6 = -4*k. Let y = -6 - w. Factor 5*h**3 + 9 + 4*h**2 - y*h - 14 + h**2.
5*(h - 1)*(h + 1)**2
Suppose -1 = x - 158. Factor -27*z**2 - x*z - 5*z**2 + 129*z + 4*z**5 + 32*z**4 + 24*z**3.
4*z*(z - 1)*(z + 1)**2*(z + 7)
Let k(j) be the second derivative of -j**6/75 - 37*j**5/50 - 19*j**4/30 + 199*j**3/5 - 108*j**2 - 176*j + 3. Suppose k(l) = 0. Calculate l.
-36, -5, 1, 3
Let j(c) = 16*c + 2. Let h be j(0). Find x, given that -2*x**2 + 9*x - x - 2*x - x**h = 0.
0, 2
Suppose -7*b + 2 = -12. Determine d, given that 6*d**3 + 17 - 55*d + d - 12 - 131 + 249*d**b - 75*d = 0.
-42, -1/2, 1
Factor -1/2*g**2 + 135 - 39/2*g.
-(g - 6)*(g + 45)/2
Let c = 36/799 - -3016/3995. Solve c*n - 6/5*n**2 + 0 + 2/5*n**3 = 0 for n.
0, 1, 2
Let t(u) be the third derivative of -u**7/42 + u**6/4 + 71*u**5/12 - 50*u**4 - 4000*u**3/3 + 19*u**2 - u + 2. Factor t(k).
-5*(k - 8)**2*(k + 5)**2
Let t(i) be the second derivative of i**7/42 - i**5/3 - 16*i**2 + 38*i. Let s(g) be the first derivative of t(g). Let s(u) = 0. Calculate u.
-2, 0, 2
Suppose 9/2 + 3/4*u - u**2 - 1/4*u**3 = 0. What is u?
-3, 2
Let o be (63/448)/((-201)/(-536)). Let -o*g**3 + 0 + 3/4*g**2 + 0*g = 0. Calculate g.
0, 2
Suppose -3*m = x - 131 + 119, 0 = 4*m + x - 15. Let f(b) be the first derivative of 56/3*b**m + 10*b**2 - 2 - 8*b**4 - 8*b. Factor f(v).
-4*(v - 2)*(2*v + 1)*(4*v - 1)
Let r(v) be the second derivative of -v**4/78 + 1166*v**3/39 + 3140*v. Factor r(t).
-2*t*(t - 1166)/13
Suppose -7*l + 304 = -277. Factor -4*t - 42*t**2 + 4*t - 37*t**2 - 4*t**3 + l*t**2.
-4*t**2*(t - 1)
Let k be 3 - 2 - 1*-2. Let l be 99/81 - 1015/1827. Find s such that 2 - 10/3*s**4 - 14/3*s + 4*s**k + 4/3*s**2 + l*s**5 = 0.
-1, 1, 3
Suppose 35 = 16*r - w, 0 = 163*r - 166*r - w + 3. Factor -5/3*y + 1/6*y**r + 3/2.
(y - 9)*(y - 1)/6
Let s(w) = -8*w**3 - 86*w**2 - 196*w - 76. Let g(i) = -7*i**3 - 87*i**2 - 193*i - 78. Let d(b) = -6*g(b) + 5*s(b). Solve d(y) = 0.
-44, -1
Let j(m) = -m**3 + 5*m**2 - 5*m + 6. Let i be j(4). Factor -47*b - 13 + 3 - 2*b**i + 9*b**2 + 0 - 4.
(b - 7)*(7*b + 2)
Suppose -9*r + 354 = 2*d - 10*r, -517 = -3*d - 2*r. Factor 113*h - 3 + 13*h + 42*h + d - 4*h**2.
-4*(h - 43)*(h + 1)
Let u = 451 + -448. Factor 38*c**2 - 10*c**4 - 21*c**3 + 45*c**u - 15*c**3 - 25*c**3 - 12*c.
-2*c*(c - 1)*(c + 3)*(5*c - 2)
Suppose -25524 = 331*j - 313*j. Let r = -1415 - j. Find i such that 0 + 3/4*i**r + 15/4*i**2 + 9/2*i = 0.
-3, -2, 0
Let j(n) be the first derivative of n**4/8 + 31*n**3/3 + 224*n**2 - 1024*n + 1159. Factor j(l).
(l - 2)*(l + 32)**2/2
What is t in 0*t + 0*t**2 + 0*t**3 - 2/11*t**5 + 0 + 6*t**4 = 0?
0, 33
Determine i so that -3/8*i**3 - 12*i**2 + 486 - 135/2*i = 0.
-18, 4
Let o be (2/(-54))/(330/(-135)). Let w(v) be the third derivative of 0*v - 1/66*v**5 + 8/33*v**3 - 22*v**2 - o*v**4 + 2 - 1/660*v**6. Factor w(l).
-2*(l - 1)*(l + 2)*(l + 4)/11
Suppose 1/2*k**3 - 37 - 39/2*k + 18*k**2 = 0. What is k?
-37, -1, 2
Let q = -5804 - -116081/20. Let k(v) be the third derivative of -v**2 - q*v**5 + 0*v + 0*v**3 - 1/4*v**4 + 0. Suppose k(i) = 0. What is i?
-2, 0
Let y(z) be the first derivative of z**3/3 - 2*z - 41. Let t be y(2). Determine u, given that 2 + 18*u**3 + 12*u**2 - 4*u - 5*u - 9*u**5 - 16*u**t + 2*u**4 = 0.
-1, 2/9, 1
Let x(d) be the second derivative of d**7/77 + 56*d**6/165 + 171*d**5/110 + 15*d**4/11 + 1669*d. Determine u, given that x(u) = 0.
-15, -3, -2/3, 0
Let j(m) be the first derivative of -16/7*m**2 + 0*m - 2 - 1/14*m**4 - 20/21*m**3. Factor j(k).
-2*k*(k + 2)*(k + 8)/7
Let v be (10/(-36))/(26*39/(-13689)). Suppose v*l - 5/4*l**2 + 0 = 0. Calculate l.
0, 3
Let k = 8 + 61. Find z such that -k*z**2 + 183*z**2 - 39*z**2 - 5 + 5*z + 30*z**4 + 10*z + 85*z**3 = 0.
-1, 1/6
Let r(w) be the third derivative of -w**7/105 + 13*w**6/30 - 8*w**5 + 153*w**4/2 - 405*w**3 + 5504*w**2. Factor r(t).
-2*(t - 9)**2*(t - 5)*(t - 3)
Factor -13*n**3 - 19*n**3 + 740*n**2 + 80*n**3 - 11*n**3 - 33*n**3 - 106032 + 33088*n.
4*(n - 3)*(n + 94)**2
Suppose 0 = -3*j - 2*f - 4, 2*f + 4 + 2 = -2*j. Suppose -59 - 46 + 5*v**2 - 3*v**2 + 6*v**2 - 3*v**j + 100*v = 0. What is v?
-21, 1
Let p(w) be the first derivative of -w**4/4 + 4*w**2 + 693. Let q be p(-3). Factor 1/3*k + 0 - 2/3*k**2 + 1/3*k**q.
k*(k - 1)**2/3
Let h(l) be the second derivative of l**5/5 + 190*l**4/3 - 2*l**3/3 - 380*l**2 - 223*l. Factor h(p).
4*(p - 1)*(p + 1)*(p + 190)
Let b(w) be the first derivative of 0*w**2 + 9/8*w**3 - 45 + 3/32*w**4 + 0*w. Factor b(r).
3*r**2*(r + 9)/8
Let d(f) = -9*f**3 + 93*f**2 + 6*f - 91. Let m(i) = 3*i**3 - 31*i**2 - 4*i + 30. Let p(j) = -6*d(j) - 17*m(j). Factor p(t).
(t - 9)*(t - 2)*(3*t + 2)
Let a(d) = 3*d**5 + 30*d**4 - 93*d**3 - 102*d**2 + 182*d + 160. Let o(i) = -i**5 + i**3 - i**2 + i. Let c(l) = -a(l) + 2*o(l). Find w such that c(w) = 0.
-8, -1, 2
Let d(p) be the second derivative of -15*p + 1 + 0*p**4 + 0*p**2 + 1/20*p**5 + 0*p**3 + 1/90*p**6. Factor d(u).
u**3*(u + 3)/3
Let y be 456/30 - (-4)/(-5 + -15). Let a be (-37)/y + (-632)/(-237). Let -2/5*v**3 + 6/5*v**2 + 1/5*v + a*v**5 - 3/5*v**4 - 3/5 = 0. Calculate v.
-1, 1, 3
Let z(o) be the third derivative of o**5/120 - 29*o**4/48 - 31*o**3/6 - 880*o**2. Factor z(n).
(n - 31)*(n + 2)/2
Solve -1862450/17 - 2/17*v**2 + 3860/17*v = 0.
965
Let g be (-8)/4 - -7 - 60/(-15). Let j be (g - 280/30)*0. Determine b, given that 0*b**3 - 1/2*b**4 + j + 1/2*b**2 + 0*b = 0.
-1, 0, 1
Let g(f) = 8*f**2 - 28*f. Let v(x) = -x**2. Let j = -181 + 191. Let u(n) = j*v(n) + g(n). Solve u(b) = 0.
-14, 0
Factor h**4 + 6399955020 - 1044*h**3 - 57684582*h + 408726*h**2 - 13433742*h - 1759484379.
(h - 261)**4
Factor -2/3*s**3 - 94/3*s**2 + 0 + 196/3*s.
-2*s*(s - 2)*(s + 49)/3
Let z(f) be the first derivative of -35*f**3/12 + 1405*f**2/4 - 200*f + 1329. Factor z(d).
-5*(d - 80)*(7*d - 2)/4
Suppose 5*s + 65 = 10. Let b(a) = -a**3 - 11*a**2 + 4*a + 48. Let m be b(s). Determine c, given that 7 - 6*c**2 - 4 - c**4 + m*c**4 = 0.
-1, 1
Let g(c) be the third derivative of 32*c**2 + 0*c**3 - 1/210*c**7 + 0 + 0*c**4 + 0*c - 1/20*c**5 + 1/30*c**6. Determine b, given that g(b) = 0.
0, 1, 3
Let r(k) be the first derivative of -3*k**4/4 - 233*k**3 + 1407*k**2/2 - 705*k - 4717. Determine q so that r(q) = 0.
-235, 1
Factor -5021/8*s + 1255/4 - 1/8*s**3 + 314*s**2.
-(s - 2510)*(s - 1)**2/8
Suppose 5*l + 11 = -2*k - 0*l, 2*l = k - 17. Let c be (k - 6)/(1/3). Suppose 8*p**2 + 2*p**5 + 6*p**c - 8*p**4 + 297 - 297 - 8*p = 0. What is p?
-1, 0, 1, 2
Let u be (52/(-78))/((-1)/(-3)). Let q = 13/5 + u. Let -q*j**3 - 3/5 + 3/5*j + 3/5*j**2 = 0. What is j?
-1, 1
Let v(b) be the second derivative of -90*b + 0 - b**3 + 3/10*b**5 + 1/4*b**4 + 0*b**2 - 1/10*b**6. Factor v(a).
-3*a*(a - 2)*(a - 1)*(a + 1)
Let q(o) be the second derivative of -19*o + 4/15*o**4 + 0 + 0*o**5 + 0*o**2 + 0*o**3 - 2/75*o**6. Determine u so that q(u) = 0.
-2, 0, 2
Let c(g) be the first derivative of 2*g**6/15 + 64*g**5/25 - 39*g**4/5 - 40*g**3/3 + 152*g**2/5 + 288*g/5 - 517. Determine x so that c(x) = 0.
-18, -1, 2
Let y(b) = 123*b**3 - 2*b + 1. Let l be y(2). Let 6*f**2 - 1954*f**4 + l*f**4 + 976*f**4 + 9*f**3 = 0. What is f?
-2, -1, 0
Let v be ((-192)/84)/((-40)/28 - -1). Let l(p) be the first derivative of -18*p**2 + 37 - v*p**3 - 8*p. Factor l(c).
-4*(c + 2)*(4*c + 1)
Let y = 39594 - 356330/9. Let t = 22717/9 - 2517. Determine n so that 100/9*n**4 + y*n + 0 - 28/9*n**3 - t*n**2 + 16/3*n**5 = 0.
-2, -1, 0, 1/4, 2/3
Let w(j) be the second derivative of 18*j + 2 + 3/4*j**2 + 7/48*j**4 + 13/24*j**3. Determine g, given that w(g) = 0.
-1, -6/7
Let m(h) be the third derivative of h**7/70 + 11*h**6/40 + 2*h**5/5 - 5*h**4/2 - 2*h**2 + 165*h + 3. Factor m(j).
3*j*(j - 1)*(j + 2)*(j + 10)
Let r = 187557 - 187554. Solve 1/2*d**r - 2*d**2 + 3 + 1/2*d = 0 for d.
-1, 2, 3
Let q(g) be the third derivative of 0*g + 0 + 1/8*g**4 - 2/3*g**3 - 80*g**2 + 1/60*g**5. Determine i, given that q(i) = 0.
-4, 1
Suppose -5*m - 2*o = -12, 0 = 14*m - 16*m + 3*o + 1. Let 2826*x - 2554*x - 20*x**4 - 80 + 164*x**3 - 4*x**5 - 234*x**2 - 98*x**m = 0. What is x?
-10, 1, 2
Let f(c) be the third derivative of 10*c**2 - 1/40*c**4 + 0*c - 1/100*c**5 + 0*c**3 + 0. Factor f(a).
-3*a*(a + 1)/5
Let q(s) = 3*s**3 + 11*s**2 - 23*s + 15. Let c(b) = -5*b**3 - 43 - 8*b - 12*b**2 + 28 + 31*b. Let o(a) = -2*c(