9*z**3 - 73*z**3 - 13*z - d*z - 20*z**2 = 0. Calculate z.
-4, -1, 0
Factor -455/8 + 227/4*u + 1/8*u**2.
(u - 1)*(u + 455)/8
Solve -315844 - 2248/3*l - 4/9*l**2 = 0 for l.
-843
Let s(j) = -198*j**3 - 234*j**2 + 1058*j - 846. Let t(c) = 20*c**3 + c**2 + 2*c - 1. Let i(o) = -s(o) - 10*t(o). Solve i(g) = 0.
1, 4, 107
Let o(b) = b**3 - 39*b**2 + 72*b + 80. Let i be o(37). Suppose -15 = -5*l, l = -9*n + i*n + 9. Determine t, given that -4/5 - n*t + 14/5*t**2 = 0.
-2/7, 1
Let c(d) be the first derivative of -d**4/10 - 16*d**3/5 + 51*d**2/5 + 1156*d - 6471. Suppose c(g) = 0. What is g?
-17, 10
Let l(n) be the second derivative of n**5/5 + 4*n**4/3 + 10*n**3/3 + 4*n**2 - 116*n + 22. Suppose l(k) = 0. What is k?
-2, -1
Suppose 36867*o = 36873*o. Determine i, given that 0*i - 16/7*i**2 - 2*i**4 - 60/7*i**3 + o = 0.
-4, -2/7, 0
Let x = -1389057/13 - -106851. Let 2/13*r**4 - 2/13*r**2 + x*r**3 - 6/13*r + 0 = 0. Calculate r.
-3, -1, 0, 1
Let c be -2 + 56/7 - (1 - -2). Let m(t) = -t**3 - 9*t**2 - 9*t - 3. Let a be m(-8). Factor -3*f**3 - 2*f**3 - c*f**2 - 3*f**4 - 3*f**a + 8*f**3 + 6*f**2.
-3*f**2*(f - 1)*(f + 1)**2
Let w be 0/1 - (2526/(-1935))/1. Let u = w - -6/215. Factor u*i**3 + 2*i**2 - 8/3*i - 8/3 - 2/3*i**4.
-2*(i - 2)**2*(i + 1)**2/3
Let o(u) be the first derivative of 10*u**3 + 85/4*u**2 + 5/8*u**4 - 75*u + 102. Factor o(i).
5*(i - 1)*(i + 3)*(i + 10)/2
Suppose 0 = -i - 2, 5*i = -5*l + 117181 - 41091. Suppose 3818 + 4079 - l*m**2 + 3*m**4 - 1092*m**3 - 2065 - 8316*m - 23*m**4 = 0. Calculate m.
-27, -1, 2/5
Suppose 19*u = 28 + 314. Find n such that 112*n**2 - 25*n**2 - 63*n**3 + u*n**4 - 45*n + 6 - 3*n**4 = 0.
1/5, 1, 2
Let h(o) = o**3 + 30*o**2 + 51*o - 16. Let r = -9 + 12. Let d(z) = -2*z**3 - 33*z**2 - 52*z + 16. Let y(i) = r*d(i) + 2*h(i). Factor y(p).
-(p + 2)*(p + 8)*(4*p - 1)
Suppose 0 = 539*i + 355*i. Find j, given that i + 4/3*j**2 - 56/3*j = 0.
0, 14
Let o(i) = 184*i**3 + 780*i**2 - 1948*i + 944. Let w(c) = 41*c**3 + 173*c**2 - 433*c + 210. Let v(r) = 9*o(r) - 40*w(r). Factor v(q).
4*(q - 1)*(q + 8)*(4*q - 3)
Let y(j) be the second derivative of -1/5*j**5 - 1/30*j**6 + 0 + 2*j**3 - 9/2*j**2 + 1/6*j**4 - 4*j. Suppose y(t) = 0. What is t?
-3, 1
Let m(z) be the second derivative of -z**5/15 - 11*z**4/6 + 8*z**3 + 16*z**2 + z + 11. Let j(f) be the first derivative of m(f). Suppose j(u) = 0. What is u?
-12, 1
Let q be ((-1036)/896)/((-10)/8 - (7 + -8)). Let s(u) be the second derivative of -3*u**2 - 121/20*u**6 + 0 + 9*u**3 - 297/20*u**5 - 23*u - q*u**4. Factor s(p).
-3*(p + 1)**2*(11*p - 2)**2/2
Let c(w) be the second derivative of -2/3*w**3 - 4*w - 4 + 2/3*w**4 - 1/5*w**5 + 0*w**2. Suppose c(z) = 0. What is z?
0, 1
Suppose 99*g - 133 = 362. Let u(l) be the third derivative of 1/20*l**5 + 0 - 5/4*l**4 + 25/2*l**3 + 0*l + g*l**2. Factor u(y).
3*(y - 5)**2
Let q(g) be the third derivative of -50*g**2 + 1/2*g**4 + 0 + 0*g**3 + 0*g + 11/90*g**5 - 1/315*g**7 - 2/45*g**6. Solve q(y) = 0 for y.
-9, -1, 0, 2
Factor -1736*w**4 + 771*w**2 + 1461*w**2 - 7436*w**3 + 123*w**5 - 221*w**5 - 162*w.
-2*w*(w + 9)**2*(7*w - 1)**2
Let w = 14063/15 + -4686/5. Solve 3*s + 0 + w*s**2 = 0 for s.
-9, 0
Let t(o) be the second derivative of o**6/60 - 3*o**5/10 + o**4/8 + 52*o**3/3 + 48*o**2 + 21*o + 2. Solve t(g) = 0 for g.
-3, -1, 8
Let f(n) be the first derivative of n**4/6 - 4*n**3/9 - 4*n**2/3 + 16*n/3 + 5090. Factor f(c).
2*(c - 2)**2*(c + 2)/3
Suppose 0 = 3*l - 5*g + 10, 4*g - 2 - 28 = -2*l. Let i(w) be the second derivative of 0 - w + w**4 - 4*w**3 - 1/10*w**l + 8*w**2. Factor i(y).
-2*(y - 2)**3
Let a = 4384 + -4384. Let r(q) be the first derivative of a*q + 1/18*q**3 - 1/4*q**2 + 14. Factor r(m).
m*(m - 3)/6
Suppose 0*o**2 + 0 + 282/13*o**3 - 2/13*o**4 + 0*o = 0. What is o?
0, 141
Let a = 8242 - 8240. Let d(f) be the first derivative of 0*f**a + 2 - 4/9*f**3 + 0*f + 2/3*f**5 - 1/2*f**4. Determine k so that d(k) = 0.
-2/5, 0, 1
Let f be (-1197)/126 - (-29)/(232/112). Solve 0 + f*o**2 - 3/4*o**4 + 3/4*o**3 + 0*o = 0.
-2, 0, 3
Let u(i) be the third derivative of 2*i**7/105 + i**6/2 + 44*i**5/15 - 10*i**4 - 3*i**2 + i. Factor u(k).
4*k*(k - 1)*(k + 6)*(k + 10)
Solve 69*u**3 + 4*u**3 - 3918*u**2 - 10*u**3 + 4053*u**2 + 69*u - 3*u**4 = 0.
-1, 0, 23
Let o = -119 - -130. Factor 7*x**3 + 15*x - 16*x**2 + 14 - 4*x**3 - 4 - 18*x**3 - 5*x**4 + o*x**2.
-5*(x - 1)*(x + 1)**2*(x + 2)
Let a(x) be the third derivative of 0 + 0*x - 5/3*x**3 - 1/120*x**6 - 2/15*x**5 + 38*x**2 - 17/24*x**4. Let a(p) = 0. Calculate p.
-5, -2, -1
Let m(u) be the first derivative of 1/5*u - 1/5*u**2 + 23 + 1/15*u**3. Factor m(r).
(r - 1)**2/5
Let g(p) be the first derivative of 3*p**5/5 + 3*p**4/2 - 71*p**3 - 108*p**2 - 2393. Let g(i) = 0. What is i?
-9, -1, 0, 8
Let k = -38 - -49. Suppose 6*l = -1 - k. Let w(u) = u**2 - u + 7. Let h(n) = -n - 1. Let d(c) = l*w(c) - 6*h(c). Solve d(i) = 0 for i.
2
Let j(v) be the third derivative of -v**6/80 + 1333*v**5/120 - 6179*v**4/2 + 4107*v**3 - 1117*v**2. Factor j(l).
-(l - 222)**2*(3*l - 1)/2
Let m = 2936 - 14611/5. Let t = -943 + 4739/5. Factor -m*z + t - 9/5*z**2.
-3*(z + 8)*(3*z - 1)/5
Let o(v) be the first derivative of -2*v**5/75 - v**4/15 + 32*v**3/15 - 42*v**2/5 + 54*v/5 + 1174. Solve o(z) = 0 for z.
-9, 1, 3
Factor 175692*i**3 + 8/3 + 352352*i**2 + 5812/3*i.
4*(i + 2)*(363*i + 1)**2/3
Suppose -56/9*b - 40/9 + 2/9*b**3 - 14/9*b**2 = 0. Calculate b.
-2, -1, 10
Let q = 35970 + -35970. Let -4*a**2 + 14/3*a - 2/3*a**3 + q = 0. What is a?
-7, 0, 1
Let j(y) be the first derivative of -1/10*y**4 + 0*y + 2/15*y**3 + 89 + 1/5*y**2 - 2/25*y**5. Factor j(x).
-2*x*(x - 1)*(x + 1)**2/5
Let p(c) = c**3 - c**2 - 2. Let o(q) = 57 + 68 + 21*q**3 - 37*q**2 - 139 + 8*q. Let g(b) = 2*o(b) - 22*p(b). Factor g(u).
4*(u - 2)*(u - 1)*(5*u + 2)
Let r = 41/12025 - -23353/204425. Factor 22/17*z**2 + 0 - 12/17*z - 12/17*z**3 + r*z**4.
2*z*(z - 3)*(z - 2)*(z - 1)/17
Let a be ((-553520)/3850)/(-17) + 2 + 12/(-14). Determine c, given that 9/5*c**2 - 6/5 + a*c**3 - 17/5*c + 4*c**4 = 0.
-2, -1/2, 3/5
Suppose -32 = 7*k - 109. Determine m, given that 14*m + 34*m + 186*m - 5*m**4 + k*m + 11*m**3 + 64*m**3 - 315*m**2 = 0.
0, 1, 7
Let c(x) = -x**3 + x**2 + 3*x + 1. Let m(w) = -7*w**3 + 21*w**2 + 9*w - 51. Let f(l) = -6*c(l) + 2*m(l). Factor f(j).
-4*(j - 3)**2*(2*j + 3)
Suppose -5*p = 5*b, 3*b = -13*p + 12*p. Let j(m) be the third derivative of 1/40*m**6 - 1/20*m**5 + 0*m**4 + m**2 + b*m**3 + 0 + 0*m. Factor j(n).
3*n**2*(n - 1)
Suppose 13*y - 240 = 9*y. Let q be ((-261)/75 - -3)/((-1)/y). Factor 64/5*r**3 - q*r**2 - 4/5 + 44/5*r + 256/5*r**4.
4*(r + 1)*(4*r - 1)**3/5
Let u(n) be the second derivative of -n**6/10 - 51*n**5/4 - 102*n**4 - 322*n**3 - 480*n**2 + 535*n + 2. Suppose u(w) = 0. Calculate w.
-80, -2, -1
Let z = 173 + -171. Factor -20*g + 4*g**z - 4*g - 7*g**3 - 2*g**2 - 5*g**3 + 13*g**3.
g*(g - 4)*(g + 6)
Factor 12*f + 30*f**2 - 19 - 27*f**2 - 37*f + 539 - 8*f**2.
-5*(f - 8)*(f + 13)
Let p be 5 + 5 - 5 - (2 + -1). Factor -7/2*m**3 - 2 - 13/2*m - 1/2*m**p - 15/2*m**2.
-(m + 1)**3*(m + 4)/2
Let p = -477 - -489. Suppose 0 = 5*y + 4*n - 14, 0 = y - 5*n + p - 9. Factor -3/2*d**y - 7/2*d + 3.
-(d + 3)*(3*d - 2)/2
Suppose 3*h + z = 1149, 6*h + 2891 = -4*z + 5183. Suppose -h - 2/3*o**2 + 32*o = 0. What is o?
24
Let g be 44/(0 - -10 - (136 - 144)). Factor -4/3 - 2/9*v**3 + g*v - 8/9*v**2.
-2*(v - 1)**2*(v + 6)/9
Let b(t) = -t**2 - 3*t - 1. Let w(j) = 5*j**2 + 8*j - 7. Let i(l) = 6*b(l) + w(l). Let k be i(-8). Factor 0 - 1/7*g**k - g**2 + 0*g.
-g**2*(g + 7)/7
Let c(o) = 14621*o + 14639. Let x be c(-1). Suppose 0 + 216*q**2 + x*q**3 + 3/8*q**4 + 0*q = 0. Calculate q.
-24, 0
Let s(z) = -6*z**2 + 455*z - 50635. Let t(h) = h**2 - h + 2. Let y(w) = -4*s(w) - 20*t(w). Factor y(j).
4*(j - 225)**2
Let q(k) be the third derivative of 1/448*k**8 - 15/32*k**4 + 1/40*k**5 + 7/80*k**6 - 9/280*k**7 + 0 - 12*k**2 + 2*k + 7/8*k**3. Factor q(w).
3*(w - 7)*(w - 1)**3*(w + 1)/4
Let l be 3/9 - 494/78. Let a(g) = g**3 + 2*g**2 + g + 1. Let x(m) = -8*m**3 - 16*m**2 + 2*m + 10. Let k(p) = l*a(p) - x(p). Find r, given that k(r) = 0.
-2, 2
Find b such that -25*b - 20489*b**2 + 1 - 38*b - 20493*b**2 + 113 + 40985*b**2 = 0.
2, 19
Let s(i) be the first derivative of -2*i**3/3 - 582*i**2 - 169362*i - 1651. Factor 