/2 - 8*j**3 + 364*j**2. Let h(v) = 0. What is v?
-2, 2/9, 1, 4
Let v = -2568 + 2570. Solve -4/3*k**3 + 8/3*k**v + 4/3*k - 8/3 = 0 for k.
-1, 1, 2
Let a be (144/240)/(2/4). Let x be (3 + -4)*-3 - 1. Factor a*z - 2*z**x + 4/5.
-2*(z - 1)*(5*z + 2)/5
Let r = -9 - -6. Let j(o) = -o - 1. Let d be j(r). Solve 3 + w**2 + 9 + d*w + 4*w - 3 = 0.
-3
Determine z so that -287/3*z**3 - 359/3*z**2 + 108 + 35/3*z**4 + 96*z - 1/3*z**5 = 0.
-1, 1, 18
Suppose 0*a - 2*a = -12. Let b(x) = 12*x + a - 3*x - 2 - 1. Let l(n) = -n**2 - 17*n - 5. Let q(u) = 5*b(u) + 3*l(u). Factor q(m).
-3*m*(m + 2)
Let u(p) be the second derivative of 0*p**2 + 8*p + 0*p**3 - 2/3*p**4 + 0*p**6 - 3/5*p**5 + 0 + 2/21*p**7. Factor u(w).
4*w**2*(w - 2)*(w + 1)**2
Let j(a) be the third derivative of -a**7/2520 + a**5/120 - a**4/36 - a**3/3 - 12*a**2. Let o(l) be the first derivative of j(l). Factor o(y).
-(y - 1)**2*(y + 2)/3
Let m(n) be the third derivative of -1/315*n**7 + 1/450*n**6 - 1/45*n**3 + 1/180*n**4 - 1/840*n**8 + 0*n + 31*n**2 + 1/75*n**5 + 0. What is r in m(r) = 0?
-1, 1/3, 1
Factor 39/2*b**3 - 75*b**2 + 12 + 66*b.
3*(b - 2)**2*(13*b + 2)/2
Let p = -517 - -523. Let l(j) be the first derivative of -7 + 0*j - 10/33*j**3 - 2/11*j**2 + 1/11*j**p - 1/22*j**4 + 2/11*j**5. Determine z so that l(z) = 0.
-1, -2/3, 0, 1
Let b(t) be the second derivative of -t**9/8640 - t**8/13440 + 7*t**4/12 - 13*t. Let c(a) be the third derivative of b(a). What is z in c(z) = 0?
-2/7, 0
Let x(f) be the first derivative of 1/6*f**4 - 14/9*f**3 - 15 - 6*f + 5*f**2. Determine q so that x(q) = 0.
1, 3
Factor 6/11*f**3 + 38/11*f**2 - 24/11 + 8/11*f.
2*(f + 1)*(f + 6)*(3*f - 2)/11
Solve -2/11*i**4 - 2*i**3 + 2/11*i**5 + 0 + 36/11*i + 18/11*i**2 = 0.
-3, -1, 0, 2, 3
Let b(h) be the first derivative of -2*h**7/105 + h**6/10 - 2*h**4/3 - 5*h**2 + 8. Let y(j) be the second derivative of b(j). Factor y(a).
-4*a*(a - 2)**2*(a + 1)
Let a(c) be the first derivative of c**6/72 - c**5/12 + 19*c**3/3 - 8. Let q(y) be the third derivative of a(y). Factor q(l).
5*l*(l - 2)
Let q be (-20)/14 - 6/(1 + 2). Let k = 100/21 + q. Factor 2 + 2/9*m**2 + k*m.
2*(m + 3)**2/9
Let q(x) be the second derivative of -x**4/36 - 11*x**3/18 - 5*x**2/3 - 6*x - 42. Factor q(j).
-(j + 1)*(j + 10)/3
Let m(s) be the second derivative of -5*s**4/54 + s**3/3 - 4*s**2/9 + 45*s. Let m(z) = 0. What is z?
4/5, 1
Let v(n) be the second derivative of -n**5/50 - 17*n**4/30 - 44*n**3/15 - 28*n**2/5 - 332*n - 2. Find j, given that v(j) = 0.
-14, -2, -1
Let q(o) be the second derivative of 5*o + 0 - 1/120*o**5 + 0*o**2 - 1/18*o**3 + 1/24*o**4. Factor q(c).
-c*(c - 2)*(c - 1)/6
Let f be (-3 - 0) + -4 - (13 + -22). Solve 16/7*v**f - 6/7*v**3 + 0 - 8/7*v = 0.
0, 2/3, 2
Let q(j) be the first derivative of 0*j + 7/72*j**4 - 4 + 1/15*j**5 + 1/18*j**3 - j**2. Let c(y) be the second derivative of q(y). Find h such that c(h) = 0.
-1/3, -1/4
Factor -2*c**3 + 4/7*c**4 + 2/7 - 10/7*c + 18/7*c**2.
2*(c - 1)**3*(2*c - 1)/7
Let 57/2 + 30*d + 3/2*d**2 = 0. What is d?
-19, -1
Let f be 3*8/(-84)*(-245)/7. Suppose -3*n = -j - 1, -f + 25 = -5*n + 5*j. Factor 0*q**4 + 0*q + 4/7*q**5 - 12/7*q**3 + 0 + 8/7*q**n.
4*q**2*(q - 1)**2*(q + 2)/7
Let a = -70 - -73. Let a*h**4 + 51*h**2 + 6*h**3 - 8*h - h**4 - 51*h**2 = 0. Calculate h.
-2, 0, 1
What is h in 40*h**2 + h**4 + 22*h - 21*h**3 - 9*h + 35*h + 32*h**3 = 0?
-4, -3, 0
Let g(x) be the first derivative of -x**5/12 + 5*x**3/6 + 3*x**2 + 15. Let w(b) be the second derivative of g(b). Determine a, given that w(a) = 0.
-1, 1
Suppose -17 = -8*j + 7. Solve 35*o - 8*o + j*o**2 - 6 - 17*o - 13*o = 0.
-1, 2
Let r(h) = -h**2 - 10*h - 14. Let c be r(-8). Let p(d) be the second derivative of 0*d**3 + 2*d + 0 + 0*d**4 - 3/20*d**5 + 0*d**c. Solve p(v) = 0.
0
Let m(z) = z**3 + 10*z**2 + 16*z + 1. Let t be m(-8). Let u be t/(5 + -6 + 0)*0. Suppose -1/3*a**2 + u + 0*a + 1/3*a**4 - 1/6*a**5 + 1/6*a**3 = 0. Calculate a.
-1, 0, 1, 2
Let i = 12 - 8. Suppose 0 = 3*o + 4*c + 14, -c - 2 = i*o + c. Factor -20*n**2 - 20*n**2 + 38*n**o.
-2*n**2
Factor 44*y**2 - 13*y - 24*y**3 - 36*y**4 - 15*y + 25*y**4 + 15*y**4 + 4*y.
4*y*(y - 3)*(y - 2)*(y - 1)
Let v = 353 - 351. Let p(y) be the first derivative of 0*y**v + 1/15*y**3 - 1/5*y + 5. Factor p(o).
(o - 1)*(o + 1)/5
Let m = 2638/3 - 878. Factor -s**2 - 1/3*s**4 + m*s + 4/3 - 4/3*s**3.
-(s - 1)*(s + 1)*(s + 2)**2/3
Let c(a) = 2*a**2 + a - 4. Let p be c(2). Suppose 4*u - 2*u - p = 0. Factor -4*k**4 + 2*k**3 + 2*k**4 + u*k**3 + 2*k**2 - 5*k**4.
-k**2*(k - 1)*(7*k + 2)
Let m(v) be the third derivative of -8/9*v**3 - 1/630*v**7 + 0 - 17*v**2 + 0*v + 0*v**6 + 2/45*v**5 + 0*v**4. Factor m(k).
-(k - 2)**2*(k + 2)**2/3
Let c(r) = -r**3 - r**2 - r + 1. Let t(k) = k**3 - 7*k**2 - k + 1. Let f(w) = -w**3 + w**2. Let d(s) = 5*f(s) + t(s). Let y(q) = 4*c(q) - 4*d(q). Factor y(v).
4*v**2*(3*v + 1)
Determine q so that 56*q - 2 + 29*q - 30*q**3 + 25*q**2 - 20*q + 12 = 0.
-1, -1/6, 2
Let t(i) be the third derivative of i**7/70 + 41*i**6/40 + 117*i**5/20 + 115*i**4/8 + 19*i**3 + i**2 - 21. Factor t(d).
3*(d + 1)**3*(d + 38)
Let a(f) = -f**3 - 4*f**2 + 3*f + 2. Let v be a(-5). Suppose 5*t - t - v = 0. Find x, given that -2/9*x**t + 4/9*x + 0 + 2/9*x**2 = 0.
-1, 0, 2
Let b(c) be the third derivative of -c**6/300 - 4*c**5/15 + 83*c**4/60 - 14*c**3/5 + 104*c**2. Find m such that b(m) = 0.
-42, 1
Let v(o) be the second derivative of -o**4/54 - 11*o**3/27 - 10*o**2/9 + 3*o + 1. Factor v(s).
-2*(s + 1)*(s + 10)/9
Let l = -37 + 42. Let m(b) = -5*b**4 - 3*b**3 + 8*b**2. Let j(z) = -3*z**4 - 2*z**3 + 5*z**2. Let s(n) = l*m(n) - 8*j(n). Factor s(r).
-r**3*(r - 1)
Let j be (-240)/(-15)*((27 - 23) + (-19)/6). Factor 32/3 + 4/3*v**5 - 16/3*v - j*v**2 + 16/3*v**4 + 4/3*v**3.
4*(v - 1)**2*(v + 2)**3/3
Let j(c) be the third derivative of 0 + 0*c**5 + 1/16*c**4 - 1/80*c**6 + 0*c + 0*c**3 + 11*c**2. Factor j(i).
-3*i*(i - 1)*(i + 1)/2
Let q be 12/(-5)*((-45)/6 - -5). Suppose b = -b + q. Factor 6*n + 15*n**2 - 3/2*n**5 - 3/2*n**b - 12 - 6*n**4.
-3*(n - 1)**2*(n + 2)**3/2
Let w(l) be the first derivative of 18*l**5/5 + 17*l**4 - 70*l**3/3 - 156*l**2 + 72*l + 87. Factor w(v).
2*(v - 2)*(v + 3)**2*(9*v - 2)
Let c be ((-393)/(-524))/((-3)/(-3)). Factor c*b**4 + 4*b + 13/2*b**2 + 4*b**3 + 3/4.
(b + 1)**2*(b + 3)*(3*b + 1)/4
Let t be (-1 - 0)*(2 + -1). Let p be (t - 22/(-18)) + (-22)/99. Factor 0*x - 2/3*x**3 + 0 - 2/3*x**4 + p*x**2.
-2*x**3*(x + 1)/3
Factor 2/3*t**4 - 2 - 29/6*t - 8/3*t**2 + t**3 - 1/6*t**5.
-(t - 4)*(t - 3)*(t + 1)**3/6
Let n(i) = i**2 + 2*i. Let z be n(-3). Let -3*h**2 - h**2 - 39*h**z + 45*h**3 - 2*h**5 = 0. Calculate h.
-2, 0, 1
Factor -2*n**4 + n**5 - 5*n**2 - 6*n**3 - 3 + 2*n**5 - n**4 + 3*n + 11*n**2.
3*(n - 1)**3*(n + 1)**2
Let d(f) be the third derivative of 0 - 30*f**2 + 16/15*f**3 + 0*f + 1/75*f**5 - 3/10*f**4. Let d(b) = 0. Calculate b.
1, 8
Let o be 2/2*21/(-7). Let c = -1 - o. Solve 14*k + 3*k**c - 5*k**3 - 19*k - 13*k**2 + 0*k**3 = 0 for k.
-1, 0
Let y(i) be the second derivative of -i**4/6 - 3*i**3/5 - 4*i**2/5 - 3*i. Factor y(u).
-2*(u + 1)*(5*u + 4)/5
Let i be 7 + (-7 - (1 + -6)) - 5. Factor i*t**2 - 5 - 15/2*t + 5/2*t**3.
5*(t - 2)*(t + 1)**2/2
Let i(o) be the first derivative of -o**7/210 + 2*o**6/45 - 2*o**5/15 - 4*o**3 - 4. Let x(h) be the third derivative of i(h). Factor x(l).
-4*l*(l - 2)**2
Suppose 0 = 4*y - 2 - 10. Let k(p) = p**2 - p - 2. Let i be k(y). Factor 6*r - 4 - i*r**2 - 3*r**2 + 5*r**2.
-2*(r - 2)*(r - 1)
Let m = 193/15 - 61/5. Suppose 1 - m*k - 1/3*k**2 = 0. Calculate k.
-3, 1
Let r(q) be the third derivative of 0*q**3 - 2/105*q**7 - 12*q**2 + 0*q**4 + 0 + 1/15*q**5 + 0*q + 0*q**6. Factor r(f).
-4*f**2*(f - 1)*(f + 1)
Suppose 12*g = 17*g - 10. Suppose -5953*d + 5953*d + d**3 + d**g = 0. Calculate d.
-1, 0
Let b(c) be the third derivative of -c**6/300 + c**5/150 + 108*c**2. Solve b(i) = 0.
0, 1
Let q(a) be the first derivative of -a**8/2240 + a**7/560 + a**6/160 - a**5/40 - a**4/8 - 5*a**3/3 - 14. Let g(r) be the third derivative of q(r). Factor g(j).
-3*(j - 2)**2*(j + 1)**2/4
Suppose 38 = -5*w + 4*z + 56, -2*w + 12 = -4*z. Factor 24/13*o**w - 96/13*o + 128/13 - 2/13*o**3.
-2*(o - 4)**3/13
Let j = 909 - 903. Let b(d) be the third derivative of 1/280*d**j + 0 - 1/2352*d**8 + 0*d**7 + 0*d + 1/210*d*