - 2*c**3 + 13*c + 0*c**3.
-3*c*(c - 1)*(c + 1)
Let s = -77 - -73. Let q be (-9)/(-45)*(-10)/s. Determine f so that -q*f**2 + 0 - 1/2*f + 1/2*f**4 + 1/2*f**3 = 0.
-1, 0, 1
Let l(c) be the first derivative of -3*c**5/10 + 111*c**4/8 + 117*c**3/2 + 357*c**2/4 + 60*c + 167. Factor l(n).
-3*(n - 40)*(n + 1)**3/2
Let l(i) be the first derivative of 2*i**3/3 - 35*i**2/2 + 72*i - 13. Let h(g) = g**2 - 18*g + 36. Let b(q) = -11*h(q) + 6*l(q). Factor b(r).
(r - 6)**2
Factor -10*h**4 - 363*h**3 + 351*h**3 - 6*h + 6 - h**5 + 4*h**2 - h**5 + 20*h.
-2*(h - 1)*(h + 1)**3*(h + 3)
Let g = -3044 + 12177/4. Solve 1/4*p**4 + g*p + 0 + 3/4*p**3 + 3/4*p**2 = 0 for p.
-1, 0
Factor 81*p - 78*p**2 + 331*p**3 - 27 + 9*p**4 - 160*p**3 - 3*p**5 - 153*p**3.
-3*(p - 3)*(p - 1)**3*(p + 3)
Let f be (56/(-16))/(1/(-2)). Let k(j) = 10*j**3 - 5*j**2 - 15*j + 15. Let y(i) = -15*i**3 + 8*i**2 + 22*i - 22. Let n(z) = f*k(z) + 5*y(z). Factor n(m).
-5*(m - 1)**2*(m + 1)
Let f be ((-6)/14*2)/(1/(-7)). Let h(r) be the third derivative of 1/48*r**4 + 1/60*r**5 - 1/240*r**f + 0 + 0*r + 11*r**2 - 1/6*r**3. Let h(a) = 0. What is a?
-1, 1, 2
Suppose 0 = -3*c + 2*c. Let l(r) = -6 + 7 + c*r**3 + r**4 - r**3 - r. Let y(g) = -3*g**4 + 15*g**3 + 9*g**2 + 9*g - 6. Let t(w) = 6*l(w) + y(w). Solve t(f) = 0.
-1, 0
Suppose 12/5*b**3 - 12/5 + 4/5*b**4 + 38/5*b - 2/5*b**5 - 8*b**2 = 0. Calculate b.
-3, 1, 2
Let w(a) be the first derivative of -2*a**6/27 - 8*a**5/45 + 43. Let w(p) = 0. What is p?
-2, 0
Factor -18*y**2 + 17*y**4 - 18*y**4 + 4*y**4 + 3*y**3.
3*y**2*(y - 2)*(y + 3)
Suppose -x - 26 = -5*t, -t + 178 = 4*x + 198. What is k in 17*k**2 - 1/2*k**5 - 49/2 - 31*k**3 + 63/2*k + 15/2*k**t = 0?
-1, 1, 7
Factor 8/3*r - 2/3*r**3 + 2/3*r**4 - 8/3*r**2 + 0.
2*r*(r - 2)*(r - 1)*(r + 2)/3
Let k(z) = 385*z + 773. Let b be k(-2). Determine h, given that 4/9*h - 1/9*h**b - 4/9 + 1/9*h**2 = 0.
-2, 1, 2
Let h be 77 - (2 + 0)/(-2). Let v = 80 - h. Factor -2/9*f**3 - 2/9*f + 0 + 4/9*f**v.
-2*f*(f - 1)**2/9
Let l be (-3)/(-154)*(-42)/(-540). Let d(r) be the third derivative of 0 + 0*r**3 - 1/132*r**4 + 3*r**2 + l*r**6 + 0*r + 0*r**5. Determine j so that d(j) = 0.
-1, 0, 1
Suppose 7*x + x = -7*x. Determine y, given that -39/7*y**3 - y**5 + 6/7*y + 33/7*y**4 + y**2 + x = 0.
-2/7, 0, 1, 3
Factor 3/2*c**2 + 0 + 195/2*c.
3*c*(c + 65)/2
Let o(v) = v**2 + v - 5. Let t(j) = -12*j**2 - 82*j + 198. Let h(c) = 28*o(c) + 2*t(c). Find k, given that h(k) = 0.
2, 32
Let r(j) = j**3 + 14*j**2 + 30*j + 75. Let m be r(-12). Let 1/6*a**5 + 0 + 0*a + 1/3*a**4 + 1/6*a**m + 0*a**2 = 0. What is a?
-1, 0
Let k(g) = g**4 - g**2 + 2*g - 1. Let t(d) = 2*d**4 + 19*d**3 + 17*d**2 + 6*d - 3. Let c(i) = -15*k(i) + 5*t(i). Let c(b) = 0. Calculate b.
-1, 0, 20
Let b be (-5)/(-20) - (-43)/4. Suppose -4*m = 4*w - w - b, 4*w = -4*m + 12. Suppose 3*g**m - g**3 - g - 7*g**2 + 2*g**2 = 0. What is g?
-1, 0
Let z(g) be the first derivative of -6/11*g**2 - 2/33*g**3 + 8 - 18/11*g. Solve z(c) = 0.
-3
Let c(b) be the second derivative of 75*b**5/4 - 725*b**4/12 - 10*b**3 + 10*b**2 - 90*b. Determine w, given that c(w) = 0.
-1/5, 2/15, 2
Factor -3/2*z**2 + 0 + 0*z + 3/4*z**4 - 3/4*z**3.
3*z**2*(z - 2)*(z + 1)/4
Let h(t) be the third derivative of 12*t**2 - 5/24*t**4 - 1/210*t**7 + 1/120*t**6 + 1/3*t**3 + 0 + 1/20*t**5 + 0*t. Factor h(a).
-(a - 1)**3*(a + 2)
Let m(j) be the second derivative of -j*